Properties

Label 7623.2
Level 7623
Weight 2
Dimension 1553877
Nonzero newspaces 80
Sturm bound 8363520

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 7623 = 3^{2} \cdot 7 \cdot 11^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 80 \)
Sturm bound: \(8363520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(7623))\).

Total New Old
Modular forms 2106240 1566521 539719
Cusp forms 2075521 1553877 521644
Eisenstein series 30719 12644 18075

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(7623))\)

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
7623.2.a \(\chi_{7623}(1, \cdot)\) 7623.2.a.a 1 1
7623.2.a.b 1
7623.2.a.c 1
7623.2.a.d 1
7623.2.a.e 1
7623.2.a.f 1
7623.2.a.g 1
7623.2.a.h 1
7623.2.a.i 1
7623.2.a.j 1
7623.2.a.k 1
7623.2.a.l 1
7623.2.a.m 1
7623.2.a.n 1
7623.2.a.o 1
7623.2.a.p 1
7623.2.a.q 1
7623.2.a.r 1
7623.2.a.s 1
7623.2.a.t 2
7623.2.a.u 2
7623.2.a.v 2
7623.2.a.w 2
7623.2.a.x 2
7623.2.a.y 2
7623.2.a.z 2
7623.2.a.ba 2
7623.2.a.bb 2
7623.2.a.bc 2
7623.2.a.bd 2
7623.2.a.be 2
7623.2.a.bf 2
7623.2.a.bg 2
7623.2.a.bh 2
7623.2.a.bi 2
7623.2.a.bj 2
7623.2.a.bk 2
7623.2.a.bl 2
7623.2.a.bm 2
7623.2.a.bn 2
7623.2.a.bo 2
7623.2.a.bp 2
7623.2.a.bq 2
7623.2.a.br 2
7623.2.a.bs 2
7623.2.a.bt 2
7623.2.a.bu 2
7623.2.a.bv 2
7623.2.a.bw 2
7623.2.a.bx 2
7623.2.a.by 2
7623.2.a.bz 3
7623.2.a.ca 3
7623.2.a.cb 3
7623.2.a.cc 3
7623.2.a.cd 3
7623.2.a.ce 3
7623.2.a.cf 4
7623.2.a.cg 4
7623.2.a.ch 4
7623.2.a.ci 4
7623.2.a.cj 4
7623.2.a.ck 4
7623.2.a.cl 4
7623.2.a.cm 4
7623.2.a.cn 4
7623.2.a.co 4
7623.2.a.cp 6
7623.2.a.cq 6
7623.2.a.cr 6
7623.2.a.cs 6
7623.2.a.ct 8
7623.2.a.cu 8
7623.2.a.cv 8
7623.2.a.cw 8
7623.2.a.cx 10
7623.2.a.cy 10
7623.2.a.cz 12
7623.2.a.da 12
7623.2.a.db 16
7623.2.a.dc 16
7623.2.c \(\chi_{7623}(1693, \cdot)\) n/a 352 1
7623.2.e \(\chi_{7623}(1574, \cdot)\) n/a 292 1
7623.2.g \(\chi_{7623}(4355, \cdot)\) n/a 216 1
7623.2.i \(\chi_{7623}(2179, \cdot)\) n/a 708 2
7623.2.j \(\chi_{7623}(2542, \cdot)\) n/a 1308 2
7623.2.k \(\chi_{7623}(1453, \cdot)\) n/a 1708 2
7623.2.l \(\chi_{7623}(3994, \cdot)\) n/a 1708 2
7623.2.m \(\chi_{7623}(1576, \cdot)\) n/a 1080 4
7623.2.n \(\chi_{7623}(4478, \cdot)\) n/a 1708 2
7623.2.p \(\chi_{7623}(241, \cdot)\) n/a 1696 2
7623.2.r \(\chi_{7623}(725, \cdot)\) n/a 1696 2
7623.2.w \(\chi_{7623}(1814, \cdot)\) n/a 1296 2
7623.2.x \(\chi_{7623}(3266, \cdot)\) n/a 576 2
7623.2.ba \(\chi_{7623}(4597, \cdot)\) n/a 1696 2
7623.2.bd \(\chi_{7623}(4115, \cdot)\) n/a 1708 2
7623.2.be \(\chi_{7623}(2663, \cdot)\) n/a 580 2
7623.2.bg \(\chi_{7623}(2782, \cdot)\) n/a 704 2
7623.2.bj \(\chi_{7623}(4234, \cdot)\) n/a 1696 2
7623.2.bk \(\chi_{7623}(122, \cdot)\) n/a 1708 2
7623.2.bn \(\chi_{7623}(3992, \cdot)\) n/a 1696 2
7623.2.bq \(\chi_{7623}(2339, \cdot)\) n/a 864 4
7623.2.bs \(\chi_{7623}(251, \cdot)\) n/a 1152 4
7623.2.bu \(\chi_{7623}(118, \cdot)\) n/a 1408 4
7623.2.bw \(\chi_{7623}(694, \cdot)\) n/a 3300 10
7623.2.bx \(\chi_{7623}(1600, \cdot)\) n/a 6784 8
7623.2.by \(\chi_{7623}(130, \cdot)\) n/a 6784 8
7623.2.bz \(\chi_{7623}(487, \cdot)\) n/a 2816 8
7623.2.ca \(\chi_{7623}(148, \cdot)\) n/a 5184 8
7623.2.cc \(\chi_{7623}(197, \cdot)\) n/a 2640 10
7623.2.ce \(\chi_{7623}(188, \cdot)\) n/a 3520 10
7623.2.cg \(\chi_{7623}(307, \cdot)\) n/a 4380 10
7623.2.cj \(\chi_{7623}(578, \cdot)\) n/a 6784 8
7623.2.cm \(\chi_{7623}(614, \cdot)\) n/a 6784 8
7623.2.co \(\chi_{7623}(766, \cdot)\) n/a 2816 8
7623.2.cp \(\chi_{7623}(475, \cdot)\) n/a 6784 8
7623.2.cr \(\chi_{7623}(608, \cdot)\) n/a 6784 8
7623.2.cu \(\chi_{7623}(269, \cdot)\) n/a 2304 8
7623.2.cw \(\chi_{7623}(94, \cdot)\) n/a 6784 8
7623.2.cy \(\chi_{7623}(239, \cdot)\) n/a 5184 8
7623.2.db \(\chi_{7623}(233, \cdot)\) n/a 2304 8
7623.2.df \(\chi_{7623}(2048, \cdot)\) n/a 6784 8
7623.2.dh \(\chi_{7623}(40, \cdot)\) n/a 6784 8
7623.2.dj \(\chi_{7623}(2084, \cdot)\) n/a 6784 8
7623.2.dk \(\chi_{7623}(529, \cdot)\) n/a 21040 20
7623.2.dl \(\chi_{7623}(67, \cdot)\) n/a 21040 20
7623.2.dm \(\chi_{7623}(232, \cdot)\) n/a 15840 20
7623.2.dn \(\chi_{7623}(100, \cdot)\) n/a 8760 20
7623.2.do \(\chi_{7623}(64, \cdot)\) n/a 13200 40
7623.2.dq \(\chi_{7623}(263, \cdot)\) n/a 21040 20
7623.2.dt \(\chi_{7623}(551, \cdot)\) n/a 21040 20
7623.2.du \(\chi_{7623}(76, \cdot)\) n/a 21040 20
7623.2.dx \(\chi_{7623}(10, \cdot)\) n/a 8760 20
7623.2.dz \(\chi_{7623}(89, \cdot)\) n/a 7040 20
7623.2.ea \(\chi_{7623}(419, \cdot)\) n/a 21040 20
7623.2.ed \(\chi_{7623}(439, \cdot)\) n/a 21040 20
7623.2.eg \(\chi_{7623}(296, \cdot)\) n/a 7040 20
7623.2.eh \(\chi_{7623}(428, \cdot)\) n/a 15840 20
7623.2.em \(\chi_{7623}(32, \cdot)\) n/a 21040 20
7623.2.eo \(\chi_{7623}(670, \cdot)\) n/a 21040 20
7623.2.eq \(\chi_{7623}(320, \cdot)\) n/a 21040 20
7623.2.es \(\chi_{7623}(244, \cdot)\) n/a 17520 40
7623.2.eu \(\chi_{7623}(125, \cdot)\) n/a 14080 40
7623.2.ew \(\chi_{7623}(8, \cdot)\) n/a 10560 40
7623.2.ey \(\chi_{7623}(169, \cdot)\) n/a 63360 80
7623.2.ez \(\chi_{7623}(37, \cdot)\) n/a 35040 80
7623.2.fa \(\chi_{7623}(4, \cdot)\) n/a 84160 80
7623.2.fb \(\chi_{7623}(25, \cdot)\) n/a 84160 80
7623.2.fc \(\chi_{7623}(5, \cdot)\) n/a 84160 80
7623.2.fe \(\chi_{7623}(52, \cdot)\) n/a 84160 80
7623.2.fg \(\chi_{7623}(2, \cdot)\) n/a 84160 80
7623.2.fk \(\chi_{7623}(107, \cdot)\) n/a 28160 80
7623.2.fn \(\chi_{7623}(29, \cdot)\) n/a 63360 80
7623.2.fp \(\chi_{7623}(61, \cdot)\) n/a 84160 80
7623.2.fr \(\chi_{7623}(26, \cdot)\) n/a 28160 80
7623.2.fu \(\chi_{7623}(20, \cdot)\) n/a 84160 80
7623.2.fw \(\chi_{7623}(13, \cdot)\) n/a 84160 80
7623.2.fx \(\chi_{7623}(19, \cdot)\) n/a 35040 80
7623.2.fz \(\chi_{7623}(47, \cdot)\) n/a 84160 80
7623.2.gc \(\chi_{7623}(74, \cdot)\) n/a 84160 80

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(7623))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(7623)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(99))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(121))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(231))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(363))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(693))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(847))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1089))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2541))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( ( 1 + T + 2 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 2 T^{3} + 4 T^{4} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( 1 + T^{2} + 4 T^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T - 2 T^{3} + 4 T^{4} \))(\( ( 1 - T + 2 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 + 2 T + T^{2} + 2 T^{4} + 8 T^{5} + 8 T^{6} \))(\( 1 + T + 2 T^{2} + 2 T^{3} + 4 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 - T^{3} + 8 T^{6} \))(\( 1 - T + 2 T^{2} - 2 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 - 2 T + 2 T^{2} - T^{3} + 4 T^{4} - 8 T^{5} + 8 T^{6} \))(\( 1 - 2 T + T^{2} + 2 T^{4} - 8 T^{5} + 8 T^{6} \))(\( 1 + 2 T + 4 T^{2} + 4 T^{3} + 6 T^{4} + 8 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 4 T^{2} + 4 T^{3} + 6 T^{4} + 8 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 4 T^{2} + 7 T^{3} + 13 T^{4} + 14 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + T + 3 T^{2} - T^{3} + 3 T^{4} - 2 T^{5} + 12 T^{6} + 8 T^{7} + 16 T^{8} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{2} \))(\( 1 - T + 3 T^{2} + T^{3} + 3 T^{4} + 2 T^{5} + 12 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 4 T^{3} + 6 T^{4} - 8 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 4 T^{3} + 6 T^{4} - 8 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 7 T^{3} + 13 T^{4} - 14 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 + 4 T + 12 T^{2} + 28 T^{3} + 56 T^{4} + 96 T^{5} + 145 T^{6} + 192 T^{7} + 224 T^{8} + 224 T^{9} + 192 T^{10} + 128 T^{11} + 64 T^{12} \))(\( 1 + 4 T^{2} + 8 T^{4} + 15 T^{6} + 32 T^{8} + 64 T^{10} + 64 T^{12} \))(\( 1 + 4 T^{2} + 8 T^{4} + 15 T^{6} + 32 T^{8} + 64 T^{10} + 64 T^{12} \))(\( 1 - 4 T + 12 T^{2} - 28 T^{3} + 56 T^{4} - 96 T^{5} + 145 T^{6} - 192 T^{7} + 224 T^{8} - 224 T^{9} + 192 T^{10} - 128 T^{11} + 64 T^{12} \))(\( 1 + T + 5 T^{2} + 4 T^{3} + 15 T^{4} + 14 T^{5} + 38 T^{6} + 30 T^{7} + 75 T^{8} + 60 T^{9} + 152 T^{10} + 112 T^{11} + 240 T^{12} + 128 T^{13} + 320 T^{14} + 128 T^{15} + 256 T^{16} \))(\( 1 + 7 T^{2} + 26 T^{4} + 73 T^{6} + 165 T^{8} + 292 T^{10} + 416 T^{12} + 448 T^{14} + 256 T^{16} \))(\( 1 + 7 T^{2} + 26 T^{4} + 73 T^{6} + 165 T^{8} + 292 T^{10} + 416 T^{12} + 448 T^{14} + 256 T^{16} \))(\( 1 - T + 5 T^{2} - 4 T^{3} + 15 T^{4} - 14 T^{5} + 38 T^{6} - 30 T^{7} + 75 T^{8} - 60 T^{9} + 152 T^{10} - 112 T^{11} + 240 T^{12} - 128 T^{13} + 320 T^{14} - 128 T^{15} + 256 T^{16} \))(\( 1 + T^{2} + T^{3} + 8 T^{5} + 4 T^{6} + 7 T^{7} + 13 T^{8} + 8 T^{9} + 41 T^{10} + 16 T^{11} + 52 T^{12} + 56 T^{13} + 64 T^{14} + 256 T^{15} + 128 T^{17} + 256 T^{18} + 1024 T^{20} \))(\( 1 + T^{2} - T^{3} - 8 T^{5} + 4 T^{6} - 7 T^{7} + 13 T^{8} - 8 T^{9} + 41 T^{10} - 16 T^{11} + 52 T^{12} - 56 T^{13} + 64 T^{14} - 256 T^{15} - 128 T^{17} + 256 T^{18} + 1024 T^{20} \))(\( 1 + 2 T^{2} + 5 T^{4} + 4 T^{6} + 8 T^{8} - 24 T^{10} - 12 T^{12} - 96 T^{14} + 128 T^{16} + 256 T^{18} + 1280 T^{20} + 2048 T^{22} + 4096 T^{24} \))(\( 1 + 2 T^{2} + 5 T^{4} + 4 T^{6} + 8 T^{8} - 24 T^{10} - 12 T^{12} - 96 T^{14} + 128 T^{16} + 256 T^{18} + 1280 T^{20} + 2048 T^{22} + 4096 T^{24} \))(\( 1 + 6 T^{2} + 20 T^{4} + 53 T^{6} + 136 T^{8} + 321 T^{10} + 742 T^{12} + 1732 T^{14} + 3753 T^{16} + 6928 T^{18} + 11872 T^{20} + 20544 T^{22} + 34816 T^{24} + 54272 T^{26} + 81920 T^{28} + 98304 T^{30} + 65536 T^{32} \))(\( 1 + 6 T^{2} + 20 T^{4} + 53 T^{6} + 136 T^{8} + 321 T^{10} + 742 T^{12} + 1732 T^{14} + 3753 T^{16} + 6928 T^{18} + 11872 T^{20} + 20544 T^{22} + 34816 T^{24} + 54272 T^{26} + 81920 T^{28} + 98304 T^{30} + 65536 T^{32} \))
$3$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$5$ (\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 + T + 9 T^{2} + 5 T^{3} + 25 T^{4} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( 1 + T - T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + 5 T^{2} + 25 T^{4} \))(\( 1 - T + 9 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 11 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 9 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 3 T^{2} + 25 T^{4} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( ( 1 + 3 T + 5 T^{2} )^{2} \))(\( 1 - 3 T^{2} + 25 T^{4} \))(\( 1 - 3 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 + T + 9 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T + 9 T^{2} + 5 T^{3} + 25 T^{4} \))(\( ( 1 - 2 T + 5 T^{2} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 + 5 T^{2} + 25 T^{4} \))(\( 1 - T + 9 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 11 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 9 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 - 3 T^{2} + 25 T^{4} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 + T - T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 + T + 9 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T + 7 T^{2} + 6 T^{3} + 35 T^{4} + 25 T^{5} + 125 T^{6} \))(\( 1 + T + 8 T^{2} + 11 T^{3} + 40 T^{4} + 25 T^{5} + 125 T^{6} \))(\( 1 - 2 T^{3} + 125 T^{6} \))(\( 1 + T + 8 T^{2} + 11 T^{3} + 40 T^{4} + 25 T^{5} + 125 T^{6} \))(\( 1 + 4 T + 8 T^{2} + 14 T^{3} + 40 T^{4} + 100 T^{5} + 125 T^{6} \))(\( 1 + T + 7 T^{2} + 6 T^{3} + 35 T^{4} + 25 T^{5} + 125 T^{6} \))(\( 1 + 6 T + 28 T^{2} + 84 T^{3} + 219 T^{4} + 420 T^{5} + 700 T^{6} + 750 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 16 T^{2} - 28 T^{3} + 111 T^{4} - 140 T^{5} + 400 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 6 T + 28 T^{2} - 87 T^{3} + 229 T^{4} - 435 T^{5} + 700 T^{6} - 750 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 12 T^{2} - 36 T^{3} + 86 T^{4} - 180 T^{5} + 300 T^{6} - 500 T^{7} + 625 T^{8} \))(\( ( 1 + 3 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 3 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 4 T + 12 T^{2} - 36 T^{3} + 86 T^{4} - 180 T^{5} + 300 T^{6} - 500 T^{7} + 625 T^{8} \))(\( 1 + 6 T + 28 T^{2} + 84 T^{3} + 219 T^{4} + 420 T^{5} + 700 T^{6} + 750 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 16 T^{2} - 28 T^{3} + 111 T^{4} - 140 T^{5} + 400 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 6 T + 28 T^{2} - 87 T^{3} + 229 T^{4} - 435 T^{5} + 700 T^{6} - 750 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 21 T^{2} - 64 T^{3} + 194 T^{4} - 468 T^{5} + 1141 T^{6} - 2340 T^{7} + 4850 T^{8} - 8000 T^{9} + 13125 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 16 T^{2} + 140 T^{4} + 834 T^{6} + 3500 T^{8} + 10000 T^{10} + 15625 T^{12} \))(\( 1 + 16 T^{2} + 140 T^{4} + 834 T^{6} + 3500 T^{8} + 10000 T^{10} + 15625 T^{12} \))(\( 1 - 4 T + 21 T^{2} - 64 T^{3} + 194 T^{4} - 468 T^{5} + 1141 T^{6} - 2340 T^{7} + 4850 T^{8} - 8000 T^{9} + 13125 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 10 T + 62 T^{2} + 283 T^{3} + 1075 T^{4} + 3513 T^{5} + 10230 T^{6} + 26646 T^{7} + 62784 T^{8} + 133230 T^{9} + 255750 T^{10} + 439125 T^{11} + 671875 T^{12} + 884375 T^{13} + 968750 T^{14} + 781250 T^{15} + 390625 T^{16} \))(\( ( 1 + 13 T^{2} + 91 T^{4} + 325 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 + 13 T^{2} + 91 T^{4} + 325 T^{6} + 625 T^{8} )^{2} \))(\( 1 + 10 T + 62 T^{2} + 283 T^{3} + 1075 T^{4} + 3513 T^{5} + 10230 T^{6} + 26646 T^{7} + 62784 T^{8} + 133230 T^{9} + 255750 T^{10} + 439125 T^{11} + 671875 T^{12} + 884375 T^{13} + 968750 T^{14} + 781250 T^{15} + 390625 T^{16} \))(\( 1 + 5 T + 22 T^{2} + 46 T^{3} + 113 T^{4} + 108 T^{5} + 391 T^{6} + 538 T^{7} + 4002 T^{8} + 9087 T^{9} + 31806 T^{10} + 45435 T^{11} + 100050 T^{12} + 67250 T^{13} + 244375 T^{14} + 337500 T^{15} + 1765625 T^{16} + 3593750 T^{17} + 8593750 T^{18} + 9765625 T^{19} + 9765625 T^{20} \))(\( 1 + 5 T + 22 T^{2} + 46 T^{3} + 113 T^{4} + 108 T^{5} + 391 T^{6} + 538 T^{7} + 4002 T^{8} + 9087 T^{9} + 31806 T^{10} + 45435 T^{11} + 100050 T^{12} + 67250 T^{13} + 244375 T^{14} + 337500 T^{15} + 1765625 T^{16} + 3593750 T^{17} + 8593750 T^{18} + 9765625 T^{19} + 9765625 T^{20} \))(\( 1 + 14 T^{2} + 101 T^{4} + 490 T^{6} + 2846 T^{8} + 20574 T^{10} + 123321 T^{12} + 514350 T^{14} + 1778750 T^{16} + 7656250 T^{18} + 39453125 T^{20} + 136718750 T^{22} + 244140625 T^{24} \))(\( 1 + 14 T^{2} + 101 T^{4} + 490 T^{6} + 2846 T^{8} + 20574 T^{10} + 123321 T^{12} + 514350 T^{14} + 1778750 T^{16} + 7656250 T^{18} + 39453125 T^{20} + 136718750 T^{22} + 244140625 T^{24} \))(\( 1 + 18 T^{2} + 187 T^{4} + 1440 T^{6} + 9271 T^{8} + 50940 T^{10} + 254033 T^{12} + 1194274 T^{14} + 5790136 T^{16} + 29856850 T^{18} + 158770625 T^{20} + 795937500 T^{22} + 3621484375 T^{24} + 14062500000 T^{26} + 45654296875 T^{28} + 109863281250 T^{30} + 152587890625 T^{32} \))(\( 1 + 18 T^{2} + 187 T^{4} + 1440 T^{6} + 9271 T^{8} + 50940 T^{10} + 254033 T^{12} + 1194274 T^{14} + 5790136 T^{16} + 29856850 T^{18} + 158770625 T^{20} + 795937500 T^{22} + 3621484375 T^{24} + 14062500000 T^{26} + 45654296875 T^{28} + 109863281250 T^{30} + 152587890625 T^{32} \))
$7$ (\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{10} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{16} \))
$11$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$13$ (\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 7 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 24 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 25 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 25 T^{2} + 52 T^{3} + 169 T^{4} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( 1 - 8 T + 37 T^{2} - 104 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 22 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( 1 - 7 T + 34 T^{2} - 91 T^{3} + 169 T^{4} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 7 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( 1 + 8 T + 37 T^{2} + 104 T^{3} + 169 T^{4} \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( 1 + 6 T + 22 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 + 7 T + 34 T^{2} + 91 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 24 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 7 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 144 T^{3} + 533 T^{4} - 1352 T^{5} + 2197 T^{6} \))(\( 1 - 7 T + 51 T^{2} - 184 T^{3} + 663 T^{4} - 1183 T^{5} + 2197 T^{6} \))(\( 1 + 24 T^{2} - 2 T^{3} + 312 T^{4} + 2197 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 184 T^{3} + 663 T^{4} + 1183 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 12 T^{2} - 10 T^{3} + 156 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 + 8 T + 41 T^{2} + 144 T^{3} + 533 T^{4} + 1352 T^{5} + 2197 T^{6} \))(\( 1 + 2 T + 12 T^{2} + 46 T^{3} + 332 T^{4} + 598 T^{5} + 2028 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - 10 T + 84 T^{2} - 422 T^{3} + 1844 T^{4} - 5486 T^{5} + 14196 T^{6} - 21970 T^{7} + 28561 T^{8} \))(\( 1 + 20 T^{2} - 65 T^{3} + 153 T^{4} - 845 T^{5} + 3380 T^{6} + 28561 T^{8} \))(\( 1 - 6 T + 44 T^{2} - 218 T^{3} + 822 T^{4} - 2834 T^{5} + 7436 T^{6} - 13182 T^{7} + 28561 T^{8} \))(\( ( 1 - 4 T + 16 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 4 T + 16 T^{2} + 52 T^{3} + 169 T^{4} )^{2} \))(\( 1 + 6 T + 44 T^{2} + 218 T^{3} + 822 T^{4} + 2834 T^{5} + 7436 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 - 2 T + 12 T^{2} - 46 T^{3} + 332 T^{4} - 598 T^{5} + 2028 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 10 T + 84 T^{2} + 422 T^{3} + 1844 T^{4} + 5486 T^{5} + 14196 T^{6} + 21970 T^{7} + 28561 T^{8} \))(\( 1 + 20 T^{2} + 65 T^{3} + 153 T^{4} + 845 T^{5} + 3380 T^{6} + 28561 T^{8} \))(\( 1 - 4 T + 59 T^{2} - 188 T^{3} + 1511 T^{4} - 3984 T^{5} + 23754 T^{6} - 51792 T^{7} + 255359 T^{8} - 413036 T^{9} + 1685099 T^{10} - 1485172 T^{11} + 4826809 T^{12} \))(\( ( 1 + 2 T + 20 T^{2} + 48 T^{3} + 260 T^{4} + 338 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 - 2 T + 20 T^{2} - 48 T^{3} + 260 T^{4} - 338 T^{5} + 2197 T^{6} )^{2} \))(\( 1 + 4 T + 59 T^{2} + 188 T^{3} + 1511 T^{4} + 3984 T^{5} + 23754 T^{6} + 51792 T^{7} + 255359 T^{8} + 413036 T^{9} + 1685099 T^{10} + 1485172 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 68 T^{2} + 285 T^{3} + 2119 T^{4} + 7443 T^{5} + 44016 T^{6} + 130942 T^{7} + 656120 T^{8} + 1702246 T^{9} + 7438704 T^{10} + 16352271 T^{11} + 60520759 T^{12} + 105818505 T^{13} + 328223012 T^{14} + 376491102 T^{15} + 815730721 T^{16} \))(\( ( 1 + 41 T^{2} + 10 T^{3} + 732 T^{4} + 130 T^{5} + 6929 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 41 T^{2} - 10 T^{3} + 732 T^{4} - 130 T^{5} + 6929 T^{6} + 28561 T^{8} )^{2} \))(\( 1 - 6 T + 68 T^{2} - 285 T^{3} + 2119 T^{4} - 7443 T^{5} + 44016 T^{6} - 130942 T^{7} + 656120 T^{8} - 1702246 T^{9} + 7438704 T^{10} - 16352271 T^{11} + 60520759 T^{12} - 105818505 T^{13} + 328223012 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 + 6 T + 65 T^{2} + 368 T^{3} + 2385 T^{4} + 10918 T^{5} + 56756 T^{6} + 221994 T^{7} + 984630 T^{8} + 3474482 T^{9} + 13929014 T^{10} + 45168266 T^{11} + 166402470 T^{12} + 487720818 T^{13} + 1621008116 T^{14} + 4053776974 T^{15} + 11511939465 T^{16} + 23091454256 T^{17} + 53022496865 T^{18} + 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 - 6 T + 65 T^{2} - 368 T^{3} + 2385 T^{4} - 10918 T^{5} + 56756 T^{6} - 221994 T^{7} + 984630 T^{8} - 3474482 T^{9} + 13929014 T^{10} - 45168266 T^{11} + 166402470 T^{12} - 487720818 T^{13} + 1621008116 T^{14} - 4053776974 T^{15} + 11511939465 T^{16} - 23091454256 T^{17} + 53022496865 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} \))(\( ( 1 + 10 T + 83 T^{2} + 500 T^{3} + 2621 T^{4} + 11310 T^{5} + 44436 T^{6} + 147030 T^{7} + 442949 T^{8} + 1098500 T^{9} + 2370563 T^{10} + 3712930 T^{11} + 4826809 T^{12} )^{2} \))(\( ( 1 - 10 T + 83 T^{2} - 500 T^{3} + 2621 T^{4} - 11310 T^{5} + 44436 T^{6} - 147030 T^{7} + 442949 T^{8} - 1098500 T^{9} + 2370563 T^{10} - 3712930 T^{11} + 4826809 T^{12} )^{2} \))(\( ( 1 + 23 T^{2} - 60 T^{3} + 430 T^{4} - 1620 T^{5} + 6513 T^{6} - 25120 T^{7} + 110114 T^{8} - 326560 T^{9} + 1100697 T^{10} - 3559140 T^{11} + 12281230 T^{12} - 22277580 T^{13} + 111016607 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 23 T^{2} + 60 T^{3} + 430 T^{4} + 1620 T^{5} + 6513 T^{6} + 25120 T^{7} + 110114 T^{8} + 326560 T^{9} + 1100697 T^{10} + 3559140 T^{11} + 12281230 T^{12} + 22277580 T^{13} + 111016607 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 - 7 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 5 T + 9 T^{2} + 85 T^{3} + 289 T^{4} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( 1 + 4 T + 18 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 9 T + 43 T^{2} - 153 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 35 T^{2} - 68 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( 1 - 2 T + 15 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 33 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 14 T^{2} + 289 T^{4} \))(\( 1 + 9 T + 51 T^{2} + 153 T^{3} + 289 T^{4} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 - 6 T + 22 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 21 T^{2} + 289 T^{4} \))(\( 1 + 21 T^{2} + 289 T^{4} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( 1 - 3 T + 25 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T + 25 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 2 T + 30 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 38 T^{2} - 102 T^{3} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 15 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 33 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 + 14 T^{2} + 289 T^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( 1 - 9 T + 51 T^{2} - 153 T^{3} + 289 T^{4} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 + 9 T + 43 T^{2} + 153 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 35 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 9 T^{2} - 85 T^{3} + 289 T^{4} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( 1 + 8 T + 53 T^{2} + 208 T^{3} + 901 T^{4} + 2312 T^{5} + 4913 T^{6} \))(\( 1 + T + 44 T^{2} + 35 T^{3} + 748 T^{4} + 289 T^{5} + 4913 T^{6} \))(\( 1 + 27 T^{2} + 8 T^{3} + 459 T^{4} + 4913 T^{6} \))(\( 1 - T + 44 T^{2} - 35 T^{3} + 748 T^{4} - 289 T^{5} + 4913 T^{6} \))(\( 1 - 8 T + 11 T^{2} + 56 T^{3} + 187 T^{4} - 2312 T^{5} + 4913 T^{6} \))(\( 1 - 8 T + 53 T^{2} - 208 T^{3} + 901 T^{4} - 2312 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 56 T^{2} + 80 T^{3} + 1339 T^{4} + 1360 T^{5} + 16184 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 + 6 T + 28 T^{2} + 24 T^{3} + 111 T^{4} + 408 T^{5} + 8092 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 3 T + 45 T^{2} - 62 T^{3} + 881 T^{4} - 1054 T^{5} + 13005 T^{6} - 14739 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 48 T^{2} + 264 T^{3} + 1358 T^{4} + 4488 T^{5} + 13872 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 + 38 T^{2} + 715 T^{4} + 10982 T^{6} + 83521 T^{8} \))(\( 1 + 38 T^{2} + 715 T^{4} + 10982 T^{6} + 83521 T^{8} \))(\( 1 - 8 T + 48 T^{2} - 264 T^{3} + 1358 T^{4} - 4488 T^{5} + 13872 T^{6} - 39304 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 56 T^{2} - 80 T^{3} + 1339 T^{4} - 1360 T^{5} + 16184 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 28 T^{2} - 24 T^{3} + 111 T^{4} - 408 T^{5} + 8092 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 + 3 T + 45 T^{2} + 62 T^{3} + 881 T^{4} + 1054 T^{5} + 13005 T^{6} + 14739 T^{7} + 83521 T^{8} \))(\( 1 + 22 T + 284 T^{2} + 2536 T^{3} + 17485 T^{4} + 96354 T^{5} + 437477 T^{6} + 1638018 T^{7} + 5053165 T^{8} + 12459368 T^{9} + 23719964 T^{10} + 31236854 T^{11} + 24137569 T^{12} \))(\( 1 + 54 T^{2} + 1199 T^{4} + 19316 T^{6} + 346511 T^{8} + 4510134 T^{10} + 24137569 T^{12} \))(\( 1 + 54 T^{2} + 1199 T^{4} + 19316 T^{6} + 346511 T^{8} + 4510134 T^{10} + 24137569 T^{12} \))(\( 1 - 22 T + 284 T^{2} - 2536 T^{3} + 17485 T^{4} - 96354 T^{5} + 437477 T^{6} - 1638018 T^{7} + 5053165 T^{8} - 12459368 T^{9} + 23719964 T^{10} - 31236854 T^{11} + 24137569 T^{12} \))(\( 1 - 5 T + 99 T^{2} - 384 T^{3} + 4383 T^{4} - 13616 T^{5} + 119813 T^{6} - 309659 T^{7} + 2344384 T^{8} - 5264203 T^{9} + 34625957 T^{10} - 66895408 T^{11} + 366072543 T^{12} - 545225088 T^{13} + 2389619331 T^{14} - 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 + 87 T^{2} + 3340 T^{4} + 79142 T^{6} + 1448129 T^{8} + 22872038 T^{10} + 278960140 T^{12} + 2099968503 T^{14} + 6975757441 T^{16} \))(\( 1 + 87 T^{2} + 3340 T^{4} + 79142 T^{6} + 1448129 T^{8} + 22872038 T^{10} + 278960140 T^{12} + 2099968503 T^{14} + 6975757441 T^{16} \))(\( 1 + 5 T + 99 T^{2} + 384 T^{3} + 4383 T^{4} + 13616 T^{5} + 119813 T^{6} + 309659 T^{7} + 2344384 T^{8} + 5264203 T^{9} + 34625957 T^{10} + 66895408 T^{11} + 366072543 T^{12} + 545225088 T^{13} + 2389619331 T^{14} + 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 - 8 T + 136 T^{2} - 954 T^{3} + 9093 T^{4} - 54096 T^{5} + 378365 T^{6} - 1910556 T^{7} + 10713786 T^{8} - 46048194 T^{9} + 215035238 T^{10} - 782819298 T^{11} + 3096284154 T^{12} - 9386561628 T^{13} + 31601423165 T^{14} - 76808584272 T^{15} + 219482914917 T^{16} - 391463094042 T^{17} + 948703011976 T^{18} - 948703011976 T^{19} + 2015993900449 T^{20} \))(\( 1 + 8 T + 136 T^{2} + 954 T^{3} + 9093 T^{4} + 54096 T^{5} + 378365 T^{6} + 1910556 T^{7} + 10713786 T^{8} + 46048194 T^{9} + 215035238 T^{10} + 782819298 T^{11} + 3096284154 T^{12} + 9386561628 T^{13} + 31601423165 T^{14} + 76808584272 T^{15} + 219482914917 T^{16} + 391463094042 T^{17} + 948703011976 T^{18} + 948703011976 T^{19} + 2015993900449 T^{20} \))(\( 1 + 90 T^{2} + 4261 T^{4} + 146590 T^{6} + 4020830 T^{8} + 89661290 T^{10} + 1660695689 T^{12} + 25912112810 T^{14} + 335823742430 T^{16} + 3538326239710 T^{18} + 29723702456101 T^{20} + 181439451040410 T^{22} + 582622237229761 T^{24} \))(\( 1 + 90 T^{2} + 4261 T^{4} + 146590 T^{6} + 4020830 T^{8} + 89661290 T^{10} + 1660695689 T^{12} + 25912112810 T^{14} + 335823742430 T^{16} + 3538326239710 T^{18} + 29723702456101 T^{20} + 181439451040410 T^{22} + 582622237229761 T^{24} \))(\( 1 + 83 T^{2} + 3996 T^{4} + 141086 T^{6} + 4032975 T^{8} + 98649908 T^{10} + 2136156760 T^{12} + 41705258555 T^{14} + 742088310776 T^{16} + 12052819722395 T^{18} + 178413948751960 T^{20} + 2381168961193652 T^{22} + 28133055365616975 T^{24} + 284428515438747614 T^{26} + 2328158459970124956 T^{28} + 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 83 T^{2} + 3996 T^{4} + 141086 T^{6} + 4032975 T^{8} + 98649908 T^{10} + 2136156760 T^{12} + 41705258555 T^{14} + 742088310776 T^{16} + 12052819722395 T^{18} + 178413948751960 T^{20} + 2381168961193652 T^{22} + 28133055365616975 T^{24} + 284428515438747614 T^{26} + 2328158459970124956 T^{28} + 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 8 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 8 T + 49 T^{2} - 152 T^{3} + 361 T^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( 1 - 2 T + 19 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 39 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 20 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 27 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 3 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( 1 - 4 T + 21 T^{2} - 76 T^{3} + 361 T^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( 1 - T + 27 T^{2} - 19 T^{3} + 361 T^{4} \))(\( 1 + T + 27 T^{2} + 19 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 7 T^{2} + 361 T^{4} \))(\( 1 + 6 T + 27 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 76 T^{3} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 3 T + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( 1 - 3 T + 39 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 20 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 19 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 49 T^{2} + 152 T^{3} + 361 T^{4} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( 1 + 17 T^{2} - 64 T^{3} + 323 T^{4} + 6859 T^{6} \))(\( 1 - 8 T + 63 T^{2} - 260 T^{3} + 1197 T^{4} - 2888 T^{5} + 6859 T^{6} \))(\( 1 + 12 T + 84 T^{2} + 420 T^{3} + 1596 T^{4} + 4332 T^{5} + 6859 T^{6} \))(\( 1 + 8 T + 63 T^{2} + 260 T^{3} + 1197 T^{4} + 2888 T^{5} + 6859 T^{6} \))(\( 1 - 8 T + 72 T^{2} - 308 T^{3} + 1368 T^{4} - 2888 T^{5} + 6859 T^{6} \))(\( 1 + 17 T^{2} + 64 T^{3} + 323 T^{4} + 6859 T^{6} \))(\( 1 - 6 T + 72 T^{2} - 330 T^{3} + 2012 T^{4} - 6270 T^{5} + 25992 T^{6} - 41154 T^{7} + 130321 T^{8} \))(\( 1 - 18 T + 184 T^{2} - 1278 T^{3} + 6468 T^{4} - 24282 T^{5} + 66424 T^{6} - 123462 T^{7} + 130321 T^{8} \))(\( 1 - 3 T + 47 T^{2} - 36 T^{3} + 919 T^{4} - 684 T^{5} + 16967 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 + 10 T + 100 T^{2} + 570 T^{3} + 3062 T^{4} + 10830 T^{5} + 36100 T^{6} + 68590 T^{7} + 130321 T^{8} \))(\( ( 1 + 4 T + 28 T^{2} + 76 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 4 T + 28 T^{2} - 76 T^{3} + 361 T^{4} )^{2} \))(\( 1 - 10 T + 100 T^{2} - 570 T^{3} + 3062 T^{4} - 10830 T^{5} + 36100 T^{6} - 68590 T^{7} + 130321 T^{8} \))(\( 1 + 6 T + 72 T^{2} + 330 T^{3} + 2012 T^{4} + 6270 T^{5} + 25992 T^{6} + 41154 T^{7} + 130321 T^{8} \))(\( 1 + 18 T + 184 T^{2} + 1278 T^{3} + 6468 T^{4} + 24282 T^{5} + 66424 T^{6} + 123462 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 47 T^{2} + 36 T^{3} + 919 T^{4} + 684 T^{5} + 16967 T^{6} + 20577 T^{7} + 130321 T^{8} \))(\( 1 - 6 T + 64 T^{2} - 428 T^{3} + 2540 T^{4} - 12238 T^{5} + 64622 T^{6} - 232522 T^{7} + 916940 T^{8} - 2935652 T^{9} + 8340544 T^{10} - 14856594 T^{11} + 47045881 T^{12} \))(\( ( 1 + 20 T^{2} + 16 T^{3} + 380 T^{4} + 6859 T^{6} )^{2} \))(\( ( 1 + 20 T^{2} - 16 T^{3} + 380 T^{4} + 6859 T^{6} )^{2} \))(\( 1 + 6 T + 64 T^{2} + 428 T^{3} + 2540 T^{4} + 12238 T^{5} + 64622 T^{6} + 232522 T^{7} + 916940 T^{8} + 2935652 T^{9} + 8340544 T^{10} + 14856594 T^{11} + 47045881 T^{12} \))(\( 1 + 13 T + 167 T^{2} + 1424 T^{3} + 11403 T^{4} + 72606 T^{5} + 434133 T^{6} + 2182431 T^{7} + 10302272 T^{8} + 41466189 T^{9} + 156722013 T^{10} + 498004554 T^{11} + 1486050363 T^{12} + 3525964976 T^{13} + 7856662127 T^{14} + 11620332607 T^{15} + 16983563041 T^{16} \))(\( ( 1 + 3 T + 35 T^{2} + 153 T^{3} + 844 T^{4} + 2907 T^{5} + 12635 T^{6} + 20577 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 3 T + 35 T^{2} - 153 T^{3} + 844 T^{4} - 2907 T^{5} + 12635 T^{6} - 20577 T^{7} + 130321 T^{8} )^{2} \))(\( 1 - 13 T + 167 T^{2} - 1424 T^{3} + 11403 T^{4} - 72606 T^{5} + 434133 T^{6} - 2182431 T^{7} + 10302272 T^{8} - 41466189 T^{9} + 156722013 T^{10} - 498004554 T^{11} + 1486050363 T^{12} - 3525964976 T^{13} + 7856662127 T^{14} - 11620332607 T^{15} + 16983563041 T^{16} \))(\( 1 + 69 T^{2} - 136 T^{3} + 2758 T^{4} - 8362 T^{5} + 89118 T^{6} - 289638 T^{7} + 2274617 T^{8} - 7545660 T^{9} + 46843450 T^{10} - 143367540 T^{11} + 821136737 T^{12} - 1986627042 T^{13} + 11613946878 T^{14} - 20705139838 T^{15} + 129752539798 T^{16} - 121566556504 T^{17} + 1171865849829 T^{18} + 6131066257801 T^{20} \))(\( 1 + 69 T^{2} + 136 T^{3} + 2758 T^{4} + 8362 T^{5} + 89118 T^{6} + 289638 T^{7} + 2274617 T^{8} + 7545660 T^{9} + 46843450 T^{10} + 143367540 T^{11} + 821136737 T^{12} + 1986627042 T^{13} + 11613946878 T^{14} + 20705139838 T^{15} + 129752539798 T^{16} + 121566556504 T^{17} + 1171865849829 T^{18} + 6131066257801 T^{20} \))(\( ( 1 + 6 T + 106 T^{2} + 530 T^{3} + 4853 T^{4} + 19396 T^{5} + 121592 T^{6} + 368524 T^{7} + 1751933 T^{8} + 3635270 T^{9} + 13814026 T^{10} + 14856594 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - 6 T + 106 T^{2} - 530 T^{3} + 4853 T^{4} - 19396 T^{5} + 121592 T^{6} - 368524 T^{7} + 1751933 T^{8} - 3635270 T^{9} + 13814026 T^{10} - 14856594 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 + 5 T + 53 T^{2} + 385 T^{3} + 2238 T^{4} + 13185 T^{5} + 71811 T^{6} + 329805 T^{7} + 1585730 T^{8} + 6266295 T^{9} + 25923771 T^{10} + 90435915 T^{11} + 291658398 T^{12} + 953298115 T^{13} + 2493431693 T^{14} + 4469358695 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 5 T + 53 T^{2} - 385 T^{3} + 2238 T^{4} - 13185 T^{5} + 71811 T^{6} - 329805 T^{7} + 1585730 T^{8} - 6266295 T^{9} + 25923771 T^{10} - 90435915 T^{11} + 291658398 T^{12} - 953298115 T^{13} + 2493431693 T^{14} - 4469358695 T^{15} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 + 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - T + 15 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 10 T + 66 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 42 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 21 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 + 10 T + 68 T^{2} + 230 T^{3} + 529 T^{4} \))(\( ( 1 - 2 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 42 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 42 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 - 9 T + 63 T^{2} - 207 T^{3} + 529 T^{4} \))(\( ( 1 - 2 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 26 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T^{2} + 529 T^{4} \))(\( 1 - 6 T^{2} + 529 T^{4} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 + 11 T + 75 T^{2} + 253 T^{3} + 529 T^{4} \))(\( 1 + 11 T + 75 T^{2} + 253 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} \))(\( ( 1 - 2 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 42 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 42 T^{2} + 184 T^{3} + 529 T^{4} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( 1 - 9 T + 63 T^{2} - 207 T^{3} + 529 T^{4} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 + 5 T + 21 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 + 10 T + 68 T^{2} + 230 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 42 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 - T + 15 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 10 T + 66 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 + 7 T + 77 T^{2} + 314 T^{3} + 1771 T^{4} + 3703 T^{5} + 12167 T^{6} \))(\( 1 - 2 T - 9 T^{2} + 60 T^{3} - 207 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 - 6 T + 57 T^{2} - 244 T^{3} + 1311 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 - 2 T - 9 T^{2} + 60 T^{3} - 207 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 + 10 T + 81 T^{2} + 396 T^{3} + 1863 T^{4} + 5290 T^{5} + 12167 T^{6} \))(\( 1 + 7 T + 77 T^{2} + 314 T^{3} + 1771 T^{4} + 3703 T^{5} + 12167 T^{6} \))(\( 1 + 10 T + 116 T^{2} + 694 T^{3} + 4276 T^{4} + 15962 T^{5} + 61364 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 - 2 T + 28 T^{2} - 190 T^{3} + 516 T^{4} - 4370 T^{5} + 14812 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 83 T^{2} - 402 T^{3} + 2555 T^{4} - 9246 T^{5} + 43907 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 83 T^{2} - 500 T^{3} + 2869 T^{4} - 11500 T^{5} + 43907 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 + 32 T^{2} + 1090 T^{4} + 16928 T^{6} + 279841 T^{8} \))(\( 1 + 32 T^{2} + 1090 T^{4} + 16928 T^{6} + 279841 T^{8} \))(\( 1 - 10 T + 83 T^{2} - 500 T^{3} + 2869 T^{4} - 11500 T^{5} + 43907 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 + 10 T + 116 T^{2} + 694 T^{3} + 4276 T^{4} + 15962 T^{5} + 61364 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 - 2 T + 28 T^{2} - 190 T^{3} + 516 T^{4} - 4370 T^{5} + 14812 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 83 T^{2} - 402 T^{3} + 2555 T^{4} - 9246 T^{5} + 43907 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 53 T^{2} - 88 T^{3} + 1540 T^{4} - 3306 T^{5} + 47756 T^{6} - 76038 T^{7} + 814660 T^{8} - 1070696 T^{9} + 14831573 T^{10} + 12872686 T^{11} + 148035889 T^{12} \))(\( 1 + 30 T^{2} + 767 T^{4} + 11492 T^{6} + 405743 T^{8} + 8395230 T^{10} + 148035889 T^{12} \))(\( 1 + 30 T^{2} + 767 T^{4} + 11492 T^{6} + 405743 T^{8} + 8395230 T^{10} + 148035889 T^{12} \))(\( 1 + 2 T + 53 T^{2} - 88 T^{3} + 1540 T^{4} - 3306 T^{5} + 47756 T^{6} - 76038 T^{7} + 814660 T^{8} - 1070696 T^{9} + 14831573 T^{10} + 12872686 T^{11} + 148035889 T^{12} \))(\( 1 + 16 T + 224 T^{2} + 2234 T^{3} + 19567 T^{4} + 141712 T^{5} + 926670 T^{6} + 5230592 T^{7} + 26816927 T^{8} + 120303616 T^{9} + 490208430 T^{10} + 1724209904 T^{11} + 5475648847 T^{12} + 14378790262 T^{13} + 33160039136 T^{14} + 54477207152 T^{15} + 78310985281 T^{16} \))(\( 1 + 123 T^{2} + 7385 T^{4} + 286533 T^{6} + 7800604 T^{8} + 151575957 T^{10} + 2066625785 T^{12} + 18208414347 T^{14} + 78310985281 T^{16} \))(\( 1 + 123 T^{2} + 7385 T^{4} + 286533 T^{6} + 7800604 T^{8} + 151575957 T^{10} + 2066625785 T^{12} + 18208414347 T^{14} + 78310985281 T^{16} \))(\( 1 + 16 T + 224 T^{2} + 2234 T^{3} + 19567 T^{4} + 141712 T^{5} + 926670 T^{6} + 5230592 T^{7} + 26816927 T^{8} + 120303616 T^{9} + 490208430 T^{10} + 1724209904 T^{11} + 5475648847 T^{12} + 14378790262 T^{13} + 33160039136 T^{14} + 54477207152 T^{15} + 78310985281 T^{16} \))(\( 1 + 124 T^{2} - 38 T^{3} + 8330 T^{4} - 3634 T^{5} + 381506 T^{6} - 180342 T^{7} + 12965000 T^{8} - 5936040 T^{9} + 338330610 T^{10} - 136528920 T^{11} + 6858485000 T^{12} - 2194221114 T^{13} + 106761020546 T^{14} - 23389670462 T^{15} + 1233138955370 T^{16} - 129383366986 T^{17} + 9710562174844 T^{18} + 41426511213649 T^{20} \))(\( 1 + 124 T^{2} - 38 T^{3} + 8330 T^{4} - 3634 T^{5} + 381506 T^{6} - 180342 T^{7} + 12965000 T^{8} - 5936040 T^{9} + 338330610 T^{10} - 136528920 T^{11} + 6858485000 T^{12} - 2194221114 T^{13} + 106761020546 T^{14} - 23389670462 T^{15} + 1233138955370 T^{16} - 129383366986 T^{17} + 9710562174844 T^{18} + 41426511213649 T^{20} \))(\( 1 + 168 T^{2} + 13726 T^{4} + 723160 T^{6} + 27775475 T^{8} + 839711408 T^{10} + 21022991420 T^{12} + 444207334832 T^{14} + 7772716699475 T^{16} + 107053633489240 T^{18} + 1074896583967006 T^{20} + 6959653883893032 T^{22} + 21914624432020321 T^{24} \))(\( 1 + 168 T^{2} + 13726 T^{4} + 723160 T^{6} + 27775475 T^{8} + 839711408 T^{10} + 21022991420 T^{12} + 444207334832 T^{14} + 7772716699475 T^{16} + 107053633489240 T^{18} + 1074896583967006 T^{20} + 6959653883893032 T^{22} + 21914624432020321 T^{24} \))(\( 1 + 141 T^{2} + 10058 T^{4} + 508504 T^{6} + 20887458 T^{8} + 735324351 T^{10} + 22617452235 T^{12} + 614206741660 T^{14} + 14898756254016 T^{16} + 324915366338140 T^{18} + 6329290450894635 T^{20} + 108854394003633039 T^{22} + 1635717415995505698 T^{24} + 21065546658185371096 T^{26} + \)\(22\!\cdots\!18\)\( T^{28} + \)\(16\!\cdots\!69\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 141 T^{2} + 10058 T^{4} + 508504 T^{6} + 20887458 T^{8} + 735324351 T^{10} + 22617452235 T^{12} + 614206741660 T^{14} + 14898756254016 T^{16} + 324915366338140 T^{18} + 6329290450894635 T^{20} + 108854394003633039 T^{22} + 1635717415995505698 T^{24} + 21065546658185371096 T^{26} + \)\(22\!\cdots\!18\)\( T^{28} + \)\(16\!\cdots\!69\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 + 4 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 7 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 7 T + 69 T^{2} + 203 T^{3} + 841 T^{4} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( 1 + 8 T + 69 T^{2} + 232 T^{3} + 841 T^{4} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( 1 + 6 T + 64 T^{2} + 174 T^{3} + 841 T^{4} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( 1 - 4 T + 57 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 13 T^{2} + 841 T^{4} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( 1 + 13 T + 97 T^{2} + 377 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 49 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + T + 20 T^{2} + 29 T^{3} + 841 T^{4} \))(\( 1 - 2 T - 25 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( 1 - 8 T + 54 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 5 T + 29 T^{2} )^{2} \))(\( 1 + 4 T + 57 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 + 13 T^{2} + 841 T^{4} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( 1 + 4 T + 49 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 13 T + 97 T^{2} - 377 T^{3} + 841 T^{4} \))(\( 1 - T + 20 T^{2} - 29 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 6 T + 64 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 69 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 - 7 T + 69 T^{2} - 203 T^{3} + 841 T^{4} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( 1 + 47 T^{2} - 64 T^{3} + 1363 T^{4} + 24389 T^{6} \))(\( 1 + 7 T + 99 T^{2} + 408 T^{3} + 2871 T^{4} + 5887 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 702 T^{3} + 3480 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 7 T + 99 T^{2} - 408 T^{3} + 2871 T^{4} - 5887 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 60 T^{2} + 138 T^{3} + 1740 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 + 47 T^{2} + 64 T^{3} + 1363 T^{4} + 24389 T^{6} \))(\( 1 + 14 T + 164 T^{2} + 1238 T^{3} + 7756 T^{4} + 35902 T^{5} + 137924 T^{6} + 341446 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 20 T^{2} + 126 T^{3} + 1404 T^{4} + 3654 T^{5} + 16820 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 3 T + 62 T^{2} + 261 T^{3} + 2319 T^{4} + 7569 T^{5} + 52142 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( 1 + 37 T^{2} + 493 T^{4} + 31117 T^{6} + 707281 T^{8} \))(\( 1 + 56 T^{2} + 2242 T^{4} + 47096 T^{6} + 707281 T^{8} \))(\( 1 + 56 T^{2} + 2242 T^{4} + 47096 T^{6} + 707281 T^{8} \))(\( 1 + 37 T^{2} + 493 T^{4} + 31117 T^{6} + 707281 T^{8} \))(\( 1 - 14 T + 164 T^{2} - 1238 T^{3} + 7756 T^{4} - 35902 T^{5} + 137924 T^{6} - 341446 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 20 T^{2} - 126 T^{3} + 1404 T^{4} - 3654 T^{5} + 16820 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 - 3 T + 62 T^{2} - 261 T^{3} + 2319 T^{4} - 7569 T^{5} + 52142 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( 1 + 12 T + 202 T^{2} + 1648 T^{3} + 15591 T^{4} + 93140 T^{5} + 613773 T^{6} + 2701060 T^{7} + 13112031 T^{8} + 40193072 T^{9} + 142870762 T^{10} + 246133788 T^{11} + 594823321 T^{12} \))(\( 1 + 52 T^{2} + 2892 T^{4} + 86614 T^{6} + 2432172 T^{8} + 36778612 T^{10} + 594823321 T^{12} \))(\( 1 + 52 T^{2} + 2892 T^{4} + 86614 T^{6} + 2432172 T^{8} + 36778612 T^{10} + 594823321 T^{12} \))(\( 1 - 12 T + 202 T^{2} - 1648 T^{3} + 15591 T^{4} - 93140 T^{5} + 613773 T^{6} - 2701060 T^{7} + 13112031 T^{8} - 40193072 T^{9} + 142870762 T^{10} - 246133788 T^{11} + 594823321 T^{12} \))(\( 1 + 9 T + 187 T^{2} + 1382 T^{3} + 16028 T^{4} + 97473 T^{5} + 828470 T^{6} + 4208558 T^{7} + 28798593 T^{8} + 122048182 T^{9} + 696743270 T^{10} + 2377268997 T^{11} + 11336299868 T^{12} + 28346407918 T^{13} + 111231961027 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 + 124 T^{2} + 8239 T^{4} + 369484 T^{6} + 12310960 T^{8} + 310736044 T^{10} + 5827288159 T^{12} + 73758091804 T^{14} + 500246412961 T^{16} \))(\( 1 + 124 T^{2} + 8239 T^{4} + 369484 T^{6} + 12310960 T^{8} + 310736044 T^{10} + 5827288159 T^{12} + 73758091804 T^{14} + 500246412961 T^{16} \))(\( 1 - 9 T + 187 T^{2} - 1382 T^{3} + 16028 T^{4} - 97473 T^{5} + 828470 T^{6} - 4208558 T^{7} + 28798593 T^{8} - 122048182 T^{9} + 696743270 T^{10} - 2377268997 T^{11} + 11336299868 T^{12} - 28346407918 T^{13} + 111231961027 T^{14} - 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 + 14 T + 200 T^{2} + 1928 T^{3} + 18575 T^{4} + 144068 T^{5} + 1110481 T^{6} + 7337936 T^{7} + 48191364 T^{8} + 277661302 T^{9} + 1587859174 T^{10} + 8052177758 T^{11} + 40528937124 T^{12} + 178964921104 T^{13} + 785422112161 T^{14} + 2955000214132 T^{15} + 11048843187575 T^{16} + 33257761523752 T^{17} + 100049282592200 T^{18} + 203100043662166 T^{19} + 420707233300201 T^{20} \))(\( 1 - 14 T + 200 T^{2} - 1928 T^{3} + 18575 T^{4} - 144068 T^{5} + 1110481 T^{6} - 7337936 T^{7} + 48191364 T^{8} - 277661302 T^{9} + 1587859174 T^{10} - 8052177758 T^{11} + 40528937124 T^{12} - 178964921104 T^{13} + 785422112161 T^{14} - 2955000214132 T^{15} + 11048843187575 T^{16} - 33257761523752 T^{17} + 100049282592200 T^{18} - 203100043662166 T^{19} + 420707233300201 T^{20} \))(\( 1 + 158 T^{2} + 12523 T^{4} + 676610 T^{6} + 28938587 T^{8} + 1051503368 T^{10} + 32911943606 T^{12} + 884314332488 T^{14} + 20467712751947 T^{16} + 402463407221810 T^{18} + 6264585829510603 T^{20} + 66471742861431758 T^{22} + 353814783205469041 T^{24} \))(\( 1 + 158 T^{2} + 12523 T^{4} + 676610 T^{6} + 28938587 T^{8} + 1051503368 T^{10} + 32911943606 T^{12} + 884314332488 T^{14} + 20467712751947 T^{16} + 402463407221810 T^{18} + 6264585829510603 T^{20} + 66471742861431758 T^{22} + 353814783205469041 T^{24} \))(\( 1 + 170 T^{2} + 11642 T^{4} + 378370 T^{6} + 3597338 T^{8} - 148553960 T^{10} - 5835168271 T^{12} - 93550702700 T^{14} - 1409800693980 T^{16} - 78676140970700 T^{18} - 4127103649881151 T^{20} - 88363359834901160 T^{22} + 1799555430708297818 T^{24} + \)\(15\!\cdots\!70\)\( T^{26} + \)\(41\!\cdots\!22\)\( T^{28} + \)\(50\!\cdots\!70\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 170 T^{2} + 11642 T^{4} + 378370 T^{6} + 3597338 T^{8} - 148553960 T^{10} - 5835168271 T^{12} - 93550702700 T^{14} - 1409800693980 T^{16} - 78676140970700 T^{18} - 4127103649881151 T^{20} - 88363359834901160 T^{22} + 1799555430708297818 T^{24} + \)\(15\!\cdots\!70\)\( T^{26} + \)\(41\!\cdots\!22\)\( T^{28} + \)\(50\!\cdots\!70\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 - 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 61 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 61 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 58 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - T + T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 78 T^{2} - 372 T^{3} + 961 T^{4} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( 1 + 16 T + 121 T^{2} + 496 T^{3} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 - T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 961 T^{4} \))(\( 1 + 2 T + 42 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 - 5 T + 37 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 - 5 T + 37 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 + 10 T + 82 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 66 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 78 T^{2} - 372 T^{3} + 961 T^{4} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( 1 + 16 T + 121 T^{2} + 496 T^{3} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 - T + 31 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 961 T^{4} \))(\( 1 - T + T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 58 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 61 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 61 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 13 T + 143 T^{2} + 864 T^{3} + 4433 T^{4} + 12493 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 65 T^{2} + 132 T^{3} + 2015 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 6 T + 57 T^{2} + 404 T^{3} + 1767 T^{4} + 5766 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 65 T^{2} + 132 T^{3} + 2015 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 17 T^{2} - 132 T^{3} + 527 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 13 T + 143 T^{2} + 864 T^{3} + 4433 T^{4} + 12493 T^{5} + 29791 T^{6} \))(\( 1 + 108 T^{2} - 24 T^{3} + 4766 T^{4} - 744 T^{5} + 103788 T^{6} + 923521 T^{8} \))(\( 1 + 28 T^{2} - 216 T^{3} + 606 T^{4} - 6696 T^{5} + 26908 T^{6} + 923521 T^{8} \))(\( 1 + 3 T + 100 T^{2} + 299 T^{3} + 4283 T^{4} + 9269 T^{5} + 96100 T^{6} + 89373 T^{7} + 923521 T^{8} \))(\( 1 + 18 T + 192 T^{2} + 1362 T^{3} + 8238 T^{4} + 42222 T^{5} + 184512 T^{6} + 536238 T^{7} + 923521 T^{8} \))(\( ( 1 + 4 T + 10 T^{2} + 124 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 4 T + 10 T^{2} + 124 T^{3} + 961 T^{4} )^{2} \))(\( 1 + 18 T + 192 T^{2} + 1362 T^{3} + 8238 T^{4} + 42222 T^{5} + 184512 T^{6} + 536238 T^{7} + 923521 T^{8} \))(\( 1 + 108 T^{2} - 24 T^{3} + 4766 T^{4} - 744 T^{5} + 103788 T^{6} + 923521 T^{8} \))(\( 1 + 28 T^{2} - 216 T^{3} + 606 T^{4} - 6696 T^{5} + 26908 T^{6} + 923521 T^{8} \))(\( 1 + 3 T + 100 T^{2} + 299 T^{3} + 4283 T^{4} + 9269 T^{5} + 96100 T^{6} + 89373 T^{7} + 923521 T^{8} \))(\( 1 + 2 T + 68 T^{2} + 28 T^{3} + 3104 T^{4} + 2730 T^{5} + 128070 T^{6} + 84630 T^{7} + 2982944 T^{8} + 834148 T^{9} + 62799428 T^{10} + 57258302 T^{11} + 887503681 T^{12} \))(\( ( 1 - 2 T + 17 T^{2} + 180 T^{3} + 527 T^{4} - 1922 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} + 180 T^{3} + 527 T^{4} - 1922 T^{5} + 29791 T^{6} )^{2} \))(\( 1 + 2 T + 68 T^{2} + 28 T^{3} + 3104 T^{4} + 2730 T^{5} + 128070 T^{6} + 84630 T^{7} + 2982944 T^{8} + 834148 T^{9} + 62799428 T^{10} + 57258302 T^{11} + 887503681 T^{12} \))(\( 1 - 9 T + 142 T^{2} - 963 T^{3} + 9327 T^{4} - 55589 T^{5} + 439146 T^{6} - 2365595 T^{7} + 15862880 T^{8} - 73333445 T^{9} + 422019306 T^{10} - 1656051899 T^{11} + 8613680367 T^{12} - 27569872413 T^{13} + 126025522702 T^{14} - 247613526999 T^{15} + 852891037441 T^{16} \))(\( ( 1 + 3 T + 88 T^{2} + 206 T^{3} + 3815 T^{4} + 6386 T^{5} + 84568 T^{6} + 89373 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 3 T + 88 T^{2} + 206 T^{3} + 3815 T^{4} + 6386 T^{5} + 84568 T^{6} + 89373 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 9 T + 142 T^{2} - 963 T^{3} + 9327 T^{4} - 55589 T^{5} + 439146 T^{6} - 2365595 T^{7} + 15862880 T^{8} - 73333445 T^{9} + 422019306 T^{10} - 1656051899 T^{11} + 8613680367 T^{12} - 27569872413 T^{13} + 126025522702 T^{14} - 247613526999 T^{15} + 852891037441 T^{16} \))(\( 1 - 26 T + 482 T^{2} - 6400 T^{3} + 71453 T^{4} - 670846 T^{5} + 5624329 T^{6} - 41976980 T^{7} + 287918626 T^{8} - 1800633596 T^{9} + 10465823578 T^{10} - 55819641476 T^{11} + 276689799586 T^{12} - 1250536211180 T^{13} + 5194185942409 T^{14} - 19205751431746 T^{15} + 63414800518493 T^{16} - 176080730310400 T^{17} + 411093480046562 T^{18} - 687430176177446 T^{19} + 819628286980801 T^{20} \))(\( 1 - 26 T + 482 T^{2} - 6400 T^{3} + 71453 T^{4} - 670846 T^{5} + 5624329 T^{6} - 41976980 T^{7} + 287918626 T^{8} - 1800633596 T^{9} + 10465823578 T^{10} - 55819641476 T^{11} + 276689799586 T^{12} - 1250536211180 T^{13} + 5194185942409 T^{14} - 19205751431746 T^{15} + 63414800518493 T^{16} - 176080730310400 T^{17} + 411093480046562 T^{18} - 687430176177446 T^{19} + 819628286980801 T^{20} \))(\( ( 1 + 8 T + 110 T^{2} + 688 T^{3} + 4823 T^{4} + 26760 T^{5} + 147540 T^{6} + 829560 T^{7} + 4634903 T^{8} + 20496208 T^{9} + 101587310 T^{10} + 229033208 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 + 8 T + 110 T^{2} + 688 T^{3} + 4823 T^{4} + 26760 T^{5} + 147540 T^{6} + 829560 T^{7} + 4634903 T^{8} + 20496208 T^{9} + 101587310 T^{10} + 229033208 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 - 15 T + 214 T^{2} - 1830 T^{3} + 15705 T^{4} - 104570 T^{5} + 751866 T^{6} - 4460195 T^{7} + 27640604 T^{8} - 138266045 T^{9} + 722543226 T^{10} - 3115244870 T^{11} + 14503897305 T^{12} - 52391346330 T^{13} + 189925787734 T^{14} - 412689211665 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 15 T + 214 T^{2} - 1830 T^{3} + 15705 T^{4} - 104570 T^{5} + 751866 T^{6} - 4460195 T^{7} + 27640604 T^{8} - 138266045 T^{9} + 722543226 T^{10} - 3115244870 T^{11} + 14503897305 T^{12} - 52391346330 T^{13} + 189925787734 T^{14} - 412689211665 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 4 T + 58 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 13 T + 85 T^{2} + 481 T^{3} + 1369 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 444 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 63 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( 1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 26 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 23 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 48 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( ( 1 - T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( 1 - 7 T + 85 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 85 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( ( 1 + 7 T + 37 T^{2} )^{2} \))(\( 1 - 6 T + 63 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( 1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 23 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 26 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 48 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 13 T + 85 T^{2} + 481 T^{3} + 1369 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 444 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 58 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 17 T + 183 T^{2} + 1274 T^{3} + 6771 T^{4} + 23273 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 107 T^{2} + 214 T^{3} + 3959 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 + 36 T^{2} - 246 T^{3} + 1332 T^{4} + 50653 T^{6} \))(\( 1 + 3 T + 107 T^{2} + 214 T^{3} + 3959 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 + 68 T^{2} + 106 T^{3} + 2516 T^{4} + 50653 T^{6} \))(\( 1 + 17 T + 183 T^{2} + 1274 T^{3} + 6771 T^{4} + 23273 T^{5} + 50653 T^{6} \))(\( 1 + 12 T + 168 T^{2} + 1284 T^{3} + 9650 T^{4} + 47508 T^{5} + 229992 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 72 T^{2} + 284 T^{3} + 4082 T^{4} + 10508 T^{5} + 98568 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 + 7 T + 154 T^{2} + 767 T^{3} + 8653 T^{4} + 28379 T^{5} + 210826 T^{6} + 354571 T^{7} + 1874161 T^{8} \))(\( 1 + 2 T + 71 T^{2} + 4 T^{3} + 2797 T^{4} + 148 T^{5} + 97199 T^{6} + 101306 T^{7} + 1874161 T^{8} \))(\( ( 1 + 8 T + 34 T^{2} + 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 8 T + 34 T^{2} + 296 T^{3} + 1369 T^{4} )^{2} \))(\( 1 + 2 T + 71 T^{2} + 4 T^{3} + 2797 T^{4} + 148 T^{5} + 97199 T^{6} + 101306 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 168 T^{2} + 1284 T^{3} + 9650 T^{4} + 47508 T^{5} + 229992 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 72 T^{2} + 284 T^{3} + 4082 T^{4} + 10508 T^{5} + 98568 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 + 7 T + 154 T^{2} + 767 T^{3} + 8653 T^{4} + 28379 T^{5} + 210826 T^{6} + 354571 T^{7} + 1874161 T^{8} \))(\( 1 - 14 T + 187 T^{2} - 1538 T^{3} + 11951 T^{4} - 73832 T^{5} + 476570 T^{6} - 2731784 T^{7} + 16360919 T^{8} - 77904314 T^{9} + 350468107 T^{10} - 970815398 T^{11} + 2565726409 T^{12} \))(\( ( 1 - 4 T + 96 T^{2} - 262 T^{3} + 3552 T^{4} - 5476 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 4 T + 96 T^{2} - 262 T^{3} + 3552 T^{4} - 5476 T^{5} + 50653 T^{6} )^{2} \))(\( 1 - 14 T + 187 T^{2} - 1538 T^{3} + 11951 T^{4} - 73832 T^{5} + 476570 T^{6} - 2731784 T^{7} + 16360919 T^{8} - 77904314 T^{9} + 350468107 T^{10} - 970815398 T^{11} + 2565726409 T^{12} \))(\( 1 - 7 T + 231 T^{2} - 1552 T^{3} + 24962 T^{4} - 154999 T^{5} + 1656240 T^{6} - 9060906 T^{7} + 73868707 T^{8} - 335253522 T^{9} + 2267392560 T^{10} - 7851164347 T^{11} + 46782806882 T^{12} - 107621821264 T^{13} + 592682800479 T^{14} - 664523139931 T^{15} + 3512479453921 T^{16} \))(\( ( 1 + 19 T + 265 T^{2} + 2345 T^{3} + 16888 T^{4} + 86765 T^{5} + 362785 T^{6} + 962407 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 19 T + 265 T^{2} + 2345 T^{3} + 16888 T^{4} + 86765 T^{5} + 362785 T^{6} + 962407 T^{7} + 1874161 T^{8} )^{2} \))(\( 1 - 7 T + 231 T^{2} - 1552 T^{3} + 24962 T^{4} - 154999 T^{5} + 1656240 T^{6} - 9060906 T^{7} + 73868707 T^{8} - 335253522 T^{9} + 2267392560 T^{10} - 7851164347 T^{11} + 46782806882 T^{12} - 107621821264 T^{13} + 592682800479 T^{14} - 664523139931 T^{15} + 3512479453921 T^{16} \))(\( 1 - 24 T + 440 T^{2} - 5840 T^{3} + 65456 T^{4} - 634664 T^{5} + 5522032 T^{6} - 43933344 T^{7} + 323265704 T^{8} - 2198445368 T^{9} + 13921174566 T^{10} - 81342478616 T^{11} + 442550748776 T^{12} - 2225355673632 T^{13} + 10349177015152 T^{14} - 44010113125448 T^{15} + 167942187827504 T^{16} - 554402162456720 T^{17} + 1545490959725240 T^{18} - 3119081755081848 T^{19} + 4808584372417849 T^{20} \))(\( 1 - 24 T + 440 T^{2} - 5840 T^{3} + 65456 T^{4} - 634664 T^{5} + 5522032 T^{6} - 43933344 T^{7} + 323265704 T^{8} - 2198445368 T^{9} + 13921174566 T^{10} - 81342478616 T^{11} + 442550748776 T^{12} - 2225355673632 T^{13} + 10349177015152 T^{14} - 44010113125448 T^{15} + 167942187827504 T^{16} - 554402162456720 T^{17} + 1545490959725240 T^{18} - 3119081755081848 T^{19} + 4808584372417849 T^{20} \))(\( ( 1 - 2 T + 91 T^{2} - 314 T^{3} + 5891 T^{4} - 17852 T^{5} + 259334 T^{6} - 660524 T^{7} + 8064779 T^{8} - 15905042 T^{9} + 170548651 T^{10} - 138687914 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 2 T + 91 T^{2} - 314 T^{3} + 5891 T^{4} - 17852 T^{5} + 259334 T^{6} - 660524 T^{7} + 8064779 T^{8} - 15905042 T^{9} + 170548651 T^{10} - 138687914 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 19 T + 294 T^{2} - 3256 T^{3} + 31994 T^{4} - 263281 T^{5} + 1993923 T^{6} - 13472988 T^{7} + 86070388 T^{8} - 498500556 T^{9} + 2729680587 T^{10} - 13335972493 T^{11} + 59961907034 T^{12} - 225783923992 T^{13} + 754323564246 T^{14} - 1803705665527 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 19 T + 294 T^{2} - 3256 T^{3} + 31994 T^{4} - 263281 T^{5} + 1993923 T^{6} - 13472988 T^{7} + 86070388 T^{8} - 498500556 T^{9} + 2729680587 T^{10} - 13335972493 T^{11} + 59961907034 T^{12} - 225783923992 T^{13} + 754323564246 T^{14} - 1803705665527 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 43 T^{2} + 1681 T^{4} \))(\( 1 + 5 T + 57 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 + 62 T^{2} + 1681 T^{4} \))(\( 1 + 15 T + 127 T^{2} + 615 T^{3} + 1681 T^{4} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( 1 - 4 T + 66 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 + 13 T + 113 T^{2} + 533 T^{3} + 1681 T^{4} \))(\( 1 - T + 51 T^{2} - 41 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( ( 1 + 7 T + 41 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 1681 T^{4} \))(\( 1 - 11 T + 108 T^{2} - 451 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 2 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 + 30 T^{2} + 1681 T^{4} \))(\( 1 + 30 T^{2} + 1681 T^{4} \))(\( 1 - 26 T^{2} + 1681 T^{4} \))(\( 1 - 17 T + 153 T^{2} - 697 T^{3} + 1681 T^{4} \))(\( 1 + 17 T + 153 T^{2} + 697 T^{3} + 1681 T^{4} \))(\( 1 + 18 T + 158 T^{2} + 738 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 66 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 66 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 13 T + 113 T^{2} - 533 T^{3} + 1681 T^{4} \))(\( 1 + T + 51 T^{2} + 41 T^{3} + 1681 T^{4} \))(\( 1 - 12 T + 98 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 30 T^{2} + 1681 T^{4} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( 1 + 11 T + 108 T^{2} + 451 T^{3} + 1681 T^{4} \))(\( 1 - 15 T + 127 T^{2} - 615 T^{3} + 1681 T^{4} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( 1 + 62 T^{2} + 1681 T^{4} \))(\( 1 - 43 T^{2} + 1681 T^{4} \))(\( 1 - 5 T + 57 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 + 16 T + 189 T^{2} + 1392 T^{3} + 7749 T^{4} + 26896 T^{5} + 68921 T^{6} \))(\( 1 + 13 T + 163 T^{2} + 1098 T^{3} + 6683 T^{4} + 21853 T^{5} + 68921 T^{6} \))(\( 1 - 6 T + 51 T^{2} - 460 T^{3} + 2091 T^{4} - 10086 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 163 T^{2} - 1098 T^{3} + 6683 T^{4} - 21853 T^{5} + 68921 T^{6} \))(\( 1 - 14 T + 163 T^{2} - 1116 T^{3} + 6683 T^{4} - 23534 T^{5} + 68921 T^{6} \))(\( 1 - 16 T + 189 T^{2} - 1392 T^{3} + 7749 T^{4} - 26896 T^{5} + 68921 T^{6} \))(\( 1 + 16 T + 196 T^{2} + 1712 T^{3} + 11994 T^{4} + 70192 T^{5} + 329476 T^{6} + 1102736 T^{7} + 2825761 T^{8} \))(\( 1 + 124 T^{2} - 48 T^{3} + 6810 T^{4} - 1968 T^{5} + 208444 T^{6} + 2825761 T^{8} \))(\( 1 + 4 T + 107 T^{2} + 470 T^{3} + 5491 T^{4} + 19270 T^{5} + 179867 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 10 T + 60 T^{2} - 290 T^{3} - 2938 T^{4} - 11890 T^{5} + 100860 T^{6} + 689210 T^{7} + 2825761 T^{8} \))(\( ( 1 + 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 1681 T^{4} )^{2} \))(\( 1 - 10 T + 60 T^{2} + 290 T^{3} - 2938 T^{4} + 11890 T^{5} + 100860 T^{6} - 689210 T^{7} + 2825761 T^{8} \))(\( 1 - 16 T + 196 T^{2} - 1712 T^{3} + 11994 T^{4} - 70192 T^{5} + 329476 T^{6} - 1102736 T^{7} + 2825761 T^{8} \))(\( 1 + 124 T^{2} + 48 T^{3} + 6810 T^{4} + 1968 T^{5} + 208444 T^{6} + 2825761 T^{8} \))(\( 1 - 4 T + 107 T^{2} - 470 T^{3} + 5491 T^{4} - 19270 T^{5} + 179867 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 26 T + 493 T^{2} + 6330 T^{3} + 66918 T^{4} + 558026 T^{5} + 3963849 T^{6} + 22879066 T^{7} + 112489158 T^{8} + 436269930 T^{9} + 1393100173 T^{10} + 3012261226 T^{11} + 4750104241 T^{12} \))(\( 1 + 74 T^{2} + 4479 T^{4} + 233228 T^{6} + 7529199 T^{8} + 209106314 T^{10} + 4750104241 T^{12} \))(\( 1 + 74 T^{2} + 4479 T^{4} + 233228 T^{6} + 7529199 T^{8} + 209106314 T^{10} + 4750104241 T^{12} \))(\( 1 - 26 T + 493 T^{2} - 6330 T^{3} + 66918 T^{4} - 558026 T^{5} + 3963849 T^{6} - 22879066 T^{7} + 112489158 T^{8} - 436269930 T^{9} + 1393100173 T^{10} - 3012261226 T^{11} + 4750104241 T^{12} \))(\( 1 - 10 T + 261 T^{2} - 2176 T^{3} + 30891 T^{4} - 221954 T^{5} + 2245611 T^{6} - 13854084 T^{7} + 110613464 T^{8} - 568017444 T^{9} + 3774872091 T^{10} - 15297291634 T^{11} + 87290583051 T^{12} - 252103093376 T^{13} + 1239777206901 T^{14} - 1947542738810 T^{15} + 7984925229121 T^{16} \))(\( 1 + 180 T^{2} + 15989 T^{4} + 970340 T^{6} + 44973021 T^{8} + 1631141540 T^{10} + 45181092629 T^{12} + 855018763380 T^{14} + 7984925229121 T^{16} \))(\( 1 + 180 T^{2} + 15989 T^{4} + 970340 T^{6} + 44973021 T^{8} + 1631141540 T^{10} + 45181092629 T^{12} + 855018763380 T^{14} + 7984925229121 T^{16} \))(\( 1 + 10 T + 261 T^{2} + 2176 T^{3} + 30891 T^{4} + 221954 T^{5} + 2245611 T^{6} + 13854084 T^{7} + 110613464 T^{8} + 568017444 T^{9} + 3774872091 T^{10} + 15297291634 T^{11} + 87290583051 T^{12} + 252103093376 T^{13} + 1239777206901 T^{14} + 1947542738810 T^{15} + 7984925229121 T^{16} \))(\( 1 - 19 T + 484 T^{2} - 6388 T^{3} + 94475 T^{4} - 963532 T^{5} + 10457893 T^{6} - 86623352 T^{7} + 748989936 T^{8} - 5154844493 T^{9} + 36776727094 T^{10} - 211348624213 T^{11} + 1259052082416 T^{12} - 5970168043192 T^{13} + 29551506181573 T^{14} - 111631157061932 T^{15} + 448766098168475 T^{16} - 1244090301551828 T^{17} + 3864703810894564 T^{18} - 6220256753485259 T^{19} + 13422659310152401 T^{20} \))(\( 1 + 19 T + 484 T^{2} + 6388 T^{3} + 94475 T^{4} + 963532 T^{5} + 10457893 T^{6} + 86623352 T^{7} + 748989936 T^{8} + 5154844493 T^{9} + 36776727094 T^{10} + 211348624213 T^{11} + 1259052082416 T^{12} + 5970168043192 T^{13} + 29551506181573 T^{14} + 111631157061932 T^{15} + 448766098168475 T^{16} + 1244090301551828 T^{17} + 3864703810894564 T^{18} + 6220256753485259 T^{19} + 13422659310152401 T^{20} \))(\( 1 + 178 T^{2} + 13639 T^{4} + 560026 T^{6} + 12799187 T^{8} + 170859508 T^{10} + 2999880794 T^{12} + 287214832948 T^{14} + 36167443456307 T^{16} + 2660181877670266 T^{18} + 108906395199981319 T^{20} + 2389233357207127378 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 178 T^{2} + 13639 T^{4} + 560026 T^{6} + 12799187 T^{8} + 170859508 T^{10} + 2999880794 T^{12} + 287214832948 T^{14} + 36167443456307 T^{16} + 2660181877670266 T^{18} + 108906395199981319 T^{20} + 2389233357207127378 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 284 T^{2} + 40621 T^{4} + 3925468 T^{6} + 292611087 T^{8} + 18270233504 T^{10} + 1002225656887 T^{12} + 49066240684968 T^{14} + 2136999595406616 T^{16} + 82480350591431208 T^{18} + 2832050174430666007 T^{20} + 86785513651410690464 T^{22} + \)\(23\!\cdots\!27\)\( T^{24} + \)\(52\!\cdots\!68\)\( T^{26} + \)\(91\!\cdots\!01\)\( T^{28} + \)\(10\!\cdots\!24\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 284 T^{2} + 40621 T^{4} + 3925468 T^{6} + 292611087 T^{8} + 18270233504 T^{10} + 1002225656887 T^{12} + 49066240684968 T^{14} + 2136999595406616 T^{16} + 82480350591431208 T^{18} + 2832050174430666007 T^{20} + 86785513651410690464 T^{22} + \)\(23\!\cdots\!27\)\( T^{24} + \)\(52\!\cdots\!68\)\( T^{26} + \)\(91\!\cdots\!01\)\( T^{28} + \)\(10\!\cdots\!24\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 + T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 - 9 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 + 9 T + 43 T^{2} \))(\( 1 - 5 T - 9 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( ( 1 + 9 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( 1 + 2 T + 82 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 83 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 82 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 - 14 T + 115 T^{2} - 602 T^{3} + 1849 T^{4} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( 1 - 4 T + 10 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 95 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - T + 48 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 6 T + 74 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( ( 1 + 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( 1 + 6 T + 50 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 - 6 T + 50 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 2 T + 42 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 82 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 + 14 T + 115 T^{2} + 602 T^{3} + 1849 T^{4} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( 1 + 4 T + 10 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 7 T + 95 T^{2} + 301 T^{3} + 1849 T^{4} \))(\( 1 + T + 48 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 82 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 - 6 T + 83 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( 1 + 5 T - 9 T^{2} + 215 T^{3} + 1849 T^{4} \))(\( ( 1 - 9 T + 43 T^{2} )^{2} \))(\( 1 - 4 T + 101 T^{2} - 312 T^{3} + 4343 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 - 8 T + 58 T^{2} - 266 T^{3} + 2494 T^{4} - 14792 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 117 T^{2} + 468 T^{3} + 5031 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 + 8 T + 58 T^{2} + 266 T^{3} + 2494 T^{4} + 14792 T^{5} + 79507 T^{6} \))(\( 1 - 14 T + 85 T^{2} - 356 T^{3} + 3655 T^{4} - 25886 T^{5} + 79507 T^{6} \))(\( 1 + 4 T + 101 T^{2} + 312 T^{3} + 4343 T^{4} + 7396 T^{5} + 79507 T^{6} \))(\( 1 - 20 T + 306 T^{2} - 2920 T^{3} + 22895 T^{4} - 125560 T^{5} + 565794 T^{6} - 1590140 T^{7} + 3418801 T^{8} \))(\( 1 - 20 T + 282 T^{2} - 2632 T^{3} + 19943 T^{4} - 113176 T^{5} + 521418 T^{6} - 1590140 T^{7} + 3418801 T^{8} \))(\( ( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( 1 + 4 T + 69 T^{2} + 392 T^{3} + 4097 T^{4} + 16856 T^{5} + 127581 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( ( 1 - T + 43 T^{2} )^{4} \))(\( ( 1 + T + 43 T^{2} )^{4} \))(\( 1 - 4 T + 69 T^{2} - 392 T^{3} + 4097 T^{4} - 16856 T^{5} + 127581 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 20 T + 306 T^{2} + 2920 T^{3} + 22895 T^{4} + 125560 T^{5} + 565794 T^{6} + 1590140 T^{7} + 3418801 T^{8} \))(\( 1 + 20 T + 282 T^{2} + 2632 T^{3} + 19943 T^{4} + 113176 T^{5} + 521418 T^{6} + 1590140 T^{7} + 3418801 T^{8} \))(\( ( 1 + 4 T + 45 T^{2} + 172 T^{3} + 1849 T^{4} )^{2} \))(\( 1 + 4 T + 137 T^{2} + 608 T^{3} + 8804 T^{4} + 41340 T^{5} + 407244 T^{6} + 1777620 T^{7} + 16278596 T^{8} + 48340256 T^{9} + 468375737 T^{10} + 588033772 T^{11} + 6321363049 T^{12} \))(\( ( 1 + 10 T + 125 T^{2} + 828 T^{3} + 5375 T^{4} + 18490 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 10 T + 125 T^{2} - 828 T^{3} + 5375 T^{4} - 18490 T^{5} + 79507 T^{6} )^{2} \))(\( 1 - 4 T + 137 T^{2} - 608 T^{3} + 8804 T^{4} - 41340 T^{5} + 407244 T^{6} - 1777620 T^{7} + 16278596 T^{8} - 48340256 T^{9} + 468375737 T^{10} - 588033772 T^{11} + 6321363049 T^{12} \))(\( 1 + 4 T + 239 T^{2} + 936 T^{3} + 27462 T^{4} + 98508 T^{5} + 2007760 T^{6} + 6271668 T^{7} + 102278657 T^{8} + 269681724 T^{9} + 3712348240 T^{10} + 7832075556 T^{11} + 93887113062 T^{12} + 137599902648 T^{13} + 1510805768711 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16} \))(\( ( 1 - 8 T + 97 T^{2} - 398 T^{3} + 4048 T^{4} - 17114 T^{5} + 179353 T^{6} - 636056 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} + 398 T^{3} + 4048 T^{4} + 17114 T^{5} + 179353 T^{6} + 636056 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 - 4 T + 239 T^{2} - 936 T^{3} + 27462 T^{4} - 98508 T^{5} + 2007760 T^{6} - 6271668 T^{7} + 102278657 T^{8} - 269681724 T^{9} + 3712348240 T^{10} - 7832075556 T^{11} + 93887113062 T^{12} - 137599902648 T^{13} + 1510805768711 T^{14} - 1087274444428 T^{15} + 11688200277601 T^{16} \))(\( 1 - 6 T + 312 T^{2} - 1828 T^{3} + 47319 T^{4} - 259736 T^{5} + 4576717 T^{6} - 22838020 T^{7} + 311402464 T^{8} - 1377461130 T^{9} + 15540959670 T^{10} - 59230828590 T^{11} + 575783155936 T^{12} - 1815782456140 T^{13} + 15646884656317 T^{14} - 38183384951048 T^{15} + 299120578115631 T^{16} - 496884421103596 T^{17} + 3646718486611512 T^{18} - 3015555671621058 T^{19} + 21611482313284249 T^{20} \))(\( 1 + 6 T + 312 T^{2} + 1828 T^{3} + 47319 T^{4} + 259736 T^{5} + 4576717 T^{6} + 22838020 T^{7} + 311402464 T^{8} + 1377461130 T^{9} + 15540959670 T^{10} + 59230828590 T^{11} + 575783155936 T^{12} + 1815782456140 T^{13} + 15646884656317 T^{14} + 38183384951048 T^{15} + 299120578115631 T^{16} + 496884421103596 T^{17} + 3646718486611512 T^{18} + 3015555671621058 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 8 T + 152 T^{2} + 1072 T^{3} + 11384 T^{4} + 75288 T^{5} + 582042 T^{6} + 3237384 T^{7} + 21049016 T^{8} + 85231504 T^{9} + 519657752 T^{10} + 1176067544 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 8 T + 152 T^{2} - 1072 T^{3} + 11384 T^{4} - 75288 T^{5} + 582042 T^{6} - 3237384 T^{7} + 21049016 T^{8} - 85231504 T^{9} + 519657752 T^{10} - 1176067544 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 + 8 T + 182 T^{2} + 714 T^{3} + 12126 T^{4} + 18648 T^{5} + 591955 T^{6} + 533592 T^{7} + 28125884 T^{8} + 22944456 T^{9} + 1094524795 T^{10} + 1482646536 T^{11} + 41456380926 T^{12} + 104964028302 T^{13} + 1150488074918 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 8 T + 182 T^{2} - 714 T^{3} + 12126 T^{4} - 18648 T^{5} + 591955 T^{6} - 533592 T^{7} + 28125884 T^{8} - 22944456 T^{9} + 1094524795 T^{10} - 1482646536 T^{11} + 41456380926 T^{12} - 104964028302 T^{13} + 1150488074918 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 13 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 11 T + 123 T^{2} - 517 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 83 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 93 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( 1 - 8 T + 83 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 10 T + 99 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 17 T + 155 T^{2} - 799 T^{3} + 2209 T^{4} \))(\( 1 + T + 33 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( ( 1 - 3 T + 47 T^{2} )^{2} \))(\( 1 + 7 T + 77 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 117 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 11 T + 120 T^{2} + 517 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 109 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 + 81 T^{2} + 2209 T^{4} \))(\( 1 + 81 T^{2} + 2209 T^{4} \))(\( 1 + 46 T^{2} + 2209 T^{4} \))(\( 1 + 74 T^{2} + 2209 T^{4} \))(\( 1 + 74 T^{2} + 2209 T^{4} \))(\( 1 + 10 T + 114 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 93 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + 10 T + 99 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 17 T + 155 T^{2} - 799 T^{3} + 2209 T^{4} \))(\( 1 + T + 33 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( ( 1 - 3 T + 47 T^{2} )^{2} \))(\( 1 + 12 T + 117 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 77 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 + 11 T + 120 T^{2} + 517 T^{3} + 2209 T^{4} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( 1 - 8 T + 83 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 93 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 11 T + 123 T^{2} - 517 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 83 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 127 T^{2} + 384 T^{3} + 5969 T^{4} + 8836 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 110 T^{2} - 530 T^{3} + 5170 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 24 T + 312 T^{2} - 2584 T^{3} + 14664 T^{4} - 53016 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 110 T^{2} - 530 T^{3} + 5170 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 + 80 T^{2} - 32 T^{3} + 3760 T^{4} + 103823 T^{6} \))(\( 1 + 4 T + 127 T^{2} + 384 T^{3} + 5969 T^{4} + 8836 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 88 T^{2} + 568 T^{3} + 4023 T^{4} + 26696 T^{5} + 194392 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 44 T^{2} - 504 T^{3} + 4371 T^{4} - 23688 T^{5} + 97196 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 14 T + 162 T^{2} - 1449 T^{3} + 10505 T^{4} - 68103 T^{5} + 357858 T^{6} - 1453522 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T + 108 T^{2} - 4 T^{3} + 4758 T^{4} - 188 T^{5} + 238572 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 158 T^{2} + 10435 T^{4} + 349022 T^{6} + 4879681 T^{8} \))(\( 1 + 158 T^{2} + 10435 T^{4} + 349022 T^{6} + 4879681 T^{8} \))(\( 1 + 4 T + 108 T^{2} - 4 T^{3} + 4758 T^{4} - 188 T^{5} + 238572 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 2 T + 88 T^{2} + 568 T^{3} + 4023 T^{4} + 26696 T^{5} + 194392 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 44 T^{2} - 504 T^{3} + 4371 T^{4} - 23688 T^{5} + 97196 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 14 T + 162 T^{2} - 1449 T^{3} + 10505 T^{4} - 68103 T^{5} + 357858 T^{6} - 1453522 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 255 T^{2} - 2338 T^{3} + 22256 T^{4} - 151482 T^{5} + 1182208 T^{6} - 7119654 T^{7} + 49163504 T^{8} - 242738174 T^{9} + 1244318655 T^{10} - 3669520112 T^{11} + 10779215329 T^{12} \))(\( 1 + 124 T^{2} + 11060 T^{4} + 591870 T^{6} + 24431540 T^{8} + 605080444 T^{10} + 10779215329 T^{12} \))(\( 1 + 124 T^{2} + 11060 T^{4} + 591870 T^{6} + 24431540 T^{8} + 605080444 T^{10} + 10779215329 T^{12} \))(\( 1 - 16 T + 255 T^{2} - 2338 T^{3} + 22256 T^{4} - 151482 T^{5} + 1182208 T^{6} - 7119654 T^{7} + 49163504 T^{8} - 242738174 T^{9} + 1244318655 T^{10} - 3669520112 T^{11} + 10779215329 T^{12} \))(\( 1 + 16 T + 320 T^{2} + 3319 T^{3} + 41705 T^{4} + 344729 T^{5} + 3361468 T^{6} + 23054530 T^{7} + 186100580 T^{8} + 1083562910 T^{9} + 7425482812 T^{10} + 35790798967 T^{11} + 203507096105 T^{12} + 761196078233 T^{13} + 3449348905280 T^{14} + 8105969927408 T^{15} + 23811286661761 T^{16} \))(\( 1 + 65 T^{2} + 5437 T^{4} + 231255 T^{6} + 12717668 T^{8} + 510842295 T^{10} + 26530825597 T^{12} + 700648996385 T^{14} + 23811286661761 T^{16} \))(\( 1 + 65 T^{2} + 5437 T^{4} + 231255 T^{6} + 12717668 T^{8} + 510842295 T^{10} + 26530825597 T^{12} + 700648996385 T^{14} + 23811286661761 T^{16} \))(\( 1 + 16 T + 320 T^{2} + 3319 T^{3} + 41705 T^{4} + 344729 T^{5} + 3361468 T^{6} + 23054530 T^{7} + 186100580 T^{8} + 1083562910 T^{9} + 7425482812 T^{10} + 35790798967 T^{11} + 203507096105 T^{12} + 761196078233 T^{13} + 3449348905280 T^{14} + 8105969927408 T^{15} + 23811286661761 T^{16} \))(\( 1 + 15 T + 333 T^{2} + 4161 T^{3} + 56109 T^{4} + 576028 T^{5} + 5980092 T^{6} + 51937604 T^{7} + 445599026 T^{8} + 3323250890 T^{9} + 24323199470 T^{10} + 156192791830 T^{11} + 984328248434 T^{12} + 5392317860092 T^{13} + 29180941310652 T^{14} + 132109145692196 T^{15} + 604810992894861 T^{16} + 2108058804246543 T^{17} + 7929158458366413 T^{18} + 16786957096541505 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 15 T + 333 T^{2} + 4161 T^{3} + 56109 T^{4} + 576028 T^{5} + 5980092 T^{6} + 51937604 T^{7} + 445599026 T^{8} + 3323250890 T^{9} + 24323199470 T^{10} + 156192791830 T^{11} + 984328248434 T^{12} + 5392317860092 T^{13} + 29180941310652 T^{14} + 132109145692196 T^{15} + 604810992894861 T^{16} + 2108058804246543 T^{17} + 7929158458366413 T^{18} + 16786957096541505 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 332 T^{2} + 57032 T^{4} + 6587500 T^{6} + 563615924 T^{8} + 37403435100 T^{10} + 1967941380078 T^{12} + 82624188135900 T^{14} + 2750265915640244 T^{16} + 71008080979787500 T^{18} + 1358005300893553352 T^{20} + 17462911902295576268 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 332 T^{2} + 57032 T^{4} + 6587500 T^{6} + 563615924 T^{8} + 37403435100 T^{10} + 1967941380078 T^{12} + 82624188135900 T^{14} + 2750265915640244 T^{16} + 71008080979787500 T^{18} + 1358005300893553352 T^{20} + 17462911902295576268 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 189 T^{2} + 16293 T^{4} + 1005791 T^{6} + 62126478 T^{8} + 3858063829 T^{10} + 216619715755 T^{12} + 11267038690895 T^{14} + 550848868000706 T^{16} + 24888888468187055 T^{18} + 1057035111195074155 T^{20} + 41586900765817234741 T^{22} + \)\(14\!\cdots\!58\)\( T^{24} + \)\(52\!\cdots\!59\)\( T^{26} + \)\(18\!\cdots\!13\)\( T^{28} + \)\(48\!\cdots\!41\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 189 T^{2} + 16293 T^{4} + 1005791 T^{6} + 62126478 T^{8} + 3858063829 T^{10} + 216619715755 T^{12} + 11267038690895 T^{14} + 550848868000706 T^{16} + 24888888468187055 T^{18} + 1057035111195074155 T^{20} + 41586900765817234741 T^{22} + \)\(14\!\cdots\!58\)\( T^{24} + \)\(52\!\cdots\!59\)\( T^{26} + \)\(18\!\cdots\!13\)\( T^{28} + \)\(48\!\cdots\!41\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 5 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 5 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 - 7 T + 117 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( 1 - 3 T + 77 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 - 20 T + 186 T^{2} - 1060 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 18 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 130 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 5 T + 11 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 13 T + 147 T^{2} + 689 T^{3} + 2809 T^{4} \))(\( 1 + 26 T^{2} + 2809 T^{4} \))(\( 1 - 15 T + 133 T^{2} - 795 T^{3} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 - 5 T + 6 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 - 10 T + 110 T^{2} - 530 T^{3} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 + 58 T^{2} + 2809 T^{4} \))(\( 1 + 18 T + 182 T^{2} + 954 T^{3} + 2809 T^{4} \))(\( 1 + 18 T + 182 T^{2} + 954 T^{3} + 2809 T^{4} \))(\( 1 + 8 T + 102 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 18 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 5 T + 11 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 13 T + 147 T^{2} + 689 T^{3} + 2809 T^{4} \))(\( 1 + 26 T^{2} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 - 15 T + 133 T^{2} - 795 T^{3} + 2809 T^{4} \))(\( 1 - 5 T + 6 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 18 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 130 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 20 T + 186 T^{2} + 1060 T^{3} + 2809 T^{4} \))(\( 1 - 7 T + 117 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( 1 - 3 T + 77 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 - 10 T + 159 T^{2} - 996 T^{3} + 8427 T^{4} - 28090 T^{5} + 148877 T^{6} \))(\( 1 - 21 T + 299 T^{2} - 2522 T^{3} + 15847 T^{4} - 58989 T^{5} + 148877 T^{6} \))(\( 1 + 111 T^{2} + 120 T^{3} + 5883 T^{4} + 148877 T^{6} \))(\( 1 - 21 T + 299 T^{2} - 2522 T^{3} + 15847 T^{4} - 58989 T^{5} + 148877 T^{6} \))(\( 1 + 143 T^{2} - 8 T^{3} + 7579 T^{4} + 148877 T^{6} \))(\( 1 - 10 T + 159 T^{2} - 996 T^{3} + 8427 T^{4} - 28090 T^{5} + 148877 T^{6} \))(\( 1 - 16 T + 244 T^{2} - 2096 T^{3} + 18582 T^{4} - 111088 T^{5} + 685396 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( 1 + 148 T^{2} + 192 T^{3} + 9942 T^{4} + 10176 T^{5} + 415732 T^{6} + 7890481 T^{8} \))(\( 1 - 9 T + 108 T^{2} - 725 T^{3} + 4961 T^{4} - 38425 T^{5} + 303372 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 + 161 T^{2} + 20 T^{3} + 11657 T^{4} + 1060 T^{5} + 452249 T^{6} + 7890481 T^{8} \))(\( 1 - 28 T^{2} + 2230 T^{4} - 78652 T^{6} + 7890481 T^{8} \))(\( 1 - 28 T^{2} + 2230 T^{4} - 78652 T^{6} + 7890481 T^{8} \))(\( 1 + 161 T^{2} + 20 T^{3} + 11657 T^{4} + 1060 T^{5} + 452249 T^{6} + 7890481 T^{8} \))(\( 1 - 16 T + 244 T^{2} - 2096 T^{3} + 18582 T^{4} - 111088 T^{5} + 685396 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( 1 + 148 T^{2} + 192 T^{3} + 9942 T^{4} + 10176 T^{5} + 415732 T^{6} + 7890481 T^{8} \))(\( 1 - 9 T + 108 T^{2} - 725 T^{3} + 4961 T^{4} - 38425 T^{5} + 303372 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 + 4 T + 238 T^{2} + 1038 T^{3} + 27039 T^{4} + 104266 T^{5} + 1829061 T^{6} + 5526098 T^{7} + 75952551 T^{8} + 154534326 T^{9} + 1877934478 T^{10} + 1672781972 T^{11} + 22164361129 T^{12} \))(\( 1 + 98 T^{2} + 8247 T^{4} + 518972 T^{6} + 23165823 T^{8} + 773267138 T^{10} + 22164361129 T^{12} \))(\( 1 + 98 T^{2} + 8247 T^{4} + 518972 T^{6} + 23165823 T^{8} + 773267138 T^{10} + 22164361129 T^{12} \))(\( 1 + 4 T + 238 T^{2} + 1038 T^{3} + 27039 T^{4} + 104266 T^{5} + 1829061 T^{6} + 5526098 T^{7} + 75952551 T^{8} + 154534326 T^{9} + 1877934478 T^{10} + 1672781972 T^{11} + 22164361129 T^{12} \))(\( 1 + 37 T + 857 T^{2} + 14496 T^{3} + 199396 T^{4} + 2305797 T^{5} + 23105040 T^{6} + 202528658 T^{7} + 1568879259 T^{8} + 10734018874 T^{9} + 64902057360 T^{10} + 343280139969 T^{11} + 1573330349476 T^{12} + 6062161866528 T^{13} + 18994857487553 T^{14} + 43464312173969 T^{15} + 62259690411361 T^{16} \))(\( 1 + 309 T^{2} + 46057 T^{4} + 4297787 T^{6} + 273052220 T^{8} + 12072483683 T^{10} + 363411883417 T^{12} + 6848787588861 T^{14} + 62259690411361 T^{16} \))(\( 1 + 309 T^{2} + 46057 T^{4} + 4297787 T^{6} + 273052220 T^{8} + 12072483683 T^{10} + 363411883417 T^{12} + 6848787588861 T^{14} + 62259690411361 T^{16} \))(\( 1 + 37 T + 857 T^{2} + 14496 T^{3} + 199396 T^{4} + 2305797 T^{5} + 23105040 T^{6} + 202528658 T^{7} + 1568879259 T^{8} + 10734018874 T^{9} + 64902057360 T^{10} + 343280139969 T^{11} + 1573330349476 T^{12} + 6062161866528 T^{13} + 18994857487553 T^{14} + 43464312173969 T^{15} + 62259690411361 T^{16} \))(\( 1 - T + 254 T^{2} + 378 T^{3} + 28817 T^{4} + 120372 T^{5} + 2050339 T^{6} + 14991722 T^{7} + 109654718 T^{8} + 1160429241 T^{9} + 5512758766 T^{10} + 61502749773 T^{11} + 308020102862 T^{12} + 2231922596194 T^{13} + 16178160923059 T^{14} + 50339027883396 T^{15} + 638710394654393 T^{16} + 444040810858386 T^{17} + 15813961364485694 T^{18} - 3299763591802133 T^{19} + 174887470365513049 T^{20} \))(\( 1 - T + 254 T^{2} + 378 T^{3} + 28817 T^{4} + 120372 T^{5} + 2050339 T^{6} + 14991722 T^{7} + 109654718 T^{8} + 1160429241 T^{9} + 5512758766 T^{10} + 61502749773 T^{11} + 308020102862 T^{12} + 2231922596194 T^{13} + 16178160923059 T^{14} + 50339027883396 T^{15} + 638710394654393 T^{16} + 444040810858386 T^{17} + 15813961364485694 T^{18} - 3299763591802133 T^{19} + 174887470365513049 T^{20} \))(\( 1 + 382 T^{2} + 66487 T^{4} + 7011646 T^{6} + 511558763 T^{8} + 29260051156 T^{10} + 1541317998842 T^{12} + 82191483697204 T^{14} + 4036444699835003 T^{16} + 155408654052708334 T^{18} + 4139460036380158807 T^{20} + 66807013679625984718 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 382 T^{2} + 66487 T^{4} + 7011646 T^{6} + 511558763 T^{8} + 29260051156 T^{10} + 1541317998842 T^{12} + 82191483697204 T^{14} + 4036444699835003 T^{16} + 155408654052708334 T^{18} + 4139460036380158807 T^{20} + 66807013679625984718 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 351 T^{2} + 64830 T^{4} + 8433028 T^{6} + 868191366 T^{8} + 74745980881 T^{10} + 5523680770247 T^{12} + 355312335854452 T^{14} + 20065793083018168 T^{16} + 998072351415155668 T^{18} + 43584498167699318807 T^{20} + \)\(16\!\cdots\!49\)\( T^{22} + \)\(54\!\cdots\!26\)\( T^{24} + \)\(14\!\cdots\!72\)\( T^{26} + \)\(31\!\cdots\!30\)\( T^{28} + \)\(48\!\cdots\!19\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 351 T^{2} + 64830 T^{4} + 8433028 T^{6} + 868191366 T^{8} + 74745980881 T^{10} + 5523680770247 T^{12} + 355312335854452 T^{14} + 20065793083018168 T^{16} + 998072351415155668 T^{18} + 43584498167699318807 T^{20} + \)\(16\!\cdots\!49\)\( T^{22} + \)\(54\!\cdots\!26\)\( T^{24} + \)\(14\!\cdots\!72\)\( T^{26} + \)\(31\!\cdots\!30\)\( T^{28} + \)\(48\!\cdots\!19\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 11 T + 117 T^{2} + 649 T^{3} + 3481 T^{4} \))(\( 1 + 23 T + 249 T^{2} + 1357 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 9 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 18 T + 194 T^{2} + 1062 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 25 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 39 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 7 T + 129 T^{2} - 413 T^{3} + 3481 T^{4} \))(\( 1 - 15 T + 163 T^{2} - 885 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 107 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 17 T + 187 T^{2} + 1003 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 121 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 - 21 T + 224 T^{2} - 1239 T^{3} + 3481 T^{4} \))(\( 1 + 97 T^{2} + 3481 T^{4} \))(\( 1 + T^{2} + 3481 T^{4} \))(\( 1 + T^{2} + 3481 T^{4} \))(\( 1 + 70 T^{2} + 3481 T^{4} \))(\( 1 + 2 T + 114 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 2 T + 114 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 2 T + 114 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 - 7 T^{2} + 3481 T^{4} \))(\( 1 - 2 T + 39 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 7 T + 129 T^{2} - 413 T^{3} + 3481 T^{4} \))(\( 1 - 15 T + 163 T^{2} - 885 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 107 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 121 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 17 T + 187 T^{2} + 1003 T^{3} + 3481 T^{4} \))(\( 1 - 21 T + 224 T^{2} - 1239 T^{3} + 3481 T^{4} \))(\( 1 + 18 T + 194 T^{2} + 1062 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 25 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 9 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 11 T + 117 T^{2} + 649 T^{3} + 3481 T^{4} \))(\( 1 + 23 T + 249 T^{2} + 1357 T^{3} + 3481 T^{4} \))(\( 1 + T + 171 T^{2} + 120 T^{3} + 10089 T^{4} + 3481 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 150 T^{2} + 622 T^{3} + 8850 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 - 24 T + 264 T^{2} - 2116 T^{3} + 15576 T^{4} - 83544 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 150 T^{2} + 622 T^{3} + 8850 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 + 120 T^{2} + 52 T^{3} + 7080 T^{4} + 205379 T^{6} \))(\( 1 + T + 171 T^{2} + 120 T^{3} + 10089 T^{4} + 3481 T^{5} + 205379 T^{6} \))(\( 1 + 2 T - 20 T^{2} + 136 T^{3} + 6195 T^{4} + 8024 T^{5} - 69620 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 6 T + 208 T^{2} - 936 T^{3} + 17751 T^{4} - 55224 T^{5} + 724048 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 25 T + 428 T^{2} - 4725 T^{3} + 42353 T^{4} - 278775 T^{5} + 1489868 T^{6} - 5134475 T^{7} + 12117361 T^{8} \))(\( 1 - 16 T + 308 T^{2} - 2936 T^{3} + 29398 T^{4} - 173224 T^{5} + 1072148 T^{6} - 3286064 T^{7} + 12117361 T^{8} \))(\( 1 + 158 T^{2} + 12307 T^{4} + 549998 T^{6} + 12117361 T^{8} \))(\( 1 + 158 T^{2} + 12307 T^{4} + 549998 T^{6} + 12117361 T^{8} \))(\( 1 - 16 T + 308 T^{2} - 2936 T^{3} + 29398 T^{4} - 173224 T^{5} + 1072148 T^{6} - 3286064 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T - 20 T^{2} + 136 T^{3} + 6195 T^{4} + 8024 T^{5} - 69620 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 6 T + 208 T^{2} - 936 T^{3} + 17751 T^{4} - 55224 T^{5} + 724048 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 25 T + 428 T^{2} - 4725 T^{3} + 42353 T^{4} - 278775 T^{5} + 1489868 T^{6} - 5134475 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T + 67 T^{2} - 234 T^{3} + 3960 T^{4} - 16822 T^{5} + 97728 T^{6} - 992498 T^{7} + 13784760 T^{8} - 48058686 T^{9} + 811863187 T^{10} - 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 + 116 T^{2} + 6924 T^{4} + 354662 T^{6} + 24102444 T^{8} + 1405613876 T^{10} + 42180533641 T^{12} \))(\( 1 + 116 T^{2} + 6924 T^{4} + 354662 T^{6} + 24102444 T^{8} + 1405613876 T^{10} + 42180533641 T^{12} \))(\( 1 - 4 T + 67 T^{2} - 234 T^{3} + 3960 T^{4} - 16822 T^{5} + 97728 T^{6} - 992498 T^{7} + 13784760 T^{8} - 48058686 T^{9} + 811863187 T^{10} - 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 + T + 332 T^{2} + 463 T^{3} + 53293 T^{4} + 80577 T^{5} + 5426300 T^{6} + 7692267 T^{7} + 381400788 T^{8} + 453843753 T^{9} + 18888950300 T^{10} + 16548823683 T^{11} + 645770519773 T^{12} + 331009950437 T^{13} + 14003937168812 T^{14} + 2488651484819 T^{15} + 146830437604321 T^{16} \))(\( 1 + 231 T^{2} + 26381 T^{4} + 2233077 T^{6} + 150489196 T^{8} + 7773341037 T^{10} + 319668100541 T^{12} + 9743703271071 T^{14} + 146830437604321 T^{16} \))(\( 1 + 231 T^{2} + 26381 T^{4} + 2233077 T^{6} + 150489196 T^{8} + 7773341037 T^{10} + 319668100541 T^{12} + 9743703271071 T^{14} + 146830437604321 T^{16} \))(\( 1 + T + 332 T^{2} + 463 T^{3} + 53293 T^{4} + 80577 T^{5} + 5426300 T^{6} + 7692267 T^{7} + 381400788 T^{8} + 453843753 T^{9} + 18888950300 T^{10} + 16548823683 T^{11} + 645770519773 T^{12} + 331009950437 T^{13} + 14003937168812 T^{14} + 2488651484819 T^{15} + 146830437604321 T^{16} \))(\( 1 + 23 T + 495 T^{2} + 6037 T^{3} + 71081 T^{4} + 556772 T^{5} + 4700924 T^{6} + 26168124 T^{7} + 209482574 T^{8} + 1016636482 T^{9} + 10462754634 T^{10} + 59981552438 T^{11} + 729208840094 T^{12} + 5374383138996 T^{13} + 56962793141564 T^{14} + 398049831802828 T^{15} + 2998234511735921 T^{16} + 15023989013852303 T^{17} + 72681066614138895 T^{18} + 199248903829063597 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 23 T + 495 T^{2} + 6037 T^{3} + 71081 T^{4} + 556772 T^{5} + 4700924 T^{6} + 26168124 T^{7} + 209482574 T^{8} + 1016636482 T^{9} + 10462754634 T^{10} + 59981552438 T^{11} + 729208840094 T^{12} + 5374383138996 T^{13} + 56962793141564 T^{14} + 398049831802828 T^{15} + 2998234511735921 T^{16} + 15023989013852303 T^{17} + 72681066614138895 T^{18} + 199248903829063597 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 388 T^{2} + 79864 T^{4} + 11127724 T^{6} + 1159312964 T^{8} + 94699812532 T^{10} + 6212827842398 T^{12} + 329650047423892 T^{14} + 14047813696768004 T^{16} + 469373336529763084 T^{18} + 11726466068831492344 T^{20} + \)\(19\!\cdots\!88\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 388 T^{2} + 79864 T^{4} + 11127724 T^{6} + 1159312964 T^{8} + 94699812532 T^{10} + 6212827842398 T^{12} + 329650047423892 T^{14} + 14047813696768004 T^{16} + 469373336529763084 T^{18} + 11726466068831492344 T^{20} + \)\(19\!\cdots\!88\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 543 T^{2} + 139357 T^{4} + 22696633 T^{6} + 2682074118 T^{8} + 251509115123 T^{10} + 19990430200355 T^{12} + 1399738718709125 T^{14} + 87411313846785426 T^{16} + 4872490479826464125 T^{18} + \)\(24\!\cdots\!55\)\( T^{20} + \)\(10\!\cdots\!43\)\( T^{22} + \)\(39\!\cdots\!78\)\( T^{24} + \)\(11\!\cdots\!33\)\( T^{26} + \)\(24\!\cdots\!17\)\( T^{28} + \)\(33\!\cdots\!23\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 543 T^{2} + 139357 T^{4} + 22696633 T^{6} + 2682074118 T^{8} + 251509115123 T^{10} + 19990430200355 T^{12} + 1399738718709125 T^{14} + 87411313846785426 T^{16} + 4872490479826464125 T^{18} + \)\(24\!\cdots\!55\)\( T^{20} + \)\(10\!\cdots\!43\)\( T^{22} + \)\(39\!\cdots\!78\)\( T^{24} + \)\(11\!\cdots\!33\)\( T^{26} + \)\(24\!\cdots\!17\)\( T^{28} + \)\(33\!\cdots\!23\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 10 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 13 T + 163 T^{2} - 793 T^{3} + 3721 T^{4} \))(\( 1 + 77 T^{2} + 3721 T^{4} \))(\( 1 + 8 T + 118 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 42 T^{2} + 3721 T^{4} \))(\( 1 - 6 T + 104 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 16 T + 166 T^{2} - 976 T^{3} + 3721 T^{4} \))(\( 1 + 2 T + 43 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 16 T + 181 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( 1 - 16 T + 166 T^{2} - 976 T^{3} + 3721 T^{4} \))(\( 1 + 5 T + 125 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 30 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 14 T + 61 T^{2} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( 1 - 10 T + 142 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( 1 + 16 T + 166 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( 1 - 2 T + 43 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 16 T + 181 T^{2} - 976 T^{3} + 3721 T^{4} \))(\( 1 + 16 T + 166 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 5 T + 125 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 30 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 42 T^{2} + 3721 T^{4} \))(\( 1 + 6 T + 104 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 118 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 13 T + 163 T^{2} + 793 T^{3} + 3721 T^{4} \))(\( 1 + 77 T^{2} + 3721 T^{4} \))(\( 1 + 16 T + 249 T^{2} + 2032 T^{3} + 15189 T^{4} + 59536 T^{5} + 226981 T^{6} \))(\( 1 - 12 T + 165 T^{2} - 1172 T^{3} + 10065 T^{4} - 44652 T^{5} + 226981 T^{6} \))(\( ( 1 + 6 T + 61 T^{2} )^{3} \))(\( 1 + 12 T + 165 T^{2} + 1172 T^{3} + 10065 T^{4} + 44652 T^{5} + 226981 T^{6} \))(\( ( 1 - 2 T + 61 T^{2} )^{3} \))(\( 1 - 16 T + 249 T^{2} - 2032 T^{3} + 15189 T^{4} - 59536 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 180 T^{2} - 418 T^{3} + 14804 T^{4} - 25498 T^{5} + 669780 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 + 10 T + 108 T^{2} + 314 T^{3} + 3596 T^{4} + 19154 T^{5} + 401868 T^{6} + 2269810 T^{7} + 13845841 T^{8} \))(\( 1 + 19 T + 238 T^{2} + 2447 T^{3} + 20599 T^{4} + 149267 T^{5} + 885598 T^{6} + 4312639 T^{7} + 13845841 T^{8} \))(\( 1 - 14 T + 260 T^{2} - 2306 T^{3} + 24294 T^{4} - 140666 T^{5} + 967460 T^{6} - 3177734 T^{7} + 13845841 T^{8} \))(\( ( 1 - 4 T + 112 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 4 T + 112 T^{2} + 244 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 14 T + 260 T^{2} + 2306 T^{3} + 24294 T^{4} + 140666 T^{5} + 967460 T^{6} + 3177734 T^{7} + 13845841 T^{8} \))(\( 1 + 2 T + 180 T^{2} + 418 T^{3} + 14804 T^{4} + 25498 T^{5} + 669780 T^{6} + 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 10 T + 108 T^{2} - 314 T^{3} + 3596 T^{4} - 19154 T^{5} + 401868 T^{6} - 2269810 T^{7} + 13845841 T^{8} \))(\( 1 - 19 T + 238 T^{2} - 2447 T^{3} + 20599 T^{4} - 149267 T^{5} + 885598 T^{6} - 4312639 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 43 T^{2} + 374 T^{3} + 8672 T^{4} + 41834 T^{5} + 220388 T^{6} + 2551874 T^{7} + 32268512 T^{8} + 84890894 T^{9} + 595371163 T^{10} + 6756770408 T^{11} + 51520374361 T^{12} \))(\( ( 1 + 8 T + 123 T^{2} + 704 T^{3} + 7503 T^{4} + 29768 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 8 T + 123 T^{2} - 704 T^{3} + 7503 T^{4} - 29768 T^{5} + 226981 T^{6} )^{2} \))(\( 1 - 8 T + 43 T^{2} - 374 T^{3} + 8672 T^{4} - 41834 T^{5} + 220388 T^{6} - 2551874 T^{7} + 32268512 T^{8} - 84890894 T^{9} + 595371163 T^{10} - 6756770408 T^{11} + 51520374361 T^{12} \))(\( 1 - 19 T + 492 T^{2} - 7043 T^{3} + 104067 T^{4} - 1170549 T^{5} + 12549376 T^{6} - 113336285 T^{7} + 952230800 T^{8} - 6913513385 T^{9} + 46696228096 T^{10} - 265692382569 T^{11} + 1440895135347 T^{12} - 5948491747943 T^{13} + 25348024185612 T^{14} - 59712113884399 T^{15} + 191707312997281 T^{16} \))(\( ( 1 - 14 T + 271 T^{2} - 2248 T^{3} + 24496 T^{4} - 137128 T^{5} + 1008391 T^{6} - 3177734 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 14 T + 271 T^{2} + 2248 T^{3} + 24496 T^{4} + 137128 T^{5} + 1008391 T^{6} + 3177734 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 + 19 T + 492 T^{2} + 7043 T^{3} + 104067 T^{4} + 1170549 T^{5} + 12549376 T^{6} + 113336285 T^{7} + 952230800 T^{8} + 6913513385 T^{9} + 46696228096 T^{10} + 265692382569 T^{11} + 1440895135347 T^{12} + 5948491747943 T^{13} + 25348024185612 T^{14} + 59712113884399 T^{15} + 191707312997281 T^{16} \))(\( 1 + 215 T^{2} + 490 T^{3} + 23725 T^{4} + 88654 T^{5} + 1906100 T^{6} + 8267970 T^{7} + 125871770 T^{8} + 598496950 T^{9} + 7588984906 T^{10} + 36508313950 T^{11} + 468368856170 T^{12} + 1876672098570 T^{13} + 26391557530100 T^{14} + 74876840468854 T^{15} + 1222320881714725 T^{16} + 1539943989650290 T^{17} + 41217072294415415 T^{18} + 713342911662882601 T^{20} \))(\( 1 + 215 T^{2} - 490 T^{3} + 23725 T^{4} - 88654 T^{5} + 1906100 T^{6} - 8267970 T^{7} + 125871770 T^{8} - 598496950 T^{9} + 7588984906 T^{10} - 36508313950 T^{11} + 468368856170 T^{12} - 1876672098570 T^{13} + 26391557530100 T^{14} - 74876840468854 T^{15} + 1222320881714725 T^{16} - 1539943989650290 T^{17} + 41217072294415415 T^{18} + 713342911662882601 T^{20} \))(\( ( 1 + 22 T + 418 T^{2} + 5566 T^{3} + 62885 T^{4} + 613252 T^{5} + 5052104 T^{6} + 37408372 T^{7} + 233995085 T^{8} + 1263376246 T^{9} + 5787561538 T^{10} + 18581118622 T^{11} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 22 T + 418 T^{2} - 5566 T^{3} + 62885 T^{4} - 613252 T^{5} + 5052104 T^{6} - 37408372 T^{7} + 233995085 T^{8} - 1263376246 T^{9} + 5787561538 T^{10} - 18581118622 T^{11} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 14 T + 369 T^{2} - 3982 T^{3} + 63690 T^{4} - 570114 T^{5} + 6849895 T^{6} - 51546370 T^{7} + 501244586 T^{8} - 3144328570 T^{9} + 25488459295 T^{10} - 129405045834 T^{11} + 881841613290 T^{12} - 3363182470582 T^{13} + 19011018139209 T^{14} - 43998399704294 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 14 T + 369 T^{2} + 3982 T^{3} + 63690 T^{4} + 570114 T^{5} + 6849895 T^{6} + 51546370 T^{7} + 501244586 T^{8} + 3144328570 T^{9} + 25488459295 T^{10} + 129405045834 T^{11} + 881841613290 T^{12} + 3363182470582 T^{13} + 19011018139209 T^{14} + 43998399704294 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 + 3 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 - 6 T + 98 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 13 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 8 T + 67 T^{2} )^{2} \))(\( ( 1 + 7 T + 67 T^{2} )^{2} \))(\( 1 + 4 T + 13 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 22 T + 250 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 178 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 93 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + T + 53 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 125 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 3 T + 30 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 129 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 15 T + 67 T^{2} )^{2} \))(\( ( 1 + 15 T + 67 T^{2} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} \))(\( 1 + 24 T + 273 T^{2} + 1608 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 13 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 22 T + 250 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 178 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 93 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 125 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + T + 53 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 + 3 T + 30 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( ( 1 - 8 T + 67 T^{2} )^{2} \))(\( ( 1 + 7 T + 67 T^{2} )^{2} \))(\( 1 + 4 T + 13 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 - 6 T + 98 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 + 3 T + 113 T^{2} - 22 T^{3} + 7571 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 - 2 T + 50 T^{2} - 852 T^{3} + 3350 T^{4} - 8978 T^{5} + 300763 T^{6} \))(\( 1 - 12 T + 228 T^{2} - 1604 T^{3} + 15276 T^{4} - 53868 T^{5} + 300763 T^{6} \))(\( 1 - 2 T + 50 T^{2} - 852 T^{3} + 3350 T^{4} - 8978 T^{5} + 300763 T^{6} \))(\( 1 + 4 T + 116 T^{2} + 300 T^{3} + 7772 T^{4} + 17956 T^{5} + 300763 T^{6} \))(\( 1 + 3 T + 113 T^{2} - 22 T^{3} + 7571 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 + 20 T + 282 T^{2} + 2776 T^{3} + 24707 T^{4} + 185992 T^{5} + 1265898 T^{6} + 6015260 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 130 T^{2} + 56 T^{3} + 8299 T^{4} + 3752 T^{5} + 583570 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} \))(\( 1 + 28 T + 541 T^{2} + 6696 T^{3} + 64817 T^{4} + 448632 T^{5} + 2428549 T^{6} + 8421364 T^{7} + 20151121 T^{8} \))(\( ( 1 - 2 T + 79 T^{2} - 134 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 2 T + 79 T^{2} - 134 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 28 T + 541 T^{2} + 6696 T^{3} + 64817 T^{4} + 448632 T^{5} + 2428549 T^{6} + 8421364 T^{7} + 20151121 T^{8} \))(\( 1 + 20 T + 282 T^{2} + 2776 T^{3} + 24707 T^{4} + 185992 T^{5} + 1265898 T^{6} + 6015260 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 130 T^{2} + 56 T^{3} + 8299 T^{4} + 3752 T^{5} + 583570 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} \))(\( 1 - 6 T + 241 T^{2} - 1340 T^{3} + 30488 T^{4} - 149518 T^{5} + 2474324 T^{6} - 10017706 T^{7} + 136860632 T^{8} - 403022420 T^{9} + 4856420161 T^{10} - 8100750642 T^{11} + 90458382169 T^{12} \))(\( ( 1 - 12 T + 212 T^{2} - 1540 T^{3} + 14204 T^{4} - 53868 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 - 12 T + 212 T^{2} - 1540 T^{3} + 14204 T^{4} - 53868 T^{5} + 300763 T^{6} )^{2} \))(\( 1 - 6 T + 241 T^{2} - 1340 T^{3} + 30488 T^{4} - 149518 T^{5} + 2474324 T^{6} - 10017706 T^{7} + 136860632 T^{8} - 403022420 T^{9} + 4856420161 T^{10} - 8100750642 T^{11} + 90458382169 T^{12} \))(\( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} \))(\( ( 1 + 18 T + 296 T^{2} + 2706 T^{3} + 26782 T^{4} + 181302 T^{5} + 1328744 T^{6} + 5413734 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 18 T + 296 T^{2} + 2706 T^{3} + 26782 T^{4} + 181302 T^{5} + 1328744 T^{6} + 5413734 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} \))(\( 1 - 38 T + 939 T^{2} - 16920 T^{3} + 253022 T^{4} - 3231648 T^{5} + 37034650 T^{6} - 384823180 T^{7} + 3720320353 T^{8} - 33446868814 T^{9} + 283134556406 T^{10} - 2240940210538 T^{11} + 16700518064617 T^{12} - 115740574086340 T^{13} + 746289713342650 T^{14} - 4363129101786336 T^{15} + 22887960773164718 T^{16} - 102547240362065160 T^{17} + 381297549225685899 T^{18} - 1033848307059207986 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 38 T + 939 T^{2} - 16920 T^{3} + 253022 T^{4} - 3231648 T^{5} + 37034650 T^{6} - 384823180 T^{7} + 3720320353 T^{8} - 33446868814 T^{9} + 283134556406 T^{10} - 2240940210538 T^{11} + 16700518064617 T^{12} - 115740574086340 T^{13} + 746289713342650 T^{14} - 4363129101786336 T^{15} + 22887960773164718 T^{16} - 102547240362065160 T^{17} + 381297549225685899 T^{18} - 1033848307059207986 T^{19} + 1822837804551761449 T^{20} \))(\( ( 1 + 196 T^{2} + 64 T^{3} + 21428 T^{4} + 1352 T^{5} + 1671734 T^{6} + 90584 T^{7} + 96190292 T^{8} + 19248832 T^{9} + 3949619716 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 196 T^{2} + 64 T^{3} + 21428 T^{4} + 1352 T^{5} + 1671734 T^{6} + 90584 T^{7} + 96190292 T^{8} + 19248832 T^{9} + 3949619716 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 26 T + 589 T^{2} - 8044 T^{3} + 101599 T^{4} - 918934 T^{5} + 8384403 T^{6} - 59948252 T^{7} + 526057568 T^{8} - 4016532884 T^{9} + 37637585067 T^{10} - 276381346642 T^{11} + 2047333742479 T^{12} - 10860406360708 T^{13} + 53279987097541 T^{14} - 157578501738398 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 26 T + 589 T^{2} - 8044 T^{3} + 101599 T^{4} - 918934 T^{5} + 8384403 T^{6} - 59948252 T^{7} + 526057568 T^{8} - 4016532884 T^{9} + 37637585067 T^{10} - 276381346642 T^{11} + 2047333742479 T^{12} - 10860406360708 T^{13} + 53279987097541 T^{14} - 157578501738398 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 21 T + 221 T^{2} - 1491 T^{3} + 5041 T^{4} \))(\( 1 + 20 T + 237 T^{2} + 1420 T^{3} + 5041 T^{4} \))(\( 1 + 122 T^{2} + 5041 T^{4} \))(\( 1 + 62 T^{2} + 5041 T^{4} \))(\( 1 - 6 T + 4 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 18 T + 203 T^{2} - 1278 T^{3} + 5041 T^{4} \))(\( 1 - 6 T + 131 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 158 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 5 T + 145 T^{2} - 355 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 106 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 - 2 T + 126 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 62 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 66 T^{2} + 5041 T^{4} \))(\( 1 - 66 T^{2} + 5041 T^{4} \))(\( 1 + 34 T^{2} + 5041 T^{4} \))(\( 1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 158 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 18 T + 203 T^{2} - 1278 T^{3} + 5041 T^{4} \))(\( 1 - 6 T + 131 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 158 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 106 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 - 5 T + 145 T^{2} - 355 T^{3} + 5041 T^{4} \))(\( 1 - 2 T + 126 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 + 62 T^{2} + 5041 T^{4} \))(\( 1 - 6 T + 4 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 + 122 T^{2} + 5041 T^{4} \))(\( 1 - 21 T + 221 T^{2} - 1491 T^{3} + 5041 T^{4} \))(\( 1 + 20 T + 237 T^{2} + 1420 T^{3} + 5041 T^{4} \))(\( 1 + 5 T + 5 T^{2} - 770 T^{3} + 355 T^{4} + 25205 T^{5} + 357911 T^{6} \))(\( 1 + 179 T^{2} + 76 T^{3} + 12709 T^{4} + 357911 T^{6} \))(\( 1 + 12 T + 165 T^{2} + 1320 T^{3} + 11715 T^{4} + 60492 T^{5} + 357911 T^{6} \))(\( 1 + 179 T^{2} + 76 T^{3} + 12709 T^{4} + 357911 T^{6} \))(\( 1 - 12 T + 197 T^{2} - 1448 T^{3} + 13987 T^{4} - 60492 T^{5} + 357911 T^{6} \))(\( 1 + 5 T + 5 T^{2} - 770 T^{3} + 355 T^{4} + 25205 T^{5} + 357911 T^{6} \))(\( 1 - 10 T + 76 T^{2} + 790 T^{3} - 8172 T^{4} + 56090 T^{5} + 383116 T^{6} - 3579110 T^{7} + 25411681 T^{8} \))(\( 1 - 6 T + 220 T^{2} - 1014 T^{3} + 20916 T^{4} - 71994 T^{5} + 1109020 T^{6} - 2147466 T^{7} + 25411681 T^{8} \))(\( 1 - 7 T + 201 T^{2} - 812 T^{3} + 17469 T^{4} - 57652 T^{5} + 1013241 T^{6} - 2505377 T^{7} + 25411681 T^{8} \))(\( 1 - 18 T + 327 T^{2} - 3632 T^{3} + 36173 T^{4} - 257872 T^{5} + 1648407 T^{6} - 6442398 T^{7} + 25411681 T^{8} \))(\( ( 1 + 140 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 140 T^{2} + 5041 T^{4} )^{2} \))(\( 1 - 18 T + 327 T^{2} - 3632 T^{3} + 36173 T^{4} - 257872 T^{5} + 1648407 T^{6} - 6442398 T^{7} + 25411681 T^{8} \))(\( 1 - 10 T + 76 T^{2} + 790 T^{3} - 8172 T^{4} + 56090 T^{5} + 383116 T^{6} - 3579110 T^{7} + 25411681 T^{8} \))(\( 1 - 6 T + 220 T^{2} - 1014 T^{3} + 20916 T^{4} - 71994 T^{5} + 1109020 T^{6} - 2147466 T^{7} + 25411681 T^{8} \))(\( 1 - 7 T + 201 T^{2} - 812 T^{3} + 17469 T^{4} - 57652 T^{5} + 1013241 T^{6} - 2505377 T^{7} + 25411681 T^{8} \))(\( 1 + 22 T + 533 T^{2} + 7336 T^{3} + 101080 T^{4} + 997626 T^{5} + 9693428 T^{6} + 70831446 T^{7} + 509544280 T^{8} + 2625635096 T^{9} + 13544425973 T^{10} + 39693045722 T^{11} + 128100283921 T^{12} \))(\( 1 + 18 T^{2} + 6671 T^{4} - 156772 T^{6} + 33628511 T^{8} + 457410258 T^{10} + 128100283921 T^{12} \))(\( 1 + 18 T^{2} + 6671 T^{4} - 156772 T^{6} + 33628511 T^{8} + 457410258 T^{10} + 128100283921 T^{12} \))(\( 1 + 22 T + 533 T^{2} + 7336 T^{3} + 101080 T^{4} + 997626 T^{5} + 9693428 T^{6} + 70831446 T^{7} + 509544280 T^{8} + 2625635096 T^{9} + 13544425973 T^{10} + 39693045722 T^{11} + 128100283921 T^{12} \))(\( 1 + 13 T + 398 T^{2} + 3457 T^{3} + 57783 T^{4} + 323737 T^{5} + 4210848 T^{6} + 14543752 T^{7} + 249426533 T^{8} + 1032606392 T^{9} + 21226884768 T^{10} + 115869033407 T^{11} + 1468363163223 T^{12} + 6237220866407 T^{13} + 50983913000558 T^{14} + 118236562059083 T^{15} + 645753531245761 T^{16} \))(\( 1 + 356 T^{2} + 64919 T^{4} + 7704636 T^{6} + 645639360 T^{8} + 38839070076 T^{10} + 1649700918839 T^{12} + 45603701075876 T^{14} + 645753531245761 T^{16} \))(\( 1 + 356 T^{2} + 64919 T^{4} + 7704636 T^{6} + 645639360 T^{8} + 38839070076 T^{10} + 1649700918839 T^{12} + 45603701075876 T^{14} + 645753531245761 T^{16} \))(\( 1 + 13 T + 398 T^{2} + 3457 T^{3} + 57783 T^{4} + 323737 T^{5} + 4210848 T^{6} + 14543752 T^{7} + 249426533 T^{8} + 1032606392 T^{9} + 21226884768 T^{10} + 115869033407 T^{11} + 1468363163223 T^{12} + 6237220866407 T^{13} + 50983913000558 T^{14} + 118236562059083 T^{15} + 645753531245761 T^{16} \))(\( 1 + 26 T + 632 T^{2} + 9130 T^{3} + 126663 T^{4} + 1295526 T^{5} + 13933979 T^{6} + 123894450 T^{7} + 1257395276 T^{8} + 10721089596 T^{9} + 100241082738 T^{10} + 761197361316 T^{11} + 6338529586316 T^{12} + 44343186493950 T^{13} + 354085829408699 T^{14} + 2337426034183626 T^{15} + 16225566262285623 T^{16} + 83038447046109830 T^{17} + 408116231747320952 T^{18} + 1192061018679674806 T^{19} + 3255243551009881201 T^{20} \))(\( 1 + 26 T + 632 T^{2} + 9130 T^{3} + 126663 T^{4} + 1295526 T^{5} + 13933979 T^{6} + 123894450 T^{7} + 1257395276 T^{8} + 10721089596 T^{9} + 100241082738 T^{10} + 761197361316 T^{11} + 6338529586316 T^{12} + 44343186493950 T^{13} + 354085829408699 T^{14} + 2337426034183626 T^{15} + 16225566262285623 T^{16} + 83038447046109830 T^{17} + 408116231747320952 T^{18} + 1192061018679674806 T^{19} + 3255243551009881201 T^{20} \))(\( 1 + 72 T^{2} + 12670 T^{4} + 721048 T^{6} + 105137939 T^{8} + 4570036592 T^{10} + 536793730748 T^{12} + 23037554460272 T^{14} + 2671731766865459 T^{16} + 92366453520669208 T^{18} + 8181697240883791870 T^{20} + \)\(23\!\cdots\!72\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 72 T^{2} + 12670 T^{4} + 721048 T^{6} + 105137939 T^{8} + 4570036592 T^{10} + 536793730748 T^{12} + 23037554460272 T^{14} + 2671731766865459 T^{16} + 92366453520669208 T^{18} + 8181697240883791870 T^{20} + \)\(23\!\cdots\!72\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 834 T^{2} + 339866 T^{4} + 89812338 T^{6} + 17223424482 T^{8} + 2541454758064 T^{10} + 298486048517537 T^{12} + 28463160728293788 T^{14} + 2227198780428295156 T^{16} + \)\(14\!\cdots\!08\)\( T^{18} + \)\(75\!\cdots\!97\)\( T^{20} + \)\(32\!\cdots\!44\)\( T^{22} + \)\(11\!\cdots\!02\)\( T^{24} + \)\(29\!\cdots\!38\)\( T^{26} + \)\(55\!\cdots\!06\)\( T^{28} + \)\(68\!\cdots\!54\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 + 834 T^{2} + 339866 T^{4} + 89812338 T^{6} + 17223424482 T^{8} + 2541454758064 T^{10} + 298486048517537 T^{12} + 28463160728293788 T^{14} + 2227198780428295156 T^{16} + \)\(14\!\cdots\!08\)\( T^{18} + \)\(75\!\cdots\!97\)\( T^{20} + \)\(32\!\cdots\!44\)\( T^{22} + \)\(11\!\cdots\!02\)\( T^{24} + \)\(29\!\cdots\!38\)\( T^{26} + \)\(55\!\cdots\!06\)\( T^{28} + \)\(68\!\cdots\!54\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 - 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 24 T + 285 T^{2} - 1752 T^{3} + 5329 T^{4} \))(\( 1 + T + 135 T^{2} + 73 T^{3} + 5329 T^{4} \))(\( 1 - 24 T + 285 T^{2} - 1752 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 150 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 168 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 117 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 + 17 T + 217 T^{2} + 1241 T^{3} + 5329 T^{4} \))(\( 1 - 3 T + 47 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 - 20 T + 241 T^{2} - 1460 T^{3} + 5329 T^{4} \))(\( ( 1 + 5 T + 73 T^{2} )^{2} \))(\( 1 - 4 T + 33 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 138 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( ( 1 + 7 T + 73 T^{2} )^{2} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 14 T + 73 T^{2} )^{2} \))(\( 1 + 14 T + 150 T^{2} + 1022 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 150 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 150 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 18 T + 207 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 117 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 17 T + 217 T^{2} - 1241 T^{3} + 5329 T^{4} \))(\( 1 + 3 T + 47 T^{2} + 219 T^{3} + 5329 T^{4} \))(\( 1 + 20 T + 241 T^{2} + 1460 T^{3} + 5329 T^{4} \))(\( 1 - 4 T + 33 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( ( 1 - 5 T + 73 T^{2} )^{2} \))(\( 1 + 6 T + 138 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 150 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 - 10 T + 168 T^{2} - 730 T^{3} + 5329 T^{4} \))(\( 1 - 24 T + 285 T^{2} - 1752 T^{3} + 5329 T^{4} \))(\( 1 + 24 T + 285 T^{2} + 1752 T^{3} + 5329 T^{4} \))(\( 1 - T + 135 T^{2} - 73 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 285 T^{2} - 2416 T^{3} + 20805 T^{4} - 85264 T^{5} + 389017 T^{6} \))(\( 1 + 4 T - 7 T^{2} - 1044 T^{3} - 511 T^{4} + 21316 T^{5} + 389017 T^{6} \))(\( 1 + 24 T + 396 T^{2} + 3898 T^{3} + 28908 T^{4} + 127896 T^{5} + 389017 T^{6} \))(\( 1 - 4 T - 7 T^{2} + 1044 T^{3} - 511 T^{4} - 21316 T^{5} + 389017 T^{6} \))(\( 1 - 20 T + 320 T^{2} - 3054 T^{3} + 23360 T^{4} - 106580 T^{5} + 389017 T^{6} \))(\( 1 + 16 T + 285 T^{2} + 2416 T^{3} + 20805 T^{4} + 85264 T^{5} + 389017 T^{6} \))(\( 1 + 10 T + 52 T^{2} + 406 T^{3} + 7828 T^{4} + 29638 T^{5} + 277108 T^{6} + 3890170 T^{7} + 28398241 T^{8} \))(\( 1 - 34 T + 708 T^{2} - 9614 T^{3} + 96764 T^{4} - 701822 T^{5} + 3772932 T^{6} - 13226578 T^{7} + 28398241 T^{8} \))(\( 1 + 11 T + 176 T^{2} + 1649 T^{3} + 20013 T^{4} + 120377 T^{5} + 937904 T^{6} + 4279187 T^{7} + 28398241 T^{8} \))(\( 1 + 4 T + 284 T^{2} + 852 T^{3} + 30822 T^{4} + 62196 T^{5} + 1513436 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( ( 1 - 24 T + 276 T^{2} - 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 24 T + 276 T^{2} + 1752 T^{3} + 5329 T^{4} )^{2} \))(\( 1 - 4 T + 284 T^{2} - 852 T^{3} + 30822 T^{4} - 62196 T^{5} + 1513436 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T + 52 T^{2} - 406 T^{3} + 7828 T^{4} - 29638 T^{5} + 277108 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + 34 T + 708 T^{2} + 9614 T^{3} + 96764 T^{4} + 701822 T^{5} + 3772932 T^{6} + 13226578 T^{7} + 28398241 T^{8} \))(\( 1 - 11 T + 176 T^{2} - 1649 T^{3} + 20013 T^{4} - 120377 T^{5} + 937904 T^{6} - 4279187 T^{7} + 28398241 T^{8} \))(\( 1 - 14 T + 316 T^{2} - 3752 T^{3} + 49196 T^{4} - 458618 T^{5} + 4569698 T^{6} - 33479114 T^{7} + 262165484 T^{8} - 1459591784 T^{9} + 8973844156 T^{10} - 29023002302 T^{11} + 151334226289 T^{12} \))(\( ( 1 + 22 T + 360 T^{2} + 3448 T^{3} + 26280 T^{4} + 117238 T^{5} + 389017 T^{6} )^{2} \))(\( ( 1 - 22 T + 360 T^{2} - 3448 T^{3} + 26280 T^{4} - 117238 T^{5} + 389017 T^{6} )^{2} \))(\( 1 + 14 T + 316 T^{2} + 3752 T^{3} + 49196 T^{4} + 458618 T^{5} + 4569698 T^{6} + 33479114 T^{7} + 262165484 T^{8} + 1459591784 T^{9} + 8973844156 T^{10} + 29023002302 T^{11} + 151334226289 T^{12} \))(\( 1 + 25 T + 616 T^{2} + 9963 T^{3} + 152093 T^{4} + 1861173 T^{5} + 21394652 T^{6} + 209466223 T^{7} + 1925408604 T^{8} + 15291034279 T^{9} + 114012100508 T^{10} + 724027936941 T^{11} + 4319173668413 T^{12} + 20654012281059 T^{13} + 93221883394024 T^{14} + 276184962977425 T^{15} + 806460091894081 T^{16} \))(\( ( 1 - 7 T + 167 T^{2} - 427 T^{3} + 12288 T^{4} - 31171 T^{5} + 889943 T^{6} - 2723119 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 7 T + 167 T^{2} + 427 T^{3} + 12288 T^{4} + 31171 T^{5} + 889943 T^{6} + 2723119 T^{7} + 28398241 T^{8} )^{2} \))(\( 1 - 25 T + 616 T^{2} - 9963 T^{3} + 152093 T^{4} - 1861173 T^{5} + 21394652 T^{6} - 209466223 T^{7} + 1925408604 T^{8} - 15291034279 T^{9} + 114012100508 T^{10} - 724027936941 T^{11} + 4319173668413 T^{12} - 20654012281059 T^{13} + 93221883394024 T^{14} - 276184962977425 T^{15} + 806460091894081 T^{16} \))(\( 1 - T + 393 T^{2} - 817 T^{3} + 74513 T^{4} - 250396 T^{5} + 9185572 T^{6} - 43089004 T^{7} + 854063166 T^{8} - 4726643438 T^{9} + 66584553318 T^{10} - 345044970974 T^{11} + 4551302611614 T^{12} - 16762355069068 T^{13} + 260854087378852 T^{14} - 519088834600828 T^{15} + 11276367203472257 T^{16} - 9025724590102249 T^{17} + 316938816114373833 T^{18} - 58871586708267913 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + T + 393 T^{2} + 817 T^{3} + 74513 T^{4} + 250396 T^{5} + 9185572 T^{6} + 43089004 T^{7} + 854063166 T^{8} + 4726643438 T^{9} + 66584553318 T^{10} + 345044970974 T^{11} + 4551302611614 T^{12} + 16762355069068 T^{13} + 260854087378852 T^{14} + 519088834600828 T^{15} + 11276367203472257 T^{16} + 9025724590102249 T^{17} + 316938816114373833 T^{18} + 58871586708267913 T^{19} + 4297625829703557649 T^{20} \))(\( ( 1 + 26 T + 622 T^{2} + 9206 T^{3} + 127301 T^{4} + 1316864 T^{5} + 12781136 T^{6} + 96131072 T^{7} + 678387029 T^{8} + 3581290502 T^{9} + 17663705902 T^{10} + 53899861418 T^{11} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 26 T + 622 T^{2} - 9206 T^{3} + 127301 T^{4} - 1316864 T^{5} + 12781136 T^{6} - 96131072 T^{7} + 678387029 T^{8} - 3581290502 T^{9} + 17663705902 T^{10} - 53899861418 T^{11} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 7 T + 301 T^{2} - 2487 T^{3} + 52814 T^{4} - 420273 T^{5} + 6264227 T^{6} - 45136561 T^{7} + 535074018 T^{8} - 3294968953 T^{9} + 33382065683 T^{10} - 163493341641 T^{11} + 1499824700174 T^{12} - 5155729051791 T^{13} + 45551602112989 T^{14} - 77331789633679 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 7 T + 301 T^{2} + 2487 T^{3} + 52814 T^{4} + 420273 T^{5} + 6264227 T^{6} + 45136561 T^{7} + 535074018 T^{8} + 3294968953 T^{9} + 33382065683 T^{10} + 163493341641 T^{11} + 1499824700174 T^{12} + 5155729051791 T^{13} + 45551602112989 T^{14} + 77331789633679 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 4 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 15 T + 213 T^{2} + 1185 T^{3} + 6241 T^{4} \))(\( 1 - 7 T + 159 T^{2} - 553 T^{3} + 6241 T^{4} \))(\( 1 + 138 T^{2} + 6241 T^{4} \))(\( ( 1 - 14 T + 79 T^{2} )^{2} \))(\( 1 + 8 T + 162 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 154 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - T + 127 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 203 T^{2} - 1185 T^{3} + 6241 T^{4} \))(\( 1 - 22 T^{2} + 6241 T^{4} \))(\( 1 + 13 T + 197 T^{2} + 1027 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 122 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 2 T + 142 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( 1 + 78 T^{2} + 6241 T^{4} \))(\( 1 - 20 T + 238 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 154 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + T + 127 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 + 15 T + 203 T^{2} + 1185 T^{3} + 6241 T^{4} \))(\( 1 - 22 T^{2} + 6241 T^{4} \))(\( 1 + 8 T + 122 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 13 T + 197 T^{2} - 1027 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 142 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( 1 - 8 T + 162 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 138 T^{2} + 6241 T^{4} \))(\( 1 - 15 T + 213 T^{2} - 1185 T^{3} + 6241 T^{4} \))(\( 1 + 7 T + 159 T^{2} + 553 T^{3} + 6241 T^{4} \))(\( 1 - 28 T + 465 T^{2} - 4936 T^{3} + 36735 T^{4} - 174748 T^{5} + 493039 T^{6} \))(\( 1 - 18 T + 209 T^{2} - 1636 T^{3} + 16511 T^{4} - 112338 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 189 T^{2} + 1640 T^{3} + 14931 T^{4} + 74892 T^{5} + 493039 T^{6} \))(\( 1 + 18 T + 209 T^{2} + 1636 T^{3} + 16511 T^{4} + 112338 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 221 T^{2} + 1640 T^{3} + 17459 T^{4} + 74892 T^{5} + 493039 T^{6} \))(\( 1 + 28 T + 465 T^{2} + 4936 T^{3} + 36735 T^{4} + 174748 T^{5} + 493039 T^{6} \))(\( 1 - 16 T + 312 T^{2} - 3272 T^{3} + 37490 T^{4} - 258488 T^{5} + 1947192 T^{6} - 7888624 T^{7} + 38950081 T^{8} \))(\( 1 - 24 T + 280 T^{2} - 1584 T^{3} + 8754 T^{4} - 125136 T^{5} + 1747480 T^{6} - 11832936 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 308 T^{2} - 1735 T^{3} + 35911 T^{4} - 137065 T^{5} + 1922228 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 20 T + 445 T^{2} + 5040 T^{3} + 57977 T^{4} + 398160 T^{5} + 2777245 T^{6} + 9860780 T^{7} + 38950081 T^{8} \))(\( ( 1 - 12 T + 138 T^{2} - 948 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 12 T + 138 T^{2} + 948 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 20 T + 445 T^{2} - 5040 T^{3} + 57977 T^{4} - 398160 T^{5} + 2777245 T^{6} - 9860780 T^{7} + 38950081 T^{8} \))(\( 1 + 16 T + 312 T^{2} + 3272 T^{3} + 37490 T^{4} + 258488 T^{5} + 1947192 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 24 T + 280 T^{2} + 1584 T^{3} + 8754 T^{4} + 125136 T^{5} + 1747480 T^{6} + 11832936 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T + 308 T^{2} + 1735 T^{3} + 35911 T^{4} + 137065 T^{5} + 1922228 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 28 T + 601 T^{2} + 8392 T^{3} + 100724 T^{4} + 981724 T^{5} + 9215300 T^{6} + 77556196 T^{7} + 628618484 T^{8} + 4137583288 T^{9} + 23408998681 T^{10} + 86157579172 T^{11} + 243087455521 T^{12} \))(\( ( 1 + 4 T + 93 T^{2} - 8 T^{3} + 7347 T^{4} + 24964 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 4 T + 93 T^{2} + 8 T^{3} + 7347 T^{4} - 24964 T^{5} + 493039 T^{6} )^{2} \))(\( 1 - 28 T + 601 T^{2} - 8392 T^{3} + 100724 T^{4} - 981724 T^{5} + 9215300 T^{6} - 77556196 T^{7} + 628618484 T^{8} - 4137583288 T^{9} + 23408998681 T^{10} - 86157579172 T^{11} + 243087455521 T^{12} \))(\( 1 + 337 T^{2} + 1005 T^{3} + 57248 T^{4} + 275700 T^{5} + 6743044 T^{6} + 36745800 T^{7} + 601257265 T^{8} + 2902918200 T^{9} + 42083337604 T^{10} + 135930852300 T^{11} + 2229814237088 T^{12} + 3092441680995 T^{13} + 81920472510577 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 11 T + 203 T^{2} - 2101 T^{3} + 19108 T^{4} - 165979 T^{5} + 1266923 T^{6} - 5423429 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T + 203 T^{2} + 2101 T^{3} + 19108 T^{4} + 165979 T^{5} + 1266923 T^{6} + 5423429 T^{7} + 38950081 T^{8} )^{2} \))(\( 1 + 337 T^{2} - 1005 T^{3} + 57248 T^{4} - 275700 T^{5} + 6743044 T^{6} - 36745800 T^{7} + 601257265 T^{8} - 2902918200 T^{9} + 42083337604 T^{10} - 135930852300 T^{11} + 2229814237088 T^{12} - 3092441680995 T^{13} + 81920472510577 T^{14} + 1517108809906561 T^{16} \))(\( 1 + 5 T + 552 T^{2} + 2604 T^{3} + 151027 T^{4} + 658718 T^{5} + 26569829 T^{6} + 105054020 T^{7} + 3304178864 T^{8} + 11590016269 T^{9} + 302495065710 T^{10} + 915611285251 T^{11} + 20621380290224 T^{12} + 51795728966780 T^{13} + 1034896991706149 T^{14} + 2026912437036482 T^{15} + 36712769144970067 T^{16} + 50006978999958036 T^{17} + 837444063068421672 T^{18} + 599257979913091595 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 5 T + 552 T^{2} - 2604 T^{3} + 151027 T^{4} - 658718 T^{5} + 26569829 T^{6} - 105054020 T^{7} + 3304178864 T^{8} - 11590016269 T^{9} + 302495065710 T^{10} - 915611285251 T^{11} + 20621380290224 T^{12} - 51795728966780 T^{13} + 1034896991706149 T^{14} - 2026912437036482 T^{15} + 36712769144970067 T^{16} - 50006978999958036 T^{17} + 837444063068421672 T^{18} - 599257979913091595 T^{19} + 9468276082626847201 T^{20} \))(\( ( 1 - 4 T + 106 T^{2} + 596 T^{3} + 1187 T^{4} + 48536 T^{5} + 293876 T^{6} + 3834344 T^{7} + 7408067 T^{8} + 293851244 T^{9} + 4128708586 T^{10} - 12308225596 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 4 T + 106 T^{2} - 596 T^{3} + 1187 T^{4} - 48536 T^{5} + 293876 T^{6} - 3834344 T^{7} + 7408067 T^{8} - 293851244 T^{9} + 4128708586 T^{10} + 12308225596 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 27 T + 616 T^{2} + 10464 T^{3} + 155660 T^{4} + 1975347 T^{5} + 22887955 T^{6} + 234448440 T^{7} + 2202874636 T^{8} + 18521426760 T^{9} + 142843727155 T^{10} + 973923109533 T^{11} + 6062969608460 T^{12} + 32198318159136 T^{13} + 149741872600936 T^{14} + 518505542626293 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 27 T + 616 T^{2} - 10464 T^{3} + 155660 T^{4} - 1975347 T^{5} + 22887955 T^{6} - 234448440 T^{7} + 2202874636 T^{8} - 18521426760 T^{9} + 142843727155 T^{10} - 973923109533 T^{11} + 6062969608460 T^{12} - 32198318159136 T^{13} + 149741872600936 T^{14} - 518505542626293 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 5 T + 83 T^{2} \))(\( 1 - 15 T + 83 T^{2} \))(\( 1 - 15 T + 83 T^{2} \))(\( 1 + T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 15 T + 83 T^{2} \))(\( 1 + 15 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 15 T + 83 T^{2} \))(\( 1 + 5 T + 83 T^{2} \))(\( 1 + 15 T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 + 8 T + 137 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 122 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 + 4 T - 10 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 122 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 199 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 + 24 T + 290 T^{2} + 1992 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 162 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 3 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( 1 + 3 T + 62 T^{2} + 249 T^{3} + 6889 T^{4} \))(\( 1 + 14 T + 194 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 + 49 T^{2} + 6889 T^{4} \))(\( 1 + 49 T^{2} + 6889 T^{4} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( 1 - 24 T + 290 T^{2} - 1992 T^{3} + 6889 T^{4} \))(\( 1 + 24 T + 290 T^{2} + 1992 T^{3} + 6889 T^{4} \))(\( 1 - 4 T - 10 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 - 18 T + 242 T^{2} - 1494 T^{3} + 6889 T^{4} \))(\( 1 - 24 T + 290 T^{2} - 1992 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 162 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 3 T + 83 T^{2} )^{2} \))(\( 1 - 3 T + 62 T^{2} - 249 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 122 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 199 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 4 T - 10 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 137 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 122 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 193 T^{2} + 1392 T^{3} + 16019 T^{4} + 55112 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 78 T^{2} + 64 T^{3} + 6474 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 18 T + 309 T^{2} + 3036 T^{3} + 25647 T^{4} + 124002 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 78 T^{2} - 64 T^{3} + 6474 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 117 T^{2} - 500 T^{3} + 9711 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 - 8 T + 193 T^{2} - 1392 T^{3} + 16019 T^{4} - 55112 T^{5} + 571787 T^{6} \))(\( 1 + 18 T + 400 T^{2} + 4404 T^{3} + 52635 T^{4} + 365532 T^{5} + 2755600 T^{6} + 10292166 T^{7} + 47458321 T^{8} \))(\( 1 + 6 T + 260 T^{2} + 1188 T^{3} + 30039 T^{4} + 98604 T^{5} + 1791140 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - T + 96 T^{2} - 1149 T^{3} + 4403 T^{4} - 95367 T^{5} + 661344 T^{6} - 571787 T^{7} + 47458321 T^{8} \))(\( 1 + 6 T + 212 T^{2} + 982 T^{3} + 24278 T^{4} + 81506 T^{5} + 1460468 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + 174 T^{2} + 19331 T^{4} + 1198686 T^{6} + 47458321 T^{8} \))(\( 1 + 174 T^{2} + 19331 T^{4} + 1198686 T^{6} + 47458321 T^{8} \))(\( 1 - 6 T + 212 T^{2} - 982 T^{3} + 24278 T^{4} - 81506 T^{5} + 1460468 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 18 T + 400 T^{2} - 4404 T^{3} + 52635 T^{4} - 365532 T^{5} + 2755600 T^{6} - 10292166 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T + 260 T^{2} - 1188 T^{3} + 30039 T^{4} - 98604 T^{5} + 1791140 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + T + 96 T^{2} + 1149 T^{3} + 4403 T^{4} + 95367 T^{5} + 661344 T^{6} + 571787 T^{7} + 47458321 T^{8} \))(\( 1 + 22 T + 540 T^{2} + 6988 T^{3} + 99116 T^{4} + 932526 T^{5} + 10112698 T^{6} + 77399658 T^{7} + 682810124 T^{8} + 3995647556 T^{9} + 25627493340 T^{10} + 86658894146 T^{11} + 326940373369 T^{12} \))(\( 1 + 262 T^{2} + 27815 T^{4} + 2144628 T^{6} + 191617535 T^{8} + 12434080102 T^{10} + 326940373369 T^{12} \))(\( 1 + 262 T^{2} + 27815 T^{4} + 2144628 T^{6} + 191617535 T^{8} + 12434080102 T^{10} + 326940373369 T^{12} \))(\( 1 - 22 T + 540 T^{2} - 6988 T^{3} + 99116 T^{4} - 932526 T^{5} + 10112698 T^{6} - 77399658 T^{7} + 682810124 T^{8} - 3995647556 T^{9} + 25627493340 T^{10} - 86658894146 T^{11} + 326940373369 T^{12} \))(\( 1 - 25 T + 786 T^{2} - 13983 T^{3} + 250863 T^{4} - 3398873 T^{5} + 43717402 T^{6} - 464690723 T^{7} + 4604658344 T^{8} - 38569330009 T^{9} + 301169182378 T^{10} - 1943431396051 T^{11} + 11905536781023 T^{12} - 55079605311069 T^{13} + 256975133468034 T^{14} - 678401274740675 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 488 T^{2} + 114220 T^{4} + 16682328 T^{6} + 1658691014 T^{8} + 114924557592 T^{10} + 5420689424620 T^{12} + 159546902204072 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 488 T^{2} + 114220 T^{4} + 16682328 T^{6} + 1658691014 T^{8} + 114924557592 T^{10} + 5420689424620 T^{12} + 159546902204072 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 25 T + 786 T^{2} + 13983 T^{3} + 250863 T^{4} + 3398873 T^{5} + 43717402 T^{6} + 464690723 T^{7} + 4604658344 T^{8} + 38569330009 T^{9} + 301169182378 T^{10} + 1943431396051 T^{11} + 11905536781023 T^{12} + 55079605311069 T^{13} + 256975133468034 T^{14} + 678401274740675 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 6 T + 490 T^{2} - 3578 T^{3} + 118805 T^{4} - 976848 T^{5} + 19084536 T^{6} - 164833504 T^{7} + 2271305170 T^{8} - 19148739052 T^{9} + 211320377724 T^{10} - 1589345341316 T^{11} + 15647021316130 T^{12} - 94249654751648 T^{13} + 905720035624056 T^{14} - 3847843974033264 T^{15} + 38842151058104045 T^{16} - 97092790440885406 T^{17} + 1103623193748130090 T^{18} - 1121641531605242418 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 6 T + 490 T^{2} + 3578 T^{3} + 118805 T^{4} + 976848 T^{5} + 19084536 T^{6} + 164833504 T^{7} + 2271305170 T^{8} + 19148739052 T^{9} + 211320377724 T^{10} + 1589345341316 T^{11} + 15647021316130 T^{12} + 94249654751648 T^{13} + 905720035624056 T^{14} + 3847843974033264 T^{15} + 38842151058104045 T^{16} + 97092790440885406 T^{17} + 1103623193748130090 T^{18} + 1121641531605242418 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 260 T^{2} + 54704 T^{4} + 7982020 T^{6} + 1013286620 T^{8} + 104330092020 T^{10} + 9478839943518 T^{12} + 718730003925780 T^{14} + 48088881676965020 T^{16} + 2609644599038825380 T^{18} + \)\(12\!\cdots\!64\)\( T^{20} + \)\(40\!\cdots\!40\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 260 T^{2} + 54704 T^{4} + 7982020 T^{6} + 1013286620 T^{8} + 104330092020 T^{10} + 9478839943518 T^{12} + 718730003925780 T^{14} + 48088881676965020 T^{16} + 2609644599038825380 T^{18} + \)\(12\!\cdots\!64\)\( T^{20} + \)\(40\!\cdots\!40\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 692 T^{2} + 253584 T^{4} + 63764956 T^{6} + 12182483532 T^{8} + 1863587574932 T^{10} + 235286312480688 T^{12} + 24958715395566236 T^{14} + 2245860181831703846 T^{16} + \)\(17\!\cdots\!04\)\( T^{18} + \)\(11\!\cdots\!48\)\( T^{20} + \)\(60\!\cdots\!08\)\( T^{22} + \)\(27\!\cdots\!12\)\( T^{24} + \)\(98\!\cdots\!44\)\( T^{26} + \)\(27\!\cdots\!24\)\( T^{28} + \)\(50\!\cdots\!68\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 692 T^{2} + 253584 T^{4} + 63764956 T^{6} + 12182483532 T^{8} + 1863587574932 T^{10} + 235286312480688 T^{12} + 24958715395566236 T^{14} + 2245860181831703846 T^{16} + \)\(17\!\cdots\!04\)\( T^{18} + \)\(11\!\cdots\!48\)\( T^{20} + \)\(60\!\cdots\!08\)\( T^{22} + \)\(27\!\cdots\!12\)\( T^{24} + \)\(98\!\cdots\!44\)\( T^{26} + \)\(27\!\cdots\!24\)\( T^{28} + \)\(50\!\cdots\!68\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 + 3 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 7 T + 179 T^{2} + 623 T^{3} + 7921 T^{4} \))(\( 1 + 21 T + 227 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( 1 - 9 T + 167 T^{2} - 801 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 139 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 + 8 T + 174 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 13 T + 159 T^{2} - 1157 T^{3} + 7921 T^{4} \))(\( 1 - 15 T + 233 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 + 158 T^{2} + 7921 T^{4} \))(\( 1 + 3 T - 83 T^{2} + 267 T^{3} + 7921 T^{4} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( 1 - 6 T + 119 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 94 T^{2} + 7921 T^{4} \))(\( 1 + 61 T^{2} + 7921 T^{4} \))(\( 1 + 61 T^{2} + 7921 T^{4} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( 1 + 9 T + 197 T^{2} + 801 T^{3} + 7921 T^{4} \))(\( 1 + 9 T + 197 T^{2} + 801 T^{3} + 7921 T^{4} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( 1 + 158 T^{2} + 7921 T^{4} \))(\( 1 + 8 T + 174 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 13 T + 159 T^{2} - 1157 T^{3} + 7921 T^{4} \))(\( 1 - 15 T + 233 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 + 158 T^{2} + 7921 T^{4} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( 1 + 3 T - 83 T^{2} + 267 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 119 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 9 T + 167 T^{2} - 801 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 139 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( 1 + 7 T + 179 T^{2} + 623 T^{3} + 7921 T^{4} \))(\( 1 + 21 T + 227 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 - 21 T + 371 T^{2} - 3838 T^{3} + 33019 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 - T + 188 T^{2} - 251 T^{3} + 16732 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 + 18 T + 183 T^{2} + 1308 T^{3} + 16287 T^{4} + 142578 T^{5} + 704969 T^{6} \))(\( 1 - T + 188 T^{2} - 251 T^{3} + 16732 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 + 26 T + 407 T^{2} + 4300 T^{3} + 36223 T^{4} + 205946 T^{5} + 704969 T^{6} \))(\( 1 - 21 T + 371 T^{2} - 3838 T^{3} + 33019 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 - 14 T + 244 T^{2} - 2764 T^{3} + 32067 T^{4} - 245996 T^{5} + 1932724 T^{6} - 9869566 T^{7} + 62742241 T^{8} \))(\( 1 + 18 T + 352 T^{2} + 4068 T^{3} + 48255 T^{4} + 362052 T^{5} + 2788192 T^{6} + 12689442 T^{7} + 62742241 T^{8} \))(\( 1 - 17 T + 312 T^{2} - 3419 T^{3} + 38939 T^{4} - 304291 T^{5} + 2471352 T^{6} - 11984473 T^{7} + 62742241 T^{8} \))(\( 1 - 16 T + 308 T^{2} - 3096 T^{3} + 38678 T^{4} - 275544 T^{5} + 2439668 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 198 T^{2} + 23627 T^{4} + 1568358 T^{6} + 62742241 T^{8} \))(\( 1 + 198 T^{2} + 23627 T^{4} + 1568358 T^{6} + 62742241 T^{8} \))(\( 1 - 16 T + 308 T^{2} - 3096 T^{3} + 38678 T^{4} - 275544 T^{5} + 2439668 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( 1 - 14 T + 244 T^{2} - 2764 T^{3} + 32067 T^{4} - 245996 T^{5} + 1932724 T^{6} - 9869566 T^{7} + 62742241 T^{8} \))(\( 1 + 18 T + 352 T^{2} + 4068 T^{3} + 48255 T^{4} + 362052 T^{5} + 2788192 T^{6} + 12689442 T^{7} + 62742241 T^{8} \))(\( 1 - 17 T + 312 T^{2} - 3419 T^{3} + 38939 T^{4} - 304291 T^{5} + 2471352 T^{6} - 11984473 T^{7} + 62742241 T^{8} \))(\( 1 + 280 T^{2} - 1400 T^{3} + 32241 T^{4} - 335650 T^{5} + 2775213 T^{6} - 29872850 T^{7} + 255380961 T^{8} - 986956600 T^{9} + 17567827480 T^{10} + 496981290961 T^{12} \))(\( 1 + 430 T^{2} + 85071 T^{4} + 9709540 T^{6} + 673847391 T^{8} + 26979163630 T^{10} + 496981290961 T^{12} \))(\( 1 + 430 T^{2} + 85071 T^{4} + 9709540 T^{6} + 673847391 T^{8} + 26979163630 T^{10} + 496981290961 T^{12} \))(\( 1 + 280 T^{2} - 1400 T^{3} + 32241 T^{4} - 335650 T^{5} + 2775213 T^{6} - 29872850 T^{7} + 255380961 T^{8} - 986956600 T^{9} + 17567827480 T^{10} + 496981290961 T^{12} \))(\( 1 + 37 T + 1032 T^{2} + 20901 T^{3} + 357823 T^{4} + 5152639 T^{5} + 65606528 T^{6} + 731972999 T^{7} + 7339853952 T^{8} + 65145596911 T^{9} + 519669308288 T^{10} + 3632450763191 T^{11} + 22450616901343 T^{12} + 116712426543549 T^{13} + 512884692271752 T^{14} + 1636559391134573 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 188 T^{2} + 20573 T^{4} + 1044676 T^{6} + 71173405 T^{8} + 8274878596 T^{10} + 1290796124093 T^{12} + 93432482700668 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 188 T^{2} + 20573 T^{4} + 1044676 T^{6} + 71173405 T^{8} + 8274878596 T^{10} + 1290796124093 T^{12} + 93432482700668 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 37 T + 1032 T^{2} + 20901 T^{3} + 357823 T^{4} + 5152639 T^{5} + 65606528 T^{6} + 731972999 T^{7} + 7339853952 T^{8} + 65145596911 T^{9} + 519669308288 T^{10} + 3632450763191 T^{11} + 22450616901343 T^{12} + 116712426543549 T^{13} + 512884692271752 T^{14} + 1636559391134573 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 9 T + 640 T^{2} - 4050 T^{3} + 178355 T^{4} - 698876 T^{5} + 29313265 T^{6} - 51732294 T^{7} + 3369419368 T^{8} - 1036172651 T^{9} + 317703552166 T^{10} - 92219365939 T^{11} + 26689170813928 T^{12} - 36469663568886 T^{13} + 1839179937126865 T^{14} - 3902565131479324 T^{15} + 88639098149349155 T^{16} - 179136906326892450 T^{17} + 2519416835649331840 T^{18} - 3153207633367366881 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 9 T + 640 T^{2} - 4050 T^{3} + 178355 T^{4} - 698876 T^{5} + 29313265 T^{6} - 51732294 T^{7} + 3369419368 T^{8} - 1036172651 T^{9} + 317703552166 T^{10} - 92219365939 T^{11} + 26689170813928 T^{12} - 36469663568886 T^{13} + 1839179937126865 T^{14} - 3902565131479324 T^{15} + 88639098149349155 T^{16} - 179136906326892450 T^{17} + 2519416835649331840 T^{18} - 3153207633367366881 T^{19} + 31181719929966183601 T^{20} \))(\( 1 + 422 T^{2} + 99085 T^{4} + 17225714 T^{6} + 2365521806 T^{8} + 269042562326 T^{10} + 25988928108833 T^{12} + 2131086136184246 T^{14} + 148418139242807246 T^{16} + 8560857581444971154 T^{18} + \)\(39\!\cdots\!85\)\( T^{20} + \)\(13\!\cdots\!22\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 422 T^{2} + 99085 T^{4} + 17225714 T^{6} + 2365521806 T^{8} + 269042562326 T^{10} + 25988928108833 T^{12} + 2131086136184246 T^{14} + 148418139242807246 T^{16} + 8560857581444971154 T^{18} + \)\(39\!\cdots\!85\)\( T^{20} + \)\(13\!\cdots\!22\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 656 T^{2} + 226181 T^{4} + 53166932 T^{6} + 9489558447 T^{8} + 1367605904636 T^{10} + 166086358267207 T^{12} + 17553705254600032 T^{14} + 1650023239040136456 T^{16} + \)\(13\!\cdots\!72\)\( T^{18} + \)\(10\!\cdots\!87\)\( T^{20} + \)\(67\!\cdots\!96\)\( T^{22} + \)\(37\!\cdots\!07\)\( T^{24} + \)\(16\!\cdots\!32\)\( T^{26} + \)\(55\!\cdots\!01\)\( T^{28} + \)\(12\!\cdots\!96\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 656 T^{2} + 226181 T^{4} + 53166932 T^{6} + 9489558447 T^{8} + 1367605904636 T^{10} + 166086358267207 T^{12} + 17553705254600032 T^{14} + 1650023239040136456 T^{16} + \)\(13\!\cdots\!72\)\( T^{18} + \)\(10\!\cdots\!87\)\( T^{20} + \)\(67\!\cdots\!96\)\( T^{22} + \)\(37\!\cdots\!07\)\( T^{24} + \)\(16\!\cdots\!32\)\( T^{26} + \)\(55\!\cdots\!01\)\( T^{28} + \)\(12\!\cdots\!96\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 4 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 19 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 5 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 19 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( 1 + 6 T + 23 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 216 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 24 T + 293 T^{2} + 2328 T^{3} + 9409 T^{4} \))(\( ( 1 + 17 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( 1 + 181 T^{2} + 9409 T^{4} \))(\( 1 + 12 T + 178 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 15 T + 212 T^{2} - 1455 T^{3} + 9409 T^{4} \))(\( 1 + 14 T + 222 T^{2} + 1358 T^{3} + 9409 T^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( 1 - 8 T + 30 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 158 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 24 T + 293 T^{2} + 2328 T^{3} + 9409 T^{4} \))(\( ( 1 + 17 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( 1 + 12 T + 178 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 + 181 T^{2} + 9409 T^{4} \))(\( 1 - 15 T + 212 T^{2} - 1455 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 216 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( 1 + 6 T + 23 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( 1 + 11 T + 259 T^{2} + 1682 T^{3} + 25123 T^{4} + 103499 T^{5} + 912673 T^{6} \))(\( 1 + 25 T + 315 T^{2} + 2968 T^{3} + 30555 T^{4} + 235225 T^{5} + 912673 T^{6} \))(\( 1 - 24 T + 435 T^{2} - 4664 T^{3} + 42195 T^{4} - 225816 T^{5} + 912673 T^{6} \))(\( 1 + 25 T + 315 T^{2} + 2968 T^{3} + 30555 T^{4} + 235225 T^{5} + 912673 T^{6} \))(\( 1 + 4 T + 171 T^{2} + 544 T^{3} + 16587 T^{4} + 37636 T^{5} + 912673 T^{6} \))(\( 1 + 11 T + 259 T^{2} + 1682 T^{3} + 25123 T^{4} + 103499 T^{5} + 912673 T^{6} \))(\( 1 - 38 T + 844 T^{2} - 12458 T^{3} + 140980 T^{4} - 1208426 T^{5} + 7941196 T^{6} - 34681574 T^{7} + 88529281 T^{8} \))(\( 1 + 10 T + 388 T^{2} + 2758 T^{3} + 56428 T^{4} + 267526 T^{5} + 3650692 T^{6} + 9126730 T^{7} + 88529281 T^{8} \))(\( 1 + 15 T + 278 T^{2} + 2415 T^{3} + 30889 T^{4} + 234255 T^{5} + 2615702 T^{6} + 13690095 T^{7} + 88529281 T^{8} \))(\( 1 - 32 T + 656 T^{2} - 8944 T^{3} + 99982 T^{4} - 867568 T^{5} + 6172304 T^{6} - 29205536 T^{7} + 88529281 T^{8} \))(\( ( 1 - 8 T + 84 T^{2} - 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 8 T + 84 T^{2} - 776 T^{3} + 9409 T^{4} )^{2} \))(\( 1 - 32 T + 656 T^{2} - 8944 T^{3} + 99982 T^{4} - 867568 T^{5} + 6172304 T^{6} - 29205536 T^{7} + 88529281 T^{8} \))(\( 1 - 38 T + 844 T^{2} - 12458 T^{3} + 140980 T^{4} - 1208426 T^{5} + 7941196 T^{6} - 34681574 T^{7} + 88529281 T^{8} \))(\( 1 + 10 T + 388 T^{2} + 2758 T^{3} + 56428 T^{4} + 267526 T^{5} + 3650692 T^{6} + 9126730 T^{7} + 88529281 T^{8} \))(\( 1 + 15 T + 278 T^{2} + 2415 T^{3} + 30889 T^{4} + 234255 T^{5} + 2615702 T^{6} + 13690095 T^{7} + 88529281 T^{8} \))(\( 1 + 4 T + 429 T^{2} + 1520 T^{3} + 87938 T^{4} + 265044 T^{5} + 10749637 T^{6} + 25709268 T^{7} + 827408642 T^{8} + 1387262960 T^{9} + 37979061549 T^{10} + 34349361028 T^{11} + 832972004929 T^{12} \))(\( ( 1 + 8 T + 235 T^{2} + 1112 T^{3} + 22795 T^{4} + 75272 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 8 T + 235 T^{2} + 1112 T^{3} + 22795 T^{4} + 75272 T^{5} + 912673 T^{6} )^{2} \))(\( 1 + 4 T + 429 T^{2} + 1520 T^{3} + 87938 T^{4} + 265044 T^{5} + 10749637 T^{6} + 25709268 T^{7} + 827408642 T^{8} + 1387262960 T^{9} + 37979061549 T^{10} + 34349361028 T^{11} + 832972004929 T^{12} \))(\( 1 - 15 T + 554 T^{2} - 7041 T^{3} + 141913 T^{4} - 1604409 T^{5} + 23035698 T^{6} - 230491951 T^{7} + 2630434004 T^{8} - 22357719247 T^{9} + 216742882482 T^{10} - 1464300775257 T^{11} + 12563455854553 T^{12} - 60463462749537 T^{13} + 461466490730666 T^{14} - 1211974267171695 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 24 T + 455 T^{2} + 5400 T^{3} + 61708 T^{4} + 523800 T^{5} + 4281095 T^{6} + 21904152 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 24 T + 455 T^{2} + 5400 T^{3} + 61708 T^{4} + 523800 T^{5} + 4281095 T^{6} + 21904152 T^{7} + 88529281 T^{8} )^{2} \))(\( 1 - 15 T + 554 T^{2} - 7041 T^{3} + 141913 T^{4} - 1604409 T^{5} + 23035698 T^{6} - 230491951 T^{7} + 2630434004 T^{8} - 22357719247 T^{9} + 216742882482 T^{10} - 1464300775257 T^{11} + 12563455854553 T^{12} - 60463462749537 T^{13} + 461466490730666 T^{14} - 1211974267171695 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 24 T + 1069 T^{2} - 19604 T^{3} + 490777 T^{4} - 7233428 T^{5} + 130302052 T^{6} - 1582958620 T^{7} + 22393814246 T^{8} - 226465922980 T^{9} + 2616113341790 T^{10} - 21967194529060 T^{11} + 210703398240614 T^{12} - 1444723592591260 T^{13} + 11535546976384612 T^{14} - 62115907460510996 T^{15} + 408803501663039833 T^{16} - 1583969568908927252 T^{17} + 8378216512388971309 T^{18} - 18245545407709565208 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 24 T + 1069 T^{2} - 19604 T^{3} + 490777 T^{4} - 7233428 T^{5} + 130302052 T^{6} - 1582958620 T^{7} + 22393814246 T^{8} - 226465922980 T^{9} + 2616113341790 T^{10} - 21967194529060 T^{11} + 210703398240614 T^{12} - 1444723592591260 T^{13} + 11535546976384612 T^{14} - 62115907460510996 T^{15} + 408803501663039833 T^{16} - 1583969568908927252 T^{17} + 8378216512388971309 T^{18} - 18245545407709565208 T^{19} + 73742412689492826049 T^{20} \))(\( ( 1 + 16 T + 459 T^{2} + 3698 T^{3} + 62861 T^{4} + 231678 T^{5} + 5290852 T^{6} + 22472766 T^{7} + 591459149 T^{8} + 3375064754 T^{9} + 40634939979 T^{10} + 137397444112 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 + 16 T + 459 T^{2} + 3698 T^{3} + 62861 T^{4} + 231678 T^{5} + 5290852 T^{6} + 22472766 T^{7} + 591459149 T^{8} + 3375064754 T^{9} + 40634939979 T^{10} + 137397444112 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 54 T + 1829 T^{2} - 44646 T^{3} + 872014 T^{4} - 14158746 T^{5} + 196508043 T^{6} - 2365703818 T^{7} + 24885324098 T^{8} - 229473270346 T^{9} + 1848944176587 T^{10} - 12922305188058 T^{11} + 77198772441934 T^{12} - 383390393114022 T^{13} + 1523505797015141 T^{14} - 4363107361818102 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 54 T + 1829 T^{2} - 44646 T^{3} + 872014 T^{4} - 14158746 T^{5} + 196508043 T^{6} - 2365703818 T^{7} + 24885324098 T^{8} - 229473270346 T^{9} + 1848944176587 T^{10} - 12922305188058 T^{11} + 77198772441934 T^{12} - 383390393114022 T^{13} + 1523505797015141 T^{14} - 4363107361818102 T^{15} + 7837433594376961 T^{16} )^{2} \))
show more
show less