Properties

Label 1512.2
Level 1512
Weight 2
Dimension 26176
Nonzero newspaces 48
Sturm bound 248832
Trace bound 25

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 1512 = 2^{3} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(248832\)
Trace bound: \(25\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1512))\).

Total New Old
Modular forms 64368 26816 37552
Cusp forms 60049 26176 33873
Eisenstein series 4319 640 3679

Trace form

\( 26176q - 32q^{2} - 48q^{3} - 56q^{4} + 4q^{5} - 48q^{6} - 70q^{7} - 92q^{8} - 96q^{9} + O(q^{10}) \) \( 26176q - 32q^{2} - 48q^{3} - 56q^{4} + 4q^{5} - 48q^{6} - 70q^{7} - 92q^{8} - 96q^{9} - 72q^{10} - 56q^{11} - 48q^{12} - 20q^{13} - 46q^{14} - 144q^{15} - 64q^{16} - 116q^{17} - 48q^{18} - 88q^{19} - 20q^{20} - 12q^{21} - 100q^{22} - 84q^{23} - 12q^{24} - 134q^{25} + 52q^{26} - 18q^{27} - 116q^{28} + 60q^{29} + 48q^{30} - 28q^{31} + 188q^{32} - 78q^{33} + 40q^{34} + 6q^{35} + 36q^{37} + 188q^{38} + 24q^{39} + 64q^{40} - 68q^{41} - 92q^{43} + 156q^{44} + 108q^{45} + 16q^{46} + 84q^{47} - 12q^{48} - 190q^{49} + 40q^{50} + 72q^{51} - 32q^{52} + 16q^{53} - 48q^{54} - 88q^{55} - 118q^{56} - 150q^{57} - 136q^{58} + 142q^{59} - 168q^{60} + 28q^{61} - 292q^{62} + 36q^{63} - 260q^{64} + 68q^{65} - 228q^{66} + 68q^{67} - 288q^{68} + 96q^{69} - 98q^{70} + 236q^{71} - 216q^{72} - 72q^{73} - 188q^{74} + 84q^{75} - 160q^{76} + 96q^{77} - 348q^{78} + 116q^{79} - 168q^{80} - 72q^{81} - 64q^{82} + 212q^{83} - 126q^{84} + 80q^{85} - 44q^{86} - 36q^{87} + 80q^{88} - 110q^{89} - 324q^{90} + 36q^{91} - 36q^{92} - 144q^{93} + 144q^{94} - 20q^{95} - 360q^{96} - 72q^{97} - 44q^{98} - 396q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1512))\)

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
1512.2.a \(\chi_{1512}(1, \cdot)\) 1512.2.a.a 1 1
1512.2.a.b 1
1512.2.a.c 1
1512.2.a.d 1
1512.2.a.e 1
1512.2.a.f 1
1512.2.a.g 1
1512.2.a.h 1
1512.2.a.i 1
1512.2.a.j 1
1512.2.a.k 1
1512.2.a.l 1
1512.2.a.m 2
1512.2.a.n 2
1512.2.a.o 2
1512.2.a.p 2
1512.2.a.q 2
1512.2.a.r 2
1512.2.b \(\chi_{1512}(55, \cdot)\) None 0 1
1512.2.c \(\chi_{1512}(757, \cdot)\) 1512.2.c.a 2 1
1512.2.c.b 2
1512.2.c.c 8
1512.2.c.d 16
1512.2.c.e 20
1512.2.c.f 24
1512.2.c.g 24
1512.2.h \(\chi_{1512}(1079, \cdot)\) None 0 1
1512.2.i \(\chi_{1512}(1133, \cdot)\) n/a 128 1
1512.2.j \(\chi_{1512}(323, \cdot)\) 1512.2.j.a 8 1
1512.2.j.b 8
1512.2.j.c 32
1512.2.j.d 48
1512.2.k \(\chi_{1512}(377, \cdot)\) 1512.2.k.a 16 1
1512.2.k.b 16
1512.2.p \(\chi_{1512}(811, \cdot)\) n/a 128 1
1512.2.q \(\chi_{1512}(793, \cdot)\) 1512.2.q.a 2 2
1512.2.q.b 2
1512.2.q.c 22
1512.2.q.d 22
1512.2.r \(\chi_{1512}(505, \cdot)\) 1512.2.r.a 2 2
1512.2.r.b 2
1512.2.r.c 6
1512.2.r.d 8
1512.2.r.e 8
1512.2.r.f 10
1512.2.s \(\chi_{1512}(865, \cdot)\) 1512.2.s.a 2 2
1512.2.s.b 2
1512.2.s.c 2
1512.2.s.d 2
1512.2.s.e 2
1512.2.s.f 2
1512.2.s.g 2
1512.2.s.h 2
1512.2.s.i 2
1512.2.s.j 2
1512.2.s.k 6
1512.2.s.l 6
1512.2.s.m 8
1512.2.s.n 8
1512.2.s.o 8
1512.2.s.p 8
1512.2.t \(\chi_{1512}(289, \cdot)\) 1512.2.t.a 2 2
1512.2.t.b 2
1512.2.t.c 22
1512.2.t.d 22
1512.2.w \(\chi_{1512}(1045, \cdot)\) n/a 184 2
1512.2.x \(\chi_{1512}(199, \cdot)\) None 0 2
1512.2.y \(\chi_{1512}(773, \cdot)\) n/a 184 2
1512.2.z \(\chi_{1512}(359, \cdot)\) None 0 2
1512.2.be \(\chi_{1512}(307, \cdot)\) n/a 184 2
1512.2.bf \(\chi_{1512}(451, \cdot)\) n/a 184 2
1512.2.bk \(\chi_{1512}(1027, \cdot)\) n/a 256 2
1512.2.bl \(\chi_{1512}(593, \cdot)\) 1512.2.bl.a 16 2
1512.2.bl.b 16
1512.2.bl.c 16
1512.2.bl.d 16
1512.2.bm \(\chi_{1512}(107, \cdot)\) n/a 256 2
1512.2.br \(\chi_{1512}(827, \cdot)\) n/a 144 2
1512.2.bs \(\chi_{1512}(521, \cdot)\) 1512.2.bs.a 48 2
1512.2.bt \(\chi_{1512}(611, \cdot)\) n/a 184 2
1512.2.bu \(\chi_{1512}(881, \cdot)\) 1512.2.bu.a 48 2
1512.2.bz \(\chi_{1512}(71, \cdot)\) None 0 2
1512.2.ca \(\chi_{1512}(341, \cdot)\) n/a 184 2
1512.2.cb \(\chi_{1512}(1367, \cdot)\) None 0 2
1512.2.cc \(\chi_{1512}(125, \cdot)\) n/a 184 2
1512.2.ch \(\chi_{1512}(269, \cdot)\) n/a 256 2
1512.2.ci \(\chi_{1512}(431, \cdot)\) None 0 2
1512.2.cj \(\chi_{1512}(109, \cdot)\) n/a 256 2
1512.2.ck \(\chi_{1512}(271, \cdot)\) None 0 2
1512.2.cp \(\chi_{1512}(559, \cdot)\) None 0 2
1512.2.cq \(\chi_{1512}(37, \cdot)\) n/a 184 2
1512.2.cr \(\chi_{1512}(1207, \cdot)\) None 0 2
1512.2.cs \(\chi_{1512}(253, \cdot)\) n/a 144 2
1512.2.cx \(\chi_{1512}(17, \cdot)\) 1512.2.cx.a 48 2
1512.2.cy \(\chi_{1512}(179, \cdot)\) n/a 184 2
1512.2.cz \(\chi_{1512}(19, \cdot)\) n/a 184 2
1512.2.dc \(\chi_{1512}(169, \cdot)\) n/a 324 6
1512.2.dd \(\chi_{1512}(193, \cdot)\) n/a 432 6
1512.2.de \(\chi_{1512}(25, \cdot)\) n/a 432 6
1512.2.dg \(\chi_{1512}(23, \cdot)\) None 0 6
1512.2.di \(\chi_{1512}(115, \cdot)\) n/a 1704 6
1512.2.dj \(\chi_{1512}(103, \cdot)\) None 0 6
1512.2.dl \(\chi_{1512}(11, \cdot)\) n/a 1704 6
1512.2.dn \(\chi_{1512}(173, \cdot)\) n/a 1704 6
1512.2.dr \(\chi_{1512}(293, \cdot)\) n/a 1704 6
1512.2.du \(\chi_{1512}(205, \cdot)\) n/a 1704 6
1512.2.dv \(\chi_{1512}(41, \cdot)\) n/a 432 6
1512.2.dx \(\chi_{1512}(85, \cdot)\) n/a 1296 6
1512.2.ea \(\chi_{1512}(185, \cdot)\) n/a 432 6
1512.2.eb \(\chi_{1512}(347, \cdot)\) n/a 1704 6
1512.2.ee \(\chi_{1512}(223, \cdot)\) None 0 6
1512.2.eg \(\chi_{1512}(155, \cdot)\) n/a 1296 6
1512.2.eh \(\chi_{1512}(31, \cdot)\) None 0 6
1512.2.ek \(\chi_{1512}(187, \cdot)\) n/a 1704 6
1512.2.el \(\chi_{1512}(239, \cdot)\) None 0 6
1512.2.en \(\chi_{1512}(139, \cdot)\) n/a 1704 6
1512.2.eq \(\chi_{1512}(95, \cdot)\) None 0 6
1512.2.es \(\chi_{1512}(257, \cdot)\) n/a 432 6
1512.2.eu \(\chi_{1512}(277, \cdot)\) n/a 1704 6
1512.2.ew \(\chi_{1512}(5, \cdot)\) n/a 1704 6

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1512))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(1512)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(54))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(108))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(189))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(216))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(378))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(504))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(756))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 7 T^{4} + 16 T^{8} \))(\( ( 1 + 2 T^{2} + 4 T^{4} + 8 T^{6} + 16 T^{8} )^{2} \))(\( 1 + T^{2} + 4 T^{4} + 8 T^{8} + 4 T^{10} + 32 T^{12} + 256 T^{16} + 256 T^{18} + 1024 T^{20} \))(\( ( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )^{2} \))
$3$ 1
$5$ (\( 1 + 4 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + T + 2 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + 3 T^{2} + 25 T^{4} \))(\( 1 + 3 T^{2} + 25 T^{4} \))(\( 1 - T + 2 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 - 12 T^{2} + 71 T^{4} - 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 12 T^{2} + 54 T^{4} - 48 T^{6} - 469 T^{8} - 1200 T^{10} + 33750 T^{12} - 187500 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 - 18 T^{2} + 187 T^{4} - 1608 T^{6} + 10781 T^{8} - 57906 T^{10} + 269525 T^{12} - 1005000 T^{14} + 2921875 T^{16} - 7031250 T^{18} + 9765625 T^{20} )^{2} \))(\( ( 1 + 4 T + 10 T^{2} + 32 T^{3} + 87 T^{4} + 160 T^{5} + 250 T^{6} + 500 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 - 4 T + 10 T^{2} - 32 T^{3} + 87 T^{4} - 160 T^{5} + 250 T^{6} - 500 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 + 23 T^{2} + 273 T^{4} + 2194 T^{6} + 12806 T^{8} + 54850 T^{10} + 170625 T^{12} + 359375 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 + 11 T^{2} + 45 T^{4} + 34 T^{6} - 214 T^{8} + 850 T^{10} + 28125 T^{12} + 171875 T^{14} + 390625 T^{16} )^{2} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 3 T - 6 T^{2} - 13 T^{3} + 63 T^{4} + 60 T^{5} - 259 T^{6} + 300 T^{7} + 1575 T^{8} - 1625 T^{9} - 3750 T^{10} + 9375 T^{11} + 15625 T^{12} \))(\( 1 + 4 T + 5 T^{2} - 18 T^{3} - 94 T^{4} - 232 T^{5} - 110 T^{6} + 1011 T^{7} + 3826 T^{8} + 5055 T^{9} - 2750 T^{10} - 29000 T^{11} - 58750 T^{12} - 56250 T^{13} + 78125 T^{14} + 312500 T^{15} + 390625 T^{16} \))(\( 1 - 3 T - 3 T^{2} + 36 T^{3} - 32 T^{4} - 204 T^{5} + 540 T^{6} + 597 T^{7} - 3831 T^{8} + 2985 T^{9} + 13500 T^{10} - 25500 T^{11} - 20000 T^{12} + 112500 T^{13} - 46875 T^{14} - 234375 T^{15} + 390625 T^{16} \))(\( 1 - 3 T - 3 T^{2} + 16 T^{3} - 25 T^{4} + 63 T^{5} - 19 T^{6} - 277 T^{7} + 775 T^{8} - 451 T^{9} - 1814 T^{10} - 2255 T^{11} + 19375 T^{12} - 34625 T^{13} - 11875 T^{14} + 196875 T^{15} - 390625 T^{16} + 1250000 T^{17} - 1171875 T^{18} - 5859375 T^{19} + 9765625 T^{20} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + T - 10 T^{2} - 7 T^{3} + 57 T^{4} + 14 T^{5} - 299 T^{6} + 70 T^{7} + 1425 T^{8} - 875 T^{9} - 6250 T^{10} + 3125 T^{11} + 15625 T^{12} \))(\( 1 - T - 10 T^{2} + 7 T^{3} + 57 T^{4} - 14 T^{5} - 299 T^{6} - 70 T^{7} + 1425 T^{8} + 875 T^{9} - 6250 T^{10} - 3125 T^{11} + 15625 T^{12} \))(\( ( 1 + 2 T - 4 T^{2} - 4 T^{3} + 19 T^{4} - 20 T^{5} - 100 T^{6} + 250 T^{7} + 625 T^{8} )^{2} \))(\( 1 + 2 T - T^{2} + 20 T^{3} + 36 T^{4} - 46 T^{5} + 330 T^{6} + 755 T^{7} - 374 T^{8} + 3775 T^{9} + 8250 T^{10} - 5750 T^{11} + 22500 T^{12} + 62500 T^{13} - 15625 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 - 2 T - T^{2} - 20 T^{3} + 36 T^{4} + 46 T^{5} + 330 T^{6} - 755 T^{7} - 374 T^{8} - 3775 T^{9} + 8250 T^{10} + 5750 T^{11} + 22500 T^{12} - 62500 T^{13} - 15625 T^{14} - 156250 T^{15} + 390625 T^{16} \))(\( ( 1 - 2 T - 4 T^{2} + 4 T^{3} + 19 T^{4} + 20 T^{5} - 100 T^{6} - 250 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( 1 - 8 T^{2} + 16 T^{4} - 208 T^{6} + 1346 T^{8} - 2360 T^{10} + 37952 T^{12} - 176152 T^{14} + 40291 T^{16} - 4403800 T^{18} + 23720000 T^{20} - 36875000 T^{22} + 525781250 T^{24} - 2031250000 T^{26} + 3906250000 T^{28} - 48828125000 T^{30} + 152587890625 T^{32} \))(\( 1 - 17 T^{2} + 157 T^{4} - 940 T^{6} + 3356 T^{8} - 908 T^{10} - 80884 T^{12} + 689507 T^{14} - 3972719 T^{16} + 17237675 T^{18} - 50552500 T^{20} - 14187500 T^{22} + 1310937500 T^{24} - 9179687500 T^{26} + 38330078125 T^{28} - 103759765625 T^{30} + 152587890625 T^{32} \))(\( 1 - 14 T^{2} + 61 T^{4} + 8 T^{6} - 580 T^{8} + 2692 T^{10} - 7864 T^{12} - 231781 T^{14} + 2288086 T^{16} - 5794525 T^{18} - 4915000 T^{20} + 42062500 T^{22} - 226562500 T^{24} + 78125000 T^{26} + 14892578125 T^{28} - 85449218750 T^{30} + 152587890625 T^{32} \))(\( 1 - 20 T^{2} + 184 T^{4} - 1096 T^{6} + 5282 T^{8} - 23132 T^{10} + 89600 T^{12} - 326908 T^{14} + 1415731 T^{16} - 8172700 T^{18} + 56000000 T^{20} - 361437500 T^{22} + 2063281250 T^{24} - 10703125000 T^{26} + 44921875000 T^{28} - 122070312500 T^{30} + 152587890625 T^{32} \))
$7$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{16} \))(\( ( 1 + T )^{20} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T + 5 T^{3} - 34 T^{4} + 35 T^{5} + 343 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + T - 7 T^{3} + 14 T^{4} - 49 T^{5} + 343 T^{7} + 2401 T^{8} )^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{5} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 14 T^{2} + 55 T^{3} + 98 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 + 4 T + 14 T^{2} + 55 T^{3} + 98 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 5 T^{2} + 18 T^{3} + 8 T^{4} + 126 T^{5} + 245 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 5 T^{2} - 33 T^{3} - 136 T^{4} - 231 T^{5} + 245 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 5 T^{2} - 33 T^{3} - 136 T^{4} - 231 T^{5} + 245 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 18 T^{3} + 8 T^{4} + 126 T^{5} + 245 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( ( 1 + T - 7 T^{3} - 82 T^{4} - 49 T^{5} + 343 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + T + 9 T^{2} + 35 T^{3} + 35 T^{4} + 245 T^{5} + 441 T^{6} + 343 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 2 T - 9 T^{2} - T^{3} + 116 T^{4} - 7 T^{5} - 441 T^{6} - 686 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 2 T + 9 T^{2} - 34 T^{3} + 92 T^{4} - 238 T^{5} + 441 T^{6} - 686 T^{7} + 2401 T^{8} )^{2} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 5 T^{2} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 + 4 T + 19 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 19 T^{2} - 44 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 5 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( ( 1 + 4 T^{2} + 111 T^{4} + 484 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 60 T^{2} + 1734 T^{4} - 31920 T^{6} + 413051 T^{8} - 3862320 T^{10} + 25387494 T^{12} - 106293660 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 34 T^{2} + 589 T^{4} - 8472 T^{6} + 122234 T^{8} - 1528172 T^{10} + 14790314 T^{12} - 124038552 T^{14} + 1043449429 T^{16} - 7288201954 T^{18} + 25937424601 T^{20} )^{2} \))(\( 1 - 44 T^{2} + 994 T^{4} - 15968 T^{6} + 198763 T^{8} - 1932128 T^{10} + 14553154 T^{12} - 77948684 T^{14} + 214358881 T^{16} \))(\( 1 - 44 T^{2} + 994 T^{4} - 15968 T^{6} + 198763 T^{8} - 1932128 T^{10} + 14553154 T^{12} - 77948684 T^{14} + 214358881 T^{16} \))(\( ( 1 - 37 T^{2} + 801 T^{4} - 12446 T^{6} + 149966 T^{8} - 1505966 T^{10} + 11727441 T^{12} - 65547757 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 55 T^{2} + 1590 T^{4} - 29597 T^{6} + 386186 T^{8} - 3581237 T^{10} + 23279190 T^{12} - 97435855 T^{14} + 214358881 T^{16} )^{2} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 24 T^{2} + 18 T^{3} + 312 T^{4} - 216 T^{5} - 3593 T^{6} - 2376 T^{7} + 37752 T^{8} + 23958 T^{9} - 351384 T^{10} + 1771561 T^{12} \))(\( 1 - 6 T + T^{2} + 24 T^{3} + 49 T^{4} + 306 T^{5} - 2153 T^{6} + 1236 T^{7} + 7063 T^{8} + 13596 T^{9} - 260513 T^{10} + 407286 T^{11} + 717409 T^{12} + 3865224 T^{13} + 1771561 T^{14} - 116923026 T^{15} + 214358881 T^{16} \))(\( 1 + 7 T - 2 T^{2} - 81 T^{3} + 203 T^{4} + 1468 T^{5} - 675 T^{6} - 3769 T^{7} + 21730 T^{8} - 41459 T^{9} - 81675 T^{10} + 1953908 T^{11} + 2972123 T^{12} - 13045131 T^{13} - 3543122 T^{14} + 136410197 T^{15} + 214358881 T^{16} \))(\( 1 + 4 T - 6 T^{2} + 10 T^{3} + 191 T^{4} - 240 T^{5} + 1529 T^{6} + 16178 T^{7} - 5837 T^{8} - 14002 T^{9} + 502605 T^{10} - 154022 T^{11} - 706277 T^{12} + 21532918 T^{13} + 22386089 T^{14} - 38652240 T^{15} + 338368151 T^{16} + 194871710 T^{17} - 1286153286 T^{18} + 9431790764 T^{19} + 25937424601 T^{20} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - T - 20 T^{2} + 41 T^{3} + 179 T^{4} - 310 T^{5} - 1349 T^{6} - 3410 T^{7} + 21659 T^{8} + 54571 T^{9} - 292820 T^{10} - 161051 T^{11} + 1771561 T^{12} \))(\( 1 + T - 20 T^{2} - 41 T^{3} + 179 T^{4} + 310 T^{5} - 1349 T^{6} + 3410 T^{7} + 21659 T^{8} - 54571 T^{9} - 292820 T^{10} + 161051 T^{11} + 1771561 T^{12} \))(\( 1 + 2 T - 14 T^{2} - 48 T^{3} - 58 T^{4} + 26 T^{5} - 168 T^{6} + 2902 T^{7} + 26203 T^{8} + 31922 T^{9} - 20328 T^{10} + 34606 T^{11} - 849178 T^{12} - 7730448 T^{13} - 24801854 T^{14} + 38974342 T^{15} + 214358881 T^{16} \))(\( 1 + T - 15 T^{2} + 108 T^{3} + 240 T^{4} - 1366 T^{5} + 5502 T^{6} + 16607 T^{7} - 62387 T^{8} + 182677 T^{9} + 665742 T^{10} - 1818146 T^{11} + 3513840 T^{12} + 17393508 T^{13} - 26573415 T^{14} + 19487171 T^{15} + 214358881 T^{16} \))(\( 1 - T - 15 T^{2} - 108 T^{3} + 240 T^{4} + 1366 T^{5} + 5502 T^{6} - 16607 T^{7} - 62387 T^{8} - 182677 T^{9} + 665742 T^{10} + 1818146 T^{11} + 3513840 T^{12} - 17393508 T^{13} - 26573415 T^{14} - 19487171 T^{15} + 214358881 T^{16} \))(\( 1 - 2 T - 14 T^{2} + 48 T^{3} - 58 T^{4} - 26 T^{5} - 168 T^{6} - 2902 T^{7} + 26203 T^{8} - 31922 T^{9} - 20328 T^{10} - 34606 T^{11} - 849178 T^{12} + 7730448 T^{13} - 24801854 T^{14} - 38974342 T^{15} + 214358881 T^{16} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( 1 + 40 T^{2} + 592 T^{4} + 6800 T^{6} + 131138 T^{8} + 1759960 T^{10} + 13053248 T^{12} + 168275960 T^{14} + 2611238371 T^{16} + 20361391160 T^{18} + 191112603968 T^{20} + 3117876497560 T^{22} + 28110594936578 T^{24} + 176374487286800 T^{26} + 1857949599018832 T^{28} + 15189993343329640 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 58 T^{2} + 1801 T^{4} + 37304 T^{6} + 562052 T^{8} + 6203728 T^{10} + 48440420 T^{12} + 243538427 T^{14} + 1239374062 T^{16} + 29468149667 T^{18} + 709216189220 T^{20} + 10990282579408 T^{22} + 120480837783812 T^{24} + 967569687315704 T^{26} + 5652309506474521 T^{28} + 22025490347827978 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 19 T^{2} - 23 T^{4} - 4456 T^{6} - 28228 T^{8} + 533860 T^{10} + 7671380 T^{12} - 29265493 T^{14} - 1170886031 T^{16} - 3541124653 T^{18} + 112316674580 T^{20} + 945765555460 T^{22} - 6050922492868 T^{24} - 115577164022056 T^{26} - 72183852664583 T^{28} + 7215246838081579 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 28 T^{2} + 316 T^{4} - 472 T^{6} - 56470 T^{8} - 785948 T^{10} - 3198064 T^{12} + 52576484 T^{14} + 1079693059 T^{16} + 6361754564 T^{18} - 46822855024 T^{20} - 1392354824828 T^{22} - 12104846010070 T^{24} - 12242464411672 T^{26} + 991743367043836 T^{28} + 10632995340330748 T^{30} + 45949729863572161 T^{32} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 14 T^{2} + 169 T^{4} \))(\( 1 - 3 T + 20 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 - 2 T^{2} + 169 T^{4} \))(\( 1 - 2 T^{2} + 169 T^{4} \))(\( 1 - 3 T + 20 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 + 14 T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( ( 1 - 20 T^{2} + 378 T^{4} - 3380 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 40 T^{2} + 936 T^{4} - 16040 T^{6} + 219326 T^{8} - 2710760 T^{10} + 26733096 T^{12} - 193072360 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 83 T^{2} + 3533 T^{4} - 98556 T^{6} + 1975738 T^{8} - 29558418 T^{10} + 333899722 T^{12} - 2814857916 T^{14} + 17053116197 T^{16} - 67705649843 T^{18} + 137858491849 T^{20} )^{2} \))(\( 1 - 8 T^{2} + 228 T^{4} - 4504 T^{6} + 20006 T^{8} - 761176 T^{10} + 6511908 T^{12} - 38614472 T^{14} + 815730721 T^{16} \))(\( 1 - 8 T^{2} + 228 T^{4} - 4504 T^{6} + 20006 T^{8} - 761176 T^{10} + 6511908 T^{12} - 38614472 T^{14} + 815730721 T^{16} \))(\( ( 1 - 49 T^{2} + 1398 T^{4} - 28055 T^{6} + 418226 T^{8} - 4741295 T^{10} + 39928278 T^{12} - 236513641 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 49 T^{2} + 1362 T^{4} - 26411 T^{6} + 392258 T^{8} - 4463459 T^{10} + 38900082 T^{12} - 236513641 T^{14} + 815730721 T^{16} )^{2} \))(\( 1 + 3 T - 4 T^{2} + 39 T^{3} + 169 T^{4} \))(\( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 3 T - 21 T^{2} + 60 T^{3} + 285 T^{4} - 417 T^{5} - 3202 T^{6} - 5421 T^{7} + 48165 T^{8} + 131820 T^{9} - 599781 T^{10} - 1113879 T^{11} + 4826809 T^{12} \))(\( 1 + 3 T - 16 T^{2} + 39 T^{3} + 337 T^{4} - 720 T^{5} + 2222 T^{6} + 11778 T^{7} - 44096 T^{8} + 153114 T^{9} + 375518 T^{10} - 1581840 T^{11} + 9625057 T^{12} + 14480427 T^{13} - 77228944 T^{14} + 188245551 T^{15} + 815730721 T^{16} \))(\( 1 - 3 T - 32 T^{2} + 57 T^{3} + 673 T^{4} - 432 T^{5} - 11810 T^{6} + 2142 T^{7} + 166240 T^{8} + 27846 T^{9} - 1995890 T^{10} - 949104 T^{11} + 19221553 T^{12} + 21163701 T^{13} - 154457888 T^{14} - 188245551 T^{15} + 815730721 T^{16} \))(\( 1 + 3 T - 31 T^{2} - 106 T^{3} + 402 T^{4} + 1426 T^{5} - 5437 T^{6} - 15135 T^{7} + 85123 T^{8} + 101952 T^{9} - 1104756 T^{10} + 1325376 T^{11} + 14385787 T^{12} - 33251595 T^{13} - 155286157 T^{14} + 529463818 T^{15} + 1940377218 T^{16} - 6651342802 T^{17} - 25287652351 T^{18} + 31813498119 T^{19} + 137858491849 T^{20} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 36 T^{2} - 49 T^{3} + 468 T^{4} - 338 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 - 2 T + 36 T^{2} - 49 T^{3} + 468 T^{4} - 338 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} - 48 T^{3} - 160 T^{4} - 624 T^{5} + 2873 T^{6} + 8788 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} + 389 T^{3} + 1556 T^{4} + 5057 T^{5} + 12337 T^{6} + 21970 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} + 389 T^{3} + 1556 T^{4} + 5057 T^{5} + 12337 T^{6} + 21970 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} - 48 T^{3} - 160 T^{4} - 624 T^{5} + 2873 T^{6} + 8788 T^{7} + 28561 T^{8} )^{2} \))(\( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 + 3 T - 4 T^{2} + 39 T^{3} + 169 T^{4} \))(\( ( 1 - 43 T^{2} + 981 T^{4} - 14582 T^{6} + 191918 T^{8} - 2464358 T^{10} + 28018341 T^{12} - 207552787 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 82 T^{2} + 3057 T^{4} - 69371 T^{6} + 1073570 T^{8} - 11723699 T^{10} + 87310977 T^{12} - 395798338 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 2 T^{2} + 81 T^{4} - 2123 T^{6} - 31690 T^{8} - 358787 T^{10} + 2313441 T^{12} + 9653618 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 82 T^{2} + 3129 T^{4} - 73034 T^{6} + 1144484 T^{8} - 12342746 T^{10} + 89367369 T^{12} - 395798338 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( ( 1 + T + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 - T + 17 T^{2} )^{2} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( ( 1 - T + 17 T^{2} )^{2} \))(\( ( 1 + T + 17 T^{2} )^{2} \))(\( ( 1 + 24 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 24 T^{2} + 289 T^{4} )^{8} \))(\( ( 1 + 39 T^{2} + 455 T^{4} - 2382 T^{6} - 47987 T^{8} + 145305 T^{10} - 13868243 T^{12} - 198947022 T^{14} + 10982593895 T^{16} + 272054540199 T^{18} + 2015993900449 T^{20} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{4}( 1 + 8 T + 17 T^{2} )^{4} \))(\( ( 1 - 8 T + 17 T^{2} )^{4}( 1 + 8 T + 17 T^{2} )^{4} \))(\( ( 1 + 72 T^{2} + 2652 T^{4} + 65784 T^{6} + 1248326 T^{8} + 19011576 T^{10} + 221497692 T^{12} + 1737904968 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 87 T^{2} + 3537 T^{4} + 92514 T^{6} + 1788926 T^{8} + 26736546 T^{10} + 295413777 T^{12} + 2099968503 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 7 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 54 T^{2} + 203 T^{3} + 918 T^{4} + 1734 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 8 T + 35 T^{2} - 167 T^{3} + 886 T^{4} - 2839 T^{5} + 10115 T^{6} - 39304 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} + 189 T^{3} + 807 T^{4} + 3213 T^{5} + 11849 T^{6} + 14739 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 46 T^{2} + 9 T^{3} + 1261 T^{4} + 198 T^{5} + 21437 T^{6} + 2601 T^{7} + 225998 T^{8} + 1419857 T^{10} )^{2} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 36 T^{2} + 14 T^{3} + 826 T^{4} + 262 T^{5} - 16321 T^{6} + 4454 T^{7} + 238714 T^{8} + 68782 T^{9} - 3006756 T^{10} - 2839714 T^{11} + 24137569 T^{12} \))(\( 1 + 2 T - 36 T^{2} - 14 T^{3} + 826 T^{4} - 262 T^{5} - 16321 T^{6} - 4454 T^{7} + 238714 T^{8} - 68782 T^{9} - 3006756 T^{10} + 2839714 T^{11} + 24137569 T^{12} \))(\( ( 1 - 2 T - 4 T^{2} + 52 T^{3} - 293 T^{4} + 884 T^{5} - 1156 T^{6} - 9826 T^{7} + 83521 T^{8} )^{2} \))(\( 1 + 4 T - 29 T^{2} - 246 T^{3} + 203 T^{4} + 5446 T^{5} + 13245 T^{6} - 47608 T^{7} - 341903 T^{8} - 809336 T^{9} + 3827805 T^{10} + 26756198 T^{11} + 16954763 T^{12} - 349284822 T^{13} - 699989501 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 - 4 T - 29 T^{2} + 246 T^{3} + 203 T^{4} - 5446 T^{5} + 13245 T^{6} + 47608 T^{7} - 341903 T^{8} + 809336 T^{9} + 3827805 T^{10} - 26756198 T^{11} + 16954763 T^{12} + 349284822 T^{13} - 699989501 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} \))(\( ( 1 + 2 T - 4 T^{2} - 52 T^{3} - 293 T^{4} - 884 T^{5} - 1156 T^{6} + 9826 T^{7} + 83521 T^{8} )^{2} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 - 60 T^{2} + 1608 T^{4} - 25848 T^{6} + 271234 T^{8} - 432516 T^{10} - 52024320 T^{12} + 967086156 T^{14} - 12371794029 T^{16} + 279487899084 T^{18} - 4345123230720 T^{20} - 10439884793604 T^{22} + 1892062593752194 T^{24} - 52109410338805752 T^{26} + 936856557465455688 T^{28} - 10102669593564055740 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 18 T^{2} + 255 T^{4} + 10500 T^{6} - 283019 T^{8} + 4453854 T^{10} + 2888559 T^{12} - 1373182944 T^{14} + 31467444945 T^{16} - 396849870816 T^{18} + 241255336239 T^{20} + 107505208240926 T^{22} - 1974271895194379 T^{24} + 21167935954714500 T^{26} + 148568670493589055 T^{28} - 3030800878069216722 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 102 T^{2} + 5415 T^{4} - 206640 T^{6} + 6384925 T^{8} - 167030250 T^{10} + 3794350455 T^{12} - 76308529980 T^{14} + 1371191367105 T^{16} - 22053165164220 T^{18} + 316907944352055 T^{20} - 4031704184462250 T^{22} + 44539688078976925 T^{24} - 416584979588781360 T^{26} + 3154899414599155815 T^{28} - 17174538309058894758 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 84 T^{2} + 3672 T^{4} - 107400 T^{6} + 2312962 T^{8} - 37424988 T^{10} + 449629056 T^{12} - 4067785692 T^{14} + 43331761299 T^{16} - 1175590064988 T^{18} + 37553468386176 T^{20} - 903348230174172 T^{22} + 16134661882250242 T^{24} - 216517744908222600 T^{26} + 2139388855107682392 T^{28} - 14143737430989678036 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T - 9 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 38 T^{3} + 361 T^{4} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( 1 - 2 T + 6 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 9 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( ( 1 - 14 T^{2} - 189 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 66 T^{2} + 1791 T^{4} - 23826 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 - 70 T^{2} + 3325 T^{4} - 107448 T^{6} + 2823098 T^{8} - 58351460 T^{10} + 1019138378 T^{12} - 14002730808 T^{14} + 156427554325 T^{16} - 1188849412870 T^{18} + 6131066257801 T^{20} )^{2} \))(\( ( 1 - 8 T + 30 T^{2} - 112 T^{3} + 611 T^{4} - 2128 T^{5} + 10830 T^{6} - 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 8 T + 30 T^{2} - 112 T^{3} + 611 T^{4} - 2128 T^{5} + 10830 T^{6} - 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 100 T^{2} + 4914 T^{4} - 156608 T^{6} + 3515195 T^{8} - 56535488 T^{10} + 640397394 T^{12} - 4704588100 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 112 T^{2} + 5952 T^{4} - 197456 T^{6} + 4482014 T^{8} - 71281616 T^{10} + 775670592 T^{12} - 5269138672 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( ( 1 - 7 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2} \))(\( ( 1 + 9 T + 63 T^{2} + 323 T^{3} + 1197 T^{4} + 3249 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + 2 T + 55 T^{2} + 41 T^{3} + 1309 T^{4} + 779 T^{5} + 19855 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 4 T + 49 T^{2} + 193 T^{3} + 1297 T^{4} + 3667 T^{5} + 17689 T^{6} + 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - T + 42 T^{2} - 66 T^{3} + 1281 T^{4} - 1209 T^{5} + 24339 T^{6} - 23826 T^{7} + 288078 T^{8} - 130321 T^{9} + 2476099 T^{10} )^{2} \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 - 5 T - 34 T^{2} + 63 T^{3} + 1465 T^{4} - 1156 T^{5} - 29405 T^{6} - 21964 T^{7} + 528865 T^{8} + 432117 T^{9} - 4430914 T^{10} - 12380495 T^{11} + 47045881 T^{12} \))(\( 1 - 5 T - 34 T^{2} + 63 T^{3} + 1465 T^{4} - 1156 T^{5} - 29405 T^{6} - 21964 T^{7} + 528865 T^{8} + 432117 T^{9} - 4430914 T^{10} - 12380495 T^{11} + 47045881 T^{12} \))(\( 1 + 6 T - 5 T^{2} + 114 T^{3} + 877 T^{4} - 936 T^{5} + 9706 T^{6} + 54060 T^{7} - 159614 T^{8} + 1027140 T^{9} + 3503866 T^{10} - 6420024 T^{11} + 114291517 T^{12} + 282275286 T^{13} - 235229405 T^{14} + 5363230434 T^{15} + 16983563041 T^{16} \))(\( 1 - T + 3 T^{2} + 94 T^{3} - 40 T^{4} - 786 T^{5} - 206 T^{6} - 9541 T^{7} - 158247 T^{8} - 181279 T^{9} - 74366 T^{10} - 5391174 T^{11} - 5212840 T^{12} + 232753306 T^{13} + 141137643 T^{14} - 893871739 T^{15} + 16983563041 T^{16} \))(\( 1 - T + 3 T^{2} + 94 T^{3} - 40 T^{4} - 786 T^{5} - 206 T^{6} - 9541 T^{7} - 158247 T^{8} - 181279 T^{9} - 74366 T^{10} - 5391174 T^{11} - 5212840 T^{12} + 232753306 T^{13} + 141137643 T^{14} - 893871739 T^{15} + 16983563041 T^{16} \))(\( 1 + 6 T - 5 T^{2} + 114 T^{3} + 877 T^{4} - 936 T^{5} + 9706 T^{6} + 54060 T^{7} - 159614 T^{8} + 1027140 T^{9} + 3503866 T^{10} - 6420024 T^{11} + 114291517 T^{12} + 282275286 T^{13} - 235229405 T^{14} + 5363230434 T^{15} + 16983563041 T^{16} \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 + 3 T + 53 T^{2} + 150 T^{3} + 1437 T^{4} + 3069 T^{5} + 23386 T^{6} + 40311 T^{7} + 338342 T^{8} + 765909 T^{9} + 8442346 T^{10} + 21050271 T^{11} + 187271277 T^{12} + 371414850 T^{13} + 2493431693 T^{14} + 2681615217 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} - 78 T^{3} + 252 T^{4} + 714 T^{5} - 4994 T^{6} + 81579 T^{7} - 245935 T^{8} + 1550001 T^{9} - 1802834 T^{10} + 4897326 T^{11} + 32840892 T^{12} - 193135722 T^{13} + 1364330549 T^{14} - 2681615217 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 9 T + 77 T^{2} + 450 T^{3} + 2244 T^{4} + 11718 T^{5} + 59482 T^{6} + 301239 T^{7} + 1433825 T^{8} + 5723541 T^{9} + 21473002 T^{10} + 80373762 T^{11} + 292440324 T^{12} + 1114244550 T^{13} + 3622532837 T^{14} + 8044845651 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 9 T^{4} + 336 T^{5} - 6794 T^{6} + 56748 T^{7} - 289030 T^{8} + 1078212 T^{9} - 2452634 T^{10} + 2304624 T^{11} + 1172889 T^{12} - 163422534 T^{13} + 1082055263 T^{14} - 5363230434 T^{15} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 - 3 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 4 T + 47 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 44 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 55 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 55 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 44 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 47 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 + 5 T + 23 T^{2} )^{2} \))(\( ( 1 - 5 T + 23 T^{2} )^{2} \))(\( ( 1 + 84 T^{2} + 2807 T^{4} + 44436 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 + 52 T^{2} + 2430 T^{4} + 71312 T^{6} + 1906499 T^{8} + 37724048 T^{10} + 680013630 T^{12} + 7697866228 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 139 T^{2} + 10081 T^{4} + 485484 T^{6} + 16965806 T^{8} + 447075730 T^{10} + 8974911374 T^{12} + 135858328044 T^{14} + 1492349797009 T^{16} + 10885226954059 T^{18} + 41426511213649 T^{20} )^{2} \))(\( ( 1 - 8 T + 46 T^{2} - 88 T^{3} + 231 T^{4} - 2024 T^{5} + 24334 T^{6} - 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 8 T + 46 T^{2} + 88 T^{3} + 231 T^{4} + 2024 T^{5} + 24334 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 21 T^{2} + 697 T^{4} - 11718 T^{6} + 312438 T^{8} - 6198822 T^{10} + 195049177 T^{12} - 3108753669 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 99 T^{2} + 5182 T^{4} - 187533 T^{6} + 5005890 T^{8} - 99204957 T^{10} + 1450136062 T^{12} - 14655553011 T^{14} + 78310985281 T^{16} )^{2} \))(\( 1 - 5 T + 2 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 12 T^{2} - 130 T^{3} - 18 T^{4} + 3282 T^{5} - 7909 T^{6} + 75486 T^{7} - 9522 T^{8} - 1581710 T^{9} + 3358092 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 5 T - 28 T^{2} + 177 T^{3} - 25 T^{4} + 494 T^{5} - 12137 T^{6} - 44331 T^{7} + 708646 T^{8} - 1019613 T^{9} - 6420473 T^{10} + 6010498 T^{11} - 6996025 T^{12} + 1139232711 T^{13} - 4145004892 T^{14} - 17024127235 T^{15} + 78310985281 T^{16} \))(\( 1 + 2 T - 59 T^{2} - 192 T^{3} + 1775 T^{4} + 6170 T^{5} - 33567 T^{6} - 71510 T^{7} + 655807 T^{8} - 1644730 T^{9} - 17756943 T^{10} + 75070390 T^{11} + 496717775 T^{12} - 1235777856 T^{13} - 8734117451 T^{14} + 6809650894 T^{15} + 78310985281 T^{16} \))(\( 1 + 8 T + 9 T^{2} + 222 T^{3} + 2650 T^{4} + 9138 T^{5} + 54826 T^{6} + 441030 T^{7} + 1653286 T^{8} + 8929410 T^{9} + 60424408 T^{10} + 205376430 T^{11} + 874588294 T^{12} + 5366012010 T^{13} + 15342562666 T^{14} + 58815302334 T^{15} + 392295105850 T^{16} + 755871249234 T^{17} + 704798867529 T^{18} + 14409221291704 T^{19} + 41426511213649 T^{20} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 19 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 19 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 60 T^{2} - 38 T^{3} + 2458 T^{4} + 482 T^{5} - 65101 T^{6} + 11086 T^{7} + 1300282 T^{8} - 462346 T^{9} - 16790460 T^{10} + 12872686 T^{11} + 148035889 T^{12} \))(\( 1 - 2 T - 60 T^{2} + 38 T^{3} + 2458 T^{4} - 482 T^{5} - 65101 T^{6} - 11086 T^{7} + 1300282 T^{8} + 462346 T^{9} - 16790460 T^{10} - 12872686 T^{11} + 148035889 T^{12} \))(\( 1 - 2 T - 10 T^{2} + 72 T^{3} - 922 T^{4} + 2222 T^{5} + 760 T^{6} - 57846 T^{7} + 692635 T^{8} - 1330458 T^{9} + 402040 T^{10} + 27035074 T^{11} - 258013402 T^{12} + 463416696 T^{13} - 1480358890 T^{14} - 6809650894 T^{15} + 78310985281 T^{16} \))(\( 1 - 12 T + 61 T^{2} - 194 T^{3} + 271 T^{4} + 838 T^{5} - 11959 T^{6} + 133924 T^{7} - 856813 T^{8} + 3080252 T^{9} - 6326311 T^{10} + 10195946 T^{11} + 75836911 T^{12} - 1248650542 T^{13} + 9030189229 T^{14} - 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 + 12 T + 61 T^{2} + 194 T^{3} + 271 T^{4} - 838 T^{5} - 11959 T^{6} - 133924 T^{7} - 856813 T^{8} - 3080252 T^{9} - 6326311 T^{10} - 10195946 T^{11} + 75836911 T^{12} + 1248650542 T^{13} + 9030189229 T^{14} + 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 + 2 T - 10 T^{2} - 72 T^{3} - 922 T^{4} - 2222 T^{5} + 760 T^{6} + 57846 T^{7} + 692635 T^{8} + 1330458 T^{9} + 402040 T^{10} - 27035074 T^{11} - 258013402 T^{12} - 463416696 T^{13} - 1480358890 T^{14} + 6809650894 T^{15} + 78310985281 T^{16} \))(\( ( 1 + T + 23 T^{2} )^{2} \))(\( ( 1 + 5 T + 23 T^{2} )^{2} \))(\( ( 1 + 42 T^{2} + 1235 T^{4} + 22218 T^{6} + 279841 T^{8} )^{4} \))(\( 1 + 90 T^{2} + 3623 T^{4} + 86400 T^{6} + 1618033 T^{8} + 39578310 T^{10} + 1297280747 T^{12} + 38239323840 T^{14} + 946740877921 T^{16} + 20228602311360 T^{18} + 363032341521227 T^{20} + 5859010305967590 T^{22} + 126709758447172273 T^{24} + 3579250568859273600 T^{26} + 79396684317209622983 T^{28} + \)\(10\!\cdots\!10\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 102 T^{2} + 6023 T^{4} + 223644 T^{6} + 5387737 T^{8} + 54053766 T^{10} - 1721404285 T^{12} - 106929141708 T^{14} - 3095815766783 T^{16} - 56565515963532 T^{18} - 481719496518685 T^{20} + 8001897303607974 T^{22} + 421918992904899097 T^{24} + 9264790673865316956 T^{26} + \)\(13\!\cdots\!83\)\( T^{28} + \)\(11\!\cdots\!18\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 48 T^{2} + 32 T^{4} - 22848 T^{6} + 227938 T^{8} + 14969952 T^{10} - 71080576 T^{12} - 4283552784 T^{14} - 14608125629 T^{16} - 2265999422736 T^{18} - 19891259468416 T^{20} + 2216090152607328 T^{22} + 17850049362980578 T^{24} - 946512928209452352 T^{26} + 701267981824650272 T^{28} + \)\(55\!\cdots\!32\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 9 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 4 T + 14 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 62 T^{2} + 203 T^{3} + 841 T^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( 1 - 7 T + 62 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 23 T^{2} + 841 T^{4} \))(\( 1 + 23 T^{2} + 841 T^{4} \))(\( ( 1 - 52 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 44 T^{2} + 960 T^{4} - 18676 T^{6} + 833774 T^{8} - 15706516 T^{10} + 678989760 T^{12} - 26172226124 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 189 T^{2} + 17145 T^{4} - 999612 T^{6} + 42327774 T^{8} - 1383568894 T^{10} + 35597657934 T^{12} - 707006574972 T^{14} + 10198245838545 T^{16} - 94546572049629 T^{18} + 420707233300201 T^{20} )^{2} \))(\( ( 1 + 6 T + 64 T^{2} + 174 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 - 6 T + 64 T^{2} - 174 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 - 172 T^{2} + 14052 T^{4} - 714740 T^{6} + 24798806 T^{8} - 601096340 T^{10} + 9938712612 T^{12} - 102309611212 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 103 T^{2} + 5226 T^{4} - 168029 T^{6} + 4755218 T^{8} - 141312389 T^{10} + 3696250506 T^{12} - 61266802063 T^{14} + 500246412961 T^{16} )^{2} \))(\( 1 + T - 28 T^{2} + 29 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 - 2 T - 25 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 4 T - 13 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 + 3 T - 42 T^{2} - 157 T^{3} + 657 T^{4} + 1554 T^{5} - 10195 T^{6} + 45066 T^{7} + 552537 T^{8} - 3829073 T^{9} - 29705802 T^{10} + 61533447 T^{11} + 594823321 T^{12} \))(\( 1 + T - 49 T^{2} - 294 T^{3} + 1136 T^{4} + 11204 T^{5} + 49096 T^{6} - 227337 T^{7} - 2198075 T^{8} - 6592773 T^{9} + 41289736 T^{10} + 273254356 T^{11} + 803471216 T^{12} - 6030277806 T^{13} - 29146342729 T^{14} + 17249876309 T^{15} + 500246412961 T^{16} \))(\( 1 - 9 T + 13 T^{2} - 72 T^{3} + 904 T^{4} - 2970 T^{5} + 29086 T^{6} - 17613 T^{7} - 1095047 T^{8} - 510777 T^{9} + 24461326 T^{10} - 72435330 T^{11} + 639382024 T^{12} - 1476802728 T^{13} + 7732703173 T^{14} - 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 - 9 T - 52 T^{2} + 657 T^{3} + 1944 T^{4} - 29007 T^{5} - 46389 T^{6} + 788049 T^{7} + 920775 T^{8} - 10497078 T^{9} - 9302769 T^{10} - 304415262 T^{11} + 774371775 T^{12} + 19219727061 T^{13} - 32810058309 T^{14} - 594966899043 T^{15} + 1156336536024 T^{16} + 11333168735013 T^{17} - 26012813473972 T^{18} - 130564313782821 T^{19} + 420707233300201 T^{20} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + T + 37 T^{2} - 71 T^{3} + 1073 T^{4} + 841 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - T + 37 T^{2} + 71 T^{3} + 1073 T^{4} - 841 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 8 T + 36 T^{2} - 24 T^{3} - 182 T^{4} - 696 T^{5} + 30276 T^{6} - 195112 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} - 387 T^{3} + 2091 T^{4} - 11223 T^{5} + 49619 T^{6} - 146334 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} + 387 T^{3} + 2091 T^{4} + 11223 T^{5} + 49619 T^{6} + 146334 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 8 T + 36 T^{2} + 24 T^{3} - 182 T^{4} + 696 T^{5} + 30276 T^{6} + 195112 T^{7} + 707281 T^{8} )^{2} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + T - 28 T^{2} + 29 T^{3} + 841 T^{4} \))(\( ( 1 + 20 T^{2} + 72 T^{4} - 21860 T^{6} - 211090 T^{8} - 18384260 T^{10} + 50924232 T^{12} + 11896466420 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 202 T^{2} + 18483 T^{4} - 1005083 T^{6} + 35645051 T^{8} - 845274803 T^{10} + 13072674723 T^{12} - 120154310842 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 154 T^{2} + 12171 T^{4} - 609827 T^{6} + 21113243 T^{8} - 512864507 T^{10} + 8608317051 T^{12} - 91602791434 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 172 T^{2} + 13800 T^{4} - 688724 T^{6} + 23709710 T^{8} - 579216884 T^{10} + 9760477800 T^{12} - 102309611212 T^{14} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 + T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 + 10 T + 75 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 - 11 T + 84 T^{2} - 341 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 11 T + 84 T^{2} - 341 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 75 T^{2} + 310 T^{3} + 961 T^{4} \))(\( ( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 7 T + 31 T^{2} )^{8} \))(\( ( 1 - 10 T + 114 T^{2} - 800 T^{3} + 5351 T^{4} - 24800 T^{5} + 109554 T^{6} - 297910 T^{7} + 923521 T^{8} )^{4} \))(\( ( 1 - 9 T + 171 T^{2} - 1092 T^{3} + 11058 T^{4} - 50402 T^{5} + 342798 T^{6} - 1049412 T^{7} + 5094261 T^{8} - 8311689 T^{9} + 28629151 T^{10} )^{4} \))(\( 1 - 156 T^{2} + 12106 T^{4} - 610416 T^{6} + 22035219 T^{8} - 586609776 T^{10} + 11180145226 T^{12} - 138450574236 T^{14} + 852891037441 T^{16} \))(\( 1 - 156 T^{2} + 12106 T^{4} - 610416 T^{6} + 22035219 T^{8} - 586609776 T^{10} + 11180145226 T^{12} - 138450574236 T^{14} + 852891037441 T^{16} \))(\( ( 1 - 187 T^{2} + 16353 T^{4} - 883634 T^{6} + 32653478 T^{8} - 849172274 T^{10} + 15102338913 T^{12} - 165963188347 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 94 T^{2} + 5349 T^{4} - 230570 T^{6} + 7832744 T^{8} - 221577770 T^{10} + 4939913829 T^{12} - 83425346014 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 - 9 T - 18 T^{2} + 79 T^{3} + 2367 T^{4} - 1422 T^{5} - 86865 T^{6} - 44082 T^{7} + 2274687 T^{8} + 2353489 T^{9} - 16623378 T^{10} - 257662359 T^{11} + 887503681 T^{12} \))(\( 1 - 11 T - 39 T^{2} + 356 T^{3} + 5954 T^{4} - 25902 T^{5} - 215174 T^{6} + 3835 T^{7} + 11112081 T^{8} + 118885 T^{9} - 206782214 T^{10} - 771646482 T^{11} + 5498644034 T^{12} + 10191977756 T^{13} - 34612643559 T^{14} - 302638755221 T^{15} + 852891037441 T^{16} \))(\( 1 - 3 T - 41 T^{2} + 354 T^{3} - 128 T^{4} - 9180 T^{5} + 42568 T^{6} + 75933 T^{7} - 1254023 T^{8} + 2353923 T^{9} + 40907848 T^{10} - 273481380 T^{11} - 118210688 T^{12} + 10134719454 T^{13} - 36387650921 T^{14} - 82537842333 T^{15} + 852891037441 T^{16} \))(\( 1 + 3 T - 106 T^{2} - 157 T^{3} + 6498 T^{4} + 2989 T^{5} - 283525 T^{6} + 3627 T^{7} + 9910699 T^{8} - 942522 T^{9} - 316500783 T^{10} - 29218182 T^{11} + 9524181739 T^{12} + 108051957 T^{13} - 261841291525 T^{14} + 85572532339 T^{15} + 5766998919138 T^{16} - 4319480415427 T^{17} - 90406449968746 T^{18} + 79318866482013 T^{19} + 819628286980801 T^{20} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( 1 + 4 T - 28 T^{2} - 402 T^{3} - 584 T^{4} + 5648 T^{5} + 67711 T^{6} + 175088 T^{7} - 561224 T^{8} - 11975982 T^{9} - 25858588 T^{10} + 114516604 T^{11} + 887503681 T^{12} \))(\( 1 + 4 T - 28 T^{2} - 402 T^{3} - 584 T^{4} + 5648 T^{5} + 67711 T^{6} + 175088 T^{7} - 561224 T^{8} - 11975982 T^{9} - 25858588 T^{10} + 114516604 T^{11} + 887503681 T^{12} \))(\( 1 + 6 T - 38 T^{2} - 348 T^{3} + 517 T^{4} + 10584 T^{5} + 34246 T^{6} - 188550 T^{7} - 2230412 T^{8} - 5845050 T^{9} + 32910406 T^{10} + 315307944 T^{11} + 477460357 T^{12} - 9962944548 T^{13} - 33725139878 T^{14} + 165075684666 T^{15} + 852891037441 T^{16} \))(\( 1 - 8 T + 9 T^{2} + 102 T^{3} - 1287 T^{4} + 10998 T^{5} - 5977 T^{6} - 318082 T^{7} + 2302767 T^{8} - 9860542 T^{9} - 5743897 T^{10} + 327641418 T^{11} - 1188571527 T^{12} + 2920173402 T^{13} + 7987533129 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 - 8 T + 9 T^{2} + 102 T^{3} - 1287 T^{4} + 10998 T^{5} - 5977 T^{6} - 318082 T^{7} + 2302767 T^{8} - 9860542 T^{9} - 5743897 T^{10} + 327641418 T^{11} - 1188571527 T^{12} + 2920173402 T^{13} + 7987533129 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 + 6 T - 38 T^{2} - 348 T^{3} + 517 T^{4} + 10584 T^{5} + 34246 T^{6} - 188550 T^{7} - 2230412 T^{8} - 5845050 T^{9} + 32910406 T^{10} + 315307944 T^{11} + 477460357 T^{12} - 9962944548 T^{13} - 33725139878 T^{14} + 165075684666 T^{15} + 852891037441 T^{16} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( ( 1 - 12 T + 128 T^{2} - 960 T^{3} + 6003 T^{4} - 31164 T^{5} + 137488 T^{6} - 590424 T^{7} + 2895416 T^{8} - 18303144 T^{9} + 132125968 T^{10} - 928406724 T^{11} + 5543896563 T^{12} - 27483984960 T^{13} + 113600471168 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 3 T + 56 T^{2} - 159 T^{3} + 429 T^{4} - 4290 T^{5} + 41239 T^{6} - 259953 T^{7} + 3221834 T^{8} - 8058543 T^{9} + 39630679 T^{10} - 127803390 T^{11} + 396190509 T^{12} - 4552035009 T^{13} + 49700206136 T^{14} - 82537842333 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 12 T + 143 T^{2} - 1140 T^{3} + 8619 T^{4} - 60864 T^{5} + 400903 T^{6} - 2550678 T^{7} + 14613095 T^{8} - 79071018 T^{9} + 385267783 T^{10} - 1813199424 T^{11} + 7959827499 T^{12} - 32637232140 T^{13} + 126913026383 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 6 T + 92 T^{2} + 480 T^{3} + 4695 T^{4} + 32340 T^{5} + 192520 T^{6} + 1356474 T^{7} + 5862920 T^{8} + 42050694 T^{9} + 185011720 T^{10} + 963440940 T^{11} + 4335931095 T^{12} + 13741992480 T^{13} + 81650338652 T^{14} + 165075684666 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 - 10 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 6 T + 71 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 68 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 55 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 55 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 68 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 71 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 110 T^{2} + 5523 T^{4} - 150590 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 192 T^{2} + 17010 T^{4} - 960672 T^{6} + 40219139 T^{8} - 1315159968 T^{10} + 31879478610 T^{12} - 492619470528 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 22 T^{2} + 1771 T^{4} + 13920 T^{6} + 526445 T^{8} + 112600450 T^{10} + 720703205 T^{12} + 26088321120 T^{14} + 4543901470339 T^{16} - 77274547986262 T^{18} + 4808584372417849 T^{20} )^{2} \))(\( 1 - 164 T^{2} + 14154 T^{4} - 829168 T^{6} + 35617331 T^{8} - 1135130992 T^{10} + 26526874794 T^{12} - 420779131076 T^{14} + 3512479453921 T^{16} \))(\( 1 - 164 T^{2} + 14154 T^{4} - 829168 T^{6} + 35617331 T^{8} - 1135130992 T^{10} + 26526874794 T^{12} - 420779131076 T^{14} + 3512479453921 T^{16} \))(\( ( 1 + 2 T + 52 T^{2} - 100 T^{3} + 949 T^{4} - 3700 T^{5} + 71188 T^{6} + 101306 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 2 T + 49 T^{2} + 410 T^{3} + 1084 T^{4} + 15170 T^{5} + 67081 T^{6} + 101306 T^{7} + 1874161 T^{8} )^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 15 T + 165 T^{2} + 1167 T^{3} + 6105 T^{4} + 20535 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 27 T + 412 T^{2} - 4104 T^{3} + 29436 T^{4} - 151848 T^{5} + 564028 T^{6} - 1367631 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 3 T + 140 T^{2} - 324 T^{3} + 7620 T^{4} - 11988 T^{5} + 191660 T^{6} - 151959 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 3 T + 103 T^{2} + 197 T^{3} + 6112 T^{4} + 11312 T^{5} + 226144 T^{6} + 269693 T^{7} + 5217259 T^{8} + 5622483 T^{9} + 69343957 T^{10} )^{2} \))(\( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( ( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} ) \))(\( 1 - 37 T^{2} + 1369 T^{4} \))(\( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( ( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} ) \))(\( 1 - 37 T^{2} + 1369 T^{4} \))(\( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 - 8 T - 2 T^{2} + 254 T^{3} - 1214 T^{4} + 2314 T^{5} + 5399 T^{6} + 85618 T^{7} - 1661966 T^{8} + 12865862 T^{9} - 3748322 T^{10} - 554751656 T^{11} + 2565726409 T^{12} \))(\( 1 - 8 T - 2 T^{2} + 254 T^{3} - 1214 T^{4} + 2314 T^{5} + 5399 T^{6} + 85618 T^{7} - 1661966 T^{8} + 12865862 T^{9} - 3748322 T^{10} - 554751656 T^{11} + 2565726409 T^{12} \))(\( 1 - 61 T^{2} - 648 T^{3} + 2017 T^{4} + 31752 T^{5} + 168050 T^{6} - 910440 T^{7} - 7948706 T^{8} - 33686280 T^{9} + 230060450 T^{10} + 1608334056 T^{11} + 3780182737 T^{12} - 44934884136 T^{13} - 156509310949 T^{14} + 3512479453921 T^{16} \))(\( 1 - 63 T^{2} - 114 T^{3} + 1781 T^{4} + 5700 T^{5} + 37899 T^{6} - 141018 T^{7} - 2640591 T^{8} - 5217666 T^{9} + 51883731 T^{10} + 288722100 T^{11} + 3337880741 T^{12} - 7905211098 T^{13} - 161640763767 T^{14} + 3512479453921 T^{16} \))(\( 1 - 63 T^{2} - 114 T^{3} + 1781 T^{4} + 5700 T^{5} + 37899 T^{6} - 141018 T^{7} - 2640591 T^{8} - 5217666 T^{9} + 51883731 T^{10} + 288722100 T^{11} + 3337880741 T^{12} - 7905211098 T^{13} - 161640763767 T^{14} + 3512479453921 T^{16} \))(\( 1 - 61 T^{2} - 648 T^{3} + 2017 T^{4} + 31752 T^{5} + 168050 T^{6} - 910440 T^{7} - 7948706 T^{8} - 33686280 T^{9} + 230060450 T^{10} + 1608334056 T^{11} + 3780182737 T^{12} - 44934884136 T^{13} - 156509310949 T^{14} + 3512479453921 T^{16} \))(\( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( ( 1 + 13 T + 30 T^{2} - 433 T^{3} - 2773 T^{4} + 1236 T^{5} + 49036 T^{6} + 50032 T^{7} - 855540 T^{8} + 1851184 T^{9} + 67130284 T^{10} + 62607108 T^{11} - 5197048453 T^{12} - 30025933381 T^{13} + 76971792270 T^{14} + 1234114402729 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 4 T - 81 T^{2} - 658 T^{3} + 2861 T^{4} + 34434 T^{5} + 29479 T^{6} - 689822 T^{7} - 3398823 T^{8} - 25523414 T^{9} + 40356751 T^{10} + 1744185402 T^{11} + 5361974621 T^{12} - 45628323706 T^{13} - 207823839129 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 8 T - 57 T^{2} + 338 T^{3} + 3173 T^{4} - 3270 T^{5} - 191105 T^{6} + 39214 T^{7} + 7776297 T^{8} + 1450918 T^{9} - 261622745 T^{10} - 165635310 T^{11} + 5946712853 T^{12} + 23438257466 T^{13} - 146246405313 T^{14} - 759455017064 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 8 T - 75 T^{2} + 608 T^{3} + 4901 T^{4} - 30720 T^{5} - 182438 T^{6} + 434008 T^{7} + 7645374 T^{8} + 16058296 T^{9} - 249757622 T^{10} - 1556060160 T^{11} + 9185263061 T^{12} + 42161125856 T^{13} - 192429480675 T^{14} - 759455017064 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 11 T + 41 T^{2} \))(\( 1 + T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 8 T + 71 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 7 T + 20 T^{2} - 287 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 111 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 - 12 T + 111 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 7 T + 20 T^{2} + 287 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 71 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 12 T^{2} + 2663 T^{4} + 20172 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 220 T^{2} + 24294 T^{4} + 1713680 T^{6} + 83598011 T^{8} + 2880696080 T^{10} + 68649037734 T^{12} + 1045022933020 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 190 T^{2} + 16651 T^{4} + 899952 T^{6} + 36306749 T^{8} + 1400716342 T^{10} + 61031645069 T^{12} + 2543049263472 T^{14} + 79093985716891 T^{16} + 1517135793532990 T^{18} + 13422659310152401 T^{20} )^{2} \))(\( 1 - 116 T^{2} + 11362 T^{4} - 660608 T^{6} + 32960203 T^{8} - 1110482048 T^{10} + 32106296482 T^{12} - 551012091956 T^{14} + 7984925229121 T^{16} \))(\( 1 - 116 T^{2} + 11362 T^{4} - 660608 T^{6} + 32960203 T^{8} - 1110482048 T^{10} + 32106296482 T^{12} - 551012091956 T^{14} + 7984925229121 T^{16} \))(\( ( 1 + 135 T^{2} + 11289 T^{4} + 646218 T^{6} + 29821310 T^{8} + 1086292458 T^{10} + 31900015929 T^{12} + 641264072535 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 102 T^{2} + 10017 T^{4} + 548706 T^{6} + 28065644 T^{8} + 922374786 T^{10} + 28305647937 T^{12} + 484510632582 T^{14} + 7984925229121 T^{16} )^{2} \))(\( 1 + 5 T - 16 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - 7 T + 8 T^{2} - 287 T^{3} + 1681 T^{4} \))(\( 1 + 8 T + 23 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 7 T + 8 T^{2} - 287 T^{3} + 1681 T^{4} \))(\( 1 - 6 T - 72 T^{2} + 298 T^{3} + 4398 T^{4} - 8034 T^{5} - 177169 T^{6} - 329394 T^{7} + 7393038 T^{8} + 20538458 T^{9} - 203454792 T^{10} - 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 + 2 T - 37 T^{2} - 432 T^{3} - 841 T^{4} + 13042 T^{5} + 100489 T^{6} - 72294 T^{7} - 3776099 T^{8} - 2964054 T^{9} + 168922009 T^{10} + 898867682 T^{11} - 2376465001 T^{12} - 50049878832 T^{13} - 175753856917 T^{14} + 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 + 9 T - 36 T^{2} - 381 T^{3} + 895 T^{4} - 852 T^{5} - 99027 T^{6} + 57981 T^{7} + 4458864 T^{8} + 2377221 T^{9} - 166464387 T^{10} - 58720692 T^{11} + 2529056095 T^{12} - 44141212581 T^{13} - 171003752676 T^{14} + 1752788464929 T^{15} + 7984925229121 T^{16} \))(\( 1 - 12 T - 30 T^{2} + 790 T^{3} - 277 T^{4} - 13968 T^{5} - 140563 T^{6} + 610562 T^{7} + 9173539 T^{8} - 24360490 T^{9} - 273097535 T^{10} - 998780090 T^{11} + 15420719059 T^{12} + 42080543602 T^{13} - 397197443443 T^{14} - 1618279415568 T^{15} - 1315778874757 T^{16} + 153855876365990 T^{17} - 239547756873630 T^{18} - 3928583212727532 T^{19} + 13422659310152401 T^{20} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 66 T^{2} - 137 T^{3} + 2706 T^{4} + 68921 T^{6} )^{2} \))(\( ( 1 + 66 T^{2} + 137 T^{3} + 2706 T^{4} + 68921 T^{6} )^{2} \))(\( ( 1 + 8 T + 60 T^{2} + 456 T^{3} + 2554 T^{4} + 18696 T^{5} + 100860 T^{6} + 551368 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 6 T + 127 T^{2} + 453 T^{3} + 6650 T^{4} + 18573 T^{5} + 213487 T^{6} + 413526 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 6 T + 127 T^{2} - 453 T^{3} + 6650 T^{4} - 18573 T^{5} + 213487 T^{6} - 413526 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 8 T + 60 T^{2} - 456 T^{3} + 2554 T^{4} - 18696 T^{5} + 100860 T^{6} - 551368 T^{7} + 2825761 T^{8} )^{2} \))(\( 1 - 7 T + 8 T^{2} - 287 T^{3} + 1681 T^{4} \))(\( 1 + 5 T - 16 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( ( 1 + 156 T^{2} + 13128 T^{4} + 762324 T^{6} + 34666958 T^{8} + 1281466644 T^{10} + 37096590408 T^{12} + 741016261596 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 198 T^{2} + 18957 T^{4} + 1188399 T^{6} + 55361954 T^{8} + 1997698719 T^{10} + 53567951277 T^{12} + 940520639718 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 222 T^{2} + 24117 T^{4} + 1673415 T^{6} + 81144722 T^{8} + 2813010615 T^{10} + 68148878037 T^{12} + 1054523141502 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 12 T^{2} + 3384 T^{4} - 4212 T^{6} + 5494286 T^{8} - 7080372 T^{10} + 9562375224 T^{12} - 57001250892 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 + T + 43 T^{2} \))(\( 1 - 9 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 9 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 4 T + 78 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 57 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 62 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 62 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 57 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 61 T^{2} + 1849 T^{4} \))(\( 1 - 61 T^{2} + 1849 T^{4} \))(\( ( 1 - 92 T^{2} + 4314 T^{4} - 170108 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 + 32 T^{2} + 4920 T^{4} + 158992 T^{6} + 11619614 T^{8} + 293976208 T^{10} + 16820500920 T^{12} + 202283617568 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 131 T^{2} + 5615 T^{4} - 93162 T^{6} + 5954173 T^{8} - 455929005 T^{10} + 11009265877 T^{12} - 318502338762 T^{14} + 35494453520135 T^{16} - 1531154236365731 T^{18} + 21611482313284249 T^{20} )^{2} \))(\( ( 1 - 4 T + 84 T^{2} - 44 T^{3} + 3002 T^{4} - 1892 T^{5} + 155316 T^{6} - 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 4 T + 84 T^{2} - 44 T^{3} + 3002 T^{4} - 1892 T^{5} + 155316 T^{6} - 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 2 T + 40 T^{2} + 118 T^{3} - 194 T^{4} + 5074 T^{5} + 73960 T^{6} - 159014 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 - 5 T + 109 T^{2} - 248 T^{3} + 5122 T^{4} - 10664 T^{5} + 201541 T^{6} - 397535 T^{7} + 3418801 T^{8} )^{4} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( 1 + 3 T - 34 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 57 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 + 11 T + 78 T^{2} + 473 T^{3} + 1849 T^{4} \))(\( 1 - 15 T + 42 T^{2} - 199 T^{3} + 6525 T^{4} - 24624 T^{5} - 76509 T^{6} - 1058832 T^{7} + 12064725 T^{8} - 15821893 T^{9} + 143589642 T^{10} - 2205126645 T^{11} + 6321363049 T^{12} \))(\( 1 + 11 T - 27 T^{2} - 596 T^{3} + 140 T^{4} + 2688 T^{5} - 152864 T^{6} + 330797 T^{7} + 13009029 T^{8} + 14224271 T^{9} - 282645536 T^{10} + 213714816 T^{11} + 478632140 T^{12} - 87617032028 T^{13} - 170676802323 T^{14} + 2990004722177 T^{15} + 11688200277601 T^{16} \))(\( 1 - 8 T - 73 T^{2} + 914 T^{3} + 2642 T^{4} - 51508 T^{5} + 63012 T^{6} + 1050915 T^{7} - 5977292 T^{8} + 45189345 T^{9} + 116509188 T^{10} - 4095246556 T^{11} + 9032472242 T^{12} + 134365716902 T^{13} - 461459502577 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 + 5 T - 88 T^{2} + 275 T^{3} + 6540 T^{4} - 38663 T^{5} - 127543 T^{6} + 2251353 T^{7} - 2752001 T^{8} - 27649602 T^{9} + 456453449 T^{10} - 1188932886 T^{11} - 5088449849 T^{12} + 178998322971 T^{13} - 436044135943 T^{14} - 5683787431709 T^{15} + 41341714340460 T^{16} + 74750118054425 T^{17} - 1028561624428888 T^{18} + 2512963059684215 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 7 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - 9 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - 9 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 7 T + 43 T^{2} )^{2} \))(\( ( 1 + 3 T + 9 T^{2} - 143 T^{3} + 387 T^{4} + 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 3 T + 9 T^{2} - 143 T^{3} + 387 T^{4} + 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 14 T^{2} - 72 T^{3} - 1881 T^{4} - 3096 T^{5} + 25886 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - T + 144 T^{2} - 50 T^{3} + 8638 T^{4} - 2150 T^{5} + 266256 T^{6} - 79507 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - T + 144 T^{2} - 50 T^{3} + 8638 T^{4} - 2150 T^{5} + 266256 T^{6} - 79507 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 14 T^{2} - 72 T^{3} - 1881 T^{4} - 3096 T^{5} + 25886 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 + 3 T - 34 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( ( 1 + T + 43 T^{2} )^{16} \))(\( ( 1 - 11 T + 136 T^{2} - 1220 T^{3} + 8482 T^{4} - 52460 T^{5} + 251464 T^{6} - 874577 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 13 T + 112 T^{2} + 604 T^{3} + 3358 T^{4} + 25972 T^{5} + 207088 T^{6} + 1033591 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 4 T + 94 T^{2} + 496 T^{3} + 4735 T^{4} + 21328 T^{5} + 173806 T^{6} + 318028 T^{7} + 3418801 T^{8} )^{4} \))
$47$ (\( 1 - 10 T + 47 T^{2} \))(\( 1 + 5 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 5 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 - 5 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - 5 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 + 4 T + 86 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 5 T + 92 T^{2} - 235 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 102 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 5 T + 92 T^{2} + 235 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 86 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 40 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 124 T^{2} + 7312 T^{4} + 372292 T^{6} + 18784750 T^{8} + 822393028 T^{10} + 35680227472 T^{12} + 1336622700796 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 110 T^{2} + 11187 T^{4} + 742128 T^{6} + 47768349 T^{8} + 2326511142 T^{10} + 105520282941 T^{12} + 3621347901168 T^{14} + 120587081885523 T^{16} + 2619241532793710 T^{18} + 52599132235830049 T^{20} )^{2} \))(\( ( 1 + 4 T + 76 T^{2} + 44 T^{3} + 2154 T^{4} + 2068 T^{5} + 167884 T^{6} + 415292 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 4 T + 76 T^{2} - 44 T^{3} + 2154 T^{4} - 2068 T^{5} + 167884 T^{6} - 415292 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} + 4068 T^{4} + 4972 T^{6} + 7535798 T^{8} + 10983148 T^{10} + 19850542308 T^{12} + 215584306580 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 278 T^{2} + 35193 T^{4} + 2749546 T^{6} + 150940940 T^{8} + 6073747114 T^{10} + 171730613433 T^{12} + 2996621861462 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 9 T - 66 T^{2} + 371 T^{3} + 7077 T^{4} - 20028 T^{5} - 269497 T^{6} - 941316 T^{7} + 15633093 T^{8} + 38518333 T^{9} - 322058946 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 + 7 T - 61 T^{2} + 174 T^{3} + 5108 T^{4} - 21898 T^{5} - 62918 T^{6} + 808359 T^{7} - 1538879 T^{8} + 37992873 T^{9} - 138985862 T^{10} - 2273516054 T^{11} + 24925410548 T^{12} + 39906031218 T^{13} - 657532135069 T^{14} + 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 + 3 T - 141 T^{2} - 486 T^{3} + 11422 T^{4} + 34152 T^{5} - 635364 T^{6} - 765849 T^{7} + 30578781 T^{8} - 35994903 T^{9} - 1403519076 T^{10} + 3545763096 T^{11} + 55735716382 T^{12} - 111461673402 T^{13} - 1519869361389 T^{14} + 1519869361389 T^{15} + 23811286661761 T^{16} \))(\( 1 + 3 T - 24 T^{2} - 751 T^{3} - 2770 T^{4} + 11169 T^{5} + 300305 T^{6} + 1566601 T^{7} - 499337 T^{8} - 58566752 T^{9} - 599985995 T^{10} - 2752637344 T^{11} - 1103035433 T^{12} + 162649215623 T^{13} + 1465392602705 T^{14} + 2561554383183 T^{15} - 29858426461330 T^{16} - 380473963467713 T^{17} - 571470879882264 T^{18} + 3357391419308301 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 18 T^{2} + 1225 T^{3} - 2499 T^{4} - 16644 T^{5} + 579911 T^{6} - 782268 T^{7} - 5520291 T^{8} + 127183175 T^{9} - 87834258 T^{10} - 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 3 T - 18 T^{2} - 1225 T^{3} - 2499 T^{4} + 16644 T^{5} + 579911 T^{6} + 782268 T^{7} - 5520291 T^{8} - 127183175 T^{9} - 87834258 T^{10} + 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 20 T + 196 T^{2} + 1464 T^{3} + 7286 T^{4} + 1508 T^{5} - 284064 T^{6} - 3306668 T^{7} - 27412733 T^{8} - 155413396 T^{9} - 627497376 T^{10} + 156565084 T^{11} + 35553355766 T^{12} + 335761090248 T^{13} + 2112726204484 T^{14} + 10132462409260 T^{15} + 23811286661761 T^{16} \))(\( 1 + 9 T - 67 T^{2} - 660 T^{3} + 2564 T^{4} + 7452 T^{5} - 311076 T^{6} + 354939 T^{7} + 24590333 T^{8} + 16682133 T^{9} - 687166884 T^{10} + 773688996 T^{11} + 12511502084 T^{12} - 151367704620 T^{13} - 722207427043 T^{14} + 4559608084167 T^{15} + 23811286661761 T^{16} \))(\( 1 - 9 T - 67 T^{2} + 660 T^{3} + 2564 T^{4} - 7452 T^{5} - 311076 T^{6} - 354939 T^{7} + 24590333 T^{8} - 16682133 T^{9} - 687166884 T^{10} - 773688996 T^{11} + 12511502084 T^{12} + 151367704620 T^{13} - 722207427043 T^{14} - 4559608084167 T^{15} + 23811286661761 T^{16} \))(\( 1 - 20 T + 196 T^{2} - 1464 T^{3} + 7286 T^{4} - 1508 T^{5} - 284064 T^{6} + 3306668 T^{7} - 27412733 T^{8} + 155413396 T^{9} - 627497376 T^{10} - 156565084 T^{11} + 35553355766 T^{12} - 335761090248 T^{13} + 2112726204484 T^{14} - 10132462409260 T^{15} + 23811286661761 T^{16} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 164 T^{2} + 11848 T^{4} - 531784 T^{6} + 18114050 T^{8} - 446890844 T^{10} - 12645926656 T^{12} + 2562333918356 T^{14} - 161926607596397 T^{16} + 5660195625648404 T^{18} - 61708088030676736 T^{20} - 4817132636034547676 T^{22} + \)\(43\!\cdots\!50\)\( T^{24} - \)\(27\!\cdots\!16\)\( T^{26} + \)\(13\!\cdots\!68\)\( T^{28} - \)\(42\!\cdots\!16\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 125 T^{2} + 6121 T^{4} - 237712 T^{6} + 8683520 T^{8} - 2987672 T^{10} - 24143549800 T^{12} + 2234488097219 T^{14} - 131390741463215 T^{16} + 4935984206756771 T^{18} - 117812821231613800 T^{20} - 32204759820424088 T^{22} + \)\(20\!\cdots\!20\)\( T^{24} - \)\(12\!\cdots\!88\)\( T^{26} + \)\(71\!\cdots\!61\)\( T^{28} - \)\(32\!\cdots\!25\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 173 T^{2} + 16633 T^{4} - 1089952 T^{6} + 47343872 T^{8} - 818110040 T^{10} - 64424097160 T^{12} + 7478687522819 T^{14} - 437436851957231 T^{16} + 16520420737907171 T^{18} - 314369042853805960 T^{20} - 8818584283976803160 T^{22} + \)\(11\!\cdots\!92\)\( T^{24} - \)\(57\!\cdots\!48\)\( T^{26} + \)\(19\!\cdots\!53\)\( T^{28} - \)\(44\!\cdots\!37\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 212 T^{2} + 22024 T^{4} - 1457032 T^{6} + 71730530 T^{8} - 3319728188 T^{10} + 189334539584 T^{12} - 11915633567836 T^{14} + 635975079098131 T^{16} - 26321634551349724 T^{18} + 923892155451792704 T^{20} - 35784064972202993852 T^{22} + \)\(17\!\cdots\!30\)\( T^{24} - \)\(76\!\cdots\!68\)\( T^{26} + \)\(25\!\cdots\!84\)\( T^{28} - \)\(54\!\cdots\!28\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 9 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( ( 1 + 8 T + 53 T^{2} )^{2} \))(\( 1 + 7 T + 44 T^{2} + 371 T^{3} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 - 7 T + 44 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( ( 1 - 8 T + 53 T^{2} )^{2} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{8} \))(\( ( 1 - 216 T^{2} + 24972 T^{4} - 2015208 T^{6} + 122805830 T^{8} - 5660719272 T^{10} + 197041091532 T^{12} - 4787502003864 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 193 T^{2} + 20557 T^{4} - 1818204 T^{6} + 128583722 T^{8} - 7326778022 T^{10} + 361191675098 T^{12} - 14346504116124 T^{14} + 455632771728853 T^{16} - 12016120249392673 T^{18} + 174887470365513049 T^{20} )^{2} \))(\( ( 1 + 124 T^{2} - 192 T^{3} + 7734 T^{4} - 10176 T^{5} + 348316 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 124 T^{2} + 192 T^{3} + 7734 T^{4} + 10176 T^{5} + 348316 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 184 T^{2} + 17436 T^{4} - 1193288 T^{6} + 68587430 T^{8} - 3351945992 T^{10} + 137578426716 T^{12} - 4078242447736 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 142 T^{2} + 13833 T^{4} - 1028534 T^{6} + 58011620 T^{8} - 2889152006 T^{10} + 109149023673 T^{12} - 3147339280318 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 4 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 162 T^{2} - 617 T^{3} + 8586 T^{4} - 16854 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} + 197 T^{3} + 2722 T^{4} + 10441 T^{5} + 233147 T^{6} - 595508 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} + 621 T^{3} + 4704 T^{4} + 32913 T^{5} + 165731 T^{6} + 893262 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 30 T + 580 T^{2} + 7683 T^{3} + 79903 T^{4} + 646182 T^{5} + 4234859 T^{6} + 21581547 T^{7} + 86348660 T^{8} + 236714430 T^{9} + 418195493 T^{10} )^{2} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} \))(\( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 8 T - 90 T^{2} - 278 T^{3} + 9514 T^{4} + 8150 T^{5} - 568945 T^{6} + 431950 T^{7} + 26724826 T^{8} - 41387806 T^{9} - 710143290 T^{10} + 3345563944 T^{11} + 22164361129 T^{12} \))(\( 1 - 8 T - 90 T^{2} + 278 T^{3} + 9514 T^{4} - 8150 T^{5} - 568945 T^{6} - 431950 T^{7} + 26724826 T^{8} + 41387806 T^{9} - 710143290 T^{10} - 3345563944 T^{11} + 22164361129 T^{12} \))(\( 1 + 10 T - 34 T^{2} - 720 T^{3} - 538 T^{4} + 28730 T^{5} + 169816 T^{6} - 937470 T^{7} - 17639549 T^{8} - 49685910 T^{9} + 477013144 T^{10} + 4277236210 T^{11} - 4245078778 T^{12} - 301100754960 T^{13} - 753588278386 T^{14} + 11747111398370 T^{15} + 62259690411361 T^{16} \))(\( 1 - 7 T - 158 T^{2} + 729 T^{3} + 18893 T^{4} - 54478 T^{5} - 1436103 T^{6} + 995821 T^{7} + 90249700 T^{8} + 52778513 T^{9} - 4034013327 T^{10} - 8110521206 T^{11} + 149074857533 T^{12} + 304864514397 T^{13} - 3501969058382 T^{14} - 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 + 7 T - 158 T^{2} - 729 T^{3} + 18893 T^{4} + 54478 T^{5} - 1436103 T^{6} - 995821 T^{7} + 90249700 T^{8} - 52778513 T^{9} - 4034013327 T^{10} + 8110521206 T^{11} + 149074857533 T^{12} - 304864514397 T^{13} - 3501969058382 T^{14} + 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 - 10 T - 34 T^{2} + 720 T^{3} - 538 T^{4} - 28730 T^{5} + 169816 T^{6} + 937470 T^{7} - 17639549 T^{8} + 49685910 T^{9} + 477013144 T^{10} - 4277236210 T^{11} - 4245078778 T^{12} + 301100754960 T^{13} - 753588278386 T^{14} - 11747111398370 T^{15} + 62259690411361 T^{16} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 + 136 T^{2} + 9700 T^{4} + 6128 T^{6} - 41933782 T^{8} - 3532199048 T^{10} - 71962032112 T^{12} + 5883147483704 T^{14} + 625107841095283 T^{16} + 16525761281724536 T^{18} - 567815047101125872 T^{20} - 78288935279382005192 T^{22} - \)\(26\!\cdots\!02\)\( T^{24} + \)\(10\!\cdots\!72\)\( T^{26} + \)\(47\!\cdots\!00\)\( T^{28} + \)\(18\!\cdots\!84\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 106 T^{2} + 1615 T^{4} - 125848 T^{6} - 2732311 T^{8} - 209584850 T^{10} - 23241931957 T^{12} - 759974533696 T^{14} - 20858808219215 T^{16} - 2134768465152064 T^{18} - 183390022510001317 T^{20} - 4645314302567295650 T^{22} - \)\(17\!\cdots\!71\)\( T^{24} - \)\(22\!\cdots\!52\)\( T^{26} + \)\(79\!\cdots\!15\)\( T^{28} + \)\(14\!\cdots\!14\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 133 T^{2} + 8944 T^{4} + 599099 T^{6} + 29717867 T^{8} + 797091448 T^{10} + 31263307613 T^{12} + 880034743289 T^{14} - 19324329468344 T^{16} + 2472017593898801 T^{18} + 246682534717531853 T^{20} + 17667022706309524792 T^{22} + \)\(18\!\cdots\!87\)\( T^{24} + \)\(10\!\cdots\!51\)\( T^{26} + \)\(43\!\cdots\!04\)\( T^{28} + \)\(18\!\cdots\!77\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 304 T^{2} + 48352 T^{4} + 5330432 T^{6} + 461119874 T^{8} + 34199329984 T^{10} + 2292888431744 T^{12} + 140988863024816 T^{14} + 7874149661572771 T^{16} + 396037716236708144 T^{18} + 18091992605795828864 T^{20} + \)\(75\!\cdots\!36\)\( T^{22} + \)\(28\!\cdots\!14\)\( T^{24} + \)\(93\!\cdots\!68\)\( T^{26} + \)\(23\!\cdots\!32\)\( T^{28} + \)\(41\!\cdots\!76\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 - 3 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 12 T + 142 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 121 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 94 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 94 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 121 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 142 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 117 T^{2} + 3481 T^{4} \))(\( 1 - 117 T^{2} + 3481 T^{4} \))(\( ( 1 - 24 T^{2} + 3266 T^{4} - 83544 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 380 T^{2} + 67344 T^{4} - 7257700 T^{6} + 519439886 T^{8} - 25264053700 T^{10} + 816031559184 T^{12} - 16028602783580 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 449 T^{2} + 96439 T^{4} - 13053078 T^{6} + 1232082461 T^{8} - 84671750375 T^{10} + 4288879046741 T^{12} - 158168858287158 T^{14} + 4067848483804399 T^{16} - 65926866484340129 T^{18} + 511116753300641401 T^{20} )^{2} \))(\( 1 - 232 T^{2} + 28836 T^{4} - 2582456 T^{6} + 175948646 T^{8} - 8989529336 T^{10} + 349416221796 T^{12} - 9785883804712 T^{14} + 146830437604321 T^{16} \))(\( 1 - 232 T^{2} + 28836 T^{4} - 2582456 T^{6} + 175948646 T^{8} - 8989529336 T^{10} + 349416221796 T^{12} - 9785883804712 T^{14} + 146830437604321 T^{16} \))(\( ( 1 + 148 T^{2} + 10276 T^{4} + 457612 T^{6} + 23078422 T^{8} + 1592947372 T^{10} + 124518001636 T^{12} + 6242718978868 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 283 T^{2} + 41785 T^{4} + 4061626 T^{6} + 280646974 T^{8} + 14138520106 T^{10} + 506323929385 T^{12} + 11937091020403 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 24 T^{2} - 369 T^{3} - 453 T^{4} + 5694 T^{5} + 333403 T^{6} + 335946 T^{7} - 1576893 T^{8} - 75784851 T^{9} - 290816664 T^{10} - 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 + 9 T - 119 T^{2} - 1116 T^{3} + 10336 T^{4} + 79866 T^{5} - 564434 T^{6} - 2176353 T^{7} + 30131725 T^{8} - 128404827 T^{9} - 1964794754 T^{10} + 16402799214 T^{11} + 125245043296 T^{12} - 797855517684 T^{13} - 5019483503279 T^{14} + 22397863363371 T^{15} + 146830437604321 T^{16} \))(\( 1 + 10 T - 71 T^{2} - 1536 T^{3} - 346 T^{4} + 106150 T^{5} + 583014 T^{6} - 3064183 T^{7} - 49833644 T^{8} - 180786797 T^{9} + 2029471734 T^{10} + 21800980850 T^{11} - 4192606906 T^{12} - 1098123723264 T^{13} - 2994817888511 T^{14} + 24886514848190 T^{15} + 146830437604321 T^{16} \))(\( 1 + 7 T - 84 T^{2} - 891 T^{3} - 548 T^{4} + 21051 T^{5} + 190525 T^{6} + 1336983 T^{7} + 4615039 T^{8} - 49687002 T^{9} - 884146943 T^{10} - 2931533118 T^{11} + 16064950759 T^{12} + 274588231557 T^{13} + 2308660204525 T^{14} + 15049871418249 T^{15} - 23114932435268 T^{16} - 2217388472973729 T^{17} - 12333756758762964 T^{18} + 60640970730584573 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 5 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 5 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 9 T - 54 T^{2} - 171 T^{3} + 4023 T^{4} - 18486 T^{5} - 466229 T^{6} - 1090674 T^{7} + 14004063 T^{8} - 35119809 T^{9} - 654337494 T^{10} + 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T - 54 T^{2} + 171 T^{3} + 4023 T^{4} + 18486 T^{5} - 466229 T^{6} + 1090674 T^{7} + 14004063 T^{8} + 35119809 T^{9} - 654337494 T^{10} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 22 T + 106 T^{2} - 48 T^{3} + 14486 T^{4} - 158758 T^{5} + 199560 T^{6} - 3891698 T^{7} + 83505403 T^{8} - 229610182 T^{9} + 694668360 T^{10} - 32605559282 T^{11} + 175532091446 T^{12} - 34316366352 T^{13} + 4471136565946 T^{14} - 54750332666018 T^{15} + 146830437604321 T^{16} \))(\( 1 + 4 T - 21 T^{2} - 738 T^{3} - 6108 T^{4} - 3112 T^{5} + 138210 T^{6} + 1929881 T^{7} + 10657612 T^{8} + 113862979 T^{9} + 481109010 T^{10} - 639139448 T^{11} - 74012840988 T^{12} - 527614132662 T^{13} - 885791206461 T^{14} + 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 - 4 T - 21 T^{2} + 738 T^{3} - 6108 T^{4} + 3112 T^{5} + 138210 T^{6} - 1929881 T^{7} + 10657612 T^{8} - 113862979 T^{9} + 481109010 T^{10} + 639139448 T^{11} - 74012840988 T^{12} + 527614132662 T^{13} - 885791206461 T^{14} - 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 + 22 T + 106 T^{2} + 48 T^{3} + 14486 T^{4} + 158758 T^{5} + 199560 T^{6} + 3891698 T^{7} + 83505403 T^{8} + 229610182 T^{9} + 694668360 T^{10} + 32605559282 T^{11} + 175532091446 T^{12} + 34316366352 T^{13} + 4471136565946 T^{14} + 54750332666018 T^{15} + 146830437604321 T^{16} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 328 T^{2} + 54000 T^{4} - 6551312 T^{6} + 674381378 T^{8} - 59438391192 T^{10} + 4550306378176 T^{12} - 314097266893720 T^{14} + 19606433379307875 T^{16} - 1093372586057039320 T^{18} + 55137705044961113536 T^{20} - \)\(25\!\cdots\!72\)\( T^{22} + \)\(99\!\cdots\!38\)\( T^{24} - \)\(33\!\cdots\!12\)\( T^{26} + \)\(96\!\cdots\!00\)\( T^{28} - \)\(20\!\cdots\!08\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 166 T^{2} + 9693 T^{4} - 138704 T^{6} - 8826568 T^{8} + 813721572 T^{10} - 53184751892 T^{12} + 953209874183 T^{14} + 65187402782238 T^{16} + 3318123572031023 T^{18} - 644458838370797012 T^{20} + 34323210142153403652 T^{22} - \)\(12\!\cdots\!28\)\( T^{24} - \)\(70\!\cdots\!04\)\( T^{26} + \)\(17\!\cdots\!33\)\( T^{28} - \)\(10\!\cdots\!26\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 190 T^{2} + 11541 T^{4} - 443000 T^{6} + 56915720 T^{8} - 4100356020 T^{10} + 95822008324 T^{12} - 9747744998665 T^{14} + 1100644208561934 T^{16} - 33931900340352865 T^{18} + 1161109866606912964 T^{20} - \)\(17\!\cdots\!20\)\( T^{22} + \)\(83\!\cdots\!20\)\( T^{24} - \)\(22\!\cdots\!00\)\( T^{26} + \)\(20\!\cdots\!21\)\( T^{28} - \)\(11\!\cdots\!90\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 44 T^{2} - 2292 T^{4} + 465352 T^{6} + 27444554 T^{8} - 775368300 T^{10} + 157834889296 T^{12} + 8699229607316 T^{14} - 256293216247293 T^{16} + 30282018263066996 T^{18} + 1912542331994667856 T^{20} - 32705448662314980300 T^{22} + \)\(40\!\cdots\!34\)\( T^{24} + \)\(23\!\cdots\!52\)\( T^{26} - \)\(40\!\cdots\!52\)\( T^{28} + \)\(27\!\cdots\!84\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 6 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 8 T + 90 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 14 T + 138 T^{2} - 854 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 26 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 26 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 14 T + 138 T^{2} - 854 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 90 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 86 T^{2} + 3721 T^{4} \))(\( 1 - 86 T^{2} + 3721 T^{4} \))(\( ( 1 - 52 T^{2} - 522 T^{4} - 193492 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 304 T^{2} + 46620 T^{4} - 4694096 T^{6} + 336476774 T^{8} - 17466731216 T^{10} + 645493107420 T^{12} - 15662193805744 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 186 T^{2} + 23517 T^{4} - 2152152 T^{6} + 175128378 T^{8} - 11500636220 T^{10} + 651652694538 T^{12} - 29798354399832 T^{14} + 1211604643847637 T^{16} - 35657560217494266 T^{18} + 713342911662882601 T^{20} )^{2} \))(\( ( 1 - 92 T^{2} + 6486 T^{4} - 342332 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 92 T^{2} + 6486 T^{4} - 342332 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 317 T^{2} + 50098 T^{4} - 5135915 T^{6} + 370298362 T^{8} - 19110739715 T^{10} + 693648942418 T^{12} - 16331958672437 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 236 T^{2} + 32440 T^{4} - 3088964 T^{6} + 216205582 T^{8} - 11494035044 T^{10} + 449159082040 T^{12} - 12158808349196 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 - 12 T - 48 T^{2} + 478 T^{3} + 8460 T^{4} - 30636 T^{5} - 395685 T^{6} - 1868796 T^{7} + 31479660 T^{8} + 108496918 T^{9} - 664600368 T^{10} - 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 + 7 T - 144 T^{2} - 1315 T^{3} + 11783 T^{4} + 112692 T^{5} - 470051 T^{6} - 3262925 T^{7} + 21742764 T^{8} - 199038425 T^{9} - 1749059771 T^{10} + 25578942852 T^{11} + 163145544503 T^{12} - 1110644135815 T^{13} - 7418933907984 T^{14} + 21999199852147 T^{15} + 191707312997281 T^{16} \))(\( 1 - 20 T + 161 T^{2} - 562 T^{3} - 931 T^{4} + 2180 T^{5} - 139869 T^{6} + 5694174 T^{7} - 64208639 T^{8} + 347344614 T^{9} - 520452549 T^{10} + 494818580 T^{11} - 12890477971 T^{12} - 474663121162 T^{13} + 8294780272121 T^{14} - 62854856720420 T^{15} + 191707312997281 T^{16} \))(\( 1 + 14 T - 67 T^{2} - 1032 T^{3} + 10040 T^{4} + 70122 T^{5} - 675608 T^{6} - 3001836 T^{7} + 20748698 T^{8} - 6195900 T^{9} - 1395441908 T^{10} - 377949900 T^{11} + 77205905258 T^{12} - 681359737116 T^{13} - 9354360946328 T^{14} + 59224781818722 T^{15} + 517264558584440 T^{16} - 3243310606773672 T^{17} - 12844389970817827 T^{18} + 163718045299677974 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 9 T + 20 T^{2} - 549 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( 1 + 11 T + 60 T^{2} + 671 T^{3} + 3721 T^{4} \))(\( 1 - 3 T - 52 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( 1 + 11 T + 60 T^{2} + 671 T^{3} + 3721 T^{4} \))(\( 1 - 3 T - 52 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 9 T + 20 T^{2} - 549 T^{3} + 3721 T^{4} \))(\( 1 - 13 T - 45 T^{2} + 252 T^{3} + 13021 T^{4} - 33607 T^{5} - 667154 T^{6} - 2050027 T^{7} + 48451141 T^{8} + 57199212 T^{9} - 623062845 T^{10} - 10979751913 T^{11} + 51520374361 T^{12} \))(\( 1 - 13 T - 45 T^{2} + 252 T^{3} + 13021 T^{4} - 33607 T^{5} - 667154 T^{6} - 2050027 T^{7} + 48451141 T^{8} + 57199212 T^{9} - 623062845 T^{10} - 10979751913 T^{11} + 51520374361 T^{12} \))(\( 1 - 2 T - 90 T^{2} + 116 T^{3} + 4577 T^{4} - 7740 T^{5} + 332338 T^{6} - 11534 T^{7} - 30676068 T^{8} - 703574 T^{9} + 1236629698 T^{10} - 1756832940 T^{11} + 63372414257 T^{12} + 97973170916 T^{13} - 4636833692490 T^{14} - 6285485672042 T^{15} + 191707312997281 T^{16} \))(\( 1 + 25 T + 196 T^{2} + 1097 T^{3} + 19941 T^{4} + 171360 T^{5} + 257114 T^{6} + 4239618 T^{7} + 85475992 T^{8} + 258616698 T^{9} + 956721194 T^{10} + 38895464160 T^{11} + 276099915381 T^{12} + 926522142197 T^{13} + 10097993374756 T^{14} + 78568570900525 T^{15} + 191707312997281 T^{16} \))(\( 1 + 25 T + 196 T^{2} + 1097 T^{3} + 19941 T^{4} + 171360 T^{5} + 257114 T^{6} + 4239618 T^{7} + 85475992 T^{8} + 258616698 T^{9} + 956721194 T^{10} + 38895464160 T^{11} + 276099915381 T^{12} + 926522142197 T^{13} + 10097993374756 T^{14} + 78568570900525 T^{15} + 191707312997281 T^{16} \))(\( 1 - 2 T - 90 T^{2} + 116 T^{3} + 4577 T^{4} - 7740 T^{5} + 332338 T^{6} - 11534 T^{7} - 30676068 T^{8} - 703574 T^{9} + 1236629698 T^{10} - 1756832940 T^{11} + 63372414257 T^{12} + 97973170916 T^{13} - 4636833692490 T^{14} - 6285485672042 T^{15} + 191707312997281 T^{16} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( ( 1 - 30 T + 526 T^{2} - 6780 T^{3} + 71293 T^{4} - 689040 T^{5} + 6452458 T^{6} - 57925758 T^{7} + 478605124 T^{8} - 3533471238 T^{9} + 24009596218 T^{10} - 156398988240 T^{11} + 987111542413 T^{12} - 5726362920780 T^{13} + 27099716913886 T^{14} - 94282285080630 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 3 T + 148 T^{2} + 435 T^{3} + 10381 T^{4} + 51408 T^{5} + 640546 T^{6} + 4589094 T^{7} + 40871512 T^{8} + 279934734 T^{9} + 2383471666 T^{10} + 11668639248 T^{11} + 143733675421 T^{12} + 367399390935 T^{13} + 7625015405428 T^{14} + 9428228508063 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 3 T + 118 T^{2} - 345 T^{3} + 7303 T^{4} - 40824 T^{5} + 56536 T^{6} - 3083880 T^{7} - 8201036 T^{8} - 188116680 T^{9} + 210370456 T^{10} - 9266272344 T^{11} + 101116176823 T^{12} - 291385723845 T^{13} + 6079404174598 T^{14} - 9428228508063 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 30 T + 568 T^{2} + 8040 T^{3} + 93811 T^{4} + 983664 T^{5} + 9476836 T^{6} + 84606546 T^{7} + 693799792 T^{8} + 5160999306 T^{9} + 35263306756 T^{10} + 223273038384 T^{11} + 1298892190051 T^{12} + 6790554260040 T^{13} + 29263572637048 T^{14} + 94282285080630 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 + 13 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 24 T + 266 T^{2} + 1608 T^{3} + 4489 T^{4} \))(\( 1 - 15 T + 182 T^{2} - 1005 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 122 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 122 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 15 T + 182 T^{2} - 1005 T^{3} + 4489 T^{4} \))(\( 1 + 24 T + 266 T^{2} + 1608 T^{3} + 4489 T^{4} \))(\( 1 - 53 T^{2} + 4489 T^{4} \))(\( 1 - 53 T^{2} + 4489 T^{4} \))(\( ( 1 + 20 T^{2} + 4218 T^{4} + 89780 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 232 T^{2} + 32520 T^{4} - 3258632 T^{6} + 244468094 T^{8} - 14627999048 T^{10} + 655314454920 T^{12} - 20986344663208 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 495 T^{2} + 120093 T^{4} - 18487716 T^{6} + 1986970986 T^{8} - 155229602234 T^{10} + 8919512756154 T^{12} - 372548202129636 T^{14} + 10863418489821717 T^{16} - 201003500390537295 T^{18} + 1822837804551761449 T^{20} )^{2} \))(\( ( 1 - 4 T + 228 T^{2} - 620 T^{3} + 21530 T^{4} - 41540 T^{5} + 1023492 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 4 T + 228 T^{2} - 620 T^{3} + 21530 T^{4} - 41540 T^{5} + 1023492 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 7 T + 114 T^{2} + 35 T^{3} + 3554 T^{4} + 2345 T^{5} + 511746 T^{6} + 2105341 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 11 T + 198 T^{2} - 2071 T^{3} + 17498 T^{4} - 138757 T^{5} + 888822 T^{6} - 3308393 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 14 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( 1 - 12 T - 12 T^{2} + 690 T^{3} - 1488 T^{4} - 2856 T^{5} - 34441 T^{6} - 191352 T^{7} - 6679632 T^{8} + 207526470 T^{9} - 241813452 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 12 T - 139 T^{2} - 1338 T^{3} + 22729 T^{4} + 133506 T^{5} - 1954153 T^{6} - 2368722 T^{7} + 170018875 T^{8} - 158704374 T^{9} - 8772192817 T^{10} + 40153665078 T^{11} + 458014829209 T^{12} - 1806467393166 T^{13} - 12573715121491 T^{14} + 72728539263876 T^{15} + 406067677556641 T^{16} \))(\( 1 - 11 T - 82 T^{2} + 689 T^{3} + 8039 T^{4} - 18292 T^{5} - 590799 T^{6} + 1428153 T^{7} + 17009218 T^{8} + 95686251 T^{9} - 2652096711 T^{10} - 5501556796 T^{11} + 161994861719 T^{12} + 930236198723 T^{13} - 7417587337858 T^{14} - 66667827658553 T^{15} + 406067677556641 T^{16} \))(\( 1 + 8 T - 142 T^{2} - 1462 T^{3} + 7779 T^{4} + 110116 T^{5} - 343663 T^{6} - 6410154 T^{7} + 10809007 T^{8} + 209041554 T^{9} + 61061861 T^{10} + 14005784118 T^{11} + 48521632423 T^{12} - 1927937147502 T^{13} - 6925194696223 T^{14} + 148670376282412 T^{15} + 703675754892651 T^{16} - 8860760366982226 T^{17} - 57661610213043022 T^{18} + 217652275170359576 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 6 T - 31 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 6 T - 31 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 - 16 T + 34 T^{2} + 562 T^{3} + 1498 T^{4} - 52510 T^{5} + 381563 T^{6} - 3518170 T^{7} + 6724522 T^{8} + 169028806 T^{9} + 685138114 T^{10} - 21602001712 T^{11} + 90458382169 T^{12} \))(\( 1 - 16 T + 34 T^{2} + 562 T^{3} + 1498 T^{4} - 52510 T^{5} + 381563 T^{6} - 3518170 T^{7} + 6724522 T^{8} + 169028806 T^{9} + 685138114 T^{10} - 21602001712 T^{11} + 90458382169 T^{12} \))(\( 1 - 2 T - 145 T^{2} - 310 T^{3} + 10229 T^{4} + 49232 T^{5} - 447054 T^{6} - 1987140 T^{7} + 26208538 T^{8} - 133138380 T^{9} - 2006825406 T^{10} + 14807164016 T^{11} + 206125816709 T^{12} - 418538783170 T^{13} - 13116465414505 T^{14} - 12121423210646 T^{15} + 406067677556641 T^{16} \))(\( 1 + 30 T + 335 T^{2} + 2816 T^{3} + 39697 T^{4} + 415264 T^{5} + 2662719 T^{6} + 27218576 T^{7} + 300754815 T^{8} + 1823644592 T^{9} + 11952945591 T^{10} + 124896046432 T^{11} + 799939050337 T^{12} + 3801952301312 T^{13} + 30303558026615 T^{14} + 181821348159690 T^{15} + 406067677556641 T^{16} \))(\( 1 + 30 T + 335 T^{2} + 2816 T^{3} + 39697 T^{4} + 415264 T^{5} + 2662719 T^{6} + 27218576 T^{7} + 300754815 T^{8} + 1823644592 T^{9} + 11952945591 T^{10} + 124896046432 T^{11} + 799939050337 T^{12} + 3801952301312 T^{13} + 30303558026615 T^{14} + 181821348159690 T^{15} + 406067677556641 T^{16} \))(\( 1 - 2 T - 145 T^{2} - 310 T^{3} + 10229 T^{4} + 49232 T^{5} - 447054 T^{6} - 1987140 T^{7} + 26208538 T^{8} - 133138380 T^{9} - 2006825406 T^{10} + 14807164016 T^{11} + 206125816709 T^{12} - 418538783170 T^{13} - 13116465414505 T^{14} - 12121423210646 T^{15} + 406067677556641 T^{16} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( ( 1 - T - 218 T^{2} - 35 T^{3} + 27473 T^{4} + 14480 T^{5} - 2498242 T^{6} - 460454 T^{7} + 180583204 T^{8} - 30850418 T^{9} - 11214608338 T^{10} + 4355048240 T^{11} + 553611747233 T^{12} - 47254378745 T^{13} - 19719927312842 T^{14} - 6060711605323 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 10 T - 47 T^{2} + 40 T^{3} + 3785 T^{4} + 43910 T^{5} - 126337 T^{6} - 2491340 T^{7} + 10362079 T^{8} - 166919780 T^{9} - 567126793 T^{10} + 13206503330 T^{11} + 76271992985 T^{12} + 54005004280 T^{13} - 4251543961943 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 2 T - 179 T^{2} - 908 T^{3} + 16841 T^{4} + 97754 T^{5} - 850057 T^{6} - 3582776 T^{7} + 41096215 T^{8} - 240045992 T^{9} - 3815905873 T^{10} + 29400786302 T^{11} + 339365028761 T^{12} - 1225913597156 T^{13} - 16192050408251 T^{14} + 12121423210646 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 2 T - 65 T^{2} + 838 T^{3} + 2213 T^{4} - 60592 T^{5} + 564770 T^{6} + 3320308 T^{7} - 36775142 T^{8} + 222460636 T^{9} + 2535252530 T^{10} - 18223831696 T^{11} + 44594430773 T^{12} + 1131404839666 T^{13} - 5879794840985 T^{14} + 12121423210646 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 13 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 13 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 13 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 + 13 T + 71 T^{2} \))(\( 1 + 12 T + 103 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 9 T + 154 T^{2} - 639 T^{3} + 5041 T^{4} \))(\( 1 - 33 T^{2} + 5041 T^{4} \))(\( 1 - 33 T^{2} + 5041 T^{4} \))(\( 1 + 9 T + 154 T^{2} + 639 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 103 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( ( 1 + 15 T + 71 T^{2} )^{2} \))(\( ( 1 - 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 236 T^{2} + 23871 T^{4} + 1189676 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 396 T^{2} + 77350 T^{4} + 9537264 T^{6} + 808347579 T^{8} + 48077347824 T^{10} + 1965593525350 T^{12} + 50727712432716 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 343 T^{2} + 52613 T^{4} + 4802116 T^{6} + 309151594 T^{8} + 19321038474 T^{10} + 1558433185354 T^{12} + 122029839916996 T^{14} + 6739740237935573 T^{16} + 221493461217296023 T^{18} + 3255243551009881201 T^{20} )^{2} \))(\( ( 1 - 16 T + 310 T^{2} - 3320 T^{3} + 33807 T^{4} - 235720 T^{5} + 1562710 T^{6} - 5726576 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 16 T + 310 T^{2} + 3320 T^{3} + 33807 T^{4} + 235720 T^{5} + 1562710 T^{6} + 5726576 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 341 T^{2} + 63193 T^{4} - 7537622 T^{6} + 634982182 T^{8} - 37997152502 T^{10} + 1605840357433 T^{12} - 43682196817061 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 167 T^{2} + 18034 T^{4} - 1223801 T^{6} + 87222970 T^{8} - 6169180841 T^{10} + 458274255154 T^{12} - 21392747414807 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 21 T + 249 T^{2} + 2115 T^{3} + 17679 T^{4} + 105861 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 12 T + 167 T^{2} - 591 T^{3} + 7587 T^{4} - 41961 T^{5} + 841847 T^{6} - 4294932 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 3 T + 276 T^{2} - 630 T^{3} + 29126 T^{4} - 44730 T^{5} + 1391316 T^{6} - 1073733 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 9 T + 306 T^{2} - 2174 T^{3} + 40411 T^{4} - 221049 T^{5} + 2869181 T^{6} - 10959134 T^{7} + 109520766 T^{8} - 228705129 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 14 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 14 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - T + 129 T^{2} - 235 T^{3} + 9159 T^{4} - 5041 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + T + 129 T^{2} + 235 T^{3} + 9159 T^{4} + 5041 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 22 T + 402 T^{2} - 4638 T^{3} + 45946 T^{4} - 329298 T^{5} + 2026482 T^{6} - 7874042 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 11 T + 194 T^{2} + 1324 T^{3} + 16844 T^{4} + 94004 T^{5} + 977954 T^{6} + 3937021 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 11 T + 194 T^{2} - 1324 T^{3} + 16844 T^{4} - 94004 T^{5} + 977954 T^{6} - 3937021 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 22 T + 402 T^{2} + 4638 T^{3} + 45946 T^{4} + 329298 T^{5} + 2026482 T^{6} + 7874042 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 44 T^{2} + 15496 T^{4} - 542276 T^{6} + 106966222 T^{8} - 2733613316 T^{10} + 393779408776 T^{12} - 5636412492524 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 539 T^{2} + 129076 T^{4} - 17929268 T^{6} + 1579617304 T^{8} - 90381439988 T^{10} + 3280038136756 T^{12} - 69046053033419 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 71 T^{2} + 9904 T^{4} - 812624 T^{6} + 56885380 T^{8} - 4096437584 T^{10} + 251677288624 T^{12} - 9095120158391 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 428 T^{2} + 86452 T^{4} - 10845908 T^{6} + 924059350 T^{8} - 54674222228 T^{10} + 2196890645812 T^{12} - 54826921518188 T^{14} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 - 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 4 T + 42 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( 1 - 12 T + 154 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 154 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( 1 + 4 T + 42 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( ( 1 + 6 T + 140 T^{2} + 438 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 - 6 T + 238 T^{2} - 990 T^{3} + 23766 T^{4} - 72270 T^{5} + 1268302 T^{6} - 2334102 T^{7} + 28398241 T^{8} )^{4} \))(\( ( 1 + 149 T^{2} + 432 T^{3} + 14410 T^{4} + 51408 T^{5} + 1051930 T^{6} + 2302128 T^{7} + 57963533 T^{8} + 2073071593 T^{10} )^{4} \))(\( ( 1 - 4 T + 156 T^{2} - 1460 T^{3} + 11402 T^{4} - 106580 T^{5} + 831324 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 4 T + 156 T^{2} - 1460 T^{3} + 11402 T^{4} - 106580 T^{5} + 831324 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 321 T^{2} + 57726 T^{4} - 6821535 T^{6} + 583944098 T^{8} - 36351960015 T^{10} + 1639316859966 T^{12} - 48578286638769 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 117 T^{2} + 15114 T^{4} - 1400907 T^{6} + 111599882 T^{8} - 7465433403 T^{10} + 429211014474 T^{12} - 17706104475813 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 5 T - 48 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( 1 - 13 T + 96 T^{2} - 949 T^{3} + 5329 T^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 13 T + 73 T^{2} )^{2} \))(\( ( 1 - 3 T + 105 T^{2} - 475 T^{3} + 7665 T^{4} - 15987 T^{5} + 389017 T^{6} )^{2} \))(\( ( 1 - 13 T + 232 T^{2} - 1504 T^{3} + 18820 T^{4} - 109792 T^{5} + 1236328 T^{6} - 5057221 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 24 T + 425 T^{2} + 4923 T^{3} + 48495 T^{4} + 359379 T^{5} + 2264825 T^{6} + 9336408 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 15 T + 247 T^{2} - 2719 T^{3} + 26596 T^{4} - 243028 T^{5} + 1941508 T^{6} - 14489551 T^{7} + 96087199 T^{8} - 425973615 T^{9} + 2073071593 T^{10} )^{2} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 5 T - 48 T^{2} + 365 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 5 T - 48 T^{2} + 365 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 3 T - 132 T^{2} - 347 T^{3} + 8433 T^{4} + 8514 T^{5} - 573015 T^{6} + 621522 T^{7} + 44939457 T^{8} - 134988899 T^{9} - 3748567812 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 + 3 T - 132 T^{2} - 347 T^{3} + 8433 T^{4} + 8514 T^{5} - 573015 T^{6} + 621522 T^{7} + 44939457 T^{8} - 134988899 T^{9} - 3748567812 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 + 10 T - 141 T^{2} - 1714 T^{3} + 12677 T^{4} + 151788 T^{5} - 657782 T^{6} - 4715864 T^{7} + 43753554 T^{8} - 344258072 T^{9} - 3505320278 T^{10} + 59048112396 T^{11} + 360004501157 T^{12} - 3553244710402 T^{13} - 21338125906749 T^{14} + 110473985190970 T^{15} + 806460091894081 T^{16} \))(\( 1 - 4 T - 177 T^{2} + 378 T^{3} + 16890 T^{4} - 8478 T^{5} - 1265668 T^{6} + 148369 T^{7} + 87542238 T^{8} + 10830937 T^{9} - 6744744772 T^{10} - 3298086126 T^{11} + 479646290490 T^{12} + 783621062154 T^{13} - 26786158053153 T^{14} - 44189594076388 T^{15} + 806460091894081 T^{16} \))(\( 1 - 4 T - 177 T^{2} + 378 T^{3} + 16890 T^{4} - 8478 T^{5} - 1265668 T^{6} + 148369 T^{7} + 87542238 T^{8} + 10830937 T^{9} - 6744744772 T^{10} - 3298086126 T^{11} + 479646290490 T^{12} + 783621062154 T^{13} - 26786158053153 T^{14} - 44189594076388 T^{15} + 806460091894081 T^{16} \))(\( 1 + 10 T - 141 T^{2} - 1714 T^{3} + 12677 T^{4} + 151788 T^{5} - 657782 T^{6} - 4715864 T^{7} + 43753554 T^{8} - 344258072 T^{9} - 3505320278 T^{10} + 59048112396 T^{11} + 360004501157 T^{12} - 3553244710402 T^{13} - 21338125906749 T^{14} + 110473985190970 T^{15} + 806460091894081 T^{16} \))(\( 1 - 13 T + 96 T^{2} - 949 T^{3} + 5329 T^{4} \))(\( 1 - 5 T - 48 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( ( 1 - 15 T + 219 T^{2} - 2160 T^{3} + 16119 T^{4} - 15975 T^{5} - 773154 T^{6} + 16053945 T^{7} - 163050496 T^{8} + 1171937985 T^{9} - 4120137666 T^{10} - 6214546575 T^{11} + 457751246679 T^{12} - 4477834640880 T^{13} + 33142195557291 T^{14} - 165710977786455 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 273 T^{2} + 45342 T^{4} + 12600 T^{5} + 5059740 T^{6} + 1838781 T^{7} + 426414266 T^{8} + 134231013 T^{9} + 26963354460 T^{10} + 4901614200 T^{11} + 1287633043422 T^{12} + 41314243776897 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 6 T + 159 T^{2} + 882 T^{3} + 12318 T^{4} + 98346 T^{5} + 584490 T^{6} + 8845941 T^{7} + 32868122 T^{8} + 645753693 T^{9} + 3114747210 T^{10} + 38258265882 T^{11} + 349809532638 T^{12} + 1828449145026 T^{13} + 24062141979951 T^{14} + 66284391114582 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 6 T + 255 T^{2} - 1458 T^{3} + 37305 T^{4} - 256020 T^{5} + 3961950 T^{6} - 27178752 T^{7} + 315641642 T^{8} - 1984048896 T^{9} + 21113231550 T^{10} - 99596132340 T^{11} + 1059396380505 T^{12} - 3022538382594 T^{13} + 38590227703695 T^{14} - 66284391114582 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 10 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 4 T + 54 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 + T + 84 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 166 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 166 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + T + 84 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 4 T + 54 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( ( 1 - 2 T + 24 T^{2} - 158 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 6 T + 82 T^{2} - 18 T^{3} + 6630 T^{4} - 1422 T^{5} + 511762 T^{6} - 2958234 T^{7} + 38950081 T^{8} )^{4} \))(\( ( 1 - 16 T + 335 T^{2} - 3202 T^{3} + 40117 T^{4} - 296322 T^{5} + 3169243 T^{6} - 19983682 T^{7} + 165168065 T^{8} - 623201296 T^{9} + 3077056399 T^{10} )^{4} \))(\( 1 - 248 T^{2} + 37188 T^{4} - 3949096 T^{6} + 344639558 T^{8} - 24646308136 T^{10} + 1448475612228 T^{12} - 60285688969208 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 248 T^{2} + 37188 T^{4} - 3949096 T^{6} + 344639558 T^{8} - 24646308136 T^{10} + 1448475612228 T^{12} - 60285688969208 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 + 11 T + 246 T^{2} + 2515 T^{3} + 26570 T^{4} + 198685 T^{5} + 1535286 T^{6} + 5423429 T^{7} + 38950081 T^{8} )^{4} \))(\( ( 1 - 10 T + 261 T^{2} - 1850 T^{3} + 28244 T^{4} - 146150 T^{5} + 1628901 T^{6} - 4930390 T^{7} + 38950081 T^{8} )^{4} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 30 T^{2} - 59 T^{3} + 1125 T^{4} + 89100 T^{5} - 1368633 T^{6} + 7038900 T^{7} + 7021125 T^{8} - 29089301 T^{9} + 1168502430 T^{10} - 46155845985 T^{11} + 243087455521 T^{12} \))(\( 1 + 22 T + 237 T^{2} + 1616 T^{3} + 2882 T^{4} - 87342 T^{5} - 574370 T^{6} + 1050079 T^{7} + 29800944 T^{8} + 82956241 T^{9} - 3584643170 T^{10} - 43063012338 T^{11} + 112254133442 T^{12} + 4972523140784 T^{13} + 57611726958477 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 21 T + 133 T^{2} + 252 T^{3} - 9896 T^{4} + 136080 T^{5} - 973784 T^{6} - 2121567 T^{7} + 81625693 T^{8} - 167603793 T^{9} - 6077385944 T^{10} + 67092747120 T^{11} - 385450001576 T^{12} + 775418212548 T^{13} + 32330631584293 T^{14} - 403282088709339 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 3 T - 271 T^{2} - 1532 T^{3} + 38715 T^{4} + 263753 T^{5} - 3446203 T^{6} - 24313053 T^{7} + 236347015 T^{8} + 845708523 T^{9} - 15972358530 T^{10} + 66810973317 T^{11} + 1475041720615 T^{12} - 11987283338067 T^{13} - 134229885992443 T^{14} + 811582856405447 T^{15} + 9411130840495515 T^{16} - 29420388566795588 T^{17} - 411136487484678031 T^{18} + 359554787947854957 T^{19} + 9468276082626847201 T^{20} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 - 4 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 - 4 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + T - 78 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 - 12 T - 84 T^{2} + 454 T^{3} + 14832 T^{4} - 6264 T^{5} - 1475337 T^{6} - 494856 T^{7} + 92566512 T^{8} + 223839706 T^{9} - 3271806804 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 12 T - 84 T^{2} + 454 T^{3} + 14832 T^{4} - 6264 T^{5} - 1475337 T^{6} - 494856 T^{7} + 92566512 T^{8} + 223839706 T^{9} - 3271806804 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 8 T - 201 T^{2} + 920 T^{3} + 28853 T^{4} - 55488 T^{5} - 3083690 T^{6} + 2064928 T^{7} + 256704030 T^{8} + 163129312 T^{9} - 19245309290 T^{10} - 27357748032 T^{11} + 1123826687093 T^{12} + 2830891887080 T^{13} - 48860578559721 T^{14} - 153631271889272 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 7 T + 6 T^{2} + 609 T^{3} - 7809 T^{4} + 35112 T^{5} + 213797 T^{6} - 5183759 T^{7} + 23372886 T^{8} - 409516961 T^{9} + 1334307077 T^{10} + 17311585368 T^{11} - 304161182529 T^{12} + 1873927346991 T^{13} + 1458524733126 T^{14} - 134427362903113 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 7 T + 6 T^{2} + 609 T^{3} - 7809 T^{4} + 35112 T^{5} + 213797 T^{6} - 5183759 T^{7} + 23372886 T^{8} - 409516961 T^{9} + 1334307077 T^{10} + 17311585368 T^{11} - 304161182529 T^{12} + 1873927346991 T^{13} + 1458524733126 T^{14} - 134427362903113 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 8 T - 201 T^{2} + 920 T^{3} + 28853 T^{4} - 55488 T^{5} - 3083690 T^{6} + 2064928 T^{7} + 256704030 T^{8} + 163129312 T^{9} - 19245309290 T^{10} - 27357748032 T^{11} + 1123826687093 T^{12} + 2830891887080 T^{13} - 48860578559721 T^{14} - 153631271889272 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 5 T - 44 T^{2} - 733 T^{3} + 6395 T^{4} + 22072 T^{5} + 1021340 T^{6} - 6862144 T^{7} - 46543880 T^{8} - 542109376 T^{9} + 6374182940 T^{10} + 10882356808 T^{11} + 249085767995 T^{12} - 2255482340467 T^{13} - 10695848042924 T^{14} - 96019544930795 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 7 T - 158 T^{2} - 889 T^{3} + 11435 T^{4} + 9100 T^{5} - 1504939 T^{6} + 1418207 T^{7} + 173668174 T^{8} + 112038353 T^{9} - 9392324299 T^{10} + 4486654900 T^{11} + 445394176235 T^{12} - 2735503138711 T^{13} - 38407817972318 T^{14} + 134427362903113 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 17 T - 2 T^{2} + 611 T^{3} + 7367 T^{4} - 5816 T^{5} - 1127755 T^{6} + 4949663 T^{7} + 11692942 T^{8} + 391023377 T^{9} - 7038318955 T^{10} - 2867514824 T^{11} + 286945246727 T^{12} + 1880081459789 T^{13} - 486174911042 T^{14} - 326466452764703 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 16 T + T^{2} - 736 T^{3} - 271 T^{4} - 52304 T^{5} - 888178 T^{6} + 790928 T^{7} + 66112030 T^{8} + 62483312 T^{9} - 5543118898 T^{10} - 25787911856 T^{11} - 10555471951 T^{12} - 2264713509664 T^{13} + 243087455521 T^{14} + 307262543778544 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 + 4 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 5 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 + 5 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 12 T + 154 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 249 T^{3} + 6889 T^{4} \))(\( ( 1 + 10 T + 83 T^{2} )^{2} \))(\( ( 1 - 10 T + 83 T^{2} )^{2} \))(\( 1 - 3 T - 38 T^{2} - 249 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 154 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( ( 1 - 120 T^{2} + 13538 T^{4} - 826680 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 252 T^{2} + 47280 T^{4} - 5629572 T^{6} + 552317774 T^{8} - 38782121508 T^{10} + 2243829416880 T^{12} - 82388974088988 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 138 T^{2} + 13627 T^{4} - 1173792 T^{6} + 82503245 T^{8} - 3517947618 T^{10} + 568364854805 T^{12} - 55706197523232 T^{14} + 4455216467899363 T^{16} - 310816328035187658 T^{18} + 15516041187205853449 T^{20} )^{2} \))(\( 1 - 232 T^{2} + 34596 T^{4} - 3949112 T^{6} + 355979174 T^{8} - 27205432568 T^{10} + 1641868073316 T^{12} - 75850166621608 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 232 T^{2} + 34596 T^{4} - 3949112 T^{6} + 355979174 T^{8} - 27205432568 T^{10} + 1641868073316 T^{12} - 75850166621608 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 + 132 T^{2} + 12996 T^{4} + 1459932 T^{6} + 170705174 T^{8} + 10057471548 T^{10} + 616768339716 T^{12} + 43156129284708 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 339 T^{2} + 56745 T^{4} + 6361962 T^{6} + 567506462 T^{8} + 43827556218 T^{10} + 2693022425145 T^{12} + 110832786572091 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( 1 + 15 T + 142 T^{2} + 1245 T^{3} + 6889 T^{4} \))(\( 1 + 13 T + 86 T^{2} + 1079 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 83 T^{2} + 6889 T^{4} \))(\( 1 + 6 T - 42 T^{2} - 2610 T^{3} - 9624 T^{4} + 83688 T^{5} + 2759119 T^{6} + 6946104 T^{7} - 66299736 T^{8} - 1492364070 T^{9} - 1993249482 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( 1 - 6 T - 113 T^{2} + 1704 T^{3} + 3151 T^{4} - 166296 T^{5} + 1416277 T^{6} + 7918434 T^{7} - 172589093 T^{8} + 657230022 T^{9} + 9756732253 T^{10} - 95085890952 T^{11} + 149541169471 T^{12} + 6712125255672 T^{13} - 36944262190697 T^{14} - 162816305937762 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 8 T - 259 T^{2} - 1146 T^{3} + 49577 T^{4} + 119878 T^{5} - 6175577 T^{6} - 3335418 T^{7} + 604903483 T^{8} - 276839694 T^{9} - 42543549953 T^{10} + 68544681986 T^{11} + 2352841180217 T^{12} - 4514140576878 T^{13} - 84677556702571 T^{14} + 217088407917016 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 20 T + 98 T^{2} + 318 T^{3} + 879 T^{4} - 169800 T^{5} - 2124519 T^{6} - 6011178 T^{7} + 51057123 T^{8} + 1398046658 T^{9} + 18343755493 T^{10} + 116037872614 T^{11} + 351732520347 T^{12} - 3437113435086 T^{13} - 100826104672599 T^{14} - 668849101181400 T^{15} + 287380588191351 T^{16} + 8629264214701386 T^{17} + 220724638749626018 T^{18} + 3738805105350808060 T^{19} + 15516041187205853449 T^{20} \))(\( ( 1 + 14 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 - 14 T + 83 T^{2} )^{2} \))(\( ( 1 - 15 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 14 T + 83 T^{2} )^{2} \))(\( ( 1 + 15 T + 83 T^{2} )^{2} \))(\( ( 1 - 14 T + 83 T^{2} )^{2} \))(\( ( 1 + T + 129 T^{2} + 313 T^{3} + 10707 T^{4} + 6889 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - T + 129 T^{2} - 313 T^{3} + 10707 T^{4} - 6889 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 20 T + 360 T^{2} + 3684 T^{3} + 40318 T^{4} + 305772 T^{5} + 2480040 T^{6} + 11435740 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 29 T + 560 T^{2} - 7232 T^{3} + 75754 T^{4} - 600256 T^{5} + 3857840 T^{6} - 16581823 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 29 T + 560 T^{2} + 7232 T^{3} + 75754 T^{4} + 600256 T^{5} + 3857840 T^{6} + 16581823 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 20 T + 360 T^{2} - 3684 T^{3} + 40318 T^{4} - 305772 T^{5} + 2480040 T^{6} - 11435740 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 + 13 T + 86 T^{2} + 1079 T^{3} + 6889 T^{4} \))(\( 1 + 15 T + 142 T^{2} + 1245 T^{3} + 6889 T^{4} \))(\( ( 1 + 420 T^{2} + 87492 T^{4} + 11760060 T^{6} + 1135300886 T^{8} + 81015053340 T^{10} + 4152223420932 T^{12} + 137314956814980 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 366 T^{2} + 69987 T^{4} + 9026481 T^{6} + 861047891 T^{8} + 62183427609 T^{10} + 3321465511827 T^{12} + 119660176653054 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 429 T^{2} + 94512 T^{4} + 13346472 T^{6} + 1314527120 T^{8} + 91943845608 T^{10} + 4485380834352 T^{12} + 140257420175301 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 384 T^{2} + 77916 T^{4} + 10524288 T^{6} + 1018130534 T^{8} + 72501820032 T^{10} + 3697762539036 T^{12} + 125545103373696 T^{14} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 9 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 + 32 T + 431 T^{2} + 2848 T^{3} + 7921 T^{4} \))(\( 1 + 11 T + 200 T^{2} + 979 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 151 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 151 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 11 T + 200 T^{2} - 979 T^{3} + 7921 T^{4} \))(\( 1 - 32 T + 431 T^{2} - 2848 T^{3} + 7921 T^{4} \))(\( ( 1 + 13 T + 89 T^{2} )^{2} \))(\( ( 1 - 13 T + 89 T^{2} )^{2} \))(\( ( 1 + 204 T^{2} + 25511 T^{4} + 1615884 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 364 T^{2} + 76230 T^{4} + 10653296 T^{6} + 1102200539 T^{8} + 84384757616 T^{10} + 4782841031430 T^{12} + 180901189909804 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 547 T^{2} + 153205 T^{4} + 28413396 T^{6} + 3828024122 T^{8} + 389779473874 T^{10} + 30321779070362 T^{12} + 1782720139460436 T^{14} + 76140018681680005 T^{16} + 2153314076719038307 T^{18} + 31181719929966183601 T^{20} )^{2} \))(\( 1 - 292 T^{2} + 47890 T^{4} - 6052768 T^{6} + 614802619 T^{8} - 47943975328 T^{10} + 3004725921490 T^{12} - 145118536960612 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 292 T^{2} + 47890 T^{4} - 6052768 T^{6} + 614802619 T^{8} - 47943975328 T^{10} + 3004725921490 T^{12} - 145118536960612 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 + 351 T^{2} + 57993 T^{4} + 6040074 T^{6} + 534549758 T^{8} + 47843426154 T^{10} + 3638610782313 T^{12} + 174440433127311 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 321 T^{2} + 55134 T^{4} + 6909375 T^{6} + 691071074 T^{8} + 54729159375 T^{10} + 3459230715294 T^{12} + 159530994398481 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 + 5 T - 64 T^{2} + 445 T^{3} + 7921 T^{4} \))(\( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} \))(\( ( 1 + 4 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 318 T^{2} - 3241 T^{3} + 28302 T^{4} - 142578 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 - 14 T + 323 T^{2} - 2963 T^{3} + 41152 T^{4} - 263707 T^{5} + 2558483 T^{6} - 9869566 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 6 T + 263 T^{2} + 1377 T^{3} + 32646 T^{4} + 122553 T^{5} + 2083223 T^{6} + 4229814 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 12 T + 292 T^{2} - 2463 T^{3} + 41383 T^{4} - 291726 T^{5} + 3683087 T^{6} - 19509423 T^{7} + 205850948 T^{8} - 752906892 T^{9} + 5584059449 T^{10} )^{2} \))(\( 1 - 12 T + 55 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 2 T - 85 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4} \))(\( 1 + 2 T - 85 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 17 T - 57 T^{2} + 344 T^{3} + 36001 T^{4} - 164759 T^{5} - 1843186 T^{6} - 14663551 T^{7} + 285163921 T^{8} + 242509336 T^{9} - 3576307737 T^{10} - 94929010633 T^{11} + 496981290961 T^{12} \))(\( 1 + 17 T - 57 T^{2} - 344 T^{3} + 36001 T^{4} + 164759 T^{5} - 1843186 T^{6} + 14663551 T^{7} + 285163921 T^{8} - 242509336 T^{9} - 3576307737 T^{10} + 94929010633 T^{11} + 496981290961 T^{12} \))(\( 1 + 16 T - 92 T^{2} - 1248 T^{3} + 22646 T^{4} + 83536 T^{5} - 3013152 T^{6} - 6008080 T^{7} + 235094707 T^{8} - 534719120 T^{9} - 23867176992 T^{10} + 58890290384 T^{11} + 1420860789686 T^{12} - 6968906192352 T^{13} - 45722278768412 T^{14} + 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 9 T - 128 T^{2} - 549 T^{3} + 20701 T^{4} + 107280 T^{5} - 329006 T^{6} - 7780266 T^{7} - 45486752 T^{8} - 692443674 T^{9} - 2606056526 T^{10} + 75629074320 T^{11} + 1298827130941 T^{12} - 3065648637501 T^{13} - 63613605243008 T^{14} - 398082014059761 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 9 T - 128 T^{2} + 549 T^{3} + 20701 T^{4} - 107280 T^{5} - 329006 T^{6} + 7780266 T^{7} - 45486752 T^{8} + 692443674 T^{9} - 2606056526 T^{10} - 75629074320 T^{11} + 1298827130941 T^{12} + 3065648637501 T^{13} - 63613605243008 T^{14} + 398082014059761 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 16 T - 92 T^{2} + 1248 T^{3} + 22646 T^{4} - 83536 T^{5} - 3013152 T^{6} + 6008080 T^{7} + 235094707 T^{8} + 534719120 T^{9} - 23867176992 T^{10} - 58890290384 T^{11} + 1420860789686 T^{12} + 6968906192352 T^{13} - 45722278768412 T^{14} - 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} \))(\( 1 + 5 T - 64 T^{2} + 445 T^{3} + 7921 T^{4} \))(\( 1 - 336 T^{2} + 57888 T^{4} - 4687200 T^{6} + 3621442 T^{8} + 39434248560 T^{10} - 2636071502976 T^{12} - 175948648527792 T^{14} + 38039673771388995 T^{16} - 1393689244988640432 T^{18} - \)\(16\!\cdots\!16\)\( T^{20} + \)\(19\!\cdots\!60\)\( T^{22} + \)\(14\!\cdots\!02\)\( T^{24} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(14\!\cdots\!48\)\( T^{28} - \)\(65\!\cdots\!76\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 117 T^{2} - 8940 T^{4} - 1399587 T^{6} + 32843593 T^{8} + 5083158288 T^{10} - 427680145674 T^{12} - 10515396835650 T^{14} + 3896148919948920 T^{16} - 83292458335183650 T^{18} - 26833610770793215434 T^{20} + \)\(25\!\cdots\!68\)\( T^{22} + \)\(12\!\cdots\!33\)\( T^{24} - \)\(43\!\cdots\!87\)\( T^{26} - \)\(22\!\cdots\!40\)\( T^{28} + \)\(22\!\cdots\!97\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 459 T^{2} + 117876 T^{4} - 19489923 T^{6} + 2201471017 T^{8} - 146522371824 T^{10} + 290930466582 T^{12} + 1282936732245342 T^{14} - 164379910475968584 T^{16} + 10162141856115353982 T^{18} + 18253629448530290262 T^{20} - \)\(72\!\cdots\!64\)\( T^{22} + \)\(86\!\cdots\!77\)\( T^{24} - \)\(60\!\cdots\!23\)\( T^{26} + \)\(29\!\cdots\!96\)\( T^{28} - \)\(89\!\cdots\!19\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 372 T^{2} + 60216 T^{4} - 6828360 T^{6} + 821869570 T^{8} - 102264008700 T^{10} + 10913950851840 T^{12} - 1024801936202364 T^{14} + 92017663830511443 T^{16} - 8117456136658925244 T^{18} + \)\(68\!\cdots\!40\)\( T^{20} - \)\(50\!\cdots\!00\)\( T^{22} + \)\(32\!\cdots\!70\)\( T^{24} - \)\(21\!\cdots\!60\)\( T^{26} + \)\(14\!\cdots\!36\)\( T^{28} - \)\(72\!\cdots\!52\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 16 T + 210 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 66 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 146 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 146 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 66 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 210 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 4 T + 138 T^{2} + 388 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 - 2 T + 70 T^{2} - 194 T^{3} + 9409 T^{4} )^{8} \))(\( ( 1 - 14 T + 341 T^{2} - 3480 T^{3} + 53038 T^{4} - 434964 T^{5} + 5144686 T^{6} - 32743320 T^{7} + 311221493 T^{8} - 1239409934 T^{9} + 8587340257 T^{10} )^{4} \))(\( ( 1 + 16 T + 300 T^{2} + 4208 T^{3} + 41318 T^{4} + 408176 T^{5} + 2822700 T^{6} + 14602768 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 16 T + 300 T^{2} + 4208 T^{3} + 41318 T^{4} + 408176 T^{5} + 2822700 T^{6} + 14602768 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 285 T^{2} + 64986 T^{4} - 9080499 T^{6} + 1059084650 T^{8} - 85438415091 T^{10} + 5753163855066 T^{12} - 237397021404765 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 537 T^{2} + 140634 T^{4} - 23455755 T^{6} + 2707648082 T^{8} - 220695198795 T^{10} + 12450226904154 T^{12} - 447305966646873 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 + 15 T + 168 T^{2} + 1477 T^{3} + 2385 T^{4} - 42462 T^{5} - 510111 T^{6} - 4118814 T^{7} + 22440465 T^{8} + 1348018021 T^{9} + 14872919208 T^{10} + 128810103855 T^{11} + 832972004929 T^{12} \))(\( 1 + T - 123 T^{2} - 856 T^{3} - 4138 T^{4} + 70242 T^{5} + 167026 T^{6} - 386291 T^{7} + 107246157 T^{8} - 37470227 T^{9} + 1571547634 T^{10} + 64107976866 T^{11} - 366334164778 T^{12} - 7350763259992 T^{13} - 102455556606267 T^{14} + 80798284478113 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 16 T - 175 T^{2} + 2086 T^{3} + 49490 T^{4} - 309968 T^{5} - 6453258 T^{6} + 6735477 T^{7} + 823825414 T^{8} + 653341269 T^{9} - 60718704522 T^{10} - 282899424464 T^{11} + 4381314116690 T^{12} + 17913191776102 T^{13} - 145770100862575 T^{14} - 1292772551649808 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 37 T + 608 T^{2} + 4491 T^{3} - 11038 T^{4} - 630495 T^{5} - 6947105 T^{6} - 31739955 T^{7} + 128335391 T^{8} + 3636093960 T^{9} + 40545974467 T^{10} + 352701114120 T^{11} + 1207507693919 T^{12} - 28968199949715 T^{13} - 615022210681505 T^{14} - 5414275095337215 T^{15} - 9194344990406302 T^{16} + 362865095591205483 T^{17} + 4765159625381192288 T^{18} + 28128549170218913029 T^{19} + 73742412689492826049 T^{20} \))(\( ( 1 + 15 T + 97 T^{2} )^{2} \))(\( ( 1 - T + 97 T^{2} )^{2} \))(\( ( 1 - T + 97 T^{2} )^{2} \))(\( ( 1 - 9 T + 97 T^{2} )^{2} \))(\( ( 1 + 5 T + 97 T^{2} )^{2} \))(\( ( 1 - T + 97 T^{2} )^{2} \))(\( ( 1 - T + 97 T^{2} )^{2} \))(\( ( 1 - 9 T + 97 T^{2} )^{2} \))(\( ( 1 + 5 T + 97 T^{2} )^{2} \))(\( ( 1 + 15 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 331 T^{2} - 2740 T^{3} + 32107 T^{4} - 131726 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 - 14 T + 331 T^{2} - 2740 T^{3} + 32107 T^{4} - 131726 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 230 T^{2} + 72 T^{3} + 26415 T^{4} + 6984 T^{5} + 2164070 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 4 T + 192 T^{2} - 412 T^{3} + 15886 T^{4} - 39964 T^{5} + 1806528 T^{6} + 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 4 T + 192 T^{2} - 412 T^{3} + 15886 T^{4} - 39964 T^{5} + 1806528 T^{6} + 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 230 T^{2} + 72 T^{3} + 26415 T^{4} + 6984 T^{5} + 2164070 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( ( 1 - 636 T^{2} + 187434 T^{4} - 33404592 T^{6} + 3937386611 T^{8} - 314303806128 T^{10} + 16593397254954 T^{12} - 529770195134844 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 225 T^{2} + 22662 T^{4} - 2838687 T^{6} + 365425586 T^{8} - 26709205983 T^{10} + 2006250566022 T^{12} - 187418701109025 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 252 T^{2} + 22644 T^{4} + 38076 T^{6} - 140127082 T^{8} + 358257084 T^{10} + 2004657038964 T^{12} - 209908945242108 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 372 T^{2} + 87042 T^{4} - 13239552 T^{6} + 1512714731 T^{8} - 124570944768 T^{10} + 7705765676802 T^{12} - 309865585833588 T^{14} + 7837433594376961 T^{16} )^{2} \))
show more
show less