Properties

Label 5070.2
Level 5070
Weight 2
Dimension 154316
Nonzero newspaces 40
Sturm bound 2725632

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Defining parameters

Level: \( N \) = \( 5070 = 2 \cdot 3 \cdot 5 \cdot 13^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 40 \)
Sturm bound: \(2725632\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5070))\).

Total New Old
Modular forms 688704 154316 534388
Cusp forms 674113 154316 519797
Eisenstein series 14591 0 14591

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5070))\)

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
5070.2.a \(\chi_{5070}(1, \cdot)\) 5070.2.a.a 1 1
5070.2.a.b 1
5070.2.a.c 1
5070.2.a.d 1
5070.2.a.e 1
5070.2.a.f 1
5070.2.a.g 1
5070.2.a.h 1
5070.2.a.i 1
5070.2.a.j 1
5070.2.a.k 1
5070.2.a.l 1
5070.2.a.m 1
5070.2.a.n 1
5070.2.a.o 1
5070.2.a.p 1
5070.2.a.q 1
5070.2.a.r 1
5070.2.a.s 1
5070.2.a.t 1
5070.2.a.u 1
5070.2.a.v 1
5070.2.a.w 1
5070.2.a.x 1
5070.2.a.y 2
5070.2.a.z 2
5070.2.a.ba 2
5070.2.a.bb 2
5070.2.a.bc 2
5070.2.a.bd 2
5070.2.a.be 2
5070.2.a.bf 2
5070.2.a.bg 2
5070.2.a.bh 2
5070.2.a.bi 2
5070.2.a.bj 3
5070.2.a.bk 3
5070.2.a.bl 3
5070.2.a.bm 3
5070.2.a.bn 3
5070.2.a.bo 3
5070.2.a.bp 3
5070.2.a.bq 3
5070.2.a.br 3
5070.2.a.bs 3
5070.2.a.bt 3
5070.2.a.bu 3
5070.2.a.bv 3
5070.2.a.bw 3
5070.2.a.bx 3
5070.2.a.by 3
5070.2.a.bz 4
5070.2.a.ca 4
5070.2.b \(\chi_{5070}(1351, \cdot)\) 5070.2.b.a 2 1
5070.2.b.b 2
5070.2.b.c 2
5070.2.b.d 2
5070.2.b.e 2
5070.2.b.f 2
5070.2.b.g 2
5070.2.b.h 2
5070.2.b.i 2
5070.2.b.j 2
5070.2.b.k 2
5070.2.b.l 2
5070.2.b.m 2
5070.2.b.n 2
5070.2.b.o 4
5070.2.b.p 4
5070.2.b.q 4
5070.2.b.r 4
5070.2.b.s 6
5070.2.b.t 6
5070.2.b.u 6
5070.2.b.v 6
5070.2.b.w 6
5070.2.b.x 6
5070.2.b.y 6
5070.2.b.z 6
5070.2.b.ba 8
5070.2.e \(\chi_{5070}(2029, \cdot)\) n/a 154 1
5070.2.f \(\chi_{5070}(3379, \cdot)\) n/a 156 1
5070.2.i \(\chi_{5070}(991, \cdot)\) n/a 208 2
5070.2.j \(\chi_{5070}(577, \cdot)\) n/a 308 2
5070.2.l \(\chi_{5070}(677, \cdot)\) n/a 620 2
5070.2.n \(\chi_{5070}(239, \cdot)\) n/a 616 2
5070.2.p \(\chi_{5070}(1451, \cdot)\) n/a 416 2
5070.2.s \(\chi_{5070}(1013, \cdot)\) n/a 616 2
5070.2.t \(\chi_{5070}(3817, \cdot)\) n/a 308 2
5070.2.x \(\chi_{5070}(2389, \cdot)\) n/a 312 2
5070.2.y \(\chi_{5070}(529, \cdot)\) n/a 304 2
5070.2.bb \(\chi_{5070}(361, \cdot)\) n/a 208 2
5070.2.bd \(\chi_{5070}(427, \cdot)\) n/a 616 4
5070.2.be \(\chi_{5070}(23, \cdot)\) n/a 1232 4
5070.2.bh \(\chi_{5070}(1601, \cdot)\) n/a 816 4
5070.2.bj \(\chi_{5070}(89, \cdot)\) n/a 1232 4
5070.2.bl \(\chi_{5070}(653, \cdot)\) n/a 1232 4
5070.2.bn \(\chi_{5070}(1333, \cdot)\) n/a 616 4
5070.2.bo \(\chi_{5070}(391, \cdot)\) n/a 1488 12
5070.2.bq \(\chi_{5070}(259, \cdot)\) n/a 2160 12
5070.2.bt \(\chi_{5070}(79, \cdot)\) n/a 2208 12
5070.2.bu \(\chi_{5070}(181, \cdot)\) n/a 1488 12
5070.2.bw \(\chi_{5070}(61, \cdot)\) n/a 2880 24
5070.2.by \(\chi_{5070}(307, \cdot)\) n/a 4368 24
5070.2.ca \(\chi_{5070}(77, \cdot)\) n/a 8736 24
5070.2.cc \(\chi_{5070}(161, \cdot)\) n/a 5760 24
5070.2.ce \(\chi_{5070}(359, \cdot)\) n/a 8736 24
5070.2.cf \(\chi_{5070}(53, \cdot)\) n/a 8736 24
5070.2.ci \(\chi_{5070}(73, \cdot)\) n/a 4368 24
5070.2.ck \(\chi_{5070}(121, \cdot)\) n/a 2880 24
5070.2.cl \(\chi_{5070}(139, \cdot)\) n/a 4416 24
5070.2.co \(\chi_{5070}(49, \cdot)\) n/a 4320 24
5070.2.cq \(\chi_{5070}(67, \cdot)\) n/a 8736 48
5070.2.ct \(\chi_{5070}(107, \cdot)\) n/a 17472 48
5070.2.cu \(\chi_{5070}(59, \cdot)\) n/a 17472 48
5070.2.cw \(\chi_{5070}(11, \cdot)\) n/a 11712 48
5070.2.cy \(\chi_{5070}(17, \cdot)\) n/a 17472 48
5070.2.da \(\chi_{5070}(7, \cdot)\) n/a 8736 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(5070))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(5070)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(78))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(130))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(169))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(195))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(338))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(390))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(507))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(845))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1014))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1690))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2535))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{4} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{8} \))
$5$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{4} \))
$7$ (\( 1 + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( 1 + 3 T + 12 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 - 2 T - 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 3 T + 7 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( 1 + 2 T - 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 - 3 T + 12 T^{2} - 21 T^{3} + 49 T^{4} \))(\( 1 + 14 T^{2} + 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 14 T^{2} + 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 - 8 T + 40 T^{2} - 125 T^{3} + 280 T^{4} - 392 T^{5} + 343 T^{6} \))(\( 1 - 8 T + 40 T^{2} - 125 T^{3} + 280 T^{4} - 392 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 20 T^{2} + 27 T^{3} + 140 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 - 10 T + 52 T^{2} - 169 T^{3} + 364 T^{4} - 490 T^{5} + 343 T^{6} \))(\( 1 + 6 T + 26 T^{2} + 71 T^{3} + 182 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 26 T^{2} - 85 T^{3} + 182 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 8 T + 40 T^{2} + 125 T^{3} + 280 T^{4} + 392 T^{5} + 343 T^{6} \))(\( 1 + 8 T + 40 T^{2} + 125 T^{3} + 280 T^{4} + 392 T^{5} + 343 T^{6} \))(\( 1 + 14 T^{2} - 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 14 T^{2} - 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 6 T + 26 T^{2} + 85 T^{3} + 182 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 26 T^{2} - 71 T^{3} + 182 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 10 T + 52 T^{2} + 169 T^{3} + 364 T^{4} + 490 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 20 T^{2} - 27 T^{3} + 140 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 9 T^{2} + 22 T^{3} + 80 T^{4} + 154 T^{5} + 441 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 - 2 T + 9 T^{2} - 22 T^{3} + 80 T^{4} - 154 T^{5} + 441 T^{6} - 686 T^{7} + 2401 T^{8} \))(\( 1 - 5 T^{2} + 49 T^{4} \))(\( 1 - 5 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( ( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 5 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 49 T^{4} )^{2} \))(\( 1 - 15 T^{2} + 116 T^{4} - 735 T^{6} + 2401 T^{8} \))(\( 1 - 28 T^{2} + 392 T^{4} - 3381 T^{6} + 19208 T^{8} - 67228 T^{10} + 117649 T^{12} \))(\( 1 - 28 T^{2} + 392 T^{4} - 3381 T^{6} + 19208 T^{8} - 67228 T^{10} + 117649 T^{12} \))(\( 1 - 16 T^{2} + 160 T^{4} - 1189 T^{6} + 7840 T^{8} - 38416 T^{10} + 117649 T^{12} \))(\( 1 - 16 T^{2} + 160 T^{4} - 1189 T^{6} + 7840 T^{8} - 38416 T^{10} + 117649 T^{12} \))(\( 1 - 4 T^{2} + 52 T^{4} - 181 T^{6} + 2548 T^{8} - 9604 T^{10} + 117649 T^{12} \))(\( 1 - 36 T^{2} + 572 T^{4} - 5165 T^{6} + 28028 T^{8} - 86436 T^{10} + 117649 T^{12} \))(\( 1 - 16 T^{2} + 20 T^{4} + 603 T^{6} + 980 T^{8} - 38416 T^{10} + 117649 T^{12} \))(\( 1 - 16 T^{2} + 188 T^{4} - 1581 T^{6} + 9212 T^{8} - 38416 T^{10} + 117649 T^{12} \))(\( 1 - 14 T^{2} + 153 T^{4} - 1222 T^{6} + 9620 T^{8} - 59878 T^{10} + 367353 T^{12} - 1647086 T^{14} + 5764801 T^{16} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 19 T^{2} + 66 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 4 T + 23 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 5 T^{2} + 121 T^{4} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 23 T^{2} + 44 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 6 T + 19 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 5 T^{2} + 121 T^{4} \))(\( 1 - 2 T + 18 T^{2} - 57 T^{3} + 198 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 - 14 T + 96 T^{2} - 399 T^{3} + 1056 T^{4} - 1694 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 18 T^{2} + 15 T^{3} + 198 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 32 T^{2} - 43 T^{3} + 352 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} - 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 - 8 T + 52 T^{2} - 189 T^{3} + 572 T^{4} - 968 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} - 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 + 12 T^{2} + 7 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 + 2 T + 32 T^{2} + 43 T^{3} + 352 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 18 T^{2} - 15 T^{3} + 198 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 + 14 T + 96 T^{2} + 399 T^{3} + 1056 T^{4} + 1694 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 18 T^{2} + 57 T^{3} + 198 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 + 12 T^{2} - 7 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 + 26 T^{2} + 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 + 8 T + 52 T^{2} + 189 T^{3} + 572 T^{4} + 968 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} + 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 - 2 T + 10 T^{2} - 4 T^{3} + 159 T^{4} - 44 T^{5} + 1210 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 10 T^{2} + 4 T^{3} + 159 T^{4} + 44 T^{5} + 1210 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 - 21 T^{2} + 121 T^{4} \))(\( 1 - 13 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 21 T^{2} + 121 T^{4} \))(\( 1 + 3 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 13 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 13 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 2 T^{2} - 189 T^{4} - 242 T^{6} + 14641 T^{8} \))(\( 1 - 30 T^{2} + 419 T^{4} - 3630 T^{6} + 14641 T^{8} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 5 T^{2} + 121 T^{4} )^{2} \))(\( 1 + 4 T^{2} + 156 T^{4} + 1219 T^{6} + 18876 T^{8} + 58564 T^{10} + 1771561 T^{12} \))(\( 1 - 32 T^{2} + 492 T^{4} - 5573 T^{6} + 59532 T^{8} - 468512 T^{10} + 1771561 T^{12} \))(\( 1 - 60 T^{2} + 1556 T^{4} - 22373 T^{6} + 188276 T^{8} - 878460 T^{10} + 1771561 T^{12} \))(\( 1 - 32 T^{2} + 660 T^{4} - 8597 T^{6} + 79860 T^{8} - 468512 T^{10} + 1771561 T^{12} \))(\( 1 - 40 T^{2} + 824 T^{4} - 10941 T^{6} + 99704 T^{8} - 585640 T^{10} + 1771561 T^{12} \))(\( 1 - 52 T^{2} + 1248 T^{4} - 17485 T^{6} + 151008 T^{8} - 761332 T^{10} + 1771561 T^{12} \))(\( 1 - 24 T^{2} + 408 T^{4} - 5781 T^{6} + 49368 T^{8} - 351384 T^{10} + 1771561 T^{12} \))(\( 1 - 52 T^{2} + 1248 T^{4} - 17485 T^{6} + 151008 T^{8} - 761332 T^{10} + 1771561 T^{12} \))(\( 1 - 16 T^{2} + 402 T^{4} - 5408 T^{6} + 67763 T^{8} - 654368 T^{10} + 5885682 T^{12} - 28344976 T^{14} + 214358881 T^{16} \))
$13$ 1
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 68 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 263 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 5 T^{2} - 5 T^{3} + 85 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - T + 49 T^{2} - 33 T^{3} + 833 T^{4} - 289 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 5 T^{2} - 37 T^{3} + 85 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 5 T^{2} - 5 T^{3} + 85 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 263 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 5 T^{2} - 37 T^{3} + 85 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 - T + 49 T^{2} - 33 T^{3} + 833 T^{4} - 289 T^{5} + 4913 T^{6} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))(\( ( 1 - 4 T + 30 T^{2} - 68 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 18 T^{2} + 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 3 T + 47 T^{2} + 89 T^{3} + 799 T^{4} + 867 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 3 T + 47 T^{2} + 89 T^{3} + 799 T^{4} + 867 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 3 T + 5 T^{2} + 5 T^{3} + 85 T^{4} + 867 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 9 T + 57 T^{2} - 263 T^{3} + 969 T^{4} - 2601 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 3 T + 5 T^{2} + 37 T^{3} + 85 T^{4} - 867 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + T + 49 T^{2} + 33 T^{3} + 833 T^{4} + 289 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 7 T + 51 T^{2} - 231 T^{3} + 867 T^{4} - 2023 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 7 T + 51 T^{2} - 231 T^{3} + 867 T^{4} - 2023 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{8} \))
$19$ (\( 1 + 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 8 T + 42 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 26 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 51 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 - 3 T + 36 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( 1 + 8 T + 51 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 26 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 42 T^{2} - 152 T^{3} + 361 T^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( 1 + 3 T + 36 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 + 5 T + 63 T^{2} + 191 T^{3} + 1197 T^{4} + 1805 T^{5} + 6859 T^{6} \))(\( 1 - 7 T + 29 T^{2} - 63 T^{3} + 551 T^{4} - 2527 T^{5} + 6859 T^{6} \))(\( 1 - T + 41 T^{2} - 51 T^{3} + 779 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 + 3 T + 39 T^{2} + 87 T^{3} + 741 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 + 9 T + 63 T^{2} + 299 T^{3} + 1197 T^{4} + 3249 T^{5} + 6859 T^{6} \))(\( 1 - 11 T + 53 T^{2} - 207 T^{3} + 1007 T^{4} - 3971 T^{5} + 6859 T^{6} \))(\( 1 - T + 41 T^{2} - 51 T^{3} + 779 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 - 13 T + 111 T^{2} - 565 T^{3} + 2109 T^{4} - 4693 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 39 T^{2} - 87 T^{3} + 741 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + T + 41 T^{2} + 51 T^{3} + 779 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + 7 T + 29 T^{2} + 63 T^{3} + 551 T^{4} + 2527 T^{5} + 6859 T^{6} \))(\( 1 - 5 T + 63 T^{2} - 191 T^{3} + 1197 T^{4} - 1805 T^{5} + 6859 T^{6} \))(\( 1 + 13 T + 111 T^{2} + 565 T^{3} + 2109 T^{4} + 4693 T^{5} + 6859 T^{6} \))(\( 1 + T + 41 T^{2} + 51 T^{3} + 779 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + 11 T + 53 T^{2} + 207 T^{3} + 1007 T^{4} + 3971 T^{5} + 6859 T^{6} \))(\( 1 - 9 T + 63 T^{2} - 299 T^{3} + 1197 T^{4} - 3249 T^{5} + 6859 T^{6} \))(\( 1 + 13 T^{2} + 72 T^{3} + 240 T^{4} + 1368 T^{5} + 4693 T^{6} + 130321 T^{8} \))(\( 1 + 13 T^{2} - 72 T^{3} + 240 T^{4} - 1368 T^{5} + 4693 T^{6} + 130321 T^{8} \))(\( 1 - 13 T^{2} + 361 T^{4} \))(\( 1 - 29 T^{2} + 361 T^{4} \))(\( ( 1 - 19 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 2 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 2 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 13 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} \))(\( 1 - 38 T^{2} + 891 T^{4} - 13718 T^{6} + 130321 T^{8} \))(\( ( 1 - 30 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 63 T^{2} + 1676 T^{4} - 22743 T^{6} + 130321 T^{8} \))(\( 1 - 9 T^{2} + 1061 T^{4} - 6329 T^{6} + 383021 T^{8} - 1172889 T^{10} + 47045881 T^{12} \))(\( 1 - 101 T^{2} + 4453 T^{4} - 110009 T^{6} + 1607533 T^{8} - 13162421 T^{10} + 47045881 T^{12} \))(\( 1 - 69 T^{2} + 2481 T^{4} - 57449 T^{6} + 895641 T^{8} - 8992149 T^{10} + 47045881 T^{12} \))(\( 1 - 81 T^{2} + 3137 T^{4} - 74273 T^{6} + 1132457 T^{8} - 10556001 T^{10} + 47045881 T^{12} \))(\( 1 + 15 T^{2} + 269 T^{4} + 9751 T^{6} + 97109 T^{8} + 1954815 T^{10} + 47045881 T^{12} \))(\( 1 - 45 T^{2} + 981 T^{4} - 16657 T^{6} + 354141 T^{8} - 5864445 T^{10} + 47045881 T^{12} \))(\( 1 - 53 T^{2} + 1849 T^{4} - 40673 T^{6} + 667489 T^{8} - 6907013 T^{10} + 47045881 T^{12} \))(\( 1 - 81 T^{2} + 3137 T^{4} - 74273 T^{6} + 1132457 T^{8} - 10556001 T^{10} + 47045881 T^{12} \))(\( 1 - 26 T^{2} + 649 T^{4} - 10442 T^{6} + 243268 T^{8} - 3769562 T^{10} + 84578329 T^{12} - 1223192906 T^{14} + 16983563041 T^{16} \))
$23$ (\( 1 - 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 47 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 10 T + 58 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 + 3 T + 10 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 - 2 T + 30 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 - 10 T + 58 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 47 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 30 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 3 T + 10 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 3 T + 51 T^{2} - 111 T^{3} + 1173 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 5 T - 9 T^{2} - 189 T^{3} - 207 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 + T + 67 T^{2} + 45 T^{3} + 1541 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - 11 T + 79 T^{2} - 393 T^{3} + 1817 T^{4} - 5819 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 9 T + 89 T^{2} + 427 T^{3} + 2047 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 125 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 11 T + 79 T^{2} - 393 T^{3} + 1817 T^{4} - 5819 T^{5} + 12167 T^{6} \))(\( 1 + T + 67 T^{2} + 45 T^{3} + 1541 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 + 5 T - 9 T^{2} - 189 T^{3} - 207 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 51 T^{2} - 111 T^{3} + 1173 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 125 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 9 T + 89 T^{2} + 427 T^{3} + 2047 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 49 T^{2} - 260 T^{3} + 1248 T^{4} - 5980 T^{5} + 25921 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 49 T^{2} - 260 T^{3} + 1248 T^{4} - 5980 T^{5} + 25921 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 6 T + 23 T^{2} )^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( ( 1 - 3 T + 23 T^{2} )^{2} \))(\( ( 1 - T + 23 T^{2} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 3 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 47 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 3 T + 10 T^{2} - 69 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 5 T - 9 T^{2} + 189 T^{3} - 207 T^{4} - 2645 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 3 T + 51 T^{2} + 111 T^{3} + 1173 T^{4} + 1587 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 11 T + 79 T^{2} + 393 T^{3} + 1817 T^{4} + 5819 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 - T + 67 T^{2} - 45 T^{3} + 1541 T^{4} - 529 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} - 427 T^{3} + 2047 T^{4} - 4761 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 3 T + 65 T^{2} + 139 T^{3} + 1495 T^{4} + 1587 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 3 T + 65 T^{2} + 125 T^{3} + 1495 T^{4} + 1587 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 3 T + 65 T^{2} + 139 T^{3} + 1495 T^{4} + 1587 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 4 T + 49 T^{2} + 260 T^{3} + 1248 T^{4} + 5980 T^{5} + 25921 T^{6} + 48668 T^{7} + 279841 T^{8} )^{2} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 4 T + 59 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 50 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 74 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 86 T^{2} + 348 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 + 4 T + 50 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 59 T^{2} - 116 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 9 T + 74 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 10 T + 104 T^{2} + 539 T^{3} + 3016 T^{4} + 8410 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 72 T^{2} - 319 T^{3} + 2088 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 20 T^{2} - 7 T^{3} + 580 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 44 T^{2} + 11 T^{3} + 1276 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 6 T + 92 T^{2} - 349 T^{3} + 2668 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 + 24 T^{2} + 189 T^{3} + 696 T^{4} + 24389 T^{6} \))(\( 1 - 4 T^{2} - 203 T^{3} - 116 T^{4} + 24389 T^{6} \))(\( 1 + 14 T + 136 T^{2} + 819 T^{3} + 3944 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 44 T^{2} + 11 T^{3} + 1276 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 20 T^{2} - 7 T^{3} + 580 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 72 T^{2} - 319 T^{3} + 2088 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 10 T + 104 T^{2} + 539 T^{3} + 3016 T^{4} + 8410 T^{5} + 24389 T^{6} \))(\( 1 + 14 T + 136 T^{2} + 819 T^{3} + 3944 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 4 T^{2} - 203 T^{3} - 116 T^{4} + 24389 T^{6} \))(\( 1 + 24 T^{2} + 189 T^{3} + 696 T^{4} + 24389 T^{6} \))(\( 1 - 6 T + 92 T^{2} - 349 T^{3} + 2668 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 - 8 T + 77 T^{2} - 548 T^{3} + 3160 T^{4} - 15892 T^{5} + 64757 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 77 T^{2} - 548 T^{3} + 3160 T^{4} - 15892 T^{5} + 64757 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 10 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + T + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 59 T^{2} - 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T + 50 T^{2} + 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 12 T + 86 T^{2} + 348 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 9 T + 74 T^{2} - 261 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 319 T^{3} + 2088 T^{4} - 10092 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 10 T + 104 T^{2} + 539 T^{3} + 3016 T^{4} + 8410 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 2 T + 44 T^{2} + 11 T^{3} + 1276 T^{4} - 1682 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 4 T + 20 T^{2} - 7 T^{3} + 580 T^{4} + 3364 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 24 T^{2} + 189 T^{3} + 696 T^{4} + 24389 T^{6} )^{2} \))(\( ( 1 - 6 T + 92 T^{2} - 349 T^{3} + 2668 T^{4} - 5046 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 14 T + 136 T^{2} + 819 T^{3} + 3944 T^{4} + 11774 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 4 T^{2} - 203 T^{3} - 116 T^{4} + 24389 T^{6} )^{2} \))(\( ( 1 - 8 T + 77 T^{2} - 548 T^{3} + 3160 T^{4} - 15892 T^{5} + 64757 T^{6} - 195112 T^{7} + 707281 T^{8} )^{2} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 59 T^{2} + 961 T^{4} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( 1 + 4 T + 18 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - T + 24 T^{2} - 31 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 2 T + 46 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( 1 + 59 T^{2} + 961 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + T + 24 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 96 T^{2} + 247 T^{3} + 2976 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 - 14 T + 128 T^{2} - 861 T^{3} + 3968 T^{4} - 13454 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 78 T^{2} + 137 T^{3} + 2418 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 86 T^{2} - 7 T^{3} + 2666 T^{4} + 29791 T^{6} \))(\( 1 + 10 T + 124 T^{2} + 649 T^{3} + 3844 T^{4} + 9610 T^{5} + 29791 T^{6} \))(\( 1 - 16 T + 176 T^{2} - 1131 T^{3} + 5456 T^{4} - 15376 T^{5} + 29791 T^{6} \))(\( 1 + 16 T + 162 T^{2} + 1075 T^{3} + 5022 T^{4} + 15376 T^{5} + 29791 T^{6} \))(\( 1 - 10 T + 110 T^{2} - 621 T^{3} + 3410 T^{4} - 9610 T^{5} + 29791 T^{6} \))(\( 1 + 86 T^{2} + 7 T^{3} + 2666 T^{4} + 29791 T^{6} \))(\( 1 - 2 T + 78 T^{2} - 137 T^{3} + 2418 T^{4} - 1922 T^{5} + 29791 T^{6} \))(\( 1 + 14 T + 128 T^{2} + 861 T^{3} + 3968 T^{4} + 13454 T^{5} + 29791 T^{6} \))(\( 1 - 4 T + 96 T^{2} - 247 T^{3} + 2976 T^{4} - 3844 T^{5} + 29791 T^{6} \))(\( 1 + 10 T + 110 T^{2} + 621 T^{3} + 3410 T^{4} + 9610 T^{5} + 29791 T^{6} \))(\( 1 - 16 T + 162 T^{2} - 1075 T^{3} + 5022 T^{4} - 15376 T^{5} + 29791 T^{6} \))(\( 1 + 16 T + 176 T^{2} + 1131 T^{3} + 5456 T^{4} + 15376 T^{5} + 29791 T^{6} \))(\( 1 - 10 T + 124 T^{2} - 649 T^{3} + 3844 T^{4} - 9610 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 45 T^{2} - 184 T^{3} - 88 T^{4} - 5704 T^{5} + 43245 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 - 4 T + 45 T^{2} + 184 T^{3} - 88 T^{4} + 5704 T^{5} + 43245 T^{6} - 119164 T^{7} + 923521 T^{8} \))(\( 1 + 38 T^{2} + 961 T^{4} \))(\( 1 - 26 T^{2} + 961 T^{4} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 961 T^{4} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( 1 - 46 T^{2} + 961 T^{4} \))(\( 1 - 53 T^{2} + 961 T^{4} \))(\( 1 + 59 T^{2} + 961 T^{4} \))(\( 1 + 2 T^{2} + 961 T^{4} \))(\( 1 - 37 T^{2} + 961 T^{4} \))(\( 1 + 2 T^{2} + 961 T^{4} \))(\( 1 - 58 T^{2} + 961 T^{4} \))(\( 1 + 2 T^{2} + 961 T^{4} \))(\( 1 - 46 T^{2} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2} \))(\( 1 - 20 T^{2} + 1254 T^{4} - 19220 T^{6} + 923521 T^{8} \))(\( ( 1 - 46 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 47 T^{2} + 2436 T^{4} - 45167 T^{6} + 923521 T^{8} \))(\( 1 - 60 T^{2} + 212 T^{4} + 42643 T^{6} + 203732 T^{8} - 55411260 T^{10} + 887503681 T^{12} \))(\( 1 - 176 T^{2} + 13192 T^{4} - 539213 T^{6} + 12677512 T^{8} - 162539696 T^{10} + 887503681 T^{12} \))(\( 1 - 172 T^{2} + 12728 T^{4} - 518085 T^{6} + 12231608 T^{8} - 158845612 T^{10} + 887503681 T^{12} \))(\( 1 - 152 T^{2} + 10372 T^{4} - 410333 T^{6} + 9967492 T^{8} - 140375192 T^{10} + 887503681 T^{12} \))(\( 1 - 96 T^{2} + 5696 T^{4} - 208901 T^{6} + 5473856 T^{8} - 88658016 T^{10} + 887503681 T^{12} \))(\( 1 - 148 T^{2} + 10084 T^{4} - 399493 T^{6} + 9690724 T^{8} - 136681108 T^{10} + 887503681 T^{12} \))(\( 1 - 120 T^{2} + 6500 T^{4} - 231941 T^{6} + 6246500 T^{8} - 110822520 T^{10} + 887503681 T^{12} \))(\( 1 - 68 T^{2} + 1888 T^{4} - 39053 T^{6} + 1814368 T^{8} - 62799428 T^{10} + 887503681 T^{12} \))(\( 1 - 74 T^{2} + 3321 T^{4} - 90346 T^{6} + 2694452 T^{8} - 86822506 T^{10} + 3067013241 T^{12} - 65675272394 T^{14} + 852891037441 T^{16} \))
$37$ (\( 1 - 10 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 8 T + 63 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 26 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 27 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 57 T^{2} + 1369 T^{4} \))(\( 1 - 12 T + 78 T^{2} - 444 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 58 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 27 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 26 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 63 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 58 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 57 T^{2} + 1369 T^{4} \))(\( 1 - 2 T + 110 T^{2} - 147 T^{3} + 4070 T^{4} - 2738 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 86 T^{2} + 225 T^{3} + 3182 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 142 T^{2} + 769 T^{3} + 5254 T^{4} + 13690 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 18 T^{2} - 151 T^{3} + 666 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 116 T^{2} + 591 T^{3} + 4292 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 100 T^{2} - 517 T^{3} + 3700 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 + 20 T + 200 T^{2} + 1383 T^{3} + 7400 T^{4} + 27380 T^{5} + 50653 T^{6} \))(\( 1 - 6 T + 60 T^{2} - 137 T^{3} + 2220 T^{4} - 8214 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 18 T^{2} + 151 T^{3} + 666 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 142 T^{2} - 769 T^{3} + 5254 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 86 T^{2} - 225 T^{3} + 3182 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 2 T + 110 T^{2} + 147 T^{3} + 4070 T^{4} + 2738 T^{5} + 50653 T^{6} \))(\( 1 + 6 T + 60 T^{2} + 137 T^{3} + 2220 T^{4} + 8214 T^{5} + 50653 T^{6} \))(\( 1 - 20 T + 200 T^{2} - 1383 T^{3} + 7400 T^{4} - 27380 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 100 T^{2} + 517 T^{3} + 3700 T^{4} + 13690 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 116 T^{2} - 591 T^{3} + 4292 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 114 T^{2} - 680 T^{3} + 4895 T^{4} - 25160 T^{5} + 156066 T^{6} - 506530 T^{7} + 1874161 T^{8} \))(\( 1 + 10 T + 114 T^{2} + 680 T^{3} + 4895 T^{4} + 25160 T^{5} + 156066 T^{6} + 506530 T^{7} + 1874161 T^{8} \))(\( 1 - 73 T^{2} + 1369 T^{4} \))(\( 1 + 7 T^{2} + 1369 T^{4} \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( 1 - 49 T^{2} + 1369 T^{4} \))(\( 1 - 65 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 62 T^{2} + 1971 T^{4} - 84878 T^{6} + 1874161 T^{8} \))(\( 1 - 50 T^{2} + 3171 T^{4} - 68450 T^{6} + 1874161 T^{8} \))(\( 1 - 12 T^{2} - 1834 T^{4} - 16428 T^{6} + 1874161 T^{8} \))(\( ( 1 - 57 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 156 T^{2} + 11960 T^{4} - 554177 T^{6} + 16373240 T^{8} - 292369116 T^{10} + 2565726409 T^{12} \))(\( 1 - 216 T^{2} + 19652 T^{4} - 964145 T^{6} + 26903588 T^{8} - 404818776 T^{10} + 2565726409 T^{12} \))(\( 1 + 28 T^{2} + 4072 T^{4} + 72751 T^{6} + 5574568 T^{8} + 52476508 T^{10} + 2565726409 T^{12} \))(\( 1 - 184 T^{2} + 15292 T^{4} - 728281 T^{6} + 20934748 T^{8} - 344845624 T^{10} + 2565726409 T^{12} \))(\( 1 - 100 T^{2} + 7060 T^{4} - 300217 T^{6} + 9665140 T^{8} - 187416100 T^{10} + 2565726409 T^{12} \))(\( 1 - 168 T^{2} + 12584 T^{4} - 572537 T^{6} + 17227496 T^{8} - 314859048 T^{10} + 2565726409 T^{12} \))(\( 1 - 84 T^{2} + 6396 T^{4} - 250369 T^{6} + 8756124 T^{8} - 157429524 T^{10} + 2565726409 T^{12} \))(\( 1 - 520 T^{4} - 53417 T^{6} - 711880 T^{8} + 2565726409 T^{12} \))(\( 1 - 128 T^{2} + 9186 T^{4} - 462592 T^{6} + 18944195 T^{8} - 633288448 T^{10} + 17216042946 T^{12} - 328412980352 T^{14} + 3512479453921 T^{16} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( 1 - 8 T + 46 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( 1 + 8 T + 30 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 90 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( 1 + 8 T + 46 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( 1 + 10 T + 90 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 30 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 + 17 T + 175 T^{2} + 1227 T^{3} + 7175 T^{4} + 28577 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 121 T^{2} - 927 T^{3} + 4961 T^{4} - 21853 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 129 T^{2} + 411 T^{3} + 5289 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 163 T^{2} - 1095 T^{3} + 6683 T^{4} - 21853 T^{5} + 68921 T^{6} \))(\( 1 - 3 T + 105 T^{2} - 233 T^{3} + 4305 T^{4} - 5043 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 87 T^{2} - 243 T^{3} + 3567 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 + 17 T + 203 T^{2} + 1507 T^{3} + 8323 T^{4} + 28577 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 105 T^{2} + 233 T^{3} + 4305 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 + 13 T + 163 T^{2} + 1095 T^{3} + 6683 T^{4} + 21853 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 129 T^{2} - 411 T^{3} + 5289 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 + 13 T + 121 T^{2} + 927 T^{3} + 4961 T^{4} + 21853 T^{5} + 68921 T^{6} \))(\( 1 - 17 T + 175 T^{2} - 1227 T^{3} + 7175 T^{4} - 28577 T^{5} + 68921 T^{6} \))(\( 1 - 3 T + 105 T^{2} - 233 T^{3} + 4305 T^{4} - 5043 T^{5} + 68921 T^{6} \))(\( 1 - 17 T + 203 T^{2} - 1507 T^{3} + 8323 T^{4} - 28577 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 87 T^{2} + 243 T^{3} + 3567 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 105 T^{2} + 233 T^{3} + 4305 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 + 4 T + 88 T^{2} + 332 T^{3} + 4686 T^{4} + 13612 T^{5} + 147928 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T + 88 T^{2} - 332 T^{3} + 4686 T^{4} - 13612 T^{5} + 147928 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( ( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} ) \))(\( 1 - 78 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 78 T^{2} + 1681 T^{4} \))(\( ( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} ) \))(\( ( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} ) \))(\( 1 - 78 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( ( 1 - 78 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 66 T^{2} + 1681 T^{4} )^{2} \))(\( 1 - 92 T^{2} + 4966 T^{4} - 154652 T^{6} + 2825761 T^{8} \))(\( 1 + 4 T^{2} - 986 T^{4} + 6724 T^{6} + 2825761 T^{8} \))(\( 1 - 73 T^{2} + 461 T^{4} + 89103 T^{6} + 774941 T^{8} - 206280553 T^{10} + 4750104241 T^{12} \))(\( 1 - 61 T^{2} + 3257 T^{4} - 171945 T^{6} + 5475017 T^{8} - 172371421 T^{10} + 4750104241 T^{12} \))(\( 1 - 157 T^{2} + 11465 T^{4} - 549297 T^{6} + 19272665 T^{8} - 443644477 T^{10} + 4750104241 T^{12} \))(\( 1 - 233 T^{2} + 23109 T^{4} - 1249433 T^{6} + 38846229 T^{8} - 658402313 T^{10} + 4750104241 T^{12} \))(\( 1 - 149 T^{2} + 12273 T^{4} - 615401 T^{6} + 20630913 T^{8} - 421038389 T^{10} + 4750104241 T^{12} \))(\( 1 - 201 T^{2} + 18237 T^{4} - 957345 T^{6} + 30656397 T^{8} - 567977961 T^{10} + 4750104241 T^{12} \))(\( 1 - 201 T^{2} + 18237 T^{4} - 957345 T^{6} + 30656397 T^{8} - 567977961 T^{10} + 4750104241 T^{12} \))(\( 1 - 117 T^{2} + 6617 T^{4} - 274313 T^{6} + 11123177 T^{8} - 330614037 T^{10} + 4750104241 T^{12} \))(\( 1 - 160 T^{2} + 14460 T^{4} - 901472 T^{6} + 42401606 T^{8} - 1515374432 T^{10} + 40860504060 T^{12} - 760016678560 T^{14} + 7984925229121 T^{16} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 10 T + 63 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( 1 - 5 T + 88 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 + 10 T + 63 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 5 T + 88 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 - 19 T + 219 T^{2} - 1747 T^{3} + 9417 T^{4} - 35131 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 389 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 + 9 T + 107 T^{2} + 703 T^{3} + 4601 T^{4} + 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 431 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - T + 99 T^{2} - 127 T^{3} + 4257 T^{4} - 1849 T^{5} + 79507 T^{6} \))(\( 1 + 3 T + 69 T^{2} + 385 T^{3} + 2967 T^{4} + 5547 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 107 T^{2} - 605 T^{3} + 4601 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 149 T^{2} - 773 T^{3} + 6407 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 431 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 + 9 T + 107 T^{2} + 703 T^{3} + 4601 T^{4} + 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 389 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - 19 T + 219 T^{2} - 1747 T^{3} + 9417 T^{4} - 35131 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 149 T^{2} - 773 T^{3} + 6407 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 107 T^{2} - 605 T^{3} + 4601 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 + 3 T + 69 T^{2} + 385 T^{3} + 2967 T^{4} + 5547 T^{5} + 79507 T^{6} \))(\( 1 - T + 99 T^{2} - 127 T^{3} + 4257 T^{4} - 1849 T^{5} + 79507 T^{6} \))(\( 1 - 14 T + 129 T^{2} - 970 T^{3} + 6824 T^{4} - 41710 T^{5} + 238521 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 - 14 T + 129 T^{2} - 970 T^{3} + 6824 T^{4} - 41710 T^{5} + 238521 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 + 12 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 63 T^{2} - 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 5 T + 88 T^{2} + 215 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 5 T + 121 T^{2} - 389 T^{3} + 5203 T^{4} - 9245 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 19 T + 219 T^{2} + 1747 T^{3} + 9417 T^{4} + 35131 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 5 T + 121 T^{2} - 431 T^{3} + 5203 T^{4} - 9245 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 9 T + 107 T^{2} - 703 T^{3} + 4601 T^{4} - 16641 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 3 T + 69 T^{2} - 385 T^{3} + 2967 T^{4} - 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + T + 99 T^{2} + 127 T^{3} + 4257 T^{4} + 1849 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 9 T + 149 T^{2} + 773 T^{3} + 6407 T^{4} + 16641 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 9 T + 107 T^{2} + 605 T^{3} + 4601 T^{4} + 16641 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 14 T + 129 T^{2} + 970 T^{3} + 6824 T^{4} + 41710 T^{5} + 238521 T^{6} + 1113098 T^{7} + 3418801 T^{8} )^{2} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 14 T + 131 T^{2} + 658 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 91 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( ( 1 + 7 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 4 T + 30 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 91 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 46 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 14 T + 131 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 - 7 T + 47 T^{2} )^{2} \))(\( 1 + 7 T + 92 T^{2} + 371 T^{3} + 4324 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 - 21 T + 260 T^{2} - 2177 T^{3} + 12220 T^{4} - 46389 T^{5} + 103823 T^{6} \))(\( 1 + 21 T + 260 T^{2} + 2065 T^{3} + 12220 T^{4} + 46389 T^{5} + 103823 T^{6} \))(\( 1 - 7 T - 20 T^{2} + 525 T^{3} - 940 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 - 7 T + 148 T^{2} - 651 T^{3} + 6956 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 32 T^{2} + 277 T^{3} + 1504 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 7 T + 92 T^{2} + 707 T^{3} + 4324 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( ( 1 - 7 T + 47 T^{2} )^{3} \))(\( 1 + 7 T - 20 T^{2} - 525 T^{3} - 940 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 - 21 T + 260 T^{2} - 2065 T^{3} + 12220 T^{4} - 46389 T^{5} + 103823 T^{6} \))(\( 1 + 21 T + 260 T^{2} + 2177 T^{3} + 12220 T^{4} + 46389 T^{5} + 103823 T^{6} \))(\( 1 - 7 T + 92 T^{2} - 371 T^{3} + 4324 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( ( 1 + 7 T + 47 T^{2} )^{3} \))(\( 1 - 7 T + 92 T^{2} - 707 T^{3} + 4324 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 32 T^{2} - 277 T^{3} + 1504 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 + 7 T + 148 T^{2} + 651 T^{3} + 6956 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 + 8 T + 106 T^{2} + 352 T^{3} + 4443 T^{4} + 16544 T^{5} + 234154 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 106 T^{2} - 352 T^{3} + 4443 T^{4} - 16544 T^{5} + 234154 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 66 T^{2} + 3155 T^{4} - 145794 T^{6} + 4879681 T^{8} \))(\( 1 - 146 T^{2} + 9315 T^{4} - 322514 T^{6} + 4879681 T^{8} \))(\( ( 1 - 30 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 45 T^{2} + 2209 T^{4} )^{2} \))(\( 1 - 79 T^{2} + 606 T^{4} + 125621 T^{6} + 1338654 T^{8} - 385494799 T^{10} + 10779215329 T^{12} \))(\( 1 - 135 T^{2} + 11918 T^{4} - 649139 T^{6} + 26326862 T^{8} - 658756935 T^{10} + 10779215329 T^{12} \))(\( 1 + 89 T^{2} + 5870 T^{4} + 246861 T^{6} + 12966830 T^{8} + 434291609 T^{10} + 10779215329 T^{12} \))(\( 1 - 79 T^{2} + 5310 T^{4} - 349483 T^{6} + 11729790 T^{8} - 385494799 T^{10} + 10779215329 T^{12} \))(\( 1 - 55 T^{2} + 5694 T^{4} - 187411 T^{6} + 12578046 T^{8} - 268382455 T^{10} + 10779215329 T^{12} \))(\( 1 - 247 T^{2} + 26702 T^{4} - 1626339 T^{6} + 58984718 T^{8} - 1205281207 T^{10} + 10779215329 T^{12} \))(\( ( 1 - 45 T^{2} + 2209 T^{4} )^{3} \))(\( 1 - 135 T^{2} + 7214 T^{4} - 286931 T^{6} + 15935726 T^{8} - 658756935 T^{10} + 10779215329 T^{12} \))(\( 1 - 148 T^{2} + 14490 T^{4} - 1021616 T^{6} + 54203939 T^{8} - 2256749744 T^{10} + 70706577690 T^{12} - 1595323868692 T^{14} + 23811286661761 T^{16} \))
$53$ (\( 1 + 10 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 + 4 T + 107 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 18 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 46 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 107 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 46 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 - 19 T + 221 T^{2} - 1931 T^{3} + 11713 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 207 T^{2} - 1665 T^{3} + 10971 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 5 T + 151 T^{2} + 531 T^{3} + 8003 T^{4} + 14045 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 29 T^{2} - 95 T^{3} + 1537 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 207 T^{2} - 1665 T^{3} + 10971 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 221 T^{2} - 1931 T^{3} + 11713 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 29 T^{2} - 95 T^{3} + 1537 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 + 5 T + 151 T^{2} + 531 T^{3} + 8003 T^{4} + 14045 T^{5} + 148877 T^{6} \))(\( 1 - 8 T + 137 T^{2} - 1268 T^{3} + 8956 T^{4} - 67204 T^{5} + 384833 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 137 T^{2} - 1268 T^{3} + 8956 T^{4} - 67204 T^{5} + 384833 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( ( 1 + 13 T + 53 T^{2} )^{2} \))(\( ( 1 - 9 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 4 T + 107 T^{2} + 212 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 4 T - 18 T^{2} - 212 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 19 T + 221 T^{2} - 1931 T^{3} + 11713 T^{4} - 53371 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 19 T + 207 T^{2} - 1665 T^{3} + 10971 T^{4} - 53371 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 + 5 T + 151 T^{2} + 531 T^{3} + 8003 T^{4} + 14045 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} - 95 T^{3} + 1537 T^{4} - 8427 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 8 T + 137 T^{2} - 1268 T^{3} + 8956 T^{4} - 67204 T^{5} + 384833 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{2} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 10 T + 131 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 170 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 17 T + 186 T^{2} + 1003 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 110 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 170 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 131 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 110 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 17 T + 186 T^{2} - 1003 T^{3} + 3481 T^{4} \))(\( 1 + 19 T + 253 T^{2} + 2313 T^{3} + 14927 T^{4} + 66139 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 107 T^{2} - 917 T^{3} + 6313 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 15 T + 77 T^{2} + 145 T^{3} + 4543 T^{4} + 52215 T^{5} + 205379 T^{6} \))(\( 1 - 23 T + 323 T^{2} - 2881 T^{3} + 19057 T^{4} - 80063 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 79 T^{2} + 483 T^{3} + 4661 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 11 T + 61 T^{2} - 219 T^{3} + 3599 T^{4} - 38291 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 163 T^{2} + 819 T^{3} + 9617 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 9 T^{2} + 441 T^{3} + 531 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 23 T + 323 T^{2} + 2881 T^{3} + 19057 T^{4} + 80063 T^{5} + 205379 T^{6} \))(\( 1 - 15 T + 77 T^{2} - 145 T^{3} + 4543 T^{4} - 52215 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 107 T^{2} + 917 T^{3} + 6313 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 19 T + 253 T^{2} - 2313 T^{3} + 14927 T^{4} - 66139 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 9 T^{2} - 441 T^{3} + 531 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 163 T^{2} - 819 T^{3} + 9617 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 11 T + 61 T^{2} + 219 T^{3} + 3599 T^{4} + 38291 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 79 T^{2} - 483 T^{3} + 4661 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 - 6 T + 205 T^{2} - 846 T^{3} + 16944 T^{4} - 49914 T^{5} + 713605 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T + 205 T^{2} + 846 T^{3} + 16944 T^{4} + 49914 T^{5} + 713605 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 + 26 T^{2} + 3481 T^{4} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 + 26 T^{2} + 3481 T^{4} \))(\( 1 - 93 T^{2} + 3481 T^{4} \))(\( 1 + 107 T^{2} + 3481 T^{4} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( 1 - 37 T^{2} + 3481 T^{4} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( 1 + 26 T^{2} + 3481 T^{4} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( ( 1 - 59 T^{2} )^{2} \))(\( 1 - 162 T^{2} + 12323 T^{4} - 563922 T^{6} + 12117361 T^{8} \))(\( 1 - 84 T^{2} + 5654 T^{4} - 292404 T^{6} + 12117361 T^{8} \))(\( 1 - 44 T^{2} - 746 T^{4} - 153164 T^{6} + 12117361 T^{8} \))(\( 1 - 83 T^{2} + 7456 T^{4} - 288923 T^{6} + 12117361 T^{8} \))(\( 1 - 165 T^{2} + 11237 T^{4} - 579713 T^{6} + 39115997 T^{8} - 1999364565 T^{10} + 42180533641 T^{12} \))(\( 1 - 145 T^{2} + 5969 T^{4} - 100569 T^{6} + 20778089 T^{8} - 1757017345 T^{10} + 42180533641 T^{12} \))(\( 1 - 117 T^{2} + 9917 T^{4} - 738521 T^{6} + 34521077 T^{8} - 1417731237 T^{10} + 42180533641 T^{12} \))(\( 1 + 71 T^{2} + 10665 T^{4} + 477095 T^{6} + 37124865 T^{8} + 860332631 T^{10} + 42180533641 T^{12} \))(\( 1 - T^{2} + 6101 T^{4} + 40527 T^{6} + 21237581 T^{8} - 12117361 T^{10} + 42180533641 T^{12} \))(\( 1 - 109 T^{2} + 8801 T^{4} - 572769 T^{6} + 30636281 T^{8} - 1320792349 T^{10} + 42180533641 T^{12} \))(\( 1 + 31 T^{2} + 7317 T^{4} + 115303 T^{6} + 25470477 T^{8} + 375638191 T^{10} + 42180533641 T^{12} \))(\( 1 - 277 T^{2} + 34337 T^{4} - 2534001 T^{6} + 119527097 T^{8} - 3356508997 T^{10} + 42180533641 T^{12} \))(\( 1 - 374 T^{2} + 65761 T^{4} - 7059566 T^{6} + 504670132 T^{8} - 24574349246 T^{10} + 796849776721 T^{12} - 15775519581734 T^{14} + 146830437604321 T^{16} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 14 T^{2} + 3721 T^{4} \))(\( 1 + 8 T + 86 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( 1 + 8 T + 126 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 86 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 14 T^{2} + 3721 T^{4} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( 1 - T + 97 T^{2} - 373 T^{3} + 5917 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 17 T + 179 T^{2} + 1473 T^{3} + 10919 T^{4} + 63257 T^{5} + 226981 T^{6} \))(\( 1 - T + 83 T^{2} - 9 T^{3} + 5063 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1069 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 119 T^{2} - 639 T^{3} + 7259 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 - 11 T + 193 T^{2} - 1313 T^{3} + 11773 T^{4} - 40931 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 189 T^{2} - 611 T^{3} + 11529 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 + 21 T + 267 T^{2} + 2275 T^{3} + 16287 T^{4} + 78141 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1069 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 - T + 83 T^{2} - 9 T^{3} + 5063 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 17 T + 179 T^{2} + 1473 T^{3} + 10919 T^{4} + 63257 T^{5} + 226981 T^{6} \))(\( 1 - T + 97 T^{2} - 373 T^{3} + 5917 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 21 T + 267 T^{2} + 2275 T^{3} + 16287 T^{4} + 78141 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 189 T^{2} - 611 T^{3} + 11529 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 - 11 T + 193 T^{2} - 1313 T^{3} + 11773 T^{4} - 40931 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 119 T^{2} - 639 T^{3} + 7259 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( ( 1 - 8 T + 126 T^{2} - 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 8 T + 126 T^{2} - 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 14 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 126 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{4} \))(\( ( 1 + 17 T + 179 T^{2} + 1473 T^{3} + 10919 T^{4} + 63257 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - T + 97 T^{2} - 373 T^{3} + 5917 T^{4} - 3721 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + 9 T + 161 T^{2} + 1069 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - T + 83 T^{2} - 9 T^{3} + 5063 T^{4} - 3721 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 11 T + 193 T^{2} - 1313 T^{3} + 11773 T^{4} - 40931 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 5 T + 119 T^{2} - 639 T^{3} + 7259 T^{4} - 18605 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + 21 T + 267 T^{2} + 2275 T^{3} + 16287 T^{4} + 78141 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 5 T + 189 T^{2} - 611 T^{3} + 11529 T^{4} - 18605 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 8 T + 126 T^{2} - 488 T^{3} + 3721 T^{4} )^{4} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 16 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 16 T + 186 T^{2} + 1072 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 98 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 126 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 - 18 T + 198 T^{2} - 1206 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 98 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 16 T + 186 T^{2} - 1072 T^{3} + 4489 T^{4} \))(\( 1 + 18 T + 198 T^{2} + 1206 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 102 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - T + 129 T^{2} + 35 T^{3} + 8643 T^{4} - 4489 T^{5} + 300763 T^{6} \))(\( 1 - 5 T + 207 T^{2} - 671 T^{3} + 13869 T^{4} - 22445 T^{5} + 300763 T^{6} \))(\( 1 + 3 T + 71 T^{2} + 571 T^{3} + 4757 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 - 13 T + 213 T^{2} - 1519 T^{3} + 14271 T^{4} - 58357 T^{5} + 300763 T^{6} \))(\( 1 + 5 T + 179 T^{2} + 573 T^{3} + 11993 T^{4} + 22445 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 213 T^{2} - 2009 T^{3} + 14271 T^{4} - 67335 T^{5} + 300763 T^{6} \))(\( 1 + 17 T + 281 T^{2} + 2349 T^{3} + 18827 T^{4} + 76313 T^{5} + 300763 T^{6} \))(\( 1 - 23 T + 347 T^{2} - 3249 T^{3} + 23249 T^{4} - 103247 T^{5} + 300763 T^{6} \))(\( 1 + 13 T + 213 T^{2} + 1519 T^{3} + 14271 T^{4} + 58357 T^{5} + 300763 T^{6} \))(\( 1 - 3 T + 71 T^{2} - 571 T^{3} + 4757 T^{4} - 13467 T^{5} + 300763 T^{6} \))(\( 1 + 5 T + 207 T^{2} + 671 T^{3} + 13869 T^{4} + 22445 T^{5} + 300763 T^{6} \))(\( 1 + T + 129 T^{2} - 35 T^{3} + 8643 T^{4} + 4489 T^{5} + 300763 T^{6} \))(\( 1 + 23 T + 347 T^{2} + 3249 T^{3} + 23249 T^{4} + 103247 T^{5} + 300763 T^{6} \))(\( 1 - 17 T + 281 T^{2} - 2349 T^{3} + 18827 T^{4} - 76313 T^{5} + 300763 T^{6} \))(\( 1 + 15 T + 213 T^{2} + 2009 T^{3} + 14271 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 - 5 T + 179 T^{2} - 573 T^{3} + 11993 T^{4} - 22445 T^{5} + 300763 T^{6} \))(\( 1 + 12 T + 216 T^{2} + 2268 T^{3} + 20318 T^{4} + 151956 T^{5} + 969624 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 12 T + 216 T^{2} - 2268 T^{3} + 20318 T^{4} - 151956 T^{5} + 969624 T^{6} - 3609156 T^{7} + 20151121 T^{8} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( ( 1 - 67 T^{2} )^{2} \))(\( 1 + 122 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 116 T^{2} + 9270 T^{4} - 520724 T^{6} + 20151121 T^{8} \))(\( 1 - 236 T^{2} + 22710 T^{4} - 1059404 T^{6} + 20151121 T^{8} \))(\( ( 1 - 102 T^{2} + 4489 T^{4} )^{2} \))(\( 1 - 60 T^{2} + 86 T^{4} - 269340 T^{6} + 20151121 T^{8} \))(\( 1 - 389 T^{2} + 63877 T^{4} - 5668601 T^{6} + 286743853 T^{8} - 7838786069 T^{10} + 90458382169 T^{12} \))(\( 1 - 257 T^{2} + 33997 T^{4} - 2821217 T^{6} + 152612533 T^{8} - 5178838097 T^{10} + 90458382169 T^{12} \))(\( 1 - 257 T^{2} + 34417 T^{4} - 2856329 T^{6} + 154497913 T^{8} - 5178838097 T^{10} + 90458382169 T^{12} \))(\( 1 - 133 T^{2} + 11129 T^{4} - 870177 T^{6} + 49958081 T^{8} - 2680099093 T^{10} + 90458382169 T^{12} \))(\( 1 - 201 T^{2} + 13641 T^{4} - 624841 T^{6} + 61234449 T^{8} - 4050375321 T^{10} + 90458382169 T^{12} \))(\( 1 - 333 T^{2} + 50297 T^{4} - 4342241 T^{6} + 225783233 T^{8} - 6710323293 T^{10} + 90458382169 T^{12} \))(\( 1 - 165 T^{2} + 17453 T^{4} - 1430969 T^{6} + 78346517 T^{8} - 3324934965 T^{10} + 90458382169 T^{12} \))(\( 1 - 273 T^{2} + 36749 T^{4} - 3069857 T^{6} + 164966261 T^{8} - 5501256033 T^{10} + 90458382169 T^{12} \))(\( 1 - 288 T^{2} + 32860 T^{4} - 1925856 T^{6} + 96108774 T^{8} - 8645167584 T^{10} + 662165836060 T^{12} - 26052014064672 T^{14} + 406067677556641 T^{16} \))
$71$ (\( 1 + 16 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 14 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 4 T + 38 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 94 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 130 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 18 T + 206 T^{2} - 1278 T^{3} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 130 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 94 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 78 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 18 T + 206 T^{2} + 1278 T^{3} + 5041 T^{4} \))(\( 1 - T + 99 T^{2} + 279 T^{3} + 7029 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 - 13 T + 183 T^{2} - 1833 T^{3} + 12993 T^{4} - 65533 T^{5} + 357911 T^{6} \))(\( 1 + 21 T + 297 T^{2} + 2695 T^{3} + 21087 T^{4} + 105861 T^{5} + 357911 T^{6} \))(\( 1 - 3 T + 209 T^{2} - 413 T^{3} + 14839 T^{4} - 15123 T^{5} + 357911 T^{6} \))(\( 1 - T + 99 T^{2} - 561 T^{3} + 7029 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 - 13 T + 183 T^{2} - 1833 T^{3} + 12993 T^{4} - 65533 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 213 T^{2} - 945 T^{3} + 15123 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 157 T^{2} - 693 T^{3} + 11147 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 + 3 T + 209 T^{2} + 413 T^{3} + 14839 T^{4} + 15123 T^{5} + 357911 T^{6} \))(\( 1 - 21 T + 297 T^{2} - 2695 T^{3} + 21087 T^{4} - 105861 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 183 T^{2} + 1833 T^{3} + 12993 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 + T + 99 T^{2} - 279 T^{3} + 7029 T^{4} + 5041 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 157 T^{2} + 693 T^{3} + 11147 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 213 T^{2} + 945 T^{3} + 15123 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 183 T^{2} + 1833 T^{3} + 12993 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 + T + 99 T^{2} + 561 T^{3} + 7029 T^{4} + 5041 T^{5} + 357911 T^{6} \))(\( 1 + 16 T + 184 T^{2} + 1472 T^{3} + 11022 T^{4} + 104512 T^{5} + 927544 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 16 T + 184 T^{2} - 1472 T^{3} + 11022 T^{4} - 104512 T^{5} + 927544 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 138 T^{2} + 5041 T^{4} \))(\( 1 + 54 T^{2} + 5041 T^{4} \))(\( 1 + 114 T^{2} + 5041 T^{4} \))(\( 1 + 114 T^{2} + 5041 T^{4} \))(\( 1 - 78 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 - 126 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 + 114 T^{2} + 5041 T^{4} \))(\( 1 + 2 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 - 138 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 - 60 T^{2} + 9254 T^{4} - 302460 T^{6} + 25411681 T^{8} \))(\( 1 - 116 T^{2} + 6534 T^{4} - 584756 T^{6} + 25411681 T^{8} \))(\( ( 1 - 110 T^{2} + 5041 T^{4} )^{2} \))(\( 1 - 88 T^{2} + 6510 T^{4} - 443608 T^{6} + 25411681 T^{8} \))(\( 1 - 197 T^{2} + 11817 T^{4} - 407513 T^{6} + 59569497 T^{8} - 5006101157 T^{10} + 128100283921 T^{12} \))(\( 1 - 197 T^{2} + 24417 T^{4} - 2019641 T^{6} + 123086097 T^{8} - 5006101157 T^{10} + 128100283921 T^{12} \))(\( 1 - 409 T^{2} + 70881 T^{4} - 6657217 T^{6} + 357311121 T^{8} - 10393377529 T^{10} + 128100283921 T^{12} \))(\( 1 - 153 T^{2} + 17193 T^{4} - 1532313 T^{6} + 86669913 T^{8} - 3887987193 T^{10} + 128100283921 T^{12} \))(\( 1 - 197 T^{2} + 11817 T^{4} - 407513 T^{6} + 59569497 T^{8} - 5006101157 T^{10} + 128100283921 T^{12} \))(\( 1 - 197 T^{2} + 22737 T^{4} - 1782761 T^{6} + 114617217 T^{8} - 5006101157 T^{10} + 128100283921 T^{12} \))(\( 1 - 265 T^{2} + 37241 T^{4} - 3241713 T^{6} + 187731881 T^{8} - 6734095465 T^{10} + 128100283921 T^{12} \))(\( 1 - 377 T^{2} + 62385 T^{4} - 5771177 T^{6} + 314482785 T^{8} - 9580203737 T^{10} + 128100283921 T^{12} \))(\( 1 - 112 T^{2} + 8796 T^{4} - 400016 T^{6} + 22710278 T^{8} - 2016480656 T^{10} + 223521146076 T^{12} - 14347231799152 T^{14} + 645753531245761 T^{16} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( 1 + 10 T + 158 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 98 T^{2} + 5329 T^{4} \))(\( 1 - 6 T + 2 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 18 T + 210 T^{2} - 1314 T^{3} + 5329 T^{4} \))(\( 1 + 98 T^{2} + 5329 T^{4} \))(\( 1 - 10 T + 158 T^{2} - 730 T^{3} + 5329 T^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( 1 + 18 T + 210 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 2 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 - 15 T + 77 T^{2} - 47 T^{3} + 5621 T^{4} - 79935 T^{5} + 389017 T^{6} \))(\( 1 + 13 T + 161 T^{2} + 1395 T^{3} + 11753 T^{4} + 69277 T^{5} + 389017 T^{6} \))(\( 1 + 7 T + 219 T^{2} + 973 T^{3} + 15987 T^{4} + 37303 T^{5} + 389017 T^{6} \))(\( 1 - 17 T + 271 T^{2} - 2525 T^{3} + 19783 T^{4} - 90593 T^{5} + 389017 T^{6} \))(\( 1 + 25 T + 411 T^{2} + 4069 T^{3} + 30003 T^{4} + 133225 T^{5} + 389017 T^{6} \))(\( 1 + T - 21 T^{2} + 523 T^{3} - 1533 T^{4} + 5329 T^{5} + 389017 T^{6} \))(\( 1 + 3 T + 89 T^{2} + 5 T^{3} + 6497 T^{4} + 15987 T^{5} + 389017 T^{6} \))(\( 1 - 9 T + 113 T^{2} - 1033 T^{3} + 8249 T^{4} - 47961 T^{5} + 389017 T^{6} \))(\( 1 + 17 T + 271 T^{2} + 2525 T^{3} + 19783 T^{4} + 90593 T^{5} + 389017 T^{6} \))(\( 1 - 7 T + 219 T^{2} - 973 T^{3} + 15987 T^{4} - 37303 T^{5} + 389017 T^{6} \))(\( 1 - 13 T + 161 T^{2} - 1395 T^{3} + 11753 T^{4} - 69277 T^{5} + 389017 T^{6} \))(\( 1 + 15 T + 77 T^{2} + 47 T^{3} + 5621 T^{4} + 79935 T^{5} + 389017 T^{6} \))(\( 1 + 9 T + 113 T^{2} + 1033 T^{3} + 8249 T^{4} + 47961 T^{5} + 389017 T^{6} \))(\( 1 - 3 T + 89 T^{2} - 5 T^{3} + 6497 T^{4} - 15987 T^{5} + 389017 T^{6} \))(\( 1 - T - 21 T^{2} - 523 T^{3} - 1533 T^{4} - 5329 T^{5} + 389017 T^{6} \))(\( 1 - 25 T + 411 T^{2} - 4069 T^{3} + 30003 T^{4} - 133225 T^{5} + 389017 T^{6} \))(\( 1 + 12 T + 168 T^{2} + 900 T^{3} + 9326 T^{4} + 65700 T^{5} + 895272 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 168 T^{2} - 900 T^{3} + 9326 T^{4} - 65700 T^{5} + 895272 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( ( 1 - 6 T + 73 T^{2} )( 1 + 6 T + 73 T^{2} ) \))(\( 1 - 82 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 82 T^{2} + 5329 T^{4} \))(\( ( 1 - 73 T^{2} )^{2} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 + 50 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( ( 1 - 73 T^{2} )^{2} \))(\( 1 - 130 T^{2} + 5329 T^{4} \))(\( 1 - 82 T^{2} + 5329 T^{4} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 98 T^{2} + 5329 T^{4} )^{2} \))(\( 1 - 76 T^{2} + 1734 T^{4} - 405004 T^{6} + 28398241 T^{8} \))(\( 1 + 32 T^{2} + 5406 T^{4} + 170528 T^{6} + 28398241 T^{8} \))(\( 1 - 153 T^{2} + 13157 T^{4} - 815273 T^{6} + 70113653 T^{8} - 4344930873 T^{10} + 151334226289 T^{12} \))(\( 1 + 71 T^{2} + 15761 T^{4} + 756591 T^{6} + 83990369 T^{8} + 2016275111 T^{10} + 151334226289 T^{12} \))(\( 1 - 253 T^{2} + 27157 T^{4} - 2044633 T^{6} + 144719653 T^{8} - 7184754973 T^{10} + 151334226289 T^{12} \))(\( 1 - 389 T^{2} + 66313 T^{4} - 6311369 T^{6} + 353381977 T^{8} - 11046915749 T^{10} + 151334226289 T^{12} \))(\( 1 + 43 T^{2} - 3671 T^{4} - 558233 T^{6} - 19562759 T^{8} + 1221124363 T^{10} + 151334226289 T^{12} \))(\( 1 - 197 T^{2} + 25477 T^{4} - 2222489 T^{6} + 135766933 T^{8} - 5594453477 T^{10} + 151334226289 T^{12} \))(\( 1 - 145 T^{2} + 10673 T^{4} - 711921 T^{6} + 56876417 T^{8} - 4117744945 T^{10} + 151334226289 T^{12} \))(\( 1 - 169 T^{2} + 20885 T^{4} - 1838553 T^{6} + 111296165 T^{8} - 4799302729 T^{10} + 151334226289 T^{12} \))(\( 1 - 192 T^{2} + 25276 T^{4} - 2537280 T^{6} + 214285254 T^{8} - 13521165120 T^{10} + 717793939516 T^{12} - 29056171447488 T^{14} + 806460091894081 T^{16} \))
$79$ (\( 1 + 16 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 14 T + 159 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - 50 T^{2} + 6241 T^{4} \))(\( 1 - 20 T + 210 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 - 19 T + 244 T^{2} - 1501 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 20 T + 210 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 - 50 T^{2} + 6241 T^{4} \))(\( 1 + 14 T + 159 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 19 T + 244 T^{2} - 1501 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 291 T^{2} - 2383 T^{3} + 22989 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 + 7 T + 181 T^{2} + 1015 T^{3} + 14299 T^{4} + 43687 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 93 T^{2} + 825 T^{3} + 7347 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 25 T + 387 T^{2} + 4075 T^{3} + 30573 T^{4} + 156025 T^{5} + 493039 T^{6} \))(\( 1 + 17 T + 261 T^{2} + 2393 T^{3} + 20619 T^{4} + 106097 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 219 T^{2} + 447 T^{3} + 17301 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 247 T^{2} - 2099 T^{3} + 19513 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 249 T^{2} - 2369 T^{3} + 19671 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 + 25 T + 387 T^{2} + 4075 T^{3} + 30573 T^{4} + 156025 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 93 T^{2} + 825 T^{3} + 7347 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 7 T + 181 T^{2} + 1015 T^{3} + 14299 T^{4} + 43687 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 291 T^{2} - 2383 T^{3} + 22989 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 249 T^{2} - 2369 T^{3} + 19671 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 247 T^{2} - 2099 T^{3} + 19513 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 219 T^{2} + 447 T^{3} + 17301 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 17 T + 261 T^{2} + 2393 T^{3} + 20619 T^{4} + 106097 T^{5} + 493039 T^{6} \))(\( 1 + 10 T + 169 T^{2} + 1510 T^{3} + 17728 T^{4} + 119290 T^{5} + 1054729 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( 1 + 10 T + 169 T^{2} + 1510 T^{3} + 17728 T^{4} + 119290 T^{5} + 1054729 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 6 T + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 16 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 5 T + 79 T^{2} )^{2} \))(\( ( 1 + 11 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 5 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 2 T + 79 T^{2} )^{2} \))(\( ( 1 + 16 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 14 T + 159 T^{2} + 1106 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 20 T + 210 T^{2} - 1580 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 19 T + 244 T^{2} - 1501 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 7 T + 181 T^{2} + 1015 T^{3} + 14299 T^{4} + 43687 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 15 T + 291 T^{2} - 2383 T^{3} + 22989 T^{4} - 93615 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 25 T + 387 T^{2} + 4075 T^{3} + 30573 T^{4} + 156025 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 3 T + 93 T^{2} + 825 T^{3} + 7347 T^{4} + 18723 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 3 T + 219 T^{2} + 447 T^{3} + 17301 T^{4} + 18723 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 17 T + 261 T^{2} + 2393 T^{3} + 20619 T^{4} + 106097 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 15 T + 249 T^{2} - 2369 T^{3} + 19671 T^{4} - 93615 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 17 T + 247 T^{2} - 2099 T^{3} + 19513 T^{4} - 106097 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 10 T + 169 T^{2} + 1510 T^{3} + 17728 T^{4} + 119290 T^{5} + 1054729 T^{6} + 4930390 T^{7} + 38950081 T^{8} )^{2} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 4 T + 122 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 20 T + 214 T^{2} + 1660 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 190 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 6 T + 158 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 + 24 T + 278 T^{2} + 1992 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 102 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 190 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 20 T + 214 T^{2} - 1660 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 122 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 102 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 6 T + 158 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 + 6 T + 212 T^{2} + 857 T^{3} + 17596 T^{4} + 41334 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 206 T^{2} - 1405 T^{3} + 17098 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 22 T + 198 T^{2} + 1299 T^{3} + 16434 T^{4} + 151558 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 268 T^{2} - 2943 T^{3} + 22244 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 - 2 T + 234 T^{2} - 303 T^{3} + 19422 T^{4} - 13778 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 276 T^{2} - 1965 T^{3} + 22908 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 6 T + 128 T^{2} + 647 T^{3} + 10624 T^{4} + 41334 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 366 T^{2} - 3531 T^{3} + 30378 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 268 T^{2} + 2943 T^{3} + 22244 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 22 T + 198 T^{2} - 1299 T^{3} + 16434 T^{4} - 151558 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 206 T^{2} + 1405 T^{3} + 17098 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 212 T^{2} - 857 T^{3} + 17596 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 366 T^{2} + 3531 T^{3} + 30378 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 128 T^{2} - 647 T^{3} + 10624 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 276 T^{2} + 1965 T^{3} + 22908 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 + 2 T + 234 T^{2} + 303 T^{3} + 19422 T^{4} + 13778 T^{5} + 571787 T^{6} \))(\( 1 + 16 T + 232 T^{2} + 2048 T^{3} + 19710 T^{4} + 169984 T^{5} + 1598248 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 - 16 T + 232 T^{2} - 2048 T^{3} + 19710 T^{4} - 169984 T^{5} + 1598248 T^{6} - 9148592 T^{7} + 47458321 T^{8} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 102 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 228 T^{2} + 26006 T^{4} - 1570692 T^{6} + 47458321 T^{8} \))(\( 1 - 236 T^{2} + 25974 T^{4} - 1625804 T^{6} + 47458321 T^{8} \))(\( 1 + 20 T^{2} - 4554 T^{4} + 137780 T^{6} + 47458321 T^{8} \))(\( 1 - 280 T^{2} + 32766 T^{4} - 1928920 T^{6} + 47458321 T^{8} \))(\( 1 - 268 T^{2} + 42912 T^{4} - 4229893 T^{6} + 295620768 T^{8} - 12718830028 T^{10} + 326940373369 T^{12} \))(\( 1 - 388 T^{2} + 69852 T^{4} - 7373821 T^{6} + 481210428 T^{8} - 18413828548 T^{10} + 326940373369 T^{12} \))(\( 1 - 136 T^{2} - 1408 T^{4} + 1106091 T^{6} - 9699712 T^{8} - 6454331656 T^{10} + 326940373369 T^{12} \))(\( 1 + 88 T^{2} + 14916 T^{4} + 704515 T^{6} + 102756324 T^{8} + 4176332248 T^{10} + 326940373369 T^{12} \))(\( 1 - 408 T^{2} + 74832 T^{4} - 7943533 T^{6} + 515517648 T^{8} - 19362994968 T^{10} + 326940373369 T^{12} \))(\( 1 - 464 T^{2} + 92388 T^{4} - 10086149 T^{6} + 636460932 T^{8} - 22020660944 T^{10} + 326940373369 T^{12} \))(\( 1 - 332 T^{2} + 53472 T^{4} - 5401109 T^{6} + 368368608 T^{8} - 15756162572 T^{10} + 326940373369 T^{12} \))(\( 1 - 220 T^{2} + 29868 T^{4} - 2948701 T^{6} + 205760652 T^{8} - 10440830620 T^{10} + 326940373369 T^{12} \))(\( 1 - 208 T^{2} + 27708 T^{4} - 2708144 T^{6} + 235978406 T^{8} - 18656404016 T^{10} + 1314975158268 T^{12} - 68003597660752 T^{14} + 2252292232139041 T^{16} \))
$89$ (\( 1 + 10 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 11 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 - 8 T + 182 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1424 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 35 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 - 17 T + 144 T^{2} - 1513 T^{3} + 7921 T^{4} \))(\( 1 - 20 T + 246 T^{2} - 1780 T^{3} + 7921 T^{4} \))(\( 1 - 2 T + 162 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 35 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 + 8 T + 182 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 + 2 T + 162 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 + 17 T + 144 T^{2} + 1513 T^{3} + 7921 T^{4} \))(\( 1 + 9 T + 147 T^{2} + 1825 T^{3} + 13083 T^{4} + 71289 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 179 T^{2} - 241 T^{3} + 15931 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 + 23 T + 371 T^{2} + 3925 T^{3} + 33019 T^{4} + 182183 T^{5} + 704969 T^{6} \))(\( 1 - 21 T + 239 T^{2} - 1981 T^{3} + 21271 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 + 7 T + 183 T^{2} + 945 T^{3} + 16287 T^{4} + 55447 T^{5} + 704969 T^{6} \))(\( 1 - T + 27 T^{2} + 831 T^{3} + 2403 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 123 T^{2} + 249 T^{3} + 10947 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 123 T^{2} - 1025 T^{3} + 10947 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 + 21 T + 239 T^{2} + 1981 T^{3} + 21271 T^{4} + 166341 T^{5} + 704969 T^{6} \))(\( 1 - 23 T + 371 T^{2} - 3925 T^{3} + 33019 T^{4} - 182183 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 179 T^{2} + 241 T^{3} + 15931 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 - 9 T + 147 T^{2} - 1825 T^{3} + 13083 T^{4} - 71289 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 123 T^{2} + 1025 T^{3} + 10947 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 123 T^{2} - 249 T^{3} + 10947 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 + T + 27 T^{2} - 831 T^{3} + 2403 T^{4} + 7921 T^{5} + 704969 T^{6} \))(\( 1 - 7 T + 183 T^{2} - 945 T^{3} + 16287 T^{4} - 55447 T^{5} + 704969 T^{6} \))(\( 1 - 4 T + 241 T^{2} - 284 T^{3} + 26052 T^{4} - 25276 T^{5} + 1908961 T^{6} - 2819876 T^{7} + 62742241 T^{8} \))(\( 1 + 4 T + 241 T^{2} + 284 T^{3} + 26052 T^{4} + 25276 T^{5} + 1908961 T^{6} + 2819876 T^{7} + 62742241 T^{8} \))(\( 1 - 177 T^{2} + 7921 T^{4} \))(\( 1 - 169 T^{2} + 7921 T^{4} \))(\( 1 - 142 T^{2} + 7921 T^{4} \))(\( ( 1 - 16 T + 89 T^{2} )( 1 + 16 T + 89 T^{2} ) \))(\( 1 + 18 T^{2} + 7921 T^{4} \))(\( ( 1 - 16 T + 89 T^{2} )( 1 + 16 T + 89 T^{2} ) \))(\( ( 1 - 16 T + 89 T^{2} )( 1 + 16 T + 89 T^{2} ) \))(\( 1 - 174 T^{2} + 7921 T^{4} \))(\( 1 + 18 T^{2} + 7921 T^{4} \))(\( 1 + 146 T^{2} + 7921 T^{4} \))(\( 1 + 146 T^{2} + 7921 T^{4} \))(\( 1 - 57 T^{2} + 7921 T^{4} \))(\( 1 - 142 T^{2} + 7921 T^{4} \))(\( 1 - 142 T^{2} + 7921 T^{4} \))(\( 1 - 300 T^{2} + 37574 T^{4} - 2376300 T^{6} + 62742241 T^{8} \))(\( 1 - 54 T^{2} + 14219 T^{4} - 427734 T^{6} + 62742241 T^{8} \))(\( 1 - 92 T^{2} + 5158 T^{4} - 728732 T^{6} + 62742241 T^{8} \))(\( 1 + T^{2} - 14864 T^{4} + 7921 T^{6} + 62742241 T^{8} \))(\( 1 - 349 T^{2} + 62457 T^{4} - 6912577 T^{6} + 494721897 T^{8} - 21897042109 T^{10} + 496981290961 T^{12} \))(\( 1 - 213 T^{2} + 14925 T^{4} - 642513 T^{6} + 118220925 T^{8} - 13364097333 T^{10} + 496981290961 T^{12} \))(\( 1 - 37 T^{2} + 16461 T^{4} - 666793 T^{6} + 130387581 T^{8} - 2321462917 T^{10} + 496981290961 T^{12} \))(\( 1 - 213 T^{2} + 23129 T^{4} - 2123993 T^{6} + 183204809 T^{8} - 13364097333 T^{10} + 496981290961 T^{12} \))(\( 1 - 53 T^{2} + 7197 T^{4} - 833297 T^{6} + 57007437 T^{8} - 3325338773 T^{10} + 496981290961 T^{12} \))(\( 1 - 317 T^{2} + 52833 T^{4} - 5701697 T^{6} + 418490193 T^{8} - 19889290397 T^{10} + 496981290961 T^{12} \))(\( 1 - 237 T^{2} + 30873 T^{4} - 2909697 T^{6} + 244545033 T^{8} - 14869911117 T^{10} + 496981290961 T^{12} \))(\( 1 - 237 T^{2} + 38517 T^{4} - 3898321 T^{6} + 305093157 T^{8} - 14869911117 T^{10} + 496981290961 T^{12} \))(\( 1 - 466 T^{2} + 107913 T^{4} - 16092122 T^{6} + 1687394612 T^{8} - 127465698362 T^{10} + 6770703453033 T^{12} - 231593281587826 T^{14} + 3936588805702081 T^{16} \))
$97$ (\( 1 - 6 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 8 T + 198 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 206 T^{2} + 970 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 186 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 222 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 18 T + 258 T^{2} + 1746 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 90 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 206 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 198 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 - 18 T + 258 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 186 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 280 T^{2} - 775 T^{3} + 27160 T^{4} - 37636 T^{5} + 912673 T^{6} \))(\( 1 + 270 T^{2} + 7 T^{3} + 26190 T^{4} + 912673 T^{6} \))(\( 1 + 10 T + 182 T^{2} + 2109 T^{3} + 17654 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 - 6 T + 240 T^{2} - 857 T^{3} + 23280 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 + 18 T + 252 T^{2} + 2329 T^{3} + 24444 T^{4} + 169362 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 2 T^{2} - 1397 T^{3} + 194 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 + 24 T + 434 T^{2} + 4825 T^{3} + 42098 T^{4} + 225816 T^{5} + 912673 T^{6} \))(\( 1 - 16 T + 276 T^{2} - 2641 T^{3} + 26772 T^{4} - 150544 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 240 T^{2} + 857 T^{3} + 23280 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 182 T^{2} - 2109 T^{3} + 17654 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 + 270 T^{2} - 7 T^{3} + 26190 T^{4} + 912673 T^{6} \))(\( 1 + 4 T + 280 T^{2} + 775 T^{3} + 27160 T^{4} + 37636 T^{5} + 912673 T^{6} \))(\( 1 + 16 T + 276 T^{2} + 2641 T^{3} + 26772 T^{4} + 150544 T^{5} + 912673 T^{6} \))(\( 1 - 24 T + 434 T^{2} - 4825 T^{3} + 42098 T^{4} - 225816 T^{5} + 912673 T^{6} \))(\( 1 - 6 T + 2 T^{2} + 1397 T^{3} + 194 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 - 18 T + 252 T^{2} - 2329 T^{3} + 24444 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 - 36 T + 768 T^{2} - 11100 T^{3} + 124766 T^{4} - 1076700 T^{5} + 7226112 T^{6} - 32856228 T^{7} + 88529281 T^{8} \))(\( 1 + 36 T + 768 T^{2} + 11100 T^{3} + 124766 T^{4} + 1076700 T^{5} + 7226112 T^{6} + 32856228 T^{7} + 88529281 T^{8} \))(\( 1 - 50 T^{2} + 9409 T^{4} \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( 1 + 2 T^{2} + 9409 T^{4} \))(\( 1 - 158 T^{2} + 9409 T^{4} \))(\( 1 + 62 T^{2} + 9409 T^{4} \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 158 T^{2} + 9409 T^{4} \))(\( 1 + 2 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( ( 1 - 97 T^{2} )^{2} \))(\( 1 - 178 T^{2} + 9409 T^{4} \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( 1 - 332 T^{2} + 45606 T^{4} - 3123788 T^{6} + 88529281 T^{8} \))(\( 1 - 164 T^{2} + 23814 T^{4} - 1543076 T^{6} + 88529281 T^{8} \))(\( 1 - 300 T^{2} + 40166 T^{4} - 2822700 T^{6} + 88529281 T^{8} \))(\( 1 - 336 T^{2} + 46430 T^{4} - 3161424 T^{6} + 88529281 T^{8} \))(\( 1 - 540 T^{2} + 125280 T^{4} - 15967897 T^{6} + 1178759520 T^{8} - 47805811740 T^{10} + 832972004929 T^{12} \))(\( 1 - 544 T^{2} + 126520 T^{4} - 16133233 T^{6} + 1190426680 T^{8} - 48159928864 T^{10} + 832972004929 T^{12} \))(\( 1 - 444 T^{2} + 93876 T^{4} - 11587849 T^{6} + 883279284 T^{8} - 39307000764 T^{10} + 832972004929 T^{12} \))(\( 1 - 264 T^{2} + 26252 T^{4} - 1921721 T^{6} + 247005068 T^{8} - 23371730184 T^{10} + 832972004929 T^{12} \))(\( 1 + 32 T^{2} + 17156 T^{4} + 802935 T^{6} + 161420804 T^{8} + 2832936992 T^{10} + 832972004929 T^{12} \))(\( 1 - 180 T^{2} + 28548 T^{4} - 2623849 T^{6} + 268608132 T^{8} - 15935270580 T^{10} + 832972004929 T^{12} \))(\( 1 - 296 T^{2} + 45208 T^{4} - 4811201 T^{6} + 425362072 T^{8} - 26204667176 T^{10} + 832972004929 T^{12} \))(\( 1 - 292 T^{2} + 40952 T^{4} - 4246617 T^{6} + 385317368 T^{8} - 25850550052 T^{10} + 832972004929 T^{12} \))(\( 1 - 240 T^{2} + 40156 T^{4} - 5360400 T^{6} + 574532934 T^{8} - 50436003600 T^{10} + 3554981807836 T^{12} - 199913281182960 T^{14} + 7837433594376961 T^{16} \))
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