# Properties

 Label 1575.2 Level 1575 Weight 2 Dimension 59493 Nonzero newspaces 60 Sturm bound 345600 Trace bound 4

## Defining parameters

 Level: $$N$$ = $$1575 = 3^{2} \cdot 5^{2} \cdot 7$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$60$$ Sturm bound: $$345600$$ Trace bound: $$4$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(1575))$$.

Total New Old
Modular forms 89088 61337 27751
Cusp forms 83713 59493 24220
Eisenstein series 5375 1844 3531

## Trace form

 $$59493q - 85q^{2} - 108q^{3} - 105q^{4} - 102q^{5} - 172q^{6} - 115q^{7} - 195q^{8} - 92q^{9} + O(q^{10})$$ $$59493q - 85q^{2} - 108q^{3} - 105q^{4} - 102q^{5} - 172q^{6} - 115q^{7} - 195q^{8} - 92q^{9} - 282q^{10} - 106q^{11} - 32q^{12} - 72q^{13} - 57q^{14} - 296q^{15} - 65q^{16} - 8q^{17} + 12q^{18} - 200q^{19} + 36q^{20} - 162q^{21} - 44q^{22} + 46q^{23} + 104q^{24} - 6q^{25} - 24q^{26} + 6q^{27} - 95q^{28} + 2q^{29} - 48q^{30} - 26q^{31} + 257q^{32} - 20q^{33} + 190q^{34} - 76q^{35} - 428q^{36} - 68q^{37} + 98q^{38} - 168q^{39} + 42q^{40} - 124q^{41} - 122q^{42} - 164q^{43} - 18q^{44} - 168q^{45} - 184q^{46} - 86q^{47} - 328q^{48} - 35q^{49} - 110q^{50} - 332q^{51} + 284q^{52} + 8q^{53} - 122q^{54} - 124q^{55} - 105q^{56} - 216q^{57} + 352q^{58} + 148q^{59} - 232q^{60} + 74q^{61} + 88q^{62} - 180q^{63} - 531q^{64} - 178q^{65} - 38q^{66} - 12q^{67} - 488q^{68} - 140q^{69} - 114q^{70} - 152q^{71} - 594q^{72} - 186q^{73} - 440q^{74} - 448q^{75} - 138q^{76} - 162q^{77} - 756q^{78} - 108q^{79} - 1030q^{80} - 344q^{81} - 406q^{82} - 514q^{83} - 644q^{84} - 282q^{85} - 634q^{86} - 506q^{87} - 450q^{88} - 690q^{89} - 752q^{90} - 704q^{91} - 1312q^{92} - 578q^{93} - 230q^{94} - 292q^{95} - 1016q^{96} - 136q^{97} - 975q^{98} - 600q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(1575))$$

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
1575.2.a $$\chi_{1575}(1, \cdot)$$ 1575.2.a.a 1 1
1575.2.a.b 1
1575.2.a.c 1
1575.2.a.d 1
1575.2.a.e 1
1575.2.a.f 1
1575.2.a.g 1
1575.2.a.h 1
1575.2.a.i 1
1575.2.a.j 1
1575.2.a.k 1
1575.2.a.l 2
1575.2.a.m 2
1575.2.a.n 2
1575.2.a.o 2
1575.2.a.p 2
1575.2.a.q 2
1575.2.a.r 2
1575.2.a.s 2
1575.2.a.t 2
1575.2.a.u 2
1575.2.a.v 2
1575.2.a.w 3
1575.2.a.x 3
1575.2.a.y 4
1575.2.a.z 4
1575.2.b $$\chi_{1575}(251, \cdot)$$ 1575.2.b.a 4 1
1575.2.b.b 4
1575.2.b.c 4
1575.2.b.d 4
1575.2.b.e 4
1575.2.b.f 8
1575.2.b.g 8
1575.2.b.h 16
1575.2.d $$\chi_{1575}(1324, \cdot)$$ 1575.2.d.a 2 1
1575.2.d.b 2
1575.2.d.c 2
1575.2.d.d 4
1575.2.d.e 4
1575.2.d.f 4
1575.2.d.g 4
1575.2.d.h 4
1575.2.d.i 4
1575.2.d.j 4
1575.2.d.k 4
1575.2.d.l 8
1575.2.g $$\chi_{1575}(1574, \cdot)$$ 1575.2.g.a 8 1
1575.2.g.b 8
1575.2.g.c 8
1575.2.g.d 8
1575.2.g.e 16
1575.2.i $$\chi_{1575}(526, \cdot)$$ n/a 228 2
1575.2.j $$\chi_{1575}(226, \cdot)$$ n/a 120 2
1575.2.k $$\chi_{1575}(1201, \cdot)$$ n/a 292 2
1575.2.l $$\chi_{1575}(151, \cdot)$$ n/a 292 2
1575.2.m $$\chi_{1575}(1268, \cdot)$$ 1575.2.m.a 8 2
1575.2.m.b 8
1575.2.m.c 12
1575.2.m.d 12
1575.2.m.e 16
1575.2.m.f 16
1575.2.p $$\chi_{1575}(118, \cdot)$$ n/a 116 2
1575.2.q $$\chi_{1575}(316, \cdot)$$ n/a 304 4
1575.2.s $$\chi_{1575}(499, \cdot)$$ n/a 280 2
1575.2.u $$\chi_{1575}(101, \cdot)$$ n/a 292 2
1575.2.v $$\chi_{1575}(299, \cdot)$$ n/a 280 2
1575.2.ba $$\chi_{1575}(524, \cdot)$$ n/a 280 2
1575.2.bc $$\chi_{1575}(899, \cdot)$$ 1575.2.bc.a 8 2
1575.2.bc.b 8
1575.2.bc.c 24
1575.2.bc.d 24
1575.2.bc.e 32
1575.2.bf $$\chi_{1575}(551, \cdot)$$ n/a 292 2
1575.2.bg $$\chi_{1575}(424, \cdot)$$ n/a 116 2
1575.2.bi $$\chi_{1575}(274, \cdot)$$ n/a 216 2
1575.2.bk $$\chi_{1575}(26, \cdot)$$ 1575.2.bk.a 4 2
1575.2.bk.b 4
1575.2.bk.c 4
1575.2.bk.d 8
1575.2.bk.e 12
1575.2.bk.f 12
1575.2.bk.g 16
1575.2.bk.h 16
1575.2.bk.i 24
1575.2.bm $$\chi_{1575}(776, \cdot)$$ n/a 292 2
1575.2.bp $$\chi_{1575}(949, \cdot)$$ n/a 280 2
1575.2.br $$\chi_{1575}(824, \cdot)$$ n/a 280 2
1575.2.bu $$\chi_{1575}(314, \cdot)$$ n/a 320 4
1575.2.bx $$\chi_{1575}(64, \cdot)$$ n/a 296 4
1575.2.bz $$\chi_{1575}(566, \cdot)$$ n/a 320 4
1575.2.ca $$\chi_{1575}(418, \cdot)$$ n/a 560 4
1575.2.cd $$\chi_{1575}(893, \cdot)$$ n/a 560 4
1575.2.cf $$\chi_{1575}(32, \cdot)$$ n/a 560 4
1575.2.ch $$\chi_{1575}(82, \cdot)$$ n/a 232 4
1575.2.cj $$\chi_{1575}(643, \cdot)$$ n/a 560 4
1575.2.ck $$\chi_{1575}(218, \cdot)$$ n/a 432 4
1575.2.cm $$\chi_{1575}(107, \cdot)$$ n/a 192 4
1575.2.co $$\chi_{1575}(157, \cdot)$$ n/a 560 4
1575.2.cq $$\chi_{1575}(121, \cdot)$$ n/a 1888 8
1575.2.cr $$\chi_{1575}(16, \cdot)$$ n/a 1888 8
1575.2.cs $$\chi_{1575}(46, \cdot)$$ n/a 784 8
1575.2.ct $$\chi_{1575}(106, \cdot)$$ n/a 1440 8
1575.2.cu $$\chi_{1575}(433, \cdot)$$ n/a 784 8
1575.2.cx $$\chi_{1575}(8, \cdot)$$ n/a 480 8
1575.2.cz $$\chi_{1575}(164, \cdot)$$ n/a 1888 8
1575.2.db $$\chi_{1575}(4, \cdot)$$ n/a 1888 8
1575.2.de $$\chi_{1575}(41, \cdot)$$ n/a 1888 8
1575.2.dg $$\chi_{1575}(206, \cdot)$$ n/a 640 8
1575.2.di $$\chi_{1575}(169, \cdot)$$ n/a 1440 8
1575.2.dk $$\chi_{1575}(109, \cdot)$$ n/a 784 8
1575.2.dl $$\chi_{1575}(236, \cdot)$$ n/a 1888 8
1575.2.do $$\chi_{1575}(89, \cdot)$$ n/a 640 8
1575.2.dq $$\chi_{1575}(104, \cdot)$$ n/a 1888 8
1575.2.dv $$\chi_{1575}(59, \cdot)$$ n/a 1888 8
1575.2.dw $$\chi_{1575}(131, \cdot)$$ n/a 1888 8
1575.2.dy $$\chi_{1575}(184, \cdot)$$ n/a 1888 8
1575.2.eb $$\chi_{1575}(187, \cdot)$$ n/a 3776 16
1575.2.ed $$\chi_{1575}(53, \cdot)$$ n/a 1280 16
1575.2.ef $$\chi_{1575}(92, \cdot)$$ n/a 2880 16
1575.2.eg $$\chi_{1575}(13, \cdot)$$ n/a 3776 16
1575.2.ei $$\chi_{1575}(73, \cdot)$$ n/a 1568 16
1575.2.ek $$\chi_{1575}(2, \cdot)$$ n/a 3776 16
1575.2.em $$\chi_{1575}(23, \cdot)$$ n/a 3776 16
1575.2.ep $$\chi_{1575}(52, \cdot)$$ n/a 3776 16

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

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(1575))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(1575)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(15))$$$$^{\oplus 8}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(21))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(25))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(35))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(45))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(63))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(75))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(105))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(175))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(225))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(315))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(525))$$$$^{\oplus 2}$$

## Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ ($$1 + 2 T + 2 T^{2}$$)($$1 + T + 2 T^{2}$$)($$1 + T + 2 T^{2}$$)($$1 + T + 2 T^{2}$$)($$1 + T + 2 T^{2}$$)($$1 + 2 T^{2}$$)($$1 - T + 2 T^{2}$$)($$1 - T + 2 T^{2}$$)($$1 - T + 2 T^{2}$$)($$1 - T + 2 T^{2}$$)($$1 - 2 T + 2 T^{2}$$)($$1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4}$$)($$1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4}$$)($$1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4}$$)($$1 + T + T^{2} + 2 T^{3} + 4 T^{4}$$)($$1 + T + 2 T^{3} + 4 T^{4}$$)($$1 + T^{2} + 4 T^{4}$$)($$1 - T^{2} + 4 T^{4}$$)($$1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4}$$)($$1 - T + T^{2} - 2 T^{3} + 4 T^{4}$$)($$1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4}$$)($$1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4}$$)($$1 + T + T^{2} + 3 T^{3} + 2 T^{4} + 4 T^{5} + 8 T^{6}$$)($$1 - T + T^{2} - 3 T^{3} + 2 T^{4} - 4 T^{5} + 8 T^{6}$$)($$1 - T^{2} + T^{4} - 4 T^{6} + 16 T^{8}$$)($$1 - T^{2} + T^{4} - 4 T^{6} + 16 T^{8}$$)($$1 + T^{4} + 16 T^{8}$$)($$1 - 4 T^{2} + 9 T^{4} - 16 T^{6} + 16 T^{8}$$)($$1 - 4 T^{2} + 9 T^{4} - 16 T^{6} + 16 T^{8}$$)($$( 1 - 2 T^{2} + 4 T^{4} )^{2}$$)($$( 1 - 2 T^{2} + 4 T^{4} )^{2}$$)($$1 - T^{4} - 15 T^{8} - 16 T^{12} + 256 T^{16}$$)($$1 - T^{4} - 15 T^{8} - 16 T^{12} + 256 T^{16}$$)($$( 1 - 2 T^{2} + 3 T^{4} - 8 T^{6} + 16 T^{8} )^{4}$$)($$1 - 3 T^{2} + 4 T^{4}$$)($$1 - 3 T^{2} + 4 T^{4}$$)($$( 1 - 2 T^{2} )^{2}$$)($$( 1 + T^{2} + 4 T^{4} )^{2}$$)($$1 + T^{2} + 4 T^{4} + 4 T^{6} + 16 T^{8}$$)($$1 - T^{2} - 3 T^{4} - 4 T^{6} + 16 T^{8}$$)($$1 - T^{2} + 5 T^{4} - 4 T^{6} + 16 T^{8}$$)($$1 - 2 T^{2} + T^{4} - 8 T^{6} + 16 T^{8}$$)($$( 1 - T^{2} + 4 T^{4} )^{2}$$)($$1 - 2 T^{2} + T^{4} - 8 T^{6} + 16 T^{8}$$)($$1 - 5 T^{2} + 13 T^{4} - 20 T^{6} + 16 T^{8}$$)($$( 1 + T^{2} + T^{4} + 4 T^{6} + 16 T^{8} )^{2}$$)($$( 1 + 4 T^{2} + 9 T^{4} + 16 T^{6} + 16 T^{8} )^{2}$$)($$( 1 + 2 T^{2} + 4 T^{4} )^{4}$$)($$( 1 + 4 T^{2} + 9 T^{4} + 16 T^{6} + 16 T^{8} )^{2}$$)($$( 1 + T^{4} + 16 T^{8} )^{2}$$)($$( 1 - T^{4} - 15 T^{8} - 16 T^{12} + 256 T^{16} )^{2}$$)($$( 1 + 2 T + 2 T^{2} + 2 T^{3} + T^{4} + 4 T^{5} + 8 T^{6} + 16 T^{7} + 16 T^{8} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - 2 T^{3} + T^{4} - 4 T^{5} + 8 T^{6} - 16 T^{7} + 16 T^{8} )^{2}$$)($$1 + 8 T^{3} - 5 T^{4} + 32 T^{6} - 32 T^{7} - 5 T^{8} + 80 T^{9} - 96 T^{10} - 72 T^{11} + 193 T^{12} - 144 T^{13} - 384 T^{14} + 640 T^{15} - 80 T^{16} - 1024 T^{17} + 2048 T^{18} - 1280 T^{20} + 4096 T^{21} + 4096 T^{24}$$)($$1 - 8 T^{3} - 5 T^{4} + 32 T^{6} + 32 T^{7} - 5 T^{8} - 80 T^{9} - 96 T^{10} + 72 T^{11} + 193 T^{12} + 144 T^{13} - 384 T^{14} - 640 T^{15} - 80 T^{16} + 1024 T^{17} + 2048 T^{18} - 1280 T^{20} - 4096 T^{21} + 4096 T^{24}$$)($$( 1 + 2 T + 2 T^{2} - T^{4} + 4 T^{5} + 10 T^{6} + 6 T^{7} + T^{8} + 12 T^{9} + 40 T^{10} + 32 T^{11} - 16 T^{12} + 128 T^{14} + 256 T^{15} + 256 T^{16} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - T^{4} - 4 T^{5} + 10 T^{6} - 6 T^{7} + T^{8} - 12 T^{9} + 40 T^{10} - 32 T^{11} - 16 T^{12} + 128 T^{14} - 256 T^{15} + 256 T^{16} )^{2}$$)($$( 1 - 2 T^{2} )^{4}( 1 + 2 T^{2} + 4 T^{4} )^{2}$$)($$( 1 - 2 T^{2} + 4 T^{4} )^{4}$$)($$( 1 + 2 T^{2} + 4 T^{4} )^{2}$$)($$( 1 + 2 T^{2} + 4 T^{4} )^{2}$$)($$( 1 + 2 T^{2} )^{2}( 1 - 2 T^{2} + 4 T^{4} )$$)($$( 1 + 2 T^{2} + 4 T^{4} )^{4}$$)($$1 + 2 T^{2} + 2 T^{4} - 12 T^{5} - 24 T^{7} - 8 T^{8} - 24 T^{9} + 52 T^{10} + 24 T^{11} + 148 T^{12} + 48 T^{13} + 208 T^{14} - 192 T^{15} - 128 T^{16} - 768 T^{17} - 1536 T^{19} + 512 T^{20} + 2048 T^{22} + 4096 T^{24}$$)($$1 + 2 T^{2} + 2 T^{4} + 12 T^{5} + 24 T^{7} - 8 T^{8} + 24 T^{9} + 52 T^{10} - 24 T^{11} + 148 T^{12} - 48 T^{13} + 208 T^{14} + 192 T^{15} - 128 T^{16} + 768 T^{17} + 1536 T^{19} + 512 T^{20} + 2048 T^{22} + 4096 T^{24}$$)($$1 + 2 T^{2} - 6 T^{4} - 20 T^{6} + 11 T^{8} + 84 T^{10} + 70 T^{12} - 172 T^{14} - 543 T^{16} - 688 T^{18} + 1120 T^{20} + 5376 T^{22} + 2816 T^{24} - 20480 T^{26} - 24576 T^{28} + 32768 T^{30} + 65536 T^{32}$$)($$1 + 2 T^{2} - 6 T^{4} - 20 T^{6} + 11 T^{8} + 84 T^{10} + 70 T^{12} - 172 T^{14} - 543 T^{16} - 688 T^{18} + 1120 T^{20} + 5376 T^{22} + 2816 T^{24} - 20480 T^{26} - 24576 T^{28} + 32768 T^{30} + 65536 T^{32}$$)
$3$ ()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()
$5$ ()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()
$7$ ($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 + T$$)($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 + T )^{3}$$)($$( 1 - T )^{3}$$)($$( 1 + T )^{4}$$)($$( 1 - T )^{4}$$)($$( 1 - 7 T^{2} )^{2}$$)($$( 1 + 2 T + 7 T^{2} )^{2}$$)($$( 1 + 2 T + 7 T^{2} )^{2}$$)($$( 1 + T + 7 T^{2} )^{2}$$)($$( 1 - T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} )^{4}$$)($$( 1 - 7 T^{2} )^{4}$$)($$( 1 + 4 T^{2} + 6 T^{4} + 196 T^{6} + 2401 T^{8} )^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{2}$$)($$( 1 + T^{2} )^{4}$$)($$( 1 - 10 T^{2} + 49 T^{4} )^{2}$$)($$( 1 - 13 T^{2} + 49 T^{4} )^{2}$$)($$( 1 - 10 T^{2} + 49 T^{4} )^{2}$$)($$( 1 + 7 T^{2} )^{4}$$)($$( 1 + 7 T^{2} )^{8}$$)($$( 1 + T^{4} )^{2}$$)($$( 1 + T^{4} )^{2}$$)($$( 1 + T^{4} )^{3}$$)($$( 1 + T^{4} )^{3}$$)($$( 1 + T^{4} )^{4}$$)($$( 1 + T^{4} )^{4}$$)($$( 1 - 13 T^{2} + 49 T^{4} )^{2}$$)($$( 1 + 2 T^{2} + 49 T^{4} )^{2}$$)($$( 1 + 4 T + 7 T^{2} )^{2}$$)($$( 1 - 4 T + 7 T^{2} )^{2}$$)($$( 1 - T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} + 49 T^{4} )^{2}$$)($$1 - 2 T - T^{2} - 6 T^{3} + 130 T^{4} - 130 T^{5} - 131 T^{6} - 910 T^{7} + 6370 T^{8} - 2058 T^{9} - 2401 T^{10} - 33614 T^{11} + 117649 T^{12}$$)($$1 - 2 T - T^{2} - 6 T^{3} + 130 T^{4} - 130 T^{5} - 131 T^{6} - 910 T^{7} + 6370 T^{8} - 2058 T^{9} - 2401 T^{10} - 33614 T^{11} + 117649 T^{12}$$)($$( 1 + 4 T + 4 T^{2} - 26 T^{3} - 143 T^{4} - 182 T^{5} + 196 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2}$$)($$( 1 - 4 T + 4 T^{2} + 26 T^{3} - 143 T^{4} + 182 T^{5} + 196 T^{6} - 1372 T^{7} + 2401 T^{8} )^{2}$$)
$11$ ($$1 - 3 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 4 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 - 6 T + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 - 6 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 - 2 T + 3 T^{2} - 22 T^{3} + 121 T^{4}$$)($$1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 21 T^{2} + 44 T^{3} + 121 T^{4}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$1 + T + 18 T^{2} + 11 T^{3} + 121 T^{4}$$)($$1 + 10 T^{2} + 121 T^{4}$$)($$1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 + 4 T + 21 T^{2} + 44 T^{3} + 121 T^{4}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4}$$)($$1 - 2 T + 3 T^{2} - 22 T^{3} + 121 T^{4}$$)($$( 1 + 2 T + 11 T^{2} )^{3}$$)($$( 1 + 2 T + 11 T^{2} )^{3}$$)($$1 + 2 T^{2} + 127 T^{4} + 242 T^{6} + 14641 T^{8}$$)($$1 + 2 T^{2} + 127 T^{4} + 242 T^{6} + 14641 T^{8}$$)($$1 - 206 T^{4} + 14641 T^{8}$$)($$1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8}$$)($$1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8}$$)($$( 1 - 20 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 20 T^{2} + 121 T^{4} )^{2}$$)($$1 + 206 T^{4} + 27795 T^{8} + 3016046 T^{12} + 214358881 T^{16}$$)($$1 + 206 T^{4} + 27795 T^{8} + 3016046 T^{12} + 214358881 T^{16}$$)($$( 1 - 20 T^{2} + 121 T^{4} )^{8}$$)($$( 1 + 4 T + 11 T^{2} )^{2}$$)($$( 1 + 11 T^{2} )^{2}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + T + 18 T^{2} + 11 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 2 T + 3 T^{2} - 22 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 3 T + 11 T^{2} )^{4}$$)($$( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 10 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 4 T + 21 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 2 T^{2} + 127 T^{4} + 242 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 20 T^{2} + 121 T^{4} )^{4}$$)($$( 1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 206 T^{4} + 14641 T^{8} )^{2}$$)($$( 1 + 206 T^{4} + 27795 T^{8} + 3016046 T^{12} + 214358881 T^{16} )^{2}$$)($$( 1 - 16 T^{2} + 121 T^{4} )^{4}$$)($$( 1 - 16 T^{2} + 121 T^{4} )^{4}$$)($$1 - 52 T^{2} + 1458 T^{4} - 30084 T^{6} + 494911 T^{8} - 6805160 T^{10} + 80542716 T^{12} - 823424360 T^{14} + 7245991951 T^{16} - 53295641124 T^{18} + 312535248498 T^{20} - 1348746079252 T^{22} + 3138428376721 T^{24}$$)($$1 - 52 T^{2} + 1458 T^{4} - 30084 T^{6} + 494911 T^{8} - 6805160 T^{10} + 80542716 T^{12} - 823424360 T^{14} + 7245991951 T^{16} - 53295641124 T^{18} + 312535248498 T^{20} - 1348746079252 T^{22} + 3138428376721 T^{24}$$)($$( 1 - 40 T^{2} + 790 T^{4} - 12352 T^{6} + 157771 T^{8} - 1494592 T^{10} + 11566390 T^{12} - 70862440 T^{14} + 214358881 T^{16} )^{2}$$)($$( 1 - 40 T^{2} + 790 T^{4} - 12352 T^{6} + 157771 T^{8} - 1494592 T^{10} + 11566390 T^{12} - 70862440 T^{14} + 214358881 T^{16} )^{2}$$)($$( 1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 + 4 T^{2} - 105 T^{4} + 484 T^{6} + 14641 T^{8} )^{2}$$)($$1 + 4 T^{2} - 105 T^{4} + 484 T^{6} + 14641 T^{8}$$)($$1 + 4 T^{2} - 105 T^{4} + 484 T^{6} + 14641 T^{8}$$)($$1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8}$$)($$( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2}( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2}$$)($$1 + 12 T + 104 T^{2} + 672 T^{3} + 3641 T^{4} + 16332 T^{5} + 62340 T^{6} + 195852 T^{7} + 477010 T^{8} + 649368 T^{9} - 1262450 T^{10} - 12891636 T^{11} - 53694803 T^{12} - 141807996 T^{13} - 152756450 T^{14} + 864308808 T^{15} + 6983903410 T^{16} + 31542160452 T^{17} + 110439112740 T^{18} + 318264476772 T^{19} + 780480685721 T^{20} + 1584540848352 T^{21} + 2697492158504 T^{22} + 3423740047332 T^{23} + 3138428376721 T^{24}$$)($$1 - 12 T + 104 T^{2} - 672 T^{3} + 3641 T^{4} - 16332 T^{5} + 62340 T^{6} - 195852 T^{7} + 477010 T^{8} - 649368 T^{9} - 1262450 T^{10} + 12891636 T^{11} - 53694803 T^{12} + 141807996 T^{13} - 152756450 T^{14} - 864308808 T^{15} + 6983903410 T^{16} - 31542160452 T^{17} + 110439112740 T^{18} - 318264476772 T^{19} + 780480685721 T^{20} - 1584540848352 T^{21} + 2697492158504 T^{22} - 3423740047332 T^{23} + 3138428376721 T^{24}$$)($$1 + 38 T^{2} + 624 T^{4} + 5140 T^{6} + 15002 T^{8} - 146958 T^{10} - 223400 T^{12} + 62692658 T^{14} + 1151697111 T^{16} + 7585811618 T^{18} - 3270799400 T^{20} - 260345061438 T^{22} + 3215811932762 T^{24} + 133318362449140 T^{26} + 1958379307073904 T^{28} + 14430493676163158 T^{30} + 45949729863572161 T^{32}$$)($$1 + 38 T^{2} + 624 T^{4} + 5140 T^{6} + 15002 T^{8} - 146958 T^{10} - 223400 T^{12} + 62692658 T^{14} + 1151697111 T^{16} + 7585811618 T^{18} - 3270799400 T^{20} - 260345061438 T^{22} + 3215811932762 T^{24} + 133318362449140 T^{26} + 1958379307073904 T^{28} + 14430493676163158 T^{30} + 45949729863572161 T^{32}$$)
$13$ ($$1 - T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 2 T + 13 T^{2}$$)($$1 + 4 T + 13 T^{2}$$)($$1 - 2 T + 13 T^{2}$$)($$1 + 5 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 6 T + 13 T^{2}$$)($$1 + 2 T + 13 T^{2}$$)($$1 + 4 T + 13 T^{2}$$)($$1 + T + 13 T^{2}$$)($$1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4}$$)($$1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4}$$)($$1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4}$$)($$1 - 2 T + 14 T^{2} - 26 T^{3} + 169 T^{4}$$)($$1 + 5 T + 28 T^{2} + 65 T^{3} + 169 T^{4}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$1 + 6 T^{2} + 169 T^{4}$$)($$1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4}$$)($$1 + 2 T + 14 T^{2} + 26 T^{3} + 169 T^{4}$$)($$1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4}$$)($$1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4}$$)($$1 + 6 T + 35 T^{2} + 148 T^{3} + 455 T^{4} + 1014 T^{5} + 2197 T^{6}$$)($$1 - 6 T + 35 T^{2} - 148 T^{3} + 455 T^{4} - 1014 T^{5} + 2197 T^{6}$$)($$( 1 - 2 T - 2 T^{2} - 26 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 2 T - 2 T^{2} + 26 T^{3} + 169 T^{4} )^{2}$$)($$( 1 - 13 T^{2} )^{4}$$)($$1 - 4 T^{2} - 90 T^{4} - 676 T^{6} + 28561 T^{8}$$)($$1 - 4 T^{2} - 90 T^{4} - 676 T^{6} + 28561 T^{8}$$)($$( 1 - 5 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2}$$)($$( 1 - 5 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2}$$)($$( 1 - 13 T^{2} )^{8}$$)($$( 1 - 13 T^{2} )^{8}$$)($$( 1 - 20 T^{2} + 222 T^{4} - 3380 T^{6} + 28561 T^{8} )^{4}$$)($$1 - 22 T^{2} + 169 T^{4}$$)($$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$$)($$1 - T^{2} + 169 T^{4}$$)($$( 1 - 6 T^{2} + 169 T^{4} )^{2}$$)($$1 - 31 T^{2} + 472 T^{4} - 5239 T^{6} + 28561 T^{8}$$)($$1 - 24 T^{2} + 302 T^{4} - 4056 T^{6} + 28561 T^{8}$$)($$1 - 24 T^{2} + 430 T^{4} - 4056 T^{6} + 28561 T^{8}$$)($$1 - 28 T^{2} + 406 T^{4} - 4732 T^{6} + 28561 T^{8}$$)($$( 1 - 22 T^{2} + 169 T^{4} )^{2}$$)($$1 - 28 T^{2} + 406 T^{4} - 4732 T^{6} + 28561 T^{8}$$)($$1 - 40 T^{2} + 718 T^{4} - 6760 T^{6} + 28561 T^{8}$$)($$( 1 + 8 T^{2} + 238 T^{4} + 1352 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 4 T^{2} - 90 T^{4} + 676 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 - T^{2} + 169 T^{4} )^{4}$$)($$( 1 + 4 T^{2} - 90 T^{4} + 676 T^{6} + 28561 T^{8} )^{2}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 + 13 T^{2} )^{16}$$)($$1 - 92 T^{4} - 17562 T^{8} - 2627612 T^{12} + 815730721 T^{16}$$)($$1 - 92 T^{4} - 17562 T^{8} - 2627612 T^{12} + 815730721 T^{16}$$)($$1 - 4 T + 8 T^{2} - 108 T^{3} + 298 T^{4} - 204 T^{5} + 4264 T^{6} - 17924 T^{7} + 42687 T^{8} - 200904 T^{9} + 1148048 T^{10} - 3595224 T^{11} + 7337420 T^{12} - 46737912 T^{13} + 194020112 T^{14} - 441386088 T^{15} + 1219183407 T^{16} - 6655055732 T^{17} + 20581513576 T^{18} - 12800697468 T^{19} + 243087754858 T^{20} - 1145285932284 T^{21} + 1102867934792 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24}$$)($$1 - 4 T + 8 T^{2} - 108 T^{3} + 298 T^{4} - 204 T^{5} + 4264 T^{6} - 17924 T^{7} + 42687 T^{8} - 200904 T^{9} + 1148048 T^{10} - 3595224 T^{11} + 7337420 T^{12} - 46737912 T^{13} + 194020112 T^{14} - 441386088 T^{15} + 1219183407 T^{16} - 6655055732 T^{17} + 20581513576 T^{18} - 12800697468 T^{19} + 243087754858 T^{20} - 1145285932284 T^{21} + 1102867934792 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24}$$)($$1 + 8 T^{4} + 604 T^{8} - 1145416 T^{12} - 1263574010 T^{16} - 32714226376 T^{20} + 492701355484 T^{24} + 186384680979848 T^{28} + 665416609183179841 T^{32}$$)($$1 + 8 T^{4} + 604 T^{8} - 1145416 T^{12} - 1263574010 T^{16} - 32714226376 T^{20} + 492701355484 T^{24} + 186384680979848 T^{28} + 665416609183179841 T^{32}$$)($$( 1 - T^{2} + 169 T^{4} )^{4}$$)($$( 1 + 14 T^{2} + 169 T^{4} )^{4}$$)($$( 1 - 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 5 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2}$$)($$( 1 - 19 T^{2} + 169 T^{4} )^{4}$$)($$1 - 54 T^{2} + 1725 T^{4} - 42910 T^{6} + 855078 T^{8} - 14180646 T^{10} + 200139573 T^{12} - 2396529174 T^{14} + 24421882758 T^{16} - 207118374190 T^{18} + 1407135493725 T^{20} - 7444358559846 T^{22} + 23298085122481 T^{24}$$)($$1 - 54 T^{2} + 1725 T^{4} - 42910 T^{6} + 855078 T^{8} - 14180646 T^{10} + 200139573 T^{12} - 2396529174 T^{14} + 24421882758 T^{16} - 207118374190 T^{18} + 1407135493725 T^{20} - 7444358559846 T^{22} + 23298085122481 T^{24}$$)($$( 1 - 68 T^{2} + 2146 T^{4} - 43136 T^{6} + 637867 T^{8} - 7289984 T^{10} + 61291906 T^{12} - 328223012 T^{14} + 815730721 T^{16} )^{2}$$)($$( 1 - 68 T^{2} + 2146 T^{4} - 43136 T^{6} + 637867 T^{8} - 7289984 T^{10} + 61291906 T^{12} - 328223012 T^{14} + 815730721 T^{16} )^{2}$$)
$17$ ($$1 + 7 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 + 6 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 - 4 T + 17 T^{2}$$)($$1 - 3 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 4 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 - 7 T + 17 T^{2}$$)($$1 - 2 T - 10 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 + 4 T + 6 T^{2} + 68 T^{3} + 289 T^{4}$$)($$1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4}$$)($$1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4}$$)($$1 + 5 T + 36 T^{2} + 85 T^{3} + 289 T^{4}$$)($$1 + 22 T^{2} + 289 T^{4}$$)($$( 1 + 2 T + 17 T^{2} )^{2}$$)($$1 + 4 T + 18 T^{2} + 68 T^{3} + 289 T^{4}$$)($$1 - 2 T + 22 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4}$$)($$1 + 2 T - 10 T^{2} + 34 T^{3} + 289 T^{4}$$)($$1 + 35 T^{2} + 16 T^{3} + 595 T^{4} + 4913 T^{6}$$)($$1 + 35 T^{2} - 16 T^{3} + 595 T^{4} + 4913 T^{6}$$)($$1 + 32 T^{2} + 718 T^{4} + 9248 T^{6} + 83521 T^{8}$$)($$1 + 32 T^{2} + 718 T^{4} + 9248 T^{6} + 83521 T^{8}$$)($$( 1 + 17 T^{2} )^{4}$$)($$( 1 + 22 T^{2} + 289 T^{4} )^{2}$$)($$( 1 + 22 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 20 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 20 T^{2} + 289 T^{4} )^{2}$$)($$( 1 + 17 T^{2} )^{8}$$)($$( 1 + 17 T^{2} )^{8}$$)($$( 1 + 4 T^{2} + 558 T^{4} + 1156 T^{6} + 83521 T^{8} )^{4}$$)($$1 + 2 T^{2} + 289 T^{4}$$)($$( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} )$$)($$1 - 25 T^{2} + 289 T^{4}$$)($$( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2}$$)($$1 - 47 T^{2} + 1024 T^{4} - 13583 T^{6} + 83521 T^{8}$$)($$1 + 24 T^{2} + 542 T^{4} + 6936 T^{6} + 83521 T^{8}$$)($$1 - 40 T^{2} + 926 T^{4} - 11560 T^{6} + 83521 T^{8}$$)($$1 + 4 T^{2} + 70 T^{4} + 1156 T^{6} + 83521 T^{8}$$)($$( 1 - 22 T^{2} + 289 T^{4} )^{2}$$)($$1 + 4 T^{2} + 70 T^{4} + 1156 T^{6} + 83521 T^{8}$$)($$1 - 20 T^{2} + 358 T^{4} - 5780 T^{6} + 83521 T^{8}$$)($$( 1 - 32 T^{2} + 718 T^{4} - 9248 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 22 T^{2} + 289 T^{4} )^{4}$$)($$( 1 + 20 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - 22 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - 17 T^{2} )^{8}$$)($$( 1 - 17 T^{2} )^{16}$$)($$( 1 + 4 T + 8 T^{2} + 68 T^{3} + 289 T^{4} )^{4}$$)($$( 1 - 4 T + 8 T^{2} - 68 T^{3} + 289 T^{4} )^{4}$$)($$1 + 8 T + 32 T^{2} + 232 T^{3} + 1238 T^{4} + 3432 T^{5} + 14752 T^{6} + 67976 T^{7} + 254479 T^{8} + 1447664 T^{9} + 6834752 T^{10} + 33133872 T^{11} + 165039860 T^{12} + 563275824 T^{13} + 1975243328 T^{14} + 7112373232 T^{15} + 21254340559 T^{16} + 96516199432 T^{17} + 356077417888 T^{18} + 1408282325736 T^{19} + 8635987711958 T^{20} + 27512387347304 T^{21} + 64511804814368 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24}$$)($$1 - 8 T + 32 T^{2} - 232 T^{3} + 1238 T^{4} - 3432 T^{5} + 14752 T^{6} - 67976 T^{7} + 254479 T^{8} - 1447664 T^{9} + 6834752 T^{10} - 33133872 T^{11} + 165039860 T^{12} - 563275824 T^{13} + 1975243328 T^{14} - 7112373232 T^{15} + 21254340559 T^{16} - 96516199432 T^{17} + 356077417888 T^{18} - 1408282325736 T^{19} + 8635987711958 T^{20} - 27512387347304 T^{21} + 64511804814368 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24}$$)($$( 1 - 4 T + 8 T^{2} - 36 T^{3} - 412 T^{4} + 1492 T^{5} - 2024 T^{6} + 1332 T^{7} + 90694 T^{8} + 22644 T^{9} - 584936 T^{10} + 7330196 T^{11} - 34410652 T^{12} - 51114852 T^{13} + 193100552 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} )^{2}$$)($$( 1 + 4 T + 8 T^{2} + 36 T^{3} - 412 T^{4} - 1492 T^{5} - 2024 T^{6} - 1332 T^{7} + 90694 T^{8} - 22644 T^{9} - 584936 T^{10} - 7330196 T^{11} - 34410652 T^{12} + 51114852 T^{13} + 193100552 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} )^{2}$$)($$( 1 + 10 T^{2} - 189 T^{4} + 2890 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 20 T^{2} + 111 T^{4} - 5780 T^{6} + 83521 T^{8} )^{2}$$)($$1 + 20 T^{2} + 111 T^{4} + 5780 T^{6} + 83521 T^{8}$$)($$1 + 20 T^{2} + 111 T^{4} + 5780 T^{6} + 83521 T^{8}$$)($$1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8}$$)($$( 1 - 20 T^{2} + 111 T^{4} - 5780 T^{6} + 83521 T^{8} )^{2}$$)($$1 - 42 T^{2} + 120 T^{3} + 831 T^{4} - 5256 T^{5} - 3958 T^{6} + 127332 T^{7} - 227496 T^{8} - 2018952 T^{9} + 9082140 T^{10} + 14965308 T^{11} - 192427863 T^{12} + 254410236 T^{13} + 2624738460 T^{14} - 9919111176 T^{15} - 19000693416 T^{16} + 180793231524 T^{17} - 95536498102 T^{18} - 2156740065288 T^{19} + 5796854433471 T^{20} + 14230545179640 T^{21} - 84671743818858 T^{22} + 582622237229761 T^{24}$$)($$1 - 42 T^{2} - 120 T^{3} + 831 T^{4} + 5256 T^{5} - 3958 T^{6} - 127332 T^{7} - 227496 T^{8} + 2018952 T^{9} + 9082140 T^{10} - 14965308 T^{11} - 192427863 T^{12} - 254410236 T^{13} + 2624738460 T^{14} + 9919111176 T^{15} - 19000693416 T^{16} - 180793231524 T^{17} - 95536498102 T^{18} + 2156740065288 T^{19} + 5796854433471 T^{20} - 14230545179640 T^{21} - 84671743818858 T^{22} + 582622237229761 T^{24}$$)($$1 - 82 T^{2} + 3288 T^{4} - 91868 T^{6} + 2140106 T^{8} - 45216606 T^{10} + 875760904 T^{12} - 15517704646 T^{14} + 263733650775 T^{16} - 4484616642694 T^{18} + 73144426462984 T^{20} - 1091418947270814 T^{22} + 14928860354028746 T^{24} - 185205327646448732 T^{26} + 1915661916011454168 T^{28} - 13806981777870876178 T^{30} + 48661191875666868481 T^{32}$$)($$1 - 82 T^{2} + 3288 T^{4} - 91868 T^{6} + 2140106 T^{8} - 45216606 T^{10} + 875760904 T^{12} - 15517704646 T^{14} + 263733650775 T^{16} - 4484616642694 T^{18} + 73144426462984 T^{20} - 1091418947270814 T^{22} + 14928860354028746 T^{24} - 185205327646448732 T^{26} + 1915661916011454168 T^{28} - 13806981777870876178 T^{30} + 48661191875666868481 T^{32}$$)
$19$ ($$1 + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 - 4 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 - 2 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 8 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 2 T + 34 T^{2} + 38 T^{3} + 361 T^{4}$$)($$1 + 30 T^{2} + 361 T^{4}$$)($$1 + 18 T^{2} + 361 T^{4}$$)($$1 - 6 T + 34 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 + 6 T + 30 T^{2} + 114 T^{3} + 361 T^{4}$$)($$( 1 + 4 T + 19 T^{2} )^{2}$$)($$1 - 4 T + 22 T^{2} - 76 T^{3} + 361 T^{4}$$)($$1 + 18 T^{2} + 361 T^{4}$$)($$1 - 6 T + 34 T^{2} - 114 T^{3} + 361 T^{4}$$)($$1 + 30 T^{2} + 361 T^{4}$$)($$1 + 2 T + 34 T^{2} + 38 T^{3} + 361 T^{4}$$)($$1 - 6 T + 53 T^{2} - 188 T^{3} + 1007 T^{4} - 2166 T^{5} + 6859 T^{6}$$)($$1 - 6 T + 53 T^{2} - 188 T^{3} + 1007 T^{4} - 2166 T^{5} + 6859 T^{6}$$)($$( 1 - 6 T + 18 T^{2} - 114 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 6 T + 18 T^{2} - 114 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 19 T^{2} )^{4}$$)($$1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8}$$)($$1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8}$$)($$( 1 - 7 T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2}$$)($$( 1 - 7 T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2}$$)($$( 1 - 19 T^{2} )^{8}$$)($$( 1 - 19 T^{2} )^{8}$$)($$( 1 - 4 T^{2} + 510 T^{4} - 1444 T^{6} + 130321 T^{8} )^{4}$$)($$( 1 + 4 T + 19 T^{2} )^{2}$$)($$( 1 - 8 T + 19 T^{2} )^{2}$$)($$( 1 + 2 T + 19 T^{2} )^{2}$$)($$( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 6 T + 30 T^{2} - 114 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4} )^{2}$$)($$( 1 + 6 T + 34 T^{2} + 114 T^{3} + 361 T^{4} )^{2}$$)($$( 1 + 30 T^{2} + 361 T^{4} )^{2}$$)($$( 1 - 4 T + 19 T^{2} )^{4}$$)($$( 1 + 30 T^{2} + 361 T^{4} )^{2}$$)($$( 1 + 18 T^{2} + 361 T^{4} )^{2}$$)($$( 1 + 6 T + 18 T^{2} + 114 T^{3} + 361 T^{4} )^{4}$$)($$( 1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 - 7 T + 19 T^{2} )^{4}( 1 + 7 T + 19 T^{2} )^{4}$$)($$( 1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 - 19 T^{2} )^{8}$$)($$( 1 - 19 T^{2} )^{16}$$)($$( 1 - 34 T^{2} + 361 T^{4} )^{4}$$)($$( 1 - 34 T^{2} + 361 T^{4} )^{4}$$)($$1 - 84 T^{2} + 4642 T^{4} - 179332 T^{6} + 5560223 T^{8} - 138383432 T^{10} + 2894445596 T^{12} - 49956418952 T^{14} + 724613821583 T^{16} - 8436831931492 T^{18} + 78837699636322 T^{20} - 515009565655284 T^{22} + 2213314919066161 T^{24}$$)($$1 - 84 T^{2} + 4642 T^{4} - 179332 T^{6} + 5560223 T^{8} - 138383432 T^{10} + 2894445596 T^{12} - 49956418952 T^{14} + 724613821583 T^{16} - 8436831931492 T^{18} + 78837699636322 T^{20} - 515009565655284 T^{22} + 2213314919066161 T^{24}$$)($$( 1 - 16 T^{2} + 796 T^{4} - 20848 T^{6} + 311782 T^{8} - 7526128 T^{10} + 103735516 T^{12} - 752734096 T^{14} + 16983563041 T^{16} )^{2}$$)($$( 1 - 16 T^{2} + 796 T^{4} - 20848 T^{6} + 311782 T^{8} - 7526128 T^{10} + 103735516 T^{12} - 752734096 T^{14} + 16983563041 T^{16} )^{2}$$)($$( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{4}$$)($$( 1 + 12 T + 67 T^{2} + 228 T^{3} + 361 T^{4} )^{4}$$)($$( 1 - 12 T + 67 T^{2} - 228 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 12 T + 67 T^{2} - 228 T^{3} + 361 T^{4} )^{2}$$)($$( 1 - 3 T + 22 T^{2} - 57 T^{3} + 361 T^{4} )^{2}$$)($$( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{4}$$)($$1 - 6 T + 75 T^{2} - 378 T^{3} + 2703 T^{4} - 15096 T^{5} + 85196 T^{6} - 494928 T^{7} + 2381289 T^{8} - 12436578 T^{9} + 56967225 T^{10} - 267312150 T^{11} + 1188448446 T^{12} - 5078930850 T^{13} + 20565168225 T^{14} - 85302488502 T^{15} + 310331963769 T^{16} - 1225490725872 T^{17} + 4008120877676 T^{18} - 13493887771944 T^{19} + 45906570899823 T^{20} - 121975949760462 T^{21} + 459829969335075 T^{22} - 698941553389314 T^{23} + 2213314919066161 T^{24}$$)($$1 - 6 T + 75 T^{2} - 378 T^{3} + 2703 T^{4} - 15096 T^{5} + 85196 T^{6} - 494928 T^{7} + 2381289 T^{8} - 12436578 T^{9} + 56967225 T^{10} - 267312150 T^{11} + 1188448446 T^{12} - 5078930850 T^{13} + 20565168225 T^{14} - 85302488502 T^{15} + 310331963769 T^{16} - 1225490725872 T^{17} + 4008120877676 T^{18} - 13493887771944 T^{19} + 45906570899823 T^{20} - 121975949760462 T^{21} + 459829969335075 T^{22} - 698941553389314 T^{23} + 2213314919066161 T^{24}$$)($$( 1 + 18 T + 196 T^{2} + 1584 T^{3} + 10591 T^{4} + 63342 T^{5} + 346888 T^{6} + 1747512 T^{7} + 8010724 T^{8} + 33202728 T^{9} + 125226568 T^{10} + 434462778 T^{11} + 1380229711 T^{12} + 3922140816 T^{13} + 9220992676 T^{14} + 16089691302 T^{15} + 16983563041 T^{16} )^{2}$$)($$( 1 + 18 T + 196 T^{2} + 1584 T^{3} + 10591 T^{4} + 63342 T^{5} + 346888 T^{6} + 1747512 T^{7} + 8010724 T^{8} + 33202728 T^{9} + 125226568 T^{10} + 434462778 T^{11} + 1380229711 T^{12} + 3922140816 T^{13} + 9220992676 T^{14} + 16089691302 T^{15} + 16983563041 T^{16} )^{2}$$)
$23$ ($$1 + 6 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 6 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 - 8 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 - 6 T + 23 T^{2}$$)($$( 1 + 5 T + 23 T^{2} )^{2}$$)($$1 + 4 T + 18 T^{2} + 92 T^{3} + 529 T^{4}$$)($$1 + 8 T + 57 T^{2} + 184 T^{3} + 529 T^{4}$$)($$1 + 2 T - 5 T^{2} + 46 T^{3} + 529 T^{4}$$)($$1 + 2 T + 30 T^{2} + 46 T^{3} + 529 T^{4}$$)($$1 + 34 T^{2} + 529 T^{4}$$)($$( 1 - 4 T + 23 T^{2} )^{2}$$)($$1 - 8 T + 57 T^{2} - 184 T^{3} + 529 T^{4}$$)($$1 - 2 T - 5 T^{2} - 46 T^{3} + 529 T^{4}$$)($$1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4}$$)($$( 1 - 5 T + 23 T^{2} )^{2}$$)($$1 + 4 T + 61 T^{2} + 168 T^{3} + 1403 T^{4} + 2116 T^{5} + 12167 T^{6}$$)($$1 - 4 T + 61 T^{2} - 168 T^{3} + 1403 T^{4} - 2116 T^{5} + 12167 T^{6}$$)($$1 + 50 T^{2} + 1567 T^{4} + 26450 T^{6} + 279841 T^{8}$$)($$1 + 50 T^{2} + 1567 T^{4} + 26450 T^{6} + 279841 T^{8}$$)($$1 - 734 T^{4} + 279841 T^{8}$$)($$( 1 - 44 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 44 T^{2} + 529 T^{4} )^{2}$$)($$( 1 + 4 T^{2} + 529 T^{4} )^{2}$$)($$( 1 + 4 T^{2} + 529 T^{4} )^{2}$$)($$1 + 734 T^{4} + 258915 T^{8} + 205403294 T^{12} + 78310985281 T^{16}$$)($$1 + 734 T^{4} + 258915 T^{8} + 205403294 T^{12} + 78310985281 T^{16}$$)($$( 1 - 56 T^{2} + 1818 T^{4} - 29624 T^{6} + 279841 T^{8} )^{4}$$)($$( 1 - 23 T^{2} )^{2}$$)($$1 + 18 T^{2} + 529 T^{4}$$)($$1 - 10 T^{2} + 529 T^{4}$$)($$( 1 - 30 T^{2} + 529 T^{4} )^{2}$$)($$1 - 56 T^{2} + 1774 T^{4} - 29624 T^{6} + 279841 T^{8}$$)($$( 1 - 21 T^{2} + 529 T^{4} )^{2}$$)($$1 + 14 T^{2} + 899 T^{4} + 7406 T^{6} + 279841 T^{8}$$)($$1 - 20 T^{2} + 646 T^{4} - 10580 T^{6} + 279841 T^{8}$$)($$( 1 - 34 T^{2} + 529 T^{4} )^{2}$$)($$1 - 20 T^{2} + 646 T^{4} - 10580 T^{6} + 279841 T^{8}$$)($$1 - 50 T^{2} + 1363 T^{4} - 26450 T^{6} + 279841 T^{8}$$)($$( 1 - 50 T^{2} + 1567 T^{4} - 26450 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 44 T^{2} + 529 T^{4} )^{4}$$)($$( 1 - 4 T^{2} + 529 T^{4} )^{4}$$)($$( 1 + 44 T^{2} + 529 T^{4} )^{4}$$)($$( 1 - 734 T^{4} + 279841 T^{8} )^{2}$$)($$( 1 + 734 T^{4} + 258915 T^{8} + 205403294 T^{12} + 78310985281 T^{16} )^{2}$$)($$( 1 - 12 T + 72 T^{2} - 204 T^{3} + 542 T^{4} - 4692 T^{5} + 38088 T^{6} - 146004 T^{7} + 279841 T^{8} )^{2}$$)($$( 1 + 12 T + 72 T^{2} + 204 T^{3} + 542 T^{4} + 4692 T^{5} + 38088 T^{6} + 146004 T^{7} + 279841 T^{8} )^{2}$$)($$1 + 8 T + 32 T^{2} + 184 T^{3} + 518 T^{4} - 1752 T^{5} - 13664 T^{6} - 145640 T^{7} - 745937 T^{8} + 382288 T^{9} + 8743232 T^{10} + 77776560 T^{11} + 600339476 T^{12} + 1788860880 T^{13} + 4625169728 T^{14} + 4651298096 T^{15} - 208743756017 T^{16} - 937388994520 T^{17} - 2022762387296 T^{18} - 5965254183144 T^{19} + 40565090375558 T^{20} + 331412089709192 T^{21} + 1325648358836768 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24}$$)($$1 - 8 T + 32 T^{2} - 184 T^{3} + 518 T^{4} + 1752 T^{5} - 13664 T^{6} + 145640 T^{7} - 745937 T^{8} - 382288 T^{9} + 8743232 T^{10} - 77776560 T^{11} + 600339476 T^{12} - 1788860880 T^{13} + 4625169728 T^{14} - 4651298096 T^{15} - 208743756017 T^{16} + 937388994520 T^{17} - 2022762387296 T^{18} + 5965254183144 T^{19} + 40565090375558 T^{20} - 331412089709192 T^{21} + 1325648358836768 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24}$$)($$( 1 - 24 T + 288 T^{2} - 2568 T^{3} + 19882 T^{4} - 135216 T^{5} + 816480 T^{6} - 4528368 T^{7} + 22934091 T^{8} - 104152464 T^{9} + 431917920 T^{10} - 1645173072 T^{11} + 5563798762 T^{12} - 16528528824 T^{13} + 42634336032 T^{14} - 81715810728 T^{15} + 78310985281 T^{16} )^{2}$$)($$( 1 + 24 T + 288 T^{2} + 2568 T^{3} + 19882 T^{4} + 135216 T^{5} + 816480 T^{6} + 4528368 T^{7} + 22934091 T^{8} + 104152464 T^{9} + 431917920 T^{10} + 1645173072 T^{11} + 5563798762 T^{12} + 16528528824 T^{13} + 42634336032 T^{14} + 81715810728 T^{15} + 78310985281 T^{16} )^{2}$$)($$( 1 - 14 T^{2} - 333 T^{4} - 7406 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 26 T^{2} + 147 T^{4} + 13754 T^{6} + 279841 T^{8} )^{2}$$)($$1 - 26 T^{2} + 147 T^{4} - 13754 T^{6} + 279841 T^{8}$$)($$1 - 26 T^{2} + 147 T^{4} - 13754 T^{6} + 279841 T^{8}$$)($$1 + 14 T^{2} - 333 T^{4} + 7406 T^{6} + 279841 T^{8}$$)($$( 1 + 4 T^{2} - 513 T^{4} + 2116 T^{6} + 279841 T^{8} )^{2}$$)($$1 - 12 T + 110 T^{2} - 744 T^{3} + 3947 T^{4} - 16104 T^{5} + 39450 T^{6} + 32328 T^{7} - 1232708 T^{8} + 9040500 T^{9} - 50848868 T^{10} + 256937364 T^{11} - 1217123567 T^{12} + 5909559372 T^{13} - 26899051172 T^{14} + 109995763500 T^{15} - 344962239428 T^{16} + 208074096504 T^{17} + 5840015821050 T^{18} - 54831308998488 T^{19} + 309093458904107 T^{20} - 1340057580128472 T^{21} + 4556916233501390 T^{22} - 11433717094967124 T^{23} + 21914624432020321 T^{24}$$)($$1 + 12 T + 110 T^{2} + 744 T^{3} + 3947 T^{4} + 16104 T^{5} + 39450 T^{6} - 32328 T^{7} - 1232708 T^{8} - 9040500 T^{9} - 50848868 T^{10} - 256937364 T^{11} - 1217123567 T^{12} - 5909559372 T^{13} - 26899051172 T^{14} - 109995763500 T^{15} - 344962239428 T^{16} - 208074096504 T^{17} + 5840015821050 T^{18} + 54831308998488 T^{19} + 309093458904107 T^{20} + 1340057580128472 T^{21} + 4556916233501390 T^{22} + 11433717094967124 T^{23} + 21914624432020321 T^{24}$$)($$( 1 + 44 T^{2} + 1407 T^{4} + 23276 T^{6} + 279841 T^{8} )^{4}$$)($$( 1 + 44 T^{2} + 1407 T^{4} + 23276 T^{6} + 279841 T^{8} )^{4}$$)
$29$ ($$1 - 5 T + 29 T^{2}$$)($$1 + 8 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 - 8 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 + 3 T + 29 T^{2}$$)($$1 - 8 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 + 8 T + 29 T^{2}$$)($$1 - 5 T + 29 T^{2}$$)($$1 - 4 T + 17 T^{2} - 116 T^{3} + 841 T^{4}$$)($$( 1 - 8 T + 29 T^{2} )^{2}$$)($$( 1 + 5 T + 29 T^{2} )^{2}$$)($$1 - 8 T + 61 T^{2} - 232 T^{3} + 841 T^{4}$$)($$1 + T + 20 T^{2} + 29 T^{3} + 841 T^{4}$$)($$( 1 + 29 T^{2} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{2}$$)($$( 1 + 5 T + 29 T^{2} )^{2}$$)($$1 - 8 T + 61 T^{2} - 232 T^{3} + 841 T^{4}$$)($$( 1 + 8 T + 29 T^{2} )^{2}$$)($$1 - 4 T + 17 T^{2} - 116 T^{3} + 841 T^{4}$$)($$1 + 2 T + 35 T^{2} + 76 T^{3} + 1015 T^{4} + 1682 T^{5} + 24389 T^{6}$$)($$1 + 2 T + 35 T^{2} + 76 T^{3} + 1015 T^{4} + 1682 T^{5} + 24389 T^{6}$$)($$1 + 42 T^{2} + 1079 T^{4} + 35322 T^{6} + 707281 T^{8}$$)($$1 + 42 T^{2} + 1079 T^{4} + 35322 T^{6} + 707281 T^{8}$$)($$1 + 1234 T^{4} + 707281 T^{8}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{2}$$)($$1 - 1234 T^{4} + 815475 T^{8} - 872784754 T^{12} + 500246412961 T^{16}$$)($$1 - 1234 T^{4} + 815475 T^{8} - 872784754 T^{12} + 500246412961 T^{16}$$)($$( 1 - 16 T^{2} + 1362 T^{4} - 13456 T^{6} + 707281 T^{8} )^{4}$$)($$( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 - 3 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 29 T^{2} )^{4}$$)($$( 1 - T + 20 T^{2} - 29 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 4 T + 17 T^{2} + 116 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 8 T + 61 T^{2} + 232 T^{3} + 841 T^{4} )^{2}$$)($$( 1 - 8 T + 29 T^{2} )^{4}$$)($$( 1 + 29 T^{2} )^{4}$$)($$( 1 + 8 T + 29 T^{2} )^{4}$$)($$( 1 - 5 T + 29 T^{2} )^{4}$$)($$( 1 + 42 T^{2} + 1079 T^{4} + 35322 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{4}$$)($$( 1 + 1234 T^{4} + 707281 T^{8} )^{2}$$)($$( 1 - 1234 T^{4} + 815475 T^{8} - 872784754 T^{12} + 500246412961 T^{16} )^{2}$$)($$( 1 + 64 T^{2} + 2514 T^{4} + 53824 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 + 64 T^{2} + 2514 T^{4} + 53824 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 + 16 T + 216 T^{2} + 1904 T^{3} + 15483 T^{4} + 98368 T^{5} + 589488 T^{6} + 2852672 T^{7} + 13021203 T^{8} + 46436656 T^{9} + 152772696 T^{10} + 328178384 T^{11} + 594823321 T^{12} )^{2}$$)($$( 1 - 16 T + 216 T^{2} - 1904 T^{3} + 15483 T^{4} - 98368 T^{5} + 589488 T^{6} - 2852672 T^{7} + 13021203 T^{8} - 46436656 T^{9} + 152772696 T^{10} - 328178384 T^{11} + 594823321 T^{12} )^{2}$$)($$( 1 + 152 T^{2} + 11062 T^{4} + 514880 T^{6} + 17268331 T^{8} + 433014080 T^{10} + 7823942422 T^{12} + 90413144792 T^{14} + 500246412961 T^{16} )^{2}$$)($$( 1 + 152 T^{2} + 11062 T^{4} + 514880 T^{6} + 17268331 T^{8} + 433014080 T^{10} + 7823942422 T^{12} + 90413144792 T^{14} + 500246412961 T^{16} )^{2}$$)($$( 1 - 50 T^{2} + 841 T^{4} )^{4}$$)($$( 1 + 14 T^{2} + 841 T^{4} )^{4}$$)($$( 1 + 14 T^{2} + 841 T^{4} )^{2}$$)($$( 1 + 14 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 50 T^{2} + 841 T^{4} )^{2}$$)($$( 1 - 56 T^{2} + 841 T^{4} )^{4}$$)($$1 - 184 T^{2} + 16934 T^{4} - 1029132 T^{6} + 46624399 T^{8} - 1703051756 T^{10} + 52962115192 T^{12} - 1432266526796 T^{14} + 32976551549119 T^{16} - 612151713987372 T^{18} + 8471172757081574 T^{20} - 77410130927236984 T^{22} + 353814783205469041 T^{24}$$)($$1 - 184 T^{2} + 16934 T^{4} - 1029132 T^{6} + 46624399 T^{8} - 1703051756 T^{10} + 52962115192 T^{12} - 1432266526796 T^{14} + 32976551549119 T^{16} - 612151713987372 T^{18} + 8471172757081574 T^{20} - 77410130927236984 T^{22} + 353814783205469041 T^{24}$$)($$( 1 - 128 T^{2} + 9244 T^{4} - 439136 T^{6} + 14973286 T^{8} - 369313376 T^{10} + 6538105564 T^{12} - 76137385088 T^{14} + 500246412961 T^{16} )^{2}$$)($$( 1 - 128 T^{2} + 9244 T^{4} - 439136 T^{6} + 14973286 T^{8} - 369313376 T^{10} + 6538105564 T^{12} - 76137385088 T^{14} + 500246412961 T^{16} )^{2}$$)
$31$ ($$1 - 2 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 10 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 4 T + 31 T^{2}$$)($$1 + 10 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 2 T + 31 T^{2}$$)($$1 + 42 T^{2} + 961 T^{4}$$)($$1 - 10 T^{2} + 961 T^{4}$$)($$1 + 6 T + 26 T^{2} + 186 T^{3} + 961 T^{4}$$)($$1 + 10 T^{2} + 961 T^{4}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{2}$$)($$1 - 12 T + 78 T^{2} - 372 T^{3} + 961 T^{4}$$)($$1 + 6 T + 26 T^{2} + 186 T^{3} + 961 T^{4}$$)($$1 + 10 T^{2} + 961 T^{4}$$)($$1 - 10 T^{2} + 961 T^{4}$$)($$1 + 42 T^{2} + 961 T^{4}$$)($$1 - 2 T + 41 T^{2} + 60 T^{3} + 1271 T^{4} - 1922 T^{5} + 29791 T^{6}$$)($$1 - 2 T + 41 T^{2} + 60 T^{3} + 1271 T^{4} - 1922 T^{5} + 29791 T^{6}$$)($$( 1 - 6 T + 31 T^{2} )^{4}$$)($$( 1 - 6 T + 31 T^{2} )^{4}$$)($$( 1 - 31 T^{2} )^{4}$$)($$1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8}$$)($$1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8}$$)($$( 1 - 35 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 35 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 31 T^{2} )^{8}$$)($$( 1 - 31 T^{2} )^{8}$$)($$( 1 - 52 T^{2} + 1422 T^{4} - 49972 T^{6} + 923521 T^{8} )^{4}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 - 4 T + 31 T^{2} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 - 12 T + 78 T^{2} - 372 T^{3} + 961 T^{4} )^{2}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 42 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 10 T^{2} + 961 T^{4} )^{2}$$)($$( 1 - 10 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 4 T + 31 T^{2} )^{4}$$)($$( 1 - 10 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 6 T + 26 T^{2} + 186 T^{3} + 961 T^{4} )^{2}$$)($$( 1 - 6 T + 31 T^{2} )^{8}$$)($$( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 - 35 T^{2} + 961 T^{4} )^{4}$$)($$( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 - 31 T^{2} )^{8}$$)($$( 1 - 31 T^{2} )^{16}$$)($$( 1 - 4 T + 18 T^{2} - 124 T^{3} + 961 T^{4} )^{4}$$)($$( 1 - 4 T + 18 T^{2} - 124 T^{3} + 961 T^{4} )^{4}$$)($$( 1 + 114 T^{2} - 168 T^{3} + 6583 T^{4} - 10856 T^{5} + 253628 T^{6} - 336536 T^{7} + 6326263 T^{8} - 5004888 T^{9} + 105281394 T^{10} + 887503681 T^{12} )^{2}$$)($$( 1 + 114 T^{2} - 168 T^{3} + 6583 T^{4} - 10856 T^{5} + 253628 T^{6} - 336536 T^{7} + 6326263 T^{8} - 5004888 T^{9} + 105281394 T^{10} + 887503681 T^{12} )^{2}$$)($$( 1 + 4 T + 52 T^{2} + 292 T^{3} + 1510 T^{4} + 9052 T^{5} + 49972 T^{6} + 119164 T^{7} + 923521 T^{8} )^{4}$$)($$( 1 + 4 T + 52 T^{2} + 292 T^{3} + 1510 T^{4} + 9052 T^{5} + 49972 T^{6} + 119164 T^{7} + 923521 T^{8} )^{4}$$)($$( 1 - 7 T + 31 T^{2} )^{4}( 1 + 4 T + 31 T^{2} )^{4}$$)($$( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{4}$$)($$( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{2}$$)($$( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{2}$$)($$( 1 - 7 T + 31 T^{2} )^{2}( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{4}$$)($$1 - 6 T + 75 T^{2} - 378 T^{3} + 2451 T^{4} - 14268 T^{5} + 15464 T^{6} - 69696 T^{7} - 2002827 T^{8} + 11519550 T^{9} - 72958179 T^{10} + 685842102 T^{11} - 2463303858 T^{12} + 21261105162 T^{13} - 70112810019 T^{14} + 343178914050 T^{15} - 1849652793867 T^{16} - 1995337308096 T^{17} + 13724356922984 T^{18} - 392549978135748 T^{19} + 2090435932767891 T^{20} - 9994177176733638 T^{21} + 61472121523560075 T^{22} - 152450861378428986 T^{23} + 787662783788549761 T^{24}$$)($$1 - 6 T + 75 T^{2} - 378 T^{3} + 2451 T^{4} - 14268 T^{5} + 15464 T^{6} - 69696 T^{7} - 2002827 T^{8} + 11519550 T^{9} - 72958179 T^{10} + 685842102 T^{11} - 2463303858 T^{12} + 21261105162 T^{13} - 70112810019 T^{14} + 343178914050 T^{15} - 1849652793867 T^{16} - 1995337308096 T^{17} + 13724356922984 T^{18} - 392549978135748 T^{19} + 2090435932767891 T^{20} - 9994177176733638 T^{21} + 61472121523560075 T^{22} - 152450861378428986 T^{23} + 787662783788549761 T^{24}$$)($$( 1 + 12 T + 124 T^{2} + 912 T^{3} + 6826 T^{4} + 43740 T^{5} + 264016 T^{6} + 1524612 T^{7} + 8482819 T^{8} + 47262972 T^{9} + 253719376 T^{10} + 1303058340 T^{11} + 6303954346 T^{12} + 26109785712 T^{13} + 110050456444 T^{14} + 330151369332 T^{15} + 852891037441 T^{16} )^{2}$$)($$( 1 + 12 T + 124 T^{2} + 912 T^{3} + 6826 T^{4} + 43740 T^{5} + 264016 T^{6} + 1524612 T^{7} + 8482819 T^{8} + 47262972 T^{9} + 253719376 T^{10} + 1303058340 T^{11} + 6303954346 T^{12} + 26109785712 T^{13} + 110050456444 T^{14} + 330151369332 T^{15} + 852891037441 T^{16} )^{2}$$)
$37$ ($$1 - 2 T + 37 T^{2}$$)($$1 - 8 T + 37 T^{2}$$)($$1 + 6 T + 37 T^{2}$$)($$1 + 8 T + 37 T^{2}$$)($$1 - 4 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 8 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 + 4 T + 37 T^{2}$$)($$1 + 8 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 2 T + 55 T^{2} - 74 T^{3} + 1369 T^{4}$$)($$( 1 - 6 T + 37 T^{2} )^{2}$$)($$( 1 - 3 T + 37 T^{2} )^{2}$$)($$1 - 6 T + 31 T^{2} - 222 T^{3} + 1369 T^{4}$$)($$( 1 + 6 T + 37 T^{2} )^{2}$$)($$( 1 + 2 T + 37 T^{2} )^{2}$$)($$1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4}$$)($$( 1 + 3 T + 37 T^{2} )^{2}$$)($$1 + 6 T + 31 T^{2} + 222 T^{3} + 1369 T^{4}$$)($$( 1 - 6 T + 37 T^{2} )^{2}$$)($$1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4}$$)($$1 + 4 T + 31 T^{2} + 232 T^{3} + 1147 T^{4} + 5476 T^{5} + 50653 T^{6}$$)($$1 - 4 T + 31 T^{2} - 232 T^{3} + 1147 T^{4} - 5476 T^{5} + 50653 T^{6}$$)($$( 1 - 3 T + 37 T^{2} )^{4}$$)($$( 1 + 3 T + 37 T^{2} )^{4}$$)($$( 1 - 38 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 + 4 T + 66 T^{2} + 148 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 + 4 T + 66 T^{2} + 148 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 8 T + 37 T^{2} )^{4}$$)($$( 1 + 8 T + 37 T^{2} )^{4}$$)($$( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 + 76 T^{2} + 3318 T^{4} + 104044 T^{6} + 1874161 T^{8} )^{4}$$)($$1 - 38 T^{2} + 1369 T^{4}$$)($$( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} )$$)($$( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} )$$)($$1 + 20 T^{2} + 1558 T^{4} + 27380 T^{6} + 1874161 T^{8}$$)($$( 1 - 38 T^{2} + 1369 T^{4} )^{2}$$)($$1 - 106 T^{2} + 5467 T^{4} - 145114 T^{6} + 1874161 T^{8}$$)($$1 - 26 T^{2} + 1035 T^{4} - 35594 T^{6} + 1874161 T^{8}$$)($$( 1 - 38 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2}$$)($$( 1 - 38 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 - 65 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 - 65 T^{2} + 1369 T^{4} )^{4}$$)($$( 1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 10 T^{2} + 1369 T^{4} )^{4}$$)($$( 1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 6 T + 37 T^{2} )^{4}( 1 + 6 T + 37 T^{2} )^{4}$$)($$( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{4}( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )^{4}$$)($$1 + 292 T^{4} - 2730714 T^{8} + 547255012 T^{12} + 3512479453921 T^{16}$$)($$1 + 292 T^{4} - 2730714 T^{8} + 547255012 T^{12} + 3512479453921 T^{16}$$)($$1 + 4 T + 8 T^{2} + 28 T^{3} + 122 T^{4} + 124 T^{5} - 88 T^{6} - 102780 T^{7} - 827937 T^{8} - 2005016 T^{9} - 4255984 T^{10} - 201457960 T^{11} - 3018818132 T^{12} - 7453944520 T^{13} - 5826442096 T^{14} - 101560075448 T^{15} - 1551687235857 T^{16} - 7127171900460 T^{17} - 225783923992 T^{18} + 11771552764492 T^{19} + 428522493378362 T^{20} + 3638928714262156 T^{21} + 38468674979342792 T^{22} + 711670487117841652 T^{23} + 6582952005840035281 T^{24}$$)($$1 + 4 T + 8 T^{2} + 28 T^{3} + 122 T^{4} + 124 T^{5} - 88 T^{6} - 102780 T^{7} - 827937 T^{8} - 2005016 T^{9} - 4255984 T^{10} - 201457960 T^{11} - 3018818132 T^{12} - 7453944520 T^{13} - 5826442096 T^{14} - 101560075448 T^{15} - 1551687235857 T^{16} - 7127171900460 T^{17} - 225783923992 T^{18} + 11771552764492 T^{19} + 428522493378362 T^{20} + 3638928714262156 T^{21} + 38468674979342792 T^{22} + 711670487117841652 T^{23} + 6582952005840035281 T^{24}$$)($$1 - 1828 T^{4} + 580138 T^{8} - 1379443216 T^{12} + 4448356754803 T^{16} - 2585298677141776 T^{20} + 2037722805438821098 T^{24} -$$$$12\!\cdots\!68$$$$T^{28} +$$$$12\!\cdots\!41$$$$T^{32}$$)($$1 - 1828 T^{4} + 580138 T^{8} - 1379443216 T^{12} + 4448356754803 T^{16} - 2585298677141776 T^{20} + 2037722805438821098 T^{24} -$$$$12\!\cdots\!68$$$$T^{28} +$$$$12\!\cdots\!41$$$$T^{32}$$)($$( 1 + 26 T^{2} + 1369 T^{4} )^{2}( 1 + 47 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 + 26 T^{2} + 1369 T^{4} )^{2}( 1 + 47 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 - 11 T + 37 T^{2} )^{2}( 1 + 10 T + 37 T^{2} )^{2}$$)($$( 1 - 10 T + 37 T^{2} )^{2}( 1 + 11 T + 37 T^{2} )^{2}$$)($$( 1 - 10 T + 37 T^{2} )^{2}( 1 + 11 T + 37 T^{2} )^{2}$$)($$( 1 - 53 T^{2} + 1440 T^{4} - 72557 T^{6} + 1874161 T^{8} )^{2}$$)($$1 - 10 T - T^{2} - 206 T^{3} + 1893 T^{4} + 19356 T^{5} - 25070 T^{6} + 11384 T^{7} - 4236169 T^{8} - 22256290 T^{9} - 6662617 T^{10} + 355484390 T^{11} + 9259385786 T^{12} + 13152922430 T^{13} - 9121122673 T^{14} - 1127347857370 T^{15} - 7939262729209 T^{16} + 789411606488 T^{17} - 64322761073630 T^{18} + 1837501413786348 T^{19} + 6649123606272453 T^{20} - 26772118397785862 T^{21} - 4808584372417849 T^{22} - 1779176217794604130 T^{23} + 6582952005840035281 T^{24}$$)($$1 - 10 T - T^{2} - 206 T^{3} + 1893 T^{4} + 19356 T^{5} - 25070 T^{6} + 11384 T^{7} - 4236169 T^{8} - 22256290 T^{9} - 6662617 T^{10} + 355484390 T^{11} + 9259385786 T^{12} + 13152922430 T^{13} - 9121122673 T^{14} - 1127347857370 T^{15} - 7939262729209 T^{16} + 789411606488 T^{17} - 64322761073630 T^{18} + 1837501413786348 T^{19} + 6649123606272453 T^{20} - 26772118397785862 T^{21} - 4808584372417849 T^{22} - 1779176217794604130 T^{23} + 6582952005840035281 T^{24}$$)($$( 1 - 16 T + 54 T^{2} - 56 T^{3} + 4049 T^{4} - 16428 T^{5} - 157370 T^{6} + 483332 T^{7} + 3649380 T^{8} + 17883284 T^{9} - 215439530 T^{10} - 832127484 T^{11} + 7588477889 T^{12} - 3883261592 T^{13} + 138549226086 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} )^{2}$$)($$( 1 + 16 T + 54 T^{2} + 56 T^{3} + 4049 T^{4} + 16428 T^{5} - 157370 T^{6} - 483332 T^{7} + 3649380 T^{8} - 17883284 T^{9} - 215439530 T^{10} + 832127484 T^{11} + 7588477889 T^{12} + 3883261592 T^{13} + 138549226086 T^{14} + 1518910034128 T^{15} + 3512479453921 T^{16} )^{2}$$)
$41$ ($$1 + 2 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$1 - 4 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$1 - 12 T + 41 T^{2}$$)($$1 - 4 T + 41 T^{2}$$)($$1 - 6 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 + 2 T + 41 T^{2}$$)($$( 1 - 8 T + 41 T^{2} )^{2}$$)($$1 + 4 T + 54 T^{2} + 164 T^{3} + 1681 T^{4}$$)($$1 + 14 T + 126 T^{2} + 574 T^{3} + 1681 T^{4}$$)($$( 1 + 41 T^{2} )^{2}$$)($$1 + 2 T + 66 T^{2} + 82 T^{3} + 1681 T^{4}$$)($$1 - 26 T^{2} + 1681 T^{4}$$)($$( 1 - 2 T + 41 T^{2} )^{2}$$)($$1 + 14 T + 126 T^{2} + 574 T^{3} + 1681 T^{4}$$)($$( 1 + 41 T^{2} )^{2}$$)($$1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4}$$)($$( 1 - 8 T + 41 T^{2} )^{2}$$)($$1 + 2 T + 63 T^{2} - 36 T^{3} + 2583 T^{4} + 3362 T^{5} + 68921 T^{6}$$)($$1 + 2 T + 63 T^{2} - 36 T^{3} + 2583 T^{4} + 3362 T^{5} + 68921 T^{6}$$)($$1 + 20 T^{2} + 1606 T^{4} + 33620 T^{6} + 2825761 T^{8}$$)($$1 + 20 T^{2} + 1606 T^{4} + 33620 T^{6} + 2825761 T^{8}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 - 26 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 26 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 + 41 T^{2} )^{8}$$)($$( 1 + 41 T^{2} )^{8}$$)($$( 1 + 44 T^{2} + 3246 T^{4} + 73964 T^{6} + 2825761 T^{8} )^{4}$$)($$( 1 + 2 T + 41 T^{2} )^{2}$$)($$( 1 - 6 T + 41 T^{2} )^{2}$$)($$( 1 - 12 T + 41 T^{2} )^{2}$$)($$( 1 - 2 T + 41 T^{2} )^{4}$$)($$( 1 + 2 T + 66 T^{2} + 82 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 8 T + 41 T^{2} )^{4}$$)($$( 1 + 41 T^{2} )^{4}$$)($$( 1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 - 26 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 4 T + 54 T^{2} + 164 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 14 T + 126 T^{2} + 574 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 20 T^{2} + 1606 T^{4} + 33620 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 26 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 + 41 T^{2} )^{8}$$)($$( 1 - 26 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 + 41 T^{2} )^{8}$$)($$( 1 + 41 T^{2} )^{16}$$)($$( 1 - 100 T^{2} + 5094 T^{4} - 168100 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 100 T^{2} + 5094 T^{4} - 168100 T^{6} + 2825761 T^{8} )^{2}$$)($$1 - 232 T^{2} + 30646 T^{4} - 2820520 T^{6} + 198407727 T^{8} - 11090030832 T^{10} + 503431026356 T^{12} - 18642341828592 T^{14} + 560652817055247 T^{16} - 13397764013825320 T^{18} + 244706018571642166 T^{20} - 3114056959955357032 T^{22} + 22563490300366186081 T^{24}$$)($$1 - 232 T^{2} + 30646 T^{4} - 2820520 T^{6} + 198407727 T^{8} - 11090030832 T^{10} + 503431026356 T^{12} - 18642341828592 T^{14} + 560652817055247 T^{16} - 13397764013825320 T^{18} + 244706018571642166 T^{20} - 3114056959955357032 T^{22} + 22563490300366186081 T^{24}$$)($$( 1 - 152 T^{2} + 8572 T^{4} - 197672 T^{6} + 2694598 T^{8} - 332286632 T^{10} + 24222423292 T^{12} - 722015844632 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 - 152 T^{2} + 8572 T^{4} - 197672 T^{6} + 2694598 T^{8} - 332286632 T^{10} + 24222423292 T^{12} - 722015844632 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 + 28 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 + 28 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 + 28 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 28 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 28 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 58 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 + 12 T + 192 T^{2} + 1704 T^{3} + 18087 T^{4} + 122340 T^{5} + 939022 T^{6} + 5015940 T^{7} + 30404247 T^{8} + 117441384 T^{9} + 542546112 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} )^{2}$$)($$( 1 - 12 T + 192 T^{2} - 1704 T^{3} + 18087 T^{4} - 122340 T^{5} + 939022 T^{6} - 5015940 T^{7} + 30404247 T^{8} - 117441384 T^{9} + 542546112 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} )^{2}$$)($$( 1 + 166 T^{2} + 15208 T^{4} + 966850 T^{6} + 45385570 T^{8} + 1625274850 T^{10} + 42974173288 T^{12} + 788517304006 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 + 166 T^{2} + 15208 T^{4} + 966850 T^{6} + 45385570 T^{8} + 1625274850 T^{10} + 42974173288 T^{12} + 788517304006 T^{14} + 7984925229121 T^{16} )^{2}$$)
$43$ ($$1 + 4 T + 43 T^{2}$$)($$1 - 8 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 - 10 T + 43 T^{2}$$)($$1 - 8 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 - 12 T + 117 T^{2} - 516 T^{3} + 1849 T^{4}$$)($$1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4}$$)($$1 - 8 T + 97 T^{2} - 344 T^{3} + 1849 T^{4}$$)($$1 - 12 T + 109 T^{2} - 516 T^{3} + 1849 T^{4}$$)($$1 + 10 T + 94 T^{2} + 430 T^{3} + 1849 T^{4}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$1 + 6 T^{2} + 1849 T^{4}$$)($$1 + 8 T + 97 T^{2} + 344 T^{3} + 1849 T^{4}$$)($$1 + 12 T + 109 T^{2} + 516 T^{3} + 1849 T^{4}$$)($$1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4}$$)($$1 + 12 T + 117 T^{2} + 516 T^{3} + 1849 T^{4}$$)($$1 - 4 T - 15 T^{2} + 488 T^{3} - 645 T^{4} - 7396 T^{5} + 79507 T^{6}$$)($$1 + 4 T - 15 T^{2} - 488 T^{3} - 645 T^{4} + 7396 T^{5} + 79507 T^{6}$$)($$( 1 + 8 T + 73 T^{2} + 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 8 T + 73 T^{2} - 344 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 58 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 4 T + 42 T^{2} + 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 4 T + 42 T^{2} + 172 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 - 5 T + 43 T^{2} )^{4}$$)($$( 1 + 5 T + 43 T^{2} )^{4}$$)($$( 1 - 58 T^{2} + 1515 T^{4} - 107242 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 58 T^{2} + 1515 T^{4} - 107242 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 100 T^{2} + 6102 T^{4} + 184900 T^{6} + 3418801 T^{8} )^{4}$$)($$1 - 70 T^{2} + 1849 T^{4}$$)($$1 - 70 T^{2} + 1849 T^{4}$$)($$1 + 14 T^{2} + 1849 T^{4}$$)($$( 1 - 6 T^{2} + 1849 T^{4} )^{2}$$)($$1 - 88 T^{2} + 3934 T^{4} - 162712 T^{6} + 3418801 T^{8}$$)($$1 - 90 T^{2} + 5003 T^{4} - 166410 T^{6} + 3418801 T^{8}$$)($$1 - 74 T^{2} + 3195 T^{4} - 136826 T^{6} + 3418801 T^{8}$$)($$1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8}$$)($$( 1 - 70 T^{2} + 1849 T^{4} )^{2}$$)($$1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8}$$)($$1 - 130 T^{2} + 7603 T^{4} - 240370 T^{6} + 3418801 T^{8}$$)($$( 1 - 82 T^{2} + 3523 T^{4} - 151618 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 68 T^{2} + 4086 T^{4} - 125732 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 61 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 68 T^{2} + 4086 T^{4} - 125732 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 12 T + 43 T^{2} )^{4}( 1 + 12 T + 43 T^{2} )^{4}$$)($$( 1 - 12 T + 101 T^{2} - 516 T^{3} + 1849 T^{4} )^{4}( 1 + 12 T + 101 T^{2} + 516 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 + 1202 T^{4} + 3418801 T^{8} )^{2}$$)($$( 1 + 1202 T^{4} + 3418801 T^{8} )^{2}$$)($$1 + 40 T + 800 T^{2} + 11608 T^{3} + 144630 T^{4} + 1609192 T^{5} + 16036512 T^{6} + 146487000 T^{7} + 1250458847 T^{8} + 9986195856 T^{9} + 74890568512 T^{10} + 532487979120 T^{11} + 3591291202036 T^{12} + 22896983102160 T^{13} + 138472661178688 T^{14} + 793972473922992 T^{15} + 4275069956582447 T^{16} + 21534825789741000 T^{17} + 101372614391645088 T^{18} + 437408334444495544 T^{19} + 1690464406149432630 T^{20} + 5834095039362873544 T^{21} + 17289185850627399200 T^{22} + 37171749578848908280 T^{23} + 39959630797262576401 T^{24}$$)($$1 + 40 T + 800 T^{2} + 11608 T^{3} + 144630 T^{4} + 1609192 T^{5} + 16036512 T^{6} + 146487000 T^{7} + 1250458847 T^{8} + 9986195856 T^{9} + 74890568512 T^{10} + 532487979120 T^{11} + 3591291202036 T^{12} + 22896983102160 T^{13} + 138472661178688 T^{14} + 793972473922992 T^{15} + 4275069956582447 T^{16} + 21534825789741000 T^{17} + 101372614391645088 T^{18} + 437408334444495544 T^{19} + 1690464406149432630 T^{20} + 5834095039362873544 T^{21} + 17289185850627399200 T^{22} + 37171749578848908280 T^{23} + 39959630797262576401 T^{24}$$)($$1 + 476 T^{4} + 663082 T^{8} + 7749842672 T^{12} + 7079769593971 T^{16} + 26495169876876272 T^{20} + 7750235216472226282 T^{24} +$$$$19\!\cdots\!76$$$$T^{28} +$$$$13\!\cdots\!01$$$$T^{32}$$)($$1 + 476 T^{4} + 663082 T^{8} + 7749842672 T^{12} + 7079769593971 T^{16} + 26495169876876272 T^{20} + 7750235216472226282 T^{24} +$$$$19\!\cdots\!76$$$$T^{28} +$$$$13\!\cdots\!01$$$$T^{32}$$)($$( 1 - 85 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 85 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 + T + 43 T^{2} )^{4}$$)($$( 1 - T + 43 T^{2} )^{4}$$)($$( 1 - T + 43 T^{2} )^{4}$$)($$( 1 + 65 T^{2} + 1849 T^{4} )^{4}$$)($$( 1 - 2 T + 65 T^{2} - 318 T^{3} + 5080 T^{4} - 14554 T^{5} + 241357 T^{6} - 625822 T^{7} + 9392920 T^{8} - 25283226 T^{9} + 222222065 T^{10} - 294016886 T^{11} + 6321363049 T^{12} )^{2}$$)($$( 1 - 2 T + 65 T^{2} - 318 T^{3} + 5080 T^{4} - 14554 T^{5} + 241357 T^{6} - 625822 T^{7} + 9392920 T^{8} - 25283226 T^{9} + 222222065 T^{10} - 294016886 T^{11} + 6321363049 T^{12} )^{2}$$)($$( 1 - 14 T + 196 T^{2} - 1574 T^{3} + 12670 T^{4} - 67682 T^{5} + 362404 T^{6} - 1113098 T^{7} + 3418801 T^{8} )^{4}$$)($$( 1 + 14 T + 196 T^{2} + 1574 T^{3} + 12670 T^{4} + 67682 T^{5} + 362404 T^{6} + 1113098 T^{7} + 3418801 T^{8} )^{4}$$)
$47$ ($$1 - 3 T + 47 T^{2}$$)($$1 - 12 T + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 - 12 T + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 - 9 T + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 - 8 T + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 + 3 T + 47 T^{2}$$)($$1 + 10 T + 114 T^{2} + 470 T^{3} + 2209 T^{4}$$)($$( 1 - 4 T + 47 T^{2} )^{2}$$)($$( 1 - 2 T + 47 T^{2} )^{2}$$)($$1 + 14 T + 130 T^{2} + 658 T^{3} + 2209 T^{4}$$)($$1 + 5 T + 62 T^{2} + 235 T^{3} + 2209 T^{4}$$)($$1 + 46 T^{2} + 2209 T^{4}$$)($$1 - 8 T + 30 T^{2} - 376 T^{3} + 2209 T^{4}$$)($$( 1 + 2 T + 47 T^{2} )^{2}$$)($$1 - 14 T + 130 T^{2} - 658 T^{3} + 2209 T^{4}$$)($$( 1 + 4 T + 47 T^{2} )^{2}$$)($$1 - 10 T + 114 T^{2} - 470 T^{3} + 2209 T^{4}$$)($$1 + 8 T + 109 T^{2} + 624 T^{3} + 5123 T^{4} + 17672 T^{5} + 103823 T^{6}$$)($$1 - 8 T + 109 T^{2} - 624 T^{3} + 5123 T^{4} - 17672 T^{5} + 103823 T^{6}$$)($$1 - 24 T^{2} + 3518 T^{4} - 53016 T^{6} + 4879681 T^{8}$$)($$1 - 24 T^{2} + 3518 T^{4} - 53016 T^{6} + 4879681 T^{8}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 12 T + 118 T^{2} + 564 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 - 12 T + 118 T^{2} - 564 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 + 40 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 40 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 47 T^{2} )^{8}$$)($$( 1 + 47 T^{2} )^{8}$$)($$( 1 + 124 T^{2} + 7398 T^{4} + 273916 T^{6} + 4879681 T^{8} )^{4}$$)($$( 1 - 47 T^{2} )^{2}$$)($$1 - 30 T^{2} + 2209 T^{4}$$)($$1 - 13 T^{2} + 2209 T^{4}$$)($$1 + 4 T^{2} - 698 T^{4} + 8836 T^{6} + 4879681 T^{8}$$)($$1 - 99 T^{2} + 5912 T^{4} - 218691 T^{6} + 4879681 T^{8}$$)($$1 - 128 T^{2} + 8014 T^{4} - 282752 T^{6} + 4879681 T^{8}$$)($$1 - 64 T^{2} + 2894 T^{4} - 141376 T^{6} + 4879681 T^{8}$$)($$( 1 - 78 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 46 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 78 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 90 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 24 T^{2} + 3518 T^{4} + 53016 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 92 T^{2} + 4806 T^{4} - 203228 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 40 T^{2} + 2209 T^{4} )^{4}$$)($$( 1 - 92 T^{2} + 4806 T^{4} - 203228 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 47 T^{2} )^{8}$$)($$( 1 - 47 T^{2} )^{16}$$)($$( 1 + 16 T + 128 T^{2} + 880 T^{3} + 5986 T^{4} + 41360 T^{5} + 282752 T^{6} + 1661168 T^{7} + 4879681 T^{8} )^{2}$$)($$( 1 - 16 T + 128 T^{2} - 880 T^{3} + 5986 T^{4} - 41360 T^{5} + 282752 T^{6} - 1661168 T^{7} + 4879681 T^{8} )^{2}$$)($$1 + 24 T + 288 T^{2} + 2920 T^{3} + 30374 T^{4} + 283512 T^{5} + 2319776 T^{6} + 18683912 T^{7} + 148359759 T^{8} + 1083670000 T^{9} + 7566143296 T^{10} + 53830728976 T^{11} + 378456487636 T^{12} + 2530044261872 T^{13} + 16713610540864 T^{14} + 112509870410000 T^{15} + 723948297156879 T^{16} + 4285061928427384 T^{17} + 25005365019046304 T^{18} + 143633734128706056 T^{19} + 723244021064328614 T^{20} + 3267860981460079640 T^{21} + 15148550083919054112 T^{22} + 59331821162016295272 T^{23} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 24 T + 288 T^{2} - 2920 T^{3} + 30374 T^{4} - 283512 T^{5} + 2319776 T^{6} - 18683912 T^{7} + 148359759 T^{8} - 1083670000 T^{9} + 7566143296 T^{10} - 53830728976 T^{11} + 378456487636 T^{12} - 2530044261872 T^{13} + 16713610540864 T^{14} - 112509870410000 T^{15} + 723948297156879 T^{16} - 4285061928427384 T^{17} + 25005365019046304 T^{18} - 143633734128706056 T^{19} + 723244021064328614 T^{20} - 3267860981460079640 T^{21} + 15148550083919054112 T^{22} - 59331821162016295272 T^{23} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$( 1 - 20 T + 200 T^{2} - 1260 T^{3} + 6308 T^{4} - 44860 T^{5} + 429400 T^{6} - 3480900 T^{7} + 25034950 T^{8} - 163602300 T^{9} + 948544600 T^{10} - 4657499780 T^{11} + 30781027748 T^{12} - 288974708820 T^{13} + 2155843065800 T^{14} - 10132462409260 T^{15} + 23811286661761 T^{16} )^{2}$$)($$( 1 + 20 T + 200 T^{2} + 1260 T^{3} + 6308 T^{4} + 44860 T^{5} + 429400 T^{6} + 3480900 T^{7} + 25034950 T^{8} + 163602300 T^{9} + 948544600 T^{10} + 4657499780 T^{11} + 30781027748 T^{12} + 288974708820 T^{13} + 2155843065800 T^{14} + 10132462409260 T^{15} + 23811286661761 T^{16} )^{2}$$)($$( 1 - 56 T^{2} + 927 T^{4} - 123704 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 40 T^{2} - 609 T^{4} + 88360 T^{6} + 4879681 T^{8} )^{2}$$)($$1 - 40 T^{2} - 609 T^{4} - 88360 T^{6} + 4879681 T^{8}$$)($$1 - 40 T^{2} - 609 T^{4} - 88360 T^{6} + 4879681 T^{8}$$)($$1 + 56 T^{2} + 927 T^{4} + 123704 T^{6} + 4879681 T^{8}$$)($$( 1 - 80 T^{2} + 4191 T^{4} - 176720 T^{6} + 4879681 T^{8} )^{2}$$)($$1 - 162 T^{2} + 192 T^{3} + 11733 T^{4} - 23328 T^{5} - 672838 T^{6} + 760896 T^{7} + 42600858 T^{8} + 8087904 T^{9} - 2486828586 T^{10} - 573202080 T^{11} + 123583933965 T^{12} - 26940497760 T^{13} - 5493404346474 T^{14} + 839710456992 T^{15} + 207878597366298 T^{16} + 174507698446272 T^{17} - 7252665683533702 T^{18} - 11818504154160864 T^{19} + 279377826402441813 T^{20} + 214873050835731264 T^{21} - 8521059422204467938 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 162 T^{2} - 192 T^{3} + 11733 T^{4} + 23328 T^{5} - 672838 T^{6} - 760896 T^{7} + 42600858 T^{8} - 8087904 T^{9} - 2486828586 T^{10} + 573202080 T^{11} + 123583933965 T^{12} + 26940497760 T^{13} - 5493404346474 T^{14} - 839710456992 T^{15} + 207878597366298 T^{16} - 174507698446272 T^{17} - 7252665683533702 T^{18} + 11818504154160864 T^{19} + 279377826402441813 T^{20} - 214873050835731264 T^{21} - 8521059422204467938 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 22 T^{2} - 2964 T^{4} + 321316 T^{6} + 96242 T^{8} - 796763922 T^{10} + 37839327784 T^{12} + 943600073510 T^{14} - 103395703967577 T^{16} + 2084412562383590 T^{18} + 184643848840356904 T^{20} - 8588489881616560338 T^{22} + 2291645850901202162 T^{24} +$$$$16\!\cdots\!84$$$$T^{26} -$$$$34\!\cdots\!24$$$$T^{28} -$$$$56\!\cdots\!18$$$$T^{30} +$$$$56\!\cdots\!21$$$$T^{32}$$)($$1 - 22 T^{2} - 2964 T^{4} + 321316 T^{6} + 96242 T^{8} - 796763922 T^{10} + 37839327784 T^{12} + 943600073510 T^{14} - 103395703967577 T^{16} + 2084412562383590 T^{18} + 184643848840356904 T^{20} - 8588489881616560338 T^{22} + 2291645850901202162 T^{24} +$$$$16\!\cdots\!84$$$$T^{26} -$$$$34\!\cdots\!24$$$$T^{28} -$$$$56\!\cdots\!18$$$$T^{30} +$$$$56\!\cdots\!21$$$$T^{32}$$)
$53$ ($$1 + 6 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 12 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 10 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 8 T + 102 T^{2} - 424 T^{3} + 2809 T^{4}$$)($$1 + 16 T + 162 T^{2} + 848 T^{3} + 2809 T^{4}$$)($$1 + 8 T + 102 T^{2} + 424 T^{3} + 2809 T^{4}$$)($$1 - 8 T + 70 T^{2} - 424 T^{3} + 2809 T^{4}$$)($$1 + 2 T + 90 T^{2} + 106 T^{3} + 2809 T^{4}$$)($$1 + 58 T^{2} + 2809 T^{4}$$)($$1 + 16 T + 150 T^{2} + 848 T^{3} + 2809 T^{4}$$)($$1 - 8 T + 102 T^{2} - 424 T^{3} + 2809 T^{4}$$)($$1 + 8 T + 70 T^{2} + 424 T^{3} + 2809 T^{4}$$)($$1 - 16 T + 162 T^{2} - 848 T^{3} + 2809 T^{4}$$)($$1 + 8 T + 102 T^{2} + 424 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 171 T^{2} + 1188 T^{3} + 9063 T^{4} + 39326 T^{5} + 148877 T^{6}$$)($$1 - 14 T + 171 T^{2} - 1188 T^{3} + 9063 T^{4} - 39326 T^{5} + 148877 T^{6}$$)($$1 + 68 T^{2} + 4918 T^{4} + 191012 T^{6} + 7890481 T^{8}$$)($$1 + 68 T^{2} + 4918 T^{4} + 191012 T^{6} + 7890481 T^{8}$$)($$1 - 5582 T^{4} + 7890481 T^{8}$$)($$1 - 88 T^{2} + 5826 T^{4} - 247192 T^{6} + 7890481 T^{8}$$)($$1 - 88 T^{2} + 5826 T^{4} - 247192 T^{6} + 7890481 T^{8}$$)($$( 1 - 74 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 74 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 5582 T^{4} + 7890481 T^{8} )^{2}$$)($$( 1 - 5582 T^{4} + 7890481 T^{8} )^{2}$$)($$( 1 - 104 T^{2} + 6378 T^{4} - 292136 T^{6} + 7890481 T^{8} )^{4}$$)($$1 - 70 T^{2} + 2809 T^{4}$$)($$1 - 6 T^{2} + 2809 T^{4}$$)($$1 + 38 T^{2} + 2809 T^{4}$$)($$1 - 44 T^{2} + 982 T^{4} - 123596 T^{6} + 7890481 T^{8}$$)($$1 - 176 T^{2} + 13294 T^{4} - 494384 T^{6} + 7890481 T^{8}$$)($$1 - 140 T^{2} + 9238 T^{4} - 393260 T^{6} + 7890481 T^{8}$$)($$1 - 76 T^{2} + 3734 T^{4} - 213484 T^{6} + 7890481 T^{8}$$)($$1 - 68 T^{2} + 4726 T^{4} - 191012 T^{6} + 7890481 T^{8}$$)($$( 1 - 58 T^{2} + 2809 T^{4} )^{2}$$)($$1 - 68 T^{2} + 4726 T^{4} - 191012 T^{6} + 7890481 T^{8}$$)($$1 - 140 T^{2} + 9238 T^{4} - 393260 T^{6} + 7890481 T^{8}$$)($$( 1 - 68 T^{2} + 4918 T^{4} - 191012 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 + 88 T^{2} + 5826 T^{4} + 247192 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 + 74 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 + 88 T^{2} + 5826 T^{4} + 247192 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 - 5582 T^{4} + 7890481 T^{8} )^{2}$$)($$( 1 - 5582 T^{4} + 7890481 T^{8} )^{4}$$)($$( 1 - 16 T + 128 T^{2} - 1264 T^{3} + 11806 T^{4} - 66992 T^{5} + 359552 T^{6} - 2382032 T^{7} + 7890481 T^{8} )^{2}$$)($$( 1 + 16 T + 128 T^{2} + 1264 T^{3} + 11806 T^{4} + 66992 T^{5} + 359552 T^{6} + 2382032 T^{7} + 7890481 T^{8} )^{2}$$)($$1 - 40 T + 800 T^{2} - 11880 T^{3} + 147222 T^{4} - 1477736 T^{5} + 11899040 T^{6} - 74456936 T^{7} + 249326879 T^{8} + 1557249200 T^{9} - 37151695552 T^{10} + 419908594096 T^{11} - 3501062916044 T^{12} + 22255155487088 T^{13} - 104359112805568 T^{14} + 231838589148400 T^{15} + 1967309001538799 T^{16} - 31137555057789448 T^{17} + 263734619648416160 T^{18} - 1735912940938169032 T^{19} + 9165996141741389142 T^{20} - 39201191470609340040 T^{21} +$$$$13\!\cdots\!00$$$$T^{22} -$$$$37\!\cdots\!80$$$$T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 + 40 T + 800 T^{2} + 11880 T^{3} + 147222 T^{4} + 1477736 T^{5} + 11899040 T^{6} + 74456936 T^{7} + 249326879 T^{8} - 1557249200 T^{9} - 37151695552 T^{10} - 419908594096 T^{11} - 3501062916044 T^{12} - 22255155487088 T^{13} - 104359112805568 T^{14} - 231838589148400 T^{15} + 1967309001538799 T^{16} + 31137555057789448 T^{17} + 263734619648416160 T^{18} + 1735912940938169032 T^{19} + 9165996141741389142 T^{20} + 39201191470609340040 T^{21} +$$$$13\!\cdots\!00$$$$T^{22} +$$$$37\!\cdots\!80$$$$T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$( 1 - 16 T + 128 T^{2} - 1104 T^{3} + 9500 T^{4} - 64112 T^{5} + 419200 T^{6} - 3139632 T^{7} + 23623462 T^{8} - 166400496 T^{9} + 1177532800 T^{10} - 9544802224 T^{11} + 74959569500 T^{12} - 461687824272 T^{13} + 2837038224512 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} )^{2}$$)($$( 1 + 16 T + 128 T^{2} + 1104 T^{3} + 9500 T^{4} + 64112 T^{5} + 419200 T^{6} + 3139632 T^{7} + 23623462 T^{8} + 166400496 T^{9} + 1177532800 T^{10} + 9544802224 T^{11} + 74959569500 T^{12} + 461687824272 T^{13} + 2837038224512 T^{14} + 18795378237392 T^{15} + 62259690411361 T^{16} )^{2}$$)($$( 1 - 98 T^{2} + 6795 T^{4} - 275282 T^{6} + 7890481 T^{8} )^{2}$$)($$( 1 - 88 T^{2} + 4935 T^{4} - 247192 T^{6} + 7890481 T^{8} )^{2}$$)($$1 + 88 T^{2} + 4935 T^{4} + 247192 T^{6} + 7890481 T^{8}$$)($$1 + 88 T^{2} + 4935 T^{4} + 247192 T^{6} + 7890481 T^{8}$$)($$1 + 98 T^{2} + 6795 T^{4} + 275282 T^{6} + 7890481 T^{8}$$)($$( 1 - 62 T^{2} + 1035 T^{4} - 174158 T^{6} + 7890481 T^{8} )^{2}$$)($$1 - 12 T + 290 T^{2} - 2904 T^{3} + 41501 T^{4} - 314064 T^{5} + 3427926 T^{6} - 18869580 T^{7} + 172940890 T^{8} - 534860628 T^{9} + 5470600330 T^{10} + 1694225472 T^{11} + 171503876389 T^{12} + 89793950016 T^{13} + 15366916326970 T^{14} - 79628445714756 T^{15} + 1364586806668090 T^{16} - 7891173310802940 T^{17} + 75977789787488454 T^{18} - 368934479421767568 T^{19} + 2583839411761892861 T^{20} - 9582513470593394232 T^{21} + 50717366405998784210 T^{22} -$$$$11\!\cdots\!64$$$$T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 + 12 T + 290 T^{2} + 2904 T^{3} + 41501 T^{4} + 314064 T^{5} + 3427926 T^{6} + 18869580 T^{7} + 172940890 T^{8} + 534860628 T^{9} + 5470600330 T^{10} - 1694225472 T^{11} + 171503876389 T^{12} - 89793950016 T^{13} + 15366916326970 T^{14} + 79628445714756 T^{15} + 1364586806668090 T^{16} + 7891173310802940 T^{17} + 75977789787488454 T^{18} + 368934479421767568 T^{19} + 2583839411761892861 T^{20} + 9582513470593394232 T^{21} + 50717366405998784210 T^{22} +$$$$11\!\cdots\!64$$$$T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 + 326 T^{2} + 56544 T^{4} + 6845812 T^{6} + 648146234 T^{8} + 51557322450 T^{10} + 3593647250584 T^{12} + 223852743083186 T^{14} + 12523118248684503 T^{16} + 628802355320669474 T^{18} + 28355605351435290904 T^{20} +$$$$11\!\cdots\!50$$$$T^{22} +$$$$40\!\cdots\!74$$$$T^{24} +$$$$11\!\cdots\!88$$$$T^{26} +$$$$27\!\cdots\!04$$$$T^{28} +$$$$44\!\cdots\!94$$$$T^{30} +$$$$38\!\cdots\!21$$$$T^{32}$$)($$1 + 326 T^{2} + 56544 T^{4} + 6845812 T^{6} + 648146234 T^{8} + 51557322450 T^{10} + 3593647250584 T^{12} + 223852743083186 T^{14} + 12523118248684503 T^{16} + 628802355320669474 T^{18} + 28355605351435290904 T^{20} +$$$$11\!\cdots\!50$$$$T^{22} +$$$$40\!\cdots\!74$$$$T^{24} +$$$$11\!\cdots\!88$$$$T^{26} +$$$$27\!\cdots\!04$$$$T^{28} +$$$$44\!\cdots\!94$$$$T^{30} +$$$$38\!\cdots\!21$$$$T^{32}$$)
$59$ ($$1 + 10 T + 59 T^{2}$$)($$1 + 8 T + 59 T^{2}$$)($$1 + 12 T + 59 T^{2}$$)($$1 - 8 T + 59 T^{2}$$)($$1 - 8 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 - 8 T + 59 T^{2}$$)($$1 + 4 T + 59 T^{2}$$)($$1 - 8 T + 59 T^{2}$$)($$1 + 8 T + 59 T^{2}$$)($$1 + 10 T + 59 T^{2}$$)($$1 - 6 T + 122 T^{2} - 354 T^{3} + 3481 T^{4}$$)($$( 1 + 4 T + 59 T^{2} )^{2}$$)($$1 + 10 T + 98 T^{2} + 590 T^{3} + 3481 T^{4}$$)($$1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4}$$)($$( 1 - 4 T + 59 T^{2} )^{2}$$)($$1 + 70 T^{2} + 3481 T^{4}$$)($$1 + 38 T^{2} + 3481 T^{4}$$)($$1 + 10 T + 98 T^{2} + 590 T^{3} + 3481 T^{4}$$)($$1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4}$$)($$( 1 - 4 T + 59 T^{2} )^{2}$$)($$1 - 6 T + 122 T^{2} - 354 T^{3} + 3481 T^{4}$$)($$1 + 16 T + 113 T^{2} + 608 T^{3} + 6667 T^{4} + 55696 T^{5} + 205379 T^{6}$$)($$1 + 16 T + 113 T^{2} + 608 T^{3} + 6667 T^{4} + 55696 T^{5} + 205379 T^{6}$$)($$1 + 24 T^{2} + 6062 T^{4} + 83544 T^{6} + 12117361 T^{8}$$)($$1 + 24 T^{2} + 6062 T^{4} + 83544 T^{6} + 12117361 T^{8}$$)($$( 1 + 59 T^{2} )^{4}$$)($$( 1 - 12 T + 142 T^{2} - 708 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 12 T + 142 T^{2} + 708 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 64 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 64 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 59 T^{2} )^{8}$$)($$( 1 + 59 T^{2} )^{8}$$)($$( 1 + 92 T^{2} + 4374 T^{4} + 320252 T^{6} + 12117361 T^{8} )^{4}$$)($$( 1 - 12 T + 59 T^{2} )^{2}$$)($$( 1 - 4 T + 59 T^{2} )^{2}$$)($$( 1 + 59 T^{2} )^{2}$$)($$( 1 + 38 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 4 T + 59 T^{2} )^{4}$$)($$( 1 + 6 T + 122 T^{2} + 354 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 14 T + 154 T^{2} + 826 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 4 T + 59 T^{2} )^{4}$$)($$( 1 + 70 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 - 4 T + 59 T^{2} )^{4}$$)($$( 1 - 10 T + 98 T^{2} - 590 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 24 T^{2} + 6062 T^{4} + 83544 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 12 T + 142 T^{2} - 708 T^{3} + 3481 T^{4} )^{4}$$)($$( 1 + 64 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 + 12 T + 142 T^{2} + 708 T^{3} + 3481 T^{4} )^{4}$$)($$( 1 + 59 T^{2} )^{8}$$)($$( 1 + 59 T^{2} )^{16}$$)($$( 1 + 28 T^{2} + 4086 T^{4} + 97468 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 28 T^{2} + 4086 T^{4} + 97468 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 40 T + 986 T^{2} + 16824 T^{3} + 222455 T^{4} + 2325552 T^{5} + 19830604 T^{6} + 137207568 T^{7} + 774365855 T^{8} + 3455296296 T^{9} + 11947717946 T^{10} + 28596971960 T^{11} + 42180533641 T^{12} )^{2}$$)($$( 1 - 40 T + 986 T^{2} - 16824 T^{3} + 222455 T^{4} - 2325552 T^{5} + 19830604 T^{6} - 137207568 T^{7} + 774365855 T^{8} - 3455296296 T^{9} + 11947717946 T^{10} - 28596971960 T^{11} + 42180533641 T^{12} )^{2}$$)($$( 1 + 104 T^{2} + 6988 T^{4} + 285656 T^{6} + 18409798 T^{8} + 994368536 T^{10} + 84676118668 T^{12} + 4386775498664 T^{14} + 146830437604321 T^{16} )^{2}$$)($$( 1 + 104 T^{2} + 6988 T^{4} + 285656 T^{6} + 18409798 T^{8} + 994368536 T^{10} + 84676118668 T^{12} + 4386775498664 T^{14} + 146830437604321 T^{16} )^{2}$$)($$( 1 - 94 T^{2} + 5355 T^{4} - 327214 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 64 T^{2} + 615 T^{4} - 222784 T^{6} + 12117361 T^{8} )^{2}$$)($$1 - 64 T^{2} + 615 T^{4} - 222784 T^{6} + 12117361 T^{8}$$)($$1 - 64 T^{2} + 615 T^{4} - 222784 T^{6} + 12117361 T^{8}$$)($$1 - 94 T^{2} + 5355 T^{4} - 327214 T^{6} + 12117361 T^{8}$$)($$( 1 - 64 T^{2} + 615 T^{4} - 222784 T^{6} + 12117361 T^{8} )^{2}$$)($$1 - 24 T + 84 T^{2} + 1128 T^{3} + 9885 T^{4} - 197484 T^{5} - 900376 T^{6} + 12268224 T^{7} + 92002038 T^{8} - 411544404 T^{9} - 9205294494 T^{10} + 19136016684 T^{11} + 471190351413 T^{12} + 1129024984356 T^{13} - 32043630133614 T^{14} - 84522578149116 T^{15} + 1114821907181718 T^{16} + 8770851443174976 T^{17} - 37978340157549016 T^{18} - 491468849827995396 T^{19} + 1451418875718713085 T^{20} + 9771859283442771192 T^{21} + 42933807277253877684 T^{22} -$$$$72\!\cdots\!16$$$$T^{23} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 + 24 T + 84 T^{2} - 1128 T^{3} + 9885 T^{4} + 197484 T^{5} - 900376 T^{6} - 12268224 T^{7} + 92002038 T^{8} + 411544404 T^{9} - 9205294494 T^{10} - 19136016684 T^{11} + 471190351413 T^{12} - 1129024984356 T^{13} - 32043630133614 T^{14} + 84522578149116 T^{15} + 1114821907181718 T^{16} - 8770851443174976 T^{17} - 37978340157549016 T^{18} + 491468849827995396 T^{19} + 1451418875718713085 T^{20} - 9771859283442771192 T^{21} + 42933807277253877684 T^{22} +$$$$72\!\cdots\!16$$$$T^{23} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 - 22 T^{2} + 3828 T^{4} + 95908 T^{6} + 52130 T^{8} + 477386214 T^{10} - 45373908104 T^{12} - 418149177034 T^{14} - 123462803610873 T^{16} - 1455577285255354 T^{18} - 549812024476993544 T^{20} + 20136405259376625174 T^{22} + 7654270712313253730 T^{24} +$$$$49\!\cdots\!08$$$$T^{26} +$$$$68\!\cdots\!68$$$$T^{28} -$$$$13\!\cdots\!42$$$$T^{30} +$$$$21\!\cdots\!41$$$$T^{32}$$)($$1 - 22 T^{2} + 3828 T^{4} + 95908 T^{6} + 52130 T^{8} + 477386214 T^{10} - 45373908104 T^{12} - 418149177034 T^{14} - 123462803610873 T^{16} - 1455577285255354 T^{18} - 549812024476993544 T^{20} + 20136405259376625174 T^{22} + 7654270712313253730 T^{24} +$$$$49\!\cdots\!08$$$$T^{26} +$$$$68\!\cdots\!68$$$$T^{28} -$$$$13\!\cdots\!42$$$$T^{30} +$$$$21\!\cdots\!41$$$$T^{32}$$)
$61$ ($$1 + 8 T + 61 T^{2}$$)($$1 - 10 T + 61 T^{2}$$)($$1 + 2 T + 61 T^{2}$$)($$1 - 10 T + 61 T^{2}$$)($$1 + 2 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 - 10 T + 61 T^{2}$$)($$1 + 2 T + 61 T^{2}$$)($$1 + 2 T + 61 T^{2}$$)($$1 - 10 T + 61 T^{2}$$)($$1 + 8 T + 61 T^{2}$$)($$1 + 4 T - 54 T^{2} + 244 T^{3} + 3721 T^{4}$$)($$( 1 - 6 T + 61 T^{2} )^{2}$$)($$1 + 6 T + 86 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 - 12 T + 106 T^{2} - 732 T^{3} + 3721 T^{4}$$)($$1 - 6 T - 22 T^{2} - 366 T^{3} + 3721 T^{4}$$)($$( 1 + 10 T + 61 T^{2} )^{2}$$)($$( 1 + 2 T + 61 T^{2} )^{2}$$)($$1 + 6 T + 86 T^{2} + 366 T^{3} + 3721 T^{4}$$)($$1 - 12 T + 106 T^{2} - 732 T^{3} + 3721 T^{4}$$)($$( 1 - 6 T + 61 T^{2} )^{2}$$)($$1 + 4 T - 54 T^{2} + 244 T^{3} + 3721 T^{4}$$)($$1 + 6 T + 131 T^{2} + 484 T^{3} + 7991 T^{4} + 22326 T^{5} + 226981 T^{6}$$)($$1 + 6 T + 131 T^{2} + 484 T^{3} + 7991 T^{4} + 22326 T^{5} + 226981 T^{6}$$)($$( 1 + 61 T^{2} )^{4}$$)($$( 1 + 61 T^{2} )^{4}$$)($$( 1 - 61 T^{2} )^{4}$$)($$1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8}$$)($$1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8}$$)($$( 1 - 95 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 - 95 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 - 61 T^{2} )^{8}$$)($$( 1 - 61 T^{2} )^{8}$$)($$( 1 - 52 T^{2} + 6582 T^{4} - 193492 T^{6} + 13845841 T^{8} )^{4}$$)($$( 1 + 2 T + 61 T^{2} )^{2}$$)($$( 1 + 2 T + 61 T^{2} )^{2}$$)($$( 1 - 8 T + 61 T^{2} )^{2}$$)($$( 1 + 2 T + 61 T^{2} )^{4}$$)($$( 1 - 6 T - 22 T^{2} - 366 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 4 T - 54 T^{2} + 244 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 12 T + 106 T^{2} - 732 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 6 T + 61 T^{2} )^{4}$$)($$( 1 + 10 T + 61 T^{2} )^{4}$$)($$( 1 - 6 T + 61 T^{2} )^{4}$$)($$( 1 + 6 T + 86 T^{2} + 366 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 61 T^{2} )^{8}$$)($$( 1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 - 95 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8} )^{2}$$)($$( 1 - 61 T^{2} )^{8}$$)($$( 1 - 61 T^{2} )^{16}$$)($$( 1 + 4 T + 78 T^{2} + 244 T^{3} + 3721 T^{4} )^{4}$$)($$( 1 + 4 T + 78 T^{2} + 244 T^{3} + 3721 T^{4} )^{4}$$)($$( 1 + 16 T + 254 T^{2} + 2800 T^{3} + 31591 T^{4} + 270400 T^{5} + 2316548 T^{6} + 16494400 T^{7} + 117550111 T^{8} + 635546800 T^{9} + 3516843614 T^{10} + 13513540816 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 + 16 T + 254 T^{2} + 2800 T^{3} + 31591 T^{4} + 270400 T^{5} + 2316548 T^{6} + 16494400 T^{7} + 117550111 T^{8} + 635546800 T^{9} + 3516843614 T^{10} + 13513540816 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 - 28 T + 508 T^{2} - 6052 T^{3} + 55366 T^{4} - 369172 T^{5} + 1890268 T^{6} - 6355468 T^{7} + 13845841 T^{8} )^{4}$$)($$( 1 - 28 T + 508 T^{2} - 6052 T^{3} + 55366 T^{4} - 369172 T^{5} + 1890268 T^{6} - 6355468 T^{7} + 13845841 T^{8} )^{4}$$)($$( 1 + 6 T + 73 T^{2} + 366 T^{3} + 3721 T^{4} )^{4}$$)($$( 1 + 3 T + 64 T^{2} + 183 T^{3} + 3721 T^{4} )^{4}$$)($$( 1 + 3 T + 64 T^{2} + 183 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 3 T + 64 T^{2} + 183 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 6 T + 73 T^{2} + 366 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 18 T + 169 T^{2} + 1098 T^{3} + 3721 T^{4} )^{4}$$)($$1 + 138 T^{2} + 5889 T^{4} - 41004 T^{5} - 102418 T^{6} - 5059224 T^{7} - 8898402 T^{8} - 158765292 T^{9} + 1660743870 T^{10} + 9579987756 T^{11} + 189206615181 T^{12} + 584379253116 T^{13} + 6179627940270 T^{14} - 36036704743452 T^{15} - 123205859246082 T^{16} - 4273001876330424 T^{17} - 5276613701304898 T^{18} - 128865027248205084 T^{19} + 1128964366240987809 T^{20} + 98441321809477798938 T^{22} +$$$$26\!\cdots\!21$$$$T^{24}$$)($$1 + 138 T^{2} + 5889 T^{4} - 41004 T^{5} - 102418 T^{6} - 5059224 T^{7} - 8898402 T^{8} - 158765292 T^{9} + 1660743870 T^{10} + 9579987756 T^{11} + 189206615181 T^{12} + 584379253116 T^{13} + 6179627940270 T^{14} - 36036704743452 T^{15} - 123205859246082 T^{16} - 4273001876330424 T^{17} - 5276613701304898 T^{18} - 128865027248205084 T^{19} + 1128964366240987809 T^{20} + 98441321809477798938 T^{22} +$$$$26\!\cdots\!21$$$$T^{24}$$)($$( 1 - 6 T + 76 T^{2} - 384 T^{3} + 199 T^{4} - 1944 T^{5} - 83024 T^{6} - 574314 T^{7} + 970696 T^{8} - 35033154 T^{9} - 308932304 T^{10} - 441251064 T^{11} + 2755322359 T^{12} - 324324979584 T^{13} + 3915548451436 T^{14} - 18856457016126 T^{15} + 191707312997281 T^{16} )^{2}$$)($$( 1 - 6 T + 76 T^{2} - 384 T^{3} + 199 T^{4} - 1944 T^{5} - 83024 T^{6} - 574314 T^{7} + 970696 T^{8} - 35033154 T^{9} - 308932304 T^{10} - 441251064 T^{11} + 2755322359 T^{12} - 324324979584 T^{13} + 3915548451436 T^{14} - 18856457016126 T^{15} + 191707312997281 T^{16} )^{2}$$)
$67$ ($$1 - 2 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 - 16 T + 67 T^{2}$$)($$1 - 4 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 + 16 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 + 2 T + 67 T^{2}$$)($$1 - 8 T + 105 T^{2} - 536 T^{3} + 4489 T^{4}$$)($$1 - 8 T + 22 T^{2} - 536 T^{3} + 4489 T^{4}$$)($$1 + 4 T + 133 T^{2} + 268 T^{3} + 4489 T^{4}$$)($$1 - 24 T + 265 T^{2} - 1608 T^{3} + 4489 T^{4}$$)($$1 + 4 T + 70 T^{2} + 268 T^{3} + 4489 T^{4}$$)($$( 1 - 4 T + 67 T^{2} )^{2}$$)($$( 1 - 4 T + 67 T^{2} )^{2}$$)($$1 - 4 T + 133 T^{2} - 268 T^{3} + 4489 T^{4}$$)($$1 + 24 T + 265 T^{2} + 1608 T^{3} + 4489 T^{4}$$)($$1 - 8 T + 22 T^{2} - 536 T^{3} + 4489 T^{4}$$)($$1 + 8 T + 105 T^{2} + 536 T^{3} + 4489 T^{4}$$)($$1 - 8 T + 169 T^{2} - 944 T^{3} + 11323 T^{4} - 35912 T^{5} + 300763 T^{6}$$)($$1 + 8 T + 169 T^{2} + 944 T^{3} + 11323 T^{4} + 35912 T^{5} + 300763 T^{6}$$)($$( 1 + 8 T + 121 T^{2} + 536 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 8 T + 121 T^{2} - 536 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 4 T + 67 T^{2} )^{4}$$)($$( 1 - 8 T + 102 T^{2} - 536 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 8 T + 102 T^{2} - 536 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 + 7 T + 67 T^{2} )^{4}$$)($$( 1 - 7 T + 67 T^{2} )^{4}$$)($$( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )^{4}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{4}$$)($$( 1 + 124 T^{2} + 12438 T^{4} + 556636 T^{6} + 20151121 T^{8} )^{4}$$)($$1 - 118 T^{2} + 4489 T^{4}$$)($$1 - 118 T^{2} + 4489 T^{4}$$)($$1 - 118 T^{2} + 4489 T^{4}$$)($$( 1 - 118 T^{2} + 4489 T^{4} )^{2}$$)($$1 - 124 T^{2} + 11734 T^{4} - 556636 T^{6} + 20151121 T^{8}$$)($$1 - 146 T^{2} + 11427 T^{4} - 655394 T^{6} + 20151121 T^{8}$$)($$1 + 46 T^{2} + 2019 T^{4} + 206494 T^{6} + 20151121 T^{8}$$)($$1 + 20 T^{2} + 886 T^{4} + 89780 T^{6} + 20151121 T^{8}$$)($$( 1 - 118 T^{2} + 4489 T^{4} )^{2}$$)($$1 + 20 T^{2} + 886 T^{4} + 89780 T^{6} + 20151121 T^{8}$$)($$1 - 250 T^{2} + 24523 T^{4} - 1122250 T^{6} + 20151121 T^{8}$$)($$( 1 - 178 T^{2} + 15043 T^{4} - 799042 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 140 T^{2} + 10806 T^{4} - 628460 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 85 T^{2} + 4489 T^{4} )^{4}$$)($$( 1 - 140 T^{2} + 10806 T^{4} - 628460 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 118 T^{2} + 4489 T^{4} )^{4}$$)($$( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} )^{4}$$)($$1 - 2972 T^{4} + 21854310 T^{8} - 59889131612 T^{12} + 406067677556641 T^{16}$$)($$1 - 2972 T^{4} + 21854310 T^{8} - 59889131612 T^{12} + 406067677556641 T^{16}$$)($$1 - 48 T + 1152 T^{2} - 18992 T^{3} + 248566 T^{4} - 2816976 T^{5} + 29214848 T^{6} - 287145808 T^{7} + 2747657919 T^{8} - 25947593440 T^{9} + 239514732288 T^{10} - 2122341535712 T^{11} + 17856126120308 T^{12} - 142196882892704 T^{13} + 1075181633240832 T^{14} - 7804076045794720 T^{15} + 55368387192377199 T^{16} - 387682764750601456 T^{17} + 2642727885393245312 T^{18} - 17072879135116363248 T^{19} +$$$$10\!\cdots\!06$$$$T^{20} -$$$$51\!\cdots\!24$$$$T^{21} +$$$$20\!\cdots\!48$$$$T^{22} -$$$$58\!\cdots\!84$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 - 48 T + 1152 T^{2} - 18992 T^{3} + 248566 T^{4} - 2816976 T^{5} + 29214848 T^{6} - 287145808 T^{7} + 2747657919 T^{8} - 25947593440 T^{9} + 239514732288 T^{10} - 2122341535712 T^{11} + 17856126120308 T^{12} - 142196882892704 T^{13} + 1075181633240832 T^{14} - 7804076045794720 T^{15} + 55368387192377199 T^{16} - 387682764750601456 T^{17} + 2642727885393245312 T^{18} - 17072879135116363248 T^{19} +$$$$10\!\cdots\!06$$$$T^{20} -$$$$51\!\cdots\!24$$$$T^{21} +$$$$20\!\cdots\!48$$$$T^{22} -$$$$58\!\cdots\!84$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 - 7684 T^{4} + 38988106 T^{8} - 68000407504 T^{12} + 258909628702099 T^{16} - 1370284439662411984 T^{20} +$$$$15\!\cdots\!46$$$$T^{24} -$$$$62\!\cdots\!24$$$$T^{28} +$$$$16\!\cdots\!81$$$$T^{32}$$)($$1 - 7684 T^{4} + 38988106 T^{8} - 68000407504 T^{12} + 258909628702099 T^{16} - 1370284439662411984 T^{20} +$$$$15\!\cdots\!46$$$$T^{24} -$$$$62\!\cdots\!24$$$$T^{28} +$$$$16\!\cdots\!81$$$$T^{32}$$)($$( 1 - 109 T^{2} + 4489 T^{4} )^{2}( 1 + 122 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 130 T^{2} + 12411 T^{4} + 583570 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 2 T - 63 T^{2} - 134 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 16 T + 67 T^{2} )^{2}( 1 + 5 T + 67 T^{2} )^{2}$$)($$( 1 + 55 T^{2} - 1464 T^{4} + 246895 T^{6} + 20151121 T^{8} )^{2}$$)($$1 + 6 T - 219 T^{2} - 1306 T^{3} + 22971 T^{4} + 120540 T^{5} - 1928636 T^{6} - 7225512 T^{7} + 163638939 T^{8} + 309627182 T^{9} - 13816766313 T^{10} - 6348931902 T^{11} + 1027244050774 T^{12} - 425378437434 T^{13} - 62023463979057 T^{14} + 93124400139866 T^{15} + 3297508060100619 T^{16} - 9755345162129784 T^{17} - 174461292352891484 T^{18} + 730558176905634420 T^{19} + 9327780621153600411 T^{20} - 35531733921561200782 T^{21} -$$$$39\!\cdots\!31$$$$T^{22} +$$$$73\!\cdots\!98$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 + 6 T - 219 T^{2} - 1306 T^{3} + 22971 T^{4} + 120540 T^{5} - 1928636 T^{6} - 7225512 T^{7} + 163638939 T^{8} + 309627182 T^{9} - 13816766313 T^{10} - 6348931902 T^{11} + 1027244050774 T^{12} - 425378437434 T^{13} - 62023463979057 T^{14} + 93124400139866 T^{15} + 3297508060100619 T^{16} - 9755345162129784 T^{17} - 174461292352891484 T^{18} + 730558176905634420 T^{19} + 9327780621153600411 T^{20} - 35531733921561200782 T^{21} -$$$$39\!\cdots\!31$$$$T^{22} +$$$$73\!\cdots\!98$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$( 1 - 10 T - 126 T^{2} + 1216 T^{3} + 11501 T^{4} - 65334 T^{5} - 1130858 T^{6} + 905912 T^{7} + 100956192 T^{8} + 60696104 T^{9} - 5076421562 T^{10} - 19650049842 T^{11} + 231758042621 T^{12} + 1641752130112 T^{13} - 11397756153294 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} )^{2}$$)($$( 1 + 10 T - 126 T^{2} - 1216 T^{3} + 11501 T^{4} + 65334 T^{5} - 1130858 T^{6} - 905912 T^{7} + 100956192 T^{8} - 60696104 T^{9} - 5076421562 T^{10} + 19650049842 T^{11} + 231758042621 T^{12} - 1641752130112 T^{13} - 11397756153294 T^{14} + 60607116053230 T^{15} + 406067677556641 T^{16} )^{2}$$)
$71$ ($$1 - 8 T + 71 T^{2}$$)($$1 - 16 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 16 T + 71 T^{2}$$)($$1 + 10 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 16 T + 71 T^{2}$$)($$1 - 12 T + 71 T^{2}$$)($$1 + 10 T + 71 T^{2}$$)($$1 - 16 T + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 - 10 T + 147 T^{2} - 710 T^{3} + 5041 T^{4}$$)($$1 - 4 T + 74 T^{2} - 284 T^{3} + 5041 T^{4}$$)($$1 + 4 T + 101 T^{2} + 284 T^{3} + 5041 T^{4}$$)($$( 1 - 3 T + 71 T^{2} )^{2}$$)($$( 1 + 8 T + 71 T^{2} )^{2}$$)($$1 + 34 T^{2} + 5041 T^{4}$$)($$1 + 20 T + 222 T^{2} + 1420 T^{3} + 5041 T^{4}$$)($$1 + 4 T + 101 T^{2} + 284 T^{3} + 5041 T^{4}$$)($$( 1 - 3 T + 71 T^{2} )^{2}$$)($$1 + 4 T + 74 T^{2} + 284 T^{3} + 5041 T^{4}$$)($$1 - 10 T + 147 T^{2} - 710 T^{3} + 5041 T^{4}$$)($$( 1 + 2 T + 71 T^{2} )^{3}$$)($$( 1 + 2 T + 71 T^{2} )^{3}$$)($$1 + 90 T^{2} + 2711 T^{4} + 453690 T^{6} + 25411681 T^{8}$$)($$1 + 90 T^{2} + 2711 T^{4} + 453690 T^{6} + 25411681 T^{8}$$)($$1 + 2914 T^{4} + 25411681 T^{8}$$)($$1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8}$$)($$1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8}$$)($$( 1 - 134 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 134 T^{2} + 5041 T^{4} )^{2}$$)($$1 - 2914 T^{4} - 16920285 T^{8} - 74049638434 T^{12} + 645753531245761 T^{16}$$)($$1 - 2914 T^{4} - 16920285 T^{8} - 74049638434 T^{12} + 645753531245761 T^{16}$$)($$( 1 - 184 T^{2} + 18162 T^{4} - 927544 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 - 12 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 20 T + 222 T^{2} + 1420 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 8 T + 71 T^{2} )^{4}$$)($$( 1 - 10 T + 147 T^{2} - 710 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 - 3 T + 71 T^{2} )^{4}$$)($$( 1 + 4 T + 74 T^{2} + 284 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 34 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 4 T + 74 T^{2} - 284 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 4 T + 101 T^{2} + 284 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 + 90 T^{2} + 2711 T^{4} + 453690 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 134 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 + 2914 T^{4} + 25411681 T^{8} )^{2}$$)($$( 1 - 2914 T^{4} - 16920285 T^{8} - 74049638434 T^{12} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 160 T^{2} + 14754 T^{4} - 806560 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 160 T^{2} + 14754 T^{4} - 806560 T^{6} + 25411681 T^{8} )^{2}$$)($$1 - 404 T^{2} + 75490 T^{4} - 8307268 T^{6} + 571593487 T^{8} - 25299911144 T^{10} + 1141503138780 T^{12} - 127536852076904 T^{14} + 14525151353321647 T^{16} - 1064163389407837828 T^{18} + 48747934073742497890 T^{20} -$$$$13\!\cdots\!04$$$$T^{22} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$1 - 404 T^{2} + 75490 T^{4} - 8307268 T^{6} + 571593487 T^{8} - 25299911144 T^{10} + 1141503138780 T^{12} - 127536852076904 T^{14} + 14525151353321647 T^{16} - 1064163389407837828 T^{18} + 48747934073742497890 T^{20} -$$$$13\!\cdots\!04$$$$T^{22} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$( 1 - 104 T^{2} + 10246 T^{4} - 920192 T^{6} + 79259707 T^{8} - 4638687872 T^{10} + 260368083526 T^{12} - 13322429527784 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 104 T^{2} + 10246 T^{4} - 920192 T^{6} + 79259707 T^{8} - 4638687872 T^{10} + 260368083526 T^{12} - 13322429527784 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 92 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 124 T^{2} + 5041 T^{4} )^{4}$$)($$( 1 - 124 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 124 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 92 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 14 T^{2} + 5041 T^{4} )^{4}$$)($$1 - 460 T^{2} + 108410 T^{4} - 17445312 T^{6} + 2127087511 T^{8} - 205744741412 T^{10} + 16152616390624 T^{12} - 1037159241457892 T^{14} + 54052869288615991 T^{16} - 2234749420290428352 T^{18} + 70006140322352950010 T^{20} -$$$$14\!\cdots\!60$$$$T^{22} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$1 - 460 T^{2} + 108410 T^{4} - 17445312 T^{6} + 2127087511 T^{8} - 205744741412 T^{10} + 16152616390624 T^{12} - 1037159241457892 T^{14} + 54052869288615991 T^{16} - 2234749420290428352 T^{18} + 70006140322352950010 T^{20} -$$$$14\!\cdots\!60$$$$T^{22} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$( 1 - 224 T^{2} + 32620 T^{4} - 3468128 T^{6} + 273760102 T^{8} - 17482833248 T^{10} + 828929034220 T^{12} - 28694463598304 T^{14} + 645753531245761 T^{16} )^{2}$$)($$( 1 - 224 T^{2} + 32620 T^{4} - 3468128 T^{6} + 273760102 T^{8} - 17482833248 T^{10} + 828929034220 T^{12} - 28694463598304 T^{14} + 645753531245761 T^{16} )^{2}$$)
$73$ ($$1 - 6 T + 73 T^{2}$$)($$1 - 12 T + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 + 12 T + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 + 2 T + 73 T^{2}$$)($$1 - 12 T + 73 T^{2}$$)($$1 - 2 T + 73 T^{2}$$)($$1 + 6 T + 73 T^{2}$$)($$1 + 12 T + 73 T^{2}$$)($$1 + 6 T + 73 T^{2}$$)($$1 + 2 T + 142 T^{2} + 146 T^{3} + 5329 T^{4}$$)($$1 + 4 T - 50 T^{2} + 292 T^{3} + 5329 T^{4}$$)($$1 + 22 T + 262 T^{2} + 1606 T^{3} + 5329 T^{4}$$)($$1 + 6 T + 142 T^{2} + 438 T^{3} + 5329 T^{4}$$)($$1 - 8 T + 94 T^{2} - 584 T^{3} + 5329 T^{4}$$)($$( 1 + 14 T + 73 T^{2} )^{2}$$)($$1 - 16 T + 190 T^{2} - 1168 T^{3} + 5329 T^{4}$$)($$1 - 22 T + 262 T^{2} - 1606 T^{3} + 5329 T^{4}$$)($$1 - 6 T + 142 T^{2} - 438 T^{3} + 5329 T^{4}$$)($$1 + 4 T - 50 T^{2} + 292 T^{3} + 5329 T^{4}$$)($$1 - 2 T + 142 T^{2} - 146 T^{3} + 5329 T^{4}$$)($$1 + 18 T + 311 T^{2} + 2732 T^{3} + 22703 T^{4} + 95922 T^{5} + 389017 T^{6}$$)($$1 - 18 T + 311 T^{2} - 2732 T^{3} + 22703 T^{4} - 95922 T^{5} + 389017 T^{6}$$)($$( 1 + 2 T + 118 T^{2} + 146 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 2 T + 118 T^{2} - 146 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 73 T^{2} )^{4}$$)($$1 - 244 T^{2} + 25110 T^{4} - 1300276 T^{6} + 28398241 T^{8}$$)($$1 - 244 T^{2} + 25110 T^{4} - 1300276 T^{6} + 28398241 T^{8}$$)($$( 1 - 38 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 - 38 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 - 73 T^{2} )^{8}$$)($$( 1 - 73 T^{2} )^{8}$$)($$( 1 - 164 T^{2} + 13326 T^{4} - 873956 T^{6} + 28398241 T^{8} )^{4}$$)($$( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} )$$)($$1 - 142 T^{2} + 5329 T^{4}$$)($$1 - 142 T^{2} + 5329 T^{4}$$)($$1 - 124 T^{2} + 9382 T^{4} - 660796 T^{6} + 28398241 T^{8}$$)($$1 - 124 T^{2} + 10150 T^{4} - 660796 T^{6} + 28398241 T^{8}$$)($$1 - 280 T^{2} + 30238 T^{4} - 1492120 T^{6} + 28398241 T^{8}$$)($$1 - 248 T^{2} + 25566 T^{4} - 1321592 T^{6} + 28398241 T^{8}$$)($$1 + 116 T^{2} + 10822 T^{4} + 618164 T^{6} + 28398241 T^{8}$$)($$( 1 + 50 T^{2} + 5329 T^{4} )^{2}$$)($$1 + 116 T^{2} + 10822 T^{4} + 618164 T^{6} + 28398241 T^{8}$$)($$1 - 40 T^{2} + 8638 T^{4} - 213160 T^{6} + 28398241 T^{8}$$)($$( 1 - 232 T^{2} + 23998 T^{4} - 1236328 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 + 244 T^{2} + 25110 T^{4} + 1300276 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 + 38 T^{2} + 5329 T^{4} )^{4}$$)($$( 1 + 244 T^{2} + 25110 T^{4} + 1300276 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 + 73 T^{2} )^{8}$$)($$( 1 + 73 T^{2} )^{16}$$)($$1 + 12868 T^{4} + 85213638 T^{8} + 365428565188 T^{12} + 806460091894081 T^{16}$$)($$1 + 12868 T^{4} + 85213638 T^{8} + 365428565188 T^{12} + 806460091894081 T^{16}$$)($$1 - 20 T + 200 T^{2} - 1452 T^{3} + 7482 T^{4} - 35804 T^{5} + 273832 T^{6} - 2000484 T^{7} + 27883951 T^{8} - 188107816 T^{9} - 317778928 T^{10} + 34324729064 T^{11} - 473910414484 T^{12} + 2505705221672 T^{13} - 1693443907312 T^{14} - 73177138256872 T^{15} + 791855160530191 T^{16} - 4147146552651012 T^{17} + 41440153853169448 T^{18} - 395541056577748988 T^{19} + 6033934407551514042 T^{20} - 85481543900405009676 T^{21} +$$$$85\!\cdots\!00$$$$T^{22} -$$$$62\!\cdots\!40$$$$T^{23} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$1 - 20 T + 200 T^{2} - 1452 T^{3} + 7482 T^{4} - 35804 T^{5} + 273832 T^{6} - 2000484 T^{7} + 27883951 T^{8} - 188107816 T^{9} - 317778928 T^{10} + 34324729064 T^{11} - 473910414484 T^{12} + 2505705221672 T^{13} - 1693443907312 T^{14} - 73177138256872 T^{15} + 791855160530191 T^{16} - 4147146552651012 T^{17} + 41440153853169448 T^{18} - 395541056577748988 T^{19} + 6033934407551514042 T^{20} - 85481543900405009676 T^{21} +$$$$85\!\cdots\!00$$$$T^{22} -$$$$62\!\cdots\!40$$$$T^{23} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$1 - 10744 T^{4} + 21741724 T^{8} + 248072229176 T^{12} - 2082801346307642 T^{16} + 7044814949547279416 T^{20} +$$$$17\!\cdots\!44$$$$T^{24} -$$$$24\!\cdots\!24$$$$T^{28} +$$$$65\!\cdots\!61$$$$T^{32}$$)($$1 - 10744 T^{4} + 21741724 T^{8} + 248072229176 T^{12} - 2082801346307642 T^{16} + 7044814949547279416 T^{20} +$$$$17\!\cdots\!44$$$$T^{24} -$$$$24\!\cdots\!24$$$$T^{28} +$$$$65\!\cdots\!61$$$$T^{32}$$)($$( 1 - 97 T^{2} + 5329 T^{4} )^{2}( 1 - 46 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 - 71 T^{2} - 288 T^{4} - 378359 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 - 15 T + 148 T^{2} - 1095 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 15 T + 148 T^{2} + 1095 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 7 T + 73 T^{2} )^{2}( 1 + 10 T + 73 T^{2} )^{2}$$)($$( 1 - 29 T^{2} - 4488 T^{4} - 154541 T^{6} + 28398241 T^{8} )^{2}$$)($$1 - 42 T + 1119 T^{2} - 22302 T^{3} + 373665 T^{4} - 5463480 T^{5} + 72046694 T^{6} - 868793688 T^{7} + 9715685451 T^{8} - 101446836642 T^{9} + 996453337299 T^{10} - 9237792089286 T^{11} + 81107402998458 T^{12} - 674358822517878 T^{13} + 5310099834466371 T^{14} - 39464544049960914 T^{15} + 275908376917691691 T^{16} - 1801071514770504984 T^{17} + 10903130693170338566 T^{18} - 60357240861116077560 T^{19} +$$$$30\!\cdots\!65$$$$T^{20} -$$$$13\!\cdots\!26$$$$T^{21} +$$$$48\!\cdots\!31$$$$T^{22} -$$$$13\!\cdots\!34$$$$T^{23} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$1 - 42 T + 1119 T^{2} - 22302 T^{3} + 373665 T^{4} - 5463480 T^{5} + 72046694 T^{6} - 868793688 T^{7} + 9715685451 T^{8} - 101446836642 T^{9} + 996453337299 T^{10} - 9237792089286 T^{11} + 81107402998458 T^{12} - 674358822517878 T^{13} + 5310099834466371 T^{14} - 39464544049960914 T^{15} + 275908376917691691 T^{16} - 1801071514770504984 T^{17} + 10903130693170338566 T^{18} - 60357240861116077560 T^{19} +$$$$30\!\cdots\!65$$$$T^{20} -$$$$13\!\cdots\!26$$$$T^{21} +$$$$48\!\cdots\!31$$$$T^{22} -$$$$13\!\cdots\!34$$$$T^{23} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$( 1 + 30 T + 592 T^{2} + 8760 T^{3} + 110131 T^{4} + 1245672 T^{5} + 12867868 T^{6} + 123737394 T^{7} + 1095916576 T^{8} + 9032829762 T^{9} + 68572868572 T^{10} + 484587584424 T^{11} + 3127526679571 T^{12} + 18160107154680 T^{13} + 89589861963088 T^{14} + 331421955572910 T^{15} + 806460091894081 T^{16} )^{2}$$)($$( 1 - 30 T + 592 T^{2} - 8760 T^{3} + 110131 T^{4} - 1245672 T^{5} + 12867868 T^{6} - 123737394 T^{7} + 1095916576 T^{8} - 9032829762 T^{9} + 68572868572 T^{10} - 484587584424 T^{11} + 3127526679571 T^{12} - 18160107154680 T^{13} + 89589861963088 T^{14} - 331421955572910 T^{15} + 806460091894081 T^{16} )^{2}$$)
$79$ ($$1 + 5 T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 + 16 T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 - 4 T + 79 T^{2}$$)($$1 + T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 - 8 T + 79 T^{2}$$)($$1 - 4 T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 + 5 T + 79 T^{2}$$)($$1 - 8 T + 169 T^{2} - 632 T^{3} + 6241 T^{4}$$)($$1 + 126 T^{2} + 6241 T^{4}$$)($$1 + 33 T^{2} + 6241 T^{4}$$)($$1 + 8 T + 57 T^{2} + 632 T^{3} + 6241 T^{4}$$)($$1 + 9 T + 174 T^{2} + 711 T^{3} + 6241 T^{4}$$)($$( 1 - 8 T + 79 T^{2} )^{2}$$)($$1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4}$$)($$1 + 33 T^{2} + 6241 T^{4}$$)($$1 + 8 T + 57 T^{2} + 632 T^{3} + 6241 T^{4}$$)($$1 + 126 T^{2} + 6241 T^{4}$$)($$1 - 8 T + 169 T^{2} - 632 T^{3} + 6241 T^{4}$$)($$1 - 12 T + 221 T^{2} - 1576 T^{3} + 17459 T^{4} - 74892 T^{5} + 493039 T^{6}$$)($$1 - 12 T + 221 T^{2} - 1576 T^{3} + 17459 T^{4} - 74892 T^{5} + 493039 T^{6}$$)($$( 1 + 129 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 129 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T + 79 T^{2} )^{4}$$)($$( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 14 T + 79 T^{2} )^{4}$$)($$( 1 - 14 T + 79 T^{2} )^{4}$$)($$( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{4}$$)($$( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{4}$$)($$( 1 - 4 T + 79 T^{2} )^{16}$$)($$( 1 - 16 T + 79 T^{2} )^{2}$$)($$( 1 + 8 T + 79 T^{2} )^{2}$$)($$( 1 - T + 79 T^{2} )^{2}$$)($$( 1 + 8 T + 94 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 9 T + 174 T^{2} - 711 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 + 8 T + 169 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T + 57 T^{2} - 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 + 126 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 8 T + 79 T^{2} )^{4}$$)($$( 1 + 126 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 33 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 + 129 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} )^{4}$$)($$( 1 + 14 T + 79 T^{2} )^{8}$$)($$( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} )^{4}$$)($$( 1 + 8 T + 79 T^{2} )^{8}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{8}$$)($$( 1 - 142 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 142 T^{2} + 6241 T^{4} )^{4}$$)($$1 - 372 T^{2} + 73090 T^{4} - 9878564 T^{6} + 1031952175 T^{8} - 90900376040 T^{10} + 7353042693660 T^{12} - 567309246865640 T^{14} + 40194620804376175 T^{16} - 2401354986961351844 T^{18} +$$$$11\!\cdots\!90$$$$T^{20} -$$$$35\!\cdots\!72$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 - 372 T^{2} + 73090 T^{4} - 9878564 T^{6} + 1031952175 T^{8} - 90900376040 T^{10} + 7353042693660 T^{12} - 567309246865640 T^{14} + 40194620804376175 T^{16} - 2401354986961351844 T^{18} +$$$$11\!\cdots\!90$$$$T^{20} -$$$$35\!\cdots\!72$$$$T^{22} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$( 1 - 388 T^{2} + 72202 T^{4} - 8684944 T^{6} + 776480659 T^{8} - 54202735504 T^{10} + 2812273748362 T^{12} - 94317932742148 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 - 388 T^{2} + 72202 T^{4} - 8684944 T^{6} + 776480659 T^{8} - 54202735504 T^{10} + 2812273748362 T^{12} - 94317932742148 T^{14} + 1517108809906561 T^{16} )^{2}$$)($$( 1 - 5 T - 54 T^{2} - 395 T^{3} + 6241 T^{4} )^{4}$$)($$( 1 - 4 T + 79 T^{2} )^{4}( 1 + 17 T + 79 T^{2} )^{4}$$)($$( 1 - 17 T + 79 T^{2} )^{2}( 1 + 4 T + 79 T^{2} )^{2}$$)($$( 1 - 17 T + 79 T^{2} )^{2}( 1 + 4 T + 79 T^{2} )^{2}$$)($$( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 + 7 T - 30 T^{2} + 553 T^{3} + 6241 T^{4} )^{4}$$)($$1 - 18 T - 177 T^{2} + 3346 T^{3} + 40923 T^{4} - 454344 T^{5} - 6959816 T^{6} + 45880152 T^{7} + 889910193 T^{8} - 3054243566 T^{9} - 93786004551 T^{10} + 82100387598 T^{11} + 8378036930038 T^{12} + 6485930620242 T^{13} - 585318454402791 T^{14} - 1505861193537074 T^{15} + 34662074100075633 T^{16} + 141175815298692648 T^{17} - 1691843962334344136 T^{18} - 8725180824407424696 T^{19} + 62084643827806195803 T^{20} +$$$$40\!\cdots\!74$$$$T^{21} -$$$$16\!\cdots\!77$$$$T^{22} -$$$$13\!\cdots\!22$$$$T^{23} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 - 18 T - 177 T^{2} + 3346 T^{3} + 40923 T^{4} - 454344 T^{5} - 6959816 T^{6} + 45880152 T^{7} + 889910193 T^{8} - 3054243566 T^{9} - 93786004551 T^{10} + 82100387598 T^{11} + 8378036930038 T^{12} + 6485930620242 T^{13} - 585318454402791 T^{14} - 1505861193537074 T^{15} + 34662074100075633 T^{16} + 141175815298692648 T^{17} - 1691843962334344136 T^{18} - 8725180824407424696 T^{19} + 62084643827806195803 T^{20} +$$$$40\!\cdots\!74$$$$T^{21} -$$$$16\!\cdots\!77$$$$T^{22} -$$$$13\!\cdots\!22$$$$T^{23} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$( 1 + 20 T + 48 T^{2} - 932 T^{3} + 3095 T^{4} + 74406 T^{5} - 479348 T^{6} - 4107202 T^{7} + 15334692 T^{8} - 324468958 T^{9} - 2991610868 T^{10} + 36685059834 T^{11} + 120550500695 T^{12} - 2867816563868 T^{13} + 11668197865008 T^{14} + 384078179723180 T^{15} + 1517108809906561 T^{16} )^{2}$$)($$( 1 + 20 T + 48 T^{2} - 932 T^{3} + 3095 T^{4} + 74406 T^{5} - 479348 T^{6} - 4107202 T^{7} + 15334692 T^{8} - 324468958 T^{9} - 2991610868 T^{10} + 36685059834 T^{11} + 120550500695 T^{12} - 2867816563868 T^{13} + 11668197865008 T^{14} + 384078179723180 T^{15} + 1517108809906561 T^{16} )^{2}$$)
$83$ ($$1 - 4 T + 83 T^{2}$$)($$1 + 16 T + 83 T^{2}$$)($$1 + 12 T + 83 T^{2}$$)($$1 + 16 T + 83 T^{2}$$)($$1 - 8 T + 83 T^{2}$$)($$1 - 12 T + 83 T^{2}$$)($$1 - 16 T + 83 T^{2}$$)($$1 + 4 T + 83 T^{2}$$)($$1 + 8 T + 83 T^{2}$$)($$1 - 16 T + 83 T^{2}$$)($$1 + 4 T + 83 T^{2}$$)($$1 + 16 T + 210 T^{2} + 1328 T^{3} + 6889 T^{4}$$)($$( 1 - 8 T + 83 T^{2} )^{2}$$)($$1 - 2 T + 122 T^{2} - 166 T^{3} + 6889 T^{4}$$)($$1 + 8 T + 130 T^{2} + 664 T^{3} + 6889 T^{4}$$)($$( 1 - 4 T + 83 T^{2} )^{2}$$)($$( 1 + 83 T^{2} )^{2}$$)($$1 + 16 T + 150 T^{2} + 1328 T^{3} + 6889 T^{4}$$)($$1 + 2 T + 122 T^{2} + 166 T^{3} + 6889 T^{4}$$)($$1 - 8 T + 130 T^{2} - 664 T^{3} + 6889 T^{4}$$)($$( 1 + 8 T + 83 T^{2} )^{2}$$)($$1 - 16 T + 210 T^{2} - 1328 T^{3} + 6889 T^{4}$$)($$1 + 8 T + 185 T^{2} + 1072 T^{3} + 15355 T^{4} + 55112 T^{5} + 571787 T^{6}$$)($$1 - 8 T + 185 T^{2} - 1072 T^{3} + 15355 T^{4} - 55112 T^{5} + 571787 T^{6}$$)($$1 + 36 T^{2} - 2602 T^{4} + 248004 T^{6} + 47458321 T^{8}$$)($$1 + 36 T^{2} - 2602 T^{4} + 248004 T^{6} + 47458321 T^{8}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 - 12 T + 190 T^{2} - 996 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 12 T + 190 T^{2} + 996 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 112 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 112 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 83 T^{2} )^{8}$$)($$( 1 + 83 T^{2} )^{8}$$)($$( 1 + 268 T^{2} + 30870 T^{4} + 1846252 T^{6} + 47458321 T^{8} )^{4}$$)($$1 - 22 T^{2} + 6889 T^{4}$$)($$1 - 150 T^{2} + 6889 T^{4}$$)($$1 - 22 T^{2} + 6889 T^{4}$$)($$1 - 44 T^{2} - 6218 T^{4} - 303116 T^{6} + 47458321 T^{8}$$)($$( 1 - 150 T^{2} + 6889 T^{4} )^{2}$$)($$1 - 164 T^{2} + 15382 T^{4} - 1129796 T^{6} + 47458321 T^{8}$$)($$1 - 196 T^{2} + 20054 T^{4} - 1350244 T^{6} + 47458321 T^{8}$$)($$( 1 - 102 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 83 T^{2} )^{4}$$)($$( 1 - 102 T^{2} + 6889 T^{4} )^{2}$$)($$1 - 240 T^{2} + 27998 T^{4} - 1653360 T^{6} + 47458321 T^{8}$$)($$( 1 - 36 T^{2} - 2602 T^{4} - 248004 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 236 T^{2} + 25974 T^{4} - 1625804 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 112 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 - 236 T^{2} + 25974 T^{4} - 1625804 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 83 T^{2} )^{8}$$)($$( 1 - 83 T^{2} )^{16}$$)($$( 1 - 32 T + 512 T^{2} - 5984 T^{3} + 59122 T^{4} - 496672 T^{5} + 3527168 T^{6} - 18297184 T^{7} + 47458321 T^{8} )^{2}$$)($$( 1 + 32 T + 512 T^{2} + 5984 T^{3} + 59122 T^{4} + 496672 T^{5} + 3527168 T^{6} + 18297184 T^{7} + 47458321 T^{8} )^{2}$$)($$1 + 24 T + 288 T^{2} + 2760 T^{3} + 26518 T^{4} + 273208 T^{5} + 2728608 T^{6} + 24159272 T^{7} + 240213375 T^{8} + 2803489520 T^{9} + 29745965888 T^{10} + 283235701200 T^{11} + 2619914616372 T^{12} + 23508563199600 T^{13} + 204919959002432 T^{14} + 1602998862172240 T^{15} + 11400123459243375 T^{16} + 95164354313291896 T^{17} + 892092118297640352 T^{18} + 7413786218774013416 T^{19} + 59726285411863089238 T^{20} +$$$$51\!\cdots\!80$$$$T^{21} +$$$$44\!\cdots\!12$$$$T^{22} +$$$$30\!\cdots\!08$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$1 - 24 T + 288 T^{2} - 2760 T^{3} + 26518 T^{4} - 273208 T^{5} + 2728608 T^{6} - 24159272 T^{7} + 240213375 T^{8} - 2803489520 T^{9} + 29745965888 T^{10} - 283235701200 T^{11} + 2619914616372 T^{12} - 23508563199600 T^{13} + 204919959002432 T^{14} - 1602998862172240 T^{15} + 11400123459243375 T^{16} - 95164354313291896 T^{17} + 892092118297640352 T^{18} - 7413786218774013416 T^{19} + 59726285411863089238 T^{20} -$$$$51\!\cdots\!80$$$$T^{21} +$$$$44\!\cdots\!12$$$$T^{22} -$$$$30\!\cdots\!08$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$( 1 - 8 T + 32 T^{2} - 312 T^{3} - 12412 T^{4} + 81992 T^{5} - 210080 T^{6} - 402504 T^{7} + 81059878 T^{8} - 33407832 T^{9} - 1447241120 T^{10} + 46881959704 T^{11} - 589052680252 T^{12} - 1228980680616 T^{13} + 10462091947808 T^{14} - 217088407917016 T^{15} + 2252292232139041 T^{16} )^{2}$$)($$( 1 + 8 T + 32 T^{2} + 312 T^{3} - 12412 T^{4} - 81992 T^{5} - 210080 T^{6} + 402504 T^{7} + 81059878 T^{8} + 33407832 T^{9} - 1447241120 T^{10} - 46881959704 T^{11} - 589052680252 T^{12} + 1228980680616 T^{13} + 10462091947808 T^{14} + 217088407917016 T^{15} + 2252292232139041 T^{16} )^{2}$$)($$( 1 - 112 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 - 112 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 + 112 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 112 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 112 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 58 T^{2} + 6889 T^{4} )^{4}$$)($$( 1 + 12 T + 300 T^{2} + 3204 T^{3} + 50769 T^{4} + 448284 T^{5} + 5149954 T^{6} + 37207572 T^{7} + 349747641 T^{8} + 1832005548 T^{9} + 14237496300 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} )^{2}$$)($$( 1 - 12 T + 300 T^{2} - 3204 T^{3} + 50769 T^{4} - 448284 T^{5} + 5149954 T^{6} - 37207572 T^{7} + 349747641 T^{8} - 1832005548 T^{9} + 14237496300 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} )^{2}$$)($$( 1 - 26 T^{2} + 11944 T^{4} - 144062 T^{6} + 103766434 T^{8} - 992443118 T^{10} + 566842186024 T^{12} - 8500449707594 T^{14} + 2252292232139041 T^{16} )^{2}$$)($$( 1 - 26 T^{2} + 11944 T^{4} - 144062 T^{6} + 103766434 T^{8} - 992443118 T^{10} + 566842186024 T^{12} - 8500449707594 T^{14} + 2252292232139041 T^{16} )^{2}$$)
$89$ ($$1 + 89 T^{2}$$)($$1 - 12 T + 89 T^{2}$$)($$1 - 14 T + 89 T^{2}$$)($$1 + 12 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 - 12 T + 89 T^{2}$$)($$1 + 12 T + 89 T^{2}$$)($$1 - 6 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 - 12 T + 89 T^{2}$$)($$1 + 89 T^{2}$$)($$1 + 2 T + 134 T^{2} + 178 T^{3} + 7921 T^{4}$$)($$1 - 12 T + 86 T^{2} - 1068 T^{3} + 7921 T^{4}$$)($$1 + 30 T + 398 T^{2} + 2670 T^{3} + 7921 T^{4}$$)($$1 - 6 T + 70 T^{2} - 534 T^{3} + 7921 T^{4}$$)($$1 + 6 T + 170 T^{2} + 534 T^{3} + 7921 T^{4}$$)($$1 + 166 T^{2} + 7921 T^{4}$$)($$( 1 - 2 T + 89 T^{2} )^{2}$$)($$1 + 30 T + 398 T^{2} + 2670 T^{3} + 7921 T^{4}$$)($$1 - 6 T + 70 T^{2} - 534 T^{3} + 7921 T^{4}$$)($$1 + 12 T + 86 T^{2} + 1068 T^{3} + 7921 T^{4}$$)($$1 + 2 T + 134 T^{2} + 178 T^{3} + 7921 T^{4}$$)($$1 + 14 T + 319 T^{2} + 2532 T^{3} + 28391 T^{4} + 110894 T^{5} + 704969 T^{6}$$)($$1 + 14 T + 319 T^{2} + 2532 T^{3} + 28391 T^{4} + 110894 T^{5} + 704969 T^{6}$$)($$1 + 160 T^{2} + 12846 T^{4} + 1267360 T^{6} + 62742241 T^{8}$$)($$1 + 160 T^{2} + 12846 T^{4} + 1267360 T^{6} + 62742241 T^{8}$$)($$( 1 + 89 T^{2} )^{4}$$)($$( 1 - 12 T + 166 T^{2} - 1068 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 12 T + 166 T^{2} + 1068 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 38 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 - 38 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 + 89 T^{2} )^{8}$$)($$( 1 + 89 T^{2} )^{8}$$)($$( 1 + 140 T^{2} + 18798 T^{4} + 1108940 T^{6} + 62742241 T^{8} )^{4}$$)($$( 1 + 14 T + 89 T^{2} )^{2}$$)($$( 1 + 6 T + 89 T^{2} )^{2}$$)($$( 1 + 12 T + 89 T^{2} )^{2}$$)($$( 1 + 2 T + 89 T^{2} )^{4}$$)($$( 1 - 6 T + 170 T^{2} - 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 2 T + 134 T^{2} - 178 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T + 70 T^{2} + 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 12 T + 86 T^{2} - 1068 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 166 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 + 12 T + 86 T^{2} + 1068 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 30 T + 398 T^{2} - 2670 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 160 T^{2} + 12846 T^{4} + 1267360 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 - 12 T + 166 T^{2} - 1068 T^{3} + 7921 T^{4} )^{4}$$)($$( 1 - 38 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 + 12 T + 166 T^{2} + 1068 T^{3} + 7921 T^{4} )^{4}$$)($$( 1 + 89 T^{2} )^{8}$$)($$( 1 + 89 T^{2} )^{16}$$)($$( 1 - 22 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 22 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 + 28 T + 684 T^{2} + 11188 T^{3} + 161827 T^{4} + 1876496 T^{5} + 19427016 T^{6} + 167008144 T^{7} + 1281831667 T^{8} + 7887193172 T^{9} + 42915692844 T^{10} + 156353664572 T^{11} + 496981290961 T^{12} )^{2}$$)($$( 1 - 28 T + 684 T^{2} - 11188 T^{3} + 161827 T^{4} - 1876496 T^{5} + 19427016 T^{6} - 167008144 T^{7} + 1281831667 T^{8} - 7887193172 T^{9} + 42915692844 T^{10} - 156353664572 T^{11} + 496981290961 T^{12} )^{2}$$)($$( 1 + 488 T^{2} + 119308 T^{4} + 18415256 T^{6} + 1956713638 T^{8} + 145867242776 T^{10} + 7485651289228 T^{12} + 242526869988968 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 + 488 T^{2} + 119308 T^{4} + 18415256 T^{6} + 1956713638 T^{8} + 145867242776 T^{10} + 7485651289228 T^{12} + 242526869988968 T^{14} + 3936588805702081 T^{16} )^{2}$$)($$( 1 - 154 T^{2} + 15795 T^{4} - 1219834 T^{6} + 62742241 T^{8} )^{2}$$)($$( 1 - 124 T^{2} + 7455 T^{4} - 982204 T^{6} + 62742241 T^{8} )^{2}$$)($$1 - 124 T^{2} + 7455 T^{4} - 982204 T^{6} + 62742241 T^{8}$$)($$1 - 124 T^{2} + 7455 T^{4} - 982204 T^{6} + 62742241 T^{8}$$)($$1 - 154 T^{2} + 15795 T^{4} - 1219834 T^{6} + 62742241 T^{8}$$)($$( 1 + 116 T^{2} + 5535 T^{4} + 918836 T^{6} + 62742241 T^{8} )^{2}$$)($$1 + 12 T - 282 T^{2} - 648 T^{3} + 81261 T^{4} - 90852 T^{5} - 10133890 T^{6} + 68061132 T^{7} + 906987750 T^{8} - 7493819688 T^{9} - 22404081252 T^{10} + 403242866028 T^{11} + 351385075713 T^{12} + 35888615076492 T^{13} - 177462727597092 T^{14} - 5282910571629672 T^{15} + 56906443994547750 T^{16} + 380057407254236268 T^{17} - 5036353734656768290 T^{18} - 4018505237928600708 T^{19} +$$$$31\!\cdots\!41$$$$T^{20} -$$$$22\!\cdots\!32$$$$T^{21} -$$$$87\!\cdots\!82$$$$T^{22} +$$$$33\!\cdots\!68$$$$T^{23} +$$$$24\!\cdots\!21$$$$T^{24}$$)($$1 - 12 T - 282 T^{2} + 648 T^{3} + 81261 T^{4} + 90852 T^{5} - 10133890 T^{6} - 68061132 T^{7} + 906987750 T^{8} + 7493819688 T^{9} - 22404081252 T^{10} - 403242866028 T^{11} + 351385075713 T^{12} - 35888615076492 T^{13} - 177462727597092 T^{14} + 5282910571629672 T^{15} + 56906443994547750 T^{16} - 380057407254236268 T^{17} - 5036353734656768290 T^{18} + 4018505237928600708 T^{19} +$$$$31\!\cdots\!41$$$$T^{20} +$$$$22\!\cdots\!32$$$$T^{21} -$$$$87\!\cdots\!82$$$$T^{22} -$$$$33\!\cdots\!68$$$$T^{23} +$$$$24\!\cdots\!21$$$$T^{24}$$)($$1 - 274 T^{2} + 39456 T^{4} - 2343500 T^{6} - 104444614 T^{8} + 34279054002 T^{10} - 2550582735800 T^{12} + 19462808419946 T^{14} + 9741779321027607 T^{16} + 154164905494392266 T^{18} -$$$$16\!\cdots\!00$$$$T^{20} +$$$$17\!\cdots\!22$$$$T^{22} -$$$$41\!\cdots\!34$$$$T^{24} -$$$$73\!\cdots\!00$$$$T^{26} +$$$$97\!\cdots\!76$$$$T^{28} -$$$$53\!\cdots\!34$$$$T^{30} +$$$$15\!\cdots\!61$$$$T^{32}$$)($$1 - 274 T^{2} + 39456 T^{4} - 2343500 T^{6} - 104444614 T^{8} + 34279054002 T^{10} - 2550582735800 T^{12} + 19462808419946 T^{14} + 9741779321027607 T^{16} + 154164905494392266 T^{18} -$$$$16\!\cdots\!00$$$$T^{20} +$$$$17\!\cdots\!22$$$$T^{22} -$$$$41\!\cdots\!34$$$$T^{24} -$$$$73\!\cdots\!00$$$$T^{26} +$$$$97\!\cdots\!76$$$$T^{28} -$$$$53\!\cdots\!34$$$$T^{30} +$$$$15\!\cdots\!61$$$$T^{32}$$)
$97$ ($$1 - 7 T + 97 T^{2}$$)($$1 - 4 T + 97 T^{2}$$)($$1 + 18 T + 97 T^{2}$$)($$1 + 4 T + 97 T^{2}$$)($$1 - 2 T + 97 T^{2}$$)($$1 - T + 97 T^{2}$$)($$1 - 4 T + 97 T^{2}$$)($$1 - 18 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 4 T + 97 T^{2}$$)($$1 + 7 T + 97 T^{2}$$)($$1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4}$$)($$1 - 12 T + 222 T^{2} - 1164 T^{3} + 9409 T^{4}$$)($$1 - 6 T + 198 T^{2} - 582 T^{3} + 9409 T^{4}$$)($$1 + 16 T + 206 T^{2} + 1552 T^{3} + 9409 T^{4}$$)($$1 - 9 T + 108 T^{2} - 873 T^{3} + 9409 T^{4}$$)($$( 1 + 14 T + 97 T^{2} )^{2}$$)($$1 + 8 T + 190 T^{2} + 776 T^{3} + 9409 T^{4}$$)($$1 + 6 T + 198 T^{2} + 582 T^{3} + 9409 T^{4}$$)($$1 - 16 T + 206 T^{2} - 1552 T^{3} + 9409 T^{4}$$)($$1 - 12 T + 222 T^{2} - 1164 T^{3} + 9409 T^{4}$$)($$1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4}$$)($$1 + 22 T + 255 T^{2} + 2404 T^{3} + 24735 T^{4} + 206998 T^{5} + 912673 T^{6}$$)($$1 - 22 T + 255 T^{2} - 2404 T^{3} + 24735 T^{4} - 206998 T^{5} + 912673 T^{6}$$)($$( 1 + 78 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 78 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{4}$$)($$1 - 52 T^{2} + 15606 T^{4} - 489268 T^{6} + 88529281 T^{8}$$)($$1 - 52 T^{2} + 15606 T^{4} - 489268 T^{6} + 88529281 T^{8}$$)($$( 1 - 19 T + 97 T^{2} )^{2}( 1 + 19 T + 97 T^{2} )^{2}$$)($$( 1 - 19 T + 97 T^{2} )^{2}( 1 + 19 T + 97 T^{2} )^{2}$$)($$( 1 - 97 T^{2} )^{8}$$)($$( 1 - 97 T^{2} )^{8}$$)($$( 1 - 356 T^{2} + 50286 T^{4} - 3349604 T^{6} + 88529281 T^{8} )^{4}$$)($$( 1 - 8 T + 97 T^{2} )( 1 + 8 T + 97 T^{2} )$$)($$( 1 - 8 T + 97 T^{2} )( 1 + 8 T + 97 T^{2} )$$)($$1 - 193 T^{2} + 9409 T^{4}$$)($$1 - 316 T^{2} + 42502 T^{4} - 2973244 T^{6} + 88529281 T^{8}$$)($$1 - 135 T^{2} + 14768 T^{4} - 1270215 T^{6} + 88529281 T^{8}$$)($$1 - 220 T^{2} + 25798 T^{4} - 2069980 T^{6} + 88529281 T^{8}$$)($$1 - 156 T^{2} + 11590 T^{4} - 1467804 T^{6} + 88529281 T^{8}$$)($$1 - 300 T^{2} + 40166 T^{4} - 2822700 T^{6} + 88529281 T^{8}$$)($$( 1 + 2 T^{2} + 9409 T^{4} )^{2}$$)($$1 - 300 T^{2} + 40166 T^{4} - 2822700 T^{6} + 88529281 T^{8}$$)($$1 - 360 T^{2} + 51038 T^{4} - 3387240 T^{6} + 88529281 T^{8}$$)($$( 1 - 78 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 + 52 T^{2} + 15606 T^{4} + 489268 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 + 167 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 + 52 T^{2} + 15606 T^{4} + 489268 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 + 97 T^{2} )^{8}$$)($$( 1 + 97 T^{2} )^{16}$$)($$1 - 3836 T^{4} - 51582714 T^{8} - 339598321916 T^{12} + 7837433594376961 T^{16}$$)($$1 - 3836 T^{4} - 51582714 T^{8} - 339598321916 T^{12} + 7837433594376961 T^{16}$$)($$1 + 12 T + 72 T^{2} + 884 T^{3} + 15450 T^{4} + 102628 T^{5} + 509864 T^{6} + 1529948 T^{7} - 62272049 T^{8} - 410787880 T^{9} - 1704538608 T^{10} - 69640900504 T^{11} - 1520682376276 T^{12} - 6755167348888 T^{13} - 16038003762672 T^{14} - 374915006803240 T^{15} - 5512899724366769 T^{16} + 13138184051516636 T^{17} + 424702438321119656 T^{18} + 8292166339419780964 T^{19} +$$$$12\!\cdots\!50$$$$T^{20} +$$$$67\!\cdots\!28$$$$T^{21} +$$$$53\!\cdots\!28$$$$T^{22} +$$$$85\!\cdots\!36$$$$T^{23} +$$$$69\!\cdots\!41$$$$T^{24}$$)($$1 + 12 T + 72 T^{2} + 884 T^{3} + 15450 T^{4} + 102628 T^{5} + 509864 T^{6} + 1529948 T^{7} - 62272049 T^{8} - 410787880 T^{9} - 1704538608 T^{10} - 69640900504 T^{11} - 1520682376276 T^{12} - 6755167348888 T^{13} - 16038003762672 T^{14} - 374915006803240 T^{15} - 5512899724366769 T^{16} + 13138184051516636 T^{17} + 424702438321119656 T^{18} + 8292166339419780964 T^{19} +$$$$12\!\cdots\!50$$$$T^{20} +$$$$67\!\cdots\!28$$$$T^{21} +$$$$53\!\cdots\!28$$$$T^{22} +$$$$85\!\cdots\!36$$$$T^{23} +$$$$69\!\cdots\!41$$$$T^{24}$$)($$1 + 14984 T^{4} + 94954780 T^{8} - 251532176968 T^{12} - 11937369278985146 T^{16} - 22267962775341800008 T^{20} +$$$$74\!\cdots\!80$$$$T^{24} +$$$$10\!\cdots\!44$$$$T^{28} +$$$$61\!\cdots\!21$$$$T^{32}$$)($$1 + 14984 T^{4} + 94954780 T^{8} - 251532176968 T^{12} - 11937369278985146 T^{16} - 22267962775341800008 T^{20} +$$$$74\!\cdots\!80$$$$T^{24} +$$$$10\!\cdots\!44$$$$T^{28} +$$$$61\!\cdots\!21$$$$T^{32}$$)($$( 1 + 86 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 + 191 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 191 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 191 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 86 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 166 T^{2} + 9409 T^{4} )^{4}$$)($$1 - 432 T^{2} + 85686 T^{4} - 12118408 T^{6} + 1564041327 T^{8} - 184182428136 T^{10} + 19001698536324 T^{12} - 1732972466331624 T^{14} + 138463454133595887 T^{16} - 10094294608307633032 T^{18} +$$$$67\!\cdots\!46$$$$T^{20} -$$$$31\!\cdots\!68$$$$T^{22} +$$$$69\!\cdots\!41$$$$T^{24}$$)($$1 - 432 T^{2} + 85686 T^{4} - 12118408 T^{6} + 1564041327 T^{8} - 184182428136 T^{10} + 19001698536324 T^{12} - 1732972466331624 T^{14} + 138463454133595887 T^{16} - 10094294608307633032 T^{18} +$$$$67\!\cdots\!46$$$$T^{20} -$$$$31\!\cdots\!68$$$$T^{22} +$$$$69\!\cdots\!41$$$$T^{24}$$)($$( 1 - 380 T^{2} + 72514 T^{4} - 9832688 T^{6} + 1060287259 T^{8} - 92515761392 T^{10} + 6419612282434 T^{12} - 316529361873020 T^{14} + 7837433594376961 T^{16} )^{2}$$)($$( 1 - 380 T^{2} + 72514 T^{4} - 9832688 T^{6} + 1060287259 T^{8} - 92515761392 T^{10} + 6419612282434 T^{12} - 316529361873020 T^{14} + 7837433594376961 T^{16} )^{2}$$)