(Subscript[Γ, 2])≅(Subscript[S, 3])

weight 2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((2)))=(Subscript[E, 2]^( * ))=lv2wt2y1

lv2wt2y1=1-(3/(π*y))-24 q-72 (q^2)-96 (q^3)-168 (q^4)-144 (q^5)-288 (q^6)-192 (q^7)-360 (q^8)-312 (q^9)-432 (q^10)-288 (q^11)-672 (q^12)-336 (q^13)-576 (q^14)-576 (q^15)-744 (q^16)-432 (q^17)-936 (q^18)-480 (q^19)-1008 (q^20)-768 (q^21)-864 (q^22)-576 (q^23)-1440 (q^24)-744 (q^25)-1008 (q^26)-960 (q^27)-1344 (q^28)-720 (q^29)-1728 (q^30)-768 (q^31)-1512 (q^32)-1152 (q^33)-1296 (q^34)-1152 (q^35)-2184 (q^36)-912 (q^37)-1440 (q^38)-1344 (q^39)-2160 (q^40)-1008 (q^41)-2304 (q^42)-1056 (q^43)-2016 (q^44)-1872 (q^45)-1728 (q^46)-1152 (q^47)-2976 (q^48)-1368 (q^49)-2232 (q^50);

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((2)))=(lv2wt2y2e1,lv2wt2y2e2)

lv2wt2y2e1=1+24 q+24 (q^2)+96 (q^3)+24 (q^4)+144 (q^5)+96 (q^6)+192 (q^7)+24 (q^8)+312 (q^9)+144 (q^10)+288 (q^11)+96 (q^12)+336 (q^13)+192 (q^14)+576 (q^15)+24 (q^16)+432 (q^17)+312 (q^18)+480 (q^19)+144 (q^20)+768 (q^21)+288 (q^22)+576 (q^23)+96 (q^24)+744 (q^25)+336 (q^26)+960 (q^27)+192 (q^28)+720 (q^29)+576 (q^30)+768 (q^31)+24 (q^32)+1152 (q^33)+432 (q^34)+1152 (q^35)+312 (q^36)+912 (q^37)+480 (q^38)+1344 (q^39)+144 (q^40)+1008 (q^41)+768 (q^42)+1056 (q^43)+288 (q^44)+1872 (q^45)+576 (q^46)+1152 (q^47)+96 (q^48)+1368 (q^49)+744 (q^50);
lv2wt2y2e2=8 (Sqrt[3]) (Sqrt[q]) (1+4 q+6 (q^2)+8 (q^3)+13 (q^4)+12 (q^5)+14 (q^6)+24 (q^7)+18 (q^8)+20 (q^9)+32 (q^10)+24 (q^11)+31 (q^12)+40 (q^13)+30 (q^14)+32 (q^15)+48 (q^16)+48 (q^17)+38 (q^18)+56 (q^19)+42 (q^20)+44 (q^21)+78 (q^22)+48 (q^23)+57 (q^24)+72 (q^25)+54 (q^26)+72 (q^27)+80 (q^28)+60 (q^29)+62 (q^30)+104 (q^31)+84 (q^32)+68 (q^33)+96 (q^34)+72 (q^35)+74 (q^36)+124 (q^37)+96 (q^38)+80 (q^39)+121 (q^40)+84 (q^41)+108 (q^42)+120 (q^43)+90 (q^44)+112 (q^45)+128 (q^46)+120 (q^47)+98 (q^48)+156 (q^49));

weight 4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((4)))=lv2wt4y1

lv2wt4y1=1+240 q+2160 (q^2)+6720 (q^3)+17520 (q^4)+30240 (q^5)+60480 (q^6)+82560 (q^7)+140400 (q^8)+181680 (q^9)+272160 (q^10)+319680 (q^11)+490560 (q^12)+527520 (q^13)+743040 (q^14)+846720 (q^15)+1123440 (q^16)+1179360 (q^17)+1635120 (q^18)+1646400 (q^19)+2207520 (q^20)+2311680 (q^21)+2877120 (q^22)+2920320 (q^23)+3931200 (q^24)+3780240 (q^25)+4747680 (q^26)+4905600 (q^27)+6026880 (q^28)+5853600 (q^29)+7620480 (q^30)+7150080 (q^31)+8987760 (q^32)+8951040 (q^33)+10614240 (q^34)+10402560 (q^35)+13262640 (q^36)+12156960 (q^37)+14817600 (q^38)+14770560 (q^39)+17690400 (q^40)+16541280 (q^41)+20805120 (q^42)+19081920 (q^43)+23336640 (q^44)+22891680 (q^45)+26282880 (q^46)+24917760 (q^47)+31456320 (q^48)+28318320 (q^49)+34022160 (q^50);

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((4)))=(lv2wt4y2e1,lv2wt4y2e2)

lv2wt4y2e1=1-144 q-912 (q^2)-4032 (q^3)-7056 (q^4)-18144 (q^5)-25536 (q^6)-49536 (q^7)-56208 (q^8)-109008 (q^9)-114912 (q^10)-191808 (q^11)-197568 (q^12)-316512 (q^13)-313728 (q^14)-508032 (q^15)-449424 (q^16)-707616 (q^17)-690384 (q^18)-987840 (q^19)-889056 (q^20)-1387008 (q^21)-1214784 (q^22)-1752192 (q^23)-1573824 (q^24)-2268144 (q^25)-2004576 (q^26)-2943360 (q^27)-2427264 (q^28)-3512160 (q^29)-3217536 (q^30)-4290048 (q^31)-3595152 (q^32)-5370624 (q^33)-4481568 (q^34)-6241536 (q^35)-5341392 (q^36)-7294176 (q^37)-6256320 (q^38)-8862336 (q^39)-7082208 (q^40)-9924768 (q^41)-8784384 (q^42)-11449152 (q^43)-9398592 (q^44)-13735008 (q^45)-11097216 (q^46)-14950656 (q^47)-12583872 (q^48)-16990992 (q^49)-14364912 (q^50);
lv2wt4y2e2=-16 (Sqrt[3]) (Sqrt[q]) (1+28 q+126 (q^2)+344 (q^3)+757 (q^4)+1332 (q^5)+2198 (q^6)+3528 (q^7)+4914 (q^8)+6860 (q^9)+9632 (q^10)+12168 (q^11)+15751 (q^12)+20440 (q^13)+24390 (q^14)+29792 (q^15)+37296 (q^16)+43344 (q^17)+50654 (q^18)+61544 (q^19)+68922 (q^20)+79508 (q^21)+95382 (q^22)+103824 (q^23)+117993 (q^24)+137592 (q^25)+148878 (q^26)+167832 (q^27)+192080 (q^28)+205380 (q^29)+226982 (q^30)+260408 (q^31)+276948 (q^32)+300764 (q^33)+340704 (q^34)+357912 (q^35)+389018 (q^36)+441028 (q^37)+458208 (q^38)+493040 (q^39)+551881 (q^40)+571788 (q^41)+619164 (q^42)+682920 (q^43)+704970 (q^44)+756112 (q^45)+834176 (q^46)+864360 (q^47)+912674 (q^48)+1008324 (q^49));

weight 6

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((6)))=lv2wt6y1

lv2wt6y1=1-504 q-16632 (q^2)-122976 (q^3)-532728 (q^4)-1575504 (q^5)-4058208 (q^6)-8471232 (q^7)-17047800 (q^8)-29883672 (q^9)-51991632 (q^10)-81170208 (q^11)-129985632 (q^12)-187132176 (q^13)-279550656 (q^14)-384422976 (q^15)-545530104 (q^16)-715608432 (q^17)-986161176 (q^18)-1247954400 (q^19)-1665307728 (q^20)-2066980608 (q^21)-2678616864 (q^22)-3243917376 (q^23)-4159663200 (q^24)-4923450504 (q^25)-6175361808 (q^26)-7261732800 (q^27)-8954092224 (q^28)-10337619600 (q^29)-12685958208 (q^30)-14429092608 (q^31)-17456963832 (q^32)-19805530752 (q^33)-23615078256 (q^34)-26481071232 (q^35)-31587041304 (q^36)-34949354832 (q^37)-41182495200 (q^38)-45660250944 (q^39)-53291422800 (q^40)-58391525808 (q^41)-68210360064 (q^42)-74092255776 (q^43)-85796909856 (q^44)-93416358672 (q^45)-107049273408 (q^46)-115589884032 (q^47)-133109345376 (q^48)-142375996728 (q^49)-162473866632 (q^50);

(Subscript[ρ, r])=1'

(Subscript[Y, 1']^((6)))=lv2wt6y1p

lv2wt6y1p=24 (Sqrt[3]) (Sqrt[q]) (-1+12 q-54 (q^2)+88 (q^3)+99 (q^4)-540 (q^5)+418 (q^6)+648 (q^7)-594 (q^8)-836 (q^9)-1056 (q^10)+4104 (q^11)+209 (q^12)-4104 (q^13)+594 (q^14)-4256 (q^15)+6480 (q^16)+4752 (q^17)+298 (q^18)-5016 (q^19)-17226 (q^20)+12100 (q^21)+5346 (q^22)+1296 (q^23)+9063 (q^24)+7128 (q^25)-19494 (q^26)-29160 (q^27)+10032 (q^28)+7668 (q^29)+34738 (q^30)-8712 (q^31)+22572 (q^32)-21812 (q^33)-49248 (q^34)+46872 (q^35)-67562 (q^36)-2508 (q^37)+47520 (q^38)+76912 (q^39)+25191 (q^40)-67716 (q^41)-32076 (q^42)-7128 (q^43)-29754 (q^44)-36784 (q^45)+51072 (q^46)-45144 (q^47)+122398 (q^48)+53460 (q^49));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((6)))=(lv2wt6y2e1,lv2wt6y2e2)

lv2wt6y2e1=1+264 q+7944 (q^2)+64416 (q^3)+253704 (q^4)+825264 (q^5)+1938336 (q^6)+4437312 (q^7)+8118024 (q^8)+15653352 (q^9)+24832944 (q^10)+42517728 (q^11)+61903776 (q^12)+98021616 (q^13)+133522752 (q^14)+201364416 (q^15)+259776264 (q^16)+374842512 (q^17)+471023592 (q^18)+653690400 (q^19)+793078704 (q^20)+1082704128 (q^21)+1279397088 (q^22)+1699194816 (q^23)+1980797856 (q^24)+2578950264 (q^25)+2949559536 (q^26)+3803764800 (q^27)+4264256832 (q^28)+5414943600 (q^29)+6059238336 (q^30)+7558096128 (q^31)+8312839944 (q^32)+10374325632 (q^33)+11279351952 (q^34)+13871037312 (q^35)+15042871272 (q^36)+18306804912 (q^37)+19670138400 (q^38)+23917274304 (q^39)+25376943024 (q^40)+30586037328 (q^41)+32579551488 (q^42)+38810229216 (q^43)+40859536608 (q^44)+48932378352 (q^45)+51130316736 (q^46)+60547082112 (q^47)+63385408416 (q^48)+74577903048 (q^49)+77602957944 (q^50);
lv2wt6y2e2=8 (Sqrt[3]) (Sqrt[q]) (1+244 q+3126 (q^2)+16808 (q^3)+59293 (q^4)+161052 (q^5)+371294 (q^6)+762744 (q^7)+1419858 (q^8)+2476100 (q^9)+4101152 (q^10)+6436344 (q^11)+9768751 (q^12)+14408200 (q^13)+20511150 (q^14)+28629152 (q^15)+39296688 (q^16)+52541808 (q^17)+69343958 (q^18)+90595736 (q^19)+115856202 (q^20)+147008444 (q^21)+185349918 (q^22)+229345008 (q^23)+282492057 (q^24)+346445352 (q^25)+418195494 (q^26)+503448552 (q^27)+604168400 (q^28)+714924300 (q^29)+844596302 (q^30)+996596744 (q^31)+1160665044 (q^32)+1350125108 (q^33)+1570467936 (q^34)+1804229352 (q^35)+2073071594 (q^36)+2383575244 (q^37)+2706962016 (q^38)+3077056400 (q^39)+3501192601 (q^40)+3939040644 (q^41)+4438476108 (q^42)+5004720600 (q^43)+5584059450 (q^44)+6240709552 (q^45)+6985513088 (q^46)+7740288600 (q^47)+8587340258 (q^48)+9549256236 (q^49));

weight 0

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((0)))=(lv2ph0y2e1,lv2ph0y2e2)

lv2ph0y2e1=-0.8825424006106065`-((93 (E^(-200 π y)))/(25 π (q^50)))-((342 (E^(-196 π y)))/(49 π (q^49)))-((E^(-192 π y))/(2 π (q^48)))-((288 (E^(-188 π y)))/(47 π (q^47)))-((72 (E^(-184 π y)))/(23 π (q^46)))-((52 (E^(-180 π y)))/(5 π (q^45)))-((18 (E^(-176 π y)))/(11 π (q^44)))-((264 (E^(-172 π y)))/(43 π (q^43)))-((32 (E^(-168 π y)))/(7 π (q^42)))-((252 (E^(-164 π y)))/(41 π (q^41)))-((9 (E^(-160 π y)))/(10 π (q^40)))-((112 (E^(-156 π y)))/(13 π (q^39)))-((60 (E^(-152 π y)))/(19 π (q^38)))-((228 (E^(-148 π y)))/(37 π (q^37)))-((13 (E^(-144 π y)))/(6 π (q^36)))-((288 (E^(-140 π y)))/(35 π (q^35)))-((54 (E^(-136 π y)))/(17 π (q^34)))-((96 (E^(-132 π y)))/(11 π (q^33)))-((3 (E^(-128 π y)))/(16 π (q^32)))-((192 (E^(-124 π y)))/(31 π (q^31)))-((24 (E^(-120 π y)))/(5 π (q^30)))-((180 (E^(-116 π y)))/(29 π (q^29)))-((12 (E^(-112 π y)))/(7 π (q^28)))-((80 (E^(-108 π y)))/(9 π (q^27)))-((42 (E^(-104 π y)))/(13 π (q^26)))-((186 (E^(-100 π y)))/(25 π (q^25)))-((E^(-96 π y))/(π (q^24)))-((144 (E^(-92 π y)))/(23 π (q^23)))-((36 (E^(-88 π y)))/(11 π (q^22)))-((64 (E^(-84 π y)))/(7 π (q^21)))-((9 (E^(-80 π y)))/(5 π (q^20)))-((120 (E^(-76 π y)))/(19 π (q^19)))-((13 (E^(-72 π y)))/(3 π (q^18)))-((108 (E^(-68 π y)))/(17 π (q^17)))-((3 (E^(-64 π y)))/(8 π (q^16)))-((48 (E^(-60 π y)))/(5 π (q^15)))-((24 (E^(-56 π y)))/(7 π (q^14)))-((84 (E^(-52 π y)))/(13 π (q^13)))-((2 (E^(-48 π y)))/(π (q^12)))-((72 (E^(-44 π y)))/(11 π (q^11)))-((18 (E^(-40 π y)))/(5 π (q^10)))-((26 (E^(-36 π y)))/(3 π (q^9)))-((3 (E^(-32 π y)))/(4 π (q^8)))-((48 (E^(-28 π y)))/(7 π (q^7)))-((4 (E^(-24 π y)))/(π (q^6)))-((36 (E^(-20 π y)))/(5 π (q^5)))-((3 (E^(-16 π y)))/(2 π (q^4)))-((8 (E^(-12 π y)))/(π (q^3)))-((3 (E^(-8 π y)))/(π (q^2)))-((6 (E^(-4 π y)))/(π q))-((6 q)/π)-((3 (q^2))/π)-((8 (q^3))/π)-((3 (q^4))/(2 π))-((36 (q^5))/(5 π))-((4 (q^6))/π)-((48 (q^7))/(7 π))-((3 (q^8))/(4 π))-((26 (q^9))/(3 π))-((18 (q^10))/(5 π))-((72 (q^11))/(11 π))-((2 (q^12))/π)-((84 (q^13))/(13 π))-((24 (q^14))/(7 π))-((48 (q^15))/(5 π))-((3 (q^16))/(8 π))-((108 (q^17))/(17 π))-((13 (q^18))/(3 π))-((120 (q^19))/(19 π))-((9 (q^20))/(5 π))-((64 (q^21))/(7 π))-((36 (q^22))/(11 π))-((144 (q^23))/(23 π))-((q^24)/π)-((186 (q^25))/(25 π))-((42 (q^26))/(13 π))-((80 (q^27))/(9 π))-((12 (q^28))/(7 π))-((180 (q^29))/(29 π))-((24 (q^30))/(5 π))-((192 (q^31))/(31 π))-((3 (q^32))/(16 π))-((96 (q^33))/(11 π))-((54 (q^34))/(17 π))-((288 (q^35))/(35 π))-((13 (q^36))/(6 π))-((228 (q^37))/(37 π))-((60 (q^38))/(19 π))-((112 (q^39))/(13 π))-((9 (q^40))/(10 π))-((252 (q^41))/(41 π))-((32 (q^42))/(7 π))-((264 (q^43))/(43 π))-((18 (q^44))/(11 π))-((52 (q^45))/(5 π))-((72 (q^46))/(23 π))-((288 (q^47))/(47 π))-((q^48)/(2 π))-((342 (q^49))/(49 π))-((93 (q^50))/(25 π))+y;
lv2ph0y2e2=-((208 (E^(-198 π y)))/(11 (Sqrt[3]) π (q^(99/2))))-((392 (Sqrt[3]) (E^(-194 π y)))/(97 π (q^(97/2))))-((96 (Sqrt[3]) (E^(-190 π y)))/(19 π (q^(95/2))))-((512 (E^(-186 π y)))/(31 (Sqrt[3]) π (q^(93/2))))-((64 (Sqrt[3]) (E^(-182 π y)))/(13 π (q^(91/2))))-((360 (Sqrt[3]) (E^(-178 π y)))/(89 π (q^(89/2))))-((160 (Sqrt[3]) (E^(-174 π y)))/(29 π (q^(87/2))))-((432 (Sqrt[3]) (E^(-170 π y)))/(85 π (q^(85/2))))-((336 (Sqrt[3]) (E^(-166 π y)))/(83 π (q^(83/2))))-((484 (E^(-162 π y)))/(27 (Sqrt[3]) π (q^(81/2))))-((320 (Sqrt[3]) (E^(-158 π y)))/(79 π (q^(79/2))))-((384 (Sqrt[3]) (E^(-154 π y)))/(77 π (q^(77/2))))-((496 (E^(-150 π y)))/(25 (Sqrt[3]) π (q^(75/2))))-((296 (Sqrt[3]) (E^(-146 π y)))/(73 π (q^(73/2))))-((288 (Sqrt[3]) (E^(-142 π y)))/(71 π (q^(71/2))))-((128 (Sqrt[3]) (E^(-138 π y)))/(23 π (q^(69/2))))-((272 (Sqrt[3]) (E^(-134 π y)))/(67 π (q^(67/2))))-((336 (Sqrt[3]) (E^(-130 π y)))/(65 π (q^(65/2))))-((416 (E^(-126 π y)))/(21 (Sqrt[3]) π (q^(63/2))))-((248 (Sqrt[3]) (E^(-122 π y)))/(61 π (q^(61/2))))-((240 (Sqrt[3]) (E^(-118 π y)))/(59 π (q^(59/2))))-((320 (E^(-114 π y)))/(19 (Sqrt[3]) π (q^(57/2))))-((288 (Sqrt[3]) (E^(-110 π y)))/(55 π (q^(55/2))))-((216 (Sqrt[3]) (E^(-106 π y)))/(53 π (q^(53/2))))-((96 (Sqrt[3]) (E^(-102 π y)))/(17 π (q^(51/2))))-((228 (Sqrt[3]) (E^(-98 π y)))/(49 π (q^(49/2))))-((192 (Sqrt[3]) (E^(-94 π y)))/(47 π (q^(47/2))))-((104 (E^(-90 π y)))/(5 (Sqrt[3]) π (q^(45/2))))-((176 (Sqrt[3]) (E^(-86 π y)))/(43 π (q^(43/2))))-((168 (Sqrt[3]) (E^(-82 π y)))/(41 π (q^(41/2))))-((224 (E^(-78 π y)))/(13 (Sqrt[3]) π (q^(39/2))))-((152 (Sqrt[3]) (E^(-74 π y)))/(37 π (q^(37/2))))-((192 (Sqrt[3]) (E^(-70 π y)))/(35 π (q^(35/2))))-((64 (Sqrt[3]) (E^(-66 π y)))/(11 π (q^(33/2))))-((128 (Sqrt[3]) (E^(-62 π y)))/(31 π (q^(31/2))))-((120 (Sqrt[3]) (E^(-58 π y)))/(29 π (q^(29/2))))-((160 (E^(-54 π y)))/(9 (Sqrt[3]) π (q^(27/2))))-((124 (Sqrt[3]) (E^(-50 π y)))/(25 π (q^(25/2))))-((96 (Sqrt[3]) (E^(-46 π y)))/(23 π (q^(23/2))))-((128 (E^(-42 π y)))/(7 (Sqrt[3]) π (q^(21/2))))-((80 (Sqrt[3]) (E^(-38 π y)))/(19 π (q^(19/2))))-((72 (Sqrt[3]) (E^(-34 π y)))/(17 π (q^(17/2))))-((32 (Sqrt[3]) (E^(-30 π y)))/(5 π (q^(15/2))))-((56 (Sqrt[3]) (E^(-26 π y)))/(13 π (q^(13/2))))-((48 (Sqrt[3]) (E^(-22 π y)))/(11 π (q^(11/2))))-((52 (E^(-18 π y)))/(3 (Sqrt[3]) π (q^(9/2))))-((32 (Sqrt[3]) (E^(-14 π y)))/(7 π (q^(7/2))))-((24 (Sqrt[3]) (E^(-10 π y)))/(5 π (q^(5/2))))-((16 (E^(-6 π y)))/((Sqrt[3]) π (q^(3/2))))-((4 (Sqrt[3]) (E^(-2 π y)))/(π (Sqrt[q])))-((4 (Sqrt[3]) (Sqrt[q]))/π)-((16 (q^(3/2)))/((Sqrt[3]) π))-((24 (Sqrt[3]) (q^(5/2)))/(5 π))-((32 (Sqrt[3]) (q^(7/2)))/(7 π))-((52 (q^(9/2)))/(3 (Sqrt[3]) π))-((48 (Sqrt[3]) (q^(11/2)))/(11 π))-((56 (Sqrt[3]) (q^(13/2)))/(13 π))-((32 (Sqrt[3]) (q^(15/2)))/(5 π))-((72 (Sqrt[3]) (q^(17/2)))/(17 π))-((80 (Sqrt[3]) (q^(19/2)))/(19 π))-((128 (q^(21/2)))/(7 (Sqrt[3]) π))-((96 (Sqrt[3]) (q^(23/2)))/(23 π))-((124 (Sqrt[3]) (q^(25/2)))/(25 π))-((160 (q^(27/2)))/(9 (Sqrt[3]) π))-((120 (Sqrt[3]) (q^(29/2)))/(29 π))-((128 (Sqrt[3]) (q^(31/2)))/(31 π))-((64 (Sqrt[3]) (q^(33/2)))/(11 π))-((192 (Sqrt[3]) (q^(35/2)))/(35 π))-((152 (Sqrt[3]) (q^(37/2)))/(37 π))-((224 (q^(39/2)))/(13 (Sqrt[3]) π))-((168 (Sqrt[3]) (q^(41/2)))/(41 π))-((176 (Sqrt[3]) (q^(43/2)))/(43 π))-((104 (q^(45/2)))/(5 (Sqrt[3]) π))-((192 (Sqrt[3]) (q^(47/2)))/(47 π))-((228 (Sqrt[3]) (q^(49/2)))/(49 π))-((96 (Sqrt[3]) (q^(51/2)))/(17 π))-((216 (Sqrt[3]) (q^(53/2)))/(53 π))-((288 (Sqrt[3]) (q^(55/2)))/(55 π))-((320 (q^(57/2)))/(19 (Sqrt[3]) π))-((240 (Sqrt[3]) (q^(59/2)))/(59 π))-((248 (Sqrt[3]) (q^(61/2)))/(61 π))-((416 (q^(63/2)))/(21 (Sqrt[3]) π))-((336 (Sqrt[3]) (q^(65/2)))/(65 π))-((272 (Sqrt[3]) (q^(67/2)))/(67 π))-((128 (Sqrt[3]) (q^(69/2)))/(23 π))-((288 (Sqrt[3]) (q^(71/2)))/(71 π))-((296 (Sqrt[3]) (q^(73/2)))/(73 π))-((496 (q^(75/2)))/(25 (Sqrt[3]) π))-((384 (Sqrt[3]) (q^(77/2)))/(77 π))-((320 (Sqrt[3]) (q^(79/2)))/(79 π))-((484 (q^(81/2)))/(27 (Sqrt[3]) π))-((336 (Sqrt[3]) (q^(83/2)))/(83 π))-((432 (Sqrt[3]) (q^(85/2)))/(85 π))-((160 (Sqrt[3]) (q^(87/2)))/(29 π))-((360 (Sqrt[3]) (q^(89/2)))/(89 π))-((64 (Sqrt[3]) (q^(91/2)))/(13 π))-((512 (q^(93/2)))/(31 (Sqrt[3]) π))-((96 (Sqrt[3]) (q^(95/2)))/(19 π))-((392 (Sqrt[3]) (q^(97/2)))/(97 π))-((208 (q^(99/2)))/(11 (Sqrt[3]) π));

weight -2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-2)))=lv2ph2y1

lv2ph2y1=-((15 q)/(2 (π^3)))-((135 (q^2))/(16 (π^3)))-((70 (q^3))/(9 (π^3)))-((1095 (q^4))/(128 (π^3)))-((189 (q^5))/(25 (π^3)))-((35 (q^6))/(4 (π^3)))-((2580 (q^7))/(343 (π^3)))-((8775 (q^8))/(1024 (π^3)))-((3785 (q^9))/(486 (π^3)))-((1701 (q^10))/(200 (π^3)))-((9990 (q^11))/(1331 (π^3)))-((2555 (q^12))/(288 (π^3)))-((16485 (q^13))/(2197 (π^3)))-((5805 (q^14))/(686 (π^3)))-((196 (q^15))/(25 (π^3)))-((70215 (q^16))/(8192 (π^3)))-((36855 (q^17))/(4913 (π^3)))-((3785 (q^18))/(432 (π^3)))-((51450 (q^19))/(6859 (π^3)))-((13797 (q^20))/(1600 (π^3)))-((3440 (q^21))/(441 (π^3)))-((44955 (q^22))/(5324 (π^3)))-((91260 (q^23))/(12167 (π^3)))-((2275 (q^24))/(256 (π^3)))-((47253 (q^25))/(6250 (π^3)))-((148365 (q^26))/(17576 (π^3)))-((51100 (q^27))/(6561 (π^3)))-((47085 (q^28))/(5488 (π^3)))-((182925 (q^29))/(24389 (π^3)))-((441 (q^30))/(50 (π^3)))-((223440 (q^31))/(29791 (π^3)))-((561735 (q^32))/(65536 (π^3)))-((10360 (q^33))/(1331 (π^3)))-((331695 (q^34))/(39304 (π^3)))-((9288 (q^35))/(1225 (π^3)))-((276305 (q^36))/(31104 (π^3)))-((379905 (q^37))/(50653 (π^3)))-((231525 (q^38))/(27436 (π^3)))-((153860 (q^39))/(19773 (π^3)))-((22113 (q^40))/(2560 (π^3)))-((516915 (q^41))/(68921 (π^3)))-((430 (q^42))/(49 (π^3)))-((596310 (q^43))/(79507 (π^3)))-((364635 (q^44))/(42592 (π^3)))-((5299 (q^45))/(675 (π^3)))-((205335 (q^46))/(24334 (π^3)))-((778680 (q^47))/(103823 (π^3)))-((163835 (q^48))/(18432 (π^3)))-((1769895 (q^49))/(235298 (π^3)))-((425277 (q^50))/(50000 (π^3)))+((y^3)/3)-((15 Gamma[3,4 π y])/(4 (π^3) q))-((135 Gamma[3,8 π y])/(32 (π^3) (q^2)))-((35 Gamma[3,12 π y])/(9 (π^3) (q^3)))-((1095 Gamma[3,16 π y])/(256 (π^3) (q^4)))-((189 Gamma[3,20 π y])/(50 (π^3) (q^5)))-((35 Gamma[3,24 π y])/(8 (π^3) (q^6)))-((1290 Gamma[3,28 π y])/(343 (π^3) (q^7)))-((8775 Gamma[3,32 π y])/(2048 (π^3) (q^8)))-((3785 Gamma[3,36 π y])/(972 (π^3) (q^9)))-((1701 Gamma[3,40 π y])/(400 (π^3) (q^10)))-((4995 Gamma[3,44 π y])/(1331 (π^3) (q^11)))-((2555 Gamma[3,48 π y])/(576 (π^3) (q^12)))-((16485 Gamma[3,52 π y])/(4394 (π^3) (q^13)))-((5805 Gamma[3,56 π y])/(1372 (π^3) (q^14)))-((98 Gamma[3,60 π y])/(25 (π^3) (q^15)))-((70215 Gamma[3,64 π y])/(16384 (π^3) (q^16)))-((36855 Gamma[3,68 π y])/(9826 (π^3) (q^17)))-((3785 Gamma[3,72 π y])/(864 (π^3) (q^18)))-((25725 Gamma[3,76 π y])/(6859 (π^3) (q^19)))-((13797 Gamma[3,80 π y])/(3200 (π^3) (q^20)))-((1720 Gamma[3,84 π y])/(441 (π^3) (q^21)))-((44955 Gamma[3,88 π y])/(10648 (π^3) (q^22)))-((45630 Gamma[3,92 π y])/(12167 (π^3) (q^23)))-((2275 Gamma[3,96 π y])/(512 (π^3) (q^24)))-((47253 Gamma[3,100 π y])/(12500 (π^3) (q^25)))-((148365 Gamma[3,104 π y])/(35152 (π^3) (q^26)))-((25550 Gamma[3,108 π y])/(6561 (π^3) (q^27)))-((47085 Gamma[3,112 π y])/(10976 (π^3) (q^28)))-((182925 Gamma[3,116 π y])/(48778 (π^3) (q^29)))-((441 Gamma[3,120 π y])/(100 (π^3) (q^30)))-((111720 Gamma[3,124 π y])/(29791 (π^3) (q^31)))-((561735 Gamma[3,128 π y])/(131072 (π^3) (q^32)))-((5180 Gamma[3,132 π y])/(1331 (π^3) (q^33)))-((331695 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((4644 Gamma[3,140 π y])/(1225 (π^3) (q^35)))-((276305 Gamma[3,144 π y])/(62208 (π^3) (q^36)))-((379905 Gamma[3,148 π y])/(101306 (π^3) (q^37)))-((231525 Gamma[3,152 π y])/(54872 (π^3) (q^38)))-((76930 Gamma[3,156 π y])/(19773 (π^3) (q^39)))-((22113 Gamma[3,160 π y])/(5120 (π^3) (q^40)))-((516915 Gamma[3,164 π y])/(137842 (π^3) (q^41)))-((215 Gamma[3,168 π y])/(49 (π^3) (q^42)))-((298155 Gamma[3,172 π y])/(79507 (π^3) (q^43)))-((364635 Gamma[3,176 π y])/(85184 (π^3) (q^44)))-((5299 Gamma[3,180 π y])/(1350 (π^3) (q^45)))-((205335 Gamma[3,184 π y])/(48668 (π^3) (q^46)))-((389340 Gamma[3,188 π y])/(103823 (π^3) (q^47)))-((163835 Gamma[3,192 π y])/(36864 (π^3) (q^48)))-((1769895 Gamma[3,196 π y])/(470596 (π^3) (q^49)))-((425277 Gamma[3,200 π y])/(100000 (π^3) (q^50)))-((15 Zeta[3])/(2 (π^3)));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((-2)))=(lv2ph2y2e1,lv2ph2y2e2)

lv2ph2y2e1=((9 q)/(2 (π^3)))+((57 (q^2))/(16 (π^3)))+((14 (q^3))/(3 (π^3)))+((441 (q^4))/(128 (π^3)))+((567 (q^5))/(125 (π^3)))+((133 (q^6))/(36 (π^3)))+((1548 (q^7))/(343 (π^3)))+((3513 (q^8))/(1024 (π^3)))+((757 (q^9))/(162 (π^3)))+((3591 (q^10))/(1000 (π^3)))+((5994 (q^11))/(1331 (π^3)))+((343 (q^12))/(96 (π^3)))+((9891 (q^13))/(2197 (π^3)))+((2451 (q^14))/(686 (π^3)))+((588 (q^15))/(125 (π^3)))+((28089 (q^16))/(8192 (π^3)))+((22113 (q^17))/(4913 (π^3)))+((14383 (q^18))/(3888 (π^3)))+((30870 (q^19))/(6859 (π^3)))+((27783 (q^20))/(8000 (π^3)))+((688 (q^21))/(147 (π^3)))+((18981 (q^22))/(5324 (π^3)))+((54756 (q^23))/(12167 (π^3)))+((8197 (q^24))/(2304 (π^3)))+((141759 (q^25))/(31250 (π^3)))+((62643 (q^26))/(17576 (π^3)))+((10220 (q^27))/(2187 (π^3)))+((387 (q^28))/(112 (π^3)))+((109755 (q^29))/(24389 (π^3)))+((931 (q^30))/(250 (π^3)))+((134064 (q^31))/(29791 (π^3)))+((224697 (q^32))/(65536 (π^3)))+((6216 (q^33))/(1331 (π^3)))+((140049 (q^34))/(39304 (π^3)))+((27864 (q^35))/(6125 (π^3)))+((37093 (q^36))/(10368 (π^3)))+((227943 (q^37))/(50653 (π^3)))+((5145 (q^38))/(1444 (π^3)))+((30772 (q^39))/(6591 (π^3)))+((221319 (q^40))/(64000 (π^3)))+((310149 (q^41))/(68921 (π^3)))+((1634 (q^42))/(441 (π^3)))+((357786 (q^43))/(79507 (π^3)))+((146853 (q^44))/(42592 (π^3)))+((5299 (q^45))/(1125 (π^3)))+((86697 (q^46))/(24334 (π^3)))+((467208 (q^47))/(103823 (π^3)))+((21847 (q^48))/(6144 (π^3)))+((1061937 (q^49))/(235298 (π^3)))+((897807 (q^50))/(250000 (π^3)))+((y^3)/3)+((9 Gamma[3,4 π y])/(4 (π^3) q))+((57 Gamma[3,8 π y])/(32 (π^3) (q^2)))+((7 Gamma[3,12 π y])/(3 (π^3) (q^3)))+((441 Gamma[3,16 π y])/(256 (π^3) (q^4)))+((567 Gamma[3,20 π y])/(250 (π^3) (q^5)))+((133 Gamma[3,24 π y])/(72 (π^3) (q^6)))+((774 Gamma[3,28 π y])/(343 (π^3) (q^7)))+((3513 Gamma[3,32 π y])/(2048 (π^3) (q^8)))+((757 Gamma[3,36 π y])/(324 (π^3) (q^9)))+((3591 Gamma[3,40 π y])/(2000 (π^3) (q^10)))+((2997 Gamma[3,44 π y])/(1331 (π^3) (q^11)))+((343 Gamma[3,48 π y])/(192 (π^3) (q^12)))+((9891 Gamma[3,52 π y])/(4394 (π^3) (q^13)))+((2451 Gamma[3,56 π y])/(1372 (π^3) (q^14)))+((294 Gamma[3,60 π y])/(125 (π^3) (q^15)))+((28089 Gamma[3,64 π y])/(16384 (π^3) (q^16)))+((22113 Gamma[3,68 π y])/(9826 (π^3) (q^17)))+((14383 Gamma[3,72 π y])/(7776 (π^3) (q^18)))+((15435 Gamma[3,76 π y])/(6859 (π^3) (q^19)))+((27783 Gamma[3,80 π y])/(16000 (π^3) (q^20)))+((344 Gamma[3,84 π y])/(147 (π^3) (q^21)))+((18981 Gamma[3,88 π y])/(10648 (π^3) (q^22)))+((27378 Gamma[3,92 π y])/(12167 (π^3) (q^23)))+((8197 Gamma[3,96 π y])/(4608 (π^3) (q^24)))+((141759 Gamma[3,100 π y])/(62500 (π^3) (q^25)))+((62643 Gamma[3,104 π y])/(35152 (π^3) (q^26)))+((5110 Gamma[3,108 π y])/(2187 (π^3) (q^27)))+((387 Gamma[3,112 π y])/(224 (π^3) (q^28)))+((109755 Gamma[3,116 π y])/(48778 (π^3) (q^29)))+((931 Gamma[3,120 π y])/(500 (π^3) (q^30)))+((67032 Gamma[3,124 π y])/(29791 (π^3) (q^31)))+((224697 Gamma[3,128 π y])/(131072 (π^3) (q^32)))+((3108 Gamma[3,132 π y])/(1331 (π^3) (q^33)))+((140049 Gamma[3,136 π y])/(78608 (π^3) (q^34)))+((13932 Gamma[3,140 π y])/(6125 (π^3) (q^35)))+((37093 Gamma[3,144 π y])/(20736 (π^3) (q^36)))+((227943 Gamma[3,148 π y])/(101306 (π^3) (q^37)))+((5145 Gamma[3,152 π y])/(2888 (π^3) (q^38)))+((15386 Gamma[3,156 π y])/(6591 (π^3) (q^39)))+((221319 Gamma[3,160 π y])/(128000 (π^3) (q^40)))+((310149 Gamma[3,164 π y])/(137842 (π^3) (q^41)))+((817 Gamma[3,168 π y])/(441 (π^3) (q^42)))+((178893 Gamma[3,172 π y])/(79507 (π^3) (q^43)))+((146853 Gamma[3,176 π y])/(85184 (π^3) (q^44)))+((5299 Gamma[3,180 π y])/(2250 (π^3) (q^45)))+((86697 Gamma[3,184 π y])/(48668 (π^3) (q^46)))+((233604 Gamma[3,188 π y])/(103823 (π^3) (q^47)))+((21847 Gamma[3,192 π y])/(12288 (π^3) (q^48)))+((1061937 Gamma[3,196 π y])/(470596 (π^3) (q^49)))+((897807 Gamma[3,200 π y])/(500000 (π^3) (q^50)))+((3 Zeta[3])/(π^3));
lv2ph2y2e2=((4 (Sqrt[3]) (Sqrt[q]))/(π^3))+((112 (q^(3/2)))/(9 (Sqrt[3]) (π^3)))+((504 (Sqrt[3]) (q^(5/2)))/(125 (π^3)))+((1376 (Sqrt[3]) (q^(7/2)))/(343 (π^3)))+((3028 (q^(9/2)))/(243 (Sqrt[3]) (π^3)))+((5328 (Sqrt[3]) (q^(11/2)))/(1331 (π^3)))+((8792 (Sqrt[3]) (q^(13/2)))/(2197 (π^3)))+((1568 (q^(15/2)))/(125 (Sqrt[3]) (π^3)))+((19656 (Sqrt[3]) (q^(17/2)))/(4913 (π^3)))+((27440 (Sqrt[3]) (q^(19/2)))/(6859 (π^3)))+((5504 (q^(21/2)))/(441 (Sqrt[3]) (π^3)))+((48672 (Sqrt[3]) (q^(23/2)))/(12167 (π^3)))+((63004 (Sqrt[3]) (q^(25/2)))/(15625 (π^3)))+((81760 (q^(27/2)))/(6561 (Sqrt[3]) (π^3)))+((97560 (Sqrt[3]) (q^(29/2)))/(24389 (π^3)))+((119168 (Sqrt[3]) (q^(31/2)))/(29791 (π^3)))+((16576 (q^(33/2)))/(1331 (Sqrt[3]) (π^3)))+((24768 (Sqrt[3]) (q^(35/2)))/(6125 (π^3)))+((202616 (Sqrt[3]) (q^(37/2)))/(50653 (π^3)))+((246176 (q^(39/2)))/(19773 (Sqrt[3]) (π^3)))+((275688 (Sqrt[3]) (q^(41/2)))/(68921 (π^3)))+((318032 (Sqrt[3]) (q^(43/2)))/(79507 (π^3)))+((42392 (q^(45/2)))/(3375 (Sqrt[3]) (π^3)))+((415296 (Sqrt[3]) (q^(47/2)))/(103823 (π^3)))+((471972 (Sqrt[3]) (q^(49/2)))/(117649 (π^3)))+((20384 (Sqrt[3]) (q^(51/2)))/(4913 (π^3)))+((595512 (Sqrt[3]) (q^(53/2)))/(148877 (π^3)))+((671328 (Sqrt[3]) (q^(55/2)))/(166375 (π^3)))+((768320 (q^(57/2)))/(61731 (Sqrt[3]) (π^3)))+((821520 (Sqrt[3]) (q^(59/2)))/(205379 (π^3)))+((907928 (Sqrt[3]) (q^(61/2)))/(226981 (π^3)))+((1041632 (q^(63/2)))/(83349 (Sqrt[3]) (π^3)))+((1107792 (Sqrt[3]) (q^(65/2)))/(274625 (π^3)))+((1203056 (Sqrt[3]) (q^(67/2)))/(300763 (π^3)))+((151424 (q^(69/2)))/(12167 (Sqrt[3]) (π^3)))+((1431648 (Sqrt[3]) (q^(71/2)))/(357911 (π^3)))+((1556072 (Sqrt[3]) (q^(73/2)))/(389017 (π^3)))+((1764112 (q^(75/2)))/(140625 (Sqrt[3]) (π^3)))+((1832832 (Sqrt[3]) (q^(77/2)))/(456533 (π^3)))+((1972160 (Sqrt[3]) (q^(79/2)))/(493039 (π^3)))+((2207524 (q^(81/2)))/(177147 (Sqrt[3]) (π^3)))+((2287152 (Sqrt[3]) (q^(83/2)))/(571787 (π^3)))+((2476656 (Sqrt[3]) (q^(85/2)))/(614125 (π^3)))+((303520 (q^(87/2)))/(24389 (Sqrt[3]) (π^3)))+((2819880 (Sqrt[3]) (q^(89/2)))/(704969 (π^3)))+((432064 (Sqrt[3]) (q^(91/2)))/(107653 (π^3)))+((3336704 (q^(93/2)))/(268119 (Sqrt[3]) (π^3)))+((691488 (Sqrt[3]) (q^(95/2)))/(171475 (π^3)))+((3650696 (Sqrt[3]) (q^(97/2)))/(912673 (π^3)))+((448144 (q^(99/2)))/(35937 (Sqrt[3]) (π^3)))+((2 (Sqrt[3]) Gamma[3,2 π y])/((π^3) (Sqrt[q])))+((56 Gamma[3,6 π y])/(9 (Sqrt[3]) (π^3) (q^(3/2))))+((252 (Sqrt[3]) Gamma[3,10 π y])/(125 (π^3) (q^(5/2))))+((688 (Sqrt[3]) Gamma[3,14 π y])/(343 (π^3) (q^(7/2))))+((1514 Gamma[3,18 π y])/(243 (Sqrt[3]) (π^3) (q^(9/2))))+((2664 (Sqrt[3]) Gamma[3,22 π y])/(1331 (π^3) (q^(11/2))))+((4396 (Sqrt[3]) Gamma[3,26 π y])/(2197 (π^3) (q^(13/2))))+((784 Gamma[3,30 π y])/(125 (Sqrt[3]) (π^3) (q^(15/2))))+((9828 (Sqrt[3]) Gamma[3,34 π y])/(4913 (π^3) (q^(17/2))))+((13720 (Sqrt[3]) Gamma[3,38 π y])/(6859 (π^3) (q^(19/2))))+((2752 Gamma[3,42 π y])/(441 (Sqrt[3]) (π^3) (q^(21/2))))+((24336 (Sqrt[3]) Gamma[3,46 π y])/(12167 (π^3) (q^(23/2))))+((31502 (Sqrt[3]) Gamma[3,50 π y])/(15625 (π^3) (q^(25/2))))+((40880 Gamma[3,54 π y])/(6561 (Sqrt[3]) (π^3) (q^(27/2))))+((48780 (Sqrt[3]) Gamma[3,58 π y])/(24389 (π^3) (q^(29/2))))+((59584 (Sqrt[3]) Gamma[3,62 π y])/(29791 (π^3) (q^(31/2))))+((8288 Gamma[3,66 π y])/(1331 (Sqrt[3]) (π^3) (q^(33/2))))+((12384 (Sqrt[3]) Gamma[3,70 π y])/(6125 (π^3) (q^(35/2))))+((101308 (Sqrt[3]) Gamma[3,74 π y])/(50653 (π^3) (q^(37/2))))+((123088 Gamma[3,78 π y])/(19773 (Sqrt[3]) (π^3) (q^(39/2))))+((137844 (Sqrt[3]) Gamma[3,82 π y])/(68921 (π^3) (q^(41/2))))+((159016 (Sqrt[3]) Gamma[3,86 π y])/(79507 (π^3) (q^(43/2))))+((21196 Gamma[3,90 π y])/(3375 (Sqrt[3]) (π^3) (q^(45/2))))+((207648 (Sqrt[3]) Gamma[3,94 π y])/(103823 (π^3) (q^(47/2))))+((235986 (Sqrt[3]) Gamma[3,98 π y])/(117649 (π^3) (q^(49/2))))+((10192 (Sqrt[3]) Gamma[3,102 π y])/(4913 (π^3) (q^(51/2))))+((297756 (Sqrt[3]) Gamma[3,106 π y])/(148877 (π^3) (q^(53/2))))+((335664 (Sqrt[3]) Gamma[3,110 π y])/(166375 (π^3) (q^(55/2))))+((384160 Gamma[3,114 π y])/(61731 (Sqrt[3]) (π^3) (q^(57/2))))+((410760 (Sqrt[3]) Gamma[3,118 π y])/(205379 (π^3) (q^(59/2))))+((453964 (Sqrt[3]) Gamma[3,122 π y])/(226981 (π^3) (q^(61/2))))+((520816 Gamma[3,126 π y])/(83349 (Sqrt[3]) (π^3) (q^(63/2))))+((553896 (Sqrt[3]) Gamma[3,130 π y])/(274625 (π^3) (q^(65/2))))+((601528 (Sqrt[3]) Gamma[3,134 π y])/(300763 (π^3) (q^(67/2))))+((75712 Gamma[3,138 π y])/(12167 (Sqrt[3]) (π^3) (q^(69/2))))+((715824 (Sqrt[3]) Gamma[3,142 π y])/(357911 (π^3) (q^(71/2))))+((778036 (Sqrt[3]) Gamma[3,146 π y])/(389017 (π^3) (q^(73/2))))+((882056 Gamma[3,150 π y])/(140625 (Sqrt[3]) (π^3) (q^(75/2))))+((916416 (Sqrt[3]) Gamma[3,154 π y])/(456533 (π^3) (q^(77/2))))+((986080 (Sqrt[3]) Gamma[3,158 π y])/(493039 (π^3) (q^(79/2))))+((1103762 Gamma[3,162 π y])/(177147 (Sqrt[3]) (π^3) (q^(81/2))))+((1143576 (Sqrt[3]) Gamma[3,166 π y])/(571787 (π^3) (q^(83/2))))+((1238328 (Sqrt[3]) Gamma[3,170 π y])/(614125 (π^3) (q^(85/2))))+((151760 Gamma[3,174 π y])/(24389 (Sqrt[3]) (π^3) (q^(87/2))))+((1409940 (Sqrt[3]) Gamma[3,178 π y])/(704969 (π^3) (q^(89/2))))+((216032 (Sqrt[3]) Gamma[3,182 π y])/(107653 (π^3) (q^(91/2))))+((1668352 Gamma[3,186 π y])/(268119 (Sqrt[3]) (π^3) (q^(93/2))))+((345744 (Sqrt[3]) Gamma[3,190 π y])/(171475 (π^3) (q^(95/2))))+((1825348 (Sqrt[3]) Gamma[3,194 π y])/(912673 (π^3) (q^(97/2))))+((224072 Gamma[3,198 π y])/(35937 (Sqrt[3]) (π^3) (q^(99/2))));

weight -4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-4)))=lv2ph4y1

lv2ph4y1=((189 q)/(16 (π^5)))+((6237 (q^2))/(512 (π^5)))+((427 (q^3))/(36 (π^5)))+((199773 (q^4))/(16384 (π^5)))+((295407 (q^5))/(25000 (π^5)))+((4697 (q^6))/(384 (π^5)))+((56727 (q^7))/(4802 (π^5)))+((6392925 (q^8))/(524288 (π^5)))+((415051 (q^9))/(34992 (π^5)))+((9748431 (q^10))/(800000 (π^5)))+((7609707 (q^11))/(644204 (π^5)))+((451339 (q^12))/(36864 (π^5)))+((35087283 (q^13))/(2970344 (π^5)))+((1871991 (q^14))/(153664 (π^5)))+((222467 (q^15))/(18750 (π^5)))+((204573789 (q^16))/(16777216 (π^5)))+((134176581 (q^17))/(11358856 (π^5)))+((4565561 (q^18))/(373248 (π^5)))+((116995725 (q^19))/(9904396 (π^5)))+((312245199 (q^20))/(25600000 (π^5)))+((256322 (q^21))/(21609 (π^5)))+((22829121 (q^22))/(1874048 (π^5)))+((152058627 (q^23))/(12872686 (π^5)))+((4814425 (q^24))/(393216 (π^5)))+((1846293939 (q^25))/(156250000 (π^5)))+((1157880339 (q^26))/(95051008 (π^5)))+((12607175 (q^27))/(1062882 (π^5)))+((8565777 (q^28))/(702464 (π^5)))+((1938303675 (q^29))/(164089192 (π^5)))+((2447137 (q^30))/(200000 (π^5)))+((338181858 (q^31))/(28629151 (π^5)))+((6546361437 (q^32))/(536870912 (π^5)))+((5730767 (q^33))/(483153 (π^5)))+((4427827173 (q^34))/(363483392 (π^5)))+((88664301 (q^35))/(7503125 (π^5)))+((438708907 (q^36))/(35831808 (π^5)))+((6553004031 (q^37))/(554751656 (π^5)))+((3860858925 (q^38))/(316940672 (π^5)))+((79271269 (q^39))/(6683274 (π^5)))+((399685671 (q^40))/(32768000 (π^5)))+((10948411089 (q^41))/(926849608 (π^5)))+((1409771 (q^42))/(115248 (π^5)))+((6946148979 (q^43))/(588033772 (π^5)))+((8043460299 (q^44))/(659664896 (π^5)))+((216241571 (q^45))/(18225000 (π^5)))+((5017934691 (q^46))/(411925952 (π^5)))+((2709137907 (q^47))/(229345007 (π^5)))+((462185227 (q^48))/(37748736 (π^5)))+((7627285539 (q^49))/(645657712 (π^5)))+((60927699987 (q^50))/(5000000000 (π^5)))+((y^5)/5)+((63 Gamma[5,4 π y])/(128 (π^5) q))+((2079 Gamma[5,8 π y])/(4096 (π^5) (q^2)))+((427 Gamma[5,12 π y])/(864 (π^5) (q^3)))+((66591 Gamma[5,16 π y])/(131072 (π^5) (q^4)))+((98469 Gamma[5,20 π y])/(200000 (π^5) (q^5)))+((4697 Gamma[5,24 π y])/(9216 (π^5) (q^6)))+((18909 Gamma[5,28 π y])/(38416 (π^5) (q^7)))+((2130975 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))+((415051 Gamma[5,36 π y])/(839808 (π^5) (q^9)))+((3249477 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))+((2536569 Gamma[5,44 π y])/(5153632 (π^5) (q^11)))+((451339 Gamma[5,48 π y])/(884736 (π^5) (q^12)))+((11695761 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))+((623997 Gamma[5,56 π y])/(1229312 (π^5) (q^14)))+((222467 Gamma[5,60 π y])/(450000 (π^5) (q^15)))+((68191263 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))+((44725527 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))+((4565561 Gamma[5,72 π y])/(8957952 (π^5) (q^18)))+((38998575 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))+((104081733 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))+((128161 Gamma[5,84 π y])/(259308 (π^5) (q^21)))+((7609707 Gamma[5,88 π y])/(14992384 (π^5) (q^22)))+((50686209 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))+((4814425 Gamma[5,96 π y])/(9437184 (π^5) (q^24)))+((615431313 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))+((385960113 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))+((12607175 Gamma[5,108 π y])/(25509168 (π^5) (q^27)))+((2855259 Gamma[5,112 π y])/(5619712 (π^5) (q^28)))+((646101225 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))+((2447137 Gamma[5,120 π y])/(4800000 (π^5) (q^30)))+((56363643 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))+((2182120479 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))+((5730767 Gamma[5,132 π y])/(11595672 (π^5) (q^33)))+((1475942391 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))+((29554767 Gamma[5,140 π y])/(60025000 (π^5) (q^35)))+((438708907 Gamma[5,144 π y])/(859963392 (π^5) (q^36)))+((2184334677 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))+((1286952975 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))+((79271269 Gamma[5,156 π y])/(160398576 (π^5) (q^39)))+((133228557 Gamma[5,160 π y])/(262144000 (π^5) (q^40)))+((3649470363 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))+((1409771 Gamma[5,168 π y])/(2765952 (π^5) (q^42)))+((2315382993 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))+((2681153433 Gamma[5,176 π y])/(5277319168 (π^5) (q^44)))+((216241571 Gamma[5,180 π y])/(437400000 (π^5) (q^45)))+((1672644897 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))+((903045969 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))+((462185227 Gamma[5,192 π y])/(905969664 (π^5) (q^48)))+((2542428513 Gamma[5,196 π y])/(5165261696 (π^5) (q^49)))+((20309233329 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))+((189 Zeta[5])/(16 (π^5)));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((-4)))=(lv2ph4y2e1,lv2ph4y2e2)

lv2ph4y2e1=-((99 q)/(16 (π^5)))-((2979 (q^2))/(512 (π^5)))-((671 (q^3))/(108 (π^5)))-((95139 (q^4))/(16384 (π^5)))-((154737 (q^5))/(25000 (π^5)))-((20191 (q^6))/(3456 (π^5)))-((207999 (q^7))/(33614 (π^5)))-((3044259 (q^8))/(524288 (π^5)))-((652223 (q^9))/(104976 (π^5)))-((4656177 (q^10))/(800000 (π^5)))-((362367 (q^11))/(58564 (π^5)))-((644831 (q^12))/(110592 (π^5)))-((18379053 (q^13))/(2970344 (π^5)))-((6258879 (q^14))/(1075648 (π^5)))-((349591 (q^15))/(56250 (π^5)))-((97416099 (q^16))/(16777216 (π^5)))-((70282971 (q^17))/(11358856 (π^5)))-((19625983 (q^18))/(3359232 (π^5)))-((61283475 (q^19))/(9904396 (π^5)))-((148702257 (q^20))/(25600000 (π^5)))-((2819542 (q^21))/(453789 (π^5)))-((119943477 (q^22))/(20614528 (π^5)))-((79649757 (q^23))/(12872686 (π^5)))-((20633311 (q^24))/(3538944 (π^5)))-((967106349 (q^25))/(156250000 (π^5)))-((553042413 (q^26))/(95051008 (π^5)))-((19811275 (q^27))/(3188646 (π^5)))-((199887039 (q^28))/(34420736 (π^5)))-((1015301925 (q^29))/(164089192 (π^5)))-((10519511 (q^30))/(1800000 (π^5)))-((177142878 (q^31))/(28629151 (π^5)))-((3117314979 (q^32))/(536870912 (π^5)))-((818681 (q^33))/(131769 (π^5)))-((2114878491 (q^34))/(363483392 (π^5)))-((325102437 (q^35))/(52521875 (π^5)))-((626786303 (q^36))/(107495424 (π^5)))-((3432525921 (q^37))/(554751656 (π^5)))-((1844075475 (q^38))/(316940672 (π^5)))-((124569137 (q^39))/(20049822 (π^5)))-((4758176817 (q^40))/(819200000 (π^5)))-((5734881999 (q^41))/(926849608 (π^5)))-((42421291 (q^42))/(7260624 (π^5)))-((3638458989 (q^43))/(588033772 (π^5)))-((348234687 (q^44))/(59969536 (π^5)))-((339808183 (q^45))/(54675000 (π^5)))-((2396733597 (q^46))/(411925952 (π^5)))-((1419072237 (q^47))/(229345007 (π^5)))-((660264671 (q^48))/(113246208 (π^5)))-((27966713643 (q^49))/(4519603984 (π^5)))-((29101109229 (q^50))/(5000000000 (π^5)))+((y^5)/5)-((33 Gamma[5,4 π y])/(128 (π^5) q))-((993 Gamma[5,8 π y])/(4096 (π^5) (q^2)))-((671 Gamma[5,12 π y])/(2592 (π^5) (q^3)))-((31713 Gamma[5,16 π y])/(131072 (π^5) (q^4)))-((51579 Gamma[5,20 π y])/(200000 (π^5) (q^5)))-((20191 Gamma[5,24 π y])/(82944 (π^5) (q^6)))-((69333 Gamma[5,28 π y])/(268912 (π^5) (q^7)))-((1014753 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))-((652223 Gamma[5,36 π y])/(2519424 (π^5) (q^9)))-((1552059 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))-((120789 Gamma[5,44 π y])/(468512 (π^5) (q^11)))-((644831 Gamma[5,48 π y])/(2654208 (π^5) (q^12)))-((6126351 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))-((2086293 Gamma[5,56 π y])/(8605184 (π^5) (q^14)))-((349591 Gamma[5,60 π y])/(1350000 (π^5) (q^15)))-((32472033 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))-((23427657 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))-((19625983 Gamma[5,72 π y])/(80621568 (π^5) (q^18)))-((20427825 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))-((49567419 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))-((1409771 Gamma[5,84 π y])/(5445468 (π^5) (q^21)))-((39981159 Gamma[5,88 π y])/(164916224 (π^5) (q^22)))-((26549919 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))-((20633311 Gamma[5,96 π y])/(84934656 (π^5) (q^24)))-((322368783 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))-((184347471 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))-((19811275 Gamma[5,108 π y])/(76527504 (π^5) (q^27)))-((66629013 Gamma[5,112 π y])/(275365888 (π^5) (q^28)))-((338433975 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))-((10519511 Gamma[5,120 π y])/(43200000 (π^5) (q^30)))-((29523813 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))-((1039104993 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))-((818681 Gamma[5,132 π y])/(3162456 (π^5) (q^33)))-((704959497 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))-((108367479 Gamma[5,140 π y])/(420175000 (π^5) (q^35)))-((626786303 Gamma[5,144 π y])/(2579890176 (π^5) (q^36)))-((1144175307 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))-((614691825 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))-((124569137 Gamma[5,156 π y])/(481195728 (π^5) (q^39)))-((1586058939 Gamma[5,160 π y])/(6553600000 (π^5) (q^40)))-((1911627333 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))-((42421291 Gamma[5,168 π y])/(174254976 (π^5) (q^42)))-((1212819663 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))-((116078229 Gamma[5,176 π y])/(479756288 (π^5) (q^44)))-((339808183 Gamma[5,180 π y])/(1312200000 (π^5) (q^45)))-((798911199 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))-((473024079 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))-((660264671 Gamma[5,192 π y])/(2717908992 (π^5) (q^48)))-((9322237881 Gamma[5,196 π y])/(36156831872 (π^5) (q^49)))-((9700369743 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))-((45 Zeta[5])/(8 (π^5)));
lv2ph4y2e2=-((6 (Sqrt[3]) (Sqrt[q]))/(π^5))-((488 (q^(3/2)))/(27 (Sqrt[3]) (π^5)))-((18756 (Sqrt[3]) (q^(5/2)))/(3125 (π^5)))-((100848 (Sqrt[3]) (q^(7/2)))/(16807 (π^5)))-((118586 (q^(9/2)))/(6561 (Sqrt[3]) (π^5)))-((966312 (Sqrt[3]) (q^(11/2)))/(161051 (π^5)))-((2227764 (Sqrt[3]) (q^(13/2)))/(371293 (π^5)))-((508496 (q^(15/2)))/(28125 (Sqrt[3]) (π^5)))-((8519148 (Sqrt[3]) (q^(17/2)))/(1419857 (π^5)))-((14856600 (Sqrt[3]) (q^(19/2)))/(2476099 (π^5)))-((8202304 (q^(21/2)))/(453789 (Sqrt[3]) (π^5)))-((38618064 (Sqrt[3]) (q^(23/2)))/(6436343 (π^5)))-((58612506 (Sqrt[3]) (q^(25/2)))/(9765625 (π^5)))-((28816400 (q^(27/2)))/(1594323 (Sqrt[3]) (π^5)))-((123066900 (Sqrt[3]) (q^(29/2)))/(20511149 (π^5)))-((171774912 (Sqrt[3]) (q^(31/2)))/(28629151 (π^5)))-((26197792 (q^(33/2)))/(1449459 (Sqrt[3]) (π^5)))-((315250848 (Sqrt[3]) (q^(35/2)))/(52521875 (π^5)))-((416063748 (Sqrt[3]) (q^(37/2)))/(69343957 (π^5)))-((181191472 (q^(39/2)))/(10024911 (Sqrt[3]) (π^5)))-((695137212 (Sqrt[3]) (q^(41/2)))/(115856201 (π^5)))-((882050664 (Sqrt[3]) (q^(43/2)))/(147008443 (π^5)))-((123566612 (q^(45/2)))/(6834375 (Sqrt[3]) (π^5)))-((1376070048 (Sqrt[3]) (q^(47/2)))/(229345007 (π^5)))-((1694952342 (Sqrt[3]) (q^(49/2)))/(282475249 (π^5)))-((76987856 (q^(51/2)))/(4259571 (Sqrt[3]) (π^5)))-((2509172964 (Sqrt[3]) (q^(53/2)))/(418195493 (π^5)))-((3020691312 (Sqrt[3]) (q^(55/2)))/(503284375 (π^5)))-((1208336800 (q^(57/2)))/(66854673 (Sqrt[3]) (π^5)))-((4289545800 (Sqrt[3]) (q^(59/2)))/(714924299 (π^5)))-((5067577812 (Sqrt[3]) (q^(61/2)))/(844596301 (π^5)))-((1993193488 (q^(63/2)))/(110270727 (Sqrt[3]) (π^5)))-((6963990264 (Sqrt[3]) (q^(65/2)))/(1160290625 (π^5)))-((8100750648 (Sqrt[3]) (q^(67/2)))/(1350125107 (π^5)))-((1046978624 (q^(69/2)))/(57927087 (Sqrt[3]) (π^5)))-((10825376112 (Sqrt[3]) (q^(71/2)))/(1804229351 (π^5)))-((12438429564 (Sqrt[3]) (q^(73/2)))/(2073071593 (π^5)))-((4767150488 (q^(75/2)))/(263671875 (Sqrt[3]) (π^5)))-((1476524736 (Sqrt[3]) (q^(77/2)))/(246071287 (π^5)))-((18462338400 (Sqrt[3]) (q^(79/2)))/(3077056399 (π^5)))-((7002385202 (q^(81/2)))/(387420489 (Sqrt[3]) (π^5)))-((23634243864 (Sqrt[3]) (q^(83/2)))/(3939040643 (π^5)))-((26630856648 (Sqrt[3]) (q^(85/2)))/(4437053125 (π^5)))-((3336480400 (q^(87/2)))/(184600341 (Sqrt[3]) (π^5)))-((33504356700 (Sqrt[3]) (q^(89/2)))/(5584059449 (π^5)))-((5349179616 (Sqrt[3]) (q^(91/2)))/(891474493 (π^5)))-((13971026176 (q^(93/2)))/(772987077 (Sqrt[3]) (π^5)))-((1857669264 (Sqrt[3]) (q^(95/2)))/(309512375 (π^5)))-((51524041548 (Sqrt[3]) (q^(97/2)))/(8587340257 (π^5)))-((6366170824 (q^(99/2)))/(352218537 (Sqrt[3]) (π^5)))-(((Sqrt[3]) Gamma[5,2 π y])/(4 (π^5) (Sqrt[q])))-((61 Gamma[5,6 π y])/(81 (Sqrt[3]) (π^5) (q^(3/2))))-((1563 (Sqrt[3]) Gamma[5,10 π y])/(6250 (π^5) (q^(5/2))))-((4202 (Sqrt[3]) Gamma[5,14 π y])/(16807 (π^5) (q^(7/2))))-((59293 Gamma[5,18 π y])/(78732 (Sqrt[3]) (π^5) (q^(9/2))))-((40263 (Sqrt[3]) Gamma[5,22 π y])/(161051 (π^5) (q^(11/2))))-((185647 (Sqrt[3]) Gamma[5,26 π y])/(742586 (π^5) (q^(13/2))))-((63562 Gamma[5,30 π y])/(84375 (Sqrt[3]) (π^5) (q^(15/2))))-((709929 (Sqrt[3]) Gamma[5,34 π y])/(2839714 (π^5) (q^(17/2))))-((619025 (Sqrt[3]) Gamma[5,38 π y])/(2476099 (π^5) (q^(19/2))))-((1025288 Gamma[5,42 π y])/(1361367 (Sqrt[3]) (π^5) (q^(21/2))))-((1609086 (Sqrt[3]) Gamma[5,46 π y])/(6436343 (π^5) (q^(23/2))))-((9768751 (Sqrt[3]) Gamma[5,50 π y])/(39062500 (π^5) (q^(25/2))))-((3602050 Gamma[5,54 π y])/(4782969 (Sqrt[3]) (π^5) (q^(27/2))))-((10255575 (Sqrt[3]) Gamma[5,58 π y])/(41022298 (π^5) (q^(29/2))))-((7157288 (Sqrt[3]) Gamma[5,62 π y])/(28629151 (π^5) (q^(31/2))))-((3274724 Gamma[5,66 π y])/(4348377 (Sqrt[3]) (π^5) (q^(33/2))))-((13135452 (Sqrt[3]) Gamma[5,70 π y])/(52521875 (π^5) (q^(35/2))))-((34671979 (Sqrt[3]) Gamma[5,74 π y])/(138687914 (π^5) (q^(37/2))))-((22648934 Gamma[5,78 π y])/(30074733 (Sqrt[3]) (π^5) (q^(39/2))))-((57928101 (Sqrt[3]) Gamma[5,82 π y])/(231712402 (π^5) (q^(41/2))))-((36752111 (Sqrt[3]) Gamma[5,86 π y])/(147008443 (π^5) (q^(43/2))))-((30891653 Gamma[5,90 π y])/(41006250 (Sqrt[3]) (π^5) (q^(45/2))))-((57336252 (Sqrt[3]) Gamma[5,94 π y])/(229345007 (π^5) (q^(47/2))))-((282492057 (Sqrt[3]) Gamma[5,98 π y])/(1129900996 (π^5) (q^(49/2))))-((9623482 Gamma[5,102 π y])/(12778713 (Sqrt[3]) (π^5) (q^(51/2))))-((209097747 (Sqrt[3]) Gamma[5,106 π y])/(836390986 (π^5) (q^(53/2))))-((125862138 (Sqrt[3]) Gamma[5,110 π y])/(503284375 (π^5) (q^(55/2))))-((151042100 Gamma[5,114 π y])/(200564019 (Sqrt[3]) (π^5) (q^(57/2))))-((178731075 (Sqrt[3]) Gamma[5,118 π y])/(714924299 (π^5) (q^(59/2))))-((422298151 (Sqrt[3]) Gamma[5,122 π y])/(1689192602 (π^5) (q^(61/2))))-((249149186 Gamma[5,126 π y])/(330812181 (Sqrt[3]) (π^5) (q^(63/2))))-((290166261 (Sqrt[3]) Gamma[5,130 π y])/(1160290625 (π^5) (q^(65/2))))-((337531277 (Sqrt[3]) Gamma[5,134 π y])/(1350125107 (π^5) (q^(67/2))))-((130872328 Gamma[5,138 π y])/(173781261 (Sqrt[3]) (π^5) (q^(69/2))))-((451057338 (Sqrt[3]) Gamma[5,142 π y])/(1804229351 (π^5) (q^(71/2))))-((1036535797 (Sqrt[3]) Gamma[5,146 π y])/(4146143186 (π^5) (q^(73/2))))-((595893811 Gamma[5,150 π y])/(791015625 (Sqrt[3]) (π^5) (q^(75/2))))-((61521864 (Sqrt[3]) Gamma[5,154 π y])/(246071287 (π^5) (q^(77/2))))-((769264100 (Sqrt[3]) Gamma[5,158 π y])/(3077056399 (π^5) (q^(79/2))))-((3501192601 Gamma[5,162 π y])/(4649045868 (Sqrt[3]) (π^5) (q^(81/2))))-((984760161 (Sqrt[3]) Gamma[5,166 π y])/(3939040643 (π^5) (q^(83/2))))-((1109619027 (Sqrt[3]) Gamma[5,170 π y])/(4437053125 (π^5) (q^(85/2))))-((417060050 Gamma[5,174 π y])/(553801023 (Sqrt[3]) (π^5) (q^(87/2))))-((2792029725 (Sqrt[3]) Gamma[5,178 π y])/(11168118898 (π^5) (q^(89/2))))-((222882484 (Sqrt[3]) Gamma[5,182 π y])/(891474493 (π^5) (q^(91/2))))-((1746378272 Gamma[5,186 π y])/(2318961231 (Sqrt[3]) (π^5) (q^(93/2))))-((77402886 (Sqrt[3]) Gamma[5,190 π y])/(309512375 (π^5) (q^(95/2))))-((4293670129 (Sqrt[3]) Gamma[5,194 π y])/(17174680514 (π^5) (q^(97/2))))-((795771353 Gamma[5,198 π y])/(1056655611 (Sqrt[3]) (π^5) (q^(99/2))));

(Subscript[Γ, 3])≅(Subscript[A, 4])

weight 2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((2)))=(Subscript[E, 2]^( * ))=lv3wt2y1

lv3wt2y1=1-(3/(π*y))-24 q-72 (q^2)-96 (q^3)-168 (q^4)-144 (q^5)-288 (q^6)-192 (q^7)-360 (q^8)-312 (q^9)-432 (q^10)-288 (q^11)-672 (q^12)-336 (q^13)-576 (q^14)-576 (q^15)-744 (q^16)-432 (q^17)-936 (q^18)-480 (q^19)-1008 (q^20)-768 (q^21)-864 (q^22)-576 (q^23)-1440 (q^24)-744 (q^25)-1008 (q^26)-960 (q^27)-1344 (q^28)-720 (q^29)-1728 (q^30)-768 (q^31)-1512 (q^32)-1152 (q^33)-1296 (q^34)-1152 (q^35)-2184 (q^36)-912 (q^37)-1440 (q^38)-1344 (q^39)-2160 (q^40)-1008 (q^41)-2304 (q^42)-1056 (q^43)-2016 (q^44)-1872 (q^45)-1728 (q^46)-1152 (q^47)-2976 (q^48)-1368 (q^49)-2232 (q^50);

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((2)))=(lv3wt2y3e1,lv3wt2y3e2,lv3wt2y3e3)

lv3wt2y3e1 =1+12 q+36 (q^2)+12 (q^3)+84 (q^4)+72 (q^5)+36 (q^6)+96 (q^7)+180 (q^8)+12 (q^9)+216 (q^10)+144 (q^11)+84 (q^12)+168 (q^13)+288 (q^14)+72 (q^15)+372 (q^16)+216 (q^17)+36 (q^18)+240 (q^19)+504 (q^20)+96 (q^21)+432 (q^22)+288 (q^23)+180 (q^24)+372 (q^25)+504 (q^26)+12 (q^27)+672 (q^28)+360 (q^29)+216 (q^30)+384 (q^31)+756 (q^32)+144 (q^33)+648 (q^34)+576 (q^35)+84 (q^36)+456 (q^37)+720 (q^38)+168 (q^39)+1080 (q^40)+504 (q^41)+288 (q^42)+528 (q^43)+1008 (q^44)+72 (q^45)+864 (q^46)+576 (q^47)+372 (q^48)+684 (q^49)+1116 (q^50);
lv3wt2y3e2=-6 (q^(1/3)) (1+7 q+8 (q^2)+18 (q^3)+14 (q^4)+31 (q^5)+20 (q^6)+36 (q^7)+31 (q^8)+56 (q^9)+32 (q^10)+54 (q^11)+38 (q^12)+90 (q^13)+44 (q^14)+72 (q^15)+57 (q^16)+98 (q^17)+72 (q^18)+90 (q^19)+62 (q^20)+127 (q^21)+68 (q^22)+144 (q^23)+74 (q^24)+140 (q^25)+80 (q^26)+126 (q^27)+108 (q^28)+180 (q^29)+112 (q^30)+144 (q^31)+98 (q^32)+217 (q^33)+104 (q^34)+162 (q^35)+110 (q^36)+248 (q^37)+144 (q^38)+180 (q^39)+133 (q^40)+224 (q^41)+128 (q^42)+252 (q^43)+160 (q^44)+270 (q^45)+140 (q^46)+216 (q^47)+180 (q^48)+266 (q^49));
lv3wt2y3e3=-18 (q^(2/3)) (1+2 q+5 (q^2)+4 (q^3)+8 (q^4)+6 (q^5)+14 (q^6)+8 (q^7)+14 (q^8)+10 (q^9)+21 (q^10)+16 (q^11)+20 (q^12)+14 (q^13)+28 (q^14)+16 (q^15)+31 (q^16)+18 (q^17)+40 (q^18)+20 (q^19)+32 (q^20)+28 (q^21)+42 (q^22)+24 (q^23)+38 (q^24)+32 (q^25)+62 (q^26)+28 (q^27)+44 (q^28)+30 (q^29)+56 (q^30)+40 (q^31)+57 (q^32)+34 (q^33)+70 (q^34)+36 (q^35)+72 (q^36)+38 (q^37)+70 (q^38)+48 (q^39)+62 (q^40)+52 (q^41)+85 (q^42)+44 (q^43)+68 (q^44)+46 (q^45)+112 (q^46)+56 (q^47)+74 (q^48)+50 (q^49));

weight 4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((4)))=lv3wt4y1

lv3wt4y1=1+240 q+2160 (q^2)+6720 (q^3)+17520 (q^4)+30240 (q^5)+60480 (q^6)+82560 (q^7)+140400 (q^8)+181680 (q^9)+272160 (q^10)+319680 (q^11)+490560 (q^12)+527520 (q^13)+743040 (q^14)+846720 (q^15)+1123440 (q^16)+1179360 (q^17)+1635120 (q^18)+1646400 (q^19)+2207520 (q^20)+2311680 (q^21)+2877120 (q^22)+2920320 (q^23)+3931200 (q^24)+3780240 (q^25)+4747680 (q^26)+4905600 (q^27)+6026880 (q^28)+5853600 (q^29)+7620480 (q^30)+7150080 (q^31)+8987760 (q^32)+8951040 (q^33)+10614240 (q^34)+10402560 (q^35)+13262640 (q^36)+12156960 (q^37)+14817600 (q^38)+14770560 (q^39)+17690400 (q^40)+16541280 (q^41)+20805120 (q^42)+19081920 (q^43)+23336640 (q^44)+22891680 (q^45)+26282880 (q^46)+24917760 (q^47)+31456320 (q^48)+28318320 (q^49)+34022160 (q^50);

(Subscript[ρ, r])=1'

(Subscript[Y, 1']^((4)))=lv3wt4y1p

lv3wt4y1p=12 (q^(1/3)) (-1+8 q-20 (q^2)+70 (q^4)-64 (q^5)-56 (q^6)+125 (q^8)+160 (q^9)-308 (q^10)-110 (q^12)+520 (q^14)-57 (q^16)-560 (q^17)-182 (q^20)+512 (q^21)+880 (q^22)-1190 (q^24)+448 (q^25)-884 (q^26)+1400 (q^30)+1330 (q^32)-1000 (q^33)-1820 (q^34)+646 (q^36)-1280 (q^37)+1331 (q^40)+2464 (q^41)-380 (q^42)-1120 (q^44)-2576 (q^46)+880 (q^49));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((4)))=(lv3wt4y3e1,lv3wt4y3e2,lv3wt4y3e3)

lv3wt4y3e1=1-84 q-756 (q^2)-2028 (q^3)-6132 (q^4)-10584 (q^5)-18252 (q^6)-28896 (q^7)-49140 (q^8)-54516 (q^9)-95256 (q^10)-111888 (q^11)-148044 (q^12)-184632 (q^13)-260064 (q^14)-255528 (q^15)-393204 (q^16)-412776 (q^17)-490644 (q^18)-576240 (q^19)-772632 (q^20)-697632 (q^21)-1006992 (q^22)-1022112 (q^23)-1186380 (q^24)-1323084 (q^25)-1661688 (q^26)-1471692 (q^27)-2109408 (q^28)-2048760 (q^29)-2299752 (q^30)-2502528 (q^31)-3145716 (q^32)-2701296 (q^33)-3714984 (q^34)-3640896 (q^35)-3979668 (q^36)-4254936 (q^37)-5186160 (q^38)-4457544 (q^39)-6191640 (q^40)-5789448 (q^41)-6278688 (q^42)-6678672 (q^43)-8167824 (q^44)-6869016 (q^45)-9199008 (q^46)-8721216 (q^47)-9493068 (q^48)-9911412 (q^49)-11907756 (q^50);
lv3wt4y3e2=6 (q^(1/3)) (1+73 q+344 (q^2)+1134 (q^3)+2198 (q^4)+4681 (q^5)+6860 (q^6)+11988 (q^7)+15751 (q^8)+25112 (q^9)+29792 (q^10)+44226 (q^11)+50654 (q^12)+73710 (q^13)+79508 (q^14)+109512 (q^15)+117993 (q^16)+160454 (q^17)+167832 (q^18)+219510 (q^19)+226982 (q^20)+299593 (q^21)+300764 (q^22)+390096 (q^23)+389018 (q^24)+500780 (q^25)+493040 (q^26)+620298 (q^27)+619164 (q^28)+779220 (q^29)+756112 (q^30)+934416 (q^31)+912674 (q^32)+1149823 (q^33)+1092728 (q^34)+1339902 (q^35)+1295030 (q^36)+1610264 (q^37)+1533168 (q^38)+1848420 (q^39)+1772893 (q^40)+2174816 (q^41)+2048384 (q^42)+2492532 (q^43)+2359840 (q^44)+2874690 (q^45)+2685620 (q^46)+3221208 (q^47)+3073140 (q^48)+3697742 (q^49));
lv3wt4y3e3=54 (q^(2/3)) (1+14 q+65 (q^2)+148 (q^3)+344 (q^4)+546 (q^5)+1022 (q^6)+1352 (q^7)+2198 (q^8)+2710 (q^9)+4161 (q^10)+4816 (q^11)+6860 (q^12)+7658 (q^13)+10804 (q^14)+11536 (q^15)+15751 (q^16)+16542 (q^17)+22360 (q^18)+22820 (q^19)+29792 (q^20)+30772 (q^21)+39858 (q^22)+39768 (q^23)+50654 (q^24)+50912 (q^25)+65534 (q^26)+63532 (q^27)+79508 (q^28)+78330 (q^29)+98696 (q^30)+96040 (q^31)+117993 (q^32)+114478 (q^33)+142870 (q^34)+136116 (q^35)+167832 (q^36)+160322 (q^37)+197830 (q^38)+187824 (q^39)+226982 (q^40)+218764 (q^41)+266305 (q^42)+249788 (q^43)+300764 (q^44)+285706 (q^45)+351568 (q^46)+325304 (q^47)+389018 (q^48)+367550 (q^49));

weight 6

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((6)))=lv3wt6y1

lv3wt6y1=1-504 q-16632 (q^2)-122976 (q^3)-532728 (q^4)-1575504 (q^5)-4058208 (q^6)-8471232 (q^7)-17047800 (q^8)-29883672 (q^9)-51991632 (q^10)-81170208 (q^11)-129985632 (q^12)-187132176 (q^13)-279550656 (q^14)-384422976 (q^15)-545530104 (q^16)-715608432 (q^17)-986161176 (q^18)-1247954400 (q^19)-1665307728 (q^20)-2066980608 (q^21)-2678616864 (q^22)-3243917376 (q^23)-4159663200 (q^24)-4923450504 (q^25)-6175361808 (q^26)-7261732800 (q^27)-8954092224 (q^28)-10337619600 (q^29)-12685958208 (q^30)-14429092608 (q^31)-17456963832 (q^32)-19805530752 (q^33)-23615078256 (q^34)-26481071232 (q^35)-31587041304 (q^36)-34949354832 (q^37)-41182495200 (q^38)-45660250944 (q^39)-53291422800 (q^40)-58391525808 (q^41)-68210360064 (q^42)-74092255776 (q^43)-85796909856 (q^44)-93416358672 (q^45)-107049273408 (q^46)-115589884032 (q^47)-133109345376 (q^48)-142375996728 (q^49)-162473866632 (q^50);

(Subscript[ρ, r])=3

(Subscript[Y, 3I]^((6)))=(lv3wt6y3Ie1,lv3wt6y3Ie2,lv3wt6y3Ie3)

lv3wt6y3Ie1=1+252 q+5076 (q^2)+41292 (q^3)+178884 (q^4)+528552 (q^5)+1333476 (q^6)+2835936 (q^7)+5727780 (q^8)+9858492 (q^9)+17422776 (q^10)+27158544 (q^11)+42858324 (q^12)+62773128 (q^13)+93715488 (q^14)+126745992 (q^15)+182748132 (q^16)+239920056 (q^17)+325067796 (q^18)+418224240 (q^19)+558154584 (q^20)+681438816 (q^21)+898059312 (q^22)+1087177248 (q^23)+1371536820 (q^24)+1649910852 (q^25)+2069446104 (q^26)+2394038412 (q^27)+3001083552 (q^28)+3465191880 (q^29)+4182442776 (q^30)+4836489984 (q^31)+5851080036 (q^32)+6529320144 (q^33)+7914504168 (q^34)+8875503936 (q^35)+10413340164 (q^36)+11713594536 (q^37)+13803201360 (q^38)+15054335208 (q^39)+17861494680 (q^40)+19570215384 (q^41)+22488647328 (q^42)+24833919888 (q^43)+28755919728 (q^44)+30796650792 (q^45)+35879570784 (q^46)+38740113216 (q^47)+43884349812 (q^48)+47718164124 (q^49)+54457066476 (q^50);
lv3wt6y3Ie2=-6 (q^(1/3)) (1+247 q+3848 (q^2)+23778 (q^3)+86174 (q^4)+248911 (q^5)+570980 (q^6)+1229076 (q^7)+2251951 (q^8)+4099736 (q^9)+6610112 (q^10)+10808694 (q^11)+16000598 (q^12)+24401610 (q^13)+33932444 (q^14)+49019112 (q^15)+65178777 (q^16)+90569138 (q^17)+116177832 (q^18)+156178890 (q^19)+194937422 (q^20)+255801007 (q^21)+311549588 (q^22)+400127184 (q^23)+478369514 (q^24)+603976220 (q^25)+710106800 (q^26)+882321246 (q^27)+1024267788 (q^28)+1257061860 (q^29)+1440144112 (q^30)+1746636624 (q^31)+1981731938 (q^32)+2382814297 (q^33)+2675288744 (q^34)+3184563762 (q^35)+3550623230 (q^36)+4198418648 (q^37)+4643075664 (q^38)+5444506980 (q^39)+5985717493 (q^40)+6983324384 (q^41)+7624107488 (q^42)+8838893052 (q^43)+9604237600 (q^44)+11083197870 (q^45)+11974079420 (q^46)+13739920056 (q^47)+14796449460 (q^48)+16914584186 (q^49));
lv3wt6y3Ie3=-18 (q^(2/3)) (1+242 q+2645 (q^2)+12244 (q^3)+42728 (q^4)+109446 (q^5)+254174 (q^6)+494888 (q^7)+941534 (q^8)+1578970 (q^9)+2664741 (q^10)+4041616 (q^11)+6286340 (q^12)+8910254 (q^13)+13094188 (q^14)+17637136 (q^15)+24802351 (q^16)+32177538 (q^17)+43731400 (q^18)+54989540 (q^19)+72667232 (q^20)+89282908 (q^21)+115446282 (q^22)+138785784 (q^23)+176030678 (q^24)+208233632 (q^25)+260274062 (q^26)+303024268 (q^27)+373160444 (q^28)+429518910 (q^29)+523323416 (q^30)+595405960 (q^31)+717118617 (q^32)+808432594 (q^33)+966105910 (q^34)+1078909236 (q^35)+1277989992 (q^36)+1417260518 (q^37)+1667719030 (q^38)+1835758128 (q^39)+2143914062 (q^40)+2348247892 (q^41)+2728262245 (q^42)+2967719324 (q^43)+3427276148 (q^44)+3712517326 (q^45)+4272052912 (q^46)+4599726296 (q^47)+5262475754 (q^48)+5649186530 (q^49));

(Subscript[Y, 3II]^((6)))=(lv3wt6y3IIe1,lv3wt6y3IIe2,lv3wt6y3IIe3)

lv3wt6y3IIe1=216 q (1-6 q+9 (q^2)+4 (q^3)+6 (q^4)-54 (q^5)-40 (q^6)+168 (q^7)+81 (q^8)-36 (q^9)-564 (q^10)+36 (q^11)+638 (q^12)+240 (q^13)+54 (q^14)-1136 (q^15)+882 (q^16)-486 (q^17)-556 (q^18)+24 (q^19)-360 (q^20)+3384 (q^21)-840 (q^22)+1512 (q^23)-3089 (q^24)-3828 (q^25)+729 (q^26)-160 (q^27)+4638 (q^28)-324 (q^29)+4400 (q^30)+1440 (q^31)-5076 (q^32)-5292 (q^33)-240 (q^34)+324 (q^35)-2410 (q^36)+3336 (q^37)+5742 (q^38)+1008 (q^39)-6870 (q^40)+2160 (q^41)+9644 (q^42)-2256 (q^43)+486 (q^44)+5040 (q^45)-18672 (q^46)-10224 (q^47)-15207 (q^48)+18534 (q^49));
lv3wt6y3IIe2=12 (q^(1/3)) (-1-4 q+40 (q^2)+36 (q^3)-638 (q^4)+1136 (q^5)+556 (q^6)-3384 (q^7)+3089 (q^8)+160 (q^9)-4400 (q^10)+5292 (q^11)+2410 (q^12)-1008 (q^13)-9644 (q^14)-5040 (q^15)+15207 (q^16)-2552 (q^17)+3384 (q^18)+27828 (q^19)-39758 (q^20)-27712 (q^21)+23068 (q^22)-1440 (q^23)+41110 (q^24)+2224 (q^25)-21920 (q^26)-41220 (q^27)-5292 (q^28)+94752 (q^29)+25520 (q^30)-112032 (q^31)-49442 (q^32)+12356 (q^33)-53144 (q^34)+202500 (q^35)+61666 (q^36)-45440 (q^37)+5040 (q^38)-108504 (q^39)-157045 (q^40)-17600 (q^41)+171088 (q^42)+22968 (q^43)-22240 (q^44)-148176 (q^45)+350164 (q^46)-25488 (q^47)-27828 (q^48)+9640 (q^49));
lv3wt6y3IIe3=72 (q^(2/3)) (1-q-28 (q^2)+94 (q^3)-40 (q^4)-147 (q^5)-4 (q^6)+140 (q^7)+638 (q^8)-773 (q^9)-240 (q^10)+40 (q^11)-556 (q^12)+1145 (q^13)+376 (q^14)+3112 (q^15)-3089 (q^16)-5625 (q^17)+1120 (q^18)+3014 (q^19)+4400 (q^20)-638 (q^21)-588 (q^22)+708 (q^23)-2410 (q^24)-3760 (q^25)+1136 (q^26)-13742 (q^27)+9644 (q^28)+15681 (q^29)+560 (q^30)+556 (q^31)-15207 (q^32)+23839 (q^33)-17864 (q^34)-15138 (q^35)-3384 (q^36)-1747 (q^37)-3092 (q^38)+5880 (q^39)+39758 (q^40)+6214 (q^41)+35392 (q^42)-43078 (q^43)-23068 (q^44)-50039 (q^45)+160 (q^46)+59972 (q^47)-41110 (q^48)+17543 (q^49));

weight 0

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((0)))=(lv3ph0y3e1,lv3ph0y3e2,lv3ph0y3e3)

lv3ph0y3e1=-0.7868230932736344`-((279 (E^(-200 π y)))/(50 π (q^50)))-((171 (E^(-196 π y)))/(49 π (q^49)))-((31 (E^(-192 π y)))/(16 π (q^48)))-((144 (E^(-188 π y)))/(47 π (q^47)))-((108 (E^(-184 π y)))/(23 π (q^46)))-((2 (E^(-180 π y)))/(5 π (q^45)))-((63 (E^(-176 π y)))/(11 π (q^44)))-((132 (E^(-172 π y)))/(43 π (q^43)))-((12 (E^(-168 π y)))/(7 π (q^42)))-((126 (E^(-164 π y)))/(41 π (q^41)))-((27 (E^(-160 π y)))/(4 π (q^40)))-((14 (E^(-156 π y)))/(13 π (q^39)))-((90 (E^(-152 π y)))/(19 π (q^38)))-((114 (E^(-148 π y)))/(37 π (q^37)))-((7 (E^(-144 π y)))/(12 π (q^36)))-((144 (E^(-140 π y)))/(35 π (q^35)))-((81 (E^(-136 π y)))/(17 π (q^34)))-((12 (E^(-132 π y)))/(11 π (q^33)))-((189 (E^(-128 π y)))/(32 π (q^32)))-((96 (E^(-124 π y)))/(31 π (q^31)))-((9 (E^(-120 π y)))/(5 π (q^30)))-((90 (E^(-116 π y)))/(29 π (q^29)))-((6 (E^(-112 π y)))/(π (q^28)))-((E^(-108 π y))/(9 π (q^27)))-((63 (E^(-104 π y)))/(13 π (q^26)))-((93 (E^(-100 π y)))/(25 π (q^25)))-((15 (E^(-96 π y)))/(8 π (q^24)))-((72 (E^(-92 π y)))/(23 π (q^23)))-((54 (E^(-88 π y)))/(11 π (q^22)))-((8 (E^(-84 π y)))/(7 π (q^21)))-((63 (E^(-80 π y)))/(10 π (q^20)))-((60 (E^(-76 π y)))/(19 π (q^19)))-((E^(-72 π y))/(2 π (q^18)))-((54 (E^(-68 π y)))/(17 π (q^17)))-((93 (E^(-64 π y)))/(16 π (q^16)))-((6 (E^(-60 π y)))/(5 π (q^15)))-((36 (E^(-56 π y)))/(7 π (q^14)))-((42 (E^(-52 π y)))/(13 π (q^13)))-((7 (E^(-48 π y)))/(4 π (q^12)))-((36 (E^(-44 π y)))/(11 π (q^11)))-((27 (E^(-40 π y)))/(5 π (q^10)))-((E^(-36 π y))/(3 π (q^9)))-((45 (E^(-32 π y)))/(8 π (q^8)))-((24 (E^(-28 π y)))/(7 π (q^7)))-((3 (E^(-24 π y)))/(2 π (q^6)))-((18 (E^(-20 π y)))/(5 π (q^5)))-((21 (E^(-16 π y)))/(4 π (q^4)))-((E^(-12 π y))/(π (q^3)))-((9 (E^(-8 π y)))/(2 π (q^2)))-((3 (E^(-4 π y)))/(π q))-((3 q)/π)-((9 (q^2))/(2 π))-((q^3)/π)-((21 (q^4))/(4 π))-((18 (q^5))/(5 π))-((3 (q^6))/(2 π))-((24 (q^7))/(7 π))-((45 (q^8))/(8 π))-((q^9)/(3 π))-((27 (q^10))/(5 π))-((36 (q^11))/(11 π))-((7 (q^12))/(4 π))-((42 (q^13))/(13 π))-((36 (q^14))/(7 π))-((6 (q^15))/(5 π))-((93 (q^16))/(16 π))-((54 (q^17))/(17 π))-((q^18)/(2 π))-((60 (q^19))/(19 π))-((63 (q^20))/(10 π))-((8 (q^21))/(7 π))-((54 (q^22))/(11 π))-((72 (q^23))/(23 π))-((15 (q^24))/(8 π))-((93 (q^25))/(25 π))-((63 (q^26))/(13 π))-((q^27)/(9 π))-((6 (q^28))/π)-((90 (q^29))/(29 π))-((9 (q^30))/(5 π))-((96 (q^31))/(31 π))-((189 (q^32))/(32 π))-((12 (q^33))/(11 π))-((81 (q^34))/(17 π))-((144 (q^35))/(35 π))-((7 (q^36))/(12 π))-((114 (q^37))/(37 π))-((90 (q^38))/(19 π))-((14 (q^39))/(13 π))-((27 (q^40))/(4 π))-((126 (q^41))/(41 π))-((12 (q^42))/(7 π))-((132 (q^43))/(43 π))-((63 (q^44))/(11 π))-((2 (q^45))/(5 π))-((108 (q^46))/(23 π))-((144 (q^47))/(47 π))-((31 (q^48))/(16 π))-((171 (q^49))/(49 π))-((279 (q^50))/(50 π))+y;
lv3ph0y3e2=((675 (E^(-((596 π y)/3))))/(149 π (q^(149/3))))+((999 (E^(-((584 π y)/3))))/(146 π (q^(146/3))))+((756 (E^(-((572 π y)/3))))/(143 π (q^(143/3))))+((54 (E^(-((560 π y)/3))))/(5 π (q^(140/3))))+((621 (E^(-((548 π y)/3))))/(137 π (q^(137/3))))+((459 (E^(-((536 π y)/3))))/(67 π (q^(134/3))))+((594 (E^(-((524 π y)/3))))/(131 π (q^(131/3))))+((2295 (E^(-((512 π y)/3))))/(256 π (q^(128/3))))+((702 (E^(-((500 π y)/3))))/(125 π (q^(125/3))))+((837 (E^(-((488 π y)/3))))/(122 π (q^(122/3))))+((648 (E^(-((476 π y)/3))))/(119 π (q^(119/3))))+((945 (E^(-((464 π y)/3))))/(116 π (q^(116/3))))+((513 (E^(-((452 π y)/3))))/(113 π (q^(113/3))))+((486 (E^(-((440 π y)/3))))/(55 π (q^(110/3))))+((486 (E^(-((428 π y)/3))))/(107 π (q^(107/3))))+((945 (E^(-((416 π y)/3))))/(104 π (q^(104/3))))+((459 (E^(-((404 π y)/3))))/(101 π (q^(101/3))))+((1539 (E^(-((392 π y)/3))))/(196 π (q^(98/3))))+((108 (E^(-((380 π y)/3))))/(19 π (q^(95/3))))+((189 (E^(-((368 π y)/3))))/(23 π (q^(92/3))))+((405 (E^(-((356 π y)/3))))/(89 π (q^(89/3))))+((297 (E^(-((344 π y)/3))))/(43 π (q^(86/3))))+((378 (E^(-((332 π y)/3))))/(83 π (q^(83/3))))+((837 (E^(-((320 π y)/3))))/(80 π (q^(80/3))))+((432 (E^(-((308 π y)/3))))/(77 π (q^(77/3))))+((513 (E^(-((296 π y)/3))))/(74 π (q^(74/3))))+((324 (E^(-((284 π y)/3))))/(71 π (q^(71/3))))+((567 (E^(-((272 π y)/3))))/(68 π (q^(68/3))))+((378 (E^(-((260 π y)/3))))/(65 π (q^(65/3))))+((216 (E^(-((248 π y)/3))))/(31 π (q^(62/3))))+((270 (E^(-((236 π y)/3))))/(59 π (q^(59/3))))+((135 (E^(-((224 π y)/3))))/(14 π (q^(56/3))))+((243 (E^(-((212 π y)/3))))/(53 π (q^(53/3))))+((837 (E^(-((200 π y)/3))))/(100 π (q^(50/3))))+((216 (E^(-((188 π y)/3))))/(47 π (q^(47/3))))+((189 (E^(-((176 π y)/3))))/(22 π (q^(44/3))))+((189 (E^(-((164 π y)/3))))/(41 π (q^(41/3))))+((135 (E^(-((152 π y)/3))))/(19 π (q^(38/3))))+((216 (E^(-((140 π y)/3))))/(35 π (q^(35/3))))+((567 (E^(-((128 π y)/3))))/(64 π (q^(32/3))))+((135 (E^(-((116 π y)/3))))/(29 π (q^(29/3))))+((189 (E^(-((104 π y)/3))))/(26 π (q^(26/3))))+((108 (E^(-((92 π y)/3))))/(23 π (q^(23/3))))+((189 (E^(-((80 π y)/3))))/(20 π (q^(20/3))))+((81 (E^(-((68 π y)/3))))/(17 π (q^(17/3))))+((54 (E^(-((56 π y)/3))))/(7 π (q^(14/3))))+((54 (E^(-((44 π y)/3))))/(11 π (q^(11/3))))+((135 (E^(-((32 π y)/3))))/(16 π (q^(8/3))))+((27 (E^(-((20 π y)/3))))/(5 π (q^(5/3))))+((27 (E^(-((8 π y)/3))))/(4 π (q^(2/3))))+((9 (q^(1/3)))/(2 π))+((63 (q^(4/3)))/(8 π))+((36 (q^(7/3)))/(7 π))+((81 (q^(10/3)))/(10 π))+((63 (q^(13/3)))/(13 π))+((279 (q^(16/3)))/(32 π))+((90 (q^(19/3)))/(19 π))+((81 (q^(22/3)))/(11 π))+((279 (q^(25/3)))/(50 π))+((9 (q^(28/3)))/π)+((144 (q^(31/3)))/(31 π))+((243 (q^(34/3)))/(34 π))+((171 (q^(37/3)))/(37 π))+((81 (q^(40/3)))/(8 π))+((198 (q^(43/3)))/(43 π))+((162 (q^(46/3)))/(23 π))+((513 (q^(49/3)))/(98 π))+((441 (q^(52/3)))/(52 π))+((324 (q^(55/3)))/(55 π))+((405 (q^(58/3)))/(58 π))+((279 (q^(61/3)))/(61 π))+((1143 (q^(64/3)))/(128 π))+((306 (q^(67/3)))/(67 π))+((324 (q^(70/3)))/(35 π))+((333 (q^(73/3)))/(73 π))+((315 (q^(76/3)))/(38 π))+((360 (q^(79/3)))/(79 π))+((567 (q^(82/3)))/(82 π))+((486 (q^(85/3)))/(85 π))+((405 (q^(88/3)))/(44 π))+((72 (q^(91/3)))/(13 π))+((324 (q^(94/3)))/(47 π))+((441 (q^(97/3)))/(97 π))+((1953 (q^(100/3)))/(200 π))+((468 (q^(103/3)))/(103 π))+((729 (q^(106/3)))/(106 π))+((495 (q^(109/3)))/(109 π))+((279 (q^(112/3)))/(28 π))+((648 (q^(115/3)))/(115 π))+((405 (q^(118/3)))/(59 π))+((1197 (q^(121/3)))/(242 π))+((252 (q^(124/3)))/(31 π))+((576 (q^(127/3)))/(127 π))+((567 (q^(130/3)))/(65 π))+((720 (q^(133/3)))/(133 π))+((1215 (q^(136/3)))/(136 π))+((630 (q^(139/3)))/(139 π))+((486 (q^(142/3)))/(71 π))+((162 (q^(145/3)))/(29 π))+((1197 (q^(148/3)))/(148 π));
lv3ph0y3e3=((1197 (E^(-((592 π y)/3))))/(148 π (q^(148/3))))+((162 (E^(-((580 π y)/3))))/(29 π (q^(145/3))))+((486 (E^(-((568 π y)/3))))/(71 π (q^(142/3))))+((630 (E^(-((556 π y)/3))))/(139 π (q^(139/3))))+((1215 (E^(-((544 π y)/3))))/(136 π (q^(136/3))))+((720 (E^(-((532 π y)/3))))/(133 π (q^(133/3))))+((567 (E^(-((520 π y)/3))))/(65 π (q^(130/3))))+((576 (E^(-((508 π y)/3))))/(127 π (q^(127/3))))+((252 (E^(-((496 π y)/3))))/(31 π (q^(124/3))))+((1197 (E^(-((484 π y)/3))))/(242 π (q^(121/3))))+((405 (E^(-((472 π y)/3))))/(59 π (q^(118/3))))+((648 (E^(-((460 π y)/3))))/(115 π (q^(115/3))))+((279 (E^(-((448 π y)/3))))/(28 π (q^(112/3))))+((495 (E^(-((436 π y)/3))))/(109 π (q^(109/3))))+((729 (E^(-((424 π y)/3))))/(106 π (q^(106/3))))+((468 (E^(-((412 π y)/3))))/(103 π (q^(103/3))))+((1953 (E^(-((400 π y)/3))))/(200 π (q^(100/3))))+((441 (E^(-((388 π y)/3))))/(97 π (q^(97/3))))+((324 (E^(-((376 π y)/3))))/(47 π (q^(94/3))))+((72 (E^(-((364 π y)/3))))/(13 π (q^(91/3))))+((405 (E^(-((352 π y)/3))))/(44 π (q^(88/3))))+((486 (E^(-((340 π y)/3))))/(85 π (q^(85/3))))+((567 (E^(-((328 π y)/3))))/(82 π (q^(82/3))))+((360 (E^(-((316 π y)/3))))/(79 π (q^(79/3))))+((315 (E^(-((304 π y)/3))))/(38 π (q^(76/3))))+((333 (E^(-((292 π y)/3))))/(73 π (q^(73/3))))+((324 (E^(-((280 π y)/3))))/(35 π (q^(70/3))))+((306 (E^(-((268 π y)/3))))/(67 π (q^(67/3))))+((1143 (E^(-((256 π y)/3))))/(128 π (q^(64/3))))+((279 (E^(-((244 π y)/3))))/(61 π (q^(61/3))))+((405 (E^(-((232 π y)/3))))/(58 π (q^(58/3))))+((324 (E^(-((220 π y)/3))))/(55 π (q^(55/3))))+((441 (E^(-((208 π y)/3))))/(52 π (q^(52/3))))+((513 (E^(-((196 π y)/3))))/(98 π (q^(49/3))))+((162 (E^(-((184 π y)/3))))/(23 π (q^(46/3))))+((198 (E^(-((172 π y)/3))))/(43 π (q^(43/3))))+((81 (E^(-((160 π y)/3))))/(8 π (q^(40/3))))+((171 (E^(-((148 π y)/3))))/(37 π (q^(37/3))))+((243 (E^(-((136 π y)/3))))/(34 π (q^(34/3))))+((144 (E^(-((124 π y)/3))))/(31 π (q^(31/3))))+((9 (E^(-((112 π y)/3))))/(π (q^(28/3))))+((279 (E^(-((100 π y)/3))))/(50 π (q^(25/3))))+((81 (E^(-((88 π y)/3))))/(11 π (q^(22/3))))+((90 (E^(-((76 π y)/3))))/(19 π (q^(19/3))))+((279 (E^(-((64 π y)/3))))/(32 π (q^(16/3))))+((63 (E^(-((52 π y)/3))))/(13 π (q^(13/3))))+((81 (E^(-((40 π y)/3))))/(10 π (q^(10/3))))+((36 (E^(-((28 π y)/3))))/(7 π (q^(7/3))))+((63 (E^(-((16 π y)/3))))/(8 π (q^(4/3))))+((9 (E^(-((4 π y)/3))))/(2 π (q^(1/3))))+((27 (q^(2/3)))/(4 π))+((27 (q^(5/3)))/(5 π))+((135 (q^(8/3)))/(16 π))+((54 (q^(11/3)))/(11 π))+((54 (q^(14/3)))/(7 π))+((81 (q^(17/3)))/(17 π))+((189 (q^(20/3)))/(20 π))+((108 (q^(23/3)))/(23 π))+((189 (q^(26/3)))/(26 π))+((135 (q^(29/3)))/(29 π))+((567 (q^(32/3)))/(64 π))+((216 (q^(35/3)))/(35 π))+((135 (q^(38/3)))/(19 π))+((189 (q^(41/3)))/(41 π))+((189 (q^(44/3)))/(22 π))+((216 (q^(47/3)))/(47 π))+((837 (q^(50/3)))/(100 π))+((243 (q^(53/3)))/(53 π))+((135 (q^(56/3)))/(14 π))+((270 (q^(59/3)))/(59 π))+((216 (q^(62/3)))/(31 π))+((378 (q^(65/3)))/(65 π))+((567 (q^(68/3)))/(68 π))+((324 (q^(71/3)))/(71 π))+((513 (q^(74/3)))/(74 π))+((432 (q^(77/3)))/(77 π))+((837 (q^(80/3)))/(80 π))+((378 (q^(83/3)))/(83 π))+((297 (q^(86/3)))/(43 π))+((405 (q^(89/3)))/(89 π))+((189 (q^(92/3)))/(23 π))+((108 (q^(95/3)))/(19 π))+((1539 (q^(98/3)))/(196 π))+((459 (q^(101/3)))/(101 π))+((945 (q^(104/3)))/(104 π))+((486 (q^(107/3)))/(107 π))+((486 (q^(110/3)))/(55 π))+((513 (q^(113/3)))/(113 π))+((945 (q^(116/3)))/(116 π))+((648 (q^(119/3)))/(119 π))+((837 (q^(122/3)))/(122 π))+((702 (q^(125/3)))/(125 π))+((2295 (q^(128/3)))/(256 π))+((594 (q^(131/3)))/(131 π))+((459 (q^(134/3)))/(67 π))+((621 (q^(137/3)))/(137 π))+((54 (q^(140/3)))/(5 π))+((756 (q^(143/3)))/(143 π))+((999 (q^(146/3)))/(146 π))+((675 (q^(149/3)))/(149 π));

weight -2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-2)))=lv3ph2y1

lv3ph2y1=-((15 q)/(2 (π^3)))-((135 (q^2))/(16 (π^3)))-((70 (q^3))/(9 (π^3)))-((1095 (q^4))/(128 (π^3)))-((189 (q^5))/(25 (π^3)))-((35 (q^6))/(4 (π^3)))-((2580 (q^7))/(343 (π^3)))-((8775 (q^8))/(1024 (π^3)))-((3785 (q^9))/(486 (π^3)))-((1701 (q^10))/(200 (π^3)))-((9990 (q^11))/(1331 (π^3)))-((2555 (q^12))/(288 (π^3)))-((16485 (q^13))/(2197 (π^3)))-((5805 (q^14))/(686 (π^3)))-((196 (q^15))/(25 (π^3)))-((70215 (q^16))/(8192 (π^3)))-((36855 (q^17))/(4913 (π^3)))-((3785 (q^18))/(432 (π^3)))-((51450 (q^19))/(6859 (π^3)))-((13797 (q^20))/(1600 (π^3)))-((3440 (q^21))/(441 (π^3)))-((44955 (q^22))/(5324 (π^3)))-((91260 (q^23))/(12167 (π^3)))-((2275 (q^24))/(256 (π^3)))-((47253 (q^25))/(6250 (π^3)))-((148365 (q^26))/(17576 (π^3)))-((51100 (q^27))/(6561 (π^3)))-((47085 (q^28))/(5488 (π^3)))-((182925 (q^29))/(24389 (π^3)))-((441 (q^30))/(50 (π^3)))-((223440 (q^31))/(29791 (π^3)))-((561735 (q^32))/(65536 (π^3)))-((10360 (q^33))/(1331 (π^3)))-((331695 (q^34))/(39304 (π^3)))-((9288 (q^35))/(1225 (π^3)))-((276305 (q^36))/(31104 (π^3)))-((379905 (q^37))/(50653 (π^3)))-((231525 (q^38))/(27436 (π^3)))-((153860 (q^39))/(19773 (π^3)))-((22113 (q^40))/(2560 (π^3)))-((516915 (q^41))/(68921 (π^3)))-((430 (q^42))/(49 (π^3)))-((596310 (q^43))/(79507 (π^3)))-((364635 (q^44))/(42592 (π^3)))-((5299 (q^45))/(675 (π^3)))-((205335 (q^46))/(24334 (π^3)))-((778680 (q^47))/(103823 (π^3)))-((163835 (q^48))/(18432 (π^3)))-((1769895 (q^49))/(235298 (π^3)))-((425277 (q^50))/(50000 (π^3)))+((y^3)/3)-((15 Gamma[3,4 π y])/(4 (π^3) q))-((135 Gamma[3,8 π y])/(32 (π^3) (q^2)))-((35 Gamma[3,12 π y])/(9 (π^3) (q^3)))-((1095 Gamma[3,16 π y])/(256 (π^3) (q^4)))-((189 Gamma[3,20 π y])/(50 (π^3) (q^5)))-((35 Gamma[3,24 π y])/(8 (π^3) (q^6)))-((1290 Gamma[3,28 π y])/(343 (π^3) (q^7)))-((8775 Gamma[3,32 π y])/(2048 (π^3) (q^8)))-((3785 Gamma[3,36 π y])/(972 (π^3) (q^9)))-((1701 Gamma[3,40 π y])/(400 (π^3) (q^10)))-((4995 Gamma[3,44 π y])/(1331 (π^3) (q^11)))-((2555 Gamma[3,48 π y])/(576 (π^3) (q^12)))-((16485 Gamma[3,52 π y])/(4394 (π^3) (q^13)))-((5805 Gamma[3,56 π y])/(1372 (π^3) (q^14)))-((98 Gamma[3,60 π y])/(25 (π^3) (q^15)))-((70215 Gamma[3,64 π y])/(16384 (π^3) (q^16)))-((36855 Gamma[3,68 π y])/(9826 (π^3) (q^17)))-((3785 Gamma[3,72 π y])/(864 (π^3) (q^18)))-((25725 Gamma[3,76 π y])/(6859 (π^3) (q^19)))-((13797 Gamma[3,80 π y])/(3200 (π^3) (q^20)))-((1720 Gamma[3,84 π y])/(441 (π^3) (q^21)))-((44955 Gamma[3,88 π y])/(10648 (π^3) (q^22)))-((45630 Gamma[3,92 π y])/(12167 (π^3) (q^23)))-((2275 Gamma[3,96 π y])/(512 (π^3) (q^24)))-((47253 Gamma[3,100 π y])/(12500 (π^3) (q^25)))-((148365 Gamma[3,104 π y])/(35152 (π^3) (q^26)))-((25550 Gamma[3,108 π y])/(6561 (π^3) (q^27)))-((47085 Gamma[3,112 π y])/(10976 (π^3) (q^28)))-((182925 Gamma[3,116 π y])/(48778 (π^3) (q^29)))-((441 Gamma[3,120 π y])/(100 (π^3) (q^30)))-((111720 Gamma[3,124 π y])/(29791 (π^3) (q^31)))-((561735 Gamma[3,128 π y])/(131072 (π^3) (q^32)))-((5180 Gamma[3,132 π y])/(1331 (π^3) (q^33)))-((331695 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((4644 Gamma[3,140 π y])/(1225 (π^3) (q^35)))-((276305 Gamma[3,144 π y])/(62208 (π^3) (q^36)))-((379905 Gamma[3,148 π y])/(101306 (π^3) (q^37)))-((231525 Gamma[3,152 π y])/(54872 (π^3) (q^38)))-((76930 Gamma[3,156 π y])/(19773 (π^3) (q^39)))-((22113 Gamma[3,160 π y])/(5120 (π^3) (q^40)))-((516915 Gamma[3,164 π y])/(137842 (π^3) (q^41)))-((215 Gamma[3,168 π y])/(49 (π^3) (q^42)))-((298155 Gamma[3,172 π y])/(79507 (π^3) (q^43)))-((364635 Gamma[3,176 π y])/(85184 (π^3) (q^44)))-((5299 Gamma[3,180 π y])/(1350 (π^3) (q^45)))-((205335 Gamma[3,184 π y])/(48668 (π^3) (q^46)))-((389340 Gamma[3,188 π y])/(103823 (π^3) (q^47)))-((163835 Gamma[3,192 π y])/(36864 (π^3) (q^48)))-((1769895 Gamma[3,196 π y])/(470596 (π^3) (q^49)))-((425277 Gamma[3,200 π y])/(100000 (π^3) (q^50)))-((15 Zeta[3])/(2 (π^3)));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-2)))=(lv3ph2y3e1,lv3ph2y3e2,lv3ph2y3e3)

lv3ph2y3e1=((21 q)/(8 (π^3)))+((189 (q^2))/(64 (π^3)))+((169 (q^3))/(72 (π^3)))+((1533 (q^4))/(512 (π^3)))+((1323 (q^5))/(500 (π^3)))+((169 (q^6))/(64 (π^3)))+((129 (q^7))/(49 (π^3)))+((12285 (q^8))/(4096 (π^3)))+((4543 (q^9))/(1944 (π^3)))+((11907 (q^10))/(4000 (π^3)))+((6993 (q^11))/(2662 (π^3)))+((12337 (q^12))/(4608 (π^3)))+((23079 (q^13))/(8788 (π^3)))+((1161 (q^14))/(392 (π^3)))+((1183 (q^15))/(500 (π^3)))+((98301 (q^16))/(32768 (π^3)))+((51597 (q^17))/(19652 (π^3)))+((4543 (q^18))/(1728 (π^3)))+((36015 (q^19))/(13718 (π^3)))+((96579 (q^20))/(32000 (π^3)))+((7267 (q^21))/(3087 (π^3)))+((62937 (q^22))/(21296 (π^3)))+((31941 (q^23))/(12167 (π^3)))+((10985 (q^24))/(4096 (π^3)))+((330771 (q^25))/(125000 (π^3)))+((207711 (q^26))/(70304 (π^3)))+((122641 (q^27))/(52488 (π^3)))+((9417 (q^28))/(3136 (π^3)))+((256095 (q^29))/(97556 (π^3)))+((10647 (q^30))/(4000 (π^3)))+((78204 (q^31))/(29791 (π^3)))+((786429 (q^32))/(262144 (π^3)))+((6253 (q^33))/(2662 (π^3)))+((464373 (q^34))/(157216 (π^3)))+((2322 (q^35))/(875 (π^3)))+((331639 (q^36))/(124416 (π^3)))+((531867 (q^37))/(202612 (π^3)))+((324135 (q^38))/(109744 (π^3)))+((1099 (q^39))/(468 (π^3)))+((154791 (q^40))/(51200 (π^3)))+((723681 (q^41))/(275684 (π^3)))+((7267 (q^42))/(2744 (π^3)))+((417417 (q^43))/(159014 (π^3)))+((510489 (q^44))/(170368 (π^3)))+((31801 (q^45))/(13500 (π^3)))+((287469 (q^46))/(97336 (π^3)))+((272538 (q^47))/(103823 (π^3)))+((791089 (q^48))/(294912 (π^3)))+((353979 (q^49))/(134456 (π^3)))+((2976939 (q^50))/(1000000 (π^3)))+((y^3)/3)+((21 Gamma[3,4 π y])/(16 (π^3) q))+((189 Gamma[3,8 π y])/(128 (π^3) (q^2)))+((169 Gamma[3,12 π y])/(144 (π^3) (q^3)))+((1533 Gamma[3,16 π y])/(1024 (π^3) (q^4)))+((1323 Gamma[3,20 π y])/(1000 (π^3) (q^5)))+((169 Gamma[3,24 π y])/(128 (π^3) (q^6)))+((129 Gamma[3,28 π y])/(98 (π^3) (q^7)))+((12285 Gamma[3,32 π y])/(8192 (π^3) (q^8)))+((4543 Gamma[3,36 π y])/(3888 (π^3) (q^9)))+((11907 Gamma[3,40 π y])/(8000 (π^3) (q^10)))+((6993 Gamma[3,44 π y])/(5324 (π^3) (q^11)))+((12337 Gamma[3,48 π y])/(9216 (π^3) (q^12)))+((23079 Gamma[3,52 π y])/(17576 (π^3) (q^13)))+((1161 Gamma[3,56 π y])/(784 (π^3) (q^14)))+((1183 Gamma[3,60 π y])/(1000 (π^3) (q^15)))+((98301 Gamma[3,64 π y])/(65536 (π^3) (q^16)))+((51597 Gamma[3,68 π y])/(39304 (π^3) (q^17)))+((4543 Gamma[3,72 π y])/(3456 (π^3) (q^18)))+((36015 Gamma[3,76 π y])/(27436 (π^3) (q^19)))+((96579 Gamma[3,80 π y])/(64000 (π^3) (q^20)))+((7267 Gamma[3,84 π y])/(6174 (π^3) (q^21)))+((62937 Gamma[3,88 π y])/(42592 (π^3) (q^22)))+((31941 Gamma[3,92 π y])/(24334 (π^3) (q^23)))+((10985 Gamma[3,96 π y])/(8192 (π^3) (q^24)))+((330771 Gamma[3,100 π y])/(250000 (π^3) (q^25)))+((207711 Gamma[3,104 π y])/(140608 (π^3) (q^26)))+((122641 Gamma[3,108 π y])/(104976 (π^3) (q^27)))+((9417 Gamma[3,112 π y])/(6272 (π^3) (q^28)))+((256095 Gamma[3,116 π y])/(195112 (π^3) (q^29)))+((10647 Gamma[3,120 π y])/(8000 (π^3) (q^30)))+((39102 Gamma[3,124 π y])/(29791 (π^3) (q^31)))+((786429 Gamma[3,128 π y])/(524288 (π^3) (q^32)))+((6253 Gamma[3,132 π y])/(5324 (π^3) (q^33)))+((464373 Gamma[3,136 π y])/(314432 (π^3) (q^34)))+((1161 Gamma[3,140 π y])/(875 (π^3) (q^35)))+((331639 Gamma[3,144 π y])/(248832 (π^3) (q^36)))+((531867 Gamma[3,148 π y])/(405224 (π^3) (q^37)))+((324135 Gamma[3,152 π y])/(219488 (π^3) (q^38)))+((1099 Gamma[3,156 π y])/(936 (π^3) (q^39)))+((154791 Gamma[3,160 π y])/(102400 (π^3) (q^40)))+((723681 Gamma[3,164 π y])/(551368 (π^3) (q^41)))+((7267 Gamma[3,168 π y])/(5488 (π^3) (q^42)))+((417417 Gamma[3,172 π y])/(318028 (π^3) (q^43)))+((510489 Gamma[3,176 π y])/(340736 (π^3) (q^44)))+((31801 Gamma[3,180 π y])/(27000 (π^3) (q^45)))+((287469 Gamma[3,184 π y])/(194672 (π^3) (q^46)))+((136269 Gamma[3,188 π y])/(103823 (π^3) (q^47)))+((791089 Gamma[3,192 π y])/(589824 (π^3) (q^48)))+((353979 Gamma[3,196 π y])/(268912 (π^3) (q^49)))+((2976939 Gamma[3,200 π y])/(2000000 (π^3) (q^50)))+((9 Zeta[3])/(4 (π^3)));
lv3ph2y3e2=-((81 (q^(1/3)))/(16 (π^3)))-((5913 (q^(4/3)))/(1024 (π^3)))-((3483 (q^(7/3)))/(686 (π^3)))-((45927 (q^(10/3)))/(8000 (π^3)))-((89019 (q^(13/3)))/(17576 (π^3)))-((379161 (q^(16/3)))/(65536 (π^3)))-((138915 (q^(19/3)))/(27436 (π^3)))-((242757 (q^(22/3)))/(42592 (π^3)))-((1275831 (q^(25/3)))/(250000 (π^3)))-((254259 (q^(28/3)))/(43904 (π^3)))-((150822 (q^(31/3)))/(29791 (π^3)))-((1791153 (q^(34/3)))/(314432 (π^3)))-((2051487 (q^(37/3)))/(405224 (π^3)))-((597051 (q^(40/3)))/(102400 (π^3)))-((1610037 (q^(43/3)))/(318028 (π^3)))-((1108809 (q^(46/3)))/(194672 (π^3)))-((9557433 (q^(49/3)))/(1882384 (π^3)))-((6498387 (q^(52/3)))/(1124864 (π^3)))-((1699299 (q^(55/3)))/(332750 (π^3)))-((8890155 (q^(58/3)))/(1560896 (π^3)))-((9192771 (q^(61/3)))/(1815848 (π^3)))-((24267033 (q^(64/3)))/(4194304 (π^3)))-((6090471 (q^(67/3)))/(1203052 (π^3)))-((282123 (q^(70/3)))/(49000 (π^3)))-((15755229 (q^(73/3)))/(3112136 (π^3)))-((10140795 (q^(76/3)))/(1755904 (π^3)))-((2496015 (q^(79/3)))/(493039 (π^3)))-((25122069 (q^(82/3)))/(4410944 (π^3)))-((12538071 (q^(85/3)))/(2456500 (π^3)))-((15779205 (q^(88/3)))/(2725888 (π^3)))-((546831 (q^(91/3)))/(107653 (π^3)))-((4730481 (q^(94/3)))/(830584 (π^3)))-((36963297 (q^(97/3)))/(7301384 (π^3)))-((93135663 (q^(100/3)))/(16000000 (π^3)))-((11063871 (q^(103/3)))/(2185454 (π^3)))-((54266031 (q^(106/3)))/(9528128 (π^3)))-((52448715 (q^(109/3)))/(10360232 (π^3)))-((16303923 (q^(112/3)))/(2809856 (π^3)))-((7761663 (q^(115/3)))/(1520875 (π^3)))-((37430505 (q^(118/3)))/(6572128 (π^3)))-((143604333 (q^(121/3)))/(28344976 (π^3)))-((5505003 (q^(124/3)))/(953312 (π^3)))-((10369944 (q^(127/3)))/(2048383 (π^3)))-((50473773 (q^(130/3)))/(8788000 (π^3)))-((34830 (q^(133/3)))/(6859 (π^3)))-((116424945 (q^(136/3)))/(20123648 (π^3)))-((54383805 (q^(139/3)))/(10742476 (π^3)))-((32614731 (q^(142/3)))/(5726576 (π^3)))-((12446217 (q^(145/3)))/(2438900 (π^3)))-((149758551 (q^(148/3)))/(25934336 (π^3)))-((729 Gamma[3,((8 π y)/3)])/(256 (π^3) (q^(2/3))))-((5103 Gamma[3,((20 π y)/3)])/(2000 (π^3) (q^(5/3))))-((47385 Gamma[3,((32 π y)/3)])/(16384 (π^3) (q^(8/3))))-((26973 Gamma[3,((44 π y)/3)])/(10648 (π^3) (q^(11/3))))-((31347 Gamma[3,((56 π y)/3)])/(10976 (π^3) (q^(14/3))))-((199017 Gamma[3,((68 π y)/3)])/(78608 (π^3) (q^(17/3))))-((372519 Gamma[3,((80 π y)/3)])/(128000 (π^3) (q^(20/3))))-((123201 Gamma[3,((92 π y)/3)])/(48668 (π^3) (q^(23/3))))-((801171 Gamma[3,((104 π y)/3)])/(281216 (π^3) (q^(26/3))))-((987795 Gamma[3,((116 π y)/3)])/(390224 (π^3) (q^(29/3))))-((3033369 Gamma[3,((128 π y)/3)])/(1048576 (π^3) (q^(32/3))))-((31347 Gamma[3,((140 π y)/3)])/(12250 (π^3) (q^(35/3))))-((1250235 Gamma[3,((152 π y)/3)])/(438976 (π^3) (q^(38/3))))-((2791341 Gamma[3,((164 π y)/3)])/(1102736 (π^3) (q^(41/3))))-((1969029 Gamma[3,((176 π y)/3)])/(681472 (π^3) (q^(44/3))))-((525609 Gamma[3,((188 π y)/3)])/(207646 (π^3) (q^(47/3))))-((11482479 Gamma[3,((200 π y)/3)])/(4000000 (π^3) (q^(50/3))))-((6029559 Gamma[3,((212 π y)/3)])/(2382032 (π^3) (q^(53/3))))-((2037555 Gamma[3,((224 π y)/3)])/(702464 (π^3) (q^(56/3))))-((4158945 Gamma[3,((236 π y)/3)])/(1643032 (π^3) (q^(59/3))))-((678699 Gamma[3,((248 π y)/3)])/(238328 (π^3) (q^(62/3))))-((5608197 Gamma[3,((260 π y)/3)])/(2197000 (π^3) (q^(65/3))))-((14528241 Gamma[3,((272 π y)/3)])/(5030912 (π^3) (q^(68/3))))-((3623859 Gamma[3,((284 π y)/3)])/(1431644 (π^3) (q^(71/3))))-((18463383 Gamma[3,((296 π y)/3)])/(6483584 (π^3) (q^(74/3))))-((1159839 Gamma[3,((308 π y)/3)])/(456533 (π^3) (q^(77/3))))-((23887143 Gamma[3,((320 π y)/3)])/(8192000 (π^3) (q^(80/3))))-((11578707 Gamma[3,((332 π y)/3)])/(4574296 (π^3) (q^(83/3))))-((14490333 Gamma[3,((344 π y)/3)])/(5088448 (π^3) (q^(86/3))))-((28551285 Gamma[3,((356 π y)/3)])/(11279504 (π^3) (q^(89/3))))-((8993673 Gamma[3,((368 π y)/3)])/(3114752 (π^3) (q^(92/3))))-((1750329 Gamma[3,((380 π y)/3)])/(685900 (π^3) (q^(95/3))))-((86016897 Gamma[3,((392 π y)/3)])/(30118144 (π^3) (q^(98/3))))-((41727231 Gamma[3,((404 π y)/3)])/(16484816 (π^3) (q^(101/3))))-((4005855 Gamma[3,((416 π y)/3)])/(1384448 (π^3) (q^(104/3))))-((24807141 Gamma[3,((428 π y)/3)])/(9800344 (π^3) (q^(107/3))))-((15293691 Gamma[3,((440 π y)/3)])/(5324000 (π^3) (q^(110/3))))-((58437369 Gamma[3,((452 π y)/3)])/(23086352 (π^3) (q^(113/3))))-((72109035 Gamma[3,((464 π y)/3)])/(24974336 (π^3) (q^(116/3))))-((1222533 Gamma[3,((476 π y)/3)])/(481474 (π^3) (q^(119/3))))-((82734939 Gamma[3,((488 π y)/3)])/(29053568 (π^3) (q^(122/3))))-((39869739 Gamma[3,((500 π y)/3)])/(15625000 (π^3) (q^(125/3))))-((194136345 Gamma[3,((512 π y)/3)])/(67108864 (π^3) (q^(128/3))))-((45523863 Gamma[3,((524 π y)/3)])/(17984728 (π^3) (q^(131/3))))-((54814239 Gamma[3,((536 π y)/3)])/(19248832 (π^3) (q^(134/3))))-((104139837 Gamma[3,((548 π y)/3)])/(41141648 (π^3) (q^(137/3))))-((2288331 Gamma[3,((560 π y)/3)])/(784000 (π^3) (q^(140/3))))-((29643327 Gamma[3,((572 π y)/3)])/(11696828 (π^3) (q^(143/3))))-((141797061 Gamma[3,((584 π y)/3)])/(49794176 (π^3) (q^(146/3))))-((133971975 Gamma[3,((596 π y)/3)])/(52927184 (π^3) (q^(149/3))));
lv3ph2y3e3=-((729 (q^(2/3)))/(128 (π^3)))-((5103 (q^(5/3)))/(1000 (π^3)))-((47385 (q^(8/3)))/(8192 (π^3)))-((26973 (q^(11/3)))/(5324 (π^3)))-((31347 (q^(14/3)))/(5488 (π^3)))-((199017 (q^(17/3)))/(39304 (π^3)))-((372519 (q^(20/3)))/(64000 (π^3)))-((123201 (q^(23/3)))/(24334 (π^3)))-((801171 (q^(26/3)))/(140608 (π^3)))-((987795 (q^(29/3)))/(195112 (π^3)))-((3033369 (q^(32/3)))/(524288 (π^3)))-((31347 (q^(35/3)))/(6125 (π^3)))-((1250235 (q^(38/3)))/(219488 (π^3)))-((2791341 (q^(41/3)))/(551368 (π^3)))-((1969029 (q^(44/3)))/(340736 (π^3)))-((525609 (q^(47/3)))/(103823 (π^3)))-((11482479 (q^(50/3)))/(2000000 (π^3)))-((6029559 (q^(53/3)))/(1191016 (π^3)))-((2037555 (q^(56/3)))/(351232 (π^3)))-((4158945 (q^(59/3)))/(821516 (π^3)))-((678699 (q^(62/3)))/(119164 (π^3)))-((5608197 (q^(65/3)))/(1098500 (π^3)))-((14528241 (q^(68/3)))/(2515456 (π^3)))-((3623859 (q^(71/3)))/(715822 (π^3)))-((18463383 (q^(74/3)))/(3241792 (π^3)))-((2319678 (q^(77/3)))/(456533 (π^3)))-((23887143 (q^(80/3)))/(4096000 (π^3)))-((11578707 (q^(83/3)))/(2287148 (π^3)))-((14490333 (q^(86/3)))/(2544224 (π^3)))-((28551285 (q^(89/3)))/(5639752 (π^3)))-((8993673 (q^(92/3)))/(1557376 (π^3)))-((1750329 (q^(95/3)))/(342950 (π^3)))-((86016897 (q^(98/3)))/(15059072 (π^3)))-((41727231 (q^(101/3)))/(8242408 (π^3)))-((4005855 (q^(104/3)))/(692224 (π^3)))-((24807141 (q^(107/3)))/(4900172 (π^3)))-((15293691 (q^(110/3)))/(2662000 (π^3)))-((58437369 (q^(113/3)))/(11543176 (π^3)))-((72109035 (q^(116/3)))/(12487168 (π^3)))-((1222533 (q^(119/3)))/(240737 (π^3)))-((82734939 (q^(122/3)))/(14526784 (π^3)))-((39869739 (q^(125/3)))/(7812500 (π^3)))-((194136345 (q^(128/3)))/(33554432 (π^3)))-((45523863 (q^(131/3)))/(8992364 (π^3)))-((54814239 (q^(134/3)))/(9624416 (π^3)))-((104139837 (q^(137/3)))/(20570824 (π^3)))-((2288331 (q^(140/3)))/(392000 (π^3)))-((29643327 (q^(143/3)))/(5848414 (π^3)))-((141797061 (q^(146/3)))/(24897088 (π^3)))-((133971975 (q^(149/3)))/(26463592 (π^3)))-((81 Gamma[3,((4 π y)/3)])/(32 (π^3) (q^(1/3))))-((5913 Gamma[3,((16 π y)/3)])/(2048 (π^3) (q^(4/3))))-((3483 Gamma[3,((28 π y)/3)])/(1372 (π^3) (q^(7/3))))-((45927 Gamma[3,((40 π y)/3)])/(16000 (π^3) (q^(10/3))))-((89019 Gamma[3,((52 π y)/3)])/(35152 (π^3) (q^(13/3))))-((379161 Gamma[3,((64 π y)/3)])/(131072 (π^3) (q^(16/3))))-((138915 Gamma[3,((76 π y)/3)])/(54872 (π^3) (q^(19/3))))-((242757 Gamma[3,((88 π y)/3)])/(85184 (π^3) (q^(22/3))))-((1275831 Gamma[3,((100 π y)/3)])/(500000 (π^3) (q^(25/3))))-((254259 Gamma[3,((112 π y)/3)])/(87808 (π^3) (q^(28/3))))-((75411 Gamma[3,((124 π y)/3)])/(29791 (π^3) (q^(31/3))))-((1791153 Gamma[3,((136 π y)/3)])/(628864 (π^3) (q^(34/3))))-((2051487 Gamma[3,((148 π y)/3)])/(810448 (π^3) (q^(37/3))))-((597051 Gamma[3,((160 π y)/3)])/(204800 (π^3) (q^(40/3))))-((1610037 Gamma[3,((172 π y)/3)])/(636056 (π^3) (q^(43/3))))-((1108809 Gamma[3,((184 π y)/3)])/(389344 (π^3) (q^(46/3))))-((9557433 Gamma[3,((196 π y)/3)])/(3764768 (π^3) (q^(49/3))))-((6498387 Gamma[3,((208 π y)/3)])/(2249728 (π^3) (q^(52/3))))-((1699299 Gamma[3,((220 π y)/3)])/(665500 (π^3) (q^(55/3))))-((8890155 Gamma[3,((232 π y)/3)])/(3121792 (π^3) (q^(58/3))))-((9192771 Gamma[3,((244 π y)/3)])/(3631696 (π^3) (q^(61/3))))-((24267033 Gamma[3,((256 π y)/3)])/(8388608 (π^3) (q^(64/3))))-((6090471 Gamma[3,((268 π y)/3)])/(2406104 (π^3) (q^(67/3))))-((282123 Gamma[3,((280 π y)/3)])/(98000 (π^3) (q^(70/3))))-((15755229 Gamma[3,((292 π y)/3)])/(6224272 (π^3) (q^(73/3))))-((10140795 Gamma[3,((304 π y)/3)])/(3511808 (π^3) (q^(76/3))))-((2496015 Gamma[3,((316 π y)/3)])/(986078 (π^3) (q^(79/3))))-((25122069 Gamma[3,((328 π y)/3)])/(8821888 (π^3) (q^(82/3))))-((12538071 Gamma[3,((340 π y)/3)])/(4913000 (π^3) (q^(85/3))))-((15779205 Gamma[3,((352 π y)/3)])/(5451776 (π^3) (q^(88/3))))-((546831 Gamma[3,((364 π y)/3)])/(215306 (π^3) (q^(91/3))))-((4730481 Gamma[3,((376 π y)/3)])/(1661168 (π^3) (q^(94/3))))-((36963297 Gamma[3,((388 π y)/3)])/(14602768 (π^3) (q^(97/3))))-((93135663 Gamma[3,((400 π y)/3)])/(32000000 (π^3) (q^(100/3))))-((11063871 Gamma[3,((412 π y)/3)])/(4370908 (π^3) (q^(103/3))))-((54266031 Gamma[3,((424 π y)/3)])/(19056256 (π^3) (q^(106/3))))-((52448715 Gamma[3,((436 π y)/3)])/(20720464 (π^3) (q^(109/3))))-((16303923 Gamma[3,((448 π y)/3)])/(5619712 (π^3) (q^(112/3))))-((7761663 Gamma[3,((460 π y)/3)])/(3041750 (π^3) (q^(115/3))))-((37430505 Gamma[3,((472 π y)/3)])/(13144256 (π^3) (q^(118/3))))-((143604333 Gamma[3,((484 π y)/3)])/(56689952 (π^3) (q^(121/3))))-((5505003 Gamma[3,((496 π y)/3)])/(1906624 (π^3) (q^(124/3))))-((5184972 Gamma[3,((508 π y)/3)])/(2048383 (π^3) (q^(127/3))))-((50473773 Gamma[3,((520 π y)/3)])/(17576000 (π^3) (q^(130/3))))-((17415 Gamma[3,((532 π y)/3)])/(6859 (π^3) (q^(133/3))))-((116424945 Gamma[3,((544 π y)/3)])/(40247296 (π^3) (q^(136/3))))-((54383805 Gamma[3,((556 π y)/3)])/(21484952 (π^3) (q^(139/3))))-((32614731 Gamma[3,((568 π y)/3)])/(11453152 (π^3) (q^(142/3))))-((12446217 Gamma[3,((580 π y)/3)])/(4877800 (π^3) (q^(145/3))))-((149758551 Gamma[3,((592 π y)/3)])/(51868672 (π^3) (q^(148/3))));

weight -4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-4)))=lv3ph4y1

lv3ph4y1=((189 q)/(16 (π^5)))+((6237 (q^2))/(512 (π^5)))+((427 (q^3))/(36 (π^5)))+((199773 (q^4))/(16384 (π^5)))+((295407 (q^5))/(25000 (π^5)))+((4697 (q^6))/(384 (π^5)))+((56727 (q^7))/(4802 (π^5)))+((6392925 (q^8))/(524288 (π^5)))+((415051 (q^9))/(34992 (π^5)))+((9748431 (q^10))/(800000 (π^5)))+((7609707 (q^11))/(644204 (π^5)))+((451339 (q^12))/(36864 (π^5)))+((35087283 (q^13))/(2970344 (π^5)))+((1871991 (q^14))/(153664 (π^5)))+((222467 (q^15))/(18750 (π^5)))+((204573789 (q^16))/(16777216 (π^5)))+((134176581 (q^17))/(11358856 (π^5)))+((4565561 (q^18))/(373248 (π^5)))+((116995725 (q^19))/(9904396 (π^5)))+((312245199 (q^20))/(25600000 (π^5)))+((256322 (q^21))/(21609 (π^5)))+((22829121 (q^22))/(1874048 (π^5)))+((152058627 (q^23))/(12872686 (π^5)))+((4814425 (q^24))/(393216 (π^5)))+((1846293939 (q^25))/(156250000 (π^5)))+((1157880339 (q^26))/(95051008 (π^5)))+((12607175 (q^27))/(1062882 (π^5)))+((8565777 (q^28))/(702464 (π^5)))+((1938303675 (q^29))/(164089192 (π^5)))+((2447137 (q^30))/(200000 (π^5)))+((338181858 (q^31))/(28629151 (π^5)))+((6546361437 (q^32))/(536870912 (π^5)))+((5730767 (q^33))/(483153 (π^5)))+((4427827173 (q^34))/(363483392 (π^5)))+((88664301 (q^35))/(7503125 (π^5)))+((438708907 (q^36))/(35831808 (π^5)))+((6553004031 (q^37))/(554751656 (π^5)))+((3860858925 (q^38))/(316940672 (π^5)))+((79271269 (q^39))/(6683274 (π^5)))+((399685671 (q^40))/(32768000 (π^5)))+((10948411089 (q^41))/(926849608 (π^5)))+((1409771 (q^42))/(115248 (π^5)))+((6946148979 (q^43))/(588033772 (π^5)))+((8043460299 (q^44))/(659664896 (π^5)))+((216241571 (q^45))/(18225000 (π^5)))+((5017934691 (q^46))/(411925952 (π^5)))+((2709137907 (q^47))/(229345007 (π^5)))+((462185227 (q^48))/(37748736 (π^5)))+((7627285539 (q^49))/(645657712 (π^5)))+((60927699987 (q^50))/(5000000000 (π^5)))+((y^5)/5)+((63 Gamma[5,4 π y])/(128 (π^5) q))+((2079 Gamma[5,8 π y])/(4096 (π^5) (q^2)))+((427 Gamma[5,12 π y])/(864 (π^5) (q^3)))+((66591 Gamma[5,16 π y])/(131072 (π^5) (q^4)))+((98469 Gamma[5,20 π y])/(200000 (π^5) (q^5)))+((4697 Gamma[5,24 π y])/(9216 (π^5) (q^6)))+((18909 Gamma[5,28 π y])/(38416 (π^5) (q^7)))+((2130975 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))+((415051 Gamma[5,36 π y])/(839808 (π^5) (q^9)))+((3249477 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))+((2536569 Gamma[5,44 π y])/(5153632 (π^5) (q^11)))+((451339 Gamma[5,48 π y])/(884736 (π^5) (q^12)))+((11695761 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))+((623997 Gamma[5,56 π y])/(1229312 (π^5) (q^14)))+((222467 Gamma[5,60 π y])/(450000 (π^5) (q^15)))+((68191263 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))+((44725527 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))+((4565561 Gamma[5,72 π y])/(8957952 (π^5) (q^18)))+((38998575 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))+((104081733 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))+((128161 Gamma[5,84 π y])/(259308 (π^5) (q^21)))+((7609707 Gamma[5,88 π y])/(14992384 (π^5) (q^22)))+((50686209 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))+((4814425 Gamma[5,96 π y])/(9437184 (π^5) (q^24)))+((615431313 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))+((385960113 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))+((12607175 Gamma[5,108 π y])/(25509168 (π^5) (q^27)))+((2855259 Gamma[5,112 π y])/(5619712 (π^5) (q^28)))+((646101225 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))+((2447137 Gamma[5,120 π y])/(4800000 (π^5) (q^30)))+((56363643 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))+((2182120479 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))+((5730767 Gamma[5,132 π y])/(11595672 (π^5) (q^33)))+((1475942391 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))+((29554767 Gamma[5,140 π y])/(60025000 (π^5) (q^35)))+((438708907 Gamma[5,144 π y])/(859963392 (π^5) (q^36)))+((2184334677 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))+((1286952975 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))+((79271269 Gamma[5,156 π y])/(160398576 (π^5) (q^39)))+((133228557 Gamma[5,160 π y])/(262144000 (π^5) (q^40)))+((3649470363 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))+((1409771 Gamma[5,168 π y])/(2765952 (π^5) (q^42)))+((2315382993 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))+((2681153433 Gamma[5,176 π y])/(5277319168 (π^5) (q^44)))+((216241571 Gamma[5,180 π y])/(437400000 (π^5) (q^45)))+((1672644897 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))+((903045969 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))+((462185227 Gamma[5,192 π y])/(905969664 (π^5) (q^48)))+((2542428513 Gamma[5,196 π y])/(5165261696 (π^5) (q^49)))+((20309233329 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))+((189 Zeta[5])/(16 (π^5)));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-4)))=(lv3ph4y3e1,lv3ph4y3e2,lv3ph4y3e3)

lv3ph4y3e1=-((1647 q)/(416 (π^5)))-((54351 (q^2))/(13312 (π^5)))-((14641 (q^3))/(3744 (π^5)))-((1740879 (q^4))/(425984 (π^5)))-((2574261 (q^5))/(650000 (π^5)))-((161051 (q^6))/(39936 (π^5)))-((3460347 (q^7))/(873964 (π^5)))-((55709775 (q^8))/(13631488 (π^5)))-((3557581 (q^9))/(909792 (π^5)))-((84950613 (q^10))/(20800000 (π^5)))-((66313161 (q^11))/(16749304 (π^5)))-((15475537 (q^12))/(3833856 (π^5)))-((305760609 (q^13))/(77228944 (π^5)))-((114191451 (q^14))/(27966848 (π^5)))-((7627961 (q^15))/(1950000 (π^5)))-((1782714447 (q^16))/(436207616 (π^5)))-((1169253063 (q^17))/(295330256 (π^5)))-((39133391 (q^18))/(9704448 (π^5)))-((1019534175 (q^19))/(257514296 (π^5)))-((2720993877 (q^20))/(665600000 (π^5)))-((30760741 (q^21))/(7865676 (π^5)))-((198939483 (q^22))/(48725248 (π^5)))-((1325082321 (q^23))/(334689836 (π^5)))-((165077275 (q^24))/(40894464 (π^5)))-((16089132897 (q^25))/(4062500000 (π^5)))-((10090100097 (q^26))/(2471326208 (π^5)))-((864492001 (q^27))/(221079456 (π^5)))-((522512397 (q^28))/(127848448 (π^5)))-((16890932025 (q^29))/(4266318992 (π^5)))-((83907571 (q^30))/(20800000 (π^5)))-((1473506667 (q^31))/(372178963 (π^5)))-((57046863951 (q^32))/(13958643712 (π^5)))-((13421 (q^33))/(3432 (π^5)))-((38585351079 (q^34))/(9450568192 (π^5)))-((5408522361 (q^35))/(1365568750 (π^5)))-((3760363117 (q^36))/(931627008 (π^5)))-((57104749413 (q^37))/(14423543056 (π^5)))-((33644627775 (q^38))/(8240457472 (π^5)))-((2718057727 (q^39))/(695060496 (π^5)))-((3482975133 (q^40))/(851968000 (π^5)))-((95407582347 (q^41))/(24098089808 (π^5)))-((338368151 (q^42))/(83900544 (π^5)))-((60530726817 (q^43))/(15288878072 (π^5)))-((70093011177 (q^44))/(17151287296 (π^5)))-((1853499701 (q^45))/(473850000 (π^5)))-((43727716593 (q^46))/(10710074752 (π^5)))-((23608201761 (q^47))/(5962970182 (π^5)))-((15847433041 (q^48))/(3925868544 (π^5)))-((465264417879 (q^49))/(117509703584 (π^5)))-((530941385601 (q^50))/(130000000000 (π^5)))+((y^5)/5)-((549 Gamma[5,4 π y])/(3328 (π^5) q))-((18117 Gamma[5,8 π y])/(106496 (π^5) (q^2)))-((14641 Gamma[5,12 π y])/(89856 (π^5) (q^3)))-((580293 Gamma[5,16 π y])/(3407872 (π^5) (q^4)))-((858087 Gamma[5,20 π y])/(5200000 (π^5) (q^5)))-((161051 Gamma[5,24 π y])/(958464 (π^5) (q^6)))-((1153449 Gamma[5,28 π y])/(6991712 (π^5) (q^7)))-((18569925 Gamma[5,32 π y])/(109051904 (π^5) (q^8)))-((3557581 Gamma[5,36 π y])/(21835008 (π^5) (q^9)))-((28316871 Gamma[5,40 π y])/(166400000 (π^5) (q^10)))-((22104387 Gamma[5,44 π y])/(133994432 (π^5) (q^11)))-((15475537 Gamma[5,48 π y])/(92012544 (π^5) (q^12)))-((101920203 Gamma[5,52 π y])/(617831552 (π^5) (q^13)))-((38063817 Gamma[5,56 π y])/(223734784 (π^5) (q^14)))-((7627961 Gamma[5,60 π y])/(46800000 (π^5) (q^15)))-((594238149 Gamma[5,64 π y])/(3489660928 (π^5) (q^16)))-((389751021 Gamma[5,68 π y])/(2362642048 (π^5) (q^17)))-((39133391 Gamma[5,72 π y])/(232906752 (π^5) (q^18)))-((339844725 Gamma[5,76 π y])/(2060114368 (π^5) (q^19)))-((906997959 Gamma[5,80 π y])/(5324800000 (π^5) (q^20)))-((30760741 Gamma[5,84 π y])/(188776224 (π^5) (q^21)))-((66313161 Gamma[5,88 π y])/(389801984 (π^5) (q^22)))-((441694107 Gamma[5,92 π y])/(2677518688 (π^5) (q^23)))-((165077275 Gamma[5,96 π y])/(981467136 (π^5) (q^24)))-((5363044299 Gamma[5,100 π y])/(32500000000 (π^5) (q^25)))-((3363366699 Gamma[5,104 π y])/(19770609664 (π^5) (q^26)))-((864492001 Gamma[5,108 π y])/(5305906944 (π^5) (q^27)))-((174170799 Gamma[5,112 π y])/(1022787584 (π^5) (q^28)))-((5630310675 Gamma[5,116 π y])/(34130551936 (π^5) (q^29)))-((83907571 Gamma[5,120 π y])/(499200000 (π^5) (q^30)))-((491168889 Gamma[5,124 π y])/(2977431704 (π^5) (q^31)))-((19015621317 Gamma[5,128 π y])/(111669149696 (π^5) (q^32)))-((13421 Gamma[5,132 π y])/(82368 (π^5) (q^33)))-((12861783693 Gamma[5,136 π y])/(75604545536 (π^5) (q^34)))-((1802840787 Gamma[5,140 π y])/(10924550000 (π^5) (q^35)))-((3760363117 Gamma[5,144 π y])/(22359048192 (π^5) (q^36)))-((19034916471 Gamma[5,148 π y])/(115388344448 (π^5) (q^37)))-((11214875925 Gamma[5,152 π y])/(65923659776 (π^5) (q^38)))-((2718057727 Gamma[5,156 π y])/(16681451904 (π^5) (q^39)))-((1160991711 Gamma[5,160 π y])/(6815744000 (π^5) (q^40)))-((31802527449 Gamma[5,164 π y])/(192784718464 (π^5) (q^41)))-((338368151 Gamma[5,168 π y])/(2013613056 (π^5) (q^42)))-((20176908939 Gamma[5,172 π y])/(122311024576 (π^5) (q^43)))-((23364337059 Gamma[5,176 π y])/(137210298368 (π^5) (q^44)))-((1853499701 Gamma[5,180 π y])/(11372400000 (π^5) (q^45)))-((14575905531 Gamma[5,184 π y])/(85680598016 (π^5) (q^46)))-((7869400587 Gamma[5,188 π y])/(47703761456 (π^5) (q^47)))-((15847433041 Gamma[5,192 π y])/(94220845056 (π^5) (q^48)))-((155088139293 Gamma[5,196 π y])/(940077628672 (π^5) (q^49)))-((176980461867 Gamma[5,200 π y])/(1040000000000 (π^5) (q^50)))-((405 Zeta[5])/(104 (π^5)));
lv3ph4y3e2=((6561 (q^(1/3)))/(832 (π^5)))+((6934977 (q^(4/3)))/(851968 (π^5)))+((13784661 (q^(7/3)))/(1747928 (π^5)))+((338409819 (q^(10/3)))/(41600000 (π^5)))+((1218029967 (q^(13/3)))/(154457888 (π^5)))+((7101632961 (q^(16/3)))/(872415232 (π^5)))+((4061423025 (q^(19/3)))/(515028592 (π^5)))+((792496629 (q^(22/3)))/(97450496 (π^5)))+((64092775311 (q^(25/3)))/(8125000000 (π^5)))+((2081483811 (q^(28/3)))/(255696896 (π^5)))+((5869870821 (q^(31/3)))/(744357926 (π^5)))+((153708857577 (q^(34/3)))/(18901136384 (π^5)))+((227482854219 (q^(37/3)))/(28847086112 (π^5)))+((13874802579 (q^(40/3)))/(1703936000 (π^5)))+((241130600271 (q^(43/3)))/(30577756144 (π^5)))+((174194018559 (q^(46/3)))/(21420149504 (π^5)))+((1853430385977 (q^(49/3)))/(235019407168 (π^5)))+((1287457675119 (q^(52/3)))/(158164877312 (π^5)))+((412890743709 (q^(55/3)))/(52341575000 (π^5)))+((2220465309975 (q^(58/3)))/(273044415488 (π^5)))+((2770698168711 (q^(61/3)))/(351352061216 (π^5)))+((7272072368577 (q^(64/3)))/(893353197568 (π^5)))+((2214542708397 (q^(67/3)))/(280826022256 (π^5)))+((710999029719 (q^(70/3)))/(87396400000 (π^5)))+((6800711364117 (q^(73/3)))/(862397782688 (π^5)))+((4292924137425 (q^(76/3)))/(527389278208 (π^5)))+((1261785440025 (q^(79/3)))/(160006932748 (π^5)))+((12542186931813 (q^(82/3)))/(1542277747712 (π^5)))+((7280210436147 (q^(85/3)))/(922907050000 (π^5)))+((812309044725 (q^(88/3)))/(99789307904 (π^5)))+((365582994381 (q^(91/3)))/(46356673636 (π^5)))+((3103510982319 (q^(94/3)))/(381630091648 (π^5)))+((28170769716369 (q^(97/3)))/(3572333546912 (π^5)))+((67746063503727 (q^(100/3)))/(8320000000000 (π^5)))+((731345884821 (q^(103/3)))/(92741925944 (π^5)))+((45272380496211 (q^(106/3)))/(5567018402816 (π^5)))+((50474558843775 (q^(109/3)))/(6400675652384 (π^5)))+((14920530851061 (q^(112/3)))/(1832835350528 (π^5)))+((8250462151749 (q^(115/3)))/(1045905737500 (π^5)))+((38697601241475 (q^(118/3)))/(4758536134144 (π^5)))+((170176499469333 (q^(121/3)))/(21579937268032 (π^5)))+((6204453457797 (q^(124/3)))/(762222516224 (π^5)))+((3386949088842 (q^(127/3)))/(429498802291 (π^5)))+((62824767667893 (q^(130/3)))/(7722894400000 (π^5)))+((8533049775525 (q^(133/3)))/(1082010693218 (π^5)))+((157551579016425 (q^(136/3)))/(19354763657216 (π^5)))+((85110677519175 (q^(139/3)))/(10792879697392 (π^5)))+((48829888711197 (q^(142/3)))/(6004475280128 (π^5)))+((4206772459989 (q^(145/3)))/(533289874000 (π^5)))+((240449376909483 (q^(148/3)))/(29539416178688 (π^5)))+((72171 Gamma[5,((8 π y)/3)])/(212992 (π^5) (q^(2/3))))+((3418281 Gamma[5,((20 π y)/3)])/(10400000 (π^5) (q^(5/3))))+((73975275 Gamma[5,((32 π y)/3)])/(218103808 (π^5) (q^(8/3))))+((88055181 Gamma[5,((44 π y)/3)])/(267988864 (π^5) (q^(11/3))))+((151631271 Gamma[5,((56 π y)/3)])/(447469568 (π^5) (q^(14/3))))+((1552614723 Gamma[5,((68 π y)/3)])/(4725284096 (π^5) (q^(17/3))))+((3613123017 Gamma[5,((80 π y)/3)])/(10649600000 (π^5) (q^(20/3))))+((1759535541 Gamma[5,((92 π y)/3)])/(5355037376 (π^5) (q^(23/3))))+((13398329637 Gamma[5,((104 π y)/3)])/(39541219328 (π^5) (q^(26/3))))+((22428942525 Gamma[5,((116 π y)/3)])/(68261103872 (π^5) (q^(29/3))))+((75750753771 Gamma[5,((128 π y)/3)])/(223338299392 (π^5) (q^(32/3))))+((7181808381 Gamma[5,((140 π y)/3)])/(21849100000 (π^5) (q^(35/3))))+((44675653275 Gamma[5,((152 π y)/3)])/(131847319552 (π^5) (q^(38/3))))+((126688756887 Gamma[5,((164 π y)/3)])/(385569436928 (π^5) (q^(41/3))))+((93074326317 Gamma[5,((176 π y)/3)])/(274420596736 (π^5) (q^(44/3))))+((31348595781 Gamma[5,((188 π y)/3)])/(95407522912 (π^5) (q^(47/3))))+((705020528421 Gamma[5,((200 π y)/3)])/(2080000000000 (π^5) (q^(50/3))))+((457296772689 Gamma[5,((212 π y)/3)])/(1391754600704 (π^5) (q^(53/3))))+((155422052775 Gamma[5,((224 π y)/3)])/(458208837632 (π^5) (q^(56/3))))+((390884861025 Gamma[5,((236 π y)/3)])/(1189634033536 (π^5) (q^(59/3))))+((64568579031 Gamma[5,((248 π y)/3)])/(190555629056 (π^5) (q^(62/3))))+((634593612807 Gamma[5,((260 π y)/3)])/(1930723600000 (π^5) (q^(65/3))))+((1641113762211 Gamma[5,((272 π y)/3)])/(4838690914304 (π^5) (q^(68/3))))+((493231199103 Gamma[5,((284 π y)/3)])/(1501118820032 (π^5) (q^(71/3))))+((2502311396409 Gamma[5,((296 π y)/3)])/(7384854044672 (π^5) (q^(74/3))))+((16818539571 Gamma[5,((308 π y)/3)])/(51182827696 (π^5) (q^(77/3))))+((3699950772681 Gamma[5,((320 π y)/3)])/(10905190400000 (π^5) (q^(80/3))))+((2153670472107 Gamma[5,((332 π y)/3)])/(6554563629952 (π^5) (q^(83/3))))+((2652436602981 Gamma[5,((344 π y)/3)])/(7827905572864 (π^5) (q^(86/3))))+((6106169008575 Gamma[5,((356 π y)/3)])/(18583749846272 (π^5) (q^(89/3))))+((1859829066837 Gamma[5,((368 π y)/3)])/(5483558273024 (π^5) (q^(92/3))))+((84640055841 Gamma[5,((380 π y)/3)])/(257514296000 (π^5) (q^(95/3))))+((20387734245747 Gamma[5,((392 π y)/3)])/(60164968235008 (π^5) (q^(98/3))))+((11492794898937 Gamma[5,((404 π y)/3)])/(34977614467328 (π^5) (q^(101/3))))+((13733287877925 Gamma[5,((416 π y)/3)])/(40490208591872 (π^5) (q^(104/3))))+((7668451588149 Gamma[5,((428 π y)/3)])/(23338460798848 (π^5) (q^(107/3))))+((412890743709 Gamma[5,((440 π y)/3)])/(1218131200000 (π^5) (q^(110/3))))+((20147028686739 Gamma[5,((452 π y)/3)])/(61316242767104 (π^5) (q^(113/3))))+((23707392248925 Gamma[5,((464 π y)/3)])/(69899370364928 (π^5) (q^(116/3))))+((3262043533023 Gamma[5,((476 π y)/3)])/(9927231225184 (π^5) (q^(119/3))))+((30477679855821 Gamma[5,((488 π y)/3)])/(89946127671296 (π^5) (q^(122/3))))+((1283909761881 Gamma[5,((500 π y)/3)])/(3906250000000 (π^5) (q^(125/3))))+((77568771933675 Gamma[5,((512 π y)/3)])/(228698418577408 (π^5) (q^(128/3))))+((21093335967231 Gamma[5,((524 π y)/3)])/(64196270779264 (π^5) (q^(131/3))))+((24359969792367 Gamma[5,((536 π y)/3)])/(71891461697536 (π^5) (q^(134/3))))+((52774195694823 Gamma[5,((548 π y)/3)])/(160615018992896 (π^5) (q^(137/3))))+((1084453065531 Gamma[5,((560 π y)/3)])/(3196211200000 (π^5) (q^(140/3))))+((1486107289737 Gamma[5,((572 π y)/3)])/(4522835876416 (π^5) (q^(143/3))))+((74807825005287 Gamma[5,((584 π y)/3)])/(220773832368128 (π^5) (q^(146/3))))+((80306394782625 Gamma[5,((596 π y)/3)])/(244407573692672 (π^5) (q^(149/3))));
lv3ph4y3e3=((216513 (q^(2/3)))/(26624 (π^5)))+((10254843 (q^(5/3)))/(1300000 (π^5)))+((221925825 (q^(8/3)))/(27262976 (π^5)))+((264165543 (q^(11/3)))/(33498608 (π^5)))+((454893813 (q^(14/3)))/(55933696 (π^5)))+((4657844169 (q^(17/3)))/(590660512 (π^5)))+((10839369051 (q^(20/3)))/(1331200000 (π^5)))+((5278606623 (q^(23/3)))/(669379672 (π^5)))+((40194988911 (q^(26/3)))/(4942652416 (π^5)))+((67286827575 (q^(29/3)))/(8532637984 (π^5)))+((227252261313 (q^(32/3)))/(27917287424 (π^5)))+((21545425143 (q^(35/3)))/(2731137500 (π^5)))+((134026959825 (q^(38/3)))/(16480914944 (π^5)))+((380066270661 (q^(41/3)))/(48196179616 (π^5)))+((279222978951 (q^(44/3)))/(34302574592 (π^5)))+((94045787343 (q^(47/3)))/(11925940364 (π^5)))+((2115061585263 (q^(50/3)))/(260000000000 (π^5)))+((1371890318067 (q^(53/3)))/(173969325088 (π^5)))+((466266158325 (q^(56/3)))/(57276104704 (π^5)))+((1172654583075 (q^(59/3)))/(148704254192 (π^5)))+((193705737093 (q^(62/3)))/(23819453632 (π^5)))+((1903780838421 (q^(65/3)))/(241340450000 (π^5)))+((4923341286633 (q^(68/3)))/(604836364288 (π^5)))+((1479693597309 (q^(71/3)))/(187639852504 (π^5)))+((7506934189227 (q^(74/3)))/(923106755584 (π^5)))+((50455618713 (q^(77/3)))/(6397853462 (π^5)))+((11099852318043 (q^(80/3)))/(1363148800000 (π^5)))+((6461011416321 (q^(83/3)))/(819320453744 (π^5)))+((7957309808943 (q^(86/3)))/(978488196608 (π^5)))+((18318507025725 (q^(89/3)))/(2322968730784 (π^5)))+((5579487200511 (q^(92/3)))/(685444784128 (π^5)))+((253920167523 (q^(95/3)))/(32189287000 (π^5)))+((61163202737241 (q^(98/3)))/(7520621029376 (π^5)))+((34478384696811 (q^(101/3)))/(4372201808416 (π^5)))+((41199863633775 (q^(104/3)))/(5061276073984 (π^5)))+((23005354764447 (q^(107/3)))/(2917307599856 (π^5)))+((1238672231127 (q^(110/3)))/(152266400000 (π^5)))+((60441086060217 (q^(113/3)))/(7664530345888 (π^5)))+((71122176746775 (q^(116/3)))/(8737421295616 (π^5)))+((9786130599069 (q^(119/3)))/(1240903903148 (π^5)))+((91433039567463 (q^(122/3)))/(11243265958912 (π^5)))+((3851729285643 (q^(125/3)))/(488281250000 (π^5)))+((232706315801025 (q^(128/3)))/(28587302322176 (π^5)))+((63280007901693 (q^(131/3)))/(8024533847408 (π^5)))+((73079909377101 (q^(134/3)))/(8986432712192 (π^5)))+((158322587084469 (q^(137/3)))/(20076877374112 (π^5)))+((3253359196593 (q^(140/3)))/(399526400000 (π^5)))+((4458321869211 (q^(143/3)))/(565354484552 (π^5)))+((224423475015861 (q^(146/3)))/(27596729046016 (π^5)))+((240919184347875 (q^(149/3)))/(30550946711584 (π^5)))+((2187 Gamma[5,((4 π y)/3)])/(6656 (π^5) (q^(1/3))))+((2311659 Gamma[5,((16 π y)/3)])/(6815744 (π^5) (q^(4/3))))+((4594887 Gamma[5,((28 π y)/3)])/(13983424 (π^5) (q^(7/3))))+((112803273 Gamma[5,((40 π y)/3)])/(332800000 (π^5) (q^(10/3))))+((406009989 Gamma[5,((52 π y)/3)])/(1235663104 (π^5) (q^(13/3))))+((2367210987 Gamma[5,((64 π y)/3)])/(6979321856 (π^5) (q^(16/3))))+((1353807675 Gamma[5,((76 π y)/3)])/(4120228736 (π^5) (q^(19/3))))+((264165543 Gamma[5,((88 π y)/3)])/(779603968 (π^5) (q^(22/3))))+((21364258437 Gamma[5,((100 π y)/3)])/(65000000000 (π^5) (q^(25/3))))+((693827937 Gamma[5,((112 π y)/3)])/(2045575168 (π^5) (q^(28/3))))+((1956623607 Gamma[5,((124 π y)/3)])/(5954863408 (π^5) (q^(31/3))))+((51236285859 Gamma[5,((136 π y)/3)])/(151209091072 (π^5) (q^(34/3))))+((75827618073 Gamma[5,((148 π y)/3)])/(230776688896 (π^5) (q^(37/3))))+((4624934193 Gamma[5,((160 π y)/3)])/(13631488000 (π^5) (q^(40/3))))+((80376866757 Gamma[5,((172 π y)/3)])/(244622049152 (π^5) (q^(43/3))))+((58064672853 Gamma[5,((184 π y)/3)])/(171361196032 (π^5) (q^(46/3))))+((617810128659 Gamma[5,((196 π y)/3)])/(1880155257344 (π^5) (q^(49/3))))+((429152558373 Gamma[5,((208 π y)/3)])/(1265319018496 (π^5) (q^(52/3))))+((137630247903 Gamma[5,((220 π y)/3)])/(418732600000 (π^5) (q^(55/3))))+((740155103325 Gamma[5,((232 π y)/3)])/(2184355323904 (π^5) (q^(58/3))))+((923566056237 Gamma[5,((244 π y)/3)])/(2810816489728 (π^5) (q^(61/3))))+((2424024122859 Gamma[5,((256 π y)/3)])/(7146825580544 (π^5) (q^(64/3))))+((738180902799 Gamma[5,((268 π y)/3)])/(2246608178048 (π^5) (q^(67/3))))+((236999676573 Gamma[5,((280 π y)/3)])/(699171200000 (π^5) (q^(70/3))))+((2266903788039 Gamma[5,((292 π y)/3)])/(6899182261504 (π^5) (q^(73/3))))+((1430974712475 Gamma[5,((304 π y)/3)])/(4219114225664 (π^5) (q^(76/3))))+((420595146675 Gamma[5,((316 π y)/3)])/(1280055461984 (π^5) (q^(79/3))))+((4180728977271 Gamma[5,((328 π y)/3)])/(12338221981696 (π^5) (q^(82/3))))+((2426736812049 Gamma[5,((340 π y)/3)])/(7383256400000 (π^5) (q^(85/3))))+((270769681575 Gamma[5,((352 π y)/3)])/(798314463232 (π^5) (q^(88/3))))+((121860998127 Gamma[5,((364 π y)/3)])/(370853389088 (π^5) (q^(91/3))))+((1034503660773 Gamma[5,((376 π y)/3)])/(3053040733184 (π^5) (q^(94/3))))+((9390256572123 Gamma[5,((388 π y)/3)])/(28578668375296 (π^5) (q^(97/3))))+((22582021167909 Gamma[5,((400 π y)/3)])/(66560000000000 (π^5) (q^(100/3))))+((243781961607 Gamma[5,((412 π y)/3)])/(741935407552 (π^5) (q^(103/3))))+((15090793498737 Gamma[5,((424 π y)/3)])/(44536147222528 (π^5) (q^(106/3))))+((16824852947925 Gamma[5,((436 π y)/3)])/(51205405219072 (π^5) (q^(109/3))))+((4973510283687 Gamma[5,((448 π y)/3)])/(14662682804224 (π^5) (q^(112/3))))+((2750154050583 Gamma[5,((460 π y)/3)])/(8367245900000 (π^5) (q^(115/3))))+((12899200413825 Gamma[5,((472 π y)/3)])/(38068289073152 (π^5) (q^(118/3))))+((56725499823111 Gamma[5,((484 π y)/3)])/(172639498144256 (π^5) (q^(121/3))))+((2068151152599 Gamma[5,((496 π y)/3)])/(6097780129792 (π^5) (q^(124/3))))+((564491514807 Gamma[5,((508 π y)/3)])/(1717995209164 (π^5) (q^(127/3))))+((20941589222631 Gamma[5,((520 π y)/3)])/(61783155200000 (π^5) (q^(130/3))))+((2844349925175 Gamma[5,((532 π y)/3)])/(8656085545744 (π^5) (q^(133/3))))+((52517193005475 Gamma[5,((544 π y)/3)])/(154838109257728 (π^5) (q^(136/3))))+((28370225839725 Gamma[5,((556 π y)/3)])/(86343037579136 (π^5) (q^(139/3))))+((16276629570399 Gamma[5,((568 π y)/3)])/(48035802241024 (π^5) (q^(142/3))))+((1402257486663 Gamma[5,((580 π y)/3)])/(4266318992000 (π^5) (q^(145/3))))+((80149792303161 Gamma[5,((592 π y)/3)])/(236315329429504 (π^5) (q^(148/3))));

(Subscript[Γ, 4])≅(Subscript[S, 4])

weight 2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((2)))=(Subscript[E, 2]^( * ))=lv4wt2y1

lv4wt2y1=1-(3/(π*y))-24 q-72 (q^2)-96 (q^3)-168 (q^4)-144 (q^5)-288 (q^6)-192 (q^7)-360 (q^8)-312 (q^9)-432 (q^10)-288 (q^11)-672 (q^12)-336 (q^13)-576 (q^14)-576 (q^15)-744 (q^16)-432 (q^17)-936 (q^18)-480 (q^19)-1008 (q^20)-768 (q^21)-864 (q^22)-576 (q^23)-1440 (q^24)-744 (q^25)-1008 (q^26)-960 (q^27)-1344 (q^28)-720 (q^29)-1728 (q^30)-768 (q^31)-1512 (q^32)-1152 (q^33)-1296 (q^34)-1152 (q^35)-2184 (q^36)-912 (q^37)-1440 (q^38)-1344 (q^39)-2160 (q^40)-1008 (q^41)-2304 (q^42)-1056 (q^43)-2016 (q^44)-1872 (q^45)-1728 (q^46)-1152 (q^47)-2976 (q^48)-1368 (q^49)-2232 (q^50);

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((2)))=(lv4wt2y2e1,lv4wt2y2e2)

lv4wt2y2e1=1+24 q+24 (q^2)+96 (q^3)+24 (q^4)+144 (q^5)+96 (q^6)+192 (q^7)+24 (q^8)+312 (q^9)+144 (q^10)+288 (q^11)+96 (q^12)+336 (q^13)+192 (q^14)+576 (q^15)+24 (q^16)+432 (q^17)+312 (q^18)+480 (q^19)+144 (q^20)+768 (q^21)+288 (q^22)+576 (q^23)+96 (q^24)+744 (q^25)+336 (q^26)+960 (q^27)+192 (q^28)+720 (q^29)+576 (q^30)+768 (q^31)+24 (q^32)+1152 (q^33)+432 (q^34)+1152 (q^35)+312 (q^36)+912 (q^37)+480 (q^38)+1344 (q^39)+144 (q^40)+1008 (q^41)+768 (q^42)+1056 (q^43)+288 (q^44)+1872 (q^45)+576 (q^46)+1152 (q^47)+96 (q^48)+1368 (q^49)+744 (q^50);
lv4wt2y2e2=-8 (Sqrt[3]) (Sqrt[q]) (1+4 q+6 (q^2)+8 (q^3)+13 (q^4)+12 (q^5)+14 (q^6)+24 (q^7)+18 (q^8)+20 (q^9)+32 (q^10)+24 (q^11)+31 (q^12)+40 (q^13)+30 (q^14)+32 (q^15)+48 (q^16)+48 (q^17)+38 (q^18)+56 (q^19)+42 (q^20)+44 (q^21)+78 (q^22)+48 (q^23)+57 (q^24)+72 (q^25)+54 (q^26)+72 (q^27)+80 (q^28)+60 (q^29)+62 (q^30)+104 (q^31)+84 (q^32)+68 (q^33)+96 (q^34)+72 (q^35)+74 (q^36)+124 (q^37)+96 (q^38)+80 (q^39)+121 (q^40)+84 (q^41)+108 (q^42)+120 (q^43)+90 (q^44)+112 (q^45)+128 (q^46)+120 (q^47)+98 (q^48)+156 (q^49));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((2)))=(lv4wt2y3e1,lv4wt2y3e2,lv4wt2y3e3)

lv4wt2y3e1=1-8 q+24 (q^2)-32 (q^3)+24 (q^4)-48 (q^5)+96 (q^6)-64 (q^7)+24 (q^8)-104 (q^9)+144 (q^10)-96 (q^11)+96 (q^12)-112 (q^13)+192 (q^14)-192 (q^15)+24 (q^16)-144 (q^17)+312 (q^18)-160 (q^19)+144 (q^20)-256 (q^21)+288 (q^22)-192 (q^23)+96 (q^24)-248 (q^25)+336 (q^26)-320 (q^27)+192 (q^28)-240 (q^29)+576 (q^30)-256 (q^31)+24 (q^32)-384 (q^33)+432 (q^34)-384 (q^35)+312 (q^36)-304 (q^37)+480 (q^38)-448 (q^39)+144 (q^40)-336 (q^41)+768 (q^42)-352 (q^43)+288 (q^44)-624 (q^45)+576 (q^46)-384 (q^47)+96 (q^48)-456 (q^49)+744 (q^50);
lv4wt2y3e2=-4 (Sqrt[2]) (q^(1/4)) (1+6 q+13 (q^2)+14 (q^3)+18 (q^4)+32 (q^5)+31 (q^6)+30 (q^7)+48 (q^8)+38 (q^9)+42 (q^10)+78 (q^11)+57 (q^12)+54 (q^13)+80 (q^14)+62 (q^15)+84 (q^16)+96 (q^17)+74 (q^18)+96 (q^19)+121 (q^20)+108 (q^21)+90 (q^22)+128 (q^23)+98 (q^24)+102 (q^25)+192 (q^26)+110 (q^27)+114 (q^28)+182 (q^29)+133 (q^30)+156 (q^31)+176 (q^32)+160 (q^33)+138 (q^34)+192 (q^35)+180 (q^36)+150 (q^37)+234 (q^38)+158 (q^39)+192 (q^40)+288 (q^41)+183 (q^42)+174 (q^43)+240 (q^44)+182 (q^45)+228 (q^46)+320 (q^47)+194 (q^48)+198 (q^49));
lv4wt2y3e3=-16 (Sqrt[2]) (q^(3/4)) (1+2 q+3 (q^2)+6 (q^3)+5 (q^4)+6 (q^5)+10 (q^6)+8 (q^7)+12 (q^8)+14 (q^9)+11 (q^10)+12 (q^11)+18 (q^12)+18 (q^13)+15 (q^14)+26 (q^15)+17 (q^16)+18 (q^17)+31 (q^18)+20 (q^19)+21 (q^20)+30 (q^21)+28 (q^22)+30 (q^23)+39 (q^24)+26 (q^25)+27 (q^26)+38 (q^27)+36 (q^28)+36 (q^29)+42 (q^30)+32 (q^31)+33 (q^32)+60 (q^33)+35 (q^34)+42 (q^35)+57 (q^36)+38 (q^37)+48 (q^38)+54 (q^39)+41 (q^40)+42 (q^41)+65 (q^42)+62 (q^43)+45 (q^44)+62 (q^45)+54 (q^46)+48 (q^47)+84 (q^48)+50 (q^49));

weight 4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((4)))=lv4wt4y1

lv4wt4y1=1+240 q+2160 (q^2)+6720 (q^3)+17520 (q^4)+30240 (q^5)+60480 (q^6)+82560 (q^7)+140400 (q^8)+181680 (q^9)+272160 (q^10)+319680 (q^11)+490560 (q^12)+527520 (q^13)+743040 (q^14)+846720 (q^15)+1123440 (q^16)+1179360 (q^17)+1635120 (q^18)+1646400 (q^19)+2207520 (q^20)+2311680 (q^21)+2877120 (q^22)+2920320 (q^23)+3931200 (q^24)+3780240 (q^25)+4747680 (q^26)+4905600 (q^27)+6026880 (q^28)+5853600 (q^29)+7620480 (q^30)+7150080 (q^31)+8987760 (q^32)+8951040 (q^33)+10614240 (q^34)+10402560 (q^35)+13262640 (q^36)+12156960 (q^37)+14817600 (q^38)+14770560 (q^39)+17690400 (q^40)+16541280 (q^41)+20805120 (q^42)+19081920 (q^43)+23336640 (q^44)+22891680 (q^45)+26282880 (q^46)+24917760 (q^47)+31456320 (q^48)+28318320 (q^49)+34022160 (q^50);

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((4)))=(lv4wt4y2e1,lv4wt4y2e2)

lv4wt4y2e1=1-144 q-912 (q^2)-4032 (q^3)-7056 (q^4)-18144 (q^5)-25536 (q^6)-49536 (q^7)-56208 (q^8)-109008 (q^9)-114912 (q^10)-191808 (q^11)-197568 (q^12)-316512 (q^13)-313728 (q^14)-508032 (q^15)-449424 (q^16)-707616 (q^17)-690384 (q^18)-987840 (q^19)-889056 (q^20)-1387008 (q^21)-1214784 (q^22)-1752192 (q^23)-1573824 (q^24)-2268144 (q^25)-2004576 (q^26)-2943360 (q^27)-2427264 (q^28)-3512160 (q^29)-3217536 (q^30)-4290048 (q^31)-3595152 (q^32)-5370624 (q^33)-4481568 (q^34)-6241536 (q^35)-5341392 (q^36)-7294176 (q^37)-6256320 (q^38)-8862336 (q^39)-7082208 (q^40)-9924768 (q^41)-8784384 (q^42)-11449152 (q^43)-9398592 (q^44)-13735008 (q^45)-11097216 (q^46)-14950656 (q^47)-12583872 (q^48)-16990992 (q^49)-14364912 (q^50);
lv4wt4y2e2=16 (Sqrt[3]) (Sqrt[q]) (1+28 q+126 (q^2)+344 (q^3)+757 (q^4)+1332 (q^5)+2198 (q^6)+3528 (q^7)+4914 (q^8)+6860 (q^9)+9632 (q^10)+12168 (q^11)+15751 (q^12)+20440 (q^13)+24390 (q^14)+29792 (q^15)+37296 (q^16)+43344 (q^17)+50654 (q^18)+61544 (q^19)+68922 (q^20)+79508 (q^21)+95382 (q^22)+103824 (q^23)+117993 (q^24)+137592 (q^25)+148878 (q^26)+167832 (q^27)+192080 (q^28)+205380 (q^29)+226982 (q^30)+260408 (q^31)+276948 (q^32)+300764 (q^33)+340704 (q^34)+357912 (q^35)+389018 (q^36)+441028 (q^37)+458208 (q^38)+493040 (q^39)+551881 (q^40)+571788 (q^41)+619164 (q^42)+682920 (q^43)+704970 (q^44)+756112 (q^45)+834176 (q^46)+864360 (q^47)+912674 (q^48)+1008324 (q^49));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((4)))=(lv4wt4y3e1,lv4wt4y3e2,lv4wt4y3e3)

lv4wt4y3e1=1+16 q-144 (q^2)+448 (q^3)-912 (q^4)+2016 (q^5)-4032 (q^6)+5504 (q^7)-7056 (q^8)+12112 (q^9)-18144 (q^10)+21312 (q^11)-25536 (q^12)+35168 (q^13)-49536 (q^14)+56448 (q^15)-56208 (q^16)+78624 (q^17)-109008 (q^18)+109760 (q^19)-114912 (q^20)+154112 (q^21)-191808 (q^22)+194688 (q^23)-197568 (q^24)+252016 (q^25)-316512 (q^26)+327040 (q^27)-313728 (q^28)+390240 (q^29)-508032 (q^30)+476672 (q^31)-449424 (q^32)+596736 (q^33)-707616 (q^34)+693504 (q^35)-690384 (q^36)+810464 (q^37)-987840 (q^38)+984704 (q^39)-889056 (q^40)+1102752 (q^41)-1387008 (q^42)+1272128 (q^43)-1214784 (q^44)+1526112 (q^45)-1752192 (q^46)+1661184 (q^47)-1573824 (q^48)+1887888 (q^49)-2268144 (q^50);
lv4wt4y3e2=2 (Sqrt[2]) (q^(1/4)) (1+126 q+757 (q^2)+2198 (q^3)+4914 (q^4)+9632 (q^5)+15751 (q^6)+24390 (q^7)+37296 (q^8)+50654 (q^9)+68922 (q^10)+95382 (q^11)+117993 (q^12)+148878 (q^13)+192080 (q^14)+226982 (q^15)+276948 (q^16)+340704 (q^17)+389018 (q^18)+458208 (q^19)+551881 (q^20)+619164 (q^21)+704970 (q^22)+834176 (q^23)+912674 (q^24)+1030302 (q^25)+1213632 (q^26)+1295030 (q^27)+1442898 (q^28)+1663886 (q^29)+1772893 (q^30)+1968876 (q^31)+2226224 (q^32)+2359840 (q^33)+2571354 (q^34)+2907072 (q^35)+3073140 (q^36)+3307950 (q^37)+3719898 (q^38)+3869894 (q^39)+4185792 (q^40)+4699296 (q^41)+4829007 (q^42)+5177718 (q^43)+5750640 (q^44)+5929742 (q^45)+6382404 (q^46)+7031360 (q^47)+7189058 (q^48)+7645374 (q^49));
lv4wt4y3e3=8 (Sqrt[2]) (q^(3/4)) (7+86 q+333 (q^2)+882 (q^3)+1715 (q^4)+3042 (q^5)+5110 (q^6)+7448 (q^7)+10836 (q^8)+15386 (q^9)+19877 (q^10)+25956 (q^11)+34398 (q^12)+41958 (q^13)+51345 (q^14)+65102 (q^15)+75191 (q^16)+89478 (q^17)+110257 (q^18)+123260 (q^19)+142947 (q^20)+170730 (q^21)+189028 (q^22)+216090 (q^23)+252081 (q^24)+273182 (q^25)+306261 (q^26)+354578 (q^27)+383292 (q^28)+422604 (q^29)+482454 (q^30)+512096 (q^31)+562023 (q^32)+643860 (q^33)+671405 (q^34)+731934 (q^35)+825951 (q^36)+860738 (q^37)+938448 (q^38)+1042146 (q^39)+1082687 (q^40)+1164366 (q^41)+1298255 (q^42)+1354586 (q^43)+1433835 (q^44)+1588874 (q^45)+1636362 (q^46)+1741968 (q^47)+1938636 (q^48)+1970150 (q^49));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((4)))=(lv4wt4y3pe1,lv4wt4y3pe2,lv4wt4y3pe3)

lv4wt4y3pe1=8 (Sqrt[3]) (Sqrt[q]) (1-4 q-2 (q^2)+24 (q^3)-11 (q^4)-44 (q^5)+22 (q^6)+8 (q^7)+50 (q^8)+44 (q^9)-96 (q^10)-56 (q^11)-121 (q^12)+152 (q^13)+198 (q^14)-160 (q^15)+176 (q^16)-48 (q^17)-162 (q^18)-88 (q^19)-198 (q^20)+52 (q^21)+22 (q^22)+528 (q^23)+233 (q^24)-200 (q^25)-242 (q^26)+88 (q^27)-176 (q^28)-668 (q^29)+550 (q^30)-264 (q^31)-44 (q^32)+188 (q^33)+224 (q^34)+728 (q^35)+154 (q^36)+484 (q^37)-1056 (q^38)-656 (q^39)-311 (q^40)+236 (q^41)-100 (q^42)-792 (q^43)+714 (q^44)+528 (q^45)+640 (q^46)-88 (q^47)-478 (q^48)+484 (q^49));
lv4wt4y3pe2=-8 (Sqrt[6]) (q^(3/4)) (-1+6 q-11 (q^2)+2 (q^3)+11 (q^4)-14 (q^5)+38 (q^6)-40 (q^7)-12 (q^8)-22 (q^9)+13 (q^10)+132 (q^11)-50 (q^12)+22 (q^13)-167 (q^14)-66 (q^15)+47 (q^16)+182 (q^17)+121 (q^18)-164 (q^19)+59 (q^20)-198 (q^21)+132 (q^22)-22 (q^23)+121 (q^24)-242 (q^25)-195 (q^26)+162 (q^27)+28 (q^28)+300 (q^29)+198 (q^30)+352 (q^31)-673 (q^32)-76 (q^33)-171 (q^34)-242 (q^35)-233 (q^36)+338 (q^37)+80 (q^38)+242 (q^39)+759 (q^40)-66 (q^41)-121 (q^42)-726 (q^43)+771 (q^44)-550 (q^45)-550 (q^46)-240 (q^47)+44 (q^48)+22 (q^49));
lv4wt4y3pe3=-2 (Sqrt[6]) (q^(1/4)) (1-2 q-11 (q^2)+22 (q^3)+50 (q^4)-96 (q^5)-121 (q^6)+198 (q^7)+176 (q^8)-162 (q^9)-198 (q^10)+22 (q^11)+233 (q^12)-242 (q^13)-176 (q^14)+550 (q^15)-44 (q^16)+224 (q^17)+154 (q^18)-1056 (q^19)-311 (q^20)-100 (q^21)+714 (q^22)+640 (q^23)-478 (q^24)+1566 (q^25)+192 (q^26)-1994 (q^27)-942 (q^28)-242 (q^29)+605 (q^30)+492 (q^31)-208 (q^32)+1056 (q^33)+1626 (q^34)-2112 (q^35)-396 (q^36)+302 (q^37)-550 (q^38)+3142 (q^39)-1344 (q^40)-352 (q^41)-1713 (q^42)-2826 (q^43)+2672 (q^44)-2418 (q^45)+324 (q^46)+3648 (q^47)+2882 (q^48)+1086 (q^49));

weight 6

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((6)))=lv4wt6y1

lv4wt6y1=1-504 q-16632 (q^2)-122976 (q^3)-532728 (q^4)-1575504 (q^5)-4058208 (q^6)-8471232 (q^7)-17047800 (q^8)-29883672 (q^9)-51991632 (q^10)-81170208 (q^11)-129985632 (q^12)-187132176 (q^13)-279550656 (q^14)-384422976 (q^15)-545530104 (q^16)-715608432 (q^17)-986161176 (q^18)-1247954400 (q^19)-1665307728 (q^20)-2066980608 (q^21)-2678616864 (q^22)-3243917376 (q^23)-4159663200 (q^24)-4923450504 (q^25)-6175361808 (q^26)-7261732800 (q^27)-8954092224 (q^28)-10337619600 (q^29)-12685958208 (q^30)-14429092608 (q^31)-17456963832 (q^32)-19805530752 (q^33)-23615078256 (q^34)-26481071232 (q^35)-31587041304 (q^36)-34949354832 (q^37)-41182495200 (q^38)-45660250944 (q^39)-53291422800 (q^40)-58391525808 (q^41)-68210360064 (q^42)-74092255776 (q^43)-85796909856 (q^44)-93416358672 (q^45)-107049273408 (q^46)-115589884032 (q^47)-133109345376 (q^48)-142375996728 (q^49)-162473866632 (q^50);

(Subscript[ρ, r])=1'

(Subscript[Y, 1']^((6)))=lv4wt6y1p

lv4wt6y1p=-4 (Sqrt[q]) (-1+12 q-54 (q^2)+88 (q^3)+99 (q^4)-540 (q^5)+418 (q^6)+648 (q^7)-594 (q^8)-836 (q^9)-1056 (q^10)+4104 (q^11)+209 (q^12)-4104 (q^13)+594 (q^14)-4256 (q^15)+6480 (q^16)+4752 (q^17)+298 (q^18)-5016 (q^19)-17226 (q^20)+12100 (q^21)+5346 (q^22)+1296 (q^23)+9063 (q^24)+7128 (q^25)-19494 (q^26)-29160 (q^27)+10032 (q^28)+7668 (q^29)+34738 (q^30)-8712 (q^31)+22572 (q^32)-21812 (q^33)-49248 (q^34)+46872 (q^35)-67562 (q^36)-2508 (q^37)+47520 (q^38)+76912 (q^39)+25191 (q^40)-67716 (q^41)-32076 (q^42)-7128 (q^43)-29754 (q^44)-36784 (q^45)+51072 (q^46)-45144 (q^47)+122398 (q^48)+53460 (q^49));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((6)))=(lv4wt6y2e1,lv4wt6y2e2)

lv4wt6y2e1=1+264 q+7944 (q^2)+64416 (q^3)+253704 (q^4)+825264 (q^5)+1938336 (q^6)+4437312 (q^7)+8118024 (q^8)+15653352 (q^9)+24832944 (q^10)+42517728 (q^11)+61903776 (q^12)+98021616 (q^13)+133522752 (q^14)+201364416 (q^15)+259776264 (q^16)+374842512 (q^17)+471023592 (q^18)+653690400 (q^19)+793078704 (q^20)+1082704128 (q^21)+1279397088 (q^22)+1699194816 (q^23)+1980797856 (q^24)+2578950264 (q^25)+2949559536 (q^26)+3803764800 (q^27)+4264256832 (q^28)+5414943600 (q^29)+6059238336 (q^30)+7558096128 (q^31)+8312839944 (q^32)+10374325632 (q^33)+11279351952 (q^34)+13871037312 (q^35)+15042871272 (q^36)+18306804912 (q^37)+19670138400 (q^38)+23917274304 (q^39)+25376943024 (q^40)+30586037328 (q^41)+32579551488 (q^42)+38810229216 (q^43)+40859536608 (q^44)+48932378352 (q^45)+51130316736 (q^46)+60547082112 (q^47)+63385408416 (q^48)+74577903048 (q^49)+77602957944 (q^50);
lv4wt6y2e2=-8 (Sqrt[3]) (Sqrt[q]) (1+244 q+3126 (q^2)+16808 (q^3)+59293 (q^4)+161052 (q^5)+371294 (q^6)+762744 (q^7)+1419858 (q^8)+2476100 (q^9)+4101152 (q^10)+6436344 (q^11)+9768751 (q^12)+14408200 (q^13)+20511150 (q^14)+28629152 (q^15)+39296688 (q^16)+52541808 (q^17)+69343958 (q^18)+90595736 (q^19)+115856202 (q^20)+147008444 (q^21)+185349918 (q^22)+229345008 (q^23)+282492057 (q^24)+346445352 (q^25)+418195494 (q^26)+503448552 (q^27)+604168400 (q^28)+714924300 (q^29)+844596302 (q^30)+996596744 (q^31)+1160665044 (q^32)+1350125108 (q^33)+1570467936 (q^34)+1804229352 (q^35)+2073071594 (q^36)+2383575244 (q^37)+2706962016 (q^38)+3077056400 (q^39)+3501192601 (q^40)+3939040644 (q^41)+4438476108 (q^42)+5004720600 (q^43)+5584059450 (q^44)+6240709552 (q^45)+6985513088 (q^46)+7740288600 (q^47)+8587340258 (q^48)+9549256236 (q^49));

(Subscript[ρ, r])=3

(Subscript[Y, 3I]^((6)))=(lv4wt6y3Ie1,lv4wt6y3Ie2,lv4wt6y3Ie3)

lv4wt6y3Ie1=1-152 q+264 (q^2)-224 (q^3)+7944 (q^4)-32784 (q^5)+64416 (q^6)-121792 (q^7)+253704 (q^8)-460088 (q^9)+825264 (q^10)-1366176 (q^11)+1938336 (q^12)-2910160 (q^13)+4437312 (q^14)-6008640 (q^15)+8118024 (q^16)-11444400 (q^17)+15653352 (q^18)-19929184 (q^19)+24832944 (q^20)-32961280 (q^21)+42517728 (q^22)-50899776 (q^23)+61903776 (q^24)-78119912 (q^25)+98021616 (q^26)-115856576 (q^27)+133522752 (q^28)-164003664 (q^29)+201364416 (q^30)-229646080 (q^31)+259776264 (q^32)-313440384 (q^33)+374842512 (q^34)-419650176 (q^35)+471023592 (q^36)-554708752 (q^37)+653690400 (q^38)-725488192 (q^39)+793078704 (q^40)-929330160 (q^41)+1082704128 (q^42)-1174325152 (q^43)+1279397088 (q^44)-1482029520 (q^45)+1699194816 (q^46)-1834573440 (q^47)+1980797856 (q^48)-2258631384 (q^49)+2578950264 (q^50);
lv4wt6y3Ie2=-2 (Sqrt[2]) (q^(1/4)) (-1+330 q+7523 (q^2)+46882 (q^3)+176814 (q^4)+511456 (q^5)+1221329 (q^6)+2564562 (q^7)+4919376 (q^8)+8668330 (q^9)+14462646 (q^10)+23174754 (q^11)+35321703 (q^12)+52252506 (q^13)+75532336 (q^14)+105613618 (q^15)+145108524 (q^16)+196253088 (q^17)+259057942 (q^18)+338423712 (q^19)+437677415 (q^20)+554773428 (q^21)+697973958 (q^22)+873246592 (q^23)+1073555230 (q^24)+1313749866 (q^25)+1602460992 (q^26)+1923167554 (q^27)+2303077326 (q^28)+2751845338 (q^29)+3242051339 (q^30)+3816120900 (q^31)+4483594192 (q^32)+5202368864 (q^33)+6033072342 (q^34)+6995005248 (q^35)+8014767948 (q^36)+9179750778 (q^37)+10523521206 (q^38)+11923488082 (q^39)+13522352448 (q^40)+15355574496 (q^41)+17232579033 (q^42)+19369690626 (q^43)+21805087632 (q^44)+24283659994 (q^45)+27096169692 (q^46)+30272034496 (q^47)+33473140030 (q^48)+37089256842 (q^49));
lv4wt6y3Ie3=-8 (Sqrt[2]) (q^(3/4)) (11+550 q+4881 (q^2)+24018 (q^3)+77143 (q^4)+202290 (q^5)+449102 (q^6)+893464 (q^7)+1643268 (q^8)+2829706 (q^9)+4597417 (q^10)+7167396 (q^11)+10828422 (q^12)+15724566 (q^13)+22343541 (q^14)+31141198 (q^15)+42185275 (q^16)+56395350 (q^17)+74486021 (q^18)+96179644 (q^19)+123075975 (q^20)+156395514 (q^21)+195011828 (q^22)+241871322 (q^23)+298429293 (q^24)+362280814 (q^25)+438263001 (q^26)+528746674 (q^27)+628812684 (q^28)+745795116 (q^29)+883461678 (q^30)+1032354400 (q^31)+1205580651 (q^32)+1407438708 (q^33)+1621568113 (q^34)+1868739774 (q^35)+2153971347 (q^36)+2453189266 (q^37)+2796645648 (q^38)+3188806434 (q^39)+3595769347 (q^40)+4059262878 (q^41)+4588004443 (q^42)+5131031290 (q^43)+5742548559 (q^44)+6439929562 (q^45)+7145877618 (q^46)+7943794320 (q^47)+8849994780 (q^48)+9752471734 (q^49));

(Subscript[Y, 3II]^((6)))=(lv4wt6y3IIe1,lv4wt6y3IIe2,lv4wt6y3IIe3)

lv4wt6y3IIe1=1+232 q+264 (q^2)-4832 (q^3)+7944 (q^4)-12048 (q^5)+64416 (q^6)-155584 (q^7)+253704 (q^8)-498104 (q^9)+825264 (q^10)-1158816 (q^11)+1938336 (q^12)-3070672 (q^13)+4437312 (q^14)-6257472 (q^15)+8118024 (q^16)-11216304 (q^17)+15653352 (q^18)-19608160 (q^19)+24832944 (q^20)-32555776 (q^21)+42517728 (q^22)-52475712 (q^23)+61903776 (q^24)-78200168 (q^25)+98021616 (q^26)-114280640 (q^27)+133522752 (q^28)-164231760 (q^29)+201364416 (q^30)-228011776 (q^31)+259776264 (q^32)-315928704 (q^33)+374842512 (q^34)-421474944 (q^35)+471023592 (q^36)-554823184 (q^37)+653690400 (q^38)-723562048 (q^39)+793078704 (q^40)-922715376 (q^41)+1082704128 (q^42)-1178971552 (q^43)+1279397088 (q^44)-1484082384 (q^45)+1699194816 (q^46)-1835071104 (q^47)+1980797856 (q^48)-2262111576 (q^49)+2578950264 (q^50);
lv4wt6y3IIe2=-4 (Sqrt[2]) (q^(1/4)) (1+246 q+3613 (q^2)+22814 (q^3)+89298 (q^4)+257312 (q^5)+610351 (q^6)+1281390 (q^7)+2449968 (q^8)+4333718 (q^9)+7257162 (q^10)+11579358 (q^11)+17647257 (q^12)+26155494 (q^13)+37751120 (q^14)+52754702 (q^15)+72520404 (q^16)+98200416 (q^17)+129630314 (q^18)+169140576 (q^19)+218800921 (q^20)+277434828 (q^21)+349031610 (q^22)+436546688 (q^23)+536594018 (q^24)+656891862 (q^25)+801316032 (q^26)+961733630 (q^27)+1151494194 (q^28)+1375984742 (q^29)+1621221493 (q^30)+1907790396 (q^31)+2242014896 (q^32)+2601074080 (q^33)+3016060458 (q^34)+3497525952 (q^35)+4007335860 (q^36)+4590170310 (q^37)+5261672394 (q^38)+5961925358 (q^39)+6761717952 (q^40)+7677262368 (q^41)+8615994663 (q^42)+9685906494 (q^43)+10902681840 (q^44)+12140990822 (q^45)+13548060708 (q^46)+15135475520 (q^47)+16736580674 (q^48)+18543832758 (q^49));
lv4wt6y3IIe3=-16 (Sqrt[2]) (q^(3/4)) (1+242 q+2643 (q^2)+11766 (q^3)+38885 (q^4)+99606 (q^5)+226090 (q^6)+448328 (q^7)+819852 (q^8)+1416734 (q^9)+2294171 (q^10)+3583212 (q^11)+5411538 (q^12)+7873218 (q^13)+11168895 (q^14)+15573866 (q^15)+21100817 (q^16)+28180098 (q^17)+37243951 (q^18)+48060980 (q^19)+61563381 (q^20)+78200430 (q^21)+97519708 (q^22)+120952590 (q^23)+149194599 (q^24)+181130186 (q^25)+219177387 (q^26)+264374678 (q^27)+314323236 (q^28)+372877956 (q^29)+441653322 (q^30)+516303392 (q^31)+602828193 (q^32)+703802460 (q^33)+810728435 (q^34)+934285242 (q^35)+1077026457 (q^36)+1226622518 (q^37)+1398409008 (q^38)+1594315494 (q^39)+1797842921 (q^40)+2029447002 (q^41)+2293971185 (q^42)+2565522542 (q^43)+2871459405 (q^44)+3220121102 (q^45)+3573059094 (q^46)+3971625648 (q^47)+4425098964 (q^48)+4876256930 (q^49));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((6)))=(lv4wt6y3pe1,lv4wt6y3pe2,lv4wt6y3pe3)

lv4wt6y3pe1=-32 (Sqrt[3]) (Sqrt[q]) (1+20 q-74 (q^2)-24 (q^3)+157 (q^4)+124 (q^5)+478 (q^6)-1480 (q^7)-1198 (q^8)+3044 (q^9)-480 (q^10)+184 (q^11)+2351 (q^12)-1720 (q^13)-3282 (q^14)-5728 (q^15)+2480 (q^16)+1776 (q^17)+10326 (q^18)+9560 (q^19)-8886 (q^20)-9188 (q^21)-11618 (q^22)+23664 (q^23)-16231 (q^24)-23960 (q^25)+11686 (q^26)-9176 (q^27)+60880 (q^28)+16876 (q^29)-18482 (q^30)-3768 (q^31)-35372 (q^32)-15532 (q^33)+3680 (q^34)-31960 (q^35)-4886 (q^36)+47020 (q^37)-2976 (q^38)+44560 (q^39)-72551 (q^40)+67364 (q^41)+88652 (q^42)-65640 (q^43)+71994 (q^44)-11472 (q^45)-114560 (q^46)-225256 (q^47)+48866 (q^48)+19468 (q^49));
lv4wt6y3pe2=-16 (Sqrt[6]) (q^(3/4)) (5-6 q+31 (q^2)-370 (q^3)+761 (q^4)+46 (q^5)-430 (q^6)-1432 (q^7)+444 (q^8)+2390 (q^9)-2297 (q^10)+5916 (q^11)-5990 (q^12)-2294 (q^13)+4219 (q^14)-942 (q^15)-3883 (q^16)-7990 (q^17)+11755 (q^18)+11140 (q^19)+16841 (q^20)-16410 (q^21)-2868 (q^22)-56314 (q^23)+4867 (q^24)+45106 (q^25)-16425 (q^26)+51630 (q^27)-3404 (q^28)+7188 (q^29)-44430 (q^30)-23648 (q^31)+17573 (q^32)+31820 (q^33)-32577 (q^34)+14818 (q^35)-81155 (q^36)-18994 (q^37)+105968 (q^38)+58430 (q^39)-2931 (q^40)-137982 (q^41)+119477 (q^42)-14106 (q^43)+139905 (q^44)-92410 (q^45)-37138 (q^46)-102288 (q^47)-176860 (q^48)+70762 (q^49));
lv4wt6y3pe3=4 (Sqrt[6]) (q^(1/4)) (-1+74 q-157 (q^2)-478 (q^3)+1198 (q^4)+480 (q^5)-2351 (q^6)+3282 (q^7)-2480 (q^8)-10326 (q^9)+8886 (q^10)+11618 (q^11)+16231 (q^12)-11686 (q^13)-60880 (q^14)+18482 (q^15)+35372 (q^16)-3680 (q^17)+4886 (q^18)+2976 (q^19)+72551 (q^20)-88652 (q^21)-71994 (q^22)+114560 (q^23)-48866 (q^24)-51606 (q^25)-35520 (q^26)+112706 (q^27)+23502 (q^28)-75046 (q^29)+145675 (q^30)-57276 (q^31)+183760 (q^32)+73056 (q^33)-277290 (q^34)-473280 (q^35)-242868 (q^36)+401530 (q^37)+188086 (q^38)+394322 (q^39)+4416 (q^40)+183520 (q^41)+142809 (q^42)-432894 (q^43)-337520 (q^44)-604710 (q^45)+764124 (q^46)-41280 (q^47)-540866 (q^48)+629898 (q^49));

weight 0

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((0)))=(lv4ph0y2e1,lv4ph0y2e2)

lv4ph0y2e1=-0.8825424006106062`-((93 (E^(-200 π y)))/(25 π (q^50)))-((342 (E^(-196 π y)))/(49 π (q^49)))-((E^(-192 π y))/(2 π (q^48)))-((288 (E^(-188 π y)))/(47 π (q^47)))-((72 (E^(-184 π y)))/(23 π (q^46)))-((52 (E^(-180 π y)))/(5 π (q^45)))-((18 (E^(-176 π y)))/(11 π (q^44)))-((264 (E^(-172 π y)))/(43 π (q^43)))-((32 (E^(-168 π y)))/(7 π (q^42)))-((252 (E^(-164 π y)))/(41 π (q^41)))-((9 (E^(-160 π y)))/(10 π (q^40)))-((112 (E^(-156 π y)))/(13 π (q^39)))-((60 (E^(-152 π y)))/(19 π (q^38)))-((228 (E^(-148 π y)))/(37 π (q^37)))-((13 (E^(-144 π y)))/(6 π (q^36)))-((288 (E^(-140 π y)))/(35 π (q^35)))-((54 (E^(-136 π y)))/(17 π (q^34)))-((96 (E^(-132 π y)))/(11 π (q^33)))-((3 (E^(-128 π y)))/(16 π (q^32)))-((192 (E^(-124 π y)))/(31 π (q^31)))-((24 (E^(-120 π y)))/(5 π (q^30)))-((180 (E^(-116 π y)))/(29 π (q^29)))-((12 (E^(-112 π y)))/(7 π (q^28)))-((80 (E^(-108 π y)))/(9 π (q^27)))-((42 (E^(-104 π y)))/(13 π (q^26)))-((186 (E^(-100 π y)))/(25 π (q^25)))-((E^(-96 π y))/(π (q^24)))-((144 (E^(-92 π y)))/(23 π (q^23)))-((36 (E^(-88 π y)))/(11 π (q^22)))-((64 (E^(-84 π y)))/(7 π (q^21)))-((9 (E^(-80 π y)))/(5 π (q^20)))-((120 (E^(-76 π y)))/(19 π (q^19)))-((13 (E^(-72 π y)))/(3 π (q^18)))-((108 (E^(-68 π y)))/(17 π (q^17)))-((3 (E^(-64 π y)))/(8 π (q^16)))-((48 (E^(-60 π y)))/(5 π (q^15)))-((24 (E^(-56 π y)))/(7 π (q^14)))-((84 (E^(-52 π y)))/(13 π (q^13)))-((2 (E^(-48 π y)))/(π (q^12)))-((72 (E^(-44 π y)))/(11 π (q^11)))-((18 (E^(-40 π y)))/(5 π (q^10)))-((26 (E^(-36 π y)))/(3 π (q^9)))-((3 (E^(-32 π y)))/(4 π (q^8)))-((48 (E^(-28 π y)))/(7 π (q^7)))-((4 (E^(-24 π y)))/(π (q^6)))-((36 (E^(-20 π y)))/(5 π (q^5)))-((3 (E^(-16 π y)))/(2 π (q^4)))-((8 (E^(-12 π y)))/(π (q^3)))-((3 (E^(-8 π y)))/(π (q^2)))-((6 (E^(-4 π y)))/(π q))-((6 q)/π)-((3 (q^2))/π)-((8 (q^3))/π)-((3 (q^4))/(2 π))-((36 (q^5))/(5 π))-((4 (q^6))/π)-((48 (q^7))/(7 π))-((3 (q^8))/(4 π))-((26 (q^9))/(3 π))-((18 (q^10))/(5 π))-((72 (q^11))/(11 π))-((2 (q^12))/π)-((84 (q^13))/(13 π))-((24 (q^14))/(7 π))-((48 (q^15))/(5 π))-((3 (q^16))/(8 π))-((108 (q^17))/(17 π))-((13 (q^18))/(3 π))-((120 (q^19))/(19 π))-((9 (q^20))/(5 π))-((64 (q^21))/(7 π))-((36 (q^22))/(11 π))-((144 (q^23))/(23 π))-((q^24)/π)-((186 (q^25))/(25 π))-((42 (q^26))/(13 π))-((80 (q^27))/(9 π))-((12 (q^28))/(7 π))-((180 (q^29))/(29 π))-((24 (q^30))/(5 π))-((192 (q^31))/(31 π))-((3 (q^32))/(16 π))-((96 (q^33))/(11 π))-((54 (q^34))/(17 π))-((288 (q^35))/(35 π))-((13 (q^36))/(6 π))-((228 (q^37))/(37 π))-((60 (q^38))/(19 π))-((112 (q^39))/(13 π))-((9 (q^40))/(10 π))-((252 (q^41))/(41 π))-((32 (q^42))/(7 π))-((264 (q^43))/(43 π))-((18 (q^44))/(11 π))-((52 (q^45))/(5 π))-((72 (q^46))/(23 π))-((288 (q^47))/(47 π))-((q^48)/(2 π))-((342 (q^49))/(49 π))-((93 (q^50))/(25 π))+y;
lv4ph0y2e2=((208 (E^(-198 π y)))/(11 (Sqrt[3]) π (q^(99/2))))+((392 (Sqrt[3]) (E^(-194 π y)))/(97 π (q^(97/2))))+((96 (Sqrt[3]) (E^(-190 π y)))/(19 π (q^(95/2))))+((512 (E^(-186 π y)))/(31 (Sqrt[3]) π (q^(93/2))))+((64 (Sqrt[3]) (E^(-182 π y)))/(13 π (q^(91/2))))+((360 (Sqrt[3]) (E^(-178 π y)))/(89 π (q^(89/2))))+((160 (Sqrt[3]) (E^(-174 π y)))/(29 π (q^(87/2))))+((432 (Sqrt[3]) (E^(-170 π y)))/(85 π (q^(85/2))))+((336 (Sqrt[3]) (E^(-166 π y)))/(83 π (q^(83/2))))+((484 (E^(-162 π y)))/(27 (Sqrt[3]) π (q^(81/2))))+((320 (Sqrt[3]) (E^(-158 π y)))/(79 π (q^(79/2))))+((384 (Sqrt[3]) (E^(-154 π y)))/(77 π (q^(77/2))))+((496 (E^(-150 π y)))/(25 (Sqrt[3]) π (q^(75/2))))+((296 (Sqrt[3]) (E^(-146 π y)))/(73 π (q^(73/2))))+((288 (Sqrt[3]) (E^(-142 π y)))/(71 π (q^(71/2))))+((128 (Sqrt[3]) (E^(-138 π y)))/(23 π (q^(69/2))))+((272 (Sqrt[3]) (E^(-134 π y)))/(67 π (q^(67/2))))+((336 (Sqrt[3]) (E^(-130 π y)))/(65 π (q^(65/2))))+((416 (E^(-126 π y)))/(21 (Sqrt[3]) π (q^(63/2))))+((248 (Sqrt[3]) (E^(-122 π y)))/(61 π (q^(61/2))))+((240 (Sqrt[3]) (E^(-118 π y)))/(59 π (q^(59/2))))+((320 (E^(-114 π y)))/(19 (Sqrt[3]) π (q^(57/2))))+((288 (Sqrt[3]) (E^(-110 π y)))/(55 π (q^(55/2))))+((216 (Sqrt[3]) (E^(-106 π y)))/(53 π (q^(53/2))))+((96 (Sqrt[3]) (E^(-102 π y)))/(17 π (q^(51/2))))+((228 (Sqrt[3]) (E^(-98 π y)))/(49 π (q^(49/2))))+((192 (Sqrt[3]) (E^(-94 π y)))/(47 π (q^(47/2))))+((104 (E^(-90 π y)))/(5 (Sqrt[3]) π (q^(45/2))))+((176 (Sqrt[3]) (E^(-86 π y)))/(43 π (q^(43/2))))+((168 (Sqrt[3]) (E^(-82 π y)))/(41 π (q^(41/2))))+((224 (E^(-78 π y)))/(13 (Sqrt[3]) π (q^(39/2))))+((152 (Sqrt[3]) (E^(-74 π y)))/(37 π (q^(37/2))))+((192 (Sqrt[3]) (E^(-70 π y)))/(35 π (q^(35/2))))+((64 (Sqrt[3]) (E^(-66 π y)))/(11 π (q^(33/2))))+((128 (Sqrt[3]) (E^(-62 π y)))/(31 π (q^(31/2))))+((120 (Sqrt[3]) (E^(-58 π y)))/(29 π (q^(29/2))))+((160 (E^(-54 π y)))/(9 (Sqrt[3]) π (q^(27/2))))+((124 (Sqrt[3]) (E^(-50 π y)))/(25 π (q^(25/2))))+((96 (Sqrt[3]) (E^(-46 π y)))/(23 π (q^(23/2))))+((128 (E^(-42 π y)))/(7 (Sqrt[3]) π (q^(21/2))))+((80 (Sqrt[3]) (E^(-38 π y)))/(19 π (q^(19/2))))+((72 (Sqrt[3]) (E^(-34 π y)))/(17 π (q^(17/2))))+((32 (Sqrt[3]) (E^(-30 π y)))/(5 π (q^(15/2))))+((56 (Sqrt[3]) (E^(-26 π y)))/(13 π (q^(13/2))))+((48 (Sqrt[3]) (E^(-22 π y)))/(11 π (q^(11/2))))+((52 (E^(-18 π y)))/(3 (Sqrt[3]) π (q^(9/2))))+((32 (Sqrt[3]) (E^(-14 π y)))/(7 π (q^(7/2))))+((24 (Sqrt[3]) (E^(-10 π y)))/(5 π (q^(5/2))))+((16 (E^(-6 π y)))/((Sqrt[3]) π (q^(3/2))))+((4 (Sqrt[3]) (E^(-2 π y)))/(π (Sqrt[q])))+((4 (Sqrt[3]) (Sqrt[q]))/π)+((16 (q^(3/2)))/((Sqrt[3]) π))+((24 (Sqrt[3]) (q^(5/2)))/(5 π))+((32 (Sqrt[3]) (q^(7/2)))/(7 π))+((52 (q^(9/2)))/(3 (Sqrt[3]) π))+((48 (Sqrt[3]) (q^(11/2)))/(11 π))+((56 (Sqrt[3]) (q^(13/2)))/(13 π))+((32 (Sqrt[3]) (q^(15/2)))/(5 π))+((72 (Sqrt[3]) (q^(17/2)))/(17 π))+((80 (Sqrt[3]) (q^(19/2)))/(19 π))+((128 (q^(21/2)))/(7 (Sqrt[3]) π))+((96 (Sqrt[3]) (q^(23/2)))/(23 π))+((124 (Sqrt[3]) (q^(25/2)))/(25 π))+((160 (q^(27/2)))/(9 (Sqrt[3]) π))+((120 (Sqrt[3]) (q^(29/2)))/(29 π))+((128 (Sqrt[3]) (q^(31/2)))/(31 π))+((64 (Sqrt[3]) (q^(33/2)))/(11 π))+((192 (Sqrt[3]) (q^(35/2)))/(35 π))+((152 (Sqrt[3]) (q^(37/2)))/(37 π))+((224 (q^(39/2)))/(13 (Sqrt[3]) π))+((168 (Sqrt[3]) (q^(41/2)))/(41 π))+((176 (Sqrt[3]) (q^(43/2)))/(43 π))+((104 (q^(45/2)))/(5 (Sqrt[3]) π))+((192 (Sqrt[3]) (q^(47/2)))/(47 π))+((228 (Sqrt[3]) (q^(49/2)))/(49 π))+((96 (Sqrt[3]) (q^(51/2)))/(17 π))+((216 (Sqrt[3]) (q^(53/2)))/(53 π))+((288 (Sqrt[3]) (q^(55/2)))/(55 π))+((320 (q^(57/2)))/(19 (Sqrt[3]) π))+((240 (Sqrt[3]) (q^(59/2)))/(59 π))+((248 (Sqrt[3]) (q^(61/2)))/(61 π))+((416 (q^(63/2)))/(21 (Sqrt[3]) π))+((336 (Sqrt[3]) (q^(65/2)))/(65 π))+((272 (Sqrt[3]) (q^(67/2)))/(67 π))+((128 (Sqrt[3]) (q^(69/2)))/(23 π))+((288 (Sqrt[3]) (q^(71/2)))/(71 π))+((296 (Sqrt[3]) (q^(73/2)))/(73 π))+((496 (q^(75/2)))/(25 (Sqrt[3]) π))+((384 (Sqrt[3]) (q^(77/2)))/(77 π))+((320 (Sqrt[3]) (q^(79/2)))/(79 π))+((484 (q^(81/2)))/(27 (Sqrt[3]) π))+((336 (Sqrt[3]) (q^(83/2)))/(83 π))+((432 (Sqrt[3]) (q^(85/2)))/(85 π))+((160 (Sqrt[3]) (q^(87/2)))/(29 π))+((360 (Sqrt[3]) (q^(89/2)))/(89 π))+((64 (Sqrt[3]) (q^(91/2)))/(13 π))+((512 (q^(93/2)))/(31 (Sqrt[3]) π))+((96 (Sqrt[3]) (q^(95/2)))/(19 π))+((392 (Sqrt[3]) (q^(97/2)))/(97 π))+((208 (q^(99/2)))/(11 (Sqrt[3]) π));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((0)))=(lv4ph0y3e1,lv4ph0y3e2,lv4ph0y3e3)

lv4ph0y3e1=-0.44127120030530326`-((93 (E^(-200 π y)))/(25 π (q^50)))+((114 (E^(-196 π y)))/(49 π (q^49)))-((E^(-192 π y))/(2 π (q^48)))+((96 (E^(-188 π y)))/(47 π (q^47)))-((72 (E^(-184 π y)))/(23 π (q^46)))+((52 (E^(-180 π y)))/(15 π (q^45)))-((18 (E^(-176 π y)))/(11 π (q^44)))+((88 (E^(-172 π y)))/(43 π (q^43)))-((32 (E^(-168 π y)))/(7 π (q^42)))+((84 (E^(-164 π y)))/(41 π (q^41)))-((9 (E^(-160 π y)))/(10 π (q^40)))+((112 (E^(-156 π y)))/(39 π (q^39)))-((60 (E^(-152 π y)))/(19 π (q^38)))+((76 (E^(-148 π y)))/(37 π (q^37)))-((13 (E^(-144 π y)))/(6 π (q^36)))+((96 (E^(-140 π y)))/(35 π (q^35)))-((54 (E^(-136 π y)))/(17 π (q^34)))+((32 (E^(-132 π y)))/(11 π (q^33)))-((3 (E^(-128 π y)))/(16 π (q^32)))+((64 (E^(-124 π y)))/(31 π (q^31)))-((24 (E^(-120 π y)))/(5 π (q^30)))+((60 (E^(-116 π y)))/(29 π (q^29)))-((12 (E^(-112 π y)))/(7 π (q^28)))+((80 (E^(-108 π y)))/(27 π (q^27)))-((42 (E^(-104 π y)))/(13 π (q^26)))+((62 (E^(-100 π y)))/(25 π (q^25)))-((E^(-96 π y))/(π (q^24)))+((48 (E^(-92 π y)))/(23 π (q^23)))-((36 (E^(-88 π y)))/(11 π (q^22)))+((64 (E^(-84 π y)))/(21 π (q^21)))-((9 (E^(-80 π y)))/(5 π (q^20)))+((40 (E^(-76 π y)))/(19 π (q^19)))-((13 (E^(-72 π y)))/(3 π (q^18)))+((36 (E^(-68 π y)))/(17 π (q^17)))-((3 (E^(-64 π y)))/(8 π (q^16)))+((16 (E^(-60 π y)))/(5 π (q^15)))-((24 (E^(-56 π y)))/(7 π (q^14)))+((28 (E^(-52 π y)))/(13 π (q^13)))-((2 (E^(-48 π y)))/(π (q^12)))+((24 (E^(-44 π y)))/(11 π (q^11)))-((18 (E^(-40 π y)))/(5 π (q^10)))+((26 (E^(-36 π y)))/(9 π (q^9)))-((3 (E^(-32 π y)))/(4 π (q^8)))+((16 (E^(-28 π y)))/(7 π (q^7)))-((4 (E^(-24 π y)))/(π (q^6)))+((12 (E^(-20 π y)))/(5 π (q^5)))-((3 (E^(-16 π y)))/(2 π (q^4)))+((8 (E^(-12 π y)))/(3 π (q^3)))-((3 (E^(-8 π y)))/(π (q^2)))+((2 (E^(-4 π y)))/(π q))+((2 q)/π)-((3 (q^2))/π)+((8 (q^3))/(3 π))-((3 (q^4))/(2 π))+((12 (q^5))/(5 π))-((4 (q^6))/π)+((16 (q^7))/(7 π))-((3 (q^8))/(4 π))+((26 (q^9))/(9 π))-((18 (q^10))/(5 π))+((24 (q^11))/(11 π))-((2 (q^12))/π)+((28 (q^13))/(13 π))-((24 (q^14))/(7 π))+((16 (q^15))/(5 π))-((3 (q^16))/(8 π))+((36 (q^17))/(17 π))-((13 (q^18))/(3 π))+((40 (q^19))/(19 π))-((9 (q^20))/(5 π))+((64 (q^21))/(21 π))-((36 (q^22))/(11 π))+((48 (q^23))/(23 π))-((q^24)/π)+((62 (q^25))/(25 π))-((42 (q^26))/(13 π))+((80 (q^27))/(27 π))-((12 (q^28))/(7 π))+((60 (q^29))/(29 π))-((24 (q^30))/(5 π))+((64 (q^31))/(31 π))-((3 (q^32))/(16 π))+((32 (q^33))/(11 π))-((54 (q^34))/(17 π))+((96 (q^35))/(35 π))-((13 (q^36))/(6 π))+((76 (q^37))/(37 π))-((60 (q^38))/(19 π))+((112 (q^39))/(39 π))-((9 (q^40))/(10 π))+((84 (q^41))/(41 π))-((32 (q^42))/(7 π))+((88 (q^43))/(43 π))-((18 (q^44))/(11 π))+((52 (q^45))/(15 π))-((72 (q^46))/(23 π))+((96 (q^47))/(47 π))-((q^48)/(2 π))+((114 (q^49))/(49 π))-((93 (q^50))/(25 π))+y;
lv4ph0y3e2=((800 (Sqrt[2]) (E^(-199 π y)))/(199 π (q^(199/4))))+((448 (Sqrt[2]) (E^(-195 π y)))/(65 π (q^(195/4))))+((768 (Sqrt[2]) (E^(-191 π y)))/(191 π (q^(191/4))))+((864 (Sqrt[2]) (E^(-187 π y)))/(187 π (q^(187/4))))+((992 (Sqrt[2]) (E^(-183 π y)))/(183 π (q^(183/4))))+((720 (Sqrt[2]) (E^(-179 π y)))/(179 π (q^(179/4))))+((992 (Sqrt[2]) (E^(-175 π y)))/(175 π (q^(175/4))))+((1040 (Sqrt[2]) (E^(-171 π y)))/(171 π (q^(171/4))))+((672 (Sqrt[2]) (E^(-167 π y)))/(167 π (q^(167/4))))+((656 (Sqrt[2]) (E^(-163 π y)))/(163 π (q^(163/4))))+((288 (Sqrt[2]) (E^(-159 π y)))/(53 π (q^(159/4))))+((768 (Sqrt[2]) (E^(-155 π y)))/(155 π (q^(155/4))))+((608 (Sqrt[2]) (E^(-151 π y)))/(151 π (q^(151/4))))+((304 (Sqrt[2]) (E^(-147 π y)))/(49 π (q^(147/4))))+((672 (Sqrt[2]) (E^(-143 π y)))/(143 π (q^(143/4))))+((560 (Sqrt[2]) (E^(-139 π y)))/(139 π (q^(139/4))))+((64 (Sqrt[2]) (E^(-135 π y)))/(9 π (q^(135/4))))+((528 (Sqrt[2]) (E^(-131 π y)))/(131 π (q^(131/4))))+((512 (Sqrt[2]) (E^(-127 π y)))/(127 π (q^(127/4))))+((224 (Sqrt[2]) (E^(-123 π y)))/(41 π (q^(123/4))))+((576 (Sqrt[2]) (E^(-119 π y)))/(119 π (q^(119/4))))+((576 (Sqrt[2]) (E^(-115 π y)))/(115 π (q^(115/4))))+((608 (Sqrt[2]) (E^(-111 π y)))/(111 π (q^(111/4))))+((432 (Sqrt[2]) (E^(-107 π y)))/(107 π (q^(107/4))))+((416 (Sqrt[2]) (E^(-103 π y)))/(103 π (q^(103/4))))+((208 (Sqrt[2]) (E^(-99 π y)))/(33 π (q^(99/4))))+((96 (Sqrt[2]) (E^(-95 π y)))/(19 π (q^(95/4))))+((64 (Sqrt[2]) (E^(-91 π y)))/(13 π (q^(91/4))))+((160 (Sqrt[2]) (E^(-87 π y)))/(29 π (q^(87/4))))+((336 (Sqrt[2]) (E^(-83 π y)))/(83 π (q^(83/4))))+((320 (Sqrt[2]) (E^(-79 π y)))/(79 π (q^(79/4))))+((496 (Sqrt[2]) (E^(-75 π y)))/(75 π (q^(75/4))))+((288 (Sqrt[2]) (E^(-71 π y)))/(71 π (q^(71/4))))+((272 (Sqrt[2]) (E^(-67 π y)))/(67 π (q^(67/4))))+((416 (Sqrt[2]) (E^(-63 π y)))/(63 π (q^(63/4))))+((240 (Sqrt[2]) (E^(-59 π y)))/(59 π (q^(59/4))))+((288 (Sqrt[2]) (E^(-55 π y)))/(55 π (q^(55/4))))+((96 (Sqrt[2]) (E^(-51 π y)))/(17 π (q^(51/4))))+((192 (Sqrt[2]) (E^(-47 π y)))/(47 π (q^(47/4))))+((176 (Sqrt[2]) (E^(-43 π y)))/(43 π (q^(43/4))))+((224 (Sqrt[2]) (E^(-39 π y)))/(39 π (q^(39/4))))+((192 (Sqrt[2]) (E^(-35 π y)))/(35 π (q^(35/4))))+((128 (Sqrt[2]) (E^(-31 π y)))/(31 π (q^(31/4))))+((160 (Sqrt[2]) (E^(-27 π y)))/(27 π (q^(27/4))))+((96 (Sqrt[2]) (E^(-23 π y)))/(23 π (q^(23/4))))+((80 (Sqrt[2]) (E^(-19 π y)))/(19 π (q^(19/4))))+((32 (Sqrt[2]) (E^(-15 π y)))/(5 π (q^(15/4))))+((48 (Sqrt[2]) (E^(-11 π y)))/(11 π (q^(11/4))))+((32 (Sqrt[2]) (E^(-7 π y)))/(7 π (q^(7/4))))+((16 (Sqrt[2]) (E^(-3 π y)))/(3 π (q^(3/4))))+((4 (Sqrt[2]) (q^(1/4)))/π)+((24 (Sqrt[2]) (q^(5/4)))/(5 π))+((52 (Sqrt[2]) (q^(9/4)))/(9 π))+((56 (Sqrt[2]) (q^(13/4)))/(13 π))+((72 (Sqrt[2]) (q^(17/4)))/(17 π))+((128 (Sqrt[2]) (q^(21/4)))/(21 π))+((124 (Sqrt[2]) (q^(25/4)))/(25 π))+((120 (Sqrt[2]) (q^(29/4)))/(29 π))+((64 (Sqrt[2]) (q^(33/4)))/(11 π))+((152 (Sqrt[2]) (q^(37/4)))/(37 π))+((168 (Sqrt[2]) (q^(41/4)))/(41 π))+((104 (Sqrt[2]) (q^(45/4)))/(15 π))+((228 (Sqrt[2]) (q^(49/4)))/(49 π))+((216 (Sqrt[2]) (q^(53/4)))/(53 π))+((320 (Sqrt[2]) (q^(57/4)))/(57 π))+((248 (Sqrt[2]) (q^(61/4)))/(61 π))+((336 (Sqrt[2]) (q^(65/4)))/(65 π))+((128 (Sqrt[2]) (q^(69/4)))/(23 π))+((296 (Sqrt[2]) (q^(73/4)))/(73 π))+((384 (Sqrt[2]) (q^(77/4)))/(77 π))+((484 (Sqrt[2]) (q^(81/4)))/(81 π))+((432 (Sqrt[2]) (q^(85/4)))/(85 π))+((360 (Sqrt[2]) (q^(89/4)))/(89 π))+((512 (Sqrt[2]) (q^(93/4)))/(93 π))+((392 (Sqrt[2]) (q^(97/4)))/(97 π))+((408 (Sqrt[2]) (q^(101/4)))/(101 π))+((256 (Sqrt[2]) (q^(105/4)))/(35 π))+((440 (Sqrt[2]) (q^(109/4)))/(109 π))+((456 (Sqrt[2]) (q^(113/4)))/(113 π))+((56 (Sqrt[2]) (q^(117/4)))/(9 π))+((532 (Sqrt[2]) (q^(121/4)))/(121 π))+((624 (Sqrt[2]) (q^(125/4)))/(125 π))+((704 (Sqrt[2]) (q^(129/4)))/(129 π))+((640 (Sqrt[2]) (q^(133/4)))/(133 π))+((552 (Sqrt[2]) (q^(137/4)))/(137 π))+((256 (Sqrt[2]) (q^(141/4)))/(47 π))+((144 (Sqrt[2]) (q^(145/4)))/(29 π))+((600 (Sqrt[2]) (q^(149/4)))/(149 π))+((104 (Sqrt[2]) (q^(153/4)))/(17 π))+((632 (Sqrt[2]) (q^(157/4)))/(157 π))+((768 (Sqrt[2]) (q^(161/4)))/(161 π))+((384 (Sqrt[2]) (q^(165/4)))/(55 π))+((732 (Sqrt[2]) (q^(169/4)))/(169 π))+((696 (Sqrt[2]) (q^(173/4)))/(173 π))+((320 (Sqrt[2]) (q^(177/4)))/(59 π))+((728 (Sqrt[2]) (q^(181/4)))/(181 π))+((912 (Sqrt[2]) (q^(185/4)))/(185 π))+((1280 (Sqrt[2]) (q^(189/4)))/(189 π))+((776 (Sqrt[2]) (q^(193/4)))/(193 π))+((792 (Sqrt[2]) (q^(197/4)))/(197 π));
lv4ph0y3e3=((792 (Sqrt[2]) (E^(-197 π y)))/(197 π (q^(197/4))))+((776 (Sqrt[2]) (E^(-193 π y)))/(193 π (q^(193/4))))+((1280 (Sqrt[2]) (E^(-189 π y)))/(189 π (q^(189/4))))+((912 (Sqrt[2]) (E^(-185 π y)))/(185 π (q^(185/4))))+((728 (Sqrt[2]) (E^(-181 π y)))/(181 π (q^(181/4))))+((320 (Sqrt[2]) (E^(-177 π y)))/(59 π (q^(177/4))))+((696 (Sqrt[2]) (E^(-173 π y)))/(173 π (q^(173/4))))+((732 (Sqrt[2]) (E^(-169 π y)))/(169 π (q^(169/4))))+((384 (Sqrt[2]) (E^(-165 π y)))/(55 π (q^(165/4))))+((768 (Sqrt[2]) (E^(-161 π y)))/(161 π (q^(161/4))))+((632 (Sqrt[2]) (E^(-157 π y)))/(157 π (q^(157/4))))+((104 (Sqrt[2]) (E^(-153 π y)))/(17 π (q^(153/4))))+((600 (Sqrt[2]) (E^(-149 π y)))/(149 π (q^(149/4))))+((144 (Sqrt[2]) (E^(-145 π y)))/(29 π (q^(145/4))))+((256 (Sqrt[2]) (E^(-141 π y)))/(47 π (q^(141/4))))+((552 (Sqrt[2]) (E^(-137 π y)))/(137 π (q^(137/4))))+((640 (Sqrt[2]) (E^(-133 π y)))/(133 π (q^(133/4))))+((704 (Sqrt[2]) (E^(-129 π y)))/(129 π (q^(129/4))))+((624 (Sqrt[2]) (E^(-125 π y)))/(125 π (q^(125/4))))+((532 (Sqrt[2]) (E^(-121 π y)))/(121 π (q^(121/4))))+((56 (Sqrt[2]) (E^(-117 π y)))/(9 π (q^(117/4))))+((456 (Sqrt[2]) (E^(-113 π y)))/(113 π (q^(113/4))))+((440 (Sqrt[2]) (E^(-109 π y)))/(109 π (q^(109/4))))+((256 (Sqrt[2]) (E^(-105 π y)))/(35 π (q^(105/4))))+((408 (Sqrt[2]) (E^(-101 π y)))/(101 π (q^(101/4))))+((392 (Sqrt[2]) (E^(-97 π y)))/(97 π (q^(97/4))))+((512 (Sqrt[2]) (E^(-93 π y)))/(93 π (q^(93/4))))+((360 (Sqrt[2]) (E^(-89 π y)))/(89 π (q^(89/4))))+((432 (Sqrt[2]) (E^(-85 π y)))/(85 π (q^(85/4))))+((484 (Sqrt[2]) (E^(-81 π y)))/(81 π (q^(81/4))))+((384 (Sqrt[2]) (E^(-77 π y)))/(77 π (q^(77/4))))+((296 (Sqrt[2]) (E^(-73 π y)))/(73 π (q^(73/4))))+((128 (Sqrt[2]) (E^(-69 π y)))/(23 π (q^(69/4))))+((336 (Sqrt[2]) (E^(-65 π y)))/(65 π (q^(65/4))))+((248 (Sqrt[2]) (E^(-61 π y)))/(61 π (q^(61/4))))+((320 (Sqrt[2]) (E^(-57 π y)))/(57 π (q^(57/4))))+((216 (Sqrt[2]) (E^(-53 π y)))/(53 π (q^(53/4))))+((228 (Sqrt[2]) (E^(-49 π y)))/(49 π (q^(49/4))))+((104 (Sqrt[2]) (E^(-45 π y)))/(15 π (q^(45/4))))+((168 (Sqrt[2]) (E^(-41 π y)))/(41 π (q^(41/4))))+((152 (Sqrt[2]) (E^(-37 π y)))/(37 π (q^(37/4))))+((64 (Sqrt[2]) (E^(-33 π y)))/(11 π (q^(33/4))))+((120 (Sqrt[2]) (E^(-29 π y)))/(29 π (q^(29/4))))+((124 (Sqrt[2]) (E^(-25 π y)))/(25 π (q^(25/4))))+((128 (Sqrt[2]) (E^(-21 π y)))/(21 π (q^(21/4))))+((72 (Sqrt[2]) (E^(-17 π y)))/(17 π (q^(17/4))))+((56 (Sqrt[2]) (E^(-13 π y)))/(13 π (q^(13/4))))+((52 (Sqrt[2]) (E^(-9 π y)))/(9 π (q^(9/4))))+((24 (Sqrt[2]) (E^(-5 π y)))/(5 π (q^(5/4))))+((4 (Sqrt[2]) (E^(-π y)))/(π (q^(1/4))))+((16 (Sqrt[2]) (q^(3/4)))/(3 π))+((32 (Sqrt[2]) (q^(7/4)))/(7 π))+((48 (Sqrt[2]) (q^(11/4)))/(11 π))+((32 (Sqrt[2]) (q^(15/4)))/(5 π))+((80 (Sqrt[2]) (q^(19/4)))/(19 π))+((96 (Sqrt[2]) (q^(23/4)))/(23 π))+((160 (Sqrt[2]) (q^(27/4)))/(27 π))+((128 (Sqrt[2]) (q^(31/4)))/(31 π))+((192 (Sqrt[2]) (q^(35/4)))/(35 π))+((224 (Sqrt[2]) (q^(39/4)))/(39 π))+((176 (Sqrt[2]) (q^(43/4)))/(43 π))+((192 (Sqrt[2]) (q^(47/4)))/(47 π))+((96 (Sqrt[2]) (q^(51/4)))/(17 π))+((288 (Sqrt[2]) (q^(55/4)))/(55 π))+((240 (Sqrt[2]) (q^(59/4)))/(59 π))+((416 (Sqrt[2]) (q^(63/4)))/(63 π))+((272 (Sqrt[2]) (q^(67/4)))/(67 π))+((288 (Sqrt[2]) (q^(71/4)))/(71 π))+((496 (Sqrt[2]) (q^(75/4)))/(75 π))+((320 (Sqrt[2]) (q^(79/4)))/(79 π))+((336 (Sqrt[2]) (q^(83/4)))/(83 π))+((160 (Sqrt[2]) (q^(87/4)))/(29 π))+((64 (Sqrt[2]) (q^(91/4)))/(13 π))+((96 (Sqrt[2]) (q^(95/4)))/(19 π))+((208 (Sqrt[2]) (q^(99/4)))/(33 π))+((416 (Sqrt[2]) (q^(103/4)))/(103 π))+((432 (Sqrt[2]) (q^(107/4)))/(107 π))+((608 (Sqrt[2]) (q^(111/4)))/(111 π))+((576 (Sqrt[2]) (q^(115/4)))/(115 π))+((576 (Sqrt[2]) (q^(119/4)))/(119 π))+((224 (Sqrt[2]) (q^(123/4)))/(41 π))+((512 (Sqrt[2]) (q^(127/4)))/(127 π))+((528 (Sqrt[2]) (q^(131/4)))/(131 π))+((64 (Sqrt[2]) (q^(135/4)))/(9 π))+((560 (Sqrt[2]) (q^(139/4)))/(139 π))+((672 (Sqrt[2]) (q^(143/4)))/(143 π))+((304 (Sqrt[2]) (q^(147/4)))/(49 π))+((608 (Sqrt[2]) (q^(151/4)))/(151 π))+((768 (Sqrt[2]) (q^(155/4)))/(155 π))+((288 (Sqrt[2]) (q^(159/4)))/(53 π))+((656 (Sqrt[2]) (q^(163/4)))/(163 π))+((672 (Sqrt[2]) (q^(167/4)))/(167 π))+((1040 (Sqrt[2]) (q^(171/4)))/(171 π))+((992 (Sqrt[2]) (q^(175/4)))/(175 π))+((720 (Sqrt[2]) (q^(179/4)))/(179 π))+((992 (Sqrt[2]) (q^(183/4)))/(183 π))+((864 (Sqrt[2]) (q^(187/4)))/(187 π))+((768 (Sqrt[2]) (q^(191/4)))/(191 π))+((448 (Sqrt[2]) (q^(195/4)))/(65 π))+((800 (Sqrt[2]) (q^(199/4)))/(199 π));

weight -2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-2)))=lv4ph2y1

lv4ph2y1=-((15 q)/(2 (π^3)))-((135 (q^2))/(16 (π^3)))-((70 (q^3))/(9 (π^3)))-((1095 (q^4))/(128 (π^3)))-((189 (q^5))/(25 (π^3)))-((35 (q^6))/(4 (π^3)))-((2580 (q^7))/(343 (π^3)))-((8775 (q^8))/(1024 (π^3)))-((3785 (q^9))/(486 (π^3)))-((1701 (q^10))/(200 (π^3)))-((9990 (q^11))/(1331 (π^3)))-((2555 (q^12))/(288 (π^3)))-((16485 (q^13))/(2197 (π^3)))-((5805 (q^14))/(686 (π^3)))-((196 (q^15))/(25 (π^3)))-((70215 (q^16))/(8192 (π^3)))-((36855 (q^17))/(4913 (π^3)))-((3785 (q^18))/(432 (π^3)))-((51450 (q^19))/(6859 (π^3)))-((13797 (q^20))/(1600 (π^3)))-((3440 (q^21))/(441 (π^3)))-((44955 (q^22))/(5324 (π^3)))-((91260 (q^23))/(12167 (π^3)))-((2275 (q^24))/(256 (π^3)))-((47253 (q^25))/(6250 (π^3)))-((148365 (q^26))/(17576 (π^3)))-((51100 (q^27))/(6561 (π^3)))-((47085 (q^28))/(5488 (π^3)))-((182925 (q^29))/(24389 (π^3)))-((441 (q^30))/(50 (π^3)))-((223440 (q^31))/(29791 (π^3)))-((561735 (q^32))/(65536 (π^3)))-((10360 (q^33))/(1331 (π^3)))-((331695 (q^34))/(39304 (π^3)))-((9288 (q^35))/(1225 (π^3)))-((276305 (q^36))/(31104 (π^3)))-((379905 (q^37))/(50653 (π^3)))-((231525 (q^38))/(27436 (π^3)))-((153860 (q^39))/(19773 (π^3)))-((22113 (q^40))/(2560 (π^3)))-((516915 (q^41))/(68921 (π^3)))-((430 (q^42))/(49 (π^3)))-((596310 (q^43))/(79507 (π^3)))-((364635 (q^44))/(42592 (π^3)))-((5299 (q^45))/(675 (π^3)))-((205335 (q^46))/(24334 (π^3)))-((778680 (q^47))/(103823 (π^3)))-((163835 (q^48))/(18432 (π^3)))-((1769895 (q^49))/(235298 (π^3)))-((425277 (q^50))/(50000 (π^3)))+((y^3)/3)-((15 Gamma[3,4 π y])/(4 (π^3) q))-((135 Gamma[3,8 π y])/(32 (π^3) (q^2)))-((35 Gamma[3,12 π y])/(9 (π^3) (q^3)))-((1095 Gamma[3,16 π y])/(256 (π^3) (q^4)))-((189 Gamma[3,20 π y])/(50 (π^3) (q^5)))-((35 Gamma[3,24 π y])/(8 (π^3) (q^6)))-((1290 Gamma[3,28 π y])/(343 (π^3) (q^7)))-((8775 Gamma[3,32 π y])/(2048 (π^3) (q^8)))-((3785 Gamma[3,36 π y])/(972 (π^3) (q^9)))-((1701 Gamma[3,40 π y])/(400 (π^3) (q^10)))-((4995 Gamma[3,44 π y])/(1331 (π^3) (q^11)))-((2555 Gamma[3,48 π y])/(576 (π^3) (q^12)))-((16485 Gamma[3,52 π y])/(4394 (π^3) (q^13)))-((5805 Gamma[3,56 π y])/(1372 (π^3) (q^14)))-((98 Gamma[3,60 π y])/(25 (π^3) (q^15)))-((70215 Gamma[3,64 π y])/(16384 (π^3) (q^16)))-((36855 Gamma[3,68 π y])/(9826 (π^3) (q^17)))-((3785 Gamma[3,72 π y])/(864 (π^3) (q^18)))-((25725 Gamma[3,76 π y])/(6859 (π^3) (q^19)))-((13797 Gamma[3,80 π y])/(3200 (π^3) (q^20)))-((1720 Gamma[3,84 π y])/(441 (π^3) (q^21)))-((44955 Gamma[3,88 π y])/(10648 (π^3) (q^22)))-((45630 Gamma[3,92 π y])/(12167 (π^3) (q^23)))-((2275 Gamma[3,96 π y])/(512 (π^3) (q^24)))-((47253 Gamma[3,100 π y])/(12500 (π^3) (q^25)))-((148365 Gamma[3,104 π y])/(35152 (π^3) (q^26)))-((25550 Gamma[3,108 π y])/(6561 (π^3) (q^27)))-((47085 Gamma[3,112 π y])/(10976 (π^3) (q^28)))-((182925 Gamma[3,116 π y])/(48778 (π^3) (q^29)))-((441 Gamma[3,120 π y])/(100 (π^3) (q^30)))-((111720 Gamma[3,124 π y])/(29791 (π^3) (q^31)))-((561735 Gamma[3,128 π y])/(131072 (π^3) (q^32)))-((5180 Gamma[3,132 π y])/(1331 (π^3) (q^33)))-((331695 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((4644 Gamma[3,140 π y])/(1225 (π^3) (q^35)))-((276305 Gamma[3,144 π y])/(62208 (π^3) (q^36)))-((379905 Gamma[3,148 π y])/(101306 (π^3) (q^37)))-((231525 Gamma[3,152 π y])/(54872 (π^3) (q^38)))-((76930 Gamma[3,156 π y])/(19773 (π^3) (q^39)))-((22113 Gamma[3,160 π y])/(5120 (π^3) (q^40)))-((516915 Gamma[3,164 π y])/(137842 (π^3) (q^41)))-((215 Gamma[3,168 π y])/(49 (π^3) (q^42)))-((298155 Gamma[3,172 π y])/(79507 (π^3) (q^43)))-((364635 Gamma[3,176 π y])/(85184 (π^3) (q^44)))-((5299 Gamma[3,180 π y])/(1350 (π^3) (q^45)))-((205335 Gamma[3,184 π y])/(48668 (π^3) (q^46)))-((389340 Gamma[3,188 π y])/(103823 (π^3) (q^47)))-((163835 Gamma[3,192 π y])/(36864 (π^3) (q^48)))-((1769895 Gamma[3,196 π y])/(470596 (π^3) (q^49)))-((425277 Gamma[3,200 π y])/(100000 (π^3) (q^50)))-((15 Zeta[3])/(2 (π^3)));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((-2)))=(lv4ph2y2e1,lv4ph2y2e2)

lv4ph2y2e1=((9 q)/(2 (π^3)))+((57 (q^2))/(16 (π^3)))+((14 (q^3))/(3 (π^3)))+((441 (q^4))/(128 (π^3)))+((567 (q^5))/(125 (π^3)))+((133 (q^6))/(36 (π^3)))+((1548 (q^7))/(343 (π^3)))+((3513 (q^8))/(1024 (π^3)))+((757 (q^9))/(162 (π^3)))+((3591 (q^10))/(1000 (π^3)))+((5994 (q^11))/(1331 (π^3)))+((343 (q^12))/(96 (π^3)))+((9891 (q^13))/(2197 (π^3)))+((2451 (q^14))/(686 (π^3)))+((588 (q^15))/(125 (π^3)))+((28089 (q^16))/(8192 (π^3)))+((22113 (q^17))/(4913 (π^3)))+((14383 (q^18))/(3888 (π^3)))+((30870 (q^19))/(6859 (π^3)))+((27783 (q^20))/(8000 (π^3)))+((688 (q^21))/(147 (π^3)))+((18981 (q^22))/(5324 (π^3)))+((54756 (q^23))/(12167 (π^3)))+((8197 (q^24))/(2304 (π^3)))+((141759 (q^25))/(31250 (π^3)))+((62643 (q^26))/(17576 (π^3)))+((10220 (q^27))/(2187 (π^3)))+((387 (q^28))/(112 (π^3)))+((109755 (q^29))/(24389 (π^3)))+((931 (q^30))/(250 (π^3)))+((134064 (q^31))/(29791 (π^3)))+((224697 (q^32))/(65536 (π^3)))+((6216 (q^33))/(1331 (π^3)))+((140049 (q^34))/(39304 (π^3)))+((27864 (q^35))/(6125 (π^3)))+((37093 (q^36))/(10368 (π^3)))+((227943 (q^37))/(50653 (π^3)))+((5145 (q^38))/(1444 (π^3)))+((30772 (q^39))/(6591 (π^3)))+((221319 (q^40))/(64000 (π^3)))+((310149 (q^41))/(68921 (π^3)))+((1634 (q^42))/(441 (π^3)))+((357786 (q^43))/(79507 (π^3)))+((146853 (q^44))/(42592 (π^3)))+((5299 (q^45))/(1125 (π^3)))+((86697 (q^46))/(24334 (π^3)))+((467208 (q^47))/(103823 (π^3)))+((21847 (q^48))/(6144 (π^3)))+((1061937 (q^49))/(235298 (π^3)))+((897807 (q^50))/(250000 (π^3)))+((y^3)/3)+((9 Gamma[3,4 π y])/(4 (π^3) q))+((57 Gamma[3,8 π y])/(32 (π^3) (q^2)))+((7 Gamma[3,12 π y])/(3 (π^3) (q^3)))+((441 Gamma[3,16 π y])/(256 (π^3) (q^4)))+((567 Gamma[3,20 π y])/(250 (π^3) (q^5)))+((133 Gamma[3,24 π y])/(72 (π^3) (q^6)))+((774 Gamma[3,28 π y])/(343 (π^3) (q^7)))+((3513 Gamma[3,32 π y])/(2048 (π^3) (q^8)))+((757 Gamma[3,36 π y])/(324 (π^3) (q^9)))+((3591 Gamma[3,40 π y])/(2000 (π^3) (q^10)))+((2997 Gamma[3,44 π y])/(1331 (π^3) (q^11)))+((343 Gamma[3,48 π y])/(192 (π^3) (q^12)))+((9891 Gamma[3,52 π y])/(4394 (π^3) (q^13)))+((2451 Gamma[3,56 π y])/(1372 (π^3) (q^14)))+((294 Gamma[3,60 π y])/(125 (π^3) (q^15)))+((28089 Gamma[3,64 π y])/(16384 (π^3) (q^16)))+((22113 Gamma[3,68 π y])/(9826 (π^3) (q^17)))+((14383 Gamma[3,72 π y])/(7776 (π^3) (q^18)))+((15435 Gamma[3,76 π y])/(6859 (π^3) (q^19)))+((27783 Gamma[3,80 π y])/(16000 (π^3) (q^20)))+((344 Gamma[3,84 π y])/(147 (π^3) (q^21)))+((18981 Gamma[3,88 π y])/(10648 (π^3) (q^22)))+((27378 Gamma[3,92 π y])/(12167 (π^3) (q^23)))+((8197 Gamma[3,96 π y])/(4608 (π^3) (q^24)))+((141759 Gamma[3,100 π y])/(62500 (π^3) (q^25)))+((62643 Gamma[3,104 π y])/(35152 (π^3) (q^26)))+((5110 Gamma[3,108 π y])/(2187 (π^3) (q^27)))+((387 Gamma[3,112 π y])/(224 (π^3) (q^28)))+((109755 Gamma[3,116 π y])/(48778 (π^3) (q^29)))+((931 Gamma[3,120 π y])/(500 (π^3) (q^30)))+((67032 Gamma[3,124 π y])/(29791 (π^3) (q^31)))+((224697 Gamma[3,128 π y])/(131072 (π^3) (q^32)))+((3108 Gamma[3,132 π y])/(1331 (π^3) (q^33)))+((140049 Gamma[3,136 π y])/(78608 (π^3) (q^34)))+((13932 Gamma[3,140 π y])/(6125 (π^3) (q^35)))+((37093 Gamma[3,144 π y])/(20736 (π^3) (q^36)))+((227943 Gamma[3,148 π y])/(101306 (π^3) (q^37)))+((5145 Gamma[3,152 π y])/(2888 (π^3) (q^38)))+((15386 Gamma[3,156 π y])/(6591 (π^3) (q^39)))+((221319 Gamma[3,160 π y])/(128000 (π^3) (q^40)))+((310149 Gamma[3,164 π y])/(137842 (π^3) (q^41)))+((817 Gamma[3,168 π y])/(441 (π^3) (q^42)))+((178893 Gamma[3,172 π y])/(79507 (π^3) (q^43)))+((146853 Gamma[3,176 π y])/(85184 (π^3) (q^44)))+((5299 Gamma[3,180 π y])/(2250 (π^3) (q^45)))+((86697 Gamma[3,184 π y])/(48668 (π^3) (q^46)))+((233604 Gamma[3,188 π y])/(103823 (π^3) (q^47)))+((21847 Gamma[3,192 π y])/(12288 (π^3) (q^48)))+((1061937 Gamma[3,196 π y])/(470596 (π^3) (q^49)))+((897807 Gamma[3,200 π y])/(500000 (π^3) (q^50)))+((3 Zeta[3])/(π^3));
lv4ph2y2e2=-((4 (Sqrt[3]) (Sqrt[q]))/(π^3))-((112 (q^(3/2)))/(9 (Sqrt[3]) (π^3)))-((504 (Sqrt[3]) (q^(5/2)))/(125 (π^3)))-((1376 (Sqrt[3]) (q^(7/2)))/(343 (π^3)))-((3028 (q^(9/2)))/(243 (Sqrt[3]) (π^3)))-((5328 (Sqrt[3]) (q^(11/2)))/(1331 (π^3)))-((8792 (Sqrt[3]) (q^(13/2)))/(2197 (π^3)))-((1568 (q^(15/2)))/(125 (Sqrt[3]) (π^3)))-((19656 (Sqrt[3]) (q^(17/2)))/(4913 (π^3)))-((27440 (Sqrt[3]) (q^(19/2)))/(6859 (π^3)))-((5504 (q^(21/2)))/(441 (Sqrt[3]) (π^3)))-((48672 (Sqrt[3]) (q^(23/2)))/(12167 (π^3)))-((63004 (Sqrt[3]) (q^(25/2)))/(15625 (π^3)))-((81760 (q^(27/2)))/(6561 (Sqrt[3]) (π^3)))-((97560 (Sqrt[3]) (q^(29/2)))/(24389 (π^3)))-((119168 (Sqrt[3]) (q^(31/2)))/(29791 (π^3)))-((16576 (q^(33/2)))/(1331 (Sqrt[3]) (π^3)))-((24768 (Sqrt[3]) (q^(35/2)))/(6125 (π^3)))-((202616 (Sqrt[3]) (q^(37/2)))/(50653 (π^3)))-((246176 (q^(39/2)))/(19773 (Sqrt[3]) (π^3)))-((275688 (Sqrt[3]) (q^(41/2)))/(68921 (π^3)))-((318032 (Sqrt[3]) (q^(43/2)))/(79507 (π^3)))-((42392 (q^(45/2)))/(3375 (Sqrt[3]) (π^3)))-((415296 (Sqrt[3]) (q^(47/2)))/(103823 (π^3)))-((471972 (Sqrt[3]) (q^(49/2)))/(117649 (π^3)))-((20384 (Sqrt[3]) (q^(51/2)))/(4913 (π^3)))-((595512 (Sqrt[3]) (q^(53/2)))/(148877 (π^3)))-((671328 (Sqrt[3]) (q^(55/2)))/(166375 (π^3)))-((768320 (q^(57/2)))/(61731 (Sqrt[3]) (π^3)))-((821520 (Sqrt[3]) (q^(59/2)))/(205379 (π^3)))-((907928 (Sqrt[3]) (q^(61/2)))/(226981 (π^3)))-((1041632 (q^(63/2)))/(83349 (Sqrt[3]) (π^3)))-((1107792 (Sqrt[3]) (q^(65/2)))/(274625 (π^3)))-((1203056 (Sqrt[3]) (q^(67/2)))/(300763 (π^3)))-((151424 (q^(69/2)))/(12167 (Sqrt[3]) (π^3)))-((1431648 (Sqrt[3]) (q^(71/2)))/(357911 (π^3)))-((1556072 (Sqrt[3]) (q^(73/2)))/(389017 (π^3)))-((1764112 (q^(75/2)))/(140625 (Sqrt[3]) (π^3)))-((1832832 (Sqrt[3]) (q^(77/2)))/(456533 (π^3)))-((1972160 (Sqrt[3]) (q^(79/2)))/(493039 (π^3)))-((2207524 (q^(81/2)))/(177147 (Sqrt[3]) (π^3)))-((2287152 (Sqrt[3]) (q^(83/2)))/(571787 (π^3)))-((2476656 (Sqrt[3]) (q^(85/2)))/(614125 (π^3)))-((303520 (q^(87/2)))/(24389 (Sqrt[3]) (π^3)))-((2819880 (Sqrt[3]) (q^(89/2)))/(704969 (π^3)))-((432064 (Sqrt[3]) (q^(91/2)))/(107653 (π^3)))-((3336704 (q^(93/2)))/(268119 (Sqrt[3]) (π^3)))-((691488 (Sqrt[3]) (q^(95/2)))/(171475 (π^3)))-((3650696 (Sqrt[3]) (q^(97/2)))/(912673 (π^3)))-((448144 (q^(99/2)))/(35937 (Sqrt[3]) (π^3)))-((2 (Sqrt[3]) Gamma[3,2 π y])/((π^3) (Sqrt[q])))-((56 Gamma[3,6 π y])/(9 (Sqrt[3]) (π^3) (q^(3/2))))-((252 (Sqrt[3]) Gamma[3,10 π y])/(125 (π^3) (q^(5/2))))-((688 (Sqrt[3]) Gamma[3,14 π y])/(343 (π^3) (q^(7/2))))-((1514 Gamma[3,18 π y])/(243 (Sqrt[3]) (π^3) (q^(9/2))))-((2664 (Sqrt[3]) Gamma[3,22 π y])/(1331 (π^3) (q^(11/2))))-((4396 (Sqrt[3]) Gamma[3,26 π y])/(2197 (π^3) (q^(13/2))))-((784 Gamma[3,30 π y])/(125 (Sqrt[3]) (π^3) (q^(15/2))))-((9828 (Sqrt[3]) Gamma[3,34 π y])/(4913 (π^3) (q^(17/2))))-((13720 (Sqrt[3]) Gamma[3,38 π y])/(6859 (π^3) (q^(19/2))))-((2752 Gamma[3,42 π y])/(441 (Sqrt[3]) (π^3) (q^(21/2))))-((24336 (Sqrt[3]) Gamma[3,46 π y])/(12167 (π^3) (q^(23/2))))-((31502 (Sqrt[3]) Gamma[3,50 π y])/(15625 (π^3) (q^(25/2))))-((40880 Gamma[3,54 π y])/(6561 (Sqrt[3]) (π^3) (q^(27/2))))-((48780 (Sqrt[3]) Gamma[3,58 π y])/(24389 (π^3) (q^(29/2))))-((59584 (Sqrt[3]) Gamma[3,62 π y])/(29791 (π^3) (q^(31/2))))-((8288 Gamma[3,66 π y])/(1331 (Sqrt[3]) (π^3) (q^(33/2))))-((12384 (Sqrt[3]) Gamma[3,70 π y])/(6125 (π^3) (q^(35/2))))-((101308 (Sqrt[3]) Gamma[3,74 π y])/(50653 (π^3) (q^(37/2))))-((123088 Gamma[3,78 π y])/(19773 (Sqrt[3]) (π^3) (q^(39/2))))-((137844 (Sqrt[3]) Gamma[3,82 π y])/(68921 (π^3) (q^(41/2))))-((159016 (Sqrt[3]) Gamma[3,86 π y])/(79507 (π^3) (q^(43/2))))-((21196 Gamma[3,90 π y])/(3375 (Sqrt[3]) (π^3) (q^(45/2))))-((207648 (Sqrt[3]) Gamma[3,94 π y])/(103823 (π^3) (q^(47/2))))-((235986 (Sqrt[3]) Gamma[3,98 π y])/(117649 (π^3) (q^(49/2))))-((10192 (Sqrt[3]) Gamma[3,102 π y])/(4913 (π^3) (q^(51/2))))-((297756 (Sqrt[3]) Gamma[3,106 π y])/(148877 (π^3) (q^(53/2))))-((335664 (Sqrt[3]) Gamma[3,110 π y])/(166375 (π^3) (q^(55/2))))-((384160 Gamma[3,114 π y])/(61731 (Sqrt[3]) (π^3) (q^(57/2))))-((410760 (Sqrt[3]) Gamma[3,118 π y])/(205379 (π^3) (q^(59/2))))-((453964 (Sqrt[3]) Gamma[3,122 π y])/(226981 (π^3) (q^(61/2))))-((520816 Gamma[3,126 π y])/(83349 (Sqrt[3]) (π^3) (q^(63/2))))-((553896 (Sqrt[3]) Gamma[3,130 π y])/(274625 (π^3) (q^(65/2))))-((601528 (Sqrt[3]) Gamma[3,134 π y])/(300763 (π^3) (q^(67/2))))-((75712 Gamma[3,138 π y])/(12167 (Sqrt[3]) (π^3) (q^(69/2))))-((715824 (Sqrt[3]) Gamma[3,142 π y])/(357911 (π^3) (q^(71/2))))-((778036 (Sqrt[3]) Gamma[3,146 π y])/(389017 (π^3) (q^(73/2))))-((882056 Gamma[3,150 π y])/(140625 (Sqrt[3]) (π^3) (q^(75/2))))-((916416 (Sqrt[3]) Gamma[3,154 π y])/(456533 (π^3) (q^(77/2))))-((986080 (Sqrt[3]) Gamma[3,158 π y])/(493039 (π^3) (q^(79/2))))-((1103762 Gamma[3,162 π y])/(177147 (Sqrt[3]) (π^3) (q^(81/2))))-((1143576 (Sqrt[3]) Gamma[3,166 π y])/(571787 (π^3) (q^(83/2))))-((1238328 (Sqrt[3]) Gamma[3,170 π y])/(614125 (π^3) (q^(85/2))))-((151760 Gamma[3,174 π y])/(24389 (Sqrt[3]) (π^3) (q^(87/2))))-((1409940 (Sqrt[3]) Gamma[3,178 π y])/(704969 (π^3) (q^(89/2))))-((216032 (Sqrt[3]) Gamma[3,182 π y])/(107653 (π^3) (q^(91/2))))-((1668352 Gamma[3,186 π y])/(268119 (Sqrt[3]) (π^3) (q^(93/2))))-((345744 (Sqrt[3]) Gamma[3,190 π y])/(171475 (π^3) (q^(95/2))))-((1825348 (Sqrt[3]) Gamma[3,194 π y])/(912673 (π^3) (q^(97/2))))-((224072 Gamma[3,198 π y])/(35937 (Sqrt[3]) (π^3) (q^(99/2))));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-2)))=(lv4ph2y3e1,lv4ph2y3e2,lv4ph2y3e3)

lv4ph2y3e1=-(q/(2 (π^3)))+((9 (q^2))/(16 (π^3)))-((14 (q^3))/(27 (π^3)))+((57 (q^4))/(128 (π^3)))-((63 (q^5))/(125 (π^3)))+((7 (q^6))/(12 (π^3)))-((172 (q^7))/(343 (π^3)))+((441 (q^8))/(1024 (π^3)))-((757 (q^9))/(1458 (π^3)))+((567 (q^10))/(1000 (π^3)))-((666 (q^11))/(1331 (π^3)))+((133 (q^12))/(288 (π^3)))-((1099 (q^13))/(2197 (π^3)))+((387 (q^14))/(686 (π^3)))-((196 (q^15))/(375 (π^3)))+((3513 (q^16))/(8192 (π^3)))-((2457 (q^17))/(4913 (π^3)))+((757 (q^18))/(1296 (π^3)))-((3430 (q^19))/(6859 (π^3)))+((3591 (q^20))/(8000 (π^3)))-((688 (q^21))/(1323 (π^3)))+((2997 (q^22))/(5324 (π^3)))-((6084 (q^23))/(12167 (π^3)))+((343 (q^24))/(768 (π^3)))-((15751 (q^25))/(31250 (π^3)))+((9891 (q^26))/(17576 (π^3)))-((10220 (q^27))/(19683 (π^3)))+((2451 (q^28))/(5488 (π^3)))-((12195 (q^29))/(24389 (π^3)))+((147 (q^30))/(250 (π^3)))-((14896 (q^31))/(29791 (π^3)))+((28089 (q^32))/(65536 (π^3)))-((2072 (q^33))/(3993 (π^3)))+((22113 (q^34))/(39304 (π^3)))-((3096 (q^35))/(6125 (π^3)))+((14383 (q^36))/(31104 (π^3)))-((25327 (q^37))/(50653 (π^3)))+((15435 (q^38))/(27436 (π^3)))-((30772 (q^39))/(59319 (π^3)))+((27783 (q^40))/(64000 (π^3)))-((34461 (q^41))/(68921 (π^3)))+((86 (q^42))/(147 (π^3)))-((39754 (q^43))/(79507 (π^3)))+((18981 (q^44))/(42592 (π^3)))-((5299 (q^45))/(10125 (π^3)))+((13689 (q^46))/(24334 (π^3)))-((51912 (q^47))/(103823 (π^3)))+((8197 (q^48))/(18432 (π^3)))-((117993 (q^49))/(235298 (π^3)))+((141759 (q^50))/(250000 (π^3)))+((y^3)/3)-((Gamma[3,4 π y])/(4 (π^3) q))+((9 Gamma[3,8 π y])/(32 (π^3) (q^2)))-((7 Gamma[3,12 π y])/(27 (π^3) (q^3)))+((57 Gamma[3,16 π y])/(256 (π^3) (q^4)))-((63 Gamma[3,20 π y])/(250 (π^3) (q^5)))+((7 Gamma[3,24 π y])/(24 (π^3) (q^6)))-((86 Gamma[3,28 π y])/(343 (π^3) (q^7)))+((441 Gamma[3,32 π y])/(2048 (π^3) (q^8)))-((757 Gamma[3,36 π y])/(2916 (π^3) (q^9)))+((567 Gamma[3,40 π y])/(2000 (π^3) (q^10)))-((333 Gamma[3,44 π y])/(1331 (π^3) (q^11)))+((133 Gamma[3,48 π y])/(576 (π^3) (q^12)))-((1099 Gamma[3,52 π y])/(4394 (π^3) (q^13)))+((387 Gamma[3,56 π y])/(1372 (π^3) (q^14)))-((98 Gamma[3,60 π y])/(375 (π^3) (q^15)))+((3513 Gamma[3,64 π y])/(16384 (π^3) (q^16)))-((2457 Gamma[3,68 π y])/(9826 (π^3) (q^17)))+((757 Gamma[3,72 π y])/(2592 (π^3) (q^18)))-((1715 Gamma[3,76 π y])/(6859 (π^3) (q^19)))+((3591 Gamma[3,80 π y])/(16000 (π^3) (q^20)))-((344 Gamma[3,84 π y])/(1323 (π^3) (q^21)))+((2997 Gamma[3,88 π y])/(10648 (π^3) (q^22)))-((3042 Gamma[3,92 π y])/(12167 (π^3) (q^23)))+((343 Gamma[3,96 π y])/(1536 (π^3) (q^24)))-((15751 Gamma[3,100 π y])/(62500 (π^3) (q^25)))+((9891 Gamma[3,104 π y])/(35152 (π^3) (q^26)))-((5110 Gamma[3,108 π y])/(19683 (π^3) (q^27)))+((2451 Gamma[3,112 π y])/(10976 (π^3) (q^28)))-((12195 Gamma[3,116 π y])/(48778 (π^3) (q^29)))+((147 Gamma[3,120 π y])/(500 (π^3) (q^30)))-((7448 Gamma[3,124 π y])/(29791 (π^3) (q^31)))+((28089 Gamma[3,128 π y])/(131072 (π^3) (q^32)))-((1036 Gamma[3,132 π y])/(3993 (π^3) (q^33)))+((22113 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((1548 Gamma[3,140 π y])/(6125 (π^3) (q^35)))+((14383 Gamma[3,144 π y])/(62208 (π^3) (q^36)))-((25327 Gamma[3,148 π y])/(101306 (π^3) (q^37)))+((15435 Gamma[3,152 π y])/(54872 (π^3) (q^38)))-((15386 Gamma[3,156 π y])/(59319 (π^3) (q^39)))+((27783 Gamma[3,160 π y])/(128000 (π^3) (q^40)))-((34461 Gamma[3,164 π y])/(137842 (π^3) (q^41)))+((43 Gamma[3,168 π y])/(147 (π^3) (q^42)))-((19877 Gamma[3,172 π y])/(79507 (π^3) (q^43)))+((18981 Gamma[3,176 π y])/(85184 (π^3) (q^44)))-((5299 Gamma[3,180 π y])/(20250 (π^3) (q^45)))+((13689 Gamma[3,184 π y])/(48668 (π^3) (q^46)))-((25956 Gamma[3,188 π y])/(103823 (π^3) (q^47)))+((8197 Gamma[3,192 π y])/(36864 (π^3) (q^48)))-((117993 Gamma[3,196 π y])/(470596 (π^3) (q^49)))+((141759 Gamma[3,200 π y])/(500000 (π^3) (q^50)))+((3 Zeta[3])/(8 (π^3)));
lv4ph2y3e2=-((4 (Sqrt[2]) (q^(1/4)))/(π^3))-((504 (Sqrt[2]) (q^(5/4)))/(125 (π^3)))-((3028 (Sqrt[2]) (q^(9/4)))/(729 (π^3)))-((8792 (Sqrt[2]) (q^(13/4)))/(2197 (π^3)))-((19656 (Sqrt[2]) (q^(17/4)))/(4913 (π^3)))-((5504 (Sqrt[2]) (q^(21/4)))/(1323 (π^3)))-((63004 (Sqrt[2]) (q^(25/4)))/(15625 (π^3)))-((97560 (Sqrt[2]) (q^(29/4)))/(24389 (π^3)))-((16576 (Sqrt[2]) (q^(33/4)))/(3993 (π^3)))-((202616 (Sqrt[2]) (q^(37/4)))/(50653 (π^3)))-((275688 (Sqrt[2]) (q^(41/4)))/(68921 (π^3)))-((42392 (Sqrt[2]) (q^(45/4)))/(10125 (π^3)))-((471972 (Sqrt[2]) (q^(49/4)))/(117649 (π^3)))-((595512 (Sqrt[2]) (q^(53/4)))/(148877 (π^3)))-((768320 (Sqrt[2]) (q^(57/4)))/(185193 (π^3)))-((907928 (Sqrt[2]) (q^(61/4)))/(226981 (π^3)))-((1107792 (Sqrt[2]) (q^(65/4)))/(274625 (π^3)))-((151424 (Sqrt[2]) (q^(69/4)))/(36501 (π^3)))-((1556072 (Sqrt[2]) (q^(73/4)))/(389017 (π^3)))-((1832832 (Sqrt[2]) (q^(77/4)))/(456533 (π^3)))-((2207524 (Sqrt[2]) (q^(81/4)))/(531441 (π^3)))-((2476656 (Sqrt[2]) (q^(85/4)))/(614125 (π^3)))-((2819880 (Sqrt[2]) (q^(89/4)))/(704969 (π^3)))-((3336704 (Sqrt[2]) (q^(93/4)))/(804357 (π^3)))-((3650696 (Sqrt[2]) (q^(97/4)))/(912673 (π^3)))-((4121208 (Sqrt[2]) (q^(101/4)))/(1030301 (π^3)))-((11008 (Sqrt[2]) (q^(105/4)))/(2625 (π^3)))-((5180120 (Sqrt[2]) (q^(109/4)))/(1295029 (π^3)))-((5771592 (Sqrt[2]) (q^(113/4)))/(1442897 (π^3)))-((6655544 (Sqrt[2]) (q^(117/4)))/(1601613 (π^3)))-((7091572 (Sqrt[2]) (q^(121/4)))/(1771561 (π^3)))-((7875504 (Sqrt[2]) (q^(125/4)))/(1953125 (π^3)))-((8904896 (Sqrt[2]) (q^(129/4)))/(2146689 (π^3)))-((27520 (Sqrt[2]) (q^(133/4)))/(6859 (π^3)))-((10285416 (Sqrt[2]) (q^(137/4)))/(2571353 (π^3)))-((1292032 (Sqrt[2]) (q^(141/4)))/(311469 (π^3)))-((2458512 (Sqrt[2]) (q^(145/4)))/(609725 (π^3)))-((13231800 (Sqrt[2]) (q^(149/4)))/(3307949 (π^3)))-((551096 (Sqrt[2]) (q^(153/4)))/(132651 (π^3)))-((15479576 (Sqrt[2]) (q^(157/4)))/(3869893 (π^3)))-((16743168 (Sqrt[2]) (q^(161/4)))/(4173281 (π^3)))-((696192 (Sqrt[2]) (q^(165/4)))/(166375 (π^3)))-((19316028 (Sqrt[2]) (q^(169/4)))/(4826809 (π^3)))-((20710872 (Sqrt[2]) (q^(173/4)))/(5177717 (π^3)))-((2555840 (Sqrt[2]) (q^(177/4)))/(616137 (π^3)))-((23718968 (Sqrt[2]) (q^(181/4)))/(5929741 (π^3)))-((25529616 (Sqrt[2]) (q^(185/4)))/(6331625 (π^3)))-((4017920 (Sqrt[2]) (q^(189/4)))/(964467 (π^3)))-((28756232 (Sqrt[2]) (q^(193/4)))/(7189057 (π^3)))-((30581496 (Sqrt[2]) (q^(197/4)))/(7645373 (π^3)))-((56 (Sqrt[2]) Gamma[3,3 π y])/(27 (π^3) (q^(3/4))))-((688 (Sqrt[2]) Gamma[3,7 π y])/(343 (π^3) (q^(7/4))))-((2664 (Sqrt[2]) Gamma[3,11 π y])/(1331 (π^3) (q^(11/4))))-((784 (Sqrt[2]) Gamma[3,15 π y])/(375 (π^3) (q^(15/4))))-((13720 (Sqrt[2]) Gamma[3,19 π y])/(6859 (π^3) (q^(19/4))))-((24336 (Sqrt[2]) Gamma[3,23 π y])/(12167 (π^3) (q^(23/4))))-((40880 (Sqrt[2]) Gamma[3,27 π y])/(19683 (π^3) (q^(27/4))))-((59584 (Sqrt[2]) Gamma[3,31 π y])/(29791 (π^3) (q^(31/4))))-((12384 (Sqrt[2]) Gamma[3,35 π y])/(6125 (π^3) (q^(35/4))))-((123088 (Sqrt[2]) Gamma[3,39 π y])/(59319 (π^3) (q^(39/4))))-((159016 (Sqrt[2]) Gamma[3,43 π y])/(79507 (π^3) (q^(43/4))))-((207648 (Sqrt[2]) Gamma[3,47 π y])/(103823 (π^3) (q^(47/4))))-((10192 (Sqrt[2]) Gamma[3,51 π y])/(4913 (π^3) (q^(51/4))))-((335664 (Sqrt[2]) Gamma[3,55 π y])/(166375 (π^3) (q^(55/4))))-((410760 (Sqrt[2]) Gamma[3,59 π y])/(205379 (π^3) (q^(59/4))))-((520816 (Sqrt[2]) Gamma[3,63 π y])/(250047 (π^3) (q^(63/4))))-((601528 (Sqrt[2]) Gamma[3,67 π y])/(300763 (π^3) (q^(67/4))))-((715824 (Sqrt[2]) Gamma[3,71 π y])/(357911 (π^3) (q^(71/4))))-((882056 (Sqrt[2]) Gamma[3,75 π y])/(421875 (π^3) (q^(75/4))))-((986080 (Sqrt[2]) Gamma[3,79 π y])/(493039 (π^3) (q^(79/4))))-((1143576 (Sqrt[2]) Gamma[3,83 π y])/(571787 (π^3) (q^(83/4))))-((151760 (Sqrt[2]) Gamma[3,87 π y])/(73167 (π^3) (q^(87/4))))-((216032 (Sqrt[2]) Gamma[3,91 π y])/(107653 (π^3) (q^(91/4))))-((345744 (Sqrt[2]) Gamma[3,95 π y])/(171475 (π^3) (q^(95/4))))-((224072 (Sqrt[2]) Gamma[3,99 π y])/(107811 (π^3) (q^(99/4))))-((2185456 (Sqrt[2]) Gamma[3,103 π y])/(1092727 (π^3) (q^(103/4))))-((2450088 (Sqrt[2]) Gamma[3,107 π y])/(1225043 (π^3) (q^(107/4))))-((2836624 (Sqrt[2]) Gamma[3,111 π y])/(1367631 (π^3) (q^(111/4))))-((3066336 (Sqrt[2]) Gamma[3,115 π y])/(1520875 (π^3) (q^(115/4))))-((482976 (Sqrt[2]) Gamma[3,119 π y])/(240737 (π^3) (q^(119/4))))-((428848 (Sqrt[2]) Gamma[3,123 π y])/(206763 (π^3) (q^(123/4))))-((4096768 (Sqrt[2]) Gamma[3,127 π y])/(2048383 (π^3) (q^(127/4))))-((4496184 (Sqrt[2]) Gamma[3,131 π y])/(2248091 (π^3) (q^(131/4))))-((114464 (Sqrt[2]) Gamma[3,135 π y])/(54675 (π^3) (q^(135/4))))-((5371240 (Sqrt[2]) Gamma[3,139 π y])/(2685619 (π^3) (q^(139/4))))-((5855472 (Sqrt[2]) Gamma[3,143 π y])/(2924207 (π^3) (q^(143/4))))-((314648 (Sqrt[2]) Gamma[3,147 π y])/(151263 (π^3) (q^(147/4))))-((6885904 (Sqrt[2]) Gamma[3,151 π y])/(3442951 (π^3) (q^(151/4))))-((7507584 (Sqrt[2]) Gamma[3,155 π y])/(3723875 (π^3) (q^(155/4))))-((308784 (Sqrt[2]) Gamma[3,159 π y])/(148877 (π^3) (q^(159/4))))-((8661496 (Sqrt[2]) Gamma[3,163 π y])/(4330747 (π^3) (q^(163/4))))-((9314928 (Sqrt[2]) Gamma[3,167 π y])/(4657463 (π^3) (q^(167/4))))-((10386040 (Sqrt[2]) Gamma[3,171 π y])/(5000211 (π^3) (q^(171/4))))-((10836688 (Sqrt[2]) Gamma[3,175 π y])/(5359375 (π^3) (q^(175/4))))-((11470680 (Sqrt[2]) Gamma[3,179 π y])/(5735339 (π^3) (q^(179/4))))-((12710992 (Sqrt[2]) Gamma[3,183 π y])/(6128487 (π^3) (q^(183/4))))-((13090896 (Sqrt[2]) Gamma[3,187 π y])/(6539203 (π^3) (q^(187/4))))-((13935744 (Sqrt[2]) Gamma[3,191 π y])/(6967871 (π^3) (q^(191/4))))-((1723232 (Sqrt[2]) Gamma[3,195 π y])/(823875 (π^3) (q^(195/4))))-((15761200 (Sqrt[2]) Gamma[3,199 π y])/(7880599 (π^3) (q^(199/4))));
lv4ph2y3e3=-((112 (Sqrt[2]) (q^(3/4)))/(27 (π^3)))-((1376 (Sqrt[2]) (q^(7/4)))/(343 (π^3)))-((5328 (Sqrt[2]) (q^(11/4)))/(1331 (π^3)))-((1568 (Sqrt[2]) (q^(15/4)))/(375 (π^3)))-((27440 (Sqrt[2]) (q^(19/4)))/(6859 (π^3)))-((48672 (Sqrt[2]) (q^(23/4)))/(12167 (π^3)))-((81760 (Sqrt[2]) (q^(27/4)))/(19683 (π^3)))-((119168 (Sqrt[2]) (q^(31/4)))/(29791 (π^3)))-((24768 (Sqrt[2]) (q^(35/4)))/(6125 (π^3)))-((246176 (Sqrt[2]) (q^(39/4)))/(59319 (π^3)))-((318032 (Sqrt[2]) (q^(43/4)))/(79507 (π^3)))-((415296 (Sqrt[2]) (q^(47/4)))/(103823 (π^3)))-((20384 (Sqrt[2]) (q^(51/4)))/(4913 (π^3)))-((671328 (Sqrt[2]) (q^(55/4)))/(166375 (π^3)))-((821520 (Sqrt[2]) (q^(59/4)))/(205379 (π^3)))-((1041632 (Sqrt[2]) (q^(63/4)))/(250047 (π^3)))-((1203056 (Sqrt[2]) (q^(67/4)))/(300763 (π^3)))-((1431648 (Sqrt[2]) (q^(71/4)))/(357911 (π^3)))-((1764112 (Sqrt[2]) (q^(75/4)))/(421875 (π^3)))-((1972160 (Sqrt[2]) (q^(79/4)))/(493039 (π^3)))-((2287152 (Sqrt[2]) (q^(83/4)))/(571787 (π^3)))-((303520 (Sqrt[2]) (q^(87/4)))/(73167 (π^3)))-((432064 (Sqrt[2]) (q^(91/4)))/(107653 (π^3)))-((691488 (Sqrt[2]) (q^(95/4)))/(171475 (π^3)))-((448144 (Sqrt[2]) (q^(99/4)))/(107811 (π^3)))-((4370912 (Sqrt[2]) (q^(103/4)))/(1092727 (π^3)))-((4900176 (Sqrt[2]) (q^(107/4)))/(1225043 (π^3)))-((5673248 (Sqrt[2]) (q^(111/4)))/(1367631 (π^3)))-((6132672 (Sqrt[2]) (q^(115/4)))/(1520875 (π^3)))-((965952 (Sqrt[2]) (q^(119/4)))/(240737 (π^3)))-((857696 (Sqrt[2]) (q^(123/4)))/(206763 (π^3)))-((8193536 (Sqrt[2]) (q^(127/4)))/(2048383 (π^3)))-((8992368 (Sqrt[2]) (q^(131/4)))/(2248091 (π^3)))-((228928 (Sqrt[2]) (q^(135/4)))/(54675 (π^3)))-((10742480 (Sqrt[2]) (q^(139/4)))/(2685619 (π^3)))-((11710944 (Sqrt[2]) (q^(143/4)))/(2924207 (π^3)))-((629296 (Sqrt[2]) (q^(147/4)))/(151263 (π^3)))-((13771808 (Sqrt[2]) (q^(151/4)))/(3442951 (π^3)))-((15015168 (Sqrt[2]) (q^(155/4)))/(3723875 (π^3)))-((617568 (Sqrt[2]) (q^(159/4)))/(148877 (π^3)))-((17322992 (Sqrt[2]) (q^(163/4)))/(4330747 (π^3)))-((18629856 (Sqrt[2]) (q^(167/4)))/(4657463 (π^3)))-((20772080 (Sqrt[2]) (q^(171/4)))/(5000211 (π^3)))-((21673376 (Sqrt[2]) (q^(175/4)))/(5359375 (π^3)))-((22941360 (Sqrt[2]) (q^(179/4)))/(5735339 (π^3)))-((25421984 (Sqrt[2]) (q^(183/4)))/(6128487 (π^3)))-((26181792 (Sqrt[2]) (q^(187/4)))/(6539203 (π^3)))-((27871488 (Sqrt[2]) (q^(191/4)))/(6967871 (π^3)))-((3446464 (Sqrt[2]) (q^(195/4)))/(823875 (π^3)))-((31522400 (Sqrt[2]) (q^(199/4)))/(7880599 (π^3)))-((2 (Sqrt[2]) Gamma[3,π y])/((π^3) (q^(1/4))))-((252 (Sqrt[2]) Gamma[3,5 π y])/(125 (π^3) (q^(5/4))))-((1514 (Sqrt[2]) Gamma[3,9 π y])/(729 (π^3) (q^(9/4))))-((4396 (Sqrt[2]) Gamma[3,13 π y])/(2197 (π^3) (q^(13/4))))-((9828 (Sqrt[2]) Gamma[3,17 π y])/(4913 (π^3) (q^(17/4))))-((2752 (Sqrt[2]) Gamma[3,21 π y])/(1323 (π^3) (q^(21/4))))-((31502 (Sqrt[2]) Gamma[3,25 π y])/(15625 (π^3) (q^(25/4))))-((48780 (Sqrt[2]) Gamma[3,29 π y])/(24389 (π^3) (q^(29/4))))-((8288 (Sqrt[2]) Gamma[3,33 π y])/(3993 (π^3) (q^(33/4))))-((101308 (Sqrt[2]) Gamma[3,37 π y])/(50653 (π^3) (q^(37/4))))-((137844 (Sqrt[2]) Gamma[3,41 π y])/(68921 (π^3) (q^(41/4))))-((21196 (Sqrt[2]) Gamma[3,45 π y])/(10125 (π^3) (q^(45/4))))-((235986 (Sqrt[2]) Gamma[3,49 π y])/(117649 (π^3) (q^(49/4))))-((297756 (Sqrt[2]) Gamma[3,53 π y])/(148877 (π^3) (q^(53/4))))-((384160 (Sqrt[2]) Gamma[3,57 π y])/(185193 (π^3) (q^(57/4))))-((453964 (Sqrt[2]) Gamma[3,61 π y])/(226981 (π^3) (q^(61/4))))-((553896 (Sqrt[2]) Gamma[3,65 π y])/(274625 (π^3) (q^(65/4))))-((75712 (Sqrt[2]) Gamma[3,69 π y])/(36501 (π^3) (q^(69/4))))-((778036 (Sqrt[2]) Gamma[3,73 π y])/(389017 (π^3) (q^(73/4))))-((916416 (Sqrt[2]) Gamma[3,77 π y])/(456533 (π^3) (q^(77/4))))-((1103762 (Sqrt[2]) Gamma[3,81 π y])/(531441 (π^3) (q^(81/4))))-((1238328 (Sqrt[2]) Gamma[3,85 π y])/(614125 (π^3) (q^(85/4))))-((1409940 (Sqrt[2]) Gamma[3,89 π y])/(704969 (π^3) (q^(89/4))))-((1668352 (Sqrt[2]) Gamma[3,93 π y])/(804357 (π^3) (q^(93/4))))-((1825348 (Sqrt[2]) Gamma[3,97 π y])/(912673 (π^3) (q^(97/4))))-((2060604 (Sqrt[2]) Gamma[3,101 π y])/(1030301 (π^3) (q^(101/4))))-((5504 (Sqrt[2]) Gamma[3,105 π y])/(2625 (π^3) (q^(105/4))))-((2590060 (Sqrt[2]) Gamma[3,109 π y])/(1295029 (π^3) (q^(109/4))))-((2885796 (Sqrt[2]) Gamma[3,113 π y])/(1442897 (π^3) (q^(113/4))))-((3327772 (Sqrt[2]) Gamma[3,117 π y])/(1601613 (π^3) (q^(117/4))))-((3545786 (Sqrt[2]) Gamma[3,121 π y])/(1771561 (π^3) (q^(121/4))))-((3937752 (Sqrt[2]) Gamma[3,125 π y])/(1953125 (π^3) (q^(125/4))))-((4452448 (Sqrt[2]) Gamma[3,129 π y])/(2146689 (π^3) (q^(129/4))))-((13760 (Sqrt[2]) Gamma[3,133 π y])/(6859 (π^3) (q^(133/4))))-((5142708 (Sqrt[2]) Gamma[3,137 π y])/(2571353 (π^3) (q^(137/4))))-((646016 (Sqrt[2]) Gamma[3,141 π y])/(311469 (π^3) (q^(141/4))))-((1229256 (Sqrt[2]) Gamma[3,145 π y])/(609725 (π^3) (q^(145/4))))-((6615900 (Sqrt[2]) Gamma[3,149 π y])/(3307949 (π^3) (q^(149/4))))-((275548 (Sqrt[2]) Gamma[3,153 π y])/(132651 (π^3) (q^(153/4))))-((7739788 (Sqrt[2]) Gamma[3,157 π y])/(3869893 (π^3) (q^(157/4))))-((8371584 (Sqrt[2]) Gamma[3,161 π y])/(4173281 (π^3) (q^(161/4))))-((348096 (Sqrt[2]) Gamma[3,165 π y])/(166375 (π^3) (q^(165/4))))-((9658014 (Sqrt[2]) Gamma[3,169 π y])/(4826809 (π^3) (q^(169/4))))-((10355436 (Sqrt[2]) Gamma[3,173 π y])/(5177717 (π^3) (q^(173/4))))-((1277920 (Sqrt[2]) Gamma[3,177 π y])/(616137 (π^3) (q^(177/4))))-((11859484 (Sqrt[2]) Gamma[3,181 π y])/(5929741 (π^3) (q^(181/4))))-((12764808 (Sqrt[2]) Gamma[3,185 π y])/(6331625 (π^3) (q^(185/4))))-((2008960 (Sqrt[2]) Gamma[3,189 π y])/(964467 (π^3) (q^(189/4))))-((14378116 (Sqrt[2]) Gamma[3,193 π y])/(7189057 (π^3) (q^(193/4))))-((15290748 (Sqrt[2]) Gamma[3,197 π y])/(7645373 (π^3) (q^(197/4))));

weight -4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-4)))=lv4ph4y1

lv4ph4y1=((189 q)/(16 (π^5)))+((6237 (q^2))/(512 (π^5)))+((427 (q^3))/(36 (π^5)))+((199773 (q^4))/(16384 (π^5)))+((295407 (q^5))/(25000 (π^5)))+((4697 (q^6))/(384 (π^5)))+((56727 (q^7))/(4802 (π^5)))+((6392925 (q^8))/(524288 (π^5)))+((415051 (q^9))/(34992 (π^5)))+((9748431 (q^10))/(800000 (π^5)))+((7609707 (q^11))/(644204 (π^5)))+((451339 (q^12))/(36864 (π^5)))+((35087283 (q^13))/(2970344 (π^5)))+((1871991 (q^14))/(153664 (π^5)))+((222467 (q^15))/(18750 (π^5)))+((204573789 (q^16))/(16777216 (π^5)))+((134176581 (q^17))/(11358856 (π^5)))+((4565561 (q^18))/(373248 (π^5)))+((116995725 (q^19))/(9904396 (π^5)))+((312245199 (q^20))/(25600000 (π^5)))+((256322 (q^21))/(21609 (π^5)))+((22829121 (q^22))/(1874048 (π^5)))+((152058627 (q^23))/(12872686 (π^5)))+((4814425 (q^24))/(393216 (π^5)))+((1846293939 (q^25))/(156250000 (π^5)))+((1157880339 (q^26))/(95051008 (π^5)))+((12607175 (q^27))/(1062882 (π^5)))+((8565777 (q^28))/(702464 (π^5)))+((1938303675 (q^29))/(164089192 (π^5)))+((2447137 (q^30))/(200000 (π^5)))+((338181858 (q^31))/(28629151 (π^5)))+((6546361437 (q^32))/(536870912 (π^5)))+((5730767 (q^33))/(483153 (π^5)))+((4427827173 (q^34))/(363483392 (π^5)))+((88664301 (q^35))/(7503125 (π^5)))+((438708907 (q^36))/(35831808 (π^5)))+((6553004031 (q^37))/(554751656 (π^5)))+((3860858925 (q^38))/(316940672 (π^5)))+((79271269 (q^39))/(6683274 (π^5)))+((399685671 (q^40))/(32768000 (π^5)))+((10948411089 (q^41))/(926849608 (π^5)))+((1409771 (q^42))/(115248 (π^5)))+((6946148979 (q^43))/(588033772 (π^5)))+((8043460299 (q^44))/(659664896 (π^5)))+((216241571 (q^45))/(18225000 (π^5)))+((5017934691 (q^46))/(411925952 (π^5)))+((2709137907 (q^47))/(229345007 (π^5)))+((462185227 (q^48))/(37748736 (π^5)))+((7627285539 (q^49))/(645657712 (π^5)))+((60927699987 (q^50))/(5000000000 (π^5)))+((y^5)/5)+((63 Gamma[5,4 π y])/(128 (π^5) q))+((2079 Gamma[5,8 π y])/(4096 (π^5) (q^2)))+((427 Gamma[5,12 π y])/(864 (π^5) (q^3)))+((66591 Gamma[5,16 π y])/(131072 (π^5) (q^4)))+((98469 Gamma[5,20 π y])/(200000 (π^5) (q^5)))+((4697 Gamma[5,24 π y])/(9216 (π^5) (q^6)))+((18909 Gamma[5,28 π y])/(38416 (π^5) (q^7)))+((2130975 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))+((415051 Gamma[5,36 π y])/(839808 (π^5) (q^9)))+((3249477 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))+((2536569 Gamma[5,44 π y])/(5153632 (π^5) (q^11)))+((451339 Gamma[5,48 π y])/(884736 (π^5) (q^12)))+((11695761 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))+((623997 Gamma[5,56 π y])/(1229312 (π^5) (q^14)))+((222467 Gamma[5,60 π y])/(450000 (π^5) (q^15)))+((68191263 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))+((44725527 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))+((4565561 Gamma[5,72 π y])/(8957952 (π^5) (q^18)))+((38998575 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))+((104081733 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))+((128161 Gamma[5,84 π y])/(259308 (π^5) (q^21)))+((7609707 Gamma[5,88 π y])/(14992384 (π^5) (q^22)))+((50686209 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))+((4814425 Gamma[5,96 π y])/(9437184 (π^5) (q^24)))+((615431313 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))+((385960113 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))+((12607175 Gamma[5,108 π y])/(25509168 (π^5) (q^27)))+((2855259 Gamma[5,112 π y])/(5619712 (π^5) (q^28)))+((646101225 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))+((2447137 Gamma[5,120 π y])/(4800000 (π^5) (q^30)))+((56363643 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))+((2182120479 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))+((5730767 Gamma[5,132 π y])/(11595672 (π^5) (q^33)))+((1475942391 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))+((29554767 Gamma[5,140 π y])/(60025000 (π^5) (q^35)))+((438708907 Gamma[5,144 π y])/(859963392 (π^5) (q^36)))+((2184334677 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))+((1286952975 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))+((79271269 Gamma[5,156 π y])/(160398576 (π^5) (q^39)))+((133228557 Gamma[5,160 π y])/(262144000 (π^5) (q^40)))+((3649470363 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))+((1409771 Gamma[5,168 π y])/(2765952 (π^5) (q^42)))+((2315382993 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))+((2681153433 Gamma[5,176 π y])/(5277319168 (π^5) (q^44)))+((216241571 Gamma[5,180 π y])/(437400000 (π^5) (q^45)))+((1672644897 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))+((903045969 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))+((462185227 Gamma[5,192 π y])/(905969664 (π^5) (q^48)))+((2542428513 Gamma[5,196 π y])/(5165261696 (π^5) (q^49)))+((20309233329 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))+((189 Zeta[5])/(16 (π^5)));

(Subscript[ρ, r])=2

(Subscript[Y, 2]^((-4)))=(lv4ph4y2e1,lv4ph4y2e2)

lv4ph4y2e1=-((99 q)/(16 (π^5)))-((2979 (q^2))/(512 (π^5)))-((671 (q^3))/(108 (π^5)))-((95139 (q^4))/(16384 (π^5)))-((154737 (q^5))/(25000 (π^5)))-((20191 (q^6))/(3456 (π^5)))-((207999 (q^7))/(33614 (π^5)))-((3044259 (q^8))/(524288 (π^5)))-((652223 (q^9))/(104976 (π^5)))-((4656177 (q^10))/(800000 (π^5)))-((362367 (q^11))/(58564 (π^5)))-((644831 (q^12))/(110592 (π^5)))-((18379053 (q^13))/(2970344 (π^5)))-((6258879 (q^14))/(1075648 (π^5)))-((349591 (q^15))/(56250 (π^5)))-((97416099 (q^16))/(16777216 (π^5)))-((70282971 (q^17))/(11358856 (π^5)))-((19625983 (q^18))/(3359232 (π^5)))-((61283475 (q^19))/(9904396 (π^5)))-((148702257 (q^20))/(25600000 (π^5)))-((2819542 (q^21))/(453789 (π^5)))-((119943477 (q^22))/(20614528 (π^5)))-((79649757 (q^23))/(12872686 (π^5)))-((20633311 (q^24))/(3538944 (π^5)))-((967106349 (q^25))/(156250000 (π^5)))-((553042413 (q^26))/(95051008 (π^5)))-((19811275 (q^27))/(3188646 (π^5)))-((199887039 (q^28))/(34420736 (π^5)))-((1015301925 (q^29))/(164089192 (π^5)))-((10519511 (q^30))/(1800000 (π^5)))-((177142878 (q^31))/(28629151 (π^5)))-((3117314979 (q^32))/(536870912 (π^5)))-((818681 (q^33))/(131769 (π^5)))-((2114878491 (q^34))/(363483392 (π^5)))-((325102437 (q^35))/(52521875 (π^5)))-((626786303 (q^36))/(107495424 (π^5)))-((3432525921 (q^37))/(554751656 (π^5)))-((1844075475 (q^38))/(316940672 (π^5)))-((124569137 (q^39))/(20049822 (π^5)))-((4758176817 (q^40))/(819200000 (π^5)))-((5734881999 (q^41))/(926849608 (π^5)))-((42421291 (q^42))/(7260624 (π^5)))-((3638458989 (q^43))/(588033772 (π^5)))-((348234687 (q^44))/(59969536 (π^5)))-((339808183 (q^45))/(54675000 (π^5)))-((2396733597 (q^46))/(411925952 (π^5)))-((1419072237 (q^47))/(229345007 (π^5)))-((660264671 (q^48))/(113246208 (π^5)))-((27966713643 (q^49))/(4519603984 (π^5)))-((29101109229 (q^50))/(5000000000 (π^5)))+((y^5)/5)-((33 Gamma[5,4 π y])/(128 (π^5) q))-((993 Gamma[5,8 π y])/(4096 (π^5) (q^2)))-((671 Gamma[5,12 π y])/(2592 (π^5) (q^3)))-((31713 Gamma[5,16 π y])/(131072 (π^5) (q^4)))-((51579 Gamma[5,20 π y])/(200000 (π^5) (q^5)))-((20191 Gamma[5,24 π y])/(82944 (π^5) (q^6)))-((69333 Gamma[5,28 π y])/(268912 (π^5) (q^7)))-((1014753 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))-((652223 Gamma[5,36 π y])/(2519424 (π^5) (q^9)))-((1552059 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))-((120789 Gamma[5,44 π y])/(468512 (π^5) (q^11)))-((644831 Gamma[5,48 π y])/(2654208 (π^5) (q^12)))-((6126351 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))-((2086293 Gamma[5,56 π y])/(8605184 (π^5) (q^14)))-((349591 Gamma[5,60 π y])/(1350000 (π^5) (q^15)))-((32472033 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))-((23427657 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))-((19625983 Gamma[5,72 π y])/(80621568 (π^5) (q^18)))-((20427825 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))-((49567419 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))-((1409771 Gamma[5,84 π y])/(5445468 (π^5) (q^21)))-((39981159 Gamma[5,88 π y])/(164916224 (π^5) (q^22)))-((26549919 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))-((20633311 Gamma[5,96 π y])/(84934656 (π^5) (q^24)))-((322368783 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))-((184347471 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))-((19811275 Gamma[5,108 π y])/(76527504 (π^5) (q^27)))-((66629013 Gamma[5,112 π y])/(275365888 (π^5) (q^28)))-((338433975 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))-((10519511 Gamma[5,120 π y])/(43200000 (π^5) (q^30)))-((29523813 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))-((1039104993 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))-((818681 Gamma[5,132 π y])/(3162456 (π^5) (q^33)))-((704959497 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))-((108367479 Gamma[5,140 π y])/(420175000 (π^5) (q^35)))-((626786303 Gamma[5,144 π y])/(2579890176 (π^5) (q^36)))-((1144175307 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))-((614691825 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))-((124569137 Gamma[5,156 π y])/(481195728 (π^5) (q^39)))-((1586058939 Gamma[5,160 π y])/(6553600000 (π^5) (q^40)))-((1911627333 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))-((42421291 Gamma[5,168 π y])/(174254976 (π^5) (q^42)))-((1212819663 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))-((116078229 Gamma[5,176 π y])/(479756288 (π^5) (q^44)))-((339808183 Gamma[5,180 π y])/(1312200000 (π^5) (q^45)))-((798911199 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))-((473024079 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))-((660264671 Gamma[5,192 π y])/(2717908992 (π^5) (q^48)))-((9322237881 Gamma[5,196 π y])/(36156831872 (π^5) (q^49)))-((9700369743 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))-((45 Zeta[5])/(8 (π^5)));
lv4ph4y2e2=((6 (Sqrt[3]) (Sqrt[q]))/(π^5))+((488 (q^(3/2)))/(27 (Sqrt[3]) (π^5)))+((18756 (Sqrt[3]) (q^(5/2)))/(3125 (π^5)))+((100848 (Sqrt[3]) (q^(7/2)))/(16807 (π^5)))+((118586 (q^(9/2)))/(6561 (Sqrt[3]) (π^5)))+((966312 (Sqrt[3]) (q^(11/2)))/(161051 (π^5)))+((2227764 (Sqrt[3]) (q^(13/2)))/(371293 (π^5)))+((508496 (q^(15/2)))/(28125 (Sqrt[3]) (π^5)))+((8519148 (Sqrt[3]) (q^(17/2)))/(1419857 (π^5)))+((14856600 (Sqrt[3]) (q^(19/2)))/(2476099 (π^5)))+((8202304 (q^(21/2)))/(453789 (Sqrt[3]) (π^5)))+((38618064 (Sqrt[3]) (q^(23/2)))/(6436343 (π^5)))+((58612506 (Sqrt[3]) (q^(25/2)))/(9765625 (π^5)))+((28816400 (q^(27/2)))/(1594323 (Sqrt[3]) (π^5)))+((123066900 (Sqrt[3]) (q^(29/2)))/(20511149 (π^5)))+((171774912 (Sqrt[3]) (q^(31/2)))/(28629151 (π^5)))+((26197792 (q^(33/2)))/(1449459 (Sqrt[3]) (π^5)))+((315250848 (Sqrt[3]) (q^(35/2)))/(52521875 (π^5)))+((416063748 (Sqrt[3]) (q^(37/2)))/(69343957 (π^5)))+((181191472 (q^(39/2)))/(10024911 (Sqrt[3]) (π^5)))+((695137212 (Sqrt[3]) (q^(41/2)))/(115856201 (π^5)))+((882050664 (Sqrt[3]) (q^(43/2)))/(147008443 (π^5)))+((123566612 (q^(45/2)))/(6834375 (Sqrt[3]) (π^5)))+((1376070048 (Sqrt[3]) (q^(47/2)))/(229345007 (π^5)))+((1694952342 (Sqrt[3]) (q^(49/2)))/(282475249 (π^5)))+((76987856 (q^(51/2)))/(4259571 (Sqrt[3]) (π^5)))+((2509172964 (Sqrt[3]) (q^(53/2)))/(418195493 (π^5)))+((3020691312 (Sqrt[3]) (q^(55/2)))/(503284375 (π^5)))+((1208336800 (q^(57/2)))/(66854673 (Sqrt[3]) (π^5)))+((4289545800 (Sqrt[3]) (q^(59/2)))/(714924299 (π^5)))+((5067577812 (Sqrt[3]) (q^(61/2)))/(844596301 (π^5)))+((1993193488 (q^(63/2)))/(110270727 (Sqrt[3]) (π^5)))+((6963990264 (Sqrt[3]) (q^(65/2)))/(1160290625 (π^5)))+((8100750648 (Sqrt[3]) (q^(67/2)))/(1350125107 (π^5)))+((1046978624 (q^(69/2)))/(57927087 (Sqrt[3]) (π^5)))+((10825376112 (Sqrt[3]) (q^(71/2)))/(1804229351 (π^5)))+((12438429564 (Sqrt[3]) (q^(73/2)))/(2073071593 (π^5)))+((4767150488 (q^(75/2)))/(263671875 (Sqrt[3]) (π^5)))+((1476524736 (Sqrt[3]) (q^(77/2)))/(246071287 (π^5)))+((18462338400 (Sqrt[3]) (q^(79/2)))/(3077056399 (π^5)))+((7002385202 (q^(81/2)))/(387420489 (Sqrt[3]) (π^5)))+((23634243864 (Sqrt[3]) (q^(83/2)))/(3939040643 (π^5)))+((26630856648 (Sqrt[3]) (q^(85/2)))/(4437053125 (π^5)))+((3336480400 (q^(87/2)))/(184600341 (Sqrt[3]) (π^5)))+((33504356700 (Sqrt[3]) (q^(89/2)))/(5584059449 (π^5)))+((5349179616 (Sqrt[3]) (q^(91/2)))/(891474493 (π^5)))+((13971026176 (q^(93/2)))/(772987077 (Sqrt[3]) (π^5)))+((1857669264 (Sqrt[3]) (q^(95/2)))/(309512375 (π^5)))+((51524041548 (Sqrt[3]) (q^(97/2)))/(8587340257 (π^5)))+((6366170824 (q^(99/2)))/(352218537 (Sqrt[3]) (π^5)))+(((Sqrt[3]) Gamma[5,2 π y])/(4 (π^5) (Sqrt[q])))+((61 Gamma[5,6 π y])/(81 (Sqrt[3]) (π^5) (q^(3/2))))+((1563 (Sqrt[3]) Gamma[5,10 π y])/(6250 (π^5) (q^(5/2))))+((4202 (Sqrt[3]) Gamma[5,14 π y])/(16807 (π^5) (q^(7/2))))+((59293 Gamma[5,18 π y])/(78732 (Sqrt[3]) (π^5) (q^(9/2))))+((40263 (Sqrt[3]) Gamma[5,22 π y])/(161051 (π^5) (q^(11/2))))+((185647 (Sqrt[3]) Gamma[5,26 π y])/(742586 (π^5) (q^(13/2))))+((63562 Gamma[5,30 π y])/(84375 (Sqrt[3]) (π^5) (q^(15/2))))+((709929 (Sqrt[3]) Gamma[5,34 π y])/(2839714 (π^5) (q^(17/2))))+((619025 (Sqrt[3]) Gamma[5,38 π y])/(2476099 (π^5) (q^(19/2))))+((1025288 Gamma[5,42 π y])/(1361367 (Sqrt[3]) (π^5) (q^(21/2))))+((1609086 (Sqrt[3]) Gamma[5,46 π y])/(6436343 (π^5) (q^(23/2))))+((9768751 (Sqrt[3]) Gamma[5,50 π y])/(39062500 (π^5) (q^(25/2))))+((3602050 Gamma[5,54 π y])/(4782969 (Sqrt[3]) (π^5) (q^(27/2))))+((10255575 (Sqrt[3]) Gamma[5,58 π y])/(41022298 (π^5) (q^(29/2))))+((7157288 (Sqrt[3]) Gamma[5,62 π y])/(28629151 (π^5) (q^(31/2))))+((3274724 Gamma[5,66 π y])/(4348377 (Sqrt[3]) (π^5) (q^(33/2))))+((13135452 (Sqrt[3]) Gamma[5,70 π y])/(52521875 (π^5) (q^(35/2))))+((34671979 (Sqrt[3]) Gamma[5,74 π y])/(138687914 (π^5) (q^(37/2))))+((22648934 Gamma[5,78 π y])/(30074733 (Sqrt[3]) (π^5) (q^(39/2))))+((57928101 (Sqrt[3]) Gamma[5,82 π y])/(231712402 (π^5) (q^(41/2))))+((36752111 (Sqrt[3]) Gamma[5,86 π y])/(147008443 (π^5) (q^(43/2))))+((30891653 Gamma[5,90 π y])/(41006250 (Sqrt[3]) (π^5) (q^(45/2))))+((57336252 (Sqrt[3]) Gamma[5,94 π y])/(229345007 (π^5) (q^(47/2))))+((282492057 (Sqrt[3]) Gamma[5,98 π y])/(1129900996 (π^5) (q^(49/2))))+((9623482 Gamma[5,102 π y])/(12778713 (Sqrt[3]) (π^5) (q^(51/2))))+((209097747 (Sqrt[3]) Gamma[5,106 π y])/(836390986 (π^5) (q^(53/2))))+((125862138 (Sqrt[3]) Gamma[5,110 π y])/(503284375 (π^5) (q^(55/2))))+((151042100 Gamma[5,114 π y])/(200564019 (Sqrt[3]) (π^5) (q^(57/2))))+((178731075 (Sqrt[3]) Gamma[5,118 π y])/(714924299 (π^5) (q^(59/2))))+((422298151 (Sqrt[3]) Gamma[5,122 π y])/(1689192602 (π^5) (q^(61/2))))+((249149186 Gamma[5,126 π y])/(330812181 (Sqrt[3]) (π^5) (q^(63/2))))+((290166261 (Sqrt[3]) Gamma[5,130 π y])/(1160290625 (π^5) (q^(65/2))))+((337531277 (Sqrt[3]) Gamma[5,134 π y])/(1350125107 (π^5) (q^(67/2))))+((130872328 Gamma[5,138 π y])/(173781261 (Sqrt[3]) (π^5) (q^(69/2))))+((451057338 (Sqrt[3]) Gamma[5,142 π y])/(1804229351 (π^5) (q^(71/2))))+((1036535797 (Sqrt[3]) Gamma[5,146 π y])/(4146143186 (π^5) (q^(73/2))))+((595893811 Gamma[5,150 π y])/(791015625 (Sqrt[3]) (π^5) (q^(75/2))))+((61521864 (Sqrt[3]) Gamma[5,154 π y])/(246071287 (π^5) (q^(77/2))))+((769264100 (Sqrt[3]) Gamma[5,158 π y])/(3077056399 (π^5) (q^(79/2))))+((3501192601 Gamma[5,162 π y])/(4649045868 (Sqrt[3]) (π^5) (q^(81/2))))+((984760161 (Sqrt[3]) Gamma[5,166 π y])/(3939040643 (π^5) (q^(83/2))))+((1109619027 (Sqrt[3]) Gamma[5,170 π y])/(4437053125 (π^5) (q^(85/2))))+((417060050 Gamma[5,174 π y])/(553801023 (Sqrt[3]) (π^5) (q^(87/2))))+((2792029725 (Sqrt[3]) Gamma[5,178 π y])/(11168118898 (π^5) (q^(89/2))))+((222882484 (Sqrt[3]) Gamma[5,182 π y])/(891474493 (π^5) (q^(91/2))))+((1746378272 Gamma[5,186 π y])/(2318961231 (Sqrt[3]) (π^5) (q^(93/2))))+((77402886 (Sqrt[3]) Gamma[5,190 π y])/(309512375 (π^5) (q^(95/2))))+((4293670129 (Sqrt[3]) Gamma[5,194 π y])/(17174680514 (π^5) (q^(97/2))))+((795771353 Gamma[5,198 π y])/(1056655611 (Sqrt[3]) (π^5) (q^(99/2))));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-4)))=(lv4ph4y3e1,lv4ph4y3e2,lv4ph4y3e3)

lv4ph4y3e1=((3 q)/(16 (π^5)))-((99 (q^2))/(512 (π^5)))+((61 (q^3))/(324 (π^5)))-((2979 (q^4))/(16384 (π^5)))+((4689 (q^5))/(25000 (π^5)))-((671 (q^6))/(3456 (π^5)))+((6303 (q^7))/(33614 (π^5)))-((95139 (q^8))/(524288 (π^5)))+((59293 (q^9))/(314928 (π^5)))-((154737 (q^10))/(800000 (π^5)))+((120789 (q^11))/(644204 (π^5)))-((20191 (q^12))/(110592 (π^5)))+((556941 (q^13))/(2970344 (π^5)))-((207999 (q^14))/(1075648 (π^5)))+((31781 (q^15))/(168750 (π^5)))-((3044259 (q^16))/(16777216 (π^5)))+((2129787 (q^17))/(11358856 (π^5)))-((652223 (q^18))/(3359232 (π^5)))+((1857075 (q^19))/(9904396 (π^5)))-((4656177 (q^20))/(25600000 (π^5)))+((256322 (q^21))/(1361367 (π^5)))-((362367 (q^22))/(1874048 (π^5)))+((2413629 (q^23))/(12872686 (π^5)))-((644831 (q^24))/(3538944 (π^5)))+((29306253 (q^25))/(156250000 (π^5)))-((18379053 (q^26))/(95051008 (π^5)))+((1801025 (q^27))/(9565938 (π^5)))-((6258879 (q^28))/(34420736 (π^5)))+((30766725 (q^29))/(164089192 (π^5)))-((349591 (q^30))/(1800000 (π^5)))+((5367966 (q^31))/(28629151 (π^5)))-((97416099 (q^32))/(536870912 (π^5)))+((818681 (q^33))/(4348377 (π^5)))-((70282971 (q^34))/(363483392 (π^5)))+((9851589 (q^35))/(52521875 (π^5)))-((19625983 (q^36))/(107495424 (π^5)))+((104015937 (q^37))/(554751656 (π^5)))-((61283475 (q^38))/(316940672 (π^5)))+((11324467 (q^39))/(60149466 (π^5)))-((148702257 (q^40))/(819200000 (π^5)))+((173784303 (q^41))/(926849608 (π^5)))-((1409771 (q^42))/(7260624 (π^5)))+((110256333 (q^43))/(588033772 (π^5)))-((119943477 (q^44))/(659664896 (π^5)))+((30891653 (q^45))/(164025000 (π^5)))-((79649757 (q^46))/(411925952 (π^5)))+((43002189 (q^47))/(229345007 (π^5)))-((20633311 (q^48))/(113246208 (π^5)))+((847476171 (q^49))/(4519603984 (π^5)))-((967106349 (q^50))/(5000000000 (π^5)))+((y^5)/5)+((Gamma[5,4 π y])/(128 (π^5) q))-((33 Gamma[5,8 π y])/(4096 (π^5) (q^2)))+((61 Gamma[5,12 π y])/(7776 (π^5) (q^3)))-((993 Gamma[5,16 π y])/(131072 (π^5) (q^4)))+((1563 Gamma[5,20 π y])/(200000 (π^5) (q^5)))-((671 Gamma[5,24 π y])/(82944 (π^5) (q^6)))+((2101 Gamma[5,28 π y])/(268912 (π^5) (q^7)))-((31713 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))+((59293 Gamma[5,36 π y])/(7558272 (π^5) (q^9)))-((51579 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))+((40263 Gamma[5,44 π y])/(5153632 (π^5) (q^11)))-((20191 Gamma[5,48 π y])/(2654208 (π^5) (q^12)))+((185647 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))-((69333 Gamma[5,56 π y])/(8605184 (π^5) (q^14)))+((31781 Gamma[5,60 π y])/(4050000 (π^5) (q^15)))-((1014753 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))+((709929 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))-((652223 Gamma[5,72 π y])/(80621568 (π^5) (q^18)))+((619025 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))-((1552059 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))+((128161 Gamma[5,84 π y])/(16336404 (π^5) (q^21)))-((120789 Gamma[5,88 π y])/(14992384 (π^5) (q^22)))+((804543 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))-((644831 Gamma[5,96 π y])/(84934656 (π^5) (q^24)))+((9768751 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))-((6126351 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))+((1801025 Gamma[5,108 π y])/(229582512 (π^5) (q^27)))-((2086293 Gamma[5,112 π y])/(275365888 (π^5) (q^28)))+((10255575 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))-((349591 Gamma[5,120 π y])/(43200000 (π^5) (q^30)))+((894661 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))-((32472033 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))+((818681 Gamma[5,132 π y])/(104361048 (π^5) (q^33)))-((23427657 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))+((3283863 Gamma[5,140 π y])/(420175000 (π^5) (q^35)))-((19625983 Gamma[5,144 π y])/(2579890176 (π^5) (q^36)))+((34671979 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))-((20427825 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))+((11324467 Gamma[5,156 π y])/(1443587184 (π^5) (q^39)))-((49567419 Gamma[5,160 π y])/(6553600000 (π^5) (q^40)))+((57928101 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))-((1409771 Gamma[5,168 π y])/(174254976 (π^5) (q^42)))+((36752111 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))-((39981159 Gamma[5,176 π y])/(5277319168 (π^5) (q^44)))+((30891653 Gamma[5,180 π y])/(3936600000 (π^5) (q^45)))-((26549919 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))+((14334063 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))-((20633311 Gamma[5,192 π y])/(2717908992 (π^5) (q^48)))+((282492057 Gamma[5,196 π y])/(36156831872 (π^5) (q^49)))-((322368783 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))-((45 Zeta[5])/(256 (π^5)));
lv4ph4y3e2=((6 (Sqrt[2]) (q^(1/4)))/(π^5))+((18756 (Sqrt[2]) (q^(5/4)))/(3125 (π^5)))+((118586 (Sqrt[2]) (q^(9/4)))/(19683 (π^5)))+((2227764 (Sqrt[2]) (q^(13/4)))/(371293 (π^5)))+((8519148 (Sqrt[2]) (q^(17/4)))/(1419857 (π^5)))+((8202304 (Sqrt[2]) (q^(21/4)))/(1361367 (π^5)))+((58612506 (Sqrt[2]) (q^(25/4)))/(9765625 (π^5)))+((123066900 (Sqrt[2]) (q^(29/4)))/(20511149 (π^5)))+((26197792 (Sqrt[2]) (q^(33/4)))/(4348377 (π^5)))+((416063748 (Sqrt[2]) (q^(37/4)))/(69343957 (π^5)))+((695137212 (Sqrt[2]) (q^(41/4)))/(115856201 (π^5)))+((123566612 (Sqrt[2]) (q^(45/4)))/(20503125 (π^5)))+((1694952342 (Sqrt[2]) (q^(49/4)))/(282475249 (π^5)))+((2509172964 (Sqrt[2]) (q^(53/4)))/(418195493 (π^5)))+((1208336800 (Sqrt[2]) (q^(57/4)))/(200564019 (π^5)))+((5067577812 (Sqrt[2]) (q^(61/4)))/(844596301 (π^5)))+((6963990264 (Sqrt[2]) (q^(65/4)))/(1160290625 (π^5)))+((1046978624 (Sqrt[2]) (q^(69/4)))/(173781261 (π^5)))+((12438429564 (Sqrt[2]) (q^(73/4)))/(2073071593 (π^5)))+((1476524736 (Sqrt[2]) (q^(77/4)))/(246071287 (π^5)))+((7002385202 (Sqrt[2]) (q^(81/4)))/(1162261467 (π^5)))+((26630856648 (Sqrt[2]) (q^(85/4)))/(4437053125 (π^5)))+((33504356700 (Sqrt[2]) (q^(89/4)))/(5584059449 (π^5)))+((13971026176 (Sqrt[2]) (q^(93/4)))/(2318961231 (π^5)))+((51524041548 (Sqrt[2]) (q^(97/4)))/(8587340257 (π^5)))+((63060603012 (Sqrt[2]) (q^(101/4)))/(10510100501 (π^5)))+((8546800768 (Sqrt[2]) (q^(105/4)))/(1418090625 (π^5)))+((92317437300 (Sqrt[2]) (q^(109/4)))/(15386239549 (π^5)))+((110546110764 (Sqrt[2]) (q^(113/4)))/(18424351793 (π^5)))+((3386943868 (Sqrt[2]) (q^(117/4)))/(562166163 (π^5)))+((155625513918 (Sqrt[2]) (q^(121/4)))/(25937424601 (π^5)))+((183164081256 (Sqrt[2]) (q^(125/4)))/(30517578125 (π^5)))+((71740120672 (Sqrt[2]) (q^(129/4)))/(11907683883 (π^5)))+((249709732800 (Sqrt[2]) (q^(133/4)))/(41615795893 (π^5)))+((289570346748 (Sqrt[2]) (q^(137/4)))/(48261724457 (π^5)))+((37306787968 (Sqrt[2]) (q^(141/4)))/(6192315189 (π^5)))+((15388285176 (Sqrt[2]) (q^(145/4)))/(2563893625 (π^5)))+((440638654500 (Sqrt[2]) (q^(149/4)))/(73439775749 (π^5)))+((18708364532 (Sqrt[2]) (q^(153/4)))/(3105227259 (π^5)))+((572333955348 (Sqrt[2]) (q^(157/4)))/(95388992557 (π^5)))+((649092419712 (Sqrt[2]) (q^(161/4)))/(108175616801 (π^5)))+((27298099264 (Sqrt[2]) (q^(165/4)))/(4529559375 (π^5)))+((827153178858 (Sqrt[2]) (q^(169/4)))/(137858491849 (π^5)))+((929783352564 (Sqrt[2]) (q^(173/4)))/(154963892093 (π^5)))+((116294352800 (Sqrt[2]) (q^(177/4)))/(19302956073 (π^5)))+((1165585469412 (Sqrt[2]) (q^(181/4)))/(194264244901 (π^5)))+((1300615276248 (Sqrt[2]) (q^(185/4)))/(216699865625 (π^5)))+((484346051200 (Sqrt[2]) (q^(189/4)))/(80387359983 (π^5)))+((1606711105164 (Sqrt[2]) (q^(193/4)))/(267785184193 (π^5)))+((1780255684548 (Sqrt[2]) (q^(197/4)))/(296709280757 (π^5)))+((61 (Sqrt[2]) Gamma[5,3 π y])/(243 (π^5) (q^(3/4))))+((4202 (Sqrt[2]) Gamma[5,7 π y])/(16807 (π^5) (q^(7/4))))+((40263 (Sqrt[2]) Gamma[5,11 π y])/(161051 (π^5) (q^(11/4))))+((63562 (Sqrt[2]) Gamma[5,15 π y])/(253125 (π^5) (q^(15/4))))+((619025 (Sqrt[2]) Gamma[5,19 π y])/(2476099 (π^5) (q^(19/4))))+((1609086 (Sqrt[2]) Gamma[5,23 π y])/(6436343 (π^5) (q^(23/4))))+((3602050 (Sqrt[2]) Gamma[5,27 π y])/(14348907 (π^5) (q^(27/4))))+((7157288 (Sqrt[2]) Gamma[5,31 π y])/(28629151 (π^5) (q^(31/4))))+((13135452 (Sqrt[2]) Gamma[5,35 π y])/(52521875 (π^5) (q^(35/4))))+((22648934 (Sqrt[2]) Gamma[5,39 π y])/(90224199 (π^5) (q^(39/4))))+((36752111 (Sqrt[2]) Gamma[5,43 π y])/(147008443 (π^5) (q^(43/4))))+((57336252 (Sqrt[2]) Gamma[5,47 π y])/(229345007 (π^5) (q^(47/4))))+((9623482 (Sqrt[2]) Gamma[5,51 π y])/(38336139 (π^5) (q^(51/4))))+((125862138 (Sqrt[2]) Gamma[5,55 π y])/(503284375 (π^5) (q^(55/4))))+((178731075 (Sqrt[2]) Gamma[5,59 π y])/(714924299 (π^5) (q^(59/4))))+((249149186 (Sqrt[2]) Gamma[5,63 π y])/(992436543 (π^5) (q^(63/4))))+((337531277 (Sqrt[2]) Gamma[5,67 π y])/(1350125107 (π^5) (q^(67/4))))+((451057338 (Sqrt[2]) Gamma[5,71 π y])/(1804229351 (π^5) (q^(71/4))))+((595893811 (Sqrt[2]) Gamma[5,75 π y])/(2373046875 (π^5) (q^(75/4))))+((769264100 (Sqrt[2]) Gamma[5,79 π y])/(3077056399 (π^5) (q^(79/4))))+((984760161 (Sqrt[2]) Gamma[5,83 π y])/(3939040643 (π^5) (q^(83/4))))+((417060050 (Sqrt[2]) Gamma[5,87 π y])/(1661403069 (π^5) (q^(87/4))))+((222882484 (Sqrt[2]) Gamma[5,91 π y])/(891474493 (π^5) (q^(91/4))))+((77402886 (Sqrt[2]) Gamma[5,95 π y])/(309512375 (π^5) (q^(95/4))))+((795771353 (Sqrt[2]) Gamma[5,99 π y])/(3169966833 (π^5) (q^(99/4))))+((2898185186 (Sqrt[2]) Gamma[5,103 π y])/(11592740743 (π^5) (q^(103/4))))+((3506379327 (Sqrt[2]) Gamma[5,107 π y])/(14025517307 (π^5) (q^(107/4))))+((4229981438 (Sqrt[2]) Gamma[5,111 π y])/(16850581551 (π^5) (q^(111/4))))+((5030002836 (Sqrt[2]) Gamma[5,115 π y])/(20113571875 (π^5) (q^(115/4))))+((5966243316 (Sqrt[2]) Gamma[5,119 π y])/(23863536599 (π^5) (q^(119/4))))+((2355742774 (Sqrt[2]) Gamma[5,123 π y])/(9384352281 (π^5) (q^(123/4))))+((8259592352 (Sqrt[2]) Gamma[5,127 π y])/(33038369407 (π^5) (q^(127/4))))+((9644872413 (Sqrt[2]) Gamma[5,131 π y])/(38579489651 (π^5) (q^(131/4))))+((150133444 (Sqrt[2]) Gamma[5,135 π y])/(597871125 (π^5) (q^(135/4))))+((12972211175 (Sqrt[2]) Gamma[5,139 π y])/(51888844699 (π^5) (q^(139/4))))+((1359037302 (Sqrt[2]) Gamma[5,143 π y])/(5436100813 (π^5) (q^(143/4))))+((5744005159 (Sqrt[2]) Gamma[5,147 π y])/(22880495169 (π^5) (q^(147/4))))+((19625681438 (Sqrt[2]) Gamma[5,151 π y])/(78502725751 (π^5) (q^(151/4))))+((22373682288 (Sqrt[2]) Gamma[5,155 π y])/(89466096875 (π^5) (q^(155/4))))+((944812042 (Sqrt[2]) Gamma[5,159 π y])/(3763759437 (π^5) (q^(159/4))))+((28765904261 (Sqrt[2]) Gamma[5,163 π y])/(115063617043 (π^5) (q^(163/4))))+((32472996402 (Sqrt[2]) Gamma[5,167 π y])/(129891985607 (π^5) (q^(167/4))))+((36703849325 (Sqrt[2]) Gamma[5,171 π y])/(146211169851 (π^5) (q^(171/4))))+((41048291702 (Sqrt[2]) Gamma[5,175 π y])/(164130859375 (π^5) (q^(175/4))))+((45941499225 (Sqrt[2]) Gamma[5,179 π y])/(183765996899 (π^5) (q^(179/4))))+((844596302 (Sqrt[2]) Gamma[5,183 π y])/(3364539363 (π^5) (q^(183/4))))+((5197067514 (Sqrt[2]) Gamma[5,187 π y])/(20788126337 (π^5) (q^(187/4))))+((63548725488 (Sqrt[2]) Gamma[5,191 π y])/(254194901951 (π^5) (q^(191/4))))+((23600189228 (Sqrt[2]) Gamma[5,195 π y])/(93983540625 (π^5) (q^(195/4))))+((78019900250 (Sqrt[2]) Gamma[5,199 π y])/(312079600999 (π^5) (q^(199/4))));
lv4ph4y3e3=((488 (Sqrt[2]) (q^(3/4)))/(81 (π^5)))+((100848 (Sqrt[2]) (q^(7/4)))/(16807 (π^5)))+((966312 (Sqrt[2]) (q^(11/4)))/(161051 (π^5)))+((508496 (Sqrt[2]) (q^(15/4)))/(84375 (π^5)))+((14856600 (Sqrt[2]) (q^(19/4)))/(2476099 (π^5)))+((38618064 (Sqrt[2]) (q^(23/4)))/(6436343 (π^5)))+((28816400 (Sqrt[2]) (q^(27/4)))/(4782969 (π^5)))+((171774912 (Sqrt[2]) (q^(31/4)))/(28629151 (π^5)))+((315250848 (Sqrt[2]) (q^(35/4)))/(52521875 (π^5)))+((181191472 (Sqrt[2]) (q^(39/4)))/(30074733 (π^5)))+((882050664 (Sqrt[2]) (q^(43/4)))/(147008443 (π^5)))+((1376070048 (Sqrt[2]) (q^(47/4)))/(229345007 (π^5)))+((76987856 (Sqrt[2]) (q^(51/4)))/(12778713 (π^5)))+((3020691312 (Sqrt[2]) (q^(55/4)))/(503284375 (π^5)))+((4289545800 (Sqrt[2]) (q^(59/4)))/(714924299 (π^5)))+((1993193488 (Sqrt[2]) (q^(63/4)))/(330812181 (π^5)))+((8100750648 (Sqrt[2]) (q^(67/4)))/(1350125107 (π^5)))+((10825376112 (Sqrt[2]) (q^(71/4)))/(1804229351 (π^5)))+((4767150488 (Sqrt[2]) (q^(75/4)))/(791015625 (π^5)))+((18462338400 (Sqrt[2]) (q^(79/4)))/(3077056399 (π^5)))+((23634243864 (Sqrt[2]) (q^(83/4)))/(3939040643 (π^5)))+((3336480400 (Sqrt[2]) (q^(87/4)))/(553801023 (π^5)))+((5349179616 (Sqrt[2]) (q^(91/4)))/(891474493 (π^5)))+((1857669264 (Sqrt[2]) (q^(95/4)))/(309512375 (π^5)))+((6366170824 (Sqrt[2]) (q^(99/4)))/(1056655611 (π^5)))+((69556444464 (Sqrt[2]) (q^(103/4)))/(11592740743 (π^5)))+((84153103848 (Sqrt[2]) (q^(107/4)))/(14025517307 (π^5)))+((33839851504 (Sqrt[2]) (q^(111/4)))/(5616860517 (π^5)))+((120720068064 (Sqrt[2]) (q^(115/4)))/(20113571875 (π^5)))+((143189839584 (Sqrt[2]) (q^(119/4)))/(23863536599 (π^5)))+((18845942192 (Sqrt[2]) (q^(123/4)))/(3128117427 (π^5)))+((198230216448 (Sqrt[2]) (q^(127/4)))/(33038369407 (π^5)))+((231476937912 (Sqrt[2]) (q^(131/4)))/(38579489651 (π^5)))+((1201067552 (Sqrt[2]) (q^(135/4)))/(199290375 (π^5)))+((311333068200 (Sqrt[2]) (q^(139/4)))/(51888844699 (π^5)))+((32616895248 (Sqrt[2]) (q^(143/4)))/(5436100813 (π^5)))+((45952041272 (Sqrt[2]) (q^(147/4)))/(7626831723 (π^5)))+((471016354512 (Sqrt[2]) (q^(151/4)))/(78502725751 (π^5)))+((536968374912 (Sqrt[2]) (q^(155/4)))/(89466096875 (π^5)))+((7558496336 (Sqrt[2]) (q^(159/4)))/(1254586479 (π^5)))+((690381702264 (Sqrt[2]) (q^(163/4)))/(115063617043 (π^5)))+((779351913648 (Sqrt[2]) (q^(167/4)))/(129891985607 (π^5)))+((293630794600 (Sqrt[2]) (q^(171/4)))/(48737056617 (π^5)))+((985159000848 (Sqrt[2]) (q^(175/4)))/(164130859375 (π^5)))+((1102595981400 (Sqrt[2]) (q^(179/4)))/(183765996899 (π^5)))+((6756770416 (Sqrt[2]) (q^(183/4)))/(1121513121 (π^5)))+((124729620336 (Sqrt[2]) (q^(187/4)))/(20788126337 (π^5)))+((1525169411712 (Sqrt[2]) (q^(191/4)))/(254194901951 (π^5)))+((188801513824 (Sqrt[2]) (q^(195/4)))/(31327846875 (π^5)))+((1872477606000 (Sqrt[2]) (q^(199/4)))/(312079600999 (π^5)))+((Gamma[5,π y])/(2 (Sqrt[2]) (π^5) (q^(1/4))))+((1563 Gamma[5,5 π y])/(3125 (Sqrt[2]) (π^5) (q^(5/4))))+((59293 Gamma[5,9 π y])/(118098 (Sqrt[2]) (π^5) (q^(9/4))))+((185647 Gamma[5,13 π y])/(371293 (Sqrt[2]) (π^5) (q^(13/4))))+((709929 Gamma[5,17 π y])/(1419857 (Sqrt[2]) (π^5) (q^(17/4))))+((1025288 (Sqrt[2]) Gamma[5,21 π y])/(4084101 (π^5) (q^(21/4))))+((9768751 Gamma[5,25 π y])/(19531250 (Sqrt[2]) (π^5) (q^(25/4))))+((10255575 Gamma[5,29 π y])/(20511149 (Sqrt[2]) (π^5) (q^(29/4))))+((3274724 (Sqrt[2]) Gamma[5,33 π y])/(13045131 (π^5) (q^(33/4))))+((34671979 Gamma[5,37 π y])/(69343957 (Sqrt[2]) (π^5) (q^(37/4))))+((57928101 Gamma[5,41 π y])/(115856201 (Sqrt[2]) (π^5) (q^(41/4))))+((30891653 Gamma[5,45 π y])/(61509375 (Sqrt[2]) (π^5) (q^(45/4))))+((282492057 Gamma[5,49 π y])/(564950498 (Sqrt[2]) (π^5) (q^(49/4))))+((209097747 Gamma[5,53 π y])/(418195493 (Sqrt[2]) (π^5) (q^(53/4))))+((151042100 (Sqrt[2]) Gamma[5,57 π y])/(601692057 (π^5) (q^(57/4))))+((422298151 Gamma[5,61 π y])/(844596301 (Sqrt[2]) (π^5) (q^(61/4))))+((290166261 (Sqrt[2]) Gamma[5,65 π y])/(1160290625 (π^5) (q^(65/4))))+((130872328 (Sqrt[2]) Gamma[5,69 π y])/(521343783 (π^5) (q^(69/4))))+((1036535797 Gamma[5,73 π y])/(2073071593 (Sqrt[2]) (π^5) (q^(73/4))))+((61521864 (Sqrt[2]) Gamma[5,77 π y])/(246071287 (π^5) (q^(77/4))))+((3501192601 Gamma[5,81 π y])/(6973568802 (Sqrt[2]) (π^5) (q^(81/4))))+((1109619027 (Sqrt[2]) Gamma[5,85 π y])/(4437053125 (π^5) (q^(85/4))))+((2792029725 Gamma[5,89 π y])/(5584059449 (Sqrt[2]) (π^5) (q^(89/4))))+((1746378272 (Sqrt[2]) Gamma[5,93 π y])/(6956883693 (π^5) (q^(93/4))))+((4293670129 Gamma[5,97 π y])/(8587340257 (Sqrt[2]) (π^5) (q^(97/4))))+((5255050251 Gamma[5,101 π y])/(10510100501 (Sqrt[2]) (π^5) (q^(101/4))))+((1068350096 (Sqrt[2]) Gamma[5,105 π y])/(4254271875 (π^5) (q^(105/4))))+((7693119775 Gamma[5,109 π y])/(15386239549 (Sqrt[2]) (π^5) (q^(109/4))))+((9212175897 Gamma[5,113 π y])/(18424351793 (Sqrt[2]) (π^5) (q^(113/4))))+((846735967 Gamma[5,117 π y])/(1686498489 (Sqrt[2]) (π^5) (q^(117/4))))+((25937585653 Gamma[5,121 π y])/(51874849202 (Sqrt[2]) (π^5) (q^(121/4))))+((7631836719 (Sqrt[2]) Gamma[5,125 π y])/(30517578125 (π^5) (q^(125/4))))+((8967515084 (Sqrt[2]) Gamma[5,129 π y])/(35723051649 (π^5) (q^(129/4))))+((10404572200 (Sqrt[2]) Gamma[5,133 π y])/(41615795893 (π^5) (q^(133/4))))+((24130862229 Gamma[5,137 π y])/(48261724457 (Sqrt[2]) (π^5) (q^(137/4))))+((4663348496 (Sqrt[2]) Gamma[5,141 π y])/(18576945567 (π^5) (q^(141/4))))+((641178549 (Sqrt[2]) Gamma[5,145 π y])/(2563893625 (π^5) (q^(145/4))))+((36719887875 Gamma[5,149 π y])/(73439775749 (Sqrt[2]) (π^5) (q^(149/4))))+((4677091133 Gamma[5,153 π y])/(9315681777 (Sqrt[2]) (π^5) (q^(153/4))))+((47694496279 Gamma[5,157 π y])/(95388992557 (Sqrt[2]) (π^5) (q^(157/4))))+((27045517488 (Sqrt[2]) Gamma[5,161 π y])/(108175616801 (π^5) (q^(161/4))))+((3412262408 (Sqrt[2]) Gamma[5,165 π y])/(13588678125 (π^5) (q^(165/4))))+((137858863143 Gamma[5,169 π y])/(275716983698 (Sqrt[2]) (π^5) (q^(169/4))))+((77481946047 Gamma[5,173 π y])/(154963892093 (Sqrt[2]) (π^5) (q^(173/4))))+((14536794100 (Sqrt[2]) Gamma[5,177 π y])/(57908868219 (π^5) (q^(177/4))))+((97132122451 Gamma[5,181 π y])/(194264244901 (Sqrt[2]) (π^5) (q^(181/4))))+((54192303177 (Sqrt[2]) Gamma[5,185 π y])/(216699865625 (π^5) (q^(185/4))))+((60543256400 (Sqrt[2]) Gamma[5,189 π y])/(241162079949 (π^5) (q^(189/4))))+((133892592097 Gamma[5,193 π y])/(267785184193 (Sqrt[2]) (π^5) (q^(193/4))))+((148354640379 Gamma[5,197 π y])/(296709280757 (Sqrt[2]) (π^5) (q^(197/4))));

(Subscript[Γ, 5])≅(Subscript[A, 5])

weight 2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((2)))=(Subscript[E, 2]^( * ))=lv5wt2y1

lv5wt2y1=1-(3/(π*y))-24 q-72 (q^2)-96 (q^3)-168 (q^4)-144 (q^5)-288 (q^6)-192 (q^7)-360 (q^8)-312 (q^9)-432 (q^10)-288 (q^11)-672 (q^12)-336 (q^13)-576 (q^14)-576 (q^15)-744 (q^16)-432 (q^17)-936 (q^18)-480 (q^19)-1008 (q^20)-768 (q^21)-864 (q^22)-576 (q^23)-1440 (q^24)-744 (q^25)-1008 (q^26)-960 (q^27)-1344 (q^28)-720 (q^29)-1728 (q^30)-768 (q^31)-1512 (q^32)-1152 (q^33)-1296 (q^34)-1152 (q^35)-2184 (q^36)-912 (q^37)-1440 (q^38)-1344 (q^39)-2160 (q^40)-1008 (q^41)-2304 (q^42)-1056 (q^43)-2016 (q^44)-1872 (q^45)-1728 (q^46)-1152 (q^47)-2976 (q^48)-1368 (q^49)-2232 (q^50);

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((2)))=(lv5wt2y3e1,lv5wt2y3e2,lv5wt2y3e3)

lv5wt2y3e1=1-30 q-20 (q^2)-40 (q^3)-90 (q^4)-130 (q^5)-60 (q^6)-120 (q^7)-100 (q^8)-210 (q^9)-120 (q^10)-360 (q^11)-120 (q^12)-240 (q^13)-180 (q^14)-240 (q^15)-330 (q^16)-320 (q^17)-140 (q^18)-600 (q^19)-390 (q^20)-360 (q^21)-240 (q^22)-440 (q^23)-300 (q^24)-630 (q^25)-360 (q^26)-400 (q^27)-360 (q^28)-900 (q^29)-260 (q^30)-960 (q^31)-420 (q^32)-480 (q^33)-480 (q^34)-720 (q^35)-630 (q^36)-720 (q^37)-400 (q^38)-720 (q^39)-600 (q^40)-1260 (q^41)-240 (q^42)-840 (q^43)-1080 (q^44)-910 (q^45)-660 (q^46)-920 (q^47)-440 (q^48)-1290 (q^49)-620 (q^50);
lv5wt2y3e2=5 (Sqrt[2]) (q^(1/5)) (1+2 q+12 (q^2)+11 (q^3)+12 (q^4)+12 (q^5)+32 (q^6)+21 (q^7)+42 (q^8)+22 (q^9)+32 (q^10)+30 (q^11)+62 (q^12)+24 (q^13)+72 (q^14)+60 (q^15)+61 (q^16)+42 (q^17)+72 (q^18)+42 (q^19)+102 (q^20)+52 (q^21)+72 (q^22)+90 (q^23)+133 (q^24)+42 (q^25)+132 (q^26)+80 (q^27)+92 (q^28)+72 (q^29)+152 (q^30)+72 (q^31)+132 (q^32)+82 (q^33)+140 (q^34)+132 (q^35)+182 (q^36)+64 (q^37)+192 (q^38)+129 (q^39)+132 (q^40)+102 (q^41)+212 (q^42)+100 (q^43)+192 (q^44)+112 (q^45)+144 (q^46)+180 (q^47)+242 (q^48)+84 (q^49));
lv5wt2y3e3=5 (Sqrt[2]) (q^(4/5)) (3+7 q+6 (q^2)+20 (q^3)+10 (q^4)+30 (q^5)+16 (q^6)+24 (q^7)+36 (q^8)+43 (q^9)+20 (q^10)+60 (q^11)+43 (q^12)+44 (q^13)+36 (q^14)+80 (q^15)+36 (q^16)+90 (q^17)+46 (q^18)+84 (q^19)+60 (q^20)+110 (q^21)+40 (q^22)+96 (q^23)+96 (q^24)+84 (q^25)+66 (q^26)+140 (q^27)+77 (q^28)+150 (q^29)+72 (q^30)+104 (q^31)+126 (q^32)+157 (q^33)+60 (q^34)+180 (q^35)+110 (q^36)+120 (q^37)+96 (q^38)+200 (q^39)+96 (q^40)+240 (q^41)+106 (q^42)+144 (q^43)+126 (q^44)+230 (q^45)+84 (q^46)+240 (q^47)+186 (q^48)+164 (q^49));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((2)))=(lv5wt2y3pe1,lv5wt2y3pe2,lv5wt2y3pe3)

lv5wt2y3pe1=1+20 q+30 (q^2)+60 (q^3)+60 (q^4)+120 (q^5)+40 (q^6)+180 (q^7)+150 (q^8)+140 (q^9)+130 (q^10)+240 (q^11)+180 (q^12)+360 (q^13)+120 (q^14)+260 (q^15)+220 (q^16)+480 (q^17)+210 (q^18)+400 (q^19)+360 (q^20)+240 (q^21)+360 (q^22)+660 (q^23)+200 (q^24)+620 (q^25)+240 (q^26)+600 (q^27)+540 (q^28)+600 (q^29)+240 (q^30)+640 (q^31)+630 (q^32)+720 (q^33)+320 (q^34)+780 (q^35)+420 (q^36)+1080 (q^37)+600 (q^38)+480 (q^39)+650 (q^40)+840 (q^41)+360 (q^42)+1260 (q^43)+720 (q^44)+840 (q^45)+440 (q^46)+1380 (q^47)+660 (q^48)+860 (q^49)+630 (q^50);
lv5wt2y3pe2=-5 (Sqrt[2]) (q^(2/5)) (1+6 q+6 (q^2)+16 (q^3)+12 (q^4)+20 (q^5)+21 (q^6)+36 (q^7)+12 (q^8)+46 (q^9)+36 (q^10)+40 (q^11)+32 (q^12)+66 (q^13)+35 (q^14)+72 (q^15)+42 (q^16)+60 (q^17)+66 (q^18)+96 (q^19)+32 (q^20)+106 (q^21)+66 (q^22)+84 (q^23)+62 (q^24)+126 (q^25)+72 (q^26)+136 (q^27)+72 (q^28)+86 (q^29)+100 (q^30)+156 (q^31)+61 (q^32)+166 (q^33)+126 (q^34)+120 (q^35)+72 (q^36)+192 (q^37)+86 (q^38)+196 (q^39)+102 (q^40)+154 (q^41)+156 (q^42)+192 (q^43)+72 (q^44)+226 (q^45)+150 (q^46)+160 (q^47)+133 (q^48)+240 (q^49));
lv5wt2y3pe3=-5 (Sqrt[2]) (q^(3/5)) (2+5 q+12 (q^2)+7 (q^3)+22 (q^4)+18 (q^5)+24 (q^6)+20 (q^7)+42 (q^8)+22 (q^9)+52 (q^10)+30 (q^11)+42 (q^12)+48 (q^13)+72 (q^14)+24 (q^15)+82 (q^16)+60 (q^17)+64 (q^18)+43 (q^19)+102 (q^20)+60 (q^21)+112 (q^22)+60 (q^23)+84 (q^24)+85 (q^25)+120 (q^26)+44 (q^27)+144 (q^28)+108 (q^29)+112 (q^30)+80 (q^31)+162 (q^32)+60 (q^33)+172 (q^34)+90 (q^35)+124 (q^36)+138 (q^37)+192 (q^38)+84 (q^39)+180 (q^40)+132 (q^41)+144 (q^42)+110 (q^43)+222 (q^44)+120 (q^45)+232 (q^46)+96 (q^47)+182 (q^48)+160 (q^49));

(Subscript[ρ, r])=5

(Subscript[Y, 5]^((2)))=(lv5wt2y5e1,lv5wt2y5e2,lv5wt2y5e3,lv5wt2y5e4,lv5wt2y5e5)

lv5wt2y5e1=1+6 q+18 (q^2)+24 (q^3)+42 (q^4)+6 (q^5)+72 (q^6)+48 (q^7)+90 (q^8)+78 (q^9)+18 (q^10)+72 (q^11)+168 (q^12)+84 (q^13)+144 (q^14)+24 (q^15)+186 (q^16)+108 (q^17)+234 (q^18)+120 (q^19)+42 (q^20)+192 (q^21)+216 (q^22)+144 (q^23)+360 (q^24)+6 (q^25)+252 (q^26)+240 (q^27)+336 (q^28)+180 (q^29)+72 (q^30)+192 (q^31)+378 (q^32)+288 (q^33)+324 (q^34)+48 (q^35)+546 (q^36)+228 (q^37)+360 (q^38)+336 (q^39)+90 (q^40)+252 (q^41)+576 (q^42)+264 (q^43)+504 (q^44)+78 (q^45)+432 (q^46)+288 (q^47)+744 (q^48)+342 (q^49)+18 (q^50);
lv5wt2y5e2=-(Sqrt[6]) (q^(1/5)) (1+12 q+12 (q^2)+31 (q^3)+32 (q^4)+42 (q^5)+32 (q^6)+91 (q^7)+42 (q^8)+72 (q^9)+72 (q^10)+120 (q^11)+62 (q^12)+144 (q^13)+72 (q^14)+140 (q^15)+121 (q^16)+132 (q^17)+112 (q^18)+252 (q^19)+102 (q^20)+162 (q^21)+152 (q^22)+210 (q^23)+133 (q^24)+312 (q^25)+132 (q^26)+270 (q^27)+192 (q^28)+222 (q^29)+152 (q^30)+392 (q^31)+192 (q^32)+252 (q^33)+260 (q^34)+372 (q^35)+182 (q^36)+384 (q^37)+192 (q^38)+399 (q^39)+272 (q^40)+312 (q^41)+212 (q^42)+600 (q^43)+252 (q^44)+342 (q^45)+384 (q^46)+420 (q^47)+242 (q^48)+504 (q^49));
lv5wt2y5e3=-(Sqrt[6]) (q^(2/5)) (3+8 q+28 (q^2)+18 (q^3)+36 (q^4)+40 (q^5)+63 (q^6)+38 (q^7)+96 (q^8)+48 (q^9)+98 (q^10)+80 (q^11)+96 (q^12)+68 (q^13)+195 (q^14)+96 (q^15)+126 (q^16)+120 (q^17)+168 (q^18)+98 (q^19)+216 (q^20)+108 (q^21)+248 (q^22)+182 (q^23)+186 (q^24)+128 (q^25)+336 (q^26)+138 (q^27)+216 (q^28)+228 (q^29)+300 (q^30)+158 (q^31)+363 (q^32)+168 (q^33)+308 (q^34)+240 (q^35)+336 (q^36)+216 (q^37)+508 (q^38)+198 (q^39)+306 (q^40)+312 (q^41)+378 (q^42)+256 (q^43)+456 (q^44)+228 (q^45)+450 (q^46)+320 (q^47)+399 (q^48)+280 (q^49));
lv5wt2y5e4=-(Sqrt[6]) (q^(3/5)) (4+15 q+14 (q^2)+39 (q^3)+24 (q^4)+56 (q^5)+48 (q^6)+60 (q^7)+44 (q^8)+124 (q^9)+54 (q^10)+90 (q^11)+104 (q^12)+126 (q^13)+74 (q^14)+168 (q^15)+84 (q^16)+180 (q^17)+128 (q^18)+171 (q^19)+104 (q^20)+280 (q^21)+114 (q^22)+180 (q^23)+168 (q^24)+255 (q^25)+160 (q^26)+288 (q^27)+168 (q^28)+266 (q^29)+234 (q^30)+240 (q^31)+164 (q^32)+480 (q^33)+174 (q^34)+270 (q^35)+248 (q^36)+336 (q^37)+194 (q^38)+468 (q^39)+240 (q^40)+434 (q^41)+288 (q^42)+330 (q^43)+224 (q^44)+560 (q^45)+234 (q^46)+432 (q^47)+364 (q^48)+480 (q^49));
lv5wt2y5e5=-(Sqrt[6]) (q^(4/5)) (7+13 q+24 (q^2)+20 (q^3)+60 (q^4)+30 (q^5)+54 (q^6)+56 (q^7)+84 (q^8)+57 (q^9)+120 (q^10)+60 (q^11)+127 (q^12)+96 (q^13)+114 (q^14)+80 (q^15)+224 (q^16)+90 (q^17)+144 (q^18)+156 (q^19)+210 (q^20)+110 (q^21)+240 (q^22)+144 (q^23)+224 (q^24)+176 (q^25)+204 (q^26)+140 (q^27)+403 (q^28)+150 (q^29)+288 (q^30)+216 (q^31)+294 (q^32)+183 (q^33)+360 (q^34)+180 (q^35)+360 (q^36)+320 (q^37)+294 (q^38)+200 (q^39)+504 (q^40)+240 (q^41)+324 (q^42)+296 (q^43)+504 (q^44)+230 (q^45)+546 (q^46)+240 (q^47)+434 (q^48)+336 (q^49));

weight 4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((4)))=lv5wt4y1

lv5wt4y1=1+240 q+2160 (q^2)+6720 (q^3)+17520 (q^4)+30240 (q^5)+60480 (q^6)+82560 (q^7)+140400 (q^8)+181680 (q^9)+272160 (q^10)+319680 (q^11)+490560 (q^12)+527520 (q^13)+743040 (q^14)+846720 (q^15)+1123440 (q^16)+1179360 (q^17)+1635120 (q^18)+1646400 (q^19)+2207520 (q^20)+2311680 (q^21)+2877120 (q^22)+2920320 (q^23)+3931200 (q^24)+3780240 (q^25)+4747680 (q^26)+4905600 (q^27)+6026880 (q^28)+5853600 (q^29)+7620480 (q^30)+7150080 (q^31)+8987760 (q^32)+8951040 (q^33)+10614240 (q^34)+10402560 (q^35)+13262640 (q^36)+12156960 (q^37)+14817600 (q^38)+14770560 (q^39)+17690400 (q^40)+16541280 (q^41)+20805120 (q^42)+19081920 (q^43)+23336640 (q^44)+22891680 (q^45)+26282880 (q^46)+24917760 (q^47)+31456320 (q^48)+28318320 (q^49)+34022160 (q^50);

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((4)))=(lv5wt4y3e1,lv5wt4y3e2,lv5wt4y3e3)

lv5wt4y3e1=1+126 q+868 (q^2)+3224 (q^3)+7182 (q^4)+15626 (q^5)+22932 (q^6)+42408 (q^7)+56420 (q^8)+88578 (q^9)+109368 (q^10)+167832 (q^11)+183768 (q^12)+272304 (q^13)+301644 (q^14)+406224 (q^15)+458766 (q^16)+609088 (q^17)+610204 (q^18)+864360 (q^19)+890682 (q^20)+1120392 (q^21)+1156176 (q^22)+1508584 (q^23)+1490580 (q^24)+1953126 (q^25)+1936872 (q^26)+2353520 (q^27)+2417256 (q^28)+3073140 (q^29)+2843932 (q^30)+3753792 (q^31)+3611748 (q^32)+4294368 (q^33)+4332384 (q^34)+5343408 (q^35)+5048946 (q^36)+6280848 (q^37)+5954480 (q^38)+7194096 (q^39)+7108920 (q^40)+8684172 (q^41)+7718256 (q^42)+9858744 (q^43)+9566424 (q^44)+10985078 (q^45)+10730412 (q^46)+12873928 (q^47)+11738584 (q^48)+14780682 (q^49)+13671868 (q^50);
lv5wt4y3e2=-(Sqrt[2]) (q^(1/5)) (1+182 q+1332 (q^2)+3641 (q^3)+8892 (q^4)+15372 (q^5)+29792 (q^6)+40071 (q^7)+68922 (q^8)+85162 (q^9)+127712 (q^10)+155610 (q^11)+226982 (q^12)+242424 (q^13)+357912 (q^14)+391020 (q^15)+512461 (q^16)+556542 (q^17)+751032 (q^18)+757302 (q^19)+1030302 (q^20)+1042132 (q^21)+1316952 (q^22)+1390230 (q^23)+1772893 (q^24)+1682982 (q^25)+2248092 (q^26)+2234960 (q^27)+2699372 (q^28)+2723112 (q^29)+3442952 (q^30)+3254472 (q^31)+4160772 (q^32)+4002502 (q^33)+4822580 (q^34)+4849812 (q^35)+5929742 (q^36)+5422144 (q^37)+6967872 (q^38)+6686499 (q^39)+7819812 (q^40)+7649082 (q^41)+9393932 (q^42)+8635900 (q^43)+10786752 (q^44)+10100272 (q^45)+11844144 (q^46)+11706660 (q^47)+13997522 (q^48)+12543804 (q^49));
lv5wt4y3e3=-(Sqrt[2]) (q^(4/5)) (57+703 q+2394 (q^2)+6860 (q^3)+11830 (q^4)+24390 (q^5)+34384 (q^6)+57096 (q^7)+75924 (q^8)+117307 (q^9)+132860 (q^10)+205380 (q^11)+233017 (q^12)+316316 (q^13)+354564 (q^14)+493040 (q^15)+506844 (q^16)+704970 (q^17)+726754 (q^18)+936396 (q^19)+999180 (q^20)+1295030 (q^21)+1248520 (q^22)+1679904 (q^23)+1698144 (q^24)+2067156 (q^25)+2105334 (q^26)+2685620 (q^27)+2559623 (q^28)+3307950 (q^29)+3188808 (q^30)+3870776 (q^31)+3928554 (q^32)+4824613 (q^33)+4438980 (q^34)+5735340 (q^35)+5535530 (q^36)+6491160 (q^37)+6388704 (q^38)+7880600 (q^39)+7279584 (q^40)+9137520 (q^41)+8575294 (q^42)+10114416 (q^43)+9961434 (q^44)+12008990 (q^45)+10806516 (q^46)+13651920 (q^47)+12937974 (q^48)+14866436 (q^49));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((4)))=(lv5wt4y3pe1,lv5wt4y3pe2,lv5wt4y3pe3)

lv5wt4y3pe1=1-124 q-882 (q^2)-3276 (q^3)-7068 (q^4)-15624 (q^5)-22568 (q^6)-43092 (q^7)-57330 (q^8)-87172 (q^9)-109382 (q^10)-165168 (q^11)-186732 (q^12)-276696 (q^13)-296856 (q^14)-406276 (q^15)-451484 (q^16)-618912 (q^17)-620046 (q^18)-850640 (q^19)-890568 (q^20)-1102608 (q^21)-1174824 (q^22)-1532916 (q^23)-1466920 (q^24)-1953124 (q^25)-1906128 (q^26)-2391480 (q^27)-2456244 (q^28)-3024360 (q^29)-2843568 (q^30)-3694208 (q^31)-3670002 (q^32)-4363632 (q^33)-4263616 (q^34)-5344092 (q^35)-4968804 (q^36)-6382152 (q^37)-6050520 (q^38)-7079904 (q^39)-7109830 (q^40)-8546328 (q^41)-7842744 (q^42)-10017756 (q^43)-9414576 (q^44)-10983672 (q^45)-10560088 (q^46)-13081572 (q^47)-11927916 (q^48)-14546068 (q^49)-13671882 (q^50);
lv5wt4y3pe2=(Sqrt[2]) (q^(2/5)) (7+342 q+1482 (q^2)+4912 (q^3)+9324 (q^4)+18980 (q^5)+29127 (q^6)+50652 (q^7)+62244 (q^8)+103822 (q^9)+125172 (q^10)+178360 (q^11)+208544 (q^12)+300762 (q^13)+319865 (q^14)+455544 (q^15)+482454 (q^16)+634140 (q^17)+693462 (q^18)+912672 (q^19)+893984 (q^20)+1225042 (q^21)+1245222 (q^22)+1543788 (q^23)+1588874 (q^24)+2048382 (q^25)+1974024 (q^26)+2571352 (q^27)+2505384 (q^28)+3049982 (q^29)+3121300 (q^30)+3869892 (q^31)+3587227 (q^32)+4657462 (q^33)+4531842 (q^34)+5339880 (q^35)+5257224 (q^36)+6542784 (q^37)+6058442 (q^38)+7645372 (q^39)+7212114 (q^40)+8552698 (q^41)+8485932 (q^42)+10188864 (q^43)+9218664 (q^44)+11697082 (q^45)+11097450 (q^46)+12819040 (q^47)+12410251 (q^48)+15064560 (q^49));
lv5wt4y3pe3=(Sqrt[2]) (q^(3/5)) (26+455 q+2196 (q^2)+4921 (q^3)+12166 (q^4)+19494 (q^5)+34632 (q^6)+48020 (q^7)+79506 (q^8)+94666 (q^9)+148876 (q^10)+170730 (q^11)+240426 (q^12)+279984 (q^13)+389016 (q^14)+399672 (q^15)+571786 (q^16)+606060 (q^17)+774592 (q^18)+821149 (q^19)+1092726 (q^20)+1081860 (q^21)+1442896 (q^22)+1437660 (q^23)+1791972 (q^24)+1864135 (q^25)+2346120 (q^26)+2214212 (q^27)+2925072 (q^28)+2887164 (q^29)+3453136 (q^30)+3451280 (q^31)+4330746 (q^32)+4045860 (q^33)+5177716 (q^34)+4934790 (q^35)+5901532 (q^36)+5917854 (q^37)+7189056 (q^38)+6554772 (q^39)+8341380 (q^40)+7995636 (q^41)+9305712 (q^42)+9065210 (q^43)+11089566 (q^44)+10166520 (q^45)+12649336 (q^46)+11759328 (q^47)+13836446 (q^48)+13555360 (q^49));

(Subscript[ρ, r])=4

(Subscript[Y, 4]^((4)))=(lv5wt4y4e1,lv5wt4y4e2,lv5wt4y4e3,lv5wt4y4e4)

lv5wt4y4e1=-10 (q^(1/5)) (-1-7 q+43 (q^2)-41 (q^3)-42 (q^4)+28 (q^5)-42 (q^6)+154 (q^7)+203 (q^8)-162 (q^9)-637 (q^10)+90 (q^11)+518 (q^12)+301 (q^13)-412 (q^14)-245 (q^15)+839 (q^16)-92 (q^17)+168 (q^18)-1127 (q^19)-1302 (q^20)-82 (q^21)+2198 (q^22)+1120 (q^23)-518 (q^24)-132 (q^25)-1092 (q^26)+1365 (q^27)-1372 (q^28)+763 (q^29)-202 (q^30)-1372 (q^31)-972 (q^32)-777 (q^33)+770 (q^34)+1763 (q^35)+2758 (q^36)-294 (q^37)+2378 (q^38)-2149 (q^39)-987 (q^40)-532 (q^41)-4307 (q^42)-525 (q^43)+2548 (q^44)+503 (q^45)+1806 (q^46)-1960 (q^47)-1897 (q^48)+1421 (q^49));
lv5wt4y4e2=10 (q^(2/5)) (1+6 q-49 (q^2)+91 (q^3)-43 (q^4)-35 (q^5)+161 (q^6)-314 (q^7)+42 (q^8)+196 (q^9)+196 (q^10)-245 (q^11)+42 (q^12)+141 (q^13)-330 (q^14)-258 (q^15)-203 (q^16)+1120 (q^17)-1134 (q^18)+1246 (q^19)+637 (q^20)-1269 (q^21)+246 (q^22)-616 (q^23)-518 (q^24)-874 (q^25)+2107 (q^26)+411 (q^27)+412 (q^28)-2149 (q^29)+525 (q^30)+406 (q^31)-839 (q^32)+4116 (q^33)-644 (q^34)-1960 (q^35)-168 (q^36)-3913 (q^37)-1169 (q^38)+2346 (q^39)+1302 (q^40)+3564 (q^41)-574 (q^42)+252 (q^43)-2198 (q^44)+476 (q^45)-2400 (q^46)+3570 (q^47)+518 (q^48)+980 (q^49));
lv5wt4y4e3=-10 (q^(3/5)) (-7+15 q+28 (q^2)-22 (q^3)-162 (q^4)+42 (q^5)+301 (q^6)+35 (q^7)-92 (q^8)-287 (q^9)-82 (q^10)-160 (q^11)-132 (q^12)+637 (q^13)+763 (q^14)+196 (q^15)-777 (q^16)-645 (q^17)-294 (q^18)+307 (q^19)-532 (q^20)-245 (q^21)+503 (q^22)+280 (q^23)+1421 (q^24)+1455 (q^25)+210 (q^26)-1134 (q^27)-1204 (q^28)-2198 (q^29)-2002 (q^30)-510 (q^31)+3803 (q^32)+630 (q^33)-1512 (q^34)+945 (q^35)+3626 (q^36)+1372 (q^37)-3067 (q^38)+946 (q^39)-960 (q^40)+1148 (q^41)-2884 (q^42)-1070 (q^43)-2212 (q^44)-1715 (q^45)-1002 (q^46)-546 (q^47)+4928 (q^48)+630 (q^49));
lv5wt4y4e4=10 (q^(4/5)) (-7+22 q+6 (q^2)-35 (q^3)-105 (q^4)+160 (q^5)+91 (q^6)-196 (q^7)+301 (q^8)-307 (q^9)-35 (q^10)-280 (q^11)-167 (q^12)+1134 (q^13)-314 (q^14)+510 (q^15)-294 (q^16)-945 (q^17)+196 (q^18)-946 (q^19)+420 (q^20)+1070 (q^21)-245 (q^22)+546 (q^23)-294 (q^24)+644 (q^25)+141 (q^26)-595 (q^27)+902 (q^28)-3200 (q^29)-258 (q^30)+574 (q^31)+1421 (q^32)-1413 (q^33)+1120 (q^34)+2585 (q^35)-2430 (q^36)-210 (q^37)+1246 (q^38)+4900 (q^39)-4459 (q^40)+1505 (q^41)-1269 (q^42)-5341 (q^43)+966 (q^44)-2940 (q^45)-616 (q^46)+2480 (q^47)+3626 (q^48)+5439 (q^49));

(Subscript[ρ, r])=5

(Subscript[Y, 5I]^((4)))=(lv5wt4y5Ie1,lv5wt4y5Ie2,lv5wt4y5Ie3,lv5wt4y5Ie4,lv5wt4y5Ie5)

lv5wt4y5Ie1=1-210 q+210 (q^2)-1680 (q^3)-4830 (q^4)-5010 (q^5)-10920 (q^6)-17640 (q^7)-28350 (q^8)-32970 (q^9)-55590 (q^10)-69720 (q^11)-101640 (q^12)-100380 (q^13)-146160 (q^14)-161280 (q^15)-216510 (q^16)-242340 (q^17)-345030 (q^18)-348600 (q^19)-418230 (q^20)-468720 (q^21)-560280 (q^22)-577080 (q^23)-793800 (q^24)-731010 (q^25)-983220 (q^26)-974400 (q^27)-1224720 (q^28)-1173900 (q^29)-1472520 (q^30)-1426320 (q^31)-1856190 (q^32)-1817760 (q^33)-2126460 (q^34)-1996440 (q^35)-2648310 (q^36)-2497740 (q^37)-2927400 (q^38)-2970240 (q^39)-3403350 (q^40)-3343620 (q^41)-4193280 (q^42)-3924480 (q^43)-4753560 (q^44)-4422570 (q^45)-5357520 (q^46)-4948440 (q^47)-6331080 (q^48)-5668530 (q^49)-6526590 (q^50);
lv5wt4y5Ie2=5 (Sqrt[6]) (q^(1/5)) (-1+28 q+68 (q^2)+429 (q^3)+728 (q^4)+1358 (q^5)+2408 (q^6)+4449 (q^7)+5278 (q^8)+8088 (q^9)+10528 (q^10)+15480 (q^11)+18018 (q^12)+26096 (q^13)+27088 (q^14)+37660 (q^15)+41999 (q^16)+56948 (q^17)+58408 (q^18)+80108 (q^19)+78498 (q^20)+103078 (q^21)+108528 (q^22)+137390 (q^23)+136707 (q^24)+179688 (q^25)+175308 (q^26)+221130 (q^27)+224728 (q^28)+265538 (q^29)+262848 (q^30)+346248 (q^31)+322488 (q^32)+397068 (q^33)+401940 (q^34)+481828 (q^35)+454258 (q^36)+576576 (q^37)+531928 (q^38)+665221 (q^39)+647528 (q^40)+753928 (q^41)+723868 (q^42)+919800 (q^43)+831908 (q^44)+1005658 (q^45)+986496 (q^46)+1148980 (q^47)+1073478 (q^48)+1336216 (q^49));
lv5wt4y5Ie3=25 (Sqrt[6]) (q^(2/5)) (1+4 q+28 (q^2)+70 (q^3)+212 (q^4)+336 (q^5)+521 (q^6)+722 (q^7)+1344 (q^8)+1708 (q^9)+2534 (q^10)+2912 (q^11)+4032 (q^12)+4600 (q^13)+6813 (q^14)+7008 (q^15)+9562 (q^16)+10528 (q^17)+13800 (q^18)+13958 (q^19)+19096 (q^20)+19104 (q^21)+24856 (q^22)+25410 (q^23)+30982 (q^24)+31116 (q^25)+41776 (q^26)+40062 (q^27)+49912 (q^28)+50960 (q^29)+61740 (q^30)+60074 (q^31)+76777 (q^32)+70980 (q^33)+88532 (q^34)+88256 (q^35)+104496 (q^36)+100520 (q^37)+129276 (q^38)+118098 (q^39)+143262 (q^40)+141324 (q^41)+167198 (q^42)+157808 (q^43)+196840 (q^44)+179816 (q^45)+219510 (q^46)+212128 (q^47)+245213 (q^48)+232792 (q^49));
lv5wt4y5Ie4=25 (Sqrt[6]) (q^(8/5)) (9+42 q+85 (q^2)+204 (q^3)+376 (q^4)+560 (q^5)+1036 (q^6)+1128 (q^7)+2044 (q^8)+2290 (q^9)+3334 (q^10)+4036 (q^11)+5474 (q^12)+6174 (q^13)+8456 (q^14)+8736 (q^15)+11988 (q^16)+12880 (q^17)+16073 (q^18)+16940 (q^19)+23128 (q^20)+21862 (q^21)+28868 (q^22)+29680 (q^23)+36873 (q^24)+36176 (q^25)+47040 (q^26)+45304 (q^27)+56430 (q^28)+57358 (q^29)+68784 (q^30)+66032 (q^31)+86688 (q^32)+79674 (q^33)+97482 (q^34)+98000 (q^35)+117488 (q^36)+110678 (q^37)+138980 (q^38)+129144 (q^39)+157766 (q^40)+154000 (q^41)+178838 (q^42)+172004 (q^43)+215376 (q^44)+194286 (q^45)+234192 (q^46)+228480 (q^47)+268128 (q^48));
lv5wt4y5Ie5=5 (Sqrt[6]) (q^(4/5)) (-3+83 q+264 (q^2)+420 (q^3)+1260 (q^4)+1930 (q^5)+3514 (q^6)+4816 (q^7)+7204 (q^8)+9407 (q^9)+13720 (q^10)+15260 (q^11)+23597 (q^12)+26376 (q^13)+36214 (q^14)+37280 (q^15)+53984 (q^16)+54390 (q^17)+69664 (q^18)+78356 (q^19)+98910 (q^20)+100210 (q^21)+133840 (q^22)+129864 (q^23)+168224 (q^24)+170296 (q^25)+208764 (q^26)+207340 (q^27)+270993 (q^28)+252250 (q^29)+318048 (q^30)+320656 (q^31)+386834 (q^32)+372273 (q^33)+472360 (q^34)+442580 (q^35)+547560 (q^36)+541520 (q^37)+633514 (q^38)+609000 (q^39)+772184 (q^40)+699440 (q^41)+842964 (q^42)+839776 (q^43)+989304 (q^44)+919730 (q^45)+1155686 (q^46)+1048640 (q^47)+1279054 (q^48)+1230936 (q^49));

(Subscript[Y, 5II]^((4)))=(lv5wt4y5IIe1,lv5wt4y5IIe2,lv5wt4y5IIe3,lv5wt4y5IIe4,lv5wt4y5IIe5)

lv5wt4y5IIe1=1-60 q-390 (q^2)-1380 (q^3)-3630 (q^4)-5760 (q^5)-12120 (q^6)-16740 (q^7)-28350 (q^8)-36420 (q^9)-52590 (q^10)-64920 (q^11)-99240 (q^12)-106080 (q^13)-149760 (q^14)-162780 (q^15)-226110 (q^16)-238440 (q^17)-331230 (q^18)-333600 (q^19)-424230 (q^20)-466920 (q^21)-579480 (q^22)-588780 (q^23)-793800 (q^24)-727260 (q^25)-960420 (q^26)-989400 (q^27)-1217520 (q^28)-1181400 (q^29)-1466520 (q^30)-1442520 (q^31)-1817790 (q^32)-1808160 (q^33)-2142060 (q^34)-2000940 (q^35)-2675910 (q^36)-2457840 (q^37)-2987400 (q^38)-2981640 (q^39)-3403350 (q^40)-3340320 (q^41)-4200480 (q^42)-3858180 (q^43)-4715160 (q^44)-4405320 (q^45)-5310720 (q^46)-5025540 (q^47)-6350280 (q^48)-5714580 (q^49)-6541590 (q^50);
lv5wt4y5IIe2=25 (Sqrt[6]) (q^(6/5)) (4+20 q+73 (q^2)+148 (q^3)+302 (q^4)+460 (q^5)+853 (q^6)+1060 (q^7)+1680 (q^8)+2116 (q^9)+3096 (q^10)+3500 (q^11)+5168 (q^12)+5500 (q^13)+7692 (q^14)+8484 (q^15)+11036 (q^16)+11636 (q^17)+16124 (q^18)+15840 (q^19)+20614 (q^20)+21812 (q^21)+27398 (q^22)+27280 (q^23)+36048 (q^24)+34620 (q^25)+44226 (q^26)+44740 (q^27)+53810 (q^28)+52940 (q^29)+69128 (q^30)+64404 (q^31)+79188 (q^32)+79928 (q^33)+95956 (q^34)+91200 (q^35)+115488 (q^36)+107140 (q^37)+132553 (q^38)+129556 (q^39)+151264 (q^40)+144540 (q^41)+183960 (q^42)+166184 (q^43)+199882 (q^44)+197376 (q^45)+230596 (q^46)+215300 (q^47)+267208 (q^48));
lv5wt4y5IIe3=5 (Sqrt[6]) (q^(2/5)) (1+26 q+156 (q^2)+376 (q^3)+932 (q^4)+1580 (q^5)+2861 (q^6)+3876 (q^7)+6672 (q^8)+8026 (q^9)+12366 (q^10)+14760 (q^11)+20592 (q^12)+23126 (q^13)+34065 (q^14)+35232 (q^15)+47722 (q^16)+52540 (q^17)+68376 (q^18)+70176 (q^19)+95272 (q^20)+94326 (q^21)+123896 (q^22)+127924 (q^23)+156982 (q^24)+157426 (q^25)+209392 (q^26)+197976 (q^27)+247912 (q^28)+254186 (q^29)+308700 (q^30)+297876 (q^31)+382201 (q^32)+358026 (q^33)+446196 (q^34)+442280 (q^35)+523392 (q^36)+503432 (q^37)+645356 (q^38)+588276 (q^39)+713502 (q^40)+708414 (q^41)+836006 (q^42)+788392 (q^43)+982072 (q^44)+899726 (q^45)+1097550 (q^46)+1061840 (q^47)+1227293 (q^48)+1160160 (q^49));
lv5wt4y5IIe4=5 (Sqrt[6]) (q^(3/5)) (2+45 q+172 (q^2)+517 (q^3)+942 (q^4)+1928 (q^5)+2864 (q^6)+4780 (q^7)+6082 (q^8)+10092 (q^9)+11452 (q^10)+16870 (q^11)+20042 (q^12)+27578 (q^13)+29992 (q^14)+42584 (q^15)+43962 (q^16)+59940 (q^17)+64184 (q^18)+81593 (q^19)+84102 (q^20)+114840 (q^21)+110872 (q^22)+142340 (q^23)+148444 (q^24)+184365 (q^25)+181480 (q^26)+235824 (q^27)+225304 (q^28)+284278 (q^29)+286192 (q^30)+341520 (q^31)+332922 (q^32)+433440 (q^33)+398292 (q^34)+488010 (q^35)+488964 (q^36)+583328 (q^37)+553032 (q^38)+697844 (q^39)+645420 (q^40)+791262 (q^41)+770824 (q^42)+896390 (q^43)+853542 (q^44)+1078480 (q^45)+972912 (q^46)+1170336 (q^47)+1145942 (q^48)+1340640 (q^49));
lv5wt4y5IIe5=25 (Sqrt[6]) (q^(4/5)) (1+12 q+48 (q^2)+104 (q^3)+252 (q^4)+376 (q^5)+682 (q^6)+948 (q^7)+1492 (q^8)+1820 (q^9)+2824 (q^10)+3152 (q^11)+4617 (q^12)+5244 (q^13)+7030 (q^14)+7576 (q^15)+10816 (q^16)+10848 (q^17)+14344 (q^18)+15524 (q^19)+19782 (q^20)+19932 (q^21)+26608 (q^22)+26004 (q^23)+33472 (q^24)+34236 (q^25)+41652 (q^26)+41328 (q^27)+54493 (q^28)+50860 (q^29)+63456 (q^30)+64132 (q^31)+77402 (q^32)+74304 (q^33)+94552 (q^34)+88256 (q^35)+109512 (q^36)+108184 (q^37)+126394 (q^38)+121280 (q^39)+154520 (q^40)+140528 (q^41)+169548 (q^42)+167604 (q^43)+198168 (q^44)+184696 (q^45)+230438 (q^46)+210008 (q^47)+254982 (q^48)+246300 (q^49));

weight 6

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((6)))=lv5wt6y1

lv5wt6y1=1-504 q-16632 (q^2)-122976 (q^3)-532728 (q^4)-1575504 (q^5)-4058208 (q^6)-8471232 (q^7)-17047800 (q^8)-29883672 (q^9)-51991632 (q^10)-81170208 (q^11)-129985632 (q^12)-187132176 (q^13)-279550656 (q^14)-384422976 (q^15)-545530104 (q^16)-715608432 (q^17)-986161176 (q^18)-1247954400 (q^19)-1665307728 (q^20)-2066980608 (q^21)-2678616864 (q^22)-3243917376 (q^23)-4159663200 (q^24)-4923450504 (q^25)-6175361808 (q^26)-7261732800 (q^27)-8954092224 (q^28)-10337619600 (q^29)-12685958208 (q^30)-14429092608 (q^31)-17456963832 (q^32)-19805530752 (q^33)-23615078256 (q^34)-26481071232 (q^35)-31587041304 (q^36)-34949354832 (q^37)-41182495200 (q^38)-45660250944 (q^39)-53291422800 (q^40)-58391525808 (q^41)-68210360064 (q^42)-74092255776 (q^43)-85796909856 (q^44)-93416358672 (q^45)-107049273408 (q^46)-115589884032 (q^47)-133109345376 (q^48)-142375996728 (q^49)-162473866632 (q^50);

(Subscript[ρ, r])=3

(Subscript[Y, 3I]^((6)))=(lv5wt6y3Ie1,lv5wt6y3Ie2,lv5wt6y3Ie3)

lv5wt6y3Ie1=1+210 q-5060 (q^2)-62920 (q^3)-236970 (q^4)-737890 (q^5)-1691580 (q^6)-3937560 (q^7)-7364500 (q^8)-13786530 (q^9)-22787160 (q^10)-37459080 (q^11)-55945560 (q^12)-86599920 (q^13)-121361940 (q^14)-175779120 (q^15)-237763290 (q^16)-331242560 (q^17)-425339420 (q^18)-577731000 (q^19)-723567270 (q^20)-949303080 (q^21)-1163403120 (q^22)-1499736920 (q^23)-1792675500 (q^24)-2277996390 (q^25)-2684755080 (q^26)-3332098000 (q^27)-3890395080 (q^28)-4787986500 (q^29)-5468495780 (q^30)-6675718080 (q^31)-7586991060 (q^32)-9087951840 (q^33)-10266073440 (q^34)-12246086160 (q^35)-13621862790 (q^36)-16161892560 (q^37)-17895658000 (q^38)-20962204560 (q^39)-23160819000 (q^40)-27027437580 (q^41)-29395827120 (q^42)-34272850920 (q^43)-37309132440 (q^44)-42855857230 (q^45)-46553438580 (q^46)-53471637560 (q^47)-57358176920 (q^48)-65887046970 (q^49)-70589585660 (q^50);
lv5wt6y3Ie2=5 (Sqrt[2]) (q^(1/5)) (1+242 q+2652 (q^2)+13931 (q^3)+59532 (q^4)+172572 (q^5)+433952 (q^6)+873381 (q^7)+1729002 (q^8)+2962102 (q^9)+5114912 (q^10)+7978110 (q^11)+12600302 (q^12)+18065784 (q^13)+26981352 (q^14)+36700620 (q^15)+51756541 (q^16)+68021562 (q^17)+93126312 (q^18)+117442842 (q^19)+156759702 (q^20)+193531492 (q^21)+250740072 (q^22)+304075530 (q^23)+387032053 (q^24)+457218282 (q^25)+576003252 (q^26)+673462160 (q^27)+828173852 (q^28)+958718952 (q^29)+1171528952 (q^30)+1331725032 (q^31)+1614608292 (q^32)+1822945282 (q^33)+2173346780 (q^34)+2443833012 (q^35)+2899620902 (q^36)+3206488384 (q^37)+3794281152 (q^38)+4186130529 (q^39)+4875715812 (q^40)+5363343942 (q^41)+6241949252 (q^42)+6777367300 (q^43)+7868294592 (q^44)+8524013872 (q^45)+9775926864 (q^46)+10596109860 (q^47)+12135061202 (q^48)+12972410484 (q^49));
lv5wt6y3Ie3=5 (Sqrt[2]) (q^(4/5)) (3+727 q+8166 (q^2)+36740 (q^3)+117370 (q^4)+299310 (q^5)+661456 (q^6)+1338744 (q^7)+2383956 (q^8)+4228843 (q^9)+6623540 (q^10)+10646220 (q^11)+15527563 (q^12)+23295404 (q^13)+31993236 (q^14)+45977360 (q^15)+60291396 (q^16)+83334330 (q^17)+106183726 (q^18)+141320004 (q^19)+176102220 (q^20)+229624670 (q^21)+277220680 (q^22)+356110176 (q^23)+424229856 (q^24)+530977524 (q^25)+624969906 (q^26)+774146780 (q^27)+892653437 (q^28)+1096198950 (q^29)+1252424232 (q^30)+1510382984 (q^31)+1717095006 (q^32)+2057935597 (q^33)+2295735420 (q^34)+2743213860 (q^35)+3052141070 (q^36)+3584363640 (q^37)+3973908576 (q^38)+4657514600 (q^39)+5092698336 (q^40)+5951898480 (q^41)+6488783866 (q^42)+7489201104 (q^43)+8161359966 (q^44)+9399993110 (q^45)+10102442244 (q^46)+11637983280 (q^47)+12517740906 (q^48)+14226367364 (q^49));

(Subscript[Y, 3II]^((6)))=(lv5wt6y3IIe1,lv5wt6y3IIe2,lv5wt6y3IIe3)

lv5wt6y3IIe1=1-240 q-7260 (q^2)-56320 (q^3)-231570 (q^4)-728640 (q^5)-1750980 (q^6)-3917760 (q^7)-7408500 (q^8)-13717680 (q^9)-22589160 (q^10)-37572480 (q^11)-56024760 (q^12)-86560320 (q^13)-121540140 (q^14)-176373120 (q^15)-237194490 (q^16)-331013760 (q^17)-425002820 (q^18)-577632000 (q^19)-723678270 (q^20)-948768480 (q^21)-1163957520 (q^22)-1500544320 (q^23)-1793863500 (q^24)-2277422640 (q^25)-2685111480 (q^26)-3331504000 (q^27)-3890632680 (q^28)-4784868000 (q^29)-5467274780 (q^30)-6678756480 (q^31)-7585618260 (q^32)-9086288640 (q^33)-10268132640 (q^34)-12247868160 (q^35)-13622688990 (q^36)-16166525760 (q^37)-17895174000 (q^38)-20961135360 (q^39)-23156859000 (q^40)-27027348480 (q^41)-29393213520 (q^42)-34272712320 (q^43)-37307771640 (q^44)-42857272480 (q^45)-46546171980 (q^46)-53468141760 (q^47)-57366519320 (q^48)-65893006320 (q^49)-70600530660 (q^50);
lv5wt6y3IIe2=25 (Sqrt[2]) (q^(6/5)) (22+480 q+3039 (q^2)+12144 (q^3)+34356 (q^4)+85440 (q^5)+174309 (q^6)+345840 (q^7)+595650 (q^8)+1025728 (q^9)+1594038 (q^10)+2521200 (q^11)+3606504 (q^12)+5385600 (q^13)+7339596 (q^14)+10365872 (q^15)+13603758 (q^16)+18626688 (q^17)+23505042 (q^18)+31373760 (q^19)+38698572 (q^20)+50092416 (q^21)+60798474 (q^22)+77425920 (q^23)+91455774 (q^24)+115162080 (q^25)+134674128 (q^26)+165676720 (q^27)+191837880 (q^28)+234336960 (q^29)+266339304 (q^30)+322892592 (q^31)+364507014 (q^32)+434662624 (q^33)+488830308 (q^34)+579892800 (q^35)+641119424 (q^36)+758789760 (q^37)+837257889 (q^38)+975316848 (q^39)+1072762482 (q^40)+1248440160 (q^41)+1355425940 (q^42)+1573675392 (q^43)+1704942096 (q^44)+1955245248 (q^45)+2119162788 (q^46)+2426833200 (q^47)+2594487324 (q^48));
lv5wt6y3IIe3=25 (Sqrt[2]) (q^(4/5)) (3+176 q+1554 (q^2)+7392 (q^3)+22946 (q^4)+61248 (q^5)+131376 (q^6)+268224 (q^7)+477396 (q^8)+843120 (q^9)+1322332 (q^10)+2134176 (q^11)+3108111 (q^12)+4649392 (q^13)+6417180 (q^14)+9185088 (q^15)+12055428 (q^16)+16668864 (q^17)+21222762 (q^18)+28271712 (q^19)+35217276 (q^20)+45929136 (q^21)+55449944 (q^22)+71230272 (q^23)+84862176 (q^24)+106197168 (q^25)+124936086 (q^26)+154893024 (q^27)+178492009 (q^28)+219222960 (q^29)+250464888 (q^30)+302099776 (q^31)+343418526 (q^32)+411515712 (q^33)+459330036 (q^34)+548553888 (q^35)+610492806 (q^36)+716894112 (q^37)+794647392 (q^38)+931582080 (q^39)+1018506720 (q^40)+1190390784 (q^41)+1297885614 (q^42)+1497557952 (q^43)+1632321414 (q^44)+1879889088 (q^45)+2020512684 (q^46)+2327797824 (q^47)+2503534506 (q^48)+2845519600 (q^49));

(Subscript[ρ, r])=3'

(Subscript[Y, 3'I]^((6)))=(lv5wt6y3pIe1,lv5wt6y3pIe2,lv5wt6y3pIe3)

lv5wt6y3pIe1=1+260 q+6990 (q^2)+57180 (q^3)+231180 (q^4)+726360 (q^5)+1752520 (q^6)+3922740 (q^7)+7407750 (q^8)+13705820 (q^9)+22597090 (q^10)+37553520 (q^11)+56050740 (q^12)+86620680 (q^13)+121470360 (q^14)+176349380 (q^15)+237017260 (q^16)+331254240 (q^17)+425316930 (q^18)+577258000 (q^19)+723705480 (q^20)+948137520 (q^21)+1164633480 (q^22)+1501404180 (q^23)+1792769000 (q^24)+2277564860 (q^25)+2683409520 (q^26)+3333711000 (q^27)+3893093820 (q^28)+4781667000 (q^29)+5466972720 (q^30)+6674619520 (q^31)+7590645990 (q^32)+9092313360 (q^33)+10261655360 (q^34)+12247799340 (q^35)+13614010260 (q^36)+16176297240 (q^37)+17906691000 (q^38)+20947676640 (q^39)+23157022250 (q^40)+27010052520 (q^41)+29412357480 (q^42)+34294671180 (q^43)+37283841360 (q^44)+42857612520 (q^45)+46516066520 (q^46)+53502808740 (q^47)+57402204180 (q^48)+65851115180 (q^49)+70600675590 (q^50);
lv5wt6y3pIe2=-5 (Sqrt[2]) (q^(2/5)) (1+246 q+3606 (q^2)+21136 (q^3)+74652 (q^4)+213140 (q^5)+485301 (q^6)+1036116 (q^7)+1881132 (q^8)+3422206 (q^9)+5502996 (q^10)+8943880 (q^11)+13249952 (q^12)+20147586 (q^13)+27887795 (q^14)+40396392 (q^15)+53605002 (q^16)+74096220 (q^17)+95389986 (q^18)+128161056 (q^19)+158974112 (q^20)+209343946 (q^21)+255056226 (q^22)+325890564 (q^23)+390780302 (q^24)+493102926 (q^25)+577643112 (q^26)+720312616 (q^27)+834821352 (q^28)+1020201686 (q^29)+1174297300 (q^30)+1423745196 (q^31)+1606637341 (q^32)+1938684886 (q^33)+2178797166 (q^34)+2582303640 (q^35)+2887129512 (q^36)+3412980672 (q^37)+3760788326 (q^38)+4428501556 (q^39)+4862823702 (q^40)+5649252874 (q^41)+6198037356 (q^42)+7181184192 (q^43)+7764602472 (q^44)+8996198626 (q^45)+9727414950 (q^46)+11114060320 (q^47)+12000920053 (q^48)+13721735280 (q^49));
lv5wt6y3pIe3=-5 (Sqrt[2]) (q^(3/5)) (2+485 q+5532 (q^2)+27127 (q^3)+96262 (q^4)+249138 (q^5)+581304 (q^6)+1145540 (q^7)+2194122 (q^8)+3674662 (q^9)+6241252 (q^10)+9486510 (q^11)+14751642 (q^12)+21044208 (q^13)+30947112 (q^14)+41572344 (q^15)+58786642 (q^16)+76382220 (q^17)+103395904 (q^18)+130696843 (q^19)+173031702 (q^20)+211793820 (q^21)+274998832 (q^22)+330772620 (q^23)+418466004 (q^24)+497273845 (q^25)+621095640 (q^26)+720704204 (q^27)+892494864 (q^28)+1027725948 (q^29)+1246239472 (q^30)+1423740560 (q^31)+1717355682 (q^32)+1928801820 (q^33)+2312854012 (q^34)+2583663930 (q^35)+3050640604 (q^36)+3399108618 (q^37)+3996857472 (q^38)+4382076804 (q^39)+5144964660 (q^40)+5634789492 (q^41)+6516682704 (q^42)+7118995070 (q^43)+8230918062 (q^44)+8880916440 (q^45)+10249553992 (q^46)+11040650976 (q^47)+12594352502 (q^48)+13577554720 (q^49));

(Subscript[Y, 3'II]^((6)))=(lv5wt6y3pIIe1,lv5wt6y3pIIe2,lv5wt6y3pIIe3)

lv5wt6y3pIIe1=1-540 q+14190 (q^2)+35580 (q^3)+240780 (q^4)+798360 (q^5)+1646920 (q^6)+3857940 (q^7)+7551750 (q^8)+13828220 (q^9)+22449090 (q^10)+37351920 (q^11)+56309940 (q^12)+86491080 (q^13)+121153560 (q^14)+176793380 (q^15)+238028460 (q^16)+330505440 (q^17)+424215330 (q^18)+577434000 (q^19)+722841480 (q^20)+949087920 (q^21)+1166447880 (q^22)+1504046580 (q^23)+1790657000 (q^24)+2273584860 (q^25)+2682775920 (q^26)+3331767000 (q^27)+3893871420 (q^28)+4787211000 (q^29)+5476476720 (q^30)+6669217920 (q^31)+7586153190 (q^32)+9086870160 (q^33)+10257994560 (q^34)+12249131340 (q^35)+13612541460 (q^36)+16191460440 (q^37)+17905107000 (q^38)+20949577440 (q^39)+23154062250 (q^40)+27010210920 (q^41)+29403803880 (q^42)+34294217580 (q^43)+37286260560 (q^44)+42846596520 (q^45)+46528984920 (q^46)+53491367940 (q^47)+57429506580 (q^48)+65840520780 (q^49)+70591495590 (q^50);
lv5wt6y3pIIe2=-25 (Sqrt[2]) (q^(2/5)) (-3+78 q+606 (q^2)+4560 (q^3)+14124 (q^4)+43492 (q^5)+99057 (q^6)+200484 (q^7)+380028 (q^8)+689526 (q^9)+1099908 (q^10)+1786664 (q^11)+2628384 (q^12)+4050570 (q^13)+5587351 (q^14)+8086536 (q^15)+10721634 (q^16)+14752716 (q^17)+19092090 (q^18)+25681056 (q^19)+31838752 (q^20)+41821938 (q^21)+50974842 (q^22)+65169300 (q^23)+78174294 (q^24)+98662662 (q^25)+115499592 (q^26)+144131784 (q^27)+166793544 (q^28)+204167470 (q^29)+234873540 (q^30)+284576988 (q^31)+321560489 (q^32)+387745710 (q^33)+435757014 (q^34)+516223992 (q^35)+577448712 (q^36)+682680000 (q^37)+752032942 (q^38)+885671556 (q^39)+972913854 (q^40)+1130030258 (q^41)+1239573756 (q^42)+1436431296 (q^43)+1552030920 (q^44)+1798678122 (q^45)+1945926510 (q^46)+2223310496 (q^47)+2400496161 (q^48)+2744334384 (q^49));
lv5wt6y3pIIe3=-25 (Sqrt[2]) (q^(3/5)) (10+33 q+1164 (q^2)+5915 (q^3)+18078 (q^4)+49482 (q^5)+118680 (q^6)+229812 (q^7)+439026 (q^8)+722798 (q^9)+1251060 (q^10)+1919478 (q^11)+2945922 (q^12)+4204848 (q^13)+6155208 (q^14)+8322072 (q^15)+11787162 (q^16)+15260316 (q^17)+20744000 (q^18)+26096991 (q^19)+34572270 (q^20)+42348396 (q^21)+54949104 (q^22)+66233436 (q^23)+83691300 (q^24)+99560241 (q^25)+124212792 (q^26)+143985820 (q^27)+178513488 (q^28)+205626060 (q^29)+249196976 (q^30)+284581968 (q^31)+343541034 (q^32)+385836396 (q^33)+462808428 (q^34)+516764754 (q^35)+610073420 (q^36)+679760706 (q^37)+798992256 (q^38)+876538740 (q^39)+1028793348 (q^40)+1126885092 (q^41)+1303848720 (q^42)+1423866246 (q^43)+1646322918 (q^44)+1776208632 (q^45)+2049887592 (q^46)+2208261984 (q^47)+2518381390 (q^48)+2715078816 (q^49));

(Subscript[ρ, r])=4

(Subscript[Y, 4I]^((6)))=(lv5wt6y4Ie1,lv5wt6y4Ie2,lv5wt6y4Ie3,lv5wt6y4Ie4)

lv5wt6y4Ie1=10 (Sqrt[2]) (q^(1/5)) (-1+133 q-277 (q^2)+819 (q^3)-3282 (q^4)+428 (q^5)+8798 (q^6)+1994 (q^7)-16877 (q^8)+4398 (q^9)+7963 (q^10)-25110 (q^11)-2802 (q^12)+37841 (q^13)+36148 (q^14)-7745 (q^15)-9041 (q^16)-95812 (q^17)-8312 (q^18)+39533 (q^19)+71298 (q^20)-36242 (q^21)-100322 (q^22)-9280 (q^23)+74322 (q^24)+279468 (q^25)+119748 (q^26)+45465 (q^27)-623852 (q^28)-129577 (q^29)+798 (q^30)+4468 (q^31)-113292 (q^32)+195843 (q^33)+852970 (q^34)+263863 (q^35)-428402 (q^36)-1192134 (q^37)+686098 (q^38)+16471 (q^39)+810813 (q^40)+215308 (q^41)-887627 (q^42)-811425 (q^43)+33908 (q^44)+466003 (q^45)-957114 (q^46)-65360 (q^47)+99423 (q^48)+2252641 (q^49));
lv5wt6y4Ie2=-50 (Sqrt[2]) (q^(2/5)) (1-26 q+23 (q^2)+55 (q^3)+317 (q^4)-839 (q^5)+281 (q^6)-778 (q^7)+3474 (q^8)-4892 (q^9)+164 (q^10)+10687 (q^11)-9678 (q^12)+6385 (q^13)-15042 (q^14)-7362 (q^15)+17197 (q^16)+12928 (q^17)+570 (q^18)-3802 (q^19)-7859 (q^20)-18321 (q^21)+21886 (q^22)-5800 (q^23)+4402 (q^24)-39354 (q^25)+5611 (q^26)+58647 (q^27)-35348 (q^28)-2065 (q^29)+81645 (q^30)-66346 (q^31)+7537 (q^32)-25020 (q^33)-18988 (q^34)+46736 (q^35)+10296 (q^36)+20675 (q^37)-180089 (q^38)+139098 (q^39)-82818 (q^40)-69636 (q^41)-1702 (q^42)+232268 (q^43)+105010 (q^44)+68276 (q^45)+98880 (q^46)-359982 (q^47)-82162 (q^48)+27172 (q^49));
lv5wt6y4Ie3=-50 (Sqrt[2]) (q^(3/5)) (-5-39 q-12 (q^2)+430 (q^3)-174 (q^4)+94 (q^5)-1465 (q^6)-2171 (q^7)+3492 (q^8)+4391 (q^9)+1570 (q^10)-2624 (q^11)-10476 (q^12)-709 (q^13)+5361 (q^14)+1724 (q^15)-7971 (q^16)-10203 (q^17)+45750 (q^18)+797 (q^19)-10060 (q^20)+2957 (q^21)-16907 (q^22)-10288 (q^23)-85025 (q^24)+27897 (q^25)+55214 (q^26)+23190 (q^27)-4604 (q^28)+3870 (q^29)+26242 (q^30)+74406 (q^31)+51353 (q^32)-125118 (q^33)-56424 (q^34)-123057 (q^35)-17210 (q^36)+20852 (q^37)-42073 (q^38)+119030 (q^39)+66816 (q^40)+14564 (q^41)+179140 (q^42)-3418 (q^43)-22444 (q^44)-47581 (q^45)-203886 (q^46)-46422 (q^47)+161680 (q^48)+329922 (q^49));
lv5wt6y4Ie4=-10 (Sqrt[2]) (q^(4/5)) (-3+398 q-666 (q^2)-2115 (q^3)+4755 (q^4)-2560 (q^5)+1919 (q^6)+1756 (q^7)-1831 (q^8)+157 (q^9)-21415 (q^10)-8720 (q^11)+35437 (q^12)+21846 (q^13)-20986 (q^14)+70390 (q^15)-14646 (q^16)-114705 (q^17)-128476 (q^18)+118246 (q^19)+9780 (q^20)-14170 (q^21)+282695 (q^22)-37926 (q^23)+48394 (q^24)-453524 (q^25)+165969 (q^26)+150845 (q^27)-355562 (q^28)+516800 (q^29)-202482 (q^30)-190234 (q^31)-58631 (q^32)-363597 (q^33)+342080 (q^34)+252265 (q^35)+168930 (q^36)+547110 (q^37)-138826 (q^38)+18900 (q^39)+21289 (q^40)-599855 (q^41)-464241 (q^42)-661229 (q^43)-191466 (q^44)+353140 (q^45)-128744 (q^46)+1162720 (q^47)-48406 (q^48)+989511 (q^49));

(Subscript[Y, 4II]^((6)))=(lv5wt6y4IIe1,lv5wt6y4IIe2,lv5wt6y4IIe3,lv5wt6y4IIe4)

lv5wt6y4IIe1=-50 (Sqrt[2]) (q^(6/5)) (1-10 q+37 (q^2)-48 (q^3)-52 (q^4)+220 (q^5)-178 (q^6)-80 (q^7)+150 (q^8)-26 (q^9)+54 (q^10)-400 (q^11)+857 (q^12)-200 (q^13)-1107 (q^14)+376 (q^15)+764 (q^16)-496 (q^17)+11 (q^18)+2880 (q^19)-3074 (q^20)-1172 (q^21)-1408 (q^22)+1960 (q^23)+1692 (q^24)-960 (q^25)+10599 (q^26)-8240 (q^27)-7585 (q^28)-2020 (q^29)+2332 (q^30)-864 (q^31)+9687 (q^32)+14092 (q^33)-9311 (q^34)-3600 (q^35)-21558 (q^36)+11380 (q^37)-11363 (q^38)+11184 (q^39)+28156 (q^40)-17670 (q^41)+3345 (q^42)-9664 (q^43)-4757 (q^44)-10116 (q^45)+19504 (q^46)-3400 (q^47)+21517 (q^48));
lv5wt6y4IIe2=10 (Sqrt[2]) (q^(2/5)) (1-4 q-19 (q^2)+136 (q^3)-223 (q^4)-110 (q^5)+551 (q^6)-384 (q^7)+882 (q^8)-1544 (q^9)-2004 (q^10)+3880 (q^11)+2202 (q^12)+1586 (q^13)-10830 (q^14)-4608 (q^15)+12877 (q^16)+4720 (q^17)+3486 (q^18)-10944 (q^19)-9263 (q^20)-1554 (q^21)+16226 (q^22)+4064 (q^23)-17198 (q^24)-2324 (q^25)+14737 (q^26)+35616 (q^27)-46148 (q^28)+3686 (q^29)-2325 (q^30)-44304 (q^31)+27841 (q^32)+8136 (q^33)+65916 (q^34)+7640 (q^35)-16488 (q^36)-50578 (q^37)-61799 (q^38)+19056 (q^39)+72702 (q^40)-32376 (q^41)-93394 (q^42)+112192 (q^43)+41722 (q^44)+49376 (q^45)-4800 (q^46)-115680 (q^47)+23678 (q^48)+38280 (q^49));
lv5wt6y4IIe3=10 (Sqrt[2]) (q^(3/5)) (-2+15 q-32 (q^2)-2 (q^3)-12 (q^4)+362 (q^5)-304 (q^6)-1415 (q^7)+2128 (q^8)+713 (q^9)-752 (q^10)-1760 (q^11)-4392 (q^12)+8417 (q^13)-1112 (q^14)+2156 (q^15)+858 (q^16)-16845 (q^17)+12096 (q^18)-7843 (q^19)+9048 (q^20)+13055 (q^21)-10832 (q^22)+10880 (q^23)-31754 (q^24)-345 (q^25)+13360 (q^26)+5046 (q^27)+12136 (q^28)-8198 (q^29)-16472 (q^30)+20190 (q^31)+40818 (q^32)-51570 (q^33)-22512 (q^34)-10305 (q^35)+4396 (q^36)+11132 (q^37)-20472 (q^38)+108446 (q^39)+15840 (q^40)-51492 (q^41)+77296 (q^42)-148570 (q^43)-78312 (q^44)+12185 (q^45)-16992 (q^46)+68274 (q^47)-752 (q^48)+330030 (q^49));
lv5wt6y4IIe4=50 (Sqrt[2]) (q^(4/5)) (-1+8 q-18 (q^2)-14 (q^3)+93 (q^4)-16 (q^5)-217 (q^6)-8 (q^7)+443 (q^8)+160 (q^9)-619 (q^10)-392 (q^11)+363 (q^12)+336 (q^13)-10 (q^14)+1004 (q^15)+174 (q^16)-2088 (q^17)-1804 (q^18)+196 (q^19)+2508 (q^20)+2688 (q^21)+2927 (q^22)-2124 (q^23)-7042 (q^24)-4856 (q^25)+3213 (q^26)+4842 (q^27)+922 (q^28)+7280 (q^29)+1854 (q^30)-3892 (q^31)-11117 (q^32)-2304 (q^33)+3488 (q^34)-4646 (q^35)-1602 (q^36)+4896 (q^37)+18086 (q^38)+2440 (q^39)+9835 (q^40)-14528 (q^41)-15213 (q^42)-11834 (q^43)-8838 (q^44)+10304 (q^45)-13928 (q^46)+28192 (q^47)+25998 (q^48)+16800 (q^49));

(Subscript[ρ, r])=5

(Subscript[Y, 5I]^((6)))=(lv5wt6y5Ie1,lv5wt6y5Ie2,lv5wt6y5Ie3,lv5wt6y5Ie4,lv5wt6y5Ie5)

lv5wt6y5Ie1=1+246 q+3618 (q^2)+24024 (q^3)+102522 (q^4)+318246 (q^5)+810792 (q^6)+1722768 (q^7)+3393450 (q^8)+5946078 (q^9)+10389618 (q^10)+16218792 (q^11)+26023368 (q^12)+37482324 (q^13)+55987344 (q^14)+76752024 (q^15)+109243146 (q^16)+142933068 (q^17)+197242074 (q^18)+249840600 (q^19)+332448522 (q^20)+413443392 (q^21)+535886136 (q^22)+649464624 (q^23)+832321800 (q^24)+983268246 (q^25)+1235629692 (q^26)+1453177200 (q^27)+1790725776 (q^28)+2067822900 (q^29)+2533266792 (q^30)+2886571392 (q^31)+3493481418 (q^32)+3962713248 (q^33)+4724342244 (q^34)+5288778768 (q^35)+6320756946 (q^36)+6992581668 (q^37)+8239969800 (q^38)+9135391056 (q^39)+10641483450 (q^40)+11681425692 (q^41)+13647087936 (q^42)+14823961224 (q^43)+17166573144 (q^44)+18653760078 (q^45)+21418940592 (q^46)+23125099968 (q^47)+26631711624 (q^48)+28489046022 (q^49)+32445039618 (q^50);
lv5wt6y5Ie2=-(Sqrt[6]) (q^(1/5)) (1+252 q+5052 (q^2)+35551 (q^3)+131552 (q^4)+395802 (q^5)+921152 (q^6)+2027851 (q^7)+3728202 (q^8)+6857352 (q^9)+11182152 (q^10)+18317400 (q^11)+27276302 (q^12)+41833104 (q^13)+58169352 (q^14)+84398300 (q^15)+112987801 (q^16)+156490452 (q^17)+201366352 (q^18)+272605452 (q^19)+338948502 (q^20)+445222002 (q^21)+545803352 (q^22)+699456450 (q^23)+836561653 (q^24)+1060808952 (q^25)+1244573652 (q^26)+1549443150 (q^27)+1805213952 (q^28)+2206743102 (q^29)+2531913752 (q^30)+3089053352 (q^31)+3490297152 (q^32)+4193204652 (q^33)+4735747700 (q^34)+5623223652 (q^35)+6266484902 (q^36)+7436210304 (q^37)+8200289952 (q^38)+9631524399 (q^39)+10626555152 (q^40)+12340621752 (q^41)+13492270052 (q^42)+15720987000 (q^43)+17005495452 (q^44)+19613041302 (q^45)+21306520704 (q^46)+24377154900 (q^47)+26225377202 (q^48)+30092786904 (q^49));
lv5wt6y5Ie3=-(Sqrt[6]) (q^(2/5)) (3+728 q+8428 (q^2)+44178 (q^3)+171156 (q^4)+466600 (q^5)+1122303 (q^6)+2237078 (q^7)+4364256 (q^8)+7386528 (q^9)+12652178 (q^10)+19485200 (q^11)+30471456 (q^12)+43611428 (q^13)+64722675 (q^14)+87293856 (q^15)+123312606 (q^16)+161455800 (q^17)+219377928 (q^18)+276895778 (q^19)+368809656 (q^20)+452589228 (q^21)+586992728 (q^22)+710102822 (q^23)+899148906 (q^24)+1065822128 (q^25)+1339874256 (q^26)+1556689578 (q^27)+1920568056 (q^28)+2223408228 (q^29)+2701621500 (q^30)+3076810478 (q^31)+3727168203 (q^32)+4190447928 (q^33)+5012547428 (q^34)+5627223600 (q^35)+6643442256 (q^36)+7376723256 (q^37)+8724054028 (q^38)+9571708278 (q^39)+11187997506 (q^40)+12309996072 (q^41)+14258471178 (q^42)+15522086656 (q^43)+18011532456 (q^44)+19443170628 (q^45)+22380707250 (q^46)+24219540800 (q^47)+27610708959 (q^48)+29657102200 (q^49));
lv5wt6y5Ie4=-(Sqrt[6]) (q^(3/5)) (4+975 q+12254 (q^2)+62679 (q^3)+210504 (q^4)+567896 (q^5)+1268208 (q^6)+2637900 (q^7)+4741004 (q^8)+8517004 (q^9)+13513254 (q^10)+21827850 (q^11)+32106104 (q^12)+48458046 (q^13)+66835754 (q^14)+96438408 (q^15)+127082004 (q^16)+175745700 (q^17)+225348608 (q^18)+300756171 (q^19)+373940504 (q^20)+491222200 (q^21)+594344754 (q^22)+761009700 (q^23)+911936808 (q^24)+1143952575 (q^25)+1342722400 (q^26)+1671765408 (q^27)+1928915208 (q^28)+2364400346 (q^29)+2716098954 (q^30)+3275511600 (q^31)+3711580004 (q^32)+4474975200 (q^33)+4998280254 (q^34)+5944517550 (q^35)+6647665208 (q^36)+7820252496 (q^37)+8638282754 (q^38)+10165402308 (q^39)+11120379600 (q^40)+12964342754 (q^41)+14201157408 (q^42)+16378971450 (q^43)+17790539504 (q^44)+20600308400 (q^45)+22151783754 (q^46)+25404025392 (q^47)+27444205804 (q^48)+31238383200 (q^49));
lv5wt6y5Ie5=-(Sqrt[6]) (q^(4/5)) (7+1693 q+18264 (q^2)+80900 (q^3)+266700 (q^4)+658350 (q^5)+1508214 (q^6)+2921336 (q^7)+5495364 (q^8)+9132057 (q^9)+15341400 (q^10)+23042700 (q^11)+35743807 (q^12)+50648736 (q^13)+73818114 (q^14)+99227600 (q^15)+139856864 (q^16)+180229050 (q^17)+244118064 (q^18)+308073036 (q^19)+405096450 (q^20)+496365950 (q^21)+643138800 (q^22)+769526064 (q^23)+976228064 (q^24)+1157103536 (q^25)+1437347964 (q^26)+1673942300 (q^27)+2070139843 (q^28)+2369415750 (q^29)+2881549728 (q^30)+3291510936 (q^31)+3950577414 (q^32)+4446779943 (q^33)+5327632200 (q^34)+5927360100 (q^35)+7022536200 (q^36)+7812382400 (q^37)+9141131814 (q^38)+10067921000 (q^39)+11812487064 (q^40)+12863746800 (q^41)+14930695764 (q^42)+16317229736 (q^43)+18780824664 (q^44)+20314371350 (q^45)+23435340786 (q^46)+25155154800 (q^47)+28797134114 (q^48)+31003997136 (q^49));

(Subscript[Y, 5II]^((6)))=(lv5wt6y5IIe1,lv5wt6y5IIe2,lv5wt6y5IIe3,lv5wt6y5IIe4,lv5wt6y5IIe5)

lv5wt6y5IIe1=-1000 (Sqrt[3]) q (1+2 q-4 (q^2)-28 (q^3)+25 (q^4)-8 (q^5)+192 (q^6)-120 (q^7)-227 (q^8)+50 (q^9)-148 (q^10)+112 (q^11)+286 (q^12)+384 (q^13)-100 (q^14)+656 (q^15)-1678 (q^16)-454 (q^17)+1060 (q^18)-700 (q^19)-768 (q^20)-296 (q^21)+2976 (q^22)+480 (q^23)+625 (q^24)+572 (q^25)+1880 (q^26)-5376 (q^27)-3410 (q^28)-200 (q^29)-2448 (q^30)+5152 (q^31)+592 (q^32)-3356 (q^33)+4800 (q^34)+6356 (q^35)+182 (q^36)+2120 (q^37)-1144 (q^38)-3000 (q^39)-9398 (q^40)-1536 (q^41)-1244 (q^42)+4144 (q^43)-5675 (q^44)+5952 (q^45)-12088 (q^46)-2624 (q^47)+20057 (q^48)+1250 (q^49));
lv5wt6y5IIe2=20 (Sqrt[2]) (q^(1/5)) (1-8 q-148 (q^2)+656 (q^3)-768 (q^4)+572 (q^5)-2448 (q^6)+6356 (q^7)-9398 (q^8)+5952 (q^9)+6712 (q^10)-23040 (q^11)+32302 (q^12)+1184 (q^13)-32648 (q^14)-29680 (q^15)+47641 (q^16)-2488 (q^17)+54912 (q^18)-20608 (q^19)-89898 (q^20)+47692 (q^21)-728 (q^22)+95480 (q^23)-139147 (q^24)-87168 (q^25)+76452 (q^26)+201360 (q^27)+48352 (q^28)-77548 (q^29)-446648 (q^30)+32032 (q^31)+571392 (q^32)+33432 (q^33)-240620 (q^34)-97088 (q^35)-107098 (q^36)+19584 (q^37)+469552 (q^38)-561596 (q^39)-243888 (q^40)-39008 (q^41)+1105652 (q^42)-225600 (q^43)-479908 (q^44)+22372 (q^45)+113664 (q^46)+560560 (q^47)-110798 (q^48)+75184 (q^49));
lv5wt6y5IIe3=40 (Sqrt[2]) (q^(2/5)) (1+96 q+56 (q^2)-839 (q^3)-148 (q^4)+940 (q^5)+2576 (q^6)+91 (q^7)-768 (q^8)-6044 (q^9)-4004 (q^10)-2120 (q^11)-2448 (q^12)+30486 (q^13)+13620 (q^14)-14208 (q^15)-9398 (q^16)+6820 (q^17)-41664 (q^18)-59519 (q^19)+6712 (q^20)+79146 (q^21)+62976 (q^22)-32461 (q^23)+32302 (q^24)+35276 (q^25)-8288 (q^26)-72459 (q^27)-32648 (q^28)-40114 (q^29)-63600 (q^30)-131129 (q^31)+47641 (q^32)+198336 (q^33)+17416 (q^34)+40040 (q^35)+54912 (q^36)+124172 (q^37)+21376 (q^38)+227931 (q^39)-89898 (q^40)-337776 (q^41)-333844 (q^42)-235008 (q^43)-728 (q^44)-11674 (q^45)+204600 (q^46)+66720 (q^47)-139147 (q^48)+151580 (q^49));
lv5wt6y5IIe4=40 (Sqrt[2]) (q^(3/5)) (-2-60 q+143 (q^2)-227 (q^3)+1488 (q^4)-2688 (q^5)+296 (q^6)+1060 (q^7)-622 (q^8)-1312 (q^9)+11923 (q^10)-3410 (q^11)-21792 (q^12)+23492 (q^13)-19387 (q^14)-1144 (q^15)+8358 (q^16)+8880 (q^17)+4896 (q^18)+20057 (q^19)-9752 (q^20)-26320 (q^21)+5593 (q^22)-20020 (q^23)+18796 (q^24)-93120 (q^25)+101760 (q^26)-11904 (q^27)-21164 (q^28)-2548 (q^29)+190453 (q^30)-33360 (q^31)-77282 (q^32)+46080 (q^33)-286737 (q^34)+101370 (q^35)-64604 (q^36)+169232 (q^37)+26353 (q^38)+33596 (q^39)-327360 (q^40)+93808 (q^41)+65296 (q^42)+36830 (q^43)+560788 (q^44)+59360 (q^45)-242667 (q^46)-322176 (q^47)-323702 (q^48)+146880 (q^49));
lv5wt6y5IIe5=-20 (Sqrt[2]) (q^(4/5)) (28+227 q-384 (q^2)-1060 (q^3)-480 (q^4)+3410 (q^5)+3356 (q^6)+1144 (q^7)-4144 (q^8)-20057 (q^9)-3760 (q^10)+20020 (q^11)+10688 (q^12)+11904 (q^13)-364 (q^14)+33360 (q^15)-21504 (q^16)-101370 (q^17)+24176 (q^18)-33596 (q^19)+34320 (q^20)-36830 (q^21)+8480 (q^22)+322176 (q^23)-68544 (q^24)-4976 (q^25)-121944 (q^26)-112220 (q^27)+148912 (q^28)-403750 (q^29)+56832 (q^30)+95384 (q^31)-263144 (q^32)+289497 (q^33)-27280 (q^34)+594460 (q^35)+357120 (q^36)-360960 (q^37)+238076 (q^38)-865000 (q^39)+187936 (q^40)+156880 (q^41)-316584 (q^42)-155096 (q^43)-989184 (q^44)+596010 (q^45)+129844 (q^46)+48880 (q^47)+904456 (q^48)+66864 (q^49));

weight 0

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((0)))=(lv5ph0y3e1,lv5ph0y3e2,lv5ph0y3e3)

lv5ph0y3e1=0.856271381317112` +((31 (E^(-200 π y)))/(10 π (q^50)))+((645 (E^(-196 π y)))/(98 π (q^49)))+((55 (E^(-192 π y)))/(24 π (q^48)))+((230 (E^(-188 π y)))/(47 π (q^47)))+((165 (E^(-184 π y)))/(46 π (q^46)))+((91 (E^(-180 π y)))/(18 π (q^45)))+((135 (E^(-176 π y)))/(22 π (q^44)))+((210 (E^(-172 π y)))/(43 π (q^43)))+((10 (E^(-168 π y)))/(7 π (q^42)))+((315 (E^(-164 π y)))/(41 π (q^41)))+((15 (E^(-160 π y)))/(4 π (q^40)))+((60 (E^(-156 π y)))/(13 π (q^39)))+((50 (E^(-152 π y)))/(19 π (q^38)))+((180 (E^(-148 π y)))/(37 π (q^37)))+((35 (E^(-144 π y)))/(8 π (q^36)))+((36 (E^(-140 π y)))/(7 π (q^35)))+((60 (E^(-136 π y)))/(17 π (q^34)))+((40 (E^(-132 π y)))/(11 π (q^33)))+((105 (E^(-128 π y)))/(32 π (q^32)))+((240 (E^(-124 π y)))/(31 π (q^31)))+((13 (E^(-120 π y)))/(6 π (q^30)))+((225 (E^(-116 π y)))/(29 π (q^29)))+((45 (E^(-112 π y)))/(14 π (q^28)))+((100 (E^(-108 π y)))/(27 π (q^27)))+((45 (E^(-104 π y)))/(13 π (q^26)))+((63 (E^(-100 π y)))/(10 π (q^25)))+((25 (E^(-96 π y)))/(8 π (q^24)))+((110 (E^(-92 π y)))/(23 π (q^23)))+((30 (E^(-88 π y)))/(11 π (q^22)))+((30 (E^(-84 π y)))/(7 π (q^21)))+((39 (E^(-80 π y)))/(8 π (q^20)))+((150 (E^(-76 π y)))/(19 π (q^19)))+((35 (E^(-72 π y)))/(18 π (q^18)))+((80 (E^(-68 π y)))/(17 π (q^17)))+((165 (E^(-64 π y)))/(32 π (q^16)))+((4 (E^(-60 π y)))/(π (q^15)))+((45 (E^(-56 π y)))/(14 π (q^14)))+((60 (E^(-52 π y)))/(13 π (q^13)))+((5 (E^(-48 π y)))/(2 π (q^12)))+((90 (E^(-44 π y)))/(11 π (q^11)))+((3 (E^(-40 π y)))/(π (q^10)))+((35 (E^(-36 π y)))/(6 π (q^9)))+((25 (E^(-32 π y)))/(8 π (q^8)))+((30 (E^(-28 π y)))/(7 π (q^7)))+((5 (E^(-24 π y)))/(2 π (q^6)))+((13 (E^(-20 π y)))/(2 π (q^5)))+((45 (E^(-16 π y)))/(8 π (q^4)))+((10 (E^(-12 π y)))/(3 π (q^3)))+((5 (E^(-8 π y)))/(2 π (q^2)))+((15 (E^(-4 π y)))/(2 π q))+((15 q)/(2 π))+((5 (q^2))/(2 π))+((10 (q^3))/(3 π))+((45 (q^4))/(8 π))+((13 (q^5))/(2 π))+((5 (q^6))/(2 π))+((30 (q^7))/(7 π))+((25 (q^8))/(8 π))+((35 (q^9))/(6 π))+((3 (q^10))/π)+((90 (q^11))/(11 π))+((5 (q^12))/(2 π))+((60 (q^13))/(13 π))+((45 (q^14))/(14 π))+((4 (q^15))/π)+((165 (q^16))/(32 π))+((80 (q^17))/(17 π))+((35 (q^18))/(18 π))+((150 (q^19))/(19 π))+((39 (q^20))/(8 π))+((30 (q^21))/(7 π))+((30 (q^22))/(11 π))+((110 (q^23))/(23 π))+((25 (q^24))/(8 π))+((63 (q^25))/(10 π))+((45 (q^26))/(13 π))+((100 (q^27))/(27 π))+((45 (q^28))/(14 π))+((225 (q^29))/(29 π))+((13 (q^30))/(6 π))+((240 (q^31))/(31 π))+((105 (q^32))/(32 π))+((40 (q^33))/(11 π))+((60 (q^34))/(17 π))+((36 (q^35))/(7 π))+((35 (q^36))/(8 π))+((180 (q^37))/(37 π))+((50 (q^38))/(19 π))+((60 (q^39))/(13 π))+((15 (q^40))/(4 π))+((315 (q^41))/(41 π))+((10 (q^42))/(7 π))+((210 (q^43))/(43 π))+((135 (q^44))/(22 π))+((91 (q^45))/(18 π))+((165 (q^46))/(46 π))+((230 (q^47))/(47 π))+((55 (q^48))/(24 π))+((645 (q^49))/(98 π))+((31 (q^50))/(10 π))+y;
lv5ph0y3e2=-((1025 (Sqrt[2]) (E^(-((996 π y)/5))))/(249 π (q^(249/5))))-((2325 (E^(-((976 π y)/5))))/(244 (Sqrt[2]) π (q^(244/5))))-((1500 (Sqrt[2]) (E^(-((956 π y)/5))))/(239 π (q^(239/5))))-((175 (E^(-((936 π y)/5))))/(39 (Sqrt[2]) π (q^(234/5))))-((2875 (E^(-((916 π y)/5))))/(229 (Sqrt[2]) π (q^(229/5))))-((225 (E^(-((896 π y)/5))))/(32 (Sqrt[2]) π (q^(224/5))))-((300 (Sqrt[2]) (E^(-((876 π y)/5))))/(73 π (q^(219/5))))-((1325 (E^(-((856 π y)/5))))/(214 (Sqrt[2]) π (q^(214/5))))-((1500 (Sqrt[2]) (E^(-((836 π y)/5))))/(209 π (q^(209/5))))-((50 (Sqrt[2]) (E^(-((816 π y)/5))))/(17 π (q^(204/5))))-((1250 (Sqrt[2]) (E^(-((796 π y)/5))))/(199 π (q^(199/5))))-((300 (Sqrt[2]) (E^(-((776 π y)/5))))/(97 π (q^(194/5))))-((250 (Sqrt[2]) (E^(-((756 π y)/5))))/(63 π (q^(189/5))))-((1375 (E^(-((736 π y)/5))))/(184 (Sqrt[2]) π (q^(184/5))))-((1125 (Sqrt[2]) (E^(-((716 π y)/5))))/(179 π (q^(179/5))))-((125 (E^(-((696 π y)/5))))/(29 (Sqrt[2]) π (q^(174/5))))-((3925 (E^(-((676 π y)/5))))/(338 (Sqrt[2]) π (q^(169/5))))-((1575 (E^(-((656 π y)/5))))/(164 (Sqrt[2]) π (q^(164/5))))-((650 (Sqrt[2]) (E^(-((636 π y)/5))))/(159 π (q^(159/5))))-((225 (Sqrt[2]) (E^(-((616 π y)/5))))/(77 π (q^(154/5))))-((1875 (E^(-((596 π y)/5))))/(149 (Sqrt[2]) π (q^(149/5))))-((1925 (E^(-((576 π y)/5))))/(288 (Sqrt[2]) π (q^(144/5))))-((875 (Sqrt[2]) (E^(-((556 π y)/5))))/(139 π (q^(139/5))))-((825 (E^(-((536 π y)/5))))/(134 (Sqrt[2]) π (q^(134/5))))-((175 (Sqrt[2]) (E^(-((516 π y)/5))))/(43 π (q^(129/5))))-((150 (Sqrt[2]) (E^(-((496 π y)/5))))/(31 π (q^(124/5))))-((600 (Sqrt[2]) (E^(-((476 π y)/5))))/(119 π (q^(119/5))))-((125 (Sqrt[2]) (E^(-((456 π y)/5))))/(57 π (q^(114/5))))-((1375 (E^(-((436 π y)/5))))/(109 (Sqrt[2]) π (q^(109/5))))-((375 (E^(-((416 π y)/5))))/(52 (Sqrt[2]) π (q^(104/5))))-((175 (Sqrt[2]) (E^(-((396 π y)/5))))/(33 π (q^(99/5))))-((575 (E^(-((376 π y)/5))))/(94 (Sqrt[2]) π (q^(94/5))))-((1125 (E^(-((356 π y)/5))))/(89 (Sqrt[2]) π (q^(89/5))))-((75 (E^(-((336 π y)/5))))/(14 (Sqrt[2]) π (q^(84/5))))-((500 (Sqrt[2]) (E^(-((316 π y)/5))))/(79 π (q^(79/5))))-((225 (E^(-((296 π y)/5))))/(37 (Sqrt[2]) π (q^(74/5))))-((275 (Sqrt[2]) (E^(-((276 π y)/5))))/(69 π (q^(69/5))))-((1075 (E^(-((256 π y)/5))))/(128 (Sqrt[2]) π (q^(64/5))))-((375 (Sqrt[2]) (E^(-((236 π y)/5))))/(59 π (q^(59/5))))-((125 (E^(-((216 π y)/5))))/(27 (Sqrt[2]) π (q^(54/5))))-((1075 (E^(-((196 π y)/5))))/(98 (Sqrt[2]) π (q^(49/5))))-((225 (E^(-((176 π y)/5))))/(22 (Sqrt[2]) π (q^(44/5))))-((50 (Sqrt[2]) (E^(-((156 π y)/5))))/(13 π (q^(39/5))))-((50 (Sqrt[2]) (E^(-((136 π y)/5))))/(17 π (q^(34/5))))-((375 (E^(-((116 π y)/5))))/(29 (Sqrt[2]) π (q^(29/5))))-((125 (E^(-((96 π y)/5))))/(24 (Sqrt[2]) π (q^(24/5))))-((125 (Sqrt[2]) (E^(-((76 π y)/5))))/(19 π (q^(19/5))))-((75 (E^(-((56 π y)/5))))/(14 (Sqrt[2]) π (q^(14/5))))-((175 (E^(-((36 π y)/5))))/(18 (Sqrt[2]) π (q^(9/5))))-((75 (E^(-((16 π y)/5))))/(8 (Sqrt[2]) π (q^(4/5))))-((25 (q^(1/5)))/(2 (Sqrt[2]) π))-((25 (q^(6/5)))/(6 (Sqrt[2]) π))-((75 (Sqrt[2]) (q^(11/5)))/(11 π))-((275 (q^(16/5)))/(32 (Sqrt[2]) π))-((25 (Sqrt[2]) (q^(21/5)))/(7 π))-((75 (q^(26/5)))/(13 (Sqrt[2]) π))-((200 (Sqrt[2]) (q^(31/5)))/(31 π))-((175 (q^(36/5)))/(24 (Sqrt[2]) π))-((525 (q^(41/5)))/(41 (Sqrt[2]) π))-((275 (q^(46/5)))/(46 (Sqrt[2]) π))-((200 (Sqrt[2]) (q^(51/5)))/(51 π))-((375 (q^(56/5)))/(56 (Sqrt[2]) π))-((775 (q^(61/5)))/(61 (Sqrt[2]) π))-((25 (Sqrt[2]) (q^(66/5)))/(11 π))-((450 (Sqrt[2]) (q^(71/5)))/(71 π))-((375 (q^(76/5)))/(38 (Sqrt[2]) π))-((1525 (q^(81/5)))/(162 (Sqrt[2]) π))-((525 (q^(86/5)))/(86 (Sqrt[2]) π))-((450 (Sqrt[2]) (q^(91/5)))/(91 π))-((175 (q^(96/5)))/(32 (Sqrt[2]) π))-((1275 (q^(101/5)))/(101 (Sqrt[2]) π))-((325 (q^(106/5)))/(53 (Sqrt[2]) π))-((150 (Sqrt[2]) (q^(111/5)))/(37 π))-((1125 (q^(116/5)))/(116 (Sqrt[2]) π))-((3325 (q^(121/5)))/(242 (Sqrt[2]) π))-((25 (q^(126/5)))/(6 (Sqrt[2]) π))-((825 (Sqrt[2]) (q^(131/5)))/(131 π))-((125 (q^(136/5)))/(17 (Sqrt[2]) π))-((575 (Sqrt[2]) (q^(141/5)))/(141 π))-((225 (Sqrt[2]) (q^(146/5)))/(73 π))-((950 (Sqrt[2]) (q^(151/5)))/(151 π))-((75 (q^(156/5)))/(13 (Sqrt[2]) π))-((825 (Sqrt[2]) (q^(161/5)))/(161 π))-((1025 (q^(166/5)))/(166 (Sqrt[2]) π))-((875 (Sqrt[2]) (q^(171/5)))/(171 π))-((75 (q^(176/5)))/(8 (Sqrt[2]) π))-((2275 (q^(181/5)))/(181 (Sqrt[2]) π))-((200 (Sqrt[2]) (q^(186/5)))/(93 π))-((1200 (Sqrt[2]) (q^(191/5)))/(191 π))-((3225 (q^(196/5)))/(392 (Sqrt[2]) π))-((275 (Sqrt[2]) (q^(201/5)))/(67 π))-((1275 (q^(206/5)))/(206 (Sqrt[2]) π))-((1325 (Sqrt[2]) (q^(211/5)))/(211 π))-((625 (q^(216/5)))/(108 (Sqrt[2]) π))-((1200 (Sqrt[2]) (q^(221/5)))/(221 π))-((350 (Sqrt[2]) (q^(226/5)))/(113 π))-((300 (Sqrt[2]) (q^(231/5)))/(77 π))-((1125 (q^(236/5)))/(118 (Sqrt[2]) π))-((3025 (q^(241/5)))/(241 (Sqrt[2]) π))-((175 (q^(246/5)))/(41 (Sqrt[2]) π));
lv5ph0y3e3=-((175 (E^(-((984 π y)/5))))/(41 (Sqrt[2]) π (q^(246/5))))-((3025 (E^(-((964 π y)/5))))/(241 (Sqrt[2]) π (q^(241/5))))-((1125 (E^(-((944 π y)/5))))/(118 (Sqrt[2]) π (q^(236/5))))-((300 (Sqrt[2]) (E^(-((924 π y)/5))))/(77 π (q^(231/5))))-((350 (Sqrt[2]) (E^(-((904 π y)/5))))/(113 π (q^(226/5))))-((1200 (Sqrt[2]) (E^(-((884 π y)/5))))/(221 π (q^(221/5))))-((625 (E^(-((864 π y)/5))))/(108 (Sqrt[2]) π (q^(216/5))))-((1325 (Sqrt[2]) (E^(-((844 π y)/5))))/(211 π (q^(211/5))))-((1275 (E^(-((824 π y)/5))))/(206 (Sqrt[2]) π (q^(206/5))))-((275 (Sqrt[2]) (E^(-((804 π y)/5))))/(67 π (q^(201/5))))-((3225 (E^(-((784 π y)/5))))/(392 (Sqrt[2]) π (q^(196/5))))-((1200 (Sqrt[2]) (E^(-((764 π y)/5))))/(191 π (q^(191/5))))-((200 (Sqrt[2]) (E^(-((744 π y)/5))))/(93 π (q^(186/5))))-((2275 (E^(-((724 π y)/5))))/(181 (Sqrt[2]) π (q^(181/5))))-((75 (E^(-((704 π y)/5))))/(8 (Sqrt[2]) π (q^(176/5))))-((875 (Sqrt[2]) (E^(-((684 π y)/5))))/(171 π (q^(171/5))))-((1025 (E^(-((664 π y)/5))))/(166 (Sqrt[2]) π (q^(166/5))))-((825 (Sqrt[2]) (E^(-((644 π y)/5))))/(161 π (q^(161/5))))-((75 (E^(-((624 π y)/5))))/(13 (Sqrt[2]) π (q^(156/5))))-((950 (Sqrt[2]) (E^(-((604 π y)/5))))/(151 π (q^(151/5))))-((225 (Sqrt[2]) (E^(-((584 π y)/5))))/(73 π (q^(146/5))))-((575 (Sqrt[2]) (E^(-((564 π y)/5))))/(141 π (q^(141/5))))-((125 (E^(-((544 π y)/5))))/(17 (Sqrt[2]) π (q^(136/5))))-((825 (Sqrt[2]) (E^(-((524 π y)/5))))/(131 π (q^(131/5))))-((25 (E^(-((504 π y)/5))))/(6 (Sqrt[2]) π (q^(126/5))))-((3325 (E^(-((484 π y)/5))))/(242 (Sqrt[2]) π (q^(121/5))))-((1125 (E^(-((464 π y)/5))))/(116 (Sqrt[2]) π (q^(116/5))))-((150 (Sqrt[2]) (E^(-((444 π y)/5))))/(37 π (q^(111/5))))-((325 (E^(-((424 π y)/5))))/(53 (Sqrt[2]) π (q^(106/5))))-((1275 (E^(-((404 π y)/5))))/(101 (Sqrt[2]) π (q^(101/5))))-((175 (E^(-((384 π y)/5))))/(32 (Sqrt[2]) π (q^(96/5))))-((450 (Sqrt[2]) (E^(-((364 π y)/5))))/(91 π (q^(91/5))))-((525 (E^(-((344 π y)/5))))/(86 (Sqrt[2]) π (q^(86/5))))-((1525 (E^(-((324 π y)/5))))/(162 (Sqrt[2]) π (q^(81/5))))-((375 (E^(-((304 π y)/5))))/(38 (Sqrt[2]) π (q^(76/5))))-((450 (Sqrt[2]) (E^(-((284 π y)/5))))/(71 π (q^(71/5))))-((25 (Sqrt[2]) (E^(-((264 π y)/5))))/(11 π (q^(66/5))))-((775 (E^(-((244 π y)/5))))/(61 (Sqrt[2]) π (q^(61/5))))-((375 (E^(-((224 π y)/5))))/(56 (Sqrt[2]) π (q^(56/5))))-((200 (Sqrt[2]) (E^(-((204 π y)/5))))/(51 π (q^(51/5))))-((275 (E^(-((184 π y)/5))))/(46 (Sqrt[2]) π (q^(46/5))))-((525 (E^(-((164 π y)/5))))/(41 (Sqrt[2]) π (q^(41/5))))-((175 (E^(-((144 π y)/5))))/(24 (Sqrt[2]) π (q^(36/5))))-((200 (Sqrt[2]) (E^(-((124 π y)/5))))/(31 π (q^(31/5))))-((75 (E^(-((104 π y)/5))))/(13 (Sqrt[2]) π (q^(26/5))))-((25 (Sqrt[2]) (E^(-((84 π y)/5))))/(7 π (q^(21/5))))-((275 (E^(-((64 π y)/5))))/(32 (Sqrt[2]) π (q^(16/5))))-((75 (Sqrt[2]) (E^(-((44 π y)/5))))/(11 π (q^(11/5))))-((25 (E^(-((24 π y)/5))))/(6 (Sqrt[2]) π (q^(6/5))))-((25 (E^(-((4 π y)/5))))/(2 (Sqrt[2]) π (q^(1/5))))-((75 (q^(4/5)))/(8 (Sqrt[2]) π))-((175 (q^(9/5)))/(18 (Sqrt[2]) π))-((75 (q^(14/5)))/(14 (Sqrt[2]) π))-((125 (Sqrt[2]) (q^(19/5)))/(19 π))-((125 (q^(24/5)))/(24 (Sqrt[2]) π))-((375 (q^(29/5)))/(29 (Sqrt[2]) π))-((50 (Sqrt[2]) (q^(34/5)))/(17 π))-((50 (Sqrt[2]) (q^(39/5)))/(13 π))-((225 (q^(44/5)))/(22 (Sqrt[2]) π))-((1075 (q^(49/5)))/(98 (Sqrt[2]) π))-((125 (q^(54/5)))/(27 (Sqrt[2]) π))-((375 (Sqrt[2]) (q^(59/5)))/(59 π))-((1075 (q^(64/5)))/(128 (Sqrt[2]) π))-((275 (Sqrt[2]) (q^(69/5)))/(69 π))-((225 (q^(74/5)))/(37 (Sqrt[2]) π))-((500 (Sqrt[2]) (q^(79/5)))/(79 π))-((75 (q^(84/5)))/(14 (Sqrt[2]) π))-((1125 (q^(89/5)))/(89 (Sqrt[2]) π))-((575 (q^(94/5)))/(94 (Sqrt[2]) π))-((175 (Sqrt[2]) (q^(99/5)))/(33 π))-((375 (q^(104/5)))/(52 (Sqrt[2]) π))-((1375 (q^(109/5)))/(109 (Sqrt[2]) π))-((125 (Sqrt[2]) (q^(114/5)))/(57 π))-((600 (Sqrt[2]) (q^(119/5)))/(119 π))-((150 (Sqrt[2]) (q^(124/5)))/(31 π))-((175 (Sqrt[2]) (q^(129/5)))/(43 π))-((825 (q^(134/5)))/(134 (Sqrt[2]) π))-((875 (Sqrt[2]) (q^(139/5)))/(139 π))-((1925 (q^(144/5)))/(288 (Sqrt[2]) π))-((1875 (q^(149/5)))/(149 (Sqrt[2]) π))-((225 (Sqrt[2]) (q^(154/5)))/(77 π))-((650 (Sqrt[2]) (q^(159/5)))/(159 π))-((1575 (q^(164/5)))/(164 (Sqrt[2]) π))-((3925 (q^(169/5)))/(338 (Sqrt[2]) π))-((125 (q^(174/5)))/(29 (Sqrt[2]) π))-((1125 (Sqrt[2]) (q^(179/5)))/(179 π))-((1375 (q^(184/5)))/(184 (Sqrt[2]) π))-((250 (Sqrt[2]) (q^(189/5)))/(63 π))-((300 (Sqrt[2]) (q^(194/5)))/(97 π))-((1250 (Sqrt[2]) (q^(199/5)))/(199 π))-((50 (Sqrt[2]) (q^(204/5)))/(17 π))-((1500 (Sqrt[2]) (q^(209/5)))/(209 π))-((1325 (q^(214/5)))/(214 (Sqrt[2]) π))-((300 (Sqrt[2]) (q^(219/5)))/(73 π))-((225 (q^(224/5)))/(32 (Sqrt[2]) π))-((2875 (q^(229/5)))/(229 (Sqrt[2]) π))-((175 (q^(234/5)))/(39 (Sqrt[2]) π))-((1500 (Sqrt[2]) (q^(239/5)))/(239 π))-((2325 (q^(244/5)))/(244 (Sqrt[2]) π))-((1025 (Sqrt[2]) (q^(249/5)))/(249 π));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((0)))=(lv5ph0y3pe1,lv5ph0y3pe2,lv5ph0y3pe3)

lv5ph0y3pe1=-0.8562713813171127`-((63 (E^(-200 π y)))/(20 π (q^50)))-((215 (E^(-196 π y)))/(49 π (q^49)))-((55 (E^(-192 π y)))/(16 π (q^48)))-((345 (E^(-188 π y)))/(47 π (q^47)))-((55 (E^(-184 π y)))/(23 π (q^46)))-((14 (E^(-180 π y)))/(3 π (q^45)))-((45 (E^(-176 π y)))/(11 π (q^44)))-((315 (E^(-172 π y)))/(43 π (q^43)))-((15 (E^(-168 π y)))/(7 π (q^42)))-((210 (E^(-164 π y)))/(41 π (q^41)))-((65 (E^(-160 π y)))/(16 π (q^40)))-((40 (E^(-156 π y)))/(13 π (q^39)))-((75 (E^(-152 π y)))/(19 π (q^38)))-((270 (E^(-148 π y)))/(37 π (q^37)))-((35 (E^(-144 π y)))/(12 π (q^36)))-((39 (E^(-140 π y)))/(7 π (q^35)))-((40 (E^(-136 π y)))/(17 π (q^34)))-((60 (E^(-132 π y)))/(11 π (q^33)))-((315 (E^(-128 π y)))/(64 π (q^32)))-((160 (E^(-124 π y)))/(31 π (q^31)))-((2 (E^(-120 π y)))/(π (q^30)))-((150 (E^(-116 π y)))/(29 π (q^29)))-((135 (E^(-112 π y)))/(28 π (q^28)))-((50 (E^(-108 π y)))/(9 π (q^27)))-((30 (E^(-104 π y)))/(13 π (q^26)))-((31 (E^(-100 π y)))/(5 π (q^25)))-((25 (E^(-96 π y)))/(12 π (q^24)))-((165 (E^(-92 π y)))/(23 π (q^23)))-((45 (E^(-88 π y)))/(11 π (q^22)))-((20 (E^(-84 π y)))/(7 π (q^21)))-((9 (E^(-80 π y)))/(2 π (q^20)))-((100 (E^(-76 π y)))/(19 π (q^19)))-((35 (E^(-72 π y)))/(12 π (q^18)))-((120 (E^(-68 π y)))/(17 π (q^17)))-((55 (E^(-64 π y)))/(16 π (q^16)))-((13 (E^(-60 π y)))/(3 π (q^15)))-((15 (E^(-56 π y)))/(7 π (q^14)))-((90 (E^(-52 π y)))/(13 π (q^13)))-((15 (E^(-48 π y)))/(4 π (q^12)))-((60 (E^(-44 π y)))/(11 π (q^11)))-((13 (E^(-40 π y)))/(4 π (q^10)))-((35 (E^(-36 π y)))/(9 π (q^9)))-((75 (E^(-32 π y)))/(16 π (q^8)))-((45 (E^(-28 π y)))/(7 π (q^7)))-((5 (E^(-24 π y)))/(3 π (q^6)))-((6 (E^(-20 π y)))/(π (q^5)))-((15 (E^(-16 π y)))/(4 π (q^4)))-((5 (E^(-12 π y)))/(π (q^3)))-((15 (E^(-8 π y)))/(4 π (q^2)))-((5 (E^(-4 π y)))/(π q))-((5 q)/π)-((15 (q^2))/(4 π))-((5 (q^3))/π)-((15 (q^4))/(4 π))-((6 (q^5))/π)-((5 (q^6))/(3 π))-((45 (q^7))/(7 π))-((75 (q^8))/(16 π))-((35 (q^9))/(9 π))-((13 (q^10))/(4 π))-((60 (q^11))/(11 π))-((15 (q^12))/(4 π))-((90 (q^13))/(13 π))-((15 (q^14))/(7 π))-((13 (q^15))/(3 π))-((55 (q^16))/(16 π))-((120 (q^17))/(17 π))-((35 (q^18))/(12 π))-((100 (q^19))/(19 π))-((9 (q^20))/(2 π))-((20 (q^21))/(7 π))-((45 (q^22))/(11 π))-((165 (q^23))/(23 π))-((25 (q^24))/(12 π))-((31 (q^25))/(5 π))-((30 (q^26))/(13 π))-((50 (q^27))/(9 π))-((135 (q^28))/(28 π))-((150 (q^29))/(29 π))-((2 (q^30))/π)-((160 (q^31))/(31 π))-((315 (q^32))/(64 π))-((60 (q^33))/(11 π))-((40 (q^34))/(17 π))-((39 (q^35))/(7 π))-((35 (q^36))/(12 π))-((270 (q^37))/(37 π))-((75 (q^38))/(19 π))-((40 (q^39))/(13 π))-((65 (q^40))/(16 π))-((210 (q^41))/(41 π))-((15 (q^42))/(7 π))-((315 (q^43))/(43 π))-((45 (q^44))/(11 π))-((14 (q^45))/(3 π))-((55 (q^46))/(23 π))-((345 (q^47))/(47 π))-((55 (q^48))/(16 π))-((215 (q^49))/(49 π))-((63 (q^50))/(20 π))+y;
lv5ph0y3pe2=((125 (Sqrt[2]) (E^(-((992 π y)/5))))/(31 π (q^(248/5))))+((2275 (E^(-((972 π y)/5))))/(243 (Sqrt[2]) π (q^(243/5))))+((300 (Sqrt[2]) (E^(-((952 π y)/5))))/(119 π (q^(238/5))))+((1450 (Sqrt[2]) (E^(-((932 π y)/5))))/(233 π (q^(233/5))))+((125 (E^(-((912 π y)/5))))/(19 (Sqrt[2]) π (q^(228/5))))+((2775 (E^(-((892 π y)/5))))/(223 (Sqrt[2]) π (q^(223/5))))+((1375 (E^(-((872 π y)/5))))/(218 (Sqrt[2]) π (q^(218/5))))+((300 (Sqrt[2]) (E^(-((852 π y)/5))))/(71 π (q^(213/5))))+((825 (E^(-((832 π y)/5))))/(104 (Sqrt[2]) π (q^(208/5))))+((1125 (Sqrt[2]) (E^(-((812 π y)/5))))/(203 π (q^(203/5))))+((175 (E^(-((792 π y)/5))))/(33 (Sqrt[2]) π (q^(198/5))))+((1200 (Sqrt[2]) (E^(-((772 π y)/5))))/(193 π (q^(193/5))))+((1725 (E^(-((752 π y)/5))))/(188 (Sqrt[2]) π (q^(188/5))))+((775 (Sqrt[2]) (E^(-((732 π y)/5))))/(183 π (q^(183/5))))+((1125 (E^(-((712 π y)/5))))/(178 (Sqrt[2]) π (q^(178/5))))+((1075 (Sqrt[2]) (E^(-((692 π y)/5))))/(173 π (q^(173/5))))+((125 (E^(-((672 π y)/5))))/(28 (Sqrt[2]) π (q^(168/5))))+((2025 (E^(-((652 π y)/5))))/(163 (Sqrt[2]) π (q^(163/5))))+((250 (Sqrt[2]) (E^(-((632 π y)/5))))/(79 π (q^(158/5))))+((700 (Sqrt[2]) (E^(-((612 π y)/5))))/(153 π (q^(153/5))))+((675 (E^(-((592 π y)/5))))/(74 (Sqrt[2]) π (q^(148/5))))+((900 (Sqrt[2]) (E^(-((572 π y)/5))))/(143 π (q^(143/5))))+((275 (E^(-((552 π y)/5))))/(69 (Sqrt[2]) π (q^(138/5))))+((750 (Sqrt[2]) (E^(-((532 π y)/5))))/(133 π (q^(133/5))))+((2125 (E^(-((512 π y)/5))))/(256 (Sqrt[2]) π (q^(128/5))))+((175 (Sqrt[2]) (E^(-((492 π y)/5))))/(41 π (q^(123/5))))+((375 (E^(-((472 π y)/5))))/(59 (Sqrt[2]) π (q^(118/5))))+((700 (Sqrt[2]) (E^(-((452 π y)/5))))/(113 π (q^(113/5))))+((125 (E^(-((432 π y)/5))))/(18 (Sqrt[2]) π (q^(108/5))))+((1275 (E^(-((412 π y)/5))))/(103 (Sqrt[2]) π (q^(103/5))))+((1075 (E^(-((392 π y)/5))))/(196 (Sqrt[2]) π (q^(98/5))))+((400 (Sqrt[2]) (E^(-((372 π y)/5))))/(93 π (q^(93/5))))+((375 (E^(-((352 π y)/5))))/(44 (Sqrt[2]) π (q^(88/5))))+((1025 (E^(-((332 π y)/5))))/(83 (Sqrt[2]) π (q^(83/5))))+((25 (Sqrt[2]) (E^(-((312 π y)/5))))/(13 π (q^(78/5))))+((450 (Sqrt[2]) (E^(-((292 π y)/5))))/(73 π (q^(73/5))))+((75 (Sqrt[2]) (E^(-((272 π y)/5))))/(17 π (q^(68/5))))+((25 (E^(-((252 π y)/5))))/(3 (Sqrt[2]) π (q^(63/5))))+((375 (E^(-((232 π y)/5))))/(58 (Sqrt[2]) π (q^(58/5))))+((325 (Sqrt[2]) (E^(-((212 π y)/5))))/(53 π (q^(53/5))))+((275 (E^(-((192 π y)/5))))/(48 (Sqrt[2]) π (q^(48/5))))+((525 (E^(-((172 π y)/5))))/(43 (Sqrt[2]) π (q^(43/5))))+((125 (E^(-((152 π y)/5))))/(19 (Sqrt[2]) π (q^(38/5))))+((50 (Sqrt[2]) (E^(-((132 π y)/5))))/(11 π (q^(33/5))))+((225 (E^(-((112 π y)/5))))/(28 (Sqrt[2]) π (q^(28/5))))+((275 (E^(-((92 π y)/5))))/(23 (Sqrt[2]) π (q^(23/5))))+((175 (E^(-((72 π y)/5))))/(36 (Sqrt[2]) π (q^(18/5))))+((75 (Sqrt[2]) (E^(-((52 π y)/5))))/(13 π (q^(13/5))))+((125 (E^(-((32 π y)/5))))/(16 (Sqrt[2]) π (q^(8/5))))+((25 (E^(-((12 π y)/5))))/(3 (Sqrt[2]) π (q^(3/5))))+((25 (q^(2/5)))/(4 (Sqrt[2]) π))+((75 (q^(7/5)))/(7 (Sqrt[2]) π))+((25 (q^(12/5)))/(4 (Sqrt[2]) π))+((100 (Sqrt[2]) (q^(17/5)))/(17 π))+((75 (q^(22/5)))/(11 (Sqrt[2]) π))+((125 (Sqrt[2]) (q^(27/5)))/(27 π))+((525 (q^(32/5)))/(64 (Sqrt[2]) π))+((225 (Sqrt[2]) (q^(37/5)))/(37 π))+((25 (q^(42/5)))/(7 (Sqrt[2]) π))+((575 (q^(47/5)))/(47 (Sqrt[2]) π))+((225 (q^(52/5)))/(26 (Sqrt[2]) π))+((250 (Sqrt[2]) (q^(57/5)))/(57 π))+((100 (Sqrt[2]) (q^(62/5)))/(31 π))+((825 (q^(67/5)))/(67 (Sqrt[2]) π))+((875 (q^(72/5)))/(144 (Sqrt[2]) π))+((450 (Sqrt[2]) (q^(77/5)))/(77 π))+((525 (q^(82/5)))/(82 (Sqrt[2]) π))+((125 (Sqrt[2]) (q^(87/5)))/(29 π))+((825 (q^(92/5)))/(92 (Sqrt[2]) π))+((600 (Sqrt[2]) (q^(97/5)))/(97 π))+((100 (Sqrt[2]) (q^(102/5)))/(51 π))+((1325 (q^(107/5)))/(107 (Sqrt[2]) π))+((825 (q^(112/5)))/(112 (Sqrt[2]) π))+((175 (Sqrt[2]) (q^(117/5)))/(39 π))+((775 (q^(122/5)))/(122 (Sqrt[2]) π))+((1575 (q^(127/5)))/(127 (Sqrt[2]) π))+((75 (q^(132/5)))/(11 (Sqrt[2]) π))+((850 (Sqrt[2]) (q^(137/5)))/(137 π))+((225 (Sqrt[2]) (q^(142/5)))/(71 π))+((1075 (q^(147/5)))/(147 (Sqrt[2]) π))+((625 (q^(152/5)))/(76 (Sqrt[2]) π))+((975 (Sqrt[2]) (q^(157/5)))/(157 π))+((1525 (q^(162/5)))/(324 (Sqrt[2]) π))+((2075 (q^(167/5)))/(167 (Sqrt[2]) π))+((1575 (q^(172/5)))/(172 (Sqrt[2]) π))+((250 (Sqrt[2]) (q^(177/5)))/(59 π))+((225 (Sqrt[2]) (q^(182/5)))/(91 π))+((1200 (Sqrt[2]) (q^(187/5)))/(187 π))+((1075 (q^(192/5)))/(192 (Sqrt[2]) π))+((1225 (Sqrt[2]) (q^(197/5)))/(197 π))+((1275 (q^(202/5)))/(202 (Sqrt[2]) π))+((1925 (q^(207/5)))/(207 (Sqrt[2]) π))+((975 (q^(212/5)))/(106 (Sqrt[2]) π))+((1200 (Sqrt[2]) (q^(217/5)))/(217 π))+((75 (Sqrt[2]) (q^(222/5)))/(37 π))+((2825 (q^(227/5)))/(227 (Sqrt[2]) π))+((1875 (q^(232/5)))/(232 (Sqrt[2]) π))+((1000 (Sqrt[2]) (q^(237/5)))/(237 π))+((3325 (q^(242/5)))/(484 (Sqrt[2]) π))+((1500 (Sqrt[2]) (q^(247/5)))/(247 π));
lv5ph0y3pe3=((1500 (Sqrt[2]) (E^(-((988 π y)/5))))/(247 π (q^(247/5))))+((3325 (E^(-((968 π y)/5))))/(484 (Sqrt[2]) π (q^(242/5))))+((1000 (Sqrt[2]) (E^(-((948 π y)/5))))/(237 π (q^(237/5))))+((1875 (E^(-((928 π y)/5))))/(232 (Sqrt[2]) π (q^(232/5))))+((2825 (E^(-((908 π y)/5))))/(227 (Sqrt[2]) π (q^(227/5))))+((75 (Sqrt[2]) (E^(-((888 π y)/5))))/(37 π (q^(222/5))))+((1200 (Sqrt[2]) (E^(-((868 π y)/5))))/(217 π (q^(217/5))))+((975 (E^(-((848 π y)/5))))/(106 (Sqrt[2]) π (q^(212/5))))+((1925 (E^(-((828 π y)/5))))/(207 (Sqrt[2]) π (q^(207/5))))+((1275 (E^(-((808 π y)/5))))/(202 (Sqrt[2]) π (q^(202/5))))+((1225 (Sqrt[2]) (E^(-((788 π y)/5))))/(197 π (q^(197/5))))+((1075 (E^(-((768 π y)/5))))/(192 (Sqrt[2]) π (q^(192/5))))+((1200 (Sqrt[2]) (E^(-((748 π y)/5))))/(187 π (q^(187/5))))+((225 (Sqrt[2]) (E^(-((728 π y)/5))))/(91 π (q^(182/5))))+((250 (Sqrt[2]) (E^(-((708 π y)/5))))/(59 π (q^(177/5))))+((1575 (E^(-((688 π y)/5))))/(172 (Sqrt[2]) π (q^(172/5))))+((2075 (E^(-((668 π y)/5))))/(167 (Sqrt[2]) π (q^(167/5))))+((1525 (E^(-((648 π y)/5))))/(324 (Sqrt[2]) π (q^(162/5))))+((975 (Sqrt[2]) (E^(-((628 π y)/5))))/(157 π (q^(157/5))))+((625 (E^(-((608 π y)/5))))/(76 (Sqrt[2]) π (q^(152/5))))+((1075 (E^(-((588 π y)/5))))/(147 (Sqrt[2]) π (q^(147/5))))+((225 (Sqrt[2]) (E^(-((568 π y)/5))))/(71 π (q^(142/5))))+((850 (Sqrt[2]) (E^(-((548 π y)/5))))/(137 π (q^(137/5))))+((75 (E^(-((528 π y)/5))))/(11 (Sqrt[2]) π (q^(132/5))))+((1575 (E^(-((508 π y)/5))))/(127 (Sqrt[2]) π (q^(127/5))))+((775 (E^(-((488 π y)/5))))/(122 (Sqrt[2]) π (q^(122/5))))+((175 (Sqrt[2]) (E^(-((468 π y)/5))))/(39 π (q^(117/5))))+((825 (E^(-((448 π y)/5))))/(112 (Sqrt[2]) π (q^(112/5))))+((1325 (E^(-((428 π y)/5))))/(107 (Sqrt[2]) π (q^(107/5))))+((100 (Sqrt[2]) (E^(-((408 π y)/5))))/(51 π (q^(102/5))))+((600 (Sqrt[2]) (E^(-((388 π y)/5))))/(97 π (q^(97/5))))+((825 (E^(-((368 π y)/5))))/(92 (Sqrt[2]) π (q^(92/5))))+((125 (Sqrt[2]) (E^(-((348 π y)/5))))/(29 π (q^(87/5))))+((525 (E^(-((328 π y)/5))))/(82 (Sqrt[2]) π (q^(82/5))))+((450 (Sqrt[2]) (E^(-((308 π y)/5))))/(77 π (q^(77/5))))+((875 (E^(-((288 π y)/5))))/(144 (Sqrt[2]) π (q^(72/5))))+((825 (E^(-((268 π y)/5))))/(67 (Sqrt[2]) π (q^(67/5))))+((100 (Sqrt[2]) (E^(-((248 π y)/5))))/(31 π (q^(62/5))))+((250 (Sqrt[2]) (E^(-((228 π y)/5))))/(57 π (q^(57/5))))+((225 (E^(-((208 π y)/5))))/(26 (Sqrt[2]) π (q^(52/5))))+((575 (E^(-((188 π y)/5))))/(47 (Sqrt[2]) π (q^(47/5))))+((25 (E^(-((168 π y)/5))))/(7 (Sqrt[2]) π (q^(42/5))))+((225 (Sqrt[2]) (E^(-((148 π y)/5))))/(37 π (q^(37/5))))+((525 (E^(-((128 π y)/5))))/(64 (Sqrt[2]) π (q^(32/5))))+((125 (Sqrt[2]) (E^(-((108 π y)/5))))/(27 π (q^(27/5))))+((75 (E^(-((88 π y)/5))))/(11 (Sqrt[2]) π (q^(22/5))))+((100 (Sqrt[2]) (E^(-((68 π y)/5))))/(17 π (q^(17/5))))+((25 (E^(-((48 π y)/5))))/(4 (Sqrt[2]) π (q^(12/5))))+((75 (E^(-((28 π y)/5))))/(7 (Sqrt[2]) π (q^(7/5))))+((25 (E^(-((8 π y)/5))))/(4 (Sqrt[2]) π (q^(2/5))))+((25 (q^(3/5)))/(3 (Sqrt[2]) π))+((125 (q^(8/5)))/(16 (Sqrt[2]) π))+((75 (Sqrt[2]) (q^(13/5)))/(13 π))+((175 (q^(18/5)))/(36 (Sqrt[2]) π))+((275 (q^(23/5)))/(23 (Sqrt[2]) π))+((225 (q^(28/5)))/(28 (Sqrt[2]) π))+((50 (Sqrt[2]) (q^(33/5)))/(11 π))+((125 (q^(38/5)))/(19 (Sqrt[2]) π))+((525 (q^(43/5)))/(43 (Sqrt[2]) π))+((275 (q^(48/5)))/(48 (Sqrt[2]) π))+((325 (Sqrt[2]) (q^(53/5)))/(53 π))+((375 (q^(58/5)))/(58 (Sqrt[2]) π))+((25 (q^(63/5)))/(3 (Sqrt[2]) π))+((75 (Sqrt[2]) (q^(68/5)))/(17 π))+((450 (Sqrt[2]) (q^(73/5)))/(73 π))+((25 (Sqrt[2]) (q^(78/5)))/(13 π))+((1025 (q^(83/5)))/(83 (Sqrt[2]) π))+((375 (q^(88/5)))/(44 (Sqrt[2]) π))+((400 (Sqrt[2]) (q^(93/5)))/(93 π))+((1075 (q^(98/5)))/(196 (Sqrt[2]) π))+((1275 (q^(103/5)))/(103 (Sqrt[2]) π))+((125 (q^(108/5)))/(18 (Sqrt[2]) π))+((700 (Sqrt[2]) (q^(113/5)))/(113 π))+((375 (q^(118/5)))/(59 (Sqrt[2]) π))+((175 (Sqrt[2]) (q^(123/5)))/(41 π))+((2125 (q^(128/5)))/(256 (Sqrt[2]) π))+((750 (Sqrt[2]) (q^(133/5)))/(133 π))+((275 (q^(138/5)))/(69 (Sqrt[2]) π))+((900 (Sqrt[2]) (q^(143/5)))/(143 π))+((675 (q^(148/5)))/(74 (Sqrt[2]) π))+((700 (Sqrt[2]) (q^(153/5)))/(153 π))+((250 (Sqrt[2]) (q^(158/5)))/(79 π))+((2025 (q^(163/5)))/(163 (Sqrt[2]) π))+((125 (q^(168/5)))/(28 (Sqrt[2]) π))+((1075 (Sqrt[2]) (q^(173/5)))/(173 π))+((1125 (q^(178/5)))/(178 (Sqrt[2]) π))+((775 (Sqrt[2]) (q^(183/5)))/(183 π))+((1725 (q^(188/5)))/(188 (Sqrt[2]) π))+((1200 (Sqrt[2]) (q^(193/5)))/(193 π))+((175 (q^(198/5)))/(33 (Sqrt[2]) π))+((1125 (Sqrt[2]) (q^(203/5)))/(203 π))+((825 (q^(208/5)))/(104 (Sqrt[2]) π))+((300 (Sqrt[2]) (q^(213/5)))/(71 π))+((1375 (q^(218/5)))/(218 (Sqrt[2]) π))+((2775 (q^(223/5)))/(223 (Sqrt[2]) π))+((125 (q^(228/5)))/(19 (Sqrt[2]) π))+((1450 (Sqrt[2]) (q^(233/5)))/(233 π))+((300 (Sqrt[2]) (q^(238/5)))/(119 π))+((2275 (q^(243/5)))/(243 (Sqrt[2]) π))+((125 (Sqrt[2]) (q^(248/5)))/(31 π));

(Subscript[ρ, r])=5

(Subscript[Y, 5]^((0)))=(lv5ph0y5e1,lv5ph0y5e2,lv5ph0y5e3,lv5ph0y5e4,lv5ph0y5e5)

lv5ph0y5e1=-0.6403749984084703`-((9 (E^(-200 π y)))/(100 π (q^50)))-((171 (E^(-196 π y)))/(98 π (q^49)))-((31 (E^(-192 π y)))/(8 π (q^48)))-((72 (E^(-188 π y)))/(47 π (q^47)))-((54 (E^(-184 π y)))/(23 π (q^46)))-((13 (E^(-180 π y)))/(30 π (q^45)))-((63 (E^(-176 π y)))/(22 π (q^44)))-((66 (E^(-172 π y)))/(43 π (q^43)))-((24 (E^(-168 π y)))/(7 π (q^42)))-((63 (E^(-164 π y)))/(41 π (q^41)))-((9 (E^(-160 π y)))/(16 π (q^40)))-((28 (E^(-156 π y)))/(13 π (q^39)))-((45 (E^(-152 π y)))/(19 π (q^38)))-((57 (E^(-148 π y)))/(37 π (q^37)))-((91 (E^(-144 π y)))/(24 π (q^36)))-((12 (E^(-140 π y)))/(35 π (q^35)))-((81 (E^(-136 π y)))/(34 π (q^34)))-((24 (E^(-132 π y)))/(11 π (q^33)))-((189 (E^(-128 π y)))/(64 π (q^32)))-((48 (E^(-124 π y)))/(31 π (q^31)))-((3 (E^(-120 π y)))/(5 π (q^30)))-((45 (E^(-116 π y)))/(29 π (q^29)))-((3 (E^(-112 π y)))/(π (q^28)))-((20 (E^(-108 π y)))/(9 π (q^27)))-((63 (E^(-104 π y)))/(26 π (q^26)))-((3 (E^(-100 π y)))/(50 π (q^25)))-((15 (E^(-96 π y)))/(4 π (q^24)))-((36 (E^(-92 π y)))/(23 π (q^23)))-((27 (E^(-88 π y)))/(11 π (q^22)))-((16 (E^(-84 π y)))/(7 π (q^21)))-((21 (E^(-80 π y)))/(40 π (q^20)))-((30 (E^(-76 π y)))/(19 π (q^19)))-((13 (E^(-72 π y)))/(4 π (q^18)))-((27 (E^(-68 π y)))/(17 π (q^17)))-((93 (E^(-64 π y)))/(32 π (q^16)))-((2 (E^(-60 π y)))/(5 π (q^15)))-((18 (E^(-56 π y)))/(7 π (q^14)))-((21 (E^(-52 π y)))/(13 π (q^13)))-((7 (E^(-48 π y)))/(2 π (q^12)))-((18 (E^(-44 π y)))/(11 π (q^11)))-((9 (E^(-40 π y)))/(20 π (q^10)))-((13 (E^(-36 π y)))/(6 π (q^9)))-((45 (E^(-32 π y)))/(16 π (q^8)))-((12 (E^(-28 π y)))/(7 π (q^7)))-((3 (E^(-24 π y)))/(π (q^6)))-((3 (E^(-20 π y)))/(10 π (q^5)))-((21 (E^(-16 π y)))/(8 π (q^4)))-((2 (E^(-12 π y)))/(π (q^3)))-((9 (E^(-8 π y)))/(4 π (q^2)))-((3 (E^(-4 π y)))/(2 π q))-((3 q)/(2 π))-((9 (q^2))/(4 π))-((2 (q^3))/π)-((21 (q^4))/(8 π))-((3 (q^5))/(10 π))-((3 (q^6))/π)-((12 (q^7))/(7 π))-((45 (q^8))/(16 π))-((13 (q^9))/(6 π))-((9 (q^10))/(20 π))-((18 (q^11))/(11 π))-((7 (q^12))/(2 π))-((21 (q^13))/(13 π))-((18 (q^14))/(7 π))-((2 (q^15))/(5 π))-((93 (q^16))/(32 π))-((27 (q^17))/(17 π))-((13 (q^18))/(4 π))-((30 (q^19))/(19 π))-((21 (q^20))/(40 π))-((16 (q^21))/(7 π))-((27 (q^22))/(11 π))-((36 (q^23))/(23 π))-((15 (q^24))/(4 π))-((3 (q^25))/(50 π))-((63 (q^26))/(26 π))-((20 (q^27))/(9 π))-((3 (q^28))/π)-((45 (q^29))/(29 π))-((3 (q^30))/(5 π))-((48 (q^31))/(31 π))-((189 (q^32))/(64 π))-((24 (q^33))/(11 π))-((81 (q^34))/(34 π))-((12 (q^35))/(35 π))-((91 (q^36))/(24 π))-((57 (q^37))/(37 π))-((45 (q^38))/(19 π))-((28 (q^39))/(13 π))-((9 (q^40))/(16 π))-((63 (q^41))/(41 π))-((24 (q^42))/(7 π))-((66 (q^43))/(43 π))-((63 (q^44))/(22 π))-((13 (q^45))/(30 π))-((54 (q^46))/(23 π))-((72 (q^47))/(47 π))-((31 (q^48))/(8 π))-((171 (q^49))/(98 π))-((9 (q^50))/(100 π))+y;
lv5ph0y5e2=((140 (Sqrt[6]) (E^(-((996 π y)/5))))/(83 π (q^(249/5))))+((1085 (Sqrt[(3/2)]) (E^(-((976 π y)/5))))/(244 π (q^(244/5))))+((300 (Sqrt[6]) (E^(-((956 π y)/5))))/(239 π (q^(239/5))))+((35 (E^(-((936 π y)/5))))/(2 (Sqrt[6]) π (q^(234/5))))+((575 (Sqrt[(3/2)]) (E^(-((916 π y)/5))))/(229 π (q^(229/5))))+((45 (Sqrt[(3/2)]) (E^(-((896 π y)/5))))/(8 π (q^(224/5))))+((370 (Sqrt[(2/3)]) (E^(-((876 π y)/5))))/(73 π (q^(219/5))))+((405 (Sqrt[(3/2)]) (E^(-((856 π y)/5))))/(107 π (q^(214/5))))+((300 (Sqrt[6]) (E^(-((836 π y)/5))))/(209 π (q^(209/5))))+((105 (Sqrt[(3/2)]) (E^(-((816 π y)/5))))/(17 π (q^(204/5))))+((250 (Sqrt[6]) (E^(-((796 π y)/5))))/(199 π (q^(199/5))))+((735 (Sqrt[(3/2)]) (E^(-((776 π y)/5))))/(194 π (q^(194/5))))+((400 (Sqrt[(2/3)]) (E^(-((756 π y)/5))))/(63 π (q^(189/5))))+((225 (Sqrt[(3/2)]) (E^(-((736 π y)/5))))/(46 π (q^(184/5))))+((225 (Sqrt[6]) (E^(-((716 π y)/5))))/(179 π (q^(179/5))))+((75 (Sqrt[6]) (E^(-((696 π y)/5))))/(29 π (q^(174/5))))+((915 (Sqrt[(3/2)]) (E^(-((676 π y)/5))))/(338 π (q^(169/5))))+((735 (Sqrt[(3/2)]) (E^(-((656 π y)/5))))/(164 π (q^(164/5))))+((90 (Sqrt[6]) (E^(-((636 π y)/5))))/(53 π (q^(159/5))))+((180 (Sqrt[6]) (E^(-((616 π y)/5))))/(77 π (q^(154/5))))+((375 (Sqrt[(3/2)]) (E^(-((596 π y)/5))))/(149 π (q^(149/5))))+((2015 (E^(-((576 π y)/5))))/(96 (Sqrt[6]) π (q^(144/5))))+((175 (Sqrt[6]) (E^(-((556 π y)/5))))/(139 π (q^(139/5))))+((255 (Sqrt[(3/2)]) (E^(-((536 π y)/5))))/(67 π (q^(134/5))))+((220 (Sqrt[(2/3)]) (E^(-((516 π y)/5))))/(43 π (q^(129/5))))+((70 (Sqrt[6]) (E^(-((496 π y)/5))))/(31 π (q^(124/5))))+((180 (Sqrt[6]) (E^(-((476 π y)/5))))/(119 π (q^(119/5))))+((50 (Sqrt[6]) (E^(-((456 π y)/5))))/(19 π (q^(114/5))))+((275 (Sqrt[(3/2)]) (E^(-((436 π y)/5))))/(109 π (q^(109/5))))+((525 (Sqrt[(3/2)]) (E^(-((416 π y)/5))))/(104 π (q^(104/5))))+((65 (Sqrt[(2/3)]) (E^(-((396 π y)/5))))/(11 π (q^(99/5))))+((90 (Sqrt[6]) (E^(-((376 π y)/5))))/(47 π (q^(94/5))))+((225 (Sqrt[(3/2)]) (E^(-((356 π y)/5))))/(89 π (q^(89/5))))+((10 (Sqrt[(2/3)]) (E^(-((336 π y)/5))))/(π (q^(84/5))))+((100 (Sqrt[6]) (E^(-((316 π y)/5))))/(79 π (q^(79/5))))+((285 (Sqrt[(3/2)]) (E^(-((296 π y)/5))))/(74 π (q^(74/5))))+((40 (Sqrt[6]) (E^(-((276 π y)/5))))/(23 π (q^(69/5))))+((635 (Sqrt[(3/2)]) (E^(-((256 π y)/5))))/(128 π (q^(64/5))))+((75 (Sqrt[6]) (E^(-((236 π y)/5))))/(59 π (q^(59/5))))+((25 (Sqrt[(2/3)]) (E^(-((216 π y)/5))))/(3 π (q^(54/5))))+((285 (Sqrt[(3/2)]) (E^(-((196 π y)/5))))/(98 π (q^(49/5))))+((105 (Sqrt[(3/2)]) (E^(-((176 π y)/5))))/(22 π (q^(44/5))))+((70 (Sqrt[(2/3)]) (E^(-((156 π y)/5))))/(13 π (q^(39/5))))+((135 (Sqrt[(3/2)]) (E^(-((136 π y)/5))))/(34 π (q^(34/5))))+((75 (Sqrt[(3/2)]) (E^(-((116 π y)/5))))/(29 π (q^(29/5))))+((25 (Sqrt[(3/2)]) (E^(-((96 π y)/5))))/(4 π (q^(24/5))))+((25 (Sqrt[6]) (E^(-((76 π y)/5))))/(19 π (q^(19/5))))+((15 (Sqrt[6]) (E^(-((56 π y)/5))))/(7 π (q^(14/5))))+((65 (E^(-((36 π y)/5))))/(6 (Sqrt[6]) π (q^(9/5))))+((35 (Sqrt[(3/2)]) (E^(-((16 π y)/5))))/(8 π (q^(4/5))))+((5 (Sqrt[3]) (q^(1/5)))/(2 (Sqrt[2]) π))+((5 (Sqrt[(3/2)]) (q^(6/5)))/π)+((15 (Sqrt[6]) (q^(11/5)))/(11 π))+((155 (Sqrt[(3/2)]) (q^(16/5)))/(32 π))+((40 (Sqrt[(2/3)]) (q^(21/5)))/(7 π))+((105 (Sqrt[(3/2)]) (q^(26/5)))/(26 π))+((40 (Sqrt[6]) (q^(31/5)))/(31 π))+((455 (q^(36/5)))/(24 (Sqrt[6]) π))+((105 (Sqrt[(3/2)]) (q^(41/5)))/(41 π))+((45 (Sqrt[6]) (q^(46/5)))/(23 π))+((30 (Sqrt[6]) (q^(51/5)))/(17 π))+((75 (Sqrt[(3/2)]) (q^(56/5)))/(14 π))+((155 (Sqrt[(3/2)]) (q^(61/5)))/(61 π))+((30 (Sqrt[6]) (q^(66/5)))/(11 π))+((90 (Sqrt[6]) (q^(71/5)))/(71 π))+((175 (Sqrt[(3/2)]) (q^(76/5)))/(38 π))+((605 (q^(81/5)))/(54 (Sqrt[6]) π))+((165 (Sqrt[(3/2)]) (q^(86/5)))/(43 π))+((20 (Sqrt[6]) (q^(91/5)))/(13 π))+((105 (Sqrt[(3/2)]) (q^(96/5)))/(16 π))+((255 (Sqrt[(3/2)]) (q^(101/5)))/(101 π))+((405 (Sqrt[(3/2)]) (q^(106/5)))/(106 π))+((190 (Sqrt[(2/3)]) (q^(111/5)))/(37 π))+((525 (Sqrt[(3/2)]) (q^(116/5)))/(116 π))+((665 (Sqrt[(3/2)]) (q^(121/5)))/(242 π))+((65 (Sqrt[(2/3)]) (q^(126/5)))/(7 π))+((165 (Sqrt[6]) (q^(131/5)))/(131 π))+((675 (Sqrt[(3/2)]) (q^(136/5)))/(136 π))+((80 (Sqrt[6]) (q^(141/5)))/(47 π))+((555 (Sqrt[(3/2)]) (q^(146/5)))/(146 π))+((190 (Sqrt[6]) (q^(151/5)))/(151 π))+((245 (q^(156/5)))/(13 (Sqrt[6]) π))+((240 (Sqrt[6]) (q^(161/5)))/(161 π))+((315 (Sqrt[(3/2)]) (q^(166/5)))/(83 π))+((325 (Sqrt[(2/3)]) (q^(171/5)))/(57 π))+((465 (Sqrt[(3/2)]) (q^(176/5)))/(88 π))+((455 (Sqrt[(3/2)]) (q^(181/5)))/(181 π))+((80 (Sqrt[6]) (q^(186/5)))/(31 π))+((240 (Sqrt[6]) (q^(191/5)))/(191 π))+((285 (Sqrt[(3/2)]) (q^(196/5)))/(56 π))+((340 (Sqrt[(2/3)]) (q^(201/5)))/(67 π))+((195 (Sqrt[6]) (q^(206/5)))/(103 π))+((265 (Sqrt[6]) (q^(211/5)))/(211 π))+((125 (q^(216/5)))/(6 (Sqrt[6]) π))+((315 (Sqrt[6]) (q^(221/5)))/(221 π))+((855 (Sqrt[(3/2)]) (q^(226/5)))/(226 π))+((160 (Sqrt[6]) (q^(231/5)))/(77 π))+((525 (Sqrt[(3/2)]) (q^(236/5)))/(118 π))+((605 (Sqrt[(3/2)]) (q^(241/5)))/(241 π))+((105 (Sqrt[6]) (q^(246/5)))/(41 π));
lv5ph0y5e3=((75 (Sqrt[6]) (E^(-((992 π y)/5))))/(31 π (q^(248/5))))+((455 (Sqrt[(2/3)]) (E^(-((972 π y)/5))))/(81 π (q^(243/5))))+((270 (Sqrt[6]) (E^(-((952 π y)/5))))/(119 π (q^(238/5))))+((585 (Sqrt[(3/2)]) (E^(-((932 π y)/5))))/(233 π (q^(233/5))))+((175 (Sqrt[(2/3)]) (E^(-((912 π y)/5))))/(19 π (q^(228/5))))+((280 (Sqrt[6]) (E^(-((892 π y)/5))))/(223 π (q^(223/5))))+((825 (Sqrt[(3/2)]) (E^(-((872 π y)/5))))/(218 π (q^(218/5))))+((120 (Sqrt[6]) (E^(-((852 π y)/5))))/(71 π (q^(213/5))))+((1085 (Sqrt[(3/2)]) (E^(-((832 π y)/5))))/(208 π (q^(208/5))))+((300 (Sqrt[6]) (E^(-((812 π y)/5))))/(203 π (q^(203/5))))+((65 (Sqrt[(3/2)]) (E^(-((792 π y)/5))))/(11 π (q^(198/5))))+((485 (Sqrt[(3/2)]) (E^(-((772 π y)/5))))/(193 π (q^(193/5))))+((105 (Sqrt[6]) (E^(-((752 π y)/5))))/(47 π (q^(188/5))))+((310 (Sqrt[(2/3)]) (E^(-((732 π y)/5))))/(61 π (q^(183/5))))+((675 (Sqrt[(3/2)]) (E^(-((712 π y)/5))))/(178 π (q^(178/5))))+((435 (Sqrt[(3/2)]) (E^(-((692 π y)/5))))/(173 π (q^(173/5))))+((25 (Sqrt[6]) (E^(-((672 π y)/5))))/(7 π (q^(168/5))))+((205 (Sqrt[6]) (E^(-((652 π y)/5))))/(163 π (q^(163/5))))+((150 (Sqrt[6]) (E^(-((632 π y)/5))))/(79 π (q^(158/5))))+((65 (Sqrt[(3/2)]) (E^(-((612 π y)/5))))/(17 π (q^(153/5))))+((665 (Sqrt[(3/2)]) (E^(-((592 π y)/5))))/(148 π (q^(148/5))))+((210 (Sqrt[6]) (E^(-((572 π y)/5))))/(143 π (q^(143/5))))+((60 (Sqrt[6]) (E^(-((552 π y)/5))))/(23 π (q^(138/5))))+((200 (Sqrt[6]) (E^(-((532 π y)/5))))/(133 π (q^(133/5))))+((1275 (Sqrt[(3/2)]) (E^(-((512 π y)/5))))/(256 π (q^(128/5))))+((70 (Sqrt[6]) (E^(-((492 π y)/5))))/(41 π (q^(123/5))))+((225 (Sqrt[(3/2)]) (E^(-((472 π y)/5))))/(59 π (q^(118/5))))+((285 (Sqrt[(3/2)]) (E^(-((452 π y)/5))))/(113 π (q^(113/5))))+((175 (E^(-((432 π y)/5))))/(9 (Sqrt[6]) π (q^(108/5))))+((130 (Sqrt[6]) (E^(-((412 π y)/5))))/(103 π (q^(103/5))))+((855 (Sqrt[(3/2)]) (E^(-((392 π y)/5))))/(196 π (q^(98/5))))+((160 (Sqrt[(2/3)]) (E^(-((372 π y)/5))))/(31 π (q^(93/5))))+((225 (Sqrt[(3/2)]) (E^(-((352 π y)/5))))/(44 π (q^(88/5))))+((105 (Sqrt[6]) (E^(-((332 π y)/5))))/(83 π (q^(83/5))))+((35 (Sqrt[6]) (E^(-((312 π y)/5))))/(13 π (q^(78/5))))+((185 (Sqrt[(3/2)]) (E^(-((292 π y)/5))))/(73 π (q^(73/5))))+((315 (Sqrt[(3/2)]) (E^(-((272 π y)/5))))/(68 π (q^(68/5))))+((130 (Sqrt[(2/3)]) (E^(-((252 π y)/5))))/(21 π (q^(63/5))))+((225 (Sqrt[(3/2)]) (E^(-((232 π y)/5))))/(58 π (q^(58/5))))+((135 (Sqrt[(3/2)]) (E^(-((212 π y)/5))))/(53 π (q^(53/5))))+((155 (E^(-((192 π y)/5))))/(8 (Sqrt[6]) π (q^(48/5))))+((55 (Sqrt[6]) (E^(-((172 π y)/5))))/(43 π (q^(43/5))))+((75 (Sqrt[(3/2)]) (E^(-((152 π y)/5))))/(19 π (q^(38/5))))+((20 (Sqrt[6]) (E^(-((132 π y)/5))))/(11 π (q^(33/5))))+((5 (Sqrt[(3/2)]) (E^(-((112 π y)/5))))/(π (q^(28/5))))+((30 (Sqrt[6]) (E^(-((92 π y)/5))))/(23 π (q^(23/5))))+((65 (E^(-((72 π y)/5))))/(4 (Sqrt[6]) π (q^(18/5))))+((35 (Sqrt[(3/2)]) (E^(-((52 π y)/5))))/(13 π (q^(13/5))))+((75 (Sqrt[(3/2)]) (E^(-((32 π y)/5))))/(16 π (q^(8/5))))+((5 (Sqrt[(2/3)]) (E^(-((12 π y)/5))))/(π (q^(3/5))))+((15 (Sqrt[3]) (q^(2/5)))/(4 (Sqrt[2]) π))+((10 (Sqrt[6]) (q^(7/5)))/(7 π))+((35 (q^(12/5)))/(2 (Sqrt[6]) π))+((45 (Sqrt[(3/2)]) (q^(17/5)))/(17 π))+((45 (Sqrt[(3/2)]) (q^(22/5)))/(11 π))+((50 (Sqrt[(2/3)]) (q^(27/5)))/(9 π))+((315 (Sqrt[(3/2)]) (q^(32/5)))/(64 π))+((95 (Sqrt[(3/2)]) (q^(37/5)))/(37 π))+((20 (Sqrt[6]) (q^(42/5)))/(7 π))+((60 (Sqrt[6]) (q^(47/5)))/(47 π))+((245 (Sqrt[(3/2)]) (q^(52/5)))/(52 π))+((100 (Sqrt[(2/3)]) (q^(57/5)))/(19 π))+((60 (Sqrt[6]) (q^(62/5)))/(31 π))+((85 (Sqrt[6]) (q^(67/5)))/(67 π))+((325 (q^(72/5)))/(16 (Sqrt[6]) π))+((120 (Sqrt[6]) (q^(77/5)))/(77 π))+((315 (Sqrt[(3/2)]) (q^(82/5)))/(82 π))+((50 (Sqrt[6]) (q^(87/5)))/(29 π))+((105 (Sqrt[(3/2)]) (q^(92/5)))/(23 π))+((245 (Sqrt[(3/2)]) (q^(97/5)))/(97 π))+((45 (Sqrt[6]) (q^(102/5)))/(17 π))+((135 (Sqrt[6]) (q^(107/5)))/(107 π))+((155 (Sqrt[(3/2)]) (q^(112/5)))/(28 π))+((35 (q^(117/5)))/(3 (Sqrt[6]) π))+((465 (Sqrt[(3/2)]) (q^(122/5)))/(122 π))+((160 (Sqrt[6]) (q^(127/5)))/(127 π))+((35 (Sqrt[6]) (q^(132/5)))/(11 π))+((345 (Sqrt[(3/2)]) (q^(137/5)))/(137 π))+((135 (Sqrt[6]) (q^(142/5)))/(71 π))+((95 (Sqrt[6]) (q^(147/5)))/(49 π))+((375 (Sqrt[(3/2)]) (q^(152/5)))/(76 π))+((395 (Sqrt[(3/2)]) (q^(157/5)))/(157 π))+((605 (q^(162/5)))/(36 (Sqrt[6]) π))+((210 (Sqrt[6]) (q^(167/5)))/(167 π))+((385 (Sqrt[(3/2)]) (q^(172/5)))/(86 π))+((100 (Sqrt[6]) (q^(177/5)))/(59 π))+((30 (Sqrt[6]) (q^(182/5)))/(13 π))+((270 (Sqrt[6]) (q^(187/5)))/(187 π))+((635 (q^(192/5)))/(32 (Sqrt[6]) π))+((495 (Sqrt[(3/2)]) (q^(197/5)))/(197 π))+((765 (Sqrt[(3/2)]) (q^(202/5)))/(202 π))+((130 (Sqrt[(2/3)]) (q^(207/5)))/(23 π))+((945 (Sqrt[(3/2)]) (q^(212/5)))/(212 π))+((320 (Sqrt[6]) (q^(217/5)))/(217 π))+((95 (Sqrt[6]) (q^(222/5)))/(37 π))+((285 (Sqrt[6]) (q^(227/5)))/(227 π))+((1125 (Sqrt[(3/2)]) (q^(232/5)))/(232 π))+((400 (Sqrt[(2/3)]) (q^(237/5)))/(79 π))+((1995 (Sqrt[(3/2)]) (q^(242/5)))/(484 π))+((350 (Sqrt[6]) (q^(247/5)))/(247 π));
lv5ph0y5e4=((350 (Sqrt[6]) (E^(-((988 π y)/5))))/(247 π (q^(247/5))))+((1995 (Sqrt[(3/2)]) (E^(-((968 π y)/5))))/(484 π (q^(242/5))))+((400 (Sqrt[(2/3)]) (E^(-((948 π y)/5))))/(79 π (q^(237/5))))+((1125 (Sqrt[(3/2)]) (E^(-((928 π y)/5))))/(232 π (q^(232/5))))+((285 (Sqrt[6]) (E^(-((908 π y)/5))))/(227 π (q^(227/5))))+((95 (Sqrt[6]) (E^(-((888 π y)/5))))/(37 π (q^(222/5))))+((320 (Sqrt[6]) (E^(-((868 π y)/5))))/(217 π (q^(217/5))))+((945 (Sqrt[(3/2)]) (E^(-((848 π y)/5))))/(212 π (q^(212/5))))+((130 (Sqrt[(2/3)]) (E^(-((828 π y)/5))))/(23 π (q^(207/5))))+((765 (Sqrt[(3/2)]) (E^(-((808 π y)/5))))/(202 π (q^(202/5))))+((495 (Sqrt[(3/2)]) (E^(-((788 π y)/5))))/(197 π (q^(197/5))))+((635 (E^(-((768 π y)/5))))/(32 (Sqrt[6]) π (q^(192/5))))+((270 (Sqrt[6]) (E^(-((748 π y)/5))))/(187 π (q^(187/5))))+((30 (Sqrt[6]) (E^(-((728 π y)/5))))/(13 π (q^(182/5))))+((100 (Sqrt[6]) (E^(-((708 π y)/5))))/(59 π (q^(177/5))))+((385 (Sqrt[(3/2)]) (E^(-((688 π y)/5))))/(86 π (q^(172/5))))+((210 (Sqrt[6]) (E^(-((668 π y)/5))))/(167 π (q^(167/5))))+((605 (E^(-((648 π y)/5))))/(36 (Sqrt[6]) π (q^(162/5))))+((395 (Sqrt[(3/2)]) (E^(-((628 π y)/5))))/(157 π (q^(157/5))))+((375 (Sqrt[(3/2)]) (E^(-((608 π y)/5))))/(76 π (q^(152/5))))+((95 (Sqrt[6]) (E^(-((588 π y)/5))))/(49 π (q^(147/5))))+((135 (Sqrt[6]) (E^(-((568 π y)/5))))/(71 π (q^(142/5))))+((345 (Sqrt[(3/2)]) (E^(-((548 π y)/5))))/(137 π (q^(137/5))))+((35 (Sqrt[6]) (E^(-((528 π y)/5))))/(11 π (q^(132/5))))+((160 (Sqrt[6]) (E^(-((508 π y)/5))))/(127 π (q^(127/5))))+((465 (Sqrt[(3/2)]) (E^(-((488 π y)/5))))/(122 π (q^(122/5))))+((35 (E^(-((468 π y)/5))))/(3 (Sqrt[6]) π (q^(117/5))))+((155 (Sqrt[(3/2)]) (E^(-((448 π y)/5))))/(28 π (q^(112/5))))+((135 (Sqrt[6]) (E^(-((428 π y)/5))))/(107 π (q^(107/5))))+((45 (Sqrt[6]) (E^(-((408 π y)/5))))/(17 π (q^(102/5))))+((245 (Sqrt[(3/2)]) (E^(-((388 π y)/5))))/(97 π (q^(97/5))))+((105 (Sqrt[(3/2)]) (E^(-((368 π y)/5))))/(23 π (q^(92/5))))+((50 (Sqrt[6]) (E^(-((348 π y)/5))))/(29 π (q^(87/5))))+((315 (Sqrt[(3/2)]) (E^(-((328 π y)/5))))/(82 π (q^(82/5))))+((120 (Sqrt[6]) (E^(-((308 π y)/5))))/(77 π (q^(77/5))))+((325 (E^(-((288 π y)/5))))/(16 (Sqrt[6]) π (q^(72/5))))+((85 (Sqrt[6]) (E^(-((268 π y)/5))))/(67 π (q^(67/5))))+((60 (Sqrt[6]) (E^(-((248 π y)/5))))/(31 π (q^(62/5))))+((100 (Sqrt[(2/3)]) (E^(-((228 π y)/5))))/(19 π (q^(57/5))))+((245 (Sqrt[(3/2)]) (E^(-((208 π y)/5))))/(52 π (q^(52/5))))+((60 (Sqrt[6]) (E^(-((188 π y)/5))))/(47 π (q^(47/5))))+((20 (Sqrt[6]) (E^(-((168 π y)/5))))/(7 π (q^(42/5))))+((95 (Sqrt[(3/2)]) (E^(-((148 π y)/5))))/(37 π (q^(37/5))))+((315 (Sqrt[(3/2)]) (E^(-((128 π y)/5))))/(64 π (q^(32/5))))+((50 (Sqrt[(2/3)]) (E^(-((108 π y)/5))))/(9 π (q^(27/5))))+((45 (Sqrt[(3/2)]) (E^(-((88 π y)/5))))/(11 π (q^(22/5))))+((45 (Sqrt[(3/2)]) (E^(-((68 π y)/5))))/(17 π (q^(17/5))))+((35 (E^(-((48 π y)/5))))/(2 (Sqrt[6]) π (q^(12/5))))+((10 (Sqrt[6]) (E^(-((28 π y)/5))))/(7 π (q^(7/5))))+((15 (Sqrt[(3/2)]) (E^(-((8 π y)/5))))/(4 π (q^(2/5))))+((5 (Sqrt[(2/3)]) (q^(3/5)))/π)+((75 (Sqrt[(3/2)]) (q^(8/5)))/(16 π))+((35 (Sqrt[(3/2)]) (q^(13/5)))/(13 π))+((65 (q^(18/5)))/(4 (Sqrt[6]) π))+((30 (Sqrt[6]) (q^(23/5)))/(23 π))+((5 (Sqrt[(3/2)]) (q^(28/5)))/π)+((20 (Sqrt[6]) (q^(33/5)))/(11 π))+((75 (Sqrt[(3/2)]) (q^(38/5)))/(19 π))+((55 (Sqrt[6]) (q^(43/5)))/(43 π))+((155 (q^(48/5)))/(8 (Sqrt[6]) π))+((135 (Sqrt[(3/2)]) (q^(53/5)))/(53 π))+((225 (Sqrt[(3/2)]) (q^(58/5)))/(58 π))+((130 (Sqrt[(2/3)]) (q^(63/5)))/(21 π))+((315 (Sqrt[(3/2)]) (q^(68/5)))/(68 π))+((185 (Sqrt[(3/2)]) (q^(73/5)))/(73 π))+((35 (Sqrt[6]) (q^(78/5)))/(13 π))+((105 (Sqrt[6]) (q^(83/5)))/(83 π))+((225 (Sqrt[(3/2)]) (q^(88/5)))/(44 π))+((160 (Sqrt[(2/3)]) (q^(93/5)))/(31 π))+((855 (Sqrt[(3/2)]) (q^(98/5)))/(196 π))+((130 (Sqrt[6]) (q^(103/5)))/(103 π))+((175 (q^(108/5)))/(9 (Sqrt[6]) π))+((285 (Sqrt[(3/2)]) (q^(113/5)))/(113 π))+((225 (Sqrt[(3/2)]) (q^(118/5)))/(59 π))+((70 (Sqrt[6]) (q^(123/5)))/(41 π))+((1275 (Sqrt[(3/2)]) (q^(128/5)))/(256 π))+((200 (Sqrt[6]) (q^(133/5)))/(133 π))+((60 (Sqrt[6]) (q^(138/5)))/(23 π))+((210 (Sqrt[6]) (q^(143/5)))/(143 π))+((665 (Sqrt[(3/2)]) (q^(148/5)))/(148 π))+((65 (Sqrt[(3/2)]) (q^(153/5)))/(17 π))+((150 (Sqrt[6]) (q^(158/5)))/(79 π))+((205 (Sqrt[6]) (q^(163/5)))/(163 π))+((25 (Sqrt[6]) (q^(168/5)))/(7 π))+((435 (Sqrt[(3/2)]) (q^(173/5)))/(173 π))+((675 (Sqrt[(3/2)]) (q^(178/5)))/(178 π))+((310 (Sqrt[(2/3)]) (q^(183/5)))/(61 π))+((105 (Sqrt[6]) (q^(188/5)))/(47 π))+((485 (Sqrt[(3/2)]) (q^(193/5)))/(193 π))+((65 (Sqrt[(3/2)]) (q^(198/5)))/(11 π))+((300 (Sqrt[6]) (q^(203/5)))/(203 π))+((1085 (Sqrt[(3/2)]) (q^(208/5)))/(208 π))+((120 (Sqrt[6]) (q^(213/5)))/(71 π))+((825 (Sqrt[(3/2)]) (q^(218/5)))/(218 π))+((280 (Sqrt[6]) (q^(223/5)))/(223 π))+((175 (Sqrt[(2/3)]) (q^(228/5)))/(19 π))+((585 (Sqrt[(3/2)]) (q^(233/5)))/(233 π))+((270 (Sqrt[6]) (q^(238/5)))/(119 π))+((455 (Sqrt[(2/3)]) (q^(243/5)))/(81 π))+((75 (Sqrt[6]) (q^(248/5)))/(31 π));
lv5ph0y5e5=((105 (Sqrt[6]) (E^(-((984 π y)/5))))/(41 π (q^(246/5))))+((605 (Sqrt[(3/2)]) (E^(-((964 π y)/5))))/(241 π (q^(241/5))))+((525 (Sqrt[(3/2)]) (E^(-((944 π y)/5))))/(118 π (q^(236/5))))+((160 (Sqrt[6]) (E^(-((924 π y)/5))))/(77 π (q^(231/5))))+((855 (Sqrt[(3/2)]) (E^(-((904 π y)/5))))/(226 π (q^(226/5))))+((315 (Sqrt[6]) (E^(-((884 π y)/5))))/(221 π (q^(221/5))))+((125 (E^(-((864 π y)/5))))/(6 (Sqrt[6]) π (q^(216/5))))+((265 (Sqrt[6]) (E^(-((844 π y)/5))))/(211 π (q^(211/5))))+((195 (Sqrt[6]) (E^(-((824 π y)/5))))/(103 π (q^(206/5))))+((340 (Sqrt[(2/3)]) (E^(-((804 π y)/5))))/(67 π (q^(201/5))))+((285 (Sqrt[(3/2)]) (E^(-((784 π y)/5))))/(56 π (q^(196/5))))+((240 (Sqrt[6]) (E^(-((764 π y)/5))))/(191 π (q^(191/5))))+((80 (Sqrt[6]) (E^(-((744 π y)/5))))/(31 π (q^(186/5))))+((455 (Sqrt[(3/2)]) (E^(-((724 π y)/5))))/(181 π (q^(181/5))))+((465 (Sqrt[(3/2)]) (E^(-((704 π y)/5))))/(88 π (q^(176/5))))+((325 (Sqrt[(2/3)]) (E^(-((684 π y)/5))))/(57 π (q^(171/5))))+((315 (Sqrt[(3/2)]) (E^(-((664 π y)/5))))/(83 π (q^(166/5))))+((240 (Sqrt[6]) (E^(-((644 π y)/5))))/(161 π (q^(161/5))))+((245 (E^(-((624 π y)/5))))/(13 (Sqrt[6]) π (q^(156/5))))+((190 (Sqrt[6]) (E^(-((604 π y)/5))))/(151 π (q^(151/5))))+((555 (Sqrt[(3/2)]) (E^(-((584 π y)/5))))/(146 π (q^(146/5))))+((80 (Sqrt[6]) (E^(-((564 π y)/5))))/(47 π (q^(141/5))))+((675 (Sqrt[(3/2)]) (E^(-((544 π y)/5))))/(136 π (q^(136/5))))+((165 (Sqrt[6]) (E^(-((524 π y)/5))))/(131 π (q^(131/5))))+((65 (Sqrt[(2/3)]) (E^(-((504 π y)/5))))/(7 π (q^(126/5))))+((665 (Sqrt[(3/2)]) (E^(-((484 π y)/5))))/(242 π (q^(121/5))))+((525 (Sqrt[(3/2)]) (E^(-((464 π y)/5))))/(116 π (q^(116/5))))+((190 (Sqrt[(2/3)]) (E^(-((444 π y)/5))))/(37 π (q^(111/5))))+((405 (Sqrt[(3/2)]) (E^(-((424 π y)/5))))/(106 π (q^(106/5))))+((255 (Sqrt[(3/2)]) (E^(-((404 π y)/5))))/(101 π (q^(101/5))))+((105 (Sqrt[(3/2)]) (E^(-((384 π y)/5))))/(16 π (q^(96/5))))+((20 (Sqrt[6]) (E^(-((364 π y)/5))))/(13 π (q^(91/5))))+((165 (Sqrt[(3/2)]) (E^(-((344 π y)/5))))/(43 π (q^(86/5))))+((605 (E^(-((324 π y)/5))))/(54 (Sqrt[6]) π (q^(81/5))))+((175 (Sqrt[(3/2)]) (E^(-((304 π y)/5))))/(38 π (q^(76/5))))+((90 (Sqrt[6]) (E^(-((284 π y)/5))))/(71 π (q^(71/5))))+((30 (Sqrt[6]) (E^(-((264 π y)/5))))/(11 π (q^(66/5))))+((155 (Sqrt[(3/2)]) (E^(-((244 π y)/5))))/(61 π (q^(61/5))))+((75 (Sqrt[(3/2)]) (E^(-((224 π y)/5))))/(14 π (q^(56/5))))+((30 (Sqrt[6]) (E^(-((204 π y)/5))))/(17 π (q^(51/5))))+((45 (Sqrt[6]) (E^(-((184 π y)/5))))/(23 π (q^(46/5))))+((105 (Sqrt[(3/2)]) (E^(-((164 π y)/5))))/(41 π (q^(41/5))))+((455 (E^(-((144 π y)/5))))/(24 (Sqrt[6]) π (q^(36/5))))+((40 (Sqrt[6]) (E^(-((124 π y)/5))))/(31 π (q^(31/5))))+((105 (Sqrt[(3/2)]) (E^(-((104 π y)/5))))/(26 π (q^(26/5))))+((40 (Sqrt[(2/3)]) (E^(-((84 π y)/5))))/(7 π (q^(21/5))))+((155 (Sqrt[(3/2)]) (E^(-((64 π y)/5))))/(32 π (q^(16/5))))+((15 (Sqrt[6]) (E^(-((44 π y)/5))))/(11 π (q^(11/5))))+((5 (Sqrt[(3/2)]) (E^(-((24 π y)/5))))/(π (q^(6/5))))+((5 (Sqrt[(3/2)]) (E^(-((4 π y)/5))))/(2 π (q^(1/5))))+((35 (Sqrt[(3/2)]) (q^(4/5)))/(8 π))+((65 (q^(9/5)))/(6 (Sqrt[6]) π))+((15 (Sqrt[6]) (q^(14/5)))/(7 π))+((25 (Sqrt[6]) (q^(19/5)))/(19 π))+((25 (Sqrt[(3/2)]) (q^(24/5)))/(4 π))+((75 (Sqrt[(3/2)]) (q^(29/5)))/(29 π))+((135 (Sqrt[(3/2)]) (q^(34/5)))/(34 π))+((70 (Sqrt[(2/3)]) (q^(39/5)))/(13 π))+((105 (Sqrt[(3/2)]) (q^(44/5)))/(22 π))+((285 (Sqrt[(3/2)]) (q^(49/5)))/(98 π))+((25 (Sqrt[(2/3)]) (q^(54/5)))/(3 π))+((75 (Sqrt[6]) (q^(59/5)))/(59 π))+((635 (Sqrt[(3/2)]) (q^(64/5)))/(128 π))+((40 (Sqrt[6]) (q^(69/5)))/(23 π))+((285 (Sqrt[(3/2)]) (q^(74/5)))/(74 π))+((100 (Sqrt[6]) (q^(79/5)))/(79 π))+((10 (Sqrt[(2/3)]) (q^(84/5)))/π)+((225 (Sqrt[(3/2)]) (q^(89/5)))/(89 π))+((90 (Sqrt[6]) (q^(94/5)))/(47 π))+((65 (Sqrt[(2/3)]) (q^(99/5)))/(11 π))+((525 (Sqrt[(3/2)]) (q^(104/5)))/(104 π))+((275 (Sqrt[(3/2)]) (q^(109/5)))/(109 π))+((50 (Sqrt[6]) (q^(114/5)))/(19 π))+((180 (Sqrt[6]) (q^(119/5)))/(119 π))+((70 (Sqrt[6]) (q^(124/5)))/(31 π))+((220 (Sqrt[(2/3)]) (q^(129/5)))/(43 π))+((255 (Sqrt[(3/2)]) (q^(134/5)))/(67 π))+((175 (Sqrt[6]) (q^(139/5)))/(139 π))+((2015 (q^(144/5)))/(96 (Sqrt[6]) π))+((375 (Sqrt[(3/2)]) (q^(149/5)))/(149 π))+((180 (Sqrt[6]) (q^(154/5)))/(77 π))+((90 (Sqrt[6]) (q^(159/5)))/(53 π))+((735 (Sqrt[(3/2)]) (q^(164/5)))/(164 π))+((915 (Sqrt[(3/2)]) (q^(169/5)))/(338 π))+((75 (Sqrt[6]) (q^(174/5)))/(29 π))+((225 (Sqrt[6]) (q^(179/5)))/(179 π))+((225 (Sqrt[(3/2)]) (q^(184/5)))/(46 π))+((400 (Sqrt[(2/3)]) (q^(189/5)))/(63 π))+((735 (Sqrt[(3/2)]) (q^(194/5)))/(194 π))+((250 (Sqrt[6]) (q^(199/5)))/(199 π))+((105 (Sqrt[(3/2)]) (q^(204/5)))/(17 π))+((300 (Sqrt[6]) (q^(209/5)))/(209 π))+((405 (Sqrt[(3/2)]) (q^(214/5)))/(107 π))+((370 (Sqrt[(2/3)]) (q^(219/5)))/(73 π))+((45 (Sqrt[(3/2)]) (q^(224/5)))/(8 π))+((575 (Sqrt[(3/2)]) (q^(229/5)))/(229 π))+((35 (q^(234/5)))/(2 (Sqrt[6]) π))+((300 (Sqrt[6]) (q^(239/5)))/(239 π))+((1085 (Sqrt[(3/2)]) (q^(244/5)))/(244 π))+((140 (Sqrt[6]) (q^(249/5)))/(83 π));

weight -2

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-2)))=lv5ph2y1

lv5ph2y1=-((15 q)/(2 (π^3)))-((135 (q^2))/(16 (π^3)))-((70 (q^3))/(9 (π^3)))-((1095 (q^4))/(128 (π^3)))-((189 (q^5))/(25 (π^3)))-((35 (q^6))/(4 (π^3)))-((2580 (q^7))/(343 (π^3)))-((8775 (q^8))/(1024 (π^3)))-((3785 (q^9))/(486 (π^3)))-((1701 (q^10))/(200 (π^3)))-((9990 (q^11))/(1331 (π^3)))-((2555 (q^12))/(288 (π^3)))-((16485 (q^13))/(2197 (π^3)))-((5805 (q^14))/(686 (π^3)))-((196 (q^15))/(25 (π^3)))-((70215 (q^16))/(8192 (π^3)))-((36855 (q^17))/(4913 (π^3)))-((3785 (q^18))/(432 (π^3)))-((51450 (q^19))/(6859 (π^3)))-((13797 (q^20))/(1600 (π^3)))-((3440 (q^21))/(441 (π^3)))-((44955 (q^22))/(5324 (π^3)))-((91260 (q^23))/(12167 (π^3)))-((2275 (q^24))/(256 (π^3)))-((47253 (q^25))/(6250 (π^3)))-((148365 (q^26))/(17576 (π^3)))-((51100 (q^27))/(6561 (π^3)))-((47085 (q^28))/(5488 (π^3)))-((182925 (q^29))/(24389 (π^3)))-((441 (q^30))/(50 (π^3)))-((223440 (q^31))/(29791 (π^3)))-((561735 (q^32))/(65536 (π^3)))-((10360 (q^33))/(1331 (π^3)))-((331695 (q^34))/(39304 (π^3)))-((9288 (q^35))/(1225 (π^3)))-((276305 (q^36))/(31104 (π^3)))-((379905 (q^37))/(50653 (π^3)))-((231525 (q^38))/(27436 (π^3)))-((153860 (q^39))/(19773 (π^3)))-((22113 (q^40))/(2560 (π^3)))-((516915 (q^41))/(68921 (π^3)))-((430 (q^42))/(49 (π^3)))-((596310 (q^43))/(79507 (π^3)))-((364635 (q^44))/(42592 (π^3)))-((5299 (q^45))/(675 (π^3)))-((205335 (q^46))/(24334 (π^3)))-((778680 (q^47))/(103823 (π^3)))-((163835 (q^48))/(18432 (π^3)))-((1769895 (q^49))/(235298 (π^3)))-((425277 (q^50))/(50000 (π^3)))+((y^3)/3)-((15 Gamma[3,4 π y])/(4 (π^3) q))-((135 Gamma[3,8 π y])/(32 (π^3) (q^2)))-((35 Gamma[3,12 π y])/(9 (π^3) (q^3)))-((1095 Gamma[3,16 π y])/(256 (π^3) (q^4)))-((189 Gamma[3,20 π y])/(50 (π^3) (q^5)))-((35 Gamma[3,24 π y])/(8 (π^3) (q^6)))-((1290 Gamma[3,28 π y])/(343 (π^3) (q^7)))-((8775 Gamma[3,32 π y])/(2048 (π^3) (q^8)))-((3785 Gamma[3,36 π y])/(972 (π^3) (q^9)))-((1701 Gamma[3,40 π y])/(400 (π^3) (q^10)))-((4995 Gamma[3,44 π y])/(1331 (π^3) (q^11)))-((2555 Gamma[3,48 π y])/(576 (π^3) (q^12)))-((16485 Gamma[3,52 π y])/(4394 (π^3) (q^13)))-((5805 Gamma[3,56 π y])/(1372 (π^3) (q^14)))-((98 Gamma[3,60 π y])/(25 (π^3) (q^15)))-((70215 Gamma[3,64 π y])/(16384 (π^3) (q^16)))-((36855 Gamma[3,68 π y])/(9826 (π^3) (q^17)))-((3785 Gamma[3,72 π y])/(864 (π^3) (q^18)))-((25725 Gamma[3,76 π y])/(6859 (π^3) (q^19)))-((13797 Gamma[3,80 π y])/(3200 (π^3) (q^20)))-((1720 Gamma[3,84 π y])/(441 (π^3) (q^21)))-((44955 Gamma[3,88 π y])/(10648 (π^3) (q^22)))-((45630 Gamma[3,92 π y])/(12167 (π^3) (q^23)))-((2275 Gamma[3,96 π y])/(512 (π^3) (q^24)))-((47253 Gamma[3,100 π y])/(12500 (π^3) (q^25)))-((148365 Gamma[3,104 π y])/(35152 (π^3) (q^26)))-((25550 Gamma[3,108 π y])/(6561 (π^3) (q^27)))-((47085 Gamma[3,112 π y])/(10976 (π^3) (q^28)))-((182925 Gamma[3,116 π y])/(48778 (π^3) (q^29)))-((441 Gamma[3,120 π y])/(100 (π^3) (q^30)))-((111720 Gamma[3,124 π y])/(29791 (π^3) (q^31)))-((561735 Gamma[3,128 π y])/(131072 (π^3) (q^32)))-((5180 Gamma[3,132 π y])/(1331 (π^3) (q^33)))-((331695 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((4644 Gamma[3,140 π y])/(1225 (π^3) (q^35)))-((276305 Gamma[3,144 π y])/(62208 (π^3) (q^36)))-((379905 Gamma[3,148 π y])/(101306 (π^3) (q^37)))-((231525 Gamma[3,152 π y])/(54872 (π^3) (q^38)))-((76930 Gamma[3,156 π y])/(19773 (π^3) (q^39)))-((22113 Gamma[3,160 π y])/(5120 (π^3) (q^40)))-((516915 Gamma[3,164 π y])/(137842 (π^3) (q^41)))-((215 Gamma[3,168 π y])/(49 (π^3) (q^42)))-((298155 Gamma[3,172 π y])/(79507 (π^3) (q^43)))-((364635 Gamma[3,176 π y])/(85184 (π^3) (q^44)))-((5299 Gamma[3,180 π y])/(1350 (π^3) (q^45)))-((205335 Gamma[3,184 π y])/(48668 (π^3) (q^46)))-((389340 Gamma[3,188 π y])/(103823 (π^3) (q^47)))-((163835 Gamma[3,192 π y])/(36864 (π^3) (q^48)))-((1769895 Gamma[3,196 π y])/(470596 (π^3) (q^49)))-((425277 Gamma[3,200 π y])/(100000 (π^3) (q^50)))-((15 Zeta[3])/(2 (π^3)));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-2)))=(lv5ph2y3e1,lv5ph2y3e2,lv5ph2y3e3)

lv5ph2y3e1=-0.10769300935905161`-((63 q)/(16 (π^3)))-((217 (q^2))/(64 (π^3)))-((403 (q^3))/(108 (π^3)))-((3591 (q^4))/(1024 (π^3)))-((7813 (q^5))/(2000 (π^3)))-((637 (q^6))/(192 (π^3)))-((5301 (q^7))/(1372 (π^3)))-((14105 (q^8))/(4096 (π^3)))-((4921 (q^9))/(1296 (π^3)))-((13671 (q^10))/(4000 (π^3)))-((20979 (q^11))/(5324 (π^3)))-((7657 (q^12))/(2304 (π^3)))-((17019 (q^13))/(4394 (π^3)))-((1539 (q^14))/(448 (π^3)))-((2821 (q^15))/(750 (π^3)))-((229383 (q^16))/(65536 (π^3)))-((19034 (q^17))/(4913 (π^3)))-((152551 (q^18))/(46656 (π^3)))-((108045 (q^19))/(27436 (π^3)))-((445341 (q^20))/(128000 (π^3)))-((741 (q^21))/(196 (π^3)))-((72261 (q^22))/(21296 (π^3)))-((188573 (q^23))/(48668 (π^3)))-((41405 (q^24))/(12288 (π^3)))-((976563 (q^25))/(250000 (π^3)))-((242109 (q^26))/(70304 (π^3)))-((147095 (q^27))/(39366 (π^3)))-((302157 (q^28))/(87808 (π^3)))-((768285 (q^29))/(195112 (π^3)))-((710983 (q^30))/(216000 (π^3)))-((117306 (q^31))/(29791 (π^3)))-((902937 (q^32))/(262144 (π^3)))-((14911 (q^33))/(3993 (π^3)))-((135387 (q^34))/(39304 (π^3)))-((47709 (q^35))/(12250 (π^3)))-((93499 (q^36))/(27648 (π^3)))-((392553 (q^37))/(101306 (π^3)))-((372155 (q^38))/(109744 (π^3)))-((1281 (q^39))/(338 (π^3)))-((177723 (q^40))/(51200 (π^3)))-((2171043 (q^41))/(551368 (π^3)))-((7657 (q^42))/(2352 (π^3)))-((1232343 (q^43))/(318028 (π^3)))-((1195803 (q^44))/(340736 (π^3)))-((5492539 (q^45))/(1458000 (π^3)))-((2682603 (q^46))/(778688 (π^3)))-((1609241 (q^47))/(415292 (π^3)))-((1467323 (q^48))/(442368 (π^3)))-((1055763 (q^49))/(268912 (π^3)))-((3417967 (q^50))/(1000000 (π^3)))+((y^3)/3)-((63 Gamma[3,4 π y])/(32 (π^3) q))-((217 Gamma[3,8 π y])/(128 (π^3) (q^2)))-((403 Gamma[3,12 π y])/(216 (π^3) (q^3)))-((3591 Gamma[3,16 π y])/(2048 (π^3) (q^4)))-((7813 Gamma[3,20 π y])/(4000 (π^3) (q^5)))-((637 Gamma[3,24 π y])/(384 (π^3) (q^6)))-((5301 Gamma[3,28 π y])/(2744 (π^3) (q^7)))-((14105 Gamma[3,32 π y])/(8192 (π^3) (q^8)))-((4921 Gamma[3,36 π y])/(2592 (π^3) (q^9)))-((13671 Gamma[3,40 π y])/(8000 (π^3) (q^10)))-((20979 Gamma[3,44 π y])/(10648 (π^3) (q^11)))-((7657 Gamma[3,48 π y])/(4608 (π^3) (q^12)))-((17019 Gamma[3,52 π y])/(8788 (π^3) (q^13)))-((1539 Gamma[3,56 π y])/(896 (π^3) (q^14)))-((2821 Gamma[3,60 π y])/(1500 (π^3) (q^15)))-((229383 Gamma[3,64 π y])/(131072 (π^3) (q^16)))-((9517 Gamma[3,68 π y])/(4913 (π^3) (q^17)))-((152551 Gamma[3,72 π y])/(93312 (π^3) (q^18)))-((108045 Gamma[3,76 π y])/(54872 (π^3) (q^19)))-((445341 Gamma[3,80 π y])/(256000 (π^3) (q^20)))-((741 Gamma[3,84 π y])/(392 (π^3) (q^21)))-((72261 Gamma[3,88 π y])/(42592 (π^3) (q^22)))-((188573 Gamma[3,92 π y])/(97336 (π^3) (q^23)))-((41405 Gamma[3,96 π y])/(24576 (π^3) (q^24)))-((976563 Gamma[3,100 π y])/(500000 (π^3) (q^25)))-((242109 Gamma[3,104 π y])/(140608 (π^3) (q^26)))-((147095 Gamma[3,108 π y])/(78732 (π^3) (q^27)))-((302157 Gamma[3,112 π y])/(175616 (π^3) (q^28)))-((768285 Gamma[3,116 π y])/(390224 (π^3) (q^29)))-((710983 Gamma[3,120 π y])/(432000 (π^3) (q^30)))-((58653 Gamma[3,124 π y])/(29791 (π^3) (q^31)))-((902937 Gamma[3,128 π y])/(524288 (π^3) (q^32)))-((14911 Gamma[3,132 π y])/(7986 (π^3) (q^33)))-((135387 Gamma[3,136 π y])/(78608 (π^3) (q^34)))-((47709 Gamma[3,140 π y])/(24500 (π^3) (q^35)))-((93499 Gamma[3,144 π y])/(55296 (π^3) (q^36)))-((392553 Gamma[3,148 π y])/(202612 (π^3) (q^37)))-((372155 Gamma[3,152 π y])/(219488 (π^3) (q^38)))-((1281 Gamma[3,156 π y])/(676 (π^3) (q^39)))-((177723 Gamma[3,160 π y])/(102400 (π^3) (q^40)))-((2171043 Gamma[3,164 π y])/(1102736 (π^3) (q^41)))-((7657 Gamma[3,168 π y])/(4704 (π^3) (q^42)))-((1232343 Gamma[3,172 π y])/(636056 (π^3) (q^43)))-((1195803 Gamma[3,176 π y])/(681472 (π^3) (q^44)))-((5492539 Gamma[3,180 π y])/(2916000 (π^3) (q^45)))-((2682603 Gamma[3,184 π y])/(1557376 (π^3) (q^46)))-((1609241 Gamma[3,188 π y])/(830584 (π^3) (q^47)))-((1467323 Gamma[3,192 π y])/(884736 (π^3) (q^48)))-((1055763 Gamma[3,196 π y])/(537824 (π^3) (q^49)))-((3417967 Gamma[3,200 π y])/(2000000 (π^3) (q^50)));
lv5ph2y3e2=((125 (q^(1/5)))/(16 (Sqrt[2]) (π^3)))+((11375 (q^(6/5)))/(1728 (Sqrt[2]) (π^3)))+((41625 (q^(11/5)))/(5324 (Sqrt[2]) (π^3)))+((455125 (q^(16/5)))/(65536 (Sqrt[2]) (π^3)))+((30875 (q^(21/5)))/(4116 (Sqrt[2]) (π^3)))+((480375 (q^(26/5)))/(70304 (Sqrt[2]) (π^3)))+((116375 (Sqrt[2]) (q^(31/5)))/(29791 (π^3)))+((1669625 (q^(36/5)))/(248832 (Sqrt[2]) (π^3)))+((4307625 (q^(41/5)))/(551368 (Sqrt[2]) (π^3)))+((5322625 (q^(46/5)))/(778688 (Sqrt[2]) (π^3)))+((498875 (Sqrt[2]) (q^(51/5)))/(132651 (π^3)))+((1389375 (q^(56/5)))/(200704 (Sqrt[2]) (π^3)))+((14186375 (q^(61/5)))/(1815848 (Sqrt[2]) (π^3)))+((420875 (q^(66/5)))/(63888 (Sqrt[2]) (π^3)))+((5592375 (q^(71/5)))/(715822 (Sqrt[2]) (π^3)))+((643125 (q^(76/5)))/(92416 (Sqrt[2]) (π^3)))+((64057625 (q^(81/5)))/(8503056 (Sqrt[2]) (π^3)))+((34783875 (q^(86/5)))/(5088448 (Sqrt[2]) (π^3)))+((11734875 (q^(91/5)))/(1507142 (Sqrt[2]) (π^3)))+((15777125 (q^(96/5)))/(2359296 (Sqrt[2]) (π^3)))+((64393875 (q^(101/5)))/(8242408 (Sqrt[2]) (π^3)))+((32566625 (q^(106/5)))/(4764064 (Sqrt[2]) (π^3)))+((762125 (q^(111/5)))/(101306 (Sqrt[2]) (π^3)))+((86889375 (q^(116/5)))/(12487168 (Sqrt[2]) (π^3)))+((221611625 (q^(121/5)))/(28344976 (Sqrt[2]) (π^3)))+((1669625 (q^(126/5)))/(254016 (Sqrt[2]) (π^3)))+((70252875 (q^(131/5)))/(8992364 (Sqrt[2]) (π^3)))+((17460625 (q^(136/5)))/(2515456 (Sqrt[2]) (π^3)))+((84355375 (q^(141/5)))/(11212884 (Sqrt[2]) (π^3)))+((42548625 (q^(146/5)))/(6224272 (Sqrt[2]) (π^3)))+((53796125 (q^(151/5)))/(6885902 (Sqrt[2]) (π^3)))+((144875 (q^(156/5)))/(21632 (Sqrt[2]) (π^3)))+((18574875 (q^(161/5)))/(2384732 (Sqrt[2]) (π^3)))+((250156375 (q^(166/5)))/(36594368 (Sqrt[2]) (π^3)))+((7931875 (q^(171/5)))/(1052676 (Sqrt[2]) (π^3)))+((13777875 (q^(176/5)))/(1982464 (Sqrt[2]) (π^3)))+((370608875 (q^(181/5)))/(47437928 (Sqrt[2]) (π^3)))+((10590125 (q^(186/5)))/(1608714 (Sqrt[2]) (π^3)))+((27218250 (Sqrt[2]) (q^(191/5)))/(6967871 (π^3)))+((835812375 (q^(196/5)))/(120472576 (Sqrt[2]) (π^3)))+((27152125 (q^(201/5)))/(3609156 (Sqrt[2]) (π^3)))+((478067625 (q^(206/5)))/(69934528 (Sqrt[2]) (π^3)))+((293560375 (q^(211/5)))/(37575724 (Sqrt[2]) (π^3)))+((269871875 (q^(216/5)))/(40310784 (Sqrt[2]) (π^3)))+((42135750 (Sqrt[2]) (q^(221/5)))/(10793861 (π^3)))+((78908375 (q^(226/5)))/(11543176 (Sqrt[2]) (π^3)))+((3427125 (q^(231/5)))/(456533 (Sqrt[2]) (π^3)))+((365833125 (q^(236/5)))/(52577024 (Sqrt[2]) (π^3)))+((874845125 (q^(241/5)))/(111980168 (Sqrt[2]) (π^3)))+((43554875 (q^(246/5)))/(6616416 (Sqrt[2]) (π^3)))+((7125 Gamma[3,((16 π y)/5)])/(2048 (Sqrt[2]) (π^3) (q^(4/5))))+((87875 Gamma[3,((36 π y)/5)])/(23328 (Sqrt[2]) (π^3) (q^(9/5))))+((21375 Gamma[3,((56 π y)/5)])/(6272 (Sqrt[2]) (π^3) (q^(14/5))))+((214375 Gamma[3,((76 π y)/5)])/(54872 (Sqrt[2]) (π^3) (q^(19/5))))+((739375 Gamma[3,((96 π y)/5)])/(221184 (Sqrt[2]) (π^3) (q^(24/5))))+((1524375 Gamma[3,((116 π y)/5)])/(390224 (Sqrt[2]) (π^3) (q^(29/5))))+((268625 Gamma[3,((136 π y)/5)])/(78608 (Sqrt[2]) (π^3) (q^(34/5))))+((7625 Gamma[3,((156 π y)/5)])/(2028 (Sqrt[2]) (π^3) (q^(39/5))))+((2372625 Gamma[3,((176 π y)/5)])/(681472 (Sqrt[2]) (π^3) (q^(44/5))))+((14663375 Gamma[3,((196 π y)/5)])/(3764768 (Sqrt[2]) (π^3) (q^(49/5))))+((4151875 Gamma[3,((216 π y)/5)])/(1259712 (Sqrt[2]) (π^3) (q^(54/5))))+((6418125 Gamma[3,((236 π y)/5)])/(1643032 (Sqrt[2]) (π^3) (q^(59/5))))+((29127125 Gamma[3,((256 π y)/5)])/(8388608 (Sqrt[2]) (π^3) (q^(64/5))))+((9884875 Gamma[3,((276 π y)/5)])/(2628072 (Sqrt[2]) (π^3) (q^(69/5))))+((11080125 Gamma[3,((296 π y)/5)])/(3241792 (Sqrt[2]) (π^3) (q^(74/5))))+((3851875 Gamma[3,((316 π y)/5)])/(986078 (Sqrt[2]) (π^3) (q^(79/5))))+((586625 Gamma[3,((336 π y)/5)])/(175616 (Sqrt[2]) (π^3) (q^(84/5))))+((44060625 Gamma[3,((356 π y)/5)])/(11279504 (Sqrt[2]) (π^3) (q^(89/5))))+((45422125 Gamma[3,((376 π y)/5)])/(13289344 (Sqrt[2]) (π^3) (q^(94/5))))+((3251375 Gamma[3,((396 π y)/5)])/(862488 (Sqrt[2]) (π^3) (q^(99/5))))+((2401875 Gamma[3,((416 π y)/5)])/(692224 (Sqrt[2]) (π^3) (q^(104/5))))+((80939375 Gamma[3,((436 π y)/5)])/(20720464 (Sqrt[2]) (π^3) (q^(109/5))))+((19508125 Gamma[3,((456 π y)/5)])/(5926176 (Sqrt[2]) (π^3) (q^(114/5))))+((6562125 Gamma[3,((476 π y)/5)])/(1685159 (Sqrt[2]) (π^3) (q^(119/5))))+((6633375 Gamma[3,((496 π y)/5)])/(1906624 (Sqrt[2]) (π^3) (q^(124/5))))+((7177625 Gamma[3,((516 π y)/5)])/(1908168 (Sqrt[2]) (π^3) (q^(129/5))))+((131583375 Gamma[3,((536 π y)/5)])/(38497664 (Sqrt[2]) (π^3) (q^(134/5))))+((83925625 Gamma[3,((556 π y)/5)])/(21484952 (Sqrt[2]) (π^3) (q^(139/5))))+((319952875 Gamma[3,((576 π y)/5)])/(95551488 (Sqrt[2]) (π^3) (q^(144/5))))+((206746875 Gamma[3,((596 π y)/5)])/(52927184 (Sqrt[2]) (π^3) (q^(149/5))))+((7117875 Gamma[3,((616 π y)/5)])/(2087008 (Sqrt[2]) (π^3) (q^(154/5))))+((60480875 Gamma[3,((636 π y)/5)])/(16078716 (Sqrt[2]) (π^3) (q^(159/5))))+((245534625 Gamma[3,((656 π y)/5)])/(70575104 (Sqrt[2]) (π^3) (q^(164/5))))+((603076625 Gamma[3,((676 π y)/5)])/(154457888 (Sqrt[2]) (π^3) (q^(169/5))))+((15413125 Gamma[3,((696 π y)/5)])/(4682688 (Sqrt[2]) (π^3) (q^(174/5))))+((179229375 Gamma[3,((716 π y)/5)])/(45882712 (Sqrt[2]) (π^3) (q^(179/5))))+((345970625 Gamma[3,((736 π y)/5)])/(99672064 (Sqrt[2]) (π^3) (q^(184/5))))+((11269375 Gamma[3,((756 π y)/5)])/(3000564 (Sqrt[2]) (π^3) (q^(189/5))))+((24955875 Gamma[3,((776 π y)/5)])/(7301384 (Sqrt[2]) (π^3) (q^(194/5))))+((123134375 Gamma[3,((796 π y)/5)])/(31522396 (Sqrt[2]) (π^3) (q^(199/5))))+((9478625 Gamma[3,((816 π y)/5)])/(2829888 (Sqrt[2]) (π^3) (q^(204/5))))+((71386875 Gamma[3,((836 π y)/5)])/(18258658 (Sqrt[2]) (π^3) (q^(209/5))))+((535955875 Gamma[3,((856 π y)/5)])/(156805504 (Sqrt[2]) (π^3) (q^(214/5))))+((2926625 Gamma[3,((876 π y)/5)])/(778034 (Sqrt[2]) (π^3) (q^(219/5))))+((88941375 Gamma[3,((896 π y)/5)])/(25690112 (Sqrt[2]) (π^3) (q^(224/5))))+((750561875 Gamma[3,((916 π y)/5)])/(192143824 (Sqrt[2]) (π^3) (q^(229/5))))+((37522625 Gamma[3,((936 π y)/5)])/(11389248 (Sqrt[2]) (π^3) (q^(234/5))))+((106655625 Gamma[3,((956 π y)/5)])/(27303838 (Sqrt[2]) (π^3) (q^(239/5))))+((808623375 Gamma[3,((976 π y)/5)])/(232428544 (Sqrt[2]) (π^3) (q^(244/5))))+((464576125 Gamma[3,((996 π y)/5)])/(123505992 (Sqrt[2]) (π^3) (q^(249/5))));
lv5ph2y3e3=((7125 (q^(4/5)))/(1024 (Sqrt[2]) (π^3)))+((87875 (q^(9/5)))/(11664 (Sqrt[2]) (π^3)))+((21375 (q^(14/5)))/(3136 (Sqrt[2]) (π^3)))+((214375 (q^(19/5)))/(27436 (Sqrt[2]) (π^3)))+((739375 (q^(24/5)))/(110592 (Sqrt[2]) (π^3)))+((1524375 (q^(29/5)))/(195112 (Sqrt[2]) (π^3)))+((268625 (q^(34/5)))/(39304 (Sqrt[2]) (π^3)))+((7625 (q^(39/5)))/(1014 (Sqrt[2]) (π^3)))+((2372625 (q^(44/5)))/(340736 (Sqrt[2]) (π^3)))+((14663375 (q^(49/5)))/(1882384 (Sqrt[2]) (π^3)))+((4151875 (q^(54/5)))/(629856 (Sqrt[2]) (π^3)))+((6418125 (q^(59/5)))/(821516 (Sqrt[2]) (π^3)))+((29127125 (q^(64/5)))/(4194304 (Sqrt[2]) (π^3)))+((9884875 (q^(69/5)))/(1314036 (Sqrt[2]) (π^3)))+((11080125 (q^(74/5)))/(1620896 (Sqrt[2]) (π^3)))+((3851875 (q^(79/5)))/(493039 (Sqrt[2]) (π^3)))+((586625 (q^(84/5)))/(87808 (Sqrt[2]) (π^3)))+((44060625 (q^(89/5)))/(5639752 (Sqrt[2]) (π^3)))+((45422125 (q^(94/5)))/(6644672 (Sqrt[2]) (π^3)))+((3251375 (q^(99/5)))/(431244 (Sqrt[2]) (π^3)))+((2401875 (q^(104/5)))/(346112 (Sqrt[2]) (π^3)))+((80939375 (q^(109/5)))/(10360232 (Sqrt[2]) (π^3)))+((19508125 (q^(114/5)))/(2963088 (Sqrt[2]) (π^3)))+((6562125 (Sqrt[2]) (q^(119/5)))/(1685159 (π^3)))+((6633375 (q^(124/5)))/(953312 (Sqrt[2]) (π^3)))+((7177625 (q^(129/5)))/(954084 (Sqrt[2]) (π^3)))+((131583375 (q^(134/5)))/(19248832 (Sqrt[2]) (π^3)))+((83925625 (q^(139/5)))/(10742476 (Sqrt[2]) (π^3)))+((319952875 (q^(144/5)))/(47775744 (Sqrt[2]) (π^3)))+((206746875 (q^(149/5)))/(26463592 (Sqrt[2]) (π^3)))+((7117875 (q^(154/5)))/(1043504 (Sqrt[2]) (π^3)))+((60480875 (q^(159/5)))/(8039358 (Sqrt[2]) (π^3)))+((245534625 (q^(164/5)))/(35287552 (Sqrt[2]) (π^3)))+((603076625 (q^(169/5)))/(77228944 (Sqrt[2]) (π^3)))+((15413125 (q^(174/5)))/(2341344 (Sqrt[2]) (π^3)))+((179229375 (q^(179/5)))/(22941356 (Sqrt[2]) (π^3)))+((345970625 (q^(184/5)))/(49836032 (Sqrt[2]) (π^3)))+((11269375 (q^(189/5)))/(1500282 (Sqrt[2]) (π^3)))+((24955875 (q^(194/5)))/(3650692 (Sqrt[2]) (π^3)))+((123134375 (q^(199/5)))/(15761198 (Sqrt[2]) (π^3)))+((9478625 (q^(204/5)))/(1414944 (Sqrt[2]) (π^3)))+((71386875 (q^(209/5)))/(9129329 (Sqrt[2]) (π^3)))+((535955875 (q^(214/5)))/(78402752 (Sqrt[2]) (π^3)))+((2926625 (q^(219/5)))/(389017 (Sqrt[2]) (π^3)))+((88941375 (q^(224/5)))/(12845056 (Sqrt[2]) (π^3)))+((750561875 (q^(229/5)))/(96071912 (Sqrt[2]) (π^3)))+((37522625 (q^(234/5)))/(5694624 (Sqrt[2]) (π^3)))+((106655625 (q^(239/5)))/(13651919 (Sqrt[2]) (π^3)))+((808623375 (q^(244/5)))/(116214272 (Sqrt[2]) (π^3)))+((464576125 (q^(249/5)))/(61752996 (Sqrt[2]) (π^3)))+((125 Gamma[3,((4 π y)/5)])/(32 (Sqrt[2]) (π^3) (q^(1/5))))+((11375 Gamma[3,((24 π y)/5)])/(3456 (Sqrt[2]) (π^3) (q^(6/5))))+((41625 Gamma[3,((44 π y)/5)])/(10648 (Sqrt[2]) (π^3) (q^(11/5))))+((455125 Gamma[3,((64 π y)/5)])/(131072 (Sqrt[2]) (π^3) (q^(16/5))))+((30875 Gamma[3,((84 π y)/5)])/(8232 (Sqrt[2]) (π^3) (q^(21/5))))+((480375 Gamma[3,((104 π y)/5)])/(140608 (Sqrt[2]) (π^3) (q^(26/5))))+((116375 Gamma[3,((124 π y)/5)])/(29791 (Sqrt[2]) (π^3) (q^(31/5))))+((1669625 Gamma[3,((144 π y)/5)])/(497664 (Sqrt[2]) (π^3) (q^(36/5))))+((4307625 Gamma[3,((164 π y)/5)])/(1102736 (Sqrt[2]) (π^3) (q^(41/5))))+((5322625 Gamma[3,((184 π y)/5)])/(1557376 (Sqrt[2]) (π^3) (q^(46/5))))+((498875 Gamma[3,((204 π y)/5)])/(132651 (Sqrt[2]) (π^3) (q^(51/5))))+((1389375 Gamma[3,((224 π y)/5)])/(401408 (Sqrt[2]) (π^3) (q^(56/5))))+((14186375 Gamma[3,((244 π y)/5)])/(3631696 (Sqrt[2]) (π^3) (q^(61/5))))+((420875 Gamma[3,((264 π y)/5)])/(127776 (Sqrt[2]) (π^3) (q^(66/5))))+((5592375 Gamma[3,((284 π y)/5)])/(1431644 (Sqrt[2]) (π^3) (q^(71/5))))+((643125 Gamma[3,((304 π y)/5)])/(184832 (Sqrt[2]) (π^3) (q^(76/5))))+((64057625 Gamma[3,((324 π y)/5)])/(17006112 (Sqrt[2]) (π^3) (q^(81/5))))+((34783875 Gamma[3,((344 π y)/5)])/(10176896 (Sqrt[2]) (π^3) (q^(86/5))))+((11734875 Gamma[3,((364 π y)/5)])/(3014284 (Sqrt[2]) (π^3) (q^(91/5))))+((15777125 Gamma[3,((384 π y)/5)])/(4718592 (Sqrt[2]) (π^3) (q^(96/5))))+((64393875 Gamma[3,((404 π y)/5)])/(16484816 (Sqrt[2]) (π^3) (q^(101/5))))+((32566625 Gamma[3,((424 π y)/5)])/(9528128 (Sqrt[2]) (π^3) (q^(106/5))))+((762125 Gamma[3,((444 π y)/5)])/(202612 (Sqrt[2]) (π^3) (q^(111/5))))+((86889375 Gamma[3,((464 π y)/5)])/(24974336 (Sqrt[2]) (π^3) (q^(116/5))))+((221611625 Gamma[3,((484 π y)/5)])/(56689952 (Sqrt[2]) (π^3) (q^(121/5))))+((1669625 Gamma[3,((504 π y)/5)])/(508032 (Sqrt[2]) (π^3) (q^(126/5))))+((70252875 Gamma[3,((524 π y)/5)])/(17984728 (Sqrt[2]) (π^3) (q^(131/5))))+((17460625 Gamma[3,((544 π y)/5)])/(5030912 (Sqrt[2]) (π^3) (q^(136/5))))+((84355375 Gamma[3,((564 π y)/5)])/(22425768 (Sqrt[2]) (π^3) (q^(141/5))))+((42548625 Gamma[3,((584 π y)/5)])/(12448544 (Sqrt[2]) (π^3) (q^(146/5))))+((53796125 Gamma[3,((604 π y)/5)])/(13771804 (Sqrt[2]) (π^3) (q^(151/5))))+((144875 Gamma[3,((624 π y)/5)])/(43264 (Sqrt[2]) (π^3) (q^(156/5))))+((18574875 Gamma[3,((644 π y)/5)])/(4769464 (Sqrt[2]) (π^3) (q^(161/5))))+((250156375 Gamma[3,((664 π y)/5)])/(73188736 (Sqrt[2]) (π^3) (q^(166/5))))+((7931875 Gamma[3,((684 π y)/5)])/(2105352 (Sqrt[2]) (π^3) (q^(171/5))))+((13777875 Gamma[3,((704 π y)/5)])/(3964928 (Sqrt[2]) (π^3) (q^(176/5))))+((370608875 Gamma[3,((724 π y)/5)])/(94875856 (Sqrt[2]) (π^3) (q^(181/5))))+((10590125 Gamma[3,((744 π y)/5)])/(3217428 (Sqrt[2]) (π^3) (q^(186/5))))+((13609125 (Sqrt[2]) Gamma[3,((764 π y)/5)])/(6967871 (π^3) (q^(191/5))))+((835812375 Gamma[3,((784 π y)/5)])/(240945152 (Sqrt[2]) (π^3) (q^(196/5))))+((27152125 Gamma[3,((804 π y)/5)])/(7218312 (Sqrt[2]) (π^3) (q^(201/5))))+((478067625 Gamma[3,((824 π y)/5)])/(139869056 (Sqrt[2]) (π^3) (q^(206/5))))+((293560375 Gamma[3,((844 π y)/5)])/(75151448 (Sqrt[2]) (π^3) (q^(211/5))))+((269871875 Gamma[3,((864 π y)/5)])/(80621568 (Sqrt[2]) (π^3) (q^(216/5))))+((21067875 (Sqrt[2]) Gamma[3,((884 π y)/5)])/(10793861 (π^3) (q^(221/5))))+((78908375 Gamma[3,((904 π y)/5)])/(23086352 (Sqrt[2]) (π^3) (q^(226/5))))+((3427125 Gamma[3,((924 π y)/5)])/(913066 (Sqrt[2]) (π^3) (q^(231/5))))+((365833125 Gamma[3,((944 π y)/5)])/(105154048 (Sqrt[2]) (π^3) (q^(236/5))))+((874845125 Gamma[3,((964 π y)/5)])/(223960336 (Sqrt[2]) (π^3) (q^(241/5))))+((43554875 Gamma[3,((984 π y)/5)])/(13232832 (Sqrt[2]) (π^3) (q^(246/5))));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((-2)))=(lv5ph2y3pe1,lv5ph2y3pe2,lv5ph2y3pe3)

lv5ph2y3pe1=0.10769300935905152` +((31 q)/(8 (π^3)))+((441 (q^2))/(128 (π^3)))+((91 (q^3))/(24 (π^3)))+((1767 (q^4))/(512 (π^3)))+((1953 (q^5))/(500 (π^3)))+((2821 (q^6))/(864 (π^3)))+((1539 (q^7))/(392 (π^3)))+((28665 (q^8))/(8192 (π^3)))+((21793 (q^9))/(5832 (π^3)))+((54691 (q^10))/(16000 (π^3)))+((10323 (q^11))/(2662 (π^3)))+((1729 (q^12))/(512 (π^3)))+((34587 (q^13))/(8788 (π^3)))+((5301 (q^14))/(1568 (π^3)))+((101569 (q^15))/(27000 (π^3)))+((112871 (q^16))/(32768 (π^3)))+((19341 (q^17))/(4913 (π^3)))+((34447 (q^18))/(10368 (π^3)))+((53165 (q^19))/(13718 (π^3)))+((111321 (q^20))/(32000 (π^3)))+((7657 (q^21))/(2058 (π^3)))+((146853 (q^22))/(42592 (π^3)))+((383229 (q^23))/(97336 (π^3)))+((183365 (q^24))/(55296 (π^3)))+((488281 (q^25))/(125000 (π^3)))+((119133 (q^26))/(35152 (π^3)))+((33215 (q^27))/(8748 (π^3)))+((87723 (q^28))/(25088 (π^3)))+((378045 (q^29))/(97556 (π^3)))+((19747 (q^30))/(6000 (π^3)))+((3724 (q^31))/(961 (π^3)))+((1835001 (q^32))/(524288 (π^3)))+((10101 (q^33))/(2662 (π^3)))+((66619 (q^34))/(19652 (π^3)))+((1336023 (q^35))/(343000 (π^3)))+((414067 (q^36))/(124416 (π^3)))+((797769 (q^37))/(202612 (π^3)))+((756315 (q^38))/(219488 (π^3)))+((1891 (q^39))/(507 (π^3)))+((710983 (q^40))/(204800 (π^3)))+((1068291 (q^41))/(275684 (π^3)))+((741 (q^42))/(224 (π^3)))+((2504439 (q^43))/(636056 (π^3)))+((588411 (q^44))/(170368 (π^3)))+((152551 (q^45))/(40500 (π^3)))+((1320011 (q^46))/(389344 (π^3)))+((3270393 (q^47))/(830584 (π^3)))+((331331 (q^48))/(98304 (π^3)))+((3636517 (q^49))/(941192 (π^3)))+((6835941 (q^50))/(2000000 (π^3)))+((y^3)/3)+((31 Gamma[3,4 π y])/(16 (π^3) q))+((441 Gamma[3,8 π y])/(256 (π^3) (q^2)))+((91 Gamma[3,12 π y])/(48 (π^3) (q^3)))+((1767 Gamma[3,16 π y])/(1024 (π^3) (q^4)))+((1953 Gamma[3,20 π y])/(1000 (π^3) (q^5)))+((2821 Gamma[3,24 π y])/(1728 (π^3) (q^6)))+((1539 Gamma[3,28 π y])/(784 (π^3) (q^7)))+((28665 Gamma[3,32 π y])/(16384 (π^3) (q^8)))+((21793 Gamma[3,36 π y])/(11664 (π^3) (q^9)))+((54691 Gamma[3,40 π y])/(32000 (π^3) (q^10)))+((10323 Gamma[3,44 π y])/(5324 (π^3) (q^11)))+((1729 Gamma[3,48 π y])/(1024 (π^3) (q^12)))+((34587 Gamma[3,52 π y])/(17576 (π^3) (q^13)))+((5301 Gamma[3,56 π y])/(3136 (π^3) (q^14)))+((101569 Gamma[3,60 π y])/(54000 (π^3) (q^15)))+((112871 Gamma[3,64 π y])/(65536 (π^3) (q^16)))+((19341 Gamma[3,68 π y])/(9826 (π^3) (q^17)))+((34447 Gamma[3,72 π y])/(20736 (π^3) (q^18)))+((53165 Gamma[3,76 π y])/(27436 (π^3) (q^19)))+((111321 Gamma[3,80 π y])/(64000 (π^3) (q^20)))+((7657 Gamma[3,84 π y])/(4116 (π^3) (q^21)))+((146853 Gamma[3,88 π y])/(85184 (π^3) (q^22)))+((383229 Gamma[3,92 π y])/(194672 (π^3) (q^23)))+((183365 Gamma[3,96 π y])/(110592 (π^3) (q^24)))+((488281 Gamma[3,100 π y])/(250000 (π^3) (q^25)))+((119133 Gamma[3,104 π y])/(70304 (π^3) (q^26)))+((33215 Gamma[3,108 π y])/(17496 (π^3) (q^27)))+((87723 Gamma[3,112 π y])/(50176 (π^3) (q^28)))+((378045 Gamma[3,116 π y])/(195112 (π^3) (q^29)))+((19747 Gamma[3,120 π y])/(12000 (π^3) (q^30)))+((1862 Gamma[3,124 π y])/(961 (π^3) (q^31)))+((1835001 Gamma[3,128 π y])/(1048576 (π^3) (q^32)))+((10101 Gamma[3,132 π y])/(5324 (π^3) (q^33)))+((66619 Gamma[3,136 π y])/(39304 (π^3) (q^34)))+((1336023 Gamma[3,140 π y])/(686000 (π^3) (q^35)))+((414067 Gamma[3,144 π y])/(248832 (π^3) (q^36)))+((797769 Gamma[3,148 π y])/(405224 (π^3) (q^37)))+((756315 Gamma[3,152 π y])/(438976 (π^3) (q^38)))+((1891 Gamma[3,156 π y])/(1014 (π^3) (q^39)))+((710983 Gamma[3,160 π y])/(409600 (π^3) (q^40)))+((1068291 Gamma[3,164 π y])/(551368 (π^3) (q^41)))+((741 Gamma[3,168 π y])/(448 (π^3) (q^42)))+((2504439 Gamma[3,172 π y])/(1272112 (π^3) (q^43)))+((588411 Gamma[3,176 π y])/(340736 (π^3) (q^44)))+((152551 Gamma[3,180 π y])/(81000 (π^3) (q^45)))+((1320011 Gamma[3,184 π y])/(778688 (π^3) (q^46)))+((3270393 Gamma[3,188 π y])/(1661168 (π^3) (q^47)))+((331331 Gamma[3,192 π y])/(196608 (π^3) (q^48)))+((3636517 Gamma[3,196 π y])/(1882384 (π^3) (q^49)))+((6835941 Gamma[3,200 π y])/(4000000 (π^3) (q^50)));
lv5ph2y3pe2=-((875 (q^(2/5)))/(128 (Sqrt[2]) (π^3)))-((21375 (q^(7/5)))/(2744 (Sqrt[2]) (π^3)))-((30875 (q^(12/5)))/(4608 (Sqrt[2]) (π^3)))-((38375 (q^(17/5)))/(4913 (Sqrt[2]) (π^3)))-((291375 (q^(22/5)))/(42592 (Sqrt[2]) (π^3)))-((593125 (q^(27/5)))/(78732 (Sqrt[2]) (π^3)))-((3640875 (q^(32/5)))/(524288 (Sqrt[2]) (π^3)))-((1582875 (q^(37/5)))/(202612 (Sqrt[2]) (π^3)))-((30875 (q^(42/5)))/(4704 (Sqrt[2]) (π^3)))-((6488875 (q^(47/5)))/(830584 (Sqrt[2]) (π^3)))-((3911625 (q^(52/5)))/(562432 (Sqrt[2]) (π^3)))-((2786875 (q^(57/5)))/(370386 (Sqrt[2]) (π^3)))-((814625 (q^(62/5)))/(119164 (Sqrt[2]) (π^3)))-((18797625 (q^(67/5)))/(2406104 (Sqrt[2]) (π^3)))-((39983125 (q^(72/5)))/(5971968 (Sqrt[2]) (π^3)))-((7117875 (q^(77/5)))/(913066 (Sqrt[2]) (π^3)))-((30153375 (q^(82/5)))/(4410944 (Sqrt[2]) (π^3)))-((2201875 (q^(87/5)))/(292668 (Sqrt[2]) (π^3)))-((43341375 (q^(92/5)))/(6229504 (Sqrt[2]) (π^3)))-((3565125 (Sqrt[2]) (q^(97/5)))/(912673 (π^3)))-((3492125 (q^(102/5)))/(530604 (Sqrt[2]) (π^3)))-((76565125 (q^(107/5)))/(9800344 (Sqrt[2]) (π^3)))-((77826375 (q^(112/5)))/(11239424 (Sqrt[2]) (π^3)))-((5360375 (q^(117/5)))/(711828 (Sqrt[2]) (π^3)))-((99304625 (q^(122/5)))/(14526784 (Sqrt[2]) (π^3)))-((128023875 (q^(127/5)))/(16387064 (Sqrt[2]) (π^3)))-((1142375 (q^(132/5)))/(170368 (Sqrt[2]) (π^3)))-((40177375 (q^(137/5)))/(5142706 (Sqrt[2]) (π^3)))-((39146625 (q^(142/5)))/(5726576 (Sqrt[2]) (π^3)))-((190623875 (q^(147/5)))/(25412184 (Sqrt[2]) (π^3)))-((97540625 (q^(152/5)))/(14047232 (Sqrt[2]) (π^3)))-((120934125 (q^(157/5)))/(15479572 (Sqrt[2]) (π^3)))-((448403375 (q^(162/5)))/(68024448 (Sqrt[2]) (π^3)))-((291091375 (q^(167/5)))/(37259704 (Sqrt[2]) (π^3)))-((283240125 (q^(172/5)))/(40707584 (Sqrt[2]) (π^3)))-((9270625 (q^(177/5)))/(1232274 (Sqrt[2]) (π^3)))-((11734875 (q^(182/5)))/(1722448 (Sqrt[2]) (π^3)))-((25557750 (Sqrt[2]) (q^(187/5)))/(6539203 (π^3)))-((378652625 (q^(192/5)))/(56623104 (Sqrt[2]) (π^3)))-((238917875 (q^(197/5)))/(30581492 (Sqrt[2]) (π^3)))-((450757125 (q^(202/5)))/(65939264 (Sqrt[2]) (π^3)))-((534543625 (q^(207/5)))/(70957944 (Sqrt[2]) (π^3)))-((265185375 (q^(212/5)))/(38112512 (Sqrt[2]) (π^3)))-((812250 (Sqrt[2]) (q^(217/5)))/(208537 (π^3)))-((5334875 (q^(222/5)))/(810448 (Sqrt[2]) (π^3)))-((731067625 (q^(227/5)))/(93576664 (Sqrt[2]) (π^3)))-((693590625 (q^(232/5)))/(99897344 (Sqrt[2]) (π^3)))-((50074375 (Sqrt[2]) (q^(237/5)))/(13312053 (π^3)))-((1551281375 (q^(242/5)))/(226759808 (Sqrt[2]) (π^3)))-((117691875 (q^(247/5)))/(15069223 (Sqrt[2]) (π^3)))-((1625 Gamma[3,((12 π y)/5)])/(432 (Sqrt[2]) (π^3) (q^(3/5))))-((56875 Gamma[3,((32 π y)/5)])/(16384 (Sqrt[2]) (π^3) (q^(8/5))))-((68625 Gamma[3,((52 π y)/5)])/(17576 (Sqrt[2]) (π^3) (q^(13/5))))-((615125 Gamma[3,((72 π y)/5)])/(186624 (Sqrt[2]) (π^3) (q^(18/5))))-((760375 Gamma[3,((92 π y)/5)])/(194672 (Sqrt[2]) (π^3) (q^(23/5))))-((1218375 Gamma[3,((112 π y)/5)])/(351232 (Sqrt[2]) (π^3) (q^(28/5))))-((60125 Gamma[3,((132 π y)/5)])/(15972 (Sqrt[2]) (π^3) (q^(33/5))))-((1500625 Gamma[3,((152 π y)/5)])/(438976 (Sqrt[2]) (π^3) (q^(38/5))))-((4969125 Gamma[3,((172 π y)/5)])/(1272112 (Sqrt[2]) (π^3) (q^(43/5))))-((5916625 Gamma[3,((192 π y)/5)])/(1769472 (Sqrt[2]) (π^3) (q^(48/5))))-((4652375 Gamma[3,((212 π y)/5)])/(1191016 (Sqrt[2]) (π^3) (q^(53/5))))-((10670625 Gamma[3,((232 π y)/5)])/(3121792 (Sqrt[2]) (π^3) (q^(58/5))))-((1669625 Gamma[3,((252 π y)/5)])/(444528 (Sqrt[2]) (π^3) (q^(63/5))))-((2187375 Gamma[3,((272 π y)/5)])/(628864 (Sqrt[2]) (π^3) (q^(68/5))))-((6078375 Gamma[3,((292 π y)/5)])/(1556068 (Sqrt[2]) (π^3) (q^(73/5))))-((53375 Gamma[3,((312 π y)/5)])/(16224 (Sqrt[2]) (π^3) (q^(78/5))))-((35736625 Gamma[3,((332 π y)/5)])/(9148592 (Sqrt[2]) (π^3) (q^(83/5))))-((18939375 Gamma[3,((352 π y)/5)])/(5451776 (Sqrt[2]) (π^3) (q^(88/5))))-((1512875 (Sqrt[2]) Gamma[3,((372 π y)/5)])/(804357 (π^3) (q^(93/5))))-((14663375 Gamma[3,((392 π y)/5)])/(4302592 (Sqrt[2]) (π^3) (q^(98/5))))-((68295375 Gamma[3,((412 π y)/5)])/(17483632 (Sqrt[2]) (π^3) (q^(103/5))))-((11269375 Gamma[3,((432 π y)/5)])/(3359232 (Sqrt[2]) (π^3) (q^(108/5))))-((11272625 Gamma[3,((452 π y)/5)])/(2885794 (Sqrt[2]) (π^3) (q^(113/5))))-((44926875 Gamma[3,((472 π y)/5)])/(13144256 (Sqrt[2]) (π^3) (q^(118/5))))-((6222125 Gamma[3,((492 π y)/5)])/(1654104 (Sqrt[2]) (π^3) (q^(123/5))))-((233016875 Gamma[3,((512 π y)/5)])/(67108864 (Sqrt[2]) (π^3) (q^(128/5))))-((5625 Gamma[3,((532 π y)/5)])/(1444 (Sqrt[2]) (π^3) (q^(133/5))))-((69194125 Gamma[3,((552 π y)/5)])/(21024576 (Sqrt[2]) (π^3) (q^(138/5))))-((22852125 Gamma[3,((572 π y)/5)])/(5848414 (Sqrt[2]) (π^3) (q^(143/5))))-((90223875 Gamma[3,((592 π y)/5)])/(25934336 (Sqrt[2]) (π^3) (q^(148/5))))-((26977625 Gamma[3,((612 π y)/5)])/(7163154 (Sqrt[2]) (π^3) (q^(153/5))))-((26963125 Gamma[3,((632 π y)/5)])/(7888624 (Sqrt[2]) (π^3) (q^(158/5))))-((270671625 Gamma[3,((652 π y)/5)])/(69291952 (Sqrt[2]) (π^3) (q^(163/5))))-((2006875 Gamma[3,((672 π y)/5)])/(602112 (Sqrt[2]) (π^3) (q^(168/5))))-((161803625 Gamma[3,((692 π y)/5)])/(41421736 (Sqrt[2]) (π^3) (q^(173/5))))-((308424375 Gamma[3,((712 π y)/5)])/(90236032 (Sqrt[2]) (π^3) (q^(178/5))))-((184422875 Gamma[3,((732 π y)/5)])/(49027896 (Sqrt[2]) (π^3) (q^(183/5))))-((369865875 Gamma[3,((752 π y)/5)])/(106314752 (Sqrt[2]) (π^3) (q^(188/5))))-((14041125 (Sqrt[2]) Gamma[3,((772 π y)/5)])/(7189057 (π^3) (q^(193/5))))-((22759625 Gamma[3,((792 π y)/5)])/(6899904 (Sqrt[2]) (π^3) (q^(198/5))))-((260668125 Gamma[3,((812 π y)/5)])/(66923416 (Sqrt[2]) (π^3) (q^(203/5))))-((249863625 Gamma[3,((832 π y)/5)])/(71991296 (Sqrt[2]) (π^3) (q^(208/5))))-((2692625 Gamma[3,((852 π y)/5)])/(715822 (Sqrt[2]) (π^3) (q^(213/5))))-((566575625 Gamma[3,((872 π y)/5)])/(165763712 (Sqrt[2]) (π^3) (q^(218/5))))-((693097875 Gamma[3,((892 π y)/5)])/(177433072 (Sqrt[2]) (π^3) (q^(223/5))))-((2786875 Gamma[3,((912 π y)/5)])/(831744 (Sqrt[2]) (π^3) (q^(228/5))))-((197645875 Gamma[3,((932 π y)/5)])/(50597348 (Sqrt[2]) (π^3) (q^(233/5))))-((6562125 Gamma[3,((952 π y)/5)])/(1925896 (Sqrt[2]) (π^3) (q^(238/5))))-((864777875 Gamma[3,((972 π y)/5)])/(229582512 (Sqrt[2]) (π^3) (q^(243/5))))-((52950625 Gamma[3,((992 π y)/5)])/(15252992 (Sqrt[2]) (π^3) (q^(248/5))));
lv5ph2y3pe3=-((1625 (q^(3/5)))/(216 (Sqrt[2]) (π^3)))-((56875 (q^(8/5)))/(8192 (Sqrt[2]) (π^3)))-((68625 (q^(13/5)))/(8788 (Sqrt[2]) (π^3)))-((615125 (q^(18/5)))/(93312 (Sqrt[2]) (π^3)))-((760375 (q^(23/5)))/(97336 (Sqrt[2]) (π^3)))-((1218375 (q^(28/5)))/(175616 (Sqrt[2]) (π^3)))-((60125 (q^(33/5)))/(7986 (Sqrt[2]) (π^3)))-((1500625 (q^(38/5)))/(219488 (Sqrt[2]) (π^3)))-((4969125 (q^(43/5)))/(636056 (Sqrt[2]) (π^3)))-((5916625 (q^(48/5)))/(884736 (Sqrt[2]) (π^3)))-((4652375 (q^(53/5)))/(595508 (Sqrt[2]) (π^3)))-((10670625 (q^(58/5)))/(1560896 (Sqrt[2]) (π^3)))-((1669625 (q^(63/5)))/(222264 (Sqrt[2]) (π^3)))-((2187375 (q^(68/5)))/(314432 (Sqrt[2]) (π^3)))-((6078375 (q^(73/5)))/(778034 (Sqrt[2]) (π^3)))-((53375 (q^(78/5)))/(8112 (Sqrt[2]) (π^3)))-((35736625 (q^(83/5)))/(4574296 (Sqrt[2]) (π^3)))-((18939375 (q^(88/5)))/(2725888 (Sqrt[2]) (π^3)))-((3025750 (Sqrt[2]) (q^(93/5)))/(804357 (π^3)))-((14663375 (q^(98/5)))/(2151296 (Sqrt[2]) (π^3)))-((68295375 (q^(103/5)))/(8741816 (Sqrt[2]) (π^3)))-((11269375 (q^(108/5)))/(1679616 (Sqrt[2]) (π^3)))-((11272625 (q^(113/5)))/(1442897 (Sqrt[2]) (π^3)))-((44926875 (q^(118/5)))/(6572128 (Sqrt[2]) (π^3)))-((6222125 (q^(123/5)))/(827052 (Sqrt[2]) (π^3)))-((233016875 (q^(128/5)))/(33554432 (Sqrt[2]) (π^3)))-((5625 (q^(133/5)))/(722 (Sqrt[2]) (π^3)))-((69194125 (q^(138/5)))/(10512288 (Sqrt[2]) (π^3)))-((22852125 (q^(143/5)))/(2924207 (Sqrt[2]) (π^3)))-((90223875 (q^(148/5)))/(12967168 (Sqrt[2]) (π^3)))-((26977625 (q^(153/5)))/(3581577 (Sqrt[2]) (π^3)))-((26963125 (q^(158/5)))/(3944312 (Sqrt[2]) (π^3)))-((270671625 (q^(163/5)))/(34645976 (Sqrt[2]) (π^3)))-((2006875 (q^(168/5)))/(301056 (Sqrt[2]) (π^3)))-((161803625 (q^(173/5)))/(20710868 (Sqrt[2]) (π^3)))-((308424375 (q^(178/5)))/(45118016 (Sqrt[2]) (π^3)))-((184422875 (q^(183/5)))/(24513948 (Sqrt[2]) (π^3)))-((369865875 (q^(188/5)))/(53157376 (Sqrt[2]) (π^3)))-((28082250 (Sqrt[2]) (q^(193/5)))/(7189057 (π^3)))-((22759625 (q^(198/5)))/(3449952 (Sqrt[2]) (π^3)))-((260668125 (q^(203/5)))/(33461708 (Sqrt[2]) (π^3)))-((249863625 (q^(208/5)))/(35995648 (Sqrt[2]) (π^3)))-((2692625 (q^(213/5)))/(357911 (Sqrt[2]) (π^3)))-((566575625 (q^(218/5)))/(82881856 (Sqrt[2]) (π^3)))-((693097875 (q^(223/5)))/(88716536 (Sqrt[2]) (π^3)))-((2786875 (q^(228/5)))/(415872 (Sqrt[2]) (π^3)))-((197645875 (q^(233/5)))/(25298674 (Sqrt[2]) (π^3)))-((6562125 (q^(238/5)))/(962948 (Sqrt[2]) (π^3)))-((864777875 (q^(243/5)))/(114791256 (Sqrt[2]) (π^3)))-((52950625 (q^(248/5)))/(7626496 (Sqrt[2]) (π^3)))-((875 Gamma[3,((8 π y)/5)])/(256 (Sqrt[2]) (π^3) (q^(2/5))))-((21375 Gamma[3,((28 π y)/5)])/(5488 (Sqrt[2]) (π^3) (q^(7/5))))-((30875 Gamma[3,((48 π y)/5)])/(9216 (Sqrt[2]) (π^3) (q^(12/5))))-((38375 Gamma[3,((68 π y)/5)])/(9826 (Sqrt[2]) (π^3) (q^(17/5))))-((291375 Gamma[3,((88 π y)/5)])/(85184 (Sqrt[2]) (π^3) (q^(22/5))))-((593125 Gamma[3,((108 π y)/5)])/(157464 (Sqrt[2]) (π^3) (q^(27/5))))-((3640875 Gamma[3,((128 π y)/5)])/(1048576 (Sqrt[2]) (π^3) (q^(32/5))))-((1582875 Gamma[3,((148 π y)/5)])/(405224 (Sqrt[2]) (π^3) (q^(37/5))))-((30875 Gamma[3,((168 π y)/5)])/(9408 (Sqrt[2]) (π^3) (q^(42/5))))-((6488875 Gamma[3,((188 π y)/5)])/(1661168 (Sqrt[2]) (π^3) (q^(47/5))))-((3911625 Gamma[3,((208 π y)/5)])/(1124864 (Sqrt[2]) (π^3) (q^(52/5))))-((2786875 Gamma[3,((228 π y)/5)])/(740772 (Sqrt[2]) (π^3) (q^(57/5))))-((814625 Gamma[3,((248 π y)/5)])/(238328 (Sqrt[2]) (π^3) (q^(62/5))))-((18797625 Gamma[3,((268 π y)/5)])/(4812208 (Sqrt[2]) (π^3) (q^(67/5))))-((39983125 Gamma[3,((288 π y)/5)])/(11943936 (Sqrt[2]) (π^3) (q^(72/5))))-((7117875 Gamma[3,((308 π y)/5)])/(1826132 (Sqrt[2]) (π^3) (q^(77/5))))-((30153375 Gamma[3,((328 π y)/5)])/(8821888 (Sqrt[2]) (π^3) (q^(82/5))))-((2201875 Gamma[3,((348 π y)/5)])/(585336 (Sqrt[2]) (π^3) (q^(87/5))))-((43341375 Gamma[3,((368 π y)/5)])/(12459008 (Sqrt[2]) (π^3) (q^(92/5))))-((3565125 Gamma[3,((388 π y)/5)])/(912673 (Sqrt[2]) (π^3) (q^(97/5))))-((3492125 Gamma[3,((408 π y)/5)])/(1061208 (Sqrt[2]) (π^3) (q^(102/5))))-((76565125 Gamma[3,((428 π y)/5)])/(19600688 (Sqrt[2]) (π^3) (q^(107/5))))-((77826375 Gamma[3,((448 π y)/5)])/(22478848 (Sqrt[2]) (π^3) (q^(112/5))))-((5360375 Gamma[3,((468 π y)/5)])/(1423656 (Sqrt[2]) (π^3) (q^(117/5))))-((99304625 Gamma[3,((488 π y)/5)])/(29053568 (Sqrt[2]) (π^3) (q^(122/5))))-((128023875 Gamma[3,((508 π y)/5)])/(32774128 (Sqrt[2]) (π^3) (q^(127/5))))-((1142375 Gamma[3,((528 π y)/5)])/(340736 (Sqrt[2]) (π^3) (q^(132/5))))-((40177375 Gamma[3,((548 π y)/5)])/(10285412 (Sqrt[2]) (π^3) (q^(137/5))))-((39146625 Gamma[3,((568 π y)/5)])/(11453152 (Sqrt[2]) (π^3) (q^(142/5))))-((190623875 Gamma[3,((588 π y)/5)])/(50824368 (Sqrt[2]) (π^3) (q^(147/5))))-((97540625 Gamma[3,((608 π y)/5)])/(28094464 (Sqrt[2]) (π^3) (q^(152/5))))-((120934125 Gamma[3,((628 π y)/5)])/(30959144 (Sqrt[2]) (π^3) (q^(157/5))))-((448403375 Gamma[3,((648 π y)/5)])/(136048896 (Sqrt[2]) (π^3) (q^(162/5))))-((291091375 Gamma[3,((668 π y)/5)])/(74519408 (Sqrt[2]) (π^3) (q^(167/5))))-((283240125 Gamma[3,((688 π y)/5)])/(81415168 (Sqrt[2]) (π^3) (q^(172/5))))-((9270625 Gamma[3,((708 π y)/5)])/(2464548 (Sqrt[2]) (π^3) (q^(177/5))))-((11734875 Gamma[3,((728 π y)/5)])/(3444896 (Sqrt[2]) (π^3) (q^(182/5))))-((12778875 (Sqrt[2]) Gamma[3,((748 π y)/5)])/(6539203 (π^3) (q^(187/5))))-((378652625 Gamma[3,((768 π y)/5)])/(113246208 (Sqrt[2]) (π^3) (q^(192/5))))-((238917875 Gamma[3,((788 π y)/5)])/(61162984 (Sqrt[2]) (π^3) (q^(197/5))))-((450757125 Gamma[3,((808 π y)/5)])/(131878528 (Sqrt[2]) (π^3) (q^(202/5))))-((534543625 Gamma[3,((828 π y)/5)])/(141915888 (Sqrt[2]) (π^3) (q^(207/5))))-((265185375 Gamma[3,((848 π y)/5)])/(76225024 (Sqrt[2]) (π^3) (q^(212/5))))-((406125 (Sqrt[2]) Gamma[3,((868 π y)/5)])/(208537 (π^3) (q^(217/5))))-((5334875 Gamma[3,((888 π y)/5)])/(1620896 (Sqrt[2]) (π^3) (q^(222/5))))-((731067625 Gamma[3,((908 π y)/5)])/(187153328 (Sqrt[2]) (π^3) (q^(227/5))))-((693590625 Gamma[3,((928 π y)/5)])/(199794688 (Sqrt[2]) (π^3) (q^(232/5))))-((50074375 Gamma[3,((948 π y)/5)])/(13312053 (Sqrt[2]) (π^3) (q^(237/5))))-((1551281375 Gamma[3,((968 π y)/5)])/(453519616 (Sqrt[2]) (π^3) (q^(242/5))))-((117691875 Gamma[3,((988 π y)/5)])/(30138446 (Sqrt[2]) (π^3) (q^(247/5))));

(Subscript[ρ, r])=5

(Subscript[Y, 5]^((-2)))=(lv5ph2y5e1,lv5ph2y5e2,lv5ph2y5e3,lv5ph2y5e4,lv5ph2y5e5)

lv5ph2y5e1=0.05591564365805286` +((315 q)/(208 (π^3)))+((2835 (q^2))/(1664 (π^3)))+((245 (q^3))/(156 (π^3)))+((22995 (q^4))/(13312 (π^3)))+((7563 (q^5))/(5200 (π^3)))+((735 (q^6))/(416 (π^3)))+((1935 (q^7))/(1274 (π^3)))+((14175 (q^8))/(8192 (π^3)))+((26495 (q^9))/(16848 (π^3)))+((68067 (q^10))/(41600 (π^3)))+((104895 (q^11))/(69212 (π^3)))+((17885 (q^12))/(9984 (π^3)))+((346185 (q^13))/(228488 (π^3)))+((17415 (q^14))/(10192 (π^3)))+((17647 (q^15))/(11700 (π^3)))+((1474515 (q^16))/(851968 (π^3)))+((59535 (q^17))/(39304 (π^3)))+((26495 (q^18))/(14976 (π^3)))+((540225 (q^19))/(356668 (π^3)))+((552099 (q^20))/(332800 (π^3)))+((430 (q^21))/(273 (π^3)))+((944055 (q^22))/(553696 (π^3)))+((36855 (q^23))/(24334 (π^3)))+((3675 (q^24))/(2048 (π^3)))+((945063 (q^25))/(650000 (π^3)))+((3115665 (q^26))/(1827904 (π^3)))+((89425 (q^27))/(56862 (π^3)))+((141255 (q^28))/(81536 (π^3)))+((3841425 (q^29))/(2536456 (π^3)))+((17647 (q^30))/(10400 (π^3)))+((586530 (q^31))/(387283 (π^3)))+((11796435 (q^32))/(6815744 (π^3)))+((27195 (q^33))/(17303 (π^3)))+((535815 (q^34))/(314432 (π^3)))+((325209 (q^35))/(222950 (π^3)))+((1934135 (q^36))/(1078272 (π^3)))+((7978005 (q^37))/(5267912 (π^3)))+((4862025 (q^38))/(2853344 (π^3)))+((269255 (q^39))/(171366 (π^3)))+((68067 (q^40))/(40960 (π^3)))+((10855215 (q^41))/(7167784 (π^3)))+((645 (q^42))/(364 (π^3)))+((481635 (q^43))/(318028 (π^3)))+((7657335 (q^44))/(4429568 (π^3)))+((1908397 (q^45))/(1263600 (π^3)))+((331695 (q^46))/(194672 (π^3)))+((2044035 (q^47))/(1349699 (π^3)))+((1146845 (q^48))/(638976 (π^3)))+((5309685 (q^49))/(3495856 (π^3)))+((8505567 (q^50))/(5200000 (π^3)))+((y^3)/3)+((315 Gamma[3,4 π y])/(416 (π^3) q))+((2835 Gamma[3,8 π y])/(3328 (π^3) (q^2)))+((245 Gamma[3,12 π y])/(312 (π^3) (q^3)))+((22995 Gamma[3,16 π y])/(26624 (π^3) (q^4)))+((7563 Gamma[3,20 π y])/(10400 (π^3) (q^5)))+((735 Gamma[3,24 π y])/(832 (π^3) (q^6)))+((1935 Gamma[3,28 π y])/(2548 (π^3) (q^7)))+((14175 Gamma[3,32 π y])/(16384 (π^3) (q^8)))+((26495 Gamma[3,36 π y])/(33696 (π^3) (q^9)))+((68067 Gamma[3,40 π y])/(83200 (π^3) (q^10)))+((104895 Gamma[3,44 π y])/(138424 (π^3) (q^11)))+((17885 Gamma[3,48 π y])/(19968 (π^3) (q^12)))+((346185 Gamma[3,52 π y])/(456976 (π^3) (q^13)))+((17415 Gamma[3,56 π y])/(20384 (π^3) (q^14)))+((17647 Gamma[3,60 π y])/(23400 (π^3) (q^15)))+((1474515 Gamma[3,64 π y])/(1703936 (π^3) (q^16)))+((59535 Gamma[3,68 π y])/(78608 (π^3) (q^17)))+((26495 Gamma[3,72 π y])/(29952 (π^3) (q^18)))+((540225 Gamma[3,76 π y])/(713336 (π^3) (q^19)))+((552099 Gamma[3,80 π y])/(665600 (π^3) (q^20)))+((215 Gamma[3,84 π y])/(273 (π^3) (q^21)))+((944055 Gamma[3,88 π y])/(1107392 (π^3) (q^22)))+((36855 Gamma[3,92 π y])/(48668 (π^3) (q^23)))+((3675 Gamma[3,96 π y])/(4096 (π^3) (q^24)))+((945063 Gamma[3,100 π y])/(1300000 (π^3) (q^25)))+((3115665 Gamma[3,104 π y])/(3655808 (π^3) (q^26)))+((89425 Gamma[3,108 π y])/(113724 (π^3) (q^27)))+((141255 Gamma[3,112 π y])/(163072 (π^3) (q^28)))+((3841425 Gamma[3,116 π y])/(5072912 (π^3) (q^29)))+((17647 Gamma[3,120 π y])/(20800 (π^3) (q^30)))+((293265 Gamma[3,124 π y])/(387283 (π^3) (q^31)))+((11796435 Gamma[3,128 π y])/(13631488 (π^3) (q^32)))+((27195 Gamma[3,132 π y])/(34606 (π^3) (q^33)))+((535815 Gamma[3,136 π y])/(628864 (π^3) (q^34)))+((325209 Gamma[3,140 π y])/(445900 (π^3) (q^35)))+((1934135 Gamma[3,144 π y])/(2156544 (π^3) (q^36)))+((7978005 Gamma[3,148 π y])/(10535824 (π^3) (q^37)))+((4862025 Gamma[3,152 π y])/(5706688 (π^3) (q^38)))+((269255 Gamma[3,156 π y])/(342732 (π^3) (q^39)))+((68067 Gamma[3,160 π y])/(81920 (π^3) (q^40)))+((10855215 Gamma[3,164 π y])/(14335568 (π^3) (q^41)))+((645 Gamma[3,168 π y])/(728 (π^3) (q^42)))+((481635 Gamma[3,172 π y])/(636056 (π^3) (q^43)))+((7657335 Gamma[3,176 π y])/(8859136 (π^3) (q^44)))+((1908397 Gamma[3,180 π y])/(2527200 (π^3) (q^45)))+((331695 Gamma[3,184 π y])/(389344 (π^3) (q^46)))+((2044035 Gamma[3,188 π y])/(2699398 (π^3) (q^47)))+((1146845 Gamma[3,192 π y])/(1277952 (π^3) (q^48)))+((5309685 Gamma[3,196 π y])/(6991712 (π^3) (q^49)))+((8505567 Gamma[3,200 π y])/(10400000 (π^3) (q^50)));
lv5ph2y5e2=-((625 (Sqrt[3]) (q^(1/5)))/(208 (Sqrt[2]) (π^3)))-((4375 (q^(6/5)))/(416 (Sqrt[6]) (π^3)))-((208125 (Sqrt[(3/2)]) (q^(11/5)))/(69212 (π^3)))-((2925625 (Sqrt[(3/2)]) (q^(16/5)))/(851968 (π^3)))-((26875 (Sqrt[(2/3)]) (q^(21/5)))/(5733 (π^3)))-((6181875 (Sqrt[(3/2)]) (q^(26/5)))/(1827904 (π^3)))-((581875 (Sqrt[6]) (q^(31/5)))/(387283 (π^3)))-((34538125 (q^(36/5)))/(3234816 (Sqrt[6]) (π^3)))-((21538125 (Sqrt[(3/2)]) (q^(41/5)))/(7167784 (π^3)))-((658125 (Sqrt[(3/2)]) (q^(46/5)))/(194672 (π^3)))-((30625 (Sqrt[(3/2)]) (q^(51/5)))/(9826 (π^3)))-((1209375 (Sqrt[(3/2)]) (q^(56/5)))/(351232 (π^3)))-((70931875 (Sqrt[(3/2)]) (q^(61/5)))/(23606024 (π^3)))-((485625 (Sqrt[(3/2)]) (q^(66/5)))/(138424 (π^3)))-((27961875 (Sqrt[(3/2)]) (q^(71/5)))/(9305686 (π^3)))-((78246875 (Sqrt[(3/2)]) (q^(76/5)))/(22826752 (π^3)))-((344925625 (q^(81/5)))/(36846576 (Sqrt[6]) (π^3)))-((8600625 (Sqrt[(3/2)]) (q^(86/5)))/(2544224 (π^3)))-((4219375 (Sqrt[(3/2)]) (q^(91/5)))/(1399489 (π^3)))-((6068125 (Sqrt[(3/2)]) (q^(96/5)))/(1703936 (π^3)))-((24766875 (Sqrt[(3/2)]) (q^(101/5)))/(8242408 (π^3)))-((418719375 (Sqrt[(3/2)]) (q^(106/5)))/(123865664 (π^3)))-((110805625 (q^(111/5)))/(11852802 (Sqrt[6]) (π^3)))-((556396875 (Sqrt[(3/2)]) (q^(116/5)))/(162333184 (π^3)))-((1108058125 (Sqrt[(3/2)]) (q^(121/5)))/(368484688 (π^3)))-((20344375 (q^(126/5)))/(1926288 (Sqrt[6]) (π^3)))-((351264375 (Sqrt[(3/2)]) (q^(131/5)))/(116900732 (π^3)))-((69103125 (Sqrt[(3/2)]) (q^(136/5)))/(20123648 (π^3)))-((6308750 (Sqrt[(2/3)]) (q^(141/5)))/(1349699 (π^3)))-((1094113125 (Sqrt[(3/2)]) (q^(146/5)))/(323662144 (π^3)))-((268980625 (Sqrt[(3/2)]) (q^(151/5)))/(89516726 (π^3)))-((350993125 (q^(156/5)))/(32902272 (Sqrt[6]) (π^3)))-((6288750 (Sqrt[6]) (q^(161/5)))/(4173281 (π^3)))-((804076875 (Sqrt[(3/2)]) (q^(166/5)))/(237863392 (π^3)))-((811409375 (q^(171/5)))/(86670324 (Sqrt[6]) (π^3)))-((974233125 (Sqrt[(3/2)]) (q^(176/5)))/(283492352 (π^3)))-((142541875 (Sqrt[(3/2)]) (q^(181/5)))/(47437928 (π^3)))-((4073125 (q^(186/5)))/(387283 (Sqrt[6]) (π^3)))-((136091250 (Sqrt[6]) (q^(191/5)))/(90582323 (π^3)))-((5383430625 (Sqrt[(3/2)]) (q^(196/5)))/(1566143488 (π^3)))-((328960625 (q^(201/5)))/(35189271 (Sqrt[6]) (π^3)))-((59101875 (Sqrt[(3/2)]) (q^(206/5)))/(17483632 (π^3)))-((1467801875 (Sqrt[(3/2)]) (q^(211/5)))/(488484412 (π^3)))-((7984375 (q^(216/5)))/(746496 (Sqrt[6]) (π^3)))-((129819375 (Sqrt[(3/2)]) (q^(221/5)))/(43175444 (π^3)))-((4058150625 (Sqrt[(3/2)]) (q^(226/5)))/(1200490304 (π^3)))-((3977500 (Sqrt[(2/3)]) (q^(231/5)))/(847847 (π^3)))-((2342615625 (Sqrt[(3/2)]) (q^(236/5)))/(683501312 (π^3)))-((4374225625 (Sqrt[(3/2)]) (q^(241/5)))/(1455742184 (π^3)))-((50255625 (Sqrt[(3/2)]) (q^(246/5)))/(14335568 (π^3)))-((45625 (Sqrt[(3/2)]) Gamma[3,((16 π y)/5)])/(26624 (π^3) (q^(4/5))))-((473125 Gamma[3,((36 π y)/5)])/(101088 (Sqrt[6]) (π^3) (q^(9/5))))-((241875 (Sqrt[(3/2)]) Gamma[3,((56 π y)/5)])/(142688 (π^3) (q^(14/5))))-((1071875 (Sqrt[(3/2)]) Gamma[3,((76 π y)/5)])/(713336 (π^3) (q^(19/5))))-((21875 Gamma[3,((96 π y)/5)])/(4096 (Sqrt[6]) (π^3) (q^(24/5))))-((7621875 (Sqrt[(3/2)]) Gamma[3,((116 π y)/5)])/(5072912 (π^3) (q^(29/5))))-((1063125 (Sqrt[(3/2)]) Gamma[3,((136 π y)/5)])/(628864 (π^3) (q^(34/5))))-((4808125 Gamma[3,((156 π y)/5)])/(1028196 (Sqrt[6]) (π^3) (q^(39/5))))-((15193125 (Sqrt[(3/2)]) Gamma[3,((176 π y)/5)])/(8859136 (π^3) (q^(44/5))))-((73745625 (Sqrt[(3/2)]) Gamma[3,((196 π y)/5)])/(48941984 (π^3) (q^(49/5))))-((1596875 Gamma[3,((216 π y)/5)])/(303264 (Sqrt[6]) (π^3) (q^(54/5))))-((32090625 (Sqrt[(3/2)]) Gamma[3,((236 π y)/5)])/(21359416 (π^3) (q^(59/5))))-((187245625 (Sqrt[(3/2)]) Gamma[3,((256 π y)/5)])/(109051904 (π^3) (q^(64/5))))-((56875 Gamma[3,((276 π y)/5)])/(12167 (Sqrt[6]) (π^3) (q^(69/5))))-((142464375 (Sqrt[(3/2)]) Gamma[3,((296 π y)/5)])/(84286592 (π^3) (q^(74/5))))-((19259375 (Sqrt[(3/2)]) Gamma[3,((316 π y)/5)])/(12819014 (π^3) (q^(79/5))))-((1961875 Gamma[3,((336 π y)/5)])/(366912 (Sqrt[6]) (π^3) (q^(84/5))))-((220303125 (Sqrt[(3/2)]) Gamma[3,((356 π y)/5)])/(146633552 (π^3) (q^(89/5))))-((36500625 (Sqrt[(3/2)]) Gamma[3,((376 π y)/5)])/(21595184 (π^3) (q^(94/5))))-((17505625 Gamma[3,((396 π y)/5)])/(3737448 (Sqrt[6]) (π^3) (q^(99/5))))-((30909375 (Sqrt[(3/2)]) Gamma[3,((416 π y)/5)])/(17997824 (π^3) (q^(104/5))))-((404696875 (Sqrt[(3/2)]) Gamma[3,((436 π y)/5)])/(269366032 (π^3) (q^(109/5))))-((7503125 Gamma[3,((456 π y)/5)])/(1426672 (Sqrt[6]) (π^3) (q^(114/5))))-((725625 (Sqrt[(3/2)]) Gamma[3,((476 π y)/5)])/(481474 (π^3) (q^(119/5))))-((42476875 (Sqrt[(3/2)]) Gamma[3,((496 π y)/5)])/(24786112 (π^3) (q^(124/5))))-((6689375 Gamma[3,((516 π y)/5)])/(1431126 (Sqrt[6]) (π^3) (q^(129/5))))-((422949375 (Sqrt[(3/2)]) Gamma[3,((536 π y)/5)])/(250234816 (π^3) (q^(134/5))))-((419628125 (Sqrt[(3/2)]) Gamma[3,((556 π y)/5)])/(279304376 (π^3) (q^(139/5))))-((2214698125 Gamma[3,((576 π y)/5)])/(414056448 (Sqrt[6]) (π^3) (q^(144/5))))-((1033734375 (Sqrt[(3/2)]) Gamma[3,((596 π y)/5)])/(688053392 (π^3) (q^(149/5))))-((80544375 (Sqrt[(3/2)]) Gamma[3,((616 π y)/5)])/(47479432 (π^3) (q^(154/5))))-((12061875 (Sqrt[(3/2)]) Gamma[3,((636 π y)/5)])/(7741604 (π^3) (q^(159/5))))-((1572283125 (Sqrt[(3/2)]) Gamma[3,((656 π y)/5)])/(917476352 (π^3) (q^(164/5))))-((3018129375 (Sqrt[(3/2)]) Gamma[3,((676 π y)/5)])/(2007952544 (π^3) (q^(169/5))))-((17784375 (Sqrt[(3/2)]) Gamma[3,((696 π y)/5)])/(10145824 (π^3) (q^(174/5))))-((68934375 (Sqrt[(3/2)]) Gamma[3,((716 π y)/5)])/(45882712 (π^3) (q^(179/5))))-((42778125 (Sqrt[(3/2)]) Gamma[3,((736 π y)/5)])/(24918016 (π^3) (q^(184/5))))-((9809375 (Sqrt[(2/3)]) Gamma[3,((756 π y)/5)])/(4179357 (π^3) (q^(189/5))))-((2566895625 (Sqrt[(3/2)]) Gamma[3,((776 π y)/5)])/(1518687872 (π^3) (q^(194/5))))-((47359375 (Sqrt[(3/2)]) Gamma[3,((796 π y)/5)])/(31522396 (π^3) (q^(199/5))))-((2235625 (Sqrt[(3/2)]) Gamma[3,((816 π y)/5)])/(1257728 (π^3) (q^(204/5))))-((356934375 (Sqrt[(3/2)]) Gamma[3,((836 π y)/5)])/(237362554 (π^3) (q^(209/5))))-((1722718125 (Sqrt[(3/2)]) Gamma[3,((856 π y)/5)])/(1019235776 (π^3) (q^(214/5))))-((850976875 Gamma[3,((876 π y)/5)])/(182059956 (Sqrt[6]) (π^3) (q^(219/5))))-((1006441875 (Sqrt[(3/2)]) Gamma[3,((896 π y)/5)])/(584450048 (π^3) (q^(224/5))))-((3752809375 (Sqrt[(3/2)]) Gamma[3,((916 π y)/5)])/(2497869712 (π^3) (q^(229/5))))-((519964375 Gamma[3,((936 π y)/5)])/(98706816 (Sqrt[6]) (π^3) (q^(234/5))))-((533278125 (Sqrt[(3/2)]) Gamma[3,((956 π y)/5)])/(354949894 (π^3) (q^(239/5))))-((5178026875 (Sqrt[(3/2)]) Gamma[3,((976 π y)/5)])/(3021571072 (π^3) (q^(244/5))))-((69488125 Gamma[3,((996 π y)/5)])/(14866462 (Sqrt[6]) (π^3) (q^(249/5))));
lv5ph2y5e3=-((5625 (Sqrt[3]) (q^(2/5)))/(1664 (Sqrt[2]) (π^3)))-((26875 (Sqrt[(3/2)]) (q^(7/5)))/(8918 (π^3)))-((319375 (q^(12/5)))/(29952 (Sqrt[6]) (π^3)))-((118125 (Sqrt[(3/2)]) (q^(17/5)))/(39304 (π^3)))-((1873125 (Sqrt[(3/2)]) (q^(22/5)))/(553696 (π^3)))-((1596875 (q^(27/5)))/(170586 (Sqrt[6]) (π^3)))-((23405625 (Sqrt[(3/2)]) (q^(32/5)))/(6815744 (π^3)))-((15829375 (Sqrt[(3/2)]) (q^(37/5)))/(5267912 (π^3)))-((26875 (q^(42/5)))/(2548 (Sqrt[6]) (π^3)))-((4055625 (Sqrt[(3/2)]) (q^(47/5)))/(1349699 (π^3)))-((50141875 (Sqrt[(3/2)]) (q^(52/5)))/(14623232 (π^3)))-((7503125 (q^(57/5)))/(802503 (Sqrt[6]) (π^3)))-((5236875 (Sqrt[(3/2)]) (q^(62/5)))/(1549132 (π^3)))-((46994375 (Sqrt[(3/2)]) (q^(67/5)))/(15639676 (π^3)))-((2365625 (q^(72/5)))/(221184 (Sqrt[6]) (π^3)))-((8949375 (Sqrt[6]) (q^(77/5)))/(5934929 (π^3)))-((193843125 (Sqrt[(3/2)]) (q^(82/5)))/(57342272 (π^3)))-((5928125 (q^(87/5)))/(634114 (Sqrt[6]) (π^3)))-((5338125 (Sqrt[(3/2)]) (q^(92/5)))/(1557376 (π^3)))-((285210625 (Sqrt[(3/2)]) (q^(97/5)))/(94917992 (π^3)))-((275625 (Sqrt[(3/2)]) (q^(102/5)))/(78608 (π^3)))-((191413125 (Sqrt[(3/2)]) (q^(107/5)))/(63702236 (π^3)))-((125801875 (Sqrt[(3/2)]) (q^(112/5)))/(36528128 (π^3)))-((519964375 (q^(117/5)))/(55522584 (Sqrt[6]) (π^3)))-((638386875 (Sqrt[(3/2)]) (q^(122/5)))/(188848192 (π^3)))-((3077500 (Sqrt[6]) (q^(127/5)))/(2048383 (π^3)))-((11816875 (q^(132/5)))/(1107392 (Sqrt[6]) (π^3)))-((803548125 (Sqrt[(3/2)]) (q^(137/5)))/(267420712 (π^3)))-((251656875 (Sqrt[(3/2)]) (q^(142/5)))/(74445488 (π^3)))-((24581875 (q^(147/5)))/(2621892 (Sqrt[6]) (π^3)))-((48234375 (Sqrt[(3/2)]) (q^(152/5)))/(14047232 (π^3)))-((1209341875 (Sqrt[(3/2)]) (q^(157/5)))/(402468872 (π^3)))-((344925625 (q^(162/5)))/(32752512 (Sqrt[6]) (π^3)))-((363864375 (Sqrt[(3/2)]) (q^(167/5)))/(121094038 (π^3)))-((69760625 (Sqrt[(3/2)]) (q^(172/5)))/(20353792 (π^3)))-((24959375 (q^(177/5)))/(2669927 (Sqrt[6]) (π^3)))-((37974375 (Sqrt[(3/2)]) (q^(182/5)))/(11195912 (π^3)))-((39335625 (Sqrt[(3/2)]) (q^(187/5)))/(13078406 (π^3)))-((1310719375 (q^(192/5)))/(122683392 (Sqrt[6]) (π^3)))-((2389179375 (Sqrt[(3/2)]) (q^(197/5)))/(795118792 (π^3)))-((222901875 (Sqrt[(3/2)]) (q^(202/5)))/(65939264 (π^3)))-((6150625 (q^(207/5)))/(657018 (Sqrt[6]) (π^3)))-((3396279375 (Sqrt[(3/2)]) (q^(212/5)))/(990925312 (π^3)))-((4085000 (Sqrt[6]) (q^(217/5)))/(2710981 (π^3)))-((110805625 (q^(222/5)))/(10535824 (Sqrt[6]) (π^3)))-((1827669375 (Sqrt[(3/2)]) (q^(227/5)))/(608248316 (π^3)))-((342984375 (Sqrt[(3/2)]) (q^(232/5)))/(99897344 (π^3)))-((269631250 (Sqrt[(2/3)]) (q^(237/5)))/(57685563 (π^3)))-((9972523125 (Sqrt[(3/2)]) (q^(242/5)))/(2947877504 (π^3)))-((1177990625 (Sqrt[(3/2)]) (q^(247/5)))/(391799798 (π^3)))-((4375 Gamma[3,((12 π y)/5)])/(936 (Sqrt[6]) (π^3) (q^(3/5))))-((28125 (Sqrt[(3/2)]) Gamma[3,((32 π y)/5)])/(16384 (π^3) (q^(8/5))))-((686875 (Sqrt[(3/2)]) Gamma[3,((52 π y)/5)])/(456976 (π^3) (q^(13/5))))-((473125 Gamma[3,((72 π y)/5)])/(89856 (Sqrt[6]) (π^3) (q^(18/5))))-((73125 (Sqrt[(3/2)]) Gamma[3,((92 π y)/5)])/(48668 (π^3) (q^(23/5))))-((1961875 (Sqrt[(3/2)]) Gamma[3,((112 π y)/5)])/(1141504 (π^3) (q^(28/5))))-((161875 Gamma[3,((132 π y)/5)])/(34606 (Sqrt[6]) (π^3) (q^(33/5))))-((9646875 (Sqrt[(3/2)]) Gamma[3,((152 π y)/5)])/(5706688 (π^3) (q^(38/5))))-((955625 (Sqrt[(3/2)]) Gamma[3,((172 π y)/5)])/(636056 (π^3) (q^(43/5))))-((20479375 Gamma[3,((192 π y)/5)])/(3833856 (Sqrt[6]) (π^3) (q^(48/5))))-((46524375 (Sqrt[(3/2)]) Gamma[3,((212 π y)/5)])/(30966416 (π^3) (q^(53/5))))-((68596875 (Sqrt[(3/2)]) Gamma[3,((232 π y)/5)])/(40583296 (π^3) (q^(58/5))))-((20344375 Gamma[3,((252 π y)/5)])/(4334148 (Sqrt[6]) (π^3) (q^(63/5))))-((8623125 (Sqrt[(3/2)]) Gamma[3,((272 π y)/5)])/(5030912 (π^3) (q^(68/5))))-((121568125 (Sqrt[(3/2)]) Gamma[3,((292 π y)/5)])/(80915536 (π^3) (q^(73/5))))-((4808125 Gamma[3,((312 π y)/5)])/(913952 (Sqrt[6]) (π^3) (q^(78/5))))-((89341875 (Sqrt[(3/2)]) Gamma[3,((332 π y)/5)])/(59465848 (π^3) (q^(83/5))))-((9365625 (Sqrt[(3/2)]) Gamma[3,((352 π y)/5)])/(5451776 (π^3) (q^(88/5))))-((8146250 (Sqrt[(2/3)]) Gamma[3,((372 π y)/5)])/(3485547 (π^3) (q^(93/5))))-((663710625 (Sqrt[(3/2)]) Gamma[3,((392 π y)/5)])/(391535872 (π^3) (q^(98/5))))-((6566875 (Sqrt[(3/2)]) Gamma[3,((412 π y)/5)])/(4370908 (π^3) (q^(103/5))))-((116571875 Gamma[3,((432 π y)/5)])/(21835008 (Sqrt[6]) (π^3) (q^(108/5))))-((450905625 (Sqrt[(3/2)]) Gamma[3,((452 π y)/5)])/(300122576 (π^3) (q^(113/5))))-((288815625 (Sqrt[(3/2)]) Gamma[3,((472 π y)/5)])/(170875328 (π^3) (q^(118/5))))-((16751875 Gamma[3,((492 π y)/5)])/(3583892 (Sqrt[6]) (π^3) (q^(123/5))))-((115228125 (Sqrt[(3/2)]) Gamma[3,((512 π y)/5)])/(67108864 (π^3) (q^(128/5))))-((134375 (Sqrt[(3/2)]) Gamma[3,((532 π y)/5)])/(89167 (π^3) (q^(133/5))))-((170625 (Sqrt[(3/2)]) Gamma[3,((552 π y)/5)])/(97336 (π^3) (q^(138/5))))-((228729375 (Sqrt[(3/2)]) Gamma[3,((572 π y)/5)])/(152058764 (π^3) (q^(143/5))))-((1155544375 (Sqrt[(3/2)]) Gamma[3,((592 π y)/5)])/(674292736 (π^3) (q^(148/5))))-((3311875 Gamma[3,((612 π y)/5)])/(707472 (Sqrt[6]) (π^3) (q^(153/5))))-((173334375 (Sqrt[(3/2)]) Gamma[3,((632 π y)/5)])/(102552112 (π^3) (q^(158/5))))-((676679375 (Sqrt[(3/2)]) Gamma[3,((652 π y)/5)])/(450397688 (π^3) (q^(163/5))))-((134375 Gamma[3,((672 π y)/5)])/(25088 (Sqrt[6]) (π^3) (q^(168/5))))-((124464375 (Sqrt[(3/2)]) Gamma[3,((692 π y)/5)])/(82843472 (π^3) (q^(173/5))))-((1982728125 (Sqrt[(3/2)]) Gamma[3,((712 π y)/5)])/(1173068416 (π^3) (q^(178/5))))-((496523125 Gamma[3,((732 π y)/5)])/(106227108 (Sqrt[6]) (π^3) (q^(183/5))))-((296060625 (Sqrt[(3/2)]) Gamma[3,((752 π y)/5)])/(172761472 (π^3) (q^(188/5))))-((2246580625 (Sqrt[(3/2)]) Gamma[3,((772 π y)/5)])/(1495323856 (π^3) (q^(193/5))))-((17505625 Gamma[3,((792 π y)/5)])/(3322176 (Sqrt[6]) (π^3) (q^(198/5))))-((327740625 (Sqrt[(3/2)]) Gamma[3,((812 π y)/5)])/(217501102 (π^3) (q^(203/5))))-((3215261875 (Sqrt[(3/2)]) Gamma[3,((832 π y)/5)])/(1871773696 (π^3) (q^(208/5))))-((7249375 (Sqrt[(3/2)]) Gamma[3,((852 π y)/5)])/(4652843 (π^3) (q^(213/5))))-((3642271875 (Sqrt[(3/2)]) Gamma[3,((872 π y)/5)])/(2154928256 (π^3) (q^(218/5))))-((216593125 (Sqrt[(3/2)]) Gamma[3,((892 π y)/5)])/(144164371 (π^3) (q^(223/5))))-((547728125 Gamma[3,((912 π y)/5)])/(102720384 (Sqrt[6]) (π^3) (q^(228/5))))-((304070625 (Sqrt[(3/2)]) Gamma[3,((932 π y)/5)])/(202389392 (π^3) (q^(233/5))))-((6530625 (Sqrt[(3/2)]) Gamma[3,((952 π y)/5)])/(3851792 (π^3) (q^(238/5))))-((2328248125 Gamma[3,((972 π y)/5)])/(497428776 (Sqrt[6]) (π^3) (q^(243/5))))-((26184375 (Sqrt[(3/2)]) Gamma[3,((992 π y)/5)])/(15252992 (π^3) (q^(248/5))));
lv5ph2y5e4=-((4375 (q^(3/5)))/(468 (Sqrt[6]) (π^3)))-((28125 (Sqrt[(3/2)]) (q^(8/5)))/(8192 (π^3)))-((686875 (Sqrt[(3/2)]) (q^(13/5)))/(228488 (π^3)))-((473125 (q^(18/5)))/(44928 (Sqrt[6]) (π^3)))-((73125 (Sqrt[(3/2)]) (q^(23/5)))/(24334 (π^3)))-((1961875 (Sqrt[(3/2)]) (q^(28/5)))/(570752 (π^3)))-((161875 (q^(33/5)))/(17303 (Sqrt[6]) (π^3)))-((9646875 (Sqrt[(3/2)]) (q^(38/5)))/(2853344 (π^3)))-((955625 (Sqrt[(3/2)]) (q^(43/5)))/(318028 (π^3)))-((20479375 (q^(48/5)))/(1916928 (Sqrt[6]) (π^3)))-((46524375 (Sqrt[(3/2)]) (q^(53/5)))/(15483208 (π^3)))-((68596875 (Sqrt[(3/2)]) (q^(58/5)))/(20291648 (π^3)))-((20344375 (q^(63/5)))/(2167074 (Sqrt[6]) (π^3)))-((8623125 (Sqrt[(3/2)]) (q^(68/5)))/(2515456 (π^3)))-((121568125 (Sqrt[(3/2)]) (q^(73/5)))/(40457768 (π^3)))-((4808125 (q^(78/5)))/(456976 (Sqrt[6]) (π^3)))-((89341875 (Sqrt[(3/2)]) (q^(83/5)))/(29732924 (π^3)))-((9365625 (Sqrt[(3/2)]) (q^(88/5)))/(2725888 (π^3)))-((16292500 (Sqrt[(2/3)]) (q^(93/5)))/(3485547 (π^3)))-((663710625 (Sqrt[(3/2)]) (q^(98/5)))/(195767936 (π^3)))-((6566875 (Sqrt[(3/2)]) (q^(103/5)))/(2185454 (π^3)))-((116571875 (q^(108/5)))/(10917504 (Sqrt[6]) (π^3)))-((450905625 (Sqrt[(3/2)]) (q^(113/5)))/(150061288 (π^3)))-((288815625 (Sqrt[(3/2)]) (q^(118/5)))/(85437664 (π^3)))-((16751875 (q^(123/5)))/(1791946 (Sqrt[6]) (π^3)))-((115228125 (Sqrt[(3/2)]) (q^(128/5)))/(33554432 (π^3)))-((134375 (Sqrt[6]) (q^(133/5)))/(89167 (π^3)))-((170625 (Sqrt[(3/2)]) (q^(138/5)))/(48668 (π^3)))-((228729375 (Sqrt[(3/2)]) (q^(143/5)))/(76029382 (π^3)))-((1155544375 (Sqrt[(3/2)]) (q^(148/5)))/(337146368 (π^3)))-((3311875 (q^(153/5)))/(353736 (Sqrt[6]) (π^3)))-((173334375 (Sqrt[(3/2)]) (q^(158/5)))/(51276056 (π^3)))-((676679375 (Sqrt[(3/2)]) (q^(163/5)))/(225198844 (π^3)))-((134375 (q^(168/5)))/(12544 (Sqrt[6]) (π^3)))-((124464375 (Sqrt[(3/2)]) (q^(173/5)))/(41421736 (π^3)))-((1982728125 (Sqrt[(3/2)]) (q^(178/5)))/(586534208 (π^3)))-((496523125 (q^(183/5)))/(53113554 (Sqrt[6]) (π^3)))-((296060625 (Sqrt[(3/2)]) (q^(188/5)))/(86380736 (π^3)))-((2246580625 (Sqrt[(3/2)]) (q^(193/5)))/(747661928 (π^3)))-((17505625 (q^(198/5)))/(1661088 (Sqrt[6]) (π^3)))-((327740625 (Sqrt[(3/2)]) (q^(203/5)))/(108750551 (π^3)))-((3215261875 (Sqrt[(3/2)]) (q^(208/5)))/(935886848 (π^3)))-((7249375 (Sqrt[6]) (q^(213/5)))/(4652843 (π^3)))-((3642271875 (Sqrt[(3/2)]) (q^(218/5)))/(1077464128 (π^3)))-((216593125 (Sqrt[6]) (q^(223/5)))/(144164371 (π^3)))-((547728125 (q^(228/5)))/(51360192 (Sqrt[6]) (π^3)))-((304070625 (Sqrt[(3/2)]) (q^(233/5)))/(101194696 (π^3)))-((6530625 (Sqrt[(3/2)]) (q^(238/5)))/(1925896 (π^3)))-((2328248125 (q^(243/5)))/(248714388 (Sqrt[6]) (π^3)))-((26184375 (Sqrt[(3/2)]) (q^(248/5)))/(7626496 (π^3)))-((5625 (Sqrt[(3/2)]) Gamma[3,((8 π y)/5)])/(3328 (π^3) (q^(2/5))))-((26875 (Sqrt[(3/2)]) Gamma[3,((28 π y)/5)])/(17836 (π^3) (q^(7/5))))-((319375 Gamma[3,((48 π y)/5)])/(59904 (Sqrt[6]) (π^3) (q^(12/5))))-((118125 (Sqrt[(3/2)]) Gamma[3,((68 π y)/5)])/(78608 (π^3) (q^(17/5))))-((1873125 (Sqrt[(3/2)]) Gamma[3,((88 π y)/5)])/(1107392 (π^3) (q^(22/5))))-((1596875 Gamma[3,((108 π y)/5)])/(341172 (Sqrt[6]) (π^3) (q^(27/5))))-((23405625 (Sqrt[(3/2)]) Gamma[3,((128 π y)/5)])/(13631488 (π^3) (q^(32/5))))-((15829375 (Sqrt[(3/2)]) Gamma[3,((148 π y)/5)])/(10535824 (π^3) (q^(37/5))))-((26875 Gamma[3,((168 π y)/5)])/(5096 (Sqrt[6]) (π^3) (q^(42/5))))-((4055625 (Sqrt[(3/2)]) Gamma[3,((188 π y)/5)])/(2699398 (π^3) (q^(47/5))))-((50141875 (Sqrt[(3/2)]) Gamma[3,((208 π y)/5)])/(29246464 (π^3) (q^(52/5))))-((7503125 Gamma[3,((228 π y)/5)])/(1605006 (Sqrt[6]) (π^3) (q^(57/5))))-((5236875 (Sqrt[(3/2)]) Gamma[3,((248 π y)/5)])/(3098264 (π^3) (q^(62/5))))-((46994375 (Sqrt[(3/2)]) Gamma[3,((268 π y)/5)])/(31279352 (π^3) (q^(67/5))))-((2365625 Gamma[3,((288 π y)/5)])/(442368 (Sqrt[6]) (π^3) (q^(72/5))))-((8949375 (Sqrt[(3/2)]) Gamma[3,((308 π y)/5)])/(5934929 (π^3) (q^(77/5))))-((193843125 (Sqrt[(3/2)]) Gamma[3,((328 π y)/5)])/(114684544 (π^3) (q^(82/5))))-((5928125 Gamma[3,((348 π y)/5)])/(1268228 (Sqrt[6]) (π^3) (q^(87/5))))-((5338125 (Sqrt[(3/2)]) Gamma[3,((368 π y)/5)])/(3114752 (π^3) (q^(92/5))))-((285210625 (Sqrt[(3/2)]) Gamma[3,((388 π y)/5)])/(189835984 (π^3) (q^(97/5))))-((275625 (Sqrt[(3/2)]) Gamma[3,((408 π y)/5)])/(157216 (π^3) (q^(102/5))))-((191413125 (Sqrt[(3/2)]) Gamma[3,((428 π y)/5)])/(127404472 (π^3) (q^(107/5))))-((125801875 (Sqrt[(3/2)]) Gamma[3,((448 π y)/5)])/(73056256 (π^3) (q^(112/5))))-((519964375 Gamma[3,((468 π y)/5)])/(111045168 (Sqrt[6]) (π^3) (q^(117/5))))-((638386875 (Sqrt[(3/2)]) Gamma[3,((488 π y)/5)])/(377696384 (π^3) (q^(122/5))))-((1538750 (Sqrt[6]) Gamma[3,((508 π y)/5)])/(2048383 (π^3) (q^(127/5))))-((11816875 Gamma[3,((528 π y)/5)])/(2214784 (Sqrt[6]) (π^3) (q^(132/5))))-((803548125 (Sqrt[(3/2)]) Gamma[3,((548 π y)/5)])/(534841424 (π^3) (q^(137/5))))-((251656875 (Sqrt[(3/2)]) Gamma[3,((568 π y)/5)])/(148890976 (π^3) (q^(142/5))))-((24581875 Gamma[3,((588 π y)/5)])/(5243784 (Sqrt[6]) (π^3) (q^(147/5))))-((48234375 (Sqrt[(3/2)]) Gamma[3,((608 π y)/5)])/(28094464 (π^3) (q^(152/5))))-((1209341875 (Sqrt[(3/2)]) Gamma[3,((628 π y)/5)])/(804937744 (π^3) (q^(157/5))))-((344925625 Gamma[3,((648 π y)/5)])/(65505024 (Sqrt[6]) (π^3) (q^(162/5))))-((363864375 (Sqrt[(3/2)]) Gamma[3,((668 π y)/5)])/(242188076 (π^3) (q^(167/5))))-((69760625 (Sqrt[(3/2)]) Gamma[3,((688 π y)/5)])/(40707584 (π^3) (q^(172/5))))-((24959375 Gamma[3,((708 π y)/5)])/(5339854 (Sqrt[6]) (π^3) (q^(177/5))))-((37974375 (Sqrt[(3/2)]) Gamma[3,((728 π y)/5)])/(22391824 (π^3) (q^(182/5))))-((39335625 (Sqrt[(3/2)]) Gamma[3,((748 π y)/5)])/(26156812 (π^3) (q^(187/5))))-((1310719375 Gamma[3,((768 π y)/5)])/(245366784 (Sqrt[6]) (π^3) (q^(192/5))))-((2389179375 (Sqrt[(3/2)]) Gamma[3,((788 π y)/5)])/(1590237584 (π^3) (q^(197/5))))-((222901875 (Sqrt[(3/2)]) Gamma[3,((808 π y)/5)])/(131878528 (π^3) (q^(202/5))))-((6150625 Gamma[3,((828 π y)/5)])/(1314036 (Sqrt[6]) (π^3) (q^(207/5))))-((3396279375 (Sqrt[(3/2)]) Gamma[3,((848 π y)/5)])/(1981850624 (π^3) (q^(212/5))))-((2042500 (Sqrt[6]) Gamma[3,((868 π y)/5)])/(2710981 (π^3) (q^(217/5))))-((110805625 Gamma[3,((888 π y)/5)])/(21071648 (Sqrt[6]) (π^3) (q^(222/5))))-((1827669375 (Sqrt[(3/2)]) Gamma[3,((908 π y)/5)])/(1216496632 (π^3) (q^(227/5))))-((342984375 (Sqrt[(3/2)]) Gamma[3,((928 π y)/5)])/(199794688 (π^3) (q^(232/5))))-((134815625 (Sqrt[(2/3)]) Gamma[3,((948 π y)/5)])/(57685563 (π^3) (q^(237/5))))-((9972523125 (Sqrt[(3/2)]) Gamma[3,((968 π y)/5)])/(5895755008 (π^3) (q^(242/5))))-((1177990625 (Sqrt[(3/2)]) Gamma[3,((988 π y)/5)])/(783599596 (π^3) (q^(247/5))));
lv5ph2y5e5=-((45625 (Sqrt[(3/2)]) (q^(4/5)))/(13312 (π^3)))-((473125 (q^(9/5)))/(50544 (Sqrt[6]) (π^3)))-((241875 (Sqrt[(3/2)]) (q^(14/5)))/(71344 (π^3)))-((1071875 (Sqrt[(3/2)]) (q^(19/5)))/(356668 (π^3)))-((21875 (q^(24/5)))/(2048 (Sqrt[6]) (π^3)))-((7621875 (Sqrt[(3/2)]) (q^(29/5)))/(2536456 (π^3)))-((1063125 (Sqrt[(3/2)]) (q^(34/5)))/(314432 (π^3)))-((4808125 (q^(39/5)))/(514098 (Sqrt[6]) (π^3)))-((15193125 (Sqrt[(3/2)]) (q^(44/5)))/(4429568 (π^3)))-((73745625 (Sqrt[(3/2)]) (q^(49/5)))/(24470992 (π^3)))-((1596875 (q^(54/5)))/(151632 (Sqrt[6]) (π^3)))-((32090625 (Sqrt[(3/2)]) (q^(59/5)))/(10679708 (π^3)))-((187245625 (Sqrt[(3/2)]) (q^(64/5)))/(54525952 (π^3)))-((56875 (Sqrt[(2/3)]) (q^(69/5)))/(12167 (π^3)))-((142464375 (Sqrt[(3/2)]) (q^(74/5)))/(42143296 (π^3)))-((19259375 (Sqrt[(3/2)]) (q^(79/5)))/(6409507 (π^3)))-((1961875 (q^(84/5)))/(183456 (Sqrt[6]) (π^3)))-((220303125 (Sqrt[(3/2)]) (q^(89/5)))/(73316776 (π^3)))-((36500625 (Sqrt[(3/2)]) (q^(94/5)))/(10797592 (π^3)))-((17505625 (q^(99/5)))/(1868724 (Sqrt[6]) (π^3)))-((30909375 (Sqrt[(3/2)]) (q^(104/5)))/(8998912 (π^3)))-((404696875 (Sqrt[(3/2)]) (q^(109/5)))/(134683016 (π^3)))-((7503125 (q^(114/5)))/(713336 (Sqrt[6]) (π^3)))-((725625 (Sqrt[(3/2)]) (q^(119/5)))/(240737 (π^3)))-((42476875 (Sqrt[(3/2)]) (q^(124/5)))/(12393056 (π^3)))-((6689375 (q^(129/5)))/(715563 (Sqrt[6]) (π^3)))-((422949375 (Sqrt[(3/2)]) (q^(134/5)))/(125117408 (π^3)))-((419628125 (Sqrt[(3/2)]) (q^(139/5)))/(139652188 (π^3)))-((2214698125 (q^(144/5)))/(207028224 (Sqrt[6]) (π^3)))-((1033734375 (Sqrt[(3/2)]) (q^(149/5)))/(344026696 (π^3)))-((80544375 (Sqrt[(3/2)]) (q^(154/5)))/(23739716 (π^3)))-((12061875 (Sqrt[(3/2)]) (q^(159/5)))/(3870802 (π^3)))-((1572283125 (Sqrt[(3/2)]) (q^(164/5)))/(458738176 (π^3)))-((3018129375 (Sqrt[(3/2)]) (q^(169/5)))/(1003976272 (π^3)))-((17784375 (Sqrt[(3/2)]) (q^(174/5)))/(5072912 (π^3)))-((68934375 (Sqrt[(3/2)]) (q^(179/5)))/(22941356 (π^3)))-((42778125 (Sqrt[(3/2)]) (q^(184/5)))/(12459008 (π^3)))-((19618750 (Sqrt[(2/3)]) (q^(189/5)))/(4179357 (π^3)))-((2566895625 (Sqrt[(3/2)]) (q^(194/5)))/(759343936 (π^3)))-((47359375 (Sqrt[(3/2)]) (q^(199/5)))/(15761198 (π^3)))-((2235625 (Sqrt[(3/2)]) (q^(204/5)))/(628864 (π^3)))-((356934375 (Sqrt[(3/2)]) (q^(209/5)))/(118681277 (π^3)))-((1722718125 (Sqrt[(3/2)]) (q^(214/5)))/(509617888 (π^3)))-((850976875 (q^(219/5)))/(91029978 (Sqrt[6]) (π^3)))-((1006441875 (Sqrt[(3/2)]) (q^(224/5)))/(292225024 (π^3)))-((3752809375 (Sqrt[(3/2)]) (q^(229/5)))/(1248934856 (π^3)))-((519964375 (q^(234/5)))/(49353408 (Sqrt[6]) (π^3)))-((533278125 (Sqrt[(3/2)]) (q^(239/5)))/(177474947 (π^3)))-((5178026875 (Sqrt[(3/2)]) (q^(244/5)))/(1510785536 (π^3)))-((69488125 (q^(249/5)))/(7433231 (Sqrt[6]) (π^3)))-((625 (Sqrt[(3/2)]) Gamma[3,((4 π y)/5)])/(416 (π^3) (q^(1/5))))-((4375 Gamma[3,((24 π y)/5)])/(832 (Sqrt[6]) (π^3) (q^(6/5))))-((208125 (Sqrt[(3/2)]) Gamma[3,((44 π y)/5)])/(138424 (π^3) (q^(11/5))))-((2925625 (Sqrt[(3/2)]) Gamma[3,((64 π y)/5)])/(1703936 (π^3) (q^(16/5))))-((26875 Gamma[3,((84 π y)/5)])/(5733 (Sqrt[6]) (π^3) (q^(21/5))))-((6181875 (Sqrt[(3/2)]) Gamma[3,((104 π y)/5)])/(3655808 (π^3) (q^(26/5))))-((581875 (Sqrt[(3/2)]) Gamma[3,((124 π y)/5)])/(387283 (π^3) (q^(31/5))))-((34538125 Gamma[3,((144 π y)/5)])/(6469632 (Sqrt[6]) (π^3) (q^(36/5))))-((21538125 (Sqrt[(3/2)]) Gamma[3,((164 π y)/5)])/(14335568 (π^3) (q^(41/5))))-((658125 (Sqrt[(3/2)]) Gamma[3,((184 π y)/5)])/(389344 (π^3) (q^(46/5))))-((30625 (Sqrt[(3/2)]) Gamma[3,((204 π y)/5)])/(19652 (π^3) (q^(51/5))))-((1209375 (Sqrt[(3/2)]) Gamma[3,((224 π y)/5)])/(702464 (π^3) (q^(56/5))))-((70931875 (Sqrt[(3/2)]) Gamma[3,((244 π y)/5)])/(47212048 (π^3) (q^(61/5))))-((485625 (Sqrt[(3/2)]) Gamma[3,((264 π y)/5)])/(276848 (π^3) (q^(66/5))))-((27961875 (Sqrt[(3/2)]) Gamma[3,((284 π y)/5)])/(18611372 (π^3) (q^(71/5))))-((78246875 (Sqrt[(3/2)]) Gamma[3,((304 π y)/5)])/(45653504 (π^3) (q^(76/5))))-((344925625 Gamma[3,((324 π y)/5)])/(73693152 (Sqrt[6]) (π^3) (q^(81/5))))-((8600625 (Sqrt[(3/2)]) Gamma[3,((344 π y)/5)])/(5088448 (π^3) (q^(86/5))))-((4219375 (Sqrt[(3/2)]) Gamma[3,((364 π y)/5)])/(2798978 (π^3) (q^(91/5))))-((6068125 (Sqrt[(3/2)]) Gamma[3,((384 π y)/5)])/(3407872 (π^3) (q^(96/5))))-((24766875 (Sqrt[(3/2)]) Gamma[3,((404 π y)/5)])/(16484816 (π^3) (q^(101/5))))-((418719375 (Sqrt[(3/2)]) Gamma[3,((424 π y)/5)])/(247731328 (π^3) (q^(106/5))))-((110805625 Gamma[3,((444 π y)/5)])/(23705604 (Sqrt[6]) (π^3) (q^(111/5))))-((556396875 (Sqrt[(3/2)]) Gamma[3,((464 π y)/5)])/(324666368 (π^3) (q^(116/5))))-((1108058125 (Sqrt[(3/2)]) Gamma[3,((484 π y)/5)])/(736969376 (π^3) (q^(121/5))))-((20344375 Gamma[3,((504 π y)/5)])/(3852576 (Sqrt[6]) (π^3) (q^(126/5))))-((351264375 (Sqrt[(3/2)]) Gamma[3,((524 π y)/5)])/(233801464 (π^3) (q^(131/5))))-((69103125 (Sqrt[(3/2)]) Gamma[3,((544 π y)/5)])/(40247296 (π^3) (q^(136/5))))-((3154375 (Sqrt[(2/3)]) Gamma[3,((564 π y)/5)])/(1349699 (π^3) (q^(141/5))))-((1094113125 (Sqrt[(3/2)]) Gamma[3,((584 π y)/5)])/(647324288 (π^3) (q^(146/5))))-((268980625 (Sqrt[(3/2)]) Gamma[3,((604 π y)/5)])/(179033452 (π^3) (q^(151/5))))-((350993125 Gamma[3,((624 π y)/5)])/(65804544 (Sqrt[6]) (π^3) (q^(156/5))))-((3144375 (Sqrt[6]) Gamma[3,((644 π y)/5)])/(4173281 (π^3) (q^(161/5))))-((804076875 (Sqrt[(3/2)]) Gamma[3,((664 π y)/5)])/(475726784 (π^3) (q^(166/5))))-((811409375 Gamma[3,((684 π y)/5)])/(173340648 (Sqrt[6]) (π^3) (q^(171/5))))-((974233125 (Sqrt[(3/2)]) Gamma[3,((704 π y)/5)])/(566984704 (π^3) (q^(176/5))))-((142541875 (Sqrt[(3/2)]) Gamma[3,((724 π y)/5)])/(94875856 (π^3) (q^(181/5))))-((4073125 Gamma[3,((744 π y)/5)])/(774566 (Sqrt[6]) (π^3) (q^(186/5))))-((68045625 (Sqrt[6]) Gamma[3,((764 π y)/5)])/(90582323 (π^3) (q^(191/5))))-((5383430625 (Sqrt[(3/2)]) Gamma[3,((784 π y)/5)])/(3132286976 (π^3) (q^(196/5))))-((328960625 Gamma[3,((804 π y)/5)])/(70378542 (Sqrt[6]) (π^3) (q^(201/5))))-((59101875 (Sqrt[(3/2)]) Gamma[3,((824 π y)/5)])/(34967264 (π^3) (q^(206/5))))-((1467801875 (Sqrt[(3/2)]) Gamma[3,((844 π y)/5)])/(976968824 (π^3) (q^(211/5))))-((7984375 Gamma[3,((864 π y)/5)])/(1492992 (Sqrt[6]) (π^3) (q^(216/5))))-((129819375 (Sqrt[(3/2)]) Gamma[3,((884 π y)/5)])/(86350888 (π^3) (q^(221/5))))-((4058150625 (Sqrt[(3/2)]) Gamma[3,((904 π y)/5)])/(2400980608 (π^3) (q^(226/5))))-((1988750 (Sqrt[(2/3)]) Gamma[3,((924 π y)/5)])/(847847 (π^3) (q^(231/5))))-((2342615625 (Sqrt[(3/2)]) Gamma[3,((944 π y)/5)])/(1367002624 (π^3) (q^(236/5))))-((4374225625 (Sqrt[(3/2)]) Gamma[3,((964 π y)/5)])/(2911484368 (π^3) (q^(241/5))))-((50255625 (Sqrt[(3/2)]) Gamma[3,((984 π y)/5)])/(28671136 (π^3) (q^(246/5))));

weight -4

(Subscript[ρ, r])=1

(Subscript[Y, 1]^((-4)))=lv5ph4y1

lv5ph4y1=((189 q)/(16 (π^5)))+((6237 (q^2))/(512 (π^5)))+((427 (q^3))/(36 (π^5)))+((199773 (q^4))/(16384 (π^5)))+((295407 (q^5))/(25000 (π^5)))+((4697 (q^6))/(384 (π^5)))+((56727 (q^7))/(4802 (π^5)))+((6392925 (q^8))/(524288 (π^5)))+((415051 (q^9))/(34992 (π^5)))+((9748431 (q^10))/(800000 (π^5)))+((7609707 (q^11))/(644204 (π^5)))+((451339 (q^12))/(36864 (π^5)))+((35087283 (q^13))/(2970344 (π^5)))+((1871991 (q^14))/(153664 (π^5)))+((222467 (q^15))/(18750 (π^5)))+((204573789 (q^16))/(16777216 (π^5)))+((134176581 (q^17))/(11358856 (π^5)))+((4565561 (q^18))/(373248 (π^5)))+((116995725 (q^19))/(9904396 (π^5)))+((312245199 (q^20))/(25600000 (π^5)))+((256322 (q^21))/(21609 (π^5)))+((22829121 (q^22))/(1874048 (π^5)))+((152058627 (q^23))/(12872686 (π^5)))+((4814425 (q^24))/(393216 (π^5)))+((1846293939 (q^25))/(156250000 (π^5)))+((1157880339 (q^26))/(95051008 (π^5)))+((12607175 (q^27))/(1062882 (π^5)))+((8565777 (q^28))/(702464 (π^5)))+((1938303675 (q^29))/(164089192 (π^5)))+((2447137 (q^30))/(200000 (π^5)))+((338181858 (q^31))/(28629151 (π^5)))+((6546361437 (q^32))/(536870912 (π^5)))+((5730767 (q^33))/(483153 (π^5)))+((4427827173 (q^34))/(363483392 (π^5)))+((88664301 (q^35))/(7503125 (π^5)))+((438708907 (q^36))/(35831808 (π^5)))+((6553004031 (q^37))/(554751656 (π^5)))+((3860858925 (q^38))/(316940672 (π^5)))+((79271269 (q^39))/(6683274 (π^5)))+((399685671 (q^40))/(32768000 (π^5)))+((10948411089 (q^41))/(926849608 (π^5)))+((1409771 (q^42))/(115248 (π^5)))+((6946148979 (q^43))/(588033772 (π^5)))+((8043460299 (q^44))/(659664896 (π^5)))+((216241571 (q^45))/(18225000 (π^5)))+((5017934691 (q^46))/(411925952 (π^5)))+((2709137907 (q^47))/(229345007 (π^5)))+((462185227 (q^48))/(37748736 (π^5)))+((7627285539 (q^49))/(645657712 (π^5)))+((60927699987 (q^50))/(5000000000 (π^5)))+((y^5)/5)+((63 Gamma[5,4 π y])/(128 (π^5) q))+((2079 Gamma[5,8 π y])/(4096 (π^5) (q^2)))+((427 Gamma[5,12 π y])/(864 (π^5) (q^3)))+((66591 Gamma[5,16 π y])/(131072 (π^5) (q^4)))+((98469 Gamma[5,20 π y])/(200000 (π^5) (q^5)))+((4697 Gamma[5,24 π y])/(9216 (π^5) (q^6)))+((18909 Gamma[5,28 π y])/(38416 (π^5) (q^7)))+((2130975 Gamma[5,32 π y])/(4194304 (π^5) (q^8)))+((415051 Gamma[5,36 π y])/(839808 (π^5) (q^9)))+((3249477 Gamma[5,40 π y])/(6400000 (π^5) (q^10)))+((2536569 Gamma[5,44 π y])/(5153632 (π^5) (q^11)))+((451339 Gamma[5,48 π y])/(884736 (π^5) (q^12)))+((11695761 Gamma[5,52 π y])/(23762752 (π^5) (q^13)))+((623997 Gamma[5,56 π y])/(1229312 (π^5) (q^14)))+((222467 Gamma[5,60 π y])/(450000 (π^5) (q^15)))+((68191263 Gamma[5,64 π y])/(134217728 (π^5) (q^16)))+((44725527 Gamma[5,68 π y])/(90870848 (π^5) (q^17)))+((4565561 Gamma[5,72 π y])/(8957952 (π^5) (q^18)))+((38998575 Gamma[5,76 π y])/(79235168 (π^5) (q^19)))+((104081733 Gamma[5,80 π y])/(204800000 (π^5) (q^20)))+((128161 Gamma[5,84 π y])/(259308 (π^5) (q^21)))+((7609707 Gamma[5,88 π y])/(14992384 (π^5) (q^22)))+((50686209 Gamma[5,92 π y])/(102981488 (π^5) (q^23)))+((4814425 Gamma[5,96 π y])/(9437184 (π^5) (q^24)))+((615431313 Gamma[5,100 π y])/(1250000000 (π^5) (q^25)))+((385960113 Gamma[5,104 π y])/(760408064 (π^5) (q^26)))+((12607175 Gamma[5,108 π y])/(25509168 (π^5) (q^27)))+((2855259 Gamma[5,112 π y])/(5619712 (π^5) (q^28)))+((646101225 Gamma[5,116 π y])/(1312713536 (π^5) (q^29)))+((2447137 Gamma[5,120 π y])/(4800000 (π^5) (q^30)))+((56363643 Gamma[5,124 π y])/(114516604 (π^5) (q^31)))+((2182120479 Gamma[5,128 π y])/(4294967296 (π^5) (q^32)))+((5730767 Gamma[5,132 π y])/(11595672 (π^5) (q^33)))+((1475942391 Gamma[5,136 π y])/(2907867136 (π^5) (q^34)))+((29554767 Gamma[5,140 π y])/(60025000 (π^5) (q^35)))+((438708907 Gamma[5,144 π y])/(859963392 (π^5) (q^36)))+((2184334677 Gamma[5,148 π y])/(4438013248 (π^5) (q^37)))+((1286952975 Gamma[5,152 π y])/(2535525376 (π^5) (q^38)))+((79271269 Gamma[5,156 π y])/(160398576 (π^5) (q^39)))+((133228557 Gamma[5,160 π y])/(262144000 (π^5) (q^40)))+((3649470363 Gamma[5,164 π y])/(7414796864 (π^5) (q^41)))+((1409771 Gamma[5,168 π y])/(2765952 (π^5) (q^42)))+((2315382993 Gamma[5,172 π y])/(4704270176 (π^5) (q^43)))+((2681153433 Gamma[5,176 π y])/(5277319168 (π^5) (q^44)))+((216241571 Gamma[5,180 π y])/(437400000 (π^5) (q^45)))+((1672644897 Gamma[5,184 π y])/(3295407616 (π^5) (q^46)))+((903045969 Gamma[5,188 π y])/(1834760056 (π^5) (q^47)))+((462185227 Gamma[5,192 π y])/(905969664 (π^5) (q^48)))+((2542428513 Gamma[5,196 π y])/(5165261696 (π^5) (q^49)))+((20309233329 Gamma[5,200 π y])/(40000000000 (π^5) (q^50)))+((189 Zeta[5])/(16 (π^5)));

(Subscript[ρ, r])=3

(Subscript[Y, 3]^((-4)))=(lv5ph4y3e1,lv5ph4y3e2,lv5ph4y3e3)

lv5ph4y3e1=0.017247857248905454` +((23445 q)/(4288 (π^5)))+((363165 (q^2))/(68608 (π^5)))+((472505 (q^3))/(86832 (π^5)))+((23280885 (q^4))/(4390912 (π^5)))+((14648439 (q^5))/(2680000 (π^5)))+((9771355 (q^6))/(1852416 (π^5)))+((98441145 (q^7))/(18017104 (π^5)))+((372244125 (q^8))/(70254592 (π^5)))+((153192235 (q^9))/(28133568 (π^5)))+((113525379 (q^10))/(21440000 (π^5)))+((943966035 (q^11))/(172646672 (π^5)))+((156399155 (q^12))/(29638656 (π^5)))+((1087421445 (q^13))/(199013048 (π^5)))+((6107258385 (q^14))/(1153094656 (π^5)))+((49235021 (q^15))/(9045000 (π^5)))+((23838899445 (q^16))/(4496293888 (π^5)))+((1039600815 (q^17))/(190260838 (π^5)))+((7118881385 (q^18))/(1350411264 (π^5)))+((14513041125 (q^19))/(2654378128 (π^5)))+((14545899927 (q^20))/(2744320000 (π^5)))+((882889205 (q^21))/(162153936 (π^5)))+((1329282945 (q^22))/(251122432 (π^5)))+((37700873265 (q^23))/(6899759696 (π^5)))+((10015638875 (q^24))/(1896873984 (π^5)))+((45776367189 (q^25))/(8375000000 (π^5)))+((67463292285 (q^26))/(12736835072 (π^5)))+((13950710125 (q^27))/(2563671384 (π^5)))+((97752056985 (q^28))/(18449514496 (π^5)))+((240441955875 (q^29))/(43975903456 (π^5)))+((18315431563 (q^30))/(3473280000 (π^5)))+((20975327145 (q^31))/(3836306234 (π^5)))+((381178347165 (q^32))/(71940702208 (π^5)))+((4764455 (q^33))/(875556 (π^5)))+((64496515095 (q^34))/(12176693632 (π^5)))+((30772701927 (q^35))/(5630345000 (π^5)))+((50706629785 (q^36))/(9602924544 (π^5)))+((203091111135 (q^37))/(37168360952 (π^5)))+((224808214125 (q^38))/(42470050048 (π^5)))+((9752757905 (q^39))/(1791117432 (π^5)))+((4654540539 (q^40))/(878182400 (π^5)))+((1358124327945 (q^41))/(248395694944 (π^5)))+((41028081655 (q^42))/(7783388928 (π^5)))+((861101949015 (q^43))/(157593050896 (π^5)))+((937358272755 (q^44))/(176790192128 (π^5)))+((287143584091 (q^45))/(52750440000 (π^5)))+((2338950591945 (q^46))/(441584620544 (π^5)))+((1343388372645 (q^47))/(245857847504 (π^5)))+((480443556505 (q^48))/(91049951232 (π^5)))+((6622238196135 (q^49))/(1211253867712 (π^5)))+((709533691383 (q^50))/(134000000000 (π^5)))+((y^5)/5)+((7815 Gamma[5,4 π y])/(34304 (π^5) q))+((121055 Gamma[5,8 π y])/(548864 (π^5) (q^2)))+((472505 Gamma[5,12 π y])/(2083968 (π^5) (q^3)))+((7760295 Gamma[5,16 π y])/(35127296 (π^5) (q^4)))+((4882813 Gamma[5,20 π y])/(21440000 (π^5) (q^5)))+((9771355 Gamma[5,24 π y])/(44457984 (π^5) (q^6)))+((32813715 Gamma[5,28 π y])/(144136832 (π^5) (q^7)))+((124081375 Gamma[5,32 π y])/(562036736 (π^5) (q^8)))+((153192235 Gamma[5,36 π y])/(675205632 (π^5) (q^9)))+((37841793 Gamma[5,40 π y])/(171520000 (π^5) (q^10)))+((314655345 Gamma[5,44 π y])/(1381173376 (π^5) (q^11)))+((156399155 Gamma[5,48 π y])/(711327744 (π^5) (q^12)))+((362473815 Gamma[5,52 π y])/(1592104384 (π^5) (q^13)))+((2035752795 Gamma[5,56 π y])/(9224757248 (π^5) (q^14)))+((49235021 Gamma[5,60 π y])/(217080000 (π^5) (q^15)))+((7946299815 Gamma[5,64 π y])/(35970351104 (π^5) (q^16)))+((346533605 Gamma[5,68 π y])/(1522086704 (π^5) (q^17)))+((7118881385 Gamma[5,72 π y])/(32409870336 (π^5) (q^18)))+((4837680375 Gamma[5,76 π y])/(21235025024 (π^5) (q^19)))+((4848633309 Gamma[5,80 π y])/(21954560000 (π^5) (q^20)))+((882889205 Gamma[5,84 π y])/(3891694464 (π^5) (q^21)))+((443094315 Gamma[5,88 π y])/(2008979456 (π^5) (q^22)))+((12566957755 Gamma[5,92 π y])/(55198077568 (π^5) (q^23)))+((10015638875 Gamma[5,96 π y])/(45524975616 (π^5) (q^24)))+((15258789063 Gamma[5,100 π y])/(67000000000 (π^5) (q^25)))+((22487764095 Gamma[5,104 π y])/(101894680576 (π^5) (q^26)))+((13950710125 Gamma[5,108 π y])/(61528113216 (π^5) (q^27)))+((32584018995 Gamma[5,112 π y])/(147596115968 (π^5) (q^28)))+((80147318625 Gamma[5,116 π y])/(351807227648 (π^5) (q^29)))+((18315431563 Gamma[5,120 π y])/(83358720000 (π^5) (q^30)))+((6991775715 Gamma[5,124 π y])/(30690449872 (π^5) (q^31)))+((127059449055 Gamma[5,128 π y])/(575525617664 (π^5) (q^32)))+((4764455 Gamma[5,132 π y])/(21013344 (π^5) (q^33)))+((21498838365 Gamma[5,136 π y])/(97413549056 (π^5) (q^34)))+((10257567309 Gamma[5,140 π y])/(45042760000 (π^5) (q^35)))+((50706629785 Gamma[5,144 π y])/(230470189056 (π^5) (q^36)))+((67697037045 Gamma[5,148 π y])/(297346887616 (π^5) (q^37)))+((74936071375 Gamma[5,152 π y])/(339760400384 (π^5) (q^38)))+((9752757905 Gamma[5,156 π y])/(42986818368 (π^5) (q^39)))+((1551513513 Gamma[5,160 π y])/(7025459200 (π^5) (q^40)))+((452708109315 Gamma[5,164 π y])/(1987165559552 (π^5) (q^41)))+((41028081655 Gamma[5,168 π y])/(186801334272 (π^5) (q^42)))+((287033983005 Gamma[5,172 π y])/(1260744407168 (π^5) (q^43)))+((312452757585 Gamma[5,176 π y])/(1414321537024 (π^5) (q^44)))+((287143584091 Gamma[5,180 π y])/(1266010560000 (π^5) (q^45)))+((779650197315 Gamma[5,184 π y])/(3532676964352 (π^5) (q^46)))+((447796124215 Gamma[5,188 π y])/(1966862780032 (π^5) (q^47)))+((480443556505 Gamma[5,192 π y])/(2185198829568 (π^5) (q^48)))+((2207412732045 Gamma[5,196 π y])/(9690030941696 (π^5) (q^49)))+((236511230461 Gamma[5,200 π y])/(1072000000000 (π^5) (q^50)));
lv5ph4y3e2=-((46875 (q^(1/5)))/(4288 (Sqrt[2]) (π^5)))-((58609375 (q^(6/5)))/(5557248 (Sqrt[2]) (π^5)))-((1887328125 (q^(11/5)))/(172646672 (Sqrt[2]) (π^5)))-((47662546875 (q^(16/5)))/(4496293888 (Sqrt[2]) (π^5)))-((5295640625 (q^(21/5)))/(486461808 (Sqrt[2]) (π^5)))-((134883421875 (q^(26/5)))/(12736835072 (Sqrt[2]) (π^5)))-((41937234375 (q^(31/5)))/(3836306234 (Sqrt[2]) (π^5)))-((304142453125 (q^(36/5)))/(28808773632 (Sqrt[2]) (π^5)))-((2715379734375 (q^(41/5)))/(248395694944 (Sqrt[2]) (π^5)))-((4676404734375 (q^(46/5)))/(441584620544 (Sqrt[2]) (π^5)))-((167775953125 (q^(51/5)))/(15411127878 (Sqrt[2]) (π^5)))-((12515874609375 (q^(56/5)))/(1180768927744 (Sqrt[2]) (π^5)))-((19795225828125 (q^(61/5)))/(1810814469344 (Sqrt[2]) (π^5)))-((6500796875 (q^(66/5)))/(616391424 (Sqrt[2]) (π^5)))-((10571656359375 (q^(71/5)))/(967066932136 (Sqrt[2]) (π^5)))-((28813679296875 (q^(76/5)))/(2718083203072 (Sqrt[2]) (π^5)))-((54257723453125 (q^(81/5)))/(4983777170496 (Sqrt[2]) (π^5)))-((106810821140625 (q^(86/5)))/(10085955257344 (Sqrt[2]) (π^5)))-((36562109484375 (q^(91/5)))/(3344812297736 (Sqrt[2]) (π^5)))-((20505486203125 (q^(96/5)))/(1942398959616 (Sqrt[2]) (π^5)))-((246330480515625 (q^(101/5)))/(22533655474144 (Sqrt[2]) (π^5)))-((151922581078125 (q^(106/5)))/(14345778191872 (Sqrt[2]) (π^5)))-((3641761578125 (q^(111/5)))/(334515248568 (Sqrt[2]) (π^5)))-((477364967578125 (q^(116/5)))/(45031325138944 (Sqrt[2]) (π^5)))-((1215824327484375 (q^(121/5)))/(111219676689088 (Sqrt[2]) (π^5)))-((11397925484375 (q^(126/5)))/(1080779148288 (Sqrt[2]) (π^5)))-((452103394359375 (q^(131/5)))/(41357212905872 (Sqrt[2]) (π^5)))-((132175559765625 (q^(136/5)))/(12468934279168 (Sqrt[2]) (π^5)))-((216802700984375 (q^(141/5)))/(19914485647824 (Sqrt[2]) (π^5)))-((376554019640625 (q^(146/5)))/(35557323963136 (Sqrt[2]) (π^5)))-((459976908703125 (q^(151/5)))/(42077461002536 (Sqrt[2]) (π^5)))-((19362781109375 (q^(156/5)))/(1834104250368 (Sqrt[2]) (π^5)))-((1267607386546875 (q^(161/5)))/(115964261210672 (Sqrt[2]) (π^5)))-((2861959216453125 (q^(166/5)))/(270249700434944 (Sqrt[2]) (π^5)))-((568796924609375 (q^(171/5)))/(52246124693424 (Sqrt[2]) (π^5)))-((1919037124828125 (q^(176/5)))/(181033156739072 (Sqrt[2]) (π^5)))-((4553068239890625 (q^(181/5)))/(416502541067744 (Sqrt[2]) (π^5)))-((1691468453125 (q^(186/5)))/(160382350944 (Sqrt[2]) (π^5)))-((186177906703125 (q^(191/5)))/(17031058430717 (Sqrt[2]) (π^5)))-((13147557839015625 (q^(196/5)))/(1240323960537088 (Sqrt[2]) (π^5)))-((425430046421875 (q^(201/5)))/(39078021097008 (Sqrt[2]) (π^5)))-((8422850695359375 (q^(206/5)))/(795354756895744 (Sqrt[2]) (π^5)))-((4901100024046875 (q^(211/5)))/(448339560598672 (Sqrt[2]) (π^5)))-((1773702841796875 (q^(216/5)))/(168012767821824 (Sqrt[2]) (π^5)))-((386119023890625 (q^(221/5)))/(35321258661767 (Sqrt[2]) (π^5)))-((1673305387359375 (q^(226/5)))/(158007240976768 (Sqrt[2]) (π^5)))-((587378453125 (q^(231/5)))/(53956722204 (Sqrt[2]) (π^5)))-((8319373006640625 (q^(236/5)))/(784792420892672 (Sqrt[2]) (π^5)))-((19054453528171875 (q^(241/5)))/(1743050596878944 (Sqrt[2]) (π^5)))-((1131709931515625 (q^(246/5)))/(107306940215808 (Sqrt[2]) (π^5)))-((15515625 Gamma[5,((16 π y)/5)])/(35127296 (Sqrt[2]) (π^5) (q^(4/5))))-((918859375 Gamma[5,((36 π y)/5)])/(2025616896 (Sqrt[2]) (π^5) (q^(9/5))))-((4070203125 Gamma[5,((56 π y)/5)])/(9224757248 (Sqrt[2]) (π^5) (q^(14/5))))-((9672265625 Gamma[5,((76 π y)/5)])/(21235025024 (Sqrt[2]) (π^5) (q^(19/5))))-((60074609375 Gamma[5,((96 π y)/5)])/(136574926848 (Sqrt[2]) (π^5) (q^(24/5))))-((160243359375 Gamma[5,((116 π y)/5)])/(351807227648 (Sqrt[2]) (π^5) (q^(29/5))))-((42983921875 Gamma[5,((136 π y)/5)])/(97413549056 (Sqrt[2]) (π^5) (q^(34/5))))-((58497828125 Gamma[5,((156 π y)/5)])/(128960455104 (Sqrt[2]) (π^5) (q^(39/5))))-((624705609375 Gamma[5,((176 π y)/5)])/(1414321537024 (Sqrt[2]) (π^5) (q^(44/5))))-((4413413171875 Gamma[5,((196 π y)/5)])/(9690030941696 (Sqrt[2]) (π^5) (q^(49/5))))-((1730441796875 Gamma[5,((216 π y)/5)])/(3937799245824 (Sqrt[2]) (π^5) (q^(54/5))))-((2792673046875 Gamma[5,((236 π y)/5)])/(6131190788224 (Sqrt[2]) (π^5) (q^(59/5))))-((16268815515625 Gamma[5,((256 π y)/5)])/(36833639530496 (Sqrt[2]) (π^5) (q^(64/5))))-((6084354546875 Gamma[5,((276 π y)/5)])/(13413132849024 (Sqrt[2]) (π^5) (q^(69/5))))-((8397119671875 Gamma[5,((296 π y)/5)])/(19030200807424 (Sqrt[2]) (π^5) (q^(74/5))))-((3004937890625 Gamma[5,((316 π y)/5)])/(6597208919456 (Sqrt[2]) (π^5) (q^(79/5))))-((1752857046875 Gamma[5,((336 π y)/5)])/(3985095131136 (Sqrt[2]) (π^5) (q^(84/5))))-((43625464453125 Gamma[5,((356 π y)/5)])/(95777787669248 (Sqrt[2]) (π^5) (q^(89/5))))-((55544493640625 Gamma[5,((376 π y)/5)])/(125879217922048 (Sqrt[2]) (π^5) (q^(94/5))))-((12332011671875 Gamma[5,((396 π y)/5)])/(27185635559808 (Sqrt[2]) (π^5) (q^(99/5))))-((46085169140625 Gamma[5,((416 π y)/5)])/(104340152909824 (Sqrt[2]) (π^5) (q^(104/5))))-((120204996484375 Gamma[5,((436 π y)/5)])/(263904780744448 (Sqrt[2]) (π^5) (q^(109/5))))-((36280668359375 Gamma[5,((456 π y)/5)])/(82561777293312 (Sqrt[2]) (π^5) (q^(114/5))))-((11651415984375 Gamma[5,((476 π y)/5)])/(25581711234128 (Sqrt[2]) (π^5) (q^(119/5))))-((13881224578125 Gamma[5,((496 π y)/5)])/(31427020668928 (Sqrt[2]) (π^5) (q^(124/5))))-((46322972609375 Gamma[5,((516 π y)/5)])/(102120296980608 (Sqrt[2]) (π^5) (q^(129/5))))-((326983424109375 Gamma[5,((536 π y)/5)])/(741035066728448 (Sqrt[2]) (π^5) (q^(134/5))))-((202690799609375 Gamma[5,((556 π y)/5)])/(444998732138624 (Sqrt[2]) (π^5) (q^(139/5))))-((934297131359375 Gamma[5,((576 π y)/5)])/(2124013262340096 (Sqrt[2]) (π^5) (q^(144/5))))-((573748248046875 Gamma[5,((596 π y)/5)])/(1259639033646848 (Sqrt[2]) (π^5) (q^(149/5))))-((163878588421875 Gamma[5,((616 π y)/5)])/(371414094886912 (Sqrt[2]) (π^5) (q^(154/5))))-((197662713015625 Gamma[5,((636 π y)/5)])/(435753012578112 (Sqrt[2]) (π^5) (q^(159/5))))-((898790692078125 Gamma[5,((656 π y)/5)])/(2034857532981248 (Sqrt[2]) (π^5) (q^(164/5))))-((2154033133703125 Gamma[5,((676 π y)/5)])/(4729097704388096 (Sqrt[2]) (π^5) (q^(169/5))))-((200357613671875 Gamma[5,((696 π y)/5)])/(455942167031808 (Sqrt[2]) (π^5) (q^(174/5))))-((717835925390625 Gamma[5,((716 π y)/5)])/(1575977189405824 (Sqrt[2]) (π^5) (q^(179/5))))-((1597771617578125 Gamma[5,((736 π y)/5)])/(3617461211496448 (Sqrt[2]) (π^5) (q^(184/5))))-((156353789453125 Gamma[5,((756 π y)/5)])/(344700999607104 (Sqrt[2]) (π^5) (q^(189/5))))-((129984154265625 Gamma[5,((776 π y)/5)])/(294580120176128 (Sqrt[2]) (π^5) (q^(194/5))))-((609530470703125 Gamma[5,((796 π y)/5)])/(1338197329083712 (Sqrt[2]) (π^5) (q^(199/5))))-((55533840484375 Gamma[5,((816 π y)/5)])/(126247959576576 (Sqrt[2]) (π^5) (q^(204/5))))-((35403130078125 Gamma[5,((836 π y)/5)])/(77725500344096 (Sqrt[2]) (π^5) (q^(209/5))))-((3396804972546875 Gamma[5,((856 π y)/5)])/(7698101531189248 (Sqrt[2]) (π^5) (q^(214/5))))-((54436124703125 Gamma[5,((876 π y)/5)])/(120005968375584 (Sqrt[2]) (π^5) (q^(219/5))))-((610298467171875 Gamma[5,((896 π y)/5)])/(1381837008011264 (Sqrt[2]) (π^5) (q^(224/5))))-((4920026501171875 Gamma[5,((916 π y)/5)])/(10801701702139648 (Sqrt[2]) (π^5) (q^(229/5))))-((881343265578125 Gamma[5,((936 π y)/5)])/(2005592997777408 (Sqrt[2]) (π^5) (q^(234/5))))-((761534438671875 Gamma[5,((956 π y)/5)])/(1671915352586656 (Sqrt[2]) (π^5) (q^(239/5))))-((6552219749109375 Gamma[5,((976 π y)/5)])/(14834192132866048 (Sqrt[2]) (π^5) (q^(244/5))))-((3723624356890625 Gamma[5,((996 π y)/5)])/(8208834650711424 (Sqrt[2]) (π^5) (q^(249/5))));
lv5ph4y3e3=-((46546875 (q^(4/5)))/(4390912 (Sqrt[2]) (π^5)))-((918859375 (q^(9/5)))/(84400704 (Sqrt[2]) (π^5)))-((12210609375 (q^(14/5)))/(1153094656 (Sqrt[2]) (π^5)))-((29016796875 (q^(19/5)))/(2654378128 (Sqrt[2]) (π^5)))-((60074609375 (q^(24/5)))/(5690621952 (Sqrt[2]) (π^5)))-((480730078125 (q^(29/5)))/(43975903456 (Sqrt[2]) (π^5)))-((128951765625 (q^(34/5)))/(12176693632 (Sqrt[2]) (π^5)))-((58497828125 (q^(39/5)))/(5373352296 (Sqrt[2]) (π^5)))-((1874116828125 (q^(44/5)))/(176790192128 (Sqrt[2]) (π^5)))-((13240239515625 (q^(49/5)))/(1211253867712 (Sqrt[2]) (π^5)))-((1730441796875 (q^(54/5)))/(164074968576 (Sqrt[2]) (π^5)))-((8378019140625 (q^(59/5)))/(766398848528 (Sqrt[2]) (π^5)))-((48806446546875 (q^(64/5)))/(4604204941312 (Sqrt[2]) (π^5)))-((6084354546875 (q^(69/5)))/(558880535376 (Sqrt[2]) (π^5)))-((25191359015625 (q^(74/5)))/(2378775100928 (Sqrt[2]) (π^5)))-((9014813671875 (q^(79/5)))/(824651114932 (Sqrt[2]) (π^5)))-((1752857046875 (q^(84/5)))/(166045630464 (Sqrt[2]) (π^5)))-((130876393359375 (q^(89/5)))/(11972223458656 (Sqrt[2]) (π^5)))-((166633480921875 (q^(94/5)))/(15734902240256 (Sqrt[2]) (π^5)))-((12332011671875 (q^(99/5)))/(1132734814992 (Sqrt[2]) (π^5)))-((138255507421875 (q^(104/5)))/(13042519113728 (Sqrt[2]) (π^5)))-((360614989453125 (q^(109/5)))/(32988097593056 (Sqrt[2]) (π^5)))-((36280668359375 (q^(114/5)))/(3440074053888 (Sqrt[2]) (π^5)))-((34954247953125 (q^(119/5)))/(3197713904266 (Sqrt[2]) (π^5)))-((41643673734375 (q^(124/5)))/(3928377583616 (Sqrt[2]) (π^5)))-((46322972609375 (q^(129/5)))/(4255012374192 (Sqrt[2]) (π^5)))-((980950272328125 (q^(134/5)))/(92629383341056 (Sqrt[2]) (π^5)))-((608072398828125 (q^(139/5)))/(55624841517328 (Sqrt[2]) (π^5)))-((934297131359375 (q^(144/5)))/(88500552597504 (Sqrt[2]) (π^5)))-((1721244744140625 (q^(149/5)))/(157454879205856 (Sqrt[2]) (π^5)))-((491635765265625 (q^(154/5)))/(46426761860864 (Sqrt[2]) (π^5)))-((197662713015625 (q^(159/5)))/(18156375524088 (Sqrt[2]) (π^5)))-((2696372076234375 (q^(164/5)))/(254357191622656 (Sqrt[2]) (π^5)))-((6462099401109375 (q^(169/5)))/(591137213048512 (Sqrt[2]) (π^5)))-((200357613671875 (q^(174/5)))/(18997590292992 (Sqrt[2]) (π^5)))-((2153507776171875 (q^(179/5)))/(196997148675728 (Sqrt[2]) (π^5)))-((4793314852734375 (q^(184/5)))/(452182651437056 (Sqrt[2]) (π^5)))-((156353789453125 (q^(189/5)))/(14362541650296 (Sqrt[2]) (π^5)))-((389952462796875 (q^(194/5)))/(36822515022016 (Sqrt[2]) (π^5)))-((1828591412109375 (q^(199/5)))/(167274666135464 (Sqrt[2]) (π^5)))-((55533840484375 (q^(204/5)))/(5260331649024 (Sqrt[2]) (π^5)))-((106209390234375 (q^(209/5)))/(9715687543012 (Sqrt[2]) (π^5)))-((10190414917640625 (q^(214/5)))/(962262691398656 (Sqrt[2]) (π^5)))-((54436124703125 (q^(219/5)))/(5000248682316 (Sqrt[2]) (π^5)))-((1830895401515625 (q^(224/5)))/(172729626001408 (Sqrt[2]) (π^5)))-((14760079503515625 (q^(229/5)))/(1350212712767456 (Sqrt[2]) (π^5)))-((881343265578125 (q^(234/5)))/(83566374907392 (Sqrt[2]) (π^5)))-((2284603316015625 (q^(239/5)))/(208989419073332 (Sqrt[2]) (π^5)))-((19656659247328125 (q^(244/5)))/(1854274016608256 (Sqrt[2]) (π^5)))-((3723624356890625 (q^(249/5)))/(342034777112976 (Sqrt[2]) (π^5)))-((15625 Gamma[5,((4 π y)/5)])/(34304 (Sqrt[2]) (π^5) (q^(1/5))))-((58609375 Gamma[5,((24 π y)/5)])/(133373952 (Sqrt[2]) (π^5) (q^(6/5))))-((629109375 Gamma[5,((44 π y)/5)])/(1381173376 (Sqrt[2]) (π^5) (q^(11/5))))-((15887515625 Gamma[5,((64 π y)/5)])/(35970351104 (Sqrt[2]) (π^5) (q^(16/5))))-((5295640625 Gamma[5,((84 π y)/5)])/(11675083392 (Sqrt[2]) (π^5) (q^(21/5))))-((44961140625 Gamma[5,((104 π y)/5)])/(101894680576 (Sqrt[2]) (π^5) (q^(26/5))))-((13979078125 Gamma[5,((124 π y)/5)])/(30690449872 (Sqrt[2]) (π^5) (q^(31/5))))-((304142453125 Gamma[5,((144 π y)/5)])/(691410567168 (Sqrt[2]) (π^5) (q^(36/5))))-((905126578125 Gamma[5,((164 π y)/5)])/(1987165559552 (Sqrt[2]) (π^5) (q^(41/5))))-((1558801578125 Gamma[5,((184 π y)/5)])/(3532676964352 (Sqrt[2]) (π^5) (q^(46/5))))-((167775953125 Gamma[5,((204 π y)/5)])/(369867069072 (Sqrt[2]) (π^5) (q^(51/5))))-((4171958203125 Gamma[5,((224 π y)/5)])/(9446151421952 (Sqrt[2]) (π^5) (q^(56/5))))-((6598408609375 Gamma[5,((244 π y)/5)])/(14486515754752 (Sqrt[2]) (π^5) (q^(61/5))))-((6500796875 Gamma[5,((264 π y)/5)])/(14793394176 (Sqrt[2]) (π^5) (q^(66/5))))-((3523885453125 Gamma[5,((284 π y)/5)])/(7736535457088 (Sqrt[2]) (π^5) (q^(71/5))))-((9604559765625 Gamma[5,((304 π y)/5)])/(21744665624576 (Sqrt[2]) (π^5) (q^(76/5))))-((54257723453125 Gamma[5,((324 π y)/5)])/(119610652091904 (Sqrt[2]) (π^5) (q^(81/5))))-((35603607046875 Gamma[5,((344 π y)/5)])/(80687642058752 (Sqrt[2]) (π^5) (q^(86/5))))-((12187369828125 Gamma[5,((364 π y)/5)])/(26758498381888 (Sqrt[2]) (π^5) (q^(91/5))))-((20505486203125 Gamma[5,((384 π y)/5)])/(46617575030784 (Sqrt[2]) (π^5) (q^(96/5))))-((82110160171875 Gamma[5,((404 π y)/5)])/(180269243793152 (Sqrt[2]) (π^5) (q^(101/5))))-((50640860359375 Gamma[5,((424 π y)/5)])/(114766225534976 (Sqrt[2]) (π^5) (q^(106/5))))-((3641761578125 Gamma[5,((444 π y)/5)])/(8028365965632 (Sqrt[2]) (π^5) (q^(111/5))))-((159121655859375 Gamma[5,((464 π y)/5)])/(360250601111552 (Sqrt[2]) (π^5) (q^(116/5))))-((405274775828125 Gamma[5,((484 π y)/5)])/(889757413512704 (Sqrt[2]) (π^5) (q^(121/5))))-((11397925484375 Gamma[5,((504 π y)/5)])/(25938699558912 (Sqrt[2]) (π^5) (q^(126/5))))-((150701131453125 Gamma[5,((524 π y)/5)])/(330857703246976 (Sqrt[2]) (π^5) (q^(131/5))))-((44058519921875 Gamma[5,((544 π y)/5)])/(99751474233344 (Sqrt[2]) (π^5) (q^(136/5))))-((216802700984375 Gamma[5,((564 π y)/5)])/(477947655547776 (Sqrt[2]) (π^5) (q^(141/5))))-((125518006546875 Gamma[5,((584 π y)/5)])/(284458591705088 (Sqrt[2]) (π^5) (q^(146/5))))-((153325636234375 Gamma[5,((604 π y)/5)])/(336619688020288 (Sqrt[2]) (π^5) (q^(151/5))))-((19362781109375 Gamma[5,((624 π y)/5)])/(44018502008832 (Sqrt[2]) (π^5) (q^(156/5))))-((422535795515625 Gamma[5,((644 π y)/5)])/(927714089685376 (Sqrt[2]) (π^5) (q^(161/5))))-((953986405484375 Gamma[5,((664 π y)/5)])/(2161997603479552 (Sqrt[2]) (π^5) (q^(166/5))))-((568796924609375 Gamma[5,((684 π y)/5)])/(1253906992642176 (Sqrt[2]) (π^5) (q^(171/5))))-((639679041609375 Gamma[5,((704 π y)/5)])/(1448265253912576 (Sqrt[2]) (π^5) (q^(176/5))))-((1517689413296875 Gamma[5,((724 π y)/5)])/(3332020328541952 (Sqrt[2]) (π^5) (q^(181/5))))-((1691468453125 Gamma[5,((744 π y)/5)])/(3849176422656 (Sqrt[2]) (π^5) (q^(186/5))))-((62059302234375 Gamma[5,((764 π y)/5)])/(136248467445736 (Sqrt[2]) (π^5) (q^(191/5))))-((4382519279671875 Gamma[5,((784 π y)/5)])/(9922591684296704 (Sqrt[2]) (π^5) (q^(196/5))))-((425430046421875 Gamma[5,((804 π y)/5)])/(937872506328192 (Sqrt[2]) (π^5) (q^(201/5))))-((2807616898453125 Gamma[5,((824 π y)/5)])/(6362838055165952 (Sqrt[2]) (π^5) (q^(206/5))))-((1633700008015625 Gamma[5,((844 π y)/5)])/(3586716484789376 (Sqrt[2]) (π^5) (q^(211/5))))-((1773702841796875 Gamma[5,((864 π y)/5)])/(4032306427723776 (Sqrt[2]) (π^5) (q^(216/5))))-((128706341296875 Gamma[5,((884 π y)/5)])/(282570069294136 (Sqrt[2]) (π^5) (q^(221/5))))-((557768462453125 Gamma[5,((904 π y)/5)])/(1264057927814144 (Sqrt[2]) (π^5) (q^(226/5))))-((587378453125 Gamma[5,((924 π y)/5)])/(1294961332896 (Sqrt[2]) (π^5) (q^(231/5))))-((2773124335546875 Gamma[5,((944 π y)/5)])/(6278339367141376 (Sqrt[2]) (π^5) (q^(236/5))))-((6351484509390625 Gamma[5,((964 π y)/5)])/(13944404775031552 (Sqrt[2]) (π^5) (q^(241/5))))-((1131709931515625 Gamma[5,((984 π y)/5)])/(2575366565179392 (Sqrt[2]) (π^5) (q^(246/5))));

(Subscript[ρ, r])=3'

(Subscript[Y, 3']^((-4)))=(lv5ph4y3pe1,lv5ph4y3pe2,lv5ph4y3pe3)

lv5ph4y3pe1=-0.017247857248906224`-((11715 q)/(2144 (π^5)))-((726795 (q^2))/(137216 (π^5)))-((315205 (q^3))/(57888 (π^5)))-((11632995 (q^4))/(2195456 (π^5)))-((3662109 (q^5))/(670000 (π^5)))-((14647655 (q^6))/(2778624 (π^5)))-((197008335 (q^7))/(36034208 (π^5)))-((744964875 (q^8))/(140509184 (π^5)))-((229641335 (q^9))/(42200352 (π^5)))-((454101609 (q^10))/(85760000 (π^5)))-((42880095 (q^11))/(7847576 (π^5)))-((104332855 (q^12))/(19759104 (π^5)))-((2176235235 (q^13))/(398026096 (π^5)))-((3051675495 (q^14))/(576547328 (π^5)))-((590820373 (q^15))/(108540000 (π^5)))-((11911823715 (q^16))/(2248146944 (π^5)))-((2080532745 (q^17))/(380521676 (π^5)))-((4748959285 (q^18))/(900274176 (π^5)))-((7251877875 (q^19))/(1327189064 (π^5)))-((3636474237 (q^20))/(686080000 (π^5)))-((1323486505 (q^21))/(243230904 (π^5)))-((29262947085 (q^22))/(5524693504 (π^5)))-((75450019095 (q^23))/(13799519392 (π^5)))-((15013846375 (q^24))/(2845310976 (π^5)))-((22888183593 (q^25))/(4187500000 (π^5)))-((33710064795 (q^26))/(6368417536 (π^5)))-((9306427625 (q^27))/(1709114256 (π^5)))-((195629276655 (q^28))/(36899028992 (π^5)))-((120144061125 (q^29))/(21987951728 (π^5)))-((1526285651 (q^30))/(289440000 (π^5)))-((10480953615 (q^31))/(1918153117 (π^5)))-((762844758795 (q^32))/(143881404416 (π^5)))-((34961705 (q^33))/(6420744 (π^5)))-((32227625265 (q^34))/(6088346816 (π^5)))-((123090832917 (q^35))/(22521380000 (π^5)))-((76011281885 (q^36))/(14404386816 (π^5)))-((406442262105 (q^37))/(74336721904 (π^5)))-((449904274875 (q^38))/(84940100096 (π^5)))-((14619777205 (q^39))/(2686676148 (π^5)))-((18618165969 (q^40))/(3512729600 (π^5)))-((678627703215 (q^41))/(124197847472 (π^5)))-((27369565355 (q^42))/(5188925952 (π^5)))-((1723306461345 (q^43))/(315186101792 (π^5)))-((42579934335 (q^44))/(8035917824 (π^5)))-((23928627107 (q^45))/(4395870000 (π^5)))-((1168727071215 (q^46))/(220792310272 (π^5)))-((2688496832835 (q^47))/(491715695008 (π^5)))-((320500759205 (q^48))/(60699967488 (π^5)))-((3309000659745 (q^49))/(605626933856 (π^5)))-((1419067382859 (q^50))/(268000000000 (π^5)))+((y^5)/5)-((3905 Gamma[5,4 π y])/(17152 (π^5) q))-((242265 Gamma[5,8 π y])/(1097728 (π^5) (q^2)))-((315205 Gamma[5,12 π y])/(1389312 (π^5) (q^3)))-((3877665 Gamma[5,16 π y])/(17563648 (π^5) (q^4)))-((1220703 Gamma[5,20 π y])/(5360000 (π^5) (q^5)))-((14647655 Gamma[5,24 π y])/(66686976 (π^5) (q^6)))-((65669445 Gamma[5,28 π y])/(288273664 (π^5) (q^7)))-((248321625 Gamma[5,32 π y])/(1124073472 (π^5) (q^8)))-((229641335 Gamma[5,36 π y])/(1012808448 (π^5) (q^9)))-((151367203 Gamma[5,40 π y])/(686080000 (π^5) (q^10)))-((14293365 Gamma[5,44 π y])/(62780608 (π^5) (q^11)))-((104332855 Gamma[5,48 π y])/(474218496 (π^5) (q^12)))-((725411745 Gamma[5,52 π y])/(3184208768 (π^5) (q^13)))-((1017225165 Gamma[5,56 π y])/(4612378624 (π^5) (q^14)))-((590820373 Gamma[5,60 π y])/(2604960000 (π^5) (q^15)))-((3970607905 Gamma[5,64 π y])/(17985175552 (π^5) (q^16)))-((693510915 Gamma[5,68 π y])/(3044173408 (π^5) (q^17)))-((4748959285 Gamma[5,72 π y])/(21606580224 (π^5) (q^18)))-((2417292625 Gamma[5,76 π y])/(10617512512 (π^5) (q^19)))-((1212158079 Gamma[5,80 π y])/(5488640000 (π^5) (q^20)))-((1323486505 Gamma[5,84 π y])/(5837541696 (π^5) (q^21)))-((9754315695 Gamma[5,88 π y])/(44197548032 (π^5) (q^22)))-((25150006365 Gamma[5,92 π y])/(110396155136 (π^5) (q^23)))-((15013846375 Gamma[5,96 π y])/(68287463424 (π^5) (q^24)))-((7629394531 Gamma[5,100 π y])/(33500000000 (π^5) (q^25)))-((11236688265 Gamma[5,104 π y])/(50947340288 (π^5) (q^26)))-((9306427625 Gamma[5,108 π y])/(41018742144 (π^5) (q^27)))-((65209758885 Gamma[5,112 π y])/(295192231936 (π^5) (q^28)))-((40048020375 Gamma[5,116 π y])/(175903613824 (π^5) (q^29)))-((1526285651 Gamma[5,120 π y])/(6946560000 (π^5) (q^30)))-((3493651205 Gamma[5,124 π y])/(15345224936 (π^5) (q^31)))-((254281586265 Gamma[5,128 π y])/(1151051235328 (π^5) (q^32)))-((34961705 Gamma[5,132 π y])/(154097856 (π^5) (q^33)))-((10742541755 Gamma[5,136 π y])/(48706774528 (π^5) (q^34)))-((41030277639 Gamma[5,140 π y])/(180171040000 (π^5) (q^35)))-((76011281885 Gamma[5,144 π y])/(345705283584 (π^5) (q^36)))-((135480754035 Gamma[5,148 π y])/(594693775232 (π^5) (q^37)))-((149968091625 Gamma[5,152 π y])/(679520800768 (π^5) (q^38)))-((14619777205 Gamma[5,156 π y])/(64480227552 (π^5) (q^39)))-((6206055323 Gamma[5,160 π y])/(28101836800 (π^5) (q^40)))-((226209234405 Gamma[5,164 π y])/(993582779776 (π^5) (q^41)))-((27369565355 Gamma[5,168 π y])/(124534222848 (π^5) (q^42)))-((574435487115 Gamma[5,172 π y])/(2521488814336 (π^5) (q^43)))-((14193311445 Gamma[5,176 π y])/(64287342592 (π^5) (q^44)))-((23928627107 Gamma[5,180 π y])/(105500880000 (π^5) (q^45)))-((389575690405 Gamma[5,184 π y])/(1766338482176 (π^5) (q^46)))-((896165610945 Gamma[5,188 π y])/(3933725560064 (π^5) (q^47)))-((320500759205 Gamma[5,192 π y])/(1456799219712 (π^5) (q^48)))-((1103000219915 Gamma[5,196 π y])/(4845015470848 (π^5) (q^49)))-((473022460953 Gamma[5,200 π y])/(2144000000000 (π^5) (q^50)));
lv5ph4y3pe2=((1453125 (q^(2/5)))/(137216 (Sqrt[2]) (π^5)))+((393890625 (q^(7/5)))/(36034208 (Sqrt[2]) (π^5)))+((625796875 (q^(12/5)))/(59277312 (Sqrt[2]) (π^5)))+((4159734375 (q^(17/5)))/(380521676 (Sqrt[2]) (π^5)))+((58507171875 (q^(22/5)))/(5524693504 (Sqrt[2]) (π^5)))+((55820703125 (q^(27/5)))/(5127342768 (Sqrt[2]) (π^5)))+((1525201453125 (q^(32/5)))/(143881404416 (Sqrt[2]) (π^5)))+((812624484375 (q^(37/5)))/(74336721904 (Sqrt[2]) (π^5)))+((164164859375 (q^(42/5)))/(15566777856 (Sqrt[2]) (π^5)))+((5375273578125 (q^(47/5)))/(491715695008 (Sqrt[2]) (π^5)))+((4320620578125 (q^(52/5)))/(407578722304 (Sqrt[2]) (π^5)))+((1170344140625 (q^(57/5)))/(107502314184 (Sqrt[2]) (π^5)))+((41937234375 (q^(62/5)))/(3960058048 (Sqrt[2]) (π^5)))+((31643557171875 (q^(67/5)))/(2894668229408 (Sqrt[2]) (π^5)))+((29196756640625 (q^(72/5)))/(2765642268672 (Sqrt[2]) (π^5)))+((15859218234375 (q^(77/5)))/(1450836308152 (Sqrt[2]) (π^5)))+((84176771765625 (q^(82/5)))/(7948662238208 (Sqrt[2]) (π^5)))+((6463148828125 (q^(87/5)))/(593674696656 (Sqrt[2]) (π^5)))+((149795803265625 (q^(92/5)))/(14130707857408 (Sqrt[2]) (π^5)))+((12579111703125 (q^(97/5)))/(1150703594438 (Sqrt[2]) (π^5)))+((5201054546875 (q^(102/5)))/(493156092096 (Sqrt[2]) (π^5)))+((328723061859375 (q^(107/5)))/(30070709106208 (Sqrt[2]) (π^5)))+((400508381390625 (q^(112/5)))/(37784605687808 (Sqrt[2]) (π^5)))+((28430427921875 (q^(117/5)))/(2611449215856 (Sqrt[2]) (π^5)))+((613652000671875 (q^(122/5)))/(57946063019008 (Sqrt[2]) (π^5)))+((774336782953125 (q^(127/5)))/(70834264008608 (Sqrt[2]) (π^5)))+((69411734375 (q^(132/5)))/(6574841856 (Sqrt[2]) (π^5)))+((282783541734375 (q^(137/5)))/(25868284308952 (Sqrt[2]) (π^5)))+((327721347140625 (q^(142/5)))/(30946141828352 (Sqrt[2]) (π^5)))+((534022993796875 (q^(147/5)))/(49055781642336 (Sqrt[2]) (π^5)))+((922008720703125 (q^(152/5)))/(86978662498304 (Sqrt[2]) (π^5)))+((1117839756515625 (q^(157/5)))/(102257000021104 (Sqrt[2]) (π^5)))+((1681989427046875 (q^(162/5)))/(159480869455872 (Sqrt[2]) (π^5)))+((3044343412640625 (q^(167/5)))/(278488417141408 (Sqrt[2]) (π^5)))+((3421391786859375 (q^(172/5)))/(322750568235008 (Sqrt[2]) (π^5)))+((112637812890625 (q^(177/5)))/(10346384455128 (Sqrt[2]) (π^5)))+((1133425394015625 (q^(182/5)))/(107033993527552 (Sqrt[2]) (π^5)))+((167483385140625 (q^(187/5)))/(15320849110369 (Sqrt[2]) (π^5)))+((1968526677390625 (q^(192/5)))/(186470300123136 (Sqrt[2]) (π^5)))+((3477061883859375 (q^(197/5)))/(318072348971504 (Sqrt[2]) (π^5)))+((7636244895984375 (q^(202/5)))/(721076975172608 (Sqrt[2]) (π^5)))+((2957046593703125 (q^(207/5)))/(271615940192736 (Sqrt[2]) (π^5)))+((4866423322921875 (q^(212/5)))/(459064902139904 (Sqrt[2]) (π^5)))+((352398580453125 (q^(217/5)))/(32238399437419 (Sqrt[2]) (π^5)))+((112894608921875 (q^(222/5)))/(10704487954176 (Sqrt[2]) (π^5)))+((14126695075921875 (q^(227/5)))/(1292272394360608 (Sqrt[2]) (π^5)))+((15275198232421875 (q^(232/5)))/(1441002404446208 (Sqrt[2]) (π^5)))+((363597484765625 (q^(237/5)))/(33398370154746 (Sqrt[2]) (π^5)))+((37690554152015625 (q^(242/5)))/(3559029654050816 (Sqrt[2]) (π^5)))+((2693426136328125 (q^(247/5)))/(246388004569876 (Sqrt[2]) (π^5)))+((1890625 Gamma[5,((12 π y)/5)])/(4167936 (Sqrt[2]) (π^5) (q^(3/5))))+((496484375 Gamma[5,((32 π y)/5)])/(1124073472 (Sqrt[2]) (π^5) (q^(8/5))))+((1450359375 Gamma[5,((52 π y)/5)])/(3184208768 (Sqrt[2]) (π^5) (q^(13/5))))+((28484640625 Gamma[5,((72 π y)/5)])/(64819740672 (Sqrt[2]) (π^5) (q^(18/5))))+((50283921875 Gamma[5,((92 π y)/5)])/(110396155136 (Sqrt[2]) (π^5) (q^(23/5))))+((130377796875 Gamma[5,((112 π y)/5)])/(295192231936 (Sqrt[2]) (π^5) (q^(28/5))))+((209703125 Gamma[5,((132 π y)/5)])/(462293568 (Sqrt[2]) (π^5) (q^(33/5))))+((299840234375 Gamma[5,((152 π y)/5)])/(679520800768 (Sqrt[2]) (π^5) (q^(38/5))))+((1148503453125 Gamma[5,((172 π y)/5)])/(2521488814336 (Sqrt[2]) (π^5) (q^(43/5))))+((1922389390625 Gamma[5,((192 π y)/5)])/(4370397659136 (Sqrt[2]) (π^5) (q^(48/5))))+((1633576140625 Gamma[5,((212 π y)/5)])/(3586444547968 (Sqrt[2]) (π^5) (q^(53/5))))+((4967544140625 Gamma[5,((232 π y)/5)])/(11257831284736 (Sqrt[2]) (π^5) (q^(58/5))))+((367675015625 Gamma[5,((252 π y)/5)])/(810584361216 (Sqrt[2]) (π^5) (q^(63/5))))+((1376872078125 Gamma[5,((272 π y)/5)])/(3117233569792 (Sqrt[2]) (π^5) (q^(68/5))))+((4048967953125 Gamma[5,((292 π y)/5)])/(8889330990784 (Sqrt[2]) (π^5) (q^(73/5))))+((1813432671875 Gamma[5,((312 π y)/5)])/(4126734563328 (Sqrt[2]) (π^5) (q^(78/5))))+((30773755015625 Gamma[5,((332 π y)/5)])/(67562425108736 (Sqrt[2]) (π^5) (q^(83/5))))+((19989950390625 Gamma[5,((352 π y)/5)])/(45258289184768 (Sqrt[2]) (π^5) (q^(88/5))))+((1691468453125 Gamma[5,((372 π y)/5)])/(3728889659448 (Sqrt[2]) (π^5) (q^(93/5))))+((136815808328125 Gamma[5,((392 π y)/5)])/(310080990134272 (Sqrt[2]) (π^5) (q^(98/5))))+((90568287046875 Gamma[5,((412 π y)/5)])/(198838689223936 (Sqrt[2]) (π^5) (q^(103/5))))+((18476652734375 Gamma[5,((432 π y)/5)])/(42003191955456 (Sqrt[2]) (π^5) (q^(108/5))))+((17992531046875 Gamma[5,((452 π y)/5)])/(39501810244192 (Sqrt[2]) (π^5) (q^(113/5))))+((86572864453125 Gamma[5,((472 π y)/5)])/(196198105223168 (Sqrt[2]) (π^5) (q^(118/5))))+((36506771984375 Gamma[5,((492 π y)/5)])/(80480205161856 (Sqrt[2]) (π^5) (q^(123/5))))+((520602096484375 Gamma[5,((512 π y)/5)])/(1178676464975872 (Sqrt[2]) (π^5) (q^(128/5))))+((81276048046875 Gamma[5,((532 π y)/5)])/(178448532789184 (Sqrt[2]) (π^5) (q^(133/5))))+((188614990953125 Gamma[5,((552 π y)/5)])/(429220251168768 (Sqrt[2]) (π^5) (q^(138/5))))+((58395819515625 Gamma[5,((572 π y)/5)])/(128205001573792 (Sqrt[2]) (π^5) (q^(143/5))))+((268978704328125 Gamma[5,((592 π y)/5)])/(608966425837568 (Sqrt[2]) (π^5) (q^(148/5))))+((81540499796875 Gamma[5,((612 π y)/5)])/(179755395568992 (Sqrt[2]) (π^5) (q^(153/5))))+((93153074609375 Gamma[5,((632 π y)/5)])/(211110685422592 (Sqrt[2]) (π^5) (q^(158/5))))+((898934508140625 Gamma[5,((652 π y)/5)])/(1973571159521536 (Sqrt[2]) (π^5) (q^(163/5))))+((168268980859375 Gamma[5,((672 π y)/5)])/(382569132589056 (Sqrt[2]) (π^5) (q^(168/5))))+((605327703484375 Gamma[5,((692 π y)/5)])/(1328970338589568 (Sqrt[2]) (π^5) (q^(173/5))))+((1352389398046875 Gamma[5,((712 π y)/5)])/(3064889205415936 (Sqrt[2]) (π^5) (q^(178/5))))+((798407441734375 Gamma[5,((732 π y)/5)])/(1760111664202368 (Sqrt[2]) (π^5) (q^(183/5))))+((1779215554359375 Gamma[5,((752 π y)/5)])/(4028134973505536 (Sqrt[2]) (π^5) (q^(188/5))))+((65377242234375 Gamma[5,((772 π y)/5)])/(143532858727448 (Sqrt[2]) (π^5) (q^(193/5))))+((382292361828125 Gamma[5,((792 π y)/5)])/(869940337913856 (Sqrt[2]) (π^5) (q^(198/5))))+((1346524948828125 Gamma[5,((812 π y)/5)])/(2956412037539968 (Sqrt[2]) (π^5) (q^(203/5))))+((1474726862859375 Gamma[5,((832 π y)/5)])/(3338884893114368 (Sqrt[2]) (π^5) (q^(208/5))))+((47376682203125 Gamma[5,((852 π y)/5)])/(104443228670688 (Sqrt[2]) (π^5) (q^(213/5))))+((3726354891015625 Gamma[5,((872 π y)/5)])/(8444952983822336 (Sqrt[2]) (π^5) (q^(218/5))))+((4308383416734375 Gamma[5,((892 π y)/5)])/(9458866222587136 (Sqrt[2]) (π^5) (q^(223/5))))+((387383910546875 Gamma[5,((912 π y)/5)])/(880658957795328 (Sqrt[2]) (π^5) (q^(228/5))))+((1341249719515625 Gamma[5,((932 π y)/5)])/(2944654744213184 (Sqrt[2]) (π^5) (q^(233/5))))+((361193895515625 Gamma[5,((952 π y)/5)])/(818614759492096 (Sqrt[2]) (π^5) (q^(238/5))))+((6592313399546875 Gamma[5,((972 π y)/5)])/(14532694229166336 (Sqrt[2]) (π^5) (q^(243/5))))+((14328555078125 Gamma[5,((992 π y)/5)])/(32440795529216 (Sqrt[2]) (π^5) (q^(248/5))));
lv5ph4y3pe3=((1890625 (q^(3/5)))/(173664 (Sqrt[2]) (π^5)))+((1489453125 (q^(8/5)))/(140509184 (Sqrt[2]) (π^5)))+((4351078125 (q^(13/5)))/(398026096 (Sqrt[2]) (π^5)))+((28484640625 (q^(18/5)))/(2700822528 (Sqrt[2]) (π^5)))+((150851765625 (q^(23/5)))/(13799519392 (Sqrt[2]) (π^5)))+((391133390625 (q^(28/5)))/(36899028992 (Sqrt[2]) (π^5)))+((209703125 (q^(33/5)))/(19262232 (Sqrt[2]) (π^5)))+((899520703125 (q^(38/5)))/(84940100096 (Sqrt[2]) (π^5)))+((3445510359375 (q^(43/5)))/(315186101792 (Sqrt[2]) (π^5)))+((1922389390625 (q^(48/5)))/(182099902464 (Sqrt[2]) (π^5)))+((4900728421875 (q^(53/5)))/(448305568496 (Sqrt[2]) (π^5)))+((14902632421875 (q^(58/5)))/(1407228910592 (Sqrt[2]) (π^5)))+((367675015625 (q^(63/5)))/(33774348384 (Sqrt[2]) (π^5)))+((4130616234375 (q^(68/5)))/(389654196224 (Sqrt[2]) (π^5)))+((12146903859375 (q^(73/5)))/(1111166373848 (Sqrt[2]) (π^5)))+((1813432671875 (q^(78/5)))/(171947273472 (Sqrt[2]) (π^5)))+((92321265046875 (q^(83/5)))/(8445303138592 (Sqrt[2]) (π^5)))+((59969851171875 (q^(88/5)))/(5657286148096 (Sqrt[2]) (π^5)))+((1691468453125 (q^(93/5)))/(155370402477 (Sqrt[2]) (π^5)))+((410447424984375 (q^(98/5)))/(38760123766784 (Sqrt[2]) (π^5)))+((271704861140625 (q^(103/5)))/(24854836152992 (Sqrt[2]) (π^5)))+((18476652734375 (q^(108/5)))/(1750132998144 (Sqrt[2]) (π^5)))+((53977593140625 (q^(113/5)))/(4937726280524 (Sqrt[2]) (π^5)))+((259718593359375 (q^(118/5)))/(24524763152896 (Sqrt[2]) (π^5)))+((36506771984375 (q^(123/5)))/(3353341881744 (Sqrt[2]) (π^5)))+((1561806289453125 (q^(128/5)))/(147334558121984 (Sqrt[2]) (π^5)))+((243828144140625 (q^(133/5)))/(22306066598648 (Sqrt[2]) (π^5)))+((188614990953125 (q^(138/5)))/(17884177132032 (Sqrt[2]) (π^5)))+((175187458546875 (q^(143/5)))/(16025625196724 (Sqrt[2]) (π^5)))+((806936112984375 (q^(148/5)))/(76120803229696 (Sqrt[2]) (π^5)))+((81540499796875 (q^(153/5)))/(7489808148708 (Sqrt[2]) (π^5)))+((279459223828125 (q^(158/5)))/(26388835677824 (Sqrt[2]) (π^5)))+((2696803524421875 (q^(163/5)))/(246696394940192 (Sqrt[2]) (π^5)))+((168268980859375 (q^(168/5)))/(15940380524544 (Sqrt[2]) (π^5)))+((1815983110453125 (q^(173/5)))/(166121292323696 (Sqrt[2]) (π^5)))+((4057168194140625 (q^(178/5)))/(383111150676992 (Sqrt[2]) (π^5)))+((798407441734375 (q^(183/5)))/(73337986008432 (Sqrt[2]) (π^5)))+((5337646663078125 (q^(188/5)))/(503516871688192 (Sqrt[2]) (π^5)))+((196131726703125 (q^(193/5)))/(17941607340931 (Sqrt[2]) (π^5)))+((382292361828125 (q^(198/5)))/(36247514079744 (Sqrt[2]) (π^5)))+((4039574846484375 (q^(203/5)))/(369551504692496 (Sqrt[2]) (π^5)))+((4424180588578125 (q^(208/5)))/(417360611639296 (Sqrt[2]) (π^5)))+((47376682203125 (q^(213/5)))/(4351801194612 (Sqrt[2]) (π^5)))+((11179064673046875 (q^(218/5)))/(1055619122977792 (Sqrt[2]) (π^5)))+((12925150250203125 (q^(223/5)))/(1182358277823392 (Sqrt[2]) (π^5)))+((387383910546875 (q^(228/5)))/(36694123241472 (Sqrt[2]) (π^5)))+((4023749158546875 (q^(233/5)))/(368081843026648 (Sqrt[2]) (π^5)))+((1083581686546875 (q^(238/5)))/(102326844936512 (Sqrt[2]) (π^5)))+((6592313399546875 (q^(243/5)))/(605528926215264 (Sqrt[2]) (π^5)))+((42985665234375 (q^(248/5)))/(4055099441152 (Sqrt[2]) (π^5)))+((484375 Gamma[5,((8 π y)/5)])/(1097728 (Sqrt[2]) (π^5) (q^(2/5))))+((131296875 Gamma[5,((28 π y)/5)])/(288273664 (Sqrt[2]) (π^5) (q^(7/5))))+((625796875 Gamma[5,((48 π y)/5)])/(1422655488 (Sqrt[2]) (π^5) (q^(12/5))))+((1386578125 Gamma[5,((68 π y)/5)])/(3044173408 (Sqrt[2]) (π^5) (q^(17/5))))+((19502390625 Gamma[5,((88 π y)/5)])/(44197548032 (Sqrt[2]) (π^5) (q^(22/5))))+((55820703125 Gamma[5,((108 π y)/5)])/(123056226432 (Sqrt[2]) (π^5) (q^(27/5))))+((508400484375 Gamma[5,((128 π y)/5)])/(1151051235328 (Sqrt[2]) (π^5) (q^(32/5))))+((270874828125 Gamma[5,((148 π y)/5)])/(594693775232 (Sqrt[2]) (π^5) (q^(37/5))))+((164164859375 Gamma[5,((168 π y)/5)])/(373602668544 (Sqrt[2]) (π^5) (q^(42/5))))+((1791757859375 Gamma[5,((188 π y)/5)])/(3933725560064 (Sqrt[2]) (π^5) (q^(47/5))))+((1440206859375 Gamma[5,((208 π y)/5)])/(3260629778432 (Sqrt[2]) (π^5) (q^(52/5))))+((1170344140625 Gamma[5,((228 π y)/5)])/(2580055540416 (Sqrt[2]) (π^5) (q^(57/5))))+((13979078125 Gamma[5,((248 π y)/5)])/(31680464384 (Sqrt[2]) (π^5) (q^(62/5))))+((10547852390625 Gamma[5,((268 π y)/5)])/(23157345835264 (Sqrt[2]) (π^5) (q^(67/5))))+((29196756640625 Gamma[5,((288 π y)/5)])/(66375414448128 (Sqrt[2]) (π^5) (q^(72/5))))+((5286406078125 Gamma[5,((308 π y)/5)])/(11606690465216 (Sqrt[2]) (π^5) (q^(77/5))))+((28058923921875 Gamma[5,((328 π y)/5)])/(63589297905664 (Sqrt[2]) (π^5) (q^(82/5))))+((6463148828125 Gamma[5,((348 π y)/5)])/(14248192719744 (Sqrt[2]) (π^5) (q^(87/5))))+((49931934421875 Gamma[5,((368 π y)/5)])/(113045662859264 (Sqrt[2]) (π^5) (q^(92/5))))+((4193037234375 Gamma[5,((388 π y)/5)])/(9205628755504 (Sqrt[2]) (π^5) (q^(97/5))))+((5201054546875 Gamma[5,((408 π y)/5)])/(11835746210304 (Sqrt[2]) (π^5) (q^(102/5))))+((109574353953125 Gamma[5,((428 π y)/5)])/(240565672849664 (Sqrt[2]) (π^5) (q^(107/5))))+((133502793796875 Gamma[5,((448 π y)/5)])/(302276845502464 (Sqrt[2]) (π^5) (q^(112/5))))+((28430427921875 Gamma[5,((468 π y)/5)])/(62674781180544 (Sqrt[2]) (π^5) (q^(117/5))))+((204550666890625 Gamma[5,((488 π y)/5)])/(463568504152064 (Sqrt[2]) (π^5) (q^(122/5))))+((258112260984375 Gamma[5,((508 π y)/5)])/(566674112068864 (Sqrt[2]) (π^5) (q^(127/5))))+((69411734375 Gamma[5,((528 π y)/5)])/(157796204544 (Sqrt[2]) (π^5) (q^(132/5))))+((94261180578125 Gamma[5,((548 π y)/5)])/(206946274471616 (Sqrt[2]) (π^5) (q^(137/5))))+((109240449046875 Gamma[5,((568 π y)/5)])/(247569134626816 (Sqrt[2]) (π^5) (q^(142/5))))+((534022993796875 Gamma[5,((588 π y)/5)])/(1177338759416064 (Sqrt[2]) (π^5) (q^(147/5))))+((307336240234375 Gamma[5,((608 π y)/5)])/(695829299986432 (Sqrt[2]) (π^5) (q^(152/5))))+((372613252171875 Gamma[5,((628 π y)/5)])/(818056000168832 (Sqrt[2]) (π^5) (q^(157/5))))+((1681989427046875 Gamma[5,((648 π y)/5)])/(3827540866940928 (Sqrt[2]) (π^5) (q^(162/5))))+((1014781137546875 Gamma[5,((668 π y)/5)])/(2227907337131264 (Sqrt[2]) (π^5) (q^(167/5))))+((1140463928953125 Gamma[5,((688 π y)/5)])/(2582004545880064 (Sqrt[2]) (π^5) (q^(172/5))))+((112637812890625 Gamma[5,((708 π y)/5)])/(248313226923072 (Sqrt[2]) (π^5) (q^(177/5))))+((377808464671875 Gamma[5,((728 π y)/5)])/(856271948220416 (Sqrt[2]) (π^5) (q^(182/5))))+((55827795046875 Gamma[5,((748 π y)/5)])/(122566792882952 (Sqrt[2]) (π^5) (q^(187/5))))+((1968526677390625 Gamma[5,((768 π y)/5)])/(4475287202955264 (Sqrt[2]) (π^5) (q^(192/5))))+((1159020627953125 Gamma[5,((788 π y)/5)])/(2544578791772032 (Sqrt[2]) (π^5) (q^(197/5))))+((2545414965328125 Gamma[5,((808 π y)/5)])/(5768615801380864 (Sqrt[2]) (π^5) (q^(202/5))))+((2957046593703125 Gamma[5,((828 π y)/5)])/(6518782564625664 (Sqrt[2]) (π^5) (q^(207/5))))+((1622141107640625 Gamma[5,((848 π y)/5)])/(3672519217119232 (Sqrt[2]) (π^5) (q^(212/5))))+((117466193484375 Gamma[5,((868 π y)/5)])/(257907195499352 (Sqrt[2]) (π^5) (q^(217/5))))+((112894608921875 Gamma[5,((888 π y)/5)])/(256907710900224 (Sqrt[2]) (π^5) (q^(222/5))))+((4708898358640625 Gamma[5,((908 π y)/5)])/(10338179154884864 (Sqrt[2]) (π^5) (q^(227/5))))+((5091732744140625 Gamma[5,((928 π y)/5)])/(11528019235569664 (Sqrt[2]) (π^5) (q^(232/5))))+((363597484765625 Gamma[5,((948 π y)/5)])/(801560883713904 (Sqrt[2]) (π^5) (q^(237/5))))+((12563518050671875 Gamma[5,((968 π y)/5)])/(28472237232406528 (Sqrt[2]) (π^5) (q^(242/5))))+((897808712109375 Gamma[5,((988 π y)/5)])/(1971104036559008 (Sqrt[2]) (π^5) (q^(247/5))));

(Subscript[ρ, r])=5

(Subscript[Y, 5]^((-4)))=(lv5ph4y5e1,lv5ph4y5e2,lv5ph4y5e3,lv5ph4y5e4,lv5ph4y5e5)

lv5ph4y5e1=-0.007992880519988832`-((4689 q)/(1984 (π^5)))-((154737 (q^2))/(63488 (π^5)))-((31781 (q^3))/(13392 (π^5)))-((4956273 (q^4))/(2031616 (π^5)))-((14629689 (q^5))/(6200000 (π^5)))-((349591 (q^6))/(142848 (π^5)))-((9851589 (q^7))/(4168136 (π^5)))-((158605425 (q^8))/(65011712 (π^5)))-((30891653 (q^9))/(13017024 (π^5)))-((482779737 (q^10))/(198400000 (π^5)))-((188793207 (q^11))/(79881296 (π^5)))-((33592517 (q^12))/(13713408 (π^5)))-((870498783 (q^13))/(368322656 (π^5)))-((325102437 (q^14))/(133380352 (π^5)))-((99156781 (q^15))/(41850000 (π^5)))-((5075378289 (q^16))/(2080374784 (π^5)))-((3328857081 (q^17))/(1408498144 (π^5)))-((339808183 (q^18))/(138848256 (π^5)))-((2902608225 (q^19))/(1228145104 (π^5)))-((15463581273 (q^20))/(6348800000 (π^5)))-((66771881 (q^21))/(28134918 (π^5)))-((566379621 (q^22))/(232381952 (π^5)))-((121693617 (q^23))/(51490744 (π^5)))-((358330775 (q^24))/(146276352 (π^5)))-((45717754689 (q^25))/(19375000000 (π^5)))-((28726459839 (q^26))/(11786324992 (π^5)))-((938334025 (q^27))/(395392104 (π^5)))-((1487589939 (q^28))/(609738752 (π^5)))-((1551238425 (q^29))/(656356768 (π^5)))-((1090724591 (q^30))/(446400000 (π^5)))-((4195065429 (q^31))/(1775007362 (π^5)))-((162412109937 (q^32))/(66571993088 (π^5)))-((426532801 (q^33))/(179732916 (π^5)))-((109852283673 (q^34))/(45071940608 (π^5)))-((30736976589 (q^35))/(13025425000 (π^5)))-((32652477221 (q^36))/(13329432576 (π^5)))-((162576909531 (q^37))/(68789205344 (π^5)))-((95786071425 (q^38))/(39300643328 (π^5)))-((5900047307 (q^39))/(2486177928 (π^5)))-((19793969217 (q^40))/(8126464000 (π^5)))-((271624865589 (q^41))/(114929351392 (π^5)))-((734490691 (q^42))/(300105792 (π^5)))-((172330648479 (q^43))/(72916187728 (π^5)))-((199554419799 (q^44))/(81798447104 (π^5)))-((96382016653 (q^45))/(40678200000 (π^5)))-((4015889361 (q^46))/(1647703808 (π^5)))-((67212421407 (q^47))/(28438780868 (π^5)))-((34399786181 (q^48))/(14042529792 (π^5)))-((42729201783 (q^49))/(18078415936 (π^5)))-((1508685904737 (q^50))/(620000000000 (π^5)))+((y^5)/5)-((1563 Gamma[5,4 π y])/(15872 (π^5) q))-((51579 Gamma[5,8 π y])/(507904 (π^5) (q^2)))-((31781 Gamma[5,12 π y])/(321408 (π^5) (q^3)))-((1652091 Gamma[5,16 π y])/(16252928 (π^5) (q^4)))-((4876563 Gamma[5,20 π y])/(49600000 (π^5) (q^5)))-((349591 Gamma[5,24 π y])/(3428352 (π^5) (q^6)))-((3283863 Gamma[5,28 π y])/(33345088 (π^5) (q^7)))-((52868475 Gamma[5,32 π y])/(520093696 (π^5) (q^8)))-((30891653 Gamma[5,36 π y])/(312408576 (π^5) (q^9)))-((160926579 Gamma[5,40 π y])/(1587200000 (π^5) (q^10)))-((62931069 Gamma[5,44 π y])/(639050368 (π^5) (q^11)))-((33592517 Gamma[5,48 π y])/(329121792 (π^5) (q^12)))-((290166261 Gamma[5,52 π y])/(2946581248 (π^5) (q^13)))-((108367479 Gamma[5,56 π y])/(1067042816 (π^5) (q^14)))-((99156781 Gamma[5,60 π y])/(1004400000 (π^5) (q^15)))-((1691792763 Gamma[5,64 π y])/(16642998272 (π^5) (q^16)))-((1109619027 Gamma[5,68 π y])/(11267985152 (π^5) (q^17)))-((339808183 Gamma[5,72 π y])/(3332358144 (π^5) (q^18)))-((967536075 Gamma[5,76 π y])/(9825160832 (π^5) (q^19)))-((5154527091 Gamma[5,80 π y])/(50790400000 (π^5) (q^20)))-((66771881 Gamma[5,84 π y])/(675238032 (π^5) (q^21)))-((188793207 Gamma[5,88 π y])/(1859055616 (π^5) (q^22)))-((40564539 Gamma[5,92 π y])/(411925952 (π^5) (q^23)))-((358330775 Gamma[5,96 π y])/(3510632448 (π^5) (q^24)))-((15239251563 Gamma[5,100 π y])/(155000000000 (π^5) (q^25)))-((9575486613 Gamma[5,104 π y])/(94290599936 (π^5) (q^26)))-((938334025 Gamma[5,108 π y])/(9489410496 (π^5) (q^27)))-((495863313 Gamma[5,112 π y])/(4877910016 (π^5) (q^28)))-((517079475 Gamma[5,116 π y])/(5250854144 (π^5) (q^29)))-((1090724591 Gamma[5,120 π y])/(10713600000 (π^5) (q^30)))-((1398355143 Gamma[5,124 π y])/(14200058896 (π^5) (q^31)))-((54137369979 Gamma[5,128 π y])/(532575944704 (π^5) (q^32)))-((426532801 Gamma[5,132 π y])/(4313589984 (π^5) (q^33)))-((36617427891 Gamma[5,136 π y])/(360575524864 (π^5) (q^34)))-((10245658863 Gamma[5,140 π y])/(104203400000 (π^5) (q^35)))-((32652477221 Gamma[5,144 π y])/(319906381824 (π^5) (q^36)))-((54192303177 Gamma[5,148 π y])/(550313642752 (π^5) (q^37)))-((31928690475 Gamma[5,152 π y])/(314405146624 (π^5) (q^38)))-((5900047307 Gamma[5,156 π y])/(59668270272 (π^5) (q^39)))-((6597989739 Gamma[5,160 π y])/(65011712000 (π^5) (q^40)))-((90541621863 Gamma[5,164 π y])/(919434811136 (π^5) (q^41)))-((734490691 Gamma[5,168 π y])/(7202539008 (π^5) (q^42)))-((57443549493 Gamma[5,172 π y])/(583329501824 (π^5) (q^43)))-((66518139933 Gamma[5,176 π y])/(654387576832 (π^5) (q^44)))-((96382016653 Gamma[5,180 π y])/(976276800000 (π^5) (q^45)))-((1338629787 Gamma[5,184 π y])/(13181630464 (π^5) (q^46)))-((22404140469 Gamma[5,188 π y])/(227510246944 (π^5) (q^47)))-((34399786181 Gamma[5,192 π y])/(337020715008 (π^5) (q^48)))-((14243067261 Gamma[5,196 π y])/(144627327488 (π^5) (q^49)))-((502895301579 Gamma[5,200 π y])/(4960000000000 (π^5) (q^50)));
lv5ph4y5e2=((9375 (Sqrt[3]) (q^(1/5)))/(1984 (Sqrt[2]) (π^5)))+((2096875 (q^(6/5)))/(142848 (Sqrt[6]) (π^5)))+((377465625 (Sqrt[(3/2)]) (q^(11/5)))/(79881296 (π^5)))+((10147509375 (Sqrt[(3/2)]) (q^(16/5)))/(2080374784 (π^5)))+((400503125 (q^(21/5)))/(28134918 (Sqrt[6]) (π^5)))+((57434540625 (Sqrt[(3/2)]) (q^(26/5)))/(11786324992 (π^5)))+((8387446875 (Sqrt[(3/2)]) (q^(31/5)))/(1775007362 (π^5)))+((195852190625 (q^(36/5)))/(13329432576 (Sqrt[6]) (π^5)))+((543075946875 (Sqrt[(3/2)]) (q^(41/5)))/(114929351392 (π^5)))+((8029209375 (Sqrt[(3/2)]) (q^(46/5)))/(1647703808 (π^5)))+((15036690625 (q^(51/5)))/(1056373608 (Sqrt[6]) (π^5)))+((666246796875 (Sqrt[(3/2)]) (q^(56/5)))/(136581480448 (π^5)))+((127711134375 (Sqrt[(3/2)]) (q^(61/5)))/(27027081632 (π^5)))+((2558378125 (q^(66/5)))/(174286464 (Sqrt[6]) (π^5)))+((2114331271875 (Sqrt[(3/2)]) (q^(71/5)))/(447448879048 (π^5)))+((6134150859375 (Sqrt[(3/2)]) (q^(76/5)))/(1257620586496 (π^5)))+((10941226878125 (q^(81/5)))/(768642250176 (Sqrt[6]) (π^5)))+((11370184340625 (Sqrt[(3/2)]) (q^(86/5)))/(2333318007296 (π^5)))+((522380821875 (Sqrt[(3/2)]) (q^(91/5)))/(110542837132 (π^5)))+((733627365625 (q^(96/5)))/(49928994816 (Sqrt[6]) (π^5)))+((49266096103125 (Sqrt[(3/2)]) (q^(101/5)))/(10426019696992 (π^5)))+((64689615478125 (Sqrt[(3/2)]) (q^(106/5)))/(13275197729792 (π^5)))+((6609345996875 (q^(111/5)))/(464327136072 (Sqrt[6]) (π^5)))+((3278268984375 (Sqrt[(3/2)]) (q^(116/5)))/(672109330432 (π^5)))+((243164865496875 (Sqrt[(3/2)]) (q^(121/5)))/(51459850408384 (π^5)))+((4282251634375 (q^(126/5)))/(291702829824 (Sqrt[6]) (π^5)))+((90420678871875 (Sqrt[(3/2)]) (q^(131/5)))/(19135426866896 (π^5)))+((225125141484375 (Sqrt[(3/2)]) (q^(136/5)))/(46153667182592 (π^5)))+((910810253125 (q^(141/5)))/(63987256953 (Sqrt[6]) (π^5)))+((320678262196875 (Sqrt[(3/2)]) (q^(146/5)))/(65807584648192 (π^5)))+((2967592959375 (Sqrt[(3/2)]) (q^(151/5)))/(628021806008 (π^5)))+((37406130059375 (q^(156/5)))/(2545846198272 (Sqrt[6]) (π^5)))+((511192996875 (Sqrt[(3/2)]) (q^(161/5)))/(108175616801 (π^5)))+((304660174809375 (Sqrt[(3/2)]) (q^(166/5)))/(62520453085696 (π^5)))+((114699529140625 (q^(171/5)))/(8057860027344 (Sqrt[6]) (π^5)))+((408569169965625 (Sqrt[(3/2)]) (q^(176/5)))/(83761609834496 (π^5)))+((910613647978125 (Sqrt[(3/2)]) (q^(181/5)))/(192710130941792 (π^5)))+((1875992284375 (q^(186/5)))/(127800530064 (Sqrt[6]) (π^5)))+((37235581340625 (Sqrt[(3/2)]) (q^(191/5)))/(7880041960481 (π^5)))+((12900090909375 (Sqrt[(3/2)]) (q^(196/5)))/(2644613988352 (π^5)))+((64341899678125 (q^(201/5)))/(4520218858236 (Sqrt[6]) (π^5)))+((448313020959375 (Sqrt[(3/2)]) (q^(206/5)))/(91999990536448 (π^5)))+((980220004809375 (Sqrt[(3/2)]) (q^(211/5)))/(207440692217296 (π^5)))+((63457990234375 (q^(216/5)))/(4318736154624 (Sqrt[6]) (π^5)))+((1235589272465625 (Sqrt[(3/2)]) (q^(221/5)))/(261482750690096 (π^5)))+((2850016918134375 (Sqrt[(3/2)]) (q^(226/5)))/(584862623316992 (π^5)))+((488650221875 (Sqrt[(2/3)]) (q^(231/5)))/(68653889073 (π^5)))+((1771113246328125 (Sqrt[(3/2)]) (q^(236/5)))/(363112911159296 (π^5)))+((3810890705634375 (Sqrt[(3/2)]) (q^(241/5)))/(806486097063392 (π^5)))+((40489328928125 (q^(246/5)))/(2758304433408 (Sqrt[6]) (π^5)))+((3303125 (Sqrt[(3/2)]) Gamma[5,((16 π y)/5)])/(16252928 (π^5) (q^(4/5))))+((185290625 Gamma[5,((36 π y)/5)])/(312408576 (Sqrt[6]) (π^5) (q^(9/5))))+((216665625 (Sqrt[(3/2)]) Gamma[5,((56 π y)/5)])/(1067042816 (π^5) (q^(14/5))))+((1934453125 (Sqrt[(3/2)]) Gamma[5,((76 π y)/5)])/(9825160832 (π^5) (q^(19/5))))+((2149296875 Gamma[5,((96 π y)/5)])/(3510632448 (Sqrt[6]) (π^5) (q^(24/5))))+((1033828125 (Sqrt[(3/2)]) Gamma[5,((116 π y)/5)])/(5250854144 (π^5) (q^(29/5))))+((73211428125 (Sqrt[(3/2)]) Gamma[5,((136 π y)/5)])/(360575524864 (π^5) (q^(34/5))))+((35388959375 Gamma[5,((156 π y)/5)])/(59668270272 (Sqrt[6]) (π^5) (q^(39/5))))+((132993721875 (Sqrt[(3/2)]) Gamma[5,((176 π y)/5)])/(654387576832 (π^5) (q^(44/5))))+((28477021875 (Sqrt[(3/2)]) Gamma[5,((196 π y)/5)])/(144627327488 (π^5) (q^(49/5))))+((61910234375 Gamma[5,((216 π y)/5)])/(101220378624 (Sqrt[6]) (π^5) (q^(54/5))))+((558534609375 (Sqrt[(3/2)]) Gamma[5,((236 π y)/5)])/(2836819618432 (π^5) (q^(59/5))))+((3463683303125 (Sqrt[(3/2)]) Gamma[5,((256 π y)/5)])/(17042430230528 (π^5) (q^(64/5))))+((1649096875 Gamma[5,((276 π y)/5)])/(2780500176 (Sqrt[6]) (π^5) (q^(69/5))))+((3575547834375 (Sqrt[(3/2)]) Gamma[5,((296 π y)/5)])/(17610036568064 (π^5) (q^(74/5))))+((600987578125 (Sqrt[(3/2)]) Gamma[5,((316 π y)/5)])/(3052439947808 (π^5) (q^(79/5))))+((60475971875 Gamma[5,((336 π y)/5)])/(98777677824 (Sqrt[6]) (π^5) (q^(84/5))))+((281454609375 (Sqrt[(3/2)]) Gamma[5,((356 π y)/5)])/(1429519218944 (π^5) (q^(89/5))))+((1478200246875 (Sqrt[(3/2)]) Gamma[5,((376 π y)/5)])/(7280327902208 (π^5) (q^(94/5))))+((2486785478125 Gamma[5,((396 π y)/5)])/(4192809464448 (Sqrt[6]) (π^5) (q^(99/5))))+((19623468046875 (Sqrt[(3/2)]) Gamma[5,((416 π y)/5)])/(96553574334464 (π^5) (q^(104/5))))+((24040999296875 (Sqrt[(3/2)]) Gamma[5,((436 π y)/5)])/(122105197060864 (π^5) (q^(109/5))))+((1298018046875 Gamma[5,((456 π y)/5)])/(2122234739712 (Sqrt[6]) (π^5) (q^(114/5))))+((4661127590625 (Sqrt[(3/2)]) Gamma[5,((476 π y)/5)])/(23672628306208 (π^5) (q^(119/5))))+((2955177115625 (Sqrt[(3/2)]) Gamma[5,((496 π y)/5)])/(14540860309504 (π^5) (q^(124/5))))+((7005871159375 Gamma[5,((516 π y)/5)])/(11812422411936 (Sqrt[6]) (π^5) (q^(129/5))))+((34807912940625 (Sqrt[(3/2)]) Gamma[5,((536 π y)/5)])/(171433485586432 (π^5) (q^(134/5))))+((1307682578125 (Sqrt[(3/2)]) Gamma[5,((556 π y)/5)])/(6641772121472 (π^5) (q^(139/5))))+((200558757790625 Gamma[5,((576 π y)/5)])/(327584134987776 (Sqrt[6]) (π^5) (q^(144/5))))+((114749649609375 (Sqrt[(3/2)]) Gamma[5,((596 π y)/5)])/(582818060344064 (π^5) (q^(149/5))))+((72095934375 (Sqrt[(3/2)]) Gamma[5,((616 π y)/5)])/(355058497024 (π^5) (q^(154/5))))+((1476268815625 Gamma[5,((636 π y)/5)])/(2489099574336 (Sqrt[6]) (π^5) (q^(159/5))))+((191343758615625 (Sqrt[(3/2)]) Gamma[5,((656 π y)/5)])/(941501246603264 (π^5) (q^(164/5))))+((430808947321875 (Sqrt[(3/2)]) Gamma[5,((676 π y)/5)])/(2188089982627328 (π^5) (q^(169/5))))+((231232890625 Gamma[5,((696 π y)/5)])/(378061498368 (Sqrt[6]) (π^5) (q^(174/5))))+((143567185078125 (Sqrt[(3/2)]) Gamma[5,((716 π y)/5)])/(729183475695232 (π^5) (q^(179/5))))+((2743313203125 (Sqrt[(3/2)]) Gamma[5,((736 π y)/5)])/(13497989595136 (π^5) (q^(184/5))))+((11824854765625 Gamma[5,((756 π y)/5)])/(19936065275784 (Sqrt[6]) (π^5) (q^(189/5))))+((442784732053125 (Sqrt[(3/2)]) Gamma[5,((776 π y)/5)])/(2180772232945664 (π^5) (q^(194/5))))+((121906094140625 (Sqrt[(3/2)]) Gamma[5,((796 π y)/5)])/(619165928382016 (π^5) (q^(199/5))))+((15893781990625 Gamma[5,((816 π y)/5)])/(25961437790208 (Sqrt[6]) (π^5) (q^(204/5))))+((7080626015625 (Sqrt[(3/2)]) Gamma[5,((836 π y)/5)])/(35962544935328 (π^5) (q^(209/5))))+((361595368096875 (Sqrt[(3/2)]) Gamma[5,((856 π y)/5)])/(1780904085573632 (π^5) (q^(214/5))))+((197589636303125 Gamma[5,((876 π y)/5)])/(333150897281472 (Sqrt[6]) (π^5) (q^(219/5))))+((32487493809375 (Sqrt[(3/2)]) Gamma[5,((896 π y)/5)])/(159839355404288 (π^5) (q^(224/5))))+((984005300234375 (Sqrt[(3/2)]) Gamma[5,((916 π y)/5)])/(4997802280094464 (π^5) (q^(229/5))))+((29106548865625 Gamma[5,((936 π y)/5)])/(47587740475392 (Sqrt[6]) (π^5) (q^(234/5))))+((152306887734375 (Sqrt[(3/2)]) Gamma[5,((956 π y)/5)])/(773572775077408 (π^5) (q^(239/5))))+((44996889678125 (Sqrt[(3/2)]) Gamma[5,((976 π y)/5)])/(221405852729344 (π^5) (q^(244/5))))+((62573301896875 Gamma[5,((996 π y)/5)])/(105503264582112 (Sqrt[6]) (π^5) (q^(249/5))));
lv5ph4y5e3=((309375 (Sqrt[3]) (q^(2/5)))/(63488 (Sqrt[2]) (π^5)))+((19696875 (Sqrt[(3/2)]) (q^(7/5)))/(4168136 (π^5)))+((201490625 (q^(12/5)))/(13713408 (Sqrt[6]) (π^5)))+((6655584375 (Sqrt[(3/2)]) (q^(17/5)))/(1408498144 (π^5)))+((1132396875 (Sqrt[(3/2)]) (q^(22/5)))/(232381952 (π^5)))+((5628203125 (q^(27/5)))/(395392104 (Sqrt[6]) (π^5)))+((324720309375 (Sqrt[(3/2)]) (q^(32/5)))/(66571993088 (π^5)))+((325049803125 (Sqrt[(3/2)]) (q^(37/5)))/(68789205344 (π^5)))+((4405534375 (q^(42/5)))/(300105792 (Sqrt[6]) (π^5)))+((134381840625 (Sqrt[(3/2)]) (q^(47/5)))/(28438780868 (π^5)))+((1839645740625 (Sqrt[(3/2)]) (q^(52/5)))/(377162399744 (π^5)))+((118001640625 (q^(57/5)))/(8289979452 (Sqrt[6]) (π^5)))+((276785746875 (Sqrt[(3/2)]) (q^(62/5)))/(56800235584 (π^5)))+((3164355721875 (Sqrt[(3/2)]) (q^(67/5)))/(669662053072 (π^5)))+((2089151796875 (q^(72/5)))/(142180614144 (Sqrt[6]) (π^5)))+((72095934375 (Sqrt[(3/2)]) (q^(77/5)))/(15256419794 (π^5)))+((17921506246875 (Sqrt[(3/2)]) (q^(82/5)))/(3677739244544 (π^5)))+((21021171875 (q^(87/5)))/(1476802728 (Sqrt[6]) (π^5)))+((257178009375 (Sqrt[(3/2)]) (q^(92/5)))/(52726521856 (π^5)))+((40253157459375 (Sqrt[(3/2)]) (q^(97/5)))/(8518641534944 (π^5)))+((165403596875 (q^(102/5)))/(11267985152 (Sqrt[6]) (π^5)))+((32872306190625 (Sqrt[(3/2)]) (q^(107/5)))/(6956656584272 (π^5)))+((21319917196875 (Sqrt[(3/2)]) (q^(112/5)))/(4370607374336 (π^5)))+((2646049896875 (q^(117/5)))/(185889611232 (Sqrt[6]) (π^5)))+((4214467434375 (Sqrt[(3/2)]) (q^(122/5)))/(864866612224 (π^5)))+((2419802446875 (Sqrt[6]) (q^(127/5)))/(1024189451617 (π^5)))+((2704205678125 (q^(132/5)))/(184046505984 (Sqrt[6]) (π^5)))+((226226833396875 (Sqrt[(3/2)]) (q^(137/5)))/(47875630661344 (π^5)))+((69772931971875 (Sqrt[(3/2)]) (q^(142/5)))/(14318364129536 (π^5)))+((579032778125 (q^(147/5)))/(40676435856 (Sqrt[6]) (π^5)))+((196298630859375 (Sqrt[(3/2)]) (q^(152/5)))/(40243858767872 (π^5)))+((447135902615625 (Sqrt[(3/2)]) (q^(157/5)))/(94625880616544 (π^5)))+((120353495659375 (q^(162/5)))/(8198850668544 (Sqrt[6]) (π^5)))+((152217170634375 (Sqrt[(3/2)]) (q^(167/5)))/(32213212430536 (π^5)))+((364190449940625 (Sqrt[(3/2)]) (q^(172/5)))/(74666176233472 (π^5)))+((11356870390625 (q^(177/5)))/(797855517684 (Sqrt[6]) (π^5)))+((17238567121875 (Sqrt[(3/2)]) (q^(182/5)))/(3537370788224 (π^5)))+((24361253971875 (Sqrt[(3/2)]) (q^(187/5)))/(5155455331576 (π^5)))+((211284681490625 (q^(192/5)))/(14379550507008 (Sqrt[6]) (π^5)))+((1390824753553125 (Sqrt[(3/2)]) (q^(197/5)))/(294335606510944 (π^5)))+((1625781171403125 (Sqrt[(3/2)]) (q^(202/5)))/(333632630303744 (π^5)))+((1602949196875 (q^(207/5)))/(112610257128 (Sqrt[6]) (π^5)))+((2072027986678125 (Sqrt[(3/2)]) (q^(212/5)))/(424806327353344 (π^5)))+((35244051768750 (Sqrt[6]) (q^(217/5)))/(14916274366567 (π^5)))+((72702805965625 (q^(222/5)))/(4952822784768 (Sqrt[6]) (π^5)))+((1412669507596875 (Sqrt[(3/2)]) (q^(227/5)))/(298958538993872 (π^5)))+((104907708984375 (Sqrt[(3/2)]) (q^(232/5)))/(21507498573824 (π^5)))+((36660242265625 (q^(237/5)))/(2575496205963 (Sqrt[6]) (π^5)))+((729494596490625 (Sqrt[(3/2)]) (q^(242/5)))/(149701383006208 (π^5)))+((1077376257890625 (Sqrt[(3/2)]) (q^(247/5)))/(228000840049736 (π^5)))+((190625 Gamma[5,((12 π y)/5)])/(321408 (Sqrt[6]) (π^5) (q^(3/5))))+((105703125 (Sqrt[(3/2)]) Gamma[5,((32 π y)/5)])/(520093696 (π^5) (q^(8/5))))+((580146875 (Sqrt[(3/2)]) Gamma[5,((52 π y)/5)])/(2946581248 (π^5) (q^(13/5))))+((2038196875 Gamma[5,((72 π y)/5)])/(3332358144 (Sqrt[6]) (π^5) (q^(18/5))))+((81103125 (Sqrt[(3/2)]) Gamma[5,((92 π y)/5)])/(411925952 (π^5) (q^(23/5))))+((991409375 (Sqrt[(3/2)]) Gamma[5,((112 π y)/5)])/(4877910016 (π^5) (q^(28/5))))+((2558378125 Gamma[5,((132 π y)/5)])/(4313589984 (Sqrt[6]) (π^5) (q^(33/5))))+((63836953125 (Sqrt[(3/2)]) Gamma[5,((152 π y)/5)])/(314405146624 (π^5) (q^(38/5))))+((114850346875 (Sqrt[(3/2)]) Gamma[5,((172 π y)/5)])/(583329501824 (π^5) (q^(43/5))))+((206332690625 Gamma[5,((192 π y)/5)])/(337020715008 (Sqrt[6]) (π^5) (q^(48/5))))+((653430459375 (Sqrt[(3/2)]) Gamma[5,((212 π y)/5)])/(3318799432448 (π^5) (q^(53/5))))+((34116328125 (Sqrt[(3/2)]) Gamma[5,((232 π y)/5)])/(168027332608 (π^5) (q^(58/5))))+((389295603125 Gamma[5,((252 π y)/5)])/(656331367104 (Sqrt[6]) (π^5) (q^(63/5))))+((2344984228125 (Sqrt[(3/2)]) Gamma[5,((272 π y)/5)])/(11538416795648 (π^5) (q^(68/5))))+((3239174365625 (Sqrt[(3/2)]) Gamma[5,((292 π y)/5)])/(16451896162048 (π^5) (q^(73/5))))+((389278553125 Gamma[5,((312 π y)/5)])/(636461549568 (Sqrt[6]) (π^5) (q^(78/5))))+((3077375503125 (Sqrt[(3/2)]) Gamma[5,((332 π y)/5)])/(15630113271424 (π^5) (q^(83/5))))+((386902265625 (Sqrt[(3/2)]) Gamma[5,((352 π y)/5)])/(1903672950784 (π^5) (q^(88/5))))+((170544753125 Gamma[5,((372 π y)/5)])/(287551192644 (Sqrt[6]) (π^5) (q^(93/5))))+((939741721875 (Sqrt[(3/2)]) Gamma[5,((392 π y)/5)])/(4628074479616 (π^5) (q^(98/5))))+((4528414353125 (Sqrt[(3/2)]) Gamma[5,((412 π y)/5)])/(22999997634112 (π^5) (q^(103/5))))+((5949010703125 Gamma[5,((432 π y)/5)])/(9717156347904 (Sqrt[6]) (π^5) (q^(108/5))))+((28788049678125 (Sqrt[(3/2)]) Gamma[5,((452 π y)/5)])/(146215655829248 (π^5) (q^(113/5))))+((18431642109375 (Sqrt[(3/2)]) Gamma[5,((472 π y)/5)])/(90778227789824 (π^5) (q^(118/5))))+((3680848084375 Gamma[5,((492 π y)/5)])/(6206184975168 (Sqrt[6]) (π^5) (q^(123/5))))+((110837865703125 (Sqrt[(3/2)]) Gamma[5,((512 π y)/5)])/(545357767376896 (π^5) (q^(128/5))))+((4064286015625 (Sqrt[(3/2)]) Gamma[5,((532 π y)/5)])/(20641434762928 (π^5) (q^(133/5))))+((18140065625 Gamma[5,((552 π y)/5)])/(29658668544 (Sqrt[6]) (π^5) (q^(138/5))))+((2123495784375 (Sqrt[(3/2)]) Gamma[5,((572 π y)/5)])/(10785224012992 (π^5) (q^(143/5))))+((114525880634375 (Sqrt[(3/2)]) Gamma[5,((592 π y)/5)])/(563521170178048 (π^5) (q^(148/5))))+((14615909790625 Gamma[5,((612 π y)/5)])/(24643083527424 (Sqrt[6]) (π^5) (q^(153/5))))+((19832590078125 (Sqrt[(3/2)]) Gamma[5,((632 π y)/5)])/(97678078329856 (π^5) (q^(158/5))))+((89893450815625 (Sqrt[(3/2)]) Gamma[5,((652 π y)/5)])/(456572432426624 (π^5) (q^(163/5))))+((4515672734375 Gamma[5,((672 π y)/5)])/(7375399944192 (Sqrt[6]) (π^5) (q^(168/5))))+((242131081396875 (Sqrt[(3/2)]) Gamma[5,((692 π y)/5)])/(1229793447650048 (π^5) (q^(173/5))))+((9288002109375 (Sqrt[(3/2)]) Gamma[5,((712 π y)/5)])/(45744615006208 (π^5) (q^(178/5))))+((42570378125 Gamma[5,((732 π y)/5)])/(71776839744 (Sqrt[6]) (π^5) (q^(183/5))))+((47347201846875 (Sqrt[(3/2)]) Gamma[5,((752 π y)/5)])/(232970492870656 (π^5) (q^(188/5))))+((418414350303125 (Sqrt[(3/2)]) Gamma[5,((772 π y)/5)])/(2125143221755648 (π^5) (q^(193/5))))+((2486785478125 Gamma[5,((792 π y)/5)])/(4065754632192 (Sqrt[6]) (π^5) (q^(198/5))))+((2172072890625 (Sqrt[(3/2)]) Gamma[5,((812 π y)/5)])/(11031388199776 (π^5) (q^(203/5))))+((627951557646875 (Sqrt[(3/2)]) Gamma[5,((832 π y)/5)])/(3089714378702848 (π^5) (q^(208/5))))+((4776822503125 Gamma[5,((852 π y)/5)])/(8054079822864 (Sqrt[6]) (π^5) (q^(213/5))))+((793352976796875 (Sqrt[(3/2)]) Gamma[5,((872 π y)/5)])/(3907366305947648 (π^5) (q^(218/5))))+((53854792709375 (Sqrt[(3/2)]) Gamma[5,((892 π y)/5)])/(273530646362128 (π^5) (q^(223/5))))+((124727734140625 Gamma[5,((912 π y)/5)])/(203734535012352 (Sqrt[6]) (π^5) (q^(228/5))))+((1072999775615625 (Sqrt[(3/2)]) Gamma[5,((932 π y)/5)])/(5449808780334848 (π^5) (q^(233/5))))+((153817210490625 (Sqrt[(3/2)]) Gamma[5,((952 π y)/5)])/(757524105798656 (π^5) (q^(238/5))))+((21441275253125 Gamma[5,((972 π y)/5)])/(36150980669568 (Sqrt[6]) (π^5) (q^(243/5))))+((94568463515625 (Sqrt[(3/2)]) Gamma[5,((992 π y)/5)])/(465307529904128 (π^5) (q^(248/5))));
lv5ph4y5e4=((190625 (q^(3/5)))/(13392 (Sqrt[6]) (π^5)))+((317109375 (Sqrt[(3/2)]) (q^(8/5)))/(65011712 (π^5)))+((1740440625 (Sqrt[(3/2)]) (q^(13/5)))/(368322656 (π^5)))+((2038196875 (q^(18/5)))/(138848256 (Sqrt[6]) (π^5)))+((243309375 (Sqrt[(3/2)]) (q^(23/5)))/(51490744 (π^5)))+((2974228125 (Sqrt[(3/2)]) (q^(28/5)))/(609738752 (π^5)))+((2558378125 (q^(33/5)))/(179732916 (Sqrt[6]) (π^5)))+((191510859375 (Sqrt[(3/2)]) (q^(38/5)))/(39300643328 (π^5)))+((344551040625 (Sqrt[(3/2)]) (q^(43/5)))/(72916187728 (π^5)))+((206332690625 (q^(48/5)))/(14042529792 (Sqrt[6]) (π^5)))+((1960291378125 (Sqrt[(3/2)]) (q^(53/5)))/(414849929056 (π^5)))+((102348984375 (Sqrt[(3/2)]) (q^(58/5)))/(21003416576 (π^5)))+((389295603125 (q^(63/5)))/(27347140296 (Sqrt[6]) (π^5)))+((7034952684375 (Sqrt[(3/2)]) (q^(68/5)))/(1442302099456 (π^5)))+((9717523096875 (Sqrt[(3/2)]) (q^(73/5)))/(2056487020256 (π^5)))+((389278553125 (q^(78/5)))/(26519231232 (Sqrt[6]) (π^5)))+((9232126509375 (Sqrt[(3/2)]) (q^(83/5)))/(1953764158928 (π^5)))+((1160706796875 (Sqrt[(3/2)]) (q^(88/5)))/(237959118848 (π^5)))+((170544753125 (Sqrt[(2/3)]) (q^(93/5)))/(23962599387 (π^5)))+((2819225165625 (Sqrt[(3/2)]) (q^(98/5)))/(578509309952 (π^5)))+((13585243059375 (Sqrt[(3/2)]) (q^(103/5)))/(2874999704264 (π^5)))+((5949010703125 (q^(108/5)))/(404881514496 (Sqrt[6]) (π^5)))+((86364149034375 (Sqrt[(3/2)]) (q^(113/5)))/(18276956978656 (π^5)))+((55294926328125 (Sqrt[(3/2)]) (q^(118/5)))/(11347278473728 (π^5)))+((3680848084375 (q^(123/5)))/(258591040632 (Sqrt[6]) (π^5)))+((332513597109375 (Sqrt[(3/2)]) (q^(128/5)))/(68169720922112 (π^5)))+((12192858046875 (Sqrt[(3/2)]) (q^(133/5)))/(2580179345366 (π^5)))+((18140065625 (q^(138/5)))/(1235777856 (Sqrt[6]) (π^5)))+((6370487353125 (Sqrt[(3/2)]) (q^(143/5)))/(1348153001624 (π^5)))+((343577641903125 (Sqrt[(3/2)]) (q^(148/5)))/(70440146272256 (π^5)))+((14615909790625 (q^(153/5)))/(1026795146976 (Sqrt[6]) (π^5)))+((59497770234375 (Sqrt[(3/2)]) (q^(158/5)))/(12209759791232 (π^5)))+((269680352446875 (Sqrt[(3/2)]) (q^(163/5)))/(57071554053328 (π^5)))+((4515672734375 (q^(168/5)))/(307308331008 (Sqrt[6]) (π^5)))+((726393244190625 (Sqrt[(3/2)]) (q^(173/5)))/(153724180956256 (π^5)))+((27864006328125 (Sqrt[(3/2)]) (q^(178/5)))/(5718076875776 (π^5)))+((42570378125 (q^(183/5)))/(2990701656 (Sqrt[6]) (π^5)))+((142041605540625 (Sqrt[(3/2)]) (q^(188/5)))/(29121311608832 (π^5)))+((1255243050909375 (Sqrt[(3/2)]) (q^(193/5)))/(265642902719456 (π^5)))+((2486785478125 (q^(198/5)))/(169406443008 (Sqrt[6]) (π^5)))+((6516218671875 (Sqrt[(3/2)]) (q^(203/5)))/(1378923524972 (π^5)))+((1883854672940625 (Sqrt[(3/2)]) (q^(208/5)))/(386214297337856 (π^5)))+((4776822503125 (q^(213/5)))/(335586659286 (Sqrt[6]) (π^5)))+((2380058930390625 (Sqrt[(3/2)]) (q^(218/5)))/(488420788243456 (π^5)))+((161564378128125 (Sqrt[(3/2)]) (q^(223/5)))/(34191330795266 (π^5)))+((124727734140625 (q^(228/5)))/(8488938958848 (Sqrt[6]) (π^5)))+((3218999326846875 (Sqrt[(3/2)]) (q^(233/5)))/(681226097541856 (π^5)))+((461451631471875 (Sqrt[(3/2)]) (q^(238/5)))/(94690513224832 (π^5)))+((21441275253125 (q^(243/5)))/(1506290861232 (Sqrt[6]) (π^5)))+((283705390546875 (Sqrt[(3/2)]) (q^(248/5)))/(58163441238016 (π^5)))+((103125 (Sqrt[(3/2)]) Gamma[5,((8 π y)/5)])/(507904 (π^5) (q^(2/5))))+((6565625 (Sqrt[(3/2)]) Gamma[5,((28 π y)/5)])/(33345088 (π^5) (q^(7/5))))+((201490625 Gamma[5,((48 π y)/5)])/(329121792 (Sqrt[6]) (π^5) (q^(12/5))))+((2218528125 (Sqrt[(3/2)]) Gamma[5,((68 π y)/5)])/(11267985152 (π^5) (q^(17/5))))+((377465625 (Sqrt[(3/2)]) Gamma[5,((88 π y)/5)])/(1859055616 (π^5) (q^(22/5))))+((5628203125 Gamma[5,((108 π y)/5)])/(9489410496 (Sqrt[6]) (π^5) (q^(27/5))))+((108240103125 (Sqrt[(3/2)]) Gamma[5,((128 π y)/5)])/(532575944704 (π^5) (q^(32/5))))+((108349934375 (Sqrt[(3/2)]) Gamma[5,((148 π y)/5)])/(550313642752 (π^5) (q^(37/5))))+((4405534375 Gamma[5,((168 π y)/5)])/(7202539008 (Sqrt[6]) (π^5) (q^(42/5))))+((44793946875 (Sqrt[(3/2)]) Gamma[5,((188 π y)/5)])/(227510246944 (π^5) (q^(47/5))))+((613215246875 (Sqrt[(3/2)]) Gamma[5,((208 π y)/5)])/(3017299197952 (π^5) (q^(52/5))))+((118001640625 Gamma[5,((228 π y)/5)])/(198959506848 (Sqrt[6]) (π^5) (q^(57/5))))+((92261915625 (Sqrt[(3/2)]) Gamma[5,((248 π y)/5)])/(454401884672 (π^5) (q^(62/5))))+((1054785240625 (Sqrt[(3/2)]) Gamma[5,((268 π y)/5)])/(5357296424576 (π^5) (q^(67/5))))+((2089151796875 Gamma[5,((288 π y)/5)])/(3412334739456 (Sqrt[6]) (π^5) (q^(72/5))))+((24031978125 (Sqrt[(3/2)]) Gamma[5,((308 π y)/5)])/(122051358352 (π^5) (q^(77/5))))+((5973835415625 (Sqrt[(3/2)]) Gamma[5,((328 π y)/5)])/(29421913956352 (π^5) (q^(82/5))))+((21021171875 Gamma[5,((348 π y)/5)])/(35443265472 (Sqrt[6]) (π^5) (q^(87/5))))+((85726003125 (Sqrt[(3/2)]) Gamma[5,((368 π y)/5)])/(421812174848 (π^5) (q^(92/5))))+((13417719153125 (Sqrt[(3/2)]) Gamma[5,((388 π y)/5)])/(68149132279552 (π^5) (q^(97/5))))+((165403596875 Gamma[5,((408 π y)/5)])/(270431643648 (Sqrt[6]) (π^5) (q^(102/5))))+((10957435396875 (Sqrt[(3/2)]) Gamma[5,((428 π y)/5)])/(55653252674176 (π^5) (q^(107/5))))+((7106639065625 (Sqrt[(3/2)]) Gamma[5,((448 π y)/5)])/(34964858994688 (π^5) (q^(112/5))))+((2646049896875 Gamma[5,((468 π y)/5)])/(4461350669568 (Sqrt[6]) (π^5) (q^(117/5))))+((1404822478125 (Sqrt[(3/2)]) Gamma[5,((488 π y)/5)])/(6918932897792 (π^5) (q^(122/5))))+((806600815625 (Sqrt[(3/2)]) Gamma[5,((508 π y)/5)])/(4096757806468 (π^5) (q^(127/5))))+((2704205678125 Gamma[5,((528 π y)/5)])/(4417116143616 (Sqrt[6]) (π^5) (q^(132/5))))+((75408944465625 (Sqrt[(3/2)]) Gamma[5,((548 π y)/5)])/(383005045290752 (π^5) (q^(137/5))))+((23257643990625 (Sqrt[(3/2)]) Gamma[5,((568 π y)/5)])/(114546913036288 (π^5) (q^(142/5))))+((579032778125 Gamma[5,((588 π y)/5)])/(976234460544 (Sqrt[6]) (π^5) (q^(147/5))))+((65432876953125 (Sqrt[(3/2)]) Gamma[5,((608 π y)/5)])/(321950870142976 (π^5) (q^(152/5))))+((149045300871875 (Sqrt[(3/2)]) Gamma[5,((628 π y)/5)])/(757007044932352 (π^5) (q^(157/5))))+((120353495659375 Gamma[5,((648 π y)/5)])/(196772416045056 (Sqrt[6]) (π^5) (q^(162/5))))+((50739056878125 (Sqrt[(3/2)]) Gamma[5,((668 π y)/5)])/(257705699444288 (π^5) (q^(167/5))))+((121396816646875 (Sqrt[(3/2)]) Gamma[5,((688 π y)/5)])/(597329409867776 (π^5) (q^(172/5))))+((11356870390625 Gamma[5,((708 π y)/5)])/(19148532424416 (Sqrt[6]) (π^5) (q^(177/5))))+((5746189040625 (Sqrt[(3/2)]) Gamma[5,((728 π y)/5)])/(28298966305792 (π^5) (q^(182/5))))+((8120417990625 (Sqrt[(3/2)]) Gamma[5,((748 π y)/5)])/(41243642652608 (π^5) (q^(187/5))))+((211284681490625 Gamma[5,((768 π y)/5)])/(345109212168192 (Sqrt[6]) (π^5) (q^(192/5))))+((463608251184375 (Sqrt[(3/2)]) Gamma[5,((788 π y)/5)])/(2354684852087552 (π^5) (q^(197/5))))+((541927057134375 (Sqrt[(3/2)]) Gamma[5,((808 π y)/5)])/(2669061042429952 (π^5) (q^(202/5))))+((1602949196875 Gamma[5,((828 π y)/5)])/(2702646171072 (Sqrt[6]) (π^5) (q^(207/5))))+((690675995559375 (Sqrt[(3/2)]) Gamma[5,((848 π y)/5)])/(3398450618826752 (π^5) (q^(212/5))))+((5874008628125 (Sqrt[(3/2)]) Gamma[5,((868 π y)/5)])/(29832548733134 (π^5) (q^(217/5))))+((72702805965625 Gamma[5,((888 π y)/5)])/(118867746834432 (Sqrt[6]) (π^5) (q^(222/5))))+((470889835865625 (Sqrt[(3/2)]) Gamma[5,((908 π y)/5)])/(2391668311950976 (π^5) (q^(227/5))))+((34969236328125 (Sqrt[(3/2)]) Gamma[5,((928 π y)/5)])/(172059988590592 (π^5) (q^(232/5))))+((36660242265625 Gamma[5,((948 π y)/5)])/(61811908943112 (Sqrt[6]) (π^5) (q^(237/5))))+((243164865496875 (Sqrt[(3/2)]) Gamma[5,((968 π y)/5)])/(1197611064049664 (π^5) (q^(242/5))))+((359125419296875 (Sqrt[(3/2)]) Gamma[5,((988 π y)/5)])/(1824006720397888 (π^5) (q^(247/5))));
lv5ph4y5e5=((9909375 (Sqrt[(3/2)]) (q^(4/5)))/(2031616 (π^5)))+((185290625 (q^(9/5)))/(13017024 (Sqrt[6]) (π^5)))+((649996875 (Sqrt[(3/2)]) (q^(14/5)))/(133380352 (π^5)))+((5803359375 (Sqrt[(3/2)]) (q^(19/5)))/(1228145104 (π^5)))+((2149296875 (q^(24/5)))/(146276352 (Sqrt[6]) (π^5)))+((3101484375 (Sqrt[(3/2)]) (q^(29/5)))/(656356768 (π^5)))+((219634284375 (Sqrt[(3/2)]) (q^(34/5)))/(45071940608 (π^5)))+((35388959375 (q^(39/5)))/(2486177928 (Sqrt[6]) (π^5)))+((398981165625 (Sqrt[(3/2)]) (q^(44/5)))/(81798447104 (π^5)))+((85431065625 (Sqrt[(3/2)]) (q^(49/5)))/(18078415936 (π^5)))+((61910234375 (q^(54/5)))/(4217515776 (Sqrt[6]) (π^5)))+((1675603828125 (Sqrt[(3/2)]) (q^(59/5)))/(354602452304 (π^5)))+((10391049909375 (Sqrt[(3/2)]) (q^(64/5)))/(2130303778816 (π^5)))+((1649096875 (q^(69/5)))/(115854174 (Sqrt[6]) (π^5)))+((10726643503125 (Sqrt[(3/2)]) (q^(74/5)))/(2201254571008 (π^5)))+((1802962734375 (Sqrt[(3/2)]) (q^(79/5)))/(381554993476 (π^5)))+((60475971875 (q^(84/5)))/(4115736576 (Sqrt[6]) (π^5)))+((844363828125 (Sqrt[(3/2)]) (q^(89/5)))/(178689902368 (π^5)))+((4434600740625 (Sqrt[(3/2)]) (q^(94/5)))/(910040987776 (π^5)))+((2486785478125 (q^(99/5)))/(174700394352 (Sqrt[6]) (π^5)))+((58870404140625 (Sqrt[(3/2)]) (q^(104/5)))/(12069196791808 (π^5)))+((72122997890625 (Sqrt[(3/2)]) (q^(109/5)))/(15263149632608 (π^5)))+((1298018046875 (q^(114/5)))/(88426447488 (Sqrt[6]) (π^5)))+((13983382771875 (Sqrt[(3/2)]) (q^(119/5)))/(2959078538276 (π^5)))+((8865531346875 (Sqrt[(3/2)]) (q^(124/5)))/(1817607538688 (π^5)))+((7005871159375 (q^(129/5)))/(492184267164 (Sqrt[6]) (π^5)))+((104423738821875 (Sqrt[(3/2)]) (q^(134/5)))/(21429185698304 (π^5)))+((3923047734375 (Sqrt[(3/2)]) (q^(139/5)))/(830221515184 (π^5)))+((200558757790625 (q^(144/5)))/(13649338957824 (Sqrt[6]) (π^5)))+((344248948828125 (Sqrt[(3/2)]) (q^(149/5)))/(72852257543008 (π^5)))+((216287803125 (Sqrt[(3/2)]) (q^(154/5)))/(44382312128 (π^5)))+((1476268815625 (q^(159/5)))/(103712482264 (Sqrt[6]) (π^5)))+((574031275846875 (Sqrt[(3/2)]) (q^(164/5)))/(117687655825408 (π^5)))+((1292426841965625 (Sqrt[(3/2)]) (q^(169/5)))/(273511247828416 (π^5)))+((231232890625 (q^(174/5)))/(15752562432 (Sqrt[6]) (π^5)))+((430701555234375 (Sqrt[(3/2)]) (q^(179/5)))/(91147934461904 (π^5)))+((8229939609375 (Sqrt[(3/2)]) (q^(184/5)))/(1687248699392 (π^5)))+((11824854765625 (q^(189/5)))/(830669386491 (Sqrt[6]) (π^5)))+((1328354196159375 (Sqrt[(3/2)]) (q^(194/5)))/(272596529118208 (π^5)))+((365718282421875 (Sqrt[(3/2)]) (q^(199/5)))/(77395741047752 (π^5)))+((15893781990625 (q^(204/5)))/(1081726574592 (Sqrt[6]) (π^5)))+((21241878046875 (Sqrt[(3/2)]) (q^(209/5)))/(4495318116916 (π^5)))+((1084786104290625 (Sqrt[(3/2)]) (q^(214/5)))/(222613010696704 (π^5)))+((197589636303125 (q^(219/5)))/(13881287386728 (Sqrt[6]) (π^5)))+((97462481428125 (Sqrt[(3/2)]) (q^(224/5)))/(19979919425536 (π^5)))+((2952015900703125 (Sqrt[(3/2)]) (q^(229/5)))/(624725285011808 (π^5)))+((29106548865625 (q^(234/5)))/(1982822519808 (Sqrt[6]) (π^5)))+((456920663203125 (Sqrt[(3/2)]) (q^(239/5)))/(96696596884676 (π^5)))+((134990669034375 (Sqrt[(3/2)]) (q^(244/5)))/(27675731591168 (π^5)))+((62573301896875 (q^(249/5)))/(4395969357588 (Sqrt[6]) (π^5)))+((3125 (Sqrt[(3/2)]) Gamma[5,((4 π y)/5)])/(15872 (π^5) (q^(1/5))))+((2096875 Gamma[5,((24 π y)/5)])/(3428352 (Sqrt[6]) (π^5) (q^(6/5))))+((125821875 (Sqrt[(3/2)]) Gamma[5,((44 π y)/5)])/(639050368 (π^5) (q^(11/5))))+((3382503125 (Sqrt[(3/2)]) Gamma[5,((64 π y)/5)])/(16642998272 (π^5) (q^(16/5))))+((400503125 Gamma[5,((84 π y)/5)])/(675238032 (Sqrt[6]) (π^5) (q^(21/5))))+((19144846875 (Sqrt[(3/2)]) Gamma[5,((104 π y)/5)])/(94290599936 (π^5) (q^(26/5))))+((2795815625 (Sqrt[(3/2)]) Gamma[5,((124 π y)/5)])/(14200058896 (π^5) (q^(31/5))))+((195852190625 Gamma[5,((144 π y)/5)])/(319906381824 (Sqrt[6]) (π^5) (q^(36/5))))+((181025315625 (Sqrt[(3/2)]) Gamma[5,((164 π y)/5)])/(919434811136 (π^5) (q^(41/5))))+((2676403125 (Sqrt[(3/2)]) Gamma[5,((184 π y)/5)])/(13181630464 (π^5) (q^(46/5))))+((15036690625 Gamma[5,((204 π y)/5)])/(25352966592 (Sqrt[6]) (π^5) (q^(51/5))))+((222082265625 (Sqrt[(3/2)]) Gamma[5,((224 π y)/5)])/(1092651843584 (π^5) (q^(56/5))))+((42570378125 (Sqrt[(3/2)]) Gamma[5,((244 π y)/5)])/(216216653056 (π^5) (q^(61/5))))+((2558378125 Gamma[5,((264 π y)/5)])/(4182875136 (Sqrt[6]) (π^5) (q^(66/5))))+((704777090625 (Sqrt[(3/2)]) Gamma[5,((284 π y)/5)])/(3579591032384 (π^5) (q^(71/5))))+((2044716953125 (Sqrt[(3/2)]) Gamma[5,((304 π y)/5)])/(10060964691968 (π^5) (q^(76/5))))+((10941226878125 Gamma[5,((324 π y)/5)])/(18447414004224 (Sqrt[6]) (π^5) (q^(81/5))))+((3790061446875 (Sqrt[(3/2)]) Gamma[5,((344 π y)/5)])/(18666544058368 (π^5) (q^(86/5))))+((174126940625 (Sqrt[(3/2)]) Gamma[5,((364 π y)/5)])/(884342697056 (π^5) (q^(91/5))))+((733627365625 Gamma[5,((384 π y)/5)])/(1198295875584 (Sqrt[6]) (π^5) (q^(96/5))))+((16422032034375 (Sqrt[(3/2)]) Gamma[5,((404 π y)/5)])/(83408157575936 (π^5) (q^(101/5))))+((21563205159375 (Sqrt[(3/2)]) Gamma[5,((424 π y)/5)])/(106201581838336 (π^5) (q^(106/5))))+((6609345996875 Gamma[5,((444 π y)/5)])/(11143851265728 (Sqrt[6]) (π^5) (q^(111/5))))+((1092756328125 (Sqrt[(3/2)]) Gamma[5,((464 π y)/5)])/(5376874643456 (π^5) (q^(116/5))))+((81054955165625 (Sqrt[(3/2)]) Gamma[5,((484 π y)/5)])/(411678803267072 (π^5) (q^(121/5))))+((4282251634375 Gamma[5,((504 π y)/5)])/(7000867915776 (Sqrt[6]) (π^5) (q^(126/5))))+((30140226290625 (Sqrt[(3/2)]) Gamma[5,((524 π y)/5)])/(153083414935168 (π^5) (q^(131/5))))+((75041713828125 (Sqrt[(3/2)]) Gamma[5,((544 π y)/5)])/(369229337460736 (π^5) (q^(136/5))))+((910810253125 Gamma[5,((564 π y)/5)])/(1535694166872 (Sqrt[6]) (π^5) (q^(141/5))))+((106892754065625 (Sqrt[(3/2)]) Gamma[5,((584 π y)/5)])/(526460677185536 (π^5) (q^(146/5))))+((989197653125 (Sqrt[(3/2)]) Gamma[5,((604 π y)/5)])/(5024174448064 (π^5) (q^(151/5))))+((37406130059375 Gamma[5,((624 π y)/5)])/(61100308758528 (Sqrt[6]) (π^5) (q^(156/5))))+((170397665625 (Sqrt[(3/2)]) Gamma[5,((644 π y)/5)])/(865404934408 (π^5) (q^(161/5))))+((101553391603125 (Sqrt[(3/2)]) Gamma[5,((664 π y)/5)])/(500163624685568 (π^5) (q^(166/5))))+((114699529140625 Gamma[5,((684 π y)/5)])/(193388640656256 (Sqrt[6]) (π^5) (q^(171/5))))+((136189723321875 (Sqrt[(3/2)]) Gamma[5,((704 π y)/5)])/(670092878675968 (π^5) (q^(176/5))))+((303537882659375 (Sqrt[(3/2)]) Gamma[5,((724 π y)/5)])/(1541681047534336 (π^5) (q^(181/5))))+((1875992284375 Gamma[5,((744 π y)/5)])/(3067212721536 (Sqrt[6]) (π^5) (q^(186/5))))+((12411860446875 (Sqrt[(3/2)]) Gamma[5,((764 π y)/5)])/(63040335683848 (π^5) (q^(191/5))))+((4300030303125 (Sqrt[(3/2)]) Gamma[5,((784 π y)/5)])/(21156911906816 (π^5) (q^(196/5))))+((64341899678125 Gamma[5,((804 π y)/5)])/(108485252597664 (Sqrt[6]) (π^5) (q^(201/5))))+((149437673653125 (Sqrt[(3/2)]) Gamma[5,((824 π y)/5)])/(735999924291584 (π^5) (q^(206/5))))+((326740001603125 (Sqrt[(3/2)]) Gamma[5,((844 π y)/5)])/(1659525537738368 (π^5) (q^(211/5))))+((63457990234375 Gamma[5,((864 π y)/5)])/(103649667710976 (Sqrt[6]) (π^5) (q^(216/5))))+((411863090821875 (Sqrt[(3/2)]) Gamma[5,((884 π y)/5)])/(2091862005520768 (π^5) (q^(221/5))))+((950005639378125 (Sqrt[(3/2)]) Gamma[5,((904 π y)/5)])/(4678900986535936 (π^5) (q^(226/5))))+((488650221875 Gamma[5,((924 π y)/5)])/(823846668876 (Sqrt[6]) (π^5) (q^(231/5))))+((590371082109375 (Sqrt[(3/2)]) Gamma[5,((944 π y)/5)])/(2904903289274368 (π^5) (q^(236/5))))+((1270296901878125 (Sqrt[(3/2)]) Gamma[5,((964 π y)/5)])/(6451888776507136 (π^5) (q^(241/5))))+((40489328928125 Gamma[5,((984 π y)/5)])/(66199306401792 (Sqrt[6]) (π^5) (q^(246/5))));