Properties

 Label 800.6 Level 800 Weight 6 Dimension 49565 Nonzero newspaces 20 Sturm bound 230400 Trace bound 7

Defining parameters

 Level: $$N$$ = $$800 = 2^{5} \cdot 5^{2}$$ Weight: $$k$$ = $$6$$ Nonzero newspaces: $$20$$ Sturm bound: $$230400$$ Trace bound: $$7$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{6}(\Gamma_1(800))$$.

Total New Old
Modular forms 96896 49975 46921
Cusp forms 95104 49565 45539
Eisenstein series 1792 410 1382

Trace form

 $$49565q - 52q^{2} - 40q^{3} - 52q^{4} - 64q^{5} - 84q^{6} - 136q^{7} - 52q^{8} + 209q^{9} + O(q^{10})$$ $$49565q - 52q^{2} - 40q^{3} - 52q^{4} - 64q^{5} - 84q^{6} - 136q^{7} - 52q^{8} + 209q^{9} - 64q^{10} - 64q^{11} - 1636q^{12} + 58q^{13} + 2428q^{14} - 48q^{15} + 4096q^{16} + 1786q^{17} - 1672q^{18} - 32q^{19} - 64q^{20} - 5972q^{21} - 12432q^{22} - 704q^{23} + 21408q^{24} - 96q^{25} + 12816q^{26} - 5560q^{27} - 2232q^{28} + 37882q^{29} - 64q^{30} + 7284q^{31} - 18632q^{32} - 64752q^{33} - 6304q^{34} - 4824q^{35} + 65504q^{36} + 67970q^{37} + 356q^{38} + 17288q^{39} - 64q^{40} + 41662q^{41} - 53672q^{42} + 34656q^{43} + 3668q^{44} - 61624q^{45} + 63244q^{46} - 75828q^{47} + 112320q^{48} - 79543q^{49} - 64q^{50} + 21728q^{51} + 18420q^{52} + 34978q^{53} + 1264q^{54} + 12452q^{55} - 81064q^{56} - 138988q^{57} - 84624q^{58} - 28992q^{59} - 16448q^{60} + 204586q^{61} + 63432q^{62} - 137876q^{63} - 1155256q^{64} - 141632q^{65} - 5572q^{66} + 117312q^{67} + 1062592q^{68} + 869036q^{69} + 798992q^{70} + 224768q^{71} + 1466564q^{72} + 80734q^{73} + 19100q^{74} - 127784q^{75} - 718244q^{76} - 783652q^{77} - 3473948q^{78} - 251484q^{79} - 985824q^{80} - 1135207q^{81} - 1033972q^{82} - 582160q^{83} - 242224q^{84} + 63200q^{85} + 998128q^{86} - 23784q^{87} + 2291920q^{88} + 864302q^{89} + 2382896q^{90} + 858928q^{91} + 2119896q^{92} + 1614400q^{93} + 631896q^{94} - 25972q^{95} - 2934736q^{96} - 1026526q^{97} - 3639608q^{98} + 338496q^{99} + O(q^{100})$$

Decomposition of $$S_{6}^{\mathrm{new}}(\Gamma_1(800))$$

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space $$S_k^{\mathrm{new}}(N, \chi)$$ we list the newforms together with their dimension.

Label $$\chi$$ Newforms Dimension $$\chi$$ degree
800.6.a $$\chi_{800}(1, \cdot)$$ 800.6.a.a 1 1
800.6.a.b 1
800.6.a.c 1
800.6.a.d 1
800.6.a.e 1
800.6.a.f 2
800.6.a.g 2
800.6.a.h 2
800.6.a.i 2
800.6.a.j 2
800.6.a.k 2
800.6.a.l 2
800.6.a.m 2
800.6.a.n 3
800.6.a.o 3
800.6.a.p 4
800.6.a.q 4
800.6.a.r 4
800.6.a.s 5
800.6.a.t 5
800.6.a.u 5
800.6.a.v 5
800.6.a.w 6
800.6.a.x 6
800.6.a.y 6
800.6.a.z 6
800.6.a.ba 6
800.6.a.bb 6
800.6.c $$\chi_{800}(449, \cdot)$$ 800.6.c.a 2 1
800.6.c.b 2
800.6.c.c 2
800.6.c.d 4
800.6.c.e 4
800.6.c.f 4
800.6.c.g 4
800.6.c.h 4
800.6.c.i 4
800.6.c.j 6
800.6.c.k 6
800.6.c.l 8
800.6.c.m 8
800.6.c.n 10
800.6.c.o 10
800.6.c.p 12
800.6.d $$\chi_{800}(401, \cdot)$$ 800.6.d.a 4 1
800.6.d.b 20
800.6.d.c 20
800.6.d.d 20
800.6.d.e 28
800.6.f $$\chi_{800}(49, \cdot)$$ 800.6.f.a 8 1
800.6.f.b 20
800.6.f.c 20
800.6.f.d 40
800.6.j $$\chi_{800}(407, \cdot)$$ None 0 2
800.6.l $$\chi_{800}(201, \cdot)$$ None 0 2
800.6.n $$\chi_{800}(543, \cdot)$$ n/a 180 2
800.6.o $$\chi_{800}(143, \cdot)$$ n/a 176 2
800.6.q $$\chi_{800}(249, \cdot)$$ None 0 2
800.6.s $$\chi_{800}(7, \cdot)$$ None 0 2
800.6.u $$\chi_{800}(161, \cdot)$$ n/a 600 4
800.6.v $$\chi_{800}(43, \cdot)$$ n/a 1432 4
800.6.y $$\chi_{800}(101, \cdot)$$ n/a 1508 4
800.6.ba $$\chi_{800}(149, \cdot)$$ n/a 1432 4
800.6.bb $$\chi_{800}(107, \cdot)$$ n/a 1432 4
800.6.be $$\chi_{800}(209, \cdot)$$ n/a 592 4
800.6.bg $$\chi_{800}(129, \cdot)$$ n/a 600 4
800.6.bj $$\chi_{800}(81, \cdot)$$ n/a 592 4
800.6.bl $$\chi_{800}(23, \cdot)$$ None 0 8
800.6.bm $$\chi_{800}(41, \cdot)$$ None 0 8
800.6.bp $$\chi_{800}(47, \cdot)$$ n/a 1184 8
800.6.bq $$\chi_{800}(63, \cdot)$$ n/a 1200 8
800.6.bt $$\chi_{800}(9, \cdot)$$ None 0 8
800.6.bu $$\chi_{800}(87, \cdot)$$ None 0 8
800.6.bx $$\chi_{800}(67, \cdot)$$ n/a 9568 16
800.6.by $$\chi_{800}(29, \cdot)$$ n/a 9568 16
800.6.ca $$\chi_{800}(21, \cdot)$$ n/a 9568 16
800.6.cd $$\chi_{800}(3, \cdot)$$ n/a 9568 16

"n/a" means that newforms for that character have not been added to the database yet

Decomposition of $$S_{6}^{\mathrm{old}}(\Gamma_1(800))$$ into lower level spaces

$$S_{6}^{\mathrm{old}}(\Gamma_1(800)) \cong$$ $$S_{6}^{\mathrm{new}}(\Gamma_1(4))$$$$^{\oplus 12}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(5))$$$$^{\oplus 12}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(8))$$$$^{\oplus 9}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(10))$$$$^{\oplus 10}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 6}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(20))$$$$^{\oplus 8}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(25))$$$$^{\oplus 6}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(32))$$$$^{\oplus 3}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(40))$$$$^{\oplus 6}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(50))$$$$^{\oplus 5}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(80))$$$$^{\oplus 4}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(100))$$$$^{\oplus 4}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(160))$$$$^{\oplus 2}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(200))$$$$^{\oplus 3}$$$$\oplus$$$$S_{6}^{\mathrm{new}}(\Gamma_1(400))$$$$^{\oplus 2}$$

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ ($$1 + 8 T + 243 T^{2}$$)($$1 + 243 T^{2}$$)($$1 + 243 T^{2}$$)($$1 + 243 T^{2}$$)($$1 - 8 T + 243 T^{2}$$)($$1 + 38 T + 722 T^{2} + 9234 T^{3} + 59049 T^{4}$$)($$1 + 8 T + 222 T^{2} + 1944 T^{3} + 59049 T^{4}$$)($$1 + 446 T^{2} + 59049 T^{4}$$)($$1 + 306 T^{2} + 59049 T^{4}$$)($$1 + 146 T^{2} + 59049 T^{4}$$)($$1 - 282 T^{2} + 59049 T^{4}$$)($$1 - 8 T + 222 T^{2} - 1944 T^{3} + 59049 T^{4}$$)($$1 - 38 T + 722 T^{2} - 9234 T^{3} + 59049 T^{4}$$)($$1 + 10 T + 181 T^{2} + 5268 T^{3} + 43983 T^{4} + 590490 T^{5} + 14348907 T^{6}$$)($$1 - 10 T + 181 T^{2} - 5268 T^{3} + 43983 T^{4} - 590490 T^{5} + 14348907 T^{6}$$)($$1 + 374 T^{2} + 118791 T^{4} + 22084326 T^{6} + 3486784401 T^{8}$$)($$1 + 374 T^{2} + 118791 T^{4} + 22084326 T^{6} + 3486784401 T^{8}$$)($$1 + 124 T^{2} + 25686 T^{4} + 7322076 T^{6} + 3486784401 T^{8}$$)($$1 + T + 305 T^{2} + 1886 T^{3} + 88713 T^{4} + 1107279 T^{5} + 21557259 T^{6} + 111366414 T^{7} + 4376416635 T^{8} + 3486784401 T^{9} + 847288609443 T^{10}$$)($$1 + T + 305 T^{2} + 1886 T^{3} + 88713 T^{4} + 1107279 T^{5} + 21557259 T^{6} + 111366414 T^{7} + 4376416635 T^{8} + 3486784401 T^{9} + 847288609443 T^{10}$$)($$1 - T + 305 T^{2} - 1886 T^{3} + 88713 T^{4} - 1107279 T^{5} + 21557259 T^{6} - 111366414 T^{7} + 4376416635 T^{8} - 3486784401 T^{9} + 847288609443 T^{10}$$)($$1 - T + 305 T^{2} - 1886 T^{3} + 88713 T^{4} - 1107279 T^{5} + 21557259 T^{6} - 111366414 T^{7} + 4376416635 T^{8} - 3486784401 T^{9} + 847288609443 T^{10}$$)($$( 1 + 10 T + 381 T^{2} + 2988 T^{3} + 92583 T^{4} + 590490 T^{5} + 14348907 T^{6} )^{2}$$)($$1 + 615 T^{2} + 166214 T^{4} + 36215523 T^{6} + 9814770486 T^{8} + 2144372406615 T^{10} + 205891132094649 T^{12}$$)($$1 + 615 T^{2} + 166214 T^{4} + 36215523 T^{6} + 9814770486 T^{8} + 2144372406615 T^{10} + 205891132094649 T^{12}$$)($$1 + 310 T^{2} + 120679 T^{4} + 26699028 T^{6} + 7125974271 T^{8} + 1080903164310 T^{10} + 205891132094649 T^{12}$$)($$1 + 310 T^{2} + 120679 T^{4} + 26699028 T^{6} + 7125974271 T^{8} + 1080903164310 T^{10} + 205891132094649 T^{12}$$)($$( 1 - 10 T + 381 T^{2} - 2988 T^{3} + 92583 T^{4} - 590490 T^{5} + 14348907 T^{6} )^{2}$$)($$1 - 422 T^{2} + 59049 T^{4}$$)($$1 - 422 T^{2} + 59049 T^{4}$$)($$( 1 - 243 T^{2} )^{2}$$)($$( 1 + 282 T^{2} + 59049 T^{4} )^{2}$$)($$( 1 - 146 T^{2} + 59049 T^{4} )^{2}$$)($$1 - 380 T^{2} + 136278 T^{4} - 22438620 T^{6} + 3486784401 T^{8}$$)($$1 - 380 T^{2} + 136278 T^{4} - 22438620 T^{6} + 3486784401 T^{8}$$)($$( 1 - 306 T^{2} + 59049 T^{4} )^{2}$$)($$( 1 - 446 T^{2} + 59049 T^{4} )^{2}$$)($$1 - 262 T^{2} + 15367 T^{4} - 5058036 T^{6} + 907405983 T^{8} - 913537513062 T^{10} + 205891132094649 T^{12}$$)($$1 - 262 T^{2} + 15367 T^{4} - 5058036 T^{6} + 907405983 T^{8} - 913537513062 T^{10} + 205891132094649 T^{12}$$)($$( 1 - 124 T^{2} + 25686 T^{4} - 7322076 T^{6} + 3486784401 T^{8} )^{2}$$)($$( 1 - 374 T^{2} + 118791 T^{4} - 22084326 T^{6} + 3486784401 T^{8} )^{2}$$)($$1 - 609 T^{2} + 266679 T^{4} - 91457894 T^{6} + 25373368413 T^{8} - 6535895135319 T^{10} + 1498272031419237 T^{12} - 318893958147511494 T^{14} + 54906841215868900671 T^{16} -$$$$74\!\cdots\!09$$$$T^{18} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$1 - 609 T^{2} + 266679 T^{4} - 91457894 T^{6} + 25373368413 T^{8} - 6535895135319 T^{10} + 1498272031419237 T^{12} - 318893958147511494 T^{14} + 54906841215868900671 T^{16} -$$$$74\!\cdots\!09$$$$T^{18} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$( 1 - 615 T^{2} + 166214 T^{4} - 36215523 T^{6} + 9814770486 T^{8} - 2144372406615 T^{10} + 205891132094649 T^{12} )^{2}$$)($$1 - 404 T^{2} + 84150 T^{4} - 23855796 T^{6} + 3486784401 T^{8}$$)($$1 - 1620 T^{2} + 1386369 T^{4} - 831525124 T^{6} + 389625810831 T^{8} - 151371713213208 T^{10} + 50747549990426230 T^{12} - 15143714400419264520 T^{14} +$$$$41\!\cdots\!17$$$$T^{16} -$$$$10\!\cdots\!52$$$$T^{18} +$$$$26\!\cdots\!79$$$$T^{20} -$$$$62\!\cdots\!48$$$$T^{22} +$$$$14\!\cdots\!17$$$$T^{24} -$$$$31\!\cdots\!80$$$$T^{26} +$$$$61\!\cdots\!30$$$$T^{28} -$$$$10\!\cdots\!92$$$$T^{30} +$$$$16\!\cdots\!31$$$$T^{32} -$$$$20\!\cdots\!76$$$$T^{34} +$$$$20\!\cdots\!69$$$$T^{36} -$$$$14\!\cdots\!80$$$$T^{38} +$$$$51\!\cdots\!01$$$$T^{40}$$)($$1 - 1620 T^{2} + 1394322 T^{4} - 834927892 T^{6} + 392823148221 T^{8} - 155295909553872 T^{10} + 53814329151823576 T^{12} - 16772396183204761872 T^{14} +$$$$47\!\cdots\!30$$$$T^{16} -$$$$12\!\cdots\!00$$$$T^{18} +$$$$31\!\cdots\!00$$$$T^{20} -$$$$75\!\cdots\!00$$$$T^{22} +$$$$16\!\cdots\!30$$$$T^{24} -$$$$34\!\cdots\!28$$$$T^{26} +$$$$65\!\cdots\!76$$$$T^{28} -$$$$11\!\cdots\!28$$$$T^{30} +$$$$16\!\cdots\!21$$$$T^{32} -$$$$20\!\cdots\!08$$$$T^{34} +$$$$20\!\cdots\!22$$$$T^{36} -$$$$14\!\cdots\!80$$$$T^{38} +$$$$51\!\cdots\!01$$$$T^{40}$$)($$1 - 1620 T^{2} + 1386369 T^{4} - 831525124 T^{6} + 389625810831 T^{8} - 151371713213208 T^{10} + 50747549990426230 T^{12} - 15143714400419264520 T^{14} +$$$$41\!\cdots\!17$$$$T^{16} -$$$$10\!\cdots\!52$$$$T^{18} +$$$$26\!\cdots\!79$$$$T^{20} -$$$$62\!\cdots\!48$$$$T^{22} +$$$$14\!\cdots\!17$$$$T^{24} -$$$$31\!\cdots\!80$$$$T^{26} +$$$$61\!\cdots\!30$$$$T^{28} -$$$$10\!\cdots\!92$$$$T^{30} +$$$$16\!\cdots\!31$$$$T^{32} -$$$$20\!\cdots\!76$$$$T^{34} +$$$$20\!\cdots\!69$$$$T^{36} -$$$$14\!\cdots\!80$$$$T^{38} +$$$$51\!\cdots\!01$$$$T^{40}$$)($$( 1 + 404 T^{2} + 84150 T^{4} + 23855796 T^{6} + 3486784401 T^{8} )^{2}$$)($$( 1 + 18 T + 972 T^{2} + 16038 T^{3} + 513453 T^{4} + 8805048 T^{5} + 205487216 T^{6} + 3298328136 T^{7} + 65446274826 T^{8} + 965498019516 T^{9} + 17568134266824 T^{10} + 234616018742388 T^{11} + 3864537082200474 T^{12} + 47327403678947352 T^{13} + 716489619353717616 T^{14} + 7460416875998868264 T^{15} +$$$$10\!\cdots\!97$$$$T^{16} +$$$$80\!\cdots\!66$$$$T^{17} +$$$$11\!\cdots\!72$$$$T^{18} +$$$$53\!\cdots\!74$$$$T^{19} +$$$$71\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 18 T + 972 T^{2} - 16038 T^{3} + 513453 T^{4} - 8805048 T^{5} + 205487216 T^{6} - 3298328136 T^{7} + 65446274826 T^{8} - 965498019516 T^{9} + 17568134266824 T^{10} - 234616018742388 T^{11} + 3864537082200474 T^{12} - 47327403678947352 T^{13} + 716489619353717616 T^{14} - 7460416875998868264 T^{15} +$$$$10\!\cdots\!97$$$$T^{16} -$$$$80\!\cdots\!66$$$$T^{17} +$$$$11\!\cdots\!72$$$$T^{18} -$$$$53\!\cdots\!74$$$$T^{19} +$$$$71\!\cdots\!49$$$$T^{20} )^{2}$$)
$5$ 1
$7$ ($$1 + 208 T + 16807 T^{2}$$)($$1 + 16807 T^{2}$$)($$1 + 16807 T^{2}$$)($$1 + 16807 T^{2}$$)($$1 - 208 T + 16807 T^{2}$$)($$1 - 366 T + 66978 T^{2} - 6151362 T^{3} + 282475249 T^{4}$$)($$1 + 104 T + 36038 T^{2} + 1747928 T^{3} + 282475249 T^{4}$$)($$1 + 31654 T^{2} + 282475249 T^{4}$$)($$1 + 14394 T^{2} + 282475249 T^{4}$$)($$1 + 30554 T^{2} + 282475249 T^{4}$$)($$1 + 5966 T^{2} + 282475249 T^{4}$$)($$1 - 104 T + 36038 T^{2} - 1747928 T^{3} + 282475249 T^{4}$$)($$1 + 366 T + 66978 T^{2} + 6151362 T^{3} + 282475249 T^{4}$$)($$1 - 6 T + 27153 T^{2} - 1137532 T^{3} + 456360471 T^{4} - 1694851494 T^{5} + 4747561509943 T^{6}$$)($$1 + 6 T + 27153 T^{2} + 1137532 T^{3} + 456360471 T^{4} + 1694851494 T^{5} + 4747561509943 T^{6}$$)($$1 + 35620 T^{2} + 881598182 T^{4} + 10061768369380 T^{6} + 79792266297612001 T^{8}$$)($$1 + 35620 T^{2} + 881598182 T^{4} + 10061768369380 T^{6} + 79792266297612001 T^{8}$$)($$1 - 27060 T^{2} + 497649542 T^{4} - 7643780237940 T^{6} + 79792266297612001 T^{8}$$)($$1 + 110 T + 34955 T^{2} + 4360440 T^{3} + 827791650 T^{4} + 108972023252 T^{5} + 13912694261550 T^{6} + 1231716374749560 T^{7} + 165951012580057565 T^{8} + 8777149292737320110 T^{9} +$$$$13\!\cdots\!07$$$$T^{10}$$)($$1 + 110 T + 34955 T^{2} + 4360440 T^{3} + 827791650 T^{4} + 108972023252 T^{5} + 13912694261550 T^{6} + 1231716374749560 T^{7} + 165951012580057565 T^{8} + 8777149292737320110 T^{9} +$$$$13\!\cdots\!07$$$$T^{10}$$)($$1 - 110 T + 34955 T^{2} - 4360440 T^{3} + 827791650 T^{4} - 108972023252 T^{5} + 13912694261550 T^{6} - 1231716374749560 T^{7} + 165951012580057565 T^{8} - 8777149292737320110 T^{9} +$$$$13\!\cdots\!07$$$$T^{10}$$)($$1 - 110 T + 34955 T^{2} - 4360440 T^{3} + 827791650 T^{4} - 108972023252 T^{5} + 13912694261550 T^{6} - 1231716374749560 T^{7} + 165951012580057565 T^{8} - 8777149292737320110 T^{9} +$$$$13\!\cdots\!07$$$$T^{10}$$)($$( 1 - 226 T + 52993 T^{2} - 7500012 T^{3} + 890653351 T^{4} - 63839406274 T^{5} + 4747561509943 T^{6} )^{2}$$)($$1 + 49694 T^{2} + 1199156991 T^{4} + 21295076725348 T^{6} + 338732169622815759 T^{8} +$$$$39\!\cdots\!94$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$1 + 49694 T^{2} + 1199156991 T^{4} + 21295076725348 T^{6} + 338732169622815759 T^{8} +$$$$39\!\cdots\!94$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$1 + 42334 T^{2} + 748334111 T^{4} + 10497411086308 T^{6} + 211385864339918639 T^{8} +$$$$33\!\cdots\!34$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$1 + 42334 T^{2} + 748334111 T^{4} + 10497411086308 T^{6} + 211385864339918639 T^{8} +$$$$33\!\cdots\!34$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$( 1 + 226 T + 52993 T^{2} + 7500012 T^{3} + 890653351 T^{4} + 63839406274 T^{5} + 4747561509943 T^{6} )^{2}$$)($$1 + 9650 T^{2} + 282475249 T^{4}$$)($$1 + 9650 T^{2} + 282475249 T^{4}$$)($$( 1 - 16807 T^{2} )^{2}$$)($$( 1 - 5966 T^{2} + 282475249 T^{4} )^{2}$$)($$( 1 - 30554 T^{2} + 282475249 T^{4} )^{2}$$)($$1 - 61260 T^{2} + 1500118918 T^{4} - 17304433753740 T^{6} + 79792266297612001 T^{8}$$)($$1 - 61260 T^{2} + 1500118918 T^{4} - 17304433753740 T^{6} + 79792266297612001 T^{8}$$)($$( 1 - 14394 T^{2} + 282475249 T^{4} )^{2}$$)($$( 1 - 31654 T^{2} + 282475249 T^{4} )^{2}$$)($$1 - 54270 T^{2} + 1636355967 T^{4} - 32963917489060 T^{6} + 462230059230960783 T^{8} -$$$$43\!\cdots\!70$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$1 - 54270 T^{2} + 1636355967 T^{4} - 32963917489060 T^{6} + 462230059230960783 T^{8} -$$$$43\!\cdots\!70$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$( 1 + 27060 T^{2} + 497649542 T^{4} + 7643780237940 T^{6} + 79792266297612001 T^{8} )^{2}$$)($$( 1 - 35620 T^{2} + 881598182 T^{4} - 10061768369380 T^{6} + 79792266297612001 T^{8} )^{2}$$)($$1 - 57810 T^{2} + 1918138525 T^{4} - 42709020665560 T^{6} + 768467956211993170 T^{8} -$$$$12\!\cdots\!60$$$$T^{10} +$$$$21\!\cdots\!30$$$$T^{12} -$$$$34\!\cdots\!60$$$$T^{14} +$$$$43\!\cdots\!25$$$$T^{16} -$$$$36\!\cdots\!10$$$$T^{18} +$$$$17\!\cdots\!49$$$$T^{20}$$)($$1 - 57810 T^{2} + 1918138525 T^{4} - 42709020665560 T^{6} + 768467956211993170 T^{8} -$$$$12\!\cdots\!60$$$$T^{10} +$$$$21\!\cdots\!30$$$$T^{12} -$$$$34\!\cdots\!60$$$$T^{14} +$$$$43\!\cdots\!25$$$$T^{16} -$$$$36\!\cdots\!10$$$$T^{18} +$$$$17\!\cdots\!49$$$$T^{20}$$)($$( 1 - 49694 T^{2} + 1199156991 T^{4} - 21295076725348 T^{6} + 338732169622815759 T^{8} -$$$$39\!\cdots\!94$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 - 48 T + 15502 T^{2} - 806736 T^{3} + 282475249 T^{4} )^{2}$$)($$( 1 + 98 T + 73174 T^{2} + 6932750 T^{3} + 2872610861 T^{4} + 241577440280 T^{5} + 82512248146216 T^{6} + 6113433973149544 T^{7} + 1874569719084419266 T^{8} +$$$$12\!\cdots\!80$$$$T^{9} +$$$$34\!\cdots\!20$$$$T^{10} +$$$$21\!\cdots\!60$$$$T^{11} +$$$$52\!\cdots\!34$$$$T^{12} +$$$$29\!\cdots\!92$$$$T^{13} +$$$$65\!\cdots\!16$$$$T^{14} +$$$$32\!\cdots\!60$$$$T^{15} +$$$$64\!\cdots\!89$$$$T^{16} +$$$$26\!\cdots\!50$$$$T^{17} +$$$$46\!\cdots\!74$$$$T^{18} +$$$$10\!\cdots\!86$$$$T^{19} +$$$$17\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 98 T + 84148 T^{2} + 8017214 T^{3} + 3556570901 T^{4} + 345044190776 T^{5} + 103920201897616 T^{6} + 10159390994080936 T^{7} + 2363994840482709802 T^{8} +$$$$22\!\cdots\!76$$$$T^{9} +$$$$43\!\cdots\!72$$$$T^{10} +$$$$37\!\cdots\!32$$$$T^{11} +$$$$66\!\cdots\!98$$$$T^{12} +$$$$48\!\cdots\!48$$$$T^{13} +$$$$82\!\cdots\!16$$$$T^{14} +$$$$46\!\cdots\!32$$$$T^{15} +$$$$80\!\cdots\!49$$$$T^{16} +$$$$30\!\cdots\!02$$$$T^{17} +$$$$53\!\cdots\!48$$$$T^{18} +$$$$10\!\cdots\!86$$$$T^{19} +$$$$17\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 98 T + 73174 T^{2} - 6932750 T^{3} + 2872610861 T^{4} - 241577440280 T^{5} + 82512248146216 T^{6} - 6113433973149544 T^{7} + 1874569719084419266 T^{8} -$$$$12\!\cdots\!80$$$$T^{9} +$$$$34\!\cdots\!20$$$$T^{10} -$$$$21\!\cdots\!60$$$$T^{11} +$$$$52\!\cdots\!34$$$$T^{12} -$$$$29\!\cdots\!92$$$$T^{13} +$$$$65\!\cdots\!16$$$$T^{14} -$$$$32\!\cdots\!60$$$$T^{15} +$$$$64\!\cdots\!89$$$$T^{16} -$$$$26\!\cdots\!50$$$$T^{17} +$$$$46\!\cdots\!74$$$$T^{18} -$$$$10\!\cdots\!86$$$$T^{19} +$$$$17\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 28700 T^{2} + 727815846 T^{4} - 8107039646300 T^{6} + 79792266297612001 T^{8} )^{2}$$)($$1 - 158692 T^{2} + 12622653762 T^{4} - 674492678436036 T^{6} + 27342713684710654157 T^{8} -$$$$89\!\cdots\!88$$$$T^{10} +$$$$25\!\cdots\!96$$$$T^{12} -$$$$60\!\cdots\!96$$$$T^{14} +$$$$13\!\cdots\!86$$$$T^{16} -$$$$25\!\cdots\!92$$$$T^{18} +$$$$44\!\cdots\!96$$$$T^{20} -$$$$71\!\cdots\!08$$$$T^{22} +$$$$10\!\cdots\!86$$$$T^{24} -$$$$13\!\cdots\!04$$$$T^{26} +$$$$15\!\cdots\!96$$$$T^{28} -$$$$16\!\cdots\!12$$$$T^{30} +$$$$13\!\cdots\!57$$$$T^{32} -$$$$96\!\cdots\!64$$$$T^{34} +$$$$51\!\cdots\!62$$$$T^{36} -$$$$18\!\cdots\!08$$$$T^{38} +$$$$32\!\cdots\!01$$$$T^{40}$$)($$1 - 158692 T^{2} + 12622653762 T^{4} - 674492678436036 T^{6} + 27342713684710654157 T^{8} -$$$$89\!\cdots\!88$$$$T^{10} +$$$$25\!\cdots\!96$$$$T^{12} -$$$$60\!\cdots\!96$$$$T^{14} +$$$$13\!\cdots\!86$$$$T^{16} -$$$$25\!\cdots\!92$$$$T^{18} +$$$$44\!\cdots\!96$$$$T^{20} -$$$$71\!\cdots\!08$$$$T^{22} +$$$$10\!\cdots\!86$$$$T^{24} -$$$$13\!\cdots\!04$$$$T^{26} +$$$$15\!\cdots\!96$$$$T^{28} -$$$$16\!\cdots\!12$$$$T^{30} +$$$$13\!\cdots\!57$$$$T^{32} -$$$$96\!\cdots\!64$$$$T^{34} +$$$$51\!\cdots\!62$$$$T^{36} -$$$$18\!\cdots\!08$$$$T^{38} +$$$$32\!\cdots\!01$$$$T^{40}$$)
$11$ ($$1 - 536 T + 161051 T^{2}$$)($$1 + 161051 T^{2}$$)($$1 + 161051 T^{2}$$)($$1 + 161051 T^{2}$$)($$1 + 536 T + 161051 T^{2}$$)($$( 1 + 161051 T^{2} )^{2}$$)($$1 - 320 T + 319702 T^{2} - 51536320 T^{3} + 25937424601 T^{4}$$)($$1 - 197738 T^{2} + 25937424601 T^{4}$$)($$1 + 254822 T^{2} + 25937424601 T^{4}$$)($$1 + 92262 T^{2} + 25937424601 T^{4}$$)($$1 + 315190 T^{2} + 25937424601 T^{4}$$)($$1 + 320 T + 319702 T^{2} + 51536320 T^{3} + 25937424601 T^{4}$$)($$( 1 + 161051 T^{2} )^{2}$$)($$1 + 396 T + 327873 T^{2} + 67617992 T^{3} + 52804274523 T^{4} + 10271220141996 T^{5} + 4177248169415651 T^{6}$$)($$1 - 396 T + 327873 T^{2} - 67617992 T^{3} + 52804274523 T^{4} - 10271220141996 T^{5} + 4177248169415651 T^{6}$$)($$1 + 609342 T^{2} + 144686893807 T^{4} + 15804762181222542 T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 609342 T^{2} + 144686893807 T^{4} + 15804762181222542 T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 382252 T^{2} + 87516901782 T^{4} + 9914632428581452 T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 5 T + 223729 T^{2} - 31546290 T^{3} + 60901707257 T^{4} + 855449808035 T^{5} + 9808280855447107 T^{6} - 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} +$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10}$$)($$1 - 5 T + 223729 T^{2} + 31546290 T^{3} + 60901707257 T^{4} - 855449808035 T^{5} + 9808280855447107 T^{6} + 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} -$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10}$$)($$1 + 5 T + 223729 T^{2} - 31546290 T^{3} + 60901707257 T^{4} + 855449808035 T^{5} + 9808280855447107 T^{6} - 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} +$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10}$$)($$1 - 5 T + 223729 T^{2} + 31546290 T^{3} + 60901707257 T^{4} - 855449808035 T^{5} + 9808280855447107 T^{6} + 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} -$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10}$$)($$1 + 311650 T^{2} + 88422679991 T^{4} + 16030422126529084 T^{6} +$$$$22\!\cdots\!91$$$$T^{8} +$$$$20\!\cdots\!50$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 + 185119 T^{2} + 36552934342 T^{4} + 3245101100106923 T^{6} +$$$$94\!\cdots\!42$$$$T^{8} +$$$$12\!\cdots\!19$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 + 185119 T^{2} + 36552934342 T^{4} + 3245101100106923 T^{6} +$$$$94\!\cdots\!42$$$$T^{8} +$$$$12\!\cdots\!19$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 + 220194 T^{2} + 46554422967 T^{4} + 4986677846505148 T^{6} +$$$$12\!\cdots\!67$$$$T^{8} +$$$$14\!\cdots\!94$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 + 220194 T^{2} + 46554422967 T^{4} + 4986677846505148 T^{6} +$$$$12\!\cdots\!67$$$$T^{8} +$$$$14\!\cdots\!94$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 + 311650 T^{2} + 88422679991 T^{4} + 16030422126529084 T^{6} +$$$$22\!\cdots\!91$$$$T^{8} +$$$$20\!\cdots\!50$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$( 1 + 536 T + 161051 T^{2} )^{2}$$)($$( 1 - 536 T + 161051 T^{2} )^{2}$$)($$( 1 + 161051 T^{2} )^{2}$$)($$( 1 + 315190 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 + 92262 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 + 320 T + 319702 T^{2} + 51536320 T^{3} + 25937424601 T^{4} )^{2}$$)($$( 1 - 320 T + 319702 T^{2} - 51536320 T^{3} + 25937424601 T^{4} )^{2}$$)($$( 1 + 254822 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 - 197738 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 + 396 T + 327873 T^{2} + 67617992 T^{3} + 52804274523 T^{4} + 10271220141996 T^{5} + 4177248169415651 T^{6} )^{2}$$)($$( 1 - 396 T + 327873 T^{2} - 67617992 T^{3} + 52804274523 T^{4} - 10271220141996 T^{5} + 4177248169415651 T^{6} )^{2}$$)($$( 1 + 382252 T^{2} + 87516901782 T^{4} + 9914632428581452 T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 609342 T^{2} + 144686893807 T^{4} + 15804762181222542 T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 5 T + 223729 T^{2} - 31546290 T^{3} + 60901707257 T^{4} + 855449808035 T^{5} + 9808280855447107 T^{6} - 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} +$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 5 T + 223729 T^{2} + 31546290 T^{3} + 60901707257 T^{4} - 855449808035 T^{5} + 9808280855447107 T^{6} + 818229518316280290 T^{7} +$$$$93\!\cdots\!79$$$$T^{8} -$$$$33\!\cdots\!05$$$$T^{9} +$$$$10\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 185119 T^{2} + 36552934342 T^{4} + 3245101100106923 T^{6} +$$$$94\!\cdots\!42$$$$T^{8} +$$$$12\!\cdots\!19$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 296436 T^{2} + 49128544726 T^{4} - 7688786399022036 T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 - 1441148 T^{2} + 1073093354713 T^{4} - 546930551256564556 T^{6} +$$$$21\!\cdots\!87$$$$T^{8} -$$$$69\!\cdots\!00$$$$T^{10} +$$$$18\!\cdots\!18$$$$T^{12} -$$$$45\!\cdots\!84$$$$T^{14} +$$$$96\!\cdots\!37$$$$T^{16} -$$$$18\!\cdots\!12$$$$T^{18} +$$$$30\!\cdots\!63$$$$T^{20} -$$$$47\!\cdots\!12$$$$T^{22} +$$$$64\!\cdots\!37$$$$T^{24} -$$$$79\!\cdots\!84$$$$T^{26} +$$$$85\!\cdots\!18$$$$T^{28} -$$$$81\!\cdots\!00$$$$T^{30} +$$$$65\!\cdots\!87$$$$T^{32} -$$$$43\!\cdots\!56$$$$T^{34} +$$$$21\!\cdots\!13$$$$T^{36} -$$$$76\!\cdots\!48$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 1510004 T^{2} + 1155249727726 T^{4} - 592766540112799924 T^{6} +$$$$22\!\cdots\!17$$$$T^{8} -$$$$70\!\cdots\!04$$$$T^{10} +$$$$18\!\cdots\!36$$$$T^{12} -$$$$40\!\cdots\!64$$$$T^{14} +$$$$79\!\cdots\!82$$$$T^{16} -$$$$14\!\cdots\!04$$$$T^{18} +$$$$23\!\cdots\!76$$$$T^{20} -$$$$36\!\cdots\!04$$$$T^{22} +$$$$53\!\cdots\!82$$$$T^{24} -$$$$70\!\cdots\!64$$$$T^{26} +$$$$82\!\cdots\!36$$$$T^{28} -$$$$82\!\cdots\!04$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$46\!\cdots\!24$$$$T^{34} +$$$$23\!\cdots\!26$$$$T^{36} -$$$$80\!\cdots\!04$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 1441148 T^{2} + 1073093354713 T^{4} - 546930551256564556 T^{6} +$$$$21\!\cdots\!87$$$$T^{8} -$$$$69\!\cdots\!00$$$$T^{10} +$$$$18\!\cdots\!18$$$$T^{12} -$$$$45\!\cdots\!84$$$$T^{14} +$$$$96\!\cdots\!37$$$$T^{16} -$$$$18\!\cdots\!12$$$$T^{18} +$$$$30\!\cdots\!63$$$$T^{20} -$$$$47\!\cdots\!12$$$$T^{22} +$$$$64\!\cdots\!37$$$$T^{24} -$$$$79\!\cdots\!84$$$$T^{26} +$$$$85\!\cdots\!18$$$$T^{28} -$$$$81\!\cdots\!00$$$$T^{30} +$$$$65\!\cdots\!87$$$$T^{32} -$$$$43\!\cdots\!56$$$$T^{34} +$$$$21\!\cdots\!13$$$$T^{36} -$$$$76\!\cdots\!48$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$( 1 - 296436 T^{2} + 49128544726 T^{4} - 7688786399022036 T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 1510004 T^{2} + 1155249727726 T^{4} - 592766540112799924 T^{6} +$$$$22\!\cdots\!17$$$$T^{8} -$$$$70\!\cdots\!04$$$$T^{10} +$$$$18\!\cdots\!36$$$$T^{12} -$$$$40\!\cdots\!64$$$$T^{14} +$$$$79\!\cdots\!82$$$$T^{16} -$$$$14\!\cdots\!04$$$$T^{18} +$$$$23\!\cdots\!76$$$$T^{20} -$$$$36\!\cdots\!04$$$$T^{22} +$$$$53\!\cdots\!82$$$$T^{24} -$$$$70\!\cdots\!64$$$$T^{26} +$$$$82\!\cdots\!36$$$$T^{28} -$$$$82\!\cdots\!04$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$46\!\cdots\!24$$$$T^{34} +$$$$23\!\cdots\!26$$$$T^{36} -$$$$80\!\cdots\!04$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 1510004 T^{2} + 1155249727726 T^{4} - 592766540112799924 T^{6} +$$$$22\!\cdots\!17$$$$T^{8} -$$$$70\!\cdots\!04$$$$T^{10} +$$$$18\!\cdots\!36$$$$T^{12} -$$$$40\!\cdots\!64$$$$T^{14} +$$$$79\!\cdots\!82$$$$T^{16} -$$$$14\!\cdots\!04$$$$T^{18} +$$$$23\!\cdots\!76$$$$T^{20} -$$$$36\!\cdots\!04$$$$T^{22} +$$$$53\!\cdots\!82$$$$T^{24} -$$$$70\!\cdots\!64$$$$T^{26} +$$$$82\!\cdots\!36$$$$T^{28} -$$$$82\!\cdots\!04$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$46\!\cdots\!24$$$$T^{34} +$$$$23\!\cdots\!26$$$$T^{36} -$$$$80\!\cdots\!04$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)
$13$ ($$1 + 694 T + 371293 T^{2}$$)($$1 + 244 T + 371293 T^{2}$$)($$1 - 244 T + 371293 T^{2}$$)($$1 - 1194 T + 371293 T^{2}$$)($$1 + 694 T + 371293 T^{2}$$)($$( 1 + 371293 T^{2} )^{2}$$)($$1 - 100 T + 297086 T^{2} - 37129300 T^{3} + 137858491849 T^{4}$$)($$( 1 - 146 T + 371293 T^{2} )^{2}$$)($$( 1 + 154 T + 371293 T^{2} )^{2}$$)($$( 1 + 506 T + 371293 T^{2} )^{2}$$)($$( 1 - 42 T + 371293 T^{2} )^{2}$$)($$1 - 100 T + 297086 T^{2} - 37129300 T^{3} + 137858491849 T^{4}$$)($$( 1 + 371293 T^{2} )^{2}$$)($$1 - 354 T + 845379 T^{2} - 291738444 T^{3} + 313883305047 T^{4} - 48801906114546 T^{5} + 51185893014090757 T^{6}$$)($$1 - 354 T + 845379 T^{2} - 291738444 T^{3} + 313883305047 T^{4} - 48801906114546 T^{5} + 51185893014090757 T^{6}$$)($$( 1 + 332 T + 461658 T^{2} + 123269276 T^{3} + 137858491849 T^{4} )^{2}$$)($$( 1 - 332 T + 461658 T^{2} - 123269276 T^{3} + 137858491849 T^{4} )^{2}$$)($$( 1 - 292 T - 102402 T^{2} - 108417556 T^{3} + 137858491849 T^{4} )^{2}$$)($$1 + 280 T + 1274849 T^{2} + 381787360 T^{3} + 780413918026 T^{4} + 211672905077520 T^{5} + 289762224865627618 T^{6} + 52632629656611228640 T^{7} +$$$$65\!\cdots\!93$$$$T^{8} +$$$$53\!\cdots\!80$$$$T^{9} +$$$$70\!\cdots\!93$$$$T^{10}$$)($$1 - 280 T + 1274849 T^{2} - 381787360 T^{3} + 780413918026 T^{4} - 211672905077520 T^{5} + 289762224865627618 T^{6} - 52632629656611228640 T^{7} +$$$$65\!\cdots\!93$$$$T^{8} -$$$$53\!\cdots\!80$$$$T^{9} +$$$$70\!\cdots\!93$$$$T^{10}$$)($$1 - 280 T + 1274849 T^{2} - 381787360 T^{3} + 780413918026 T^{4} - 211672905077520 T^{5} + 289762224865627618 T^{6} - 52632629656611228640 T^{7} +$$$$65\!\cdots\!93$$$$T^{8} -$$$$53\!\cdots\!80$$$$T^{9} +$$$$70\!\cdots\!93$$$$T^{10}$$)($$1 + 280 T + 1274849 T^{2} + 381787360 T^{3} + 780413918026 T^{4} + 211672905077520 T^{5} + 289762224865627618 T^{6} + 52632629656611228640 T^{7} +$$$$65\!\cdots\!93$$$$T^{8} +$$$$53\!\cdots\!80$$$$T^{9} +$$$$70\!\cdots\!93$$$$T^{10}$$)($$1 + 183262 T^{2} + 260173900423 T^{4} + 19831011157232516 T^{6} +$$$$35\!\cdots\!27$$$$T^{8} +$$$$34\!\cdots\!62$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{12}$$)($$( 1 + 64 T + 282599 T^{2} + 61083136 T^{3} + 104927030507 T^{4} + 8822943478336 T^{5} + 51185893014090757 T^{6} )^{2}$$)($$( 1 - 64 T + 282599 T^{2} - 61083136 T^{3} + 104927030507 T^{4} - 8822943478336 T^{5} + 51185893014090757 T^{6} )^{2}$$)($$( 1 + 684 T + 694839 T^{2} + 453763576 T^{3} + 257988856827 T^{4} + 94295208424716 T^{5} + 51185893014090757 T^{6} )^{2}$$)($$( 1 - 684 T + 694839 T^{2} - 453763576 T^{3} + 257988856827 T^{4} - 94295208424716 T^{5} + 51185893014090757 T^{6} )^{2}$$)($$1 + 183262 T^{2} + 260173900423 T^{4} + 19831011157232516 T^{6} +$$$$35\!\cdots\!27$$$$T^{8} +$$$$34\!\cdots\!62$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{12}$$)($$1 - 260950 T^{2} + 137858491849 T^{4}$$)($$1 - 260950 T^{2} + 137858491849 T^{4}$$)($$( 1 - 244 T + 371293 T^{2} )( 1 + 244 T + 371293 T^{2} )$$)($$( 1 - 740822 T^{2} + 137858491849 T^{4} )^{2}$$)($$( 1 - 486550 T^{2} + 137858491849 T^{4} )^{2}$$)($$1 - 584172 T^{2} + 356551215094 T^{4} - 80533070900414028 T^{6} +$$$$19\!\cdots\!01$$$$T^{8}$$)($$1 - 584172 T^{2} + 356551215094 T^{4} - 80533070900414028 T^{6} +$$$$19\!\cdots\!01$$$$T^{8}$$)($$( 1 - 718870 T^{2} + 137858491849 T^{4} )^{2}$$)($$( 1 - 721270 T^{2} + 137858491849 T^{4} )^{2}$$)($$1 - 1565442 T^{2} + 1135881445383 T^{4} - 513409425866197436 T^{6} +$$$$15\!\cdots\!67$$$$T^{8} -$$$$29\!\cdots\!42$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{12}$$)($$1 - 1565442 T^{2} + 1135881445383 T^{4} - 513409425866197436 T^{6} +$$$$15\!\cdots\!67$$$$T^{8} -$$$$29\!\cdots\!42$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{12}$$)($$( 1 + 290068 T^{2} + 222887300598 T^{4} + 39988337013655732 T^{6} +$$$$19\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 813092 T^{2} + 406994293398 T^{4} - 112091636854487108 T^{6} +$$$$19\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 2471298 T^{2} + 2972266887253 T^{4} - 2305045840595130584 T^{6} +$$$$12\!\cdots\!26$$$$T^{8} -$$$$54\!\cdots\!36$$$$T^{10} +$$$$17\!\cdots\!74$$$$T^{12} -$$$$43\!\cdots\!84$$$$T^{14} +$$$$77\!\cdots\!97$$$$T^{16} -$$$$89\!\cdots\!98$$$$T^{18} +$$$$49\!\cdots\!49$$$$T^{20}$$)($$1 - 2471298 T^{2} + 2972266887253 T^{4} - 2305045840595130584 T^{6} +$$$$12\!\cdots\!26$$$$T^{8} -$$$$54\!\cdots\!36$$$$T^{10} +$$$$17\!\cdots\!74$$$$T^{12} -$$$$43\!\cdots\!84$$$$T^{14} +$$$$77\!\cdots\!97$$$$T^{16} -$$$$89\!\cdots\!98$$$$T^{18} +$$$$49\!\cdots\!49$$$$T^{20}$$)($$( 1 - 561102 T^{2} + 281897614407 T^{4} - 156815847547855396 T^{6} +$$$$38\!\cdots\!43$$$$T^{8} -$$$$10\!\cdots\!02$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 894228 T^{2} + 396323515894 T^{4} - 123276923449147572 T^{6} +$$$$19\!\cdots\!01$$$$T^{8}$$)($$1 - 3311184 T^{2} + 5323937454662 T^{4} - 5590060113523267152 T^{6} +$$$$43\!\cdots\!37$$$$T^{8} -$$$$27\!\cdots\!00$$$$T^{10} +$$$$14\!\cdots\!32$$$$T^{12} -$$$$66\!\cdots\!28$$$$T^{14} +$$$$28\!\cdots\!62$$$$T^{16} -$$$$10\!\cdots\!96$$$$T^{18} +$$$$41\!\cdots\!12$$$$T^{20} -$$$$15\!\cdots\!04$$$$T^{22} +$$$$53\!\cdots\!62$$$$T^{24} -$$$$17\!\cdots\!72$$$$T^{26} +$$$$52\!\cdots\!32$$$$T^{28} -$$$$13\!\cdots\!00$$$$T^{30} +$$$$29\!\cdots\!37$$$$T^{32} -$$$$52\!\cdots\!48$$$$T^{34} +$$$$69\!\cdots\!62$$$$T^{36} -$$$$59\!\cdots\!16$$$$T^{38} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$1 - 3520332 T^{2} + 6227853839054 T^{4} - 7441447313525468748 T^{6} +$$$$67\!\cdots\!57$$$$T^{8} -$$$$50\!\cdots\!12$$$$T^{10} +$$$$32\!\cdots\!64$$$$T^{12} -$$$$17\!\cdots\!28$$$$T^{14} +$$$$87\!\cdots\!42$$$$T^{16} -$$$$38\!\cdots\!32$$$$T^{18} +$$$$14\!\cdots\!64$$$$T^{20} -$$$$52\!\cdots\!68$$$$T^{22} +$$$$16\!\cdots\!42$$$$T^{24} -$$$$46\!\cdots\!72$$$$T^{26} +$$$$11\!\cdots\!64$$$$T^{28} -$$$$25\!\cdots\!88$$$$T^{30} +$$$$46\!\cdots\!57$$$$T^{32} -$$$$70\!\cdots\!52$$$$T^{34} +$$$$81\!\cdots\!54$$$$T^{36} -$$$$63\!\cdots\!68$$$$T^{38} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$1 - 3311184 T^{2} + 5323937454662 T^{4} - 5590060113523267152 T^{6} +$$$$43\!\cdots\!37$$$$T^{8} -$$$$27\!\cdots\!00$$$$T^{10} +$$$$14\!\cdots\!32$$$$T^{12} -$$$$66\!\cdots\!28$$$$T^{14} +$$$$28\!\cdots\!62$$$$T^{16} -$$$$10\!\cdots\!96$$$$T^{18} +$$$$41\!\cdots\!12$$$$T^{20} -$$$$15\!\cdots\!04$$$$T^{22} +$$$$53\!\cdots\!62$$$$T^{24} -$$$$17\!\cdots\!72$$$$T^{26} +$$$$52\!\cdots\!32$$$$T^{28} -$$$$13\!\cdots\!00$$$$T^{30} +$$$$29\!\cdots\!37$$$$T^{32} -$$$$52\!\cdots\!48$$$$T^{34} +$$$$69\!\cdots\!62$$$$T^{36} -$$$$59\!\cdots\!16$$$$T^{38} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$( 1 + 894228 T^{2} + 396323515894 T^{4} + 123276923449147572 T^{6} +$$$$19\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 1760166 T^{2} + 4751360 T^{3} + 1564834745749 T^{4} + 9765756108800 T^{5} + 966366029387624840 T^{6} + 26444298504731197440 T^{7} +$$$$47\!\cdots\!38$$$$T^{8} +$$$$21\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!88$$$$T^{10} +$$$$81\!\cdots\!00$$$$T^{11} +$$$$65\!\cdots\!62$$$$T^{12} +$$$$13\!\cdots\!80$$$$T^{13} +$$$$18\!\cdots\!40$$$$T^{14} +$$$$68\!\cdots\!00$$$$T^{15} +$$$$40\!\cdots\!01$$$$T^{16} +$$$$46\!\cdots\!20$$$$T^{17} +$$$$63\!\cdots\!66$$$$T^{18} +$$$$49\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 1760166 T^{2} - 4751360 T^{3} + 1564834745749 T^{4} - 9765756108800 T^{5} + 966366029387624840 T^{6} - 26444298504731197440 T^{7} +$$$$47\!\cdots\!38$$$$T^{8} -$$$$21\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!88$$$$T^{10} -$$$$81\!\cdots\!00$$$$T^{11} +$$$$65\!\cdots\!62$$$$T^{12} -$$$$13\!\cdots\!80$$$$T^{13} +$$$$18\!\cdots\!40$$$$T^{14} -$$$$68\!\cdots\!00$$$$T^{15} +$$$$40\!\cdots\!01$$$$T^{16} -$$$$46\!\cdots\!20$$$$T^{17} +$$$$63\!\cdots\!66$$$$T^{18} +$$$$49\!\cdots\!49$$$$T^{20} )^{2}$$)
$17$ ($$1 - 1278 T + 1419857 T^{2}$$)($$1 + 808 T + 1419857 T^{2}$$)($$1 - 808 T + 1419857 T^{2}$$)($$1 + 2242 T + 1419857 T^{2}$$)($$1 - 1278 T + 1419857 T^{2}$$)($$( 1 + 1419857 T^{2} )^{2}$$)($$1 + 580 T + 2475814 T^{2} + 823517060 T^{3} + 2015993900449 T^{4}$$)($$( 1 - 702 T + 1419857 T^{2} )^{2}$$)($$( 1 + 178 T + 1419857 T^{2} )^{2}$$)($$( 1 - 1838 T + 1419857 T^{2} )^{2}$$)($$( 1 + 962 T + 1419857 T^{2} )^{2}$$)($$1 + 580 T + 2475814 T^{2} + 823517060 T^{3} + 2015993900449 T^{4}$$)($$( 1 + 1419857 T^{2} )^{2}$$)($$1 + 1158 T + 1914111 T^{2} + 544550612 T^{3} + 2717763902127 T^{4} + 2334520936719942 T^{5} + 2862423051509815793 T^{6}$$)($$1 + 1158 T + 1914111 T^{2} + 544550612 T^{3} + 2717763902127 T^{4} + 2334520936719942 T^{5} + 2862423051509815793 T^{6}$$)($$( 1 - 770 T + 1308415 T^{2} - 1093289890 T^{3} + 2015993900449 T^{4} )^{2}$$)($$( 1 + 770 T + 1308415 T^{2} + 1093289890 T^{3} + 2015993900449 T^{4} )^{2}$$)($$( 1 - 380 T + 2009510 T^{2} - 539545660 T^{3} + 2015993900449 T^{4} )^{2}$$)($$1 - 865 T + 4929151 T^{2} - 3679986310 T^{3} + 11718124515501 T^{4} - 6951494211156695 T^{5} + 16638061120205703357 T^{6} -$$$$74\!\cdots\!90$$$$T^{7} +$$$$14\!\cdots\!43$$$$T^{8} -$$$$35\!\cdots\!65$$$$T^{9} +$$$$57\!\cdots\!57$$$$T^{10}$$)($$1 + 865 T + 4929151 T^{2} + 3679986310 T^{3} + 11718124515501 T^{4} + 6951494211156695 T^{5} + 16638061120205703357 T^{6} +$$$$74\!\cdots\!90$$$$T^{7} +$$$$14\!\cdots\!43$$$$T^{8} +$$$$35\!\cdots\!65$$$$T^{9} +$$$$57\!\cdots\!57$$$$T^{10}$$)($$1 + 865 T + 4929151 T^{2} + 3679986310 T^{3} + 11718124515501 T^{4} + 6951494211156695 T^{5} + 16638061120205703357 T^{6} +$$$$74\!\cdots\!90$$$$T^{7} +$$$$14\!\cdots\!43$$$$T^{8} +$$$$35\!\cdots\!65$$$$T^{9} +$$$$57\!\cdots\!57$$$$T^{10}$$)($$1 - 865 T + 4929151 T^{2} - 3679986310 T^{3} + 11718124515501 T^{4} - 6951494211156695 T^{5} + 16638061120205703357 T^{6} -$$$$74\!\cdots\!90$$$$T^{7} +$$$$14\!\cdots\!43$$$$T^{8} -$$$$35\!\cdots\!65$$$$T^{9} +$$$$57\!\cdots\!57$$$$T^{10}$$)($$1 - 1156442 T^{2} + 502148271983 T^{4} + 1980542974409409364 T^{6} +$$$$10\!\cdots\!67$$$$T^{8} -$$$$47\!\cdots\!42$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12}$$)($$( 1 + 407 T + 591902 T^{2} - 2093073885 T^{3} + 840416198014 T^{4} + 820509517482743 T^{5} + 2862423051509815793 T^{6} )^{2}$$)($$( 1 - 407 T + 591902 T^{2} + 2093073885 T^{3} + 840416198014 T^{4} - 820509517482743 T^{5} + 2862423051509815793 T^{6} )^{2}$$)($$( 1 + 872 T + 4134387 T^{2} + 2418065360 T^{3} + 5870238322659 T^{4} + 1757946681191528 T^{5} + 2862423051509815793 T^{6} )^{2}$$)($$( 1 - 872 T + 4134387 T^{2} - 2418065360 T^{3} + 5870238322659 T^{4} - 1757946681191528 T^{5} + 2862423051509815793 T^{6} )^{2}$$)($$1 - 1156442 T^{2} + 502148271983 T^{4} + 1980542974409409364 T^{6} +$$$$10\!\cdots\!67$$$$T^{8} -$$$$47\!\cdots\!42$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12}$$)($$1 - 1206430 T^{2} + 2015993900449 T^{4}$$)($$1 - 1206430 T^{2} + 2015993900449 T^{4}$$)($$( 1 - 808 T + 1419857 T^{2} )( 1 + 808 T + 1419857 T^{2} )$$)($$( 1 - 1914270 T^{2} + 2015993900449 T^{4} )^{2}$$)($$( 1 + 538530 T^{2} + 2015993900449 T^{4} )^{2}$$)($$1 - 4615228 T^{2} + 9206362973894 T^{4} - 9304271497181437372 T^{6} +$$$$40\!\cdots\!01$$$$T^{8}$$)($$1 - 4615228 T^{2} + 9206362973894 T^{4} - 9304271497181437372 T^{6} +$$$$40\!\cdots\!01$$$$T^{8}$$)($$( 1 - 2808030 T^{2} + 2015993900449 T^{4} )^{2}$$)($$( 1 - 2346910 T^{2} + 2015993900449 T^{4} )^{2}$$)($$1 - 2487258 T^{2} + 7838169507183 T^{4} - 10425763805475099564 T^{6} +$$$$15\!\cdots\!67$$$$T^{8} -$$$$10\!\cdots\!58$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12}$$)($$1 - 2487258 T^{2} + 7838169507183 T^{4} - 10425763805475099564 T^{6} +$$$$15\!\cdots\!67$$$$T^{8} -$$$$10\!\cdots\!58$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12}$$)($$( 1 - 3874620 T^{2} + 7660063539398 T^{4} - 7811210286557704380 T^{6} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 2023930 T^{2} + 4060271182523 T^{4} - 4080230534935744570 T^{6} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 9110077 T^{2} + 41366402295503 T^{4} -$$$$12\!\cdots\!66$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} -$$$$43\!\cdots\!39$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12} -$$$$50\!\cdots\!66$$$$T^{14} +$$$$33\!\cdots\!47$$$$T^{16} -$$$$15\!\cdots\!77$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20}$$)($$1 - 9110077 T^{2} + 41366402295503 T^{4} -$$$$12\!\cdots\!66$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} -$$$$43\!\cdots\!39$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12} -$$$$50\!\cdots\!66$$$$T^{14} +$$$$33\!\cdots\!47$$$$T^{16} -$$$$15\!\cdots\!77$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20}$$)($$( 1 - 1018155 T^{2} + 3734942516022 T^{4} - 1670881124593450815 T^{6} +$$$$75\!\cdots\!78$$$$T^{8} -$$$$41\!\cdots\!55$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 + 100 T + 2767462 T^{2} + 141985700 T^{3} + 2015993900449 T^{4} )^{2}$$)($$( 1 + 6722749 T^{2} - 545024000 T^{3} + 22601282417039 T^{4} - 962702682880000 T^{5} + 51055568525206904654 T^{6} +$$$$24\!\cdots\!00$$$$T^{7} +$$$$89\!\cdots\!53$$$$T^{8} +$$$$11\!\cdots\!00$$$$T^{9} +$$$$13\!\cdots\!19$$$$T^{10} +$$$$16\!\cdots\!00$$$$T^{11} +$$$$17\!\cdots\!97$$$$T^{12} +$$$$70\!\cdots\!00$$$$T^{13} +$$$$20\!\cdots\!54$$$$T^{14} -$$$$55\!\cdots\!00$$$$T^{15} +$$$$18\!\cdots\!11$$$$T^{16} -$$$$63\!\cdots\!00$$$$T^{17} +$$$$11\!\cdots\!49$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 5447662 T^{2} - 1859072000 T^{3} + 15317572824845 T^{4} - 7413542230528000 T^{5} + 32518332783929091752 T^{6} -$$$$14\!\cdots\!00$$$$T^{7} +$$$$56\!\cdots\!10$$$$T^{8} -$$$$21\!\cdots\!00$$$$T^{9} +$$$$84\!\cdots\!72$$$$T^{10} -$$$$31\!\cdots\!00$$$$T^{11} +$$$$11\!\cdots\!90$$$$T^{12} -$$$$41\!\cdots\!00$$$$T^{13} +$$$$13\!\cdots\!52$$$$T^{14} -$$$$42\!\cdots\!00$$$$T^{15} +$$$$12\!\cdots\!05$$$$T^{16} -$$$$21\!\cdots\!00$$$$T^{17} +$$$$89\!\cdots\!62$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 6722749 T^{2} + 545024000 T^{3} + 22601282417039 T^{4} + 962702682880000 T^{5} + 51055568525206904654 T^{6} -$$$$24\!\cdots\!00$$$$T^{7} +$$$$89\!\cdots\!53$$$$T^{8} -$$$$11\!\cdots\!00$$$$T^{9} +$$$$13\!\cdots\!19$$$$T^{10} -$$$$16\!\cdots\!00$$$$T^{11} +$$$$17\!\cdots\!97$$$$T^{12} -$$$$70\!\cdots\!00$$$$T^{13} +$$$$20\!\cdots\!54$$$$T^{14} +$$$$55\!\cdots\!00$$$$T^{15} +$$$$18\!\cdots\!11$$$$T^{16} +$$$$63\!\cdots\!00$$$$T^{17} +$$$$11\!\cdots\!49$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 5524924 T^{2} + 11662436582342 T^{4} - 11138213084444290876 T^{6} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 10895324 T^{2} + 60312166915934 T^{4} -$$$$22\!\cdots\!84$$$$T^{6} +$$$$67\!\cdots\!93$$$$T^{8} -$$$$16\!\cdots\!64$$$$T^{10} +$$$$36\!\cdots\!12$$$$T^{12} -$$$$71\!\cdots\!84$$$$T^{14} +$$$$12\!\cdots\!46$$$$T^{16} -$$$$20\!\cdots\!24$$$$T^{18} +$$$$30\!\cdots\!28$$$$T^{20} -$$$$41\!\cdots\!76$$$$T^{22} +$$$$51\!\cdots\!46$$$$T^{24} -$$$$58\!\cdots\!16$$$$T^{26} +$$$$60\!\cdots\!12$$$$T^{28} -$$$$55\!\cdots\!36$$$$T^{30} +$$$$45\!\cdots\!93$$$$T^{32} -$$$$30\!\cdots\!16$$$$T^{34} +$$$$16\!\cdots\!34$$$$T^{36} -$$$$59\!\cdots\!76$$$$T^{38} +$$$$11\!\cdots\!01$$$$T^{40}$$)($$1 - 10895324 T^{2} + 60312166915934 T^{4} -$$$$22\!\cdots\!84$$$$T^{6} +$$$$67\!\cdots\!93$$$$T^{8} -$$$$16\!\cdots\!64$$$$T^{10} +$$$$36\!\cdots\!12$$$$T^{12} -$$$$71\!\cdots\!84$$$$T^{14} +$$$$12\!\cdots\!46$$$$T^{16} -$$$$20\!\cdots\!24$$$$T^{18} +$$$$30\!\cdots\!28$$$$T^{20} -$$$$41\!\cdots\!76$$$$T^{22} +$$$$51\!\cdots\!46$$$$T^{24} -$$$$58\!\cdots\!16$$$$T^{26} +$$$$60\!\cdots\!12$$$$T^{28} -$$$$55\!\cdots\!36$$$$T^{30} +$$$$45\!\cdots\!93$$$$T^{32} -$$$$30\!\cdots\!16$$$$T^{34} +$$$$16\!\cdots\!34$$$$T^{36} -$$$$59\!\cdots\!76$$$$T^{38} +$$$$11\!\cdots\!01$$$$T^{40}$$)
$19$ ($$1 + 1112 T + 2476099 T^{2}$$)($$1 + 2476099 T^{2}$$)($$1 + 2476099 T^{2}$$)($$1 + 2476099 T^{2}$$)($$1 - 1112 T + 2476099 T^{2}$$)($$( 1 + 2476099 T^{2} )^{2}$$)($$1 - 720 T + 4633798 T^{2} - 1782791280 T^{3} + 6131066257801 T^{4}$$)($$1 - 2512762 T^{2} + 6131066257801 T^{4}$$)($$1 + 4019078 T^{2} + 6131066257801 T^{4}$$)($$1 + 687238 T^{2} + 6131066257801 T^{4}$$)($$1 + 632198 T^{2} + 6131066257801 T^{4}$$)($$1 + 720 T + 4633798 T^{2} + 1782791280 T^{3} + 6131066257801 T^{4}$$)($$( 1 + 2476099 T^{2} )^{2}$$)($$1 - 3192 T + 9330057 T^{2} - 15933739216 T^{3} + 23102144807643 T^{4} - 19570363494900792 T^{5} + 15181127029874798299 T^{6}$$)($$1 + 3192 T + 9330057 T^{2} + 15933739216 T^{3} + 23102144807643 T^{4} + 19570363494900792 T^{5} + 15181127029874798299 T^{6}$$)($$1 + 8574646 T^{2} + 30599890459431 T^{4} + 52571722763188313446 T^{6} +$$$$37\!\cdots\!01$$$$T^{8}$$)($$1 + 8574646 T^{2} + 30599890459431 T^{4} + 52571722763188313446 T^{6} +$$$$37\!\cdots\!01$$$$T^{8}$$)($$1 + 1633036 T^{2} + 154661897526 T^{4} + 10012251917374313836 T^{6} +$$$$37\!\cdots\!01$$$$T^{8}$$)($$1 + 4485 T + 12501601 T^{2} + 21607836470 T^{3} + 29093337227017 T^{4} + 38411986388536715 T^{5} + 72037983214479566683 T^{6} +$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} +$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10}$$)($$1 - 4485 T + 12501601 T^{2} - 21607836470 T^{3} + 29093337227017 T^{4} - 38411986388536715 T^{5} + 72037983214479566683 T^{6} -$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} -$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10}$$)($$1 + 4485 T + 12501601 T^{2} + 21607836470 T^{3} + 29093337227017 T^{4} + 38411986388536715 T^{5} + 72037983214479566683 T^{6} +$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} +$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10}$$)($$1 - 4485 T + 12501601 T^{2} - 21607836470 T^{3} + 29093337227017 T^{4} - 38411986388536715 T^{5} + 72037983214479566683 T^{6} -$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} -$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10}$$)($$1 + 3143250 T^{2} + 17341223849991 T^{4} + 36134402435803900316 T^{6} +$$$$10\!\cdots\!91$$$$T^{8} +$$$$11\!\cdots\!50$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$1 + 8807519 T^{2} + 39268629467990 T^{4} +$$$$11\!\cdots\!55$$$$T^{6} +$$$$24\!\cdots\!90$$$$T^{8} +$$$$33\!\cdots\!19$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$1 + 8807519 T^{2} + 39268629467990 T^{4} +$$$$11\!\cdots\!55$$$$T^{6} +$$$$24\!\cdots\!90$$$$T^{8} +$$$$33\!\cdots\!19$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$1 + 8862994 T^{2} + 40251921150215 T^{4} +$$$$12\!\cdots\!80$$$$T^{6} +$$$$24\!\cdots\!15$$$$T^{8} +$$$$33\!\cdots\!94$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$1 + 8862994 T^{2} + 40251921150215 T^{4} +$$$$12\!\cdots\!80$$$$T^{6} +$$$$24\!\cdots\!15$$$$T^{8} +$$$$33\!\cdots\!94$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$1 + 3143250 T^{2} + 17341223849991 T^{4} + 36134402435803900316 T^{6} +$$$$10\!\cdots\!91$$$$T^{8} +$$$$11\!\cdots\!50$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12}$$)($$( 1 + 1112 T + 2476099 T^{2} )^{2}$$)($$( 1 - 1112 T + 2476099 T^{2} )^{2}$$)($$( 1 + 2476099 T^{2} )^{2}$$)($$( 1 + 632198 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 687238 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 - 720 T + 4633798 T^{2} - 1782791280 T^{3} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 720 T + 4633798 T^{2} + 1782791280 T^{3} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 4019078 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 - 2512762 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 3192 T + 9330057 T^{2} + 15933739216 T^{3} + 23102144807643 T^{4} + 19570363494900792 T^{5} + 15181127029874798299 T^{6} )^{2}$$)($$( 1 - 3192 T + 9330057 T^{2} - 15933739216 T^{3} + 23102144807643 T^{4} - 19570363494900792 T^{5} + 15181127029874798299 T^{6} )^{2}$$)($$( 1 + 1633036 T^{2} + 154661897526 T^{4} + 10012251917374313836 T^{6} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 8574646 T^{2} + 30599890459431 T^{4} + 52571722763188313446 T^{6} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 4485 T + 12501601 T^{2} - 21607836470 T^{3} + 29093337227017 T^{4} - 38411986388536715 T^{5} + 72037983214479566683 T^{6} -$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} -$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 4485 T + 12501601 T^{2} + 21607836470 T^{3} + 29093337227017 T^{4} + 38411986388536715 T^{5} + 72037983214479566683 T^{6} +$$$$13\!\cdots\!70$$$$T^{7} +$$$$18\!\cdots\!99$$$$T^{8} +$$$$16\!\cdots\!85$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 8807519 T^{2} + 39268629467990 T^{4} +$$$$11\!\cdots\!55$$$$T^{6} +$$$$24\!\cdots\!90$$$$T^{8} +$$$$33\!\cdots\!19$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 6794580 T^{2} + 21506967947254 T^{4} - 41658020173929518580 T^{6} +$$$$37\!\cdots\!01$$$$T^{8}$$)($$1 - 19537044 T^{2} + 190772511471937 T^{4} -$$$$12\!\cdots\!00$$$$T^{6} +$$$$66\!\cdots\!63$$$$T^{8} -$$$$28\!\cdots\!16$$$$T^{10} +$$$$10\!\cdots\!82$$$$T^{12} -$$$$36\!\cdots\!36$$$$T^{14} +$$$$11\!\cdots\!89$$$$T^{16} -$$$$31\!\cdots\!16$$$$T^{18} +$$$$79\!\cdots\!55$$$$T^{20} -$$$$19\!\cdots\!16$$$$T^{22} +$$$$41\!\cdots\!89$$$$T^{24} -$$$$84\!\cdots\!36$$$$T^{26} +$$$$15\!\cdots\!82$$$$T^{28} -$$$$25\!\cdots\!16$$$$T^{30} +$$$$35\!\cdots\!63$$$$T^{32} -$$$$41\!\cdots\!00$$$$T^{34} +$$$$38\!\cdots\!37$$$$T^{36} -$$$$23\!\cdots\!44$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$1 - 23638692 T^{2} + 296336418074734 T^{4} -$$$$25\!\cdots\!32$$$$T^{6} +$$$$17\!\cdots\!97$$$$T^{8} -$$$$93\!\cdots\!80$$$$T^{10} +$$$$42\!\cdots\!52$$$$T^{12} -$$$$16\!\cdots\!48$$$$T^{14} +$$$$56\!\cdots\!66$$$$T^{16} -$$$$16\!\cdots\!12$$$$T^{18} +$$$$44\!\cdots\!28$$$$T^{20} -$$$$10\!\cdots\!12$$$$T^{22} +$$$$21\!\cdots\!66$$$$T^{24} -$$$$38\!\cdots\!48$$$$T^{26} +$$$$60\!\cdots\!52$$$$T^{28} -$$$$80\!\cdots\!80$$$$T^{30} +$$$$91\!\cdots\!97$$$$T^{32} -$$$$83\!\cdots\!32$$$$T^{34} +$$$$59\!\cdots\!34$$$$T^{36} -$$$$28\!\cdots\!92$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$1 - 19537044 T^{2} + 190772511471937 T^{4} -$$$$12\!\cdots\!00$$$$T^{6} +$$$$66\!\cdots\!63$$$$T^{8} -$$$$28\!\cdots\!16$$$$T^{10} +$$$$10\!\cdots\!82$$$$T^{12} -$$$$36\!\cdots\!36$$$$T^{14} +$$$$11\!\cdots\!89$$$$T^{16} -$$$$31\!\cdots\!16$$$$T^{18} +$$$$79\!\cdots\!55$$$$T^{20} -$$$$19\!\cdots\!16$$$$T^{22} +$$$$41\!\cdots\!89$$$$T^{24} -$$$$84\!\cdots\!36$$$$T^{26} +$$$$15\!\cdots\!82$$$$T^{28} -$$$$25\!\cdots\!16$$$$T^{30} +$$$$35\!\cdots\!63$$$$T^{32} -$$$$41\!\cdots\!00$$$$T^{34} +$$$$38\!\cdots\!37$$$$T^{36} -$$$$23\!\cdots\!44$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$( 1 - 6794580 T^{2} + 21506967947254 T^{4} - 41658020173929518580 T^{6} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 23638692 T^{2} + 296336418074734 T^{4} -$$$$25\!\cdots\!32$$$$T^{6} +$$$$17\!\cdots\!97$$$$T^{8} -$$$$93\!\cdots\!80$$$$T^{10} +$$$$42\!\cdots\!52$$$$T^{12} -$$$$16\!\cdots\!48$$$$T^{14} +$$$$56\!\cdots\!66$$$$T^{16} -$$$$16\!\cdots\!12$$$$T^{18} +$$$$44\!\cdots\!28$$$$T^{20} -$$$$10\!\cdots\!12$$$$T^{22} +$$$$21\!\cdots\!66$$$$T^{24} -$$$$38\!\cdots\!48$$$$T^{26} +$$$$60\!\cdots\!52$$$$T^{28} -$$$$80\!\cdots\!80$$$$T^{30} +$$$$91\!\cdots\!97$$$$T^{32} -$$$$83\!\cdots\!32$$$$T^{34} +$$$$59\!\cdots\!34$$$$T^{36} -$$$$28\!\cdots\!92$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$1 - 23638692 T^{2} + 296336418074734 T^{4} -$$$$25\!\cdots\!32$$$$T^{6} +$$$$17\!\cdots\!97$$$$T^{8} -$$$$93\!\cdots\!80$$$$T^{10} +$$$$42\!\cdots\!52$$$$T^{12} -$$$$16\!\cdots\!48$$$$T^{14} +$$$$56\!\cdots\!66$$$$T^{16} -$$$$16\!\cdots\!12$$$$T^{18} +$$$$44\!\cdots\!28$$$$T^{20} -$$$$10\!\cdots\!12$$$$T^{22} +$$$$21\!\cdots\!66$$$$T^{24} -$$$$38\!\cdots\!48$$$$T^{26} +$$$$60\!\cdots\!52$$$$T^{28} -$$$$80\!\cdots\!80$$$$T^{30} +$$$$91\!\cdots\!97$$$$T^{32} -$$$$83\!\cdots\!32$$$$T^{34} +$$$$59\!\cdots\!34$$$$T^{36} -$$$$28\!\cdots\!92$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)
$23$ ($$1 - 3216 T + 6436343 T^{2}$$)($$1 + 6436343 T^{2}$$)($$1 + 6436343 T^{2}$$)($$1 + 6436343 T^{2}$$)($$1 + 3216 T + 6436343 T^{2}$$)($$1 + 4838 T + 11703122 T^{2} + 31139027434 T^{3} + 41426511213649 T^{4}$$)($$1 + 1688 T + 10950502 T^{2} + 10864546984 T^{3} + 41426511213649 T^{4}$$)($$1 - 3871674 T^{2} + 41426511213649 T^{4}$$)($$1 + 5934266 T^{2} + 41426511213649 T^{4}$$)($$1 + 9265626 T^{2} + 41426511213649 T^{4}$$)($$1 + 2891758 T^{2} + 41426511213649 T^{4}$$)($$1 - 1688 T + 10950502 T^{2} - 10864546984 T^{3} + 41426511213649 T^{4}$$)($$1 - 4838 T + 11703122 T^{2} - 31139027434 T^{3} + 41426511213649 T^{4}$$)($$1 + 6126 T + 29722593 T^{2} + 84141222540 T^{3} + 191304803397399 T^{4} + 253778807694813774 T^{5} +$$$$26\!\cdots\!07$$$$T^{6}$$)($$1 - 6126 T + 29722593 T^{2} - 84141222540 T^{3} + 191304803397399 T^{4} - 253778807694813774 T^{5} +$$$$26\!\cdots\!07$$$$T^{6}$$)($$1 + 5911844 T^{2} + 79263706443686 T^{4} +$$$$24\!\cdots\!56$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 + 5911844 T^{2} + 79263706443686 T^{4} +$$$$24\!\cdots\!56$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 + 25651084 T^{2} + 247347299659206 T^{4} +$$$$10\!\cdots\!16$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 - 3946 T + 28804603 T^{2} - 81774897320 T^{3} + 339736941171778 T^{4} - 725347252913883708 T^{5} +$$$$21\!\cdots\!54$$$$T^{6} -$$$$33\!\cdots\!80$$$$T^{7} +$$$$76\!\cdots\!21$$$$T^{8} -$$$$67\!\cdots\!46$$$$T^{9} +$$$$11\!\cdots\!43$$$$T^{10}$$)($$1 - 3946 T + 28804603 T^{2} - 81774897320 T^{3} + 339736941171778 T^{4} - 725347252913883708 T^{5} +$$$$21\!\cdots\!54$$$$T^{6} -$$$$33\!\cdots\!80$$$$T^{7} +$$$$76\!\cdots\!21$$$$T^{8} -$$$$67\!\cdots\!46$$$$T^{9} +$$$$11\!\cdots\!43$$$$T^{10}$$)($$1 + 3946 T + 28804603 T^{2} + 81774897320 T^{3} + 339736941171778 T^{4} + 725347252913883708 T^{5} +$$$$21\!\cdots\!54$$$$T^{6} +$$$$33\!\cdots\!80$$$$T^{7} +$$$$76\!\cdots\!21$$$$T^{8} +$$$$67\!\cdots\!46$$$$T^{9} +$$$$11\!\cdots\!43$$$$T^{10}$$)($$1 + 3946 T + 28804603 T^{2} + 81774897320 T^{3} + 339736941171778 T^{4} + 725347252913883708 T^{5} +$$$$21\!\cdots\!54$$$$T^{6} +$$$$33\!\cdots\!80$$$$T^{7} +$$$$76\!\cdots\!21$$$$T^{8} +$$$$67\!\cdots\!46$$$$T^{9} +$$$$11\!\cdots\!43$$$$T^{10}$$)($$( 1 - 694 T + 1276673 T^{2} + 8371666140 T^{3} + 8217105326839 T^{4} - 28749998782272406 T^{5} +$$$$26\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 + 13074430 T^{2} + 26099998735519 T^{4} -$$$$24\!\cdots\!92$$$$T^{6} +$$$$10\!\cdots\!31$$$$T^{8} +$$$$22\!\cdots\!30$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$1 + 13074430 T^{2} + 26099998735519 T^{4} -$$$$24\!\cdots\!92$$$$T^{6} +$$$$10\!\cdots\!31$$$$T^{8} +$$$$22\!\cdots\!30$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$1 + 27906430 T^{2} + 367961637958719 T^{4} +$$$$29\!\cdots\!08$$$$T^{6} +$$$$15\!\cdots\!31$$$$T^{8} +$$$$47\!\cdots\!30$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$1 + 27906430 T^{2} + 367961637958719 T^{4} +$$$$29\!\cdots\!08$$$$T^{6} +$$$$15\!\cdots\!31$$$$T^{8} +$$$$47\!\cdots\!30$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$( 1 + 694 T + 1276673 T^{2} - 8371666140 T^{3} + 8217105326839 T^{4} + 28749998782272406 T^{5} +$$$$26\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 - 2530030 T^{2} + 41426511213649 T^{4}$$)($$1 - 2530030 T^{2} + 41426511213649 T^{4}$$)($$( 1 - 6436343 T^{2} )^{2}$$)($$( 1 - 2891758 T^{2} + 41426511213649 T^{4} )^{2}$$)($$( 1 - 9265626 T^{2} + 41426511213649 T^{4} )^{2}$$)($$1 - 19051660 T^{2} + 166087805861318 T^{4} -$$$$78\!\cdots\!40$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 - 19051660 T^{2} + 166087805861318 T^{4} -$$$$78\!\cdots\!40$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$( 1 - 5934266 T^{2} + 41426511213649 T^{4} )^{2}$$)($$( 1 + 3871674 T^{2} + 41426511213649 T^{4} )^{2}$$)($$1 - 21917310 T^{2} + 235143882878367 T^{4} -$$$$17\!\cdots\!80$$$$T^{6} +$$$$97\!\cdots\!83$$$$T^{8} -$$$$37\!\cdots\!10$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$1 - 21917310 T^{2} + 235143882878367 T^{4} -$$$$17\!\cdots\!80$$$$T^{6} +$$$$97\!\cdots\!83$$$$T^{8} -$$$$37\!\cdots\!10$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$( 1 - 25651084 T^{2} + 247347299659206 T^{4} -$$$$10\!\cdots\!16$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 5911844 T^{2} + 79263706443686 T^{4} -$$$$24\!\cdots\!56$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 42038290 T^{2} + 863811546681725 T^{4} -$$$$11\!\cdots\!40$$$$T^{6} +$$$$11\!\cdots\!70$$$$T^{8} -$$$$81\!\cdots\!40$$$$T^{10} +$$$$46\!\cdots\!30$$$$T^{12} -$$$$19\!\cdots\!40$$$$T^{14} +$$$$61\!\cdots\!25$$$$T^{16} -$$$$12\!\cdots\!90$$$$T^{18} +$$$$12\!\cdots\!49$$$$T^{20}$$)($$1 - 42038290 T^{2} + 863811546681725 T^{4} -$$$$11\!\cdots\!40$$$$T^{6} +$$$$11\!\cdots\!70$$$$T^{8} -$$$$81\!\cdots\!40$$$$T^{10} +$$$$46\!\cdots\!30$$$$T^{12} -$$$$19\!\cdots\!40$$$$T^{14} +$$$$61\!\cdots\!25$$$$T^{16} -$$$$12\!\cdots\!90$$$$T^{18} +$$$$12\!\cdots\!49$$$$T^{20}$$)($$( 1 - 13074430 T^{2} + 26099998735519 T^{4} +$$$$24\!\cdots\!92$$$$T^{6} +$$$$10\!\cdots\!31$$$$T^{8} -$$$$22\!\cdots\!30$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 - 1168 T + 10055470 T^{2} - 7517648624 T^{3} + 41426511213649 T^{4} )^{2}$$)($$( 1 + 3592 T + 33328758 T^{2} + 119546576248 T^{3} + 626674767239613 T^{4} + 2023485136300327200 T^{5} +$$$$80\!\cdots\!40$$$$T^{6} +$$$$22\!\cdots\!16$$$$T^{7} +$$$$76\!\cdots\!06$$$$T^{8} +$$$$19\!\cdots\!60$$$$T^{9} +$$$$55\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!80$$$$T^{11} +$$$$31\!\cdots\!94$$$$T^{12} +$$$$61\!\cdots\!12$$$$T^{13} +$$$$13\!\cdots\!40$$$$T^{14} +$$$$22\!\cdots\!00$$$$T^{15} +$$$$44\!\cdots\!37$$$$T^{16} +$$$$54\!\cdots\!36$$$$T^{17} +$$$$98\!\cdots\!58$$$$T^{18} +$$$$68\!\cdots\!56$$$$T^{19} +$$$$12\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 2338 T + 35997660 T^{2} + 45007042654 T^{3} + 520972471777845 T^{4} + 50426407997609208 T^{5} +$$$$39\!\cdots\!60$$$$T^{6} -$$$$66\!\cdots\!96$$$$T^{7} +$$$$17\!\cdots\!10$$$$T^{8} -$$$$91\!\cdots\!52$$$$T^{9} +$$$$76\!\cdots\!60$$$$T^{10} -$$$$58\!\cdots\!36$$$$T^{11} +$$$$74\!\cdots\!90$$$$T^{12} -$$$$17\!\cdots\!72$$$$T^{13} +$$$$68\!\cdots\!60$$$$T^{14} +$$$$55\!\cdots\!44$$$$T^{15} +$$$$37\!\cdots\!05$$$$T^{16} +$$$$20\!\cdots\!78$$$$T^{17} +$$$$10\!\cdots\!60$$$$T^{18} +$$$$44\!\cdots\!34$$$$T^{19} +$$$$12\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 3592 T + 33328758 T^{2} - 119546576248 T^{3} + 626674767239613 T^{4} - 2023485136300327200 T^{5} +$$$$80\!\cdots\!40$$$$T^{6} -$$$$22\!\cdots\!16$$$$T^{7} +$$$$76\!\cdots\!06$$$$T^{8} -$$$$19\!\cdots\!60$$$$T^{9} +$$$$55\!\cdots\!04$$$$T^{10} -$$$$12\!\cdots\!80$$$$T^{11} +$$$$31\!\cdots\!94$$$$T^{12} -$$$$61\!\cdots\!12$$$$T^{13} +$$$$13\!\cdots\!40$$$$T^{14} -$$$$22\!\cdots\!00$$$$T^{15} +$$$$44\!\cdots\!37$$$$T^{16} -$$$$54\!\cdots\!36$$$$T^{17} +$$$$98\!\cdots\!58$$$$T^{18} -$$$$68\!\cdots\!56$$$$T^{19} +$$$$12\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 18746716 T^{2} + 166404272162534 T^{4} -$$$$77\!\cdots\!84$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 66529076 T^{2} + 2127323537581186 T^{4} -$$$$43\!\cdots\!96$$$$T^{6} +$$$$62\!\cdots\!77$$$$T^{8} -$$$$66\!\cdots\!76$$$$T^{10} +$$$$53\!\cdots\!68$$$$T^{12} -$$$$31\!\cdots\!96$$$$T^{14} +$$$$12\!\cdots\!34$$$$T^{16} -$$$$26\!\cdots\!76$$$$T^{18} +$$$$95\!\cdots\!68$$$$T^{20} -$$$$10\!\cdots\!24$$$$T^{22} +$$$$21\!\cdots\!34$$$$T^{24} -$$$$22\!\cdots\!04$$$$T^{26} +$$$$15\!\cdots\!68$$$$T^{28} -$$$$80\!\cdots\!24$$$$T^{30} +$$$$31\!\cdots\!77$$$$T^{32} -$$$$90\!\cdots\!04$$$$T^{34} +$$$$18\!\cdots\!86$$$$T^{36} -$$$$23\!\cdots\!24$$$$T^{38} +$$$$14\!\cdots\!01$$$$T^{40}$$)($$1 - 66529076 T^{2} + 2127323537581186 T^{4} -$$$$43\!\cdots\!96$$$$T^{6} +$$$$62\!\cdots\!77$$$$T^{8} -$$$$66\!\cdots\!76$$$$T^{10} +$$$$53\!\cdots\!68$$$$T^{12} -$$$$31\!\cdots\!96$$$$T^{14} +$$$$12\!\cdots\!34$$$$T^{16} -$$$$26\!\cdots\!76$$$$T^{18} +$$$$95\!\cdots\!68$$$$T^{20} -$$$$10\!\cdots\!24$$$$T^{22} +$$$$21\!\cdots\!34$$$$T^{24} -$$$$22\!\cdots\!04$$$$T^{26} +$$$$15\!\cdots\!68$$$$T^{28} -$$$$80\!\cdots\!24$$$$T^{30} +$$$$31\!\cdots\!77$$$$T^{32} -$$$$90\!\cdots\!04$$$$T^{34} +$$$$18\!\cdots\!86$$$$T^{36} -$$$$23\!\cdots\!24$$$$T^{38} +$$$$14\!\cdots\!01$$$$T^{40}$$)
$29$ ($$1 - 2918 T + 20511149 T^{2}$$)($$1 + 2950 T + 20511149 T^{2}$$)($$1 + 2950 T + 20511149 T^{2}$$)($$1 - 2950 T + 20511149 T^{2}$$)($$1 - 2918 T + 20511149 T^{2}$$)($$( 1 + 1686 T + 20511149 T^{2} )^{2}$$)($$1 - 108 T + 39233214 T^{2} - 2215204092 T^{3} + 420707233300201 T^{4}$$)($$( 1 + 4010 T + 20511149 T^{2} )^{2}$$)($$( 1 - 4110 T + 20511149 T^{2} )^{2}$$)($$( 1 + 4530 T + 20511149 T^{2} )^{2}$$)($$( 1 + 2554 T + 20511149 T^{2} )^{2}$$)($$1 - 108 T + 39233214 T^{2} - 2215204092 T^{3} + 420707233300201 T^{4}$$)($$( 1 + 1686 T + 20511149 T^{2} )^{2}$$)($$1 - 426 T - 939693 T^{2} + 141773503364 T^{3} - 19274183137257 T^{4} - 179221281385885626 T^{5} +$$$$86\!\cdots\!49$$$$T^{6}$$)($$1 - 426 T - 939693 T^{2} + 141773503364 T^{3} - 19274183137257 T^{4} - 179221281385885626 T^{5} +$$$$86\!\cdots\!49$$$$T^{6}$$)($$( 1 + 2804 T + 24855898 T^{2} + 57513261796 T^{3} + 420707233300201 T^{4} )^{2}$$)($$( 1 + 2804 T + 24855898 T^{2} + 57513261796 T^{3} + 420707233300201 T^{4} )^{2}$$)($$( 1 + 84 T + 9837118 T^{2} + 1722936516 T^{3} + 420707233300201 T^{4} )^{2}$$)($$1 + 3252 T + 58920849 T^{2} + 180794629712 T^{3} + 1901306884501354 T^{4} + 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} +$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} +$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10}$$)($$1 + 3252 T + 58920849 T^{2} + 180794629712 T^{3} + 1901306884501354 T^{4} + 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} +$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} +$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10}$$)($$1 + 3252 T + 58920849 T^{2} + 180794629712 T^{3} + 1901306884501354 T^{4} + 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} +$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} +$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10}$$)($$1 + 3252 T + 58920849 T^{2} + 180794629712 T^{3} + 1901306884501354 T^{4} + 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} +$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} +$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10}$$)($$( 1 - 1966 T + 38511987 T^{2} - 51339089236 T^{3} + 789925103643063 T^{4} - 827110420668195166 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 2076 T + 3518727 T^{2} - 42075647448 T^{3} + 72173133787323 T^{4} - 873388216331217276 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 2076 T + 3518727 T^{2} - 42075647448 T^{3} + 72173133787323 T^{4} - 873388216331217276 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 5326 T + 46243827 T^{2} - 133362268948 T^{3} + 948514025927223 T^{4} - 2240686724556870526 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 5326 T + 46243827 T^{2} - 133362268948 T^{3} + 948514025927223 T^{4} - 2240686724556870526 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 1966 T + 38511987 T^{2} - 51339089236 T^{3} + 789925103643063 T^{4} - 827110420668195166 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 + 2918 T + 20511149 T^{2} )^{2}$$)($$( 1 + 2918 T + 20511149 T^{2} )^{2}$$)($$( 1 + 2950 T + 20511149 T^{2} )^{2}$$)($$( 1 - 2554 T + 20511149 T^{2} )^{4}$$)($$( 1 - 4530 T + 20511149 T^{2} )^{4}$$)($$( 1 + 108 T + 39233214 T^{2} + 2215204092 T^{3} + 420707233300201 T^{4} )^{2}$$)($$( 1 + 108 T + 39233214 T^{2} + 2215204092 T^{3} + 420707233300201 T^{4} )^{2}$$)($$( 1 + 4110 T + 20511149 T^{2} )^{4}$$)($$( 1 - 4010 T + 20511149 T^{2} )^{4}$$)($$( 1 + 426 T - 939693 T^{2} - 141773503364 T^{3} - 19274183137257 T^{4} + 179221281385885626 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 + 426 T - 939693 T^{2} - 141773503364 T^{3} - 19274183137257 T^{4} + 179221281385885626 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 84 T + 9837118 T^{2} - 1722936516 T^{3} + 420707233300201 T^{4} )^{4}$$)($$( 1 - 2804 T + 24855898 T^{2} - 57513261796 T^{3} + 420707233300201 T^{4} )^{4}$$)($$( 1 - 3252 T + 58920849 T^{2} - 180794629712 T^{3} + 1901306884501354 T^{4} - 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} -$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} -$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 - 3252 T + 58920849 T^{2} - 180794629712 T^{3} + 1901306884501354 T^{4} - 5432007039260706936 T^{5} +$$$$38\!\cdots\!46$$$$T^{6} -$$$$76\!\cdots\!12$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8} -$$$$57\!\cdots\!52$$$$T^{9} +$$$$36\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 2076 T + 3518727 T^{2} + 42075647448 T^{3} + 72173133787323 T^{4} + 873388216331217276 T^{5} +$$$$86\!\cdots\!49$$$$T^{6} )^{4}$$)($$1 - 31255380 T^{2} + 976386653995702 T^{4} -$$$$13\!\cdots\!80$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 - 194688400 T^{2} + 19854384741035398 T^{4} -$$$$13\!\cdots\!00$$$$T^{6} +$$$$74\!\cdots\!97$$$$T^{8} -$$$$32\!\cdots\!00$$$$T^{10} +$$$$11\!\cdots\!08$$$$T^{12} -$$$$37\!\cdots\!00$$$$T^{14} +$$$$10\!\cdots\!02$$$$T^{16} -$$$$25\!\cdots\!00$$$$T^{18} +$$$$54\!\cdots\!88$$$$T^{20} -$$$$10\!\cdots\!00$$$$T^{22} +$$$$18\!\cdots\!02$$$$T^{24} -$$$$27\!\cdots\!00$$$$T^{26} +$$$$37\!\cdots\!08$$$$T^{28} -$$$$42\!\cdots\!00$$$$T^{30} +$$$$41\!\cdots\!97$$$$T^{32} -$$$$32\!\cdots\!00$$$$T^{34} +$$$$19\!\cdots\!98$$$$T^{36} -$$$$80\!\cdots\!00$$$$T^{38} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$1 - 215092900 T^{2} + 23243889276296494 T^{4} -$$$$16\!\cdots\!00$$$$T^{6} +$$$$90\!\cdots\!13$$$$T^{8} -$$$$38\!\cdots\!00$$$$T^{10} +$$$$13\!\cdots\!92$$$$T^{12} -$$$$42\!\cdots\!00$$$$T^{14} +$$$$11\!\cdots\!86$$$$T^{16} -$$$$27\!\cdots\!00$$$$T^{18} +$$$$58\!\cdots\!28$$$$T^{20} -$$$$11\!\cdots\!00$$$$T^{22} +$$$$20\!\cdots\!86$$$$T^{24} -$$$$31\!\cdots\!00$$$$T^{26} +$$$$43\!\cdots\!92$$$$T^{28} -$$$$51\!\cdots\!00$$$$T^{30} +$$$$50\!\cdots\!13$$$$T^{32} -$$$$39\!\cdots\!00$$$$T^{34} +$$$$22\!\cdots\!94$$$$T^{36} -$$$$88\!\cdots\!00$$$$T^{38} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$1 - 194688400 T^{2} + 19854384741035398 T^{4} -$$$$13\!\cdots\!00$$$$T^{6} +$$$$74\!\cdots\!97$$$$T^{8} -$$$$32\!\cdots\!00$$$$T^{10} +$$$$11\!\cdots\!08$$$$T^{12} -$$$$37\!\cdots\!00$$$$T^{14} +$$$$10\!\cdots\!02$$$$T^{16} -$$$$25\!\cdots\!00$$$$T^{18} +$$$$54\!\cdots\!88$$$$T^{20} -$$$$10\!\cdots\!00$$$$T^{22} +$$$$18\!\cdots\!02$$$$T^{24} -$$$$27\!\cdots\!00$$$$T^{26} +$$$$37\!\cdots\!08$$$$T^{28} -$$$$42\!\cdots\!00$$$$T^{30} +$$$$41\!\cdots\!97$$$$T^{32} -$$$$32\!\cdots\!00$$$$T^{34} +$$$$19\!\cdots\!98$$$$T^{36} -$$$$80\!\cdots\!00$$$$T^{38} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$( 1 - 31255380 T^{2} + 976386653995702 T^{4} -$$$$13\!\cdots\!80$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 215092900 T^{2} + 23243889276296494 T^{4} -$$$$16\!\cdots\!00$$$$T^{6} +$$$$90\!\cdots\!13$$$$T^{8} -$$$$38\!\cdots\!00$$$$T^{10} +$$$$13\!\cdots\!92$$$$T^{12} -$$$$42\!\cdots\!00$$$$T^{14} +$$$$11\!\cdots\!86$$$$T^{16} -$$$$27\!\cdots\!00$$$$T^{18} +$$$$58\!\cdots\!28$$$$T^{20} -$$$$11\!\cdots\!00$$$$T^{22} +$$$$20\!\cdots\!86$$$$T^{24} -$$$$31\!\cdots\!00$$$$T^{26} +$$$$43\!\cdots\!92$$$$T^{28} -$$$$51\!\cdots\!00$$$$T^{30} +$$$$50\!\cdots\!13$$$$T^{32} -$$$$39\!\cdots\!00$$$$T^{34} +$$$$22\!\cdots\!94$$$$T^{36} -$$$$88\!\cdots\!00$$$$T^{38} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$1 - 215092900 T^{2} + 23243889276296494 T^{4} -$$$$16\!\cdots\!00$$$$T^{6} +$$$$90\!\cdots\!13$$$$T^{8} -$$$$38\!\cdots\!00$$$$T^{10} +$$$$13\!\cdots\!92$$$$T^{12} -$$$$42\!\cdots\!00$$$$T^{14} +$$$$11\!\cdots\!86$$$$T^{16} -$$$$27\!\cdots\!00$$$$T^{18} +$$$$58\!\cdots\!28$$$$T^{20} -$$$$11\!\cdots\!00$$$$T^{22} +$$$$20\!\cdots\!86$$$$T^{24} -$$$$31\!\cdots\!00$$$$T^{26} +$$$$43\!\cdots\!92$$$$T^{28} -$$$$51\!\cdots\!00$$$$T^{30} +$$$$50\!\cdots\!13$$$$T^{32} -$$$$39\!\cdots\!00$$$$T^{34} +$$$$22\!\cdots\!94$$$$T^{36} -$$$$88\!\cdots\!00$$$$T^{38} +$$$$17\!\cdots\!01$$$$T^{40}$$)
$31$ ($$1 - 2624 T + 28629151 T^{2}$$)($$1 + 28629151 T^{2}$$)($$1 + 28629151 T^{2}$$)($$1 + 28629151 T^{2}$$)($$1 + 2624 T + 28629151 T^{2}$$)($$( 1 + 28629151 T^{2} )^{2}$$)($$1 - 9840 T + 76732702 T^{2} - 281710845840 T^{3} + 819628286980801 T^{4}$$)($$1 + 36406942 T^{2} + 819628286980801 T^{4}$$)($$1 + 47289582 T^{2} + 819628286980801 T^{4}$$)($$1 + 43928942 T^{2} + 819628286980801 T^{4}$$)($$1 + 53276990 T^{2} + 819628286980801 T^{4}$$)($$1 + 9840 T + 76732702 T^{2} + 281710845840 T^{3} + 819628286980801 T^{4}$$)($$( 1 + 28629151 T^{2} )^{2}$$)($$1 - 3276 T + 2292813 T^{2} + 41639420248 T^{3} + 65641289591763 T^{4} - 2685102268149104076 T^{5} +$$$$23\!\cdots\!51$$$$T^{6}$$)($$1 + 3276 T + 2292813 T^{2} - 41639420248 T^{3} + 65641289591763 T^{4} + 2685102268149104076 T^{5} +$$$$23\!\cdots\!51$$$$T^{6}$$)($$1 + 103009732 T^{2} + 4259568177035462 T^{4} +$$$$84\!\cdots\!32$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 103009732 T^{2} + 4259568177035462 T^{4} +$$$$84\!\cdots\!32$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 24283452 T^{2} + 1637830022018822 T^{4} +$$$$19\!\cdots\!52$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 8250 T + 120556099 T^{2} + 854323338280 T^{3} + 6336384967622242 T^{4} + 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} +$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} +$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 - 8250 T + 120556099 T^{2} - 854323338280 T^{3} + 6336384967622242 T^{4} - 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} -$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} -$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 + 8250 T + 120556099 T^{2} + 854323338280 T^{3} + 6336384967622242 T^{4} + 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} +$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} +$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 - 8250 T + 120556099 T^{2} - 854323338280 T^{3} + 6336384967622242 T^{4} - 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} -$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} -$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 + 47574970 T^{2} + 2163796989249871 T^{4} +$$$$78\!\cdots\!04$$$$T^{6} +$$$$17\!\cdots\!71$$$$T^{8} +$$$$31\!\cdots\!70$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 26131694 T^{2} + 414413614760367 T^{4} +$$$$25\!\cdots\!48$$$$T^{6} +$$$$33\!\cdots\!67$$$$T^{8} +$$$$17\!\cdots\!94$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 26131694 T^{2} + 414413614760367 T^{4} +$$$$25\!\cdots\!48$$$$T^{6} +$$$$33\!\cdots\!67$$$$T^{8} +$$$$17\!\cdots\!94$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 10594234 T^{2} - 153174449706673 T^{4} +$$$$19\!\cdots\!88$$$$T^{6} -$$$$12\!\cdots\!73$$$$T^{8} +$$$$71\!\cdots\!34$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 10594234 T^{2} - 153174449706673 T^{4} +$$$$19\!\cdots\!88$$$$T^{6} -$$$$12\!\cdots\!73$$$$T^{8} +$$$$71\!\cdots\!34$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 47574970 T^{2} + 2163796989249871 T^{4} +$$$$78\!\cdots\!04$$$$T^{6} +$$$$17\!\cdots\!71$$$$T^{8} +$$$$31\!\cdots\!70$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$( 1 + 2624 T + 28629151 T^{2} )^{2}$$)($$( 1 - 2624 T + 28629151 T^{2} )^{2}$$)($$( 1 + 28629151 T^{2} )^{2}$$)($$( 1 + 53276990 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 + 43928942 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 + 9840 T + 76732702 T^{2} + 281710845840 T^{3} + 819628286980801 T^{4} )^{2}$$)($$( 1 - 9840 T + 76732702 T^{2} - 281710845840 T^{3} + 819628286980801 T^{4} )^{2}$$)($$( 1 + 47289582 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 + 36406942 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 - 3276 T + 2292813 T^{2} + 41639420248 T^{3} + 65641289591763 T^{4} - 2685102268149104076 T^{5} +$$$$23\!\cdots\!51$$$$T^{6} )^{2}$$)($$( 1 + 3276 T + 2292813 T^{2} - 41639420248 T^{3} + 65641289591763 T^{4} + 2685102268149104076 T^{5} +$$$$23\!\cdots\!51$$$$T^{6} )^{2}$$)($$( 1 + 24283452 T^{2} + 1637830022018822 T^{4} +$$$$19\!\cdots\!52$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 103009732 T^{2} + 4259568177035462 T^{4} +$$$$84\!\cdots\!32$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 8250 T + 120556099 T^{2} + 854323338280 T^{3} + 6336384967622242 T^{4} + 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} +$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} +$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 8250 T + 120556099 T^{2} - 854323338280 T^{3} + 6336384967622242 T^{4} - 35548315279501204060 T^{5} +$$$$18\!\cdots\!42$$$$T^{6} -$$$$70\!\cdots\!80$$$$T^{7} +$$$$28\!\cdots\!49$$$$T^{8} -$$$$55\!\cdots\!50$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 26131694 T^{2} + 414413614760367 T^{4} +$$$$25\!\cdots\!48$$$$T^{6} +$$$$33\!\cdots\!67$$$$T^{8} +$$$$17\!\cdots\!94$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 - 6464 T + 65013054 T^{2} - 185058832064 T^{3} + 819628286980801 T^{4} )^{2}$$)($$( 1 + 3580 T + 131571318 T^{2} + 507021925412 T^{3} + 10469685097196269 T^{4} + 38590491378242212848 T^{5} +$$$$57\!\cdots\!04$$$$T^{6} +$$$$19\!\cdots\!16$$$$T^{7} +$$$$23\!\cdots\!50$$$$T^{8} +$$$$75\!\cdots\!88$$$$T^{9} +$$$$77\!\cdots\!04$$$$T^{10} +$$$$21\!\cdots\!88$$$$T^{11} +$$$$19\!\cdots\!50$$$$T^{12} +$$$$46\!\cdots\!16$$$$T^{13} +$$$$38\!\cdots\!04$$$$T^{14} +$$$$74\!\cdots\!48$$$$T^{15} +$$$$57\!\cdots\!69$$$$T^{16} +$$$$79\!\cdots\!12$$$$T^{17} +$$$$59\!\cdots\!18$$$$T^{18} +$$$$46\!\cdots\!80$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 3580 T + 132421614 T^{2} + 484936307876 T^{3} + 8983138546835629 T^{4} + 33755686429634218608 T^{5} +$$$$43\!\cdots\!88$$$$T^{6} +$$$$16\!\cdots\!96$$$$T^{7} +$$$$17\!\cdots\!38$$$$T^{8} +$$$$60\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!44$$$$T^{10} +$$$$17\!\cdots\!32$$$$T^{11} +$$$$13\!\cdots\!38$$$$T^{12} +$$$$38\!\cdots\!96$$$$T^{13} +$$$$29\!\cdots\!88$$$$T^{14} +$$$$64\!\cdots\!08$$$$T^{15} +$$$$49\!\cdots\!29$$$$T^{16} +$$$$76\!\cdots\!76$$$$T^{17} +$$$$59\!\cdots\!14$$$$T^{18} +$$$$46\!\cdots\!80$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 3580 T + 131571318 T^{2} + 507021925412 T^{3} + 10469685097196269 T^{4} + 38590491378242212848 T^{5} +$$$$57\!\cdots\!04$$$$T^{6} +$$$$19\!\cdots\!16$$$$T^{7} +$$$$23\!\cdots\!50$$$$T^{8} +$$$$75\!\cdots\!88$$$$T^{9} +$$$$77\!\cdots\!04$$$$T^{10} +$$$$21\!\cdots\!88$$$$T^{11} +$$$$19\!\cdots\!50$$$$T^{12} +$$$$46\!\cdots\!16$$$$T^{13} +$$$$38\!\cdots\!04$$$$T^{14} +$$$$74\!\cdots\!48$$$$T^{15} +$$$$57\!\cdots\!69$$$$T^{16} +$$$$79\!\cdots\!12$$$$T^{17} +$$$$59\!\cdots\!18$$$$T^{18} +$$$$46\!\cdots\!80$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 6464 T + 65013054 T^{2} - 185058832064 T^{3} + 819628286980801 T^{4} )^{4}$$)($$( 1 + 3580 T + 132421614 T^{2} + 484936307876 T^{3} + 8983138546835629 T^{4} + 33755686429634218608 T^{5} +$$$$43\!\cdots\!88$$$$T^{6} +$$$$16\!\cdots\!96$$$$T^{7} +$$$$17\!\cdots\!38$$$$T^{8} +$$$$60\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!44$$$$T^{10} +$$$$17\!\cdots\!32$$$$T^{11} +$$$$13\!\cdots\!38$$$$T^{12} +$$$$38\!\cdots\!96$$$$T^{13} +$$$$29\!\cdots\!88$$$$T^{14} +$$$$64\!\cdots\!08$$$$T^{15} +$$$$49\!\cdots\!29$$$$T^{16} +$$$$76\!\cdots\!76$$$$T^{17} +$$$$59\!\cdots\!14$$$$T^{18} +$$$$46\!\cdots\!80$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 3580 T + 132421614 T^{2} + 484936307876 T^{3} + 8983138546835629 T^{4} + 33755686429634218608 T^{5} +$$$$43\!\cdots\!88$$$$T^{6} +$$$$16\!\cdots\!96$$$$T^{7} +$$$$17\!\cdots\!38$$$$T^{8} +$$$$60\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!44$$$$T^{10} +$$$$17\!\cdots\!32$$$$T^{11} +$$$$13\!\cdots\!38$$$$T^{12} +$$$$38\!\cdots\!96$$$$T^{13} +$$$$29\!\cdots\!88$$$$T^{14} +$$$$64\!\cdots\!08$$$$T^{15} +$$$$49\!\cdots\!29$$$$T^{16} +$$$$76\!\cdots\!76$$$$T^{17} +$$$$59\!\cdots\!14$$$$T^{18} +$$$$46\!\cdots\!80$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)
$37$ ($$1 - 9458 T + 69343957 T^{2}$$)($$1 + 11292 T + 69343957 T^{2}$$)($$1 - 11292 T + 69343957 T^{2}$$)($$1 - 12242 T + 69343957 T^{2}$$)($$1 - 9458 T + 69343957 T^{2}$$)($$( 1 + 69343957 T^{2} )^{2}$$)($$1 + 6540 T + 61572814 T^{2} + 453509478780 T^{3} + 4808584372417849 T^{4}$$)($$( 1 - 14778 T + 69343957 T^{2} )^{2}$$)($$( 1 + 7442 T + 69343957 T^{2} )^{2}$$)($$( 1 + 338 T + 69343957 T^{2} )^{2}$$)($$( 1 + 11950 T + 69343957 T^{2} )^{2}$$)($$1 + 6540 T + 61572814 T^{2} + 453509478780 T^{3} + 4808584372417849 T^{4}$$)($$( 1 + 69343957 T^{2} )^{2}$$)($$1 - 11562 T + 90623691 T^{2} - 525372493468 T^{3} + 6284205331885287 T^{4} - 55596852513895170138 T^{5} +$$$$33\!\cdots\!93$$$$T^{6}$$)($$1 - 11562 T + 90623691 T^{2} - 525372493468 T^{3} + 6284205331885287 T^{4} - 55596852513895170138 T^{5} +$$$$33\!\cdots\!93$$$$T^{6}$$)($$( 1 + 1232 T + 139033094 T^{2} + 85431755024 T^{3} + 4808584372417849 T^{4} )^{2}$$)($$( 1 - 1232 T + 139033094 T^{2} - 85431755024 T^{3} + 4808584372417849 T^{4} )^{2}$$)($$( 1 + 9868 T + 159567054 T^{2} + 684286167676 T^{3} + 4808584372417849 T^{4} )^{2}$$)($$1 + 3210 T + 192163681 T^{2} + 833098301560 T^{3} + 19193875742591506 T^{4} + 85367933385327575260 T^{5} +$$$$13\!\cdots\!42$$$$T^{6} +$$$$40\!\cdots\!40$$$$T^{7} +$$$$64\!\cdots\!33$$$$T^{8} +$$$$74\!\cdots\!10$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10}$$)($$1 - 3210 T + 192163681 T^{2} - 833098301560 T^{3} + 19193875742591506 T^{4} - 85367933385327575260 T^{5} +$$$$13\!\cdots\!42$$$$T^{6} -$$$$40\!\cdots\!40$$$$T^{7} +$$$$64\!\cdots\!33$$$$T^{8} -$$$$74\!\cdots\!10$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10}$$)($$1 - 3210 T + 192163681 T^{2} - 833098301560 T^{3} + 19193875742591506 T^{4} - 85367933385327575260 T^{5} +$$$$13\!\cdots\!42$$$$T^{6} -$$$$40\!\cdots\!40$$$$T^{7} +$$$$64\!\cdots\!33$$$$T^{8} -$$$$74\!\cdots\!10$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10}$$)($$1 + 3210 T + 192163681 T^{2} + 833098301560 T^{3} + 19193875742591506 T^{4} + 85367933385327575260 T^{5} +$$$$13\!\cdots\!42$$$$T^{6} +$$$$40\!\cdots\!40$$$$T^{7} +$$$$64\!\cdots\!33$$$$T^{8} +$$$$74\!\cdots\!10$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10}$$)($$1 + 301201198 T^{2} + 42883739211630103 T^{4} +$$$$37\!\cdots\!24$$$$T^{6} +$$$$20\!\cdots\!47$$$$T^{8} +$$$$69\!\cdots\!98$$$$T^{10} +$$$$11\!\cdots\!49$$$$T^{12}$$)($$( 1 - 174 T + 105734715 T^{2} - 413061060436 T^{3} + 7332063530367255 T^{4} - 836693680800705726 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 + 174 T + 105734715 T^{2} + 413061060436 T^{3} + 7332063530367255 T^{4} + 836693680800705726 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 + 10036 T + 167847775 T^{2} + 965047729544 T^{3} + 11639228892145675 T^{4} + 48258952761585532564 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 - 10036 T + 167847775 T^{2} - 965047729544 T^{3} + 11639228892145675 T^{4} - 48258952761585532564 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{2}$$)($$1 + 301201198 T^{2} + 42883739211630103 T^{4} +$$$$37\!\cdots\!24$$$$T^{6} +$$$$20\!\cdots\!47$$$$T^{8} +$$$$69\!\cdots\!98$$$$T^{10} +$$$$11\!\cdots\!49$$$$T^{12}$$)($$1 - 49234150 T^{2} + 4808584372417849 T^{4}$$)($$1 - 49234150 T^{2} + 4808584372417849 T^{4}$$)($$( 1 - 11292 T + 69343957 T^{2} )( 1 + 11292 T + 69343957 T^{2} )$$)($$( 1 + 4114586 T^{2} + 4808584372417849 T^{4} )^{2}$$)($$( 1 - 138573670 T^{2} + 4808584372417849 T^{4} )^{2}$$)($$1 - 80374028 T^{2} + 7476476186271894 T^{4} -$$$$38\!\cdots\!72$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8}$$)($$1 - 80374028 T^{2} + 7476476186271894 T^{4} -$$$$38\!\cdots\!72$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8}$$)($$( 1 - 83304550 T^{2} + 4808584372417849 T^{4} )^{2}$$)($$( 1 + 79701370 T^{2} + 4808584372417849 T^{4} )^{2}$$)($$1 - 47567538 T^{2} + 8632350495280023 T^{4} -$$$$24\!\cdots\!84$$$$T^{6} +$$$$41\!\cdots\!27$$$$T^{8} -$$$$10\!\cdots\!38$$$$T^{10} +$$$$11\!\cdots\!49$$$$T^{12}$$)($$1 - 47567538 T^{2} + 8632350495280023 T^{4} -$$$$24\!\cdots\!84$$$$T^{6} +$$$$41\!\cdots\!27$$$$T^{8} -$$$$10\!\cdots\!38$$$$T^{10} +$$$$11\!\cdots\!49$$$$T^{12}$$)($$( 1 - 221756684 T^{2} + 21573741661821078 T^{4} -$$$$10\!\cdots\!16$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 276548364 T^{2} + 28736866127669398 T^{4} -$$$$13\!\cdots\!36$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 374023262 T^{2} + 69966140684637573 T^{4} -$$$$87\!\cdots\!56$$$$T^{6} +$$$$84\!\cdots\!06$$$$T^{8} -$$$$64\!\cdots\!64$$$$T^{10} +$$$$40\!\cdots\!94$$$$T^{12} -$$$$20\!\cdots\!56$$$$T^{14} +$$$$77\!\cdots\!77$$$$T^{16} -$$$$19\!\cdots\!62$$$$T^{18} +$$$$25\!\cdots\!49$$$$T^{20}$$)($$1 - 374023262 T^{2} + 69966140684637573 T^{4} -$$$$87\!\cdots\!56$$$$T^{6} +$$$$84\!\cdots\!06$$$$T^{8} -$$$$64\!\cdots\!64$$$$T^{10} +$$$$40\!\cdots\!94$$$$T^{12} -$$$$20\!\cdots\!56$$$$T^{14} +$$$$77\!\cdots\!77$$$$T^{16} -$$$$19\!\cdots\!62$$$$T^{18} +$$$$25\!\cdots\!49$$$$T^{20}$$)($$( 1 - 211439154 T^{2} + 25700211767834007 T^{4} -$$$$20\!\cdots\!92$$$$T^{6} +$$$$12\!\cdots\!43$$$$T^{8} -$$$$48\!\cdots\!54$$$$T^{10} +$$$$11\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 241262580 T^{2} + 24149916431784598 T^{4} -$$$$11\!\cdots\!20$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8}$$)($$1 - 792713376 T^{2} + 301057585986940102 T^{4} -$$$$73\!\cdots\!84$$$$T^{6} +$$$$13\!\cdots\!29$$$$T^{8} -$$$$18\!\cdots\!60$$$$T^{10} +$$$$21\!\cdots\!36$$$$T^{12} -$$$$21\!\cdots\!44$$$$T^{14} +$$$$19\!\cdots\!38$$$$T^{16} -$$$$15\!\cdots\!96$$$$T^{18} +$$$$11\!\cdots\!88$$$$T^{20} -$$$$75\!\cdots\!04$$$$T^{22} +$$$$45\!\cdots\!38$$$$T^{24} -$$$$24\!\cdots\!56$$$$T^{26} +$$$$11\!\cdots\!36$$$$T^{28} -$$$$47\!\cdots\!40$$$$T^{30} +$$$$16\!\cdots\!29$$$$T^{32} -$$$$43\!\cdots\!16$$$$T^{34} +$$$$86\!\cdots\!02$$$$T^{36} -$$$$10\!\cdots\!24$$$$T^{38} +$$$$66\!\cdots\!01$$$$T^{40}$$)($$1 - 565372668 T^{2} + 171401952644913934 T^{4} -$$$$36\!\cdots\!00$$$$T^{6} +$$$$59\!\cdots\!09$$$$T^{8} -$$$$80\!\cdots\!44$$$$T^{10} +$$$$93\!\cdots\!16$$$$T^{12} -$$$$93\!\cdots\!40$$$$T^{14} +$$$$83\!\cdots\!86$$$$T^{16} -$$$$67\!\cdots\!48$$$$T^{18} +$$$$48\!\cdots\!08$$$$T^{20} -$$$$32\!\cdots\!52$$$$T^{22} +$$$$19\!\cdots\!86$$$$T^{24} -$$$$10\!\cdots\!60$$$$T^{26} +$$$$49\!\cdots\!16$$$$T^{28} -$$$$20\!\cdots\!56$$$$T^{30} +$$$$73\!\cdots\!09$$$$T^{32} -$$$$21\!\cdots\!00$$$$T^{34} +$$$$48\!\cdots\!34$$$$T^{36} -$$$$77\!\cdots\!32$$$$T^{38} +$$$$66\!\cdots\!01$$$$T^{40}$$)($$1 - 792713376 T^{2} + 301057585986940102 T^{4} -$$$$73\!\cdots\!84$$$$T^{6} +$$$$13\!\cdots\!29$$$$T^{8} -$$$$18\!\cdots\!60$$$$T^{10} +$$$$21\!\cdots\!36$$$$T^{12} -$$$$21\!\cdots\!44$$$$T^{14} +$$$$19\!\cdots\!38$$$$T^{16} -$$$$15\!\cdots\!96$$$$T^{18} +$$$$11\!\cdots\!88$$$$T^{20} -$$$$75\!\cdots\!04$$$$T^{22} +$$$$45\!\cdots\!38$$$$T^{24} -$$$$24\!\cdots\!56$$$$T^{26} +$$$$11\!\cdots\!36$$$$T^{28} -$$$$47\!\cdots\!40$$$$T^{30} +$$$$16\!\cdots\!29$$$$T^{32} -$$$$43\!\cdots\!16$$$$T^{34} +$$$$86\!\cdots\!02$$$$T^{36} -$$$$10\!\cdots\!24$$$$T^{38} +$$$$66\!\cdots\!01$$$$T^{40}$$)($$( 1 + 241262580 T^{2} + 24149916431784598 T^{4} +$$$$11\!\cdots\!20$$$$T^{6} +$$$$23\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 1804 T + 284313542 T^{2} + 1097684257564 T^{3} + 47264103640809541 T^{4} +$$$$20\!\cdots\!52$$$$T^{5} +$$$$56\!\cdots\!84$$$$T^{6} +$$$$27\!\cdots\!12$$$$T^{7} +$$$$53\!\cdots\!62$$$$T^{8} +$$$$25\!\cdots\!76$$$$T^{9} +$$$$40\!\cdots\!48$$$$T^{10} +$$$$17\!\cdots\!32$$$$T^{11} +$$$$25\!\cdots\!38$$$$T^{12} +$$$$91\!\cdots\!16$$$$T^{13} +$$$$13\!\cdots\!84$$$$T^{14} +$$$$33\!\cdots\!64$$$$T^{15} +$$$$52\!\cdots\!09$$$$T^{16} +$$$$84\!\cdots\!52$$$$T^{17} +$$$$15\!\cdots\!42$$$$T^{18} +$$$$66\!\cdots\!28$$$$T^{19} +$$$$25\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 1804 T + 284313542 T^{2} - 1097684257564 T^{3} + 47264103640809541 T^{4} -$$$$20\!\cdots\!52$$$$T^{5} +$$$$56\!\cdots\!84$$$$T^{6} -$$$$27\!\cdots\!12$$$$T^{7} +$$$$53\!\cdots\!62$$$$T^{8} -$$$$25\!\cdots\!76$$$$T^{9} +$$$$40\!\cdots\!48$$$$T^{10} -$$$$17\!\cdots\!32$$$$T^{11} +$$$$25\!\cdots\!38$$$$T^{12} -$$$$91\!\cdots\!16$$$$T^{13} +$$$$13\!\cdots\!84$$$$T^{14} -$$$$33\!\cdots\!64$$$$T^{15} +$$$$52\!\cdots\!09$$$$T^{16} -$$$$84\!\cdots\!52$$$$T^{17} +$$$$15\!\cdots\!42$$$$T^{18} -$$$$66\!\cdots\!28$$$$T^{19} +$$$$25\!\cdots\!49$$$$T^{20} )^{2}$$)
$41$ ($$1 - 170 T + 115856201 T^{2}$$)($$1 - 20950 T + 115856201 T^{2}$$)($$1 - 20950 T + 115856201 T^{2}$$)($$1 + 20950 T + 115856201 T^{2}$$)($$1 - 170 T + 115856201 T^{2}$$)($$1 - 211028098 T^{2} + 13422659310152401 T^{4}$$)($$1 + 10620 T + 77106582 T^{2} + 1230392854620 T^{3} + 13422659310152401 T^{4}$$)($$( 1 + 4350 T + 115856201 T^{2} )^{2}$$)($$( 1 - 7270 T + 115856201 T^{2} )^{2}$$)($$( 1 + 6330 T + 115856201 T^{2} )^{2}$$)($$( 1 + 5078 T + 115856201 T^{2} )^{2}$$)($$1 + 10620 T + 77106582 T^{2} + 1230392854620 T^{3} + 13422659310152401 T^{4}$$)($$1 - 211028098 T^{2} + 13422659310152401 T^{4}$$)($$1 - 12450 T + 384843783 T^{2} - 2886023186300 T^{3} + 44586538676848383 T^{4} -$$$$16\!\cdots\!50$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6}$$)($$1 - 12450 T + 384843783 T^{2} - 2886023186300 T^{3} + 44586538676848383 T^{4} -$$$$16\!\cdots\!50$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6}$$)($$( 1 - 2362 T + 166748827 T^{2} - 273652346762 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$( 1 - 2362 T + 166748827 T^{2} - 273652346762 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$( 1 - 23812 T + 331016342 T^{2} - 2758767858212 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10}$$)($$1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10}$$)($$1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10}$$)($$1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10}$$)($$( 1 - 16390 T + 318388423 T^{2} - 3510238606580 T^{3} + 36887273131161023 T^{4} -$$$$21\!\cdots\!90$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 5167 T + 303702118 T^{2} - 1155964650859 T^{3} + 35185773627133718 T^{4} - 69354880655557455967 T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 5167 T + 303702118 T^{2} - 1155964650859 T^{3} + 35185773627133718 T^{4} - 69354880655557455967 T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 + 27418 T + 531273543 T^{2} + 6402679071436 T^{3} + 61551334383790143 T^{4} +$$$$36\!\cdots\!18$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 + 27418 T + 531273543 T^{2} + 6402679071436 T^{3} + 61551334383790143 T^{4} +$$$$36\!\cdots\!18$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 16390 T + 318388423 T^{2} - 3510238606580 T^{3} + 36887273131161023 T^{4} -$$$$21\!\cdots\!90$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 170 T + 115856201 T^{2} )^{2}$$)($$( 1 - 170 T + 115856201 T^{2} )^{2}$$)($$( 1 + 20950 T + 115856201 T^{2} )^{2}$$)($$( 1 + 5078 T + 115856201 T^{2} )^{4}$$)($$( 1 + 6330 T + 115856201 T^{2} )^{4}$$)($$( 1 + 10620 T + 77106582 T^{2} + 1230392854620 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$( 1 + 10620 T + 77106582 T^{2} + 1230392854620 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$( 1 - 7270 T + 115856201 T^{2} )^{4}$$)($$( 1 + 4350 T + 115856201 T^{2} )^{4}$$)($$( 1 - 12450 T + 384843783 T^{2} - 2886023186300 T^{3} + 44586538676848383 T^{4} -$$$$16\!\cdots\!50$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 12450 T + 384843783 T^{2} - 2886023186300 T^{3} + 44586538676848383 T^{4} -$$$$16\!\cdots\!50$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 23812 T + 331016342 T^{2} - 2758767858212 T^{3} + 13422659310152401 T^{4} )^{4}$$)($$( 1 - 2362 T + 166748827 T^{2} - 273652346762 T^{3} + 13422659310152401 T^{4} )^{4}$$)($$( 1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 + 11415 T + 343211175 T^{2} + 1948003513210 T^{3} + 41961472497955645 T^{4} +$$$$14\!\cdots\!65$$$$T^{5} +$$$$48\!\cdots\!45$$$$T^{6} +$$$$26\!\cdots\!10$$$$T^{7} +$$$$53\!\cdots\!75$$$$T^{8} +$$$$20\!\cdots\!15$$$$T^{9} +$$$$20\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 5167 T + 303702118 T^{2} - 1155964650859 T^{3} + 35185773627133718 T^{4} - 69354880655557455967 T^{5} +$$$$15\!\cdots\!01$$$$T^{6} )^{4}$$)($$( 1 + 2284 T + 146603254 T^{2} + 264615563084 T^{3} + 13422659310152401 T^{4} )^{2}$$)($$( 1 + 2902 T + 560132979 T^{2} + 1945718092382 T^{3} + 143903130645172231 T^{4} +$$$$66\!\cdots\!08$$$$T^{5} +$$$$24\!\cdots\!46$$$$T^{6} +$$$$15\!\cdots\!60$$$$T^{7} +$$$$35\!\cdots\!69$$$$T^{8} +$$$$26\!\cdots\!46$$$$T^{9} +$$$$44\!\cdots\!77$$$$T^{10} +$$$$30\!\cdots\!46$$$$T^{11} +$$$$47\!\cdots\!69$$$$T^{12} +$$$$24\!\cdots\!60$$$$T^{13} +$$$$44\!\cdots\!46$$$$T^{14} +$$$$13\!\cdots\!08$$$$T^{15} +$$$$34\!\cdots\!31$$$$T^{16} +$$$$54\!\cdots\!82$$$$T^{17} +$$$$18\!\cdots\!79$$$$T^{18} +$$$$10\!\cdots\!02$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 5804 T + 580737234 T^{2} - 4176614475628 T^{3} + 181136735899530493 T^{4} -$$$$13\!\cdots\!48$$$$T^{5} +$$$$39\!\cdots\!40$$$$T^{6} -$$$$28\!\cdots\!68$$$$T^{7} +$$$$63\!\cdots\!42$$$$T^{8} -$$$$43\!\cdots\!24$$$$T^{9} +$$$$82\!\cdots\!24$$$$T^{10} -$$$$49\!\cdots\!24$$$$T^{11} +$$$$85\!\cdots\!42$$$$T^{12} -$$$$44\!\cdots\!68$$$$T^{13} +$$$$70\!\cdots\!40$$$$T^{14} -$$$$28\!\cdots\!48$$$$T^{15} +$$$$43\!\cdots\!93$$$$T^{16} -$$$$11\!\cdots\!28$$$$T^{17} +$$$$18\!\cdots\!34$$$$T^{18} -$$$$21\!\cdots\!04$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 2902 T + 560132979 T^{2} + 1945718092382 T^{3} + 143903130645172231 T^{4} +$$$$66\!\cdots\!08$$$$T^{5} +$$$$24\!\cdots\!46$$$$T^{6} +$$$$15\!\cdots\!60$$$$T^{7} +$$$$35\!\cdots\!69$$$$T^{8} +$$$$26\!\cdots\!46$$$$T^{9} +$$$$44\!\cdots\!77$$$$T^{10} +$$$$30\!\cdots\!46$$$$T^{11} +$$$$47\!\cdots\!69$$$$T^{12} +$$$$24\!\cdots\!60$$$$T^{13} +$$$$44\!\cdots\!46$$$$T^{14} +$$$$13\!\cdots\!08$$$$T^{15} +$$$$34\!\cdots\!31$$$$T^{16} +$$$$54\!\cdots\!82$$$$T^{17} +$$$$18\!\cdots\!79$$$$T^{18} +$$$$10\!\cdots\!02$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 2284 T + 146603254 T^{2} + 264615563084 T^{3} + 13422659310152401 T^{4} )^{4}$$)($$( 1 - 5804 T + 580737234 T^{2} - 4176614475628 T^{3} + 181136735899530493 T^{4} -$$$$13\!\cdots\!48$$$$T^{5} +$$$$39\!\cdots\!40$$$$T^{6} -$$$$28\!\cdots\!68$$$$T^{7} +$$$$63\!\cdots\!42$$$$T^{8} -$$$$43\!\cdots\!24$$$$T^{9} +$$$$82\!\cdots\!24$$$$T^{10} -$$$$49\!\cdots\!24$$$$T^{11} +$$$$85\!\cdots\!42$$$$T^{12} -$$$$44\!\cdots\!68$$$$T^{13} +$$$$70\!\cdots\!40$$$$T^{14} -$$$$28\!\cdots\!48$$$$T^{15} +$$$$43\!\cdots\!93$$$$T^{16} -$$$$11\!\cdots\!28$$$$T^{17} +$$$$18\!\cdots\!34$$$$T^{18} -$$$$21\!\cdots\!04$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 5804 T + 580737234 T^{2} - 4176614475628 T^{3} + 181136735899530493 T^{4} -$$$$13\!\cdots\!48$$$$T^{5} +$$$$39\!\cdots\!40$$$$T^{6} -$$$$28\!\cdots\!68$$$$T^{7} +$$$$63\!\cdots\!42$$$$T^{8} -$$$$43\!\cdots\!24$$$$T^{9} +$$$$82\!\cdots\!24$$$$T^{10} -$$$$49\!\cdots\!24$$$$T^{11} +$$$$85\!\cdots\!42$$$$T^{12} -$$$$44\!\cdots\!68$$$$T^{13} +$$$$70\!\cdots\!40$$$$T^{14} -$$$$28\!\cdots\!48$$$$T^{15} +$$$$43\!\cdots\!93$$$$T^{16} -$$$$11\!\cdots\!28$$$$T^{17} +$$$$18\!\cdots\!34$$$$T^{18} -$$$$21\!\cdots\!04$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)
$43$ ($$1 + 19928 T + 147008443 T^{2}$$)($$1 + 147008443 T^{2}$$)($$1 + 147008443 T^{2}$$)($$1 + 147008443 T^{2}$$)($$1 - 19928 T + 147008443 T^{2}$$)($$1 + 11862 T + 70353522 T^{2} + 1743814150866 T^{3} + 21611482313284249 T^{4}$$)($$1 + 25672 T + 364912302 T^{2} + 3774000748696 T^{3} + 21611482313284249 T^{4}$$)($$1 + 139567886 T^{2} + 21611482313284249 T^{4}$$)($$1 - 26783614 T^{2} + 21611482313284249 T^{4}$$)($$1 - 35859614 T^{2} + 21611482313284249 T^{4}$$)($$1 + 136416374 T^{2} + 21611482313284249 T^{4}$$)($$1 - 25672 T + 364912302 T^{2} - 3774000748696 T^{3} + 21611482313284249 T^{4}$$)($$1 - 11862 T + 70353522 T^{2} - 1743814150866 T^{3} + 21611482313284249 T^{4}$$)($$1 + 26346 T + 640605069 T^{2} + 8098987233524 T^{3} + 94174353771597567 T^{4} +$$$$56\!\cdots\!54$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6}$$)($$1 - 26346 T + 640605069 T^{2} - 8098987233524 T^{3} + 94174353771597567 T^{4} -$$$$56\!\cdots\!54$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6}$$)($$1 + 541044700 T^{2} + 115921260979035702 T^{4} +$$$$11\!\cdots\!00$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 + 541044700 T^{2} + 115921260979035702 T^{4} +$$$$11\!\cdots\!00$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 + 385757980 T^{2} + 71059469286049782 T^{4} +$$$$83\!\cdots\!20$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 - 428 T + 603799959 T^{2} - 9193671376 T^{3} + 159084708630081002 T^{4} + 15136272982790452152 T^{5} +$$$$23\!\cdots\!86$$$$T^{6} -$$$$19\!\cdots\!24$$$$T^{7} +$$$$19\!\cdots\!13$$$$T^{8} -$$$$19\!\cdots\!28$$$$T^{9} +$$$$68\!\cdots\!43$$$$T^{10}$$)($$1 - 428 T + 603799959 T^{2} - 9193671376 T^{3} + 159084708630081002 T^{4} + 15136272982790452152 T^{5} +$$$$23\!\cdots\!86$$$$T^{6} -$$$$19\!\cdots\!24$$$$T^{7} +$$$$19\!\cdots\!13$$$$T^{8} -$$$$19\!\cdots\!28$$$$T^{9} +$$$$68\!\cdots\!43$$$$T^{10}$$)($$1 + 428 T + 603799959 T^{2} + 9193671376 T^{3} + 159084708630081002 T^{4} - 15136272982790452152 T^{5} +$$$$23\!\cdots\!86$$$$T^{6} +$$$$19\!\cdots\!24$$$$T^{7} +$$$$19\!\cdots\!13$$$$T^{8} +$$$$19\!\cdots\!28$$$$T^{9} +$$$$68\!\cdots\!43$$$$T^{10}$$)($$1 + 428 T + 603799959 T^{2} + 9193671376 T^{3} + 159084708630081002 T^{4} - 15136272982790452152 T^{5} +$$$$23\!\cdots\!86$$$$T^{6} +$$$$19\!\cdots\!24$$$$T^{7} +$$$$19\!\cdots\!13$$$$T^{8} +$$$$19\!\cdots\!28$$$$T^{9} +$$$$68\!\cdots\!43$$$$T^{10}$$)($$( 1 + 7706 T + 349870309 T^{2} + 2441555644524 T^{3} + 51433889378018887 T^{4} +$$$$16\!\cdots\!94$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 + 76382546 T^{2} + 58843802853385271 T^{4} +$$$$33\!\cdots\!12$$$$T^{6} +$$$$12\!\cdots\!79$$$$T^{8} +$$$$35\!\cdots\!46$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$1 + 76382546 T^{2} + 58843802853385271 T^{4} +$$$$33\!\cdots\!12$$$$T^{6} +$$$$12\!\cdots\!79$$$$T^{8} +$$$$35\!\cdots\!46$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$1 + 613900486 T^{2} + 182904754783784951 T^{4} +$$$$33\!\cdots\!72$$$$T^{6} +$$$$39\!\cdots\!99$$$$T^{8} +$$$$28\!\cdots\!86$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$1 + 613900486 T^{2} + 182904754783784951 T^{4} +$$$$33\!\cdots\!72$$$$T^{6} +$$$$39\!\cdots\!99$$$$T^{8} +$$$$28\!\cdots\!86$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$( 1 - 7706 T + 349870309 T^{2} - 2441555644524 T^{3} + 51433889378018887 T^{4} -$$$$16\!\cdots\!94$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 + 103108298 T^{2} + 21611482313284249 T^{4}$$)($$1 + 103108298 T^{2} + 21611482313284249 T^{4}$$)($$( 1 - 147008443 T^{2} )^{2}$$)($$( 1 - 136416374 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$( 1 + 35859614 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$1 - 70773020 T^{2} - 17388341663539722 T^{4} -$$$$15\!\cdots\!80$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 - 70773020 T^{2} - 17388341663539722 T^{4} -$$$$15\!\cdots\!80$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$( 1 + 26783614 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$( 1 - 139567886 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$1 - 587098422 T^{2} + 171971726662843287 T^{4} -$$$$31\!\cdots\!16$$$$T^{6} +$$$$37\!\cdots\!63$$$$T^{8} -$$$$27\!\cdots\!22$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$1 - 587098422 T^{2} + 171971726662843287 T^{4} -$$$$31\!\cdots\!16$$$$T^{6} +$$$$37\!\cdots\!63$$$$T^{8} -$$$$27\!\cdots\!22$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$( 1 - 385757980 T^{2} + 71059469286049782 T^{4} -$$$$83\!\cdots\!20$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 541044700 T^{2} + 115921260979035702 T^{4} -$$$$11\!\cdots\!00$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 1207416734 T^{2} + 682735937965865829 T^{4} -$$$$23\!\cdots\!44$$$$T^{6} +$$$$57\!\cdots\!38$$$$T^{8} -$$$$98\!\cdots\!44$$$$T^{10} +$$$$12\!\cdots\!62$$$$T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$68\!\cdots\!21$$$$T^{16} -$$$$26\!\cdots\!34$$$$T^{18} +$$$$47\!\cdots\!49$$$$T^{20}$$)($$1 - 1207416734 T^{2} + 682735937965865829 T^{4} -$$$$23\!\cdots\!44$$$$T^{6} +$$$$57\!\cdots\!38$$$$T^{8} -$$$$98\!\cdots\!44$$$$T^{10} +$$$$12\!\cdots\!62$$$$T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$68\!\cdots\!21$$$$T^{16} -$$$$26\!\cdots\!34$$$$T^{18} +$$$$47\!\cdots\!49$$$$T^{20}$$)($$( 1 - 76382546 T^{2} + 58843802853385271 T^{4} -$$$$33\!\cdots\!12$$$$T^{6} +$$$$12\!\cdots\!79$$$$T^{8} -$$$$35\!\cdots\!46$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 466346868 T^{2} + 96250708269010006 T^{4} -$$$$10\!\cdots\!32$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 - 1683418240 T^{2} + 1403149703244388806 T^{4} -$$$$77\!\cdots\!32$$$$T^{6} +$$$$31\!\cdots\!85$$$$T^{8} -$$$$10\!\cdots\!68$$$$T^{10} +$$$$27\!\cdots\!64$$$$T^{12} -$$$$62\!\cdots\!20$$$$T^{14} +$$$$12\!\cdots\!58$$$$T^{16} -$$$$21\!\cdots\!16$$$$T^{18} +$$$$33\!\cdots\!72$$$$T^{20} -$$$$46\!\cdots\!84$$$$T^{22} +$$$$57\!\cdots\!58$$$$T^{24} -$$$$62\!\cdots\!80$$$$T^{26} +$$$$59\!\cdots\!64$$$$T^{28} -$$$$48\!\cdots\!32$$$$T^{30} +$$$$32\!\cdots\!85$$$$T^{32} -$$$$16\!\cdots\!68$$$$T^{34} +$$$$66\!\cdots\!06$$$$T^{36} -$$$$17\!\cdots\!60$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)($$1 - 1208126740 T^{2} + 787740581508660018 T^{4} -$$$$36\!\cdots\!96$$$$T^{6} +$$$$12\!\cdots\!73$$$$T^{8} -$$$$37\!\cdots\!80$$$$T^{10} +$$$$95\!\cdots\!40$$$$T^{12} -$$$$20\!\cdots\!56$$$$T^{14} +$$$$40\!\cdots\!70$$$$T^{16} -$$$$70\!\cdots\!00$$$$T^{18} +$$$$10\!\cdots\!96$$$$T^{20} -$$$$15\!\cdots\!00$$$$T^{22} +$$$$18\!\cdots\!70$$$$T^{24} -$$$$21\!\cdots\!44$$$$T^{26} +$$$$20\!\cdots\!40$$$$T^{28} -$$$$17\!\cdots\!20$$$$T^{30} +$$$$13\!\cdots\!73$$$$T^{32} -$$$$79\!\cdots\!04$$$$T^{34} +$$$$37\!\cdots\!18$$$$T^{36} -$$$$12\!\cdots\!60$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)($$1 - 1683418240 T^{2} + 1403149703244388806 T^{4} -$$$$77\!\cdots\!32$$$$T^{6} +$$$$31\!\cdots\!85$$$$T^{8} -$$$$10\!\cdots\!68$$$$T^{10} +$$$$27\!\cdots\!64$$$$T^{12} -$$$$62\!\cdots\!20$$$$T^{14} +$$$$12\!\cdots\!58$$$$T^{16} -$$$$21\!\cdots\!16$$$$T^{18} +$$$$33\!\cdots\!72$$$$T^{20} -$$$$46\!\cdots\!84$$$$T^{22} +$$$$57\!\cdots\!58$$$$T^{24} -$$$$62\!\cdots\!80$$$$T^{26} +$$$$59\!\cdots\!64$$$$T^{28} -$$$$48\!\cdots\!32$$$$T^{30} +$$$$32\!\cdots\!85$$$$T^{32} -$$$$16\!\cdots\!68$$$$T^{34} +$$$$66\!\cdots\!06$$$$T^{36} -$$$$17\!\cdots\!60$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)($$( 1 + 466346868 T^{2} + 96250708269010006 T^{4} +$$$$10\!\cdots\!32$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 25886 T + 939105868 T^{2} - 16747180555994 T^{3} + 386427890970773981 T^{4} -$$$$54\!\cdots\!28$$$$T^{5} +$$$$97\!\cdots\!16$$$$T^{6} -$$$$11\!\cdots\!52$$$$T^{7} +$$$$18\!\cdots\!22$$$$T^{8} -$$$$18\!\cdots\!64$$$$T^{9} +$$$$28\!\cdots\!32$$$$T^{10} -$$$$27\!\cdots\!52$$$$T^{11} +$$$$39\!\cdots\!78$$$$T^{12} -$$$$36\!\cdots\!64$$$$T^{13} +$$$$45\!\cdots\!16$$$$T^{14} -$$$$37\!\cdots\!04$$$$T^{15} +$$$$39\!\cdots\!69$$$$T^{16} -$$$$24\!\cdots\!58$$$$T^{17} +$$$$20\!\cdots\!68$$$$T^{18} -$$$$83\!\cdots\!98$$$$T^{19} +$$$$47\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 25886 T + 939105868 T^{2} + 16747180555994 T^{3} + 386427890970773981 T^{4} +$$$$54\!\cdots\!28$$$$T^{5} +$$$$97\!\cdots\!16$$$$T^{6} +$$$$11\!\cdots\!52$$$$T^{7} +$$$$18\!\cdots\!22$$$$T^{8} +$$$$18\!\cdots\!64$$$$T^{9} +$$$$28\!\cdots\!32$$$$T^{10} +$$$$27\!\cdots\!52$$$$T^{11} +$$$$39\!\cdots\!78$$$$T^{12} +$$$$36\!\cdots\!64$$$$T^{13} +$$$$45\!\cdots\!16$$$$T^{14} +$$$$37\!\cdots\!04$$$$T^{15} +$$$$39\!\cdots\!69$$$$T^{16} +$$$$24\!\cdots\!58$$$$T^{17} +$$$$20\!\cdots\!68$$$$T^{18} +$$$$83\!\cdots\!98$$$$T^{19} +$$$$47\!\cdots\!49$$$$T^{20} )^{2}$$)
$47$ ($$1 - 32 T + 229345007 T^{2}$$)($$1 + 229345007 T^{2}$$)($$1 + 229345007 T^{2}$$)($$1 + 229345007 T^{2}$$)($$1 + 32 T + 229345007 T^{2}$$)($$1 - 33334 T + 555577778 T^{2} - 7644986463338 T^{3} + 52599132235830049 T^{4}$$)($$1 + 28296 T + 617782998 T^{2} + 6489546318072 T^{3} + 52599132235830049 T^{4}$$)($$1 + 422513974 T^{2} + 52599132235830049 T^{4}$$)($$1 + 403777034 T^{2} + 52599132235830049 T^{4}$$)($$1 + 442383274 T^{2} + 52599132235830049 T^{4}$$)($$1 + 307289566 T^{2} + 52599132235830049 T^{4}$$)($$1 - 28296 T + 617782998 T^{2} - 6489546318072 T^{3} + 52599132235830049 T^{4}$$)($$1 + 33334 T + 555577778 T^{2} + 7644986463338 T^{3} + 52599132235830049 T^{4}$$)($$1 + 36762 T + 1119958377 T^{2} + 18490559326820 T^{3} + 256856861812773639 T^{4} +$$$$19\!\cdots\!38$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6}$$)($$1 - 36762 T + 1119958377 T^{2} - 18490559326820 T^{3} + 256856861812773639 T^{4} -$$$$19\!\cdots\!38$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6}$$)($$1 + 464873580 T^{2} + 117215868278322022 T^{4} +$$$$24\!\cdots\!20$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$1 + 464873580 T^{2} + 117215868278322022 T^{4} +$$$$24\!\cdots\!20$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$1 + 353765740 T^{2} + 66158288717340582 T^{4} +$$$$18\!\cdots\!60$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$1 - 9672 T + 546247707 T^{2} - 5593607220320 T^{3} + 147048499379567098 T^{4} -$$$$15\!\cdots\!56$$$$T^{5} +$$$$33\!\cdots\!86$$$$T^{6} -$$$$29\!\cdots\!80$$$$T^{7} +$$$$65\!\cdots\!01$$$$T^{8} -$$$$26\!\cdots\!72$$$$T^{9} +$$$$63\!\cdots\!07$$$$T^{10}$$)($$1 - 9672 T + 546247707 T^{2} - 5593607220320 T^{3} + 147048499379567098 T^{4} -$$$$15\!\cdots\!56$$$$T^{5} +$$$$33\!\cdots\!86$$$$T^{6} -$$$$29\!\cdots\!80$$$$T^{7} +$$$$65\!\cdots\!01$$$$T^{8} -$$$$26\!\cdots\!72$$$$T^{9} +$$$$63\!\cdots\!07$$$$T^{10}$$)($$1 + 9672 T + 546247707 T^{2} + 5593607220320 T^{3} + 147048499379567098 T^{4} +$$$$15\!\cdots\!56$$$$T^{5} +$$$$33\!\cdots\!86$$$$T^{6} +$$$$29\!\cdots\!80$$$$T^{7} +$$$$65\!\cdots\!01$$$$T^{8} +$$$$26\!\cdots\!72$$$$T^{9} +$$$$63\!\cdots\!07$$$$T^{10}$$)($$1 + 9672 T + 546247707 T^{2} + 5593607220320 T^{3} + 147048499379567098 T^{4} +$$$$15\!\cdots\!56$$$$T^{5} +$$$$33\!\cdots\!86$$$$T^{6} +$$$$29\!\cdots\!80$$$$T^{7} +$$$$65\!\cdots\!01$$$$T^{8} +$$$$26\!\cdots\!72$$$$T^{9} +$$$$63\!\cdots\!07$$$$T^{10}$$)($$( 1 - 30138 T + 836470617 T^{2} - 12815439944860 T^{3} + 191840359511159319 T^{4} -$$$$15\!\cdots\!62$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6} )^{2}$$)($$1 - 303942406 T^{2} + 125400301199290991 T^{4} -$$$$20\!\cdots\!52$$$$T^{6} +$$$$65\!\cdots\!59$$$$T^{8} -$$$$84\!\cdots\!06$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$1 - 303942406 T^{2} + 125400301199290991 T^{4} -$$$$20\!\cdots\!52$$$$T^{6} +$$$$65\!\cdots\!59$$$$T^{8} -$$$$84\!\cdots\!06$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$1 + 579920494 T^{2} + 165136673035562991 T^{4} +$$$$38\!\cdots\!48$$$$T^{6} +$$$$86\!\cdots\!59$$$$T^{8} +$$$$16\!\cdots\!94$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$1 + 579920494 T^{2} + 165136673035562991 T^{4} +$$$$38\!\cdots\!48$$$$T^{6} +$$$$86\!\cdots\!59$$$$T^{8} +$$$$16\!\cdots\!94$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$( 1 + 30138 T + 836470617 T^{2} + 12815439944860 T^{3} + 191840359511159319 T^{4} +$$$$15\!\cdots\!62$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6} )^{2}$$)($$1 - 458688990 T^{2} + 52599132235830049 T^{4}$$)($$1 - 458688990 T^{2} + 52599132235830049 T^{4}$$)($$( 1 - 229345007 T^{2} )^{2}$$)($$( 1 - 307289566 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$( 1 - 442383274 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$1 - 434902380 T^{2} + 119597691857197478 T^{4} -$$$$22\!\cdots\!20$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$1 - 434902380 T^{2} + 119597691857197478 T^{4} -$$$$22\!\cdots\!20$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$( 1 - 403777034 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$( 1 - 422513974 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$1 - 888472110 T^{2} + 408520605892907727 T^{4} -$$$$11\!\cdots\!80$$$$T^{6} +$$$$21\!\cdots\!23$$$$T^{8} -$$$$24\!\cdots\!10$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$1 - 888472110 T^{2} + 408520605892907727 T^{4} -$$$$11\!\cdots\!80$$$$T^{6} +$$$$21\!\cdots\!23$$$$T^{8} -$$$$24\!\cdots\!10$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$( 1 - 353765740 T^{2} + 66158288717340582 T^{4} -$$$$18\!\cdots\!60$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 464873580 T^{2} + 117215868278322022 T^{4} -$$$$24\!\cdots\!20$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 998947830 T^{2} + 484280818092021965 T^{4} -$$$$16\!\cdots\!80$$$$T^{6} +$$$$49\!\cdots\!50$$$$T^{8} -$$$$12\!\cdots\!80$$$$T^{10} +$$$$25\!\cdots\!50$$$$T^{12} -$$$$46\!\cdots\!80$$$$T^{14} +$$$$70\!\cdots\!85$$$$T^{16} -$$$$76\!\cdots\!30$$$$T^{18} +$$$$40\!\cdots\!49$$$$T^{20}$$)($$1 - 998947830 T^{2} + 484280818092021965 T^{4} -$$$$16\!\cdots\!80$$$$T^{6} +$$$$49\!\cdots\!50$$$$T^{8} -$$$$12\!\cdots\!80$$$$T^{10} +$$$$25\!\cdots\!50$$$$T^{12} -$$$$46\!\cdots\!80$$$$T^{14} +$$$$70\!\cdots\!85$$$$T^{16} -$$$$76\!\cdots\!30$$$$T^{18} +$$$$40\!\cdots\!49$$$$T^{20}$$)($$( 1 + 303942406 T^{2} + 125400301199290991 T^{4} +$$$$20\!\cdots\!52$$$$T^{6} +$$$$65\!\cdots\!59$$$$T^{8} +$$$$84\!\cdots\!06$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 + 27360 T + 591338206 T^{2} + 6274879391520 T^{3} + 52599132235830049 T^{4} )^{2}$$)($$( 1 - 22090 T + 1466366302 T^{2} - 25757809219190 T^{3} + 1018495271687291421 T^{4} -$$$$14\!\cdots\!80$$$$T^{5} +$$$$45\!\cdots\!92$$$$T^{6} -$$$$58\!\cdots\!40$$$$T^{7} +$$$$15\!\cdots\!82$$$$T^{8} -$$$$17\!\cdots\!40$$$$T^{9} +$$$$39\!\cdots\!12$$$$T^{10} -$$$$39\!\cdots\!80$$$$T^{11} +$$$$79\!\cdots\!18$$$$T^{12} -$$$$70\!\cdots\!20$$$$T^{13} +$$$$12\!\cdots\!92$$$$T^{14} -$$$$94\!\cdots\!60$$$$T^{15} +$$$$14\!\cdots\!29$$$$T^{16} -$$$$85\!\cdots\!70$$$$T^{17} +$$$$11\!\cdots\!02$$$$T^{18} -$$$$38\!\cdots\!30$$$$T^{19} +$$$$40\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 22090 T + 1548510076 T^{2} - 25779450599270 T^{3} + 1065218725316011845 T^{4} -$$$$14\!\cdots\!20$$$$T^{5} +$$$$45\!\cdots\!96$$$$T^{6} -$$$$51\!\cdots\!60$$$$T^{7} +$$$$14\!\cdots\!10$$$$T^{8} -$$$$14\!\cdots\!00$$$$T^{9} +$$$$36\!\cdots\!56$$$$T^{10} -$$$$32\!\cdots\!00$$$$T^{11} +$$$$76\!\cdots\!90$$$$T^{12} -$$$$62\!\cdots\!80$$$$T^{13} +$$$$12\!\cdots\!96$$$$T^{14} -$$$$90\!\cdots\!40$$$$T^{15} +$$$$15\!\cdots\!05$$$$T^{16} -$$$$86\!\cdots\!10$$$$T^{17} +$$$$11\!\cdots\!76$$$$T^{18} -$$$$38\!\cdots\!30$$$$T^{19} +$$$$40\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 22090 T + 1466366302 T^{2} + 25757809219190 T^{3} + 1018495271687291421 T^{4} +$$$$14\!\cdots\!80$$$$T^{5} +$$$$45\!\cdots\!92$$$$T^{6} +$$$$58\!\cdots\!40$$$$T^{7} +$$$$15\!\cdots\!82$$$$T^{8} +$$$$17\!\cdots\!40$$$$T^{9} +$$$$39\!\cdots\!12$$$$T^{10} +$$$$39\!\cdots\!80$$$$T^{11} +$$$$79\!\cdots\!18$$$$T^{12} +$$$$70\!\cdots\!20$$$$T^{13} +$$$$12\!\cdots\!92$$$$T^{14} +$$$$94\!\cdots\!60$$$$T^{15} +$$$$14\!\cdots\!29$$$$T^{16} +$$$$85\!\cdots\!70$$$$T^{17} +$$$$11\!\cdots\!02$$$$T^{18} +$$$$38\!\cdots\!30$$$$T^{19} +$$$$40\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 434106812 T^{2} + 111517738042984134 T^{4} -$$$$22\!\cdots\!88$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 2609052052 T^{2} + 3389384778629800866 T^{4} -$$$$29\!\cdots\!32$$$$T^{6} +$$$$18\!\cdots\!37$$$$T^{8} -$$$$96\!\cdots\!72$$$$T^{10} +$$$$41\!\cdots\!08$$$$T^{12} -$$$$14\!\cdots\!32$$$$T^{14} +$$$$47\!\cdots\!54$$$$T^{16} -$$$$13\!\cdots\!52$$$$T^{18} +$$$$31\!\cdots\!68$$$$T^{20} -$$$$68\!\cdots\!48$$$$T^{22} +$$$$13\!\cdots\!54$$$$T^{24} -$$$$21\!\cdots\!68$$$$T^{26} +$$$$31\!\cdots\!08$$$$T^{28} -$$$$38\!\cdots\!28$$$$T^{30} +$$$$39\!\cdots\!37$$$$T^{32} -$$$$32\!\cdots\!68$$$$T^{34} +$$$$19\!\cdots\!66$$$$T^{36} -$$$$80\!\cdots\!48$$$$T^{38} +$$$$16\!\cdots\!01$$$$T^{40}$$)($$1 - 2609052052 T^{2} + 3389384778629800866 T^{4} -$$$$29\!\cdots\!32$$$$T^{6} +$$$$18\!\cdots\!37$$$$T^{8} -$$$$96\!\cdots\!72$$$$T^{10} +$$$$41\!\cdots\!08$$$$T^{12} -$$$$14\!\cdots\!32$$$$T^{14} +$$$$47\!\cdots\!54$$$$T^{16} -$$$$13\!\cdots\!52$$$$T^{18} +$$$$31\!\cdots\!68$$$$T^{20} -$$$$68\!\cdots\!48$$$$T^{22} +$$$$13\!\cdots\!54$$$$T^{24} -$$$$21\!\cdots\!68$$$$T^{26} +$$$$31\!\cdots\!08$$$$T^{28} -$$$$38\!\cdots\!28$$$$T^{30} +$$$$39\!\cdots\!37$$$$T^{32} -$$$$32\!\cdots\!68$$$$T^{34} +$$$$19\!\cdots\!66$$$$T^{36} -$$$$80\!\cdots\!48$$$$T^{38} +$$$$16\!\cdots\!01$$$$T^{40}$$)
$53$ ($$1 - 22178 T + 418195493 T^{2}$$)($$1 - 40244 T + 418195493 T^{2}$$)($$1 + 40244 T + 418195493 T^{2}$$)($$1 + 7294 T + 418195493 T^{2}$$)($$1 - 22178 T + 418195493 T^{2}$$)($$( 1 + 418195493 T^{2} )^{2}$$)($$1 + 31340 T + 755347886 T^{2} + 13106246750620 T^{3} + 174887470365513049 T^{4}$$)($$( 1 - 18154 T + 418195493 T^{2} )^{2}$$)($$( 1 + 32226 T + 418195493 T^{2} )^{2}$$)($$( 1 - 15486 T + 418195493 T^{2} )^{2}$$)($$( 1 - 19714 T + 418195493 T^{2} )^{2}$$)($$1 + 31340 T + 755347886 T^{2} + 13106246750620 T^{3} + 174887470365513049 T^{4}$$)($$( 1 + 418195493 T^{2} )^{2}$$)($$1 - 21162 T + 395789499 T^{2} + 881498066468 T^{3} + 165517384658528007 T^{4} -$$$$37\!\cdots\!38$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6}$$)($$1 - 21162 T + 395789499 T^{2} + 881498066468 T^{3} + 165517384658528007 T^{4} -$$$$37\!\cdots\!38$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6}$$)($$( 1 + 4652 T + 622434862 T^{2} + 1945445433436 T^{3} + 174887470365513049 T^{4} )^{2}$$)($$( 1 - 4652 T + 622434862 T^{2} - 1945445433436 T^{3} + 174887470365513049 T^{4} )^{2}$$)($$( 1 + 8748 T + 833865262 T^{2} + 3658374172764 T^{3} + 174887470365513049 T^{4} )^{2}$$)($$1 + 30370 T + 1426147361 T^{2} + 36099838852920 T^{3} + 1068914858449282274 T^{4} +$$$$20\!\cdots\!60$$$$T^{5} +$$$$44\!\cdots\!82$$$$T^{6} +$$$$63\!\cdots\!80$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} +$$$$92\!\cdots\!70$$$$T^{9} +$$$$12\!\cdots\!93$$$$T^{10}$$)($$1 - 30370 T + 1426147361 T^{2} - 36099838852920 T^{3} + 1068914858449282274 T^{4} -$$$$20\!\cdots\!60$$$$T^{5} +$$$$44\!\cdots\!82$$$$T^{6} -$$$$63\!\cdots\!80$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} -$$$$92\!\cdots\!70$$$$T^{9} +$$$$12\!\cdots\!93$$$$T^{10}$$)($$1 - 30370 T + 1426147361 T^{2} - 36099838852920 T^{3} + 1068914858449282274 T^{4} -$$$$20\!\cdots\!60$$$$T^{5} +$$$$44\!\cdots\!82$$$$T^{6} -$$$$63\!\cdots\!80$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} -$$$$92\!\cdots\!70$$$$T^{9} +$$$$12\!\cdots\!93$$$$T^{10}$$)($$1 + 30370 T + 1426147361 T^{2} + 36099838852920 T^{3} + 1068914858449282274 T^{4} +$$$$20\!\cdots\!60$$$$T^{5} +$$$$44\!\cdots\!82$$$$T^{6} +$$$$63\!\cdots\!80$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} +$$$$92\!\cdots\!70$$$$T^{9} +$$$$12\!\cdots\!93$$$$T^{10}$$)($$1 + 1611835534 T^{2} + 1232324270520828407 T^{4} +$$$$61\!\cdots\!84$$$$T^{6} +$$$$21\!\cdots\!43$$$$T^{8} +$$$$49\!\cdots\!34$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12}$$)($$( 1 + 16962 T + 552537627 T^{2} + 18519831578796 T^{3} + 231068745324315111 T^{4} +$$$$29\!\cdots\!38$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 - 16962 T + 552537627 T^{2} - 18519831578796 T^{3} + 231068745324315111 T^{4} -$$$$29\!\cdots\!38$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 - 34348 T + 1603055247 T^{2} - 29755044522424 T^{3} + 670390479325401771 T^{4} -$$$$60\!\cdots\!52$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 + 34348 T + 1603055247 T^{2} + 29755044522424 T^{3} + 670390479325401771 T^{4} +$$$$60\!\cdots\!52$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6} )^{2}$$)($$1 + 1611835534 T^{2} + 1232324270520828407 T^{4} +$$$$61\!\cdots\!84$$$$T^{6} +$$$$21\!\cdots\!43$$$$T^{8} +$$$$49\!\cdots\!34$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12}$$)($$1 - 344527302 T^{2} + 174887470365513049 T^{4}$$)($$1 - 344527302 T^{2} + 174887470365513049 T^{4}$$)($$( 1 - 40244 T + 418195493 T^{2} )( 1 + 40244 T + 418195493 T^{2} )$$)($$( 1 - 447749190 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$( 1 - 596574790 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$1 - 528500172 T^{2} + 98825823286833494 T^{4} -$$$$92\!\cdots\!28$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8}$$)($$1 - 528500172 T^{2} + 98825823286833494 T^{4} -$$$$92\!\cdots\!28$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8}$$)($$( 1 + 202124090 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$( 1 - 506823270 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$1 - 343748754 T^{2} + 524992621000918647 T^{4} -$$$$11\!\cdots\!64$$$$T^{6} +$$$$91\!\cdots\!03$$$$T^{8} -$$$$10\!\cdots\!54$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12}$$)($$1 - 343748754 T^{2} + 524992621000918647 T^{4} -$$$$11\!\cdots\!64$$$$T^{6} +$$$$91\!\cdots\!03$$$$T^{8} -$$$$10\!\cdots\!54$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12}$$)($$( 1 - 1591203020 T^{2} + 981099301374675798 T^{4} -$$$$27\!\cdots\!80$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 1223228620 T^{2} + 719099673851296598 T^{4} -$$$$21\!\cdots\!80$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 1929957822 T^{2} + 1979021800259468069 T^{4} -$$$$14\!\cdots\!92$$$$T^{6} +$$$$78\!\cdots\!34$$$$T^{8} -$$$$35\!\cdots\!16$$$$T^{10} +$$$$13\!\cdots\!66$$$$T^{12} -$$$$43\!\cdots\!92$$$$T^{14} +$$$$10\!\cdots\!81$$$$T^{16} -$$$$18\!\cdots\!22$$$$T^{18} +$$$$16\!\cdots\!49$$$$T^{20}$$)($$1 - 1929957822 T^{2} + 1979021800259468069 T^{4} -$$$$14\!\cdots\!92$$$$T^{6} +$$$$78\!\cdots\!34$$$$T^{8} -$$$$35\!\cdots\!16$$$$T^{10} +$$$$13\!\cdots\!66$$$$T^{12} -$$$$43\!\cdots\!92$$$$T^{14} +$$$$10\!\cdots\!81$$$$T^{16} -$$$$18\!\cdots\!22$$$$T^{18} +$$$$16\!\cdots\!49$$$$T^{20}$$)($$( 1 - 817365810 T^{2} + 139168553420345847 T^{4} +$$$$41\!\cdots\!20$$$$T^{6} +$$$$24\!\cdots\!03$$$$T^{8} -$$$$24\!\cdots\!10$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 1039152180 T^{2} + 595616955270391126 T^{4} -$$$$18\!\cdots\!20$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8}$$)($$1 - 4731982692 T^{2} + 11402705067675453454 T^{4} -$$$$18\!\cdots\!28$$$$T^{6} +$$$$22\!\cdots\!65$$$$T^{8} -$$$$21\!\cdots\!12$$$$T^{10} +$$$$17\!\cdots\!92$$$$T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$70\!\cdots\!78$$$$T^{16} -$$$$35\!\cdots\!84$$$$T^{18} +$$$$15\!\cdots\!20$$$$T^{20} -$$$$62\!\cdots\!16$$$$T^{22} +$$$$21\!\cdots\!78$$$$T^{24} -$$$$63\!\cdots\!56$$$$T^{26} +$$$$16\!\cdots\!92$$$$T^{28} -$$$$35\!\cdots\!88$$$$T^{30} +$$$$64\!\cdots\!65$$$$T^{32} -$$$$92\!\cdots\!72$$$$T^{34} +$$$$99\!\cdots\!54$$$$T^{36} -$$$$72\!\cdots\!08$$$$T^{38} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$1 - 4003669356 T^{2} + 7954725909905649454 T^{4} -$$$$10\!\cdots\!60$$$$T^{6} +$$$$10\!\cdots\!77$$$$T^{8} -$$$$91\!\cdots\!76$$$$T^{10} +$$$$65\!\cdots\!16$$$$T^{12} -$$$$40\!\cdots\!80$$$$T^{14} +$$$$22\!\cdots\!54$$$$T^{16} -$$$$11\!\cdots\!56$$$$T^{18} +$$$$48\!\cdots\!96$$$$T^{20} -$$$$19\!\cdots\!44$$$$T^{22} +$$$$68\!\cdots\!54$$$$T^{24} -$$$$21\!\cdots\!20$$$$T^{26} +$$$$61\!\cdots\!16$$$$T^{28} -$$$$14\!\cdots\!24$$$$T^{30} +$$$$31\!\cdots\!77$$$$T^{32} -$$$$53\!\cdots\!40$$$$T^{34} +$$$$69\!\cdots\!54$$$$T^{36} -$$$$61\!\cdots\!44$$$$T^{38} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$1 - 4731982692 T^{2} + 11402705067675453454 T^{4} -$$$$18\!\cdots\!28$$$$T^{6} +$$$$22\!\cdots\!65$$$$T^{8} -$$$$21\!\cdots\!12$$$$T^{10} +$$$$17\!\cdots\!92$$$$T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$70\!\cdots\!78$$$$T^{16} -$$$$35\!\cdots\!84$$$$T^{18} +$$$$15\!\cdots\!20$$$$T^{20} -$$$$62\!\cdots\!16$$$$T^{22} +$$$$21\!\cdots\!78$$$$T^{24} -$$$$63\!\cdots\!56$$$$T^{26} +$$$$16\!\cdots\!92$$$$T^{28} -$$$$35\!\cdots\!88$$$$T^{30} +$$$$64\!\cdots\!65$$$$T^{32} -$$$$92\!\cdots\!72$$$$T^{34} +$$$$99\!\cdots\!54$$$$T^{36} -$$$$72\!\cdots\!08$$$$T^{38} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$( 1 + 1039152180 T^{2} + 595616955270391126 T^{4} +$$$$18\!\cdots\!20$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 464 T + 2001942326 T^{2} - 6318528773264 T^{3} + 1976408213988474085 T^{4} -$$$$10\!\cdots\!64$$$$T^{5} +$$$$13\!\cdots\!64$$$$T^{6} -$$$$80\!\cdots\!48$$$$T^{7} +$$$$78\!\cdots\!30$$$$T^{8} -$$$$43\!\cdots\!88$$$$T^{9} +$$$$36\!\cdots\!20$$$$T^{10} -$$$$18\!\cdots\!84$$$$T^{11} +$$$$13\!\cdots\!70$$$$T^{12} -$$$$58\!\cdots\!36$$$$T^{13} +$$$$42\!\cdots\!64$$$$T^{14} -$$$$12\!\cdots\!52$$$$T^{15} +$$$$10\!\cdots\!65$$$$T^{16} -$$$$14\!\cdots\!48$$$$T^{17} +$$$$18\!\cdots\!26$$$$T^{18} -$$$$18\!\cdots\!52$$$$T^{19} +$$$$16\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 464 T + 2001942326 T^{2} + 6318528773264 T^{3} + 1976408213988474085 T^{4} +$$$$10\!\cdots\!64$$$$T^{5} +$$$$13\!\cdots\!64$$$$T^{6} +$$$$80\!\cdots\!48$$$$T^{7} +$$$$78\!\cdots\!30$$$$T^{8} +$$$$43\!\cdots\!88$$$$T^{9} +$$$$36\!\cdots\!20$$$$T^{10} +$$$$18\!\cdots\!84$$$$T^{11} +$$$$13\!\cdots\!70$$$$T^{12} +$$$$58\!\cdots\!36$$$$T^{13} +$$$$42\!\cdots\!64$$$$T^{14} +$$$$12\!\cdots\!52$$$$T^{15} +$$$$10\!\cdots\!65$$$$T^{16} +$$$$14\!\cdots\!48$$$$T^{17} +$$$$18\!\cdots\!26$$$$T^{18} +$$$$18\!\cdots\!52$$$$T^{19} +$$$$16\!\cdots\!49$$$$T^{20} )^{2}$$)
$59$ ($$1 + 41480 T + 714924299 T^{2}$$)($$1 + 714924299 T^{2}$$)($$1 + 714924299 T^{2}$$)($$1 + 714924299 T^{2}$$)($$1 - 41480 T + 714924299 T^{2}$$)($$( 1 + 714924299 T^{2} )^{2}$$)($$1 - 30800 T + 1666896598 T^{2} - 22019668409200 T^{3} + 511116753300641401 T^{4}$$)($$1 + 1041470358 T^{2} + 511116753300641401 T^{4}$$)($$1 + 270997718 T^{2} + 511116753300641401 T^{4}$$)($$1 + 1376531158 T^{2} + 511116753300641401 T^{4}$$)($$1 + 1350713110 T^{2} + 511116753300641401 T^{4}$$)($$1 + 30800 T + 1666896598 T^{2} + 22019668409200 T^{3} + 511116753300641401 T^{4}$$)($$( 1 + 714924299 T^{2} )^{2}$$)($$1 - 35040 T + 1757220897 T^{2} - 50989349593920 T^{3} + 1256279917975876203 T^{4} -$$$$17\!\cdots\!40$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6}$$)($$1 + 35040 T + 1757220897 T^{2} + 50989349593920 T^{3} + 1256279917975876203 T^{4} +$$$$17\!\cdots\!40$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6}$$)($$1 + 2385664988 T^{2} + 2388942263952556022 T^{4} +$$$$12\!\cdots\!88$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8}$$)($$1 + 2385664988 T^{2} + 2388942263952556022 T^{4} +$$$$12\!\cdots\!88$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8}$$)($$1 + 488747308 T^{2} + 896846029819225302 T^{4} +$$$$24\!\cdots\!08$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8}$$)($$1 - 39280 T + 2477107495 T^{2} - 66121066498880 T^{3} + 2998757238928356010 T^{4} -$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} -$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} -$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10}$$)($$1 + 39280 T + 2477107495 T^{2} + 66121066498880 T^{3} + 2998757238928356010 T^{4} +$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} +$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} +$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10}$$)($$1 - 39280 T + 2477107495 T^{2} - 66121066498880 T^{3} + 2998757238928356010 T^{4} -$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} -$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} -$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10}$$)($$1 + 39280 T + 2477107495 T^{2} + 66121066498880 T^{3} + 2998757238928356010 T^{4} +$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} +$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} +$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10}$$)($$1 + 2333761794 T^{2} + 3044701823751957015 T^{4} +$$$$26\!\cdots\!80$$$$T^{6} +$$$$15\!\cdots\!15$$$$T^{8} +$$$$60\!\cdots\!94$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 + 1182931106 T^{2} + 405497478006370967 T^{4} -$$$$86\!\cdots\!48$$$$T^{6} +$$$$20\!\cdots\!67$$$$T^{8} +$$$$30\!\cdots\!06$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 + 1182931106 T^{2} + 405497478006370967 T^{4} -$$$$86\!\cdots\!48$$$$T^{6} +$$$$20\!\cdots\!67$$$$T^{8} +$$$$30\!\cdots\!06$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 + 55950786 T^{2} + 253972763776609047 T^{4} -$$$$45\!\cdots\!68$$$$T^{6} +$$$$12\!\cdots\!47$$$$T^{8} +$$$$14\!\cdots\!86$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 + 55950786 T^{2} + 253972763776609047 T^{4} -$$$$45\!\cdots\!68$$$$T^{6} +$$$$12\!\cdots\!47$$$$T^{8} +$$$$14\!\cdots\!86$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 + 2333761794 T^{2} + 3044701823751957015 T^{4} +$$$$26\!\cdots\!80$$$$T^{6} +$$$$15\!\cdots\!15$$$$T^{8} +$$$$60\!\cdots\!94$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$( 1 + 41480 T + 714924299 T^{2} )^{2}$$)($$( 1 - 41480 T + 714924299 T^{2} )^{2}$$)($$( 1 + 714924299 T^{2} )^{2}$$)($$( 1 + 1350713110 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 1376531158 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 - 30800 T + 1666896598 T^{2} - 22019668409200 T^{3} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 30800 T + 1666896598 T^{2} + 22019668409200 T^{3} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 270997718 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 1041470358 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 35040 T + 1757220897 T^{2} + 50989349593920 T^{3} + 1256279917975876203 T^{4} +$$$$17\!\cdots\!40$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6} )^{2}$$)($$( 1 - 35040 T + 1757220897 T^{2} - 50989349593920 T^{3} + 1256279917975876203 T^{4} -$$$$17\!\cdots\!40$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6} )^{2}$$)($$( 1 + 488747308 T^{2} + 896846029819225302 T^{4} +$$$$24\!\cdots\!08$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 2385664988 T^{2} + 2388942263952556022 T^{4} +$$$$12\!\cdots\!88$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 39280 T + 2477107495 T^{2} + 66121066498880 T^{3} + 2998757238928356010 T^{4} +$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} +$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} +$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 - 39280 T + 2477107495 T^{2} - 66121066498880 T^{3} + 2998757238928356010 T^{4} -$$$$66\!\cdots\!80$$$$T^{5} +$$$$21\!\cdots\!90$$$$T^{6} -$$$$33\!\cdots\!80$$$$T^{7} +$$$$90\!\cdots\!05$$$$T^{8} -$$$$10\!\cdots\!80$$$$T^{9} +$$$$18\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 1182931106 T^{2} + 405497478006370967 T^{4} -$$$$86\!\cdots\!48$$$$T^{6} +$$$$20\!\cdots\!67$$$$T^{8} +$$$$30\!\cdots\!06$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 1537424180 T^{2} + 1399694789142612374 T^{4} -$$$$78\!\cdots\!80$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8}$$)($$1 - 5625090496 T^{2} + 18152887348880400006 T^{4} -$$$$41\!\cdots\!56$$$$T^{6} +$$$$75\!\cdots\!85$$$$T^{8} -$$$$11\!\cdots\!56$$$$T^{10} +$$$$14\!\cdots\!88$$$$T^{12} -$$$$15\!\cdots\!88$$$$T^{14} +$$$$15\!\cdots\!18$$$$T^{16} -$$$$12\!\cdots\!12$$$$T^{18} +$$$$97\!\cdots\!20$$$$T^{20} -$$$$65\!\cdots\!12$$$$T^{22} +$$$$39\!\cdots\!18$$$$T^{24} -$$$$20\!\cdots\!88$$$$T^{26} +$$$$97\!\cdots\!88$$$$T^{28} -$$$$39\!\cdots\!56$$$$T^{30} +$$$$13\!\cdots\!85$$$$T^{32} -$$$$38\!\cdots\!56$$$$T^{34} +$$$$84\!\cdots\!06$$$$T^{36} -$$$$13\!\cdots\!96$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$1 - 9996949828 T^{2} + 49650800837889885966 T^{4} -$$$$16\!\cdots\!20$$$$T^{6} +$$$$39\!\cdots\!17$$$$T^{8} -$$$$73\!\cdots\!28$$$$T^{10} +$$$$11\!\cdots\!44$$$$T^{12} -$$$$14\!\cdots\!80$$$$T^{14} +$$$$15\!\cdots\!54$$$$T^{16} -$$$$13\!\cdots\!88$$$$T^{18} +$$$$10\!\cdots\!24$$$$T^{20} -$$$$70\!\cdots\!88$$$$T^{22} +$$$$39\!\cdots\!54$$$$T^{24} -$$$$19\!\cdots\!80$$$$T^{26} +$$$$77\!\cdots\!44$$$$T^{28} -$$$$25\!\cdots\!28$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$14\!\cdots\!20$$$$T^{34} +$$$$23\!\cdots\!66$$$$T^{36} -$$$$23\!\cdots\!28$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$1 - 5625090496 T^{2} + 18152887348880400006 T^{4} -$$$$41\!\cdots\!56$$$$T^{6} +$$$$75\!\cdots\!85$$$$T^{8} -$$$$11\!\cdots\!56$$$$T^{10} +$$$$14\!\cdots\!88$$$$T^{12} -$$$$15\!\cdots\!88$$$$T^{14} +$$$$15\!\cdots\!18$$$$T^{16} -$$$$12\!\cdots\!12$$$$T^{18} +$$$$97\!\cdots\!20$$$$T^{20} -$$$$65\!\cdots\!12$$$$T^{22} +$$$$39\!\cdots\!18$$$$T^{24} -$$$$20\!\cdots\!88$$$$T^{26} +$$$$97\!\cdots\!88$$$$T^{28} -$$$$39\!\cdots\!56$$$$T^{30} +$$$$13\!\cdots\!85$$$$T^{32} -$$$$38\!\cdots\!56$$$$T^{34} +$$$$84\!\cdots\!06$$$$T^{36} -$$$$13\!\cdots\!96$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$( 1 - 1537424180 T^{2} + 1399694789142612374 T^{4} -$$$$78\!\cdots\!80$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 9996949828 T^{2} + 49650800837889885966 T^{4} -$$$$16\!\cdots\!20$$$$T^{6} +$$$$39\!\cdots\!17$$$$T^{8} -$$$$73\!\cdots\!28$$$$T^{10} +$$$$11\!\cdots\!44$$$$T^{12} -$$$$14\!\cdots\!80$$$$T^{14} +$$$$15\!\cdots\!54$$$$T^{16} -$$$$13\!\cdots\!88$$$$T^{18} +$$$$10\!\cdots\!24$$$$T^{20} -$$$$70\!\cdots\!88$$$$T^{22} +$$$$39\!\cdots\!54$$$$T^{24} -$$$$19\!\cdots\!80$$$$T^{26} +$$$$77\!\cdots\!44$$$$T^{28} -$$$$25\!\cdots\!28$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$14\!\cdots\!20$$$$T^{34} +$$$$23\!\cdots\!66$$$$T^{36} -$$$$23\!\cdots\!28$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$1 - 9996949828 T^{2} + 49650800837889885966 T^{4} -$$$$16\!\cdots\!20$$$$T^{6} +$$$$39\!\cdots\!17$$$$T^{8} -$$$$73\!\cdots\!28$$$$T^{10} +$$$$11\!\cdots\!44$$$$T^{12} -$$$$14\!\cdots\!80$$$$T^{14} +$$$$15\!\cdots\!54$$$$T^{16} -$$$$13\!\cdots\!88$$$$T^{18} +$$$$10\!\cdots\!24$$$$T^{20} -$$$$70\!\cdots\!88$$$$T^{22} +$$$$39\!\cdots\!54$$$$T^{24} -$$$$19\!\cdots\!80$$$$T^{26} +$$$$77\!\cdots\!44$$$$T^{28} -$$$$25\!\cdots\!28$$$$T^{30} +$$$$69\!\cdots\!17$$$$T^{32} -$$$$14\!\cdots\!20$$$$T^{34} +$$$$23\!\cdots\!66$$$$T^{36} -$$$$23\!\cdots\!28$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)
$61$ ($$1 - 15462 T + 844596301 T^{2}$$)($$1 + 18950 T + 844596301 T^{2}$$)($$1 + 18950 T + 844596301 T^{2}$$)($$1 - 18950 T + 844596301 T^{2}$$)($$1 - 15462 T + 844596301 T^{2}$$)($$1 - 1041591898 T^{2} + 713342911662882601 T^{4}$$)($$1 - 24540 T + 1447225822 T^{2} - 20726393226540 T^{3} + 713342911662882601 T^{4}$$)($$( 1 + 42130 T + 844596301 T^{2} )^{2}$$)($$( 1 - 26770 T + 844596301 T^{2} )^{2}$$)($$( 1 + 16750 T + 844596301 T^{2} )^{2}$$)($$( 1 - 29318 T + 844596301 T^{2} )^{2}$$)($$1 - 24540 T + 1447225822 T^{2} - 20726393226540 T^{3} + 713342911662882601 T^{4}$$)($$1 - 1041591898 T^{2} + 713342911662882601 T^{4}$$)($$1 + 24138 T + 393086643 T^{2} - 6904061162564 T^{3} + 331999524650307543 T^{4} +$$$$17\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6}$$)($$1 + 24138 T + 393086643 T^{2} - 6904061162564 T^{3} + 331999524650307543 T^{4} +$$$$17\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6}$$)($$( 1 + 16392 T + 1727540902 T^{2} + 13844622565992 T^{3} + 713342911662882601 T^{4} )^{2}$$)($$( 1 + 16392 T + 1727540902 T^{2} + 13844622565992 T^{3} + 713342911662882601 T^{4} )^{2}$$)($$( 1 + 31012 T + 1250446302 T^{2} + 26192620486612 T^{3} + 713342911662882601 T^{4} )^{2}$$)($$1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10}$$)($$1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10}$$)($$1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10}$$)($$1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10}$$)($$( 1 + 29558 T + 2350852083 T^{2} + 48603849831556 T^{3} + 1985520973499944983 T^{4} +$$$$21\!\cdots\!58$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 12898 T + 1453238243 T^{2} - 7609599436396 T^{3} + 1227399644509539143 T^{4} -$$$$92\!\cdots\!98$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 12898 T + 1453238243 T^{2} - 7609599436396 T^{3} + 1227399644509539143 T^{4} -$$$$92\!\cdots\!98$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 16138 T + 744681843 T^{2} - 29097452426876 T^{3} + 628955530019662743 T^{4} -$$$$11\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 16138 T + 744681843 T^{2} - 29097452426876 T^{3} + 628955530019662743 T^{4} -$$$$11\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 + 29558 T + 2350852083 T^{2} + 48603849831556 T^{3} + 1985520973499944983 T^{4} +$$$$21\!\cdots\!58$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 - 15462 T + 844596301 T^{2} )^{2}$$)($$( 1 - 15462 T + 844596301 T^{2} )^{2}$$)($$( 1 - 18950 T + 844596301 T^{2} )^{2}$$)($$( 1 - 29318 T + 844596301 T^{2} )^{4}$$)($$( 1 + 16750 T + 844596301 T^{2} )^{4}$$)($$( 1 - 24540 T + 1447225822 T^{2} - 20726393226540 T^{3} + 713342911662882601 T^{4} )^{2}$$)($$( 1 - 24540 T + 1447225822 T^{2} - 20726393226540 T^{3} + 713342911662882601 T^{4} )^{2}$$)($$( 1 - 26770 T + 844596301 T^{2} )^{4}$$)($$( 1 + 42130 T + 844596301 T^{2} )^{4}$$)($$( 1 + 24138 T + 393086643 T^{2} - 6904061162564 T^{3} + 331999524650307543 T^{4} +$$$$17\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 + 24138 T + 393086643 T^{2} - 6904061162564 T^{3} + 331999524650307543 T^{4} +$$$$17\!\cdots\!38$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{2}$$)($$( 1 + 31012 T + 1250446302 T^{2} + 26192620486612 T^{3} + 713342911662882601 T^{4} )^{4}$$)($$( 1 + 16392 T + 1727540902 T^{2} + 13844622565992 T^{3} + 713342911662882601 T^{4} )^{4}$$)($$( 1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 34854 T + 2057496889 T^{2} - 44185370435336 T^{3} + 2177762976578344882 T^{4} -$$$$41\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$12\!\cdots\!89$$$$T^{8} -$$$$17\!\cdots\!54$$$$T^{9} +$$$$42\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 12898 T + 1453238243 T^{2} - 7609599436396 T^{3} + 1227399644509539143 T^{4} -$$$$92\!\cdots\!98$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{4}$$)($$1 + 741098540 T^{2} + 1478044222094100534 T^{4} +$$$$52\!\cdots\!40$$$$T^{6} +$$$$50\!\cdots\!01$$$$T^{8}$$)($$1 - 11122405536 T^{2} + 61895256141034733926 T^{4} -$$$$22\!\cdots\!56$$$$T^{6} +$$$$62\!\cdots\!65$$$$T^{8} -$$$$13\!\cdots\!36$$$$T^{10} +$$$$23\!\cdots\!28$$$$T^{12} -$$$$34\!\cdots\!68$$$$T^{14} +$$$$42\!\cdots\!78$$$$T^{16} -$$$$45\!\cdots\!92$$$$T^{18} +$$$$41\!\cdots\!80$$$$T^{20} -$$$$32\!\cdots\!92$$$$T^{22} +$$$$21\!\cdots\!78$$$$T^{24} -$$$$12\!\cdots\!68$$$$T^{26} +$$$$60\!\cdots\!28$$$$T^{28} -$$$$24\!\cdots\!36$$$$T^{30} +$$$$82\!\cdots\!65$$$$T^{32} -$$$$21\!\cdots\!56$$$$T^{34} +$$$$41\!\cdots\!26$$$$T^{36} -$$$$53\!\cdots\!36$$$$T^{38} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$1 - 7152852348 T^{2} + 26523669582205677166 T^{4} -$$$$67\!\cdots\!00$$$$T^{6} +$$$$13\!\cdots\!17$$$$T^{8} -$$$$22\!\cdots\!48$$$$T^{10} +$$$$31\!\cdots\!84$$$$T^{12} -$$$$38\!\cdots\!60$$$$T^{14} +$$$$42\!\cdots\!14$$$$T^{16} -$$$$41\!\cdots\!08$$$$T^{18} +$$$$36\!\cdots\!64$$$$T^{20} -$$$$29\!\cdots\!08$$$$T^{22} +$$$$21\!\cdots\!14$$$$T^{24} -$$$$13\!\cdots\!60$$$$T^{26} +$$$$81\!\cdots\!84$$$$T^{28} -$$$$41\!\cdots\!48$$$$T^{30} +$$$$17\!\cdots\!17$$$$T^{32} -$$$$63\!\cdots\!00$$$$T^{34} +$$$$17\!\cdots\!66$$$$T^{36} -$$$$34\!\cdots\!48$$$$T^{38} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$1 - 11122405536 T^{2} + 61895256141034733926 T^{4} -$$$$22\!\cdots\!56$$$$T^{6} +$$$$62\!\cdots\!65$$$$T^{8} -$$$$13\!\cdots\!36$$$$T^{10} +$$$$23\!\cdots\!28$$$$T^{12} -$$$$34\!\cdots\!68$$$$T^{14} +$$$$42\!\cdots\!78$$$$T^{16} -$$$$45\!\cdots\!92$$$$T^{18} +$$$$41\!\cdots\!80$$$$T^{20} -$$$$32\!\cdots\!92$$$$T^{22} +$$$$21\!\cdots\!78$$$$T^{24} -$$$$12\!\cdots\!68$$$$T^{26} +$$$$60\!\cdots\!28$$$$T^{28} -$$$$24\!\cdots\!36$$$$T^{30} +$$$$82\!\cdots\!65$$$$T^{32} -$$$$21\!\cdots\!56$$$$T^{34} +$$$$41\!\cdots\!26$$$$T^{36} -$$$$53\!\cdots\!36$$$$T^{38} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$( 1 + 741098540 T^{2} + 1478044222094100534 T^{4} +$$$$52\!\cdots\!40$$$$T^{6} +$$$$50\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 7152852348 T^{2} + 26523669582205677166 T^{4} -$$$$67\!\cdots\!00$$$$T^{6} +$$$$13\!\cdots\!17$$$$T^{8} -$$$$22\!\cdots\!48$$$$T^{10} +$$$$31\!\cdots\!84$$$$T^{12} -$$$$38\!\cdots\!60$$$$T^{14} +$$$$42\!\cdots\!14$$$$T^{16} -$$$$41\!\cdots\!08$$$$T^{18} +$$$$36\!\cdots\!64$$$$T^{20} -$$$$29\!\cdots\!08$$$$T^{22} +$$$$21\!\cdots\!14$$$$T^{24} -$$$$13\!\cdots\!60$$$$T^{26} +$$$$81\!\cdots\!84$$$$T^{28} -$$$$41\!\cdots\!48$$$$T^{30} +$$$$17\!\cdots\!17$$$$T^{32} -$$$$63\!\cdots\!00$$$$T^{34} +$$$$17\!\cdots\!66$$$$T^{36} -$$$$34\!\cdots\!48$$$$T^{38} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$1 - 7152852348 T^{2} + 26523669582205677166 T^{4} -$$$$67\!\cdots\!00$$$$T^{6} +$$$$13\!\cdots\!17$$$$T^{8} -$$$$22\!\cdots\!48$$$$T^{10} +$$$$31\!\cdots\!84$$$$T^{12} -$$$$38\!\cdots\!60$$$$T^{14} +$$$$42\!\cdots\!14$$$$T^{16} -$$$$41\!\cdots\!08$$$$T^{18} +$$$$36\!\cdots\!64$$$$T^{20} -$$$$29\!\cdots\!08$$$$T^{22} +$$$$21\!\cdots\!14$$$$T^{24} -$$$$13\!\cdots\!60$$$$T^{26} +$$$$81\!\cdots\!84$$$$T^{28} -$$$$41\!\cdots\!48$$$$T^{30} +$$$$17\!\cdots\!17$$$$T^{32} -$$$$63\!\cdots\!00$$$$T^{34} +$$$$17\!\cdots\!66$$$$T^{36} -$$$$34\!\cdots\!48$$$$T^{38} +$$$$34\!\cdots\!01$$$$T^{40}$$)
$67$ ($$1 + 20744 T + 1350125107 T^{2}$$)($$1 + 1350125107 T^{2}$$)($$1 + 1350125107 T^{2}$$)($$1 + 1350125107 T^{2}$$)($$1 - 20744 T + 1350125107 T^{2}$$)($$1 + 100434 T + 5043494178 T^{2} + 135598464996438 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 34584 T + 2930656478 T^{2} + 46692726700488 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 2438310974 T^{2} + 1822837804551761449 T^{4}$$)($$1 + 219594834 T^{2} + 1822837804551761449 T^{4}$$)($$1 + 2513562674 T^{2} + 1822837804551761449 T^{4}$$)($$1 + 2415413606 T^{2} + 1822837804551761449 T^{4}$$)($$1 - 34584 T + 2930656478 T^{2} - 46692726700488 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 100434 T + 5043494178 T^{2} - 135598464996438 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 9570 T + 659335509 T^{2} - 83080838420484 T^{3} + 890185424637524463 T^{4} -$$$$17\!\cdots\!30$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6}$$)($$1 + 9570 T + 659335509 T^{2} + 83080838420484 T^{3} + 890185424637524463 T^{4} +$$$$17\!\cdots\!30$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6}$$)($$1 - 1059995890 T^{2} + 3926502810495156767 T^{4} -$$$$19\!\cdots\!10$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 - 1059995890 T^{2} + 3926502810495156767 T^{4} -$$$$19\!\cdots\!10$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 + 3336863100 T^{2} + 6361754088145172822 T^{4} +$$$$60\!\cdots\!00$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 - 68877 T + 6972572345 T^{2} - 313819508889198 T^{3} + 18284169724860465193 T^{4} -$$$$59\!\cdots\!03$$$$T^{5} +$$$$24\!\cdots\!51$$$$T^{6} -$$$$57\!\cdots\!02$$$$T^{7} +$$$$17\!\cdots\!35$$$$T^{8} -$$$$22\!\cdots\!77$$$$T^{9} +$$$$44\!\cdots\!07$$$$T^{10}$$)($$1 - 68877 T + 6972572345 T^{2} - 313819508889198 T^{3} + 18284169724860465193 T^{4} -$$$$59\!\cdots\!03$$$$T^{5} +$$$$24\!\cdots\!51$$$$T^{6} -$$$$57\!\cdots\!02$$$$T^{7} +$$$$17\!\cdots\!35$$$$T^{8} -$$$$22\!\cdots\!77$$$$T^{9} +$$$$44\!\cdots\!07$$$$T^{10}$$)($$1 + 68877 T + 6972572345 T^{2} + 313819508889198 T^{3} + 18284169724860465193 T^{4} +$$$$59\!\cdots\!03$$$$T^{5} +$$$$24\!\cdots\!51$$$$T^{6} +$$$$57\!\cdots\!02$$$$T^{7} +$$$$17\!\cdots\!35$$$$T^{8} +$$$$22\!\cdots\!77$$$$T^{9} +$$$$44\!\cdots\!07$$$$T^{10}$$)($$1 + 68877 T + 6972572345 T^{2} + 313819508889198 T^{3} + 18284169724860465193 T^{4} +$$$$59\!\cdots\!03$$$$T^{5} +$$$$24\!\cdots\!51$$$$T^{6} +$$$$57\!\cdots\!02$$$$T^{7} +$$$$17\!\cdots\!35$$$$T^{8} +$$$$22\!\cdots\!77$$$$T^{9} +$$$$44\!\cdots\!07$$$$T^{10}$$)($$( 1 + 20350 T + 2077751629 T^{2} + 8716075465476 T^{3} + 2805224640423049303 T^{4} +$$$$37\!\cdots\!50$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6} )^{2}$$)($$1 + 2147578559 T^{2} + 5794049304914432886 T^{4} +$$$$68\!\cdots\!83$$$$T^{6} +$$$$10\!\cdots\!14$$$$T^{8} +$$$$71\!\cdots\!59$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$1 + 2147578559 T^{2} + 5794049304914432886 T^{4} +$$$$68\!\cdots\!83$$$$T^{6} +$$$$10\!\cdots\!14$$$$T^{8} +$$$$71\!\cdots\!59$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$1 + 2173336374 T^{2} + 6882868324909910631 T^{4} +$$$$82\!\cdots\!68$$$$T^{6} +$$$$12\!\cdots\!19$$$$T^{8} +$$$$72\!\cdots\!74$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$1 + 2173336374 T^{2} + 6882868324909910631 T^{4} +$$$$82\!\cdots\!68$$$$T^{6} +$$$$12\!\cdots\!19$$$$T^{8} +$$$$72\!\cdots\!74$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$( 1 - 20350 T + 2077751629 T^{2} - 8716075465476 T^{3} + 2805224640423049303 T^{4} -$$$$37\!\cdots\!50$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6} )^{2}$$)($$1 - 2269936678 T^{2} + 1822837804551761449 T^{4}$$)($$1 - 2269936678 T^{2} + 1822837804551761449 T^{4}$$)($$( 1 - 1350125107 T^{2} )^{2}$$)($$( 1 - 2415413606 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$( 1 - 2513562674 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$1 - 4665259900 T^{2} + 9004780480727533398 T^{4} -$$$$85\!\cdots\!00$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 - 4665259900 T^{2} + 9004780480727533398 T^{4} -$$$$85\!\cdots\!00$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$( 1 - 219594834 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$( 1 - 2438310974 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$1 - 1227086118 T^{2} + 624926915335274247 T^{4} +$$$$11\!\cdots\!36$$$$T^{6} +$$$$11\!\cdots\!03$$$$T^{8} -$$$$40\!\cdots\!18$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$1 - 1227086118 T^{2} + 624926915335274247 T^{4} +$$$$11\!\cdots\!36$$$$T^{6} +$$$$11\!\cdots\!03$$$$T^{8} -$$$$40\!\cdots\!18$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$( 1 - 3336863100 T^{2} + 6361754088145172822 T^{4} -$$$$60\!\cdots\!00$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 1059995890 T^{2} + 3926502810495156767 T^{4} +$$$$19\!\cdots\!10$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 9201103561 T^{2} + 41955211928457148119 T^{4} -$$$$12\!\cdots\!06$$$$T^{6} +$$$$25\!\cdots\!13$$$$T^{8} -$$$$40\!\cdots\!91$$$$T^{10} +$$$$47\!\cdots\!37$$$$T^{12} -$$$$41\!\cdots\!06$$$$T^{14} +$$$$25\!\cdots\!31$$$$T^{16} -$$$$10\!\cdots\!61$$$$T^{18} +$$$$20\!\cdots\!49$$$$T^{20}$$)($$1 - 9201103561 T^{2} + 41955211928457148119 T^{4} -$$$$12\!\cdots\!06$$$$T^{6} +$$$$25\!\cdots\!13$$$$T^{8} -$$$$40\!\cdots\!91$$$$T^{10} +$$$$47\!\cdots\!37$$$$T^{12} -$$$$41\!\cdots\!06$$$$T^{14} +$$$$25\!\cdots\!31$$$$T^{16} -$$$$10\!\cdots\!61$$$$T^{18} +$$$$20\!\cdots\!49$$$$T^{20}$$)($$( 1 - 2147578559 T^{2} + 5794049304914432886 T^{4} -$$$$68\!\cdots\!83$$$$T^{6} +$$$$10\!\cdots\!14$$$$T^{8} -$$$$71\!\cdots\!59$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 1366835860 T^{2} + 3274116308996825526 T^{4} -$$$$24\!\cdots\!40$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 - 9509180948 T^{2} + 49653986261222193649 T^{4} -$$$$18\!\cdots\!12$$$$T^{6} +$$$$54\!\cdots\!75$$$$T^{8} -$$$$13\!\cdots\!28$$$$T^{10} +$$$$28\!\cdots\!62$$$$T^{12} -$$$$53\!\cdots\!76$$$$T^{14} +$$$$90\!\cdots\!13$$$$T^{16} -$$$$13\!\cdots\!16$$$$T^{18} +$$$$19\!\cdots\!75$$$$T^{20} -$$$$25\!\cdots\!84$$$$T^{22} +$$$$29\!\cdots\!13$$$$T^{24} -$$$$32\!\cdots\!24$$$$T^{26} +$$$$31\!\cdots\!62$$$$T^{28} -$$$$26\!\cdots\!72$$$$T^{30} +$$$$19\!\cdots\!75$$$$T^{32} -$$$$12\!\cdots\!88$$$$T^{34} +$$$$60\!\cdots\!49$$$$T^{36} -$$$$21\!\cdots\!52$$$$T^{38} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$1 - 11828518964 T^{2} + 68669252417166303634 T^{4} -$$$$26\!\cdots\!60$$$$T^{6} +$$$$76\!\cdots\!57$$$$T^{8} -$$$$18\!\cdots\!04$$$$T^{10} +$$$$38\!\cdots\!16$$$$T^{12} -$$$$70\!\cdots\!40$$$$T^{14} +$$$$11\!\cdots\!54$$$$T^{16} -$$$$18\!\cdots\!64$$$$T^{18} +$$$$25\!\cdots\!76$$$$T^{20} -$$$$33\!\cdots\!36$$$$T^{22} +$$$$39\!\cdots\!54$$$$T^{24} -$$$$42\!\cdots\!60$$$$T^{26} +$$$$42\!\cdots\!16$$$$T^{28} -$$$$36\!\cdots\!96$$$$T^{30} +$$$$28\!\cdots\!57$$$$T^{32} -$$$$17\!\cdots\!40$$$$T^{34} +$$$$83\!\cdots\!34$$$$T^{36} -$$$$26\!\cdots\!36$$$$T^{38} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$1 - 9509180948 T^{2} + 49653986261222193649 T^{4} -$$$$18\!\cdots\!12$$$$T^{6} +$$$$54\!\cdots\!75$$$$T^{8} -$$$$13\!\cdots\!28$$$$T^{10} +$$$$28\!\cdots\!62$$$$T^{12} -$$$$53\!\cdots\!76$$$$T^{14} +$$$$90\!\cdots\!13$$$$T^{16} -$$$$13\!\cdots\!16$$$$T^{18} +$$$$19\!\cdots\!75$$$$T^{20} -$$$$25\!\cdots\!84$$$$T^{22} +$$$$29\!\cdots\!13$$$$T^{24} -$$$$32\!\cdots\!24$$$$T^{26} +$$$$31\!\cdots\!62$$$$T^{28} -$$$$26\!\cdots\!72$$$$T^{30} +$$$$19\!\cdots\!75$$$$T^{32} -$$$$12\!\cdots\!88$$$$T^{34} +$$$$60\!\cdots\!49$$$$T^{36} -$$$$21\!\cdots\!52$$$$T^{38} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$( 1 + 1366835860 T^{2} + 3274116308996825526 T^{4} +$$$$24\!\cdots\!40$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 80802 T + 9178741084 T^{2} - 574683247252438 T^{3} + 38645538009519899565 T^{4} -$$$$20\!\cdots\!32$$$$T^{5} +$$$$10\!\cdots\!56$$$$T^{6} -$$$$46\!\cdots\!76$$$$T^{7} +$$$$20\!\cdots\!30$$$$T^{8} -$$$$79\!\cdots\!64$$$$T^{9} +$$$$31\!\cdots\!20$$$$T^{10} -$$$$10\!\cdots\!48$$$$T^{11} +$$$$37\!\cdots\!70$$$$T^{12} -$$$$11\!\cdots\!68$$$$T^{13} +$$$$34\!\cdots\!56$$$$T^{14} -$$$$89\!\cdots\!24$$$$T^{15} +$$$$23\!\cdots\!85$$$$T^{16} -$$$$46\!\cdots\!34$$$$T^{17} +$$$$10\!\cdots\!84$$$$T^{18} -$$$$12\!\cdots\!14$$$$T^{19} +$$$$20\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 80802 T + 9178741084 T^{2} + 574683247252438 T^{3} + 38645538009519899565 T^{4} +$$$$20\!\cdots\!32$$$$T^{5} +$$$$10\!\cdots\!56$$$$T^{6} +$$$$46\!\cdots\!76$$$$T^{7} +$$$$20\!\cdots\!30$$$$T^{8} +$$$$79\!\cdots\!64$$$$T^{9} +$$$$31\!\cdots\!20$$$$T^{10} +$$$$10\!\cdots\!48$$$$T^{11} +$$$$37\!\cdots\!70$$$$T^{12} +$$$$11\!\cdots\!68$$$$T^{13} +$$$$34\!\cdots\!56$$$$T^{14} +$$$$89\!\cdots\!24$$$$T^{15} +$$$$23\!\cdots\!85$$$$T^{16} +$$$$46\!\cdots\!34$$$$T^{17} +$$$$10\!\cdots\!84$$$$T^{18} +$$$$12\!\cdots\!14$$$$T^{19} +$$$$20\!\cdots\!49$$$$T^{20} )^{2}$$)
$71$ ($$1 + 28592 T + 1804229351 T^{2}$$)($$1 + 1804229351 T^{2}$$)($$1 + 1804229351 T^{2}$$)($$1 + 1804229351 T^{2}$$)($$1 - 28592 T + 1804229351 T^{2}$$)($$( 1 + 1804229351 T^{2} )^{2}$$)($$1 + 12400 T + 1143670702 T^{2} + 22372443952400 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 1542914862 T^{2} + 3255243551009881201 T^{4}$$)($$1 + 681226622 T^{2} + 3255243551009881201 T^{4}$$)($$1 + 1737195262 T^{2} + 3255243551009881201 T^{4}$$)($$1 - 2948789810 T^{2} + 3255243551009881201 T^{4}$$)($$1 - 12400 T + 1143670702 T^{2} - 22372443952400 T^{3} + 3255243551009881201 T^{4}$$)($$( 1 + 1804229351 T^{2} )^{2}$$)($$1 - 88092 T + 7289446053 T^{2} - 329541325840584 T^{3} + 13151832521353701603 T^{4} -$$$$28\!\cdots\!92$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6}$$)($$1 + 88092 T + 7289446053 T^{2} + 329541325840584 T^{3} + 13151832521353701603 T^{4} +$$$$28\!\cdots\!92$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6}$$)($$1 + 2309254412 T^{2} + 2458167894389978822 T^{4} +$$$$75\!\cdots\!12$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8}$$)($$1 + 2309254412 T^{2} + 2458167894389978822 T^{4} +$$$$75\!\cdots\!12$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8}$$)($$1 + 6374750812 T^{2} + 16622748841310481702 T^{4} +$$$$20\!\cdots\!12$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8}$$)($$1 + 51200 T + 4847837491 T^{2} + 294113026009600 T^{3} + 15407476450683661018 T^{4} +$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} +$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} +$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 - 51200 T + 4847837491 T^{2} - 294113026009600 T^{3} + 15407476450683661018 T^{4} -$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} -$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} -$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 + 51200 T + 4847837491 T^{2} + 294113026009600 T^{3} + 15407476450683661018 T^{4} +$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} +$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} +$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 - 51200 T + 4847837491 T^{2} - 294113026009600 T^{3} + 15407476450683661018 T^{4} -$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} -$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} -$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10}$$)($$1 + 9793576042 T^{2} + 41626938509482688159 T^{4} +$$$$98\!\cdots\!36$$$$T^{6} +$$$$13\!\cdots\!59$$$$T^{8} +$$$$10\!\cdots\!42$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$1 + 5042886794 T^{2} + 14326830934494036767 T^{4} +$$$$28\!\cdots\!48$$$$T^{6} +$$$$46\!\cdots\!67$$$$T^{8} +$$$$53\!\cdots\!94$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$1 + 5042886794 T^{2} + 14326830934494036767 T^{4} +$$$$28\!\cdots\!48$$$$T^{6} +$$$$46\!\cdots\!67$$$$T^{8} +$$$$53\!\cdots\!94$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$1 + 942628714 T^{2} + 4622069102042239647 T^{4} +$$$$48\!\cdots\!68$$$$T^{6} +$$$$15\!\cdots\!47$$$$T^{8} +$$$$99\!\cdots\!14$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$1 + 942628714 T^{2} + 4622069102042239647 T^{4} +$$$$48\!\cdots\!68$$$$T^{6} +$$$$15\!\cdots\!47$$$$T^{8} +$$$$99\!\cdots\!14$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$1 + 9793576042 T^{2} + 41626938509482688159 T^{4} +$$$$98\!\cdots\!36$$$$T^{6} +$$$$13\!\cdots\!59$$$$T^{8} +$$$$10\!\cdots\!42$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12}$$)($$( 1 - 28592 T + 1804229351 T^{2} )^{2}$$)($$( 1 + 28592 T + 1804229351 T^{2} )^{2}$$)($$( 1 + 1804229351 T^{2} )^{2}$$)($$( 1 - 2948789810 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 1737195262 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 - 12400 T + 1143670702 T^{2} - 22372443952400 T^{3} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 12400 T + 1143670702 T^{2} + 22372443952400 T^{3} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 681226622 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 1542914862 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 - 88092 T + 7289446053 T^{2} - 329541325840584 T^{3} + 13151832521353701603 T^{4} -$$$$28\!\cdots\!92$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6} )^{2}$$)($$( 1 + 88092 T + 7289446053 T^{2} + 329541325840584 T^{3} + 13151832521353701603 T^{4} +$$$$28\!\cdots\!92$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6} )^{2}$$)($$( 1 + 6374750812 T^{2} + 16622748841310481702 T^{4} +$$$$20\!\cdots\!12$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 2309254412 T^{2} + 2458167894389978822 T^{4} +$$$$75\!\cdots\!12$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 51200 T + 4847837491 T^{2} + 294113026009600 T^{3} + 15407476450683661018 T^{4} +$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} +$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} +$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 51200 T + 4847837491 T^{2} - 294113026009600 T^{3} + 15407476450683661018 T^{4} -$$$$67\!\cdots\!00$$$$T^{5} +$$$$27\!\cdots\!18$$$$T^{6} -$$$$95\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!41$$$$T^{8} -$$$$54\!\cdots\!00$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 5042886794 T^{2} + 14326830934494036767 T^{4} +$$$$28\!\cdots\!48$$$$T^{6} +$$$$46\!\cdots\!67$$$$T^{8} +$$$$53\!\cdots\!94$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 + 103344 T + 6217736974 T^{2} + 186456278049744 T^{3} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 - 3862 T + 10423271438 T^{2} - 50246437607418 T^{3} + 57302010001438902061 T^{4} -$$$$31\!\cdots\!00$$$$T^{5} +$$$$21\!\cdots\!84$$$$T^{6} -$$$$11\!\cdots\!72$$$$T^{7} +$$$$57\!\cdots\!82$$$$T^{8} -$$$$29\!\cdots\!48$$$$T^{9} +$$$$11\!\cdots\!68$$$$T^{10} -$$$$52\!\cdots\!48$$$$T^{11} +$$$$18\!\cdots\!82$$$$T^{12} -$$$$67\!\cdots\!72$$$$T^{13} +$$$$22\!\cdots\!84$$$$T^{14} -$$$$59\!\cdots\!00$$$$T^{15} +$$$$19\!\cdots\!61$$$$T^{16} -$$$$31\!\cdots\!18$$$$T^{17} +$$$$11\!\cdots\!38$$$$T^{18} -$$$$78\!\cdots\!62$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 100156 T + 13448448446 T^{2} - 957445823975748 T^{3} + 76873855601451932317 T^{4} -$$$$43\!\cdots\!20$$$$T^{5} +$$$$26\!\cdots\!28$$$$T^{6} -$$$$12\!\cdots\!92$$$$T^{7} +$$$$67\!\cdots\!74$$$$T^{8} -$$$$28\!\cdots\!84$$$$T^{9} +$$$$13\!\cdots\!68$$$$T^{10} -$$$$51\!\cdots\!84$$$$T^{11} +$$$$21\!\cdots\!74$$$$T^{12} -$$$$74\!\cdots\!92$$$$T^{13} +$$$$28\!\cdots\!28$$$$T^{14} -$$$$82\!\cdots\!20$$$$T^{15} +$$$$26\!\cdots\!17$$$$T^{16} -$$$$59\!\cdots\!48$$$$T^{17} +$$$$15\!\cdots\!46$$$$T^{18} -$$$$20\!\cdots\!56$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 3862 T + 10423271438 T^{2} - 50246437607418 T^{3} + 57302010001438902061 T^{4} -$$$$31\!\cdots\!00$$$$T^{5} +$$$$21\!\cdots\!84$$$$T^{6} -$$$$11\!\cdots\!72$$$$T^{7} +$$$$57\!\cdots\!82$$$$T^{8} -$$$$29\!\cdots\!48$$$$T^{9} +$$$$11\!\cdots\!68$$$$T^{10} -$$$$52\!\cdots\!48$$$$T^{11} +$$$$18\!\cdots\!82$$$$T^{12} -$$$$67\!\cdots\!72$$$$T^{13} +$$$$22\!\cdots\!84$$$$T^{14} -$$$$59\!\cdots\!00$$$$T^{15} +$$$$19\!\cdots\!61$$$$T^{16} -$$$$31\!\cdots\!18$$$$T^{17} +$$$$11\!\cdots\!38$$$$T^{18} -$$$$78\!\cdots\!62$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 103344 T + 6217736974 T^{2} + 186456278049744 T^{3} + 3255243551009881201 T^{4} )^{4}$$)($$( 1 - 100156 T + 13448448446 T^{2} - 957445823975748 T^{3} + 76873855601451932317 T^{4} -$$$$43\!\cdots\!20$$$$T^{5} +$$$$26\!\cdots\!28$$$$T^{6} -$$$$12\!\cdots\!92$$$$T^{7} +$$$$67\!\cdots\!74$$$$T^{8} -$$$$28\!\cdots\!84$$$$T^{9} +$$$$13\!\cdots\!68$$$$T^{10} -$$$$51\!\cdots\!84$$$$T^{11} +$$$$21\!\cdots\!74$$$$T^{12} -$$$$74\!\cdots\!92$$$$T^{13} +$$$$28\!\cdots\!28$$$$T^{14} -$$$$82\!\cdots\!20$$$$T^{15} +$$$$26\!\cdots\!17$$$$T^{16} -$$$$59\!\cdots\!48$$$$T^{17} +$$$$15\!\cdots\!46$$$$T^{18} -$$$$20\!\cdots\!56$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 100156 T + 13448448446 T^{2} - 957445823975748 T^{3} + 76873855601451932317 T^{4} -$$$$43\!\cdots\!20$$$$T^{5} +$$$$26\!\cdots\!28$$$$T^{6} -$$$$12\!\cdots\!92$$$$T^{7} +$$$$67\!\cdots\!74$$$$T^{8} -$$$$28\!\cdots\!84$$$$T^{9} +$$$$13\!\cdots\!68$$$$T^{10} -$$$$51\!\cdots\!84$$$$T^{11} +$$$$21\!\cdots\!74$$$$T^{12} -$$$$74\!\cdots\!92$$$$T^{13} +$$$$28\!\cdots\!28$$$$T^{14} -$$$$82\!\cdots\!20$$$$T^{15} +$$$$26\!\cdots\!17$$$$T^{16} -$$$$59\!\cdots\!48$$$$T^{17} +$$$$15\!\cdots\!46$$$$T^{18} -$$$$20\!\cdots\!56$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)
$73$ ($$1 - 53670 T + 2073071593 T^{2}$$)($$1 - 20144 T + 2073071593 T^{2}$$)($$1 + 20144 T + 2073071593 T^{2}$$)($$1 - 88806 T + 2073071593 T^{2}$$)($$1 - 53670 T + 2073071593 T^{2}$$)($$( 1 + 2073071593 T^{2} )^{2}$$)($$1 - 7180 T + 284279286 T^{2} - 14884654037740 T^{3} + 4297625829703557649 T^{4}$$)($$( 1 + 26266 T + 2073071593 T^{2} )^{2}$$)($$( 1 - 18534 T + 2073071593 T^{2} )^{2}$$)($$( 1 - 20806 T + 2073071593 T^{2} )^{2}$$)($$( 1 + 37914 T + 2073071593 T^{2} )^{2}$$)($$1 - 7180 T + 284279286 T^{2} - 14884654037740 T^{3} + 4297625829703557649 T^{4}$$)($$( 1 + 2073071593 T^{2} )^{2}$$)($$1 + 66750 T + 3875077479 T^{2} + 111360074258500 T^{3} + 8033313042388954047 T^{4} +$$$$28\!\cdots\!50$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6}$$)($$1 + 66750 T + 3875077479 T^{2} + 111360074258500 T^{3} + 8033313042388954047 T^{4} +$$$$28\!\cdots\!50$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6}$$)($$( 1 - 45470 T + 3165813455 T^{2} - 94262565333710 T^{3} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 + 45470 T + 3165813455 T^{2} + 94262565333710 T^{3} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 + 59700 T + 5029368950 T^{2} + 123762374102100 T^{3} + 4297625829703557649 T^{4} )^{2}$$)($$1 - 41615 T + 4209954615 T^{2} - 79332024193530 T^{3} + 11253248242601599965 T^{4} -$$$$25\!\cdots\!85$$$$T^{5} +$$$$23\!\cdots\!45$$$$T^{6} -$$$$34\!\cdots\!70$$$$T^{7} +$$$$37\!\cdots\!55$$$$T^{8} -$$$$76\!\cdots\!15$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10}$$)($$1 + 41615 T + 4209954615 T^{2} + 79332024193530 T^{3} + 11253248242601599965 T^{4} +$$$$25\!\cdots\!85$$$$T^{5} +$$$$23\!\cdots\!45$$$$T^{6} +$$$$34\!\cdots\!70$$$$T^{7} +$$$$37\!\cdots\!55$$$$T^{8} +$$$$76\!\cdots\!15$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10}$$)($$1 + 41615 T + 4209954615 T^{2} + 79332024193530 T^{3} + 11253248242601599965 T^{4} +$$$$25\!\cdots\!85$$$$T^{5} +$$$$23\!\cdots\!45$$$$T^{6} +$$$$34\!\cdots\!70$$$$T^{7} +$$$$37\!\cdots\!55$$$$T^{8} +$$$$76\!\cdots\!15$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10}$$)($$1 - 41615 T + 4209954615 T^{2} - 79332024193530 T^{3} + 11253248242601599965 T^{4} -$$$$25\!\cdots\!85$$$$T^{5} +$$$$23\!\cdots\!45$$$$T^{6} -$$$$34\!\cdots\!70$$$$T^{7} +$$$$37\!\cdots\!55$$$$T^{8} -$$$$76\!\cdots\!15$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10}$$)($$1 + 5477783158 T^{2} + 15527894807038343935 T^{4} +$$$$34\!\cdots\!40$$$$T^{6} +$$$$66\!\cdots\!15$$$$T^{8} +$$$$10\!\cdots\!58$$$$T^{10} +$$$$79\!\cdots\!49$$$$T^{12}$$)($$( 1 + 29609 T + 5695251558 T^{2} + 111631821367885 T^{3} + 11806664219878791894 T^{4} +$$$$12\!\cdots\!41$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 - 29609 T + 5695251558 T^{2} - 111631821367885 T^{3} + 11806664219878791894 T^{4} -$$$$12\!\cdots\!41$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 - 3776 T + 2375465403 T^{2} + 61960489293440 T^{3} + 4924509847113596979 T^{4} -$$$$16\!\cdots\!24$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 + 3776 T + 2375465403 T^{2} - 61960489293440 T^{3} + 4924509847113596979 T^{4} +$$$$16\!\cdots\!24$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{2}$$)($$1 + 5477783158 T^{2} + 15527894807038343935 T^{4} +$$$$34\!\cdots\!40$$$$T^{6} +$$$$66\!\cdots\!15$$$$T^{8} +$$$$10\!\cdots\!58$$$$T^{10} +$$$$79\!\cdots\!49$$$$T^{12}$$)($$1 - 1265674286 T^{2} + 4297625829703557649 T^{4}$$)($$1 - 1265674286 T^{2} + 4297625829703557649 T^{4}$$)($$( 1 - 20144 T + 2073071593 T^{2} )( 1 + 20144 T + 2073071593 T^{2} )$$)($$( 1 - 2708671790 T^{2} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 - 3713253550 T^{2} + 4297625829703557649 T^{4} )^{2}$$)($$1 - 517006172 T^{2} + 8462322739873838694 T^{4} -$$$$22\!\cdots\!28$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8}$$)($$1 - 517006172 T^{2} + 8462322739873838694 T^{4} -$$$$22\!\cdots\!28$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8}$$)($$( 1 - 3802634030 T^{2} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 - 3456240430 T^{2} + 4297625829703557649 T^{4} )^{2}$$)($$1 - 3294592458 T^{2} + 16216281639521153535 T^{4} -$$$$29\!\cdots\!40$$$$T^{6} +$$$$69\!\cdots\!15$$$$T^{8} -$$$$60\!\cdots\!58$$$$T^{10} +$$$$79\!\cdots\!49$$$$T^{12}$$)($$1 - 3294592458 T^{2} + 16216281639521153535 T^{4} -$$$$29\!\cdots\!40$$$$T^{6} +$$$$69\!\cdots\!15$$$$T^{8} -$$$$60\!\cdots\!58$$$$T^{10} +$$$$79\!\cdots\!49$$$$T^{12}$$)($$( 1 - 6494647900 T^{2} + 19112576226840477798 T^{4} -$$$$27\!\cdots\!00$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 4264106010 T^{2} + 10045388799818564923 T^{4} -$$$$18\!\cdots\!90$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 6688101005 T^{2} + 33627409971935496255 T^{4} -$$$$11\!\cdots\!90$$$$T^{6} +$$$$32\!\cdots\!85$$$$T^{8} -$$$$73\!\cdots\!11$$$$T^{10} +$$$$14\!\cdots\!65$$$$T^{12} -$$$$20\!\cdots\!90$$$$T^{14} +$$$$26\!\cdots\!95$$$$T^{16} -$$$$22\!\cdots\!05$$$$T^{18} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$1 - 6688101005 T^{2} + 33627409971935496255 T^{4} -$$$$11\!\cdots\!90$$$$T^{6} +$$$$32\!\cdots\!85$$$$T^{8} -$$$$73\!\cdots\!11$$$$T^{10} +$$$$14\!\cdots\!65$$$$T^{12} -$$$$20\!\cdots\!90$$$$T^{14} +$$$$26\!\cdots\!95$$$$T^{16} -$$$$22\!\cdots\!05$$$$T^{18} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$( 1 - 10513810235 T^{2} + 49438605550895597222 T^{4} -$$$$13\!\cdots\!55$$$$T^{6} +$$$$21\!\cdots\!78$$$$T^{8} -$$$$19\!\cdots\!35$$$$T^{10} +$$$$79\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 + 19988 T + 2541602870 T^{2} + 41436555000884 T^{3} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 - 52568 T + 11742219421 T^{2} - 368250894769528 T^{3} + 57743001118408717247 T^{4} -$$$$97\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} -$$$$16\!\cdots\!20$$$$T^{7} +$$$$50\!\cdots\!45$$$$T^{8} -$$$$34\!\cdots\!32$$$$T^{9} +$$$$11\!\cdots\!19$$$$T^{10} -$$$$72\!\cdots\!76$$$$T^{11} +$$$$21\!\cdots\!05$$$$T^{12} -$$$$14\!\cdots\!40$$$$T^{13} +$$$$34\!\cdots\!82$$$$T^{14} -$$$$37\!\cdots\!52$$$$T^{15} +$$$$45\!\cdots\!03$$$$T^{16} -$$$$60\!\cdots\!96$$$$T^{17} +$$$$40\!\cdots\!21$$$$T^{18} -$$$$37\!\cdots\!24$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 52568 T + 9379342894 T^{2} - 374528688123736 T^{3} + 37721970904921608509 T^{4} -$$$$11\!\cdots\!56$$$$T^{5} +$$$$82\!\cdots\!04$$$$T^{6} -$$$$19\!\cdots\!04$$$$T^{7} +$$$$11\!\cdots\!58$$$$T^{8} -$$$$24\!\cdots\!96$$$$T^{9} +$$$$16\!\cdots\!04$$$$T^{10} -$$$$51\!\cdots\!28$$$$T^{11} +$$$$49\!\cdots\!42$$$$T^{12} -$$$$17\!\cdots\!28$$$$T^{13} +$$$$15\!\cdots\!04$$$$T^{14} -$$$$44\!\cdots\!08$$$$T^{15} +$$$$29\!\cdots\!41$$$$T^{16} -$$$$61\!\cdots\!52$$$$T^{17} +$$$$31\!\cdots\!94$$$$T^{18} -$$$$37\!\cdots\!24$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 52568 T + 11742219421 T^{2} + 368250894769528 T^{3} + 57743001118408717247 T^{4} +$$$$97\!\cdots\!64$$$$T^{5} +$$$$18\!\cdots\!82$$$$T^{6} +$$$$16\!\cdots\!20$$$$T^{7} +$$$$50\!\cdots\!45$$$$T^{8} +$$$$34\!\cdots\!32$$$$T^{9} +$$$$11\!\cdots\!19$$$$T^{10} +$$$$72\!\cdots\!76$$$$T^{11} +$$$$21\!\cdots\!05$$$$T^{12} +$$$$14\!\cdots\!40$$$$T^{13} +$$$$34\!\cdots\!82$$$$T^{14} +$$$$37\!\cdots\!52$$$$T^{15} +$$$$45\!\cdots\!03$$$$T^{16} +$$$$60\!\cdots\!96$$$$T^{17} +$$$$40\!\cdots\!21$$$$T^{18} +$$$$37\!\cdots\!24$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 4683685596 T^{2} + 13398529085484013414 T^{4} -$$$$20\!\cdots\!04$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 15995291164 T^{2} +$$$$12\!\cdots\!58$$$$T^{4} -$$$$61\!\cdots\!88$$$$T^{6} +$$$$21\!\cdots\!73$$$$T^{8} -$$$$56\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!28$$$$T^{12} -$$$$28\!\cdots\!48$$$$T^{14} +$$$$73\!\cdots\!78$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{18} +$$$$43\!\cdots\!24$$$$T^{20} -$$$$82\!\cdots\!56$$$$T^{22} +$$$$13\!\cdots\!78$$$$T^{24} -$$$$22\!\cdots\!52$$$$T^{26} +$$$$43\!\cdots\!28$$$$T^{28} -$$$$83\!\cdots\!96$$$$T^{30} +$$$$13\!\cdots\!73$$$$T^{32} -$$$$16\!\cdots\!12$$$$T^{34} +$$$$14\!\cdots\!58$$$$T^{36} -$$$$79\!\cdots\!36$$$$T^{38} +$$$$21\!\cdots\!01$$$$T^{40}$$)($$1 - 15995291164 T^{2} +$$$$12\!\cdots\!58$$$$T^{4} -$$$$61\!\cdots\!88$$$$T^{6} +$$$$21\!\cdots\!73$$$$T^{8} -$$$$56\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!28$$$$T^{12} -$$$$28\!\cdots\!48$$$$T^{14} +$$$$73\!\cdots\!78$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{18} +$$$$43\!\cdots\!24$$$$T^{20} -$$$$82\!\cdots\!56$$$$T^{22} +$$$$13\!\cdots\!78$$$$T^{24} -$$$$22\!\cdots\!52$$$$T^{26} +$$$$43\!\cdots\!28$$$$T^{28} -$$$$83\!\cdots\!96$$$$T^{30} +$$$$13\!\cdots\!73$$$$T^{32} -$$$$16\!\cdots\!12$$$$T^{34} +$$$$14\!\cdots\!58$$$$T^{36} -$$$$79\!\cdots\!36$$$$T^{38} +$$$$21\!\cdots\!01$$$$T^{40}$$)
$79$ ($$1 - 69152 T + 3077056399 T^{2}$$)($$1 + 3077056399 T^{2}$$)($$1 + 3077056399 T^{2}$$)($$1 + 3077056399 T^{2}$$)($$1 + 69152 T + 3077056399 T^{2}$$)($$( 1 + 3077056399 T^{2} )^{2}$$)($$1 - 71840 T + 7430807198 T^{2} - 221055731704160 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 6078817438 T^{2} + 9468276082626847201 T^{4}$$)($$1 - 1369983522 T^{2} + 9468276082626847201 T^{4}$$)($$1 + 1275471838 T^{2} + 9468276082626847201 T^{4}$$)($$1 - 1729880290 T^{2} + 9468276082626847201 T^{4}$$)($$1 + 71840 T + 7430807198 T^{2} + 221055731704160 T^{3} + 9468276082626847201 T^{4}$$)($$( 1 + 3077056399 T^{2} )^{2}$$)($$1 + 92952 T + 11164448877 T^{2} + 573846024396496 T^{3} + 34353638858281213923 T^{4} +$$$$88\!\cdots\!52$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6}$$)($$1 - 92952 T + 11164448877 T^{2} - 573846024396496 T^{3} + 34353638858281213923 T^{4} -$$$$88\!\cdots\!52$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6}$$)($$1 + 776704228 T^{2} + 16002995794169193542 T^{4} +$$$$73\!\cdots\!28$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8}$$)($$1 + 776704228 T^{2} + 16002995794169193542 T^{4} +$$$$73\!\cdots\!28$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8}$$)($$1 + 10884258108 T^{2} + 48452581383610561862 T^{4} +$$$$10\!\cdots\!08$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8}$$)($$1 - 550 T + 7503320051 T^{2} - 274548109457880 T^{3} + 19206677484654564642 T^{4} -$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} -$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} -$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10}$$)($$1 + 550 T + 7503320051 T^{2} + 274548109457880 T^{3} + 19206677484654564642 T^{4} +$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} +$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} +$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10}$$)($$1 - 550 T + 7503320051 T^{2} - 274548109457880 T^{3} + 19206677484654564642 T^{4} -$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} -$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} -$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10}$$)($$1 + 550 T + 7503320051 T^{2} + 274548109457880 T^{3} + 19206677484654564642 T^{4} +$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} +$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} +$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10}$$)($$1 + 8854539610 T^{2} + 48426464203018517551 T^{4} +$$$$17\!\cdots\!76$$$$T^{6} +$$$$45\!\cdots\!51$$$$T^{8} +$$$$79\!\cdots\!10$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 + 9344137006 T^{2} + 37793088345036567567 T^{4} +$$$$11\!\cdots\!52$$$$T^{6} +$$$$35\!\cdots\!67$$$$T^{8} +$$$$83\!\cdots\!06$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 + 9344137006 T^{2} + 37793088345036567567 T^{4} +$$$$11\!\cdots\!52$$$$T^{6} +$$$$35\!\cdots\!67$$$$T^{8} +$$$$83\!\cdots\!06$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 + 454164826 T^{2} + 18487132928554429487 T^{4} -$$$$50\!\cdots\!28$$$$T^{6} +$$$$17\!\cdots\!87$$$$T^{8} +$$$$40\!\cdots\!26$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 + 454164826 T^{2} + 18487132928554429487 T^{4} -$$$$50\!\cdots\!28$$$$T^{6} +$$$$17\!\cdots\!87$$$$T^{8} +$$$$40\!\cdots\!26$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 + 8854539610 T^{2} + 48426464203018517551 T^{4} +$$$$17\!\cdots\!76$$$$T^{6} +$$$$45\!\cdots\!51$$$$T^{8} +$$$$79\!\cdots\!10$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$( 1 - 69152 T + 3077056399 T^{2} )^{2}$$)($$( 1 + 69152 T + 3077056399 T^{2} )^{2}$$)($$( 1 + 3077056399 T^{2} )^{2}$$)($$( 1 - 1729880290 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 + 1275471838 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 71840 T + 7430807198 T^{2} - 221055731704160 T^{3} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 + 71840 T + 7430807198 T^{2} + 221055731704160 T^{3} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 1369983522 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 + 6078817438 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 92952 T + 11164448877 T^{2} - 573846024396496 T^{3} + 34353638858281213923 T^{4} -$$$$88\!\cdots\!52$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6} )^{2}$$)($$( 1 + 92952 T + 11164448877 T^{2} + 573846024396496 T^{3} + 34353638858281213923 T^{4} +$$$$88\!\cdots\!52$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6} )^{2}$$)($$( 1 + 10884258108 T^{2} + 48452581383610561862 T^{4} +$$$$10\!\cdots\!08$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 776704228 T^{2} + 16002995794169193542 T^{4} +$$$$73\!\cdots\!28$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 550 T + 7503320051 T^{2} + 274548109457880 T^{3} + 19206677484654564642 T^{4} +$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} +$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} +$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 - 550 T + 7503320051 T^{2} - 274548109457880 T^{3} + 19206677484654564642 T^{4} -$$$$16\!\cdots\!40$$$$T^{5} +$$$$59\!\cdots\!58$$$$T^{6} -$$$$25\!\cdots\!80$$$$T^{7} +$$$$21\!\cdots\!49$$$$T^{8} -$$$$49\!\cdots\!50$$$$T^{9} +$$$$27\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 9344137006 T^{2} + 37793088345036567567 T^{4} +$$$$11\!\cdots\!52$$$$T^{6} +$$$$35\!\cdots\!67$$$$T^{8} +$$$$83\!\cdots\!06$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 - 123936 T + 9855929374 T^{2} - 381358061866464 T^{3} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 3890 T + 12113295702 T^{2} - 123481459265038 T^{3} + 91540739278545278557 T^{4} -$$$$54\!\cdots\!76$$$$T^{5} +$$$$49\!\cdots\!68$$$$T^{6} -$$$$25\!\cdots\!64$$$$T^{7} +$$$$20\!\cdots\!98$$$$T^{8} -$$$$73\!\cdots\!52$$$$T^{9} +$$$$71\!\cdots\!48$$$$T^{10} -$$$$22\!\cdots\!48$$$$T^{11} +$$$$19\!\cdots\!98$$$$T^{12} -$$$$73\!\cdots\!36$$$$T^{13} +$$$$44\!\cdots\!68$$$$T^{14} -$$$$14\!\cdots\!24$$$$T^{15} +$$$$77\!\cdots\!57$$$$T^{16} -$$$$32\!\cdots\!62$$$$T^{17} +$$$$97\!\cdots\!02$$$$T^{18} -$$$$96\!\cdots\!10$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 141040 T + 30508439526 T^{2} + 3027236690742416 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} +$$$$29\!\cdots\!88$$$$T^{5} +$$$$27\!\cdots\!48$$$$T^{6} +$$$$17\!\cdots\!16$$$$T^{7} +$$$$13\!\cdots\!30$$$$T^{8} +$$$$73\!\cdots\!40$$$$T^{9} +$$$$47\!\cdots\!04$$$$T^{10} +$$$$22\!\cdots\!60$$$$T^{11} +$$$$12\!\cdots\!30$$$$T^{12} +$$$$51\!\cdots\!84$$$$T^{13} +$$$$24\!\cdots\!48$$$$T^{14} +$$$$81\!\cdots\!12$$$$T^{15} +$$$$32\!\cdots\!93$$$$T^{16} +$$$$79\!\cdots\!84$$$$T^{17} +$$$$24\!\cdots\!26$$$$T^{18} +$$$$34\!\cdots\!60$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 3890 T + 12113295702 T^{2} - 123481459265038 T^{3} + 91540739278545278557 T^{4} -$$$$54\!\cdots\!76$$$$T^{5} +$$$$49\!\cdots\!68$$$$T^{6} -$$$$25\!\cdots\!64$$$$T^{7} +$$$$20\!\cdots\!98$$$$T^{8} -$$$$73\!\cdots\!52$$$$T^{9} +$$$$71\!\cdots\!48$$$$T^{10} -$$$$22\!\cdots\!48$$$$T^{11} +$$$$19\!\cdots\!98$$$$T^{12} -$$$$73\!\cdots\!36$$$$T^{13} +$$$$44\!\cdots\!68$$$$T^{14} -$$$$14\!\cdots\!24$$$$T^{15} +$$$$77\!\cdots\!57$$$$T^{16} -$$$$32\!\cdots\!62$$$$T^{17} +$$$$97\!\cdots\!02$$$$T^{18} -$$$$96\!\cdots\!10$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 123936 T + 9855929374 T^{2} + 381358061866464 T^{3} + 9468276082626847201 T^{4} )^{4}$$)($$( 1 - 141040 T + 30508439526 T^{2} - 3027236690742416 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} -$$$$29\!\cdots\!88$$$$T^{5} +$$$$27\!\cdots\!48$$$$T^{6} -$$$$17\!\cdots\!16$$$$T^{7} +$$$$13\!\cdots\!30$$$$T^{8} -$$$$73\!\cdots\!40$$$$T^{9} +$$$$47\!\cdots\!04$$$$T^{10} -$$$$22\!\cdots\!60$$$$T^{11} +$$$$12\!\cdots\!30$$$$T^{12} -$$$$51\!\cdots\!84$$$$T^{13} +$$$$24\!\cdots\!48$$$$T^{14} -$$$$81\!\cdots\!12$$$$T^{15} +$$$$32\!\cdots\!93$$$$T^{16} -$$$$79\!\cdots\!84$$$$T^{17} +$$$$24\!\cdots\!26$$$$T^{18} -$$$$34\!\cdots\!60$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 141040 T + 30508439526 T^{2} - 3027236690742416 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} -$$$$29\!\cdots\!88$$$$T^{5} +$$$$27\!\cdots\!48$$$$T^{6} -$$$$17\!\cdots\!16$$$$T^{7} +$$$$13\!\cdots\!30$$$$T^{8} -$$$$73\!\cdots\!40$$$$T^{9} +$$$$47\!\cdots\!04$$$$T^{10} -$$$$22\!\cdots\!60$$$$T^{11} +$$$$12\!\cdots\!30$$$$T^{12} -$$$$51\!\cdots\!84$$$$T^{13} +$$$$24\!\cdots\!48$$$$T^{14} -$$$$81\!\cdots\!12$$$$T^{15} +$$$$32\!\cdots\!93$$$$T^{16} -$$$$79\!\cdots\!84$$$$T^{17} +$$$$24\!\cdots\!26$$$$T^{18} -$$$$34\!\cdots\!60$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20} )^{2}$$)
$83$ ($$1 + 37800 T + 3939040643 T^{2}$$)($$1 + 3939040643 T^{2}$$)($$1 + 3939040643 T^{2}$$)($$1 + 3939040643 T^{2}$$)($$1 - 37800 T + 3939040643 T^{2}$$)($$1 + 163262 T + 13327240322 T^{2} + 643095653457466 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 31928 T + 5910993662 T^{2} - 125765689649704 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 1875047714 T^{2} + 15516041187205853449 T^{4}$$)($$1 + 1693436786 T^{2} + 15516041187205853449 T^{4}$$)($$1 - 3421895214 T^{2} + 15516041187205853449 T^{4}$$)($$1 + 6331666438 T^{2} + 15516041187205853449 T^{4}$$)($$1 + 31928 T + 5910993662 T^{2} + 125765689649704 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 163262 T + 13327240322 T^{2} - 643095653457466 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 30258 T + 4293702405 T^{2} + 426012342532708 T^{3} + 16913068282241846415 T^{4} +$$$$46\!\cdots\!42$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6}$$)($$1 - 30258 T + 4293702405 T^{2} - 426012342532708 T^{3} + 16913068282241846415 T^{4} -$$$$46\!\cdots\!42$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6}$$)($$1 + 1156437054 T^{2} + 31359576788930042671 T^{4} +$$$$17\!\cdots\!46$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 + 1156437054 T^{2} + 31359576788930042671 T^{4} +$$$$17\!\cdots\!46$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 + 7906443964 T^{2} + 42876570344126662806 T^{4} +$$$$12\!\cdots\!36$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 + 66223 T + 18496273913 T^{2} + 1005379593772042 T^{3} +$$$$14\!\cdots\!17$$$$T^{4} +$$$$58\!\cdots\!33$$$$T^{5} +$$$$55\!\cdots\!31$$$$T^{6} +$$$$15\!\cdots\!58$$$$T^{7} +$$$$11\!\cdots\!91$$$$T^{8} +$$$$15\!\cdots\!23$$$$T^{9} +$$$$94\!\cdots\!43$$$$T^{10}$$)($$1 + 66223 T + 18496273913 T^{2} + 1005379593772042 T^{3} +$$$$14\!\cdots\!17$$$$T^{4} +$$$$58\!\cdots\!33$$$$T^{5} +$$$$55\!\cdots\!31$$$$T^{6} +$$$$15\!\cdots\!58$$$$T^{7} +$$$$11\!\cdots\!91$$$$T^{8} +$$$$15\!\cdots\!23$$$$T^{9} +$$$$94\!\cdots\!43$$$$T^{10}$$)($$1 - 66223 T + 18496273913 T^{2} - 1005379593772042 T^{3} +$$$$14\!\cdots\!17$$$$T^{4} -$$$$58\!\cdots\!33$$$$T^{5} +$$$$55\!\cdots\!31$$$$T^{6} -$$$$15\!\cdots\!58$$$$T^{7} +$$$$11\!\cdots\!91$$$$T^{8} -$$$$15\!\cdots\!23$$$$T^{9} +$$$$94\!\cdots\!43$$$$T^{10}$$)($$1 - 66223 T + 18496273913 T^{2} - 1005379593772042 T^{3} +$$$$14\!\cdots\!17$$$$T^{4} -$$$$58\!\cdots\!33$$$$T^{5} +$$$$55\!\cdots\!31$$$$T^{6} -$$$$15\!\cdots\!58$$$$T^{7} +$$$$11\!\cdots\!91$$$$T^{8} -$$$$15\!\cdots\!23$$$$T^{9} +$$$$94\!\cdots\!43$$$$T^{10}$$)($$( 1 + 35058 T + 9557900925 T^{2} + 270533088462428 T^{3} + 37648960205342294775 T^{4} +$$$$54\!\cdots\!42$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 + 13262102935 T^{2} + 90316800668278051654 T^{4} +$$$$41\!\cdots\!03$$$$T^{6} +$$$$14\!\cdots\!46$$$$T^{8} +$$$$31\!\cdots\!35$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$1 + 13262102935 T^{2} + 90316800668278051654 T^{4} +$$$$41\!\cdots\!03$$$$T^{6} +$$$$14\!\cdots\!46$$$$T^{8} +$$$$31\!\cdots\!35$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$1 + 11599602390 T^{2} + 72197091204656028039 T^{4} +$$$$31\!\cdots\!48$$$$T^{6} +$$$$11\!\cdots\!11$$$$T^{8} +$$$$27\!\cdots\!90$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$1 + 11599602390 T^{2} + 72197091204656028039 T^{4} +$$$$31\!\cdots\!48$$$$T^{6} +$$$$11\!\cdots\!11$$$$T^{8} +$$$$27\!\cdots\!90$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$( 1 - 35058 T + 9557900925 T^{2} - 270533088462428 T^{3} + 37648960205342294775 T^{4} -$$$$54\!\cdots\!42$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6} )^{2}$$)($$1 - 6449241286 T^{2} + 15516041187205853449 T^{4}$$)($$1 - 6449241286 T^{2} + 15516041187205853449 T^{4}$$)($$( 1 - 3939040643 T^{2} )^{2}$$)($$( 1 - 6331666438 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$( 1 + 3421895214 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$1 - 10802590140 T^{2} + 57941034568344378518 T^{4} -$$$$16\!\cdots\!60$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 - 10802590140 T^{2} + 57941034568344378518 T^{4} -$$$$16\!\cdots\!60$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$( 1 - 1693436786 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$( 1 + 1875047714 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$1 - 7671858246 T^{2} + 26481453986477119527 T^{4} -$$$$57\!\cdots\!28$$$$T^{6} +$$$$41\!\cdots\!23$$$$T^{8} -$$$$18\!\cdots\!46$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$1 - 7671858246 T^{2} + 26481453986477119527 T^{4} -$$$$57\!\cdots\!28$$$$T^{6} +$$$$41\!\cdots\!23$$$$T^{8} -$$$$18\!\cdots\!46$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$( 1 - 7906443964 T^{2} + 42876570344126662806 T^{4} -$$$$12\!\cdots\!36$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 1156437054 T^{2} + 31359576788930042671 T^{4} -$$$$17\!\cdots\!46$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 32607062097 T^{2} +$$$$49\!\cdots\!71$$$$T^{4} -$$$$45\!\cdots\!22$$$$T^{6} +$$$$28\!\cdots\!37$$$$T^{8} -$$$$13\!\cdots\!87$$$$T^{10} +$$$$44\!\cdots\!13$$$$T^{12} -$$$$10\!\cdots\!22$$$$T^{14} +$$$$18\!\cdots\!79$$$$T^{16} -$$$$18\!\cdots\!97$$$$T^{18} +$$$$89\!\cdots\!49$$$$T^{20}$$)($$1 - 32607062097 T^{2} +$$$$49\!\cdots\!71$$$$T^{4} -$$$$45\!\cdots\!22$$$$T^{6} +$$$$28\!\cdots\!37$$$$T^{8} -$$$$13\!\cdots\!87$$$$T^{10} +$$$$44\!\cdots\!13$$$$T^{12} -$$$$10\!\cdots\!22$$$$T^{14} +$$$$18\!\cdots\!79$$$$T^{16} -$$$$18\!\cdots\!97$$$$T^{18} +$$$$89\!\cdots\!49$$$$T^{20}$$)($$( 1 - 13262102935 T^{2} + 90316800668278051654 T^{4} -$$$$41\!\cdots\!03$$$$T^{6} +$$$$14\!\cdots\!46$$$$T^{8} -$$$$31\!\cdots\!35$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 10047855188 T^{2} + 55381071937674414326 T^{4} -$$$$15\!\cdots\!12$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 - 14624525420 T^{2} +$$$$16\!\cdots\!61$$$$T^{4} -$$$$13\!\cdots\!92$$$$T^{6} +$$$$97\!\cdots\!75$$$$T^{8} -$$$$59\!\cdots\!28$$$$T^{10} +$$$$32\!\cdots\!94$$$$T^{12} -$$$$16\!\cdots\!60$$$$T^{14} +$$$$75\!\cdots\!13$$$$T^{16} -$$$$32\!\cdots\!56$$$$T^{18} +$$$$13\!\cdots\!87$$$$T^{20} -$$$$50\!\cdots\!44$$$$T^{22} +$$$$18\!\cdots\!13$$$$T^{24} -$$$$60\!\cdots\!40$$$$T^{26} +$$$$18\!\cdots\!94$$$$T^{28} -$$$$53\!\cdots\!72$$$$T^{30} +$$$$13\!\cdots\!75$$$$T^{32} -$$$$29\!\cdots\!08$$$$T^{34} +$$$$55\!\cdots\!61$$$$T^{36} -$$$$76\!\cdots\!80$$$$T^{38} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$1 - 34768653380 T^{2} +$$$$55\!\cdots\!58$$$$T^{4} -$$$$53\!\cdots\!56$$$$T^{6} +$$$$34\!\cdots\!33$$$$T^{8} -$$$$15\!\cdots\!20$$$$T^{10} +$$$$44\!\cdots\!40$$$$T^{12} -$$$$24\!\cdots\!36$$$$T^{14} -$$$$64\!\cdots\!10$$$$T^{16} +$$$$49\!\cdots\!20$$$$T^{18} -$$$$23\!\cdots\!44$$$$T^{20} +$$$$76\!\cdots\!80$$$$T^{22} -$$$$15\!\cdots\!10$$$$T^{24} -$$$$90\!\cdots\!64$$$$T^{26} +$$$$25\!\cdots\!40$$$$T^{28} -$$$$14\!\cdots\!80$$$$T^{30} +$$$$48\!\cdots\!33$$$$T^{32} -$$$$11\!\cdots\!44$$$$T^{34} +$$$$18\!\cdots\!58$$$$T^{36} -$$$$18\!\cdots\!20$$$$T^{38} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$1 - 14624525420 T^{2} +$$$$16\!\cdots\!61$$$$T^{4} -$$$$13\!\cdots\!92$$$$T^{6} +$$$$97\!\cdots\!75$$$$T^{8} -$$$$59\!\cdots\!28$$$$T^{10} +$$$$32\!\cdots\!94$$$$T^{12} -$$$$16\!\cdots\!60$$$$T^{14} +$$$$75\!\cdots\!13$$$$T^{16} -$$$$32\!\cdots\!56$$$$T^{18} +$$$$13\!\cdots\!87$$$$T^{20} -$$$$50\!\cdots\!44$$$$T^{22} +$$$$18\!\cdots\!13$$$$T^{24} -$$$$60\!\cdots\!40$$$$T^{26} +$$$$18\!\cdots\!94$$$$T^{28} -$$$$53\!\cdots\!72$$$$T^{30} +$$$$13\!\cdots\!75$$$$T^{32} -$$$$29\!\cdots\!08$$$$T^{34} +$$$$55\!\cdots\!61$$$$T^{36} -$$$$76\!\cdots\!80$$$$T^{38} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$( 1 + 10047855188 T^{2} + 55381071937674414326 T^{4} +$$$$15\!\cdots\!12$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 49546 T + 18611729748 T^{2} - 16036748169134 T^{3} +$$$$10\!\cdots\!41$$$$T^{4} +$$$$82\!\cdots\!12$$$$T^{5} +$$$$32\!\cdots\!36$$$$T^{6} +$$$$62\!\cdots\!48$$$$T^{7} +$$$$26\!\cdots\!82$$$$T^{8} +$$$$20\!\cdots\!36$$$$T^{9} +$$$$17\!\cdots\!32$$$$T^{10} +$$$$78\!\cdots\!48$$$$T^{11} +$$$$41\!\cdots\!18$$$$T^{12} +$$$$38\!\cdots\!36$$$$T^{13} +$$$$77\!\cdots\!36$$$$T^{14} +$$$$77\!\cdots\!16$$$$T^{15} +$$$$39\!\cdots\!09$$$$T^{16} -$$$$23\!\cdots\!38$$$$T^{17} +$$$$10\!\cdots\!48$$$$T^{18} -$$$$11\!\cdots\!78$$$$T^{19} +$$$$89\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 49546 T + 18611729748 T^{2} + 16036748169134 T^{3} +$$$$10\!\cdots\!41$$$$T^{4} -$$$$82\!\cdots\!12$$$$T^{5} +$$$$32\!\cdots\!36$$$$T^{6} -$$$$62\!\cdots\!48$$$$T^{7} +$$$$26\!\cdots\!82$$$$T^{8} -$$$$20\!\cdots\!36$$$$T^{9} +$$$$17\!\cdots\!32$$$$T^{10} -$$$$78\!\cdots\!48$$$$T^{11} +$$$$41\!\cdots\!18$$$$T^{12} -$$$$38\!\cdots\!36$$$$T^{13} +$$$$77\!\cdots\!36$$$$T^{14} -$$$$77\!\cdots\!16$$$$T^{15} +$$$$39\!\cdots\!09$$$$T^{16} +$$$$23\!\cdots\!38$$$$T^{17} +$$$$10\!\cdots\!48$$$$T^{18} +$$$$11\!\cdots\!78$$$$T^{19} +$$$$89\!\cdots\!49$$$$T^{20} )^{2}$$)
$89$ ($$1 + 126806 T + 5584059449 T^{2}$$)($$1 + 51050 T + 5584059449 T^{2}$$)($$1 + 51050 T + 5584059449 T^{2}$$)($$1 - 51050 T + 5584059449 T^{2}$$)($$1 + 126806 T + 5584059449 T^{2}$$)($$( 1 - 149286 T + 5584059449 T^{2} )^{2}$$)($$1 + 40748 T + 8570866774 T^{2} + 227539254427852 T^{3} + 31181719929966183601 T^{4}$$)($$( 1 - 30570 T + 5584059449 T^{2} )^{2}$$)($$( 1 + 107590 T + 5584059449 T^{2} )^{2}$$)($$( 1 + 18310 T + 5584059449 T^{2} )^{2}$$)($$( 1 - 13930 T + 5584059449 T^{2} )^{2}$$)($$1 + 40748 T + 8570866774 T^{2} + 227539254427852 T^{3} + 31181719929966183601 T^{4}$$)($$( 1 - 149286 T + 5584059449 T^{2} )^{2}$$)($$1 - 172686 T + 26445328791 T^{2} - 2103593815517412 T^{3} +$$$$14\!\cdots\!59$$$$T^{4} -$$$$53\!\cdots\!86$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6}$$)($$1 - 172686 T + 26445328791 T^{2} - 2103593815517412 T^{3} +$$$$14\!\cdots\!59$$$$T^{4} -$$$$53\!\cdots\!86$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6}$$)($$( 1 + 37390 T + 10694141023 T^{2} + 208787982798110 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 + 37390 T + 10694141023 T^{2} + 208787982798110 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 - 104660 T + 13126874198 T^{2} - 584427661932340 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$1 + 103829 T + 15106086583 T^{2} + 610465478713486 T^{3} + 75789271213040104957 T^{4} +$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} +$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} +$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10}$$)($$1 + 103829 T + 15106086583 T^{2} + 610465478713486 T^{3} + 75789271213040104957 T^{4} +$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} +$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} +$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10}$$)($$1 + 103829 T + 15106086583 T^{2} + 610465478713486 T^{3} + 75789271213040104957 T^{4} +$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} +$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} +$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10}$$)($$1 + 103829 T + 15106086583 T^{2} + 610465478713486 T^{3} + 75789271213040104957 T^{4} +$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} +$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} +$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10}$$)($$( 1 + 88734 T + 11682221271 T^{2} + 581994460142148 T^{3} + 65234218073636339679 T^{4} +$$$$27\!\cdots\!34$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 41725 T + 9631028222 T^{2} - 540555874270425 T^{3} + 53780234146644769678 T^{4} -$$$$13\!\cdots\!25$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 41725 T + 9631028222 T^{2} - 540555874270425 T^{3} + 53780234146644769678 T^{4} -$$$$13\!\cdots\!25$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 930 T + 9446079447 T^{2} - 231471892494140 T^{3} + 52747469192025044703 T^{4} -$$$$28\!\cdots\!30$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 930 T + 9446079447 T^{2} - 231471892494140 T^{3} + 52747469192025044703 T^{4} -$$$$28\!\cdots\!30$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 + 88734 T + 11682221271 T^{2} + 581994460142148 T^{3} + 65234218073636339679 T^{4} +$$$$27\!\cdots\!34$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 126806 T + 5584059449 T^{2} )^{2}$$)($$( 1 - 126806 T + 5584059449 T^{2} )^{2}$$)($$( 1 + 51050 T + 5584059449 T^{2} )^{2}$$)($$( 1 + 13930 T + 5584059449 T^{2} )^{4}$$)($$( 1 - 18310 T + 5584059449 T^{2} )^{4}$$)($$( 1 - 40748 T + 8570866774 T^{2} - 227539254427852 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 - 40748 T + 8570866774 T^{2} - 227539254427852 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 - 107590 T + 5584059449 T^{2} )^{4}$$)($$( 1 + 30570 T + 5584059449 T^{2} )^{4}$$)($$( 1 + 172686 T + 26445328791 T^{2} + 2103593815517412 T^{3} +$$$$14\!\cdots\!59$$$$T^{4} +$$$$53\!\cdots\!86$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 + 172686 T + 26445328791 T^{2} + 2103593815517412 T^{3} +$$$$14\!\cdots\!59$$$$T^{4} +$$$$53\!\cdots\!86$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 + 104660 T + 13126874198 T^{2} + 584427661932340 T^{3} + 31181719929966183601 T^{4} )^{4}$$)($$( 1 - 37390 T + 10694141023 T^{2} - 208787982798110 T^{3} + 31181719929966183601 T^{4} )^{4}$$)($$( 1 - 103829 T + 15106086583 T^{2} - 610465478713486 T^{3} + 75789271213040104957 T^{4} -$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} -$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} -$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 - 103829 T + 15106086583 T^{2} - 610465478713486 T^{3} + 75789271213040104957 T^{4} -$$$$20\!\cdots\!39$$$$T^{5} +$$$$42\!\cdots\!93$$$$T^{6} -$$$$19\!\cdots\!86$$$$T^{7} +$$$$26\!\cdots\!67$$$$T^{8} -$$$$10\!\cdots\!29$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 41725 T + 9631028222 T^{2} + 540555874270425 T^{3} + 53780234146644769678 T^{4} +$$$$13\!\cdots\!25$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{4}$$)($$( 1 + 42316 T + 4292401174 T^{2} + 236295059643884 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 + 1580 T + 36261512417 T^{2} + 6424970644028 T^{3} +$$$$66\!\cdots\!07$$$$T^{4} -$$$$37\!\cdots\!24$$$$T^{5} +$$$$79\!\cdots\!98$$$$T^{6} -$$$$71\!\cdots\!76$$$$T^{7} +$$$$68\!\cdots\!93$$$$T^{8} -$$$$66\!\cdots\!68$$$$T^{9} +$$$$43\!\cdots\!43$$$$T^{10} -$$$$36\!\cdots\!32$$$$T^{11} +$$$$21\!\cdots\!93$$$$T^{12} -$$$$12\!\cdots\!24$$$$T^{13} +$$$$77\!\cdots\!98$$$$T^{14} -$$$$20\!\cdots\!76$$$$T^{15} +$$$$20\!\cdots\!07$$$$T^{16} +$$$$10\!\cdots\!72$$$$T^{17} +$$$$34\!\cdots\!17$$$$T^{18} +$$$$83\!\cdots\!20$$$$T^{19} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 1580 T + 27398194046 T^{2} + 460040940498284 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} +$$$$90\!\cdots\!72$$$$T^{5} +$$$$38\!\cdots\!08$$$$T^{6} +$$$$95\!\cdots\!24$$$$T^{7} +$$$$29\!\cdots\!70$$$$T^{8} +$$$$73\!\cdots\!60$$$$T^{9} +$$$$18\!\cdots\!64$$$$T^{10} +$$$$40\!\cdots\!40$$$$T^{11} +$$$$91\!\cdots\!70$$$$T^{12} +$$$$16\!\cdots\!76$$$$T^{13} +$$$$37\!\cdots\!08$$$$T^{14} +$$$$49\!\cdots\!28$$$$T^{15} +$$$$11\!\cdots\!93$$$$T^{16} +$$$$77\!\cdots\!16$$$$T^{17} +$$$$25\!\cdots\!46$$$$T^{18} +$$$$83\!\cdots\!20$$$$T^{19} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 1580 T + 36261512417 T^{2} + 6424970644028 T^{3} +$$$$66\!\cdots\!07$$$$T^{4} -$$$$37\!\cdots\!24$$$$T^{5} +$$$$79\!\cdots\!98$$$$T^{6} -$$$$71\!\cdots\!76$$$$T^{7} +$$$$68\!\cdots\!93$$$$T^{8} -$$$$66\!\cdots\!68$$$$T^{9} +$$$$43\!\cdots\!43$$$$T^{10} -$$$$36\!\cdots\!32$$$$T^{11} +$$$$21\!\cdots\!93$$$$T^{12} -$$$$12\!\cdots\!24$$$$T^{13} +$$$$77\!\cdots\!98$$$$T^{14} -$$$$20\!\cdots\!76$$$$T^{15} +$$$$20\!\cdots\!07$$$$T^{16} +$$$$10\!\cdots\!72$$$$T^{17} +$$$$34\!\cdots\!17$$$$T^{18} +$$$$83\!\cdots\!20$$$$T^{19} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 42316 T + 4292401174 T^{2} - 236295059643884 T^{3} + 31181719929966183601 T^{4} )^{4}$$)($$( 1 - 1580 T + 27398194046 T^{2} - 460040940498284 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} -$$$$90\!\cdots\!72$$$$T^{5} +$$$$38\!\cdots\!08$$$$T^{6} -$$$$95\!\cdots\!24$$$$T^{7} +$$$$29\!\cdots\!70$$$$T^{8} -$$$$73\!\cdots\!60$$$$T^{9} +$$$$18\!\cdots\!64$$$$T^{10} -$$$$40\!\cdots\!40$$$$T^{11} +$$$$91\!\cdots\!70$$$$T^{12} -$$$$16\!\cdots\!76$$$$T^{13} +$$$$37\!\cdots\!08$$$$T^{14} -$$$$49\!\cdots\!28$$$$T^{15} +$$$$11\!\cdots\!93$$$$T^{16} -$$$$77\!\cdots\!16$$$$T^{17} +$$$$25\!\cdots\!46$$$$T^{18} -$$$$83\!\cdots\!20$$$$T^{19} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 1580 T + 27398194046 T^{2} - 460040940498284 T^{3} +$$$$38\!\cdots\!93$$$$T^{4} -$$$$90\!\cdots\!72$$$$T^{5} +$$$$38\!\cdots\!08$$$$T^{6} -$$$$95\!\cdots\!24$$$$T^{7} +$$$$29\!\cdots\!70$$$$T^{8} -$$$$73\!\cdots\!60$$$$T^{9} +$$$$18\!\cdots\!64$$$$T^{10} -$$$$40\!\cdots\!40$$$$T^{11} +$$$$91\!\cdots\!70$$$$T^{12} -$$$$16\!\cdots\!76$$$$T^{13} +$$$$37\!\cdots\!08$$$$T^{14} -$$$$49\!\cdots\!28$$$$T^{15} +$$$$11\!\cdots\!93$$$$T^{16} -$$$$77\!\cdots\!16$$$$T^{17} +$$$$25\!\cdots\!46$$$$T^{18} -$$$$83\!\cdots\!20$$$$T^{19} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)
$97$ ($$1 + 62290 T + 8587340257 T^{2}$$)($$1 - 160808 T + 8587340257 T^{2}$$)($$1 + 160808 T + 8587340257 T^{2}$$)($$1 - 92142 T + 8587340257 T^{2}$$)($$1 + 62290 T + 8587340257 T^{2}$$)($$( 1 + 8587340257 T^{2} )^{2}$$)($$1 - 190140 T + 19653817414 T^{2} - 1632796876465980 T^{3} + 73742412689492826049 T^{4}$$)($$( 1 + 66882 T + 8587340257 T^{2} )^{2}$$)($$( 1 - 108838 T + 8587340257 T^{2} )^{2}$$)($$( 1 + 49978 T + 8587340257 T^{2} )^{2}$$)($$( 1 + 163602 T + 8587340257 T^{2} )^{2}$$)($$1 - 190140 T + 19653817414 T^{2} - 1632796876465980 T^{3} + 73742412689492826049 T^{4}$$)($$( 1 + 8587340257 T^{2} )^{2}$$)($$1 + 170910 T + 30283966671 T^{2} + 2852314667192740 T^{3} +$$$$26\!\cdots\!47$$$$T^{4} +$$$$12\!\cdots\!90$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6}$$)($$1 + 170910 T + 30283966671 T^{2} + 2852314667192740 T^{3} +$$$$26\!\cdots\!47$$$$T^{4} +$$$$12\!\cdots\!90$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6}$$)($$( 1 - 7876 T + 9618619958 T^{2} - 67633891864132 T^{3} + 73742412689492826049 T^{4} )^{2}$$)($$( 1 + 7876 T + 9618619958 T^{2} + 67633891864132 T^{3} + 73742412689492826049 T^{4} )^{2}$$)($$( 1 - 29564 T + 14772618438 T^{2} - 253876127357948 T^{3} + 73742412689492826049 T^{4} )^{2}$$)($$1 + 21150 T + 18471075085 T^{2} + 851530099332200 T^{3} +$$$$18\!\cdots\!90$$$$T^{4} +$$$$95\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!30$$$$T^{6} +$$$$62\!\cdots\!00$$$$T^{7} +$$$$11\!\cdots\!05$$$$T^{8} +$$$$11\!\cdots\!50$$$$T^{9} +$$$$46\!\cdots\!57$$$$T^{10}$$)($$1 - 21150 T + 18471075085 T^{2} - 851530099332200 T^{3} +$$$$18\!\cdots\!90$$$$T^{4} -$$$$95\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!30$$$$T^{6} -$$$$62\!\cdots\!00$$$$T^{7} +$$$$11\!\cdots\!05$$$$T^{8} -$$$$11\!\cdots\!50$$$$T^{9} +$$$$46\!\cdots\!57$$$$T^{10}$$)($$1 - 21150 T + 18471075085 T^{2} - 851530099332200 T^{3} +$$$$18\!\cdots\!90$$$$T^{4} -$$$$95\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!30$$$$T^{6} -$$$$62\!\cdots\!00$$$$T^{7} +$$$$11\!\cdots\!05$$$$T^{8} -$$$$11\!\cdots\!50$$$$T^{9} +$$$$46\!\cdots\!57$$$$T^{10}$$)($$1 + 21150 T + 18471075085 T^{2} + 851530099332200 T^{3} +$$$$18\!\cdots\!90$$$$T^{4} +$$$$95\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!30$$$$T^{6} +$$$$62\!\cdots\!00$$$$T^{7} +$$$$11\!\cdots\!05$$$$T^{8} +$$$$11\!\cdots\!50$$$$T^{9} +$$$$46\!\cdots\!57$$$$T^{10}$$)($$1 + 22620660742 T^{2} +$$$$25\!\cdots\!35$$$$T^{4} +$$$$22\!\cdots\!60$$$$T^{6} +$$$$18\!\cdots\!15$$$$T^{8} +$$$$12\!\cdots\!42$$$$T^{10} +$$$$40\!\cdots\!49$$$$T^{12}$$)($$( 1 - 125026 T + 29465627663 T^{2} - 2179322980377052 T^{3} +$$$$25\!\cdots\!91$$$$T^{4} -$$$$92\!\cdots\!74$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 + 125026 T + 29465627663 T^{2} + 2179322980377052 T^{3} +$$$$25\!\cdots\!91$$$$T^{4} +$$$$92\!\cdots\!74$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 + 69944 T + 20250814883 T^{2} + 837974056324208 T^{3} +$$$$17\!\cdots\!31$$$$T^{4} +$$$$51\!\cdots\!56$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 - 69944 T + 20250814883 T^{2} - 837974056324208 T^{3} +$$$$17\!\cdots\!31$$$$T^{4} -$$$$51\!\cdots\!56$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6} )^{2}$$)($$1 + 22620660742 T^{2} +$$$$25\!\cdots\!35$$$$T^{4} +$$$$22\!\cdots\!60$$$$T^{6} +$$$$18\!\cdots\!15$$$$T^{8} +$$$$12\!\cdots\!42$$$$T^{10} +$$$$40\!\cdots\!49$$$$T^{12}$$)($$1 - 13294636414 T^{2} + 73742412689492826049 T^{4}$$)($$1 - 13294636414 T^{2} + 73742412689492826049 T^{4}$$)($$( 1 - 160808 T + 8587340257 T^{2} )( 1 + 160808 T + 8587340257 T^{2} )$$)($$( 1 + 9590933890 T^{2} + 73742412689492826049 T^{4} )^{2}$$)($$( 1 - 14676880030 T^{2} + 73742412689492826049 T^{4} )^{2}$$)($$1 - 3154415228 T^{2} - 87162631860647574906 T^{4} -$$$$23\!\cdots\!72$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{8}$$)($$1 - 3154415228 T^{2} - 87162631860647574906 T^{4} -$$$$23\!\cdots\!72$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{8}$$)($$( 1 - 5328970270 T^{2} + 73742412689492826049 T^{4} )^{2}$$)($$( 1 - 12701478590 T^{2} + 73742412689492826049 T^{4} )^{2}$$)($$1 - 31357705242 T^{2} +$$$$46\!\cdots\!35$$$$T^{4} -$$$$45\!\cdots\!60$$$$T^{6} +$$$$34\!\cdots\!15$$$$T^{8} -$$$$17\!\cdots\!42$$$$T^{10} +$$$$40\!\cdots\!49$$$$T^{12}$$)($$1 - 31357705242 T^{2} +$$$$46\!\cdots\!35$$$$T^{4} -$$$$45\!\cdots\!60$$$$T^{6} +$$$$34\!\cdots\!15$$$$T^{8} -$$$$17\!\cdots\!42$$$$T^{10} +$$$$40\!\cdots\!49$$$$T^{12}$$)($$( 1 - 28671206780 T^{2} +$$$$35\!\cdots\!98$$$$T^{4} -$$$$21\!\cdots\!20$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 19175208540 T^{2} +$$$$23\!\cdots\!98$$$$T^{4} -$$$$14\!\cdots\!60$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 36494827670 T^{2} +$$$$67\!\cdots\!05$$$$T^{4} -$$$$89\!\cdots\!60$$$$T^{6} +$$$$98\!\cdots\!10$$$$T^{8} -$$$$92\!\cdots\!64$$$$T^{10} +$$$$72\!\cdots\!90$$$$T^{12} -$$$$48\!\cdots\!60$$$$T^{14} +$$$$27\!\cdots\!45$$$$T^{16} -$$$$10\!\cdots\!70$$$$T^{18} +$$$$21\!\cdots\!49$$$$T^{20}$$)($$1 - 36494827670 T^{2} +$$$$67\!\cdots\!05$$$$T^{4} -$$$$89\!\cdots\!60$$$$T^{6} +$$$$98\!\cdots\!10$$$$T^{8} -$$$$92\!\cdots\!64$$$$T^{10} +$$$$72\!\cdots\!90$$$$T^{12} -$$$$48\!\cdots\!60$$$$T^{14} +$$$$27\!\cdots\!45$$$$T^{16} -$$$$10\!\cdots\!70$$$$T^{18} +$$$$21\!\cdots\!49$$$$T^{20}$$)($$( 1 - 43299754650 T^{2} +$$$$82\!\cdots\!47$$$$T^{4} -$$$$91\!\cdots\!00$$$$T^{6} +$$$$61\!\cdots\!03$$$$T^{8} -$$$$23\!\cdots\!50$$$$T^{10} +$$$$40\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 - 49788 T + 16391371462 T^{2} - 427546496715516 T^{3} + 73742412689492826049 T^{4} )^{2}$$)($$( 1 - 36844 T + 48354665598 T^{2} - 717197388171788 T^{3} +$$$$10\!\cdots\!13$$$$T^{4} +$$$$11\!\cdots\!84$$$$T^{5} +$$$$14\!\cdots\!32$$$$T^{6} +$$$$10\!\cdots\!28$$$$T^{7} +$$$$16\!\cdots\!46$$$$T^{8} +$$$$87\!\cdots\!40$$$$T^{9} +$$$$15\!\cdots\!40$$$$T^{10} +$$$$74\!\cdots\!80$$$$T^{11} +$$$$12\!\cdots\!54$$$$T^{12} +$$$$65\!\cdots\!04$$$$T^{13} +$$$$80\!\cdots\!32$$$$T^{14} +$$$$51\!\cdots\!88$$$$T^{15} +$$$$41\!\cdots\!37$$$$T^{16} -$$$$24\!\cdots\!84$$$$T^{17} +$$$$14\!\cdots\!98$$$$T^{18} -$$$$93\!\cdots\!08$$$$T^{19} +$$$$21\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 73688 T + 43672916862 T^{2} + 2817316775448856 T^{3} +$$$$98\!\cdots\!25$$$$T^{4} +$$$$59\!\cdots\!28$$$$T^{5} +$$$$15\!\cdots\!52$$$$T^{6} +$$$$87\!\cdots\!16$$$$T^{7} +$$$$18\!\cdots\!70$$$$T^{8} +$$$$96\!\cdots\!88$$$$T^{9} +$$$$17\!\cdots\!72$$$$T^{10} +$$$$82\!\cdots\!16$$$$T^{11} +$$$$13\!\cdots\!30$$$$T^{12} +$$$$55\!\cdots\!88$$$$T^{13} +$$$$84\!\cdots\!52$$$$T^{14} +$$$$27\!\cdots\!96$$$$T^{15} +$$$$39\!\cdots\!25$$$$T^{16} +$$$$97\!\cdots\!08$$$$T^{17} +$$$$12\!\cdots\!62$$$$T^{18} +$$$$18\!\cdots\!16$$$$T^{19} +$$$$21\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 36844 T + 48354665598 T^{2} + 717197388171788 T^{3} +$$$$10\!\cdots\!13$$$$T^{4} -$$$$11\!\cdots\!84$$$$T^{5} +$$$$14\!\cdots\!32$$$$T^{6} -$$$$10\!\cdots\!28$$$$T^{7} +$$$$16\!\cdots\!46$$$$T^{8} -$$$$87\!\cdots\!40$$$$T^{9} +$$$$15\!\cdots\!40$$$$T^{10} -$$$$74\!\cdots\!80$$$$T^{11} +$$$$12\!\cdots\!54$$$$T^{12} -$$$$65\!\cdots\!04$$$$T^{13} +$$$$80\!\cdots\!32$$$$T^{14} -$$$$51\!\cdots\!88$$$$T^{15} +$$$$41\!\cdots\!37$$$$T^{16} +$$$$24\!\cdots\!84$$$$T^{17} +$$$$14\!\cdots\!98$$$$T^{18} +$$$$93\!\cdots\!08$$$$T^{19} +$$$$21\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 30303897980 T^{2} +$$$$37\!\cdots\!26$$$$T^{4} -$$$$22\!\cdots\!20$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{8} )^{2}$$)($$1 - 81915912380 T^{2} +$$$$34\!\cdots\!38$$$$T^{4} -$$$$10\!\cdots\!40$$$$T^{6} +$$$$22\!\cdots\!61$$$$T^{8} -$$$$40\!\cdots\!60$$$$T^{10} +$$$$61\!\cdots\!24$$$$T^{12} -$$$$81\!\cdots\!40$$$$T^{14} +$$$$94\!\cdots\!22$$$$T^{16} -$$$$97\!\cdots\!80$$$$T^{18} +$$$$88\!\cdots\!08$$$$T^{20} -$$$$71\!\cdots\!20$$$$T^{22} +$$$$51\!\cdots\!22$$$$T^{24} -$$$$32\!\cdots\!60$$$$T^{26} +$$$$18\!\cdots\!24$$$$T^{28} -$$$$87\!\cdots\!40$$$$T^{30} +$$$$35\!\cdots\!61$$$$T^{32} -$$$$11\!\cdots\!60$$$$T^{34} +$$$$30\!\cdots\!38$$$$T^{36} -$$$$52\!\cdots\!20$$$$T^{38} +$$$$47\!\cdots\!01$$$$T^{40}$$)($$1 - 81915912380 T^{2} +$$$$34\!\cdots\!38$$$$T^{4} -$$$$10\!\cdots\!40$$$$T^{6} +$$$$22\!\cdots\!61$$$$T^{8} -$$$$40\!\cdots\!60$$$$T^{10} +$$$$61\!\cdots\!24$$$$T^{12} -$$$$81\!\cdots\!40$$$$T^{14} +$$$$94\!\cdots\!22$$$$T^{16} -$$$$97\!\cdots\!80$$$$T^{18} +$$$$88\!\cdots\!08$$$$T^{20} -$$$$71\!\cdots\!20$$$$T^{22} +$$$$51\!\cdots\!22$$$$T^{24} -$$$$32\!\cdots\!60$$$$T^{26} +$$$$18\!\cdots\!24$$$$T^{28} -$$$$87\!\cdots\!40$$$$T^{30} +$$$$35\!\cdots\!61$$$$T^{32} -$$$$11\!\cdots\!60$$$$T^{34} +$$$$30\!\cdots\!38$$$$T^{36} -$$$$52\!\cdots\!20$$$$T^{38} +$$$$47\!\cdots\!01$$$$T^{40}$$)