# Properties

 Label 1568.2 Level 1568 Weight 2 Dimension 40141 Nonzero newspaces 24 Sturm bound 301056 Trace bound 13

## Defining parameters

 Level: $$N$$ = $$1568 = 2^{5} \cdot 7^{2}$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$24$$ Sturm bound: $$301056$$ Trace bound: $$13$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(1568))$$.

Total New Old
Modular forms 77184 41111 36073
Cusp forms 73345 40141 33204
Eisenstein series 3839 970 2869

## Trace form

 $$40141q - 124q^{2} - 94q^{3} - 124q^{4} - 126q^{5} - 124q^{6} - 108q^{7} - 220q^{8} - 187q^{9} + O(q^{10})$$ $$40141q - 124q^{2} - 94q^{3} - 124q^{4} - 126q^{5} - 124q^{6} - 108q^{7} - 220q^{8} - 187q^{9} - 116q^{10} - 94q^{11} - 108q^{12} - 118q^{13} - 144q^{14} - 162q^{15} - 104q^{16} - 58q^{17} - 104q^{18} - 94q^{19} - 108q^{20} - 144q^{21} - 208q^{22} - 86q^{23} - 136q^{24} - 185q^{25} - 144q^{26} - 58q^{27} - 144q^{28} - 230q^{29} - 156q^{30} - 74q^{31} - 144q^{32} - 308q^{33} - 136q^{34} - 108q^{35} - 248q^{36} - 126q^{37} - 116q^{38} - 34q^{39} - 112q^{40} - 174q^{41} - 144q^{42} - 134q^{43} - 84q^{44} - 10q^{45} - 92q^{46} - 18q^{47} - 72q^{48} - 24q^{49} - 348q^{50} + 22q^{51} - 116q^{52} + 2q^{53} - 112q^{54} - 42q^{55} - 144q^{56} - 136q^{57} - 128q^{58} - 30q^{59} - 128q^{60} - 6q^{61} - 144q^{62} - 48q^{63} - 256q^{64} - 224q^{65} - 148q^{66} - 62q^{67} - 104q^{68} + 4q^{69} - 144q^{70} - 174q^{71} - 100q^{72} - 190q^{73} - 108q^{74} - 46q^{75} - 124q^{76} - 144q^{77} - 180q^{78} - 90q^{79} - 128q^{80} - 123q^{81} - 124q^{82} - 42q^{83} - 144q^{84} - 204q^{85} - 144q^{86} - 2q^{87} - 120q^{88} - 174q^{89} - 400q^{90} - 150q^{91} - 304q^{92} - 232q^{93} - 400q^{94} - 106q^{95} - 600q^{96} - 482q^{97} - 312q^{98} - 360q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(1568))$$

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

Label $$\chi$$ Newforms Dimension $$\chi$$ degree
1568.2.a $$\chi_{1568}(1, \cdot)$$ 1568.2.a.a 1 1
1568.2.a.b 1
1568.2.a.c 1
1568.2.a.d 1
1568.2.a.e 1
1568.2.a.f 1
1568.2.a.g 1
1568.2.a.h 1
1568.2.a.i 1
1568.2.a.j 2
1568.2.a.k 2
1568.2.a.l 2
1568.2.a.m 2
1568.2.a.n 2
1568.2.a.o 2
1568.2.a.p 2
1568.2.a.q 2
1568.2.a.r 2
1568.2.a.s 2
1568.2.a.t 2
1568.2.a.u 2
1568.2.a.v 2
1568.2.a.w 2
1568.2.a.x 4
1568.2.b $$\chi_{1568}(785, \cdot)$$ 1568.2.b.a 2 1
1568.2.b.b 2
1568.2.b.c 4
1568.2.b.d 4
1568.2.b.e 6
1568.2.b.f 6
1568.2.b.g 12
1568.2.e $$\chi_{1568}(783, \cdot)$$ 1568.2.e.a 4 1
1568.2.e.b 4
1568.2.e.c 8
1568.2.e.d 8
1568.2.e.e 12
1568.2.f $$\chi_{1568}(1567, \cdot)$$ 1568.2.f.a 8 1
1568.2.f.b 16
1568.2.f.c 16
1568.2.i $$\chi_{1568}(961, \cdot)$$ 1568.2.i.a 2 2
1568.2.i.b 2
1568.2.i.c 2
1568.2.i.d 2
1568.2.i.e 2
1568.2.i.f 2
1568.2.i.g 2
1568.2.i.h 2
1568.2.i.i 2
1568.2.i.j 2
1568.2.i.k 2
1568.2.i.l 2
1568.2.i.m 4
1568.2.i.n 4
1568.2.i.o 4
1568.2.i.p 4
1568.2.i.q 4
1568.2.i.r 4
1568.2.i.s 4
1568.2.i.t 4
1568.2.i.u 4
1568.2.i.v 4
1568.2.i.w 4
1568.2.i.x 4
1568.2.i.y 8
1568.2.j $$\chi_{1568}(391, \cdot)$$ None 0 2
1568.2.m $$\chi_{1568}(393, \cdot)$$ None 0 2
1568.2.p $$\chi_{1568}(31, \cdot)$$ 1568.2.p.a 16 2
1568.2.p.b 16
1568.2.p.c 16
1568.2.p.d 32
1568.2.q $$\chi_{1568}(815, \cdot)$$ 1568.2.q.a 4 2
1568.2.q.b 8
1568.2.q.c 8
1568.2.q.d 8
1568.2.q.e 8
1568.2.q.f 8
1568.2.q.g 12
1568.2.q.h 16
1568.2.t $$\chi_{1568}(177, \cdot)$$ 1568.2.t.a 4 2
1568.2.t.b 4
1568.2.t.c 4
1568.2.t.d 8
1568.2.t.e 8
1568.2.t.f 8
1568.2.t.g 12
1568.2.t.h 24
1568.2.u $$\chi_{1568}(225, \cdot)$$ n/a 336 6
1568.2.v $$\chi_{1568}(197, \cdot)$$ n/a 636 4
1568.2.y $$\chi_{1568}(195, \cdot)$$ n/a 624 4
1568.2.ba $$\chi_{1568}(215, \cdot)$$ None 0 4
1568.2.bb $$\chi_{1568}(361, \cdot)$$ None 0 4
1568.2.bf $$\chi_{1568}(223, \cdot)$$ n/a 336 6
1568.2.bg $$\chi_{1568}(111, \cdot)$$ n/a 324 6
1568.2.bj $$\chi_{1568}(113, \cdot)$$ n/a 324 6
1568.2.bk $$\chi_{1568}(65, \cdot)$$ n/a 672 12
1568.2.bm $$\chi_{1568}(165, \cdot)$$ n/a 1248 8
1568.2.bn $$\chi_{1568}(19, \cdot)$$ n/a 1248 8
1568.2.bp $$\chi_{1568}(57, \cdot)$$ None 0 12
1568.2.bs $$\chi_{1568}(55, \cdot)$$ None 0 12
1568.2.bt $$\chi_{1568}(81, \cdot)$$ n/a 648 12
1568.2.bw $$\chi_{1568}(47, \cdot)$$ n/a 648 12
1568.2.bx $$\chi_{1568}(159, \cdot)$$ n/a 672 12
1568.2.ca $$\chi_{1568}(27, \cdot)$$ n/a 5328 24
1568.2.cd $$\chi_{1568}(29, \cdot)$$ n/a 5328 24
1568.2.cf $$\chi_{1568}(9, \cdot)$$ None 0 24
1568.2.cg $$\chi_{1568}(87, \cdot)$$ None 0 24
1568.2.cj $$\chi_{1568}(3, \cdot)$$ n/a 10656 48
1568.2.ck $$\chi_{1568}(37, \cdot)$$ n/a 10656 48

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

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(1568))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(1568)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 10}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 8}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(32))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(49))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(56))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(98))$$$$^{\oplus 5}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(112))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(196))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(224))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(392))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(784))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ ($$1 + 2 T + 3 T^{2}$$)($$1 + 2 T + 3 T^{2}$$)($$1 + 2 T + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 - T^{2} + 9 T^{4}$$)($$1 + 3 T^{2} + 9 T^{4}$$)($$( 1 + 3 T^{2} )^{2}$$)($$( 1 + 3 T^{2} )^{2}$$)($$1 + 4 T^{2} + 9 T^{4}$$)($$1 + 4 T^{2} + 9 T^{4}$$)($$1 + 3 T^{2} + 9 T^{4}$$)($$1 - T^{2} + 9 T^{4}$$)($$1 - 2 T + 5 T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + 5 T^{2} - 6 T^{3} + 9 T^{4}$$)($$( 1 - 4 T^{2} + 9 T^{4} )^{2}$$)($$1 - 4 T^{2} + 9 T^{4}$$)($$( 1 - 3 T^{2} )^{2}$$)($$1 + 10 T^{4} + 81 T^{8}$$)($$1 - 2 T^{2} + 2 T^{4} - 18 T^{6} + 81 T^{8}$$)($$1 - 9 T^{2} + 46 T^{4} - 161 T^{6} + 414 T^{8} - 729 T^{10} + 729 T^{12}$$)($$1 - 9 T^{2} + 46 T^{4} - 161 T^{6} + 414 T^{8} - 729 T^{10} + 729 T^{12}$$)($$( 1 - 6 T^{2} + 23 T^{4} - 76 T^{6} + 207 T^{8} - 486 T^{10} + 729 T^{12} )^{2}$$)($$1 + 8 T^{2} + 32 T^{4} + 72 T^{6} + 81 T^{8}$$)($$1 - 8 T^{2} + 32 T^{4} - 72 T^{6} + 81 T^{8}$$)($$( 1 - 4 T^{2} + 14 T^{4} - 36 T^{6} + 81 T^{8} )^{2}$$)($$( 1 - 8 T^{2} + 32 T^{4} - 72 T^{6} + 81 T^{8} )^{2}$$)($$( 1 - 9 T^{2} + 42 T^{4} - 141 T^{6} + 378 T^{8} - 729 T^{10} + 729 T^{12} )^{2}$$)($$( 1 + 8 T^{2} + 32 T^{4} + 72 T^{6} + 81 T^{8} )^{2}$$)($$( 1 + 8 T^{2} + 26 T^{4} + 64 T^{6} + 187 T^{8} + 576 T^{10} + 2106 T^{12} + 5832 T^{14} + 6561 T^{16} )^{2}$$)($$( 1 + 4 T^{2} + 22 T^{4} + 52 T^{6} + 226 T^{8} + 468 T^{10} + 1782 T^{12} + 2916 T^{14} + 6561 T^{16} )^{2}$$)($$1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4}$$)($$( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8}$$)($$1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8}$$)($$1 + 2 T - T^{2} - 2 T^{3} + 4 T^{4} - 6 T^{5} - 9 T^{6} + 54 T^{7} + 81 T^{8}$$)($$1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8}$$)($$1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8}$$)($$1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} )$$)($$1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8}$$)($$1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8}$$)($$1 - 2 T - T^{2} + 2 T^{3} + 4 T^{4} + 6 T^{5} - 9 T^{6} - 54 T^{7} + 81 T^{8}$$)($$( 1 + 4 T^{2} + 7 T^{4} + 36 T^{6} + 81 T^{8} )^{2}$$)($$( 1 - 4 T^{2} + 2 T^{4} + 16 T^{6} - 29 T^{8} + 144 T^{10} + 162 T^{12} - 2916 T^{14} + 6561 T^{16} )^{2}$$)($$1 - 8 T^{2} + 38 T^{4} - 80 T^{6} - 23 T^{8} + 752 T^{10} - 1162 T^{12} - 4696 T^{14} + 30100 T^{16} - 42264 T^{18} - 94122 T^{20} + 548208 T^{22} - 150903 T^{24} - 4723920 T^{26} + 20194758 T^{28} - 38263752 T^{30} + 43046721 T^{32}$$)($$( 1 - 8 T^{2} + 32 T^{4} - 112 T^{6} + 367 T^{8} - 1008 T^{10} + 2592 T^{12} - 5832 T^{14} + 6561 T^{16} )^{2}$$)($$( 1 + 3 T^{2} + 9 T^{4} )^{2}$$)($$1 + 8 T^{2} + 32 T^{4} + 112 T^{6} + 367 T^{8} + 1008 T^{10} + 2592 T^{12} + 5832 T^{14} + 6561 T^{16}$$)($$1 + 4 T^{2} + 2 T^{4} - 16 T^{6} - 29 T^{8} - 144 T^{10} + 162 T^{12} + 2916 T^{14} + 6561 T^{16}$$)($$1 + 4 T^{2} + 2 T^{4} - 16 T^{6} - 29 T^{8} - 144 T^{10} + 162 T^{12} + 2916 T^{14} + 6561 T^{16}$$)($$( 1 - 9 T^{4} + 81 T^{8} )^{2}$$)($$1 - 8 T^{2} + 32 T^{4} - 112 T^{6} + 367 T^{8} - 1008 T^{10} + 2592 T^{12} - 5832 T^{14} + 6561 T^{16}$$)($$( 1 + 3 T + 9 T^{2} + 18 T^{3} + 33 T^{4} + 63 T^{5} + 102 T^{6} + 189 T^{7} + 297 T^{8} + 486 T^{9} + 729 T^{10} + 729 T^{11} + 729 T^{12} )^{2}$$)($$( 1 + 8 T^{2} + 32 T^{4} + 112 T^{6} + 367 T^{8} + 1008 T^{10} + 2592 T^{12} + 5832 T^{14} + 6561 T^{16} )^{2}$$)($$( 1 + 3 T^{2} + 9 T^{4} )^{2}$$)($$1 + 4 T^{2} + 7 T^{4} + 36 T^{6} + 81 T^{8}$$)($$1 + 4 T^{2} + 7 T^{4} + 36 T^{6} + 81 T^{8}$$)($$1 + 2 T^{2} + 2 T^{4} - 32 T^{6} - 113 T^{8} - 288 T^{10} + 162 T^{12} + 1458 T^{14} + 6561 T^{16}$$)($$1 + 2 T^{2} + 2 T^{4} - 32 T^{6} - 113 T^{8} - 288 T^{10} + 162 T^{12} + 1458 T^{14} + 6561 T^{16}$$)($$1 - 10 T^{4} + 19 T^{8} - 810 T^{12} + 6561 T^{16}$$)($$1 + 9 T^{2} + 35 T^{4} + 92 T^{6} + 253 T^{8} + 683 T^{10} + 1774 T^{12} + 6147 T^{14} + 20493 T^{16} + 67068 T^{18} + 229635 T^{20} + 531441 T^{22} + 531441 T^{24}$$)
$5$ ($$1 + 2 T + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - 2 T + 5 T^{2}$$)($$1 + 4 T + 5 T^{2}$$)($$1 - 2 T + 5 T^{2}$$)($$1 - 4 T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - 2 T + 5 T^{2}$$)($$1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4}$$)($$( 1 + 3 T + 5 T^{2} )^{2}$$)($$( 1 + T + 5 T^{2} )^{2}$$)($$1 + 8 T^{2} + 25 T^{4}$$)($$1 - 8 T^{2} + 25 T^{4}$$)($$( 1 + 5 T^{2} )^{2}$$)($$( 1 + 5 T^{2} )^{2}$$)($$( 1 - T + 5 T^{2} )^{2}$$)($$( 1 - 3 T + 5 T^{2} )^{2}$$)($$1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4}$$)($$( 1 + 2 T^{2} + 25 T^{4} )^{2}$$)($$1 - 8 T^{2} + 25 T^{4}$$)($$( 1 - 5 T^{2} )^{2}$$)($$1 - 22 T^{4} + 625 T^{8}$$)($$1 - 6 T^{2} + 42 T^{4} - 150 T^{6} + 625 T^{8}$$)($$1 - 17 T^{2} + 142 T^{4} - 813 T^{6} + 3550 T^{8} - 10625 T^{10} + 15625 T^{12}$$)($$1 - 17 T^{2} + 142 T^{4} - 813 T^{6} + 3550 T^{8} - 10625 T^{10} + 15625 T^{12}$$)($$( 1 - 12 T^{2} + 107 T^{4} - 592 T^{6} + 2675 T^{8} - 7500 T^{10} + 15625 T^{12} )^{2}$$)($$( 1 + 5 T^{2} )^{4}$$)($$( 1 + 5 T^{2} )^{4}$$)($$( 1 + 8 T^{2} + 48 T^{4} + 200 T^{6} + 625 T^{8} )^{2}$$)($$( 1 - 4 T^{2} + 46 T^{4} - 100 T^{6} + 625 T^{8} )^{2}$$)($$( 1 + 15 T^{2} + 126 T^{4} + 739 T^{6} + 3150 T^{8} + 9375 T^{10} + 15625 T^{12} )^{2}$$)($$( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2}$$)($$( 1 - 6 T^{2} + 27 T^{4} - 150 T^{6} + 625 T^{8} )^{4}$$)($$( 1 - 12 T^{2} + 62 T^{4} - 428 T^{6} + 2946 T^{8} - 10700 T^{10} + 38750 T^{12} - 187500 T^{14} + 390625 T^{16} )^{2}$$)($$1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 - 5 T^{2} + 25 T^{4}$$)($$1 - 5 T^{2} + 25 T^{4}$$)($$1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4}$$)($$1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4}$$)($$1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4}$$)($$1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4}$$)($$1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 - 5 T^{2} + 25 T^{4}$$)($$1 - 5 T^{2} + 25 T^{4}$$)($$1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4}$$)($$1 + 2 T - 2 T^{2} - 8 T^{3} - 9 T^{4} - 40 T^{5} - 50 T^{6} + 250 T^{7} + 625 T^{8}$$)($$1 - 2 T - 2 T^{2} + 8 T^{3} - 9 T^{4} + 40 T^{5} - 50 T^{6} - 250 T^{7} + 625 T^{8}$$)($$1 - 2 T + T^{2} + 14 T^{3} - 36 T^{4} + 70 T^{5} + 25 T^{6} - 250 T^{7} + 625 T^{8}$$)($$( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} )^{2}$$)($$( 1 - 5 T^{2} + 25 T^{4} )^{2}$$)($$( 1 - 5 T^{2} + 25 T^{4} )^{2}$$)($$1 + 8 T^{2} + 39 T^{4} + 200 T^{6} + 625 T^{8}$$)($$1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8}$$)($$( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} )^{2}$$)($$1 + 2 T - 2 T^{2} - 8 T^{3} - 9 T^{4} - 40 T^{5} - 50 T^{6} + 250 T^{7} + 625 T^{8}$$)($$1 - 2 T - 2 T^{2} + 8 T^{3} - 9 T^{4} + 40 T^{5} - 50 T^{6} - 250 T^{7} + 625 T^{8}$$)($$1 - 2 T + T^{2} + 14 T^{3} - 36 T^{4} + 70 T^{5} + 25 T^{6} - 250 T^{7} + 625 T^{8}$$)($$( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )^{2}( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} )^{2}$$)($$( 1 + 12 T^{2} + 66 T^{4} + 336 T^{6} + 1859 T^{8} + 8400 T^{10} + 41250 T^{12} + 187500 T^{14} + 390625 T^{16} )^{2}$$)($$( 1 + 6 T^{2} + 9 T^{4} - 138 T^{6} - 796 T^{8} - 3450 T^{10} + 5625 T^{12} + 93750 T^{14} + 390625 T^{16} )^{2}$$)($$( 1 + 12 T^{2} + 66 T^{4} + 336 T^{6} + 1859 T^{8} + 8400 T^{10} + 41250 T^{12} + 187500 T^{14} + 390625 T^{16} )^{2}$$)($$( 1 - 5 T^{2} + 25 T^{4} )^{2}$$)($$( 1 - 5 T^{2} + 25 T^{4} )^{4}$$)($$1 - 8 T^{2} + 16 T^{4} + 16 T^{6} + 79 T^{8} + 400 T^{10} + 10000 T^{12} - 125000 T^{14} + 390625 T^{16}$$)($$1 - 8 T^{2} + 16 T^{4} + 16 T^{6} + 79 T^{8} + 400 T^{10} + 10000 T^{12} - 125000 T^{14} + 390625 T^{16}$$)($$( 1 - 4 T^{2} - 9 T^{4} - 100 T^{6} + 625 T^{8} )^{2}$$)($$( 1 - 5 T^{2} + 25 T^{4} )^{4}$$)($$1 - 15 T^{2} + 99 T^{4} - 412 T^{6} + 1641 T^{8} - 7989 T^{10} + 39846 T^{12} - 199725 T^{14} + 1025625 T^{16} - 6437500 T^{18} + 38671875 T^{20} - 146484375 T^{22} + 244140625 T^{24}$$)($$( 1 + 4 T^{2} - 30 T^{4} - 16 T^{6} + 1091 T^{8} - 400 T^{10} - 18750 T^{12} + 62500 T^{14} + 390625 T^{16} )^{2}$$)($$( 1 + 5 T^{2} + 25 T^{4} )^{2}$$)($$1 + 8 T^{2} + 39 T^{4} + 200 T^{6} + 625 T^{8}$$)($$1 + 8 T^{2} + 39 T^{4} + 200 T^{6} + 625 T^{8}$$)($$1 + 6 T^{2} - 6 T^{4} - 48 T^{6} + 239 T^{8} - 1200 T^{10} - 3750 T^{12} + 93750 T^{14} + 390625 T^{16}$$)($$1 + 6 T^{2} - 6 T^{4} - 48 T^{6} + 239 T^{8} - 1200 T^{10} - 3750 T^{12} + 93750 T^{14} + 390625 T^{16}$$)($$1 + 22 T^{4} - 141 T^{8} + 13750 T^{12} + 390625 T^{16}$$)($$1 + 17 T^{2} + 147 T^{4} + 788 T^{6} + 2793 T^{8} + 5371 T^{10} + 7494 T^{12} + 134275 T^{14} + 1745625 T^{16} + 12312500 T^{18} + 57421875 T^{20} + 166015625 T^{22} + 244140625 T^{24}$$)
$7$ 1
$11$ ($$1 - 4 T + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4}$$)($$1 - 4 T + 6 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4}$$)($$1 + 15 T^{2} + 121 T^{4}$$)($$1 - 5 T^{2} + 121 T^{4}$$)($$( 1 + 11 T^{2} )^{2}$$)($$( 1 + 11 T^{2} )^{2}$$)($$( 1 + 2 T + 11 T^{2} )^{2}$$)($$( 1 - 2 T + 11 T^{2} )^{2}$$)($$1 - 5 T^{2} + 121 T^{4}$$)($$1 + 15 T^{2} + 121 T^{4}$$)($$1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4}$$)($$1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4}$$)($$( 1 + 2 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 6 T + 11 T^{2} )( 1 + 6 T + 11 T^{2} )$$)($$( 1 - 4 T + 11 T^{2} )( 1 + 4 T + 11 T^{2} )$$)($$( 1 - 11 T^{2} )^{4}$$)($$1 - 24 T^{2} + 318 T^{4} - 2904 T^{6} + 14641 T^{8}$$)($$1 - 29 T^{2} + 514 T^{4} - 6105 T^{6} + 62194 T^{8} - 424589 T^{10} + 1771561 T^{12}$$)($$1 - 29 T^{2} + 514 T^{4} - 6105 T^{6} + 62194 T^{8} - 424589 T^{10} + 1771561 T^{12}$$)($$( 1 - 38 T^{2} + 759 T^{4} - 9908 T^{6} + 91839 T^{8} - 556358 T^{10} + 1771561 T^{12} )^{2}$$)($$( 1 - 4 T + 8 T^{2} - 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 2 T + 11 T^{2} )^{8}$$)($$( 1 + 4 T^{2} + 121 T^{4} )^{4}$$)($$( 1 + 3 T + 30 T^{2} + 59 T^{3} + 330 T^{4} + 363 T^{5} + 1331 T^{6} )^{4}$$)($$( 1 - 4 T^{2} + 121 T^{4} )^{4}$$)($$( 1 - 24 T^{2} + 490 T^{4} - 6912 T^{6} + 86859 T^{8} - 836352 T^{10} + 7174090 T^{12} - 42517464 T^{14} + 214358881 T^{16} )^{2}$$)($$( 1 - 52 T^{2} + 1400 T^{4} - 24860 T^{6} + 318286 T^{8} - 3008060 T^{10} + 20497400 T^{12} - 92121172 T^{14} + 214358881 T^{16} )^{2}$$)($$1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 - 11 T^{2} + 121 T^{4}$$)($$1 - 11 T^{2} + 121 T^{4}$$)($$1 - 11 T^{2} + 121 T^{4}$$)($$1 - 11 T^{2} + 121 T^{4}$$)($$1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 10 T^{2} - 64 T^{3} - 261 T^{4} - 704 T^{5} + 1210 T^{6} + 5324 T^{7} + 14641 T^{8}$$)($$1 - 4 T + 10 T^{2} + 64 T^{3} - 261 T^{4} + 704 T^{5} + 1210 T^{6} - 5324 T^{7} + 14641 T^{8}$$)($$1 + 2 T - 17 T^{2} - 2 T^{3} + 276 T^{4} - 22 T^{5} - 2057 T^{6} + 2662 T^{7} + 14641 T^{8}$$)($$1 - 15 T^{2} + 104 T^{4} - 1815 T^{6} + 14641 T^{8}$$)($$( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 11 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 11 T^{2} + 121 T^{4} )^{2}$$)($$1 + 5 T^{2} - 96 T^{4} + 605 T^{6} + 14641 T^{8}$$)($$1 - 4 T + 10 T^{2} + 64 T^{3} - 261 T^{4} + 704 T^{5} + 1210 T^{6} - 5324 T^{7} + 14641 T^{8}$$)($$1 + 4 T + 10 T^{2} - 64 T^{3} - 261 T^{4} - 704 T^{5} + 1210 T^{6} + 5324 T^{7} + 14641 T^{8}$$)($$1 - 2 T - 17 T^{2} + 2 T^{3} + 276 T^{4} + 22 T^{5} - 2057 T^{6} - 2662 T^{7} + 14641 T^{8}$$)($$( 1 - 2 T^{2} - 117 T^{4} - 242 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 + 18 T^{2} + 203 T^{4} + 2178 T^{6} + 14641 T^{8} )^{4}$$)($$1 + 24 T^{2} + 86 T^{4} - 2064 T^{6} - 12647 T^{8} + 54000 T^{10} - 509434 T^{12} - 4559928 T^{14} + 74796148 T^{16} - 551751288 T^{18} - 7458623194 T^{20} + 95664294000 T^{22} - 2710996768007 T^{24} - 53534844376464 T^{26} + 269904840398006 T^{28} + 9113996005997784 T^{30} + 45949729863572161 T^{32}$$)($$( 1 + 4 T^{2} - 105 T^{4} + 484 T^{6} + 14641 T^{8} )^{4}$$)($$( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 4 T + 8 T^{2} + 56 T^{3} - 233 T^{4} + 616 T^{5} + 968 T^{6} - 5324 T^{7} + 14641 T^{8} )^{2}$$)($$( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{4}$$)($$( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{4}$$)($$( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{4}$$)($$( 1 + 4 T + 8 T^{2} - 56 T^{3} - 233 T^{4} - 616 T^{5} + 968 T^{6} + 5324 T^{7} + 14641 T^{8} )^{2}$$)($$( 1 - 3 T - 21 T^{2} + 28 T^{3} + 393 T^{4} - 153 T^{5} - 4846 T^{6} - 1683 T^{7} + 47553 T^{8} + 37268 T^{9} - 307461 T^{10} - 483153 T^{11} + 1771561 T^{12} )^{2}$$)($$( 1 - 4 T^{2} - 105 T^{4} - 484 T^{6} + 14641 T^{8} )^{4}$$)($$( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )$$)($$( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )$$)($$( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )$$)($$1 + 24 T^{2} + 258 T^{4} + 1824 T^{6} + 16787 T^{8} + 220704 T^{10} + 3777378 T^{12} + 42517464 T^{14} + 214358881 T^{16}$$)($$1 + 24 T^{2} + 258 T^{4} + 1824 T^{6} + 16787 T^{8} + 220704 T^{10} + 3777378 T^{12} + 42517464 T^{14} + 214358881 T^{16}$$)($$( 1 + 11 T^{2} + 121 T^{4} )^{4}$$)($$1 + 29 T^{2} + 327 T^{4} + 2696 T^{6} + 24957 T^{8} - 44693 T^{10} - 3466650 T^{12} - 5407853 T^{14} + 365395437 T^{16} + 4776128456 T^{18} + 70095354087 T^{20} + 752185313429 T^{22} + 3138428376721 T^{24}$$)
$13$ ($$1 + 6 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 6 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 + 6 T + 13 T^{2}$$)($$1 + 4 T + 13 T^{2}$$)($$1 + 6 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 6 T + 13 T^{2}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$( 1 + 4 T + 13 T^{2} )^{2}$$)($$( 1 + 13 T^{2} )^{2}$$)($$1 + 24 T^{2} + 169 T^{4}$$)($$1 - 24 T^{2} + 169 T^{4}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$( 1 + 13 T^{2} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{2}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4}$$)($$1 + 18 T^{2} + 169 T^{4}$$)($$( 1 + 13 T^{2} )^{4}$$)($$1 - 8 T^{2} + 169 T^{4}$$)($$( 1 - 13 T^{2} )^{2}$$)($$1 - 310 T^{4} + 28561 T^{8}$$)($$1 - 38 T^{2} + 682 T^{4} - 6422 T^{6} + 28561 T^{8}$$)($$1 - 46 T^{2} + 1191 T^{4} - 18804 T^{6} + 201279 T^{8} - 1313806 T^{10} + 4826809 T^{12}$$)($$1 - 46 T^{2} + 1191 T^{4} - 18804 T^{6} + 201279 T^{8} - 1313806 T^{10} + 4826809 T^{12}$$)($$( 1 - 36 T^{2} + 795 T^{4} - 12384 T^{6} + 134355 T^{8} - 1028196 T^{10} + 4826809 T^{12} )^{2}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 - 8 T^{2} + 336 T^{4} - 1352 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 28 T^{2} + 526 T^{4} + 4732 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 42 T^{2} + 903 T^{4} + 13340 T^{6} + 152607 T^{8} + 1199562 T^{10} + 4826809 T^{12} )^{2}$$)($$( 1 - 44 T^{2} + 814 T^{4} - 7436 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 - 48 T^{2} + 1308 T^{4} - 24144 T^{6} + 351974 T^{8} - 4080336 T^{10} + 37357788 T^{12} - 231686832 T^{14} + 815730721 T^{16} )^{2}$$)($$( 1 - 44 T^{2} + 830 T^{4} - 8588 T^{6} + 79746 T^{8} - 1451372 T^{10} + 23705630 T^{12} - 212379596 T^{14} + 815730721 T^{16} )^{2}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 + 4 T + 13 T^{2} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{2}$$)($$( 1 + 6 T + 13 T^{2} )^{2}$$)($$( 1 + 4 T + 13 T^{2} )^{2}$$)($$( 1 + 6 T + 13 T^{2} )^{2}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{2}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{2}$$)($$( 1 + 4 T + 13 T^{2} )^{2}$$)($$( 1 + 6 T + 13 T^{2} )^{2}$$)($$( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{4}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 24 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 24 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 - 12 T^{2} + 366 T^{4} - 2028 T^{6} + 28561 T^{8} )^{4}$$)($$( 1 - 48 T^{2} + 1308 T^{4} - 24144 T^{6} + 351974 T^{8} - 4080336 T^{10} + 37357788 T^{12} - 231686832 T^{14} + 815730721 T^{16} )^{2}$$)($$( 1 - 44 T^{2} + 814 T^{4} - 7436 T^{6} + 28561 T^{8} )^{4}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 - 8 T^{2} + 336 T^{4} - 1352 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 - 8 T^{2} + 336 T^{4} - 1352 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 20 T^{2} + 169 T^{4} )^{4}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 + 42 T^{2} + 903 T^{4} + 13340 T^{6} + 152607 T^{8} + 1199562 T^{10} + 4826809 T^{12} )^{2}$$)($$( 1 + 28 T^{2} + 526 T^{4} + 4732 T^{6} + 28561 T^{8} )^{4}$$)($$( 1 - 13 T^{2} )^{4}$$)($$( 1 - 8 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 8 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 38 T^{2} + 682 T^{4} - 6422 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 - 38 T^{2} + 682 T^{4} - 6422 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 - 310 T^{4} + 28561 T^{8} )^{2}$$)($$( 1 - 46 T^{2} + 1191 T^{4} - 18804 T^{6} + 201279 T^{8} - 1313806 T^{10} + 4826809 T^{12} )^{2}$$)
$17$ ($$1 - 4 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 4 T + 17 T^{2}$$)($$1 + 8 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 - 8 T + 17 T^{2}$$)($$1 - 4 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 4 T + 17 T^{2}$$)($$1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4}$$)($$1 + 14 T^{2} + 289 T^{4}$$)($$1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4}$$)($$( 1 - T + 17 T^{2} )^{2}$$)($$( 1 + 5 T + 17 T^{2} )^{2}$$)($$1 - 16 T^{2} + 289 T^{4}$$)($$1 + 16 T^{2} + 289 T^{4}$$)($$1 + 16 T^{2} + 289 T^{4}$$)($$1 + 16 T^{2} + 289 T^{4}$$)($$( 1 - 5 T + 17 T^{2} )^{2}$$)($$( 1 + T + 17 T^{2} )^{2}$$)($$1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4}$$)($$1 + 14 T^{2} + 289 T^{4}$$)($$1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4}$$)($$( 1 + 16 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 6 T + 17 T^{2} )^{2}$$)($$( 1 + 17 T^{2} )^{2}$$)($$( 1 + 17 T^{2} )^{4}$$)($$( 1 + 2 T + 17 T^{2} )^{4}$$)($$( 1 + T + 34 T^{2} + 13 T^{3} + 578 T^{4} + 289 T^{5} + 4913 T^{6} )^{2}$$)($$( 1 - T + 34 T^{2} - 13 T^{3} + 578 T^{4} - 289 T^{5} + 4913 T^{6} )^{2}$$)($$( 1 + 16 T^{2} + 547 T^{4} + 8224 T^{6} + 158083 T^{8} + 1336336 T^{10} + 24137569 T^{12} )^{2}$$)($$1 - 48 T^{2} + 1152 T^{4} - 13872 T^{6} + 83521 T^{8}$$)($$1 + 48 T^{2} + 1152 T^{4} + 13872 T^{6} + 83521 T^{8}$$)($$( 1 - 48 T^{2} + 1056 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 48 T^{2} + 1056 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 69 T^{2} + 2430 T^{4} - 51481 T^{6} + 702270 T^{8} - 5762949 T^{10} + 24137569 T^{12} )^{2}$$)($$( 1 - 480 T^{4} + 83521 T^{8} )^{2}$$)($$( 1 - 92 T^{2} + 4074 T^{4} - 115888 T^{6} + 2322419 T^{8} - 33491632 T^{10} + 340264554 T^{12} - 2220656348 T^{14} + 6975757441 T^{16} )^{2}$$)($$( 1 - 96 T^{2} + 4544 T^{4} - 135264 T^{6} + 2752642 T^{8} - 39091296 T^{10} + 379519424 T^{12} - 2317206624 T^{14} + 6975757441 T^{16} )^{2}$$)($$1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4}$$)($$1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4}$$)($$1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4}$$)($$1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4}$$)($$1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4}$$)($$1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4}$$)($$1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4}$$)($$1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4}$$)($$1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4}$$)($$( 1 - 12 T + 65 T^{2} - 204 T^{3} + 289 T^{4} )( 1 + 12 T + 65 T^{2} + 204 T^{3} + 289 T^{4} )$$)($$( 1 - 12 T + 65 T^{2} - 204 T^{3} + 289 T^{4} )( 1 + 12 T + 65 T^{2} + 204 T^{3} + 289 T^{4} )$$)($$1 + 6 T + T^{2} + 6 T^{3} + 324 T^{4} + 102 T^{5} + 289 T^{6} + 29478 T^{7} + 83521 T^{8}$$)($$( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} )^{2}$$)($$1 - 16 T^{2} - 33 T^{4} - 4624 T^{6} + 83521 T^{8}$$)($$1 - 16 T^{2} - 33 T^{4} - 4624 T^{6} + 83521 T^{8}$$)($$1 - 16 T^{2} - 33 T^{4} - 4624 T^{6} + 83521 T^{8}$$)($$1 + 16 T^{2} - 33 T^{4} + 4624 T^{6} + 83521 T^{8}$$)($$( 1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4} )^{2}$$)($$( 1 - 12 T + 65 T^{2} - 204 T^{3} + 289 T^{4} )( 1 + 12 T + 65 T^{2} + 204 T^{3} + 289 T^{4} )$$)($$( 1 - 12 T + 65 T^{2} - 204 T^{3} + 289 T^{4} )( 1 + 12 T + 65 T^{2} + 204 T^{3} + 289 T^{4} )$$)($$1 + 6 T + T^{2} + 6 T^{3} + 324 T^{4} + 102 T^{5} + 289 T^{6} + 29478 T^{7} + 83521 T^{8}$$)($$( 1 - 16 T^{2} - 33 T^{4} - 4624 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 4 T + 10 T^{2} + 112 T^{3} - 525 T^{4} + 1904 T^{5} + 2890 T^{6} - 19652 T^{7} + 83521 T^{8} )^{2}( 1 + 4 T + 10 T^{2} - 112 T^{3} - 525 T^{4} - 1904 T^{5} + 2890 T^{6} + 19652 T^{7} + 83521 T^{8} )^{2}$$)($$( 1 + 46 T^{2} + 1137 T^{4} + 1392 T^{5} + 19214 T^{6} + 46992 T^{7} + 276452 T^{8} + 798864 T^{9} + 5552846 T^{10} + 6838896 T^{11} + 94963377 T^{12} + 1110328174 T^{14} + 6975757441 T^{16} )^{2}$$)($$( 1 + 480 T^{4} + 146879 T^{8} + 40090080 T^{12} + 6975757441 T^{16} )^{2}$$)($$( 1 + 17 T^{2} + 289 T^{4} )^{2}$$)($$1 - 48 T^{2} + 1152 T^{4} - 27552 T^{6} + 577727 T^{8} - 7962528 T^{10} + 96216192 T^{12} - 1158603312 T^{14} + 6975757441 T^{16}$$)($$1 + 48 T^{2} + 1248 T^{4} + 22944 T^{6} + 365759 T^{8} + 6630816 T^{10} + 104234208 T^{12} + 1158603312 T^{14} + 6975757441 T^{16}$$)($$1 + 48 T^{2} + 1248 T^{4} + 22944 T^{6} + 365759 T^{8} + 6630816 T^{10} + 104234208 T^{12} + 1158603312 T^{14} + 6975757441 T^{16}$$)($$( 1 + 10 T^{2} - 189 T^{4} + 2890 T^{6} + 83521 T^{8} )^{2}$$)($$1 + 48 T^{2} + 1152 T^{4} + 27552 T^{6} + 577727 T^{8} + 7962528 T^{10} + 96216192 T^{12} + 1158603312 T^{14} + 6975757441 T^{16}$$)($$( 1 - 3 T + 39 T^{2} - 108 T^{3} + 729 T^{4} - 753 T^{5} + 12014 T^{6} - 12801 T^{7} + 210681 T^{8} - 530604 T^{9} + 3257319 T^{10} - 4259571 T^{11} + 24137569 T^{12} )^{2}$$)($$( 1 + 48 T^{2} + 1248 T^{4} + 22944 T^{6} + 365759 T^{8} + 6630816 T^{10} + 104234208 T^{12} + 1158603312 T^{14} + 6975757441 T^{16} )^{2}$$)($$( 1 - 17 T^{2} + 289 T^{4} )^{2}$$)($$( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} )^{4}$$)($$( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} )^{4}$$)($$( 1 - 17 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - T - 33 T^{2} - 8 T^{3} + 565 T^{4} + 425 T^{5} - 9946 T^{6} + 7225 T^{7} + 163285 T^{8} - 39304 T^{9} - 2756193 T^{10} - 1419857 T^{11} + 24137569 T^{12} )^{2}$$)
$19$ ($$1 + 6 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 - 6 T + 19 T^{2}$$)($$1 - 6 T + 19 T^{2}$$)($$1 - 6 T + 19 T^{2}$$)($$1 + 10 T + 61 T^{2} + 190 T^{3} + 361 T^{4}$$)($$1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4}$$)($$1 + 10 T + 61 T^{2} + 190 T^{3} + 361 T^{4}$$)($$1 - 25 T^{2} + 361 T^{4}$$)($$1 + 35 T^{2} + 361 T^{4}$$)($$( 1 + 19 T^{2} )^{2}$$)($$( 1 + 19 T^{2} )^{2}$$)($$1 + 20 T^{2} + 361 T^{4}$$)($$1 + 20 T^{2} + 361 T^{4}$$)($$1 + 35 T^{2} + 361 T^{4}$$)($$1 - 25 T^{2} + 361 T^{4}$$)($$1 - 10 T + 61 T^{2} - 190 T^{3} + 361 T^{4}$$)($$1 + 2 T + 34 T^{2} + 38 T^{3} + 361 T^{4}$$)($$1 - 10 T + 61 T^{2} - 190 T^{3} + 361 T^{4}$$)($$( 1 + 28 T^{2} + 361 T^{4} )^{2}$$)($$1 - 20 T^{2} + 361 T^{4}$$)($$( 1 - 19 T^{2} )^{2}$$)($$1 + 650 T^{4} + 130321 T^{8}$$)($$1 - 66 T^{2} + 1794 T^{4} - 23826 T^{6} + 130321 T^{8}$$)($$1 - 53 T^{2} + 1594 T^{4} - 32937 T^{6} + 575434 T^{8} - 6907013 T^{10} + 47045881 T^{12}$$)($$1 - 53 T^{2} + 1594 T^{4} - 32937 T^{6} + 575434 T^{8} - 6907013 T^{10} + 47045881 T^{12}$$)($$( 1 - 62 T^{2} + 1575 T^{4} - 28796 T^{6} + 568575 T^{8} - 8079902 T^{10} + 47045881 T^{12} )^{2}$$)($$1 - 24 T^{2} + 288 T^{4} - 8664 T^{6} + 130321 T^{8}$$)($$1 + 24 T^{2} + 288 T^{4} + 8664 T^{6} + 130321 T^{8}$$)($$( 1 - 36 T^{2} + 1038 T^{4} - 12996 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 - 56 T^{2} + 1504 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 - 69 T^{2} + 2478 T^{4} - 57917 T^{6} + 894558 T^{8} - 8992149 T^{10} + 47045881 T^{12} )^{2}$$)($$( 1 + 56 T^{2} + 1504 T^{4} + 20216 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 120 T^{2} + 6522 T^{4} + 215520 T^{6} + 4866395 T^{8} + 77802720 T^{10} + 849953562 T^{12} + 5645505720 T^{14} + 16983563041 T^{16} )^{2}$$)($$( 1 - 12 T^{2} + 982 T^{4} - 11708 T^{6} + 448610 T^{8} - 4226588 T^{10} + 127975222 T^{12} - 564550572 T^{14} + 16983563041 T^{16} )^{2}$$)($$1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4}$$)($$1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4}$$)($$1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4}$$)($$1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4}$$)($$1 - 19 T^{2} + 361 T^{4}$$)($$1 - 19 T^{2} + 361 T^{4}$$)($$1 - 19 T^{2} + 361 T^{4}$$)($$1 - 19 T^{2} + 361 T^{4}$$)($$1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 - 2 T - 30 T^{2} + 8 T^{3} + 719 T^{4} + 152 T^{5} - 10830 T^{6} - 13718 T^{7} + 130321 T^{8}$$)($$1 - 2 T - 30 T^{2} + 8 T^{3} + 719 T^{4} + 152 T^{5} - 10830 T^{6} - 13718 T^{7} + 130321 T^{8}$$)($$1 + 10 T + 39 T^{2} + 230 T^{3} + 1460 T^{4} + 4370 T^{5} + 14079 T^{6} + 68590 T^{7} + 130321 T^{8}$$)($$1 + 25 T^{2} + 264 T^{4} + 9025 T^{6} + 130321 T^{8}$$)($$1 - 20 T^{2} + 39 T^{4} - 7220 T^{6} + 130321 T^{8}$$)($$1 - 20 T^{2} + 39 T^{4} - 7220 T^{6} + 130321 T^{8}$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{2}$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{2}$$)($$1 - 35 T^{2} + 864 T^{4} - 12635 T^{6} + 130321 T^{8}$$)($$1 + 2 T - 30 T^{2} - 8 T^{3} + 719 T^{4} - 152 T^{5} - 10830 T^{6} + 13718 T^{7} + 130321 T^{8}$$)($$1 + 2 T - 30 T^{2} - 8 T^{3} + 719 T^{4} - 152 T^{5} - 10830 T^{6} + 13718 T^{7} + 130321 T^{8}$$)($$1 - 10 T + 39 T^{2} - 230 T^{3} + 1460 T^{4} - 4370 T^{5} + 14079 T^{6} - 68590 T^{7} + 130321 T^{8}$$)($$( 1 - 28 T^{2} + 423 T^{4} - 10108 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 - 36 T^{2} + 258 T^{4} - 11376 T^{6} + 479267 T^{8} - 4106736 T^{10} + 33622818 T^{12} - 1693651716 T^{14} + 16983563041 T^{16} )^{2}$$)($$1 - 120 T^{2} + 7878 T^{4} - 351600 T^{6} + 11807689 T^{8} - 315489360 T^{10} + 7073822934 T^{12} - 141586703880 T^{14} + 2708298760020 T^{16} - 51112800100680 T^{18} + 921867678581814 T^{20} - 14842474887326160 T^{22} + 200536630500022249 T^{24} - 2155682896242831600 T^{26} + 17436494932403216358 T^{28} - 95880802293946094520 T^{30} +$$$$28\!\cdots\!81$$$$T^{32}$$)($$( 1 - 56 T^{2} + 1632 T^{4} - 43792 T^{6} + 999599 T^{8} - 15808912 T^{10} + 212683872 T^{12} - 2634569336 T^{14} + 16983563041 T^{16} )^{2}$$)($$( 1 + 19 T^{2} + 361 T^{4} )^{2}$$)($$1 - 24 T^{2} + 288 T^{4} + 10416 T^{6} - 255313 T^{8} + 3760176 T^{10} + 37532448 T^{12} - 1129101144 T^{14} + 16983563041 T^{16}$$)($$1 + 36 T^{2} + 258 T^{4} + 11376 T^{6} + 479267 T^{8} + 4106736 T^{10} + 33622818 T^{12} + 1693651716 T^{14} + 16983563041 T^{16}$$)($$1 + 36 T^{2} + 258 T^{4} + 11376 T^{6} + 479267 T^{8} + 4106736 T^{10} + 33622818 T^{12} + 1693651716 T^{14} + 16983563041 T^{16}$$)($$( 1 + 32 T^{2} + 663 T^{4} + 11552 T^{6} + 130321 T^{8} )^{2}$$)($$1 + 24 T^{2} + 288 T^{4} - 10416 T^{6} - 255313 T^{8} - 3760176 T^{10} + 37532448 T^{12} + 1129101144 T^{14} + 16983563041 T^{16}$$)($$( 1 + 3 T + 39 T^{2} + 108 T^{3} + 705 T^{4} + 2265 T^{5} + 12706 T^{6} + 43035 T^{7} + 254505 T^{8} + 740772 T^{9} + 5082519 T^{10} + 7428297 T^{11} + 47045881 T^{12} )^{2}$$)($$( 1 + 56 T^{2} + 1632 T^{4} + 43792 T^{6} + 999599 T^{8} + 15808912 T^{10} + 212683872 T^{12} + 2634569336 T^{14} + 16983563041 T^{16} )^{2}$$)($$( 1 + 19 T^{2} + 361 T^{4} )^{2}$$)($$1 + 20 T^{2} + 39 T^{4} + 7220 T^{6} + 130321 T^{8}$$)($$1 + 20 T^{2} + 39 T^{4} + 7220 T^{6} + 130321 T^{8}$$)($$1 + 66 T^{2} + 2562 T^{4} + 70752 T^{6} + 1515599 T^{8} + 25541472 T^{10} + 333882402 T^{12} + 3105028146 T^{14} + 16983563041 T^{16}$$)($$1 + 66 T^{2} + 2562 T^{4} + 70752 T^{6} + 1515599 T^{8} + 25541472 T^{10} + 333882402 T^{12} + 3105028146 T^{14} + 16983563041 T^{16}$$)($$1 - 650 T^{4} + 292179 T^{8} - 84708650 T^{12} + 16983563041 T^{16}$$)($$1 + 53 T^{2} + 1215 T^{4} + 18608 T^{6} + 219741 T^{8} - 1587413 T^{10} - 104375754 T^{12} - 573056093 T^{14} + 28636866861 T^{16} + 875429753648 T^{18} + 20635029094815 T^{20} + 324946511663453 T^{22} + 2213314919066161 T^{24}$$)
$23$ ($$1 + 4 T + 23 T^{2}$$)($$1 + 8 T + 23 T^{2}$$)($$1 - 4 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 - 4 T + 23 T^{2}$$)($$1 - 8 T + 23 T^{2}$$)($$1 + 4 T + 23 T^{2}$$)($$1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4}$$)($$( 1 + 4 T + 23 T^{2} )^{2}$$)($$1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4}$$)($$1 + 39 T^{2} + 529 T^{4}$$)($$1 + 43 T^{2} + 529 T^{4}$$)($$( 1 + 23 T^{2} )^{2}$$)($$( 1 + 23 T^{2} )^{2}$$)($$( 1 + 8 T + 23 T^{2} )^{2}$$)($$( 1 - 8 T + 23 T^{2} )^{2}$$)($$1 + 43 T^{2} + 529 T^{4}$$)($$1 + 39 T^{2} + 529 T^{4}$$)($$1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4}$$)($$( 1 - 4 T + 23 T^{2} )^{2}$$)($$1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4}$$)($$( 1 - 34 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 6 T + 23 T^{2} )^{2}$$)($$( 1 + 8 T + 23 T^{2} )^{2}$$)($$( 1 - 6 T + 23 T^{2} )^{4}$$)($$( 1 + 2 T + 30 T^{2} + 46 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - T + 62 T^{2} - 37 T^{3} + 1426 T^{4} - 529 T^{5} + 12167 T^{6} )^{2}$$)($$( 1 - T + 62 T^{2} - 37 T^{3} + 1426 T^{4} - 529 T^{5} + 12167 T^{6} )^{2}$$)($$( 1 + 8 T + 65 T^{2} + 304 T^{3} + 1495 T^{4} + 4232 T^{5} + 12167 T^{6} )^{4}$$)($$( 1 - 23 T^{2} )^{4}$$)($$( 1 - 23 T^{2} )^{4}$$)($$( 1 - 20 T^{2} + 6 T^{4} - 10580 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 52 T^{2} + 1606 T^{4} - 27508 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 69 T^{2} + 2898 T^{4} - 77913 T^{6} + 1533042 T^{8} - 19309029 T^{10} + 148035889 T^{12} )^{2}$$)($$( 1 - 20 T^{2} + 646 T^{4} - 10580 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 136 T^{2} + 8874 T^{4} - 360992 T^{6} + 9968363 T^{8} - 190964768 T^{10} + 2483309034 T^{12} - 20132880904 T^{14} + 78310985281 T^{16} )^{2}$$)($$( 1 - 80 T^{2} + 3036 T^{4} - 81328 T^{6} + 1920134 T^{8} - 43022512 T^{10} + 849597276 T^{12} - 11842871120 T^{14} + 78310985281 T^{16} )^{2}$$)($$1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4}$$)($$1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4}$$)($$1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4}$$)($$1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4}$$)($$1 - 23 T^{2} + 529 T^{4}$$)($$1 - 23 T^{2} + 529 T^{4}$$)($$1 - 23 T^{2} + 529 T^{4}$$)($$1 - 23 T^{2} + 529 T^{4}$$)($$1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4}$$)($$1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4}$$)($$1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4}$$)($$1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4}$$)($$( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{2}$$)($$1 + 2 T - 25 T^{2} - 34 T^{3} + 220 T^{4} - 782 T^{5} - 13225 T^{6} + 24334 T^{7} + 279841 T^{8}$$)($$1 - 39 T^{2} + 992 T^{4} - 20631 T^{6} + 279841 T^{8}$$)($$( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - 23 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 23 T^{2} + 529 T^{4} )^{2}$$)($$1 - 43 T^{2} + 1320 T^{4} - 22747 T^{6} + 279841 T^{8}$$)($$( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} )^{2}$$)($$1 - 2 T - 25 T^{2} + 34 T^{3} + 220 T^{4} + 782 T^{5} - 13225 T^{6} - 24334 T^{7} + 279841 T^{8}$$)($$( 1 - 6 T + 35 T^{2} - 138 T^{3} + 529 T^{4} )^{2}( 1 + 6 T + 35 T^{2} + 138 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 20 T^{2} - 246 T^{4} - 8240 T^{6} - 74125 T^{8} - 4358960 T^{10} - 68840886 T^{12} + 2960717780 T^{14} + 78310985281 T^{16} )^{2}$$)($$1 + 136 T^{2} + 9622 T^{4} + 484880 T^{6} + 19684601 T^{8} + 683013040 T^{10} + 20851380422 T^{12} + 567119503160 T^{14} + 13792455622804 T^{16} + 300006217171640 T^{18} + 5835071148672902 T^{20} + 101110442574992560 T^{22} + 1541520499173357881 T^{24} + 20086886757274127120 T^{26} +$$$$21\!\cdots\!62$$$$T^{28} +$$$$15\!\cdots\!24$$$$T^{30} +$$$$61\!\cdots\!61$$$$T^{32}$$)($$( 1 + 20 T^{2} - 246 T^{4} - 8240 T^{6} - 74125 T^{8} - 4358960 T^{10} - 68840886 T^{12} + 2960717780 T^{14} + 78310985281 T^{16} )^{2}$$)($$( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} )$$)($$( 1 + 23 T^{2} + 529 T^{4} )^{4}$$)($$( 1 + 12 T + 82 T^{2} + 408 T^{3} + 1731 T^{4} + 9384 T^{5} + 43378 T^{6} + 146004 T^{7} + 279841 T^{8} )^{2}$$)($$( 1 - 12 T + 82 T^{2} - 408 T^{3} + 1731 T^{4} - 9384 T^{5} + 43378 T^{6} - 146004 T^{7} + 279841 T^{8} )^{2}$$)($$( 1 + 30 T^{2} + 371 T^{4} + 15870 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 23 T^{2} + 529 T^{4} )^{4}$$)($$1 + 69 T^{2} + 1863 T^{4} + 44136 T^{6} + 1489365 T^{8} + 33541107 T^{10} + 591428630 T^{12} + 17743245603 T^{14} + 416785390965 T^{16} + 6533711996904 T^{18} + 145893365578503 T^{20} + 2858429273741781 T^{22} + 21914624432020321 T^{24}$$)($$( 1 + 52 T^{2} + 1098 T^{4} + 28496 T^{6} + 868979 T^{8} + 15074384 T^{10} + 307265418 T^{12} + 7697866228 T^{14} + 78310985281 T^{16} )^{2}$$)($$( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - 2 T - 26 T^{2} + 32 T^{3} + 279 T^{4} + 736 T^{5} - 13754 T^{6} - 24334 T^{7} + 279841 T^{8} )^{2}$$)($$( 1 - 2 T - 26 T^{2} + 32 T^{3} + 279 T^{4} + 736 T^{5} - 13754 T^{6} - 24334 T^{7} + 279841 T^{8} )^{2}$$)($$( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{4}$$)($$( 1 + T - 61 T^{2} - 12 T^{3} + 2381 T^{4} - 29 T^{5} - 63238 T^{6} - 667 T^{7} + 1259549 T^{8} - 146004 T^{9} - 17070301 T^{10} + 6436343 T^{11} + 148035889 T^{12} )^{2}$$)
$29$ ($$1 + 6 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 + 6 T + 29 T^{2}$$)($$1 - 10 T + 29 T^{2}$$)($$1 + 10 T + 29 T^{2}$$)($$1 - 10 T + 29 T^{2}$$)($$1 + 6 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 + 6 T + 29 T^{2}$$)($$1 + 50 T^{2} + 841 T^{4}$$)($$1 + 38 T^{2} + 841 T^{4}$$)($$1 + 50 T^{2} + 841 T^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{2}$$)($$( 1 - 8 T + 29 T^{2} )^{2}$$)($$( 1 + 4 T + 29 T^{2} )^{2}$$)($$( 1 - 4 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 - 8 T + 29 T^{2} )^{2}$$)($$( 1 + 4 T + 29 T^{2} )^{2}$$)($$1 + 50 T^{2} + 841 T^{4}$$)($$1 + 38 T^{2} + 841 T^{4}$$)($$1 + 50 T^{2} + 841 T^{4}$$)($$( 1 + 6 T + 29 T^{2} )^{4}$$)($$1 - 50 T^{2} + 841 T^{4}$$)($$( 1 - 2 T + 29 T^{2} )( 1 + 2 T + 29 T^{2} )$$)($$( 1 - 29 T^{2} )^{4}$$)($$1 - 76 T^{2} + 2854 T^{4} - 63916 T^{6} + 707281 T^{8}$$)($$1 - 102 T^{2} + 4567 T^{4} - 141988 T^{6} + 3840847 T^{8} - 72142662 T^{10} + 594823321 T^{12}$$)($$1 - 102 T^{2} + 4567 T^{4} - 141988 T^{6} + 3840847 T^{8} - 72142662 T^{10} + 594823321 T^{12}$$)($$( 1 - 74 T^{2} + 3111 T^{4} - 92204 T^{6} + 2616351 T^{8} - 52338794 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 - 29 T^{2} )^{4}$$)($$( 1 - 29 T^{2} )^{4}$$)($$( 1 - 8 T^{2} + 546 T^{4} - 6728 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 76 T^{2} + 2998 T^{4} - 63916 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 126 T^{2} + 7623 T^{4} - 278868 T^{6} + 6410943 T^{8} - 89117406 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 + 4 T + 29 T^{2} )^{8}$$)($$( 1 - 4 T + 88 T^{2} - 332 T^{3} + 3534 T^{4} - 9628 T^{5} + 74008 T^{6} - 97556 T^{7} + 707281 T^{8} )^{4}$$)($$( 1 - 8 T + 50 T^{2} - 360 T^{3} + 2786 T^{4} - 10440 T^{5} + 42050 T^{6} - 195112 T^{7} + 707281 T^{8} )^{4}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 - 10 T + 29 T^{2} )^{2}$$)($$( 1 + 10 T + 29 T^{2} )^{2}$$)($$( 1 + 10 T + 29 T^{2} )^{2}$$)($$( 1 - 10 T + 29 T^{2} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 + 38 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 4 T + 29 T^{2} )^{4}$$)($$( 1 - 6 T + 29 T^{2} )^{4}$$)($$( 1 - 6 T + 29 T^{2} )^{4}$$)($$( 1 - 4 T + 29 T^{2} )^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{4}$$)($$( 1 - 8 T + 29 T^{2} )^{4}$$)($$( 1 + 38 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{8}$$)($$( 1 + 4 T + 30 T^{2} + 116 T^{3} + 841 T^{4} )^{8}$$)($$( 1 - 4 T + 88 T^{2} - 332 T^{3} + 3534 T^{4} - 9628 T^{5} + 74008 T^{6} - 97556 T^{7} + 707281 T^{8} )^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{16}$$)($$( 1 - 2 T + 29 T^{2} )^{2}( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 - 29 T^{2} )^{8}$$)($$( 1 - 8 T^{2} + 546 T^{4} - 6728 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 8 T^{2} + 546 T^{4} - 6728 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 10 T + 29 T^{2} )^{4}( 1 + 10 T + 29 T^{2} )^{4}$$)($$( 1 - 29 T^{2} )^{8}$$)($$( 1 - 126 T^{2} + 7623 T^{4} - 278868 T^{6} + 6410943 T^{8} - 89117406 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 - 76 T^{2} + 2998 T^{4} - 63916 T^{6} + 707281 T^{8} )^{4}$$)($$( 1 - 2 T + 29 T^{2} )^{2}( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 - 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 76 T^{2} + 2854 T^{4} - 63916 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 76 T^{2} + 2854 T^{4} - 63916 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 29 T^{2} )^{8}$$)($$( 1 - 102 T^{2} + 4567 T^{4} - 141988 T^{6} + 3840847 T^{8} - 72142662 T^{10} + 594823321 T^{12} )^{2}$$)
$31$ ($$1 - 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 4 T + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 14 T + 109 T^{2} + 434 T^{3} + 961 T^{4}$$)($$1 - 4 T + 46 T^{2} - 124 T^{3} + 961 T^{4}$$)($$1 + 14 T + 109 T^{2} + 434 T^{3} + 961 T^{4}$$)($$1 + 55 T^{2} + 961 T^{4}$$)($$1 - 13 T^{2} + 961 T^{4}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 + 31 T^{2} )^{2}$$)($$1 - 10 T^{2} + 961 T^{4}$$)($$1 - 10 T^{2} + 961 T^{4}$$)($$1 - 13 T^{2} + 961 T^{4}$$)($$1 + 55 T^{2} + 961 T^{4}$$)($$1 - 14 T + 109 T^{2} - 434 T^{3} + 961 T^{4}$$)($$1 + 4 T + 46 T^{2} + 124 T^{3} + 961 T^{4}$$)($$1 - 14 T + 109 T^{2} - 434 T^{3} + 961 T^{4}$$)($$( 1 + 22 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 4 T - 2 T^{2} + 124 T^{3} + 961 T^{4} )^{2}$$)($$( 1 + 5 T + 96 T^{2} + 303 T^{3} + 2976 T^{4} + 4805 T^{5} + 29791 T^{6} )^{2}$$)($$( 1 - 5 T + 96 T^{2} - 303 T^{3} + 2976 T^{4} - 4805 T^{5} + 29791 T^{6} )^{2}$$)($$( 1 + 74 T^{2} + 2639 T^{4} + 78924 T^{6} + 2536079 T^{8} + 68340554 T^{10} + 887503681 T^{12} )^{2}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 76 T^{2} + 3078 T^{4} + 73036 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 12 T^{2} - 634 T^{4} + 11532 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 87 T^{2} + 3702 T^{4} + 121871 T^{6} + 3557622 T^{8} + 80346327 T^{10} + 887503681 T^{12} )^{2}$$)($$( 1 + 60 T^{2} + 2310 T^{4} + 57660 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 120 T^{2} + 7674 T^{4} + 348000 T^{6} + 12242939 T^{8} + 334428000 T^{10} + 7087100154 T^{12} + 106500441720 T^{14} + 852891037441 T^{16} )^{2}$$)($$( 1 + 60 T^{2} + 2310 T^{4} + 57660 T^{6} + 923521 T^{8} )^{4}$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$$)($$( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} )$$)($$( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} )$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$$)($$1 - 31 T^{2} + 961 T^{4}$$)($$1 - 31 T^{2} + 961 T^{4}$$)($$1 - 31 T^{2} + 961 T^{4}$$)($$1 - 31 T^{2} + 961 T^{4}$$)($$( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} )$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$$)($$( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} )$$)($$1 - 4 T - 30 T^{2} + 64 T^{3} + 659 T^{4} + 1984 T^{5} - 28830 T^{6} - 119164 T^{7} + 923521 T^{8}$$)($$1 - 4 T - 30 T^{2} + 64 T^{3} + 659 T^{4} + 1984 T^{5} - 28830 T^{6} - 119164 T^{7} + 923521 T^{8}$$)($$1 + 14 T + 87 T^{2} + 658 T^{3} + 4844 T^{4} + 20398 T^{5} + 83607 T^{6} + 417074 T^{7} + 923521 T^{8}$$)($$1 - 55 T^{2} + 2064 T^{4} - 52855 T^{6} + 923521 T^{8}$$)($$1 + 10 T^{2} - 861 T^{4} + 9610 T^{6} + 923521 T^{8}$$)($$1 + 10 T^{2} - 861 T^{4} + 9610 T^{6} + 923521 T^{8}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 + 59 T^{2} + 961 T^{4} )$$)($$1 + 4 T - 30 T^{2} - 64 T^{3} + 659 T^{4} - 1984 T^{5} - 28830 T^{6} + 119164 T^{7} + 923521 T^{8}$$)($$1 + 4 T - 30 T^{2} - 64 T^{3} + 659 T^{4} - 1984 T^{5} - 28830 T^{6} + 119164 T^{7} + 923521 T^{8}$$)($$1 - 14 T + 87 T^{2} - 658 T^{3} + 4844 T^{4} - 20398 T^{5} + 83607 T^{6} - 417074 T^{7} + 923521 T^{8}$$)($$( 1 - 22 T^{2} - 477 T^{4} - 21142 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 - 60 T^{2} + 1290 T^{4} - 23280 T^{6} + 952979 T^{8} - 22372080 T^{10} + 1191342090 T^{12} - 53250220860 T^{14} + 852891037441 T^{16} )^{2}$$)($$1 - 120 T^{2} + 6726 T^{4} - 224880 T^{6} + 4887337 T^{8} - 66674640 T^{10} + 1194526422 T^{12} - 84694288200 T^{14} + 3829419751284 T^{16} - 81391210960200 T^{18} + 1103170235771862 T^{20} - 59173988429349840 T^{22} + 4168365924253784617 T^{24} -$$$$18\!\cdots\!80$$$$T^{26} +$$$$52\!\cdots\!86$$$$T^{28} -$$$$90\!\cdots\!20$$$$T^{30} +$$$$72\!\cdots\!81$$$$T^{32}$$)($$( 1 - 60 T^{2} + 1290 T^{4} - 23280 T^{6} + 952979 T^{8} - 22372080 T^{10} + 1191342090 T^{12} - 53250220860 T^{14} + 852891037441 T^{16} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{4}$$)($$1 - 76 T^{2} + 2698 T^{4} - 87856 T^{6} + 2999827 T^{8} - 84429616 T^{10} + 2491659658 T^{12} - 67450279756 T^{14} + 852891037441 T^{16}$$)($$1 - 76 T^{2} + 2698 T^{4} - 87856 T^{6} + 2999827 T^{8} - 84429616 T^{10} + 2491659658 T^{12} - 67450279756 T^{14} + 852891037441 T^{16}$$)($$( 1 - 38 T^{2} + 483 T^{4} - 36518 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{4}$$)($$1 - 87 T^{2} + 3867 T^{4} - 78332 T^{6} - 455595 T^{8} + 87513459 T^{10} - 3532899090 T^{12} + 84100434099 T^{14} - 420751549995 T^{16} - 69519938340092 T^{18} + 3298129641784347 T^{20} - 71307660967329687 T^{22} + 787662783788549761 T^{24}$$)($$( 1 - 12 T^{2} + 778 T^{4} + 30672 T^{6} - 659949 T^{8} + 29475792 T^{10} + 718499338 T^{12} - 10650044172 T^{14} + 852891037441 T^{16} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2}$$)($$( 1 - 7 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2}$$)($$( 1 + 4 T + 18 T^{2} - 256 T^{3} - 1453 T^{4} - 7936 T^{5} + 17298 T^{6} + 119164 T^{7} + 923521 T^{8} )^{2}$$)($$( 1 - 4 T + 18 T^{2} + 256 T^{3} - 1453 T^{4} + 7936 T^{5} + 17298 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2}$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{4}$$)($$( 1 - 5 T - 71 T^{2} + 126 T^{3} + 4725 T^{4} - 4133 T^{5} - 158330 T^{6} - 128123 T^{7} + 4540725 T^{8} + 3753666 T^{9} - 65569991 T^{10} - 143145755 T^{11} + 887503681 T^{12} )^{2}$$)
$37$ ($$1 + 6 T + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$1 + 6 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 + 6 T + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$1 + 6 T + 37 T^{2}$$)($$1 - 6 T + 51 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$1 + 54 T^{2} + 1369 T^{4}$$)($$1 - 6 T + 51 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$( 1 + 5 T + 37 T^{2} )^{2}$$)($$( 1 + 5 T + 37 T^{2} )^{2}$$)($$( 1 + 12 T + 37 T^{2} )^{2}$$)($$( 1 - 12 T + 37 T^{2} )^{2}$$)($$( 1 + 2 T + 37 T^{2} )^{2}$$)($$( 1 + 2 T + 37 T^{2} )^{2}$$)($$( 1 + 5 T + 37 T^{2} )^{2}$$)($$( 1 + 5 T + 37 T^{2} )^{2}$$)($$1 - 6 T + 51 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$1 + 54 T^{2} + 1369 T^{4}$$)($$1 - 6 T + 51 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$( 1 - 2 T + 37 T^{2} )^{4}$$)($$1 - 2 T^{2} + 1369 T^{4}$$)($$( 1 - 6 T + 37 T^{2} )( 1 + 6 T + 37 T^{2} )$$)($$( 1 - 37 T^{2} )^{4}$$)($$1 - 108 T^{2} + 5382 T^{4} - 147852 T^{6} + 1874161 T^{8}$$)($$1 - 161 T^{2} + 12406 T^{4} - 578469 T^{6} + 16983814 T^{8} - 301739921 T^{10} + 2565726409 T^{12}$$)($$1 - 161 T^{2} + 12406 T^{4} - 578469 T^{6} + 16983814 T^{8} - 301739921 T^{10} + 2565726409 T^{12}$$)($$( 1 - 106 T^{2} + 6487 T^{4} - 290860 T^{6} + 8880703 T^{8} - 198661066 T^{10} + 2565726409 T^{12} )^{2}$$)($$( 1 - 37 T^{2} )^{4}$$)($$( 1 - 37 T^{2} )^{4}$$)($$( 1 - 68 T^{2} + 1369 T^{4} )^{4}$$)($$( 1 - 92 T^{2} + 4342 T^{4} - 125948 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 105 T^{2} + 7686 T^{4} - 327133 T^{6} + 10522134 T^{8} - 196786905 T^{10} + 2565726409 T^{12} )^{2}$$)($$( 1 + 16 T + 130 T^{2} + 592 T^{3} + 1369 T^{4} )^{4}$$)($$( 1 - 4 T + 90 T^{2} - 224 T^{3} + 4259 T^{4} - 8288 T^{5} + 123210 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{4}$$)($$( 1 - 16 T + 218 T^{2} - 1872 T^{3} + 13410 T^{4} - 69264 T^{5} + 298442 T^{6} - 810448 T^{7} + 1874161 T^{8} )^{4}$$)($$1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4}$$)($$( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4}$$)($$1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4}$$)($$1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4}$$)($$1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4}$$)($$1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4}$$)($$1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4}$$)($$( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4}$$)($$1 - 54 T^{2} + 1547 T^{4} - 73926 T^{6} + 1874161 T^{8}$$)($$1 - 54 T^{2} + 1547 T^{4} - 73926 T^{6} + 1874161 T^{8}$$)($$1 + 6 T - 15 T^{2} - 138 T^{3} - 100 T^{4} - 5106 T^{5} - 20535 T^{6} + 303918 T^{7} + 1874161 T^{8}$$)($$( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 + 12 T + 107 T^{2} + 444 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 12 T + 107 T^{2} - 444 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} )^{2}$$)($$1 - 54 T^{2} + 1547 T^{4} - 73926 T^{6} + 1874161 T^{8}$$)($$1 - 54 T^{2} + 1547 T^{4} - 73926 T^{6} + 1874161 T^{8}$$)($$1 + 6 T - 15 T^{2} - 138 T^{3} - 100 T^{4} - 5106 T^{5} - 20535 T^{6} + 303918 T^{7} + 1874161 T^{8}$$)($$( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )^{4}$$)($$( 1 - 4 T - 30 T^{2} + 112 T^{3} + 155 T^{4} + 4144 T^{5} - 41070 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{4}$$)($$( 1 + 4 T - 74 T^{2} - 88 T^{3} + 2945 T^{4} - 5624 T^{5} - 119866 T^{6} + 157628 T^{7} + 4940404 T^{8} + 5832236 T^{9} - 164096554 T^{10} - 284872472 T^{11} + 5519404145 T^{12} - 6102268216 T^{13} - 189863754266 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} )^{2}$$)($$( 1 - 16 T + 126 T^{2} - 896 T^{3} + 6059 T^{4} - 33152 T^{5} + 172494 T^{6} - 810448 T^{7} + 1874161 T^{8} )^{4}$$)($$( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )$$)($$( 1 + 37 T^{2} + 1369 T^{4} )^{4}$$)($$( 1 + 68 T^{2} + 3255 T^{4} + 93092 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 + 68 T^{2} + 3255 T^{4} + 93092 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 + 37 T^{2} + 1369 T^{4} )^{4}$$)($$1 + 105 T^{2} + 3339 T^{4} + 152764 T^{6} + 14203497 T^{8} + 501483003 T^{10} + 10611705558 T^{12} + 686530231107 T^{14} + 26619640141017 T^{16} + 391950629144476 T^{18} + 11728168896642219 T^{20} + 504901359103874145 T^{22} + 6582952005840035281 T^{24}$$)($$( 1 + 92 T^{2} + 4122 T^{4} + 147568 T^{6} + 5391587 T^{8} + 202020592 T^{10} + 7725291642 T^{12} + 236046829628 T^{14} + 3512479453921 T^{16} )^{2}$$)($$( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )$$)($$1 + 2 T^{2} - 1365 T^{4} + 2738 T^{6} + 1874161 T^{8}$$)($$1 + 2 T^{2} - 1365 T^{4} + 2738 T^{6} + 1874161 T^{8}$$)($$1 + 108 T^{2} + 6282 T^{4} + 285552 T^{6} + 11123747 T^{8} + 390920688 T^{10} + 11773479402 T^{12} + 277098452172 T^{14} + 3512479453921 T^{16}$$)($$1 + 108 T^{2} + 6282 T^{4} + 285552 T^{6} + 11123747 T^{8} + 390920688 T^{10} + 11773479402 T^{12} + 277098452172 T^{14} + 3512479453921 T^{16}$$)($$( 1 + 37 T^{2} + 1369 T^{4} )^{4}$$)($$1 + 161 T^{2} + 13515 T^{4} + 840428 T^{6} + 43791513 T^{8} + 2009438227 T^{10} + 80476513014 T^{12} + 2750920932763 T^{14} + 82072345795593 T^{16} + 2156308314463052 T^{18} + 47471159819742315 T^{20} + 774182083959273689 T^{22} + 6582952005840035281 T^{24}$$)
$41$ ($$1 + 4 T + 41 T^{2}$$)($$1 - 10 T + 41 T^{2}$$)($$1 - 4 T + 41 T^{2}$$)($$1 + 8 T + 41 T^{2}$$)($$1 + 10 T + 41 T^{2}$$)($$1 - 8 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 - 10 T + 41 T^{2}$$)($$1 - 4 T + 41 T^{2}$$)($$1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4}$$)($$1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4}$$)($$1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4}$$)($$( 1 - 8 T + 41 T^{2} )^{2}$$)($$( 1 + 4 T + 41 T^{2} )^{2}$$)($$1 - 80 T^{2} + 1681 T^{4}$$)($$1 + 80 T^{2} + 1681 T^{4}$$)($$1 + 64 T^{2} + 1681 T^{4}$$)($$1 + 64 T^{2} + 1681 T^{4}$$)($$( 1 - 4 T + 41 T^{2} )^{2}$$)($$( 1 + 8 T + 41 T^{2} )^{2}$$)($$1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4}$$)($$1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4}$$)($$1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4}$$)($$( 1 + 80 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 6 T + 41 T^{2} )^{2}$$)($$( 1 + 41 T^{2} )^{2}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 - 8 T + 30 T^{2} - 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 2 T + 83 T^{2} - 80 T^{3} + 3403 T^{4} - 3362 T^{5} + 68921 T^{6} )^{2}$$)($$( 1 + 2 T + 83 T^{2} + 80 T^{3} + 3403 T^{4} + 3362 T^{5} + 68921 T^{6} )^{2}$$)($$( 1 + 176 T^{2} + 14579 T^{4} + 741216 T^{6} + 24507299 T^{8} + 497333936 T^{10} + 4750104241 T^{12} )^{2}$$)($$1 - 96 T^{2} + 4608 T^{4} - 161376 T^{6} + 2825761 T^{8}$$)($$1 + 96 T^{2} + 4608 T^{4} + 161376 T^{6} + 2825761 T^{8}$$)($$( 1 - 144 T^{2} + 8448 T^{4} - 242064 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 112 T^{2} + 5920 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 102 T^{2} + 6783 T^{4} - 298852 T^{6} + 11402223 T^{8} - 288227622 T^{10} + 4750104241 T^{12} )^{2}$$)($$( 1 - 64 T^{2} + 2464 T^{4} - 107584 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 272 T^{2} + 34236 T^{4} - 2596336 T^{6} + 129652166 T^{8} - 4364440816 T^{10} + 96742753596 T^{12} - 1292028353552 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 - 128 T^{2} + 8768 T^{4} - 432256 T^{6} + 18288706 T^{8} - 726622336 T^{10} + 24776272448 T^{12} - 608013342848 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 - 4 T + 41 T^{2} )^{2}$$)($$( 1 + 10 T + 41 T^{2} )^{2}$$)($$( 1 - 10 T + 41 T^{2} )^{2}$$)($$( 1 + 4 T + 41 T^{2} )^{2}$$)($$( 1 - 8 T + 41 T^{2} )^{2}$$)($$( 1 + 10 T + 41 T^{2} )^{2}$$)($$( 1 - 10 T + 41 T^{2} )^{2}$$)($$( 1 + 8 T + 41 T^{2} )^{2}$$)($$( 1 - 4 T + 41 T^{2} )^{2}$$)($$( 1 - 10 T + 41 T^{2} )^{2}$$)($$( 1 + 10 T + 41 T^{2} )^{2}$$)($$( 1 + 4 T + 41 T^{2} )^{2}$$)($$( 1 + 8 T + 78 T^{2} + 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 8 T + 41 T^{2} )^{4}$$)($$( 1 + 64 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 64 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 80 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 80 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 4 T + 41 T^{2} )^{4}$$)($$( 1 + 8 T + 78 T^{2} + 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 80 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 4 T^{2} + 3238 T^{4} - 6724 T^{6} + 2825761 T^{8} )^{4}$$)($$( 1 - 272 T^{2} + 34236 T^{4} - 2596336 T^{6} + 129652166 T^{8} - 4364440816 T^{10} + 96742753596 T^{12} - 1292028353552 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 - 64 T^{2} + 2464 T^{4} - 107584 T^{6} + 2825761 T^{8} )^{4}$$)($$( 1 - 41 T^{2} )^{4}$$)($$( 1 + 96 T^{2} + 4608 T^{4} + 161376 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 144 T^{2} + 8448 T^{4} - 242064 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 144 T^{2} + 8448 T^{4} - 242064 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 41 T^{2} )^{8}$$)($$( 1 - 96 T^{2} + 4608 T^{4} - 161376 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 102 T^{2} + 6783 T^{4} - 298852 T^{6} + 11402223 T^{8} - 288227622 T^{10} + 4750104241 T^{12} )^{2}$$)($$( 1 - 112 T^{2} + 5920 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{4}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 + 6 T + 41 T^{2} )^{4}$$)($$( 1 - 6 T + 41 T^{2} )^{4}$$)($$( 1 + 8 T + 30 T^{2} + 328 T^{3} + 1681 T^{4} )^{4}$$)($$( 1 - 8 T + 30 T^{2} - 328 T^{3} + 1681 T^{4} )^{4}$$)($$( 1 + 41 T^{2} )^{8}$$)($$( 1 - 2 T + 83 T^{2} - 80 T^{3} + 3403 T^{4} - 3362 T^{5} + 68921 T^{6} )^{4}$$)
$43$ ($$1 - 12 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 12 T + 43 T^{2}$$)($$1 + 43 T^{2}$$)($$1 + 43 T^{2}$$)($$1 + 43 T^{2}$$)($$1 + 12 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 - 12 T + 43 T^{2}$$)($$1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4}$$)($$1 + 4 T + 70 T^{2} + 172 T^{3} + 1849 T^{4}$$)($$1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4}$$)($$1 - 26 T^{2} + 1849 T^{4}$$)($$1 + 38 T^{2} + 1849 T^{4}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 6 T + 43 T^{2} )^{2}$$)($$( 1 - 6 T + 43 T^{2} )^{2}$$)($$1 + 38 T^{2} + 1849 T^{4}$$)($$1 - 26 T^{2} + 1849 T^{4}$$)($$1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4}$$)($$1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4}$$)($$1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4}$$)($$( 1 + 66 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} )$$)($$( 1 - 12 T + 43 T^{2} )( 1 + 12 T + 43 T^{2} )$$)($$( 1 - 43 T^{2} )^{4}$$)($$1 - 152 T^{2} + 9406 T^{4} - 281048 T^{6} + 3418801 T^{8}$$)($$1 - 94 T^{2} + 3543 T^{4} - 112068 T^{6} + 6551007 T^{8} - 321367294 T^{10} + 6321363049 T^{12}$$)($$1 - 94 T^{2} + 3543 T^{4} - 112068 T^{6} + 6551007 T^{8} - 321367294 T^{10} + 6321363049 T^{12}$$)($$( 1 - 150 T^{2} + 12279 T^{4} - 647764 T^{6} + 22703871 T^{8} - 512820150 T^{10} + 6321363049 T^{12} )^{2}$$)($$( 1 + 12 T + 72 T^{2} + 516 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 12 T + 72 T^{2} - 516 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 12 T + 114 T^{2} - 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 + 8 T + 100 T^{2} + 344 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 + 43 T^{2} )^{12}$$)($$( 1 - 40 T^{2} + 3586 T^{4} - 73960 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 152 T^{2} + 8604 T^{4} - 204136 T^{6} + 3083174 T^{8} - 377447464 T^{10} + 29415363804 T^{12} - 960847183448 T^{14} + 11688200277601 T^{16} )^{2}$$)($$( 1 - 212 T^{2} + 22520 T^{4} - 1575548 T^{6} + 79141710 T^{8} - 2913188252 T^{10} + 76991398520 T^{12} - 1340128966388 T^{14} + 11688200277601 T^{16} )^{2}$$)($$( 1 - 12 T + 43 T^{2} )^{2}$$)($$( 1 + 4 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 + 12 T + 43 T^{2} )^{2}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 43 T^{2} )^{2}$$)($$( 1 + 12 T + 43 T^{2} )^{2}$$)($$( 1 + 4 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 - 12 T + 43 T^{2} )^{2}$$)($$( 1 + 4 T + 70 T^{2} + 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 26 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 6 T + 43 T^{2} )^{4}$$)($$( 1 + 6 T + 43 T^{2} )^{4}$$)($$( 1 + 43 T^{2} )^{4}$$)($$( 1 + 43 T^{2} )^{4}$$)($$( 1 + 38 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 4 T + 70 T^{2} + 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 66 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 100 T^{2} + 5686 T^{4} - 184900 T^{6} + 3418801 T^{8} )^{4}$$)($$( 1 - 152 T^{2} + 8604 T^{4} - 204136 T^{6} + 3083174 T^{8} - 377447464 T^{10} + 29415363804 T^{12} - 960847183448 T^{14} + 11688200277601 T^{16} )^{2}$$)($$( 1 - 40 T^{2} + 3586 T^{4} - 73960 T^{6} + 3418801 T^{8} )^{4}$$)($$( 1 + 12 T + 43 T^{2} )^{4}$$)($$( 1 - 12 T + 72 T^{2} - 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 - 12 T + 114 T^{2} - 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 - 12 T + 114 T^{2} - 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 - 6 T + 43 T^{2} )^{8}$$)($$( 1 + 12 T + 72 T^{2} + 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 + 43 T^{2} )^{12}$$)($$( 1 + 8 T + 100 T^{2} + 344 T^{3} + 1849 T^{4} )^{8}$$)($$( 1 - 12 T + 43 T^{2} )^{2}( 1 + 12 T + 43 T^{2} )^{2}$$)($$( 1 - 10 T + 43 T^{2} )^{2}( 1 + 10 T + 43 T^{2} )^{2}$$)($$( 1 - 10 T + 43 T^{2} )^{2}( 1 + 10 T + 43 T^{2} )^{2}$$)($$( 1 - 152 T^{2} + 9406 T^{4} - 281048 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 152 T^{2} + 9406 T^{4} - 281048 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 43 T^{2} )^{8}$$)($$( 1 - 94 T^{2} + 3543 T^{4} - 112068 T^{6} + 6551007 T^{8} - 321367294 T^{10} + 6321363049 T^{12} )^{2}$$)
$47$ ($$1 - 12 T + 47 T^{2}$$)($$1 - 4 T + 47 T^{2}$$)($$1 - 12 T + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 + 4 T + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 + 18 T + 173 T^{2} + 846 T^{3} + 2209 T^{4}$$)($$1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4}$$)($$1 + 18 T + 173 T^{2} + 846 T^{3} + 2209 T^{4}$$)($$1 + 87 T^{2} + 2209 T^{4}$$)($$1 + 19 T^{2} + 2209 T^{4}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 47 T^{2} )^{2}$$)($$1 + 86 T^{2} + 2209 T^{4}$$)($$1 + 86 T^{2} + 2209 T^{4}$$)($$1 + 19 T^{2} + 2209 T^{4}$$)($$1 + 87 T^{2} + 2209 T^{4}$$)($$1 - 18 T + 173 T^{2} - 846 T^{3} + 2209 T^{4}$$)($$1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4}$$)($$1 - 18 T + 173 T^{2} - 846 T^{3} + 2209 T^{4}$$)($$( 1 + 54 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 15 T + 168 T^{2} + 1221 T^{3} + 7896 T^{4} + 33135 T^{5} + 103823 T^{6} )^{2}$$)($$( 1 - 15 T + 168 T^{2} - 1221 T^{3} + 7896 T^{4} - 33135 T^{5} + 103823 T^{6} )^{2}$$)($$( 1 + 26 T^{2} + 1391 T^{4} + 190764 T^{6} + 3072719 T^{8} + 126871706 T^{10} + 10779215329 T^{12} )^{2}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 - 4 T^{2} - 186 T^{4} - 8836 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 92 T^{2} + 6406 T^{4} + 203228 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 159 T^{2} + 12150 T^{4} + 644743 T^{6} + 26839350 T^{8} + 775869279 T^{10} + 10779215329 T^{12} )^{2}$$)($$( 1 - 84 T^{2} + 4614 T^{4} - 185556 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 200 T^{2} + 21066 T^{4} + 1537600 T^{6} + 83332619 T^{8} + 3396558400 T^{10} + 102795359946 T^{12} + 2155843065800 T^{14} + 23811286661761 T^{16} )^{2}$$)($$( 1 + 296 T^{2} + 41372 T^{4} + 3533848 T^{6} + 201169606 T^{8} + 7806270232 T^{10} + 201882162332 T^{12} + 3190647737384 T^{14} + 23811286661761 T^{16} )^{2}$$)($$1 - 12 T + 97 T^{2} - 564 T^{3} + 2209 T^{4}$$)($$1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4}$$)($$1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4}$$)($$1 - 12 T + 97 T^{2} - 564 T^{3} + 2209 T^{4}$$)($$1 - 47 T^{2} + 2209 T^{4}$$)($$1 - 47 T^{2} + 2209 T^{4}$$)($$1 - 47 T^{2} + 2209 T^{4}$$)($$1 - 47 T^{2} + 2209 T^{4}$$)($$1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4}$$)($$1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4}$$)($$1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4}$$)($$1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4}$$)($$1 - 12 T + 34 T^{2} - 192 T^{3} + 3123 T^{4} - 9024 T^{5} + 75106 T^{6} - 1245876 T^{7} + 4879681 T^{8}$$)($$1 - 12 T + 34 T^{2} - 192 T^{3} + 3123 T^{4} - 9024 T^{5} + 75106 T^{6} - 1245876 T^{7} + 4879681 T^{8}$$)($$1 + 18 T + 151 T^{2} + 1422 T^{3} + 12492 T^{4} + 66834 T^{5} + 333559 T^{6} + 1868814 T^{7} + 4879681 T^{8}$$)($$1 - 87 T^{2} + 5360 T^{4} - 192183 T^{6} + 4879681 T^{8}$$)($$1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8}$$)($$1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$1 - 19 T^{2} - 1848 T^{4} - 41971 T^{6} + 4879681 T^{8}$$)($$1 + 12 T + 34 T^{2} + 192 T^{3} + 3123 T^{4} + 9024 T^{5} + 75106 T^{6} + 1245876 T^{7} + 4879681 T^{8}$$)($$1 + 12 T + 34 T^{2} + 192 T^{3} + 3123 T^{4} + 9024 T^{5} + 75106 T^{6} + 1245876 T^{7} + 4879681 T^{8}$$)($$1 - 18 T + 151 T^{2} - 1422 T^{3} + 12492 T^{4} - 66834 T^{5} + 333559 T^{6} - 1868814 T^{7} + 4879681 T^{8}$$)($$( 1 - 54 T^{2} + 707 T^{4} - 119286 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 124 T^{2} + 7626 T^{4} - 413168 T^{6} + 21217235 T^{8} - 912688112 T^{10} + 37212447306 T^{12} - 1336622700796 T^{14} + 23811286661761 T^{16} )^{2}$$)($$1 - 200 T^{2} + 18934 T^{4} - 1138000 T^{6} + 52923737 T^{8} - 2454592400 T^{10} + 135007848038 T^{12} - 7743351520600 T^{14} + 394816080594964 T^{16} - 17105063509005400 T^{18} + 658795230921915878 T^{20} - 26458580024526899600 T^{22} +$$$$12\!\cdots\!57$$$$T^{24} -$$$$59\!\cdots\!00$$$$T^{26} +$$$$21\!\cdots\!94$$$$T^{28} -$$$$51\!\cdots\!00$$$$T^{30} +$$$$56\!\cdots\!21$$$$T^{32}$$)($$( 1 + 84 T^{2} + 2442 T^{4} + 16464 T^{6} + 822611 T^{8} + 36368976 T^{10} + 11916181002 T^{12} + 905454087636 T^{14} + 23811286661761 T^{16} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{4}$$)($$1 + 4 T^{2} + 202 T^{4} - 18416 T^{6} - 4880429 T^{8} - 40680944 T^{10} + 985695562 T^{12} + 43116861316 T^{14} + 23811286661761 T^{16}$$)($$1 + 4 T^{2} + 202 T^{4} - 18416 T^{6} - 4880429 T^{8} - 40680944 T^{10} + 985695562 T^{12} + 43116861316 T^{14} + 23811286661761 T^{16}$$)($$( 1 - 70 T^{2} + 2691 T^{4} - 154630 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{4}$$)($$1 - 159 T^{2} + 13131 T^{4} - 642364 T^{6} + 18269013 T^{8} - 74583429 T^{10} - 12209351154 T^{12} - 164754794661 T^{14} + 89146955624853 T^{16} - 6924179875597756 T^{18} + 312666005155583691 T^{20} - 8363262025496977791 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$( 1 - 92 T^{2} + 2058 T^{4} - 182896 T^{6} + 17460179 T^{8} - 404017264 T^{10} + 10042383498 T^{12} - 991687810268 T^{14} + 23811286661761 T^{16} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{4}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{4}$$)($$( 1 - 47 T^{2} + 2209 T^{4} )^{4}$$)($$( 1 - 15 T + 57 T^{2} - 78 T^{3} + 2013 T^{4} - 1383 T^{5} - 125066 T^{6} - 65001 T^{7} + 4446717 T^{8} - 8098194 T^{9} + 278141817 T^{10} - 3440175105 T^{11} + 10779215329 T^{12} )^{2}$$)
$53$ ($$1 - 6 T + 53 T^{2}$$)($$1 + 2 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 14 T + 53 T^{2}$$)($$1 - 14 T + 53 T^{2}$$)($$1 - 14 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 + 2 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 + 10 T + 53 T^{2} )^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 - 7 T + 53 T^{2} )^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 + 14 T + 53 T^{2} )^{2}$$)($$( 1 + 14 T + 53 T^{2} )^{2}$$)($$( 1 - 6 T + 53 T^{2} )^{2}$$)($$( 1 - 6 T + 53 T^{2} )^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 - 7 T + 53 T^{2} )^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 + 10 T + 53 T^{2} )^{2}$$)($$( 1 + T + 53 T^{2} )^{2}$$)($$( 1 - 6 T + 53 T^{2} )^{4}$$)($$1 - 74 T^{2} + 2809 T^{4}$$)($$( 1 - 10 T + 53 T^{2} )( 1 + 10 T + 53 T^{2} )$$)($$( 1 - 53 T^{2} )^{4}$$)($$1 - 132 T^{2} + 8886 T^{4} - 370788 T^{6} + 7890481 T^{8}$$)($$1 - 161 T^{2} + 13750 T^{4} - 824709 T^{6} + 38623750 T^{8} - 1270367441 T^{10} + 22164361129 T^{12}$$)($$1 - 161 T^{2} + 13750 T^{4} - 824709 T^{6} + 38623750 T^{8} - 1270367441 T^{10} + 22164361129 T^{12}$$)($$( 1 - 142 T^{2} + 11991 T^{4} - 705508 T^{6} + 33682719 T^{8} - 1120448302 T^{10} + 22164361129 T^{12} )^{2}$$)($$( 1 - 53 T^{2} )^{4}$$)($$( 1 - 53 T^{2} )^{4}$$)($$( 1 - 94 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 - 100 T^{2} + 6070 T^{4} - 280900 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 - 105 T^{2} + 11718 T^{4} - 620349 T^{6} + 32915862 T^{8} - 828500505 T^{10} + 22164361129 T^{12} )^{2}$$)($$( 1 - 12 T + 134 T^{2} - 636 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 - 4 T + 122 T^{2} - 736 T^{3} + 7363 T^{4} - 39008 T^{5} + 342698 T^{6} - 595508 T^{7} + 7890481 T^{8} )^{4}$$)($$( 1 + 12 T + 128 T^{2} + 788 T^{3} + 6350 T^{4} + 41764 T^{5} + 359552 T^{6} + 1786524 T^{7} + 7890481 T^{8} )^{4}$$)($$1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4}$$)($$1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4}$$)($$1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4}$$)($$1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4}$$)($$1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4}$$)($$1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4}$$)($$1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4}$$)($$1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 7 T - 4 T^{2} + 371 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} )^{8}$$)($$( 1 + 4 T - 106 T^{2} - 984 T^{3} + 4577 T^{4} + 69896 T^{5} + 172774 T^{6} - 2132484 T^{7} - 19431692 T^{8} - 113021652 T^{9} + 485322166 T^{10} + 10405906792 T^{11} + 36114731537 T^{12} - 411504365112 T^{13} - 2349422279674 T^{14} + 4698844559348 T^{15} + 62259690411361 T^{16} )^{2}$$)($$( 1 + 12 T + 10 T^{2} + 336 T^{3} + 7515 T^{4} + 17808 T^{5} + 28090 T^{6} + 1786524 T^{7} + 7890481 T^{8} )^{4}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} )$$)($$( 1 + 53 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 + 6 T + 65 T^{2} + 318 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 - 6 T + 65 T^{2} - 318 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} )^{2}( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 53 T^{2} + 2809 T^{4} )^{4}$$)($$1 + 105 T^{2} - 693 T^{4} - 10308 T^{6} + 39259017 T^{8} + 1185419067 T^{10} - 43539019882 T^{12} + 3329842159203 T^{14} + 309772527717177 T^{16} - 228470234517732 T^{18} - 43145965455073173 T^{20} + 18363184388378870145 T^{22} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$( 1 + 100 T^{2} + 3930 T^{4} + 45200 T^{6} + 864419 T^{8} + 126966800 T^{10} + 31009590330 T^{12} + 2216436112900 T^{14} + 62259690411361 T^{16} )^{2}$$)($$( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} )$$)($$1 + 74 T^{2} + 2667 T^{4} + 207866 T^{6} + 7890481 T^{8}$$)($$1 + 74 T^{2} + 2667 T^{4} + 207866 T^{6} + 7890481 T^{8}$$)($$1 + 132 T^{2} + 8538 T^{4} + 431376 T^{6} + 22126499 T^{8} + 1211735184 T^{10} + 67368926778 T^{12} + 2925695669028 T^{14} + 62259690411361 T^{16}$$)($$1 + 132 T^{2} + 8538 T^{4} + 431376 T^{6} + 22126499 T^{8} + 1211735184 T^{10} + 67368926778 T^{12} + 2925695669028 T^{14} + 62259690411361 T^{16}$$)($$( 1 + 53 T^{2} + 2809 T^{4} )^{4}$$)($$1 + 161 T^{2} + 12171 T^{4} + 564332 T^{6} + 17660601 T^{8} + 173268691 T^{10} - 11132063562 T^{12} + 486711753019 T^{14} + 139350636639081 T^{16} + 12508058244650828 T^{18} + 757762691996674731 T^{20} + 28156882728847600889 T^{22} +$$$$49\!\cdots\!41$$$$T^{24}$$)
$59$ ($$1 + 6 T + 59 T^{2}$$)($$1 - 10 T + 59 T^{2}$$)($$1 + 6 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 - 6 T + 59 T^{2}$$)($$1 + 10 T + 59 T^{2}$$)($$1 - 6 T + 59 T^{2}$$)($$1 + 2 T + 21 T^{2} + 118 T^{3} + 3481 T^{4}$$)($$1 + 14 T + 162 T^{2} + 826 T^{3} + 3481 T^{4}$$)($$1 + 2 T + 21 T^{2} + 118 T^{3} + 3481 T^{4}$$)($$1 + 111 T^{2} + 3481 T^{4}$$)($$1 + 115 T^{2} + 3481 T^{4}$$)($$( 1 + 59 T^{2} )^{2}$$)($$( 1 + 59 T^{2} )^{2}$$)($$1 - 44 T^{2} + 3481 T^{4}$$)($$1 - 44 T^{2} + 3481 T^{4}$$)($$1 + 115 T^{2} + 3481 T^{4}$$)($$1 + 111 T^{2} + 3481 T^{4}$$)($$1 - 2 T + 21 T^{2} - 118 T^{3} + 3481 T^{4}$$)($$1 - 14 T + 162 T^{2} - 826 T^{3} + 3481 T^{4}$$)($$1 - 2 T + 21 T^{2} - 118 T^{3} + 3481 T^{4}$$)($$( 1 + 108 T^{2} + 3481 T^{4} )^{2}$$)($$1 - 116 T^{2} + 3481 T^{4}$$)($$( 1 - 59 T^{2} )^{2}$$)($$1 + 1130 T^{4} + 12117361 T^{8}$$)($$1 - 178 T^{2} + 14050 T^{4} - 619618 T^{6} + 12117361 T^{8}$$)($$1 - 177 T^{2} + 14590 T^{4} - 874057 T^{6} + 50787790 T^{8} - 2144772897 T^{10} + 42180533641 T^{12}$$)($$1 - 177 T^{2} + 14590 T^{4} - 874057 T^{6} + 50787790 T^{8} - 2144772897 T^{10} + 42180533641 T^{12}$$)($$( 1 - 174 T^{2} + 16023 T^{4} - 1062236 T^{6} + 55776063 T^{8} - 2108420814 T^{10} + 42180533641 T^{12} )^{2}$$)($$1 + 120 T^{2} + 7200 T^{4} + 417720 T^{6} + 12117361 T^{8}$$)($$1 - 120 T^{2} + 7200 T^{4} - 417720 T^{6} + 12117361 T^{8}$$)($$( 1 - 228 T^{2} + 19950 T^{4} - 793668 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 120 T^{2} + 7200 T^{4} - 417720 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 177 T^{2} + 19530 T^{4} - 1349461 T^{6} + 67983930 T^{8} - 2144772897 T^{10} + 42180533641 T^{12} )^{2}$$)($$( 1 - 8 T^{2} + 2176 T^{4} - 27848 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 216 T^{2} + 21354 T^{4} + 1317792 T^{6} + 71530763 T^{8} + 4587233952 T^{10} + 258754126794 T^{12} + 9110995266456 T^{14} + 146830437604321 T^{16} )^{2}$$)($$( 1 + 244 T^{2} + 32918 T^{4} + 3053764 T^{6} + 207159522 T^{8} + 10630152484 T^{10} + 398879289398 T^{12} + 10292050208404 T^{14} + 146830437604321 T^{16} )^{2}$$)($$1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4}$$)($$1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4}$$)($$1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4}$$)($$1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4}$$)($$1 - 59 T^{2} + 3481 T^{4}$$)($$1 - 59 T^{2} + 3481 T^{4}$$)($$1 - 59 T^{2} + 3481 T^{4}$$)($$1 - 59 T^{2} + 3481 T^{4}$$)($$1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4}$$)($$1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4}$$)($$1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4}$$)($$1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4}$$)($$1 + 14 T + 34 T^{2} + 616 T^{3} + 11199 T^{4} + 36344 T^{5} + 118354 T^{6} + 2875306 T^{7} + 12117361 T^{8}$$)($$1 + 14 T + 34 T^{2} + 616 T^{3} + 11199 T^{4} + 36344 T^{5} + 118354 T^{6} + 2875306 T^{7} + 12117361 T^{8}$$)($$1 + 2 T - 17 T^{2} - 194 T^{3} - 3276 T^{4} - 11446 T^{5} - 59177 T^{6} + 410758 T^{7} + 12117361 T^{8}$$)($$1 - 111 T^{2} + 8840 T^{4} - 386391 T^{6} + 12117361 T^{8}$$)($$1 + 44 T^{2} - 1545 T^{4} + 153164 T^{6} + 12117361 T^{8}$$)($$1 + 44 T^{2} - 1545 T^{4} + 153164 T^{6} + 12117361 T^{8}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{2}$$)($$1 - 115 T^{2} + 9744 T^{4} - 400315 T^{6} + 12117361 T^{8}$$)($$1 - 14 T + 34 T^{2} - 616 T^{3} + 11199 T^{4} - 36344 T^{5} + 118354 T^{6} - 2875306 T^{7} + 12117361 T^{8}$$)($$1 - 14 T + 34 T^{2} - 616 T^{3} + 11199 T^{4} - 36344 T^{5} + 118354 T^{6} - 2875306 T^{7} + 12117361 T^{8}$$)($$1 - 2 T - 17 T^{2} + 194 T^{3} - 3276 T^{4} + 11446 T^{5} - 59177 T^{6} - 410758 T^{7} + 12117361 T^{8}$$)($$( 1 - 108 T^{2} + 8183 T^{4} - 375948 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 132 T^{2} + 6498 T^{4} - 523248 T^{6} + 46607171 T^{8} - 1821426288 T^{10} + 78738611778 T^{12} - 5567830440612 T^{14} + 146830437604321 T^{16} )^{2}$$)($$1 - 216 T^{2} + 25302 T^{4} - 1976880 T^{6} + 99819481 T^{8} - 1826074704 T^{10} - 264226437882 T^{12} + 36647033732760 T^{14} - 2664686254766220 T^{16} + 127568324423737560 T^{18} - 3201727133560269402 T^{20} - 77024805483051117264 T^{22} +$$$$14\!\cdots\!01$$$$T^{24} -$$$$10\!\cdots\!80$$$$T^{26} +$$$$45\!\cdots\!62$$$$T^{28} -$$$$13\!\cdots\!76$$$$T^{30} +$$$$21\!\cdots\!41$$$$T^{32}$$)($$( 1 + 8 T^{2} - 2112 T^{4} - 38288 T^{6} - 7605169 T^{8} - 133280528 T^{10} - 25591866432 T^{12} + 337444269128 T^{14} + 146830437604321 T^{16} )^{2}$$)($$( 1 + 59 T^{2} + 3481 T^{4} )^{2}$$)($$1 + 120 T^{2} + 7200 T^{4} + 28560 T^{6} - 10403761 T^{8} + 99417360 T^{10} + 87244999200 T^{12} + 5061664036920 T^{14} + 146830437604321 T^{16}$$)($$1 + 228 T^{2} + 32034 T^{4} + 2961264 T^{6} + 204928835 T^{8} + 10308159984 T^{10} + 388167542274 T^{12} + 9617161670148 T^{14} + 146830437604321 T^{16}$$)($$1 + 228 T^{2} + 32034 T^{4} + 2961264 T^{6} + 204928835 T^{8} + 10308159984 T^{10} + 388167542274 T^{12} + 9617161670148 T^{14} + 146830437604321 T^{16}$$)($$( 1 + 112 T^{2} + 9063 T^{4} + 389872 T^{6} + 12117361 T^{8} )^{2}$$)($$1 - 120 T^{2} + 7200 T^{4} - 28560 T^{6} - 10403761 T^{8} - 99417360 T^{10} + 87244999200 T^{12} - 5061664036920 T^{14} + 146830437604321 T^{16}$$)($$( 1 - 21 T + 309 T^{2} - 3402 T^{3} + 29601 T^{4} - 225789 T^{5} + 1760606 T^{6} - 13321551 T^{7} + 103041081 T^{8} - 698699358 T^{9} + 3744264549 T^{10} - 15013410279 T^{11} + 42180533641 T^{12} )^{2}$$)($$( 1 + 120 T^{2} + 7200 T^{4} + 28560 T^{6} - 10403761 T^{8} + 99417360 T^{10} + 87244999200 T^{12} + 5061664036920 T^{14} + 146830437604321 T^{16} )^{2}$$)($$( 1 + 59 T^{2} + 3481 T^{4} )^{2}$$)($$1 + 116 T^{2} + 9975 T^{4} + 403796 T^{6} + 12117361 T^{8}$$)($$1 + 116 T^{2} + 9975 T^{4} + 403796 T^{6} + 12117361 T^{8}$$)($$1 + 178 T^{2} + 17634 T^{4} + 1261664 T^{6} + 74993135 T^{8} + 4391852384 T^{10} + 213677543874 T^{12} + 7508134988098 T^{14} + 146830437604321 T^{16}$$)($$1 + 178 T^{2} + 17634 T^{4} + 1261664 T^{6} + 74993135 T^{8} + 4391852384 T^{10} + 213677543874 T^{12} + 7508134988098 T^{14} + 146830437604321 T^{16}$$)($$1 - 1130 T^{4} - 10840461 T^{8} - 13692617930 T^{12} + 146830437604321 T^{16}$$)($$1 + 177 T^{2} + 16739 T^{4} + 834316 T^{6} + 7372221 T^{8} - 3081613133 T^{10} - 272281952338 T^{12} - 10727095315973 T^{14} + 89331863228781 T^{16} + 35191894105224556 T^{18} + 2457794695058729219 T^{20} + 90467665334213527977 T^{22} +$$$$17\!\cdots\!81$$$$T^{24}$$)
$61$ ($$1 - 6 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 + 6 T + 61 T^{2}$$)($$1 - 12 T + 61 T^{2}$$)($$1 - 10 T + 61 T^{2}$$)($$1 + 12 T + 61 T^{2}$$)($$1 - 6 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 + 6 T + 61 T^{2}$$)($$1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 + 18 T + 198 T^{2} + 1098 T^{3} + 3721 T^{4}$$)($$1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4}$$)($$( 1 + 5 T + 61 T^{2} )^{2}$$)($$( 1 + 11 T + 61 T^{2} )^{2}$$)($$1 - 120 T^{2} + 3721 T^{4}$$)($$1 + 120 T^{2} + 3721 T^{4}$$)($$1 + 90 T^{2} + 3721 T^{4}$$)($$1 + 90 T^{2} + 3721 T^{4}$$)($$( 1 - 11 T + 61 T^{2} )^{2}$$)($$( 1 - 5 T + 61 T^{2} )^{2}$$)($$1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 + 18 T + 198 T^{2} + 1098 T^{3} + 3721 T^{4}$$)($$1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4}$$)($$( 1 + 50 T^{2} + 3721 T^{4} )^{2}$$)($$1 + 40 T^{2} + 3721 T^{4}$$)($$( 1 - 61 T^{2} )^{2}$$)($$1 + 7370 T^{4} + 13845841 T^{8}$$)($$1 - 230 T^{2} + 20650 T^{4} - 855830 T^{6} + 13845841 T^{8}$$)($$1 - 73 T^{2} + 9270 T^{4} - 398973 T^{6} + 34493670 T^{8} - 1010746393 T^{10} + 51520374361 T^{12}$$)($$1 - 73 T^{2} + 9270 T^{4} - 398973 T^{6} + 34493670 T^{8} - 1010746393 T^{10} + 51520374361 T^{12}$$)($$( 1 - 348 T^{2} + 51515 T^{4} - 4148848 T^{6} + 191687315 T^{8} - 4818352668 T^{10} + 51520374361 T^{12} )^{2}$$)($$( 1 + 61 T^{2} )^{4}$$)($$( 1 + 61 T^{2} )^{4}$$)($$( 1 + 136 T^{2} + 10608 T^{4} + 506056 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 + 188 T^{2} + 15630 T^{4} + 699548 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 + 159 T^{2} + 17862 T^{4} + 1244027 T^{6} + 66464502 T^{8} + 2201488719 T^{10} + 51520374361 T^{12} )^{2}$$)($$( 1 - 12 T^{2} - 5970 T^{4} - 44652 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 - 220 T^{2} + 29226 T^{4} - 2682512 T^{6} + 186790931 T^{8} - 9981627152 T^{10} + 404658549066 T^{12} - 11334482359420 T^{14} + 191707312997281 T^{16} )^{2}$$)($$( 1 - 332 T^{2} + 52382 T^{4} - 5247788 T^{6} + 373453890 T^{8} - 19527019148 T^{10} + 725272843262 T^{12} - 17104764287852 T^{14} + 191707312997281 T^{16} )^{2}$$)($$1 - 6 T - 25 T^{2} - 366 T^{3} + 3721 T^{4}$$)($$1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4}$$)($$1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4}$$)($$1 + 6 T - 25 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 - 12 T + 83 T^{2} - 732 T^{3} + 3721 T^{4}$$)($$1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4}$$)($$1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4}$$)($$1 + 12 T + 83 T^{2} + 732 T^{3} + 3721 T^{4}$$)($$1 - 6 T - 25 T^{2} - 366 T^{3} + 3721 T^{4}$$)($$1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4}$$)($$1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4}$$)($$1 + 6 T - 25 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 + 18 T + 126 T^{2} + 1368 T^{3} + 15719 T^{4} + 83448 T^{5} + 468846 T^{6} + 4085658 T^{7} + 13845841 T^{8}$$)($$1 - 18 T + 126 T^{2} - 1368 T^{3} + 15719 T^{4} - 83448 T^{5} + 468846 T^{6} - 4085658 T^{7} + 13845841 T^{8}$$)($$1 - 6 T - 63 T^{2} + 138 T^{3} + 3884 T^{4} + 8418 T^{5} - 234423 T^{6} - 1361886 T^{7} + 13845841 T^{8}$$)($$( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} )^{2}$$)($$1 - 90 T^{2} + 4379 T^{4} - 334890 T^{6} + 13845841 T^{8}$$)($$1 - 90 T^{2} + 4379 T^{4} - 334890 T^{6} + 13845841 T^{8}$$)($$1 - 120 T^{2} + 10679 T^{4} - 446520 T^{6} + 13845841 T^{8}$$)($$1 + 120 T^{2} + 10679 T^{4} + 446520 T^{6} + 13845841 T^{8}$$)($$( 1 - 11 T + 60 T^{2} - 671 T^{3} + 3721 T^{4} )^{2}$$)($$1 + 18 T + 126 T^{2} + 1368 T^{3} + 15719 T^{4} + 83448 T^{5} + 468846 T^{6} + 4085658 T^{7} + 13845841 T^{8}$$)($$1 - 18 T + 126 T^{2} - 1368 T^{3} + 15719 T^{4} - 83448 T^{5} + 468846 T^{6} - 4085658 T^{7} + 13845841 T^{8}$$)($$1 - 6 T - 63 T^{2} + 138 T^{3} + 3884 T^{4} + 8418 T^{5} - 234423 T^{6} - 1361886 T^{7} + 13845841 T^{8}$$)($$( 1 - 50 T^{2} - 1221 T^{4} - 186050 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 + 236 T^{2} + 34338 T^{4} + 3284176 T^{6} + 235073507 T^{8} + 12220418896 T^{10} + 475438488258 T^{12} + 12158808349196 T^{14} + 191707312997281 T^{16} )^{2}$$)($$( 1 - 12 T + 182 T^{2} - 1608 T^{3} + 12321 T^{4} - 99864 T^{5} + 781126 T^{6} - 6487236 T^{7} + 58967444 T^{8} - 395721396 T^{9} + 2906569846 T^{10} - 22667230584 T^{11} + 170594606961 T^{12} - 1358110852008 T^{13} + 9376708133702 T^{14} - 37712914032252 T^{15} + 191707312997281 T^{16} )^{2}$$)($$( 1 + 12 T^{2} + 6114 T^{4} - 160944 T^{6} + 21259235 T^{8} - 598872624 T^{10} + 84653471874 T^{12} + 618244492332 T^{14} + 191707312997281 T^{16} )^{2}$$)($$( 1 - 61 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 - 61 T^{2} + 3721 T^{4} )^{4}$$)($$1 - 136 T^{2} + 7888 T^{4} - 430576 T^{6} + 29860207 T^{8} - 1602173296 T^{10} + 109215993808 T^{12} - 7006770913096 T^{14} + 191707312997281 T^{16}$$)($$1 - 136 T^{2} + 7888 T^{4} - 430576 T^{6} + 29860207 T^{8} - 1602173296 T^{10} + 109215993808 T^{12} - 7006770913096 T^{14} + 191707312997281 T^{16}$$)($$( 1 - 68 T^{2} + 903 T^{4} - 253028 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 - 61 T^{2} + 3721 T^{4} )^{4}$$)($$1 - 159 T^{2} + 7419 T^{4} - 352004 T^{6} + 54786249 T^{8} - 3286587357 T^{10} + 113418284406 T^{12} - 12229391555397 T^{14} + 758561692640409 T^{16} - 18135377856569444 T^{18} + 1422276555126827739 T^{20} -$$$$11\!\cdots\!59$$$$T^{22} +$$$$26\!\cdots\!21$$$$T^{24}$$)($$( 1 - 188 T^{2} + 19714 T^{4} - 1539344 T^{6} + 98936035 T^{8} - 5727899024 T^{10} + 272956909474 T^{12} - 9685830379868 T^{14} + 191707312997281 T^{16} )^{2}$$)($$( 1 + 61 T^{2} + 3721 T^{4} )^{2}$$)($$1 - 40 T^{2} - 2121 T^{4} - 148840 T^{6} + 13845841 T^{8}$$)($$1 - 40 T^{2} - 2121 T^{4} - 148840 T^{6} + 13845841 T^{8}$$)($$1 + 230 T^{2} + 32250 T^{4} + 3037840 T^{6} + 215735759 T^{8} + 11303802640 T^{10} + 446528372250 T^{12} + 11849686103030 T^{14} + 191707312997281 T^{16}$$)($$1 + 230 T^{2} + 32250 T^{4} + 3037840 T^{6} + 215735759 T^{8} + 11303802640 T^{10} + 446528372250 T^{12} + 11849686103030 T^{14} + 191707312997281 T^{16}$$)($$1 - 7370 T^{4} + 40471059 T^{8} - 102043848170 T^{12} + 191707312997281 T^{16}$$)($$1 + 73 T^{2} - 3941 T^{4} - 121236 T^{6} + 22314201 T^{8} - 326849717 T^{10} - 131320604138 T^{12} - 1216207796957 T^{14} + 308958879088041 T^{16} - 6246124106030196 T^{18} - 755518520522284421 T^{20} + 52074032551390429873 T^{22} +$$$$26\!\cdots\!21$$$$T^{24}$$)
$67$ ($$1 - 12 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 + 12 T + 67 T^{2}$$)($$1 + 67 T^{2}$$)($$1 + 67 T^{2}$$)($$1 + 67 T^{2}$$)($$1 + 12 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 - 12 T + 67 T^{2}$$)($$1 + 14 T + 165 T^{2} + 938 T^{3} + 4489 T^{4}$$)($$( 1 + 4 T + 67 T^{2} )^{2}$$)($$1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4}$$)($$1 + 127 T^{2} + 4489 T^{4}$$)($$1 - 13 T^{2} + 4489 T^{4}$$)($$( 1 + 67 T^{2} )^{2}$$)($$( 1 + 67 T^{2} )^{2}$$)($$( 1 + 12 T + 67 T^{2} )^{2}$$)($$( 1 - 12 T + 67 T^{2} )^{2}$$)($$1 - 13 T^{2} + 4489 T^{4}$$)($$1 + 127 T^{2} + 4489 T^{4}$$)($$1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4}$$)($$( 1 - 4 T + 67 T^{2} )^{2}$$)($$1 + 14 T + 165 T^{2} + 938 T^{3} + 4489 T^{4}$$)($$( 1 + 67 T^{2} )^{4}$$)($$( 1 - 67 T^{2} )^{2}$$)($$( 1 - 4 T + 67 T^{2} )( 1 + 4 T + 67 T^{2} )$$)($$( 1 - 67 T^{2} )^{4}$$)($$1 + 112 T^{2} + 8782 T^{4} + 502768 T^{6} + 20151121 T^{8}$$)($$1 - 361 T^{2} + 56598 T^{4} - 4944537 T^{6} + 254068422 T^{8} - 7274554681 T^{10} + 90458382169 T^{12}$$)($$1 - 361 T^{2} + 56598 T^{4} - 4944537 T^{6} + 254068422 T^{8} - 7274554681 T^{10} + 90458382169 T^{12}$$)($$( 1 - 342 T^{2} + 51767 T^{4} - 4466804 T^{6} + 232382063 T^{8} - 6891683382 T^{10} + 90458382169 T^{12} )^{2}$$)($$( 1 + 62 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 62 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 12 T + 67 T^{2} )^{8}$$)($$( 1 - 2 T + 67 T^{2} )^{8}$$)($$( 1 - 15 T + 228 T^{2} - 1781 T^{3} + 15276 T^{4} - 67335 T^{5} + 300763 T^{6} )^{4}$$)($$( 1 - 172 T^{2} + 14326 T^{4} - 772108 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 248 T^{2} + 31290 T^{4} - 2902336 T^{6} + 216992219 T^{8} - 13028586304 T^{10} + 630528576090 T^{12} - 22433678777912 T^{14} + 406067677556641 T^{16} )^{2}$$)($$( 1 - 248 T^{2} + 34748 T^{4} - 3384328 T^{6} + 254602918 T^{8} - 15192248392 T^{10} + 700211152508 T^{12} - 22433678777912 T^{14} + 406067677556641 T^{16} )^{2}$$)($$1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4}$$)($$1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4}$$)($$1 - 8 T - 3 T^{2} - 536 T^{3} + 4489 T^{4}$$)($$1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4}$$)($$1 - 67 T^{2} + 4489 T^{4}$$)($$1 - 67 T^{2} + 4489 T^{4}$$)($$1 - 67 T^{2} + 4489 T^{4}$$)($$1 - 67 T^{2} + 4489 T^{4}$$)($$1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4}$$)($$1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4}$$)($$1 - 8 T - 3 T^{2} - 536 T^{3} + 4489 T^{4}$$)($$1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )^{2}$$)($$1 + 14 T + 31 T^{2} + 434 T^{3} + 9604 T^{4} + 29078 T^{5} + 139159 T^{6} + 4210682 T^{7} + 20151121 T^{8}$$)($$1 - 127 T^{2} + 11640 T^{4} - 570103 T^{6} + 20151121 T^{8}$$)($$( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 67 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 67 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 109 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} )$$)($$( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2}$$)($$1 - 14 T + 31 T^{2} - 434 T^{3} + 9604 T^{4} - 29078 T^{5} + 139159 T^{6} - 4210682 T^{7} + 20151121 T^{8}$$)($$( 1 - 67 T^{2} + 4489 T^{4} )^{4}$$)($$( 1 + 4 T^{2} + 3834 T^{4} - 51184 T^{6} - 5645821 T^{8} - 229764976 T^{10} + 77259397914 T^{12} + 361833528676 T^{14} + 406067677556641 T^{16} )^{2}$$)($$1 + 248 T^{2} + 30214 T^{4} + 1955248 T^{6} + 42292553 T^{8} - 3785460880 T^{10} - 336164526826 T^{12} - 6739836332504 T^{14} + 264085897769428 T^{16} - 30255125296610456 T^{18} - 6774092055978471946 T^{20} -$$$$34\!\cdots\!20$$$$T^{22} +$$$$17\!\cdots\!73$$$$T^{24} +$$$$35\!\cdots\!52$$$$T^{26} +$$$$24\!\cdots\!54$$$$T^{28} +$$$$91\!\cdots\!92$$$$T^{30} +$$$$16\!\cdots\!81$$$$T^{32}$$)($$( 1 + 172 T^{2} + 15258 T^{4} + 919856 T^{6} + 52280579 T^{8} + 4129233584 T^{10} + 307465804218 T^{12} + 15558841733068 T^{14} + 406067677556641 T^{16} )^{2}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} )^{4}$$)($$( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} )^{4}$$)($$( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} )^{4}$$)($$( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 + 15 T - 3 T^{2} - 142 T^{3} + 9993 T^{4} + 15123 T^{5} - 719466 T^{6} + 1013241 T^{7} + 44858577 T^{8} - 42708346 T^{9} - 60453363 T^{10} + 20251876605 T^{11} + 90458382169 T^{12} )^{2}$$)($$( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} )^{8}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )$$)($$( 1 + 67 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 67 T^{2} + 4489 T^{4} )^{2}$$)($$1 - 112 T^{2} + 3762 T^{4} + 21952 T^{6} + 662387 T^{8} + 98542528 T^{10} + 75808517202 T^{12} - 10131338802928 T^{14} + 406067677556641 T^{16}$$)($$1 - 112 T^{2} + 3762 T^{4} + 21952 T^{6} + 662387 T^{8} + 98542528 T^{10} + 75808517202 T^{12} - 10131338802928 T^{14} + 406067677556641 T^{16}$$)($$( 1 + 67 T^{2} + 4489 T^{4} )^{4}$$)($$1 + 361 T^{2} + 73723 T^{4} + 10542804 T^{6} + 1164287325 T^{8} + 103688059123 T^{10} + 7623484120510 T^{12} + 465455697403147 T^{14} + 23461694764841325 T^{16} + 953684993364861876 T^{18} + 29936527392508244443 T^{20} +$$$$65\!\cdots\!89$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)
$71$ ($$1 - 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4}$$)($$1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4}$$)($$1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4}$$)($$( 1 + 71 T^{2} )^{2}$$)($$1 - 50 T^{2} + 5041 T^{4}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 - 4 T + 71 T^{2} )^{2}$$)($$( 1 + 4 T + 71 T^{2} )^{2}$$)($$1 - 50 T^{2} + 5041 T^{4}$$)($$( 1 + 71 T^{2} )^{2}$$)($$1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4}$$)($$1 - 8 T + 78 T^{2} - 568 T^{3} + 5041 T^{4}$$)($$1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4}$$)($$( 1 + 62 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 - 16 T + 71 T^{2} )^{2}$$)($$( 1 + 110 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 8 T + 71 T^{2} )^{4}$$)($$( 1 + 8 T + 157 T^{2} + 704 T^{3} + 11147 T^{4} + 40328 T^{5} + 357911 T^{6} )^{2}$$)($$( 1 + 8 T + 157 T^{2} + 704 T^{3} + 11147 T^{4} + 40328 T^{5} + 357911 T^{6} )^{2}$$)($$( 1 + 12 T + 197 T^{2} + 1576 T^{3} + 13987 T^{4} + 60492 T^{5} + 357911 T^{6} )^{4}$$)($$( 1 - 71 T^{2} )^{4}$$)($$( 1 - 71 T^{2} )^{4}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 + 180 T^{2} + 17670 T^{4} + 907380 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 16 T + 71 T^{2} )^{6}( 1 + 16 T + 71 T^{2} )^{6}$$)($$( 1 - 188 T^{2} + 16870 T^{4} - 947708 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 248 T^{2} + 34492 T^{4} - 3463880 T^{6} + 277458886 T^{8} - 17461419080 T^{10} + 876499701052 T^{12} - 31768870412408 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 88 T^{2} + 10652 T^{4} - 859880 T^{6} + 78258694 T^{8} - 4334655080 T^{10} + 270685226012 T^{12} - 11272824985048 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 8 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 8 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 8 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 - 8 T + 71 T^{2} )^{2}$$)($$( 1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 - 8 T + 78 T^{2} - 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 + 4 T + 71 T^{2} )^{4}$$)($$( 1 - 4 T + 71 T^{2} )^{4}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 - 50 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 8 T + 78 T^{2} - 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 62 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 196 T^{2} + 18534 T^{4} - 988036 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 - 248 T^{2} + 34492 T^{4} - 3463880 T^{6} + 277458886 T^{8} - 17461419080 T^{10} + 876499701052 T^{12} - 31768870412408 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 188 T^{2} + 16870 T^{4} - 947708 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 - 16 T + 71 T^{2} )^{2}( 1 + 16 T + 71 T^{2} )^{2}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 42 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 16 T + 71 T^{2} )^{6}( 1 + 16 T + 71 T^{2} )^{6}$$)($$( 1 + 180 T^{2} + 17670 T^{4} + 907380 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 - 16 T + 71 T^{2} )^{4}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 - 8 T + 71 T^{2} )^{8}$$)($$( 1 - 8 T + 71 T^{2} )^{8}$$)($$( 1 + 110 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 + 8 T + 157 T^{2} + 704 T^{3} + 11147 T^{4} + 40328 T^{5} + 357911 T^{6} )^{4}$$)
$73$ ($$1 + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 + 73 T^{2}$$)($$1 - 16 T + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 + 16 T + 73 T^{2}$$)($$1 + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 + 73 T^{2}$$)($$1 - 18 T + 195 T^{2} - 1314 T^{3} + 5329 T^{4}$$)($$1 + 12 T + 102 T^{2} + 876 T^{3} + 5329 T^{4}$$)($$1 + 18 T + 195 T^{2} + 1314 T^{3} + 5329 T^{4}$$)($$( 1 + 9 T + 73 T^{2} )^{2}$$)($$( 1 + 15 T + 73 T^{2} )^{2}$$)($$1 - 96 T^{2} + 5329 T^{4}$$)($$1 + 96 T^{2} + 5329 T^{4}$$)($$1 + 144 T^{2} + 5329 T^{4}$$)($$1 + 144 T^{2} + 5329 T^{4}$$)($$( 1 - 15 T + 73 T^{2} )^{2}$$)($$( 1 - 9 T + 73 T^{2} )^{2}$$)($$1 - 18 T + 195 T^{2} - 1314 T^{3} + 5329 T^{4}$$)($$1 + 12 T + 102 T^{2} + 876 T^{3} + 5329 T^{4}$$)($$1 + 18 T + 195 T^{2} + 1314 T^{3} + 5329 T^{4}$$)($$( 1 + 96 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 2 T + 73 T^{2} )^{2}$$)($$( 1 + 73 T^{2} )^{2}$$)($$( 1 + 73 T^{2} )^{4}$$)($$( 1 - 6 T + 73 T^{2} )^{4}$$)($$( 1 + 5 T + 126 T^{2} + 289 T^{3} + 9198 T^{4} + 26645 T^{5} + 389017 T^{6} )^{2}$$)($$( 1 - 5 T + 126 T^{2} - 289 T^{3} + 9198 T^{4} - 26645 T^{5} + 389017 T^{6} )^{2}$$)($$( 1 + 176 T^{2} + 25907 T^{4} + 2052960 T^{6} + 138058403 T^{8} + 4998090416 T^{10} + 151334226289 T^{12} )^{2}$$)($$1 - 48 T^{2} + 1152 T^{4} - 255792 T^{6} + 28398241 T^{8}$$)($$1 + 48 T^{2} + 1152 T^{4} + 255792 T^{6} + 28398241 T^{8}$$)($$( 1 - 240 T^{2} + 24480 T^{4} - 1278960 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 - 272 T^{2} + 29152 T^{4} - 1449488 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 - 285 T^{2} + 39606 T^{4} - 3521657 T^{6} + 211060374 T^{8} - 8093498685 T^{10} + 151334226289 T^{12} )^{2}$$)($$( 1 - 272 T^{2} + 29056 T^{4} - 1449488 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 - 396 T^{2} + 77274 T^{4} - 9645072 T^{6} + 836463203 T^{8} - 51398588688 T^{10} + 2194445675034 T^{12} - 59928353610444 T^{14} + 806460091894081 T^{16} )^{2}$$)($$( 1 - 368 T^{2} + 58304 T^{4} - 5589104 T^{6} + 424131906 T^{8} - 29784335216 T^{10} + 1655731043264 T^{12} - 55690995274352 T^{14} + 806460091894081 T^{16} )^{2}$$)($$1 - 73 T^{2} + 5329 T^{4}$$)($$1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4}$$)($$1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4}$$)($$1 - 73 T^{2} + 5329 T^{4}$$)($$1 - 16 T + 183 T^{2} - 1168 T^{3} + 5329 T^{4}$$)($$1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4}$$)($$1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4}$$)($$1 + 16 T + 183 T^{2} + 1168 T^{3} + 5329 T^{4}$$)($$1 - 73 T^{2} + 5329 T^{4}$$)($$1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4}$$)($$1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4}$$)($$1 - 73 T^{2} + 5329 T^{4}$$)($$1 + 12 T + 42 T^{2} - 528 T^{3} - 5437 T^{4} - 38544 T^{5} + 223818 T^{6} + 4668204 T^{7} + 28398241 T^{8}$$)($$1 - 12 T + 42 T^{2} + 528 T^{3} - 5437 T^{4} + 38544 T^{5} + 223818 T^{6} - 4668204 T^{7} + 28398241 T^{8}$$)($$1 + 18 T + 129 T^{2} + 882 T^{3} + 9044 T^{4} + 64386 T^{5} + 687441 T^{6} + 7002306 T^{7} + 28398241 T^{8}$$)($$( 1 + 9 T + 8 T^{2} + 657 T^{3} + 5329 T^{4} )^{2}$$)($$1 - 144 T^{2} + 15407 T^{4} - 767376 T^{6} + 28398241 T^{8}$$)($$1 - 144 T^{2} + 15407 T^{4} - 767376 T^{6} + 28398241 T^{8}$$)($$1 - 96 T^{2} + 3887 T^{4} - 511584 T^{6} + 28398241 T^{8}$$)($$1 + 96 T^{2} + 3887 T^{4} + 511584 T^{6} + 28398241 T^{8}$$)($$( 1 - 15 T + 152 T^{2} - 1095 T^{3} + 5329 T^{4} )^{2}$$)($$1 + 12 T + 42 T^{2} - 528 T^{3} - 5437 T^{4} - 38544 T^{5} + 223818 T^{6} + 4668204 T^{7} + 28398241 T^{8}$$)($$1 - 12 T + 42 T^{2} + 528 T^{3} - 5437 T^{4} + 38544 T^{5} + 223818 T^{6} - 4668204 T^{7} + 28398241 T^{8}$$)($$1 + 18 T + 129 T^{2} + 882 T^{3} + 9044 T^{4} + 64386 T^{5} + 687441 T^{6} + 7002306 T^{7} + 28398241 T^{8}$$)($$( 1 - 96 T^{2} + 3887 T^{4} - 511584 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 + 132 T^{2} + 8682 T^{4} - 252912 T^{6} - 44828173 T^{8} - 1347768048 T^{10} + 246553528362 T^{12} + 19976117870148 T^{14} + 806460091894081 T^{16} )^{2}$$)($$( 1 - 12 T + 270 T^{2} - 2664 T^{3} + 35289 T^{4} - 261048 T^{5} + 2808174 T^{6} - 17932596 T^{7} + 187438964 T^{8} - 1309079508 T^{9} + 14964759246 T^{10} - 101552109816 T^{11} + 1002145526649 T^{12} - 5522662723752 T^{13} + 40860241098030 T^{14} - 132568782229164 T^{15} + 806460091894081 T^{16} )^{2}$$)($$( 1 + 272 T^{2} + 44928 T^{4} + 5004256 T^{6} + 421592159 T^{8} + 26667680224 T^{10} + 1275876171648 T^{12} + 41162909550608 T^{14} + 806460091894081 T^{16} )^{2}$$)($$( 1 + 73 T^{2} + 5329 T^{4} )^{2}$$)($$1 - 48 T^{2} + 1152 T^{4} + 456288 T^{6} - 39349153 T^{8} + 2431558752 T^{10} + 32714773632 T^{12} - 7264042861872 T^{14} + 806460091894081 T^{16}$$)($$1 + 240 T^{2} + 33120 T^{4} + 3317280 T^{6} + 263921759 T^{8} + 17677785120 T^{10} + 940549741920 T^{12} + 36320214309360 T^{14} + 806460091894081 T^{16}$$)($$1 + 240 T^{2} + 33120 T^{4} + 3317280 T^{6} + 263921759 T^{8} + 17677785120 T^{10} + 940549741920 T^{12} + 36320214309360 T^{14} + 806460091894081 T^{16}$$)($$( 1 - 70 T^{2} - 429 T^{4} - 373030 T^{6} + 28398241 T^{8} )^{2}$$)($$1 + 48 T^{2} + 1152 T^{4} - 456288 T^{6} - 39349153 T^{8} - 2431558752 T^{10} + 32714773632 T^{12} + 7264042861872 T^{14} + 806460091894081 T^{16}$$)($$( 1 + 9 T + 183 T^{2} + 1404 T^{3} + 16701 T^{4} + 147195 T^{5} + 1376278 T^{6} + 10745235 T^{7} + 88999629 T^{8} + 546179868 T^{9} + 5196878103 T^{10} + 18657644337 T^{11} + 151334226289 T^{12} )^{2}$$)($$( 1 + 272 T^{2} + 44832 T^{4} + 5030368 T^{6} + 427180127 T^{8} + 26806831072 T^{10} + 1273149940512 T^{12} + 41162909550608 T^{14} + 806460091894081 T^{16} )^{2}$$)($$( 1 - 73 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 - 73 T^{2} + 5329 T^{4} )^{4}$$)($$( 1 - 5 T - 101 T^{2} - 52 T^{3} + 5233 T^{4} + 28921 T^{5} - 430618 T^{6} + 2111233 T^{7} + 27886657 T^{8} - 20228884 T^{9} - 2868222341 T^{10} - 10365357965 T^{11} + 151334226289 T^{12} )^{2}$$)
$79$ ($$1 + 79 T^{2}$$)($$1 - 16 T + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 16 T + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 2 T + 109 T^{2} + 158 T^{3} + 6241 T^{4}$$)($$1 + 8 T + 94 T^{2} + 632 T^{3} + 6241 T^{4}$$)($$1 - 2 T + 109 T^{2} - 158 T^{3} + 6241 T^{4}$$)($$1 + 151 T^{2} + 6241 T^{4}$$)($$1 + 155 T^{2} + 6241 T^{4}$$)($$( 1 + 79 T^{2} )^{2}$$)($$( 1 + 79 T^{2} )^{2}$$)($$( 1 + 12 T + 79 T^{2} )^{2}$$)($$( 1 - 12 T + 79 T^{2} )^{2}$$)($$1 + 155 T^{2} + 6241 T^{4}$$)($$1 + 151 T^{2} + 6241 T^{4}$$)($$1 - 2 T + 109 T^{2} - 158 T^{3} + 6241 T^{4}$$)($$1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4}$$)($$1 + 2 T + 109 T^{2} + 158 T^{3} + 6241 T^{4}$$)($$( 1 + 78 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 8 T + 79 T^{2} )^{2}$$)($$( 1 - 8 T + 79 T^{2} )^{2}$$)($$( 1 - 130 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 79 T^{2} )^{4}$$)($$( 1 + 11 T + 258 T^{2} + 1747 T^{3} + 20382 T^{4} + 68651 T^{5} + 493039 T^{6} )^{2}$$)($$( 1 + 11 T + 258 T^{2} + 1747 T^{3} + 20382 T^{4} + 68651 T^{5} + 493039 T^{6} )^{2}$$)($$( 1 - 20 T + 285 T^{2} - 2648 T^{3} + 22515 T^{4} - 124820 T^{5} + 493039 T^{6} )^{4}$$)($$( 1 - 79 T^{2} )^{4}$$)($$( 1 - 79 T^{2} )^{4}$$)($$( 1 - 172 T^{2} + 15270 T^{4} - 1073452 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 156 T^{2} + 16518 T^{4} - 973596 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 261 T^{2} + 37602 T^{4} - 3492425 T^{6} + 234674082 T^{8} - 10165971141 T^{10} + 243087455521 T^{12} )^{2}$$)($$( 1 - 172 T^{2} + 17830 T^{4} - 1073452 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 296 T^{2} + 39114 T^{4} - 3067744 T^{6} + 214554059 T^{8} - 19145790304 T^{10} + 1523493468234 T^{12} - 71953886834216 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 - 168 T^{2} + 21436 T^{4} - 1928728 T^{6} + 159604358 T^{8} - 12037191448 T^{10} + 834933936316 T^{12} - 40838692527528 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 + 16 T + 177 T^{2} + 1264 T^{3} + 6241 T^{4}$$)($$1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 + 16 T + 177 T^{2} + 1264 T^{3} + 6241 T^{4}$$)($$1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4}$$)($$1 - 79 T^{2} + 6241 T^{4}$$)($$1 - 8 T - 30 T^{2} + 512 T^{3} - 2461 T^{4} + 40448 T^{5} - 187230 T^{6} - 3944312 T^{7} + 38950081 T^{8}$$)($$1 + 8 T - 30 T^{2} - 512 T^{3} - 2461 T^{4} - 40448 T^{5} - 187230 T^{6} + 3944312 T^{7} + 38950081 T^{8}$$)($$1 + 2 T - 105 T^{2} - 98 T^{3} + 5324 T^{4} - 7742 T^{5} - 655305 T^{6} + 986078 T^{7} + 38950081 T^{8}$$)($$1 - 151 T^{2} + 16560 T^{4} - 942391 T^{6} + 38950081 T^{8}$$)($$( 1 + 12 T + 65 T^{2} + 948 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{2}$$)($$1 - 155 T^{2} + 17784 T^{4} - 967355 T^{6} + 38950081 T^{8}$$)($$1 + 8 T - 30 T^{2} - 512 T^{3} - 2461 T^{4} - 40448 T^{5} - 187230 T^{6} + 3944312 T^{7} + 38950081 T^{8}$$)($$1 - 8 T - 30 T^{2} + 512 T^{3} - 2461 T^{4} + 40448 T^{5} - 187230 T^{6} - 3944312 T^{7} + 38950081 T^{8}$$)($$1 - 2 T - 105 T^{2} + 98 T^{3} + 5324 T^{4} + 7742 T^{5} - 655305 T^{6} - 986078 T^{7} + 38950081 T^{8}$$)($$( 1 - 78 T^{2} - 157 T^{4} - 486798 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 + 100 T^{2} - 1782 T^{4} - 70000 T^{6} + 37455443 T^{8} - 436870000 T^{10} - 69409044342 T^{12} + 24308745552100 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$1 + 296 T^{2} + 48502 T^{4} + 5442256 T^{6} + 407298713 T^{8} + 12121526192 T^{10} - 1601181207706 T^{12} - 316632003296936 T^{14} - 31211270417534060 T^{16} - 1976100332576177576 T^{18} - 62366137735826524186 T^{20} +$$$$29\!\cdots\!32$$$$T^{22} +$$$$61\!\cdots\!93$$$$T^{24} +$$$$51\!\cdots\!56$$$$T^{26} +$$$$28\!\cdots\!82$$$$T^{28} +$$$$10\!\cdots\!76$$$$T^{30} +$$$$23\!\cdots\!21$$$$T^{32}$$)($$( 1 + 172 T^{2} + 11754 T^{4} + 919856 T^{6} + 94325075 T^{8} + 5740821296 T^{10} + 457819252074 T^{12} + 41811042349612 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )$$)($$( 1 + 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 + 24 T + 374 T^{2} + 4368 T^{3} + 42051 T^{4} + 345072 T^{5} + 2334134 T^{6} + 11832936 T^{7} + 38950081 T^{8} )^{2}$$)($$( 1 - 24 T + 374 T^{2} - 4368 T^{3} + 42051 T^{4} - 345072 T^{5} + 2334134 T^{6} - 11832936 T^{7} + 38950081 T^{8} )^{2}$$)($$( 1 + 122 T^{2} + 8643 T^{4} + 761402 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 + 79 T^{2} + 6241 T^{4} )^{4}$$)($$1 + 261 T^{2} + 30519 T^{4} + 2829272 T^{6} + 267713397 T^{8} + 18988265187 T^{10} + 1205673992502 T^{12} + 118505763032067 T^{14} + 10427458497935157 T^{16} + 687760531456810712 T^{18} + 46300643769538335159 T^{20} +$$$$24\!\cdots\!61$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$( 1 + 156 T^{2} + 7818 T^{4} + 629616 T^{6} + 82013267 T^{8} + 3929433456 T^{10} + 304511733258 T^{12} + 37921643061276 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 + 130 T^{2} + 10659 T^{4} + 811330 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 11 T - 137 T^{2} + 656 T^{3} + 26965 T^{4} - 70973 T^{5} - 1975630 T^{6} - 5606867 T^{7} + 168288565 T^{8} + 323433584 T^{9} - 5336161097 T^{10} - 33847620389 T^{11} + 243087455521 T^{12} )^{2}$$)
$83$ ($$1 + 6 T + 83 T^{2}$$)($$1 - 2 T + 83 T^{2}$$)($$1 + 6 T + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 - 6 T + 83 T^{2}$$)($$1 + 2 T + 83 T^{2}$$)($$1 - 6 T + 83 T^{2}$$)($$1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4}$$)($$1 + 14 T + 210 T^{2} + 1162 T^{3} + 6889 T^{4}$$)($$1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4}$$)($$1 + 54 T^{2} + 6889 T^{4}$$)($$1 + 118 T^{2} + 6889 T^{4}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$1 + 68 T^{2} + 6889 T^{4}$$)($$1 + 68 T^{2} + 6889 T^{4}$$)($$1 + 118 T^{2} + 6889 T^{4}$$)($$1 + 54 T^{2} + 6889 T^{4}$$)($$1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4}$$)($$1 - 14 T + 210 T^{2} - 1162 T^{3} + 6889 T^{4}$$)($$1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4}$$)($$( 1 + 76 T^{2} + 6889 T^{4} )^{2}$$)($$1 + 76 T^{2} + 6889 T^{4}$$)($$( 1 - 83 T^{2} )^{2}$$)($$1 + 13130 T^{4} + 47458321 T^{8}$$)($$1 - 210 T^{2} + 23970 T^{4} - 1446690 T^{6} + 47458321 T^{8}$$)($$1 - 446 T^{2} + 86503 T^{4} - 9357636 T^{6} + 595919167 T^{8} - 21166411166 T^{10} + 326940373369 T^{12}$$)($$1 - 446 T^{2} + 86503 T^{4} - 9357636 T^{6} + 595919167 T^{8} - 21166411166 T^{10} + 326940373369 T^{12}$$)($$( 1 - 310 T^{2} + 51223 T^{4} - 5220844 T^{6} + 352875247 T^{8} - 14712079510 T^{10} + 326940373369 T^{12} )^{2}$$)($$1 + 72 T^{2} + 2592 T^{4} + 496008 T^{6} + 47458321 T^{8}$$)($$1 - 72 T^{2} + 2592 T^{4} - 496008 T^{6} + 47458321 T^{8}$$)($$( 1 - 228 T^{2} + 26382 T^{4} - 1570692 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 232 T^{2} + 25984 T^{4} - 1598248 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 270 T^{2} + 28455 T^{4} - 2146852 T^{6} + 196026495 T^{8} - 12813746670 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 + 232 T^{2} + 25312 T^{4} + 1598248 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 248 T^{2} + 25404 T^{4} + 1379080 T^{6} + 70811942 T^{8} + 9500482120 T^{10} + 1205631186684 T^{12} + 81081212595512 T^{14} + 2252292232139041 T^{16} )^{2}$$)($$( 1 + 100 T^{2} + 16790 T^{4} + 1955540 T^{6} + 140437474 T^{8} + 13471715060 T^{10} + 796825209590 T^{12} + 32694037336900 T^{14} + 2252292232139041 T^{16} )^{2}$$)($$( 1 - 6 T + 83 T^{2} )^{2}$$)($$( 1 + 2 T + 83 T^{2} )^{2}$$)($$( 1 + 2 T + 83 T^{2} )^{2}$$)($$( 1 - 6 T + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 6 T + 83 T^{2} )^{2}$$)($$( 1 - 2 T + 83 T^{2} )^{2}$$)($$( 1 - 2 T + 83 T^{2} )^{2}$$)($$( 1 + 6 T + 83 T^{2} )^{2}$$)($$( 1 - 14 T + 210 T^{2} - 1162 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 - 14 T + 210 T^{2} - 1162 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 54 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 68 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 68 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 + 118 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 14 T + 210 T^{2} + 1162 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 14 T + 210 T^{2} + 1162 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 76 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 + 196 T^{2} + 19150 T^{4} + 1350244 T^{6} + 47458321 T^{8} )^{4}$$)($$( 1 + 248 T^{2} + 25404 T^{4} + 1379080 T^{6} + 70811942 T^{8} + 9500482120 T^{10} + 1205631186684 T^{12} + 81081212595512 T^{14} + 2252292232139041 T^{16} )^{2}$$)($$( 1 + 232 T^{2} + 25312 T^{4} + 1598248 T^{6} + 47458321 T^{8} )^{4}$$)($$( 1 - 83 T^{2} )^{4}$$)($$( 1 - 72 T^{2} + 2592 T^{4} - 496008 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 228 T^{2} + 26382 T^{4} - 1570692 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 228 T^{2} + 26382 T^{4} - 1570692 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 160 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 + 72 T^{2} + 2592 T^{4} + 496008 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 270 T^{2} + 28455 T^{4} - 2146852 T^{6} + 196026495 T^{8} - 12813746670 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 - 232 T^{2} + 25984 T^{4} - 1598248 T^{6} + 47458321 T^{8} )^{4}$$)($$( 1 - 83 T^{2} )^{4}$$)($$( 1 + 76 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 76 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 210 T^{2} + 23970 T^{4} - 1446690 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 210 T^{2} + 23970 T^{4} - 1446690 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 13130 T^{4} + 47458321 T^{8} )^{2}$$)($$( 1 - 446 T^{2} + 86503 T^{4} - 9357636 T^{6} + 595919167 T^{8} - 21166411166 T^{10} + 326940373369 T^{12} )^{2}$$)
$89$ ($$1 - 16 T + 89 T^{2}$$)($$1 + 18 T + 89 T^{2}$$)($$1 + 16 T + 89 T^{2}$$)($$1 - 16 T + 89 T^{2}$$)($$1 + 10 T + 89 T^{2}$$)($$1 + 16 T + 89 T^{2}$$)($$1 - 16 T + 89 T^{2}$$)($$1 + 18 T + 89 T^{2}$$)($$1 + 16 T + 89 T^{2}$$)($$( 1 - 9 T + 89 T^{2} )^{2}$$)($$( 1 - 6 T + 89 T^{2} )^{2}$$)($$( 1 + 9 T + 89 T^{2} )^{2}$$)($$( 1 + 9 T + 89 T^{2} )^{2}$$)($$( 1 + 7 T + 89 T^{2} )^{2}$$)($$1 + 160 T^{2} + 7921 T^{4}$$)($$1 - 160 T^{2} + 7921 T^{4}$$)($$1 + 160 T^{2} + 7921 T^{4}$$)($$1 + 160 T^{2} + 7921 T^{4}$$)($$( 1 - 7 T + 89 T^{2} )^{2}$$)($$( 1 - 9 T + 89 T^{2} )^{2}$$)($$( 1 - 9 T + 89 T^{2} )^{2}$$)($$( 1 - 6 T + 89 T^{2} )^{2}$$)($$( 1 + 9 T + 89 T^{2} )^{2}$$)($$( 1 + 80 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T + 89 T^{2} )^{2}$$)($$( 1 + 89 T^{2} )^{2}$$)($$( 1 + 89 T^{2} )^{4}$$)($$( 1 - 16 T + 174 T^{2} - 1424 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 5 T + 158 T^{2} + 1121 T^{3} + 14062 T^{4} + 39605 T^{5} + 704969 T^{6} )^{2}$$)($$( 1 - 5 T + 158 T^{2} - 1121 T^{3} + 14062 T^{4} - 39605 T^{5} + 704969 T^{6} )^{2}$$)($$( 1 + 416 T^{2} + 80083 T^{4} + 9051968 T^{6} + 634337443 T^{8} + 26100772256 T^{10} + 496981290961 T^{12} )^{2}$$)($$1 + 144 T^{2} + 10368 T^{4} + 1140624 T^{6} + 62742241 T^{8}$$)($$1 - 144 T^{2} + 10368 T^{4} - 1140624 T^{6} + 62742241 T^{8}$$)($$( 1 - 96 T^{2} + 17088 T^{4} - 760416 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 - 256 T^{2} + 30304 T^{4} - 2027776 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 - 175 T^{2} + 7921 T^{4} )^{6}$$)($$( 1 - 256 T^{2} + 30304 T^{4} - 2027776 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 - 348 T^{2} + 68394 T^{4} - 8989680 T^{6} + 909791603 T^{8} - 71207255280 T^{10} + 4291192830954 T^{12} - 172949489254428 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 - 416 T^{2} + 95264 T^{4} - 14098336 T^{6} + 1485215170 T^{8} - 111672919456 T^{10} + 5977076846624 T^{12} - 206744217039776 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$1 - 16 T + 167 T^{2} - 1424 T^{3} + 7921 T^{4}$$)($$1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4}$$)($$1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4}$$)($$1 + 16 T + 167 T^{2} + 1424 T^{3} + 7921 T^{4}$$)($$1 - 16 T + 167 T^{2} - 1424 T^{3} + 7921 T^{4}$$)($$1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4}$$)($$1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4}$$)($$1 + 16 T + 167 T^{2} + 1424 T^{3} + 7921 T^{4}$$)($$1 - 16 T + 167 T^{2} - 1424 T^{3} + 7921 T^{4}$$)($$1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4}$$)($$1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4}$$)($$1 + 16 T + 167 T^{2} + 1424 T^{3} + 7921 T^{4}$$)($$( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} )^{2}$$)($$1 - 160 T^{2} + 17679 T^{4} - 1267360 T^{6} + 62742241 T^{8}$$)($$1 - 160 T^{2} + 17679 T^{4} - 1267360 T^{6} + 62742241 T^{8}$$)($$1 + 160 T^{2} + 17679 T^{4} + 1267360 T^{6} + 62742241 T^{8}$$)($$1 - 160 T^{2} + 17679 T^{4} - 1267360 T^{6} + 62742241 T^{8}$$)($$( 1 - 7 T - 40 T^{2} - 623 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 80 T^{2} - 1521 T^{4} - 633680 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 + 324 T^{2} + 63018 T^{4} + 8461584 T^{6} + 866216627 T^{8} + 67024206864 T^{10} + 3953890543338 T^{12} + 161021938271364 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 - 36 T + 822 T^{2} - 14040 T^{3} + 193953 T^{4} - 2261112 T^{5} + 23442342 T^{6} - 226172268 T^{7} + 2129495396 T^{8} - 20129331852 T^{9} + 185686790982 T^{10} - 1594013865528 T^{11} + 12169045868673 T^{12} - 78400194663960 T^{13} + 408518621169942 T^{14} - 1592328056239044 T^{15} + 3936588805702081 T^{16} )^{2}$$)($$( 1 + 256 T^{2} + 35232 T^{4} + 3702272 T^{6} + 336479519 T^{8} + 29325696512 T^{10} + 2210534634912 T^{12} + 127227210486016 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 + 89 T^{2} + 7921 T^{4} )^{2}$$)($$1 + 144 T^{2} + 10368 T^{4} - 788256 T^{6} - 119496673 T^{8} - 6243775776 T^{10} + 650511554688 T^{12} + 71565305898384 T^{14} + 3936588805702081 T^{16}$$)($$1 + 96 T^{2} - 7872 T^{4} + 119616 T^{6} + 156257567 T^{8} + 947478336 T^{10} - 493906921152 T^{12} + 47710203932256 T^{14} + 3936588805702081 T^{16}$$)($$1 + 96 T^{2} - 7872 T^{4} + 119616 T^{6} + 156257567 T^{8} + 947478336 T^{10} - 493906921152 T^{12} + 47710203932256 T^{14} + 3936588805702081 T^{16}$$)($$( 1 - 38 T^{2} - 6477 T^{4} - 300998 T^{6} + 62742241 T^{8} )^{2}$$)($$1 - 144 T^{2} + 10368 T^{4} + 788256 T^{6} - 119496673 T^{8} + 6243775776 T^{10} + 650511554688 T^{12} - 71565305898384 T^{14} + 3936588805702081 T^{16}$$)($$( 1 + 3 T + 92 T^{2} + 267 T^{3} + 7921 T^{4} )^{6}$$)($$( 1 + 256 T^{2} + 35232 T^{4} + 3702272 T^{6} + 336479519 T^{8} + 29325696512 T^{10} + 2210534634912 T^{12} + 127227210486016 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 - 89 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 16 T + 82 T^{2} + 64 T^{3} - 429 T^{4} + 5696 T^{5} + 649522 T^{6} - 11279504 T^{7} + 62742241 T^{8} )^{2}$$)($$( 1 + 16 T + 82 T^{2} - 64 T^{3} - 429 T^{4} - 5696 T^{5} + 649522 T^{6} + 11279504 T^{7} + 62742241 T^{8} )^{2}$$)($$( 1 - 89 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 5 T - 133 T^{2} + 1452 T^{3} + 5297 T^{4} - 76103 T^{5} + 246758 T^{6} - 6773167 T^{7} + 41957537 T^{8} + 1023614988 T^{9} - 8344718053 T^{10} - 27920297245 T^{11} + 496981290961 T^{12} )^{2}$$)
$97$ ($$1 - 12 T + 97 T^{2}$$)($$1 - 2 T + 97 T^{2}$$)($$1 + 12 T + 97 T^{2}$$)($$1 - 8 T + 97 T^{2}$$)($$1 + 18 T + 97 T^{2}$$)($$1 + 8 T + 97 T^{2}$$)($$1 - 12 T + 97 T^{2}$$)($$1 - 2 T + 97 T^{2}$$)($$1 + 12 T + 97 T^{2}$$)($$1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4}$$)($$1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4}$$)($$1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4}$$)($$( 1 + 8 T + 97 T^{2} )^{2}$$)($$( 1 + 12 T + 97 T^{2} )^{2}$$)($$1 + 144 T^{2} + 9409 T^{4}$$)($$1 - 144 T^{2} + 9409 T^{4}$$)($$1 - 144 T^{2} + 9409 T^{4}$$)($$1 - 144 T^{2} + 9409 T^{4}$$)($$( 1 - 12 T + 97 T^{2} )^{2}$$)($$( 1 - 8 T + 97 T^{2} )^{2}$$)($$1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4}$$)($$1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4}$$)($$1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4}$$)($$( 1 + 176 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 10 T + 97 T^{2} )^{2}$$)($$( 1 + 97 T^{2} )^{2}$$)($$( 1 + 97 T^{2} )^{4}$$)($$( 1 + 8 T + 142 T^{2} + 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 10 T + 255 T^{2} + 1968 T^{3} + 24735 T^{4} + 94090 T^{5} + 912673 T^{6} )^{2}$$)($$( 1 - 10 T + 255 T^{2} - 1968 T^{3} + 24735 T^{4} - 94090 T^{5} + 912673 T^{6} )^{2}$$)($$( 1 + 480 T^{2} + 104003 T^{4} + 12968896 T^{6} + 978564227 T^{8} + 42494054880 T^{10} + 832972004929 T^{12} )^{2}$$)($$1 + 240 T^{2} + 28800 T^{4} + 2258160 T^{6} + 88529281 T^{8}$$)($$1 - 240 T^{2} + 28800 T^{4} - 2258160 T^{6} + 88529281 T^{8}$$)($$( 1 - 288 T^{2} + 38304 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 64 T^{2} + 6720 T^{4} - 602176 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 222 T^{2} + 20703 T^{4} - 1529300 T^{6} + 194794527 T^{8} - 19653500382 T^{10} + 832972004929 T^{12} )^{2}$$)($$( 1 - 336 T^{2} + 46944 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 304 T^{2} + 67644 T^{4} - 9727184 T^{6} + 1110022022 T^{8} - 91523074256 T^{10} + 5988474683964 T^{12} - 253223489498416 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 - 624 T^{2} + 180800 T^{4} - 31908976 T^{6} + 3750004482 T^{8} - 300231555184 T^{10} + 16006094004800 T^{12} - 519774531075696 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 + 12 T + 97 T^{2} )^{2}$$)($$( 1 + 2 T + 97 T^{2} )^{2}$$)($$( 1 - 2 T + 97 T^{2} )^{2}$$)($$( 1 - 12 T + 97 T^{2} )^{2}$$)($$( 1 + 8 T + 97 T^{2} )^{2}$$)($$( 1 + 18 T + 97 T^{2} )^{2}$$)($$( 1 - 18 T + 97 T^{2} )^{2}$$)($$( 1 - 8 T + 97 T^{2} )^{2}$$)($$( 1 + 12 T + 97 T^{2} )^{2}$$)($$( 1 - 2 T + 97 T^{2} )^{2}$$)($$( 1 + 2 T + 97 T^{2} )^{2}$$)($$( 1 - 12 T + 97 T^{2} )^{2}$$)($$( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 8 T + 97 T^{2} )^{4}$$)($$( 1 - 144 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 144 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 144 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 144 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 12 T + 97 T^{2} )^{4}$$)($$( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 176 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 68 T^{2} + 19462 T^{4} - 639812 T^{6} + 88529281 T^{8} )^{4}$$)($$( 1 - 304 T^{2} + 67644 T^{4} - 9727184 T^{6} + 1110022022 T^{8} - 91523074256 T^{10} + 5988474683964 T^{12} - 253223489498416 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 - 336 T^{2} + 46944 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{4}$$)($$( 1 - 97 T^{2} )^{4}$$)($$( 1 - 240 T^{2} + 28800 T^{4} - 2258160 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 288 T^{2} + 38304 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 288 T^{2} + 38304 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 170 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 + 240 T^{2} + 28800 T^{4} + 2258160 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 222 T^{2} + 20703 T^{4} - 1529300 T^{6} + 194794527 T^{8} - 19653500382 T^{10} + 832972004929 T^{12} )^{2}$$)($$( 1 - 64 T^{2} + 6720 T^{4} - 602176 T^{6} + 88529281 T^{8} )^{4}$$)($$( 1 + 97 T^{2} )^{4}$$)($$( 1 - 10 T + 97 T^{2} )^{4}$$)($$( 1 + 10 T + 97 T^{2} )^{4}$$)($$( 1 - 8 T + 142 T^{2} - 776 T^{3} + 9409 T^{4} )^{4}$$)($$( 1 + 8 T + 142 T^{2} + 776 T^{3} + 9409 T^{4} )^{4}$$)($$( 1 + 97 T^{2} )^{8}$$)($$( 1 + 10 T + 255 T^{2} + 1968 T^{3} + 24735 T^{4} + 94090 T^{5} + 912673 T^{6} )^{4}$$)