Properties

Label 6030.2
Level 6030
Weight 2
Dimension 234392
Nonzero newspaces 60
Sturm bound 3877632

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Defining parameters

Level: \( N \) = \( 6030 = 2 \cdot 3^{2} \cdot 5 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 60 \)
Sturm bound: \(3877632\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6030))\).

Total New Old
Modular forms 977856 234392 743464
Cusp forms 960961 234392 726569
Eisenstein series 16895 0 16895

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6030))\)

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
6030.2.a \(\chi_{6030}(1, \cdot)\) 6030.2.a.a 1 1
6030.2.a.b 1
6030.2.a.c 1
6030.2.a.d 1
6030.2.a.e 1
6030.2.a.f 1
6030.2.a.g 1
6030.2.a.h 1
6030.2.a.i 1
6030.2.a.j 1
6030.2.a.k 1
6030.2.a.l 1
6030.2.a.m 1
6030.2.a.n 1
6030.2.a.o 1
6030.2.a.p 1
6030.2.a.q 1
6030.2.a.r 1
6030.2.a.s 1
6030.2.a.t 1
6030.2.a.u 1
6030.2.a.v 1
6030.2.a.w 1
6030.2.a.x 1
6030.2.a.y 1
6030.2.a.z 2
6030.2.a.ba 2
6030.2.a.bb 2
6030.2.a.bc 2
6030.2.a.bd 2
6030.2.a.be 2
6030.2.a.bf 2
6030.2.a.bg 2
6030.2.a.bh 2
6030.2.a.bi 2
6030.2.a.bj 3
6030.2.a.bk 3
6030.2.a.bl 3
6030.2.a.bm 3
6030.2.a.bn 3
6030.2.a.bo 3
6030.2.a.bp 3
6030.2.a.bq 3
6030.2.a.br 3
6030.2.a.bs 4
6030.2.a.bt 4
6030.2.a.bu 4
6030.2.a.bv 5
6030.2.a.bw 5
6030.2.a.bx 8
6030.2.a.by 8
6030.2.d \(\chi_{6030}(2411, \cdot)\) 6030.2.d.a 2 1
6030.2.d.b 2
6030.2.d.c 2
6030.2.d.d 2
6030.2.d.e 2
6030.2.d.f 2
6030.2.d.g 2
6030.2.d.h 2
6030.2.d.i 16
6030.2.d.j 16
6030.2.d.k 24
6030.2.d.l 24
6030.2.e \(\chi_{6030}(3619, \cdot)\) n/a 166 1
6030.2.h \(\chi_{6030}(6029, \cdot)\) n/a 136 1
6030.2.i \(\chi_{6030}(3781, \cdot)\) n/a 224 2
6030.2.j \(\chi_{6030}(2851, \cdot)\) n/a 544 2
6030.2.k \(\chi_{6030}(2011, \cdot)\) n/a 528 2
6030.2.l \(\chi_{6030}(841, \cdot)\) n/a 544 2
6030.2.m \(\chi_{6030}(937, \cdot)\) n/a 340 2
6030.2.n \(\chi_{6030}(3887, \cdot)\) n/a 264 2
6030.2.s \(\chi_{6030}(641, \cdot)\) n/a 544 2
6030.2.t \(\chi_{6030}(4459, \cdot)\) n/a 816 2
6030.2.u \(\chi_{6030}(239, \cdot)\) n/a 816 2
6030.2.v \(\chi_{6030}(1169, \cdot)\) n/a 272 2
6030.2.w \(\chi_{6030}(2009, \cdot)\) n/a 816 2
6030.2.bd \(\chi_{6030}(1609, \cdot)\) n/a 792 2
6030.2.be \(\chi_{6030}(401, \cdot)\) n/a 544 2
6030.2.bf \(\chi_{6030}(1369, \cdot)\) n/a 340 2
6030.2.bg \(\chi_{6030}(439, \cdot)\) n/a 816 2
6030.2.bh \(\chi_{6030}(2651, \cdot)\) n/a 544 2
6030.2.bi \(\chi_{6030}(3581, \cdot)\) n/a 176 2
6030.2.br \(\chi_{6030}(4259, \cdot)\) n/a 816 2
6030.2.bs \(\chi_{6030}(91, \cdot)\) n/a 1160 10
6030.2.bt \(\chi_{6030}(1177, \cdot)\) n/a 1632 4
6030.2.bu \(\chi_{6030}(707, \cdot)\) n/a 1632 4
6030.2.cb \(\chi_{6030}(1073, \cdot)\) n/a 1584 4
6030.2.cc \(\chi_{6030}(133, \cdot)\) n/a 1632 4
6030.2.cd \(\chi_{6030}(1637, \cdot)\) n/a 544 4
6030.2.ce \(\chi_{6030}(833, \cdot)\) n/a 1632 4
6030.2.cf \(\chi_{6030}(97, \cdot)\) n/a 1632 4
6030.2.cg \(\chi_{6030}(2107, \cdot)\) n/a 680 4
6030.2.cj \(\chi_{6030}(179, \cdot)\) n/a 1360 10
6030.2.cm \(\chi_{6030}(161, \cdot)\) n/a 960 10
6030.2.cn \(\chi_{6030}(829, \cdot)\) n/a 1700 10
6030.2.cq \(\chi_{6030}(121, \cdot)\) n/a 5440 20
6030.2.cr \(\chi_{6030}(241, \cdot)\) n/a 5440 20
6030.2.cs \(\chi_{6030}(151, \cdot)\) n/a 5440 20
6030.2.ct \(\chi_{6030}(181, \cdot)\) n/a 2240 20
6030.2.cw \(\chi_{6030}(253, \cdot)\) n/a 3400 20
6030.2.cx \(\chi_{6030}(107, \cdot)\) n/a 2720 20
6030.2.cy \(\chi_{6030}(299, \cdot)\) n/a 8160 20
6030.2.dh \(\chi_{6030}(619, \cdot)\) n/a 8160 20
6030.2.di \(\chi_{6030}(19, \cdot)\) n/a 3400 20
6030.2.dj \(\chi_{6030}(251, \cdot)\) n/a 1760 20
6030.2.dk \(\chi_{6030}(41, \cdot)\) n/a 5440 20
6030.2.dl \(\chi_{6030}(349, \cdot)\) n/a 8160 20
6030.2.dm \(\chi_{6030}(311, \cdot)\) n/a 5440 20
6030.2.dt \(\chi_{6030}(119, \cdot)\) n/a 8160 20
6030.2.du \(\chi_{6030}(899, \cdot)\) n/a 2720 20
6030.2.dv \(\chi_{6030}(599, \cdot)\) n/a 8160 20
6030.2.dw \(\chi_{6030}(11, \cdot)\) n/a 5440 20
6030.2.dx \(\chi_{6030}(49, \cdot)\) n/a 8160 20
6030.2.ec \(\chi_{6030}(83, \cdot)\) n/a 16320 40
6030.2.ed \(\chi_{6030}(17, \cdot)\) n/a 5440 40
6030.2.ee \(\chi_{6030}(433, \cdot)\) n/a 6800 40
6030.2.ef \(\chi_{6030}(247, \cdot)\) n/a 16320 40
6030.2.eg \(\chi_{6030}(263, \cdot)\) n/a 16320 40
6030.2.eh \(\chi_{6030}(43, \cdot)\) n/a 16320 40
6030.2.eo \(\chi_{6030}(7, \cdot)\) n/a 16320 40
6030.2.ep \(\chi_{6030}(23, \cdot)\) n/a 16320 40

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6030))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6030)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(67))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(134))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(201))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(335))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(402))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(603))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(670))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1005))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1206))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2010))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3015))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{16} \))
$3$ 1
$5$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{16} \))(\( ( 1 + T )^{16} \))
$7$ (\( 1 + T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 6 T + 21 T^{2} + 42 T^{3} + 49 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 28 T^{3} + 49 T^{4} \))(\( 1 + 12 T^{2} + 49 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 28 T^{3} + 49 T^{4} \))(\( 1 + 2 T + 12 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 12 T^{2} + 49 T^{4} \))(\( 1 - T + 10 T^{2} - 7 T^{3} + 49 T^{4} \))(\( 1 - 2 T + 13 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - T + 16 T^{2} - 15 T^{3} + 112 T^{4} - 49 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 7 T^{2} + 4 T^{3} + 49 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 3 T^{2} - 16 T^{3} + 21 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 + T + 15 T^{2} + 16 T^{3} + 105 T^{4} + 49 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 5 T^{2} - 12 T^{3} + 35 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 - 3 T + 18 T^{2} - 35 T^{3} + 126 T^{4} - 147 T^{5} + 343 T^{6} \))(\( 1 - 3 T + 9 T^{2} - 34 T^{3} + 63 T^{4} - 147 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 3 T^{2} - 16 T^{3} + 21 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 - T + 18 T^{2} - 13 T^{3} + 126 T^{4} - 49 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 8 T^{2} + 10 T^{3} + 46 T^{4} + 70 T^{5} + 392 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 + 5 T + 19 T^{2} + 30 T^{3} + 80 T^{4} + 210 T^{5} + 931 T^{6} + 1715 T^{7} + 2401 T^{8} \))(\( 1 - T + 8 T^{2} - 9 T^{3} + 66 T^{4} - 63 T^{5} + 392 T^{6} - 343 T^{7} + 2401 T^{8} \))(\( 1 + T + 15 T^{2} + 36 T^{3} + 114 T^{4} + 390 T^{5} + 798 T^{6} + 1764 T^{7} + 5145 T^{8} + 2401 T^{9} + 16807 T^{10} \))(\( 1 - 5 T + 17 T^{2} - 26 T^{3} + 40 T^{4} - 18 T^{5} + 280 T^{6} - 1274 T^{7} + 5831 T^{8} - 12005 T^{9} + 16807 T^{10} \))(\( 1 - 4 T + 29 T^{2} - 100 T^{3} + 458 T^{4} - 1292 T^{5} + 4827 T^{6} - 11852 T^{7} + 37754 T^{8} - 82964 T^{9} + 236523 T^{10} - 443156 T^{11} + 1099658 T^{12} - 1680700 T^{13} + 3411821 T^{14} - 3294172 T^{15} + 5764801 T^{16} \))(\( 1 - 4 T + 29 T^{2} - 100 T^{3} + 458 T^{4} - 1292 T^{5} + 4827 T^{6} - 11852 T^{7} + 37754 T^{8} - 82964 T^{9} + 236523 T^{10} - 443156 T^{11} + 1099658 T^{12} - 1680700 T^{13} + 3411821 T^{14} - 3294172 T^{15} + 5764801 T^{16} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 12 T^{2} + 49 T^{4} \))(\( 1 - 12 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 12 T^{2} + 65 T^{4} - 64 T^{6} + 70 T^{8} + 1000 T^{10} + 113791 T^{12} - 1570844 T^{14} + 15564210 T^{16} - 76971356 T^{18} + 273212191 T^{20} + 117649000 T^{22} + 403536070 T^{24} - 18078415936 T^{26} + 899683668065 T^{28} - 8138676874188 T^{30} + 33232930569601 T^{32} \))(\( 1 - 12 T^{2} + 65 T^{4} - 64 T^{6} + 70 T^{8} + 1000 T^{10} + 113791 T^{12} - 1570844 T^{14} + 15564210 T^{16} - 76971356 T^{18} + 273212191 T^{20} + 117649000 T^{22} + 403536070 T^{24} - 18078415936 T^{26} + 899683668065 T^{28} - 8138676874188 T^{30} + 33232930569601 T^{32} \))
$11$ (\( 1 - T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( ( 1 - 5 T + 11 T^{2} )^{2} \))(\( 1 + 4 T^{2} + 121 T^{4} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( 1 + 4 T^{2} + 121 T^{4} \))(\( 1 + 10 T^{2} + 121 T^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( 1 - 7 T + 30 T^{2} - 77 T^{3} + 121 T^{4} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + T + 11 T^{2} )^{3} \))(\( 1 + 2 T + 5 T^{2} + 52 T^{3} + 55 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( ( 1 + 2 T + 11 T^{2} )^{3} \))(\( 1 + T + 9 T^{2} + 42 T^{3} + 99 T^{4} + 121 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 27 T^{2} - 36 T^{3} + 297 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( ( 1 + 3 T + 11 T^{2} )^{3} \))(\( 1 + 3 T + 9 T^{2} + 36 T^{3} + 99 T^{4} + 363 T^{5} + 1331 T^{6} \))(\( ( 1 - 2 T + 11 T^{2} )^{3} \))(\( ( 1 + T + 11 T^{2} )^{3} \))(\( 1 + 10 T + 58 T^{2} + 242 T^{3} + 874 T^{4} + 2662 T^{5} + 7018 T^{6} + 13310 T^{7} + 14641 T^{8} \))(\( 1 + 9 T + 47 T^{2} + 212 T^{3} + 800 T^{4} + 2332 T^{5} + 5687 T^{6} + 11979 T^{7} + 14641 T^{8} \))(\( 1 - 3 T + 24 T^{2} - 67 T^{3} + 398 T^{4} - 737 T^{5} + 2904 T^{6} - 3993 T^{7} + 14641 T^{8} \))(\( 1 + T + 29 T^{2} + 4 T^{3} + 432 T^{4} - 122 T^{5} + 4752 T^{6} + 484 T^{7} + 38599 T^{8} + 14641 T^{9} + 161051 T^{10} \))(\( 1 + T + 27 T^{2} + 34 T^{3} + 374 T^{4} + 578 T^{5} + 4114 T^{6} + 4114 T^{7} + 35937 T^{8} + 14641 T^{9} + 161051 T^{10} \))(\( 1 + 6 T + 43 T^{2} + 218 T^{3} + 1260 T^{4} + 5042 T^{5} + 21813 T^{6} + 77086 T^{7} + 290486 T^{8} + 847946 T^{9} + 2639373 T^{10} + 6710902 T^{11} + 18447660 T^{12} + 35109118 T^{13} + 76177123 T^{14} + 116923026 T^{15} + 214358881 T^{16} \))(\( 1 - 6 T + 43 T^{2} - 218 T^{3} + 1260 T^{4} - 5042 T^{5} + 21813 T^{6} - 77086 T^{7} + 290486 T^{8} - 847946 T^{9} + 2639373 T^{10} - 6710902 T^{11} + 18447660 T^{12} - 35109118 T^{13} + 76177123 T^{14} - 116923026 T^{15} + 214358881 T^{16} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} - 566 T^{3} + 3224 T^{4} - 15446 T^{5} + 67469 T^{6} - 258178 T^{7} + 910522 T^{8} - 2839958 T^{9} + 8163749 T^{10} - 20558626 T^{11} + 47202584 T^{12} - 91154866 T^{13} + 157668929 T^{14} - 194871710 T^{15} + 214358881 T^{16} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} + 566 T^{3} + 3224 T^{4} + 15446 T^{5} + 67469 T^{6} + 258178 T^{7} + 910522 T^{8} + 2839958 T^{9} + 8163749 T^{10} + 20558626 T^{11} + 47202584 T^{12} + 91154866 T^{13} + 157668929 T^{14} + 194871710 T^{15} + 214358881 T^{16} )^{2} \))
$13$ (\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 12 T^{2} + 52 T^{3} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 4 T + 12 T^{2} + 52 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 2 T + 26 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 12 T^{2} + 52 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 - 2 T + 33 T^{2} - 54 T^{3} + 429 T^{4} - 338 T^{5} + 2197 T^{6} \))(\( 1 - 8 T + 53 T^{2} - 204 T^{3} + 689 T^{4} - 1352 T^{5} + 2197 T^{6} \))(\( 1 - 4 T - 7 T^{2} + 96 T^{3} - 91 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 + 6 T + 41 T^{2} + 136 T^{3} + 533 T^{4} + 1014 T^{5} + 2197 T^{6} \))(\( 1 + 11 T^{2} - 16 T^{3} + 143 T^{4} + 2197 T^{6} \))(\( 1 + 27 T^{2} - 2 T^{3} + 351 T^{4} + 2197 T^{6} \))(\( ( 1 - 2 T + 13 T^{2} )^{3} \))(\( 1 - 4 T - 7 T^{2} + 96 T^{3} - 91 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 23 T^{2} - 114 T^{3} + 299 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 + 2 T + 20 T^{2} + 54 T^{3} + 390 T^{4} + 702 T^{5} + 3380 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 + 12 T + 98 T^{2} + 526 T^{3} + 2214 T^{4} + 6838 T^{5} + 16562 T^{6} + 26364 T^{7} + 28561 T^{8} \))(\( 1 - 2 T + 32 T^{2} - 50 T^{3} + 486 T^{4} - 650 T^{5} + 5408 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 29 T^{2} - 60 T^{3} + 382 T^{4} - 1512 T^{5} + 4966 T^{6} - 10140 T^{7} + 63713 T^{8} + 371293 T^{10} \))(\( 1 - 2 T - 5 T^{2} + 60 T^{3} + 56 T^{4} - 820 T^{5} + 728 T^{6} + 10140 T^{7} - 10985 T^{8} - 57122 T^{9} + 371293 T^{10} \))(\( 1 - 4 T + 52 T^{2} - 228 T^{3} + 1548 T^{4} - 6828 T^{5} + 30700 T^{6} - 130028 T^{7} + 459654 T^{8} - 1690364 T^{9} + 5188300 T^{10} - 15001116 T^{11} + 44212428 T^{12} - 84654804 T^{13} + 250994068 T^{14} - 250994068 T^{15} + 815730721 T^{16} \))(\( 1 - 4 T + 52 T^{2} - 228 T^{3} + 1548 T^{4} - 6828 T^{5} + 30700 T^{6} - 130028 T^{7} + 459654 T^{8} - 1690364 T^{9} + 5188300 T^{10} - 15001116 T^{11} + 44212428 T^{12} - 84654804 T^{13} + 250994068 T^{14} - 250994068 T^{15} + 815730721 T^{16} \))(\( 1 - 8 T^{2} + 169 T^{4} \))(\( 1 - 24 T^{2} + 169 T^{4} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( 1 - 24 T^{2} + 169 T^{4} \))(\( 1 - 8 T^{2} + 169 T^{4} \))(\( 1 - 100 T^{2} + 5164 T^{4} - 182812 T^{6} + 4978036 T^{8} - 110574964 T^{10} + 2069794196 T^{12} - 33262092620 T^{14} + 463566233430 T^{16} - 5621293652780 T^{18} + 59115392031956 T^{20} - 533724231409876 T^{22} + 4060736895443956 T^{24} - 25202186611899388 T^{26} + 120311311572491884 T^{28} - 393737638569928900 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 100 T^{2} + 5164 T^{4} - 182812 T^{6} + 4978036 T^{8} - 110574964 T^{10} + 2069794196 T^{12} - 33262092620 T^{14} + 463566233430 T^{16} - 5621293652780 T^{18} + 59115392031956 T^{20} - 533724231409876 T^{22} + 4060736895443956 T^{24} - 25202186611899388 T^{26} + 120311311572491884 T^{28} - 393737638569928900 T^{30} + 665416609183179841 T^{32} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 - 8 T + 48 T^{2} - 136 T^{3} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 - 8 T + 38 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 38 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 48 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 - 14 T^{2} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( 1 - 4 T + 36 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 47 T^{2} - 62 T^{3} + 799 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( ( 1 + 4 T + 17 T^{2} )^{3} \))(\( 1 - 2 T + 27 T^{2} - 84 T^{3} + 459 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( 1 - 10 T + 59 T^{2} - 260 T^{3} + 1003 T^{4} - 2890 T^{5} + 4913 T^{6} \))(\( 1 + 8 T + 65 T^{2} + 268 T^{3} + 1105 T^{4} + 2312 T^{5} + 4913 T^{6} \))(\( 1 + 9 T^{2} + 98 T^{3} + 153 T^{4} + 4913 T^{6} \))(\( 1 + 33 T^{2} - 20 T^{3} + 561 T^{4} + 4913 T^{6} \))(\( 1 + 2 T + 27 T^{2} + 84 T^{3} + 459 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 + 8 T + 57 T^{2} + 270 T^{3} + 969 T^{4} + 2312 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 26 T^{2} - 154 T^{3} + 914 T^{4} - 2618 T^{5} + 7514 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 + 24 T^{2} + 98 T^{3} + 290 T^{4} + 1666 T^{5} + 6936 T^{6} + 83521 T^{8} \))(\( 1 - 2 T + 36 T^{2} - 22 T^{3} + 678 T^{4} - 374 T^{5} + 10404 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 10 T + 77 T^{2} + 472 T^{3} + 2514 T^{4} + 10780 T^{5} + 42738 T^{6} + 136408 T^{7} + 378301 T^{8} + 835210 T^{9} + 1419857 T^{10} \))(\( 1 + 4 T + 39 T^{2} + 4 T^{3} + 176 T^{4} - 2272 T^{5} + 2992 T^{6} + 1156 T^{7} + 191607 T^{8} + 334084 T^{9} + 1419857 T^{10} \))(\( 1 + 4 T + 70 T^{2} + 244 T^{3} + 2936 T^{4} + 8876 T^{5} + 79610 T^{6} + 211548 T^{7} + 1597326 T^{8} + 3596316 T^{9} + 23007290 T^{10} + 43607788 T^{11} + 245217656 T^{12} + 346445108 T^{13} + 1689629830 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 - 4 T + 70 T^{2} - 244 T^{3} + 2936 T^{4} - 8876 T^{5} + 79610 T^{6} - 211548 T^{7} + 1597326 T^{8} - 3596316 T^{9} + 23007290 T^{10} - 43607788 T^{11} + 245217656 T^{12} - 346445108 T^{13} + 1689629830 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 - 26 T^{2} + 289 T^{4} \))(\( 1 - 26 T^{2} + 289 T^{4} \))(\( 1 - 32 T^{2} + 289 T^{4} \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( 1 - 32 T^{2} + 289 T^{4} \))(\( 1 - 26 T^{2} + 289 T^{4} \))(\( 1 - 26 T^{2} + 289 T^{4} \))(\( 1 - 72 T^{2} + 3388 T^{4} - 119208 T^{6} + 3472552 T^{8} - 87055608 T^{10} + 1924187636 T^{12} - 38031267608 T^{14} + 679448411470 T^{16} - 10991036338712 T^{18} + 160710075546356 T^{20} - 2101310744936952 T^{22} + 24223680453259432 T^{24} - 240322600884724392 T^{26} + 1973924139734430268 T^{28} - 12123203512276866888 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 72 T^{2} + 3388 T^{4} - 119208 T^{6} + 3472552 T^{8} - 87055608 T^{10} + 1924187636 T^{12} - 38031267608 T^{14} + 679448411470 T^{16} - 10991036338712 T^{18} + 160710075546356 T^{20} - 2101310744936952 T^{22} + 24223680453259432 T^{24} - 240322600884724392 T^{26} + 1973924139734430268 T^{28} - 12123203512276866888 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 42 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 42 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 42 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 30 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 25 T^{2} + 32 T^{3} + 475 T^{4} + 6859 T^{6} \))(\( 1 + 4 T + 45 T^{2} + 136 T^{3} + 855 T^{4} + 1444 T^{5} + 6859 T^{6} \))(\( 1 + 8 T + 53 T^{2} + 288 T^{3} + 1007 T^{4} + 2888 T^{5} + 6859 T^{6} \))(\( ( 1 + 2 T + 19 T^{2} )^{3} \))(\( 1 + 29 T^{2} + 16 T^{3} + 551 T^{4} + 6859 T^{6} \))(\( 1 + 33 T^{2} - 16 T^{3} + 627 T^{4} + 6859 T^{6} \))(\( ( 1 + 2 T + 19 T^{2} )^{3} \))(\( 1 + 8 T + 53 T^{2} + 288 T^{3} + 1007 T^{4} + 2888 T^{5} + 6859 T^{6} \))(\( 1 + 8 T + 17 T^{2} + 323 T^{4} + 2888 T^{5} + 6859 T^{6} \))(\( 1 - 8 T + 64 T^{2} - 312 T^{3} + 1646 T^{4} - 5928 T^{5} + 23104 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 4 T - 4 T^{2} - 68 T^{3} + 790 T^{4} - 1292 T^{5} - 1444 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 2 T + 44 T^{2} - 34 T^{3} + 982 T^{4} - 646 T^{5} + 15884 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 - 10 T + 87 T^{2} - 552 T^{3} + 3186 T^{4} - 14652 T^{5} + 60534 T^{6} - 199272 T^{7} + 596733 T^{8} - 1303210 T^{9} + 2476099 T^{10} \))(\( ( 1 - 2 T + 19 T^{2} )^{5} \))(\( 1 - 12 T + 120 T^{2} - 716 T^{3} + 4204 T^{4} - 18252 T^{5} + 92616 T^{6} - 371244 T^{7} + 1839942 T^{8} - 7053636 T^{9} + 33434376 T^{10} - 125190468 T^{11} + 547869484 T^{12} - 1772886884 T^{13} + 5645505720 T^{14} - 10726460868 T^{15} + 16983563041 T^{16} \))(\( 1 - 12 T + 120 T^{2} - 716 T^{3} + 4204 T^{4} - 18252 T^{5} + 92616 T^{6} - 371244 T^{7} + 1839942 T^{8} - 7053636 T^{9} + 33434376 T^{10} - 125190468 T^{11} + 547869484 T^{12} - 1772886884 T^{13} + 5645505720 T^{14} - 10726460868 T^{15} + 16983563041 T^{16} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 52 T^{2} + 132 T^{3} + 1720 T^{4} + 5684 T^{5} + 50044 T^{6} + 126740 T^{7} + 947150 T^{8} + 2408060 T^{9} + 18065884 T^{10} + 38986556 T^{11} + 224152120 T^{12} + 326845068 T^{13} + 2446385812 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 4 T + 52 T^{2} + 132 T^{3} + 1720 T^{4} + 5684 T^{5} + 50044 T^{6} + 126740 T^{7} + 947150 T^{8} + 2408060 T^{9} + 18065884 T^{10} + 38986556 T^{11} + 224152120 T^{12} + 326845068 T^{13} + 2446385812 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 - 12 T + 80 T^{2} - 276 T^{3} + 529 T^{4} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 + 6 T + 52 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 80 T^{2} + 276 T^{3} + 529 T^{4} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{3} \))(\( 1 - 6 T + 47 T^{2} - 140 T^{3} + 1081 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 + 8 T + 71 T^{2} + 304 T^{3} + 1633 T^{4} + 4232 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 7 T^{2} + 48 T^{3} + 161 T^{4} - 2116 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 53 T^{2} + 212 T^{3} + 1219 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 57 T^{2} + 252 T^{3} + 1311 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( ( 1 + 4 T + 23 T^{2} )^{3} \))(\( 1 - 8 T + 71 T^{2} - 304 T^{3} + 1633 T^{4} - 4232 T^{5} + 12167 T^{6} \))(\( 1 + 10 T + 89 T^{2} + 452 T^{3} + 2047 T^{4} + 5290 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 56 T^{2} + 158 T^{3} + 1262 T^{4} + 3634 T^{5} + 29624 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( 1 + 6 T + 48 T^{2} + 230 T^{3} + 1118 T^{4} + 5290 T^{5} + 25392 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( 1 - 12 T + 100 T^{2} - 624 T^{3} + 3094 T^{4} - 14352 T^{5} + 52900 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + 71 T^{2} + 260 T^{3} + 1326 T^{4} + 2984 T^{5} + 30498 T^{6} + 137540 T^{7} + 863857 T^{8} + 2238728 T^{9} + 6436343 T^{10} \))(\( 1 + 57 T^{2} + 24 T^{3} + 2024 T^{4} - 48 T^{5} + 46552 T^{6} + 12696 T^{7} + 693519 T^{8} + 6436343 T^{10} \))(\( 1 + 12 T + 152 T^{2} + 1188 T^{3} + 9668 T^{4} + 58244 T^{5} + 365768 T^{6} + 1839212 T^{7} + 9784822 T^{8} + 42301876 T^{9} + 193491272 T^{10} + 708654748 T^{11} + 2705502788 T^{12} + 7646375484 T^{13} + 22501455128 T^{14} + 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 - 12 T + 152 T^{2} - 1188 T^{3} + 9668 T^{4} - 58244 T^{5} + 365768 T^{6} - 1839212 T^{7} + 9784822 T^{8} - 42301876 T^{9} + 193491272 T^{10} - 708654748 T^{11} + 2705502788 T^{12} - 7646375484 T^{13} + 22501455128 T^{14} - 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 - 44 T^{2} + 529 T^{4} \))(\( 1 + 4 T^{2} + 529 T^{4} \))(\( 1 + 4 T^{2} + 529 T^{4} \))(\( 1 - 14 T^{2} + 529 T^{4} \))(\( 1 - 14 T^{2} + 529 T^{4} \))(\( 1 + 4 T^{2} + 529 T^{4} \))(\( 1 + 4 T^{2} + 529 T^{4} \))(\( 1 - 44 T^{2} + 529 T^{4} \))(\( 1 - 236 T^{2} + 26820 T^{4} - 1953524 T^{6} + 102662900 T^{8} - 4171202524 T^{10} + 137809451964 T^{12} - 3858496068548 T^{14} + 94388796186262 T^{16} - 2041144420261892 T^{18} + 38564734847057724 T^{20} - 617487673839383836 T^{22} + 8039632850804774900 T^{24} - 80927683892132449076 T^{26} + \)\(58\!\cdots\!20\)\( T^{28} - \)\(27\!\cdots\!24\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 236 T^{2} + 26820 T^{4} - 1953524 T^{6} + 102662900 T^{8} - 4171202524 T^{10} + 137809451964 T^{12} - 3858496068548 T^{14} + 94388796186262 T^{16} - 2041144420261892 T^{18} + 38564734847057724 T^{20} - 617487673839383836 T^{22} + 8039632850804774900 T^{24} - 80927683892132449076 T^{26} + \)\(58\!\cdots\!20\)\( T^{28} - \)\(27\!\cdots\!24\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 8 T^{2} + 841 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 + 56 T^{2} + 841 T^{4} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( 1 + 8 T + 66 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 64 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 + 56 T^{2} + 841 T^{4} \))(\( 1 + 6 T + 50 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 60 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 73 T^{2} + 178 T^{3} + 2117 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 - 4 T + 37 T^{2} - 300 T^{3} + 1073 T^{4} - 3364 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 37 T^{2} + 216 T^{3} + 1073 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 77 T^{2} - 8 T^{3} + 2233 T^{4} + 24389 T^{6} \))(\( 1 + 8 T + 79 T^{2} + 432 T^{3} + 2291 T^{4} + 6728 T^{5} + 24389 T^{6} \))(\( 1 + 6 T + 87 T^{2} + 330 T^{3} + 2523 T^{4} + 5046 T^{5} + 24389 T^{6} \))(\( 1 + 15 T^{2} - 160 T^{3} + 435 T^{4} + 24389 T^{6} \))(\( 1 - 2 T + 37 T^{2} - 216 T^{3} + 1073 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 67 T^{2} - 66 T^{3} + 1943 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 + 14 T + 120 T^{2} + 770 T^{3} + 4478 T^{4} + 22330 T^{5} + 100920 T^{6} + 341446 T^{7} + 707281 T^{8} \))(\( 1 + 18 T + 206 T^{2} + 1600 T^{3} + 9854 T^{4} + 46400 T^{5} + 173246 T^{6} + 439002 T^{7} + 707281 T^{8} \))(\( 1 + 2 T + 64 T^{2} + 322 T^{3} + 1918 T^{4} + 9338 T^{5} + 53824 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 29 T^{2} + 4 T^{3} + 1158 T^{4} + 4672 T^{5} + 33582 T^{6} + 3364 T^{7} + 707281 T^{8} + 2829124 T^{9} + 20511149 T^{10} \))(\( 1 + 27 T^{2} - 96 T^{3} - 304 T^{4} - 3840 T^{5} - 8816 T^{6} - 80736 T^{7} + 658503 T^{8} + 20511149 T^{10} \))(\( 1 + 4 T + 104 T^{2} + 244 T^{3} + 5540 T^{4} + 10236 T^{5} + 236024 T^{6} + 424524 T^{7} + 7918870 T^{8} + 12311196 T^{9} + 198496184 T^{10} + 249645804 T^{11} + 3918336740 T^{12} + 5004720356 T^{13} + 61861625384 T^{14} + 68999505236 T^{15} + 500246412961 T^{16} \))(\( 1 - 4 T + 104 T^{2} - 244 T^{3} + 5540 T^{4} - 10236 T^{5} + 236024 T^{6} - 424524 T^{7} + 7918870 T^{8} - 12311196 T^{9} + 198496184 T^{10} - 249645804 T^{11} + 3918336740 T^{12} - 5004720356 T^{13} + 61861625384 T^{14} - 68999505236 T^{15} + 500246412961 T^{16} \))(\( 1 - 8 T^{2} + 841 T^{4} \))(\( 1 - 8 T^{2} + 841 T^{4} \))(\( 1 - 56 T^{2} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( 1 - 56 T^{2} + 841 T^{4} \))(\( 1 - 8 T^{2} + 841 T^{4} \))(\( 1 - 8 T^{2} + 841 T^{4} \))(\( 1 - 116 T^{2} + 5532 T^{4} - 153676 T^{6} + 3478164 T^{8} - 93695876 T^{10} + 2804533284 T^{12} - 62769871100 T^{14} + 1298249772566 T^{16} - 52789461595100 T^{18} + 1983593105640804 T^{20} - 55732492126324196 T^{22} + 1739939064690083604 T^{24} - 64652604784641688876 T^{26} + \)\(19\!\cdots\!12\)\( T^{28} - \)\(34\!\cdots\!96\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 116 T^{2} + 5532 T^{4} - 153676 T^{6} + 3478164 T^{8} - 93695876 T^{10} + 2804533284 T^{12} - 62769871100 T^{14} + 1298249772566 T^{16} - 52789461595100 T^{18} + 1983593105640804 T^{20} - 55732492126324196 T^{22} + 1739939064690083604 T^{24} - 64652604784641688876 T^{26} + \)\(19\!\cdots\!12\)\( T^{28} - \)\(34\!\cdots\!96\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 8 T + 76 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 48 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 16 T + 124 T^{2} + 496 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 86 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 86 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 48 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 14 T + 108 T^{2} + 434 T^{3} + 961 T^{4} \))(\( 1 + 16 T + 124 T^{2} + 496 T^{3} + 961 T^{4} \))(\( 1 - 4 T - 2 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 48 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 35 T^{2} + 142 T^{3} + 1085 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 83 T^{2} + 252 T^{3} + 2573 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 83 T^{2} + 8 T^{3} + 2573 T^{4} + 29791 T^{6} \))(\( 1 + 4 T + 3 T^{2} - 152 T^{3} + 93 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 59 T^{2} - 76 T^{3} + 1829 T^{4} + 29791 T^{6} \))(\( 1 + 45 T^{2} + 114 T^{3} + 1395 T^{4} + 29791 T^{6} \))(\( 1 - 18 T + 183 T^{2} - 1244 T^{3} + 5673 T^{4} - 17298 T^{5} + 29791 T^{6} \))(\( 1 + 83 T^{2} + 8 T^{3} + 2573 T^{4} + 29791 T^{6} \))(\( 1 + 89 T^{2} + 2 T^{3} + 2759 T^{4} + 29791 T^{6} \))(\( 1 + 26 T^{2} - 12 T^{3} + 1954 T^{4} - 372 T^{5} + 24986 T^{6} + 923521 T^{8} \))(\( 1 - 2 T + 82 T^{2} - 240 T^{3} + 3146 T^{4} - 7440 T^{5} + 78802 T^{6} - 59582 T^{7} + 923521 T^{8} \))(\( 1 - 10 T + 140 T^{2} - 878 T^{3} + 6646 T^{4} - 27218 T^{5} + 134540 T^{6} - 297910 T^{7} + 923521 T^{8} \))(\( 1 - 12 T + 107 T^{2} - 540 T^{3} + 3346 T^{4} - 15792 T^{5} + 103726 T^{6} - 518940 T^{7} + 3187637 T^{8} - 11082252 T^{9} + 28629151 T^{10} \))(\( 1 - 14 T + 211 T^{2} - 1788 T^{3} + 14798 T^{4} - 83932 T^{5} + 458738 T^{6} - 1718268 T^{7} + 6285901 T^{8} - 12929294 T^{9} + 28629151 T^{10} \))(\( 1 - 8 T + 174 T^{2} - 1160 T^{3} + 13424 T^{4} - 74808 T^{5} + 636098 T^{6} - 3050040 T^{7} + 22156990 T^{8} - 94551240 T^{9} + 611290178 T^{10} - 2228605128 T^{11} + 12397345904 T^{12} - 33209815160 T^{13} + 154425640494 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 - 8 T + 174 T^{2} - 1160 T^{3} + 13424 T^{4} - 74808 T^{5} + 636098 T^{6} - 3050040 T^{7} + 22156990 T^{8} - 94551240 T^{9} + 611290178 T^{10} - 2228605128 T^{11} + 12397345904 T^{12} - 33209815160 T^{13} + 154425640494 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 - 44 T^{2} + 961 T^{4} \))(\( 1 - 12 T^{2} + 961 T^{4} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( 1 - 54 T^{2} + 961 T^{4} \))(\( 1 - 54 T^{2} + 961 T^{4} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( 1 - 12 T^{2} + 961 T^{4} \))(\( 1 - 44 T^{2} + 961 T^{4} \))(\( 1 - 356 T^{2} + 61544 T^{4} - 6865052 T^{6} + 554409616 T^{8} - 34496199012 T^{10} + 1717973499704 T^{12} - 70142618146140 T^{14} + 2379955389522206 T^{16} - 67407056038440540 T^{18} + 1586584604420137784 T^{20} - 30615503603658563172 T^{22} + \)\(47\!\cdots\!56\)\( T^{24} - \)\(56\!\cdots\!52\)\( T^{26} + \)\(48\!\cdots\!84\)\( T^{28} - \)\(26\!\cdots\!76\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 356 T^{2} + 61544 T^{4} - 6865052 T^{6} + 554409616 T^{8} - 34496199012 T^{10} + 1717973499704 T^{12} - 70142618146140 T^{14} + 2379955389522206 T^{16} - 67407056038440540 T^{18} + 1586584604420137784 T^{20} - 30615503603658563172 T^{22} + \)\(47\!\cdots\!56\)\( T^{24} - \)\(56\!\cdots\!52\)\( T^{26} + \)\(48\!\cdots\!84\)\( T^{28} - \)\(26\!\cdots\!76\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 + 3 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 14 T + 121 T^{2} + 518 T^{3} + 1369 T^{4} \))(\( 1 + 20 T + 172 T^{2} + 740 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 14 T + 111 T^{2} - 518 T^{3} + 1369 T^{4} \))(\( 1 - 14 T + 111 T^{2} - 518 T^{3} + 1369 T^{4} \))(\( 1 + 20 T + 172 T^{2} + 740 T^{3} + 1369 T^{4} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( 1 - 4 T + 70 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 11 T + 100 T^{2} - 407 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 25 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 48 T^{2} + 21 T^{3} + 1776 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 + 83 T^{2} + 16 T^{3} + 3071 T^{4} + 50653 T^{6} \))(\( 1 + 4 T + 91 T^{2} + 232 T^{3} + 3367 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + T + 87 T^{2} + 94 T^{3} + 3219 T^{4} + 1369 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 37 T^{2} + 68 T^{3} + 1369 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 66 T^{2} - 289 T^{3} + 2442 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 99 T^{2} - 664 T^{3} + 3663 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 91 T^{2} + 232 T^{3} + 3367 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + T + 46 T^{2} - 77 T^{3} + 1702 T^{4} + 1369 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 110 T^{2} + 582 T^{3} + 4434 T^{4} + 21534 T^{5} + 150590 T^{6} + 506530 T^{7} + 1874161 T^{8} \))(\( 1 - 9 T + 107 T^{2} - 670 T^{3} + 5406 T^{4} - 24790 T^{5} + 146483 T^{6} - 455877 T^{7} + 1874161 T^{8} \))(\( 1 - 3 T + 122 T^{2} - 273 T^{3} + 6346 T^{4} - 10101 T^{5} + 167018 T^{6} - 151959 T^{7} + 1874161 T^{8} \))(\( 1 + T + 135 T^{2} + 96 T^{3} + 8484 T^{4} + 4110 T^{5} + 313908 T^{6} + 131424 T^{7} + 6838155 T^{8} + 1874161 T^{9} + 69343957 T^{10} \))(\( 1 - 9 T + 81 T^{2} - 690 T^{3} + 5178 T^{4} - 34394 T^{5} + 191586 T^{6} - 944610 T^{7} + 4102893 T^{8} - 16867449 T^{9} + 69343957 T^{10} \))(\( 1 - 14 T + 219 T^{2} - 1874 T^{3} + 18052 T^{4} - 116174 T^{5} + 891365 T^{6} - 4928674 T^{7} + 34980102 T^{8} - 182360938 T^{9} + 1220278685 T^{10} - 5884561622 T^{11} + 33832354372 T^{12} - 129950575418 T^{13} + 561894083571 T^{14} - 1329046279862 T^{15} + 3512479453921 T^{16} \))(\( 1 - 14 T + 219 T^{2} - 1874 T^{3} + 18052 T^{4} - 116174 T^{5} + 891365 T^{6} - 4928674 T^{7} + 34980102 T^{8} - 182360938 T^{9} + 1220278685 T^{10} - 5884561622 T^{11} + 33832354372 T^{12} - 129950575418 T^{13} + 561894083571 T^{14} - 1329046279862 T^{15} + 3512479453921 T^{16} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 16 T + 269 T^{2} - 2480 T^{3} + 24724 T^{4} - 168876 T^{5} + 1334745 T^{6} - 7746124 T^{7} + 54540506 T^{8} - 286606588 T^{9} + 1827265905 T^{10} - 8554076028 T^{11} + 46336756564 T^{12} - 171973013360 T^{13} + 690180404021 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 16 T + 269 T^{2} - 2480 T^{3} + 24724 T^{4} - 168876 T^{5} + 1334745 T^{6} - 7746124 T^{7} + 54540506 T^{8} - 286606588 T^{9} + 1827265905 T^{10} - 8554076028 T^{11} + 46336756564 T^{12} - 171973013360 T^{13} + 690180404021 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 16 T^{2} + 1681 T^{4} \))(\( 1 + 12 T + 100 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 - 12 T + 100 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 106 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 + 14 T^{2} + 1681 T^{4} \))(\( 1 - 12 T + 100 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 131 T^{2} - 738 T^{3} + 5371 T^{4} - 16810 T^{5} + 68921 T^{6} \))(\( 1 + 16 T + 179 T^{2} + 1280 T^{3} + 7339 T^{4} + 26896 T^{5} + 68921 T^{6} \))(\( 1 + 83 T^{2} - 64 T^{3} + 3403 T^{4} + 68921 T^{6} \))(\( 1 - 14 T + 155 T^{2} - 1084 T^{3} + 6355 T^{4} - 23534 T^{5} + 68921 T^{6} \))(\( 1 + 4 T + 121 T^{2} + 324 T^{3} + 4961 T^{4} + 6724 T^{5} + 68921 T^{6} \))(\( 1 + 12 T + 129 T^{2} + 782 T^{3} + 5289 T^{4} + 20172 T^{5} + 68921 T^{6} \))(\( 1 + 12 T + 153 T^{2} + 956 T^{3} + 6273 T^{4} + 20172 T^{5} + 68921 T^{6} \))(\( 1 + 83 T^{2} + 64 T^{3} + 3403 T^{4} + 68921 T^{6} \))(\( 1 + 12 T + 113 T^{2} + 646 T^{3} + 4633 T^{4} + 20172 T^{5} + 68921 T^{6} \))(\( 1 + 2 T + 142 T^{2} + 190 T^{3} + 8290 T^{4} + 7790 T^{5} + 238702 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 124 T^{2} + 702 T^{3} + 4810 T^{4} + 28782 T^{5} + 208444 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 92 T^{2} - 16 T^{3} + 4358 T^{4} - 656 T^{5} + 154652 T^{6} + 2825761 T^{8} \))(\( 1 + 85 T^{2} - 528 T^{3} + 2290 T^{4} - 40608 T^{5} + 93890 T^{6} - 887568 T^{7} + 5858285 T^{8} + 115856201 T^{10} \))(\( 1 + 4 T + 103 T^{2} + 420 T^{3} + 5288 T^{4} + 21184 T^{5} + 216808 T^{6} + 706020 T^{7} + 7098863 T^{8} + 11303044 T^{9} + 115856201 T^{10} \))(\( 1 + 8 T + 194 T^{2} + 1632 T^{3} + 19216 T^{4} + 162608 T^{5} + 1249982 T^{6} + 10031400 T^{7} + 59313246 T^{8} + 411287400 T^{9} + 2101219742 T^{10} + 11207105968 T^{11} + 54299823376 T^{12} + 189077320032 T^{13} + 921520222754 T^{14} + 1558034191048 T^{15} + 7984925229121 T^{16} \))(\( 1 - 8 T + 194 T^{2} - 1632 T^{3} + 19216 T^{4} - 162608 T^{5} + 1249982 T^{6} - 10031400 T^{7} + 59313246 T^{8} - 411287400 T^{9} + 2101219742 T^{10} - 11207105968 T^{11} + 54299823376 T^{12} - 189077320032 T^{13} + 921520222754 T^{14} - 1558034191048 T^{15} + 7984925229121 T^{16} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 88 T^{2} - 192 T^{3} + 3730 T^{4} - 12008 T^{5} + 169712 T^{6} - 787124 T^{7} + 7094090 T^{8} - 32272084 T^{9} + 285285872 T^{10} - 827603368 T^{11} + 10540088530 T^{12} - 22244390592 T^{13} + 418009173208 T^{14} - 779017095524 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 4 T + 88 T^{2} + 192 T^{3} + 3730 T^{4} + 12008 T^{5} + 169712 T^{6} + 787124 T^{7} + 7094090 T^{8} + 32272084 T^{9} + 285285872 T^{10} + 827603368 T^{11} + 10540088530 T^{12} + 22244390592 T^{13} + 418009173208 T^{14} + 779017095524 T^{15} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 - 10 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 16 T + 132 T^{2} + 688 T^{3} + 1849 T^{4} \))(\( ( 1 - 6 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 2 T + 43 T^{2} )^{2} \))(\( ( 1 + 2 T + 43 T^{2} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} )^{2} \))(\( 1 + 8 T + 54 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 6 T + 78 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 - 12 T + 104 T^{2} - 516 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 109 T^{2} - 278 T^{3} + 4687 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 - 4 T + 65 T^{2} - 216 T^{3} + 2795 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( ( 1 - 8 T + 43 T^{2} )^{3} \))(\( 1 + 10 T + 129 T^{2} + 796 T^{3} + 5547 T^{4} + 18490 T^{5} + 79507 T^{6} \))(\( 1 + 101 T^{2} - 16 T^{3} + 4343 T^{4} + 79507 T^{6} \))(\( 1 - 6 T + 75 T^{2} - 394 T^{3} + 3225 T^{4} - 11094 T^{5} + 79507 T^{6} \))(\( ( 1 + 2 T + 43 T^{2} )^{3} \))(\( ( 1 - 8 T + 43 T^{2} )^{3} \))(\( 1 + 6 T + 3 T^{2} - 290 T^{3} + 129 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 4 T + 80 T^{2} + 196 T^{3} + 4206 T^{4} + 8428 T^{5} + 147920 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 16 T + 236 T^{2} + 2034 T^{3} + 16350 T^{4} + 87462 T^{5} + 436364 T^{6} + 1272112 T^{7} + 3418801 T^{8} \))(\( 1 + 6 T + 92 T^{2} + 518 T^{3} + 6006 T^{4} + 22274 T^{5} + 170108 T^{6} + 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 2 T + 111 T^{2} + 24 T^{3} + 6354 T^{4} - 4308 T^{5} + 273222 T^{6} + 44376 T^{7} + 8825277 T^{8} + 6837602 T^{9} + 147008443 T^{10} \))(\( 1 - 18 T + 243 T^{2} - 2448 T^{3} + 19926 T^{4} - 143708 T^{5} + 856818 T^{6} - 4526352 T^{7} + 19320201 T^{8} - 61538418 T^{9} + 147008443 T^{10} \))(\( 1 - 8 T + 144 T^{2} - 424 T^{3} + 5820 T^{4} + 20568 T^{5} - 6416 T^{6} + 3089464 T^{7} - 8237850 T^{8} + 132846952 T^{9} - 11863184 T^{10} + 1635299976 T^{11} + 19897421820 T^{12} - 62331579832 T^{13} + 910276279056 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 - 8 T + 144 T^{2} - 424 T^{3} + 5820 T^{4} + 20568 T^{5} - 6416 T^{6} + 3089464 T^{7} - 8237850 T^{8} + 132846952 T^{9} - 11863184 T^{10} + 1635299976 T^{11} + 19897421820 T^{12} - 62331579832 T^{13} + 910276279056 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( ( 1 - 43 T^{2} )^{2} \))(\( 1 - 54 T^{2} + 1849 T^{4} \))(\( ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) \))(\( 1 - 54 T^{2} + 1849 T^{4} \))(\( 1 - 54 T^{2} + 1849 T^{4} \))(\( ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) \))(\( 1 - 54 T^{2} + 1849 T^{4} \))(\( ( 1 - 43 T^{2} )^{2} \))(\( 1 - 88 T^{2} + 9648 T^{4} - 590152 T^{6} + 36665500 T^{8} - 1823293528 T^{10} + 84892264016 T^{12} - 3881157187976 T^{14} + 160891788941702 T^{16} - 7176259640567624 T^{18} + 290229757110164816 T^{20} - 11525700335380046872 T^{22} + \)\(42\!\cdots\!00\)\( T^{24} - \)\(12\!\cdots\!48\)\( T^{26} + \)\(38\!\cdots\!48\)\( T^{28} - \)\(65\!\cdots\!12\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 88 T^{2} + 9648 T^{4} - 590152 T^{6} + 36665500 T^{8} - 1823293528 T^{10} + 84892264016 T^{12} - 3881157187976 T^{14} + 160891788941702 T^{16} - 7176259640567624 T^{18} + 290229757110164816 T^{20} - 11525700335380046872 T^{22} + \)\(42\!\cdots\!00\)\( T^{24} - \)\(12\!\cdots\!48\)\( T^{26} + \)\(38\!\cdots\!48\)\( T^{28} - \)\(65\!\cdots\!12\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 4 T + 80 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 752 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 80 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 14 T^{2} + 2209 T^{4} \))(\( 1 - 14 T^{2} + 2209 T^{4} \))(\( 1 + 16 T + 150 T^{2} + 752 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 100 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 80 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 14 T + 126 T^{2} + 658 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 108 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 2 T + 47 T^{2} - 446 T^{3} + 2209 T^{4} - 4418 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 127 T^{2} + 156 T^{3} + 5969 T^{4} + 4418 T^{5} + 103823 T^{6} \))(\( 1 - 8 T + 143 T^{2} - 688 T^{3} + 6721 T^{4} - 17672 T^{5} + 103823 T^{6} \))(\( 1 - 18 T + 239 T^{2} - 1856 T^{3} + 11233 T^{4} - 39762 T^{5} + 103823 T^{6} \))(\( 1 + 26 T + 349 T^{2} + 2940 T^{3} + 16403 T^{4} + 57434 T^{5} + 103823 T^{6} \))(\( 1 + 33 T^{2} - 54 T^{3} + 1551 T^{4} + 103823 T^{6} \))(\( 1 - 6 T + 45 T^{2} - 388 T^{3} + 2115 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 + 8 T + 143 T^{2} + 688 T^{3} + 6721 T^{4} + 17672 T^{5} + 103823 T^{6} \))(\( 1 + 8 T + 125 T^{2} + 622 T^{3} + 5875 T^{4} + 17672 T^{5} + 103823 T^{6} \))(\( 1 + 18 T + 288 T^{2} + 2698 T^{3} + 22622 T^{4} + 126806 T^{5} + 636192 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T + 78 T^{2} + 612 T^{3} + 5978 T^{4} + 28764 T^{5} + 172302 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 14 T + 116 T^{2} - 762 T^{3} + 4862 T^{4} - 35814 T^{5} + 256244 T^{6} - 1453522 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T + 143 T^{2} + 1204 T^{3} + 8646 T^{4} + 69988 T^{5} + 406362 T^{6} + 2659636 T^{7} + 14846689 T^{8} + 48796810 T^{9} + 229345007 T^{10} \))(\( 1 - 2 T + 73 T^{2} + 228 T^{3} + 4304 T^{4} + 9244 T^{5} + 202288 T^{6} + 503652 T^{7} + 7579079 T^{8} - 9759362 T^{9} + 229345007 T^{10} \))(\( 1 + 12 T + 300 T^{2} + 2516 T^{3} + 36748 T^{4} + 235092 T^{5} + 2665620 T^{6} + 14081420 T^{7} + 140674022 T^{8} + 661826740 T^{9} + 5888354580 T^{10} + 24407956716 T^{11} + 179318517388 T^{12} + 577032037612 T^{13} + 3233764598700 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 - 12 T + 300 T^{2} - 2516 T^{3} + 36748 T^{4} - 235092 T^{5} + 2665620 T^{6} - 14081420 T^{7} + 140674022 T^{8} - 661826740 T^{9} + 5888354580 T^{10} - 24407956716 T^{11} + 179318517388 T^{12} - 577032037612 T^{13} + 3233764598700 T^{14} - 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 - 92 T^{2} + 2209 T^{4} \))(\( 1 + 4 T^{2} + 2209 T^{4} \))(\( 1 - 44 T^{2} + 2209 T^{4} \))(\( 1 - 86 T^{2} + 2209 T^{4} \))(\( 1 - 86 T^{2} + 2209 T^{4} \))(\( 1 - 44 T^{2} + 2209 T^{4} \))(\( 1 + 4 T^{2} + 2209 T^{4} \))(\( 1 - 92 T^{2} + 2209 T^{4} \))(\( 1 - 236 T^{2} + 31140 T^{4} - 3102004 T^{6} + 253966836 T^{8} - 17838006620 T^{10} + 1103973200988 T^{12} - 60912719078276 T^{14} + 3016913541521174 T^{16} - 134556196443911684 T^{18} + 5387037053370324828 T^{20} - \)\(19\!\cdots\!80\)\( T^{22} + \)\(60\!\cdots\!96\)\( T^{24} - \)\(16\!\cdots\!96\)\( T^{26} + \)\(36\!\cdots\!40\)\( T^{28} - \)\(60\!\cdots\!84\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 236 T^{2} + 31140 T^{4} - 3102004 T^{6} + 253966836 T^{8} - 17838006620 T^{10} + 1103973200988 T^{12} - 60912719078276 T^{14} + 3016913541521174 T^{16} - 134556196443911684 T^{18} + 5387037053370324828 T^{20} - \)\(19\!\cdots\!80\)\( T^{22} + \)\(60\!\cdots\!96\)\( T^{24} - \)\(16\!\cdots\!96\)\( T^{26} + \)\(36\!\cdots\!40\)\( T^{28} - \)\(60\!\cdots\!84\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 16 T + 168 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 90 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 18 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( ( 1 - 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( 1 + 8 T + 90 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( 1 + 94 T^{2} + 2809 T^{4} \))(\( 1 + 4 T - 18 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 98 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 4 T + 108 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 - 2 T + 101 T^{2} - 230 T^{3} + 5353 T^{4} - 5618 T^{5} + 148877 T^{6} \))(\( 1 + 10 T + 163 T^{2} + 972 T^{3} + 8639 T^{4} + 28090 T^{5} + 148877 T^{6} \))(\( ( 1 + 6 T + 53 T^{2} )^{3} \))(\( 1 - 12 T + 11 T^{2} + 424 T^{3} + 583 T^{4} - 33708 T^{5} + 148877 T^{6} \))(\( 1 + 22 T + 303 T^{2} + 2604 T^{3} + 16059 T^{4} + 61798 T^{5} + 148877 T^{6} \))(\( 1 + 147 T^{2} + 2 T^{3} + 7791 T^{4} + 148877 T^{6} \))(\( 1 - 12 T + 135 T^{2} - 888 T^{3} + 7155 T^{4} - 33708 T^{5} + 148877 T^{6} \))(\( ( 1 - 6 T + 53 T^{2} )^{3} \))(\( 1 + 12 T + 87 T^{2} + 354 T^{3} + 4611 T^{4} + 33708 T^{5} + 148877 T^{6} \))(\( 1 - 4 T + 40 T^{2} - 332 T^{3} + 5950 T^{4} - 17596 T^{5} + 112360 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 102 T^{2} + 810 T^{3} + 8870 T^{4} + 42930 T^{5} + 286518 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 10 T + 168 T^{2} - 1230 T^{3} + 12542 T^{4} - 65190 T^{5} + 471912 T^{6} - 1488770 T^{7} + 7890481 T^{8} \))(\( 1 + 12 T + 241 T^{2} + 2256 T^{3} + 24418 T^{4} + 172296 T^{5} + 1294154 T^{6} + 6337104 T^{7} + 35879357 T^{8} + 94685772 T^{9} + 418195493 T^{10} \))(\( 1 + 61 T^{2} - 432 T^{3} + 6310 T^{4} - 4320 T^{5} + 334430 T^{6} - 1213488 T^{7} + 9081497 T^{8} + 418195493 T^{10} \))(\( 1 + 8 T + 128 T^{2} + 760 T^{3} + 6940 T^{4} + 29896 T^{5} + 153984 T^{6} - 114952 T^{7} - 1219802 T^{8} - 6092456 T^{9} + 432541056 T^{10} + 4450826792 T^{11} + 54759938140 T^{12} + 317828574680 T^{13} + 2837038224512 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( 1 - 8 T + 128 T^{2} - 760 T^{3} + 6940 T^{4} - 29896 T^{5} + 153984 T^{6} + 114952 T^{7} - 1219802 T^{8} + 6092456 T^{9} + 432541056 T^{10} - 4450826792 T^{11} + 54759938140 T^{12} - 317828574680 T^{13} + 2837038224512 T^{14} - 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 - 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 172 T^{2} + 124 T^{3} + 13704 T^{4} - 18028 T^{5} + 1035940 T^{6} - 527028 T^{7} + 68170350 T^{8} - 27932484 T^{9} + 2909955460 T^{10} - 2683954556 T^{11} + 108131151624 T^{12} + 51856241132 T^{13} + 3812270114188 T^{14} + 4698844559348 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 4 T + 172 T^{2} - 124 T^{3} + 13704 T^{4} + 18028 T^{5} + 1035940 T^{6} + 527028 T^{7} + 68170350 T^{8} + 27932484 T^{9} + 2909955460 T^{10} + 2683954556 T^{11} + 108131151624 T^{12} - 51856241132 T^{13} + 3812270114188 T^{14} - 4698844559348 T^{15} + 62259690411361 T^{16} )^{2} \))
$59$ (\( 1 - 10 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 2 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 2 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 14 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 20 T^{2} + 3481 T^{4} \))(\( 1 + 12 T + 82 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 122 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 122 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 122 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 82 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 106 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 122 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 150 T^{2} + 826 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 136 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 145 T^{2} + 622 T^{3} + 8555 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 - 8 T + 69 T^{2} - 96 T^{3} + 4071 T^{4} - 27848 T^{5} + 205379 T^{6} \))(\( 1 - 2 T + 101 T^{2} - 436 T^{3} + 5959 T^{4} - 6962 T^{5} + 205379 T^{6} \))(\( 1 - 2 T + 101 T^{2} - 436 T^{3} + 5959 T^{4} - 6962 T^{5} + 205379 T^{6} \))(\( 1 + 20 T + 281 T^{2} + 2488 T^{3} + 16579 T^{4} + 69620 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 183 T^{2} - 1214 T^{3} + 10797 T^{4} - 41772 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 33 T^{2} - 300 T^{3} + 1947 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 + 2 T + 101 T^{2} + 436 T^{3} + 5959 T^{4} + 6962 T^{5} + 205379 T^{6} \))(\( 1 - 4 T + 23 T^{2} - 482 T^{3} + 1357 T^{4} - 13924 T^{5} + 205379 T^{6} \))(\( 1 + 28 T + 480 T^{2} + 5516 T^{3} + 48942 T^{4} + 325444 T^{5} + 1670880 T^{6} + 5750612 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T + 200 T^{2} + 1280 T^{3} + 8822 T^{4} + 75520 T^{5} + 696200 T^{6} + 3696822 T^{7} + 12117361 T^{8} \))(\( 1 + 164 T^{2} - 16 T^{3} + 12566 T^{4} - 944 T^{5} + 570884 T^{6} + 12117361 T^{8} \))(\( 1 + 175 T^{2} + 528 T^{3} + 13810 T^{4} + 59616 T^{5} + 814790 T^{6} + 1837968 T^{7} + 35941325 T^{8} + 714924299 T^{10} \))(\( 1 + 10 T + 75 T^{2} + 112 T^{3} + 5534 T^{4} + 44780 T^{5} + 326506 T^{6} + 389872 T^{7} + 15403425 T^{8} + 121173610 T^{9} + 714924299 T^{10} \))(\( 1 + 296 T^{2} + 32 T^{3} + 43356 T^{4} + 16992 T^{5} + 4136408 T^{6} + 2240704 T^{7} + 283537574 T^{8} + 132201536 T^{9} + 14398836248 T^{10} + 3489799968 T^{11} + 525360303516 T^{12} + 22877577568 T^{13} + 12485437957736 T^{14} + 146830437604321 T^{16} \))(\( 1 + 296 T^{2} - 32 T^{3} + 43356 T^{4} - 16992 T^{5} + 4136408 T^{6} - 2240704 T^{7} + 283537574 T^{8} - 132201536 T^{9} + 14398836248 T^{10} - 3489799968 T^{11} + 525360303516 T^{12} - 22877577568 T^{13} + 12485437957736 T^{14} + 146830437604321 T^{16} \))(\( 1 + 10 T^{2} + 3481 T^{4} \))(\( 1 - 86 T^{2} + 3481 T^{4} \))(\( 1 - 116 T^{2} + 3481 T^{4} \))(\( ( 1 - 6 T + 59 T^{2} )( 1 + 6 T + 59 T^{2} ) \))(\( ( 1 - 6 T + 59 T^{2} )( 1 + 6 T + 59 T^{2} ) \))(\( 1 - 116 T^{2} + 3481 T^{4} \))(\( 1 - 86 T^{2} + 3481 T^{4} \))(\( 1 + 10 T^{2} + 3481 T^{4} \))(\( 1 - 584 T^{2} + 167280 T^{4} - 31375000 T^{6} + 4345877148 T^{8} - 474929551176 T^{10} + 42593872173456 T^{12} - 3206861640064088 T^{14} + 204993910642000518 T^{16} - 11163085369063090328 T^{18} + \)\(51\!\cdots\!16\)\( T^{20} - \)\(20\!\cdots\!16\)\( T^{22} + \)\(63\!\cdots\!08\)\( T^{24} - \)\(16\!\cdots\!00\)\( T^{26} + \)\(29\!\cdots\!80\)\( T^{28} - \)\(36\!\cdots\!24\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 584 T^{2} + 167280 T^{4} - 31375000 T^{6} + 4345877148 T^{8} - 474929551176 T^{10} + 42593872173456 T^{12} - 3206861640064088 T^{14} + 204993910642000518 T^{16} - 11163085369063090328 T^{18} + \)\(51\!\cdots\!16\)\( T^{20} - \)\(20\!\cdots\!16\)\( T^{22} + \)\(63\!\cdots\!08\)\( T^{24} - \)\(16\!\cdots\!00\)\( T^{26} + \)\(29\!\cdots\!80\)\( T^{28} - \)\(36\!\cdots\!24\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 11 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 3 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 3 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 + 15 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 10 T + 145 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 16 T + 168 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 76 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 21 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 21 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 16 T + 168 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 120 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 76 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 5 T + 124 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 39 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 19 T + 296 T^{2} + 2519 T^{3} + 18056 T^{4} + 70699 T^{5} + 226981 T^{6} \))(\( 1 - 10 T + 25 T^{2} + 356 T^{3} + 1525 T^{4} - 37210 T^{5} + 226981 T^{6} \))(\( 1 + 6 T + 185 T^{2} + 712 T^{3} + 11285 T^{4} + 22326 T^{5} + 226981 T^{6} \))(\( 1 - 3 T + 41 T^{2} + 344 T^{3} + 2501 T^{4} - 11163 T^{5} + 226981 T^{6} \))(\( 1 - 10 T + 161 T^{2} - 1212 T^{3} + 9821 T^{4} - 37210 T^{5} + 226981 T^{6} \))(\( 1 + 3 T + 138 T^{2} + 433 T^{3} + 8418 T^{4} + 11163 T^{5} + 226981 T^{6} \))(\( 1 + 3 T + 147 T^{2} + 240 T^{3} + 8967 T^{4} + 11163 T^{5} + 226981 T^{6} \))(\( 1 + 6 T + 185 T^{2} + 712 T^{3} + 11285 T^{4} + 22326 T^{5} + 226981 T^{6} \))(\( 1 - 3 T + 86 T^{2} - 17 T^{3} + 5246 T^{4} - 11163 T^{5} + 226981 T^{6} \))(\( 1 + 28 T + 466 T^{2} + 5400 T^{3} + 47978 T^{4} + 329400 T^{5} + 1733986 T^{6} + 6355468 T^{7} + 13845841 T^{8} \))(\( 1 + 11 T + 139 T^{2} + 918 T^{3} + 9230 T^{4} + 55998 T^{5} + 517219 T^{6} + 2496791 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 254 T^{2} - 1599 T^{3} + 23518 T^{4} - 97539 T^{5} + 945134 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 7 T + 195 T^{2} - 1608 T^{3} + 18348 T^{4} - 146034 T^{5} + 1119228 T^{6} - 5983368 T^{7} + 44261295 T^{8} - 96920887 T^{9} + 844596301 T^{10} \))(\( 1 - 19 T + 351 T^{2} - 3744 T^{3} + 40596 T^{4} - 310374 T^{5} + 2476356 T^{6} - 13931424 T^{7} + 79670331 T^{8} - 263070979 T^{9} + 844596301 T^{10} \))(\( 1 - 8 T + 363 T^{2} - 2316 T^{3} + 61984 T^{4} - 327436 T^{5} + 6581501 T^{6} - 29215552 T^{7} + 478837230 T^{8} - 1782148672 T^{9} + 24489765221 T^{10} - 74321750716 T^{11} + 858220608544 T^{12} - 1956085033116 T^{13} + 18701895893043 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 363 T^{2} - 2316 T^{3} + 61984 T^{4} - 327436 T^{5} + 6581501 T^{6} - 29215552 T^{7} + 478837230 T^{8} - 1782148672 T^{9} + 24489765221 T^{10} - 74321750716 T^{11} + 858220608544 T^{12} - 1956085033116 T^{13} + 18701895893043 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 104 T^{2} + 3721 T^{4} \))(\( 1 - 104 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 164 T^{2} + 23637 T^{4} - 2264768 T^{6} + 219737070 T^{8} - 17352386456 T^{10} + 1361333769007 T^{12} - 88851384720820 T^{14} + 5835679164863962 T^{16} - 330616002546171220 T^{18} + 18848810913601649887 T^{20} - \)\(89\!\cdots\!16\)\( T^{22} + \)\(42\!\cdots\!70\)\( T^{24} - \)\(16\!\cdots\!68\)\( T^{26} + \)\(62\!\cdots\!77\)\( T^{28} - \)\(16\!\cdots\!24\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 164 T^{2} + 23637 T^{4} - 2264768 T^{6} + 219737070 T^{8} - 17352386456 T^{10} + 1361333769007 T^{12} - 88851384720820 T^{14} + 5835679164863962 T^{16} - 330616002546171220 T^{18} + 18848810913601649887 T^{20} - \)\(89\!\cdots\!16\)\( T^{22} + \)\(42\!\cdots\!70\)\( T^{24} - \)\(16\!\cdots\!68\)\( T^{26} + \)\(62\!\cdots\!77\)\( T^{28} - \)\(16\!\cdots\!24\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 - 4 T - 144 T^{2} + 1052 T^{3} + 6556 T^{4} - 111204 T^{5} + 538512 T^{6} + 3644572 T^{7} - 74118810 T^{8} + 244186324 T^{9} + 2417380368 T^{10} - 33446048652 T^{11} + 132110749276 T^{12} + 1420331612564 T^{13} - 13026007032336 T^{14} - 24242846421292 T^{15} + 406067677556641 T^{16} \))(\( 1 - 4 T - 144 T^{2} + 1052 T^{3} + 6556 T^{4} - 111204 T^{5} + 538512 T^{6} + 3644572 T^{7} - 74118810 T^{8} + 244186324 T^{9} + 2417380368 T^{10} - 33446048652 T^{11} + 132110749276 T^{12} + 1420331612564 T^{13} - 13026007032336 T^{14} - 24242846421292 T^{15} + 406067677556641 T^{16} \))
$71$ (\( 1 - 3 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 9 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 9 T + 71 T^{2} \))(\( 1 + 5 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 10 T + 149 T^{2} + 710 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 146 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 4 T - 16 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 119 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 119 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 146 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 + 6 T + 124 T^{2} + 426 T^{3} + 5041 T^{4} \))(\( 1 - 4 T - 16 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 9 T + 158 T^{2} + 639 T^{3} + 5041 T^{4} \))(\( 1 - 18 T + 173 T^{2} - 1278 T^{3} + 5041 T^{4} \))(\( 1 - T + 118 T^{2} + 211 T^{3} + 8378 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 + 38 T + 687 T^{2} + 7332 T^{3} + 48777 T^{4} + 191558 T^{5} + 357911 T^{6} \))(\( 1 - 4 T + 23 T^{2} + 736 T^{3} + 1633 T^{4} - 20164 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 191 T^{2} + 1036 T^{3} + 13561 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 - 6 T + 113 T^{2} - 764 T^{3} + 8023 T^{4} - 30246 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 228 T^{2} + 1271 T^{3} + 16188 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 - 15 T + 45 T^{2} + 402 T^{3} + 3195 T^{4} - 75615 T^{5} + 357911 T^{6} \))(\( 1 + 4 T + 23 T^{2} - 736 T^{3} + 1633 T^{4} + 20164 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 176 T^{2} + 1859 T^{3} + 12496 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 + 6 T + 156 T^{2} + 1078 T^{3} + 12086 T^{4} + 76538 T^{5} + 786396 T^{6} + 2147466 T^{7} + 25411681 T^{8} \))(\( 1 + 27 T + 405 T^{2} + 4664 T^{3} + 44204 T^{4} + 331144 T^{5} + 2041605 T^{6} + 9663597 T^{7} + 25411681 T^{8} \))(\( 1 - 9 T + 242 T^{2} - 1313 T^{3} + 22814 T^{4} - 93223 T^{5} + 1219922 T^{6} - 3221199 T^{7} + 25411681 T^{8} \))(\( 1 - 21 T + 229 T^{2} - 1356 T^{3} + 5944 T^{4} - 28542 T^{5} + 422024 T^{6} - 6835596 T^{7} + 81961619 T^{8} - 533645301 T^{9} + 1804229351 T^{10} \))(\( 1 - 3 T + 285 T^{2} - 630 T^{3} + 36044 T^{4} - 60486 T^{5} + 2559124 T^{6} - 3175830 T^{7} + 102004635 T^{8} - 76235043 T^{9} + 1804229351 T^{10} \))(\( 1 + 8 T + 381 T^{2} + 2556 T^{3} + 71090 T^{4} + 404188 T^{5} + 8497851 T^{6} + 41396328 T^{7} + 712293738 T^{8} + 2939139288 T^{9} + 42837666891 T^{10} + 144663331268 T^{11} + 1806516402290 T^{12} + 4611610221156 T^{13} + 48806208173901 T^{14} + 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( 1 - 8 T + 381 T^{2} - 2556 T^{3} + 71090 T^{4} - 404188 T^{5} + 8497851 T^{6} - 41396328 T^{7} + 712293738 T^{8} - 2939139288 T^{9} + 42837666891 T^{10} - 144663331268 T^{11} + 1806516402290 T^{12} - 4611610221156 T^{13} + 48806208173901 T^{14} - 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( 1 - 110 T^{2} + 5041 T^{4} \))(\( 1 + 58 T^{2} + 5041 T^{4} \))(\( 1 - 92 T^{2} + 5041 T^{4} \))(\( 1 - 92 T^{2} + 5041 T^{4} \))(\( 1 - 92 T^{2} + 5041 T^{4} \))(\( 1 - 92 T^{2} + 5041 T^{4} \))(\( 1 + 58 T^{2} + 5041 T^{4} \))(\( 1 - 110 T^{2} + 5041 T^{4} \))(\( 1 - 436 T^{2} + 103865 T^{4} - 17205272 T^{6} + 2228671174 T^{8} - 240033414624 T^{10} + 22427523978183 T^{12} - 1860695785363924 T^{14} + 139019003009222450 T^{16} - 9379767454019540884 T^{18} + \)\(56\!\cdots\!23\)\( T^{20} - \)\(30\!\cdots\!04\)\( T^{22} + \)\(14\!\cdots\!14\)\( T^{24} - \)\(56\!\cdots\!72\)\( T^{26} + \)\(17\!\cdots\!65\)\( T^{28} - \)\(36\!\cdots\!16\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 436 T^{2} + 103865 T^{4} - 17205272 T^{6} + 2228671174 T^{8} - 240033414624 T^{10} + 22427523978183 T^{12} - 1860695785363924 T^{14} + 139019003009222450 T^{16} - 9379767454019540884 T^{18} + \)\(56\!\cdots\!23\)\( T^{20} - \)\(30\!\cdots\!04\)\( T^{22} + \)\(14\!\cdots\!14\)\( T^{24} - \)\(56\!\cdots\!72\)\( T^{26} + \)\(17\!\cdots\!65\)\( T^{28} - \)\(36\!\cdots\!16\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 4 T + 100 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T + 118 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 - 4 T + 118 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 170 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 170 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 + 4 T + 118 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( 1 - 4 T + 118 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 154 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 112 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 14 T + 143 T^{2} + 1178 T^{3} + 10439 T^{4} + 74606 T^{5} + 389017 T^{6} \))(\( ( 1 + 2 T + 73 T^{2} )^{3} \))(\( 1 - 10 T + 119 T^{2} - 972 T^{3} + 8687 T^{4} - 53290 T^{5} + 389017 T^{6} \))(\( 1 + 16 T + 207 T^{2} + 1744 T^{3} + 15111 T^{4} + 85264 T^{5} + 389017 T^{6} \))(\( 1 - 10 T + 223 T^{2} - 1372 T^{3} + 16279 T^{4} - 53290 T^{5} + 389017 T^{6} \))(\( 1 + 24 T + 405 T^{2} + 3966 T^{3} + 29565 T^{4} + 127896 T^{5} + 389017 T^{6} \))(\( 1 - 12 T + 159 T^{2} - 1352 T^{3} + 11607 T^{4} - 63948 T^{5} + 389017 T^{6} \))(\( 1 - 10 T + 119 T^{2} - 972 T^{3} + 8687 T^{4} - 53290 T^{5} + 389017 T^{6} \))(\( 1 - 16 T + 245 T^{2} - 1998 T^{3} + 17885 T^{4} - 85264 T^{5} + 389017 T^{6} \))(\( 1 + 12 T - 4 T^{2} + 628 T^{3} + 15846 T^{4} + 45844 T^{5} - 21316 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 208 T^{2} - 458 T^{3} + 19258 T^{4} - 33434 T^{5} + 1108432 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 14 T + 248 T^{2} + 2274 T^{3} + 25134 T^{4} + 166002 T^{5} + 1321592 T^{6} + 5446238 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 221 T^{2} + 2016 T^{3} + 23338 T^{4} + 166056 T^{5} + 1703674 T^{6} + 10743264 T^{7} + 85972757 T^{8} + 340778892 T^{9} + 2073071593 T^{10} \))(\( 1 - 12 T + 309 T^{2} - 2880 T^{3} + 40914 T^{4} - 296552 T^{5} + 2986722 T^{6} - 15347520 T^{7} + 120206253 T^{8} - 340778892 T^{9} + 2073071593 T^{10} \))(\( 1 - 16 T + 444 T^{2} - 5728 T^{3} + 85092 T^{4} - 951168 T^{5} + 9909764 T^{6} - 98964112 T^{7} + 827717238 T^{8} - 7224380176 T^{9} + 52809132356 T^{10} - 370020521856 T^{11} + 2416463123172 T^{12} - 11874554084704 T^{13} + 67192396472316 T^{14} - 176758376305552 T^{15} + 806460091894081 T^{16} \))(\( 1 - 16 T + 444 T^{2} - 5728 T^{3} + 85092 T^{4} - 951168 T^{5} + 9909764 T^{6} - 98964112 T^{7} + 827717238 T^{8} - 7224380176 T^{9} + 52809132356 T^{10} - 370020521856 T^{11} + 2416463123172 T^{12} - 11874554084704 T^{13} + 67192396472316 T^{14} - 176758376305552 T^{15} + 806460091894081 T^{16} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 8 T + 448 T^{2} - 2888 T^{3} + 94100 T^{4} - 507992 T^{5} + 12229600 T^{6} - 55637848 T^{7} + 1073875926 T^{8} - 4061562904 T^{9} + 65171538400 T^{10} - 197617523864 T^{11} + 2672274478100 T^{12} - 5987030760584 T^{13} + 67797733377472 T^{14} - 88379188152776 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 8 T + 448 T^{2} - 2888 T^{3} + 94100 T^{4} - 507992 T^{5} + 12229600 T^{6} - 55637848 T^{7} + 1073875926 T^{8} - 4061562904 T^{9} + 65171538400 T^{10} - 197617523864 T^{11} + 2672274478100 T^{12} - 5987030760584 T^{13} + 67797733377472 T^{14} - 88379188152776 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 6 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 4 T + 130 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 20 T + 240 T^{2} + 1580 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 172 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 66 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 66 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 20 T + 240 T^{2} + 1580 T^{3} + 6241 T^{4} \))(\( 1 + 2 T + 12 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 172 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 30 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( 1 - 8 T + 189 T^{2} - 976 T^{3} + 14931 T^{4} - 49928 T^{5} + 493039 T^{6} \))(\( 1 - 4 T + 227 T^{2} - 636 T^{3} + 17933 T^{4} - 24964 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 339 T^{2} - 3368 T^{3} + 26781 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 + 10 T + 75 T^{2} - 80 T^{3} + 5925 T^{4} + 62410 T^{5} + 493039 T^{6} \))(\( 1 - 4 T + 187 T^{2} - 700 T^{3} + 14773 T^{4} - 24964 T^{5} + 493039 T^{6} \))(\( 1 + 189 T^{2} + 16 T^{3} + 14931 T^{4} + 493039 T^{6} \))(\( 1 - 12 T + 195 T^{2} - 1308 T^{3} + 15405 T^{4} - 74892 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 339 T^{2} - 3368 T^{3} + 26781 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 141 T^{2} + 1816 T^{3} + 11139 T^{4} + 74892 T^{5} + 493039 T^{6} \))(\( 1 + 4 T + 202 T^{2} + 480 T^{3} + 19394 T^{4} + 37920 T^{5} + 1260682 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 20 T + 380 T^{2} + 4388 T^{3} + 47814 T^{4} + 346652 T^{5} + 2371580 T^{6} + 9860780 T^{7} + 38950081 T^{8} \))(\( 1 - 12 T + 200 T^{2} - 992 T^{3} + 13686 T^{4} - 78368 T^{5} + 1248200 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( 1 - 10 T + 195 T^{2} - 1932 T^{3} + 17874 T^{4} - 195492 T^{5} + 1412046 T^{6} - 12057612 T^{7} + 96142605 T^{8} - 389500810 T^{9} + 3077056399 T^{10} \))(\( 1 - 8 T + 239 T^{2} - 2036 T^{3} + 28066 T^{4} - 219600 T^{5} + 2217214 T^{6} - 12706676 T^{7} + 117836321 T^{8} - 311600648 T^{9} + 3077056399 T^{10} \))(\( 1 - 20 T + 506 T^{2} - 7964 T^{3} + 122800 T^{4} - 1522892 T^{5} + 17907702 T^{6} - 181760068 T^{7} + 1717592190 T^{8} - 14359045372 T^{9} + 111761968182 T^{10} - 750845148788 T^{11} + 4783069946800 T^{12} - 24505677161636 T^{13} + 123002252493626 T^{14} - 384078179723180 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 20 T + 506 T^{2} - 7964 T^{3} + 122800 T^{4} - 1522892 T^{5} + 17907702 T^{6} - 181760068 T^{7} + 1717592190 T^{8} - 14359045372 T^{9} + 111761968182 T^{10} - 750845148788 T^{11} + 4783069946800 T^{12} - 24505677161636 T^{13} + 123002252493626 T^{14} - 384078179723180 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 140 T^{2} + 6241 T^{4} \))(\( 1 + 84 T^{2} + 6241 T^{4} \))(\( 1 + 130 T^{2} + 6241 T^{4} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( 1 + 130 T^{2} + 6241 T^{4} \))(\( 1 + 84 T^{2} + 6241 T^{4} \))(\( 1 - 140 T^{2} + 6241 T^{4} \))(\( 1 - 692 T^{2} + 251368 T^{4} - 62358860 T^{6} + 11696423312 T^{8} - 1746760099060 T^{10} + 213912626620344 T^{12} - 21851789495031500 T^{14} + 1878932976025351710 T^{16} - \)\(13\!\cdots\!00\)\( T^{18} + \)\(83\!\cdots\!64\)\( T^{20} - \)\(42\!\cdots\!60\)\( T^{22} + \)\(17\!\cdots\!32\)\( T^{24} - \)\(59\!\cdots\!60\)\( T^{26} + \)\(14\!\cdots\!88\)\( T^{28} - \)\(25\!\cdots\!52\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 692 T^{2} + 251368 T^{4} - 62358860 T^{6} + 11696423312 T^{8} - 1746760099060 T^{10} + 213912626620344 T^{12} - 21851789495031500 T^{14} + 1878932976025351710 T^{16} - \)\(13\!\cdots\!00\)\( T^{18} + \)\(83\!\cdots\!64\)\( T^{20} - \)\(42\!\cdots\!60\)\( T^{22} + \)\(17\!\cdots\!32\)\( T^{24} - \)\(59\!\cdots\!60\)\( T^{26} + \)\(14\!\cdots\!88\)\( T^{28} - \)\(25\!\cdots\!52\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 5 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 2 T + 95 T^{2} + 166 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 200 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( ( 1 - 2 T + 83 T^{2} )^{2} \))(\( 1 + 16 T + 203 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 203 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 200 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 2 T + 83 T^{2} )^{2} \))(\( 1 - 5 T + 66 T^{2} - 415 T^{3} + 6889 T^{4} \))(\( 1 + 18 T + 239 T^{2} + 1494 T^{3} + 6889 T^{4} \))(\( 1 + 5 T + 240 T^{2} + 821 T^{3} + 19920 T^{4} + 34445 T^{5} + 571787 T^{6} \))(\( 1 + 2 T + 185 T^{2} + 460 T^{3} + 15355 T^{4} + 13778 T^{5} + 571787 T^{6} \))(\( 1 + 8 T + 173 T^{2} + 1312 T^{3} + 14359 T^{4} + 55112 T^{5} + 571787 T^{6} \))(\( 1 - 23 T + 297 T^{2} - 2730 T^{3} + 24651 T^{4} - 158447 T^{5} + 571787 T^{6} \))(\( 1 + 14 T + 219 T^{2} + 1692 T^{3} + 18177 T^{4} + 96446 T^{5} + 571787 T^{6} \))(\( 1 - 9 T + 192 T^{2} - 1465 T^{3} + 15936 T^{4} - 62001 T^{5} + 571787 T^{6} \))(\( 1 + 3 T + 213 T^{2} + 548 T^{3} + 17679 T^{4} + 20667 T^{5} + 571787 T^{6} \))(\( 1 - 8 T + 173 T^{2} - 1312 T^{3} + 14359 T^{4} - 55112 T^{5} + 571787 T^{6} \))(\( 1 + 31 T + 536 T^{2} + 5831 T^{3} + 44488 T^{4} + 213559 T^{5} + 571787 T^{6} \))(\( 1 + 14 T + 306 T^{2} + 3150 T^{3} + 36890 T^{4} + 261450 T^{5} + 2108034 T^{6} + 8005018 T^{7} + 47458321 T^{8} \))(\( 1 + 9 T + 223 T^{2} + 2340 T^{3} + 23724 T^{4} + 194220 T^{5} + 1536247 T^{6} + 5146083 T^{7} + 47458321 T^{8} \))(\( 1 - 25 T + 324 T^{2} - 3793 T^{3} + 40262 T^{4} - 314819 T^{5} + 2232036 T^{6} - 14294675 T^{7} + 47458321 T^{8} \))(\( 1 - 27 T + 361 T^{2} - 4092 T^{3} + 49780 T^{4} - 525762 T^{5} + 4131740 T^{6} - 28189788 T^{7} + 206415107 T^{8} - 1281374667 T^{9} + 3939040643 T^{10} \))(\( 1 + 7 T + 307 T^{2} + 1962 T^{3} + 41918 T^{4} + 229342 T^{5} + 3479194 T^{6} + 13516218 T^{7} + 175538609 T^{8} + 332208247 T^{9} + 3939040643 T^{10} \))(\( 1 + 20 T + 675 T^{2} + 10016 T^{3} + 191744 T^{4} + 2246040 T^{5} + 31065021 T^{6} + 294401724 T^{7} + 3191948238 T^{8} + 24435343092 T^{9} + 214006929669 T^{10} + 1284256473480 T^{11} + 9099848301824 T^{12} + 39453431080288 T^{13} + 220684752024075 T^{14} + 542721019792540 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 20 T + 675 T^{2} - 10016 T^{3} + 191744 T^{4} - 2246040 T^{5} + 31065021 T^{6} - 294401724 T^{7} + 3191948238 T^{8} - 24435343092 T^{9} + 214006929669 T^{10} - 1284256473480 T^{11} + 9099848301824 T^{12} - 39453431080288 T^{13} + 220684752024075 T^{14} - 542721019792540 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 116 T^{2} + 6889 T^{4} \))(\( 1 - 116 T^{2} + 6889 T^{4} \))(\( 1 - 68 T^{2} + 6889 T^{4} \))(\( 1 - 68 T^{2} + 6889 T^{4} \))(\( 1 - 68 T^{2} + 6889 T^{4} \))(\( 1 - 68 T^{2} + 6889 T^{4} \))(\( 1 - 116 T^{2} + 6889 T^{4} \))(\( 1 - 116 T^{2} + 6889 T^{4} \))(\( 1 - 472 T^{2} + 119705 T^{4} - 21970144 T^{6} + 3253765858 T^{8} - 410263950336 T^{10} + 45393778890011 T^{12} - 4461334566964584 T^{14} + 391452390769526978 T^{16} - 30734133831819019176 T^{18} + \)\(21\!\cdots\!31\)\( T^{20} - \)\(13\!\cdots\!84\)\( T^{22} + \)\(73\!\cdots\!78\)\( T^{24} - \)\(34\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!05\)\( T^{28} - \)\(34\!\cdots\!88\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 472 T^{2} + 119705 T^{4} - 21970144 T^{6} + 3253765858 T^{8} - 410263950336 T^{10} + 45393778890011 T^{12} - 4461334566964584 T^{14} + 391452390769526978 T^{16} - 30734133831819019176 T^{18} + \)\(21\!\cdots\!31\)\( T^{20} - \)\(13\!\cdots\!84\)\( T^{22} + \)\(73\!\cdots\!78\)\( T^{24} - \)\(34\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!05\)\( T^{28} - \)\(34\!\cdots\!88\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 3 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 13 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 14 T + 219 T^{2} - 1246 T^{3} + 7921 T^{4} \))(\( 1 + 106 T^{2} + 7921 T^{4} \))(\( 1 + 16 T + 210 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 239 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 239 T^{2} - 1424 T^{3} + 7921 T^{4} \))(\( 1 + 106 T^{2} + 7921 T^{4} \))(\( 1 - 12 T + 166 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 210 T^{2} - 1424 T^{3} + 7921 T^{4} \))(\( 1 - T + 140 T^{2} - 89 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 115 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - T + 182 T^{2} - 325 T^{3} + 16198 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 + 2 T + 23 T^{2} - 1220 T^{3} + 2047 T^{4} + 15842 T^{5} + 704969 T^{6} \))(\( 1 + 4 T + 171 T^{2} + 840 T^{3} + 15219 T^{4} + 31684 T^{5} + 704969 T^{6} \))(\( 1 - 11 T + 235 T^{2} - 1506 T^{3} + 20915 T^{4} - 87131 T^{5} + 704969 T^{6} \))(\( 1 + 34 T + 591 T^{2} + 6636 T^{3} + 52599 T^{4} + 269314 T^{5} + 704969 T^{6} \))(\( 1 - 21 T + 366 T^{2} - 3649 T^{3} + 32574 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 - 15 T + 327 T^{2} - 2714 T^{3} + 29103 T^{4} - 118815 T^{5} + 704969 T^{6} \))(\( 1 - 4 T + 171 T^{2} - 840 T^{3} + 15219 T^{4} - 31684 T^{5} + 704969 T^{6} \))(\( 1 + 11 T + 270 T^{2} + 1791 T^{3} + 24030 T^{4} + 87131 T^{5} + 704969 T^{6} \))(\( 1 + 4 T + 268 T^{2} + 1148 T^{3} + 32518 T^{4} + 102172 T^{5} + 2122828 T^{6} + 2819876 T^{7} + 62742241 T^{8} \))(\( 1 + 17 T + 437 T^{2} + 4606 T^{3} + 61882 T^{4} + 409934 T^{5} + 3461477 T^{6} + 11984473 T^{7} + 62742241 T^{8} \))(\( 1 - 9 T + 122 T^{2} - 783 T^{3} + 10410 T^{4} - 69687 T^{5} + 966362 T^{6} - 6344721 T^{7} + 62742241 T^{8} \))(\( 1 + 5 T + 245 T^{2} + 764 T^{3} + 35490 T^{4} + 107486 T^{5} + 3158610 T^{6} + 6051644 T^{7} + 172717405 T^{8} + 313711205 T^{9} + 5584059449 T^{10} \))(\( 1 - 11 T + 225 T^{2} - 2180 T^{3} + 30518 T^{4} - 254530 T^{5} + 2716102 T^{6} - 17267780 T^{7} + 158618025 T^{8} - 690164651 T^{9} + 5584059449 T^{10} \))(\( 1 - 24 T + 461 T^{2} - 6224 T^{3} + 86610 T^{4} - 1083776 T^{5} + 12678835 T^{6} - 130391000 T^{7} + 1262277178 T^{8} - 11604799000 T^{9} + 100429052035 T^{10} - 764028482944 T^{11} + 5434105493010 T^{12} - 34755186010576 T^{13} + 229108375133021 T^{14} - 1061552037492696 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 24 T + 461 T^{2} + 6224 T^{3} + 86610 T^{4} + 1083776 T^{5} + 12678835 T^{6} + 130391000 T^{7} + 1262277178 T^{8} + 11604799000 T^{9} + 100429052035 T^{10} + 764028482944 T^{11} + 5434105493010 T^{12} + 34755186010576 T^{13} + 229108375133021 T^{14} + 1061552037492696 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 128 T^{2} + 7921 T^{4} \))(\( 1 - 160 T^{2} + 7921 T^{4} \))(\( 1 + 64 T^{2} + 7921 T^{4} \))(\( 1 - 16 T^{2} + 7921 T^{4} \))(\( 1 - 16 T^{2} + 7921 T^{4} \))(\( 1 + 64 T^{2} + 7921 T^{4} \))(\( 1 - 160 T^{2} + 7921 T^{4} \))(\( 1 - 128 T^{2} + 7921 T^{4} \))(\( 1 - 496 T^{2} + 136613 T^{4} - 27528624 T^{6} + 4522731274 T^{8} - 631608552016 T^{10} + 76556075269003 T^{12} - 8155835267046416 T^{14} + 770110258891235850 T^{16} - 64602371150274661136 T^{18} + \)\(48\!\cdots\!23\)\( T^{20} - \)\(31\!\cdots\!76\)\( T^{22} + \)\(17\!\cdots\!94\)\( T^{24} - \)\(85\!\cdots\!24\)\( T^{26} + \)\(33\!\cdots\!73\)\( T^{28} - \)\(97\!\cdots\!36\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 496 T^{2} + 136613 T^{4} - 27528624 T^{6} + 4522731274 T^{8} - 631608552016 T^{10} + 76556075269003 T^{12} - 8155835267046416 T^{14} + 770110258891235850 T^{16} - 64602371150274661136 T^{18} + \)\(48\!\cdots\!23\)\( T^{20} - \)\(31\!\cdots\!76\)\( T^{22} + \)\(17\!\cdots\!94\)\( T^{24} - \)\(85\!\cdots\!24\)\( T^{26} + \)\(33\!\cdots\!73\)\( T^{28} - \)\(97\!\cdots\!36\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 - 7 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 19 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 + 3 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 18 T + 267 T^{2} + 1746 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 166 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 102 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 - 24 T + 335 T^{2} - 2328 T^{3} + 9409 T^{4} \))(\( 1 - 24 T + 335 T^{2} - 2328 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 166 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( ( 1 + 16 T + 97 T^{2} )^{2} \))(\( 1 - 12 T + 102 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 - 27 T + 372 T^{2} - 2619 T^{3} + 9409 T^{4} \))(\( 1 + 22 T + 307 T^{2} + 2134 T^{3} + 9409 T^{4} \))(\( 1 + 9 T + 286 T^{2} + 1645 T^{3} + 27742 T^{4} + 84681 T^{5} + 912673 T^{6} \))(\( 1 + 2 T - 45 T^{2} - 220 T^{3} - 4365 T^{4} + 18818 T^{5} + 912673 T^{6} \))(\( 1 - 30 T + 551 T^{2} - 6356 T^{3} + 53447 T^{4} - 282270 T^{5} + 912673 T^{6} \))(\( 1 + 5 T + 291 T^{2} + 962 T^{3} + 28227 T^{4} + 47045 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 191 T^{2} + 820 T^{3} + 18527 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 + 21 T + 414 T^{2} + 4233 T^{3} + 40158 T^{4} + 197589 T^{5} + 912673 T^{6} \))(\( 1 - 15 T + 267 T^{2} - 2698 T^{3} + 25899 T^{4} - 141135 T^{5} + 912673 T^{6} \))(\( 1 - 30 T + 551 T^{2} - 6356 T^{3} + 53447 T^{4} - 282270 T^{5} + 912673 T^{6} \))(\( 1 - 9 T + 86 T^{2} + 283 T^{3} + 8342 T^{4} - 84681 T^{5} + 912673 T^{6} \))(\( 1 + 8 T + 200 T^{2} + 2120 T^{3} + 21582 T^{4} + 205640 T^{5} + 1881800 T^{6} + 7301384 T^{7} + 88529281 T^{8} \))(\( 1 + 5 T + 277 T^{2} + 1126 T^{3} + 35698 T^{4} + 109222 T^{5} + 2606293 T^{6} + 4563365 T^{7} + 88529281 T^{8} \))(\( 1 + 3 T + 368 T^{2} + 841 T^{3} + 52686 T^{4} + 81577 T^{5} + 3462512 T^{6} + 2738019 T^{7} + 88529281 T^{8} \))(\( 1 + 3 T + 47 T^{2} + 132 T^{3} + 4888 T^{4} - 13662 T^{5} + 474136 T^{6} + 1241988 T^{7} + 42895631 T^{8} + 265587843 T^{9} + 8587340257 T^{10} \))(\( 1 + 15 T + 453 T^{2} + 5616 T^{3} + 85002 T^{4} + 807778 T^{5} + 8245194 T^{6} + 52840944 T^{7} + 413440869 T^{8} + 1327939215 T^{9} + 8587340257 T^{10} \))(\( 1 + 185 T^{2} + 1976 T^{3} + 10070 T^{4} + 339992 T^{5} + 2179191 T^{6} + 12583088 T^{7} + 401554034 T^{8} + 1220559536 T^{9} + 20504008119 T^{10} + 310301518616 T^{11} + 891489859670 T^{12} + 16968584347832 T^{13} + 154099820911865 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 185 T^{2} + 1976 T^{3} + 10070 T^{4} + 339992 T^{5} + 2179191 T^{6} + 12583088 T^{7} + 401554034 T^{8} + 1220559536 T^{9} + 20504008119 T^{10} + 310301518616 T^{11} + 891489859670 T^{12} + 16968584347832 T^{13} + 154099820911865 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 176 T^{2} + 9409 T^{4} \))(\( 1 - 96 T^{2} + 9409 T^{4} \))(\( ( 1 - 10 T + 97 T^{2} )( 1 + 10 T + 97 T^{2} ) \))(\( 1 - 144 T^{2} + 9409 T^{4} \))(\( 1 - 144 T^{2} + 9409 T^{4} \))(\( ( 1 - 10 T + 97 T^{2} )( 1 + 10 T + 97 T^{2} ) \))(\( 1 - 96 T^{2} + 9409 T^{4} \))(\( 1 - 176 T^{2} + 9409 T^{4} \))(\( 1 - 832 T^{2} + 338597 T^{4} - 90113976 T^{6} + 17744840082 T^{8} - 2779884709240 T^{10} + 364561254235739 T^{12} - 41610271866017936 T^{14} + 4246834307168352730 T^{16} - \)\(39\!\cdots\!24\)\( T^{18} + \)\(32\!\cdots\!59\)\( T^{20} - \)\(23\!\cdots\!60\)\( T^{22} + \)\(13\!\cdots\!02\)\( T^{24} - \)\(66\!\cdots\!24\)\( T^{26} + \)\(23\!\cdots\!77\)\( T^{28} - \)\(54\!\cdots\!08\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 832 T^{2} + 338597 T^{4} - 90113976 T^{6} + 17744840082 T^{8} - 2779884709240 T^{10} + 364561254235739 T^{12} - 41610271866017936 T^{14} + 4246834307168352730 T^{16} - \)\(39\!\cdots\!24\)\( T^{18} + \)\(32\!\cdots\!59\)\( T^{20} - \)\(23\!\cdots\!60\)\( T^{22} + \)\(13\!\cdots\!02\)\( T^{24} - \)\(66\!\cdots\!24\)\( T^{26} + \)\(23\!\cdots\!77\)\( T^{28} - \)\(54\!\cdots\!08\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))
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