Properties

Label 504.2
Level 504
Weight 2
Dimension 2860
Nonzero newspaces 30
Newform subspaces 81
Sturm bound 27648
Trace bound 25

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Defining parameters

Level: \( N \) = \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 30 \)
Newform subspaces: \( 81 \)
Sturm bound: \(27648\)
Trace bound: \(25\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(504))\).

Total New Old
Modular forms 7488 3040 4448
Cusp forms 6337 2860 3477
Eisenstein series 1151 180 971

Trace form

\( 2860q - 14q^{2} - 18q^{3} - 14q^{4} - 8q^{5} - 8q^{6} - 16q^{7} - 8q^{8} - 30q^{9} + O(q^{10}) \) \( 2860q - 14q^{2} - 18q^{3} - 14q^{4} - 8q^{5} - 8q^{6} - 16q^{7} - 8q^{8} - 30q^{9} - 6q^{10} + 10q^{11} + 4q^{12} - 2q^{13} - 4q^{14} + 2q^{16} - 2q^{17} - 24q^{18} - 10q^{19} - 20q^{20} + 12q^{21} - 34q^{22} + 36q^{23} - 72q^{24} - 2q^{25} - 44q^{26} - 24q^{27} - 14q^{28} - 12q^{29} - 116q^{30} + 56q^{31} - 64q^{32} - 10q^{33} + 46q^{34} + 18q^{35} - 148q^{36} + 30q^{37} - 76q^{38} - 60q^{39} - 8q^{40} + 46q^{41} - 74q^{42} - 38q^{43} - 126q^{44} + 44q^{45} - 116q^{46} - 12q^{47} - 64q^{48} + 56q^{49} - 134q^{50} - 6q^{51} - 20q^{52} + 82q^{53} - 24q^{54} + 32q^{55} - 28q^{56} - 38q^{57} - 28q^{58} + 16q^{59} + 72q^{60} + 16q^{61} + 56q^{62} - 56q^{63} - 110q^{64} + 32q^{65} + 112q^{66} + 26q^{67} + 30q^{68} - 80q^{69} - 140q^{70} - 160q^{71} + 48q^{72} - 102q^{73} - 50q^{74} - 230q^{75} - 166q^{76} - 138q^{77} - 68q^{78} - 160q^{79} - 168q^{80} - 106q^{81} - 310q^{82} - 286q^{83} - 176q^{84} - 160q^{85} - 242q^{86} - 168q^{87} - 262q^{88} - 146q^{89} - 224q^{90} - 258q^{91} - 402q^{92} - 52q^{93} - 318q^{94} - 368q^{95} - 288q^{96} - 114q^{97} - 326q^{98} - 180q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(504))\)

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
504.2.a \(\chi_{504}(1, \cdot)\) 504.2.a.a 1 1
504.2.a.b 1
504.2.a.c 1
504.2.a.d 1
504.2.a.e 1
504.2.a.f 1
504.2.a.g 1
504.2.a.h 1
504.2.b \(\chi_{504}(55, \cdot)\) None 0 1
504.2.c \(\chi_{504}(253, \cdot)\) 504.2.c.a 2 1
504.2.c.b 4
504.2.c.c 4
504.2.c.d 4
504.2.c.e 8
504.2.c.f 8
504.2.h \(\chi_{504}(71, \cdot)\) None 0 1
504.2.i \(\chi_{504}(125, \cdot)\) 504.2.i.a 8 1
504.2.i.b 24
504.2.j \(\chi_{504}(323, \cdot)\) 504.2.j.a 24 1
504.2.k \(\chi_{504}(377, \cdot)\) 504.2.k.a 8 1
504.2.p \(\chi_{504}(307, \cdot)\) 504.2.p.a 2 1
504.2.p.b 4
504.2.p.c 4
504.2.p.d 4
504.2.p.e 4
504.2.p.f 4
504.2.p.g 16
504.2.q \(\chi_{504}(25, \cdot)\) 504.2.q.a 2 2
504.2.q.b 2
504.2.q.c 22
504.2.q.d 22
504.2.r \(\chi_{504}(169, \cdot)\) 504.2.r.a 2 2
504.2.r.b 2
504.2.r.c 6
504.2.r.d 8
504.2.r.e 8
504.2.r.f 10
504.2.s \(\chi_{504}(289, \cdot)\) 504.2.s.a 2 2
504.2.s.b 2
504.2.s.c 2
504.2.s.d 2
504.2.s.e 2
504.2.s.f 2
504.2.s.g 2
504.2.s.h 2
504.2.s.i 4
504.2.t \(\chi_{504}(193, \cdot)\) 504.2.t.a 2 2
504.2.t.b 2
504.2.t.c 22
504.2.t.d 22
504.2.w \(\chi_{504}(205, \cdot)\) 504.2.w.a 184 2
504.2.x \(\chi_{504}(31, \cdot)\) None 0 2
504.2.y \(\chi_{504}(173, \cdot)\) 504.2.y.a 184 2
504.2.z \(\chi_{504}(95, \cdot)\) None 0 2
504.2.be \(\chi_{504}(139, \cdot)\) 504.2.be.a 184 2
504.2.bf \(\chi_{504}(115, \cdot)\) 504.2.bf.a 4 2
504.2.bf.b 180
504.2.bk \(\chi_{504}(19, \cdot)\) 504.2.bk.a 12 2
504.2.bk.b 32
504.2.bk.c 32
504.2.bl \(\chi_{504}(17, \cdot)\) 504.2.bl.a 16 2
504.2.bm \(\chi_{504}(107, \cdot)\) 504.2.bm.a 8 2
504.2.bm.b 8
504.2.bm.c 48
504.2.br \(\chi_{504}(155, \cdot)\) 504.2.br.a 144 2
504.2.bs \(\chi_{504}(257, \cdot)\) 504.2.bs.a 48 2
504.2.bt \(\chi_{504}(11, \cdot)\) 504.2.bt.a 184 2
504.2.bu \(\chi_{504}(41, \cdot)\) 504.2.bu.a 48 2
504.2.bz \(\chi_{504}(239, \cdot)\) None 0 2
504.2.ca \(\chi_{504}(5, \cdot)\) 504.2.ca.a 184 2
504.2.cb \(\chi_{504}(23, \cdot)\) None 0 2
504.2.cc \(\chi_{504}(293, \cdot)\) 504.2.cc.a 16 2
504.2.cc.b 168
504.2.ch \(\chi_{504}(269, \cdot)\) 504.2.ch.a 8 2
504.2.ch.b 56
504.2.ci \(\chi_{504}(359, \cdot)\) None 0 2
504.2.cj \(\chi_{504}(37, \cdot)\) 504.2.cj.a 8 2
504.2.cj.b 8
504.2.cj.c 12
504.2.cj.d 16
504.2.cj.e 32
504.2.ck \(\chi_{504}(199, \cdot)\) None 0 2
504.2.cp \(\chi_{504}(223, \cdot)\) None 0 2
504.2.cq \(\chi_{504}(277, \cdot)\) 504.2.cq.a 184 2
504.2.cr \(\chi_{504}(103, \cdot)\) None 0 2
504.2.cs \(\chi_{504}(85, \cdot)\) 504.2.cs.a 72 2
504.2.cs.b 72
504.2.cx \(\chi_{504}(185, \cdot)\) 504.2.cx.a 48 2
504.2.cy \(\chi_{504}(347, \cdot)\) 504.2.cy.a 184 2
504.2.cz \(\chi_{504}(187, \cdot)\) 504.2.cz.a 4 2
504.2.cz.b 180

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(504))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(504)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - T - 2 T^{3} + 4 T^{4} \))(\( 1 - T^{2} - 2 T^{4} - 4 T^{6} + 16 T^{8} \))(\( 1 - T^{2} - 2 T^{3} + 2 T^{4} - 4 T^{5} - 4 T^{6} + 16 T^{8} \))(\( 1 + T^{4} + 16 T^{8} \))(\( 1 + T + 2 T^{2} \))(\( ( 1 + 2 T + 2 T^{2} )^{2} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( ( 1 - 2 T + 2 T^{2} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} )^{2} \))(\( ( 1 + T - 2 T^{3} - 4 T^{4} - 4 T^{5} + 8 T^{7} + 16 T^{8} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} )^{2} \))(\( ( 1 - 2 T^{3} + 8 T^{6} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{4} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{2} \))(\( 1 - T^{2} - 3 T^{4} - 4 T^{6} + 16 T^{8} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{4} + 4 T^{5} - 4 T^{6} + 8 T^{7} - 16 T^{8} + 32 T^{10} - 64 T^{11} + 64 T^{12} \))(\( 1 + 4 T^{2} + 6 T^{4} + 8 T^{6} + 20 T^{8} + 32 T^{10} + 96 T^{12} + 256 T^{14} + 256 T^{16} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))
$3$ (\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 9 T^{3} + 27 T^{6} \))(\( 1 + 4 T + 3 T^{2} - 11 T^{3} - 32 T^{4} - 33 T^{5} + 27 T^{6} + 108 T^{7} + 81 T^{8} \))(\( 1 + T + T^{2} - 3 T^{3} + 3 T^{4} - 9 T^{5} + 9 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 + 3 T^{3} + 3 T^{4} - 18 T^{5} + 9 T^{6} + 27 T^{7} + 243 T^{10} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 - 10 T^{4} + 81 T^{8} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} )^{2} \))
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 - 8 T^{2} + 25 T^{4} \))(\( 1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 6 T^{2} + 42 T^{4} - 150 T^{6} + 625 T^{8} \))(\( ( 1 - 6 T^{2} + 18 T^{4} - 150 T^{6} + 625 T^{8} )^{2} \))(\( 1 - 8 T^{2} + 16 T^{4} - 168 T^{6} + 1694 T^{8} - 4200 T^{10} + 10000 T^{12} - 125000 T^{14} + 390625 T^{16} \))(\( ( 1 - 5 T^{2} )^{8} \))(\( ( 1 + 4 T^{2} + 22 T^{4} + 100 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 5 T^{2} )^{4} \))(\( ( 1 + 5 T^{2} )^{4} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} + 140 T^{4} + 832 T^{6} + 4326 T^{8} + 20800 T^{10} + 87500 T^{12} + 250000 T^{14} + 390625 T^{16} )^{2} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 3 T - 6 T^{2} + 13 T^{3} + 63 T^{4} - 60 T^{5} - 259 T^{6} - 300 T^{7} + 1575 T^{8} + 1625 T^{9} - 3750 T^{10} - 9375 T^{11} + 15625 T^{12} \))(\( 1 - 4 T + 5 T^{2} + 18 T^{3} - 94 T^{4} + 232 T^{5} - 110 T^{6} - 1011 T^{7} + 3826 T^{8} - 5055 T^{9} - 2750 T^{10} + 29000 T^{11} - 58750 T^{12} + 56250 T^{13} + 78125 T^{14} - 312500 T^{15} + 390625 T^{16} \))(\( 1 + 3 T - 3 T^{2} - 36 T^{3} - 32 T^{4} + 204 T^{5} + 540 T^{6} - 597 T^{7} - 3831 T^{8} - 2985 T^{9} + 13500 T^{10} + 25500 T^{11} - 20000 T^{12} - 112500 T^{13} - 46875 T^{14} + 234375 T^{15} + 390625 T^{16} \))(\( 1 + 3 T - 3 T^{2} - 16 T^{3} - 25 T^{4} - 63 T^{5} - 19 T^{6} + 277 T^{7} + 775 T^{8} + 451 T^{9} - 1814 T^{10} + 2255 T^{11} + 19375 T^{12} + 34625 T^{13} - 11875 T^{14} - 196875 T^{15} - 390625 T^{16} - 1250000 T^{17} - 1171875 T^{18} + 5859375 T^{19} + 9765625 T^{20} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + T + 5 T^{2} )^{2}( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} ) \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 - 7 T^{2} + 24 T^{4} - 175 T^{6} + 625 T^{8} \))(\( 1 - 15 T^{2} + 99 T^{4} - 412 T^{6} + 1641 T^{8} - 7989 T^{10} + 39846 T^{12} - 199725 T^{14} + 1025625 T^{16} - 6437500 T^{18} + 38671875 T^{20} - 146484375 T^{22} + 244140625 T^{24} \))(\( 1 - 26 T^{2} + 343 T^{4} - 3142 T^{6} + 22997 T^{8} - 145796 T^{10} + 840842 T^{12} - 4532272 T^{14} + 23186506 T^{16} - 113306800 T^{18} + 525526250 T^{20} - 2278062500 T^{22} + 8983203125 T^{24} - 30683593750 T^{26} + 83740234375 T^{28} - 158691406250 T^{30} + 152587890625 T^{32} \))(\( ( 1 - 2 T + T^{2} + 14 T^{3} - 36 T^{4} + 70 T^{5} + 25 T^{6} - 250 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 + 2 T + T^{2} - 14 T^{3} - 36 T^{4} - 70 T^{5} + 25 T^{6} + 250 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 + 22 T^{4} + 625 T^{8} )^{2}( 1 - 22 T^{4} - 141 T^{8} - 13750 T^{12} + 390625 T^{16} ) \))(\( ( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} )^{2}( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 5 T^{2} )^{4}( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{2}( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} ) \))(\( 1 + 17 T^{2} + 147 T^{4} + 788 T^{6} + 2793 T^{8} + 5371 T^{10} + 7494 T^{12} + 134275 T^{14} + 1745625 T^{16} + 12312500 T^{18} + 57421875 T^{20} + 166015625 T^{22} + 244140625 T^{24} \))(\( ( 1 + 12 T^{2} + 66 T^{4} + 336 T^{6} + 1859 T^{8} + 8400 T^{10} + 41250 T^{12} + 187500 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 + 7 T^{2} + 25 T^{4} )^{2} \))
$7$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( ( 1 - 4 T + 10 T^{2} - 28 T^{3} + 49 T^{4} )^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( ( 1 + 7 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 + 4 T^{2} + 68 T^{4} + 572 T^{6} + 3382 T^{8} + 28028 T^{10} + 163268 T^{12} + 470596 T^{14} + 5764801 T^{16} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{5} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 + 6 T^{2} - 33 T^{4} - 700 T^{6} - 1617 T^{8} + 14406 T^{10} + 117649 T^{12} \))(\( ( 1 + 4 T - 4 T^{3} + 29 T^{4} - 28 T^{5} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( ( 1 + 7 T^{2} + 49 T^{4} )^{4} \))(\( ( 1 - 5 T + 7 T^{2} )^{4} \))(\( ( 1 + T + 7 T^{2} )^{4} \))(\( ( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 2 T + 5 T^{2} + 32 T^{3} + 35 T^{4} + 98 T^{5} + 343 T^{6} )^{2} \))(\( ( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} )^{4} \))(\( 1 + 11 T^{2} + 49 T^{4} \))
$11$ (\( 1 + 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( ( 1 - 6 T + 11 T^{2} )( 1 + 6 T + 11 T^{2} ) \))(\( 1 - 20 T^{2} + 234 T^{4} - 2420 T^{6} + 14641 T^{8} \))(\( ( 1 - 20 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 24 T^{2} + 318 T^{4} - 2904 T^{6} + 14641 T^{8} \))(\( ( 1 - 18 T^{2} + 282 T^{4} - 2178 T^{6} + 14641 T^{8} )^{2} \))(\( 1 - 24 T^{2} + 592 T^{4} - 8312 T^{6} + 114206 T^{8} - 1005752 T^{10} + 8667472 T^{12} - 42517464 T^{14} + 214358881 T^{16} \))(\( ( 1 - 206 T^{4} + 14641 T^{8} )^{2} \))(\( ( 1 - 32 T^{2} + 466 T^{4} - 3872 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{4} \))(\( ( 1 + 11 T^{2} )^{4} \))(\( ( 1 - 6 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{4} \))(\( ( 1 - 2 T + 20 T^{2} - 6 T^{3} + 182 T^{4} - 66 T^{5} + 2420 T^{6} - 2662 T^{7} + 14641 T^{8} )^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 24 T^{2} - 18 T^{3} + 312 T^{4} + 216 T^{5} - 3593 T^{6} + 2376 T^{7} + 37752 T^{8} - 23958 T^{9} - 351384 T^{10} + 1771561 T^{12} \))(\( 1 + 6 T + T^{2} - 24 T^{3} + 49 T^{4} - 306 T^{5} - 2153 T^{6} - 1236 T^{7} + 7063 T^{8} - 13596 T^{9} - 260513 T^{10} - 407286 T^{11} + 717409 T^{12} - 3865224 T^{13} + 1771561 T^{14} + 116923026 T^{15} + 214358881 T^{16} \))(\( 1 - 7 T - 2 T^{2} + 81 T^{3} + 203 T^{4} - 1468 T^{5} - 675 T^{6} + 3769 T^{7} + 21730 T^{8} + 41459 T^{9} - 81675 T^{10} - 1953908 T^{11} + 2972123 T^{12} + 13045131 T^{13} - 3543122 T^{14} - 136410197 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T - 6 T^{2} - 10 T^{3} + 191 T^{4} + 240 T^{5} + 1529 T^{6} - 16178 T^{7} - 5837 T^{8} + 14002 T^{9} + 502605 T^{10} + 154022 T^{11} - 706277 T^{12} - 21532918 T^{13} + 22386089 T^{14} + 38652240 T^{15} + 338368151 T^{16} - 194871710 T^{17} - 1286153286 T^{18} - 9431790764 T^{19} + 25937424601 T^{20} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + T - 10 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + T - 7 T^{2} - 14 T^{3} - 68 T^{4} - 154 T^{5} - 847 T^{6} + 1331 T^{7} + 14641 T^{8} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 3 T - 21 T^{2} + 28 T^{3} + 393 T^{4} - 153 T^{5} - 4846 T^{6} - 1683 T^{7} + 47553 T^{8} + 37268 T^{9} - 307461 T^{10} - 483153 T^{11} + 1771561 T^{12} )^{2} \))(\( 1 + 34 T^{2} + 631 T^{4} + 7742 T^{6} + 56309 T^{8} + 36244 T^{10} - 4803190 T^{12} - 80571856 T^{14} - 990277910 T^{16} - 9749194576 T^{18} - 70323504790 T^{20} + 64208456884 T^{22} + 12070334230229 T^{24} + 200807541260942 T^{26} + 1980348305710951 T^{28} + 12911494341830194 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 22 T^{2} + 193 T^{4} + 1078 T^{6} + 11476 T^{8} + 130438 T^{10} + 2825713 T^{12} + 38974342 T^{14} + 214358881 T^{16} \))(\( 1 + 22 T^{2} + 193 T^{4} + 1078 T^{6} + 11476 T^{8} + 130438 T^{10} + 2825713 T^{12} + 38974342 T^{14} + 214358881 T^{16} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{8} \))(\( ( 1 + 11 T^{2} )^{4}( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} + 168 T^{4} + 2057 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2}( 1 - 10 T^{2} - 21 T^{4} - 1210 T^{6} + 14641 T^{8} ) \))(\( 1 + 29 T^{2} + 327 T^{4} + 2696 T^{6} + 24957 T^{8} - 44693 T^{10} - 3466650 T^{12} - 5407853 T^{14} + 365395437 T^{16} + 4776128456 T^{18} + 70095354087 T^{20} + 752185313429 T^{22} + 3138428376721 T^{24} \))(\( ( 1 + 12 T^{2} - 6 T^{4} - 1104 T^{6} - 9565 T^{8} - 133584 T^{10} - 87846 T^{12} + 21258732 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 + 5 T + 11 T^{2} )^{4} \))
$13$ (\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 8 T^{2} + 169 T^{4} \))(\( 1 - 20 T^{2} + 246 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( 1 - 38 T^{2} + 682 T^{4} - 6422 T^{6} + 28561 T^{8} \))(\( ( 1 - 8 T^{2} + 190 T^{4} - 1352 T^{6} + 28561 T^{8} )^{2} \))(\( 1 - 48 T^{2} + 1340 T^{4} - 26704 T^{6} + 396198 T^{8} - 4512976 T^{10} + 38271740 T^{12} - 231686832 T^{14} + 815730721 T^{16} \))(\( ( 1 + 13 T^{2} )^{8} \))(\( ( 1 - 20 T^{2} + 310 T^{4} - 3380 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 36 T^{2} + 692 T^{4} + 12604 T^{6} + 195894 T^{8} + 2130076 T^{10} + 19764212 T^{12} + 173765124 T^{14} + 815730721 T^{16} )^{2} \))(\( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 + 3 T - 4 T^{2} + 39 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 3 T - 21 T^{2} + 60 T^{3} + 285 T^{4} - 417 T^{5} - 3202 T^{6} - 5421 T^{7} + 48165 T^{8} + 131820 T^{9} - 599781 T^{10} - 1113879 T^{11} + 4826809 T^{12} \))(\( 1 + 3 T - 16 T^{2} + 39 T^{3} + 337 T^{4} - 720 T^{5} + 2222 T^{6} + 11778 T^{7} - 44096 T^{8} + 153114 T^{9} + 375518 T^{10} - 1581840 T^{11} + 9625057 T^{12} + 14480427 T^{13} - 77228944 T^{14} + 188245551 T^{15} + 815730721 T^{16} \))(\( 1 - 3 T - 32 T^{2} + 57 T^{3} + 673 T^{4} - 432 T^{5} - 11810 T^{6} + 2142 T^{7} + 166240 T^{8} + 27846 T^{9} - 1995890 T^{10} - 949104 T^{11} + 19221553 T^{12} + 21163701 T^{13} - 154457888 T^{14} - 188245551 T^{15} + 815730721 T^{16} \))(\( 1 + 3 T - 31 T^{2} - 106 T^{3} + 402 T^{4} + 1426 T^{5} - 5437 T^{6} - 15135 T^{7} + 85123 T^{8} + 101952 T^{9} - 1104756 T^{10} + 1325376 T^{11} + 14385787 T^{12} - 33251595 T^{13} - 155286157 T^{14} + 529463818 T^{15} + 1940377218 T^{16} - 6651342802 T^{17} - 25287652351 T^{18} + 31813498119 T^{19} + 137858491849 T^{20} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 6 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 18 T^{2} - 65 T^{3} + 169 T^{4} )^{2} \))(\( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 + 3 T - 4 T^{2} + 39 T^{3} + 169 T^{4} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )( 1 - T^{2} + 169 T^{4} ) \))(\( ( 1 + 42 T^{2} + 903 T^{4} + 13340 T^{6} + 152607 T^{8} + 1199562 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 22 T^{2} + 597 T^{4} - 10874 T^{6} + 145448 T^{8} - 1837706 T^{10} + 17050917 T^{12} - 106189798 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 16 T^{2} + 274 T^{4} - 2704 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 16 T^{2} + 274 T^{4} - 2704 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 310 T^{4} + 67539 T^{8} - 8853910 T^{12} + 815730721 T^{16} )^{2} \))(\( ( 1 + 4 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 13 T^{2} )^{8} \))(\( ( 1 - 13 T^{2} )^{8} \))(\( ( 1 - 46 T^{2} + 1191 T^{4} - 18804 T^{6} + 201279 T^{8} - 1313806 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 + 10 T^{2} + 235 T^{4} + 1690 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )( 1 - T^{2} + 169 T^{4} ) \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 8 T^{2} + 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{4} \))(\( ( 1 - 6 T^{2} + 218 T^{4} - 1734 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 2 T + 38 T^{2} + 70 T^{3} + 706 T^{4} + 1190 T^{5} + 10982 T^{6} + 9826 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 17 T^{2} )^{8} \))(\( ( 1 - 12 T^{2} + 582 T^{4} - 3468 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 17 T^{2} )^{2} \))(\( ( 1 - 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 - 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 72 T^{2} + 2652 T^{4} - 66024 T^{6} + 1253414 T^{8} - 19080936 T^{10} + 221497692 T^{12} - 1737904968 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 7 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 54 T^{2} - 203 T^{3} + 918 T^{4} - 1734 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 8 T + 35 T^{2} + 167 T^{3} + 886 T^{4} + 2839 T^{5} + 10115 T^{6} + 39304 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 - 3 T + 41 T^{2} - 189 T^{3} + 807 T^{4} - 3213 T^{5} + 11849 T^{6} - 14739 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 46 T^{2} - 9 T^{3} + 1261 T^{4} - 198 T^{5} + 21437 T^{6} - 2601 T^{7} + 225998 T^{8} + 1419857 T^{10} )^{2} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( ( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} )^{2} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4} \))(\( ( 1 - 3 T + 20 T^{2} - 51 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 3 T + 39 T^{2} - 108 T^{3} + 729 T^{4} - 753 T^{5} + 12014 T^{6} - 12801 T^{7} + 210681 T^{8} - 530604 T^{9} + 3257319 T^{10} - 4259571 T^{11} + 24137569 T^{12} )^{2} \))(\( 1 - 84 T^{2} + 3336 T^{4} - 99240 T^{6} + 2736514 T^{8} - 66944172 T^{10} + 1418515200 T^{12} - 27661974396 T^{14} + 497038747923 T^{16} - 7994310600444 T^{18} + 118475808019200 T^{20} - 1615869570797868 T^{22} + 19089257897900674 T^{24} - 200067234680558760 T^{26} + 1943627783398482696 T^{28} - 14143737430989678036 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 24 T^{2} + 142 T^{4} - 3456 T^{6} - 61629 T^{8} - 998784 T^{10} + 11859982 T^{12} + 579301656 T^{14} + 6975757441 T^{16} \))(\( 1 + 24 T^{2} + 142 T^{4} - 3456 T^{6} - 61629 T^{8} - 998784 T^{10} + 11859982 T^{12} + 579301656 T^{14} + 6975757441 T^{16} \))(\( ( 1 + 17 T^{2} )^{16} \))(\( ( 1 - 28 T^{2} + 495 T^{4} - 8092 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 195 T^{4} - 6358 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - T - 33 T^{2} - 8 T^{3} + 565 T^{4} + 425 T^{5} - 9946 T^{6} + 7225 T^{7} + 163285 T^{8} - 39304 T^{9} - 2756193 T^{10} - 1419857 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 - 12 T^{2} + 178 T^{4} + 7344 T^{6} - 123981 T^{8} + 2122416 T^{10} + 14866738 T^{12} - 289650828 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 3 T + 20 T^{2} - 51 T^{3} + 289 T^{4} )^{2} \))
$19$ (\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 20 T^{2} + 361 T^{4} \))(\( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} \))(\( ( 1 - 8 T + 19 T^{2} )^{2}( 1 + 8 T + 19 T^{2} )^{2} \))(\( 1 - 66 T^{2} + 1794 T^{4} - 23826 T^{6} + 130321 T^{8} \))(\( ( 1 + 558 T^{4} + 130321 T^{8} )^{2} \))(\( 1 - 64 T^{2} + 2012 T^{4} - 42432 T^{6} + 793446 T^{8} - 15317952 T^{10} + 262205852 T^{12} - 3010936384 T^{14} + 16983563041 T^{16} \))(\( ( 1 + 19 T^{2} )^{8} \))(\( ( 1 - 44 T^{2} + 1078 T^{4} - 15884 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 19 T^{2} )^{2} \))(\( ( 1 + 10 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 19 T^{2} )^{4} \))(\( ( 1 - 19 T^{2} )^{4} \))(\( ( 1 + 10 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 32 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 56 T^{2} + 1532 T^{4} - 36808 T^{6} + 804262 T^{8} - 13287688 T^{10} + 199651772 T^{12} - 2634569336 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 7 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2} \))(\( ( 1 + 9 T + 63 T^{2} + 323 T^{3} + 1197 T^{4} + 3249 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + 2 T + 55 T^{2} + 41 T^{3} + 1309 T^{4} + 779 T^{5} + 19855 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 4 T + 49 T^{2} + 193 T^{3} + 1297 T^{4} + 3667 T^{5} + 17689 T^{6} + 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - T + 42 T^{2} - 66 T^{3} + 1281 T^{4} - 1209 T^{5} + 24339 T^{6} - 23826 T^{7} + 288078 T^{8} - 130321 T^{9} + 2476099 T^{10} )^{2} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 5 T + 6 T^{2} - 95 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 5 T - 5 T^{2} + 40 T^{3} + 64 T^{4} + 760 T^{5} - 1805 T^{6} - 34295 T^{7} + 130321 T^{8} \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 3 T + 39 T^{2} + 108 T^{3} + 705 T^{4} + 2265 T^{5} + 12706 T^{6} + 43035 T^{7} + 254505 T^{8} + 740772 T^{9} + 5082519 T^{10} + 7428297 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} - 174 T^{3} + 567 T^{4} + 1140 T^{5} - 10940 T^{6} + 109212 T^{7} - 514114 T^{8} + 2075028 T^{9} - 3949340 T^{10} + 7819260 T^{11} + 73892007 T^{12} - 430841226 T^{13} + 1928881121 T^{14} - 5363230434 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 8 T + 12 T^{2} - 112 T^{3} + 1127 T^{4} - 2128 T^{5} + 4332 T^{6} - 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 8 T + 12 T^{2} - 112 T^{3} + 1127 T^{4} - 2128 T^{5} + 4332 T^{6} - 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 650 T^{4} + 292179 T^{8} + 84708650 T^{12} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 16 T^{2} - 105 T^{4} - 5776 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} )^{2}( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} + 361 T^{4} )^{4} \))(\( 1 + 53 T^{2} + 1215 T^{4} + 18608 T^{6} + 219741 T^{8} - 1587413 T^{10} - 104375754 T^{12} - 573056093 T^{14} + 28636866861 T^{16} + 875429753648 T^{18} + 20635029094815 T^{20} + 324946511663453 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 + 66 T^{2} + 2553 T^{4} + 71346 T^{6} + 1547972 T^{8} + 25755906 T^{10} + 332709513 T^{12} + 3105028146 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{2} \))
$23$ (\( 1 + 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 10 T + 68 T^{2} - 230 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 40 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 2 T + 30 T^{2} + 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 34 T^{4} + 1058 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 + 6 T + 74 T^{2} + 334 T^{3} + 2282 T^{4} + 7682 T^{5} + 39146 T^{6} + 73002 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 734 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1346 T^{4} - 25392 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )( 1 + 8 T + 23 T^{2} ) \))(\( ( 1 - 42 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 42 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 30 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 88 T^{2} + 3548 T^{4} - 96952 T^{6} + 2287782 T^{8} - 51287608 T^{10} + 992875868 T^{12} - 13027158232 T^{14} + 78310985281 T^{16} )^{2} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 2 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 12 T^{2} + 130 T^{3} - 18 T^{4} - 3282 T^{5} - 7909 T^{6} - 75486 T^{7} - 9522 T^{8} + 1581710 T^{9} + 3358092 T^{10} + 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 5 T - 28 T^{2} - 177 T^{3} - 25 T^{4} - 494 T^{5} - 12137 T^{6} + 44331 T^{7} + 708646 T^{8} + 1019613 T^{9} - 6420473 T^{10} - 6010498 T^{11} - 6996025 T^{12} - 1139232711 T^{13} - 4145004892 T^{14} + 17024127235 T^{15} + 78310985281 T^{16} \))(\( 1 - 2 T - 59 T^{2} + 192 T^{3} + 1775 T^{4} - 6170 T^{5} - 33567 T^{6} + 71510 T^{7} + 655807 T^{8} + 1644730 T^{9} - 17756943 T^{10} - 75070390 T^{11} + 496717775 T^{12} + 1235777856 T^{13} - 8734117451 T^{14} - 6809650894 T^{15} + 78310985281 T^{16} \))(\( 1 - 8 T + 9 T^{2} - 222 T^{3} + 2650 T^{4} - 9138 T^{5} + 54826 T^{6} - 441030 T^{7} + 1653286 T^{8} - 8929410 T^{9} + 60424408 T^{10} - 205376430 T^{11} + 874588294 T^{12} - 5366012010 T^{13} + 15342562666 T^{14} - 58815302334 T^{15} + 392295105850 T^{16} - 755871249234 T^{17} + 704798867529 T^{18} - 14409221291704 T^{19} + 41426511213649 T^{20} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 7 T + 26 T^{2} + 161 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - T + 23 T^{2} )^{2} \))(\( ( 1 - 5 T + 23 T^{2} )^{2} \))(\( 1 - 3 T^{2} - 520 T^{4} - 1587 T^{6} + 279841 T^{8} \))(\( 1 + 69 T^{2} + 1863 T^{4} + 44136 T^{6} + 1489365 T^{8} + 33541107 T^{10} + 591428630 T^{12} + 17743245603 T^{14} + 416785390965 T^{16} + 6533711996904 T^{18} + 145893365578503 T^{20} + 2858429273741781 T^{22} + 21914624432020321 T^{24} \))(\( 1 + 84 T^{2} + 2840 T^{4} + 59304 T^{6} + 1536034 T^{8} + 51810444 T^{10} + 1287398720 T^{12} + 22322505660 T^{14} + 403780671955 T^{16} + 11808605494140 T^{18} + 360266945203520 T^{20} + 7669805137024716 T^{22} + 120288335965115554 T^{24} + 2456757821014240296 T^{26} + 62237533386937711640 T^{28} + \)\(97\!\cdots\!56\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 4 T - 32 T^{2} + 8 T^{3} + 1407 T^{4} + 184 T^{5} - 16928 T^{6} + 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 4 T - 32 T^{2} - 8 T^{3} + 1407 T^{4} - 184 T^{5} - 16928 T^{6} - 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{8}( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 44 T^{2} + 1407 T^{4} + 23276 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} - 525 T^{4} + 1058 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 23 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 + T - 61 T^{2} - 12 T^{3} + 2381 T^{4} - 29 T^{5} - 63238 T^{6} - 667 T^{7} + 1259549 T^{8} - 146004 T^{9} - 17070301 T^{10} + 6436343 T^{11} + 148035889 T^{12} )^{2} \))(\( ( 1 - 68 T^{2} + 2418 T^{4} - 78064 T^{6} + 2140499 T^{8} - 41295856 T^{10} + 676655538 T^{12} - 10066440452 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 3 T^{2} + 529 T^{4} )^{2} \))
$29$ (\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 76 T^{2} + 2854 T^{4} - 63916 T^{6} + 707281 T^{8} \))(\( ( 1 - 64 T^{2} + 2542 T^{4} - 53824 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 16 T^{2} + 2876 T^{4} - 34928 T^{6} + 3439654 T^{8} - 29374448 T^{10} + 2034140156 T^{12} - 9517173136 T^{14} + 500246412961 T^{16} \))(\( ( 1 + 1234 T^{4} + 707281 T^{8} )^{2} \))(\( ( 1 - 80 T^{2} + 3154 T^{4} - 67280 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )( 1 + 2 T + 29 T^{2} ) \))(\( ( 1 + 6 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 10 T + 29 T^{2} )^{2}( 1 + 10 T + 29 T^{2} )^{2} \))(\( ( 1 - 164 T^{2} + 12980 T^{4} - 650812 T^{6} + 22500790 T^{8} - 547332892 T^{10} + 9180507380 T^{12} - 97551024644 T^{14} + 500246412961 T^{16} )^{2} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 2 T - 25 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 - 4 T - 13 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 3 T - 42 T^{2} + 157 T^{3} + 657 T^{4} - 1554 T^{5} - 10195 T^{6} - 45066 T^{7} + 552537 T^{8} + 3829073 T^{9} - 29705802 T^{10} - 61533447 T^{11} + 594823321 T^{12} \))(\( 1 - T - 49 T^{2} + 294 T^{3} + 1136 T^{4} - 11204 T^{5} + 49096 T^{6} + 227337 T^{7} - 2198075 T^{8} + 6592773 T^{9} + 41289736 T^{10} - 273254356 T^{11} + 803471216 T^{12} + 6030277806 T^{13} - 29146342729 T^{14} - 17249876309 T^{15} + 500246412961 T^{16} \))(\( 1 + 9 T + 13 T^{2} + 72 T^{3} + 904 T^{4} + 2970 T^{5} + 29086 T^{6} + 17613 T^{7} - 1095047 T^{8} + 510777 T^{9} + 24461326 T^{10} + 72435330 T^{11} + 639382024 T^{12} + 1476802728 T^{13} + 7732703173 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 + 9 T - 52 T^{2} - 657 T^{3} + 1944 T^{4} + 29007 T^{5} - 46389 T^{6} - 788049 T^{7} + 920775 T^{8} + 10497078 T^{9} - 9302769 T^{10} + 304415262 T^{11} + 774371775 T^{12} - 19219727061 T^{13} - 32810058309 T^{14} + 594966899043 T^{15} + 1156336536024 T^{16} - 11333168735013 T^{17} - 26012813473972 T^{18} + 130564313782821 T^{19} + 420707233300201 T^{20} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 46 T^{2} + 87 T^{3} + 841 T^{4} )^{2} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 9 T^{2} - 760 T^{4} + 7569 T^{6} + 707281 T^{8} \))(\( ( 1 - 126 T^{2} + 7623 T^{4} - 278868 T^{6} + 6410943 T^{8} - 89117406 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 82 T^{2} + 3369 T^{4} - 137570 T^{6} + 4900772 T^{8} - 115696370 T^{10} + 2382829689 T^{12} - 48775512322 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{8} \))(\( ( 1 - 3 T + 29 T^{2} )^{8} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{8} \))(\( ( 1 + 25 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 53 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 + 50 T^{2} + 1659 T^{4} + 42050 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 102 T^{2} + 4567 T^{4} - 141988 T^{6} + 3840847 T^{8} - 72142662 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 52 T^{2} + 1846 T^{4} - 43732 T^{6} + 707281 T^{8} )^{4} \))(\( 1 + 9 T^{2} - 760 T^{4} + 7569 T^{6} + 707281 T^{8} \))
$31$ (\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{4} \))(\( ( 1 - 2 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T - 2 T^{2} + 124 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 2 T + 22 T^{2} - 62 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 4 T + 80 T^{2} - 244 T^{3} + 3294 T^{4} - 7564 T^{5} + 76880 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 31 T^{2} )^{8} \))(\( ( 1 + 4 T^{2} - 122 T^{4} + 3844 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 50 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 + 50 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 68 T^{2} + 5252 T^{4} + 204988 T^{6} + 8264182 T^{8} + 196993468 T^{10} + 4850332292 T^{12} + 60350250308 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 - 9 T - 18 T^{2} + 79 T^{3} + 2367 T^{4} - 1422 T^{5} - 86865 T^{6} - 44082 T^{7} + 2274687 T^{8} + 2353489 T^{9} - 16623378 T^{10} - 257662359 T^{11} + 887503681 T^{12} \))(\( 1 - 11 T - 39 T^{2} + 356 T^{3} + 5954 T^{4} - 25902 T^{5} - 215174 T^{6} + 3835 T^{7} + 11112081 T^{8} + 118885 T^{9} - 206782214 T^{10} - 771646482 T^{11} + 5498644034 T^{12} + 10191977756 T^{13} - 34612643559 T^{14} - 302638755221 T^{15} + 852891037441 T^{16} \))(\( 1 - 3 T - 41 T^{2} + 354 T^{3} - 128 T^{4} - 9180 T^{5} + 42568 T^{6} + 75933 T^{7} - 1254023 T^{8} + 2353923 T^{9} + 40907848 T^{10} - 273481380 T^{11} - 118210688 T^{12} + 10134719454 T^{13} - 36387650921 T^{14} - 82537842333 T^{15} + 852891037441 T^{16} \))(\( 1 + 3 T - 106 T^{2} - 157 T^{3} + 6498 T^{4} + 2989 T^{5} - 283525 T^{6} + 3627 T^{7} + 9910699 T^{8} - 942522 T^{9} - 316500783 T^{10} - 29218182 T^{11} + 9524181739 T^{12} + 108051957 T^{13} - 261841291525 T^{14} + 85572532339 T^{15} + 5766998919138 T^{16} - 4319480415427 T^{17} - 90406449968746 T^{18} + 79318866482013 T^{19} + 819628286980801 T^{20} \))(\( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} \))(\( ( 1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( ( 1 + 14 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 87 T^{2} + 3867 T^{4} - 78332 T^{6} - 455595 T^{8} + 87513459 T^{10} - 3532899090 T^{12} + 84100434099 T^{14} - 420751549995 T^{16} - 69519938340092 T^{18} + 3298129641784347 T^{20} - 71307660967329687 T^{22} + 787662783788549761 T^{24} \))(\( ( 1 - 8 T + 72 T^{2} - 172 T^{3} + 1373 T^{4} - 5332 T^{5} + 69192 T^{6} - 238328 T^{7} + 923521 T^{8} )^{2}( 1 - 4 T + 48 T^{2} - 404 T^{3} + 1502 T^{4} - 12524 T^{5} + 46128 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( 1 + 102 T^{2} + 5953 T^{4} + 257958 T^{6} + 8889636 T^{8} + 247897638 T^{10} + 5497720513 T^{12} + 90525375462 T^{14} + 852891037441 T^{16} \))(\( 1 + 102 T^{2} + 5953 T^{4} + 257958 T^{6} + 8889636 T^{8} + 247897638 T^{10} + 5497720513 T^{12} + 90525375462 T^{14} + 852891037441 T^{16} \))(\( ( 1 + 31 T^{2} + 961 T^{4} )^{8} \))(\( ( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 + 10 T + 31 T^{2} )^{4}( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 5 T - 71 T^{2} + 126 T^{3} + 4725 T^{4} - 4133 T^{5} - 158330 T^{6} - 128123 T^{7} + 4540725 T^{8} + 3753666 T^{9} - 65569991 T^{10} - 143145755 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 - 10 T + 15 T^{2} - 230 T^{3} + 3164 T^{4} - 7130 T^{5} + 14415 T^{6} - 297910 T^{7} + 923521 T^{8} )^{4} \))(\( 1 - 14 T^{2} - 765 T^{4} - 13454 T^{6} + 923521 T^{8} \))
$37$ (\( 1 - 10 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T^{2} + 1369 T^{4} \))(\( 1 - 44 T^{2} + 2454 T^{4} - 60236 T^{6} + 1874161 T^{8} \))(\( ( 1 - 62 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 108 T^{2} + 5382 T^{4} - 147852 T^{6} + 1874161 T^{8} \))(\( ( 1 - 72 T^{2} + 3870 T^{4} - 98568 T^{6} + 1874161 T^{8} )^{2} \))(\( 1 - 192 T^{2} + 18716 T^{4} - 1175872 T^{6} + 51538086 T^{8} - 1609768768 T^{10} + 35076797276 T^{12} - 492619470528 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 38 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 4 T + 37 T^{2} )^{8} \))(\( ( 1 - 6 T + 37 T^{2} )( 1 + 6 T + 37 T^{2} ) \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{2}( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 232 T^{2} + 25148 T^{4} - 1670040 T^{6} + 74486502 T^{8} - 2286284760 T^{10} + 47131400828 T^{12} - 595248526888 T^{14} + 3512479453921 T^{16} )^{2} \))(\( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 15 T + 165 T^{2} + 1167 T^{3} + 6105 T^{4} + 20535 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 27 T + 412 T^{2} - 4104 T^{3} + 29436 T^{4} - 151848 T^{5} + 564028 T^{6} - 1367631 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 3 T + 140 T^{2} - 324 T^{3} + 7620 T^{4} - 11988 T^{5} + 191660 T^{6} - 151959 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 3 T + 103 T^{2} + 197 T^{3} + 6112 T^{4} + 11312 T^{5} + 226144 T^{6} + 269693 T^{7} + 5217259 T^{8} + 5622483 T^{9} + 69343957 T^{10} )^{2} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 27 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 9 T + 44 T^{2} - 333 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 53 T^{2} - 36 T^{3} + 2142 T^{4} - 1332 T^{5} - 72557 T^{6} + 151959 T^{7} + 1874161 T^{8} \))(\( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( ( 1 + 26 T^{2} + 1369 T^{4} )( 1 + 47 T^{2} + 1369 T^{4} ) \))(\( 1 + 105 T^{2} + 3339 T^{4} + 152764 T^{6} + 14203497 T^{8} + 501483003 T^{10} + 10611705558 T^{12} + 686530231107 T^{14} + 26619640141017 T^{16} + 391950629144476 T^{18} + 11728168896642219 T^{20} + 504901359103874145 T^{22} + 6582952005840035281 T^{24} \))(\( ( 1 - 2 T - 39 T^{2} + 686 T^{3} - 133 T^{4} - 26040 T^{5} + 186136 T^{6} + 542152 T^{7} - 8048970 T^{8} + 20059624 T^{9} + 254820184 T^{10} - 1319004120 T^{11} - 249263413 T^{12} + 47569954502 T^{13} - 100063329951 T^{14} - 189863754266 T^{15} + 3512479453921 T^{16} )^{2} \))(\( 1 + 40 T^{2} - 738 T^{4} - 16000 T^{6} + 1401683 T^{8} - 21904000 T^{10} - 1383130818 T^{12} + 102629056360 T^{14} + 3512479453921 T^{16} \))(\( 1 + 40 T^{2} - 738 T^{4} - 16000 T^{6} + 1401683 T^{8} - 21904000 T^{10} - 1383130818 T^{12} + 102629056360 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 37 T^{2} )^{16} \))(\( ( 1 + 8 T^{2} - 1305 T^{4} + 10952 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 14 T^{2} - 1173 T^{4} + 19166 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 37 T^{2} + 1369 T^{4} )^{4} \))(\( 1 + 161 T^{2} + 13515 T^{4} + 840428 T^{6} + 43791513 T^{8} + 2009438227 T^{10} + 80476513014 T^{12} + 2750920932763 T^{14} + 82072345795593 T^{16} + 2156308314463052 T^{18} + 47471159819742315 T^{20} + 774182083959273689 T^{22} + 6582952005840035281 T^{24} \))(\( ( 1 + 6 T^{2} - 2583 T^{4} - 714 T^{6} + 4935716 T^{8} - 977466 T^{10} - 4840957863 T^{12} + 15394358454 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 26 T^{2} + 1369 T^{4} )( 1 + 47 T^{2} + 1369 T^{4} ) \))
$41$ (\( 1 + 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 8 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 8 T + 30 T^{2} - 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 3706 T^{4} + 124394 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 2 T + 134 T^{2} - 214 T^{3} + 7618 T^{4} - 8774 T^{5} + 225254 T^{6} - 137842 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 + 84 T^{2} + 3558 T^{4} + 141204 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 41 T^{2} )^{2} \))(\( ( 1 + 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 + 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 120 T^{2} + 10204 T^{4} - 627512 T^{6} + 28679654 T^{8} - 1054847672 T^{10} + 28834065244 T^{12} - 570012508920 T^{14} + 7984925229121 T^{16} )^{2} \))(\( 1 + 7 T + 8 T^{2} + 287 T^{3} + 1681 T^{4} \))(\( 1 - 5 T - 16 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 23 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 + 7 T + 8 T^{2} + 287 T^{3} + 1681 T^{4} \))(\( 1 + 6 T - 72 T^{2} - 298 T^{3} + 4398 T^{4} + 8034 T^{5} - 177169 T^{6} + 329394 T^{7} + 7393038 T^{8} - 20538458 T^{9} - 203454792 T^{10} + 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 - 2 T - 37 T^{2} + 432 T^{3} - 841 T^{4} - 13042 T^{5} + 100489 T^{6} + 72294 T^{7} - 3776099 T^{8} + 2964054 T^{9} + 168922009 T^{10} - 898867682 T^{11} - 2376465001 T^{12} + 50049878832 T^{13} - 175753856917 T^{14} - 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 - 9 T - 36 T^{2} + 381 T^{3} + 895 T^{4} + 852 T^{5} - 99027 T^{6} - 57981 T^{7} + 4458864 T^{8} - 2377221 T^{9} - 166464387 T^{10} + 58720692 T^{11} + 2529056095 T^{12} + 44141212581 T^{13} - 171003752676 T^{14} - 1752788464929 T^{15} + 7984925229121 T^{16} \))(\( 1 + 12 T - 30 T^{2} - 790 T^{3} - 277 T^{4} + 13968 T^{5} - 140563 T^{6} - 610562 T^{7} + 9173539 T^{8} + 24360490 T^{9} - 273097535 T^{10} + 998780090 T^{11} + 15420719059 T^{12} - 42080543602 T^{13} - 397197443443 T^{14} + 1618279415568 T^{15} - 1315778874757 T^{16} - 153855876365990 T^{17} - 239547756873630 T^{18} + 3928583212727532 T^{19} + 13422659310152401 T^{20} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 34 T^{2} + 246 T^{3} + 1681 T^{4} )^{2} \))(\( 1 + 7 T + 8 T^{2} + 287 T^{3} + 1681 T^{4} \))(\( 1 - 5 T - 16 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( ( 1 - 21 T + 188 T^{2} - 861 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 102 T^{2} + 6783 T^{4} - 298852 T^{6} + 11402223 T^{8} - 288227622 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 204 T^{2} + 20760 T^{4} + 1374660 T^{6} + 65555246 T^{8} + 2310803460 T^{10} + 58662798360 T^{12} + 969021265164 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 76 T^{2} + 3654 T^{4} - 127756 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 76 T^{2} + 3654 T^{4} - 127756 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} )^{8} \))(\( ( 1 - 14 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 - 2 T + 83 T^{2} - 80 T^{3} + 3403 T^{4} - 3362 T^{5} + 68921 T^{6} )^{4} \))(\( ( 1 + 68 T^{2} + 4390 T^{4} + 114308 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 21 T + 188 T^{2} + 861 T^{3} + 1681 T^{4} )^{2} \))
$43$ (\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) \))(\( 1 - 116 T^{2} + 6294 T^{4} - 214484 T^{6} + 3418801 T^{8} \))(\( ( 1 - 8 T + 43 T^{2} )^{2}( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 152 T^{2} + 9406 T^{4} - 281048 T^{6} + 3418801 T^{8} \))(\( ( 1 - 68 T^{2} + 2230 T^{4} - 125732 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 - 168 T^{2} + 15676 T^{4} - 1026520 T^{6} + 50753126 T^{8} - 1898035480 T^{10} + 53593124476 T^{12} - 1061988992232 T^{14} + 11688200277601 T^{16} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 4 T + 18 T^{2} - 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} )^{4} \))(\( ( 1 - 2 T + 43 T^{2} )^{4} \))(\( ( 1 + 12 T + 43 T^{2} )^{4} \))(\( ( 1 - 6 T + 43 T^{2} )^{4} \))(\( ( 1 + 6 T + 43 T^{2} )^{4} \))(\( ( 1 + 2 T + 120 T^{2} + 250 T^{3} + 6782 T^{4} + 10750 T^{5} + 221880 T^{6} + 159014 T^{7} + 3418801 T^{8} )^{4} \))(\( 1 + 3 T - 34 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 57 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 + 11 T + 78 T^{2} + 473 T^{3} + 1849 T^{4} \))(\( 1 - 15 T + 42 T^{2} - 199 T^{3} + 6525 T^{4} - 24624 T^{5} - 76509 T^{6} - 1058832 T^{7} + 12064725 T^{8} - 15821893 T^{9} + 143589642 T^{10} - 2205126645 T^{11} + 6321363049 T^{12} \))(\( 1 + 11 T - 27 T^{2} - 596 T^{3} + 140 T^{4} + 2688 T^{5} - 152864 T^{6} + 330797 T^{7} + 13009029 T^{8} + 14224271 T^{9} - 282645536 T^{10} + 213714816 T^{11} + 478632140 T^{12} - 87617032028 T^{13} - 170676802323 T^{14} + 2990004722177 T^{15} + 11688200277601 T^{16} \))(\( 1 - 8 T - 73 T^{2} + 914 T^{3} + 2642 T^{4} - 51508 T^{5} + 63012 T^{6} + 1050915 T^{7} - 5977292 T^{8} + 45189345 T^{9} + 116509188 T^{10} - 4095246556 T^{11} + 9032472242 T^{12} + 134365716902 T^{13} - 461459502577 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 + 5 T - 88 T^{2} + 275 T^{3} + 6540 T^{4} - 38663 T^{5} - 127543 T^{6} + 2251353 T^{7} - 2752001 T^{8} - 27649602 T^{9} + 456453449 T^{10} - 1188932886 T^{11} - 5088449849 T^{12} + 178998322971 T^{13} - 436044135943 T^{14} - 5683787431709 T^{15} + 41341714340460 T^{16} + 74750118054425 T^{17} - 1028561624428888 T^{18} + 2512963059684215 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 + 7 T + 84 T^{2} + 301 T^{3} + 1849 T^{4} )^{2} \))(\( 1 + 3 T - 34 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( ( 1 + 9 T + 38 T^{2} + 387 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 43 T^{2} )^{12} \))(\( ( 1 - 2 T + 139 T^{2} - 134 T^{3} + 8158 T^{4} - 5762 T^{5} + 257011 T^{6} - 159014 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 - 20 T + 184 T^{2} - 860 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 - 20 T + 184 T^{2} - 860 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 43 T^{2} + 1849 T^{4} )^{8} \))(\( ( 1 - 20 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 43 T^{2} )^{8} \))(\( ( 1 - 43 T^{2} )^{8} \))(\( ( 1 - 94 T^{2} + 3543 T^{4} - 112068 T^{6} + 6551007 T^{8} - 321367294 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 50 T^{2} + 1435 T^{4} - 92450 T^{6} + 3418801 T^{8} )^{4} \))(\( ( 1 + 9 T + 38 T^{2} + 387 T^{3} + 1849 T^{4} )^{2} \))
$47$ (\( 1 + 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 - 2 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 44 T^{2} + 128 T^{3} + 3302 T^{4} + 6016 T^{5} + 97196 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 124 T^{2} + 7750 T^{4} + 273916 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 46 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 46 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 70 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 120 T^{2} + 10396 T^{4} + 591944 T^{6} + 31424966 T^{8} + 1307604296 T^{10} + 50729163676 T^{12} + 1293505839480 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 9 T - 66 T^{2} - 371 T^{3} + 7077 T^{4} + 20028 T^{5} - 269497 T^{6} + 941316 T^{7} + 15633093 T^{8} - 38518333 T^{9} - 322058946 T^{10} + 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 - 7 T - 61 T^{2} - 174 T^{3} + 5108 T^{4} + 21898 T^{5} - 62918 T^{6} - 808359 T^{7} - 1538879 T^{8} - 37992873 T^{9} - 138985862 T^{10} + 2273516054 T^{11} + 24925410548 T^{12} - 39906031218 T^{13} - 657532135069 T^{14} - 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 - 3 T - 141 T^{2} + 486 T^{3} + 11422 T^{4} - 34152 T^{5} - 635364 T^{6} + 765849 T^{7} + 30578781 T^{8} + 35994903 T^{9} - 1403519076 T^{10} - 3545763096 T^{11} + 55735716382 T^{12} + 111461673402 T^{13} - 1519869361389 T^{14} - 1519869361389 T^{15} + 23811286661761 T^{16} \))(\( 1 - 3 T - 24 T^{2} + 751 T^{3} - 2770 T^{4} - 11169 T^{5} + 300305 T^{6} - 1566601 T^{7} - 499337 T^{8} + 58566752 T^{9} - 599985995 T^{10} + 2752637344 T^{11} - 1103035433 T^{12} - 162649215623 T^{13} + 1465392602705 T^{14} - 2561554383183 T^{15} - 29858426461330 T^{16} + 380473963467713 T^{17} - 571470879882264 T^{18} - 3357391419308301 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 5 T - 22 T^{2} - 235 T^{3} + 2209 T^{4} \))(\( 1 - 10 T + 53 T^{2} - 470 T^{3} + 2209 T^{4} \))(\( 1 - T - 46 T^{2} - 47 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} )^{2} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( ( 1 + 82 T^{2} + 2209 T^{4} )^{2} \))(\( 1 - 159 T^{2} + 13131 T^{4} - 642364 T^{6} + 18269013 T^{8} - 74583429 T^{10} - 12209351154 T^{12} - 164754794661 T^{14} + 89146955624853 T^{16} - 6924179875597756 T^{18} + 312666005155583691 T^{20} - 8363262025496977791 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 200 T^{2} + 20236 T^{4} - 1289200 T^{6} + 54604010 T^{8} - 1402967000 T^{10} + 1590108464 T^{12} + 2082887856200 T^{14} - 134280636932141 T^{16} + 4601099274345800 T^{18} + 7759222059719984 T^{20} - 15122883392481143000 T^{22} + \)\(13\!\cdots\!10\)\( T^{24} - \)\(67\!\cdots\!00\)\( T^{26} + \)\(23\!\cdots\!76\)\( T^{28} - \)\(51\!\cdots\!00\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 8 T - 44 T^{2} - 112 T^{3} + 6447 T^{4} - 5264 T^{5} - 97196 T^{6} - 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 + 8 T - 44 T^{2} + 112 T^{3} + 6447 T^{4} + 5264 T^{5} - 97196 T^{6} + 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{8} \))(\( ( 1 - 40 T^{2} - 609 T^{4} - 88360 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 82 T^{2} + 4515 T^{4} - 181138 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 15 T + 57 T^{2} + 78 T^{3} + 2013 T^{4} + 1383 T^{5} - 125066 T^{6} + 65001 T^{7} + 4446717 T^{8} + 8098194 T^{9} + 278141817 T^{10} + 3440175105 T^{11} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 28 T^{2} - 3182 T^{4} - 12656 T^{6} + 9117619 T^{8} - 27957104 T^{10} - 15527144942 T^{12} + 301818029212 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 82 T^{2} + 4515 T^{4} - 181138 T^{6} + 4879681 T^{8} \))
$53$ (\( 1 - 12 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 74 T^{2} + 2809 T^{4} \))(\( ( 1 + 2 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 74 T^{2} + 2809 T^{4} )^{2} \))(\( 1 - 132 T^{2} + 8886 T^{4} - 370788 T^{6} + 7890481 T^{8} \))(\( ( 1 - 96 T^{2} + 7758 T^{4} - 269664 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 - 336 T^{2} + 52604 T^{4} - 5027376 T^{6} + 321653350 T^{8} - 14121899184 T^{10} + 415070862524 T^{12} - 7447225339344 T^{14} + 62259690411361 T^{16} \))(\( ( 1 - 5582 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 - 176 T^{2} + 13234 T^{4} - 494384 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )( 1 + 10 T + 53 T^{2} ) \))(\( ( 1 - 14 T + 53 T^{2} )^{2}( 1 + 14 T + 53 T^{2} )^{2} \))(\( ( 1 + 22 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2}( 1 + 14 T + 53 T^{2} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2}( 1 + 14 T + 53 T^{2} )^{2} \))(\( ( 1 - 260 T^{2} + 33908 T^{4} - 2877468 T^{6} + 176791542 T^{8} - 8082807612 T^{10} + 267550429748 T^{12} - 5762733893540 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 162 T^{2} + 617 T^{3} + 8586 T^{4} + 16854 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} - 197 T^{3} + 2722 T^{4} - 10441 T^{5} + 233147 T^{6} + 595508 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} - 621 T^{3} + 4704 T^{4} - 32913 T^{5} + 165731 T^{6} - 893262 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 30 T + 580 T^{2} - 7683 T^{3} + 79903 T^{4} - 646182 T^{5} + 4234859 T^{6} - 21581547 T^{7} + 86348660 T^{8} - 236714430 T^{9} + 418195493 T^{10} )^{2} \))(\( 1 + 4 T - 37 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4} \))(\( 1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 11 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 - 11 T - T^{2} - 176 T^{3} + 5662 T^{4} - 9328 T^{5} - 2809 T^{6} - 1637647 T^{7} + 7890481 T^{8} \))(\( 1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 - 15 T^{2} - 2584 T^{4} - 42135 T^{6} + 7890481 T^{8} \))(\( 1 + 105 T^{2} - 693 T^{4} - 10308 T^{6} + 39259017 T^{8} + 1185419067 T^{10} - 43539019882 T^{12} + 3329842159203 T^{14} + 309772527717177 T^{16} - 228470234517732 T^{18} - 43145965455073173 T^{20} + 18363184388378870145 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 82 T^{2} + 1819 T^{4} - 293986 T^{6} - 25475671 T^{8} - 757240268 T^{10} + 15438451790 T^{12} + 2705625303848 T^{14} + 146204406396370 T^{16} + 7600101478509032 T^{18} + 121816810518410990 T^{20} - 16783746761372742572 T^{22} - \)\(15\!\cdots\!31\)\( T^{24} - \)\(51\!\cdots\!14\)\( T^{26} + \)\(89\!\cdots\!79\)\( T^{28} + \)\(11\!\cdots\!58\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 18 T + 145 T^{2} - 1314 T^{3} + 12060 T^{4} - 69642 T^{5} + 407305 T^{6} - 2679786 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 18 T + 145 T^{2} + 1314 T^{3} + 12060 T^{4} + 69642 T^{5} + 407305 T^{6} + 2679786 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 53 T^{2} )^{16} \))(\( ( 1 - 73 T^{2} + 2520 T^{4} - 205057 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 19 T^{2} - 2448 T^{4} - 53371 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 94 T^{2} + 2809 T^{4} )^{2}( 1 - 94 T^{2} + 6027 T^{4} - 264046 T^{6} + 7890481 T^{8} ) \))(\( 1 + 161 T^{2} + 12171 T^{4} + 564332 T^{6} + 17660601 T^{8} + 173268691 T^{10} - 11132063562 T^{12} + 486711753019 T^{14} + 139350636639081 T^{16} + 12508058244650828 T^{18} + 757762691996674731 T^{20} + 28156882728847600889 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 108 T^{2} + 5442 T^{4} + 65232 T^{6} - 1941373 T^{8} + 183236688 T^{10} + 42939997602 T^{12} + 2393751001932 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 - 15 T^{2} - 2584 T^{4} - 42135 T^{6} + 7890481 T^{8} \))
$59$ (\( 1 + 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 116 T^{2} + 3481 T^{4} \))(\( 1 - 12 T^{2} - 5290 T^{4} - 41772 T^{6} + 12117361 T^{8} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 178 T^{2} + 14050 T^{4} - 619618 T^{6} + 12117361 T^{8} \))(\( ( 1 - 124 T^{2} + 8182 T^{4} - 431644 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 102 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 59 T^{2} )^{8} \))(\( ( 1 + 59 T^{2} )^{8} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( ( 1 - 70 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 106 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 59 T^{2} )^{4} \))(\( ( 1 - 70 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 112 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 264 T^{2} + 34076 T^{4} - 3023352 T^{6} + 203740198 T^{8} - 10524288312 T^{10} + 412911193436 T^{12} - 11135660881224 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 24 T^{2} + 369 T^{3} - 453 T^{4} - 5694 T^{5} + 333403 T^{6} - 335946 T^{7} - 1576893 T^{8} + 75784851 T^{9} - 290816664 T^{10} + 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T - 119 T^{2} + 1116 T^{3} + 10336 T^{4} - 79866 T^{5} - 564434 T^{6} + 2176353 T^{7} + 30131725 T^{8} + 128404827 T^{9} - 1964794754 T^{10} - 16402799214 T^{11} + 125245043296 T^{12} + 797855517684 T^{13} - 5019483503279 T^{14} - 22397863363371 T^{15} + 146830437604321 T^{16} \))(\( 1 - 10 T - 71 T^{2} + 1536 T^{3} - 346 T^{4} - 106150 T^{5} + 583014 T^{6} + 3064183 T^{7} - 49833644 T^{8} + 180786797 T^{9} + 2029471734 T^{10} - 21800980850 T^{11} - 4192606906 T^{12} + 1098123723264 T^{13} - 2994817888511 T^{14} - 24886514848190 T^{15} + 146830437604321 T^{16} \))(\( 1 - 7 T - 84 T^{2} + 891 T^{3} - 548 T^{4} - 21051 T^{5} + 190525 T^{6} - 1336983 T^{7} + 4615039 T^{8} + 49687002 T^{9} - 884146943 T^{10} + 2931533118 T^{11} + 16064950759 T^{12} - 274588231557 T^{13} + 2308660204525 T^{14} - 15049871418249 T^{15} - 23114932435268 T^{16} + 2217388472973729 T^{17} - 12333756758762964 T^{18} - 60640970730584573 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 15 T + 166 T^{2} - 885 T^{3} + 3481 T^{4} \))(\( 1 + 5 T - 34 T^{2} + 295 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 5 T - 85 T^{2} + 40 T^{3} + 7144 T^{4} + 2360 T^{5} - 295885 T^{6} - 1026895 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( ( 1 - 70 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 21 T + 309 T^{2} + 3402 T^{3} + 29601 T^{4} + 225789 T^{5} + 1760606 T^{6} + 13321551 T^{7} + 103041081 T^{8} + 698699358 T^{9} + 3744264549 T^{10} + 15013410279 T^{11} + 42180533641 T^{12} )^{2} \))(\( 1 - 322 T^{2} + 52107 T^{4} - 6104798 T^{6} + 600323513 T^{8} - 51577574244 T^{10} + 3916097487742 T^{12} - 266299877019064 T^{14} + 16439030582633874 T^{16} - 926989871903361784 T^{18} + 47452766970162888862 T^{20} - \)\(21\!\cdots\!04\)\( T^{22} + \)\(88\!\cdots\!73\)\( T^{24} - \)\(31\!\cdots\!98\)\( T^{26} + \)\(92\!\cdots\!67\)\( T^{28} - \)\(19\!\cdots\!42\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 134 T^{2} + 6705 T^{4} + 574726 T^{6} + 51962804 T^{8} + 2000621206 T^{10} + 81246905505 T^{12} + 5652191507894 T^{14} + 146830437604321 T^{16} \))(\( 1 + 134 T^{2} + 6705 T^{4} + 574726 T^{6} + 51962804 T^{8} + 2000621206 T^{10} + 81246905505 T^{12} + 5652191507894 T^{14} + 146830437604321 T^{16} \))(\( ( 1 + 1130 T^{4} - 10840461 T^{8} + 13692617930 T^{12} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 15 T + 166 T^{2} - 885 T^{3} + 3481 T^{4} )^{2}( 1 + 15 T + 166 T^{2} + 885 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 113 T^{2} + 9288 T^{4} + 393353 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2}( 1 - 10 T^{2} - 3381 T^{4} - 34810 T^{6} + 12117361 T^{8} ) \))(\( 1 + 177 T^{2} + 16739 T^{4} + 834316 T^{6} + 7372221 T^{8} - 3081613133 T^{10} - 272281952338 T^{12} - 10727095315973 T^{14} + 89331863228781 T^{16} + 35191894105224556 T^{18} + 2457794695058729219 T^{20} + 90467665334213527977 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( ( 1 + 100 T^{2} + 930 T^{4} + 210800 T^{6} + 35337539 T^{8} + 733794800 T^{10} + 11269145730 T^{12} + 4218053364100 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 12 T + 107 T^{2} + 708 T^{3} + 3481 T^{4} )^{2} \))
$61$ (\( 1 - 6 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 40 T^{2} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + 14 T + 61 T^{2} )^{2} \))(\( ( 1 + 70 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 230 T^{2} + 20650 T^{4} - 855830 T^{6} + 13845841 T^{8} \))(\( ( 1 - 200 T^{2} + 17278 T^{4} - 744200 T^{6} + 13845841 T^{8} )^{2} \))(\( 1 - 272 T^{2} + 35516 T^{4} - 3030896 T^{6} + 201654822 T^{8} - 11277964016 T^{10} + 491748888956 T^{12} - 14013541826192 T^{14} + 191707312997281 T^{16} \))(\( ( 1 + 61 T^{2} )^{8} \))(\( ( 1 - 61 T^{2} )^{8} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 14 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 94 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 68 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 324 T^{2} + 46708 T^{4} + 4167580 T^{6} + 280236854 T^{8} + 15507565180 T^{10} + 646711541428 T^{12} + 16692601292964 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 - 12 T - 48 T^{2} + 478 T^{3} + 8460 T^{4} - 30636 T^{5} - 395685 T^{6} - 1868796 T^{7} + 31479660 T^{8} + 108496918 T^{9} - 664600368 T^{10} - 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 + 7 T - 144 T^{2} - 1315 T^{3} + 11783 T^{4} + 112692 T^{5} - 470051 T^{6} - 3262925 T^{7} + 21742764 T^{8} - 199038425 T^{9} - 1749059771 T^{10} + 25578942852 T^{11} + 163145544503 T^{12} - 1110644135815 T^{13} - 7418933907984 T^{14} + 21999199852147 T^{15} + 191707312997281 T^{16} \))(\( 1 - 20 T + 161 T^{2} - 562 T^{3} - 931 T^{4} + 2180 T^{5} - 139869 T^{6} + 5694174 T^{7} - 64208639 T^{8} + 347344614 T^{9} - 520452549 T^{10} + 494818580 T^{11} - 12890477971 T^{12} - 474663121162 T^{13} + 8294780272121 T^{14} - 62854856720420 T^{15} + 191707312997281 T^{16} \))(\( 1 + 14 T - 67 T^{2} - 1032 T^{3} + 10040 T^{4} + 70122 T^{5} - 675608 T^{6} - 3001836 T^{7} + 20748698 T^{8} - 6195900 T^{9} - 1395441908 T^{10} - 377949900 T^{11} + 77205905258 T^{12} - 681359737116 T^{13} - 9354360946328 T^{14} + 59224781818722 T^{15} + 517264558584440 T^{16} - 3243310606773672 T^{17} - 12844389970817827 T^{18} + 163718045299677974 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 83 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 - 5 T - 36 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 3 T - 52 T^{2} + 183 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 83 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( ( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( ( 1 + 110 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 159 T^{2} + 7419 T^{4} - 352004 T^{6} + 54786249 T^{8} - 3286587357 T^{10} + 113418284406 T^{12} - 12229391555397 T^{14} + 758561692640409 T^{16} - 18135377856569444 T^{18} + 1422276555126827739 T^{20} - \)\(11\!\cdots\!59\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 70 T^{2} + 4306 T^{4} + 9720 T^{5} - 90560 T^{6} + 641520 T^{7} - 8009105 T^{8} + 39132720 T^{9} - 336973760 T^{10} + 2206255320 T^{11} + 59620191346 T^{12} + 3606426205270 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 + 200 T^{2} + 22846 T^{4} + 1942400 T^{6} + 131573875 T^{8} + 7227670400 T^{10} + 316322083486 T^{12} + 10304074872200 T^{14} + 191707312997281 T^{16} \))(\( 1 + 200 T^{2} + 22846 T^{4} + 1942400 T^{6} + 131573875 T^{8} + 7227670400 T^{10} + 316322083486 T^{12} + 10304074872200 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 7370 T^{4} + 13845841 T^{8} )^{2}( 1 + 7370 T^{4} + 40471059 T^{8} + 102043848170 T^{12} + 191707312997281 T^{16} ) \))(\( ( 1 - 100 T^{2} + 6279 T^{4} - 372100 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 62 T^{2} + 123 T^{4} + 230702 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 61 T^{2} + 3721 T^{4} )^{4} \))(\( 1 + 73 T^{2} - 3941 T^{4} - 121236 T^{6} + 22314201 T^{8} - 326849717 T^{10} - 131320604138 T^{12} - 1216207796957 T^{14} + 308958879088041 T^{16} - 6246124106030196 T^{18} - 755518520522284421 T^{20} + 52074032551390429873 T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 164 T^{2} + 13242 T^{4} + 1018768 T^{6} + 72505859 T^{8} + 3790835728 T^{10} + 183346626522 T^{12} + 8449341395204 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 110 T^{2} + 8379 T^{4} - 409310 T^{6} + 13845841 T^{8} \))
$67$ (\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( ( 1 - 67 T^{2} )^{2} \))(\( ( 1 - 98 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( 1 + 112 T^{2} + 8782 T^{4} + 502768 T^{6} + 20151121 T^{8} \))(\( ( 1 - 164 T^{2} + 13078 T^{4} - 736196 T^{6} + 20151121 T^{8} )^{2} \))(\( 1 - 344 T^{2} + 59996 T^{4} - 6783272 T^{6} + 536949606 T^{8} - 30450108008 T^{10} + 1208986655516 T^{12} - 31117683466136 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 4 T + 67 T^{2} )^{4}( 1 + 4 T + 67 T^{2} )^{4} \))(\( ( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 10 T + 67 T^{2} )^{4} \))(\( ( 1 + 10 T + 67 T^{2} )^{4} \))(\( ( 1 - 4 T + 67 T^{2} )^{4} \))(\( ( 1 - 10 T + 67 T^{2} )^{4} \))(\( ( 1 + 2 T + 67 T^{2} )^{4} \))(\( ( 1 + 10 T + 208 T^{2} + 1122 T^{3} + 16622 T^{4} + 75174 T^{5} + 933712 T^{6} + 3007630 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 14 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( 1 - 12 T - 12 T^{2} + 690 T^{3} - 1488 T^{4} - 2856 T^{5} - 34441 T^{6} - 191352 T^{7} - 6679632 T^{8} + 207526470 T^{9} - 241813452 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 12 T - 139 T^{2} - 1338 T^{3} + 22729 T^{4} + 133506 T^{5} - 1954153 T^{6} - 2368722 T^{7} + 170018875 T^{8} - 158704374 T^{9} - 8772192817 T^{10} + 40153665078 T^{11} + 458014829209 T^{12} - 1806467393166 T^{13} - 12573715121491 T^{14} + 72728539263876 T^{15} + 406067677556641 T^{16} \))(\( 1 - 11 T - 82 T^{2} + 689 T^{3} + 8039 T^{4} - 18292 T^{5} - 590799 T^{6} + 1428153 T^{7} + 17009218 T^{8} + 95686251 T^{9} - 2652096711 T^{10} - 5501556796 T^{11} + 161994861719 T^{12} + 930236198723 T^{13} - 7417587337858 T^{14} - 66667827658553 T^{15} + 406067677556641 T^{16} \))(\( 1 + 8 T - 142 T^{2} - 1462 T^{3} + 7779 T^{4} + 110116 T^{5} - 343663 T^{6} - 6410154 T^{7} + 10809007 T^{8} + 209041554 T^{9} + 61061861 T^{10} + 14005784118 T^{11} + 48521632423 T^{12} - 1927937147502 T^{13} - 6925194696223 T^{14} + 148670376282412 T^{15} + 703675754892651 T^{16} - 8860760366982226 T^{17} - 57661610213043022 T^{18} + 217652275170359576 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} \))(\( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( 1 - 9 T + 14 T^{2} - 603 T^{3} + 4489 T^{4} \))(\( 1 + 6 T - 31 T^{2} + 402 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( 1 - 15 T + 158 T^{2} - 1005 T^{3} + 4489 T^{4} \))(\( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} \))(\( 1 + 7 T - 83 T^{2} - 14 T^{3} + 9652 T^{4} - 938 T^{5} - 372587 T^{6} + 2105341 T^{7} + 20151121 T^{8} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( ( 1 + 8 T + 67 T^{2} )^{4} \))(\( ( 1 - 15 T - 3 T^{2} + 142 T^{3} + 9993 T^{4} - 15123 T^{5} - 719466 T^{6} - 1013241 T^{7} + 44858577 T^{8} + 42708346 T^{9} - 60453363 T^{10} - 20251876605 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 14 T - 125 T^{2} - 1238 T^{3} + 28877 T^{4} + 158888 T^{5} - 2519254 T^{6} - 1335236 T^{7} + 243583474 T^{8} - 89460812 T^{9} - 11308931206 T^{10} + 47787631544 T^{11} + 581903921117 T^{12} - 1671454882466 T^{13} - 11307297771125 T^{14} + 84849962474522 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 4 T - 90 T^{2} + 112 T^{3} + 5675 T^{4} + 7504 T^{5} - 404010 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 4 T - 90 T^{2} + 112 T^{3} + 5675 T^{4} + 7504 T^{5} - 404010 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{8} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 + 74 T^{2} + 987 T^{4} + 332186 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{4} \))(\( 1 + 361 T^{2} + 73723 T^{4} + 10542804 T^{6} + 1164287325 T^{8} + 103688059123 T^{10} + 7623484120510 T^{12} + 465455697403147 T^{14} + 23461694764841325 T^{16} + 953684993364861876 T^{18} + 29936527392508244443 T^{20} + \)\(65\!\cdots\!89\)\( T^{22} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( ( 1 + 98 T^{2} + 537 T^{4} + 8722 T^{6} + 18947012 T^{8} + 39153058 T^{10} + 10821151977 T^{12} + 8864921452562 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 8 T - 3 T^{2} - 536 T^{3} + 4489 T^{4} )^{2} \))
$71$ (\( 1 - 14 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 18 T + 220 T^{2} + 1278 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 88 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{4} \))(\( ( 1 + 210 T^{2} + 20738 T^{4} + 1058610 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 14 T + 194 T^{2} - 1686 T^{3} + 14330 T^{4} - 119706 T^{5} + 977954 T^{6} - 5010754 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 2914 T^{4} + 25411681 T^{8} )^{2} \))(\( ( 1 - 208 T^{2} + 20610 T^{4} - 1048528 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )( 1 + 16 T + 71 T^{2} ) \))(\( ( 1 - 138 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 114 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 138 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 42 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 456 T^{2} + 94300 T^{4} - 11817416 T^{6} + 1002933542 T^{8} - 59571594056 T^{10} + 2396321518300 T^{12} - 58413729467976 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 - 21 T + 249 T^{2} - 2115 T^{3} + 17679 T^{4} - 105861 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 12 T + 167 T^{2} + 591 T^{3} + 7587 T^{4} + 41961 T^{5} + 841847 T^{6} + 4294932 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 3 T + 276 T^{2} + 630 T^{3} + 29126 T^{4} + 44730 T^{5} + 1391316 T^{6} + 1073733 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 9 T + 306 T^{2} + 2174 T^{3} + 40411 T^{4} + 221049 T^{5} + 2869181 T^{6} + 10959134 T^{7} + 109520766 T^{8} + 228705129 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 10 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{4} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 42 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{6}( 1 + 16 T + 71 T^{2} )^{6} \))(\( ( 1 - 392 T^{2} + 75892 T^{4} - 9334040 T^{6} + 790096294 T^{8} - 47052895640 T^{10} + 1928543294452 T^{12} - 50215311297032 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 8 T + 60 T^{2} - 568 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 + 8 T + 60 T^{2} + 568 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 + 110 T^{2} + 7059 T^{4} + 554510 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 - 140 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 34 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 71 T^{2} )^{8} \))(\( ( 1 + 8 T + 157 T^{2} + 704 T^{3} + 11147 T^{4} + 40328 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 36 T^{2} + 1694 T^{4} + 181476 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 - 42 T^{2} + 5041 T^{4} )^{2} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 24 T + 278 T^{2} - 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{4} \))(\( ( 1 + 6 T + 73 T^{2} )^{4} \))(\( ( 1 + 6 T + 73 T^{2} )^{8} \))(\( ( 1 + 4 T + 92 T^{2} - 580 T^{3} + 166 T^{4} - 42340 T^{5} + 490268 T^{6} + 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 73 T^{2} )^{8} \))(\( ( 1 - 132 T^{2} + 8742 T^{4} - 703428 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 73 T^{2} )^{2} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 + 70 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 328 T^{2} + 54492 T^{4} - 6043256 T^{6} + 500200454 T^{8} - 32204511224 T^{10} + 1547476948572 T^{12} - 49637626222792 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 13 T + 96 T^{2} - 949 T^{3} + 5329 T^{4} \))(\( 1 - 5 T - 48 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 13 T + 73 T^{2} )^{2} \))(\( ( 1 - 3 T + 105 T^{2} - 475 T^{3} + 7665 T^{4} - 15987 T^{5} + 389017 T^{6} )^{2} \))(\( ( 1 - 13 T + 232 T^{2} - 1504 T^{3} + 18820 T^{4} - 109792 T^{5} + 1236328 T^{6} - 5057221 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 24 T + 425 T^{2} + 4923 T^{3} + 48495 T^{4} + 359379 T^{5} + 2264825 T^{6} + 9336408 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 15 T + 247 T^{2} - 2719 T^{3} + 26596 T^{4} - 243028 T^{5} + 1941508 T^{6} - 14489551 T^{7} + 96087199 T^{8} - 425973615 T^{9} + 2073071593 T^{10} )^{2} \))(\( 1 + T - 72 T^{2} + 73 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( 1 + T - 72 T^{2} + 73 T^{3} + 5329 T^{4} \))(\( 1 - T - 131 T^{2} + 14 T^{3} + 12022 T^{4} + 1022 T^{5} - 698099 T^{6} - 389017 T^{7} + 28398241 T^{8} \))(\( 1 - 13 T + 96 T^{2} - 949 T^{3} + 5329 T^{4} \))(\( 1 - 5 T - 48 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( ( 1 + 15 T + 148 T^{2} + 1095 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 9 T + 183 T^{2} - 1404 T^{3} + 16701 T^{4} - 147195 T^{5} + 1376278 T^{6} - 10745235 T^{7} + 88999629 T^{8} - 546179868 T^{9} + 5196878103 T^{10} - 18657644337 T^{11} + 151334226289 T^{12} )^{2} \))(\( ( 1 + 30 T + 591 T^{2} + 8730 T^{3} + 105765 T^{4} + 1168044 T^{5} + 12012906 T^{6} + 115920888 T^{7} + 1041481850 T^{8} + 8462224824 T^{9} + 64016776074 T^{10} + 454388972748 T^{11} + 3003539959365 T^{12} + 18097915006890 T^{13} + 89438527736799 T^{14} + 331421955572910 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 8 T + 30 T^{2} - 896 T^{3} - 8845 T^{4} - 65408 T^{5} + 159870 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 8 T + 30 T^{2} - 896 T^{3} - 8845 T^{4} - 65408 T^{5} + 159870 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 73 T^{2} )^{16} \))(\( ( 1 + 6 T + 85 T^{2} + 438 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 - 17 T + 73 T^{2} )^{4}( 1 + 7 T + 73 T^{2} )^{4} \))(\( ( 1 + 14 T + 123 T^{2} + 1022 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 + 5 T - 101 T^{2} + 52 T^{3} + 5233 T^{4} - 28921 T^{5} - 430618 T^{6} - 2111233 T^{7} + 27886657 T^{8} + 20228884 T^{9} - 2868222341 T^{10} + 10365357965 T^{11} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} )^{8} \))(\( ( 1 + 15 T + 148 T^{2} + 1095 T^{3} + 5329 T^{4} )^{2} \))
$79$ (\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 54 T^{2} + 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{4} \))(\( ( 1 + 79 T^{2} )^{4} \))(\( ( 1 + 79 T^{2} )^{8} \))(\( ( 1 + 20 T + 340 T^{2} + 3972 T^{3} + 38678 T^{4} + 313788 T^{5} + 2121940 T^{6} + 9860780 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{8} \))(\( ( 1 + 16 T + 190 T^{2} + 1264 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 8 T + 79 T^{2} )( 1 + 8 T + 79 T^{2} ) \))(\( ( 1 - 14 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2}( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 14 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 122 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 444 T^{2} + 95492 T^{4} - 12990660 T^{6} + 1221053302 T^{8} - 81074709060 T^{10} + 3719421134852 T^{12} - 107930830251324 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 30 T^{2} - 59 T^{3} + 1125 T^{4} + 89100 T^{5} - 1368633 T^{6} + 7038900 T^{7} + 7021125 T^{8} - 29089301 T^{9} + 1168502430 T^{10} - 46155845985 T^{11} + 243087455521 T^{12} \))(\( 1 + 22 T + 237 T^{2} + 1616 T^{3} + 2882 T^{4} - 87342 T^{5} - 574370 T^{6} + 1050079 T^{7} + 29800944 T^{8} + 82956241 T^{9} - 3584643170 T^{10} - 43063012338 T^{11} + 112254133442 T^{12} + 4972523140784 T^{13} + 57611726958477 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 21 T + 133 T^{2} + 252 T^{3} - 9896 T^{4} + 136080 T^{5} - 973784 T^{6} - 2121567 T^{7} + 81625693 T^{8} - 167603793 T^{9} - 6077385944 T^{10} + 67092747120 T^{11} - 385450001576 T^{12} + 775418212548 T^{13} + 32330631584293 T^{14} - 403282088709339 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 3 T - 271 T^{2} - 1532 T^{3} + 38715 T^{4} + 263753 T^{5} - 3446203 T^{6} - 24313053 T^{7} + 236347015 T^{8} + 845708523 T^{9} - 15972358530 T^{10} + 66810973317 T^{11} + 1475041720615 T^{12} - 11987283338067 T^{13} - 134229885992443 T^{14} + 811582856405447 T^{15} + 9411130840495515 T^{16} - 29420388566795588 T^{17} - 411136487484678031 T^{18} + 359554787947854957 T^{19} + 9468276082626847201 T^{20} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 11 T + 42 T^{2} + 869 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 42 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 53 T^{2} - 328 T^{3} + 2392 T^{4} - 25912 T^{5} - 330773 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 122 T^{2} + 6241 T^{4} )^{2} \))(\( 1 + 261 T^{2} + 30519 T^{4} + 2829272 T^{6} + 267713397 T^{8} + 18988265187 T^{10} + 1205673992502 T^{12} + 118505763032067 T^{14} + 10427458497935157 T^{16} + 687760531456810712 T^{18} + 46300643769538335159 T^{20} + \)\(24\!\cdots\!61\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 16 T + 64 T^{2} + 56 T^{3} - 1765 T^{4} - 55364 T^{5} - 19696 T^{6} + 3181796 T^{7} + 14045608 T^{8} + 251361884 T^{9} - 122922736 T^{10} - 27296611196 T^{11} - 68746892965 T^{12} + 172315158344 T^{13} + 15557597153344 T^{14} + 307262543778544 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( 1 + 214 T^{2} + 22065 T^{4} + 2407286 T^{6} + 238397444 T^{8} + 15023871926 T^{10} + 859433537265 T^{12} + 52020715481494 T^{14} + 1517108809906561 T^{16} \))(\( 1 + 214 T^{2} + 22065 T^{4} + 2407286 T^{6} + 238397444 T^{8} + 15023871926 T^{10} + 859433537265 T^{12} + 52020715481494 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 + 130 T^{2} + 6241 T^{4} )^{4}( 1 - 130 T^{2} + 10659 T^{4} - 811330 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 7 T - 30 T^{2} - 553 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 17 T + 79 T^{2} )^{4}( 1 + 4 T + 79 T^{2} )^{4} \))(\( ( 1 + 10 T + 79 T^{2} )^{4}( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 11 T - 137 T^{2} - 656 T^{3} + 26965 T^{4} + 70973 T^{5} - 1975630 T^{6} + 5606867 T^{7} + 168288565 T^{8} - 323433584 T^{9} - 5336161097 T^{10} + 33847620389 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 6 T - 113 T^{2} - 54 T^{3} + 13116 T^{4} - 4266 T^{5} - 705233 T^{6} + 2958234 T^{7} + 38950081 T^{8} )^{4} \))(\( 1 + 122 T^{2} + 8643 T^{4} + 761402 T^{6} + 38950081 T^{8} \))
$83$ (\( 1 - 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 76 T^{2} + 6889 T^{4} \))(\( 1 - 300 T^{2} + 36086 T^{4} - 2066700 T^{6} + 47458321 T^{8} \))(\( ( 1 - 18 T + 83 T^{2} )^{2}( 1 + 18 T + 83 T^{2} )^{2} \))(\( 1 - 210 T^{2} + 23970 T^{4} - 1446690 T^{6} + 47458321 T^{8} \))(\( ( 1 - 276 T^{2} + 32166 T^{4} - 1901364 T^{6} + 47458321 T^{8} )^{2} \))(\( 1 - 248 T^{2} + 44156 T^{4} - 5204488 T^{6} + 499369126 T^{8} - 35853717832 T^{10} + 2095569622076 T^{12} - 81081212595512 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 - 83 T^{2} )^{8} \))(\( ( 1 + 12 T^{2} + 13302 T^{4} + 82668 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 83 T^{2} )^{2} \))(\( ( 1 - 118 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 83 T^{2} )^{4} \))(\( ( 1 - 118 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 160 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 120 T^{2} + 20284 T^{4} - 1531784 T^{6} + 164981030 T^{8} - 10552459976 T^{10} + 962644583164 T^{12} - 39232844804280 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( 1 - 13 T + 86 T^{2} - 1079 T^{3} + 6889 T^{4} \))(\( 1 - 15 T + 142 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 83 T^{2} + 6889 T^{4} \))(\( 1 - 6 T - 42 T^{2} + 2610 T^{3} - 9624 T^{4} - 83688 T^{5} + 2759119 T^{6} - 6946104 T^{7} - 66299736 T^{8} + 1492364070 T^{9} - 1993249482 T^{10} - 23634243858 T^{11} + 326940373369 T^{12} \))(\( 1 + 6 T - 113 T^{2} - 1704 T^{3} + 3151 T^{4} + 166296 T^{5} + 1416277 T^{6} - 7918434 T^{7} - 172589093 T^{8} - 657230022 T^{9} + 9756732253 T^{10} + 95085890952 T^{11} + 149541169471 T^{12} - 6712125255672 T^{13} - 36944262190697 T^{14} + 162816305937762 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 8 T - 259 T^{2} + 1146 T^{3} + 49577 T^{4} - 119878 T^{5} - 6175577 T^{6} + 3335418 T^{7} + 604903483 T^{8} + 276839694 T^{9} - 42543549953 T^{10} - 68544681986 T^{11} + 2352841180217 T^{12} + 4514140576878 T^{13} - 84677556702571 T^{14} - 217088407917016 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 20 T + 98 T^{2} - 318 T^{3} + 879 T^{4} + 169800 T^{5} - 2124519 T^{6} + 6011178 T^{7} + 51057123 T^{8} - 1398046658 T^{9} + 18343755493 T^{10} - 116037872614 T^{11} + 351732520347 T^{12} + 3437113435086 T^{13} - 100826104672599 T^{14} + 668849101181400 T^{15} + 287380588191351 T^{16} - 8629264214701386 T^{17} + 220724638749626018 T^{18} - 3738805105350808060 T^{19} + 15516041187205853449 T^{20} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 17 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 7 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 - 17 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 7 T + 164 T^{2} + 581 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 13 T + 86 T^{2} - 1079 T^{3} + 6889 T^{4} \))(\( 1 - 15 T + 142 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( ( 1 - 27 T + 326 T^{2} - 2241 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 270 T^{2} + 28455 T^{4} - 2146852 T^{6} + 196026495 T^{8} - 12813746670 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 438 T^{2} + 94557 T^{4} + 13226610 T^{6} + 1298783528 T^{8} + 91118116290 T^{10} + 4487516458797 T^{12} + 143199883535622 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 230 T^{2} + 26803 T^{4} - 1584470 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 230 T^{2} + 26803 T^{4} - 1584470 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 13130 T^{4} + 124938579 T^{8} + 623127754730 T^{12} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 155 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 41 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 134 T^{2} + 11067 T^{4} + 923126 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 446 T^{2} + 86503 T^{4} - 9357636 T^{6} + 595919167 T^{8} - 21166411166 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 132 T^{2} + 15822 T^{4} - 909348 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 + 27 T + 326 T^{2} + 2241 T^{3} + 6889 T^{4} )^{2} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 200 T^{2} + 890 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 16 T + 174 T^{2} - 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 266 T^{2} + 32506 T^{4} + 2106986 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 10 T + 198 T^{2} + 494 T^{3} + 13122 T^{4} + 43966 T^{5} + 1568358 T^{6} + 7049690 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 + 276 T^{2} + 34854 T^{4} + 2186196 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 89 T^{2} )^{2} \))(\( ( 1 - 70 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 122 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 - 70 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 312 T^{2} + 51484 T^{4} - 5696504 T^{6} + 530357222 T^{8} - 45122008184 T^{10} + 3230221535644 T^{12} - 155058162779832 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4} \))(\( 1 - 5 T - 64 T^{2} - 445 T^{3} + 7921 T^{4} \))(\( ( 1 - 4 T + 89 T^{2} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 18 T + 318 T^{2} + 3241 T^{3} + 28302 T^{4} + 142578 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 + 14 T + 323 T^{2} + 2963 T^{3} + 41152 T^{4} + 263707 T^{5} + 2558483 T^{6} + 9869566 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 6 T + 263 T^{2} - 1377 T^{3} + 32646 T^{4} - 122553 T^{5} + 2083223 T^{6} - 4229814 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 12 T + 292 T^{2} + 2463 T^{3} + 41383 T^{4} + 291726 T^{5} + 3683087 T^{6} + 19509423 T^{7} + 205850948 T^{8} + 752906892 T^{9} + 5584059449 T^{10} )^{2} \))(\( 1 + 8 T - 25 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4} \))(\( 1 - 7 T - 40 T^{2} - 623 T^{3} + 7921 T^{4} \))(\( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} \))(\( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 + 8 T - 25 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 8 T - 25 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 94 T^{2} - 288 T^{3} + 5775 T^{4} - 25632 T^{5} - 744574 T^{6} + 4229814 T^{7} + 62742241 T^{8} \))(\( 1 - 9 T - 8 T^{2} - 801 T^{3} + 7921 T^{4} \))(\( 1 - 5 T - 64 T^{2} - 445 T^{3} + 7921 T^{4} \))(\( ( 1 - 15 T + 164 T^{2} - 1335 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 3 T + 92 T^{2} + 267 T^{3} + 7921 T^{4} )^{6} \))(\( 1 - 384 T^{2} + 64644 T^{4} - 8318208 T^{6} + 1128930634 T^{8} - 127988142720 T^{10} + 11460228290064 T^{12} - 1112004852903552 T^{14} + 109920677865950547 T^{16} - 8808190439849035392 T^{18} + \)\(71\!\cdots\!24\)\( T^{20} - \)\(63\!\cdots\!20\)\( T^{22} + \)\(44\!\cdots\!54\)\( T^{24} - \)\(25\!\cdots\!08\)\( T^{26} + \)\(15\!\cdots\!24\)\( T^{28} - \)\(75\!\cdots\!44\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 89 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 89 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 89 T^{2} )^{16} \))(\( ( 1 - 82 T^{2} - 1197 T^{4} - 649522 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 14 T^{2} - 7725 T^{4} + 110894 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 - 5 T - 133 T^{2} + 1452 T^{3} + 5297 T^{4} - 76103 T^{5} + 246758 T^{6} - 6773167 T^{7} + 41957537 T^{8} + 1023614988 T^{9} - 8344718053 T^{10} - 27920297245 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 260 T^{2} + 34986 T^{4} - 4360720 T^{6} + 465471155 T^{8} - 34541263120 T^{10} + 2195100043626 T^{12} - 129215135649860 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 15 T + 164 T^{2} - 1335 T^{3} + 7921 T^{4} )^{2} \))
$97$ (\( 1 + 18 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 16 T + 246 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{4} \))(\( ( 1 - 8 T + 142 T^{2} - 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 8 T + 46 T^{2} - 776 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 - 20 T + 300 T^{2} - 2572 T^{3} + 25574 T^{4} - 249484 T^{5} + 2822700 T^{6} - 18253460 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 97 T^{2} )^{8} \))(\( ( 1 - 228 T^{2} + 31686 T^{4} - 2145252 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2}( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 97 T^{2} )^{4} \))(\( ( 1 - 97 T^{2} )^{4} \))(\( ( 1 - 14 T + 97 T^{2} )^{2}( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 170 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 232 T^{2} + 17244 T^{4} + 409768 T^{6} - 157308730 T^{8} + 3855507112 T^{10} + 1526598921564 T^{12} - 193249505143528 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 + 15 T + 168 T^{2} + 1477 T^{3} + 2385 T^{4} - 42462 T^{5} - 510111 T^{6} - 4118814 T^{7} + 22440465 T^{8} + 1348018021 T^{9} + 14872919208 T^{10} + 128810103855 T^{11} + 832972004929 T^{12} \))(\( 1 + T - 123 T^{2} - 856 T^{3} - 4138 T^{4} + 70242 T^{5} + 167026 T^{6} - 386291 T^{7} + 107246157 T^{8} - 37470227 T^{9} + 1571547634 T^{10} + 64107976866 T^{11} - 366334164778 T^{12} - 7350763259992 T^{13} - 102455556606267 T^{14} + 80798284478113 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 16 T - 175 T^{2} + 2086 T^{3} + 49490 T^{4} - 309968 T^{5} - 6453258 T^{6} + 6735477 T^{7} + 823825414 T^{8} + 653341269 T^{9} - 60718704522 T^{10} - 282899424464 T^{11} + 4381314116690 T^{12} + 17913191776102 T^{13} - 145770100862575 T^{14} - 1292772551649808 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 37 T + 608 T^{2} + 4491 T^{3} - 11038 T^{4} - 630495 T^{5} - 6947105 T^{6} - 31739955 T^{7} + 128335391 T^{8} + 3636093960 T^{9} + 40545974467 T^{10} + 352701114120 T^{11} + 1207507693919 T^{12} - 28968199949715 T^{13} - 615022210681505 T^{14} - 5414275095337215 T^{15} - 9194344990406302 T^{16} + 362865095591205483 T^{17} + 4765159625381192288 T^{18} + 28128549170218913029 T^{19} + 73742412689492826049 T^{20} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 3 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 17 T + 97 T^{2} )^{2} \))(\( ( 1 - 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 3 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 25 T + 336 T^{2} - 2425 T^{3} + 9409 T^{4} )^{2} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( ( 1 - 3 T + 100 T^{2} - 291 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 222 T^{2} + 20703 T^{4} - 1529300 T^{6} + 194794527 T^{8} - 19653500382 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 234 T^{2} + 40305 T^{4} - 5045730 T^{6} + 535964996 T^{8} - 47475273570 T^{10} + 3568172670705 T^{12} - 194915449153386 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 26 T + 355 T^{2} + 2522 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 + 26 T + 355 T^{2} + 2522 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 + 97 T^{2} + 9409 T^{4} )^{8} \))(\( ( 1 - 191 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 + T + 97 T^{2} )^{8} \))(\( ( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 - 10 T + 255 T^{2} - 1968 T^{3} + 24735 T^{4} - 94090 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 + 4 T + 190 T^{2} + 388 T^{3} + 9409 T^{4} )^{8} \))(\( ( 1 + 3 T + 100 T^{2} + 291 T^{3} + 9409 T^{4} )^{2} \))
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