# Properties

 Label 448.2 Level 448 Weight 2 Dimension 3202 Nonzero newspaces 16 Newform subspaces 60 Sturm bound 24576 Trace bound 25

## Defining parameters

 Level: $$N$$ = $$448 = 2^{6} \cdot 7$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$16$$ Newform subspaces: $$60$$ Sturm bound: $$24576$$ Trace bound: $$25$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(448))$$.

Total New Old
Modular forms 6576 3422 3154
Cusp forms 5713 3202 2511
Eisenstein series 863 220 643

## Trace form

 $$3202q - 32q^{2} - 24q^{3} - 32q^{4} - 32q^{5} - 32q^{6} - 28q^{7} - 80q^{8} - 34q^{9} + O(q^{10})$$ $$3202q - 32q^{2} - 24q^{3} - 32q^{4} - 32q^{5} - 32q^{6} - 28q^{7} - 80q^{8} - 34q^{9} - 32q^{10} - 16q^{11} - 32q^{12} - 16q^{13} - 40q^{14} - 48q^{15} - 32q^{16} - 40q^{17} - 32q^{18} - 8q^{19} - 32q^{20} - 44q^{21} - 96q^{22} - 20q^{23} - 112q^{24} - 62q^{25} - 112q^{26} - 36q^{27} - 80q^{28} - 112q^{29} - 192q^{30} - 68q^{31} - 112q^{32} - 76q^{33} - 112q^{34} - 32q^{35} - 240q^{36} - 48q^{37} - 112q^{38} - 20q^{39} - 112q^{40} - 40q^{41} - 80q^{42} - 36q^{43} - 48q^{44} - 24q^{45} - 32q^{46} + 12q^{47} - 32q^{48} - 54q^{49} - 32q^{50} - 76q^{51} + 64q^{52} + 16q^{53} + 96q^{54} - 160q^{55} + 16q^{56} - 88q^{57} + 112q^{58} - 160q^{59} + 160q^{60} - 16q^{61} + 32q^{62} - 96q^{63} + 112q^{64} - 84q^{65} + 128q^{66} - 200q^{67} + 64q^{68} - 8q^{69} + 56q^{70} - 184q^{71} + 112q^{72} - 40q^{73} + 80q^{74} - 136q^{75} + 96q^{76} - 44q^{77} - 32q^{78} - 84q^{79} - 112q^{80} - 98q^{81} - 192q^{82} - 24q^{83} - 152q^{84} - 96q^{85} - 240q^{86} - 20q^{87} - 192q^{88} - 136q^{89} - 320q^{90} - 108q^{91} - 384q^{92} - 160q^{93} - 224q^{94} - 132q^{95} - 304q^{96} - 200q^{97} - 176q^{98} - 228q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(448))$$

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
448.2.a $$\chi_{448}(1, \cdot)$$ 448.2.a.a 1 1
448.2.a.b 1
448.2.a.c 1
448.2.a.d 1
448.2.a.e 1
448.2.a.f 1
448.2.a.g 1
448.2.a.h 1
448.2.a.i 2
448.2.a.j 2
448.2.b $$\chi_{448}(225, \cdot)$$ 448.2.b.a 2 1
448.2.b.b 2
448.2.b.c 4
448.2.b.d 4
448.2.e $$\chi_{448}(223, \cdot)$$ 448.2.e.a 8 1
448.2.e.b 8
448.2.f $$\chi_{448}(447, \cdot)$$ 448.2.f.a 2 1
448.2.f.b 2
448.2.f.c 2
448.2.f.d 8
448.2.i $$\chi_{448}(65, \cdot)$$ 448.2.i.a 2 2
448.2.i.b 2
448.2.i.c 2
448.2.i.d 2
448.2.i.e 2
448.2.i.f 2
448.2.i.g 4
448.2.i.h 4
448.2.i.i 4
448.2.i.j 4
448.2.j $$\chi_{448}(111, \cdot)$$ 448.2.j.a 4 2
448.2.j.b 4
448.2.j.c 4
448.2.j.d 16
448.2.m $$\chi_{448}(113, \cdot)$$ 448.2.m.a 2 2
448.2.m.b 2
448.2.m.c 8
448.2.m.d 12
448.2.p $$\chi_{448}(255, \cdot)$$ 448.2.p.a 2 2
448.2.p.b 2
448.2.p.c 4
448.2.p.d 4
448.2.p.e 16
448.2.q $$\chi_{448}(31, \cdot)$$ 448.2.q.a 8 2
448.2.q.b 12
448.2.q.c 12
448.2.t $$\chi_{448}(289, \cdot)$$ 448.2.t.a 8 2
448.2.t.b 12
448.2.t.c 12
448.2.u $$\chi_{448}(57, \cdot)$$ None 0 4
448.2.x $$\chi_{448}(55, \cdot)$$ None 0 4
448.2.z $$\chi_{448}(47, \cdot)$$ 448.2.z.a 56 4
448.2.ba $$\chi_{448}(81, \cdot)$$ 448.2.ba.a 4 4
448.2.ba.b 4
448.2.ba.c 48
448.2.bc $$\chi_{448}(29, \cdot)$$ 448.2.bc.a 8 8
448.2.bc.b 184
448.2.bc.c 192
448.2.bd $$\chi_{448}(27, \cdot)$$ 448.2.bd.a 16 8
448.2.bd.b 480
448.2.bh $$\chi_{448}(9, \cdot)$$ None 0 8
448.2.bi $$\chi_{448}(87, \cdot)$$ None 0 8
448.2.bm $$\chi_{448}(3, \cdot)$$ 448.2.bm.a 992 16
448.2.bn $$\chi_{448}(37, \cdot)$$ 448.2.bn.a 992 16

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(448))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(448)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 5}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(32))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(56))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(64))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(112))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(224))$$$$^{\oplus 2}$$

## Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ ()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()($$1 + 16 T^{8}$$)($$1 - 31 T^{8} + 256 T^{16}$$)
$3$ ($$1 + 2 T + 3 T^{2}$$)($$1 + 2 T + 3 T^{2}$$)($$1 + 2 T + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4}$$)($$1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4}$$)($$1 - 2 T^{2} + 9 T^{4}$$)($$1 - 2 T^{2} + 9 T^{4}$$)($$1 - 4 T^{2} + 10 T^{4} - 36 T^{6} + 81 T^{8}$$)($$1 - 4 T^{2} + 10 T^{4} - 36 T^{6} + 81 T^{8}$$)($$( 1 - 10 T^{4} + 81 T^{8} )^{2}$$)($$( 1 - 4 T^{2} + 9 T^{4} )^{4}$$)($$( 1 + 2 T + 3 T^{2} )^{2}$$)($$( 1 + 3 T^{2} )^{2}$$)($$( 1 - 2 T + 3 T^{2} )^{2}$$)($$( 1 + 4 T^{2} + 14 T^{4} + 36 T^{6} + 81 T^{8} )^{2}$$)($$( 1 + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4}$$)($$1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4}$$)($$1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4}$$)($$1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4}$$)($$( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} )$$)($$1 + 2 T - T^{2} - 2 T^{3} + 4 T^{4} - 6 T^{5} - 9 T^{6} + 54 T^{7} + 81 T^{8}$$)($$1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} )$$)($$1 - 2 T - T^{2} + 2 T^{3} + 4 T^{4} + 6 T^{5} - 9 T^{6} - 54 T^{7} + 81 T^{8}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} )^{2}$$)($$1 - 32 T^{4} + 644 T^{8} - 8864 T^{12} + 92358 T^{16} - 717984 T^{20} + 4225284 T^{24} - 17006112 T^{28} + 43046721 T^{32}$$)($$1 + 9 T^{4}$$)($$1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4}$$)($$1 + 4 T^{3} - 16 T^{4} - 4 T^{5} + 8 T^{6} - 16 T^{7} + 130 T^{8} - 48 T^{9} + 72 T^{10} - 108 T^{11} - 1296 T^{12} + 972 T^{13} + 6561 T^{16}$$)($$1 + 4 T + 8 T^{2} + 16 T^{3} + 34 T^{4} + 48 T^{5} + 48 T^{6} + 52 T^{7} + 83 T^{8} + 96 T^{9} + 72 T^{10} + 480 T^{11} + 1540 T^{12} + 1440 T^{13} + 648 T^{14} + 2592 T^{15} + 6723 T^{16} + 12636 T^{17} + 34992 T^{18} + 104976 T^{19} + 223074 T^{20} + 314928 T^{21} + 472392 T^{22} + 708588 T^{23} + 531441 T^{24}$$)($$1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4}$$)($$1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4}$$)($$1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} )$$)($$1 - 8 T^{2} + 38 T^{4} - 80 T^{6} - 23 T^{8} + 752 T^{10} - 1162 T^{12} - 4696 T^{14} + 30100 T^{16} - 42264 T^{18} - 94122 T^{20} + 548208 T^{22} - 150903 T^{24} - 4723920 T^{26} + 20194758 T^{28} - 38263752 T^{30} + 43046721 T^{32}$$)($$( 1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8} )^{2}$$)($$1 + 7 T^{2} + 23 T^{4} + 16 T^{6} - 139 T^{8} - 551 T^{10} - 1706 T^{12} - 4959 T^{14} - 11259 T^{16} + 11664 T^{18} + 150903 T^{20} + 413343 T^{22} + 531441 T^{24}$$)($$1 + 7 T^{2} + 23 T^{4} + 16 T^{6} - 139 T^{8} - 551 T^{10} - 1706 T^{12} - 4959 T^{14} - 11259 T^{16} + 11664 T^{18} + 150903 T^{20} + 413343 T^{22} + 531441 T^{24}$$)($$( 1 + 5 T^{2} + 16 T^{4} + 45 T^{6} + 81 T^{8} )^{2}$$)($$1 + 3 T^{2} + 3 T^{4} - 52 T^{6} - 123 T^{8} + 129 T^{10} + 1630 T^{12} + 1161 T^{14} - 9963 T^{16} - 37908 T^{18} + 19683 T^{20} + 177147 T^{22} + 531441 T^{24}$$)($$1 + 3 T^{2} + 3 T^{4} - 52 T^{6} - 123 T^{8} + 129 T^{10} + 1630 T^{12} + 1161 T^{14} - 9963 T^{16} - 37908 T^{18} + 19683 T^{20} + 177147 T^{22} + 531441 T^{24}$$)($$1 + 2 T + 5 T^{2} + 10 T^{3} + 16 T^{4} + 30 T^{5} + 45 T^{6} + 54 T^{7} + 81 T^{8}$$)($$1 - 4 T + 5 T^{2} + 4 T^{3} - 20 T^{4} + 12 T^{5} + 45 T^{6} - 108 T^{7} + 81 T^{8}$$)($$1 - 8 T^{2} + 8 T^{3} + 24 T^{4} - 56 T^{5} + 96 T^{7} - 160 T^{8} + 288 T^{9} - 1512 T^{11} + 1944 T^{12} + 1944 T^{13} - 5832 T^{14} + 6561 T^{16}$$)($$( 1 + 6561 T^{16} )^{2}$$)
$5$ ($$1 + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - 4 T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - 4 T + 5 T^{2}$$)($$1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4}$$)($$1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4}$$)($$( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$$)($$( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$$)($$1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8}$$)($$1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8}$$)($$( 1 + 22 T^{4} + 625 T^{8} )^{2}$$)($$( 1 + 8 T^{2} + 25 T^{4} )^{4}$$)($$1 + 2 T^{2} + 25 T^{4}$$)($$( 1 - 5 T^{2} )^{2}$$)($$1 + 2 T^{2} + 25 T^{4}$$)($$( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2}$$)($$1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4}$$)($$1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4}$$)($$1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4}$$)($$1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4}$$)($$1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4}$$)($$1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4}$$)($$1 - 2 T + T^{2} + 14 T^{3} - 36 T^{4} + 70 T^{5} + 25 T^{6} - 250 T^{7} + 625 T^{8}$$)($$( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} )^{2}$$)($$( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} )^{2}$$)($$1 - 2 T + T^{2} + 14 T^{3} - 36 T^{4} + 70 T^{5} + 25 T^{6} - 250 T^{7} + 625 T^{8}$$)($$( 1 + 25 T^{4} )^{2}$$)($$( 1 - 4 T + 8 T^{2} - 20 T^{3} + 25 T^{4} )( 1 + 4 T + 8 T^{2} + 20 T^{3} + 25 T^{4} )$$)($$1 - 34 T^{4} + 625 T^{8}$$)($$1 - 188 T^{8} - 1856 T^{12} + 721606 T^{16} - 1160000 T^{20} - 73437500 T^{24} + 152587890625 T^{32}$$)($$1 - 4 T + 8 T^{2} - 20 T^{3} + 25 T^{4}$$)($$1 + 4 T + 8 T^{2} + 20 T^{3} + 25 T^{4}$$)($$1 + 4 T + 8 T^{2} + 8 T^{3} + 32 T^{4} + 168 T^{5} + 448 T^{6} + 692 T^{7} + 994 T^{8} + 3460 T^{9} + 11200 T^{10} + 21000 T^{11} + 20000 T^{12} + 25000 T^{13} + 125000 T^{14} + 312500 T^{15} + 390625 T^{16}$$)($$1 - 4 T + 8 T^{2} - 8 T^{3} - 30 T^{4} + 96 T^{5} - 112 T^{6} - 52 T^{7} + 723 T^{8} - 552 T^{9} - 1912 T^{10} + 7928 T^{11} - 25276 T^{12} + 39640 T^{13} - 47800 T^{14} - 69000 T^{15} + 451875 T^{16} - 162500 T^{17} - 1750000 T^{18} + 7500000 T^{19} - 11718750 T^{20} - 15625000 T^{21} + 78125000 T^{22} - 195312500 T^{23} + 244140625 T^{24}$$)($$1 + 3 T + 8 T^{2} + 15 T^{3} + 25 T^{4}$$)($$1 + 3 T + 8 T^{2} + 15 T^{3} + 25 T^{4}$$)($$( 1 - 3 T + 8 T^{2} - 15 T^{3} + 25 T^{4} )^{2}$$)($$( 1 - 3 T + 8 T^{2} - 15 T^{3} + 25 T^{4} )^{2}$$)($$( 1 + 6 T^{2} + 9 T^{4} - 138 T^{6} - 796 T^{8} - 3450 T^{10} + 5625 T^{12} + 93750 T^{14} + 390625 T^{16} )^{2}$$)($$( 1 - 5 T^{2} )^{4}( 1 + 5 T^{2} + 25 T^{4} )^{2}$$)($$( 1 + 3 T - T^{2} - 24 T^{3} - 31 T^{4} + 45 T^{5} + 254 T^{6} + 225 T^{7} - 775 T^{8} - 3000 T^{9} - 625 T^{10} + 9375 T^{11} + 15625 T^{12} )^{2}$$)($$( 1 - 3 T - T^{2} + 24 T^{3} - 31 T^{4} - 45 T^{5} + 254 T^{6} - 225 T^{7} - 775 T^{8} + 3000 T^{9} - 625 T^{10} - 9375 T^{11} + 15625 T^{12} )^{2}$$)($$( 1 + 3 T^{2} - 16 T^{4} + 75 T^{6} + 625 T^{8} )^{2}$$)($$( 1 + 3 T + 11 T^{2} + 24 T^{3} + 45 T^{4} + 93 T^{5} + 142 T^{6} + 465 T^{7} + 1125 T^{8} + 3000 T^{9} + 6875 T^{10} + 9375 T^{11} + 15625 T^{12} )^{2}$$)($$( 1 - 3 T + 11 T^{2} - 24 T^{3} + 45 T^{4} - 93 T^{5} + 142 T^{6} - 465 T^{7} + 1125 T^{8} - 3000 T^{9} + 6875 T^{10} - 9375 T^{11} + 15625 T^{12} )^{2}$$)($$( 1 + 2 T + 5 T^{2} )^{2}( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} )$$)($$( 1 + 4 T + 5 T^{2} )^{2}( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} )$$)($$1 + 390625 T^{16}$$)($$( 1 + 390625 T^{16} )^{2}$$)
$7$ ($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 - T$$)($$1 + T$$)($$1 - T$$)($$1 + T$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 + T )^{4}$$)($$( 1 - T )^{4}$$)($$( 1 + 7 T^{2} )^{4}$$)($$( 1 - 10 T^{2} + 49 T^{4} )^{2}$$)($$1 + 4 T + 7 T^{2}$$)($$1 + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$1 - 4 T^{2} - 26 T^{4} - 196 T^{6} + 2401 T^{8}$$)($$1 + 4 T + 7 T^{2}$$)($$1 + 4 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$1 + 4 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$( 1 - 2 T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} )^{2}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$( 1 + 2 T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} )^{2}$$)($$( 1 - 2 T + 7 T^{2} )^{2}$$)($$( 1 - 4 T + 7 T^{2} )^{2}$$)($$( 1 + 4 T + 12 T^{2} + 36 T^{3} + 86 T^{4} + 252 T^{5} + 588 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$( 1 + T^{2} )^{4}$$)($$( 1 + T^{2} )^{6}$$)($$1 + 4 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$( 1 - 7 T^{2} )^{2}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 + 16 T^{2} + 60 T^{4} - 784 T^{6} - 10426 T^{8} - 38416 T^{10} + 144060 T^{12} + 1882384 T^{14} + 5764801 T^{16}$$)($$( 1 + 2 T^{2} + 49 T^{4} )^{2}$$)($$1 - 6 T^{2} - 33 T^{4} + 380 T^{6} - 1617 T^{8} - 14406 T^{10} + 117649 T^{12}$$)($$1 - 6 T^{2} - 33 T^{4} + 380 T^{6} - 1617 T^{8} - 14406 T^{10} + 117649 T^{12}$$)($$( 1 - 7 T^{2} )^{4}$$)($$1 + 10 T^{2} - T^{4} - 356 T^{6} - 49 T^{8} + 24010 T^{10} + 117649 T^{12}$$)($$1 + 10 T^{2} - T^{4} - 356 T^{6} - 49 T^{8} + 24010 T^{10} + 117649 T^{12}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 + T^{8}$$)($$( 1 + 2401 T^{8} )^{2}$$)
$11$ ($$1 + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 - 4 T + 6 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 - 18 T^{2} + 121 T^{4}$$)($$1 - 18 T^{2} + 121 T^{4}$$)($$1 - 12 T^{2} + 86 T^{4} - 1452 T^{6} + 14641 T^{8}$$)($$1 - 12 T^{2} + 86 T^{4} - 1452 T^{6} + 14641 T^{8}$$)($$( 1 + 11 T^{2} )^{8}$$)($$( 1 + 10 T^{2} + 121 T^{4} )^{4}$$)($$1 - 10 T^{2} + 121 T^{4}$$)($$( 1 - 4 T + 11 T^{2} )( 1 + 4 T + 11 T^{2} )$$)($$1 - 10 T^{2} + 121 T^{4}$$)($$( 1 - 18 T^{2} + 121 T^{4} )^{4}$$)($$1 - T - 10 T^{2} - 11 T^{3} + 121 T^{4}$$)($$1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4}$$)($$1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4}$$)($$1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4}$$)($$1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4}$$)($$1 + T - 10 T^{2} + 11 T^{3} + 121 T^{4}$$)($$1 - 2 T - 17 T^{2} + 2 T^{3} + 276 T^{4} + 22 T^{5} - 2057 T^{6} - 2662 T^{7} + 14641 T^{8}$$)($$1 - 15 T^{2} + 104 T^{4} - 1815 T^{6} + 14641 T^{8}$$)($$1 + 5 T^{2} - 96 T^{4} + 605 T^{6} + 14641 T^{8}$$)($$1 + 2 T - 17 T^{2} - 2 T^{3} + 276 T^{4} - 22 T^{5} - 2057 T^{6} + 2662 T^{7} + 14641 T^{8}$$)($$( 1 + 4 T + 11 T^{2} )^{2}( 1 - 6 T^{2} + 121 T^{4} )$$)($$( 1 + 2 T + 2 T^{2} + 22 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 6 T + 18 T^{2} + 66 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 4 T + 8 T^{2} - 44 T^{3} + 121 T^{4} )^{8}$$)($$1 + 2 T + 2 T^{2} + 22 T^{3} + 121 T^{4}$$)($$1 - 6 T + 18 T^{2} - 66 T^{3} + 121 T^{4}$$)($$1 - 32 T^{3} - 28 T^{4} + 288 T^{5} + 512 T^{6} - 192 T^{7} - 21722 T^{8} - 2112 T^{9} + 61952 T^{10} + 383328 T^{11} - 409948 T^{12} - 5153632 T^{13} + 214358881 T^{16}$$)($$1 - 32 T^{3} - 206 T^{4} + 160 T^{5} + 512 T^{6} + 3328 T^{7} + 26575 T^{8} - 13056 T^{9} + 11776 T^{10} - 286144 T^{11} - 3400484 T^{12} - 3147584 T^{13} + 1424896 T^{14} - 17377536 T^{15} + 389084575 T^{16} + 535977728 T^{17} + 907039232 T^{18} + 3117947360 T^{19} - 44157929486 T^{20} - 75454326112 T^{21} + 3138428376721 T^{24}$$)($$1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4}$$)($$1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4}$$)($$1 + T^{2} - 120 T^{4} + 121 T^{6} + 14641 T^{8}$$)($$1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8}$$)($$1 + 24 T^{2} + 86 T^{4} - 2064 T^{6} - 12647 T^{8} + 54000 T^{10} - 509434 T^{12} - 4559928 T^{14} + 74796148 T^{16} - 551751288 T^{18} - 7458623194 T^{20} + 95664294000 T^{22} - 2710996768007 T^{24} - 53534844376464 T^{26} + 269904840398006 T^{28} + 9113996005997784 T^{30} + 45949729863572161 T^{32}$$)($$( 1 - 7 T^{2} - 72 T^{4} - 847 T^{6} + 14641 T^{8} )^{2}$$)($$1 - 21 T^{2} + 3 T^{4} + 860 T^{6} + 33237 T^{8} - 284247 T^{10} - 835842 T^{12} - 34393887 T^{14} + 486622917 T^{16} + 1523542460 T^{18} + 643076643 T^{20} - 544685916621 T^{22} + 3138428376721 T^{24}$$)($$1 - 21 T^{2} + 3 T^{4} + 860 T^{6} + 33237 T^{8} - 284247 T^{10} - 835842 T^{12} - 34393887 T^{14} + 486622917 T^{16} + 1523542460 T^{18} + 643076643 T^{20} - 544685916621 T^{22} + 3138428376721 T^{24}$$)($$( 1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8} )^{2}$$)($$1 + 31 T^{2} + 439 T^{4} + 3776 T^{6} + 17029 T^{8} - 224207 T^{10} - 5020234 T^{12} - 27129047 T^{14} + 249321589 T^{16} + 6689414336 T^{18} + 94103548759 T^{20} + 804060162631 T^{22} + 3138428376721 T^{24}$$)($$1 + 31 T^{2} + 439 T^{4} + 3776 T^{6} + 17029 T^{8} - 224207 T^{10} - 5020234 T^{12} - 27129047 T^{14} + 249321589 T^{16} + 6689414336 T^{18} + 94103548759 T^{20} + 804060162631 T^{22} + 3138428376721 T^{24}$$)($$1 - 10 T + 41 T^{2} - 82 T^{3} + 136 T^{4} - 902 T^{5} + 4961 T^{6} - 13310 T^{7} + 14641 T^{8}$$)($$1 + 8 T + 41 T^{2} + 152 T^{3} + 532 T^{4} + 1672 T^{5} + 4961 T^{6} + 10648 T^{7} + 14641 T^{8}$$)($$1 - 16 T + 128 T^{2} - 720 T^{3} + 3138 T^{4} - 10848 T^{5} + 31264 T^{6} - 82432 T^{7} + 240258 T^{8} - 906752 T^{9} + 3782944 T^{10} - 14438688 T^{11} + 45943458 T^{12} - 115956720 T^{13} + 226759808 T^{14} - 311794736 T^{15} + 214358881 T^{16}$$)($$( 1 - 206 T^{4} + 14641 T^{8} )^{2}( 1 + 13154 T^{8} + 214358881 T^{16} )$$)
$13$ ($$1 - 4 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 + 13 T^{2}$$)($$1 + 2 T + 13 T^{2}$$)($$1 + 2 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 + 13 T^{2}$$)($$1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4}$$)($$1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4}$$)($$( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} )$$)($$( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} )$$)($$1 + 4 T^{2} + 42 T^{4} + 676 T^{6} + 28561 T^{8}$$)($$1 + 4 T^{2} + 42 T^{4} + 676 T^{6} + 28561 T^{8}$$)($$( 1 + 310 T^{4} + 28561 T^{8} )^{2}$$)($$( 1 + 8 T^{2} + 169 T^{4} )^{4}$$)($$1 - 14 T^{2} + 169 T^{4}$$)($$( 1 - 13 T^{2} )^{2}$$)($$1 - 14 T^{2} + 169 T^{4}$$)($$( 1 - 12 T^{2} + 366 T^{4} - 2028 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{4}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 + 18 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 169 T^{4} )^{2}$$)($$1 - 142 T^{4} + 28561 T^{8}$$)($$1 + 62 T^{4} + 28561 T^{8}$$)($$1 + 256 T^{4} + 62916 T^{8} + 4935360 T^{12} + 1067752518 T^{16} + 140958816960 T^{20} + 51322514042436 T^{24} + 5964309791355136 T^{28} + 665416609183179841 T^{32}$$)($$1 + 169 T^{4}$$)($$1 + 169 T^{4}$$)($$1 - 4 T^{3} - 336 T^{4} + 44 T^{5} + 8 T^{6} + 576 T^{7} + 70370 T^{8} + 7488 T^{9} + 1352 T^{10} + 96668 T^{11} - 9596496 T^{12} - 1485172 T^{13} + 815730721 T^{16}$$)($$1 + 20 T^{3} - 174 T^{4} + 596 T^{5} + 200 T^{6} + 2744 T^{7} + 55763 T^{8} - 14088 T^{9} + 267288 T^{10} + 722392 T^{11} - 4753628 T^{12} + 9391096 T^{13} + 45171672 T^{14} - 30951336 T^{15} + 1592647043 T^{16} + 1018827992 T^{17} + 965361800 T^{18} + 37398116132 T^{19} - 141937145454 T^{20} + 212089987460 T^{21} + 23298085122481 T^{24}$$)($$( 1 - 13 T^{2} )^{2}$$)($$( 1 - 13 T^{2} )^{2}$$)($$( 1 - 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 48 T^{2} + 1308 T^{4} - 24144 T^{6} + 351974 T^{8} - 4080336 T^{10} + 37357788 T^{12} - 231686832 T^{14} + 815730721 T^{16} )^{2}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 - 4 T + 27 T^{2} - 68 T^{3} + 351 T^{4} - 676 T^{5} + 2197 T^{6} )^{4}$$)($$( 1 + 4 T + 27 T^{2} + 68 T^{3} + 351 T^{4} + 676 T^{5} + 2197 T^{6} )^{4}$$)($$( 1 + 2 T^{2} + 169 T^{4} )^{4}$$)($$( 1 - 58 T^{2} + 1559 T^{4} - 25276 T^{6} + 263471 T^{8} - 1656538 T^{10} + 4826809 T^{12} )^{2}$$)($$( 1 - 58 T^{2} + 1559 T^{4} - 25276 T^{6} + 263471 T^{8} - 1656538 T^{10} + 4826809 T^{12} )^{2}$$)($$1 - 8 T + 32 T^{2} - 120 T^{3} + 446 T^{4} - 1560 T^{5} + 5408 T^{6} - 17576 T^{7} + 28561 T^{8}$$)($$1 - 8 T + 32 T^{2} - 120 T^{3} + 446 T^{4} - 1560 T^{5} + 5408 T^{6} - 17576 T^{7} + 28561 T^{8}$$)($$1 - 8 T + 8 T^{2} + 136 T^{3} - 368 T^{4} - 1768 T^{5} + 8968 T^{6} + 17576 T^{7} - 190400 T^{8} + 228488 T^{9} + 1515592 T^{10} - 3884296 T^{11} - 10510448 T^{12} + 50495848 T^{13} + 38614472 T^{14} - 501988136 T^{15} + 815730721 T^{16}$$)($$( 1 + 815730721 T^{16} )^{2}$$)
$17$ ($$1 - 6 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 + 6 T + 17 T^{2}$$)($$1 + 6 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 - 6 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 + 14 T^{2} + 289 T^{4}$$)($$1 + 14 T^{2} + 289 T^{4}$$)($$( 1 - 2 T + 17 T^{2} )^{2}$$)($$( 1 - 2 T + 17 T^{2} )^{2}$$)($$( 1 - 2 T + 17 T^{2} )^{4}$$)($$( 1 - 2 T + 17 T^{2} )^{4}$$)($$( 1 - 17 T^{2} )^{8}$$)($$( 1 - 10 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - 17 T^{2} )^{2}$$)($$( 1 - 17 T^{2} )^{2}$$)($$( 1 - 17 T^{2} )^{2}$$)($$( 1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4} )^{2}( 1 + 4 T + 6 T^{2} + 68 T^{3} + 289 T^{4} )^{2}$$)($$1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4}$$)($$1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4}$$)($$1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4}$$)($$1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4}$$)($$1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4}$$)($$1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4}$$)($$1 - 6 T + T^{2} - 6 T^{3} + 324 T^{4} - 102 T^{5} + 289 T^{6} - 29478 T^{7} + 83521 T^{8}$$)($$( 1 + T - 16 T^{2} + 17 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} )^{2}$$)($$1 - 6 T + T^{2} - 6 T^{3} + 324 T^{4} - 102 T^{5} + 289 T^{6} - 29478 T^{7} + 83521 T^{8}$$)($$( 1 - 17 T^{2} )^{4}$$)($$( 1 - 10 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 17 T^{2} )^{4}$$)($$( 1 - 48 T^{2} + 1372 T^{4} - 33104 T^{6} + 651526 T^{8} - 9567056 T^{10} + 114590812 T^{12} - 1158603312 T^{14} + 6975757441 T^{16} )^{2}$$)($$( 1 + 2 T + 17 T^{2} )^{2}$$)($$( 1 + 6 T + 17 T^{2} )^{2}$$)($$( 1 - 12 T + 108 T^{2} - 652 T^{3} + 3102 T^{4} - 11084 T^{5} + 31212 T^{6} - 58956 T^{7} + 83521 T^{8} )^{2}$$)($$( 1 + 4 T + 58 T^{2} + 140 T^{3} + 1383 T^{4} + 1648 T^{5} + 23228 T^{6} + 28016 T^{7} + 399687 T^{8} + 687820 T^{9} + 4844218 T^{10} + 5679428 T^{11} + 24137569 T^{12} )^{2}$$)($$1 + 9 T + 44 T^{2} + 153 T^{3} + 289 T^{4}$$)($$1 + 9 T + 44 T^{2} + 153 T^{3} + 289 T^{4}$$)($$( 1 - 9 T + 44 T^{2} - 153 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 3 T + 20 T^{2} + 51 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 46 T^{2} + 1137 T^{4} - 1392 T^{5} + 19214 T^{6} - 46992 T^{7} + 276452 T^{8} - 798864 T^{9} + 5552846 T^{10} - 6838896 T^{11} + 94963377 T^{12} + 1110328174 T^{14} + 6975757441 T^{16} )^{2}$$)($$( 1 - 9 T + 44 T^{2} - 153 T^{3} + 289 T^{4} )^{4}$$)($$( 1 + 9 T + 63 T^{2} + 324 T^{3} + 1521 T^{4} + 7443 T^{5} + 30350 T^{6} + 126531 T^{7} + 439569 T^{8} + 1591812 T^{9} + 5261823 T^{10} + 12778713 T^{11} + 24137569 T^{12} )^{2}$$)($$( 1 + 9 T + 63 T^{2} + 324 T^{3} + 1521 T^{4} + 7443 T^{5} + 30350 T^{6} + 126531 T^{7} + 439569 T^{8} + 1591812 T^{9} + 5261823 T^{10} + 12778713 T^{11} + 24137569 T^{12} )^{2}$$)($$( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} )^{4}$$)($$( 1 - 5 T - 9 T^{2} + 56 T^{3} + 13 T^{4} + 493 T^{5} - 4282 T^{6} + 8381 T^{7} + 3757 T^{8} + 275128 T^{9} - 751689 T^{10} - 7099285 T^{11} + 24137569 T^{12} )^{2}$$)($$( 1 - 5 T - 9 T^{2} + 56 T^{3} + 13 T^{4} + 493 T^{5} - 4282 T^{6} + 8381 T^{7} + 3757 T^{8} + 275128 T^{9} - 751689 T^{10} - 7099285 T^{11} + 24137569 T^{12} )^{2}$$)($$1 + 6 T + 5 T^{2} - 18 T^{3} + 60 T^{4} - 306 T^{5} + 1445 T^{6} + 29478 T^{7} + 83521 T^{8}$$)($$1 + 6 T + 5 T^{2} - 18 T^{3} + 60 T^{4} - 306 T^{5} + 1445 T^{6} + 29478 T^{7} + 83521 T^{8}$$)($$1 - 16 T + 128 T^{2} - 752 T^{3} + 4372 T^{4} - 25360 T^{5} + 128896 T^{6} - 560880 T^{7} + 2305638 T^{8} - 9534960 T^{9} + 37250944 T^{10} - 124593680 T^{11} + 365153812 T^{12} - 1067732464 T^{13} + 3089608832 T^{14} - 6565418768 T^{15} + 6975757441 T^{16}$$)($$( 1 + 289 T^{4} )^{8}$$)
$19$ ($$1 - 2 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 - 2 T + 19 T^{2}$$)($$1 + 8 T + 19 T^{2}$$)($$1 - 8 T + 19 T^{2}$$)($$1 - 6 T + 19 T^{2}$$)($$1 + 2 T + 19 T^{2}$$)($$1 + 2 T + 19 T^{2}$$)($$1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4}$$)($$1 + 2 T + 34 T^{2} + 38 T^{3} + 361 T^{4}$$)($$1 - 2 T^{2} + 361 T^{4}$$)($$1 - 2 T^{2} + 361 T^{4}$$)($$1 - 52 T^{2} + 1290 T^{4} - 18772 T^{6} + 130321 T^{8}$$)($$1 - 52 T^{2} + 1290 T^{4} - 18772 T^{6} + 130321 T^{8}$$)($$( 1 - 650 T^{4} + 130321 T^{8} )^{2}$$)($$( 1 - 20 T^{2} + 361 T^{4} )^{4}$$)($$( 1 + 2 T + 19 T^{2} )^{2}$$)($$( 1 + 19 T^{2} )^{2}$$)($$( 1 - 2 T + 19 T^{2} )^{2}$$)($$( 1 + 36 T^{2} + 1038 T^{4} + 12996 T^{6} + 130321 T^{8} )^{2}$$)($$1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4}$$)($$( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$$)($$( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$$)($$( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$$)($$( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$$)($$1 - 5 T + 6 T^{2} - 95 T^{3} + 361 T^{4}$$)($$1 + 10 T + 39 T^{2} + 230 T^{3} + 1460 T^{4} + 4370 T^{5} + 14079 T^{6} + 68590 T^{7} + 130321 T^{8}$$)($$1 + 25 T^{2} + 264 T^{4} + 9025 T^{6} + 130321 T^{8}$$)($$1 - 35 T^{2} + 864 T^{4} - 12635 T^{6} + 130321 T^{8}$$)($$1 - 10 T + 39 T^{2} - 230 T^{3} + 1460 T^{4} - 4370 T^{5} + 14079 T^{6} - 68590 T^{7} + 130321 T^{8}$$)($$( 1 + 361 T^{4} )^{2}$$)($$1 - 622 T^{4} + 130321 T^{8}$$)($$1 - 466 T^{4} + 130321 T^{8}$$)($$1 + 1120 T^{4} + 377476 T^{8} - 66979872 T^{12} - 74664260666 T^{16} - 8728883898912 T^{20} + 6410887442464516 T^{24} + 2478912709354100320 T^{28} +$$$$28\!\cdots\!81$$$$T^{32}$$)($$1 + 4 T + 8 T^{2} + 76 T^{3} + 361 T^{4}$$)($$1 - 8 T + 32 T^{2} - 152 T^{3} + 361 T^{4}$$)($$1 - 12 T + 72 T^{2} - 392 T^{3} + 1840 T^{4} - 6024 T^{5} + 16640 T^{6} - 25556 T^{7} - 36606 T^{8} - 485564 T^{9} + 6007040 T^{10} - 41318616 T^{11} + 239790640 T^{12} - 970630808 T^{13} + 3387303432 T^{14} - 10726460868 T^{15} + 16983563041 T^{16}$$)($$1 + 76 T^{3} - 254 T^{4} - 308 T^{5} + 2888 T^{6} + 3600 T^{7} + 64723 T^{8} + 135088 T^{9} + 1054584 T^{10} + 4406416 T^{11} - 13090364 T^{12} + 83721904 T^{13} + 380704824 T^{14} + 926568592 T^{15} + 8434766083 T^{16} + 8913956400 T^{17} + 135868504328 T^{18} - 275312495612 T^{19} - 4313825012414 T^{20} + 24524265031204 T^{21} + 2213314919066161 T^{24}$$)($$( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$$)($$( 1 - 8 T + 19 T^{2} )( 1 + T + 19 T^{2} )$$)($$1 - 31 T^{2} + 600 T^{4} - 11191 T^{6} + 130321 T^{8}$$)($$( 1 - 37 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} )$$)($$1 - 120 T^{2} + 7878 T^{4} - 351600 T^{6} + 11807689 T^{8} - 315489360 T^{10} + 7073822934 T^{12} - 141586703880 T^{14} + 2708298760020 T^{16} - 51112800100680 T^{18} + 921867678581814 T^{20} - 14842474887326160 T^{22} + 200536630500022249 T^{24} - 2155682896242831600 T^{26} + 17436494932403216358 T^{28} - 95880802293946094520 T^{30} +$$$$28\!\cdots\!81$$$$T^{32}$$)($$( 1 - 7 T^{2} - 312 T^{4} - 2527 T^{6} + 130321 T^{8} )^{2}$$)($$1 + 59 T^{2} + 1355 T^{4} + 29556 T^{6} + 923989 T^{8} + 19043905 T^{10} + 306916846 T^{12} + 6874849705 T^{14} + 120415170469 T^{16} + 1390488058836 T^{18} + 23012727920555 T^{20} + 361732909210259 T^{22} + 2213314919066161 T^{24}$$)($$1 + 59 T^{2} + 1355 T^{4} + 29556 T^{6} + 923989 T^{8} + 19043905 T^{10} + 306916846 T^{12} + 6874849705 T^{14} + 120415170469 T^{16} + 1390488058836 T^{18} + 23012727920555 T^{20} + 361732909210259 T^{22} + 2213314919066161 T^{24}$$)($$( 1 + 29 T^{2} + 480 T^{4} + 10469 T^{6} + 130321 T^{8} )^{2}$$)($$1 + 71 T^{2} + 2303 T^{4} + 66600 T^{6} + 1971397 T^{8} + 43852897 T^{10} + 813937318 T^{12} + 15830895817 T^{14} + 256914428437 T^{16} + 3133255674600 T^{18} + 39113145683423 T^{20} + 435305704303871 T^{22} + 2213314919066161 T^{24}$$)($$1 + 71 T^{2} + 2303 T^{4} + 66600 T^{6} + 1971397 T^{8} + 43852897 T^{10} + 813937318 T^{12} + 15830895817 T^{14} + 256914428437 T^{16} + 3133255674600 T^{18} + 39113145683423 T^{20} + 435305704303871 T^{22} + 2213314919066161 T^{24}$$)($$1 + 10 T + 41 T^{2} + 66 T^{3} - 40 T^{4} + 1254 T^{5} + 14801 T^{6} + 68590 T^{7} + 130321 T^{8}$$)($$1 - 8 T + 41 T^{2} - 168 T^{3} + 644 T^{4} - 3192 T^{5} + 14801 T^{6} - 54872 T^{7} + 130321 T^{8}$$)($$1 - 16 T + 136 T^{2} - 904 T^{3} + 5336 T^{4} - 28888 T^{5} + 140880 T^{6} - 633312 T^{7} + 2775648 T^{8} - 12032928 T^{9} + 50857680 T^{10} - 198142792 T^{11} + 695392856 T^{12} - 2238393496 T^{13} + 6398239816 T^{14} - 14301947824 T^{15} + 16983563041 T^{16}$$)($$( 1 + 16983563041 T^{16} )^{2}$$)
$23$ ($$1 + 23 T^{2}$$)($$1 + 8 T + 23 T^{2}$$)($$1 - 8 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 - 8 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 8 T + 23 T^{2}$$)($$( 1 + 4 T + 23 T^{2} )^{2}$$)($$( 1 - 4 T + 23 T^{2} )^{2}$$)($$( 1 + 23 T^{2} )^{2}$$)($$( 1 + 23 T^{2} )^{2}$$)($$( 1 + 34 T^{2} + 529 T^{4} )^{2}$$)($$( 1 + 34 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 10 T^{2} + 529 T^{4} )^{4}$$)($$( 1 - 23 T^{2} )^{8}$$)($$1 - 34 T^{2} + 529 T^{4}$$)($$( 1 - 8 T + 23 T^{2} )( 1 + 8 T + 23 T^{2} )$$)($$1 - 34 T^{2} + 529 T^{4}$$)($$( 1 - 20 T^{2} + 646 T^{4} - 10580 T^{6} + 279841 T^{8} )^{2}$$)($$1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4}$$)($$1 - 7 T + 26 T^{2} - 161 T^{3} + 529 T^{4}$$)($$1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4}$$)($$1 + 7 T + 26 T^{2} + 161 T^{3} + 529 T^{4}$$)($$1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4}$$)($$1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4}$$)($$1 + 2 T - 25 T^{2} - 34 T^{3} + 220 T^{4} - 782 T^{5} - 13225 T^{6} + 24334 T^{7} + 279841 T^{8}$$)($$1 - 39 T^{2} + 992 T^{4} - 20631 T^{6} + 279841 T^{8}$$)($$1 - 43 T^{2} + 1320 T^{4} - 22747 T^{6} + 279841 T^{8}$$)($$1 - 2 T - 25 T^{2} + 34 T^{3} + 220 T^{4} + 782 T^{5} - 13225 T^{6} - 24334 T^{7} + 279841 T^{8}$$)($$( 1 - 8 T + 23 T^{2} )^{4}$$)($$( 1 + 4 T + 23 T^{2} )^{4}$$)($$( 1 + 4 T + 23 T^{2} )^{4}$$)($$( 1 + 76 T^{2} + 16 T^{3} + 2442 T^{4} + 368 T^{5} + 40204 T^{6} + 279841 T^{8} )^{4}$$)($$1 - 10 T^{2} + 529 T^{4}$$)($$1 - 42 T^{2} + 529 T^{4}$$)($$1 - 104 T^{2} + 5156 T^{4} - 166136 T^{6} + 4169926 T^{8} - 87885944 T^{10} + 1442860196 T^{12} - 15395732456 T^{14} + 78310985281 T^{16}$$)($$1 - 140 T^{2} + 10730 T^{4} - 569180 T^{6} + 22853823 T^{8} - 724561688 T^{10} + 18511773292 T^{12} - 383293132952 T^{14} + 6395436682143 T^{16} - 84259067301020 T^{18} + 840276872065130 T^{20} - 5799711569910860 T^{22} + 21914624432020321 T^{24}$$)($$1 + 15 T + 98 T^{2} + 345 T^{3} + 529 T^{4}$$)($$1 - 15 T + 98 T^{2} - 345 T^{3} + 529 T^{4}$$)($$1 + 25 T^{2} + 96 T^{4} + 13225 T^{6} + 279841 T^{8}$$)($$1 + 45 T^{2} + 1496 T^{4} + 23805 T^{6} + 279841 T^{8}$$)($$1 + 136 T^{2} + 9622 T^{4} + 484880 T^{6} + 19684601 T^{8} + 683013040 T^{10} + 20851380422 T^{12} + 567119503160 T^{14} + 13792455622804 T^{16} + 300006217171640 T^{18} + 5835071148672902 T^{20} + 101110442574992560 T^{22} + 1541520499173357881 T^{24} + 20086886757274127120 T^{26} +$$$$21\!\cdots\!62$$$$T^{28} +$$$$15\!\cdots\!24$$$$T^{30} +$$$$61\!\cdots\!61$$$$T^{32}$$)($$( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} )^{2}$$)($$1 + 39 T^{2} + 831 T^{4} - 1256 T^{6} - 438147 T^{8} - 7839711 T^{10} - 183092394 T^{12} - 4147207119 T^{14} - 122611494627 T^{16} - 185933076584 T^{18} + 65076428768511 T^{20} + 1615633937332311 T^{22} + 21914624432020321 T^{24}$$)($$1 + 39 T^{2} + 831 T^{4} - 1256 T^{6} - 438147 T^{8} - 7839711 T^{10} - 183092394 T^{12} - 4147207119 T^{14} - 122611494627 T^{16} - 185933076584 T^{18} + 65076428768511 T^{20} + 1615633937332311 T^{22} + 21914624432020321 T^{24}$$)($$( 1 + 17 T^{2} - 240 T^{4} + 8993 T^{6} + 279841 T^{8} )^{2}$$)($$1 - 69 T^{2} + 2355 T^{4} - 46372 T^{6} + 388413 T^{8} + 12404457 T^{10} - 519993426 T^{12} + 6561957753 T^{14} + 108693882333 T^{16} - 6864720244708 T^{18} + 184422370336755 T^{20} - 2858429273741781 T^{22} + 21914624432020321 T^{24}$$)($$1 - 69 T^{2} + 2355 T^{4} - 46372 T^{6} + 388413 T^{8} + 12404457 T^{10} - 519993426 T^{12} + 6561957753 T^{14} + 108693882333 T^{16} - 6864720244708 T^{18} + 184422370336755 T^{20} - 2858429273741781 T^{22} + 21914624432020321 T^{24}$$)($$1 + 12 T + 105 T^{2} + 684 T^{3} + 3824 T^{4} + 15732 T^{5} + 55545 T^{6} + 146004 T^{7} + 279841 T^{8}$$)($$1 - 12 T + 105 T^{2} - 684 T^{3} + 3824 T^{4} - 15732 T^{5} + 55545 T^{6} - 146004 T^{7} + 279841 T^{8}$$)($$1 + 8 T + 28 T^{2} - 8 T^{3} - 440 T^{4} + 1720 T^{5} + 22996 T^{6} + 82376 T^{7} + 379598 T^{8} + 1894648 T^{9} + 12164884 T^{10} + 20927240 T^{11} - 123130040 T^{12} - 51490744 T^{13} + 4145004892 T^{14} + 27238603576 T^{15} + 78310985281 T^{16}$$)($$( 1 + 18 T^{2} + 529 T^{4} )^{4}( 1 - 734 T^{4} + 279841 T^{8} )^{2}$$)
$29$ ($$1 - 6 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 + 6 T + 29 T^{2}$$)($$1 + 6 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 - 6 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 + 38 T^{2} + 841 T^{4}$$)($$1 + 38 T^{2} + 841 T^{4}$$)($$1 + 6 T^{2} + 841 T^{4}$$)($$1 + 6 T^{2} + 841 T^{4}$$)($$1 - 84 T^{2} + 3254 T^{4} - 70644 T^{6} + 707281 T^{8}$$)($$1 - 84 T^{2} + 3254 T^{4} - 70644 T^{6} + 707281 T^{8}$$)($$( 1 - 29 T^{2} )^{8}$$)($$( 1 - 29 T^{2} )^{8}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 - 4 T + 30 T^{2} - 116 T^{3} + 841 T^{4} )^{4}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 + 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 4 T + 29 T^{2} )^{4}$$)($$( 1 + 8 T + 29 T^{2} )^{4}$$)($$( 1 + 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}( 1 - 54 T^{2} + 841 T^{4} )$$)($$( 1 - 4 T + 29 T^{2} )^{2}( 1 + 10 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 2 T^{2} + 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 128 T^{3} + 124 T^{4} - 5504 T^{5} + 8192 T^{6} - 56576 T^{7} - 904026 T^{8} - 1640704 T^{9} + 6889472 T^{10} - 134237056 T^{11} + 87702844 T^{12} + 2625427072 T^{13} + 500246412961 T^{16} )^{2}$$)($$( 1 - 10 T + 29 T^{2} )( 1 - 4 T + 29 T^{2} )$$)($$1 + 2 T + 2 T^{2} + 58 T^{3} + 841 T^{4}$$)($$1 + 16 T + 128 T^{2} + 688 T^{3} + 4924 T^{4} + 42960 T^{5} + 293760 T^{6} + 1412336 T^{7} + 6689574 T^{8} + 40957744 T^{9} + 247052160 T^{10} + 1047751440 T^{11} + 3482651644 T^{12} + 14111670512 T^{13} + 76137385088 T^{14} + 275998020944 T^{15} + 500246412961 T^{16}$$)($$1 + 4 T + 8 T^{2} - 100 T^{3} - 454 T^{4} + 2204 T^{5} + 17448 T^{6} - 18780 T^{7} - 48257 T^{8} + 1942504 T^{9} + 20384272 T^{10} + 8166104 T^{11} - 307305556 T^{12} + 236817016 T^{13} + 17143172752 T^{14} + 47375730056 T^{15} - 34131259217 T^{16} - 385199378220 T^{17} + 10378477304808 T^{18} + 38018727385036 T^{19} - 227111871484294 T^{20} - 1450714597586900 T^{21} + 3365657866401608 T^{22} + 48802039062823316 T^{23} + 353814783205469041 T^{24}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 + 29 T^{2} )^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{4}$$)($$( 1 + 4 T + 88 T^{2} + 332 T^{3} + 3534 T^{4} + 9628 T^{5} + 74008 T^{6} + 97556 T^{7} + 707281 T^{8} )^{4}$$)($$( 1 + 2 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 90 T^{2} + 4311 T^{4} - 143548 T^{6} + 3625551 T^{8} - 63655290 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 - 90 T^{2} + 4311 T^{4} - 143548 T^{6} + 3625551 T^{8} - 63655290 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 - 30 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 34 T^{2} + 39 T^{4} + 10036 T^{6} + 32799 T^{8} - 24047554 T^{10} + 594823321 T^{12} )^{2}$$)($$( 1 - 34 T^{2} + 39 T^{4} + 10036 T^{6} + 32799 T^{8} - 24047554 T^{10} + 594823321 T^{12} )^{2}$$)($$1 + 8 T + 32 T^{2} + 248 T^{3} + 1918 T^{4} + 7192 T^{5} + 26912 T^{6} + 195112 T^{7} + 707281 T^{8}$$)($$1 + 8 T + 32 T^{2} + 248 T^{3} + 1918 T^{4} + 7192 T^{5} + 26912 T^{6} + 195112 T^{7} + 707281 T^{8}$$)($$1 - 16 T + 144 T^{2} - 1072 T^{3} + 7074 T^{4} - 43088 T^{5} + 286736 T^{6} - 1826672 T^{7} + 10349122 T^{8} - 52973488 T^{9} + 241144976 T^{10} - 1050873232 T^{11} + 5003305794 T^{12} - 21987951728 T^{13} + 85654558224 T^{14} - 275998020944 T^{15} + 500246412961 T^{16}$$)($$( 1 + 1234 T^{4} + 707281 T^{8} )^{2}( 1 + 108194 T^{8} + 500246412961 T^{16} )$$)
$31$ ($$1 - 4 T + 31 T^{2}$$)($$1 - 4 T + 31 T^{2}$$)($$1 - 4 T + 31 T^{2}$$)($$1 - 8 T + 31 T^{2}$$)($$1 + 8 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 4 T + 46 T^{2} + 124 T^{3} + 961 T^{4}$$)($$1 - 4 T + 46 T^{2} - 124 T^{3} + 961 T^{4}$$)($$( 1 - 8 T + 31 T^{2} )^{2}$$)($$( 1 + 8 T + 31 T^{2} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{4}$$)($$( 1 - 4 T + 31 T^{2} )^{4}$$)($$( 1 + 31 T^{2} )^{8}$$)($$( 1 + 38 T^{2} + 961 T^{4} )^{4}$$)($$( 1 + 8 T + 31 T^{2} )^{2}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 - 8 T + 31 T^{2} )^{2}$$)($$( 1 + 60 T^{2} + 2310 T^{4} + 57660 T^{6} + 923521 T^{8} )^{2}$$)($$1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4}$$)($$1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4}$$)($$( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} )$$)($$1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4}$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$$)($$1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4}$$)($$1 - 14 T + 87 T^{2} - 658 T^{3} + 4844 T^{4} - 20398 T^{5} + 83607 T^{6} - 417074 T^{7} + 923521 T^{8}$$)($$1 - 55 T^{2} + 2064 T^{4} - 52855 T^{6} + 923521 T^{8}$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 + 59 T^{2} + 961 T^{4} )$$)($$1 + 14 T + 87 T^{2} + 658 T^{3} + 4844 T^{4} + 20398 T^{5} + 83607 T^{6} + 417074 T^{7} + 923521 T^{8}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 38 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 14 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 128 T^{2} + 8764 T^{4} + 408192 T^{6} + 14409414 T^{8} + 392272512 T^{10} + 8093738044 T^{12} + 113600471168 T^{14} + 852891037441 T^{16} )^{2}$$)($$( 1 - 8 T + 31 T^{2} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 + 8 T + 92 T^{2} + 560 T^{3} + 4270 T^{4} + 17360 T^{5} + 88412 T^{6} + 238328 T^{7} + 923521 T^{8} )^{2}$$)($$( 1 - 4 T + 170 T^{2} - 548 T^{3} + 12407 T^{4} - 31840 T^{5} + 502140 T^{6} - 987040 T^{7} + 11923127 T^{8} - 16325468 T^{9} + 156998570 T^{10} - 114516604 T^{11} + 887503681 T^{12} )^{2}$$)($$1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4}$$)($$1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4}$$)($$1 - 55 T^{2} + 2064 T^{4} - 52855 T^{6} + 923521 T^{8}$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 - 13 T^{2} + 961 T^{4} )$$)($$1 - 120 T^{2} + 6726 T^{4} - 224880 T^{6} + 4887337 T^{8} - 66674640 T^{10} + 1194526422 T^{12} - 84694288200 T^{14} + 3829419751284 T^{16} - 81391210960200 T^{18} + 1103170235771862 T^{20} - 59173988429349840 T^{22} + 4168365924253784617 T^{24} -$$$$18\!\cdots\!80$$$$T^{26} +$$$$52\!\cdots\!86$$$$T^{28} -$$$$90\!\cdots\!20$$$$T^{30} +$$$$72\!\cdots\!81$$$$T^{32}$$)($$( 1 - 46 T^{2} + 961 T^{4} )^{2}( 1 - 13 T^{2} + 961 T^{4} )^{2}$$)($$1 - 93 T^{2} + 3651 T^{4} - 89924 T^{6} + 2744541 T^{8} - 129365055 T^{10} + 4917318414 T^{12} - 124319817855 T^{14} + 2534641248861 T^{16} - 79807881010244 T^{18} + 3113905177697091 T^{20} - 76225430689214493 T^{22} + 787662783788549761 T^{24}$$)($$1 - 93 T^{2} + 3651 T^{4} - 89924 T^{6} + 2744541 T^{8} - 129365055 T^{10} + 4917318414 T^{12} - 124319817855 T^{14} + 2534641248861 T^{16} - 79807881010244 T^{18} + 3113905177697091 T^{20} - 76225430689214493 T^{22} + 787662783788549761 T^{24}$$)($$( 1 - 55 T^{2} + 2064 T^{4} - 52855 T^{6} + 923521 T^{8} )^{2}$$)($$1 - 49 T^{2} - 385 T^{4} + 42984 T^{6} + 686749 T^{8} - 32913335 T^{10} + 153430486 T^{12} - 31629714935 T^{14} + 634227123229 T^{16} + 38148458224104 T^{18} - 328363049414785 T^{20} - 40161786062059249 T^{22} + 787662783788549761 T^{24}$$)($$1 - 49 T^{2} - 385 T^{4} + 42984 T^{6} + 686749 T^{8} - 32913335 T^{10} + 153430486 T^{12} - 31629714935 T^{14} + 634227123229 T^{16} + 38148458224104 T^{18} - 328363049414785 T^{20} - 40161786062059249 T^{22} + 787662783788549761 T^{24}$$)($$1 - 4 T - 47 T^{2} - 4 T^{3} + 2512 T^{4} - 124 T^{5} - 45167 T^{6} - 119164 T^{7} + 923521 T^{8}$$)($$1 - 4 T - 47 T^{2} - 4 T^{3} + 2512 T^{4} - 124 T^{5} - 45167 T^{6} - 119164 T^{7} + 923521 T^{8}$$)($$1 + 8 T^{2} + 1804 T^{4} - 28680 T^{6} + 1332518 T^{8} - 27561480 T^{10} + 1666031884 T^{12} + 7100029448 T^{14} + 852891037441 T^{16}$$)($$( 1 - 31 T^{2} )^{16}$$)
$37$ ($$1 + 2 T + 37 T^{2}$$)($$1 + 10 T + 37 T^{2}$$)($$1 - 6 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 + 10 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 6 T + 37 T^{2}$$)($$1 + 54 T^{2} + 1369 T^{4}$$)($$1 + 54 T^{2} + 1369 T^{4}$$)($$1 - 10 T^{2} + 1369 T^{4}$$)($$1 - 10 T^{2} + 1369 T^{4}$$)($$1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8}$$)($$1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8}$$)($$( 1 - 37 T^{2} )^{8}$$)($$( 1 - 10 T + 37 T^{2} )^{4}( 1 + 10 T + 37 T^{2} )^{4}$$)($$( 1 - 2 T + 37 T^{2} )^{2}$$)($$( 1 + 6 T + 37 T^{2} )^{2}$$)($$( 1 - 2 T + 37 T^{2} )^{2}$$)($$( 1 - 4 T + 46 T^{2} - 148 T^{3} + 1369 T^{4} )^{4}$$)($$1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4}$$)($$1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4}$$)($$( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4}$$)($$( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4}$$)($$1 - 6 T - 15 T^{2} + 138 T^{3} - 100 T^{4} + 5106 T^{5} - 20535 T^{6} - 303918 T^{7} + 1874161 T^{8}$$)($$( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} )^{2}$$)($$1 - 6 T - 15 T^{2} + 138 T^{3} - 100 T^{4} + 5106 T^{5} - 20535 T^{6} - 303918 T^{7} + 1874161 T^{8}$$)($$( 1 + 6 T + 37 T^{2} )^{2}( 1 - 38 T^{2} + 1369 T^{4} )$$)($$( 1 - 12 T + 37 T^{2} )^{2}( 1 + 2 T + 37 T^{2} )^{2}$$)($$( 1 - 2 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2}$$)($$( 1 - 64 T^{3} + 2076 T^{4} + 5312 T^{5} + 2048 T^{6} + 110208 T^{7} + 2291366 T^{8} + 4077696 T^{9} + 2803712 T^{10} + 269068736 T^{11} + 3890758236 T^{12} - 4438013248 T^{13} + 3512479453921 T^{16} )^{2}$$)($$( 1 - 2 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} )$$)($$1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$1 - 16 T + 128 T^{2} - 656 T^{3} + 796 T^{4} + 3920 T^{5} + 50560 T^{6} - 1167536 T^{7} + 10588326 T^{8} - 43198832 T^{9} + 69216640 T^{10} + 198559760 T^{11} + 1491832156 T^{12} - 45489635792 T^{13} + 328412980352 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16}$$)($$1 + 20 T + 200 T^{2} + 1676 T^{3} + 13818 T^{4} + 99436 T^{5} + 629608 T^{6} + 3767444 T^{7} + 20529119 T^{8} + 106029960 T^{9} + 572847248 T^{10} + 3054508600 T^{11} + 16972881580 T^{12} + 113016818200 T^{13} + 784227882512 T^{14} + 5370735563880 T^{15} + 38474874194159 T^{16} + 261249474735908 T^{17} + 1615401872917672 T^{18} + 9439646134596988 T^{19} + 48535441094280378 T^{20} + 217815875896549052 T^{21} + 961716874483569800 T^{22} + 3558352435589208260 T^{23} + 6582952005840035281 T^{24}$$)($$1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4}$$)($$1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4}$$)($$( 1 - 7 T + 12 T^{2} - 259 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 4 T - 74 T^{2} + 88 T^{3} + 2945 T^{4} + 5624 T^{5} - 119866 T^{6} - 157628 T^{7} + 4940404 T^{8} - 5832236 T^{9} - 164096554 T^{10} + 284872472 T^{11} + 5519404145 T^{12} + 6102268216 T^{13} - 189863754266 T^{14} - 379727508532 T^{15} + 3512479453921 T^{16} )^{2}$$)($$( 1 - 61 T^{2} + 2352 T^{4} - 83509 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 3 T + 40 T^{2} - 111 T^{3} + 1369 T^{4} )^{6}$$)($$( 1 + 3 T + 40 T^{2} + 111 T^{3} + 1369 T^{4} )^{6}$$)($$( 1 + 67 T^{2} + 3120 T^{4} + 91723 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 27 T + 371 T^{2} - 3456 T^{3} + 23609 T^{4} - 133149 T^{5} + 760982 T^{6} - 4926513 T^{7} + 32320721 T^{8} - 175056768 T^{9} + 695313731 T^{10} - 1872286839 T^{11} + 2565726409 T^{12} )^{2}$$)($$( 1 + 27 T + 371 T^{2} + 3456 T^{3} + 23609 T^{4} + 133149 T^{5} + 760982 T^{6} + 4926513 T^{7} + 32320721 T^{8} + 175056768 T^{9} + 695313731 T^{10} + 1872286839 T^{11} + 2565726409 T^{12} )^{2}$$)($$( 1 - 2 T + 37 T^{2} )^{2}( 1 + 12 T + 107 T^{2} + 444 T^{3} + 1369 T^{4} )$$)($$( 1 - 12 T + 37 T^{2} )^{2}( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )$$)($$1 - 16 T + 1296 T^{3} - 4318 T^{4} - 56304 T^{5} + 373024 T^{6} + 1092016 T^{7} - 19195326 T^{8} + 40404592 T^{9} + 510669856 T^{10} - 2851966512 T^{11} - 8092627198 T^{12} + 89869768272 T^{13} - 1518910034128 T^{15} + 3512479453921 T^{16}$$)($$( 1 - 1294 T^{4} + 1874161 T^{8} )^{2}( 1 - 2073886 T^{8} + 3512479453921 T^{16} )$$)
$41$ ($$1 - 6 T + 41 T^{2}$$)($$1 + 10 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$1 - 2 T + 41 T^{2}$$)($$1 - 2 T + 41 T^{2}$$)($$1 + 10 T + 41 T^{2}$$)($$1 - 6 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$1 + 8 T + 78 T^{2} + 328 T^{3} + 1681 T^{4}$$)($$1 + 8 T + 78 T^{2} + 328 T^{3} + 1681 T^{4}$$)($$( 1 - 10 T + 41 T^{2} )^{2}$$)($$( 1 - 10 T + 41 T^{2} )^{2}$$)($$( 1 + 2 T + 41 T^{2} )^{4}$$)($$( 1 + 2 T + 41 T^{2} )^{4}$$)($$( 1 - 41 T^{2} )^{8}$$)($$( 1 + 14 T^{2} + 1681 T^{4} )^{4}$$)($$1 - 34 T^{2} + 1681 T^{4}$$)($$( 1 - 41 T^{2} )^{2}$$)($$1 - 34 T^{2} + 1681 T^{4}$$)($$( 1 - 4 T^{2} + 3238 T^{4} - 6724 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 + 10 T + 41 T^{2} )^{2}$$)($$( 1 + 2 T + 41 T^{2} )^{2}$$)($$( 1 - 6 T + 41 T^{2} )^{2}$$)($$( 1 + 2 T + 41 T^{2} )^{2}$$)($$( 1 - 6 T + 41 T^{2} )^{2}$$)($$( 1 + 10 T + 41 T^{2} )^{2}$$)($$( 1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 41 T^{2} )^{4}$$)($$( 1 - 4 T + 41 T^{2} )^{4}$$)($$( 1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 + 58 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 112 T^{2} + 5596 T^{4} + 139408 T^{6} + 2824390 T^{8} + 234344848 T^{10} + 15812958556 T^{12} + 532011674992 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$$)($$1 - 78 T^{2} + 1681 T^{4}$$)($$1 - 40 T^{2} + 3564 T^{4} - 174616 T^{6} + 7396902 T^{8} - 293529496 T^{10} + 10071012204 T^{12} - 190004169640 T^{14} + 7984925229121 T^{16}$$)($$1 - 372 T^{2} + 66450 T^{4} - 7559588 T^{6} + 611181263 T^{8} - 37032380712 T^{10} + 1725045735036 T^{12} - 62251431976872 T^{14} + 1727052176916143 T^{16} - 35908831019012708 T^{18} + 530598281475090450 T^{20} - 4993229263376693172 T^{22} + 22563490300366186081 T^{24}$$)($$1 - 34 T^{2} + 1681 T^{4}$$)($$1 - 34 T^{2} + 1681 T^{4}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 272 T^{2} + 34236 T^{4} - 2596336 T^{6} + 129652166 T^{8} - 4364440816 T^{10} + 96742753596 T^{12} - 1292028353552 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 + 26 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 162 T^{2} + 12879 T^{4} - 645388 T^{6} + 21649599 T^{8} - 457773282 T^{10} + 4750104241 T^{12} )^{2}$$)($$( 1 - 162 T^{2} + 12879 T^{4} - 645388 T^{6} + 21649599 T^{8} - 457773282 T^{10} + 4750104241 T^{12} )^{2}$$)($$( 1 - 4 T + 41 T^{2} )^{8}$$)($$( 1 + 4 T + 103 T^{2} + 316 T^{3} + 4223 T^{4} + 6724 T^{5} + 68921 T^{6} )^{4}$$)($$( 1 + 4 T + 103 T^{2} + 316 T^{3} + 4223 T^{4} + 6724 T^{5} + 68921 T^{6} )^{4}$$)($$1 - 60 T^{2} + 3494 T^{4} - 100860 T^{6} + 2825761 T^{8}$$)($$1 - 60 T^{2} + 3494 T^{4} - 100860 T^{6} + 2825761 T^{8}$$)($$1 - 4663486 T^{8} + 7984925229121 T^{16}$$)($$( 1 + 2825761 T^{8} )^{4}$$)
$43$ ($$1 - 8 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 - 8 T + 43 T^{2}$$)($$1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4}$$)($$1 + 4 T + 70 T^{2} + 172 T^{3} + 1849 T^{4}$$)($$1 - 82 T^{2} + 1849 T^{4}$$)($$1 - 82 T^{2} + 1849 T^{4}$$)($$1 - 140 T^{2} + 8406 T^{4} - 258860 T^{6} + 3418801 T^{8}$$)($$1 - 140 T^{2} + 8406 T^{4} - 258860 T^{6} + 3418801 T^{8}$$)($$( 1 + 43 T^{2} )^{8}$$)($$( 1 + 74 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$$)($$( 1 - 12 T + 43 T^{2} )( 1 + 12 T + 43 T^{2} )$$)($$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$$)($$( 1 - 100 T^{2} + 5686 T^{4} - 184900 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 4 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 + 4 T + 43 T^{2} )^{2}$$)($$( 1 + 4 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 26 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 12 T + 43 T^{2} )^{2}( 1 + 58 T^{2} + 1849 T^{4} )$$)($$( 1 - 10 T + 50 T^{2} - 430 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - 86 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 64 T^{3} + 2884 T^{4} + 6208 T^{5} + 2048 T^{6} + 149632 T^{7} + 4212966 T^{8} + 6434176 T^{9} + 3786752 T^{10} + 493579456 T^{11} + 9859822084 T^{12} - 9408540352 T^{13} + 11688200277601 T^{16} )^{2}$$)($$1 - 2 T + 2 T^{2} - 86 T^{3} + 1849 T^{4}$$)($$1 - 10 T + 50 T^{2} - 430 T^{3} + 1849 T^{4}$$)($$1 - 32 T + 512 T^{2} - 5632 T^{3} + 45796 T^{4} - 275136 T^{5} + 1216512 T^{6} - 3773920 T^{7} + 12376614 T^{8} - 162278560 T^{9} + 2249330688 T^{10} - 21875237952 T^{11} + 156567410596 T^{12} - 827951550976 T^{13} + 3236537881088 T^{14} - 8698195555424 T^{15} + 11688200277601 T^{16}$$)($$1 + 16 T + 128 T^{2} + 1456 T^{3} + 14962 T^{4} + 80464 T^{5} + 432256 T^{6} + 3242224 T^{7} + 554063 T^{8} - 149895008 T^{9} - 978748672 T^{10} - 10447834784 T^{11} - 101492614052 T^{12} - 449256895712 T^{13} - 1809706294528 T^{14} - 11917702401056 T^{15} + 1894231138463 T^{16} + 476634302097232 T^{17} + 2732447106108544 T^{18} + 21871612724113648 T^{19} + 174878852553466162 T^{20} + 731774842980043408 T^{21} + 2766269736100383872 T^{22} + 14868699831539563312 T^{23} + 39959630797262576401 T^{24}$$)($$1 - 74 T^{2} + 1849 T^{4}$$)($$1 - 74 T^{2} + 1849 T^{4}$$)($$( 1 - 2 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 82 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 152 T^{2} + 8604 T^{4} - 204136 T^{6} + 3083174 T^{8} - 377447464 T^{10} + 29415363804 T^{12} - 960847183448 T^{14} + 11688200277601 T^{16} )^{2}$$)($$( 1 + 43 T^{2} )^{8}$$)($$( 1 + 38 T^{2} + 1849 T^{4} )^{6}$$)($$( 1 + 38 T^{2} + 1849 T^{4} )^{6}$$)($$( 1 + 14 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 198 T^{2} + 18231 T^{4} - 994612 T^{6} + 33709119 T^{8} - 676922598 T^{10} + 6321363049 T^{12} )^{2}$$)($$( 1 - 198 T^{2} + 18231 T^{4} - 994612 T^{6} + 33709119 T^{8} - 676922598 T^{10} + 6321363049 T^{12} )^{2}$$)($$1 + 12 T + 72 T^{2} + 444 T^{3} + 2702 T^{4} + 19092 T^{5} + 133128 T^{6} + 954084 T^{7} + 3418801 T^{8}$$)($$1 + 12 T + 72 T^{2} + 444 T^{3} + 2702 T^{4} + 19092 T^{5} + 133128 T^{6} + 954084 T^{7} + 3418801 T^{8}$$)($$1 - 24 T + 268 T^{2} - 1800 T^{3} + 8166 T^{4} - 40200 T^{5} + 466732 T^{6} - 5606808 T^{7} + 45366722 T^{8} - 241092744 T^{9} + 862987468 T^{10} - 3196181400 T^{11} + 27917928966 T^{12} - 264615197400 T^{13} + 1694125297132 T^{14} - 6523646666568 T^{15} + 11688200277601 T^{16}$$)($$( 1 + 58 T^{2} + 1849 T^{4} )^{4}( 1 - 6726046 T^{8} + 11688200277601 T^{16} )$$)
$47$ ($$1 - 12 T + 47 T^{2}$$)($$1 + 4 T + 47 T^{2}$$)($$1 + 4 T + 47 T^{2}$$)($$1 + 8 T + 47 T^{2}$$)($$1 - 8 T + 47 T^{2}$$)($$1 - 4 T + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 - 4 T + 47 T^{2}$$)($$1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4}$$)($$1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4}$$)($$( 1 + 8 T + 47 T^{2} )^{2}$$)($$( 1 - 8 T + 47 T^{2} )^{2}$$)($$( 1 - 8 T + 62 T^{2} - 376 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 + 8 T + 62 T^{2} + 376 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 + 47 T^{2} )^{8}$$)($$( 1 + 70 T^{2} + 2209 T^{4} )^{4}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 124 T^{2} + 7750 T^{4} + 273916 T^{6} + 4879681 T^{8} )^{2}$$)($$1 - T - 46 T^{2} - 47 T^{3} + 2209 T^{4}$$)($$1 + 5 T - 22 T^{2} + 235 T^{3} + 2209 T^{4}$$)($$1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4}$$)($$1 - 5 T - 22 T^{2} - 235 T^{3} + 2209 T^{4}$$)($$1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4}$$)($$1 + T - 46 T^{2} + 47 T^{3} + 2209 T^{4}$$)($$1 - 18 T + 151 T^{2} - 1422 T^{3} + 12492 T^{4} - 66834 T^{5} + 333559 T^{6} - 1868814 T^{7} + 4879681 T^{8}$$)($$1 - 87 T^{2} + 5360 T^{4} - 192183 T^{6} + 4879681 T^{8}$$)($$1 - 19 T^{2} - 1848 T^{4} - 41971 T^{6} + 4879681 T^{8}$$)($$1 + 18 T + 151 T^{2} + 1422 T^{3} + 12492 T^{4} + 66834 T^{5} + 333559 T^{6} + 1868814 T^{7} + 4879681 T^{8}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 70 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 46 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 64 T^{2} + 6460 T^{4} + 424256 T^{6} + 18837830 T^{8} + 937181504 T^{10} + 31522739260 T^{12} + 689869781056 T^{14} + 23811286661761 T^{16} )^{2}$$)($$( 1 - 12 T + 47 T^{2} )^{2}$$)($$( 1 - 8 T + 47 T^{2} )^{2}$$)($$( 1 + 12 T + 180 T^{2} + 1460 T^{3} + 12126 T^{4} + 68620 T^{5} + 397620 T^{6} + 1245876 T^{7} + 4879681 T^{8} )^{2}$$)($$( 1 + 8 T + 178 T^{2} + 848 T^{3} + 12375 T^{4} + 40136 T^{5} + 604268 T^{6} + 1886392 T^{7} + 27336375 T^{8} + 88041904 T^{9} + 868583218 T^{10} + 1834760056 T^{11} + 10779215329 T^{12} )^{2}$$)($$1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4}$$)($$1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4}$$)($$1 - 31 T^{2} - 1248 T^{4} - 68479 T^{6} + 4879681 T^{8}$$)($$1 - 19 T^{2} - 1848 T^{4} - 41971 T^{6} + 4879681 T^{8}$$)($$1 - 200 T^{2} + 18934 T^{4} - 1138000 T^{6} + 52923737 T^{8} - 2454592400 T^{10} + 135007848038 T^{12} - 7743351520600 T^{14} + 394816080594964 T^{16} - 17105063509005400 T^{18} + 658795230921915878 T^{20} - 26458580024526899600 T^{22} +$$$$12\!\cdots\!57$$$$T^{24} -$$$$59\!\cdots\!00$$$$T^{26} +$$$$21\!\cdots\!94$$$$T^{28} -$$$$51\!\cdots\!00$$$$T^{30} +$$$$56\!\cdots\!21$$$$T^{32}$$)($$( 1 - 67 T^{2} + 2280 T^{4} - 148003 T^{6} + 4879681 T^{8} )^{2}$$)($$1 - 45 T^{2} - 4221 T^{4} + 93884 T^{6} + 16778637 T^{8} - 148799727 T^{10} - 39353945682 T^{12} - 328698596943 T^{14} + 81874396174797 T^{16} + 1011995851947836 T^{18} - 100507440999293181 T^{20} - 2366960950612352205 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 45 T^{2} - 4221 T^{4} + 93884 T^{6} + 16778637 T^{8} - 148799727 T^{10} - 39353945682 T^{12} - 328698596943 T^{14} + 81874396174797 T^{16} + 1011995851947836 T^{18} - 100507440999293181 T^{20} - 2366960950612352205 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$( 1 - 87 T^{2} + 5360 T^{4} - 192183 T^{6} + 4879681 T^{8} )^{2}$$)($$1 - 169 T^{2} + 16399 T^{4} - 846968 T^{6} + 18937741 T^{8} + 907652705 T^{10} - 79489021354 T^{12} + 2005004825345 T^{14} + 92410134940621 T^{16} - 9129650448772472 T^{18} + 390481289966218639 T^{20} - 8889253347855278281 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 169 T^{2} + 16399 T^{4} - 846968 T^{6} + 18937741 T^{8} + 907652705 T^{10} - 79489021354 T^{12} + 2005004825345 T^{14} + 92410134940621 T^{16} - 9129650448772472 T^{18} + 390481289966218639 T^{20} - 8889253347855278281 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 12 T + 17 T^{2} - 396 T^{3} + 7152 T^{4} - 18612 T^{5} + 37553 T^{6} - 1245876 T^{7} + 4879681 T^{8}$$)($$1 - 12 T + 17 T^{2} - 396 T^{3} + 7152 T^{4} - 18612 T^{5} + 37553 T^{6} - 1245876 T^{7} + 4879681 T^{8}$$)($$1 + 16 T + 128 T^{2} + 752 T^{3} + 5652 T^{4} + 49072 T^{5} + 344448 T^{6} + 1319760 T^{7} + 3759718 T^{8} + 62028720 T^{9} + 760885632 T^{10} + 5094802256 T^{11} + 27579957012 T^{12} + 172467445264 T^{13} + 1379739562112 T^{14} + 8105969927408 T^{15} + 23811286661761 T^{16}$$)($$( 1 + 2209 T^{4} )^{8}$$)
$53$ ($$1 + 6 T + 53 T^{2}$$)($$1 - 2 T + 53 T^{2}$$)($$1 - 10 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 2 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 10 T + 53 T^{2}$$)($$( 1 - 10 T + 53 T^{2} )^{2}$$)($$( 1 - 10 T + 53 T^{2} )^{2}$$)($$( 1 - 53 T^{2} )^{2}$$)($$( 1 - 53 T^{2} )^{2}$$)($$( 1 + 38 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 53 T^{2} )^{8}$$)($$( 1 + 86 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 + 6 T + 53 T^{2} )^{2}$$)($$( 1 - 10 T + 53 T^{2} )^{2}$$)($$( 1 + 6 T + 53 T^{2} )^{2}$$)($$( 1 - 2 T + 53 T^{2} )^{8}$$)($$1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4}$$)($$1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4}$$)($$1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4}$$)($$1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4}$$)($$1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4}$$)($$1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4}$$)($$( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 7 T - 4 T^{2} - 371 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + 10 T + 53 T^{2} )^{2}( 1 - 6 T^{2} + 2809 T^{4} )$$)($$( 1 + 2 T + 2 T^{2} + 106 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 6 T + 18 T^{2} - 318 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 128 T^{3} - 2788 T^{4} + 6528 T^{5} + 8192 T^{6} + 165120 T^{7} + 1283878 T^{8} + 8751360 T^{9} + 23011328 T^{10} + 971869056 T^{11} - 21998661028 T^{12} - 53529023104 T^{13} + 62259690411361 T^{16} )^{2}$$)($$1 + 2 T + 2 T^{2} + 106 T^{3} + 2809 T^{4}$$)($$1 - 14 T + 98 T^{2} - 742 T^{3} + 2809 T^{4}$$)($$1 + 8 T + 32 T^{2} + 408 T^{3} + 7260 T^{4} + 38376 T^{5} + 157920 T^{6} + 2094520 T^{7} + 27778214 T^{8} + 111009560 T^{9} + 443597280 T^{10} + 5713303752 T^{11} + 57284892060 T^{12} + 170623761144 T^{13} + 709259556128 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16}$$)($$1 - 4 T + 8 T^{2} + 36 T^{3} + 186 T^{4} - 11260 T^{5} + 44200 T^{6} - 717636 T^{7} - 3727201 T^{8} + 56691992 T^{9} - 167612656 T^{10} + 731526824 T^{11} + 19642794028 T^{12} + 38770921672 T^{13} - 470823950704 T^{14} + 8440133692984 T^{15} - 29409408673681 T^{16} - 300112140814548 T^{17} + 979664761901800 T^{18} - 13227247434564620 T^{19} + 11580302416513146 T^{20} + 118791489304876788 T^{21} + 1399099762924104392 T^{22} - 37076143717488766388 T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4}$$)($$1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4}$$)($$( 1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 4 T - 106 T^{2} + 984 T^{3} + 4577 T^{4} - 69896 T^{5} + 172774 T^{6} + 2132484 T^{7} - 19431692 T^{8} + 113021652 T^{9} + 485322166 T^{10} - 10405906792 T^{11} + 36114731537 T^{12} + 411504365112 T^{13} - 2349422279674 T^{14} - 4698844559348 T^{15} + 62259690411361 T^{16} )^{2}$$)($$( 1 + 91 T^{2} + 5472 T^{4} + 255619 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 + 15 T + 195 T^{2} + 1800 T^{3} + 15585 T^{4} + 138945 T^{5} + 1013798 T^{6} + 7364085 T^{7} + 43778265 T^{8} + 267978600 T^{9} + 1538643795 T^{10} + 6272932395 T^{11} + 22164361129 T^{12} )^{2}$$)($$( 1 - 15 T + 195 T^{2} - 1800 T^{3} + 15585 T^{4} - 138945 T^{5} + 1013798 T^{6} - 7364085 T^{7} + 43778265 T^{8} - 267978600 T^{9} + 1538643795 T^{10} - 6272932395 T^{11} + 22164361129 T^{12} )^{2}$$)($$( 1 + 43 T^{2} - 960 T^{4} + 120787 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 - 9 T + 80 T^{2} - 477 T^{3} + 2809 T^{4} )^{6}$$)($$( 1 + 9 T + 80 T^{2} + 477 T^{3} + 2809 T^{4} )^{6}$$)($$1 - 20 T + 101 T^{2} + 1072 T^{3} - 16076 T^{4} + 56816 T^{5} + 283709 T^{6} - 2977540 T^{7} + 7890481 T^{8}$$)($$1 - 2 T + 101 T^{2} + 226 T^{3} + 4912 T^{4} + 11978 T^{5} + 283709 T^{6} - 297754 T^{7} + 7890481 T^{8}$$)($$1 - 16 T + 132 T^{2} - 1472 T^{3} + 9158 T^{4} + 1664 T^{5} - 123132 T^{6} + 2884752 T^{7} - 41405566 T^{8} + 152891856 T^{9} - 345877788 T^{10} + 247731328 T^{11} + 72261024998 T^{12} - 615583765696 T^{13} + 2925695669028 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16}$$)($$( 1 - 6 T^{2} + 2809 T^{4} )^{4}( 1 + 15377762 T^{8} + 62259690411361 T^{16} )$$)
$59$ ($$1 + 6 T + 59 T^{2}$$)($$1 - 10 T + 59 T^{2}$$)($$1 + 6 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 10 T + 59 T^{2}$$)($$1 - 6 T + 59 T^{2}$$)($$1 - 6 T + 59 T^{2}$$)($$1 + 14 T + 162 T^{2} + 826 T^{3} + 3481 T^{4}$$)($$1 - 14 T + 162 T^{2} - 826 T^{3} + 3481 T^{4}$$)($$1 - 18 T^{2} + 3481 T^{4}$$)($$1 - 18 T^{2} + 3481 T^{4}$$)($$1 - 84 T^{2} + 8426 T^{4} - 292404 T^{6} + 12117361 T^{8}$$)($$1 - 84 T^{2} + 8426 T^{4} - 292404 T^{6} + 12117361 T^{8}$$)($$( 1 - 1130 T^{4} + 12117361 T^{8} )^{2}$$)($$( 1 - 68 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 + 6 T + 59 T^{2} )^{2}$$)($$( 1 + 59 T^{2} )^{2}$$)($$( 1 - 6 T + 59 T^{2} )^{2}$$)($$( 1 + 132 T^{2} + 10926 T^{4} + 459492 T^{6} + 12117361 T^{8} )^{2}$$)($$1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4}$$)($$1 - 15 T + 166 T^{2} - 885 T^{3} + 3481 T^{4}$$)($$1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4}$$)($$1 + 15 T + 166 T^{2} + 885 T^{3} + 3481 T^{4}$$)($$1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4}$$)($$1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4}$$)($$1 + 2 T - 17 T^{2} - 194 T^{3} - 3276 T^{4} - 11446 T^{5} - 59177 T^{6} + 410758 T^{7} + 12117361 T^{8}$$)($$1 - 111 T^{2} + 8840 T^{4} - 386391 T^{6} + 12117361 T^{8}$$)($$1 - 115 T^{2} + 9744 T^{4} - 400315 T^{6} + 12117361 T^{8}$$)($$1 - 2 T - 17 T^{2} + 194 T^{3} - 3276 T^{4} + 11446 T^{5} - 59177 T^{6} - 410758 T^{7} + 12117361 T^{8}$$)($$( 1 + 3481 T^{4} )^{2}$$)($$1 - 2062 T^{4} + 12117361 T^{8}$$)($$1 - 5938 T^{4} + 12117361 T^{8}$$)($$1 + 13536 T^{4} + 105796996 T^{8} + 565374993760 T^{12} + 2271869649992518 T^{16} + 6850852899762667360 T^{20} +$$$$15\!\cdots\!16$$$$T^{24} +$$$$24\!\cdots\!16$$$$T^{28} +$$$$21\!\cdots\!41$$$$T^{32}$$)($$1 + 16 T + 128 T^{2} + 944 T^{3} + 3481 T^{4}$$)($$1 + 4 T + 8 T^{2} + 236 T^{3} + 3481 T^{4}$$)($$1 - 28 T + 392 T^{2} - 4480 T^{3} + 42352 T^{4} - 296688 T^{5} + 1740480 T^{6} - 9230564 T^{7} + 53169090 T^{8} - 544603276 T^{9} + 6058610880 T^{10} - 60933484752 T^{11} + 513194473072 T^{12} - 3202860859520 T^{13} + 16534769187272 T^{14} - 69682241574932 T^{15} + 146830437604321 T^{16}$$)($$1 - 16 T + 128 T^{2} - 1068 T^{3} + 9666 T^{4} - 81916 T^{5} + 643720 T^{6} - 5865072 T^{7} + 56589491 T^{8} - 406593184 T^{9} + 2658851000 T^{10} - 18843939424 T^{11} + 133096304068 T^{12} - 1111792426016 T^{13} + 9255460331000 T^{14} - 83505701536736 T^{15} + 685715291253251 T^{16} - 4193082488184528 T^{17} + 27152453115384520 T^{18} - 203860375030433204 T^{19} + 1419263009883366786 T^{20} - 9252079534323474852 T^{21} + 65422944422482099328 T^{22} -$$$$48\!\cdots\!44$$$$T^{23} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4}$$)($$1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4}$$)($$1 - 55 T^{2} - 456 T^{4} - 191455 T^{6} + 12117361 T^{8}$$)($$1 - 91 T^{2} + 4800 T^{4} - 316771 T^{6} + 12117361 T^{8}$$)($$1 - 216 T^{2} + 25302 T^{4} - 1976880 T^{6} + 99819481 T^{8} - 1826074704 T^{10} - 264226437882 T^{12} + 36647033732760 T^{14} - 2664686254766220 T^{16} + 127568324423737560 T^{18} - 3201727133560269402 T^{20} - 77024805483051117264 T^{22} +$$$$14\!\cdots\!01$$$$T^{24} -$$$$10\!\cdots\!80$$$$T^{26} +$$$$45\!\cdots\!62$$$$T^{28} -$$$$13\!\cdots\!76$$$$T^{30} +$$$$21\!\cdots\!41$$$$T^{32}$$)($$( 1 + 113 T^{2} + 9288 T^{4} + 393353 T^{6} + 12117361 T^{8} )^{2}$$)($$1 + 239 T^{2} + 29975 T^{4} + 2607360 T^{6} + 178686277 T^{8} + 10397819233 T^{10} + 591673915894 T^{12} + 36194808750073 T^{14} + 2165206124154997 T^{16} + 109979836194197760 T^{18} + 4401242367189521975 T^{20} +$$$$12\!\cdots\!39$$$$T^{22} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 + 239 T^{2} + 29975 T^{4} + 2607360 T^{6} + 178686277 T^{8} + 10397819233 T^{10} + 591673915894 T^{12} + 36194808750073 T^{14} + 2165206124154997 T^{16} + 109979836194197760 T^{18} + 4401242367189521975 T^{20} +$$$$12\!\cdots\!39$$$$T^{22} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$( 1 + 93 T^{2} + 5168 T^{4} + 323733 T^{6} + 12117361 T^{8} )^{2}$$)($$1 + 163 T^{2} + 8947 T^{4} + 470588 T^{6} + 53446165 T^{8} + 3139820689 T^{10} + 123601379870 T^{12} + 10929715818409 T^{14} + 647626475370565 T^{16} + 19849652965050908 T^{18} + 1313691925245859987 T^{20} + 83312030788004548363 T^{22} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 + 163 T^{2} + 8947 T^{4} + 470588 T^{6} + 53446165 T^{8} + 3139820689 T^{10} + 123601379870 T^{12} + 10929715818409 T^{14} + 647626475370565 T^{16} + 19849652965050908 T^{18} + 1313691925245859987 T^{20} + 83312030788004548363 T^{22} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 - 26 T + 365 T^{2} - 3506 T^{3} + 28624 T^{4} - 206854 T^{5} + 1270565 T^{6} - 5339854 T^{7} + 12117361 T^{8}$$)($$1 + 28 T + 365 T^{2} + 3028 T^{3} + 22252 T^{4} + 178652 T^{5} + 1270565 T^{6} + 5750612 T^{7} + 12117361 T^{8}$$)($$1 + 88 T^{2} - 792 T^{3} + 6744 T^{4} - 44344 T^{5} + 587344 T^{6} - 4859600 T^{7} + 17115104 T^{8} - 286716400 T^{9} + 2044544464 T^{10} - 9107326376 T^{11} + 81719482584 T^{12} - 566220044808 T^{13} + 3711886960408 T^{14} + 146830437604321 T^{16}$$)($$( 1 + 146830437604321 T^{16} )^{2}$$)
$61$ ($$1 + 8 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 + 4 T + 61 T^{2}$$)($$1 - 6 T + 61 T^{2}$$)($$1 - 6 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 + 8 T + 61 T^{2}$$)($$1 + 4 T + 61 T^{2}$$)($$1 + 18 T + 198 T^{2} + 1098 T^{3} + 3721 T^{4}$$)($$1 + 18 T + 198 T^{2} + 1098 T^{3} + 3721 T^{4}$$)($$1 - 106 T^{2} + 3721 T^{4}$$)($$1 - 106 T^{2} + 3721 T^{4}$$)($$1 + 52 T^{2} + 7530 T^{4} + 193492 T^{6} + 13845841 T^{8}$$)($$1 + 52 T^{2} + 7530 T^{4} + 193492 T^{6} + 13845841 T^{8}$$)($$( 1 - 7370 T^{4} + 13845841 T^{8} )^{2}$$)($$( 1 + 104 T^{2} + 3721 T^{4} )^{4}$$)($$1 - 110 T^{2} + 3721 T^{4}$$)($$( 1 - 61 T^{2} )^{2}$$)($$1 - 110 T^{2} + 3721 T^{4}$$)($$( 1 - 236 T^{2} + 21358 T^{4} - 878156 T^{6} + 13845841 T^{8} )^{2}$$)($$1 - 3 T - 52 T^{2} - 183 T^{3} + 3721 T^{4}$$)($$1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4}$$)($$( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} )$$)($$1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4}$$)($$( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} )$$)($$1 - 3 T - 52 T^{2} - 183 T^{3} + 3721 T^{4}$$)($$1 - 6 T - 63 T^{2} + 138 T^{3} + 3884 T^{4} + 8418 T^{5} - 234423 T^{6} - 1361886 T^{7} + 13845841 T^{8}$$)($$( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 11 T + 60 T^{2} - 671 T^{3} + 3721 T^{4} )^{2}$$)($$1 - 6 T - 63 T^{2} + 138 T^{3} + 3884 T^{4} + 8418 T^{5} - 234423 T^{6} - 1361886 T^{7} + 13845841 T^{8}$$)($$( 1 + 3721 T^{4} )^{2}$$)($$1 + 4658 T^{4} + 13845841 T^{8}$$)($$1 - 2818 T^{4} + 13845841 T^{8}$$)($$1 - 5056 T^{4} + 23160132 T^{8} - 86679311488 T^{12} + 177647957367366 T^{16} - 1200147964852321408 T^{20} +$$$$44\!\cdots\!92$$$$T^{24} -$$$$13\!\cdots\!76$$$$T^{28} +$$$$36\!\cdots\!61$$$$T^{32}$$)($$1 - 12 T + 72 T^{2} - 732 T^{3} + 3721 T^{4}$$)($$1 - 12 T + 72 T^{2} - 732 T^{3} + 3721 T^{4}$$)($$1 - 28 T + 392 T^{2} - 5048 T^{3} + 67840 T^{4} - 727768 T^{5} + 6525376 T^{6} - 59801612 T^{7} + 515000994 T^{8} - 3647898332 T^{9} + 24280924096 T^{10} - 165189508408 T^{11} + 939301853440 T^{12} - 4263522127448 T^{13} + 20195986749512 T^{14} - 87996799408588 T^{15} + 191707312997281 T^{16}$$)($$1 + 20 T + 200 T^{2} + 1392 T^{3} + 16706 T^{4} + 219096 T^{5} + 2009552 T^{6} + 12282692 T^{7} + 94261875 T^{8} + 1070054824 T^{9} + 10076181640 T^{10} + 58881056712 T^{11} + 342120057220 T^{12} + 3591744459432 T^{13} + 37493471882440 T^{14} + 242882114006344 T^{15} + 1305134933611875 T^{16} + 10373916229522292 T^{17} + 103532871337896272 T^{18} + 688562384400857016 T^{19} + 3202662370932576386 T^{20} + 16278251361225124272 T^{21} +$$$$14\!\cdots\!00$$$$T^{22} +$$$$87\!\cdots\!20$$$$T^{23} +$$$$26\!\cdots\!21$$$$T^{24}$$)($$( 1 + T + 61 T^{2} )( 1 + 14 T + 61 T^{2} )$$)($$( 1 + T + 61 T^{2} )( 1 + 14 T + 61 T^{2} )$$)($$( 1 + 3 T + 64 T^{2} + 183 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 9 T + 88 T^{2} - 549 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 12 T + 182 T^{2} - 1608 T^{3} + 12321 T^{4} - 99864 T^{5} + 781126 T^{6} - 6487236 T^{7} + 58967444 T^{8} - 395721396 T^{9} + 2906569846 T^{10} - 22667230584 T^{11} + 170594606961 T^{12} - 1358110852008 T^{13} + 9376708133702 T^{14} - 37712914032252 T^{15} + 191707312997281 T^{16} )^{2}$$)($$( 1 - 77 T^{2} + 2208 T^{4} - 286517 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 + 17 T + 79 T^{2} + 88 T^{3} + 1693 T^{4} - 6673 T^{5} - 280426 T^{6} - 407053 T^{7} + 6299653 T^{8} + 19974328 T^{9} + 1093821439 T^{10} + 14358137117 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 - 17 T + 79 T^{2} - 88 T^{3} + 1693 T^{4} + 6673 T^{5} - 280426 T^{6} + 407053 T^{7} + 6299653 T^{8} - 19974328 T^{9} + 1093821439 T^{10} - 14358137117 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 + 115 T^{2} + 9504 T^{4} + 427915 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 - 15 T + 179 T^{2} - 1560 T^{3} + 9977 T^{4} - 58689 T^{5} + 330806 T^{6} - 3580029 T^{7} + 37124417 T^{8} - 354090360 T^{9} + 2478405539 T^{10} - 12668944515 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 + 15 T + 179 T^{2} + 1560 T^{3} + 9977 T^{4} + 58689 T^{5} + 330806 T^{6} + 3580029 T^{7} + 37124417 T^{8} + 354090360 T^{9} + 2478405539 T^{10} + 12668944515 T^{11} + 51520374361 T^{12} )^{2}$$)($$1 - 4 T + 53 T^{2} - 624 T^{3} + 1892 T^{4} - 38064 T^{5} + 197213 T^{6} - 907924 T^{7} + 13845841 T^{8}$$)($$1 + 14 T + 53 T^{2} - 606 T^{3} - 9088 T^{4} - 36966 T^{5} + 197213 T^{6} + 3177734 T^{7} + 13845841 T^{8}$$)($$1 + 24 T + 344 T^{2} + 4152 T^{3} + 39472 T^{4} + 312200 T^{5} + 2191336 T^{6} + 14408344 T^{7} + 104168512 T^{8} + 878908984 T^{9} + 8153961256 T^{10} + 70863468200 T^{11} + 546523035952 T^{12} + 3506763841752 T^{13} + 17723008780184 T^{14} + 75425828064504 T^{15} + 191707312997281 T^{16}$$)($$( 1 + 191707312997281 T^{16} )^{2}$$)
$67$ ($$1 + 4 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 - 12 T + 67 T^{2}$$)($$1 - 4 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 - 4 T + 67 T^{2}$$)($$1 + 12 T + 67 T^{2}$$)($$( 1 - 4 T + 67 T^{2} )^{2}$$)($$( 1 + 4 T + 67 T^{2} )^{2}$$)($$1 - 130 T^{2} + 4489 T^{4}$$)($$1 - 130 T^{2} + 4489 T^{4}$$)($$( 1 - 70 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 67 T^{2} )^{8}$$)($$( 1 + 26 T^{2} + 4489 T^{4} )^{4}$$)($$( 1 - 16 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} )$$)($$( 1 - 4 T + 67 T^{2} )( 1 + 4 T + 67 T^{2} )$$)($$( 1 - 16 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} )$$)($$( 1 - 4 T^{2} - 3818 T^{4} - 17956 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} )$$)($$1 + 9 T + 14 T^{2} + 603 T^{3} + 4489 T^{4}$$)($$1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4}$$)($$1 - 9 T + 14 T^{2} - 603 T^{3} + 4489 T^{4}$$)($$1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4}$$)($$( 1 - 16 T + 67 T^{2} )( 1 + 5 T + 67 T^{2} )$$)($$1 - 14 T + 31 T^{2} - 434 T^{3} + 9604 T^{4} - 29078 T^{5} + 139159 T^{6} - 4210682 T^{7} + 20151121 T^{8}$$)($$1 - 127 T^{2} + 11640 T^{4} - 570103 T^{6} + 20151121 T^{8}$$)($$( 1 - 109 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} )$$)($$1 + 14 T + 31 T^{2} + 434 T^{3} + 9604 T^{4} + 29078 T^{5} + 139159 T^{6} + 4210682 T^{7} + 20151121 T^{8}$$)($$( 1 + 4 T + 67 T^{2} )^{2}( 1 - 118 T^{2} + 4489 T^{4} )$$)($$( 1 + 10 T + 50 T^{2} + 670 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 14 T + 98 T^{2} - 938 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 24 T + 288 T^{2} - 2920 T^{3} + 33092 T^{4} - 360168 T^{5} + 3376736 T^{6} - 30121176 T^{7} + 258152998 T^{8} - 2018118792 T^{9} + 15158167904 T^{10} - 108325208184 T^{11} + 666840896132 T^{12} - 3942365312440 T^{13} + 26052014064672 T^{14} - 145457078527752 T^{15} + 406067677556641 T^{16} )^{2}$$)($$1 + 6 T + 18 T^{2} + 402 T^{3} + 4489 T^{4}$$)($$1 - 10 T + 50 T^{2} - 670 T^{3} + 4489 T^{4}$$)($$1 + 1024 T^{3} + 1508 T^{4} - 58368 T^{5} + 524288 T^{6} + 1406976 T^{7} - 49663130 T^{8} + 94267392 T^{9} + 2353528832 T^{10} - 17554934784 T^{11} + 30387890468 T^{12} + 1382528109568 T^{13} + 406067677556641 T^{16}$$)($$1 + 24 T + 288 T^{2} + 2680 T^{3} + 35026 T^{4} + 481096 T^{5} + 5050016 T^{6} + 44472552 T^{7} + 431611055 T^{8} + 4488820656 T^{9} + 41458971456 T^{10} + 331005366640 T^{11} + 2603870224156 T^{12} + 22177359564880 T^{13} + 186109322865984 T^{14} + 1350071166960528 T^{15} + 8697446594242655 T^{16} + 60043509027563064 T^{17} + 456816277287564704 T^{18} + 2915784110474474008 T^{19} + 14222926474098907666 T^{20} + 72913512182070457960 T^{21} +$$$$52\!\cdots\!12$$$$T^{22} +$$$$29\!\cdots\!92$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 - 9 T + 94 T^{2} - 603 T^{3} + 4489 T^{4}$$)($$1 + 9 T + 94 T^{2} + 603 T^{3} + 4489 T^{4}$$)($$1 + 113 T^{2} + 8280 T^{4} + 507257 T^{6} + 20151121 T^{8}$$)($$1 + 125 T^{2} + 11136 T^{4} + 561125 T^{6} + 20151121 T^{8}$$)($$1 + 248 T^{2} + 30214 T^{4} + 1955248 T^{6} + 42292553 T^{8} - 3785460880 T^{10} - 336164526826 T^{12} - 6739836332504 T^{14} + 264085897769428 T^{16} - 30255125296610456 T^{18} - 6774092055978471946 T^{20} -$$$$34\!\cdots\!20$$$$T^{22} +$$$$17\!\cdots\!73$$$$T^{24} +$$$$35\!\cdots\!52$$$$T^{26} +$$$$24\!\cdots\!54$$$$T^{28} +$$$$91\!\cdots\!92$$$$T^{30} +$$$$16\!\cdots\!81$$$$T^{32}$$)($$( 1 + T^{2} - 4488 T^{4} + 4489 T^{6} + 20151121 T^{8} )^{2}$$)($$1 - 201 T^{2} + 15999 T^{4} - 1125464 T^{6} + 106093557 T^{8} - 6126765903 T^{10} + 264631070022 T^{12} - 27503052138567 T^{14} + 2137904104427397 T^{16} - 101807652629451416 T^{18} + 6496676773228699359 T^{20} -$$$$36\!\cdots\!49$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 - 201 T^{2} + 15999 T^{4} - 1125464 T^{6} + 106093557 T^{8} - 6126765903 T^{10} + 264631070022 T^{12} - 27503052138567 T^{14} + 2137904104427397 T^{16} - 101807652629451416 T^{18} + 6496676773228699359 T^{20} -$$$$36\!\cdots\!49$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$( 1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8} )^{2}$$)($$1 + 243 T^{2} + 26667 T^{4} + 2551684 T^{6} + 257198373 T^{8} + 20340248697 T^{10} + 1351874857614 T^{12} + 91307376400833 T^{14} + 5182835535326133 T^{16} + 230821206446522596 T^{18} + 10828606757402945547 T^{20} +$$$$44\!\cdots\!07$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 + 243 T^{2} + 26667 T^{4} + 2551684 T^{6} + 257198373 T^{8} + 20340248697 T^{10} + 1351874857614 T^{12} + 91307376400833 T^{14} + 5182835535326133 T^{16} + 230821206446522596 T^{18} + 10828606757402945547 T^{20} +$$$$44\!\cdots\!07$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 - 6 T + 45 T^{2} + 738 T^{3} - 4576 T^{4} + 49446 T^{5} + 202005 T^{6} - 1804578 T^{7} + 20151121 T^{8}$$)($$1 - 12 T + 45 T^{2} + 972 T^{3} - 11812 T^{4} + 65124 T^{5} + 202005 T^{6} - 3609156 T^{7} + 20151121 T^{8}$$)($$1 + 36 T^{2} - 816 T^{3} + 5510 T^{4} + 3264 T^{5} + 747492 T^{6} - 4213008 T^{7} + 8734466 T^{8} - 282271536 T^{9} + 3355491588 T^{10} + 981690432 T^{11} + 111032676710 T^{12} - 1101702087312 T^{13} + 3256501758084 T^{14} + 406067677556641 T^{16}$$)($$( 1 + 4 T + 67 T^{2} )^{8}( 1 - 15839326 T^{8} + 406067677556641 T^{16} )$$)
$71$ ($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 8 T + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4}$$)($$1 - 8 T + 78 T^{2} - 568 T^{3} + 5041 T^{4}$$)($$( 1 + 8 T + 71 T^{2} )^{2}$$)($$( 1 - 8 T + 71 T^{2} )^{2}$$)($$( 1 - 8 T + 110 T^{2} - 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 8 T + 110 T^{2} + 568 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 110 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 106 T^{2} + 5041 T^{4} )^{4}$$)($$1 - 130 T^{2} + 5041 T^{4}$$)($$( 1 - 16 T + 71 T^{2} )( 1 + 16 T + 71 T^{2} )$$)($$1 - 130 T^{2} + 5041 T^{4}$$)($$( 1 - 196 T^{2} + 18534 T^{4} - 988036 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 + 16 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 - 16 T + 71 T^{2} )^{2}$$)($$( 1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 - 50 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 114 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 + 2 T + 71 T^{2} )^{4}$$)($$( 1 + 4 T + 71 T^{2} )^{4}$$)($$( 1 + 8 T + 140 T^{2} + 552 T^{3} + 8070 T^{4} + 39192 T^{5} + 705740 T^{6} + 2863288 T^{7} + 25411681 T^{8} )^{4}$$)($$( 1 - 71 T^{2} )^{2}$$)($$1 - 78 T^{2} + 5041 T^{4}$$)($$1 - 72 T^{2} + 15132 T^{4} - 769400 T^{6} + 103336198 T^{8} - 3878545400 T^{10} + 384529556892 T^{12} - 9223220442312 T^{14} + 645753531245761 T^{16}$$)($$1 - 420 T^{2} + 86946 T^{4} - 12437204 T^{6} + 1395640463 T^{8} - 128112122952 T^{10} + 9864369161052 T^{12} - 645813211801032 T^{14} + 35465570236448303 T^{16} - 1593209363583396884 T^{18} + 56145686527693935906 T^{20} -$$$$13\!\cdots\!20$$$$T^{22} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$1 - 130 T^{2} + 5041 T^{4}$$)($$1 - 130 T^{2} + 5041 T^{4}$$)($$( 1 - 58 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 + 54 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 248 T^{2} + 34492 T^{4} - 3463880 T^{6} + 277458886 T^{8} - 17461419080 T^{10} + 876499701052 T^{12} - 31768870412408 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 106 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 106 T^{2} + 5041 T^{4} )^{6}$$)($$( 1 - 106 T^{2} + 5041 T^{4} )^{6}$$)($$( 1 + 30 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 + 202 T^{2} + 20895 T^{4} + 1639436 T^{6} + 105331695 T^{8} + 5133159562 T^{10} + 128100283921 T^{12} )^{2}$$)($$( 1 + 202 T^{2} + 20895 T^{4} + 1639436 T^{6} + 105331695 T^{8} + 5133159562 T^{10} + 128100283921 T^{12} )^{2}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$1 + 16 T + 96 T^{2} + 688 T^{3} + 7424 T^{4} + 111184 T^{5} + 995680 T^{6} + 3963120 T^{7} + 19042178 T^{8} + 281381520 T^{9} + 5019222880 T^{10} + 39793976624 T^{11} + 188656319744 T^{12} + 1241309793488 T^{13} + 12297627256416 T^{14} + 145521922534256 T^{15} + 645753531245761 T^{16}$$)($$( 1 - 42331966 T^{8} + 645753531245761 T^{16} )^{2}$$)
$73$ ($$1 - 2 T + 73 T^{2}$$)($$1 + 6 T + 73 T^{2}$$)($$1 + 14 T + 73 T^{2}$$)($$1 - 10 T + 73 T^{2}$$)($$1 - 10 T + 73 T^{2}$$)($$1 + 6 T + 73 T^{2}$$)($$1 - 2 T + 73 T^{2}$$)($$1 + 14 T + 73 T^{2}$$)($$1 - 12 T + 102 T^{2} - 876 T^{3} + 5329 T^{4}$$)($$1 - 12 T + 102 T^{2} - 876 T^{3} + 5329 T^{4}$$)($$( 1 + 6 T + 73 T^{2} )^{2}$$)($$( 1 + 6 T + 73 T^{2} )^{2}$$)($$( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 73 T^{2} )^{8}$$)($$( 1 - 122 T^{2} + 5329 T^{4} )^{4}$$)($$1 - 98 T^{2} + 5329 T^{4}$$)($$( 1 - 73 T^{2} )^{2}$$)($$1 - 98 T^{2} + 5329 T^{4}$$)($$( 1 - 132 T^{2} + 8742 T^{4} - 703428 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} )$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} )$$)($$1 - T - 72 T^{2} - 73 T^{3} + 5329 T^{4}$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} )$$)($$1 - T - 72 T^{2} - 73 T^{3} + 5329 T^{4}$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} )$$)($$1 - 18 T + 129 T^{2} - 882 T^{3} + 9044 T^{4} - 64386 T^{5} + 687441 T^{6} - 7002306 T^{7} + 28398241 T^{8}$$)($$( 1 - 9 T + 8 T^{2} - 657 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 15 T + 152 T^{2} + 1095 T^{3} + 5329 T^{4} )^{2}$$)($$1 - 18 T + 129 T^{2} - 882 T^{3} + 9044 T^{4} - 64386 T^{5} + 687441 T^{6} - 7002306 T^{7} + 28398241 T^{8}$$)($$( 1 + 73 T^{2} )^{4}$$)($$( 1 + 50 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 488 T^{2} + 109788 T^{4} + 14861528 T^{6} + 1322555910 T^{8} + 79197082712 T^{10} + 3117786082908 T^{12} + 73851102429032 T^{14} + 806460091894081 T^{16} )^{2}$$)($$( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} )$$)($$1 - 46 T^{2} + 5329 T^{4}$$)($$1 - 312 T^{2} + 42076 T^{4} - 3442952 T^{6} + 240206086 T^{8} - 18347491208 T^{10} + 1194884388316 T^{12} - 47216278602168 T^{14} + 806460091894081 T^{16}$$)($$1 - 260 T^{2} + 36418 T^{4} - 3914036 T^{6} + 381955535 T^{8} - 34248715528 T^{10} + 2684648528412 T^{12} - 182511405048712 T^{14} + 10846865334213935 T^{16} - 592327609727292404 T^{18} + 29369663626598641858 T^{20} -$$$$11\!\cdots\!40$$$$T^{22} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 7 T + 73 T^{2} )$$)($$( 1 - 10 T + 73 T^{2} )( 1 + 7 T + 73 T^{2} )$$)($$( 1 + 9 T + 100 T^{2} + 657 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 15 T + 148 T^{2} - 1095 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 12 T + 270 T^{2} + 2664 T^{3} + 35289 T^{4} + 261048 T^{5} + 2808174 T^{6} + 17932596 T^{7} + 187438964 T^{8} + 1309079508 T^{9} + 14964759246 T^{10} + 101552109816 T^{11} + 1002145526649 T^{12} + 5522662723752 T^{13} + 40860241098030 T^{14} + 132568782229164 T^{15} + 806460091894081 T^{16} )^{2}$$)($$( 1 + 9 T + 100 T^{2} + 657 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 + 3 T + 135 T^{2} + 396 T^{3} + 8613 T^{4} + 92913 T^{5} + 704806 T^{6} + 6782649 T^{7} + 45898677 T^{8} + 154050732 T^{9} + 3833762535 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} )^{2}$$)($$( 1 + 3 T + 135 T^{2} + 396 T^{3} + 8613 T^{4} + 92913 T^{5} + 704806 T^{6} + 6782649 T^{7} + 45898677 T^{8} + 154050732 T^{9} + 3833762535 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} )^{2}$$)($$( 1 + 15 T + 152 T^{2} + 1095 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 - 19 T + 91 T^{2} - 380 T^{3} + 8065 T^{4} + 6479 T^{5} - 826810 T^{6} + 472967 T^{7} + 42978385 T^{8} - 147826460 T^{9} + 2584239931 T^{10} - 39388360267 T^{11} + 151334226289 T^{12} )^{2}$$)($$( 1 - 19 T + 91 T^{2} - 380 T^{3} + 8065 T^{4} + 6479 T^{5} - 826810 T^{6} + 472967 T^{7} + 42978385 T^{8} - 147826460 T^{9} + 2584239931 T^{10} - 39388360267 T^{11} + 151334226289 T^{12} )^{2}$$)($$1 - 18 T + 277 T^{2} - 3042 T^{3} + 31116 T^{4} - 222066 T^{5} + 1476133 T^{6} - 7002306 T^{7} + 28398241 T^{8}$$)($$1 + 18 T + 277 T^{2} + 3042 T^{3} + 31116 T^{4} + 222066 T^{5} + 1476133 T^{6} + 7002306 T^{7} + 28398241 T^{8}$$)($$1 + 8 T + 24 T^{2} + 24 T^{3} - 32 T^{4} + 39640 T^{5} + 162360 T^{6} - 2485368 T^{7} - 34493598 T^{8} - 181431864 T^{9} + 865216440 T^{10} + 15420633880 T^{11} - 908743712 T^{12} + 49753718232 T^{13} + 3632021430936 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16}$$)($$( 1 + 28398241 T^{8} )^{4}$$)
$79$ ($$1 + 8 T + 79 T^{2}$$)($$1 - 16 T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 - 16 T + 79 T^{2}$$)($$1 + 16 T + 79 T^{2}$$)($$1 + 16 T + 79 T^{2}$$)($$1 - 8 T + 79 T^{2}$$)($$1 - 8 T + 79 T^{2}$$)($$1 + 8 T + 94 T^{2} + 632 T^{3} + 6241 T^{4}$$)($$1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4}$$)($$( 1 + 8 T + 79 T^{2} )^{2}$$)($$( 1 - 8 T + 79 T^{2} )^{2}$$)($$( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 130 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 + 38 T^{2} + 6241 T^{4} )^{4}$$)($$1 - 146 T^{2} + 6241 T^{4}$$)($$( 1 - 8 T + 79 T^{2} )( 1 + 8 T + 79 T^{2} )$$)($$1 - 146 T^{2} + 6241 T^{4}$$)($$( 1 - 100 T^{2} + 11782 T^{4} - 624100 T^{6} + 38950081 T^{8} )^{2}$$)($$1 + 11 T + 42 T^{2} + 869 T^{3} + 6241 T^{4}$$)($$1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4}$$)($$( 1 - 4 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} )$$)($$1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4}$$)($$( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} )$$)($$1 - 11 T + 42 T^{2} - 869 T^{3} + 6241 T^{4}$$)($$1 + 2 T - 105 T^{2} - 98 T^{3} + 5324 T^{4} - 7742 T^{5} - 655305 T^{6} + 986078 T^{7} + 38950081 T^{8}$$)($$1 - 151 T^{2} + 16560 T^{4} - 942391 T^{6} + 38950081 T^{8}$$)($$1 - 155 T^{2} + 17784 T^{4} - 967355 T^{6} + 38950081 T^{8}$$)($$1 - 2 T - 105 T^{2} + 98 T^{3} + 5324 T^{4} + 7742 T^{5} - 655305 T^{6} - 986078 T^{7} + 38950081 T^{8}$$)($$( 1 - 94 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 142 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 154 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 248 T^{2} + 44188 T^{4} - 5247432 T^{6} + 480379078 T^{8} - 32749223112 T^{10} + 1721126179228 T^{12} - 60285688969208 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 + 10 T + 79 T^{2} )^{2}$$)($$( 1 - 14 T + 79 T^{2} )^{2}$$)($$( 1 - 12 T + 156 T^{2} - 1132 T^{3} + 10006 T^{4} - 89428 T^{5} + 973596 T^{6} - 5916468 T^{7} + 38950081 T^{8} )^{2}$$)($$( 1 + 12 T + 430 T^{2} + 4164 T^{3} + 79599 T^{4} + 615800 T^{5} + 8193220 T^{6} + 48648200 T^{7} + 496777359 T^{8} + 2053014396 T^{9} + 16748534830 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} )^{2}$$)($$( 1 - 13 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} )$$)($$( 1 - 4 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} )$$)($$1 + 137 T^{2} + 12528 T^{4} + 855017 T^{6} + 38950081 T^{8}$$)($$1 + 77 T^{2} - 312 T^{4} + 480557 T^{6} + 38950081 T^{8}$$)($$1 + 296 T^{2} + 48502 T^{4} + 5442256 T^{6} + 407298713 T^{8} + 12121526192 T^{10} - 1601181207706 T^{12} - 316632003296936 T^{14} - 31211270417534060 T^{16} - 1976100332576177576 T^{18} - 62366137735826524186 T^{20} +$$$$29\!\cdots\!32$$$$T^{22} +$$$$61\!\cdots\!93$$$$T^{24} +$$$$51\!\cdots\!56$$$$T^{26} +$$$$28\!\cdots\!82$$$$T^{28} +$$$$10\!\cdots\!76$$$$T^{30} +$$$$23\!\cdots\!21$$$$T^{32}$$)($$( 1 - 142 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2}$$)($$1 + 423 T^{2} + 100719 T^{4} + 16959784 T^{6} + 2218671261 T^{8} + 234027714033 T^{10} + 20330054559222 T^{12} + 1460566963279953 T^{14} + 86417425328322141 T^{16} + 4122710738745767464 T^{18} +$$$$15\!\cdots\!59$$$$T^{20} +$$$$40\!\cdots\!23$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 + 423 T^{2} + 100719 T^{4} + 16959784 T^{6} + 2218671261 T^{8} + 234027714033 T^{10} + 20330054559222 T^{12} + 1460566963279953 T^{14} + 86417425328322141 T^{16} + 4122710738745767464 T^{18} +$$$$15\!\cdots\!59$$$$T^{20} +$$$$40\!\cdots\!23$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$( 1 + 17 T^{2} - 5952 T^{4} + 106097 T^{6} + 38950081 T^{8} )^{2}$$)($$1 - 229 T^{2} + 18803 T^{4} - 1444068 T^{6} + 204920893 T^{8} - 18040142231 T^{10} + 1175684977006 T^{12} - 112588527663671 T^{14} + 7981685380942333 T^{16} - 351034815719299428 T^{18} + 28526196952673066483 T^{20} -$$$$21\!\cdots\!29$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 - 229 T^{2} + 18803 T^{4} - 1444068 T^{6} + 204920893 T^{8} - 18040142231 T^{10} + 1175684977006 T^{12} - 112588527663671 T^{14} + 7981685380942333 T^{16} - 351034815719299428 T^{18} + 28526196952673066483 T^{20} -$$$$21\!\cdots\!29$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 + 16 T + 109 T^{2} - 176 T^{3} - 4856 T^{4} - 13904 T^{5} + 680269 T^{6} + 7888624 T^{7} + 38950081 T^{8}$$)($$1 + 16 T + 109 T^{2} - 176 T^{3} - 4856 T^{4} - 13904 T^{5} + 680269 T^{6} + 7888624 T^{7} + 38950081 T^{8}$$)($$1 + 32 T + 512 T^{2} + 6048 T^{3} + 63008 T^{4} + 650336 T^{5} + 6839808 T^{6} + 70922720 T^{7} + 675882498 T^{8} + 5602894880 T^{9} + 42687241728 T^{10} + 320641011104 T^{11} + 2454166703648 T^{12} + 18610037101152 T^{13} + 124460777226752 T^{14} + 614525087557088 T^{15} + 1517108809906561 T^{16}$$)($$( 1 - 64606846 T^{8} + 1517108809906561 T^{16} )^{2}$$)
$83$ ($$1 + 6 T + 83 T^{2}$$)($$1 - 2 T + 83 T^{2}$$)($$1 + 6 T + 83 T^{2}$$)($$1 + 8 T + 83 T^{2}$$)($$1 - 8 T + 83 T^{2}$$)($$1 + 2 T + 83 T^{2}$$)($$1 - 6 T + 83 T^{2}$$)($$1 - 6 T + 83 T^{2}$$)($$1 + 14 T + 210 T^{2} + 1162 T^{3} + 6889 T^{4}$$)($$1 - 14 T + 210 T^{2} - 1162 T^{3} + 6889 T^{4}$$)($$1 - 130 T^{2} + 6889 T^{4}$$)($$1 - 130 T^{2} + 6889 T^{4}$$)($$1 - 164 T^{2} + 17802 T^{4} - 1129796 T^{6} + 47458321 T^{8}$$)($$1 - 164 T^{2} + 17802 T^{4} - 1129796 T^{6} + 47458321 T^{8}$$)($$( 1 - 13130 T^{4} + 47458321 T^{8} )^{2}$$)($$( 1 - 68 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 - 6 T + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 6 T + 83 T^{2} )^{2}$$)($$( 1 + 196 T^{2} + 19150 T^{4} + 1350244 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 4 T + 83 T^{2} )^{2}$$)($$( 1 + 12 T + 83 T^{2} )^{2}$$)($$( 1 - 12 T + 83 T^{2} )^{2}$$)($$( 1 - 12 T + 83 T^{2} )^{2}$$)($$( 1 + 12 T + 83 T^{2} )^{2}$$)($$( 1 - 4 T + 83 T^{2} )^{2}$$)($$( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 54 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 118 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 6889 T^{4} )^{2}$$)($$( 1 + 6889 T^{4} )^{2}$$)($$1 + 11822 T^{4} + 47458321 T^{8}$$)($$1 - 8864 T^{4} + 76814212 T^{8} - 447540754464 T^{12} + 1619408186640838 T^{16} - 21239532785934694944 T^{20} +$$$$17\!\cdots\!92$$$$T^{24} -$$$$94\!\cdots\!04$$$$T^{28} +$$$$50\!\cdots\!81$$$$T^{32}$$)($$1 - 20 T + 200 T^{2} - 1660 T^{3} + 6889 T^{4}$$)($$1 + 6889 T^{4}$$)($$1 + 4 T^{3} + 24944 T^{4} - 964 T^{5} + 8 T^{6} - 52496 T^{7} + 249837570 T^{8} - 4357168 T^{9} + 55112 T^{10} - 551202668 T^{11} + 1183800359024 T^{12} + 15756162572 T^{13} + 2252292232139041 T^{16}$$)($$1 - 20 T + 200 T^{2} - 2776 T^{3} + 14978 T^{4} + 154136 T^{5} - 2225232 T^{6} + 36575116 T^{7} - 391023149 T^{8} + 799427344 T^{9} + 5892039048 T^{10} - 195956951952 T^{11} + 3311983427012 T^{12} - 16264427012016 T^{13} + 40590257001672 T^{14} + 457102162743728 T^{15} - 18557302123672829 T^{16} + 144070868446439588 T^{17} - 727518180912646608 T^{18} + 4182642355337147272 T^{19} + 33734833052978556098 T^{20} -$$$$51\!\cdots\!28$$$$T^{21} +$$$$31\!\cdots\!00$$$$T^{22} -$$$$25\!\cdots\!40$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$( 1 - 12 T + 83 T^{2} )^{2}$$)($$( 1 + 12 T + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 - 26 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 248 T^{2} + 25404 T^{4} + 1379080 T^{6} + 70811942 T^{8} + 9500482120 T^{10} + 1205631186684 T^{12} + 81081212595512 T^{14} + 2252292232139041 T^{16} )^{2}$$)($$( 1 - 146 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 - 134 T^{2} + 15431 T^{4} - 1438964 T^{6} + 106304159 T^{8} - 6359415014 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 - 134 T^{2} + 15431 T^{4} - 1438964 T^{6} + 106304159 T^{8} - 6359415014 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 - 130 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 - 294 T^{2} + 45255 T^{4} - 4558516 T^{6} + 311761695 T^{8} - 13952746374 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 - 294 T^{2} + 45255 T^{4} - 4558516 T^{6} + 311761695 T^{8} - 13952746374 T^{10} + 326940373369 T^{12} )^{2}$$)($$1 + 20 T + 200 T^{2} + 2180 T^{3} + 23086 T^{4} + 180940 T^{5} + 1377800 T^{6} + 11435740 T^{7} + 47458321 T^{8}$$)($$1 + 20 T + 200 T^{2} + 2180 T^{3} + 23086 T^{4} + 180940 T^{5} + 1377800 T^{6} + 11435740 T^{7} + 47458321 T^{8}$$)($$1 + 16 T + 248 T^{2} + 3656 T^{3} + 44120 T^{4} + 501288 T^{5} + 5260928 T^{6} + 53087920 T^{7} + 503492960 T^{8} + 4406297360 T^{9} + 36242532992 T^{10} + 286629961656 T^{11} + 2093861122520 T^{12} + 14401132590808 T^{13} + 81081212595512 T^{14} + 434176815834032 T^{15} + 2252292232139041 T^{16}$$)($$( 1 + 2252292232139041 T^{16} )^{2}$$)
$89$ ($$1 + 6 T + 89 T^{2}$$)($$1 - 18 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 - 18 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$( 1 + 6 T + 89 T^{2} )^{2}$$)($$( 1 + 6 T + 89 T^{2} )^{2}$$)($$( 1 - 10 T + 89 T^{2} )^{2}$$)($$( 1 - 10 T + 89 T^{2} )^{2}$$)($$( 1 + 4 T - 10 T^{2} + 356 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 4 T - 10 T^{2} + 356 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 89 T^{2} )^{8}$$)($$( 1 + 38 T^{2} + 7921 T^{4} )^{4}$$)($$1 - 130 T^{2} + 7921 T^{4}$$)($$( 1 - 89 T^{2} )^{2}$$)($$1 - 130 T^{2} + 7921 T^{4}$$)($$( 1 - 324 T^{2} + 41958 T^{4} - 2566404 T^{6} + 62742241 T^{8} )^{2}$$)($$1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4}$$)($$1 + 7 T - 40 T^{2} + 623 T^{3} + 7921 T^{4}$$)($$1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4}$$)($$1 + 7 T - 40 T^{2} + 623 T^{3} + 7921 T^{4}$$)($$1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4}$$)($$1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4}$$)($$( 1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 7 T - 40 T^{2} + 623 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 89 T^{2} )^{4}$$)($$( 1 + 89 T^{2} )^{4}$$)($$( 1 + 166 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 + 200 T^{2} + 34908 T^{4} + 4599288 T^{6} + 427472262 T^{8} + 36430960248 T^{10} + 2190206148828 T^{12} + 99396258192200 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$1 + 18 T^{2} + 7921 T^{4}$$)($$1 - 142 T^{2} + 7921 T^{4}$$)($$1 - 280 T^{2} + 52956 T^{4} - 7229224 T^{6} + 718461574 T^{8} - 57262683304 T^{10} + 3322578114396 T^{12} - 139154761469080 T^{14} + 3936588805702081 T^{16}$$)($$1 - 516 T^{2} + 133186 T^{4} - 22283444 T^{6} + 2738419343 T^{8} - 274144745736 T^{10} + 24925487001372 T^{12} - 2171500530974856 T^{14} + 171814566377567663 T^{16} - 11074454766177149684 T^{18} +$$$$52\!\cdots\!66$$$$T^{20} -$$$$16\!\cdots\!16$$$$T^{22} +$$$$24\!\cdots\!21$$$$T^{24}$$)($$1 + 21 T + 236 T^{2} + 1869 T^{3} + 7921 T^{4}$$)($$1 + 21 T + 236 T^{2} + 1869 T^{3} + 7921 T^{4}$$)($$( 1 - 3 T + 92 T^{2} - 267 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 27 T + 332 T^{2} - 2403 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 36 T + 822 T^{2} + 14040 T^{3} + 193953 T^{4} + 2261112 T^{5} + 23442342 T^{6} + 226172268 T^{7} + 2129495396 T^{8} + 20129331852 T^{9} + 185686790982 T^{10} + 1594013865528 T^{11} + 12169045868673 T^{12} + 78400194663960 T^{13} + 408518621169942 T^{14} + 1592328056239044 T^{15} + 3936588805702081 T^{16} )^{2}$$)($$( 1 + 9 T + 116 T^{2} + 801 T^{3} + 7921 T^{4} )^{4}$$)($$( 1 + 9 T + 116 T^{2} + 801 T^{3} + 7921 T^{4} )^{6}$$)($$( 1 + 9 T + 116 T^{2} + 801 T^{3} + 7921 T^{4} )^{6}$$)($$( 1 - 5 T - 64 T^{2} - 445 T^{3} + 7921 T^{4} )^{4}$$)($$( 1 - 7 T - 117 T^{2} + 988 T^{3} + 5257 T^{4} - 27061 T^{5} - 275050 T^{6} - 2408429 T^{7} + 41640697 T^{8} + 696509372 T^{9} - 7340842197 T^{10} - 39088416143 T^{11} + 496981290961 T^{12} )^{2}$$)($$( 1 - 7 T - 117 T^{2} + 988 T^{3} + 5257 T^{4} - 27061 T^{5} - 275050 T^{6} - 2408429 T^{7} + 41640697 T^{8} + 696509372 T^{9} - 7340842197 T^{10} - 39088416143 T^{11} + 496981290961 T^{12} )^{2}$$)($$( 1 + 9 T + 116 T^{2} + 801 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 9 T + 116 T^{2} - 801 T^{3} + 7921 T^{4} )^{2}$$)($$1 + 8 T + 168 T^{2} - 504 T^{3} + 352 T^{4} - 205560 T^{5} + 219272 T^{6} - 9625528 T^{7} + 113913698 T^{8} - 856671992 T^{9} + 1736853512 T^{10} - 144913427640 T^{11} + 22085268832 T^{12} - 2814365962296 T^{13} + 83492856881448 T^{14} + 353850679164232 T^{15} + 3936588805702081 T^{16}$$)($$( 1 + 62742241 T^{8} )^{4}$$)
$97$ ($$1 + 10 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 6 T + 97 T^{2}$$)($$1 + 6 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 10 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4}$$)($$1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4}$$)($$( 1 - 2 T + 97 T^{2} )^{2}$$)($$( 1 - 2 T + 97 T^{2} )^{2}$$)($$( 1 - 4 T + 150 T^{2} - 388 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 4 T + 150 T^{2} - 388 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{8}$$)($$( 1 - 170 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 14 T + 97 T^{2} )( 1 + 14 T + 97 T^{2} )$$)($$( 1 - 97 T^{2} )^{2}$$)($$( 1 - 14 T + 97 T^{2} )( 1 + 14 T + 97 T^{2} )$$)($$( 1 - 68 T^{2} + 19462 T^{4} - 639812 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 6 T + 97 T^{2} )^{2}$$)($$( 1 + 2 T + 97 T^{2} )^{2}$$)($$( 1 + 10 T + 97 T^{2} )^{2}$$)($$( 1 + 2 T + 97 T^{2} )^{2}$$)($$( 1 + 10 T + 97 T^{2} )^{2}$$)($$( 1 - 6 T + 97 T^{2} )^{2}$$)($$( 1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 8 T + 97 T^{2} )^{4}$$)($$( 1 - 12 T + 97 T^{2} )^{4}$$)($$( 1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{4}$$)($$( 1 - 170 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{4}$$)($$( 1 - 464 T^{2} + 108060 T^{4} - 16830512 T^{6} + 1903290630 T^{8} - 158358287408 T^{10} + 9566474104860 T^{12} - 386499010287056 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 + 2 T + 97 T^{2} )^{2}$$)($$( 1 + 6 T + 97 T^{2} )^{2}$$)($$( 1 + 16 T + 364 T^{2} + 4008 T^{3} + 52510 T^{4} + 388776 T^{5} + 3424876 T^{6} + 14602768 T^{7} + 88529281 T^{8} )^{2}$$)($$( 1 - 24 T + 522 T^{2} - 9072 T^{3} + 126023 T^{4} - 1521976 T^{5} + 16411804 T^{6} - 147631672 T^{7} + 1185750407 T^{8} - 8279769456 T^{9} + 46212284682 T^{10} - 206096166168 T^{11} + 832972004929 T^{12} )^{2}$$)($$1 - 146 T^{2} + 9409 T^{4}$$)($$1 - 146 T^{2} + 9409 T^{4}$$)($$( 1 - 182 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 106 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 304 T^{2} + 67644 T^{4} - 9727184 T^{6} + 1110022022 T^{8} - 91523074256 T^{10} + 5988474683964 T^{12} - 253223489498416 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 - 182 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 42 T^{2} + 13839 T^{4} - 885404 T^{6} + 130211151 T^{8} - 3718229802 T^{10} + 832972004929 T^{12} )^{2}$$)($$( 1 - 42 T^{2} + 13839 T^{4} - 885404 T^{6} + 130211151 T^{8} - 3718229802 T^{10} + 832972004929 T^{12} )^{2}$$)($$( 1 - 8 T + 97 T^{2} )^{8}$$)($$( 1 + 28 T + 467 T^{2} + 5164 T^{3} + 45299 T^{4} + 263452 T^{5} + 912673 T^{6} )^{4}$$)($$( 1 + 28 T + 467 T^{2} + 5164 T^{3} + 45299 T^{4} + 263452 T^{5} + 912673 T^{6} )^{4}$$)($$( 1 - 8 T + 162 T^{2} - 776 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 8 T + 162 T^{2} - 776 T^{3} + 9409 T^{4} )^{2}$$)($$1 - 712 T^{2} + 227468 T^{4} - 42558264 T^{6} + 5098416678 T^{8} - 400430705976 T^{10} + 20137578490508 T^{12} - 593076067509448 T^{14} + 7837433594376961 T^{16}$$)($$( 1 + 97 T^{2} )^{16}$$)