# Properties

 Label 700.2 Level 700 Weight 2 Dimension 7214 Nonzero newspaces 24 Newform subspaces 88 Sturm bound 57600 Trace bound 7

## Defining parameters

 Level: $$N$$ = $$700\( 700 = 2^{2} \cdot 5^{2} \cdot 7$$ \) Weight: $$k$$ = $$2$$ Nonzero newspaces: $$24$$ Newform subspaces: $$88$$ Sturm bound: $$57600$$ Trace bound: $$7$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(700))$$.

Total New Old
Modular forms 15240 7626 7614
Cusp forms 13561 7214 6347
Eisenstein series 1679 412 1267

## Trace form

 $$7214q - 27q^{2} - 9q^{3} - 19q^{4} - 66q^{5} - 24q^{6} - 39q^{8} - 32q^{9} + O(q^{10})$$ $$7214q - 27q^{2} - 9q^{3} - 19q^{4} - 66q^{5} - 24q^{6} - 39q^{8} - 32q^{9} - 16q^{10} + 3q^{11} - 4q^{12} - 28q^{13} - 17q^{14} + 4q^{15} - 47q^{16} - 21q^{17} - 37q^{18} + 25q^{19} - 36q^{20} - 67q^{21} - 70q^{22} + 61q^{23} - 48q^{24} + 30q^{25} - 60q^{26} + 138q^{27} - 53q^{28} + 8q^{29} - 28q^{30} + 79q^{31} + 13q^{32} + 137q^{33} - 40q^{34} + 44q^{35} - 91q^{36} - 11q^{37} - 58q^{38} + 22q^{39} - 136q^{40} - 68q^{41} - 114q^{42} - 80q^{43} - 138q^{44} - 170q^{45} - 132q^{46} - 71q^{47} - 276q^{48} - 118q^{49} - 284q^{50} - 75q^{51} - 308q^{52} - 95q^{53} - 438q^{54} - 104q^{55} - 189q^{56} - 366q^{57} - 322q^{58} - 117q^{59} - 348q^{60} - 105q^{61} - 332q^{62} - 188q^{63} - 391q^{64} - 38q^{65} - 414q^{66} - 97q^{67} - 328q^{68} - 174q^{69} - 218q^{70} - 64q^{71} - 379q^{72} - 193q^{73} - 312q^{74} + 60q^{75} - 288q^{76} - 95q^{77} - 376q^{78} - 67q^{79} - 104q^{80} - 337q^{81} - 100q^{82} + 52q^{83} - 138q^{84} - 294q^{85} - 18q^{86} + 2q^{87} + 50q^{88} - 67q^{89} + 212q^{90} + 76q^{91} + 142q^{92} - 39q^{93} + 274q^{94} + 24q^{95} + 152q^{96} - 236q^{97} + 135q^{98} + 84q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(700))$$

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
700.2.a $$\chi_{700}(1, \cdot)$$ 700.2.a.a 1 1
700.2.a.b 1
700.2.a.c 1
700.2.a.d 1
700.2.a.e 1
700.2.a.f 1
700.2.a.g 1
700.2.a.h 1
700.2.a.i 1
700.2.a.j 1
700.2.c $$\chi_{700}(699, \cdot)$$ 700.2.c.a 4 1
700.2.c.b 4
700.2.c.c 4
700.2.c.d 4
700.2.c.e 4
700.2.c.f 4
700.2.c.g 4
700.2.c.h 8
700.2.c.i 8
700.2.c.j 8
700.2.c.k 16
700.2.e $$\chi_{700}(449, \cdot)$$ 700.2.e.a 2 1
700.2.e.b 2
700.2.e.c 2
700.2.e.d 2
700.2.g $$\chi_{700}(251, \cdot)$$ 700.2.g.a 2 1
700.2.g.b 4
700.2.g.c 4
700.2.g.d 4
700.2.g.e 4
700.2.g.f 4
700.2.g.g 4
700.2.g.h 4
700.2.g.i 8
700.2.g.j 8
700.2.g.k 8
700.2.g.l 16
700.2.i $$\chi_{700}(401, \cdot)$$ 700.2.i.a 2 2
700.2.i.b 2
700.2.i.c 2
700.2.i.d 6
700.2.i.e 6
700.2.i.f 8
700.2.k $$\chi_{700}(43, \cdot)$$ 700.2.k.a 24 2
700.2.k.b 36
700.2.k.c 48
700.2.m $$\chi_{700}(293, \cdot)$$ 700.2.m.a 8 2
700.2.m.b 8
700.2.m.c 8
700.2.n $$\chi_{700}(141, \cdot)$$ 700.2.n.a 4 4
700.2.n.b 4
700.2.n.c 20
700.2.n.d 28
700.2.p $$\chi_{700}(451, \cdot)$$ 700.2.p.a 4 2
700.2.p.b 8
700.2.p.c 32
700.2.p.d 32
700.2.p.e 32
700.2.p.f 32
700.2.r $$\chi_{700}(149, \cdot)$$ 700.2.r.a 4 2
700.2.r.b 4
700.2.r.c 4
700.2.r.d 12
700.2.t $$\chi_{700}(199, \cdot)$$ 700.2.t.a 4 2
700.2.t.b 4
700.2.t.c 32
700.2.t.d 32
700.2.t.e 64
700.2.w $$\chi_{700}(111, \cdot)$$ 700.2.w.a 464 4
700.2.y $$\chi_{700}(29, \cdot)$$ 700.2.y.a 64 4
700.2.ba $$\chi_{700}(139, \cdot)$$ 700.2.ba.a 464 4
700.2.bc $$\chi_{700}(157, \cdot)$$ 700.2.bc.a 8 4
700.2.bc.b 16
700.2.bc.c 24
700.2.be $$\chi_{700}(107, \cdot)$$ 700.2.be.a 8 4
700.2.be.b 8
700.2.be.c 8
700.2.be.d 48
700.2.be.e 72
700.2.be.f 128
700.2.bg $$\chi_{700}(81, \cdot)$$ 700.2.bg.a 160 8
700.2.bh $$\chi_{700}(13, \cdot)$$ 700.2.bh.a 160 8
700.2.bj $$\chi_{700}(127, \cdot)$$ 700.2.bj.a 720 8
700.2.bm $$\chi_{700}(19, \cdot)$$ 700.2.bm.a 928 8
700.2.bo $$\chi_{700}(9, \cdot)$$ 700.2.bo.a 160 8
700.2.bq $$\chi_{700}(31, \cdot)$$ 700.2.bq.a 928 8
700.2.bt $$\chi_{700}(23, \cdot)$$ 700.2.bt.a 1856 16
700.2.bv $$\chi_{700}(17, \cdot)$$ 700.2.bv.a 320 16

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(700))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(700)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(20))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(25))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(35))$$$$^{\oplus 6}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(50))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(70))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(100))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(140))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(175))$$$$^{\oplus 3}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(350))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ ($$( 1 + 2 T + 2 T^{2} )^{2}$$)($$1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4}$$)($$1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4}$$)($$1 - 3 T^{2} + 4 T^{4}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$( 1 - 2 T + 2 T^{2} )^{2}$$)($$1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8}$$)($$1 + T^{2} + 4 T^{4} + 4 T^{6} + 16 T^{8}$$)($$1 + T^{2} + 4 T^{4} + 4 T^{6} + 16 T^{8}$$)($$( 1 - 2 T^{2} + T^{4} - 8 T^{6} + 16 T^{8} )^{2}$$)($$1 - T + 2 T^{2}$$)($$( 1 + 2 T + 2 T^{2} )^{2}$$)($$1 + T - T^{2} + 2 T^{3} + 4 T^{4}$$)($$( 1 + 2 T^{2} )^{2}$$)($$1 - T - T^{2} - 2 T^{3} + 4 T^{4}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$( 1 - 2 T + 2 T^{2} )^{2}$$)($$( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} )^{2}$$)($$( 1 + T + 2 T^{3} + 4 T^{4} )^{2}$$)($$( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} )^{2}$$)($$( 1 - 3 T^{2} + 6 T^{4} - 12 T^{6} + 16 T^{8} )^{2}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$( 1 - 2 T^{2} + 4 T^{4} )^{2}$$)($$1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4}$$)($$1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4}$$)($$( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )^{2}$$)
$3$ ($$1 + 3 T + 3 T^{2}$$)($$1 + 3 T + 3 T^{2}$$)($$1 + 2 T + 3 T^{2}$$)($$1 + T + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 + 3 T^{2}$$)($$1 - 2 T + 3 T^{2}$$)($$1 - 3 T + 3 T^{2}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T^{2} )^{4}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 - 3 T^{2} )^{8}$$)($$( 1 - 2 T^{2} + 2 T^{4} - 18 T^{6} + 81 T^{8} )^{2}$$)($$( 1 - 2 T^{2} + 2 T^{4} - 18 T^{6} + 81 T^{8} )^{2}$$)($$( 1 - 2 T^{2} + 11 T^{4} - 18 T^{6} + 81 T^{8} )^{4}$$)($$1 + 3 T^{2} + 9 T^{4}$$)($$1 - 2 T^{2} + 9 T^{4}$$)($$1 - 5 T^{2} + 9 T^{4}$$)($$( 1 - 3 T^{2} )^{2}$$)($$( 1 + 3 T^{2} )^{2}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 + 3 T^{2} )^{4}$$)($$( 1 - 4 T^{2} + 9 T^{4} )^{2}$$)($$( 1 + 3 T^{2} )^{4}$$)($$( 1 + 3 T^{2} + 9 T^{4} )^{2}$$)($$( 1 + 3 T^{2} + 9 T^{4} )^{2}$$)($$( 1 + 9 T^{4} )^{2}$$)($$( 1 + 2 T^{2} + 11 T^{4} + 18 T^{6} + 81 T^{8} )^{2}$$)($$( 1 + 2 T^{2} + 2 T^{4} + 18 T^{6} + 81 T^{8} )^{2}$$)($$( 1 + 2 T^{2} + 11 T^{4} + 18 T^{6} + 81 T^{8} )^{2}$$)($$( 1 + 7 T^{2} + 26 T^{4} + 63 T^{6} + 81 T^{8} )^{4}$$)($$( 1 + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$$)($$1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4}$$)($$1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4}$$)($$1 + T - 5 T^{3} - 5 T^{4} + 6 T^{5} + 51 T^{6} + 18 T^{7} - 45 T^{8} - 135 T^{9} + 243 T^{11} + 729 T^{12}$$)($$1 - T + 5 T^{3} - 5 T^{4} - 6 T^{5} + 51 T^{6} - 18 T^{7} - 45 T^{8} + 135 T^{9} - 243 T^{11} + 729 T^{12}$$)($$( 1 - 3 T^{2} )^{4}( 1 + 3 T^{2} + 9 T^{4} )^{2}$$)($$1 + 17 T^{4} + 208 T^{8} + 1377 T^{12} + 6561 T^{16}$$)($$( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} )^{2}( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} )^{2}$$)($$1 - 3 T^{4} - 92 T^{8} - 243 T^{12} + 6561 T^{16}$$)($$1 + 3 T + T^{2} - T^{3} + 4 T^{4} - 3 T^{5} + 9 T^{6} + 81 T^{7} + 81 T^{8}$$)($$1 - 3 T + T^{2} + T^{3} + 4 T^{4} + 3 T^{5} + 9 T^{6} - 81 T^{7} + 81 T^{8}$$)($$1 + 3 T^{2} - 2 T^{3} + T^{4} - 24 T^{5} + 19 T^{6} - 52 T^{7} + 120 T^{8} - 135 T^{9} + 184 T^{10} - 856 T^{11} + 639 T^{12} - 2768 T^{13} + 4599 T^{14} - 7130 T^{15} + 11920 T^{16} - 19999 T^{17} + 42225 T^{18} - 61016 T^{19} + 202591 T^{20} - 183048 T^{21} + 380025 T^{22} - 539973 T^{23} + 965520 T^{24} - 1732590 T^{25} + 3352671 T^{26} - 6053616 T^{27} + 4192479 T^{28} - 16848648 T^{29} + 10865016 T^{30} - 23914845 T^{31} + 63772920 T^{32} - 82904796 T^{33} + 90876411 T^{34} - 344373768 T^{35} + 43046721 T^{36} - 258280326 T^{37} + 1162261467 T^{38} + 3486784401 T^{40}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} )$$)($$( 1 - 4 T^{2} + 9 T^{4} )^{2}( 1 + 4 T^{2} + 7 T^{4} + 36 T^{6} + 81 T^{8} )$$)($$1 + 5 T^{2} + 16 T^{4} + 45 T^{6} + 81 T^{8}$$)($$1 + 5 T^{2} + 16 T^{4} + 45 T^{6} + 81 T^{8}$$)($$( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} )$$)($$1 + T^{2} - 65 T^{6} - 41 T^{8} + 96 T^{10} + 2457 T^{12} + 864 T^{14} - 3321 T^{16} - 47385 T^{18} + 59049 T^{22} + 531441 T^{24}$$)($$( 1 + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2}$$)($$( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T^{2} )^{2}$$)($$1 - 7 T^{4} - 32 T^{8} - 567 T^{12} + 6561 T^{16}$$)($$1 + 6 T^{4} - 12 T^{5} - 84 T^{7} - 31 T^{8} - 72 T^{9} + 72 T^{10} - 768 T^{11} + 54 T^{12} + 828 T^{13} + 3960 T^{14} + 732 T^{15} + 7780 T^{16} + 2196 T^{17} + 35640 T^{18} + 22356 T^{19} + 4374 T^{20} - 186624 T^{21} + 52488 T^{22} - 157464 T^{23} - 203391 T^{24} - 1653372 T^{25} - 2125764 T^{27} + 3188646 T^{28} + 43046721 T^{32}$$)($$( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} )^{2}( 1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8} )$$)($$( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} )^{2}( 1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8} )$$)($$1 + 17 T^{4} + 208 T^{8} + 1377 T^{12} + 6561 T^{16}$$)
$5$ ($$( 1 - 5 T^{2} )^{2}$$)($$( 1 - 5 T^{2} )^{2}$$)($$1 - 4 T + 6 T^{2} - 19 T^{3} + 66 T^{4} - 75 T^{5} + 245 T^{6} - 1045 T^{7} + 1680 T^{8} - 4000 T^{9} + 13825 T^{10} - 20000 T^{11} + 42000 T^{12} - 130625 T^{13} + 153125 T^{14} - 234375 T^{15} + 1031250 T^{16} - 1484375 T^{17} + 2343750 T^{18} - 7812500 T^{19} + 9765625 T^{20}$$)
$7$ ($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 - T$$)($$( 1 + 2 T + 7 T^{2} )^{2}$$)($$( 1 + 4 T + 7 T^{2} )^{2}$$)($$( 1 + 4 T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} )^{2}$$)($$( 1 - 4 T + 7 T^{2} )^{2}$$)($$( 1 - 4 T + 7 T^{2} )^{2}$$)($$( 1 - 2 T + 7 T^{2} )^{2}$$)($$( 1 - 7 T^{2} )^{4}$$)($$1 + 18 T^{2} + 162 T^{4} + 882 T^{6} + 2401 T^{8}$$)($$1 + 18 T^{2} + 162 T^{4} + 882 T^{6} + 2401 T^{8}$$)($$( 1 - 30 T^{4} + 2401 T^{8} )^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$1 + T^{2}$$)($$1 + 7 T^{2}$$)($$1 - 10 T^{2} + 49 T^{4}$$)($$( 1 + 7 T^{2} )^{2}$$)($$1 + 4 T^{2} + 49 T^{4}$$)($$( 1 + 7 T^{2} )^{2}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 - 10 T^{2} + 49 T^{4}$$)($$1 - 30 T^{4} + 2401 T^{8}$$)($$1 - 18 T^{2} + 162 T^{4} - 882 T^{6} + 2401 T^{8}$$)($$1 - 30 T^{4} + 2401 T^{8}$$)($$( 1 + 30 T^{4} + 2401 T^{8} )^{2}$$)($$1 + T + 7 T^{2}$$)($$1 + 5 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$1 - 4 T + 2 T^{2} + 11 T^{3} + 14 T^{4} - 196 T^{5} + 343 T^{6}$$)($$1 + 4 T + 2 T^{2} - 11 T^{3} + 14 T^{4} + 196 T^{5} + 343 T^{6}$$)($$1 + 5 T^{2} - 24 T^{4} + 245 T^{6} + 2401 T^{8}$$)($$( 1 + 49 T^{4} )^{2}$$)($$1 - 94 T^{4} + 2401 T^{8}$$)($$1 - 2 T + 2 T^{2} + 26 T^{3} - 62 T^{4} + 182 T^{5} + 98 T^{6} - 686 T^{7} + 2401 T^{8}$$)($$( 1 - T )^{4}$$)($$( 1 - T )^{4}$$)($$( 1 - T )^{20}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 - 4 T^{2} - 33 T^{4} - 196 T^{6} + 2401 T^{8}$$)($$1 + 11 T^{2} + 49 T^{4}$$)($$1 + 2 T^{2} + 49 T^{4}$$)($$1 - 13 T^{2} + 49 T^{4}$$)($$1 + 12 T^{2} + 120 T^{4} + 947 T^{6} + 5880 T^{8} + 28812 T^{10} + 117649 T^{12}$$)($$( 1 + 4 T + 7 T^{2} )^{2}$$)($$( 1 - 4 T + 7 T^{2} )^{2}$$)($$1 + 23 T^{4} + 2401 T^{8}$$)($$1 + 2 T + 2 T^{2} - 16 T^{3} - 83 T^{4} - 196 T^{5} - 98 T^{6} + 1470 T^{7} + 6468 T^{8} + 10290 T^{9} - 4802 T^{10} - 67228 T^{11} - 199283 T^{12} - 268912 T^{13} + 235298 T^{14} + 1647086 T^{15} + 5764801 T^{16}$$)($$1 - 6 T + 18 T^{2} - 24 T^{3} + 23 T^{4} - 168 T^{5} + 882 T^{6} - 2058 T^{7} + 2401 T^{8}$$)($$1 + 6 T + 18 T^{2} + 24 T^{3} + 23 T^{4} + 168 T^{5} + 882 T^{6} + 2058 T^{7} + 2401 T^{8}$$)($$1 - 49 T^{4} + 2401 T^{8}$$)
$11$ ($$1 - 3 T + 11 T^{2}$$)($$1 + 5 T + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 + 5 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 5 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$( 1 + 3 T^{2} + 121 T^{4} )^{2}$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$( 1 - 4 T + 11 T^{2} )^{2}( 1 + 4 T + 11 T^{2} )^{2}$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$( 1 + 3 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )^{2}( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 16 T^{2} + 238 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 16 T^{2} + 238 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 34 T^{2} + 523 T^{4} - 4114 T^{6} + 14641 T^{8} )^{4}$$)($$( 1 + 5 T + 11 T^{2} )^{2}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$( 1 + 5 T + 11 T^{2} )^{2}$$)($$( 1 - 4 T + 11 T^{2} )( 1 + 4 T + 11 T^{2} )$$)($$( 1 + 3 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )$$)($$( 1 - 11 T^{2} )^{4}$$)($$( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8}$$)($$( 1 + 3 T^{2} + 121 T^{4} )^{2}$$)($$( 1 - 34 T^{2} + 523 T^{4} - 4114 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 16 T^{2} + 238 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 34 T^{2} + 523 T^{4} - 4114 T^{6} + 14641 T^{8} )^{2}$$)($$( 1 - 29 T^{2} + 448 T^{4} - 3509 T^{6} + 14641 T^{8} )^{4}$$)($$1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4}$$)($$1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4}$$)($$1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4}$$)($$1 + 4 T - 14 T^{2} - 38 T^{3} + 254 T^{4} + 214 T^{5} - 2933 T^{6} + 2354 T^{7} + 30734 T^{8} - 50578 T^{9} - 204974 T^{10} + 644204 T^{11} + 1771561 T^{12}$$)($$1 + 4 T - 14 T^{2} - 38 T^{3} + 254 T^{4} + 214 T^{5} - 2933 T^{6} + 2354 T^{7} + 30734 T^{8} - 50578 T^{9} - 204974 T^{10} + 644204 T^{11} + 1771561 T^{12}$$)($$( 1 - 3 T - T^{2} + 36 T^{3} - 120 T^{4} + 396 T^{5} - 121 T^{6} - 3993 T^{7} + 14641 T^{8} )^{2}$$)($$( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{4}$$)($$( 1 - 3 T + 11 T^{2} )^{8}$$)($$( 1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4} )^{4}$$)($$( 1 - 11 T + 51 T^{2} - 121 T^{3} + 121 T^{4} )( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} )$$)($$1 + 5 T + 29 T^{2} + 105 T^{3} + 476 T^{4} + 1155 T^{5} + 3509 T^{6} + 6655 T^{7} + 14641 T^{8}$$)($$1 - 6 T - 6 T^{2} + 66 T^{3} + 297 T^{4} - 1192 T^{5} - 4507 T^{6} + 12397 T^{7} + 64843 T^{8} - 132078 T^{9} - 495606 T^{10} + 229271 T^{11} + 4174387 T^{12} + 4888268 T^{13} - 13433795 T^{14} - 13004805 T^{15} - 811358789 T^{16} + 1487197514 T^{17} + 10213924046 T^{18} - 2099994621 T^{19} - 148075258559 T^{20} - 23099940831 T^{21} + 1235884809566 T^{22} + 1979459891134 T^{23} - 11879104029749 T^{24} - 2094436850055 T^{25} - 23798787303995 T^{26} + 95258514409828 T^{27} + 894816926180947 T^{28} + 540609025063261 T^{29} - 12854743256803206 T^{30} - 37683394830959658 T^{31} + 203505111231719803 T^{32} + 427978062448312607 T^{33} - 1711532499959667187 T^{34} - 4979279817943455992 T^{35} + 13647069769480931817 T^{36} + 33359503880953388886 T^{37} - 33359503880953388886 T^{38} -$$$$36\!\cdots\!46$$$$T^{39} +$$$$67\!\cdots\!01$$$$T^{40}$$)($$1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8}$$)($$( 1 + 11 T^{2} + 121 T^{4} )^{4}$$)($$( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2}$$)($$( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{2}$$)($$( 1 + 4 T - 14 T^{2} - 38 T^{3} + 254 T^{4} + 214 T^{5} - 2933 T^{6} + 2354 T^{7} + 30734 T^{8} - 50578 T^{9} - 204974 T^{10} + 644204 T^{11} + 1771561 T^{12} )^{2}$$)($$1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8}$$)($$1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8}$$)($$( 1 - 11 T^{2} + 121 T^{4} )^{4}$$)($$( 1 - 31 T^{2} - 12 T^{3} + 511 T^{4} + 252 T^{5} - 6412 T^{6} - 1392 T^{7} + 71182 T^{8} - 15312 T^{9} - 775852 T^{10} + 335412 T^{11} + 7481551 T^{12} - 1932612 T^{13} - 54918391 T^{14} + 214358881 T^{16} )^{2}$$)($$( 1 + 11 T^{2} + 121 T^{4} )^{4}$$)($$( 1 + 11 T^{2} + 121 T^{4} )^{4}$$)($$( 1 + 8 T^{2} - 57 T^{4} + 968 T^{6} + 14641 T^{8} )^{2}$$)
$13$ ($$1 + T + 13 T^{2}$$)($$1 - 3 T + 13 T^{2}$$)($$1 + 4 T + 13 T^{2}$$)($$1 - T + 13 T^{2}$$)($$1 - 6 T + 13 T^{2}$$)($$1 + 4 T + 13 T^{2}$$)($$1 + 6 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - 4 T + 13 T^{2}$$)($$1 - T + 13 T^{2}$$)($$( 1 + 20 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 13 T^{2} )^{4}$$)($$( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} )^{2}$$)($$( 1 + 20 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 13 T^{2} )^{8}$$)($$( 1 + 2 T + 13 T^{2} )^{8}$$)($$( 1 - 2 T + 13 T^{2} )^{8}$$)($$( 1 - 8 T^{2} + 169 T^{4} )^{8}$$)($$1 - 17 T^{2} + 169 T^{4}$$)($$( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} )$$)($$1 - 25 T^{2} + 169 T^{4}$$)($$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$$)($$( 1 - 13 T^{2} )^{2}$$)($$( 1 - 20 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 13 T^{2} )^{4}$$)($$( 1 - 13 T^{2} )^{4}$$)($$( 1 - 13 T^{2} )^{4}$$)($$( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} )( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} )$$)($$( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} )( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} )$$)($$( 1 - 20 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 8 T^{2} + 169 T^{4} )^{4}$$)($$( 1 - 22 T^{2} + 169 T^{4} )^{4}$$)($$( 1 + 8 T^{2} + 169 T^{4} )^{4}$$)($$( 1 - 29 T^{2} + 442 T^{4} - 4901 T^{6} + 28561 T^{8} )^{4}$$)($$( 1 - 6 T + 13 T^{2} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 + 2 T + 13 T^{2} )^{2}$$)($$( 1 - 8 T + 52 T^{2} - 205 T^{3} + 676 T^{4} - 1352 T^{5} + 2197 T^{6} )^{2}$$)($$( 1 + 8 T + 52 T^{2} + 205 T^{3} + 676 T^{4} + 1352 T^{5} + 2197 T^{6} )^{2}$$)($$( 1 + 8 T^{2} + 126 T^{4} + 1352 T^{6} + 28561 T^{8} )^{2}$$)($$1 - 23 T^{4} - 28032 T^{8} - 656903 T^{12} + 815730721 T^{16}$$)($$( 1 + 146 T^{4} + 28561 T^{8} )^{2}$$)($$1 + 357 T^{4} + 68228 T^{8} + 10196277 T^{12} + 815730721 T^{16}$$)($$1 + 11 T + 33 T^{2} - 95 T^{3} - 844 T^{4} - 1235 T^{5} + 5577 T^{6} + 24167 T^{7} + 28561 T^{8}$$)($$1 - 7 T + 21 T^{2} - 101 T^{3} + 524 T^{4} - 1313 T^{5} + 3549 T^{6} - 15379 T^{7} + 28561 T^{8}$$)($$1 - 8 T - 18 T^{2} + 381 T^{3} - 735 T^{4} - 6786 T^{5} + 33336 T^{6} + 41480 T^{7} - 677683 T^{8} + 792682 T^{9} + 9581143 T^{10} - 32169266 T^{11} - 87259564 T^{12} + 659767284 T^{13} + 37347206 T^{14} - 9706347740 T^{15} + 17977820273 T^{16} + 105962349836 T^{17} - 466788879648 T^{18} - 559631533151 T^{19} + 7451269357871 T^{20} - 7275209930963 T^{21} - 78887320660512 T^{22} + 232799282589692 T^{23} + 513464524817153 T^{24} - 3603898971427820 T^{25} + 180267830045654 T^{26} + 41399418636117828 T^{27} - 71180307055865644 T^{28} - 341138961126870218 T^{29} + 1320841924169603407 T^{30} + 1420613285466037234 T^{31} - 15788716220058291523 T^{32} + 12563259421446654440 T^{33} +$$$$13\!\cdots\!04$$$$T^{34} -$$$$34\!\cdots\!02$$$$T^{35} -$$$$48\!\cdots\!35$$$$T^{36} +$$$$32\!\cdots\!73$$$$T^{37} -$$$$20\!\cdots\!22$$$$T^{38} -$$$$11\!\cdots\!16$$$$T^{39} +$$$$19\!\cdots\!01$$$$T^{40}$$)($$( 1 - 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 13 T^{2} )^{8}$$)($$( 1 - 22 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 22 T^{2} + 169 T^{4} )^{2}$$)($$( 1 - 4 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2}$$)($$( 1 - 40 T^{2} + 776 T^{4} - 11041 T^{6} + 131144 T^{8} - 1142440 T^{10} + 4826809 T^{12} )^{2}$$)($$( 1 + 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 14 T^{2} + 169 T^{4} )^{2}$$)($$( 1 + 146 T^{4} + 28561 T^{8} )^{2}$$)($$1 - 384 T^{4} + 95932 T^{8} - 12871296 T^{12} + 2070861510 T^{16} - 367617085056 T^{20} + 78254679526972 T^{24} - 8946464687032704 T^{28} + 665416609183179841 T^{32}$$)($$( 1 + 169 T^{4} )^{4}$$)($$( 1 + 169 T^{4} )^{4}$$)($$( 1 - 4 T + 8 T^{2} - 52 T^{3} + 169 T^{4} )^{4}$$)
$17$ ($$1 - 5 T + 17 T^{2}$$)($$1 - T + 17 T^{2}$$)($$1 + 17 T^{2}$$)($$1 - 3 T + 17 T^{2}$$)($$1 + 4 T + 17 T^{2}$$)($$1 + 4 T + 17 T^{2}$$)($$1 - 4 T + 17 T^{2}$$)($$1 - 4 T + 17 T^{2}$$)($$1 + 17 T^{2}$$)($$1 + 5 T + 17 T^{2}$$)($$( 1 + 10 T^{2} + 289 T^{4} )^{2}$$)($$( 1 + 6 T + 31 T^{2} + 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 - 6 T + 31 T^{2} - 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 17 T^{2} )^{4}$$)($$( 1 - 6 T + 31 T^{2} - 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 6 T + 31 T^{2} + 102 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 10 T^{2} + 289 T^{4} )^{2}$$)($$( 1 + 17 T^{2} )^{8}$$)($$( 1 + 6 T + 26 T^{2} + 102 T^{3} + 289 T^{4} )^{4}$$)($$( 1 - 6 T + 26 T^{2} - 102 T^{3} + 289 T^{4} )^{4}$$)($$( 1 + 17 T^{2} + 289 T^{4} )^{8}$$)($$1 - 33 T^{2} + 289 T^{4}$$)($$( 1 - 17 T^{2} )^{2}$$)($$1 - 25 T^{2} + 289 T^{4}$$)($$1 - 18 T^{2} + 289 T^{4}$$)($$( 1 - 17 T^{2} )^{2}$$)($$( 1 - 10 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 17 T^{2} )^{4}$$)($$( 1 - 17 T^{2} )^{4}$$)($$( 1 - 17 T^{2} )^{4}$$)($$1 - 26 T^{2} + 315 T^{4} - 7514 T^{6} + 83521 T^{8}$$)($$1 - 26 T^{2} + 315 T^{4} - 7514 T^{6} + 83521 T^{8}$$)($$( 1 - 10 T^{2} + 289 T^{4} )^{2}$$)($$( 1 - 17 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - 16 T^{2} + 30 T^{4} - 4624 T^{6} + 83521 T^{8} )^{2}$$)($$( 1 - 17 T^{2} + 289 T^{4} )^{4}$$)($$( 1 - 39 T^{2} + 852 T^{4} - 11271 T^{6} + 83521 T^{8} )^{4}$$)($$1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4}$$)($$1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4}$$)($$1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4}$$)($$1 + 10 T + 40 T^{2} + 82 T^{3} - 10 T^{4} - 1970 T^{5} - 13193 T^{6} - 33490 T^{7} - 2890 T^{8} + 402866 T^{9} + 3340840 T^{10} + 14198570 T^{11} + 24137569 T^{12}$$)($$1 - 10 T + 40 T^{2} - 82 T^{3} - 10 T^{4} + 1970 T^{5} - 13193 T^{6} + 33490 T^{7} - 2890 T^{8} - 402866 T^{9} + 3340840 T^{10} - 14198570 T^{11} + 24137569 T^{12}$$)($$1 - 45 T^{2} + 1069 T^{4} - 17010 T^{6} + 245190 T^{8} - 4915890 T^{10} + 89283949 T^{12} - 1086190605 T^{14} + 6975757441 T^{16}$$)($$1 - 263 T^{4} - 14352 T^{8} - 21966023 T^{12} + 6975757441 T^{16}$$)($$( 1 + 289 T^{4} )^{4}$$)($$1 + 69 T^{4} - 53260 T^{8} + 5762949 T^{12} + 6975757441 T^{16}$$)($$1 + 5 T - 7 T^{2} - 85 T^{3} - 196 T^{4} - 1445 T^{5} - 2023 T^{6} + 24565 T^{7} + 83521 T^{8}$$)($$1 + 11 T + 29 T^{2} - 123 T^{3} - 1036 T^{4} - 2091 T^{5} + 8381 T^{6} + 54043 T^{7} + 83521 T^{8}$$)($$1 - 18 T + 87 T^{2} + 292 T^{3} - 3177 T^{4} - 6376 T^{5} + 113516 T^{6} - 50934 T^{7} - 2036615 T^{8} - 952936 T^{9} + 53933174 T^{10} - 2399520 T^{11} - 1058409791 T^{12} - 829634599 T^{13} + 27439154442 T^{14} - 7766264289 T^{15} - 466797760000 T^{16} + 25187327645 T^{17} + 8978375168008 T^{18} - 4125424295891 T^{19} - 128676929228733 T^{20} - 70132213030147 T^{21} + 2594750423554312 T^{22} + 123745340719885 T^{23} - 38987415712960000 T^{24} - 11026984714586673 T^{25} + 662314483645431498 T^{26} - 340431160428547127 T^{27} - 7383209975195504831 T^{28} - 284553981412081440 T^{29} +$$$$10\!\cdots\!26$$$$T^{30} - 32658923779810560488 T^{31} -$$$$11\!\cdots\!15$$$$T^{32} -$$$$50\!\cdots\!58$$$$T^{33} +$$$$19\!\cdots\!64$$$$T^{34} -$$$$18\!\cdots\!68$$$$T^{35} -$$$$15\!\cdots\!37$$$$T^{36} +$$$$24\!\cdots\!84$$$$T^{37} +$$$$12\!\cdots\!83$$$$T^{38} -$$$$43\!\cdots\!54$$$$T^{39} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$( 1 - 3 T + 20 T^{2} - 51 T^{3} + 289 T^{4} )^{2}$$)($$( 1 + 17 T^{2} + 289 T^{4} )^{4}$$)($$1 - 2 T^{2} - 285 T^{4} - 578 T^{6} + 83521 T^{8}$$)($$1 + 25 T^{2} + 336 T^{4} + 7225 T^{6} + 83521 T^{8}$$)($$( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} )$$)($$1 + 20 T^{2} - 60 T^{4} - 5490 T^{6} - 68240 T^{8} - 268480 T^{10} + 7663363 T^{12} - 77590720 T^{14} - 5699473040 T^{16} - 132515253810 T^{18} - 418545446460 T^{20} + 40319878008980 T^{22} + 582622237229761 T^{24}$$)($$1 - 31 T^{2} + 672 T^{4} - 8959 T^{6} + 83521 T^{8}$$)($$1 - 31 T^{2} + 672 T^{4} - 8959 T^{6} + 83521 T^{8}$$)($$( 1 - 8 T + 32 T^{2} + 16 T^{3} - 353 T^{4} + 272 T^{5} + 9248 T^{6} - 39304 T^{7} + 83521 T^{8} )( 1 + 8 T + 32 T^{2} - 16 T^{3} - 353 T^{4} - 272 T^{5} + 9248 T^{6} + 39304 T^{7} + 83521 T^{8} )$$)($$1 + 18 T + 162 T^{2} + 972 T^{3} + 3843 T^{4} + 5328 T^{5} - 54270 T^{6} - 521298 T^{7} - 2465507 T^{8} - 5624676 T^{9} + 14219712 T^{10} + 209564892 T^{11} + 1084680234 T^{12} + 2931912576 T^{13} - 1788585948 T^{14} - 64173985380 T^{15} - 361145427270 T^{16} - 1090957751460 T^{17} - 516901338972 T^{18} + 14404486485888 T^{19} + 90593577823914 T^{20} + 297552178860444 T^{21} + 343229279560128 T^{22} - 2308022085894948 T^{23} - 17198778801087587 T^{24} - 61819622842133106 T^{25} - 109407988977367230 T^{26} + 182600663527068624 T^{27} + 2239017257673971523 T^{28} + 9627249847984570764 T^{29} + 27277207902622950498 T^{30} + 51523614927176684274 T^{31} + 48661191875666868481 T^{32}$$)($$( 1 - 289 T^{4} + 83521 T^{8} )^{2}$$)($$( 1 - 289 T^{4} + 83521 T^{8} )^{2}$$)($$( 1 - 4 T + 8 T^{2} + 104 T^{3} - 497 T^{4} + 1768 T^{5} + 2312 T^{6} - 19652 T^{7} + 83521 T^{8} )^{2}$$)
$19$ ($$1 + 8 T + 19 T^{2}$$)($$1 - 6 T + 19 T^{2}$$)($$1 - 2 T + 19 T^{2}$$)($$1 - 2 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 - 4 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 - 4 T + 19 T^{2}$$)($$1 - 2 T + 19 T^{2}$$)($$1 + 8 T + 19 T^{2}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 6 T + 19 T^{2} )^{4}$$)($$( 1 - 6 T + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 6 T + 19 T^{2} )^{4}$$)($$( 1 - 6 T + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{8}$$)($$( 1 + 48 T^{2} + 1230 T^{4} + 17328 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 48 T^{2} + 1230 T^{4} + 17328 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 18 T^{2} + 795 T^{4} + 6498 T^{6} + 130321 T^{8} )^{4}$$)($$( 1 + 6 T + 19 T^{2} )^{2}$$)($$( 1 + 2 T + 19 T^{2} )^{2}$$)($$( 1 + 2 T + 19 T^{2} )^{2}$$)($$( 1 - 6 T + 19 T^{2} )^{2}$$)($$( 1 + 19 T^{2} )^{2}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 - 6 T + 19 T^{2} )^{4}$$)($$( 1 + 6 T + 19 T^{2} )^{4}$$)($$( 1 + 19 T^{2} )^{4}$$)($$( 1 + 18 T^{2} + 795 T^{4} + 6498 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 48 T^{2} + 1230 T^{4} + 17328 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 18 T^{2} + 795 T^{4} + 6498 T^{6} + 130321 T^{8} )^{2}$$)($$( 1 + 38 T^{2} + 930 T^{4} + 13718 T^{6} + 130321 T^{8} )^{4}$$)($$1 - 19 T^{2} + 361 T^{4}$$)($$( 1 + T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$$)($$( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$$)($$1 - 2 T - 30 T^{2} + 126 T^{3} + 316 T^{4} - 1436 T^{5} - 281 T^{6} - 27284 T^{7} + 114076 T^{8} + 864234 T^{9} - 3909630 T^{10} - 4952198 T^{11} + 47045881 T^{12}$$)($$1 - 2 T - 30 T^{2} + 126 T^{3} + 316 T^{4} - 1436 T^{5} - 281 T^{6} - 27284 T^{7} + 114076 T^{8} + 864234 T^{9} - 3909630 T^{10} - 4952198 T^{11} + 47045881 T^{12}$$)($$( 1 - T - 23 T^{2} + 14 T^{3} + 196 T^{4} + 266 T^{5} - 8303 T^{6} - 6859 T^{7} + 130321 T^{8} )^{2}$$)($$( 1 + 19 T^{2} )^{8}$$)($$( 1 - 10 T^{2} + 361 T^{4} )^{4}$$)($$( 1 + 18 T^{2} + 762 T^{4} + 6498 T^{6} + 130321 T^{8} )^{2}$$)($$1 - 3 T - 15 T^{2} + 17 T^{3} + 324 T^{4} + 323 T^{5} - 5415 T^{6} - 20577 T^{7} + 130321 T^{8}$$)($$1 - 9 T + 17 T^{2} + 3 T^{3} + 100 T^{4} + 57 T^{5} + 6137 T^{6} - 61731 T^{7} + 130321 T^{8}$$)($$1 + 4 T + 20 T^{2} + 35 T^{3} + 223 T^{4} + 2628 T^{5} + 9310 T^{6} + 66550 T^{7} + 152505 T^{8} + 909410 T^{9} + 752403 T^{10} + 7414357 T^{11} + 79093510 T^{12} + 292840210 T^{13} + 2132685689 T^{14} + 5127717145 T^{15} + 32698880594 T^{16} + 88097990160 T^{17} + 444217466150 T^{18} + 4347589709783 T^{19} + 20704442597741 T^{20} + 82604204485877 T^{21} + 160362505280150 T^{22} + 604264114507440 T^{23} + 4261350817890674 T^{24} + 12696735295017355 T^{25} + 100334077135097009 T^{26} + 261761587761825190 T^{27} + 1343289613218963910 T^{28} + 2392521790841613103 T^{29} + 4613032645568245803 T^{30} +$$$$10\!\cdots\!90$$$$T^{31} +$$$$33\!\cdots\!05$$$$T^{32} +$$$$27\!\cdots\!50$$$$T^{33} +$$$$74\!\cdots\!10$$$$T^{34} +$$$$39\!\cdots\!72$$$$T^{35} +$$$$64\!\cdots\!63$$$$T^{36} +$$$$19\!\cdots\!65$$$$T^{37} +$$$$20\!\cdots\!20$$$$T^{38} +$$$$79\!\cdots\!16$$$$T^{39} +$$$$37\!\cdots\!01$$$$T^{40}$$)($$( 1 - 37 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} )$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{4}$$)($$( 1 - 7 T + 19 T^{2} )^{2}( 1 - T + 19 T^{2} )^{2}$$)($$( 1 - 7 T + 19 T^{2} )^{2}( 1 + 8 T + 19 T^{2} )^{2}$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{2}$$)($$( 1 + 2 T - 30 T^{2} - 126 T^{3} + 316 T^{4} + 1436 T^{5} - 281 T^{6} + 27284 T^{7} + 114076 T^{8} - 864234 T^{9} - 3909630 T^{10} + 4952198 T^{11} + 47045881 T^{12} )^{2}$$)($$( 1 - 37 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} )$$)($$( 1 - 37 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} )$$)($$( 1 - 37 T^{2} + 361 T^{4} )^{2}( 1 + 11 T^{2} + 361 T^{4} )^{2}$$)($$1 - 78 T^{2} + 2559 T^{4} - 64506 T^{6} + 1886917 T^{8} - 45195540 T^{10} + 809434458 T^{12} - 17019815592 T^{14} + 374666887482 T^{16} - 6144153428712 T^{18} + 105486308001018 T^{20} - 2126263996570740 T^{22} + 32046573822634597 T^{24} - 395490560025711306 T^{26} + 5663872877890305999 T^{28} - 62322521491064961438 T^{30} +$$$$28\!\cdots\!81$$$$T^{32}$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{4}$$)($$( 1 - 19 T^{2} + 361 T^{4} )^{4}$$)($$( 1 - 24 T^{2} + 215 T^{4} - 8664 T^{6} + 130321 T^{8} )^{2}$$)
$23$ ($$1 + 2 T + 23 T^{2}$$)($$1 + 6 T + 23 T^{2}$$)($$1 + 3 T + 23 T^{2}$$)($$1 - 6 T + 23 T^{2}$$)($$1 + 3 T + 23 T^{2}$$)($$1 + 8 T + 23 T^{2}$$)($$1 - 3 T + 23 T^{2}$$)($$1 - 8 T + 23 T^{2}$$)($$1 - 3 T + 23 T^{2}$$)($$1 - 2 T + 23 T^{2}$$)($$( 1 + T + 23 T^{2} )^{4}$$)($$( 1 + 4 T + 38 T^{2} + 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 4 T + 38 T^{2} + 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 + 18 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 4 T + 38 T^{2} - 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - 4 T + 38 T^{2} - 92 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - T + 23 T^{2} )^{4}$$)($$( 1 - 18 T^{2} - 205 T^{4} - 9522 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 18 T^{2} + 1122 T^{4} + 9522 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 18 T^{2} + 1122 T^{4} + 9522 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 + 72 T^{2} + 2322 T^{4} + 38088 T^{6} + 279841 T^{8} )^{4}$$)($$1 - 10 T^{2} + 529 T^{4}$$)($$1 - 37 T^{2} + 529 T^{4}$$)($$1 - 10 T^{2} + 529 T^{4}$$)($$1 - 37 T^{2} + 529 T^{4}$$)($$( 1 - 8 T + 23 T^{2} )( 1 + 8 T + 23 T^{2} )$$)($$( 1 - 45 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} )$$)($$( 1 - 44 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} )$$)($$1 - 60 T^{2} + 1766 T^{4} - 31740 T^{6} + 279841 T^{8}$$)($$1 - 60 T^{2} + 1766 T^{4} - 31740 T^{6} + 279841 T^{8}$$)($$( 1 - 45 T^{2} + 529 T^{4} )^{2}$$)($$( 1 - 72 T^{2} + 2322 T^{4} - 38088 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 18 T^{2} + 1122 T^{4} - 9522 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 72 T^{2} + 2322 T^{4} - 38088 T^{6} + 279841 T^{8} )^{2}$$)($$( 1 - 52 T^{2} + 1462 T^{4} - 27508 T^{6} + 279841 T^{8} )^{4}$$)($$1 + 9 T + 58 T^{2} + 207 T^{3} + 529 T^{4}$$)($$1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4}$$)($$1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4}$$)($$1 - 3 T - 24 T^{2} + 15 T^{3} + 159 T^{4} + 1086 T^{5} - 2225 T^{6} + 24978 T^{7} + 84111 T^{8} + 182505 T^{9} - 6716184 T^{10} - 19309029 T^{11} + 148035889 T^{12}$$)($$1 + 3 T - 24 T^{2} - 15 T^{3} + 159 T^{4} - 1086 T^{5} - 2225 T^{6} - 24978 T^{7} + 84111 T^{8} - 182505 T^{9} - 6716184 T^{10} + 19309029 T^{11} + 148035889 T^{12}$$)($$( 1 - 30 T^{2} + 529 T^{4} )^{2}( 1 + 30 T^{2} + 371 T^{4} + 15870 T^{6} + 279841 T^{8} )$$)($$( 1 + 529 T^{4} )^{4}$$)($$( 1 - 697 T^{4} + 279841 T^{8} )^{2}$$)($$( 1 + 2 T + 2 T^{2} + 6 T^{3} - 382 T^{4} + 138 T^{5} + 1058 T^{6} + 24334 T^{7} + 279841 T^{8} )^{2}$$)($$1 - 3 T - 19 T^{2} + 21 T^{3} + 484 T^{4} + 483 T^{5} - 10051 T^{6} - 36501 T^{7} + 279841 T^{8}$$)($$1 - 11 T + 73 T^{2} - 475 T^{3} + 2796 T^{4} - 10925 T^{5} + 38617 T^{6} - 133837 T^{7} + 279841 T^{8}$$)($$1 + T + 25 T^{2} + 90 T^{3} + 637 T^{4} + 10308 T^{5} + 28440 T^{6} + 314446 T^{7} + 1032193 T^{8} + 7591236 T^{9} + 52155657 T^{10} + 237949869 T^{11} + 1700711300 T^{12} + 5991675866 T^{13} + 41385400868 T^{14} + 177236735506 T^{15} + 1059876296338 T^{16} + 5539003613229 T^{17} + 23669687800595 T^{18} + 135206249819787 T^{19} + 481751731598125 T^{20} + 3109743745855101 T^{21} + 12521264846514755 T^{22} + 67393056962157243 T^{23} + 296596842643522258 T^{24} + 1140756421916894558 T^{25} + 6126524609115751652 T^{26} + 20400610458732562102 T^{27} +$$$$13\!\cdots\!00$$$$T^{28} +$$$$42\!\cdots\!47$$$$T^{29} +$$$$21\!\cdots\!93$$$$T^{30} +$$$$72\!\cdots\!72$$$$T^{31} +$$$$22\!\cdots\!53$$$$T^{32} +$$$$15\!\cdots\!18$$$$T^{33} +$$$$32\!\cdots\!60$$$$T^{34} +$$$$27\!\cdots\!56$$$$T^{35} +$$$$39\!\cdots\!57$$$$T^{36} +$$$$12\!\cdots\!70$$$$T^{37} +$$$$81\!\cdots\!25$$$$T^{38} +$$$$74\!\cdots\!87$$$$T^{39} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$1 + 45 T^{2} + 1496 T^{4} + 23805 T^{6} + 279841 T^{8}$$)($$( 1 - 44 T^{2} + 529 T^{4} )^{2}( 1 + 44 T^{2} + 1407 T^{4} + 23276 T^{6} + 279841 T^{8} )$$)($$1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8}$$)($$1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8}$$)($$1 - 35 T^{2} + 696 T^{4} - 18515 T^{6} + 279841 T^{8}$$)($$1 + 57 T^{2} + 984 T^{4} + 5791 T^{6} + 417591 T^{8} + 19010952 T^{10} + 474564993 T^{12} + 10056793608 T^{14} + 116859083031 T^{16} + 857275833199 T^{18} + 77058009516504 T^{20} + 2361311139177993 T^{22} + 21914624432020321 T^{24}$$)($$( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} )^{2}$$)($$( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} )^{2}$$)($$1 + 697 T^{4} + 205968 T^{8} + 195049177 T^{12} + 78310985281 T^{16}$$)($$1 - 16 T + 128 T^{2} - 232 T^{3} - 4650 T^{4} + 52804 T^{5} - 222752 T^{6} - 287076 T^{7} + 10138289 T^{8} - 62811488 T^{9} + 132218856 T^{10} + 911730824 T^{11} - 9742362906 T^{12} + 41221272300 T^{13} - 26389121736 T^{14} - 830176620924 T^{15} + 5986766744932 T^{16} - 19094062281252 T^{17} - 13959845398344 T^{18} + 501539220074100 T^{19} - 2726312577977946 T^{20} + 5868212306936632 T^{21} + 19573135890522984 T^{22} - 213862152706335136 T^{23} + 793939400653524209 T^{24} - 517067701442152188 T^{25} - 9227838225862742048 T^{26} + 50312166456887001308 T^{27} -$$$$10\!\cdots\!50$$$$T^{28} -$$$$11\!\cdots\!56$$$$T^{29} +$$$$14\!\cdots\!52$$$$T^{30} -$$$$42\!\cdots\!12$$$$T^{31} +$$$$61\!\cdots\!61$$$$T^{32}$$)($$( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} )^{2}( 1 + 2 T + 2 T^{2} - 88 T^{3} - 617 T^{4} - 2024 T^{5} + 1058 T^{6} + 24334 T^{7} + 279841 T^{8} )$$)($$( 1 + 2 T + 2 T^{2} + 46 T^{3} + 529 T^{4} )^{2}( 1 - 2 T + 2 T^{2} + 88 T^{3} - 617 T^{4} + 2024 T^{5} + 1058 T^{6} - 24334 T^{7} + 279841 T^{8} )$$)($$1 - 463 T^{4} - 65472 T^{8} - 129566383 T^{12} + 78310985281 T^{16}$$)
$29$ ($$1 + T + 29 T^{2}$$)($$1 + 9 T + 29 T^{2}$$)($$1 - 9 T + 29 T^{2}$$)($$1 + 9 T + 29 T^{2}$$)($$1 + 3 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 + 3 T + 29 T^{2}$$)($$1 - 2 T + 29 T^{2}$$)($$1 - 9 T + 29 T^{2}$$)($$1 + T + 29 T^{2}$$)($$( 1 - 5 T + 29 T^{2} )^{4}$$)($$( 1 + 2 T + 11 T^{2} + 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 2 T + 11 T^{2} + 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 - 2 T + 29 T^{2} )^{4}$$)($$( 1 + 2 T + 11 T^{2} + 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 2 T + 11 T^{2} + 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 - 5 T + 29 T^{2} )^{4}$$)($$( 1 + 2 T - 25 T^{2} + 58 T^{3} + 841 T^{4} )^{4}$$)($$( 1 - 2 T + 29 T^{2} )^{8}$$)($$( 1 - 2 T + 29 T^{2} )^{8}$$)($$( 1 + 8 T + 56 T^{2} + 232 T^{3} + 841 T^{4} )^{8}$$)($$( 1 - 9 T + 29 T^{2} )^{2}$$)($$( 1 + 9 T + 29 T^{2} )^{2}$$)($$( 1 - 9 T + 29 T^{2} )^{2}$$)($$( 1 - 3 T + 29 T^{2} )^{2}$$)($$( 1 + 2 T + 29 T^{2} )^{2}$$)($$( 1 + 5 T + 29 T^{2} )^{4}$$)($$( 1 - 2 T - 25 T^{2} - 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{4}$$)($$( 1 - 2 T - 25 T^{2} - 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 - 2 T + 11 T^{2} - 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 - 2 T + 11 T^{2} - 58 T^{3} + 841 T^{4} )^{2}$$)($$( 1 + 5 T + 29 T^{2} )^{4}$$)($$( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} )^{4}$$)($$( 1 + 2 T + 29 T^{2} )^{8}$$)($$( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} )^{4}$$)($$( 1 - 3 T + 56 T^{2} - 87 T^{3} + 841 T^{4} )^{8}$$)($$( 1 - 3 T + 29 T^{2} )^{2}$$)($$( 1 - 3 T + 29 T^{2} )^{2}$$)($$( 1 + 6 T + 29 T^{2} )^{2}$$)($$( 1 + 42 T^{2} + 81 T^{3} + 1218 T^{4} + 24389 T^{6} )^{2}$$)($$( 1 + 42 T^{2} + 81 T^{3} + 1218 T^{4} + 24389 T^{6} )^{2}$$)($$( 1 - T + 44 T^{2} - 29 T^{3} + 841 T^{4} )^{4}$$)($$( 1 - 23 T^{2} - 312 T^{4} - 19343 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 49 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 83 T^{2} + 3148 T^{4} - 69803 T^{6} + 707281 T^{8} )^{2}$$)($$1 - 11 T + 47 T^{2} + 67 T^{3} - 1600 T^{4} + 1943 T^{5} + 39527 T^{6} - 268279 T^{7} + 707281 T^{8}$$)($$1 + T - 13 T^{2} - 137 T^{3} + 440 T^{4} - 3973 T^{5} - 10933 T^{6} + 24389 T^{7} + 707281 T^{8}$$)($$1 - 5 T - 102 T^{2} + 529 T^{3} + 6003 T^{4} - 30173 T^{5} - 280977 T^{6} + 1238812 T^{7} + 11796476 T^{8} - 41449474 T^{9} - 456197008 T^{10} + 1265569166 T^{11} + 15315474765 T^{12} - 34448267495 T^{13} - 448474229572 T^{14} + 749368263262 T^{15} + 12346645496688 T^{16} - 11538624238699 T^{17} - 346337095881602 T^{18} + 90193203345245 T^{19} + 10027964151957997 T^{20} + 2615602897012105 T^{21} - 291269497636427282 T^{22} - 281415506557629911 T^{23} + 8732547773542985328 T^{24} + 15370404103638108038 T^{25} -$$$$26\!\cdots\!12$$$$T^{26} -$$$$59\!\cdots\!55$$$$T^{27} +$$$$76\!\cdots\!65$$$$T^{28} +$$$$18\!\cdots\!54$$$$T^{29} -$$$$19\!\cdots\!08$$$$T^{30} -$$$$50\!\cdots\!46$$$$T^{31} +$$$$41\!\cdots\!16$$$$T^{32} +$$$$12\!\cdots\!68$$$$T^{33} -$$$$83\!\cdots\!37$$$$T^{34} -$$$$26\!\cdots\!77$$$$T^{35} +$$$$15\!\cdots\!63$$$$T^{36} +$$$$38\!\cdots\!61$$$$T^{37} -$$$$21\!\cdots\!22$$$$T^{38} -$$$$30\!\cdots\!45$$$$T^{39} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$( 1 - 4 T + 29 T^{2} )^{4}$$)($$( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{4}$$)($$( 1 + 3 T + 29 T^{2} )^{4}$$)($$( 1 - 6 T + 29 T^{2} )^{4}$$)($$( 1 + 3 T + 29 T^{2} )^{4}$$)($$( 1 + 42 T^{2} - 81 T^{3} + 1218 T^{4} + 24389 T^{6} )^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{4}$$)($$( 1 + 4 T + 29 T^{2} )^{4}$$)($$( 1 - 49 T^{2} + 841 T^{4} )^{4}$$)($$( 1 - 70 T^{2} + 2433 T^{4} - 88862 T^{6} + 3077972 T^{8} - 74732942 T^{10} + 1720814673 T^{12} - 41637632470 T^{14} + 500246412961 T^{16} )^{2}$$)($$( 1 + 22 T^{2} - 357 T^{4} + 18502 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 + 22 T^{2} - 357 T^{4} + 18502 T^{6} + 707281 T^{8} )^{2}$$)($$( 1 - 49 T^{2} + 841 T^{4} )^{4}$$)
$31$ ($$1 + 2 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 8 T + 31 T^{2}$$)($$1 - 8 T + 31 T^{2}$$)($$1 - 2 T + 31 T^{2}$$)($$1 + 8 T + 31 T^{2}$$)($$1 - 2 T + 31 T^{2}$$)($$1 + 8 T + 31 T^{2}$$)($$1 - 8 T + 31 T^{2}$$)($$1 + 2 T + 31 T^{2}$$)($$( 1 + 8 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 6 T + 31 T^{2} )^{4}$$)($$( 1 - 6 T + 31 T^{2} )^{4}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 6 T + 31 T^{2} )^{4}$$)($$( 1 - 6 T + 31 T^{2} )^{4}$$)($$( 1 + 8 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 31 T^{2} )^{8}$$)($$( 1 + 68 T^{2} + 2806 T^{4} + 65348 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 68 T^{2} + 2806 T^{4} + 65348 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 104 T^{2} + 4594 T^{4} + 99944 T^{6} + 923521 T^{8} )^{4}$$)($$( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 - 8 T + 31 T^{2} )^{2}$$)($$( 1 - 8 T + 31 T^{2} )^{2}$$)($$( 1 - 2 T + 31 T^{2} )^{2}$$)($$( 1 + 31 T^{2} )^{2}$$)($$( 1 + 8 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 31 T^{2} )^{4}$$)($$( 1 + 6 T + 31 T^{2} )^{4}$$)($$( 1 - 6 T + 31 T^{2} )^{4}$$)($$( 1 + 8 T^{2} + 961 T^{4} )^{2}$$)($$( 1 + 104 T^{2} + 4594 T^{4} + 99944 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 68 T^{2} + 2806 T^{4} + 65348 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 104 T^{2} + 4594 T^{4} + 99944 T^{6} + 923521 T^{8} )^{2}$$)($$( 1 + 4 T^{2} + 1654 T^{4} + 3844 T^{6} + 923521 T^{8} )^{4}$$)($$1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4}$$)($$1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4}$$)($$( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$$)($$1 - 3 T - 42 T^{2} + 293 T^{3} + 351 T^{4} - 4770 T^{5} + 20031 T^{6} - 147870 T^{7} + 337311 T^{8} + 8728763 T^{9} - 38787882 T^{10} - 85887453 T^{11} + 887503681 T^{12}$$)($$1 - 3 T - 42 T^{2} + 293 T^{3} + 351 T^{4} - 4770 T^{5} + 20031 T^{6} - 147870 T^{7} + 337311 T^{8} + 8728763 T^{9} - 38787882 T^{10} - 85887453 T^{11} + 887503681 T^{12}$$)($$( 1 - T - 47 T^{2} + 14 T^{3} + 1312 T^{4} + 434 T^{5} - 45167 T^{6} - 29791 T^{7} + 923521 T^{8} )^{2}$$)($$( 1 - 31 T^{2} )^{8}$$)($$( 1 - 50 T^{2} + 961 T^{4} )^{4}$$)($$( 1 + 18 T^{2} + 1962 T^{4} + 17298 T^{6} + 923521 T^{8} )^{2}$$)($$1 - 7 T - 7 T^{2} + 241 T^{3} - 1220 T^{4} + 7471 T^{5} - 6727 T^{6} - 208537 T^{7} + 923521 T^{8}$$)($$1 - 9 T + 5 T^{2} + 39 T^{3} + 484 T^{4} + 1209 T^{5} + 4805 T^{6} - 268119 T^{7} + 923521 T^{8}$$)($$1 + 3 T - 53 T^{2} - 557 T^{3} + 212 T^{4} + 26015 T^{5} + 116713 T^{6} - 454963 T^{7} - 6712307 T^{8} - 10004073 T^{9} + 164086926 T^{10} + 1078249646 T^{11} - 961853791 T^{12} - 30705267149 T^{13} - 115862964916 T^{14} + 304335862235 T^{15} + 3973373354986 T^{16} + 9351047995529 T^{17} - 18612449312239 T^{18} - 292728597736806 T^{19} - 878429306935879 T^{20} - 9074586529840986 T^{21} - 17886563789061679 T^{22} + 278577070834804439 T^{23} + 3669493734170025706 T^{24} + 8712877354641012485 T^{25} -$$$$10\!\cdots\!96$$$$T^{26} -$$$$84\!\cdots\!39$$$$T^{27} -$$$$82\!\cdots\!31$$$$T^{28} +$$$$28\!\cdots\!66$$$$T^{29} +$$$$13\!\cdots\!26$$$$T^{30} -$$$$25\!\cdots\!63$$$$T^{31} -$$$$52\!\cdots\!27$$$$T^{32} -$$$$11\!\cdots\!33$$$$T^{33} +$$$$88\!\cdots\!73$$$$T^{34} +$$$$61\!\cdots\!65$$$$T^{35} +$$$$15\!\cdots\!72$$$$T^{36} -$$$$12\!\cdots\!27$$$$T^{37} -$$$$37\!\cdots\!73$$$$T^{38} +$$$$65\!\cdots\!13$$$$T^{39} +$$$$67\!\cdots\!01$$$$T^{40}$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 - 13 T^{2} + 961 T^{4} )$$)($$( 1 - 31 T^{2} + 961 T^{4} )^{4}$$)($$( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2}$$)($$( 1 - 11 T + 31 T^{2} )^{2}( 1 + 4 T + 31 T^{2} )^{2}$$)($$( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2}$$)($$( 1 - 3 T - 42 T^{2} + 293 T^{3} + 351 T^{4} - 4770 T^{5} + 20031 T^{6} - 147870 T^{7} + 337311 T^{8} + 8728763 T^{9} - 38787882 T^{10} - 85887453 T^{11} + 887503681 T^{12} )^{2}$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 - 13 T^{2} + 961 T^{4} )$$)($$( 1 - 46 T^{2} + 961 T^{4} )( 1 - 13 T^{2} + 961 T^{4} )$$)($$( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} )^{4}$$)($$( 1 + 6 T + 75 T^{2} + 378 T^{3} + 2289 T^{4} + 15168 T^{5} + 89982 T^{6} + 703668 T^{7} + 3775322 T^{8} + 21813708 T^{9} + 86472702 T^{10} + 451869888 T^{11} + 2113939569 T^{12} + 10821819078 T^{13} + 66562776075 T^{14} + 165075684666 T^{15} + 852891037441 T^{16} )^{2}$$)($$( 1 + 31 T^{2} + 961 T^{4} )^{4}$$)($$( 1 + 31 T^{2} + 961 T^{4} )^{4}$$)($$( 1 + 6 T^{2} - 925 T^{4} + 5766 T^{6} + 923521 T^{8} )^{2}$$)
$37$ ($$1 + 10 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 5 T + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$1 + 7 T + 37 T^{2}$$)($$1 - 8 T + 37 T^{2}$$)($$1 - 7 T + 37 T^{2}$$)($$1 + 8 T + 37 T^{2}$$)($$1 + 5 T + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$( 1 - 65 T^{2} + 1369 T^{4} )^{2}$$)($$1 - 52 T^{2} + 1686 T^{4} - 71188 T^{6} + 1874161 T^{8}$$)($$1 - 52 T^{2} + 1686 T^{4} - 71188 T^{6} + 1874161 T^{8}$$)($$( 1 - 38 T^{2} + 1369 T^{4} )^{2}$$)($$1 - 52 T^{2} + 1686 T^{4} - 71188 T^{6} + 1874161 T^{8}$$)($$1 - 52 T^{2} + 1686 T^{4} - 71188 T^{6} + 1874161 T^{8}$$)($$( 1 - 65 T^{2} + 1369 T^{4} )^{2}$$)($$( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2}$$)($$( 1 - 12 T + 37 T^{2} )^{4}( 1 + 12 T + 37 T^{2} )^{4}$$)($$( 1 - 12 T + 37 T^{2} )^{4}( 1 + 12 T + 37 T^{2} )^{4}$$)($$( 1 - 104 T^{2} + 5154 T^{4} - 142376 T^{6} + 1874161 T^{8} )^{4}$$)($$( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} )$$)($$1 - 49 T^{2} + 1369 T^{4}$$)($$1 + 26 T^{2} + 1369 T^{4}$$)($$1 - 25 T^{2} + 1369 T^{4}$$)($$( 1 + 6 T + 37 T^{2} )^{2}$$)($$( 1 - 3 T + 37 T^{2} )^{4}$$)($$( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 + 37 T^{2} )^{4}$$)($$( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 12 T + 98 T^{2} - 444 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 12 T + 98 T^{2} - 444 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 + 3 T + 37 T^{2} )^{4}$$)($$( 1 - 4 T + 60 T^{2} - 148 T^{3} + 1369 T^{4} )^{4}$$)($$( 1 + 2 T + 37 T^{2} )^{8}$$)($$( 1 + 4 T + 60 T^{2} + 148 T^{3} + 1369 T^{4} )^{4}$$)($$( 1 + 104 T^{2} + 5374 T^{4} + 142376 T^{6} + 1874161 T^{8} )^{4}$$)($$1 - 8 T + 27 T^{2} - 296 T^{3} + 1369 T^{4}$$)($$1 - 8 T + 27 T^{2} - 296 T^{3} + 1369 T^{4}$$)($$( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} )$$)($$1 + 6 T - 12 T^{2} - 302 T^{3} - 1242 T^{4} + 1062 T^{5} + 53799 T^{6} + 39294 T^{7} - 1700298 T^{8} - 15297206 T^{9} - 22489932 T^{10} + 416063742 T^{11} + 2565726409 T^{12}$$)($$1 - 6 T - 12 T^{2} + 302 T^{3} - 1242 T^{4} - 1062 T^{5} + 53799 T^{6} - 39294 T^{7} - 1700298 T^{8} + 15297206 T^{9} - 22489932 T^{10} - 416063742 T^{11} + 2565726409 T^{12}$$)($$1 - 17 T^{2} - 1367 T^{4} + 18394 T^{6} + 472534 T^{8} + 25181386 T^{10} - 2561978087 T^{12} - 43617348953 T^{14} + 3512479453921 T^{16}$$)($$( 1 + 1369 T^{4} )^{4}$$)($$( 1 - 529 T^{4} + 1874161 T^{8} )^{2}$$)($$( 1 - 2 T + 2 T^{2} - 34 T^{3} + 178 T^{4} - 1258 T^{5} + 2738 T^{6} - 101306 T^{7} + 1874161 T^{8} )^{2}$$)($$1 + 5 T + 23 T^{2} - 5 T^{3} - 416 T^{4} - 185 T^{5} + 31487 T^{6} + 253265 T^{7} + 1874161 T^{8}$$)($$1 - 7 T - 13 T^{2} + 295 T^{3} - 1304 T^{4} + 10915 T^{5} - 17797 T^{6} - 354571 T^{7} + 1874161 T^{8}$$)($$1 + 9 T - 48 T^{2} - 506 T^{3} + 5387 T^{4} + 39922 T^{5} - 338064 T^{6} - 2018738 T^{7} + 20769623 T^{8} + 93857840 T^{9} - 1102046765 T^{10} - 3730523994 T^{11} + 52538539825 T^{12} + 123305978402 T^{13} - 2353120232451 T^{14} - 3746906640938 T^{15} + 96092440781682 T^{16} + 78396138026870 T^{17} - 3865689826147906 T^{18} - 1544463819888097 T^{19} + 140008643671226317 T^{20} - 57145161335859589 T^{21} - 5292129371996483314 T^{22} + 3970999579475046110 T^{23} +$$$$18\!\cdots\!02$$$$T^{24} -$$$$25\!\cdots\!66$$$$T^{25} -$$$$60\!\cdots\!59$$$$T^{26} +$$$$11\!\cdots\!66$$$$T^{27} +$$$$18\!\cdots\!25$$$$T^{28} -$$$$48\!\cdots\!38$$$$T^{29} -$$$$52\!\cdots\!85$$$$T^{30} +$$$$16\!\cdots\!20$$$$T^{31} +$$$$13\!\cdots\!63$$$$T^{32} -$$$$49\!\cdots\!86$$$$T^{33} -$$$$30\!\cdots\!96$$$$T^{34} +$$$$13\!\cdots\!46$$$$T^{35} +$$$$66\!\cdots\!67$$$$T^{36} -$$$$23\!\cdots\!02$$$$T^{37} -$$$$81\!\cdots\!92$$$$T^{38} +$$$$56\!\cdots\!57$$$$T^{39} +$$$$23\!\cdots\!01$$$$T^{40}$$)($$( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} )^{2}$$)($$( 1 - 37 T^{2} + 1369 T^{4} )^{4}$$)($$1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8}$$)($$( 1 + 26 T^{2} + 1369 T^{4} )( 1 + 47 T^{2} + 1369 T^{4} )$$)($$1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8}$$)($$1 + 60 T^{2} + 1284 T^{4} - 33458 T^{6} - 2979288 T^{8} - 68362776 T^{10} - 1526653965 T^{12} - 93588640344 T^{14} - 5583665377368 T^{16} - 85844074192322 T^{18} + 4510023618834564 T^{20} + 288515062345070940 T^{22} + 6582952005840035281 T^{24}$$)($$1 + 65 T^{2} + 2856 T^{4} + 88985 T^{6} + 1874161 T^{8}$$)($$1 + 65 T^{2} + 2856 T^{4} + 88985 T^{6} + 1874161 T^{8}$$)($$( 1 - 529 T^{4} + 1874161 T^{8} )( 1 + 2591 T^{4} + 1874161 T^{8} )$$)($$1 - 14 T + 98 T^{2} - 108 T^{3} - 5821 T^{4} + 62872 T^{5} - 303918 T^{6} - 264482 T^{7} + 19235053 T^{8} - 155496292 T^{9} + 527814464 T^{10} + 2237395644 T^{11} - 42158420550 T^{12} + 239649719768 T^{13} - 288310266268 T^{14} - 6869428795396 T^{15} + 67515487693706 T^{16} - 254168865429652 T^{17} - 394696754520892 T^{18} + 12138977255408504 T^{19} - 79011667616408550 T^{20} + 155149867329523308 T^{21} + 1354227509336979776 T^{22} - 14761554886781090836 T^{23} + 67562728457581492813 T^{24} - 34372540864481555114 T^{25} -$$$$14\!\cdots\!82$$$$T^{26} +$$$$11\!\cdots\!36$$$$T^{27} -$$$$38\!\cdots\!01$$$$T^{28} -$$$$26\!\cdots\!76$$$$T^{29} +$$$$88\!\cdots\!22$$$$T^{30} -$$$$46\!\cdots\!02$$$$T^{31} +$$$$12\!\cdots\!41$$$$T^{32}$$)($$( 1 - 1369 T^{4} + 1874161 T^{8} )^{2}$$)($$( 1 - 1369 T^{4} + 1874161 T^{8} )^{2}$$)($$( 1 - 1369 T^{4} + 1874161 T^{8} )^{2}$$)
$41$ ($$1 + 6 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 - 6 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 - 6 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$( 1 + 68 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 41 T^{2} )^{4}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 68 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 41 T^{2} )^{8}$$)($$( 1 - 112 T^{2} + 5886 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 112 T^{2} + 5886 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 65 T^{2} + 1681 T^{4} )^{8}$$)($$( 1 + 4 T + 41 T^{2} )^{2}$$)($$( 1 + 6 T + 41 T^{2} )^{2}$$)($$( 1 + 41 T^{2} )^{2}$$)($$( 1 + 4 T + 41 T^{2} )^{2}$$)($$( 1 - 41 T^{2} )^{2}$$)($$( 1 + 68 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 41 T^{2} )^{4}$$)($$( 1 - 12 T + 41 T^{2} )^{2}( 1 + 12 T + 41 T^{2} )^{2}$$)($$( 1 - 41 T^{2} )^{4}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 + 68 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 65 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 112 T^{2} + 5886 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2}$$)($$( 1 - 65 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 10 T^{2} + 1681 T^{4} )^{8}$$)($$( 1 - 5 T + 41 T^{2} )^{2}$$)($$( 1 + 3 T + 41 T^{2} )^{2}$$)($$( 1 - 6 T + 41 T^{2} )^{2}$$)($$( 1 - 11 T + 45 T^{2} - 29 T^{3} + 1845 T^{4} - 18491 T^{5} + 68921 T^{6} )^{2}$$)($$( 1 - 11 T + 45 T^{2} - 29 T^{3} + 1845 T^{4} - 18491 T^{5} + 68921 T^{6} )^{2}$$)($$( 1 + 15 T + 124 T^{2} + 615 T^{3} + 1681 T^{4} )^{4}$$)($$( 1 - 41 T^{2} )^{8}$$)($$( 1 + 26 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 106 T^{2} + 6130 T^{4} - 178186 T^{6} + 2825761 T^{8} )^{2}$$)($$1 - 21 T + 265 T^{2} - 2499 T^{3} + 18124 T^{4} - 102459 T^{5} + 445465 T^{6} - 1447341 T^{7} + 2825761 T^{8}$$)($$1 - 19 T + 145 T^{2} - 821 T^{3} + 5244 T^{4} - 33661 T^{5} + 243745 T^{6} - 1309499 T^{7} + 2825761 T^{8}$$)($$1 + 36 T + 492 T^{2} + 2526 T^{3} - 3546 T^{4} - 11378 T^{5} + 1199717 T^{6} + 6359338 T^{7} - 57943988 T^{8} - 528557006 T^{9} + 496467745 T^{10} + 4370372652 T^{11} - 175244540923 T^{12} - 1054604990651 T^{13} + 2678576594598 T^{14} + 11267965846002 T^{15} - 234715352993274 T^{16} + 65920564557201 T^{17} + 17490548912146967 T^{18} + 50369977246112120 T^{19} - 215094417019265657 T^{20} + 2065169067090596920 T^{21} + 29401612721319051527 T^{22} + 4543311229846850121 T^{23} -$$$$66\!\cdots\!14$$$$T^{24} +$$$$13\!\cdots\!02$$$$T^{25} +$$$$12\!\cdots\!18$$$$T^{26} -$$$$20\!\cdots\!31$$$$T^{27} -$$$$13\!\cdots\!83$$$$T^{28} +$$$$14\!\cdots\!72$$$$T^{29} +$$$$66\!\cdots\!45$$$$T^{30} -$$$$29\!\cdots\!46$$$$T^{31} -$$$$13\!\cdots\!28$$$$T^{32} +$$$$58\!\cdots\!98$$$$T^{33} +$$$$45\!\cdots\!37$$$$T^{34} -$$$$17\!\cdots\!78$$$$T^{35} -$$$$22\!\cdots\!86$$$$T^{36} +$$$$66\!\cdots\!06$$$$T^{37} +$$$$52\!\cdots\!32$$$$T^{38} +$$$$15\!\cdots\!96$$$$T^{39} +$$$$18\!\cdots\!01$$$$T^{40}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 12 T + 103 T^{2} - 492 T^{3} + 1681 T^{4} )^{2}( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} )^{2}$$)($$( 1 + 3 T + 41 T^{2} )^{4}$$)($$( 1 - 6 T + 41 T^{2} )^{4}$$)($$( 1 - 5 T + 41 T^{2} )^{4}$$)($$( 1 - 11 T + 45 T^{2} - 29 T^{3} + 1845 T^{4} - 18491 T^{5} + 68921 T^{6} )^{4}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1681 T^{4} )^{2}$$)($$( 1 - 55 T^{2} + 1681 T^{4} )^{4}$$)($$( 1 - 158 T^{2} + 12249 T^{4} - 702598 T^{6} + 32571956 T^{8} - 1181067238 T^{10} + 34612746489 T^{12} - 750516470078 T^{14} + 7984925229121 T^{16} )^{2}$$)($$( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} )^{4}$$)($$( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} )^{4}$$)($$( 1 - 3 T + 41 T^{2} )^{8}$$)
$43$ ($$1 - 4 T + 43 T^{2}$$)($$1 + 10 T + 43 T^{2}$$)($$1 - 11 T + 43 T^{2}$$)($$1 + 2 T + 43 T^{2}$$)($$1 - 7 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 + 7 T + 43 T^{2}$$)($$1 - 8 T + 43 T^{2}$$)($$1 + 11 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$( 1 + 11 T + 43 T^{2} )^{4}$$)($$( 1 - 2 T + 43 T^{2} )^{4}$$)($$( 1 - 2 T + 43 T^{2} )^{4}$$)($$( 1 + 58 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 2 T + 43 T^{2} )^{4}$$)($$( 1 + 2 T + 43 T^{2} )^{4}$$)($$( 1 - 11 T + 43 T^{2} )^{4}$$)($$( 1 - 58 T^{2} + 1515 T^{4} - 107242 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 114 T^{2} + 6114 T^{4} + 210786 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 114 T^{2} + 6114 T^{4} + 210786 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 132 T^{2} + 7926 T^{4} + 244068 T^{6} + 3418801 T^{8} )^{4}$$)($$1 + 14 T^{2} + 1849 T^{4}$$)($$1 + 35 T^{2} + 1849 T^{4}$$)($$1 - 82 T^{2} + 1849 T^{4}$$)($$1 - 37 T^{2} + 1849 T^{4}$$)($$( 1 - 12 T + 43 T^{2} )( 1 + 12 T + 43 T^{2} )$$)($$( 1 + 35 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 12 T + 101 T^{2} - 516 T^{3} + 1849 T^{4} )( 1 + 12 T + 101 T^{2} + 516 T^{3} + 1849 T^{4} )$$)($$( 1 + 76 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 12 T + 101 T^{2} - 516 T^{3} + 1849 T^{4} )( 1 + 12 T + 101 T^{2} + 516 T^{3} + 1849 T^{4} )$$)($$( 1 - 82 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 82 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 35 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 132 T^{2} + 7926 T^{4} - 244068 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 114 T^{2} + 6114 T^{4} - 210786 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 132 T^{2} + 7926 T^{4} - 244068 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 152 T^{2} + 9406 T^{4} - 281048 T^{6} + 3418801 T^{8} )^{4}$$)($$( 1 + T + 43 T^{2} )^{2}$$)($$( 1 + 5 T + 43 T^{2} )^{2}$$)($$( 1 - 4 T + 43 T^{2} )^{2}$$)($$( 1 + 11 T + 143 T^{2} + 875 T^{3} + 6149 T^{4} + 20339 T^{5} + 79507 T^{6} )^{2}$$)($$( 1 - 11 T + 143 T^{2} - 875 T^{3} + 6149 T^{4} - 20339 T^{5} + 79507 T^{6} )^{2}$$)($$( 1 + 125 T^{2} + 7248 T^{4} + 231125 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 + 1849 T^{4} )^{4}$$)($$( 1 - 3577 T^{4} + 3418801 T^{8} )^{2}$$)($$( 1 - 10 T + 50 T^{2} - 430 T^{3} + 1849 T^{4} )^{4}$$)($$( 1 - 12 T + 102 T^{2} - 516 T^{3} + 1849 T^{4} )^{2}$$)($$( 1 + 6 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 + 23 T + 410 T^{2} + 4713 T^{3} + 46165 T^{4} + 325722 T^{5} + 1906015 T^{6} + 5410504 T^{7} - 12347740 T^{8} - 433519291 T^{9} - 3313783493 T^{10} - 18641329513 T^{11} - 22830971260 T^{12} + 430172941528 T^{13} + 6516285988015 T^{14} + 47883884070846 T^{15} + 291825725157085 T^{16} + 1281081114147291 T^{17} + 4792162113816410 T^{18} + 11559630074547389 T^{19} + 21611482313284249 T^{20} )^{2}$$)($$( 1 - 82 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 76 T^{2} + 3927 T^{4} - 140524 T^{6} + 3418801 T^{8} )^{2}$$)($$( 1 - 61 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 85 T^{2} + 1849 T^{4} )^{2}$$)($$( 1 - 165 T^{2} + 13497 T^{4} - 704545 T^{6} + 24955953 T^{8} - 564102165 T^{10} + 6321363049 T^{12} )^{2}$$)($$( 1 - 2 T + 43 T^{2} )^{4}$$)($$( 1 + 2 T + 43 T^{2} )^{4}$$)($$( 1 - 3577 T^{4} + 3418801 T^{8} )^{2}$$)($$( 1 + 14 T + 98 T^{2} + 1120 T^{3} + 6485 T^{4} - 5180 T^{5} - 80850 T^{6} - 1706838 T^{7} - 22979132 T^{8} - 73394034 T^{9} - 149491650 T^{10} - 411846260 T^{11} + 22170924485 T^{12} + 164649456160 T^{13} + 619493578802 T^{14} + 3805460555498 T^{15} + 11688200277601 T^{16} )^{2}$$)($$( 1 - 18 T + 162 T^{2} - 1368 T^{3} + 10463 T^{4} - 58824 T^{5} + 299538 T^{6} - 1431126 T^{7} + 3418801 T^{8} )^{2}$$)($$( 1 + 18 T + 162 T^{2} + 1368 T^{3} + 10463 T^{4} + 58824 T^{5} + 299538 T^{6} + 1431126 T^{7} + 3418801 T^{8} )^{2}$$)($$( 1 - 3169 T^{4} + 3418801 T^{8} )^{2}$$)
$47$ ($$1 + 11 T + 47 T^{2}$$)($$1 - T + 47 T^{2}$$)($$1 - 6 T + 47 T^{2}$$)($$1 - 3 T + 47 T^{2}$$)($$1 - 2 T + 47 T^{2}$$)($$1 + 8 T + 47 T^{2}$$)($$1 + 2 T + 47 T^{2}$$)($$1 - 8 T + 47 T^{2}$$)($$1 + 6 T + 47 T^{2}$$)($$1 - 11 T + 47 T^{2}$$)($$( 1 - 70 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} )^{4}$$)($$( 1 - 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 70 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 - 47 T^{2} )^{8}$$)($$( 1 - 62 T^{2} + 4002 T^{4} - 136958 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 62 T^{2} + 4002 T^{4} - 136958 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 - 8 T^{2} + 1842 T^{4} - 17672 T^{6} + 4879681 T^{8} )^{4}$$)($$1 - 93 T^{2} + 2209 T^{4}$$)($$1 - 58 T^{2} + 2209 T^{4}$$)($$1 - 85 T^{2} + 2209 T^{4}$$)($$1 - 90 T^{2} + 2209 T^{4}$$)($$( 1 + 47 T^{2} )^{2}$$)($$( 1 + 70 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 4 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 47 T^{2} )^{4}$$)($$( 1 + 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 91 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 70 T^{2} + 2209 T^{4} )^{2}$$)($$( 1 + 8 T^{2} + 1842 T^{4} + 17672 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 62 T^{2} + 4002 T^{4} + 136958 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 8 T^{2} + 1842 T^{4} + 17672 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 93 T^{2} + 4332 T^{4} + 205437 T^{6} + 4879681 T^{8} )^{4}$$)($$1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4}$$)($$1 - 47 T^{2} + 2209 T^{4}$$)($$1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4}$$)($$1 + 4 T - 104 T^{2} - 254 T^{3} + 7292 T^{4} + 7756 T^{5} - 369809 T^{6} + 364532 T^{7} + 16108028 T^{8} - 26371042 T^{9} - 507486824 T^{10} + 917380028 T^{11} + 10779215329 T^{12}$$)($$1 - 4 T - 104 T^{2} + 254 T^{3} + 7292 T^{4} - 7756 T^{5} - 369809 T^{6} - 364532 T^{7} + 16108028 T^{8} + 26371042 T^{9} - 507486824 T^{10} - 917380028 T^{11} + 10779215329 T^{12}$$)($$1 - 141 T^{2} + 10849 T^{4} - 650574 T^{6} + 32780214 T^{8} - 1437117966 T^{10} + 52939659169 T^{12} - 1519869361389 T^{14} + 23811286661761 T^{16}$$)($$1 + 3457 T^{4} + 7071168 T^{8} + 16869057217 T^{12} + 23811286661761 T^{16}$$)($$( 1 - 1918 T^{4} + 4879681 T^{8} )^{2}$$)($$1 - 2227 T^{4} + 6943924 T^{8} - 10867049587 T^{12} + 23811286661761 T^{16}$$)($$1 + 11 T + 29 T^{2} - 373 T^{3} - 4876 T^{4} - 17531 T^{5} + 64061 T^{6} + 1142053 T^{7} + 4879681 T^{8}$$)($$1 - 19 T + 89 T^{2} + 677 T^{3} - 9796 T^{4} + 31819 T^{5} + 196601 T^{6} - 1972637 T^{7} + 4879681 T^{8}$$)($$1 - 4 T - 116 T^{2} + 307 T^{3} + 4816 T^{4} + 33606 T^{5} - 83596 T^{6} - 5098403 T^{7} - 2154268 T^{8} + 208953076 T^{9} + 1398238984 T^{10} + 168908777 T^{11} - 143258875947 T^{12} - 400511508284 T^{13} + 4926669248999 T^{14} + 38016241753672 T^{15} + 92522656998754 T^{16} - 2514536263080324 T^{17} - 14201490491721001 T^{18} + 62089276256068637 T^{19} + 750145192821047613 T^{20} + 2918195984035225939 T^{21} - 31371092496211691209 T^{22} -$$$$26\!\cdots\!52$$$$T^{23} +$$$$45\!\cdots\!74$$$$T^{24} +$$$$87\!\cdots\!04$$$$T^{25} +$$$$53\!\cdots\!71$$$$T^{26} -$$$$20\!\cdots\!92$$$$T^{27} -$$$$34\!\cdots\!67$$$$T^{28} +$$$$18\!\cdots\!59$$$$T^{29} +$$$$73\!\cdots\!16$$$$T^{30} +$$$$51\!\cdots\!28$$$$T^{31} -$$$$25\!\cdots\!88$$$$T^{32} -$$$$27\!\cdots\!81$$$$T^{33} -$$$$21\!\cdots\!24$$$$T^{34} +$$$$40\!\cdots\!58$$$$T^{35} +$$$$27\!\cdots\!36$$$$T^{36} +$$$$81\!\cdots\!09$$$$T^{37} -$$$$14\!\cdots\!24$$$$T^{38} -$$$$23\!\cdots\!32$$$$T^{39} +$$$$27\!\cdots\!01$$$$T^{40}$$)($$1 - 19 T^{2} - 1848 T^{4} - 41971 T^{6} + 4879681 T^{8}$$)($$( 1 - 4 T^{2} - 2193 T^{4} - 8836 T^{6} + 4879681 T^{8} )^{2}$$)($$( 1 + 47 T^{2} + 2209 T^{4} )^{2}$$)($$1 + 13 T^{2} - 2040 T^{4} + 28717 T^{6} + 4879681 T^{8}$$)($$1 + 30 T^{2} - 1309 T^{4} + 66270 T^{6} + 4879681 T^{8}$$)($$1 + 224 T^{2} + 27432 T^{4} + 2382918 T^{6} + 163333384 T^{8} + 9422742872 T^{10} + 472403716939 T^{12} + 20814839004248 T^{14} + 797014810570504 T^{16} + 25685986233350022 T^{18} + 653191215705427752 T^{20} + 11782205620825930976 T^{22} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$( 1 + 15 T + 122 T^{2} + 705 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 - 15 T + 122 T^{2} - 705 T^{3} + 2209 T^{4} )^{2}$$)($$( 1 - 2209 T^{4} + 4879681 T^{8} )^{2}$$)($$1 - 6 T + 18 T^{2} - 36 T^{3} - 2921 T^{4} + 18468 T^{5} - 57582 T^{6} + 252870 T^{7} + 4663233 T^{8} - 33295872 T^{9} + 109070208 T^{10} - 1603653504 T^{11} + 22768480382 T^{12} - 42197450964 T^{13} - 94740600420 T^{14} + 4237289839752 T^{15} - 69054970682542 T^{16} + 199152622468344 T^{17} - 209281986327780 T^{18} - 4381065951435372 T^{19} + 111102921118918142 T^{20} - 367789924100454528 T^{21} + 1175691258010818432 T^{22} - 16868458571176628736 T^{23} +$$$$11\!\cdots\!13$$$$T^{24} +$$$$28\!\cdots\!90$$$$T^{25} -$$$$30\!\cdots\!18$$$$T^{26} +$$$$45\!\cdots\!04$$$$T^{27} -$$$$33\!\cdots\!61$$$$T^{28} -$$$$19\!\cdots\!72$$$$T^{29} +$$$$46\!\cdots\!42$$$$T^{30} -$$$$72\!\cdots\!58$$$$T^{31} +$$$$56\!\cdots\!21$$$$T^{32}$$)($$( 1 + 14 T + 98 T^{2} + 56 T^{3} - 1817 T^{4} + 2632 T^{5} + 216482 T^{6} + 1453522 T^{7} + 4879681 T^{8} )^{2}$$)($$( 1 - 14 T + 98 T^{2} - 56 T^{3} - 1817 T^{4} - 2632 T^{5} + 216482 T^{6} - 1453522 T^{7} + 4879681 T^{8} )^{2}$$)($$1 + 4094 T^{4} + 11881155 T^{8} + 19977414014 T^{12} + 23811286661761 T^{16}$$)
$53$ ($$1 + 6 T + 53 T^{2}$$)($$1 + 4 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 + 53 T^{2}$$)($$1 - 10 T + 53 T^{2}$$)($$1 + 53 T^{2}$$)($$1 + 10 T + 53 T^{2}$$)($$1 + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$( 1 - 14 T + 53 T^{2} )^{2}( 1 + 14 T + 53 T^{2} )^{2}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 6 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{2}$$)($$( 1 - 14 T + 53 T^{2} )^{2}( 1 + 14 T + 53 T^{2} )^{2}$$)($$( 1 - 6 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 - 102 T^{2} + 2809 T^{4} )^{4}$$)($$( 1 - 48 T^{2} + 1586 T^{4} - 134832 T^{6} + 7890481 T^{8} )^{4}$$)($$( 1 - 14 T + 53 T^{2} )( 1 + 14 T + 53 T^{2} )$$)($$1 - 70 T^{2} + 2809 T^{4}$$)($$( 1 - 53 T^{2} )^{2}$$)($$1 - 6 T^{2} + 2809 T^{4}$$)($$( 1 - 10 T + 53 T^{2} )^{2}$$)($$( 1 - 4 T + 53 T^{2} )^{4}$$)($$( 1 - 10 T + 53 T^{2} )^{4}$$)($$( 1 + 53 T^{2} )^{4}$$)($$( 1 + 10 T + 53 T^{2} )^{4}$$)($$( 1 + 2 T + 53 T^{2} )^{4}$$)($$( 1 + 2 T + 53 T^{2} )^{4}$$)($$( 1 + 4 T + 53 T^{2} )^{4}$$)($$( 1 - 16 T + 152 T^{2} - 848 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 + 2 T + 53 T^{2} )^{8}$$)($$( 1 + 16 T + 152 T^{2} + 848 T^{3} + 2809 T^{4} )^{4}$$)($$( 1 + 48 T^{2} + 6126 T^{4} + 134832 T^{6} + 7890481 T^{8} )^{4}$$)($$1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4}$$)($$1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4}$$)($$1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4}$$)($$1 + 14 T + 52 T^{2} + 146 T^{3} + 14 T^{4} - 39730 T^{5} - 477593 T^{6} - 2105690 T^{7} + 39326 T^{8} + 21736042 T^{9} + 410305012 T^{10} + 5854736902 T^{11} + 22164361129 T^{12}$$)($$1 - 14 T + 52 T^{2} - 146 T^{3} + 14 T^{4} + 39730 T^{5} - 477593 T^{6} + 2105690 T^{7} + 39326 T^{8} - 21736042 T^{9} + 410305012 T^{10} - 5854736902 T^{11} + 22164361129 T^{12}$$)($$1 - 125 T^{2} + 6229 T^{4} - 472250 T^{6} + 36503710 T^{8} - 1326550250 T^{10} + 49149806149 T^{12} - 2770545141125 T^{14} + 62259690411361 T^{16}$$)($$( 1 + 2809 T^{4} )^{4}$$)($$( 1 + 2809 T^{4} )^{4}$$)($$( 1 - 4 T + 53 T^{2} )^{4}( 1 + 14 T + 53 T^{2} )^{4}$$)($$1 + T + 23 T^{2} + 255 T^{3} + 2816 T^{4} + 13515 T^{5} + 64607 T^{6} + 148877 T^{7} + 7890481 T^{8}$$)($$1 + T - 37 T^{2} - 305 T^{3} + 1976 T^{4} - 16165 T^{5} - 103933 T^{6} + 148877 T^{7} + 7890481 T^{8}$$)($$1 - 14 T - 159 T^{2} + 3263 T^{3} + 4765 T^{4} - 304205 T^{5} + 489745 T^{6} + 14337357 T^{7} - 31164853 T^{8} - 306918499 T^{9} - 2046328838 T^{10} + 318459699 T^{11} + 455137016999 T^{12} - 951134389068 T^{13} - 37000314673215 T^{14} + 167854709577980 T^{15} + 1661829888620705 T^{16} - 10707606553045642 T^{17} - 45774726968579257 T^{18} + 246049900510583199 T^{19} + 1399219316540458759 T^{20} + 13040644727060909547 T^{21} -$$$$12\!\cdots\!13$$$$T^{22} -$$$$15\!\cdots\!34$$$$T^{23} +$$$$13\!\cdots\!05$$$$T^{24} +$$$$70\!\cdots\!40$$$$T^{25} -$$$$82\!\cdots\!35$$$$T^{26} -$$$$11\!\cdots\!16$$$$T^{27} +$$$$28\!\cdots\!39$$$$T^{28} +$$$$10\!\cdots\!67$$$$T^{29} -$$$$35\!\cdots\!62$$$$T^{30} -$$$$28\!\cdots\!03$$$$T^{31} -$$$$15\!\cdots\!73$$$$T^{32} +$$$$37\!\cdots\!61$$$$T^{33} +$$$$67\!\cdots\!05$$$$T^{34} -$$$$22\!\cdots\!85$$$$T^{35} +$$$$18\!\cdots\!65$$$$T^{36} +$$$$67\!\cdots\!19$$$$T^{37} -$$$$17\!\cdots\!51$$$$T^{38} -$$$$80\!\cdots\!38$$$$T^{39} +$$$$30\!\cdots\!01$$$$T^{40}$$)($$( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} )^{2}$$)($$( 1 - 53 T^{2} + 2809 T^{4} )^{4}$$)($$1 - 38 T^{2} - 1365 T^{4} - 106742 T^{6} + 7890481 T^{8}$$)($$1 + 97 T^{2} + 6600 T^{4} + 272473 T^{6} + 7890481 T^{8}$$)($$( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} )( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} )$$)($$1 + 92 T^{2} - 1356 T^{4} - 137394 T^{6} + 20969656 T^{8} + 760893272 T^{10} - 22501066637 T^{12} + 2137349201048 T^{14} + 165460672244536 T^{16} - 3045250232957826 T^{18} - 84424140197805516 T^{20} + 16089647273627200508 T^{22} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 + 105 T^{2} + 8216 T^{4} + 294945 T^{6} + 7890481 T^{8}$$)($$1 + 105 T^{2} + 8216 T^{4} + 294945 T^{6} + 7890481 T^{8}$$)($$1 + 5614 T^{4} + 23626515 T^{8} + 44297160334 T^{12} + 62259690411361 T^{16}$$)($$1 - 10 T + 50 T^{2} - 188 T^{3} + 23 T^{4} + 11360 T^{5} - 97078 T^{6} + 1940530 T^{7} - 11034527 T^{8} + 98244124 T^{9} - 728776936 T^{10} + 2410860356 T^{11} + 12119827374 T^{12} - 85538769312 T^{13} + 1740588224004 T^{14} - 17220856292660 T^{15} + 182053383396050 T^{16} - 912705383510980 T^{17} + 4889312321227236 T^{18} - 12734755358862624 T^{19} + 95631267617826894 T^{20} + 1008210935131575508 T^{21} - 16152875191990120744 T^{22} +$$$$11\!\cdots\!88$$$$T^{23} -$$$$68\!\cdots\!47$$$$T^{24} +$$$$64\!\cdots\!90$$$$T^{25} -$$$$16\!\cdots\!22$$$$T^{26} +$$$$10\!\cdots\!20$$$$T^{27} +$$$$11\!\cdots\!43$$$$T^{28} -$$$$48\!\cdots\!24$$$$T^{29} +$$$$68\!\cdots\!50$$$$T^{30} -$$$$73\!\cdots\!70$$$$T^{31} +$$$$38\!\cdots\!21$$$$T^{32}$$)($$( 1 - 2809 T^{4} + 7890481 T^{8} )^{2}$$)($$( 1 - 2809 T^{4} + 7890481 T^{8} )^{2}$$)($$( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} )^{2}( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} )^{2}$$)
$59$ ($$1 + 10 T + 59 T^{2}$$)($$1 + 8 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 - 12 T + 59 T^{2}$$)($$1 + 14 T + 59 T^{2}$$)($$1 + 4 T + 59 T^{2}$$)($$1 + 14 T + 59 T^{2}$$)($$1 + 4 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 10 T + 59 T^{2}$$)($$( 1 - 32 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 59 T^{2} )^{4}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 - 32 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 59 T^{2} )^{8}$$)($$( 1 + 112 T^{2} + 6766 T^{4} + 389872 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 112 T^{2} + 6766 T^{4} + 389872 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 196 T^{2} + 16438 T^{4} + 682276 T^{6} + 12117361 T^{8} )^{4}$$)($$( 1 - 8 T + 59 T^{2} )^{2}$$)($$( 1 + 59 T^{2} )^{2}$$)($$( 1 + 12 T + 59 T^{2} )^{2}$$)($$( 1 - 14 T + 59 T^{2} )^{2}$$)($$( 1 + 59 T^{2} )^{2}$$)($$( 1 - 32 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 59 T^{2} )^{4}$$)($$( 1 + 59 T^{2} )^{4}$$)($$( 1 + 59 T^{2} )^{4}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 106 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 - 32 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 + 196 T^{2} + 16438 T^{4} + 682276 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 112 T^{2} + 6766 T^{4} + 389872 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 + 196 T^{2} + 16438 T^{4} + 682276 T^{6} + 12117361 T^{8} )^{2}$$)($$( 1 - 34 T^{2} + 2338 T^{4} - 118354 T^{6} + 12117361 T^{8} )^{4}$$)($$1 - 8 T + 5 T^{2} - 472 T^{3} + 3481 T^{4}$$)($$1 - 59 T^{2} + 3481 T^{4}$$)($$1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4}$$)($$1 - 5 T - 152 T^{2} + 277 T^{3} + 17981 T^{4} - 15812 T^{5} - 1187117 T^{6} - 932908 T^{7} + 62591861 T^{8} + 56889983 T^{9} - 1841838872 T^{10} - 3574621495 T^{11} + 42180533641 T^{12}$$)($$1 - 5 T - 152 T^{2} + 277 T^{3} + 17981 T^{4} - 15812 T^{5} - 1187117 T^{6} - 932908 T^{7} + 62591861 T^{8} + 56889983 T^{9} - 1841838872 T^{10} - 3574621495 T^{11} + 42180533641 T^{12}$$)($$( 1 + T - 103 T^{2} - 14 T^{3} + 7276 T^{4} - 826 T^{5} - 358543 T^{6} + 205379 T^{7} + 12117361 T^{8} )^{2}$$)($$( 1 + 59 T^{2} )^{8}$$)($$( 1 + 10 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 + 178 T^{2} + 14842 T^{4} + 619618 T^{6} + 12117361 T^{8} )^{2}$$)($$1 + 5 T - 49 T^{2} - 295 T^{3} + 1736 T^{4} - 17405 T^{5} - 170569 T^{6} + 1026895 T^{7} + 12117361 T^{8}$$)($$1 + 27 T + 395 T^{2} + 4287 T^{3} + 36784 T^{4} + 252933 T^{5} + 1374995 T^{6} + 5545233 T^{7} + 12117361 T^{8}$$)($$1 - 9 T - 142 T^{2} + 1243 T^{3} + 13192 T^{4} - 149372 T^{5} - 386292 T^{6} + 12693759 T^{7} - 16717034 T^{8} - 1025908930 T^{9} + 4048451258 T^{10} + 61397449106 T^{11} - 322449669054 T^{12} - 3411927251578 T^{13} + 26526940796903 T^{14} + 135252559770414 T^{15} - 1841845378925232 T^{16} - 5405285323759179 T^{17} + 139562214031386856 T^{18} + 65205532953618362 T^{19} - 8416854159732815857 T^{20} + 3847126444263483358 T^{21} +$$$$48\!\cdots\!36$$$$T^{22} -$$$$11\!\cdots\!41$$$$T^{23} -$$$$22\!\cdots\!52$$$$T^{24} +$$$$96\!\cdots\!86$$$$T^{25} +$$$$11\!\cdots\!23$$$$T^{26} -$$$$84\!\cdots\!82$$$$T^{27} -$$$$47\!\cdots\!34$$$$T^{28} +$$$$53\!\cdots\!34$$$$T^{29} +$$$$20\!\cdots\!58$$$$T^{30} -$$$$30\!\cdots\!70$$$$T^{31} -$$$$29\!\cdots\!54$$$$T^{32} +$$$$13\!\cdots\!61$$$$T^{33} -$$$$23\!\cdots\!12$$$$T^{34} -$$$$54\!\cdots\!28$$$$T^{35} +$$$$28\!\cdots\!72$$$$T^{36} +$$$$15\!\cdots\!17$$$$T^{37} -$$$$10\!\cdots\!82$$$$T^{38} -$$$$39\!\cdots\!51$$$$T^{39} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$1 - 91 T^{2} + 4800 T^{4} - 316771 T^{6} + 12117361 T^{8}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{2}$$)($$( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 8 T + 5 T^{2} + 472 T^{3} + 3481 T^{4} )^{2}$$)($$( 1 + 5 T - 152 T^{2} - 277 T^{3} + 17981 T^{4} + 15812 T^{5} - 1187117 T^{6} + 932908 T^{7} + 62591861 T^{8} - 56889983 T^{9} - 1841838872 T^{10} + 3574621495 T^{11} + 42180533641 T^{12} )^{2}$$)($$1 - 91 T^{2} + 4800 T^{4} - 316771 T^{6} + 12117361 T^{8}$$)($$1 - 91 T^{2} + 4800 T^{4} - 316771 T^{6} + 12117361 T^{8}$$)($$( 1 - 10 T^{2} - 3381 T^{4} - 34810 T^{6} + 12117361 T^{8} )^{2}$$)($$1 - 206 T^{2} + 19951 T^{4} - 1160698 T^{6} + 36895301 T^{8} + 725030860 T^{10} - 186430156390 T^{12} + 13972955412536 T^{14} - 825805533647366 T^{16} + 48639857791037816 T^{18} - 2259041506264086790 T^{20} + 30582188580993161260 T^{22} +$$$$54\!\cdots\!21$$$$T^{24} -$$$$59\!\cdots\!98$$$$T^{26} +$$$$35\!\cdots\!31$$$$T^{28} -$$$$12\!\cdots\!66$$$$T^{30} +$$$$21\!\cdots\!41$$$$T^{32}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 - 59 T^{2} + 3481 T^{4} )^{4}$$)($$( 1 - 104 T^{2} + 7335 T^{4} - 362024 T^{6} + 12117361 T^{8} )^{2}$$)
$61$ ($$1 + 61 T^{2}$$)($$1 + 8 T + 61 T^{2}$$)($$1 + 10 T + 61 T^{2}$$)($$1 - 8 T + 61 T^{2}$$)($$1 - 4 T + 61 T^{2}$$)($$1 + 6 T + 61 T^{2}$$)($$1 - 4 T + 61 T^{2}$$)($$1 + 6 T + 61 T^{2}$$)($$1 + 10 T + 61 T^{2}$$)($$1 + 61 T^{2}$$)($$( 1 + 28 T^{2} + 3721 T^{4} )^{2}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$( 1 - 61 T^{2} )^{4}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$( 1 + 28 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 - 61 T^{2} )^{8}$$)($$( 1 - 118 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 - 118 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 + 14 T^{2} + 3721 T^{4} )^{8}$$)($$( 1 + 8 T + 61 T^{2} )^{2}$$)($$( 1 + 10 T + 61 T^{2} )^{2}$$)($$( 1 - 8 T + 61 T^{2} )^{2}$$)($$( 1 - 4 T + 61 T^{2} )^{2}$$)($$( 1 - 61 T^{2} )^{2}$$)($$( 1 + 28 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 - 61 T^{2} )^{4}$$)($$( 1 - 8 T + 61 T^{2} )^{2}( 1 + 8 T + 61 T^{2} )^{2}$$)($$( 1 - 61 T^{2} )^{4}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$1 - 148 T^{2} + 11190 T^{4} - 550708 T^{6} + 13845841 T^{8}$$)($$( 1 + 28 T^{2} + 3721 T^{4} )^{2}$$)($$( 1 + 14 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 - 118 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 + 14 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 - 202 T^{2} + 17218 T^{4} - 751642 T^{6} + 13845841 T^{8} )^{4}$$)($$1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4}$$)($$( 1 - 14 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} )$$)($$( 1 - 14 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} )$$)($$1 + 17 T + 80 T^{2} - 597 T^{3} - 4343 T^{4} + 63466 T^{5} + 1019677 T^{6} + 3871426 T^{7} - 16160303 T^{8} - 135507657 T^{9} + 1107667280 T^{10} + 14358137117 T^{11} + 51520374361 T^{12}$$)($$1 + 17 T + 80 T^{2} - 597 T^{3} - 4343 T^{4} + 63466 T^{5} + 1019677 T^{6} + 3871426 T^{7} - 16160303 T^{8} - 135507657 T^{9} + 1107667280 T^{10} + 14358137117 T^{11} + 51520374361 T^{12}$$)($$( 1 - 12 T + 43 T^{2} + 252 T^{3} - 2304 T^{4} + 15372 T^{5} + 160003 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{2}$$)($$( 1 - 61 T^{2} )^{8}$$)($$( 1 - 110 T^{2} + 3721 T^{4} )^{4}$$)($$( 1 - 12 T^{2} + 6822 T^{4} - 44652 T^{6} + 13845841 T^{8} )^{2}$$)($$1 + 15 T + 129 T^{2} + 1405 T^{3} + 14676 T^{4} + 85705 T^{5} + 480009 T^{6} + 3404715 T^{7} + 13845841 T^{8}$$)($$1 + 17 T + 53 T^{2} - 461 T^{3} - 4820 T^{4} - 28121 T^{5} + 197213 T^{6} + 3858677 T^{7} + 13845841 T^{8}$$)($$1 - 66 T + 1973 T^{2} - 36301 T^{3} + 491635 T^{4} - 5747421 T^{5} + 62455630 T^{6} - 605032362 T^{7} + 5091650192 T^{8} - 39868907311 T^{9} + 307273899852 T^{10} - 2212879392261 T^{11} + 15068594380899 T^{12} - 115733116790030 T^{13} + 1024023206186885 T^{14} - 9060369177576602 T^{15} + 81194901867777806 T^{16} - 760364815220312556 T^{17} + 6867413817959817137 T^{18} - 56967428853901005536 T^{19} +$$$$44\!\cdots\!73$$$$T^{20} -$$$$34\!\cdots\!96$$$$T^{21} +$$$$25\!\cdots\!77$$$$T^{22} -$$$$17\!\cdots\!36$$$$T^{23} +$$$$11\!\cdots\!46$$$$T^{24} -$$$$76\!\cdots\!02$$$$T^{25} +$$$$52\!\cdots\!85$$$$T^{26} -$$$$36\!\cdots\!30$$$$T^{27} +$$$$28\!\cdots\!19$$$$T^{28} -$$$$25\!\cdots\!01$$$$T^{29} +$$$$21\!\cdots\!52$$$$T^{30} -$$$$17\!\cdots\!71$$$$T^{31} +$$$$13\!\cdots\!32$$$$T^{32} -$$$$97\!\cdots\!22$$$$T^{33} +$$$$61\!\cdots\!30$$$$T^{34} -$$$$34\!\cdots\!21$$$$T^{35} +$$$$18\!\cdots\!35$$$$T^{36} -$$$$81\!\cdots\!21$$$$T^{37} +$$$$26\!\cdots\!13$$$$T^{38} -$$$$55\!\cdots\!06$$$$T^{39} +$$$$50\!\cdots\!01$$$$T^{40}$$)($$( 1 + 9 T + 88 T^{2} + 549 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 8 T + 61 T^{2} )^{4}( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 14 T + 61 T^{2} )^{2}( 1 + 13 T + 61 T^{2} )^{2}$$)($$( 1 - 14 T + 61 T^{2} )^{2}( 1 + 13 T + 61 T^{2} )^{2}$$)($$( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 17 T + 80 T^{2} - 597 T^{3} - 4343 T^{4} + 63466 T^{5} + 1019677 T^{6} + 3871426 T^{7} - 16160303 T^{8} - 135507657 T^{9} + 1107667280 T^{10} + 14358137117 T^{11} + 51520374361 T^{12} )^{2}$$)($$( 1 + 9 T + 88 T^{2} + 549 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 9 T + 88 T^{2} + 549 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 9 T + 88 T^{2} - 549 T^{3} + 3721 T^{4} )^{4}$$)($$( 1 - 30 T + 582 T^{2} - 8460 T^{3} + 99825 T^{4} - 999804 T^{5} + 8996706 T^{6} - 74534946 T^{7} + 592164188 T^{8} - 4546631706 T^{9} + 33476743026 T^{10} - 226936511724 T^{11} + 1382161077825 T^{12} - 7145284706460 T^{13} + 29984857878102 T^{14} - 94282285080630 T^{15} + 191707312997281 T^{16} )^{2}$$)($$( 1 + 8 T + 61 T^{2} )^{4}( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 + 8 T + 61 T^{2} )^{4}( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} )^{2}$$)($$( 1 - 3 T - 52 T^{2} - 183 T^{3} + 3721 T^{4} )^{4}$$)
$67$ ($$1 - 10 T + 67 T^{2}$$)($$1 + 12 T + 67 T^{2}$$)($$1 - 5 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 + 3 T + 67 T^{2}$$)($$1 + 8 T + 67 T^{2}$$)($$1 - 3 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 + 5 T + 67 T^{2}$$)($$1 + 10 T + 67 T^{2}$$)($$( 1 - 3 T + 67 T^{2} )^{4}$$)($$( 1 + 122 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 122 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 118 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 122 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 122 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 + 3 T + 67 T^{2} )^{4}$$)($$( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 + 50 T^{2} + 610 T^{4} + 224450 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 + 50 T^{2} + 610 T^{4} + 224450 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 + 50 T^{2} + 6715 T^{4} + 224450 T^{6} + 20151121 T^{8} )^{4}$$)($$1 + 10 T^{2} + 4489 T^{4}$$)($$1 - 109 T^{2} + 4489 T^{4}$$)($$1 - 70 T^{2} + 4489 T^{4}$$)($$1 - 125 T^{2} + 4489 T^{4}$$)($$( 1 - 4 T + 67 T^{2} )( 1 + 4 T + 67 T^{2} )$$)($$( 1 - 125 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )$$)($$( 1 - 116 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )$$)($$( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2}$$)($$( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2}$$)($$( 1 - 125 T^{2} + 4489 T^{4} )^{2}$$)($$( 1 - 50 T^{2} + 6715 T^{4} - 224450 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 50 T^{2} + 610 T^{4} - 224450 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 50 T^{2} + 6715 T^{4} - 224450 T^{6} + 20151121 T^{8} )^{2}$$)($$( 1 - 240 T^{2} + 23310 T^{4} - 1077360 T^{6} + 20151121 T^{8} )^{4}$$)($$1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4}$$)($$1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4}$$)($$1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4}$$)($$1 + 20 T + 99 T^{2} + 516 T^{3} + 15394 T^{4} + 111452 T^{5} + 309163 T^{6} + 7467284 T^{7} + 69103666 T^{8} + 155193708 T^{9} + 1994960979 T^{10} + 27002502140 T^{11} + 90458382169 T^{12}$$)($$1 - 20 T + 99 T^{2} - 516 T^{3} + 15394 T^{4} - 111452 T^{5} + 309163 T^{6} - 7467284 T^{7} + 69103666 T^{8} - 155193708 T^{9} + 1994960979 T^{10} - 27002502140 T^{11} + 90458382169 T^{12}$$)($$1 - 62 T^{2} + 2113 T^{4} + 449314 T^{6} - 34410476 T^{8} + 2016970546 T^{10} + 42579318673 T^{12} - 5608419694478 T^{14} + 406067677556641 T^{16}$$)($$( 1 + 4489 T^{4} )^{4}$$)($$( 1 - 5497 T^{4} + 20151121 T^{8} )^{2}$$)($$( 1 + 10 T + 50 T^{2} + 670 T^{3} + 4489 T^{4} )^{4}$$)($$1 + 5 T - 57 T^{2} - 335 T^{3} + 2504 T^{4} - 22445 T^{5} - 255873 T^{6} + 1503815 T^{7} + 20151121 T^{8}$$)($$1 - 7 T - 33 T^{2} - 155 T^{3} + 5816 T^{4} - 10385 T^{5} - 148137 T^{6} - 2105341 T^{7} + 20151121 T^{8}$$)($$1 - 23 T + 140 T^{2} + 2116 T^{3} - 27460 T^{4} - 86351 T^{5} + 2683137 T^{6} + 9023824 T^{7} - 278560854 T^{8} - 591723513 T^{9} + 30752147353 T^{10} - 10787800814 T^{11} - 2248229415101 T^{12} + 3024157790948 T^{13} + 163035044180837 T^{14} - 103563410108202 T^{15} - 11881062550891326 T^{16} + 12606359110395207 T^{17} + 830040268613970892 T^{18} - 334309334834839714 T^{19} - 51186101119914111067 T^{20} - 22398725433934260838 T^{21} +$$$$37\!\cdots\!88$$$$T^{22} +$$$$37\!\cdots\!41$$$$T^{23} -$$$$23\!\cdots\!46$$$$T^{24} -$$$$13\!\cdots\!14$$$$T^{25} +$$$$14\!\cdots\!53$$$$T^{26} +$$$$18\!\cdots\!04$$$$T^{27} -$$$$91\!\cdots\!41$$$$T^{28} -$$$$29\!\cdots\!58$$$$T^{29} +$$$$56\!\cdots\!97$$$$T^{30} -$$$$72\!\cdots\!79$$$$T^{31} -$$$$22\!\cdots\!94$$$$T^{32} +$$$$49\!\cdots\!88$$$$T^{33} +$$$$98\!\cdots\!73$$$$T^{34} -$$$$21\!\cdots\!93$$$$T^{35} -$$$$45\!\cdots\!60$$$$T^{36} +$$$$23\!\cdots\!32$$$$T^{37} +$$$$10\!\cdots\!60$$$$T^{38} -$$$$11\!\cdots\!69$$$$T^{39} +$$$$33\!\cdots\!01$$$$T^{40}$$)($$1 + 125 T^{2} + 11136 T^{4} + 561125 T^{6} + 20151121 T^{8}$$)($$( 1 - 116 T^{2} + 4489 T^{4} )^{2}( 1 + 116 T^{2} + 8967 T^{4} + 520724 T^{6} + 20151121 T^{8} )$$)($$1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8}$$)($$1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8}$$)($$1 + 125 T^{2} + 11136 T^{4} + 561125 T^{6} + 20151121 T^{8}$$)($$1 + 202 T^{2} + 19949 T^{4} + 1057998 T^{6} + 22687018 T^{8} - 855424558 T^{10} - 105682997435 T^{12} - 3840000840862 T^{14} + 457168844847178 T^{16} + 95704787418037662 T^{18} + 8100644099577431309 T^{20} +$$$$36\!\cdots\!98$$$$T^{22} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} )^{2}$$)($$( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} )^{2}$$)($$1 - 8183 T^{4} + 46810368 T^{8} - 164896623143 T^{12} + 406067677556641 T^{16}$$)($$1 + 8 T + 32 T^{2} - 808 T^{3} - 16674 T^{4} - 125636 T^{5} - 145088 T^{6} + 9689764 T^{7} + 129576665 T^{8} + 816425320 T^{9} + 28624904 T^{10} - 54970031296 T^{11} - 681977968770 T^{12} - 3748418094196 T^{13} - 97601960616 T^{14} + 251315307372252 T^{15} + 3105056071736884 T^{16} + 16838125593940884 T^{17} - 438135201205224 T^{18} - 1127385471264671548 T^{19} - 13742620568018491170 T^{20} - 74216419385305348672 T^{21} + 2589362505582936776 T^{22} +$$$$49\!\cdots\!60$$$$T^{23} +$$$$52\!\cdots\!65$$$$T^{24} +$$$$26\!\cdots\!08$$$$T^{25} -$$$$26\!\cdots\!12$$$$T^{26} -$$$$15\!\cdots\!88$$$$T^{27} -$$$$13\!\cdots\!14$$$$T^{28} -$$$$44\!\cdots\!96$$$$T^{29} +$$$$11\!\cdots\!28$$$$T^{30} +$$$$19\!\cdots\!44$$$$T^{31} +$$$$16\!\cdots\!81$$$$T^{32}$$)($$( 1 + 6 T + 18 T^{2} + 402 T^{3} + 4489 T^{4} )^{2}( 1 - 6 T + 18 T^{2} + 696 T^{3} - 6577 T^{4} + 46632 T^{5} + 80802 T^{6} - 1804578 T^{7} + 20151121 T^{8} )$$)($$( 1 - 6 T + 18 T^{2} - 402 T^{3} + 4489 T^{4} )^{2}( 1 + 6 T + 18 T^{2} - 696 T^{3} - 6577 T^{4} - 46632 T^{5} + 80802 T^{6} + 1804578 T^{7} + 20151121 T^{8} )$$)($$1 + 7297 T^{4} + 33095088 T^{8} + 147042729937 T^{12} + 406067677556641 T^{16}$$)
$71$ ($$1 + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 - 15 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 13 T + 71 T^{2}$$)($$1 - 12 T + 71 T^{2}$$)($$1 + 13 T + 71 T^{2}$$)($$1 - 12 T + 71 T^{2}$$)($$1 - 15 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$( 1 - 117 T^{2} + 5041 T^{4} )^{2}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$( 1 - 16 T + 71 T^{2} )^{2}( 1 + 16 T + 71 T^{2} )^{2}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$( 1 - 117 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 16 T + 185 T^{2} - 1136 T^{3} + 5041 T^{4} )^{2}( 1 + 16 T + 185 T^{2} + 1136 T^{3} + 5041 T^{4} )^{2}$$)($$( 1 - 192 T^{2} + 19230 T^{4} - 967872 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 192 T^{2} + 19230 T^{4} - 967872 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 168 T^{2} + 17106 T^{4} - 846888 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 - 8 T + 71 T^{2} )^{2}$$)($$( 1 - 15 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 13 T + 71 T^{2} )^{2}$$)($$( 1 - 16 T + 71 T^{2} )( 1 + 16 T + 71 T^{2} )$$)($$( 1 - 117 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 16 T + 185 T^{2} - 1136 T^{3} + 5041 T^{4} )( 1 + 16 T + 185 T^{2} + 1136 T^{3} + 5041 T^{4} )$$)($$( 1 - 71 T^{2} )^{4}$$)($$( 1 - 16 T + 185 T^{2} - 1136 T^{3} + 5041 T^{4} )( 1 + 16 T + 185 T^{2} + 1136 T^{3} + 5041 T^{4} )$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$1 - 228 T^{2} + 22310 T^{4} - 1149348 T^{6} + 25411681 T^{8}$$)($$( 1 - 117 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 168 T^{2} + 17106 T^{4} - 846888 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 192 T^{2} + 19230 T^{4} - 967872 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 168 T^{2} + 17106 T^{4} - 846888 T^{6} + 25411681 T^{8} )^{2}$$)($$( 1 - 48 T^{2} + 10046 T^{4} - 241968 T^{6} + 25411681 T^{8} )^{4}$$)($$( 1 - 8 T + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 71 T^{2} )^{2}$$)($$( 1 + 19 T + 300 T^{2} + 2743 T^{3} + 21300 T^{4} + 95779 T^{5} + 357911 T^{6} )^{2}$$)($$( 1 + 19 T + 300 T^{2} + 2743 T^{3} + 21300 T^{4} + 95779 T^{5} + 357911 T^{6} )^{2}$$)($$( 1 - 6 T + 94 T^{2} - 426 T^{3} + 5041 T^{4} )^{4}$$)($$( 1 - 12 T + 71 T^{2} )^{8}$$)($$( 1 + 15 T + 71 T^{2} )^{8}$$)($$( 1 - 2 T + 102 T^{2} - 142 T^{3} + 5041 T^{4} )^{4}$$)($$1 - 25 T + 239 T^{2} - 1545 T^{3} + 11936 T^{4} - 109695 T^{5} + 1204799 T^{6} - 8947775 T^{7} + 25411681 T^{8}$$)($$1 + 23 T + 143 T^{2} - 409 T^{3} - 9760 T^{4} - 29039 T^{5} + 720863 T^{6} + 8231953 T^{7} + 25411681 T^{8}$$)($$1 + 44 T + 1132 T^{2} + 22388 T^{3} + 374706 T^{4} + 5498916 T^{5} + 73009803 T^{6} + 898278804 T^{7} + 10397493761 T^{8} + 114455712032 T^{9} + 1210064139058 T^{10} + 12350534915630 T^{11} + 122153926086520 T^{12} + 1174757343761850 T^{13} + 11014315805599670 T^{14} + 100927463204408368 T^{15} + 907175260356362222 T^{16} + 8017252148067321471 T^{17} + 69792445719229098729 T^{18} +$$$$59\!\cdots\!23$$$$T^{19} +$$$$50\!\cdots\!39$$$$T^{20} +$$$$42\!\cdots\!33$$$$T^{21} +$$$$35\!\cdots\!89$$$$T^{22} +$$$$28\!\cdots\!81$$$$T^{23} +$$$$23\!\cdots\!82$$$$T^{24} +$$$$18\!\cdots\!68$$$$T^{25} +$$$$14\!\cdots\!70$$$$T^{26} +$$$$10\!\cdots\!50$$$$T^{27} +$$$$78\!\cdots\!20$$$$T^{28} +$$$$56\!\cdots\!30$$$$T^{29} +$$$$39\!\cdots\!58$$$$T^{30} +$$$$26\!\cdots\!72$$$$T^{31} +$$$$17\!\cdots\!01$$$$T^{32} +$$$$10\!\cdots\!44$$$$T^{33} +$$$$60\!\cdots\!43$$$$T^{34} +$$$$32\!\cdots\!16$$$$T^{35} +$$$$15\!\cdots\!26$$$$T^{36} +$$$$66\!\cdots\!08$$$$T^{37} +$$$$23\!\cdots\!52$$$$T^{38} +$$$$65\!\cdots\!64$$$$T^{39} +$$$$10\!\cdots\!01$$$$T^{40}$$)($$( 1 + 54 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 + 71 T^{2} )^{4}$$)($$( 1 - 8 T + 71 T^{2} )^{4}$$)($$( 1 + 19 T + 300 T^{2} + 2743 T^{3} + 21300 T^{4} + 95779 T^{5} + 357911 T^{6} )^{4}$$)($$( 1 + 54 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 + 54 T^{2} + 5041 T^{4} )^{2}$$)($$( 1 + 6 T + 71 T^{2} )^{8}$$)($$( 1 + 2 T + 142 T^{2} - 134 T^{3} + 10530 T^{4} - 9514 T^{5} + 715822 T^{6} + 715822 T^{7} + 25411681 T^{8} )^{4}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 71 T^{2} )^{8}$$)($$( 1 - 128 T^{2} + 5041 T^{4} )^{4}$$)
$73$ ($$1 - 10 T + 73 T^{2}$$)($$1 + 2 T + 73 T^{2}$$)($$1 + 10 T + 73 T^{2}$$)($$1 + 14 T + 73 T^{2}$$)($$1 + 16 T + 73 T^{2}$$)($$1 - 4 T + 73 T^{2}$$)($$1 - 16 T + 73 T^{2}$$)($$1 + 4 T + 73 T^{2}$$)($$1 - 10 T + 73 T^{2}$$)($$1 + 10 T + 73 T^{2}$$)($$( 1 + 140 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 73 T^{2} )^{4}$$)($$( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 140 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 73 T^{2} )^{8}$$)($$( 1 + 6 T + 2 T^{2} + 438 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 - 6 T + 2 T^{2} - 438 T^{3} + 5329 T^{4} )^{4}$$)($$( 1 - 7 T^{2} + 5329 T^{4} )^{8}$$)($$1 - 142 T^{2} + 5329 T^{4}$$)($$1 - 46 T^{2} + 5329 T^{4}$$)($$1 + 50 T^{2} + 5329 T^{4}$$)($$( 1 - 6 T + 73 T^{2} )( 1 + 6 T + 73 T^{2} )$$)($$( 1 - 73 T^{2} )^{2}$$)($$( 1 - 140 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 - 73 T^{2} )^{4}$$)($$( 1 - 73 T^{2} )^{4}$$)($$( 1 - 73 T^{2} )^{4}$$)($$1 - 124 T^{2} + 7590 T^{4} - 660796 T^{6} + 28398241 T^{8}$$)($$1 - 124 T^{2} + 7590 T^{4} - 660796 T^{6} + 28398241 T^{8}$$)($$( 1 - 140 T^{2} + 5329 T^{4} )^{2}$$)($$( 1 + 7 T^{2} + 5329 T^{4} )^{4}$$)($$( 1 + 32 T^{2} + 5406 T^{4} + 170528 T^{6} + 28398241 T^{8} )^{2}$$)($$( 1 + 7 T^{2} + 5329 T^{4} )^{4}$$)($$( 1 - 176 T^{2} + 16702 T^{4} - 937904 T^{6} + 28398241 T^{8} )^{4}$$)($$1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4}$$)($$( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} )$$)($$1 + T - 72 T^{2} + 73 T^{3} + 5329 T^{4}$$)($$( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} )^{3}$$)($$( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} )^{3}$$)($$1 - 245 T^{2} + 34717 T^{4} - 3589250 T^{6} + 292223398 T^{8} - 19127113250 T^{10} + 985901732797 T^{12} - 37076885440805 T^{14} + 806460091894081 T^{16}$$)($$( 1 - 9502 T^{4} + 28398241 T^{8} )^{2}$$)($$( 1 - 24 T + 288 T^{2} - 1752 T^{3} + 5329 T^{4} )^{2}( 1 + 24 T + 288 T^{2} + 1752 T^{3} + 5329 T^{4} )^{2}$$)($$1 + 14144 T^{4} + 103908670 T^{8} + 401664720704 T^{12} + 806460091894081 T^{16}$$)($$1 - 5 T + 77 T^{2} - 595 T^{3} + 9604 T^{4} - 43435 T^{5} + 410333 T^{6} - 1945085 T^{7} + 28398241 T^{8}$$)($$1 + 13 T + 21 T^{2} + 299 T^{3} + 7604 T^{4} + 21827 T^{5} + 111909 T^{6} + 5057221 T^{7} + 28398241 T^{8}$$)($$1 - 10 T + 22 T^{2} + 1010 T^{3} - 10929 T^{4} - 15400 T^{5} + 1154772 T^{6} - 9097415 T^{7} - 17973908 T^{8} + 830978430 T^{9} - 2475199453 T^{10} - 43317998000 T^{11} + 524728019283 T^{12} + 542305807575 T^{13} - 40196868254648 T^{14} + 298124615860085 T^{15} + 1193982637010559 T^{16} - 27260870672492400 T^{17} + 134639253773547407 T^{18} + 1118312890334740955 T^{19} - 19373910010800583287 T^{20} + 81636840994436089715 T^{21} +$$$$71\!\cdots\!03$$$$T^{22} -$$$$10\!\cdots\!00$$$$T^{23} +$$$$33\!\cdots\!19$$$$T^{24} +$$$$61\!\cdots\!05$$$$T^{25} -$$$$60\!\cdots\!72$$$$T^{26} +$$$$59\!\cdots\!75$$$$T^{27} +$$$$42\!\cdots\!23$$$$T^{28} -$$$$25\!\cdots\!00$$$$T^{29} -$$$$10\!\cdots\!97$$$$T^{30} +$$$$26\!\cdots\!10$$$$T^{31} -$$$$41\!\cdots\!68$$$$T^{32} -$$$$15\!\cdots\!95$$$$T^{33} +$$$$14\!\cdots\!48$$$$T^{34} -$$$$13\!\cdots\!00$$$$T^{35} -$$$$71\!\cdots\!69$$$$T^{36} +$$$$47\!\cdots\!30$$$$T^{37} +$$$$76\!\cdots\!18$$$$T^{38} -$$$$25\!\cdots\!70$$$$T^{39} +$$$$18\!\cdots\!01$$$$T^{40}$$)($$( 1 + 15 T + 148 T^{2} + 1095 T^{3} + 5329 T^{4} )^{2}$$)($$( 1 + 73 T^{2} + 5329 T^{4} )^{4}$$)($$( 1 - 97 T^{2} + 5329 T^{4} )( 1 + 143 T^{2} + 5329 T^{4} )$$)($$1 + 145 T^{2} + 15696 T^{4} + 772705 T^{6} + 28398241 T^{8}$$)($$1 - 50 T^{2} - 2829 T^{4} - 266450 T^{6} + 28398241 T^{8}$$)($$( 1 + 130 T^{2} + 11571 T^{4} + 692770 T^{6} + 28398241 T^{8} )^{3}$$)($$1 - 71 T^{2} - 288 T^{4} - 378359 T^{6} + 28398241 T^{8}$$)($$1 - 71 T^{2} - 288 T^{4} - 378359 T^{6} + 28398241 T^{8}$$)($$( 1 - 1249 T^{4} + 28398241 T^{8} )( 1 + 9791 T^{4} + 28398241 T^{8} )$$)($$1 + 78 T + 3042 T^{2} + 79092 T^{3} + 1546195 T^{4} + 24359616 T^{5} + 324297090 T^{6} + 3781188906 T^{7} + 39752383773 T^{8} + 386911780068 T^{9} + 3583067122368 T^{10} + 32495729765268 T^{11} + 295688870049386 T^{12} + 2723919940533336 T^{13} + 25146783610706628 T^{14} + 227858270290367460 T^{15} + 1989925377863256890 T^{16} + 16633653731196824580 T^{17} +$$$$13\!\cdots\!12$$$$T^{18} +$$$$10\!\cdots\!12$$$$T^{19} +$$$$83\!\cdots\!26$$$$T^{20} +$$$$67\!\cdots\!24$$$$T^{21} +$$$$54\!\cdots\!52$$$$T^{22} +$$$$42\!\cdots\!96$$$$T^{23} +$$$$32\!\cdots\!13$$$$T^{24} +$$$$22\!\cdots\!78$$$$T^{25} +$$$$13\!\cdots\!10$$$$T^{26} +$$$$76\!\cdots\!32$$$$T^{27} +$$$$35\!\cdots\!95$$$$T^{28} +$$$$13\!\cdots\!36$$$$T^{29} +$$$$37\!\cdots\!78$$$$T^{30} +$$$$69\!\cdots\!46$$$$T^{31} +$$$$65\!\cdots\!61$$$$T^{32}$$)($$( 1 - 5329 T^{4} + 28398241 T^{8} )^{2}$$)($$( 1 - 5329 T^{4} + 28398241 T^{8} )^{2}$$)($$( 1 - 4 T + 8 T^{2} + 552 T^{3} - 6433 T^{4} + 40296 T^{5} + 42632 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2}$$)
$79$ ($$1 + 7 T + 79 T^{2}$$)($$1 - 13 T + 79 T^{2}$$)($$1 + 7 T + 79 T^{2}$$)($$1 - 5 T + 79 T^{2}$$)($$1 - T + 79 T^{2}$$)($$1 + 4 T + 79 T^{2}$$)($$1 - T + 79 T^{2}$$)($$1 + 4 T + 79 T^{2}$$)($$1 + 7 T + 79 T^{2}$$)($$1 + 7 T + 79 T^{2}$$)($$( 1 - 77 T^{2} + 6241 T^{4} )^{2}$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$( 1 - 8 T + 79 T^{2} )^{2}( 1 + 8 T + 79 T^{2} )^{2}$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$( 1 - 77 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2}( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2}$$)($$( 1 - 296 T^{2} + 34318 T^{4} - 1847336 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 296 T^{2} + 34318 T^{4} - 1847336 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 236 T^{2} + 25894 T^{4} - 1472876 T^{6} + 38950081 T^{8} )^{4}$$)($$( 1 + 13 T + 79 T^{2} )^{2}$$)($$( 1 - 7 T + 79 T^{2} )^{2}$$)($$( 1 + 5 T + 79 T^{2} )^{2}$$)($$( 1 + T + 79 T^{2} )^{2}$$)($$( 1 - 8 T + 79 T^{2} )( 1 + 8 T + 79 T^{2} )$$)($$( 1 - 77 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )$$)($$( 1 - 79 T^{2} )^{4}$$)($$( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$1 - 94 T^{2} + 3891 T^{4} - 586654 T^{6} + 38950081 T^{8}$$)($$( 1 - 77 T^{2} + 6241 T^{4} )^{2}$$)($$( 1 - 236 T^{2} + 25894 T^{4} - 1472876 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 296 T^{2} + 34318 T^{4} - 1847336 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 236 T^{2} + 25894 T^{4} - 1472876 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 201 T^{2} + 19484 T^{4} - 1254441 T^{6} + 38950081 T^{8} )^{4}$$)($$( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} )$$)($$( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} )$$)($$( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} )$$)($$1 - T - 118 T^{2} + 1095 T^{3} + 4153 T^{4} - 59672 T^{5} + 229567 T^{6} - 4714088 T^{7} + 25918873 T^{8} + 539877705 T^{9} - 4596109558 T^{10} - 3077056399 T^{11} + 243087455521 T^{12}$$)($$1 - T - 118 T^{2} + 1095 T^{3} + 4153 T^{4} - 59672 T^{5} + 229567 T^{6} - 4714088 T^{7} + 25918873 T^{8} + 539877705 T^{9} - 4596109558 T^{10} - 3077056399 T^{11} + 243087455521 T^{12}$$)($$( 1 + 7 T - 107 T^{2} - 14 T^{3} + 14224 T^{4} - 1106 T^{5} - 667787 T^{6} + 3451273 T^{7} + 38950081 T^{8} )^{2}$$)($$( 1 + 157 T^{2} + 18408 T^{4} + 979837 T^{6} + 38950081 T^{8} )^{2}$$)($$( 1 - 157 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 271 T^{2} + 30340 T^{4} - 1691311 T^{6} + 38950081 T^{8} )^{2}$$)($$1 + 23 T + 395 T^{2} + 4903 T^{3} + 50104 T^{4} + 387337 T^{5} + 2465195 T^{6} + 11339897 T^{7} + 38950081 T^{8}$$)($$1 - 17 T + 35 T^{2} + 623 T^{3} - 4856 T^{4} + 49217 T^{5} + 218435 T^{6} - 8381663 T^{7} + 38950081 T^{8}$$)($$1 - 10 T - 77 T^{2} + 1373 T^{3} - 1305 T^{4} - 45973 T^{5} - 283479 T^{6} + 3077519 T^{7} + 40414145 T^{8} - 607036257 T^{9} + 235692394 T^{10} + 58094577851 T^{11} - 279989217945 T^{12} - 3950918423116 T^{13} + 46220854360983 T^{14} + 196805547091218 T^{15} - 3821284249451009 T^{16} - 7611430533283232 T^{17} + 274195693237840347 T^{18} + 200813229062092103 T^{19} - 23192422432570841015 T^{20} + 15864245095905276137 T^{21} +$$$$17\!\cdots\!27$$$$T^{22} -$$$$37\!\cdots\!48$$$$T^{23} -$$$$14\!\cdots\!29$$$$T^{24} +$$$$60\!\cdots\!82$$$$T^{25} +$$$$11\!\cdots\!43$$$$T^{26} -$$$$75\!\cdots\!44$$$$T^{27} -$$$$42\!\cdots\!45$$$$T^{28} +$$$$69\!\cdots\!69$$$$T^{29} +$$$$22\!\cdots\!94$$$$T^{30} -$$$$45\!\cdots\!03$$$$T^{31} +$$$$23\!\cdots\!45$$$$T^{32} +$$$$14\!\cdots\!41$$$$T^{33} -$$$$10\!\cdots\!99$$$$T^{34} -$$$$13\!\cdots\!27$$$$T^{35} -$$$$30\!\cdots\!05$$$$T^{36} +$$$$24\!\cdots\!07$$$$T^{37} -$$$$11\!\cdots\!97$$$$T^{38} -$$$$11\!\cdots\!90$$$$T^{39} +$$$$89\!\cdots\!01$$$$T^{40}$$)($$1 + 77 T^{2} - 312 T^{4} + 480557 T^{6} + 38950081 T^{8}$$)($$( 1 + 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 13 T + 79 T^{2} )^{2}( 1 + 17 T + 79 T^{2} )^{2}$$)($$( 1 - 4 T + 79 T^{2} )^{2}( 1 + 17 T + 79 T^{2} )^{2}$$)($$( 1 - 17 T + 79 T^{2} )^{2}( 1 + 13 T + 79 T^{2} )^{2}$$)($$( 1 + T - 118 T^{2} - 1095 T^{3} + 4153 T^{4} + 59672 T^{5} + 229567 T^{6} + 4714088 T^{7} + 25918873 T^{8} - 539877705 T^{9} - 4596109558 T^{10} + 3077056399 T^{11} + 243087455521 T^{12} )^{2}$$)($$1 + 77 T^{2} - 312 T^{4} + 480557 T^{6} + 38950081 T^{8}$$)($$1 + 77 T^{2} - 312 T^{4} + 480557 T^{6} + 38950081 T^{8}$$)($$( 1 - 38 T^{2} - 4797 T^{4} - 237158 T^{6} + 38950081 T^{8} )^{2}$$)($$1 + 362 T^{2} + 68287 T^{4} + 8591326 T^{6} + 767859845 T^{8} + 43076830748 T^{10} + 311275884890 T^{12} - 225684077954216 T^{14} - 26016234382787702 T^{16} - 1408494330512262056 T^{18} + 12124220929812176090 T^{20} +$$$$10\!\cdots\!08$$$$T^{22} +$$$$11\!\cdots\!45$$$$T^{24} +$$$$81\!\cdots\!26$$$$T^{26} +$$$$40\!\cdots\!67$$$$T^{28} +$$$$13\!\cdots\!22$$$$T^{30} +$$$$23\!\cdots\!21$$$$T^{32}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 79 T^{2} + 6241 T^{4} )^{4}$$)($$( 1 - 144 T^{2} + 14495 T^{4} - 898704 T^{6} + 38950081 T^{8} )^{2}$$)
$83$ ($$1 + 12 T + 83 T^{2}$$)($$1 - 4 T + 83 T^{2}$$)($$1 - 12 T + 83 T^{2}$$)($$1 - 12 T + 83 T^{2}$$)($$1 + 10 T + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 - 10 T + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 + 12 T + 83 T^{2}$$)($$1 - 12 T + 83 T^{2}$$)($$( 1 - 160 T^{2} + 6889 T^{4} )^{2}$$)($$1 - 20 T^{2} + 6966 T^{4} - 137780 T^{6} + 47458321 T^{8}$$)($$1 - 20 T^{2} + 6966 T^{4} - 137780 T^{6} + 47458321 T^{8}$$)($$( 1 - 83 T^{2} )^{4}$$)($$1 - 20 T^{2} + 6966 T^{4} - 137780 T^{6} + 47458321 T^{8}$$)($$1 - 20 T^{2} + 6966 T^{4} - 137780 T^{6} + 47458321 T^{8}$$)($$( 1 - 160 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 83 T^{2} )^{8}$$)($$( 1 - 322 T^{2} + 39682 T^{4} - 2218258 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 322 T^{2} + 39682 T^{4} - 2218258 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 322 T^{2} + 39691 T^{4} - 2218258 T^{6} + 47458321 T^{8} )^{4}$$)($$1 - 150 T^{2} + 6889 T^{4}$$)($$1 - 22 T^{2} + 6889 T^{4}$$)($$1 - 22 T^{2} + 6889 T^{4}$$)($$1 - 66 T^{2} + 6889 T^{4}$$)($$( 1 + 83 T^{2} )^{2}$$)($$( 1 + 160 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 + 76 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 83 T^{2} )^{4}$$)($$( 1 + 24 T + 298 T^{2} + 1992 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 - 24 T + 298 T^{2} - 1992 T^{3} + 6889 T^{4} )^{2}$$)($$( 1 + 160 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 322 T^{2} + 39691 T^{4} + 2218258 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 322 T^{2} + 39682 T^{4} + 2218258 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 322 T^{2} + 39691 T^{4} + 2218258 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 + 162 T^{2} + 15426 T^{4} + 1116018 T^{6} + 47458321 T^{8} )^{4}$$)($$( 1 - T + 83 T^{2} )^{2}$$)($$( 1 + 3 T + 83 T^{2} )^{2}$$)($$( 1 + 12 T + 83 T^{2} )^{2}$$)($$( 1 - 28 T + 378 T^{2} - 3667 T^{3} + 31374 T^{4} - 192892 T^{5} + 571787 T^{6} )^{2}$$)($$( 1 + 28 T + 378 T^{2} + 3667 T^{3} + 31374 T^{4} + 192892 T^{5} + 571787 T^{6} )^{2}$$)($$( 1 + 245 T^{2} + 28656 T^{4} + 1687805 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 6382 T^{4} + 47458321 T^{8} )^{2}$$)($$( 1 + 3122 T^{4} + 47458321 T^{8} )^{2}$$)($$1 - 8400 T^{4} + 51732158 T^{8} - 398649896400 T^{12} + 2252292232139041 T^{16}$$)($$1 - 3 T - 79 T^{2} + 81 T^{3} + 6724 T^{4} + 6723 T^{5} - 544231 T^{6} - 1715361 T^{7} + 47458321 T^{8}$$)($$1 - T - 67 T^{2} + 515 T^{3} + 5516 T^{4} + 42745 T^{5} - 461563 T^{6} - 571787 T^{7} + 47458321 T^{8}$$)($$1 - 32 T + 443 T^{2} - 2795 T^{3} + 2445 T^{4} + 4617 T^{5} + 1276752 T^{6} - 10355141 T^{7} - 139522557 T^{8} + 3479012045 T^{9} - 38902388719 T^{10} + 330154008105 T^{11} - 2438525198194 T^{12} + 15107947430067 T^{13} - 106631129495384 T^{14} + 935521388856041 T^{15} - 775698466434821 T^{16} - 147234951277494935 T^{17} + 2278865633209633773 T^{18} - 17819217632825754914 T^{19} +$$$$12\!\cdots\!23$$$$T^{20} -$$$$14\!\cdots\!62$$$$T^{21} +$$$$15\!\cdots\!97$$$$T^{22} -$$$$84\!\cdots\!45$$$$T^{23} -$$$$36\!\cdots\!41$$$$T^{24} +$$$$36\!\cdots\!63$$$$T^{25} -$$$$34\!\cdots\!96$$$$T^{26} +$$$$40\!\cdots\!09$$$$T^{27} -$$$$54\!\cdots\!54$$$$T^{28} +$$$$61\!\cdots\!15$$$$T^{29} -$$$$60\!\cdots\!31$$$$T^{30} +$$$$44\!\cdots\!15$$$$T^{31} -$$$$14\!\cdots\!77$$$$T^{32} -$$$$91\!\cdots\!83$$$$T^{33} +$$$$94\!\cdots\!08$$$$T^{34} +$$$$28\!\cdots\!19$$$$T^{35} +$$$$12\!\cdots\!45$$$$T^{36} -$$$$11\!\cdots\!85$$$$T^{37} +$$$$15\!\cdots\!87$$$$T^{38} -$$$$92\!\cdots\!04$$$$T^{39} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$( 1 - 26 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 76 T^{2} - 1113 T^{4} - 523564 T^{6} + 47458321 T^{8} )^{2}$$)($$( 1 - 157 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 22 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 - 165 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 28 T^{2} + 280 T^{4} - 613477 T^{6} + 1928920 T^{8} + 1328832988 T^{10} + 326940373369 T^{12} )^{2}$$)($$( 1 + 26 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 26 T^{2} + 6889 T^{4} )^{2}$$)($$( 1 + 10871 T^{4} + 47458321 T^{8} )^{2}$$)($$1 + 15582 T^{4} + 51557713 T^{8} - 713327534370 T^{12} - 8636328770393340 T^{16} - 33853327104269992770 T^{20} +$$$$11\!\cdots\!33$$$$T^{24} +$$$$16\!\cdots\!02$$$$T^{28} +$$$$50\!\cdots\!81$$$$T^{32}$$)($$( 1 + 22 T + 242 T^{2} + 1672 T^{3} + 11503 T^{4} + 138776 T^{5} + 1667138 T^{6} + 12579314 T^{7} + 47458321 T^{8} )^{2}$$)($$( 1 - 22 T + 242 T^{2} - 1672 T^{3} + 11503 T^{4} - 138776 T^{5} + 1667138 T^{6} - 12579314 T^{7} + 47458321 T^{8} )^{2}$$)($$( 1 + 11503 T^{4} + 47458321 T^{8} )^{2}$$)
$89$ ($$1 - 8 T + 89 T^{2}$$)($$1 - 4 T + 89 T^{2}$$)($$1 + 12 T + 89 T^{2}$$)($$1 - 12 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$1 + 10 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$1 + 10 T + 89 T^{2}$$)($$1 + 12 T + 89 T^{2}$$)($$1 - 8 T + 89 T^{2}$$)($$( 1 - 172 T^{2} + 7921 T^{4} )^{2}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$( 1 - 89 T^{2} )^{4}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$( 1 - 172 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 - 89 T^{2} )^{8}$$)($$( 1 - 34 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 34 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 25 T^{2} + 7921 T^{4} )^{8}$$)($$( 1 + 4 T + 89 T^{2} )^{2}$$)($$( 1 - 12 T + 89 T^{2} )^{2}$$)($$( 1 + 12 T + 89 T^{2} )^{2}$$)($$( 1 + 10 T + 89 T^{2} )^{2}$$)($$( 1 - 89 T^{2} )^{2}$$)($$( 1 - 172 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 - 89 T^{2} )^{4}$$)($$( 1 - 6 T + 89 T^{2} )^{2}( 1 + 6 T + 89 T^{2} )^{2}$$)($$( 1 - 89 T^{2} )^{4}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$1 - 260 T^{2} + 31014 T^{4} - 2059460 T^{6} + 62742241 T^{8}$$)($$( 1 - 172 T^{2} + 7921 T^{4} )^{2}$$)($$( 1 - 25 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 34 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 25 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 - 170 T^{2} + 7921 T^{4} )^{8}$$)($$1 + 13 T + 80 T^{2} + 1157 T^{3} + 7921 T^{4}$$)($$1 - 3 T - 80 T^{2} - 267 T^{3} + 7921 T^{4}$$)($$1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4}$$)($$1 - 14 T - 110 T^{2} + 610 T^{3} + 32144 T^{4} - 97124 T^{5} - 2488373 T^{6} - 8644036 T^{7} + 254612624 T^{8} + 430031090 T^{9} - 6901646510 T^{10} - 78176832286 T^{11} + 496981290961 T^{12}$$)($$1 - 14 T - 110 T^{2} + 610 T^{3} + 32144 T^{4} - 97124 T^{5} - 2488373 T^{6} - 8644036 T^{7} + 254612624 T^{8} + 430031090 T^{9} - 6901646510 T^{10} - 78176832286 T^{11} + 496981290961 T^{12}$$)($$( 1 - 7 T - 40 T^{2} - 623 T^{3} + 7921 T^{4} )^{4}$$)($$( 1 + 89 T^{2} )^{8}$$)($$( 1 + 70 T^{2} + 7921 T^{4} )^{4}$$)($$( 1 + 168 T^{2} + 14862 T^{4} + 1330728 T^{6} + 62742241 T^{8} )^{2}$$)($$1 + 3 T - 35 T^{2} + 693 T^{3} + 9604 T^{4} + 61677 T^{5} - 277235 T^{6} + 2114907 T^{7} + 62742241 T^{8}$$)($$1 - 11 T + 137 T^{2} - 1613 T^{3} + 22700 T^{4} - 143557 T^{5} + 1085177 T^{6} - 7754659 T^{7} + 62742241 T^{8}$$)($$1 - 13 T + 63 T^{2} - 907 T^{3} + 11694 T^{4} - 283521 T^{5} + 2301998 T^{6} - 7296336 T^{7} + 208022302 T^{8} - 1708035047 T^{9} + 17457911700 T^{10} - 77832388739 T^{11} - 297734863238 T^{12} - 9307673493837 T^{13} - 54900232411543 T^{14} + 1564108055355766 T^{15} - 14497500910941884 T^{16} + 151746251094813737 T^{17} - 1178362336269003702 T^{18} + 19329934998259188065 T^{19} -$$$$24\!\cdots\!77$$$$T^{20} +$$$$17\!\cdots\!85$$$$T^{21} -$$$$93\!\cdots\!42$$$$T^{22} +$$$$10\!\cdots\!53$$$$T^{23} -$$$$90\!\cdots\!44$$$$T^{24} +$$$$87\!\cdots\!34$$$$T^{25} -$$$$27\!\cdots\!23$$$$T^{26} -$$$$41\!\cdots\!73$$$$T^{27} -$$$$11\!\cdots\!78$$$$T^{28} -$$$$27\!\cdots\!51$$$$T^{29} +$$$$54\!\cdots\!00$$$$T^{30} -$$$$47\!\cdots\!83$$$$T^{31} +$$$$51\!\cdots\!42$$$$T^{32} -$$$$16\!\cdots\!84$$$$T^{33} +$$$$45\!\cdots\!18$$$$T^{34} -$$$$49\!\cdots\!29$$$$T^{35} +$$$$18\!\cdots\!34$$$$T^{36} -$$$$12\!\cdots\!03$$$$T^{37} +$$$$77\!\cdots\!03$$$$T^{38} -$$$$14\!\cdots\!17$$$$T^{39} +$$$$97\!\cdots\!01$$$$T^{40}$$)($$( 1 - 27 T + 332 T^{2} - 2403 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 6 T + 89 T^{2} )^{4}( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 15 T + 136 T^{2} - 1335 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 - 13 T + 80 T^{2} - 1157 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 14 T - 110 T^{2} - 610 T^{3} + 32144 T^{4} + 97124 T^{5} - 2488373 T^{6} + 8644036 T^{7} + 254612624 T^{8} - 430031090 T^{9} - 6901646510 T^{10} + 78176832286 T^{11} + 496981290961 T^{12} )^{2}$$)($$( 1 + 27 T + 332 T^{2} + 2403 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 27 T + 332 T^{2} + 2403 T^{3} + 7921 T^{4} )^{2}$$)($$( 1 + 65 T^{2} - 3696 T^{4} + 514865 T^{6} + 62742241 T^{8} )^{2}$$)($$1 - 528 T^{2} + 148110 T^{4} - 28812000 T^{6} + 4341779857 T^{8} - 540248815104 T^{10} + 58322300299182 T^{12} - 5701133868311568 T^{14} + 521408033078008356 T^{16} - 45158681370895930128 T^{18} +$$$$36\!\cdots\!62$$$$T^{20} -$$$$26\!\cdots\!44$$$$T^{22} +$$$$17\!\cdots\!17$$$$T^{24} -$$$$89\!\cdots\!00$$$$T^{26} +$$$$36\!\cdots\!10$$$$T^{28} -$$$$10\!\cdots\!48$$$$T^{30} +$$$$15\!\cdots\!61$$$$T^{32}$$)($$( 1 - 142 T^{2} + 7921 T^{4} )^{2}( 1 + 142 T^{2} + 12243 T^{4} + 1124782 T^{6} + 62742241 T^{8} )$$)($$( 1 - 142 T^{2} + 7921 T^{4} )^{2}( 1 + 142 T^{2} + 12243 T^{4} + 1124782 T^{6} + 62742241 T^{8} )$$)($$( 1 + 169 T^{2} + 20640 T^{4} + 1338649 T^{6} + 62742241 T^{8} )^{2}$$)
$97$ ($$1 + 3 T + 97 T^{2}$$)($$1 - 13 T + 97 T^{2}$$)($$1 - 8 T + 97 T^{2}$$)($$1 + 17 T + 97 T^{2}$$)($$1 - 2 T + 97 T^{2}$$)($$1 - 12 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 12 T + 97 T^{2}$$)($$1 + 8 T + 97 T^{2}$$)($$1 - 3 T + 97 T^{2}$$)($$( 1 + 140 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 6 T + 95 T^{2} + 582 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 - 6 T + 95 T^{2} - 582 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 97 T^{2} )^{4}$$)($$( 1 - 6 T + 95 T^{2} - 582 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 6 T + 95 T^{2} + 582 T^{3} + 9409 T^{4} )^{2}$$)($$( 1 + 140 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 + 97 T^{2} )^{8}$$)($$( 1 - 6 T + 186 T^{2} - 582 T^{3} + 9409 T^{4} )^{4}$$)($$( 1 + 6 T + 186 T^{2} + 582 T^{3} + 9409 T^{4} )^{4}$$)($$( 1 + 126 T^{2} + 9409 T^{4} )^{8}$$)($$1 - 25 T^{2} + 9409 T^{4}$$)($$( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} )$$)($$1 + 95 T^{2} + 9409 T^{4}$$)($$1 - 190 T^{2} + 9409 T^{4}$$)($$( 1 - 97 T^{2} )^{2}$$)($$( 1 - 140 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{4}$$)($$( 1 - 97 T^{2} )^{4}$$)($$( 1 - 97 T^{2} )^{4}$$)($$1 - 154 T^{2} + 20859 T^{4} - 1448986 T^{6} + 88529281 T^{8}$$)($$1 - 154 T^{2} + 20859 T^{4} - 1448986 T^{6} + 88529281 T^{8}$$)($$( 1 - 140 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 126 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 336 T^{2} + 46430 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{2}$$)($$( 1 - 126 T^{2} + 9409 T^{4} )^{4}$$)($$( 1 - 127 T^{2} + 14244 T^{4} - 1194943 T^{6} + 88529281 T^{8} )^{4}$$)($$( 1 - 10 T + 97 T^{2} )^{2}$$)($$( 1 - 10 T + 97 T^{2} )^{2}$$)($$( 1 - 10 T + 97 T^{2} )^{2}$$)($$( 1 - 15 T + 273 T^{2} - 2905 T^{3} + 26481 T^{4} - 141135 T^{5} + 912673 T^{6} )^{2}$$)($$( 1 + 15 T + 273 T^{2} + 2905 T^{3} + 26481 T^{4} + 141135 T^{5} + 912673 T^{6} )^{2}$$)($$( 1 + 146 T^{2} + 9409 T^{4} )^{4}$$)($$1 - 3383 T^{4} - 77084592 T^{8} - 299494557623 T^{12} + 7837433594376961 T^{16}$$)($$( 1 - 18814 T^{4} + 88529281 T^{8} )^{2}$$)($$1 + 16837 T^{4} + 160234548 T^{8} + 1490567504197 T^{12} + 7837433594376961 T^{16}$$)($$1 + 13 T - 3 T^{2} + 275 T^{3} + 12116 T^{4} + 26675 T^{5} - 28227 T^{6} + 11864749 T^{7} + 88529281 T^{8}$$)($$1 + 23 T + 377 T^{2} + 5065 T^{3} + 59356 T^{4} + 491305 T^{5} + 3547193 T^{6} + 20991479 T^{7} + 88529281 T^{8}$$)($$1 - 52 T + 1172 T^{2} - 14100 T^{3} + 80653 T^{4} + 109416 T^{5} - 6704628 T^{6} + 105027499 T^{7} - 1532048259 T^{8} + 17219612329 T^{9} - 129977065678 T^{10} + 565619590213 T^{11} + 1788336151169 T^{12} - 81565908730048 T^{13} + 1053110979898557 T^{14} - 7848981685301063 T^{15} + 41011151174754312 T^{16} - 242933277916662150 T^{17} + 1485538521881650642 T^{18} + 854358765948281566 T^{19} - 97093359729172728077 T^{20} + 82872800296983311902 T^{21} +$$$$13\!\cdots\!78$$$$T^{22} -$$$$22\!\cdots\!50$$$$T^{23} +$$$$36\!\cdots\!72$$$$T^{24} -$$$$67\!\cdots\!91$$$$T^{25} +$$$$87\!\cdots\!53$$$$T^{26} -$$$$65\!\cdots\!24$$$$T^{27} +$$$$14\!\cdots\!09$$$$T^{28} +$$$$43\!\cdots\!21$$$$T^{29} -$$$$95\!\cdots\!22$$$$T^{30} +$$$$12\!\cdots\!37$$$$T^{31} -$$$$10\!\cdots\!19$$$$T^{32} +$$$$70\!\cdots\!23$$$$T^{33} -$$$$43\!\cdots\!32$$$$T^{34} +$$$$69\!\cdots\!88$$$$T^{35} +$$$$49\!\cdots\!13$$$$T^{36} -$$$$84\!\cdots\!00$$$$T^{37} +$$$$67\!\cdots\!08$$$$T^{38} -$$$$29\!\cdots\!16$$$$T^{39} +$$$$54\!\cdots\!01$$$$T^{40}$$)($$( 1 + 106 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 97 T^{2} )^{8}$$)($$( 1 - 94 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 94 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 94 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 321 T^{2} + 40341 T^{4} - 3610897 T^{6} + 379568469 T^{8} - 28417899201 T^{10} + 832972004929 T^{12} )^{2}$$)($$( 1 - 106 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 106 T^{2} + 9409 T^{4} )^{2}$$)($$( 1 - 144 T^{2} + 9409 T^{4} )^{2}( 1 + 144 T^{2} + 9409 T^{4} )^{2}$$)($$1 + 3704 T^{4} + 114761500 T^{8} - 183344466616 T^{12} + 7721327657662534 T^{16} - 16231353804842983096 T^{20} +$$$$89\!\cdots\!00$$$$T^{24} +$$$$25\!\cdots\!64$$$$T^{28} +$$$$61\!\cdots\!21$$$$T^{32}$$)($$( 1 + 9409 T^{4} )^{4}$$)($$( 1 + 9409 T^{4} )^{4}$$)($$( 1 - 18 T + 162 T^{2} - 1746 T^{3} + 9409 T^{4} )^{4}$$)