Properties

Label 1386.2
Level 1386
Weight 2
Dimension 12890
Nonzero newspaces 40
Sturm bound 207360
Trace bound 9

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Defining parameters

Level: \( N \) = \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 40 \)
Sturm bound: \(207360\)
Trace bound: \(9\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1386))\).

Total New Old
Modular forms 53760 12890 40870
Cusp forms 49921 12890 37031
Eisenstein series 3839 0 3839

Trace form

\( 12890q - 4q^{2} - 12q^{3} - 8q^{4} - 12q^{5} + 12q^{6} - 30q^{7} + 8q^{8} + 12q^{9} + O(q^{10}) \) \( 12890q - 4q^{2} - 12q^{3} - 8q^{4} - 12q^{5} + 12q^{6} - 30q^{7} + 8q^{8} + 12q^{9} - 32q^{10} - 26q^{11} - 32q^{13} + 22q^{14} + 48q^{15} + 8q^{16} + 32q^{17} + 24q^{18} + 30q^{19} + 36q^{20} + 84q^{21} + 42q^{22} + 160q^{23} + 32q^{24} + 160q^{25} + 196q^{26} + 192q^{27} + 38q^{28} + 184q^{29} + 144q^{30} + 124q^{31} + 26q^{32} + 206q^{33} + 108q^{34} + 200q^{35} + 32q^{36} + 104q^{37} + 148q^{38} + 192q^{39} + 48q^{40} + 220q^{41} + 40q^{42} + 56q^{43} - 14q^{44} + 136q^{45} - 136q^{46} + 16q^{47} + 12q^{48} - 4q^{49} - 140q^{50} - 16q^{51} - 28q^{52} + 12q^{53} - 108q^{54} + 20q^{55} - 16q^{56} - 20q^{57} - 56q^{58} - 90q^{59} - 144q^{60} + 92q^{61} - 200q^{62} - 280q^{63} + 4q^{64} - 36q^{65} - 96q^{66} + 312q^{67} - 88q^{68} - 56q^{69} + 176q^{70} + 160q^{71} + 12q^{72} + 268q^{73} - 48q^{74} - 88q^{75} + 40q^{76} + 194q^{77} - 120q^{78} + 232q^{79} + 28q^{80} - 92q^{81} + 170q^{82} - 90q^{83} - 92q^{84} + 60q^{85} - 110q^{86} - 184q^{87} + 58q^{88} - 72q^{89} - 304q^{90} + 452q^{91} - 108q^{92} - 184q^{93} + 196q^{94} - 192q^{95} + 24q^{96} + 78q^{97} + 122q^{98} - 484q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1386))\)

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
1386.2.a \(\chi_{1386}(1, \cdot)\) 1386.2.a.a 1 1
1386.2.a.b 1
1386.2.a.c 1
1386.2.a.d 1
1386.2.a.e 1
1386.2.a.f 1
1386.2.a.g 1
1386.2.a.h 1
1386.2.a.i 1
1386.2.a.j 1
1386.2.a.k 1
1386.2.a.l 1
1386.2.a.m 2
1386.2.a.n 2
1386.2.a.o 2
1386.2.a.p 2
1386.2.a.q 3
1386.2.a.r 3
1386.2.c \(\chi_{1386}(197, \cdot)\) 1386.2.c.a 12 1
1386.2.c.b 12
1386.2.e \(\chi_{1386}(307, \cdot)\) 1386.2.e.a 8 1
1386.2.e.b 8
1386.2.e.c 8
1386.2.e.d 8
1386.2.e.e 8
1386.2.g \(\chi_{1386}(881, \cdot)\) 1386.2.g.a 16 1
1386.2.g.b 16
1386.2.i \(\chi_{1386}(529, \cdot)\) n/a 160 2
1386.2.j \(\chi_{1386}(463, \cdot)\) n/a 120 2
1386.2.k \(\chi_{1386}(793, \cdot)\) 1386.2.k.a 2 2
1386.2.k.b 2
1386.2.k.c 2
1386.2.k.d 2
1386.2.k.e 2
1386.2.k.f 2
1386.2.k.g 2
1386.2.k.h 2
1386.2.k.i 2
1386.2.k.j 2
1386.2.k.k 2
1386.2.k.l 2
1386.2.k.m 2
1386.2.k.n 2
1386.2.k.o 2
1386.2.k.p 2
1386.2.k.q 4
1386.2.k.r 4
1386.2.k.s 4
1386.2.k.t 4
1386.2.k.u 4
1386.2.k.v 6
1386.2.k.w 6
1386.2.l \(\chi_{1386}(67, \cdot)\) n/a 160 2
1386.2.m \(\chi_{1386}(379, \cdot)\) n/a 120 4
1386.2.n \(\chi_{1386}(439, \cdot)\) n/a 192 2
1386.2.p \(\chi_{1386}(65, \cdot)\) n/a 192 2
1386.2.r \(\chi_{1386}(89, \cdot)\) 1386.2.r.a 8 2
1386.2.r.b 8
1386.2.r.c 8
1386.2.r.d 24
1386.2.w \(\chi_{1386}(353, \cdot)\) n/a 160 2
1386.2.y \(\chi_{1386}(419, \cdot)\) n/a 160 2
1386.2.ba \(\chi_{1386}(989, \cdot)\) 1386.2.ba.a 32 2
1386.2.ba.b 32
1386.2.bd \(\chi_{1386}(241, \cdot)\) n/a 192 2
1386.2.bf \(\chi_{1386}(769, \cdot)\) n/a 192 2
1386.2.bh \(\chi_{1386}(263, \cdot)\) n/a 192 2
1386.2.bj \(\chi_{1386}(659, \cdot)\) n/a 144 2
1386.2.bk \(\chi_{1386}(703, \cdot)\) 1386.2.bk.a 16 2
1386.2.bk.b 16
1386.2.bk.c 16
1386.2.bk.d 32
1386.2.bn \(\chi_{1386}(551, \cdot)\) n/a 160 2
1386.2.bq \(\chi_{1386}(125, \cdot)\) n/a 128 4
1386.2.bs \(\chi_{1386}(811, \cdot)\) n/a 160 4
1386.2.bu \(\chi_{1386}(701, \cdot)\) 1386.2.bu.a 48 4
1386.2.bu.b 48
1386.2.bw \(\chi_{1386}(445, \cdot)\) n/a 768 8
1386.2.bx \(\chi_{1386}(37, \cdot)\) n/a 320 8
1386.2.by \(\chi_{1386}(169, \cdot)\) n/a 576 8
1386.2.bz \(\chi_{1386}(25, \cdot)\) n/a 768 8
1386.2.cb \(\chi_{1386}(47, \cdot)\) n/a 768 8
1386.2.ce \(\chi_{1386}(19, \cdot)\) n/a 320 8
1386.2.cf \(\chi_{1386}(29, \cdot)\) n/a 576 8
1386.2.ch \(\chi_{1386}(149, \cdot)\) n/a 768 8
1386.2.cj \(\chi_{1386}(13, \cdot)\) n/a 768 8
1386.2.cl \(\chi_{1386}(481, \cdot)\) n/a 768 8
1386.2.co \(\chi_{1386}(107, \cdot)\) n/a 256 8
1386.2.cq \(\chi_{1386}(335, \cdot)\) n/a 768 8
1386.2.cs \(\chi_{1386}(5, \cdot)\) n/a 768 8
1386.2.cx \(\chi_{1386}(269, \cdot)\) n/a 256 8
1386.2.cz \(\chi_{1386}(95, \cdot)\) n/a 768 8
1386.2.db \(\chi_{1386}(61, \cdot)\) n/a 768 8

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1386))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(1386)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(66))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(99))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(154))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(198))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(231))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(462))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(693))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 + T^{2} )^{8} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))
$3$ 1
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 25 T^{4} \))(\( 1 + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 8 T^{3} + 25 T^{4} + 50 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 5 T^{2} - 8 T^{3} + 25 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 - 28 T^{2} + 406 T^{4} - 4140 T^{6} + 33203 T^{8} - 217960 T^{10} + 1190956 T^{12} - 5449000 T^{14} + 20751875 T^{16} - 64687500 T^{18} + 158593750 T^{20} - 273437500 T^{22} + 244140625 T^{24} \))(\( 1 - 28 T^{2} + 406 T^{4} - 4140 T^{6} + 33203 T^{8} - 217960 T^{10} + 1190956 T^{12} - 5449000 T^{14} + 20751875 T^{16} - 64687500 T^{18} + 158593750 T^{20} - 273437500 T^{22} + 244140625 T^{24} \))(\( 1 - 12 T^{2} + 60 T^{4} - 260 T^{6} + 1366 T^{8} - 6500 T^{10} + 37500 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( ( 1 - 10 T^{2} + 54 T^{4} - 250 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{4} \))(\( 1 - 12 T^{2} + 60 T^{4} - 260 T^{6} + 1366 T^{8} - 6500 T^{10} + 37500 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( ( 1 + 16 T^{2} + 98 T^{4} + 192 T^{6} - 158 T^{8} + 4800 T^{10} + 61250 T^{12} + 250000 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 + 8 T^{2} + 66 T^{4} + 440 T^{6} + 1922 T^{8} + 11000 T^{10} + 41250 T^{12} + 125000 T^{14} + 390625 T^{16} )^{2} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 + 2 T - 5 T^{2} - 2 T^{3} + 36 T^{4} - 10 T^{5} - 125 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 - 3 T^{2} - 16 T^{4} - 75 T^{6} + 625 T^{8} \))(\( 1 - 2 T + 12 T^{3} - 29 T^{4} + 60 T^{5} - 250 T^{7} + 625 T^{8} \))(\( 1 + 4 T + 4 T^{2} + 8 T^{3} + 39 T^{4} + 40 T^{5} + 100 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 2 T - 5 T^{2} + 2 T^{3} + 36 T^{4} + 10 T^{5} - 125 T^{6} - 250 T^{7} + 625 T^{8} \))(\( ( 1 + 20 T^{3} + 125 T^{6} )^{2} \))(\( 1 - 6 T^{2} - 8 T^{3} + 6 T^{4} + 24 T^{5} + 86 T^{6} + 120 T^{7} + 150 T^{8} - 1000 T^{9} - 3750 T^{10} + 15625 T^{12} \))(\( 1 + 8 T + 24 T^{2} + 48 T^{3} + 161 T^{4} + 504 T^{5} + 1016 T^{6} + 2336 T^{7} + 6096 T^{8} + 11680 T^{9} + 25400 T^{10} + 63000 T^{11} + 100625 T^{12} + 150000 T^{13} + 375000 T^{14} + 625000 T^{15} + 390625 T^{16} \))(\( ( 1 - 4 T^{2} - 9 T^{4} - 100 T^{6} + 625 T^{8} )^{2} \))(\( 1 - 8 T + 24 T^{2} - 48 T^{3} + 161 T^{4} - 504 T^{5} + 1016 T^{6} - 2336 T^{7} + 6096 T^{8} - 11680 T^{9} + 25400 T^{10} - 63000 T^{11} + 100625 T^{12} - 150000 T^{13} + 375000 T^{14} - 625000 T^{15} + 390625 T^{16} \))(\( 1 + 12 T + 87 T^{2} + 468 T^{3} + 2046 T^{4} + 7608 T^{5} + 24941 T^{6} + 74172 T^{7} + 205763 T^{8} + 546324 T^{9} + 1417364 T^{10} + 3630492 T^{11} + 9187996 T^{12} + 22829256 T^{13} + 55306820 T^{14} + 129962868 T^{15} + 295561964 T^{16} + 649814340 T^{17} + 1382670500 T^{18} + 2853657000 T^{19} + 5742497500 T^{20} + 11345287500 T^{21} + 22146312500 T^{22} + 42681562500 T^{23} + 80376171875 T^{24} + 144867187500 T^{25} + 243564453125 T^{26} + 371484375000 T^{27} + 499511718750 T^{28} + 571289062500 T^{29} + 531005859375 T^{30} + 366210937500 T^{31} + 152587890625 T^{32} \))(\( 1 + 12 T + 87 T^{2} + 468 T^{3} + 2046 T^{4} + 7608 T^{5} + 24941 T^{6} + 74172 T^{7} + 205763 T^{8} + 546324 T^{9} + 1417364 T^{10} + 3630492 T^{11} + 9187996 T^{12} + 22829256 T^{13} + 55306820 T^{14} + 129962868 T^{15} + 295561964 T^{16} + 649814340 T^{17} + 1382670500 T^{18} + 2853657000 T^{19} + 5742497500 T^{20} + 11345287500 T^{21} + 22146312500 T^{22} + 42681562500 T^{23} + 80376171875 T^{24} + 144867187500 T^{25} + 243564453125 T^{26} + 371484375000 T^{27} + 499511718750 T^{28} + 571289062500 T^{29} + 531005859375 T^{30} + 366210937500 T^{31} + 152587890625 T^{32} \))(\( ( 1 - 6 T + 28 T^{2} - 96 T^{3} + 280 T^{4} - 792 T^{5} + 2128 T^{6} - 5490 T^{7} + 13015 T^{8} - 27450 T^{9} + 53200 T^{10} - 99000 T^{11} + 175000 T^{12} - 300000 T^{13} + 437500 T^{14} - 468750 T^{15} + 390625 T^{16} )^{2} \))
$7$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T^{2} )^{6} \))(\( ( 1 + T^{2} )^{6} \))(\( 1 + 6 T^{2} + 16 T^{3} + 50 T^{4} + 112 T^{5} + 294 T^{6} + 2401 T^{8} \))(\( ( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 7 T^{2} )^{4} \))(\( ( 1 - 4 T^{2} + 49 T^{4} )^{2} \))(\( 1 + 6 T^{2} - 16 T^{3} + 50 T^{4} - 112 T^{5} + 294 T^{6} + 2401 T^{8} \))(\( ( 1 + 4 T + 6 T^{2} + 28 T^{3} + 122 T^{4} + 196 T^{5} + 294 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 6 T^{2} - 8 T^{3} + 66 T^{4} - 56 T^{5} - 294 T^{6} + 2401 T^{8} )^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 7 T^{2} + 49 T^{4} \))(\( 1 + 7 T^{2} + 49 T^{4} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} - 20 T^{3} + 42 T^{4} + 343 T^{6} \))(\( 1 + 12 T^{2} - 4 T^{3} + 84 T^{4} + 343 T^{6} \))(\( 1 + 71 T^{4} + 2401 T^{8} \))(\( ( 1 + 2 T + 7 T^{2} )^{4} \))(\( 1 + 71 T^{4} + 2401 T^{8} \))(\( 1 + 6 T + 21 T^{2} + 10 T^{3} - 137 T^{4} - 548 T^{5} - 284 T^{6} + 4016 T^{7} + 16958 T^{8} + 28112 T^{9} - 13916 T^{10} - 187964 T^{11} - 328937 T^{12} + 168070 T^{13} + 2470629 T^{14} + 4941258 T^{15} + 5764801 T^{16} \))(\( 1 - 6 T + 21 T^{2} - 10 T^{3} - 137 T^{4} + 548 T^{5} - 284 T^{6} - 4016 T^{7} + 16958 T^{8} - 28112 T^{9} - 13916 T^{10} + 187964 T^{11} - 328937 T^{12} - 168070 T^{13} + 2470629 T^{14} - 4941258 T^{15} + 5764801 T^{16} \))(\( 1 - 4 T^{2} + 82 T^{4} + 332 T^{6} + 1387 T^{8} + 16268 T^{10} + 196882 T^{12} - 470596 T^{14} + 5764801 T^{16} \))
$11$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( 1 - 4 T + 6 T^{2} - 28 T^{3} - 57 T^{4} + 472 T^{5} - 556 T^{6} + 5192 T^{7} - 6897 T^{8} - 37268 T^{9} + 87846 T^{10} - 644204 T^{11} + 1771561 T^{12} \))(\( 1 + 4 T + 6 T^{2} + 28 T^{3} - 57 T^{4} - 472 T^{5} - 556 T^{6} - 5192 T^{7} - 6897 T^{8} + 37268 T^{9} + 87846 T^{10} + 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 8 T + 40 T^{2} - 168 T^{3} + 606 T^{4} - 1848 T^{5} + 4840 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( ( 1 + 2 T + 2 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 18 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 8 T + 40 T^{2} - 168 T^{3} + 606 T^{4} - 1848 T^{5} + 4840 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 + T^{2} )^{8} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( 1 - 4 T + 24 T^{2} - 112 T^{3} + 274 T^{4} - 1572 T^{5} + 5408 T^{6} - 18012 T^{7} + 86915 T^{8} - 198132 T^{9} + 654368 T^{10} - 2092332 T^{11} + 4011634 T^{12} - 18037712 T^{13} + 42517464 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T - 9 T^{2} + 20 T^{3} + 421 T^{4} - 960 T^{5} - 2794 T^{6} - 2664 T^{7} + 71702 T^{8} - 29304 T^{9} - 338074 T^{10} - 1277760 T^{11} + 6163861 T^{12} + 3221020 T^{13} - 15944049 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 8 T + 44 T^{2} + 240 T^{3} + 1082 T^{4} + 4552 T^{5} + 17200 T^{6} + 62088 T^{7} + 220771 T^{8} + 682968 T^{9} + 2081200 T^{10} + 6058712 T^{11} + 15841562 T^{12} + 38652240 T^{13} + 77948684 T^{14} + 155897368 T^{15} + 214358881 T^{16} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - 5 T^{2} - 16 T^{3} - 65 T^{4} + 2197 T^{6} \))(\( 1 - 5 T^{2} - 16 T^{3} - 65 T^{4} + 2197 T^{6} \))(\( 1 - 72 T^{2} + 2446 T^{4} - 54792 T^{6} + 980463 T^{8} - 15532784 T^{10} + 217305124 T^{12} - 2625040496 T^{14} + 28003003743 T^{16} - 264470518728 T^{18} + 1995277343566 T^{20} - 9925811413128 T^{22} + 23298085122481 T^{24} \))(\( 1 - 72 T^{2} + 2446 T^{4} - 54792 T^{6} + 980463 T^{8} - 15532784 T^{10} + 217305124 T^{12} - 2625040496 T^{14} + 28003003743 T^{16} - 264470518728 T^{18} + 1995277343566 T^{20} - 9925811413128 T^{22} + 23298085122481 T^{24} \))(\( ( 1 + 26 T^{2} - 56 T^{3} + 322 T^{4} - 728 T^{5} + 4394 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 42 T^{2} + 758 T^{4} + 7098 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 24 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 26 T^{2} + 56 T^{3} + 322 T^{4} + 728 T^{5} + 4394 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 13 T^{2} )^{16} \))(\( ( 1 - 16 T^{2} + 444 T^{4} - 6256 T^{6} + 99494 T^{8} - 1057264 T^{10} + 12681084 T^{12} - 77228944 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 + 7 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 8 T + 34 T^{2} + 104 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{4} \))(\( ( 1 - 5 T + 13 T^{2} )^{4} \))(\( ( 1 + 2 T + 19 T^{2} + 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 8 T + 34 T^{2} + 104 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{6} \))(\( ( 1 + 3 T^{2} + 32 T^{3} + 39 T^{4} + 2197 T^{6} )^{2} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 40 T^{2} - 8 T^{3} + 576 T^{4} + 648 T^{5} + 3672 T^{6} + 30816 T^{7} + 19294 T^{8} + 400608 T^{9} + 620568 T^{10} + 1423656 T^{11} + 16451136 T^{12} - 2970344 T^{13} + 193072360 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 40 T^{2} + 8 T^{3} + 576 T^{4} - 648 T^{5} + 3672 T^{6} - 30816 T^{7} + 19294 T^{8} - 400608 T^{9} + 620568 T^{10} - 1423656 T^{11} + 16451136 T^{12} + 2970344 T^{13} + 193072360 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 60 T^{2} + 1810 T^{4} + 37104 T^{6} + 559467 T^{8} + 6270576 T^{10} + 51695410 T^{12} + 289608540 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 40 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 40 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( 1 + 2 T + 41 T^{2} + 56 T^{3} + 697 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 41 T^{2} - 56 T^{3} + 697 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( ( 1 + 8 T + 82 T^{2} + 544 T^{3} + 3281 T^{4} + 16320 T^{5} + 73608 T^{6} + 277440 T^{7} + 948209 T^{8} + 2672672 T^{9} + 6848722 T^{10} + 11358856 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 - 8 T + 82 T^{2} - 544 T^{3} + 3281 T^{4} - 16320 T^{5} + 73608 T^{6} - 277440 T^{7} + 948209 T^{8} - 2672672 T^{9} + 6848722 T^{10} - 11358856 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 + 6 T + 58 T^{2} + 226 T^{3} + 1370 T^{4} + 3842 T^{5} + 16762 T^{6} + 29478 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 22 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 14 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 6 T + 58 T^{2} - 226 T^{3} + 1370 T^{4} - 3842 T^{5} + 16762 T^{6} - 29478 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 52 T^{2} + 1910 T^{4} + 47364 T^{6} + 933538 T^{8} + 13688196 T^{10} + 159525110 T^{12} + 1255153588 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 84 T^{2} + 3462 T^{4} + 94052 T^{6} + 1855362 T^{8} + 27181028 T^{10} + 289149702 T^{12} + 2027555796 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + T - 16 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 + T - 16 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 5 T + 8 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - 10 T + 49 T^{2} - 170 T^{3} + 612 T^{4} - 2890 T^{5} + 14161 T^{6} - 49130 T^{7} + 83521 T^{8} \))(\( ( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )^{2} \))(\( 1 + 4 T + 10 T^{2} - 112 T^{3} - 525 T^{4} - 1904 T^{5} + 2890 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 10 T + 49 T^{2} + 170 T^{3} + 612 T^{4} + 2890 T^{5} + 14161 T^{6} + 49130 T^{7} + 83521 T^{8} \))(\( 1 - 3 T + 15 T^{2} - 56 T^{3} + 249 T^{4} - 1701 T^{5} + 7982 T^{6} - 28917 T^{7} + 71961 T^{8} - 275128 T^{9} + 1252815 T^{10} - 4259571 T^{11} + 24137569 T^{12} \))(\( ( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} )^{3} \))(\( 1 - 4 T - 18 T^{2} + 120 T^{3} + 89 T^{4} - 2088 T^{5} + 8462 T^{6} + 17972 T^{7} - 230892 T^{8} + 305524 T^{9} + 2445518 T^{10} - 10258344 T^{11} + 7433369 T^{12} + 170382840 T^{13} - 434476242 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} \))(\( ( 1 - 31 T^{2} + 672 T^{4} - 8959 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 4 T - 18 T^{2} - 120 T^{3} + 89 T^{4} + 2088 T^{5} + 8462 T^{6} - 17972 T^{7} - 230892 T^{8} - 305524 T^{9} + 2445518 T^{10} + 10258344 T^{11} + 7433369 T^{12} - 170382840 T^{13} - 434476242 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 - 83 T^{2} - 136 T^{3} + 3476 T^{4} + 9688 T^{5} - 88483 T^{6} - 330960 T^{7} + 1572689 T^{8} + 6175216 T^{9} - 26163616 T^{10} - 52036944 T^{11} + 628563790 T^{12} - 195542384 T^{13} - 16654549258 T^{14} + 4829420752 T^{15} + 337953189016 T^{16} + 82100152784 T^{17} - 4813164735562 T^{18} - 960699732592 T^{19} + 52498276304590 T^{20} - 73885019197008 T^{21} - 631526086489504 T^{22} + 2533929938928368 T^{23} + 10970696994128849 T^{24} - 39247843605447120 T^{25} - 178381188293428867 T^{26} + 332026131428348504 T^{27} + 2025194896610649236 T^{28} - 1347022612475207432 T^{29} - 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 83 T^{2} + 136 T^{3} + 3476 T^{4} - 9688 T^{5} - 88483 T^{6} + 330960 T^{7} + 1572689 T^{8} - 6175216 T^{9} - 26163616 T^{10} + 52036944 T^{11} + 628563790 T^{12} + 195542384 T^{13} - 16654549258 T^{14} - 4829420752 T^{15} + 337953189016 T^{16} - 82100152784 T^{17} - 4813164735562 T^{18} + 960699732592 T^{19} + 52498276304590 T^{20} + 73885019197008 T^{21} - 631526086489504 T^{22} - 2533929938928368 T^{23} + 10970696994128849 T^{24} + 39247843605447120 T^{25} - 178381188293428867 T^{26} - 332026131428348504 T^{27} + 2025194896610649236 T^{28} + 1347022612475207432 T^{29} - 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 44 T^{2} + 876 T^{4} - 20488 T^{6} + 372650 T^{8} - 2186196 T^{10} - 4370480 T^{12} + 757707148 T^{14} - 25935551901 T^{16} + 218977365772 T^{18} - 365026860080 T^{20} - 52769456797524 T^{22} + 2599516010388650 T^{24} - 41303683032399112 T^{26} + 510377079813270636 T^{28} - 7408624368613640876 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 10 T + 58 T^{2} + 190 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 32 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 32 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 - 10 T + 51 T^{2} - 192 T^{3} + 969 T^{4} - 3610 T^{5} + 6859 T^{6} \))(\( 1 - 10 T + 51 T^{2} - 192 T^{3} + 969 T^{4} - 3610 T^{5} + 6859 T^{6} \))(\( 1 - 160 T^{2} + 11778 T^{4} - 534704 T^{6} + 17109267 T^{8} - 423470864 T^{10} + 8702489988 T^{12} - 152872981904 T^{14} + 2229696784707 T^{16} - 25155620754224 T^{18} + 200032405496898 T^{20} - 980970601248160 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 160 T^{2} + 11778 T^{4} - 534704 T^{6} + 17109267 T^{8} - 423470864 T^{10} + 8702489988 T^{12} - 152872981904 T^{14} + 2229696784707 T^{16} - 25155620754224 T^{18} + 200032405496898 T^{20} - 980970601248160 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 + 2 T + 18 T^{2} - 94 T^{3} - 78 T^{4} - 1786 T^{5} + 6498 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 42 T^{2} + 974 T^{4} + 15162 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 30 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 + 30 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 2 T + 18 T^{2} + 94 T^{3} - 78 T^{4} + 1786 T^{5} + 6498 T^{6} - 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 962 T^{4} - 25584 T^{6} + 675522 T^{8} - 9235824 T^{10} + 125368802 T^{12} - 2258202288 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 96 T^{2} + 3954 T^{4} - 98080 T^{6} + 1928610 T^{8} - 35406880 T^{10} + 515289234 T^{12} - 4516404576 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 4 T - 18 T^{2} + 16 T^{3} + 491 T^{4} + 304 T^{5} - 6498 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( ( 1 - 12 T + 67 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 67 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( 1 - 6 T - 4 T^{2} - 12 T^{3} + 555 T^{4} - 228 T^{5} - 1444 T^{6} - 41154 T^{7} + 130321 T^{8} \))(\( 1 - 4 T - 24 T^{2} - 8 T^{3} + 935 T^{4} - 152 T^{5} - 8664 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 4 T - 18 T^{2} + 16 T^{3} + 491 T^{4} + 304 T^{5} - 6498 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 9 T + 12 T^{2} + 7 T^{3} + 624 T^{4} - 1317 T^{5} - 7386 T^{6} - 25023 T^{7} + 225264 T^{8} + 48013 T^{9} + 1563852 T^{10} - 22284891 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 12 T^{2} + 237 T^{3} - 408 T^{4} - 1839 T^{5} + 24590 T^{6} - 34941 T^{7} - 147288 T^{8} + 1625583 T^{9} - 1563852 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 24 T + 284 T^{2} - 2208 T^{3} + 12394 T^{4} - 50808 T^{5} + 139952 T^{6} - 178344 T^{7} - 68669 T^{8} - 3388536 T^{9} + 50522672 T^{10} - 348492072 T^{11} + 1615198474 T^{12} - 5467226592 T^{13} + 13361030204 T^{14} - 21452921736 T^{15} + 16983563041 T^{16} \))(\( ( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{4} \))(\( 1 - 24 T + 284 T^{2} - 2208 T^{3} + 12394 T^{4} - 50808 T^{5} + 139952 T^{6} - 178344 T^{7} - 68669 T^{8} - 3388536 T^{9} + 50522672 T^{10} - 348492072 T^{11} + 1615198474 T^{12} - 5467226592 T^{13} + 13361030204 T^{14} - 21452921736 T^{15} + 16983563041 T^{16} \))(\( 1 + 10 T - 45 T^{2} - 610 T^{3} + 1855 T^{4} + 21532 T^{5} - 86816 T^{6} - 626624 T^{7} + 3146255 T^{8} + 14837722 T^{9} - 93351433 T^{10} - 281206598 T^{11} + 2391274762 T^{12} + 3888807102 T^{13} - 54784474877 T^{14} - 26032287962 T^{15} + 1117775138348 T^{16} - 494613471278 T^{17} - 19777195430597 T^{18} + 26673327912618 T^{19} + 311633318258602 T^{20} - 696295376101202 T^{21} - 4391800408097473 T^{22} + 13263020366938558 T^{23} + 53434620135561455 T^{24} - 202203855933068096 T^{25} - 532274648237251616 T^{26} + 2508268254596451508 T^{27} + 4105699174867728655 T^{28} - 25652319911976805990 T^{29} - 35955300860229785445 T^{30} + \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 10 T - 45 T^{2} + 610 T^{3} + 1855 T^{4} - 21532 T^{5} - 86816 T^{6} + 626624 T^{7} + 3146255 T^{8} - 14837722 T^{9} - 93351433 T^{10} + 281206598 T^{11} + 2391274762 T^{12} - 3888807102 T^{13} - 54784474877 T^{14} + 26032287962 T^{15} + 1117775138348 T^{16} + 494613471278 T^{17} - 19777195430597 T^{18} - 26673327912618 T^{19} + 311633318258602 T^{20} + 696295376101202 T^{21} - 4391800408097473 T^{22} - 13263020366938558 T^{23} + 53434620135561455 T^{24} + 202203855933068096 T^{25} - 532274648237251616 T^{26} - 2508268254596451508 T^{27} + 4105699174867728655 T^{28} + 25652319911976805990 T^{29} - 35955300860229785445 T^{30} - \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 72 T^{2} + 2924 T^{4} - 67896 T^{6} + 796942 T^{8} + 4900284 T^{10} - 422590480 T^{12} + 10241692560 T^{14} - 201732257981 T^{16} + 3697251014160 T^{18} - 55072413944080 T^{20} + 230538177930204 T^{22} + 13534914697020622 T^{24} - 416274874639656696 T^{26} + 6471732823349454764 T^{28} - 57528481376367656712 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( 1 + 6 T^{2} + 529 T^{4} \))(\( 1 + 6 T^{2} + 529 T^{4} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 + 2 T + 13 T^{2} + 44 T^{3} + 299 T^{4} + 1058 T^{5} + 12167 T^{6} \))(\( 1 - 2 T + 13 T^{2} - 44 T^{3} + 299 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 - 96 T^{2} + 4750 T^{4} - 133568 T^{6} + 1875743 T^{8} + 10251552 T^{10} - 844938012 T^{12} + 5423071008 T^{14} + 524909796863 T^{16} - 19772857621952 T^{18} + 371977180084750 T^{20} - 3976945076510304 T^{22} + 21914624432020321 T^{24} \))(\( 1 - 96 T^{2} + 4750 T^{4} - 133568 T^{6} + 1875743 T^{8} + 10251552 T^{10} - 844938012 T^{12} + 5423071008 T^{14} + 524909796863 T^{16} - 19772857621952 T^{18} + 371977180084750 T^{20} - 3976945076510304 T^{22} + 21914624432020321 T^{24} \))(\( ( 1 - 4 T + 46 T^{2} + 12 T^{3} + 634 T^{4} + 276 T^{5} + 24334 T^{6} - 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{8} \))(\( ( 1 + 18 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 + 36 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 4 T + 46 T^{2} + 12 T^{3} + 634 T^{4} + 276 T^{5} + 24334 T^{6} - 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 64 T^{2} + 2876 T^{4} - 85440 T^{6} + 2216902 T^{8} - 45197760 T^{10} + 804822716 T^{12} - 9474296896 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 23 T^{2} )^{16} \))(\( 1 + 2 T - 19 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + 7 T + 26 T^{2} + 161 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 7 T + 26 T^{2} - 161 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 2 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 + 7 T + 26 T^{2} + 161 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 - 7 T + 26 T^{2} - 161 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 25 T^{2} - 34 T^{3} + 220 T^{4} - 782 T^{5} - 13225 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 - 39 T^{2} + 992 T^{4} - 20631 T^{6} + 279841 T^{8} \))(\( 1 + 2 T - 36 T^{2} - 12 T^{3} + 979 T^{4} - 276 T^{5} - 19044 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 4 T - 16 T^{2} - 56 T^{3} + 127 T^{4} - 1288 T^{5} - 8464 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 2 T - 25 T^{2} + 34 T^{3} + 220 T^{4} + 782 T^{5} - 13225 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 - 3 T - 33 T^{2} - 28 T^{3} + 651 T^{4} + 2151 T^{5} - 18598 T^{6} + 49473 T^{7} + 344379 T^{8} - 340676 T^{9} - 9234753 T^{10} - 19309029 T^{11} + 148035889 T^{12} \))(\( 1 - 9 T + 9 T^{2} + 138 T^{3} - 9 T^{4} - 3249 T^{5} + 16702 T^{6} - 74727 T^{7} - 4761 T^{8} + 1679046 T^{9} + 2518569 T^{10} - 57927087 T^{11} + 148035889 T^{12} \))(\( 1 + 24 T + 344 T^{2} + 3648 T^{3} + 31425 T^{4} + 229104 T^{5} + 1458616 T^{6} + 8233512 T^{7} + 41664800 T^{8} + 189370776 T^{9} + 771607864 T^{10} + 2787508368 T^{11} + 8794003425 T^{12} + 23479779264 T^{13} + 50924345816 T^{14} + 81715810728 T^{15} + 78310985281 T^{16} \))(\( 1 + 38 T^{2} + 673 T^{4} - 10906 T^{6} - 449276 T^{8} - 5769274 T^{10} + 188332993 T^{12} + 5625363782 T^{14} + 78310985281 T^{16} \))(\( 1 - 24 T + 344 T^{2} - 3648 T^{3} + 31425 T^{4} - 229104 T^{5} + 1458616 T^{6} - 8233512 T^{7} + 41664800 T^{8} - 189370776 T^{9} + 771607864 T^{10} - 2787508368 T^{11} + 8794003425 T^{12} - 23479779264 T^{13} + 50924345816 T^{14} - 81715810728 T^{15} + 78310985281 T^{16} \))(\( 1 - 4 T - 41 T^{2} + 20 T^{3} + 650 T^{4} + 4928 T^{5} + 6233 T^{6} - 71332 T^{7} - 513481 T^{8} - 890932 T^{9} - 5650452 T^{10} + 16186748 T^{11} + 272810192 T^{12} + 1729443936 T^{13} + 7244408264 T^{14} - 39032598852 T^{15} - 342082835708 T^{16} - 897749773596 T^{17} + 3832291971656 T^{18} + 21042144369312 T^{19} + 76343476939472 T^{20} + 104183462182564 T^{21} - 836469685071828 T^{22} - 3033467945146604 T^{23} - 40211203033073161 T^{24} - 128479821647478716 T^{25} + 258211444394674217 T^{26} + 4695446486999832256 T^{27} + 14244505880813208650 T^{28} + 10080727238729347660 T^{29} - \)\(47\!\cdots\!69\)\( T^{30} - \)\(10\!\cdots\!28\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 4 T - 41 T^{2} + 20 T^{3} + 650 T^{4} + 4928 T^{5} + 6233 T^{6} - 71332 T^{7} - 513481 T^{8} - 890932 T^{9} - 5650452 T^{10} + 16186748 T^{11} + 272810192 T^{12} + 1729443936 T^{13} + 7244408264 T^{14} - 39032598852 T^{15} - 342082835708 T^{16} - 897749773596 T^{17} + 3832291971656 T^{18} + 21042144369312 T^{19} + 76343476939472 T^{20} + 104183462182564 T^{21} - 836469685071828 T^{22} - 3033467945146604 T^{23} - 40211203033073161 T^{24} - 128479821647478716 T^{25} + 258211444394674217 T^{26} + 4695446486999832256 T^{27} + 14244505880813208650 T^{28} + 10080727238729347660 T^{29} - \)\(47\!\cdots\!69\)\( T^{30} - \)\(10\!\cdots\!28\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 8 T - 22 T^{2} - 348 T^{3} + 368 T^{4} + 10318 T^{5} + 15976 T^{6} - 94008 T^{7} - 488945 T^{8} - 2162184 T^{9} + 8451304 T^{10} + 125539106 T^{11} + 102981488 T^{12} - 2239847364 T^{13} - 3256789558 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 38 T^{2} + 841 T^{4} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( 1 - 6 T + 55 T^{2} - 252 T^{3} + 1595 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 + 6 T + 55 T^{2} + 252 T^{3} + 1595 T^{4} + 5046 T^{5} + 24389 T^{6} \))(\( ( 1 + 8 T + 90 T^{2} + 536 T^{3} + 3579 T^{4} + 15808 T^{5} + 104468 T^{6} + 458432 T^{7} + 3009939 T^{8} + 13072504 T^{9} + 63655290 T^{10} + 164089192 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 - 8 T + 90 T^{2} - 536 T^{3} + 3579 T^{4} - 15808 T^{5} + 104468 T^{6} - 458432 T^{7} + 3009939 T^{8} - 13072504 T^{9} + 63655290 T^{10} - 164089192 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - 176 T^{2} + 14780 T^{4} - 766928 T^{6} + 26801446 T^{8} - 644986448 T^{10} + 10453613180 T^{12} - 104688904496 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 56 T^{2} + 1710 T^{4} - 47096 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 22 T^{2} + 841 T^{4} )^{4} \))(\( 1 - 176 T^{2} + 14780 T^{4} - 766928 T^{6} + 26801446 T^{8} - 644986448 T^{10} + 10453613180 T^{12} - 104688904496 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 124 T^{2} + 7688 T^{4} - 335700 T^{6} + 11178478 T^{8} - 282323700 T^{10} + 5437576328 T^{12} - 73758091804 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 44 T^{2} + 1256 T^{4} - 35556 T^{6} + 935342 T^{8} - 29902596 T^{10} + 888344936 T^{12} - 26172226124 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 9 T + 29 T^{2} )^{2} \))(\( ( 1 + 9 T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 + T + 29 T^{2} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{4} \))(\( ( 1 + 2 T + 31 T^{2} + 58 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 6 T + 35 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 9 T + 39 T^{2} + 174 T^{3} + 1131 T^{4} + 7569 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 9 T + 87 T^{2} + 430 T^{3} + 2523 T^{4} + 7569 T^{5} + 24389 T^{6} )^{2} \))(\( 1 - 88 T^{2} + 5028 T^{4} - 216200 T^{6} + 6970406 T^{8} - 181824200 T^{10} + 3556208868 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 62 T^{2} + 1995 T^{4} - 52142 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 88 T^{2} + 5028 T^{4} - 216200 T^{6} + 6970406 T^{8} - 181824200 T^{10} + 3556208868 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( 1 - 220 T^{2} + 25766 T^{4} - 2101752 T^{6} + 132425201 T^{8} - 6784185928 T^{10} + 290786240918 T^{12} - 10599475438788 T^{14} + 331431007100868 T^{16} - 8914158844020708 T^{18} + 205667583262723958 T^{20} - 4035392003974426888 T^{22} + 66245231785889430161 T^{24} - \)\(88\!\cdots\!52\)\( T^{26} + \)\(91\!\cdots\!06\)\( T^{28} - \)\(65\!\cdots\!20\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 220 T^{2} + 25766 T^{4} - 2101752 T^{6} + 132425201 T^{8} - 6784185928 T^{10} + 290786240918 T^{12} - 10599475438788 T^{14} + 331431007100868 T^{16} - 8914158844020708 T^{18} + 205667583262723958 T^{20} - 4035392003974426888 T^{22} + 66245231785889430161 T^{24} - \)\(88\!\cdots\!52\)\( T^{26} + \)\(91\!\cdots\!06\)\( T^{28} - \)\(65\!\cdots\!20\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 196 T^{2} + 17650 T^{4} - 953200 T^{6} + 33744235 T^{8} - 801641200 T^{10} + 12483509650 T^{12} - 116585370916 T^{14} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( 1 - 12 T + 88 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 88 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 54 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 - 9 T^{2} - 128 T^{3} - 279 T^{4} + 29791 T^{6} \))(\( 1 - 9 T^{2} - 128 T^{3} - 279 T^{4} + 29791 T^{6} \))(\( ( 1 + 110 T^{2} + 176 T^{3} + 6097 T^{4} + 12072 T^{5} + 229832 T^{6} + 374232 T^{7} + 5859217 T^{8} + 5243216 T^{9} + 101587310 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 110 T^{2} + 176 T^{3} + 6097 T^{4} + 12072 T^{5} + 229832 T^{6} + 374232 T^{7} + 5859217 T^{8} + 5243216 T^{9} + 101587310 T^{10} + 887503681 T^{12} )^{2} \))(\( 1 - 136 T^{2} + 8512 T^{4} - 342376 T^{6} + 11129758 T^{8} - 329023336 T^{10} + 7861010752 T^{12} - 120700500616 T^{14} + 852891037441 T^{16} \))(\( ( 1 - 48 T^{2} + 1154 T^{4} - 46128 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 6 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 + 18 T^{2} + 961 T^{4} )^{4} \))(\( 1 - 136 T^{2} + 8512 T^{4} - 342376 T^{6} + 11129758 T^{8} - 329023336 T^{10} + 7861010752 T^{12} - 120700500616 T^{14} + 852891037441 T^{16} \))(\( ( 1 + 20 T^{2} + 518 T^{4} + 13140 T^{6} + 1290050 T^{8} + 12627540 T^{10} + 478383878 T^{12} + 17750073620 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 156 T^{2} + 12630 T^{4} - 662044 T^{6} + 24293346 T^{8} - 636224284 T^{10} + 11664070230 T^{12} - 138450574236 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 6 T + 5 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 22 T^{2} - 272 T^{3} - 1421 T^{4} - 8432 T^{5} + 21142 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 + 4 T + 22 T^{2} - 272 T^{3} - 1421 T^{4} - 8432 T^{5} + 21142 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 - 6 T - 9 T^{2} + 90 T^{3} - 450 T^{4} + 2874 T^{5} - 5389 T^{6} + 89094 T^{7} - 432450 T^{8} + 2681190 T^{9} - 8311689 T^{10} - 171774906 T^{11} + 887503681 T^{12} \))(\( 1 + 6 T + 39 T^{2} + 262 T^{3} + 942 T^{4} + 7302 T^{5} + 44307 T^{6} + 226362 T^{7} + 905262 T^{8} + 7805242 T^{9} + 36017319 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 - 12 T + 156 T^{2} - 1296 T^{3} + 11254 T^{4} - 84084 T^{5} + 570528 T^{6} - 3614628 T^{7} + 20158851 T^{8} - 112053468 T^{9} + 548277408 T^{10} - 2504946444 T^{11} + 10393305334 T^{12} - 37103379696 T^{13} + 138450574236 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} \))(\( ( 1 + 12 T + 98 T^{2} + 600 T^{3} + 3027 T^{4} + 18600 T^{5} + 94178 T^{6} + 357492 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 12 T + 156 T^{2} - 1296 T^{3} + 11254 T^{4} - 84084 T^{5} + 570528 T^{6} - 3614628 T^{7} + 20158851 T^{8} - 112053468 T^{9} + 548277408 T^{10} - 2504946444 T^{11} + 10393305334 T^{12} - 37103379696 T^{13} + 138450574236 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} \))(\( 1 - 6 T + 211 T^{2} - 1194 T^{3} + 23451 T^{4} - 122748 T^{5} + 1782572 T^{6} - 8647176 T^{7} + 103630655 T^{8} - 469064958 T^{9} + 4922296683 T^{10} - 20969566134 T^{11} + 199997869402 T^{12} - 808826403210 T^{13} + 7187956918807 T^{14} - 27748250298954 T^{15} + 233495470937700 T^{16} - 860195759267574 T^{17} + 6907626598973527 T^{18} - 24095747378029110 T^{19} + 184702232348004442 T^{20} - 600340875254772234 T^{21} + 4368556425136590123 T^{22} - 12905203182446422338 T^{23} + 88385656853640353855 T^{24} - \)\(22\!\cdots\!96\)\( T^{25} + \)\(14\!\cdots\!72\)\( T^{26} - \)\(31\!\cdots\!88\)\( T^{27} + \)\(18\!\cdots\!11\)\( T^{28} - \)\(29\!\cdots\!54\)\( T^{29} + \)\(15\!\cdots\!31\)\( T^{30} - \)\(14\!\cdots\!06\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 6 T + 211 T^{2} - 1194 T^{3} + 23451 T^{4} - 122748 T^{5} + 1782572 T^{6} - 8647176 T^{7} + 103630655 T^{8} - 469064958 T^{9} + 4922296683 T^{10} - 20969566134 T^{11} + 199997869402 T^{12} - 808826403210 T^{13} + 7187956918807 T^{14} - 27748250298954 T^{15} + 233495470937700 T^{16} - 860195759267574 T^{17} + 6907626598973527 T^{18} - 24095747378029110 T^{19} + 184702232348004442 T^{20} - 600340875254772234 T^{21} + 4368556425136590123 T^{22} - 12905203182446422338 T^{23} + 88385656853640353855 T^{24} - \)\(22\!\cdots\!96\)\( T^{25} + \)\(14\!\cdots\!72\)\( T^{26} - \)\(31\!\cdots\!88\)\( T^{27} + \)\(18\!\cdots\!11\)\( T^{28} - \)\(29\!\cdots\!54\)\( T^{29} + \)\(15\!\cdots\!31\)\( T^{30} - \)\(14\!\cdots\!06\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 6 T + 60 T^{2} + 288 T^{3} + 1654 T^{4} + 2958 T^{5} - 45048 T^{6} - 281862 T^{7} - 2543793 T^{8} - 8737722 T^{9} - 43291128 T^{10} + 88121778 T^{11} + 1527503734 T^{12} + 8245195488 T^{13} + 53250220860 T^{14} + 165075684666 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 10 T + 99 T^{2} - 588 T^{3} + 3663 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 99 T^{2} - 588 T^{3} + 3663 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( ( 1 - 12 T + 186 T^{2} - 1612 T^{3} + 14903 T^{4} - 103768 T^{5} + 705548 T^{6} - 3839416 T^{7} + 20402207 T^{8} - 81652636 T^{9} + 348593946 T^{10} - 832127484 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 12 T + 186 T^{2} - 1612 T^{3} + 14903 T^{4} - 103768 T^{5} + 705548 T^{6} - 3839416 T^{7} + 20402207 T^{8} - 81652636 T^{9} + 348593946 T^{10} - 832127484 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 8 T + 84 T^{2} - 440 T^{3} + 3910 T^{4} - 16280 T^{5} + 114996 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 2 T + 54 T^{2} + 74 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 10 T + 37 T^{2} )^{8} \))(\( ( 1 - 2 T + 37 T^{2} )^{8} \))(\( ( 1 - 8 T + 84 T^{2} - 440 T^{3} + 3910 T^{4} - 16280 T^{5} + 114996 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 4 T + 96 T^{2} + 316 T^{3} + 4910 T^{4} + 11692 T^{5} + 131424 T^{6} + 202612 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 4 T + 72 T^{2} + 220 T^{3} + 3038 T^{4} + 8140 T^{5} + 98568 T^{6} + 202612 T^{7} + 1874161 T^{8} )^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 27 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 12 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 27 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 27 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 27 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 6 T^{2} - 128 T^{3} - 373 T^{4} - 4736 T^{5} + 8214 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T + 2 T^{2} + 96 T^{3} + 107 T^{4} + 3552 T^{5} + 2738 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 2 T - 64 T^{2} - 12 T^{3} + 3107 T^{4} - 444 T^{5} - 87616 T^{6} + 101306 T^{7} + 1874161 T^{8} \))(\( 1 - 16 T + 120 T^{2} - 992 T^{3} + 7655 T^{4} - 36704 T^{5} + 164280 T^{6} - 810448 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 6 T^{2} - 128 T^{3} - 373 T^{4} - 4736 T^{5} + 8214 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 21 T + 198 T^{2} + 1539 T^{3} + 12636 T^{4} + 84153 T^{5} + 488288 T^{6} + 3113661 T^{7} + 17298684 T^{8} + 77954967 T^{9} + 371083878 T^{10} + 1456223097 T^{11} + 2565726409 T^{12} \))(\( 1 + 9 T - 18 T^{2} - 113 T^{3} + 1620 T^{4} - 3915 T^{5} - 120216 T^{6} - 144855 T^{7} + 2217780 T^{8} - 5723789 T^{9} - 33734898 T^{10} + 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 - 12 T + 60 T^{2} - 312 T^{3} + 1798 T^{4} - 16140 T^{5} + 105696 T^{6} - 201156 T^{7} - 255885 T^{8} - 7442772 T^{9} + 144697824 T^{10} - 817539420 T^{11} + 3369741478 T^{12} - 21635314584 T^{13} + 153943584540 T^{14} - 1139182525596 T^{15} + 3512479453921 T^{16} \))(\( ( 1 + 2 T - 53 T^{2} - 34 T^{3} + 1732 T^{4} - 1258 T^{5} - 72557 T^{6} + 101306 T^{7} + 1874161 T^{8} )^{2} \))(\( 1 - 12 T + 60 T^{2} - 312 T^{3} + 1798 T^{4} - 16140 T^{5} + 105696 T^{6} - 201156 T^{7} - 255885 T^{8} - 7442772 T^{9} + 144697824 T^{10} - 817539420 T^{11} + 3369741478 T^{12} - 21635314584 T^{13} + 153943584540 T^{14} - 1139182525596 T^{15} + 3512479453921 T^{16} \))(\( 1 - 14 T - 33 T^{2} + 1046 T^{3} + 1691 T^{4} - 53864 T^{5} - 86468 T^{6} + 2173700 T^{7} + 1235255 T^{8} - 65091530 T^{9} + 206049191 T^{10} + 759360790 T^{11} - 14671742086 T^{12} - 8090317954 T^{13} + 879590831371 T^{14} + 160835179910 T^{15} - 39314877822420 T^{16} + 5950901656670 T^{17} + 1204159848146899 T^{18} - 409798875323962 T^{19} - 27497206819639846 T^{20} + 52657081969246030 T^{21} + 528665850901785119 T^{22} - 6179261128358983490 T^{23} + 4338807807853184855 T^{24} + \)\(28\!\cdots\!00\)\( T^{25} - \)\(41\!\cdots\!32\)\( T^{26} - \)\(95\!\cdots\!32\)\( T^{27} + \)\(11\!\cdots\!71\)\( T^{28} + \)\(25\!\cdots\!62\)\( T^{29} - \)\(29\!\cdots\!37\)\( T^{30} - \)\(46\!\cdots\!02\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 14 T - 33 T^{2} + 1046 T^{3} + 1691 T^{4} - 53864 T^{5} - 86468 T^{6} + 2173700 T^{7} + 1235255 T^{8} - 65091530 T^{9} + 206049191 T^{10} + 759360790 T^{11} - 14671742086 T^{12} - 8090317954 T^{13} + 879590831371 T^{14} + 160835179910 T^{15} - 39314877822420 T^{16} + 5950901656670 T^{17} + 1204159848146899 T^{18} - 409798875323962 T^{19} - 27497206819639846 T^{20} + 52657081969246030 T^{21} + 528665850901785119 T^{22} - 6179261128358983490 T^{23} + 4338807807853184855 T^{24} + \)\(28\!\cdots\!00\)\( T^{25} - \)\(41\!\cdots\!32\)\( T^{26} - \)\(95\!\cdots\!32\)\( T^{27} + \)\(11\!\cdots\!71\)\( T^{28} + \)\(25\!\cdots\!62\)\( T^{29} - \)\(29\!\cdots\!37\)\( T^{30} - \)\(46\!\cdots\!02\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( ( 1 + 8 T - 96 T^{2} - 500 T^{3} + 9380 T^{4} + 29730 T^{5} - 489260 T^{6} - 281056 T^{7} + 23065323 T^{8} - 10399072 T^{9} - 669796940 T^{10} + 1505913690 T^{11} + 17579630180 T^{12} - 34671978500 T^{13} - 246309735264 T^{14} + 759455017064 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 + 4 T + 66 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 88 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 + 8 T + 88 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 + 70 T^{2} + 1681 T^{4} \))(\( 1 - 2 T + 113 T^{2} - 152 T^{3} + 4633 T^{4} - 3362 T^{5} + 68921 T^{6} \))(\( 1 + 2 T + 113 T^{2} + 152 T^{3} + 4633 T^{4} + 3362 T^{5} + 68921 T^{6} \))(\( ( 1 + 8 T + 170 T^{2} + 1016 T^{3} + 11857 T^{4} + 58280 T^{5} + 538520 T^{6} + 2389480 T^{7} + 19931617 T^{8} + 70023736 T^{9} + 480379370 T^{10} + 926849608 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 - 8 T + 170 T^{2} - 1016 T^{3} + 11857 T^{4} - 58280 T^{5} + 538520 T^{6} - 2389480 T^{7} + 19931617 T^{8} - 70023736 T^{9} + 480379370 T^{10} - 926849608 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 10 T + 142 T^{2} + 846 T^{3} + 7626 T^{4} + 34686 T^{5} + 238702 T^{6} + 689210 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 40 T^{2} + 2418 T^{4} + 67240 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 26 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 2 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 10 T + 142 T^{2} - 846 T^{3} + 7626 T^{4} - 34686 T^{5} + 238702 T^{6} - 689210 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 196 T^{2} + 17750 T^{4} + 1029876 T^{6} + 46163170 T^{8} + 1731221556 T^{10} + 50157257750 T^{12} + 931020431236 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 212 T^{2} + 20550 T^{4} + 1257668 T^{6} + 57610946 T^{8} + 2114139908 T^{10} + 58069388550 T^{12} + 1007022099092 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 9 T + 41 T^{2} )^{2} \))(\( ( 1 - 3 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 5 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 + 7 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 9 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 51 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 41 T^{2} )^{4} \))(\( ( 1 + 6 T + 28 T^{2} + 246 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 8 T + 96 T^{2} - 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 51 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 12 T + 96 T^{2} + 678 T^{3} + 3936 T^{4} + 20172 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 12 T + 144 T^{2} + 902 T^{3} + 5904 T^{4} + 20172 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 8 T + 118 T^{2} + 736 T^{3} + 6891 T^{4} + 30176 T^{5} + 198358 T^{6} + 551368 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 92 T^{2} + 4326 T^{4} + 154652 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 8 T + 118 T^{2} - 736 T^{3} + 6891 T^{4} - 30176 T^{5} + 198358 T^{6} - 551368 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 16 T + 330 T^{2} + 3640 T^{3} + 42745 T^{4} + 362832 T^{5} + 3123194 T^{6} + 21761352 T^{7} + 152229812 T^{8} + 892215432 T^{9} + 5250089114 T^{10} + 25006744272 T^{11} + 120787153945 T^{12} + 421716571640 T^{13} + 1567534399530 T^{14} + 3116068382096 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 16 T + 330 T^{2} - 3640 T^{3} + 42745 T^{4} - 362832 T^{5} + 3123194 T^{6} - 21761352 T^{7} + 152229812 T^{8} - 892215432 T^{9} + 5250089114 T^{10} - 25006744272 T^{11} + 120787153945 T^{12} - 421716571640 T^{13} + 1567534399530 T^{14} - 3116068382096 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 128 T^{2} + 10456 T^{4} + 593396 T^{6} + 27172090 T^{8} + 997498676 T^{10} + 29546157016 T^{12} + 608013342848 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 12 T + 102 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 + 46 T^{2} + 1849 T^{4} \))(\( 1 + 46 T^{2} + 1849 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 - 14 T + 73 T^{2} - 228 T^{3} + 3139 T^{4} - 25886 T^{5} + 79507 T^{6} \))(\( 1 - 14 T + 73 T^{2} - 228 T^{3} + 3139 T^{4} - 25886 T^{5} + 79507 T^{6} \))(\( 1 - 304 T^{2} + 45438 T^{4} - 4503760 T^{6} + 334179215 T^{8} - 19640799360 T^{10} + 935526889796 T^{12} - 36315838016640 T^{14} + 1142492234421215 T^{16} - 28469902045564240 T^{18} + 531088444213634238 T^{20} - 6569890623238411696 T^{22} + 39959630797262576401 T^{24} \))(\( 1 - 304 T^{2} + 45438 T^{4} - 4503760 T^{6} + 334179215 T^{8} - 19640799360 T^{10} + 935526889796 T^{12} - 36315838016640 T^{14} + 1142492234421215 T^{16} - 28469902045564240 T^{18} + 531088444213634238 T^{20} - 6569890623238411696 T^{22} + 39959630797262576401 T^{24} \))(\( 1 - 200 T^{2} + 19068 T^{4} - 1180344 T^{6} + 56035302 T^{8} - 2182456056 T^{10} + 65189697468 T^{12} - 1264272609800 T^{14} + 11688200277601 T^{16} \))(\( ( 1 + 4 T^{2} + 2358 T^{4} + 7396 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{4}( 1 + 12 T + 43 T^{2} )^{4} \))(\( ( 1 - 46 T^{2} + 1849 T^{4} )^{4} \))(\( 1 - 200 T^{2} + 19068 T^{4} - 1180344 T^{6} + 56035302 T^{8} - 2182456056 T^{10} + 65189697468 T^{12} - 1264272609800 T^{14} + 11688200277601 T^{16} \))(\( ( 1 - 12 T + 198 T^{2} - 1484 T^{3} + 13314 T^{4} - 63812 T^{5} + 366102 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 20 T + 182 T^{2} + 900 T^{3} + 4162 T^{4} + 38700 T^{5} + 336518 T^{6} + 1590140 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 78 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 8 T + 74 T^{2} - 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( ( 1 + 54 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 78 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 3 T - 3 T^{2} + 146 T^{3} - 129 T^{4} - 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 9 T + 117 T^{2} - 610 T^{3} + 5031 T^{4} - 16641 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 16 T + 120 T^{2} + 560 T^{3} + 2978 T^{4} + 24080 T^{5} + 221880 T^{6} + 1272112 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{8} \))(\( ( 1 + 16 T + 120 T^{2} + 560 T^{3} + 2978 T^{4} + 24080 T^{5} + 221880 T^{6} + 1272112 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 - 370 T^{2} + 69205 T^{4} - 8714850 T^{6} + 829915302 T^{8} - 63533346462 T^{10} + 4048663635627 T^{12} - 219017168933710 T^{14} + 10156745084830162 T^{16} - 404962745358429790 T^{18} + 13841575286145223227 T^{20} - \)\(40\!\cdots\!38\)\( T^{22} + \)\(97\!\cdots\!02\)\( T^{24} - \)\(18\!\cdots\!50\)\( T^{26} + \)\(27\!\cdots\!05\)\( T^{28} - \)\(27\!\cdots\!30\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 370 T^{2} + 69205 T^{4} - 8714850 T^{6} + 829915302 T^{8} - 63533346462 T^{10} + 4048663635627 T^{12} - 219017168933710 T^{14} + 10156745084830162 T^{16} - 404962745358429790 T^{18} + 13841575286145223227 T^{20} - \)\(40\!\cdots\!38\)\( T^{22} + \)\(97\!\cdots\!02\)\( T^{24} - \)\(18\!\cdots\!50\)\( T^{26} + \)\(27\!\cdots\!05\)\( T^{28} - \)\(27\!\cdots\!30\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( ( 1 - 100 T^{2} + 8356 T^{4} - 517756 T^{6} + 23891542 T^{8} - 957330844 T^{10} + 28567501156 T^{12} - 632136304900 T^{14} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 4 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( ( 1 - 2 T + 47 T^{2} )^{2} \))(\( 1 + 4 T + 8 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 118 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 10 T + 103 T^{2} - 544 T^{3} + 4841 T^{4} - 22090 T^{5} + 103823 T^{6} \))(\( 1 + 10 T + 103 T^{2} + 544 T^{3} + 4841 T^{4} + 22090 T^{5} + 103823 T^{6} \))(\( 1 - 208 T^{2} + 23730 T^{4} - 1736992 T^{6} + 92911907 T^{8} - 3970546224 T^{10} + 173007979940 T^{12} - 8770936608816 T^{14} + 453380467261667 T^{16} - 18723410792750368 T^{18} + 565041832483588530 T^{20} - 10940619505052650192 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 208 T^{2} + 23730 T^{4} - 1736992 T^{6} + 92911907 T^{8} - 3970546224 T^{10} + 173007979940 T^{12} - 8770936608816 T^{14} + 453380467261667 T^{16} - 18723410792750368 T^{18} + 565041832483588530 T^{20} - 10940619505052650192 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 148 T^{2} + 14428 T^{4} - 1007804 T^{6} + 53470902 T^{8} - 2226239036 T^{10} + 70404037468 T^{12} - 1595323868692 T^{14} + 23811286661761 T^{16} \))(\( ( 1 - 64 T^{2} + 4098 T^{4} - 141376 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 86 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 - 44 T^{2} + 2209 T^{4} )^{4} \))(\( 1 - 148 T^{2} + 14428 T^{4} - 1007804 T^{6} + 53470902 T^{8} - 2226239036 T^{10} + 70404037468 T^{12} - 1595323868692 T^{14} + 23811286661761 T^{16} \))(\( ( 1 + 180 T^{2} + 14054 T^{4} + 721620 T^{6} + 33358914 T^{8} + 1594058580 T^{10} + 68579036774 T^{12} + 1940258759220 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 236 T^{2} + 27318 T^{4} + 2044556 T^{6} + 110968226 T^{8} + 4516424204 T^{10} + 133303125558 T^{12} + 2543894817644 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + T - 46 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( 1 - T - 46 T^{2} - 47 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 2 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 - 7 T + 2 T^{2} - 329 T^{3} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 2 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 - 7 T + 2 T^{2} - 329 T^{3} + 2209 T^{4} \))(\( 1 + T - 46 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 10 T - T^{2} - 70 T^{3} + 3292 T^{4} - 3290 T^{5} - 2209 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 17 T^{2} + 376 T^{3} - 3008 T^{4} + 17672 T^{5} + 37553 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 126 T^{2} - 576 T^{3} + 2659 T^{4} - 27072 T^{5} + 278334 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T - 10 T^{2} - 272 T^{3} - 2285 T^{4} - 12784 T^{5} - 22090 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T - T^{2} + 70 T^{3} + 3292 T^{4} + 3290 T^{5} - 2209 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 3 T - 105 T^{2} + 204 T^{3} + 6819 T^{4} - 5601 T^{5} - 348518 T^{6} - 263247 T^{7} + 15063171 T^{8} + 21179892 T^{9} - 512366505 T^{10} - 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 15 T + 33 T^{2} + 98 T^{3} + 6975 T^{4} + 29487 T^{5} - 87106 T^{6} + 1385889 T^{7} + 15407775 T^{8} + 10174654 T^{9} + 161029473 T^{10} + 3440175105 T^{11} + 10779215329 T^{12} \))(\( 1 - 112 T^{2} + 6313 T^{4} - 203056 T^{6} + 6235984 T^{8} - 448550704 T^{10} + 30805426153 T^{12} - 1207272116848 T^{14} + 23811286661761 T^{16} \))(\( 1 - 122 T^{2} + 7393 T^{4} - 374906 T^{6} + 18356644 T^{8} - 828167354 T^{10} + 36075481633 T^{12} - 1315064270138 T^{14} + 23811286661761 T^{16} \))(\( 1 - 112 T^{2} + 6313 T^{4} - 203056 T^{6} + 6235984 T^{8} - 448550704 T^{10} + 30805426153 T^{12} - 1207272116848 T^{14} + 23811286661761 T^{16} \))(\( 1 - 24 T + 319 T^{2} - 3048 T^{3} + 23178 T^{4} - 148668 T^{5} + 513441 T^{6} + 2932224 T^{7} - 69320617 T^{8} + 712534932 T^{9} - 5366273204 T^{10} + 34042967316 T^{11} - 142354134896 T^{12} - 52571251464 T^{13} + 7563961844008 T^{14} - 83457296949492 T^{15} + 624119873811908 T^{16} - 3922492956626124 T^{17} + 16708791713413672 T^{18} - 5458105040746872 T^{19} - 694642767323448176 T^{20} + 7807584577388791212 T^{21} - 57844214380158744116 T^{22} + \)\(36\!\cdots\!16\)\( T^{23} - \)\(16\!\cdots\!37\)\( T^{24} + \)\(32\!\cdots\!08\)\( T^{25} + \)\(27\!\cdots\!09\)\( T^{26} - \)\(36\!\cdots\!04\)\( T^{27} + \)\(26\!\cdots\!98\)\( T^{28} - \)\(16\!\cdots\!96\)\( T^{29} + \)\(81\!\cdots\!11\)\( T^{30} - \)\(28\!\cdots\!32\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 24 T + 319 T^{2} - 3048 T^{3} + 23178 T^{4} - 148668 T^{5} + 513441 T^{6} + 2932224 T^{7} - 69320617 T^{8} + 712534932 T^{9} - 5366273204 T^{10} + 34042967316 T^{11} - 142354134896 T^{12} - 52571251464 T^{13} + 7563961844008 T^{14} - 83457296949492 T^{15} + 624119873811908 T^{16} - 3922492956626124 T^{17} + 16708791713413672 T^{18} - 5458105040746872 T^{19} - 694642767323448176 T^{20} + 7807584577388791212 T^{21} - 57844214380158744116 T^{22} + \)\(36\!\cdots\!16\)\( T^{23} - \)\(16\!\cdots\!37\)\( T^{24} + \)\(32\!\cdots\!08\)\( T^{25} + \)\(27\!\cdots\!09\)\( T^{26} - \)\(36\!\cdots\!04\)\( T^{27} + \)\(26\!\cdots\!98\)\( T^{28} - \)\(16\!\cdots\!96\)\( T^{29} + \)\(81\!\cdots\!11\)\( T^{30} - \)\(28\!\cdots\!32\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 12 T + 220 T^{2} + 2064 T^{3} + 23770 T^{4} + 187500 T^{5} + 1740112 T^{6} + 11915748 T^{7} + 94622851 T^{8} + 560040156 T^{9} + 3843907408 T^{10} + 19466812500 T^{11} + 115990017370 T^{12} + 473368094448 T^{13} + 2371427372380 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16} )^{2} \))
$53$ (\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 8 T + 102 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 179 T^{2} + 1412 T^{3} + 9487 T^{4} + 39326 T^{5} + 148877 T^{6} \))(\( 1 - 14 T + 179 T^{2} - 1412 T^{3} + 9487 T^{4} - 39326 T^{5} + 148877 T^{6} \))(\( 1 - 284 T^{2} + 38962 T^{4} - 3563596 T^{6} + 254435519 T^{8} - 15581164472 T^{10} + 861609176572 T^{12} - 43767491001848 T^{14} + 2007618628394639 T^{16} - 78984828661859884 T^{18} + 2425762057807447282 T^{20} - 49668041583805705916 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 284 T^{2} + 38962 T^{4} - 3563596 T^{6} + 254435519 T^{8} - 15581164472 T^{10} + 861609176572 T^{12} - 43767491001848 T^{14} + 2007618628394639 T^{16} - 78984828661859884 T^{18} + 2425762057807447282 T^{20} - 49668041583805705916 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 30 T^{2} + 64 T^{3} - 1926 T^{4} + 3392 T^{5} + 84270 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 14 T + 134 T^{2} - 742 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 - 6 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 + 96 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 + 30 T^{2} + 64 T^{3} - 1926 T^{4} + 3392 T^{5} + 84270 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 164 T^{2} + 18488 T^{4} - 1378668 T^{6} + 84038222 T^{8} - 3872678412 T^{10} + 145879212728 T^{12} - 3634955225156 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 140 T^{2} + 14696 T^{4} - 1012164 T^{6} + 62083310 T^{8} - 2843168676 T^{10} + 115958508776 T^{12} - 3103010558060 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 + 12 T + 91 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 91 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 4 T - 37 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 91 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 16 T + 94 T^{2} - 896 T^{3} + 9867 T^{4} - 47488 T^{5} + 264046 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} )^{2} \))(\( 1 + 2 T - 96 T^{2} - 12 T^{3} + 6979 T^{4} - 636 T^{5} - 269664 T^{6} + 297754 T^{7} + 7890481 T^{8} \))(\( 1 + 4 T + 4 T^{2} - 376 T^{3} - 3513 T^{4} - 19928 T^{5} + 11236 T^{6} + 595508 T^{7} + 7890481 T^{8} \))(\( 1 + 16 T + 94 T^{2} + 896 T^{3} + 9867 T^{4} + 47488 T^{5} + 264046 T^{6} + 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 - 8 T + 11 T^{2} - 424 T^{3} + 2809 T^{4} )^{3} \))(\( 1 - 123 T^{2} - 64 T^{3} + 8610 T^{4} + 3936 T^{5} - 503059 T^{6} + 208608 T^{7} + 24185490 T^{8} - 9528128 T^{9} - 970529163 T^{10} + 22164361129 T^{12} \))(\( 1 + 48 T + 1224 T^{2} + 21888 T^{3} + 307006 T^{4} + 3578640 T^{5} + 35805312 T^{6} + 313299312 T^{7} + 2422296723 T^{8} + 16604863536 T^{9} + 100577121408 T^{10} + 532777187280 T^{11} + 2422425009886 T^{12} + 9153462950784 T^{13} + 27129178021896 T^{14} + 56386134712176 T^{15} + 62259690411361 T^{16} \))(\( ( 1 + 53 T^{2} + 2809 T^{4} )^{4} \))(\( 1 - 48 T + 1224 T^{2} - 21888 T^{3} + 307006 T^{4} - 3578640 T^{5} + 35805312 T^{6} - 313299312 T^{7} + 2422296723 T^{8} - 16604863536 T^{9} + 100577121408 T^{10} - 532777187280 T^{11} + 2422425009886 T^{12} - 9153462950784 T^{13} + 27129178021896 T^{14} - 56386134712176 T^{15} + 62259690411361 T^{16} \))(\( 1 - 189 T^{2} + 232 T^{3} + 17439 T^{4} - 43888 T^{5} - 854100 T^{6} + 3942720 T^{7} + 12368239 T^{8} - 287201456 T^{9} + 1198176951 T^{10} + 19075388376 T^{11} - 112969340570 T^{12} - 1015766984472 T^{13} + 6717800645927 T^{14} + 24348070253360 T^{15} - 355137904117416 T^{16} + 1290447723428080 T^{17} + 18870302014408943 T^{18} - 151224341347237944 T^{19} - 891382435350114170 T^{20} + 7977241446067789368 T^{21} + 26556826638408137679 T^{22} - \)\(33\!\cdots\!72\)\( T^{23} + \)\(77\!\cdots\!79\)\( T^{24} + \)\(13\!\cdots\!60\)\( T^{25} - \)\(14\!\cdots\!00\)\( T^{26} - \)\(40\!\cdots\!36\)\( T^{27} + \)\(85\!\cdots\!99\)\( T^{28} + \)\(60\!\cdots\!36\)\( T^{29} - \)\(26\!\cdots\!41\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 189 T^{2} + 232 T^{3} + 17439 T^{4} - 43888 T^{5} - 854100 T^{6} + 3942720 T^{7} + 12368239 T^{8} - 287201456 T^{9} + 1198176951 T^{10} + 19075388376 T^{11} - 112969340570 T^{12} - 1015766984472 T^{13} + 6717800645927 T^{14} + 24348070253360 T^{15} - 355137904117416 T^{16} + 1290447723428080 T^{17} + 18870302014408943 T^{18} - 151224341347237944 T^{19} - 891382435350114170 T^{20} + 7977241446067789368 T^{21} + 26556826638408137679 T^{22} - \)\(33\!\cdots\!72\)\( T^{23} + \)\(77\!\cdots\!79\)\( T^{24} + \)\(13\!\cdots\!60\)\( T^{25} - \)\(14\!\cdots\!00\)\( T^{26} - \)\(40\!\cdots\!36\)\( T^{27} + \)\(85\!\cdots\!99\)\( T^{28} + \)\(60\!\cdots\!36\)\( T^{29} - \)\(26\!\cdots\!41\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 14 T - 40 T^{2} + 504 T^{3} + 10724 T^{4} - 37408 T^{5} - 784280 T^{6} + 1391586 T^{7} + 37358647 T^{8} + 73754058 T^{9} - 2203042520 T^{10} - 5569190816 T^{11} + 84617518244 T^{12} + 210770528472 T^{13} - 886574445160 T^{14} - 16445955957718 T^{15} + 62259690411361 T^{16} )^{2} \))
$59$ (\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 10 T + 138 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 142 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 142 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 + 70 T^{2} + 3481 T^{4} \))(\( 1 - 8 T + 41 T^{2} + 208 T^{3} + 2419 T^{4} - 27848 T^{5} + 205379 T^{6} \))(\( 1 + 8 T + 41 T^{2} - 208 T^{3} + 2419 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 - 356 T^{2} + 63410 T^{4} - 7697076 T^{6} + 726421631 T^{8} - 56364788040 T^{10} + 3643614187516 T^{12} - 196205827167240 T^{14} + 8802313141035791 T^{16} - 324666773155333716 T^{18} + 9310518048489994610 T^{20} - \)\(18\!\cdots\!56\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 356 T^{2} + 63410 T^{4} - 7697076 T^{6} + 726421631 T^{8} - 56364788040 T^{10} + 3643614187516 T^{12} - 196205827167240 T^{14} + 8802313141035791 T^{16} - 324666773155333716 T^{18} + 9310518048489994610 T^{20} - \)\(18\!\cdots\!56\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 200 T^{2} + 27100 T^{4} - 2422584 T^{6} + 167055526 T^{8} - 8433014904 T^{10} + 328380483100 T^{12} - 8436106728200 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 226 T^{2} + 19710 T^{4} - 786706 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 110 T^{2} + 3481 T^{4} )^{4} \))(\( 1 - 200 T^{2} + 27100 T^{4} - 2422584 T^{6} + 167055526 T^{8} - 8433014904 T^{10} + 328380483100 T^{12} - 8436106728200 T^{14} + 146830437604321 T^{16} \))(\( ( 1 + 376 T^{2} + 65372 T^{4} + 6923400 T^{6} + 492070054 T^{8} + 24100355400 T^{10} + 792136123292 T^{12} + 15859880649016 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 56 T^{2} + 7644 T^{4} + 345032 T^{6} + 26980262 T^{8} + 1201056392 T^{10} + 92625107484 T^{12} + 2362109883896 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 7 T - 10 T^{2} - 413 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 + 11 T + 62 T^{2} + 649 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 11 T + 62 T^{2} - 649 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 74 T^{2} - 112 T^{3} + 3675 T^{4} - 6608 T^{5} - 257594 T^{6} + 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T + 42 T^{2} - 768 T^{3} - 6773 T^{4} - 45312 T^{5} + 146202 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T - 99 T^{2} + 12 T^{3} + 8800 T^{4} + 708 T^{5} - 344619 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 14 T + 31 T^{2} + 658 T^{3} + 12180 T^{4} + 38822 T^{5} + 107911 T^{6} + 2875306 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T - 74 T^{2} + 112 T^{3} + 3675 T^{4} + 6608 T^{5} - 257594 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 9 T - 48 T^{2} - 867 T^{3} - 96 T^{4} + 25137 T^{5} + 175174 T^{6} + 1483083 T^{7} - 334176 T^{8} - 178063593 T^{9} - 581633328 T^{10} + 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T - 141 T^{3} - 864 T^{4} + 30879 T^{5} - 171866 T^{6} + 1821861 T^{7} - 3007584 T^{8} - 28958439 T^{9} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 + 16 T - 48 T^{2} - 864 T^{3} + 17774 T^{4} + 117456 T^{5} - 1145344 T^{6} + 14992 T^{7} + 117866451 T^{8} + 884528 T^{9} - 3986942464 T^{10} + 24122995824 T^{11} + 215373974414 T^{12} - 617694594336 T^{13} - 2024665614768 T^{14} + 39818423757104 T^{15} + 146830437604321 T^{16} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2}( 1 - 10 T^{2} - 3381 T^{4} - 34810 T^{6} + 12117361 T^{8} ) \))(\( 1 - 16 T - 48 T^{2} + 864 T^{3} + 17774 T^{4} - 117456 T^{5} - 1145344 T^{6} - 14992 T^{7} + 117866451 T^{8} - 884528 T^{9} - 3986942464 T^{10} - 24122995824 T^{11} + 215373974414 T^{12} + 617694594336 T^{13} - 2024665614768 T^{14} - 39818423757104 T^{15} + 146830437604321 T^{16} \))(\( 1 + 206 T^{2} + 21291 T^{4} - 23424 T^{5} + 1254962 T^{6} - 4357248 T^{7} + 31229625 T^{8} - 402292608 T^{9} - 1442494564 T^{10} - 17256515712 T^{11} - 185711486594 T^{12} + 179381210496 T^{13} - 9893086439768 T^{14} + 73366314523008 T^{15} - 490118909154734 T^{16} + 4328612556857472 T^{17} - 34437833896832408 T^{18} + 36841133630457984 T^{19} - 2250333124906158434 T^{20} - 12337102398584085888 T^{21} - 60845190483761627524 T^{22} - \)\(10\!\cdots\!52\)\( T^{23} + \)\(45\!\cdots\!25\)\( T^{24} - \)\(37\!\cdots\!72\)\( T^{25} + \)\(64\!\cdots\!62\)\( T^{26} - \)\(70\!\cdots\!16\)\( T^{27} + \)\(37\!\cdots\!71\)\( T^{28} + \)\(12\!\cdots\!66\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 206 T^{2} + 21291 T^{4} - 23424 T^{5} + 1254962 T^{6} - 4357248 T^{7} + 31229625 T^{8} - 402292608 T^{9} - 1442494564 T^{10} - 17256515712 T^{11} - 185711486594 T^{12} + 179381210496 T^{13} - 9893086439768 T^{14} + 73366314523008 T^{15} - 490118909154734 T^{16} + 4328612556857472 T^{17} - 34437833896832408 T^{18} + 36841133630457984 T^{19} - 2250333124906158434 T^{20} - 12337102398584085888 T^{21} - 60845190483761627524 T^{22} - \)\(10\!\cdots\!52\)\( T^{23} + \)\(45\!\cdots\!25\)\( T^{24} - \)\(37\!\cdots\!72\)\( T^{25} + \)\(64\!\cdots\!62\)\( T^{26} - \)\(70\!\cdots\!16\)\( T^{27} + \)\(37\!\cdots\!71\)\( T^{28} + \)\(12\!\cdots\!66\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( ( 1 + 30 T + 538 T^{2} + 7140 T^{3} + 78637 T^{4} + 744282 T^{5} + 6314518 T^{6} + 50427036 T^{7} + 391144336 T^{8} + 2975195124 T^{9} + 21980837158 T^{10} + 152859892878 T^{11} + 952872916957 T^{12} + 5104559494860 T^{13} + 22693127098858 T^{14} + 74659544544570 T^{15} + 146830437604321 T^{16} )^{2} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 6 T + 126 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 - 8 T + 43 T^{2} + 192 T^{3} + 2623 T^{4} - 29768 T^{5} + 226981 T^{6} \))(\( 1 - 8 T + 43 T^{2} + 192 T^{3} + 2623 T^{4} - 29768 T^{5} + 226981 T^{6} \))(\( 1 - 520 T^{2} + 132302 T^{4} - 21722952 T^{6} + 2561207855 T^{8} - 228277659888 T^{10} + 15762618100900 T^{12} - 849421172443248 T^{14} + 35462076728281055 T^{16} - 1119174619266033672 T^{18} + 25363260924166270862 T^{20} - \)\(37\!\cdots\!20\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 520 T^{2} + 132302 T^{4} - 21722952 T^{6} + 2561207855 T^{8} - 228277659888 T^{10} + 15762618100900 T^{12} - 849421172443248 T^{14} + 35462076728281055 T^{16} - 1119174619266033672 T^{18} + 25363260924166270862 T^{20} - \)\(37\!\cdots\!20\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 28 T + 450 T^{2} + 5028 T^{3} + 44226 T^{4} + 306708 T^{5} + 1674450 T^{6} + 6355468 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 154 T^{2} + 11670 T^{4} + 573034 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 61 T^{2} )^{8} \))(\( ( 1 - 40 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 - 28 T + 450 T^{2} - 5028 T^{3} + 44226 T^{4} - 306708 T^{5} + 1674450 T^{6} - 6355468 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 40 T^{2} + 92 T^{4} - 287400 T^{6} - 11177114 T^{8} - 1069415400 T^{10} + 1273817372 T^{12} + 2060814974440 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 288 T^{2} + 36636 T^{4} - 2886112 T^{6} + 182583654 T^{8} - 10739222752 T^{10} + 507256230876 T^{12} - 14837867815968 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 5 T - 36 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 11 T + 60 T^{2} + 671 T^{3} + 3721 T^{4} \))(\( 1 + 6 T - 25 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 5 T - 36 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( 1 - 7 T - 12 T^{2} - 427 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 - 6 T - 93 T^{2} - 42 T^{3} + 10724 T^{4} - 2562 T^{5} - 346053 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T - 11 T^{2} - 376 T^{3} - 2000 T^{4} - 22936 T^{5} - 40931 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 18 T + 149 T^{2} + 954 T^{3} + 7140 T^{4} + 58194 T^{5} + 554429 T^{6} + 4085658 T^{7} + 13845841 T^{8} \))(\( 1 + 18 T + 129 T^{2} + 1314 T^{3} + 14540 T^{4} + 80154 T^{5} + 480009 T^{6} + 4085658 T^{7} + 13845841 T^{8} \))(\( 1 - 6 T - 93 T^{2} - 42 T^{3} + 10724 T^{4} - 2562 T^{5} - 346053 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 - 6 T - 84 T^{2} + 940 T^{3} + 2100 T^{4} - 34086 T^{5} + 130506 T^{6} - 2079246 T^{7} + 7814100 T^{8} + 213362140 T^{9} - 1163050644 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T - 18 T^{2} + 688 T^{3} - 3414 T^{4} - 10122 T^{5} + 398166 T^{6} - 617442 T^{7} - 12703494 T^{8} + 156162928 T^{9} - 249225138 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 64 T^{2} - 2487 T^{4} - 936 T^{5} - 22528 T^{6} - 2053896 T^{7} + 16228160 T^{8} - 125287656 T^{9} - 83826688 T^{10} - 212454216 T^{11} - 34434606567 T^{12} + 3297303959104 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 18 T + 169 T^{2} - 1098 T^{3} + 3721 T^{4} )^{4} \))(\( 1 + 64 T^{2} - 2487 T^{4} - 936 T^{5} - 22528 T^{6} - 2053896 T^{7} + 16228160 T^{8} - 125287656 T^{9} - 83826688 T^{10} - 212454216 T^{11} - 34434606567 T^{12} + 3297303959104 T^{14} + 191707312997281 T^{16} \))(\( 1 - 28 T + 132 T^{2} + 3320 T^{3} - 30797 T^{4} - 260388 T^{5} + 3451164 T^{6} + 15800648 T^{7} - 264155963 T^{8} - 1067754516 T^{9} + 18055205512 T^{10} + 72082988252 T^{11} - 1214227077978 T^{12} - 4021253438196 T^{13} + 85128658602288 T^{14} + 82671310258548 T^{15} - 5243239011871242 T^{16} + 5042949925771428 T^{17} + 316763738659113648 T^{18} - 912748126655166276 T^{19} - 16811995059577989498 T^{20} + 60881025242665655852 T^{21} + \)\(93\!\cdots\!32\)\( T^{22} - \)\(33\!\cdots\!36\)\( T^{23} - \)\(50\!\cdots\!03\)\( T^{24} + \)\(18\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!64\)\( T^{26} - \)\(11\!\cdots\!68\)\( T^{27} - \)\(81\!\cdots\!37\)\( T^{28} + \)\(53\!\cdots\!20\)\( T^{29} + \)\(13\!\cdots\!12\)\( T^{30} - \)\(16\!\cdots\!28\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 28 T + 132 T^{2} - 3320 T^{3} - 30797 T^{4} + 260388 T^{5} + 3451164 T^{6} - 15800648 T^{7} - 264155963 T^{8} + 1067754516 T^{9} + 18055205512 T^{10} - 72082988252 T^{11} - 1214227077978 T^{12} + 4021253438196 T^{13} + 85128658602288 T^{14} - 82671310258548 T^{15} - 5243239011871242 T^{16} - 5042949925771428 T^{17} + 316763738659113648 T^{18} + 912748126655166276 T^{19} - 16811995059577989498 T^{20} - 60881025242665655852 T^{21} + \)\(93\!\cdots\!32\)\( T^{22} + \)\(33\!\cdots\!36\)\( T^{23} - \)\(50\!\cdots\!03\)\( T^{24} - \)\(18\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!64\)\( T^{26} + \)\(11\!\cdots\!68\)\( T^{27} - \)\(81\!\cdots\!37\)\( T^{28} - \)\(53\!\cdots\!20\)\( T^{29} + \)\(13\!\cdots\!12\)\( T^{30} + \)\(16\!\cdots\!28\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 188 T^{2} + 14118 T^{4} - 225784 T^{6} - 33981775 T^{8} + 2162610456 T^{10} + 41215697590 T^{12} - 13509345277892 T^{14} + 1095095924907012 T^{16} - 50268273779036132 T^{18} + 570665995535223190 T^{20} + \)\(11\!\cdots\!16\)\( T^{22} - \)\(65\!\cdots\!75\)\( T^{24} - \)\(16\!\cdots\!84\)\( T^{26} + \)\(37\!\cdots\!78\)\( T^{28} - \)\(18\!\cdots\!08\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T - 42 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 98 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 98 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 1072 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 149 T^{2} - 472 T^{3} + 9983 T^{4} - 17956 T^{5} + 300763 T^{6} \))(\( 1 - 4 T + 149 T^{2} - 472 T^{3} + 9983 T^{4} - 17956 T^{5} + 300763 T^{6} \))(\( ( 1 + 24 T + 518 T^{2} + 6904 T^{3} + 85563 T^{4} + 807232 T^{5} + 7373612 T^{6} + 54084544 T^{7} + 384092307 T^{8} + 2076467752 T^{9} + 10438280678 T^{10} + 32403002568 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 24 T + 518 T^{2} + 6904 T^{3} + 85563 T^{4} + 807232 T^{5} + 7373612 T^{6} + 54084544 T^{7} + 384092307 T^{8} + 2076467752 T^{9} + 10438280678 T^{10} + 32403002568 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 8 T + 96 T^{2} - 360 T^{3} + 6510 T^{4} - 24120 T^{5} + 430944 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 6 T + 122 T^{2} + 402 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 12 T + 67 T^{2} )^{8} \))(\( ( 1 - 12 T + 67 T^{2} )^{8} \))(\( ( 1 - 8 T + 96 T^{2} - 360 T^{3} + 6510 T^{4} - 24120 T^{5} + 430944 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 4 T + 198 T^{2} - 628 T^{3} + 17570 T^{4} - 42076 T^{5} + 888822 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 4 T + 182 T^{2} - 948 T^{3} + 15554 T^{4} - 63516 T^{5} + 816998 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{4} \))(\( 1 - 9 T + 14 T^{2} - 603 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 14 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 10 T + 13 T^{2} + 470 T^{3} - 3620 T^{4} + 31490 T^{5} + 58357 T^{6} - 3007630 T^{7} + 20151121 T^{8} \))(\( 1 - 6 T + 5 T^{2} + 618 T^{3} - 5940 T^{4} + 41406 T^{5} + 22445 T^{6} - 1804578 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T - 23 T^{2} + 376 T^{3} - 1208 T^{4} + 25192 T^{5} - 103247 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 14 T + 31 T^{2} + 434 T^{3} + 9604 T^{4} + 29078 T^{5} + 139159 T^{6} + 4210682 T^{7} + 20151121 T^{8} \))(\( 1 - 10 T + 13 T^{2} + 470 T^{3} - 3620 T^{4} + 31490 T^{5} + 58357 T^{6} - 3007630 T^{7} + 20151121 T^{8} \))(\( 1 + 6 T - 102 T^{2} - 356 T^{3} + 6246 T^{4} - 2322 T^{5} - 485562 T^{6} - 155574 T^{7} + 28038294 T^{8} - 107071628 T^{9} - 2055414342 T^{10} + 8100750642 T^{11} + 90458382169 T^{12} \))(\( 1 + 6 T - 150 T^{2} - 324 T^{3} + 17814 T^{4} + 11310 T^{5} - 1359610 T^{6} + 757770 T^{7} + 79967046 T^{8} - 97447212 T^{9} - 3022668150 T^{10} + 8100750642 T^{11} + 90458382169 T^{12} \))(\( 1 + 24 T + 162 T^{2} + 528 T^{3} + 13777 T^{4} + 115920 T^{5} - 234846 T^{6} + 1238904 T^{7} + 74527668 T^{8} + 83006568 T^{9} - 1054223694 T^{10} + 34864446960 T^{11} + 277621994017 T^{12} + 712866056496 T^{13} + 14654257911378 T^{14} + 145457078527752 T^{15} + 406067677556641 T^{16} \))(\( ( 1 - 8 T - 14 T^{2} + 448 T^{3} - 2693 T^{4} + 30016 T^{5} - 62846 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 + 24 T + 162 T^{2} + 528 T^{3} + 13777 T^{4} + 115920 T^{5} - 234846 T^{6} + 1238904 T^{7} + 74527668 T^{8} + 83006568 T^{9} - 1054223694 T^{10} + 34864446960 T^{11} + 277621994017 T^{12} + 712866056496 T^{13} + 14654257911378 T^{14} + 145457078527752 T^{15} + 406067677556641 T^{16} \))(\( 1 + 16 T - 186 T^{2} - 4088 T^{3} + 17155 T^{4} + 531672 T^{5} - 1174782 T^{6} - 45150464 T^{7} + 109860217 T^{8} + 2760233088 T^{9} - 14334854684 T^{10} - 130824947456 T^{11} + 1614095177022 T^{12} + 4879888122672 T^{13} - 143662297955568 T^{14} - 102109742962512 T^{15} + 10522512537183234 T^{16} - 6841352778488304 T^{17} - 644900055522544752 T^{18} + 1467689791439198736 T^{19} + 32525827217686741662 T^{20} - \)\(17\!\cdots\!92\)\( T^{21} - \)\(12\!\cdots\!96\)\( T^{22} + \)\(16\!\cdots\!24\)\( T^{23} + \)\(44\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} - \)\(21\!\cdots\!18\)\( T^{26} + \)\(64\!\cdots\!76\)\( T^{27} + \)\(14\!\cdots\!55\)\( T^{28} - \)\(22\!\cdots\!56\)\( T^{29} - \)\(68\!\cdots\!94\)\( T^{30} + \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 16 T - 186 T^{2} - 4088 T^{3} + 17155 T^{4} + 531672 T^{5} - 1174782 T^{6} - 45150464 T^{7} + 109860217 T^{8} + 2760233088 T^{9} - 14334854684 T^{10} - 130824947456 T^{11} + 1614095177022 T^{12} + 4879888122672 T^{13} - 143662297955568 T^{14} - 102109742962512 T^{15} + 10522512537183234 T^{16} - 6841352778488304 T^{17} - 644900055522544752 T^{18} + 1467689791439198736 T^{19} + 32525827217686741662 T^{20} - \)\(17\!\cdots\!92\)\( T^{21} - \)\(12\!\cdots\!96\)\( T^{22} + \)\(16\!\cdots\!24\)\( T^{23} + \)\(44\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} - \)\(21\!\cdots\!18\)\( T^{26} + \)\(64\!\cdots\!76\)\( T^{27} + \)\(14\!\cdots\!55\)\( T^{28} - \)\(22\!\cdots\!56\)\( T^{29} - \)\(68\!\cdots\!94\)\( T^{30} + \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( ( 1 - 6 T - 178 T^{2} + 1032 T^{3} + 18733 T^{4} - 84018 T^{5} - 1507870 T^{6} + 2345184 T^{7} + 110694208 T^{8} + 157127328 T^{9} - 6768828430 T^{10} - 25269505734 T^{11} + 377490949693 T^{12} + 1393329110424 T^{13} - 16101592026082 T^{14} - 36364269631938 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 + 8 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 126 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( 1 - 2 T + 53 T^{2} + 580 T^{3} + 3763 T^{4} - 10082 T^{5} + 357911 T^{6} \))(\( 1 + 2 T + 53 T^{2} - 580 T^{3} + 3763 T^{4} + 10082 T^{5} + 357911 T^{6} \))(\( 1 - 608 T^{2} + 177742 T^{4} - 33204544 T^{6} + 4445090783 T^{8} - 452459122016 T^{10} + 36106645977700 T^{12} - 2280846434082656 T^{14} + 112957228993636223 T^{16} - 4253511513867337024 T^{18} + \)\(11\!\cdots\!62\)\( T^{20} - \)\(19\!\cdots\!08\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 608 T^{2} + 177742 T^{4} - 33204544 T^{6} + 4445090783 T^{8} - 452459122016 T^{10} + 36106645977700 T^{12} - 2280846434082656 T^{14} + 112957228993636223 T^{16} - 4253511513867337024 T^{18} + \)\(11\!\cdots\!62\)\( T^{20} - \)\(19\!\cdots\!08\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 4 T + 62 T^{2} - 508 T^{3} - 2694 T^{4} - 36068 T^{5} + 312542 T^{6} + 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{8} \))(\( ( 1 + 114 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 132 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 4 T + 62 T^{2} - 508 T^{3} - 2694 T^{4} - 36068 T^{5} + 312542 T^{6} + 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 256 T^{2} + 33788 T^{4} - 3475200 T^{6} + 285337798 T^{8} - 17518483200 T^{10} + 858609877628 T^{12} - 32793672683776 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 70 T^{2} + 5041 T^{4} )^{8} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 3 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 - 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 5 T + 71 T^{2} )^{2} \))(\( ( 1 + 5 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 5 T + 71 T^{2} )^{2} \))(\( ( 1 + 5 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 2 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 16 T + 178 T^{2} - 1136 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 14 T + 184 T^{2} + 994 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 108 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 4 T + 18 T^{2} + 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 9 T + 105 T^{2} + 1170 T^{3} + 7455 T^{4} + 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 3 T + 189 T^{2} + 362 T^{3} + 13419 T^{4} + 15123 T^{5} + 357911 T^{6} )^{2} \))(\( 1 - 16 T^{2} + 36 T^{4} - 289328 T^{6} + 20048390 T^{8} - 1458502448 T^{10} + 914820516 T^{12} - 2049604542736 T^{14} + 645753531245761 T^{16} \))(\( ( 1 - 230 T^{2} + 22659 T^{4} - 1159430 T^{6} + 25411681 T^{8} )^{2} \))(\( 1 - 16 T^{2} + 36 T^{4} - 289328 T^{6} + 20048390 T^{8} - 1458502448 T^{10} + 914820516 T^{12} - 2049604542736 T^{14} + 645753531245761 T^{16} \))(\( ( 1 - 28 T + 665 T^{2} - 9556 T^{3} + 124346 T^{4} - 1164764 T^{5} + 10825387 T^{6} - 79684020 T^{7} + 712940082 T^{8} - 5657565420 T^{9} + 54570775867 T^{10} - 416881848004 T^{11} + 3159840885626 T^{12} - 17241215678156 T^{13} + 85186688807465 T^{14} - 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 28 T + 665 T^{2} - 9556 T^{3} + 124346 T^{4} - 1164764 T^{5} + 10825387 T^{6} - 79684020 T^{7} + 712940082 T^{8} - 5657565420 T^{9} + 54570775867 T^{10} - 416881848004 T^{11} + 3159840885626 T^{12} - 17241215678156 T^{13} + 85186688807465 T^{14} - 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 2 T + 110 T^{2} + 764 T^{3} + 8800 T^{4} + 54244 T^{5} + 554510 T^{6} + 715822 T^{7} + 25411681 T^{8} )^{4} \))
$73$ (\( 1 - 6 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 12 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 8 T + 82 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 72 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 72 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 150 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 + 14 T + 273 T^{2} + 2088 T^{3} + 19929 T^{4} + 74606 T^{5} + 389017 T^{6} \))(\( 1 + 14 T + 273 T^{2} + 2088 T^{3} + 19929 T^{4} + 74606 T^{5} + 389017 T^{6} \))(\( 1 - 380 T^{2} + 73958 T^{4} - 10264908 T^{6} + 1143401795 T^{8} - 106217459784 T^{10} + 8380146839308 T^{12} - 566032843188936 T^{14} + 32470599734242595 T^{16} - 1553431910107766412 T^{18} + 59644175476302442598 T^{20} - \)\(16\!\cdots\!20\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 380 T^{2} + 73958 T^{4} - 10264908 T^{6} + 1143401795 T^{8} - 106217459784 T^{10} + 8380146839308 T^{12} - 566032843188936 T^{14} + 32470599734242595 T^{16} - 1553431910107766412 T^{18} + 59644175476302442598 T^{20} - \)\(16\!\cdots\!20\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 2 T + 270 T^{2} - 438 T^{3} + 28826 T^{4} - 31974 T^{5} + 1438830 T^{6} - 778034 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T^{2} - 1422 T^{4} - 42632 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 74 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 + 73 T^{2} )^{8} \))(\( ( 1 + 2 T + 270 T^{2} + 438 T^{3} + 28826 T^{4} + 31974 T^{5} + 1438830 T^{6} + 778034 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 388 T^{2} + 70838 T^{4} - 8296980 T^{6} + 701448674 T^{8} - 44214606420 T^{10} + 2011674595958 T^{12} - 58717679800132 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 100 T^{2} + 24486 T^{4} - 1625908 T^{6} + 204031490 T^{8} - 8664463732 T^{10} + 695359329126 T^{12} - 15133422628900 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 183 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 71 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 8 T - 9 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T - 9 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 71 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 - 8 T - 9 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T - 9 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 7 T + 73 T^{2} ) \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 126 T^{2} + 16 T^{3} + 13667 T^{4} + 1168 T^{5} - 671454 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 20 T + 182 T^{2} - 1440 T^{3} + 12995 T^{4} - 105120 T^{5} + 969878 T^{6} - 7780340 T^{7} + 28398241 T^{8} \))(\( 1 + 6 T - 112 T^{2} + 12 T^{3} + 13947 T^{4} + 876 T^{5} - 596848 T^{6} + 2334102 T^{7} + 28398241 T^{8} \))(\( 1 - 16 T + 48 T^{2} - 992 T^{3} + 19247 T^{4} - 72416 T^{5} + 255792 T^{6} - 6224272 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T - 126 T^{2} + 16 T^{3} + 13667 T^{4} + 1168 T^{5} - 671454 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 99 T^{2} - 960 T^{3} + 2574 T^{4} + 47520 T^{5} + 292961 T^{6} + 3468960 T^{7} + 13716846 T^{8} - 373456320 T^{9} - 2811425859 T^{10} + 151334226289 T^{12} \))(\( 1 - 123 T^{2} - 384 T^{3} + 6150 T^{4} + 23616 T^{5} - 289519 T^{6} + 1723968 T^{7} + 32773350 T^{8} - 149382528 T^{9} - 3492983643 T^{10} + 151334226289 T^{12} \))(\( 1 + 24 T + 456 T^{2} + 6336 T^{3} + 73870 T^{4} + 719688 T^{5} + 6574464 T^{6} + 54754008 T^{7} + 470730531 T^{8} + 3997042584 T^{9} + 35035318656 T^{10} + 279970866696 T^{11} + 2097778062670 T^{12} + 13134981613248 T^{13} + 69008407187784 T^{14} + 265137564458328 T^{15} + 806460091894081 T^{16} \))(\( ( 1 + 122 T^{2} + 9555 T^{4} + 650138 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 24 T + 456 T^{2} + 6336 T^{3} + 73870 T^{4} + 719688 T^{5} + 6574464 T^{6} + 54754008 T^{7} + 470730531 T^{8} + 3997042584 T^{9} + 35035318656 T^{10} + 279970866696 T^{11} + 2097778062670 T^{12} + 13134981613248 T^{13} + 69008407187784 T^{14} + 265137564458328 T^{15} + 806460091894081 T^{16} \))(\( 1 + 44 T + 732 T^{2} + 5000 T^{3} + 5052 T^{4} - 60564 T^{5} - 1170168 T^{6} - 30721884 T^{7} - 151939238 T^{8} + 1947541152 T^{9} + 15985812484 T^{10} + 23523632180 T^{11} + 1180237150256 T^{12} + 10207425497860 T^{13} - 40635532820892 T^{14} + 79264670270400 T^{15} + 8440882624589587 T^{16} + 5786320929739200 T^{17} - 216546754402533468 T^{18} + 3970862044901003620 T^{19} + 33516659030123099696 T^{20} + 48766173636538662740 T^{21} + \)\(24\!\cdots\!76\)\( T^{22} + \)\(21\!\cdots\!44\)\( T^{23} - \)\(12\!\cdots\!78\)\( T^{24} - \)\(18\!\cdots\!92\)\( T^{25} - \)\(50\!\cdots\!32\)\( T^{26} - \)\(19\!\cdots\!28\)\( T^{27} + \)\(11\!\cdots\!92\)\( T^{28} + \)\(83\!\cdots\!00\)\( T^{29} + \)\(89\!\cdots\!88\)\( T^{30} + \)\(39\!\cdots\!08\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 44 T + 732 T^{2} - 5000 T^{3} + 5052 T^{4} + 60564 T^{5} - 1170168 T^{6} + 30721884 T^{7} - 151939238 T^{8} - 1947541152 T^{9} + 15985812484 T^{10} - 23523632180 T^{11} + 1180237150256 T^{12} - 10207425497860 T^{13} - 40635532820892 T^{14} - 79264670270400 T^{15} + 8440882624589587 T^{16} - 5786320929739200 T^{17} - 216546754402533468 T^{18} - 3970862044901003620 T^{19} + 33516659030123099696 T^{20} - 48766173636538662740 T^{21} + \)\(24\!\cdots\!76\)\( T^{22} - \)\(21\!\cdots\!44\)\( T^{23} - \)\(12\!\cdots\!78\)\( T^{24} + \)\(18\!\cdots\!92\)\( T^{25} - \)\(50\!\cdots\!32\)\( T^{26} + \)\(19\!\cdots\!28\)\( T^{27} + \)\(11\!\cdots\!92\)\( T^{28} - \)\(83\!\cdots\!00\)\( T^{29} + \)\(89\!\cdots\!88\)\( T^{30} - \)\(39\!\cdots\!08\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 380 T^{2} + 72672 T^{4} - 9659248 T^{6} + 1042287158 T^{8} - 101074214712 T^{10} + 9223660177504 T^{12} - 784363064092172 T^{14} + 60491708327485827 T^{16} - 4179870768547184588 T^{18} + \)\(26\!\cdots\!64\)\( T^{20} - \)\(15\!\cdots\!68\)\( T^{22} + \)\(84\!\cdots\!98\)\( T^{24} - \)\(41\!\cdots\!52\)\( T^{26} + \)\(16\!\cdots\!12\)\( T^{28} - \)\(46\!\cdots\!20\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( 1 - 4 T + 122 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 122 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 201 T^{2} - 1120 T^{3} + 15879 T^{4} - 49928 T^{5} + 493039 T^{6} \))(\( 1 - 8 T + 201 T^{2} - 1120 T^{3} + 15879 T^{4} - 49928 T^{5} + 493039 T^{6} \))(\( 1 - 524 T^{2} + 119722 T^{4} - 15586364 T^{6} + 1277890271 T^{8} - 73296767224 T^{10} + 4411865491692 T^{12} - 457445124244984 T^{14} + 49773929564561951 T^{16} - 3788849565584115644 T^{18} + \)\(18\!\cdots\!42\)\( T^{20} - \)\(49\!\cdots\!24\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 524 T^{2} + 119722 T^{4} - 15586364 T^{6} + 1277890271 T^{8} - 73296767224 T^{10} + 4411865491692 T^{12} - 457445124244984 T^{14} + 49773929564561951 T^{16} - 3788849565584115644 T^{18} + \)\(18\!\cdots\!42\)\( T^{20} - \)\(49\!\cdots\!24\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 332 T^{2} + 64072 T^{4} - 8128164 T^{6} + 754483726 T^{8} - 50727871524 T^{10} + 2495609589832 T^{12} - 80705035232972 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 130 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 148 T^{2} + 6241 T^{4} )^{4} \))(\( 1 - 332 T^{2} + 64072 T^{4} - 8128164 T^{6} + 754483726 T^{8} - 50727871524 T^{10} + 2495609589832 T^{12} - 80705035232972 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 + 4 T + 140 T^{2} + 108 T^{3} + 9346 T^{4} + 8532 T^{5} + 873740 T^{6} + 1972156 T^{7} + 38950081 T^{8} )^{4} \))(\( ( 1 - 24 T + 384 T^{2} - 4648 T^{3} + 46626 T^{4} - 367192 T^{5} + 2396544 T^{6} - 11832936 T^{7} + 38950081 T^{8} )^{4} \))(\( 1 - 15 T + 146 T^{2} - 1185 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( ( 1 + 4 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 9 T + 2 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 9 T + 2 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 + 9 T + 2 T^{2} + 711 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( 1 + 18 T + 103 T^{2} + 1134 T^{3} + 17004 T^{4} + 89586 T^{5} + 642823 T^{6} + 8874702 T^{7} + 38950081 T^{8} \))(\( 1 + 16 T + 41 T^{2} + 912 T^{3} + 19760 T^{4} + 72048 T^{5} + 255881 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 - 151 T^{2} + 16560 T^{4} - 942391 T^{6} + 38950081 T^{8} \))(\( 1 - 18 T + 103 T^{2} - 1134 T^{3} + 17004 T^{4} - 89586 T^{5} + 642823 T^{6} - 8874702 T^{7} + 38950081 T^{8} \))(\( 1 + 18 T + 103 T^{2} + 1134 T^{3} + 17004 T^{4} + 89586 T^{5} + 642823 T^{6} + 8874702 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T - 126 T^{2} - 520 T^{3} + 29010 T^{4} + 70572 T^{5} - 2137326 T^{6} + 5575188 T^{7} + 181051410 T^{8} - 256380280 T^{9} - 4907710206 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 + 12 T - 60 T^{2} - 608 T^{3} + 7164 T^{4} - 180 T^{5} - 865506 T^{6} - 14220 T^{7} + 44710524 T^{8} - 299767712 T^{9} - 2337004860 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 40 T + 712 T^{2} - 9632 T^{3} + 135425 T^{4} - 1688128 T^{5} + 17529320 T^{6} - 177393800 T^{7} + 1703306752 T^{8} - 14014110200 T^{9} + 109400486120 T^{10} - 832312940992 T^{11} + 5274814719425 T^{12} - 29638207235168 T^{13} + 173078268330952 T^{14} - 768156359446360 T^{15} + 1517108809906561 T^{16} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{4} \))(\( 1 - 40 T + 712 T^{2} - 9632 T^{3} + 135425 T^{4} - 1688128 T^{5} + 17529320 T^{6} - 177393800 T^{7} + 1703306752 T^{8} - 14014110200 T^{9} + 109400486120 T^{10} - 832312940992 T^{11} + 5274814719425 T^{12} - 29638207235168 T^{13} + 173078268330952 T^{14} - 768156359446360 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 30 T + 719 T^{2} + 12570 T^{3} + 189438 T^{4} + 2490402 T^{5} + 29620697 T^{6} + 314951958 T^{7} + 3015838143 T^{8} + 24654844776 T^{9} + 163821266684 T^{10} + 633865980192 T^{11} - 3527632354616 T^{12} - 117997166527224 T^{13} - 1739518467334544 T^{14} - 19828557434833632 T^{15} - 189428265761930420 T^{16} - 1566456037351856928 T^{17} - 10856334754634889104 T^{18} - 58177204987415993736 T^{19} - \)\(13\!\cdots\!96\)\( T^{20} + \)\(19\!\cdots\!08\)\( T^{21} + \)\(39\!\cdots\!64\)\( T^{22} + \)\(47\!\cdots\!84\)\( T^{23} + \)\(45\!\cdots\!23\)\( T^{24} + \)\(37\!\cdots\!02\)\( T^{25} + \)\(28\!\cdots\!97\)\( T^{26} + \)\(18\!\cdots\!58\)\( T^{27} + \)\(11\!\cdots\!58\)\( T^{28} + \)\(58\!\cdots\!30\)\( T^{29} + \)\(26\!\cdots\!39\)\( T^{30} + \)\(87\!\cdots\!70\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 30 T + 719 T^{2} - 12570 T^{3} + 189438 T^{4} - 2490402 T^{5} + 29620697 T^{6} - 314951958 T^{7} + 3015838143 T^{8} - 24654844776 T^{9} + 163821266684 T^{10} - 633865980192 T^{11} - 3527632354616 T^{12} + 117997166527224 T^{13} - 1739518467334544 T^{14} + 19828557434833632 T^{15} - 189428265761930420 T^{16} + 1566456037351856928 T^{17} - 10856334754634889104 T^{18} + 58177204987415993736 T^{19} - \)\(13\!\cdots\!96\)\( T^{20} - \)\(19\!\cdots\!08\)\( T^{21} + \)\(39\!\cdots\!64\)\( T^{22} - \)\(47\!\cdots\!84\)\( T^{23} + \)\(45\!\cdots\!23\)\( T^{24} - \)\(37\!\cdots\!02\)\( T^{25} + \)\(28\!\cdots\!97\)\( T^{26} - \)\(18\!\cdots\!58\)\( T^{27} + \)\(11\!\cdots\!58\)\( T^{28} - \)\(58\!\cdots\!30\)\( T^{29} + \)\(26\!\cdots\!39\)\( T^{30} - \)\(87\!\cdots\!70\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 232 T^{2} + 22494 T^{4} + 1979384 T^{6} + 156416777 T^{8} + 1173839700 T^{10} - 1024342395362 T^{12} - 135072893469332 T^{14} - 12452187847957308 T^{16} - 842989928142101012 T^{18} - 39898219271083924322 T^{20} + \)\(28\!\cdots\!00\)\( T^{22} + \)\(23\!\cdots\!97\)\( T^{24} + \)\(18\!\cdots\!84\)\( T^{26} + \)\(13\!\cdots\!54\)\( T^{28} + \)\(85\!\cdots\!92\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 8 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 2 T + 42 T^{2} - 166 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 160 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 160 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 94 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 20 T + 371 T^{2} - 3536 T^{3} + 30793 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 371 T^{2} + 3536 T^{3} + 30793 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( ( 1 + 8 T + 238 T^{2} + 736 T^{3} + 16265 T^{4} - 47056 T^{5} + 659256 T^{6} - 3905648 T^{7} + 112049585 T^{8} + 420835232 T^{9} + 11295080398 T^{10} + 31512325144 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 8 T + 238 T^{2} - 736 T^{3} + 16265 T^{4} + 47056 T^{5} + 659256 T^{6} + 3905648 T^{7} + 112049585 T^{8} - 420835232 T^{9} + 11295080398 T^{10} - 31512325144 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 2 T + 186 T^{2} - 322 T^{3} + 21394 T^{4} - 26726 T^{5} + 1281354 T^{6} - 1143574 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 82 T^{2} + 13758 T^{4} + 564898 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 110 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 146 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 2 T + 186 T^{2} + 322 T^{3} + 21394 T^{4} + 26726 T^{5} + 1281354 T^{6} + 1143574 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 316 T^{2} + 52870 T^{4} + 6559612 T^{6} + 628398466 T^{8} + 45189167068 T^{10} + 2509121431270 T^{12} + 103313157984604 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 188 T^{2} + 11094 T^{4} - 614020 T^{6} - 134700574 T^{8} - 4229983780 T^{10} + 526502613174 T^{12} + 61464790193372 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 9 T + 83 T^{2} )^{2} \))(\( ( 1 + 9 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 16 T + 83 T^{2} )^{2} \))(\( ( 1 + 15 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 14 T + 83 T^{2} )^{2} \))(\( ( 1 + T + 83 T^{2} )^{2} \))(\( ( 1 + 14 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 15 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 9 T + 83 T^{2} )^{2} \))(\( ( 1 + 14 T + 207 T^{2} + 1162 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} + 830 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 16 T + 202 T^{2} + 1328 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 4 T - 30 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 14 T + 207 T^{2} - 1162 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 18 T + 282 T^{2} + 2824 T^{3} + 23406 T^{4} + 124002 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 6 T + 138 T^{2} - 1184 T^{3} + 11454 T^{4} - 41334 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 36 T + 650 T^{2} + 7992 T^{3} + 79011 T^{4} + 663336 T^{5} + 4477850 T^{6} + 20584332 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 104 T^{2} + 13890 T^{4} + 716456 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 36 T + 650 T^{2} - 7992 T^{3} + 79011 T^{4} - 663336 T^{5} + 4477850 T^{6} - 20584332 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 4 T + 523 T^{2} + 1544 T^{3} + 123705 T^{4} + 263372 T^{5} + 17791866 T^{6} + 28394068 T^{7} + 1752220430 T^{8} + 2356707644 T^{9} + 122568164874 T^{10} + 150592685764 T^{11} + 5870831599305 T^{12} + 6081878752792 T^{13} + 170989815271987 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 4 T + 523 T^{2} - 1544 T^{3} + 123705 T^{4} - 263372 T^{5} + 17791866 T^{6} - 28394068 T^{7} + 1752220430 T^{8} - 2356707644 T^{9} + 122568164874 T^{10} - 150592685764 T^{11} + 5870831599305 T^{12} - 6081878752792 T^{13} + 170989815271987 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 404 T^{2} + 73300 T^{4} + 8358284 T^{6} + 744742582 T^{8} + 57580218476 T^{10} + 3478694929300 T^{12} + 132083910841076 T^{14} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 14 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( 1 + 20 T + 238 T^{2} + 1780 T^{3} + 7921 T^{4} \))(\( 1 - 20 T + 238 T^{2} - 1780 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 166 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 295 T^{2} - 2704 T^{3} + 26255 T^{4} - 126736 T^{5} + 704969 T^{6} \))(\( 1 + 16 T + 295 T^{2} + 2704 T^{3} + 26255 T^{4} + 126736 T^{5} + 704969 T^{6} \))(\( 1 - 280 T^{2} + 46846 T^{4} - 6268504 T^{6} + 748624287 T^{8} - 77710657552 T^{10} + 7199133986436 T^{12} - 615546118469392 T^{14} + 46970365433407167 T^{16} - 3115329210314192344 T^{18} + \)\(18\!\cdots\!26\)\( T^{20} - \)\(87\!\cdots\!80\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 280 T^{2} + 46846 T^{4} - 6268504 T^{6} + 748624287 T^{8} - 77710657552 T^{10} + 7199133986436 T^{12} - 615546118469392 T^{14} + 46970365433407167 T^{16} - 3115329210314192344 T^{18} + \)\(18\!\cdots\!26\)\( T^{20} - \)\(87\!\cdots\!80\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 512 T^{2} + 125500 T^{4} - 19379712 T^{6} + 2057968966 T^{8} - 153506698752 T^{10} + 7874151245500 T^{12} - 254454420972032 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 - 82 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 - 89 T^{2} )^{8} \))(\( ( 1 + 110 T^{2} + 7921 T^{4} )^{4} \))(\( 1 - 512 T^{2} + 125500 T^{4} - 19379712 T^{6} + 2057968966 T^{8} - 153506698752 T^{10} + 7874151245500 T^{12} - 254454420972032 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 + 292 T^{2} + 38216 T^{4} + 3178860 T^{6} + 248573134 T^{8} + 25179750060 T^{10} + 2397757482056 T^{12} + 145118536960612 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 212 T^{2} + 19656 T^{4} + 576572 T^{6} - 23116594 T^{8} + 4567026812 T^{10} + 1233261489096 T^{12} + 105360033683732 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 + 8 T - 25 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 55 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 2 T - 85 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 2 T - 85 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 55 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 + 8 T - 58 T^{2} - 448 T^{3} + 1267 T^{4} - 39872 T^{5} - 459418 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 16 T + 42 T^{2} - 576 T^{3} + 15091 T^{4} - 51264 T^{5} + 332682 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T - 18 T^{2} - 768 T^{3} - 6893 T^{4} - 68352 T^{5} - 142578 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T - 58 T^{2} + 448 T^{3} + 1267 T^{4} + 39872 T^{5} - 459418 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T - 58 T^{2} + 448 T^{3} + 1267 T^{4} + 39872 T^{5} - 459418 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 12 T - 111 T^{2} - 1180 T^{3} + 16890 T^{4} + 90972 T^{5} - 1023511 T^{6} + 8096508 T^{7} + 133785690 T^{8} - 831863420 T^{9} - 6964388751 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 36 T + 633 T^{2} + 8396 T^{3} + 102066 T^{4} + 1165620 T^{5} + 11868377 T^{6} + 103740180 T^{7} + 808464786 T^{8} + 5918919724 T^{9} + 39715838553 T^{10} + 201026140164 T^{11} + 496981290961 T^{12} \))(\( 1 - 16 T + 24 T^{2} + 1056 T^{3} - 11602 T^{4} + 107760 T^{5} - 365440 T^{6} - 7272880 T^{7} + 110341923 T^{8} - 647286320 T^{9} - 2894650240 T^{10} + 75967459440 T^{11} - 727935480082 T^{12} + 5896766778144 T^{13} + 11927550983064 T^{14} - 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 320 T^{2} + 61246 T^{4} - 8099840 T^{6} + 819799075 T^{8} - 64158832640 T^{10} + 3842711292286 T^{12} - 159034013107520 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 16 T + 24 T^{2} - 1056 T^{3} - 11602 T^{4} - 107760 T^{5} - 365440 T^{6} + 7272880 T^{7} + 110341923 T^{8} + 647286320 T^{9} - 2894650240 T^{10} - 75967459440 T^{11} - 727935480082 T^{12} - 5896766778144 T^{13} + 11927550983064 T^{14} + 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 36 T + 968 T^{2} - 19296 T^{3} + 325668 T^{4} - 4609212 T^{5} + 56729552 T^{6} - 597370692 T^{7} + 5319065562 T^{8} - 37089600696 T^{9} + 149466922904 T^{10} + 879537441732 T^{11} - 29159705241296 T^{12} + 437657801841588 T^{13} - 5158540285986536 T^{14} + 54240214087792200 T^{15} - 525790322706413885 T^{16} + 4827379053813505800 T^{17} - 40860797605299351656 T^{18} + \)\(30\!\cdots\!72\)\( T^{19} - \)\(18\!\cdots\!36\)\( T^{20} + \)\(49\!\cdots\!68\)\( T^{21} + \)\(74\!\cdots\!44\)\( T^{22} - \)\(16\!\cdots\!84\)\( T^{23} + \)\(20\!\cdots\!22\)\( T^{24} - \)\(20\!\cdots\!28\)\( T^{25} + \)\(17\!\cdots\!52\)\( T^{26} - \)\(12\!\cdots\!68\)\( T^{27} + \)\(80\!\cdots\!28\)\( T^{28} - \)\(42\!\cdots\!24\)\( T^{29} + \)\(18\!\cdots\!88\)\( T^{30} - \)\(62\!\cdots\!64\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 36 T + 968 T^{2} - 19296 T^{3} + 325668 T^{4} - 4609212 T^{5} + 56729552 T^{6} - 597370692 T^{7} + 5319065562 T^{8} - 37089600696 T^{9} + 149466922904 T^{10} + 879537441732 T^{11} - 29159705241296 T^{12} + 437657801841588 T^{13} - 5158540285986536 T^{14} + 54240214087792200 T^{15} - 525790322706413885 T^{16} + 4827379053813505800 T^{17} - 40860797605299351656 T^{18} + \)\(30\!\cdots\!72\)\( T^{19} - \)\(18\!\cdots\!36\)\( T^{20} + \)\(49\!\cdots\!68\)\( T^{21} + \)\(74\!\cdots\!44\)\( T^{22} - \)\(16\!\cdots\!84\)\( T^{23} + \)\(20\!\cdots\!22\)\( T^{24} - \)\(20\!\cdots\!28\)\( T^{25} + \)\(17\!\cdots\!52\)\( T^{26} - \)\(12\!\cdots\!68\)\( T^{27} + \)\(80\!\cdots\!28\)\( T^{28} - \)\(42\!\cdots\!24\)\( T^{29} + \)\(18\!\cdots\!88\)\( T^{30} - \)\(62\!\cdots\!64\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 48 T + 1280 T^{2} + 24576 T^{3} + 373030 T^{4} + 4735908 T^{5} + 52673264 T^{6} + 535621992 T^{7} + 5154774259 T^{8} + 47670357288 T^{9} + 417224924144 T^{10} + 3338668326852 T^{11} + 23404738160230 T^{12} + 137233845018624 T^{13} + 636136052430080 T^{14} + 2123104074985392 T^{15} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( 1 - 18 T + 223 T^{2} - 2524 T^{3} + 21631 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 - 18 T + 223 T^{2} - 2524 T^{3} + 21631 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( ( 1 - 24 T + 574 T^{2} - 9080 T^{3} + 135071 T^{4} - 1580400 T^{5} + 17114692 T^{6} - 153298800 T^{7} + 1270883039 T^{8} - 8287070840 T^{9} + 50815807294 T^{10} - 206096166168 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 24 T + 574 T^{2} - 9080 T^{3} + 135071 T^{4} - 1580400 T^{5} + 17114692 T^{6} - 153298800 T^{7} + 1270883039 T^{8} - 8287070840 T^{9} + 50815807294 T^{10} - 206096166168 T^{11} + 832972004929 T^{12} )^{2} \))(\( 1 - 640 T^{2} + 188988 T^{4} - 33686656 T^{6} + 3969998982 T^{8} - 316957746304 T^{10} + 16730971757628 T^{12} - 533102083154560 T^{14} + 7837433594376961 T^{16} \))(\( ( 1 - 60 T^{2} + 11318 T^{4} - 564540 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 30 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 174 T^{2} + 9409 T^{4} )^{4} \))(\( 1 - 640 T^{2} + 188988 T^{4} - 33686656 T^{6} + 3969998982 T^{8} - 316957746304 T^{10} + 16730971757628 T^{12} - 533102083154560 T^{14} + 7837433594376961 T^{16} \))(\( ( 1 - 296 T^{2} + 53852 T^{4} - 7384344 T^{6} + 801294022 T^{8} - 69479292696 T^{10} + 4767478840412 T^{12} - 246559713458984 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 520 T^{2} + 135324 T^{4} - 22521400 T^{6} + 2595040838 T^{8} - 211903852600 T^{10} + 11980136422044 T^{12} - 433145442563080 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 5 T + 97 T^{2} )^{2} \))(\( ( 1 - 5 T + 97 T^{2} )^{2} \))(\( ( 1 - 17 T + 97 T^{2} )^{2} \))(\( ( 1 + T + 97 T^{2} )^{2} \))(\( ( 1 + 13 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 13 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 15 T + 97 T^{2} )^{2} \))(\( ( 1 - 9 T + 97 T^{2} )^{2} \))(\( ( 1 - 15 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 13 T + 97 T^{2} )^{2} \))(\( ( 1 + 13 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 5 T + 97 T^{2} )^{2} \))(\( ( 1 + 26 T + 355 T^{2} + 2522 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 83 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 22 T + 287 T^{2} + 2134 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 187 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 26 T + 355 T^{2} + 2522 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{6} \))(\( ( 1 - 9 T + 210 T^{2} - 1753 T^{3} + 20370 T^{4} - 84681 T^{5} + 912673 T^{6} )^{2} \))(\( 1 - 452 T^{2} + 104394 T^{4} - 16099984 T^{6} + 1808979155 T^{8} - 151484749456 T^{10} + 9241925760714 T^{12} - 376503346227908 T^{14} + 7837433594376961 T^{16} \))(\( ( 1 - 334 T^{2} + 46419 T^{4} - 3142606 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 - 452 T^{2} + 104394 T^{4} - 16099984 T^{6} + 1808979155 T^{8} - 151484749456 T^{10} + 9241925760714 T^{12} - 376503346227908 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 608 T^{2} + 187588 T^{4} - 40328000 T^{6} + 6818823050 T^{8} - 967972100768 T^{10} + 120672937256208 T^{12} - 13517338511335328 T^{14} + 1373778662576096019 T^{16} - \)\(12\!\cdots\!52\)\( T^{18} + \)\(10\!\cdots\!48\)\( T^{20} - \)\(80\!\cdots\!72\)\( T^{22} + \)\(53\!\cdots\!50\)\( T^{24} - \)\(29\!\cdots\!00\)\( T^{26} + \)\(13\!\cdots\!08\)\( T^{28} - \)\(39\!\cdots\!52\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 608 T^{2} + 187588 T^{4} - 40328000 T^{6} + 6818823050 T^{8} - 967972100768 T^{10} + 120672937256208 T^{12} - 13517338511335328 T^{14} + 1373778662576096019 T^{16} - \)\(12\!\cdots\!52\)\( T^{18} + \)\(10\!\cdots\!48\)\( T^{20} - \)\(80\!\cdots\!72\)\( T^{22} + \)\(53\!\cdots\!50\)\( T^{24} - \)\(29\!\cdots\!00\)\( T^{26} + \)\(13\!\cdots\!08\)\( T^{28} - \)\(39\!\cdots\!52\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 132 T^{2} + 34546 T^{4} - 2728224 T^{6} + 439608027 T^{8} - 25669859616 T^{10} + 3058332541426 T^{12} - 109952304650628 T^{14} + 7837433594376961 T^{16} )^{2} \))
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