Properties

 Label 576.3 Level 576 Weight 3 Dimension 8109 Nonzero newspaces 16 Sturm bound 55296 Trace bound 25

Defining parameters

 Level: $$N$$ = $$576 = 2^{6} \cdot 3^{2}$$ Weight: $$k$$ = $$3$$ Nonzero newspaces: $$16$$ Sturm bound: $$55296$$ Trace bound: $$25$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{3}(\Gamma_1(576))$$.

Total New Old
Modular forms 19008 8307 10701
Cusp forms 17856 8109 9747
Eisenstein series 1152 198 954

Trace form

 $$8109q - 24q^{2} - 24q^{3} - 24q^{4} - 24q^{5} - 32q^{6} - 16q^{7} - 24q^{8} - 40q^{9} + O(q^{10})$$ $$8109q - 24q^{2} - 24q^{3} - 24q^{4} - 24q^{5} - 32q^{6} - 16q^{7} - 24q^{8} - 40q^{9} - 72q^{10} - 2q^{11} - 32q^{12} - 8q^{13} - 24q^{14} - 24q^{15} - 24q^{16} - 58q^{17} - 32q^{18} - 86q^{19} - 24q^{20} - 32q^{21} - 96q^{22} - 88q^{23} - 32q^{24} - 151q^{25} - 224q^{26} - 24q^{27} - 192q^{28} - 56q^{29} - 32q^{30} - 28q^{31} + 16q^{32} - 60q^{33} + 96q^{34} - 120q^{35} - 32q^{36} - 216q^{37} + 256q^{38} - 216q^{39} + 336q^{40} - 158q^{41} - 32q^{42} - 162q^{43} + 80q^{44} - 128q^{45} - 72q^{46} - 12q^{47} - 32q^{48} + 5q^{49} + 288q^{50} + 136q^{51} + 504q^{52} + 408q^{53} - 32q^{54} - 308q^{55} + 368q^{56} + 280q^{57} + 336q^{58} + 94q^{59} - 32q^{60} + 312q^{61} + 120q^{62} + 172q^{63} - 168q^{64} + 228q^{65} - 32q^{66} + 526q^{67} - 264q^{68} + 40q^{69} - 696q^{70} + 756q^{71} - 32q^{72} + 166q^{73} - 640q^{74} + 112q^{75} - 856q^{76} + 612q^{77} + 784q^{78} + 1004q^{79} + 2448q^{80} + 840q^{81} + 3048q^{82} + 622q^{83} + 2432q^{84} + 792q^{85} + 2784q^{86} + 424q^{87} + 1656q^{88} + 962q^{89} + 1408q^{90} + 140q^{91} + 1344q^{92} + 160q^{93} + 264q^{94} + 12q^{95} - 304q^{96} - 322q^{97} - 1248q^{98} - 280q^{99} + O(q^{100})$$

Decomposition of $$S_{3}^{\mathrm{new}}(\Gamma_1(576))$$

We only show spaces with odd 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
576.3.b $$\chi_{576}(415, \cdot)$$ 576.3.b.a 4 1
576.3.b.b 4
576.3.b.c 4
576.3.b.d 4
576.3.b.e 4
576.3.e $$\chi_{576}(449, \cdot)$$ 576.3.e.a 2 1
576.3.e.b 2
576.3.e.c 2
576.3.e.d 2
576.3.e.e 2
576.3.e.f 2
576.3.e.g 2
576.3.e.h 2
576.3.g $$\chi_{576}(127, \cdot)$$ 576.3.g.a 1 1
576.3.g.b 1
576.3.g.c 1
576.3.g.d 2
576.3.g.e 2
576.3.g.f 2
576.3.g.g 2
576.3.g.h 2
576.3.g.i 2
576.3.g.j 4
576.3.h $$\chi_{576}(161, \cdot)$$ 576.3.h.a 8 1
576.3.h.b 8
576.3.j $$\chi_{576}(17, \cdot)$$ 576.3.j.a 32 2
576.3.m $$\chi_{576}(271, \cdot)$$ 576.3.m.a 6 2
576.3.m.b 16
576.3.m.c 16
576.3.n $$\chi_{576}(353, \cdot)$$ 576.3.n.a 8 2
576.3.n.b 24
576.3.n.c 32
576.3.n.d 32
576.3.o $$\chi_{576}(319, \cdot)$$ 576.3.o.a 2 2
576.3.o.b 2
576.3.o.c 4
576.3.o.d 8
576.3.o.e 8
576.3.o.f 8
576.3.o.g 16
576.3.o.h 20
576.3.o.i 24
576.3.q $$\chi_{576}(65, \cdot)$$ 576.3.q.a 2 2
576.3.q.b 2
576.3.q.c 4
576.3.q.d 4
576.3.q.e 4
576.3.q.f 4
576.3.q.g 4
576.3.q.h 4
576.3.q.i 8
576.3.q.j 8
576.3.q.k 24
576.3.q.l 24
576.3.t $$\chi_{576}(31, \cdot)$$ 576.3.t.a 32 2
576.3.t.b 32
576.3.t.c 32
576.3.u $$\chi_{576}(55, \cdot)$$ None 0 4
576.3.x $$\chi_{576}(89, \cdot)$$ None 0 4
576.3.z $$\chi_{576}(79, \cdot)$$ n/a 184 4
576.3.ba $$\chi_{576}(113, \cdot)$$ n/a 184 4
576.3.bc $$\chi_{576}(53, \cdot)$$ n/a 512 8
576.3.bf $$\chi_{576}(19, \cdot)$$ n/a 632 8
576.3.bh $$\chi_{576}(7, \cdot)$$ None 0 8
576.3.bi $$\chi_{576}(41, \cdot)$$ None 0 8
576.3.bk $$\chi_{576}(43, \cdot)$$ n/a 3040 16
576.3.bn $$\chi_{576}(5, \cdot)$$ n/a 3040 16

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

Decomposition of $$S_{3}^{\mathrm{old}}(\Gamma_1(576))$$ into lower level spaces

$$S_{3}^{\mathrm{old}}(\Gamma_1(576)) \cong$$ $$S_{3}^{\mathrm{new}}(\Gamma_1(8))$$$$^{\oplus 12}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(9))$$$$^{\oplus 7}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(12))$$$$^{\oplus 10}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 9}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(18))$$$$^{\oplus 6}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(24))$$$$^{\oplus 8}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(32))$$$$^{\oplus 6}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(36))$$$$^{\oplus 5}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(48))$$$$^{\oplus 6}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(64))$$$$^{\oplus 3}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(72))$$$$^{\oplus 4}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(96))$$$$^{\oplus 4}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(144))$$$$^{\oplus 3}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(192))$$$$^{\oplus 2}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(288))$$$$^{\oplus 2}$$

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ ($$1 + 14 T^{2} + 115 T^{4} + 1134 T^{6} + 6561 T^{8}$$)($$1 + 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$( 1 + 9 T^{2} )^{2}$$)($$1 + 3 T + 6 T^{2} - 27 T^{3} - 126 T^{4} - 243 T^{5} + 486 T^{6} + 2187 T^{7} + 6561 T^{8}$$)($$1 + 3 T^{2} - 72 T^{4} + 243 T^{6} + 6561 T^{8}$$)($$1 - 3 T + 6 T^{2} + 27 T^{3} - 126 T^{4} + 243 T^{5} + 486 T^{6} - 2187 T^{7} + 6561 T^{8}$$)($$1 - 9 T^{2} + 66 T^{4} + 1161 T^{6} - 10854 T^{8} + 94041 T^{10} + 433026 T^{12} - 4782969 T^{14} + 43046721 T^{16}$$)($$1 - 24 T^{2} + 222 T^{4} - 1386 T^{6} + 18801 T^{8} - 235548 T^{10} + 1522881 T^{12} - 9093546 T^{14} + 117979902 T^{16} - 1033121304 T^{18} + 3486784401 T^{20}$$)($$1 + 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$( 1 + 3 T )^{4}$$)($$1 + 3 T + 12 T^{2} + 27 T^{3} + 81 T^{4}$$)($$1 - 6 T^{2} + 81 T^{4}$$)($$1 - 6 T^{2} + 81 T^{4}$$)($$1 - 3 T + 12 T^{2} - 27 T^{3} + 81 T^{4}$$)($$( 1 - 3 T )^{4}$$)($$1 + 10 T + 61 T^{2} + 270 T^{3} + 912 T^{4} + 2430 T^{5} + 4941 T^{6} + 7290 T^{7} + 6561 T^{8}$$)($$1 - 10 T + 61 T^{2} - 270 T^{3} + 912 T^{4} - 2430 T^{5} + 4941 T^{6} - 7290 T^{7} + 6561 T^{8}$$)
$5$ ($$( 1 - 38 T^{2} + 625 T^{4} )^{2}$$)($$( 1 - 2 T + 25 T^{2} )^{2}( 1 + 2 T + 25 T^{2} )^{2}$$)($$( 1 - 5 T )^{4}( 1 + 5 T )^{4}$$)($$( 1 - 2 T^{2} + 625 T^{4} )^{2}$$)($$( 1 - 38 T^{2} + 625 T^{4} )^{2}$$)($$1 + 625 T^{4}$$)($$1 - 48 T^{2} + 625 T^{4}$$)($$1 - 32 T^{2} + 625 T^{4}$$)($$1 - 48 T^{2} + 625 T^{4}$$)($$1 + 48 T^{2} + 625 T^{4}$$)($$1 - 32 T^{2} + 625 T^{4}$$)($$1 - 48 T^{2} + 625 T^{4}$$)($$1 + 625 T^{4}$$)($$1 + 8 T + 25 T^{2}$$)($$1 + 6 T + 25 T^{2}$$)($$1 - 8 T + 25 T^{2}$$)($$( 1 + 4 T + 25 T^{2} )^{2}$$)($$( 1 + 2 T + 25 T^{2} )^{2}$$)($$( 1 + 25 T^{2} )^{2}$$)($$( 1 - 2 T + 25 T^{2} )^{2}$$)($$( 1 - 4 T + 25 T^{2} )^{2}$$)($$( 1 - 6 T + 25 T^{2} )^{2}$$)($$( 1 + 4 T + 6 T^{2} + 100 T^{3} + 625 T^{4} )^{2}$$)($$( 1 + 44 T^{2} + 625 T^{4} )^{4}$$)($$( 1 - 4 T^{2} + 625 T^{4} )^{4}$$)($$1 - 2 T + 2 T^{2} + 14 T^{3} - 369 T^{4} - 636 T^{5} + 2108 T^{6} - 15900 T^{7} - 230625 T^{8} + 218750 T^{9} + 781250 T^{10} - 19531250 T^{11} + 244140625 T^{12}$$)($$1 - 344 T^{4} - 8484 T^{8} + 258572952 T^{12} - 94198183354 T^{16} + 101005059375000 T^{20} - 1294555664062500 T^{24} - 20503997802734375000 T^{28} +$$$$23\!\cdots\!25$$$$T^{32}$$)($$1 - 32 T^{3} - 344 T^{4} - 5664 T^{5} + 512 T^{6} - 145600 T^{7} + 223452 T^{8} + 2255168 T^{9} + 20875776 T^{10} + 67282720 T^{11} + 753060504 T^{12} - 1881828576 T^{13} + 2740220928 T^{14} - 75471830656 T^{15} - 399298967994 T^{16} - 1886795766400 T^{17} + 1712638080000 T^{18} - 29403571500000 T^{19} + 294164259375000 T^{20} + 657057812500000 T^{21} + 5096625000000000 T^{22} + 13764453125000000 T^{23} + 34096069335937500 T^{24} - 555419921875000000 T^{25} + 48828125000000000 T^{26} - 13504028320312500000 T^{27} - 20503997802734375000 T^{28} - 47683715820312500000 T^{29} +$$$$23\!\cdots\!25$$$$T^{32}$$)($$( 1 - 25 T^{2} + 625 T^{4} )^{4}$$)($$1 - 4 T - 9 T^{2} - 100 T^{3} + 625 T^{4}$$)($$1 - 4 T - 9 T^{2} - 100 T^{3} + 625 T^{4}$$)($$( 1 - 7 T + 24 T^{2} - 175 T^{3} + 625 T^{4} )^{2}$$)($$1 + 3 T - 34 T^{2} - 339 T^{3} + 211 T^{4} + 10296 T^{5} + 50708 T^{6} - 156576 T^{7} - 1757804 T^{8} - 3914400 T^{9} + 31692500 T^{10} + 160875000 T^{11} + 82421875 T^{12} - 3310546875 T^{13} - 8300781250 T^{14} + 18310546875 T^{15} + 152587890625 T^{16}$$)($$( 1 - 3 T - 17 T^{2} + 72 T^{3} - 174 T^{4} + 1800 T^{5} - 10625 T^{6} - 46875 T^{7} + 390625 T^{8} )^{2}$$)($$1 + 3 T - 34 T^{2} - 339 T^{3} + 211 T^{4} + 10296 T^{5} + 50708 T^{6} - 156576 T^{7} - 1757804 T^{8} - 3914400 T^{9} + 31692500 T^{10} + 160875000 T^{11} + 82421875 T^{12} - 3310546875 T^{13} - 8300781250 T^{14} + 18310546875 T^{15} + 152587890625 T^{16}$$)($$( 1 + 3 T - 38 T^{2} + 201 T^{3} + 1495 T^{4} - 6984 T^{5} + 24112 T^{6} + 181380 T^{7} - 866084 T^{8} + 4534500 T^{9} + 15070000 T^{10} - 109125000 T^{11} + 583984375 T^{12} + 1962890625 T^{13} - 9277343750 T^{14} + 18310546875 T^{15} + 152587890625 T^{16} )^{2}$$)($$( 1 + 7 T - 47 T^{2} - 546 T^{3} + 774 T^{4} + 21882 T^{5} + 25179 T^{6} - 552447 T^{7} - 2088525 T^{8} + 5941096 T^{9} + 71353876 T^{10} + 148527400 T^{11} - 1305328125 T^{12} - 8631984375 T^{13} + 9835546875 T^{14} + 213691406250 T^{15} + 188964843750 T^{16} - 3332519531250 T^{17} - 7171630859375 T^{18} + 26702880859375 T^{19} + 95367431640625 T^{20} )^{2}$$)($$1 + 6 T + 37 T^{2} + 150 T^{3} + 625 T^{4}$$)($$1 + 6 T + 37 T^{2} + 150 T^{3} + 625 T^{4}$$)($$1 + 6 T + 33 T^{2} + 126 T^{3} + 116 T^{4} + 3150 T^{5} + 20625 T^{6} + 93750 T^{7} + 390625 T^{8}$$)($$1 + 9 T + 59 T^{2} + 288 T^{3} + 1074 T^{4} + 7200 T^{5} + 36875 T^{6} + 140625 T^{7} + 390625 T^{8}$$)($$( 1 - 9 T + 52 T^{2} - 225 T^{3} + 625 T^{4} )^{2}$$)($$( 1 - 9 T + 52 T^{2} - 225 T^{3} + 625 T^{4} )^{2}$$)($$1 + 9 T + 59 T^{2} + 288 T^{3} + 1074 T^{4} + 7200 T^{5} + 36875 T^{6} + 140625 T^{7} + 390625 T^{8}$$)($$1 + 6 T + 33 T^{2} + 126 T^{3} + 116 T^{4} + 3150 T^{5} + 20625 T^{6} + 93750 T^{7} + 390625 T^{8}$$)($$1 - 6 T + 63 T^{2} - 306 T^{3} + 2461 T^{4} - 15132 T^{5} + 86562 T^{6} - 473928 T^{7} + 2131866 T^{8} - 11848200 T^{9} + 54101250 T^{10} - 236437500 T^{11} + 961328125 T^{12} - 2988281250 T^{13} + 15380859375 T^{14} - 36621093750 T^{15} + 152587890625 T^{16}$$)($$1 - 6 T + 63 T^{2} - 306 T^{3} + 2461 T^{4} - 15132 T^{5} + 86562 T^{6} - 473928 T^{7} + 2131866 T^{8} - 11848200 T^{9} + 54101250 T^{10} - 236437500 T^{11} + 961328125 T^{12} - 2988281250 T^{13} + 15380859375 T^{14} - 36621093750 T^{15} + 152587890625 T^{16}$$)
$7$ ($$( 1 + 2 T^{2} + 2401 T^{4} )^{2}$$)($$( 1 + 2 T^{2} + 2401 T^{4} )^{2}$$)($$( 1 - 94 T^{2} + 2401 T^{4} )^{2}$$)($$( 1 - 34 T^{2} + 2401 T^{4} )^{2}$$)($$( 1 - 94 T^{2} + 2401 T^{4} )^{2}$$)($$( 1 + 12 T + 49 T^{2} )^{2}$$)($$( 1 + 8 T + 49 T^{2} )^{2}$$)($$( 1 + 4 T + 49 T^{2} )^{2}$$)($$( 1 + 49 T^{2} )^{2}$$)($$( 1 + 49 T^{2} )^{2}$$)($$( 1 - 4 T + 49 T^{2} )^{2}$$)($$( 1 - 8 T + 49 T^{2} )^{2}$$)($$( 1 - 12 T + 49 T^{2} )^{2}$$)($$( 1 - 7 T )( 1 + 7 T )$$)($$( 1 - 7 T )( 1 + 7 T )$$)($$( 1 - 7 T )( 1 + 7 T )$$)($$1 - 82 T^{2} + 2401 T^{4}$$)($$1 - 50 T^{2} + 2401 T^{4}$$)($$( 1 - 2 T + 49 T^{2} )( 1 + 2 T + 49 T^{2} )$$)($$1 - 34 T^{2} + 2401 T^{4}$$)($$1 - 82 T^{2} + 2401 T^{4}$$)($$1 - 50 T^{2} + 2401 T^{4}$$)($$1 - 68 T^{2} + 2886 T^{4} - 163268 T^{6} + 5764801 T^{8}$$)($$( 1 + 86 T^{2} + 2401 T^{4} )^{4}$$)($$( 1 - 10 T^{2} + 2401 T^{4} )^{4}$$)($$( 1 - 2 T + 87 T^{2} - 332 T^{3} + 4263 T^{4} - 4802 T^{5} + 117649 T^{6} )^{2}$$)($$( 1 + 84 T^{2} - 352 T^{3} + 3530 T^{4} - 17248 T^{5} + 201684 T^{6} + 5764801 T^{8} )^{4}$$)($$( 1 + 168 T^{2} + 448 T^{3} + 15076 T^{4} + 56512 T^{5} + 1070392 T^{6} + 3649664 T^{7} + 60103046 T^{8} + 178833536 T^{9} + 2570011192 T^{10} + 6648580288 T^{11} + 86910139876 T^{12} + 126548911552 T^{13} + 2325336249768 T^{14} + 33232930569601 T^{16} )^{2}$$)($$( 1 - 49 T^{2} + 2401 T^{4} )^{4}$$)($$1 - 6 T + 61 T^{2} - 294 T^{3} + 2401 T^{4}$$)($$1 + 6 T + 61 T^{2} + 294 T^{3} + 2401 T^{4}$$)($$1 + 73 T^{2} + 2928 T^{4} + 175273 T^{6} + 5764801 T^{8}$$)($$1 + 3 T + 82 T^{2} + 237 T^{3} + 2419 T^{4} + 21600 T^{5} + 116980 T^{6} + 2348256 T^{7} + 7641628 T^{8} + 115064544 T^{9} + 280868980 T^{10} + 2541218400 T^{11} + 13945053619 T^{12} + 66946634013 T^{13} + 1134985550482 T^{14} + 2034669218547 T^{15} + 33232930569601 T^{16}$$)($$1 + 97 T^{2} + 4381 T^{4} + 21922 T^{6} - 3075026 T^{8} + 52634722 T^{10} + 25255593181 T^{12} + 1342604858497 T^{14} + 33232930569601 T^{16}$$)($$1 - 3 T + 82 T^{2} - 237 T^{3} + 2419 T^{4} - 21600 T^{5} + 116980 T^{6} - 2348256 T^{7} + 7641628 T^{8} - 115064544 T^{9} + 280868980 T^{10} - 2541218400 T^{11} + 13945053619 T^{12} - 66946634013 T^{13} + 1134985550482 T^{14} - 2034669218547 T^{15} + 33232930569601 T^{16}$$)($$1 + 167 T^{2} + 13188 T^{4} + 535927 T^{6} + 4595825 T^{8} - 715412784 T^{10} - 48284089874 T^{12} - 2073288609886 T^{14} - 88693520972328 T^{16} - 4977965952336286 T^{18} - 278348169589725074 T^{20} - 9902233810610977584 T^{22} +$$$$15\!\cdots\!25$$$$T^{24} +$$$$42\!\cdots\!27$$$$T^{26} +$$$$25\!\cdots\!88$$$$T^{28} +$$$$76\!\cdots\!67$$$$T^{30} +$$$$11\!\cdots\!01$$$$T^{32}$$)($$1 + 71 T^{2} - 1559 T^{4} - 380226 T^{6} - 7322454 T^{8} + 1080558366 T^{10} + 55787006103 T^{12} - 1390698484983 T^{14} - 162453362866977 T^{16} + 1061981971939460 T^{18} + 389054792617594252 T^{20} + 2549818714626643460 T^{22} -$$$$93\!\cdots\!77$$$$T^{24} -$$$$19\!\cdots\!83$$$$T^{26} +$$$$18\!\cdots\!03$$$$T^{28} +$$$$86\!\cdots\!66$$$$T^{30} -$$$$14\!\cdots\!54$$$$T^{32} -$$$$17\!\cdots\!26$$$$T^{34} -$$$$17\!\cdots\!59$$$$T^{36} +$$$$18\!\cdots\!71$$$$T^{38} +$$$$63\!\cdots\!01$$$$T^{40}$$)($$( 1 - 13 T + 49 T^{2} )( 1 + 11 T + 49 T^{2} )$$)($$( 1 - 11 T + 49 T^{2} )( 1 + 13 T + 49 T^{2} )$$)($$1 - 6 T + 25 T^{2} + 522 T^{3} - 4044 T^{4} + 25578 T^{5} + 60025 T^{6} - 705894 T^{7} + 5764801 T^{8}$$)($$1 + T - 23 T^{2} - 74 T^{3} - 1874 T^{4} - 3626 T^{5} - 55223 T^{6} + 117649 T^{7} + 5764801 T^{8}$$)($$1 + 2 T - 41 T^{2} - 106 T^{3} - 572 T^{4} - 5194 T^{5} - 98441 T^{6} + 235298 T^{7} + 5764801 T^{8}$$)($$1 - 2 T - 41 T^{2} + 106 T^{3} - 572 T^{4} + 5194 T^{5} - 98441 T^{6} - 235298 T^{7} + 5764801 T^{8}$$)($$1 - T - 23 T^{2} + 74 T^{3} - 1874 T^{4} + 3626 T^{5} - 55223 T^{6} - 117649 T^{7} + 5764801 T^{8}$$)($$1 + 6 T + 25 T^{2} - 522 T^{3} - 4044 T^{4} - 25578 T^{5} + 60025 T^{6} + 705894 T^{7} + 5764801 T^{8}$$)($$1 - 6 T - 127 T^{2} + 714 T^{3} + 10213 T^{4} - 43992 T^{5} - 588922 T^{6} + 917052 T^{7} + 31082074 T^{8} + 44935548 T^{9} - 1414001722 T^{10} - 5175614808 T^{11} + 58875912613 T^{12} + 201687327786 T^{13} - 1757843474527 T^{14} - 4069338437094 T^{15} + 33232930569601 T^{16}$$)($$1 + 6 T - 127 T^{2} - 714 T^{3} + 10213 T^{4} + 43992 T^{5} - 588922 T^{6} - 917052 T^{7} + 31082074 T^{8} - 44935548 T^{9} - 1414001722 T^{10} + 5175614808 T^{11} + 58875912613 T^{12} - 201687327786 T^{13} - 1757843474527 T^{14} + 4069338437094 T^{15} + 33232930569601 T^{16}$$)
$11$ ($$( 1 + 50 T^{2} + 14641 T^{4} )^{2}$$)($$( 1 - 142 T^{2} + 14641 T^{4} )^{2}$$)($$( 1 + 121 T^{2} )^{4}$$)($$( 1 + 230 T^{2} + 14641 T^{4} )^{2}$$)($$( 1 + 50 T^{2} + 14641 T^{4} )^{2}$$)($$1 - 210 T^{2} + 14641 T^{4}$$)($$1 - 114 T^{2} + 14641 T^{4}$$)($$( 1 - 14 T + 121 T^{2} )( 1 + 14 T + 121 T^{2} )$$)($$( 1 - 11 T )^{2}( 1 + 11 T )^{2}$$)($$( 1 - 11 T )^{2}( 1 + 11 T )^{2}$$)($$( 1 - 14 T + 121 T^{2} )( 1 + 14 T + 121 T^{2} )$$)($$1 - 114 T^{2} + 14641 T^{4}$$)($$1 - 210 T^{2} + 14641 T^{4}$$)($$( 1 - 11 T )( 1 + 11 T )$$)($$( 1 - 11 T )( 1 + 11 T )$$)($$( 1 - 11 T )( 1 + 11 T )$$)($$1 + 14 T^{2} + 14641 T^{4}$$)($$1 - 194 T^{2} + 14641 T^{4}$$)($$( 1 - 11 T )^{2}( 1 + 11 T )^{2}$$)($$1 - 226 T^{2} + 14641 T^{4}$$)($$1 + 14 T^{2} + 14641 T^{4}$$)($$1 + 190 T^{2} + 14641 T^{4}$$)($$1 - 260 T^{2} + 33894 T^{4} - 3806660 T^{6} + 214358881 T^{8}$$)($$( 1 + 170 T^{2} + 14641 T^{4} )^{4}$$)($$( 1 + 170 T^{2} + 14641 T^{4} )^{4}$$)($$1 + 18 T + 162 T^{2} + 2146 T^{3} + 17759 T^{4} + 65756 T^{5} + 609308 T^{6} + 7956476 T^{7} + 260009519 T^{8} + 3801769906 T^{9} + 34726138722 T^{10} + 466873642818 T^{11} + 3138428376721 T^{12}$$)($$1 - 27832 T^{4} + 345241884 T^{8} - 1221720802824 T^{12} - 7510669490883642 T^{16} -$$$$26\!\cdots\!44$$$$T^{20} +$$$$15\!\cdots\!24$$$$T^{24} -$$$$27\!\cdots\!12$$$$T^{28} +$$$$21\!\cdots\!21$$$$T^{32}$$)($$1 - 32 T + 512 T^{2} - 8480 T^{3} + 137032 T^{4} - 1636576 T^{5} + 18165248 T^{6} - 219655136 T^{7} + 2263228700 T^{8} - 21867108000 T^{9} + 253620152832 T^{10} - 2916953293728 T^{11} + 33797606438392 T^{12} - 431768458252384 T^{13} + 5293166227138048 T^{14} - 61910274521995104 T^{15} + 703855220885889990 T^{16} - 7491143217161407584 T^{17} + 77497246731528160768 T^{18} -$$$$76\!\cdots\!24$$$$T^{19} +$$$$72\!\cdots\!52$$$$T^{20} -$$$$75\!\cdots\!28$$$$T^{21} +$$$$79\!\cdots\!72$$$$T^{22} -$$$$83\!\cdots\!00$$$$T^{23} +$$$$10\!\cdots\!00$$$$T^{24} -$$$$12\!\cdots\!16$$$$T^{25} +$$$$12\!\cdots\!48$$$$T^{26} -$$$$13\!\cdots\!96$$$$T^{27} +$$$$13\!\cdots\!12$$$$T^{28} -$$$$10\!\cdots\!80$$$$T^{29} +$$$$73\!\cdots\!72$$$$T^{30} -$$$$55\!\cdots\!32$$$$T^{31} +$$$$21\!\cdots\!21$$$$T^{32}$$)($$( 1 - 46 T^{2} + 14641 T^{4} )^{2}( 1 + 46 T^{2} - 12525 T^{4} + 673486 T^{6} + 214358881 T^{8} )$$)($$1 + 21 T + 268 T^{2} + 2541 T^{3} + 14641 T^{4}$$)($$1 - 21 T + 268 T^{2} - 2541 T^{3} + 14641 T^{4}$$)($$1 + 73 T^{2} - 9312 T^{4} + 1068793 T^{6} + 214358881 T^{8}$$)($$1 - 18 T + 448 T^{2} - 6120 T^{3} + 93463 T^{4} - 1253556 T^{5} + 16013428 T^{6} - 201806226 T^{7} + 2222076136 T^{8} - 24418553346 T^{9} + 234452599348 T^{10} - 2220750920916 T^{11} + 20034624094903 T^{12} - 158737038558120 T^{13} + 1406015912771008 T^{14} - 6835497004498338 T^{15} + 45949729863572161 T^{16}$$)($$( 1 + 107 T^{2} - 3192 T^{4} + 1566587 T^{6} + 214358881 T^{8} )^{2}$$)($$1 + 18 T + 448 T^{2} + 6120 T^{3} + 93463 T^{4} + 1253556 T^{5} + 16013428 T^{6} + 201806226 T^{7} + 2222076136 T^{8} + 24418553346 T^{9} + 234452599348 T^{10} + 2220750920916 T^{11} + 20034624094903 T^{12} + 158737038558120 T^{13} + 1406015912771008 T^{14} + 6835497004498338 T^{15} + 45949729863572161 T^{16}$$)($$1 + 524 T^{2} + 140094 T^{4} + 24486904 T^{6} + 2972860745 T^{8} + 215973352008 T^{10} - 2384433396482 T^{12} - 3310557806176204 T^{14} - 541778612591523276 T^{16} - 48469876840225802764 T^{18} -$$$$51\!\cdots\!42$$$$T^{20} +$$$$67\!\cdots\!68$$$$T^{22} +$$$$13\!\cdots\!45$$$$T^{24} +$$$$16\!\cdots\!04$$$$T^{26} +$$$$13\!\cdots\!54$$$$T^{28} +$$$$75\!\cdots\!44$$$$T^{30} +$$$$21\!\cdots\!21$$$$T^{32}$$)($$1 + 161 T^{2} - 8618 T^{4} - 614313 T^{6} + 391748106 T^{8} + 30978094479 T^{10} + 4350850184940 T^{12} + 780092148161775 T^{14} - 25307662965401475 T^{16} + 4790654345339444330 T^{18} +$$$$27\!\cdots\!72$$$$T^{20} +$$$$70\!\cdots\!30$$$$T^{22} -$$$$54\!\cdots\!75$$$$T^{24} +$$$$24\!\cdots\!75$$$$T^{26} +$$$$19\!\cdots\!40$$$$T^{28} +$$$$20\!\cdots\!79$$$$T^{30} +$$$$38\!\cdots\!46$$$$T^{32} -$$$$88\!\cdots\!53$$$$T^{34} -$$$$18\!\cdots\!78$$$$T^{36} +$$$$49\!\cdots\!21$$$$T^{38} +$$$$45\!\cdots\!01$$$$T^{40}$$)($$1 + 3 T + 124 T^{2} + 363 T^{3} + 14641 T^{4}$$)($$1 - 3 T + 124 T^{2} - 363 T^{3} + 14641 T^{4}$$)($$1 + 18 T + 249 T^{2} + 2538 T^{3} + 18308 T^{4} + 307098 T^{5} + 3645609 T^{6} + 31888098 T^{7} + 214358881 T^{8}$$)($$1 - 36 T + 683 T^{2} - 9036 T^{3} + 100632 T^{4} - 1093356 T^{5} + 9999803 T^{6} - 63776196 T^{7} + 214358881 T^{8}$$)($$1 - 18 T + 359 T^{2} - 4518 T^{3} + 61428 T^{4} - 546678 T^{5} + 5256119 T^{6} - 31888098 T^{7} + 214358881 T^{8}$$)($$1 + 18 T + 359 T^{2} + 4518 T^{3} + 61428 T^{4} + 546678 T^{5} + 5256119 T^{6} + 31888098 T^{7} + 214358881 T^{8}$$)($$1 + 36 T + 683 T^{2} + 9036 T^{3} + 100632 T^{4} + 1093356 T^{5} + 9999803 T^{6} + 63776196 T^{7} + 214358881 T^{8}$$)($$1 - 18 T + 249 T^{2} - 2538 T^{3} + 18308 T^{4} - 307098 T^{5} + 3645609 T^{6} - 31888098 T^{7} + 214358881 T^{8}$$)($$1 + 36 T + 828 T^{2} + 14256 T^{3} + 189103 T^{4} + 2029500 T^{5} + 18127476 T^{6} + 142796448 T^{7} + 1322450688 T^{8} + 17278370208 T^{9} + 265404376116 T^{10} + 3595383049500 T^{11} + 40535907473743 T^{12} + 369763925111856 T^{13} + 2598618695924988 T^{14} + 13670994008996676 T^{15} + 45949729863572161 T^{16}$$)($$1 - 36 T + 828 T^{2} - 14256 T^{3} + 189103 T^{4} - 2029500 T^{5} + 18127476 T^{6} - 142796448 T^{7} + 1322450688 T^{8} - 17278370208 T^{9} + 265404376116 T^{10} - 3595383049500 T^{11} + 40535907473743 T^{12} - 369763925111856 T^{13} + 2598618695924988 T^{14} - 13670994008996676 T^{15} + 45949729863572161 T^{16}$$)
$13$ ($$( 1 - 290 T^{2} + 28561 T^{4} )^{2}$$)($$( 1 - 13 T )^{4}( 1 + 13 T )^{4}$$)($$( 1 - 22 T + 169 T^{2} )^{2}( 1 + 22 T + 169 T^{2} )^{2}$$)($$( 1 - 290 T^{2} + 28561 T^{4} )^{2}$$)($$( 1 + 94 T^{2} + 28561 T^{4} )^{2}$$)($$( 1 - 8 T + 169 T^{2} )^{2}$$)($$( 1 - 8 T + 169 T^{2} )^{2}$$)($$( 1 + 8 T + 169 T^{2} )^{2}$$)($$( 1 + 24 T + 169 T^{2} )^{2}$$)($$( 1 - 24 T + 169 T^{2} )^{2}$$)($$( 1 + 8 T + 169 T^{2} )^{2}$$)($$( 1 - 8 T + 169 T^{2} )^{2}$$)($$( 1 - 8 T + 169 T^{2} )^{2}$$)($$1 - 10 T + 169 T^{2}$$)($$1 + 10 T + 169 T^{2}$$)($$1 - 10 T + 169 T^{2}$$)($$( 1 - 2 T + 169 T^{2} )^{2}$$)($$( 1 + 2 T + 169 T^{2} )^{2}$$)($$( 1 + 22 T + 169 T^{2} )^{2}$$)($$( 1 - 14 T + 169 T^{2} )^{2}$$)($$( 1 - 2 T + 169 T^{2} )^{2}$$)($$( 1 - 14 T + 169 T^{2} )^{2}$$)($$( 1 + 20 T + 246 T^{2} + 3380 T^{3} + 28561 T^{4} )^{2}$$)($$( 1 - 230 T^{2} + 28561 T^{4} )^{4}$$)($$( 1 - 230 T^{2} + 28561 T^{4} )^{4}$$)($$1 + 2 T + 2 T^{2} + 1554 T^{3} - 7825 T^{4} - 453380 T^{5} + 316348 T^{6} - 76621220 T^{7} - 223489825 T^{8} + 7500861186 T^{9} + 1631461442 T^{10} + 275716983698 T^{11} + 23298085122481 T^{12}$$)($$( 1 - 4352 T^{3} + 12636 T^{4} + 622336 T^{5} + 9469952 T^{6} - 45147648 T^{7} - 2135161210 T^{8} - 7629952512 T^{9} + 270471299072 T^{10} + 3003897005824 T^{11} + 10307573390556 T^{12} - 599960156526848 T^{13} + 665416609183179841 T^{16} )^{2}$$)($$1 + 3200 T^{3} + 7608 T^{4} + 95360 T^{5} + 5120000 T^{6} + 68335872 T^{7} + 2004669468 T^{8} + 7270355200 T^{9} + 184268595200 T^{10} + 4889456013184 T^{11} + 5354592144136 T^{12} + 669839496880000 T^{13} + 7008632866619392 T^{14} + 70586941744778752 T^{15} + 2398056097119178950 T^{16} + 11929193154867609088 T^{17} +$$$$20\!\cdots\!12$$$$T^{18} +$$$$32\!\cdots\!00$$$$T^{19} +$$$$43\!\cdots\!56$$$$T^{20} +$$$$67\!\cdots\!16$$$$T^{21} +$$$$42\!\cdots\!00$$$$T^{22} +$$$$28\!\cdots\!00$$$$T^{23} +$$$$13\!\cdots\!88$$$$T^{24} +$$$$76\!\cdots\!88$$$$T^{25} +$$$$97\!\cdots\!00$$$$T^{26} +$$$$30\!\cdots\!40$$$$T^{27} +$$$$41\!\cdots\!88$$$$T^{28} +$$$$29\!\cdots\!00$$$$T^{29} +$$$$44\!\cdots\!81$$$$T^{32}$$)($$( 1 - 13 T + 169 T^{2} )^{4}( 1 + 13 T + 169 T^{2} )^{4}$$)($$( 1 - T + 169 T^{2} )( 1 + 23 T + 169 T^{2} )$$)($$( 1 - T + 169 T^{2} )( 1 + 23 T + 169 T^{2} )$$)($$( 1 - 23 T + 169 T^{2} )^{2}( 1 + 22 T + 169 T^{2} )^{2}$$)($$1 + 5 T - 360 T^{2} + 1561 T^{3} + 77501 T^{4} - 597312 T^{5} - 5007086 T^{6} + 68136458 T^{7} + 60552144 T^{8} + 11515061402 T^{9} - 143007383246 T^{10} - 2883110937408 T^{11} + 63219946608221 T^{12} + 215197105776289 T^{13} - 8387310644093160 T^{14} + 19686881928496445 T^{15} + 665416609183179841 T^{16}$$)($$( 1 - 5 T - 83 T^{2} + 1150 T^{3} - 21122 T^{4} + 194350 T^{5} - 2370563 T^{6} - 24134045 T^{7} + 815730721 T^{8} )^{2}$$)($$1 + 5 T - 360 T^{2} + 1561 T^{3} + 77501 T^{4} - 597312 T^{5} - 5007086 T^{6} + 68136458 T^{7} + 60552144 T^{8} + 11515061402 T^{9} - 143007383246 T^{10} - 2883110937408 T^{11} + 63219946608221 T^{12} + 215197105776289 T^{13} - 8387310644093160 T^{14} + 19686881928496445 T^{15} + 665416609183179841 T^{16}$$)($$( 1 - 23 T - 276 T^{2} + 5009 T^{3} + 162641 T^{4} - 1572720 T^{5} - 34351730 T^{6} + 33339262 T^{7} + 8566506504 T^{8} + 5634335278 T^{9} - 981119760530 T^{10} - 7591219050480 T^{11} + 132671260194161 T^{12} + 690533185671641 T^{13} - 6430271493804756 T^{14} - 90559656871083647 T^{15} + 665416609183179841 T^{16} )^{2}$$)($$( 1 + 13 T - 455 T^{2} - 3966 T^{3} + 140154 T^{4} + 629106 T^{5} - 29246649 T^{6} - 43112661 T^{7} + 4766403183 T^{8} - 1066622372 T^{9} - 795369698036 T^{10} - 180259180868 T^{11} + 136133241309663 T^{12} - 208096580128749 T^{13} - 23857390075603929 T^{14} + 86727604373156994 T^{15} + 3265319822256202074 T^{16} - 15615634745683380174 T^{17} -$$$$30\!\cdots\!55$$$$T^{18} +$$$$14\!\cdots\!77$$$$T^{19} +$$$$19\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 4 T - 153 T^{2} + 676 T^{3} + 28561 T^{4}$$)($$1 + 4 T - 153 T^{2} + 676 T^{3} + 28561 T^{4}$$)($$1 - 14 T - 95 T^{2} + 658 T^{3} + 22996 T^{4} + 111202 T^{5} - 2713295 T^{6} - 67575326 T^{7} + 815730721 T^{8}$$)($$1 + 5 T - 245 T^{2} - 340 T^{3} + 40114 T^{4} - 57460 T^{5} - 6997445 T^{6} + 24134045 T^{7} + 815730721 T^{8}$$)($$1 - 10 T - 47 T^{2} + 1910 T^{3} - 23852 T^{4} + 322790 T^{5} - 1342367 T^{6} - 48268090 T^{7} + 815730721 T^{8}$$)($$1 - 10 T - 47 T^{2} + 1910 T^{3} - 23852 T^{4} + 322790 T^{5} - 1342367 T^{6} - 48268090 T^{7} + 815730721 T^{8}$$)($$1 + 5 T - 245 T^{2} - 340 T^{3} + 40114 T^{4} - 57460 T^{5} - 6997445 T^{6} + 24134045 T^{7} + 815730721 T^{8}$$)($$1 - 14 T - 95 T^{2} + 658 T^{3} + 22996 T^{4} + 111202 T^{5} - 2713295 T^{6} - 67575326 T^{7} + 815730721 T^{8}$$)($$1 + 14 T - 129 T^{2} - 1886 T^{3} + 9461 T^{4} + 158556 T^{5} + 4694986 T^{6} + 8508992 T^{7} - 1078024230 T^{8} + 1438019648 T^{9} + 134093495146 T^{10} + 765319527804 T^{11} + 7717628351381 T^{12} - 260001115627214 T^{13} - 3005452980800049 T^{14} + 55123269399790046 T^{15} + 665416609183179841 T^{16}$$)($$1 + 14 T - 129 T^{2} - 1886 T^{3} + 9461 T^{4} + 158556 T^{5} + 4694986 T^{6} + 8508992 T^{7} - 1078024230 T^{8} + 1438019648 T^{9} + 134093495146 T^{10} + 765319527804 T^{11} + 7717628351381 T^{12} - 260001115627214 T^{13} - 3005452980800049 T^{14} + 55123269399790046 T^{15} + 665416609183179841 T^{16}$$)
$17$ ($$( 1 + 30 T + 289 T^{2} )^{4}$$)($$( 1 + 289 T^{2} )^{4}$$)($$( 1 + 289 T^{2} )^{4}$$)($$( 1 - 6 T + 289 T^{2} )^{4}$$)($$( 1 - 18 T + 289 T^{2} )^{4}$$)($$1 - 480 T^{2} + 83521 T^{4}$$)($$1 - 416 T^{2} + 83521 T^{4}$$)($$1 - 416 T^{2} + 83521 T^{4}$$)($$1 + 480 T^{2} + 83521 T^{4}$$)($$1 - 480 T^{2} + 83521 T^{4}$$)($$1 - 416 T^{2} + 83521 T^{4}$$)($$1 - 416 T^{2} + 83521 T^{4}$$)($$1 - 480 T^{2} + 83521 T^{4}$$)($$1 + 16 T + 289 T^{2}$$)($$1 - 30 T + 289 T^{2}$$)($$1 - 16 T + 289 T^{2}$$)($$( 1 - 24 T + 289 T^{2} )^{2}$$)($$( 1 + 10 T + 289 T^{2} )^{2}$$)($$( 1 + 289 T^{2} )^{2}$$)($$( 1 + 18 T + 289 T^{2} )^{2}$$)($$( 1 + 24 T + 289 T^{2} )^{2}$$)($$( 1 - 6 T + 289 T^{2} )^{2}$$)($$( 1 - 12 T + 422 T^{2} - 3468 T^{3} + 83521 T^{4} )^{2}$$)($$( 1 - 416 T^{2} + 83521 T^{4} )^{4}$$)($$( 1 - 128 T^{2} + 83521 T^{4} )^{4}$$)($$( 1 - 2 T + 607 T^{2} + 388 T^{3} + 175423 T^{4} - 167042 T^{5} + 24137569 T^{6} )^{2}$$)($$( 1 + 1208 T^{2} + 806844 T^{4} + 368107656 T^{6} + 122826347526 T^{8} + 30744719536776 T^{10} + 5628348036726204 T^{12} + 703807662573551288 T^{14} + 48661191875666868481 T^{16} )^{2}$$)($$( 1 + 968 T^{2} + 2944 T^{3} + 516540 T^{4} + 3209600 T^{5} + 201700088 T^{6} + 1543904000 T^{7} + 63894476806 T^{8} + 446188256000 T^{9} + 16846193049848 T^{10} + 77471941462400 T^{11} + 3603257748574140 T^{12} + 5935086042921856 T^{13} + 563978325638408648 T^{14} + 48661191875666868481 T^{16} )^{2}$$)($$( 1 - 2 T - 285 T^{2} - 578 T^{3} + 83521 T^{4} )^{2}( 1 + 2 T - 285 T^{2} + 578 T^{3} + 83521 T^{4} )^{2}$$)($$( 1 + 11 T + 289 T^{2} )^{2}$$)($$( 1 + 11 T + 289 T^{2} )^{2}$$)($$( 1 + 24 T + 289 T^{2} )^{4}$$)($$( 1 - 3 T + 334 T^{2} - 693 T^{3} + 110178 T^{4} - 200277 T^{5} + 27896014 T^{6} - 72412707 T^{7} + 6975757441 T^{8} )^{2}$$)($$( 1 - 15 T + 608 T^{2} - 4335 T^{3} + 83521 T^{4} )^{4}$$)($$( 1 - 3 T + 334 T^{2} - 693 T^{3} + 110178 T^{4} - 200277 T^{5} + 27896014 T^{6} - 72412707 T^{7} + 6975757441 T^{8} )^{2}$$)($$( 1 - 3 T + 578 T^{2} - 6549 T^{3} + 169242 T^{4} - 1892661 T^{5} + 48275138 T^{6} - 72412707 T^{7} + 6975757441 T^{8} )^{4}$$)($$( 1 - 18 T + 1286 T^{2} - 17520 T^{3} + 694597 T^{4} - 7170636 T^{5} + 200738533 T^{6} - 1463287920 T^{7} + 31040913734 T^{8} - 125563633938 T^{9} + 2015993900449 T^{10} )^{4}$$)($$1 - 335 T^{2} + 83521 T^{4}$$)($$1 - 335 T^{2} + 83521 T^{4}$$)($$1 - 516 T^{2} + 135302 T^{4} - 43096836 T^{6} + 6975757441 T^{8}$$)($$1 - 769 T^{2} + 298176 T^{4} - 64227649 T^{6} + 6975757441 T^{8}$$)($$1 - 796 T^{2} + 294342 T^{4} - 66482716 T^{6} + 6975757441 T^{8}$$)($$1 - 796 T^{2} + 294342 T^{4} - 66482716 T^{6} + 6975757441 T^{8}$$)($$1 - 769 T^{2} + 298176 T^{4} - 64227649 T^{6} + 6975757441 T^{8}$$)($$1 - 516 T^{2} + 135302 T^{4} - 43096836 T^{6} + 6975757441 T^{8}$$)($$1 - 858 T^{2} + 505105 T^{4} - 204328674 T^{6} + 68217206628 T^{8} - 17065735181154 T^{10} + 3523489962236305 T^{12} - 499889879543134938 T^{14} + 48661191875666868481 T^{16}$$)($$1 - 858 T^{2} + 505105 T^{4} - 204328674 T^{6} + 68217206628 T^{8} - 17065735181154 T^{10} + 3523489962236305 T^{12} - 499889879543134938 T^{14} + 48661191875666868481 T^{16}$$)
$19$ ($$( 1 + 674 T^{2} + 130321 T^{4} )^{2}$$)($$( 1 + 361 T^{2} )^{4}$$)($$( 1 - 46 T^{2} + 130321 T^{4} )^{2}$$)($$( 1 + 134 T^{2} + 130321 T^{4} )^{2}$$)($$( 1 + 290 T^{2} + 130321 T^{4} )^{2}$$)($$( 1 + 16 T + 361 T^{2} )^{2}$$)($$( 1 - 32 T + 361 T^{2} )^{2}$$)($$( 1 - 16 T + 361 T^{2} )^{2}$$)($$( 1 + 361 T^{2} )^{2}$$)($$( 1 + 361 T^{2} )^{2}$$)($$( 1 + 16 T + 361 T^{2} )^{2}$$)($$( 1 + 32 T + 361 T^{2} )^{2}$$)($$( 1 - 16 T + 361 T^{2} )^{2}$$)($$( 1 - 19 T )( 1 + 19 T )$$)($$( 1 - 19 T )( 1 + 19 T )$$)($$( 1 - 19 T )( 1 + 19 T )$$)($$1 - 146 T^{2} + 130321 T^{4}$$)($$1 - 290 T^{2} + 130321 T^{4}$$)($$( 1 - 26 T + 361 T^{2} )( 1 + 26 T + 361 T^{2} )$$)($$1 - 578 T^{2} + 130321 T^{4}$$)($$1 - 146 T^{2} + 130321 T^{4}$$)($$1 - 674 T^{2} + 130321 T^{4}$$)($$1 - 196 T^{2} + 159654 T^{4} - 25542916 T^{6} + 16983563041 T^{8}$$)($$( 1 - 706 T^{2} + 130321 T^{4} )^{4}$$)($$( 1 - 322 T^{2} + 130321 T^{4} )^{4}$$)($$1 + 30 T + 450 T^{2} + 12014 T^{3} + 441215 T^{4} + 8004292 T^{5} + 113750108 T^{6} + 2889549412 T^{7} + 57499580015 T^{8} + 565209214334 T^{9} + 7642603368450 T^{10} + 183931987734030 T^{11} + 2213314919066161 T^{12}$$)($$( 1 - 16 T + 128 T^{2} + 7984 T^{3} - 156764 T^{4} - 603504 T^{5} + 61593984 T^{6} - 384035120 T^{7} + 7522568070 T^{8} - 138636678320 T^{9} + 8026989588864 T^{10} - 28392377367024 T^{11} - 2662411276559324 T^{12} + 48950433002283184 T^{13} + 283304309640468608 T^{14} - 12784106972526145936 T^{15} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 - 32 T + 512 T^{2} + 2656 T^{3} - 523448 T^{4} + 8424608 T^{5} + 1945088 T^{6} - 4454446304 T^{7} + 107916937244 T^{8} + 703649376 T^{9} - 30601835632128 T^{10} + 698985761087712 T^{11} + 998616856187896 T^{12} - 253693358084547040 T^{13} + 3161998119961945600 T^{14} + 30474951661580761248 T^{15} -$$$$19\!\cdots\!42$$$$T^{16} +$$$$11\!\cdots\!28$$$$T^{17} +$$$$41\!\cdots\!00$$$$T^{18} -$$$$11\!\cdots\!40$$$$T^{19} +$$$$16\!\cdots\!36$$$$T^{20} +$$$$42\!\cdots\!12$$$$T^{21} -$$$$67\!\cdots\!08$$$$T^{22} +$$$$56\!\cdots\!96$$$$T^{23} +$$$$31\!\cdots\!64$$$$T^{24} -$$$$46\!\cdots\!64$$$$T^{25} +$$$$73\!\cdots\!88$$$$T^{26} +$$$$11\!\cdots\!88$$$$T^{27} -$$$$25\!\cdots\!08$$$$T^{28} +$$$$46\!\cdots\!36$$$$T^{29} +$$$$32\!\cdots\!92$$$$T^{30} -$$$$73\!\cdots\!32$$$$T^{31} +$$$$83\!\cdots\!61$$$$T^{32}$$)($$( 1 - 434 T^{2} + 58035 T^{4} - 56559314 T^{6} + 16983563041 T^{8} )^{2}$$)($$1 - 479 T^{2} + 130321 T^{4}$$)($$1 - 479 T^{2} + 130321 T^{4}$$)($$( 1 - 146 T^{2} + 130321 T^{4} )^{2}$$)($$1 - 1157 T^{2} + 639226 T^{4} - 232952123 T^{6} + 79410905002 T^{8} - 30358553621483 T^{10} + 10856335068446266 T^{12} - 2560805361359548277 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$( 1 - 589 T^{2} + 294216 T^{4} - 76759069 T^{6} + 16983563041 T^{8} )^{2}$$)($$1 - 1157 T^{2} + 639226 T^{4} - 232952123 T^{6} + 79410905002 T^{8} - 30358553621483 T^{10} + 10856335068446266 T^{12} - 2560805361359548277 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$( 1 - 1673 T^{2} + 1559890 T^{4} - 937716023 T^{6} + 401371470970 T^{8} - 122204089833383 T^{10} + 26492490152025490 T^{12} - 3702875859597687353 T^{14} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 1492 T^{2} + 1234710 T^{4} - 697878774 T^{6} + 310375401081 T^{8} - 118262158858188 T^{10} + 40448432644277001 T^{12} - 11852468153204791734 T^{14} +$$$$27\!\cdots\!10$$$$T^{16} -$$$$43\!\cdots\!52$$$$T^{18} +$$$$37\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 11 T + 361 T^{2} )^{2}$$)($$( 1 + 11 T + 361 T^{2} )^{2}$$)($$( 1 - 4 T + 342 T^{2} - 1444 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 + T + 648 T^{2} + 361 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 + 20 T + 606 T^{2} + 7220 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 - 20 T + 606 T^{2} - 7220 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 - T + 648 T^{2} - 361 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 + 4 T + 342 T^{2} + 1444 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 + 2 T + 265 T^{2} + 6170 T^{3} + 157036 T^{4} + 2227370 T^{5} + 34535065 T^{6} + 94091762 T^{7} + 16983563041 T^{8} )^{2}$$)($$( 1 - 2 T + 265 T^{2} - 6170 T^{3} + 157036 T^{4} - 2227370 T^{5} + 34535065 T^{6} - 94091762 T^{7} + 16983563041 T^{8} )^{2}$$)
$23$ ($$( 1 - 914 T^{2} + 279841 T^{4} )^{2}$$)($$( 1 - 23 T )^{4}( 1 + 23 T )^{4}$$)($$( 1 - 23 T )^{4}( 1 + 23 T )^{4}$$)($$( 1 - 482 T^{2} + 279841 T^{4} )^{2}$$)($$( 1 + 238 T^{2} + 279841 T^{4} )^{2}$$)($$1 + 510 T^{2} + 279841 T^{4}$$)($$1 + 94 T^{2} + 279841 T^{4}$$)($$1 - 770 T^{2} + 279841 T^{4}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$1 - 770 T^{2} + 279841 T^{4}$$)($$1 + 94 T^{2} + 279841 T^{4}$$)($$1 + 510 T^{2} + 279841 T^{4}$$)($$( 1 - 23 T )( 1 + 23 T )$$)($$( 1 - 23 T )( 1 + 23 T )$$)($$( 1 - 23 T )( 1 + 23 T )$$)($$1 - 34 T^{2} + 279841 T^{4}$$)($$1 - 290 T^{2} + 279841 T^{4}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$1 + 542 T^{2} + 279841 T^{4}$$)($$1 - 34 T^{2} + 279841 T^{4}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$( 1 - 994 T^{2} + 279841 T^{4} )^{2}$$)($$( 1 + 118 T^{2} + 279841 T^{4} )^{4}$$)($$( 1 - 842 T^{2} + 279841 T^{4} )^{4}$$)($$( 1 - 30 T + 1751 T^{2} - 30772 T^{3} + 926279 T^{4} - 8395230 T^{5} + 148035889 T^{6} )^{2}$$)($$( 1 + 2600 T^{2} + 3157852 T^{4} + 2464614168 T^{6} + 1453801462342 T^{8} + 689700093387288 T^{10} + 247294501491576412 T^{12} + 56978023523252834600 T^{14} +$$$$61\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 64 T + 3496 T^{2} + 127936 T^{3} + 4410332 T^{4} + 130001728 T^{5} + 3673719192 T^{6} + 94049622208 T^{7} + 2261818535238 T^{8} + 49752250148032 T^{9} + 1028057252408472 T^{10} + 19244921376016192 T^{11} + 345377444336323292 T^{12} + 5299942138629398464 T^{13} + 76613527014343042216 T^{14} +$$$$74\!\cdots\!76$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 23 T + 529 T^{2} )^{4}( 1 + 23 T + 529 T^{2} )^{4}$$)($$1 + 42 T + 1117 T^{2} + 22218 T^{3} + 279841 T^{4}$$)($$1 - 42 T + 1117 T^{2} - 22218 T^{3} + 279841 T^{4}$$)($$1 + 889 T^{2} + 510480 T^{4} + 248778649 T^{6} + 78310985281 T^{8}$$)($$1 - 81 T + 4870 T^{2} - 217323 T^{3} + 8414383 T^{4} - 278460504 T^{5} + 8325324592 T^{6} - 221238967356 T^{7} + 5380294547716 T^{8} - 117035413731324 T^{9} + 2329767159149872 T^{10} - 41222148261028056 T^{11} + 658938623261696623 T^{12} - 9002933696483841627 T^{13} +$$$$10\!\cdots\!70$$$$T^{14} -$$$$93\!\cdots\!29$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 - 503 T^{2} - 197699 T^{4} + 54813922 T^{6} + 54024424414 T^{8} + 15339182746402 T^{10} - 15482003479068419 T^{12} - 11023056089306221463 T^{14} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 + 81 T + 4870 T^{2} + 217323 T^{3} + 8414383 T^{4} + 278460504 T^{5} + 8325324592 T^{6} + 221238967356 T^{7} + 5380294547716 T^{8} + 117035413731324 T^{9} + 2329767159149872 T^{10} + 41222148261028056 T^{11} + 658938623261696623 T^{12} + 9002933696483841627 T^{13} +$$$$10\!\cdots\!70$$$$T^{14} +$$$$93\!\cdots\!29$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 + 2687 T^{2} + 3719652 T^{4} + 3461634655 T^{6} + 2442367009985 T^{8} + 1429403163693456 T^{10} + 759315200173466974 T^{12} +$$$$39\!\cdots\!18$$$$T^{14} +$$$$20\!\cdots\!24$$$$T^{16} +$$$$11\!\cdots\!38$$$$T^{18} +$$$$59\!\cdots\!94$$$$T^{20} +$$$$31\!\cdots\!76$$$$T^{22} +$$$$14\!\cdots\!85$$$$T^{24} +$$$$59\!\cdots\!55$$$$T^{26} +$$$$17\!\cdots\!32$$$$T^{28} +$$$$36\!\cdots\!47$$$$T^{30} +$$$$37\!\cdots\!21$$$$T^{32}$$)($$1 + 2903 T^{2} + 4381369 T^{4} + 4145858478 T^{6} + 2563217895306 T^{8} + 892802008157646 T^{10} + 10191503237603367 T^{12} -$$$$14\!\cdots\!95$$$$T^{14} -$$$$15\!\cdots\!45$$$$T^{16} +$$$$64\!\cdots\!64$$$$T^{18} +$$$$54\!\cdots\!92$$$$T^{20} +$$$$18\!\cdots\!24$$$$T^{22} -$$$$12\!\cdots\!45$$$$T^{24} -$$$$30\!\cdots\!95$$$$T^{26} +$$$$62\!\cdots\!87$$$$T^{28} +$$$$15\!\cdots\!46$$$$T^{30} +$$$$12\!\cdots\!46$$$$T^{32} +$$$$55\!\cdots\!18$$$$T^{34} +$$$$16\!\cdots\!49$$$$T^{36} +$$$$30\!\cdots\!83$$$$T^{38} +$$$$29\!\cdots\!01$$$$T^{40}$$)($$1 - 48 T + 1297 T^{2} - 25392 T^{3} + 279841 T^{4}$$)($$1 + 48 T + 1297 T^{2} + 25392 T^{3} + 279841 T^{4}$$)($$1 + 30 T + 1401 T^{2} + 33030 T^{3} + 1091060 T^{4} + 17472870 T^{5} + 392057241 T^{6} + 4441076670 T^{7} + 78310985281 T^{8}$$)($$1 - 99 T + 5117 T^{2} - 183150 T^{3} + 4870902 T^{4} - 96886350 T^{5} + 1431946397 T^{6} - 14655553011 T^{7} + 78310985281 T^{8}$$)($$1 + 18 T + 1175 T^{2} + 19206 T^{3} + 915780 T^{4} + 10159974 T^{5} + 328813175 T^{6} + 2664646002 T^{7} + 78310985281 T^{8}$$)($$1 - 18 T + 1175 T^{2} - 19206 T^{3} + 915780 T^{4} - 10159974 T^{5} + 328813175 T^{6} - 2664646002 T^{7} + 78310985281 T^{8}$$)($$1 + 99 T + 5117 T^{2} + 183150 T^{3} + 4870902 T^{4} + 96886350 T^{5} + 1431946397 T^{6} + 14655553011 T^{7} + 78310985281 T^{8}$$)($$1 - 30 T + 1401 T^{2} - 33030 T^{3} + 1091060 T^{4} - 17472870 T^{5} + 392057241 T^{6} - 4441076670 T^{7} + 78310985281 T^{8}$$)($$1 + 102 T + 6033 T^{2} + 261630 T^{3} + 9057109 T^{4} + 271036392 T^{5} + 7331036166 T^{6} + 184354538700 T^{7} + 4374045926298 T^{8} + 97523550972300 T^{9} + 2051524491729606 T^{10} + 40123113241072488 T^{11} + 709271129587412629 T^{12} + 10838418128826987870 T^{13} +$$$$13\!\cdots\!93$$$$T^{14} +$$$$11\!\cdots\!18$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 - 102 T + 6033 T^{2} - 261630 T^{3} + 9057109 T^{4} - 271036392 T^{5} + 7331036166 T^{6} - 184354538700 T^{7} + 4374045926298 T^{8} - 97523550972300 T^{9} + 2051524491729606 T^{10} - 40123113241072488 T^{11} + 709271129587412629 T^{12} - 10838418128826987870 T^{13} +$$$$13\!\cdots\!93$$$$T^{14} -$$$$11\!\cdots\!18$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16}$$)
$29$ ($$( 1 + 1018 T^{2} + 707281 T^{4} )^{2}$$)($$( 1 - 50 T + 841 T^{2} )^{2}( 1 + 50 T + 841 T^{2} )^{2}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 1250 T^{2} + 707281 T^{4} )^{2}$$)($$( 1 - 710 T^{2} + 707281 T^{4} )^{2}$$)($$1 - 800 T^{2} + 707281 T^{4}$$)($$1 + 240 T^{2} + 707281 T^{4}$$)($$1 - 1664 T^{2} + 707281 T^{4}$$)($$1 - 1680 T^{2} + 707281 T^{4}$$)($$1 + 1680 T^{2} + 707281 T^{4}$$)($$1 - 1664 T^{2} + 707281 T^{4}$$)($$1 + 240 T^{2} + 707281 T^{4}$$)($$1 - 800 T^{2} + 707281 T^{4}$$)($$1 - 40 T + 841 T^{2}$$)($$1 - 42 T + 841 T^{2}$$)($$1 + 40 T + 841 T^{2}$$)($$( 1 + 44 T + 841 T^{2} )^{2}$$)($$( 1 + 26 T + 841 T^{2} )^{2}$$)($$( 1 + 841 T^{2} )^{2}$$)($$( 1 + 14 T + 841 T^{2} )^{2}$$)($$( 1 - 44 T + 841 T^{2} )^{2}$$)($$( 1 - 30 T + 841 T^{2} )^{2}$$)($$( 1 + 20 T + 1734 T^{2} + 16820 T^{3} + 707281 T^{4} )^{2}$$)($$( 1 - 484 T^{2} + 707281 T^{4} )^{4}$$)($$( 1 + 332 T^{2} + 707281 T^{4} )^{4}$$)($$1 - 18 T + 162 T^{2} + 4894 T^{3} + 124463 T^{4} - 24625372 T^{5} + 435069308 T^{6} - 20709937852 T^{7} + 88030315103 T^{8} + 2911065332974 T^{9} + 81039918899682 T^{10} - 7572730199403618 T^{11} + 353814783205469041 T^{12}$$)($$1 - 1812568 T^{4} + 855482597340 T^{8} + 905028609054258072 T^{12} -$$$$12\!\cdots\!34$$$$T^{16} +$$$$45\!\cdots\!92$$$$T^{20} +$$$$21\!\cdots\!40$$$$T^{24} -$$$$22\!\cdots\!08$$$$T^{28} +$$$$62\!\cdots\!41$$$$T^{32}$$)($$1 + 32 T + 512 T^{2} - 18368 T^{3} - 1552984 T^{4} - 20596992 T^{5} + 304715776 T^{6} + 25469097376 T^{7} + 491466517980 T^{8} - 9791032230816 T^{9} - 347423504794624 T^{10} - 2649303176415616 T^{11} + 694517140133881240 T^{12} + 20658732330776531008 T^{13} +$$$$19\!\cdots\!28$$$$T^{14} -$$$$11\!\cdots\!40$$$$T^{15} -$$$$82\!\cdots\!10$$$$T^{16} -$$$$96\!\cdots\!40$$$$T^{17} +$$$$13\!\cdots\!68$$$$T^{18} +$$$$12\!\cdots\!68$$$$T^{19} +$$$$34\!\cdots\!40$$$$T^{20} -$$$$11\!\cdots\!16$$$$T^{21} -$$$$12\!\cdots\!84$$$$T^{22} -$$$$29\!\cdots\!96$$$$T^{23} +$$$$12\!\cdots\!80$$$$T^{24} +$$$$53\!\cdots\!36$$$$T^{25} +$$$$53\!\cdots\!76$$$$T^{26} -$$$$30\!\cdots\!72$$$$T^{27} -$$$$19\!\cdots\!04$$$$T^{28} -$$$$19\!\cdots\!28$$$$T^{29} +$$$$45\!\cdots\!32$$$$T^{30} +$$$$23\!\cdots\!32$$$$T^{31} +$$$$62\!\cdots\!41$$$$T^{32}$$)($$( 1 - 841 T^{2} + 707281 T^{4} )^{4}$$)($$1 - 34 T + 315 T^{2} - 28594 T^{3} + 707281 T^{4}$$)($$1 - 34 T + 315 T^{2} - 28594 T^{3} + 707281 T^{4}$$)($$( 1 + 55 T + 2184 T^{2} + 46255 T^{3} + 707281 T^{4} )^{2}$$)($$1 + 69 T + 1976 T^{2} + 82905 T^{3} + 2728573 T^{4} + 24459264 T^{5} + 249830930 T^{6} - 10215187926 T^{7} - 1249058812400 T^{8} - 8590973045766 T^{9} + 176700670001330 T^{10} + 14548940641695744 T^{11} + 1364958855752234653 T^{12} + 34878733176753163905 T^{13} +$$$$69\!\cdots\!16$$$$T^{14} +$$$$20\!\cdots\!89$$$$T^{15} +$$$$25\!\cdots\!21$$$$T^{16}$$)($$( 1 - 33 T - 839 T^{2} - 8118 T^{3} + 2094054 T^{4} - 6827238 T^{5} - 593408759 T^{6} - 19629169593 T^{7} + 500246412961 T^{8} )^{2}$$)($$1 + 69 T + 1976 T^{2} + 82905 T^{3} + 2728573 T^{4} + 24459264 T^{5} + 249830930 T^{6} - 10215187926 T^{7} - 1249058812400 T^{8} - 8590973045766 T^{9} + 176700670001330 T^{10} + 14548940641695744 T^{11} + 1364958855752234653 T^{12} + 34878733176753163905 T^{13} +$$$$69\!\cdots\!16$$$$T^{14} +$$$$20\!\cdots\!89$$$$T^{15} +$$$$25\!\cdots\!21$$$$T^{16}$$)($$( 1 + 21 T - 2432 T^{2} - 19167 T^{3} + 4062037 T^{4} + 6623136 T^{5} - 4703569190 T^{6} - 3469324686 T^{7} + 4129311885376 T^{8} - 2917702060926 T^{9} - 3326745120272390 T^{10} + 3939595750954656 T^{11} + 2032019438564861557 T^{12} - 8063695540664952567 T^{13} -$$$$86\!\cdots\!12$$$$T^{14} +$$$$62\!\cdots\!01$$$$T^{15} +$$$$25\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 67 T - 263 T^{2} + 28290 T^{3} + 3909930 T^{4} - 64491294 T^{5} - 4122197481 T^{6} + 29409170523 T^{7} + 2871371389791 T^{8} + 36067449193196 T^{9} - 4141154644731476 T^{10} + 30332724771477836 T^{11} + 2030866427942768271 T^{12} + 17493260478346166883 T^{13} -$$$$20\!\cdots\!41$$$$T^{14} -$$$$27\!\cdots\!94$$$$T^{15} +$$$$13\!\cdots\!30$$$$T^{16} +$$$$84\!\cdots\!90$$$$T^{17} -$$$$65\!\cdots\!23$$$$T^{18} -$$$$14\!\cdots\!87$$$$T^{19} +$$$$17\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 78 T + 2869 T^{2} + 65598 T^{3} + 707281 T^{4}$$)($$1 + 78 T + 2869 T^{2} + 65598 T^{3} + 707281 T^{4}$$)($$1 + 6 T + 1409 T^{2} + 8382 T^{3} + 1254420 T^{4} + 7049262 T^{5} + 996558929 T^{6} + 3568939926 T^{7} + 500246412961 T^{8}$$)($$1 - 63 T + 2123 T^{2} - 50400 T^{3} + 1045362 T^{4} - 42386400 T^{5} + 1501557563 T^{6} - 37473869223 T^{7} + 500246412961 T^{8}$$)($$1 + 18 T + 1745 T^{2} + 29466 T^{3} + 2063316 T^{4} + 24780906 T^{5} + 1234205345 T^{6} + 10706819778 T^{7} + 500246412961 T^{8}$$)($$1 + 18 T + 1745 T^{2} + 29466 T^{3} + 2063316 T^{4} + 24780906 T^{5} + 1234205345 T^{6} + 10706819778 T^{7} + 500246412961 T^{8}$$)($$1 - 63 T + 2123 T^{2} - 50400 T^{3} + 1045362 T^{4} - 42386400 T^{5} + 1501557563 T^{6} - 37473869223 T^{7} + 500246412961 T^{8}$$)($$1 + 6 T + 1409 T^{2} + 8382 T^{3} + 1254420 T^{4} + 7049262 T^{5} + 996558929 T^{6} + 3568939926 T^{7} + 500246412961 T^{8}$$)($$1 - 114 T + 8599 T^{2} - 486438 T^{3} + 22645933 T^{4} - 890300916 T^{5} + 31365917458 T^{6} - 1000841966952 T^{7} + 29952505780714 T^{8} - 841708094206632 T^{9} + 22184517465611698 T^{10} - 529571747544462036 T^{11} + 11328546751405137613 T^{12} -$$$$20\!\cdots\!38$$$$T^{13} +$$$$30\!\cdots\!59$$$$T^{14} -$$$$33\!\cdots\!34$$$$T^{15} +$$$$25\!\cdots\!21$$$$T^{16}$$)($$1 - 114 T + 8599 T^{2} - 486438 T^{3} + 22645933 T^{4} - 890300916 T^{5} + 31365917458 T^{6} - 1000841966952 T^{7} + 29952505780714 T^{8} - 841708094206632 T^{9} + 22184517465611698 T^{10} - 529571747544462036 T^{11} + 11328546751405137613 T^{12} -$$$$20\!\cdots\!38$$$$T^{13} +$$$$30\!\cdots\!59$$$$T^{14} -$$$$33\!\cdots\!34$$$$T^{15} +$$$$25\!\cdots\!21$$$$T^{16}$$)
$31$ ($$( 1 - 1726 T^{2} + 923521 T^{4} )^{2}$$)($$( 1 - 478 T^{2} + 923521 T^{4} )^{2}$$)($$( 1 + 194 T^{2} + 923521 T^{4} )^{2}$$)($$( 1 - 898 T^{2} + 923521 T^{4} )^{2}$$)($$( 1 - 1438 T^{2} + 923521 T^{4} )^{2}$$)($$( 1 - 4 T + 961 T^{2} )^{2}$$)($$( 1 + 40 T + 961 T^{2} )^{2}$$)($$( 1 - 44 T + 961 T^{2} )^{2}$$)($$( 1 + 961 T^{2} )^{2}$$)($$( 1 + 961 T^{2} )^{2}$$)($$( 1 + 44 T + 961 T^{2} )^{2}$$)($$( 1 - 40 T + 961 T^{2} )^{2}$$)($$( 1 + 4 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T )( 1 + 31 T )$$)($$( 1 - 31 T )( 1 + 31 T )$$)($$( 1 - 31 T )( 1 + 31 T )$$)($$1 + 782 T^{2} + 923521 T^{4}$$)($$1 - 1874 T^{2} + 923521 T^{4}$$)($$( 1 - 46 T + 961 T^{2} )( 1 + 46 T + 961 T^{2} )$$)($$1 - 898 T^{2} + 923521 T^{4}$$)($$1 + 782 T^{2} + 923521 T^{4}$$)($$1 - 1490 T^{2} + 923521 T^{4}$$)($$1 - 1412 T^{2} + 2268678 T^{4} - 1304011652 T^{6} + 852891037441 T^{8}$$)($$( 1 + 470 T^{2} + 923521 T^{4} )^{4}$$)($$( 1 - 778 T^{2} + 923521 T^{4} )^{4}$$)($$1 - 3846 T^{2} + 7131791 T^{4} - 8361808916 T^{6} + 6586358756111 T^{8} - 3280218929998086 T^{10} + 787662783788549761 T^{12}$$)($$( 1 - 3656 T^{2} + 7444644 T^{4} - 10749322008 T^{6} + 11704860550022 T^{8} - 9927224610150168 T^{10} + 6349470144538916004 T^{12} -$$$$28\!\cdots\!16$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 - 7312 T^{2} + 29025544 T^{4} - 80335806576 T^{6} + 171125889681052 T^{8} - 295006946315669072 T^{10} +$$$$42\!\cdots\!64$$$$T^{12} -$$$$51\!\cdots\!00$$$$T^{14} +$$$$53\!\cdots\!38$$$$T^{16} -$$$$47\!\cdots\!00$$$$T^{18} +$$$$36\!\cdots\!24$$$$T^{20} -$$$$23\!\cdots\!92$$$$T^{22} +$$$$12\!\cdots\!12$$$$T^{24} -$$$$53\!\cdots\!76$$$$T^{26} +$$$$18\!\cdots\!24$$$$T^{28} -$$$$41\!\cdots\!92$$$$T^{30} +$$$$52\!\cdots\!61$$$$T^{32}$$)($$( 1 - 961 T^{2} + 923521 T^{4} )^{4}$$)($$1 + 12 T + 1009 T^{2} + 11532 T^{3} + 923521 T^{4}$$)($$1 - 12 T + 1009 T^{2} - 11532 T^{3} + 923521 T^{4}$$)($$1 + 1561 T^{2} + 1513200 T^{4} + 1441616281 T^{6} + 852891037441 T^{8}$$)($$1 + 45 T + 3520 T^{2} + 128025 T^{3} + 6239425 T^{4} + 221987952 T^{5} + 7979134318 T^{6} + 268603930890 T^{7} + 8040333650992 T^{8} + 258128377585290 T^{9} + 7368898104493678 T^{10} + 197015124537651312 T^{11} + 5321549661285311425 T^{12} +$$$$10\!\cdots\!25$$$$T^{13} +$$$$27\!\cdots\!20$$$$T^{14} +$$$$34\!\cdots\!45$$$$T^{15} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 - 251 T^{2} + 804865 T^{4} + 649815406 T^{6} - 360711589466 T^{8} + 600118173564526 T^{10} + 686462144849950465 T^{12} -$$$$19\!\cdots\!11$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 - 45 T + 3520 T^{2} - 128025 T^{3} + 6239425 T^{4} - 221987952 T^{5} + 7979134318 T^{6} - 268603930890 T^{7} + 8040333650992 T^{8} - 258128377585290 T^{9} + 7368898104493678 T^{10} - 197015124537651312 T^{11} + 5321549661285311425 T^{12} -$$$$10\!\cdots\!25$$$$T^{13} +$$$$27\!\cdots\!20$$$$T^{14} -$$$$34\!\cdots\!45$$$$T^{15} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 4715 T^{2} + 10729584 T^{4} + 17585852527 T^{6} + 25170831884477 T^{8} + 32193274685973408 T^{10} + 37136398859226646834 T^{12} +$$$$40\!\cdots\!98$$$$T^{14} +$$$$41\!\cdots\!28$$$$T^{16} +$$$$37\!\cdots\!58$$$$T^{18} +$$$$31\!\cdots\!94$$$$T^{20} +$$$$25\!\cdots\!88$$$$T^{22} +$$$$18\!\cdots\!37$$$$T^{24} +$$$$11\!\cdots\!27$$$$T^{26} +$$$$66\!\cdots\!64$$$$T^{28} +$$$$27\!\cdots\!15$$$$T^{30} +$$$$52\!\cdots\!61$$$$T^{32}$$)($$1 + 5855 T^{2} + 17621953 T^{4} + 35395233366 T^{6} + 52708096331178 T^{8} + 61639250197638534 T^{10} + 59263964099253220479 T^{12} +$$$$49\!\cdots\!29$$$$T^{14} +$$$$39\!\cdots\!47$$$$T^{16} +$$$$32\!\cdots\!00$$$$T^{18} +$$$$29\!\cdots\!92$$$$T^{20} +$$$$30\!\cdots\!00$$$$T^{22} +$$$$33\!\cdots\!27$$$$T^{24} +$$$$39\!\cdots\!69$$$$T^{26} +$$$$43\!\cdots\!99$$$$T^{28} +$$$$41\!\cdots\!34$$$$T^{30} +$$$$32\!\cdots\!38$$$$T^{32} +$$$$20\!\cdots\!06$$$$T^{34} +$$$$93\!\cdots\!33$$$$T^{36} +$$$$28\!\cdots\!55$$$$T^{38} +$$$$45\!\cdots\!01$$$$T^{40}$$)($$1 - 32 T + 63 T^{2} - 30752 T^{3} + 923521 T^{4}$$)($$1 + 32 T + 63 T^{2} + 30752 T^{3} + 923521 T^{4}$$)($$1 + 74 T + 2281 T^{2} + 94202 T^{3} + 4022068 T^{4} + 90528122 T^{5} + 2106551401 T^{6} + 65675272394 T^{7} + 852891037441 T^{8}$$)($$1 + 7 T - 1217 T^{2} - 4592 T^{3} + 632146 T^{4} - 4412912 T^{5} - 1123925057 T^{6} + 6212525767 T^{7} + 852891037441 T^{8}$$)($$1 + 38 T - 353 T^{2} - 4750 T^{3} + 918004 T^{4} - 4564750 T^{5} - 326002913 T^{6} + 33725139878 T^{7} + 852891037441 T^{8}$$)($$1 - 38 T - 353 T^{2} + 4750 T^{3} + 918004 T^{4} + 4564750 T^{5} - 326002913 T^{6} - 33725139878 T^{7} + 852891037441 T^{8}$$)($$1 - 7 T - 1217 T^{2} + 4592 T^{3} + 632146 T^{4} + 4412912 T^{5} - 1123925057 T^{6} - 6212525767 T^{7} + 852891037441 T^{8}$$)($$1 - 74 T + 2281 T^{2} - 94202 T^{3} + 4022068 T^{4} - 90528122 T^{5} + 2106551401 T^{6} - 65675272394 T^{7} + 852891037441 T^{8}$$)($$1 + 50 T - 651 T^{2} - 68990 T^{3} - 334663 T^{4} + 5769840 T^{5} - 1286987822 T^{6} + 24925573940 T^{7} + 3245120663634 T^{8} + 23953476556340 T^{9} - 1188560280361262 T^{10} + 5120754238781040 T^{11} - 285431073263117383 T^{12} - 56546155518805460990 T^{13} -$$$$51\!\cdots\!11$$$$T^{14} +$$$$37\!\cdots\!50$$$$T^{15} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 - 50 T - 651 T^{2} + 68990 T^{3} - 334663 T^{4} - 5769840 T^{5} - 1286987822 T^{6} - 24925573940 T^{7} + 3245120663634 T^{8} - 23953476556340 T^{9} - 1188560280361262 T^{10} - 5120754238781040 T^{11} - 285431073263117383 T^{12} + 56546155518805460990 T^{13} -$$$$51\!\cdots\!11$$$$T^{14} -$$$$37\!\cdots\!50$$$$T^{15} +$$$$72\!\cdots\!81$$$$T^{16}$$)
$37$ ($$( 1 + 334 T^{2} + 1874161 T^{4} )^{2}$$)($$( 1 - 37 T )^{4}( 1 + 37 T )^{4}$$)($$( 1 - 26 T + 1369 T^{2} )^{2}( 1 + 26 T + 1369 T^{2} )^{2}$$)($$( 1 - 2690 T^{2} + 1874161 T^{4} )^{2}$$)($$( 1 - 1010 T^{2} + 1874161 T^{4} )^{2}$$)($$( 1 + 30 T + 1369 T^{2} )^{2}$$)($$( 1 - 26 T + 1369 T^{2} )^{2}$$)($$( 1 - 34 T + 1369 T^{2} )^{2}$$)($$( 1 + 70 T + 1369 T^{2} )^{2}$$)($$( 1 + 70 T + 1369 T^{2} )^{2}$$)($$( 1 - 34 T + 1369 T^{2} )^{2}$$)($$( 1 - 26 T + 1369 T^{2} )^{2}$$)($$( 1 + 30 T + 1369 T^{2} )^{2}$$)($$1 - 70 T + 1369 T^{2}$$)($$1 - 70 T + 1369 T^{2}$$)($$1 - 70 T + 1369 T^{2}$$)($$( 1 + 18 T + 1369 T^{2} )^{2}$$)($$( 1 + 26 T + 1369 T^{2} )^{2}$$)($$( 1 + 26 T + 1369 T^{2} )^{2}$$)($$( 1 - 30 T + 1369 T^{2} )^{2}$$)($$( 1 + 18 T + 1369 T^{2} )^{2}$$)($$( 1 + 26 T + 1369 T^{2} )^{2}$$)($$( 1 + 36 T + 2294 T^{2} + 49284 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 - 1970 T^{2} + 1874161 T^{4} )^{4}$$)($$( 1 - 1010 T^{2} + 1874161 T^{4} )^{4}$$)($$1 - 46 T + 1058 T^{2} + 6594 T^{3} - 356337 T^{4} - 78343460 T^{5} + 4002544124 T^{6} - 107252196740 T^{7} - 667832908257 T^{8} + 16918399940946 T^{9} + 3716203262248418 T^{10} - 221194881131221054 T^{11} + 6582952005840035281 T^{12}$$)($$( 1 - 48 T + 1152 T^{2} - 50960 T^{3} - 719780 T^{4} + 84286160 T^{5} - 1918088320 T^{6} + 86111407472 T^{7} - 3715717913082 T^{8} + 117886516829168 T^{9} - 3594806323899520 T^{10} + 216255226625199440 T^{11} - 2528212461343257380 T^{12} -$$$$24\!\cdots\!40$$$$T^{13} +$$$$75\!\cdots\!12$$$$T^{14} -$$$$43\!\cdots\!72$$$$T^{15} +$$$$12\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 + 96 T + 4608 T^{2} + 145952 T^{3} + 4040888 T^{4} + 217733344 T^{5} + 12932982272 T^{6} + 602883756192 T^{7} + 21839639792924 T^{8} + 655265530977504 T^{9} + 21703692469355008 T^{10} + 815191556064282016 T^{11} + 35433653736114978312 T^{12} +$$$$14\!\cdots\!40$$$$T^{13} +$$$$50\!\cdots\!52$$$$T^{14} +$$$$14\!\cdots\!84$$$$T^{15} +$$$$43\!\cdots\!90$$$$T^{16} +$$$$20\!\cdots\!96$$$$T^{17} +$$$$95\!\cdots\!72$$$$T^{18} +$$$$37\!\cdots\!60$$$$T^{19} +$$$$12\!\cdots\!52$$$$T^{20} +$$$$39\!\cdots\!84$$$$T^{21} +$$$$14\!\cdots\!48$$$$T^{22} +$$$$59\!\cdots\!56$$$$T^{23} +$$$$26\!\cdots\!84$$$$T^{24} +$$$$10\!\cdots\!68$$$$T^{25} +$$$$29\!\cdots\!72$$$$T^{26} +$$$$68\!\cdots\!36$$$$T^{27} +$$$$17\!\cdots\!68$$$$T^{28} +$$$$86\!\cdots\!68$$$$T^{29} +$$$$37\!\cdots\!68$$$$T^{30} +$$$$10\!\cdots\!04$$$$T^{31} +$$$$15\!\cdots\!81$$$$T^{32}$$)($$( 1 - 37 T )^{8}( 1 + 37 T )^{8}$$)($$( 1 - 16 T + 1369 T^{2} )^{2}$$)($$( 1 - 16 T + 1369 T^{2} )^{2}$$)($$( 1 - 48 T + 1369 T^{2} )^{4}$$)($$( 1 - 10 T + 1720 T^{2} + 76250 T^{3} + 347470 T^{4} + 104386250 T^{5} + 3223556920 T^{6} - 25657264090 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 + 10 T + 1818 T^{2} + 13690 T^{3} + 1874161 T^{4} )^{4}$$)($$( 1 - 10 T + 1720 T^{2} + 76250 T^{3} + 347470 T^{4} + 104386250 T^{5} + 3223556920 T^{6} - 25657264090 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 + 14 T + 3040 T^{2} + 66050 T^{3} + 4581118 T^{4} + 90422450 T^{5} + 5697449440 T^{6} + 35920169726 T^{7} + 3512479453921 T^{8} )^{4}$$)($$( 1 + 24 T + 4085 T^{2} + 54480 T^{3} + 8016466 T^{4} + 74041968 T^{5} + 10974541954 T^{6} + 102104291280 T^{7} + 10480992380765 T^{8} + 84299506894104 T^{9} + 4808584372417849 T^{10} )^{4}$$)($$( 1 - 34 T + 1369 T^{2} )^{2}$$)($$( 1 - 34 T + 1369 T^{2} )^{2}$$)($$( 1 - 60 T + 3254 T^{2} - 82140 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 - 32 T + 1806 T^{2} - 43808 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 + 64 T + 3546 T^{2} + 87616 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 + 64 T + 3546 T^{2} + 87616 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 - 32 T + 1806 T^{2} - 43808 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 - 60 T + 3254 T^{2} - 82140 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 + 60 T + 5200 T^{2} + 219060 T^{3} + 10695774 T^{4} + 299893140 T^{5} + 9745637200 T^{6} + 153943584540 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 + 60 T + 5200 T^{2} + 219060 T^{3} + 10695774 T^{4} + 299893140 T^{5} + 9745637200 T^{6} + 153943584540 T^{7} + 3512479453921 T^{8} )^{2}$$)
$41$ ($$( 1 - 6 T + 1681 T^{2} )^{4}$$)($$( 1 + 1681 T^{2} )^{4}$$)($$( 1 + 1681 T^{2} )^{4}$$)($$( 1 + 66 T + 1681 T^{2} )^{4}$$)($$( 1 - 54 T + 1681 T^{2} )^{4}$$)($$1 - 2912 T^{2} + 2825761 T^{4}$$)($$1 + 1056 T^{2} + 2825761 T^{4}$$)($$1 - 1184 T^{2} + 2825761 T^{4}$$)($$1 + 1440 T^{2} + 2825761 T^{4}$$)($$1 - 1440 T^{2} + 2825761 T^{4}$$)($$1 - 1184 T^{2} + 2825761 T^{4}$$)($$1 + 1056 T^{2} + 2825761 T^{4}$$)($$1 - 2912 T^{2} + 2825761 T^{4}$$)($$1 - 80 T + 1681 T^{2}$$)($$1 + 18 T + 1681 T^{2}$$)($$1 + 80 T + 1681 T^{2}$$)($$( 1 - 8 T + 1681 T^{2} )^{2}$$)($$( 1 + 58 T + 1681 T^{2} )^{2}$$)($$( 1 + 1681 T^{2} )^{2}$$)($$( 1 - 14 T + 1681 T^{2} )^{2}$$)($$( 1 + 8 T + 1681 T^{2} )^{2}$$)($$( 1 - 54 T + 1681 T^{2} )^{2}$$)($$( 1 - 44 T + 3654 T^{2} - 73964 T^{3} + 2825761 T^{4} )^{2}$$)($$( 1 - 2480 T^{2} + 2825761 T^{4} )^{4}$$)($$( 1 + 1840 T^{2} + 2825761 T^{4} )^{4}$$)($$1 - 5094 T^{2} + 15050223 T^{4} - 31243096276 T^{6} + 42528333194703 T^{8} - 40675209117142374 T^{10} + 22563490300366186081 T^{12}$$)($$( 1 - 6200 T^{2} + 18860092 T^{4} - 40121913352 T^{6} + 71431934605958 T^{8} - 113374937995460872 T^{10} +$$$$15\!\cdots\!32$$$$T^{12} -$$$$13\!\cdots\!00$$$$T^{14} +$$$$63\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 - 13840 T^{2} + 102706104 T^{4} - 524939980080 T^{6} + 2044068651261084 T^{8} - 6376104819902485008 T^{10} +$$$$16\!\cdots\!68$$$$T^{12} -$$$$35\!\cdots\!72$$$$T^{14} +$$$$64\!\cdots\!06$$$$T^{16} -$$$$99\!\cdots\!92$$$$T^{18} +$$$$13\!\cdots\!28$$$$T^{20} -$$$$14\!\cdots\!48$$$$T^{22} +$$$$13\!\cdots\!44$$$$T^{24} -$$$$94\!\cdots\!80$$$$T^{26} +$$$$52\!\cdots\!44$$$$T^{28} -$$$$19\!\cdots\!40$$$$T^{30} +$$$$40\!\cdots\!81$$$$T^{32}$$)($$( 1 - 46 T + 1681 T^{2} )^{4}( 1 - 46 T + 435 T^{2} - 77326 T^{3} + 2825761 T^{4} )^{2}$$)($$1 + 13 T - 1512 T^{2} + 21853 T^{3} + 2825761 T^{4}$$)($$1 + 13 T - 1512 T^{2} + 21853 T^{3} + 2825761 T^{4}$$)($$( 1 - 7 T - 1632 T^{2} - 11767 T^{3} + 2825761 T^{4} )^{2}$$)($$1 - 54 T - 1108 T^{2} - 54648 T^{3} + 6254527 T^{4} + 135074304 T^{5} - 346116544 T^{6} - 221393044530 T^{7} - 6391866656792 T^{8} - 372161707854930 T^{9} - 978042631489984 T^{10} + 641617024280523264 T^{11} + 49941930438518480767 T^{12} -$$$$73\!\cdots\!48$$$$T^{13} -$$$$25\!\cdots\!48$$$$T^{14} -$$$$20\!\cdots\!94$$$$T^{15} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$( 1 + 72 T + 1471 T^{2} + 25272 T^{3} + 2246304 T^{4} + 42482232 T^{5} + 4156694431 T^{6} + 342007505352 T^{7} + 7984925229121 T^{8} )^{2}$$)($$1 - 54 T - 1108 T^{2} - 54648 T^{3} + 6254527 T^{4} + 135074304 T^{5} - 346116544 T^{6} - 221393044530 T^{7} - 6391866656792 T^{8} - 372161707854930 T^{9} - 978042631489984 T^{10} + 641617024280523264 T^{11} + 49941930438518480767 T^{12} -$$$$73\!\cdots\!48$$$$T^{13} -$$$$25\!\cdots\!48$$$$T^{14} -$$$$20\!\cdots\!94$$$$T^{15} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$( 1 - 42 T - 4424 T^{2} + 125040 T^{3} + 14943835 T^{4} - 232367040 T^{5} - 36025798940 T^{6} + 132403432026 T^{7} + 71285616374608 T^{8} + 222570169235706 T^{9} - 101800297638493340 T^{10} - 1103767662172616640 T^{11} +$$$$11\!\cdots\!35$$$$T^{12} +$$$$16\!\cdots\!40$$$$T^{13} -$$$$99\!\cdots\!44$$$$T^{14} -$$$$15\!\cdots\!62$$$$T^{15} +$$$$63\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 + 13 T - 4094 T^{2} - 151857 T^{3} + 7965558 T^{4} + 490033563 T^{5} - 864019716 T^{6} - 970537752621 T^{7} - 26496982066095 T^{8} + 685297699188502 T^{9} + 73172545258661236 T^{10} + 1151985432335871862 T^{11} - 74874138540070673295 T^{12} -$$$$46\!\cdots\!61$$$$T^{13} -$$$$68\!\cdots\!36$$$$T^{14} +$$$$65\!\cdots\!63$$$$T^{15} +$$$$17\!\cdots\!98$$$$T^{16} -$$$$57\!\cdots\!77$$$$T^{17} -$$$$26\!\cdots\!54$$$$T^{18} +$$$$13\!\cdots\!73$$$$T^{19} +$$$$18\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 21 T + 1828 T^{2} + 35301 T^{3} + 2825761 T^{4}$$)($$1 + 21 T + 1828 T^{2} + 35301 T^{3} + 2825761 T^{4}$$)($$( 1 + 69 T + 3268 T^{2} + 115989 T^{3} + 2825761 T^{4} )^{2}$$)($$1 + 18 T + 1913 T^{2} + 32490 T^{3} + 613812 T^{4} + 54615690 T^{5} + 5405680793 T^{6} + 85501876338 T^{7} + 7984925229121 T^{8}$$)($$1 + 126 T + 9329 T^{2} + 508662 T^{3} + 22367460 T^{4} + 855060822 T^{5} + 26361524369 T^{6} + 598513134366 T^{7} + 7984925229121 T^{8}$$)($$1 + 126 T + 9329 T^{2} + 508662 T^{3} + 22367460 T^{4} + 855060822 T^{5} + 26361524369 T^{6} + 598513134366 T^{7} + 7984925229121 T^{8}$$)($$1 + 18 T + 1913 T^{2} + 32490 T^{3} + 613812 T^{4} + 54615690 T^{5} + 5405680793 T^{6} + 85501876338 T^{7} + 7984925229121 T^{8}$$)($$( 1 + 69 T + 3268 T^{2} + 115989 T^{3} + 2825761 T^{4} )^{2}$$)($$1 - 264 T + 38158 T^{2} - 3940464 T^{3} + 321724129 T^{4} - 21802117680 T^{5} + 1260648967822 T^{6} - 63190156979928 T^{7} + 2768191141578052 T^{8} - 106222653883258968 T^{9} + 3562292687961662542 T^{10} -$$$$10\!\cdots\!80$$$$T^{11} +$$$$25\!\cdots\!09$$$$T^{12} -$$$$52\!\cdots\!64$$$$T^{13} +$$$$86\!\cdots\!98$$$$T^{14} -$$$$10\!\cdots\!04$$$$T^{15} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$1 - 264 T + 38158 T^{2} - 3940464 T^{3} + 321724129 T^{4} - 21802117680 T^{5} + 1260648967822 T^{6} - 63190156979928 T^{7} + 2768191141578052 T^{8} - 106222653883258968 T^{9} + 3562292687961662542 T^{10} -$$$$10\!\cdots\!80$$$$T^{11} +$$$$25\!\cdots\!09$$$$T^{12} -$$$$52\!\cdots\!64$$$$T^{13} +$$$$86\!\cdots\!98$$$$T^{14} -$$$$10\!\cdots\!04$$$$T^{15} +$$$$63\!\cdots\!41$$$$T^{16}$$)
$43$ ($$( 1 - 190 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 + 1849 T^{2} )^{4}$$)($$( 1 - 3214 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 + 2726 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 + 3266 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 + 8 T + 1849 T^{2} )^{2}$$)($$( 1 - 16 T + 1849 T^{2} )^{2}$$)($$( 1 - 40 T + 1849 T^{2} )^{2}$$)($$( 1 + 1849 T^{2} )^{2}$$)($$( 1 + 1849 T^{2} )^{2}$$)($$( 1 + 40 T + 1849 T^{2} )^{2}$$)($$( 1 + 16 T + 1849 T^{2} )^{2}$$)($$( 1 - 8 T + 1849 T^{2} )^{2}$$)($$( 1 - 43 T )( 1 + 43 T )$$)($$( 1 - 43 T )( 1 + 43 T )$$)($$( 1 - 43 T )( 1 + 43 T )$$)($$1 - 562 T^{2} + 3418801 T^{4}$$)($$1 - 1346 T^{2} + 3418801 T^{4}$$)($$( 1 - 22 T + 1849 T^{2} )( 1 + 22 T + 1849 T^{2} )$$)($$1 - 2914 T^{2} + 3418801 T^{4}$$)($$1 - 562 T^{2} + 3418801 T^{4}$$)($$1 - 3266 T^{2} + 3418801 T^{4}$$)($$1 - 1796 T^{2} - 35994 T^{4} - 6140166596 T^{6} + 11688200277601 T^{8}$$)($$( 1 - 562 T^{2} + 3418801 T^{4} )^{4}$$)($$( 1 - 2098 T^{2} + 3418801 T^{4} )^{4}$$)($$1 - 114 T + 6498 T^{2} - 241730 T^{3} + 12357983 T^{4} - 838941724 T^{5} + 44553879452 T^{6} - 1551203247676 T^{7} + 42249484638383 T^{8} - 1528063089834770 T^{9} + 75949925403851298 T^{10} - 2463708983714404386 T^{11} + 39959630797262576401 T^{12}$$)($$( 1 - 16 T + 128 T^{2} - 120528 T^{3} - 217180 T^{4} + 199455632 T^{5} + 4100008320 T^{6} + 63109389264 T^{7} - 21163084456442 T^{8} + 116689260749136 T^{9} + 14017112544424320 T^{10} + 1260831462039741968 T^{11} - 2538443336289385180 T^{12} -$$$$26\!\cdots\!72$$$$T^{13} +$$$$51\!\cdots\!28$$$$T^{14} -$$$$11\!\cdots\!84$$$$T^{15} +$$$$13\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 + 160 T + 12800 T^{2} + 978464 T^{3} + 71106632 T^{4} + 3813053664 T^{5} + 178619596288 T^{6} + 8719368905312 T^{7} + 336417491247900 T^{8} + 9339737479444512 T^{9} + 288453906337733120 T^{10} + 7137460469658328480 T^{11} -$$$$12\!\cdots\!76$$$$T^{12} -$$$$13\!\cdots\!84$$$$T^{13} -$$$$44\!\cdots\!20$$$$T^{14} -$$$$28\!\cdots\!76$$$$T^{15} -$$$$17\!\cdots\!30$$$$T^{16} -$$$$53\!\cdots\!24$$$$T^{17} -$$$$15\!\cdots\!20$$$$T^{18} -$$$$83\!\cdots\!16$$$$T^{19} -$$$$15\!\cdots\!76$$$$T^{20} +$$$$15\!\cdots\!20$$$$T^{21} +$$$$11\!\cdots\!20$$$$T^{22} +$$$$69\!\cdots\!88$$$$T^{23} +$$$$45\!\cdots\!00$$$$T^{24} +$$$$22\!\cdots\!88$$$$T^{25} +$$$$83\!\cdots\!88$$$$T^{26} +$$$$32\!\cdots\!36$$$$T^{27} +$$$$11\!\cdots\!32$$$$T^{28} +$$$$28\!\cdots\!36$$$$T^{29} +$$$$69\!\cdots\!00$$$$T^{30} +$$$$16\!\cdots\!40$$$$T^{31} +$$$$18\!\cdots\!01$$$$T^{32}$$)($$( 1 - 3502 T^{2} + 3418801 T^{4} )^{2}( 1 + 3502 T^{2} + 8845203 T^{4} + 11972641102 T^{6} + 11688200277601 T^{8} )$$)($$1 + 87 T + 4372 T^{2} + 160863 T^{3} + 3418801 T^{4}$$)($$1 - 87 T + 4372 T^{2} - 160863 T^{3} + 3418801 T^{4}$$)($$1 + 889 T^{2} - 2628480 T^{4} + 3039314089 T^{6} + 11688200277601 T^{8}$$)($$1 + 4210 T^{2} + 9163465 T^{4} + 282271716 T^{5} + 12018514642 T^{6} + 1023475278060 T^{7} + 9810745543012 T^{8} + 1892405789132940 T^{9} + 41088909876584242 T^{10} + 1784341995300222084 T^{11} +$$$$10\!\cdots\!65$$$$T^{12} +$$$$16\!\cdots\!10$$$$T^{14} +$$$$13\!\cdots\!01$$$$T^{16}$$)($$1 + 3166 T^{2} + 4082065 T^{4} - 2837087426 T^{6} - 10655428250876 T^{8} - 9699437329096226 T^{10} + 47711993266185326065 T^{12} +$$$$12\!\cdots\!66$$$$T^{14} +$$$$13\!\cdots\!01$$$$T^{16}$$)($$1 + 4210 T^{2} + 9163465 T^{4} - 282271716 T^{5} + 12018514642 T^{6} - 1023475278060 T^{7} + 9810745543012 T^{8} - 1892405789132940 T^{9} + 41088909876584242 T^{10} - 1784341995300222084 T^{11} +$$$$10\!\cdots\!65$$$$T^{12} +$$$$16\!\cdots\!10$$$$T^{14} +$$$$13\!\cdots\!01$$$$T^{16}$$)($$1 + 10292 T^{2} + 52819302 T^{4} + 202099368136 T^{6} + 665872758097265 T^{8} + 1877680374529631208 T^{10} +$$$$45\!\cdots\!90$$$$T^{12} +$$$$10\!\cdots\!64$$$$T^{14} +$$$$19\!\cdots\!28$$$$T^{16} +$$$$34\!\cdots\!64$$$$T^{18} +$$$$53\!\cdots\!90$$$$T^{20} +$$$$75\!\cdots\!08$$$$T^{22} +$$$$90\!\cdots\!65$$$$T^{24} +$$$$94\!\cdots\!36$$$$T^{26} +$$$$84\!\cdots\!02$$$$T^{28} +$$$$56\!\cdots\!92$$$$T^{30} +$$$$18\!\cdots\!01$$$$T^{32}$$)($$1 + 8801 T^{2} + 39209830 T^{4} + 112428284199 T^{6} + 220084622338842 T^{8} + 278655897019563375 T^{10} + 98884024499214281004 T^{12} -$$$$64\!\cdots\!73$$$$T^{14} -$$$$25\!\cdots\!23$$$$T^{16} -$$$$66\!\cdots\!26$$$$T^{18} -$$$$13\!\cdots\!60$$$$T^{20} -$$$$22\!\cdots\!26$$$$T^{22} -$$$$30\!\cdots\!23$$$$T^{24} -$$$$25\!\cdots\!73$$$$T^{26} +$$$$13\!\cdots\!04$$$$T^{28} +$$$$13\!\cdots\!75$$$$T^{30} +$$$$35\!\cdots\!42$$$$T^{32} +$$$$61\!\cdots\!99$$$$T^{34} +$$$$73\!\cdots\!30$$$$T^{36} +$$$$56\!\cdots\!01$$$$T^{38} +$$$$21\!\cdots\!01$$$$T^{40}$$)($$( 1 - 83 T + 1849 T^{2} )( 1 + 22 T + 1849 T^{2} )$$)($$( 1 - 22 T + 1849 T^{2} )( 1 + 83 T + 1849 T^{2} )$$)($$1 - 10 T - 2087 T^{2} + 15110 T^{3} + 1179268 T^{4} + 27938390 T^{5} - 7135037687 T^{6} - 63213630490 T^{7} + 11688200277601 T^{8}$$)($$( 1 - 23 T - 1320 T^{2} - 42527 T^{3} + 3418801 T^{4} )^{2}$$)($$1 + 46 T - 1625 T^{2} + 1978 T^{3} + 6663796 T^{4} + 3657322 T^{5} - 5555551625 T^{6} + 290782700254 T^{7} + 11688200277601 T^{8}$$)($$1 - 46 T - 1625 T^{2} - 1978 T^{3} + 6663796 T^{4} - 3657322 T^{5} - 5555551625 T^{6} - 290782700254 T^{7} + 11688200277601 T^{8}$$)($$( 1 + 23 T - 1320 T^{2} + 42527 T^{3} + 3418801 T^{4} )^{2}$$)($$1 + 10 T - 2087 T^{2} - 15110 T^{3} + 1179268 T^{4} - 27938390 T^{5} - 7135037687 T^{6} + 63213630490 T^{7} + 11688200277601 T^{8}$$)($$1 - 28 T - 2364 T^{2} - 141848 T^{3} + 7021127 T^{4} + 338054892 T^{5} + 12175270060 T^{6} - 693178978408 T^{7} - 23735268373680 T^{8} - 1281687931076392 T^{9} + 41624825456398060 T^{10} + 2136967702822485708 T^{11} + 82064338550471876327 T^{12} -$$$$30\!\cdots\!52$$$$T^{13} -$$$$94\!\cdots\!64$$$$T^{14} -$$$$20\!\cdots\!72$$$$T^{15} +$$$$13\!\cdots\!01$$$$T^{16}$$)($$1 + 28 T - 2364 T^{2} + 141848 T^{3} + 7021127 T^{4} - 338054892 T^{5} + 12175270060 T^{6} + 693178978408 T^{7} - 23735268373680 T^{8} + 1281687931076392 T^{9} + 41624825456398060 T^{10} - 2136967702822485708 T^{11} + 82064338550471876327 T^{12} +$$$$30\!\cdots\!52$$$$T^{13} -$$$$94\!\cdots\!64$$$$T^{14} +$$$$20\!\cdots\!72$$$$T^{15} +$$$$13\!\cdots\!01$$$$T^{16}$$)
$47$ ($$( 1 + 2638 T^{2} + 4879681 T^{4} )^{2}$$)($$( 1 - 47 T )^{4}( 1 + 47 T )^{4}$$)($$( 1 - 47 T )^{4}( 1 + 47 T )^{4}$$)($$( 1 - 2114 T^{2} + 4879681 T^{4} )^{2}$$)($$( 1 - 3122 T^{2} + 4879681 T^{4} )^{2}$$)($$1 - 4130 T^{2} + 4879681 T^{4}$$)($$1 - 4290 T^{2} + 4879681 T^{4}$$)($$1 + 2782 T^{2} + 4879681 T^{4}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$1 + 2782 T^{2} + 4879681 T^{4}$$)($$1 - 4290 T^{2} + 4879681 T^{4}$$)($$1 - 4130 T^{2} + 4879681 T^{4}$$)($$( 1 - 47 T )( 1 + 47 T )$$)($$( 1 - 47 T )( 1 + 47 T )$$)($$( 1 - 47 T )( 1 + 47 T )$$)($$1 - 3394 T^{2} + 4879681 T^{4}$$)($$1 + 382 T^{2} + 4879681 T^{4}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$1 - 4162 T^{2} + 4879681 T^{4}$$)($$1 - 3394 T^{2} + 4879681 T^{4}$$)($$1 - 2690 T^{2} + 4879681 T^{4}$$)($$1 - 2180 T^{2} + 8539014 T^{4} - 10637704580 T^{6} + 23811286661761 T^{8}$$)($$( 1 - 362 T^{2} + 4879681 T^{4} )^{4}$$)($$( 1 + 982 T^{2} + 4879681 T^{4} )^{4}$$)($$1 - 4678 T^{2} + 12462287 T^{4} - 24905944212 T^{6} + 60811985090447 T^{8} - 111389199003717958 T^{10} +$$$$11\!\cdots\!41$$$$T^{12}$$)($$( 1 - 6312 T^{2} + 26526428 T^{4} - 83137920920 T^{6} + 212859158930374 T^{8} - 405686533092826520 T^{10} +$$$$63\!\cdots\!08$$$$T^{12} -$$$$73\!\cdots\!92$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 24144 T^{2} + 280869112 T^{4} - 2097883923184 T^{6} + 11327375509374492 T^{8} - 47271044690493269328 T^{10} +$$$$15\!\cdots\!16$$$$T^{12} -$$$$44\!\cdots\!04$$$$T^{14} +$$$$10\!\cdots\!58$$$$T^{16} -$$$$21\!\cdots\!24$$$$T^{18} +$$$$37\!\cdots\!76$$$$T^{20} -$$$$54\!\cdots\!48$$$$T^{22} +$$$$64\!\cdots\!32$$$$T^{24} -$$$$58\!\cdots\!84$$$$T^{26} +$$$$37\!\cdots\!72$$$$T^{28} -$$$$15\!\cdots\!84$$$$T^{30} +$$$$32\!\cdots\!41$$$$T^{32}$$)($$( 1 - 47 T + 2209 T^{2} )^{4}( 1 + 47 T + 2209 T^{2} )^{4}$$)($$1 + 6 T + 2221 T^{2} + 13254 T^{3} + 4879681 T^{4}$$)($$1 - 6 T + 2221 T^{2} - 13254 T^{3} + 4879681 T^{4}$$)($$1 + 3049 T^{2} + 4416720 T^{4} + 14878147369 T^{6} + 23811286661761 T^{8}$$)($$1 + 207 T + 24406 T^{2} + 2095461 T^{3} + 142092151 T^{4} + 7940274480 T^{5} + 383592144688 T^{6} + 17253891231516 T^{7} + 786328390118740 T^{8} + 38113845730418844 T^{9} + 1871807300183284528 T^{10} + 85589928391283503920 T^{11} +$$$$33\!\cdots\!11$$$$T^{12} +$$$$11\!\cdots\!89$$$$T^{13} +$$$$28\!\cdots\!46$$$$T^{14} +$$$$53\!\cdots\!83$$$$T^{15} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 2977 T^{2} + 5326621 T^{4} - 18527222558 T^{6} - 54554955650546 T^{8} - 90406935899043998 T^{10} +$$$$12\!\cdots\!81$$$$T^{12} +$$$$34\!\cdots\!57$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 - 207 T + 24406 T^{2} - 2095461 T^{3} + 142092151 T^{4} - 7940274480 T^{5} + 383592144688 T^{6} - 17253891231516 T^{7} + 786328390118740 T^{8} - 38113845730418844 T^{9} + 1871807300183284528 T^{10} - 85589928391283503920 T^{11} +$$$$33\!\cdots\!11$$$$T^{12} -$$$$11\!\cdots\!89$$$$T^{13} +$$$$28\!\cdots\!46$$$$T^{14} -$$$$53\!\cdots\!83$$$$T^{15} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 12983 T^{2} + 90223140 T^{4} + 428939892679 T^{6} + 1551988218895697 T^{8} + 4556649670813575888 T^{10} +$$$$11\!\cdots\!54$$$$T^{12} +$$$$26\!\cdots\!06$$$$T^{14} +$$$$58\!\cdots\!04$$$$T^{16} +$$$$12\!\cdots\!86$$$$T^{18} +$$$$27\!\cdots\!94$$$$T^{20} +$$$$52\!\cdots\!08$$$$T^{22} +$$$$87\!\cdots\!37$$$$T^{24} +$$$$11\!\cdots\!79$$$$T^{26} +$$$$12\!\cdots\!40$$$$T^{28} +$$$$85\!\cdots\!63$$$$T^{30} +$$$$32\!\cdots\!41$$$$T^{32}$$)($$1 + 12791 T^{2} + 77339785 T^{4} + 324369828510 T^{6} + 1169959853017194 T^{8} + 3859753944483733566 T^{10} +$$$$11\!\cdots\!87$$$$T^{12} +$$$$31\!\cdots\!97$$$$T^{14} +$$$$82\!\cdots\!39$$$$T^{16} +$$$$19\!\cdots\!72$$$$T^{18} +$$$$44\!\cdots\!56$$$$T^{20} +$$$$96\!\cdots\!32$$$$T^{22} +$$$$19\!\cdots\!79$$$$T^{24} +$$$$37\!\cdots\!77$$$$T^{26} +$$$$65\!\cdots\!27$$$$T^{28} +$$$$10\!\cdots\!66$$$$T^{30} +$$$$15\!\cdots\!14$$$$T^{32} +$$$$21\!\cdots\!10$$$$T^{34} +$$$$24\!\cdots\!85$$$$T^{36} +$$$$20\!\cdots\!11$$$$T^{38} +$$$$76\!\cdots\!01$$$$T^{40}$$)($$1 - 84 T + 4561 T^{2} - 185556 T^{3} + 4879681 T^{4}$$)($$1 + 84 T + 4561 T^{2} + 185556 T^{3} + 4879681 T^{4}$$)($$1 + 174 T + 16745 T^{2} + 1157622 T^{3} + 61675956 T^{4} + 2557186998 T^{5} + 81710258345 T^{6} + 1875583467246 T^{7} + 23811286661761 T^{8}$$)($$1 + 81 T + 6929 T^{2} + 384102 T^{3} + 22437966 T^{4} + 848481318 T^{5} + 33811309649 T^{6} + 873116441649 T^{7} + 23811286661761 T^{8}$$)($$1 + 54 T + 4751 T^{2} + 204066 T^{3} + 11548308 T^{4} + 450781794 T^{5} + 23183364431 T^{6} + 582077627766 T^{7} + 23811286661761 T^{8}$$)($$1 - 54 T + 4751 T^{2} - 204066 T^{3} + 11548308 T^{4} - 450781794 T^{5} + 23183364431 T^{6} - 582077627766 T^{7} + 23811286661761 T^{8}$$)($$1 - 81 T + 6929 T^{2} - 384102 T^{3} + 22437966 T^{4} - 848481318 T^{5} + 33811309649 T^{6} - 873116441649 T^{7} + 23811286661761 T^{8}$$)($$1 - 174 T + 16745 T^{2} - 1157622 T^{3} + 61675956 T^{4} - 2557186998 T^{5} + 81710258345 T^{6} - 1875583467246 T^{7} + 23811286661761 T^{8}$$)($$1 - 150 T + 16249 T^{2} - 1312350 T^{3} + 88432117 T^{4} - 5053131000 T^{5} + 262267521478 T^{6} - 12644089287900 T^{7} + 595883042253514 T^{8} - 27930793236971100 T^{9} + 1279781841473288518 T^{10} - 54468787134645099000 T^{11} +$$$$21\!\cdots\!37$$$$T^{12} -$$$$69\!\cdots\!50$$$$T^{13} +$$$$18\!\cdots\!09$$$$T^{14} -$$$$38\!\cdots\!50$$$$T^{15} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 150 T + 16249 T^{2} + 1312350 T^{3} + 88432117 T^{4} + 5053131000 T^{5} + 262267521478 T^{6} + 12644089287900 T^{7} + 595883042253514 T^{8} + 27930793236971100 T^{9} + 1279781841473288518 T^{10} + 54468787134645099000 T^{11} +$$$$21\!\cdots\!37$$$$T^{12} +$$$$69\!\cdots\!50$$$$T^{13} +$$$$18\!\cdots\!09$$$$T^{14} +$$$$38\!\cdots\!50$$$$T^{15} +$$$$56\!\cdots\!21$$$$T^{16}$$)
$53$ ($$( 1 - 5318 T^{2} + 7890481 T^{4} )^{2}$$)($$( 1 - 94 T + 2809 T^{2} )^{2}( 1 + 94 T + 2809 T^{2} )^{2}$$)($$( 1 - 53 T )^{4}( 1 + 53 T )^{4}$$)($$( 1 + 2494 T^{2} + 7890481 T^{4} )^{2}$$)($$( 1 + 4474 T^{2} + 7890481 T^{4} )^{2}$$)($$1 - 3168 T^{2} + 7890481 T^{4}$$)($$1 - 4560 T^{2} + 7890481 T^{4}$$)($$1 - 4160 T^{2} + 7890481 T^{4}$$)($$1 + 5040 T^{2} + 7890481 T^{4}$$)($$1 - 5040 T^{2} + 7890481 T^{4}$$)($$1 - 4160 T^{2} + 7890481 T^{4}$$)($$1 - 4560 T^{2} + 7890481 T^{4}$$)($$1 - 3168 T^{2} + 7890481 T^{4}$$)($$1 + 56 T + 2809 T^{2}$$)($$1 - 90 T + 2809 T^{2}$$)($$1 - 56 T + 2809 T^{2}$$)($$( 1 - 36 T + 2809 T^{2} )^{2}$$)($$( 1 + 74 T + 2809 T^{2} )^{2}$$)($$( 1 + 2809 T^{2} )^{2}$$)($$( 1 - 66 T + 2809 T^{2} )^{2}$$)($$( 1 + 36 T + 2809 T^{2} )^{2}$$)($$( 1 + 18 T + 2809 T^{2} )^{2}$$)($$( 1 - 12 T + 5606 T^{2} - 33708 T^{3} + 7890481 T^{4} )^{2}$$)($$( 1 + 572 T^{2} + 7890481 T^{4} )^{4}$$)($$( 1 + 4268 T^{2} + 7890481 T^{4} )^{4}$$)($$1 + 78 T + 3042 T^{2} + 270110 T^{3} + 31648463 T^{4} + 1389102820 T^{5} + 48555101564 T^{6} + 3901989821380 T^{7} + 249721595980703 T^{8} + 5986815584554190 T^{9} + 189393978231360162 T^{10} + 13641222688510017822 T^{11} +$$$$49\!\cdots\!41$$$$T^{12}$$)($$1 - 41116504 T^{4} + 844846897443036 T^{8} -$$$$11\!\cdots\!20$$$$T^{12} +$$$$10\!\cdots\!98$$$$T^{16} -$$$$69\!\cdots\!20$$$$T^{20} +$$$$32\!\cdots\!56$$$$T^{24} -$$$$99\!\cdots\!24$$$$T^{28} +$$$$15\!\cdots\!41$$$$T^{32}$$)($$1 - 160 T + 12800 T^{2} - 602944 T^{3} + 3948712 T^{4} + 1481707264 T^{5} - 105845942272 T^{6} + 3791430241760 T^{7} + 34861972067036 T^{8} - 14471440004155872 T^{9} + 1098860393015073792 T^{10} - 54880211634179791488 T^{11} +$$$$13\!\cdots\!12$$$$T^{12} +$$$$17\!\cdots\!00$$$$T^{13} -$$$$18\!\cdots\!48$$$$T^{14} -$$$$16\!\cdots\!08$$$$T^{15} +$$$$51\!\cdots\!54$$$$T^{16} -$$$$46\!\cdots\!72$$$$T^{17} -$$$$14\!\cdots\!88$$$$T^{18} +$$$$38\!\cdots\!00$$$$T^{19} +$$$$84\!\cdots\!32$$$$T^{20} -$$$$95\!\cdots\!12$$$$T^{21} +$$$$53\!\cdots\!72$$$$T^{22} -$$$$19\!\cdots\!68$$$$T^{23} +$$$$13\!\cdots\!56$$$$T^{24} +$$$$41\!\cdots\!40$$$$T^{25} -$$$$32\!\cdots\!72$$$$T^{26} +$$$$12\!\cdots\!76$$$$T^{27} +$$$$95\!\cdots\!72$$$$T^{28} -$$$$40\!\cdots\!76$$$$T^{29} +$$$$24\!\cdots\!00$$$$T^{30} -$$$$85\!\cdots\!40$$$$T^{31} +$$$$15\!\cdots\!41$$$$T^{32}$$)($$( 1 + 2809 T^{2} )^{8}$$)($$( 1 + 52 T + 2809 T^{2} )^{2}$$)($$( 1 + 52 T + 2809 T^{2} )^{2}$$)($$( 1 - 48 T + 2809 T^{2} )^{4}$$)($$( 1 - 126 T + 12208 T^{2} - 787698 T^{3} + 46295070 T^{4} - 2212643682 T^{5} + 96326992048 T^{6} - 2792709502254 T^{7} + 62259690411361 T^{8} )^{2}$$)($$( 1 + 90 T + 6698 T^{2} + 252810 T^{3} + 7890481 T^{4} )^{4}$$)($$( 1 - 126 T + 12208 T^{2} - 787698 T^{3} + 46295070 T^{4} - 2212643682 T^{5} + 96326992048 T^{6} - 2792709502254 T^{7} + 62259690411361 T^{8} )^{2}$$)($$( 1 - 18 T + 10016 T^{2} - 126558 T^{3} + 40472766 T^{4} - 355501422 T^{5} + 79031057696 T^{6} - 398958500322 T^{7} + 62259690411361 T^{8} )^{4}$$)($$( 1 - 48 T + 965 T^{2} + 142800 T^{3} + 10034914 T^{4} - 715442688 T^{5} + 28188073426 T^{6} + 1126760686800 T^{7} + 21388608489485 T^{8} - 2988465139745328 T^{9} + 174887470365513049 T^{10} )^{4}$$)($$( 1 - 53 T )^{2}( 1 + 53 T )^{2}$$)($$( 1 - 53 T )^{2}( 1 + 53 T )^{2}$$)($$1 - 996 T^{2} - 9136858 T^{4} - 7858919076 T^{6} + 62259690411361 T^{8}$$)($$1 - 7204 T^{2} + 26018214 T^{4} - 56843025124 T^{6} + 62259690411361 T^{8}$$)($$1 - 2236 T^{2} - 2409114 T^{4} - 17643115516 T^{6} + 62259690411361 T^{8}$$)($$1 - 2236 T^{2} - 2409114 T^{4} - 17643115516 T^{6} + 62259690411361 T^{8}$$)($$1 - 7204 T^{2} + 26018214 T^{4} - 56843025124 T^{6} + 62259690411361 T^{8}$$)($$1 - 996 T^{2} - 9136858 T^{4} - 7858919076 T^{6} + 62259690411361 T^{8}$$)($$1 - 15456 T^{2} + 115082620 T^{4} - 547509829536 T^{6} + 1820499555493830 T^{8} - 4320115907267046816 T^{10} +$$$$71\!\cdots\!20$$$$T^{12} -$$$$75\!\cdots\!96$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16}$$)($$1 - 15456 T^{2} + 115082620 T^{4} - 547509829536 T^{6} + 1820499555493830 T^{8} - 4320115907267046816 T^{10} +$$$$71\!\cdots\!20$$$$T^{12} -$$$$75\!\cdots\!96$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16}$$)
$59$ ($$( 1 + 3074 T^{2} + 12117361 T^{4} )^{2}$$)($$( 1 - 6862 T^{2} + 12117361 T^{4} )^{2}$$)($$( 1 + 3481 T^{2} )^{4}$$)($$( 1 + 5990 T^{2} + 12117361 T^{4} )^{2}$$)($$( 1 + 3074 T^{2} + 12117361 T^{4} )^{2}$$)($$1 - 690 T^{2} + 12117361 T^{4}$$)($$1 - 6450 T^{2} + 12117361 T^{4}$$)($$1 - 5810 T^{2} + 12117361 T^{4}$$)($$( 1 - 59 T )^{2}( 1 + 59 T )^{2}$$)($$( 1 - 59 T )^{2}( 1 + 59 T )^{2}$$)($$1 - 5810 T^{2} + 12117361 T^{4}$$)($$1 - 6450 T^{2} + 12117361 T^{4}$$)($$1 - 690 T^{2} + 12117361 T^{4}$$)($$( 1 - 59 T )( 1 + 59 T )$$)($$( 1 - 59 T )( 1 + 59 T )$$)($$( 1 - 59 T )( 1 + 59 T )$$)($$1 - 5938 T^{2} + 12117361 T^{4}$$)($$1 + 1150 T^{2} + 12117361 T^{4}$$)($$( 1 - 59 T )^{2}( 1 + 59 T )^{2}$$)($$1 - 4258 T^{2} + 12117361 T^{4}$$)($$1 - 5938 T^{2} + 12117361 T^{4}$$)($$1 - 6530 T^{2} + 12117361 T^{4}$$)($$1 - 260 T^{2} + 462054 T^{4} - 3150513860 T^{6} + 146830437604321 T^{8}$$)($$( 1 - 3406 T^{2} + 12117361 T^{4} )^{4}$$)($$( 1 + 5810 T^{2} + 12117361 T^{4} )^{4}$$)($$1 - 206 T + 21218 T^{2} - 1942462 T^{3} + 171214239 T^{4} - 11916831972 T^{5} + 708622973852 T^{6} - 41482492094532 T^{7} + 2074664742303279 T^{8} - 81934083737364142 T^{9} + 3115448225088482978 T^{10} -$$$$10\!\cdots\!06$$$$T^{11} +$$$$17\!\cdots\!81$$$$T^{12}$$)($$1 - 11621240 T^{4} - 131007530650980 T^{8} +$$$$57\!\cdots\!44$$$$T^{12} +$$$$25\!\cdots\!66$$$$T^{16} +$$$$84\!\cdots\!24$$$$T^{20} -$$$$28\!\cdots\!80$$$$T^{24} -$$$$36\!\cdots\!40$$$$T^{28} +$$$$46\!\cdots\!81$$$$T^{32}$$)($$1 + 128 T + 8192 T^{2} + 1121408 T^{3} + 136226184 T^{4} + 9279937408 T^{5} + 700645040128 T^{6} + 71627082366848 T^{7} + 5234572115355804 T^{8} + 316007889653226112 T^{9} + 25502997282495045632 T^{10} +$$$$19\!\cdots\!80$$$$T^{11} +$$$$10\!\cdots\!40$$$$T^{12} +$$$$69\!\cdots\!16$$$$T^{13} +$$$$51\!\cdots\!56$$$$T^{14} +$$$$29\!\cdots\!24$$$$T^{15} +$$$$15\!\cdots\!38$$$$T^{16} +$$$$10\!\cdots\!44$$$$T^{17} +$$$$62\!\cdots\!16$$$$T^{18} +$$$$29\!\cdots\!56$$$$T^{19} +$$$$16\!\cdots\!40$$$$T^{20} +$$$$98\!\cdots\!80$$$$T^{21} +$$$$45\!\cdots\!92$$$$T^{22} +$$$$19\!\cdots\!32$$$$T^{23} +$$$$11\!\cdots\!64$$$$T^{24} +$$$$53\!\cdots\!08$$$$T^{25} +$$$$18\!\cdots\!28$$$$T^{26} +$$$$84\!\cdots\!48$$$$T^{27} +$$$$43\!\cdots\!24$$$$T^{28} +$$$$12\!\cdots\!28$$$$T^{29} +$$$$31\!\cdots\!32$$$$T^{30} +$$$$17\!\cdots\!28$$$$T^{31} +$$$$46\!\cdots\!81$$$$T^{32}$$)($$( 1 - 238 T^{2} + 12117361 T^{4} )^{2}( 1 + 238 T^{2} - 12060717 T^{4} + 2883931918 T^{6} + 146830437604321 T^{8} )$$)($$1 + 93 T + 6364 T^{2} + 323733 T^{3} + 12117361 T^{4}$$)($$1 - 93 T + 6364 T^{2} - 323733 T^{3} + 12117361 T^{4}$$)($$1 + 73 T^{2} - 12112032 T^{4} + 884567353 T^{6} + 146830437604321 T^{8}$$)($$1 + 306 T + 52768 T^{2} + 6596136 T^{3} + 655249567 T^{4} + 54840345300 T^{5} + 4031461665844 T^{6} + 267864455425266 T^{7} + 16404403358884120 T^{8} + 932436169335350946 T^{9} + 48850676362693117684 T^{10} +$$$$23\!\cdots\!00$$$$T^{11} +$$$$96\!\cdots\!07$$$$T^{12} +$$$$33\!\cdots\!36$$$$T^{13} +$$$$93\!\cdots\!08$$$$T^{14} +$$$$18\!\cdots\!66$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$( 1 + 3587 T^{2} + 749208 T^{4} + 43464973907 T^{6} + 146830437604321 T^{8} )^{2}$$)($$1 - 306 T + 52768 T^{2} - 6596136 T^{3} + 655249567 T^{4} - 54840345300 T^{5} + 4031461665844 T^{6} - 267864455425266 T^{7} + 16404403358884120 T^{8} - 932436169335350946 T^{9} + 48850676362693117684 T^{10} -$$$$23\!\cdots\!00$$$$T^{11} +$$$$96\!\cdots\!07$$$$T^{12} -$$$$33\!\cdots\!36$$$$T^{13} +$$$$93\!\cdots\!08$$$$T^{14} -$$$$18\!\cdots\!66$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 + 18092 T^{2} + 175903662 T^{4} + 1133035156984 T^{6} + 5240167912552121 T^{8} + 17175194950853605128 T^{10} +$$$$35\!\cdots\!18$$$$T^{12} +$$$$21\!\cdots\!16$$$$T^{14} -$$$$83\!\cdots\!68$$$$T^{16} +$$$$26\!\cdots\!76$$$$T^{18} +$$$$52\!\cdots\!78$$$$T^{20} +$$$$30\!\cdots\!68$$$$T^{22} +$$$$11\!\cdots\!61$$$$T^{24} +$$$$29\!\cdots\!84$$$$T^{26} +$$$$55\!\cdots\!82$$$$T^{28} +$$$$69\!\cdots\!32$$$$T^{30} +$$$$46\!\cdots\!81$$$$T^{32}$$)($$1 + 23249 T^{2} + 269566150 T^{4} + 2199602535735 T^{6} + 14685465352601370 T^{8} + 85057528205183792511 T^{10} +$$$$43\!\cdots\!00$$$$T^{12} +$$$$20\!\cdots\!39$$$$T^{14} +$$$$86\!\cdots\!05$$$$T^{16} +$$$$33\!\cdots\!10$$$$T^{18} +$$$$12\!\cdots\!16$$$$T^{20} +$$$$40\!\cdots\!10$$$$T^{22} +$$$$12\!\cdots\!05$$$$T^{24} +$$$$36\!\cdots\!59$$$$T^{26} +$$$$94\!\cdots\!00$$$$T^{28} +$$$$22\!\cdots\!11$$$$T^{30} +$$$$46\!\cdots\!70$$$$T^{32} +$$$$84\!\cdots\!35$$$$T^{34} +$$$$12\!\cdots\!50$$$$T^{36} +$$$$13\!\cdots\!09$$$$T^{38} +$$$$68\!\cdots\!01$$$$T^{40}$$)($$1 - 87 T + 6004 T^{2} - 302847 T^{3} + 12117361 T^{4}$$)($$1 + 87 T + 6004 T^{2} + 302847 T^{3} + 12117361 T^{4}$$)($$1 + 18 T + 6969 T^{2} + 123498 T^{3} + 35331908 T^{4} + 429896538 T^{5} + 84445888809 T^{6} + 759249605538 T^{7} + 146830437604321 T^{8}$$)($$1 + 126 T + 11993 T^{2} + 844326 T^{3} + 51207492 T^{4} + 2939098806 T^{5} + 145323510473 T^{6} + 5314747238766 T^{7} + 146830437604321 T^{8}$$)($$1 - 126 T + 10535 T^{2} - 660618 T^{3} + 33793140 T^{4} - 2299611258 T^{5} + 127656398135 T^{6} - 5314747238766 T^{7} + 146830437604321 T^{8}$$)($$1 + 126 T + 10535 T^{2} + 660618 T^{3} + 33793140 T^{4} + 2299611258 T^{5} + 127656398135 T^{6} + 5314747238766 T^{7} + 146830437604321 T^{8}$$)($$1 - 126 T + 11993 T^{2} - 844326 T^{3} + 51207492 T^{4} - 2939098806 T^{5} + 145323510473 T^{6} - 5314747238766 T^{7} + 146830437604321 T^{8}$$)($$1 - 18 T + 6969 T^{2} - 123498 T^{3} + 35331908 T^{4} - 429896538 T^{5} + 84445888809 T^{6} - 759249605538 T^{7} + 146830437604321 T^{8}$$)($$1 - 108 T + 14820 T^{2} - 1180656 T^{3} + 104177575 T^{4} - 7489417356 T^{5} + 509063599692 T^{6} - 32920352322696 T^{7} + 1903340903262096 T^{8} - 114595746435304776 T^{9} + 6168507409427452812 T^{10} -$$$$31\!\cdots\!96$$$$T^{11} +$$$$15\!\cdots\!75$$$$T^{12} -$$$$60\!\cdots\!56$$$$T^{13} +$$$$26\!\cdots\!20$$$$T^{14} -$$$$66\!\cdots\!88$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 + 108 T + 14820 T^{2} + 1180656 T^{3} + 104177575 T^{4} + 7489417356 T^{5} + 509063599692 T^{6} + 32920352322696 T^{7} + 1903340903262096 T^{8} + 114595746435304776 T^{9} + 6168507409427452812 T^{10} +$$$$31\!\cdots\!96$$$$T^{11} +$$$$15\!\cdots\!75$$$$T^{12} +$$$$60\!\cdots\!56$$$$T^{13} +$$$$26\!\cdots\!20$$$$T^{14} +$$$$66\!\cdots\!88$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16}$$)
$61$ ($$( 1 - 74 T + 3721 T^{2} )^{2}( 1 + 74 T + 3721 T^{2} )^{2}$$)($$( 1 - 61 T )^{4}( 1 + 61 T )^{4}$$)($$( 1 - 74 T + 3721 T^{2} )^{2}( 1 + 74 T + 3721 T^{2} )^{2}$$)($$( 1 + 670 T^{2} + 13845841 T^{4} )^{2}$$)($$( 1 - 61 T )^{4}( 1 + 61 T )^{4}$$)($$( 1 - 14 T + 3721 T^{2} )^{2}$$)($$( 1 - 54 T + 3721 T^{2} )^{2}$$)($$( 1 + 50 T + 3721 T^{2} )^{2}$$)($$( 1 - 22 T + 3721 T^{2} )^{2}$$)($$( 1 - 22 T + 3721 T^{2} )^{2}$$)($$( 1 + 50 T + 3721 T^{2} )^{2}$$)($$( 1 - 54 T + 3721 T^{2} )^{2}$$)($$( 1 - 14 T + 3721 T^{2} )^{2}$$)($$1 - 22 T + 3721 T^{2}$$)($$1 - 22 T + 3721 T^{2}$$)($$1 - 22 T + 3721 T^{2}$$)($$( 1 - 62 T + 3721 T^{2} )^{2}$$)($$( 1 + 26 T + 3721 T^{2} )^{2}$$)($$( 1 + 74 T + 3721 T^{2} )^{2}$$)($$( 1 + 82 T + 3721 T^{2} )^{2}$$)($$( 1 - 62 T + 3721 T^{2} )^{2}$$)($$( 1 - 70 T + 3721 T^{2} )^{2}$$)($$( 1 - 14 T + 3721 T^{2} )^{4}$$)($$( 1 - 2642 T^{2} + 13845841 T^{4} )^{4}$$)($$( 1 - 61 T )^{8}( 1 + 61 T )^{8}$$)($$1 - 30 T + 450 T^{2} - 111694 T^{3} + 33268655 T^{4} - 582006980 T^{5} + 8727089468 T^{6} - 2165647972580 T^{7} + 460632507413855 T^{8} - 5754516693877534 T^{9} + 86268290848776450 T^{10} - 21400287349886478030 T^{11} +$$$$26\!\cdots\!21$$$$T^{12}$$)($$( 1 + 16 T + 128 T^{2} + 6576 T^{3} - 8849956 T^{4} - 175483376 T^{5} - 1653317760 T^{6} - 420993646800 T^{7} - 32622960575354 T^{8} - 1566517359742800 T^{9} - 22891574827436160 T^{10} - 9040969225652122736 T^{11} -$$$$16\!\cdots\!36$$$$T^{12} +$$$$46\!\cdots\!76$$$$T^{13} +$$$$33\!\cdots\!88$$$$T^{14} +$$$$15\!\cdots\!56$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 32 T + 512 T^{2} - 38048 T^{3} - 60439624 T^{4} - 1520787552 T^{5} - 16996289024 T^{6} + 2981900088544 T^{7} + 2018049968078364 T^{8} + 40394929489472928 T^{9} + 275088896591278592 T^{10} -$$$$10\!\cdots\!56$$$$T^{11} -$$$$45\!\cdots\!20$$$$T^{12} -$$$$71\!\cdots\!16$$$$T^{13} -$$$$18\!\cdots\!28$$$$T^{14} +$$$$23\!\cdots\!64$$$$T^{15} +$$$$72\!\cdots\!42$$$$T^{16} +$$$$88\!\cdots\!44$$$$T^{17} -$$$$26\!\cdots\!48$$$$T^{18} -$$$$36\!\cdots\!76$$$$T^{19} -$$$$86\!\cdots\!20$$$$T^{20} -$$$$75\!\cdots\!56$$$$T^{21} +$$$$73\!\cdots\!32$$$$T^{22} +$$$$39\!\cdots\!48$$$$T^{23} +$$$$74\!\cdots\!04$$$$T^{24} +$$$$40\!\cdots\!64$$$$T^{25} -$$$$86\!\cdots\!24$$$$T^{26} -$$$$28\!\cdots\!92$$$$T^{27} -$$$$42\!\cdots\!84$$$$T^{28} -$$$$99\!\cdots\!28$$$$T^{29} +$$$$49\!\cdots\!72$$$$T^{30} +$$$$11\!\cdots\!32$$$$T^{31} +$$$$13\!\cdots\!21$$$$T^{32}$$)($$( 1 - 61 T + 3721 T^{2} )^{4}( 1 + 61 T + 3721 T^{2} )^{4}$$)($$1 + 16 T - 3465 T^{2} + 59536 T^{3} + 13845841 T^{4}$$)($$1 + 16 T - 3465 T^{2} + 59536 T^{3} + 13845841 T^{4}$$)($$( 1 - 25 T - 3096 T^{2} - 93025 T^{3} + 13845841 T^{4} )^{2}$$)($$1 + 7 T - 8478 T^{2} + 347909 T^{3} + 38508983 T^{4} - 2257992504 T^{5} - 39583245248 T^{6} + 5257966541956 T^{7} - 30952228546836 T^{8} + 19564893502618276 T^{9} - 548063319967813568 T^{10} -$$$$11\!\cdots\!44$$$$T^{11} +$$$$73\!\cdots\!23$$$$T^{12} +$$$$24\!\cdots\!09$$$$T^{13} -$$$$22\!\cdots\!38$$$$T^{14} +$$$$69\!\cdots\!87$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$( 1 - 7 T - 7169 T^{2} + 1568 T^{3} + 38071354 T^{4} + 5834528 T^{5} - 99260834129 T^{6} - 360642620527 T^{7} + 191707312997281 T^{8} )^{2}$$)($$1 + 7 T - 8478 T^{2} + 347909 T^{3} + 38508983 T^{4} - 2257992504 T^{5} - 39583245248 T^{6} + 5257966541956 T^{7} - 30952228546836 T^{8} + 19564893502618276 T^{9} - 548063319967813568 T^{10} -$$$$11\!\cdots\!44$$$$T^{11} +$$$$73\!\cdots\!23$$$$T^{12} +$$$$24\!\cdots\!09$$$$T^{13} -$$$$22\!\cdots\!38$$$$T^{14} +$$$$69\!\cdots\!87$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$( 1 - 17 T - 3582 T^{2} + 125549 T^{3} - 18305593 T^{4} + 350178696 T^{5} - 12273736208 T^{6} - 2060229775052 T^{7} + 599123836260396 T^{8} - 7666114992968492 T^{9} - 169940200011910928 T^{10} + 18041337511166813256 T^{11} -$$$$35\!\cdots\!33$$$$T^{12} +$$$$89\!\cdots\!49$$$$T^{13} -$$$$95\!\cdots\!22$$$$T^{14} -$$$$16\!\cdots\!97$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 193 T + 9025 T^{2} - 147006 T^{3} + 22303830 T^{4} + 3774644214 T^{5} - 6126499653 T^{6} - 2197721993529 T^{7} + 972253625928867 T^{8} + 12348151119746248 T^{9} - 3768408239977094156 T^{10} + 45947470316575788808 T^{11} +$$$$13\!\cdots\!47$$$$T^{12} -$$$$11\!\cdots\!69$$$$T^{13} -$$$$11\!\cdots\!93$$$$T^{14} +$$$$26\!\cdots\!14$$$$T^{15} +$$$$59\!\cdots\!30$$$$T^{16} -$$$$14\!\cdots\!46$$$$T^{17} +$$$$33\!\cdots\!25$$$$T^{18} +$$$$26\!\cdots\!33$$$$T^{19} +$$$$50\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 56 T - 585 T^{2} - 208376 T^{3} + 13845841 T^{4}$$)($$1 - 56 T - 585 T^{2} - 208376 T^{3} + 13845841 T^{4}$$)($$1 - 62 T - 4463 T^{2} - 53630 T^{3} + 40856884 T^{4} - 199557230 T^{5} - 61793988383 T^{6} - 3194263210382 T^{7} + 191707312997281 T^{8}$$)($$1 + 41 T - 5513 T^{2} - 10168 T^{3} + 31652794 T^{4} - 37835128 T^{5} - 76332121433 T^{6} + 2112335348801 T^{7} + 191707312997281 T^{8}$$)($$1 + 62 T - 2615 T^{2} - 60946 T^{3} + 13569316 T^{4} - 226780066 T^{5} - 36206874215 T^{6} + 3194263210382 T^{7} + 191707312997281 T^{8}$$)($$1 + 62 T - 2615 T^{2} - 60946 T^{3} + 13569316 T^{4} - 226780066 T^{5} - 36206874215 T^{6} + 3194263210382 T^{7} + 191707312997281 T^{8}$$)($$1 + 41 T - 5513 T^{2} - 10168 T^{3} + 31652794 T^{4} - 37835128 T^{5} - 76332121433 T^{6} + 2112335348801 T^{7} + 191707312997281 T^{8}$$)($$1 - 62 T - 4463 T^{2} - 53630 T^{3} + 40856884 T^{4} - 199557230 T^{5} - 61793988383 T^{6} - 3194263210382 T^{7} + 191707312997281 T^{8}$$)($$1 + 14 T - 6633 T^{2} - 472862 T^{3} + 19891733 T^{4} + 2361270204 T^{5} + 99631636810 T^{6} - 5929775489824 T^{7} - 599620944879702 T^{8} - 22064694597635104 T^{9} + 1379483801841007210 T^{10} +$$$$12\!\cdots\!44$$$$T^{11} +$$$$38\!\cdots\!73$$$$T^{12} -$$$$33\!\cdots\!62$$$$T^{13} -$$$$17\!\cdots\!93$$$$T^{14} +$$$$13\!\cdots\!74$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 + 14 T - 6633 T^{2} - 472862 T^{3} + 19891733 T^{4} + 2361270204 T^{5} + 99631636810 T^{6} - 5929775489824 T^{7} - 599620944879702 T^{8} - 22064694597635104 T^{9} + 1379483801841007210 T^{10} +$$$$12\!\cdots\!44$$$$T^{11} +$$$$38\!\cdots\!73$$$$T^{12} -$$$$33\!\cdots\!62$$$$T^{13} -$$$$17\!\cdots\!93$$$$T^{14} +$$$$13\!\cdots\!74$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16}$$)
$67$ ($$( 1 + 6626 T^{2} + 20151121 T^{4} )^{2}$$)($$( 1 + 4489 T^{2} )^{4}$$)($$( 1 + 5906 T^{2} + 20151121 T^{4} )^{2}$$)($$( 1 + 2630 T^{2} + 20151121 T^{4} )^{2}$$)($$( 1 + 5090 T^{2} + 20151121 T^{4} )^{2}$$)($$( 1 + 88 T + 4489 T^{2} )^{2}$$)($$( 1 + 80 T + 4489 T^{2} )^{2}$$)($$( 1 + 8 T + 4489 T^{2} )^{2}$$)($$( 1 + 4489 T^{2} )^{2}$$)($$( 1 + 4489 T^{2} )^{2}$$)($$( 1 - 8 T + 4489 T^{2} )^{2}$$)($$( 1 - 80 T + 4489 T^{2} )^{2}$$)($$( 1 - 88 T + 4489 T^{2} )^{2}$$)($$( 1 - 67 T )( 1 + 67 T )$$)($$( 1 - 67 T )( 1 + 67 T )$$)($$( 1 - 67 T )( 1 + 67 T )$$)($$1 - 2578 T^{2} + 20151121 T^{4}$$)($$1 - 8930 T^{2} + 20151121 T^{4}$$)($$( 1 - 122 T + 4489 T^{2} )( 1 + 122 T + 4489 T^{2} )$$)($$1 - 8962 T^{2} + 20151121 T^{4}$$)($$1 - 2578 T^{2} + 20151121 T^{4}$$)($$1 + 4894 T^{2} + 20151121 T^{4}$$)($$1 - 11204 T^{2} + 62050854 T^{4} - 225773159684 T^{6} + 406067677556641 T^{8}$$)($$( 1 - 8194 T^{2} + 20151121 T^{4} )^{4}$$)($$( 1 + 1022 T^{2} + 20151121 T^{4} )^{4}$$)($$1 - 226 T + 25538 T^{2} - 2083538 T^{3} + 120508479 T^{4} - 5203289532 T^{5} + 268963196252 T^{6} - 23357566709148 T^{7} + 2428380941854959 T^{8} - 188473476667633922 T^{9} + 10370156349441497858 T^{10} -$$$$41\!\cdots\!74$$$$T^{11} +$$$$81\!\cdots\!61$$$$T^{12}$$)($$( 1 - 128 T + 8192 T^{2} - 693376 T^{3} + 50920004 T^{4} - 2251590016 T^{5} + 111451987968 T^{6} - 7277319415168 T^{7} + 468898776356806 T^{8} - 32667886854689152 T^{9} + 2245882495233712128 T^{10} -$$$$20\!\cdots\!04$$$$T^{11} +$$$$20\!\cdots\!64$$$$T^{12} -$$$$12\!\cdots\!24$$$$T^{13} +$$$$67\!\cdots\!12$$$$T^{14} -$$$$47\!\cdots\!12$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 320 T + 51200 T^{2} + 6047552 T^{3} + 641735304 T^{4} + 64228593856 T^{5} + 5982745065472 T^{6} + 525110406070976 T^{7} + 43992629224199580 T^{8} + 3502096836597496384 T^{9} +$$$$26\!\cdots\!12$$$$T^{10} +$$$$19\!\cdots\!80$$$$T^{11} +$$$$14\!\cdots\!20$$$$T^{12} +$$$$10\!\cdots\!88$$$$T^{13} +$$$$71\!\cdots\!04$$$$T^{14} +$$$$48\!\cdots\!52$$$$T^{15} +$$$$32\!\cdots\!74$$$$T^{16} +$$$$21\!\cdots\!28$$$$T^{17} +$$$$14\!\cdots\!84$$$$T^{18} +$$$$93\!\cdots\!72$$$$T^{19} +$$$$58\!\cdots\!20$$$$T^{20} +$$$$36\!\cdots\!20$$$$T^{21} +$$$$21\!\cdots\!32$$$$T^{22} +$$$$12\!\cdots\!36$$$$T^{23} +$$$$72\!\cdots\!80$$$$T^{24} +$$$$38\!\cdots\!84$$$$T^{25} +$$$$19\!\cdots\!72$$$$T^{26} +$$$$95\!\cdots\!84$$$$T^{27} +$$$$42\!\cdots\!84$$$$T^{28} +$$$$18\!\cdots\!88$$$$T^{29} +$$$$69\!\cdots\!00$$$$T^{30} +$$$$19\!\cdots\!80$$$$T^{31} +$$$$27\!\cdots\!61$$$$T^{32}$$)($$( 1 - 5134 T^{2} + 20151121 T^{4} )^{2}( 1 + 5134 T^{2} + 6206835 T^{4} + 103455855214 T^{6} + 406067677556641 T^{8} )$$)($$( 1 - 67 T )^{2}( 1 - 67 T + 4489 T^{2} )$$)($$( 1 + 67 T )^{2}( 1 + 67 T + 4489 T^{2} )$$)($$1 - 1223 T^{2} - 18655392 T^{4} - 24644820983 T^{6} + 406067677556641 T^{8}$$)($$1 - 12 T + 11866 T^{2} - 141816 T^{3} + 66010801 T^{4} - 721613340 T^{5} + 400272803818 T^{6} - 3347530167216 T^{7} + 2268475959596500 T^{8} - 15027062920632624 T^{9} + 8065945702745779978 T^{10} - 65275975287968534460 T^{11} +$$$$26\!\cdots\!41$$$$T^{12} -$$$$25\!\cdots\!84$$$$T^{13} +$$$$97\!\cdots\!26$$$$T^{14} -$$$$44\!\cdots\!48$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16}$$)($$( 1 + 8411 T^{2} + 50593800 T^{4} + 169491078731 T^{6} + 406067677556641 T^{8} )^{2}$$)($$1 + 12 T + 11866 T^{2} + 141816 T^{3} + 66010801 T^{4} + 721613340 T^{5} + 400272803818 T^{6} + 3347530167216 T^{7} + 2268475959596500 T^{8} + 15027062920632624 T^{9} + 8065945702745779978 T^{10} + 65275975287968534460 T^{11} +$$$$26\!\cdots\!41$$$$T^{12} +$$$$25\!\cdots\!84$$$$T^{13} +$$$$97\!\cdots\!26$$$$T^{14} +$$$$44\!\cdots\!48$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16}$$)($$1 + 25148 T^{2} + 330341646 T^{4} + 3017899283800 T^{6} + 21559886998912025 T^{8} +$$$$12\!\cdots\!60$$$$T^{10} +$$$$66\!\cdots\!50$$$$T^{12} +$$$$31\!\cdots\!76$$$$T^{14} +$$$$14\!\cdots\!68$$$$T^{16} +$$$$63\!\cdots\!96$$$$T^{18} +$$$$27\!\cdots\!50$$$$T^{20} +$$$$10\!\cdots\!60$$$$T^{22} +$$$$35\!\cdots\!25$$$$T^{24} +$$$$10\!\cdots\!00$$$$T^{26} +$$$$22\!\cdots\!66$$$$T^{28} +$$$$33\!\cdots\!68$$$$T^{30} +$$$$27\!\cdots\!61$$$$T^{32}$$)($$1 + 30593 T^{2} + 471701974 T^{4} + 5123646516087 T^{6} + 45037951533430890 T^{8} +$$$$33\!\cdots\!71$$$$T^{10} +$$$$22\!\cdots\!00$$$$T^{12} +$$$$12\!\cdots\!75$$$$T^{14} +$$$$69\!\cdots\!57$$$$T^{16} +$$$$34\!\cdots\!62$$$$T^{18} +$$$$16\!\cdots\!36$$$$T^{20} +$$$$70\!\cdots\!02$$$$T^{22} +$$$$28\!\cdots\!37$$$$T^{24} +$$$$10\!\cdots\!75$$$$T^{26} +$$$$36\!\cdots\!00$$$$T^{28} +$$$$11\!\cdots\!71$$$$T^{30} +$$$$30\!\cdots\!90$$$$T^{32} +$$$$69\!\cdots\!67$$$$T^{34} +$$$$12\!\cdots\!14$$$$T^{36} +$$$$16\!\cdots\!33$$$$T^{38} +$$$$11\!\cdots\!01$$$$T^{40}$$)($$1 - 31 T - 3528 T^{2} - 139159 T^{3} + 20151121 T^{4}$$)($$1 + 31 T - 3528 T^{2} + 139159 T^{3} + 20151121 T^{4}$$)($$1 + 22 T + 985 T^{2} - 208538 T^{3} - 22072796 T^{4} - 936127082 T^{5} + 19848854185 T^{6} + 1990084407718 T^{7} + 406067677556641 T^{8}$$)($$1 + 116 T + 3787 T^{2} + 80156 T^{3} + 12934456 T^{4} + 359820284 T^{5} + 76312295227 T^{6} + 10493172331604 T^{7} + 406067677556641 T^{8}$$)($$1 + 106 T - 65 T^{2} + 246238 T^{3} + 57123076 T^{4} + 1105362382 T^{5} - 1309822865 T^{6} + 9588588509914 T^{7} + 406067677556641 T^{8}$$)($$1 - 106 T - 65 T^{2} - 246238 T^{3} + 57123076 T^{4} - 1105362382 T^{5} - 1309822865 T^{6} - 9588588509914 T^{7} + 406067677556641 T^{8}$$)($$1 - 116 T + 3787 T^{2} - 80156 T^{3} + 12934456 T^{4} - 359820284 T^{5} + 76312295227 T^{6} - 10493172331604 T^{7} + 406067677556641 T^{8}$$)($$1 - 22 T + 985 T^{2} + 208538 T^{3} - 22072796 T^{4} + 936127082 T^{5} + 19848854185 T^{6} - 1990084407718 T^{7} + 406067677556641 T^{8}$$)($$1 - 20 T - 15756 T^{2} + 141560 T^{3} + 151491335 T^{4} - 601531260 T^{5} - 1010166803204 T^{6} + 1012785207880 T^{7} + 5163639663893904 T^{8} + 4546392798173320 T^{9} - 20355993481546991684 T^{10} - 54413544603680102940 T^{11} +$$$$61\!\cdots\!35$$$$T^{12} +$$$$25\!\cdots\!40$$$$T^{13} -$$$$12\!\cdots\!16$$$$T^{14} -$$$$73\!\cdots\!80$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16}$$)($$1 + 20 T - 15756 T^{2} - 141560 T^{3} + 151491335 T^{4} + 601531260 T^{5} - 1010166803204 T^{6} - 1012785207880 T^{7} + 5163639663893904 T^{8} - 4546392798173320 T^{9} - 20355993481546991684 T^{10} + 54413544603680102940 T^{11} +$$$$61\!\cdots\!35$$$$T^{12} -$$$$25\!\cdots\!40$$$$T^{13} -$$$$12\!\cdots\!16$$$$T^{14} +$$$$73\!\cdots\!80$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16}$$)
$71$ ($$( 1 - 6482 T^{2} + 25411681 T^{4} )^{2}$$)($$( 1 - 71 T )^{4}( 1 + 71 T )^{4}$$)($$( 1 - 71 T )^{4}( 1 + 71 T )^{4}$$)($$( 1 + 4318 T^{2} + 25411681 T^{4} )^{2}$$)($$( 1 + 1582 T^{2} + 25411681 T^{4} )^{2}$$)($$1 - 9282 T^{2} + 25411681 T^{4}$$)($$1 - 3810 T^{2} + 25411681 T^{4}$$)($$1 - 7490 T^{2} + 25411681 T^{4}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$1 - 7490 T^{2} + 25411681 T^{4}$$)($$1 - 3810 T^{2} + 25411681 T^{4}$$)($$1 - 9282 T^{2} + 25411681 T^{4}$$)($$( 1 - 71 T )( 1 + 71 T )$$)($$( 1 - 71 T )( 1 + 71 T )$$)($$( 1 - 71 T )( 1 + 71 T )$$)($$1 + 6302 T^{2} + 25411681 T^{4}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$1 - 6946 T^{2} + 25411681 T^{4}$$)($$1 + 6302 T^{2} + 25411681 T^{4}$$)($$1 - 3170 T^{2} + 25411681 T^{4}$$)($$1 - 3140 T^{2} + 9051462 T^{4} - 79792678340 T^{6} + 645753531245761 T^{8}$$)($$( 1 - 7178 T^{2} + 25411681 T^{4} )^{4}$$)($$( 1 - 4682 T^{2} + 25411681 T^{4} )^{4}$$)($$( 1 + 130 T + 11575 T^{2} + 918796 T^{3} + 58349575 T^{4} + 3303518530 T^{5} + 128100283921 T^{6} )^{2}$$)($$( 1 + 776 T^{2} + 40385436 T^{4} - 127559387592 T^{6} + 690614216465094 T^{8} - 3241498466043262152 T^{10} +$$$$26\!\cdots\!96$$$$T^{12} +$$$$12\!\cdots\!16$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 256 T + 68104 T^{2} - 10692864 T^{3} + 1610923548 T^{4} - 179723087616 T^{5} + 18972832358712 T^{6} - 1588998739085056 T^{7} + 125568612540426694 T^{8} - 8010142643727767296 T^{9} +$$$$48\!\cdots\!72$$$$T^{10} -$$$$23\!\cdots\!36$$$$T^{11} +$$$$10\!\cdots\!28$$$$T^{12} -$$$$34\!\cdots\!64$$$$T^{13} +$$$$11\!\cdots\!64$$$$T^{14} -$$$$21\!\cdots\!36$$$$T^{15} +$$$$41\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 71 T )^{8}( 1 + 71 T )^{8}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 10078 T^{2} + 25411681 T^{4} )^{2}$$)($$1 - 14120 T^{2} + 150082588 T^{4} - 1080637518872 T^{6} + 6319440918414790 T^{8} - 27460815906206743832 T^{10} +$$$$96\!\cdots\!68$$$$T^{12} -$$$$23\!\cdots\!20$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16}$$)($$( 1 - 7922 T^{2} + 25411681 T^{4} )^{4}$$)($$1 - 14120 T^{2} + 150082588 T^{4} - 1080637518872 T^{6} + 6319440918414790 T^{8} - 27460815906206743832 T^{10} +$$$$96\!\cdots\!68$$$$T^{12} -$$$$23\!\cdots\!20$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16}$$)($$( 1 - 12968 T^{2} + 137492380 T^{4} - 912038324888 T^{6} + 5454839368725190 T^{8} - 23176426971828216728 T^{10} +$$$$88\!\cdots\!80$$$$T^{12} -$$$$21\!\cdots\!88$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 22718 T^{2} + 288284445 T^{4} - 2564283265416 T^{6} + 17888516276784450 T^{8} -$$$$10\!\cdots\!80$$$$T^{10} +$$$$45\!\cdots\!50$$$$T^{12} -$$$$16\!\cdots\!76$$$$T^{14} +$$$$47\!\cdots\!45$$$$T^{16} -$$$$94\!\cdots\!78$$$$T^{18} +$$$$10\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 9110 T^{2} + 25411681 T^{4}$$)($$1 - 9110 T^{2} + 25411681 T^{4}$$)($$1 - 16452 T^{2} + 117605702 T^{4} - 418072975812 T^{6} + 645753531245761 T^{8}$$)($$1 - 18616 T^{2} + 137194926 T^{4} - 473063853496 T^{6} + 645753531245761 T^{8}$$)($$1 - 12460 T^{2} + 77194662 T^{4} - 316629545260 T^{6} + 645753531245761 T^{8}$$)($$1 - 12460 T^{2} + 77194662 T^{4} - 316629545260 T^{6} + 645753531245761 T^{8}$$)($$1 - 18616 T^{2} + 137194926 T^{4} - 473063853496 T^{6} + 645753531245761 T^{8}$$)($$1 - 16452 T^{2} + 117605702 T^{4} - 418072975812 T^{6} + 645753531245761 T^{8}$$)($$1 - 13464 T^{2} + 105773404 T^{4} - 696180849192 T^{6} + 3915811319568198 T^{8} - 17691125657976211752 T^{10} +$$$$68\!\cdots\!44$$$$T^{12} -$$$$22\!\cdots\!24$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16}$$)($$1 - 13464 T^{2} + 105773404 T^{4} - 696180849192 T^{6} + 3915811319568198 T^{8} - 17691125657976211752 T^{10} +$$$$68\!\cdots\!44$$$$T^{12} -$$$$22\!\cdots\!24$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16}$$)
$73$ ($$( 1 + 86 T + 5329 T^{2} )^{4}$$)($$( 1 + 50 T + 5329 T^{2} )^{4}$$)($$( 1 - 46 T + 5329 T^{2} )^{4}$$)($$( 1 - 58 T + 5329 T^{2} )^{4}$$)($$( 1 - 10 T + 5329 T^{2} )^{4}$$)($$( 1 + 80 T + 5329 T^{2} )^{2}$$)($$( 1 - 96 T + 5329 T^{2} )^{2}$$)($$( 1 + 16 T + 5329 T^{2} )^{2}$$)($$( 1 + 96 T + 5329 T^{2} )^{2}$$)($$( 1 - 96 T + 5329 T^{2} )^{2}$$)($$( 1 + 16 T + 5329 T^{2} )^{2}$$)($$( 1 - 96 T + 5329 T^{2} )^{2}$$)($$( 1 + 80 T + 5329 T^{2} )^{2}$$)($$1 - 110 T + 5329 T^{2}$$)($$1 + 110 T + 5329 T^{2}$$)($$1 - 110 T + 5329 T^{2}$$)($$( 1 + 66 T + 5329 T^{2} )^{2}$$)($$( 1 + 46 T + 5329 T^{2} )^{2}$$)($$( 1 - 46 T + 5329 T^{2} )^{2}$$)($$( 1 - 66 T + 5329 T^{2} )^{2}$$)($$( 1 + 66 T + 5329 T^{2} )^{2}$$)($$( 1 - 82 T + 5329 T^{2} )^{2}$$)($$( 1 + 60 T + 8486 T^{2} + 319740 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 - 20 T + 5329 T^{2} )^{8}$$)($$( 1 - 20 T + 5329 T^{2} )^{8}$$)($$1 - 13126 T^{2} + 103571951 T^{4} - 653716749588 T^{6} + 2941261225338191 T^{8} - 10585595166201707206 T^{10} +$$$$22\!\cdots\!21$$$$T^{12}$$)($$( 1 - 22536 T^{2} + 300646172 T^{4} - 2600139782456 T^{6} + 16379358145749190 T^{8} - 73839396175873059896 T^{10} +$$$$24\!\cdots\!32$$$$T^{12} -$$$$51\!\cdots\!56$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 - 42768 T^{2} + 946714744 T^{4} - 14391245893936 T^{6} + 167549428359087132 T^{8} -$$$$15\!\cdots\!24$$$$T^{10} +$$$$12\!\cdots\!76$$$$T^{12} -$$$$83\!\cdots\!96$$$$T^{14} +$$$$47\!\cdots\!22$$$$T^{16} -$$$$23\!\cdots\!36$$$$T^{18} +$$$$10\!\cdots\!56$$$$T^{20} -$$$$36\!\cdots\!04$$$$T^{22} +$$$$10\!\cdots\!52$$$$T^{24} -$$$$26\!\cdots\!36$$$$T^{26} +$$$$49\!\cdots\!04$$$$T^{28} -$$$$63\!\cdots\!08$$$$T^{30} +$$$$42\!\cdots\!21$$$$T^{32}$$)($$( 1 - 142 T + 14835 T^{2} - 756718 T^{3} + 28398241 T^{4} )^{4}$$)($$( 1 + 25 T + 5329 T^{2} )^{2}$$)($$( 1 + 25 T + 5329 T^{2} )^{2}$$)($$( 1 + 120 T + 5329 T^{2} )^{4}$$)($$( 1 - 37 T + 20314 T^{2} - 565891 T^{3} + 160126666 T^{4} - 3015633139 T^{5} + 576881867674 T^{6} - 5599366372693 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 + 55 T + 5508 T^{2} + 293095 T^{3} + 28398241 T^{4} )^{4}$$)($$( 1 - 37 T + 20314 T^{2} - 565891 T^{3} + 160126666 T^{4} - 3015633139 T^{5} + 576881867674 T^{6} - 5599366372693 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 - 29 T + 7774 T^{2} - 620747 T^{3} + 46170850 T^{4} - 3307960763 T^{5} + 220767925534 T^{6} - 4388692562381 T^{7} + 806460091894081 T^{8} )^{4}$$)($$( 1 + 42 T + 7454 T^{2} + 86688 T^{3} + 47339581 T^{4} + 1239531900 T^{5} + 252272627149 T^{6} + 2461786715808 T^{7} + 1128045322758206 T^{8} + 33871323859551402 T^{9} + 4297625829703557649 T^{10} )^{4}$$)($$( 1 - 65 T + 5329 T^{2} )^{2}$$)($$( 1 - 65 T + 5329 T^{2} )^{2}$$)($$( 1 - 20 T + 7302 T^{2} - 106580 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 - 43 T + 10452 T^{2} - 229147 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 + 104 T + 11418 T^{2} + 554216 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 + 104 T + 11418 T^{2} + 554216 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 - 43 T + 10452 T^{2} - 229147 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 - 20 T + 7302 T^{2} - 106580 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 + 38 T + 11485 T^{2} + 120314 T^{3} + 68572624 T^{4} + 641153306 T^{5} + 326153797885 T^{6} + 5750700598982 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 + 38 T + 11485 T^{2} + 120314 T^{3} + 68572624 T^{4} + 641153306 T^{5} + 326153797885 T^{6} + 5750700598982 T^{7} + 806460091894081 T^{8} )^{2}$$)
$79$ ($$( 1 - 11038 T^{2} + 38950081 T^{4} )^{2}$$)($$( 1 - 9118 T^{2} + 38950081 T^{4} )^{2}$$)($$( 1 + 7682 T^{2} + 38950081 T^{4} )^{2}$$)($$( 1 - 12226 T^{2} + 38950081 T^{4} )^{2}$$)($$( 1 - 9982 T^{2} + 38950081 T^{4} )^{2}$$)($$( 1 + 100 T + 6241 T^{2} )^{2}$$)($$( 1 - 104 T + 6241 T^{2} )^{2}$$)($$( 1 + 76 T + 6241 T^{2} )^{2}$$)($$( 1 + 6241 T^{2} )^{2}$$)($$( 1 + 6241 T^{2} )^{2}$$)($$( 1 - 76 T + 6241 T^{2} )^{2}$$)($$( 1 + 104 T + 6241 T^{2} )^{2}$$)($$( 1 - 100 T + 6241 T^{2} )^{2}$$)($$( 1 - 79 T )( 1 + 79 T )$$)($$( 1 - 79 T )( 1 + 79 T )$$)($$( 1 - 79 T )( 1 + 79 T )$$)($$1 - 12082 T^{2} + 38950081 T^{4}$$)($$1 + 1390 T^{2} + 38950081 T^{4}$$)($$( 1 - 142 T + 6241 T^{2} )( 1 + 142 T + 6241 T^{2} )$$)($$1 - 12226 T^{2} + 38950081 T^{4}$$)($$1 - 12082 T^{2} + 38950081 T^{4}$$)($$1 - 6674 T^{2} + 38950081 T^{4}$$)($$1 - 12548 T^{2} + 107282310 T^{4} - 488745616388 T^{6} + 1517108809906561 T^{8}$$)($$( 1 + 7190 T^{2} + 38950081 T^{4} )^{4}$$)($$( 1 + 9782 T^{2} + 38950081 T^{4} )^{4}$$)($$1 - 70 T^{2} + 84324175 T^{4} + 17226941804 T^{6} + 3284433446508175 T^{8} - 106197616693459270 T^{10} +$$$$59\!\cdots\!41$$$$T^{12}$$)($$( 1 - 35304 T^{2} + 608675620 T^{4} - 6614894483704 T^{6} + 49280941921260934 T^{8} -$$$$25\!\cdots\!24$$$$T^{10} +$$$$92\!\cdots\!20$$$$T^{12} -$$$$20\!\cdots\!64$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 62928 T^{2} + 1905826568 T^{4} - 37296559235888 T^{6} + 534425714020543644 T^{8} -$$$$60\!\cdots\!08$$$$T^{10} +$$$$55\!\cdots\!96$$$$T^{12} -$$$$43\!\cdots\!36$$$$T^{14} +$$$$29\!\cdots\!62$$$$T^{16} -$$$$16\!\cdots\!16$$$$T^{18} +$$$$84\!\cdots\!56$$$$T^{20} -$$$$35\!\cdots\!28$$$$T^{22} +$$$$12\!\cdots\!24$$$$T^{24} -$$$$33\!\cdots\!88$$$$T^{26} +$$$$66\!\cdots\!08$$$$T^{28} -$$$$85\!\cdots\!08$$$$T^{30} +$$$$52\!\cdots\!41$$$$T^{32}$$)($$( 1 - 6241 T^{2} + 38950081 T^{4} )^{4}$$)($$1 + 48 T + 7009 T^{2} + 299568 T^{3} + 38950081 T^{4}$$)($$1 - 48 T + 7009 T^{2} - 299568 T^{3} + 38950081 T^{4}$$)($$1 - 743 T^{2} - 38398032 T^{4} - 28939910183 T^{6} + 1517108809906561 T^{8}$$)($$1 + 33 T + 13924 T^{2} + 447513 T^{3} + 83250565 T^{4} + 4145960160 T^{5} + 461050019242 T^{6} + 35083235957766 T^{7} + 3234248047096936 T^{8} + 218954475612417606 T^{9} + 17957935594527458602 T^{10} +$$$$10\!\cdots\!60$$$$T^{11} +$$$$12\!\cdots\!65$$$$T^{12} +$$$$42\!\cdots\!13$$$$T^{13} +$$$$82\!\cdots\!84$$$$T^{14} +$$$$12\!\cdots\!73$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 + 20869 T^{2} + 251340865 T^{4} + 2217834902446 T^{6} + 15439711699511014 T^{8} + 86384849094898798126 T^{10} +$$$$38\!\cdots\!65$$$$T^{12} +$$$$12\!\cdots\!29$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 - 33 T + 13924 T^{2} - 447513 T^{3} + 83250565 T^{4} - 4145960160 T^{5} + 461050019242 T^{6} - 35083235957766 T^{7} + 3234248047096936 T^{8} - 218954475612417606 T^{9} + 17957935594527458602 T^{10} -$$$$10\!\cdots\!60$$$$T^{11} +$$$$12\!\cdots\!65$$$$T^{12} -$$$$42\!\cdots\!13$$$$T^{13} +$$$$82\!\cdots\!84$$$$T^{14} -$$$$12\!\cdots\!73$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 + 23147 T^{2} + 328058736 T^{4} + 3136165224559 T^{6} + 21315067551811709 T^{8} + 91269506056145418912 T^{10} +$$$$59\!\cdots\!06$$$$T^{12} -$$$$27\!\cdots\!10$$$$T^{14} -$$$$25\!\cdots\!44$$$$T^{16} -$$$$10\!\cdots\!10$$$$T^{18} +$$$$90\!\cdots\!66$$$$T^{20} +$$$$53\!\cdots\!92$$$$T^{22} +$$$$49\!\cdots\!89$$$$T^{24} +$$$$28\!\cdots\!59$$$$T^{26} +$$$$11\!\cdots\!16$$$$T^{28} +$$$$31\!\cdots\!67$$$$T^{30} +$$$$52\!\cdots\!41$$$$T^{32}$$)($$1 + 25823 T^{2} + 364910977 T^{4} + 4025110434966 T^{6} + 36605877001342698 T^{8} +$$$$27\!\cdots\!26$$$$T^{10} +$$$$19\!\cdots\!39$$$$T^{12} +$$$$12\!\cdots\!65$$$$T^{14} +$$$$71\!\cdots\!67$$$$T^{16} +$$$$41\!\cdots\!92$$$$T^{18} +$$$$25\!\cdots\!96$$$$T^{20} +$$$$16\!\cdots\!52$$$$T^{22} +$$$$10\!\cdots\!87$$$$T^{24} +$$$$72\!\cdots\!65$$$$T^{26} +$$$$44\!\cdots\!19$$$$T^{28} +$$$$25\!\cdots\!26$$$$T^{30} +$$$$12\!\cdots\!38$$$$T^{32} +$$$$54\!\cdots\!26$$$$T^{34} +$$$$19\!\cdots\!57$$$$T^{36} +$$$$53\!\cdots\!83$$$$T^{38} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$1 - 38 T - 4797 T^{2} - 237158 T^{3} + 38950081 T^{4}$$)($$1 + 38 T - 4797 T^{2} + 237158 T^{3} + 38950081 T^{4}$$)($$1 - 86 T - 2231 T^{2} + 245530 T^{3} + 7570612 T^{4} + 1532352730 T^{5} - 86897630711 T^{6} - 20905521174806 T^{7} + 1517108809906561 T^{8}$$)($$1 - 83 T - 5459 T^{2} + 11122 T^{3} + 70528774 T^{4} + 69412402 T^{5} - 212628492179 T^{6} - 20176258808243 T^{7} + 1517108809906561 T^{8}$$)($$1 + 14 T - 10985 T^{2} - 18214 T^{3} + 84841444 T^{4} - 113673574 T^{5} - 427866639785 T^{6} + 3403224377294 T^{7} + 1517108809906561 T^{8}$$)($$1 - 14 T - 10985 T^{2} + 18214 T^{3} + 84841444 T^{4} + 113673574 T^{5} - 427866639785 T^{6} - 3403224377294 T^{7} + 1517108809906561 T^{8}$$)($$1 + 83 T - 5459 T^{2} - 11122 T^{3} + 70528774 T^{4} - 69412402 T^{5} - 212628492179 T^{6} + 20176258808243 T^{7} + 1517108809906561 T^{8}$$)($$1 + 86 T - 2231 T^{2} - 245530 T^{3} + 7570612 T^{4} - 1532352730 T^{5} - 86897630711 T^{6} + 20905521174806 T^{7} + 1517108809906561 T^{8}$$)($$1 - 26 T - 12687 T^{2} + 773558 T^{3} + 64925093 T^{4} - 5836272936 T^{5} - 59707396922 T^{6} + 18106848362500 T^{7} - 289214375790438 T^{8} + 113004840630362500 T^{9} - 2325607946411050682 T^{10} -$$$$14\!\cdots\!56$$$$T^{11} +$$$$98\!\cdots\!73$$$$T^{12} +$$$$73\!\cdots\!58$$$$T^{13} -$$$$74\!\cdots\!67$$$$T^{14} -$$$$95\!\cdots\!06$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 + 26 T - 12687 T^{2} - 773558 T^{3} + 64925093 T^{4} + 5836272936 T^{5} - 59707396922 T^{6} - 18106848362500 T^{7} - 289214375790438 T^{8} - 113004840630362500 T^{9} - 2325607946411050682 T^{10} +$$$$14\!\cdots\!56$$$$T^{11} +$$$$98\!\cdots\!73$$$$T^{12} -$$$$73\!\cdots\!58$$$$T^{13} -$$$$74\!\cdots\!67$$$$T^{14} +$$$$95\!\cdots\!06$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16}$$)
$83$ ($$( 1 + 13586 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 + 4178 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 + 6889 T^{2} )^{4}$$)($$( 1 + 10310 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 + 13586 T^{2} + 47458321 T^{4} )^{2}$$)($$1 + 3150 T^{2} + 47458321 T^{4}$$)($$1 - 3410 T^{2} + 47458321 T^{4}$$)($$1 + 334 T^{2} + 47458321 T^{4}$$)($$( 1 - 83 T )^{2}( 1 + 83 T )^{2}$$)($$( 1 - 83 T )^{2}( 1 + 83 T )^{2}$$)($$1 + 334 T^{2} + 47458321 T^{4}$$)($$1 - 3410 T^{2} + 47458321 T^{4}$$)($$1 + 3150 T^{2} + 47458321 T^{4}$$)($$( 1 - 83 T )( 1 + 83 T )$$)($$( 1 - 83 T )( 1 + 83 T )$$)($$( 1 - 83 T )( 1 + 83 T )$$)($$1 - 13522 T^{2} + 47458321 T^{4}$$)($$1 - 11426 T^{2} + 47458321 T^{4}$$)($$( 1 - 83 T )^{2}( 1 + 83 T )^{2}$$)($$1 + 5822 T^{2} + 47458321 T^{4}$$)($$1 - 13522 T^{2} + 47458321 T^{4}$$)($$1 - 13346 T^{2} + 47458321 T^{4}$$)($$1 - 21188 T^{2} + 206547366 T^{4} - 1005546905348 T^{6} + 2252292232139041 T^{8}$$)($$( 1 + 7946 T^{2} + 47458321 T^{4} )^{4}$$)($$( 1 - 2422 T^{2} + 47458321 T^{4} )^{4}$$)($$1 - 318 T + 50562 T^{2} - 6712846 T^{3} + 819490815 T^{4} - 81203275140 T^{5} + 6918697616348 T^{6} - 559409362439460 T^{7} + 38891658154821615 T^{8} - 2194700377608598174 T^{9} +$$$$11\!\cdots\!42$$$$T^{10} -$$$$49\!\cdots\!82$$$$T^{11} +$$$$10\!\cdots\!61$$$$T^{12}$$)($$1 - 47654840 T^{4} - 1328477750370788 T^{8} +$$$$67\!\cdots\!96$$$$T^{12} +$$$$24\!\cdots\!06$$$$T^{16} +$$$$15\!\cdots\!36$$$$T^{20} -$$$$67\!\cdots\!28$$$$T^{24} -$$$$54\!\cdots\!40$$$$T^{28} +$$$$25\!\cdots\!61$$$$T^{32}$$)($$1 + 160 T + 12800 T^{2} + 895904 T^{3} + 107479624 T^{4} + 16432771168 T^{5} + 1654826188288 T^{6} + 174484645067104 T^{7} + 18280323695716892 T^{8} + 1483531366054758688 T^{9} +$$$$11\!\cdots\!96$$$$T^{10} +$$$$11\!\cdots\!36$$$$T^{11} +$$$$13\!\cdots\!00$$$$T^{12} +$$$$12\!\cdots\!44$$$$T^{13} +$$$$89\!\cdots\!76$$$$T^{14} +$$$$74\!\cdots\!76$$$$T^{15} +$$$$61\!\cdots\!66$$$$T^{16} +$$$$51\!\cdots\!64$$$$T^{17} +$$$$42\!\cdots\!96$$$$T^{18} +$$$$39\!\cdots\!36$$$$T^{19} +$$$$30\!\cdots\!00$$$$T^{20} +$$$$17\!\cdots\!64$$$$T^{21} +$$$$12\!\cdots\!56$$$$T^{22} +$$$$10\!\cdots\!52$$$$T^{23} +$$$$92\!\cdots\!52$$$$T^{24} +$$$$60\!\cdots\!36$$$$T^{25} +$$$$39\!\cdots\!88$$$$T^{26} +$$$$27\!\cdots\!52$$$$T^{27} +$$$$12\!\cdots\!04$$$$T^{28} +$$$$70\!\cdots\!76$$$$T^{29} +$$$$69\!\cdots\!00$$$$T^{30} +$$$$59\!\cdots\!40$$$$T^{31} +$$$$25\!\cdots\!61$$$$T^{32}$$)($$( 1 - 11186 T^{2} + 77668275 T^{4} - 530868778706 T^{6} + 2252292232139041 T^{8} )^{2}$$)($$1 - 60 T + 8089 T^{2} - 413340 T^{3} + 47458321 T^{4}$$)($$1 + 60 T + 8089 T^{2} + 413340 T^{3} + 47458321 T^{4}$$)($$1 + 10297 T^{2} + 58569888 T^{4} + 488678331337 T^{6} + 2252292232139041 T^{8}$$)($$1 - 549 T + 157876 T^{2} - 31517541 T^{3} + 4848813277 T^{4} - 610140548160 T^{5} + 65668976887426 T^{6} - 6260783050033902 T^{7} + 542374558465652968 T^{8} - 43130534431683550878 T^{9} +$$$$31\!\cdots\!46$$$$T^{10} -$$$$19\!\cdots\!40$$$$T^{11} +$$$$10\!\cdots\!57$$$$T^{12} -$$$$48\!\cdots\!09$$$$T^{13} +$$$$16\!\cdots\!36$$$$T^{14} -$$$$40\!\cdots\!21$$$$T^{15} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 + 16837 T^{2} + 138536161 T^{4} + 842384844142 T^{6} + 5304047075446774 T^{8} + 39978170338826005582 T^{10} +$$$$31\!\cdots\!01$$$$T^{12} +$$$$17\!\cdots\!57$$$$T^{14} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 + 549 T + 157876 T^{2} + 31517541 T^{3} + 4848813277 T^{4} + 610140548160 T^{5} + 65668976887426 T^{6} + 6260783050033902 T^{7} + 542374558465652968 T^{8} + 43130534431683550878 T^{9} +$$$$31\!\cdots\!46$$$$T^{10} +$$$$19\!\cdots\!40$$$$T^{11} +$$$$10\!\cdots\!57$$$$T^{12} +$$$$48\!\cdots\!09$$$$T^{13} +$$$$16\!\cdots\!36$$$$T^{14} +$$$$40\!\cdots\!21$$$$T^{15} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 + 17795 T^{2} + 28452672 T^{4} - 239952438809 T^{6} + 12519030554664557 T^{8} + 90364909803409302048 T^{10} -$$$$32\!\cdots\!46$$$$T^{12} +$$$$11\!\cdots\!22$$$$T^{14} +$$$$52\!\cdots\!80$$$$T^{16} +$$$$55\!\cdots\!62$$$$T^{18} -$$$$73\!\cdots\!86$$$$T^{20} +$$$$96\!\cdots\!28$$$$T^{22} +$$$$63\!\cdots\!17$$$$T^{24} -$$$$57\!\cdots\!09$$$$T^{26} +$$$$32\!\cdots\!12$$$$T^{28} +$$$$96\!\cdots\!95$$$$T^{30} +$$$$25\!\cdots\!61$$$$T^{32}$$)($$1 + 55463 T^{2} + 1623744289 T^{4} + 33247824657750 T^{6} + 532288500256403082 T^{8} +$$$$70\!\cdots\!74$$$$T^{10} +$$$$80\!\cdots\!55$$$$T^{12} +$$$$80\!\cdots\!69$$$$T^{14} +$$$$72\!\cdots\!99$$$$T^{16} +$$$$57\!\cdots\!20$$$$T^{18} +$$$$41\!\cdots\!40$$$$T^{20} +$$$$27\!\cdots\!20$$$$T^{22} +$$$$16\!\cdots\!59$$$$T^{24} +$$$$86\!\cdots\!09$$$$T^{26} +$$$$40\!\cdots\!55$$$$T^{28} +$$$$17\!\cdots\!74$$$$T^{30} +$$$$60\!\cdots\!22$$$$T^{32} +$$$$18\!\cdots\!50$$$$T^{34} +$$$$41\!\cdots\!29$$$$T^{36} +$$$$67\!\cdots\!03$$$$T^{38} +$$$$57\!\cdots\!01$$$$T^{40}$$)($$1 + 84 T + 9241 T^{2} + 578676 T^{3} + 47458321 T^{4}$$)($$1 - 84 T + 9241 T^{2} - 578676 T^{3} + 47458321 T^{4}$$)($$1 + 66 T + 9321 T^{2} + 519354 T^{3} + 24465668 T^{4} + 3577829706 T^{5} + 442359010041 T^{6} + 21578064642354 T^{7} + 2252292232139041 T^{8}$$)($$1 - 81 T + 16289 T^{2} - 1142262 T^{3} + 166474326 T^{4} - 7869042918 T^{5} + 773048590769 T^{6} - 26482170242889 T^{7} + 2252292232139041 T^{8}$$)($$1 + 378 T + 72863 T^{2} + 9538830 T^{3} + 917456196 T^{4} + 65712999870 T^{5} + 3457955643023 T^{6} + 123583461133482 T^{7} + 2252292232139041 T^{8}$$)($$1 - 378 T + 72863 T^{2} - 9538830 T^{3} + 917456196 T^{4} - 65712999870 T^{5} + 3457955643023 T^{6} - 123583461133482 T^{7} + 2252292232139041 T^{8}$$)($$1 + 81 T + 16289 T^{2} + 1142262 T^{3} + 166474326 T^{4} + 7869042918 T^{5} + 773048590769 T^{6} + 26482170242889 T^{7} + 2252292232139041 T^{8}$$)($$1 - 66 T + 9321 T^{2} - 519354 T^{3} + 24465668 T^{4} - 3577829706 T^{5} + 442359010041 T^{6} - 21578064642354 T^{7} + 2252292232139041 T^{8}$$)($$1 + 246 T + 54825 T^{2} + 8524638 T^{3} + 1254860197 T^{4} + 148166306376 T^{5} + 16481417300694 T^{6} + 1562002778781228 T^{7} + 140096195439334362 T^{8} + 10760637143023879692 T^{9} +$$$$78\!\cdots\!74$$$$T^{10} +$$$$48\!\cdots\!44$$$$T^{11} +$$$$28\!\cdots\!77$$$$T^{12} +$$$$13\!\cdots\!62$$$$T^{13} +$$$$58\!\cdots\!25$$$$T^{14} +$$$$18\!\cdots\!34$$$$T^{15} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 - 246 T + 54825 T^{2} - 8524638 T^{3} + 1254860197 T^{4} - 148166306376 T^{5} + 16481417300694 T^{6} - 1562002778781228 T^{7} + 140096195439334362 T^{8} - 10760637143023879692 T^{9} +$$$$78\!\cdots\!74$$$$T^{10} -$$$$48\!\cdots\!44$$$$T^{11} +$$$$28\!\cdots\!77$$$$T^{12} -$$$$13\!\cdots\!62$$$$T^{13} +$$$$58\!\cdots\!25$$$$T^{14} -$$$$18\!\cdots\!34$$$$T^{15} +$$$$50\!\cdots\!81$$$$T^{16}$$)
$89$ ($$( 1 + 78 T + 7921 T^{2} )^{4}$$)($$( 1 + 7921 T^{2} )^{4}$$)($$( 1 + 7921 T^{2} )^{4}$$)($$( 1 - 102 T + 7921 T^{2} )^{4}$$)($$( 1 - 18 T + 7921 T^{2} )^{4}$$)($$1 + 6208 T^{2} + 62742241 T^{4}$$)($$1 - 9792 T^{2} + 62742241 T^{4}$$)($$1 - 15680 T^{2} + 62742241 T^{4}$$)($$1 + 12480 T^{2} + 62742241 T^{4}$$)($$1 - 12480 T^{2} + 62742241 T^{4}$$)($$1 - 15680 T^{2} + 62742241 T^{4}$$)($$1 - 9792 T^{2} + 62742241 T^{4}$$)($$1 + 6208 T^{2} + 62742241 T^{4}$$)($$1 + 160 T + 7921 T^{2}$$)($$1 - 78 T + 7921 T^{2}$$)($$1 - 160 T + 7921 T^{2}$$)($$( 1 + 144 T + 7921 T^{2} )^{2}$$)($$( 1 + 82 T + 7921 T^{2} )^{2}$$)($$( 1 + 7921 T^{2} )^{2}$$)($$( 1 - 30 T + 7921 T^{2} )^{2}$$)($$( 1 - 144 T + 7921 T^{2} )^{2}$$)($$( 1 + 114 T + 7921 T^{2} )^{2}$$)($$( 1 - 156 T + 21158 T^{2} - 1235676 T^{3} + 62742241 T^{4} )^{2}$$)($$( 1 - 12800 T^{2} + 62742241 T^{4} )^{4}$$)($$( 1 - 15680 T^{2} + 62742241 T^{4} )^{4}$$)($$1 - 31238 T^{2} + 466178479 T^{4} - 4433595811988 T^{6} + 29249082478431439 T^{8} -$$$$12\!\cdots\!78$$$$T^{10} +$$$$24\!\cdots\!21$$$$T^{12}$$)($$( 1 - 17608 T^{2} + 140263452 T^{4} - 1652317947000 T^{6} + 18439815418282950 T^{8} -$$$$10\!\cdots\!00$$$$T^{10} +$$$$55\!\cdots\!12$$$$T^{12} -$$$$43\!\cdots\!68$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 - 81008 T^{2} + 3201135736 T^{4} - 82544801381712 T^{6} + 1567286911309649436 T^{8} -$$$$23\!\cdots\!04$$$$T^{10} +$$$$28\!\cdots\!72$$$$T^{12} -$$$$29\!\cdots\!36$$$$T^{14} +$$$$25\!\cdots\!10$$$$T^{16} -$$$$18\!\cdots\!76$$$$T^{18} +$$$$11\!\cdots\!32$$$$T^{20} -$$$$57\!\cdots\!84$$$$T^{22} +$$$$24\!\cdots\!96$$$$T^{24} -$$$$80\!\cdots\!12$$$$T^{26} +$$$$19\!\cdots\!76$$$$T^{28} -$$$$31\!\cdots\!48$$$$T^{30} +$$$$24\!\cdots\!21$$$$T^{32}$$)($$( 1 - 146 T + 7921 T^{2} )^{4}( 1 + 146 T + 7921 T^{2} )^{4}$$)($$( 1 + 2 T + 7921 T^{2} )^{2}$$)($$( 1 + 2 T + 7921 T^{2} )^{2}$$)($$( 1 - 120 T + 7921 T^{2} )^{4}$$)($$( 1 + 84 T + 30700 T^{2} + 1886940 T^{3} + 359702982 T^{4} + 14946451740 T^{5} + 1926186798700 T^{6} + 41746428440724 T^{7} + 3936588805702081 T^{8} )^{2}$$)($$( 1 - 228 T + 27158 T^{2} - 1805988 T^{3} + 62742241 T^{4} )^{4}$$)($$( 1 + 84 T + 30700 T^{2} + 1886940 T^{3} + 359702982 T^{4} + 14946451740 T^{5} + 1926186798700 T^{6} + 41746428440724 T^{7} + 3936588805702081 T^{8} )^{2}$$)($$( 1 + 96 T + 27716 T^{2} + 1940016 T^{3} + 308634966 T^{4} + 15366866736 T^{5} + 1738963951556 T^{6} + 47710203932256 T^{7} + 3936588805702081 T^{8} )^{4}$$)($$( 1 + 60 T + 23681 T^{2} + 1696704 T^{3} + 314675662 T^{4} + 17818465608 T^{5} + 2492545918702 T^{6} + 106455011273664 T^{7} + 11769013951247441 T^{8} + 236195328342124860 T^{9} + 31181719929966183601 T^{10} )^{4}$$)($$1 - 290 T^{2} + 62742241 T^{4}$$)($$1 - 290 T^{2} + 62742241 T^{4}$$)($$1 - 25924 T^{2} + 285535302 T^{4} - 1626529855684 T^{6} + 3936588805702081 T^{8}$$)($$1 - 6916 T^{2} + 69013446 T^{4} - 433925338756 T^{6} + 3936588805702081 T^{8}$$)($$1 - 8860 T^{2} + 51019782 T^{4} - 555896255260 T^{6} + 3936588805702081 T^{8}$$)($$1 - 8860 T^{2} + 51019782 T^{4} - 555896255260 T^{6} + 3936588805702081 T^{8}$$)($$1 - 6916 T^{2} + 69013446 T^{4} - 433925338756 T^{6} + 3936588805702081 T^{8}$$)($$1 - 25924 T^{2} + 285535302 T^{4} - 1626529855684 T^{6} + 3936588805702081 T^{8}$$)($$1 - 28448 T^{2} + 504887356 T^{4} - 6266477720288 T^{6} + 56631012864364294 T^{8} -$$$$39\!\cdots\!08$$$$T^{10} +$$$$19\!\cdots\!36$$$$T^{12} -$$$$70\!\cdots\!08$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 - 28448 T^{2} + 504887356 T^{4} - 6266477720288 T^{6} + 56631012864364294 T^{8} -$$$$39\!\cdots\!08$$$$T^{10} +$$$$19\!\cdots\!36$$$$T^{12} -$$$$70\!\cdots\!08$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)
$97$ ($$( 1 - 62 T + 9409 T^{2} )^{4}$$)($$( 1 + 190 T + 9409 T^{2} )^{4}$$)($$( 1 - 2 T + 9409 T^{2} )^{4}$$)($$( 1 - 26 T + 9409 T^{2} )^{4}$$)($$( 1 + 34 T + 9409 T^{2} )^{4}$$)($$( 1 + 112 T + 9409 T^{2} )^{2}$$)($$( 1 + 80 T + 9409 T^{2} )^{2}$$)($$( 1 - 176 T + 9409 T^{2} )^{2}$$)($$( 1 + 144 T + 9409 T^{2} )^{2}$$)($$( 1 - 144 T + 9409 T^{2} )^{2}$$)($$( 1 - 176 T + 9409 T^{2} )^{2}$$)($$( 1 + 80 T + 9409 T^{2} )^{2}$$)($$( 1 + 112 T + 9409 T^{2} )^{2}$$)($$1 + 130 T + 9409 T^{2}$$)($$1 - 130 T + 9409 T^{2}$$)($$1 + 130 T + 9409 T^{2}$$)($$( 1 - 94 T + 9409 T^{2} )^{2}$$)($$( 1 - 2 T + 9409 T^{2} )^{2}$$)($$( 1 + 2 T + 9409 T^{2} )^{2}$$)($$( 1 + 14 T + 9409 T^{2} )^{2}$$)($$( 1 - 94 T + 9409 T^{2} )^{2}$$)($$( 1 - 34 T + 9409 T^{2} )^{2}$$)($$( 1 + 124 T + 15750 T^{2} + 1166716 T^{3} + 88529281 T^{4} )^{2}$$)($$( 1 + 8 T + 9409 T^{2} )^{8}$$)($$( 1 - 40 T + 9409 T^{2} )^{8}$$)($$( 1 + 2 T + 10687 T^{2} + 557564 T^{3} + 100553983 T^{4} + 177058562 T^{5} + 832972004929 T^{6} )^{2}$$)($$( 1 + 25252 T^{2} - 77824 T^{3} + 327999814 T^{4} - 732246016 T^{5} + 2235541403812 T^{6} + 7837433594376961 T^{8} )^{4}$$)($$( 1 + 38216 T^{2} + 116224 T^{3} + 770481564 T^{4} + 3485408768 T^{5} + 10857255215864 T^{6} + 49274039499776 T^{7} + 116292098553803590 T^{8} + 463619437653392384 T^{9} +$$$$96\!\cdots\!84$$$$T^{10} +$$$$29\!\cdots\!72$$$$T^{11} +$$$$60\!\cdots\!04$$$$T^{12} +$$$$85\!\cdots\!76$$$$T^{13} +$$$$26\!\cdots\!56$$$$T^{14} +$$$$61\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 94 T + 9409 T^{2} )^{4}( 1 + 94 T - 573 T^{2} + 884446 T^{3} + 88529281 T^{4} )^{2}$$)($$1 - 43 T - 7560 T^{2} - 404587 T^{3} + 88529281 T^{4}$$)($$1 - 43 T - 7560 T^{2} - 404587 T^{3} + 88529281 T^{4}$$)($$( 1 + 25 T - 8784 T^{2} + 235225 T^{3} + 88529281 T^{4} )^{2}$$)($$1 + 10 T - 22548 T^{2} + 828296 T^{3} + 272325791 T^{4} - 14518511616 T^{5} - 1388516520704 T^{6} + 83318070893038 T^{7} + 5416086623373288 T^{8} + 783939729032594542 T^{9} -$$$$12\!\cdots\!24$$$$T^{10} -$$$$12\!\cdots\!64$$$$T^{11} +$$$$21\!\cdots\!51$$$$T^{12} +$$$$61\!\cdots\!04$$$$T^{13} -$$$$15\!\cdots\!68$$$$T^{14} +$$$$65\!\cdots\!90$$$$T^{15} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$( 1 - 100 T - 2813 T^{2} + 600500 T^{3} - 18446312 T^{4} + 5650104500 T^{5} - 249032867453 T^{6} - 83297200492900 T^{7} + 7837433594376961 T^{8} )^{2}$$)($$1 + 10 T - 22548 T^{2} + 828296 T^{3} + 272325791 T^{4} - 14518511616 T^{5} - 1388516520704 T^{6} + 83318070893038 T^{7} + 5416086623373288 T^{8} + 783939729032594542 T^{9} -$$$$12\!\cdots\!24$$$$T^{10} -$$$$12\!\cdots\!64$$$$T^{11} +$$$$21\!\cdots\!51$$$$T^{12} +$$$$61\!\cdots\!04$$$$T^{13} -$$$$15\!\cdots\!68$$$$T^{14} +$$$$65\!\cdots\!90$$$$T^{15} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$( 1 + 74 T - 29868 T^{2} - 1540328 T^{3} + 607324823 T^{4} + 20751693936 T^{5} - 8122914917000 T^{6} - 74589814314322 T^{7} + 88320904907559480 T^{8} - 701815562883455698 T^{9} -$$$$71\!\cdots\!00$$$$T^{10} +$$$$17\!\cdots\!44$$$$T^{11} +$$$$47\!\cdots\!03$$$$T^{12} -$$$$11\!\cdots\!72$$$$T^{13} -$$$$20\!\cdots\!88$$$$T^{14} +$$$$48\!\cdots\!06$$$$T^{15} +$$$$61\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 187 T + 5218 T^{2} + 189639 T^{3} + 82744374 T^{4} - 6964984509 T^{5} + 1587905990076 T^{6} - 273128932652469 T^{7} + 7991690554880145 T^{8} - 330960890485110298 T^{9} +$$$$14\!\cdots\!92$$$$T^{10} -$$$$31\!\cdots\!82$$$$T^{11} +$$$$70\!\cdots\!45$$$$T^{12} -$$$$22\!\cdots\!01$$$$T^{13} +$$$$12\!\cdots\!36$$$$T^{14} -$$$$51\!\cdots\!41$$$$T^{15} +$$$$57\!\cdots\!34$$$$T^{16} +$$$$12\!\cdots\!91$$$$T^{17} +$$$$32\!\cdots\!78$$$$T^{18} -$$$$10\!\cdots\!43$$$$T^{19} +$$$$54\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 115 T + 3816 T^{2} - 1082035 T^{3} + 88529281 T^{4}$$)($$1 - 115 T + 3816 T^{2} - 1082035 T^{3} + 88529281 T^{4}$$)($$1 - 242 T + 25489 T^{2} - 3450194 T^{3} + 454397668 T^{4} - 32462875346 T^{5} + 2256522843409 T^{6} - 201579225192818 T^{7} + 7837433594376961 T^{8}$$)($$1 + 196 T + 10291 T^{2} + 1824172 T^{3} + 341030200 T^{4} + 17163634348 T^{5} + 911054830771 T^{6} + 163262512966084 T^{7} + 7837433594376961 T^{8}$$)($$1 - 14 T - 8087 T^{2} + 147490 T^{3} - 21765356 T^{4} + 1387733410 T^{5} - 715936295447 T^{6} - 11661608069006 T^{7} + 7837433594376961 T^{8}$$)($$1 - 14 T - 8087 T^{2} + 147490 T^{3} - 21765356 T^{4} + 1387733410 T^{5} - 715936295447 T^{6} - 11661608069006 T^{7} + 7837433594376961 T^{8}$$)($$1 + 196 T + 10291 T^{2} + 1824172 T^{3} + 341030200 T^{4} + 17163634348 T^{5} + 911054830771 T^{6} + 163262512966084 T^{7} + 7837433594376961 T^{8}$$)($$1 - 242 T + 25489 T^{2} - 3450194 T^{3} + 454397668 T^{4} - 32462875346 T^{5} + 2256522843409 T^{6} - 201579225192818 T^{7} + 7837433594376961 T^{8}$$)($$1 + 236 T + 438 T^{2} - 1185512 T^{3} + 510091505 T^{4} + 51879290952 T^{5} - 3191784386426 T^{6} + 104812309462772 T^{7} + 86158688483213604 T^{8} + 986179019735221748 T^{9} -$$$$28\!\cdots\!06$$$$T^{10} +$$$$43\!\cdots\!08$$$$T^{11} +$$$$39\!\cdots\!05$$$$T^{12} -$$$$87\!\cdots\!88$$$$T^{13} +$$$$30\!\cdots\!58$$$$T^{14} +$$$$15\!\cdots\!84$$$$T^{15} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$1 + 236 T + 438 T^{2} - 1185512 T^{3} + 510091505 T^{4} + 51879290952 T^{5} - 3191784386426 T^{6} + 104812309462772 T^{7} + 86158688483213604 T^{8} + 986179019735221748 T^{9} -$$$$28\!\cdots\!06$$$$T^{10} +$$$$43\!\cdots\!08$$$$T^{11} +$$$$39\!\cdots\!05$$$$T^{12} -$$$$87\!\cdots\!88$$$$T^{13} +$$$$30\!\cdots\!58$$$$T^{14} +$$$$15\!\cdots\!84$$$$T^{15} +$$$$61\!\cdots\!21$$$$T^{16}$$)