Properties

Label 8670.2
Level 8670
Weight 2
Dimension 454616
Nonzero newspaces 36
Sturm bound 7990272

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Defining parameters

Level: \( N \) = \( 8670 = 2 \cdot 3 \cdot 5 \cdot 17^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 36 \)
Sturm bound: \(7990272\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8670))\).

Total New Old
Modular forms 2010368 454616 1555752
Cusp forms 1984769 454616 1530153
Eisenstein series 25599 0 25599

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8670))\)

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
8670.2.a \(\chi_{8670}(1, \cdot)\) 8670.2.a.a 1 1
8670.2.a.b 1
8670.2.a.c 1
8670.2.a.d 1
8670.2.a.e 1
8670.2.a.f 1
8670.2.a.g 1
8670.2.a.h 1
8670.2.a.i 1
8670.2.a.j 1
8670.2.a.k 1
8670.2.a.l 1
8670.2.a.m 1
8670.2.a.n 1
8670.2.a.o 1
8670.2.a.p 1
8670.2.a.q 1
8670.2.a.r 1
8670.2.a.s 1
8670.2.a.t 1
8670.2.a.u 1
8670.2.a.v 1
8670.2.a.w 1
8670.2.a.x 1
8670.2.a.y 1
8670.2.a.z 1
8670.2.a.ba 1
8670.2.a.bb 1
8670.2.a.bc 2
8670.2.a.bd 2
8670.2.a.be 2
8670.2.a.bf 2
8670.2.a.bg 2
8670.2.a.bh 2
8670.2.a.bi 2
8670.2.a.bj 2
8670.2.a.bk 2
8670.2.a.bl 3
8670.2.a.bm 3
8670.2.a.bn 3
8670.2.a.bo 3
8670.2.a.bp 3
8670.2.a.bq 3
8670.2.a.br 3
8670.2.a.bs 3
8670.2.a.bt 4
8670.2.a.bu 4
8670.2.a.bv 4
8670.2.a.bw 4
8670.2.a.bx 4
8670.2.a.by 4
8670.2.a.bz 4
8670.2.a.ca 4
8670.2.a.cb 6
8670.2.a.cc 6
8670.2.a.cd 6
8670.2.a.ce 6
8670.2.a.cf 6
8670.2.a.cg 6
8670.2.a.ch 6
8670.2.a.ci 6
8670.2.a.cj 8
8670.2.a.ck 8
8670.2.a.cl 8
8670.2.a.cm 8
8670.2.c \(\chi_{8670}(2311, \cdot)\) n/a 180 1
8670.2.d \(\chi_{8670}(3469, \cdot)\) n/a 270 1
8670.2.f \(\chi_{8670}(5779, \cdot)\) n/a 268 1
8670.2.i \(\chi_{8670}(5453, \cdot)\) n/a 1080 2
8670.2.l \(\chi_{8670}(1157, \cdot)\) n/a 1084 2
8670.2.m \(\chi_{8670}(829, \cdot)\) n/a 536 2
8670.2.p \(\chi_{8670}(4951, \cdot)\) n/a 360 2
8670.2.q \(\chi_{8670}(1733, \cdot)\) n/a 1080 2
8670.2.t \(\chi_{8670}(4373, \cdot)\) n/a 1080 2
8670.2.u \(\chi_{8670}(2491, \cdot)\) n/a 720 4
8670.2.w \(\chi_{8670}(1913, \cdot)\) n/a 2160 4
8670.2.z \(\chi_{8670}(977, \cdot)\) n/a 2160 4
8670.2.bb \(\chi_{8670}(1579, \cdot)\) n/a 1088 4
8670.2.bd \(\chi_{8670}(643, \cdot)\) n/a 2160 8
8670.2.bf \(\chi_{8670}(131, \cdot)\) n/a 2880 8
8670.2.bh \(\chi_{8670}(329, \cdot)\) n/a 4320 8
8670.2.bi \(\chi_{8670}(2377, \cdot)\) n/a 2160 8
8670.2.bk \(\chi_{8670}(511, \cdot)\) n/a 3264 16
8670.2.bn \(\chi_{8670}(169, \cdot)\) n/a 4928 16
8670.2.bp \(\chi_{8670}(409, \cdot)\) n/a 4928 16
8670.2.bq \(\chi_{8670}(271, \cdot)\) n/a 3264 16
8670.2.bs \(\chi_{8670}(47, \cdot)\) n/a 19584 32
8670.2.bv \(\chi_{8670}(203, \cdot)\) n/a 19584 32
8670.2.bw \(\chi_{8670}(361, \cdot)\) n/a 6528 32
8670.2.bz \(\chi_{8670}(259, \cdot)\) n/a 9856 32
8670.2.ca \(\chi_{8670}(137, \cdot)\) n/a 19584 32
8670.2.cd \(\chi_{8670}(353, \cdot)\) n/a 19584 32
8670.2.ce \(\chi_{8670}(19, \cdot)\) n/a 19456 64
8670.2.cg \(\chi_{8670}(53, \cdot)\) n/a 39168 64
8670.2.cj \(\chi_{8670}(257, \cdot)\) n/a 39168 64
8670.2.cl \(\chi_{8670}(121, \cdot)\) n/a 13056 64
8670.2.cn \(\chi_{8670}(37, \cdot)\) n/a 39168 128
8670.2.co \(\chi_{8670}(29, \cdot)\) n/a 78336 128
8670.2.cq \(\chi_{8670}(11, \cdot)\) n/a 52224 128
8670.2.cs \(\chi_{8670}(7, \cdot)\) n/a 39168 128

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(8670))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(8670)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(34))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(51))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(85))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(102))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(170))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(255))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(289))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(510))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(578))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(867))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1445))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1734))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2890))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4335))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))
$5$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))
$7$ (\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 4 T + 10 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 28 T^{3} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 4 T + 10 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 28 T^{3} + 49 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 18 T^{2} + T^{3} + 126 T^{4} + 343 T^{6} \))(\( 1 + 18 T^{2} - T^{3} + 126 T^{4} + 343 T^{6} \))(\( 1 + 18 T^{2} + T^{3} + 126 T^{4} + 343 T^{6} \))(\( 1 + 18 T^{2} - T^{3} + 126 T^{4} + 343 T^{6} \))(\( 1 - 6 T + 30 T^{2} - 85 T^{3} + 210 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 30 T^{2} - 87 T^{3} + 210 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 6 T + 30 T^{2} + 87 T^{3} + 210 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 + 6 T + 30 T^{2} + 85 T^{3} + 210 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 + 20 T^{2} + 190 T^{4} + 980 T^{6} + 2401 T^{8} \))(\( 1 + 20 T^{2} + 190 T^{4} + 980 T^{6} + 2401 T^{8} \))(\( 1 + 20 T^{2} + 190 T^{4} + 980 T^{6} + 2401 T^{8} \))(\( 1 + 20 T^{2} + 190 T^{4} + 980 T^{6} + 2401 T^{8} \))(\( 1 + 4 T + 24 T^{2} + 68 T^{3} + 246 T^{4} + 476 T^{5} + 1176 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 168 T^{3} + 510 T^{4} - 1176 T^{5} + 2156 T^{6} - 2744 T^{7} + 2401 T^{8} \))(\( 1 + 8 T + 44 T^{2} + 168 T^{3} + 510 T^{4} + 1176 T^{5} + 2156 T^{6} + 2744 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 24 T^{2} - 68 T^{3} + 246 T^{4} - 476 T^{5} + 1176 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 + 18 T^{2} + 252 T^{4} + 1963 T^{6} + 12348 T^{8} + 43218 T^{10} + 117649 T^{12} \))(\( 1 + 18 T^{2} + 216 T^{4} + 1835 T^{6} + 10584 T^{8} + 43218 T^{10} + 117649 T^{12} \))(\( 1 + 18 T^{2} + 216 T^{4} + 1835 T^{6} + 10584 T^{8} + 43218 T^{10} + 117649 T^{12} \))(\( 1 + 18 T^{2} + 252 T^{4} + 1963 T^{6} + 12348 T^{8} + 43218 T^{10} + 117649 T^{12} \))(\( 1 + 6 T + 30 T^{2} + 122 T^{3} + 486 T^{4} + 1458 T^{5} + 4101 T^{6} + 10206 T^{7} + 23814 T^{8} + 41846 T^{9} + 72030 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 + 6 T + 30 T^{2} + 122 T^{3} + 438 T^{4} + 1362 T^{5} + 3929 T^{6} + 9534 T^{7} + 21462 T^{8} + 41846 T^{9} + 72030 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 - 6 T + 30 T^{2} - 122 T^{3} + 438 T^{4} - 1362 T^{5} + 3929 T^{6} - 9534 T^{7} + 21462 T^{8} - 41846 T^{9} + 72030 T^{10} - 100842 T^{11} + 117649 T^{12} \))(\( 1 - 6 T + 30 T^{2} - 122 T^{3} + 486 T^{4} - 1458 T^{5} + 4101 T^{6} - 10206 T^{7} + 23814 T^{8} - 41846 T^{9} + 72030 T^{10} - 100842 T^{11} + 117649 T^{12} \))(\( 1 + 8 T + 40 T^{2} + 152 T^{3} + 516 T^{4} + 1624 T^{5} + 4952 T^{6} + 14152 T^{7} + 38870 T^{8} + 99064 T^{9} + 242648 T^{10} + 557032 T^{11} + 1238916 T^{12} + 2554664 T^{13} + 4705960 T^{14} + 6588344 T^{15} + 5764801 T^{16} \))(\( 1 - 8 T + 40 T^{2} - 152 T^{3} + 516 T^{4} - 1624 T^{5} + 4952 T^{6} - 14152 T^{7} + 38870 T^{8} - 99064 T^{9} + 242648 T^{10} - 557032 T^{11} + 1238916 T^{12} - 2554664 T^{13} + 4705960 T^{14} - 6588344 T^{15} + 5764801 T^{16} \))(\( 1 + 16 T^{2} - 16 T^{3} + 164 T^{4} - 176 T^{5} + 1520 T^{6} - 2208 T^{7} + 10390 T^{8} - 15456 T^{9} + 74480 T^{10} - 60368 T^{11} + 393764 T^{12} - 268912 T^{13} + 1882384 T^{14} + 5764801 T^{16} \))(\( 1 + 16 T^{2} + 16 T^{3} + 164 T^{4} + 176 T^{5} + 1520 T^{6} + 2208 T^{7} + 10390 T^{8} + 15456 T^{9} + 74480 T^{10} + 60368 T^{11} + 393764 T^{12} + 268912 T^{13} + 1882384 T^{14} + 5764801 T^{16} \))
$11$ (\( 1 + T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 + 12 T^{2} - 17 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 + 24 T^{2} + 9 T^{3} + 264 T^{4} + 1331 T^{6} \))(\( 1 + 24 T^{2} - 9 T^{3} + 264 T^{4} + 1331 T^{6} \))(\( 1 + 12 T^{2} + 17 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 - 12 T + 78 T^{2} - 315 T^{3} + 858 T^{4} - 1452 T^{5} + 1331 T^{6} \))(\( 1 + 30 T^{2} - T^{3} + 330 T^{4} + 1331 T^{6} \))(\( 1 + 30 T^{2} + T^{3} + 330 T^{4} + 1331 T^{6} \))(\( 1 + 12 T + 78 T^{2} + 315 T^{3} + 858 T^{4} + 1452 T^{5} + 1331 T^{6} \))(\( 1 + 8 T + 52 T^{2} + 232 T^{3} + 886 T^{4} + 2552 T^{5} + 6292 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( ( 1 + 20 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 8 T + 52 T^{2} - 232 T^{3} + 886 T^{4} - 2552 T^{5} + 6292 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 + 12 T^{2} - 64 T^{3} + 38 T^{4} - 704 T^{5} + 1452 T^{6} + 14641 T^{8} \))(\( 1 + 24 T^{2} + 32 T^{3} + 290 T^{4} + 352 T^{5} + 2904 T^{6} + 14641 T^{8} \))(\( 1 + 24 T^{2} - 32 T^{3} + 290 T^{4} - 352 T^{5} + 2904 T^{6} + 14641 T^{8} \))(\( 1 + 12 T^{2} + 64 T^{3} + 38 T^{4} + 704 T^{5} + 1452 T^{6} + 14641 T^{8} \))(\( 1 + 6 T + 30 T^{2} + 52 T^{3} + 186 T^{4} + 264 T^{5} + 2401 T^{6} + 2904 T^{7} + 22506 T^{8} + 69212 T^{9} + 439230 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 30 T^{2} - 72 T^{3} + 78 T^{4} + 660 T^{5} - 3035 T^{6} + 7260 T^{7} + 9438 T^{8} - 95832 T^{9} + 439230 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T + 30 T^{2} + 72 T^{3} + 78 T^{4} - 660 T^{5} - 3035 T^{6} - 7260 T^{7} + 9438 T^{8} + 95832 T^{9} + 439230 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 30 T^{2} - 52 T^{3} + 186 T^{4} - 264 T^{5} + 2401 T^{6} - 2904 T^{7} + 22506 T^{8} - 69212 T^{9} + 439230 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T + 60 T^{2} + 256 T^{3} + 1464 T^{4} + 4854 T^{5} + 20401 T^{6} + 53394 T^{7} + 177144 T^{8} + 340736 T^{9} + 878460 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 160 T^{3} + 852 T^{4} + 2262 T^{5} + 10753 T^{6} + 24882 T^{7} + 103092 T^{8} + 212960 T^{9} + 702768 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 48 T^{2} - 160 T^{3} + 852 T^{4} - 2262 T^{5} + 10753 T^{6} - 24882 T^{7} + 103092 T^{8} - 212960 T^{9} + 702768 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 60 T^{2} - 256 T^{3} + 1464 T^{4} - 4854 T^{5} + 20401 T^{6} - 53394 T^{7} + 177144 T^{8} - 340736 T^{9} + 878460 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 8 T + 72 T^{2} - 344 T^{3} + 1908 T^{4} - 7128 T^{5} + 32536 T^{6} - 106056 T^{7} + 416710 T^{8} - 1166616 T^{9} + 3936856 T^{10} - 9487368 T^{11} + 27935028 T^{12} - 55401544 T^{13} + 127552392 T^{14} - 155897368 T^{15} + 214358881 T^{16} \))(\( 1 + 8 T + 72 T^{2} + 344 T^{3} + 1908 T^{4} + 7128 T^{5} + 32536 T^{6} + 106056 T^{7} + 416710 T^{8} + 1166616 T^{9} + 3936856 T^{10} + 9487368 T^{11} + 27935028 T^{12} + 55401544 T^{13} + 127552392 T^{14} + 155897368 T^{15} + 214358881 T^{16} \))(\( 1 - 8 T + 56 T^{2} - 216 T^{3} + 916 T^{4} - 2904 T^{5} + 13800 T^{6} - 49736 T^{7} + 203270 T^{8} - 547096 T^{9} + 1669800 T^{10} - 3865224 T^{11} + 13411156 T^{12} - 34787016 T^{13} + 99207416 T^{14} - 155897368 T^{15} + 214358881 T^{16} \))(\( 1 + 8 T + 56 T^{2} + 216 T^{3} + 916 T^{4} + 2904 T^{5} + 13800 T^{6} + 49736 T^{7} + 203270 T^{8} + 547096 T^{9} + 1669800 T^{10} + 3865224 T^{11} + 13411156 T^{12} + 34787016 T^{13} + 99207416 T^{14} + 155897368 T^{15} + 214358881 T^{16} \))
$13$ (\( 1 - 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 4 T + 28 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 28 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 22 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 40 T^{2} + 104 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 40 T^{2} + 104 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 22 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 + 12 T + 84 T^{2} + 365 T^{3} + 1092 T^{4} + 2028 T^{5} + 2197 T^{6} \))(\( 1 + 36 T^{2} + T^{3} + 468 T^{4} + 2197 T^{6} \))(\( 1 + 36 T^{2} + T^{3} + 468 T^{4} + 2197 T^{6} \))(\( 1 + 12 T + 84 T^{2} + 365 T^{3} + 1092 T^{4} + 2028 T^{5} + 2197 T^{6} \))(\( 1 + 18 T^{2} + 37 T^{3} + 234 T^{4} + 2197 T^{6} \))(\( 1 + 18 T^{2} + 17 T^{3} + 234 T^{4} + 2197 T^{6} \))(\( 1 + 18 T^{2} + 17 T^{3} + 234 T^{4} + 2197 T^{6} \))(\( 1 + 18 T^{2} + 37 T^{3} + 234 T^{4} + 2197 T^{6} \))(\( 1 + 8 T^{2} - 16 T^{3} + 186 T^{4} - 208 T^{5} + 1352 T^{6} + 28561 T^{8} \))(\( 1 + 8 T + 72 T^{2} + 328 T^{3} + 1536 T^{4} + 4264 T^{5} + 12168 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 + 8 T + 72 T^{2} + 328 T^{3} + 1536 T^{4} + 4264 T^{5} + 12168 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 + 8 T^{2} - 16 T^{3} + 186 T^{4} - 208 T^{5} + 1352 T^{6} + 28561 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 132 T^{3} + 810 T^{4} - 1716 T^{5} + 7436 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 16 T + 144 T^{2} + 848 T^{3} + 3600 T^{4} + 11024 T^{5} + 24336 T^{6} + 35152 T^{7} + 28561 T^{8} \))(\( 1 + 16 T + 144 T^{2} + 848 T^{3} + 3600 T^{4} + 11024 T^{5} + 24336 T^{6} + 35152 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 132 T^{3} + 810 T^{4} - 1716 T^{5} + 7436 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 30 T^{2} - 32 T^{3} + 258 T^{4} - 1272 T^{5} + 9275 T^{6} - 16536 T^{7} + 43602 T^{8} - 70304 T^{9} + 856830 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 54 T^{2} - 268 T^{3} + 1434 T^{4} - 5424 T^{5} + 23427 T^{6} - 70512 T^{7} + 242346 T^{8} - 588796 T^{9} + 1542294 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 54 T^{2} - 268 T^{3} + 1434 T^{4} - 5424 T^{5} + 23427 T^{6} - 70512 T^{7} + 242346 T^{8} - 588796 T^{9} + 1542294 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 30 T^{2} - 32 T^{3} + 258 T^{4} - 1272 T^{5} + 9275 T^{6} - 16536 T^{7} + 43602 T^{8} - 70304 T^{9} + 856830 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 48 T^{2} - 230 T^{3} + 1224 T^{4} - 4734 T^{5} + 19797 T^{6} - 61542 T^{7} + 206856 T^{8} - 505310 T^{9} + 1370928 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 230 T^{3} + 1116 T^{4} + 4518 T^{5} + 16557 T^{6} + 58734 T^{7} + 188604 T^{8} + 505310 T^{9} + 1370928 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 230 T^{3} + 1116 T^{4} + 4518 T^{5} + 16557 T^{6} + 58734 T^{7} + 188604 T^{8} + 505310 T^{9} + 1370928 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 48 T^{2} - 230 T^{3} + 1224 T^{4} - 4734 T^{5} + 19797 T^{6} - 61542 T^{7} + 206856 T^{8} - 505310 T^{9} + 1370928 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 48 T^{2} + 16 T^{3} + 1168 T^{4} + 1104 T^{5} + 19952 T^{6} + 27776 T^{7} + 277826 T^{8} + 361088 T^{9} + 3371888 T^{10} + 2425488 T^{11} + 33359248 T^{12} + 5940688 T^{13} + 231686832 T^{14} + 815730721 T^{16} \))(\( 1 + 48 T^{2} + 16 T^{3} + 1168 T^{4} + 1104 T^{5} + 19952 T^{6} + 27776 T^{7} + 277826 T^{8} + 361088 T^{9} + 3371888 T^{10} + 2425488 T^{11} + 33359248 T^{12} + 5940688 T^{13} + 231686832 T^{14} + 815730721 T^{16} \))(\( 1 - 8 T + 72 T^{2} - 344 T^{3} + 2048 T^{4} - 8056 T^{5} + 40456 T^{6} - 138472 T^{7} + 600450 T^{8} - 1800136 T^{9} + 6837064 T^{10} - 17699032 T^{11} + 58492928 T^{12} - 127724792 T^{13} + 347530248 T^{14} - 501988136 T^{15} + 815730721 T^{16} \))(\( 1 - 8 T + 72 T^{2} - 344 T^{3} + 2048 T^{4} - 8056 T^{5} + 40456 T^{6} - 138472 T^{7} + 600450 T^{8} - 1800136 T^{9} + 6837064 T^{10} - 17699032 T^{11} + 58492928 T^{12} - 127724792 T^{13} + 347530248 T^{14} - 501988136 T^{15} + 815730721 T^{16} \))
$17$ 1
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 8 T + 46 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 46 T^{2} + 152 T^{3} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 - 3 T + 48 T^{2} - 95 T^{3} + 912 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + 9 T + 72 T^{2} + 325 T^{3} + 1368 T^{4} + 3249 T^{5} + 6859 T^{6} \))(\( 1 + 9 T + 72 T^{2} + 325 T^{3} + 1368 T^{4} + 3249 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 48 T^{2} - 95 T^{3} + 912 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 12 T^{2} - 131 T^{3} + 228 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( ( 1 - T + 19 T^{2} )^{3} \))(\( ( 1 - T + 19 T^{2} )^{3} \))(\( 1 - 3 T + 12 T^{2} - 131 T^{3} + 228 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + 28 T^{2} - 128 T^{3} + 278 T^{4} - 2432 T^{5} + 10108 T^{6} + 130321 T^{8} \))(\( ( 1 + 30 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 30 T^{2} + 361 T^{4} )^{2} \))(\( 1 + 28 T^{2} - 128 T^{3} + 278 T^{4} - 2432 T^{5} + 10108 T^{6} + 130321 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 136 T^{3} + 502 T^{4} - 2584 T^{5} + 15884 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( ( 1 + 4 T + 19 T^{2} )^{4} \))(\( ( 1 + 4 T + 19 T^{2} )^{4} \))(\( 1 - 8 T + 44 T^{2} - 136 T^{3} + 502 T^{4} - 2584 T^{5} + 15884 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 + 6 T + 69 T^{2} + 462 T^{3} + 2766 T^{4} + 14646 T^{5} + 69025 T^{6} + 278274 T^{7} + 998526 T^{8} + 3168858 T^{9} + 8992149 T^{10} + 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 21 T^{2} - 158 T^{3} + 846 T^{4} - 3366 T^{5} + 13857 T^{6} - 63954 T^{7} + 305406 T^{8} - 1083722 T^{9} + 2736741 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 21 T^{2} - 158 T^{3} + 846 T^{4} - 3366 T^{5} + 13857 T^{6} - 63954 T^{7} + 305406 T^{8} - 1083722 T^{9} + 2736741 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 + 6 T + 69 T^{2} + 462 T^{3} + 2766 T^{4} + 14646 T^{5} + 69025 T^{6} + 278274 T^{7} + 998526 T^{8} + 3168858 T^{9} + 8992149 T^{10} + 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 105 T^{2} - 498 T^{3} + 4674 T^{4} - 17598 T^{5} + 115537 T^{6} - 334362 T^{7} + 1687314 T^{8} - 3415782 T^{9} + 13683705 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 69 T^{2} - 226 T^{3} + 1818 T^{4} - 4014 T^{5} + 35253 T^{6} - 76266 T^{7} + 656298 T^{8} - 1550134 T^{9} + 8992149 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 69 T^{2} - 226 T^{3} + 1818 T^{4} - 4014 T^{5} + 35253 T^{6} - 76266 T^{7} + 656298 T^{8} - 1550134 T^{9} + 8992149 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 - 6 T + 105 T^{2} - 498 T^{3} + 4674 T^{4} - 17598 T^{5} + 115537 T^{6} - 334362 T^{7} + 1687314 T^{8} - 3415782 T^{9} + 13683705 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( 1 + 24 T^{2} + 128 T^{3} + 668 T^{4} + 1920 T^{5} + 22376 T^{6} + 61696 T^{7} + 338790 T^{8} + 1172224 T^{9} + 8077736 T^{10} + 13169280 T^{11} + 87054428 T^{12} + 316940672 T^{13} + 1129101144 T^{14} + 16983563041 T^{16} \))(\( 1 + 24 T^{2} + 128 T^{3} + 668 T^{4} + 1920 T^{5} + 22376 T^{6} + 61696 T^{7} + 338790 T^{8} + 1172224 T^{9} + 8077736 T^{10} + 13169280 T^{11} + 87054428 T^{12} + 316940672 T^{13} + 1129101144 T^{14} + 16983563041 T^{16} \))(\( 1 - 16 T + 200 T^{2} - 1744 T^{3} + 13372 T^{4} - 84560 T^{5} + 487736 T^{6} - 2443280 T^{7} + 11346470 T^{8} - 46422320 T^{9} + 176072696 T^{10} - 579997040 T^{11} + 1742652412 T^{12} - 4318316656 T^{13} + 9409176200 T^{14} - 14301947824 T^{15} + 16983563041 T^{16} \))(\( 1 - 16 T + 200 T^{2} - 1744 T^{3} + 13372 T^{4} - 84560 T^{5} + 487736 T^{6} - 2443280 T^{7} + 11346470 T^{8} - 46422320 T^{9} + 176072696 T^{10} - 579997040 T^{11} + 1742652412 T^{12} - 4318316656 T^{13} + 9409176200 T^{14} - 14301947824 T^{15} + 16983563041 T^{16} \))
$23$ (\( 1 + 7 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 32 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 6 T + 23 T^{2} )^{2} \))(\( 1 + 4 T + 32 T^{2} + 92 T^{3} + 529 T^{4} \))(\( ( 1 - 2 T + 23 T^{2} )^{2} \))(\( 1 + 4 T + 32 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 32 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( 1 + 48 T^{2} + 37 T^{3} + 1104 T^{4} + 12167 T^{6} \))(\( 1 + 60 T^{2} - 9 T^{3} + 1380 T^{4} + 12167 T^{6} \))(\( 1 + 60 T^{2} + 9 T^{3} + 1380 T^{4} + 12167 T^{6} \))(\( 1 + 48 T^{2} - 37 T^{3} + 1104 T^{4} + 12167 T^{6} \))(\( 1 - 6 T + 60 T^{2} - 225 T^{3} + 1380 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 - 18 T + 168 T^{2} - 999 T^{3} + 3864 T^{4} - 9522 T^{5} + 12167 T^{6} \))(\( 1 + 18 T + 168 T^{2} + 999 T^{3} + 3864 T^{4} + 9522 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 60 T^{2} + 225 T^{3} + 1380 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 - 8 T + 48 T^{2} - 184 T^{3} + 1026 T^{4} - 4232 T^{5} + 25392 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + 96 T^{2} + 520 T^{3} + 3360 T^{4} + 11960 T^{5} + 50784 T^{6} + 97336 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 96 T^{2} - 520 T^{3} + 3360 T^{4} - 11960 T^{5} + 50784 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + 48 T^{2} + 184 T^{3} + 1026 T^{4} + 4232 T^{5} + 25392 T^{6} + 97336 T^{7} + 279841 T^{8} \))(\( ( 1 + 4 T + 48 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( 1 - 8 T + 48 T^{2} - 40 T^{3} + 96 T^{4} - 920 T^{5} + 25392 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + 48 T^{2} + 40 T^{3} + 96 T^{4} + 920 T^{5} + 25392 T^{6} + 97336 T^{7} + 279841 T^{8} \))(\( ( 1 - 4 T + 48 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( 1 + 108 T^{2} + 10 T^{3} + 5382 T^{4} + 546 T^{5} + 157489 T^{6} + 12558 T^{7} + 2847078 T^{8} + 121670 T^{9} + 30222828 T^{10} + 148035889 T^{12} \))(\( 1 + 12 T + 120 T^{2} + 734 T^{3} + 4482 T^{4} + 20958 T^{5} + 111485 T^{6} + 482034 T^{7} + 2370978 T^{8} + 8930578 T^{9} + 33580920 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 12 T + 120 T^{2} - 734 T^{3} + 4482 T^{4} - 20958 T^{5} + 111485 T^{6} - 482034 T^{7} + 2370978 T^{8} - 8930578 T^{9} + 33580920 T^{10} - 77236116 T^{11} + 148035889 T^{12} \))(\( 1 + 108 T^{2} - 10 T^{3} + 5382 T^{4} - 546 T^{5} + 157489 T^{6} - 12558 T^{7} + 2847078 T^{8} - 121670 T^{9} + 30222828 T^{10} + 148035889 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 168 T^{3} + 1560 T^{4} + 5124 T^{5} + 37047 T^{6} + 117852 T^{7} + 825240 T^{8} + 2044056 T^{9} + 13432368 T^{10} + 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 6 T + 84 T^{2} + 340 T^{3} + 2364 T^{4} + 7284 T^{5} + 44215 T^{6} + 167532 T^{7} + 1250556 T^{8} + 4136780 T^{9} + 23506644 T^{10} + 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 6 T + 84 T^{2} - 340 T^{3} + 2364 T^{4} - 7284 T^{5} + 44215 T^{6} - 167532 T^{7} + 1250556 T^{8} - 4136780 T^{9} + 23506644 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 6 T + 48 T^{2} - 168 T^{3} + 1560 T^{4} - 5124 T^{5} + 37047 T^{6} - 117852 T^{7} + 825240 T^{8} - 2044056 T^{9} + 13432368 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 48 T^{2} + 240 T^{3} + 1728 T^{4} + 7824 T^{5} + 70064 T^{6} + 237824 T^{7} + 1609282 T^{8} + 5469952 T^{9} + 37063856 T^{10} + 95194608 T^{11} + 483565248 T^{12} + 1544722320 T^{13} + 7105722672 T^{14} + 78310985281 T^{16} \))(\( 1 + 48 T^{2} - 240 T^{3} + 1728 T^{4} - 7824 T^{5} + 70064 T^{6} - 237824 T^{7} + 1609282 T^{8} - 5469952 T^{9} + 37063856 T^{10} - 95194608 T^{11} + 483565248 T^{12} - 1544722320 T^{13} + 7105722672 T^{14} + 78310985281 T^{16} \))(\( 1 + 64 T^{2} - 208 T^{3} + 2176 T^{4} - 13232 T^{5} + 66752 T^{6} - 429056 T^{7} + 1736770 T^{8} - 9868288 T^{9} + 35311808 T^{10} - 160993744 T^{11} + 608934016 T^{12} - 1338759344 T^{13} + 9474296896 T^{14} + 78310985281 T^{16} \))(\( 1 + 64 T^{2} + 208 T^{3} + 2176 T^{4} + 13232 T^{5} + 66752 T^{6} + 429056 T^{7} + 1736770 T^{8} + 9868288 T^{9} + 35311808 T^{10} + 160993744 T^{11} + 608934016 T^{12} + 1338759344 T^{13} + 9474296896 T^{14} + 78310985281 T^{16} \))
$29$ (\( 1 + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 66 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 116 T^{3} + 841 T^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( 1 - 4 T + 30 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( 1 + 75 T^{2} - 8 T^{3} + 2175 T^{4} + 24389 T^{6} \))(\( 1 + 51 T^{2} + 72 T^{3} + 1479 T^{4} + 24389 T^{6} \))(\( 1 + 51 T^{2} - 72 T^{3} + 1479 T^{4} + 24389 T^{6} \))(\( 1 + 75 T^{2} + 8 T^{3} + 2175 T^{4} + 24389 T^{6} \))(\( 1 - 6 T + 87 T^{2} - 324 T^{3} + 2523 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 - 6 T + 87 T^{2} - 340 T^{3} + 2523 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 + 6 T + 87 T^{2} + 340 T^{3} + 2523 T^{4} + 5046 T^{5} + 24389 T^{6} \))(\( 1 + 6 T + 87 T^{2} + 324 T^{3} + 2523 T^{4} + 5046 T^{5} + 24389 T^{6} \))(\( 1 + 36 T^{2} - 128 T^{3} + 950 T^{4} - 3712 T^{5} + 30276 T^{6} + 707281 T^{8} \))(\( 1 + 8 T + 104 T^{2} + 648 T^{3} + 4418 T^{4} + 18792 T^{5} + 87464 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 104 T^{2} - 648 T^{3} + 4418 T^{4} - 18792 T^{5} + 87464 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 + 36 T^{2} + 128 T^{3} + 950 T^{4} + 3712 T^{5} + 30276 T^{6} + 707281 T^{8} \))(\( 1 - 8 T + 108 T^{2} - 664 T^{3} + 4614 T^{4} - 19256 T^{5} + 90828 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 56 T^{2} - 168 T^{3} + 674 T^{4} - 4872 T^{5} + 47096 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 56 T^{2} + 168 T^{3} + 674 T^{4} + 4872 T^{5} + 47096 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 108 T^{2} + 664 T^{3} + 4614 T^{4} + 19256 T^{5} + 90828 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 84 T^{2} + 126 T^{3} + 1959 T^{4} - 5628 T^{5} + 36448 T^{6} - 163212 T^{7} + 1647519 T^{8} + 3073014 T^{9} + 59411604 T^{10} + 123066894 T^{11} + 594823321 T^{12} \))(\( 1 + 6 T + 84 T^{2} + 270 T^{3} + 3615 T^{4} + 12084 T^{5} + 136528 T^{6} + 350436 T^{7} + 3040215 T^{8} + 6585030 T^{9} + 59411604 T^{10} + 123066894 T^{11} + 594823321 T^{12} \))(\( 1 - 6 T + 84 T^{2} - 270 T^{3} + 3615 T^{4} - 12084 T^{5} + 136528 T^{6} - 350436 T^{7} + 3040215 T^{8} - 6585030 T^{9} + 59411604 T^{10} - 123066894 T^{11} + 594823321 T^{12} \))(\( 1 - 6 T + 84 T^{2} - 126 T^{3} + 1959 T^{4} + 5628 T^{5} + 36448 T^{6} + 163212 T^{7} + 1647519 T^{8} - 3073014 T^{9} + 59411604 T^{10} - 123066894 T^{11} + 594823321 T^{12} \))(\( 1 + 12 T + 156 T^{2} + 1400 T^{3} + 11079 T^{4} + 73068 T^{5} + 425792 T^{6} + 2118972 T^{7} + 9317439 T^{8} + 34144600 T^{9} + 110335836 T^{10} + 246133788 T^{11} + 594823321 T^{12} \))(\( 1 + 12 T + 84 T^{2} + 488 T^{3} + 3183 T^{4} + 20220 T^{5} + 116800 T^{6} + 586380 T^{7} + 2676903 T^{8} + 11901832 T^{9} + 59411604 T^{10} + 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 12 T + 84 T^{2} - 488 T^{3} + 3183 T^{4} - 20220 T^{5} + 116800 T^{6} - 586380 T^{7} + 2676903 T^{8} - 11901832 T^{9} + 59411604 T^{10} - 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 12 T + 156 T^{2} - 1400 T^{3} + 11079 T^{4} - 73068 T^{5} + 425792 T^{6} - 2118972 T^{7} + 9317439 T^{8} - 34144600 T^{9} + 110335836 T^{10} - 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 8 T + 104 T^{2} - 776 T^{3} + 6932 T^{4} - 45560 T^{5} + 296824 T^{6} - 1795384 T^{7} + 10063430 T^{8} - 52066136 T^{9} + 249628984 T^{10} - 1111162840 T^{11} + 4902871892 T^{12} - 15916651624 T^{13} + 61861625384 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 + 8 T + 104 T^{2} + 776 T^{3} + 6932 T^{4} + 45560 T^{5} + 296824 T^{6} + 1795384 T^{7} + 10063430 T^{8} + 52066136 T^{9} + 249628984 T^{10} + 1111162840 T^{11} + 4902871892 T^{12} + 15916651624 T^{13} + 61861625384 T^{14} + 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 + 8 T + 184 T^{2} + 1160 T^{3} + 15156 T^{4} + 78840 T^{5} + 760424 T^{6} + 3337912 T^{7} + 26165382 T^{8} + 96799448 T^{9} + 639516584 T^{10} + 1922828760 T^{11} + 10719550836 T^{12} + 23792932840 T^{13} + 109447491064 T^{14} + 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 - 8 T + 184 T^{2} - 1160 T^{3} + 15156 T^{4} - 78840 T^{5} + 760424 T^{6} - 3337912 T^{7} + 26165382 T^{8} - 96799448 T^{9} + 639516584 T^{10} - 1922828760 T^{11} + 10719550836 T^{12} - 23792932840 T^{13} + 109447491064 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))
$31$ (\( 1 + 4 T + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 48 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 34 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 4 T + 34 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 48 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( 1 - 12 T + 96 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 + 12 T + 96 T^{2} + 372 T^{3} + 961 T^{4} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( 1 + 81 T^{2} + 8 T^{3} + 2511 T^{4} + 29791 T^{6} \))(\( 1 + 81 T^{2} + 8 T^{3} + 2511 T^{4} + 29791 T^{6} \))(\( 1 + 81 T^{2} - 8 T^{3} + 2511 T^{4} + 29791 T^{6} \))(\( 1 + 81 T^{2} - 8 T^{3} + 2511 T^{4} + 29791 T^{6} \))(\( 1 - 18 T + 189 T^{2} - 1252 T^{3} + 5859 T^{4} - 17298 T^{5} + 29791 T^{6} \))(\( 1 - 6 T + 69 T^{2} - 236 T^{3} + 2139 T^{4} - 5766 T^{5} + 29791 T^{6} \))(\( 1 + 6 T + 69 T^{2} + 236 T^{3} + 2139 T^{4} + 5766 T^{5} + 29791 T^{6} \))(\( 1 + 18 T + 189 T^{2} + 1252 T^{3} + 5859 T^{4} + 17298 T^{5} + 29791 T^{6} \))(\( 1 + 8 T + 64 T^{2} + 216 T^{3} + 1154 T^{4} + 6696 T^{5} + 61504 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 - 16 T + 184 T^{2} - 1472 T^{3} + 9232 T^{4} - 45632 T^{5} + 176824 T^{6} - 476656 T^{7} + 923521 T^{8} \))(\( 1 + 16 T + 184 T^{2} + 1472 T^{3} + 9232 T^{4} + 45632 T^{5} + 176824 T^{6} + 476656 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 64 T^{2} - 216 T^{3} + 1154 T^{4} - 6696 T^{5} + 61504 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 112 T^{2} + 696 T^{3} + 4994 T^{4} + 21576 T^{5} + 107632 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 40 T^{2} + 112 T^{3} + 1136 T^{4} + 3472 T^{5} + 38440 T^{6} + 923521 T^{8} \))(\( 1 + 40 T^{2} - 112 T^{3} + 1136 T^{4} - 3472 T^{5} + 38440 T^{6} + 923521 T^{8} \))(\( 1 - 8 T + 112 T^{2} - 696 T^{3} + 4994 T^{4} - 21576 T^{5} + 107632 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 + 108 T^{2} - 72 T^{3} + 5499 T^{4} - 6408 T^{5} + 191512 T^{6} - 198648 T^{7} + 5284539 T^{8} - 2144952 T^{9} + 99740268 T^{10} + 887503681 T^{12} \))(\( 1 + 12 T + 156 T^{2} + 1012 T^{3} + 7371 T^{4} + 32904 T^{5} + 217176 T^{6} + 1020024 T^{7} + 7083531 T^{8} + 30148492 T^{9} + 144069276 T^{10} + 343549812 T^{11} + 887503681 T^{12} \))(\( 1 - 12 T + 156 T^{2} - 1012 T^{3} + 7371 T^{4} - 32904 T^{5} + 217176 T^{6} - 1020024 T^{7} + 7083531 T^{8} - 30148492 T^{9} + 144069276 T^{10} - 343549812 T^{11} + 887503681 T^{12} \))(\( 1 + 108 T^{2} + 72 T^{3} + 5499 T^{4} + 6408 T^{5} + 191512 T^{6} + 198648 T^{7} + 5284539 T^{8} + 2144952 T^{9} + 99740268 T^{10} + 887503681 T^{12} \))(\( 1 + 6 T + 96 T^{2} + 530 T^{3} + 5331 T^{4} + 26724 T^{5} + 201248 T^{6} + 828444 T^{7} + 5123091 T^{8} + 15789230 T^{9} + 88658016 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 + 30 T + 480 T^{2} + 5314 T^{3} + 46035 T^{4} + 329292 T^{5} + 1991328 T^{6} + 10208052 T^{7} + 44239635 T^{8} + 158309374 T^{9} + 443290080 T^{10} + 858874530 T^{11} + 887503681 T^{12} \))(\( 1 - 30 T + 480 T^{2} - 5314 T^{3} + 46035 T^{4} - 329292 T^{5} + 1991328 T^{6} - 10208052 T^{7} + 44239635 T^{8} - 158309374 T^{9} + 443290080 T^{10} - 858874530 T^{11} + 887503681 T^{12} \))(\( 1 - 6 T + 96 T^{2} - 530 T^{3} + 5331 T^{4} - 26724 T^{5} + 201248 T^{6} - 828444 T^{7} + 5123091 T^{8} - 15789230 T^{9} + 88658016 T^{10} - 171774906 T^{11} + 887503681 T^{12} \))(\( 1 + 8 T + 88 T^{2} + 904 T^{3} + 6896 T^{4} + 46840 T^{5} + 348440 T^{6} + 2079608 T^{7} + 11608834 T^{8} + 64467848 T^{9} + 334850840 T^{10} + 1395410440 T^{11} + 6368600816 T^{12} + 25880752504 T^{13} + 78100323928 T^{14} + 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 - 8 T + 88 T^{2} - 904 T^{3} + 6896 T^{4} - 46840 T^{5} + 348440 T^{6} - 2079608 T^{7} + 11608834 T^{8} - 64467848 T^{9} + 334850840 T^{10} - 1395410440 T^{11} + 6368600816 T^{12} - 25880752504 T^{13} + 78100323928 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 - 8 T + 200 T^{2} - 1288 T^{3} + 18128 T^{4} - 97272 T^{5} + 1002376 T^{6} - 4522104 T^{7} + 37366018 T^{8} - 140185224 T^{9} + 963283336 T^{10} - 2897830152 T^{11} + 16741588688 T^{12} - 36874346488 T^{13} + 177500736200 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} \))(\( 1 + 8 T + 200 T^{2} + 1288 T^{3} + 18128 T^{4} + 97272 T^{5} + 1002376 T^{6} + 4522104 T^{7} + 37366018 T^{8} + 140185224 T^{9} + 963283336 T^{10} + 2897830152 T^{11} + 16741588688 T^{12} + 36874346488 T^{13} + 177500736200 T^{14} + 220100912888 T^{15} + 852891037441 T^{16} \))
$37$ (\( 1 - 6 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( 1 + 8 T + 38 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 46 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 38 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 66 T^{2} - 111 T^{3} + 2442 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 90 T^{2} - 613 T^{3} + 3330 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 + 9 T + 90 T^{2} + 613 T^{3} + 3330 T^{4} + 12321 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 66 T^{2} + 111 T^{3} + 2442 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 126 T^{2} - 649 T^{3} + 4662 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 102 T^{2} - 219 T^{3} + 3774 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 102 T^{2} + 219 T^{3} + 3774 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 + 9 T + 126 T^{2} + 649 T^{3} + 4662 T^{4} + 12321 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 28 T^{2} - 168 T^{3} - 1162 T^{4} - 6216 T^{5} + 38332 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 84 T^{2} + 3990 T^{4} + 114996 T^{6} + 1874161 T^{8} \))(\( 1 + 84 T^{2} + 3990 T^{4} + 114996 T^{6} + 1874161 T^{8} \))(\( 1 - 8 T + 28 T^{2} + 168 T^{3} - 1162 T^{4} + 6216 T^{5} + 38332 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 92 T^{2} - 128 T^{3} + 4086 T^{4} - 4736 T^{5} + 125948 T^{6} + 1874161 T^{8} \))(\( 1 - 16 T + 148 T^{2} - 1008 T^{3} + 6038 T^{4} - 37296 T^{5} + 202612 T^{6} - 810448 T^{7} + 1874161 T^{8} \))(\( 1 + 16 T + 148 T^{2} + 1008 T^{3} + 6038 T^{4} + 37296 T^{5} + 202612 T^{6} + 810448 T^{7} + 1874161 T^{8} \))(\( 1 + 92 T^{2} + 128 T^{3} + 4086 T^{4} + 4736 T^{5} + 125948 T^{6} + 1874161 T^{8} \))(\( 1 + 57 T^{2} + 44 T^{3} + 4278 T^{4} + 3264 T^{5} + 134885 T^{6} + 120768 T^{7} + 5856582 T^{8} + 2228732 T^{9} + 106827177 T^{10} + 2565726409 T^{12} \))(\( 1 + 12 T + 105 T^{2} + 696 T^{3} + 6198 T^{4} + 42636 T^{5} + 293861 T^{6} + 1577532 T^{7} + 8485062 T^{8} + 35254488 T^{9} + 196786905 T^{10} + 832127484 T^{11} + 2565726409 T^{12} \))(\( 1 - 12 T + 105 T^{2} - 696 T^{3} + 6198 T^{4} - 42636 T^{5} + 293861 T^{6} - 1577532 T^{7} + 8485062 T^{8} - 35254488 T^{9} + 196786905 T^{10} - 832127484 T^{11} + 2565726409 T^{12} \))(\( 1 + 57 T^{2} - 44 T^{3} + 4278 T^{4} - 3264 T^{5} + 134885 T^{6} - 120768 T^{7} + 5856582 T^{8} - 2228732 T^{9} + 106827177 T^{10} + 2565726409 T^{12} \))(\( 1 + 6 T + 87 T^{2} + 818 T^{3} + 5934 T^{4} + 41718 T^{5} + 296603 T^{6} + 1543566 T^{7} + 8123646 T^{8} + 41434154 T^{9} + 163052007 T^{10} + 416063742 T^{11} + 2565726409 T^{12} \))(\( 1 + 6 T + 183 T^{2} + 770 T^{3} + 14190 T^{4} + 44886 T^{5} + 651659 T^{6} + 1660782 T^{7} + 19426110 T^{8} + 39002810 T^{9} + 342971463 T^{10} + 416063742 T^{11} + 2565726409 T^{12} \))(\( 1 - 6 T + 183 T^{2} - 770 T^{3} + 14190 T^{4} - 44886 T^{5} + 651659 T^{6} - 1660782 T^{7} + 19426110 T^{8} - 39002810 T^{9} + 342971463 T^{10} - 416063742 T^{11} + 2565726409 T^{12} \))(\( 1 - 6 T + 87 T^{2} - 818 T^{3} + 5934 T^{4} - 41718 T^{5} + 296603 T^{6} - 1543566 T^{7} + 8123646 T^{8} - 41434154 T^{9} + 163052007 T^{10} - 416063742 T^{11} + 2565726409 T^{12} \))(\( ( 1 + 16 T + 228 T^{2} + 1904 T^{3} + 14166 T^{4} + 70448 T^{5} + 312132 T^{6} + 810448 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 16 T + 228 T^{2} - 1904 T^{3} + 14166 T^{4} - 70448 T^{5} + 312132 T^{6} - 810448 T^{7} + 1874161 T^{8} )^{2} \))(\( 1 + 136 T^{2} + 10556 T^{4} + 2048 T^{5} + 577272 T^{6} + 161792 T^{7} + 23960806 T^{8} + 5986304 T^{9} + 790285368 T^{10} + 103737344 T^{11} + 19783643516 T^{12} + 348938791624 T^{14} + 3512479453921 T^{16} \))(\( 1 + 136 T^{2} + 10556 T^{4} - 2048 T^{5} + 577272 T^{6} - 161792 T^{7} + 23960806 T^{8} - 5986304 T^{9} + 790285368 T^{10} - 103737344 T^{11} + 19783643516 T^{12} + 348938791624 T^{14} + 3512479453921 T^{16} \))
$41$ (\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 + 4 T + 62 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 94 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 78 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 94 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 - 21 T + 258 T^{2} - 1973 T^{3} + 10578 T^{4} - 35301 T^{5} + 68921 T^{6} \))(\( 1 + 9 T + 114 T^{2} + 729 T^{3} + 4674 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 114 T^{2} - 729 T^{3} + 4674 T^{4} - 15129 T^{5} + 68921 T^{6} \))(\( 1 + 21 T + 258 T^{2} + 1973 T^{3} + 10578 T^{4} + 35301 T^{5} + 68921 T^{6} \))(\( 1 - 15 T + 186 T^{2} - 1287 T^{3} + 7626 T^{4} - 25215 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 42 T^{2} + 459 T^{3} + 1722 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 - 3 T + 42 T^{2} - 459 T^{3} + 1722 T^{4} - 5043 T^{5} + 68921 T^{6} \))(\( 1 + 15 T + 186 T^{2} + 1287 T^{3} + 7626 T^{4} + 25215 T^{5} + 68921 T^{6} \))(\( 1 - 8 T + 84 T^{2} - 600 T^{3} + 5438 T^{4} - 24600 T^{5} + 141204 T^{6} - 551368 T^{7} + 2825761 T^{8} \))(\( 1 - 8 T + 116 T^{2} - 728 T^{3} + 6526 T^{4} - 29848 T^{5} + 194996 T^{6} - 551368 T^{7} + 2825761 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 728 T^{3} + 6526 T^{4} + 29848 T^{5} + 194996 T^{6} + 551368 T^{7} + 2825761 T^{8} \))(\( 1 + 8 T + 84 T^{2} + 600 T^{3} + 5438 T^{4} + 24600 T^{5} + 141204 T^{6} + 551368 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 144 T^{2} + 1108 T^{3} + 8198 T^{4} + 45428 T^{5} + 242064 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T^{2} + 96 T^{3} + 2238 T^{4} + 3936 T^{5} + 20172 T^{6} + 2825761 T^{8} \))(\( 1 + 12 T^{2} - 96 T^{3} + 2238 T^{4} - 3936 T^{5} + 20172 T^{6} + 2825761 T^{8} \))(\( 1 - 12 T + 144 T^{2} - 1108 T^{3} + 8198 T^{4} - 45428 T^{5} + 242064 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 219 T^{2} + 1856 T^{3} + 19518 T^{4} + 128220 T^{5} + 1002679 T^{6} + 5257020 T^{7} + 32809758 T^{8} + 127917376 T^{9} + 618841659 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 + 12 T + 159 T^{2} + 944 T^{3} + 5046 T^{4} + 8892 T^{5} + 19523 T^{6} + 364572 T^{7} + 8482326 T^{8} + 65061424 T^{9} + 449295999 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 - 12 T + 159 T^{2} - 944 T^{3} + 5046 T^{4} - 8892 T^{5} + 19523 T^{6} - 364572 T^{7} + 8482326 T^{8} - 65061424 T^{9} + 449295999 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 - 12 T + 219 T^{2} - 1856 T^{3} + 19518 T^{4} - 128220 T^{5} + 1002679 T^{6} - 5257020 T^{7} + 32809758 T^{8} - 127917376 T^{9} + 618841659 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 + 12 T + 219 T^{2} + 1652 T^{3} + 18522 T^{4} + 108060 T^{5} + 943355 T^{6} + 4430460 T^{7} + 31135482 T^{8} + 113857492 T^{9} + 618841659 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 + 12 T + 111 T^{2} + 740 T^{3} + 5946 T^{4} + 36636 T^{5} + 243151 T^{6} + 1502076 T^{7} + 9995226 T^{8} + 51001540 T^{9} + 313659471 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 - 12 T + 111 T^{2} - 740 T^{3} + 5946 T^{4} - 36636 T^{5} + 243151 T^{6} - 1502076 T^{7} + 9995226 T^{8} - 51001540 T^{9} + 313659471 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 - 12 T + 219 T^{2} - 1652 T^{3} + 18522 T^{4} - 108060 T^{5} + 943355 T^{6} - 4430460 T^{7} + 31135482 T^{8} - 113857492 T^{9} + 618841659 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 - 8 T + 168 T^{2} - 1256 T^{3} + 15268 T^{4} - 101656 T^{5} + 950936 T^{6} - 5686392 T^{7} + 44440982 T^{8} - 233142072 T^{9} + 1598523416 T^{10} - 7006233176 T^{11} + 43143718948 T^{12} - 145515388456 T^{13} + 798017512488 T^{14} - 1558034191048 T^{15} + 7984925229121 T^{16} \))(\( 1 + 8 T + 168 T^{2} + 1256 T^{3} + 15268 T^{4} + 101656 T^{5} + 950936 T^{6} + 5686392 T^{7} + 44440982 T^{8} + 233142072 T^{9} + 1598523416 T^{10} + 7006233176 T^{11} + 43143718948 T^{12} + 145515388456 T^{13} + 798017512488 T^{14} + 1558034191048 T^{15} + 7984925229121 T^{16} \))(\( 1 + 208 T^{2} - 80 T^{3} + 19972 T^{4} - 19984 T^{5} + 1229936 T^{6} - 1783456 T^{7} + 56728534 T^{8} - 73121696 T^{9} + 2067522416 T^{10} - 1377317264 T^{11} + 56436098692 T^{12} - 9268496080 T^{13} + 988021682128 T^{14} + 7984925229121 T^{16} \))(\( 1 + 208 T^{2} + 80 T^{3} + 19972 T^{4} + 19984 T^{5} + 1229936 T^{6} + 1783456 T^{7} + 56728534 T^{8} + 73121696 T^{9} + 2067522416 T^{10} + 1377317264 T^{11} + 56436098692 T^{12} + 9268496080 T^{13} + 988021682128 T^{14} + 7984925229121 T^{16} \))
$43$ (\( 1 - 2 T + 43 T^{2} \))(\( 1 + 9 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 9 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 8 T + 84 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 30 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 30 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 84 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 74 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 74 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 165 T^{2} + 1056 T^{3} + 7095 T^{4} + 22188 T^{5} + 79507 T^{6} \))(\( 1 + 117 T^{2} - 8 T^{3} + 5031 T^{4} + 79507 T^{6} \))(\( 1 + 117 T^{2} - 8 T^{3} + 5031 T^{4} + 79507 T^{6} \))(\( 1 + 12 T + 165 T^{2} + 1056 T^{3} + 7095 T^{4} + 22188 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 129 T^{2} + 508 T^{3} + 5547 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 57 T^{2} + 652 T^{3} + 2451 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 57 T^{2} + 652 T^{3} + 2451 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 129 T^{2} + 508 T^{3} + 5547 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 8 T + 88 T^{2} + 360 T^{3} + 3098 T^{4} + 15480 T^{5} + 162712 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 112 T^{2} + 760 T^{3} + 6160 T^{4} + 32680 T^{5} + 207088 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 112 T^{2} + 760 T^{3} + 6160 T^{4} + 32680 T^{5} + 207088 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 88 T^{2} + 360 T^{3} + 3098 T^{4} + 15480 T^{5} + 162712 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 164 T^{2} - 476 T^{3} + 10378 T^{4} - 20468 T^{5} + 303236 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 16 T + 152 T^{2} + 848 T^{3} + 5056 T^{4} + 36464 T^{5} + 281048 T^{6} + 1272112 T^{7} + 3418801 T^{8} \))(\( 1 + 16 T + 152 T^{2} + 848 T^{3} + 5056 T^{4} + 36464 T^{5} + 281048 T^{6} + 1272112 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 164 T^{2} - 476 T^{3} + 10378 T^{4} - 20468 T^{5} + 303236 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 24 T + 384 T^{2} - 4132 T^{3} + 36711 T^{4} - 269604 T^{5} + 1858392 T^{6} - 11592972 T^{7} + 67878639 T^{8} - 328522924 T^{9} + 1312819584 T^{10} - 3528202632 T^{11} + 6321363049 T^{12} \))(\( 1 + 156 T^{2} + 76 T^{3} + 11199 T^{4} + 7908 T^{5} + 546096 T^{6} + 340044 T^{7} + 20706951 T^{8} + 6042532 T^{9} + 533332956 T^{10} + 6321363049 T^{12} \))(\( 1 + 156 T^{2} + 76 T^{3} + 11199 T^{4} + 7908 T^{5} + 546096 T^{6} + 340044 T^{7} + 20706951 T^{8} + 6042532 T^{9} + 533332956 T^{10} + 6321363049 T^{12} \))(\( 1 - 24 T + 384 T^{2} - 4132 T^{3} + 36711 T^{4} - 269604 T^{5} + 1858392 T^{6} - 11592972 T^{7} + 67878639 T^{8} - 328522924 T^{9} + 1312819584 T^{10} - 3528202632 T^{11} + 6321363049 T^{12} \))(\( 1 - 18 T + 300 T^{2} - 3286 T^{3} + 32223 T^{4} - 255828 T^{5} + 1822016 T^{6} - 11000604 T^{7} + 59580327 T^{8} - 261260002 T^{9} + 1025640300 T^{10} - 2646151974 T^{11} + 6321363049 T^{12} \))(\( 1 - 6 T + 120 T^{2} - 426 T^{3} + 7143 T^{4} - 23700 T^{5} + 357784 T^{6} - 1019100 T^{7} + 13207407 T^{8} - 33869982 T^{9} + 410256120 T^{10} - 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 - 6 T + 120 T^{2} - 426 T^{3} + 7143 T^{4} - 23700 T^{5} + 357784 T^{6} - 1019100 T^{7} + 13207407 T^{8} - 33869982 T^{9} + 410256120 T^{10} - 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 - 18 T + 300 T^{2} - 3286 T^{3} + 32223 T^{4} - 255828 T^{5} + 1822016 T^{6} - 11000604 T^{7} + 59580327 T^{8} - 261260002 T^{9} + 1025640300 T^{10} - 2646151974 T^{11} + 6321363049 T^{12} \))(\( 1 + 8 T + 216 T^{2} + 1464 T^{3} + 23520 T^{4} + 136872 T^{5} + 1676824 T^{6} + 8458008 T^{7} + 84764354 T^{8} + 363694344 T^{9} + 3100447576 T^{10} + 10882282104 T^{11} + 80410199520 T^{12} + 215220360552 T^{13} + 1365414418584 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 + 8 T + 216 T^{2} + 1464 T^{3} + 23520 T^{4} + 136872 T^{5} + 1676824 T^{6} + 8458008 T^{7} + 84764354 T^{8} + 363694344 T^{9} + 3100447576 T^{10} + 10882282104 T^{11} + 80410199520 T^{12} + 215220360552 T^{13} + 1365414418584 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 - 16 T + 304 T^{2} - 3504 T^{3} + 41200 T^{4} - 370896 T^{5} + 3310704 T^{6} - 24181104 T^{7} + 173725314 T^{8} - 1039787472 T^{9} + 6121491696 T^{10} - 29488828272 T^{11} + 140854601200 T^{12} - 515117584272 T^{13} + 1921694366896 T^{14} - 4349097777712 T^{15} + 11688200277601 T^{16} \))(\( 1 - 16 T + 304 T^{2} - 3504 T^{3} + 41200 T^{4} - 370896 T^{5} + 3310704 T^{6} - 24181104 T^{7} + 173725314 T^{8} - 1039787472 T^{9} + 6121491696 T^{10} - 29488828272 T^{11} + 140854601200 T^{12} - 515117584272 T^{13} + 1921694366896 T^{14} - 4349097777712 T^{15} + 11688200277601 T^{16} \))
$47$ (\( 1 - 7 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 - 2 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( 1 + 12 T + 180 T^{2} + 1165 T^{3} + 8460 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 24 T^{2} + 153 T^{3} + 1128 T^{4} + 103823 T^{6} \))(\( 1 + 24 T^{2} + 153 T^{3} + 1128 T^{4} + 103823 T^{6} \))(\( 1 + 12 T + 180 T^{2} + 1165 T^{3} + 8460 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 150 T^{2} + 1125 T^{3} + 7050 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 114 T^{2} - 27 T^{3} + 5358 T^{4} + 103823 T^{6} \))(\( 1 + 114 T^{2} - 27 T^{3} + 5358 T^{4} + 103823 T^{6} \))(\( 1 + 12 T + 150 T^{2} + 1125 T^{3} + 7050 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 - 16 T + 236 T^{2} - 2256 T^{3} + 17702 T^{4} - 106032 T^{5} + 521324 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 148 T^{2} - 904 T^{3} + 9766 T^{4} - 42488 T^{5} + 326932 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 148 T^{2} - 904 T^{3} + 9766 T^{4} - 42488 T^{5} + 326932 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 236 T^{2} - 2256 T^{3} + 17702 T^{4} - 106032 T^{5} + 521324 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 204 T^{2} - 1872 T^{3} + 14822 T^{4} - 87984 T^{5} + 450636 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 84 T^{2} + 648 T^{3} + 5030 T^{4} + 30456 T^{5} + 185556 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 84 T^{2} + 648 T^{3} + 5030 T^{4} + 30456 T^{5} + 185556 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 204 T^{2} - 1872 T^{3} + 14822 T^{4} - 87984 T^{5} + 450636 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 210 T^{2} - 1150 T^{3} + 19554 T^{4} - 95952 T^{5} + 1117933 T^{6} - 4509744 T^{7} + 43194786 T^{8} - 119396450 T^{9} + 1024733010 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 150 T^{2} + 954 T^{3} + 9498 T^{4} + 67668 T^{5} + 437809 T^{6} + 3180396 T^{7} + 20981082 T^{8} + 99047142 T^{9} + 731952150 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 150 T^{2} + 954 T^{3} + 9498 T^{4} + 67668 T^{5} + 437809 T^{6} + 3180396 T^{7} + 20981082 T^{8} + 99047142 T^{9} + 731952150 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 6 T + 210 T^{2} - 1150 T^{3} + 19554 T^{4} - 95952 T^{5} + 1117933 T^{6} - 4509744 T^{7} + 43194786 T^{8} - 119396450 T^{9} + 1024733010 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 144 T^{2} + 1104 T^{3} + 12144 T^{4} + 81462 T^{5} + 715599 T^{6} + 3828714 T^{7} + 26826096 T^{8} + 114620592 T^{9} + 702674064 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 18 T + 300 T^{2} + 2916 T^{3} + 28176 T^{4} + 196794 T^{5} + 1521799 T^{6} + 9249318 T^{7} + 62240784 T^{8} + 302747868 T^{9} + 1463904300 T^{10} + 4128210126 T^{11} + 10779215329 T^{12} \))(\( 1 + 18 T + 300 T^{2} + 2916 T^{3} + 28176 T^{4} + 196794 T^{5} + 1521799 T^{6} + 9249318 T^{7} + 62240784 T^{8} + 302747868 T^{9} + 1463904300 T^{10} + 4128210126 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 144 T^{2} + 1104 T^{3} + 12144 T^{4} + 81462 T^{5} + 715599 T^{6} + 3828714 T^{7} + 26826096 T^{8} + 114620592 T^{9} + 702674064 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 184 T^{2} + 896 T^{3} + 14652 T^{4} + 140928 T^{5} + 978824 T^{6} + 9673472 T^{7} + 55872134 T^{8} + 454653184 T^{9} + 2162222216 T^{10} + 14631567744 T^{11} + 71497086012 T^{12} + 205493126272 T^{13} + 1983375620536 T^{14} + 23811286661761 T^{16} \))(\( 1 + 184 T^{2} + 896 T^{3} + 14652 T^{4} + 140928 T^{5} + 978824 T^{6} + 9673472 T^{7} + 55872134 T^{8} + 454653184 T^{9} + 2162222216 T^{10} + 14631567744 T^{11} + 71497086012 T^{12} + 205493126272 T^{13} + 1983375620536 T^{14} + 23811286661761 T^{16} \))(\( 1 - 32 T + 696 T^{2} - 11296 T^{3} + 149052 T^{4} - 1656224 T^{5} + 15851912 T^{6} - 132040096 T^{7} + 966334598 T^{8} - 6205884512 T^{9} + 35016873608 T^{10} - 171954144352 T^{11} + 727326212412 T^{12} - 2590681199072 T^{13} + 7502333868984 T^{14} - 16211939854816 T^{15} + 23811286661761 T^{16} \))(\( 1 - 32 T + 696 T^{2} - 11296 T^{3} + 149052 T^{4} - 1656224 T^{5} + 15851912 T^{6} - 132040096 T^{7} + 966334598 T^{8} - 6205884512 T^{9} + 35016873608 T^{10} - 171954144352 T^{11} + 727326212412 T^{12} - 2590681199072 T^{13} + 7502333868984 T^{14} - 16211939854816 T^{15} + 23811286661761 T^{16} \))
$53$ (\( 1 + T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 13 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 13 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 4 T + 78 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 78 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 54 T^{2} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 54 T^{2} + 2809 T^{4} \))(\( 1 + 6 T + 54 T^{2} + 563 T^{3} + 2862 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 - 18 T + 258 T^{2} - 2061 T^{3} + 13674 T^{4} - 50562 T^{5} + 148877 T^{6} \))(\( 1 - 18 T + 258 T^{2} - 2061 T^{3} + 13674 T^{4} - 50562 T^{5} + 148877 T^{6} \))(\( 1 + 6 T + 54 T^{2} + 563 T^{3} + 2862 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 + 6 T + 150 T^{2} + 639 T^{3} + 7950 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 - 6 T + 162 T^{2} - 617 T^{3} + 8586 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 - 6 T + 162 T^{2} - 617 T^{3} + 8586 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 + 6 T + 150 T^{2} + 639 T^{3} + 7950 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 - 8 T + 172 T^{2} - 1048 T^{3} + 12886 T^{4} - 55544 T^{5} + 483148 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 204 T^{2} + 1112 T^{3} + 15734 T^{4} + 58936 T^{5} + 573036 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 204 T^{2} + 1112 T^{3} + 15734 T^{4} + 58936 T^{5} + 573036 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 172 T^{2} - 1048 T^{3} + 12886 T^{4} - 55544 T^{5} + 483148 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 76 T^{2} - 664 T^{3} + 6166 T^{4} - 35192 T^{5} + 213484 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 156 T^{2} + 984 T^{3} + 10646 T^{4} + 52152 T^{5} + 438204 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 156 T^{2} + 984 T^{3} + 10646 T^{4} + 52152 T^{5} + 438204 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 76 T^{2} - 664 T^{3} + 6166 T^{4} - 35192 T^{5} + 213484 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 6 T + 174 T^{2} + 502 T^{3} + 13236 T^{4} + 9876 T^{5} + 700549 T^{6} + 523428 T^{7} + 37179924 T^{8} + 74736254 T^{9} + 1372943694 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 30 T + 474 T^{2} + 4274 T^{3} + 20796 T^{4} - 3600 T^{5} - 573919 T^{6} - 190800 T^{7} + 58415964 T^{8} + 636300298 T^{9} + 3740087994 T^{10} + 12545864790 T^{11} + 22164361129 T^{12} \))(\( 1 + 30 T + 474 T^{2} + 4274 T^{3} + 20796 T^{4} - 3600 T^{5} - 573919 T^{6} - 190800 T^{7} + 58415964 T^{8} + 636300298 T^{9} + 3740087994 T^{10} + 12545864790 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T + 174 T^{2} + 502 T^{3} + 13236 T^{4} + 9876 T^{5} + 700549 T^{6} + 523428 T^{7} + 37179924 T^{8} + 74736254 T^{9} + 1372943694 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T + 222 T^{2} + 1032 T^{3} + 23916 T^{4} + 90912 T^{5} + 1579551 T^{6} + 4818336 T^{7} + 67180044 T^{8} + 153641064 T^{9} + 1751686782 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 18 T + 282 T^{2} + 2844 T^{3} + 26160 T^{4} + 190152 T^{5} + 1486195 T^{6} + 10078056 T^{7} + 73483440 T^{8} + 423406188 T^{9} + 2225115642 T^{10} + 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 + 18 T + 282 T^{2} + 2844 T^{3} + 26160 T^{4} + 190152 T^{5} + 1486195 T^{6} + 10078056 T^{7} + 73483440 T^{8} + 423406188 T^{9} + 2225115642 T^{10} + 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T + 222 T^{2} + 1032 T^{3} + 23916 T^{4} + 90912 T^{5} + 1579551 T^{6} + 4818336 T^{7} + 67180044 T^{8} + 153641064 T^{9} + 1751686782 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 - 16 T + 376 T^{2} - 4016 T^{3} + 54940 T^{4} - 441680 T^{5} + 4599176 T^{6} - 30522224 T^{7} + 274973094 T^{8} - 1617677872 T^{9} + 12919085384 T^{10} - 65755993360 T^{11} + 433503026140 T^{12} - 1679473099888 T^{13} + 8333799784504 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} \))(\( 1 - 16 T + 376 T^{2} - 4016 T^{3} + 54940 T^{4} - 441680 T^{5} + 4599176 T^{6} - 30522224 T^{7} + 274973094 T^{8} - 1617677872 T^{9} + 12919085384 T^{10} - 65755993360 T^{11} + 433503026140 T^{12} - 1679473099888 T^{13} + 8333799784504 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} \))(\( 1 - 32 T + 712 T^{2} - 11552 T^{3} + 155004 T^{4} - 1759328 T^{5} + 17405624 T^{6} - 151619168 T^{7} + 1170948582 T^{8} - 8035815904 T^{9} + 48892397816 T^{10} - 261923474656 T^{11} + 1223056116924 T^{12} - 4830994335136 T^{13} + 15781025123848 T^{14} - 37590756474784 T^{15} + 62259690411361 T^{16} \))(\( 1 - 32 T + 712 T^{2} - 11552 T^{3} + 155004 T^{4} - 1759328 T^{5} + 17405624 T^{6} - 151619168 T^{7} + 1170948582 T^{8} - 8035815904 T^{9} + 48892397816 T^{10} - 261923474656 T^{11} + 1223056116924 T^{12} - 4830994335136 T^{13} + 15781025123848 T^{14} - 37590756474784 T^{15} + 62259690411361 T^{16} \))
$59$ (\( 1 + 3 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 16 T + 164 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 174 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 + 94 T^{2} + 3481 T^{4} \))(\( 1 + 16 T + 174 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 164 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 72 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 72 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( 1 + 60 T^{2} - 477 T^{3} + 3540 T^{4} + 205379 T^{6} \))(\( 1 + 96 T^{2} + 243 T^{3} + 5664 T^{4} + 205379 T^{6} \))(\( 1 + 96 T^{2} + 243 T^{3} + 5664 T^{4} + 205379 T^{6} \))(\( 1 + 60 T^{2} - 477 T^{3} + 3540 T^{4} + 205379 T^{6} \))(\( 1 + 114 T^{2} + 171 T^{3} + 6726 T^{4} + 205379 T^{6} \))(\( 1 + 12 T + 162 T^{2} + 1399 T^{3} + 9558 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 162 T^{2} + 1399 T^{3} + 9558 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 114 T^{2} + 171 T^{3} + 6726 T^{4} + 205379 T^{6} \))(\( 1 - 8 T + 120 T^{2} - 552 T^{3} + 6746 T^{4} - 32568 T^{5} + 417720 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 56 T^{2} - 32 T^{3} + 320 T^{4} - 1888 T^{5} + 194936 T^{6} + 12117361 T^{8} \))(\( 1 + 56 T^{2} - 32 T^{3} + 320 T^{4} - 1888 T^{5} + 194936 T^{6} + 12117361 T^{8} \))(\( 1 - 8 T + 120 T^{2} - 552 T^{3} + 6746 T^{4} - 32568 T^{5} + 417720 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 12 T + 212 T^{2} - 1636 T^{3} + 17450 T^{4} - 96524 T^{5} + 737972 T^{6} - 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 24 T + 400 T^{2} + 4344 T^{3} + 38736 T^{4} + 256296 T^{5} + 1392400 T^{6} + 4929096 T^{7} + 12117361 T^{8} \))(\( 1 + 24 T + 400 T^{2} + 4344 T^{3} + 38736 T^{4} + 256296 T^{5} + 1392400 T^{6} + 4929096 T^{7} + 12117361 T^{8} \))(\( 1 - 12 T + 212 T^{2} - 1636 T^{3} + 17450 T^{4} - 96524 T^{5} + 737972 T^{6} - 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T + 318 T^{2} + 3708 T^{3} + 41046 T^{4} + 356148 T^{5} + 3053149 T^{6} + 21012732 T^{7} + 142881126 T^{8} + 761545332 T^{9} + 3853320798 T^{10} + 12868637382 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 222 T^{2} - 1512 T^{3} + 24906 T^{4} - 163248 T^{5} + 1800481 T^{6} - 9631632 T^{7} + 86697786 T^{8} - 310533048 T^{9} + 2690054142 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 222 T^{2} - 1512 T^{3} + 24906 T^{4} - 163248 T^{5} + 1800481 T^{6} - 9631632 T^{7} + 86697786 T^{8} - 310533048 T^{9} + 2690054142 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 + 18 T + 318 T^{2} + 3708 T^{3} + 41046 T^{4} + 356148 T^{5} + 3053149 T^{6} + 21012732 T^{7} + 142881126 T^{8} + 761545332 T^{9} + 3853320798 T^{10} + 12868637382 T^{11} + 42180533641 T^{12} \))(\( 1 + 30 T + 672 T^{2} + 10076 T^{3} + 126348 T^{4} + 1244850 T^{5} + 10614841 T^{6} + 73446150 T^{7} + 439817388 T^{8} + 2069398804 T^{9} + 8142866592 T^{10} + 21447728970 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 300 T^{2} - 1564 T^{3} + 40488 T^{4} - 173370 T^{5} + 3095449 T^{6} - 10228830 T^{7} + 140938728 T^{8} - 321212756 T^{9} + 3635208300 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 300 T^{2} - 1564 T^{3} + 40488 T^{4} - 173370 T^{5} + 3095449 T^{6} - 10228830 T^{7} + 140938728 T^{8} - 321212756 T^{9} + 3635208300 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 + 30 T + 672 T^{2} + 10076 T^{3} + 126348 T^{4} + 1244850 T^{5} + 10614841 T^{6} + 73446150 T^{7} + 439817388 T^{8} + 2069398804 T^{9} + 8142866592 T^{10} + 21447728970 T^{11} + 42180533641 T^{12} \))(\( 1 - 32 T + 752 T^{2} - 12512 T^{3} + 176400 T^{4} - 2071648 T^{5} + 21608496 T^{6} - 196458528 T^{7} + 1608442370 T^{8} - 11591053152 T^{9} + 75219174576 T^{10} - 425472994592 T^{11} + 2137502480400 T^{12} - 8945132829088 T^{13} + 31719761298032 T^{14} - 79636847514208 T^{15} + 146830437604321 T^{16} \))(\( 1 - 32 T + 752 T^{2} - 12512 T^{3} + 176400 T^{4} - 2071648 T^{5} + 21608496 T^{6} - 196458528 T^{7} + 1608442370 T^{8} - 11591053152 T^{9} + 75219174576 T^{10} - 425472994592 T^{11} + 2137502480400 T^{12} - 8945132829088 T^{13} + 31719761298032 T^{14} - 79636847514208 T^{15} + 146830437604321 T^{16} \))(\( 1 - 24 T + 472 T^{2} - 6648 T^{3} + 85120 T^{4} - 916264 T^{5} + 9122328 T^{6} - 79562888 T^{7} + 647500354 T^{8} - 4694210392 T^{9} + 31754823768 T^{10} - 188181384056 T^{11} + 1031429768320 T^{12} - 4752816739752 T^{13} + 19909211878552 T^{14} - 59727635635656 T^{15} + 146830437604321 T^{16} \))(\( 1 - 24 T + 472 T^{2} - 6648 T^{3} + 85120 T^{4} - 916264 T^{5} + 9122328 T^{6} - 79562888 T^{7} + 647500354 T^{8} - 4694210392 T^{9} + 31754823768 T^{10} - 188181384056 T^{11} + 1031429768320 T^{12} - 4752816739752 T^{13} + 19909211878552 T^{14} - 59727635635656 T^{15} + 146830437604321 T^{16} \))
$61$ (\( 1 + 14 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{2} \))(\( 1 + 4 T + 30 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{2} \))(\( 1 + 8 T + 86 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 20 T + 214 T^{2} - 1220 T^{3} + 3721 T^{4} \))(\( 1 + 20 T + 214 T^{2} + 1220 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 123 T^{2} + 1312 T^{3} + 7503 T^{4} + 44652 T^{5} + 226981 T^{6} \))(\( 1 + 171 T^{2} + 8 T^{3} + 10431 T^{4} + 226981 T^{6} \))(\( 1 + 171 T^{2} - 8 T^{3} + 10431 T^{4} + 226981 T^{6} \))(\( 1 - 12 T + 123 T^{2} - 1312 T^{3} + 7503 T^{4} - 44652 T^{5} + 226981 T^{6} \))(\( 1 - 18 T + 243 T^{2} - 2188 T^{3} + 14823 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 - 18 T + 243 T^{2} - 2188 T^{3} + 14823 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 243 T^{2} + 2188 T^{3} + 14823 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 243 T^{2} + 2188 T^{3} + 14823 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 8 T + 188 T^{2} + 1048 T^{3} + 15478 T^{4} + 63928 T^{5} + 699548 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 324 T^{2} - 3056 T^{3} + 32118 T^{4} - 186416 T^{5} + 1205604 T^{6} - 3631696 T^{7} + 13845841 T^{8} \))(\( 1 + 16 T + 324 T^{2} + 3056 T^{3} + 32118 T^{4} + 186416 T^{5} + 1205604 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 8 T + 188 T^{2} - 1048 T^{3} + 15478 T^{4} - 63928 T^{5} + 699548 T^{6} - 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 180 T^{2} + 192 T^{3} + 14406 T^{4} + 11712 T^{5} + 669780 T^{6} + 13845841 T^{8} \))(\( 1 + 16 T + 308 T^{2} + 2928 T^{3} + 30006 T^{4} + 178608 T^{5} + 1146068 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 308 T^{2} - 2928 T^{3} + 30006 T^{4} - 178608 T^{5} + 1146068 T^{6} - 3631696 T^{7} + 13845841 T^{8} \))(\( 1 + 180 T^{2} - 192 T^{3} + 14406 T^{4} - 11712 T^{5} + 669780 T^{6} + 13845841 T^{8} \))(\( 1 - 6 T + 300 T^{2} - 1418 T^{3} + 40527 T^{4} - 154656 T^{5} + 3173712 T^{6} - 9434016 T^{7} + 150800967 T^{8} - 321859058 T^{9} + 4153752300 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T + 24 T^{2} + 674 T^{3} + 4431 T^{4} + 19416 T^{5} + 190392 T^{6} + 1184376 T^{7} + 16487751 T^{8} + 152985194 T^{9} + 332300184 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T + 24 T^{2} - 674 T^{3} + 4431 T^{4} - 19416 T^{5} + 190392 T^{6} - 1184376 T^{7} + 16487751 T^{8} - 152985194 T^{9} + 332300184 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T + 300 T^{2} + 1418 T^{3} + 40527 T^{4} + 154656 T^{5} + 3173712 T^{6} + 9434016 T^{7} + 150800967 T^{8} + 321859058 T^{9} + 4153752300 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 24 T + 516 T^{2} - 6960 T^{3} + 85695 T^{4} - 805440 T^{5} + 7047952 T^{6} - 49131840 T^{7} + 318871095 T^{8} - 1579787760 T^{9} + 7144453956 T^{10} - 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 + 24 T + 336 T^{2} + 3936 T^{3} + 42783 T^{4} + 380352 T^{5} + 3031000 T^{6} + 23201472 T^{7} + 159195543 T^{8} + 893397216 T^{9} + 4652202576 T^{10} + 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 - 24 T + 336 T^{2} - 3936 T^{3} + 42783 T^{4} - 380352 T^{5} + 3031000 T^{6} - 23201472 T^{7} + 159195543 T^{8} - 893397216 T^{9} + 4652202576 T^{10} - 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 + 24 T + 516 T^{2} + 6960 T^{3} + 85695 T^{4} + 805440 T^{5} + 7047952 T^{6} + 49131840 T^{7} + 318871095 T^{8} + 1579787760 T^{9} + 7144453956 T^{10} + 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 + 8 T + 240 T^{2} + 1624 T^{3} + 33084 T^{4} + 212456 T^{5} + 3192464 T^{6} + 18030456 T^{7} + 222577062 T^{8} + 1099857816 T^{9} + 11879158544 T^{10} + 48223475336 T^{11} + 458075803644 T^{12} + 1371624392824 T^{13} + 12364889846640 T^{14} + 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 240 T^{2} - 1624 T^{3} + 33084 T^{4} - 212456 T^{5} + 3192464 T^{6} - 18030456 T^{7} + 222577062 T^{8} - 1099857816 T^{9} + 11879158544 T^{10} - 48223475336 T^{11} + 458075803644 T^{12} - 1371624392824 T^{13} + 12364889846640 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 + 8 T + 352 T^{2} + 2808 T^{3} + 59772 T^{4} + 449544 T^{5} + 6371744 T^{6} + 42679864 T^{7} + 464761638 T^{8} + 2603471704 T^{9} + 23709259424 T^{10} + 102037946664 T^{11} + 827593608252 T^{12} + 2371626413208 T^{13} + 18135171775072 T^{14} + 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 352 T^{2} - 2808 T^{3} + 59772 T^{4} - 449544 T^{5} + 6371744 T^{6} - 42679864 T^{7} + 464761638 T^{8} - 2603471704 T^{9} + 23709259424 T^{10} - 102037946664 T^{11} + 827593608252 T^{12} - 2371626413208 T^{13} + 18135171775072 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))
$67$ (\( 1 - 8 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 16 T + 148 T^{2} + 1072 T^{3} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 + 16 T + 148 T^{2} + 1072 T^{3} + 4489 T^{4} \))(\( 1 - 22 T + 242 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 168 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 168 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 22 T + 242 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( 1 + 6 T + 177 T^{2} + 812 T^{3} + 11859 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 18 T + 297 T^{2} + 2548 T^{3} + 19899 T^{4} + 80802 T^{5} + 300763 T^{6} \))(\( 1 + 18 T + 297 T^{2} + 2548 T^{3} + 19899 T^{4} + 80802 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 177 T^{2} + 812 T^{3} + 11859 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 30 T + 465 T^{2} + 4588 T^{3} + 31155 T^{4} + 134670 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 105 T^{2} + 380 T^{3} + 7035 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 105 T^{2} + 380 T^{3} + 7035 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 30 T + 465 T^{2} + 4588 T^{3} + 31155 T^{4} + 134670 T^{5} + 300763 T^{6} \))(\( 1 - 40 T + 824 T^{2} - 11112 T^{3} + 106746 T^{4} - 744504 T^{5} + 3698936 T^{6} - 12030520 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 160 T^{2} - 456 T^{3} + 9776 T^{4} - 30552 T^{5} + 718240 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 160 T^{2} - 456 T^{3} + 9776 T^{4} - 30552 T^{5} + 718240 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 40 T + 824 T^{2} - 11112 T^{3} + 106746 T^{4} - 744504 T^{5} + 3698936 T^{6} - 12030520 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 260 T^{2} + 796 T^{3} + 25866 T^{4} + 53332 T^{5} + 1167140 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 120 T^{2} + 8160 T^{4} + 538680 T^{6} + 20151121 T^{8} \))(\( 1 + 120 T^{2} + 8160 T^{4} + 538680 T^{6} + 20151121 T^{8} \))(\( 1 + 4 T + 260 T^{2} + 796 T^{3} + 25866 T^{4} + 53332 T^{5} + 1167140 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 36 T + 810 T^{2} - 13012 T^{3} + 168363 T^{4} - 1778040 T^{5} + 15892572 T^{6} - 119128680 T^{7} + 755781507 T^{8} - 3913528156 T^{9} + 16322408010 T^{10} - 48604503852 T^{11} + 90458382169 T^{12} \))(\( 1 + 24 T + 510 T^{2} + 6416 T^{3} + 77115 T^{4} + 682320 T^{5} + 6284148 T^{6} + 45715440 T^{7} + 346169235 T^{8} + 1929695408 T^{9} + 10277071710 T^{10} + 32403002568 T^{11} + 90458382169 T^{12} \))(\( 1 + 24 T + 510 T^{2} + 6416 T^{3} + 77115 T^{4} + 682320 T^{5} + 6284148 T^{6} + 45715440 T^{7} + 346169235 T^{8} + 1929695408 T^{9} + 10277071710 T^{10} + 32403002568 T^{11} + 90458382169 T^{12} \))(\( 1 - 36 T + 810 T^{2} - 13012 T^{3} + 168363 T^{4} - 1778040 T^{5} + 15892572 T^{6} - 119128680 T^{7} + 755781507 T^{8} - 3913528156 T^{9} + 16322408010 T^{10} - 48604503852 T^{11} + 90458382169 T^{12} \))(\( 1 + 246 T^{2} - 540 T^{3} + 30795 T^{4} - 75276 T^{5} + 2568292 T^{6} - 5043492 T^{7} + 138238755 T^{8} - 162412020 T^{9} + 4957175766 T^{10} + 90458382169 T^{12} \))(\( 1 + 162 T^{2} - 252 T^{3} + 16299 T^{4} - 31932 T^{5} + 1228204 T^{6} - 2139444 T^{7} + 73166211 T^{8} - 75792276 T^{9} + 3264481602 T^{10} + 90458382169 T^{12} \))(\( 1 + 162 T^{2} - 252 T^{3} + 16299 T^{4} - 31932 T^{5} + 1228204 T^{6} - 2139444 T^{7} + 73166211 T^{8} - 75792276 T^{9} + 3264481602 T^{10} + 90458382169 T^{12} \))(\( 1 + 246 T^{2} - 540 T^{3} + 30795 T^{4} - 75276 T^{5} + 2568292 T^{6} - 5043492 T^{7} + 138238755 T^{8} - 162412020 T^{9} + 4957175766 T^{10} + 90458382169 T^{12} \))(\( 1 + 8 T + 248 T^{2} + 1384 T^{3} + 30656 T^{4} + 126136 T^{5} + 2680504 T^{6} + 8716952 T^{7} + 190790786 T^{8} + 584035784 T^{9} + 12032782456 T^{10} + 37937041768 T^{11} + 617752765376 T^{12} + 1868573148088 T^{13} + 22433678777912 T^{14} + 48485692842584 T^{15} + 406067677556641 T^{16} \))(\( 1 + 8 T + 248 T^{2} + 1384 T^{3} + 30656 T^{4} + 126136 T^{5} + 2680504 T^{6} + 8716952 T^{7} + 190790786 T^{8} + 584035784 T^{9} + 12032782456 T^{10} + 37937041768 T^{11} + 617752765376 T^{12} + 1868573148088 T^{13} + 22433678777912 T^{14} + 48485692842584 T^{15} + 406067677556641 T^{16} \))(\( 1 - 16 T + 416 T^{2} - 4816 T^{3} + 71952 T^{4} - 645808 T^{5} + 7357408 T^{6} - 55216752 T^{7} + 549770306 T^{8} - 3699522384 T^{9} + 33027404512 T^{10} - 194235151504 T^{11} + 1449913458192 T^{12} - 6502202515312 T^{13} + 37630686982304 T^{14} - 96971385685168 T^{15} + 406067677556641 T^{16} \))(\( 1 - 16 T + 416 T^{2} - 4816 T^{3} + 71952 T^{4} - 645808 T^{5} + 7357408 T^{6} - 55216752 T^{7} + 549770306 T^{8} - 3699522384 T^{9} + 33027404512 T^{10} - 194235151504 T^{11} + 1449913458192 T^{12} - 6502202515312 T^{13} + 37630686982304 T^{14} - 96971385685168 T^{15} + 406067677556641 T^{16} \))
$71$ (\( 1 + 2 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( ( 1 + 10 T + 71 T^{2} )^{2} \))(\( 1 - 4 T + 138 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 134 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 138 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( ( 1 - 10 T + 71 T^{2} )^{2} \))(\( 1 + 6 T + 34 T^{2} + 426 T^{3} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 - 6 T + 34 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 + 57 T^{2} - 152 T^{3} + 4047 T^{4} + 357911 T^{6} \))(\( 1 + 177 T^{2} + 72 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 + 177 T^{2} - 72 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 + 57 T^{2} + 152 T^{3} + 4047 T^{4} + 357911 T^{6} \))(\( 1 - 6 T + 33 T^{2} + 36 T^{3} + 2343 T^{4} - 30246 T^{5} + 357911 T^{6} \))(\( 1 - 6 T + 33 T^{2} + 36 T^{3} + 2343 T^{4} - 30246 T^{5} + 357911 T^{6} \))(\( 1 + 6 T + 33 T^{2} - 36 T^{3} + 2343 T^{4} + 30246 T^{5} + 357911 T^{6} \))(\( 1 + 6 T + 33 T^{2} - 36 T^{3} + 2343 T^{4} + 30246 T^{5} + 357911 T^{6} \))(\( 1 + 148 T^{2} + 11326 T^{4} + 746068 T^{6} + 25411681 T^{8} \))(\( 1 + 212 T^{2} + 20670 T^{4} + 1068692 T^{6} + 25411681 T^{8} \))(\( 1 + 212 T^{2} + 20670 T^{4} + 1068692 T^{6} + 25411681 T^{8} \))(\( 1 + 148 T^{2} + 11326 T^{4} + 746068 T^{6} + 25411681 T^{8} \))(\( 1 - 20 T + 360 T^{2} - 4084 T^{3} + 40854 T^{4} - 289964 T^{5} + 1814760 T^{6} - 7158220 T^{7} + 25411681 T^{8} \))(\( 1 - 8 T + 156 T^{2} - 1032 T^{3} + 15902 T^{4} - 73272 T^{5} + 786396 T^{6} - 2863288 T^{7} + 25411681 T^{8} \))(\( 1 + 8 T + 156 T^{2} + 1032 T^{3} + 15902 T^{4} + 73272 T^{5} + 786396 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 + 20 T + 360 T^{2} + 4084 T^{3} + 40854 T^{4} + 289964 T^{5} + 1814760 T^{6} + 7158220 T^{7} + 25411681 T^{8} \))(\( 1 + 30 T + 480 T^{2} + 5474 T^{3} + 55167 T^{4} + 527892 T^{5} + 4704280 T^{6} + 37480332 T^{7} + 278096847 T^{8} + 1959204814 T^{9} + 12197606880 T^{10} + 54126880530 T^{11} + 128100283921 T^{12} \))(\( 1 + 6 T + 192 T^{2} + 650 T^{3} + 14871 T^{4} + 35604 T^{5} + 962888 T^{6} + 2527884 T^{7} + 74964711 T^{8} + 232642150 T^{9} + 4879042752 T^{10} + 10825376106 T^{11} + 128100283921 T^{12} \))(\( 1 - 6 T + 192 T^{2} - 650 T^{3} + 14871 T^{4} - 35604 T^{5} + 962888 T^{6} - 2527884 T^{7} + 74964711 T^{8} - 232642150 T^{9} + 4879042752 T^{10} - 10825376106 T^{11} + 128100283921 T^{12} \))(\( 1 - 30 T + 480 T^{2} - 5474 T^{3} + 55167 T^{4} - 527892 T^{5} + 4704280 T^{6} - 37480332 T^{7} + 278096847 T^{8} - 1959204814 T^{9} + 12197606880 T^{10} - 54126880530 T^{11} + 128100283921 T^{12} \))(\( 1 + 24 T + 480 T^{2} + 6028 T^{3} + 68775 T^{4} + 615396 T^{5} + 5582968 T^{6} + 43693116 T^{7} + 346694775 T^{8} + 2157487508 T^{9} + 12197606880 T^{10} + 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 + 24 T + 600 T^{2} + 8924 T^{3} + 125103 T^{4} + 1295604 T^{5} + 12431320 T^{6} + 91987884 T^{7} + 630644223 T^{8} + 3193997764 T^{9} + 15247008600 T^{10} + 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 - 24 T + 600 T^{2} - 8924 T^{3} + 125103 T^{4} - 1295604 T^{5} + 12431320 T^{6} - 91987884 T^{7} + 630644223 T^{8} - 3193997764 T^{9} + 15247008600 T^{10} - 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 - 24 T + 480 T^{2} - 6028 T^{3} + 68775 T^{4} - 615396 T^{5} + 5582968 T^{6} - 43693116 T^{7} + 346694775 T^{8} - 2157487508 T^{9} + 12197606880 T^{10} - 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 - 24 T + 456 T^{2} - 6312 T^{3} + 82756 T^{4} - 874856 T^{5} + 8854136 T^{6} - 79423704 T^{7} + 712986582 T^{8} - 5639082984 T^{9} + 44633699576 T^{10} - 313120585816 T^{11} + 2102969072836 T^{12} - 11388295663512 T^{13} + 58413729467976 T^{14} - 218282883801384 T^{15} + 645753531245761 T^{16} \))(\( 1 + 24 T + 456 T^{2} + 6312 T^{3} + 82756 T^{4} + 874856 T^{5} + 8854136 T^{6} + 79423704 T^{7} + 712986582 T^{8} + 5639082984 T^{9} + 44633699576 T^{10} + 313120585816 T^{11} + 2102969072836 T^{12} + 11388295663512 T^{13} + 58413729467976 T^{14} + 218282883801384 T^{15} + 645753531245761 T^{16} \))(\( 1 + 480 T^{2} - 112 T^{3} + 105220 T^{4} - 35280 T^{5} + 13834464 T^{6} - 4692448 T^{7} + 1196437078 T^{8} - 333163808 T^{9} + 69739533024 T^{10} - 12627100080 T^{11} + 2673817074820 T^{12} - 202073687312 T^{13} + 61488136282080 T^{14} + 645753531245761 T^{16} \))(\( 1 + 480 T^{2} + 112 T^{3} + 105220 T^{4} + 35280 T^{5} + 13834464 T^{6} + 4692448 T^{7} + 1196437078 T^{8} + 333163808 T^{9} + 69739533024 T^{10} + 12627100080 T^{11} + 2673817074820 T^{12} + 202073687312 T^{13} + 61488136282080 T^{14} + 645753531245761 T^{16} \))
$73$ (\( 1 - 8 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 8 T + 34 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 202 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 158 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 202 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 34 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 142 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( 1 - 6 T + 142 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 171 T^{2} - 64 T^{3} + 12483 T^{4} + 389017 T^{6} \))(\( ( 1 - 4 T + 73 T^{2} )^{3} \))(\( ( 1 + 4 T + 73 T^{2} )^{3} \))(\( 1 + 171 T^{2} + 64 T^{3} + 12483 T^{4} + 389017 T^{6} \))(\( 1 + 6 T + 123 T^{2} + 884 T^{3} + 8979 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 3 T^{2} + 876 T^{3} + 219 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 + 6 T + 3 T^{2} - 876 T^{3} + 219 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 123 T^{2} - 884 T^{3} + 8979 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 - 8 T + 116 T^{2} - 984 T^{3} + 10494 T^{4} - 71832 T^{5} + 618164 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T + 164 T^{2} + 952 T^{3} + 15454 T^{4} + 69496 T^{5} + 873956 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 164 T^{2} - 952 T^{3} + 15454 T^{4} - 69496 T^{5} + 873956 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 984 T^{3} + 10494 T^{4} + 71832 T^{5} + 618164 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 336 T^{2} + 2676 T^{3} + 38406 T^{4} + 195348 T^{5} + 1790544 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 16 T + 284 T^{2} + 2480 T^{3} + 27358 T^{4} + 181040 T^{5} + 1513436 T^{6} + 6224272 T^{7} + 28398241 T^{8} \))(\( 1 - 16 T + 284 T^{2} - 2480 T^{3} + 27358 T^{4} - 181040 T^{5} + 1513436 T^{6} - 6224272 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 336 T^{2} - 2676 T^{3} + 38406 T^{4} - 195348 T^{5} + 1790544 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 108 T^{2} + 1680 T^{3} + 23391 T^{4} + 194172 T^{5} + 1396864 T^{6} + 14174556 T^{7} + 124650639 T^{8} + 653548560 T^{9} + 3067010028 T^{10} + 24876859116 T^{11} + 151334226289 T^{12} \))(\( 1 + 36 T + 720 T^{2} + 10584 T^{3} + 127719 T^{4} + 1327932 T^{5} + 12088232 T^{6} + 96939036 T^{7} + 680614551 T^{8} + 4117355928 T^{9} + 20446733520 T^{10} + 74630577348 T^{11} + 151334226289 T^{12} \))(\( 1 - 36 T + 720 T^{2} - 10584 T^{3} + 127719 T^{4} - 1327932 T^{5} + 12088232 T^{6} - 96939036 T^{7} + 680614551 T^{8} - 4117355928 T^{9} + 20446733520 T^{10} - 74630577348 T^{11} + 151334226289 T^{12} \))(\( 1 - 12 T + 108 T^{2} - 1680 T^{3} + 23391 T^{4} - 194172 T^{5} + 1396864 T^{6} - 14174556 T^{7} + 124650639 T^{8} - 653548560 T^{9} + 3067010028 T^{10} - 24876859116 T^{11} + 151334226289 T^{12} \))(\( 1 + 6 T + 360 T^{2} + 1542 T^{3} + 56871 T^{4} + 184764 T^{5} + 5257288 T^{6} + 13487772 T^{7} + 303065559 T^{8} + 599864214 T^{9} + 10223366760 T^{10} + 12438429558 T^{11} + 151334226289 T^{12} \))(\( 1 - 18 T + 444 T^{2} - 5418 T^{3} + 78063 T^{4} - 713340 T^{5} + 7442224 T^{6} - 52073820 T^{7} + 415997727 T^{8} - 2107694106 T^{9} + 12608819004 T^{10} - 37315288674 T^{11} + 151334226289 T^{12} \))(\( 1 + 18 T + 444 T^{2} + 5418 T^{3} + 78063 T^{4} + 713340 T^{5} + 7442224 T^{6} + 52073820 T^{7} + 415997727 T^{8} + 2107694106 T^{9} + 12608819004 T^{10} + 37315288674 T^{11} + 151334226289 T^{12} \))(\( 1 - 6 T + 360 T^{2} - 1542 T^{3} + 56871 T^{4} - 184764 T^{5} + 5257288 T^{6} - 13487772 T^{7} + 303065559 T^{8} - 599864214 T^{9} + 10223366760 T^{10} - 12438429558 T^{11} + 151334226289 T^{12} \))(\( 1 + 40 T + 1144 T^{2} + 22600 T^{3} + 370500 T^{4} + 4951416 T^{5} + 58081864 T^{6} + 587992216 T^{7} + 5361940054 T^{8} + 42923431768 T^{9} + 309518253256 T^{10} + 1926184998072 T^{11} + 10521548290500 T^{12} + 46851418001800 T^{13} + 173126354874616 T^{14} + 441895940763880 T^{15} + 806460091894081 T^{16} \))(\( 1 - 40 T + 1144 T^{2} - 22600 T^{3} + 370500 T^{4} - 4951416 T^{5} + 58081864 T^{6} - 587992216 T^{7} + 5361940054 T^{8} - 42923431768 T^{9} + 309518253256 T^{10} - 1926184998072 T^{11} + 10521548290500 T^{12} - 46851418001800 T^{13} + 173126354874616 T^{14} - 441895940763880 T^{15} + 806460091894081 T^{16} \))(\( 1 + 32 T + 832 T^{2} + 14800 T^{3} + 230308 T^{4} + 2918544 T^{5} + 33551104 T^{6} + 332176768 T^{7} + 3034303894 T^{8} + 24248904064 T^{9} + 178793833216 T^{10} + 1135363231248 T^{11} + 6540342088228 T^{12} + 30681459576400 T^{13} + 125910076272448 T^{14} + 353516752611104 T^{15} + 806460091894081 T^{16} \))(\( 1 - 32 T + 832 T^{2} - 14800 T^{3} + 230308 T^{4} - 2918544 T^{5} + 33551104 T^{6} - 332176768 T^{7} + 3034303894 T^{8} - 24248904064 T^{9} + 178793833216 T^{10} - 1135363231248 T^{11} + 6540342088228 T^{12} - 30681459576400 T^{13} + 125910076272448 T^{14} - 353516752611104 T^{15} + 806460091894081 T^{16} \))
$79$ (\( 1 - 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 12 T + 176 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( 1 + 8 T + 78 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 14 T + 79 T^{2} )^{2} \))(\( 1 - 12 T + 176 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 + 106 T^{2} + 6241 T^{4} \))(\( 1 + 20 T + 208 T^{2} + 1580 T^{3} + 6241 T^{4} \))(\( 1 - 20 T + 208 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 + 106 T^{2} + 6241 T^{4} \))(\( 1 + 129 T^{2} + 216 T^{3} + 10191 T^{4} + 493039 T^{6} \))(\( 1 - 12 T + 177 T^{2} - 1312 T^{3} + 13983 T^{4} - 74892 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 177 T^{2} + 1312 T^{3} + 13983 T^{4} + 74892 T^{5} + 493039 T^{6} \))(\( 1 + 129 T^{2} - 216 T^{3} + 10191 T^{4} + 493039 T^{6} \))(\( 1 + 6 T + 213 T^{2} + 812 T^{3} + 16827 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 - 6 T + 141 T^{2} - 956 T^{3} + 11139 T^{4} - 37446 T^{5} + 493039 T^{6} \))(\( 1 + 6 T + 141 T^{2} + 956 T^{3} + 11139 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 - 6 T + 213 T^{2} - 812 T^{3} + 16827 T^{4} - 37446 T^{5} + 493039 T^{6} \))(\( 1 + 24 T + 416 T^{2} + 5000 T^{3} + 51138 T^{4} + 395000 T^{5} + 2596256 T^{6} + 11832936 T^{7} + 38950081 T^{8} \))(\( 1 + 104 T^{2} + 1104 T^{3} + 4336 T^{4} + 87216 T^{5} + 649064 T^{6} + 38950081 T^{8} \))(\( 1 + 104 T^{2} - 1104 T^{3} + 4336 T^{4} - 87216 T^{5} + 649064 T^{6} + 38950081 T^{8} \))(\( 1 - 24 T + 416 T^{2} - 5000 T^{3} + 51138 T^{4} - 395000 T^{5} + 2596256 T^{6} - 11832936 T^{7} + 38950081 T^{8} \))(\( 1 - 64 T^{2} + 13378 T^{4} - 399424 T^{6} + 38950081 T^{8} \))(\( 1 + 152 T^{2} + 368 T^{3} + 14832 T^{4} + 29072 T^{5} + 948632 T^{6} + 38950081 T^{8} \))(\( 1 + 152 T^{2} - 368 T^{3} + 14832 T^{4} - 29072 T^{5} + 948632 T^{6} + 38950081 T^{8} \))(\( 1 - 64 T^{2} + 13378 T^{4} - 399424 T^{6} + 38950081 T^{8} \))(\( 1 + 12 T + 324 T^{2} + 2760 T^{3} + 46071 T^{4} + 308292 T^{5} + 4203424 T^{6} + 24355068 T^{7} + 287529111 T^{8} + 1360787640 T^{9} + 12619826244 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 + 12 T + 312 T^{2} + 3016 T^{3} + 44463 T^{4} + 365892 T^{5} + 4109640 T^{6} + 28905468 T^{7} + 277493583 T^{8} + 1487005624 T^{9} + 12152425272 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 12 T + 312 T^{2} - 3016 T^{3} + 44463 T^{4} - 365892 T^{5} + 4109640 T^{6} - 28905468 T^{7} + 277493583 T^{8} - 1487005624 T^{9} + 12152425272 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 12 T + 324 T^{2} - 2760 T^{3} + 46071 T^{4} - 308292 T^{5} + 4203424 T^{6} - 24355068 T^{7} + 287529111 T^{8} - 1360787640 T^{9} + 12619826244 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 + 6 T + 240 T^{2} + 1554 T^{3} + 35367 T^{4} + 210228 T^{5} + 3288008 T^{6} + 16608012 T^{7} + 220725447 T^{8} + 766182606 T^{9} + 9348019440 T^{10} + 18462338394 T^{11} + 243087455521 T^{12} \))(\( 1 + 30 T + 828 T^{2} + 13938 T^{3} + 211887 T^{4} + 2376636 T^{5} + 24134176 T^{6} + 187754244 T^{7} + 1322386767 T^{8} + 6871977582 T^{9} + 32250667068 T^{10} + 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 - 30 T + 828 T^{2} - 13938 T^{3} + 211887 T^{4} - 2376636 T^{5} + 24134176 T^{6} - 187754244 T^{7} + 1322386767 T^{8} - 6871977582 T^{9} + 32250667068 T^{10} - 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 - 6 T + 240 T^{2} - 1554 T^{3} + 35367 T^{4} - 210228 T^{5} + 3288008 T^{6} - 16608012 T^{7} + 220725447 T^{8} - 766182606 T^{9} + 9348019440 T^{10} - 18462338394 T^{11} + 243087455521 T^{12} \))(\( 1 + 24 T + 648 T^{2} + 9512 T^{3} + 147024 T^{4} + 1583192 T^{5} + 18373576 T^{6} + 163630184 T^{7} + 1632322690 T^{8} + 12926784536 T^{9} + 114669487816 T^{10} + 780575400488 T^{11} + 5726596708944 T^{12} + 29268960467288 T^{13} + 157520671177608 T^{14} + 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 24 T + 648 T^{2} - 9512 T^{3} + 147024 T^{4} - 1583192 T^{5} + 18373576 T^{6} - 163630184 T^{7} + 1632322690 T^{8} - 12926784536 T^{9} + 114669487816 T^{10} - 780575400488 T^{11} + 5726596708944 T^{12} - 29268960467288 T^{13} + 157520671177608 T^{14} - 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 24 T + 696 T^{2} + 11656 T^{3} + 197520 T^{4} + 2522872 T^{5} + 31286520 T^{6} + 316978408 T^{7} + 3086228354 T^{8} + 25041294232 T^{9} + 195259171320 T^{10} + 1243874288008 T^{11} + 7693419999120 T^{12} + 35866169386744 T^{13} + 169188869042616 T^{14} + 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 24 T + 696 T^{2} - 11656 T^{3} + 197520 T^{4} - 2522872 T^{5} + 31286520 T^{6} - 316978408 T^{7} + 3086228354 T^{8} - 25041294232 T^{9} + 195259171320 T^{10} - 1243874288008 T^{11} + 7693419999120 T^{12} - 35866169386744 T^{13} + 169188869042616 T^{14} - 460893815667816 T^{15} + 1517108809906561 T^{16} \))
$83$ (\( 1 + 10 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 16 T + 198 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 - 122 T^{2} + 6889 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 122 T^{2} + 6889 T^{4} \))(\( 1 - 16 T + 198 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 118 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( 1 - 4 T + 118 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 - 6 T + 153 T^{2} - 572 T^{3} + 12699 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 - 18 T + 321 T^{2} - 2916 T^{3} + 26643 T^{4} - 124002 T^{5} + 571787 T^{6} \))(\( 1 - 18 T + 321 T^{2} - 2916 T^{3} + 26643 T^{4} - 124002 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 153 T^{2} - 572 T^{3} + 12699 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 - 24 T + 393 T^{2} - 4176 T^{3} + 32619 T^{4} - 165336 T^{5} + 571787 T^{6} \))(\( ( 1 + 83 T^{2} )^{3} \))(\( ( 1 + 83 T^{2} )^{3} \))(\( 1 - 24 T + 393 T^{2} - 4176 T^{3} + 32619 T^{4} - 165336 T^{5} + 571787 T^{6} \))(\( 1 + 16 T + 364 T^{2} + 3728 T^{3} + 46390 T^{4} + 309424 T^{5} + 2507596 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 + 16 T + 332 T^{2} + 3920 T^{3} + 41302 T^{4} + 325360 T^{5} + 2287148 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 + 16 T + 332 T^{2} + 3920 T^{3} + 41302 T^{4} + 325360 T^{5} + 2287148 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 + 16 T + 364 T^{2} + 3728 T^{3} + 46390 T^{4} + 309424 T^{5} + 2507596 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 + 108 T^{2} - 1024 T^{3} + 4406 T^{4} - 84992 T^{5} + 744012 T^{6} + 47458321 T^{8} \))(\( 1 + 32 T + 572 T^{2} + 6816 T^{3} + 67382 T^{4} + 565728 T^{5} + 3940508 T^{6} + 18297184 T^{7} + 47458321 T^{8} \))(\( 1 + 32 T + 572 T^{2} + 6816 T^{3} + 67382 T^{4} + 565728 T^{5} + 3940508 T^{6} + 18297184 T^{7} + 47458321 T^{8} \))(\( 1 + 108 T^{2} - 1024 T^{3} + 4406 T^{4} - 84992 T^{5} + 744012 T^{6} + 47458321 T^{8} \))(\( 1 - 36 T + 828 T^{2} - 12824 T^{3} + 162351 T^{4} - 1696476 T^{5} + 16356400 T^{6} - 140807508 T^{7} + 1118436039 T^{8} - 7332596488 T^{9} + 39295489788 T^{10} - 141805463148 T^{11} + 326940373369 T^{12} \))(\( 1 - 12 T + 312 T^{2} - 3752 T^{3} + 53655 T^{4} - 497556 T^{5} + 5759336 T^{6} - 41297148 T^{7} + 369629295 T^{8} - 2145344824 T^{9} + 14806996152 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 12 T + 312 T^{2} - 3752 T^{3} + 53655 T^{4} - 497556 T^{5} + 5759336 T^{6} - 41297148 T^{7} + 369629295 T^{8} - 2145344824 T^{9} + 14806996152 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 36 T + 828 T^{2} - 12824 T^{3} + 162351 T^{4} - 1696476 T^{5} + 16356400 T^{6} - 140807508 T^{7} + 1118436039 T^{8} - 7332596488 T^{9} + 39295489788 T^{10} - 141805463148 T^{11} + 326940373369 T^{12} \))(\( 1 - 18 T + 564 T^{2} - 7342 T^{3} + 124527 T^{4} - 1207884 T^{5} + 14044832 T^{6} - 100254372 T^{7} + 857866503 T^{8} - 4198060154 T^{9} + 26766493044 T^{10} - 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 18 T + 144 T^{2} + 278 T^{3} + 1863 T^{4} + 77268 T^{5} + 1230136 T^{6} + 6413244 T^{7} + 12834207 T^{8} + 158956786 T^{9} + 6833998224 T^{10} + 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 18 T + 144 T^{2} + 278 T^{3} + 1863 T^{4} + 77268 T^{5} + 1230136 T^{6} + 6413244 T^{7} + 12834207 T^{8} + 158956786 T^{9} + 6833998224 T^{10} + 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 - 18 T + 564 T^{2} - 7342 T^{3} + 124527 T^{4} - 1207884 T^{5} + 14044832 T^{6} - 100254372 T^{7} + 857866503 T^{8} - 4198060154 T^{9} + 26766493044 T^{10} - 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 16 T + 472 T^{2} + 6416 T^{3} + 103836 T^{4} + 1252624 T^{5} + 14576552 T^{6} + 154484624 T^{7} + 1433373542 T^{8} + 12822223792 T^{9} + 100417866728 T^{10} + 716234119088 T^{11} + 4927882219356 T^{12} + 25272884765488 T^{13} + 154315856230168 T^{14} + 434176815834032 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 16 T + 472 T^{2} + 6416 T^{3} + 103836 T^{4} + 1252624 T^{5} + 14576552 T^{6} + 154484624 T^{7} + 1433373542 T^{8} + 12822223792 T^{9} + 100417866728 T^{10} + 716234119088 T^{11} + 4927882219356 T^{12} + 25272884765488 T^{13} + 154315856230168 T^{14} + 434176815834032 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 32 T + 712 T^{2} - 11424 T^{3} + 154556 T^{4} - 1757344 T^{5} + 17989944 T^{6} - 170366240 T^{7} + 1571579174 T^{8} - 14140397920 T^{9} + 123932724216 T^{10} - 1004826453728 T^{11} + 7334968260476 T^{12} - 44999600305632 T^{13} + 232781545838728 T^{14} - 868353631668064 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 32 T + 712 T^{2} - 11424 T^{3} + 154556 T^{4} - 1757344 T^{5} + 17989944 T^{6} - 170366240 T^{7} + 1571579174 T^{8} - 14140397920 T^{9} + 123932724216 T^{10} - 1004826453728 T^{11} + 7334968260476 T^{12} - 44999600305632 T^{13} + 232781545838728 T^{14} - 868353631668064 T^{15} + 2252292232139041 T^{16} \))
$89$ (\( 1 + 9 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 4 T + 110 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 182 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 86 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 182 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 110 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 - 4 T - 18 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 - 4 T - 18 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 294 T^{2} + 2099 T^{3} + 26166 T^{4} + 95052 T^{5} + 704969 T^{6} \))(\( 1 + 258 T^{2} - 9 T^{3} + 22962 T^{4} + 704969 T^{6} \))(\( 1 + 258 T^{2} - 9 T^{3} + 22962 T^{4} + 704969 T^{6} \))(\( 1 + 12 T + 294 T^{2} + 2099 T^{3} + 26166 T^{4} + 95052 T^{5} + 704969 T^{6} \))(\( 1 - 6 T - 12 T^{2} + 1359 T^{3} - 1068 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 - 6 T + 240 T^{2} - 909 T^{3} + 21360 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 - 6 T + 240 T^{2} - 909 T^{3} + 21360 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 - 6 T - 12 T^{2} + 1359 T^{3} - 1068 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 - 8 T + 204 T^{2} - 1848 T^{3} + 23558 T^{4} - 164472 T^{5} + 1615884 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 92 T^{2} - 712 T^{3} - 6650 T^{4} - 63368 T^{5} + 728732 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 92 T^{2} - 712 T^{3} - 6650 T^{4} - 63368 T^{5} + 728732 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T + 204 T^{2} - 1848 T^{3} + 23558 T^{4} - 164472 T^{5} + 1615884 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 32 T + 684 T^{2} - 9568 T^{3} + 105414 T^{4} - 851552 T^{5} + 5417964 T^{6} - 22559008 T^{7} + 62742241 T^{8} \))(\( 1 + 24 T + 476 T^{2} + 6184 T^{3} + 68102 T^{4} + 550376 T^{5} + 3770396 T^{6} + 16919256 T^{7} + 62742241 T^{8} \))(\( 1 + 24 T + 476 T^{2} + 6184 T^{3} + 68102 T^{4} + 550376 T^{5} + 3770396 T^{6} + 16919256 T^{7} + 62742241 T^{8} \))(\( 1 - 32 T + 684 T^{2} - 9568 T^{3} + 105414 T^{4} - 851552 T^{5} + 5417964 T^{6} - 22559008 T^{7} + 62742241 T^{8} \))(\( 1 + 30 T + 804 T^{2} + 14112 T^{3} + 214314 T^{4} + 2575812 T^{5} + 26821321 T^{6} + 229247268 T^{7} + 1697581194 T^{8} + 9948522528 T^{9} + 50444761764 T^{10} + 167521783470 T^{11} + 496981290961 T^{12} \))(\( 1 + 18 T + 72 T^{2} - 184 T^{3} + 9558 T^{4} + 162288 T^{5} + 1438541 T^{6} + 14443632 T^{7} + 75708918 T^{8} - 129714296 T^{9} + 4517441352 T^{10} + 100513070082 T^{11} + 496981290961 T^{12} \))(\( 1 + 18 T + 72 T^{2} - 184 T^{3} + 9558 T^{4} + 162288 T^{5} + 1438541 T^{6} + 14443632 T^{7} + 75708918 T^{8} - 129714296 T^{9} + 4517441352 T^{10} + 100513070082 T^{11} + 496981290961 T^{12} \))(\( 1 + 30 T + 804 T^{2} + 14112 T^{3} + 214314 T^{4} + 2575812 T^{5} + 26821321 T^{6} + 229247268 T^{7} + 1697581194 T^{8} + 9948522528 T^{9} + 50444761764 T^{10} + 167521783470 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T + 234 T^{2} + 1812 T^{3} + 24834 T^{4} + 203460 T^{5} + 2454741 T^{6} + 18107940 T^{7} + 196710114 T^{8} + 1277403828 T^{9} + 14681684394 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T + 510 T^{2} - 4828 T^{3} + 109650 T^{4} - 815940 T^{5} + 12851449 T^{6} - 72618660 T^{7} + 868537650 T^{8} - 3403590332 T^{9} + 31998542910 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T + 510 T^{2} - 4828 T^{3} + 109650 T^{4} - 815940 T^{5} + 12851449 T^{6} - 72618660 T^{7} + 868537650 T^{8} - 3403590332 T^{9} + 31998542910 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T + 234 T^{2} + 1812 T^{3} + 24834 T^{4} + 203460 T^{5} + 2454741 T^{6} + 18107940 T^{7} + 196710114 T^{8} + 1277403828 T^{9} + 14681684394 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 48 T + 1336 T^{2} - 27152 T^{3} + 447772 T^{4} - 6265904 T^{5} + 76925192 T^{6} - 842609808 T^{7} + 8347840006 T^{8} - 74992272912 T^{9} + 609324445832 T^{10} - 4417268076976 T^{11} + 28094218737052 T^{12} - 151618382159248 T^{13} + 663967004723896 T^{14} - 2123104074985392 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 48 T + 1336 T^{2} - 27152 T^{3} + 447772 T^{4} - 6265904 T^{5} + 76925192 T^{6} - 842609808 T^{7} + 8347840006 T^{8} - 74992272912 T^{9} + 609324445832 T^{10} - 4417268076976 T^{11} + 28094218737052 T^{12} - 151618382159248 T^{13} + 663967004723896 T^{14} - 2123104074985392 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 440 T^{2} + 256 T^{3} + 98076 T^{4} + 68864 T^{5} + 14375048 T^{6} + 9357824 T^{7} + 1500983814 T^{8} + 832846336 T^{9} + 113864755208 T^{10} + 48546985216 T^{11} + 6153508028316 T^{12} + 1429519218944 T^{13} + 218671768022840 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 440 T^{2} + 256 T^{3} + 98076 T^{4} + 68864 T^{5} + 14375048 T^{6} + 9357824 T^{7} + 1500983814 T^{8} + 832846336 T^{9} + 113864755208 T^{10} + 48546985216 T^{11} + 6153508028316 T^{12} + 1429519218944 T^{13} + 218671768022840 T^{14} + 3936588805702081 T^{16} \))
$97$ (\( 1 + 4 T + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 3 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 16 T + 226 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 138 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 4 T - 18 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 138 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 226 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 2 T + 182 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 262 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 - 20 T + 262 T^{2} - 1940 T^{3} + 9409 T^{4} \))(\( 1 - 2 T + 182 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 219 T^{2} - 1140 T^{3} + 21243 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 - 18 T + 315 T^{2} - 3340 T^{3} + 30555 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 + 18 T + 315 T^{2} + 3340 T^{3} + 30555 T^{4} + 169362 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 219 T^{2} + 1140 T^{3} + 21243 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 195 T^{2} + 740 T^{3} + 18915 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 - 18 T + 387 T^{2} - 3628 T^{3} + 37539 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 + 18 T + 387 T^{2} + 3628 T^{3} + 37539 T^{4} + 169362 T^{5} + 912673 T^{6} \))(\( 1 - 6 T + 195 T^{2} - 740 T^{3} + 18915 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 - 8 T + 148 T^{2} - 1176 T^{3} + 23966 T^{4} - 114072 T^{5} + 1392532 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 388 T^{2} - 2296 T^{3} + 56446 T^{4} - 222712 T^{5} + 3650692 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 + 8 T + 388 T^{2} + 2296 T^{3} + 56446 T^{4} + 222712 T^{5} + 3650692 T^{6} + 7301384 T^{7} + 88529281 T^{8} \))(\( 1 + 8 T + 148 T^{2} + 1176 T^{3} + 23966 T^{4} + 114072 T^{5} + 1392532 T^{6} + 7301384 T^{7} + 88529281 T^{8} \))(\( 1 + 4 T + 384 T^{2} + 1148 T^{3} + 55686 T^{4} + 111356 T^{5} + 3613056 T^{6} + 3650692 T^{7} + 88529281 T^{8} \))(\( 1 - 16 T + 380 T^{2} - 4080 T^{3} + 53886 T^{4} - 395760 T^{5} + 3575420 T^{6} - 14602768 T^{7} + 88529281 T^{8} \))(\( 1 + 16 T + 380 T^{2} + 4080 T^{3} + 53886 T^{4} + 395760 T^{5} + 3575420 T^{6} + 14602768 T^{7} + 88529281 T^{8} \))(\( 1 - 4 T + 384 T^{2} - 1148 T^{3} + 55686 T^{4} - 111356 T^{5} + 3613056 T^{6} - 3650692 T^{7} + 88529281 T^{8} \))(\( 1 + 18 T + 450 T^{2} + 6030 T^{3} + 92259 T^{4} + 948888 T^{5} + 11199340 T^{6} + 92042136 T^{7} + 868064931 T^{8} + 5503418190 T^{9} + 39838176450 T^{10} + 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 + 30 T + 690 T^{2} + 11834 T^{3} + 172107 T^{4} + 2098080 T^{5} + 22162140 T^{6} + 203513760 T^{7} + 1619354763 T^{8} + 10800572282 T^{9} + 61085203890 T^{10} + 257620207710 T^{11} + 832972004929 T^{12} \))(\( 1 - 30 T + 690 T^{2} - 11834 T^{3} + 172107 T^{4} - 2098080 T^{5} + 22162140 T^{6} - 203513760 T^{7} + 1619354763 T^{8} - 10800572282 T^{9} + 61085203890 T^{10} - 257620207710 T^{11} + 832972004929 T^{12} \))(\( 1 - 18 T + 450 T^{2} - 6030 T^{3} + 92259 T^{4} - 948888 T^{5} + 11199340 T^{6} - 92042136 T^{7} + 868064931 T^{8} - 5503418190 T^{9} + 39838176450 T^{10} - 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 + 18 T + 378 T^{2} + 4738 T^{3} + 53259 T^{4} + 570108 T^{5} + 5034860 T^{6} + 55300476 T^{7} + 501113931 T^{8} + 4324244674 T^{9} + 33464068218 T^{10} + 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 + 18 T + 378 T^{2} + 4858 T^{3} + 75123 T^{4} + 764820 T^{5} + 8850396 T^{6} + 74187540 T^{7} + 706832307 T^{8} + 4433765434 T^{9} + 33464068218 T^{10} + 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 - 18 T + 378 T^{2} - 4858 T^{3} + 75123 T^{4} - 764820 T^{5} + 8850396 T^{6} - 74187540 T^{7} + 706832307 T^{8} - 4433765434 T^{9} + 33464068218 T^{10} - 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 - 18 T + 378 T^{2} - 4738 T^{3} + 53259 T^{4} - 570108 T^{5} + 5034860 T^{6} - 55300476 T^{7} + 501113931 T^{8} - 4324244674 T^{9} + 33464068218 T^{10} - 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 + 24 T + 504 T^{2} + 6648 T^{3} + 83652 T^{4} + 798856 T^{5} + 8751304 T^{6} + 80096232 T^{7} + 867875606 T^{8} + 7769334504 T^{9} + 82341019336 T^{10} + 729094302088 T^{11} + 7405651414212 T^{12} + 57088638028536 T^{13} + 419817890484216 T^{14} + 1939158827474712 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 24 T + 504 T^{2} - 6648 T^{3} + 83652 T^{4} - 798856 T^{5} + 8751304 T^{6} - 80096232 T^{7} + 867875606 T^{8} - 7769334504 T^{9} + 82341019336 T^{10} - 729094302088 T^{11} + 7405651414212 T^{12} - 57088638028536 T^{13} + 419817890484216 T^{14} - 1939158827474712 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 448 T^{2} - 48 T^{3} + 100964 T^{4} - 11824 T^{5} + 14945280 T^{6} - 1533216 T^{7} + 1649131990 T^{8} - 148721952 T^{9} + 140620139520 T^{10} - 10791445552 T^{11} + 8938270326884 T^{12} - 412192332336 T^{13} + 373171458208192 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 448 T^{2} + 48 T^{3} + 100964 T^{4} + 11824 T^{5} + 14945280 T^{6} + 1533216 T^{7} + 1649131990 T^{8} + 148721952 T^{9} + 140620139520 T^{10} + 10791445552 T^{11} + 8938270326884 T^{12} + 412192332336 T^{13} + 373171458208192 T^{14} + 7837433594376961 T^{16} \))
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