Properties

Label 1155.2
Level 1155
Weight 2
Dimension 29305
Nonzero newspaces 48
Sturm bound 184320
Trace bound 5

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Defining parameters

Level: \( N \) = \( 1155\( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(184320\)
Trace bound: \(5\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1155))\).

Total New Old
Modular forms 48000 30393 17607
Cusp forms 44161 29305 14856
Eisenstein series 3839 1088 2751

Trace form

\( 29305q - 13q^{2} - 31q^{3} - 49q^{4} + 13q^{5} - 33q^{6} - 39q^{7} + 119q^{8} + 41q^{9} + O(q^{10}) \) \( 29305q - 13q^{2} - 31q^{3} - 49q^{4} + 13q^{5} - 33q^{6} - 39q^{7} + 119q^{8} + 41q^{9} + 23q^{10} + 45q^{11} + 47q^{12} + 14q^{13} + 111q^{14} - 69q^{15} + 119q^{16} + 122q^{17} + 31q^{18} + 100q^{19} + 147q^{20} - 51q^{21} + 75q^{22} + 104q^{23} + 3q^{24} + 33q^{25} + 154q^{26} - 139q^{27} + 15q^{28} + 30q^{29} - 127q^{30} - 104q^{31} - 153q^{32} - 107q^{33} - 122q^{34} - 35q^{35} - 409q^{36} - 10q^{37} + 28q^{38} - 14q^{39} - 325q^{40} + 154q^{41} - 137q^{42} - 36q^{43} + 39q^{44} - 65q^{45} + 32q^{46} + 96q^{47} - 181q^{48} + 33q^{49} + 7q^{50} - 26q^{51} - 262q^{52} + 30q^{53} - 81q^{54} - 263q^{55} - 89q^{56} - 228q^{57} - 622q^{58} - 172q^{59} - 647q^{60} - 618q^{61} - 512q^{62} - 251q^{63} - 1217q^{64} - 458q^{65} - 905q^{66} - 668q^{67} - 1026q^{68} - 548q^{69} - 941q^{70} - 440q^{71} - 909q^{72} - 422q^{73} - 542q^{74} - 343q^{75} - 1156q^{76} - 275q^{77} - 662q^{78} - 184q^{79} - 349q^{80} - 543q^{81} - 394q^{82} + 100q^{83} - 665q^{84} - 182q^{85} - 260q^{86} - 18q^{87} - 313q^{88} + 26q^{89} - 303q^{90} - 218q^{91} - 32q^{92} - 12q^{93} - 72q^{94} + 104q^{95} - 421q^{96} + 98q^{97} + 331q^{98} - 267q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1155))\)

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
1155.2.a \(\chi_{1155}(1, \cdot)\) 1155.2.a.a 1 1
1155.2.a.b 1
1155.2.a.c 1
1155.2.a.d 1
1155.2.a.e 1
1155.2.a.f 1
1155.2.a.g 1
1155.2.a.h 1
1155.2.a.i 1
1155.2.a.j 1
1155.2.a.k 1
1155.2.a.l 1
1155.2.a.m 1
1155.2.a.n 1
1155.2.a.o 2
1155.2.a.p 2
1155.2.a.q 2
1155.2.a.r 2
1155.2.a.s 3
1155.2.a.t 3
1155.2.a.u 4
1155.2.a.v 4
1155.2.a.w 5
1155.2.c \(\chi_{1155}(694, \cdot)\) 1155.2.c.a 2 1
1155.2.c.b 2
1155.2.c.c 6
1155.2.c.d 6
1155.2.c.e 20
1155.2.c.f 20
1155.2.d \(\chi_{1155}(881, \cdot)\) n/a 104 1
1155.2.f \(\chi_{1155}(659, \cdot)\) n/a 144 1
1155.2.i \(\chi_{1155}(76, \cdot)\) 1155.2.i.a 8 1
1155.2.i.b 8
1155.2.i.c 16
1155.2.i.d 32
1155.2.k \(\chi_{1155}(769, \cdot)\) 1155.2.k.a 48 1
1155.2.k.b 48
1155.2.l \(\chi_{1155}(1121, \cdot)\) 1155.2.l.a 4 1
1155.2.l.b 4
1155.2.l.c 4
1155.2.l.d 4
1155.2.l.e 40
1155.2.l.f 40
1155.2.n \(\chi_{1155}(419, \cdot)\) n/a 160 1
1155.2.q \(\chi_{1155}(331, \cdot)\) 1155.2.q.a 2 2
1155.2.q.b 2
1155.2.q.c 2
1155.2.q.d 2
1155.2.q.e 2
1155.2.q.f 4
1155.2.q.g 10
1155.2.q.h 12
1155.2.q.i 14
1155.2.q.j 16
1155.2.q.k 18
1155.2.q.l 20
1155.2.s \(\chi_{1155}(617, \cdot)\) n/a 240 2
1155.2.t \(\chi_{1155}(692, \cdot)\) n/a 368 2
1155.2.v \(\chi_{1155}(727, \cdot)\) n/a 160 2
1155.2.y \(\chi_{1155}(43, \cdot)\) n/a 144 2
1155.2.z \(\chi_{1155}(421, \cdot)\) n/a 192 4
1155.2.bb \(\chi_{1155}(296, \cdot)\) n/a 256 2
1155.2.bc \(\chi_{1155}(439, \cdot)\) n/a 192 2
1155.2.bg \(\chi_{1155}(89, \cdot)\) n/a 320 2
1155.2.bi \(\chi_{1155}(551, \cdot)\) n/a 216 2
1155.2.bj \(\chi_{1155}(529, \cdot)\) n/a 160 2
1155.2.bl \(\chi_{1155}(241, \cdot)\) n/a 128 2
1155.2.bo \(\chi_{1155}(494, \cdot)\) n/a 368 2
1155.2.br \(\chi_{1155}(104, \cdot)\) n/a 736 4
1155.2.bt \(\chi_{1155}(281, \cdot)\) n/a 384 4
1155.2.bu \(\chi_{1155}(139, \cdot)\) n/a 384 4
1155.2.bw \(\chi_{1155}(391, \cdot)\) n/a 256 4
1155.2.bz \(\chi_{1155}(29, \cdot)\) n/a 576 4
1155.2.cb \(\chi_{1155}(146, \cdot)\) n/a 512 4
1155.2.cc \(\chi_{1155}(64, \cdot)\) n/a 288 4
1155.2.ce \(\chi_{1155}(142, \cdot)\) n/a 384 4
1155.2.ch \(\chi_{1155}(397, \cdot)\) n/a 320 4
1155.2.cj \(\chi_{1155}(362, \cdot)\) n/a 736 4
1155.2.ck \(\chi_{1155}(23, \cdot)\) n/a 640 4
1155.2.cm \(\chi_{1155}(16, \cdot)\) n/a 512 8
1155.2.cn \(\chi_{1155}(127, \cdot)\) n/a 576 8
1155.2.cq \(\chi_{1155}(97, \cdot)\) n/a 768 8
1155.2.cs \(\chi_{1155}(62, \cdot)\) n/a 1472 8
1155.2.ct \(\chi_{1155}(92, \cdot)\) n/a 1152 8
1155.2.cv \(\chi_{1155}(74, \cdot)\) n/a 1472 8
1155.2.cy \(\chi_{1155}(61, \cdot)\) n/a 512 8
1155.2.da \(\chi_{1155}(4, \cdot)\) n/a 768 8
1155.2.db \(\chi_{1155}(26, \cdot)\) n/a 1024 8
1155.2.dd \(\chi_{1155}(59, \cdot)\) n/a 1472 8
1155.2.dh \(\chi_{1155}(19, \cdot)\) n/a 768 8
1155.2.di \(\chi_{1155}(116, \cdot)\) n/a 1024 8
1155.2.dl \(\chi_{1155}(53, \cdot)\) n/a 2944 16
1155.2.dm \(\chi_{1155}(17, \cdot)\) n/a 2944 16
1155.2.do \(\chi_{1155}(82, \cdot)\) n/a 1536 16
1155.2.dr \(\chi_{1155}(172, \cdot)\) n/a 1536 16

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1155))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(1155)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(55))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(165))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(231))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(385))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{3} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - T + 2 T^{2} - 2 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 - T + 2 T^{2} - 2 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 + T^{2} - 2 T^{4} + 4 T^{6} + 16 T^{8} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 6 T^{4} - 8 T^{5} + 12 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - T + T^{2} - T^{3} + 2 T^{4} - 2 T^{5} + 4 T^{6} - 4 T^{7} + 8 T^{8} - 16 T^{9} + 32 T^{10} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - 4 T^{2} + 12 T^{4} - 28 T^{6} + 48 T^{8} - 64 T^{10} + 64 T^{12} \))(\( 1 - 4 T^{2} + 12 T^{4} - 28 T^{6} + 48 T^{8} - 64 T^{10} + 64 T^{12} \))(\( 1 - 7 T^{2} + 28 T^{4} - 90 T^{6} + 242 T^{8} - 600 T^{10} + 1449 T^{12} - 3215 T^{14} + 6732 T^{16} - 13440 T^{18} + 26324 T^{20} - 53760 T^{22} + 107712 T^{24} - 205760 T^{26} + 370944 T^{28} - 614400 T^{30} + 991232 T^{32} - 1474560 T^{34} + 1835008 T^{36} - 1835008 T^{38} + 1048576 T^{40} \))(\( 1 - 7 T^{2} + 28 T^{4} - 90 T^{6} + 258 T^{8} - 664 T^{10} + 1545 T^{12} - 3391 T^{14} + 7244 T^{16} - 15008 T^{18} + 30196 T^{20} - 60032 T^{22} + 115904 T^{24} - 217024 T^{26} + 395520 T^{28} - 679936 T^{30} + 1056768 T^{32} - 1474560 T^{34} + 1835008 T^{36} - 1835008 T^{38} + 1048576 T^{40} \))(\( ( 1 - T^{2} - 4 T^{6} + 16 T^{8} )^{2} \))(\( ( 1 - 4 T^{2} + 9 T^{4} - 16 T^{6} + 16 T^{8} )^{2} \))(\( ( 1 - 2 T^{2} + 5 T^{4} - 12 T^{6} + 24 T^{8} - 48 T^{10} + 80 T^{12} - 128 T^{14} + 256 T^{16} )^{2} \))(\( ( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( ( 1 - 2 T^{2} )^{2}( 1 + 2 T^{2} + 4 T^{4} ) \))(\( 1 - 3 T^{2} + T^{4} - 2 T^{5} + 8 T^{6} + 12 T^{7} - 8 T^{8} - 16 T^{9} - 12 T^{10} - 32 T^{11} - 32 T^{12} + 96 T^{13} + 128 T^{14} - 64 T^{15} + 64 T^{16} - 768 T^{18} + 1024 T^{20} \))(\( 1 - 3 T^{2} + T^{4} - 2 T^{5} + 8 T^{6} + 8 T^{7} - 16 T^{8} - 28 T^{9} + 20 T^{10} + 32 T^{11} - 24 T^{12} + 64 T^{13} + 80 T^{14} - 224 T^{15} - 256 T^{16} + 256 T^{17} + 512 T^{18} - 256 T^{19} + 256 T^{20} - 3072 T^{22} + 4096 T^{24} \))(\( 1 - 5 T^{2} + 8 T^{4} + 3 T^{6} + 2 T^{7} - 19 T^{8} + 10 T^{9} - 4 T^{10} - 68 T^{11} + 80 T^{12} + 88 T^{13} - 172 T^{14} + 176 T^{15} + 320 T^{16} - 544 T^{17} - 64 T^{18} + 320 T^{19} - 1216 T^{20} + 256 T^{21} + 768 T^{22} + 8192 T^{24} - 20480 T^{26} + 16384 T^{28} \))(\( 1 - 3 T^{2} + 13 T^{6} - 6 T^{7} - 27 T^{8} + 6 T^{9} + 28 T^{10} + 72 T^{11} + 16 T^{12} - 228 T^{13} - 108 T^{14} + 192 T^{15} + 232 T^{16} + 384 T^{17} - 432 T^{18} - 1824 T^{19} + 256 T^{20} + 2304 T^{21} + 1792 T^{22} + 768 T^{23} - 6912 T^{24} - 3072 T^{25} + 13312 T^{26} - 49152 T^{30} + 65536 T^{32} \))(\( 1 - 2 T^{2} + 2 T^{4} - 2 T^{5} + 10 T^{6} - 4 T^{7} - 18 T^{8} + 28 T^{9} + 6 T^{10} - 70 T^{11} + 89 T^{12} + 52 T^{13} - 80 T^{14} + 104 T^{15} - 304 T^{16} - 160 T^{17} + 1184 T^{18} - 320 T^{19} - 1216 T^{20} + 832 T^{21} - 1280 T^{22} + 1664 T^{23} + 5696 T^{24} - 8960 T^{25} + 1536 T^{26} + 14336 T^{27} - 18432 T^{28} - 8192 T^{29} + 40960 T^{30} - 16384 T^{31} + 32768 T^{32} - 131072 T^{34} + 262144 T^{36} \))(\( 1 - 4 T^{2} + 8 T^{4} - 2 T^{5} - 18 T^{6} + 4 T^{7} + 28 T^{8} + 8 T^{9} + 4 T^{10} - 38 T^{11} - 7 T^{12} + 140 T^{13} - 96 T^{14} - 440 T^{15} - 8 T^{16} + 616 T^{17} - 272 T^{18} - 256 T^{19} + 1680 T^{20} - 512 T^{21} - 1088 T^{22} + 4928 T^{23} - 128 T^{24} - 14080 T^{25} - 6144 T^{26} + 17920 T^{27} - 1792 T^{28} - 19456 T^{29} + 4096 T^{30} + 16384 T^{31} + 114688 T^{32} + 32768 T^{33} - 294912 T^{34} - 65536 T^{35} + 524288 T^{36} - 1048576 T^{38} + 1048576 T^{40} \))
$3$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{10} \))(\( ( 1 + T^{2} )^{10} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{5} \))(\( ( 1 + T + T^{2} )^{6} \))(\( ( 1 - T + T^{2} )^{7} \))(\( ( 1 + T + T^{2} )^{8} \))(\( ( 1 - T + T^{2} )^{9} \))(\( ( 1 + T + T^{2} )^{10} \))
$5$ (\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{5} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 - 2 T + 3 T^{2} - 12 T^{3} + 15 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 3 T^{2} - 12 T^{3} + 15 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 + 2 T - 4 T^{2} - 22 T^{3} - 38 T^{4} + 30 T^{5} + 194 T^{6} - 10 T^{7} - 411 T^{8} + 544 T^{9} + 3812 T^{10} + 2720 T^{11} - 10275 T^{12} - 1250 T^{13} + 121250 T^{14} + 93750 T^{15} - 593750 T^{16} - 1718750 T^{17} - 1562500 T^{18} + 3906250 T^{19} + 9765625 T^{20} \))(\( 1 + 2 T + 4 T^{2} + 26 T^{3} + 34 T^{4} + 126 T^{5} + 402 T^{6} + 438 T^{7} + 1757 T^{8} + 4496 T^{9} + 6708 T^{10} + 22480 T^{11} + 43925 T^{12} + 54750 T^{13} + 251250 T^{14} + 393750 T^{15} + 531250 T^{16} + 2031250 T^{17} + 1562500 T^{18} + 3906250 T^{19} + 9765625 T^{20} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{5} \))(\( ( 1 - T + T^{2} )^{6} \))(\( ( 1 + T + T^{2} )^{7} \))(\( ( 1 - T + T^{2} )^{8} \))(\( ( 1 - T + T^{2} )^{9} \))(\( ( 1 + T + T^{2} )^{10} \))
$7$ (\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{10} \))(\( ( 1 + T^{2} )^{10} \))(\( 1 - 34 T^{4} + 2401 T^{8} \))(\( 1 - 94 T^{4} + 2401 T^{8} \))(\( 1 - 4 T^{4} - 314 T^{8} - 9604 T^{12} + 5764801 T^{16} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( ( 1 - T + 7 T^{2} )^{2} \))(\( 1 - T - 6 T^{2} + 13 T^{3} + 29 T^{4} - 228 T^{5} + 203 T^{6} + 637 T^{7} - 2058 T^{8} - 2401 T^{9} + 16807 T^{10} \))(\( 1 + 2 T + 2 T^{2} - 12 T^{3} - 26 T^{4} - 50 T^{5} - 230 T^{6} - 350 T^{7} - 1274 T^{8} - 4116 T^{9} + 4802 T^{10} + 33614 T^{11} + 117649 T^{12} \))(\( 1 + T + 4 T^{2} - 3 T^{3} - 18 T^{4} - 105 T^{5} + 19 T^{6} - 1082 T^{7} + 133 T^{8} - 5145 T^{9} - 6174 T^{10} - 7203 T^{11} + 67228 T^{12} + 117649 T^{13} + 823543 T^{14} \))(\( 1 + 10 T^{2} - 12 T^{3} + 61 T^{4} - 180 T^{5} + 526 T^{6} - 1896 T^{7} + 3364 T^{8} - 13272 T^{9} + 25774 T^{10} - 61740 T^{11} + 146461 T^{12} - 201684 T^{13} + 1176490 T^{14} + 5764801 T^{16} \))(\( 1 - 3 T + 2 T^{2} - 21 T^{3} + 99 T^{4} + 58 T^{5} - 529 T^{6} + 149 T^{7} - 3659 T^{8} + 23346 T^{9} - 25613 T^{10} + 7301 T^{11} - 181447 T^{12} + 139258 T^{13} + 1663893 T^{14} - 2470629 T^{15} + 1647086 T^{16} - 17294403 T^{17} + 40353607 T^{18} \))(\( 1 + 4 T - 4 T^{2} - 16 T^{3} + 94 T^{4} + 84 T^{5} - 1254 T^{6} - 1068 T^{7} + 8945 T^{8} + 4428 T^{9} - 53580 T^{10} + 30996 T^{11} + 438305 T^{12} - 366324 T^{13} - 3010854 T^{14} + 1411788 T^{15} + 11059006 T^{16} - 13176688 T^{17} - 23059204 T^{18} + 161414428 T^{19} + 282475249 T^{20} \))
$11$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{20} \))(\( ( 1 - T )^{20} \))(\( ( 1 + 11 T^{2} )^{4} \))(\( ( 1 + 6 T + 11 T^{2} )^{4} \))(\( ( 1 - 4 T + 6 T^{2} - 44 T^{3} + 121 T^{4} )^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{5} \))(\( ( 1 + T + T^{2} )^{6} \))(\( ( 1 + T + T^{2} )^{7} \))(\( ( 1 - T + T^{2} )^{8} \))(\( ( 1 - T + T^{2} )^{9} \))(\( ( 1 + T + T^{2} )^{10} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 28 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 2 T - 26 T^{3} + 169 T^{4} \))(\( 1 - 8 T + 53 T^{2} - 204 T^{3} + 689 T^{4} - 1352 T^{5} + 2197 T^{6} \))(\( 1 - 8 T + 53 T^{2} - 204 T^{3} + 689 T^{4} - 1352 T^{5} + 2197 T^{6} \))(\( 1 - 8 T + 50 T^{2} - 240 T^{3} + 1002 T^{4} - 3120 T^{5} + 8450 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 38 T^{2} - 132 T^{3} + 642 T^{4} - 1716 T^{5} + 6422 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 55 T^{2} - 252 T^{3} + 1260 T^{4} - 4632 T^{5} + 16380 T^{6} - 42588 T^{7} + 120835 T^{8} - 228488 T^{9} + 371293 T^{10} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( ( 1 - 13 T^{2} )^{2} \))(\( 1 - 66 T^{2} + 1931 T^{4} - 32288 T^{6} + 326339 T^{8} - 1885026 T^{10} + 4826809 T^{12} \))(\( 1 - 50 T^{2} + 1243 T^{4} - 19712 T^{6} + 210067 T^{8} - 1428050 T^{10} + 4826809 T^{12} \))(\( 1 - 76 T^{2} + 3016 T^{4} - 84092 T^{6} + 1823558 T^{8} - 31925088 T^{10} + 456227726 T^{12} - 5292844156 T^{14} + 49221283041 T^{16} - 383795453276 T^{18} + 3610174593988 T^{20} - 64861431603644 T^{22} + 1405809064934001 T^{24} - 25547547807778204 T^{26} + 372158971870170446 T^{28} - 4401144483826607712 T^{30} + 42485409509781207398 T^{32} - \)\(33\!\cdots\!88\)\( T^{34} + \)\(20\!\cdots\!56\)\( T^{36} - \)\(85\!\cdots\!04\)\( T^{38} + \)\(19\!\cdots\!01\)\( T^{40} \))(\( 1 - 108 T^{2} + 5944 T^{4} - 219580 T^{6} + 6036678 T^{8} - 129984768 T^{10} + 2257177886 T^{12} - 32314565340 T^{14} + 394348032353 T^{16} - 4437894622204 T^{18} + 53274540958148 T^{20} - 750004191152476 T^{22} + 11262974152034033 T^{24} - 155976234814200060 T^{26} + 1841249344372035806 T^{28} - 17919504079822156032 T^{30} + \)\(14\!\cdots\!18\)\( T^{32} - \)\(86\!\cdots\!20\)\( T^{34} + \)\(39\!\cdots\!04\)\( T^{36} - \)\(12\!\cdots\!32\)\( T^{38} + \)\(19\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 13 T^{2} )^{8} \))(\( ( 1 + 8 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 20 T^{2} + 116 T^{4} + 3340 T^{6} + 82486 T^{8} + 564460 T^{10} + 3313076 T^{12} + 96536180 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( 1 - 8 T^{2} + 66 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( 1 - 8 T^{2} + 66 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} + 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - T + 36 T^{2} - 27 T^{3} + 751 T^{4} - 480 T^{5} + 9763 T^{6} - 4563 T^{7} + 79092 T^{8} - 28561 T^{9} + 371293 T^{10} )^{2} \))(\( ( 1 + 4 T + 36 T^{2} + 100 T^{3} + 388 T^{4} + 540 T^{5} + 2310 T^{6} + 7020 T^{7} + 65572 T^{8} + 219700 T^{9} + 1028196 T^{10} + 1485172 T^{11} + 4826809 T^{12} )^{2} \))(\( ( 1 + 7 T + 70 T^{2} + 315 T^{3} + 2019 T^{4} + 7138 T^{5} + 36195 T^{6} + 107079 T^{7} + 470535 T^{8} + 1206322 T^{9} + 4435743 T^{10} + 8996715 T^{11} + 25990510 T^{12} + 33787663 T^{13} + 62748517 T^{14} )^{2} \))(\( ( 1 - 4 T + 34 T^{2} - 128 T^{3} + 592 T^{4} - 1292 T^{5} + 5412 T^{6} - 7172 T^{7} + 32897 T^{8} - 93236 T^{9} + 914628 T^{10} - 2838524 T^{11} + 16908112 T^{12} - 47525504 T^{13} + 164111506 T^{14} - 250994068 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 + 7 T + 72 T^{2} + 417 T^{3} + 2696 T^{4} + 13043 T^{5} + 66975 T^{6} + 275478 T^{7} + 1177240 T^{8} + 4186358 T^{9} + 15304120 T^{10} + 46555782 T^{11} + 147144075 T^{12} + 372521123 T^{13} + 1001005928 T^{14} + 2012779353 T^{15} + 4517893224 T^{16} + 5710115047 T^{17} + 10604499373 T^{18} )^{2} \))(\( ( 1 - 4 T + 44 T^{2} - 72 T^{3} + 677 T^{4} + 372 T^{5} + 8970 T^{6} + 15776 T^{7} + 141345 T^{8} + 279724 T^{9} + 1845278 T^{10} + 3636412 T^{11} + 23887305 T^{12} + 34659872 T^{13} + 256192170 T^{14} + 138120996 T^{15} + 3267749693 T^{16} - 4517893224 T^{17} + 35892151724 T^{18} - 42417997492 T^{19} + 137858491849 T^{20} )^{2} \))
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 3 T + 32 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 27 T^{2} - 34 T^{3} + 289 T^{4} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( 1 + 6 T + 31 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 12 T + 92 T^{2} - 442 T^{3} + 1564 T^{4} - 3468 T^{5} + 4913 T^{6} \))(\( 1 - 8 T + 56 T^{2} - 226 T^{3} + 952 T^{4} - 2312 T^{5} + 4913 T^{6} \))(\( ( 1 + T + 24 T^{2} + 17 T^{3} + 289 T^{4} )^{2} \))(\( 1 - 6 T + 57 T^{2} - 302 T^{3} + 1364 T^{4} - 5134 T^{5} + 16473 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 + 22 T^{2} + 70 T^{3} + 57 T^{4} + 1876 T^{5} + 969 T^{6} + 20230 T^{7} + 108086 T^{8} + 1419857 T^{10} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 - 91 T^{2} + 3614 T^{4} - 80103 T^{6} + 1044446 T^{8} - 7600411 T^{10} + 24137569 T^{12} \))(\( 1 - 83 T^{2} + 3150 T^{4} - 68783 T^{6} + 910350 T^{8} - 6932243 T^{10} + 24137569 T^{12} \))(\( 1 - 125 T^{2} + 8183 T^{4} - 379280 T^{6} + 14024259 T^{8} - 437409389 T^{10} + 11869036496 T^{12} - 285904405719 T^{14} + 6190841630620 T^{16} - 121353224519439 T^{18} + 2162205885093682 T^{20} - 35071081886117871 T^{22} + 517065283831013020 T^{24} - 6901037320446357111 T^{26} + 82795519654472566736 T^{28} - \)\(88\!\cdots\!61\)\( T^{30} + \)\(81\!\cdots\!99\)\( T^{32} - \)\(63\!\cdots\!20\)\( T^{34} + \)\(39\!\cdots\!23\)\( T^{36} - \)\(17\!\cdots\!25\)\( T^{38} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 - 149 T^{2} + 11639 T^{4} - 631904 T^{6} + 26638931 T^{8} - 923975797 T^{10} + 27284514928 T^{12} - 700708863983 T^{14} + 15863803860108 T^{16} - 319282468644871 T^{18} + 5739174583030002 T^{20} - 92272633438367719 T^{22} + 1324960762200080268 T^{24} - 16913408553301277327 T^{26} + \)\(19\!\cdots\!48\)\( T^{28} - \)\(18\!\cdots\!53\)\( T^{30} + \)\(15\!\cdots\!91\)\( T^{32} - \)\(10\!\cdots\!16\)\( T^{34} + \)\(56\!\cdots\!59\)\( T^{36} - \)\(20\!\cdots\!41\)\( T^{38} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 17 T^{2} + 576 T^{4} + 4913 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 62 T^{2} + 2165 T^{4} + 53542 T^{6} + 1011484 T^{8} + 15473638 T^{10} + 180822965 T^{12} + 1496529278 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 8 T + 42 T^{2} - 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 8 T + 42 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 22 T^{2} + 64 T^{3} + 387 T^{4} + 1088 T^{5} + 6358 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 - 72 T^{2} + 4 T^{3} + 2921 T^{4} - 188 T^{5} - 85990 T^{6} + 1232 T^{7} + 1997433 T^{8} + 12696 T^{9} - 37540966 T^{10} + 215832 T^{11} + 577258137 T^{12} + 6052816 T^{13} - 7181970790 T^{14} - 266933116 T^{15} + 70505839049 T^{16} + 1641354692 T^{17} - 502254535752 T^{18} + 2015993900449 T^{20} \))(\( 1 + 2 T - 45 T^{2} - 258 T^{3} + 714 T^{4} + 9298 T^{5} + 5077 T^{6} - 190570 T^{7} - 497192 T^{8} + 2814554 T^{9} + 15262439 T^{10} - 20493114 T^{11} - 315019920 T^{12} - 348382938 T^{13} + 4410844871 T^{14} + 13827903802 T^{15} - 41525973032 T^{16} - 270582148490 T^{17} + 122546437813 T^{18} + 3815328981554 T^{19} + 4980690812874 T^{20} - 30595672136226 T^{21} - 90719725520205 T^{22} + 68543792615266 T^{23} + 582622237229761 T^{24} \))(\( 1 - 6 T + 5 T^{2} - 178 T^{3} + 780 T^{4} + 1094 T^{5} + 19511 T^{6} - 91826 T^{7} - 89615 T^{8} - 2522336 T^{9} + 11046270 T^{10} + 7436552 T^{11} + 195276085 T^{12} - 772751578 T^{13} - 1093710869 T^{14} - 13136776826 T^{15} + 56434788565 T^{16} + 36535779976 T^{17} + 922595516670 T^{18} - 3581356425952 T^{19} - 2163088245935 T^{20} - 37679758986898 T^{21} + 136104003431351 T^{22} + 129735136887718 T^{23} + 1572475242350220 T^{24} - 6100397542758674 T^{25} + 2913111186148805 T^{26} - 59427468197435622 T^{27} + 168377826559400929 T^{28} \))(\( 1 + 4 T - 44 T^{2} - 296 T^{3} + 204 T^{4} + 6964 T^{5} + 18392 T^{6} - 39796 T^{7} - 258310 T^{8} - 430016 T^{9} - 2372660 T^{10} - 6134996 T^{11} + 58413552 T^{12} + 327536092 T^{13} + 240561132 T^{14} - 2748145248 T^{15} - 15344821805 T^{16} - 46718469216 T^{17} + 69522167148 T^{18} + 1609184819996 T^{19} + 4878758276592 T^{20} - 8710817015572 T^{21} - 57270244463540 T^{22} - 176452194808768 T^{23} - 1801907904584710 T^{24} - 4719323133074612 T^{25} + 37078159817058008 T^{26} + 238669485886356212 T^{27} + 118854936394871244 T^{28} - 2931755097740157352 T^{29} - 7408624368613640876 T^{30} + 11449692206039263172 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 10 T - 16 T^{2} + 424 T^{3} - 301 T^{4} - 6468 T^{5} - 5286 T^{6} + 46874 T^{7} + 776566 T^{8} - 1560550 T^{9} - 15678514 T^{10} + 33432068 T^{11} + 78018792 T^{12} + 145728630 T^{13} + 987042556 T^{14} - 14217047858 T^{15} - 4939433495 T^{16} + 133608679034 T^{17} - 123643912058 T^{18} + 2271347543578 T^{19} - 1427496280055 T^{20} - 69848356126354 T^{21} + 82438781319676 T^{22} + 206913815405910 T^{23} + 1883183975196648 T^{24} + 13718470418765764 T^{25} - 109369510699322674 T^{26} - 185062310667393350 T^{27} + 1565552319296078134 T^{28} + 1606460867523989242 T^{29} - 3079741145996516646 T^{30} - 64062810716835600516 T^{31} - 50681725794379679629 T^{32} + \)\(12\!\cdots\!32\)\( T^{33} - \)\(77\!\cdots\!96\)\( T^{34} - \)\(82\!\cdots\!70\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 + 12 T - 9 T^{2} - 616 T^{3} - 1088 T^{4} + 14188 T^{5} + 29027 T^{6} - 254524 T^{7} - 241069 T^{8} + 4575852 T^{9} - 4062590 T^{10} - 79095092 T^{11} + 245145108 T^{12} + 1452667696 T^{13} - 6011448250 T^{14} - 22824309820 T^{15} + 111303796269 T^{16} + 220055237472 T^{17} - 2188315361419 T^{18} - 969625062040 T^{19} + 40884725875548 T^{20} - 16483626054680 T^{21} - 632423139450091 T^{22} + 1081131381699936 T^{23} + 9296204368183149 T^{24} - 32407256068095740 T^{25} - 145101746924304250 T^{26} + 596085734686607408 T^{27} + 1710072811255748628 T^{28} - 9379719001614852724 T^{29} - 8190156660025102910 T^{30} + \)\(15\!\cdots\!16\)\( T^{31} - \)\(14\!\cdots\!09\)\( T^{32} - \)\(25\!\cdots\!88\)\( T^{33} + \)\(48\!\cdots\!83\)\( T^{34} + \)\(40\!\cdots\!84\)\( T^{35} - \)\(52\!\cdots\!28\)\( T^{36} - \)\(50\!\cdots\!32\)\( T^{37} - \)\(12\!\cdots\!81\)\( T^{38} + \)\(28\!\cdots\!36\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))
$19$ (\( 1 - T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + T + 34 T^{2} + 19 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 31 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( 1 + 10 T + 51 T^{2} + 190 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 26 T^{2} - 120 T^{3} + 494 T^{4} - 722 T^{5} + 6859 T^{6} \))(\( 1 + 2 T + 26 T^{2} + 120 T^{3} + 494 T^{4} + 722 T^{5} + 6859 T^{6} \))(\( 1 - 10 T + 37 T^{2} + 78 T^{3} - 916 T^{4} + 1482 T^{5} + 13357 T^{6} - 68590 T^{7} + 130321 T^{8} \))(\( 1 + 6 T + 77 T^{2} + 318 T^{3} + 2188 T^{4} + 6042 T^{5} + 27797 T^{6} + 41154 T^{7} + 130321 T^{8} \))(\( 1 - 6 T + 92 T^{2} - 412 T^{3} + 3439 T^{4} - 11388 T^{5} + 65341 T^{6} - 148732 T^{7} + 631028 T^{8} - 781926 T^{9} + 2476099 T^{10} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + T + 44 T^{2} + 33 T^{3} + 836 T^{4} + 361 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 - 9 T + 68 T^{2} - 337 T^{3} + 1292 T^{4} - 3249 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 - T + 67 T^{2} - 28 T^{3} + 2388 T^{4} - 404 T^{5} + 64277 T^{6} + 16491 T^{7} + 1449423 T^{8} + 928264 T^{9} + 29194968 T^{10} + 17637016 T^{11} + 523241703 T^{12} + 113111769 T^{13} + 8376642917 T^{14} - 1000343996 T^{15} + 112345563828 T^{16} - 25028408692 T^{17} + 1137898723747 T^{18} - 322687697779 T^{19} + 6131066257801 T^{20} )^{2} \))(\( ( 1 + 17 T + 219 T^{2} + 1940 T^{3} + 15300 T^{4} + 101292 T^{5} + 632573 T^{6} + 3500645 T^{7} + 18436271 T^{8} + 87566008 T^{9} + 399711704 T^{10} + 1663754152 T^{11} + 6655493831 T^{12} + 24010924055 T^{13} + 82437545933 T^{14} + 250809019908 T^{15} + 719801979300 T^{16} + 1734111173660 T^{17} + 3719400305979 T^{18} + 5485690862243 T^{19} + 6131066257801 T^{20} )^{2} \))(\( ( 1 - 3 T^{2} + 320 T^{4} - 1083 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 60 T^{2} + 1574 T^{4} + 21660 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 78 T^{2} + 3413 T^{4} + 101206 T^{6} + 2229420 T^{8} + 36535366 T^{10} + 444785573 T^{12} + 3669578718 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 52 T^{2} + 1270 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( 1 - 38 T^{2} + 1011 T^{4} - 13718 T^{6} + 130321 T^{8} \))(\( 1 - 38 T^{2} + 1011 T^{4} - 13718 T^{6} + 130321 T^{8} \))(\( 1 - 52 T^{2} + 1270 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + T + 19 T^{2} ) \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 18 T^{2} - 16 T^{3} + 491 T^{4} - 304 T^{5} - 6498 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 + 10 T + 10 T^{2} - 84 T^{3} + 671 T^{4} + 4840 T^{5} + 4196 T^{6} - 44450 T^{7} - 344459 T^{8} - 409844 T^{9} + 3963558 T^{10} - 7787036 T^{11} - 124349699 T^{12} - 304882550 T^{13} + 546826916 T^{14} + 11984319160 T^{15} + 31567786151 T^{16} - 75085226076 T^{17} + 169835630410 T^{18} + 3226876977790 T^{19} + 6131066257801 T^{20} \))(\( 1 - 13 T - 2 T^{2} + 425 T^{3} + 2274 T^{4} - 24713 T^{5} - 68476 T^{6} + 468587 T^{7} + 3910070 T^{8} - 12089699 T^{9} - 90260102 T^{10} + 32598663 T^{11} + 2388400614 T^{12} + 619374597 T^{13} - 32583896822 T^{14} - 82923245441 T^{15} + 509564232470 T^{16} + 1160267802113 T^{17} - 3221513747356 T^{18} - 22090252285907 T^{19} + 38620622355234 T^{20} + 137142271556075 T^{21} - 12262132515602 T^{22} - 1514373365676847 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 8 T - 49 T^{2} + 472 T^{3} + 1504 T^{4} - 13592 T^{5} - 56991 T^{6} + 316120 T^{7} + 1937885 T^{8} - 6364704 T^{9} - 51994078 T^{10} + 83112896 T^{11} + 1257000753 T^{12} - 474556312 T^{13} - 26545191563 T^{14} - 9016569928 T^{15} + 453777271833 T^{16} + 570071353664 T^{17} - 6775920239038 T^{18} - 15759637209696 T^{19} + 91169507101685 T^{20} + 282570734132680 T^{21} - 967910241269631 T^{22} - 4385971188212168 T^{23} + 9221123651732704 T^{24} + 54983402199959368 T^{25} - 108452431034241889 T^{26} - 336423867698056472 T^{27} + 799006685782884121 T^{28} \))(\( 1 + 9 T + 17 T^{2} + 14 T^{3} + 67 T^{4} - 5455 T^{5} - 33984 T^{6} + 7437 T^{7} + 294811 T^{8} + 408332 T^{9} + 10377613 T^{10} + 48803393 T^{11} - 131747886 T^{12} - 844924049 T^{13} + 785639713 T^{14} - 429906628 T^{15} - 52424133768 T^{16} - 8168225932 T^{17} + 283615936393 T^{18} - 5795334052091 T^{19} - 17169516251406 T^{20} + 120842032603907 T^{21} + 488223946262053 T^{22} + 364996434929348 T^{23} + 5006941203680251 T^{24} + 2399828408382423 T^{25} - 208358155705109184 T^{26} - 635454362289784645 T^{27} + 148292099577432787 T^{28} + 588741768471598826 T^{29} + 13583113658309030057 T^{30} + \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 8 T - 54 T^{2} + 692 T^{3} + 353 T^{4} - 26144 T^{5} + 35432 T^{6} + 672964 T^{7} - 1408954 T^{8} - 16626732 T^{9} + 47840236 T^{10} + 375107320 T^{11} - 1575417066 T^{12} - 6300238132 T^{13} + 40428721456 T^{14} + 76105312212 T^{15} - 865343452465 T^{16} - 496866664672 T^{17} + 17038663076758 T^{18} - 9440466628768 T^{19} - 312388986339865 T^{20} + 522006336462108 T^{21} + 5268711408867376 T^{22} - 15600013338407068 T^{23} - 74116883812405146 T^{24} + 335297832440029480 T^{25} + 812497664002317676 T^{26} - 5365241870668428228 T^{27} - 8638390328193750154 T^{28} + 78393750589181051116 T^{29} + 78422174212352216552 T^{30} - \)\(10\!\cdots\!96\)\( T^{31} + \)\(28\!\cdots\!13\)\( T^{32} + \)\(10\!\cdots\!08\)\( T^{33} - \)\(15\!\cdots\!74\)\( T^{34} - \)\(43\!\cdots\!12\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} \))(\( 1 + 9 T - 32 T^{2} - 287 T^{3} + 1354 T^{4} + 759 T^{5} - 64276 T^{6} + 36235 T^{7} + 1163851 T^{8} - 1306742 T^{9} - 6937928 T^{10} + 77002658 T^{11} + 223211552 T^{12} - 1052608830 T^{13} - 4602192444 T^{14} - 6063145426 T^{15} - 24830752643 T^{16} - 8821446645 T^{17} - 910874870460 T^{18} + 2700478168431 T^{19} + 62587830425106 T^{20} + 51309085200189 T^{21} - 328825828236060 T^{22} - 60506302538055 T^{23} - 3235968515188403 T^{24} - 15012948326173174 T^{25} - 216514198059523164 T^{26} - 940897285358855370 T^{27} + 3790927464871449632 T^{28} + 24847810432883696582 T^{29} - 42536896259852776328 T^{30} - \)\(15\!\cdots\!98\)\( T^{31} + \)\(25\!\cdots\!11\)\( T^{32} + \)\(15\!\cdots\!65\)\( T^{33} - \)\(51\!\cdots\!96\)\( T^{34} + \)\(11\!\cdots\!41\)\( T^{35} + \)\(39\!\cdots\!74\)\( T^{36} - \)\(15\!\cdots\!93\)\( T^{37} - \)\(33\!\cdots\!12\)\( T^{38} + \)\(17\!\cdots\!11\)\( T^{39} + \)\(37\!\cdots\!01\)\( T^{40} \))
$23$ (\( 1 + 7 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 7 T + 54 T^{2} + 161 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 39 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 31 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 10 T + 59 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 54 T^{2} - 60 T^{3} + 1242 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 74 T^{2} + 268 T^{3} + 1702 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + 2 T + 21 T^{2} - 98 T^{3} - 108 T^{4} - 2254 T^{5} + 11109 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 53 T^{2} - 242 T^{3} + 1252 T^{4} - 5566 T^{5} + 28037 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 68 T^{2} + 260 T^{3} + 2175 T^{4} + 9652 T^{5} + 50025 T^{6} + 137540 T^{7} + 827356 T^{8} + 559682 T^{9} + 6436343 T^{10} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 - 119 T^{2} + 6294 T^{4} - 187787 T^{6} + 3329526 T^{8} - 33301079 T^{10} + 148035889 T^{12} \))(\( 1 - 111 T^{2} + 5558 T^{4} - 162563 T^{6} + 2940182 T^{8} - 31062351 T^{10} + 148035889 T^{12} \))(\( 1 - 141 T^{2} + 10587 T^{4} - 559880 T^{6} + 23898567 T^{8} - 889773365 T^{10} + 29999892104 T^{12} - 922885123935 T^{14} + 25903837523960 T^{16} - 666701419393415 T^{18} + 15893936460155130 T^{20} - 352685050859116535 T^{22} + 7248955796542490360 T^{24} - \)\(13\!\cdots\!15\)\( T^{26} + \)\(23\!\cdots\!24\)\( T^{28} - \)\(36\!\cdots\!85\)\( T^{30} + \)\(52\!\cdots\!07\)\( T^{32} - \)\(64\!\cdots\!20\)\( T^{34} + \)\(64\!\cdots\!07\)\( T^{36} - \)\(45\!\cdots\!29\)\( T^{38} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 - 149 T^{2} + 11627 T^{4} - 634984 T^{6} + 27788887 T^{8} - 1051120093 T^{10} + 35693788136 T^{12} - 1101953725015 T^{14} + 31049241038440 T^{16} - 802588589114367 T^{18} + 19170409876986906 T^{20} - 424569363641500143 T^{22} + 8688850661438088040 T^{24} - \)\(16\!\cdots\!35\)\( T^{26} + \)\(27\!\cdots\!16\)\( T^{28} - \)\(43\!\cdots\!57\)\( T^{30} + \)\(60\!\cdots\!27\)\( T^{32} - \)\(73\!\cdots\!56\)\( T^{34} + \)\(71\!\cdots\!47\)\( T^{36} - \)\(48\!\cdots\!81\)\( T^{38} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( ( 1 - T - 28 T^{2} - 23 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{8} \))(\( ( 1 - 10 T + 117 T^{2} - 690 T^{3} + 4304 T^{4} - 15870 T^{5} + 61893 T^{6} - 121670 T^{7} + 279841 T^{8} )^{4} \))(\( 1 - 68 T^{2} + 2086 T^{4} - 35972 T^{6} + 279841 T^{8} \))(\( 1 - 38 T^{2} + 771 T^{4} - 20102 T^{6} + 279841 T^{8} \))(\( 1 - 38 T^{2} + 771 T^{4} - 20102 T^{6} + 279841 T^{8} \))(\( 1 - 68 T^{2} + 2086 T^{4} - 35972 T^{6} + 279841 T^{8} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 41 T^{2} + 2 T^{3} + 1404 T^{4} + 46 T^{5} - 21689 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 + 9 T + 26 T^{2} + 51 T^{3} - 226 T^{4} - 4685 T^{5} - 12924 T^{6} + 32485 T^{7} + 173365 T^{8} + 1739708 T^{9} + 14349724 T^{10} + 40013284 T^{11} + 91710085 T^{12} + 395244995 T^{13} - 3616665084 T^{14} - 30154266955 T^{15} - 33456110914 T^{16} + 173646097797 T^{17} + 2036085617306 T^{18} + 16210373953167 T^{19} + 41426511213649 T^{20} \))(\( 1 - 7 T - 89 T^{2} + 492 T^{3} + 6109 T^{4} - 22781 T^{5} - 294956 T^{6} + 672475 T^{7} + 11316155 T^{8} - 13665740 T^{9} - 346634839 T^{10} + 123561001 T^{11} + 8768342214 T^{12} + 2841903023 T^{13} - 183369829831 T^{14} - 166271058580 T^{15} + 3166724131355 T^{16} + 4328279758925 T^{17} - 43664073675884 T^{18} - 77565328508107 T^{19} + 478401809081629 T^{20} + 886167109439796 T^{21} - 3686959498014761 T^{22} - 6669668305397489 T^{23} + 21914624432020321 T^{24} \))(\( 1 - T - 101 T^{2} - 60 T^{3} + 5275 T^{4} + 9167 T^{5} - 188844 T^{6} - 442005 T^{7} + 5342634 T^{8} + 13030219 T^{9} - 128024260 T^{10} - 268865569 T^{11} + 2793151208 T^{12} + 2584181533 T^{13} - 61643813254 T^{14} + 59436175259 T^{15} + 1477576989032 T^{16} - 3271287378023 T^{17} - 35826436942660 T^{18} + 83866958849117 T^{19} + 790901573791626 T^{20} - 1504949871701235 T^{21} - 14788559704405164 T^{22} + 16511166447631321 T^{23} + 218524846651998475 T^{24} - 57168585474835620 T^{25} - 2213377067634052421 T^{26} - 504036361936467383 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 5 T - 100 T^{2} + 219 T^{3} + 6507 T^{4} + 526 T^{5} - 283194 T^{6} - 460026 T^{7} + 8890681 T^{8} + 23986537 T^{9} - 210766226 T^{10} - 740813607 T^{11} + 4048636382 T^{12} + 14731572451 T^{13} - 69259399302 T^{14} - 133778914533 T^{15} + 1346074178338 T^{16} - 3076915034259 T^{17} - 36638222230758 T^{18} + 179239042011317 T^{19} + 1132974453775262 T^{20} - 4768130473719201 T^{21} - 31200965637084914 T^{22} + 81669971563007039 T^{23} + 696237988929066361 T^{24} - 828577054242178038 T^{25} - 11731739416638114906 T^{26} + 501177932662725602 T^{27} + \)\(14\!\cdots\!47\)\( T^{28} + \)\(11\!\cdots\!77\)\( T^{29} - \)\(11\!\cdots\!00\)\( T^{30} - \)\(13\!\cdots\!35\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - T - 98 T^{2} + 309 T^{3} + 4186 T^{4} - 24933 T^{5} - 108670 T^{6} + 1091413 T^{7} + 1920114 T^{8} - 37234781 T^{9} - 3054394 T^{10} + 1114709201 T^{11} - 1934222513 T^{12} - 26190709910 T^{13} + 103116495452 T^{14} + 431478214694 T^{15} - 3273782265132 T^{16} - 3519178630702 T^{17} + 80974946457916 T^{18} - 80941108506146 T^{19} - 1731830818254828 T^{20} + 5249795438181898 T^{21} + 28856223203783132 T^{22} - 168572392394259130 T^{23} - 286334349235769057 T^{24} + 3795390253569837847 T^{25} - 239192603576374714 T^{26} - 67065524897141944603 T^{27} + 79543624152484435986 T^{28} + \)\(10\!\cdots\!51\)\( T^{29} - \)\(23\!\cdots\!70\)\( T^{30} - \)\(12\!\cdots\!39\)\( T^{31} + \)\(48\!\cdots\!74\)\( T^{32} + \)\(82\!\cdots\!63\)\( T^{33} - \)\(60\!\cdots\!78\)\( T^{34} - \)\(14\!\cdots\!03\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - T - 61 T^{2} + 220 T^{3} + 1945 T^{4} - 8397 T^{5} + 23266 T^{6} + 53393 T^{7} - 2667490 T^{8} + 13591635 T^{9} + 80554946 T^{10} - 519880319 T^{11} + 211759319 T^{12} + 5769185954 T^{13} - 49053623379 T^{14} + 325579810477 T^{15} + 1143883179695 T^{16} - 12760364631226 T^{17} + 11320333461052 T^{18} + 162468081342490 T^{19} - 623617922710140 T^{20} + 3736765870877270 T^{21} + 5988456400896508 T^{22} - 155255356468126742 T^{23} + 320105412889028495 T^{24} + 2095543334104965611 T^{25} - 7261696745581448931 T^{26} + 19643071144654171438 T^{27} + 16583080913323583639 T^{28} - \)\(93\!\cdots\!97\)\( T^{29} + \)\(33\!\cdots\!54\)\( T^{30} + \)\(12\!\cdots\!45\)\( T^{31} - \)\(58\!\cdots\!90\)\( T^{32} + \)\(26\!\cdots\!19\)\( T^{33} + \)\(26\!\cdots\!94\)\( T^{34} - \)\(22\!\cdots\!79\)\( T^{35} + \)\(11\!\cdots\!45\)\( T^{36} + \)\(31\!\cdots\!60\)\( T^{37} - \)\(19\!\cdots\!09\)\( T^{38} - \)\(74\!\cdots\!87\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))
$29$ (\( 1 - T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 9 T + 40 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 49 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 61 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 71 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 56 T^{2} - 314 T^{3} + 1624 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 - 10 T + 116 T^{2} - 602 T^{3} + 3364 T^{4} - 8410 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 71 T^{2} + 210 T^{3} + 2432 T^{4} + 6090 T^{5} + 59711 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 71 T^{2} - 422 T^{3} + 2720 T^{4} - 12238 T^{5} + 59711 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 58 T^{2} - 142 T^{3} + 1365 T^{4} - 3016 T^{5} + 39585 T^{6} - 119422 T^{7} + 1414562 T^{8} - 4243686 T^{9} + 20511149 T^{10} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 80 T^{2} - 289 T^{3} + 2320 T^{4} - 4205 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 23 T + 260 T^{2} - 1759 T^{3} + 7540 T^{4} - 19343 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 19 T + 285 T^{2} + 2902 T^{3} + 26028 T^{4} + 186854 T^{5} + 1240867 T^{6} + 7049545 T^{7} + 39524327 T^{8} + 202341500 T^{9} + 1112908184 T^{10} + 5867903500 T^{11} + 33239959007 T^{12} + 171931353005 T^{13} + 877641652627 T^{14} + 3832590235246 T^{15} + 15482061398988 T^{16} + 50059141048718 T^{17} + 142570227693885 T^{18} + 275635773541511 T^{19} + 420707233300201 T^{20} )^{2} \))(\( ( 1 + 5 T + 117 T^{2} + 478 T^{3} + 7888 T^{4} + 28558 T^{5} + 387835 T^{6} + 1242511 T^{7} + 14971543 T^{8} + 43150668 T^{9} + 474100176 T^{10} + 1251369372 T^{11} + 12591067663 T^{12} + 30303600779 T^{13} + 274308326635 T^{14} + 585757393142 T^{15} + 4691966356048 T^{16} + 8245440875702 T^{17} + 58528830316437 T^{18} + 72535729879345 T^{19} + 420707233300201 T^{20} )^{2} \))(\( ( 1 - 73 T^{2} + 2808 T^{4} - 61393 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 100 T^{2} + 4134 T^{4} - 84100 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 126 T^{2} + 8965 T^{4} - 422054 T^{6} + 14346764 T^{8} - 354947414 T^{10} + 6340774165 T^{12} - 74947738446 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 9 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 49 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + T + 127 T^{2} + 80 T^{3} + 6853 T^{4} + 2989 T^{5} + 198737 T^{6} + 67280 T^{7} + 3097403 T^{8} + 707281 T^{9} + 20511149 T^{10} )^{2} \))(\( ( 1 - 3 T + 84 T^{2} - 97 T^{3} + 3206 T^{4} - 1287 T^{5} + 98676 T^{6} - 37323 T^{7} + 2696246 T^{8} - 2365733 T^{9} + 59411604 T^{10} - 61533447 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 + 9 T + 140 T^{2} + 517 T^{3} + 4082 T^{4} - 14617 T^{5} - 62555 T^{6} - 1274490 T^{7} - 1814095 T^{8} - 12292897 T^{9} + 99555898 T^{10} + 365664277 T^{11} + 2871560860 T^{12} + 5353409889 T^{13} + 17249876309 T^{14} )^{2} \))(\( ( 1 + 5 T + 49 T^{2} + 16 T^{3} + 1572 T^{4} + 7854 T^{5} + 87575 T^{6} + 168785 T^{7} + 1362070 T^{8} + 4894765 T^{9} + 73650575 T^{10} + 191551206 T^{11} + 1111845732 T^{12} + 328178384 T^{13} + 29146342729 T^{14} + 86249381545 T^{15} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 7 T + 71 T^{2} - 346 T^{3} + 2535 T^{4} - 11223 T^{5} + 95143 T^{6} - 481854 T^{7} + 3804322 T^{8} - 18550484 T^{9} + 110325338 T^{10} - 405239214 T^{11} + 2320442627 T^{12} - 7937814663 T^{13} + 51995762715 T^{14} - 205808869066 T^{15} + 1224741217939 T^{16} - 3501724890727 T^{17} + 14507145975869 T^{18} )^{2} \))(\( ( 1 - 3 T + 128 T^{2} - 271 T^{3} + 7752 T^{4} - 9869 T^{5} + 338624 T^{6} - 327169 T^{7} + 13031831 T^{8} - 14293312 T^{9} + 424332032 T^{10} - 414506048 T^{11} + 10959769871 T^{12} - 7979324741 T^{13} + 239502321344 T^{14} - 202424529481 T^{15} + 4611070384392 T^{16} - 4674716479739 T^{17} + 64031540859008 T^{18} - 43521437927607 T^{19} + 420707233300201 T^{20} )^{2} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 2 T + 46 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 64 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 12 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 + 14 T + 108 T^{2} + 434 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 39 T^{2} - 52 T^{3} + 1209 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 79 T^{2} + 92 T^{3} + 2449 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 - 24 T + 326 T^{2} - 2928 T^{3} + 19090 T^{4} - 90768 T^{5} + 313286 T^{6} - 714984 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 106 T^{2} + 552 T^{3} + 4394 T^{4} + 17112 T^{5} + 101866 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 - 10 T + 145 T^{2} - 1040 T^{3} + 8424 T^{4} - 45388 T^{5} + 261144 T^{6} - 999440 T^{7} + 4319695 T^{8} - 9235210 T^{9} + 28629151 T^{10} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 65 T^{2} + 282 T^{3} + 2015 T^{4} + 7688 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 4 T + 61 T^{2} - 250 T^{3} + 1891 T^{4} - 3844 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 10 T + 222 T^{2} - 1764 T^{3} + 20825 T^{4} - 135630 T^{5} + 1119824 T^{6} - 6212150 T^{7} + 41423910 T^{8} - 210761730 T^{9} + 1303997476 T^{10} - 6533613630 T^{11} + 39808377510 T^{12} - 185066160650 T^{13} + 1034180980304 T^{14} - 3882971750130 T^{15} + 18482264156825 T^{16} - 48532251291804 T^{17} + 189341810311902 T^{18} - 264396221606710 T^{19} + 819628286980801 T^{20} )^{2} \))(\( ( 1 - 6 T + 74 T^{2} - 420 T^{3} + 5569 T^{4} - 26250 T^{5} + 244816 T^{6} - 1152066 T^{7} + 10772798 T^{8} - 42870934 T^{9} + 332523084 T^{10} - 1328998954 T^{11} + 10352658878 T^{12} - 34321198206 T^{13} + 226092717136 T^{14} - 751515213750 T^{15} + 4942507999489 T^{16} - 11555297926620 T^{17} + 63113936770634 T^{18} - 158637732964026 T^{19} + 819628286980801 T^{20} )^{2} \))(\( ( 1 - 56 T^{2} + 2574 T^{4} - 53816 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 4 T^{2} - 1146 T^{4} + 3844 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 148 T^{2} + 10868 T^{4} - 529836 T^{6} + 18939030 T^{8} - 509172396 T^{10} + 10036826228 T^{12} - 131350544788 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 4 T + 58 T^{2} + 124 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 60 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 60 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 4 T + 58 T^{2} + 124 T^{3} + 961 T^{4} )^{2} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 4 T - 42 T^{2} - 16 T^{3} + 1907 T^{4} - 496 T^{5} - 40362 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 + 8 T - 87 T^{2} - 560 T^{3} + 6651 T^{4} + 27604 T^{5} - 341430 T^{6} - 763316 T^{7} + 14208597 T^{8} + 9324996 T^{9} - 485057709 T^{10} + 289074876 T^{11} + 13654461717 T^{12} - 22739946956 T^{13} - 315317775030 T^{14} + 790279084204 T^{15} + 5902786982331 T^{16} - 15407063902160 T^{17} - 74201520257367 T^{18} + 211516977285368 T^{19} + 819628286980801 T^{20} \))(\( 1 - 15 T + 11 T^{2} + 824 T^{3} - 1894 T^{4} - 26302 T^{5} + 28569 T^{6} + 637963 T^{7} + 3361512 T^{8} - 25476537 T^{9} - 133617601 T^{10} + 331679322 T^{11} + 4529012568 T^{12} + 10282058982 T^{13} - 128406514561 T^{14} - 758971513767 T^{15} + 3104426923752 T^{16} + 18264339059413 T^{17} + 25355092662489 T^{18} - 723636776347522 T^{19} - 1615375624913254 T^{20} + 21786248660392904 T^{21} + 9015911156788811 T^{22} - 381127153446072465 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 20 T + 173 T^{2} - 1244 T^{3} + 9765 T^{4} - 51724 T^{5} + 205592 T^{6} - 1690396 T^{7} + 12213308 T^{8} - 62158180 T^{9} + 495241472 T^{10} - 3290525244 T^{11} + 11681985058 T^{12} - 57849106992 T^{13} + 428008473966 T^{14} - 1793322316752 T^{15} + 11226387640738 T^{16} - 98028037544004 T^{17} + 457365899462912 T^{18} - 1779535921105180 T^{19} + 10839355807186748 T^{20} - 46507212842777956 T^{21} + 175347574169570072 T^{22} - 1367563016638546804 T^{23} + 8003670222367521765 T^{24} - 31608145259127609764 T^{25} + \)\(13\!\cdots\!53\)\( T^{26} - \)\(48\!\cdots\!20\)\( T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 + 5 T - 173 T^{2} - 648 T^{3} + 17132 T^{4} + 45508 T^{5} - 1208821 T^{6} - 2305461 T^{7} + 66443205 T^{8} + 91476088 T^{9} - 3057405464 T^{10} - 2976785248 T^{11} + 122940885378 T^{12} + 73106459206 T^{13} - 4429312254246 T^{14} - 866911928780 T^{15} + 144392924753112 T^{16} - 26874269792180 T^{17} - 4256569076330406 T^{18} + 2177914526205946 T^{19} + 113538489405175938 T^{20} - 85222834359564448 T^{21} - 2713458603609512984 T^{22} + 2516746309527877768 T^{23} + 56668814043355038405 T^{24} - 60955517746162724331 T^{25} - \)\(99\!\cdots\!21\)\( T^{26} + \)\(11\!\cdots\!48\)\( T^{27} + \)\(13\!\cdots\!52\)\( T^{28} - \)\(15\!\cdots\!68\)\( T^{29} - \)\(13\!\cdots\!33\)\( T^{30} + \)\(11\!\cdots\!55\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 105 T^{2} - 88 T^{3} + 4170 T^{4} + 10128 T^{5} - 69509 T^{6} - 525264 T^{7} + 379662 T^{8} + 18728344 T^{9} + 1047759 T^{10} - 557093760 T^{11} - 986749109 T^{12} + 12550204416 T^{13} + 58939474818 T^{14} - 195299808784 T^{15} - 604417564608 T^{16} + 1730570842656 T^{17} - 20105664727438 T^{18} + 53647696122336 T^{19} - 580845279588288 T^{20} - 5818176603484144 T^{21} + 54431842723394178 T^{22} + 359301697306530816 T^{23} - 875743466460970229 T^{24} - 15327105642526047360 T^{25} + 893624260498144719 T^{26} + \)\(49\!\cdots\!24\)\( T^{27} + \)\(31\!\cdots\!62\)\( T^{28} - \)\(13\!\cdots\!84\)\( T^{29} - \)\(54\!\cdots\!49\)\( T^{30} + \)\(24\!\cdots\!48\)\( T^{31} + \)\(31\!\cdots\!70\)\( T^{32} - \)\(20\!\cdots\!88\)\( T^{33} - \)\(76\!\cdots\!05\)\( T^{34} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 + 9 T - 95 T^{2} - 754 T^{3} + 6109 T^{4} + 25103 T^{5} - 346998 T^{6} - 329775 T^{7} + 14236950 T^{8} - 21874861 T^{9} - 450340774 T^{10} + 2078534645 T^{11} + 10641324139 T^{12} - 99770636684 T^{13} - 33803801025 T^{14} + 3494920101855 T^{15} - 11284110489673 T^{16} - 85045742952266 T^{17} + 653650858450204 T^{18} + 965142160721586 T^{19} - 23892300774631276 T^{20} + 29919406982369166 T^{21} + 628158474970646044 T^{22} - 2533597728290956406 T^{23} - 10421113003533298633 T^{24} + \)\(10\!\cdots\!05\)\( T^{25} - 30000997841479073025 T^{26} - \)\(27\!\cdots\!24\)\( T^{27} + \)\(90\!\cdots\!99\)\( T^{28} + \)\(54\!\cdots\!95\)\( T^{29} - \)\(36\!\cdots\!74\)\( T^{30} - \)\(55\!\cdots\!91\)\( T^{31} + \)\(11\!\cdots\!50\)\( T^{32} - \)\(80\!\cdots\!25\)\( T^{33} - \)\(26\!\cdots\!58\)\( T^{34} + \)\(58\!\cdots\!53\)\( T^{35} + \)\(44\!\cdots\!29\)\( T^{36} - \)\(17\!\cdots\!94\)\( T^{37} - \)\(66\!\cdots\!95\)\( T^{38} + \)\(19\!\cdots\!39\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 12 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 66 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 60 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 72 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 48 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 109 T^{2} - 292 T^{3} + 4033 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 53 T^{2} - 300 T^{3} + 1961 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 114 T^{2} - 688 T^{3} + 6282 T^{4} - 25456 T^{5} + 156066 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 12 T + 118 T^{2} - 988 T^{3} + 6818 T^{4} - 36556 T^{5} + 161542 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 - 4 T + 71 T^{2} - 204 T^{3} + 1316 T^{4} - 4928 T^{5} + 48692 T^{6} - 279276 T^{7} + 3596363 T^{8} - 7496644 T^{9} + 69343957 T^{10} \))(\( 1 - 58 T^{2} + 1369 T^{4} \))(\( 1 - 58 T^{2} + 1369 T^{4} \))(\( 1 - 210 T^{2} + 18779 T^{4} - 915968 T^{6} + 25708451 T^{8} - 393573810 T^{10} + 2565726409 T^{12} \))(\( 1 - 114 T^{2} + 6267 T^{4} - 249568 T^{6} + 8579523 T^{8} - 213654354 T^{10} + 2565726409 T^{12} \))(\( 1 - 420 T^{2} + 85048 T^{4} - 11129532 T^{6} + 1067670262 T^{8} - 80952785416 T^{10} + 5110273334094 T^{12} - 278612539606740 T^{14} + 13434614767508177 T^{16} - 580509426620078532 T^{18} + 22607554396001093156 T^{20} - \)\(79\!\cdots\!08\)\( T^{22} + \)\(25\!\cdots\!97\)\( T^{24} - \)\(71\!\cdots\!60\)\( T^{26} + \)\(17\!\cdots\!74\)\( T^{28} - \)\(38\!\cdots\!84\)\( T^{30} + \)\(70\!\cdots\!22\)\( T^{32} - \)\(10\!\cdots\!48\)\( T^{34} + \)\(10\!\cdots\!68\)\( T^{36} - \)\(70\!\cdots\!80\)\( T^{38} + \)\(23\!\cdots\!01\)\( T^{40} \))(\( 1 - 276 T^{2} + 39800 T^{4} - 3928044 T^{6} + 298871830 T^{8} - 18845095064 T^{10} + 1035557317166 T^{12} - 51263841660388 T^{14} + 2326196427291569 T^{16} - 97297827407840132 T^{18} + 3750960894212410852 T^{20} - \)\(13\!\cdots\!08\)\( T^{22} + \)\(43\!\cdots\!09\)\( T^{24} - \)\(13\!\cdots\!92\)\( T^{26} + \)\(36\!\cdots\!86\)\( T^{28} - \)\(90\!\cdots\!36\)\( T^{30} + \)\(19\!\cdots\!30\)\( T^{32} - \)\(35\!\cdots\!16\)\( T^{34} + \)\(49\!\cdots\!00\)\( T^{36} - \)\(46\!\cdots\!04\)\( T^{38} + \)\(23\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 10 T + 66 T^{2} - 370 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 8 T + 78 T^{2} + 296 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 10 T + 148 T^{2} + 990 T^{3} + 8294 T^{4} + 36630 T^{5} + 202612 T^{6} + 506530 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{4} \))(\( ( 1 - 8 T + 72 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 8 T + 72 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T + 37 T^{2} )^{4} \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 37 T^{2} + 1369 T^{4} \))(\( 1 + 5 T - 12 T^{2} + 185 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T - 44 T^{2} + 56 T^{3} + 1639 T^{4} + 2072 T^{5} - 60236 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 12 T - 18 T^{2} + 512 T^{3} + 1059 T^{4} - 7530 T^{5} - 123968 T^{6} + 84020 T^{7} + 5785317 T^{8} + 3331446 T^{9} - 259900910 T^{10} + 123263502 T^{11} + 7920098973 T^{12} + 4255865060 T^{13} - 232335990848 T^{14} - 522159996210 T^{15} + 2717104267131 T^{16} + 48605121092096 T^{17} - 63224630170578 T^{18} - 1559540877540924 T^{19} + 4808584372417849 T^{20} \))(\( 1 - 11 T - 12 T^{2} + 337 T^{3} - 744 T^{4} + 14377 T^{5} - 98468 T^{6} + 114841 T^{7} + 2215358 T^{8} - 24212693 T^{9} - 35551770 T^{10} + 116756297 T^{11} + 6165506214 T^{12} + 4319982989 T^{13} - 48670373130 T^{14} - 1226445538529 T^{15} + 4151937564638 T^{16} + 7963529365837 T^{17} - 252641948041412 T^{18} + 1364835597541141 T^{19} - 2613284713717224 T^{20} + 43797106310940949 T^{21} - 57703012469014188 T^{22} - 1957093839574064543 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 6 T - 167 T^{2} - 1178 T^{3} + 15216 T^{4} + 121528 T^{5} - 901713 T^{6} - 8356616 T^{7} + 36785837 T^{8} + 403025320 T^{9} - 990334274 T^{10} - 13139047544 T^{11} + 15115652593 T^{12} + 194677343308 T^{13} - 172128820949 T^{14} + 7203061702396 T^{15} + 20693328399817 T^{16} - 665532175246232 T^{17} - 1856045873294114 T^{18} + 27947370459991240 T^{19} + 94382393468069333 T^{20} - 793309243359661928 T^{21} - 3167248385833466673 T^{22} + 15793990313816117656 T^{23} + 73167419810709990384 T^{24} - \)\(20\!\cdots\!14\)\( T^{25} - \)\(10\!\cdots\!27\)\( T^{26} + \)\(14\!\cdots\!82\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 + 7 T - 55 T^{2} - 290 T^{3} + 1663 T^{4} - 12505 T^{5} - 177532 T^{6} + 785911 T^{7} + 6984825 T^{8} - 36231058 T^{9} + 43675265 T^{10} + 2771857285 T^{11} - 6122302018 T^{12} - 79454582371 T^{13} + 449356084093 T^{14} + 540171267730 T^{15} - 26532900128918 T^{16} + 19986336906010 T^{17} + 615168479123317 T^{18} - 4024612960838263 T^{19} - 11474179672356898 T^{20} + 192211552381176745 T^{21} + 112058780830573385 T^{22} - 3439482346454596714 T^{23} + 24534054301733748825 T^{24} + \)\(10\!\cdots\!47\)\( T^{25} - \)\(85\!\cdots\!68\)\( T^{26} - \)\(22\!\cdots\!65\)\( T^{27} + \)\(10\!\cdots\!03\)\( T^{28} - \)\(70\!\cdots\!30\)\( T^{29} - \)\(49\!\cdots\!95\)\( T^{30} + \)\(23\!\cdots\!51\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 6 T - 104 T^{2} - 488 T^{3} + 3505 T^{4} + 520 T^{5} - 96418 T^{6} + 482110 T^{7} + 7260538 T^{8} + 20675934 T^{9} - 269345786 T^{10} - 695871928 T^{11} + 5818297554 T^{12} - 27284507842 T^{13} - 421868323156 T^{14} - 1082282371634 T^{15} + 21351371579315 T^{16} + 64701091138334 T^{17} - 707809604087762 T^{18} + 2393940372118358 T^{19} + 29230027692082235 T^{20} - 54820848970377002 T^{21} - 790649158394372116 T^{22} - 1892015738561810794 T^{23} + 14928159689717903586 T^{24} - 66060428369199822424 T^{25} - \)\(94\!\cdots\!06\)\( T^{26} + \)\(26\!\cdots\!18\)\( T^{27} + \)\(34\!\cdots\!62\)\( T^{28} + \)\(85\!\cdots\!30\)\( T^{29} - \)\(63\!\cdots\!58\)\( T^{30} + \)\(12\!\cdots\!40\)\( T^{31} + \)\(31\!\cdots\!45\)\( T^{32} - \)\(16\!\cdots\!84\)\( T^{33} - \)\(12\!\cdots\!64\)\( T^{34} + \)\(27\!\cdots\!02\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 + 3 T - 128 T^{2} + 267 T^{3} + 9912 T^{4} - 39859 T^{5} - 223194 T^{6} + 2234847 T^{7} - 7886167 T^{8} + 45215688 T^{9} + 714904236 T^{10} - 8789025464 T^{11} + 5830496106 T^{12} + 397307005990 T^{13} - 1605240058926 T^{14} - 1604505026424 T^{15} + 40082860505721 T^{16} - 387488525304909 T^{17} + 2510602860383106 T^{18} + 10288019967747153 T^{19} - 170559651175682646 T^{20} + 380656738806644661 T^{21} + 3437015315864472114 T^{22} - 19627456272269555577 T^{23} + 75121733928262575081 T^{24} - \)\(11\!\cdots\!68\)\( T^{25} - \)\(41\!\cdots\!34\)\( T^{26} + \)\(37\!\cdots\!70\)\( T^{27} + \)\(20\!\cdots\!26\)\( T^{28} - \)\(11\!\cdots\!28\)\( T^{29} + \)\(34\!\cdots\!64\)\( T^{30} + \)\(80\!\cdots\!44\)\( T^{31} - \)\(51\!\cdots\!27\)\( T^{32} + \)\(54\!\cdots\!59\)\( T^{33} - \)\(20\!\cdots\!66\)\( T^{34} - \)\(13\!\cdots\!87\)\( T^{35} + \)\(12\!\cdots\!92\)\( T^{36} + \)\(12\!\cdots\!39\)\( T^{37} - \)\(21\!\cdots\!12\)\( T^{38} + \)\(18\!\cdots\!19\)\( T^{39} + \)\(23\!\cdots\!01\)\( T^{40} \))
$41$ (\( 1 + 8 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( 1 - 8 T + 48 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 + 76 T^{2} + 1681 T^{4} \))(\( 1 - 2 T + 8 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 + 89 T^{2} + 76 T^{3} + 3649 T^{4} + 68921 T^{6} \))(\( 1 - 4 T + 73 T^{2} - 396 T^{3} + 2993 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 + 38 T^{2} + 402 T^{4} + 63878 T^{6} + 2825761 T^{8} \))(\( 1 + 58 T^{2} + 264 T^{3} + 2362 T^{4} + 10824 T^{5} + 97498 T^{6} + 2825761 T^{8} \))(\( 1 + 83 T^{2} - 260 T^{3} + 4964 T^{4} - 11192 T^{5} + 203524 T^{6} - 437060 T^{7} + 5720443 T^{8} + 115856201 T^{10} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 141 T^{2} + 666 T^{3} + 5781 T^{4} + 13448 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 16 T + 193 T^{2} + 1362 T^{3} + 7913 T^{4} + 26896 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 - 6 T + 188 T^{2} - 520 T^{3} + 16457 T^{4} - 14494 T^{5} + 1058088 T^{6} + 286678 T^{7} + 55605510 T^{8} + 45683142 T^{9} + 2463539512 T^{10} + 1873008822 T^{11} + 93472862310 T^{12} + 19758134438 T^{13} + 2989903804968 T^{14} - 1679219777294 T^{15} + 78172465494137 T^{16} - 101272222418120 T^{17} + 1501165943074748 T^{18} - 1964291606363766 T^{19} + 13422659310152401 T^{20} )^{2} \))(\( ( 1 - 26 T + 544 T^{2} - 7724 T^{3} + 95777 T^{4} - 968190 T^{5} + 8934600 T^{6} - 71969834 T^{7} + 547213230 T^{8} - 3776336450 T^{9} + 25186272816 T^{10} - 154829794450 T^{11} + 919865439630 T^{12} - 4960232929114 T^{13} + 25247044230600 T^{14} - 112170815246190 T^{15} + 454950733890257 T^{16} - 1504282011456844 T^{17} + 4343799324641824 T^{18} - 8511930294242986 T^{19} + 13422659310152401 T^{20} )^{2} \))(\( ( 1 - 40 T^{2} + 2574 T^{4} - 67240 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 116 T^{2} + 6294 T^{4} + 194996 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 92 T^{2} + 7508 T^{4} + 417444 T^{6} + 19059990 T^{8} + 701723364 T^{10} + 21215813588 T^{12} + 437009590172 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 12 T + 116 T^{2} + 492 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 12 T + 116 T^{2} - 492 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 4 T + 54 T^{2} + 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 5 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 - T + 41 T^{2} )^{2} \))(\( ( 1 - 9 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 33 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 17 T + 286 T^{2} - 2863 T^{3} + 26557 T^{4} - 177380 T^{5} + 1088837 T^{6} - 4812703 T^{7} + 19711406 T^{8} - 48037937 T^{9} + 115856201 T^{10} )^{2} \))(\( ( 1 - 3 T + 169 T^{2} - 518 T^{3} + 14067 T^{4} - 38331 T^{5} + 722774 T^{6} - 1571571 T^{7} + 23646627 T^{8} - 35701078 T^{9} + 477553609 T^{10} - 347568603 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 5 T + 176 T^{2} + 517 T^{3} + 14638 T^{4} + 32259 T^{5} + 854169 T^{6} + 1627062 T^{7} + 35020929 T^{8} + 54227379 T^{9} + 1008865598 T^{10} + 1460918437 T^{11} + 20390691376 T^{12} + 23750521205 T^{13} + 194754273881 T^{14} )^{2} \))(\( ( 1 - 9 T + 115 T^{2} - 732 T^{3} + 6562 T^{4} - 29730 T^{5} + 258493 T^{6} - 1119297 T^{7} + 10112890 T^{8} - 45891177 T^{9} + 434526733 T^{10} - 2049021330 T^{11} + 18542643682 T^{12} - 84806739132 T^{13} + 546261987715 T^{14} - 1752788464929 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 15 T + 242 T^{2} + 2463 T^{3} + 26495 T^{4} + 217154 T^{5} + 1846597 T^{6} + 12891873 T^{7} + 95031041 T^{8} + 591954622 T^{9} + 3896272681 T^{10} + 21671238513 T^{11} + 127269311837 T^{12} + 613625304194 T^{13} + 3069610045495 T^{14} + 11699506745583 T^{15} + 47130534279202 T^{16} + 119773878436815 T^{17} + 327381934393961 T^{18} )^{2} \))(\( ( 1 - 3 T + 241 T^{2} - 396 T^{3} + 26105 T^{4} - 7871 T^{5} + 1742260 T^{6} + 1701563 T^{7} + 85984854 T^{8} + 160288907 T^{9} + 3661042934 T^{10} + 6571845187 T^{11} + 144540539574 T^{12} + 117273423523 T^{13} + 4923210359860 T^{14} - 911904158071 T^{15} + 124001471211305 T^{16} - 77122692456876 T^{17} + 1924366980218161 T^{18} - 982145803181883 T^{19} + 13422659310152401 T^{20} )^{2} \))
$43$ (\( 1 - 9 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 13 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 - T + 82 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 + 10 T + 109 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 105 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 + 83 T^{2} + 1849 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 596 T^{3} + 5418 T^{4} + 14792 T^{5} + 79507 T^{6} \))(\( 1 + 86 T^{2} - 44 T^{3} + 3698 T^{4} + 79507 T^{6} \))(\( 1 - 6 T + 107 T^{2} - 470 T^{3} + 5520 T^{4} - 20210 T^{5} + 197843 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T + 11 T^{2} - 238 T^{3} + 3504 T^{4} - 10234 T^{5} + 20339 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 48 T^{2} + 12 T^{3} + 2563 T^{4} + 12104 T^{5} + 110209 T^{6} + 22188 T^{7} + 3816336 T^{8} + 147008443 T^{10} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 219 T^{2} + 21086 T^{4} - 1162547 T^{6} + 38988014 T^{8} - 748717419 T^{10} + 6321363049 T^{12} \))(\( 1 - 139 T^{2} + 11654 T^{4} - 595707 T^{6} + 21548246 T^{8} - 475213339 T^{10} + 6321363049 T^{12} \))(\( 1 - 301 T^{2} + 40567 T^{4} - 3114932 T^{6} + 139359283 T^{8} - 2731659641 T^{10} - 55736331088 T^{12} + 3220097377053 T^{14} + 225705463472508 T^{16} - 31610273187179755 T^{18} + 1798746642937635378 T^{20} - 58447395123095366995 T^{22} + \)\(77\!\cdots\!08\)\( T^{24} + \)\(20\!\cdots\!97\)\( T^{26} - \)\(65\!\cdots\!88\)\( T^{28} - \)\(59\!\cdots\!09\)\( T^{30} + \)\(55\!\cdots\!83\)\( T^{32} - \)\(23\!\cdots\!68\)\( T^{34} + \)\(55\!\cdots\!67\)\( T^{36} - \)\(76\!\cdots\!49\)\( T^{38} + \)\(46\!\cdots\!01\)\( T^{40} \))(\( 1 - 445 T^{2} + 101583 T^{4} - 15733964 T^{6} + 1850110019 T^{8} - 175376856657 T^{10} + 13900353862768 T^{12} - 943206133698667 T^{14} + 55645680002705772 T^{16} - 2882364628830608611 T^{18} + \)\(13\!\cdots\!38\)\( T^{20} - \)\(53\!\cdots\!39\)\( T^{22} + \)\(19\!\cdots\!72\)\( T^{24} - \)\(59\!\cdots\!83\)\( T^{26} + \)\(16\!\cdots\!68\)\( T^{28} - \)\(37\!\cdots\!93\)\( T^{30} + \)\(73\!\cdots\!19\)\( T^{32} - \)\(11\!\cdots\!36\)\( T^{34} + \)\(13\!\cdots\!83\)\( T^{36} - \)\(11\!\cdots\!05\)\( T^{38} + \)\(46\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 121 T^{2} + 7284 T^{4} - 223729 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 80 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 + 2 T^{2} + 3245 T^{4} + 20322 T^{6} + 8864604 T^{8} + 37575378 T^{10} + 11094009245 T^{12} + 12642726098 T^{14} + 11688200277601 T^{16} )^{2} \))(\( 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} \))(\( 1 - 134 T^{2} + 8115 T^{4} - 247766 T^{6} + 3418801 T^{8} \))(\( 1 - 134 T^{2} + 8115 T^{4} - 247766 T^{6} + 3418801 T^{8} \))(\( 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} \))(\( ( 1 + 7 T + 43 T^{2} )^{2} \))(\( ( 1 + 11 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 79 T^{2} - 86 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - T + 83 T^{2} - 204 T^{3} + 4033 T^{4} - 9277 T^{5} + 173419 T^{6} - 377196 T^{7} + 6599081 T^{8} - 3418801 T^{9} + 147008443 T^{10} )^{2} \))(\( ( 1 + 4 T + 193 T^{2} + 456 T^{3} + 16102 T^{4} + 22212 T^{5} + 830365 T^{6} + 955116 T^{7} + 29772598 T^{8} + 36255192 T^{9} + 659828593 T^{10} + 588033772 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 15 T + 180 T^{2} - 1547 T^{3} + 16065 T^{4} - 127474 T^{5} + 967671 T^{6} - 5936375 T^{7} + 41609853 T^{8} - 235699426 T^{9} + 1277279955 T^{10} - 5288885147 T^{11} + 26461519740 T^{12} - 94820445735 T^{13} + 271818611107 T^{14} )^{2} \))(\( ( 1 - 14 T + 288 T^{2} - 2456 T^{3} + 28846 T^{4} - 164566 T^{5} + 1518280 T^{6} - 6468290 T^{7} + 62942135 T^{8} - 278136470 T^{9} + 2807299720 T^{10} - 13084148962 T^{11} + 98618733646 T^{12} - 361052736008 T^{13} + 1820552558112 T^{14} - 3805460555498 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 17 T + 339 T^{2} - 4268 T^{3} + 51318 T^{4} - 505930 T^{5} + 4639450 T^{6} - 37410888 T^{7} + 282156879 T^{8} - 1908893515 T^{9} + 12132745797 T^{10} - 69172731912 T^{11} + 368868751150 T^{12} - 1729673989930 T^{13} + 7544179277874 T^{14} - 26979577493132 T^{15} + 92146509165273 T^{16} - 198699404719217 T^{17} + 502592611936843 T^{18} )^{2} \))(\( ( 1 + 125 T^{2} + 64 T^{3} + 11063 T^{4} + 10632 T^{5} + 781150 T^{6} + 723848 T^{7} + 43602813 T^{8} + 43329736 T^{9} + 2057228939 T^{10} + 1863178648 T^{11} + 80621601237 T^{12} + 57550982936 T^{13} + 2670596401150 T^{14} + 1562993765976 T^{15} + 69933239411087 T^{16} + 17396391110848 T^{17} + 1461025034700125 T^{18} + 21611482313284249 T^{20} )^{2} \))
$47$ (\( 1 + 12 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 2 T + 78 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 112 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 124 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 100 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 119 T^{2} - 580 T^{3} + 5593 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 2 T + 127 T^{2} - 156 T^{3} + 5969 T^{4} - 4418 T^{5} + 103823 T^{6} \))(\( 1 - 4 T + 54 T^{2} - 452 T^{3} + 786 T^{4} - 21244 T^{5} + 119286 T^{6} - 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 42 T^{2} - 352 T^{3} + 1706 T^{4} - 16544 T^{5} + 92778 T^{6} + 4879681 T^{8} \))(\( 1 + 2 T + 97 T^{2} + 328 T^{3} + 6984 T^{4} + 12780 T^{5} + 328248 T^{6} + 724552 T^{7} + 10070831 T^{8} + 9759362 T^{9} + 229345007 T^{10} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 - 254 T^{2} + 27975 T^{4} - 1715024 T^{6} + 61796775 T^{8} - 1239438974 T^{10} + 10779215329 T^{12} \))(\( 1 - 94 T^{2} + 6263 T^{4} - 289872 T^{6} + 13834967 T^{8} - 458690014 T^{10} + 10779215329 T^{12} \))(\( 1 - 348 T^{2} + 69124 T^{4} - 9929156 T^{6} + 1132382918 T^{8} - 107583204096 T^{10} + 8759246940354 T^{12} - 622164180171628 T^{14} + 38998757285971457 T^{16} - 2172877670496645428 T^{18} + \)\(10\!\cdots\!52\)\( T^{20} - \)\(47\!\cdots\!52\)\( T^{22} + \)\(19\!\cdots\!17\)\( T^{24} - \)\(67\!\cdots\!12\)\( T^{26} + \)\(20\!\cdots\!94\)\( T^{28} - \)\(56\!\cdots\!04\)\( T^{30} + \)\(13\!\cdots\!38\)\( T^{32} - \)\(25\!\cdots\!64\)\( T^{34} + \)\(39\!\cdots\!04\)\( T^{36} - \)\(43\!\cdots\!72\)\( T^{38} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( 1 - 444 T^{2} + 92196 T^{4} - 12149780 T^{6} + 1184517974 T^{8} - 95625758080 T^{10} + 6880096091314 T^{12} - 450201056694860 T^{14} + 26553630005312817 T^{16} - 1412555151749395236 T^{18} + 68938276638065329860 T^{20} - \)\(31\!\cdots\!24\)\( T^{22} + \)\(12\!\cdots\!77\)\( T^{24} - \)\(48\!\cdots\!40\)\( T^{26} + \)\(16\!\cdots\!54\)\( T^{28} - \)\(50\!\cdots\!20\)\( T^{30} + \)\(13\!\cdots\!34\)\( T^{32} - \)\(31\!\cdots\!20\)\( T^{34} + \)\(52\!\cdots\!16\)\( T^{36} - \)\(55\!\cdots\!16\)\( T^{38} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 24 T^{2} - 1906 T^{4} - 53016 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 60 T^{2} + 2246 T^{4} - 132540 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 76 T^{2} + 2612 T^{4} - 154868 T^{6} + 10677910 T^{8} - 342103412 T^{10} + 12745726772 T^{12} - 819220365004 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 44 T^{2} + 2854 T^{4} - 97196 T^{6} + 4879681 T^{8} \))(\( 1 - 16 T^{2} - 2718 T^{4} - 35344 T^{6} + 4879681 T^{8} \))(\( 1 - 16 T^{2} - 2718 T^{4} - 35344 T^{6} + 4879681 T^{8} \))(\( 1 - 44 T^{2} + 2854 T^{4} - 97196 T^{6} + 4879681 T^{8} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 7 T + 2 T^{2} - 329 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 49 T^{2} - 54 T^{3} + 3324 T^{4} - 2538 T^{5} - 108241 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 3 T - 192 T^{2} + 205 T^{3} + 22112 T^{4} - 3377 T^{5} - 1737928 T^{6} - 296131 T^{7} + 104831163 T^{8} + 15117438 T^{9} - 5344141672 T^{10} + 710519586 T^{11} + 231572039067 T^{12} - 30745208813 T^{13} - 8480534240968 T^{14} - 774498088639 T^{15} + 238350009354848 T^{16} + 103857739694915 T^{17} - 4571767039058112 T^{18} - 3357391419308301 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 19 T + 65 T^{2} + 646 T^{3} - 1607 T^{4} - 32603 T^{5} + 47852 T^{6} + 972749 T^{7} - 1563185 T^{8} - 28643618 T^{9} + 270326495 T^{10} + 831268381 T^{11} - 23577340778 T^{12} + 39069613907 T^{13} + 597151227455 T^{14} - 2973866351614 T^{15} - 7627844143985 T^{16} + 223095126214243 T^{17} + 515807011923308 T^{18} - 16517433596455189 T^{19} - 38264737665449927 T^{20} + 722958285624387482 T^{21} + 3418943595328953185 T^{22} - 46971025086596233757 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - T - 251 T^{2} - 70 T^{3} + 33835 T^{4} + 35389 T^{5} - 3228868 T^{6} - 4249335 T^{7} + 244029282 T^{8} + 296445673 T^{9} - 15480257620 T^{10} - 13242482179 T^{11} + 856819892744 T^{12} + 261055720331 T^{13} - 42398821816946 T^{14} + 12269618855557 T^{15} + 1892715143071496 T^{16} - 1374874227270317 T^{17} - 75538718983419220 T^{18} + 67988334949304711 T^{19} + 2630444177259263778 T^{20} - 2152811357592642105 T^{21} - 76883501540986916548 T^{22} + 39604908312633821363 T^{23} + \)\(17\!\cdots\!15\)\( T^{24} - \)\(17\!\cdots\!10\)\( T^{25} - \)\(29\!\cdots\!91\)\( T^{26} - \)\(54\!\cdots\!27\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 5 T - 46 T^{2} + 1413 T^{3} - 4011 T^{4} - 81218 T^{5} + 962124 T^{6} + 518472 T^{7} - 67274903 T^{8} + 359747971 T^{9} + 2365396246 T^{10} - 33463235325 T^{11} + 41111482358 T^{12} + 1723038491677 T^{13} - 10326476458194 T^{14} - 33268384427319 T^{15} + 705290056217110 T^{16} - 1563614068083993 T^{17} - 22811186496150546 T^{18} + 178891025321381171 T^{19} + 200610919344167798 T^{20} - 7674625939854772275 T^{21} + 25497115474042254934 T^{22} + \)\(18\!\cdots\!73\)\( T^{23} - \)\(16\!\cdots\!83\)\( T^{24} + \)\(58\!\cdots\!24\)\( T^{25} + \)\(50\!\cdots\!76\)\( T^{26} - \)\(20\!\cdots\!54\)\( T^{27} - \)\(46\!\cdots\!51\)\( T^{28} + \)\(77\!\cdots\!51\)\( T^{29} - \)\(11\!\cdots\!74\)\( T^{30} - \)\(60\!\cdots\!15\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 3 T - 78 T^{2} + 835 T^{3} - 3498 T^{4} - 34359 T^{5} + 622506 T^{6} - 3017889 T^{7} - 6316722 T^{8} + 198157469 T^{9} - 1817229414 T^{10} + 6422065995 T^{11} + 40630336543 T^{12} - 552912219426 T^{13} + 3474031435380 T^{14} - 11728369069526 T^{15} - 58377786706596 T^{16} + 853095015316518 T^{17} - 5702570520982228 T^{18} + 40095465719876346 T^{19} - 128956530834870564 T^{20} - 1217674461905397898 T^{21} + 16952165188626513780 T^{22} - \)\(12\!\cdots\!82\)\( T^{23} + \)\(43\!\cdots\!47\)\( T^{24} + \)\(32\!\cdots\!85\)\( T^{25} - \)\(43\!\cdots\!54\)\( T^{26} + \)\(22\!\cdots\!23\)\( T^{27} - \)\(33\!\cdots\!78\)\( T^{28} - \)\(74\!\cdots\!67\)\( T^{29} + \)\(72\!\cdots\!46\)\( T^{30} - \)\(18\!\cdots\!93\)\( T^{31} - \)\(89\!\cdots\!62\)\( T^{32} + \)\(10\!\cdots\!05\)\( T^{33} - \)\(44\!\cdots\!38\)\( T^{34} - \)\(79\!\cdots\!61\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 + 21 T + 15 T^{2} - 2168 T^{3} - 3959 T^{4} + 168453 T^{5} + 434082 T^{6} - 8565753 T^{7} - 29674074 T^{8} + 280816157 T^{9} + 1804083554 T^{10} - 3822305329 T^{11} - 103227821337 T^{12} - 86521737102 T^{13} + 5798660262001 T^{14} + 9519377556127 T^{15} - 224205928454641 T^{16} - 259220598954262 T^{17} + 6258555994511740 T^{18} - 971056326106282 T^{19} - 241545078555221004 T^{20} - 45639647326995254 T^{21} + 13825150191876433660 T^{22} - 26913060245228343626 T^{23} - \)\(10\!\cdots\!21\)\( T^{24} + \)\(21\!\cdots\!89\)\( T^{25} + \)\(62\!\cdots\!29\)\( T^{26} - \)\(43\!\cdots\!26\)\( T^{27} - \)\(24\!\cdots\!57\)\( T^{28} - \)\(42\!\cdots\!43\)\( T^{29} + \)\(94\!\cdots\!46\)\( T^{30} + \)\(69\!\cdots\!71\)\( T^{31} - \)\(34\!\cdots\!34\)\( T^{32} - \)\(46\!\cdots\!31\)\( T^{33} + \)\(11\!\cdots\!58\)\( T^{34} + \)\(20\!\cdots\!79\)\( T^{35} - \)\(22\!\cdots\!39\)\( T^{36} - \)\(57\!\cdots\!16\)\( T^{37} + \)\(18\!\cdots\!35\)\( T^{38} + \)\(12\!\cdots\!43\)\( T^{39} + \)\(27\!\cdots\!01\)\( T^{40} \))
$53$ (\( 1 + 5 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 15 T + 124 T^{2} + 795 T^{3} + 2809 T^{4} \))(\( 1 - 6 T + 83 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( ( 1 - 3 T + 53 T^{2} )^{2} \))(\( 1 - 2 T + 95 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 16 T + 140 T^{2} - 974 T^{3} + 7420 T^{4} - 44944 T^{5} + 148877 T^{6} \))(\( 1 + 152 T^{2} + 2 T^{3} + 8056 T^{4} + 148877 T^{6} \))(\( 1 - 14 T + 161 T^{2} - 1198 T^{3} + 10012 T^{4} - 63494 T^{5} + 452249 T^{6} - 2084278 T^{7} + 7890481 T^{8} \))(\( 1 - 14 T + 233 T^{2} - 2118 T^{3} + 19148 T^{4} - 112254 T^{5} + 654497 T^{6} - 2084278 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 194 T^{2} + 1338 T^{3} + 17981 T^{4} + 100460 T^{5} + 952993 T^{6} + 3758442 T^{7} + 28882138 T^{8} + 63123848 T^{9} + 418195493 T^{10} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 102 T^{2} + 2809 T^{4} \))(\( 1 - 139 T^{2} + 10974 T^{4} - 619087 T^{6} + 30825966 T^{8} - 1096776859 T^{10} + 22164361129 T^{12} \))(\( 1 - 243 T^{2} + 27470 T^{4} - 1839911 T^{6} + 77163230 T^{8} - 1917386883 T^{10} + 22164361129 T^{12} \))(\( 1 - 397 T^{2} + 83271 T^{4} - 11925936 T^{6} + 1290772875 T^{8} - 111126345933 T^{10} + 7857223936736 T^{12} - 468699015269855 T^{14} + 24497573777265572 T^{16} - 1201050518125355583 T^{18} + 60909706273895107890 T^{20} - \)\(33\!\cdots\!47\)\( T^{22} + \)\(19\!\cdots\!32\)\( T^{24} - \)\(10\!\cdots\!95\)\( T^{26} + \)\(48\!\cdots\!96\)\( T^{28} - \)\(19\!\cdots\!17\)\( T^{30} + \)\(63\!\cdots\!75\)\( T^{32} - \)\(16\!\cdots\!84\)\( T^{34} + \)\(32\!\cdots\!91\)\( T^{36} - \)\(43\!\cdots\!33\)\( T^{38} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( 1 - 389 T^{2} + 81639 T^{4} - 12035744 T^{6} + 1395484923 T^{8} - 135312803605 T^{10} + 11385806864320 T^{12} - 849942472919799 T^{14} + 57052023207879220 T^{16} - 3472559969098943159 T^{18} + \)\(19\!\cdots\!66\)\( T^{20} - \)\(97\!\cdots\!31\)\( T^{22} + \)\(45\!\cdots\!20\)\( T^{24} - \)\(18\!\cdots\!71\)\( T^{26} + \)\(70\!\cdots\!20\)\( T^{28} - \)\(23\!\cdots\!45\)\( T^{30} + \)\(68\!\cdots\!43\)\( T^{32} - \)\(16\!\cdots\!36\)\( T^{34} + \)\(31\!\cdots\!19\)\( T^{36} - \)\(42\!\cdots\!21\)\( T^{38} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 9 T + 118 T^{2} + 477 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 94 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 2 T + 21 T^{2} + 214 T^{3} + 2384 T^{4} + 11342 T^{5} + 58989 T^{6} - 297754 T^{7} + 7890481 T^{8} )^{4} \))(\( 1 - 188 T^{2} + 14326 T^{4} - 528092 T^{6} + 7890481 T^{8} \))(\( 1 - 190 T^{2} + 14571 T^{4} - 533710 T^{6} + 7890481 T^{8} \))(\( 1 - 190 T^{2} + 14571 T^{4} - 533710 T^{6} + 7890481 T^{8} \))(\( 1 - 188 T^{2} + 14326 T^{4} - 528092 T^{6} + 7890481 T^{8} \))(\( 1 - 5 T - 28 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 13 T + 116 T^{2} + 689 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 + 3 T - 44 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + 7 T - 4 T^{2} + 371 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 65 T^{2} - 318 T^{3} + 2809 T^{4} )( 1 - 94 T^{2} + 2809 T^{4} ) \))(\( 1 - 3 T - 135 T^{2} - 426 T^{3} + 10636 T^{4} + 68854 T^{5} - 357229 T^{6} - 4160289 T^{7} + 3452263 T^{8} + 73218812 T^{9} + 364480548 T^{10} + 3880597036 T^{11} + 9697406767 T^{12} - 619371345453 T^{13} - 2818708637149 T^{14} + 28794432475022 T^{15} + 235740144968044 T^{16} - 500426945570562 T^{17} - 8405058205533735 T^{18} - 9899290775406399 T^{19} + 174887470365513049 T^{20} \))(\( 1 - T - 194 T^{2} + 965 T^{3} + 19082 T^{4} - 145529 T^{5} - 999840 T^{6} + 11497845 T^{7} + 27252882 T^{8} - 521548537 T^{9} - 94789550 T^{10} + 10510460877 T^{11} - 18320739606 T^{12} + 557054426481 T^{13} - 266263845950 T^{14} - 77646581542949 T^{15} + 215038347616242 T^{16} + 4808346958212585 T^{17} - 22160814831219360 T^{18} - 170954537469338773 T^{19} + 1188039412429590602 T^{20} + 3184271866089058345 T^{21} - 33928169250909531506 T^{22} - 9269035929372191597 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 13 T - 185 T^{2} - 2316 T^{3} + 28233 T^{4} + 272305 T^{5} - 3005724 T^{6} - 21148301 T^{7} + 254672736 T^{8} + 1193686553 T^{9} - 17654640792 T^{10} - 48243276517 T^{11} + 1043606453582 T^{12} + 885436873647 T^{13} - 57565595302946 T^{14} + 46928154303291 T^{15} + 2931490528111838 T^{16} - 7182314278021409 T^{17} - 139303607731100952 T^{18} + 499194336519305629 T^{19} + 5644658490414478944 T^{20} - 24843144773325966937 T^{21} - \)\(18\!\cdots\!64\)\( T^{22} + \)\(89\!\cdots\!65\)\( T^{23} + \)\(49\!\cdots\!17\)\( T^{24} - \)\(21\!\cdots\!52\)\( T^{25} - \)\(90\!\cdots\!85\)\( T^{26} + \)\(33\!\cdots\!49\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - T - 156 T^{2} + 103 T^{3} + 8869 T^{4} - 17870 T^{5} - 80664 T^{6} + 3713288 T^{7} - 10794035 T^{8} - 314825081 T^{9} - 32561316 T^{10} + 7152682045 T^{11} + 35898311590 T^{12} + 454201417553 T^{13} + 843465139212 T^{14} - 20101807207305 T^{15} - 184129003703366 T^{16} - 1065395781987165 T^{17} + 2369293576046508 T^{18} + 67620144441037981 T^{19} + 283254945532974790 T^{20} + 2991219394081023185 T^{21} - 721700766659485764 T^{22} - \)\(36\!\cdots\!97\)\( T^{23} - \)\(67\!\cdots\!35\)\( T^{24} + \)\(12\!\cdots\!04\)\( T^{25} - \)\(14\!\cdots\!36\)\( T^{26} - \)\(16\!\cdots\!90\)\( T^{27} + \)\(43\!\cdots\!29\)\( T^{28} + \)\(26\!\cdots\!19\)\( T^{29} - \)\(21\!\cdots\!64\)\( T^{30} - \)\(73\!\cdots\!57\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 11 T - 241 T^{2} + 2976 T^{3} + 29700 T^{4} - 397618 T^{5} - 2764413 T^{6} + 36277243 T^{7} + 232885890 T^{8} - 2578931765 T^{9} - 18657269157 T^{10} + 149850660922 T^{11} + 1409027894897 T^{12} - 7037766115043 T^{13} - 99089029835846 T^{14} + 249161570439965 T^{15} + 6347855690659854 T^{16} - 4564839502873161 T^{17} - 359896480822937586 T^{18} - 241936493652277533 T^{19} + 17831126635063529886 T^{20} + 37094427122390669305 T^{21} - \)\(78\!\cdots\!26\)\( T^{22} - \)\(29\!\cdots\!99\)\( T^{23} + \)\(31\!\cdots\!13\)\( T^{24} + \)\(17\!\cdots\!14\)\( T^{25} - \)\(11\!\cdots\!77\)\( T^{26} - \)\(85\!\cdots\!45\)\( T^{27} + \)\(40\!\cdots\!10\)\( T^{28} + \)\(33\!\cdots\!71\)\( T^{29} - \)\(13\!\cdots\!33\)\( T^{30} - \)\(10\!\cdots\!14\)\( T^{31} + \)\(40\!\cdots\!00\)\( T^{32} + \)\(21\!\cdots\!32\)\( T^{33} - \)\(93\!\cdots\!61\)\( T^{34} - \)\(22\!\cdots\!43\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 - 5 T - 172 T^{2} + 1175 T^{3} + 6688 T^{4} - 89127 T^{5} + 281638 T^{6} + 1797919 T^{7} - 632779 T^{8} - 54922020 T^{9} - 2923292464 T^{10} + 18604779008 T^{11} + 123060233786 T^{12} - 1272270869738 T^{13} + 3143010509322 T^{14} + 23071383199220 T^{15} - 219729169009639 T^{16} + 451820577231103 T^{17} - 10019100149606090 T^{18} - 14946906634098691 T^{19} + 1183061749053480426 T^{20} - 792186051607230623 T^{21} - 28143652320243506810 T^{22} + 67265692076434921331 T^{23} - \)\(17\!\cdots\!59\)\( T^{24} + \)\(96\!\cdots\!60\)\( T^{25} + \)\(69\!\cdots\!38\)\( T^{26} - \)\(14\!\cdots\!06\)\( T^{27} + \)\(76\!\cdots\!46\)\( T^{28} + \)\(61\!\cdots\!64\)\( T^{29} - \)\(51\!\cdots\!36\)\( T^{30} - \)\(50\!\cdots\!40\)\( T^{31} - \)\(31\!\cdots\!39\)\( T^{32} + \)\(46\!\cdots\!87\)\( T^{33} + \)\(38\!\cdots\!22\)\( T^{34} - \)\(65\!\cdots\!39\)\( T^{35} + \)\(25\!\cdots\!48\)\( T^{36} + \)\(24\!\cdots\!75\)\( T^{37} - \)\(18\!\cdots\!08\)\( T^{38} - \)\(28\!\cdots\!85\)\( T^{39} + \)\(30\!\cdots\!01\)\( T^{40} \))
$59$ (\( 1 - 3 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 - 17 T + 186 T^{2} - 1003 T^{3} + 3481 T^{4} \))(\( 1 - 26 T + 285 T^{2} - 1534 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 121 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 24 T + 259 T^{2} - 1416 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 174 T^{2} + 852 T^{3} + 10266 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 186 T^{2} + 1340 T^{3} + 10974 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 2 T + 203 T^{2} + 238 T^{3} + 16912 T^{4} + 14042 T^{5} + 706643 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 99 T^{2} - 266 T^{3} + 9056 T^{4} - 15694 T^{5} + 344619 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 4 T + 164 T^{2} + 404 T^{3} + 15719 T^{4} + 36528 T^{5} + 927421 T^{6} + 1406324 T^{7} + 33682156 T^{8} + 48469444 T^{9} + 714924299 T^{10} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 15 T + 248 T^{2} - 1877 T^{3} + 14632 T^{4} - 52215 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 + T + 128 T^{2} + 203 T^{3} + 7552 T^{4} + 3481 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 + 11 T + 407 T^{2} + 3330 T^{3} + 73908 T^{4} + 470630 T^{5} + 8334465 T^{6} + 42784951 T^{7} + 681366495 T^{8} + 2966908468 T^{9} + 44302162232 T^{10} + 175047599612 T^{11} + 2371836769095 T^{12} + 8787130451429 T^{13} + 100991721146865 T^{14} + 336464822838370 T^{15} + 3117478880339028 T^{16} + 8287209444447270 T^{17} + 59759988104958647 T^{18} + 95292954005204329 T^{19} + 511116753300641401 T^{20} )^{2} \))(\( ( 1 + 7 T + 291 T^{2} + 818 T^{3} + 36608 T^{4} - 9834 T^{5} + 3271101 T^{6} - 6599101 T^{7} + 259218183 T^{8} - 554218956 T^{9} + 17333140048 T^{10} - 32698918404 T^{11} + 902338495023 T^{12} - 1355316764279 T^{13} + 39637111684461 T^{14} - 7030565556366 T^{15} + 1544144975529728 T^{16} + 2035716914581942 T^{17} + 42727657342857411 T^{18} + 60640970730584573 T^{19} + 511116753300641401 T^{20} )^{2} \))(\( ( 1 - 179 T^{2} + 14304 T^{4} - 623099 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 68 T^{2} + 1206 T^{4} - 236708 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 366 T^{2} + 63505 T^{4} - 6759614 T^{6} + 481830644 T^{8} - 23530216334 T^{10} + 769513010305 T^{12} - 15438075312606 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 100 T^{2} + 4854 T^{4} - 348100 T^{6} + 12117361 T^{8} \))(\( 1 - 22 T^{2} + 3555 T^{4} - 76582 T^{6} + 12117361 T^{8} \))(\( 1 - 22 T^{2} + 3555 T^{4} - 76582 T^{6} + 12117361 T^{8} \))(\( 1 - 100 T^{2} + 4854 T^{4} - 348100 T^{6} + 12117361 T^{8} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 8 T - 62 T^{2} + 64 T^{3} + 8619 T^{4} + 3776 T^{5} - 215822 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 16 T - 120 T^{2} - 1732 T^{3} + 30497 T^{4} + 237268 T^{5} - 3131578 T^{6} - 10592064 T^{7} + 322714233 T^{8} + 449504696 T^{9} - 19819561882 T^{10} + 26520777064 T^{11} + 1123368245073 T^{12} - 2175387512256 T^{13} - 37946461125658 T^{14} + 169628658575132 T^{15} + 1286379734449577 T^{16} - 4310344371706508 T^{17} - 17619652512518520 T^{18} + 138607933098479024 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 22 T + 81 T^{2} + 850 T^{3} - 78 T^{4} - 15974 T^{5} - 1244609 T^{6} + 11678122 T^{7} + 7822360 T^{8} - 201727566 T^{9} - 1769410627 T^{10} - 20596334854 T^{11} + 475819307240 T^{12} - 1215183756386 T^{13} - 6159318392587 T^{14} - 41430605777514 T^{15} + 94786359991960 T^{16} + 8348973184486478 T^{17} - 52498271794391369 T^{18} - 39753718818498706 T^{19} - 11452774133137038 T^{20} + 7363546445856698150 T^{21} + 41400457017351953481 T^{22} - \)\(66\!\cdots\!98\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 38 T + 553 T^{2} - 4066 T^{3} + 29669 T^{4} - 394944 T^{5} + 3596192 T^{6} - 14086560 T^{7} + 24497420 T^{8} - 248081120 T^{9} - 1201390712 T^{10} + 72978830848 T^{11} - 864704492198 T^{12} + 6531825662348 T^{13} - 46847375790362 T^{14} + 385377714078532 T^{15} - 3010036337341238 T^{16} + 14988319300731392 T^{17} - 14557684959351032 T^{18} - 177359220811134880 T^{19} + 1033314248427706220 T^{20} - 35056538459991932640 T^{21} + \)\(52\!\cdots\!32\)\( T^{22} - \)\(34\!\cdots\!16\)\( T^{23} + \)\(15\!\cdots\!69\)\( T^{24} - \)\(12\!\cdots\!94\)\( T^{25} + \)\(98\!\cdots\!93\)\( T^{26} - \)\(39\!\cdots\!02\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 16 T - 138 T^{2} - 3664 T^{3} + 4183 T^{4} + 410312 T^{5} + 615954 T^{6} - 29468600 T^{7} - 83060855 T^{8} + 1406937464 T^{9} + 4040076084 T^{10} - 37396601608 T^{11} + 104664763726 T^{12} + 15350405944 T^{13} - 32247844972080 T^{14} + 18544648263000 T^{15} + 2597723592133402 T^{16} + 1094134247517000 T^{17} - 112254748347810480 T^{18} + 3152651022372776 T^{19} + 1268260726047647086 T^{20} - 26735739189581672792 T^{21} + \)\(17\!\cdots\!44\)\( T^{22} + \)\(35\!\cdots\!16\)\( T^{23} - \)\(12\!\cdots\!55\)\( T^{24} - \)\(25\!\cdots\!00\)\( T^{25} + \)\(31\!\cdots\!54\)\( T^{26} + \)\(12\!\cdots\!08\)\( T^{27} + \)\(74\!\cdots\!23\)\( T^{28} - \)\(38\!\cdots\!56\)\( T^{29} - \)\(85\!\cdots\!18\)\( T^{30} + \)\(58\!\cdots\!84\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 14 T - 82 T^{2} + 1756 T^{3} - 2710 T^{4} - 24966 T^{5} - 5086 T^{6} - 274778 T^{7} + 27912178 T^{8} - 497008764 T^{9} + 1064710294 T^{10} + 22914759758 T^{11} - 64213711673 T^{12} + 569197879460 T^{13} - 12202081652772 T^{14} + 19364437830136 T^{15} + 259375982883924 T^{16} - 2902707073244236 T^{17} + 36143883227608444 T^{18} - 171259717321409924 T^{19} + 902887796418939444 T^{20} + 3977048877115501544 T^{21} - \)\(14\!\cdots\!92\)\( T^{22} + \)\(40\!\cdots\!40\)\( T^{23} - \)\(27\!\cdots\!93\)\( T^{24} + \)\(57\!\cdots\!02\)\( T^{25} + \)\(15\!\cdots\!74\)\( T^{26} - \)\(43\!\cdots\!96\)\( T^{27} + \)\(14\!\cdots\!78\)\( T^{28} - \)\(82\!\cdots\!02\)\( T^{29} - \)\(90\!\cdots\!66\)\( T^{30} - \)\(26\!\cdots\!14\)\( T^{31} - \)\(16\!\cdots\!10\)\( T^{32} + \)\(64\!\cdots\!44\)\( T^{33} - \)\(17\!\cdots\!62\)\( T^{34} - \)\(17\!\cdots\!66\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 + 16 T - 173 T^{2} - 4268 T^{3} + 8037 T^{4} + 527824 T^{5} + 829670 T^{6} - 33997740 T^{7} - 102182634 T^{8} + 734704460 T^{9} - 1750304954 T^{10} + 54178636976 T^{11} + 1183039387075 T^{12} - 3501226929620 T^{13} - 110927478344891 T^{14} - 142530724215944 T^{15} + 4459432390834407 T^{16} + 25008533810161824 T^{17} + 39472516922399268 T^{18} - 812005372064499320 T^{19} - 11772118805643017068 T^{20} - 47908316951805459880 T^{21} + \)\(13\!\cdots\!08\)\( T^{22} + \)\(51\!\cdots\!96\)\( T^{23} + \)\(54\!\cdots\!27\)\( T^{24} - \)\(10\!\cdots\!56\)\( T^{25} - \)\(46\!\cdots\!31\)\( T^{26} - \)\(87\!\cdots\!80\)\( T^{27} + \)\(17\!\cdots\!75\)\( T^{28} + \)\(46\!\cdots\!64\)\( T^{29} - \)\(89\!\cdots\!54\)\( T^{30} + \)\(22\!\cdots\!40\)\( T^{31} - \)\(18\!\cdots\!54\)\( T^{32} - \)\(35\!\cdots\!60\)\( T^{33} + \)\(51\!\cdots\!70\)\( T^{34} + \)\(19\!\cdots\!76\)\( T^{35} + \)\(17\!\cdots\!17\)\( T^{36} - \)\(54\!\cdots\!92\)\( T^{37} - \)\(12\!\cdots\!33\)\( T^{38} + \)\(70\!\cdots\!24\)\( T^{39} + \)\(26\!\cdots\!01\)\( T^{40} \))
$61$ (\( 1 - 13 T + 61 T^{2} \))(\( 1 + 11 T + 61 T^{2} \))(\( 1 - 7 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 11 T + 148 T^{2} + 671 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 115 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 14 T + 147 T^{2} + 854 T^{3} + 3721 T^{4} \))(\( 1 - 2 T + 15 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 36 T^{2} + 578 T^{3} + 2196 T^{4} + 226981 T^{6} \))(\( 1 - 4 T + 132 T^{2} - 262 T^{3} + 8052 T^{4} - 14884 T^{5} + 226981 T^{6} \))(\( 1 - 6 T + 121 T^{2} - 866 T^{3} + 9380 T^{4} - 52826 T^{5} + 450241 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 - 2 T + 193 T^{2} - 226 T^{3} + 16300 T^{4} - 13786 T^{5} + 718153 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 246 T^{2} - 2642 T^{3} + 28105 T^{4} - 220396 T^{5} + 1714405 T^{6} - 9830882 T^{7} + 55837326 T^{8} - 221533456 T^{9} + 844596301 T^{10} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 23 T + 314 T^{2} + 2919 T^{3} + 19154 T^{4} + 85583 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + T + 106 T^{2} - 71 T^{3} + 6466 T^{4} + 3721 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 17 T + 335 T^{2} - 4264 T^{3} + 49055 T^{4} - 484205 T^{5} + 4426960 T^{6} - 37564131 T^{7} + 310404408 T^{8} - 2529217579 T^{9} + 19598560162 T^{10} - 154282272319 T^{11} + 1155014802168 T^{12} - 8526344018511 T^{13} + 61294984273360 T^{14} - 408957751925705 T^{15} + 2527331964278855 T^{16} - 13400655452793544 T^{17} + 64221949854089135 T^{18} - 198800483578180397 T^{19} + 713342911662882601 T^{20} )^{2} \))(\( ( 1 - 39 T + 951 T^{2} - 17248 T^{3} + 259735 T^{4} - 3372403 T^{5} + 39049984 T^{6} - 409043933 T^{7} + 3923831552 T^{8} - 34592326741 T^{9} + 281355699058 T^{10} - 2110131931201 T^{11} + 14600577204992 T^{12} - 92845200956273 T^{13} + 540679869516544 T^{14} - 2848319099281303 T^{15} + 13381644434654335 T^{16} - 54206028435690208 T^{17} + 182313654660414231 T^{18} - 456071697620531499 T^{19} + 713342911662882601 T^{20} )^{2} \))(\( ( 1 + 121 T^{2} + 7464 T^{4} + 450241 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 98 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 + 262 T^{2} + 39293 T^{4} + 3890814 T^{6} + 278453340 T^{8} + 14477718894 T^{10} + 544044630413 T^{12} + 13498338082582 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 100 T^{2} + 7894 T^{4} - 372100 T^{6} + 13845841 T^{8} \))(\( 1 - 158 T^{2} + 11883 T^{4} - 587918 T^{6} + 13845841 T^{8} \))(\( 1 - 158 T^{2} + 11883 T^{4} - 587918 T^{6} + 13845841 T^{8} \))(\( 1 - 100 T^{2} + 7894 T^{4} - 372100 T^{6} + 13845841 T^{8} \))(\( 1 - 6 T - 25 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 102 T^{2} - 16 T^{3} + 9227 T^{4} - 976 T^{5} - 379542 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} )^{5} \))(\( 1 - 14 T - 34 T^{2} + 1480 T^{3} - 7335 T^{4} + 4612 T^{5} + 37754 T^{6} - 3552710 T^{7} + 57180194 T^{8} - 336333010 T^{9} - 34088586 T^{10} + 22211083732 T^{11} - 252519141879 T^{12} + 1354876107652 T^{13} - 126843628506 T^{14} - 76341202942810 T^{15} + 791707874473154 T^{16} - 3000605724525710 T^{17} + 1945100213625194 T^{18} + 14494329959728852 T^{19} - 1406173140835056135 T^{20} + 17307336217394528680 T^{21} - 24253658996538008434 T^{22} - \)\(60\!\cdots\!54\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 4 T - 199 T^{2} + 1460 T^{3} + 20280 T^{4} - 228172 T^{5} - 932385 T^{6} + 22265588 T^{7} - 28242171 T^{8} - 1506231952 T^{9} + 9143226046 T^{10} + 69381238592 T^{11} - 933507930231 T^{12} - 1576121292172 T^{13} + 65410565812827 T^{14} - 96143398822492 T^{15} - 3473583008389551 T^{16} + 15748222916850752 T^{17} + 126595654059974686 T^{18} - 1272157935107209552 T^{19} - 1455047222687377731 T^{20} + 69975017176795145348 T^{21} - \)\(17\!\cdots\!85\)\( T^{22} - \)\(26\!\cdots\!52\)\( T^{23} + \)\(14\!\cdots\!80\)\( T^{24} + \)\(63\!\cdots\!60\)\( T^{25} - \)\(52\!\cdots\!79\)\( T^{26} - \)\(64\!\cdots\!24\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 26 T + 104 T^{2} - 3092 T^{3} - 30160 T^{4} + 125218 T^{5} + 2491960 T^{6} + 2423398 T^{7} - 63427738 T^{8} - 253960928 T^{9} - 6260098256 T^{10} - 56925530618 T^{11} + 402608367752 T^{12} + 6999625228870 T^{13} + 14318937712128 T^{14} - 218229508603248 T^{15} - 2258683175382065 T^{16} - 13312000024798128 T^{17} + 53280767226828288 T^{18} + 1588781934074141470 T^{19} + 5574451445163719432 T^{20} - 48079092592425044018 T^{21} - \)\(32\!\cdots\!16\)\( T^{22} - \)\(79\!\cdots\!88\)\( T^{23} - \)\(12\!\cdots\!78\)\( T^{24} + \)\(28\!\cdots\!18\)\( T^{25} + \)\(17\!\cdots\!60\)\( T^{26} + \)\(54\!\cdots\!98\)\( T^{27} - \)\(80\!\cdots\!60\)\( T^{28} - \)\(50\!\cdots\!52\)\( T^{29} + \)\(10\!\cdots\!64\)\( T^{30} + \)\(15\!\cdots\!26\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 26 T + 151 T^{2} - 946 T^{3} + 41421 T^{4} - 307896 T^{5} + 229596 T^{6} - 33928952 T^{7} + 318795742 T^{8} + 23672620 T^{9} + 22451218102 T^{10} - 223122525764 T^{11} - 103259600902 T^{12} - 14901480395872 T^{13} + 132426644691536 T^{14} + 135740094427872 T^{15} + 9024424589471059 T^{16} - 72511966519526654 T^{17} - 89985662983125147 T^{18} - 4423229957691125894 T^{19} + 33579883897421810539 T^{20} + 30810422373332814432 T^{21} + \)\(18\!\cdots\!76\)\( T^{22} - \)\(12\!\cdots\!72\)\( T^{23} - \)\(53\!\cdots\!22\)\( T^{24} - \)\(70\!\cdots\!44\)\( T^{25} + \)\(43\!\cdots\!62\)\( T^{26} + \)\(27\!\cdots\!20\)\( T^{27} + \)\(22\!\cdots\!42\)\( T^{28} - \)\(14\!\cdots\!72\)\( T^{29} + \)\(60\!\cdots\!16\)\( T^{30} - \)\(49\!\cdots\!76\)\( T^{31} + \)\(40\!\cdots\!61\)\( T^{32} - \)\(56\!\cdots\!46\)\( T^{33} + \)\(55\!\cdots\!11\)\( T^{34} - \)\(58\!\cdots\!46\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 + 20 T + 58 T^{2} - 688 T^{3} - 4961 T^{4} - 94672 T^{5} - 1212590 T^{6} - 7988220 T^{7} - 8285065 T^{8} + 734866904 T^{9} + 8357165580 T^{10} + 49616986464 T^{11} + 219802624978 T^{12} + 95726716896 T^{13} - 19525566306236 T^{14} - 351194227417768 T^{15} - 2737512287418419 T^{16} - 6837908662387348 T^{17} + 70343711423949934 T^{18} + 1002427074014356144 T^{19} + 8057856954828896145 T^{20} + 61148051514875724784 T^{21} + \)\(26\!\cdots\!14\)\( T^{22} - \)\(15\!\cdots\!88\)\( T^{23} - \)\(37\!\cdots\!79\)\( T^{24} - \)\(29\!\cdots\!68\)\( T^{25} - \)\(10\!\cdots\!96\)\( T^{26} + \)\(30\!\cdots\!16\)\( T^{27} + \)\(42\!\cdots\!18\)\( T^{28} + \)\(58\!\cdots\!24\)\( T^{29} + \)\(59\!\cdots\!80\)\( T^{30} + \)\(31\!\cdots\!44\)\( T^{31} - \)\(21\!\cdots\!65\)\( T^{32} - \)\(12\!\cdots\!20\)\( T^{33} - \)\(11\!\cdots\!90\)\( T^{34} - \)\(57\!\cdots\!72\)\( T^{35} - \)\(18\!\cdots\!21\)\( T^{36} - \)\(15\!\cdots\!48\)\( T^{37} + \)\(79\!\cdots\!98\)\( T^{38} + \)\(16\!\cdots\!20\)\( T^{39} + \)\(50\!\cdots\!01\)\( T^{40} \))
$67$ (\( 1 + 14 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 6 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 22 T + 238 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( ( 1 + 6 T + 67 T^{2} )^{2} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( 1 + 4 T + 90 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 93 T^{2} - 224 T^{3} + 6231 T^{4} - 35912 T^{5} + 300763 T^{6} \))(\( 1 + 173 T^{2} - 16 T^{3} + 11591 T^{4} + 300763 T^{6} \))(\( 1 + 8 T + 176 T^{2} + 1176 T^{3} + 17358 T^{4} + 78792 T^{5} + 790064 T^{6} + 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 12 T + 96 T^{2} - 180 T^{3} - 2706 T^{4} - 12060 T^{5} + 430944 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 16 T + 323 T^{2} - 3792 T^{3} + 43246 T^{4} - 364224 T^{5} + 2897482 T^{6} - 17022288 T^{7} + 97146449 T^{8} - 322417936 T^{9} + 1350125107 T^{10} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( ( 1 - 130 T^{2} + 4489 T^{4} )^{3} \))(\( 1 + 58 T^{2} + 13735 T^{4} + 511756 T^{6} + 61656415 T^{8} + 1168765018 T^{10} + 90458382169 T^{12} \))(\( 1 - 428 T^{2} + 99524 T^{4} - 16563640 T^{6} + 2222713174 T^{8} - 254734787908 T^{10} + 25671863713850 T^{12} - 2317293714434892 T^{14} + 190211097756591737 T^{16} - 14350217250745009068 T^{18} + \)\(99\!\cdots\!24\)\( T^{20} - \)\(64\!\cdots\!52\)\( T^{22} + \)\(38\!\cdots\!77\)\( T^{24} - \)\(20\!\cdots\!48\)\( T^{26} + \)\(10\!\cdots\!50\)\( T^{28} - \)\(46\!\cdots\!92\)\( T^{30} + \)\(18\!\cdots\!14\)\( T^{32} - \)\(60\!\cdots\!60\)\( T^{34} + \)\(16\!\cdots\!44\)\( T^{36} - \)\(31\!\cdots\!52\)\( T^{38} + \)\(33\!\cdots\!01\)\( T^{40} \))(\( 1 - 860 T^{2} + 368036 T^{4} - 104191816 T^{6} + 21885547798 T^{8} - 3626233790356 T^{10} + 491852500080410 T^{12} - 55930669460610204 T^{14} + 5415764148185626937 T^{16} - \)\(45\!\cdots\!56\)\( T^{18} + \)\(32\!\cdots\!44\)\( T^{20} - \)\(20\!\cdots\!84\)\( T^{22} + \)\(10\!\cdots\!77\)\( T^{24} - \)\(50\!\cdots\!76\)\( T^{26} + \)\(19\!\cdots\!10\)\( T^{28} - \)\(66\!\cdots\!44\)\( T^{30} + \)\(17\!\cdots\!78\)\( T^{32} - \)\(38\!\cdots\!64\)\( T^{34} + \)\(60\!\cdots\!16\)\( T^{36} - \)\(63\!\cdots\!40\)\( T^{38} + \)\(33\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 2 T + 102 T^{2} - 134 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 4 T + 126 T^{2} + 268 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 20 T + 328 T^{2} - 3940 T^{3} + 34654 T^{4} - 263980 T^{5} + 1472392 T^{6} - 6015260 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 4 T + 66 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8 T + 78 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8 T + 78 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 10 T + 33 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 6 T - 31 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 - 8 T - 3 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 116 T^{2} + 8967 T^{4} - 520724 T^{6} + 20151121 T^{8} \))(\( 1 - 2 T - 267 T^{2} + 110 T^{3} + 40515 T^{4} + 14246 T^{5} - 4368270 T^{6} - 1944286 T^{7} + 371318637 T^{8} + 75473064 T^{9} - 26816611665 T^{10} + 5056695288 T^{11} + 1666849361493 T^{12} - 584769290218 T^{13} - 88025537330670 T^{14} + 19233882274322 T^{15} + 3664921353577035 T^{16} + 666678276585530 T^{17} - 108420069907623147 T^{18} - 54413068792589894 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 21 T - 29 T^{2} + 2432 T^{3} + 10828 T^{4} - 264270 T^{5} - 1855963 T^{6} + 23054691 T^{7} + 194734678 T^{8} - 1242232577 T^{9} - 17698707077 T^{10} + 24783983624 T^{11} + 1426314178236 T^{12} + 1660526902808 T^{13} - 79449496068653 T^{14} - 373617596556251 T^{15} + 3924122059274038 T^{16} + 31126717153226937 T^{17} - 167887410345523747 T^{18} - 1601664255938709210 T^{19} + 4396900812583308748 T^{20} + 66166291651789311104 T^{21} - 52862296332001082021 T^{22} - \)\(25\!\cdots\!43\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 22 T - T^{2} - 2246 T^{3} + 5160 T^{4} + 158752 T^{5} - 2075471 T^{6} - 21747920 T^{7} + 139385789 T^{8} + 1129411752 T^{9} - 14043846150 T^{10} - 47940665784 T^{11} + 1392980991145 T^{12} + 2527751722532 T^{13} - 86622324076579 T^{14} + 169359365409644 T^{15} + 6253091669249905 T^{16} - 14418778463193192 T^{17} - 282999243074034150 T^{18} + 1524847162516057464 T^{19} + 12608612970289596341 T^{20} - \)\(13\!\cdots\!60\)\( T^{21} - \)\(84\!\cdots\!11\)\( T^{22} + \)\(43\!\cdots\!44\)\( T^{23} + \)\(94\!\cdots\!40\)\( T^{24} - \)\(27\!\cdots\!18\)\( T^{25} - \)\(81\!\cdots\!61\)\( T^{26} + \)\(12\!\cdots\!14\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 + 3 T - 155 T^{2} - 1154 T^{3} + 11261 T^{4} + 146367 T^{5} + 471788 T^{6} - 10013687 T^{7} - 140746845 T^{8} - 207027702 T^{9} + 12467839085 T^{10} + 88068910743 T^{11} - 209110467782 T^{12} - 8282526176479 T^{13} - 45958981645471 T^{14} + 240560678391970 T^{15} + 5464321868734324 T^{16} + 16117565452261990 T^{17} - 206309868606519319 T^{18} - 2491077420416353477 T^{19} - 4213810338641683622 T^{20} + \)\(11\!\cdots\!01\)\( T^{21} + \)\(11\!\cdots\!65\)\( T^{22} - \)\(12\!\cdots\!46\)\( T^{23} - \)\(57\!\cdots\!45\)\( T^{24} - \)\(27\!\cdots\!89\)\( T^{25} + \)\(85\!\cdots\!12\)\( T^{26} + \)\(17\!\cdots\!61\)\( T^{27} + \)\(92\!\cdots\!21\)\( T^{28} - \)\(63\!\cdots\!98\)\( T^{29} - \)\(56\!\cdots\!95\)\( T^{30} + \)\(73\!\cdots\!29\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 26 T + 187 T^{2} - 390 T^{3} - 8441 T^{4} + 248 T^{5} + 290314 T^{6} - 1959300 T^{7} - 87875514 T^{8} - 726707944 T^{9} + 2595557320 T^{10} + 65902616708 T^{11} + 135149497924 T^{12} - 2618226292964 T^{13} - 9217808695900 T^{14} + 199165827310244 T^{15} + 1935091151225461 T^{16} - 5275009421723050 T^{17} - 165999082988690509 T^{18} - 353425631255444350 T^{19} + 8686624177851094429 T^{20} + 59901711719310916172 T^{21} - \)\(18\!\cdots\!00\)\( T^{22} - \)\(35\!\cdots\!48\)\( T^{23} + \)\(12\!\cdots\!56\)\( T^{24} + \)\(39\!\cdots\!84\)\( T^{25} + \)\(10\!\cdots\!20\)\( T^{26} - \)\(19\!\cdots\!68\)\( T^{27} - \)\(16\!\cdots\!86\)\( T^{28} - \)\(23\!\cdots\!00\)\( T^{29} + \)\(23\!\cdots\!54\)\( T^{30} + \)\(13\!\cdots\!76\)\( T^{31} - \)\(31\!\cdots\!89\)\( T^{32} - \)\(95\!\cdots\!70\)\( T^{33} + \)\(30\!\cdots\!47\)\( T^{34} + \)\(28\!\cdots\!02\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 - T - 295 T^{2} - 426 T^{3} + 45088 T^{4} + 171250 T^{5} - 3583023 T^{6} - 31640199 T^{7} + 58730579 T^{8} + 3192494358 T^{9} + 24000250070 T^{10} - 158215955824 T^{11} - 3212006999908 T^{12} - 5972751083848 T^{13} + 196707593792894 T^{14} + 1696259224847846 T^{15} - 830261520728035 T^{16} - 139877516515178903 T^{17} - 977741429086225937 T^{18} + 4169309384648408574 T^{19} + 98139237100933855220 T^{20} + \)\(27\!\cdots\!58\)\( T^{21} - \)\(43\!\cdots\!93\)\( T^{22} - \)\(42\!\cdots\!89\)\( T^{23} - \)\(16\!\cdots\!35\)\( T^{24} + \)\(22\!\cdots\!22\)\( T^{25} + \)\(17\!\cdots\!86\)\( T^{26} - \)\(36\!\cdots\!04\)\( T^{27} - \)\(13\!\cdots\!28\)\( T^{28} - \)\(43\!\cdots\!28\)\( T^{29} + \)\(43\!\cdots\!30\)\( T^{30} + \)\(38\!\cdots\!14\)\( T^{31} + \)\(48\!\cdots\!19\)\( T^{32} - \)\(17\!\cdots\!13\)\( T^{33} - \)\(13\!\cdots\!67\)\( T^{34} + \)\(42\!\cdots\!50\)\( T^{35} + \)\(74\!\cdots\!28\)\( T^{36} - \)\(47\!\cdots\!02\)\( T^{37} - \)\(21\!\cdots\!55\)\( T^{38} - \)\(49\!\cdots\!03\)\( T^{39} + \)\(33\!\cdots\!01\)\( T^{40} \))
$71$ (\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 2 T + 126 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 108 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 - 8 T^{2} + 5041 T^{4} \))(\( 1 + 2 T + 68 T^{2} + 142 T^{3} + 5041 T^{4} \))(\( 1 + 2 T + 119 T^{2} - 68 T^{3} + 8449 T^{4} + 10082 T^{5} + 357911 T^{6} \))(\( 1 + 18 T + 255 T^{2} + 2284 T^{3} + 18105 T^{4} + 90738 T^{5} + 357911 T^{6} \))(\( 1 + 258 T^{2} + 26682 T^{4} + 1300578 T^{6} + 25411681 T^{8} \))(\( 1 - 4 T + 190 T^{2} - 692 T^{3} + 19074 T^{4} - 49132 T^{5} + 957790 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 6 T + 161 T^{2} + 392 T^{3} + 13184 T^{4} + 19748 T^{5} + 936064 T^{6} + 1976072 T^{7} + 57623671 T^{8} + 152470086 T^{9} + 1804229351 T^{10} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 191 T^{2} + 1402 T^{3} + 13561 T^{4} + 60492 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 8 T + 219 T^{2} + 1134 T^{3} + 15549 T^{4} + 40328 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 36 T + 976 T^{2} - 19438 T^{3} + 331117 T^{4} - 4790434 T^{5} + 62063776 T^{6} - 716228202 T^{7} + 7550418114 T^{8} - 72276130322 T^{9} + 637462169120 T^{10} - 5131605252862 T^{11} + 38061657712674 T^{12} - 256345952006022 T^{13} + 1577144877367456 T^{14} - 8643041626828334 T^{15} + 42416181711069757 T^{16} - 176790945638804258 T^{17} + 630255446495862736 T^{18} - 1650546025864165116 T^{19} + 3255243551009881201 T^{20} )^{2} \))(\( ( 1 + 276 T^{2} + 778 T^{3} + 36429 T^{4} + 196426 T^{5} + 3736592 T^{6} + 23142226 T^{7} + 350659810 T^{8} + 1917129650 T^{9} + 27778410936 T^{10} + 136116205150 T^{11} + 1767676102210 T^{12} + 8282857249886 T^{13} + 94953083931152 T^{14} + 354397554499526 T^{15} + 4666565242958109 T^{16} + 7076003483228198 T^{17} + 178227974623830036 T^{18} + 3255243551009881201 T^{20} )^{2} \))(\( ( 1 - 18 T + 190 T^{2} - 1278 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 + 94 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 6 T + 200 T^{2} + 974 T^{3} + 18254 T^{4} + 69154 T^{5} + 1008200 T^{6} + 2147466 T^{7} + 25411681 T^{8} )^{4} \))(\( 1 - 148 T^{2} + 10950 T^{4} - 746068 T^{6} + 25411681 T^{8} \))(\( 1 - 176 T^{2} + 15234 T^{4} - 887216 T^{6} + 25411681 T^{8} \))(\( 1 - 176 T^{2} + 15234 T^{4} - 887216 T^{6} + 25411681 T^{8} \))(\( 1 - 148 T^{2} + 10950 T^{4} - 746068 T^{6} + 25411681 T^{8} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 108 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 32 T + 650 T^{2} - 8924 T^{3} + 99379 T^{4} - 897062 T^{5} + 7055909 T^{6} - 44985884 T^{7} + 232642150 T^{8} - 813173792 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 8 T + 287 T^{2} - 1604 T^{3} + 33839 T^{4} - 138794 T^{5} + 2627442 T^{6} - 9854374 T^{7} + 170582399 T^{8} - 574089244 T^{9} + 7293152447 T^{10} - 14433834808 T^{11} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 26 T + 665 T^{2} + 10630 T^{3} + 159230 T^{4} + 1829564 T^{5} + 19655736 T^{6} + 171237462 T^{7} + 1395557256 T^{8} + 9222832124 T^{9} + 56990168530 T^{10} + 270126169030 T^{11} + 1199812518415 T^{12} + 3330607381946 T^{13} + 9095120158391 T^{14} )^{2} \))(\( ( 1 + 30 T + 734 T^{2} + 12240 T^{3} + 180597 T^{4} + 2201814 T^{5} + 24532226 T^{6} + 238708266 T^{7} + 2139475508 T^{8} + 16948286886 T^{9} + 123666951266 T^{10} + 788053450554 T^{11} + 4589273353557 T^{12} + 22083767256240 T^{13} + 94025608398014 T^{14} + 272853604751730 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 2 T + 292 T^{2} + 92 T^{3} + 43446 T^{4} - 61338 T^{5} + 4327759 T^{6} - 13716972 T^{7} + 343507634 T^{8} - 1322711068 T^{9} + 24389042014 T^{10} - 69147255852 T^{11} + 1548952551449 T^{12} - 1558701689178 T^{13} + 78386548383546 T^{14} + 11785226120732 T^{15} + 2655775086250172 T^{16} + 1291507062491522 T^{17} + 45848500718449031 T^{18} )^{2} \))(\( ( 1 - 22 T + 497 T^{2} - 7886 T^{3} + 114340 T^{4} - 1413606 T^{5} + 16463503 T^{6} - 170157042 T^{7} + 1694242959 T^{8} - 15394245192 T^{9} + 134851157912 T^{10} - 1092991408632 T^{11} + 8540678756319 T^{12} - 60901077059262 T^{13} + 418365286378543 T^{14} - 2550469435949706 T^{15} + 14646986463527140 T^{16} - 71724117569071426 T^{17} + 320939505029143217 T^{18} - 1008667015805878682 T^{19} + 3255243551009881201 T^{20} )^{2} \))
$73$ (\( 1 + 8 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 14 T + 178 T^{2} + 1022 T^{3} + 5329 T^{4} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 - 16 T + 186 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( 1 + 4 T + 42 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 2 T + 203 T^{2} + 276 T^{3} + 14819 T^{4} + 10658 T^{5} + 389017 T^{6} \))(\( 1 - 14 T + 267 T^{2} - 2060 T^{3} + 19491 T^{4} - 74606 T^{5} + 389017 T^{6} \))(\( 1 - 4 T + 112 T^{2} + 148 T^{3} + 4318 T^{4} + 10804 T^{5} + 596848 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 20 T + 416 T^{2} - 4604 T^{3} + 50046 T^{4} - 336092 T^{5} + 2216864 T^{6} - 7780340 T^{7} + 28398241 T^{8} \))(\( 1 - 2 T + 121 T^{2} + 240 T^{3} + 13998 T^{4} - 10908 T^{5} + 1021854 T^{6} + 1278960 T^{7} + 47071057 T^{8} - 56796482 T^{9} + 2073071593 T^{10} \))(\( ( 1 - 73 T^{2} )^{2} \))(\( 1 - 130 T^{2} + 5329 T^{4} \))(\( 1 - 214 T^{2} + 26303 T^{4} - 2177460 T^{6} + 140168687 T^{8} - 6077223574 T^{10} + 151334226289 T^{12} \))(\( 1 - 358 T^{2} + 57215 T^{4} - 5315604 T^{6} + 304898735 T^{8} - 10166570278 T^{10} + 151334226289 T^{12} \))(\( 1 - 936 T^{2} + 438364 T^{4} - 136338996 T^{6} + 31533022886 T^{8} - 5757351991336 T^{10} + 860098254780642 T^{12} - 107563201317401920 T^{14} + 11429183850756931913 T^{16} - \)\(10\!\cdots\!68\)\( T^{18} + \)\(81\!\cdots\!68\)\( T^{20} - \)\(55\!\cdots\!72\)\( T^{22} + \)\(32\!\cdots\!33\)\( T^{24} - \)\(16\!\cdots\!80\)\( T^{26} + \)\(69\!\cdots\!02\)\( T^{28} - \)\(24\!\cdots\!64\)\( T^{30} + \)\(72\!\cdots\!06\)\( T^{32} - \)\(16\!\cdots\!64\)\( T^{34} + \)\(28\!\cdots\!04\)\( T^{36} - \)\(32\!\cdots\!84\)\( T^{38} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 - 840 T^{2} + 338748 T^{4} - 87754740 T^{6} + 16504326726 T^{8} - 2418252763080 T^{10} + 289904194790306 T^{12} - 29570586397109664 T^{14} + 2655840494932708265 T^{16} - \)\(21\!\cdots\!04\)\( T^{18} + \)\(16\!\cdots\!00\)\( T^{20} - \)\(11\!\cdots\!16\)\( T^{22} + \)\(75\!\cdots\!65\)\( T^{24} - \)\(44\!\cdots\!96\)\( T^{26} + \)\(23\!\cdots\!86\)\( T^{28} - \)\(10\!\cdots\!20\)\( T^{30} + \)\(37\!\cdots\!46\)\( T^{32} - \)\(10\!\cdots\!60\)\( T^{34} + \)\(22\!\cdots\!28\)\( T^{36} - \)\(29\!\cdots\!60\)\( T^{38} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 98 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 + 208 T^{2} + 19746 T^{4} + 1108432 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 408 T^{2} + 81340 T^{4} + 10280488 T^{6} + 894736454 T^{8} + 54784720552 T^{10} + 2309912922940 T^{12} + 61744364325912 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 2 T^{2} + 5329 T^{4} )^{2} \))(\( 1 - 140 T^{2} + 14406 T^{4} - 746060 T^{6} + 28398241 T^{8} \))(\( 1 - 140 T^{2} + 14406 T^{4} - 746060 T^{6} + 28398241 T^{8} \))(\( ( 1 - 2 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 13 T + 96 T^{2} - 949 T^{3} + 5329 T^{4} \))(\( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 + 18 T - 49 T^{2} - 1662 T^{3} + 13343 T^{4} + 162568 T^{5} - 1370398 T^{6} - 9897680 T^{7} + 88636669 T^{8} + 8476394 T^{9} - 9785283503 T^{10} + 618776762 T^{11} + 472344809101 T^{12} - 3850365780560 T^{13} - 38916892669918 T^{14} + 337015102730824 T^{15} + 2019252581374127 T^{16} - 18360776338739214 T^{17} - 39516544502809969 T^{18} + 1059688560748822434 T^{19} + 4297625829703557649 T^{20} \))(\( 1 - 11 T - 107 T^{2} + 3202 T^{3} - 11792 T^{4} - 277904 T^{5} + 2971987 T^{6} + 4840405 T^{7} - 224432496 T^{8} + 637147811 T^{9} + 8286577529 T^{10} - 29157973144 T^{11} - 265318276282 T^{12} - 2128532039512 T^{13} + 44159171652041 T^{14} + 247861329991787 T^{15} - 6373488109639536 T^{16} + 10034506104115165 T^{17} + 449763353185966243 T^{18} - 3070116238051132688 T^{19} - 9509777403615003152 T^{20} + \)\(18\!\cdots\!26\)\( T^{21} - \)\(45\!\cdots\!43\)\( T^{22} - \)\(34\!\cdots\!47\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 24 T + 159 T^{2} - 740 T^{3} + 11829 T^{4} + 5724 T^{5} - 860180 T^{6} + 3879568 T^{7} - 96090648 T^{8} + 681176472 T^{9} - 1122422788 T^{10} + 31660838164 T^{11} + 380478408354 T^{12} - 6165483998268 T^{13} + 24332683671938 T^{14} - 450080331873564 T^{15} + 2027569438118466 T^{16} + 12316604280044788 T^{17} - 31874832837515908 T^{18} + 1412127593923159896 T^{19} - 14541803868688645272 T^{20} + 42859133777936110096 T^{21} - \)\(69\!\cdots\!80\)\( T^{22} + \)\(33\!\cdots\!12\)\( T^{23} + \)\(50\!\cdots\!21\)\( T^{24} - \)\(23\!\cdots\!80\)\( T^{25} + \)\(36\!\cdots\!39\)\( T^{26} - \)\(40\!\cdots\!92\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 + 15 T - 169 T^{2} - 4580 T^{3} + 2362 T^{4} + 683916 T^{5} + 3167471 T^{6} - 57770381 T^{7} - 531547851 T^{8} + 3000414420 T^{9} + 50801411152 T^{10} - 93765847604 T^{11} - 3733436218246 T^{12} + 2782631971654 T^{13} + 273522096464330 T^{14} - 60926408636984 T^{15} - 20086988721716372 T^{16} - 4447627830499832 T^{17} + 1457599252058414570 T^{18} + 1082491141716924118 T^{19} - \)\(10\!\cdots\!86\)\( T^{20} - \)\(19\!\cdots\!72\)\( T^{21} + \)\(76\!\cdots\!28\)\( T^{22} + \)\(33\!\cdots\!40\)\( T^{23} - \)\(42\!\cdots\!31\)\( T^{24} - \)\(34\!\cdots\!53\)\( T^{25} + \)\(13\!\cdots\!79\)\( T^{26} + \)\(21\!\cdots\!32\)\( T^{27} + \)\(54\!\cdots\!02\)\( T^{28} - \)\(76\!\cdots\!40\)\( T^{29} - \)\(20\!\cdots\!21\)\( T^{30} + \)\(13\!\cdots\!55\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 4 T - 479 T^{2} + 792 T^{3} + 125950 T^{4} + 12848 T^{5} - 22835051 T^{6} - 33996420 T^{7} + 3162666606 T^{8} + 7883931308 T^{9} - 352052927951 T^{10} - 1092556243864 T^{11} + 32819748613951 T^{12} + 104026257769756 T^{13} - 2668360765704898 T^{14} - 6662548557032548 T^{15} + 199805474661263380 T^{16} + 194516454637555700 T^{17} - 14573170138737372346 T^{18} + 14199701188541566100 T^{19} + \)\(10\!\cdots\!20\)\( T^{20} - \)\(25\!\cdots\!16\)\( T^{21} - \)\(75\!\cdots\!18\)\( T^{22} + \)\(21\!\cdots\!08\)\( T^{23} + \)\(49\!\cdots\!39\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} - \)\(28\!\cdots\!31\)\( T^{26} + \)\(46\!\cdots\!04\)\( T^{27} + \)\(13\!\cdots\!94\)\( T^{28} - \)\(10\!\cdots\!40\)\( T^{29} - \)\(52\!\cdots\!71\)\( T^{30} + \)\(21\!\cdots\!84\)\( T^{31} + \)\(15\!\cdots\!50\)\( T^{32} + \)\(70\!\cdots\!44\)\( T^{33} - \)\(31\!\cdots\!19\)\( T^{34} - \)\(18\!\cdots\!12\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - T - 443 T^{2} + 2918 T^{3} + 101627 T^{4} - 1112779 T^{5} - 12563710 T^{6} + 231158229 T^{7} + 629908636 T^{8} - 29785286211 T^{9} + 67952527602 T^{10} + 2425957278685 T^{11} - 16222296212487 T^{12} - 94611055496248 T^{13} + 1473126541400603 T^{14} - 3241040371996165 T^{15} - 50522527331277781 T^{16} + 657435289812132118 T^{17} - 3319876471604352052 T^{18} - 25045766770831621562 T^{19} + \)\(50\!\cdots\!44\)\( T^{20} - \)\(18\!\cdots\!26\)\( T^{21} - \)\(17\!\cdots\!08\)\( T^{22} + \)\(25\!\cdots\!06\)\( T^{23} - \)\(14\!\cdots\!21\)\( T^{24} - \)\(67\!\cdots\!45\)\( T^{25} + \)\(22\!\cdots\!67\)\( T^{26} - \)\(10\!\cdots\!56\)\( T^{27} - \)\(13\!\cdots\!47\)\( T^{28} + \)\(14\!\cdots\!05\)\( T^{29} + \)\(29\!\cdots\!98\)\( T^{30} - \)\(93\!\cdots\!47\)\( T^{31} + \)\(14\!\cdots\!56\)\( T^{32} + \)\(38\!\cdots\!57\)\( T^{33} - \)\(15\!\cdots\!90\)\( T^{34} - \)\(99\!\cdots\!03\)\( T^{35} + \)\(66\!\cdots\!47\)\( T^{36} + \)\(13\!\cdots\!54\)\( T^{37} - \)\(15\!\cdots\!67\)\( T^{38} - \)\(25\!\cdots\!37\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))
$79$ (\( 1 + 14 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 4 T + 94 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 156 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 120 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 10 T + 108 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 + 18 T + 287 T^{2} + 2588 T^{3} + 22673 T^{4} + 112338 T^{5} + 493039 T^{6} \))(\( 1 - 2 T - 9 T^{2} + 292 T^{3} - 711 T^{4} - 12482 T^{5} + 493039 T^{6} \))(\( 1 + 290 T^{2} + 33466 T^{4} + 1809890 T^{6} + 38950081 T^{8} \))(\( 1 + 4 T + 206 T^{2} + 596 T^{3} + 21154 T^{4} + 47084 T^{5} + 1285646 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 - 42 T + 1065 T^{2} - 18336 T^{3} + 239440 T^{4} - 2398060 T^{5} + 18915760 T^{6} - 114434976 T^{7} + 525086535 T^{8} - 1635903402 T^{9} + 3077056399 T^{10} \))(\( ( 1 - 14 T + 79 T^{2} )^{2} \))(\( ( 1 + 2 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 193 T^{2} + 670 T^{3} + 15247 T^{4} + 24964 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 16 T + 285 T^{2} - 2530 T^{3} + 22515 T^{4} - 99856 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 2 T + 382 T^{2} - 236 T^{3} + 75401 T^{4} + 1610 T^{5} + 10724928 T^{6} + 1802770 T^{7} + 1182764310 T^{8} + 260660158 T^{9} + 103760069636 T^{10} + 20592152482 T^{11} + 7381632058710 T^{12} + 888835918030 T^{13} + 417736814319168 T^{14} + 4954060802390 T^{15} + 18329037233738921 T^{16} - 4532122520733524 T^{17} + 579535565384306302 T^{18} - 239703191965236638 T^{19} + 9468276082626847201 T^{20} )^{2} \))(\( ( 1 + 26 T + 722 T^{2} + 12736 T^{3} + 221769 T^{4} + 3052578 T^{5} + 41043696 T^{6} + 467927082 T^{7} + 5206423382 T^{8} + 50541132238 T^{9} + 478939578876 T^{10} + 3992749446802 T^{11} + 32493288327062 T^{12} + 230706300582198 T^{13} + 1598655283739376 T^{14} + 9392954668346622 T^{15} + 53909261923436649 T^{16} + 244580984847721024 T^{17} + 1095352560752537042 T^{18} + 3116141495548076294 T^{19} + 9468276082626847201 T^{20} )^{2} \))(\( ( 1 - 132 T^{2} + 8390 T^{4} - 823812 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 300 T^{2} + 34934 T^{4} - 1872300 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 332 T^{2} + 59108 T^{4} - 7101044 T^{6} + 639039030 T^{8} - 44317615604 T^{10} + 2302261387748 T^{12} - 80705035232972 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( 1 - 272 T^{2} + 30690 T^{4} - 1697552 T^{6} + 38950081 T^{8} \))(\( 1 - 272 T^{2} + 30690 T^{4} - 1697552 T^{6} + 38950081 T^{8} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 - 17 T + 79 T^{2} )^{2}( 1 + 13 T + 79 T^{2} )^{2} \))(\( 1 + 8 T - 79 T^{2} - 808 T^{3} - 5853 T^{4} - 43360 T^{5} + 326178 T^{6} + 3518432 T^{7} + 49791621 T^{8} + 49334600 T^{9} - 5607217645 T^{10} + 3897433400 T^{11} + 310749506661 T^{12} + 1734724194848 T^{13} + 12704659520418 T^{14} - 133421165460640 T^{15} - 1422790877164413 T^{16} - 15516758460816472 T^{17} - 119851595982618319 T^{18} + 958812767860946552 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 13 T - 237 T^{2} + 4616 T^{3} + 27678 T^{4} - 881170 T^{5} - 214391 T^{6} + 105060893 T^{7} - 381794884 T^{8} - 7983951031 T^{9} + 68744273247 T^{10} + 261411098482 T^{11} - 6706311622536 T^{12} + 20651476780078 T^{13} + 429033009334527 T^{14} - 3936399232373209 T^{15} - 14870941657185604 T^{16} + 323278293090304307 T^{17} - 52115762676602711 T^{18} - 16921908481333726030 T^{19} + 41990537640593795358 T^{20} + \)\(55\!\cdots\!04\)\( T^{21} - \)\(22\!\cdots\!37\)\( T^{22} - \)\(97\!\cdots\!27\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 337 T^{2} - 480 T^{3} + 53924 T^{4} + 129648 T^{5} - 6333299 T^{6} - 13452976 T^{7} + 694252777 T^{8} + 729098816 T^{9} - 72116875238 T^{10} - 32425339520 T^{11} + 6749129230797 T^{12} + 1064591559696 T^{13} - 563723446646519 T^{14} + 84102733215984 T^{15} + 42121315529404077 T^{16} - 15986956971601280 T^{17} - 2808958131986994278 T^{18} + 2243478177276123584 T^{19} + \)\(16\!\cdots\!17\)\( T^{20} - \)\(25\!\cdots\!84\)\( T^{21} - \)\(96\!\cdots\!39\)\( T^{22} + \)\(15\!\cdots\!12\)\( T^{23} + \)\(51\!\cdots\!24\)\( T^{24} - \)\(35\!\cdots\!20\)\( T^{25} - \)\(19\!\cdots\!17\)\( T^{26} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 + 11 T - 311 T^{2} - 4710 T^{3} + 38411 T^{4} + 861799 T^{5} - 2387548 T^{6} - 90268797 T^{7} + 186004047 T^{8} + 6862398628 T^{9} - 35319018287 T^{10} - 536169477877 T^{11} + 4382245369434 T^{12} + 41465691719377 T^{13} - 311498559139371 T^{14} - 1514690906453276 T^{15} + 19792536152037204 T^{16} - 119660581609808804 T^{17} - 1944062507588814411 T^{18} + 20444203179629916703 T^{19} + \)\(17\!\cdots\!54\)\( T^{20} - \)\(16\!\cdots\!23\)\( T^{21} - \)\(85\!\cdots\!27\)\( T^{22} + \)\(13\!\cdots\!52\)\( T^{23} + \)\(28\!\cdots\!67\)\( T^{24} - \)\(10\!\cdots\!43\)\( T^{25} - \)\(22\!\cdots\!48\)\( T^{26} + \)\(64\!\cdots\!21\)\( T^{27} + \)\(22\!\cdots\!51\)\( T^{28} - \)\(21\!\cdots\!90\)\( T^{29} - \)\(11\!\cdots\!91\)\( T^{30} + \)\(32\!\cdots\!89\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 32 T + 189 T^{2} - 4640 T^{3} - 63975 T^{4} + 90560 T^{5} + 5011200 T^{6} + 16796608 T^{7} + 68135838 T^{8} + 1223798272 T^{9} - 27376741562 T^{10} - 419565268736 T^{11} + 581058125294 T^{12} + 24579979128320 T^{13} - 2830845841256 T^{14} + 375433516594432 T^{15} + 18493477683400967 T^{16} - 53686309824539872 T^{17} - 2479565681559261285 T^{18} - 4241218476138649888 T^{19} + \)\(11\!\cdots\!47\)\( T^{20} + \)\(18\!\cdots\!48\)\( T^{21} - \)\(11\!\cdots\!36\)\( T^{22} + \)\(75\!\cdots\!80\)\( T^{23} + \)\(14\!\cdots\!74\)\( T^{24} - \)\(80\!\cdots\!24\)\( T^{25} - \)\(41\!\cdots\!82\)\( T^{26} + \)\(14\!\cdots\!68\)\( T^{27} + \)\(64\!\cdots\!38\)\( T^{28} + \)\(12\!\cdots\!32\)\( T^{29} + \)\(29\!\cdots\!00\)\( T^{30} + \)\(42\!\cdots\!40\)\( T^{31} - \)\(23\!\cdots\!75\)\( T^{32} - \)\(13\!\cdots\!60\)\( T^{33} + \)\(43\!\cdots\!69\)\( T^{34} + \)\(58\!\cdots\!88\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 + 19 T + 67 T^{2} - 512 T^{3} - 10004 T^{4} - 102680 T^{5} + 557683 T^{6} + 9725493 T^{7} - 12250825 T^{8} + 382645306 T^{9} + 10218812826 T^{10} + 63290194752 T^{11} + 625219104040 T^{12} + 17796289776 T^{13} - 74487394066094 T^{14} - 42781618948610 T^{15} + 2156090509967653 T^{16} - 15143658436363715 T^{17} + 274784592735041725 T^{18} + 4032793189535174768 T^{19} + 15662437950813640908 T^{20} + \)\(31\!\cdots\!72\)\( T^{21} + \)\(17\!\cdots\!25\)\( T^{22} - \)\(74\!\cdots\!85\)\( T^{23} + \)\(83\!\cdots\!93\)\( T^{24} - \)\(13\!\cdots\!90\)\( T^{25} - \)\(18\!\cdots\!74\)\( T^{26} + \)\(34\!\cdots\!84\)\( T^{27} + \)\(94\!\cdots\!40\)\( T^{28} + \)\(75\!\cdots\!88\)\( T^{29} + \)\(96\!\cdots\!26\)\( T^{30} + \)\(28\!\cdots\!74\)\( T^{31} - \)\(72\!\cdots\!25\)\( T^{32} + \)\(45\!\cdots\!27\)\( T^{33} + \)\(20\!\cdots\!23\)\( T^{34} - \)\(29\!\cdots\!20\)\( T^{35} - \)\(23\!\cdots\!84\)\( T^{36} - \)\(93\!\cdots\!08\)\( T^{37} + \)\(96\!\cdots\!87\)\( T^{38} + \)\(21\!\cdots\!61\)\( T^{39} + \)\(89\!\cdots\!01\)\( T^{40} \))
$83$ (\( 1 - 11 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 - 5 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 + 15 T + 218 T^{2} + 1245 T^{3} + 6889 T^{4} \))(\( 1 - 6 T - 25 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( ( 1 + 9 T + 83 T^{2} )^{2} \))(\( 1 + 2 T + 155 T^{2} + 166 T^{3} + 6889 T^{4} \))(\( 1 - 10 T + 190 T^{2} - 1584 T^{3} + 15770 T^{4} - 68890 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 114 T^{2} - 1288 T^{3} + 9462 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 117 T^{2} - 1478 T^{3} + 12284 T^{4} - 122674 T^{5} + 806013 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 14 T + 285 T^{2} - 3094 T^{3} + 34668 T^{4} - 256802 T^{5} + 1963365 T^{6} - 8005018 T^{7} + 47458321 T^{8} \))(\( 1 + 22 T + 432 T^{2} + 5200 T^{3} + 64115 T^{4} + 577172 T^{5} + 5321545 T^{6} + 35822800 T^{7} + 247011984 T^{8} + 1044083062 T^{9} + 3939040643 T^{10} \))(\( 1 + 30 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 199 T^{2} + 21726 T^{4} - 1728427 T^{6} + 149670414 T^{8} - 9444205879 T^{10} + 326940373369 T^{12} \))(\( 1 - 431 T^{2} + 82158 T^{4} - 8840003 T^{6} + 565986462 T^{8} - 20454536351 T^{10} + 326940373369 T^{12} \))(\( 1 - 685 T^{2} + 254131 T^{4} - 65345072 T^{6} + 12947358623 T^{8} - 2092210467133 T^{10} + 286385049310552 T^{12} - 34110090479625375 T^{14} + 3608900681760218544 T^{16} - \)\(34\!\cdots\!51\)\( T^{18} + \)\(29\!\cdots\!22\)\( T^{20} - \)\(23\!\cdots\!39\)\( T^{22} + \)\(17\!\cdots\!24\)\( T^{24} - \)\(11\!\cdots\!75\)\( T^{26} + \)\(64\!\cdots\!32\)\( T^{28} - \)\(32\!\cdots\!17\)\( T^{30} + \)\(13\!\cdots\!03\)\( T^{32} - \)\(48\!\cdots\!88\)\( T^{34} + \)\(12\!\cdots\!11\)\( T^{36} - \)\(23\!\cdots\!65\)\( T^{38} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( 1 - 565 T^{2} + 146323 T^{4} - 22297440 T^{6} + 2107834031 T^{8} - 114807579093 T^{10} + 2731866902904 T^{12} - 212169470725031 T^{14} + 77833540515327648 T^{16} - 12865723835530791335 T^{18} + \)\(13\!\cdots\!22\)\( T^{20} - \)\(88\!\cdots\!15\)\( T^{22} + \)\(36\!\cdots\!08\)\( T^{24} - \)\(69\!\cdots\!39\)\( T^{26} + \)\(61\!\cdots\!64\)\( T^{28} - \)\(17\!\cdots\!57\)\( T^{30} + \)\(22\!\cdots\!91\)\( T^{32} - \)\(16\!\cdots\!60\)\( T^{34} + \)\(74\!\cdots\!63\)\( T^{36} - \)\(19\!\cdots\!85\)\( T^{38} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 205 T^{2} + 23616 T^{4} + 1412245 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 164 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 198 T^{2} + 31805 T^{4} + 3108638 T^{6} + 297770844 T^{8} + 21415407182 T^{10} + 1509411899405 T^{12} + 64734193927062 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{4} \))(\( ( 1 - 6 T - 25 T^{2} - 498 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 6 T - 25 T^{2} + 498 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{4} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 10 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 16 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 152 T^{2} - 996 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 2 T + 325 T^{2} - 338 T^{3} + 46432 T^{4} - 29016 T^{5} + 3853856 T^{6} - 2328482 T^{7} + 185830775 T^{8} - 94916642 T^{9} + 3939040643 T^{10} )^{2} \))(\( ( 1 + 10 T + 254 T^{2} + 3048 T^{3} + 39479 T^{4} + 376054 T^{5} + 4204388 T^{6} + 31212482 T^{7} + 271970831 T^{8} + 1742806776 T^{9} + 12054413534 T^{10} + 39390406430 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 20 T + 365 T^{2} + 3872 T^{3} + 44982 T^{4} + 404130 T^{5} + 4508996 T^{6} + 38753682 T^{7} + 374246668 T^{8} + 2784051570 T^{9} + 25720122834 T^{10} + 183758618912 T^{11} + 1437749834695 T^{12} + 6538807467380 T^{13} + 27136050989627 T^{14} )^{2} \))(\( ( 1 - 12 T + 362 T^{2} - 2396 T^{3} + 57005 T^{4} - 259478 T^{5} + 6369642 T^{6} - 19799396 T^{7} + 555721436 T^{8} - 1643349868 T^{9} + 43880463738 T^{10} - 148366147186 T^{11} + 2705361588605 T^{12} - 9437941380628 T^{13} + 118352415159578 T^{14} - 325632611875524 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 24 T + 807 T^{2} + 14286 T^{3} + 274749 T^{4} + 3841074 T^{5} + 53568009 T^{6} + 608955714 T^{7} + 6675720090 T^{8} + 62221544716 T^{9} + 554084767470 T^{10} + 4195095913746 T^{11} + 30629491162083 T^{12} + 182290922876754 T^{13} + 1082247477623607 T^{14} + 4670670173949534 T^{15} + 21898793148628989 T^{16} + 54055013571336984 T^{17} + 186940255267540403 T^{18} )^{2} \))(\( ( 1 - 20 T + 668 T^{2} - 10430 T^{3} + 208390 T^{4} - 2695696 T^{5} + 40491974 T^{6} - 444131704 T^{7} + 5434991545 T^{8} - 51074135034 T^{9} + 527282814300 T^{10} - 4239153207822 T^{11} + 37441656753505 T^{12} - 253948734635048 T^{13} + 1921681100015654 T^{14} - 10618456105172528 T^{15} + 68131104406365910 T^{16} - 283029011821809610 T^{17} + 1504531211068879388 T^{18} - 3738805105350808060 T^{19} + 15516041187205853449 T^{20} )^{2} \))
$89$ (\( 1 + 9 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 13 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 + 17 T + 212 T^{2} + 1513 T^{3} + 7921 T^{4} \))(\( 1 - 14 T + 177 T^{2} - 1246 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 133 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 139 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 2 T - 28 T^{2} + 1106 T^{3} - 2492 T^{4} - 15842 T^{5} + 704969 T^{6} \))(\( 1 + 10 T + 200 T^{2} + 1778 T^{3} + 17800 T^{4} + 79210 T^{5} + 704969 T^{6} \))(\( 1 - 18 T + 255 T^{2} - 2594 T^{3} + 29096 T^{4} - 230866 T^{5} + 2019855 T^{6} - 12689442 T^{7} + 62742241 T^{8} \))(\( 1 + 6 T + 231 T^{2} + 1758 T^{3} + 25464 T^{4} + 156462 T^{5} + 1829751 T^{6} + 4229814 T^{7} + 62742241 T^{8} \))(\( 1 + 10 T + 202 T^{2} + 1822 T^{3} + 26405 T^{4} + 244592 T^{5} + 2350045 T^{6} + 14432062 T^{7} + 142403738 T^{8} + 627422410 T^{9} + 5584059449 T^{10} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 21 T + 356 T^{2} - 3505 T^{3} + 31684 T^{4} - 166341 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 - 13 T + 156 T^{2} - 1833 T^{3} + 13884 T^{4} - 102973 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 - 3 T + 471 T^{2} - 572 T^{3} + 110521 T^{4} + 34189 T^{5} + 17467996 T^{6} + 25520951 T^{7} + 2095249526 T^{8} + 4296264099 T^{9} + 204133231578 T^{10} + 382367504811 T^{11} + 16596471495446 T^{12} + 17991479305519 T^{13} + 1095981214819036 T^{14} + 190913408501861 T^{15} + 54926869258300681 T^{16} - 25300323560242588 T^{17} + 1854133327485680151 T^{18} - 1051069211122455627 T^{19} + 31181719929966183601 T^{20} )^{2} \))(\( ( 1 + 5 T + 423 T^{2} + 2300 T^{3} + 89801 T^{4} + 562621 T^{5} + 12317564 T^{6} + 91880199 T^{7} + 1283985254 T^{8} + 10908120867 T^{9} + 117187677178 T^{10} + 970822757163 T^{11} + 10170447196934 T^{12} + 64772692008831 T^{13} + 772831569020924 T^{14} + 3141709111255829 T^{15} + 44629416909588761 T^{16} + 101732070259716700 T^{17} + 1665177064811980263 T^{18} + 1751782018537426045 T^{19} + 31181719929966183601 T^{20} )^{2} \))(\( ( 1 - 279 T^{2} + 34304 T^{4} - 2209959 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 252 T^{2} + 30950 T^{4} - 1996092 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 566 T^{2} + 144105 T^{4} - 22231174 T^{6} + 2346778004 T^{8} - 176093129254 T^{10} + 9041470639305 T^{12} - 281291410683926 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 284 T^{2} + 35494 T^{4} - 2249564 T^{6} + 62742241 T^{8} \))(\( 1 + 98 T^{2} + 16443 T^{4} + 776258 T^{6} + 62742241 T^{8} \))(\( 1 + 98 T^{2} + 16443 T^{4} + 776258 T^{6} + 62742241 T^{8} \))(\( 1 - 284 T^{2} + 35494 T^{4} - 2249564 T^{6} + 62742241 T^{8} \))(\( 1 - 14 T + 107 T^{2} - 1246 T^{3} + 7921 T^{4} \))(\( 1 + 4 T - 73 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 8 T - 128 T^{2} + 112 T^{3} + 23247 T^{4} + 9968 T^{5} - 1013888 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 2 T - 203 T^{2} - 1278 T^{3} + 19013 T^{4} + 217018 T^{5} - 187404 T^{6} - 24638786 T^{7} - 147105407 T^{8} + 982580860 T^{9} + 22291411793 T^{10} + 87449696540 T^{11} - 1165221928847 T^{12} - 17369580327634 T^{13} - 11758146932364 T^{14} + 1211841413503082 T^{15} + 9449105285041493 T^{16} - 56527645996486062 T^{17} - 799127527557522443 T^{18} + 700712807414970418 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 28 T + 166 T^{2} + 3012 T^{3} - 45919 T^{4} + 91294 T^{5} + 2200278 T^{6} - 28718656 T^{7} + 263592082 T^{8} + 26745058 T^{9} - 26587663714 T^{10} + 63356230218 T^{11} + 1607845659673 T^{12} + 5638704489402 T^{13} - 210600884278594 T^{14} + 18854436793202 T^{15} + 16538357934535762 T^{16} - 160366682399380544 T^{17} + 1093497000913087158 T^{18} + 4038055487952424526 T^{19} - \)\(18\!\cdots\!39\)\( T^{20} + \)\(10\!\cdots\!08\)\( T^{21} + \)\(51\!\cdots\!66\)\( T^{22} - \)\(77\!\cdots\!92\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 34 T + 317 T^{2} + 958 T^{3} - 10617 T^{4} - 450638 T^{5} + 6700546 T^{6} - 35021050 T^{7} - 98333740 T^{8} + 3666592494 T^{9} - 1255490490 T^{10} - 556854390930 T^{11} + 3882626535280 T^{12} + 24396868242752 T^{13} - 512632577714338 T^{14} + 2171321273604928 T^{15} + 30754284785952880 T^{16} - 392565083119531170 T^{17} - 78772286896788090 T^{18} + 20474470461753175806 T^{19} - 48870029050223324140 T^{20} - \)\(15\!\cdots\!50\)\( T^{21} + \)\(26\!\cdots\!26\)\( T^{22} - \)\(15\!\cdots\!42\)\( T^{23} - \)\(33\!\cdots\!17\)\( T^{24} + \)\(26\!\cdots\!62\)\( T^{25} + \)\(78\!\cdots\!57\)\( T^{26} - \)\(74\!\cdots\!46\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 482 T^{2} - 532 T^{3} + 127763 T^{4} + 235866 T^{5} - 22101018 T^{6} - 57673124 T^{7} + 2691980569 T^{8} + 9308927070 T^{9} - 221752940068 T^{10} - 1070341078222 T^{11} + 9912919547814 T^{12} + 82914086470212 T^{13} + 219063917262108 T^{14} - 2969193077291094 T^{15} - 63111821673830270 T^{16} - 264258183878907366 T^{17} + 1735205288633157468 T^{18} + 58451860624818883428 T^{19} + \)\(62\!\cdots\!74\)\( T^{20} - \)\(59\!\cdots\!78\)\( T^{21} - \)\(11\!\cdots\!48\)\( T^{22} + \)\(41\!\cdots\!30\)\( T^{23} + \)\(10\!\cdots\!89\)\( T^{24} - \)\(20\!\cdots\!16\)\( T^{25} - \)\(68\!\cdots\!18\)\( T^{26} + \)\(65\!\cdots\!74\)\( T^{27} + \)\(31\!\cdots\!23\)\( T^{28} - \)\(11\!\cdots\!08\)\( T^{29} - \)\(94\!\cdots\!62\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 20 T - 261 T^{2} - 5844 T^{3} + 55672 T^{4} + 911696 T^{5} - 11658679 T^{6} - 118825816 T^{7} + 1777472836 T^{8} + 12572918516 T^{9} - 229873603917 T^{10} - 1128383887252 T^{11} + 28040399094819 T^{12} + 97086947596832 T^{13} - 3044280886639638 T^{14} - 6138119963830848 T^{15} + 305005793774284588 T^{16} + 174084459483568328 T^{17} - 28586549875549699290 T^{18} + 15493516894037581192 T^{19} + \)\(24\!\cdots\!48\)\( T^{20} - \)\(43\!\cdots\!12\)\( T^{21} - \)\(19\!\cdots\!58\)\( T^{22} + \)\(54\!\cdots\!68\)\( T^{23} + \)\(13\!\cdots\!59\)\( T^{24} - \)\(49\!\cdots\!08\)\( T^{25} - \)\(90\!\cdots\!77\)\( T^{26} + \)\(44\!\cdots\!44\)\( T^{27} + \)\(55\!\cdots\!36\)\( T^{28} - \)\(32\!\cdots\!24\)\( T^{29} - \)\(28\!\cdots\!59\)\( T^{30} + \)\(20\!\cdots\!24\)\( T^{31} + \)\(10\!\cdots\!52\)\( T^{32} - \)\(10\!\cdots\!56\)\( T^{33} - \)\(40\!\cdots\!21\)\( T^{34} + \)\(27\!\cdots\!80\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 + 18 T - 224 T^{2} - 6892 T^{3} - 14486 T^{4} + 788090 T^{5} + 5848964 T^{6} - 7299322 T^{7} + 189733883 T^{8} + 830268902 T^{9} - 123376552096 T^{10} - 1212537802534 T^{11} + 7735972712656 T^{12} + 135060469330208 T^{13} - 78050968320908 T^{14} - 3128867114630550 T^{15} + 55804158073161469 T^{16} - 148576063813567236 T^{17} - 11084296540646941948 T^{18} + 3811759558213640100 T^{19} + \)\(11\!\cdots\!54\)\( T^{20} + \)\(33\!\cdots\!00\)\( T^{21} - \)\(87\!\cdots\!08\)\( T^{22} - \)\(10\!\cdots\!84\)\( T^{23} + \)\(35\!\cdots\!29\)\( T^{24} - \)\(17\!\cdots\!50\)\( T^{25} - \)\(38\!\cdots\!88\)\( T^{26} + \)\(59\!\cdots\!32\)\( T^{27} + \)\(30\!\cdots\!36\)\( T^{28} - \)\(42\!\cdots\!06\)\( T^{29} - \)\(38\!\cdots\!96\)\( T^{30} + \)\(23\!\cdots\!78\)\( T^{31} + \)\(46\!\cdots\!43\)\( T^{32} - \)\(16\!\cdots\!18\)\( T^{33} + \)\(11\!\cdots\!24\)\( T^{34} + \)\(13\!\cdots\!10\)\( T^{35} - \)\(22\!\cdots\!46\)\( T^{36} - \)\(95\!\cdots\!68\)\( T^{37} - \)\(27\!\cdots\!44\)\( T^{38} + \)\(19\!\cdots\!62\)\( T^{39} + \)\(97\!\cdots\!01\)\( T^{40} \))
$97$ (\( 1 - 5 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 19 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 15 T + 144 T^{2} + 1455 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 185 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( 1 + 2 T + 189 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 207 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 18 T + 308 T^{2} - 2830 T^{3} + 29876 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 84 T^{2} - 118 T^{3} + 8148 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 111 T^{2} - 834 T^{3} - 984 T^{4} - 80898 T^{5} + 1044399 T^{6} + 5476038 T^{7} + 88529281 T^{8} \))(\( 1 + 14 T + 447 T^{2} + 4150 T^{3} + 67896 T^{4} + 402550 T^{5} + 4205823 T^{6} + 12777422 T^{7} + 88529281 T^{8} \))(\( 1 + 2 T + 58 T^{2} + 502 T^{3} + 12309 T^{4} + 560 T^{5} + 1193973 T^{6} + 4723318 T^{7} + 52935034 T^{8} + 177058562 T^{9} + 8587340257 T^{10} \))(\( 1 + 2 T^{2} + 9409 T^{4} \))(\( 1 - 158 T^{2} + 9409 T^{4} \))(\( 1 - 463 T^{2} + 98830 T^{4} - 12248383 T^{6} + 929891470 T^{8} - 40989057103 T^{10} + 832972004929 T^{12} \))(\( 1 - 239 T^{2} + 37702 T^{4} - 4451063 T^{6} + 354738118 T^{8} - 21158498159 T^{10} + 832972004929 T^{12} \))(\( 1 - 553 T^{2} + 200359 T^{4} - 53877996 T^{6} + 11779364323 T^{8} - 2181747162701 T^{10} + 350569578802512 T^{12} - 49724314262059831 T^{14} + 6285659438414427580 T^{16} - \)\(71\!\cdots\!19\)\( T^{18} + \)\(72\!\cdots\!26\)\( T^{20} - \)\(67\!\cdots\!71\)\( T^{22} + \)\(55\!\cdots\!80\)\( T^{24} - \)\(41\!\cdots\!99\)\( T^{26} + \)\(27\!\cdots\!32\)\( T^{28} - \)\(16\!\cdots\!49\)\( T^{30} + \)\(81\!\cdots\!43\)\( T^{32} - \)\(35\!\cdots\!24\)\( T^{34} + \)\(12\!\cdots\!39\)\( T^{36} - \)\(31\!\cdots\!17\)\( T^{38} + \)\(54\!\cdots\!01\)\( T^{40} \))(\( 1 - 745 T^{2} + 269023 T^{4} - 62727220 T^{6} + 10674371027 T^{8} - 1429985200421 T^{10} + 159494324073040 T^{12} - 15457224318890367 T^{14} + 1353013921718174412 T^{16} - \)\(11\!\cdots\!15\)\( T^{18} + \)\(10\!\cdots\!66\)\( T^{20} - \)\(10\!\cdots\!35\)\( T^{22} + \)\(11\!\cdots\!72\)\( T^{24} - \)\(12\!\cdots\!43\)\( T^{26} + \)\(12\!\cdots\!40\)\( T^{28} - \)\(10\!\cdots\!29\)\( T^{30} + \)\(74\!\cdots\!07\)\( T^{32} - \)\(40\!\cdots\!80\)\( T^{34} + \)\(16\!\cdots\!83\)\( T^{36} - \)\(43\!\cdots\!05\)\( T^{38} + \)\(54\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 311 T^{2} + 42000 T^{4} - 2926199 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 284 T^{2} + 38214 T^{4} - 2672156 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 502 T^{2} + 125065 T^{4} - 20242182 T^{6} + 2314322804 T^{8} - 190458690438 T^{10} + 11071914528265 T^{12} - 418151946474358 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 16 T + 250 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 7 T + 97 T^{2} )^{4} \))(\( ( 1 + 7 T + 97 T^{2} )^{4} \))(\( ( 1 + 16 T + 250 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 12 T + 97 T^{2} )^{2} \))(\( ( 1 - 24 T + 320 T^{2} - 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 20 T + 398 T^{2} + 4832 T^{3} + 68629 T^{4} + 666194 T^{5} + 6657013 T^{6} + 45464288 T^{7} + 363243854 T^{8} + 1770585620 T^{9} + 8587340257 T^{10} )^{2} \))(\( ( 1 + 6 T + 565 T^{2} + 2764 T^{3} + 134441 T^{4} + 522528 T^{5} + 17275286 T^{6} + 50685216 T^{7} + 1264955369 T^{8} + 2522628172 T^{9} + 50019043765 T^{10} + 51524041542 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 + 10 T + 383 T^{2} + 2298 T^{3} + 60261 T^{4} + 164358 T^{5} + 6012283 T^{6} + 6893196 T^{7} + 583191451 T^{8} + 1546444422 T^{9} + 54998587653 T^{10} + 203440287738 T^{11} + 3288951318431 T^{12} + 8329720049290 T^{13} + 80798284478113 T^{14} )^{2} \))(\( ( 1 - 44 T + 1282 T^{2} - 25214 T^{3} + 398764 T^{4} - 5024342 T^{5} + 55873918 T^{6} - 553753952 T^{7} + 5506151270 T^{8} - 53714133344 T^{9} + 525717694462 T^{10} - 4585581286166 T^{11} + 35302290208684 T^{12} - 216521197239998 T^{13} + 1067870110318978 T^{14} - 3555124517036972 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 8 T + 456 T^{2} - 2890 T^{3} + 108943 T^{4} - 620092 T^{5} + 18186449 T^{6} - 93393270 T^{7} + 2262905879 T^{8} - 10314666232 T^{9} + 219501870263 T^{10} - 878737277430 T^{11} + 16598280968177 T^{12} - 54896298913852 T^{13} + 935530609618351 T^{14} - 2407289094244810 T^{15} + 36844017722019528 T^{16} - 62699468755015688 T^{17} + 760231058654565217 T^{18} )^{2} \))(\( ( 1 - 6 T + 643 T^{2} - 4150 T^{3} + 201813 T^{4} - 1368892 T^{5} + 40852860 T^{6} - 279244188 T^{7} + 5955331434 T^{8} - 38618701036 T^{9} + 658218515586 T^{10} - 3746014000492 T^{11} + 56033713462506 T^{12} - 254858630794524 T^{13} + 3616674322593660 T^{14} - 11755141379085244 T^{15} + 168104579230736277 T^{16} - 335312880584168950 T^{17} + 5039469801184385923 T^{18} - 4561386351927391302 T^{19} + 73742412689492826049 T^{20} )^{2} \))
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