This Mathematica notebook contains the moduar ansatz of reduced one-string elliptic genera of ((Subscript[h, 2])^(Subscript[E, 7])),((Subscript[h, 4])^(Subscript[E, 7])),((Subscript[h, 1])^(Subscript[E, 6])),((Subscript[h, 2])^(Subscript[E, 6])),((Subscript[h, 2])^SO11) theories. We also show the q expasnsion up to order 8  where the leading order has been shifted to zero.

η[q_]:=(q^(1/24))QPochhammer[q];
e[4][q_,qmax_]:=1+240Sum[(((n^3)(q^n))/(1-(q^n))),{n,1,qmax}];
e[6][q_,qmax_]:=1-504Sum[(((n^5)(q^n))/(1-(q^n))),{n,1,qmax}];
(Subscript[ϕ, 0,1])[v_,q_]:=4(∑_(l=2)^4)(((EllipticTheta[l,((Log[v])/(2 I)),(q^(1/2))])^2)/((EllipticTheta[l,0,(q^(1/2))])^2));
(Subscript[ϕ, -2,1])[v_,q_]:=-(((EllipticTheta[1,((Log[v])/(2 I)),(q^(1/2))])^2)/((η[q])^6));
(Subscript[ϕ2, -2,1])[v_,q_]:=-(((EllipticTheta[1,((Log[(v^2)])/(2 I)),(q^(1/2))])^2)/((η[q])^6));

n=1

G=(Subscript[E, 6])

(Subscript[(E^(Subscript[E, 6])), 1])=(1/(34503839932027276099584 (η^8) (Subscript[ϕ2, -2,1]^11)))(Subscript[ϕ, -2,1]^11) ((-2231520759 ((e[4])^12)+2231520759 ((e[4])^9) ((e[6])^2)-569327616 ((e[4])^6) ((e[6])^4)+32587776 ((e[4])^3) ((e[6])^6)-131072 ((e[6])^8)) (Subscript[ϕ, -2,1]^22)+32 e[4] e[6] (247946751 ((e[4])^9)-182441727 ((e[4])^6) ((e[6])^2)+27226368 ((e[4])^3) ((e[6])^4)-456704 ((e[6])^6)) (Subscript[ϕ, -2,1]^21) (Subscript[ϕ, 0,1])+3 ((e[4])^2) (2727414261 ((e[4])^9)-6588571509 ((e[4])^6) ((e[6])^2)+2532726144 ((e[4])^3) ((e[6])^4)-147963904 ((e[6])^6)) (Subscript[ϕ, -2,1]^20) (Subscript[ϕ, 0,1]^2)+32 e[6] (-851650605 ((e[4])^9)+885009645 ((e[4])^6) ((e[6])^2)-149978304 ((e[4])^3) ((e[6])^4)+1275904 ((e[6])^6)) (Subscript[ϕ, -2,1]^19) (Subscript[ϕ, 0,1]^3)-20 e[4] (680894019 ((e[4])^9)-2521403235 ((e[4])^6) ((e[6])^2)+1156082976 ((e[4])^3) ((e[6])^4)-53771264 ((e[6])^6)) (Subscript[ϕ, -2,1]^18) (Subscript[ϕ, 0,1]^4)+288 ((e[4])^2) e[6] (146846115 ((e[4])^6)-189735651 ((e[4])^3) ((e[6])^2)+31355200 ((e[6])^4)) (Subscript[ϕ, -2,1]^17) (Subscript[ϕ, 0,1]^5)+12 (1130843025 ((e[4])^9)-5509493073 ((e[4])^6) ((e[6])^2)+2738358720 ((e[4])^3) ((e[6])^4)-66790400 ((e[6])^6)) (Subscript[ϕ, -2,1]^16) (Subscript[ϕ, 0,1]^6)-96 e[4] e[6] (407106891 ((e[4])^6)-609017355 ((e[4])^3) ((e[6])^2)+83683520 ((e[6])^4)) (Subscript[ϕ, -2,1]^15) (Subscript[ϕ, 0,1]^7)-18 ((e[4])^2) (499186881 ((e[4])^6)-2964610881 ((e[4])^3) ((e[6])^2)+1485005440 ((e[6])^4)) (Subscript[ϕ, -2,1]^14) (Subscript[ϕ, 0,1]^8)+160 e[6] (149027769 ((e[4])^6)-246601593 ((e[4])^3) ((e[6])^2)+20077504 ((e[6])^4)) (Subscript[ϕ, -2,1]^13) (Subscript[ϕ, 0,1]^9)+2 e[4] (2071153881 ((e[4])^6)-14353444377 ((e[4])^3) ((e[6])^2)+6725624128 ((e[6])^4)) (Subscript[ϕ, -2,1]^12) (Subscript[ϕ, 0,1]^10)-96 ((e[4])^2) e[6] (104695821 ((e[4])^3)-186279949 ((e[6])^2)) (Subscript[ϕ, -2,1]^11) (Subscript[ϕ, 0,1]^11)-4 (337809123 ((e[4])^6)-2662379523 ((e[4])^3) ((e[6])^2)+935403808 ((e[6])^4)) (Subscript[ϕ, -2,1]^10) (Subscript[ϕ, 0,1]^12)+160 e[4] e[6] (18583317 ((e[4])^3)-37957397 ((e[6])^2)) (Subscript[ϕ, -2,1]^9) (Subscript[ϕ, 0,1]^13)+180 ((e[4])^2) (1717371 ((e[4])^3)-13972603 ((e[6])^2)) (Subscript[ϕ, -2,1]^8) (Subscript[ϕ, 0,1]^14)+96 e[6] (-7000281 ((e[4])^3)+14389465 ((e[6])^2)) (Subscript[ϕ, -2,1]^7) (Subscript[ϕ, 0,1]^15)+3 e[4] (-13641957 ((e[4])^3)+227027173 ((e[6])^2)) (Subscript[ϕ, -2,1]^6) (Subscript[ϕ, 0,1]^16)-51904512 ((e[4])^2) e[6] (Subscript[ϕ, -2,1]^5) (Subscript[ϕ, 0,1]^17)+(31391271 ((e[4])^3)-146734631 ((e[6])^2)) (Subscript[ϕ, -2,1]^4) (Subscript[ϕ, 0,1]^18)-14417920 e[4] e[6] (Subscript[ϕ, -2,1]^3) (Subscript[ϕ, 0,1]^19)+8650752 ((e[4])^2) (Subscript[ϕ, -2,1]^2) (Subscript[ϕ, 0,1]^20)+2883584 e[6] (Subscript[ϕ, -2,1]) (Subscript[ϕ, 0,1]^21)+262144 e[4] (Subscript[ϕ, 0,1]^22));

n=2

G=SO(11)

(Subscript[(E^SO11), 2])=(1/(7703510787293184 (Subscript[ϕ2, -2,1]^8)))(η^4) (Subscript[ϕ, -2,1]^9) (27 (57915 ((e[4])^8)-40656 ((e[4])^5) ((e[6])^2)+4096 ((e[4])^2) ((e[6])^4)) (Subscript[ϕ, -2,1]^16)-4 e[6] (948915 ((e[4])^6)-412992 ((e[4])^3) ((e[6])^2)+8192 ((e[6])^4)) (Subscript[ϕ, -2,1]^15) (Subscript[ϕ, 0,1])-6 e[4] (724383 ((e[4])^6)-1066392 ((e[4])^3) ((e[6])^2)+141824 ((e[6])^4)) (Subscript[ϕ, -2,1]^14) (Subscript[ϕ, 0,1]^2)+72 ((e[4])^2) e[6] (133281 ((e[4])^3)-71296 ((e[6])^2)) (Subscript[ϕ, -2,1]^13) (Subscript[ϕ, 0,1]^3)+2 (2656719 ((e[4])^6)-5578416 ((e[4])^3) ((e[6])^2)+590336 ((e[6])^4)) (Subscript[ϕ, -2,1]^12) (Subscript[ϕ, 0,1]^4)-12 e[4] e[6] (880767 ((e[4])^3)-514240 ((e[6])^2)) (Subscript[ϕ, -2,1]^11) (Subscript[ϕ, 0,1]^5)-54 ((e[4])^2) (69207 ((e[4])^3)-178864 ((e[6])^2)) (Subscript[ϕ, -2,1]^10) (Subscript[ϕ, 0,1]^6)+16 e[6] (413775 ((e[4])^3)-257696 ((e[6])^2)) (Subscript[ϕ, -2,1]^9) (Subscript[ϕ, 0,1]^7)+72 e[4] (23031 ((e[4])^3)-66022 ((e[6])^2)) (Subscript[ϕ, -2,1]^8) (Subscript[ϕ, 0,1]^8)-2585844 ((e[4])^2) e[6] (Subscript[ϕ, -2,1]^7) (Subscript[ϕ, 0,1]^9)+2 (-240543 ((e[4])^3)+1468840 ((e[6])^2)) (Subscript[ϕ, -2,1]^6) (Subscript[ϕ, 0,1]^10)-77496 e[4] e[6] (Subscript[ϕ, -2,1]^5) (Subscript[ϕ, 0,1]^11)+230706 ((e[4])^2) (Subscript[ϕ, -2,1]^4) (Subscript[ϕ, 0,1]^12)-458188 e[6] (Subscript[ϕ, -2,1]^3) (Subscript[ϕ, 0,1]^13)+97746 e[4] (Subscript[ϕ, -2,1]^2) (Subscript[ϕ, 0,1]^14)+9983 (Subscript[ϕ, 0,1]^16));

G=(Subscript[E, 6])

(Subscript[(E^(Subscript[E, 6])), 2])=(1/(46005119909369701466112 (Subscript[ϕ2, -2,1]^11)))(η^4) (Subscript[ϕ, -2,1]^12) (-9 ((e[4])^2) (247946751 ((e[4])^9)-231996960 ((e[4])^6) ((e[6])^2)+51757056 ((e[4])^3) ((e[6])^4)-2097152 ((e[6])^6)) (Subscript[ϕ, -2,1]^22)+8 e[6] (952637517 ((e[4])^9)-639280512 ((e[4])^6) ((e[6])^2)+76529664 ((e[4])^3) ((e[6])^4)-524288 ((e[6])^6)) (Subscript[ϕ, -2,1]^21) (Subscript[ϕ, 0,1])+3 e[4] (2805713235 ((e[4])^9)-6131998080 ((e[4])^6) ((e[6])^2)+2022395904 ((e[4])^3) ((e[6])^4)-73400320 ((e[6])^6)) (Subscript[ϕ, -2,1]^20) (Subscript[ϕ, 0,1]^2)-216 ((e[4])^2) e[6] (124442487 ((e[4])^6)-115062912 ((e[4])^3) ((e[6])^2)+14737408 ((e[6])^4)) (Subscript[ϕ, -2,1]^19) (Subscript[ϕ, 0,1]^3)+(-14462025201 ((e[4])^9)+47718637056 ((e[4])^6) ((e[6])^2)-18219921408 ((e[4])^3) ((e[6])^4)+382861312 ((e[6])^6)) (Subscript[ϕ, -2,1]^18) (Subscript[ϕ, 0,1]^4)+288 e[4] e[6] (149236749 ((e[4])^6)-168088896 ((e[4])^3) ((e[6])^2)+18949120 ((e[6])^4)) (Subscript[ϕ, -2,1]^17) (Subscript[ϕ, 0,1]^5)+81 ((e[4])^2) (184480983 ((e[4])^6)-790383744 ((e[4])^3) ((e[6])^2)+314601472 ((e[6])^4)) (Subscript[ϕ, -2,1]^16) (Subscript[ϕ, 0,1]^6)-96 e[6] (428181795 ((e[4])^6)-546702912 ((e[4])^3) ((e[6])^2)+40494080 ((e[6])^4)) (Subscript[ϕ, -2,1]^15) (Subscript[ϕ, 0,1]^7)-18 e[4] (573159483 ((e[4])^6)-2952280224 ((e[4])^3) ((e[6])^2)+1119225856 ((e[6])^4)) (Subscript[ϕ, -2,1]^14) (Subscript[ϕ, 0,1]^8)+144 ((e[4])^2) e[6] (181277595 ((e[4])^3)-249990592 ((e[6])^2)) (Subscript[ϕ, -2,1]^13) (Subscript[ϕ, 0,1]^9)+2 (2497907565 ((e[4])^6)-14773765824 ((e[4])^3) ((e[6])^2)+4855656448 ((e[6])^4)) (Subscript[ϕ, -2,1]^12) (Subscript[ϕ, 0,1]^10)-48 e[4] e[6] (240545673 ((e[4])^3)-345409856 ((e[6])^2)) (Subscript[ϕ, -2,1]^11) (Subscript[ϕ, 0,1]^11)-54 ((e[4])^2) (32015475 ((e[4])^3)-211220608 ((e[6])^2)) (Subscript[ϕ, -2,1]^10) (Subscript[ϕ, 0,1]^12)+32 e[6] (113403537 ((e[4])^3)-237016960 ((e[6])^2)) (Subscript[ϕ, -2,1]^9) (Subscript[ϕ, 0,1]^13)+18 e[4] (23618511 ((e[4])^3)-107570368 ((e[6])^2)) (Subscript[ϕ, -2,1]^8) (Subscript[ϕ, 0,1]^14)-1135578528 ((e[4])^2) e[6] (Subscript[ϕ, -2,1]^7) (Subscript[ϕ, 0,1]^15)+3 (-10350801 ((e[4])^3)+639336160 ((e[6])^2)) (Subscript[ϕ, -2,1]^6) (Subscript[ϕ, 0,1]^16)-473899608 e[4] e[6] (Subscript[ϕ, -2,1]^5) (Subscript[ϕ, 0,1]^17)+110582109 ((e[4])^2) (Subscript[ϕ, -2,1]^4) (Subscript[ϕ, 0,1]^18)-135878440 e[6] (Subscript[ϕ, -2,1]^3) (Subscript[ϕ, 0,1]^19)+33486531 e[4] (Subscript[ϕ, -2,1]^2) (Subscript[ϕ, 0,1]^20)+1557307 (Subscript[ϕ, 0,1]^22));

G=(Subscript[E, 7])

(Subscript[(E^(Subscript[E, 7])), 2])=-(((η^4) (Subscript[ϕ, -2,1]^18) (27 ((e[4])^2) (9395257751235 ((e[4])^15)-14367897158400 ((e[4])^12) ((e[6])^2)+7222483169280 ((e[4])^9) ((e[6])^4)-1380267786240 ((e[4])^6) ((e[6])^6)+87023419392 ((e[4])^3) ((e[6])^8)-1073741824 ((e[6])^10)) (Subscript[ϕ, -2,1]^34)+8 e[6] (-164568547061955 ((e[4])^15)+207752361239520 ((e[4])^12) ((e[6])^2)-79623472988160 ((e[4])^9) ((e[6])^4)+10056539308032 ((e[4])^6) ((e[6])^6)-304254812160 ((e[4])^3) ((e[6])^8)+536870912 ((e[6])^10)) (Subscript[ϕ, -2,1]^33) (Subscript[ϕ, 0,1])-3 e[4] (488250330233535 ((e[4])^15)-1743692953590720 ((e[4])^12) ((e[6])^2)+1367339374632960 ((e[4])^9) ((e[6])^4)-337170624675840 ((e[4])^6) ((e[6])^6)+22731911331840 ((e[4])^3) ((e[6])^8)-188978561024 ((e[6])^10)) (Subscript[ϕ, -2,1]^32) (Subscript[ϕ, 0,1]^2)+72 ((e[4])^2) e[6] (101011503710565 ((e[4])^12)-180225360313920 ((e[4])^9) ((e[6])^2)+87057563387904 ((e[4])^6) ((e[6])^4)-12142819934208 ((e[4])^3) ((e[6])^6)+309875179520 ((e[6])^8)) (Subscript[ϕ, -2,1]^31) (Subscript[ϕ, 0,1]^3)+16 (248969105014095 ((e[4])^15)-1362954516746580 ((e[4])^12) ((e[6])^2)+1340910549688320 ((e[4])^9) ((e[6])^4)-373938315706368 ((e[4])^6) ((e[6])^6)+23744757104640 ((e[4])^3) ((e[6])^8)-85647687680 ((e[6])^10)) (Subscript[ϕ, -2,1]^30) (Subscript[ϕ, 0,1]^4)-24 e[4] e[6] (786810743217225 ((e[4])^12)-1775198379684096 ((e[4])^9) ((e[6])^2)+984214602510336 ((e[4])^6) ((e[6])^4)-138808336711680 ((e[4])^3) ((e[6])^6)+2415130574848 ((e[6])^8)) (Subscript[ϕ, -2,1]^29) (Subscript[ϕ, 0,1]^5)-2592 ((e[4])^2) (2614546132515 ((e[4])^12)-18933053622588 ((e[4])^9) ((e[6])^2)+21695850449280 ((e[4])^6) ((e[6])^4)-6393642967040 ((e[4])^3) ((e[6])^6)+339810451456 ((e[6])^8)) (Subscript[ϕ, -2,1]^28) (Subscript[ϕ, 0,1]^6)+8 e[6] (3825102862044405 ((e[4])^12)-10246748995581120 ((e[4])^9) ((e[6])^2)+6183958068449280 ((e[4])^6) ((e[6])^4)-817821597302784 ((e[4])^3) ((e[6])^6)+6417947820032 ((e[6])^8)) (Subscript[ϕ, -2,1]^27) (Subscript[ϕ, 0,1]^7)+108 e[4] (74794047325191 ((e[4])^12)-663888507672672 ((e[4])^9) ((e[6])^2)+847731684280320 ((e[4])^6) ((e[6])^4)-250627185672192 ((e[4])^3) ((e[6])^6)+9400207015936 ((e[6])^8)) (Subscript[ϕ, -2,1]^26) (Subscript[ϕ, 0,1]^8)-648 ((e[4])^2) e[6] (53481371586831 ((e[4])^9)-163265069910240 ((e[4])^6) ((e[6])^2)+103188776685568 ((e[4])^3) ((e[6])^4)-11728200138752 ((e[6])^6)) (Subscript[ϕ, -2,1]^25) (Subscript[ϕ, 0,1]^9)-12 (596588966132823 ((e[4])^12)-6194813601209040 ((e[4])^9) ((e[6])^2)+8540089933971456 ((e[4])^6) ((e[6])^4)-2408500603256832 ((e[4])^3) ((e[6])^6)+44255861014528 ((e[6])^8)) (Subscript[ϕ, -2,1]^24) (Subscript[ϕ, 0,1]^10)+72 e[4] e[6] (404168097449097 ((e[4])^9)-1365682560322176 ((e[4])^6) ((e[6])^2)+874529567170560 ((e[4])^3) ((e[6])^4)-74801594761216 ((e[6])^6)) (Subscript[ϕ, -2,1]^23) (Subscript[ϕ, 0,1]^11)+864 ((e[4])^2) (5654061621657 ((e[4])^9)-66550765406778 ((e[4])^6) ((e[6])^2)+96600356611584 ((e[4])^3) ((e[6])^4)-24483815874560 ((e[6])^6)) (Subscript[ϕ, -2,1]^22) (Subscript[ϕ, 0,1]^12)+24 e[6] (-781369726238829 ((e[4])^9)+2859097426843392 ((e[4])^6) ((e[6])^2)-1796080657158144 ((e[4])^3) ((e[6])^4)+86357641658368 ((e[6])^6)) (Subscript[ϕ, -2,1]^21) (Subscript[ϕ, 0,1]^13)-144 e[4] (18203889872421 ((e[4])^9)-237469944657744 ((e[4])^6) ((e[6])^2)+355246047889920 ((e[4])^3) ((e[6])^4)-74205520707584 ((e[6])^6)) (Subscript[ϕ, -2,1]^20) (Subscript[ϕ, 0,1]^14)+648 ((e[4])^2) e[6] (14611891839993 ((e[4])^6)-56917725236608 ((e[4])^3) ((e[6])^2)+33863273984000 ((e[6])^4)) (Subscript[ϕ, -2,1]^19) (Subscript[ϕ, 0,1]^15)+6 (186615658173285 ((e[4])^9)-2653548944891904 ((e[4])^6) ((e[6])^2)+4011822947358720 ((e[4])^3) ((e[6])^4)-588418175565824 ((e[6])^6)) (Subscript[ϕ, -2,1]^18) (Subscript[ϕ, 0,1]^16)-216 e[4] e[6] (17543672854155 ((e[4])^6)-71777350015200 ((e[4])^3) ((e[6])^2)+38771078975488 ((e[6])^4)) (Subscript[ϕ, -2,1]^17) (Subscript[ϕ, 0,1]^17)-162 ((e[4])^2) (2362750161291 ((e[4])^6)-36174534177632 ((e[4])^3) ((e[6])^2)+54200118456320 ((e[6])^4)) (Subscript[ϕ, -2,1]^16) (Subscript[ϕ, 0,1]^18)+24 e[6] (50317701092973 ((e[4])^6)-214094922494400 ((e[4])^3) ((e[6])^2)+116950635530240 ((e[6])^4)) (Subscript[ϕ, -2,1]^15) (Subscript[ϕ, 0,1]^19)+144 e[4] (726918052059 ((e[4])^6)-11878246700460 ((e[4])^3) ((e[6])^2)+15669346251776 ((e[6])^4)) (Subscript[ϕ, -2,1]^14) (Subscript[ϕ, 0,1]^20)-216 ((e[4])^2) e[6] (1415442837315 ((e[4])^3)-6635381817344 ((e[6])^2)) (Subscript[ϕ, -2,1]^13) (Subscript[ϕ, 0,1]^21)-384 (59345092260 ((e[4])^6)-969285962781 ((e[4])^3) ((e[6])^2)+2754410836768 ((e[6])^4)) (Subscript[ϕ, -2,1]^12) (Subscript[ϕ, 0,1]^22)+72 e[4] e[6] (893555884071 ((e[4])^3)+396409044032 ((e[6])^2)) (Subscript[ϕ, -2,1]^11) (Subscript[ϕ, 0,1]^23)+324 ((e[4])^2) (11331108697 ((e[4])^3)-565238925728 ((e[6])^2)) (Subscript[ϕ, -2,1]^10) (Subscript[ϕ, 0,1]^24)+168 e[6] (85260649599 ((e[4])^3)+1088783730464 ((e[6])^2)) (Subscript[ϕ, -2,1]^9) (Subscript[ϕ, 0,1]^25)-756 e[4] (3652541325 ((e[4])^3)+92633771696 ((e[6])^2)) (Subscript[ϕ, -2,1]^8) (Subscript[ϕ, 0,1]^26)+23963043124440 ((e[4])^2) e[6] (Subscript[ϕ, -2,1]^7) (Subscript[ϕ, 0,1]^27)-64 (41645283372 ((e[4])^3)+205996530361 ((e[6])^2)) (Subscript[ϕ, -2,1]^6) (Subscript[ϕ, 0,1]^28)+5575934891928 e[4] e[6] (Subscript[ϕ, -2,1]^5) (Subscript[ϕ, 0,1]^29)-897951697488 ((e[4])^2) (Subscript[ϕ, -2,1]^4) (Subscript[ϕ, 0,1]^30)+317859718424 e[6] (Subscript[ϕ, -2,1]^3) (Subscript[ϕ, 0,1]^31)-82023203847 e[4] (Subscript[ϕ, -2,1]^2) (Subscript[ϕ, 0,1]^32)-1413836245 (Subscript[ϕ, 0,1]^34)))/(68364378374333704222737683932250112 (Subscript[ϕ2, -2,1]^17)));

n=4

G=(Subscript[E, 7])

(Subscript[(E^(Subscript[E, 7])), 4])=-(((Subscript[ϕ, -2,1]^12) ((61642286105852835 ((e[4])^21)-209745795495183840 ((e[4])^18) ((e[6])^2)+272441489604986880 ((e[4])^15) ((e[6])^4)-167907063271587840 ((e[4])^12) ((e[6])^6)+49480642445967360 ((e[4])^9) ((e[6])^8)-6131341766688768 ((e[4])^6) ((e[6])^10)+220331822284800 ((e[4])^3) ((e[6])^12)-549755813888 ((e[6])^14)) (Subscript[ϕ, -2,1]^42)-24 e[4] e[6] (12593585333453805 ((e[4])^18)-39472874318799360 ((e[4])^15) ((e[6])^2)+45729400339482624 ((e[4])^12) ((e[6])^4)-23818637398376448 ((e[4])^9) ((e[6])^6)+5377472631668736 ((e[4])^6) ((e[6])^8)-413774464942080 ((e[4])^3) ((e[6])^10)+4827543240704 ((e[6])^12)) (Subscript[ϕ, -2,1]^41) (Subscript[ϕ, 0,1])-9 ((e[4])^2) (41021210706045435 ((e[4])^18)-210645733688147520 ((e[4])^15) ((e[6])^2)+384853435440445440 ((e[4])^12) ((e[6])^4)-318247184794779648 ((e[4])^9) ((e[6])^6)+120012473238552576 ((e[4])^6) ((e[6])^8)-17595742814208000 ((e[4])^3) ((e[6])^10)+601553119477760 ((e[6])^12)) (Subscript[ϕ, -2,1]^40) (Subscript[ϕ, 0,1]^2)+8 e[6] (216054862611553485 ((e[4])^18)-769180850749152000 ((e[4])^15) ((e[6])^2)+1022616388627347456 ((e[4])^12) ((e[6])^4)-614048594949439488 ((e[4])^9) ((e[6])^6)+156770864656809984 ((e[4])^6) ((e[6])^8)-12286456177360896 ((e[4])^3) ((e[6])^10)+73890617360384 ((e[6])^12)) (Subscript[ϕ, -2,1]^39) (Subscript[ϕ, 0,1]^3)+6 e[4] (174061007585541765 ((e[4])^18)-1170125475018529680 ((e[4])^15) ((e[6])^2)+2499750494499732480 ((e[4])^12) ((e[6])^4)-2325515463281737728 ((e[4])^9) ((e[6])^6)+965933860116234240 ((e[4])^6) ((e[6])^8)-148061422683684864 ((e[4])^3) ((e[6])^10)+3956111556214784 ((e[6])^12)) (Subscript[ϕ, -2,1]^38) (Subscript[ϕ, 0,1]^4)-216 ((e[4])^2) e[6] (21565888818904935 ((e[4])^15)-84857959527356160 ((e[4])^12) ((e[6])^2)+123341466265178112 ((e[4])^9) ((e[6])^4)-79912738587672576 ((e[4])^6) ((e[6])^6)+21403612055863296 ((e[4])^3) ((e[6])^8)-1540402368741376 ((e[6])^10)) (Subscript[ϕ, -2,1]^37) (Subscript[ϕ, 0,1]^5)-14 (132430373215105149 ((e[4])^18)-1081478797460667648 ((e[4])^15) ((e[6])^2)+2539088289406964736 ((e[4])^12) ((e[6])^4)-2522987283683672064 ((e[4])^9) ((e[6])^6)+1094933946065485824 ((e[4])^6) ((e[6])^8)-164452794793721856 ((e[4])^3) ((e[6])^10)+2476418013331456 ((e[6])^12)) (Subscript[ϕ, -2,1]^36) (Subscript[ϕ, 0,1]^6)+72 e[4] e[6] (109160445091920111 ((e[4])^15)-464864848776813312 ((e[4])^12) ((e[6])^2)+716541796655935488 ((e[4])^9) ((e[6])^4)-482814131380420608 ((e[4])^6) ((e[6])^6)+129651349565472768 ((e[4])^3) ((e[6])^8)-7665523949043712 ((e[6])^10)) (Subscript[ϕ, -2,1]^35) (Subscript[ϕ, 0,1]^7)+27 ((e[4])^2) (85727995049325249 ((e[4])^15)-811717657697941632 ((e[4])^12) ((e[6])^2)+2027895038552733696 ((e[4])^9) ((e[6])^4)-2091014592029982720 ((e[4])^6) ((e[6])^6)+916706950102646784 ((e[4])^3) ((e[6])^8)-127700443156447232 ((e[6])^10)) (Subscript[ϕ, -2,1]^34) (Subscript[ϕ, 0,1]^8)+32 e[6] (-290649010503550239 ((e[4])^15)+1317055789559995200 ((e[4])^12) ((e[6])^2)-2106297256865278464 ((e[4])^9) ((e[6])^4)+1438521839681863680 ((e[4])^6) ((e[6])^6)-373307295771131904 ((e[4])^3) ((e[6])^8)+15006536946417664 ((e[6])^10)) (Subscript[ϕ, -2,1]^33) (Subscript[ϕ, 0,1]^9)-3 e[4] (719326083323457873 ((e[4])^15)-7647312851736083712 ((e[4])^12) ((e[6])^2)+19903151857253124096 ((e[4])^9) ((e[6])^4)-20857873308761456640 ((e[4])^6) ((e[6])^6)+8990080181364326400 ((e[4])^3) ((e[6])^8)-1095440903943749632 ((e[6])^10)) (Subscript[ϕ, -2,1]^32) (Subscript[ϕ, 0,1]^10)+288 ((e[4])^2) e[6] (28453835685051837 ((e[4])^12)-135261861305872320 ((e[4])^9) ((e[6])^2)+220565510599131648 ((e[4])^6) ((e[6])^4)-149504765091840000 ((e[4])^3) ((e[6])^6)+36118244406329344 ((e[6])^8)) (Subscript[ϕ, -2,1]^31) (Subscript[ϕ, 0,1]^11)+8 (194622551034679377 ((e[4])^15)-2268809653545538992 ((e[4])^12) ((e[6])^2)+6052946888200165632 ((e[4])^9) ((e[6])^4)-6335663601840685056 ((e[4])^6) ((e[6])^6)+2618571721345597440 ((e[4])^3) ((e[6])^8)-296855813916459008 ((e[6])^10)) (Subscript[ϕ, -2,1]^30) (Subscript[ϕ, 0,1]^12)-672 e[4] e[6] (8287007218181541 ((e[4])^12)-40821007367193408 ((e[4])^9) ((e[6])^2)+66857987057559552 ((e[4])^6) ((e[6])^4)-44105015975215104 ((e[4])^3) ((e[6])^6)+8803711025414144 ((e[6])^8)) (Subscript[ϕ, -2,1]^29) (Subscript[ϕ, 0,1]^13)-648 ((e[4])^2) (1371641981415453 ((e[4])^12)-17215690156529472 ((e[4])^9) ((e[6])^2)+46441992690153216 ((e[4])^6) ((e[6])^4)-47775796321222656 ((e[4])^3) ((e[6])^6)+19279097774473216 ((e[6])^8)) (Subscript[ϕ, -2,1]^28) (Subscript[ϕ, 0,1]^14)+32 e[6] (93217459084986267 ((e[4])^12)-470635916632551360 ((e[4])^9) ((e[6])^2)+763452273736820736 ((e[4])^6) ((e[6])^4)-464838682188054528 ((e[4])^3) ((e[6])^6)+157451064627429376 ((e[6])^8)) (Subscript[ϕ, -2,1]^27) (Subscript[ϕ, 0,1]^15)+54 e[4] (7535645794140633 ((e[4])^12)-100351280857684320 ((e[4])^9) ((e[6])^2)+270302800961111040 ((e[4])^6) ((e[6])^4)-275686450784796672 ((e[4])^3) ((e[6])^6)+21208189049503744 ((e[6])^8)) (Subscript[ϕ, -2,1]^26) (Subscript[ϕ, 0,1]^16)-1296 ((e[4])^2) e[6] (984481931441673 ((e[4])^9)-5044786872317568 ((e[4])^6) ((e[6])^2)+7828063165338624 ((e[4])^3) ((e[6])^4)-8512774451167232 ((e[6])^6)) (Subscript[ϕ, -2,1]^25) (Subscript[ϕ, 0,1]^17)-6 (25081951012828641 ((e[4])^12)-350117661609654336 ((e[4])^9) ((e[6])^2)+946110292640381952 ((e[4])^6) ((e[6])^4)-97476062033018880 ((e[4])^3) ((e[6])^6)+835216200169422848 ((e[6])^8)) (Subscript[ϕ, -2,1]^24) (Subscript[ϕ, 0,1]^18)+144 e[4] e[6] (3046500035321499 ((e[4])^9)-15478759364015232 ((e[4])^6) ((e[6])^2)+47392863954895872 ((e[4])^3) ((e[6])^4)+32345081226919936 ((e[6])^6)) (Subscript[ϕ, -2,1]^23) (Subscript[ϕ, 0,1]^19)+756 ((e[4])^2) (59583032286633 ((e[4])^9)-873259852979088 ((e[4])^6) ((e[6])^2)-191786502117888 ((e[4])^3) ((e[6])^4)-12657333421146112 ((e[6])^6)) (Subscript[ϕ, -2,1]^22) (Subscript[ϕ, 0,1]^20)+48 e[6] (-2504745517862745 ((e[4])^9)+28202982974932608 ((e[4])^6) ((e[6])^2)+129362638131615744 ((e[4])^3) ((e[6])^4)+50371056310550528 ((e[6])^6)) (Subscript[ϕ, -2,1]^21) (Subscript[ϕ, 0,1]^21)-36 e[4] (304619891764257 ((e[4])^9)+1090739204263296 ((e[4])^6) ((e[6])^2)+136410141964534272 ((e[4])^3) ((e[6])^4)+96105893150556160 ((e[6])^6)) (Subscript[ϕ, -2,1]^20) (Subscript[ϕ, 0,1]^22)+1296 ((e[4])^2) e[6] (47442626325153 ((e[4])^6)+1463374139497344 ((e[4])^3) ((e[6])^2)+3442611465033728 ((e[6])^4)) (Subscript[ϕ, -2,1]^19) (Subscript[ϕ, 0,1]^23)-174 (3880848184623 ((e[4])^9)+3766698814201920 ((e[4])^6) ((e[6])^2)+18045246583766016 ((e[4])^3) ((e[6])^4)+3223839157682176 ((e[6])^6)) (Subscript[ϕ, -2,1]^18) (Subscript[ϕ, 0,1]^24)+864 e[4] e[6] (129815284296663 ((e[4])^6)+1921273767777600 ((e[4])^3) ((e[6])^2)+984656966237696 ((e[6])^4)) (Subscript[ϕ, -2,1]^17) (Subscript[ϕ, 0,1]^25)-4698 ((e[4])^2) (2230014446955 ((e[4])^6)+115313719215744 ((e[4])^3) ((e[6])^2)+179196055098368 ((e[6])^4)) (Subscript[ϕ, -2,1]^16) (Subscript[ϕ, 0,1]^26)+6496 e[6] (16865609201955 ((e[4])^6)+74131670145600 ((e[4])^3) ((e[6])^2)+9112013138432 ((e[6])^4)) (Subscript[ϕ, -2,1]^15) (Subscript[ϕ, 0,1]^27)-696 e[4] (14089749501105 ((e[4])^6)+252605587721616 ((e[4])^3) ((e[6])^2)+112938146319104 ((e[6])^4)) (Subscript[ϕ, -2,1]^14) (Subscript[ϕ, 0,1]^28)+8928 ((e[4])^2) e[6] (4043347786629 ((e[4])^3)+6328520648512 ((e[6])^2)) (Subscript[ϕ, -2,1]^13) (Subscript[ϕ, 0,1]^29)-8 (408306262773573 ((e[4])^6)+2733963324169536 ((e[4])^3) ((e[6])^2)+312610053987584 ((e[6])^4)) (Subscript[ϕ, -2,1]^12) (Subscript[ϕ, 0,1]^30)+96 e[4] e[6] (46969436278701 ((e[4])^3)+24997283071552 ((e[6])^2)) (Subscript[ϕ, -2,1]^11) (Subscript[ϕ, 0,1]^31)-27 ((e[4])^2) (13816672181163 ((e[4])^3)+38533593344672 ((e[6])^2)) (Subscript[ϕ, -2,1]^10) (Subscript[ϕ, 0,1]^32)+8 e[6] (24636735476289 ((e[4])^3)+3998662195456 ((e[6])^2)) (Subscript[ϕ, -2,1]^9) (Subscript[ϕ, 0,1]^33)-63 e[4] (195608560185 ((e[4])^3)+248837505088 ((e[6])^2)) (Subscript[ϕ, -2,1]^8) (Subscript[ϕ, 0,1]^34)+2379107880360 ((e[4])^2) e[6] (Subscript[ϕ, -2,1]^7) (Subscript[ϕ, 0,1]^35)-2 (31951634625 ((e[4])^3)+27986203696 ((e[6])^2)) (Subscript[ϕ, -2,1]^6) (Subscript[ϕ, 0,1]^36)+2232908376 e[4] e[6] (Subscript[ϕ, -2,1]^5) (Subscript[ϕ, 0,1]^37)+30890250 ((e[4])^2) (Subscript[ϕ, -2,1]^4) (Subscript[ϕ, 0,1]^38)+3318136 e[6] (Subscript[ϕ, -2,1]^3) (Subscript[ϕ, 0,1]^39)-1537737 e[4] (Subscript[ϕ, -2,1]^2) (Subscript[ϕ, 0,1]^40)+41137 (Subscript[ϕ, 0,1]^42)))/(88186294078145187034965333300902556761849856 (η^20) (Subscript[ϕ2, -2,1]^17)));

-(1/((((-1+v))^10) (((1+v))^34)))(v^11) (1+24 v+305 (v^2)+2720 (v^3)+14385 (v^4)+10328 (v^5)-213107 (v^6)+227936 (v^7)+3681535 (v^8)-15349240 (v^9)+32121373 (v^10)-40005232 (v^11)+32121373 (v^12)-15349240 (v^13)+3681535 (v^14)+227936 (v^15)-213107 (v^16)+10328 (v^17)+14385 (v^18)+2720 (v^19)+305 (v^20)+24 (v^21)+(v^22))+(1/((((-1+v))^10) (((1+v))^34)))(v^9) (9+216 v+2296 (v^2)+13704 (v^3)+35681 (v^4)-191536 (v^5)-2195202 (v^6)-3469024 (v^7)+34360924 (v^8)+12656096 (v^9)-543596903 (v^10)+1892316824 (v^11)-3595032965 (v^12)+4390454000 (v^13)-3595032965 (v^14)+1892316824 (v^15)-543596903 (v^16)+12656096 (v^17)+34360924 (v^18)-3469024 (v^19)-2195202 (v^20)-191536 (v^21)+35681 (v^22)+13704 (v^23)+2296 (v^24)+216 (v^25)+9 (v^26)) q+(1/((((-1+v))^10) (v^3) (((1+v))^34)))(1+24 v+266 (v^2)+1784 (v^3)+7911 (v^4)+23344 (v^5)+40636 (v^6)+9264 (v^7)-165238 (v^8)-478912 (v^9)-556440 (v^10)+298240 (v^11)+2128520 (v^12)+3082560 (v^13)+550409 (v^14)-3596776 (v^15)+700889 (v^16)+4057056 (v^17)-152281616 (v^18)-456584704 (v^19)+2336222907 (v^20)+3518750120 (v^21)-39318682643 (v^22)+116568917840 (v^23)-205266204842 (v^24)+245300442560 (v^25)-205266204842 (v^26)+116568917840 (v^27)-39318682643 (v^28)+3518750120 (v^29)+2336222907 (v^30)-456584704 (v^31)-152281616 (v^32)+4057056 (v^33)+700889 (v^34)-3596776 (v^35)+550409 (v^36)+3082560 (v^37)+2128520 (v^38)+298240 (v^39)-556440 (v^40)-478912 (v^41)-165238 (v^42)+9264 (v^43)+40636 (v^44)+23344 (v^45)+7911 (v^46)+1784 (v^47)+266 (v^48)+24 (v^49)+(v^50)) (q^2)+(1/((((-1+v))^10) (v^5) (((1+v))^34)))(133+2968 v+30142 (v^2)+181048 (v^3)+689812 (v^4)+1583048 (v^5)+1289736 (v^6)-4557256 (v^7)-18160096 (v^8)-24750520 (v^9)+11527121 (v^10)+99398192 (v^11)+140533368 (v^12)-28415888 (v^13)-371622426 (v^14)-468305664 (v^15)+101124822 (v^16)+1079768624 (v^17)+1758536636 (v^18)+1201001616 (v^19)-8948098843 (v^20)-35689905400 (v^21)+94419997502 (v^22)+281480553480 (v^23)-1852610135319 (v^24)+4805915623088 (v^25)-7955500120108 (v^26)+9332969375888 (v^27)-7955500120108 (v^28)+4805915623088 (v^29)-1852610135319 (v^30)+281480553480 (v^31)+94419997502 (v^32)-35689905400 (v^33)-8948098843 (v^34)+1201001616 (v^35)+1758536636 (v^36)+1079768624 (v^37)+101124822 (v^38)-468305664 (v^39)-371622426 (v^40)-28415888 (v^41)+140533368 (v^42)+99398192 (v^43)+11527121 (v^44)-24750520 (v^45)-18160096 (v^46)-4557256 (v^47)+1289736 (v^48)+1583048 (v^49)+689812 (v^50)+181048 (v^51)+30142 (v^52)+2968 (v^53)+133 (v^54)) (q^3)+(1/((((-1+v))^10) (v^7) (((1+v))^34)))(7371+150984 v+1379855 (v^2)+7213760 (v^3)+22300305 (v^4)+32499512 (v^5)-32572277 (v^6)-252945648 (v^7)-438572547 (v^8)+80757800 (v^9)+1590185774 (v^10)+2182830856 (v^11)-1301117169 (v^12)-6862074336 (v^13)-4256604675 (v^14)+10850256216 (v^15)+18344377949 (v^16)-7908490560 (v^17)-46555176815 (v^18)-23990305416 (v^19)+98055494050 (v^20)+216546552760 (v^21)-184743607501 (v^22)-1788205999184 (v^23)+2239774014885 (v^24)+13565904866280 (v^25)-64302524207535 (v^26)+149664342880240 (v^27)-235464619399970 (v^28)+272014399573792 (v^29)-235464619399970 (v^30)+149664342880240 (v^31)-64302524207535 (v^32)+13565904866280 (v^33)+2239774014885 (v^34)-1788205999184 (v^35)-184743607501 (v^36)+216546552760 (v^37)+98055494050 (v^38)-23990305416 (v^39)-46555176815 (v^40)-7908490560 (v^41)+18344377949 (v^42)+10850256216 (v^43)-4256604675 (v^44)-6862074336 (v^45)-1301117169 (v^46)+2182830856 (v^47)+1590185774 (v^48)+80757800 (v^49)-438572547 (v^50)-252945648 (v^51)-32572277 (v^52)+32499512 (v^53)+22300305 (v^54)+7213760 (v^55)+1379855 (v^56)+150984 (v^57)+7371 (v^58)) (q^4)+(1/((((-1+v))^10) (v^9) (((1+v))^34)))(238602+4446000 v+36043620 (v^2)+159430704 (v^3)+367559876 (v^4)+118171376 (v^5)-1789656140 (v^6)-4631324560 (v^7)-1524503757 (v^8)+13871036312 (v^9)+23522822001 (v^10)-11557462560 (v^11)-70253515416 (v^12)-28581791744 (v^13)+136656555524 (v^14)+133481642048 (v^15)-230456346600 (v^16)-369383311712 (v^17)+375418877713 (v^18)+950483809752 (v^19)-552251099618 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