Properties

Label 6045.2
Level 6045
Weight 2
Dimension 870817
Nonzero newspaces 200
Sturm bound 5160960

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Defining parameters

Level: \( N \) = \( 6045 = 3 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 200 \)
Sturm bound: \(5160960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6045))\).

Total New Old
Modular forms 1301760 878481 423279
Cusp forms 1278721 870817 407904
Eisenstein series 23039 7664 15375

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6045))\)

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
6045.2.a \(\chi_{6045}(1, \cdot)\) 6045.2.a.a 1 1
6045.2.a.b 1
6045.2.a.c 1
6045.2.a.d 1
6045.2.a.e 1
6045.2.a.f 1
6045.2.a.g 1
6045.2.a.h 1
6045.2.a.i 1
6045.2.a.j 1
6045.2.a.k 1
6045.2.a.l 1
6045.2.a.m 2
6045.2.a.n 2
6045.2.a.o 2
6045.2.a.p 2
6045.2.a.q 3
6045.2.a.r 3
6045.2.a.s 5
6045.2.a.t 9
6045.2.a.u 9
6045.2.a.v 10
6045.2.a.w 11
6045.2.a.x 12
6045.2.a.y 12
6045.2.a.z 12
6045.2.a.ba 13
6045.2.a.bb 13
6045.2.a.bc 14
6045.2.a.bd 14
6045.2.a.be 15
6045.2.a.bf 15
6045.2.a.bg 16
6045.2.a.bh 17
6045.2.a.bi 18
6045.2.b \(\chi_{6045}(2326, \cdot)\) n/a 280 1
6045.2.e \(\chi_{6045}(2419, \cdot)\) n/a 360 1
6045.2.f \(\chi_{6045}(6044, \cdot)\) n/a 888 1
6045.2.i \(\chi_{6045}(1301, \cdot)\) n/a 512 1
6045.2.j \(\chi_{6045}(3626, \cdot)\) n/a 600 1
6045.2.m \(\chi_{6045}(3719, \cdot)\) n/a 768 1
6045.2.n \(\chi_{6045}(4744, \cdot)\) n/a 416 1
6045.2.q \(\chi_{6045}(3136, \cdot)\) n/a 596 2
6045.2.r \(\chi_{6045}(2791, \cdot)\) n/a 560 2
6045.2.s \(\chi_{6045}(211, \cdot)\) n/a 596 2
6045.2.t \(\chi_{6045}(2536, \cdot)\) n/a 512 2
6045.2.u \(\chi_{6045}(1487, \cdot)\) n/a 1776 2
6045.2.w \(\chi_{6045}(5023, \cdot)\) n/a 840 2
6045.2.y \(\chi_{6045}(898, \cdot)\) n/a 768 2
6045.2.ba \(\chi_{6045}(1613, \cdot)\) n/a 1440 2
6045.2.bc \(\chi_{6045}(1334, \cdot)\) n/a 1680 2
6045.2.be \(\chi_{6045}(4961, \cdot)\) n/a 1120 2
6045.2.bg \(\chi_{6045}(619, \cdot)\) n/a 896 2
6045.2.bi \(\chi_{6045}(4246, \cdot)\) n/a 592 2
6045.2.bl \(\chi_{6045}(3223, \cdot)\) n/a 896 2
6045.2.bn \(\chi_{6045}(3938, \cdot)\) n/a 1680 2
6045.2.bo \(\chi_{6045}(187, \cdot)\) n/a 840 2
6045.2.bq \(\chi_{6045}(278, \cdot)\) n/a 1776 2
6045.2.bs \(\chi_{6045}(1366, \cdot)\) n/a 1024 4
6045.2.bt \(\chi_{6045}(1886, \cdot)\) n/a 1024 2
6045.2.bw \(\chi_{6045}(584, \cdot)\) n/a 1776 2
6045.2.bx \(\chi_{6045}(1834, \cdot)\) n/a 768 2
6045.2.ca \(\chi_{6045}(1741, \cdot)\) n/a 600 2
6045.2.cb \(\chi_{6045}(1421, \cdot)\) n/a 1196 2
6045.2.ce \(\chi_{6045}(1049, \cdot)\) n/a 1776 2
6045.2.ci \(\chi_{6045}(439, \cdot)\) n/a 896 2
6045.2.ck \(\chi_{6045}(1024, \cdot)\) n/a 832 2
6045.2.cl \(\chi_{6045}(464, \cdot)\) n/a 1776 2
6045.2.cn \(\chi_{6045}(1979, \cdot)\) n/a 1776 2
6045.2.cq \(\chi_{6045}(836, \cdot)\) n/a 1192 2
6045.2.cs \(\chi_{6045}(491, \cdot)\) n/a 1196 2
6045.2.ct \(\chi_{6045}(1369, \cdot)\) n/a 896 2
6045.2.cw \(\chi_{6045}(1141, \cdot)\) n/a 596 2
6045.2.cz \(\chi_{6045}(2629, \cdot)\) n/a 896 2
6045.2.da \(\chi_{6045}(4091, \cdot)\) n/a 1192 2
6045.2.dc \(\chi_{6045}(1556, \cdot)\) n/a 1196 2
6045.2.df \(\chi_{6045}(2324, \cdot)\) n/a 1776 2
6045.2.dh \(\chi_{6045}(719, \cdot)\) n/a 1776 2
6045.2.di \(\chi_{6045}(1699, \cdot)\) n/a 896 2
6045.2.dk \(\chi_{6045}(94, \cdot)\) n/a 848 2
6045.2.dn \(\chi_{6045}(2071, \cdot)\) n/a 596 2
6045.2.dp \(\chi_{6045}(4651, \cdot)\) n/a 560 2
6045.2.dq \(\chi_{6045}(3839, \cdot)\) n/a 1776 2
6045.2.dt \(\chi_{6045}(2486, \cdot)\) n/a 1196 2
6045.2.dw \(\chi_{6045}(1234, \cdot)\) n/a 896 2
6045.2.dx \(\chi_{6045}(1184, \cdot)\) n/a 1536 2
6045.2.ea \(\chi_{6045}(1091, \cdot)\) n/a 1192 2
6045.2.ed \(\chi_{6045}(64, \cdot)\) n/a 1792 4
6045.2.ee \(\chi_{6045}(209, \cdot)\) n/a 3072 4
6045.2.eh \(\chi_{6045}(116, \cdot)\) n/a 2400 4
6045.2.ei \(\chi_{6045}(3251, \cdot)\) n/a 2048 4
6045.2.el \(\chi_{6045}(1949, \cdot)\) n/a 3552 4
6045.2.em \(\chi_{6045}(469, \cdot)\) n/a 1536 4
6045.2.ep \(\chi_{6045}(376, \cdot)\) n/a 1184 4
6045.2.eq \(\chi_{6045}(1513, \cdot)\) n/a 1792 4
6045.2.es \(\chi_{6045}(398, \cdot)\) n/a 3552 4
6045.2.ev \(\chi_{6045}(583, \cdot)\) n/a 1792 4
6045.2.ex \(\chi_{6045}(1142, \cdot)\) n/a 3552 4
6045.2.ez \(\chi_{6045}(557, \cdot)\) n/a 3552 4
6045.2.fb \(\chi_{6045}(652, \cdot)\) n/a 1680 4
6045.2.fd \(\chi_{6045}(67, \cdot)\) n/a 1792 4
6045.2.ff \(\chi_{6045}(2723, \cdot)\) n/a 3552 4
6045.2.fg \(\chi_{6045}(428, \cdot)\) n/a 3552 4
6045.2.fi \(\chi_{6045}(688, \cdot)\) n/a 1792 4
6045.2.fk \(\chi_{6045}(1711, \cdot)\) n/a 1200 4
6045.2.fm \(\chi_{6045}(1204, \cdot)\) n/a 1792 4
6045.2.fo \(\chi_{6045}(1451, \cdot)\) n/a 2384 4
6045.2.fq \(\chi_{6045}(749, \cdot)\) n/a 3552 4
6045.2.ft \(\chi_{6045}(1028, \cdot)\) n/a 3072 4
6045.2.fv \(\chi_{6045}(1483, \cdot)\) n/a 1536 4
6045.2.fw \(\chi_{6045}(1823, \cdot)\) n/a 3552 4
6045.2.fy \(\chi_{6045}(2083, \cdot)\) n/a 1792 4
6045.2.ga \(\chi_{6045}(433, \cdot)\) n/a 1792 4
6045.2.gc \(\chi_{6045}(842, \cdot)\) n/a 3552 4
6045.2.ge \(\chi_{6045}(88, \cdot)\) n/a 1792 4
6045.2.gg \(\chi_{6045}(218, \cdot)\) n/a 3360 4
6045.2.gj \(\chi_{6045}(1241, \cdot)\) n/a 2240 4
6045.2.gl \(\chi_{6045}(869, \cdot)\) n/a 3360 4
6045.2.gn \(\chi_{6045}(3529, \cdot)\) n/a 1792 4
6045.2.gp \(\chi_{6045}(4036, \cdot)\) n/a 1192 4
6045.2.gr \(\chi_{6045}(409, \cdot)\) n/a 1792 4
6045.2.gt \(\chi_{6045}(1111, \cdot)\) n/a 1192 4
6045.2.gv \(\chi_{6045}(3074, \cdot)\) n/a 3552 4
6045.2.gx \(\chi_{6045}(3776, \cdot)\) n/a 2392 4
6045.2.gz \(\chi_{6045}(149, \cdot)\) n/a 3552 4
6045.2.hb \(\chi_{6045}(656, \cdot)\) n/a 2392 4
6045.2.hd \(\chi_{6045}(526, \cdot)\) n/a 1200 4
6045.2.hf \(\chi_{6045}(154, \cdot)\) n/a 1792 4
6045.2.hh \(\chi_{6045}(3688, \cdot)\) n/a 1792 4
6045.2.hj \(\chi_{6045}(893, \cdot)\) n/a 3552 4
6045.2.hl \(\chi_{6045}(367, \cdot)\) n/a 1792 4
6045.2.hn \(\chi_{6045}(497, \cdot)\) n/a 3360 4
6045.2.hp \(\chi_{6045}(563, \cdot)\) n/a 3552 4
6045.2.hr \(\chi_{6045}(1018, \cdot)\) n/a 1792 4
6045.2.ht \(\chi_{6045}(2858, \cdot)\) n/a 3552 4
6045.2.hv \(\chi_{6045}(838, \cdot)\) n/a 1680 4
6045.2.hx \(\chi_{6045}(397, \cdot)\) n/a 1792 4
6045.2.hz \(\chi_{6045}(812, \cdot)\) n/a 3552 4
6045.2.ib \(\chi_{6045}(1952, \cdot)\) n/a 3552 4
6045.2.id \(\chi_{6045}(253, \cdot)\) n/a 1792 4
6045.2.ie \(\chi_{6045}(863, \cdot)\) n/a 3552 4
6045.2.ig \(\chi_{6045}(1048, \cdot)\) n/a 1792 4
6045.2.ii \(\chi_{6045}(196, \cdot)\) n/a 2048 8
6045.2.ij \(\chi_{6045}(1621, \cdot)\) n/a 2384 8
6045.2.ik \(\chi_{6045}(16, \cdot)\) n/a 2400 8
6045.2.il \(\chi_{6045}(2401, \cdot)\) n/a 2384 8
6045.2.in \(\chi_{6045}(2228, \cdot)\) n/a 7104 8
6045.2.ip \(\chi_{6045}(853, \cdot)\) n/a 3584 8
6045.2.iq \(\chi_{6045}(233, \cdot)\) n/a 7104 8
6045.2.is \(\chi_{6045}(337, \cdot)\) n/a 3584 8
6045.2.iv \(\chi_{6045}(151, \cdot)\) n/a 2368 8
6045.2.ix \(\chi_{6045}(2569, \cdot)\) n/a 3584 8
6045.2.iz \(\chi_{6045}(281, \cdot)\) n/a 4800 8
6045.2.jb \(\chi_{6045}(2699, \cdot)\) n/a 7104 8
6045.2.jd \(\chi_{6045}(287, \cdot)\) n/a 6144 8
6045.2.jf \(\chi_{6045}(742, \cdot)\) n/a 3072 8
6045.2.jh \(\chi_{6045}(343, \cdot)\) n/a 3584 8
6045.2.jj \(\chi_{6045}(122, \cdot)\) n/a 7104 8
6045.2.jk \(\chi_{6045}(1481, \cdot)\) n/a 4768 8
6045.2.jn \(\chi_{6045}(1574, \cdot)\) n/a 6144 8
6045.2.jo \(\chi_{6045}(454, \cdot)\) n/a 3584 8
6045.2.jr \(\chi_{6045}(2336, \cdot)\) n/a 4784 8
6045.2.ju \(\chi_{6045}(179, \cdot)\) n/a 7104 8
6045.2.jv \(\chi_{6045}(901, \cdot)\) n/a 2400 8
6045.2.jx \(\chi_{6045}(121, \cdot)\) n/a 2384 8
6045.2.ka \(\chi_{6045}(529, \cdot)\) n/a 3584 8
6045.2.kc \(\chi_{6045}(289, \cdot)\) n/a 3584 8
6045.2.kd \(\chi_{6045}(569, \cdot)\) n/a 7104 8
6045.2.kf \(\chi_{6045}(914, \cdot)\) n/a 7104 8
6045.2.ki \(\chi_{6045}(146, \cdot)\) n/a 4784 8
6045.2.kk \(\chi_{6045}(581, \cdot)\) n/a 4768 8
6045.2.kl \(\chi_{6045}(484, \cdot)\) n/a 3584 8
6045.2.ko \(\chi_{6045}(751, \cdot)\) n/a 2384 8
6045.2.kr \(\chi_{6045}(634, \cdot)\) n/a 3584 8
6045.2.ks \(\chi_{6045}(251, \cdot)\) n/a 4784 8
6045.2.ku \(\chi_{6045}(1856, \cdot)\) n/a 4768 8
6045.2.kx \(\chi_{6045}(74, \cdot)\) n/a 7104 8
6045.2.kz \(\chi_{6045}(29, \cdot)\) n/a 7104 8
6045.2.la \(\chi_{6045}(4, \cdot)\) n/a 3584 8
6045.2.lc \(\chi_{6045}(49, \cdot)\) n/a 3584 8
6045.2.lg \(\chi_{6045}(269, \cdot)\) n/a 7104 8
6045.2.lj \(\chi_{6045}(296, \cdot)\) n/a 4784 8
6045.2.lk \(\chi_{6045}(1156, \cdot)\) n/a 2400 8
6045.2.ln \(\chi_{6045}(1249, \cdot)\) n/a 3072 8
6045.2.lo \(\chi_{6045}(389, \cdot)\) n/a 7104 8
6045.2.lr \(\chi_{6045}(716, \cdot)\) n/a 4096 8
6045.2.lt \(\chi_{6045}(268, \cdot)\) n/a 7168 16
6045.2.lv \(\chi_{6045}(83, \cdot)\) n/a 14208 16
6045.2.lw \(\chi_{6045}(28, \cdot)\) n/a 7168 16
6045.2.ly \(\chi_{6045}(488, \cdot)\) n/a 14208 16
6045.2.ma \(\chi_{6045}(197, \cdot)\) n/a 14208 16
6045.2.mc \(\chi_{6045}(7, \cdot)\) n/a 7168 16
6045.2.me \(\chi_{6045}(202, \cdot)\) n/a 7168 16
6045.2.mg \(\chi_{6045}(1367, \cdot)\) n/a 14208 16
6045.2.mi \(\chi_{6045}(127, \cdot)\) n/a 7168 16
6045.2.mk \(\chi_{6045}(173, \cdot)\) n/a 14208 16
6045.2.mm \(\chi_{6045}(653, \cdot)\) n/a 14208 16
6045.2.mo \(\chi_{6045}(757, \cdot)\) n/a 7168 16
6045.2.mq \(\chi_{6045}(152, \cdot)\) n/a 14208 16
6045.2.ms \(\chi_{6045}(178, \cdot)\) n/a 7168 16
6045.2.mu \(\chi_{6045}(184, \cdot)\) n/a 7168 16
6045.2.mw \(\chi_{6045}(46, \cdot)\) n/a 4800 16
6045.2.my \(\chi_{6045}(71, \cdot)\) n/a 9568 16
6045.2.na \(\chi_{6045}(59, \cdot)\) n/a 14208 16
6045.2.nc \(\chi_{6045}(41, \cdot)\) n/a 9568 16
6045.2.ne \(\chi_{6045}(479, \cdot)\) n/a 14208 16
6045.2.ng \(\chi_{6045}(331, \cdot)\) n/a 4768 16
6045.2.ni \(\chi_{6045}(799, \cdot)\) n/a 7168 16
6045.2.nk \(\chi_{6045}(106, \cdot)\) n/a 4768 16
6045.2.nm \(\chi_{6045}(544, \cdot)\) n/a 7168 16
6045.2.no \(\chi_{6045}(314, \cdot)\) n/a 14208 16
6045.2.nq \(\chi_{6045}(566, \cdot)\) n/a 9536 16
6045.2.nt \(\chi_{6045}(407, \cdot)\) n/a 14208 16
6045.2.nv \(\chi_{6045}(43, \cdot)\) n/a 7168 16
6045.2.nx \(\chi_{6045}(257, \cdot)\) n/a 14208 16
6045.2.nz \(\chi_{6045}(277, \cdot)\) n/a 7168 16
6045.2.ob \(\chi_{6045}(22, \cdot)\) n/a 7168 16
6045.2.od \(\chi_{6045}(107, \cdot)\) n/a 14208 16
6045.2.oe \(\chi_{6045}(313, \cdot)\) n/a 6144 16
6045.2.og \(\chi_{6045}(443, \cdot)\) n/a 12288 16
6045.2.oj \(\chi_{6045}(164, \cdot)\) n/a 14208 16
6045.2.ol \(\chi_{6045}(671, \cdot)\) n/a 9536 16
6045.2.on \(\chi_{6045}(34, \cdot)\) n/a 7168 16
6045.2.op \(\chi_{6045}(2101, \cdot)\) n/a 4800 16
6045.2.or \(\chi_{6045}(1078, \cdot)\) n/a 7168 16
6045.2.ot \(\chi_{6045}(38, \cdot)\) n/a 14208 16
6045.2.ou \(\chi_{6045}(137, \cdot)\) n/a 14208 16
6045.2.ow \(\chi_{6045}(847, \cdot)\) n/a 7168 16
6045.2.oy \(\chi_{6045}(97, \cdot)\) n/a 7168 16
6045.2.pa \(\chi_{6045}(773, \cdot)\) n/a 14208 16
6045.2.pc \(\chi_{6045}(362, \cdot)\) n/a 14208 16
6045.2.pe \(\chi_{6045}(193, \cdot)\) n/a 7168 16
6045.2.ph \(\chi_{6045}(203, \cdot)\) n/a 14208 16
6045.2.pj \(\chi_{6045}(112, \cdot)\) n/a 7168 16

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6045))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6045)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(31))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(93))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(155))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(195))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(403))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(465))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1209))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2015))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( ( 1 + 2 T + 2 T^{2} )^{2} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( 1 + T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} - 2 T^{3} + 4 T^{4} + 8 T^{6} \))(\( 1 - T + 2 T^{2} - 2 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 + 2 T^{2} - 2 T^{3} + 6 T^{4} + 12 T^{6} - 8 T^{7} + 16 T^{8} + 32 T^{10} \))(\( 1 + 6 T + 23 T^{2} + 69 T^{3} + 171 T^{4} + 367 T^{5} + 700 T^{6} + 1209 T^{7} + 1917 T^{8} + 2814 T^{9} + 3834 T^{10} + 4836 T^{11} + 5600 T^{12} + 5872 T^{13} + 5472 T^{14} + 4416 T^{15} + 2944 T^{16} + 1536 T^{17} + 512 T^{18} \))(\( 1 + 3 T + 11 T^{2} + 28 T^{3} + 66 T^{4} + 134 T^{5} + 257 T^{6} + 435 T^{7} + 700 T^{8} + 1021 T^{9} + 1400 T^{10} + 1740 T^{11} + 2056 T^{12} + 2144 T^{13} + 2112 T^{14} + 1792 T^{15} + 1408 T^{16} + 768 T^{17} + 512 T^{18} \))(\( 1 - 4 T + 8 T^{2} - 13 T^{3} + 26 T^{4} - 52 T^{5} + 85 T^{6} - 126 T^{7} + 201 T^{8} - 325 T^{9} + 483 T^{10} - 650 T^{11} + 804 T^{12} - 1008 T^{13} + 1360 T^{14} - 1664 T^{15} + 1664 T^{16} - 1664 T^{17} + 2048 T^{18} - 2048 T^{19} + 1024 T^{20} \))(\( 1 - 2 T + 7 T^{2} - 11 T^{3} + 31 T^{4} - 47 T^{5} + 102 T^{6} - 139 T^{7} + 283 T^{8} - 372 T^{9} + 668 T^{10} - 786 T^{11} + 1336 T^{12} - 1488 T^{13} + 2264 T^{14} - 2224 T^{15} + 3264 T^{16} - 3008 T^{17} + 3968 T^{18} - 2816 T^{19} + 3584 T^{20} - 2048 T^{21} + 2048 T^{22} \))(\( 1 + 4 T + 17 T^{2} + 45 T^{3} + 119 T^{4} + 247 T^{5} + 510 T^{6} + 897 T^{7} + 1579 T^{8} + 2474 T^{9} + 3920 T^{10} + 5670 T^{11} + 8358 T^{12} + 11340 T^{13} + 15680 T^{14} + 19792 T^{15} + 25264 T^{16} + 28704 T^{17} + 32640 T^{18} + 31616 T^{19} + 30464 T^{20} + 23040 T^{21} + 17408 T^{22} + 8192 T^{23} + 4096 T^{24} \))(\( 1 + 3 T + 9 T^{2} + 20 T^{3} + 42 T^{4} + 84 T^{5} + 159 T^{6} + 281 T^{7} + 486 T^{8} + 777 T^{9} + 1226 T^{10} + 1824 T^{11} + 2638 T^{12} + 3648 T^{13} + 4904 T^{14} + 6216 T^{15} + 7776 T^{16} + 8992 T^{17} + 10176 T^{18} + 10752 T^{19} + 10752 T^{20} + 10240 T^{21} + 9216 T^{22} + 6144 T^{23} + 4096 T^{24} \))(\( 1 + 9 T^{2} + T^{3} + 45 T^{4} + 9 T^{5} + 164 T^{6} + 45 T^{7} + 485 T^{8} + 158 T^{9} + 1206 T^{10} + 418 T^{11} + 2586 T^{12} + 836 T^{13} + 4824 T^{14} + 1264 T^{15} + 7760 T^{16} + 1440 T^{17} + 10496 T^{18} + 1152 T^{19} + 11520 T^{20} + 512 T^{21} + 9216 T^{22} + 4096 T^{24} \))(\( 1 + T + 9 T^{2} + 10 T^{3} + 44 T^{4} + 52 T^{5} + 157 T^{6} + 187 T^{7} + 458 T^{8} + 527 T^{9} + 1154 T^{10} + 1260 T^{11} + 2576 T^{12} + 2668 T^{13} + 5152 T^{14} + 5040 T^{15} + 9232 T^{16} + 8432 T^{17} + 14656 T^{18} + 11968 T^{19} + 20096 T^{20} + 13312 T^{21} + 22528 T^{22} + 10240 T^{23} + 18432 T^{24} + 4096 T^{25} + 8192 T^{26} \))(\( 1 - 3 T + 10 T^{2} - 23 T^{3} + 49 T^{4} - 94 T^{5} + 169 T^{6} - 289 T^{7} + 489 T^{8} - 760 T^{9} + 1192 T^{10} - 1739 T^{11} + 2524 T^{12} - 3586 T^{13} + 5048 T^{14} - 6956 T^{15} + 9536 T^{16} - 12160 T^{17} + 15648 T^{18} - 18496 T^{19} + 21632 T^{20} - 24064 T^{21} + 25088 T^{22} - 23552 T^{23} + 20480 T^{24} - 12288 T^{25} + 8192 T^{26} \))(\( 1 + 3 T + 11 T^{2} + 26 T^{3} + 60 T^{4} + 120 T^{5} + 229 T^{6} + 411 T^{7} + 712 T^{8} + 1177 T^{9} + 1918 T^{10} + 2980 T^{11} + 4604 T^{12} + 6770 T^{13} + 9820 T^{14} + 13540 T^{15} + 18416 T^{16} + 23840 T^{17} + 30688 T^{18} + 37664 T^{19} + 45568 T^{20} + 52608 T^{21} + 58624 T^{22} + 61440 T^{23} + 61440 T^{24} + 53248 T^{25} + 45056 T^{26} + 24576 T^{27} + 16384 T^{28} \))(\( 1 + 2 T + 10 T^{2} + 17 T^{3} + 52 T^{4} + 80 T^{5} + 193 T^{6} + 286 T^{7} + 591 T^{8} + 861 T^{9} + 1579 T^{10} + 2256 T^{11} + 3766 T^{12} + 5188 T^{13} + 8000 T^{14} + 10376 T^{15} + 15064 T^{16} + 18048 T^{17} + 25264 T^{18} + 27552 T^{19} + 37824 T^{20} + 36608 T^{21} + 49408 T^{22} + 40960 T^{23} + 53248 T^{24} + 34816 T^{25} + 40960 T^{26} + 16384 T^{27} + 16384 T^{28} \))(\( 1 + T + 9 T^{2} + 8 T^{3} + 44 T^{4} + 38 T^{5} + 159 T^{6} + 139 T^{7} + 476 T^{8} + 417 T^{9} + 1236 T^{10} + 1076 T^{11} + 2878 T^{12} + 2490 T^{13} + 6168 T^{14} + 5224 T^{15} + 12336 T^{16} + 9960 T^{17} + 23024 T^{18} + 17216 T^{19} + 39552 T^{20} + 26688 T^{21} + 60928 T^{22} + 35584 T^{23} + 81408 T^{24} + 38912 T^{25} + 90112 T^{26} + 32768 T^{27} + 73728 T^{28} + 16384 T^{29} + 32768 T^{30} \))(\( 1 + T + 8 T^{2} + 7 T^{3} + 35 T^{4} + 26 T^{5} + 109 T^{6} + 71 T^{7} + 283 T^{8} + 184 T^{9} + 668 T^{10} + 497 T^{11} + 1534 T^{12} + 1302 T^{13} + 3380 T^{14} + 2890 T^{15} + 6760 T^{16} + 5208 T^{17} + 12272 T^{18} + 7952 T^{19} + 21376 T^{20} + 11776 T^{21} + 36224 T^{22} + 18176 T^{23} + 55808 T^{24} + 26624 T^{25} + 71680 T^{26} + 28672 T^{27} + 65536 T^{28} + 16384 T^{29} + 32768 T^{30} \))(\( 1 + 2 T + 5 T^{2} + 9 T^{3} + 18 T^{4} + 31 T^{5} + 51 T^{6} + 64 T^{7} + 96 T^{8} + 111 T^{9} + 150 T^{10} + 143 T^{11} + 163 T^{12} + 154 T^{13} + 260 T^{14} + 150 T^{15} + 364 T^{16} + 300 T^{17} + 1040 T^{18} + 1232 T^{19} + 2608 T^{20} + 4576 T^{21} + 9600 T^{22} + 14208 T^{23} + 24576 T^{24} + 32768 T^{25} + 52224 T^{26} + 63488 T^{27} + 73728 T^{28} + 73728 T^{29} + 81920 T^{30} + 65536 T^{31} + 65536 T^{32} \))(\( 1 - 2 T + 9 T^{2} - 17 T^{3} + 46 T^{4} - 81 T^{5} + 173 T^{6} - 284 T^{7} + 540 T^{8} - 825 T^{9} + 1480 T^{10} - 2141 T^{11} + 3653 T^{12} - 5066 T^{13} + 8236 T^{14} - 11076 T^{15} + 17334 T^{16} - 22760 T^{17} + 34668 T^{18} - 44304 T^{19} + 65888 T^{20} - 81056 T^{21} + 116896 T^{22} - 137024 T^{23} + 189440 T^{24} - 211200 T^{25} + 276480 T^{26} - 290816 T^{27} + 354304 T^{28} - 331776 T^{29} + 376832 T^{30} - 278528 T^{31} + 294912 T^{32} - 131072 T^{33} + 131072 T^{34} \))(\( 1 - 4 T + 15 T^{2} - 39 T^{3} + 96 T^{4} - 201 T^{5} + 405 T^{6} - 748 T^{7} + 1354 T^{8} - 2315 T^{9} + 3902 T^{10} - 6339 T^{11} + 10185 T^{12} - 15974 T^{13} + 24676 T^{14} - 37372 T^{15} + 55506 T^{16} - 80804 T^{17} + 115336 T^{18} - 161608 T^{19} + 222024 T^{20} - 298976 T^{21} + 394816 T^{22} - 511168 T^{23} + 651840 T^{24} - 811392 T^{25} + 998912 T^{26} - 1185280 T^{27} + 1386496 T^{28} - 1531904 T^{29} + 1658880 T^{30} - 1646592 T^{31} + 1572864 T^{32} - 1277952 T^{33} + 983040 T^{34} - 524288 T^{35} + 262144 T^{36} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{13} \))(\( ( 1 - T )^{13} \))(\( ( 1 + T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 + T )^{15} \))(\( ( 1 - T )^{15} \))(\( ( 1 + T )^{16} \))(\( ( 1 + T )^{17} \))(\( ( 1 - T )^{18} \))
$5$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{13} \))(\( ( 1 - T )^{13} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 - T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{17} \))(\( ( 1 - T )^{18} \))
$7$ (\( 1 + 5 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 12 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 - 3 T^{2} + 49 T^{4} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( 1 - 2 T + 13 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 7 T + 34 T^{2} - 103 T^{3} + 238 T^{4} - 343 T^{5} + 343 T^{6} \))(\( 1 - 8 T + 38 T^{2} - 120 T^{3} + 266 T^{4} - 392 T^{5} + 343 T^{6} \))(\( 1 + T + 3 T^{2} - 6 T^{3} + 59 T^{4} + 129 T^{5} + 413 T^{6} - 294 T^{7} + 1029 T^{8} + 2401 T^{9} + 16807 T^{10} \))(\( 1 + 12 T + 96 T^{2} + 569 T^{3} + 2836 T^{4} + 12102 T^{5} + 45856 T^{6} + 154910 T^{7} + 474445 T^{8} + 1314649 T^{9} + 3321115 T^{10} + 7590590 T^{11} + 15728608 T^{12} + 29056902 T^{13} + 47664652 T^{14} + 66942281 T^{15} + 79060128 T^{16} + 69177612 T^{17} + 40353607 T^{18} \))(\( 1 + 5 T + 57 T^{2} + 237 T^{3} + 1472 T^{4} + 5166 T^{5} + 22744 T^{6} + 67486 T^{7} + 232183 T^{8} + 577104 T^{9} + 1625281 T^{10} + 3306814 T^{11} + 7801192 T^{12} + 12403566 T^{13} + 24739904 T^{14} + 27882813 T^{15} + 46941951 T^{16} + 28824005 T^{17} + 40353607 T^{18} \))(\( 1 + T + 20 T^{2} + 38 T^{3} + 349 T^{4} + 625 T^{5} + 4032 T^{6} + 7726 T^{7} + 39587 T^{8} + 68934 T^{9} + 300986 T^{10} + 482538 T^{11} + 1939763 T^{12} + 2650018 T^{13} + 9680832 T^{14} + 10504375 T^{15} + 41059501 T^{16} + 31294634 T^{17} + 115296020 T^{18} + 40353607 T^{19} + 282475249 T^{20} \))(\( 1 - 4 T + 63 T^{2} - 217 T^{3} + 1849 T^{4} - 5531 T^{5} + 33620 T^{6} - 87901 T^{7} + 424567 T^{8} - 973029 T^{9} + 3941912 T^{10} - 7894787 T^{11} + 27593384 T^{12} - 47678421 T^{13} + 145626481 T^{14} - 211050301 T^{15} + 565051340 T^{16} - 650716619 T^{17} + 1522731007 T^{18} - 1250961817 T^{19} + 2542277241 T^{20} - 1129900996 T^{21} + 1977326743 T^{22} \))(\( 1 - 3 T + 42 T^{2} - 142 T^{3} + 1007 T^{4} - 3321 T^{5} + 16882 T^{6} - 52132 T^{7} + 212268 T^{8} - 604649 T^{9} + 2086596 T^{10} - 5396032 T^{11} + 16333195 T^{12} - 37772224 T^{13} + 102243204 T^{14} - 207394607 T^{15} + 509655468 T^{16} - 876182524 T^{17} + 1986150418 T^{18} - 2734986303 T^{19} + 5805154607 T^{20} - 5730212194 T^{21} + 11863960458 T^{22} - 5931980229 T^{23} + 13841287201 T^{24} \))(\( 1 - 2 T + 44 T^{2} - 61 T^{3} + 898 T^{4} - 736 T^{5} + 11501 T^{6} - 3032 T^{7} + 107667 T^{8} + 26856 T^{9} + 835057 T^{10} + 492410 T^{11} + 5959360 T^{12} + 3446870 T^{13} + 40917793 T^{14} + 9211608 T^{15} + 258508467 T^{16} - 50958824 T^{17} + 1353081149 T^{18} - 606127648 T^{19} + 5176791298 T^{20} - 2461570027 T^{21} + 12428910956 T^{22} - 3954653486 T^{23} + 13841287201 T^{24} \))(\( 1 + 7 T + 70 T^{2} + 360 T^{3} + 2133 T^{4} + 8775 T^{5} + 39368 T^{6} + 136534 T^{7} + 508750 T^{8} + 1539691 T^{9} + 4993566 T^{10} + 13466160 T^{11} + 38933901 T^{12} + 94263120 T^{13} + 244684734 T^{14} + 528114013 T^{15} + 1221508750 T^{16} + 2294726938 T^{17} + 4631605832 T^{18} + 7226589825 T^{19} + 12296320533 T^{20} + 14527298520 T^{21} + 19773267430 T^{22} + 13841287201 T^{23} + 13841287201 T^{24} \))(\( 1 + 11 T + 105 T^{2} + 711 T^{3} + 4299 T^{4} + 22023 T^{5} + 103273 T^{6} + 433633 T^{7} + 1691498 T^{8} + 6050335 T^{9} + 20275508 T^{10} + 63018511 T^{11} + 184311845 T^{12} + 502355300 T^{13} + 1290182915 T^{14} + 3087907039 T^{15} + 6954499244 T^{16} + 14526854335 T^{17} + 28429006886 T^{18} + 51016488817 T^{19} + 85049756239 T^{20} + 126958212423 T^{21} + 173480156493 T^{22} + 200839902039 T^{23} + 207619308015 T^{24} + 152254159211 T^{25} + 96889010407 T^{26} \))(\( 1 - 3 T + 44 T^{2} - 130 T^{3} + 1067 T^{4} - 3011 T^{5} + 18109 T^{6} - 47879 T^{7} + 234567 T^{8} - 576212 T^{9} + 2428789 T^{10} - 5501323 T^{11} + 20566827 T^{12} - 42599940 T^{13} + 143967789 T^{14} - 269564827 T^{15} + 833074627 T^{16} - 1383485012 T^{17} + 3942367569 T^{18} - 5632916471 T^{19} + 14913540187 T^{20} - 17357815811 T^{21} + 43057298669 T^{22} - 36721782370 T^{23} + 87002376692 T^{24} - 41523861603 T^{25} + 96889010407 T^{26} \))(\( 1 + T + 34 T^{2} + 8 T^{3} + 628 T^{4} - 140 T^{5} + 8824 T^{6} - 4156 T^{7} + 102819 T^{8} - 60604 T^{9} + 1020552 T^{10} - 653304 T^{11} + 8737507 T^{12} - 5648939 T^{13} + 65288550 T^{14} - 39542573 T^{15} + 428137843 T^{16} - 224083272 T^{17} + 2450345352 T^{18} - 1018571428 T^{19} + 12096552531 T^{20} - 3422644708 T^{21} + 50868604024 T^{22} - 5649504980 T^{23} + 177394456372 T^{24} + 15818613944 T^{25} + 470603764834 T^{26} + 96889010407 T^{27} + 678223072849 T^{28} \))(\( 1 - 5 T + 56 T^{2} - 280 T^{3} + 1766 T^{4} - 7800 T^{5} + 37784 T^{6} - 146428 T^{7} + 592847 T^{8} - 2043556 T^{9} + 7188946 T^{10} - 22198344 T^{11} + 69293335 T^{12} - 192561079 T^{13} + 538709350 T^{14} - 1347927553 T^{15} + 3395373415 T^{16} - 7614031992 T^{17} + 17260659346 T^{18} - 34346045692 T^{19} + 69747856703 T^{20} - 120589754404 T^{21} + 217817240984 T^{22} - 314758134600 T^{23} + 498851289734 T^{24} - 553651488040 T^{25} + 775112083256 T^{26} - 484445052035 T^{27} + 678223072849 T^{28} \))(\( 1 + 16 T + 168 T^{2} + 1311 T^{3} + 8514 T^{4} + 47656 T^{5} + 237984 T^{6} + 1077418 T^{7} + 4488473 T^{8} + 17352487 T^{9} + 62716637 T^{10} + 212929042 T^{11} + 681659371 T^{12} + 2063070694 T^{13} + 5912926888 T^{14} + 16065766832 T^{15} + 41390488216 T^{16} + 101090464006 T^{17} + 233809164253 T^{18} + 511242629842 T^{19} + 1054078518059 T^{20} + 2041502743063 T^{21} + 3696450519839 T^{22} + 6211100363818 T^{23} + 9603512808288 T^{24} + 13461640466344 T^{25} + 16834959889902 T^{26} + 18145927520511 T^{27} + 16277353748376 T^{28} + 10851569165584 T^{29} + 4747561509943 T^{30} \))(\( 1 + 5 T + 55 T^{2} + 259 T^{3} + 1652 T^{4} + 6988 T^{5} + 34204 T^{6} + 129638 T^{7} + 534589 T^{8} + 1830858 T^{9} + 6625353 T^{10} + 20655238 T^{11} + 66994807 T^{12} + 190889253 T^{13} + 561667781 T^{14} + 1463874354 T^{15} + 3931674467 T^{16} + 9353573397 T^{17} + 22979218801 T^{18} + 49593226438 T^{19} + 111352307871 T^{20} + 215398612842 T^{21} + 440257028827 T^{22} + 747337272038 T^{23} + 1380254773828 T^{24} + 1973937040012 T^{25} + 3266543779436 T^{26} + 3584893385059 T^{27} + 5328895572385 T^{28} + 3391115364245 T^{29} + 4747561509943 T^{30} \))(\( 1 + 2 T + 50 T^{2} + 89 T^{3} + 1210 T^{4} + 2048 T^{5} + 19143 T^{6} + 31768 T^{7} + 225824 T^{8} + 366466 T^{9} + 2174583 T^{10} + 3335825 T^{11} + 18362576 T^{12} + 25483696 T^{13} + 142396848 T^{14} + 178561458 T^{15} + 1030951434 T^{16} + 1249930206 T^{17} + 6977445552 T^{18} + 8740907728 T^{19} + 44088544976 T^{20} + 56065210775 T^{21} + 255837515367 T^{22} + 301800509038 T^{23} + 1301830421024 T^{24} + 1281953387176 T^{25} + 5407423691607 T^{26} + 4049565169664 T^{27} + 16747957513210 T^{28} + 8623121926223 T^{29} + 33911153642450 T^{30} + 9495123019886 T^{31} + 33232930569601 T^{32} \))(\( 1 - 18 T + 206 T^{2} - 1731 T^{3} + 11913 T^{4} - 69754 T^{5} + 359752 T^{6} - 1664599 T^{7} + 7033205 T^{8} - 27462561 T^{9} + 100255355 T^{10} - 345218168 T^{11} + 1130172584 T^{12} - 3538199787 T^{13} + 10638418997 T^{14} - 30800598542 T^{15} + 85984427551 T^{16} - 231593372880 T^{17} + 601890992857 T^{18} - 1509229328558 T^{19} + 3648977715971 T^{20} - 8495217688587 T^{21} + 18994810619288 T^{22} - 40614572247032 T^{23} + 82564595822765 T^{24} - 158316199115361 T^{25} + 283815190520435 T^{26} - 470208017010151 T^{27} + 711347250447736 T^{28} - 965485147418554 T^{29} + 1154238780978591 T^{30} - 1174004139101619 T^{31} + 977997671048258 T^{32} - 598192750252818 T^{33} + 232630513987207 T^{34} \))(\( 1 - 8 T + 81 T^{2} - 461 T^{3} + 2825 T^{4} - 13039 T^{5} + 61889 T^{6} - 248007 T^{7} + 1001319 T^{8} - 3615336 T^{9} + 13014128 T^{10} - 43236883 T^{11} + 142612499 T^{12} - 441485027 T^{13} + 1355958945 T^{14} - 3938032633 T^{15} + 11355484428 T^{16} - 31042051134 T^{17} + 84326931994 T^{18} - 217294357938 T^{19} + 556418736972 T^{20} - 1350745193119 T^{21} + 3255657426945 T^{22} - 7420038848789 T^{23} + 16778217894851 T^{24} - 35607432336469 T^{25} + 75023858108528 T^{26} - 145891848116952 T^{27} + 282847833853431 T^{28} - 490390873551201 T^{29} + 856623423582689 T^{30} - 1263335806696873 T^{31} + 1915980180798425 T^{32} - 2188625856083723 T^{33} + 2691867376137681 T^{34} - 1861044111897656 T^{35} + 1628413597910449 T^{36} \))
$11$ (\( 1 - 2 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 - 3 T + 20 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 5 T + 24 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 + 8 T + 35 T^{2} + 88 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 29 T^{2} - 124 T^{3} + 319 T^{4} - 726 T^{5} + 1331 T^{6} \))(\( 1 - 4 T + 21 T^{2} - 72 T^{3} + 231 T^{4} - 484 T^{5} + 1331 T^{6} \))(\( 1 + 9 T + 67 T^{2} + 348 T^{3} + 1542 T^{4} + 5462 T^{5} + 16962 T^{6} + 42108 T^{7} + 89177 T^{8} + 131769 T^{9} + 161051 T^{10} \))(\( 1 + 10 T + 82 T^{2} + 422 T^{3} + 2013 T^{4} + 7684 T^{5} + 31505 T^{6} + 116662 T^{7} + 458426 T^{8} + 1530726 T^{9} + 5042686 T^{10} + 14116102 T^{11} + 41933155 T^{12} + 112501444 T^{13} + 324195663 T^{14} + 747598742 T^{15} + 1597948022 T^{16} + 2143588810 T^{17} + 2357947691 T^{18} \))(\( 1 + 44 T^{2} - 70 T^{3} + 1003 T^{4} - 2648 T^{5} + 17661 T^{6} - 49734 T^{7} + 251882 T^{8} - 635156 T^{9} + 2770702 T^{10} - 6017814 T^{11} + 23506791 T^{12} - 38769368 T^{13} + 161534153 T^{14} - 124009270 T^{15} + 857435524 T^{16} + 2357947691 T^{18} \))(\( 1 - 6 T + 94 T^{2} - 486 T^{3} + 4114 T^{4} - 18320 T^{5} + 110562 T^{6} - 423254 T^{7} + 2020052 T^{8} - 6621174 T^{9} + 26206199 T^{10} - 72832914 T^{11} + 244426292 T^{12} - 563351074 T^{13} + 1618738242 T^{14} - 2950454320 T^{15} + 7288201954 T^{16} - 9470765106 T^{17} + 20149734814 T^{18} - 14147686146 T^{19} + 25937424601 T^{20} \))(\( 1 + 68 T^{2} + 28 T^{3} + 2418 T^{4} + 1550 T^{5} + 58335 T^{6} + 43812 T^{7} + 1047407 T^{8} + 805680 T^{9} + 14600903 T^{10} + 10431500 T^{11} + 160609933 T^{12} + 97487280 T^{13} + 1394098717 T^{14} + 641451492 T^{15} + 9394910085 T^{16} + 2745919550 T^{17} + 47119979478 T^{18} + 6002048668 T^{19} + 160340442988 T^{20} + 285311670611 T^{22} \))(\( 1 + 10 T + 121 T^{2} + 884 T^{3} + 6358 T^{4} + 36596 T^{5} + 199613 T^{6} + 950964 T^{7} + 4296854 T^{8} + 17554982 T^{9} + 68593614 T^{10} + 246178092 T^{11} + 849846830 T^{12} + 2707959012 T^{13} + 8299827294 T^{14} + 23365681042 T^{15} + 62910239414 T^{16} + 153153703164 T^{17} + 353626605893 T^{18} + 713152509916 T^{19} + 1362893765398 T^{20} + 2084425758844 T^{21} + 3138428376721 T^{22} + 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 + 24 T + 327 T^{2} + 3170 T^{3} + 24306 T^{4} + 155314 T^{5} + 857417 T^{6} + 4189018 T^{7} + 18483482 T^{8} + 74879428 T^{9} + 282817800 T^{10} + 1008086106 T^{11} + 3421529910 T^{12} + 11088947166 T^{13} + 34220953800 T^{14} + 99664518668 T^{15} + 270616659962 T^{16} + 674645537918 T^{17} + 1518966517937 T^{18} + 3026630476694 T^{19} + 5210206961586 T^{20} + 7474694180470 T^{21} + 8481537844527 T^{22} + 6847480094664 T^{23} + 3138428376721 T^{24} \))(\( 1 + 6 T + 97 T^{2} + 482 T^{3} + 4226 T^{4} + 18348 T^{5} + 113493 T^{6} + 446824 T^{7} + 2163720 T^{8} + 7894178 T^{9} + 31896886 T^{10} + 108244858 T^{11} + 384184738 T^{12} + 1190693438 T^{13} + 3859523206 T^{14} + 10507150918 T^{15} + 31679024520 T^{16} + 71961452024 T^{17} + 201059772573 T^{18} + 357550613508 T^{19} + 905880631106 T^{20} + 1136530787062 T^{21} + 2515930186297 T^{22} + 1711870023666 T^{23} + 3138428376721 T^{24} \))(\( 1 - 4 T + 90 T^{2} - 314 T^{3} + 3983 T^{4} - 12426 T^{5} + 116309 T^{6} - 328968 T^{7} + 2512739 T^{8} - 6476096 T^{9} + 42401640 T^{10} - 99499918 T^{11} + 574270152 T^{12} - 1220624068 T^{13} + 6316971672 T^{14} - 12039490078 T^{15} + 56436582840 T^{16} - 94816521536 T^{17} + 404679128689 T^{18} - 582786879048 T^{19} + 2266533371839 T^{20} - 2663623455306 T^{21} + 9391705653253 T^{22} - 8144351324714 T^{23} + 25678050354990 T^{24} - 12553713506884 T^{25} + 34522712143931 T^{26} \))(\( 1 - 4 T + 91 T^{2} - 286 T^{3} + 3895 T^{4} - 9860 T^{5} + 107719 T^{6} - 226554 T^{7} + 2212424 T^{8} - 4000426 T^{9} + 36117763 T^{10} - 57784552 T^{11} + 481929537 T^{12} - 695471948 T^{13} + 5301224907 T^{14} - 6991930792 T^{15} + 48072742553 T^{16} - 58570237066 T^{17} + 356313097624 T^{18} - 401354230794 T^{19} + 2099138572949 T^{20} - 2113578566660 T^{21} + 9184206256445 T^{22} - 7418103435886 T^{23} + 25963362025601 T^{24} - 12553713506884 T^{25} + 34522712143931 T^{26} \))(\( 1 - 15 T + 189 T^{2} - 1632 T^{3} + 12387 T^{4} - 77883 T^{5} + 445606 T^{6} - 2263831 T^{7} + 10748858 T^{8} - 47057583 T^{9} + 196124953 T^{10} - 768551252 T^{11} + 2888608170 T^{12} - 10267643910 T^{13} + 35011570728 T^{14} - 112944083010 T^{15} + 349521588570 T^{16} - 1022941716412 T^{17} + 2871465436873 T^{18} - 7578670799733 T^{19} + 19042257627338 T^{20} - 44115661812101 T^{21} + 95519603526886 T^{22} - 183644040018153 T^{23} + 321286878532587 T^{24} - 465628646437152 T^{25} + 593162963200269 T^{26} - 517840682158965 T^{27} + 379749833583241 T^{28} \))(\( 1 - 4 T + 94 T^{2} - 328 T^{3} + 4272 T^{4} - 13400 T^{5} + 125588 T^{6} - 360812 T^{7} + 2695595 T^{8} - 7190808 T^{9} + 45374097 T^{10} - 113408148 T^{11} + 629840512 T^{12} - 1477134996 T^{13} + 7456084002 T^{14} - 16248484956 T^{15} + 76210701952 T^{16} - 150946244988 T^{17} + 664322154177 T^{18} - 1158086819208 T^{19} + 4775410973795 T^{20} - 7031205142852 T^{21} + 26920903147028 T^{22} - 31596499059400 T^{23} + 110804677895472 T^{24} - 93582227960408 T^{25} + 295012267411774 T^{26} - 138090848575724 T^{27} + 379749833583241 T^{28} \))(\( 1 + 8 T + 101 T^{2} + 628 T^{3} + 4574 T^{4} + 23858 T^{5} + 129478 T^{6} + 591208 T^{7} + 2662829 T^{8} + 10953416 T^{9} + 43830202 T^{10} + 165648252 T^{11} + 615759283 T^{12} + 2164784974 T^{13} + 7622673134 T^{14} + 25156794160 T^{15} + 83849404474 T^{16} + 261938981854 T^{17} + 819575605673 T^{18} + 2425256057532 T^{19} + 7058897862302 T^{20} + 19404644602376 T^{21} + 51891004066759 T^{22} + 126730685318248 T^{23} + 305302351135298 T^{24} + 618815076130658 T^{25} + 1305015581374714 T^{26} + 1970933020580788 T^{27} + 3486793926537031 T^{28} + 3037998668665928 T^{29} + 4177248169415651 T^{30} \))(\( 1 - 6 T + 87 T^{2} - 394 T^{3} + 3690 T^{4} - 14092 T^{5} + 106158 T^{6} - 354426 T^{7} + 2327461 T^{8} - 6949624 T^{9} + 41361862 T^{10} - 112124674 T^{11} + 616351669 T^{12} - 1534418518 T^{13} + 7855382614 T^{14} - 18122768980 T^{15} + 86409208754 T^{16} - 185664640678 T^{17} + 820364071439 T^{18} - 1641617352034 T^{19} + 6661369236962 T^{20} - 12311682843064 T^{21} + 45355630502831 T^{22} - 75974360757306 T^{23} + 250315010981178 T^{24} - 365510187477292 T^{25} + 1052800064554590 T^{26} - 1236540780428074 T^{27} + 3003475956521997 T^{28} - 2278499001499446 T^{29} + 4177248169415651 T^{30} \))(\( 1 - 3 T + 64 T^{2} - 193 T^{3} + 2243 T^{4} - 6366 T^{5} + 55970 T^{6} - 147442 T^{7} + 1102389 T^{8} - 2675055 T^{9} + 18139937 T^{10} - 40407234 T^{11} + 258279021 T^{12} - 533591103 T^{13} + 3274491765 T^{14} - 6369595726 T^{15} + 37694876884 T^{16} - 70065552986 T^{17} + 396213503565 T^{18} - 710209758093 T^{19} + 3781463146461 T^{20} - 6507625442934 T^{21} + 32136004931657 T^{22} - 52129254219405 T^{23} + 236306872466709 T^{24} - 347660523456422 T^{25} + 1451717654917970 T^{26} - 1816294095109626 T^{27} + 7039494848985203 T^{28} - 6662883443778683 T^{29} + 24303989349327424 T^{30} - 12531744508246953 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 3 T + 69 T^{2} - 196 T^{3} + 2559 T^{4} - 6371 T^{5} + 63903 T^{6} - 131084 T^{7} + 1178333 T^{8} - 1771155 T^{9} + 16886960 T^{10} - 13498915 T^{11} + 195733792 T^{12} + 22235977 T^{13} + 1954512904 T^{14} + 2285206971 T^{15} + 18991083295 T^{16} + 34825013312 T^{17} + 208901916245 T^{18} + 276510043491 T^{19} + 2601456675224 T^{20} + 325556939257 T^{21} + 31523122935392 T^{22} - 23914151356315 T^{23} + 329079077190160 T^{24} - 379662803877555 T^{25} + 2778447576579103 T^{26} - 3399981366397484 T^{27} + 18232271687054733 T^{28} - 19994927188089491 T^{29} + 88343620376319429 T^{30} - 74430967382315236 T^{31} + 288230123689679919 T^{32} - 137849189590716483 T^{33} + 505447028499293771 T^{34} \))(\( 1 - 6 T + 105 T^{2} - 542 T^{3} + 5214 T^{4} - 23240 T^{5} + 162629 T^{6} - 631950 T^{7} + 3603496 T^{8} - 12309058 T^{9} + 61138488 T^{10} - 184214910 T^{11} + 838853389 T^{12} - 2227706690 T^{13} + 9795600145 T^{14} - 23115267828 T^{15} + 104413511172 T^{16} - 230295537908 T^{17} + 1116724850258 T^{18} - 2533250916988 T^{19} + 12634034851812 T^{20} - 30766421479068 T^{21} + 143417381722945 T^{22} - 358774390131190 T^{23} + 1486079948670229 T^{24} - 3589827451919610 T^{25} + 13105577873711928 T^{26} - 29024114889485078 T^{27} + 93465405800005096 T^{28} - 180302710242621450 T^{29} + 510399468477759509 T^{30} - 802307830224956440 T^{31} + 1980015632303018574 T^{32} - 2264068507823282842 T^{33} + 4824721635675076905 T^{34} - 3032682170995762626 T^{35} + 5559917313492231481 T^{36} \))
$13$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{13} \))(\( ( 1 - T )^{13} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{17} \))(\( ( 1 + T )^{18} \))
$17$ (\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 18 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 5 T + 36 T^{2} - 85 T^{3} + 289 T^{4} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 12 T + 83 T^{2} - 392 T^{3} + 1411 T^{4} - 3468 T^{5} + 4913 T^{6} \))(\( ( 1 - 2 T + 17 T^{2} )^{3} \))(\( 1 + 17 T + 163 T^{2} + 1036 T^{3} + 5196 T^{4} + 22286 T^{5} + 88332 T^{6} + 299404 T^{7} + 800819 T^{8} + 1419857 T^{9} + 1419857 T^{10} \))(\( 1 + 17 T + 198 T^{2} + 1579 T^{3} + 10164 T^{4} + 50783 T^{5} + 211606 T^{6} + 700783 T^{7} + 2157490 T^{8} + 7148926 T^{9} + 36677330 T^{10} + 202526287 T^{11} + 1039620278 T^{12} + 4241446943 T^{13} + 14431426548 T^{14} + 38113221451 T^{15} + 81247057254 T^{16} + 118587876497 T^{17} + 118587876497 T^{18} \))(\( 1 + 5 T + 96 T^{2} + 429 T^{3} + 4610 T^{4} + 18537 T^{5} + 145338 T^{6} + 524605 T^{7} + 3312252 T^{8} + 10500230 T^{9} + 56308284 T^{10} + 151610845 T^{11} + 714045594 T^{12} + 1548228777 T^{13} + 6545540770 T^{14} + 10355017101 T^{15} + 39392512608 T^{16} + 34878787205 T^{17} + 118587876497 T^{18} \))(\( 1 + T + 109 T^{2} + 146 T^{3} + 5952 T^{4} + 8844 T^{5} + 213846 T^{6} + 315896 T^{7} + 5558578 T^{8} + 7589345 T^{9} + 108498108 T^{10} + 129018865 T^{11} + 1606429042 T^{12} + 1551997048 T^{13} + 17860631766 T^{14} + 12557215308 T^{15} + 143666810688 T^{16} + 59909446258 T^{17} + 760357561069 T^{18} + 118587876497 T^{19} + 2015993900449 T^{20} \))(\( 1 + 3 T + 122 T^{2} + 363 T^{3} + 7095 T^{4} + 20486 T^{5} + 266698 T^{6} + 727152 T^{7} + 7354730 T^{8} + 18432015 T^{9} + 157628782 T^{10} + 355573066 T^{11} + 2679689294 T^{12} + 5326852335 T^{13} + 36133788490 T^{14} + 60732462192 T^{15} + 378673022186 T^{16} + 494482238534 T^{17} + 2911352884935 T^{18} + 2532199951083 T^{19} + 14467720932634 T^{20} + 6047981701347 T^{21} + 34271896307633 T^{22} \))(\( 1 + 7 T + 155 T^{2} + 948 T^{3} + 11567 T^{4} + 62139 T^{5} + 548535 T^{6} + 2604470 T^{7} + 18434762 T^{8} + 77633295 T^{9} + 463475938 T^{10} + 1729550365 T^{11} + 8952528652 T^{12} + 29402356205 T^{13} + 133944546082 T^{14} + 381412378335 T^{15} + 1539689757002 T^{16} + 3697974960790 T^{17} + 13240301411415 T^{18} + 25498034801547 T^{19} + 80688586320047 T^{20} + 112421306919156 T^{21} + 312479054569595 T^{22} + 239903274153431 T^{23} + 582622237229761 T^{24} \))(\( 1 + 9 T + 135 T^{2} + 906 T^{3} + 8037 T^{4} + 44673 T^{5} + 301931 T^{6} + 1475124 T^{7} + 8365372 T^{8} + 37119225 T^{9} + 185428666 T^{10} + 757443847 T^{11} + 3428362516 T^{12} + 12876545399 T^{13} + 53588884474 T^{14} + 182366752425 T^{15} + 698684234812 T^{16} + 2094465137268 T^{17} + 7287880345739 T^{18} + 18331059538929 T^{19} + 56064162553317 T^{20} + 107440616106282 T^{21} + 272159176560615 T^{22} + 308447066768697 T^{23} + 582622237229761 T^{24} \))(\( 1 - 5 T + 113 T^{2} - 340 T^{3} + 5477 T^{4} - 8459 T^{5} + 166817 T^{6} - 58352 T^{7} + 3967390 T^{8} + 1693637 T^{9} + 83143806 T^{10} + 56750687 T^{11} + 1529915712 T^{12} + 964761679 T^{13} + 24028559934 T^{14} + 8320838581 T^{15} + 331360380190 T^{16} - 82851495664 T^{17} + 4026556847873 T^{18} - 3471054834907 T^{19} + 38206223504357 T^{20} - 40319878008980 T^{21} + 227807310750737 T^{22} - 171359481538165 T^{23} + 582622237229761 T^{24} \))(\( 1 - 3 T + 108 T^{2} - 437 T^{3} + 6486 T^{4} - 29137 T^{5} + 275662 T^{6} - 1251979 T^{7} + 8996733 T^{8} - 39095627 T^{9} + 233358928 T^{10} - 940022888 T^{11} + 4885691842 T^{12} - 17886614706 T^{13} + 83056761314 T^{14} - 271666614632 T^{15} + 1146492413264 T^{16} - 3265305862667 T^{17} + 12774074327181 T^{18} - 30219729499051 T^{19} + 113114779276526 T^{20} - 203252644558417 T^{21} + 769160966959542 T^{22} - 880989334496213 T^{23} + 3701364801224364 T^{24} - 1747866711689283 T^{25} + 9904578032905937 T^{26} \))(\( 1 - 5 T + 100 T^{2} - 521 T^{3} + 5588 T^{4} - 28635 T^{5} + 222318 T^{6} - 1078731 T^{7} + 6854033 T^{8} - 30966201 T^{9} + 170513944 T^{10} - 709971172 T^{11} + 3492549840 T^{12} - 13304477598 T^{13} + 59373347280 T^{14} - 205181668708 T^{15} + 837735006872 T^{16} - 2586328073721 T^{17} + 9731746733281 T^{18} - 26037943944939 T^{19} + 91225673104014 T^{20} - 199750814323035 T^{21} + 662669053865236 T^{22} - 1050332822133929 T^{23} + 3427189630763300 T^{24} - 2913111186148805 T^{25} + 9904578032905937 T^{26} \))(\( 1 + 11 T + 147 T^{2} + 1072 T^{3} + 8930 T^{4} + 52852 T^{5} + 355444 T^{6} + 1863854 T^{7} + 10987065 T^{8} + 52561994 T^{9} + 279665035 T^{10} + 1232845511 T^{11} + 6004171564 T^{12} + 24492205394 T^{13} + 110128848620 T^{14} + 416367491698 T^{15} + 1735205581996 T^{16} + 6056969995543 T^{17} + 23357903388235 T^{18} + 74630515114858 T^{19} + 265201039544985 T^{20} + 764811377025742 T^{21} + 2479491127858804 T^{22} + 6267606448619444 T^{23} + 18002825531009570 T^{24} + 36739472841782576 T^{25} + 85645468872774867 T^{26} + 108950358361965307 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 7 T + 157 T^{2} - 882 T^{3} + 11512 T^{4} - 54550 T^{5} + 539512 T^{6} - 2219076 T^{7} + 18412767 T^{8} - 67024002 T^{9} + 491878709 T^{10} - 1610308213 T^{11} + 10766147864 T^{12} - 32166555942 T^{13} + 198480736780 T^{14} - 546831451014 T^{15} + 3111416732696 T^{16} - 7911444250469 T^{17} + 41082201654389 T^{18} - 95164498407714 T^{19} + 444439433943423 T^{20} - 910572701126148 T^{21} + 3763504848508792 T^{22} - 6468968662911350 T^{23} + 23208121781968888 T^{24} - 30227812543332306 T^{25} + 91471691245072477 T^{26} - 69332046230341559 T^{27} + 168377826559400929 T^{28} \))(\( 1 + 117 T^{2} - 62 T^{3} + 6187 T^{4} - 7920 T^{5} + 199630 T^{6} - 458562 T^{7} + 4707475 T^{8} - 15843055 T^{9} + 99468038 T^{10} - 368599612 T^{11} + 2149322982 T^{12} - 6535580281 T^{13} + 43792291986 T^{14} - 107731375224 T^{15} + 744468963762 T^{16} - 1888782701209 T^{17} + 10559623810566 T^{18} - 30785808193852 T^{19} + 141230390030566 T^{20} - 382412833233295 T^{21} + 1931659044680675 T^{22} - 3198817283659842 T^{23} + 23673697785096110 T^{24} - 15966671691556080 T^{25} + 212040222455325371 T^{26} - 36122578708245182 T^{27} + 1158835629849994629 T^{28} + 2862423051509815793 T^{30} \))(\( 1 - 13 T + 206 T^{2} - 1813 T^{3} + 17353 T^{4} - 119566 T^{5} + 878124 T^{6} - 5104830 T^{7} + 31669759 T^{8} - 162914398 T^{9} + 898841784 T^{10} - 4212064047 T^{11} + 21200010389 T^{12} - 91587267351 T^{13} + 423999231248 T^{14} - 1690148766620 T^{15} + 7207986931216 T^{16} - 26468720264439 T^{17} + 104155651041157 T^{18} - 351795801269487 T^{19} + 1276226798904888 T^{20} - 3932357522818462 T^{21} + 12995326882289807 T^{22} - 35610055857540030 T^{23} + 104134860461051628 T^{24} - 241044326701085134 T^{25} + 594720216626355449 T^{26} - 1056294116097556693 T^{27} + 2040343074778623022 T^{28} - 2188911745272212077 T^{29} + 2862423051509815793 T^{30} \))(\( 1 + 13 T + 193 T^{2} + 1712 T^{3} + 15711 T^{4} + 109513 T^{5} + 777507 T^{6} + 4578440 T^{7} + 27577189 T^{8} + 144105714 T^{9} + 777444113 T^{10} + 3732847661 T^{11} + 18605727173 T^{12} + 83500130154 T^{13} + 388511545035 T^{14} + 1631913650761 T^{15} + 7081862672620 T^{16} + 27742532062937 T^{17} + 112279836515115 T^{18} + 410236139446602 T^{19} + 1553968939216133 T^{20} + 5300109881404477 T^{21} + 18765610921181297 T^{22} + 59132147454477522 T^{23} + 192371781368613349 T^{24} + 542947477268924680 T^{25} + 1567449369556400643 T^{26} + 3753218180337812729 T^{27} + 9153577969116775071 T^{28} + 16956637592334964144 T^{29} + 32496920525964379297 T^{30} + 37211499669627605309 T^{31} + 48661191875666868481 T^{32} \))(\( 1 + 95 T^{2} + 116 T^{3} + 4790 T^{4} + 11220 T^{5} + 177539 T^{6} + 573158 T^{7} + 5461282 T^{8} + 20548805 T^{9} + 147124628 T^{10} + 579451110 T^{11} + 3519626141 T^{12} + 13740026928 T^{13} + 74787768266 T^{14} + 283103223456 T^{15} + 1418518270090 T^{16} + 5126107033006 T^{17} + 24114810591530 T^{18} + 81816831578784 T^{19} + 367432305490858 T^{20} + 1147580789053488 T^{21} + 4997365813681837 T^{22} + 13986541149751590 T^{23} + 60370924619138644 T^{24} + 143343479382408005 T^{25} + 647641835331289154 T^{26} + 1155483031993547942 T^{27} + 6084598198560855187 T^{28} + 6537021501717918420 T^{29} + 47442928777619438230 T^{30} + 19531827880890507764 T^{31} + \)\(27\!\cdots\!35\)\( T^{32} + \)\(82\!\cdots\!77\)\( T^{34} \))(\( 1 - 18 T + 316 T^{2} - 3498 T^{3} + 37201 T^{4} - 309754 T^{5} + 2500165 T^{6} - 16997848 T^{7} + 113137581 T^{8} - 655165867 T^{9} + 3755017746 T^{10} - 19025791375 T^{11} + 96785608593 T^{12} - 439263483780 T^{13} + 2043364692475 T^{14} - 8551260738530 T^{15} + 37686750336688 T^{16} - 150897753552386 T^{17} + 650996693384804 T^{18} - 2565261810390562 T^{19} + 10891470847302832 T^{20} - 42012344008397890 T^{21} + 170663862480204475 T^{22} - 623691332289419460 T^{23} + 2336169305620530417 T^{24} - 7807017985592345375 T^{25} + 26194092982746547986 T^{26} - 77694728920845927899 T^{27} + \)\(22\!\cdots\!69\)\( T^{28} - \)\(58\!\cdots\!84\)\( T^{29} + \)\(14\!\cdots\!65\)\( T^{30} - \)\(30\!\cdots\!98\)\( T^{31} + \)\(62\!\cdots\!29\)\( T^{32} - \)\(10\!\cdots\!14\)\( T^{33} + \)\(15\!\cdots\!96\)\( T^{34} - \)\(14\!\cdots\!86\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 2 T + 22 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( 1 + 12 T + 72 T^{2} + 228 T^{3} + 361 T^{4} \))(\( 1 - 14 T + 101 T^{2} - 498 T^{3} + 1919 T^{4} - 5054 T^{5} + 6859 T^{6} \))(\( 1 - 10 T + 75 T^{2} - 388 T^{3} + 1425 T^{4} - 3610 T^{5} + 6859 T^{6} \))(\( 1 + 2 T + 59 T^{2} + 142 T^{3} + 1804 T^{4} + 3708 T^{5} + 34276 T^{6} + 51262 T^{7} + 404681 T^{8} + 260642 T^{9} + 2476099 T^{10} \))(\( 1 - 6 T + 103 T^{2} - 564 T^{3} + 5257 T^{4} - 25844 T^{5} + 180543 T^{6} - 781626 T^{7} + 4579137 T^{8} - 17217784 T^{9} + 87003603 T^{10} - 282166986 T^{11} + 1238344437 T^{12} - 3368015924 T^{13} + 13016852443 T^{14} - 26533876884 T^{15} + 92068789117 T^{16} - 101901378246 T^{17} + 322687697779 T^{18} \))(\( 1 + 12 T + 99 T^{2} + 570 T^{3} + 3011 T^{4} + 14274 T^{5} + 74779 T^{6} + 380688 T^{7} + 1995209 T^{8} + 9087580 T^{9} + 37908971 T^{10} + 137428368 T^{11} + 512909161 T^{12} + 1860201954 T^{13} + 7455534089 T^{14} + 26816152170 T^{15} + 88493302161 T^{16} + 203802756492 T^{17} + 322687697779 T^{18} \))(\( 1 - 2 T + 111 T^{2} - 308 T^{3} + 6444 T^{4} - 19704 T^{5} + 252179 T^{6} - 768796 T^{7} + 7216520 T^{8} - 20508506 T^{9} + 156682837 T^{10} - 389661614 T^{11} + 2605163720 T^{12} - 5273171764 T^{13} + 32864219459 T^{14} - 48789054696 T^{15} + 303163657164 T^{16} - 275312495612 T^{17} + 1885175497551 T^{18} - 645375395558 T^{19} + 6131066257801 T^{20} \))(\( 1 + 8 T + 175 T^{2} + 1224 T^{3} + 14330 T^{4} + 87376 T^{5} + 726276 T^{6} + 3862862 T^{7} + 25417306 T^{8} + 117956806 T^{9} + 647864810 T^{10} + 2612588214 T^{11} + 12309431390 T^{12} + 42582406966 T^{13} + 174337301854 T^{14} + 503412038702 T^{15} + 1798331277324 T^{16} + 4110680898256 T^{17} + 12809182019870 T^{18} + 20787881162184 T^{19} + 56470347111325 T^{20} + 49048530062408 T^{21} + 116490258898219 T^{22} \))(\( 1 - 4 T + 136 T^{2} - 488 T^{3} + 9341 T^{4} - 30758 T^{5} + 427324 T^{6} - 1296940 T^{7} + 14475734 T^{8} - 40406494 T^{9} + 382589988 T^{10} - 973626292 T^{11} + 8092929490 T^{12} - 18498899548 T^{13} + 138114985668 T^{14} - 277148142346 T^{15} + 1886492130614 T^{16} - 3211351837060 T^{17} + 20103834052444 T^{18} - 27493706948162 T^{19} + 158643462365981 T^{20} - 157471596516152 T^{21} + 833825011060936 T^{22} - 465961035592876 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 2 T + 106 T^{2} + 138 T^{3} + 5721 T^{4} + 3530 T^{5} + 210338 T^{6} - 2850 T^{7} + 5953886 T^{8} - 3055518 T^{9} + 139448406 T^{10} - 108559504 T^{11} + 2825511044 T^{12} - 2062630576 T^{13} + 50340874566 T^{14} - 20957797962 T^{15} + 775916377406 T^{16} - 7056882150 T^{17} + 9895536517778 T^{18} + 3155367238670 T^{19} + 97162964157561 T^{20} + 44530902293502 T^{21} + 649893023326906 T^{22} + 232980517796438 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 24 T + 408 T^{2} + 5136 T^{3} + 53615 T^{4} + 477920 T^{5} + 3746212 T^{6} + 26244000 T^{7} + 166383546 T^{8} + 962732984 T^{9} + 5117525790 T^{10} + 25081450864 T^{11} + 113679678022 T^{12} + 476547566416 T^{13} + 1847426810190 T^{14} + 6603385537256 T^{15} + 21683270098266 T^{16} + 64982742156000 T^{17} + 176243843952772 T^{18} + 427199181502880 T^{19} + 910573732443215 T^{20} + 1657324015792944 T^{21} + 2501475033182808 T^{22} + 2795766213557256 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 2 T + 133 T^{2} + 316 T^{3} + 8799 T^{4} + 24630 T^{5} + 390843 T^{6} + 1223184 T^{7} + 13233892 T^{8} + 43173224 T^{9} + 363262270 T^{10} + 1157223440 T^{11} + 8275556630 T^{12} + 24540742680 T^{13} + 157235575970 T^{14} + 417757661840 T^{15} + 2491615909930 T^{16} + 5626377724904 T^{17} + 32768426747308 T^{18} + 57545768905104 T^{19} + 349363512085977 T^{20} + 418305157699830 T^{21} + 2839329052757421 T^{22} + 1937416937465116 T^{23} + 15493204433463127 T^{24} + 4426629838132322 T^{25} + 42052983462257059 T^{26} \))(\( 1 + 118 T^{2} - 18 T^{3} + 7180 T^{4} - 2238 T^{5} + 299671 T^{6} - 122708 T^{7} + 9635490 T^{8} - 4383452 T^{9} + 253221754 T^{10} - 117736202 T^{11} + 5614437750 T^{12} - 2501473252 T^{13} + 106674317250 T^{14} - 42502768922 T^{15} + 1736848010686 T^{16} - 571255848092 T^{17} + 23858427153510 T^{18} - 5772905965748 T^{19} + 267867437897869 T^{20} - 38009214085758 T^{21} + 2316897670053220 T^{22} - 110359192640418 T^{23} + 13745850549989842 T^{24} + 42052983462257059 T^{26} \))(\( 1 - 12 T + 192 T^{2} - 1884 T^{3} + 18032 T^{4} - 146808 T^{5} + 1097840 T^{6} - 7556248 T^{7} + 48174841 T^{8} - 287058676 T^{9} + 1610203894 T^{10} - 8485969940 T^{11} + 42389024536 T^{12} - 200138110820 T^{13} + 895953960816 T^{14} - 3802624105580 T^{15} + 15302437857496 T^{16} - 58205267818460 T^{17} + 209843381669974 T^{18} - 710785700584924 T^{19} + 2266427836879921 T^{20} - 6754316540075272 T^{21} + 18645234848931440 T^{22} - 47373135535539432 T^{23} + 110555386760667632 T^{24} - 219467647764244596 T^{25} + 424956464460702912 T^{26} - 504635801547084708 T^{27} + 799006685782884121 T^{28} \))(\( 1 - 2 T + 99 T^{2} - 170 T^{3} + 5118 T^{4} - 9686 T^{5} + 191639 T^{6} - 409662 T^{7} + 5861105 T^{8} - 13212128 T^{9} + 155160486 T^{10} - 342097804 T^{11} + 3605277414 T^{12} - 7465634604 T^{13} + 73323304108 T^{14} - 141847057476 T^{15} + 1301505146454 T^{16} - 2346448837636 T^{17} + 20220669696006 T^{18} - 32714536928672 T^{19} + 275740848358505 T^{20} - 366185284342218 T^{21} + 3254713037614199 T^{22} - 3125553040687394 T^{23} + 31378797107425518 T^{24} - 19803344012697230 T^{25} + 219118176987549939 T^{26} - 84105966924514118 T^{27} + 799006685782884121 T^{28} \))(\( 1 + 12 T + 189 T^{2} + 1548 T^{3} + 15264 T^{4} + 102516 T^{5} + 805938 T^{6} + 4745938 T^{7} + 32013145 T^{8} + 169548974 T^{9} + 1017200433 T^{10} + 4926307542 T^{11} + 26835143640 T^{12} + 119720190666 T^{13} + 598141447386 T^{14} + 2464748658312 T^{15} + 11364687500334 T^{16} + 43218988830426 T^{17} + 184062250226760 T^{18} + 642001325180982 T^{19} + 2518688974950867 T^{20} + 7976580854476094 T^{21} + 28615645592009155 T^{22} + 80602937211677458 T^{23} + 260066277772611702 T^{24} + 628532388484727316 T^{25} + 1778107311822414816 T^{26} + 3426211494714417228 T^{27} + 7948013874366584151 T^{28} + 9588080229394609452 T^{29} + 15181127029874798299 T^{30} \))(\( 1 - 4 T + 164 T^{2} - 634 T^{3} + 12691 T^{4} - 44562 T^{5} + 611669 T^{6} - 1796054 T^{7} + 20367190 T^{8} - 43702750 T^{9} + 494645899 T^{10} - 563517030 T^{11} + 9321163130 T^{12} - 52487808 T^{13} + 157712614886 T^{14} + 105300900156 T^{15} + 2996539682834 T^{16} - 18948098688 T^{17} + 63933857908670 T^{18} - 73438102866630 T^{19} + 1224792215868001 T^{20} - 2056034375872750 T^{21} + 18205655543843410 T^{22} - 30503396334040214 T^{23} + 197378061412783151 T^{24} - 273212574580128162 T^{25} + 1478377875677297329 T^{26} - 1403241658687946074 T^{27} + 6896689287810157676 T^{28} - 3196026743131536484 T^{29} + 15181127029874798299 T^{30} \))(\( 1 + 109 T^{2} + 106 T^{3} + 6675 T^{4} + 8414 T^{5} + 299350 T^{6} + 379536 T^{7} + 10587609 T^{8} + 12343192 T^{9} + 310790901 T^{10} + 316459728 T^{11} + 7847637933 T^{12} + 6841442614 T^{13} + 174911214076 T^{14} + 135205903146 T^{15} + 3495894602372 T^{16} + 2568912159774 T^{17} + 63142948281436 T^{18} + 46925454889426 T^{19} + 1022712023066493 T^{20} + 783585616041072 T^{21} + 14621431744328781 T^{22} + 11033230497850888 T^{23} + 179815324904958969 T^{24} + 122471598064250544 T^{25} + 1835334684272729350 T^{26} + 980149038369614666 T^{27} + 14773877084766624675 T^{28} + 4457616246999248254 T^{29} + 87091728750334369189 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 10 T + 234 T^{2} - 2064 T^{3} + 27012 T^{4} - 210502 T^{5} + 2028477 T^{6} - 14072190 T^{7} + 110732557 T^{8} - 689842134 T^{9} + 4662930766 T^{10} - 26287376786 T^{11} + 156981910086 T^{12} - 805408431460 T^{13} + 4320326816631 T^{14} - 20239872690700 T^{15} + 98488791031084 T^{16} - 421650713872052 T^{17} + 1871287029590596 T^{18} - 7306594041342700 T^{19} + 29633121635272029 T^{20} - 104961632196298660 T^{21} + 388702750582034514 T^{22} - 1236712800076318466 T^{23} + 4168062032641022074 T^{24} - 11715977371126969494 T^{25} + 35732033887511890903 T^{26} - 86277529282364654190 T^{27} + \)\(23\!\cdots\!63\)\( T^{28} - \)\(46\!\cdots\!22\)\( T^{29} + \)\(11\!\cdots\!08\)\( T^{30} - \)\(16\!\cdots\!44\)\( T^{31} + \)\(35\!\cdots\!66\)\( T^{32} - \)\(28\!\cdots\!10\)\( T^{33} + \)\(54\!\cdots\!39\)\( T^{34} \))(\( 1 - 12 T + 225 T^{2} - 2014 T^{3} + 22760 T^{4} - 168852 T^{5} + 1472023 T^{6} - 9563760 T^{7} + 70494154 T^{8} - 413546078 T^{9} + 2694580323 T^{10} - 14517511718 T^{11} + 85678181776 T^{12} - 427925244454 T^{13} + 2320384629855 T^{14} - 10797632693414 T^{15} + 54264696976333 T^{16} - 235803950638526 T^{17} + 1104041472720908 T^{18} - 4480275062131994 T^{19} + 19589555608456213 T^{20} - 74060962644126626 T^{21} + 302394845347333455 T^{22} - 1059585269867304946 T^{23} + 4030805544130064656 T^{24} - 12976793445321537602 T^{25} + 45763574784708642243 T^{26} - \)\(13\!\cdots\!62\)\( T^{27} + \)\(43\!\cdots\!54\)\( T^{28} - \)\(11\!\cdots\!40\)\( T^{29} + \)\(32\!\cdots\!03\)\( T^{30} - \)\(71\!\cdots\!68\)\( T^{31} + \)\(18\!\cdots\!60\)\( T^{32} - \)\(30\!\cdots\!86\)\( T^{33} + \)\(64\!\cdots\!25\)\( T^{34} - \)\(65\!\cdots\!68\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} \))
$23$ (\( 1 - 6 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( 1 + 5 T + 48 T^{2} + 115 T^{3} + 529 T^{4} \))(\( ( 1 + 3 T + 23 T^{2} )^{2} \))(\( 1 + 12 T + 74 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 65 T^{2} - 236 T^{3} + 1495 T^{4} - 3174 T^{5} + 12167 T^{6} \))(\( 1 - 8 T + 73 T^{2} - 336 T^{3} + 1679 T^{4} - 4232 T^{5} + 12167 T^{6} \))(\( 1 + 17 T + 163 T^{2} + 1108 T^{3} + 6330 T^{4} + 31910 T^{5} + 145590 T^{6} + 586132 T^{7} + 1983221 T^{8} + 4757297 T^{9} + 6436343 T^{10} \))(\( 1 + 23 T + 350 T^{2} + 3884 T^{3} + 35446 T^{4} + 275528 T^{5} + 1892253 T^{6} + 11617327 T^{7} + 64576901 T^{8} + 324785234 T^{9} + 1485268723 T^{10} + 6145565983 T^{11} + 23023042251 T^{12} + 77104031048 T^{13} + 228142613978 T^{14} + 574971392876 T^{15} + 1191688906450 T^{16} + 1801152661463 T^{17} + 1801152661463 T^{18} \))(\( 1 + 21 T + 352 T^{2} + 4030 T^{3} + 39880 T^{4} + 321562 T^{5} + 2322771 T^{6} + 14473143 T^{7} + 82250359 T^{8} + 411866056 T^{9} + 1891758257 T^{10} + 7656292647 T^{11} + 28261154757 T^{12} + 89986231642 T^{13} + 256681358840 T^{14} + 596584632670 T^{15} + 1198498557344 T^{16} + 1644530690901 T^{17} + 1801152661463 T^{18} \))(\( 1 - T + 110 T^{2} + 8 T^{3} + 6575 T^{4} + 3341 T^{5} + 285942 T^{6} + 176012 T^{7} + 9425838 T^{8} + 6260815 T^{9} + 242311931 T^{10} + 143998745 T^{11} + 4986268302 T^{12} + 2141538004 T^{13} + 80018295222 T^{14} + 21503821963 T^{15} + 973335970175 T^{16} + 27238603576 T^{17} + 8614208380910 T^{18} - 1801152661463 T^{19} + 41426511213649 T^{20} \))(\( 1 - 11 T + 178 T^{2} - 1336 T^{3} + 12789 T^{4} - 74503 T^{5} + 543519 T^{6} - 2611887 T^{7} + 16244727 T^{8} - 68067340 T^{9} + 396848908 T^{10} - 1576338798 T^{11} + 9127524884 T^{12} - 36007622860 T^{13} + 197649593409 T^{14} - 730913069967 T^{15} + 3498274711017 T^{16} - 11029117838167 T^{17} + 43544312641683 T^{18} - 104623476335416 T^{19} + 320605173740414 T^{20} - 455691623350139 T^{21} + 952809757913927 T^{22} \))(\( 1 + 3 T + 165 T^{2} + 247 T^{3} + 12453 T^{4} + 2101 T^{5} + 605282 T^{6} - 523356 T^{7} + 22586336 T^{8} - 31530221 T^{9} + 698190909 T^{10} - 1022115624 T^{11} + 17807437884 T^{12} - 23508659352 T^{13} + 369342990861 T^{14} - 383628198907 T^{15} + 6320582852576 T^{16} - 3368498727108 T^{17} + 89603458965698 T^{18} + 7153538264147 T^{19} + 975206699704293 T^{20} + 444884707381361 T^{21} + 6835374350252085 T^{22} + 2858429273741781 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 7 T + 135 T^{2} - 957 T^{3} + 9853 T^{4} - 62813 T^{5} + 482732 T^{6} - 2742994 T^{7} + 17410460 T^{8} - 90412235 T^{9} + 503623629 T^{10} - 2424150104 T^{11} + 12420005932 T^{12} - 55755452392 T^{13} + 266416899741 T^{14} - 1100045663245 T^{15} + 4872160536860 T^{16} - 17654850230942 T^{17} + 71461660768748 T^{18} - 213867300802411 T^{19} + 771598137973693 T^{20} - 1723703097020091 T^{21} + 5592579013842615 T^{22} - 6669668305397489 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 13 T + 219 T^{2} - 1921 T^{3} + 19363 T^{4} - 133101 T^{5} + 1034736 T^{6} - 6073434 T^{7} + 40401708 T^{8} - 212659719 T^{9} + 1262205561 T^{10} - 6030035710 T^{11} + 32180447656 T^{12} - 138690821330 T^{13} + 667706741769 T^{14} - 2587430801073 T^{15} + 11306054368428 T^{16} - 39090704411862 T^{17} + 153178063640304 T^{18} - 453185671821147 T^{19} + 1516335607996003 T^{20} - 3460014262670423 T^{21} + 9072405955789131 T^{22} - 12386526852881051 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 9 T + 222 T^{2} + 1814 T^{3} + 24098 T^{4} + 177442 T^{5} + 1687375 T^{6} + 11142815 T^{7} + 84686644 T^{8} + 500292245 T^{9} + 3206894953 T^{10} + 16912332475 T^{11} + 94092486447 T^{12} + 441183044160 T^{13} + 2164127188281 T^{14} + 8946623879275 T^{15} + 39018290893151 T^{16} + 140002282133045 T^{17} + 545072288302892 T^{18} + 1649536524487535 T^{19} + 5745217338631625 T^{20} + 13895657850231202 T^{21} + 43404176835935374 T^{22} + 75147691341559286 T^{23} + 211523766256891794 T^{24} + 197231619888182889 T^{25} + 504036361936467383 T^{26} \))(\( 1 - 15 T + 319 T^{2} - 3593 T^{3} + 44838 T^{4} - 405506 T^{5} + 3773606 T^{6} - 28475978 T^{7} + 214973927 T^{8} - 1384653258 T^{9} + 8816991310 T^{10} - 49093351425 T^{11} + 268893720533 T^{12} - 1301121547170 T^{13} + 6184555572259 T^{14} - 25970382903825 T^{15} + 107276333268770 T^{16} - 387482752371978 T^{17} + 1383645930228961 T^{18} - 4215466718374442 T^{19} + 12848469735751882 T^{20} - 31755574397357186 T^{21} + 80760083034677994 T^{22} - 148845454790640857 T^{23} + 303946312774542713 T^{24} - 328719366480304815 T^{25} + 504036361936467383 T^{26} \))(\( 1 + 3 T + 107 T^{2} + 47 T^{3} + 5814 T^{4} - 6632 T^{5} + 255201 T^{6} - 513793 T^{7} + 9238583 T^{8} - 25478336 T^{9} + 280342615 T^{10} - 921120180 T^{11} + 7603395218 T^{12} - 25790648657 T^{13} + 185216183994 T^{14} - 593184919111 T^{15} + 4022196070322 T^{16} - 11207269230060 T^{17} + 78451357724215 T^{18} - 163987309565248 T^{19} + 1367641847505287 T^{20} - 1749375480890471 T^{21} + 19985041754696481 T^{22} - 11945244450822616 T^{23} + 240853736196155286 T^{24} + 44782058621954569 T^{25} + 2344864814226174347 T^{26} + 1512109085809402149 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 31 T + 616 T^{2} - 8942 T^{3} + 106463 T^{4} - 1077055 T^{5} + 9619918 T^{6} - 77125148 T^{7} + 565580665 T^{8} - 3827226238 T^{9} + 24143960545 T^{10} - 142557708321 T^{11} + 791950996403 T^{12} - 4142960646807 T^{13} + 20459061373322 T^{14} - 95288094876561 T^{15} + 418942077097187 T^{16} - 1734499637141607 T^{17} + 6756470062873345 T^{18} - 24633340806367634 T^{19} + 83726236544486185 T^{20} - 262597666514041156 T^{21} + 753345256902426958 T^{22} - 1939940479792031465 T^{23} + 4410390663338713487 T^{24} - 8520024855266335234 T^{25} + 13499408650124517736 T^{26} - 15625127220030488873 T^{27} + 11592836324538749809 T^{28} \))(\( 1 + 26 T + 531 T^{2} + 7535 T^{3} + 92264 T^{4} + 935191 T^{5} + 8532849 T^{6} + 68490294 T^{7} + 507595953 T^{8} + 3415848638 T^{9} + 21623990584 T^{10} + 126945945367 T^{11} + 712155097295 T^{12} + 3763952631313 T^{13} + 19245571164069 T^{14} + 93606063161160 T^{15} + 442648136773587 T^{16} + 1991130941964577 T^{17} + 8664791068788265 T^{18} + 35524680297446647 T^{19} + 139179420427394312 T^{20} + 505668189815769182 T^{21} + 1728275617568615991 T^{22} + 5363542405325362614 T^{23} + 15368963686211898087 T^{24} + 38741700448403621959 T^{25} + 87910039504170560728 T^{26} + \)\(16\!\cdots\!35\)\( T^{27} + \)\(26\!\cdots\!73\)\( T^{28} + \)\(30\!\cdots\!34\)\( T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 + 3 T + 177 T^{2} + 501 T^{3} + 15587 T^{4} + 38655 T^{5} + 902201 T^{6} + 1817017 T^{7} + 38382249 T^{8} + 56906408 T^{9} + 1286212136 T^{10} + 1215699981 T^{11} + 36048999400 T^{12} + 18525270822 T^{13} + 896050491291 T^{14} + 303446351050 T^{15} + 20609161299693 T^{16} + 9799868264838 T^{17} + 438608175699800 T^{18} + 340202698383021 T^{19} + 8278502478058648 T^{20} + 8424190698076712 T^{21} + 130684858108290303 T^{22} + 142292391542326777 T^{23} + 1625001732324580063 T^{24} + 1601341790963602095 T^{25} + 14851445696604380149 T^{26} + 10979226840442180821 T^{27} + 89214436062754726791 T^{28} + 34778508973616249427 T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 + 15 T + 306 T^{2} + 3566 T^{3} + 43798 T^{4} + 420396 T^{5} + 3964002 T^{6} + 32491786 T^{7} + 256094042 T^{8} + 1835588331 T^{9} + 12580503545 T^{10} + 80100713367 T^{11} + 487384522608 T^{12} + 2784477648893 T^{13} + 15212518533859 T^{14} + 78432479998012 T^{15} + 386912926546366 T^{16} + 1803947039954276 T^{17} + 8047422304411411 T^{18} + 33878739554081131 T^{19} + 136390172191145328 T^{20} + 515555665774696881 T^{21} + 1862366026351726505 T^{22} + 6249857859605058957 T^{23} + 20054976753613795802 T^{24} + 58522666829586242918 T^{25} + \)\(16\!\cdots\!98\)\( T^{26} + \)\(40\!\cdots\!92\)\( T^{27} + \)\(95\!\cdots\!58\)\( T^{28} + \)\(17\!\cdots\!78\)\( T^{29} + \)\(35\!\cdots\!54\)\( T^{30} + \)\(39\!\cdots\!05\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 16 T + 348 T^{2} - 4147 T^{3} + 53558 T^{4} - 516538 T^{5} + 5048758 T^{6} - 41291154 T^{7} + 333996758 T^{8} - 2386483631 T^{9} + 16714885382 T^{10} - 106520718599 T^{11} + 663652869072 T^{12} - 3828320250680 T^{13} + 21586834718048 T^{14} - 113859525107508 T^{15} + 587348209609435 T^{16} - 2847907929633182 T^{17} + 13509008821017005 T^{18} - 60231688781871732 T^{19} + 262647018014490016 T^{20} - 1071320967270541880 T^{21} + 4271497498281483696 T^{22} - 15768889274721799511 T^{23} + 56911267092321915754 T^{24} - \)\(18\!\cdots\!11\)\( T^{25} + \)\(60\!\cdots\!54\)\( T^{26} - \)\(17\!\cdots\!46\)\( T^{27} + \)\(48\!\cdots\!66\)\( T^{28} - \)\(11\!\cdots\!98\)\( T^{29} + \)\(26\!\cdots\!14\)\( T^{30} - \)\(48\!\cdots\!23\)\( T^{31} + \)\(92\!\cdots\!36\)\( T^{32} - \)\(98\!\cdots\!76\)\( T^{33} + \)\(14\!\cdots\!03\)\( T^{34} \))(\( 1 - 32 T + 687 T^{2} - 10471 T^{3} + 130446 T^{4} - 1348387 T^{5} + 12162164 T^{6} - 96309148 T^{7} + 688483734 T^{8} - 4447299123 T^{9} + 26439564100 T^{10} - 144001066068 T^{11} + 728259813314 T^{12} - 3386640305519 T^{13} + 14719608647504 T^{14} - 59374058636506 T^{15} + 232964780415385 T^{16} - 918866422585188 T^{17} + 4112858550662674 T^{18} - 21133927719459324 T^{19} + 123238368839738665 T^{20} - 722404171430368502 T^{21} + 4119150003526166864 T^{22} - 21797578623945077017 T^{23} + \)\(10\!\cdots\!46\)\( T^{24} - \)\(49\!\cdots\!96\)\( T^{25} + \)\(20\!\cdots\!00\)\( T^{26} - \)\(80\!\cdots\!49\)\( T^{27} + \)\(28\!\cdots\!66\)\( T^{28} - \)\(91\!\cdots\!96\)\( T^{29} + \)\(26\!\cdots\!44\)\( T^{30} - \)\(67\!\cdots\!21\)\( T^{31} + \)\(15\!\cdots\!14\)\( T^{32} - \)\(27\!\cdots\!97\)\( T^{33} + \)\(42\!\cdots\!07\)\( T^{34} - \)\(45\!\cdots\!96\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))
$29$ (\( 1 - 7 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 3 T + 22 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 - 7 T + 66 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 + 55 T^{2} + 841 T^{4} \))(\( 1 - 6 T + 65 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 82 T^{2} + 405 T^{3} + 2378 T^{4} + 5887 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 64 T^{2} + 54 T^{3} + 1856 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 6 T + 145 T^{2} + 648 T^{3} + 8349 T^{4} + 27500 T^{5} + 242121 T^{6} + 544968 T^{7} + 3536405 T^{8} + 4243686 T^{9} + 20511149 T^{10} \))(\( 1 + 4 T + 45 T^{2} + 18 T^{3} + 1410 T^{4} + 3563 T^{5} + 51490 T^{6} + 137119 T^{7} + 1579520 T^{8} + 6166205 T^{9} + 45806080 T^{10} + 115317079 T^{11} + 1255789610 T^{12} + 2520042203 T^{13} + 28920720090 T^{14} + 10706819778 T^{15} + 776244433905 T^{16} + 2000985651844 T^{17} + 14507145975869 T^{18} \))(\( 1 + 15 T + 172 T^{2} + 1279 T^{3} + 8642 T^{4} + 51148 T^{5} + 320390 T^{6} + 1821606 T^{7} + 10638354 T^{8} + 55321138 T^{9} + 308512266 T^{10} + 1531970646 T^{11} + 7813991710 T^{12} + 36176008588 T^{13} + 177257349658 T^{14} + 760779027559 T^{15} + 2966978725148 T^{16} + 7503696194415 T^{17} + 14507145975869 T^{18} \))(\( 1 - 15 T + 214 T^{2} - 1885 T^{3} + 16381 T^{4} - 107877 T^{5} + 733255 T^{6} - 4069190 T^{7} + 24508805 T^{8} - 125282550 T^{9} + 726220953 T^{10} - 3633193950 T^{11} + 20611905005 T^{12} - 99243474910 T^{13} + 518617329655 T^{14} - 2212681220673 T^{15} + 9743800821301 T^{16} - 32516016842465 T^{17} + 107052732373654 T^{18} - 217607189638035 T^{19} + 420707233300201 T^{20} \))(\( 1 + 14 T + 302 T^{2} + 3076 T^{3} + 38394 T^{4} + 309273 T^{5} + 2859221 T^{6} + 19137418 T^{7} + 144431582 T^{8} + 831868071 T^{9} + 5400730262 T^{10} + 27367910525 T^{11} + 156621177598 T^{12} + 699601047711 T^{13} + 3522541853398 T^{14} + 13535532140458 T^{15} + 58645907954929 T^{16} + 183962792955633 T^{17} + 662291751007746 T^{18} + 1538757966268036 T^{19} + 4381158084712438 T^{20} + 5889901266202814 T^{21} + 12200509765705829 T^{22} \))(\( 1 + 23 T + 457 T^{2} + 6380 T^{3} + 79086 T^{4} + 823319 T^{5} + 7795050 T^{6} + 65493352 T^{7} + 507742585 T^{8} + 3575625549 T^{9} + 23420973875 T^{10} + 140816729726 T^{11} + 790303374129 T^{12} + 4083685162054 T^{13} + 19697039028875 T^{14} + 87205931514561 T^{15} + 359116683261385 T^{16} + 1343343901381448 T^{17} + 4636677528361050 T^{18} + 14202150912849571 T^{19} + 39562487815433646 T^{20} + 92555591326044220 T^{21} + 192263205618191857 T^{22} + 280611724611234067 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 24 T + 453 T^{2} + 5810 T^{3} + 64382 T^{4} + 585101 T^{5} + 4836705 T^{6} + 35410709 T^{7} + 244592489 T^{8} + 1561489623 T^{9} + 9580886226 T^{10} + 55217113850 T^{11} + 306510781518 T^{12} + 1601296301650 T^{13} + 8057525316066 T^{14} + 38083170415347 T^{15} + 172995620212409 T^{16} + 726314328494641 T^{17} + 2876984930797305 T^{18} + 10092919878272209 T^{19} + 32206864559255102 T^{20} + 84286518119798890 T^{21} + 190580376684991053 T^{22} + 292812234376939896 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 3 T + 199 T^{2} - 666 T^{3} + 20252 T^{4} - 73557 T^{5} + 1381160 T^{6} - 5252242 T^{7} + 70195943 T^{8} - 267614487 T^{9} + 2802139319 T^{10} - 10188987778 T^{11} + 90158966667 T^{12} - 295480645562 T^{13} + 2356599167279 T^{14} - 6526849723443 T^{15} + 49648256760983 T^{16} - 107729518246058 T^{17} + 821546178032360 T^{18} - 1268849151661113 T^{19} + 10130990355286172 T^{20} - 9661759219928754 T^{21} + 83720739426739999 T^{22} - 36601529297117487 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 7 T + 182 T^{2} - 1131 T^{3} + 16061 T^{4} - 89559 T^{5} + 935162 T^{6} - 4880661 T^{7} + 41946303 T^{8} - 213353777 T^{9} + 1588933426 T^{10} - 7912275179 T^{11} + 52621917010 T^{12} - 249507738862 T^{13} + 1526035593290 T^{14} - 6654223425539 T^{15} + 38752497326714 T^{16} - 150901072750337 T^{17} + 860366870832147 T^{18} - 2903130984695181 T^{19} + 16131428828877058 T^{20} - 44801568498374199 T^{21} + 232999271518432009 T^{22} - 475819880862527331 T^{23} + 2220492777358460878 T^{24} - 2476703482438283287 T^{25} + 10260628712958602189 T^{26} \))(\( 1 - 11 T + 294 T^{2} - 2487 T^{3} + 38657 T^{4} - 271439 T^{5} + 3183048 T^{6} - 19365025 T^{7} + 188257517 T^{8} - 1014781133 T^{9} + 8543739318 T^{10} - 41249386471 T^{11} + 307677261470 T^{12} - 1335178914794 T^{13} + 8922640582630 T^{14} - 34690734022111 T^{15} + 208373258226702 T^{16} - 717735414529373 T^{17} + 3861377981557033 T^{18} - 11518768481748025 T^{19} + 54907184285609832 T^{20} - 135786386087720879 T^{21} + 560802741989167933 T^{22} - 1046298889217599887 T^{23} + 3586949871117513726 T^{24} - 3891962615260159451 T^{25} + 10260628712958602189 T^{26} \))(\( 1 + 9 T + 269 T^{2} + 1918 T^{3} + 33271 T^{4} + 197868 T^{5} + 2626563 T^{6} + 13567070 T^{7} + 152919073 T^{8} + 705148058 T^{9} + 7055388451 T^{10} + 29474710716 T^{11} + 267107288350 T^{12} + 1018973577927 T^{13} + 8448046451960 T^{14} + 29550233759883 T^{15} + 224637229502350 T^{16} + 718858719652524 T^{17} + 4990142199011731 T^{18} + 14463396884698642 T^{19} + 90959830846101433 T^{20} + 234030279375544630 T^{21} + 1313928719166083043 T^{22} + 2870499959953247292 T^{23} + 13997350359130987471 T^{24} + 23400577730623780022 T^{25} + 95176176682271172029 T^{26} + 92345658416627419701 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 + 5 T + 168 T^{2} + 913 T^{3} + 15820 T^{4} + 83864 T^{5} + 1050847 T^{6} + 5255441 T^{7} + 54253317 T^{8} + 253625156 T^{9} + 2295558138 T^{10} + 10041652481 T^{11} + 82458409169 T^{12} + 337567444607 T^{13} + 2562439380349 T^{14} + 9789455893603 T^{15} + 69347522111129 T^{16} + 244905862359109 T^{17} + 1623604655402778 T^{18} + 5202143364864244 T^{19} + 32271138193205757 T^{20} + 90655707199247269 T^{21} + 525682442320827967 T^{22} + 1216627290120277816 T^{23} + 6655588430809179820 T^{24} + 11139065416089421877 T^{25} + 59440883578518798888 T^{26} + 51303143564793010945 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 + 3 T + 194 T^{2} + 359 T^{3} + 19640 T^{4} + 23464 T^{5} + 1413828 T^{6} + 1132044 T^{7} + 79657980 T^{8} + 42415520 T^{9} + 3685548816 T^{10} + 1353331190 T^{11} + 144252324621 T^{12} + 39716122555 T^{13} + 4841673845428 T^{14} + 1133811962538 T^{15} + 140408541517412 T^{16} + 33401259068755 T^{17} + 3518169945181569 T^{18} + 957185437394390 T^{19} + 75594840911749584 T^{20} + 25229740468341920 T^{21} + 1374090302024795820 T^{22} + 566300950314022284 T^{23} + 20510609180770916532 T^{24} + 9871474522155916264 T^{25} + \)\(23\!\cdots\!60\)\( T^{26} + \)\(12\!\cdots\!19\)\( T^{27} + \)\(19\!\cdots\!66\)\( T^{28} + \)\(89\!\cdots\!43\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 - 13 T + 285 T^{2} - 2866 T^{3} + 37938 T^{4} - 321493 T^{5} + 3291367 T^{6} - 24513231 T^{7} + 211622208 T^{8} - 1415411975 T^{9} + 10730166623 T^{10} - 65256632963 T^{11} + 444371074839 T^{12} - 2474400425946 T^{13} + 15332360627232 T^{14} - 78346357424352 T^{15} + 444638458189728 T^{16} - 2080970758220586 T^{17} + 10837766144248371 T^{18} - 46154776618703603 T^{19} + 220088046399179827 T^{20} - 841920051552668975 T^{21} + 3650456912237470272 T^{22} - 12262655877834386991 T^{23} + 47748341529158022923 T^{24} - \)\(13\!\cdots\!93\)\( T^{25} + \)\(46\!\cdots\!02\)\( T^{26} - \)\(10\!\cdots\!06\)\( T^{27} + \)\(29\!\cdots\!65\)\( T^{28} - \)\(38\!\cdots\!53\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 + 4 T + 224 T^{2} + 1032 T^{3} + 26377 T^{4} + 129339 T^{5} + 2166768 T^{6} + 10741132 T^{7} + 137318274 T^{8} + 668819972 T^{9} + 7057042136 T^{10} + 33173061626 T^{11} + 302876690061 T^{12} + 1355231071284 T^{13} + 11043413752920 T^{14} + 46458969968655 T^{15} + 345296526163294 T^{16} + 1347310129090995 T^{17} + 9287510966205720 T^{18} + 33052730597545476 T^{19} + 214218928223034141 T^{20} + 680417609797068274 T^{21} + 4197693239772453656 T^{22} + 11537061789988843348 T^{23} + 68692974002495749314 T^{24} + \)\(15\!\cdots\!08\)\( T^{25} + \)\(91\!\cdots\!68\)\( T^{26} + \)\(15\!\cdots\!31\)\( T^{27} + \)\(93\!\cdots\!57\)\( T^{28} + \)\(10\!\cdots\!48\)\( T^{29} + \)\(66\!\cdots\!44\)\( T^{30} + \)\(34\!\cdots\!96\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 3 T + 249 T^{2} + 414 T^{3} + 30207 T^{4} + 15376 T^{5} + 2455814 T^{6} - 1017185 T^{7} + 154525094 T^{8} - 159955992 T^{9} + 8076700686 T^{10} - 11089809224 T^{11} + 359856051275 T^{12} - 550546852903 T^{13} + 13781837438629 T^{14} - 21772603938401 T^{15} + 457491618076085 T^{16} - 700189963637360 T^{17} + 13267256924206465 T^{18} - 18310759912195241 T^{19} + 336125233290722681 T^{20} - 389391328668086743 T^{21} + 7381061086253164975 T^{22} - 6596477151876112904 T^{23} + \)\(13\!\cdots\!74\)\( T^{24} - 80017411229618412312 T^{25} + \)\(22\!\cdots\!86\)\( T^{26} - \)\(42\!\cdots\!85\)\( T^{27} + \)\(29\!\cdots\!06\)\( T^{28} + \)\(54\!\cdots\!16\)\( T^{29} + \)\(30\!\cdots\!23\)\( T^{30} + \)\(12\!\cdots\!34\)\( T^{31} + \)\(21\!\cdots\!01\)\( T^{32} + \)\(75\!\cdots\!63\)\( T^{33} + \)\(72\!\cdots\!09\)\( T^{34} \))(\( 1 - 7 T + 320 T^{2} - 2143 T^{3} + 49536 T^{4} - 323706 T^{5} + 4990223 T^{6} - 32215269 T^{7} + 371117314 T^{8} - 2375336829 T^{9} + 21873359226 T^{10} - 138110605786 T^{11} + 1067333333397 T^{12} - 6572683299059 T^{13} + 44273862409592 T^{14} - 262074712382232 T^{15} + 1584276842986376 T^{16} - 8881087313753409 T^{17} + 49245902198894142 T^{18} - 257551532098848861 T^{19} + 1332376824951542216 T^{20} - 6391740160290256248 T^{21} + 31314061678918639352 T^{22} - \)\(13\!\cdots\!91\)\( T^{23} + \)\(63\!\cdots\!37\)\( T^{24} - \)\(23\!\cdots\!74\)\( T^{25} + \)\(10\!\cdots\!86\)\( T^{26} - \)\(34\!\cdots\!01\)\( T^{27} + \)\(15\!\cdots\!14\)\( T^{28} - \)\(39\!\cdots\!01\)\( T^{29} + \)\(17\!\cdots\!43\)\( T^{30} - \)\(33\!\cdots\!34\)\( T^{31} + \)\(14\!\cdots\!16\)\( T^{32} - \)\(18\!\cdots\!07\)\( T^{33} + \)\(80\!\cdots\!20\)\( T^{34} - \)\(50\!\cdots\!63\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))
$31$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{13} \))(\( ( 1 + T )^{13} \))(\( ( 1 + T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 + T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 - T )^{16} \))(\( ( 1 - T )^{17} \))(\( ( 1 - T )^{18} \))
$37$ (\( 1 + 6 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 13 T + 112 T^{2} - 481 T^{3} + 1369 T^{4} \))(\( 1 + 7 T + 48 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 444 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 31 T^{2} - 104 T^{3} + 1147 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 115 T^{2} + 652 T^{3} + 4255 T^{4} + 13690 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 75 T^{2} - 56 T^{3} + 2760 T^{4} - 6446 T^{5} + 102120 T^{6} - 76664 T^{7} + 3798975 T^{8} + 5622483 T^{9} + 69343957 T^{10} \))(\( 1 - 11 T + 210 T^{2} - 1959 T^{3} + 22319 T^{4} - 177600 T^{5} + 1546392 T^{6} - 10628146 T^{7} + 76648501 T^{8} - 458056038 T^{9} + 2835994537 T^{10} - 14549931874 T^{11} + 78329393976 T^{12} - 332850993600 T^{13} + 1547687776283 T^{14} - 5026258035231 T^{15} + 19935694197930 T^{16} - 38637273993131 T^{17} + 129961739795077 T^{18} \))(\( 1 + 13 T + 230 T^{2} + 2369 T^{3} + 25949 T^{4} + 217240 T^{5} + 1835348 T^{6} + 13055096 T^{7} + 91633307 T^{8} + 562245230 T^{9} + 3390432359 T^{10} + 17872426424 T^{11} + 92965882244 T^{12} + 407142735640 T^{13} + 1799406340193 T^{14} + 6078205862921 T^{15} + 21834331740590 T^{16} + 45662232900973 T^{17} + 129961739795077 T^{18} \))(\( 1 + 3 T + 201 T^{2} + 682 T^{3} + 20101 T^{4} + 73351 T^{5} + 1381499 T^{6} + 4999236 T^{7} + 73197469 T^{8} + 244136852 T^{9} + 3055553250 T^{10} + 9033063524 T^{11} + 100207335061 T^{12} + 253226301108 T^{13} + 2589151547339 T^{14} + 5086448589907 T^{15} + 51573666547309 T^{16} + 64743540204706 T^{17} + 706008370238121 T^{18} + 389885219385231 T^{19} + 4808584372417849 T^{20} \))(\( 1 - 7 T + 194 T^{2} - 1325 T^{3} + 18126 T^{4} - 118533 T^{5} + 1056682 T^{6} - 6935669 T^{7} + 44302564 T^{8} - 312021592 T^{9} + 1588673657 T^{10} - 12122350740 T^{11} + 58780925309 T^{12} - 427157559448 T^{13} + 2244057774292 T^{14} - 12998560348709 T^{15} + 73274511170674 T^{16} - 304123248437997 T^{17} + 1720735204912758 T^{18} - 4654035276445325 T^{19} + 25212577520244938 T^{20} - 33660090606924943 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 9 T + 173 T^{2} - 1264 T^{3} + 14274 T^{4} - 90470 T^{5} + 838568 T^{6} - 4962208 T^{7} + 41681676 T^{8} - 229431213 T^{9} + 1762097783 T^{10} - 9047204996 T^{11} + 66625864386 T^{12} - 334746584852 T^{13} + 2412311864927 T^{14} - 11621379232089 T^{15} + 78118171573836 T^{16} - 344099138177056 T^{17} + 2151536063342312 T^{18} - 8588486924222510 T^{19} + 50137131725268354 T^{20} - 164271639100977328 T^{21} + 831885096428287877 T^{22} - 1601258596015143717 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 13 T + 387 T^{2} + 4116 T^{3} + 68234 T^{4} + 621062 T^{5} + 7431644 T^{6} + 59161942 T^{7} + 563321038 T^{8} + 3954895429 T^{9} + 31474616229 T^{10} + 194740059318 T^{11} + 1332402158118 T^{12} + 7205382194766 T^{13} + 43088749617501 T^{14} + 200327318165137 T^{15} + 1055754319899118 T^{16} + 4102523162084494 T^{17} + 19067565273086396 T^{18} + 58958581475975246 T^{19} + 239670523058845514 T^{20} + 534922520996536932 T^{21} + 1860922152125707563 T^{22} + 2312929083132985369 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 9 T + 291 T^{2} + 2212 T^{3} + 40874 T^{4} + 272974 T^{5} + 3750918 T^{6} + 22413800 T^{7} + 252412110 T^{8} + 1359088529 T^{9} + 13152293151 T^{10} + 63790894404 T^{11} + 544175457094 T^{12} + 2360263092948 T^{13} + 18005489323719 T^{14} + 68841911259437 T^{15} + 473060932489710 T^{16} + 1554261583406600 T^{17} + 9623829370593462 T^{18} + 25913934228503542 T^{19} + 143569085199566954 T^{20} + 287475368426710324 T^{21} + 1399298052373594059 T^{22} + 1601258596015143717 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 7 T + 340 T^{2} + 2159 T^{3} + 56071 T^{4} + 323830 T^{5} + 5972426 T^{6} + 31409932 T^{7} + 460035864 T^{8} + 2200688949 T^{9} + 27105469449 T^{10} + 117459657917 T^{11} + 1257628750069 T^{12} + 4898232386156 T^{13} + 46532263752553 T^{14} + 160802271688373 T^{15} + 1372973344000197 T^{16} + 4124445401346789 T^{17} + 31900707171673848 T^{18} + 80589292037294188 T^{19} + 566973611217934658 T^{20} + 1137446221563237430 T^{21} + 7287084712049762467 T^{22} + 10381733660050135991 T^{23} + 60491991405016540420 T^{24} + 46080664040880246967 T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 - 7 T + 260 T^{2} - 1979 T^{3} + 34903 T^{4} - 262522 T^{5} + 3178264 T^{6} - 22329438 T^{7} + 216758008 T^{8} - 1393499193 T^{9} + 11681088477 T^{10} - 68720051519 T^{11} + 516045922075 T^{12} - 2786486632444 T^{13} + 19093699116775 T^{14} - 94077750529511 T^{15} + 591682174625481 T^{16} - 2611641841052073 T^{17} + 15030857986157656 T^{18} - 57291228774728142 T^{19} + 301718567544237112 T^{20} - 922103131202248762 T^{21} + 4536054604067572531 T^{22} - 9516188473014923171 T^{23} + 46258581662659707380 T^{24} - 46080664040880246967 T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 + 240 T^{2} - 186 T^{3} + 29222 T^{4} - 40848 T^{5} + 2446689 T^{6} - 4488166 T^{7} + 159575584 T^{8} - 326232559 T^{9} + 8641757482 T^{10} - 17713375709 T^{11} + 399817217089 T^{12} - 777207548656 T^{13} + 15931404032634 T^{14} - 28756679300272 T^{15} + 547349770194841 T^{16} - 897235619787977 T^{17} + 16196044844222602 T^{18} - 22622256543295963 T^{19} + 409427290100397856 T^{20} - 426070023264508078 T^{21} + 8593944842634517569 T^{22} - 5308677147149305296 T^{23} + \)\(14\!\cdots\!78\)\( T^{24} - 33092677650979636818 T^{25} + \)\(15\!\cdots\!40\)\( T^{26} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 15 T + 389 T^{2} - 4238 T^{3} + 62797 T^{4} - 532449 T^{5} + 5722719 T^{6} - 38383660 T^{7} + 324773902 T^{8} - 1671697165 T^{9} + 11640291741 T^{10} - 40734666602 T^{11} + 262017893964 T^{12} - 439141887087 T^{13} + 5871809635006 T^{14} - 16248249822219 T^{15} + 358702496836716 T^{16} - 2063333067391106 T^{17} + 21815780809604301 T^{18} - 115922096326781905 T^{19} + 833280977315377918 T^{20} - 3643832895034846780 T^{21} + 20100932908063331199 T^{22} - 69197998392148953573 T^{23} + \)\(30\!\cdots\!53\)\( T^{24} - \)\(75\!\cdots\!94\)\( T^{25} + \)\(25\!\cdots\!09\)\( T^{26} - \)\(36\!\cdots\!55\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 + 33 T + 807 T^{2} + 14442 T^{3} + 218888 T^{4} + 2845848 T^{5} + 33092217 T^{6} + 347961321 T^{7} + 3365822093 T^{8} + 30160393873 T^{9} + 252467495909 T^{10} + 1981847828836 T^{11} + 14655729898046 T^{12} + 102279838465990 T^{13} + 675360662936335 T^{14} + 4220408098395490 T^{15} + 24988344528644395 T^{16} + 140021098859940310 T^{17} + 742356686525724038 T^{18} + 3714301908739106596 T^{19} + 17507095180211371913 T^{20} + 77383319065797892057 T^{21} + \)\(31\!\cdots\!69\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{23} + \)\(43\!\cdots\!09\)\( T^{24} + \)\(13\!\cdots\!52\)\( T^{25} + \)\(38\!\cdots\!44\)\( T^{26} + \)\(95\!\cdots\!02\)\( T^{27} + \)\(19\!\cdots\!79\)\( T^{28} + \)\(29\!\cdots\!37\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 + 9 T + 420 T^{2} + 3479 T^{3} + 84742 T^{4} + 640093 T^{5} + 10899146 T^{6} + 74751817 T^{7} + 1002268365 T^{8} + 6237463277 T^{9} + 70179200569 T^{10} + 396843574049 T^{11} + 3891950795157 T^{12} + 20026002297613 T^{13} + 175219332419380 T^{14} + 819694652375774 T^{15} + 6483115299517060 T^{16} + 27415597145432197 T^{17} + 197138983627087521 T^{18} + 743748749583247889 T^{19} + 4866503466551111533 T^{20} + 16003624254966582293 T^{21} + 95147217280472797545 T^{22} + \)\(26\!\cdots\!57\)\( T^{23} + \)\(14\!\cdots\!42\)\( T^{24} + \)\(30\!\cdots\!57\)\( T^{25} + \)\(15\!\cdots\!46\)\( T^{26} + \)\(22\!\cdots\!99\)\( T^{27} + \)\(10\!\cdots\!40\)\( T^{28} + \)\(81\!\cdots\!01\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 - 12 T + 324 T^{2} - 2600 T^{3} + 42619 T^{4} - 236790 T^{5} + 3331569 T^{6} - 12784312 T^{7} + 199733828 T^{8} - 554058649 T^{9} + 10901926185 T^{10} - 23755864697 T^{11} + 537408035653 T^{12} - 879086288177 T^{13} + 22725853891322 T^{14} - 26774036511451 T^{15} + 863896234214934 T^{16} - 990639350923687 T^{17} + 31111693977219818 T^{18} - 44528357755029581 T^{19} + 1007189181507462133 T^{20} - 1647325660046586029 T^{21} + 27971359921823119665 T^{22} - 52597827591343973317 T^{23} + \)\(70\!\cdots\!88\)\( T^{24} - \)\(16\!\cdots\!24\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} - \)\(42\!\cdots\!70\)\( T^{27} + \)\(28\!\cdots\!39\)\( T^{28} - \)\(63\!\cdots\!00\)\( T^{29} + \)\(29\!\cdots\!36\)\( T^{30} - \)\(40\!\cdots\!16\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 14 T + 503 T^{2} - 6014 T^{3} + 120949 T^{4} - 1262916 T^{5} + 18561894 T^{6} - 171998384 T^{7} + 2044497979 T^{8} - 17006343027 T^{9} + 172072635605 T^{10} - 1295238742256 T^{11} + 11489710885330 T^{12} - 78668332272016 T^{13} + 623024780364015 T^{14} - 3889908618101714 T^{15} + 27816251733830112 T^{16} - 158346544661150006 T^{17} + 1029201314151714144 T^{18} - 5325284898181246466 T^{19} + 31558074199778451795 T^{20} - \)\(14\!\cdots\!76\)\( T^{21} + \)\(79\!\cdots\!10\)\( T^{22} - \)\(33\!\cdots\!04\)\( T^{23} + \)\(16\!\cdots\!65\)\( T^{24} - \)\(59\!\cdots\!67\)\( T^{25} + \)\(26\!\cdots\!83\)\( T^{26} - \)\(82\!\cdots\!16\)\( T^{27} + \)\(33\!\cdots\!22\)\( T^{28} - \)\(83\!\cdots\!96\)\( T^{29} + \)\(29\!\cdots\!53\)\( T^{30} - \)\(54\!\cdots\!46\)\( T^{31} + \)\(16\!\cdots\!79\)\( T^{32} - \)\(17\!\cdots\!74\)\( T^{33} + \)\(45\!\cdots\!17\)\( T^{34} \))(\( 1 - 3 T + 392 T^{2} - 1523 T^{3} + 75736 T^{4} - 358263 T^{5} + 9662823 T^{6} - 53035090 T^{7} + 918644081 T^{8} - 5614221052 T^{9} + 69464824155 T^{10} - 455460284546 T^{11} + 4345417794227 T^{12} - 29516681128050 T^{13} + 230503521256221 T^{14} - 1567539912184529 T^{15} + 10527753475975371 T^{16} - 69244877939851024 T^{17} + 417481654361302258 T^{18} - 2562060483774487888 T^{19} + 14412494508610282899 T^{20} - 79400599171882947437 T^{21} + \)\(43\!\cdots\!81\)\( T^{22} - \)\(20\!\cdots\!50\)\( T^{23} + \)\(11\!\cdots\!43\)\( T^{24} - \)\(43\!\cdots\!18\)\( T^{25} + \)\(24\!\cdots\!55\)\( T^{26} - \)\(72\!\cdots\!04\)\( T^{27} + \)\(44\!\cdots\!69\)\( T^{28} - \)\(94\!\cdots\!70\)\( T^{29} + \)\(63\!\cdots\!63\)\( T^{30} - \)\(87\!\cdots\!11\)\( T^{31} + \)\(68\!\cdots\!04\)\( T^{32} - \)\(50\!\cdots\!39\)\( T^{33} + \)\(48\!\cdots\!72\)\( T^{34} - \)\(13\!\cdots\!51\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))
$41$ (\( 1 - 9 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 3 T + 80 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( ( 1 + 5 T + 41 T^{2} )^{2} \))(\( ( 1 - T + 41 T^{2} )^{2} \))(\( 1 + 14 T + 129 T^{2} + 574 T^{3} + 1681 T^{4} \))(\( 1 - T + 10 T^{2} + 81 T^{3} + 410 T^{4} - 1681 T^{5} + 68921 T^{6} \))(\( 1 - 10 T + 116 T^{2} - 782 T^{3} + 4756 T^{4} - 16810 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 191 T^{2} - 1332 T^{3} + 14963 T^{4} - 79027 T^{5} + 613483 T^{6} - 2239092 T^{7} + 13163911 T^{8} - 25431849 T^{9} + 115856201 T^{10} \))(\( 1 + 8 T + 224 T^{2} + 1906 T^{3} + 27401 T^{4} + 217103 T^{5} + 2187165 T^{6} + 15627101 T^{7} + 123581568 T^{8} + 765435461 T^{9} + 5066844288 T^{10} + 26269156781 T^{11} + 150741598965 T^{12} + 613481190383 T^{13} + 3174575763601 T^{14} + 9053698683346 T^{15} + 43624957349344 T^{16} + 63879401832968 T^{17} + 327381934393961 T^{18} \))(\( 1 + 11 T + 69 T^{2} + 258 T^{3} - 586 T^{4} - 15317 T^{5} - 39519 T^{6} + 72870 T^{7} + 4629282 T^{8} + 46527646 T^{9} + 189800562 T^{10} + 122494470 T^{11} - 2723688999 T^{12} - 43282181237 T^{13} - 67891733786 T^{14} + 1225526894178 T^{15} + 13438044897789 T^{16} + 87834177520331 T^{17} + 327381934393961 T^{18} \))(\( 1 - 43 T + 1141 T^{2} - 21912 T^{3} + 336203 T^{4} - 4297954 T^{5} + 47145787 T^{6} - 451778145 T^{7} + 3828343730 T^{8} - 28918277760 T^{9} + 195545445823 T^{10} - 1185649388160 T^{11} + 6435445810130 T^{12} - 31137001531545 T^{13} + 133222726218907 T^{14} - 497944622512754 T^{15} + 1596999296136923 T^{16} - 4267455649280472 T^{17} + 9110799686427061 T^{18} - 14077423178940323 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 22 T + 453 T^{2} - 5864 T^{3} + 71662 T^{4} - 664727 T^{5} + 5945248 T^{6} - 42695544 T^{7} + 308448176 T^{8} - 1853736553 T^{9} + 12302046563 T^{10} - 72052091839 T^{11} + 504383909083 T^{12} - 3116131145593 T^{13} + 21258556738096 T^{14} - 120647403108984 T^{15} + 688793847282848 T^{16} - 3157522541807207 T^{17} + 13956480774860222 T^{18} - 46823601543565544 T^{19} + 148304016280464333 T^{20} - 295298504823352822 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 9 T + 202 T^{2} + 1277 T^{3} + 20589 T^{4} + 106895 T^{5} + 1450215 T^{6} + 5829719 T^{7} + 76623702 T^{8} + 240442571 T^{9} + 3441523846 T^{10} + 8702557285 T^{11} + 141945886589 T^{12} + 356804848685 T^{13} + 5785201585126 T^{14} + 16571542435891 T^{15} + 216520268787222 T^{16} + 675409096237519 T^{17} + 6888672421861815 T^{18} + 20818258106509495 T^{19} + 164401625542372269 T^{20} + 418066730221088197 T^{21} + 2711377180650785002 T^{22} + 4952961285446235969 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 46 T + 1258 T^{2} + 24442 T^{3} + 372817 T^{4} + 4649055 T^{5} + 48861886 T^{6} + 440244453 T^{7} + 3460674282 T^{8} + 24167366939 T^{9} + 154757624603 T^{10} + 952327368572 T^{11} + 5965564253792 T^{12} + 39045422111452 T^{13} + 260147566957643 T^{14} + 1665639096802819 T^{15} + 9779038419778602 T^{16} + 51005049835903053 T^{17} + 232099051911858526 T^{18} + 905423330757832455 T^{19} + 2976915869145203857 T^{20} + 8001869240457194762 T^{21} + 16885705412171720458 T^{22} + 25315135458947428286 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 5 T + 244 T^{2} + 1805 T^{3} + 32751 T^{4} + 275555 T^{5} + 3187633 T^{6} + 26264771 T^{7} + 238560170 T^{8} + 1799635853 T^{9} + 13990330724 T^{10} + 94062438529 T^{11} + 646466217347 T^{12} + 3856559979689 T^{13} + 23517745947044 T^{14} + 124032702624613 T^{15} + 674114024539370 T^{16} + 3042936588194971 T^{17} + 15141589032051553 T^{18} + 53665513939278955 T^{19} + 261514286178941871 T^{20} + 590924391581099605 T^{21} + 3275128871677185844 T^{22} + 2751645158581242205 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 13 T + 377 T^{2} + 4110 T^{3} + 68917 T^{4} + 643634 T^{5} + 8071102 T^{6} + 65968720 T^{7} + 680270473 T^{8} + 4938973990 T^{9} + 43872226010 T^{10} + 285423270768 T^{11} + 2238975950709 T^{12} + 13084184783352 T^{13} + 91798013979069 T^{14} + 479796518161008 T^{15} + 3023717688835210 T^{16} + 13956360080956390 T^{17} + 78813552654253073 T^{18} + 313358296645341520 T^{19} + 1571881609429486862 T^{20} + 5139369364920065714 T^{21} + 22562180772628610237 T^{22} + 55167129764726368110 T^{23} + \)\(20\!\cdots\!57\)\( T^{24} + \)\(29\!\cdots\!53\)\( T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 - 9 T + 285 T^{2} - 2106 T^{3} + 42581 T^{4} - 276756 T^{5} + 4341956 T^{6} - 25268650 T^{7} + 334928055 T^{8} - 1768351682 T^{9} + 20510259142 T^{10} - 98496541298 T^{11} + 1022227146649 T^{12} - 4466963258792 T^{13} + 41911313012609 T^{14} - 165572685921938 T^{15} + 1413587570325782 T^{16} - 4996939217280002 T^{17} + 38803492060619055 T^{18} - 120028721529344650 T^{19} + 845614488003251236 T^{20} - 2209875966710611476 T^{21} + 13940250148429253341 T^{22} - 28268120507180956506 T^{23} + \)\(15\!\cdots\!85\)\( T^{24} - \)\(20\!\cdots\!29\)\( T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 + 5 T + 322 T^{2} + 1725 T^{3} + 54352 T^{4} + 291642 T^{5} + 6247959 T^{6} + 32482682 T^{7} + 539084509 T^{8} + 2662257856 T^{9} + 36668750133 T^{10} + 169355958726 T^{11} + 2018969939709 T^{12} + 8597906114456 T^{13} + 91197312943158 T^{14} + 352514150692696 T^{15} + 3393888468650829 T^{16} + 11672182031354646 T^{17} + 103617124044576213 T^{18} + 308439081278565056 T^{19} + 2560707612458302669 T^{20} + 6326141146617428842 T^{21} + 49889485449613614039 T^{22} + 95478322110523573962 T^{23} + \)\(72\!\cdots\!52\)\( T^{24} + \)\(94\!\cdots\!25\)\( T^{25} + \)\(72\!\cdots\!82\)\( T^{26} + \)\(46\!\cdots\!05\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 7 T + 383 T^{2} - 2088 T^{3} + 68148 T^{4} - 287063 T^{5} + 7625940 T^{6} - 24121869 T^{7} + 612034472 T^{8} - 1391130457 T^{9} + 38151217357 T^{10} - 60369403947 T^{11} + 1957119521519 T^{12} - 2298689340231 T^{13} + 86026963173463 T^{14} - 94246262949471 T^{15} + 3289917915673439 T^{16} - 4160719689431187 T^{17} + 107806222109933677 T^{18} - 161171089843413857 T^{19} + 2907227541085395752 T^{20} - 4697837081747603589 T^{21} + 60892560701762998740 T^{22} - 93979240232933626543 T^{23} + \)\(91\!\cdots\!48\)\( T^{24} - \)\(11\!\cdots\!08\)\( T^{25} + \)\(86\!\cdots\!23\)\( T^{26} - \)\(64\!\cdots\!47\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 16 T + 472 T^{2} - 5804 T^{3} + 100147 T^{4} - 1022439 T^{5} + 13281967 T^{6} - 117662087 T^{7} + 1265279220 T^{8} - 9987208841 T^{9} + 93201228206 T^{10} - 665740493435 T^{11} + 5536516858566 T^{12} - 36088688926797 T^{13} + 271685936089517 T^{14} - 1620744367963866 T^{15} + 11139123379670197 T^{16} - 60665086085945757 T^{17} + 381582278409227286 T^{18} - 1881223522469379035 T^{19} + 10797940228481205406 T^{20} - 47440283071386794681 T^{21} + \)\(24\!\cdots\!20\)\( T^{22} - \)\(93\!\cdots\!27\)\( T^{23} + \)\(43\!\cdots\!87\)\( T^{24} - \)\(13\!\cdots\!39\)\( T^{25} + \)\(55\!\cdots\!27\)\( T^{26} - \)\(13\!\cdots\!24\)\( T^{27} + \)\(43\!\cdots\!12\)\( T^{28} - \)\(60\!\cdots\!76\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 - 15 T + 542 T^{2} - 6595 T^{3} + 133919 T^{4} - 1385353 T^{5} + 20544034 T^{6} - 185884588 T^{7} + 2222565700 T^{8} - 17887736806 T^{9} + 181193105921 T^{10} - 1308883038482 T^{11} + 11552334463960 T^{12} - 75163344972968 T^{13} + 587927396189424 T^{14} - 3442272316322272 T^{15} + 24105023243766384 T^{16} - 126349582899559208 T^{17} + 796198443590587160 T^{18} - 3698590643703934802 T^{19} + 20992344899397666121 T^{20} - 84968614464072394246 T^{21} + \)\(43\!\cdots\!00\)\( T^{22} - \)\(14\!\cdots\!48\)\( T^{23} + \)\(67\!\cdots\!74\)\( T^{24} - \)\(18\!\cdots\!53\)\( T^{25} + \)\(73\!\cdots\!79\)\( T^{26} - \)\(14\!\cdots\!95\)\( T^{27} + \)\(50\!\cdots\!82\)\( T^{28} - \)\(56\!\cdots\!15\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 + 12 T + 213 T^{2} + 2226 T^{3} + 27055 T^{4} + 261025 T^{5} + 2682534 T^{6} + 23295398 T^{7} + 210198493 T^{8} + 1689153318 T^{9} + 13921663582 T^{10} + 104462653352 T^{11} + 794098394186 T^{12} + 5556589216666 T^{13} + 39399979216673 T^{14} + 259567431920235 T^{15} + 1723993243436030 T^{16} + 10642264708729635 T^{17} + 66231365063227313 T^{18} + 382965685401837386 T^{19} + 2243932272453425546 T^{20} + 12102646163742635752 T^{21} + 66129353222633451262 T^{22} + \)\(32\!\cdots\!58\)\( T^{23} + \)\(16\!\cdots\!53\)\( T^{24} + \)\(76\!\cdots\!78\)\( T^{25} + \)\(36\!\cdots\!34\)\( T^{26} + \)\(14\!\cdots\!25\)\( T^{27} + \)\(61\!\cdots\!55\)\( T^{28} + \)\(20\!\cdots\!46\)\( T^{29} + \)\(80\!\cdots\!93\)\( T^{30} + \)\(18\!\cdots\!12\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 6 T + 315 T^{2} + 1652 T^{3} + 49758 T^{4} + 215787 T^{5} + 5254328 T^{6} + 18017332 T^{7} + 419678468 T^{8} + 1082875639 T^{9} + 27281027879 T^{10} + 49357881269 T^{11} + 1513694571614 T^{12} + 1748388345783 T^{13} + 74146064744781 T^{14} + 51610314779612 T^{15} + 3293881447837780 T^{16} + 1710122735982616 T^{17} + 135049139361348980 T^{18} + 86756939144527772 T^{19} + 5110220928275051301 T^{20} + 4940527600368115863 T^{21} + \)\(17\!\cdots\!14\)\( T^{22} + \)\(23\!\cdots\!29\)\( T^{23} + \)\(53\!\cdots\!99\)\( T^{24} + \)\(86\!\cdots\!19\)\( T^{25} + \)\(13\!\cdots\!48\)\( T^{26} + \)\(24\!\cdots\!32\)\( T^{27} + \)\(28\!\cdots\!48\)\( T^{28} + \)\(48\!\cdots\!47\)\( T^{29} + \)\(46\!\cdots\!18\)\( T^{30} + \)\(62\!\cdots\!72\)\( T^{31} + \)\(48\!\cdots\!15\)\( T^{32} + \)\(38\!\cdots\!46\)\( T^{33} + \)\(26\!\cdots\!81\)\( T^{34} \))(\( 1 - 4 T + 450 T^{2} - 1290 T^{3} + 98209 T^{4} - 187803 T^{5} + 14000998 T^{6} - 15588597 T^{7} + 1478566660 T^{8} - 696046167 T^{9} + 123977520697 T^{10} + 1269233126 T^{11} + 8605896339467 T^{12} + 2863319449524 T^{13} + 507077331709035 T^{14} + 259686572449353 T^{15} + 25723751020616213 T^{16} + 14694455884582386 T^{17} + 1131457314613741628 T^{18} + 602472691267877826 T^{19} + 43241625465655854053 T^{20} + 17897858259781858113 T^{21} + \)\(14\!\cdots\!35\)\( T^{22} + \)\(33\!\cdots\!24\)\( T^{23} + \)\(40\!\cdots\!47\)\( T^{24} + \)\(24\!\cdots\!06\)\( T^{25} + \)\(98\!\cdots\!37\)\( T^{26} - \)\(22\!\cdots\!87\)\( T^{27} + \)\(19\!\cdots\!60\)\( T^{28} - \)\(85\!\cdots\!77\)\( T^{29} + \)\(31\!\cdots\!38\)\( T^{30} - \)\(17\!\cdots\!63\)\( T^{31} + \)\(37\!\cdots\!49\)\( T^{32} - \)\(20\!\cdots\!90\)\( T^{33} + \)\(28\!\cdots\!50\)\( T^{34} - \)\(10\!\cdots\!24\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))
$43$ (\( 1 - 11 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 5 T + 88 T^{2} + 215 T^{3} + 1849 T^{4} \))(\( 1 - 3 T + 84 T^{2} - 129 T^{3} + 1849 T^{4} \))(\( 1 - 16 T + 138 T^{2} - 688 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 85 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 124 T^{2} - 601 T^{3} + 5332 T^{4} - 12943 T^{5} + 79507 T^{6} \))(\( 1 - 20 T + 258 T^{2} - 1988 T^{3} + 11094 T^{4} - 36980 T^{5} + 79507 T^{6} \))(\( 1 - 8 T + 75 T^{2} + 176 T^{3} - 2751 T^{4} + 41394 T^{5} - 118293 T^{6} + 325424 T^{7} + 5963025 T^{8} - 27350408 T^{9} + 147008443 T^{10} \))(\( 1 + 15 T + 268 T^{2} + 2695 T^{3} + 29711 T^{4} + 219751 T^{5} + 1843185 T^{6} + 11089462 T^{7} + 83173948 T^{8} + 466195437 T^{9} + 3576479764 T^{10} + 20504415238 T^{11} + 146546109795 T^{12} + 751284938551 T^{13} + 4367767849973 T^{14} + 17036073417055 T^{15} + 72847387776676 T^{16} + 175323004164015 T^{17} + 502592611936843 T^{18} \))(\( 1 + 26 T + 494 T^{2} + 6604 T^{3} + 76653 T^{4} + 748365 T^{5} + 6712464 T^{6} + 53471378 T^{7} + 399148131 T^{8} + 2695839498 T^{9} + 17163369633 T^{10} + 98868577922 T^{11} + 533687875248 T^{12} + 2558511010365 T^{13} + 11268638181279 T^{14} + 41746281575596 T^{15} + 134278393886858 T^{16} + 303893207217626 T^{17} + 502592611936843 T^{18} \))(\( 1 + 8 T + 359 T^{2} + 2518 T^{3} + 60167 T^{4} + 371619 T^{5} + 6219169 T^{6} + 33696247 T^{7} + 439615705 T^{8} + 2066683798 T^{9} + 22215432474 T^{10} + 88867403314 T^{11} + 812849438545 T^{12} + 2679087510229 T^{13} + 21262101196369 T^{14} + 54631130579217 T^{15} + 380337450569183 T^{16} + 684439262767426 T^{17} + 4196063899658759 T^{18} + 4020740895494744 T^{19} + 21611482313284249 T^{20} \))(\( 1 + 5 T + 261 T^{2} + 1402 T^{3} + 32516 T^{4} + 173351 T^{5} + 2617696 T^{6} + 12907590 T^{7} + 157297268 T^{8} + 688622514 T^{9} + 7773814019 T^{10} + 30939972125 T^{11} + 334274002817 T^{12} + 1273263028386 T^{13} + 12506233886876 T^{14} + 44128481599590 T^{15} + 384823413207328 T^{16} + 1095814605907199 T^{17} + 8838453958755212 T^{18} + 16386856789196602 T^{19} + 131176671715516023 T^{20} + 108057411566421245 T^{21} + 929293739471222707 T^{22} \))(\( 1 + 20 T + 495 T^{2} + 6762 T^{3} + 100591 T^{4} + 1077969 T^{5} + 12186177 T^{6} + 109228811 T^{7} + 1022347646 T^{8} + 7929130990 T^{9} + 64018767333 T^{10} + 437297389288 T^{11} + 3107852705649 T^{12} + 18803787739384 T^{13} + 118370700798717 T^{14} + 630421417621930 T^{15} + 3495203154492446 T^{16} + 16057557435851273 T^{17} + 77033248996373673 T^{18} + 293012036396401683 T^{19} + 1175727754124162191 T^{20} + 3398531241916932366 T^{21} + 10697683745075703255 T^{22} + 18585874789424454140 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 5 T + 246 T^{2} + 799 T^{3} + 29899 T^{4} + 55309 T^{5} + 2487850 T^{6} + 2132213 T^{7} + 164028438 T^{8} + 47031390 T^{9} + 9068869933 T^{10} + 565204127 T^{11} + 424211050582 T^{12} + 24303777461 T^{13} + 16768340506117 T^{14} + 3739324724730 T^{15} + 560780587862838 T^{16} + 313453313274359 T^{17} + 15726603061454650 T^{18} + 15034015561717063 T^{19} + 349465500099992299 T^{20} + 401571496937537557 T^{21} + 5316424649067925254 T^{22} + 4646468697356113535 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 8 T + 233 T^{2} + 1714 T^{3} + 26841 T^{4} + 161883 T^{5} + 1898241 T^{6} + 8521805 T^{7} + 89337540 T^{8} + 246988990 T^{9} + 3092030469 T^{10} + 3463675128 T^{11} + 110007457927 T^{12} + 148938030504 T^{13} + 5717164337181 T^{14} + 19637353627930 T^{15} + 305427271089540 T^{16} + 1252777284599615 T^{17} + 11999470515496809 T^{18} + 44002812221834481 T^{19} + 313722983651088441 T^{20} + 861443736859748902 T^{21} + 5035475378995230017 T^{22} + 7434349915769781656 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 24 T + 542 T^{2} + 7832 T^{3} + 108400 T^{4} + 1187909 T^{5} + 12735954 T^{6} + 116443442 T^{7} + 1055962067 T^{8} + 8448694991 T^{9} + 67648390061 T^{10} + 486157375680 T^{11} + 3514156241826 T^{12} + 22960486836152 T^{13} + 151108718398518 T^{14} + 898904987632320 T^{15} + 5378520548579927 T^{16} + 28884406883925791 T^{17} + 155235339336731681 T^{18} + 736081271557174658 T^{19} + 3461869327402641078 T^{20} + 13884518303564726309 T^{21} + 54481039133953781200 T^{22} + \)\(16\!\cdots\!68\)\( T^{23} + \)\(50\!\cdots\!94\)\( T^{24} + \)\(95\!\cdots\!24\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 + 2 T + 263 T^{2} + 1054 T^{3} + 34467 T^{4} + 194291 T^{5} + 3146648 T^{6} + 20493809 T^{7} + 228381636 T^{8} + 1500495058 T^{9} + 13857588141 T^{10} + 84713095069 T^{11} + 710094139996 T^{12} + 3951421944858 T^{13} + 30534048019828 T^{14} + 156634512782581 T^{15} + 1101775260326487 T^{16} + 5129894004785458 T^{17} + 33574028718152748 T^{18} + 129548806945863641 T^{19} + 855317489002619336 T^{20} + 2270912120135375891 T^{21} + 17322859555627167681 T^{22} + 22778502358201598446 T^{23} + \)\(24\!\cdots\!41\)\( T^{24} + 79919261594525152802 T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 + 8 T + 295 T^{2} + 1900 T^{3} + 41536 T^{4} + 230309 T^{5} + 3986510 T^{6} + 20033675 T^{7} + 301020333 T^{8} + 1397054259 T^{9} + 18848679258 T^{10} + 81256416233 T^{11} + 1005219781359 T^{12} + 4044537813378 T^{13} + 46381116196248 T^{14} + 173915125975254 T^{15} + 1858651375732791 T^{16} + 6460453885437131 T^{17} + 64439883495929658 T^{18} + 205378771402108737 T^{19} + 1902858810023875317 T^{20} + 5445525713869028225 T^{21} + 46595127288659162510 T^{22} + \)\(11\!\cdots\!87\)\( T^{23} + \)\(89\!\cdots\!64\)\( T^{24} + \)\(17\!\cdots\!00\)\( T^{25} + \)\(11\!\cdots\!95\)\( T^{26} + \)\(13\!\cdots\!44\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 30 T + 749 T^{2} - 12902 T^{3} + 198222 T^{4} - 2533353 T^{5} + 29883914 T^{6} - 312500853 T^{7} + 3072730979 T^{8} - 27584118573 T^{9} + 235338051636 T^{10} - 1861508425321 T^{11} + 14079782264939 T^{12} - 99497370869008 T^{13} + 674210692521996 T^{14} - 4278386947367344 T^{15} + 26033517407872211 T^{16} - 148002950371996747 T^{17} + 804573966271208436 T^{18} - 4055098322944111839 T^{19} + 19423848070168194971 T^{20} - 84943547832212774271 T^{21} + \)\(34\!\cdots\!14\)\( T^{22} - \)\(12\!\cdots\!79\)\( T^{23} + \)\(42\!\cdots\!78\)\( T^{24} - \)\(11\!\cdots\!14\)\( T^{25} + \)\(29\!\cdots\!49\)\( T^{26} - \)\(51\!\cdots\!90\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 + 24 T + 682 T^{2} + 11298 T^{3} + 194187 T^{4} + 2534969 T^{5} + 33191430 T^{6} + 362852750 T^{7} + 3929711643 T^{8} + 37153024052 T^{9} + 346132141963 T^{10} + 2882011904406 T^{11} + 23589258511355 T^{12} + 174725463390591 T^{13} + 1270872982607855 T^{14} + 8411050433546396 T^{15} + 54647538252137765 T^{16} + 323067381809202759 T^{17} + 1875511176462301985 T^{18} + 9853025180795137206 T^{19} + 50884347262235593609 T^{20} + \)\(23\!\cdots\!48\)\( T^{21} + \)\(10\!\cdots\!01\)\( T^{22} + \)\(42\!\cdots\!50\)\( T^{23} + \)\(16\!\cdots\!90\)\( T^{24} + \)\(54\!\cdots\!81\)\( T^{25} + \)\(18\!\cdots\!09\)\( T^{26} + \)\(45\!\cdots\!98\)\( T^{27} + \)\(11\!\cdots\!26\)\( T^{28} + \)\(17\!\cdots\!76\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 - 22 T + 620 T^{2} - 9330 T^{3} + 154781 T^{4} - 1806205 T^{5} + 22472644 T^{6} - 217950030 T^{7} + 2244206347 T^{8} - 18973994722 T^{9} + 170914497967 T^{10} - 1300709706714 T^{11} + 10560472152227 T^{12} - 73418881260079 T^{13} + 543163868979413 T^{14} - 3455932748861364 T^{15} + 23356046366114759 T^{16} - 135751511449886071 T^{17} + 839631459407112089 T^{18} - 4446867646023529914 T^{19} + 25125874232255335381 T^{20} - \)\(11\!\cdots\!78\)\( T^{21} + \)\(61\!\cdots\!29\)\( T^{22} - \)\(25\!\cdots\!30\)\( T^{23} + \)\(11\!\cdots\!92\)\( T^{24} - \)\(39\!\cdots\!45\)\( T^{25} + \)\(14\!\cdots\!67\)\( T^{26} - \)\(37\!\cdots\!30\)\( T^{27} + \)\(10\!\cdots\!60\)\( T^{28} - \)\(16\!\cdots\!78\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 + 7 T + 280 T^{2} + 1941 T^{3} + 36819 T^{4} + 236723 T^{5} + 3001538 T^{6} + 16733085 T^{7} + 165369035 T^{8} + 722769475 T^{9} + 6000489869 T^{10} + 13527964722 T^{11} + 96083212813 T^{12} - 631486751266 T^{13} - 3979227070975 T^{14} - 67297683048261 T^{15} - 328242403752856 T^{16} - 2893800371075223 T^{17} - 7357590854232775 T^{18} - 50207617132905862 T^{19} + 328489384048297213 T^{20} + 1988725030740147846 T^{21} + 37931274933795450581 T^{22} + \)\(19\!\cdots\!25\)\( T^{23} + \)\(19\!\cdots\!35\)\( T^{24} + \)\(84\!\cdots\!55\)\( T^{25} + \)\(64\!\cdots\!62\)\( T^{26} + \)\(21\!\cdots\!61\)\( T^{27} + \)\(14\!\cdots\!19\)\( T^{28} + \)\(33\!\cdots\!63\)\( T^{29} + \)\(20\!\cdots\!20\)\( T^{30} + \)\(22\!\cdots\!49\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 24 T + 592 T^{2} - 9348 T^{3} + 142980 T^{4} - 1752895 T^{5} + 20798356 T^{6} - 214136244 T^{7} + 2148571462 T^{8} - 19448193533 T^{9} + 172725821415 T^{10} - 1414252044024 T^{11} + 11419490380082 T^{12} - 86096905346259 T^{13} + 642490138634096 T^{14} - 4510864259365808 T^{15} + 31426637548546866 T^{16} - 206774089004413650 T^{17} + 1351345414587515238 T^{18} - 8340588015567378992 T^{19} + 51082463452381070672 T^{20} - \)\(29\!\cdots\!59\)\( T^{21} + \)\(16\!\cdots\!26\)\( T^{22} - \)\(89\!\cdots\!76\)\( T^{23} + \)\(46\!\cdots\!05\)\( T^{24} - \)\(22\!\cdots\!33\)\( T^{25} + \)\(10\!\cdots\!66\)\( T^{26} - \)\(46\!\cdots\!56\)\( T^{27} + \)\(19\!\cdots\!92\)\( T^{28} - \)\(70\!\cdots\!95\)\( T^{29} + \)\(24\!\cdots\!40\)\( T^{30} - \)\(69\!\cdots\!52\)\( T^{31} + \)\(18\!\cdots\!44\)\( T^{32} - \)\(32\!\cdots\!24\)\( T^{33} + \)\(58\!\cdots\!43\)\( T^{34} \))(\( 1 - 14 T + 549 T^{2} - 6820 T^{3} + 143726 T^{4} - 1584177 T^{5} + 23783732 T^{6} - 233186315 T^{7} + 2788204622 T^{8} - 24433721975 T^{9} + 246932533669 T^{10} - 1948889093603 T^{11} + 17307675545829 T^{12} - 124476417920013 T^{13} + 1002146974725346 T^{14} - 6679497639856907 T^{15} + 50126118801442518 T^{16} - 315641818859088326 T^{17} + 2254037413381196544 T^{18} - 13572598210940798018 T^{19} + 92683193663867215782 T^{20} - \)\(53\!\cdots\!49\)\( T^{21} + \)\(34\!\cdots\!46\)\( T^{22} - \)\(18\!\cdots\!59\)\( T^{23} + \)\(10\!\cdots\!21\)\( T^{24} - \)\(52\!\cdots\!21\)\( T^{25} + \)\(28\!\cdots\!69\)\( T^{26} - \)\(12\!\cdots\!25\)\( T^{27} + \)\(60\!\cdots\!78\)\( T^{28} - \)\(21\!\cdots\!05\)\( T^{29} + \)\(95\!\cdots\!32\)\( T^{30} - \)\(27\!\cdots\!11\)\( T^{31} + \)\(10\!\cdots\!74\)\( T^{32} - \)\(21\!\cdots\!40\)\( T^{33} + \)\(75\!\cdots\!49\)\( T^{34} - \)\(82\!\cdots\!02\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 30 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 14 T + 126 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 + 91 T^{2} + 2209 T^{4} \))(\( 1 + 4 T + 48 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 185 T^{2} - 1178 T^{3} + 8695 T^{4} - 26508 T^{5} + 103823 T^{6} \))(\( 1 + 18 T + 215 T^{2} + 1628 T^{3} + 10105 T^{4} + 39762 T^{5} + 103823 T^{6} \))(\( 1 + 2 T - 69 T^{2} + 330 T^{3} + 2060 T^{4} - 27560 T^{5} + 96820 T^{6} + 728970 T^{7} - 7163787 T^{8} + 9759362 T^{9} + 229345007 T^{10} \))(\( 1 + 33 T + 731 T^{2} + 11689 T^{3} + 155668 T^{4} + 1750831 T^{5} + 17423194 T^{6} + 153511633 T^{7} + 1224155805 T^{8} + 8791568684 T^{9} + 57535322835 T^{10} + 339107197297 T^{11} + 1808928270662 T^{12} + 8543496764911 T^{13} + 35701678549676 T^{14} + 125998247980681 T^{15} + 370341501058453 T^{16} + 785772459838113 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 21 T + 553 T^{2} + 7851 T^{3} + 119484 T^{4} + 1281203 T^{5} + 14106542 T^{6} + 119696619 T^{7} + 1027292313 T^{8} + 7016410372 T^{9} + 48282738711 T^{10} + 264409831371 T^{11} + 1464583510066 T^{12} + 6251861936243 T^{13} + 27403058816388 T^{14} + 84627619547979 T^{15} + 280162585616039 T^{16} + 500037019896981 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 11 T + 341 T^{2} + 3677 T^{3} + 58093 T^{4} + 570324 T^{5} + 6371910 T^{6} + 54579015 T^{7} + 488092595 T^{8} + 3585361497 T^{9} + 26922298857 T^{10} + 168511990359 T^{11} + 1078196542355 T^{12} + 5666557074345 T^{13} + 31092888160710 T^{14} + 130800961772268 T^{15} + 626196956107597 T^{16} + 1862853213942451 T^{17} + 8119648751660501 T^{18} + 12310435204130437 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 5 T + 329 T^{2} - 1833 T^{3} + 53633 T^{4} - 315656 T^{5} + 5752315 T^{6} - 33930778 T^{7} + 451346755 T^{8} - 2538360143 T^{9} + 27155590093 T^{10} - 138648218480 T^{11} + 1276312734371 T^{12} - 5607237555887 T^{13} + 46860174144365 T^{14} - 165571372721818 T^{15} + 1319264723941205 T^{16} - 3402523993890824 T^{17} + 27171717819792079 T^{18} - 43646088451007913 T^{19} + 368193925650810343 T^{20} - 262995661179150245 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + 9 T + 360 T^{2} + 3370 T^{3} + 67576 T^{4} + 599737 T^{5} + 8476952 T^{6} + 68398336 T^{7} + 772296356 T^{8} + 5589296891 T^{9} + 53211192372 T^{10} + 343337239731 T^{11} + 2834031008272 T^{12} + 16136850267357 T^{13} + 117543523949748 T^{14} + 580297571114293 T^{15} + 3768559854742436 T^{16} + 15686816848708352 T^{17} + 91374890941597208 T^{18} + 303840630397118231 T^{19} + 1609071507455161336 T^{20} + 3771469694356324790 T^{21} + 18935687604898817640 T^{22} + 22249432935756110727 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 39 T + 1090 T^{2} + 21854 T^{3} + 367216 T^{4} + 5185909 T^{5} + 64830502 T^{6} + 718279434 T^{7} + 7231493212 T^{8} + 66085985151 T^{9} + 555999924570 T^{10} + 4292313068117 T^{11} + 30671679153186 T^{12} + 201738714201499 T^{13} + 1228203833375130 T^{14} + 6861245236332273 T^{15} + 35287380028225372 T^{16} + 164733801818686038 T^{17} + 698821940945165158 T^{18} + 2627301400017155867 T^{19} + 8743885442785227376 T^{20} + 24457477359187870018 T^{21} + 57333054137054753410 T^{22} + 96414209388276479817 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 17 T + 464 T^{2} - 5686 T^{3} + 90974 T^{4} - 885733 T^{5} + 10681964 T^{6} - 87324262 T^{7} + 877627620 T^{8} - 6260694267 T^{9} + 55426283558 T^{10} - 355210037125 T^{11} + 2854231203076 T^{12} - 16694871744875 T^{13} + 122436660379622 T^{14} - 650004060882741 T^{15} + 4282542822389220 T^{16} - 20027383479659834 T^{17} + 115143190092626156 T^{18} - 448732816357054379 T^{19} + 2166207992767045214 T^{20} - 6363375870062333162 T^{21} + 24405997357425142736 T^{22} - 42026706656428209151 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 31 T + 673 T^{2} + 10321 T^{3} + 135786 T^{4} + 1508237 T^{5} + 15403816 T^{6} + 141685579 T^{7} + 1240197472 T^{8} + 10066111811 T^{9} + 79024742706 T^{10} + 584017167800 T^{11} + 4229862118948 T^{12} + 29188059516122 T^{13} + 198803519590556 T^{14} + 1290093923670200 T^{15} + 8204585861965038 T^{16} + 49119414548012291 T^{17} + 284433097897222304 T^{18} + 1527259365055040491 T^{19} + 7803929328957886808 T^{20} + 35913063560874425357 T^{21} + \)\(15\!\cdots\!62\)\( T^{22} + \)\(54\!\cdots\!29\)\( T^{23} + \)\(16\!\cdots\!19\)\( T^{24} + \)\(36\!\cdots\!71\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 - 51 T + 1560 T^{2} - 34914 T^{3} + 630549 T^{4} - 9623404 T^{5} + 128011969 T^{6} - 1513551057 T^{7} + 16140051815 T^{8} - 156841568871 T^{9} + 1399968743299 T^{10} - 11542904010093 T^{11} + 88266659402653 T^{12} - 627386943857300 T^{13} + 4148532991924691 T^{14} - 25498274958295437 T^{15} + 145348954835532077 T^{16} - 765336823630010151 T^{17} + 3701640296491537705 T^{18} - 16314892754838552753 T^{19} + 64853823191392821647 T^{20} - \)\(22\!\cdots\!44\)\( T^{21} + \)\(70\!\cdots\!83\)\( T^{22} - \)\(18\!\cdots\!86\)\( T^{23} + \)\(38\!\cdots\!80\)\( T^{24} - \)\(59\!\cdots\!91\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 + 5 T + 108 T^{2} + 834 T^{3} + 9979 T^{4} + 52570 T^{5} + 728384 T^{6} + 3147180 T^{7} + 34342520 T^{8} + 142843542 T^{9} + 1603548382 T^{10} + 2692641629 T^{11} + 66383274386 T^{12} + 82051832838 T^{13} + 2309718426976 T^{14} + 3856436143386 T^{15} + 146640653118674 T^{16} + 279558131847667 T^{17} + 7824804572226142 T^{18} + 32760453139894794 T^{19} + 370185418020489080 T^{20} + 1594434152258744340 T^{21} + 17343760223840124224 T^{22} + 58832688971012461190 T^{23} + \)\(52\!\cdots\!71\)\( T^{24} + \)\(20\!\cdots\!02\)\( T^{25} + \)\(12\!\cdots\!28\)\( T^{26} + \)\(27\!\cdots\!35\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 23 T + 587 T^{2} - 8527 T^{3} + 128361 T^{4} - 1391374 T^{5} + 15732978 T^{6} - 138799973 T^{7} + 1313076468 T^{8} - 10035459526 T^{9} + 85125452888 T^{10} - 591236852706 T^{11} + 4693958809508 T^{12} - 30581128394315 T^{13} + 231494797644218 T^{14} - 1437313034532805 T^{15} + 10368955010203172 T^{16} - 61383983758495038 T^{17} + 415385055073968728 T^{18} - 2301582535238686682 T^{19} + 14153933992014777972 T^{20} - 70319275441440147499 T^{21} + \)\(37\!\cdots\!58\)\( T^{22} - \)\(15\!\cdots\!58\)\( T^{23} + \)\(67\!\cdots\!89\)\( T^{24} - \)\(21\!\cdots\!81\)\( T^{25} + \)\(68\!\cdots\!67\)\( T^{26} - \)\(12\!\cdots\!21\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 + 13 T + 489 T^{2} + 5629 T^{3} + 118299 T^{4} + 1213912 T^{5} + 18683709 T^{6} + 172331650 T^{7} + 2150720890 T^{8} + 17943989628 T^{9} + 191025112270 T^{10} + 1447027333053 T^{11} + 13521588448982 T^{12} + 93089919432783 T^{13} + 776714968369584 T^{14} + 4850266177107048 T^{15} + 36505603513370448 T^{16} + 205635632027017647 T^{17} + 1403851877538658186 T^{18} + 7061031783579396093 T^{19} + 43810655710738935890 T^{20} + \)\(19\!\cdots\!12\)\( T^{21} + \)\(10\!\cdots\!70\)\( T^{22} + \)\(41\!\cdots\!50\)\( T^{23} + \)\(20\!\cdots\!03\)\( T^{24} + \)\(63\!\cdots\!88\)\( T^{25} + \)\(29\!\cdots\!97\)\( T^{26} + \)\(65\!\cdots\!89\)\( T^{27} + \)\(26\!\cdots\!03\)\( T^{28} + \)\(33\!\cdots\!97\)\( T^{29} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 + 3 T + 376 T^{2} + 1154 T^{3} + 72094 T^{4} + 222561 T^{5} + 9359153 T^{6} + 28756095 T^{7} + 922524168 T^{8} + 2780914757 T^{9} + 73133381398 T^{10} + 212598772260 T^{11} + 4807558415534 T^{12} + 13236242060827 T^{13} + 266286758861368 T^{14} + 682040417593038 T^{15} + 12515477666484296 T^{16} + 29238858712366843 T^{17} + 499135137375986482 T^{18} + 1037414189620449060 T^{19} + 16772775868657979786 T^{20} + 29976078977296710053 T^{21} + \)\(46\!\cdots\!84\)\( T^{22} + \)\(68\!\cdots\!95\)\( T^{23} + \)\(10\!\cdots\!51\)\( T^{24} + \)\(11\!\cdots\!89\)\( T^{25} + \)\(17\!\cdots\!82\)\( T^{26} + \)\(13\!\cdots\!14\)\( T^{27} + \)\(20\!\cdots\!52\)\( T^{28} + \)\(77\!\cdots\!07\)\( T^{29} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 - 17 T + 629 T^{2} - 8697 T^{3} + 182290 T^{4} - 2137083 T^{5} + 32981459 T^{6} - 336908436 T^{7} + 4229769743 T^{8} - 38357994156 T^{9} + 412089048578 T^{10} - 3360131192127 T^{11} + 31802161574506 T^{12} - 235036225203819 T^{13} + 1994209290677718 T^{14} - 13410404699960575 T^{15} + 103030599758100840 T^{16} - 630289020898147025 T^{17} + 4405208323107079062 T^{18} - 24402166009336100037 T^{19} + \)\(15\!\cdots\!86\)\( T^{20} - \)\(77\!\cdots\!89\)\( T^{21} + \)\(44\!\cdots\!62\)\( T^{22} - \)\(19\!\cdots\!28\)\( T^{23} + \)\(10\!\cdots\!23\)\( T^{24} - \)\(37\!\cdots\!12\)\( T^{25} + \)\(17\!\cdots\!91\)\( T^{26} - \)\(52\!\cdots\!49\)\( T^{27} + \)\(21\!\cdots\!90\)\( T^{28} - \)\(47\!\cdots\!19\)\( T^{29} + \)\(16\!\cdots\!01\)\( T^{30} - \)\(20\!\cdots\!31\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 25 T + 694 T^{2} - 12218 T^{3} + 209931 T^{4} - 2939796 T^{5} + 39321311 T^{6} - 465335957 T^{7} + 5254420352 T^{8} - 54393835702 T^{9} + 538937226653 T^{10} - 4983721167035 T^{11} + 44249242386484 T^{12} - 370267979621862 T^{13} + 2981649884997362 T^{14} - 22748875605342038 T^{15} + 167250689643068156 T^{16} - 1167807891792401006 T^{17} + 7860782413224203332 T^{18} - 50252266212200561942 T^{19} + \)\(30\!\cdots\!26\)\( T^{20} - \)\(18\!\cdots\!22\)\( T^{21} + \)\(10\!\cdots\!88\)\( T^{22} - \)\(53\!\cdots\!15\)\( T^{23} + \)\(27\!\cdots\!39\)\( T^{24} - \)\(12\!\cdots\!22\)\( T^{25} + \)\(58\!\cdots\!84\)\( T^{26} - \)\(24\!\cdots\!93\)\( T^{27} + \)\(97\!\cdots\!33\)\( T^{28} - \)\(34\!\cdots\!36\)\( T^{29} + \)\(11\!\cdots\!37\)\( T^{30} - \)\(31\!\cdots\!42\)\( T^{31} + \)\(83\!\cdots\!42\)\( T^{32} - \)\(14\!\cdots\!25\)\( T^{33} + \)\(26\!\cdots\!87\)\( T^{34} \))(\( 1 - 23 T + 741 T^{2} - 12207 T^{3} + 235771 T^{4} - 3114850 T^{5} + 45784518 T^{6} - 513383173 T^{7} + 6279337831 T^{8} - 61815270005 T^{9} + 658749846039 T^{10} - 5820281943211 T^{11} + 55535761615763 T^{12} - 446990782069933 T^{13} + 3884610245187028 T^{14} - 28761638639182598 T^{15} + 230047607721019986 T^{16} - 1575714190816017722 T^{17} + 11664139906507149252 T^{18} - 74058566968352832934 T^{19} + \)\(50\!\cdots\!74\)\( T^{20} - \)\(29\!\cdots\!54\)\( T^{21} + \)\(18\!\cdots\!68\)\( T^{22} - \)\(10\!\cdots\!31\)\( T^{23} + \)\(59\!\cdots\!27\)\( T^{24} - \)\(29\!\cdots\!93\)\( T^{25} + \)\(15\!\cdots\!79\)\( T^{26} - \)\(69\!\cdots\!35\)\( T^{27} + \)\(33\!\cdots\!19\)\( T^{28} - \)\(12\!\cdots\!19\)\( T^{29} + \)\(53\!\cdots\!38\)\( T^{30} - \)\(17\!\cdots\!50\)\( T^{31} + \)\(60\!\cdots\!99\)\( T^{32} - \)\(14\!\cdots\!01\)\( T^{33} + \)\(42\!\cdots\!61\)\( T^{34} - \)\(61\!\cdots\!01\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))
$53$ (\( 1 + 10 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 - 5 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 + 6 T + 98 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 7 T + 114 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 110 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 104 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 119 T^{2} - 586 T^{3} + 6307 T^{4} - 22472 T^{5} + 148877 T^{6} \))(\( 1 + 4 T + 109 T^{2} + 492 T^{3} + 5777 T^{4} + 11236 T^{5} + 148877 T^{6} \))(\( 1 + 51 T + 1265 T^{2} + 20042 T^{3} + 225450 T^{4} + 1888428 T^{5} + 11948850 T^{6} + 56297978 T^{7} + 188329405 T^{8} + 402414531 T^{9} + 418195493 T^{10} \))(\( 1 + 38 T + 882 T^{2} + 15467 T^{3} + 222161 T^{4} + 2721796 T^{5} + 29162504 T^{6} + 277344973 T^{7} + 2362366855 T^{8} + 18113761198 T^{9} + 125205443315 T^{10} + 779062029157 T^{11} + 4341626108008 T^{12} + 21476279623876 T^{13} + 92906728920373 T^{14} + 342816173582243 T^{15} + 1036095225336234 T^{16} + 2365868235631718 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 18 T + 346 T^{2} - 3587 T^{3} + 39541 T^{4} - 300760 T^{5} + 2777314 T^{6} - 19902155 T^{7} + 179692251 T^{8} - 1204842118 T^{9} + 9523689303 T^{10} - 55905153395 T^{11} + 413478176378 T^{12} - 2373141065560 T^{13} + 16535867988713 T^{14} - 79503563369723 T^{15} + 406450054383602 T^{16} - 1120674427404498 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 10 T + 259 T^{2} - 2103 T^{3} + 31949 T^{4} - 217959 T^{5} + 2567581 T^{6} - 14800577 T^{7} + 158029633 T^{8} - 806685079 T^{9} + 8608947186 T^{10} - 42754309187 T^{11} + 443905239097 T^{12} - 2203465502029 T^{13} + 20259449096461 T^{14} - 91149471458787 T^{15} + 708129173710421 T^{16} - 2470417527077211 T^{17} + 16125259816542499 T^{18} - 32997635918021330 T^{19} + 174887470365513049 T^{20} \))(\( 1 - 4 T + 358 T^{2} - 1083 T^{3} + 64590 T^{4} - 154134 T^{5} + 7743098 T^{6} - 15086476 T^{7} + 681928356 T^{8} - 1119335328 T^{9} + 46146111705 T^{10} - 66001103740 T^{11} + 2445743920365 T^{12} - 3144212936352 T^{13} + 101523447856212 T^{14} - 119039552234956 T^{15} + 3238128685457314 T^{16} - 3416281638257286 T^{17} + 75874592522071830 T^{18} - 67427244715503963 T^{19} + 1181315365865163614 T^{20} - 699549881462052196 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 20 T + 581 T^{2} + 8283 T^{3} + 139580 T^{4} + 1543475 T^{5} + 19206044 T^{6} + 173182900 T^{7} + 1758732284 T^{8} + 13514192530 T^{9} + 120237008673 T^{10} + 828703350888 T^{11} + 6822150931480 T^{12} + 43921277597064 T^{13} + 337745757362457 T^{14} + 2011952441288810 T^{15} + 13877243670988604 T^{16} + 72424308244669700 T^{17} + 425689695075463676 T^{18} + 1813137276559913575 T^{19} + 8690207587617768380 T^{20} + 27331941830897067639 T^{21} + \)\(10\!\cdots\!69\)\( T^{22} + \)\(18\!\cdots\!40\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 12 T + 371 T^{2} + 3511 T^{3} + 65744 T^{4} + 547111 T^{5} + 7917460 T^{6} + 60182284 T^{7} + 723632532 T^{8} + 5039272704 T^{9} + 52348346519 T^{10} + 332737115496 T^{11} + 3069637940326 T^{12} + 17635067121288 T^{13} + 147046505371871 T^{14} + 750231802353408 T^{15} + 5709808744727892 T^{16} + 25167959927246012 T^{17} + 175485442664412340 T^{18} + 642697386427360907 T^{19} + 4093201086404517584 T^{20} + 11585469970817288963 T^{21} + 64883251505605341179 T^{22} + \)\(11\!\cdots\!64\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 16 T + 433 T^{2} - 5287 T^{3} + 83680 T^{4} - 852745 T^{5} + 10286760 T^{6} - 92434638 T^{7} + 935668110 T^{8} - 7594384286 T^{9} + 67264421767 T^{10} - 496098920228 T^{11} + 3933649475484 T^{12} - 26293242772084 T^{13} + 188945760743503 T^{14} - 1130629149346822 T^{15} + 7382871444260910 T^{16} - 38655749008686534 T^{17} + 227999463487352040 T^{18} - 1001729050940302565 T^{19} + 5209890893622688480 T^{20} - 17445850109857877171 T^{21} + 75726274668267150217 T^{22} - \)\(14\!\cdots\!52\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 612 T^{2} + 9089 T^{3} + 174171 T^{4} + 2190572 T^{5} + 30766548 T^{6} + 333632813 T^{7} + 3782395856 T^{8} + 35782585650 T^{9} + 342785355521 T^{10} + 2847418774638 T^{11} + 23600654112331 T^{12} + 172375037800432 T^{13} + 1250834667953543 T^{14} + 7998399337958142 T^{15} + 51032855373899917 T^{16} + 282341812202197650 T^{17} + 1581780899721077008 T^{18} + 7394758151816125877 T^{19} + 36141806669929772676 T^{20} + \)\(13\!\cdots\!92\)\( T^{21} + \)\(57\!\cdots\!43\)\( T^{22} + \)\(15\!\cdots\!61\)\( T^{23} + \)\(56\!\cdots\!64\)\( T^{24} + \)\(88\!\cdots\!38\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 - 22 T + 488 T^{2} - 7421 T^{3} + 108527 T^{4} - 1316586 T^{5} + 15279134 T^{6} - 158391231 T^{7} + 1573290378 T^{8} - 14395264056 T^{9} + 126501629661 T^{10} - 1040128415944 T^{11} + 8211474815871 T^{12} - 60991183170232 T^{13} + 435208165241163 T^{14} - 2921720720386696 T^{15} + 18833183119040697 T^{16} - 113585557523850936 T^{17} + 657942945259866354 T^{18} - 3510640443550859799 T^{19} + 17948568916862261158 T^{20} - 81970236759932133546 T^{21} + \)\(35\!\cdots\!91\)\( T^{22} - \)\(12\!\cdots\!29\)\( T^{23} + \)\(45\!\cdots\!36\)\( T^{24} - \)\(10\!\cdots\!02\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 + 28 T + 865 T^{2} + 16805 T^{3} + 315953 T^{4} + 4776423 T^{5} + 68224903 T^{6} + 849440353 T^{7} + 9956349108 T^{8} + 105356345911 T^{9} + 1050511959867 T^{10} + 9619621891904 T^{11} + 83127371576140 T^{12} + 665067997538084 T^{13} + 5025878685011278 T^{14} + 35248603869518452 T^{15} + 233504786757377260 T^{16} + 1432140448400991808 T^{17} + 8289044659603326027 T^{18} + 44059549018929179123 T^{19} + \)\(22\!\cdots\!32\)\( T^{20} + \)\(99\!\cdots\!61\)\( T^{21} + \)\(42\!\cdots\!83\)\( T^{22} + \)\(15\!\cdots\!59\)\( T^{23} + \)\(55\!\cdots\!97\)\( T^{24} + \)\(15\!\cdots\!85\)\( T^{25} + \)\(42\!\cdots\!65\)\( T^{26} + \)\(72\!\cdots\!44\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 14 T + 575 T^{2} - 6761 T^{3} + 157421 T^{4} - 1617061 T^{5} + 27549317 T^{6} - 251792207 T^{7} + 3454867610 T^{8} - 28346204099 T^{9} + 328830025245 T^{10} - 2429356807874 T^{11} + 24504928986448 T^{12} - 162782323681576 T^{13} + 1452638878832510 T^{14} - 8627463155123528 T^{15} + 68834345522932432 T^{16} - 361675353485857498 T^{17} + 2594627066425192845 T^{18} - 11854254797859925807 T^{19} + 76574933360925131690 T^{20} - \)\(29\!\cdots\!59\)\( T^{21} + \)\(17\!\cdots\!37\)\( T^{22} - \)\(53\!\cdots\!13\)\( T^{23} + \)\(27\!\cdots\!29\)\( T^{24} - \)\(62\!\cdots\!17\)\( T^{25} + \)\(28\!\cdots\!75\)\( T^{26} - \)\(36\!\cdots\!22\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 + 3 T + 266 T^{2} + 472 T^{3} + 35001 T^{4} + 26475 T^{5} + 3104269 T^{6} - 1570261 T^{7} + 209675310 T^{8} - 446343666 T^{9} + 11725090916 T^{10} - 48736424104 T^{11} + 572459855377 T^{12} - 3737550259838 T^{13} + 27190631941812 T^{14} - 221771613025706 T^{15} + 1441103492916036 T^{16} - 10498778679884942 T^{17} + 85226105888961629 T^{18} - 384553828400554024 T^{19} + 4903380176086441588 T^{20} - 9892922200865758914 T^{21} + \)\(24\!\cdots\!70\)\( T^{22} - 97763963725034135221 T^{23} + \)\(10\!\cdots\!77\)\( T^{24} + \)\(46\!\cdots\!75\)\( T^{25} + \)\(32\!\cdots\!97\)\( T^{26} + \)\(23\!\cdots\!52\)\( T^{27} + \)\(69\!\cdots\!18\)\( T^{28} + \)\(41\!\cdots\!07\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 - 20 T + 634 T^{2} - 9649 T^{3} + 177546 T^{4} - 2184578 T^{5} + 29909044 T^{6} - 309029348 T^{7} + 3458063473 T^{8} - 30866750176 T^{9} + 297872055731 T^{10} - 2360610113499 T^{11} + 20499325201175 T^{12} - 148836286801886 T^{13} + 1207273682389064 T^{14} - 8275077947317784 T^{15} + 63985505166620392 T^{16} - 418081129626497774 T^{17} + 3051878037975330475 T^{18} - 18626349248971703019 T^{19} + \)\(12\!\cdots\!83\)\( T^{20} - \)\(68\!\cdots\!04\)\( T^{21} + \)\(40\!\cdots\!01\)\( T^{22} - \)\(19\!\cdots\!28\)\( T^{23} + \)\(98\!\cdots\!52\)\( T^{24} - \)\(38\!\cdots\!22\)\( T^{25} + \)\(16\!\cdots\!62\)\( T^{26} - \)\(47\!\cdots\!09\)\( T^{27} + \)\(16\!\cdots\!82\)\( T^{28} - \)\(27\!\cdots\!80\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 + 36 T + 913 T^{2} + 17113 T^{3} + 273000 T^{4} + 3797961 T^{5} + 48030646 T^{6} + 559307132 T^{7} + 6086072311 T^{8} + 62301564302 T^{9} + 603767934710 T^{10} + 5563808699135 T^{11} + 48921478505296 T^{12} + 411558232788555 T^{13} + 3318250510963467 T^{14} + 25672798469365790 T^{15} + 190714644740855808 T^{16} + 1360658318876386870 T^{17} + 9320965685296378803 T^{18} + 61271555022861702735 T^{19} + \)\(38\!\cdots\!76\)\( T^{20} + \)\(23\!\cdots\!55\)\( T^{21} + \)\(13\!\cdots\!90\)\( T^{22} + \)\(73\!\cdots\!74\)\( T^{23} + \)\(37\!\cdots\!71\)\( T^{24} + \)\(18\!\cdots\!56\)\( T^{25} + \)\(83\!\cdots\!54\)\( T^{26} + \)\(35\!\cdots\!17\)\( T^{27} + \)\(13\!\cdots\!00\)\( T^{28} + \)\(44\!\cdots\!49\)\( T^{29} + \)\(12\!\cdots\!97\)\( T^{30} + \)\(26\!\cdots\!52\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 15 T + 626 T^{2} + 7628 T^{3} + 186034 T^{4} + 1952826 T^{5} + 35881329 T^{6} + 334572283 T^{7} + 5083742205 T^{8} + 42832497803 T^{9} + 563605750307 T^{10} + 4334400167675 T^{11} + 50710780831141 T^{12} + 358058725305920 T^{13} + 3785273088154228 T^{14} + 24604202633250126 T^{15} + 237390547574488873 T^{16} + 1420438944530240840 T^{17} + 12581699021447910269 T^{18} + 69113205196799603934 T^{19} + \)\(56\!\cdots\!56\)\( T^{20} + \)\(28\!\cdots\!20\)\( T^{21} + \)\(21\!\cdots\!13\)\( T^{22} + \)\(96\!\cdots\!75\)\( T^{23} + \)\(66\!\cdots\!59\)\( T^{24} + \)\(26\!\cdots\!83\)\( T^{25} + \)\(16\!\cdots\!65\)\( T^{26} + \)\(58\!\cdots\!67\)\( T^{27} + \)\(33\!\cdots\!13\)\( T^{28} + \)\(95\!\cdots\!66\)\( T^{29} + \)\(48\!\cdots\!82\)\( T^{30} + \)\(10\!\cdots\!32\)\( T^{31} + \)\(45\!\cdots\!82\)\( T^{32} + \)\(58\!\cdots\!15\)\( T^{33} + \)\(20\!\cdots\!13\)\( T^{34} \))(\( 1 - 35 T + 1155 T^{2} - 25059 T^{3} + 502688 T^{4} - 8188080 T^{5} + 124669969 T^{6} - 1657860931 T^{7} + 20852007580 T^{8} - 237388224826 T^{9} + 2581703816168 T^{10} - 25949379578692 T^{11} + 251166628633634 T^{12} - 2276845702804859 T^{13} + 19997323184747463 T^{14} - 165888417942464178 T^{15} + 1338837197211085553 T^{16} - 10254490604937057020 T^{17} + 76573656546083961498 T^{18} - \)\(54\!\cdots\!60\)\( T^{19} + \)\(37\!\cdots\!77\)\( T^{20} - \)\(24\!\cdots\!06\)\( T^{21} + \)\(15\!\cdots\!03\)\( T^{22} - \)\(95\!\cdots\!87\)\( T^{23} + \)\(55\!\cdots\!86\)\( T^{24} - \)\(30\!\cdots\!04\)\( T^{25} + \)\(16\!\cdots\!48\)\( T^{26} - \)\(78\!\cdots\!58\)\( T^{27} + \)\(36\!\cdots\!20\)\( T^{28} - \)\(15\!\cdots\!07\)\( T^{29} + \)\(61\!\cdots\!29\)\( T^{30} - \)\(21\!\cdots\!40\)\( T^{31} + \)\(69\!\cdots\!72\)\( T^{32} - \)\(18\!\cdots\!63\)\( T^{33} + \)\(44\!\cdots\!55\)\( T^{34} - \)\(71\!\cdots\!55\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))
$59$ (\( 1 + 7 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 9 T + 32 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 - 3 T + 82 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 122 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 2 T + 69 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 5 T + 126 T^{2} + 669 T^{3} + 7434 T^{4} + 17405 T^{5} + 205379 T^{6} \))(\( 1 + 8 T + 174 T^{2} + 852 T^{3} + 10266 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 181 T^{2} + 564 T^{3} + 13773 T^{4} + 26912 T^{5} + 812607 T^{6} + 1963284 T^{7} + 37173599 T^{8} + 72704166 T^{9} + 714924299 T^{10} \))(\( 1 + 25 T + 598 T^{2} + 8836 T^{3} + 125382 T^{4} + 1372240 T^{5} + 14739200 T^{6} + 132023743 T^{7} + 1178625939 T^{8} + 9043301631 T^{9} + 69538930401 T^{10} + 459574649383 T^{11} + 3027122156800 T^{12} + 16627927458640 T^{13} + 89638638457218 T^{14} + 372707195251876 T^{15} + 1488213587921762 T^{16} + 3670760940108025 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 24 T + 608 T^{2} + 9483 T^{3} + 143623 T^{4} + 1690806 T^{5} + 19093649 T^{6} + 180916580 T^{7} + 1644078538 T^{8} + 12890317302 T^{9} + 97000633742 T^{10} + 629770614980 T^{11} + 3921434537971 T^{12} + 20488106682966 T^{13} + 102679572595277 T^{14} + 399998000517603 T^{15} + 1513100102769952 T^{16} + 3523930502503704 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 48 T + 1397 T^{2} - 29899 T^{3} + 515643 T^{4} - 7496897 T^{5} + 94494448 T^{6} - 1051155012 T^{7} + 10442210777 T^{8} - 93326855634 T^{9} + 753680756568 T^{10} - 5506284482406 T^{11} + 36349335714737 T^{12} - 215885165209548 T^{13} + 1145023338911728 T^{14} - 5359713832400203 T^{15} + 21750096908246163 T^{16} - 74408190744603281 T^{17} + 205122121333236437 T^{18} - 415823799295437072 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 3 T + 337 T^{2} + 653 T^{3} + 54931 T^{4} + 20565 T^{5} + 5713388 T^{6} - 8678897 T^{7} + 433413093 T^{8} - 1457795542 T^{9} + 27327791296 T^{10} - 114696285801 T^{11} + 1612339686464 T^{12} - 5074586281702 T^{13} + 89013947627247 T^{14} - 105165328030817 T^{15} + 4084639910815012 T^{16} + 867442674327165 T^{17} + 136704114712592489 T^{18} + 95880275755621613 T^{19} + 2919429590886714443 T^{20} + 1533350259901924203 T^{21} + 30155888444737842659 T^{22} \))(\( 1 + 40 T + 1161 T^{2} + 24261 T^{3} + 430313 T^{4} + 6457521 T^{5} + 86708896 T^{6} + 1038402718 T^{7} + 11398105862 T^{8} + 114189382914 T^{9} + 1060951626121 T^{10} + 9091107561317 T^{11} + 72603581799797 T^{12} + 536375346117703 T^{13} + 3693172610527201 T^{14} + 23452101273494406 T^{15} + 138114963446070182 T^{16} + 742379335245844682 T^{17} + 3657427504701970336 T^{18} + 16070519224899873699 T^{19} + 63183046096828182473 T^{20} + \)\(21\!\cdots\!79\)\( T^{21} + \)\(59\!\cdots\!61\)\( T^{22} + \)\(12\!\cdots\!60\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 31 T + 808 T^{2} + 14340 T^{3} + 230574 T^{4} + 3077994 T^{5} + 38490757 T^{6} + 426262086 T^{7} + 4476186001 T^{8} + 42724731691 T^{9} + 388658707957 T^{10} + 3252176259949 T^{11} + 25999079228736 T^{12} + 191878399336991 T^{13} + 1352920962398317 T^{14} + 8774762669965889 T^{15} + 54239561677263361 T^{16} + 304745123023827714 T^{17} + 1623560670506056237 T^{18} + 7660054338363973086 T^{19} + 33855281320178710254 T^{20} + \)\(12\!\cdots\!60\)\( T^{21} + \)\(41\!\cdots\!08\)\( T^{22} + \)\(93\!\cdots\!29\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 18 T + 379 T^{2} + 5333 T^{3} + 72877 T^{4} + 832185 T^{5} + 9430470 T^{6} + 93856030 T^{7} + 926700800 T^{8} + 8332128940 T^{9} + 73466502059 T^{10} + 597015785815 T^{11} + 4782238545323 T^{12} + 35223931363085 T^{13} + 255736893667379 T^{14} + 1711244309568260 T^{15} + 11229168132588800 T^{16} + 67099956454672970 T^{17} + 397782257085441270 T^{18} + 2071018435894099515 T^{19} + 10700561801290101517 T^{20} + 46199756700886789687 T^{21} + \)\(19\!\cdots\!79\)\( T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 26 T + 780 T^{2} + 14283 T^{3} + 259520 T^{4} + 3714108 T^{5} + 51243883 T^{6} + 606747949 T^{7} + 6892568008 T^{8} + 69858783616 T^{9} + 680156950983 T^{10} + 6025001249269 T^{11} + 51377017177444 T^{12} + 402038632511938 T^{13} + 3031244013469196 T^{14} + 20973029348705389 T^{15} + 139689954435937557 T^{16} + 846504100095957376 T^{17} + 4927664351429226392 T^{18} + 25592952274402252309 T^{19} + \)\(12\!\cdots\!77\)\( T^{20} + \)\(54\!\cdots\!68\)\( T^{21} + \)\(22\!\cdots\!80\)\( T^{22} + \)\(73\!\cdots\!83\)\( T^{23} + \)\(23\!\cdots\!20\)\( T^{24} + \)\(46\!\cdots\!06\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 - 28 T + 853 T^{2} - 16125 T^{3} + 295885 T^{4} - 4319897 T^{5} + 59962091 T^{6} - 721400864 T^{7} + 8227243646 T^{8} - 84550820145 T^{9} + 824493261175 T^{10} - 7384592717967 T^{11} + 62836520833927 T^{12} - 495063001027676 T^{13} + 3707354729201693 T^{14} - 25705767251243127 T^{15} + 169333601486860325 T^{16} - 1024532810543037345 T^{17} + 5881856396318754154 T^{18} - 30429073412598465824 T^{19} + \)\(14\!\cdots\!29\)\( T^{20} - \)\(63\!\cdots\!37\)\( T^{21} + \)\(25\!\cdots\!15\)\( T^{22} - \)\(82\!\cdots\!25\)\( T^{23} + \)\(25\!\cdots\!27\)\( T^{24} - \)\(49\!\cdots\!68\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 - 36 T + 1033 T^{2} - 20225 T^{3} + 343660 T^{4} - 4775775 T^{5} + 60094109 T^{6} - 659944355 T^{7} + 6748598257 T^{8} - 62377696199 T^{9} + 549829220231 T^{10} - 4503133538109 T^{11} + 36193754400129 T^{12} - 278623723335545 T^{13} + 2167852129562256 T^{14} - 16438799676797155 T^{15} + 125990459066849049 T^{16} - 924849062923288311 T^{17} + 6662479149887530391 T^{18} - 44595330728305039501 T^{19} + \)\(28\!\cdots\!37\)\( T^{20} - \)\(16\!\cdots\!45\)\( T^{21} + \)\(88\!\cdots\!89\)\( T^{22} - \)\(41\!\cdots\!25\)\( T^{23} + \)\(17\!\cdots\!60\)\( T^{24} - \)\(60\!\cdots\!75\)\( T^{25} + \)\(18\!\cdots\!73\)\( T^{26} - \)\(37\!\cdots\!44\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 - 10 T + 419 T^{2} - 3781 T^{3} + 87102 T^{4} - 726079 T^{5} + 12370749 T^{6} - 96908013 T^{7} + 1368153123 T^{8} - 10083676665 T^{9} + 123848793045 T^{10} - 852937734751 T^{11} + 9352513700175 T^{12} - 59852872477763 T^{13} + 597708911306704 T^{14} - 3531319476188017 T^{15} + 32556100190309175 T^{16} - 175175499025425629 T^{17} + 1500720534740554245 T^{18} - 7209065471067782835 T^{19} + 57709428830740710843 T^{20} - \)\(24\!\cdots\!47\)\( T^{21} + \)\(18\!\cdots\!29\)\( T^{22} - \)\(62\!\cdots\!81\)\( T^{23} + \)\(44\!\cdots\!02\)\( T^{24} - \)\(11\!\cdots\!79\)\( T^{25} + \)\(74\!\cdots\!39\)\( T^{26} - \)\(10\!\cdots\!90\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 14 T + 418 T^{2} + 5401 T^{3} + 92241 T^{4} + 1052178 T^{5} + 13733823 T^{6} + 138219424 T^{7} + 1516595758 T^{8} + 13729798456 T^{9} + 132748492648 T^{10} + 1103264013436 T^{11} + 9748093696790 T^{12} + 75914482656598 T^{13} + 631035480794393 T^{14} + 4685338086559930 T^{15} + 37231093366869187 T^{16} + 264258314127617638 T^{17} + 2002053735353033410 T^{18} + 13368648329112862396 T^{19} + 94905123049678053752 T^{20} + \)\(57\!\cdots\!96\)\( T^{21} + \)\(37\!\cdots\!02\)\( T^{22} + \)\(20\!\cdots\!04\)\( T^{23} + \)\(11\!\cdots\!97\)\( T^{24} + \)\(53\!\cdots\!78\)\( T^{25} + \)\(27\!\cdots\!19\)\( T^{26} + \)\(96\!\cdots\!81\)\( T^{27} + \)\(43\!\cdots\!22\)\( T^{28} + \)\(86\!\cdots\!54\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 - 40 T + 1294 T^{2} - 29953 T^{3} + 605439 T^{4} - 10382672 T^{5} + 161086491 T^{6} - 2238356232 T^{7} + 28683258172 T^{8} - 337300886548 T^{9} + 3698965390838 T^{10} - 37697855537284 T^{11} + 360630634634788 T^{12} - 3227630431782912 T^{13} + 27209257285379897 T^{14} - 215229242565379918 T^{15} + 1605346179837413923 T^{16} - 11235381533036316672 T^{17} + 74065959110658124652 T^{18} - \)\(45\!\cdots\!24\)\( T^{19} + \)\(26\!\cdots\!62\)\( T^{20} - \)\(14\!\cdots\!68\)\( T^{21} + \)\(71\!\cdots\!68\)\( T^{22} - \)\(32\!\cdots\!72\)\( T^{23} + \)\(13\!\cdots\!49\)\( T^{24} - \)\(53\!\cdots\!72\)\( T^{25} + \)\(18\!\cdots\!01\)\( T^{26} - \)\(53\!\cdots\!93\)\( T^{27} + \)\(13\!\cdots\!26\)\( T^{28} - \)\(24\!\cdots\!40\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 - 53 T + 2054 T^{2} - 58020 T^{3} + 1378208 T^{4} - 27787940 T^{5} + 496055541 T^{6} - 7897503110 T^{7} + 114208673280 T^{8} - 1507410007798 T^{9} + 18334736549823 T^{10} - 206108939702655 T^{11} + 2153377265525746 T^{12} - 20941741366850577 T^{13} + 190198271160677726 T^{14} - 1613914978078759911 T^{15} + 12817854684594220410 T^{16} - 95220983706646834749 T^{17} + \)\(66\!\cdots\!06\)\( T^{18} - \)\(43\!\cdots\!83\)\( T^{19} + \)\(26\!\cdots\!06\)\( T^{20} - \)\(14\!\cdots\!45\)\( T^{21} + \)\(77\!\cdots\!43\)\( T^{22} - \)\(37\!\cdots\!62\)\( T^{23} + \)\(16\!\cdots\!80\)\( T^{24} - \)\(68\!\cdots\!90\)\( T^{25} + \)\(25\!\cdots\!41\)\( T^{26} - \)\(83\!\cdots\!60\)\( T^{27} + \)\(24\!\cdots\!48\)\( T^{28} - \)\(60\!\cdots\!80\)\( T^{29} + \)\(12\!\cdots\!94\)\( T^{30} - \)\(19\!\cdots\!47\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 16 T + 692 T^{2} - 10431 T^{3} + 243426 T^{4} - 3336906 T^{5} + 56571657 T^{6} - 697912251 T^{7} + 9617477587 T^{8} - 106881874736 T^{9} + 1263468857887 T^{10} - 12706993859966 T^{11} + 132654404682112 T^{12} - 1213038085695312 T^{13} + 11371597153381255 T^{14} - 94851369797687568 T^{15} + 806249537441222545 T^{16} - 6140160515320885100 T^{17} + 47568722709032130155 T^{18} - \)\(33\!\cdots\!08\)\( T^{19} + \)\(23\!\cdots\!45\)\( T^{20} - \)\(14\!\cdots\!32\)\( T^{21} + \)\(94\!\cdots\!88\)\( T^{22} - \)\(53\!\cdots\!06\)\( T^{23} + \)\(31\!\cdots\!53\)\( T^{24} - \)\(15\!\cdots\!56\)\( T^{25} + \)\(83\!\cdots\!93\)\( T^{26} - \)\(35\!\cdots\!51\)\( T^{27} + \)\(17\!\cdots\!63\)\( T^{28} - \)\(59\!\cdots\!86\)\( T^{29} + \)\(25\!\cdots\!54\)\( T^{30} - \)\(64\!\cdots\!91\)\( T^{31} + \)\(25\!\cdots\!08\)\( T^{32} - \)\(34\!\cdots\!56\)\( T^{33} + \)\(12\!\cdots\!19\)\( T^{34} \))(\( 1 - 28 T + 781 T^{2} - 14667 T^{3} + 262716 T^{4} - 3880741 T^{5} + 54744059 T^{6} - 682906523 T^{7} + 8200419278 T^{8} - 90064041135 T^{9} + 959797107134 T^{10} - 9541809697466 T^{11} + 92639012187609 T^{12} - 849118718446760 T^{13} + 7632129186763419 T^{14} - 65196690732858150 T^{15} + 547179333839191908 T^{16} - 4377547739312982214 T^{17} + 34425791621315858302 T^{18} - \)\(25\!\cdots\!26\)\( T^{19} + \)\(19\!\cdots\!48\)\( T^{20} - \)\(13\!\cdots\!50\)\( T^{21} + \)\(92\!\cdots\!59\)\( T^{22} - \)\(60\!\cdots\!40\)\( T^{23} + \)\(39\!\cdots\!69\)\( T^{24} - \)\(23\!\cdots\!54\)\( T^{25} + \)\(14\!\cdots\!14\)\( T^{26} - \)\(78\!\cdots\!65\)\( T^{27} + \)\(41\!\cdots\!78\)\( T^{28} - \)\(20\!\cdots\!57\)\( T^{29} + \)\(97\!\cdots\!79\)\( T^{30} - \)\(40\!\cdots\!39\)\( T^{31} + \)\(16\!\cdots\!76\)\( T^{32} - \)\(53\!\cdots\!33\)\( T^{33} + \)\(16\!\cdots\!21\)\( T^{34} - \)\(35\!\cdots\!32\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))
$61$ (\( 1 - 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( 1 + 9 T + 138 T^{2} + 549 T^{3} + 3721 T^{4} \))(\( 1 + 4 T + 114 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 120 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 18 T + 255 T^{2} + 2250 T^{3} + 15555 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 29 T^{2} + 724 T^{3} + 1769 T^{4} + 226981 T^{6} \))(\( 1 + 23 T + 475 T^{2} + 6034 T^{3} + 68444 T^{4} + 564864 T^{5} + 4175084 T^{6} + 22452514 T^{7} + 107815975 T^{8} + 318454343 T^{9} + 844596301 T^{10} \))(\( 1 + 10 T + 213 T^{2} + 1636 T^{3} + 24454 T^{4} + 163520 T^{5} + 2052270 T^{6} + 12263416 T^{7} + 147500303 T^{8} + 819376538 T^{9} + 8997518483 T^{10} + 45632170936 T^{11} + 465826296870 T^{12} + 2264071920320 T^{13} + 20653757944654 T^{14} + 84287332454596 T^{15} + 669404224072473 T^{16} + 1917073129972810 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 4 T + 215 T^{2} + 1414 T^{3} + 27958 T^{4} + 233890 T^{5} + 2533608 T^{6} + 24913092 T^{7} + 184343481 T^{8} + 1802227950 T^{9} + 11244952341 T^{10} + 92701615332 T^{11} + 575080877448 T^{12} + 3238403751490 T^{13} + 23613223383358 T^{14} + 72849809346454 T^{15} + 675689709744515 T^{16} + 766829251989124 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 6 T + 364 T^{2} - 1080 T^{3} + 60393 T^{4} - 65012 T^{5} + 6799382 T^{6} - 714566 T^{7} + 589547841 T^{8} + 157756164 T^{9} + 40314851298 T^{10} + 9623126004 T^{11} + 2193707516361 T^{12} - 162192905246 T^{13} + 94143162070262 T^{14} - 54908894720612 T^{15} + 3111469968783873 T^{16} - 3394162262902680 T^{17} + 69781461931010284 T^{18} - 70164876557004846 T^{19} + 713342911662882601 T^{20} \))(\( 1 + 28 T + 617 T^{2} + 9064 T^{3} + 120877 T^{4} + 1368862 T^{5} + 15239995 T^{6} + 154580446 T^{7} + 1509455175 T^{8} + 13382245528 T^{9} + 113490138343 T^{10} + 897696430894 T^{11} + 6922898438923 T^{12} + 49795335609688 T^{13} + 342617645076675 T^{14} + 2140296277025086 T^{15} + 12871643404258495 T^{16} + 70524282688547182 T^{17} + 379885325789710417 T^{18} + 1737635085007354984 T^{19} + 7215288139278664997 T^{20} + 19973601526560712828 T^{21} + 43513917611435838661 T^{22} \))(\( 1 + 2 T + 176 T^{2} - 298 T^{3} + 20206 T^{4} - 52766 T^{5} + 2047592 T^{6} - 7218146 T^{7} + 167523352 T^{8} - 660733286 T^{9} + 12727531816 T^{10} - 47040483586 T^{11} + 824275602780 T^{12} - 2869469498746 T^{13} + 47359145887336 T^{14} - 149973901989566 T^{15} + 2319501695579032 T^{16} - 6096419411677946 T^{17} + 105492706378588712 T^{18} - 165829968485484086 T^{19} + 3873637966423059886 T^{20} - 3484855535664574018 T^{21} + \)\(12\!\cdots\!76\)\( T^{22} + 87027835222871677322 T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 2 T + 436 T^{2} - 582 T^{3} + 90614 T^{4} - 83852 T^{5} + 12364690 T^{6} - 9073086 T^{7} + 1269927026 T^{8} - 833775516 T^{9} + 104347807104 T^{10} - 63062391712 T^{11} + 7016928093718 T^{12} - 3846805894432 T^{13} + 388278190233984 T^{14} - 189251200397196 T^{15} + 17583207683598866 T^{16} - 7663094874254886 T^{17} + 637033457657713090 T^{18} - 263525272286032892 T^{19} + 17371366459935620534 T^{20} - 6805993026029470062 T^{21} + \)\(31\!\cdots\!36\)\( T^{22} - 87027835222871677322 T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 594 T^{2} + 9536 T^{3} + 148894 T^{4} + 1911992 T^{5} + 23475622 T^{6} + 256917176 T^{7} + 2668393768 T^{8} + 25597993232 T^{9} + 232293705362 T^{10} + 1978005914200 T^{11} + 15911752949420 T^{12} + 120658360766200 T^{13} + 864364877652002 T^{14} + 5810258101792592 T^{15} + 36946155837118888 T^{16} + 216991296512965976 T^{17} + 1209472833797327542 T^{18} + 6008899160529463832 T^{19} + 28544068661417157214 T^{20} + \)\(11\!\cdots\!76\)\( T^{21} + \)\(42\!\cdots\!94\)\( T^{22} + \)\(10\!\cdots\!64\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 12 T + 469 T^{2} + 4628 T^{3} + 106812 T^{4} + 922960 T^{5} + 16267824 T^{6} + 126779108 T^{7} + 1866002644 T^{8} + 13257450768 T^{9} + 169844543456 T^{10} + 1101947717060 T^{11} + 12581039944810 T^{12} + 74344933398488 T^{13} + 767443436633410 T^{14} + 4100347455180260 T^{15} + 38551484318186336 T^{16} + 183560555399055888 T^{17} + 1576018930778619844 T^{18} + 6531707105313649988 T^{19} + 51125587333650488304 T^{20} + \)\(17\!\cdots\!60\)\( T^{21} + \)\(12\!\cdots\!92\)\( T^{22} + \)\(33\!\cdots\!28\)\( T^{23} + \)\(20\!\cdots\!09\)\( T^{24} + \)\(31\!\cdots\!52\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 - 26 T + 767 T^{2} - 12788 T^{3} + 223814 T^{4} - 2825360 T^{5} + 37360326 T^{6} - 389170340 T^{7} + 4310709522 T^{8} - 39244814232 T^{9} + 385370603626 T^{10} - 3168935478708 T^{11} + 28248702992644 T^{12} - 211901281634868 T^{13} + 1723170882551284 T^{14} - 11791608916272468 T^{15} + 87471804981633106 T^{16} - 543377457930809112 T^{17} + 3640809316966678122 T^{18} - 20050201606997652740 T^{19} + \)\(11\!\cdots\!46\)\( T^{20} - \)\(54\!\cdots\!60\)\( T^{21} + \)\(26\!\cdots\!74\)\( T^{22} - \)\(91\!\cdots\!88\)\( T^{23} + \)\(33\!\cdots\!87\)\( T^{24} - \)\(69\!\cdots\!46\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 - 38 T + 966 T^{2} - 17246 T^{3} + 256771 T^{4} - 3273692 T^{5} + 38596104 T^{6} - 422290136 T^{7} + 4388636958 T^{8} - 42663758288 T^{9} + 394476090900 T^{10} - 3468942582940 T^{11} + 29628603034520 T^{12} - 243971616534028 T^{13} + 1947422187965112 T^{14} - 14882268608575708 T^{15} + 110248031891448920 T^{16} - 787384056418304140 T^{17} + 5461853232902946900 T^{18} - 36033652436802892688 T^{19} + \)\(22\!\cdots\!38\)\( T^{20} - \)\(13\!\cdots\!56\)\( T^{21} + \)\(73\!\cdots\!24\)\( T^{22} - \)\(38\!\cdots\!72\)\( T^{23} + \)\(18\!\cdots\!71\)\( T^{24} - \)\(75\!\cdots\!06\)\( T^{25} + \)\(25\!\cdots\!86\)\( T^{26} - \)\(61\!\cdots\!78\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 272 T^{2} + 1040 T^{3} + 40613 T^{4} + 276816 T^{5} + 4926768 T^{6} + 39105392 T^{7} + 525818464 T^{8} + 4036393648 T^{9} + 47726656600 T^{10} + 344486302512 T^{11} + 3646604659370 T^{12} + 24904605586384 T^{13} + 239037880562752 T^{14} + 1519180940769424 T^{15} + 13569015937515770 T^{16} + 78191845430476272 T^{17} + 660815698745200600 T^{18} + 3409123144480696048 T^{19} + 27090364111206001504 T^{20} + \)\(12\!\cdots\!32\)\( T^{21} + \)\(94\!\cdots\!08\)\( T^{22} + \)\(32\!\cdots\!56\)\( T^{23} + \)\(28\!\cdots\!13\)\( T^{24} + \)\(45\!\cdots\!40\)\( T^{25} + \)\(72\!\cdots\!12\)\( T^{26} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 5 T + 481 T^{2} - 2878 T^{3} + 122405 T^{4} - 775279 T^{5} + 21509837 T^{6} - 135857028 T^{7} + 2869499324 T^{8} - 17552869650 T^{9} + 305214063820 T^{10} - 1773976916816 T^{11} + 26626707017462 T^{12} - 144896092210304 T^{13} + 1935230229246126 T^{14} - 9726108085937456 T^{15} + 118049043984013686 T^{16} - 539158359114541184 T^{17} + 6043756585530542222 T^{18} - 24562202327904562256 T^{19} + \)\(25\!\cdots\!20\)\( T^{20} - \)\(90\!\cdots\!50\)\( T^{21} + \)\(90\!\cdots\!04\)\( T^{22} - \)\(26\!\cdots\!68\)\( T^{23} + \)\(25\!\cdots\!17\)\( T^{24} - \)\(55\!\cdots\!79\)\( T^{25} + \)\(53\!\cdots\!05\)\( T^{26} - \)\(76\!\cdots\!38\)\( T^{27} + \)\(77\!\cdots\!61\)\( T^{28} - \)\(49\!\cdots\!05\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 - 2 T + 641 T^{2} - 1420 T^{3} + 200387 T^{4} - 474222 T^{5} + 40571595 T^{6} - 99823368 T^{7} + 5963201450 T^{8} - 14878281268 T^{9} + 676055541470 T^{10} - 1665802427072 T^{11} + 61275456366968 T^{12} - 144698865620936 T^{13} + 4533924843152816 T^{14} - 9913567524094352 T^{15} + 276569415432321776 T^{16} - 538424478975502856 T^{17} + 13908364361630763608 T^{18} - 23064435542653007552 T^{19} + \)\(57\!\cdots\!70\)\( T^{20} - \)\(76\!\cdots\!48\)\( T^{21} + \)\(18\!\cdots\!50\)\( T^{22} - \)\(19\!\cdots\!08\)\( T^{23} + \)\(47\!\cdots\!95\)\( T^{24} - \)\(33\!\cdots\!22\)\( T^{25} + \)\(87\!\cdots\!07\)\( T^{26} - \)\(37\!\cdots\!20\)\( T^{27} + \)\(10\!\cdots\!21\)\( T^{28} - \)\(19\!\cdots\!82\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 - 34 T + 1064 T^{2} - 22434 T^{3} + 437036 T^{4} - 7030108 T^{5} + 106121038 T^{6} - 1416632082 T^{7} + 17942667751 T^{8} - 207431578622 T^{9} + 2291471070544 T^{10} - 23495219613202 T^{11} + 231222109393272 T^{12} - 2131632951073428 T^{13} + 18910901169635386 T^{14} - 157902107708003882 T^{15} + 1270283921326043720 T^{16} - 9632028570188236802 T^{17} + 70367463252213271306 T^{18} - \)\(48\!\cdots\!68\)\( T^{19} + \)\(32\!\cdots\!52\)\( T^{20} - \)\(19\!\cdots\!02\)\( T^{21} + \)\(11\!\cdots\!84\)\( T^{22} - \)\(65\!\cdots\!62\)\( T^{23} + \)\(34\!\cdots\!31\)\( T^{24} - \)\(16\!\cdots\!62\)\( T^{25} + \)\(75\!\cdots\!38\)\( T^{26} - \)\(30\!\cdots\!88\)\( T^{27} + \)\(11\!\cdots\!56\)\( T^{28} - \)\(36\!\cdots\!54\)\( T^{29} + \)\(10\!\cdots\!24\)\( T^{30} - \)\(20\!\cdots\!34\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 5 T + 607 T^{2} + 3638 T^{3} + 185628 T^{4} + 1223984 T^{5} + 38208016 T^{6} + 261205930 T^{7} + 5918057343 T^{8} + 40349317469 T^{9} + 729132631557 T^{10} + 4834465524392 T^{11} + 73760476831710 T^{12} + 467284272452070 T^{13} + 6245901169936830 T^{14} + 37274342382208360 T^{15} + 447719062151805708 T^{16} + 2483319805869915088 T^{17} + 27310862791260148188 T^{18} + \)\(13\!\cdots\!60\)\( T^{19} + \)\(14\!\cdots\!30\)\( T^{20} + \)\(64\!\cdots\!70\)\( T^{21} + \)\(62\!\cdots\!10\)\( T^{22} + \)\(24\!\cdots\!12\)\( T^{23} + \)\(22\!\cdots\!97\)\( T^{24} + \)\(77\!\cdots\!89\)\( T^{25} + \)\(69\!\cdots\!63\)\( T^{26} + \)\(18\!\cdots\!30\)\( T^{27} + \)\(16\!\cdots\!76\)\( T^{28} + \)\(32\!\cdots\!64\)\( T^{29} + \)\(30\!\cdots\!68\)\( T^{30} + \)\(35\!\cdots\!58\)\( T^{31} + \)\(36\!\cdots\!07\)\( T^{32} + \)\(18\!\cdots\!05\)\( T^{33} + \)\(22\!\cdots\!21\)\( T^{34} \))(\( 1 - 19 T + 818 T^{2} - 13203 T^{3} + 316103 T^{4} - 4430376 T^{5} + 77610336 T^{6} - 961606184 T^{7} + 13713146763 T^{8} - 152472202619 T^{9} + 1869601293154 T^{10} - 18884848864763 T^{11} + 205534947117647 T^{12} - 1903843775691774 T^{13} + 18755099966122260 T^{14} - 160311276445917342 T^{15} + 1446934422384855694 T^{16} - 11448542570393238632 T^{17} + 95346931707012526768 T^{18} - \)\(69\!\cdots\!52\)\( T^{19} + \)\(53\!\cdots\!74\)\( T^{20} - \)\(36\!\cdots\!02\)\( T^{21} + \)\(25\!\cdots\!60\)\( T^{22} - \)\(16\!\cdots\!74\)\( T^{23} + \)\(10\!\cdots\!67\)\( T^{24} - \)\(59\!\cdots\!23\)\( T^{25} + \)\(35\!\cdots\!74\)\( T^{26} - \)\(17\!\cdots\!79\)\( T^{27} + \)\(97\!\cdots\!63\)\( T^{28} - \)\(41\!\cdots\!24\)\( T^{29} + \)\(20\!\cdots\!56\)\( T^{30} - \)\(71\!\cdots\!56\)\( T^{31} + \)\(31\!\cdots\!23\)\( T^{32} - \)\(79\!\cdots\!03\)\( T^{33} + \)\(30\!\cdots\!98\)\( T^{34} - \)\(42\!\cdots\!99\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))
$67$ (\( 1 + 3 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 3 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 11 T + 126 T^{2} + 737 T^{3} + 4489 T^{4} \))(\( 1 - 17 T + 202 T^{2} - 1139 T^{3} + 4489 T^{4} \))(\( ( 1 - 10 T + 67 T^{2} )^{2} \))(\( 1 + 14 T + 181 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 - 3 T + 200 T^{2} - 401 T^{3} + 13400 T^{4} - 13467 T^{5} + 300763 T^{6} \))(\( 1 + 8 T + 182 T^{2} + 924 T^{3} + 12194 T^{4} + 35912 T^{5} + 300763 T^{6} \))(\( 1 + 185 T^{2} - 850 T^{3} + 14129 T^{4} - 111424 T^{5} + 946643 T^{6} - 3815650 T^{7} + 55641155 T^{8} + 1350125107 T^{10} \))(\( 1 + 19 T + 364 T^{2} + 3968 T^{3} + 47546 T^{4} + 407038 T^{5} + 4235261 T^{6} + 32861357 T^{7} + 318758463 T^{8} + 2313027443 T^{9} + 21356817021 T^{10} + 147514631573 T^{11} + 1273809804143 T^{12} + 8202271989598 T^{13} + 64193048337422 T^{14} + 358938860446592 T^{15} + 2206099024337572 T^{16} + 7715285873576179 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 20 T + 322 T^{2} + 3931 T^{3} + 40781 T^{4} + 393806 T^{5} + 3501928 T^{6} + 29623749 T^{7} + 246047197 T^{8} + 1964890708 T^{9} + 16485162199 T^{10} + 132981009261 T^{11} + 1053250371064 T^{12} + 7935632356526 T^{13} + 55059451988567 T^{14} + 355591900306339 T^{15} + 1951549136914006 T^{16} + 8121353551132820 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 16 T + 175 T^{2} + 1771 T^{3} + 29673 T^{4} + 311287 T^{5} + 2897589 T^{6} + 25717241 T^{7} + 281311965 T^{8} + 2250863241 T^{9} + 18751434862 T^{10} + 150807837147 T^{11} + 1262809410885 T^{12} + 7734794554883 T^{13} + 58389666547269 T^{14} + 420276394182709 T^{15} + 2684171574100737 T^{16} + 10733520253027033 T^{17} + 71061843572412175 T^{18} + 435304550340719152 T^{19} + 1822837804551761449 T^{20} \))(\( 1 + 11 T + 533 T^{2} + 5647 T^{3} + 141097 T^{4} + 1375763 T^{5} + 24052419 T^{6} + 210843487 T^{7} + 2900895668 T^{8} + 22541880302 T^{9} + 258473110501 T^{10} + 1757331741721 T^{11} + 17317698403567 T^{12} + 101190500675678 T^{13} + 872482083794684 T^{14} + 4248732618598927 T^{15} + 32473774775983833 T^{16} + 124449295227969947 T^{17} + 855148225376259331 T^{18} + 2293064175162351727 T^{19} + 14501082833225206751 T^{20} + 20051215850069375939 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + 203 T^{2} - 1653 T^{3} + 25713 T^{4} - 310863 T^{5} + 3705801 T^{6} - 34459049 T^{7} + 419233594 T^{8} - 3391553363 T^{9} + 35405670481 T^{10} - 287155488668 T^{11} + 2519671129167 T^{12} - 19239417740756 T^{13} + 158936054789209 T^{14} - 1020053764115969 T^{15} + 8448026879958874 T^{16} - 46524027218243243 T^{17} + 335220763100262369 T^{18} - 1884050991765523749 T^{19} + 10441218193013910033 T^{20} - 44972401357075547391 T^{21} + \)\(37\!\cdots\!47\)\( T^{22} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 5 T + 560 T^{2} - 2082 T^{3} + 146588 T^{4} - 375780 T^{5} + 24134764 T^{6} - 37675704 T^{7} + 2845105193 T^{8} - 2257906415 T^{9} + 259334865163 T^{10} - 96016784643 T^{11} + 19148597508258 T^{12} - 6433124571081 T^{13} + 1164154209716707 T^{14} - 679094707094645 T^{15} + 57332059001871353 T^{16} - 50866913894300328 T^{17} + 2183191705470623116 T^{18} - 2277494207048276940 T^{19} + 59524648717672890908 T^{20} - 56644004613086079654 T^{21} + \)\(10\!\cdots\!40\)\( T^{22} - \)\(61\!\cdots\!15\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 20 T + 631 T^{2} + 9525 T^{3} + 174147 T^{4} + 2188813 T^{5} + 30015465 T^{6} + 329936085 T^{7} + 3727143312 T^{8} + 36488842733 T^{9} + 354600272471 T^{10} + 3106410739786 T^{11} + 26613648425057 T^{12} + 208129519565662 T^{13} + 1591800623122319 T^{14} + 10974493806905279 T^{15} + 75106115864452752 T^{16} + 445454992063786095 T^{17} + 2715150403950243585 T^{18} + 13265764350981851599 T^{19} + 70715467843456360227 T^{20} + \)\(25\!\cdots\!75\)\( T^{21} + \)\(11\!\cdots\!19\)\( T^{22} + \)\(24\!\cdots\!60\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 30 T + 1034 T^{2} + 20823 T^{3} + 428094 T^{4} + 6634480 T^{5} + 102310478 T^{6} + 1301604380 T^{7} + 16372727049 T^{8} + 177209822168 T^{9} + 1894530085989 T^{10} + 17800630676409 T^{11} + 165254338844016 T^{12} + 1360658985865460 T^{13} + 11072040702549072 T^{14} + 79907031106400001 T^{15} + 569804552252309607 T^{16} + 3570976568895850328 T^{17} + 22105229858912919243 T^{18} + \)\(11\!\cdots\!20\)\( T^{19} + \)\(62\!\cdots\!94\)\( T^{20} + \)\(26\!\cdots\!80\)\( T^{21} + \)\(11\!\cdots\!18\)\( T^{22} + \)\(37\!\cdots\!27\)\( T^{23} + \)\(12\!\cdots\!22\)\( T^{24} + \)\(24\!\cdots\!30\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 - 24 T + 831 T^{2} - 14465 T^{3} + 299527 T^{4} - 4207921 T^{5} + 65850200 T^{6} - 782875903 T^{7} + 10058429706 T^{8} - 103679938886 T^{9} + 1137175797913 T^{10} - 10287758196992 T^{11} + 98282744324150 T^{12} - 783757316547682 T^{13} + 6584943869718050 T^{14} - 46181746546297088 T^{15} + 342020404507707619 T^{16} - 2089266993764391206 T^{17} + 13580138483065228542 T^{18} - 70817687624474973607 T^{19} + \)\(39\!\cdots\!00\)\( T^{20} - \)\(17\!\cdots\!61\)\( T^{21} + \)\(81\!\cdots\!69\)\( T^{22} - \)\(26\!\cdots\!85\)\( T^{23} + \)\(10\!\cdots\!73\)\( T^{24} - \)\(19\!\cdots\!64\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 + 10 T + 663 T^{2} + 6521 T^{3} + 212836 T^{4} + 2023929 T^{5} + 43995654 T^{6} + 398641400 T^{7} + 6569547975 T^{8} + 56019319264 T^{9} + 753388979146 T^{10} + 5976409416623 T^{11} + 68778538783215 T^{12} + 501207083320041 T^{13} + 5097912424751364 T^{14} + 33580874582442747 T^{15} + 308746860597852135 T^{16} + 1797482825371783349 T^{17} + 15181632478837522666 T^{18} + 75633089415375161248 T^{19} + \)\(59\!\cdots\!75\)\( T^{20} + \)\(24\!\cdots\!00\)\( T^{21} + \)\(17\!\cdots\!14\)\( T^{22} + \)\(55\!\cdots\!63\)\( T^{23} + \)\(38\!\cdots\!64\)\( T^{24} + \)\(79\!\cdots\!43\)\( T^{25} + \)\(54\!\cdots\!43\)\( T^{26} + \)\(54\!\cdots\!70\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 28 T + 755 T^{2} - 14051 T^{3} + 243406 T^{4} - 3558925 T^{5} + 48678988 T^{6} - 600228268 T^{7} + 6970113029 T^{8} - 75271022400 T^{9} + 770074929522 T^{10} - 7448903442193 T^{11} + 68555897740251 T^{12} - 601744632945683 T^{13} + 5036524937463460 T^{14} - 40316890407360761 T^{15} + 307747424955986739 T^{16} - 2240354545984293259 T^{17} + 15517873083864294162 T^{18} - \)\(10\!\cdots\!00\)\( T^{19} + \)\(63\!\cdots\!01\)\( T^{20} - \)\(36\!\cdots\!64\)\( T^{21} + \)\(19\!\cdots\!08\)\( T^{22} - \)\(96\!\cdots\!75\)\( T^{23} + \)\(44\!\cdots\!94\)\( T^{24} - \)\(17\!\cdots\!33\)\( T^{25} + \)\(61\!\cdots\!55\)\( T^{26} - \)\(15\!\cdots\!36\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 + 44 T + 1246 T^{2} + 26027 T^{3} + 453299 T^{4} + 6842474 T^{5} + 93314246 T^{6} + 1168618349 T^{7} + 13685802275 T^{8} + 150818623842 T^{9} + 1576939483827 T^{10} + 15675930471433 T^{11} + 148855555601455 T^{12} + 1351409899198028 T^{13} + 11768562881814739 T^{14} + 98282693641369782 T^{15} + 788493713081587513 T^{16} + 6066479037499947692 T^{17} + 44770243469360410165 T^{18} + \)\(31\!\cdots\!93\)\( T^{19} + \)\(21\!\cdots\!89\)\( T^{20} + \)\(13\!\cdots\!98\)\( T^{21} + \)\(82\!\cdots\!25\)\( T^{22} + \)\(47\!\cdots\!09\)\( T^{23} + \)\(25\!\cdots\!62\)\( T^{24} + \)\(12\!\cdots\!26\)\( T^{25} + \)\(55\!\cdots\!17\)\( T^{26} + \)\(21\!\cdots\!47\)\( T^{27} + \)\(68\!\cdots\!02\)\( T^{28} + \)\(16\!\cdots\!76\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 + 2 T + 746 T^{2} + 2309 T^{3} + 263523 T^{4} + 1107658 T^{5} + 58912532 T^{6} + 310006547 T^{7} + 9409846761 T^{8} + 58055533440 T^{9} + 1150091899393 T^{10} + 7806800297175 T^{11} + 112395660825471 T^{12} + 783885944927040 T^{13} + 9031593775925637 T^{14} + 59976677284772042 T^{15} + 605116782987017679 T^{16} + 3518864006777482560 T^{17} + 33804456136851134373 T^{18} + \)\(15\!\cdots\!75\)\( T^{19} + \)\(15\!\cdots\!51\)\( T^{20} + \)\(52\!\cdots\!60\)\( T^{21} + \)\(57\!\cdots\!03\)\( T^{22} + \)\(12\!\cdots\!27\)\( T^{23} + \)\(16\!\cdots\!04\)\( T^{24} + \)\(20\!\cdots\!42\)\( T^{25} + \)\(32\!\cdots\!09\)\( T^{26} + \)\(18\!\cdots\!49\)\( T^{27} + \)\(40\!\cdots\!02\)\( T^{28} + \)\(73\!\cdots\!58\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 + 13 T + 520 T^{2} + 5916 T^{3} + 134362 T^{4} + 1370762 T^{5} + 23367066 T^{6} + 218926252 T^{7} + 3125839920 T^{8} + 27311066850 T^{9} + 344573040849 T^{10} + 2823992642027 T^{11} + 32363829954948 T^{12} + 249098938160095 T^{13} + 2635621717292117 T^{14} + 19058378205421269 T^{15} + 188182292118403490 T^{16} + 1276911339763225023 T^{17} + 11831305888924313213 T^{18} + 74919743937844652485 T^{19} + \)\(65\!\cdots\!08\)\( T^{20} + \)\(38\!\cdots\!89\)\( T^{21} + \)\(31\!\cdots\!81\)\( T^{22} + \)\(16\!\cdots\!50\)\( T^{23} + \)\(12\!\cdots\!20\)\( T^{24} + \)\(59\!\cdots\!44\)\( T^{25} + \)\(42\!\cdots\!34\)\( T^{26} + \)\(16\!\cdots\!46\)\( T^{27} + \)\(10\!\cdots\!82\)\( T^{28} + \)\(32\!\cdots\!92\)\( T^{29} + \)\(19\!\cdots\!80\)\( T^{30} + \)\(31\!\cdots\!59\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 50 T + 1870 T^{2} - 50595 T^{3} + 1169408 T^{4} - 22991524 T^{5} + 405906310 T^{6} - 6433966800 T^{7} + 93914257120 T^{8} - 1262557164584 T^{9} + 15856793814281 T^{10} - 185999426577146 T^{11} + 2055938243441140 T^{12} - 21397238281652020 T^{13} + 210938301985320124 T^{14} - 1966913253872756267 T^{15} + 17420913761934560952 T^{16} - \)\(14\!\cdots\!88\)\( T^{17} + \)\(11\!\cdots\!84\)\( T^{18} - \)\(88\!\cdots\!63\)\( T^{19} + \)\(63\!\cdots\!12\)\( T^{20} - \)\(43\!\cdots\!20\)\( T^{21} + \)\(27\!\cdots\!80\)\( T^{22} - \)\(16\!\cdots\!74\)\( T^{23} + \)\(96\!\cdots\!63\)\( T^{24} - \)\(51\!\cdots\!44\)\( T^{25} + \)\(25\!\cdots\!40\)\( T^{26} - \)\(11\!\cdots\!00\)\( T^{27} + \)\(49\!\cdots\!30\)\( T^{28} - \)\(18\!\cdots\!64\)\( T^{29} + \)\(64\!\cdots\!96\)\( T^{30} - \)\(18\!\cdots\!55\)\( T^{31} + \)\(46\!\cdots\!10\)\( T^{32} - \)\(82\!\cdots\!50\)\( T^{33} + \)\(11\!\cdots\!27\)\( T^{34} \))(\( 1 - 34 T + 1129 T^{2} - 24955 T^{3} + 509876 T^{4} - 8562077 T^{5} + 133032882 T^{6} - 1816498416 T^{7} + 23086212146 T^{8} - 265399716084 T^{9} + 2854132592523 T^{10} - 28175544736884 T^{11} + 261507101196673 T^{12} - 2253277958760220 T^{13} + 18462919318748040 T^{14} - 143505639664735365 T^{15} + 1098286459543743344 T^{16} - 8398840241313002165 T^{17} + 67274279630936070564 T^{18} - \)\(56\!\cdots\!55\)\( T^{19} + \)\(49\!\cdots\!16\)\( T^{20} - \)\(43\!\cdots\!95\)\( T^{21} + \)\(37\!\cdots\!40\)\( T^{22} - \)\(30\!\cdots\!40\)\( T^{23} + \)\(23\!\cdots\!37\)\( T^{24} - \)\(17\!\cdots\!32\)\( T^{25} + \)\(11\!\cdots\!43\)\( T^{26} - \)\(72\!\cdots\!48\)\( T^{27} + \)\(42\!\cdots\!54\)\( T^{28} - \)\(22\!\cdots\!28\)\( T^{29} + \)\(10\!\cdots\!02\)\( T^{30} - \)\(46\!\cdots\!99\)\( T^{31} + \)\(18\!\cdots\!04\)\( T^{32} - \)\(61\!\cdots\!65\)\( T^{33} + \)\(18\!\cdots\!49\)\( T^{34} - \)\(37\!\cdots\!18\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))
$71$ (\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 5 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 110 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 11 T + 134 T^{2} - 781 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 + 8 T + 30 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 181 T^{2} + 600 T^{3} + 12851 T^{4} + 20164 T^{5} + 357911 T^{6} \))(\( 1 - 8 T + 165 T^{2} - 1008 T^{3} + 11715 T^{4} - 40328 T^{5} + 357911 T^{6} \))(\( 1 - 9 T + 187 T^{2} - 1500 T^{3} + 22434 T^{4} - 143254 T^{5} + 1592814 T^{6} - 7561500 T^{7} + 66929357 T^{8} - 228705129 T^{9} + 1804229351 T^{10} \))(\( 1 + 43 T + 1250 T^{2} + 26537 T^{3} + 464310 T^{4} + 6823092 T^{5} + 87406863 T^{6} + 981563961 T^{7} + 9819184763 T^{8} + 87402239446 T^{9} + 697162118173 T^{10} + 4948063927401 T^{11} + 31283877743193 T^{12} + 173386237337652 T^{13} + 837721729962810 T^{14} + 3399397234411577 T^{15} + 11368900197988750 T^{16} + 27767401843567723 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 13 T + 426 T^{2} + 4681 T^{3} + 88394 T^{4} + 846234 T^{5} + 11948845 T^{6} + 99424923 T^{7} + 1152524519 T^{8} + 8282865646 T^{9} + 81829240849 T^{10} + 501201036843 T^{11} + 4276623062795 T^{12} + 21504228459354 T^{13} + 159483049252294 T^{14} + 599637429034201 T^{15} + 3874521187474566 T^{16} + 8394795906194893 T^{17} + 45848500718449031 T^{18} \))(\( 1 - 53 T + 1739 T^{2} - 40852 T^{3} + 769072 T^{4} - 12041041 T^{5} + 162892475 T^{6} - 1937266759 T^{7} + 20662631226 T^{8} - 199367257321 T^{9} + 1757560009722 T^{10} - 14155075269791 T^{11} + 104160324010266 T^{12} - 693369082980449 T^{13} + 4139371612000475 T^{14} - 21724799588794391 T^{15} + 98518341555691312 T^{16} - 371553848710589132 T^{17} + 1122965390836378379 T^{18} - 2429970538077798643 T^{19} + 3255243551009881201 T^{20} \))(\( 1 - 5 T + 314 T^{2} - 1255 T^{3} + 43943 T^{4} - 141791 T^{5} + 4065141 T^{6} - 13865596 T^{7} + 331849017 T^{8} - 1568830920 T^{9} + 26338503710 T^{10} - 138712848290 T^{11} + 1870033763410 T^{12} - 7908476667720 T^{13} + 118772413523487 T^{14} - 352348102426876 T^{15} + 7334446708153491 T^{16} - 18163467357442511 T^{17} + 399666865120175713 T^{18} - 810420681713430055 T^{19} + 14396429225592995734 T^{20} - 16276217755049406005 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + 17 T + 589 T^{2} + 7754 T^{3} + 153831 T^{4} + 1688848 T^{5} + 24948848 T^{6} + 239108837 T^{7} + 2926459568 T^{8} + 25255156044 T^{9} + 271586463959 T^{10} + 2148484785990 T^{11} + 20970054828360 T^{12} + 152542419805290 T^{13} + 1369067364817319 T^{14} + 9039098154864084 T^{15} + 74366257001413808 T^{16} + 431407181798874787 T^{17} + 3195954512301873008 T^{18} + 15360275489258323568 T^{19} + 99336911465066660391 T^{20} + \)\(35\!\cdots\!74\)\( T^{21} + \)\(19\!\cdots\!89\)\( T^{22} + \)\(39\!\cdots\!07\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 31 T + 817 T^{2} + 14340 T^{3} + 234575 T^{4} + 3136436 T^{5} + 40730482 T^{6} + 462778555 T^{7} + 5166517270 T^{8} + 51677433716 T^{9} + 508898141273 T^{10} + 4543612805808 T^{11} + 40097499459292 T^{12} + 322596509212368 T^{13} + 2565355530157193 T^{14} + 18495921978727276 T^{15} + 131289888746230870 T^{16} + 834958651944367805 T^{17} + 5217586308439179922 T^{18} + 28526262289103234476 T^{19} + \)\(15\!\cdots\!75\)\( T^{20} + \)\(65\!\cdots\!40\)\( T^{21} + \)\(26\!\cdots\!17\)\( T^{22} + \)\(71\!\cdots\!01\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T + 509 T^{2} + 4572 T^{3} + 135857 T^{4} + 1153564 T^{5} + 24284088 T^{6} + 191049741 T^{7} + 3195633514 T^{8} + 22992738648 T^{9} + 323854711207 T^{10} + 2105841280252 T^{11} + 25833235455728 T^{12} + 149514730897892 T^{13} + 1632551599194487 T^{14} + 8229354082244328 T^{15} + 81206419450677034 T^{16} + 344697550213148091 T^{17} + 3110798567562549048 T^{18} + 10491803190394155524 T^{19} + 87730137494455352177 T^{20} + \)\(20\!\cdots\!32\)\( T^{21} + \)\(16\!\cdots\!09\)\( T^{22} + \)\(20\!\cdots\!39\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 3 T + 374 T^{2} + 487 T^{3} + 67586 T^{4} - 18472 T^{5} + 8559221 T^{6} - 14967777 T^{7} + 883071626 T^{8} - 2607236895 T^{9} + 78726580543 T^{10} - 281175192966 T^{11} + 6253640056189 T^{12} - 22428235946776 T^{13} + 444008443989419 T^{14} - 1417404147741606 T^{15} + 28177109168725673 T^{16} - 66254272267170495 T^{17} + 1593263746664494726 T^{18} - 1917376483366213617 T^{19} + 77847143457223573411 T^{20} - 11928359229171697192 T^{21} + \)\(30\!\cdots\!66\)\( T^{22} + \)\(15\!\cdots\!87\)\( T^{23} + \)\(86\!\cdots\!54\)\( T^{24} + \)\(49\!\cdots\!23\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 - 9 T + 618 T^{2} - 5089 T^{3} + 182932 T^{4} - 1370778 T^{5} + 34742559 T^{6} - 235891027 T^{7} + 4783023794 T^{8} - 29389253967 T^{9} + 510676581247 T^{10} - 2845721954700 T^{11} + 44023581773345 T^{12} - 223036230797180 T^{13} + 3125674305907495 T^{14} - 14345284373642700 T^{15} + 182776765870695017 T^{16} - 746830346637388527 T^{17} + 8629671915666177694 T^{18} - 30217707533116276867 T^{19} + \)\(31\!\cdots\!69\)\( T^{20} - \)\(88\!\cdots\!58\)\( T^{21} + \)\(83\!\cdots\!92\)\( T^{22} - \)\(16\!\cdots\!89\)\( T^{23} + \)\(14\!\cdots\!78\)\( T^{24} - \)\(14\!\cdots\!69\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 - 27 T + 1103 T^{2} - 22752 T^{3} + 538540 T^{4} - 9001541 T^{5} + 157717255 T^{6} - 2211249801 T^{7} + 31303884997 T^{8} - 375993176608 T^{9} + 4482471400339 T^{10} - 46707090598123 T^{11} + 479210959111294 T^{12} - 4359603092830676 T^{13} + 38926868422051342 T^{14} - 309531819590977996 T^{15} + 2415702444880033054 T^{16} - 16716981503064801053 T^{17} + \)\(11\!\cdots\!59\)\( T^{18} - \)\(67\!\cdots\!08\)\( T^{19} + \)\(40\!\cdots\!37\)\( T^{20} - \)\(20\!\cdots\!91\)\( T^{21} + \)\(10\!\cdots\!55\)\( T^{22} - \)\(41\!\cdots\!71\)\( T^{23} + \)\(17\!\cdots\!40\)\( T^{24} - \)\(52\!\cdots\!92\)\( T^{25} + \)\(18\!\cdots\!23\)\( T^{26} - \)\(31\!\cdots\!97\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 35 T + 1005 T^{2} + 19658 T^{3} + 349408 T^{4} + 5122779 T^{5} + 71168883 T^{6} + 871868305 T^{7} + 10346270755 T^{8} + 111688801248 T^{9} + 1180343030365 T^{10} + 11507754384969 T^{11} + 110239345185436 T^{12} + 979826278399366 T^{13} + 8564861554328902 T^{14} + 69567665766354986 T^{15} + 555716539079782876 T^{16} + 4118751879678639759 T^{17} + 29994500558208693565 T^{18} + \)\(20\!\cdots\!48\)\( T^{19} + \)\(13\!\cdots\!55\)\( T^{20} + \)\(79\!\cdots\!55\)\( T^{21} + \)\(45\!\cdots\!63\)\( T^{22} + \)\(23\!\cdots\!49\)\( T^{23} + \)\(11\!\cdots\!08\)\( T^{24} + \)\(45\!\cdots\!18\)\( T^{25} + \)\(16\!\cdots\!05\)\( T^{26} + \)\(40\!\cdots\!85\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 12 T + 535 T^{2} + 5464 T^{3} + 129381 T^{4} + 1144761 T^{5} + 18751802 T^{6} + 140004699 T^{7} + 1751140911 T^{8} + 9650976292 T^{9} + 97151557788 T^{10} + 126316715858 T^{11} + 1254209721522 T^{12} - 47929857494809 T^{13} - 269598543578638 T^{14} - 5337477089607786 T^{15} - 19141496594083298 T^{16} - 241614411631332169 T^{17} + 448895455639660542 T^{18} + 3209920088351137298 T^{19} + \)\(17\!\cdots\!88\)\( T^{20} + \)\(12\!\cdots\!32\)\( T^{21} + \)\(15\!\cdots\!01\)\( T^{22} + \)\(90\!\cdots\!39\)\( T^{23} + \)\(85\!\cdots\!62\)\( T^{24} + \)\(37\!\cdots\!61\)\( T^{25} + \)\(29\!\cdots\!51\)\( T^{26} + \)\(89\!\cdots\!24\)\( T^{27} + \)\(62\!\cdots\!85\)\( T^{28} + \)\(99\!\cdots\!72\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 - 23 T + 958 T^{2} - 17519 T^{3} + 418711 T^{4} - 6391655 T^{5} + 113231137 T^{6} - 1488196074 T^{7} + 21488313946 T^{8} - 248093190989 T^{9} + 3059176291426 T^{10} - 31418575335273 T^{11} + 339437003477205 T^{12} - 3122365421327349 T^{13} + 29984353514531070 T^{14} - 247563270884937532 T^{15} + 2128889099531705970 T^{16} - 15739844088911166309 T^{17} + \)\(12\!\cdots\!55\)\( T^{18} - \)\(79\!\cdots\!13\)\( T^{19} + \)\(55\!\cdots\!26\)\( T^{20} - \)\(31\!\cdots\!69\)\( T^{21} + \)\(19\!\cdots\!86\)\( T^{22} - \)\(96\!\cdots\!14\)\( T^{23} + \)\(51\!\cdots\!47\)\( T^{24} - \)\(20\!\cdots\!55\)\( T^{25} + \)\(96\!\cdots\!81\)\( T^{26} - \)\(28\!\cdots\!79\)\( T^{27} + \)\(11\!\cdots\!38\)\( T^{28} - \)\(19\!\cdots\!63\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 + 11 T + 577 T^{2} + 5476 T^{3} + 161619 T^{4} + 1340476 T^{5} + 29387300 T^{6} + 211414167 T^{7} + 3895183917 T^{8} + 23807666587 T^{9} + 402235710730 T^{10} + 2030440553164 T^{11} + 34236666394041 T^{12} + 140431687261364 T^{13} + 2570514515916833 T^{14} + 9011140612374591 T^{15} + 183634764282070924 T^{16} + 639790983478595961 T^{17} + 12957963674736755153 T^{18} + 50262045619402050604 T^{19} + \)\(87\!\cdots\!21\)\( T^{20} + \)\(36\!\cdots\!64\)\( T^{21} + \)\(51\!\cdots\!30\)\( T^{22} + \)\(21\!\cdots\!17\)\( T^{23} + \)\(25\!\cdots\!37\)\( T^{24} + \)\(96\!\cdots\!77\)\( T^{25} + \)\(95\!\cdots\!00\)\( T^{26} + \)\(30\!\cdots\!96\)\( T^{27} + \)\(26\!\cdots\!79\)\( T^{28} + \)\(63\!\cdots\!36\)\( T^{29} + \)\(47\!\cdots\!37\)\( T^{30} + \)\(64\!\cdots\!61\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 16 T + 645 T^{2} - 7098 T^{3} + 175150 T^{4} - 1407359 T^{5} + 29265525 T^{6} - 176707157 T^{7} + 3695450162 T^{8} - 17395389355 T^{9} + 400226580974 T^{10} - 1551993703449 T^{11} + 38889062423775 T^{12} - 129842105205365 T^{13} + 3386489458672264 T^{14} - 10030234313120552 T^{15} + 264862914064535120 T^{16} - 727578502459693986 T^{17} + 18805266898581993520 T^{18} - 50562411172440702632 T^{19} + \)\(12\!\cdots\!04\)\( T^{20} - \)\(32\!\cdots\!65\)\( T^{21} + \)\(70\!\cdots\!25\)\( T^{22} - \)\(19\!\cdots\!29\)\( T^{23} + \)\(36\!\cdots\!34\)\( T^{24} - \)\(11\!\cdots\!55\)\( T^{25} + \)\(16\!\cdots\!22\)\( T^{26} - \)\(57\!\cdots\!57\)\( T^{27} + \)\(67\!\cdots\!75\)\( T^{28} - \)\(23\!\cdots\!19\)\( T^{29} + \)\(20\!\cdots\!50\)\( T^{30} - \)\(58\!\cdots\!38\)\( T^{31} + \)\(37\!\cdots\!95\)\( T^{32} - \)\(66\!\cdots\!36\)\( T^{33} + \)\(29\!\cdots\!91\)\( T^{34} \))(\( 1 + 8 T + 668 T^{2} + 4324 T^{3} + 218509 T^{4} + 1122337 T^{5} + 47090593 T^{6} + 185782222 T^{7} + 7596730489 T^{8} + 22117246172 T^{9} + 989549208188 T^{10} + 2057042552116 T^{11} + 109337643197421 T^{12} + 162345889219884 T^{13} + 10546727052992839 T^{14} + 11836529913464911 T^{15} + 898884882074581548 T^{16} + 844743327199647628 T^{17} + 67835166465815272256 T^{18} + 59976776231174981588 T^{19} + \)\(45\!\cdots\!68\)\( T^{20} + \)\(42\!\cdots\!21\)\( T^{21} + \)\(26\!\cdots\!59\)\( T^{22} + \)\(29\!\cdots\!84\)\( T^{23} + \)\(14\!\cdots\!41\)\( T^{24} + \)\(18\!\cdots\!56\)\( T^{25} + \)\(63\!\cdots\!68\)\( T^{26} + \)\(10\!\cdots\!32\)\( T^{27} + \)\(24\!\cdots\!89\)\( T^{28} + \)\(42\!\cdots\!62\)\( T^{29} + \)\(77\!\cdots\!13\)\( T^{30} + \)\(13\!\cdots\!07\)\( T^{31} + \)\(18\!\cdots\!29\)\( T^{32} + \)\(25\!\cdots\!24\)\( T^{33} + \)\(27\!\cdots\!28\)\( T^{34} + \)\(23\!\cdots\!28\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))
$73$ (\( 1 - 2 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 + 9 T + 73 T^{2} \))(\( 1 + 3 T + 144 T^{2} + 219 T^{3} + 5329 T^{4} \))(\( 1 - 2 T - 6 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 170 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 132 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 2 T + 113 T^{2} + 462 T^{3} + 8249 T^{4} + 10658 T^{5} + 389017 T^{6} \))(\( 1 + 8 T + 81 T^{2} + 236 T^{3} + 5913 T^{4} + 42632 T^{5} + 389017 T^{6} \))(\( 1 + 16 T + 223 T^{2} + 1774 T^{3} + 21430 T^{4} + 168592 T^{5} + 1564390 T^{6} + 9453646 T^{7} + 86750791 T^{8} + 454371856 T^{9} + 2073071593 T^{10} \))(\( 1 - T + 201 T^{2} + 624 T^{3} + 27268 T^{4} + 76833 T^{5} + 3362478 T^{6} + 7658689 T^{7} + 282006259 T^{8} + 821117972 T^{9} + 20586456907 T^{10} + 40813153681 T^{11} + 1308061104126 T^{12} + 2181922050753 T^{13} + 56528516197924 T^{14} + 94432557204336 T^{15} + 2220527102338497 T^{16} - 806460091894081 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 15 T + 409 T^{2} - 3834 T^{3} + 59954 T^{4} - 318375 T^{5} + 3850208 T^{6} + 54673 T^{7} + 91328903 T^{8} + 1281695164 T^{9} + 6667009919 T^{10} + 291352417 T^{11} + 1497796365536 T^{12} - 9041289978375 T^{13} + 124288934286722 T^{14} - 580215423592026 T^{15} + 4518385994310673 T^{16} - 12096901378411215 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 7 T + 470 T^{2} - 2889 T^{3} + 108091 T^{4} - 590739 T^{5} + 16273916 T^{6} - 79759284 T^{7} + 1784463151 T^{8} - 7808801209 T^{9} + 148634900282 T^{10} - 570042488257 T^{11} + 9509404131679 T^{12} - 31027717383828 T^{13} + 462150588581756 T^{14} - 1224644239777227 T^{15} + 16357867853804299 T^{16} - 31915934321671233 T^{17} + 379036243190218070 T^{18} - 412101106957875391 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + 3 T + 281 T^{2} - 472 T^{3} + 35935 T^{4} - 259354 T^{5} + 3563181 T^{6} - 37825087 T^{7} + 402254187 T^{8} - 3093658573 T^{9} + 42086182339 T^{10} - 212082082124 T^{11} + 3072291310747 T^{12} - 16486106535517 T^{13} + 156483717064179 T^{14} - 1074165936471967 T^{15} + 7386729311817333 T^{16} - 39249136924957306 T^{17} + 396988265783750695 T^{18} - 380649163374006232 T^{19} + 16542915865023283553 T^{20} + 12892877489110672947 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 - 3 T + 404 T^{2} - 2475 T^{3} + 88030 T^{4} - 702150 T^{5} + 14067846 T^{6} - 118698161 T^{7} + 1773780452 T^{8} - 14266740526 T^{9} + 179862841218 T^{10} - 1311658211155 T^{11} + 14670592752000 T^{12} - 95751049414315 T^{13} + 958489080850722 T^{14} - 5550004599202942 T^{15} + 50372244756984932 T^{16} - 246069785710440473 T^{17} + 2128946589962803494 T^{18} - 7756930870183958550 T^{19} + 70992681889435950430 T^{20} - \)\(14\!\cdots\!75\)\( T^{21} + \)\(17\!\cdots\!96\)\( T^{22} - \)\(94\!\cdots\!31\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T + 242 T^{2} + 2105 T^{3} + 24052 T^{4} + 522036 T^{5} + 4849710 T^{6} + 55057719 T^{7} + 717056888 T^{8} + 6174600966 T^{9} + 64686682302 T^{10} + 608286547863 T^{11} + 4989949411278 T^{12} + 44404917993999 T^{13} + 344715329987358 T^{14} + 2402024743990422 T^{15} + 20363154316134008 T^{16} + 114138593234276367 T^{17} + 733927110576026190 T^{18} + 5767139733315321492 T^{19} + 19396978130236436212 T^{20} + \)\(12\!\cdots\!65\)\( T^{21} + \)\(10\!\cdots\!58\)\( T^{22} - \)\(94\!\cdots\!31\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 15 T + 640 T^{2} + 6559 T^{3} + 167978 T^{4} + 1190224 T^{5} + 25322708 T^{6} + 114474179 T^{7} + 2586409172 T^{8} + 5858201928 T^{9} + 206472770302 T^{10} + 140639428465 T^{11} + 15092720557500 T^{12} + 10266678277945 T^{13} + 1100293392939358 T^{14} + 2278940139424776 T^{15} + 73449470991066452 T^{16} + 237313168616897147 T^{17} + 3832192422722270612 T^{18} + 13148878854993707728 T^{19} + \)\(13\!\cdots\!18\)\( T^{20} + \)\(38\!\cdots\!67\)\( T^{21} + \)\(27\!\cdots\!60\)\( T^{22} + \)\(47\!\cdots\!55\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 5 T + 503 T^{2} + 1470 T^{3} + 125852 T^{4} + 211703 T^{5} + 21676004 T^{6} + 20471807 T^{7} + 2864766196 T^{8} + 1417687641 T^{9} + 304498420366 T^{10} + 76675033539 T^{11} + 26688013498698 T^{12} + 4537243045006 T^{13} + 1948224985404954 T^{14} + 408601253729331 T^{15} + 118455061995520222 T^{16} + 40259835291839481 T^{17} + 5938865421514270228 T^{18} + 3098085073082734223 T^{19} + \)\(23\!\cdots\!88\)\( T^{20} + \)\(17\!\cdots\!43\)\( T^{21} + \)\(74\!\cdots\!76\)\( T^{22} + \)\(63\!\cdots\!30\)\( T^{23} + \)\(15\!\cdots\!31\)\( T^{24} + \)\(11\!\cdots\!05\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 - 33 T + 1077 T^{2} - 23896 T^{3} + 484160 T^{4} - 8238789 T^{5} + 128172326 T^{6} - 1782982891 T^{7} + 22885670652 T^{8} - 269411424021 T^{9} + 2948009208666 T^{10} - 29931637592993 T^{11} + 283701985413326 T^{12} - 2507008897220690 T^{13} + 20710244935172798 T^{14} - 159505696733059697 T^{15} + 1146825698327621322 T^{16} - 7650810547501547061 T^{17} + 47443633715414988636 T^{18} - \)\(26\!\cdots\!99\)\( T^{19} + \)\(14\!\cdots\!22\)\( T^{20} - \)\(66\!\cdots\!09\)\( T^{21} + \)\(28\!\cdots\!80\)\( T^{22} - \)\(10\!\cdots\!04\)\( T^{23} + \)\(33\!\cdots\!29\)\( T^{24} - \)\(75\!\cdots\!93\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 + 8 T + 661 T^{2} + 4138 T^{3} + 205335 T^{4} + 1011453 T^{5} + 40879015 T^{6} + 160674386 T^{7} + 5985471771 T^{8} + 19384107648 T^{9} + 694933751381 T^{10} + 1939029463170 T^{11} + 66429910146197 T^{12} + 165804960935815 T^{13} + 5300658601027242 T^{14} + 12103762148314495 T^{15} + 354004991169083813 T^{16} + 754315424674003890 T^{17} + 19734896150751720821 T^{18} + 40184642920722843264 T^{19} + \)\(90\!\cdots\!19\)\( T^{20} + \)\(17\!\cdots\!42\)\( T^{21} + \)\(32\!\cdots\!15\)\( T^{22} + \)\(59\!\cdots\!89\)\( T^{23} + \)\(88\!\cdots\!15\)\( T^{24} + \)\(12\!\cdots\!26\)\( T^{25} + \)\(15\!\cdots\!81\)\( T^{26} + \)\(13\!\cdots\!64\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 27 T + 988 T^{2} - 19337 T^{3} + 424185 T^{4} - 6659251 T^{5} + 110684832 T^{6} - 1465662746 T^{7} + 20078195330 T^{8} - 230626854410 T^{9} + 2710905424712 T^{10} - 27439302574610 T^{11} + 282696881344172 T^{12} - 2541163934739163 T^{13} + 23197745737236392 T^{14} - 185504967235958899 T^{15} + 1506491680683092588 T^{16} - 10674355169667058370 T^{17} + 76984945579178731592 T^{18} - \)\(47\!\cdots\!30\)\( T^{19} + \)\(30\!\cdots\!70\)\( T^{20} - \)\(16\!\cdots\!62\)\( T^{21} + \)\(89\!\cdots\!92\)\( T^{22} - \)\(39\!\cdots\!63\)\( T^{23} + \)\(18\!\cdots\!65\)\( T^{24} - \)\(60\!\cdots\!49\)\( T^{25} + \)\(22\!\cdots\!48\)\( T^{26} - \)\(45\!\cdots\!91\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 + 20 T + 752 T^{2} + 11608 T^{3} + 256010 T^{4} + 3311525 T^{5} + 55561588 T^{6} + 631461833 T^{7} + 8880070238 T^{8} + 90964130816 T^{9} + 1121986716646 T^{10} + 10492204554812 T^{11} + 116251636773682 T^{12} + 998298712471545 T^{13} + 10068879929014763 T^{14} + 79492657441180242 T^{15} + 735028234818077699 T^{16} + 5319933838760863305 T^{17} + 45223862982787450594 T^{18} + \)\(29\!\cdots\!92\)\( T^{19} + \)\(23\!\cdots\!78\)\( T^{20} + \)\(13\!\cdots\!24\)\( T^{21} + \)\(98\!\cdots\!86\)\( T^{22} + \)\(50\!\cdots\!73\)\( T^{23} + \)\(32\!\cdots\!44\)\( T^{24} + \)\(14\!\cdots\!25\)\( T^{25} + \)\(80\!\cdots\!70\)\( T^{26} + \)\(26\!\cdots\!68\)\( T^{27} + \)\(12\!\cdots\!16\)\( T^{28} + \)\(24\!\cdots\!80\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 - 15 T + 707 T^{2} - 8692 T^{3} + 229071 T^{4} - 2390404 T^{5} + 46582791 T^{6} - 425342347 T^{7} + 6861526046 T^{8} - 56219960820 T^{9} + 796156832358 T^{10} - 5963531387318 T^{11} + 76730151722598 T^{12} - 532808888789189 T^{13} + 6367718018001556 T^{14} - 41425457178452846 T^{15} + 464843415314113588 T^{16} - 2839338568357588181 T^{17} + 29849333432669906166 T^{18} - \)\(16\!\cdots\!38\)\( T^{19} + \)\(16\!\cdots\!94\)\( T^{20} - \)\(85\!\cdots\!80\)\( T^{21} + \)\(75\!\cdots\!62\)\( T^{22} - \)\(34\!\cdots\!07\)\( T^{23} + \)\(27\!\cdots\!83\)\( T^{24} - \)\(10\!\cdots\!96\)\( T^{25} + \)\(71\!\cdots\!67\)\( T^{26} - \)\(19\!\cdots\!32\)\( T^{27} + \)\(11\!\cdots\!31\)\( T^{28} - \)\(18\!\cdots\!35\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 - 34 T + 1115 T^{2} - 23154 T^{3} + 460744 T^{4} - 7187367 T^{5} + 108935312 T^{6} - 1394268664 T^{7} + 17618767756 T^{8} - 195105632167 T^{9} + 2169783578058 T^{10} - 21614430842848 T^{11} + 219581105770134 T^{12} - 2022959014643051 T^{13} + 19198283810395707 T^{14} - 166050376688534035 T^{15} + 1485387942558641898 T^{16} - 12121677498262984555 T^{17} + \)\(10\!\cdots\!03\)\( T^{18} - \)\(78\!\cdots\!67\)\( T^{19} + \)\(62\!\cdots\!94\)\( T^{20} - \)\(44\!\cdots\!64\)\( T^{21} + \)\(32\!\cdots\!62\)\( T^{22} - \)\(21\!\cdots\!99\)\( T^{23} + \)\(14\!\cdots\!36\)\( T^{24} - \)\(82\!\cdots\!32\)\( T^{25} + \)\(46\!\cdots\!88\)\( T^{26} - \)\(22\!\cdots\!59\)\( T^{27} + \)\(10\!\cdots\!24\)\( T^{28} - \)\(38\!\cdots\!82\)\( T^{29} + \)\(13\!\cdots\!35\)\( T^{30} - \)\(30\!\cdots\!38\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 33 T + 1223 T^{2} - 27362 T^{3} + 610446 T^{4} - 10600805 T^{5} + 179600690 T^{6} - 2591515227 T^{7} + 36396784331 T^{8} - 454723309208 T^{9} + 5545150403727 T^{10} - 61657577523995 T^{11} + 671913817450144 T^{12} - 6779135056505375 T^{13} + 67299821146441524 T^{14} - 624384781585962072 T^{15} + 5716752507331765802 T^{16} - 49140759526440458374 T^{17} + \)\(41\!\cdots\!46\)\( T^{18} - \)\(33\!\cdots\!88\)\( T^{19} + \)\(26\!\cdots\!08\)\( T^{20} - \)\(19\!\cdots\!75\)\( T^{21} + \)\(13\!\cdots\!92\)\( T^{22} - \)\(93\!\cdots\!55\)\( T^{23} + \)\(61\!\cdots\!19\)\( T^{24} - \)\(36\!\cdots\!48\)\( T^{25} + \)\(21\!\cdots\!03\)\( T^{26} - \)\(11\!\cdots\!23\)\( T^{27} + \)\(56\!\cdots\!30\)\( T^{28} - \)\(24\!\cdots\!05\)\( T^{29} + \)\(10\!\cdots\!18\)\( T^{30} - \)\(33\!\cdots\!58\)\( T^{31} + \)\(10\!\cdots\!11\)\( T^{32} - \)\(21\!\cdots\!13\)\( T^{33} + \)\(47\!\cdots\!53\)\( T^{34} \))(\( 1 + 791 T^{2} + 60 T^{3} + 309803 T^{4} + 79019 T^{5} + 80161999 T^{6} + 39530894 T^{7} + 15415782506 T^{8} + 11467006746 T^{9} + 2348242373212 T^{10} + 2267325285016 T^{11} + 294566435802264 T^{12} + 331859640026324 T^{13} + 31189764401859345 T^{14} + 37688136059753607 T^{15} + 2830451099556401634 T^{16} + 3410652306209724326 T^{17} + \)\(22\!\cdots\!58\)\( T^{18} + \)\(24\!\cdots\!98\)\( T^{19} + \)\(15\!\cdots\!86\)\( T^{20} + \)\(14\!\cdots\!19\)\( T^{21} + \)\(88\!\cdots\!45\)\( T^{22} + \)\(68\!\cdots\!32\)\( T^{23} + \)\(44\!\cdots\!96\)\( T^{24} + \)\(25\!\cdots\!52\)\( T^{25} + \)\(18\!\cdots\!72\)\( T^{26} + \)\(67\!\cdots\!98\)\( T^{27} + \)\(66\!\cdots\!94\)\( T^{28} + \)\(12\!\cdots\!38\)\( T^{29} + \)\(18\!\cdots\!79\)\( T^{30} + \)\(13\!\cdots\!27\)\( T^{31} + \)\(37\!\cdots\!27\)\( T^{32} + \)\(53\!\cdots\!20\)\( T^{33} + \)\(51\!\cdots\!51\)\( T^{34} + \)\(34\!\cdots\!69\)\( T^{36} \))
$79$ (\( 1 - 6 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 14 T + 190 T^{2} - 1106 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 82 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 + 146 T^{2} + 6241 T^{4} \))(\( 1 + 108 T^{2} + 6241 T^{4} \))(\( 1 + 22 T + 377 T^{2} + 3750 T^{3} + 29783 T^{4} + 137302 T^{5} + 493039 T^{6} \))(\( 1 - 6 T + 183 T^{2} - 916 T^{3} + 14457 T^{4} - 37446 T^{5} + 493039 T^{6} \))(\( 1 - 21 T + 453 T^{2} - 5338 T^{3} + 66352 T^{4} - 562528 T^{5} + 5241808 T^{6} - 33314458 T^{7} + 223346667 T^{8} - 817951701 T^{9} + 3077056399 T^{10} \))(\( 1 + 9 T + 459 T^{2} + 4009 T^{3} + 98119 T^{4} + 855507 T^{5} + 13286490 T^{6} + 115060659 T^{7} + 1319858202 T^{8} + 10753106806 T^{9} + 104268797958 T^{10} + 718093572819 T^{11} + 6550757743110 T^{12} + 33322066946067 T^{13} + 301917696813481 T^{14} + 974537609183689 T^{15} + 8814594224646981 T^{16} + 13653979289159049 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 15 T + 445 T^{2} + 5783 T^{3} + 93019 T^{4} + 1021063 T^{5} + 12321962 T^{6} + 114544383 T^{7} + 1205592346 T^{8} + 9887775904 T^{9} + 95241795334 T^{10} + 714871494303 T^{11} + 6075207822518 T^{12} + 39770486556103 T^{13} + 286224709178581 T^{14} + 1405774755277943 T^{15} + 8545739498840755 T^{16} + 22756632148598415 T^{17} + 119851595982618319 T^{18} \))(\( 1 + T + 480 T^{2} + 964 T^{3} + 116404 T^{4} + 284042 T^{5} + 18836665 T^{6} + 47030952 T^{7} + 2230643230 T^{8} + 5233690225 T^{9} + 200888878932 T^{10} + 413461527775 T^{11} + 13921444398430 T^{12} + 23188093543128 T^{13} + 733689627519865 T^{14} + 874013253684758 T^{15} + 28296352172466484 T^{16} + 18512568262657276 T^{17} + 728212228755149280 T^{18} + 119851595982618319 T^{19} + 9468276082626847201 T^{20} \))(\( 1 + 43 T + 1383 T^{2} + 30153 T^{3} + 548478 T^{4} + 7911902 T^{5} + 98890153 T^{6} + 1023403080 T^{7} + 9447192159 T^{8} + 75082799947 T^{9} + 595289651886 T^{10} + 4806531772576 T^{11} + 47027882498994 T^{12} + 468591754469227 T^{13} + 4657834174881201 T^{14} + 39861632861649480 T^{15} + 304290578086739047 T^{16} + 1923284125511510942 T^{17} + 10532921592910516002 T^{18} + 45745381945112533833 T^{19} + \)\(16\!\cdots\!77\)\( T^{20} + \)\(40\!\cdots\!43\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 31 T + 930 T^{2} + 17778 T^{3} + 330583 T^{4} + 4850109 T^{5} + 70063819 T^{6} + 860219176 T^{7} + 10477293076 T^{8} + 112018876933 T^{9} + 1190858984249 T^{10} + 11264838782871 T^{11} + 105952206607102 T^{12} + 889922263846809 T^{13} + 7432150920698009 T^{14} + 55229675064169387 T^{15} + 408091413970939156 T^{16} + 2646942920053307224 T^{17} + 17031635484793894699 T^{18} + 93141051808950641331 T^{19} + \)\(50\!\cdots\!63\)\( T^{20} + \)\(21\!\cdots\!82\)\( T^{21} + \)\(88\!\cdots\!30\)\( T^{22} + \)\(23\!\cdots\!49\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 5 T + 376 T^{2} - 2768 T^{3} + 69471 T^{4} - 654275 T^{5} + 9109155 T^{6} - 92466788 T^{7} + 989814496 T^{8} - 9507271587 T^{9} + 92830149295 T^{10} - 824023840957 T^{11} + 7710531810380 T^{12} - 65097883435603 T^{13} + 579352961750095 T^{14} - 4687455675982893 T^{15} + 38553354794174176 T^{16} - 284525521710376412 T^{17} + 2214321310896394755 T^{18} - 12564637551919179725 T^{19} + \)\(10\!\cdots\!31\)\( T^{20} - \)\(33\!\cdots\!92\)\( T^{21} + \)\(35\!\cdots\!76\)\( T^{22} - \)\(37\!\cdots\!95\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 25 T + 886 T^{2} + 16418 T^{3} + 345121 T^{4} + 5150697 T^{5} + 81456803 T^{6} + 1022252424 T^{7} + 13240598762 T^{8} + 143129106645 T^{9} + 1579623062331 T^{10} + 14889087969321 T^{11} + 142714687450998 T^{12} + 1176237949576359 T^{13} + 9858427532007771 T^{14} + 70568231611144155 T^{15} + 515722394268399722 T^{16} + 3145528362662461176 T^{17} + 19801126976145359363 T^{18} + 98913516403282202823 T^{19} + \)\(52\!\cdots\!81\)\( T^{20} + \)\(19\!\cdots\!42\)\( T^{21} + \)\(83\!\cdots\!86\)\( T^{22} + \)\(18\!\cdots\!75\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T + 575 T^{2} + 3853 T^{3} + 166393 T^{4} + 908977 T^{5} + 32864856 T^{6} + 151716911 T^{7} + 4899448701 T^{8} + 19601781221 T^{9} + 579490751085 T^{10} + 2051527517800 T^{11} + 55705366324505 T^{12} + 177483913288794 T^{13} + 4400723939635895 T^{14} + 12803583238589800 T^{15} + 285711540424197315 T^{16} + 763490966302228901 T^{17} + 15075879976984287699 T^{18} + 36880477854496015631 T^{19} + \)\(63\!\cdots\!04\)\( T^{20} + \)\(13\!\cdots\!97\)\( T^{21} + \)\(19\!\cdots\!67\)\( T^{22} + \)\(36\!\cdots\!53\)\( T^{23} + \)\(43\!\cdots\!25\)\( T^{24} + \)\(53\!\cdots\!69\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 + 11 T + 709 T^{2} + 7783 T^{3} + 242739 T^{4} + 2598661 T^{5} + 53423948 T^{6} + 546606891 T^{7} + 8494826387 T^{8} + 81615713629 T^{9} + 1038921978591 T^{10} + 9228047316110 T^{11} + 101269956591305 T^{12} + 818414132612006 T^{13} + 8000326570713095 T^{14} + 57592243299842510 T^{15} + 512229053402528049 T^{16} + 3178938656722353949 T^{17} + 26139059892512400413 T^{18} + \)\(13\!\cdots\!11\)\( T^{19} + \)\(10\!\cdots\!32\)\( T^{20} + \)\(39\!\cdots\!21\)\( T^{21} + \)\(29\!\cdots\!41\)\( T^{22} + \)\(73\!\cdots\!83\)\( T^{23} + \)\(53\!\cdots\!11\)\( T^{24} + \)\(65\!\cdots\!51\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 - 9 T + 722 T^{2} - 4792 T^{3} + 235822 T^{4} - 1020120 T^{5} + 46349413 T^{6} - 84602506 T^{7} + 6179825623 T^{8} + 6774461300 T^{9} + 607933246962 T^{10} + 2725716381723 T^{11} + 49060395515284 T^{12} + 366457485400862 T^{13} + 3785147597512762 T^{14} + 28950141346668098 T^{15} + 306185928410887444 T^{16} + 1343884479128326197 T^{17} + 23679049211762903922 T^{18} + 20845399492942858700 T^{19} + \)\(15\!\cdots\!83\)\( T^{20} - \)\(16\!\cdots\!54\)\( T^{21} + \)\(70\!\cdots\!93\)\( T^{22} - \)\(12\!\cdots\!80\)\( T^{23} + \)\(22\!\cdots\!22\)\( T^{24} - \)\(35\!\cdots\!68\)\( T^{25} + \)\(42\!\cdots\!02\)\( T^{26} - \)\(42\!\cdots\!51\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 9 T + 588 T^{2} - 6028 T^{3} + 185414 T^{4} - 1968262 T^{5} + 40217197 T^{6} - 422516580 T^{7} + 6592554975 T^{8} - 66623504332 T^{9} + 855925549092 T^{10} - 8155440175241 T^{11} + 90288576056138 T^{12} - 797080812345518 T^{13} + 7843843488342054 T^{14} - 62969384175295922 T^{15} + 563491003166357258 T^{16} - 4020950068560647399 T^{17} + 33338369467102876452 T^{18} - \)\(20\!\cdots\!68\)\( T^{19} + \)\(16\!\cdots\!75\)\( T^{20} - \)\(81\!\cdots\!20\)\( T^{21} + \)\(61\!\cdots\!17\)\( T^{22} - \)\(23\!\cdots\!78\)\( T^{23} + \)\(17\!\cdots\!14\)\( T^{24} - \)\(45\!\cdots\!12\)\( T^{25} + \)\(34\!\cdots\!08\)\( T^{26} - \)\(42\!\cdots\!51\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 + 8 T + 624 T^{2} + 3243 T^{3} + 178990 T^{4} + 515762 T^{5} + 33545945 T^{6} + 38020281 T^{7} + 4926085536 T^{8} + 375917999 T^{9} + 611689350793 T^{10} - 297846929155 T^{11} + 64613241952583 T^{12} - 53576703261927 T^{13} + 5841817735681980 T^{14} - 5433843426606790 T^{15} + 461503601118876420 T^{16} - 334372205057686407 T^{17} + 31856848199059569737 T^{18} - 11601162016188511555 T^{19} + \)\(18\!\cdots\!07\)\( T^{20} + 91380949861455822479 T^{21} + \)\(94\!\cdots\!24\)\( T^{22} + \)\(57\!\cdots\!41\)\( T^{23} + \)\(40\!\cdots\!55\)\( T^{24} + \)\(48\!\cdots\!62\)\( T^{25} + \)\(13\!\cdots\!10\)\( T^{26} + \)\(19\!\cdots\!63\)\( T^{27} + \)\(29\!\cdots\!36\)\( T^{28} + \)\(29\!\cdots\!48\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 - 15 T + 793 T^{2} - 11561 T^{3} + 314302 T^{4} - 4344222 T^{5} + 82134569 T^{6} - 1058034464 T^{7} + 15768526098 T^{8} - 187044502634 T^{9} + 2348508196949 T^{10} - 25451549279095 T^{11} + 279518564902546 T^{12} - 2754739407909521 T^{13} + 27010331189307452 T^{14} - 241272284063088144 T^{15} + 2133816163955288708 T^{16} - 17192328644763320561 T^{17} + \)\(13\!\cdots\!94\)\( T^{18} - \)\(99\!\cdots\!95\)\( T^{19} + \)\(72\!\cdots\!51\)\( T^{20} - \)\(45\!\cdots\!14\)\( T^{21} + \)\(30\!\cdots\!82\)\( T^{22} - \)\(16\!\cdots\!04\)\( T^{23} + \)\(98\!\cdots\!11\)\( T^{24} - \)\(41\!\cdots\!22\)\( T^{25} + \)\(23\!\cdots\!58\)\( T^{26} - \)\(68\!\cdots\!01\)\( T^{27} + \)\(37\!\cdots\!27\)\( T^{28} - \)\(55\!\cdots\!15\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 + 7 T + 382 T^{2} + 3668 T^{3} + 94719 T^{4} + 967539 T^{5} + 17854563 T^{6} + 181056978 T^{7} + 2728549543 T^{8} + 26731147072 T^{9} + 351450625421 T^{10} + 3275017783243 T^{11} + 38868579674241 T^{12} + 342903690599056 T^{13} + 3743183139563186 T^{14} + 31064052433421241 T^{15} + 315747911179727280 T^{16} + 2454060142240278039 T^{17} + 23361205974013843826 T^{18} + \)\(16\!\cdots\!84\)\( T^{19} + \)\(15\!\cdots\!21\)\( T^{20} + \)\(10\!\cdots\!57\)\( T^{21} + \)\(85\!\cdots\!41\)\( T^{22} + \)\(51\!\cdots\!48\)\( T^{23} + \)\(41\!\cdots\!23\)\( T^{24} + \)\(21\!\cdots\!82\)\( T^{25} + \)\(16\!\cdots\!63\)\( T^{26} + \)\(72\!\cdots\!81\)\( T^{27} + \)\(55\!\cdots\!79\)\( T^{28} + \)\(17\!\cdots\!52\)\( T^{29} + \)\(14\!\cdots\!42\)\( T^{30} + \)\(20\!\cdots\!93\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 10 T + 638 T^{2} + 5415 T^{3} + 202785 T^{4} + 1529364 T^{5} + 43460937 T^{6} + 303975982 T^{7} + 7140123348 T^{8} + 47848691463 T^{9} + 961754772050 T^{10} + 6290814750004 T^{11} + 110429548379449 T^{12} + 708189515604870 T^{13} + 11071375896961249 T^{14} + 69041692547698263 T^{15} + 982534301031371755 T^{16} + 5849577109375341354 T^{17} + 77620209781478368645 T^{18} + \)\(43\!\cdots\!83\)\( T^{19} + \)\(54\!\cdots\!11\)\( T^{20} + \)\(27\!\cdots\!70\)\( T^{21} + \)\(33\!\cdots\!51\)\( T^{22} + \)\(15\!\cdots\!84\)\( T^{23} + \)\(18\!\cdots\!50\)\( T^{24} + \)\(72\!\cdots\!43\)\( T^{25} + \)\(85\!\cdots\!12\)\( T^{26} + \)\(28\!\cdots\!82\)\( T^{27} + \)\(32\!\cdots\!23\)\( T^{28} + \)\(90\!\cdots\!24\)\( T^{29} + \)\(94\!\cdots\!15\)\( T^{30} + \)\(19\!\cdots\!15\)\( T^{31} + \)\(18\!\cdots\!62\)\( T^{32} + \)\(23\!\cdots\!10\)\( T^{33} + \)\(18\!\cdots\!59\)\( T^{34} \))(\( 1 - 4 T + 823 T^{2} - 3391 T^{3} + 329059 T^{4} - 1315579 T^{5} + 85537256 T^{6} - 315057764 T^{7} + 16335761199 T^{8} - 53046555007 T^{9} + 2460257999978 T^{10} - 6809925786277 T^{11} + 306738166574715 T^{12} - 711508035201362 T^{13} + 32792483422628408 T^{14} - 64367867034794637 T^{15} + 3078731061966582450 T^{16} - 5340169502083640917 T^{17} + \)\(25\!\cdots\!66\)\( T^{18} - \)\(42\!\cdots\!43\)\( T^{19} + \)\(19\!\cdots\!50\)\( T^{20} - \)\(31\!\cdots\!43\)\( T^{21} + \)\(12\!\cdots\!48\)\( T^{22} - \)\(21\!\cdots\!38\)\( T^{23} + \)\(74\!\cdots\!15\)\( T^{24} - \)\(13\!\cdots\!43\)\( T^{25} + \)\(37\!\cdots\!58\)\( T^{26} - \)\(63\!\cdots\!33\)\( T^{27} + \)\(15\!\cdots\!99\)\( T^{28} - \)\(23\!\cdots\!56\)\( T^{29} + \)\(50\!\cdots\!96\)\( T^{30} - \)\(61\!\cdots\!81\)\( T^{31} + \)\(12\!\cdots\!79\)\( T^{32} - \)\(98\!\cdots\!09\)\( T^{33} + \)\(18\!\cdots\!83\)\( T^{34} - \)\(72\!\cdots\!36\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))
$83$ (\( 1 - 11 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 31 T + 402 T^{2} + 2573 T^{3} + 6889 T^{4} \))(\( 1 - T + 60 T^{2} - 83 T^{3} + 6889 T^{4} \))(\( 1 + 4 T - 22 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 18 T + 239 T^{2} + 1494 T^{3} + 6889 T^{4} \))(\( 1 - 17 T + 292 T^{2} - 2697 T^{3} + 24236 T^{4} - 117113 T^{5} + 571787 T^{6} \))(\( 1 - 26 T + 442 T^{2} - 4752 T^{3} + 36686 T^{4} - 179114 T^{5} + 571787 T^{6} \))(\( 1 + 44 T + 1075 T^{2} + 18102 T^{3} + 231457 T^{4} + 2351242 T^{5} + 19210931 T^{6} + 124704678 T^{7} + 614671025 T^{8} + 2088166124 T^{9} + 3939040643 T^{10} \))(\( 1 + 12 T + 403 T^{2} + 4312 T^{3} + 88615 T^{4} + 830672 T^{5} + 12887502 T^{6} + 107980426 T^{7} + 1390571815 T^{8} + 10298966981 T^{9} + 115417460645 T^{10} + 743877154714 T^{11} + 7368906106074 T^{12} + 39422298421712 T^{13} + 349058086579445 T^{14} + 1409766889967128 T^{15} + 10935828548819681 T^{16} + 27027506785668492 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 5 T + 332 T^{2} + 1845 T^{3} + 61639 T^{4} + 349470 T^{5} + 8329386 T^{6} + 44405270 T^{7} + 869454263 T^{8} + 4179329088 T^{9} + 72164703829 T^{10} + 305907905030 T^{11} + 4762634632782 T^{12} + 16585259439870 T^{13} + 242798526193877 T^{14} + 603204988865805 T^{15} + 9009168928556164 T^{16} + 11261461160695205 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 41 T + 1397 T^{2} - 32354 T^{3} + 657247 T^{4} - 10895713 T^{5} + 162951307 T^{6} - 2107960160 T^{7} + 24957278483 T^{8} - 261566428108 T^{9} + 2524624677262 T^{10} - 21710013532964 T^{11} + 171930691469387 T^{12} - 1205304216005920 T^{13} + 7733395434975547 T^{14} - 42918656341463459 T^{15} + 214880579575655143 T^{16} - 877959793718391958 T^{17} + 3146452248298240277 T^{18} - 7664550465969156523 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 28 T + 878 T^{2} + 17394 T^{3} + 337209 T^{4} + 5227312 T^{5} + 77762652 T^{6} + 994635214 T^{7} + 12181934366 T^{8} + 132159303085 T^{9} + 1372745829560 T^{10} + 12781777813833 T^{11} + 113937903853480 T^{12} + 910445438952565 T^{13} + 6965471705332042 T^{14} + 47203717263915694 T^{15} + 306310246735465236 T^{16} + 1709019336996254128 T^{17} + 9150520618161131043 T^{18} + 39176371085826479154 T^{19} + \)\(16\!\cdots\!34\)\( T^{20} + \)\(43\!\cdots\!72\)\( T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 3 T + 671 T^{2} - 1770 T^{3} + 214693 T^{4} - 546265 T^{5} + 43962505 T^{6} - 114320340 T^{7} + 6512590716 T^{8} - 17359276389 T^{9} + 746481870099 T^{10} - 1945276440678 T^{11} + 68714295868527 T^{12} - 161457944576274 T^{13} + 5142513603112011 T^{14} - 9925808568637143 T^{15} + 309076620741547836 T^{16} - 450312465581578620 T^{17} + 14373117798936529345 T^{18} - 14823474893848593155 T^{19} + \)\(48\!\cdots\!13\)\( T^{20} - \)\(33\!\cdots\!10\)\( T^{21} + \)\(10\!\cdots\!79\)\( T^{22} - \)\(38\!\cdots\!01\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 2 T + 525 T^{2} - 728 T^{3} + 134457 T^{4} - 205458 T^{5} + 22923615 T^{6} - 51072506 T^{7} + 2946300676 T^{8} - 8890008369 T^{9} + 305775734926 T^{10} - 1051685122206 T^{11} + 27100095587344 T^{12} - 87289865143098 T^{13} + 2106489037905214 T^{14} - 5083191215285403 T^{15} + 139826483244124996 T^{16} - 201176676873861358 T^{17} + 7494655247067208935 T^{18} - 5575318764226784166 T^{19} + \)\(30\!\cdots\!37\)\( T^{20} - \)\(13\!\cdots\!84\)\( T^{21} + \)\(81\!\cdots\!25\)\( T^{22} - \)\(25\!\cdots\!34\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 13 T + 593 T^{2} + 6476 T^{3} + 157963 T^{4} + 1446071 T^{5} + 25510737 T^{6} + 196480074 T^{7} + 2923031634 T^{8} + 19301929267 T^{9} + 271962070945 T^{10} + 1623649862840 T^{11} + 23070094127931 T^{12} + 134762938615720 T^{13} + 1873546706740105 T^{14} + 11036592229790129 T^{15} + 138722173579526514 T^{16} + 773942997025647582 T^{17} + 8340489879698362953 T^{18} + 39240656390620905517 T^{19} + \)\(35\!\cdots\!83\)\( T^{20} + \)\(12\!\cdots\!28\)\( T^{21} + \)\(92\!\cdots\!57\)\( T^{22} + \)\(16\!\cdots\!71\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 35 T + 1308 T^{2} + 29439 T^{3} + 655896 T^{4} + 11181535 T^{5} + 187167068 T^{6} + 2610981791 T^{7} + 35855578859 T^{8} + 427171184109 T^{9} + 5023982126865 T^{10} + 52267691020521 T^{11} + 537339177459170 T^{12} + 4924446281808984 T^{13} + 44599151729111110 T^{14} + 360072123440369169 T^{15} + 2872647668373757755 T^{16} + 20272827177395020989 T^{17} + \)\(14\!\cdots\!37\)\( T^{18} + \)\(85\!\cdots\!79\)\( T^{19} + \)\(50\!\cdots\!36\)\( T^{20} + \)\(25\!\cdots\!35\)\( T^{21} + \)\(12\!\cdots\!88\)\( T^{22} + \)\(45\!\cdots\!11\)\( T^{23} + \)\(16\!\cdots\!36\)\( T^{24} + \)\(37\!\cdots\!35\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 - 19 T + 837 T^{2} - 13380 T^{3} + 330787 T^{4} - 4589943 T^{5} + 82826052 T^{6} - 1014908015 T^{7} + 14773940962 T^{8} - 161323230806 T^{9} + 1991535676777 T^{10} - 19440871406461 T^{11} + 209241210382828 T^{12} - 1822433313511952 T^{13} + 17367020461774724 T^{14} - 133928163119109829 T^{15} + 1138734210017290499 T^{16} - 7656129672348236726 T^{17} + 58195153906600518566 T^{18} - \)\(33\!\cdots\!35\)\( T^{19} + \)\(22\!\cdots\!04\)\( T^{20} - \)\(10\!\cdots\!63\)\( T^{21} + \)\(61\!\cdots\!61\)\( T^{22} - \)\(20\!\cdots\!20\)\( T^{23} + \)\(10\!\cdots\!79\)\( T^{24} - \)\(20\!\cdots\!59\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 - 11 T + 761 T^{2} - 8362 T^{3} + 291132 T^{4} - 3103400 T^{5} + 73561810 T^{6} - 746142834 T^{7} + 13638147257 T^{8} - 129754151972 T^{9} + 1955569561284 T^{10} - 17234898430660 T^{11} + 223167756959373 T^{12} - 1798571853043793 T^{13} + 20566166676037604 T^{14} - 149281463802634819 T^{15} + 1537402677693120597 T^{16} - 9854690868971789420 T^{17} + 92808047977245244164 T^{18} - \)\(51\!\cdots\!96\)\( T^{19} + \)\(44\!\cdots\!33\)\( T^{20} - \)\(20\!\cdots\!18\)\( T^{21} + \)\(16\!\cdots\!10\)\( T^{22} - \)\(58\!\cdots\!00\)\( T^{23} + \)\(45\!\cdots\!68\)\( T^{24} - \)\(10\!\cdots\!54\)\( T^{25} + \)\(81\!\cdots\!21\)\( T^{26} - \)\(97\!\cdots\!93\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 49 T + 1741 T^{2} - 44884 T^{3} + 981610 T^{4} - 18303612 T^{5} + 306510490 T^{6} - 4622241686 T^{7} + 64326380977 T^{8} - 826256553128 T^{9} + 9929007326432 T^{10} - 111455084463172 T^{11} + 1178638061645767 T^{12} - 11711266686590525 T^{13} + 109969960682304688 T^{14} - 972035134987013575 T^{15} + 8119637606677688863 T^{16} - 63728568379943728364 T^{17} + \)\(47\!\cdots\!72\)\( T^{18} - \)\(32\!\cdots\!04\)\( T^{19} + \)\(21\!\cdots\!13\)\( T^{20} - \)\(12\!\cdots\!22\)\( T^{21} + \)\(69\!\cdots\!90\)\( T^{22} - \)\(34\!\cdots\!36\)\( T^{23} + \)\(15\!\cdots\!90\)\( T^{24} - \)\(57\!\cdots\!28\)\( T^{25} + \)\(18\!\cdots\!01\)\( T^{26} - \)\(43\!\cdots\!87\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 + 29 T + 1036 T^{2} + 20967 T^{3} + 455707 T^{4} + 7371728 T^{5} + 123363792 T^{6} + 1700094592 T^{7} + 23896333197 T^{8} + 290540570858 T^{9} + 3579486539939 T^{10} + 39158491967980 T^{11} + 432575437389391 T^{12} + 4301816445453527 T^{13} + 43119749489760029 T^{14} + 391403925089607406 T^{15} + 3578939207650082407 T^{16} + 29635213492729347503 T^{17} + \)\(24\!\cdots\!17\)\( T^{18} + \)\(18\!\cdots\!80\)\( T^{19} + \)\(14\!\cdots\!77\)\( T^{20} + \)\(94\!\cdots\!02\)\( T^{21} + \)\(64\!\cdots\!19\)\( T^{22} + \)\(38\!\cdots\!72\)\( T^{23} + \)\(23\!\cdots\!76\)\( T^{24} + \)\(11\!\cdots\!72\)\( T^{25} + \)\(58\!\cdots\!69\)\( T^{26} + \)\(22\!\cdots\!87\)\( T^{27} + \)\(91\!\cdots\!68\)\( T^{28} + \)\(21\!\cdots\!41\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 - 23 T + 858 T^{2} - 15409 T^{3} + 350139 T^{4} - 5325128 T^{5} + 92746022 T^{6} - 1237752862 T^{7} + 17986902597 T^{8} - 214963504262 T^{9} + 2716789445713 T^{10} - 29404656840388 T^{11} + 330841232392757 T^{12} - 3261435709708167 T^{13} + 33116038150153317 T^{14} - 297701478998345186 T^{15} + 2748631166462725311 T^{16} - 22468030604179562463 T^{17} + \)\(18\!\cdots\!59\)\( T^{18} - \)\(13\!\cdots\!48\)\( T^{19} + \)\(10\!\cdots\!59\)\( T^{20} - \)\(70\!\cdots\!78\)\( T^{21} + \)\(48\!\cdots\!19\)\( T^{22} - \)\(27\!\cdots\!42\)\( T^{23} + \)\(17\!\cdots\!66\)\( T^{24} - \)\(82\!\cdots\!72\)\( T^{25} + \)\(45\!\cdots\!13\)\( T^{26} - \)\(16\!\cdots\!49\)\( T^{27} + \)\(76\!\cdots\!54\)\( T^{28} - \)\(16\!\cdots\!67\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 + 28 T + 815 T^{2} + 16636 T^{3} + 319549 T^{4} + 5231208 T^{5} + 80746833 T^{6} + 1126079574 T^{7} + 14916960165 T^{8} + 183779190107 T^{9} + 2164081308833 T^{10} + 24110537864110 T^{11} + 258472546278883 T^{12} + 2649790079773340 T^{13} + 26287566885441775 T^{14} + 251123654701098791 T^{15} + 2328388197427034452 T^{16} + 20843263340191199653 T^{17} + \)\(18\!\cdots\!75\)\( T^{18} + \)\(15\!\cdots\!80\)\( T^{19} + \)\(12\!\cdots\!43\)\( T^{20} + \)\(94\!\cdots\!30\)\( T^{21} + \)\(70\!\cdots\!77\)\( T^{22} + \)\(49\!\cdots\!89\)\( T^{23} + \)\(33\!\cdots\!65\)\( T^{24} + \)\(21\!\cdots\!22\)\( T^{25} + \)\(12\!\cdots\!17\)\( T^{26} + \)\(67\!\cdots\!36\)\( T^{27} + \)\(34\!\cdots\!89\)\( T^{28} + \)\(14\!\cdots\!68\)\( T^{29} + \)\(60\!\cdots\!35\)\( T^{30} + \)\(17\!\cdots\!96\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 27 T + 996 T^{2} - 19667 T^{3} + 452480 T^{4} - 7431489 T^{5} + 133441760 T^{6} - 1910158431 T^{7} + 28977192136 T^{8} - 370882975102 T^{9} + 4944843894969 T^{10} - 57432096086472 T^{11} + 687849413995642 T^{12} - 7313917619367503 T^{13} + 79731136138968000 T^{14} - 779946410396645758 T^{15} + 7798004828441941902 T^{16} - 70303909447267313390 T^{17} + \)\(64\!\cdots\!66\)\( T^{18} - \)\(53\!\cdots\!62\)\( T^{19} + \)\(45\!\cdots\!00\)\( T^{20} - \)\(34\!\cdots\!63\)\( T^{21} + \)\(27\!\cdots\!06\)\( T^{22} - \)\(18\!\cdots\!68\)\( T^{23} + \)\(13\!\cdots\!63\)\( T^{24} - \)\(83\!\cdots\!82\)\( T^{25} + \)\(54\!\cdots\!08\)\( T^{26} - \)\(29\!\cdots\!19\)\( T^{27} + \)\(17\!\cdots\!20\)\( T^{28} - \)\(79\!\cdots\!29\)\( T^{29} + \)\(40\!\cdots\!40\)\( T^{30} - \)\(14\!\cdots\!43\)\( T^{31} + \)\(60\!\cdots\!72\)\( T^{32} - \)\(13\!\cdots\!87\)\( T^{33} + \)\(42\!\cdots\!23\)\( T^{34} \))(\( 1 - 11 T + 909 T^{2} - 7146 T^{3} + 374802 T^{4} - 1901314 T^{5} + 94822574 T^{6} - 213913018 T^{7} + 16826462684 T^{8} + 14142785529 T^{9} + 2289273081925 T^{10} + 9824670744632 T^{11} + 258017920466593 T^{12} + 2011525213541795 T^{13} + 25790487387193808 T^{14} + 272831395398590207 T^{15} + 2383053649546470616 T^{16} + 28255385510543852864 T^{17} + \)\(20\!\cdots\!84\)\( T^{18} + \)\(23\!\cdots\!12\)\( T^{19} + \)\(16\!\cdots\!24\)\( T^{20} + \)\(15\!\cdots\!09\)\( T^{21} + \)\(12\!\cdots\!68\)\( T^{22} + \)\(79\!\cdots\!85\)\( T^{23} + \)\(84\!\cdots\!17\)\( T^{24} + \)\(26\!\cdots\!64\)\( T^{25} + \)\(51\!\cdots\!25\)\( T^{26} + \)\(26\!\cdots\!87\)\( T^{27} + \)\(26\!\cdots\!16\)\( T^{28} - \)\(27\!\cdots\!06\)\( T^{29} + \)\(10\!\cdots\!14\)\( T^{30} - \)\(16\!\cdots\!82\)\( T^{31} + \)\(27\!\cdots\!58\)\( T^{32} - \)\(43\!\cdots\!22\)\( T^{33} + \)\(46\!\cdots\!29\)\( T^{34} - \)\(46\!\cdots\!53\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))
$89$ (\( 1 + 14 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 21 T + 284 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 - 9 T + 92 T^{2} - 801 T^{3} + 7921 T^{4} \))(\( ( 1 - 14 T + 89 T^{2} )^{2} \))(\( 1 + 12 T + 206 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 155 T^{2} - 1136 T^{3} + 13795 T^{4} - 126736 T^{5} + 704969 T^{6} \))(\( 1 - 2 T + 239 T^{2} - 364 T^{3} + 21271 T^{4} - 15842 T^{5} + 704969 T^{6} \))(\( 1 + 65 T + 2071 T^{2} + 42328 T^{3} + 615832 T^{4} + 6681046 T^{5} + 54809048 T^{6} + 335280088 T^{7} + 1459990799 T^{8} + 4078245665 T^{9} + 5584059449 T^{10} \))(\( 1 + 5 T + 333 T^{2} + 1789 T^{3} + 62420 T^{4} + 266030 T^{5} + 8358386 T^{6} + 27361400 T^{7} + 861715531 T^{8} + 2548208682 T^{9} + 76692682259 T^{10} + 216729649400 T^{11} + 5892403020034 T^{12} + 16691318373230 T^{13} + 348556990806580 T^{14} + 889099529529229 T^{15} + 14729034520211157 T^{16} + 19682944028510405 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 31 T + 545 T^{2} - 6249 T^{3} + 52948 T^{4} - 292404 T^{5} + 990786 T^{6} - 2183976 T^{7} + 73780943 T^{8} - 970405202 T^{9} + 6566503927 T^{10} - 17299273896 T^{11} + 698473415634 T^{12} - 18346082237364 T^{13} + 295664779705652 T^{14} - 3105636087215289 T^{15} + 24106077518063305 T^{16} - 122034252976764511 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 31 T + 762 T^{2} - 11946 T^{3} + 166489 T^{4} - 1811923 T^{5} + 20456534 T^{6} - 212460220 T^{7} + 2512449383 T^{8} - 26238241964 T^{9} + 273229128342 T^{10} - 2335203534796 T^{11} + 19901111562743 T^{12} - 149777868833180 T^{13} + 1283488786252694 T^{14} - 10117885749010427 T^{15} + 82741918150805929 T^{16} - 528387526661989434 T^{17} + 2999680669944985722 T^{18} - 10861048514932041479 T^{19} + 31181719929966183601 T^{20} \))(\( 1 + 25 T + 1009 T^{2} + 18033 T^{3} + 421037 T^{4} + 5951377 T^{5} + 103113347 T^{6} + 1215526629 T^{7} + 17110386209 T^{8} + 172647250542 T^{9} + 2053989407801 T^{10} + 17882207507028 T^{11} + 182805057294289 T^{12} + 1367538871543182 T^{13} + 12062291855372521 T^{14} + 76264864698635589 T^{15} + 575791059633365803 T^{16} + 2957723024455603297 T^{17} + 18623028550408843573 T^{18} + 70988505933225626673 T^{19} + \)\(35\!\cdots\!81\)\( T^{20} + \)\(77\!\cdots\!25\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 + 39 T + 1428 T^{2} + 34160 T^{3} + 749808 T^{4} + 13304894 T^{5} + 218737114 T^{6} + 3128163120 T^{7} + 41880518910 T^{8} + 504655453891 T^{9} + 5734574600630 T^{10} + 59614862353320 T^{11} + 586553645069570 T^{12} + 5305722749445480 T^{13} + 45423565411590230 T^{14} + 355766450674084379 T^{15} + 2627677610656277310 T^{16} + 17467848828249320880 T^{17} + \)\(10\!\cdots\!54\)\( T^{18} + \)\(58\!\cdots\!26\)\( T^{19} + \)\(29\!\cdots\!48\)\( T^{20} + \)\(11\!\cdots\!40\)\( T^{21} + \)\(44\!\cdots\!28\)\( T^{22} + \)\(10\!\cdots\!71\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 13 T + 774 T^{2} + 9872 T^{3} + 295034 T^{4} + 3591912 T^{5} + 72578956 T^{6} + 825617162 T^{7} + 12759890260 T^{8} + 133070540501 T^{9} + 1682750752458 T^{10} + 15780477024724 T^{11} + 170348416012794 T^{12} + 1404462455200436 T^{13} + 13329068710219818 T^{14} + 93810605866449469 T^{15} + 800584109826472660 T^{16} + 4610295314722663738 T^{17} + 36070383249481616716 T^{18} + \)\(15\!\cdots\!48\)\( T^{19} + \)\(11\!\cdots\!54\)\( T^{20} + \)\(34\!\cdots\!48\)\( T^{21} + \)\(24\!\cdots\!74\)\( T^{22} + \)\(36\!\cdots\!57\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 35 T + 1102 T^{2} - 22820 T^{3} + 443650 T^{4} - 6995290 T^{5} + 106010032 T^{6} - 1397035466 T^{7} + 17860456904 T^{8} - 204604022749 T^{9} + 2283322783906 T^{10} - 23138686905280 T^{11} + 228673194776642 T^{12} - 2059343134569920 T^{13} + 18086199771319426 T^{14} - 144239493313339781 T^{15} + 1120605091440881864 T^{16} - 7801129094505418234 T^{17} + 52685002558176920752 T^{18} - \)\(30\!\cdots\!10\)\( T^{19} + \)\(17\!\cdots\!50\)\( T^{20} - \)\(79\!\cdots\!80\)\( T^{21} + \)\(34\!\cdots\!02\)\( T^{22} - \)\(97\!\cdots\!15\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - T + 771 T^{2} - 257 T^{3} + 284014 T^{4} + 106796 T^{5} + 67101520 T^{6} + 69457004 T^{7} + 11518003220 T^{8} + 17704149905 T^{9} + 1538446076190 T^{10} + 2757786098477 T^{11} + 166246750912772 T^{12} + 293069500134232 T^{13} + 14795960831236708 T^{14} + 21844423686036317 T^{15} + 1084556791885588110 T^{16} + 1110798040039637105 T^{17} + 64317214714253425780 T^{18} + 34518831514203340844 T^{19} + \)\(29\!\cdots\!80\)\( T^{20} + \)\(42\!\cdots\!76\)\( T^{21} + \)\(99\!\cdots\!26\)\( T^{22} - \)\(80\!\cdots\!57\)\( T^{23} + \)\(21\!\cdots\!19\)\( T^{24} - \)\(24\!\cdots\!21\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 - 5 T + 345 T^{2} - 3591 T^{3} + 52040 T^{4} - 803510 T^{5} + 6724090 T^{6} - 84832146 T^{7} + 954851730 T^{8} - 7003178187 T^{9} + 102942275298 T^{10} - 896453396927 T^{11} + 8166534466504 T^{12} - 102542068062340 T^{13} + 726821567518856 T^{14} - 7100807357058767 T^{15} + 72571112874555762 T^{16} - 439395093574697067 T^{17} + 5331948825300496770 T^{18} - 42159989434072032306 T^{19} + \)\(29\!\cdots\!10\)\( T^{20} - \)\(31\!\cdots\!10\)\( T^{21} + \)\(18\!\cdots\!60\)\( T^{22} - \)\(11\!\cdots\!91\)\( T^{23} + \)\(95\!\cdots\!05\)\( T^{24} - \)\(12\!\cdots\!05\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 + 32 T + 1025 T^{2} + 21221 T^{3} + 416838 T^{4} + 6597823 T^{5} + 100334566 T^{6} + 1326450040 T^{7} + 17153529826 T^{8} + 200327181525 T^{9} + 2317333427897 T^{10} + 24686929406536 T^{11} + 261782944164695 T^{12} + 2574298225023527 T^{13} + 25206083034738800 T^{14} + 229112542027093903 T^{15} + 2073582700728549095 T^{16} + 17403519936796277384 T^{17} + \)\(14\!\cdots\!77\)\( T^{18} + \)\(11\!\cdots\!25\)\( T^{19} + \)\(85\!\cdots\!86\)\( T^{20} + \)\(58\!\cdots\!60\)\( T^{21} + \)\(39\!\cdots\!46\)\( T^{22} + \)\(23\!\cdots\!07\)\( T^{23} + \)\(12\!\cdots\!38\)\( T^{24} + \)\(58\!\cdots\!69\)\( T^{25} + \)\(25\!\cdots\!25\)\( T^{26} + \)\(70\!\cdots\!08\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 5 T + 422 T^{2} - 1578 T^{3} + 93569 T^{4} - 370915 T^{5} + 15157766 T^{6} - 73027422 T^{7} + 2023173368 T^{8} - 11444954989 T^{9} + 236016652524 T^{10} - 1418002989496 T^{11} + 24590030482598 T^{12} - 146092727339179 T^{13} + 2309405817044080 T^{14} - 13002252733186931 T^{15} + 194777631452658758 T^{16} - 999648149502005624 T^{17} + 14808213692674066284 T^{18} - 63909309049705141061 T^{19} + \)\(10\!\cdots\!48\)\( T^{20} - \)\(32\!\cdots\!38\)\( T^{21} + \)\(59\!\cdots\!46\)\( T^{22} - \)\(12\!\cdots\!35\)\( T^{23} + \)\(29\!\cdots\!69\)\( T^{24} - \)\(43\!\cdots\!42\)\( T^{25} + \)\(10\!\cdots\!62\)\( T^{26} - \)\(10\!\cdots\!45\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 17 T + 986 T^{2} - 15820 T^{3} + 470826 T^{4} - 7053636 T^{5} + 144924401 T^{6} - 2004789405 T^{7} + 32241260026 T^{8} - 407868491105 T^{9} + 5500593607150 T^{10} - 63213808754686 T^{11} + 744138546561816 T^{12} - 7742841362490186 T^{13} + 81315160715957962 T^{14} - 764847151283719042 T^{15} + 7237049303720258618 T^{16} - 61331046432284763306 T^{17} + \)\(52\!\cdots\!04\)\( T^{18} - \)\(39\!\cdots\!26\)\( T^{19} + \)\(30\!\cdots\!50\)\( T^{20} - \)\(20\!\cdots\!05\)\( T^{21} + \)\(14\!\cdots\!54\)\( T^{22} - \)\(78\!\cdots\!05\)\( T^{23} + \)\(50\!\cdots\!09\)\( T^{24} - \)\(21\!\cdots\!36\)\( T^{25} + \)\(13\!\cdots\!14\)\( T^{26} - \)\(39\!\cdots\!20\)\( T^{27} + \)\(21\!\cdots\!34\)\( T^{28} - \)\(33\!\cdots\!97\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 - 25 T + 1277 T^{2} - 25815 T^{3} + 748733 T^{4} - 12746999 T^{5} + 271330423 T^{6} - 3988492683 T^{7} + 68510390768 T^{8} - 883261634367 T^{9} + 12826359323496 T^{10} - 146408913131833 T^{11} + 1844302166730802 T^{12} - 18729265227649153 T^{13} + 207713480322220132 T^{14} - 1878161833456515498 T^{15} + 18486499748677591748 T^{16} - \)\(14\!\cdots\!13\)\( T^{17} + \)\(13\!\cdots\!38\)\( T^{18} - \)\(91\!\cdots\!53\)\( T^{19} + \)\(71\!\cdots\!04\)\( T^{20} - \)\(43\!\cdots\!87\)\( T^{21} + \)\(30\!\cdots\!72\)\( T^{22} - \)\(15\!\cdots\!23\)\( T^{23} + \)\(95\!\cdots\!07\)\( T^{24} - \)\(39\!\cdots\!99\)\( T^{25} + \)\(20\!\cdots\!37\)\( T^{26} - \)\(63\!\cdots\!15\)\( T^{27} + \)\(28\!\cdots\!13\)\( T^{28} - \)\(48\!\cdots\!25\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 + 8 T + 817 T^{2} + 5913 T^{3} + 333755 T^{4} + 2252561 T^{5} + 91045055 T^{6} + 583860801 T^{7} + 18610819114 T^{8} + 114391311396 T^{9} + 3027412974029 T^{10} + 17843073352680 T^{11} + 406009662544725 T^{12} + 2279656909874034 T^{13} + 45858418947650979 T^{14} + 242258138686473751 T^{15} + 4413352207547873354 T^{16} + 21560974343096163839 T^{17} + \)\(36\!\cdots\!59\)\( T^{18} + \)\(16\!\cdots\!46\)\( T^{19} + \)\(25\!\cdots\!25\)\( T^{20} + \)\(99\!\cdots\!20\)\( T^{21} + \)\(15\!\cdots\!69\)\( T^{22} + \)\(50\!\cdots\!84\)\( T^{23} + \)\(73\!\cdots\!34\)\( T^{24} + \)\(20\!\cdots\!09\)\( T^{25} + \)\(28\!\cdots\!55\)\( T^{26} + \)\(62\!\cdots\!29\)\( T^{27} + \)\(82\!\cdots\!55\)\( T^{28} + \)\(12\!\cdots\!97\)\( T^{29} + \)\(15\!\cdots\!97\)\( T^{30} + \)\(13\!\cdots\!92\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 24 T + 1086 T^{2} + 20951 T^{3} + 558286 T^{4} + 9130858 T^{5} + 184197506 T^{6} + 2641607394 T^{7} + 44269447927 T^{8} + 568718954473 T^{9} + 8287662204035 T^{10} + 96651433774092 T^{11} + 1256244947434000 T^{12} + 13404462019296786 T^{13} + 157751175041590184 T^{14} + 1546403013439202027 T^{15} + 16626703884170538951 T^{16} + \)\(14\!\cdots\!66\)\( T^{17} + \)\(14\!\cdots\!39\)\( T^{18} + \)\(12\!\cdots\!67\)\( T^{19} + \)\(11\!\cdots\!96\)\( T^{20} + \)\(84\!\cdots\!26\)\( T^{21} + \)\(70\!\cdots\!00\)\( T^{22} + \)\(48\!\cdots\!12\)\( T^{23} + \)\(36\!\cdots\!15\)\( T^{24} + \)\(22\!\cdots\!13\)\( T^{25} + \)\(15\!\cdots\!43\)\( T^{26} + \)\(82\!\cdots\!94\)\( T^{27} + \)\(51\!\cdots\!34\)\( T^{28} + \)\(22\!\cdots\!18\)\( T^{29} + \)\(12\!\cdots\!34\)\( T^{30} + \)\(40\!\cdots\!91\)\( T^{31} + \)\(18\!\cdots\!14\)\( T^{32} + \)\(37\!\cdots\!64\)\( T^{33} + \)\(13\!\cdots\!29\)\( T^{34} \))(\( 1 - 17 T + 1213 T^{2} - 18773 T^{3} + 705167 T^{4} - 10012463 T^{5} + 262678576 T^{6} - 3440081840 T^{7} + 70667391613 T^{8} - 856450450518 T^{9} + 14655457327229 T^{10} - 164642707018568 T^{11} + 2438661479542365 T^{12} - 25402683126946164 T^{13} + 334053709631846676 T^{14} - 3223366640235621557 T^{15} + 38281786996218072758 T^{16} - \)\(34\!\cdots\!40\)\( T^{17} + \)\(37\!\cdots\!32\)\( T^{18} - \)\(30\!\cdots\!60\)\( T^{19} + \)\(30\!\cdots\!18\)\( T^{20} - \)\(22\!\cdots\!33\)\( T^{21} + \)\(20\!\cdots\!16\)\( T^{22} - \)\(14\!\cdots\!36\)\( T^{23} + \)\(12\!\cdots\!65\)\( T^{24} - \)\(72\!\cdots\!72\)\( T^{25} + \)\(57\!\cdots\!49\)\( T^{26} - \)\(30\!\cdots\!62\)\( T^{27} + \)\(22\!\cdots\!13\)\( T^{28} - \)\(95\!\cdots\!60\)\( T^{29} + \)\(64\!\cdots\!96\)\( T^{30} - \)\(22\!\cdots\!47\)\( T^{31} + \)\(13\!\cdots\!47\)\( T^{32} - \)\(32\!\cdots\!77\)\( T^{33} + \)\(18\!\cdots\!93\)\( T^{34} - \)\(23\!\cdots\!93\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))
$97$ (\( 1 - T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 11 T + 97 T^{2} \))(\( 1 + 19 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 27 T + 372 T^{2} - 2619 T^{3} + 9409 T^{4} \))(\( 1 + 177 T^{2} + 9409 T^{4} \))(\( 1 + 146 T^{2} + 9409 T^{4} \))(\( 1 - 18 T + 273 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 9 T + 158 T^{2} + 907 T^{3} + 15326 T^{4} + 84681 T^{5} + 912673 T^{6} \))(\( 1 + 10 T + 216 T^{2} + 1690 T^{3} + 20952 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 - 11 T + 227 T^{2} - 1916 T^{3} + 21839 T^{4} - 186229 T^{5} + 2118383 T^{6} - 18027644 T^{7} + 207176771 T^{8} - 973822091 T^{9} + 8587340257 T^{10} \))(\( 1 + 4 T + 501 T^{2} + 1151 T^{3} + 129781 T^{4} + 218247 T^{5} + 23001178 T^{6} + 31050897 T^{7} + 2957902923 T^{8} + 3288593497 T^{9} + 286916583531 T^{10} + 292157889873 T^{11} + 20992554128794 T^{12} + 19321249990407 T^{13} + 1114473605893717 T^{14} + 958750777673279 T^{15} + 40479940523534613 T^{16} + 31349734377507844 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 11 T + 312 T^{2} + 2960 T^{3} + 46950 T^{4} + 246022 T^{5} + 2985909 T^{6} - 8069923 T^{7} - 5718697 T^{8} - 2885202234 T^{9} - 554713609 T^{10} - 75929905507 T^{11} + 2725158524757 T^{12} + 21780150770182 T^{13} + 403175625066150 T^{14} + 2465597134589840 T^{15} + 25209064757171256 T^{16} + 86211769538146571 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 37 T + 929 T^{2} + 15119 T^{3} + 188214 T^{4} + 1674466 T^{5} + 11386735 T^{6} + 55154865 T^{7} + 377925204 T^{8} + 4182188725 T^{9} + 53429110902 T^{10} + 405672306325 T^{11} + 3555898244436 T^{12} + 50338356104145 T^{13} + 1008059462487535 T^{14} + 14379209290777762 T^{15} + 156776992935706806 T^{16} + 1221589263024590447 T^{17} + 7280975809176196769 T^{18} + 28128549170218913029 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 6 T + 518 T^{2} + 5125 T^{3} + 141901 T^{4} + 1741764 T^{5} + 28706012 T^{6} + 350534097 T^{7} + 4640936256 T^{8} + 49421354953 T^{9} + 589065796602 T^{10} + 5366706443131 T^{11} + 57139382270394 T^{12} + 465005528752777 T^{13} + 4235657215572288 T^{14} + 31032531573394257 T^{15} + 246508292465525084 T^{16} + 1450840651193154756 T^{17} + 11465357365728712813 T^{18} + 40166847171181925125 T^{19} + \)\(39\!\cdots\!06\)\( T^{20} + \)\(44\!\cdots\!94\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 + 23 T + 1033 T^{2} + 19217 T^{3} + 486206 T^{4} + 7648422 T^{5} + 140761447 T^{6} + 1916109695 T^{7} + 28217622613 T^{8} + 336116754628 T^{9} + 4152195365745 T^{10} + 43391158211158 T^{11} + 461451038046399 T^{12} + 4208942346482326 T^{13} + 39068006196294705 T^{14} + 306764686796600644 T^{15} + 2498085841458231253 T^{16} + 16454285920701491615 T^{17} + \)\(11\!\cdots\!63\)\( T^{18} + \)\(61\!\cdots\!86\)\( T^{19} + \)\(38\!\cdots\!66\)\( T^{20} + \)\(14\!\cdots\!89\)\( T^{21} + \)\(76\!\cdots\!17\)\( T^{22} + \)\(16\!\cdots\!19\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 28 T + 981 T^{2} + 19355 T^{3} + 411565 T^{4} + 6498521 T^{5} + 106240685 T^{6} + 1425959671 T^{7} + 19492649372 T^{8} + 228978160994 T^{9} + 2717188546266 T^{10} + 28292684038246 T^{11} + 296559784269766 T^{12} + 2744390351709862 T^{13} + 25566027031816794 T^{14} + 208982185128876962 T^{15} + 1725670233688261532 T^{16} + 12245200887636775447 T^{17} + 88495516389480336365 T^{18} + \)\(52\!\cdots\!73\)\( T^{19} + \)\(32\!\cdots\!65\)\( T^{20} + \)\(14\!\cdots\!35\)\( T^{21} + \)\(72\!\cdots\!69\)\( T^{22} + \)\(20\!\cdots\!84\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 11 T + 907 T^{2} + 9479 T^{3} + 395182 T^{4} + 3877862 T^{5} + 109282537 T^{6} + 993842659 T^{7} + 21345221155 T^{8} + 177213077812 T^{9} + 3100203992587 T^{10} + 23074689152194 T^{11} + 343184815419793 T^{12} + 2238244847762818 T^{13} + 29169819366251083 T^{14} + 161737591365911476 T^{15} + 1889677081638139555 T^{16} + 8534465074754623363 T^{17} + 91029293948617624873 T^{18} + \)\(31\!\cdots\!06\)\( T^{19} + \)\(30\!\cdots\!02\)\( T^{20} + \)\(72\!\cdots\!43\)\( T^{21} + \)\(66\!\cdots\!43\)\( T^{22} + \)\(78\!\cdots\!83\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 33 T + 918 T^{2} + 17930 T^{3} + 325451 T^{4} + 5041631 T^{5} + 74423519 T^{6} + 1001008651 T^{7} + 12888285296 T^{8} + 155210648655 T^{9} + 1790997776372 T^{10} + 19627383067414 T^{11} + 206346989017944 T^{12} + 2074236813229226 T^{13} + 20015657934740568 T^{14} + 184674047281298326 T^{15} + 1634595313554762356 T^{16} + 13740687128970767055 T^{17} + \)\(11\!\cdots\!72\)\( T^{18} + \)\(83\!\cdots\!79\)\( T^{19} + \)\(60\!\cdots\!47\)\( T^{20} + \)\(39\!\cdots\!91\)\( T^{21} + \)\(24\!\cdots\!67\)\( T^{22} + \)\(13\!\cdots\!70\)\( T^{23} + \)\(65\!\cdots\!54\)\( T^{24} + \)\(22\!\cdots\!53\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 + 17 T + 937 T^{2} + 14793 T^{3} + 429794 T^{4} + 6192006 T^{5} + 127205906 T^{6} + 1655599168 T^{7} + 26977588855 T^{8} + 315461663430 T^{9} + 4314373024926 T^{10} + 45137209550265 T^{11} + 534240455640249 T^{12} + 4971698713800874 T^{13} + 51821324197104153 T^{14} + 424696004658443385 T^{15} + 3937611771778287198 T^{16} + 27927594246521893830 T^{17} + \)\(23\!\cdots\!35\)\( T^{18} + \)\(13\!\cdots\!72\)\( T^{19} + \)\(10\!\cdots\!78\)\( T^{20} + \)\(48\!\cdots\!66\)\( T^{21} + \)\(32\!\cdots\!98\)\( T^{22} + \)\(10\!\cdots\!57\)\( T^{23} + \)\(67\!\cdots\!61\)\( T^{24} + \)\(11\!\cdots\!97\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 - 9 T + 671 T^{2} - 4861 T^{3} + 207147 T^{4} - 1206979 T^{5} + 39781756 T^{6} - 182933318 T^{7} + 5449665747 T^{8} - 18785404466 T^{9} + 586992295470 T^{10} - 1377853557685 T^{11} + 55277251894896 T^{12} - 85982810870594 T^{13} + 5183029544901984 T^{14} - 8340332654447618 T^{15} + 520103663079076464 T^{16} - 1257529740053042005 T^{17} + 51966005870498657070 T^{18} - \)\(16\!\cdots\!62\)\( T^{19} + \)\(45\!\cdots\!63\)\( T^{20} - \)\(14\!\cdots\!34\)\( T^{21} + \)\(31\!\cdots\!16\)\( T^{22} - \)\(91\!\cdots\!43\)\( T^{23} + \)\(15\!\cdots\!03\)\( T^{24} - \)\(34\!\cdots\!33\)\( T^{25} + \)\(46\!\cdots\!11\)\( T^{26} - \)\(60\!\cdots\!93\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 9 T + 739 T^{2} - 7315 T^{3} + 291215 T^{4} - 2930607 T^{5} + 78595612 T^{6} - 773484824 T^{7} + 15995823105 T^{8} - 149943394960 T^{9} + 2573017844250 T^{10} - 22547921578489 T^{11} + 335327331178786 T^{12} - 2706125632119984 T^{13} + 35846898251371860 T^{14} - 262494186315638448 T^{15} + 3155094859061197474 T^{16} - 20578879230804291097 T^{17} + \)\(22\!\cdots\!50\)\( T^{18} - \)\(12\!\cdots\!20\)\( T^{19} + \)\(13\!\cdots\!45\)\( T^{20} - \)\(62\!\cdots\!12\)\( T^{21} + \)\(61\!\cdots\!32\)\( T^{22} - \)\(22\!\cdots\!19\)\( T^{23} + \)\(21\!\cdots\!35\)\( T^{24} - \)\(52\!\cdots\!95\)\( T^{25} + \)\(51\!\cdots\!99\)\( T^{26} - \)\(60\!\cdots\!93\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 + 32 T + 1559 T^{2} + 36491 T^{3} + 1035519 T^{4} + 19444647 T^{5} + 410686828 T^{6} + 6498483401 T^{7} + 111850337879 T^{8} + 1534543559333 T^{9} + 22504352019731 T^{10} + 272190900842061 T^{11} + 3485305059813013 T^{12} + 37498633198937313 T^{13} + 425011774969425790 T^{14} + 4081442009823465188 T^{15} + 41226142172034301630 T^{16} + \)\(35\!\cdots\!17\)\( T^{17} + \)\(31\!\cdots\!49\)\( T^{18} + \)\(24\!\cdots\!41\)\( T^{19} + \)\(19\!\cdots\!67\)\( T^{20} + \)\(12\!\cdots\!57\)\( T^{21} + \)\(90\!\cdots\!27\)\( T^{22} + \)\(50\!\cdots\!61\)\( T^{23} + \)\(31\!\cdots\!76\)\( T^{24} + \)\(14\!\cdots\!03\)\( T^{25} + \)\(74\!\cdots\!07\)\( T^{26} + \)\(25\!\cdots\!31\)\( T^{27} + \)\(10\!\cdots\!43\)\( T^{28} + \)\(20\!\cdots\!08\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 + 5 T + 712 T^{2} + 2874 T^{3} + 246890 T^{4} + 925592 T^{5} + 56788445 T^{6} + 225808385 T^{7} + 9811021785 T^{8} + 44376510036 T^{9} + 1365059891663 T^{10} + 7091543298185 T^{11} + 161623100627696 T^{12} + 926679521644469 T^{13} + 17070377910177236 T^{14} + 99266269359580292 T^{15} + 1655826657287191892 T^{16} + 8719127619152808821 T^{17} + \)\(14\!\cdots\!08\)\( T^{18} + \)\(62\!\cdots\!85\)\( T^{19} + \)\(11\!\cdots\!91\)\( T^{20} + \)\(36\!\cdots\!44\)\( T^{21} + \)\(79\!\cdots\!05\)\( T^{22} + \)\(17\!\cdots\!85\)\( T^{23} + \)\(43\!\cdots\!65\)\( T^{24} + \)\(68\!\cdots\!08\)\( T^{25} + \)\(17\!\cdots\!70\)\( T^{26} + \)\(19\!\cdots\!34\)\( T^{27} + \)\(47\!\cdots\!24\)\( T^{28} + \)\(32\!\cdots\!45\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 - 4 T + 845 T^{2} - 2881 T^{3} + 362077 T^{4} - 1097779 T^{5} + 104658263 T^{6} - 293030355 T^{7} + 22875323071 T^{8} - 60674943102 T^{9} + 4008910226563 T^{10} - 10172073748165 T^{11} + 582319951392153 T^{12} - 1408663719038425 T^{13} + 71476501086101977 T^{14} - 162854465245286297 T^{15} + 7490902164935780884 T^{16} - 15796883128792770809 T^{17} + \)\(67\!\cdots\!93\)\( T^{18} - \)\(12\!\cdots\!25\)\( T^{19} + \)\(51\!\cdots\!93\)\( T^{20} - \)\(87\!\cdots\!05\)\( T^{21} + \)\(33\!\cdots\!27\)\( T^{22} - \)\(49\!\cdots\!26\)\( T^{23} + \)\(17\!\cdots\!31\)\( T^{24} - \)\(22\!\cdots\!35\)\( T^{25} + \)\(77\!\cdots\!87\)\( T^{26} - \)\(78\!\cdots\!87\)\( T^{27} + \)\(25\!\cdots\!57\)\( T^{28} - \)\(19\!\cdots\!37\)\( T^{29} + \)\(55\!\cdots\!05\)\( T^{30} - \)\(25\!\cdots\!72\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 48 T + 1887 T^{2} - 52393 T^{3} + 1283948 T^{4} - 26611097 T^{5} + 505762407 T^{6} - 8645209280 T^{7} + 138442830844 T^{8} - 2052134126338 T^{9} + 28847445551387 T^{10} - 381122774025014 T^{11} + 4809679602321638 T^{12} - 57543086922359530 T^{13} + 660478425851852843 T^{14} - 7222269761571427641 T^{15} + 75944685371170474837 T^{16} - \)\(76\!\cdots\!46\)\( T^{17} + \)\(73\!\cdots\!89\)\( T^{18} - \)\(67\!\cdots\!69\)\( T^{19} + \)\(60\!\cdots\!39\)\( T^{20} - \)\(50\!\cdots\!30\)\( T^{21} + \)\(41\!\cdots\!66\)\( T^{22} - \)\(31\!\cdots\!06\)\( T^{23} + \)\(23\!\cdots\!31\)\( T^{24} - \)\(16\!\cdots\!18\)\( T^{25} + \)\(10\!\cdots\!48\)\( T^{26} - \)\(63\!\cdots\!20\)\( T^{27} + \)\(36\!\cdots\!71\)\( T^{28} - \)\(18\!\cdots\!77\)\( T^{29} + \)\(86\!\cdots\!96\)\( T^{30} - \)\(34\!\cdots\!17\)\( T^{31} + \)\(11\!\cdots\!91\)\( T^{32} - \)\(29\!\cdots\!08\)\( T^{33} + \)\(59\!\cdots\!37\)\( T^{34} \))(\( 1 - 32 T + 1688 T^{2} - 42379 T^{3} + 1305343 T^{4} - 27233482 T^{5} + 627833981 T^{6} - 11260425921 T^{7} + 212745624515 T^{8} - 3351468393068 T^{9} + 54256025164121 T^{10} - 761383581163498 T^{11} + 10830000598630171 T^{12} - 136635922653679728 T^{13} + 1733692938237979841 T^{14} - 19776912020358072323 T^{15} + \)\(22\!\cdots\!38\)\( T^{16} - \)\(23\!\cdots\!97\)\( T^{17} + \)\(24\!\cdots\!50\)\( T^{18} - \)\(22\!\cdots\!09\)\( T^{19} + \)\(21\!\cdots\!42\)\( T^{20} - \)\(18\!\cdots\!79\)\( T^{21} + \)\(15\!\cdots\!21\)\( T^{22} - \)\(11\!\cdots\!96\)\( T^{23} + \)\(90\!\cdots\!59\)\( T^{24} - \)\(61\!\cdots\!74\)\( T^{25} + \)\(42\!\cdots\!81\)\( T^{26} - \)\(25\!\cdots\!56\)\( T^{27} + \)\(15\!\cdots\!35\)\( T^{28} - \)\(80\!\cdots\!13\)\( T^{29} + \)\(43\!\cdots\!21\)\( T^{30} - \)\(18\!\cdots\!14\)\( T^{31} + \)\(85\!\cdots\!67\)\( T^{32} - \)\(26\!\cdots\!47\)\( T^{33} + \)\(10\!\cdots\!48\)\( T^{34} - \)\(19\!\cdots\!84\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))
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