Properties

Label 4725.2
Level 4725
Weight 2
Dimension 539398
Nonzero newspaces 96
Sturm bound 3110400

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Defining parameters

Level: \( N \) = \( 4725\( 4725 = 3^{3} \cdot 5^{2} \cdot 7 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 96 \)
Sturm bound: \(3110400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4725))\).

Total New Old
Modular forms 787680 545958 241722
Cusp forms 767521 539398 228123
Eisenstein series 20159 6560 13599

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4725))\)

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
4725.2.a \(\chi_{4725}(1, \cdot)\) 4725.2.a.a 1 1
4725.2.a.b 1
4725.2.a.c 1
4725.2.a.d 1
4725.2.a.e 1
4725.2.a.f 1
4725.2.a.g 1
4725.2.a.h 1
4725.2.a.i 1
4725.2.a.j 1
4725.2.a.k 1
4725.2.a.l 1
4725.2.a.m 1
4725.2.a.n 1
4725.2.a.o 1
4725.2.a.p 1
4725.2.a.q 1
4725.2.a.r 1
4725.2.a.s 1
4725.2.a.t 1
4725.2.a.u 2
4725.2.a.v 2
4725.2.a.w 2
4725.2.a.x 2
4725.2.a.y 2
4725.2.a.z 2
4725.2.a.ba 2
4725.2.a.bb 2
4725.2.a.bc 2
4725.2.a.bd 2
4725.2.a.be 2
4725.2.a.bf 2
4725.2.a.bg 2
4725.2.a.bh 2
4725.2.a.bi 3
4725.2.a.bj 3
4725.2.a.bk 3
4725.2.a.bl 3
4725.2.a.bm 4
4725.2.a.bn 4
4725.2.a.bo 4
4725.2.a.bp 4
4725.2.a.bq 4
4725.2.a.br 4
4725.2.a.bs 4
4725.2.a.bt 4
4725.2.a.bu 4
4725.2.a.bv 4
4725.2.a.bw 4
4725.2.a.bx 4
4725.2.a.by 4
4725.2.a.bz 4
4725.2.a.ca 5
4725.2.a.cb 5
4725.2.a.cc 5
4725.2.a.cd 5
4725.2.a.ce 8
4725.2.a.cf 8
4725.2.b \(\chi_{4725}(3401, \cdot)\) n/a 202 1
4725.2.d \(\chi_{4725}(1324, \cdot)\) n/a 144 1
4725.2.g \(\chi_{4725}(4724, \cdot)\) n/a 192 1
4725.2.i \(\chi_{4725}(1576, \cdot)\) n/a 228 2
4725.2.j \(\chi_{4725}(676, \cdot)\) n/a 406 2
4725.2.k \(\chi_{4725}(1801, \cdot)\) n/a 292 2
4725.2.l \(\chi_{4725}(226, \cdot)\) n/a 292 2
4725.2.m \(\chi_{4725}(1268, \cdot)\) n/a 288 2
4725.2.p \(\chi_{4725}(3268, \cdot)\) n/a 384 2
4725.2.q \(\chi_{4725}(946, \cdot)\) n/a 960 4
4725.2.s \(\chi_{4725}(424, \cdot)\) n/a 280 2
4725.2.u \(\chi_{4725}(3176, \cdot)\) n/a 292 2
4725.2.v \(\chi_{4725}(2474, \cdot)\) n/a 280 2
4725.2.ba \(\chi_{4725}(1574, \cdot)\) n/a 280 2
4725.2.bc \(\chi_{4725}(1349, \cdot)\) n/a 384 2
4725.2.bf \(\chi_{4725}(1151, \cdot)\) n/a 292 2
4725.2.bg \(\chi_{4725}(1999, \cdot)\) n/a 384 2
4725.2.bi \(\chi_{4725}(2899, \cdot)\) n/a 216 2
4725.2.bk \(\chi_{4725}(26, \cdot)\) n/a 406 2
4725.2.bm \(\chi_{4725}(251, \cdot)\) n/a 292 2
4725.2.bp \(\chi_{4725}(3124, \cdot)\) n/a 280 2
4725.2.br \(\chi_{4725}(899, \cdot)\) n/a 280 2
4725.2.bt \(\chi_{4725}(1201, \cdot)\) n/a 2700 6
4725.2.bu \(\chi_{4725}(526, \cdot)\) n/a 2052 6
4725.2.bv \(\chi_{4725}(151, \cdot)\) n/a 2700 6
4725.2.bx \(\chi_{4725}(944, \cdot)\) n/a 1280 4
4725.2.ca \(\chi_{4725}(379, \cdot)\) n/a 960 4
4725.2.cc \(\chi_{4725}(566, \cdot)\) n/a 1280 4
4725.2.cd \(\chi_{4725}(1018, \cdot)\) n/a 560 4
4725.2.cg \(\chi_{4725}(3068, \cdot)\) n/a 560 4
4725.2.ci \(\chi_{4725}(368, \cdot)\) n/a 560 4
4725.2.ck \(\chi_{4725}(82, \cdot)\) n/a 768 4
4725.2.cm \(\chi_{4725}(118, \cdot)\) n/a 560 4
4725.2.cn \(\chi_{4725}(2843, \cdot)\) n/a 432 4
4725.2.cp \(\chi_{4725}(107, \cdot)\) n/a 768 4
4725.2.cr \(\chi_{4725}(3043, \cdot)\) n/a 560 4
4725.2.ct \(\chi_{4725}(46, \cdot)\) n/a 1888 8
4725.2.cu \(\chi_{4725}(361, \cdot)\) n/a 1888 8
4725.2.cv \(\chi_{4725}(541, \cdot)\) n/a 2560 8
4725.2.cw \(\chi_{4725}(316, \cdot)\) n/a 1440 8
4725.2.cx \(\chi_{4725}(824, \cdot)\) n/a 2568 6
4725.2.dc \(\chi_{4725}(299, \cdot)\) n/a 2568 6
4725.2.de \(\chi_{4725}(524, \cdot)\) n/a 2568 6
4725.2.dg \(\chi_{4725}(499, \cdot)\) n/a 2568 6
4725.2.dj \(\chi_{4725}(551, \cdot)\) n/a 2700 6
4725.2.dl \(\chi_{4725}(776, \cdot)\) n/a 2700 6
4725.2.dn \(\chi_{4725}(949, \cdot)\) n/a 2568 6
4725.2.dp \(\chi_{4725}(274, \cdot)\) n/a 1944 6
4725.2.dq \(\chi_{4725}(101, \cdot)\) n/a 2700 6
4725.2.ds \(\chi_{4725}(433, \cdot)\) n/a 2560 8
4725.2.dv \(\chi_{4725}(323, \cdot)\) n/a 1920 8
4725.2.dx \(\chi_{4725}(719, \cdot)\) n/a 1888 8
4725.2.dz \(\chi_{4725}(289, \cdot)\) n/a 1888 8
4725.2.ec \(\chi_{4725}(881, \cdot)\) n/a 1888 8
4725.2.ee \(\chi_{4725}(836, \cdot)\) n/a 2560 8
4725.2.eg \(\chi_{4725}(64, \cdot)\) n/a 1440 8
4725.2.ei \(\chi_{4725}(109, \cdot)\) n/a 2560 8
4725.2.ej \(\chi_{4725}(206, \cdot)\) n/a 1888 8
4725.2.em \(\chi_{4725}(269, \cdot)\) n/a 2560 8
4725.2.eo \(\chi_{4725}(314, \cdot)\) n/a 1888 8
4725.2.et \(\chi_{4725}(89, \cdot)\) n/a 1888 8
4725.2.eu \(\chi_{4725}(341, \cdot)\) n/a 1888 8
4725.2.ew \(\chi_{4725}(604, \cdot)\) n/a 1888 8
4725.2.ez \(\chi_{4725}(893, \cdot)\) n/a 5136 12
4725.2.fa \(\chi_{4725}(643, \cdot)\) n/a 5136 12
4725.2.fc \(\chi_{4725}(157, \cdot)\) n/a 5136 12
4725.2.fe \(\chi_{4725}(218, \cdot)\) n/a 3888 12
4725.2.fg \(\chi_{4725}(32, \cdot)\) n/a 5136 12
4725.2.fj \(\chi_{4725}(418, \cdot)\) n/a 5136 12
4725.2.fk \(\chi_{4725}(121, \cdot)\) n/a 17184 24
4725.2.fl \(\chi_{4725}(16, \cdot)\) n/a 17184 24
4725.2.fm \(\chi_{4725}(106, \cdot)\) n/a 12960 24
4725.2.fo \(\chi_{4725}(208, \cdot)\) n/a 3776 16
4725.2.fq \(\chi_{4725}(53, \cdot)\) n/a 5120 16
4725.2.fs \(\chi_{4725}(8, \cdot)\) n/a 2880 16
4725.2.ft \(\chi_{4725}(748, \cdot)\) n/a 3776 16
4725.2.fv \(\chi_{4725}(703, \cdot)\) n/a 5120 16
4725.2.fx \(\chi_{4725}(548, \cdot)\) n/a 3776 16
4725.2.fz \(\chi_{4725}(233, \cdot)\) n/a 3776 16
4725.2.gc \(\chi_{4725}(73, \cdot)\) n/a 3776 16
4725.2.gd \(\chi_{4725}(131, \cdot)\) n/a 17184 24
4725.2.gg \(\chi_{4725}(4, \cdot)\) n/a 17184 24
4725.2.gi \(\chi_{4725}(169, \cdot)\) n/a 12960 24
4725.2.gk \(\chi_{4725}(236, \cdot)\) n/a 17184 24
4725.2.gm \(\chi_{4725}(41, \cdot)\) n/a 17184 24
4725.2.gn \(\chi_{4725}(184, \cdot)\) n/a 17184 24
4725.2.gr \(\chi_{4725}(59, \cdot)\) n/a 17184 24
4725.2.gt \(\chi_{4725}(104, \cdot)\) n/a 17184 24
4725.2.gw \(\chi_{4725}(164, \cdot)\) n/a 17184 24
4725.2.gz \(\chi_{4725}(52, \cdot)\) n/a 34368 48
4725.2.ha \(\chi_{4725}(92, \cdot)\) n/a 25920 48
4725.2.hc \(\chi_{4725}(2, \cdot)\) n/a 34368 48
4725.2.he \(\chi_{4725}(13, \cdot)\) n/a 34368 48
4725.2.hg \(\chi_{4725}(187, \cdot)\) n/a 34368 48
4725.2.hj \(\chi_{4725}(23, \cdot)\) n/a 34368 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4725))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4725)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(135))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(175))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(189))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(225))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(315))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(525))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(675))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(945))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1575))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T^{2} + 4 T^{4} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 + T^{2} + 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + T^{2} - 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + T^{2} + 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + T^{2} - 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 7 T^{4} + 12 T^{5} + 20 T^{6} + 24 T^{7} + 16 T^{8} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 7 T^{4} + 12 T^{5} + 20 T^{6} + 24 T^{7} + 16 T^{8} \))(\( 1 + T + T^{3} + T^{4} + 2 T^{5} + 8 T^{7} + 16 T^{8} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( 1 + 2 T^{2} + 4 T^{4} + 8 T^{6} + 16 T^{8} \))(\( 1 + 2 T^{2} + 4 T^{4} + 8 T^{6} + 16 T^{8} \))(\( 1 + 2 T^{2} + 4 T^{4} + 8 T^{6} + 16 T^{8} \))(\( 1 + 2 T^{2} + 4 T^{4} + 8 T^{6} + 16 T^{8} \))(\( 1 - T - T^{3} + T^{4} - 2 T^{5} - 8 T^{7} + 16 T^{8} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 7 T^{4} - 12 T^{5} + 20 T^{6} - 24 T^{7} + 16 T^{8} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 7 T^{4} - 12 T^{5} + 20 T^{6} - 24 T^{7} + 16 T^{8} \))(\( 1 + 2 T^{2} + T^{3} + 6 T^{4} + 2 T^{5} + 12 T^{6} + 4 T^{7} + 16 T^{8} + 32 T^{10} \))(\( 1 + 2 T^{2} - T^{3} + 6 T^{4} - 2 T^{5} + 12 T^{6} - 4 T^{7} + 16 T^{8} + 32 T^{10} \))(\( 1 + 2 T^{2} + T^{3} + 6 T^{4} + 2 T^{5} + 12 T^{6} + 4 T^{7} + 16 T^{8} + 32 T^{10} \))(\( 1 + 2 T^{2} - T^{3} + 6 T^{4} - 2 T^{5} + 12 T^{6} - 4 T^{7} + 16 T^{8} + 32 T^{10} \))(\( 1 + T^{2} + T^{6} + 13 T^{8} + 4 T^{10} + 64 T^{14} + 256 T^{16} \))(\( 1 + T^{2} + T^{6} + 13 T^{8} + 4 T^{10} + 64 T^{14} + 256 T^{16} \))
$3$ 1
$5$ 1
$7$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 21 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 21 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 18 T^{2} - 22 T^{3} + 121 T^{4} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( 1 + 19 T^{2} + 121 T^{4} \))(\( 1 + 15 T^{2} + 121 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 18 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 21 T^{2} - 44 T^{3} + 121 T^{4} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( 1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 21 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + T + 29 T^{2} + 19 T^{3} + 319 T^{4} + 121 T^{5} + 1331 T^{6} \))(\( 1 - T + 29 T^{2} - 19 T^{3} + 319 T^{4} - 121 T^{5} + 1331 T^{6} \))(\( 1 - T + 29 T^{2} - 19 T^{3} + 319 T^{4} - 121 T^{5} + 1331 T^{6} \))(\( 1 + T + 29 T^{2} + 19 T^{3} + 319 T^{4} + 121 T^{5} + 1331 T^{6} \))(\( 1 + 17 T^{2} - 21 T^{3} + 229 T^{4} - 231 T^{5} + 2057 T^{6} + 14641 T^{8} \))(\( 1 + 17 T^{2} + 21 T^{3} + 229 T^{4} + 231 T^{5} + 2057 T^{6} + 14641 T^{8} \))(\( 1 + 4 T + 31 T^{2} + 114 T^{3} + 476 T^{4} + 1254 T^{5} + 3751 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 14 T^{2} + 262 T^{4} + 1694 T^{6} + 14641 T^{8} \))(\( 1 + 14 T^{2} + 262 T^{4} + 1694 T^{6} + 14641 T^{8} \))(\( ( 1 + 19 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} + 121 T^{4} )^{2} \))(\( 1 + 38 T^{2} + 598 T^{4} + 4598 T^{6} + 14641 T^{8} \))(\( 1 + 8 T^{2} - 62 T^{4} + 968 T^{6} + 14641 T^{8} \))(\( 1 + 8 T^{2} - 62 T^{4} + 968 T^{6} + 14641 T^{8} \))(\( 1 + 38 T^{2} + 598 T^{4} + 4598 T^{6} + 14641 T^{8} \))(\( 1 - 4 T + 31 T^{2} - 114 T^{3} + 476 T^{4} - 1254 T^{5} + 3751 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 + 17 T^{2} + 21 T^{3} + 229 T^{4} + 231 T^{5} + 2057 T^{6} + 14641 T^{8} \))(\( 1 + 17 T^{2} - 21 T^{3} + 229 T^{4} - 231 T^{5} + 2057 T^{6} + 14641 T^{8} \))(\( 1 - 9 T + 55 T^{2} - 254 T^{3} + 1066 T^{4} - 3794 T^{5} + 11726 T^{6} - 30734 T^{7} + 73205 T^{8} - 131769 T^{9} + 161051 T^{10} \))(\( 1 + 9 T + 55 T^{2} + 254 T^{3} + 1066 T^{4} + 3794 T^{5} + 11726 T^{6} + 30734 T^{7} + 73205 T^{8} + 131769 T^{9} + 161051 T^{10} \))(\( 1 + 9 T + 55 T^{2} + 254 T^{3} + 1066 T^{4} + 3794 T^{5} + 11726 T^{6} + 30734 T^{7} + 73205 T^{8} + 131769 T^{9} + 161051 T^{10} \))(\( 1 - 9 T + 55 T^{2} - 254 T^{3} + 1066 T^{4} - 3794 T^{5} + 11726 T^{6} - 30734 T^{7} + 73205 T^{8} - 131769 T^{9} + 161051 T^{10} \))(\( 1 + 16 T^{2} + 226 T^{4} + 2352 T^{6} + 15987 T^{8} + 284592 T^{10} + 3308866 T^{12} + 28344976 T^{14} + 214358881 T^{16} \))(\( 1 + 16 T^{2} + 226 T^{4} + 2352 T^{6} + 15987 T^{8} + 284592 T^{10} + 3308866 T^{12} + 28344976 T^{14} + 214358881 T^{16} \))
$13$ (\( 1 + 3 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - 3 T + 27 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 25 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 + 5 T + 31 T^{2} + 65 T^{3} + 169 T^{4} \))(\( 1 - T - 5 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 10 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - T + 23 T^{2} - 13 T^{3} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - T - 5 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 10 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 5 T + 31 T^{2} + 65 T^{3} + 169 T^{4} \))(\( 1 - T + 23 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 25 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 3 T + 27 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 34 T^{2} - 105 T^{3} + 442 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 34 T^{2} - 105 T^{3} + 442 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 + 4 T + 34 T^{2} + 105 T^{3} + 442 T^{4} + 676 T^{5} + 2197 T^{6} \))(\( 1 + 4 T + 34 T^{2} + 105 T^{3} + 442 T^{4} + 676 T^{5} + 2197 T^{6} \))(\( 1 - T + 39 T^{2} - 29 T^{3} + 677 T^{4} - 377 T^{5} + 6591 T^{6} - 2197 T^{7} + 28561 T^{8} \))(\( 1 + T + 39 T^{2} + 29 T^{3} + 677 T^{4} + 377 T^{5} + 6591 T^{6} + 2197 T^{7} + 28561 T^{8} \))(\( 1 + 2 T + 23 T^{2} + 2 T^{3} + 212 T^{4} + 26 T^{5} + 3887 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( ( 1 - 3 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 3 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 5 T + 27 T^{2} - 65 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 5 T + 27 T^{2} + 65 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 4 T + 25 T^{2} + 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} - 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} + 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( 1 + 2 T + 23 T^{2} + 2 T^{3} + 212 T^{4} + 26 T^{5} + 3887 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - T + 39 T^{2} - 29 T^{3} + 677 T^{4} - 377 T^{5} + 6591 T^{6} - 2197 T^{7} + 28561 T^{8} \))(\( 1 + T + 39 T^{2} + 29 T^{3} + 677 T^{4} + 377 T^{5} + 6591 T^{6} + 2197 T^{7} + 28561 T^{8} \))(\( 1 + 7 T + 53 T^{2} + 202 T^{3} + 934 T^{4} + 2758 T^{5} + 12142 T^{6} + 34138 T^{7} + 116441 T^{8} + 199927 T^{9} + 371293 T^{10} \))(\( 1 + 7 T + 53 T^{2} + 202 T^{3} + 934 T^{4} + 2758 T^{5} + 12142 T^{6} + 34138 T^{7} + 116441 T^{8} + 199927 T^{9} + 371293 T^{10} \))(\( 1 - 7 T + 53 T^{2} - 202 T^{3} + 934 T^{4} - 2758 T^{5} + 12142 T^{6} - 34138 T^{7} + 116441 T^{8} - 199927 T^{9} + 371293 T^{10} \))(\( 1 - 7 T + 53 T^{2} - 202 T^{3} + 934 T^{4} - 2758 T^{5} + 12142 T^{6} - 34138 T^{7} + 116441 T^{8} - 199927 T^{9} + 371293 T^{10} \))(\( ( 1 + 5 T + 21 T^{2} + 83 T^{3} + 420 T^{4} + 1079 T^{5} + 3549 T^{6} + 10985 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 5 T + 21 T^{2} - 83 T^{3} + 420 T^{4} - 1079 T^{5} + 3549 T^{6} - 10985 T^{7} + 28561 T^{8} )^{2} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 5 T + 29 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - T + 33 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 + 11 T + 63 T^{2} + 187 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 33 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - T + 31 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 - 14 T^{2} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 - 11 T + 63 T^{2} - 187 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 33 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 + T + 33 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 + T + 31 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 29 T^{2} - 85 T^{3} + 289 T^{4} \))(\( 1 + 7 T + 43 T^{2} + 157 T^{3} + 731 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 - 7 T + 43 T^{2} - 157 T^{3} + 731 T^{4} - 2023 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 43 T^{2} + 157 T^{3} + 731 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 - 7 T + 43 T^{2} - 157 T^{3} + 731 T^{4} - 2023 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 92 T^{2} + 480 T^{3} + 2554 T^{4} + 8160 T^{5} + 26588 T^{6} + 44217 T^{7} + 83521 T^{8} \))(\( 1 + 9 T + 92 T^{2} + 480 T^{3} + 2554 T^{4} + 8160 T^{5} + 26588 T^{6} + 44217 T^{7} + 83521 T^{8} \))(\( 1 + 23 T^{2} - 4 T^{3} + 576 T^{4} - 68 T^{5} + 6647 T^{6} + 83521 T^{8} \))(\( 1 + 30 T^{2} + 542 T^{4} + 8670 T^{6} + 83521 T^{8} \))(\( 1 + 30 T^{2} + 542 T^{4} + 8670 T^{6} + 83521 T^{8} \))(\( 1 + 27 T^{2} + 629 T^{4} + 7803 T^{6} + 83521 T^{8} \))(\( 1 + 27 T^{2} + 629 T^{4} + 7803 T^{6} + 83521 T^{8} \))(\( 1 + 32 T^{2} + 514 T^{4} + 9248 T^{6} + 83521 T^{8} \))(\( 1 + 38 T^{2} + 814 T^{4} + 10982 T^{6} + 83521 T^{8} \))(\( 1 + 38 T^{2} + 814 T^{4} + 10982 T^{6} + 83521 T^{8} \))(\( 1 + 32 T^{2} + 514 T^{4} + 9248 T^{6} + 83521 T^{8} \))(\( 1 + 23 T^{2} + 4 T^{3} + 576 T^{4} + 68 T^{5} + 6647 T^{6} + 83521 T^{8} \))(\( 1 - 9 T + 92 T^{2} - 480 T^{3} + 2554 T^{4} - 8160 T^{5} + 26588 T^{6} - 44217 T^{7} + 83521 T^{8} \))(\( 1 - 9 T + 92 T^{2} - 480 T^{3} + 2554 T^{4} - 8160 T^{5} + 26588 T^{6} - 44217 T^{7} + 83521 T^{8} \))(\( 1 + 14 T + 133 T^{2} + 862 T^{3} + 4705 T^{4} + 20660 T^{5} + 79985 T^{6} + 249118 T^{7} + 653429 T^{8} + 1169294 T^{9} + 1419857 T^{10} \))(\( 1 - 14 T + 133 T^{2} - 862 T^{3} + 4705 T^{4} - 20660 T^{5} + 79985 T^{6} - 249118 T^{7} + 653429 T^{8} - 1169294 T^{9} + 1419857 T^{10} \))(\( 1 + 14 T + 133 T^{2} + 862 T^{3} + 4705 T^{4} + 20660 T^{5} + 79985 T^{6} + 249118 T^{7} + 653429 T^{8} + 1169294 T^{9} + 1419857 T^{10} \))(\( 1 - 14 T + 133 T^{2} - 862 T^{3} + 4705 T^{4} - 20660 T^{5} + 79985 T^{6} - 249118 T^{7} + 653429 T^{8} - 1169294 T^{9} + 1419857 T^{10} \))(\( 1 + 91 T^{2} + 4171 T^{4} + 122225 T^{6} + 2472336 T^{8} + 35323025 T^{10} + 348366091 T^{12} + 2196518779 T^{14} + 6975757441 T^{16} \))(\( 1 + 91 T^{2} + 4171 T^{4} + 122225 T^{6} + 2472336 T^{8} + 35323025 T^{10} + 348366091 T^{12} + 2196518779 T^{14} + 6975757441 T^{16} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 43 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 45 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 9 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 - 3 T + 39 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 27 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 37 T^{2} + 57 T^{3} + 361 T^{4} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )^{2} \))(\( 1 - 3 T + 39 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 27 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 9 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 37 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 45 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 5 T + 43 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 - 3 T + 13 T^{2} - 7 T^{3} + 247 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 13 T^{2} - 7 T^{3} + 247 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 13 T^{2} - 7 T^{3} + 247 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 13 T^{2} - 7 T^{3} + 247 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 66 T^{2} - 156 T^{3} + 1784 T^{4} - 2964 T^{5} + 23826 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 - 3 T + 66 T^{2} - 156 T^{3} + 1784 T^{4} - 2964 T^{5} + 23826 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 212 T^{3} + 1089 T^{4} - 4028 T^{5} + 15884 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( ( 1 + 2 T + 10 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 2 T + 10 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 9 T + 53 T^{2} + 171 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 9 T + 53 T^{2} + 171 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 42 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 42 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 4 T + 44 T^{2} - 212 T^{3} + 1089 T^{4} - 4028 T^{5} + 15884 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 3 T + 66 T^{2} - 156 T^{3} + 1784 T^{4} - 2964 T^{5} + 23826 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 - 3 T + 66 T^{2} - 156 T^{3} + 1784 T^{4} - 2964 T^{5} + 23826 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 58 T^{2} + 67 T^{3} + 1357 T^{4} + 374 T^{5} + 25783 T^{6} + 24187 T^{7} + 397822 T^{8} + 390963 T^{9} + 2476099 T^{10} \))(\( 1 + 3 T + 58 T^{2} + 67 T^{3} + 1357 T^{4} + 374 T^{5} + 25783 T^{6} + 24187 T^{7} + 397822 T^{8} + 390963 T^{9} + 2476099 T^{10} \))(\( 1 + 3 T + 58 T^{2} + 67 T^{3} + 1357 T^{4} + 374 T^{5} + 25783 T^{6} + 24187 T^{7} + 397822 T^{8} + 390963 T^{9} + 2476099 T^{10} \))(\( 1 + 3 T + 58 T^{2} + 67 T^{3} + 1357 T^{4} + 374 T^{5} + 25783 T^{6} + 24187 T^{7} + 397822 T^{8} + 390963 T^{9} + 2476099 T^{10} \))(\( ( 1 - 9 T + 54 T^{2} - 314 T^{3} + 1711 T^{4} - 5966 T^{5} + 19494 T^{6} - 61731 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 9 T + 54 T^{2} - 314 T^{3} + 1711 T^{4} - 5966 T^{5} + 19494 T^{6} - 61731 T^{7} + 130321 T^{8} )^{2} \))
$23$ (\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 11 T + 65 T^{2} + 253 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 42 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 13 T + 87 T^{2} - 299 T^{3} + 529 T^{4} \))(\( 1 + 11 T + 75 T^{2} + 253 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 57 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 49 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 + 43 T^{2} + 529 T^{4} \))(\( 1 - 17 T^{2} + 529 T^{4} \))(\( 1 - 11 T + 75 T^{2} - 253 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 57 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 13 T + 87 T^{2} + 299 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 49 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 42 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 11 T + 65 T^{2} - 253 T^{3} + 529 T^{4} \))(\( 1 + T + 61 T^{2} + 43 T^{3} + 1403 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - T + 61 T^{2} - 43 T^{3} + 1403 T^{4} - 529 T^{5} + 12167 T^{6} \))(\( 1 + T + 61 T^{2} + 43 T^{3} + 1403 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - T + 61 T^{2} - 43 T^{3} + 1403 T^{4} - 529 T^{5} + 12167 T^{6} \))(\( 1 + 12 T + 107 T^{2} + 651 T^{3} + 3433 T^{4} + 14973 T^{5} + 56603 T^{6} + 146004 T^{7} + 279841 T^{8} \))(\( 1 + 12 T + 107 T^{2} + 651 T^{3} + 3433 T^{4} + 14973 T^{5} + 56603 T^{6} + 146004 T^{7} + 279841 T^{8} \))(\( 1 + 47 T^{2} - 4 T^{3} + 1476 T^{4} - 92 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 + 54 T^{2} + 1526 T^{4} + 28566 T^{6} + 279841 T^{8} \))(\( 1 + 54 T^{2} + 1526 T^{4} + 28566 T^{6} + 279841 T^{8} \))(\( 1 + 59 T^{2} + 1881 T^{4} + 31211 T^{6} + 279841 T^{8} \))(\( 1 + 59 T^{2} + 1881 T^{4} + 31211 T^{6} + 279841 T^{8} \))(\( 1 + 86 T^{2} + 2902 T^{4} + 45494 T^{6} + 279841 T^{8} \))(\( 1 + 8 T^{2} - 206 T^{4} + 4232 T^{6} + 279841 T^{8} \))(\( 1 + 8 T^{2} - 206 T^{4} + 4232 T^{6} + 279841 T^{8} \))(\( 1 + 86 T^{2} + 2902 T^{4} + 45494 T^{6} + 279841 T^{8} \))(\( 1 + 47 T^{2} + 4 T^{3} + 1476 T^{4} + 92 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 - 12 T + 107 T^{2} - 651 T^{3} + 3433 T^{4} - 14973 T^{5} + 56603 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 - 12 T + 107 T^{2} - 651 T^{3} + 3433 T^{4} - 14973 T^{5} + 56603 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 20 T^{2} + 32 T^{3} + 211 T^{4} + 124 T^{5} + 4853 T^{6} + 16928 T^{7} + 243340 T^{8} + 559682 T^{9} + 6436343 T^{10} \))(\( 1 - 2 T + 20 T^{2} - 32 T^{3} + 211 T^{4} - 124 T^{5} + 4853 T^{6} - 16928 T^{7} + 243340 T^{8} - 559682 T^{9} + 6436343 T^{10} \))(\( 1 + 2 T + 20 T^{2} + 32 T^{3} + 211 T^{4} + 124 T^{5} + 4853 T^{6} + 16928 T^{7} + 243340 T^{8} + 559682 T^{9} + 6436343 T^{10} \))(\( 1 - 2 T + 20 T^{2} - 32 T^{3} + 211 T^{4} - 124 T^{5} + 4853 T^{6} - 16928 T^{7} + 243340 T^{8} - 559682 T^{9} + 6436343 T^{10} \))(\( 1 + 113 T^{2} + 6202 T^{4} + 221076 T^{6} + 5805409 T^{8} + 116949204 T^{10} + 1735573882 T^{12} + 16728055457 T^{14} + 78310985281 T^{16} \))(\( 1 + 113 T^{2} + 6202 T^{4} + 221076 T^{6} + 5805409 T^{8} + 116949204 T^{10} + 1735573882 T^{12} + 16728055457 T^{14} + 78310985281 T^{16} \))
$29$ (\( 1 - 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 5 T + 53 T^{2} - 145 T^{3} + 841 T^{4} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( 1 + T - 43 T^{2} + 29 T^{3} + 841 T^{4} \))(\( 1 + T + 47 T^{2} + 29 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 14 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 - 7 T + 67 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( 1 + 30 T^{2} + 841 T^{4} \))(\( 1 - T + 47 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 2 T + 14 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 - T - 43 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 67 T^{2} + 203 T^{3} + 841 T^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( 1 + 5 T + 53 T^{2} + 145 T^{3} + 841 T^{4} \))(\( 1 - T + 79 T^{2} - 55 T^{3} + 2291 T^{4} - 841 T^{5} + 24389 T^{6} \))(\( 1 + T + 79 T^{2} + 55 T^{3} + 2291 T^{4} + 841 T^{5} + 24389 T^{6} \))(\( 1 + T + 79 T^{2} + 55 T^{3} + 2291 T^{4} + 841 T^{5} + 24389 T^{6} \))(\( 1 - T + 79 T^{2} - 55 T^{3} + 2291 T^{4} - 841 T^{5} + 24389 T^{6} \))(\( 1 + 3 T + 90 T^{2} + 276 T^{3} + 3536 T^{4} + 8004 T^{5} + 75690 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( 1 - 3 T + 90 T^{2} - 276 T^{3} + 3536 T^{4} - 8004 T^{5} + 75690 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( 1 + 10 T + 88 T^{2} + 614 T^{3} + 3806 T^{4} + 17806 T^{5} + 74008 T^{6} + 243890 T^{7} + 707281 T^{8} \))(\( ( 1 + 841 T^{4} )^{2} \))(\( ( 1 + 841 T^{4} )^{2} \))(\( 1 + 75 T^{2} + 2957 T^{4} + 63075 T^{6} + 707281 T^{8} \))(\( 1 + 75 T^{2} + 2957 T^{4} + 63075 T^{6} + 707281 T^{8} \))(\( 1 + 30 T^{2} + 1502 T^{4} + 25230 T^{6} + 707281 T^{8} \))(\( 1 + 102 T^{2} + 4238 T^{4} + 85782 T^{6} + 707281 T^{8} \))(\( 1 + 102 T^{2} + 4238 T^{4} + 85782 T^{6} + 707281 T^{8} \))(\( 1 + 30 T^{2} + 1502 T^{4} + 25230 T^{6} + 707281 T^{8} \))(\( 1 - 10 T + 88 T^{2} - 614 T^{3} + 3806 T^{4} - 17806 T^{5} + 74008 T^{6} - 243890 T^{7} + 707281 T^{8} \))(\( 1 - 3 T + 90 T^{2} - 276 T^{3} + 3536 T^{4} - 8004 T^{5} + 75690 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( 1 + 3 T + 90 T^{2} + 276 T^{3} + 3536 T^{4} + 8004 T^{5} + 75690 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( 1 - 12 T + 99 T^{2} - 324 T^{3} + 152 T^{4} + 6256 T^{5} + 4408 T^{6} - 272484 T^{7} + 2414511 T^{8} - 8487372 T^{9} + 20511149 T^{10} \))(\( 1 + 12 T + 99 T^{2} + 324 T^{3} + 152 T^{4} - 6256 T^{5} + 4408 T^{6} + 272484 T^{7} + 2414511 T^{8} + 8487372 T^{9} + 20511149 T^{10} \))(\( 1 + 12 T + 99 T^{2} + 324 T^{3} + 152 T^{4} - 6256 T^{5} + 4408 T^{6} + 272484 T^{7} + 2414511 T^{8} + 8487372 T^{9} + 20511149 T^{10} \))(\( 1 - 12 T + 99 T^{2} - 324 T^{3} + 152 T^{4} + 6256 T^{5} + 4408 T^{6} - 272484 T^{7} + 2414511 T^{8} - 8487372 T^{9} + 20511149 T^{10} \))(\( 1 + 159 T^{2} + 12291 T^{4} + 603893 T^{6} + 20703472 T^{8} + 507874013 T^{10} + 8693190771 T^{12} + 94576908039 T^{14} + 500246412961 T^{16} \))(\( 1 + 159 T^{2} + 12291 T^{4} + 603893 T^{6} + 20703472 T^{8} + 507874013 T^{10} + 8693190771 T^{12} + 94576908039 T^{14} + 500246412961 T^{16} \))
$31$ (\( 1 - T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 6 T + 51 T^{2} + 186 T^{3} + 961 T^{4} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( 1 + 17 T^{2} + 961 T^{4} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( ( 1 + 9 T + 31 T^{2} )^{2} \))(\( 1 + 12 T + 85 T^{2} + 372 T^{3} + 961 T^{4} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( ( 1 + 9 T + 31 T^{2} )^{2} \))(\( 1 + 17 T^{2} + 961 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 372 T^{3} + 961 T^{4} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( 1 + 6 T + 51 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 195 T^{3} + 1426 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 46 T^{2} + 195 T^{3} + 1426 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 46 T^{2} + 195 T^{3} + 1426 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 46 T^{2} + 195 T^{3} + 1426 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 43 T^{2} - 243 T^{3} + 582 T^{4} - 7533 T^{5} + 41323 T^{6} + 923521 T^{8} \))(\( 1 + 43 T^{2} - 243 T^{3} + 582 T^{4} - 7533 T^{5} + 41323 T^{6} + 923521 T^{8} \))(\( 1 - 6 T + 85 T^{2} - 522 T^{3} + 3368 T^{4} - 16182 T^{5} + 81685 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( ( 1 + 33 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 33 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 8 T + 57 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 8 T + 57 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 3 T + 31 T^{2} )^{4} \))(\( ( 1 + 3 T + 31 T^{2} )^{4} \))(\( ( 1 + 17 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 6 T + 85 T^{2} - 522 T^{3} + 3368 T^{4} - 16182 T^{5} + 81685 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( 1 + 43 T^{2} - 243 T^{3} + 582 T^{4} - 7533 T^{5} + 41323 T^{6} + 923521 T^{8} \))(\( 1 + 43 T^{2} - 243 T^{3} + 582 T^{4} - 7533 T^{5} + 41323 T^{6} + 923521 T^{8} \))(\( 1 + 6 T + 148 T^{2} + 714 T^{3} + 8969 T^{4} + 32752 T^{5} + 278039 T^{6} + 686154 T^{7} + 4409068 T^{8} + 5541126 T^{9} + 28629151 T^{10} \))(\( 1 + 6 T + 148 T^{2} + 714 T^{3} + 8969 T^{4} + 32752 T^{5} + 278039 T^{6} + 686154 T^{7} + 4409068 T^{8} + 5541126 T^{9} + 28629151 T^{10} \))(\( 1 + 6 T + 148 T^{2} + 714 T^{3} + 8969 T^{4} + 32752 T^{5} + 278039 T^{6} + 686154 T^{7} + 4409068 T^{8} + 5541126 T^{9} + 28629151 T^{10} \))(\( 1 + 6 T + 148 T^{2} + 714 T^{3} + 8969 T^{4} + 32752 T^{5} + 278039 T^{6} + 686154 T^{7} + 4409068 T^{8} + 5541126 T^{9} + 28629151 T^{10} \))(\( ( 1 - 10 T + 82 T^{2} - 564 T^{3} + 3487 T^{4} - 17484 T^{5} + 78802 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 10 T + 82 T^{2} - 564 T^{3} + 3487 T^{4} - 17484 T^{5} + 78802 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))
$37$ (\( 1 + 7 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 2 T - 5 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T^{2} + 1369 T^{4} \))(\( 1 + 29 T^{2} + 1369 T^{4} \))(\( ( 1 - 3 T + 37 T^{2} )^{2} \))(\( 1 - 6 T + 38 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 61 T^{2} + 1369 T^{4} \))(\( ( 1 - 7 T + 37 T^{2} )^{2} \))(\( ( 1 - 3 T + 37 T^{2} )^{2} \))(\( ( 1 - 3 T + 37 T^{2} )^{2} \))(\( 1 - 6 T + 38 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 29 T^{2} + 1369 T^{4} \))(\( 1 + 61 T^{2} + 1369 T^{4} \))(\( 1 + 2 T^{2} + 1369 T^{4} \))(\( 1 - 2 T - 5 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 3 T + 73 T^{2} + 283 T^{3} + 2701 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 73 T^{2} + 283 T^{3} + 2701 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 73 T^{2} - 283 T^{3} + 2701 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 3 T + 73 T^{2} - 283 T^{3} + 2701 T^{4} - 4107 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 121 T^{2} - 711 T^{3} + 4677 T^{4} - 26307 T^{5} + 165649 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 121 T^{2} + 711 T^{3} + 4677 T^{4} + 26307 T^{5} + 165649 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 10 T + 152 T^{2} + 998 T^{3} + 8478 T^{4} + 36926 T^{5} + 208088 T^{6} + 506530 T^{7} + 1874161 T^{8} \))(\( ( 1 - 8 T + 61 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 8 T + 61 T^{2} + 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 2 T - 9 T^{2} + 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 2 T - 9 T^{2} - 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 3 T + 37 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 29 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 3 T + 37 T^{2} )^{4} \))(\( 1 + 10 T + 152 T^{2} + 998 T^{3} + 8478 T^{4} + 36926 T^{5} + 208088 T^{6} + 506530 T^{7} + 1874161 T^{8} \))(\( 1 - 12 T + 121 T^{2} - 711 T^{3} + 4677 T^{4} - 26307 T^{5} + 165649 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 121 T^{2} + 711 T^{3} + 4677 T^{4} + 26307 T^{5} + 165649 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 90 T^{2} - 388 T^{3} + 2601 T^{4} - 28968 T^{5} + 96237 T^{6} - 531172 T^{7} + 4558770 T^{8} + 69343957 T^{10} \))(\( 1 + 90 T^{2} - 388 T^{3} + 2601 T^{4} - 28968 T^{5} + 96237 T^{6} - 531172 T^{7} + 4558770 T^{8} + 69343957 T^{10} \))(\( 1 + 90 T^{2} + 388 T^{3} + 2601 T^{4} + 28968 T^{5} + 96237 T^{6} + 531172 T^{7} + 4558770 T^{8} + 69343957 T^{10} \))(\( 1 + 90 T^{2} + 388 T^{3} + 2601 T^{4} + 28968 T^{5} + 96237 T^{6} + 531172 T^{7} + 4558770 T^{8} + 69343957 T^{10} \))(\( ( 1 - 4 T + 96 T^{2} - 264 T^{3} + 4281 T^{4} - 9768 T^{5} + 131424 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 4 T + 96 T^{2} + 264 T^{3} + 4281 T^{4} + 9768 T^{5} + 131424 T^{6} + 202612 T^{7} + 1874161 T^{8} )^{2} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 11 T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 - 11 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 5 T - 13 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 99 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 + 5 T + 57 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - T + 81 T^{2} - 41 T^{3} + 1681 T^{4} \))(\( 1 + 8 T + 78 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 + 3 T + 55 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 + 55 T^{2} + 1681 T^{4} \))(\( 1 + 75 T^{2} + 1681 T^{4} \))(\( 1 + T + 81 T^{2} + 41 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 5 T + 57 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 - 3 T + 55 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 99 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( 1 + 5 T - 13 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 + 5 T + 13 T^{2} - 271 T^{3} + 533 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 13 T^{2} + 271 T^{3} + 533 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 13 T^{2} + 271 T^{3} + 533 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 13 T^{2} - 271 T^{3} + 533 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 104 T^{2} - 348 T^{3} + 3484 T^{4} - 14268 T^{5} + 174824 T^{6} - 620289 T^{7} + 2825761 T^{8} \))(\( 1 + 9 T + 104 T^{2} + 348 T^{3} + 3484 T^{4} + 14268 T^{5} + 174824 T^{6} + 620289 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 81 T^{2} - 90 T^{3} + 2956 T^{4} - 3690 T^{5} + 136161 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 54 T^{2} + 1742 T^{4} + 90774 T^{6} + 2825761 T^{8} \))(\( 1 + 54 T^{2} + 1742 T^{4} + 90774 T^{6} + 2825761 T^{8} \))(\( 1 + 39 T^{2} + 3317 T^{4} + 65559 T^{6} + 2825761 T^{8} \))(\( 1 + 39 T^{2} + 3317 T^{4} + 65559 T^{6} + 2825761 T^{8} \))(\( 1 + 80 T^{2} + 3682 T^{4} + 134480 T^{6} + 2825761 T^{8} \))(\( 1 + 134 T^{2} + 7726 T^{4} + 225254 T^{6} + 2825761 T^{8} \))(\( 1 + 134 T^{2} + 7726 T^{4} + 225254 T^{6} + 2825761 T^{8} \))(\( 1 + 80 T^{2} + 3682 T^{4} + 134480 T^{6} + 2825761 T^{8} \))(\( 1 - 2 T + 81 T^{2} + 90 T^{3} + 2956 T^{4} + 3690 T^{5} + 136161 T^{6} - 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 9 T + 104 T^{2} + 348 T^{3} + 3484 T^{4} + 14268 T^{5} + 174824 T^{6} + 620289 T^{7} + 2825761 T^{8} \))(\( 1 - 9 T + 104 T^{2} - 348 T^{3} + 3484 T^{4} - 14268 T^{5} + 174824 T^{6} - 620289 T^{7} + 2825761 T^{8} \))(\( 1 - 7 T + 114 T^{2} - 551 T^{3} + 7137 T^{4} - 30544 T^{5} + 292617 T^{6} - 926231 T^{7} + 7856994 T^{8} - 19780327 T^{9} + 115856201 T^{10} \))(\( 1 + 7 T + 114 T^{2} + 551 T^{3} + 7137 T^{4} + 30544 T^{5} + 292617 T^{6} + 926231 T^{7} + 7856994 T^{8} + 19780327 T^{9} + 115856201 T^{10} \))(\( 1 + 7 T + 114 T^{2} + 551 T^{3} + 7137 T^{4} + 30544 T^{5} + 292617 T^{6} + 926231 T^{7} + 7856994 T^{8} + 19780327 T^{9} + 115856201 T^{10} \))(\( 1 - 7 T + 114 T^{2} - 551 T^{3} + 7137 T^{4} - 30544 T^{5} + 292617 T^{6} - 926231 T^{7} + 7856994 T^{8} - 19780327 T^{9} + 115856201 T^{10} \))(\( 1 + 161 T^{2} + 12382 T^{4} + 619060 T^{6} + 25940901 T^{8} + 1040639860 T^{10} + 34988572702 T^{12} + 764766782801 T^{14} + 7984925229121 T^{16} \))(\( 1 + 161 T^{2} + 12382 T^{4} + 619060 T^{6} + 25940901 T^{8} + 1040639860 T^{10} + 34988572702 T^{12} + 764766782801 T^{14} + 7984925229121 T^{16} \))
$43$ (\( 1 + 7 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 + 81 T^{2} + 1849 T^{4} \))(\( 1 - 2 T + 55 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 7 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 - 20 T + 181 T^{2} - 860 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 82 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 20 T + 181 T^{2} - 860 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 82 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 7 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 55 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 + 81 T^{2} + 1849 T^{4} \))(\( 1 - 22 T + 286 T^{2} - 2253 T^{3} + 12298 T^{4} - 40678 T^{5} + 79507 T^{6} \))(\( 1 - 22 T + 286 T^{2} - 2253 T^{3} + 12298 T^{4} - 40678 T^{5} + 79507 T^{6} \))(\( 1 + 22 T + 286 T^{2} + 2253 T^{3} + 12298 T^{4} + 40678 T^{5} + 79507 T^{6} \))(\( 1 + 22 T + 286 T^{2} + 2253 T^{3} + 12298 T^{4} + 40678 T^{5} + 79507 T^{6} \))(\( 1 - 8 T + 105 T^{2} - 817 T^{3} + 6026 T^{4} - 35131 T^{5} + 194145 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 105 T^{2} + 817 T^{3} + 6026 T^{4} + 35131 T^{5} + 194145 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 18 T + 241 T^{2} + 2322 T^{3} + 16832 T^{4} + 99846 T^{5} + 445609 T^{6} + 1431126 T^{7} + 3418801 T^{8} \))(\( ( 1 - 12 T + 93 T^{2} - 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 12 T + 93 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{4} \))(\( ( 1 - T + 43 T^{2} )^{4} \))(\( ( 1 + 2 T + 67 T^{2} + 86 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 16 T + 145 T^{2} - 688 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 16 T + 145 T^{2} + 688 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 2 T + 67 T^{2} - 86 T^{3} + 1849 T^{4} )^{2} \))(\( 1 + 18 T + 241 T^{2} + 2322 T^{3} + 16832 T^{4} + 99846 T^{5} + 445609 T^{6} + 1431126 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 105 T^{2} - 817 T^{3} + 6026 T^{4} - 35131 T^{5} + 194145 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 105 T^{2} + 817 T^{3} + 6026 T^{4} + 35131 T^{5} + 194145 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 7 T + 124 T^{2} + 607 T^{3} + 8271 T^{4} + 35212 T^{5} + 355653 T^{6} + 1122343 T^{7} + 9858868 T^{8} + 23931607 T^{9} + 147008443 T^{10} \))(\( 1 + 7 T + 124 T^{2} + 607 T^{3} + 8271 T^{4} + 35212 T^{5} + 355653 T^{6} + 1122343 T^{7} + 9858868 T^{8} + 23931607 T^{9} + 147008443 T^{10} \))(\( 1 - 7 T + 124 T^{2} - 607 T^{3} + 8271 T^{4} - 35212 T^{5} + 355653 T^{6} - 1122343 T^{7} + 9858868 T^{8} - 23931607 T^{9} + 147008443 T^{10} \))(\( 1 - 7 T + 124 T^{2} - 607 T^{3} + 8271 T^{4} - 35212 T^{5} + 355653 T^{6} - 1122343 T^{7} + 9858868 T^{8} - 23931607 T^{9} + 147008443 T^{10} \))(\( ( 1 + 123 T^{2} + 76 T^{3} + 7112 T^{4} + 3268 T^{5} + 227427 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 + 123 T^{2} - 76 T^{3} + 7112 T^{4} - 3268 T^{5} + 227427 T^{6} + 3418801 T^{8} )^{2} \))
$47$ (\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 2 T + 75 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 - 2 T + 23 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( ( 1 - 11 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 65 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 97 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 46 T^{2} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( 1 - 8 T + 65 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( ( 1 + 11 T + 47 T^{2} )^{2} \))(\( 1 - 8 T + 97 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 23 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 - 2 T + 75 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 + 10 T + 122 T^{2} + 817 T^{3} + 5734 T^{4} + 22090 T^{5} + 103823 T^{6} \))(\( 1 - 10 T + 122 T^{2} - 817 T^{3} + 5734 T^{4} - 22090 T^{5} + 103823 T^{6} \))(\( 1 + 10 T + 122 T^{2} + 817 T^{3} + 5734 T^{4} + 22090 T^{5} + 103823 T^{6} \))(\( 1 - 10 T + 122 T^{2} - 817 T^{3} + 5734 T^{4} - 22090 T^{5} + 103823 T^{6} \))(\( 1 + 15 T + 243 T^{2} + 2163 T^{3} + 18395 T^{4} + 101661 T^{5} + 536787 T^{6} + 1557345 T^{7} + 4879681 T^{8} \))(\( 1 + 15 T + 243 T^{2} + 2163 T^{3} + 18395 T^{4} + 101661 T^{5} + 536787 T^{6} + 1557345 T^{7} + 4879681 T^{8} \))(\( 1 + 18 T + 189 T^{2} + 1426 T^{3} + 9460 T^{4} + 67022 T^{5} + 417501 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T^{2} - 458 T^{4} - 22090 T^{6} + 4879681 T^{8} \))(\( 1 - 10 T^{2} - 458 T^{4} - 22090 T^{6} + 4879681 T^{8} \))(\( ( 1 + 91 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 91 T^{2} + 2209 T^{4} )^{2} \))(\( 1 + 102 T^{2} + 6614 T^{4} + 225318 T^{6} + 4879681 T^{8} \))(\( 1 + 72 T^{2} + 2834 T^{4} + 159048 T^{6} + 4879681 T^{8} \))(\( 1 + 72 T^{2} + 2834 T^{4} + 159048 T^{6} + 4879681 T^{8} \))(\( 1 + 102 T^{2} + 6614 T^{4} + 225318 T^{6} + 4879681 T^{8} \))(\( 1 - 18 T + 189 T^{2} - 1426 T^{3} + 9460 T^{4} - 67022 T^{5} + 417501 T^{6} - 1868814 T^{7} + 4879681 T^{8} \))(\( 1 - 15 T + 243 T^{2} - 2163 T^{3} + 18395 T^{4} - 101661 T^{5} + 536787 T^{6} - 1557345 T^{7} + 4879681 T^{8} \))(\( 1 - 15 T + 243 T^{2} - 2163 T^{3} + 18395 T^{4} - 101661 T^{5} + 536787 T^{6} - 1557345 T^{7} + 4879681 T^{8} \))(\( 1 + 13 T + 254 T^{2} + 2347 T^{3} + 24625 T^{4} + 163136 T^{5} + 1157375 T^{6} + 5184523 T^{7} + 26371042 T^{8} + 63435853 T^{9} + 229345007 T^{10} \))(\( 1 - 13 T + 254 T^{2} - 2347 T^{3} + 24625 T^{4} - 163136 T^{5} + 1157375 T^{6} - 5184523 T^{7} + 26371042 T^{8} - 63435853 T^{9} + 229345007 T^{10} \))(\( 1 + 13 T + 254 T^{2} + 2347 T^{3} + 24625 T^{4} + 163136 T^{5} + 1157375 T^{6} + 5184523 T^{7} + 26371042 T^{8} + 63435853 T^{9} + 229345007 T^{10} \))(\( 1 - 13 T + 254 T^{2} - 2347 T^{3} + 24625 T^{4} - 163136 T^{5} + 1157375 T^{6} - 5184523 T^{7} + 26371042 T^{8} - 63435853 T^{9} + 229345007 T^{10} \))(\( 1 + 230 T^{2} + 27493 T^{4} + 2127558 T^{6} + 117401692 T^{8} + 4699775622 T^{10} + 134157069733 T^{12} + 2479219525670 T^{14} + 23811286661761 T^{16} \))(\( 1 + 230 T^{2} + 27493 T^{4} + 2127558 T^{6} + 117401692 T^{8} + 4699775622 T^{10} + 134157069733 T^{12} + 2479219525670 T^{14} + 23811286661761 T^{16} \))
$53$ (\( 1 - 4 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 5 T + 81 T^{2} + 265 T^{3} + 2809 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 11 T + 135 T^{2} + 583 T^{3} + 2809 T^{4} \))(\( 1 + 11 T + 135 T^{2} + 583 T^{3} + 2809 T^{4} \))(\( 1 + 2 T + 27 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 7 T + 37 T^{2} + 371 T^{3} + 2809 T^{4} \))(\( 1 - 86 T^{2} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 - 11 T + 135 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 - 2 T + 27 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 11 T + 135 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 - 7 T + 37 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( 1 + 2 T + 9 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 - 5 T + 81 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 19 T + 257 T^{2} + 2161 T^{3} + 13621 T^{4} + 53371 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 257 T^{2} - 2161 T^{3} + 13621 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 19 T + 257 T^{2} + 2161 T^{3} + 13621 T^{4} + 53371 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 257 T^{2} - 2161 T^{3} + 13621 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 9 T + 158 T^{2} + 1116 T^{3} + 10804 T^{4} + 59148 T^{5} + 443822 T^{6} + 1339893 T^{7} + 7890481 T^{8} \))(\( 1 + 9 T + 158 T^{2} + 1116 T^{3} + 10804 T^{4} + 59148 T^{5} + 443822 T^{6} + 1339893 T^{7} + 7890481 T^{8} \))(\( 1 - 4 T + 128 T^{2} - 628 T^{3} + 8061 T^{4} - 33284 T^{5} + 359552 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( 1 + 134 T^{2} + 8686 T^{4} + 376406 T^{6} + 7890481 T^{8} \))(\( 1 + 134 T^{2} + 8686 T^{4} + 376406 T^{6} + 7890481 T^{8} \))(\( 1 + 167 T^{2} + 12165 T^{4} + 469103 T^{6} + 7890481 T^{8} \))(\( 1 + 167 T^{2} + 12165 T^{4} + 469103 T^{6} + 7890481 T^{8} \))(\( 1 + 158 T^{2} + 11614 T^{4} + 443822 T^{6} + 7890481 T^{8} \))(\( 1 - 112 T^{2} + 7474 T^{4} - 314608 T^{6} + 7890481 T^{8} \))(\( 1 - 112 T^{2} + 7474 T^{4} - 314608 T^{6} + 7890481 T^{8} \))(\( 1 + 158 T^{2} + 11614 T^{4} + 443822 T^{6} + 7890481 T^{8} \))(\( 1 + 4 T + 128 T^{2} + 628 T^{3} + 8061 T^{4} + 33284 T^{5} + 359552 T^{6} + 595508 T^{7} + 7890481 T^{8} \))(\( 1 - 9 T + 158 T^{2} - 1116 T^{3} + 10804 T^{4} - 59148 T^{5} + 443822 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 - 9 T + 158 T^{2} - 1116 T^{3} + 10804 T^{4} - 59148 T^{5} + 443822 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 - 5 T + 64 T^{2} - 791 T^{3} + 6559 T^{4} - 31384 T^{5} + 347627 T^{6} - 2221919 T^{7} + 9528128 T^{8} - 39452405 T^{9} + 418195493 T^{10} \))(\( 1 + 5 T + 64 T^{2} + 791 T^{3} + 6559 T^{4} + 31384 T^{5} + 347627 T^{6} + 2221919 T^{7} + 9528128 T^{8} + 39452405 T^{9} + 418195493 T^{10} \))(\( 1 - 5 T + 64 T^{2} - 791 T^{3} + 6559 T^{4} - 31384 T^{5} + 347627 T^{6} - 2221919 T^{7} + 9528128 T^{8} - 39452405 T^{9} + 418195493 T^{10} \))(\( 1 + 5 T + 64 T^{2} + 791 T^{3} + 6559 T^{4} + 31384 T^{5} + 347627 T^{6} + 2221919 T^{7} + 9528128 T^{8} + 39452405 T^{9} + 418195493 T^{10} \))(\( 1 + 363 T^{2} + 60267 T^{4} + 5978401 T^{6} + 387436544 T^{8} + 16793328409 T^{10} + 475535618427 T^{12} + 8045663089827 T^{14} + 62259690411361 T^{16} \))(\( 1 + 363 T^{2} + 60267 T^{4} + 5978401 T^{6} + 387436544 T^{8} + 16793328409 T^{10} + 475535618427 T^{12} + 8045663089827 T^{14} + 62259690411361 T^{16} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 6 T + 47 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 50 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 137 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 89 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 98 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 + 2 T + 67 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 70 T^{2} + 3481 T^{4} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( 1 + 8 T + 89 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 98 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 137 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 67 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 50 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 47 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 3 T + 73 T^{2} - 429 T^{3} + 4307 T^{4} - 10443 T^{5} + 205379 T^{6} \))(\( 1 + 3 T + 73 T^{2} + 429 T^{3} + 4307 T^{4} + 10443 T^{5} + 205379 T^{6} \))(\( 1 + 3 T + 73 T^{2} + 429 T^{3} + 4307 T^{4} + 10443 T^{5} + 205379 T^{6} \))(\( 1 - 3 T + 73 T^{2} - 429 T^{3} + 4307 T^{4} - 10443 T^{5} + 205379 T^{6} \))(\( 1 - 6 T + 189 T^{2} - 885 T^{3} + 15737 T^{4} - 52215 T^{5} + 657909 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T + 189 T^{2} + 885 T^{3} + 15737 T^{4} + 52215 T^{5} + 657909 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 204 T^{2} + 314 T^{3} + 17254 T^{4} + 18526 T^{5} + 710124 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 26 T^{2} + 6870 T^{4} - 90506 T^{6} + 12117361 T^{8} \))(\( 1 - 26 T^{2} + 6870 T^{4} - 90506 T^{6} + 12117361 T^{8} \))(\( 1 + 6 T^{2} + 3947 T^{4} + 20886 T^{6} + 12117361 T^{8} \))(\( 1 + 6 T^{2} + 3947 T^{4} + 20886 T^{6} + 12117361 T^{8} \))(\( 1 + 150 T^{2} + 12182 T^{4} + 522150 T^{6} + 12117361 T^{8} \))(\( 1 + 72 T^{2} + 5378 T^{4} + 250632 T^{6} + 12117361 T^{8} \))(\( 1 + 72 T^{2} + 5378 T^{4} + 250632 T^{6} + 12117361 T^{8} \))(\( 1 + 150 T^{2} + 12182 T^{4} + 522150 T^{6} + 12117361 T^{8} \))(\( 1 - 2 T + 204 T^{2} - 314 T^{3} + 17254 T^{4} - 18526 T^{5} + 710124 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T + 189 T^{2} + 885 T^{3} + 15737 T^{4} + 52215 T^{5} + 657909 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 6 T + 189 T^{2} - 885 T^{3} + 15737 T^{4} - 52215 T^{5} + 657909 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 26 T + 500 T^{2} - 6626 T^{3} + 70951 T^{4} - 600728 T^{5} + 4186109 T^{6} - 23065106 T^{7} + 102689500 T^{8} - 315051386 T^{9} + 714924299 T^{10} \))(\( 1 + 26 T + 500 T^{2} + 6626 T^{3} + 70951 T^{4} + 600728 T^{5} + 4186109 T^{6} + 23065106 T^{7} + 102689500 T^{8} + 315051386 T^{9} + 714924299 T^{10} \))(\( 1 + 26 T + 500 T^{2} + 6626 T^{3} + 70951 T^{4} + 600728 T^{5} + 4186109 T^{6} + 23065106 T^{7} + 102689500 T^{8} + 315051386 T^{9} + 714924299 T^{10} \))(\( 1 - 26 T + 500 T^{2} - 6626 T^{3} + 70951 T^{4} - 600728 T^{5} + 4186109 T^{6} - 23065106 T^{7} + 102689500 T^{8} - 315051386 T^{9} + 714924299 T^{10} \))(\( 1 + 366 T^{2} + 63597 T^{4} + 6788030 T^{6} + 484327996 T^{8} + 23629132430 T^{10} + 770627807517 T^{12} + 15438075312606 T^{14} + 146830437604321 T^{16} \))(\( 1 + 366 T^{2} + 63597 T^{4} + 6788030 T^{6} + 484327996 T^{8} + 23629132430 T^{10} + 770627807517 T^{12} + 15438075312606 T^{14} + 146830437604321 T^{16} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 7 T + 123 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 + 21 T + 221 T^{2} + 1281 T^{3} + 3721 T^{4} \))(\( 1 - 9 T + 131 T^{2} - 549 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 113 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 - 3 T - 35 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( ( 1 - 8 T + 61 T^{2} )^{2} \))(\( ( 1 + 8 T + 61 T^{2} )^{2} \))(\( 1 - 9 T + 131 T^{2} - 549 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 113 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 + 21 T + 221 T^{2} + 1281 T^{3} + 3721 T^{4} \))(\( 1 - 3 T - 35 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 + 7 T + 123 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 134 T^{2} + 1025 T^{3} + 8174 T^{4} + 29768 T^{5} + 226981 T^{6} \))(\( 1 + 8 T + 134 T^{2} + 1025 T^{3} + 8174 T^{4} + 29768 T^{5} + 226981 T^{6} \))(\( 1 + 8 T + 134 T^{2} + 1025 T^{3} + 8174 T^{4} + 29768 T^{5} + 226981 T^{6} \))(\( 1 + 8 T + 134 T^{2} + 1025 T^{3} + 8174 T^{4} + 29768 T^{5} + 226981 T^{6} \))(\( 1 - 9 T + 217 T^{2} - 1323 T^{3} + 18627 T^{4} - 80703 T^{5} + 807457 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 217 T^{2} - 1323 T^{3} + 18627 T^{4} - 80703 T^{5} + 807457 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 8 T + 223 T^{2} - 1312 T^{3} + 19964 T^{4} - 80032 T^{5} + 829783 T^{6} - 1815848 T^{7} + 13845841 T^{8} \))(\( ( 1 + 8 T + 61 T^{2} )^{4} \))(\( ( 1 + 8 T + 61 T^{2} )^{4} \))(\( ( 1 - 5 T + 123 T^{2} - 305 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 5 T + 123 T^{2} - 305 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 6 T + 86 T^{2} - 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 86 T^{2} + 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 86 T^{2} + 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 6 T + 86 T^{2} - 366 T^{3} + 3721 T^{4} )^{2} \))(\( 1 - 8 T + 223 T^{2} - 1312 T^{3} + 19964 T^{4} - 80032 T^{5} + 829783 T^{6} - 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 217 T^{2} - 1323 T^{3} + 18627 T^{4} - 80703 T^{5} + 807457 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 217 T^{2} - 1323 T^{3} + 18627 T^{4} - 80703 T^{5} + 807457 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 2 T + 224 T^{2} - 404 T^{3} + 23317 T^{4} - 33848 T^{5} + 1422337 T^{6} - 1503284 T^{7} + 50843744 T^{8} - 27691682 T^{9} + 844596301 T^{10} \))(\( 1 - 2 T + 224 T^{2} - 404 T^{3} + 23317 T^{4} - 33848 T^{5} + 1422337 T^{6} - 1503284 T^{7} + 50843744 T^{8} - 27691682 T^{9} + 844596301 T^{10} \))(\( 1 - 2 T + 224 T^{2} - 404 T^{3} + 23317 T^{4} - 33848 T^{5} + 1422337 T^{6} - 1503284 T^{7} + 50843744 T^{8} - 27691682 T^{9} + 844596301 T^{10} \))(\( 1 - 2 T + 224 T^{2} - 404 T^{3} + 23317 T^{4} - 33848 T^{5} + 1422337 T^{6} - 1503284 T^{7} + 50843744 T^{8} - 27691682 T^{9} + 844596301 T^{10} \))(\( ( 1 - 19 T + 339 T^{2} - 3541 T^{3} + 33900 T^{4} - 216001 T^{5} + 1261419 T^{6} - 4312639 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 19 T + 339 T^{2} - 3541 T^{3} + 33900 T^{4} - 216001 T^{5} + 1261419 T^{6} - 4312639 T^{7} + 13845841 T^{8} )^{2} \))
$67$ (\( 1 + T + 67 T^{2} \))(\( 1 - T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - T + 67 T^{2} \))(\( 1 - 17 T + 195 T^{2} - 1139 T^{3} + 4489 T^{4} \))(\( 1 + 10 T + 151 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 + 7 T + 85 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( 1 + T - 17 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 58 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 73 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( ( 1 + 14 T + 67 T^{2} )^{2} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( 1 + T - 17 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 58 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 7 T + 85 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 73 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( 1 + 10 T + 151 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 - 17 T + 195 T^{2} - 1139 T^{3} + 4489 T^{4} \))(\( 1 + 15 T + 96 T^{2} + 587 T^{3} + 6432 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 + 15 T + 96 T^{2} + 587 T^{3} + 6432 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 96 T^{2} - 587 T^{3} + 6432 T^{4} - 67335 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 96 T^{2} - 587 T^{3} + 6432 T^{4} - 67335 T^{5} + 300763 T^{6} \))(\( 1 + 13 T + 267 T^{2} + 2072 T^{3} + 25112 T^{4} + 138824 T^{5} + 1198563 T^{6} + 3909919 T^{7} + 20151121 T^{8} \))(\( 1 - 13 T + 267 T^{2} - 2072 T^{3} + 25112 T^{4} - 138824 T^{5} + 1198563 T^{6} - 3909919 T^{7} + 20151121 T^{8} \))(\( 1 + 10 T + 169 T^{2} + 1814 T^{3} + 14168 T^{4} + 121538 T^{5} + 758641 T^{6} + 3007630 T^{7} + 20151121 T^{8} \))(\( ( 1 - 13 T + 67 T^{2} )^{4} \))(\( ( 1 + 13 T + 67 T^{2} )^{4} \))(\( ( 1 + 11 T + 117 T^{2} + 737 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 11 T + 117 T^{2} - 737 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8 T + 145 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 16 T + 193 T^{2} - 1072 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 16 T + 193 T^{2} + 1072 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 8 T + 145 T^{2} - 536 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 10 T + 169 T^{2} + 1814 T^{3} + 14168 T^{4} + 121538 T^{5} + 758641 T^{6} + 3007630 T^{7} + 20151121 T^{8} \))(\( 1 + 13 T + 267 T^{2} + 2072 T^{3} + 25112 T^{4} + 138824 T^{5} + 1198563 T^{6} + 3909919 T^{7} + 20151121 T^{8} \))(\( 1 - 13 T + 267 T^{2} - 2072 T^{3} + 25112 T^{4} - 138824 T^{5} + 1198563 T^{6} - 3909919 T^{7} + 20151121 T^{8} \))(\( 1 - 21 T + 435 T^{2} - 5524 T^{3} + 63582 T^{4} - 549630 T^{5} + 4259994 T^{6} - 24797236 T^{7} + 130831905 T^{8} - 423173541 T^{9} + 1350125107 T^{10} \))(\( 1 - 21 T + 435 T^{2} - 5524 T^{3} + 63582 T^{4} - 549630 T^{5} + 4259994 T^{6} - 24797236 T^{7} + 130831905 T^{8} - 423173541 T^{9} + 1350125107 T^{10} \))(\( 1 + 21 T + 435 T^{2} + 5524 T^{3} + 63582 T^{4} + 549630 T^{5} + 4259994 T^{6} + 24797236 T^{7} + 130831905 T^{8} + 423173541 T^{9} + 1350125107 T^{10} \))(\( 1 + 21 T + 435 T^{2} + 5524 T^{3} + 63582 T^{4} + 549630 T^{5} + 4259994 T^{6} + 24797236 T^{7} + 130831905 T^{8} + 423173541 T^{9} + 1350125107 T^{10} \))(\( ( 1 + 5 T + 261 T^{2} + 969 T^{3} + 26016 T^{4} + 64923 T^{5} + 1171629 T^{6} + 1503815 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 5 T + 261 T^{2} - 969 T^{3} + 26016 T^{4} - 64923 T^{5} + 1171629 T^{6} - 1503815 T^{7} + 20151121 T^{8} )^{2} \))
$71$ (\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 17 T + 183 T^{2} - 1207 T^{3} + 5041 T^{4} \))(\( ( 1 - 2 T + 71 T^{2} )^{2} \))(\( 1 + T + 131 T^{2} + 71 T^{3} + 5041 T^{4} \))(\( 1 - 11 T + 161 T^{2} - 781 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 - 15 T + 169 T^{2} - 1065 T^{3} + 5041 T^{4} \))(\( 1 + 115 T^{2} + 5041 T^{4} \))(\( 1 + 79 T^{2} + 5041 T^{4} \))(\( 1 + 11 T + 161 T^{2} + 781 T^{3} + 5041 T^{4} \))(\( ( 1 - 2 T + 71 T^{2} )^{2} \))(\( 1 - T + 131 T^{2} - 71 T^{3} + 5041 T^{4} \))(\( 1 + 15 T + 169 T^{2} + 1065 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 + 17 T + 183 T^{2} + 1207 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 110 T^{2} - 625 T^{3} + 7810 T^{4} - 20164 T^{5} + 357911 T^{6} \))(\( 1 + 4 T + 110 T^{2} + 625 T^{3} + 7810 T^{4} + 20164 T^{5} + 357911 T^{6} \))(\( 1 + 4 T + 110 T^{2} + 625 T^{3} + 7810 T^{4} + 20164 T^{5} + 357911 T^{6} \))(\( 1 - 4 T + 110 T^{2} - 625 T^{3} + 7810 T^{4} - 20164 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 171 T^{2} + 1179 T^{3} + 17165 T^{4} + 83709 T^{5} + 862011 T^{6} + 3221199 T^{7} + 25411681 T^{8} \))(\( 1 - 9 T + 171 T^{2} - 1179 T^{3} + 17165 T^{4} - 83709 T^{5} + 862011 T^{6} - 3221199 T^{7} + 25411681 T^{8} \))(\( 1 + 8 T + 4 T^{2} - 504 T^{3} - 3034 T^{4} - 35784 T^{5} + 20164 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 + 164 T^{2} + 16342 T^{4} + 826724 T^{6} + 25411681 T^{8} \))(\( 1 + 164 T^{2} + 16342 T^{4} + 826724 T^{6} + 25411681 T^{8} \))(\( 1 + 75 T^{2} + 857 T^{4} + 378075 T^{6} + 25411681 T^{8} \))(\( 1 + 75 T^{2} + 857 T^{4} + 378075 T^{6} + 25411681 T^{8} \))(\( 1 + 60 T^{2} - 538 T^{4} + 302460 T^{6} + 25411681 T^{8} \))(\( 1 + 228 T^{2} + 22358 T^{4} + 1149348 T^{6} + 25411681 T^{8} \))(\( 1 + 228 T^{2} + 22358 T^{4} + 1149348 T^{6} + 25411681 T^{8} \))(\( 1 + 60 T^{2} - 538 T^{4} + 302460 T^{6} + 25411681 T^{8} \))(\( 1 - 8 T + 4 T^{2} + 504 T^{3} - 3034 T^{4} + 35784 T^{5} + 20164 T^{6} - 2863288 T^{7} + 25411681 T^{8} \))(\( 1 - 9 T + 171 T^{2} - 1179 T^{3} + 17165 T^{4} - 83709 T^{5} + 862011 T^{6} - 3221199 T^{7} + 25411681 T^{8} \))(\( 1 + 9 T + 171 T^{2} + 1179 T^{3} + 17165 T^{4} + 83709 T^{5} + 862011 T^{6} + 3221199 T^{7} + 25411681 T^{8} \))(\( ( 1 - 8 T + 71 T^{2} )^{5} \))(\( ( 1 + 8 T + 71 T^{2} )^{5} \))(\( ( 1 + 8 T + 71 T^{2} )^{5} \))(\( ( 1 - 8 T + 71 T^{2} )^{5} \))(\( 1 + 129 T^{2} + 4342 T^{4} + 651060 T^{6} + 91186161 T^{8} + 3281993460 T^{10} + 110337518902 T^{12} + 16524936625809 T^{14} + 645753531245761 T^{16} \))(\( 1 + 129 T^{2} + 4342 T^{4} + 651060 T^{6} + 91186161 T^{8} + 3281993460 T^{10} + 110337518902 T^{12} + 16524936625809 T^{14} + 645753531245761 T^{16} \))
$73$ (\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 15 T + 73 T^{2} \))(\( 1 - 15 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 15 T + 73 T^{2} \))(\( 1 - 15 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 + 2 T + 67 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 121 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 91 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 175 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 142 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 103 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( 1 - 14 T + 175 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 142 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 91 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 103 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 121 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 2 T + 67 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 + T + 138 T^{2} - 135 T^{3} + 10074 T^{4} + 5329 T^{5} + 389017 T^{6} \))(\( 1 + T + 138 T^{2} - 135 T^{3} + 10074 T^{4} + 5329 T^{5} + 389017 T^{6} \))(\( 1 - T + 138 T^{2} + 135 T^{3} + 10074 T^{4} - 5329 T^{5} + 389017 T^{6} \))(\( 1 - T + 138 T^{2} + 135 T^{3} + 10074 T^{4} - 5329 T^{5} + 389017 T^{6} \))(\( 1 + T + 57 T^{2} - 10 T^{3} + 38 T^{4} - 730 T^{5} + 303753 T^{6} + 389017 T^{7} + 28398241 T^{8} \))(\( 1 - T + 57 T^{2} + 10 T^{3} + 38 T^{4} + 730 T^{5} + 303753 T^{6} - 389017 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T + 299 T^{2} - 2054 T^{3} + 32712 T^{4} - 149942 T^{5} + 1593371 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( ( 1 - 16 T + 181 T^{2} - 1168 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 16 T + 181 T^{2} + 1168 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 125 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 125 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 2 T + 127 T^{2} + 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 4 T + 25 T^{2} - 292 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 4 T + 25 T^{2} + 292 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 2 T + 127 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} \))(\( 1 - 10 T + 299 T^{2} - 2054 T^{3} + 32712 T^{4} - 149942 T^{5} + 1593371 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + T + 57 T^{2} - 10 T^{3} + 38 T^{4} - 730 T^{5} + 303753 T^{6} + 389017 T^{7} + 28398241 T^{8} \))(\( 1 - T + 57 T^{2} + 10 T^{3} + 38 T^{4} + 730 T^{5} + 303753 T^{6} - 389017 T^{7} + 28398241 T^{8} \))(\( 1 - 9 T + 241 T^{2} - 1048 T^{3} + 21910 T^{4} - 57854 T^{5} + 1599430 T^{6} - 5584792 T^{7} + 93753097 T^{8} - 255584169 T^{9} + 2073071593 T^{10} \))(\( 1 - 9 T + 241 T^{2} - 1048 T^{3} + 21910 T^{4} - 57854 T^{5} + 1599430 T^{6} - 5584792 T^{7} + 93753097 T^{8} - 255584169 T^{9} + 2073071593 T^{10} \))(\( 1 + 9 T + 241 T^{2} + 1048 T^{3} + 21910 T^{4} + 57854 T^{5} + 1599430 T^{6} + 5584792 T^{7} + 93753097 T^{8} + 255584169 T^{9} + 2073071593 T^{10} \))(\( 1 + 9 T + 241 T^{2} + 1048 T^{3} + 21910 T^{4} + 57854 T^{5} + 1599430 T^{6} + 5584792 T^{7} + 93753097 T^{8} + 255584169 T^{9} + 2073071593 T^{10} \))(\( ( 1 + 12 T + 135 T^{2} + 920 T^{3} + 10084 T^{4} + 67160 T^{5} + 719415 T^{6} + 4668204 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 12 T + 135 T^{2} - 920 T^{3} + 10084 T^{4} - 67160 T^{5} + 719415 T^{6} - 4668204 T^{7} + 28398241 T^{8} )^{2} \))
$79$ (\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 5 T + 13 T^{2} - 395 T^{3} + 6241 T^{4} \))(\( 1 - 24 T + 294 T^{2} - 1896 T^{3} + 6241 T^{4} \))(\( 1 - 9 T + 177 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 + 3 T + 9 T^{2} + 237 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 69 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + 23 T + 261 T^{2} + 1817 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( 1 + 3 T + 9 T^{2} + 237 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 69 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 - 9 T + 177 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 + 23 T + 261 T^{2} + 1817 T^{3} + 6241 T^{4} \))(\( 1 - 24 T + 294 T^{2} - 1896 T^{3} + 6241 T^{4} \))(\( 1 - 5 T + 13 T^{2} - 395 T^{3} + 6241 T^{4} \))(\( 1 - T + 156 T^{2} + 123 T^{3} + 12324 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 - T + 156 T^{2} + 123 T^{3} + 12324 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 - T + 156 T^{2} + 123 T^{3} + 12324 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 - T + 156 T^{2} + 123 T^{3} + 12324 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 + 15 T + 135 T^{2} + 348 T^{3} + 836 T^{4} + 27492 T^{5} + 842535 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 135 T^{2} + 348 T^{3} + 836 T^{4} + 27492 T^{5} + 842535 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 - 12 T + 243 T^{2} - 2092 T^{3} + 27696 T^{4} - 165268 T^{5} + 1516563 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( ( 1 + 4 T + 133 T^{2} + 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 4 T + 133 T^{2} + 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 7 T + 123 T^{2} + 553 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 7 T + 123 T^{2} + 553 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 6 T + 147 T^{2} - 474 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 153 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 153 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 6 T + 147 T^{2} - 474 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 12 T + 243 T^{2} - 2092 T^{3} + 27696 T^{4} - 165268 T^{5} + 1516563 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 135 T^{2} + 348 T^{3} + 836 T^{4} + 27492 T^{5} + 842535 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 135 T^{2} + 348 T^{3} + 836 T^{4} + 27492 T^{5} + 842535 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 323 T^{2} - 2026 T^{3} + 46145 T^{4} - 225074 T^{5} + 3645455 T^{6} - 12644266 T^{7} + 159251597 T^{8} - 311600648 T^{9} + 3077056399 T^{10} \))(\( 1 - 8 T + 323 T^{2} - 2026 T^{3} + 46145 T^{4} - 225074 T^{5} + 3645455 T^{6} - 12644266 T^{7} + 159251597 T^{8} - 311600648 T^{9} + 3077056399 T^{10} \))(\( 1 - 8 T + 323 T^{2} - 2026 T^{3} + 46145 T^{4} - 225074 T^{5} + 3645455 T^{6} - 12644266 T^{7} + 159251597 T^{8} - 311600648 T^{9} + 3077056399 T^{10} \))(\( 1 - 8 T + 323 T^{2} - 2026 T^{3} + 46145 T^{4} - 225074 T^{5} + 3645455 T^{6} - 12644266 T^{7} + 159251597 T^{8} - 311600648 T^{9} + 3077056399 T^{10} \))(\( ( 1 - 13 T + 117 T^{2} - 21 T^{3} - 1876 T^{4} - 1659 T^{5} + 730197 T^{6} - 6409507 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 13 T + 117 T^{2} - 21 T^{3} - 1876 T^{4} - 1659 T^{5} + 730197 T^{6} - 6409507 T^{7} + 38950081 T^{8} )^{2} \))
$83$ (\( 1 + 16 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + T + 83 T^{2} \))(\( 1 + T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 20 T + 261 T^{2} + 1660 T^{3} + 6889 T^{4} \))(\( 1 + 2 T + 95 T^{2} + 166 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 137 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 166 T^{3} + 6889 T^{4} \))(\( ( 1 + 11 T + 83 T^{2} )^{2} \))(\( 1 - 10 T + 139 T^{2} - 830 T^{3} + 6889 T^{4} \))(\( 1 + 58 T^{2} + 6889 T^{4} \))(\( 1 - 86 T^{2} + 6889 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 166 T^{3} + 6889 T^{4} \))(\( ( 1 - 11 T + 83 T^{2} )^{2} \))(\( 1 + 8 T + 137 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 + 10 T + 139 T^{2} + 830 T^{3} + 6889 T^{4} \))(\( 1 - 2 T + 95 T^{2} - 166 T^{3} + 6889 T^{4} \))(\( 1 - 20 T + 261 T^{2} - 1660 T^{3} + 6889 T^{4} \))(\( 1 + 10 T + 194 T^{2} + 1369 T^{3} + 16102 T^{4} + 68890 T^{5} + 571787 T^{6} \))(\( 1 - 10 T + 194 T^{2} - 1369 T^{3} + 16102 T^{4} - 68890 T^{5} + 571787 T^{6} \))(\( 1 + 10 T + 194 T^{2} + 1369 T^{3} + 16102 T^{4} + 68890 T^{5} + 571787 T^{6} \))(\( 1 - 10 T + 194 T^{2} - 1369 T^{3} + 16102 T^{4} - 68890 T^{5} + 571787 T^{6} \))(\( 1 + 42 T + 933 T^{2} + 13809 T^{3} + 147032 T^{4} + 1146147 T^{5} + 6427437 T^{6} + 24015054 T^{7} + 47458321 T^{8} \))(\( 1 + 42 T + 933 T^{2} + 13809 T^{3} + 147032 T^{4} + 1146147 T^{5} + 6427437 T^{6} + 24015054 T^{7} + 47458321 T^{8} \))(\( 1 + 24 T + 426 T^{2} + 5008 T^{3} + 51355 T^{4} + 415664 T^{5} + 2934714 T^{6} + 13722888 T^{7} + 47458321 T^{8} \))(\( 1 + 278 T^{2} + 32374 T^{4} + 1915142 T^{6} + 47458321 T^{8} \))(\( 1 + 278 T^{2} + 32374 T^{4} + 1915142 T^{6} + 47458321 T^{8} \))(\( 1 - 18 T^{2} - 2605 T^{4} - 124002 T^{6} + 47458321 T^{8} \))(\( 1 - 18 T^{2} - 2605 T^{4} - 124002 T^{6} + 47458321 T^{8} \))(\( 1 + 126 T^{2} + 7622 T^{4} + 868014 T^{6} + 47458321 T^{8} \))(\( ( 1 + 156 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 156 T^{2} + 6889 T^{4} )^{2} \))(\( 1 + 126 T^{2} + 7622 T^{4} + 868014 T^{6} + 47458321 T^{8} \))(\( 1 - 24 T + 426 T^{2} - 5008 T^{3} + 51355 T^{4} - 415664 T^{5} + 2934714 T^{6} - 13722888 T^{7} + 47458321 T^{8} \))(\( 1 - 42 T + 933 T^{2} - 13809 T^{3} + 147032 T^{4} - 1146147 T^{5} + 6427437 T^{6} - 24015054 T^{7} + 47458321 T^{8} \))(\( 1 - 42 T + 933 T^{2} - 13809 T^{3} + 147032 T^{4} - 1146147 T^{5} + 6427437 T^{6} - 24015054 T^{7} + 47458321 T^{8} \))(\( 1 + 17 T + 401 T^{2} + 4550 T^{3} + 62809 T^{4} + 527735 T^{5} + 5213147 T^{6} + 31344950 T^{7} + 229286587 T^{8} + 806791457 T^{9} + 3939040643 T^{10} \))(\( 1 - 17 T + 401 T^{2} - 4550 T^{3} + 62809 T^{4} - 527735 T^{5} + 5213147 T^{6} - 31344950 T^{7} + 229286587 T^{8} - 806791457 T^{9} + 3939040643 T^{10} \))(\( 1 + 17 T + 401 T^{2} + 4550 T^{3} + 62809 T^{4} + 527735 T^{5} + 5213147 T^{6} + 31344950 T^{7} + 229286587 T^{8} + 806791457 T^{9} + 3939040643 T^{10} \))(\( 1 - 17 T + 401 T^{2} - 4550 T^{3} + 62809 T^{4} - 527735 T^{5} + 5213147 T^{6} - 31344950 T^{7} + 229286587 T^{8} - 806791457 T^{9} + 3939040643 T^{10} \))(\( 1 + 462 T^{2} + 99717 T^{4} + 13554854 T^{6} + 1309735084 T^{8} + 93379389206 T^{10} + 4732401395157 T^{12} + 151046452496478 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 462 T^{2} + 99717 T^{4} + 13554854 T^{6} + 1309735084 T^{8} + 93379389206 T^{10} + 4732401395157 T^{12} + 151046452496478 T^{14} + 2252292232139041 T^{16} \))
$89$ (\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 4 T + 137 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 155 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 167 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 18 T + 239 T^{2} - 1602 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 62 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 61 T^{2} + 7921 T^{4} \))(\( 1 + 103 T^{2} + 7921 T^{4} \))(\( 1 - 165 T^{2} + 7921 T^{4} \))(\( 1 + 18 T + 239 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 62 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 167 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 61 T^{2} + 7921 T^{4} \))(\( 1 - 6 T + 155 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 137 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 175 T^{2} - 880 T^{3} + 15575 T^{4} - 31684 T^{5} + 704969 T^{6} \))(\( 1 + 4 T + 175 T^{2} + 880 T^{3} + 15575 T^{4} + 31684 T^{5} + 704969 T^{6} \))(\( 1 + 4 T + 175 T^{2} + 880 T^{3} + 15575 T^{4} + 31684 T^{5} + 704969 T^{6} \))(\( 1 - 4 T + 175 T^{2} - 880 T^{3} + 15575 T^{4} - 31684 T^{5} + 704969 T^{6} \))(\( 1 - 12 T + 232 T^{2} - 1020 T^{3} + 18030 T^{4} - 90780 T^{5} + 1837672 T^{6} - 8459628 T^{7} + 62742241 T^{8} \))(\( 1 + 12 T + 232 T^{2} + 1020 T^{3} + 18030 T^{4} + 90780 T^{5} + 1837672 T^{6} + 8459628 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 141 T^{2} + 1338 T^{3} + 14260 T^{4} + 119082 T^{5} + 1116861 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 318 T^{2} + 40862 T^{4} + 2518878 T^{6} + 62742241 T^{8} \))(\( 1 + 318 T^{2} + 40862 T^{4} + 2518878 T^{6} + 62742241 T^{8} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{2} \))(\( 1 + 286 T^{2} + 35166 T^{4} + 2265406 T^{6} + 62742241 T^{8} \))(\( ( 1 - 64 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 7921 T^{4} )^{2} \))(\( 1 + 286 T^{2} + 35166 T^{4} + 2265406 T^{6} + 62742241 T^{8} \))(\( 1 - 8 T + 141 T^{2} - 1338 T^{3} + 14260 T^{4} - 119082 T^{5} + 1116861 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 12 T + 232 T^{2} + 1020 T^{3} + 18030 T^{4} + 90780 T^{5} + 1837672 T^{6} + 8459628 T^{7} + 62742241 T^{8} \))(\( 1 - 12 T + 232 T^{2} - 1020 T^{3} + 18030 T^{4} - 90780 T^{5} + 1837672 T^{6} - 8459628 T^{7} + 62742241 T^{8} \))(\( 1 - 11 T + 197 T^{2} - 1256 T^{3} + 21922 T^{4} - 146842 T^{5} + 1951058 T^{6} - 9948776 T^{7} + 138878893 T^{8} - 690164651 T^{9} + 5584059449 T^{10} \))(\( 1 + 11 T + 197 T^{2} + 1256 T^{3} + 21922 T^{4} + 146842 T^{5} + 1951058 T^{6} + 9948776 T^{7} + 138878893 T^{8} + 690164651 T^{9} + 5584059449 T^{10} \))(\( 1 + 11 T + 197 T^{2} + 1256 T^{3} + 21922 T^{4} + 146842 T^{5} + 1951058 T^{6} + 9948776 T^{7} + 138878893 T^{8} + 690164651 T^{9} + 5584059449 T^{10} \))(\( 1 - 11 T + 197 T^{2} - 1256 T^{3} + 21922 T^{4} - 146842 T^{5} + 1951058 T^{6} - 9948776 T^{7} + 138878893 T^{8} - 690164651 T^{9} + 5584059449 T^{10} \))(\( 1 + 404 T^{2} + 81946 T^{4} + 11039088 T^{6} + 1115500627 T^{8} + 87440616048 T^{10} + 5141475680986 T^{12} + 200780441548244 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 404 T^{2} + 81946 T^{4} + 11039088 T^{6} + 1115500627 T^{8} + 87440616048 T^{10} + 5141475680986 T^{12} + 200780441548244 T^{14} + 3936588805702081 T^{16} \))
$97$ (\( 1 + 6 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 3 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 3 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 5 T + 169 T^{2} + 485 T^{3} + 9409 T^{4} \))(\( 1 - 6 T^{2} + 9409 T^{4} \))(\( 1 + 9 T + 153 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 + 3 T - 15 T^{2} + 291 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 198 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 - T + 113 T^{2} - 97 T^{3} + 9409 T^{4} \))(\( ( 1 - 4 T + 97 T^{2} )^{2} \))(\( ( 1 - 12 T + 97 T^{2} )^{2} \))(\( 1 + 3 T - 15 T^{2} + 291 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 198 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 + 9 T + 153 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 - T + 113 T^{2} - 97 T^{3} + 9409 T^{4} \))(\( 1 - 6 T^{2} + 9409 T^{4} \))(\( 1 + 5 T + 169 T^{2} + 485 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 255 T^{2} + 1644 T^{3} + 24735 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 + 10 T + 255 T^{2} + 1644 T^{3} + 24735 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 255 T^{2} - 1644 T^{3} + 24735 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 255 T^{2} - 1644 T^{3} + 24735 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 + 9 T + 66 T^{2} + 423 T^{3} + 5786 T^{4} + 41031 T^{5} + 620994 T^{6} + 8214057 T^{7} + 88529281 T^{8} \))(\( 1 - 9 T + 66 T^{2} - 423 T^{3} + 5786 T^{4} - 41031 T^{5} + 620994 T^{6} - 8214057 T^{7} + 88529281 T^{8} \))(\( 1 + 10 T + 160 T^{2} + 814 T^{3} + 16542 T^{4} + 78958 T^{5} + 1505440 T^{6} + 9126730 T^{7} + 88529281 T^{8} \))(\( ( 1 - 10 T + 190 T^{2} - 970 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 10 T + 190 T^{2} + 970 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 11 T + 177 T^{2} - 1067 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 11 T + 177 T^{2} + 1067 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 12 T + 210 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 6 T + 198 T^{2} + 582 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 6 T + 198 T^{2} - 582 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 12 T + 210 T^{2} - 1164 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 10 T + 160 T^{2} + 814 T^{3} + 16542 T^{4} + 78958 T^{5} + 1505440 T^{6} + 9126730 T^{7} + 88529281 T^{8} \))(\( 1 + 9 T + 66 T^{2} + 423 T^{3} + 5786 T^{4} + 41031 T^{5} + 620994 T^{6} + 8214057 T^{7} + 88529281 T^{8} \))(\( 1 - 9 T + 66 T^{2} - 423 T^{3} + 5786 T^{4} - 41031 T^{5} + 620994 T^{6} - 8214057 T^{7} + 88529281 T^{8} \))(\( 1 - 4 T + 319 T^{2} - 1300 T^{3} + 50616 T^{4} - 187936 T^{5} + 4909752 T^{6} - 12231700 T^{7} + 291142687 T^{8} - 354117124 T^{9} + 8587340257 T^{10} \))(\( 1 - 4 T + 319 T^{2} - 1300 T^{3} + 50616 T^{4} - 187936 T^{5} + 4909752 T^{6} - 12231700 T^{7} + 291142687 T^{8} - 354117124 T^{9} + 8587340257 T^{10} \))(\( 1 + 4 T + 319 T^{2} + 1300 T^{3} + 50616 T^{4} + 187936 T^{5} + 4909752 T^{6} + 12231700 T^{7} + 291142687 T^{8} + 354117124 T^{9} + 8587340257 T^{10} \))(\( 1 + 4 T + 319 T^{2} + 1300 T^{3} + 50616 T^{4} + 187936 T^{5} + 4909752 T^{6} + 12231700 T^{7} + 291142687 T^{8} + 354117124 T^{9} + 8587340257 T^{10} \))(\( ( 1 - 9 T + 171 T^{2} - 1435 T^{3} + 26372 T^{4} - 139195 T^{5} + 1608939 T^{6} - 8214057 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 9 T + 171 T^{2} + 1435 T^{3} + 26372 T^{4} + 139195 T^{5} + 1608939 T^{6} + 8214057 T^{7} + 88529281 T^{8} )^{2} \))
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