Properties

Label 4704.2
Level 4704
Weight 2
Dimension 242786
Nonzero newspaces 48
Sturm bound 2408448

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Defining parameters

Level: \( N \) = \( 4704 = 2^{5} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(2408448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4704))\).

Total New Old
Modular forms 609792 244726 365066
Cusp forms 594433 242786 351647
Eisenstein series 15359 1940 13419

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4704))\)

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
4704.2.a \(\chi_{4704}(1, \cdot)\) 4704.2.a.a 1 1
4704.2.a.b 1
4704.2.a.c 1
4704.2.a.d 1
4704.2.a.e 1
4704.2.a.f 1
4704.2.a.g 1
4704.2.a.h 1
4704.2.a.i 1
4704.2.a.j 1
4704.2.a.k 1
4704.2.a.l 1
4704.2.a.m 1
4704.2.a.n 1
4704.2.a.o 1
4704.2.a.p 1
4704.2.a.q 1
4704.2.a.r 1
4704.2.a.s 1
4704.2.a.t 1
4704.2.a.u 1
4704.2.a.v 1
4704.2.a.w 1
4704.2.a.x 1
4704.2.a.y 1
4704.2.a.z 1
4704.2.a.ba 1
4704.2.a.bb 1
4704.2.a.bc 1
4704.2.a.bd 1
4704.2.a.be 1
4704.2.a.bf 1
4704.2.a.bg 1
4704.2.a.bh 1
4704.2.a.bi 2
4704.2.a.bj 2
4704.2.a.bk 2
4704.2.a.bl 2
4704.2.a.bm 2
4704.2.a.bn 2
4704.2.a.bo 2
4704.2.a.bp 2
4704.2.a.bq 2
4704.2.a.br 2
4704.2.a.bs 3
4704.2.a.bt 3
4704.2.a.bu 3
4704.2.a.bv 3
4704.2.a.bw 4
4704.2.a.bx 4
4704.2.a.by 4
4704.2.a.bz 4
4704.2.b \(\chi_{4704}(1567, \cdot)\) 4704.2.b.a 8 1
4704.2.b.b 8
4704.2.b.c 16
4704.2.b.d 16
4704.2.b.e 16
4704.2.b.f 16
4704.2.c \(\chi_{4704}(2353, \cdot)\) 4704.2.c.a 2 1
4704.2.c.b 4
4704.2.c.c 8
4704.2.c.d 12
4704.2.c.e 16
4704.2.c.f 16
4704.2.c.g 24
4704.2.h \(\chi_{4704}(4607, \cdot)\) n/a 164 1
4704.2.i \(\chi_{4704}(881, \cdot)\) n/a 152 1
4704.2.j \(\chi_{4704}(2255, \cdot)\) n/a 154 1
4704.2.k \(\chi_{4704}(3233, \cdot)\) n/a 160 1
4704.2.p \(\chi_{4704}(3919, \cdot)\) 4704.2.p.a 32 1
4704.2.p.b 48
4704.2.q \(\chi_{4704}(961, \cdot)\) n/a 160 2
4704.2.s \(\chi_{4704}(1079, \cdot)\) None 0 2
4704.2.u \(\chi_{4704}(391, \cdot)\) None 0 2
4704.2.w \(\chi_{4704}(1177, \cdot)\) None 0 2
4704.2.y \(\chi_{4704}(2057, \cdot)\) None 0 2
4704.2.bb \(\chi_{4704}(2383, \cdot)\) n/a 160 2
4704.2.bc \(\chi_{4704}(1697, \cdot)\) n/a 320 2
4704.2.bd \(\chi_{4704}(3215, \cdot)\) n/a 304 2
4704.2.bi \(\chi_{4704}(4049, \cdot)\) n/a 304 2
4704.2.bj \(\chi_{4704}(863, \cdot)\) n/a 320 2
4704.2.bk \(\chi_{4704}(3313, \cdot)\) n/a 160 2
4704.2.bl \(\chi_{4704}(31, \cdot)\) n/a 160 2
4704.2.bo \(\chi_{4704}(673, \cdot)\) n/a 672 6
4704.2.bp \(\chi_{4704}(293, \cdot)\) n/a 2528 4
4704.2.br \(\chi_{4704}(589, \cdot)\) n/a 1312 4
4704.2.bt \(\chi_{4704}(491, \cdot)\) n/a 2584 4
4704.2.bv \(\chi_{4704}(979, \cdot)\) n/a 1280 4
4704.2.bx \(\chi_{4704}(521, \cdot)\) None 0 4
4704.2.bz \(\chi_{4704}(361, \cdot)\) None 0 4
4704.2.cb \(\chi_{4704}(1207, \cdot)\) None 0 4
4704.2.cd \(\chi_{4704}(263, \cdot)\) None 0 4
4704.2.cf \(\chi_{4704}(559, \cdot)\) n/a 672 6
4704.2.ck \(\chi_{4704}(545, \cdot)\) n/a 1344 6
4704.2.cl \(\chi_{4704}(239, \cdot)\) n/a 1320 6
4704.2.cm \(\chi_{4704}(209, \cdot)\) n/a 1320 6
4704.2.cn \(\chi_{4704}(575, \cdot)\) n/a 1344 6
4704.2.cs \(\chi_{4704}(337, \cdot)\) n/a 672 6
4704.2.ct \(\chi_{4704}(223, \cdot)\) n/a 672 6
4704.2.cu \(\chi_{4704}(193, \cdot)\) n/a 1344 12
4704.2.cw \(\chi_{4704}(19, \cdot)\) n/a 2560 8
4704.2.cy \(\chi_{4704}(275, \cdot)\) n/a 5056 8
4704.2.da \(\chi_{4704}(373, \cdot)\) n/a 2560 8
4704.2.dc \(\chi_{4704}(509, \cdot)\) n/a 5056 8
4704.2.dd \(\chi_{4704}(41, \cdot)\) None 0 12
4704.2.df \(\chi_{4704}(169, \cdot)\) None 0 12
4704.2.dh \(\chi_{4704}(55, \cdot)\) None 0 12
4704.2.dj \(\chi_{4704}(71, \cdot)\) None 0 12
4704.2.dn \(\chi_{4704}(703, \cdot)\) n/a 1344 12
4704.2.do \(\chi_{4704}(529, \cdot)\) n/a 1344 12
4704.2.dp \(\chi_{4704}(95, \cdot)\) n/a 2688 12
4704.2.dq \(\chi_{4704}(17, \cdot)\) n/a 2640 12
4704.2.dv \(\chi_{4704}(431, \cdot)\) n/a 2640 12
4704.2.dw \(\chi_{4704}(257, \cdot)\) n/a 2688 12
4704.2.dx \(\chi_{4704}(271, \cdot)\) n/a 1344 12
4704.2.eb \(\chi_{4704}(155, \cdot)\) n/a 21408 24
4704.2.ed \(\chi_{4704}(139, \cdot)\) n/a 10752 24
4704.2.ef \(\chi_{4704}(125, \cdot)\) n/a 21408 24
4704.2.eh \(\chi_{4704}(85, \cdot)\) n/a 10752 24
4704.2.ej \(\chi_{4704}(23, \cdot)\) None 0 24
4704.2.el \(\chi_{4704}(103, \cdot)\) None 0 24
4704.2.en \(\chi_{4704}(25, \cdot)\) None 0 24
4704.2.ep \(\chi_{4704}(89, \cdot)\) None 0 24
4704.2.eq \(\chi_{4704}(37, \cdot)\) n/a 21504 48
4704.2.es \(\chi_{4704}(5, \cdot)\) n/a 42816 48
4704.2.eu \(\chi_{4704}(115, \cdot)\) n/a 21504 48
4704.2.ew \(\chi_{4704}(11, \cdot)\) n/a 42816 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4704))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4704)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(196))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(294))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(392))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(588))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(672))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(784))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1176))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1568))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2352))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{16} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{16} \))(\( ( 1 - T )^{16} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{6} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 + T^{2} )^{8} \))
$5$ (\( 1 + 4 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 6 T^{2} + 4 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 + 6 T^{2} - 4 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 + 6 T^{2} + 4 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 + 6 T^{2} - 4 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 + 4 T + 12 T^{2} + 36 T^{3} + 98 T^{4} + 180 T^{5} + 300 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 12 T^{2} - 36 T^{3} + 98 T^{4} - 180 T^{5} + 300 T^{6} - 500 T^{7} + 625 T^{8} \))(\( 1 + 4 T + 12 T^{2} + 36 T^{3} + 98 T^{4} + 180 T^{5} + 300 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 12 T^{2} - 36 T^{3} + 98 T^{4} - 180 T^{5} + 300 T^{6} - 500 T^{7} + 625 T^{8} \))(\( 1 - 24 T^{2} + 280 T^{4} - 2168 T^{6} + 12434 T^{8} - 54200 T^{10} + 175000 T^{12} - 375000 T^{14} + 390625 T^{16} \))(\( 1 - 24 T^{2} + 280 T^{4} - 2168 T^{6} + 12434 T^{8} - 54200 T^{10} + 175000 T^{12} - 375000 T^{14} + 390625 T^{16} \))(\( 1 - 24 T^{2} + 376 T^{4} - 4216 T^{6} + 38516 T^{8} - 293096 T^{10} + 1949672 T^{12} - 11418312 T^{14} + 60311206 T^{16} - 285457800 T^{18} + 1218545000 T^{20} - 4579625000 T^{22} + 15045312500 T^{24} - 41171875000 T^{26} + 91796875000 T^{28} - 146484375000 T^{30} + 152587890625 T^{32} \))(\( 1 - 36 T^{2} + 646 T^{4} - 7768 T^{6} + 71473 T^{8} - 544728 T^{10} + 3606134 T^{12} - 21226508 T^{14} + 112006404 T^{16} - 530662700 T^{18} + 2253833750 T^{20} - 8511375000 T^{22} + 27919140625 T^{24} - 75859375000 T^{26} + 157714843750 T^{28} - 219726562500 T^{30} + 152587890625 T^{32} \))(\( 1 - 36 T^{2} + 646 T^{4} - 7768 T^{6} + 71473 T^{8} - 544728 T^{10} + 3606134 T^{12} - 21226508 T^{14} + 112006404 T^{16} - 530662700 T^{18} + 2253833750 T^{20} - 8511375000 T^{22} + 27919140625 T^{24} - 75859375000 T^{26} + 157714843750 T^{28} - 219726562500 T^{30} + 152587890625 T^{32} \))(\( 1 - 24 T^{2} + 376 T^{4} - 4216 T^{6} + 38516 T^{8} - 293096 T^{10} + 1949672 T^{12} - 11418312 T^{14} + 60311206 T^{16} - 285457800 T^{18} + 1218545000 T^{20} - 4579625000 T^{22} + 15045312500 T^{24} - 41171875000 T^{26} + 91796875000 T^{28} - 146484375000 T^{30} + 152587890625 T^{32} \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( 1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8} \))(\( 1 - 8 T^{2} + 16 T^{4} - 168 T^{6} + 1694 T^{8} - 4200 T^{10} + 10000 T^{12} - 125000 T^{14} + 390625 T^{16} \))(\( ( 1 - 14 T^{2} + 123 T^{4} - 716 T^{6} + 3075 T^{8} - 8750 T^{10} + 15625 T^{12} )^{2} \))(\( 1 - 32 T^{2} + 542 T^{4} - 6536 T^{6} + 62913 T^{8} - 508656 T^{10} + 3536014 T^{12} - 21418792 T^{14} + 114041284 T^{16} - 535469800 T^{18} + 2210008750 T^{20} - 7947750000 T^{22} + 24575390625 T^{24} - 63828125000 T^{26} + 132324218750 T^{28} - 195312500000 T^{30} + 152587890625 T^{32} \))(\( 1 - 32 T^{2} + 542 T^{4} - 6536 T^{6} + 62913 T^{8} - 508656 T^{10} + 3536014 T^{12} - 21418792 T^{14} + 114041284 T^{16} - 535469800 T^{18} + 2210008750 T^{20} - 7947750000 T^{22} + 24575390625 T^{24} - 63828125000 T^{26} + 132324218750 T^{28} - 195312500000 T^{30} + 152587890625 T^{32} \))
$7$ 1
$11$ (\( 1 - 6 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 14 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 + 6 T^{2} - 38 T^{3} + 66 T^{4} + 1331 T^{6} \))(\( 1 + 6 T^{2} + 38 T^{3} + 66 T^{4} + 1331 T^{6} \))(\( 1 + 6 T^{2} + 38 T^{3} + 66 T^{4} + 1331 T^{6} \))(\( 1 + 6 T^{2} - 38 T^{3} + 66 T^{4} + 1331 T^{6} \))(\( 1 - 4 T + 24 T^{2} - 84 T^{3} + 302 T^{4} - 924 T^{5} + 2904 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 24 T^{2} + 84 T^{3} + 302 T^{4} + 924 T^{5} + 2904 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 24 T^{2} + 84 T^{3} + 302 T^{4} + 924 T^{5} + 2904 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 - 4 T + 24 T^{2} - 84 T^{3} + 302 T^{4} - 924 T^{5} + 2904 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 - 64 T^{2} + 1940 T^{4} - 36800 T^{6} + 481222 T^{8} - 4452800 T^{10} + 28403540 T^{12} - 113379904 T^{14} + 214358881 T^{16} \))(\( 1 - 64 T^{2} + 1940 T^{4} - 36800 T^{6} + 481222 T^{8} - 4452800 T^{10} + 28403540 T^{12} - 113379904 T^{14} + 214358881 T^{16} \))(\( 1 - 56 T^{2} + 1424 T^{4} - 24232 T^{6} + 375644 T^{8} - 5914872 T^{10} + 83191920 T^{12} - 988825512 T^{14} + 10881179142 T^{16} - 119647886952 T^{18} + 1218012900720 T^{20} - 10478556555192 T^{22} + 80522627494364 T^{24} - 628515672931432 T^{26} + 4469122008450704 T^{28} - 21265990680661496 T^{30} + 45949729863572161 T^{32} \))(\( 1 - 100 T^{2} + 5030 T^{4} - 168968 T^{6} + 4246417 T^{8} - 84828216 T^{10} + 1397297398 T^{12} - 19417154364 T^{14} + 230572433028 T^{16} - 2349475678044 T^{18} + 20457831204118 T^{20} - 150278359165176 T^{22} + 910257196379377 T^{24} - 4382594759981768 T^{26} + 15786294734906630 T^{28} - 37974983358324100 T^{30} + 45949729863572161 T^{32} \))(\( 1 - 100 T^{2} + 5030 T^{4} - 168968 T^{6} + 4246417 T^{8} - 84828216 T^{10} + 1397297398 T^{12} - 19417154364 T^{14} + 230572433028 T^{16} - 2349475678044 T^{18} + 20457831204118 T^{20} - 150278359165176 T^{22} + 910257196379377 T^{24} - 4382594759981768 T^{26} + 15786294734906630 T^{28} - 37974983358324100 T^{30} + 45949729863572161 T^{32} \))(\( 1 - 56 T^{2} + 1424 T^{4} - 24232 T^{6} + 375644 T^{8} - 5914872 T^{10} + 83191920 T^{12} - 988825512 T^{14} + 10881179142 T^{16} - 119647886952 T^{18} + 1218012900720 T^{20} - 10478556555192 T^{22} + 80522627494364 T^{24} - 628515672931432 T^{26} + 4469122008450704 T^{28} - 21265990680661496 T^{30} + 45949729863572161 T^{32} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 20 T^{2} + 234 T^{4} - 2420 T^{6} + 14641 T^{8} \))(\( 1 - 24 T^{2} + 592 T^{4} - 8312 T^{6} + 114206 T^{8} - 1005752 T^{10} + 8667472 T^{12} - 42517464 T^{14} + 214358881 T^{16} \))(\( ( 1 - 22 T^{2} + 139 T^{4} - 28 T^{6} + 16819 T^{8} - 322102 T^{10} + 1771561 T^{12} )^{2} \))(\( 1 - 100 T^{2} + 5006 T^{4} - 167704 T^{6} + 4220601 T^{8} - 84693032 T^{10} + 1402756974 T^{12} - 19578949308 T^{14} + 232884553588 T^{16} - 2369052866268 T^{18} + 20537764856334 T^{20} - 150038872462952 T^{22} + 904723307507481 T^{24} - 4349809855286104 T^{26} + 15710972453865326 T^{28} - 37974983358324100 T^{30} + 45949729863572161 T^{32} \))(\( 1 - 100 T^{2} + 5006 T^{4} - 167704 T^{6} + 4220601 T^{8} - 84693032 T^{10} + 1402756974 T^{12} - 19578949308 T^{14} + 232884553588 T^{16} - 2369052866268 T^{18} + 20537764856334 T^{20} - 150038872462952 T^{22} + 904723307507481 T^{24} - 4349809855286104 T^{26} + 15710972453865326 T^{28} - 37974983358324100 T^{30} + 45949729863572161 T^{32} \))
$13$ (\( 1 - 5 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 24 T^{2} + 169 T^{4} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 + 24 T^{2} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 3 T + 3 T^{2} - 34 T^{3} + 39 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 3 T^{2} + 34 T^{3} + 39 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 + 3 T + 3 T^{2} - 34 T^{3} + 39 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 3 T^{2} + 34 T^{3} + 39 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 + 8 T + 48 T^{2} + 232 T^{3} + 978 T^{4} + 3016 T^{5} + 8112 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 48 T^{2} - 232 T^{3} + 978 T^{4} - 3016 T^{5} + 8112 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 + 8 T + 48 T^{2} + 232 T^{3} + 978 T^{4} + 3016 T^{5} + 8112 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 48 T^{2} - 232 T^{3} + 978 T^{4} - 3016 T^{5} + 8112 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 32 T^{2} + 416 T^{4} - 7712 T^{6} + 143394 T^{8} - 1303328 T^{10} + 11881376 T^{12} - 154457888 T^{14} + 815730721 T^{16} \))(\( 1 - 32 T^{2} + 416 T^{4} - 7712 T^{6} + 143394 T^{8} - 1303328 T^{10} + 11881376 T^{12} - 154457888 T^{14} + 815730721 T^{16} \))(\( 1 - 96 T^{2} + 4736 T^{4} - 161888 T^{6} + 4316228 T^{8} - 94839840 T^{10} + 1765928832 T^{12} - 28312412704 T^{14} + 394326531270 T^{16} - 4784797746976 T^{18} + 50436693370752 T^{20} - 457773793270560 T^{22} + 3520879778440388 T^{24} - 22317635528450912 T^{26} + 110339731140070016 T^{28} - 377988133027131744 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 84 T^{2} + 3350 T^{4} - 88392 T^{6} + 1800769 T^{8} - 30564216 T^{10} + 453375110 T^{12} - 6200312460 T^{14} + 81612322276 T^{16} - 1047852805740 T^{18} + 12948846516710 T^{20} - 147527632866744 T^{22} + 1468942594724449 T^{24} - 12185587811516808 T^{26} + 78048585160311350 T^{28} - 330739616398740276 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 84 T^{2} + 3350 T^{4} - 88392 T^{6} + 1800769 T^{8} - 30564216 T^{10} + 453375110 T^{12} - 6200312460 T^{14} + 81612322276 T^{16} - 1047852805740 T^{18} + 12948846516710 T^{20} - 147527632866744 T^{22} + 1468942594724449 T^{24} - 12185587811516808 T^{26} + 78048585160311350 T^{28} - 330739616398740276 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 96 T^{2} + 4736 T^{4} - 161888 T^{6} + 4316228 T^{8} - 94839840 T^{10} + 1765928832 T^{12} - 28312412704 T^{14} + 394326531270 T^{16} - 4784797746976 T^{18} + 50436693370752 T^{20} - 457773793270560 T^{22} + 3520879778440388 T^{24} - 22317635528450912 T^{26} + 110339731140070016 T^{28} - 377988133027131744 T^{30} + 665416609183179841 T^{32} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 20 T^{2} + 246 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( 1 - 48 T^{2} + 1340 T^{4} - 26704 T^{6} + 396198 T^{8} - 4512976 T^{10} + 38271740 T^{12} - 231686832 T^{14} + 815730721 T^{16} \))(\( ( 1 - 38 T^{2} + 727 T^{4} - 10196 T^{6} + 122863 T^{8} - 1085318 T^{10} + 4826809 T^{12} )^{2} \))(\( 1 - 100 T^{2} + 4806 T^{4} - 150088 T^{6} + 3520657 T^{8} - 68555000 T^{10} + 1181595574 T^{12} - 18362889724 T^{14} + 254156880260 T^{16} - 3103328363356 T^{18} + 33747551189014 T^{20} - 330901890995000 T^{22} + 2871908073003697 T^{24} - 20690905324632712 T^{26} + 111970597098643686 T^{28} - 393737638569928900 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 100 T^{2} + 4806 T^{4} - 150088 T^{6} + 3520657 T^{8} - 68555000 T^{10} + 1181595574 T^{12} - 18362889724 T^{14} + 254156880260 T^{16} - 3103328363356 T^{18} + 33747551189014 T^{20} - 330901890995000 T^{22} + 2871908073003697 T^{24} - 20690905324632712 T^{26} + 111970597098643686 T^{28} - 393737638569928900 T^{30} + 665416609183179841 T^{32} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 + 8 T + 38 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 38 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 - 6 T + 27 T^{2} - 108 T^{3} + 459 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 6 T + 27 T^{2} + 108 T^{3} + 459 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 27 T^{2} - 108 T^{3} + 459 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 6 T + 27 T^{2} + 108 T^{3} + 459 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 + 4 T + 44 T^{2} + 84 T^{3} + 818 T^{4} + 1428 T^{5} + 12716 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 84 T^{3} + 818 T^{4} - 1428 T^{5} + 12716 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 44 T^{2} + 84 T^{3} + 818 T^{4} + 1428 T^{5} + 12716 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 84 T^{3} + 818 T^{4} - 1428 T^{5} + 12716 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 120 T^{2} + 6520 T^{4} - 209816 T^{6} + 4377266 T^{8} - 60636824 T^{10} + 544556920 T^{12} - 2896508280 T^{14} + 6975757441 T^{16} \))(\( 1 - 120 T^{2} + 6520 T^{4} - 209816 T^{6} + 4377266 T^{8} - 60636824 T^{10} + 544556920 T^{12} - 2896508280 T^{14} + 6975757441 T^{16} \))(\( 1 - 56 T^{2} + 2424 T^{4} - 66136 T^{6} + 1463604 T^{8} - 22625736 T^{10} + 269092456 T^{12} - 1799191016 T^{14} + 15077956454 T^{16} - 519966203624 T^{18} + 22474871017576 T^{20} - 546130263875784 T^{22} + 10209746493677364 T^{24} - 133329772600095064 T^{26} + 1412276303044940664 T^{28} - 9429158287326452024 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 96 T^{2} + 5464 T^{4} - 222112 T^{6} + 7128796 T^{8} - 189554400 T^{10} + 4330953320 T^{12} - 86967637280 T^{14} + 1560898035654 T^{16} - 25133647173920 T^{18} + 361725552239720 T^{20} - 4575382409253600 T^{22} + 49728751742371036 T^{24} - 447776437216528288 T^{26} + 3183447904223414104 T^{28} - 16164271349702489184 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 96 T^{2} + 5464 T^{4} - 222112 T^{6} + 7128796 T^{8} - 189554400 T^{10} + 4330953320 T^{12} - 86967637280 T^{14} + 1560898035654 T^{16} - 25133647173920 T^{18} + 361725552239720 T^{20} - 4575382409253600 T^{22} + 49728751742371036 T^{24} - 447776437216528288 T^{26} + 3183447904223414104 T^{28} - 16164271349702489184 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 56 T^{2} + 2424 T^{4} - 66136 T^{6} + 1463604 T^{8} - 22625736 T^{10} + 269092456 T^{12} - 1799191016 T^{14} + 15077956454 T^{16} - 519966203624 T^{18} + 22474871017576 T^{20} - 546130263875784 T^{22} + 10209746493677364 T^{24} - 133329772600095064 T^{26} + 1412276303044940664 T^{28} - 9429158287326452024 T^{30} + 48661191875666868481 T^{32} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 8 T^{2} + 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 38 T^{2} + 70 T^{3} + 706 T^{4} + 1190 T^{5} + 10982 T^{6} + 9826 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 + 22 T^{2} + 499 T^{4} + 8188 T^{6} + 144211 T^{8} + 1837462 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 + 60 T^{2} - 104 T^{3} + 1884 T^{4} - 5096 T^{5} + 49476 T^{6} - 110512 T^{7} + 1016006 T^{8} - 1878704 T^{9} + 14298564 T^{10} - 25036648 T^{11} + 157353564 T^{12} - 147665128 T^{13} + 1448254140 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 60 T^{2} + 104 T^{3} + 1884 T^{4} + 5096 T^{5} + 49476 T^{6} + 110512 T^{7} + 1016006 T^{8} + 1878704 T^{9} + 14298564 T^{10} + 25036648 T^{11} + 157353564 T^{12} + 147665128 T^{13} + 1448254140 T^{14} + 6975757441 T^{16} )^{2} \))
$19$ (\( 1 - T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 361 T^{4} \))(\( 1 - 10 T^{2} + 361 T^{4} \))(\( ( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( 1 + 3 T + 21 T^{2} + 2 T^{3} + 399 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 + 3 T + 21 T^{2} + 2 T^{3} + 399 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 21 T^{2} - 2 T^{3} + 399 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 21 T^{2} - 2 T^{3} + 399 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + 8 T + 68 T^{2} + 392 T^{3} + 1926 T^{4} + 7448 T^{5} + 24548 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 + 8 T + 68 T^{2} + 392 T^{3} + 1926 T^{4} + 7448 T^{5} + 24548 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 68 T^{2} - 392 T^{3} + 1926 T^{4} - 7448 T^{5} + 24548 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 68 T^{2} - 392 T^{3} + 1926 T^{4} - 7448 T^{5} + 24548 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( ( 1 + 52 T^{2} - 32 T^{3} + 1262 T^{4} - 608 T^{5} + 18772 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 52 T^{2} + 32 T^{3} + 1262 T^{4} + 608 T^{5} + 18772 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 96 T^{2} + 96 T^{3} + 4372 T^{4} + 7584 T^{5} + 129344 T^{6} + 261056 T^{7} + 2815798 T^{8} + 4960064 T^{9} + 46693184 T^{10} + 52018656 T^{11} + 569763412 T^{12} + 237705504 T^{13} + 4516404576 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 4 T + 62 T^{2} - 272 T^{3} + 1825 T^{4} - 9024 T^{5} + 36646 T^{6} - 213060 T^{7} + 670164 T^{8} - 4048140 T^{9} + 13229206 T^{10} - 61895616 T^{11} + 237835825 T^{12} - 673498928 T^{13} + 2916844622 T^{14} - 3575486956 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 4 T + 62 T^{2} + 272 T^{3} + 1825 T^{4} + 9024 T^{5} + 36646 T^{6} + 213060 T^{7} + 670164 T^{8} + 4048140 T^{9} + 13229206 T^{10} + 61895616 T^{11} + 237835825 T^{12} + 673498928 T^{13} + 2916844622 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 96 T^{2} - 96 T^{3} + 4372 T^{4} - 7584 T^{5} + 129344 T^{6} - 261056 T^{7} + 2815798 T^{8} - 4960064 T^{9} + 46693184 T^{10} - 52018656 T^{11} + 569763412 T^{12} - 237705504 T^{13} + 4516404576 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} \))(\( 1 - 64 T^{2} + 2012 T^{4} - 42432 T^{6} + 793446 T^{8} - 15317952 T^{10} + 262205852 T^{12} - 3010936384 T^{14} + 16983563041 T^{16} \))(\( ( 1 - 58 T^{2} + 1943 T^{4} - 45420 T^{6} + 701423 T^{8} - 7558618 T^{10} + 47045881 T^{12} )^{2} \))(\( 1 - 164 T^{2} + 13558 T^{4} - 749584 T^{6} + 31117921 T^{8} - 1033294024 T^{10} + 28539035814 T^{12} - 672200972644 T^{14} + 13698170163236 T^{16} - 242664551124484 T^{18} + 3719235686316294 T^{20} - 48612227691115144 T^{22} + 528493173008357761 T^{24} - 4595749169787504784 T^{26} + 30008123672699010838 T^{28} - \)\(13\!\cdots\!44\)\( T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 164 T^{2} + 13558 T^{4} - 749584 T^{6} + 31117921 T^{8} - 1033294024 T^{10} + 28539035814 T^{12} - 672200972644 T^{14} + 13698170163236 T^{16} - 242664551124484 T^{18} + 3719235686316294 T^{20} - 48612227691115144 T^{22} + 528493173008357761 T^{24} - 4595749169787504784 T^{26} + 30008123672699010838 T^{28} - \)\(13\!\cdots\!44\)\( T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 6 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 + 38 T^{2} + 529 T^{4} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( 1 + 38 T^{2} + 529 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 38 T^{2} + 529 T^{4} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( 1 + 38 T^{2} + 529 T^{4} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 - 6 T + 45 T^{2} - 180 T^{3} + 1035 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 45 T^{2} + 180 T^{3} + 1035 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 45 T^{2} + 180 T^{3} + 1035 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 - 6 T + 45 T^{2} - 180 T^{3} + 1035 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 780 T^{3} + 4350 T^{4} - 17940 T^{5} + 63480 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 + 12 T + 120 T^{2} + 780 T^{3} + 4350 T^{4} + 17940 T^{5} + 63480 T^{6} + 146004 T^{7} + 279841 T^{8} \))(\( 1 + 12 T + 120 T^{2} + 780 T^{3} + 4350 T^{4} + 17940 T^{5} + 63480 T^{6} + 146004 T^{7} + 279841 T^{8} \))(\( 1 - 12 T + 120 T^{2} - 780 T^{3} + 4350 T^{4} - 17940 T^{5} + 63480 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 - 144 T^{2} + 9428 T^{4} - 376368 T^{6} + 10282534 T^{8} - 199098672 T^{10} + 2638340948 T^{12} - 21317168016 T^{14} + 78310985281 T^{16} \))(\( 1 - 144 T^{2} + 9428 T^{4} - 376368 T^{6} + 10282534 T^{8} - 199098672 T^{10} + 2638340948 T^{12} - 21317168016 T^{14} + 78310985281 T^{16} \))(\( 1 - 104 T^{2} + 6512 T^{4} - 319544 T^{6} + 12870876 T^{8} - 443214824 T^{10} + 13501946256 T^{12} - 365567174264 T^{14} + 8855048294598 T^{16} - 193385035185656 T^{18} + 3778398142225296 T^{20} - 65611700488818536 T^{22} + 1007930980989576156 T^{24} - 13237593099254256056 T^{26} + \)\(14\!\cdots\!52\)\( T^{28} - \)\(12\!\cdots\!36\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 176 T^{2} + 15512 T^{4} - 930704 T^{6} + 43066588 T^{8} - 1634857520 T^{10} + 52718304808 T^{12} - 1474634564496 T^{14} + 36166127978310 T^{16} - 780081684618384 T^{18} + 14752743135775528 T^{20} - 242017586361535280 T^{22} + 3372586938970891228 T^{24} - 38555819692587978896 T^{26} + \)\(33\!\cdots\!52\)\( T^{28} - \)\(20\!\cdots\!84\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 176 T^{2} + 15512 T^{4} - 930704 T^{6} + 43066588 T^{8} - 1634857520 T^{10} + 52718304808 T^{12} - 1474634564496 T^{14} + 36166127978310 T^{16} - 780081684618384 T^{18} + 14752743135775528 T^{20} - 242017586361535280 T^{22} + 3372586938970891228 T^{24} - 38555819692587978896 T^{26} + \)\(33\!\cdots\!52\)\( T^{28} - \)\(20\!\cdots\!84\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 104 T^{2} + 6512 T^{4} - 319544 T^{6} + 12870876 T^{8} - 443214824 T^{10} + 13501946256 T^{12} - 365567174264 T^{14} + 8855048294598 T^{16} - 193385035185656 T^{18} + 3778398142225296 T^{20} - 65611700488818536 T^{22} + 1007930980989576156 T^{24} - 13237593099254256056 T^{26} + \)\(14\!\cdots\!52\)\( T^{28} - \)\(12\!\cdots\!36\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 10 T + 68 T^{2} - 230 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 6 T + 74 T^{2} + 334 T^{3} + 2282 T^{4} + 7682 T^{5} + 39146 T^{6} + 73002 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 2 T + 55 T^{2} - 60 T^{3} + 1265 T^{4} - 1058 T^{5} + 12167 T^{6} )^{4} \))(\( ( 1 + 4 T + 64 T^{2} + 76 T^{3} + 1796 T^{4} - 2708 T^{5} + 37408 T^{6} - 143580 T^{7} + 843766 T^{8} - 3302340 T^{9} + 19788832 T^{10} - 32948236 T^{11} + 502594436 T^{12} + 489162068 T^{13} + 9474296896 T^{14} + 13619301788 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 4 T + 64 T^{2} + 76 T^{3} + 1796 T^{4} - 2708 T^{5} + 37408 T^{6} - 143580 T^{7} + 843766 T^{8} - 3302340 T^{9} + 19788832 T^{10} - 32948236 T^{11} + 502594436 T^{12} + 489162068 T^{13} + 9474296896 T^{14} + 13619301788 T^{15} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 60 T^{2} + 128 T^{3} + 1862 T^{4} + 3712 T^{5} + 50460 T^{6} + 707281 T^{8} \))(\( 1 + 60 T^{2} + 128 T^{3} + 1862 T^{4} + 3712 T^{5} + 50460 T^{6} + 707281 T^{8} \))(\( 1 + 60 T^{2} + 128 T^{3} + 1862 T^{4} + 3712 T^{5} + 50460 T^{6} + 707281 T^{8} \))(\( 1 + 60 T^{2} + 128 T^{3} + 1862 T^{4} + 3712 T^{5} + 50460 T^{6} + 707281 T^{8} \))(\( ( 1 + 8 T + 128 T^{2} + 696 T^{3} + 5738 T^{4} + 20184 T^{5} + 107648 T^{6} + 195112 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 8 T + 128 T^{2} + 696 T^{3} + 5738 T^{4} + 20184 T^{5} + 107648 T^{6} + 195112 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 8 T + 112 T^{2} - 152 T^{3} + 1852 T^{4} + 18360 T^{5} + 57168 T^{6} + 214184 T^{7} + 4779158 T^{8} + 6211336 T^{9} + 48078288 T^{10} + 447782040 T^{11} + 1309884412 T^{12} - 3117694648 T^{13} + 66620211952 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 126 T^{2} + 96 T^{3} + 8529 T^{4} + 8640 T^{5} + 396966 T^{6} + 391008 T^{7} + 13413812 T^{8} + 11339232 T^{9} + 333848406 T^{10} + 210720960 T^{11} + 6032399649 T^{12} + 1969070304 T^{13} + 74947738446 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 126 T^{2} + 96 T^{3} + 8529 T^{4} + 8640 T^{5} + 396966 T^{6} + 391008 T^{7} + 13413812 T^{8} + 11339232 T^{9} + 333848406 T^{10} + 210720960 T^{11} + 6032399649 T^{12} + 1969070304 T^{13} + 74947738446 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 8 T + 112 T^{2} - 152 T^{3} + 1852 T^{4} + 18360 T^{5} + 57168 T^{6} + 214184 T^{7} + 4779158 T^{8} + 6211336 T^{9} + 48078288 T^{10} + 447782040 T^{11} + 1309884412 T^{12} - 3117694648 T^{13} + 66620211952 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} )^{2} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 16 T^{2} + 2876 T^{4} - 34928 T^{6} + 3439654 T^{8} - 29374448 T^{10} + 2034140156 T^{12} - 9517173136 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 86 T^{2} + 4471 T^{4} - 157556 T^{6} + 3760111 T^{8} - 60826166 T^{10} + 594823321 T^{12} )^{2} \))(\( 1 - 272 T^{2} + 37054 T^{4} - 3373512 T^{6} + 230091697 T^{8} - 12462848880 T^{10} + 554200731422 T^{12} - 20629642474872 T^{14} + 649478993241604 T^{16} - 17349529321367352 T^{18} + 391975647520883582 T^{20} - 7413193159922730480 T^{22} + \)\(11\!\cdots\!17\)\( T^{24} - \)\(14\!\cdots\!12\)\( T^{26} + \)\(13\!\cdots\!14\)\( T^{28} - \)\(80\!\cdots\!32\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 272 T^{2} + 37054 T^{4} - 3373512 T^{6} + 230091697 T^{8} - 12462848880 T^{10} + 554200731422 T^{12} - 20629642474872 T^{14} + 649478993241604 T^{16} - 17349529321367352 T^{18} + 391975647520883582 T^{20} - 7413193159922730480 T^{22} + \)\(11\!\cdots\!17\)\( T^{24} - \)\(14\!\cdots\!12\)\( T^{26} + \)\(13\!\cdots\!14\)\( T^{28} - \)\(80\!\cdots\!32\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 3 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( 1 - 8 T + 30 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 3 T + 72 T^{2} + 139 T^{3} + 2232 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 + 3 T + 72 T^{2} + 139 T^{3} + 2232 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 72 T^{2} - 139 T^{3} + 2232 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 72 T^{2} - 139 T^{3} + 2232 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 - 8 T + 84 T^{2} - 616 T^{3} + 3222 T^{4} - 19096 T^{5} + 80724 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 84 T^{2} - 616 T^{3} + 3222 T^{4} - 19096 T^{5} + 80724 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 84 T^{2} + 616 T^{3} + 3222 T^{4} + 19096 T^{5} + 80724 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 84 T^{2} + 616 T^{3} + 3222 T^{4} + 19096 T^{5} + 80724 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( ( 1 + 36 T^{2} + 288 T^{3} + 446 T^{4} + 8928 T^{5} + 34596 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 36 T^{2} - 288 T^{3} + 446 T^{4} - 8928 T^{5} + 34596 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 16 T + 288 T^{2} + 2864 T^{3} + 30132 T^{4} + 222384 T^{5} + 1738496 T^{6} + 10307984 T^{7} + 65217366 T^{8} + 319547504 T^{9} + 1670694656 T^{10} + 6625041744 T^{11} + 27827534772 T^{12} + 81993888464 T^{13} + 255601060128 T^{14} + 440201825776 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 4 T + 108 T^{2} - 720 T^{3} + 7282 T^{4} - 49076 T^{5} + 367584 T^{6} - 2162316 T^{7} + 13238715 T^{8} - 67031796 T^{9} + 353248224 T^{10} - 1462023116 T^{11} + 6725079922 T^{12} - 20612988720 T^{13} + 95850397548 T^{14} - 110050456444 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 4 T + 108 T^{2} + 720 T^{3} + 7282 T^{4} + 49076 T^{5} + 367584 T^{6} + 2162316 T^{7} + 13238715 T^{8} + 67031796 T^{9} + 353248224 T^{10} + 1462023116 T^{11} + 6725079922 T^{12} + 20612988720 T^{13} + 95850397548 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 16 T + 288 T^{2} - 2864 T^{3} + 30132 T^{4} - 222384 T^{5} + 1738496 T^{6} - 10307984 T^{7} + 65217366 T^{8} - 319547504 T^{9} + 1670694656 T^{10} - 6625041744 T^{11} + 27827534772 T^{12} - 81993888464 T^{13} + 255601060128 T^{14} - 440201825776 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{4} \))(\( ( 1 - 4 T + 80 T^{2} - 244 T^{3} + 3294 T^{4} - 7564 T^{5} + 76880 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 34 T^{2} + 2367 T^{4} + 46780 T^{6} + 2274687 T^{8} + 31399714 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 12 T + 158 T^{2} + 1436 T^{3} + 12616 T^{4} + 93336 T^{5} + 650036 T^{6} + 4060448 T^{7} + 23475953 T^{8} + 125873888 T^{9} + 624684596 T^{10} + 2780572776 T^{11} + 11651140936 T^{12} + 41111460836 T^{13} + 140225581598 T^{14} + 330151369332 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 12 T + 158 T^{2} - 1436 T^{3} + 12616 T^{4} - 93336 T^{5} + 650036 T^{6} - 4060448 T^{7} + 23475953 T^{8} - 125873888 T^{9} + 624684596 T^{10} - 2780572776 T^{11} + 11651140936 T^{12} - 41111460836 T^{13} + 140225581598 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 - 3 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( 1 - 3 T + 27 T^{2} + 146 T^{3} + 999 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 27 T^{2} + 146 T^{3} + 999 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 27 T^{2} + 146 T^{3} + 999 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 27 T^{2} + 146 T^{3} + 999 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( ( 1 + 42 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 42 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 42 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 42 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 80 T^{2} - 128 T^{3} + 3570 T^{4} - 4736 T^{5} + 109520 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 80 T^{2} - 128 T^{3} + 3570 T^{4} - 4736 T^{5} + 109520 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 160 T^{2} + 128 T^{3} + 12772 T^{4} + 19072 T^{5} + 687840 T^{6} + 1282304 T^{7} + 28456614 T^{8} + 47445248 T^{9} + 941652960 T^{10} + 966054016 T^{11} + 23936784292 T^{12} + 8876026496 T^{13} + 410516225440 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 4 T + 174 T^{2} + 720 T^{3} + 14617 T^{4} + 65384 T^{5} + 820734 T^{6} + 3742260 T^{7} + 34591524 T^{8} + 138463620 T^{9} + 1123584846 T^{10} + 3311895752 T^{11} + 27394611337 T^{12} + 49927649040 T^{13} + 446436395166 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 4 T + 174 T^{2} + 720 T^{3} + 14617 T^{4} + 65384 T^{5} + 820734 T^{6} + 3742260 T^{7} + 34591524 T^{8} + 138463620 T^{9} + 1123584846 T^{10} + 3311895752 T^{11} + 27394611337 T^{12} + 49927649040 T^{13} + 446436395166 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 160 T^{2} + 128 T^{3} + 12772 T^{4} + 19072 T^{5} + 687840 T^{6} + 1282304 T^{7} + 28456614 T^{8} + 47445248 T^{9} + 941652960 T^{10} + 966054016 T^{11} + 23936784292 T^{12} + 8876026496 T^{13} + 410516225440 T^{14} + 3512479453921 T^{16} )^{2} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 44 T^{2} + 2454 T^{4} - 60236 T^{6} + 1874161 T^{8} \))(\( 1 - 192 T^{2} + 18716 T^{4} - 1175872 T^{6} + 51538086 T^{8} - 1609768768 T^{10} + 35076797276 T^{12} - 492619470528 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 134 T^{2} + 9575 T^{4} - 437076 T^{6} + 13108175 T^{8} - 251137574 T^{10} + 2565726409 T^{12} )^{2} \))(\( 1 - 268 T^{2} + 35622 T^{4} - 3120016 T^{6} + 202483345 T^{8} - 10463153720 T^{10} + 457545862582 T^{12} - 18009652137868 T^{14} + 674749131388676 T^{16} - 24655213776741292 T^{18} + 857514611362543702 T^{20} - 26845589820830591480 T^{22} + \)\(71\!\cdots\!45\)\( T^{24} - \)\(15\!\cdots\!84\)\( T^{26} + \)\(23\!\cdots\!82\)\( T^{28} - \)\(24\!\cdots\!52\)\( T^{30} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 268 T^{2} + 35622 T^{4} - 3120016 T^{6} + 202483345 T^{8} - 10463153720 T^{10} + 457545862582 T^{12} - 18009652137868 T^{14} + 674749131388676 T^{16} - 24655213776741292 T^{18} + 857514611362543702 T^{20} - 26845589820830591480 T^{22} + \)\(71\!\cdots\!45\)\( T^{24} - \)\(15\!\cdots\!84\)\( T^{26} + \)\(23\!\cdots\!82\)\( T^{28} - \)\(24\!\cdots\!52\)\( T^{30} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 + 6 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 10 T^{2} + 1681 T^{4} \))(\( 1 + 80 T^{2} + 1681 T^{4} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( 1 + 32 T^{2} + 1681 T^{4} \))(\( 1 + 16 T + 134 T^{2} + 656 T^{3} + 1681 T^{4} \))(\( 1 + 16 T + 134 T^{2} + 656 T^{3} + 1681 T^{4} \))(\( 1 + 32 T^{2} + 1681 T^{4} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( 1 + 80 T^{2} + 1681 T^{4} \))(\( 1 + 10 T^{2} + 1681 T^{4} \))(\( 1 + 6 T + 27 T^{2} - 20 T^{3} + 1107 T^{4} + 10086 T^{5} + 68921 T^{6} \))(\( 1 - 6 T + 27 T^{2} + 20 T^{3} + 1107 T^{4} - 10086 T^{5} + 68921 T^{6} \))(\( 1 + 6 T + 27 T^{2} - 20 T^{3} + 1107 T^{4} + 10086 T^{5} + 68921 T^{6} \))(\( 1 - 6 T + 27 T^{2} + 20 T^{3} + 1107 T^{4} - 10086 T^{5} + 68921 T^{6} \))(\( 1 + 20 T + 220 T^{2} + 1540 T^{3} + 9874 T^{4} + 63140 T^{5} + 369820 T^{6} + 1378420 T^{7} + 2825761 T^{8} \))(\( 1 - 20 T + 220 T^{2} - 1540 T^{3} + 9874 T^{4} - 63140 T^{5} + 369820 T^{6} - 1378420 T^{7} + 2825761 T^{8} \))(\( 1 + 20 T + 220 T^{2} + 1540 T^{3} + 9874 T^{4} + 63140 T^{5} + 369820 T^{6} + 1378420 T^{7} + 2825761 T^{8} \))(\( 1 - 20 T + 220 T^{2} - 1540 T^{3} + 9874 T^{4} - 63140 T^{5} + 369820 T^{6} - 1378420 T^{7} + 2825761 T^{8} \))(\( 1 - 72 T^{2} + 3224 T^{4} - 101672 T^{6} + 2882034 T^{8} - 170910632 T^{10} + 9110253464 T^{12} - 342007505352 T^{14} + 7984925229121 T^{16} \))(\( 1 - 72 T^{2} + 3224 T^{4} - 101672 T^{6} + 2882034 T^{8} - 170910632 T^{10} + 9110253464 T^{12} - 342007505352 T^{14} + 7984925229121 T^{16} \))(\( 1 - 328 T^{2} + 53656 T^{4} - 5869352 T^{6} + 486531124 T^{8} - 32808163896 T^{10} + 1878339038664 T^{12} - 93465540135704 T^{14} + 4083965777665254 T^{16} - 157115572968118424 T^{18} + 5307737200234223304 T^{20} - \)\(15\!\cdots\!36\)\( T^{22} + \)\(38\!\cdots\!04\)\( T^{24} - \)\(78\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!36\)\( T^{28} - \)\(12\!\cdots\!08\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 336 T^{2} + 56632 T^{4} - 6304752 T^{6} + 518498076 T^{8} - 33643406160 T^{10} + 1813689475976 T^{12} - 85242291537264 T^{14} + 3637250979607238 T^{16} - 143292292074140784 T^{18} + 5125052987323417736 T^{20} - \)\(15\!\cdots\!60\)\( T^{22} + \)\(41\!\cdots\!96\)\( T^{24} - \)\(84\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!92\)\( T^{28} - \)\(12\!\cdots\!96\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 336 T^{2} + 56632 T^{4} - 6304752 T^{6} + 518498076 T^{8} - 33643406160 T^{10} + 1813689475976 T^{12} - 85242291537264 T^{14} + 3637250979607238 T^{16} - 143292292074140784 T^{18} + 5125052987323417736 T^{20} - \)\(15\!\cdots\!60\)\( T^{22} + \)\(41\!\cdots\!96\)\( T^{24} - \)\(84\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!92\)\( T^{28} - \)\(12\!\cdots\!96\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 328 T^{2} + 53656 T^{4} - 5869352 T^{6} + 486531124 T^{8} - 32808163896 T^{10} + 1878339038664 T^{12} - 93465540135704 T^{14} + 4083965777665254 T^{16} - 157115572968118424 T^{18} + 5307737200234223304 T^{20} - \)\(15\!\cdots\!36\)\( T^{22} + \)\(38\!\cdots\!04\)\( T^{24} - \)\(78\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!36\)\( T^{28} - \)\(12\!\cdots\!08\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 8 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 134 T^{2} - 214 T^{3} + 7618 T^{4} - 8774 T^{5} + 225254 T^{6} - 137842 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 54 T^{2} + 3683 T^{4} + 164092 T^{6} + 6191123 T^{8} + 152591094 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 180 T^{2} - 352 T^{3} + 16596 T^{4} - 46816 T^{5} + 1088268 T^{6} - 2928320 T^{7} + 52572566 T^{8} - 120061120 T^{9} + 1829378508 T^{10} - 3226605536 T^{11} + 46896329556 T^{12} - 40781382752 T^{13} + 855018763380 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 180 T^{2} + 352 T^{3} + 16596 T^{4} + 46816 T^{5} + 1088268 T^{6} + 2928320 T^{7} + 52572566 T^{8} + 120061120 T^{9} + 1829378508 T^{10} + 3226605536 T^{11} + 46896329556 T^{12} + 40781382752 T^{13} + 855018763380 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 - 5 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 42 T^{2} + 1849 T^{4} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 + 43 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 + 43 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( 1 - 42 T^{2} + 1849 T^{4} \))(\( 1 + 15 T + 177 T^{2} + 1318 T^{3} + 7611 T^{4} + 27735 T^{5} + 79507 T^{6} \))(\( 1 - 15 T + 177 T^{2} - 1318 T^{3} + 7611 T^{4} - 27735 T^{5} + 79507 T^{6} \))(\( 1 - 15 T + 177 T^{2} - 1318 T^{3} + 7611 T^{4} - 27735 T^{5} + 79507 T^{6} \))(\( 1 + 15 T + 177 T^{2} + 1318 T^{3} + 7611 T^{4} + 27735 T^{5} + 79507 T^{6} \))(\( 1 + 8 T + 124 T^{2} + 648 T^{3} + 6710 T^{4} + 27864 T^{5} + 229276 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 124 T^{2} - 648 T^{3} + 6710 T^{4} - 27864 T^{5} + 229276 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 124 T^{2} - 648 T^{3} + 6710 T^{4} - 27864 T^{5} + 229276 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 124 T^{2} + 648 T^{3} + 6710 T^{4} + 27864 T^{5} + 229276 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 264 T^{2} + 32764 T^{4} - 2504824 T^{6} + 129395942 T^{8} - 4631419576 T^{10} + 112013595964 T^{12} - 1668839844936 T^{14} + 11688200277601 T^{16} \))(\( 1 - 264 T^{2} + 32764 T^{4} - 2504824 T^{6} + 129395942 T^{8} - 4631419576 T^{10} + 112013595964 T^{12} - 1668839844936 T^{14} + 11688200277601 T^{16} \))(\( 1 - 352 T^{2} + 58616 T^{4} - 6123040 T^{6} + 452995804 T^{8} - 25804971104 T^{10} + 1229112623688 T^{12} - 53473809177120 T^{14} + 2286650183362438 T^{16} - 98873073168494880 T^{18} + 4202091466977158088 T^{20} - \)\(16\!\cdots\!96\)\( T^{22} + \)\(52\!\cdots\!04\)\( T^{24} - \)\(13\!\cdots\!60\)\( T^{26} + \)\(23\!\cdots\!16\)\( T^{28} - \)\(26\!\cdots\!48\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 228 T^{2} + 31878 T^{4} - 3192264 T^{6} + 258267313 T^{8} - 17507868792 T^{10} + 1031738237334 T^{12} - 53260073427900 T^{14} + 2436766852473924 T^{16} - 98477875768187100 T^{18} + 3527307717535716534 T^{20} - \)\(11\!\cdots\!08\)\( T^{22} + \)\(30\!\cdots\!13\)\( T^{24} - \)\(68\!\cdots\!36\)\( T^{26} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(16\!\cdots\!72\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 228 T^{2} + 31878 T^{4} - 3192264 T^{6} + 258267313 T^{8} - 17507868792 T^{10} + 1031738237334 T^{12} - 53260073427900 T^{14} + 2436766852473924 T^{16} - 98477875768187100 T^{18} + 3527307717535716534 T^{20} - \)\(11\!\cdots\!08\)\( T^{22} + \)\(30\!\cdots\!13\)\( T^{24} - \)\(68\!\cdots\!36\)\( T^{26} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(16\!\cdots\!72\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 352 T^{2} + 58616 T^{4} - 6123040 T^{6} + 452995804 T^{8} - 25804971104 T^{10} + 1229112623688 T^{12} - 53473809177120 T^{14} + 2286650183362438 T^{16} - 98873073168494880 T^{18} + 4202091466977158088 T^{20} - \)\(16\!\cdots\!96\)\( T^{22} + \)\(52\!\cdots\!04\)\( T^{24} - \)\(13\!\cdots\!60\)\( T^{26} + \)\(23\!\cdots\!16\)\( T^{28} - \)\(26\!\cdots\!48\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 116 T^{2} + 6294 T^{4} - 214484 T^{6} + 3418801 T^{8} \))(\( 1 - 168 T^{2} + 15676 T^{4} - 1026520 T^{6} + 50753126 T^{8} - 1898035480 T^{10} + 53593124476 T^{12} - 1061988992232 T^{14} + 11688200277601 T^{16} \))(\( ( 1 - 110 T^{2} + 3351 T^{4} - 38948 T^{6} + 6195999 T^{8} - 376068110 T^{10} + 6321363049 T^{12} )^{2} \))(\( 1 - 316 T^{2} + 52502 T^{4} - 5988456 T^{6} + 523381697 T^{8} - 37223440008 T^{10} + 2237789996998 T^{12} - 116545244921716 T^{14} + 5333594473325732 T^{16} - 215492157860252884 T^{18} + 7650558679526759398 T^{20} - \)\(23\!\cdots\!92\)\( T^{22} + \)\(61\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!44\)\( T^{26} + \)\(20\!\cdots\!02\)\( T^{28} - \)\(23\!\cdots\!84\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 316 T^{2} + 52502 T^{4} - 5988456 T^{6} + 523381697 T^{8} - 37223440008 T^{10} + 2237789996998 T^{12} - 116545244921716 T^{14} + 5333594473325732 T^{16} - 215492157860252884 T^{18} + 7650558679526759398 T^{20} - \)\(23\!\cdots\!92\)\( T^{22} + \)\(61\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!44\)\( T^{26} + \)\(20\!\cdots\!02\)\( T^{28} - \)\(23\!\cdots\!84\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 4 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 12 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 62 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 62 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 - 12 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 12 T + 153 T^{2} + 1016 T^{3} + 7191 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 153 T^{2} + 1016 T^{3} + 7191 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 - 12 T + 153 T^{2} - 1016 T^{3} + 7191 T^{4} - 26508 T^{5} + 103823 T^{6} \))(\( 1 - 12 T + 153 T^{2} - 1016 T^{3} + 7191 T^{4} - 26508 T^{5} + 103823 T^{6} \))(\( 1 - 16 T + 164 T^{2} - 1232 T^{3} + 7990 T^{4} - 57904 T^{5} + 362276 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 164 T^{2} - 1232 T^{3} + 7990 T^{4} - 57904 T^{5} + 362276 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 + 16 T + 164 T^{2} + 1232 T^{3} + 7990 T^{4} + 57904 T^{5} + 362276 T^{6} + 1661168 T^{7} + 4879681 T^{8} \))(\( 1 + 16 T + 164 T^{2} + 1232 T^{3} + 7990 T^{4} + 57904 T^{5} + 362276 T^{6} + 1661168 T^{7} + 4879681 T^{8} \))(\( ( 1 + 8 T + 156 T^{2} + 712 T^{3} + 9342 T^{4} + 33464 T^{5} + 344604 T^{6} + 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 8 T + 156 T^{2} - 712 T^{3} + 9342 T^{4} - 33464 T^{5} + 344604 T^{6} - 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 8 T + 216 T^{2} - 1256 T^{3} + 21716 T^{4} - 94216 T^{5} + 1405448 T^{6} - 4900392 T^{7} + 71624470 T^{8} - 230318424 T^{9} + 3104634632 T^{10} - 9781787768 T^{11} + 105967152596 T^{12} - 288057328792 T^{13} + 2328310511064 T^{14} - 4052984963704 T^{15} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 8 T + 208 T^{2} - 1064 T^{3} + 17580 T^{4} - 48968 T^{5} + 887792 T^{6} - 839720 T^{7} + 39016358 T^{8} - 39466840 T^{9} + 1961132528 T^{10} - 5084004664 T^{11} + 85784791980 T^{12} - 244023087448 T^{13} + 2242076788432 T^{14} - 4052984963704 T^{15} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 8 T + 208 T^{2} + 1064 T^{3} + 17580 T^{4} + 48968 T^{5} + 887792 T^{6} + 839720 T^{7} + 39016358 T^{8} + 39466840 T^{9} + 1961132528 T^{10} + 5084004664 T^{11} + 85784791980 T^{12} + 244023087448 T^{13} + 2242076788432 T^{14} + 4052984963704 T^{15} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 8 T + 216 T^{2} + 1256 T^{3} + 21716 T^{4} + 94216 T^{5} + 1405448 T^{6} + 4900392 T^{7} + 71624470 T^{8} + 230318424 T^{9} + 3104634632 T^{10} + 9781787768 T^{11} + 105967152596 T^{12} + 288057328792 T^{13} + 2328310511064 T^{14} + 4052984963704 T^{15} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 12 T + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 44 T^{2} - 128 T^{3} + 3302 T^{4} - 6016 T^{5} + 97196 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 90 T^{2} + 6831 T^{4} + 357932 T^{6} + 15089679 T^{8} + 439171290 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 12 T + 316 T^{2} + 2900 T^{3} + 44364 T^{4} + 333716 T^{5} + 3774020 T^{6} + 23722700 T^{7} + 214612198 T^{8} + 1114966900 T^{9} + 8336810180 T^{10} + 34647396268 T^{11} + 216482167884 T^{12} + 665100520300 T^{13} + 3406232043964 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 12 T + 316 T^{2} - 2900 T^{3} + 44364 T^{4} - 333716 T^{5} + 3774020 T^{6} - 23722700 T^{7} + 214612198 T^{8} - 1114966900 T^{9} + 8336810180 T^{10} - 34647396268 T^{11} + 216482167884 T^{12} - 665100520300 T^{13} + 3406232043964 T^{14} - 6079477445556 T^{15} + 23811286661761 T^{16} )^{2} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 - 6 T + 78 T^{2} - 802 T^{3} + 4134 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 - 6 T + 78 T^{2} - 802 T^{3} + 4134 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 - 6 T + 78 T^{2} - 802 T^{3} + 4134 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 - 6 T + 78 T^{2} - 802 T^{3} + 4134 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 + 140 T^{2} - 128 T^{3} + 9494 T^{4} - 6784 T^{5} + 393260 T^{6} + 7890481 T^{8} \))(\( 1 + 140 T^{2} - 128 T^{3} + 9494 T^{4} - 6784 T^{5} + 393260 T^{6} + 7890481 T^{8} \))(\( 1 + 140 T^{2} - 128 T^{3} + 9494 T^{4} - 6784 T^{5} + 393260 T^{6} + 7890481 T^{8} \))(\( 1 + 140 T^{2} - 128 T^{3} + 9494 T^{4} - 6784 T^{5} + 393260 T^{6} + 7890481 T^{8} \))(\( ( 1 + 8 T + 188 T^{2} + 984 T^{3} + 13814 T^{4} + 52152 T^{5} + 528092 T^{6} + 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 8 T + 188 T^{2} + 984 T^{3} + 13814 T^{4} + 52152 T^{5} + 528092 T^{6} + 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 8 T + 240 T^{2} - 1848 T^{3} + 26812 T^{4} - 213256 T^{5} + 1967504 T^{6} - 16080760 T^{7} + 113535974 T^{8} - 852280280 T^{9} + 5526718736 T^{10} - 31748913512 T^{11} + 211559576572 T^{12} - 772825271064 T^{13} + 5319446670960 T^{14} - 9397689118696 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 + 8 T + 142 T^{2} + 1160 T^{3} + 13857 T^{4} + 77312 T^{5} + 903782 T^{6} + 4617488 T^{7} + 45729188 T^{8} + 244726864 T^{9} + 2538723638 T^{10} + 11509978624 T^{11} + 109338395217 T^{12} + 485106771880 T^{13} + 3147339280318 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 + 8 T + 142 T^{2} + 1160 T^{3} + 13857 T^{4} + 77312 T^{5} + 903782 T^{6} + 4617488 T^{7} + 45729188 T^{8} + 244726864 T^{9} + 2538723638 T^{10} + 11509978624 T^{11} + 109338395217 T^{12} + 485106771880 T^{13} + 3147339280318 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 8 T + 240 T^{2} - 1848 T^{3} + 26812 T^{4} - 213256 T^{5} + 1967504 T^{6} - 16080760 T^{7} + 113535974 T^{8} - 852280280 T^{9} + 5526718736 T^{10} - 31748913512 T^{11} + 211559576572 T^{12} - 772825271064 T^{13} + 5319446670960 T^{14} - 9397689118696 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( ( 1 + 2 T^{2} + 2809 T^{4} )^{2} \))(\( 1 - 336 T^{2} + 52604 T^{4} - 5027376 T^{6} + 321653350 T^{8} - 14121899184 T^{10} + 415070862524 T^{12} - 7447225339344 T^{14} + 62259690411361 T^{16} \))(\( ( 1 - 150 T^{2} + 8711 T^{4} - 372532 T^{6} + 24469199 T^{8} - 1183572150 T^{10} + 22164361129 T^{12} )^{2} \))(\( 1 - 544 T^{2} + 148686 T^{4} - 26947032 T^{6} + 3610955089 T^{8} - 378485439088 T^{10} + 32053352550654 T^{12} - 2235427014482904 T^{14} + 129691499872018660 T^{16} - 6279314483682477336 T^{18} + \)\(25\!\cdots\!74\)\( T^{20} - \)\(83\!\cdots\!52\)\( T^{22} + \)\(22\!\cdots\!29\)\( T^{24} - \)\(47\!\cdots\!68\)\( T^{26} + \)\(73\!\cdots\!26\)\( T^{28} - \)\(75\!\cdots\!36\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 544 T^{2} + 148686 T^{4} - 26947032 T^{6} + 3610955089 T^{8} - 378485439088 T^{10} + 32053352550654 T^{12} - 2235427014482904 T^{14} + 129691499872018660 T^{16} - 6279314483682477336 T^{18} + \)\(25\!\cdots\!74\)\( T^{20} - \)\(83\!\cdots\!52\)\( T^{22} + \)\(22\!\cdots\!29\)\( T^{24} - \)\(47\!\cdots\!68\)\( T^{26} + \)\(73\!\cdots\!26\)\( T^{28} - \)\(75\!\cdots\!36\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 6 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( ( 1 - 8 T + 59 T^{2} )^{2} \))(\( 1 - 16 T + 134 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 134 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( ( 1 + 8 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 59 T^{2} )^{2} \))(\( 1 + 12 T + 198 T^{2} + 1334 T^{3} + 11682 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 198 T^{2} + 1334 T^{3} + 11682 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 198 T^{2} - 1334 T^{3} + 11682 T^{4} - 41772 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 198 T^{2} - 1334 T^{3} + 11682 T^{4} - 41772 T^{5} + 205379 T^{6} \))(\( 1 + 84 T^{2} - 960 T^{3} + 1350 T^{4} - 56640 T^{5} + 292404 T^{6} + 12117361 T^{8} \))(\( 1 + 84 T^{2} - 960 T^{3} + 1350 T^{4} - 56640 T^{5} + 292404 T^{6} + 12117361 T^{8} \))(\( 1 + 84 T^{2} + 960 T^{3} + 1350 T^{4} + 56640 T^{5} + 292404 T^{6} + 12117361 T^{8} \))(\( 1 + 84 T^{2} + 960 T^{3} + 1350 T^{4} + 56640 T^{5} + 292404 T^{6} + 12117361 T^{8} \))(\( ( 1 - 24 T + 396 T^{2} - 4408 T^{3} + 38990 T^{4} - 260072 T^{5} + 1378476 T^{6} - 4929096 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 + 24 T + 396 T^{2} + 4408 T^{3} + 38990 T^{4} + 260072 T^{5} + 1378476 T^{6} + 4929096 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 + 8 T + 280 T^{2} + 2120 T^{3} + 36276 T^{4} + 252680 T^{5} + 3037960 T^{6} + 19283976 T^{7} + 196735030 T^{8} + 1137754584 T^{9} + 10575138760 T^{10} + 51895165720 T^{11} + 439569387636 T^{12} + 1515639513880 T^{13} + 11810549419480 T^{14} + 19909211878552 T^{15} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 4 T + 294 T^{2} - 960 T^{3} + 43313 T^{4} - 121152 T^{5} + 4198886 T^{6} - 10129588 T^{7} + 290232708 T^{8} - 597645692 T^{9} + 14616322166 T^{10} - 24882076608 T^{11} + 524839256993 T^{12} - 686327327040 T^{13} + 12401076890454 T^{14} - 9954605939276 T^{15} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 4 T + 294 T^{2} + 960 T^{3} + 43313 T^{4} + 121152 T^{5} + 4198886 T^{6} + 10129588 T^{7} + 290232708 T^{8} + 597645692 T^{9} + 14616322166 T^{10} + 24882076608 T^{11} + 524839256993 T^{12} + 686327327040 T^{13} + 12401076890454 T^{14} + 9954605939276 T^{15} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 8 T + 280 T^{2} - 2120 T^{3} + 36276 T^{4} - 252680 T^{5} + 3037960 T^{6} - 19283976 T^{7} + 196735030 T^{8} - 1137754584 T^{9} + 10575138760 T^{10} - 51895165720 T^{11} + 439569387636 T^{12} - 1515639513880 T^{13} + 11810549419480 T^{14} - 19909211878552 T^{15} + 146830437604321 T^{16} )^{2} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 12 T^{2} - 5290 T^{4} - 41772 T^{6} + 12117361 T^{8} \))(\( ( 1 - 102 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 82 T^{2} + 6519 T^{4} - 239452 T^{6} + 22692639 T^{8} - 993623602 T^{10} + 42180533641 T^{12} )^{2} \))(\( 1 - 468 T^{2} + 115454 T^{4} - 19737288 T^{6} + 2589811993 T^{8} - 274630736232 T^{10} + 24234062755598 T^{12} - 1809723290728284 T^{14} + 115390433014822228 T^{16} - 6299646775025156604 T^{18} + \)\(29\!\cdots\!78\)\( T^{20} - \)\(11\!\cdots\!12\)\( T^{22} + \)\(38\!\cdots\!53\)\( T^{24} - \)\(10\!\cdots\!88\)\( T^{26} + \)\(20\!\cdots\!74\)\( T^{28} - \)\(28\!\cdots\!48\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 468 T^{2} + 115454 T^{4} - 19737288 T^{6} + 2589811993 T^{8} - 274630736232 T^{10} + 24234062755598 T^{12} - 1809723290728284 T^{14} + 115390433014822228 T^{16} - 6299646775025156604 T^{18} + \)\(29\!\cdots\!78\)\( T^{20} - \)\(11\!\cdots\!12\)\( T^{22} + \)\(38\!\cdots\!53\)\( T^{24} - \)\(10\!\cdots\!88\)\( T^{26} + \)\(20\!\cdots\!74\)\( T^{28} - \)\(28\!\cdots\!48\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 120 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 104 T^{2} + 3721 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 104 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 120 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 18 T + 195 T^{2} + 1644 T^{3} + 11895 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 - 18 T + 195 T^{2} - 1644 T^{3} + 11895 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 195 T^{2} + 1644 T^{3} + 11895 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 - 18 T + 195 T^{2} - 1644 T^{3} + 11895 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 + 16 T + 288 T^{2} + 2768 T^{3} + 27282 T^{4} + 168848 T^{5} + 1071648 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 288 T^{2} - 2768 T^{3} + 27282 T^{4} - 168848 T^{5} + 1071648 T^{6} - 3631696 T^{7} + 13845841 T^{8} \))(\( 1 + 16 T + 288 T^{2} + 2768 T^{3} + 27282 T^{4} + 168848 T^{5} + 1071648 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 288 T^{2} - 2768 T^{3} + 27282 T^{4} - 168848 T^{5} + 1071648 T^{6} - 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 96 T^{2} + 15008 T^{4} - 963424 T^{6} + 84685218 T^{8} - 3584900704 T^{10} + 207798381728 T^{12} - 4945955938656 T^{14} + 191707312997281 T^{16} \))(\( 1 - 96 T^{2} + 15008 T^{4} - 963424 T^{6} + 84685218 T^{8} - 3584900704 T^{10} + 207798381728 T^{12} - 4945955938656 T^{14} + 191707312997281 T^{16} \))(\( 1 - 608 T^{2} + 173888 T^{4} - 31541600 T^{6} + 4159234372 T^{8} - 435013297440 T^{10} + 38189175210432 T^{12} - 2890460165808672 T^{14} + 189536057576304070 T^{16} - 10755402276974068512 T^{18} + \)\(52\!\cdots\!12\)\( T^{20} - \)\(22\!\cdots\!40\)\( T^{22} + \)\(79\!\cdots\!32\)\( T^{24} - \)\(22\!\cdots\!00\)\( T^{26} + \)\(46\!\cdots\!48\)\( T^{28} - \)\(60\!\cdots\!28\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 464 T^{2} + 112312 T^{4} - 18503920 T^{6} + 2310713564 T^{8} - 232440806864 T^{10} + 19634698647944 T^{12} - 1436275524073072 T^{14} + 92853602398033414 T^{16} - 5344381225075900912 T^{18} + \)\(27\!\cdots\!04\)\( T^{20} - \)\(11\!\cdots\!04\)\( T^{22} + \)\(44\!\cdots\!84\)\( T^{24} - \)\(13\!\cdots\!20\)\( T^{26} + \)\(29\!\cdots\!52\)\( T^{28} - \)\(45\!\cdots\!24\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 464 T^{2} + 112312 T^{4} - 18503920 T^{6} + 2310713564 T^{8} - 232440806864 T^{10} + 19634698647944 T^{12} - 1436275524073072 T^{14} + 92853602398033414 T^{16} - 5344381225075900912 T^{18} + \)\(27\!\cdots\!04\)\( T^{20} - \)\(11\!\cdots\!04\)\( T^{22} + \)\(44\!\cdots\!84\)\( T^{24} - \)\(13\!\cdots\!20\)\( T^{26} + \)\(29\!\cdots\!52\)\( T^{28} - \)\(45\!\cdots\!24\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 608 T^{2} + 173888 T^{4} - 31541600 T^{6} + 4159234372 T^{8} - 435013297440 T^{10} + 38189175210432 T^{12} - 2890460165808672 T^{14} + 189536057576304070 T^{16} - 10755402276974068512 T^{18} + \)\(52\!\cdots\!12\)\( T^{20} - \)\(22\!\cdots\!40\)\( T^{22} + \)\(79\!\cdots\!32\)\( T^{24} - \)\(22\!\cdots\!00\)\( T^{26} + \)\(46\!\cdots\!48\)\( T^{28} - \)\(60\!\cdots\!28\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + 14 T + 61 T^{2} )^{2} \))(\( 1 - 272 T^{2} + 35516 T^{4} - 3030896 T^{6} + 201654822 T^{8} - 11277964016 T^{10} + 491748888956 T^{12} - 14013541826192 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 150 T^{2} + 15287 T^{4} - 1067252 T^{6} + 56882927 T^{8} - 2076876150 T^{10} + 51520374361 T^{12} )^{2} \))(\( 1 - 568 T^{2} + 150136 T^{4} - 24117352 T^{6} + 2559964892 T^{8} - 179478295224 T^{10} + 7337878488008 T^{12} - 60944476294440 T^{14} - 8131194590571002 T^{16} - 226774396291611240 T^{18} + \)\(10\!\cdots\!28\)\( T^{20} - \)\(92\!\cdots\!64\)\( T^{22} + \)\(49\!\cdots\!52\)\( T^{24} - \)\(17\!\cdots\!52\)\( T^{26} + \)\(39\!\cdots\!56\)\( T^{28} - \)\(56\!\cdots\!88\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 568 T^{2} + 150136 T^{4} - 24117352 T^{6} + 2559964892 T^{8} - 179478295224 T^{10} + 7337878488008 T^{12} - 60944476294440 T^{14} - 8131194590571002 T^{16} - 226774396291611240 T^{18} + \)\(10\!\cdots\!28\)\( T^{20} - \)\(92\!\cdots\!64\)\( T^{22} + \)\(49\!\cdots\!52\)\( T^{24} - \)\(17\!\cdots\!52\)\( T^{26} + \)\(39\!\cdots\!56\)\( T^{28} - \)\(56\!\cdots\!88\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 - 7 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 16 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 + 6 T^{2} + 4489 T^{4} \))(\( 1 + 6 T^{2} + 4489 T^{4} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( 1 - 8 T + 102 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 102 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( 1 + 6 T^{2} + 4489 T^{4} \))(\( 1 + 6 T^{2} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 + 9 T + 189 T^{2} + 1042 T^{3} + 12663 T^{4} + 40401 T^{5} + 300763 T^{6} \))(\( 1 - 9 T + 189 T^{2} - 1042 T^{3} + 12663 T^{4} - 40401 T^{5} + 300763 T^{6} \))(\( 1 - 9 T + 189 T^{2} - 1042 T^{3} + 12663 T^{4} - 40401 T^{5} + 300763 T^{6} \))(\( 1 + 9 T + 189 T^{2} + 1042 T^{3} + 12663 T^{4} + 40401 T^{5} + 300763 T^{6} \))(\( 1 + 8 T + 124 T^{2} - 56 T^{3} + 3286 T^{4} - 3752 T^{5} + 556636 T^{6} + 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 124 T^{2} + 56 T^{3} + 3286 T^{4} + 3752 T^{5} + 556636 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 124 T^{2} + 56 T^{3} + 3286 T^{4} + 3752 T^{5} + 556636 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 8 T + 124 T^{2} - 56 T^{3} + 3286 T^{4} - 3752 T^{5} + 556636 T^{6} + 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 408 T^{2} + 78076 T^{4} - 9236584 T^{6} + 741872678 T^{8} - 41463025576 T^{10} + 1573318923196 T^{12} - 36907019924952 T^{14} + 406067677556641 T^{16} \))(\( 1 - 408 T^{2} + 78076 T^{4} - 9236584 T^{6} + 741872678 T^{8} - 41463025576 T^{10} + 1573318923196 T^{12} - 36907019924952 T^{14} + 406067677556641 T^{16} \))(\( 1 - 368 T^{2} + 71096 T^{4} - 9860816 T^{6} + 1124618972 T^{8} - 111695641968 T^{10} + 9791051823752 T^{12} - 762890860549968 T^{14} + 53605940649126406 T^{16} - 3424617073008806352 T^{18} + \)\(19\!\cdots\!92\)\( T^{20} - \)\(10\!\cdots\!92\)\( T^{22} + \)\(45\!\cdots\!52\)\( T^{24} - \)\(17\!\cdots\!84\)\( T^{26} + \)\(58\!\cdots\!56\)\( T^{28} - \)\(13\!\cdots\!72\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 564 T^{2} + 151174 T^{4} - 25766744 T^{6} + 3149065393 T^{8} - 295966748856 T^{10} + 22736193124310 T^{12} - 1544892605741404 T^{14} + 102258458754705156 T^{16} - 6935022907173162556 T^{18} + \)\(45\!\cdots\!10\)\( T^{20} - \)\(26\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!13\)\( T^{24} - \)\(46\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!14\)\( T^{28} - \)\(20\!\cdots\!56\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 564 T^{2} + 151174 T^{4} - 25766744 T^{6} + 3149065393 T^{8} - 295966748856 T^{10} + 22736193124310 T^{12} - 1544892605741404 T^{14} + 102258458754705156 T^{16} - 6935022907173162556 T^{18} + \)\(45\!\cdots\!10\)\( T^{20} - \)\(26\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!13\)\( T^{24} - \)\(46\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!14\)\( T^{28} - \)\(20\!\cdots\!56\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 368 T^{2} + 71096 T^{4} - 9860816 T^{6} + 1124618972 T^{8} - 111695641968 T^{10} + 9791051823752 T^{12} - 762890860549968 T^{14} + 53605940649126406 T^{16} - 3424617073008806352 T^{18} + \)\(19\!\cdots\!92\)\( T^{20} - \)\(10\!\cdots\!92\)\( T^{22} + \)\(45\!\cdots\!52\)\( T^{24} - \)\(17\!\cdots\!84\)\( T^{26} + \)\(58\!\cdots\!56\)\( T^{28} - \)\(13\!\cdots\!72\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( ( 1 - 98 T^{2} + 4489 T^{4} )^{2} \))(\( 1 - 344 T^{2} + 59996 T^{4} - 6783272 T^{6} + 536949606 T^{8} - 30450108008 T^{10} + 1208986655516 T^{12} - 31117683466136 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 302 T^{2} + 41799 T^{4} - 3489764 T^{6} + 187635711 T^{8} - 6085638542 T^{10} + 90458382169 T^{12} )^{2} \))(\( 1 - 436 T^{2} + 90646 T^{4} - 12031744 T^{6} + 1157131937 T^{8} - 87132862344 T^{10} + 5494500033830 T^{12} - 319421993493924 T^{14} + 19813239581623012 T^{16} - 1433885328794224836 T^{18} + \)\(11\!\cdots\!30\)\( T^{20} - \)\(78\!\cdots\!36\)\( T^{22} + \)\(46\!\cdots\!17\)\( T^{24} - \)\(21\!\cdots\!56\)\( T^{26} + \)\(74\!\cdots\!06\)\( T^{28} - \)\(16\!\cdots\!44\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 436 T^{2} + 90646 T^{4} - 12031744 T^{6} + 1157131937 T^{8} - 87132862344 T^{10} + 5494500033830 T^{12} - 319421993493924 T^{14} + 19813239581623012 T^{16} - 1433885328794224836 T^{18} + \)\(11\!\cdots\!30\)\( T^{20} - \)\(78\!\cdots\!36\)\( T^{22} + \)\(46\!\cdots\!17\)\( T^{24} - \)\(21\!\cdots\!56\)\( T^{26} + \)\(74\!\cdots\!06\)\( T^{28} - \)\(16\!\cdots\!44\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 - 16 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 14 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 - 58 T^{2} + 5041 T^{4} \))(\( 1 - 12 T + 166 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 166 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 58 T^{2} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 + 177 T^{2} + 32 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 + 177 T^{2} - 32 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 + 177 T^{2} - 32 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 + 177 T^{2} + 32 T^{3} + 12567 T^{4} + 357911 T^{6} \))(\( 1 - 12 T + 248 T^{2} - 2380 T^{3} + 25406 T^{4} - 168980 T^{5} + 1250168 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 12 T + 248 T^{2} + 2380 T^{3} + 25406 T^{4} + 168980 T^{5} + 1250168 T^{6} + 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 12 T + 248 T^{2} + 2380 T^{3} + 25406 T^{4} + 168980 T^{5} + 1250168 T^{6} + 4294932 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T + 248 T^{2} - 2380 T^{3} + 25406 T^{4} - 168980 T^{5} + 1250168 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 - 224 T^{2} + 24820 T^{4} - 1934496 T^{6} + 137413862 T^{8} - 9751794336 T^{10} + 630717922420 T^{12} - 28694463598304 T^{14} + 645753531245761 T^{16} \))(\( 1 - 224 T^{2} + 24820 T^{4} - 1934496 T^{6} + 137413862 T^{8} - 9751794336 T^{10} + 630717922420 T^{12} - 28694463598304 T^{14} + 645753531245761 T^{16} \))(\( 1 - 376 T^{2} + 86032 T^{4} - 14491048 T^{6} + 1967339164 T^{8} - 224537380152 T^{10} + 22065026816752 T^{12} - 1895242682725032 T^{14} + 143217896760973894 T^{16} - 9553918363616886312 T^{18} + \)\(56\!\cdots\!12\)\( T^{20} - \)\(28\!\cdots\!92\)\( T^{22} + \)\(12\!\cdots\!04\)\( T^{24} - \)\(47\!\cdots\!48\)\( T^{26} + \)\(14\!\cdots\!12\)\( T^{28} - \)\(31\!\cdots\!56\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 704 T^{2} + 240152 T^{4} - 53098944 T^{6} + 8598903516 T^{8} - 1093483638336 T^{10} + 114258843245224 T^{12} - 10109733274809664 T^{14} + 770931618303563846 T^{16} - 50963165438315516224 T^{18} + \)\(29\!\cdots\!44\)\( T^{20} - \)\(14\!\cdots\!56\)\( T^{22} + \)\(55\!\cdots\!76\)\( T^{24} - \)\(17\!\cdots\!44\)\( T^{26} + \)\(39\!\cdots\!32\)\( T^{28} - \)\(58\!\cdots\!24\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 704 T^{2} + 240152 T^{4} - 53098944 T^{6} + 8598903516 T^{8} - 1093483638336 T^{10} + 114258843245224 T^{12} - 10109733274809664 T^{14} + 770931618303563846 T^{16} - 50963165438315516224 T^{18} + \)\(29\!\cdots\!44\)\( T^{20} - \)\(14\!\cdots\!56\)\( T^{22} + \)\(55\!\cdots\!76\)\( T^{24} - \)\(17\!\cdots\!44\)\( T^{26} + \)\(39\!\cdots\!32\)\( T^{28} - \)\(58\!\cdots\!24\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 376 T^{2} + 86032 T^{4} - 14491048 T^{6} + 1967339164 T^{8} - 224537380152 T^{10} + 22065026816752 T^{12} - 1895242682725032 T^{14} + 143217896760973894 T^{16} - 9553918363616886312 T^{18} + \)\(56\!\cdots\!12\)\( T^{20} - \)\(28\!\cdots\!92\)\( T^{22} + \)\(12\!\cdots\!04\)\( T^{24} - \)\(47\!\cdots\!48\)\( T^{26} + \)\(14\!\cdots\!12\)\( T^{28} - \)\(31\!\cdots\!56\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 18 T + 220 T^{2} + 1278 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 14 T + 194 T^{2} - 1686 T^{3} + 14330 T^{4} - 119706 T^{5} + 977954 T^{6} - 5010754 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 2 T + 159 T^{2} + 108 T^{3} + 11289 T^{4} + 10082 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 - 20 T + 508 T^{2} - 6028 T^{3} + 92076 T^{4} - 835884 T^{5} + 10510532 T^{6} - 82741940 T^{7} + 885589606 T^{8} - 5874677740 T^{9} + 52983591812 T^{10} - 299172078324 T^{11} + 2339805939756 T^{12} - 10875894527828 T^{13} + 65074944231868 T^{14} - 181902403167820 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 20 T + 508 T^{2} - 6028 T^{3} + 92076 T^{4} - 835884 T^{5} + 10510532 T^{6} - 82741940 T^{7} + 885589606 T^{8} - 5874677740 T^{9} + 52983591812 T^{10} - 299172078324 T^{11} + 2339805939756 T^{12} - 10875894527828 T^{13} + 65074944231868 T^{14} - 181902403167820 T^{15} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 + 3 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 12 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 - 3 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 3 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 12 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 3 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 3 T + 73 T^{2} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 - 16 T^{2} + 5329 T^{4} \))(\( 1 + 18 T^{2} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 18 T^{2} + 5329 T^{4} \))(\( 1 - 16 T^{2} + 5329 T^{4} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 - 33 T + 555 T^{2} - 5814 T^{3} + 40515 T^{4} - 175857 T^{5} + 389017 T^{6} \))(\( 1 + 33 T + 555 T^{2} + 5814 T^{3} + 40515 T^{4} + 175857 T^{5} + 389017 T^{6} \))(\( 1 - 33 T + 555 T^{2} - 5814 T^{3} + 40515 T^{4} - 175857 T^{5} + 389017 T^{6} \))(\( 1 + 33 T + 555 T^{2} + 5814 T^{3} + 40515 T^{4} + 175857 T^{5} + 389017 T^{6} \))(\( 1 + 8 T + 256 T^{2} + 1608 T^{3} + 27170 T^{4} + 117384 T^{5} + 1364224 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 256 T^{2} - 1608 T^{3} + 27170 T^{4} - 117384 T^{5} + 1364224 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T + 256 T^{2} + 1608 T^{3} + 27170 T^{4} + 117384 T^{5} + 1364224 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 256 T^{2} - 1608 T^{3} + 27170 T^{4} - 117384 T^{5} + 1364224 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 384 T^{2} + 75968 T^{4} - 9554560 T^{6} + 831993666 T^{8} - 50916250240 T^{10} + 2157357572288 T^{12} - 58112342894976 T^{14} + 806460091894081 T^{16} \))(\( 1 - 384 T^{2} + 75968 T^{4} - 9554560 T^{6} + 831993666 T^{8} - 50916250240 T^{10} + 2157357572288 T^{12} - 58112342894976 T^{14} + 806460091894081 T^{16} \))(\( 1 - 320 T^{2} + 64192 T^{4} - 9040448 T^{6} + 1010674820 T^{8} - 93316044992 T^{10} + 7535437289536 T^{12} - 560601554682304 T^{14} + 40832094573460358 T^{16} - 2987445684901998016 T^{18} + \)\(21\!\cdots\!76\)\( T^{20} - \)\(14\!\cdots\!88\)\( T^{22} + \)\(81\!\cdots\!20\)\( T^{24} - \)\(38\!\cdots\!52\)\( T^{26} + \)\(14\!\cdots\!32\)\( T^{28} - \)\(39\!\cdots\!80\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 324 T^{2} + 59078 T^{4} - 7927496 T^{6} + 897143825 T^{8} - 89313726808 T^{10} + 8084602400470 T^{12} - 672650283201180 T^{14} + 51471106024694884 T^{16} - 3584553359179088220 T^{18} + \)\(22\!\cdots\!70\)\( T^{20} - \)\(13\!\cdots\!12\)\( T^{22} + \)\(72\!\cdots\!25\)\( T^{24} - \)\(34\!\cdots\!04\)\( T^{26} + \)\(13\!\cdots\!38\)\( T^{28} - \)\(39\!\cdots\!16\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 324 T^{2} + 59078 T^{4} - 7927496 T^{6} + 897143825 T^{8} - 89313726808 T^{10} + 8084602400470 T^{12} - 672650283201180 T^{14} + 51471106024694884 T^{16} - 3584553359179088220 T^{18} + \)\(22\!\cdots\!70\)\( T^{20} - \)\(13\!\cdots\!12\)\( T^{22} + \)\(72\!\cdots\!25\)\( T^{24} - \)\(34\!\cdots\!04\)\( T^{26} + \)\(13\!\cdots\!38\)\( T^{28} - \)\(39\!\cdots\!16\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 320 T^{2} + 64192 T^{4} - 9040448 T^{6} + 1010674820 T^{8} - 93316044992 T^{10} + 7535437289536 T^{12} - 560601554682304 T^{14} + 40832094573460358 T^{16} - 2987445684901998016 T^{18} + \)\(21\!\cdots\!76\)\( T^{20} - \)\(14\!\cdots\!88\)\( T^{22} + \)\(81\!\cdots\!20\)\( T^{24} - \)\(38\!\cdots\!52\)\( T^{26} + \)\(14\!\cdots\!32\)\( T^{28} - \)\(39\!\cdots\!80\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 + 24 T + 278 T^{2} + 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 4 T + 92 T^{2} + 580 T^{3} + 166 T^{4} + 42340 T^{5} + 490268 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 246 T^{2} + 33663 T^{4} + 2976756 T^{6} + 179390127 T^{8} + 6985967286 T^{10} + 151334226289 T^{12} )^{2} \))(\( ( 1 + 4 T + 294 T^{2} + 1704 T^{3} + 49329 T^{4} + 290488 T^{5} + 5771734 T^{6} + 31337404 T^{7} + 487848132 T^{8} + 2287630492 T^{9} + 30757570486 T^{10} + 113004770296 T^{11} + 1400856830289 T^{12} + 3532513994472 T^{13} + 44492262528966 T^{14} + 44189594076388 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 4 T + 294 T^{2} - 1704 T^{3} + 49329 T^{4} - 290488 T^{5} + 5771734 T^{6} - 31337404 T^{7} + 487848132 T^{8} - 2287630492 T^{9} + 30757570486 T^{10} - 113004770296 T^{11} + 1400856830289 T^{12} - 3532513994472 T^{13} + 44492262528966 T^{14} - 44189594076388 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 11 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 - 17 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 9 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 9 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 17 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 126 T^{2} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 126 T^{2} + 6241 T^{4} \))(\( 1 - 27 T + 432 T^{2} - 4619 T^{3} + 34128 T^{4} - 168507 T^{5} + 493039 T^{6} \))(\( 1 + 27 T + 432 T^{2} + 4619 T^{3} + 34128 T^{4} + 168507 T^{5} + 493039 T^{6} \))(\( 1 + 27 T + 432 T^{2} + 4619 T^{3} + 34128 T^{4} + 168507 T^{5} + 493039 T^{6} \))(\( 1 - 27 T + 432 T^{2} - 4619 T^{3} + 34128 T^{4} - 168507 T^{5} + 493039 T^{6} \))(\( 1 - 16 T + 284 T^{2} - 2768 T^{3} + 31366 T^{4} - 218672 T^{5} + 1772444 T^{6} - 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 16 T + 284 T^{2} + 2768 T^{3} + 31366 T^{4} + 218672 T^{5} + 1772444 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 16 T + 284 T^{2} + 2768 T^{3} + 31366 T^{4} + 218672 T^{5} + 1772444 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 - 16 T + 284 T^{2} - 2768 T^{3} + 31366 T^{4} - 218672 T^{5} + 1772444 T^{6} - 7888624 T^{7} + 38950081 T^{8} \))(\( 1 - 488 T^{2} + 112220 T^{4} - 15867736 T^{6} + 1509752134 T^{8} - 99030540376 T^{10} + 4370978089820 T^{12} - 118626678294248 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 488 T^{2} + 112220 T^{4} - 15867736 T^{6} + 1509752134 T^{8} - 99030540376 T^{10} + 4370978089820 T^{12} - 118626678294248 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 416 T^{2} + 105528 T^{4} - 19621344 T^{6} + 2952811932 T^{8} - 373254052000 T^{10} + 40744332629384 T^{12} - 3884914037704672 T^{14} + 326725969154723910 T^{16} - 24245748509314857952 T^{18} + \)\(15\!\cdots\!04\)\( T^{20} - \)\(90\!\cdots\!00\)\( T^{22} + \)\(44\!\cdots\!52\)\( T^{24} - \)\(18\!\cdots\!44\)\( T^{26} + \)\(62\!\cdots\!48\)\( T^{28} - \)\(15\!\cdots\!96\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 760 T^{2} + 290996 T^{4} - 74257584 T^{6} + 14116881306 T^{8} - 2119182122856 T^{10} + 259820445901360 T^{12} - 26535436891172264 T^{14} + 2281162226961382115 T^{16} - \)\(16\!\cdots\!24\)\( T^{18} + \)\(10\!\cdots\!60\)\( T^{20} - \)\(51\!\cdots\!76\)\( T^{22} + \)\(21\!\cdots\!66\)\( T^{24} - \)\(70\!\cdots\!84\)\( T^{26} + \)\(17\!\cdots\!36\)\( T^{28} - \)\(28\!\cdots\!60\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 760 T^{2} + 290996 T^{4} - 74257584 T^{6} + 14116881306 T^{8} - 2119182122856 T^{10} + 259820445901360 T^{12} - 26535436891172264 T^{14} + 2281162226961382115 T^{16} - \)\(16\!\cdots\!24\)\( T^{18} + \)\(10\!\cdots\!60\)\( T^{20} - \)\(51\!\cdots\!76\)\( T^{22} + \)\(21\!\cdots\!66\)\( T^{24} - \)\(70\!\cdots\!84\)\( T^{26} + \)\(17\!\cdots\!36\)\( T^{28} - \)\(28\!\cdots\!60\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 416 T^{2} + 105528 T^{4} - 19621344 T^{6} + 2952811932 T^{8} - 373254052000 T^{10} + 40744332629384 T^{12} - 3884914037704672 T^{14} + 326725969154723910 T^{16} - 24245748509314857952 T^{18} + \)\(15\!\cdots\!04\)\( T^{20} - \)\(90\!\cdots\!00\)\( T^{22} + \)\(44\!\cdots\!52\)\( T^{24} - \)\(18\!\cdots\!44\)\( T^{26} + \)\(62\!\cdots\!48\)\( T^{28} - \)\(15\!\cdots\!96\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 20 T + 340 T^{2} - 3972 T^{3} + 38678 T^{4} - 313788 T^{5} + 2121940 T^{6} - 9860780 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 4 T + 213 T^{2} - 568 T^{3} + 16827 T^{4} - 24964 T^{5} + 493039 T^{6} )^{4} \))(\( ( 1 - 4 T + 342 T^{2} - 132 T^{3} + 45392 T^{4} + 233480 T^{5} + 3017028 T^{6} + 45789712 T^{7} + 169408409 T^{8} + 3617387248 T^{9} + 18829271748 T^{10} + 115114745720 T^{11} + 1768022076752 T^{12} - 406171444668 T^{13} + 83135909788182 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 4 T + 342 T^{2} - 132 T^{3} + 45392 T^{4} + 233480 T^{5} + 3017028 T^{6} + 45789712 T^{7} + 169408409 T^{8} + 3617387248 T^{9} + 18829271748 T^{10} + 115114745720 T^{11} + 1768022076752 T^{12} - 406171444668 T^{13} + 83135909788182 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( 1 + 18 T + 234 T^{2} + 2040 T^{3} + 19422 T^{4} + 124002 T^{5} + 571787 T^{6} \))(\( 1 + 18 T + 234 T^{2} + 2040 T^{3} + 19422 T^{4} + 124002 T^{5} + 571787 T^{6} \))(\( 1 - 18 T + 234 T^{2} - 2040 T^{3} + 19422 T^{4} - 124002 T^{5} + 571787 T^{6} \))(\( 1 - 18 T + 234 T^{2} - 2040 T^{3} + 19422 T^{4} - 124002 T^{5} + 571787 T^{6} \))(\( 1 + 204 T^{2} - 256 T^{3} + 21878 T^{4} - 21248 T^{5} + 1405356 T^{6} + 47458321 T^{8} \))(\( 1 + 204 T^{2} - 256 T^{3} + 21878 T^{4} - 21248 T^{5} + 1405356 T^{6} + 47458321 T^{8} \))(\( 1 + 204 T^{2} + 256 T^{3} + 21878 T^{4} + 21248 T^{5} + 1405356 T^{6} + 47458321 T^{8} \))(\( 1 + 204 T^{2} + 256 T^{3} + 21878 T^{4} + 21248 T^{5} + 1405356 T^{6} + 47458321 T^{8} \))(\( ( 1 - 32 T + 684 T^{2} - 9440 T^{3} + 101270 T^{4} - 783520 T^{5} + 4712076 T^{6} - 18297184 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 32 T + 684 T^{2} + 9440 T^{3} + 101270 T^{4} + 783520 T^{5} + 4712076 T^{6} + 18297184 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 16 T + 536 T^{2} + 7056 T^{3} + 129372 T^{4} + 1412240 T^{5} + 18911592 T^{6} + 172652176 T^{7} + 1874867686 T^{8} + 14330130608 T^{9} + 130281957288 T^{10} + 807500472880 T^{11} + 6139777904412 T^{12} + 27793870777008 T^{13} + 175240040125784 T^{14} + 434176815834032 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 4 T + 510 T^{2} + 1368 T^{3} + 119761 T^{4} + 213952 T^{5} + 17308534 T^{6} + 21965340 T^{7} + 1711141540 T^{8} + 1823123220 T^{9} + 119238490726 T^{10} + 122334972224 T^{11} + 5683655981281 T^{12} + 5388607599624 T^{13} + 166739590418190 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 4 T + 510 T^{2} - 1368 T^{3} + 119761 T^{4} - 213952 T^{5} + 17308534 T^{6} - 21965340 T^{7} + 1711141540 T^{8} - 1823123220 T^{9} + 119238490726 T^{10} - 122334972224 T^{11} + 5683655981281 T^{12} - 5388607599624 T^{13} + 166739590418190 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 16 T + 536 T^{2} - 7056 T^{3} + 129372 T^{4} - 1412240 T^{5} + 18911592 T^{6} - 172652176 T^{7} + 1874867686 T^{8} - 14330130608 T^{9} + 130281957288 T^{10} - 807500472880 T^{11} + 6139777904412 T^{12} - 27793870777008 T^{13} + 175240040125784 T^{14} - 434176815834032 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 300 T^{2} + 36086 T^{4} - 2066700 T^{6} + 47458321 T^{8} \))(\( 1 - 248 T^{2} + 44156 T^{4} - 5204488 T^{6} + 499369126 T^{8} - 35853717832 T^{10} + 2095569622076 T^{12} - 81081212595512 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 - 290 T^{2} + 46119 T^{4} - 4679804 T^{6} + 317713791 T^{8} - 13762913090 T^{10} + 326940373369 T^{12} )^{2} \))(\( 1 - 740 T^{2} + 257886 T^{4} - 55495416 T^{6} + 8085186777 T^{8} - 817204935272 T^{10} + 55990675617358 T^{12} - 2497913663796188 T^{14} + 114557186236452564 T^{16} - 17208127229891939132 T^{18} + \)\(26\!\cdots\!18\)\( T^{20} - \)\(26\!\cdots\!68\)\( T^{22} + \)\(18\!\cdots\!57\)\( T^{24} - \)\(86\!\cdots\!84\)\( T^{26} + \)\(27\!\cdots\!46\)\( T^{28} - \)\(54\!\cdots\!60\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 740 T^{2} + 257886 T^{4} - 55495416 T^{6} + 8085186777 T^{8} - 817204935272 T^{10} + 55990675617358 T^{12} - 2497913663796188 T^{14} + 114557186236452564 T^{16} - 17208127229891939132 T^{18} + \)\(26\!\cdots\!18\)\( T^{20} - \)\(26\!\cdots\!68\)\( T^{22} + \)\(18\!\cdots\!57\)\( T^{24} - \)\(86\!\cdots\!84\)\( T^{26} + \)\(27\!\cdots\!46\)\( T^{28} - \)\(54\!\cdots\!60\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 4 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 + 170 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 146 T^{2} + 7921 T^{4} \))(\( 1 + 176 T^{2} + 7921 T^{4} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( 1 + 176 T^{2} + 7921 T^{4} \))(\( 1 + 146 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 170 T^{2} + 7921 T^{4} \))(\( 1 + 12 T + 279 T^{2} + 2024 T^{3} + 24831 T^{4} + 95052 T^{5} + 704969 T^{6} \))(\( 1 - 12 T + 279 T^{2} - 2024 T^{3} + 24831 T^{4} - 95052 T^{5} + 704969 T^{6} \))(\( 1 + 12 T + 279 T^{2} + 2024 T^{3} + 24831 T^{4} + 95052 T^{5} + 704969 T^{6} \))(\( 1 - 12 T + 279 T^{2} - 2024 T^{3} + 24831 T^{4} - 95052 T^{5} + 704969 T^{6} \))(\( 1 + 28 T + 524 T^{2} + 6764 T^{3} + 72658 T^{4} + 601996 T^{5} + 4150604 T^{6} + 19739132 T^{7} + 62742241 T^{8} \))(\( 1 - 28 T + 524 T^{2} - 6764 T^{3} + 72658 T^{4} - 601996 T^{5} + 4150604 T^{6} - 19739132 T^{7} + 62742241 T^{8} \))(\( 1 + 28 T + 524 T^{2} + 6764 T^{3} + 72658 T^{4} + 601996 T^{5} + 4150604 T^{6} + 19739132 T^{7} + 62742241 T^{8} \))(\( 1 - 28 T + 524 T^{2} - 6764 T^{3} + 72658 T^{4} - 601996 T^{5} + 4150604 T^{6} - 19739132 T^{7} + 62742241 T^{8} \))(\( 1 - 632 T^{2} + 181112 T^{4} - 30683416 T^{6} + 3358076914 T^{8} - 243043338136 T^{10} + 11363372751992 T^{12} - 314092175887352 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 632 T^{2} + 181112 T^{4} - 30683416 T^{6} + 3358076914 T^{8} - 243043338136 T^{10} + 11363372751992 T^{12} - 314092175887352 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 504 T^{2} + 112952 T^{4} - 15433112 T^{6} + 1546282932 T^{8} - 138299730440 T^{10} + 13703405521576 T^{12} - 1516063705481384 T^{14} + 150530325160761062 T^{16} - 12008740611118042664 T^{18} + \)\(85\!\cdots\!16\)\( T^{20} - \)\(68\!\cdots\!40\)\( T^{22} + \)\(60\!\cdots\!92\)\( T^{24} - \)\(48\!\cdots\!12\)\( T^{26} + \)\(27\!\cdots\!92\)\( T^{28} - \)\(98\!\cdots\!64\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 544 T^{2} + 169016 T^{4} - 37790048 T^{6} + 6701102620 T^{8} - 987701692704 T^{10} + 124216256340616 T^{12} - 13536019593115488 T^{14} + 1287606208607868870 T^{16} - \)\(10\!\cdots\!48\)\( T^{18} + \)\(77\!\cdots\!56\)\( T^{20} - \)\(49\!\cdots\!44\)\( T^{22} + \)\(26\!\cdots\!20\)\( T^{24} - \)\(11\!\cdots\!48\)\( T^{26} + \)\(41\!\cdots\!36\)\( T^{28} - \)\(10\!\cdots\!04\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 544 T^{2} + 169016 T^{4} - 37790048 T^{6} + 6701102620 T^{8} - 987701692704 T^{10} + 124216256340616 T^{12} - 13536019593115488 T^{14} + 1287606208607868870 T^{16} - \)\(10\!\cdots\!48\)\( T^{18} + \)\(77\!\cdots\!56\)\( T^{20} - \)\(49\!\cdots\!44\)\( T^{22} + \)\(26\!\cdots\!20\)\( T^{24} - \)\(11\!\cdots\!48\)\( T^{26} + \)\(41\!\cdots\!36\)\( T^{28} - \)\(10\!\cdots\!04\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 504 T^{2} + 112952 T^{4} - 15433112 T^{6} + 1546282932 T^{8} - 138299730440 T^{10} + 13703405521576 T^{12} - 1516063705481384 T^{14} + 150530325160761062 T^{16} - 12008740611118042664 T^{18} + \)\(85\!\cdots\!16\)\( T^{20} - \)\(68\!\cdots\!40\)\( T^{22} + \)\(60\!\cdots\!92\)\( T^{24} - \)\(48\!\cdots\!12\)\( T^{26} + \)\(27\!\cdots\!92\)\( T^{28} - \)\(98\!\cdots\!64\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 200 T^{2} + 890 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 10 T + 198 T^{2} + 494 T^{3} + 13122 T^{4} + 43966 T^{5} + 1568358 T^{6} + 7049690 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} + 5507 T^{4} + 846972 T^{6} + 43620947 T^{8} - 627422410 T^{10} + 496981290961 T^{12} )^{2} \))(\( ( 1 + 376 T^{2} + 576 T^{3} + 63484 T^{4} + 221504 T^{5} + 6720840 T^{6} + 36525696 T^{7} + 596362310 T^{8} + 3250786944 T^{9} + 53235773640 T^{10} + 156153453376 T^{11} + 3983128427644 T^{12} + 3216418242624 T^{13} + 186864965401336 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 376 T^{2} - 576 T^{3} + 63484 T^{4} - 221504 T^{5} + 6720840 T^{6} - 36525696 T^{7} + 596362310 T^{8} - 3250786944 T^{9} + 53235773640 T^{10} - 156153453376 T^{11} + 3983128427644 T^{12} - 3216418242624 T^{13} + 186864965401336 T^{14} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 + 6 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 + 96 T^{2} + 9409 T^{4} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( 1 + 32 T^{2} + 9409 T^{4} \))(\( 1 - 4 T + 150 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 150 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 + 32 T^{2} + 9409 T^{4} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( 1 + 96 T^{2} + 9409 T^{4} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 + 264 T^{2} + 38 T^{3} + 25608 T^{4} + 912673 T^{6} \))(\( 1 + 264 T^{2} - 38 T^{3} + 25608 T^{4} + 912673 T^{6} \))(\( 1 + 264 T^{2} + 38 T^{3} + 25608 T^{4} + 912673 T^{6} \))(\( 1 + 264 T^{2} - 38 T^{3} + 25608 T^{4} + 912673 T^{6} \))(\( 1 + 40 T + 896 T^{2} + 13608 T^{3} + 153858 T^{4} + 1319976 T^{5} + 8430464 T^{6} + 36506920 T^{7} + 88529281 T^{8} \))(\( 1 - 40 T + 896 T^{2} - 13608 T^{3} + 153858 T^{4} - 1319976 T^{5} + 8430464 T^{6} - 36506920 T^{7} + 88529281 T^{8} \))(\( 1 + 40 T + 896 T^{2} + 13608 T^{3} + 153858 T^{4} + 1319976 T^{5} + 8430464 T^{6} + 36506920 T^{7} + 88529281 T^{8} \))(\( 1 - 40 T + 896 T^{2} - 13608 T^{3} + 153858 T^{4} - 1319976 T^{5} + 8430464 T^{6} - 36506920 T^{7} + 88529281 T^{8} \))(\( 1 - 384 T^{2} + 84544 T^{4} - 12946048 T^{6} + 1444459778 T^{8} - 121809365632 T^{10} + 7484619532864 T^{12} - 319861249892736 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 384 T^{2} + 84544 T^{4} - 12946048 T^{6} + 1444459778 T^{8} - 121809365632 T^{10} + 7484619532864 T^{12} - 319861249892736 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 320 T^{2} + 67072 T^{4} - 11101760 T^{6} + 1679211524 T^{8} - 227981564096 T^{10} + 27997664383488 T^{12} - 3050874397990336 T^{14} + 307728034228100614 T^{16} - 28705677210691071424 T^{18} + \)\(24\!\cdots\!28\)\( T^{20} - \)\(18\!\cdots\!84\)\( T^{22} + \)\(13\!\cdots\!64\)\( T^{24} - \)\(81\!\cdots\!40\)\( T^{26} + \)\(46\!\cdots\!52\)\( T^{28} - \)\(20\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 1060 T^{2} + 554918 T^{4} - 190432200 T^{6} + 47922422193 T^{8} - 9371042858136 T^{10} + 1472049420153334 T^{12} - 189391291052283068 T^{14} + 20162972419702510820 T^{16} - \)\(17\!\cdots\!12\)\( T^{18} + \)\(13\!\cdots\!54\)\( T^{20} - \)\(78\!\cdots\!44\)\( T^{22} + \)\(37\!\cdots\!73\)\( T^{24} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(69\!\cdots\!40\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 1060 T^{2} + 554918 T^{4} - 190432200 T^{6} + 47922422193 T^{8} - 9371042858136 T^{10} + 1472049420153334 T^{12} - 189391291052283068 T^{14} + 20162972419702510820 T^{16} - \)\(17\!\cdots\!12\)\( T^{18} + \)\(13\!\cdots\!54\)\( T^{20} - \)\(78\!\cdots\!44\)\( T^{22} + \)\(37\!\cdots\!73\)\( T^{24} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(69\!\cdots\!40\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 320 T^{2} + 67072 T^{4} - 11101760 T^{6} + 1679211524 T^{8} - 227981564096 T^{10} + 27997664383488 T^{12} - 3050874397990336 T^{14} + 307728034228100614 T^{16} - 28705677210691071424 T^{18} + \)\(24\!\cdots\!28\)\( T^{20} - \)\(18\!\cdots\!84\)\( T^{22} + \)\(13\!\cdots\!64\)\( T^{24} - \)\(81\!\cdots\!40\)\( T^{26} + \)\(46\!\cdots\!52\)\( T^{28} - \)\(20\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 16 T + 246 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 20 T + 300 T^{2} + 2572 T^{3} + 25574 T^{4} + 249484 T^{5} + 2822700 T^{6} + 18253460 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 390 T^{2} + 76431 T^{4} + 9219732 T^{6} + 719139279 T^{8} + 34526419590 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 + 12 T + 438 T^{2} + 5192 T^{3} + 98049 T^{4} + 1174856 T^{5} + 14826310 T^{6} + 168639396 T^{7} + 1651151428 T^{8} + 16358021412 T^{9} + 139500750790 T^{10} + 1072259350088 T^{11} + 8680207472769 T^{12} + 44585470614344 T^{13} + 364841738158902 T^{14} + 969579413737356 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 12 T + 438 T^{2} - 5192 T^{3} + 98049 T^{4} - 1174856 T^{5} + 14826310 T^{6} - 168639396 T^{7} + 1651151428 T^{8} - 16358021412 T^{9} + 139500750790 T^{10} - 1072259350088 T^{11} + 8680207472769 T^{12} - 44585470614344 T^{13} + 364841738158902 T^{14} - 969579413737356 T^{15} + 7837433594376961 T^{16} )^{2} \))
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