Properties

Label 4025.2
Level 4025
Weight 2
Dimension 553208
Nonzero newspaces 48
Sturm bound 2534400

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 4025 = 5^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(2534400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4025))\).

Total New Old
Modular forms 640992 561820 79172
Cusp forms 626209 553208 73001
Eisenstein series 14783 8612 6171

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4025))\)

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
4025.2.a \(\chi_{4025}(1, \cdot)\) 4025.2.a.a 1 1
4025.2.a.b 1
4025.2.a.c 1
4025.2.a.d 1
4025.2.a.e 1
4025.2.a.f 1
4025.2.a.g 1
4025.2.a.h 2
4025.2.a.i 2
4025.2.a.j 3
4025.2.a.k 3
4025.2.a.l 4
4025.2.a.m 4
4025.2.a.n 4
4025.2.a.o 4
4025.2.a.p 5
4025.2.a.q 5
4025.2.a.r 5
4025.2.a.s 8
4025.2.a.t 8
4025.2.a.u 8
4025.2.a.v 8
4025.2.a.w 8
4025.2.a.x 12
4025.2.a.y 12
4025.2.a.z 14
4025.2.a.ba 14
4025.2.a.bb 14
4025.2.a.bc 14
4025.2.a.bd 21
4025.2.a.be 21
4025.2.c \(\chi_{4025}(2899, \cdot)\) n/a 196 1
4025.2.d \(\chi_{4025}(4024, \cdot)\) n/a 284 1
4025.2.f \(\chi_{4025}(1126, \cdot)\) n/a 298 1
4025.2.i \(\chi_{4025}(576, \cdot)\) n/a 556 2
4025.2.k \(\chi_{4025}(2232, \cdot)\) n/a 528 2
4025.2.l \(\chi_{4025}(1632, \cdot)\) n/a 432 2
4025.2.n \(\chi_{4025}(806, \cdot)\) n/a 1312 4
4025.2.q \(\chi_{4025}(551, \cdot)\) n/a 596 2
4025.2.s \(\chi_{4025}(2299, \cdot)\) n/a 568 2
4025.2.t \(\chi_{4025}(599, \cdot)\) n/a 528 2
4025.2.x \(\chi_{4025}(321, \cdot)\) n/a 1904 4
4025.2.z \(\chi_{4025}(804, \cdot)\) n/a 1904 4
4025.2.ba \(\chi_{4025}(484, \cdot)\) n/a 1328 4
4025.2.bc \(\chi_{4025}(351, \cdot)\) n/a 2280 10
4025.2.bd \(\chi_{4025}(507, \cdot)\) n/a 1056 4
4025.2.bg \(\chi_{4025}(2207, \cdot)\) n/a 1136 4
4025.2.bh \(\chi_{4025}(116, \cdot)\) n/a 3520 8
4025.2.bj \(\chi_{4025}(22, \cdot)\) n/a 2880 8
4025.2.bk \(\chi_{4025}(622, \cdot)\) n/a 3520 8
4025.2.bo \(\chi_{4025}(76, \cdot)\) n/a 2980 10
4025.2.bq \(\chi_{4025}(1049, \cdot)\) n/a 2840 10
4025.2.br \(\chi_{4025}(449, \cdot)\) n/a 2160 10
4025.2.bu \(\chi_{4025}(254, \cdot)\) n/a 3520 8
4025.2.bv \(\chi_{4025}(229, \cdot)\) n/a 3808 8
4025.2.bx \(\chi_{4025}(206, \cdot)\) n/a 3808 8
4025.2.ca \(\chi_{4025}(151, \cdot)\) n/a 5960 20
4025.2.cc \(\chi_{4025}(43, \cdot)\) n/a 4320 20
4025.2.cd \(\chi_{4025}(118, \cdot)\) n/a 5680 20
4025.2.cf \(\chi_{4025}(36, \cdot)\) n/a 14400 40
4025.2.cg \(\chi_{4025}(137, \cdot)\) n/a 7616 16
4025.2.cj \(\chi_{4025}(47, \cdot)\) n/a 7040 16
4025.2.cl \(\chi_{4025}(324, \cdot)\) n/a 5680 20
4025.2.cm \(\chi_{4025}(199, \cdot)\) n/a 5680 20
4025.2.co \(\chi_{4025}(201, \cdot)\) n/a 5960 20
4025.2.cs \(\chi_{4025}(29, \cdot)\) n/a 14400 40
4025.2.ct \(\chi_{4025}(34, \cdot)\) n/a 19040 40
4025.2.cv \(\chi_{4025}(111, \cdot)\) n/a 19040 40
4025.2.cy \(\chi_{4025}(107, \cdot)\) n/a 11360 40
4025.2.db \(\chi_{4025}(82, \cdot)\) n/a 11360 40
4025.2.dc \(\chi_{4025}(16, \cdot)\) n/a 38080 80
4025.2.de \(\chi_{4025}(13, \cdot)\) n/a 38080 80
4025.2.df \(\chi_{4025}(113, \cdot)\) n/a 28800 80
4025.2.dj \(\chi_{4025}(61, \cdot)\) n/a 38080 80
4025.2.dl \(\chi_{4025}(19, \cdot)\) n/a 38080 80
4025.2.dm \(\chi_{4025}(4, \cdot)\) n/a 38080 80
4025.2.do \(\chi_{4025}(3, \cdot)\) n/a 76160 160
4025.2.dr \(\chi_{4025}(37, \cdot)\) n/a 76160 160

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4025))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4025)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(115))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(161))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(175))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(575))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(805))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + T^{2} - 3 T^{3} + 2 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 - 2 T + 5 T^{2} - 7 T^{3} + 10 T^{4} - 8 T^{5} + 8 T^{6} \))(\( 1 + 3 T + 7 T^{2} + 12 T^{3} + 19 T^{4} + 24 T^{5} + 28 T^{6} + 24 T^{7} + 16 T^{8} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 7 T^{4} + 4 T^{5} + 12 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 - T - T^{2} + 2 T^{3} + T^{4} + 4 T^{5} - 4 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 5 T^{2} - 9 T^{3} + 14 T^{4} - 18 T^{5} + 20 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + T^{2} - T^{3} + 2 T^{4} + 7 T^{5} + 4 T^{6} - 4 T^{7} + 8 T^{8} + 32 T^{9} + 32 T^{10} \))(\( 1 - T + 4 T^{2} - 2 T^{3} + 10 T^{4} - 5 T^{5} + 20 T^{6} - 8 T^{7} + 32 T^{8} - 16 T^{9} + 32 T^{10} \))(\( 1 - 3 T + 8 T^{2} - 14 T^{3} + 24 T^{4} - 33 T^{5} + 48 T^{6} - 56 T^{7} + 64 T^{8} - 48 T^{9} + 32 T^{10} \))(\( 1 + 3 T + 10 T^{2} + 23 T^{3} + 52 T^{4} + 96 T^{5} + 172 T^{6} + 267 T^{7} + 407 T^{8} + 534 T^{9} + 688 T^{10} + 768 T^{11} + 832 T^{12} + 736 T^{13} + 640 T^{14} + 384 T^{15} + 256 T^{16} \))(\( 1 + T + 5 T^{2} + 5 T^{3} + 16 T^{4} + 17 T^{5} + 46 T^{6} + 41 T^{7} + 102 T^{8} + 82 T^{9} + 184 T^{10} + 136 T^{11} + 256 T^{12} + 160 T^{13} + 320 T^{14} + 128 T^{15} + 256 T^{16} \))(\( 1 + T + 6 T^{2} + 5 T^{3} + 20 T^{4} + 16 T^{5} + 56 T^{6} + 45 T^{7} + 131 T^{8} + 90 T^{9} + 224 T^{10} + 128 T^{11} + 320 T^{12} + 160 T^{13} + 384 T^{14} + 128 T^{15} + 256 T^{16} \))(\( 1 - T + 6 T^{2} - 5 T^{3} + 20 T^{4} - 16 T^{5} + 56 T^{6} - 45 T^{7} + 131 T^{8} - 90 T^{9} + 224 T^{10} - 128 T^{11} + 320 T^{12} - 160 T^{13} + 384 T^{14} - 128 T^{15} + 256 T^{16} \))(\( 1 - 3 T + 10 T^{2} - 23 T^{3} + 52 T^{4} - 96 T^{5} + 172 T^{6} - 267 T^{7} + 407 T^{8} - 534 T^{9} + 688 T^{10} - 768 T^{11} + 832 T^{12} - 736 T^{13} + 640 T^{14} - 384 T^{15} + 256 T^{16} \))(\( 1 + 2 T + 10 T^{2} + 18 T^{3} + 55 T^{4} + 92 T^{5} + 214 T^{6} + 332 T^{7} + 658 T^{8} + 938 T^{9} + 1671 T^{10} + 2194 T^{11} + 3613 T^{12} + 4388 T^{13} + 6684 T^{14} + 7504 T^{15} + 10528 T^{16} + 10624 T^{17} + 13696 T^{18} + 11776 T^{19} + 14080 T^{20} + 9216 T^{21} + 10240 T^{22} + 4096 T^{23} + 4096 T^{24} \))(\( 1 - 2 T + 10 T^{2} - 18 T^{3} + 55 T^{4} - 92 T^{5} + 214 T^{6} - 332 T^{7} + 658 T^{8} - 938 T^{9} + 1671 T^{10} - 2194 T^{11} + 3613 T^{12} - 4388 T^{13} + 6684 T^{14} - 7504 T^{15} + 10528 T^{16} - 10624 T^{17} + 13696 T^{18} - 11776 T^{19} + 14080 T^{20} - 9216 T^{21} + 10240 T^{22} - 4096 T^{23} + 4096 T^{24} \))(\( 1 + 3 T + 10 T^{2} + 20 T^{3} + 43 T^{4} + 74 T^{5} + 136 T^{6} + 226 T^{7} + 385 T^{8} + 609 T^{9} + 951 T^{10} + 1439 T^{11} + 2122 T^{12} + 3131 T^{13} + 4407 T^{14} + 6262 T^{15} + 8488 T^{16} + 11512 T^{17} + 15216 T^{18} + 19488 T^{19} + 24640 T^{20} + 28928 T^{21} + 34816 T^{22} + 37888 T^{23} + 44032 T^{24} + 40960 T^{25} + 40960 T^{26} + 24576 T^{27} + 16384 T^{28} \))(\( 1 + T + 6 T^{2} + 8 T^{3} + 23 T^{4} + 34 T^{5} + 72 T^{6} + 106 T^{7} + 185 T^{8} + 271 T^{9} + 423 T^{10} + 613 T^{11} + 902 T^{12} + 1285 T^{13} + 1835 T^{14} + 2570 T^{15} + 3608 T^{16} + 4904 T^{17} + 6768 T^{18} + 8672 T^{19} + 11840 T^{20} + 13568 T^{21} + 18432 T^{22} + 17408 T^{23} + 23552 T^{24} + 16384 T^{25} + 24576 T^{26} + 8192 T^{27} + 16384 T^{28} \))(\( 1 - T + 6 T^{2} - 8 T^{3} + 23 T^{4} - 34 T^{5} + 72 T^{6} - 106 T^{7} + 185 T^{8} - 271 T^{9} + 423 T^{10} - 613 T^{11} + 902 T^{12} - 1285 T^{13} + 1835 T^{14} - 2570 T^{15} + 3608 T^{16} - 4904 T^{17} + 6768 T^{18} - 8672 T^{19} + 11840 T^{20} - 13568 T^{21} + 18432 T^{22} - 17408 T^{23} + 23552 T^{24} - 16384 T^{25} + 24576 T^{26} - 8192 T^{27} + 16384 T^{28} \))(\( 1 - 3 T + 10 T^{2} - 20 T^{3} + 43 T^{4} - 74 T^{5} + 136 T^{6} - 226 T^{7} + 385 T^{8} - 609 T^{9} + 951 T^{10} - 1439 T^{11} + 2122 T^{12} - 3131 T^{13} + 4407 T^{14} - 6262 T^{15} + 8488 T^{16} - 11512 T^{17} + 15216 T^{18} - 19488 T^{19} + 24640 T^{20} - 28928 T^{21} + 34816 T^{22} - 37888 T^{23} + 44032 T^{24} - 40960 T^{25} + 40960 T^{26} - 24576 T^{27} + 16384 T^{28} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + T^{2} + 9 T^{4} \))(\( ( 1 - T + 3 T^{2} )^{2} \))(\( 1 + 2 T + 7 T^{2} + 10 T^{3} + 21 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 + 2 T^{2} - 7 T^{3} + 6 T^{4} + 27 T^{6} \))(\( 1 + 6 T + 21 T^{2} + 53 T^{3} + 104 T^{4} + 159 T^{5} + 189 T^{6} + 162 T^{7} + 81 T^{8} \))(\( 1 + 4 T + 11 T^{2} + 21 T^{3} + 40 T^{4} + 63 T^{5} + 99 T^{6} + 108 T^{7} + 81 T^{8} \))(\( 1 - 3 T^{2} + 3 T^{3} + 12 T^{4} + 9 T^{5} - 27 T^{6} + 81 T^{8} \))(\( 1 - 5 T + 17 T^{2} - 43 T^{3} + 83 T^{4} - 129 T^{5} + 153 T^{6} - 135 T^{7} + 81 T^{8} \))(\( 1 + 2 T^{2} + 11 T^{4} - 10 T^{5} + 33 T^{6} + 54 T^{8} + 243 T^{10} \))(\( 1 - 4 T + 13 T^{2} - 29 T^{3} + 61 T^{4} - 109 T^{5} + 183 T^{6} - 261 T^{7} + 351 T^{8} - 324 T^{9} + 243 T^{10} \))(\( 1 - 6 T + 23 T^{2} - 65 T^{3} + 149 T^{4} - 283 T^{5} + 447 T^{6} - 585 T^{7} + 621 T^{8} - 486 T^{9} + 243 T^{10} \))(\( 1 + 2 T + 14 T^{2} + 23 T^{3} + 103 T^{4} + 152 T^{5} + 511 T^{6} + 650 T^{7} + 1787 T^{8} + 1950 T^{9} + 4599 T^{10} + 4104 T^{11} + 8343 T^{12} + 5589 T^{13} + 10206 T^{14} + 4374 T^{15} + 6561 T^{16} \))(\( 1 + 7 T + 32 T^{2} + 112 T^{3} + 328 T^{4} + 830 T^{5} + 1863 T^{6} + 3745 T^{7} + 6824 T^{8} + 11235 T^{9} + 16767 T^{10} + 22410 T^{11} + 26568 T^{12} + 27216 T^{13} + 23328 T^{14} + 15309 T^{15} + 6561 T^{16} \))(\( 1 + 4 T + 20 T^{2} + 57 T^{3} + 177 T^{4} + 398 T^{5} + 951 T^{6} + 1768 T^{7} + 3437 T^{8} + 5304 T^{9} + 8559 T^{10} + 10746 T^{11} + 14337 T^{12} + 13851 T^{13} + 14580 T^{14} + 8748 T^{15} + 6561 T^{16} \))(\( 1 - 4 T + 20 T^{2} - 57 T^{3} + 177 T^{4} - 398 T^{5} + 951 T^{6} - 1768 T^{7} + 3437 T^{8} - 5304 T^{9} + 8559 T^{10} - 10746 T^{11} + 14337 T^{12} - 13851 T^{13} + 14580 T^{14} - 8748 T^{15} + 6561 T^{16} \))(\( 1 - 2 T + 14 T^{2} - 23 T^{3} + 103 T^{4} - 152 T^{5} + 511 T^{6} - 650 T^{7} + 1787 T^{8} - 1950 T^{9} + 4599 T^{10} - 4104 T^{11} + 8343 T^{12} - 5589 T^{13} + 10206 T^{14} - 4374 T^{15} + 6561 T^{16} \))(\( 1 + 14 T^{2} + 4 T^{3} + 108 T^{4} + 40 T^{5} + 625 T^{6} + 240 T^{7} + 2874 T^{8} + 1128 T^{9} + 10992 T^{10} + 4056 T^{11} + 35812 T^{12} + 12168 T^{13} + 98928 T^{14} + 30456 T^{15} + 232794 T^{16} + 58320 T^{17} + 455625 T^{18} + 87480 T^{19} + 708588 T^{20} + 78732 T^{21} + 826686 T^{22} + 531441 T^{24} \))(\( 1 + 14 T^{2} - 4 T^{3} + 108 T^{4} - 40 T^{5} + 625 T^{6} - 240 T^{7} + 2874 T^{8} - 1128 T^{9} + 10992 T^{10} - 4056 T^{11} + 35812 T^{12} - 12168 T^{13} + 98928 T^{14} - 30456 T^{15} + 232794 T^{16} - 58320 T^{17} + 455625 T^{18} - 87480 T^{19} + 708588 T^{20} - 78732 T^{21} + 826686 T^{22} + 531441 T^{24} \))(\( 1 + 4 T + 20 T^{2} + 63 T^{3} + 209 T^{4} + 554 T^{5} + 1508 T^{6} + 3520 T^{7} + 8373 T^{8} + 17727 T^{9} + 38002 T^{10} + 73930 T^{11} + 145099 T^{12} + 260483 T^{13} + 471199 T^{14} + 781449 T^{15} + 1305891 T^{16} + 1996110 T^{17} + 3078162 T^{18} + 4307661 T^{19} + 6103917 T^{20} + 7698240 T^{21} + 9893988 T^{22} + 10904382 T^{23} + 12341241 T^{24} + 11160261 T^{25} + 10628820 T^{26} + 6377292 T^{27} + 4782969 T^{28} \))(\( 1 + 6 T + 30 T^{2} + 113 T^{3} + 379 T^{4} + 1128 T^{5} + 3092 T^{6} + 7852 T^{7} + 18729 T^{8} + 42123 T^{9} + 89988 T^{10} + 182742 T^{11} + 354537 T^{12} + 656181 T^{13} + 1163133 T^{14} + 1968543 T^{15} + 3190833 T^{16} + 4934034 T^{17} + 7289028 T^{18} + 10235889 T^{19} + 13653441 T^{20} + 17172324 T^{21} + 20286612 T^{22} + 22202424 T^{23} + 22379571 T^{24} + 20017611 T^{25} + 15943230 T^{26} + 9565938 T^{27} + 4782969 T^{28} \))(\( 1 - 6 T + 30 T^{2} - 113 T^{3} + 379 T^{4} - 1128 T^{5} + 3092 T^{6} - 7852 T^{7} + 18729 T^{8} - 42123 T^{9} + 89988 T^{10} - 182742 T^{11} + 354537 T^{12} - 656181 T^{13} + 1163133 T^{14} - 1968543 T^{15} + 3190833 T^{16} - 4934034 T^{17} + 7289028 T^{18} - 10235889 T^{19} + 13653441 T^{20} - 17172324 T^{21} + 20286612 T^{22} - 22202424 T^{23} + 22379571 T^{24} - 20017611 T^{25} + 15943230 T^{26} - 9565938 T^{27} + 4782969 T^{28} \))(\( 1 - 4 T + 20 T^{2} - 63 T^{3} + 209 T^{4} - 554 T^{5} + 1508 T^{6} - 3520 T^{7} + 8373 T^{8} - 17727 T^{9} + 38002 T^{10} - 73930 T^{11} + 145099 T^{12} - 260483 T^{13} + 471199 T^{14} - 781449 T^{15} + 1305891 T^{16} - 1996110 T^{17} + 3078162 T^{18} - 4307661 T^{19} + 6103917 T^{20} - 7698240 T^{21} + 9893988 T^{22} - 10904382 T^{23} + 12341241 T^{24} - 11160261 T^{25} + 10628820 T^{26} - 6377292 T^{27} + 4782969 T^{28} \))
$5$ 1
$7$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 - T )^{14} \))
$11$ (\( 1 + T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 121 T^{4} \))(\( 1 - 4 T + 33 T^{2} - 84 T^{3} + 363 T^{4} - 484 T^{5} + 1331 T^{6} \))(\( 1 + 7 T + 47 T^{2} + 161 T^{3} + 517 T^{4} + 847 T^{5} + 1331 T^{6} \))(\( 1 - 7 T + 58 T^{2} - 236 T^{3} + 1030 T^{4} - 2596 T^{5} + 7018 T^{6} - 9317 T^{7} + 14641 T^{8} \))(\( 1 - 11 T + 84 T^{2} - 418 T^{3} + 1630 T^{4} - 4598 T^{5} + 10164 T^{6} - 14641 T^{7} + 14641 T^{8} \))(\( 1 - 5 T + 44 T^{2} - 146 T^{3} + 724 T^{4} - 1606 T^{5} + 5324 T^{6} - 6655 T^{7} + 14641 T^{8} \))(\( 1 + 8 T + 47 T^{2} + 213 T^{3} + 833 T^{4} + 2343 T^{5} + 5687 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 27 T^{2} + 28 T^{3} + 126 T^{4} - 400 T^{5} + 1386 T^{6} + 3388 T^{7} + 35937 T^{8} + 58564 T^{9} + 161051 T^{10} \))(\( 1 + 7 T + 51 T^{2} + 201 T^{3} + 922 T^{4} + 2796 T^{5} + 10142 T^{6} + 24321 T^{7} + 67881 T^{8} + 102487 T^{9} + 161051 T^{10} \))(\( 1 + 11 T + 69 T^{2} + 299 T^{3} + 1060 T^{4} + 3464 T^{5} + 11660 T^{6} + 36179 T^{7} + 91839 T^{8} + 161051 T^{9} + 161051 T^{10} \))(\( 1 + 5 T + 70 T^{2} + 288 T^{3} + 2261 T^{4} + 7814 T^{5} + 44648 T^{6} + 129823 T^{7} + 592081 T^{8} + 1428053 T^{9} + 5402408 T^{10} + 10400434 T^{11} + 33103301 T^{12} + 46382688 T^{13} + 124009270 T^{14} + 97435855 T^{15} + 214358881 T^{16} \))(\( 1 - 6 T + 53 T^{2} - 273 T^{3} + 1395 T^{4} - 6203 T^{5} + 24895 T^{6} - 93532 T^{7} + 320928 T^{8} - 1028852 T^{9} + 3012295 T^{10} - 8256193 T^{11} + 20424195 T^{12} - 43966923 T^{13} + 93892733 T^{14} - 116923026 T^{15} + 214358881 T^{16} \))(\( 1 - 3 T + 58 T^{2} - 188 T^{3} + 1705 T^{4} - 5286 T^{5} + 32172 T^{6} - 89557 T^{7} + 420105 T^{8} - 985127 T^{9} + 3892812 T^{10} - 7035666 T^{11} + 24962905 T^{12} - 30277588 T^{13} + 102750538 T^{14} - 58461513 T^{15} + 214358881 T^{16} \))(\( 1 - 3 T + 58 T^{2} - 188 T^{3} + 1705 T^{4} - 5286 T^{5} + 32172 T^{6} - 89557 T^{7} + 420105 T^{8} - 985127 T^{9} + 3892812 T^{10} - 7035666 T^{11} + 24962905 T^{12} - 30277588 T^{13} + 102750538 T^{14} - 58461513 T^{15} + 214358881 T^{16} \))(\( 1 + 5 T + 70 T^{2} + 288 T^{3} + 2261 T^{4} + 7814 T^{5} + 44648 T^{6} + 129823 T^{7} + 592081 T^{8} + 1428053 T^{9} + 5402408 T^{10} + 10400434 T^{11} + 33103301 T^{12} + 46382688 T^{13} + 124009270 T^{14} + 97435855 T^{15} + 214358881 T^{16} \))(\( 1 + 8 T + 107 T^{2} + 694 T^{3} + 5424 T^{4} + 29570 T^{5} + 173242 T^{6} + 810066 T^{7} + 3885411 T^{8} + 15777182 T^{9} + 64461251 T^{10} + 228757088 T^{11} + 811137096 T^{12} + 2516327968 T^{13} + 7799811371 T^{14} + 20999429242 T^{15} + 56886302451 T^{16} + 130461939366 T^{17} + 306908770762 T^{18} + 576235646470 T^{19} + 1162682570544 T^{20} + 1636415697554 T^{21} + 2775304432307 T^{22} + 2282493364888 T^{23} + 3138428376721 T^{24} \))(\( 1 + 8 T + 107 T^{2} + 694 T^{3} + 5424 T^{4} + 29570 T^{5} + 173242 T^{6} + 810066 T^{7} + 3885411 T^{8} + 15777182 T^{9} + 64461251 T^{10} + 228757088 T^{11} + 811137096 T^{12} + 2516327968 T^{13} + 7799811371 T^{14} + 20999429242 T^{15} + 56886302451 T^{16} + 130461939366 T^{17} + 306908770762 T^{18} + 576235646470 T^{19} + 1162682570544 T^{20} + 1636415697554 T^{21} + 2775304432307 T^{22} + 2282493364888 T^{23} + 3138428376721 T^{24} \))(\( 1 - 5 T + 76 T^{2} - 272 T^{3} + 2324 T^{4} - 5905 T^{5} + 38186 T^{6} - 61069 T^{7} + 353283 T^{8} - 56808 T^{9} + 805238 T^{10} + 9768951 T^{11} - 32652216 T^{12} + 199091648 T^{13} - 572672536 T^{14} + 2190008128 T^{15} - 3950918136 T^{16} + 13002473781 T^{17} + 11789489558 T^{18} - 9148985208 T^{19} + 625862384763 T^{20} - 1190062045799 T^{21} + 8185508229866 T^{22} - 13923681115355 T^{23} + 60278574772724 T^{24} - 77604774406192 T^{25} + 238520556630796 T^{26} - 172613560719655 T^{27} + 379749833583241 T^{28} \))(\( 1 + 3 T + 56 T^{2} + 164 T^{3} + 1664 T^{4} + 5195 T^{5} + 35322 T^{6} + 113563 T^{7} + 588855 T^{8} + 1869624 T^{9} + 8339162 T^{10} + 25257627 T^{11} + 105090824 T^{12} + 298539964 T^{13} + 1203660840 T^{14} + 3283939604 T^{15} + 12715989704 T^{16} + 33617901537 T^{17} + 122093670842 T^{18} + 301104814824 T^{19} + 1043192552655 T^{20} + 2213021600273 T^{21} + 7571584394682 T^{22} + 12249538254745 T^{23} + 43159874536064 T^{24} + 46791113980204 T^{25} + 175751989096376 T^{26} + 103568136431793 T^{27} + 379749833583241 T^{28} \))(\( 1 + 3 T + 56 T^{2} + 164 T^{3} + 1664 T^{4} + 5195 T^{5} + 35322 T^{6} + 113563 T^{7} + 588855 T^{8} + 1869624 T^{9} + 8339162 T^{10} + 25257627 T^{11} + 105090824 T^{12} + 298539964 T^{13} + 1203660840 T^{14} + 3283939604 T^{15} + 12715989704 T^{16} + 33617901537 T^{17} + 122093670842 T^{18} + 301104814824 T^{19} + 1043192552655 T^{20} + 2213021600273 T^{21} + 7571584394682 T^{22} + 12249538254745 T^{23} + 43159874536064 T^{24} + 46791113980204 T^{25} + 175751989096376 T^{26} + 103568136431793 T^{27} + 379749833583241 T^{28} \))(\( 1 - 5 T + 76 T^{2} - 272 T^{3} + 2324 T^{4} - 5905 T^{5} + 38186 T^{6} - 61069 T^{7} + 353283 T^{8} - 56808 T^{9} + 805238 T^{10} + 9768951 T^{11} - 32652216 T^{12} + 199091648 T^{13} - 572672536 T^{14} + 2190008128 T^{15} - 3950918136 T^{16} + 13002473781 T^{17} + 11789489558 T^{18} - 9148985208 T^{19} + 625862384763 T^{20} - 1190062045799 T^{21} + 8185508229866 T^{22} - 13923681115355 T^{23} + 60278574772724 T^{24} - 77604774406192 T^{25} + 238520556630796 T^{26} - 172613560719655 T^{27} + 379749833583241 T^{28} \))
$13$ (\( 1 + 7 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( 1 - 4 T + 25 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 27 T^{2} + 44 T^{3} + 351 T^{4} + 338 T^{5} + 2197 T^{6} \))(\( 1 + 5 T + 17 T^{2} + 33 T^{3} + 221 T^{4} + 845 T^{5} + 2197 T^{6} \))(\( 1 - 5 T + 52 T^{2} - 190 T^{3} + 1012 T^{4} - 2470 T^{5} + 8788 T^{6} - 10985 T^{7} + 28561 T^{8} \))(\( 1 - 3 T + 42 T^{2} - 94 T^{3} + 752 T^{4} - 1222 T^{5} + 7098 T^{6} - 6591 T^{7} + 28561 T^{8} \))(\( 1 - 17 T + 154 T^{2} - 914 T^{3} + 3874 T^{4} - 11882 T^{5} + 26026 T^{6} - 37349 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 59 T^{2} - 291 T^{3} + 1197 T^{4} - 3783 T^{5} + 9971 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 56 T^{2} - 266 T^{3} + 1351 T^{4} - 4944 T^{5} + 17563 T^{6} - 44954 T^{7} + 123032 T^{8} - 171366 T^{9} + 371293 T^{10} \))(\( 1 - 5 T + 44 T^{2} - 134 T^{3} + 749 T^{4} - 1789 T^{5} + 9737 T^{6} - 22646 T^{7} + 96668 T^{8} - 142805 T^{9} + 371293 T^{10} \))(\( 1 - 7 T + 50 T^{2} - 218 T^{3} + 1149 T^{4} - 4063 T^{5} + 14937 T^{6} - 36842 T^{7} + 109850 T^{8} - 199927 T^{9} + 371293 T^{10} \))(\( 1 + 9 T + 90 T^{2} + 552 T^{3} + 3242 T^{4} + 15387 T^{5} + 68244 T^{6} + 272378 T^{7} + 1016775 T^{8} + 3540914 T^{9} + 11533236 T^{10} + 33805239 T^{11} + 92594762 T^{12} + 204953736 T^{13} + 434412810 T^{14} + 564736653 T^{15} + 815730721 T^{16} \))(\( 1 + 8 T + 106 T^{2} + 647 T^{3} + 4834 T^{4} + 23288 T^{5} + 125401 T^{6} + 484541 T^{7} + 2035168 T^{8} + 6299033 T^{9} + 21192769 T^{10} + 51163736 T^{11} + 138063874 T^{12} + 240226571 T^{13} + 511641754 T^{14} + 501988136 T^{15} + 815730721 T^{16} \))(\( 1 + 5 T + 74 T^{2} + 262 T^{3} + 2314 T^{4} + 5941 T^{5} + 43418 T^{6} + 86890 T^{7} + 614789 T^{8} + 1129570 T^{9} + 7337642 T^{10} + 13052377 T^{11} + 66090154 T^{12} + 97278766 T^{13} + 357183866 T^{14} + 313742585 T^{15} + 815730721 T^{16} \))(\( 1 - 5 T + 74 T^{2} - 262 T^{3} + 2314 T^{4} - 5941 T^{5} + 43418 T^{6} - 86890 T^{7} + 614789 T^{8} - 1129570 T^{9} + 7337642 T^{10} - 13052377 T^{11} + 66090154 T^{12} - 97278766 T^{13} + 357183866 T^{14} - 313742585 T^{15} + 815730721 T^{16} \))(\( 1 - 9 T + 90 T^{2} - 552 T^{3} + 3242 T^{4} - 15387 T^{5} + 68244 T^{6} - 272378 T^{7} + 1016775 T^{8} - 3540914 T^{9} + 11533236 T^{10} - 33805239 T^{11} + 92594762 T^{12} - 204953736 T^{13} + 434412810 T^{14} - 564736653 T^{15} + 815730721 T^{16} \))(\( 1 + 2 T + 81 T^{2} + 92 T^{3} + 3013 T^{4} + 982 T^{5} + 70653 T^{6} - 33340 T^{7} + 1225551 T^{8} - 1478546 T^{9} + 17756861 T^{10} - 29894704 T^{11} + 236277458 T^{12} - 388631152 T^{13} + 3000909509 T^{14} - 3248365562 T^{15} + 35002962111 T^{16} - 12378908620 T^{17} + 341028536277 T^{18} + 61619043694 T^{19} + 2457796662373 T^{20} + 975613942316 T^{21} + 11166537839769 T^{22} + 3584320788074 T^{23} + 23298085122481 T^{24} \))(\( 1 - 2 T + 81 T^{2} - 92 T^{3} + 3013 T^{4} - 982 T^{5} + 70653 T^{6} + 33340 T^{7} + 1225551 T^{8} + 1478546 T^{9} + 17756861 T^{10} + 29894704 T^{11} + 236277458 T^{12} + 388631152 T^{13} + 3000909509 T^{14} + 3248365562 T^{15} + 35002962111 T^{16} + 12378908620 T^{17} + 341028536277 T^{18} - 61619043694 T^{19} + 2457796662373 T^{20} - 975613942316 T^{21} + 11166537839769 T^{22} - 3584320788074 T^{23} + 23298085122481 T^{24} \))(\( 1 + 11 T + 126 T^{2} + 870 T^{3} + 6084 T^{4} + 33289 T^{5} + 186025 T^{6} + 893691 T^{7} + 4340781 T^{8} + 18757848 T^{9} + 81627572 T^{10} + 323152792 T^{11} + 1299676347 T^{12} + 4804492671 T^{13} + 18074146521 T^{14} + 62458404723 T^{15} + 219645302643 T^{16} + 709966684024 T^{17} + 2331365083892 T^{18} + 6964657657464 T^{19} + 20952120797829 T^{20} + 56077784906247 T^{21} + 151746307374025 T^{22} + 353013179627797 T^{23} + 838731064409316 T^{24} + 1559179542812190 T^{25} + 2935558725432606 T^{26} + 3331626172514783 T^{27} + 3937376385699289 T^{28} \))(\( 1 + 15 T + 178 T^{2} + 1508 T^{3} + 11300 T^{4} + 71799 T^{5} + 420911 T^{6} + 2223123 T^{7} + 11090475 T^{8} + 51372270 T^{9} + 227840558 T^{10} + 952960696 T^{11} + 3841197605 T^{12} + 14702213917 T^{13} + 54350435451 T^{14} + 191128780921 T^{15} + 649162395245 T^{16} + 2093654649112 T^{17} + 6507354177038 T^{18} + 19074164245110 T^{19} + 53531604544275 T^{20} + 139497671358591 T^{21} + 343350033506831 T^{22} + 761392450482027 T^{23} + 1557800957893700 T^{24} + 2702577874207796 T^{25} + 4147059151801618 T^{26} + 4543126598883795 T^{27} + 3937376385699289 T^{28} \))(\( 1 - 15 T + 178 T^{2} - 1508 T^{3} + 11300 T^{4} - 71799 T^{5} + 420911 T^{6} - 2223123 T^{7} + 11090475 T^{8} - 51372270 T^{9} + 227840558 T^{10} - 952960696 T^{11} + 3841197605 T^{12} - 14702213917 T^{13} + 54350435451 T^{14} - 191128780921 T^{15} + 649162395245 T^{16} - 2093654649112 T^{17} + 6507354177038 T^{18} - 19074164245110 T^{19} + 53531604544275 T^{20} - 139497671358591 T^{21} + 343350033506831 T^{22} - 761392450482027 T^{23} + 1557800957893700 T^{24} - 2702577874207796 T^{25} + 4147059151801618 T^{26} - 4543126598883795 T^{27} + 3937376385699289 T^{28} \))(\( 1 - 11 T + 126 T^{2} - 870 T^{3} + 6084 T^{4} - 33289 T^{5} + 186025 T^{6} - 893691 T^{7} + 4340781 T^{8} - 18757848 T^{9} + 81627572 T^{10} - 323152792 T^{11} + 1299676347 T^{12} - 4804492671 T^{13} + 18074146521 T^{14} - 62458404723 T^{15} + 219645302643 T^{16} - 709966684024 T^{17} + 2331365083892 T^{18} - 6964657657464 T^{19} + 20952120797829 T^{20} - 56077784906247 T^{21} + 151746307374025 T^{22} - 353013179627797 T^{23} + 838731064409316 T^{24} - 1559179542812190 T^{25} + 2935558725432606 T^{26} - 3331626172514783 T^{27} + 3937376385699289 T^{28} \))
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 30 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 + 4 T + 53 T^{2} + 134 T^{3} + 901 T^{4} + 1156 T^{5} + 4913 T^{6} \))(\( 1 + 5 T + 43 T^{2} + 129 T^{3} + 731 T^{4} + 1445 T^{5} + 4913 T^{6} \))(\( 1 + 5 T + 56 T^{2} + 216 T^{3} + 1304 T^{4} + 3672 T^{5} + 16184 T^{6} + 24565 T^{7} + 83521 T^{8} \))(\( 1 + 13 T + 126 T^{2} + 764 T^{3} + 3760 T^{4} + 12988 T^{5} + 36414 T^{6} + 63869 T^{7} + 83521 T^{8} \))(\( 1 - 9 T + 62 T^{2} - 294 T^{3} + 1380 T^{4} - 4998 T^{5} + 17918 T^{6} - 44217 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 51 T^{2} - 293 T^{3} + 1187 T^{4} - 4981 T^{5} + 14739 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 - 12 T + 91 T^{2} - 430 T^{3} + 1692 T^{4} - 6148 T^{5} + 28764 T^{6} - 124270 T^{7} + 447083 T^{8} - 1002252 T^{9} + 1419857 T^{10} \))(\( 1 - 7 T + 47 T^{2} - 133 T^{3} + 566 T^{4} - 1192 T^{5} + 9622 T^{6} - 38437 T^{7} + 230911 T^{8} - 584647 T^{9} + 1419857 T^{10} \))(\( 1 + T + 25 T^{2} + 83 T^{3} + 704 T^{4} + 800 T^{5} + 11968 T^{6} + 23987 T^{7} + 122825 T^{8} + 83521 T^{9} + 1419857 T^{10} \))(\( 1 - T + 103 T^{2} - 159 T^{3} + 4808 T^{4} - 9344 T^{5} + 137670 T^{6} - 281203 T^{7} + 2746785 T^{8} - 4780451 T^{9} + 39786630 T^{10} - 45907072 T^{11} + 401568968 T^{12} - 225757263 T^{13} + 2486169607 T^{14} - 410338673 T^{15} + 6975757441 T^{16} \))(\( 1 + 4 T + 51 T^{2} + 209 T^{3} + 1445 T^{4} + 3607 T^{5} + 25137 T^{6} + 43060 T^{7} + 346508 T^{8} + 732020 T^{9} + 7264593 T^{10} + 17721191 T^{11} + 120687845 T^{12} + 296750113 T^{13} + 1231016019 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 + 5 T + 93 T^{2} + 477 T^{3} + 4414 T^{4} + 20794 T^{5} + 133012 T^{6} + 544109 T^{7} + 2721975 T^{8} + 9249853 T^{9} + 38440468 T^{10} + 102160922 T^{11} + 368661694 T^{12} + 677271789 T^{13} + 2244793917 T^{14} + 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 - 5 T + 93 T^{2} - 477 T^{3} + 4414 T^{4} - 20794 T^{5} + 133012 T^{6} - 544109 T^{7} + 2721975 T^{8} - 9249853 T^{9} + 38440468 T^{10} - 102160922 T^{11} + 368661694 T^{12} - 677271789 T^{13} + 2244793917 T^{14} - 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 + T + 103 T^{2} + 159 T^{3} + 4808 T^{4} + 9344 T^{5} + 137670 T^{6} + 281203 T^{7} + 2746785 T^{8} + 4780451 T^{9} + 39786630 T^{10} + 45907072 T^{11} + 401568968 T^{12} + 225757263 T^{13} + 2486169607 T^{14} + 410338673 T^{15} + 6975757441 T^{16} \))(\( 1 - 8 T + 143 T^{2} - 1074 T^{3} + 10390 T^{4} - 69858 T^{5} + 494790 T^{6} - 2909608 T^{7} + 16897571 T^{8} - 86342196 T^{9} + 431097207 T^{10} - 1919135912 T^{11} + 8374637380 T^{12} - 32625310504 T^{13} + 124587092823 T^{14} - 424199208948 T^{15} + 1411302027491 T^{16} - 4131227286056 T^{17} + 11943027765510 T^{18} - 28665439018434 T^{19} + 72478119811990 T^{20} - 127363379357778 T^{21} + 288287127764207 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 143 T^{2} + 1074 T^{3} + 10390 T^{4} + 69858 T^{5} + 494790 T^{6} + 2909608 T^{7} + 16897571 T^{8} + 86342196 T^{9} + 431097207 T^{10} + 1919135912 T^{11} + 8374637380 T^{12} + 32625310504 T^{13} + 124587092823 T^{14} + 424199208948 T^{15} + 1411302027491 T^{16} + 4131227286056 T^{17} + 11943027765510 T^{18} + 28665439018434 T^{19} + 72478119811990 T^{20} + 127363379357778 T^{21} + 288287127764207 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 + 3 T + 111 T^{2} + 267 T^{3} + 6459 T^{4} + 12043 T^{5} + 256809 T^{6} + 359254 T^{7} + 7809940 T^{8} + 7858562 T^{9} + 193283627 T^{10} + 137606996 T^{11} + 4049124032 T^{12} + 2194603371 T^{13} + 73593772698 T^{14} + 37308257307 T^{15} + 1170196845248 T^{16} + 676063171348 T^{17} + 16143241810667 T^{18} + 11158034265634 T^{19} + 188512965635860 T^{20} + 147415809629942 T^{21} + 1791437292665769 T^{22} + 1428153796653371 T^{23} + 13021304603000091 T^{24} + 9150596314138011 T^{25} + 64671068332503471 T^{26} + 29713734098717811 T^{27} + 168377826559400929 T^{28} \))(\( 1 + 9 T + 149 T^{2} + 763 T^{3} + 7421 T^{4} + 17067 T^{5} + 157573 T^{6} - 283194 T^{7} + 1387336 T^{8} - 20072042 T^{9} + 28252889 T^{10} - 362444022 T^{11} + 1671275370 T^{12} - 2938264453 T^{13} + 42508089594 T^{14} - 49950495701 T^{15} + 482998581930 T^{16} - 1780687480086 T^{17} + 2359709542169 T^{18} - 28499429337994 T^{19} + 33486918426184 T^{20} - 116205450161562 T^{21} + 1099191027250693 T^{22} + 2023939288174299 T^{23} + 14960690735232029 T^{24} + 26149456882723979 T^{25} + 86810713347234389 T^{26} + 89141202296153433 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 9 T + 149 T^{2} - 763 T^{3} + 7421 T^{4} - 17067 T^{5} + 157573 T^{6} + 283194 T^{7} + 1387336 T^{8} + 20072042 T^{9} + 28252889 T^{10} + 362444022 T^{11} + 1671275370 T^{12} + 2938264453 T^{13} + 42508089594 T^{14} + 49950495701 T^{15} + 482998581930 T^{16} + 1780687480086 T^{17} + 2359709542169 T^{18} + 28499429337994 T^{19} + 33486918426184 T^{20} + 116205450161562 T^{21} + 1099191027250693 T^{22} - 2023939288174299 T^{23} + 14960690735232029 T^{24} - 26149456882723979 T^{25} + 86810713347234389 T^{26} - 89141202296153433 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 3 T + 111 T^{2} - 267 T^{3} + 6459 T^{4} - 12043 T^{5} + 256809 T^{6} - 359254 T^{7} + 7809940 T^{8} - 7858562 T^{9} + 193283627 T^{10} - 137606996 T^{11} + 4049124032 T^{12} - 2194603371 T^{13} + 73593772698 T^{14} - 37308257307 T^{15} + 1170196845248 T^{16} - 676063171348 T^{17} + 16143241810667 T^{18} - 11158034265634 T^{19} + 188512965635860 T^{20} - 147415809629942 T^{21} + 1791437292665769 T^{22} - 1428153796653371 T^{23} + 13021304603000091 T^{24} - 9150596314138011 T^{25} + 64671068332503471 T^{26} - 29713734098717811 T^{27} + 168377826559400929 T^{28} \))
$19$ (\( 1 + 8 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 8 T + 34 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 + 10 T + 58 T^{2} + 190 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 144 T^{3} + 779 T^{4} - 2888 T^{5} + 6859 T^{6} \))(\( 1 + 6 T + 62 T^{2} + 215 T^{3} + 1178 T^{4} + 2166 T^{5} + 6859 T^{6} \))(\( 1 - 8 T + 73 T^{2} - 331 T^{3} + 1840 T^{4} - 6289 T^{5} + 26353 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 79 T^{2} - 375 T^{3} + 2172 T^{4} - 7125 T^{5} + 28519 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 67 T^{2} - 181 T^{3} + 1792 T^{4} - 3439 T^{5} + 24187 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 2 T + 19 T^{2} - 83 T^{3} + 4 T^{4} - 1577 T^{5} + 6859 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 - 6 T + 67 T^{2} - 360 T^{3} + 2334 T^{4} - 9220 T^{5} + 44346 T^{6} - 129960 T^{7} + 459553 T^{8} - 781926 T^{9} + 2476099 T^{10} \))(\( 1 + 10 T + 116 T^{2} + 713 T^{3} + 4699 T^{4} + 19998 T^{5} + 89281 T^{6} + 257393 T^{7} + 795644 T^{8} + 1303210 T^{9} + 2476099 T^{10} \))(\( 1 - 2 T + 50 T^{2} + T^{3} + 1137 T^{4} + 1030 T^{5} + 21603 T^{6} + 361 T^{7} + 342950 T^{8} - 260642 T^{9} + 2476099 T^{10} \))(\( 1 + 4 T + 91 T^{2} + 340 T^{3} + 3601 T^{4} + 13255 T^{5} + 87650 T^{6} + 332944 T^{7} + 1718231 T^{8} + 6325936 T^{9} + 31641650 T^{10} + 90916045 T^{11} + 469285921 T^{12} + 841873660 T^{13} + 4281175171 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} \))(\( 1 + 89 T^{2} - 25 T^{3} + 3758 T^{4} - 2787 T^{5} + 103839 T^{6} - 112070 T^{7} + 2193378 T^{8} - 2129330 T^{9} + 37485879 T^{10} - 19116033 T^{11} + 489746318 T^{12} - 61902475 T^{13} + 4187083409 T^{14} + 16983563041 T^{16} \))(\( 1 + 2 T + 123 T^{2} + 222 T^{3} + 7083 T^{4} + 11277 T^{5} + 247444 T^{6} + 337556 T^{7} + 5716293 T^{8} + 6413564 T^{9} + 89327284 T^{10} + 77348943 T^{11} + 923063643 T^{12} + 549693978 T^{13} + 5786643363 T^{14} + 1787743478 T^{15} + 16983563041 T^{16} \))(\( 1 + 2 T + 123 T^{2} + 222 T^{3} + 7083 T^{4} + 11277 T^{5} + 247444 T^{6} + 337556 T^{7} + 5716293 T^{8} + 6413564 T^{9} + 89327284 T^{10} + 77348943 T^{11} + 923063643 T^{12} + 549693978 T^{13} + 5786643363 T^{14} + 1787743478 T^{15} + 16983563041 T^{16} \))(\( 1 + 4 T + 91 T^{2} + 340 T^{3} + 3601 T^{4} + 13255 T^{5} + 87650 T^{6} + 332944 T^{7} + 1718231 T^{8} + 6325936 T^{9} + 31641650 T^{10} + 90916045 T^{11} + 469285921 T^{12} + 841873660 T^{13} + 4281175171 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} \))(\( 1 + 26 T + 426 T^{2} + 5010 T^{3} + 47727 T^{4} + 380838 T^{5} + 2657599 T^{6} + 16489928 T^{7} + 93329855 T^{8} + 487385074 T^{9} + 2393508283 T^{10} + 11130888560 T^{11} + 49603973866 T^{12} + 211486882640 T^{13} + 864056490163 T^{14} + 3342974222566 T^{15} + 12162840033455 T^{16} + 40830694230872 T^{17} + 125029086299719 T^{18} + 340420325337282 T^{19} + 810574513257807 T^{20} + 1616665365872790 T^{21} + 2611834225823226 T^{22} + 3028746731353694 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 26 T + 426 T^{2} + 5010 T^{3} + 47727 T^{4} + 380838 T^{5} + 2657599 T^{6} + 16489928 T^{7} + 93329855 T^{8} + 487385074 T^{9} + 2393508283 T^{10} + 11130888560 T^{11} + 49603973866 T^{12} + 211486882640 T^{13} + 864056490163 T^{14} + 3342974222566 T^{15} + 12162840033455 T^{16} + 40830694230872 T^{17} + 125029086299719 T^{18} + 340420325337282 T^{19} + 810574513257807 T^{20} + 1616665365872790 T^{21} + 2611834225823226 T^{22} + 3028746731353694 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 2 T + 117 T^{2} + 164 T^{3} + 7048 T^{4} + 6613 T^{5} + 294219 T^{6} + 176952 T^{7} + 9630855 T^{8} + 3751931 T^{9} + 262568065 T^{10} + 70881973 T^{11} + 6136370112 T^{12} + 1299950195 T^{13} + 124727554846 T^{14} + 24699053705 T^{15} + 2215229610432 T^{16} + 486179452807 T^{17} + 34218132798865 T^{18} + 9290152597169 T^{19} + 453092058258255 T^{20} + 158172391959528 T^{21} + 4996886934359979 T^{22} + 2133933745412527 T^{23} + 43211754984981448 T^{24} + 19104402459307916 T^{25} + 258957845530740837 T^{26} + 84105966924514118 T^{27} + 799006685782884121 T^{28} \))(\( 1 + 4 T + 81 T^{2} + 310 T^{3} + 3782 T^{4} + 16961 T^{5} + 130657 T^{6} + 622874 T^{7} + 3702559 T^{8} + 17984199 T^{9} + 95378049 T^{10} + 417374617 T^{11} + 2176491978 T^{12} + 8565924945 T^{13} + 44678910394 T^{14} + 162752573955 T^{15} + 785713604058 T^{16} + 2862772498003 T^{17} + 12429762723729 T^{18} + 44530657159701 T^{19} + 174190150109479 T^{20} + 556769465557886 T^{21} + 2219021396247937 T^{22} + 5473106042029619 T^{23} + 23187692587003382 T^{24} + 36111980258447890 T^{25} + 179278508444359041 T^{26} + 168211933849028236 T^{27} + 799006685782884121 T^{28} \))(\( 1 + 4 T + 81 T^{2} + 310 T^{3} + 3782 T^{4} + 16961 T^{5} + 130657 T^{6} + 622874 T^{7} + 3702559 T^{8} + 17984199 T^{9} + 95378049 T^{10} + 417374617 T^{11} + 2176491978 T^{12} + 8565924945 T^{13} + 44678910394 T^{14} + 162752573955 T^{15} + 785713604058 T^{16} + 2862772498003 T^{17} + 12429762723729 T^{18} + 44530657159701 T^{19} + 174190150109479 T^{20} + 556769465557886 T^{21} + 2219021396247937 T^{22} + 5473106042029619 T^{23} + 23187692587003382 T^{24} + 36111980258447890 T^{25} + 179278508444359041 T^{26} + 168211933849028236 T^{27} + 799006685782884121 T^{28} \))(\( 1 + 2 T + 117 T^{2} + 164 T^{3} + 7048 T^{4} + 6613 T^{5} + 294219 T^{6} + 176952 T^{7} + 9630855 T^{8} + 3751931 T^{9} + 262568065 T^{10} + 70881973 T^{11} + 6136370112 T^{12} + 1299950195 T^{13} + 124727554846 T^{14} + 24699053705 T^{15} + 2215229610432 T^{16} + 486179452807 T^{17} + 34218132798865 T^{18} + 9290152597169 T^{19} + 453092058258255 T^{20} + 158172391959528 T^{21} + 4996886934359979 T^{22} + 2133933745412527 T^{23} + 43211754984981448 T^{24} + 19104402459307916 T^{25} + 258957845530740837 T^{26} + 84105966924514118 T^{27} + 799006685782884121 T^{28} \))
$23$ (\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))
$29$ (\( 1 + 5 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 6 T + 47 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 47 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 2 T + 79 T^{2} + 120 T^{3} + 2291 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 12 T + 107 T^{2} + 592 T^{3} + 3103 T^{4} + 10092 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 80 T^{2} + 222 T^{3} + 2942 T^{4} + 6438 T^{5} + 67280 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 + 2 T + 64 T^{2} + 302 T^{3} + 1982 T^{4} + 8758 T^{5} + 53824 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 - 10 T + 128 T^{2} - 790 T^{3} + 5662 T^{4} - 22910 T^{5} + 107648 T^{6} - 243890 T^{7} + 707281 T^{8} \))(\( 1 + T + 108 T^{2} + 83 T^{3} + 4590 T^{4} + 2407 T^{5} + 90828 T^{6} + 24389 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 34 T^{2} + 214 T^{3} + 1217 T^{4} + 4232 T^{5} + 35293 T^{6} + 179974 T^{7} + 829226 T^{8} + 2829124 T^{9} + 20511149 T^{10} \))(\( 1 + 14 T + 162 T^{2} + 1292 T^{3} + 9157 T^{4} + 50996 T^{5} + 265553 T^{6} + 1086572 T^{7} + 3951018 T^{8} + 9901934 T^{9} + 20511149 T^{10} \))(\( 1 + 14 T + 106 T^{2} + 324 T^{3} - 723 T^{4} - 12204 T^{5} - 20967 T^{6} + 272484 T^{7} + 2585234 T^{8} + 9901934 T^{9} + 20511149 T^{10} \))(\( 1 + 5 T + 93 T^{2} + 333 T^{3} + 5333 T^{4} + 16991 T^{5} + 225916 T^{6} + 634890 T^{7} + 7414465 T^{8} + 18411810 T^{9} + 189995356 T^{10} + 414393499 T^{11} + 3771929573 T^{12} + 6830212617 T^{13} + 55318568853 T^{14} + 86249381545 T^{15} + 500246412961 T^{16} \))(\( 1 + 3 T + 131 T^{2} + 494 T^{3} + 8858 T^{4} + 36316 T^{5} + 400317 T^{6} + 1617223 T^{7} + 13313754 T^{8} + 46899467 T^{9} + 336666597 T^{10} + 885710924 T^{11} + 6265095098 T^{12} + 10132507606 T^{13} + 77921855051 T^{14} + 51749628927 T^{15} + 500246412961 T^{16} \))(\( 1 + 9 T + 177 T^{2} + 1073 T^{3} + 12317 T^{4} + 54195 T^{5} + 500732 T^{6} + 1763562 T^{7} + 15551717 T^{8} + 51143298 T^{9} + 421115612 T^{10} + 1321761855 T^{11} + 8711580077 T^{12} + 22008462877 T^{13} + 105283727817 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 + 9 T + 177 T^{2} + 1073 T^{3} + 12317 T^{4} + 54195 T^{5} + 500732 T^{6} + 1763562 T^{7} + 15551717 T^{8} + 51143298 T^{9} + 421115612 T^{10} + 1321761855 T^{11} + 8711580077 T^{12} + 22008462877 T^{13} + 105283727817 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 + 5 T + 93 T^{2} + 333 T^{3} + 5333 T^{4} + 16991 T^{5} + 225916 T^{6} + 634890 T^{7} + 7414465 T^{8} + 18411810 T^{9} + 189995356 T^{10} + 414393499 T^{11} + 3771929573 T^{12} + 6830212617 T^{13} + 55318568853 T^{14} + 86249381545 T^{15} + 500246412961 T^{16} \))(\( 1 + 12 T + 258 T^{2} + 2552 T^{3} + 31367 T^{4} + 262496 T^{5} + 2401642 T^{6} + 17323380 T^{7} + 130559371 T^{8} + 825033200 T^{9} + 5385163876 T^{10} + 30202298184 T^{11} + 174902665114 T^{12} + 875866647336 T^{13} + 4528922819716 T^{14} + 20121734714800 T^{15} + 92342162480251 T^{16} + 355322428363620 T^{17} + 1428552670293082 T^{18} + 4528023531607264 T^{19} + 15691229235347687 T^{20} + 37022236530417688 T^{21} + 108542466191451858 T^{22} + 146406117188469948 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 12 T + 258 T^{2} + 2552 T^{3} + 31367 T^{4} + 262496 T^{5} + 2401642 T^{6} + 17323380 T^{7} + 130559371 T^{8} + 825033200 T^{9} + 5385163876 T^{10} + 30202298184 T^{11} + 174902665114 T^{12} + 875866647336 T^{13} + 4528922819716 T^{14} + 20121734714800 T^{15} + 92342162480251 T^{16} + 355322428363620 T^{17} + 1428552670293082 T^{18} + 4528023531607264 T^{19} + 15691229235347687 T^{20} + 37022236530417688 T^{21} + 108542466191451858 T^{22} + 146406117188469948 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 7 T + 157 T^{2} - 1077 T^{3} + 13907 T^{4} - 90207 T^{5} + 890241 T^{6} - 5279677 T^{7} + 44297446 T^{8} - 240998825 T^{9} + 1812178993 T^{10} - 9157766584 T^{11} + 63364064656 T^{12} - 300806471186 T^{13} + 1947499885897 T^{14} - 8723387664394 T^{15} + 53289178375696 T^{16} - 223348769217176 T^{17} + 1281719770348033 T^{18} - 4943162808399925 T^{19} + 26349153941538166 T^{20} - 91073775201472193 T^{21} + 445339866920813601 T^{22} - 1308646117045214883 T^{23} + 5850775493505895307 T^{24} - 13139949017665177833 T^{25} + 55548920963258639437 T^{26} - 71824400990710215323 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 11 T + 297 T^{2} - 2577 T^{3} + 39915 T^{4} - 292931 T^{5} + 3378729 T^{6} - 21913721 T^{7} + 207489014 T^{8} - 1219318621 T^{9} + 9932410601 T^{10} - 53425297096 T^{11} + 384489909416 T^{12} - 1893616655986 T^{13} + 12254160692157 T^{14} - 54914883023594 T^{15} + 323356013818856 T^{16} - 1302989570874344 T^{17} + 7025005302285881 T^{18} - 25009625913805529 T^{19} + 123419304378495494 T^{20} - 378008976719935789 T^{21} + 1690197062617306569 T^{22} - 4249592777857282039 T^{23} + 16792529217177522915 T^{24} - 31440713666223921333 T^{25} + \)\(10\!\cdots\!77\)\( T^{26} - \)\(11\!\cdots\!79\)\( T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 11 T + 297 T^{2} - 2577 T^{3} + 39915 T^{4} - 292931 T^{5} + 3378729 T^{6} - 21913721 T^{7} + 207489014 T^{8} - 1219318621 T^{9} + 9932410601 T^{10} - 53425297096 T^{11} + 384489909416 T^{12} - 1893616655986 T^{13} + 12254160692157 T^{14} - 54914883023594 T^{15} + 323356013818856 T^{16} - 1302989570874344 T^{17} + 7025005302285881 T^{18} - 25009625913805529 T^{19} + 123419304378495494 T^{20} - 378008976719935789 T^{21} + 1690197062617306569 T^{22} - 4249592777857282039 T^{23} + 16792529217177522915 T^{24} - 31440713666223921333 T^{25} + \)\(10\!\cdots\!77\)\( T^{26} - \)\(11\!\cdots\!79\)\( T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 7 T + 157 T^{2} - 1077 T^{3} + 13907 T^{4} - 90207 T^{5} + 890241 T^{6} - 5279677 T^{7} + 44297446 T^{8} - 240998825 T^{9} + 1812178993 T^{10} - 9157766584 T^{11} + 63364064656 T^{12} - 300806471186 T^{13} + 1947499885897 T^{14} - 8723387664394 T^{15} + 53289178375696 T^{16} - 223348769217176 T^{17} + 1281719770348033 T^{18} - 4943162808399925 T^{19} + 26349153941538166 T^{20} - 91073775201472193 T^{21} + 445339866920813601 T^{22} - 1308646117045214883 T^{23} + 5850775493505895307 T^{24} - 13139949017665177833 T^{25} + 55548920963258639437 T^{26} - 71824400990710215323 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))
$31$ (\( 1 + 2 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 2 T + 43 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 + 9 T + 31 T^{2} )^{2} \))(\( 1 - 16 T + 119 T^{2} - 654 T^{3} + 3689 T^{4} - 15376 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 96 T^{2} + 247 T^{3} + 2976 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 75 T^{2} + 117 T^{3} + 2696 T^{4} + 3627 T^{5} + 72075 T^{6} + 923521 T^{8} \))(\( 1 - 8 T + 127 T^{2} - 721 T^{3} + 5960 T^{4} - 22351 T^{5} + 122047 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 + 2 T + 61 T^{2} + 347 T^{3} + 1834 T^{4} + 10757 T^{5} + 58621 T^{6} + 59582 T^{7} + 923521 T^{8} \))(\( 1 + 2 T + 43 T^{2} + 9 T^{3} + 878 T^{4} + 279 T^{5} + 41323 T^{6} + 59582 T^{7} + 923521 T^{8} \))(\( 1 - 30 T + 502 T^{2} - 5646 T^{3} + 46995 T^{4} - 297598 T^{5} + 1456845 T^{6} - 5425806 T^{7} + 14955082 T^{8} - 27705630 T^{9} + 28629151 T^{10} \))(\( 1 + 10 T + 169 T^{2} + 1209 T^{3} + 10855 T^{4} + 55721 T^{5} + 336505 T^{6} + 1161849 T^{7} + 5034679 T^{8} + 9235210 T^{9} + 28629151 T^{10} \))(\( 1 + 6 T + 85 T^{2} + 479 T^{3} + 3931 T^{4} + 20655 T^{5} + 121861 T^{6} + 460319 T^{7} + 2532235 T^{8} + 5541126 T^{9} + 28629151 T^{10} \))(\( 1 + T + 100 T^{2} - 148 T^{3} + 4385 T^{4} - 19004 T^{5} + 119190 T^{6} - 1048099 T^{7} + 2877455 T^{8} - 32491069 T^{9} + 114541590 T^{10} - 566148164 T^{11} + 4049639585 T^{12} - 4237114348 T^{13} + 88750368100 T^{14} + 27512614111 T^{15} + 852891037441 T^{16} \))(\( 1 + 16 T + 282 T^{2} + 2915 T^{3} + 31017 T^{4} + 243008 T^{5} + 1914656 T^{6} + 11903421 T^{7} + 73922784 T^{8} + 369006051 T^{9} + 1839984416 T^{10} + 7239451328 T^{11} + 28644850857 T^{12} + 83453975165 T^{13} + 250276038042 T^{14} + 440201825776 T^{15} + 852891037441 T^{16} \))(\( 1 + 3 T + 202 T^{2} + 494 T^{3} + 18723 T^{4} + 37846 T^{5} + 1052980 T^{6} + 1772343 T^{7} + 39487773 T^{8} + 54942633 T^{9} + 1011913780 T^{10} + 1127470186 T^{11} + 17291083683 T^{12} + 14142800594 T^{13} + 179275743562 T^{14} + 82537842333 T^{15} + 852891037441 T^{16} \))(\( 1 + 3 T + 202 T^{2} + 494 T^{3} + 18723 T^{4} + 37846 T^{5} + 1052980 T^{6} + 1772343 T^{7} + 39487773 T^{8} + 54942633 T^{9} + 1011913780 T^{10} + 1127470186 T^{11} + 17291083683 T^{12} + 14142800594 T^{13} + 179275743562 T^{14} + 82537842333 T^{15} + 852891037441 T^{16} \))(\( 1 + T + 100 T^{2} - 148 T^{3} + 4385 T^{4} - 19004 T^{5} + 119190 T^{6} - 1048099 T^{7} + 2877455 T^{8} - 32491069 T^{9} + 114541590 T^{10} - 566148164 T^{11} + 4049639585 T^{12} - 4237114348 T^{13} + 88750368100 T^{14} + 27512614111 T^{15} + 852891037441 T^{16} \))(\( 1 + 50 T + 1356 T^{2} + 25672 T^{3} + 377722 T^{4} + 4578452 T^{5} + 47514831 T^{6} + 433678672 T^{7} + 3549751230 T^{8} + 26406623386 T^{9} + 180056634294 T^{10} + 1130557827586 T^{11} + 6550831526410 T^{12} + 35047292655166 T^{13} + 173034425556534 T^{14} + 786679717292326 T^{15} + 3278269805680830 T^{16} + 12415852186167472 T^{17} + 42169587414592911 T^{18} + 125965183101736172 T^{19} + 322155708444289402 T^{20} + 678757980108745912 T^{21} + 1111415957145966156 T^{22} + 1270423844820241550 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 50 T + 1356 T^{2} + 25672 T^{3} + 377722 T^{4} + 4578452 T^{5} + 47514831 T^{6} + 433678672 T^{7} + 3549751230 T^{8} + 26406623386 T^{9} + 180056634294 T^{10} + 1130557827586 T^{11} + 6550831526410 T^{12} + 35047292655166 T^{13} + 173034425556534 T^{14} + 786679717292326 T^{15} + 3278269805680830 T^{16} + 12415852186167472 T^{17} + 42169587414592911 T^{18} + 125965183101736172 T^{19} + 322155708444289402 T^{20} + 678757980108745912 T^{21} + 1111415957145966156 T^{22} + 1270423844820241550 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 3 T + 188 T^{2} + 550 T^{3} + 15965 T^{4} + 43204 T^{5} + 779963 T^{6} + 1855224 T^{7} + 21382677 T^{8} + 42888527 T^{9} + 114325175 T^{10} + 171574022 T^{11} - 17281079762 T^{12} - 23731916416 T^{13} - 822309308409 T^{14} - 735689408896 T^{15} - 16607117651282 T^{16} + 5111361689402 T^{17} + 105581699941175 T^{18} + 1227862115650577 T^{19} + 18977204547134037 T^{20} + 51042062001465864 T^{21} + 665223452235594683 T^{22} + 1142297435829629884 T^{23} + 13085365601648487965 T^{24} + 13974662293022657050 T^{25} + \)\(14\!\cdots\!68\)\( T^{26} + 73252638892335127773 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 + T + 118 T^{2} + 268 T^{3} + 8515 T^{4} + 15570 T^{5} + 479405 T^{6} + 624508 T^{7} + 21239885 T^{8} + 22150327 T^{9} + 849436783 T^{10} + 614045046 T^{11} + 30877887782 T^{12} + 21447171678 T^{13} + 994916163825 T^{14} + 664862322018 T^{15} + 29673650158502 T^{16} + 18293015965386 T^{17} + 784472707272943 T^{18} + 634145056382377 T^{19} + 18850476121516685 T^{20} + 17181847613232388 T^{21} + 408880227804402605 T^{22} + 411664917041647470 T^{23} + 6979134863641520515 T^{24} + 6809471808236494708 T^{25} + 92944208487048871798 T^{26} + 24417546297445042591 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 + T + 118 T^{2} + 268 T^{3} + 8515 T^{4} + 15570 T^{5} + 479405 T^{6} + 624508 T^{7} + 21239885 T^{8} + 22150327 T^{9} + 849436783 T^{10} + 614045046 T^{11} + 30877887782 T^{12} + 21447171678 T^{13} + 994916163825 T^{14} + 664862322018 T^{15} + 29673650158502 T^{16} + 18293015965386 T^{17} + 784472707272943 T^{18} + 634145056382377 T^{19} + 18850476121516685 T^{20} + 17181847613232388 T^{21} + 408880227804402605 T^{22} + 411664917041647470 T^{23} + 6979134863641520515 T^{24} + 6809471808236494708 T^{25} + 92944208487048871798 T^{26} + 24417546297445042591 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 + 3 T + 188 T^{2} + 550 T^{3} + 15965 T^{4} + 43204 T^{5} + 779963 T^{6} + 1855224 T^{7} + 21382677 T^{8} + 42888527 T^{9} + 114325175 T^{10} + 171574022 T^{11} - 17281079762 T^{12} - 23731916416 T^{13} - 822309308409 T^{14} - 735689408896 T^{15} - 16607117651282 T^{16} + 5111361689402 T^{17} + 105581699941175 T^{18} + 1227862115650577 T^{19} + 18977204547134037 T^{20} + 51042062001465864 T^{21} + 665223452235594683 T^{22} + 1142297435829629884 T^{23} + 13085365601648487965 T^{24} + 13974662293022657050 T^{25} + \)\(14\!\cdots\!68\)\( T^{26} + 73252638892335127773 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))
$37$ (\( 1 - 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 10 T + 94 T^{2} - 370 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 30 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 107 T^{2} - 404 T^{3} + 3959 T^{4} - 8214 T^{5} + 50653 T^{6} \))(\( 1 + 3 T + 93 T^{2} + 195 T^{3} + 3441 T^{4} + 4107 T^{5} + 50653 T^{6} \))(\( 1 + 13 T + 178 T^{2} + 1292 T^{3} + 9928 T^{4} + 47804 T^{5} + 243682 T^{6} + 658489 T^{7} + 1874161 T^{8} \))(\( 1 - 5 T + 76 T^{2} - 504 T^{3} + 3412 T^{4} - 18648 T^{5} + 104044 T^{6} - 253265 T^{7} + 1874161 T^{8} \))(\( 1 + 5 T + 124 T^{2} + 386 T^{3} + 6202 T^{4} + 14282 T^{5} + 169756 T^{6} + 253265 T^{7} + 1874161 T^{8} \))(\( 1 - 7 T + 140 T^{2} - 718 T^{3} + 7578 T^{4} - 26566 T^{5} + 191660 T^{6} - 354571 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 109 T^{2} + 216 T^{3} + 5126 T^{4} + 5064 T^{5} + 189662 T^{6} + 295704 T^{7} + 5521177 T^{8} + 7496644 T^{9} + 69343957 T^{10} \))(\( 1 - 3 T + 127 T^{2} - 247 T^{3} + 7314 T^{4} - 10492 T^{5} + 270618 T^{6} - 338143 T^{7} + 6432931 T^{8} - 5622483 T^{9} + 69343957 T^{10} \))(\( 1 - T + 17 T^{2} + 11 T^{3} + 376 T^{4} - 10076 T^{5} + 13912 T^{6} + 15059 T^{7} + 861101 T^{8} - 1874161 T^{9} + 69343957 T^{10} \))(\( 1 + 18 T + 376 T^{2} + 4505 T^{3} + 54939 T^{4} + 489840 T^{5} + 4312804 T^{6} + 29910143 T^{7} + 203070623 T^{8} + 1106675291 T^{9} + 5904228676 T^{10} + 24811865520 T^{11} + 102964531179 T^{12} + 312394526285 T^{13} + 964713129784 T^{14} + 1708773788394 T^{15} + 3512479453921 T^{16} \))(\( 1 - 7 T + 108 T^{2} - 228 T^{3} + 3794 T^{4} + 11242 T^{5} + 99020 T^{6} + 722845 T^{7} + 4372490 T^{8} + 26745265 T^{9} + 135558380 T^{10} + 569441026 T^{11} + 7110566834 T^{12} - 15810422196 T^{13} + 277098452172 T^{14} - 664523139931 T^{15} + 3512479453921 T^{16} \))(\( 1 + 6 T + 128 T^{2} + 483 T^{3} + 6815 T^{4} + 18492 T^{5} + 279952 T^{6} + 724717 T^{7} + 11064919 T^{8} + 26814529 T^{9} + 383254288 T^{10} + 936675276 T^{11} + 12772407215 T^{12} + 33493131231 T^{13} + 328412980352 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} \))(\( 1 - 6 T + 128 T^{2} - 483 T^{3} + 6815 T^{4} - 18492 T^{5} + 279952 T^{6} - 724717 T^{7} + 11064919 T^{8} - 26814529 T^{9} + 383254288 T^{10} - 936675276 T^{11} + 12772407215 T^{12} - 33493131231 T^{13} + 328412980352 T^{14} - 569591262798 T^{15} + 3512479453921 T^{16} \))(\( 1 - 18 T + 376 T^{2} - 4505 T^{3} + 54939 T^{4} - 489840 T^{5} + 4312804 T^{6} - 29910143 T^{7} + 203070623 T^{8} - 1106675291 T^{9} + 5904228676 T^{10} - 24811865520 T^{11} + 102964531179 T^{12} - 312394526285 T^{13} + 964713129784 T^{14} - 1708773788394 T^{15} + 3512479453921 T^{16} \))(\( 1 + 8 T + 271 T^{2} + 1588 T^{3} + 33050 T^{4} + 143046 T^{5} + 2536026 T^{6} + 8188974 T^{7} + 145490287 T^{8} + 366377890 T^{9} + 6874214803 T^{10} + 14648570878 T^{11} + 275823336652 T^{12} + 541997122486 T^{13} + 9410800065307 T^{14} + 18558139262170 T^{15} + 272672221774207 T^{16} + 567855860930118 T^{17} + 6506748882110634 T^{18} + 13579625296367118 T^{19} + 116087445952089050 T^{20} + 206379242794582276 T^{21} + 1303126364925237079 T^{22} + 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 8 T + 271 T^{2} - 1588 T^{3} + 33050 T^{4} - 143046 T^{5} + 2536026 T^{6} - 8188974 T^{7} + 145490287 T^{8} - 366377890 T^{9} + 6874214803 T^{10} - 14648570878 T^{11} + 275823336652 T^{12} - 541997122486 T^{13} + 9410800065307 T^{14} - 18558139262170 T^{15} + 272672221774207 T^{16} - 567855860930118 T^{17} + 6506748882110634 T^{18} - 13579625296367118 T^{19} + 116087445952089050 T^{20} - 206379242794582276 T^{21} + 1303126364925237079 T^{22} - 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 22 T + 522 T^{2} + 7817 T^{3} + 115272 T^{4} + 1356664 T^{5} + 15428426 T^{6} + 151665750 T^{7} + 1434199673 T^{8} + 12154351467 T^{9} + 99018715088 T^{10} + 736205811706 T^{11} + 5263209408638 T^{12} + 34643930511858 T^{13} + 219325179695320 T^{14} + 1281825428938746 T^{15} + 7205333680425422 T^{16} + 37291032980344018 T^{17} + 185577014088041168 T^{18} + 842830825490534919 T^{19} + 3679763976795264257 T^{20} + 14397914344284294750 T^{21} + 54192029331340558346 T^{22} + \)\(17\!\cdots\!28\)\( T^{23} + \)\(55\!\cdots\!28\)\( T^{24} + \)\(13\!\cdots\!21\)\( T^{25} + \)\(34\!\cdots\!82\)\( T^{26} + \)\(53\!\cdots\!34\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 + 18 T + 346 T^{2} + 4219 T^{3} + 51108 T^{4} + 501188 T^{5} + 4847622 T^{6} + 40907834 T^{7} + 340648565 T^{8} + 2556544565 T^{9} + 19019833968 T^{10} + 129999203178 T^{11} + 884554435782 T^{12} + 5587696050546 T^{13} + 35215825019648 T^{14} + 206744753870202 T^{15} + 1210955022585558 T^{16} + 6584849638575234 T^{17} + 35646231049300848 T^{18} + 177280916383943705 T^{19} + 874011019408453085 T^{20} + 3883457471065159922 T^{21} + 17027172675375425862 T^{22} + 65135264444415051476 T^{23} + \)\(24\!\cdots\!92\)\( T^{24} + \)\(75\!\cdots\!47\)\( T^{25} + \)\(22\!\cdots\!26\)\( T^{26} + \)\(43\!\cdots\!46\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 18 T + 346 T^{2} - 4219 T^{3} + 51108 T^{4} - 501188 T^{5} + 4847622 T^{6} - 40907834 T^{7} + 340648565 T^{8} - 2556544565 T^{9} + 19019833968 T^{10} - 129999203178 T^{11} + 884554435782 T^{12} - 5587696050546 T^{13} + 35215825019648 T^{14} - 206744753870202 T^{15} + 1210955022585558 T^{16} - 6584849638575234 T^{17} + 35646231049300848 T^{18} - 177280916383943705 T^{19} + 874011019408453085 T^{20} - 3883457471065159922 T^{21} + 17027172675375425862 T^{22} - 65135264444415051476 T^{23} + \)\(24\!\cdots\!92\)\( T^{24} - \)\(75\!\cdots\!47\)\( T^{25} + \)\(22\!\cdots\!26\)\( T^{26} - \)\(43\!\cdots\!46\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 22 T + 522 T^{2} - 7817 T^{3} + 115272 T^{4} - 1356664 T^{5} + 15428426 T^{6} - 151665750 T^{7} + 1434199673 T^{8} - 12154351467 T^{9} + 99018715088 T^{10} - 736205811706 T^{11} + 5263209408638 T^{12} - 34643930511858 T^{13} + 219325179695320 T^{14} - 1281825428938746 T^{15} + 7205333680425422 T^{16} - 37291032980344018 T^{17} + 185577014088041168 T^{18} - 842830825490534919 T^{19} + 3679763976795264257 T^{20} - 14397914344284294750 T^{21} + 54192029331340558346 T^{22} - \)\(17\!\cdots\!28\)\( T^{23} + \)\(55\!\cdots\!28\)\( T^{24} - \)\(13\!\cdots\!21\)\( T^{25} + \)\(34\!\cdots\!82\)\( T^{26} - \)\(53\!\cdots\!34\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))
$41$ (\( 1 + 8 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 37 T^{2} + 1681 T^{4} \))(\( 1 + 77 T^{2} + 1681 T^{4} \))(\( 1 + 14 T + 135 T^{2} + 996 T^{3} + 5535 T^{4} + 23534 T^{5} + 68921 T^{6} \))(\( 1 - T + 58 T^{2} + 87 T^{3} + 2378 T^{4} - 1681 T^{5} + 68921 T^{6} \))(\( 1 - T + 121 T^{2} - 242 T^{3} + 6474 T^{4} - 9922 T^{5} + 203401 T^{6} - 68921 T^{7} + 2825761 T^{8} \))(\( 1 - 23 T + 277 T^{2} - 2246 T^{3} + 15230 T^{4} - 92086 T^{5} + 465637 T^{6} - 1585183 T^{7} + 2825761 T^{8} \))(\( 1 - 7 T + 89 T^{2} - 574 T^{3} + 5722 T^{4} - 23534 T^{5} + 149609 T^{6} - 482447 T^{7} + 2825761 T^{8} \))(\( 1 + 9 T + 151 T^{2} + 1098 T^{3} + 9024 T^{4} + 45018 T^{5} + 253831 T^{6} + 620289 T^{7} + 2825761 T^{8} \))(\( 1 - 6 T + 176 T^{2} - 838 T^{3} + 13295 T^{4} - 49000 T^{5} + 545095 T^{6} - 1408678 T^{7} + 12130096 T^{8} - 16954566 T^{9} + 115856201 T^{10} \))(\( 1 + 15 T + 215 T^{2} + 2090 T^{3} + 18157 T^{4} + 121401 T^{5} + 744437 T^{6} + 3513290 T^{7} + 14818015 T^{8} + 42386415 T^{9} + 115856201 T^{10} \))(\( 1 - 7 T + 135 T^{2} - 1002 T^{3} + 9005 T^{4} - 58961 T^{5} + 369205 T^{6} - 1684362 T^{7} + 9304335 T^{8} - 19780327 T^{9} + 115856201 T^{10} \))(\( 1 + T + 218 T^{2} + 322 T^{3} + 23375 T^{4} + 37522 T^{5} + 1614950 T^{6} + 2440663 T^{7} + 78223615 T^{8} + 100067183 T^{9} + 2714730950 T^{10} + 2586053762 T^{11} + 66052163375 T^{12} + 37305696722 T^{13} + 1035522724538 T^{14} + 194754273881 T^{15} + 7984925229121 T^{16} \))(\( 1 - 7 T + 158 T^{2} - 1315 T^{3} + 13133 T^{4} - 106952 T^{5} + 819746 T^{6} - 5500878 T^{7} + 39191124 T^{8} - 225535998 T^{9} + 1377993026 T^{10} - 7371238792 T^{11} + 37110719213 T^{12} - 152350904315 T^{13} + 750516470078 T^{14} - 1363279917167 T^{15} + 7984925229121 T^{16} \))(\( 1 + 7 T + 146 T^{2} + 290 T^{3} + 6657 T^{4} - 14616 T^{5} + 316450 T^{6} - 398833 T^{7} + 18250885 T^{8} - 16352153 T^{9} + 531952450 T^{10} - 1007349336 T^{11} + 18811090977 T^{12} + 33598298290 T^{13} + 693515219186 T^{14} + 1363279917167 T^{15} + 7984925229121 T^{16} \))(\( 1 + 7 T + 146 T^{2} + 290 T^{3} + 6657 T^{4} - 14616 T^{5} + 316450 T^{6} - 398833 T^{7} + 18250885 T^{8} - 16352153 T^{9} + 531952450 T^{10} - 1007349336 T^{11} + 18811090977 T^{12} + 33598298290 T^{13} + 693515219186 T^{14} + 1363279917167 T^{15} + 7984925229121 T^{16} \))(\( 1 + T + 218 T^{2} + 322 T^{3} + 23375 T^{4} + 37522 T^{5} + 1614950 T^{6} + 2440663 T^{7} + 78223615 T^{8} + 100067183 T^{9} + 2714730950 T^{10} + 2586053762 T^{11} + 66052163375 T^{12} + 37305696722 T^{13} + 1035522724538 T^{14} + 194754273881 T^{15} + 7984925229121 T^{16} \))(\( 1 + 4 T + 251 T^{2} + 780 T^{3} + 29258 T^{4} + 68680 T^{5} + 2208081 T^{6} + 4031628 T^{7} + 129639772 T^{8} + 206766552 T^{9} + 6549282855 T^{10} + 9944814512 T^{11} + 288865734980 T^{12} + 407737394992 T^{13} + 11009344479255 T^{14} + 14250557530392 T^{15} + 366331011766492 T^{16} + 467089103925228 T^{17} + 10488614922571521 T^{18} + 13375723530147080 T^{19} + 233622942353622218 T^{20} + 255357908827289580 T^{21} + 3369087486848252651 T^{22} + 2201316126864993764 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 4 T + 251 T^{2} + 780 T^{3} + 29258 T^{4} + 68680 T^{5} + 2208081 T^{6} + 4031628 T^{7} + 129639772 T^{8} + 206766552 T^{9} + 6549282855 T^{10} + 9944814512 T^{11} + 288865734980 T^{12} + 407737394992 T^{13} + 11009344479255 T^{14} + 14250557530392 T^{15} + 366331011766492 T^{16} + 467089103925228 T^{17} + 10488614922571521 T^{18} + 13375723530147080 T^{19} + 233622942353622218 T^{20} + 255357908827289580 T^{21} + 3369087486848252651 T^{22} + 2201316126864993764 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 17 T + 378 T^{2} + 5316 T^{3} + 73453 T^{4} + 840084 T^{5} + 9214851 T^{6} + 89272404 T^{7} + 831682317 T^{8} + 7065105151 T^{9} + 57747973055 T^{10} + 438152240282 T^{11} + 3205596096524 T^{12} + 21938127627268 T^{13} + 145091451945897 T^{14} + 899463232717988 T^{15} + 5388607038256844 T^{16} + 30197890552475722 T^{17} + 163181970087869855 T^{18} + 818536242460391351 T^{19} + 3950577701146406397 T^{20} + 17386182218631279924 T^{21} + 73579896232490875971 T^{22} + \)\(27\!\cdots\!24\)\( T^{23} + \)\(98\!\cdots\!53\)\( T^{24} + \)\(29\!\cdots\!56\)\( T^{25} + \)\(85\!\cdots\!18\)\( T^{26} + \)\(15\!\cdots\!57\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 + 7 T + 262 T^{2} + 2640 T^{3} + 39667 T^{4} + 420038 T^{5} + 4561507 T^{6} + 42891762 T^{7} + 399809855 T^{8} + 3325823807 T^{9} + 27223537581 T^{10} + 204976865162 T^{11} + 1500708456526 T^{12} + 10205025251938 T^{13} + 67954179567427 T^{14} + 418406035329458 T^{15} + 2522690915420206 T^{16} + 14127210523830202 T^{17} + 76927210778424141 T^{18} + 385317311474377207 T^{19} + 1899138487829095055 T^{20} + 8353353963786668322 T^{21} + 36423292327112045347 T^{22} + \)\(13\!\cdots\!18\)\( T^{23} + \)\(53\!\cdots\!67\)\( T^{24} + \)\(14\!\cdots\!40\)\( T^{25} + \)\(59\!\cdots\!22\)\( T^{26} + \)\(64\!\cdots\!47\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 + 7 T + 262 T^{2} + 2640 T^{3} + 39667 T^{4} + 420038 T^{5} + 4561507 T^{6} + 42891762 T^{7} + 399809855 T^{8} + 3325823807 T^{9} + 27223537581 T^{10} + 204976865162 T^{11} + 1500708456526 T^{12} + 10205025251938 T^{13} + 67954179567427 T^{14} + 418406035329458 T^{15} + 2522690915420206 T^{16} + 14127210523830202 T^{17} + 76927210778424141 T^{18} + 385317311474377207 T^{19} + 1899138487829095055 T^{20} + 8353353963786668322 T^{21} + 36423292327112045347 T^{22} + \)\(13\!\cdots\!18\)\( T^{23} + \)\(53\!\cdots\!67\)\( T^{24} + \)\(14\!\cdots\!40\)\( T^{25} + \)\(59\!\cdots\!22\)\( T^{26} + \)\(64\!\cdots\!47\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 + 17 T + 378 T^{2} + 5316 T^{3} + 73453 T^{4} + 840084 T^{5} + 9214851 T^{6} + 89272404 T^{7} + 831682317 T^{8} + 7065105151 T^{9} + 57747973055 T^{10} + 438152240282 T^{11} + 3205596096524 T^{12} + 21938127627268 T^{13} + 145091451945897 T^{14} + 899463232717988 T^{15} + 5388607038256844 T^{16} + 30197890552475722 T^{17} + 163181970087869855 T^{18} + 818536242460391351 T^{19} + 3950577701146406397 T^{20} + 17386182218631279924 T^{21} + 73579896232490875971 T^{22} + \)\(27\!\cdots\!24\)\( T^{23} + \)\(98\!\cdots\!53\)\( T^{24} + \)\(29\!\cdots\!56\)\( T^{25} + \)\(85\!\cdots\!18\)\( T^{26} + \)\(15\!\cdots\!57\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))
$43$ (\( 1 + 6 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 6 T + 50 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 89 T^{2} - 384 T^{3} + 3827 T^{4} - 14792 T^{5} + 79507 T^{6} \))(\( 1 + 2 T + 128 T^{2} + 171 T^{3} + 5504 T^{4} + 3698 T^{5} + 79507 T^{6} \))(\( 1 + 14 T + 161 T^{2} + 1421 T^{3} + 9720 T^{4} + 61103 T^{5} + 297689 T^{6} + 1113098 T^{7} + 3418801 T^{8} \))(\( 1 + 2 T + 55 T^{2} + 103 T^{3} + 1724 T^{4} + 4429 T^{5} + 101695 T^{6} + 159014 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T + 133 T^{2} - 705 T^{3} + 7716 T^{4} - 30315 T^{5} + 245917 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 97 T^{2} - 393 T^{3} + 5906 T^{4} - 16899 T^{5} + 179353 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 12 T + 191 T^{2} - 1696 T^{3} + 16226 T^{4} - 101736 T^{5} + 697718 T^{6} - 3135904 T^{7} + 15185837 T^{8} - 41025612 T^{9} + 147008443 T^{10} \))(\( 1 + 8 T + 200 T^{2} + 1169 T^{3} + 16157 T^{4} + 70810 T^{5} + 694751 T^{6} + 2161481 T^{7} + 15901400 T^{8} + 27350408 T^{9} + 147008443 T^{10} \))(\( 1 - 12 T + 138 T^{2} - 1233 T^{3} + 10559 T^{4} - 69898 T^{5} + 454037 T^{6} - 2279817 T^{7} + 10971966 T^{8} - 41025612 T^{9} + 147008443 T^{10} \))(\( 1 + 20 T + 370 T^{2} + 4633 T^{3} + 53740 T^{4} + 509876 T^{5} + 4469206 T^{6} + 33824174 T^{7} + 236968703 T^{8} + 1454439482 T^{9} + 8263561894 T^{10} + 40538711132 T^{11} + 183726365740 T^{12} + 681090116419 T^{13} + 2338904328130 T^{14} + 5436372222140 T^{15} + 11688200277601 T^{16} \))(\( 1 - 10 T + 187 T^{2} - 2015 T^{3} + 20782 T^{4} - 189837 T^{5} + 1590085 T^{6} - 11446780 T^{7} + 82824466 T^{8} - 492211540 T^{9} + 2940067165 T^{10} - 15093370359 T^{11} + 71049522382 T^{12} - 296222012645 T^{13} + 1182094890163 T^{14} - 2718186111070 T^{15} + 11688200277601 T^{16} \))(\( 1 + 8 T + 186 T^{2} + 811 T^{3} + 12532 T^{4} + 3752 T^{5} + 314858 T^{6} - 2838902 T^{7} + 3830323 T^{8} - 122072786 T^{9} + 582172442 T^{10} + 298310264 T^{11} + 42844414132 T^{12} + 119223847273 T^{13} + 1175773527114 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 - 8 T + 186 T^{2} - 811 T^{3} + 12532 T^{4} - 3752 T^{5} + 314858 T^{6} + 2838902 T^{7} + 3830323 T^{8} + 122072786 T^{9} + 582172442 T^{10} - 298310264 T^{11} + 42844414132 T^{12} - 119223847273 T^{13} + 1175773527114 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} \))(\( 1 - 20 T + 370 T^{2} - 4633 T^{3} + 53740 T^{4} - 509876 T^{5} + 4469206 T^{6} - 33824174 T^{7} + 236968703 T^{8} - 1454439482 T^{9} + 8263561894 T^{10} - 40538711132 T^{11} + 183726365740 T^{12} - 681090116419 T^{13} + 2338904328130 T^{14} - 5436372222140 T^{15} + 11688200277601 T^{16} \))(\( 1 + 26 T + 578 T^{2} + 8682 T^{3} + 117563 T^{4} + 1307620 T^{5} + 13584507 T^{6} + 124442736 T^{7} + 1088354331 T^{8} + 8668947386 T^{9} + 66529730527 T^{10} + 470551819326 T^{11} + 3210480833674 T^{12} + 20233728231018 T^{13} + 123013471744423 T^{14} + 689241999818702 T^{15} + 3720866875177131 T^{16} + 18294132862020048 T^{17} + 85872600588681843 T^{18} + 355435452255735340 T^{19} + 1374099889235606363 T^{20} + 4363509056835670926 T^{21} + 12491436777078295922 T^{22} + 24161637226251790382 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 26 T + 578 T^{2} - 8682 T^{3} + 117563 T^{4} - 1307620 T^{5} + 13584507 T^{6} - 124442736 T^{7} + 1088354331 T^{8} - 8668947386 T^{9} + 66529730527 T^{10} - 470551819326 T^{11} + 3210480833674 T^{12} - 20233728231018 T^{13} + 123013471744423 T^{14} - 689241999818702 T^{15} + 3720866875177131 T^{16} - 18294132862020048 T^{17} + 85872600588681843 T^{18} - 355435452255735340 T^{19} + 1374099889235606363 T^{20} - 4363509056835670926 T^{21} + 12491436777078295922 T^{22} - 24161637226251790382 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 18 T + 478 T^{2} + 5787 T^{3} + 89169 T^{4} + 806610 T^{5} + 9355076 T^{6} + 67553931 T^{7} + 677579870 T^{8} + 4226402868 T^{9} + 40623384000 T^{10} + 236903394387 T^{11} + 2211069001608 T^{12} + 12144130144285 T^{13} + 104422411826012 T^{14} + 522197596204255 T^{15} + 4088266583973192 T^{16} + 18835478177527209 T^{17} + 138883265842584000 T^{18} + 621316905115414524 T^{19} + 4283228352964223630 T^{20} + 18362415699238111617 T^{21} + \)\(10\!\cdots\!76\)\( T^{22} + \)\(40\!\cdots\!30\)\( T^{23} + \)\(19\!\cdots\!81\)\( T^{24} + \)\(53\!\cdots\!09\)\( T^{25} + \)\(19\!\cdots\!78\)\( T^{26} + \)\(30\!\cdots\!74\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 + 18 T + 366 T^{2} + 4641 T^{3} + 59465 T^{4} + 608854 T^{5} + 6143696 T^{6} + 54168393 T^{7} + 470772018 T^{8} + 3719594892 T^{9} + 29137454200 T^{10} + 211460532837 T^{11} + 1531245359196 T^{12} + 10358137224639 T^{13} + 70183362359220 T^{14} + 445399900659477 T^{15} + 2831272669153404 T^{16} + 16812592584271359 T^{17} + 99615157556414200 T^{18} + 546811853663673156 T^{19} + 2975920839088362882 T^{20} + 14723977351158141051 T^{21} + 71808749292696153296 T^{22} + \)\(30\!\cdots\!22\)\( T^{23} + \)\(12\!\cdots\!85\)\( T^{24} + \)\(43\!\cdots\!87\)\( T^{25} + \)\(14\!\cdots\!66\)\( T^{26} + \)\(30\!\cdots\!74\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 18 T + 366 T^{2} - 4641 T^{3} + 59465 T^{4} - 608854 T^{5} + 6143696 T^{6} - 54168393 T^{7} + 470772018 T^{8} - 3719594892 T^{9} + 29137454200 T^{10} - 211460532837 T^{11} + 1531245359196 T^{12} - 10358137224639 T^{13} + 70183362359220 T^{14} - 445399900659477 T^{15} + 2831272669153404 T^{16} - 16812592584271359 T^{17} + 99615157556414200 T^{18} - 546811853663673156 T^{19} + 2975920839088362882 T^{20} - 14723977351158141051 T^{21} + 71808749292696153296 T^{22} - \)\(30\!\cdots\!22\)\( T^{23} + \)\(12\!\cdots\!85\)\( T^{24} - \)\(43\!\cdots\!87\)\( T^{25} + \)\(14\!\cdots\!66\)\( T^{26} - \)\(30\!\cdots\!74\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 18 T + 478 T^{2} - 5787 T^{3} + 89169 T^{4} - 806610 T^{5} + 9355076 T^{6} - 67553931 T^{7} + 677579870 T^{8} - 4226402868 T^{9} + 40623384000 T^{10} - 236903394387 T^{11} + 2211069001608 T^{12} - 12144130144285 T^{13} + 104422411826012 T^{14} - 522197596204255 T^{15} + 4088266583973192 T^{16} - 18835478177527209 T^{17} + 138883265842584000 T^{18} - 621316905115414524 T^{19} + 4283228352964223630 T^{20} - 18362415699238111617 T^{21} + \)\(10\!\cdots\!76\)\( T^{22} - \)\(40\!\cdots\!30\)\( T^{23} + \)\(19\!\cdots\!81\)\( T^{24} - \)\(53\!\cdots\!09\)\( T^{25} + \)\(19\!\cdots\!78\)\( T^{26} - \)\(30\!\cdots\!74\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))
$47$ (\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 4 T + 93 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 75 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 16 T + 203 T^{2} + 1514 T^{3} + 9541 T^{4} + 35344 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 140 T^{2} + 1087 T^{3} + 6580 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 4 T + 109 T^{2} + 53 T^{3} + 5092 T^{4} + 2491 T^{5} + 240781 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 2 T + 117 T^{2} + 73 T^{3} + 6904 T^{4} + 3431 T^{5} + 258453 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 227 T^{2} - 1731 T^{3} + 16932 T^{4} - 81357 T^{5} + 501443 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 21 T + 345 T^{2} - 3461 T^{3} + 28589 T^{4} - 162667 T^{5} + 762105 T^{6} - 2180283 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T + 110 T^{2} - 38 T^{3} - 3609 T^{4} - 58894 T^{5} - 169623 T^{6} - 83942 T^{7} + 11420530 T^{8} + 48796810 T^{9} + 229345007 T^{10} \))(\( 1 - 10 T + 219 T^{2} - 1665 T^{3} + 19993 T^{4} - 112659 T^{5} + 939671 T^{6} - 3677985 T^{7} + 22737237 T^{8} - 48796810 T^{9} + 229345007 T^{10} \))(\( 1 - 24 T + 431 T^{2} - 5125 T^{3} + 50209 T^{4} - 375429 T^{5} + 2359823 T^{6} - 11321125 T^{7} + 44747713 T^{8} - 117112344 T^{9} + 229345007 T^{10} \))(\( 1 + 10 T + 203 T^{2} + 2104 T^{3} + 23744 T^{4} + 210815 T^{5} + 1848114 T^{6} + 13961441 T^{7} + 101566631 T^{8} + 656187727 T^{9} + 4082483826 T^{10} + 21887445745 T^{11} + 115863145664 T^{12} + 482541894728 T^{13} + 2188180711787 T^{14} + 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 + 19 T + 204 T^{2} + 1818 T^{3} + 15942 T^{4} + 130342 T^{5} + 1055049 T^{6} + 8462151 T^{7} + 62857704 T^{8} + 397721097 T^{9} + 2330603241 T^{10} + 13532497466 T^{11} + 77791874502 T^{12} + 416949222726 T^{13} + 2198959927116 T^{14} + 9625839288797 T^{15} + 23811286661761 T^{16} \))(\( 1 + 22 T + 477 T^{2} + 6490 T^{3} + 84170 T^{4} + 846631 T^{5} + 8082338 T^{6} + 63730055 T^{7} + 476894657 T^{8} + 2995312585 T^{9} + 17853884642 T^{10} + 87899770313 T^{11} + 410722749770 T^{12} + 1488449095430 T^{13} + 5141685711933 T^{14} + 11145708650186 T^{15} + 23811286661761 T^{16} \))(\( 1 - 22 T + 477 T^{2} - 6490 T^{3} + 84170 T^{4} - 846631 T^{5} + 8082338 T^{6} - 63730055 T^{7} + 476894657 T^{8} - 2995312585 T^{9} + 17853884642 T^{10} - 87899770313 T^{11} + 410722749770 T^{12} - 1488449095430 T^{13} + 5141685711933 T^{14} - 11145708650186 T^{15} + 23811286661761 T^{16} \))(\( 1 - 10 T + 203 T^{2} - 2104 T^{3} + 23744 T^{4} - 210815 T^{5} + 1848114 T^{6} - 13961441 T^{7} + 101566631 T^{8} - 656187727 T^{9} + 4082483826 T^{10} - 21887445745 T^{11} + 115863145664 T^{12} - 482541894728 T^{13} + 2188180711787 T^{14} - 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 + 16 T + 368 T^{2} + 4392 T^{3} + 62248 T^{4} + 618200 T^{5} + 6857049 T^{6} + 59881572 T^{7} + 563243206 T^{8} + 4408165880 T^{9} + 36381823766 T^{10} + 256816993148 T^{11} + 1895036675956 T^{12} + 12070398677956 T^{13} + 80367448699094 T^{14} + 457669006159240 T^{15} + 2748447170697286 T^{16} + 13733539549511004 T^{17} + 73913607692504121 T^{18} + 313194413070226600 T^{19} + 1482204972121298728 T^{20} + 4915221037867352664 T^{21} + 19356480662785458032 T^{22} + 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 16 T + 368 T^{2} - 4392 T^{3} + 62248 T^{4} - 618200 T^{5} + 6857049 T^{6} - 59881572 T^{7} + 563243206 T^{8} - 4408165880 T^{9} + 36381823766 T^{10} - 256816993148 T^{11} + 1895036675956 T^{12} - 12070398677956 T^{13} + 80367448699094 T^{14} - 457669006159240 T^{15} + 2748447170697286 T^{16} - 13733539549511004 T^{17} + 73913607692504121 T^{18} - 313194413070226600 T^{19} + 1482204972121298728 T^{20} - 4915221037867352664 T^{21} + 19356480662785458032 T^{22} - 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 30 T + 757 T^{2} + 13956 T^{3} + 226130 T^{4} + 3145061 T^{5} + 39751893 T^{6} + 453037275 T^{7} + 4780591274 T^{8} + 46507325725 T^{9} + 423391135294 T^{10} + 3594201351750 T^{11} + 28722881382201 T^{12} + 215242935935997 T^{13} + 1522545273662593 T^{14} + 10116417988991859 T^{15} + 63448844973282009 T^{16} + 373160766942740250 T^{17} + 2066013678462561214 T^{18} + 10666222943951405075 T^{19} + 51531022742384439146 T^{20} + \)\(22\!\cdots\!25\)\( T^{21} + \)\(94\!\cdots\!73\)\( T^{22} + \)\(35\!\cdots\!87\)\( T^{23} + \)\(11\!\cdots\!70\)\( T^{24} + \)\(34\!\cdots\!68\)\( T^{25} + \)\(87\!\cdots\!37\)\( T^{26} + \)\(16\!\cdots\!10\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 + 10 T + 355 T^{2} + 3310 T^{3} + 63280 T^{4} + 531585 T^{5} + 7379569 T^{6} + 55788965 T^{7} + 631560442 T^{8} + 4349115453 T^{9} + 42803940520 T^{10} + 272778367170 T^{11} + 2436702056939 T^{12} + 14571457354777 T^{13} + 121448028946007 T^{14} + 684858495674519 T^{15} + 5382674843778251 T^{16} + 28320668414690910 T^{17} + 208869575280574120 T^{18} + 997447914012093171 T^{19} + 6807725997596415418 T^{20} + 28263979535701090795 T^{21} + \)\(17\!\cdots\!09\)\( T^{22} + \)\(59\!\cdots\!95\)\( T^{23} + \)\(33\!\cdots\!20\)\( T^{24} + \)\(81\!\cdots\!30\)\( T^{25} + \)\(41\!\cdots\!55\)\( T^{26} + \)\(54\!\cdots\!70\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 10 T + 355 T^{2} - 3310 T^{3} + 63280 T^{4} - 531585 T^{5} + 7379569 T^{6} - 55788965 T^{7} + 631560442 T^{8} - 4349115453 T^{9} + 42803940520 T^{10} - 272778367170 T^{11} + 2436702056939 T^{12} - 14571457354777 T^{13} + 121448028946007 T^{14} - 684858495674519 T^{15} + 5382674843778251 T^{16} - 28320668414690910 T^{17} + 208869575280574120 T^{18} - 997447914012093171 T^{19} + 6807725997596415418 T^{20} - 28263979535701090795 T^{21} + \)\(17\!\cdots\!09\)\( T^{22} - \)\(59\!\cdots\!95\)\( T^{23} + \)\(33\!\cdots\!20\)\( T^{24} - \)\(81\!\cdots\!30\)\( T^{25} + \)\(41\!\cdots\!55\)\( T^{26} - \)\(54\!\cdots\!70\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 30 T + 757 T^{2} - 13956 T^{3} + 226130 T^{4} - 3145061 T^{5} + 39751893 T^{6} - 453037275 T^{7} + 4780591274 T^{8} - 46507325725 T^{9} + 423391135294 T^{10} - 3594201351750 T^{11} + 28722881382201 T^{12} - 215242935935997 T^{13} + 1522545273662593 T^{14} - 10116417988991859 T^{15} + 63448844973282009 T^{16} - 373160766942740250 T^{17} + 2066013678462561214 T^{18} - 10666222943951405075 T^{19} + 51531022742384439146 T^{20} - \)\(22\!\cdots\!25\)\( T^{21} + \)\(94\!\cdots\!73\)\( T^{22} - \)\(35\!\cdots\!87\)\( T^{23} + \)\(11\!\cdots\!70\)\( T^{24} - \)\(34\!\cdots\!68\)\( T^{25} + \)\(87\!\cdots\!37\)\( T^{26} - \)\(16\!\cdots\!10\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))
$53$ (\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 22 T + 222 T^{2} - 1166 T^{3} + 2809 T^{4} \))(\( 1 + 18 T + 182 T^{2} + 954 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 107 T^{2} + 388 T^{3} + 5671 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 - 9 T + 11 T^{2} + 419 T^{3} + 583 T^{4} - 25281 T^{5} + 148877 T^{6} \))(\( 1 - T + 202 T^{2} - 146 T^{3} + 15792 T^{4} - 7738 T^{5} + 567418 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 - T + 150 T^{2} - 104 T^{3} + 10648 T^{4} - 5512 T^{5} + 421350 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 + 23 T + 344 T^{2} + 3536 T^{3} + 29014 T^{4} + 187408 T^{5} + 966296 T^{6} + 3424171 T^{7} + 7890481 T^{8} \))(\( 1 - 11 T + 102 T^{2} - 318 T^{3} + 2720 T^{4} - 16854 T^{5} + 286518 T^{6} - 1637647 T^{7} + 7890481 T^{8} \))(\( 1 + 16 T + 317 T^{2} + 3240 T^{3} + 35942 T^{4} + 254032 T^{5} + 1904926 T^{6} + 9101160 T^{7} + 47194009 T^{8} + 126247696 T^{9} + 418195493 T^{10} \))(\( 1 - 9 T + 135 T^{2} - 103 T^{3} + 846 T^{4} + 46032 T^{5} + 44838 T^{6} - 289327 T^{7} + 20098395 T^{8} - 71014329 T^{9} + 418195493 T^{10} \))(\( 1 - 21 T + 407 T^{2} - 4757 T^{3} + 50566 T^{4} - 385716 T^{5} + 2679998 T^{6} - 13362413 T^{7} + 60592939 T^{8} - 165700101 T^{9} + 418195493 T^{10} \))(\( 1 + 11 T + 185 T^{2} + 1808 T^{3} + 21781 T^{4} + 178945 T^{5} + 1785701 T^{6} + 12903950 T^{7} + 107340417 T^{8} + 683909350 T^{9} + 5016034109 T^{10} + 26640794765 T^{11} + 171862566661 T^{12} + 756097451344 T^{13} + 4100406808865 T^{14} + 12921822538207 T^{15} + 62259690411361 T^{16} \))(\( 1 - T + 184 T^{2} - 630 T^{3} + 18404 T^{4} - 93240 T^{5} + 1334752 T^{6} - 7959493 T^{7} + 76724166 T^{8} - 421853129 T^{9} + 3749318368 T^{10} - 13881291480 T^{11} + 145216412324 T^{12} - 263463160590 T^{13} + 4078242447736 T^{14} - 1174711139837 T^{15} + 62259690411361 T^{16} \))(\( 1 + 21 T + 545 T^{2} + 7508 T^{3} + 111457 T^{4} + 1140983 T^{5} + 12195509 T^{6} + 97831066 T^{7} + 813054453 T^{8} + 5185046498 T^{9} + 34257184781 T^{10} + 169866126091 T^{11} + 879449340817 T^{12} + 3139811761444 T^{13} + 12079576815305 T^{14} + 24668933936577 T^{15} + 62259690411361 T^{16} \))(\( 1 - 21 T + 545 T^{2} - 7508 T^{3} + 111457 T^{4} - 1140983 T^{5} + 12195509 T^{6} - 97831066 T^{7} + 813054453 T^{8} - 5185046498 T^{9} + 34257184781 T^{10} - 169866126091 T^{11} + 879449340817 T^{12} - 3139811761444 T^{13} + 12079576815305 T^{14} - 24668933936577 T^{15} + 62259690411361 T^{16} \))(\( 1 - 11 T + 185 T^{2} - 1808 T^{3} + 21781 T^{4} - 178945 T^{5} + 1785701 T^{6} - 12903950 T^{7} + 107340417 T^{8} - 683909350 T^{9} + 5016034109 T^{10} - 26640794765 T^{11} + 171862566661 T^{12} - 756097451344 T^{13} + 4100406808865 T^{14} - 12921822538207 T^{15} + 62259690411361 T^{16} \))(\( 1 - 18 T + 501 T^{2} - 6670 T^{3} + 111442 T^{4} - 1217844 T^{5} + 15555492 T^{6} - 146270876 T^{7} + 1555182919 T^{8} - 12868554898 T^{9} + 118426221347 T^{10} - 870464673070 T^{11} + 7064049896396 T^{12} - 46134627672710 T^{13} + 332659255763723 T^{14} - 1915831847549546 T^{15} + 12271141273894039 T^{16} - 61169821100361868 T^{17} + 344777542227270468 T^{18} - 1430614913383651428 T^{19} + 6938344418822892562 T^{20} - 22009423157320227110 T^{21} + 87618622653122037549 T^{22} - \)\(16\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 501 T^{2} + 6670 T^{3} + 111442 T^{4} + 1217844 T^{5} + 15555492 T^{6} + 146270876 T^{7} + 1555182919 T^{8} + 12868554898 T^{9} + 118426221347 T^{10} + 870464673070 T^{11} + 7064049896396 T^{12} + 46134627672710 T^{13} + 332659255763723 T^{14} + 1915831847549546 T^{15} + 12271141273894039 T^{16} + 61169821100361868 T^{17} + 344777542227270468 T^{18} + 1430614913383651428 T^{19} + 6938344418822892562 T^{20} + 22009423157320227110 T^{21} + 87618622653122037549 T^{22} + \)\(16\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 11 T + 459 T^{2} + 4050 T^{3} + 95108 T^{4} + 659652 T^{5} + 11697724 T^{6} + 59472636 T^{7} + 942701787 T^{8} + 2806666614 T^{9} + 52282455135 T^{10} + 11366484357 T^{11} + 2178795550640 T^{12} - 7016039332924 T^{13} + 94871220818868 T^{14} - 371850084644972 T^{15} + 6120236701747760 T^{16} + 1692208091617089 T^{17} + 412533718876069935 T^{18} + 1173735328328370702 T^{19} + 20894382844021637523 T^{20} + 69863168024671000332 T^{21} + \)\(72\!\cdots\!64\)\( T^{22} + \)\(21\!\cdots\!16\)\( T^{23} + \)\(16\!\cdots\!92\)\( T^{24} + \)\(37\!\cdots\!50\)\( T^{25} + \)\(22\!\cdots\!19\)\( T^{26} + \)\(28\!\cdots\!03\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 + 5 T + 323 T^{2} + 1362 T^{3} + 51888 T^{4} + 196444 T^{5} + 5782396 T^{6} + 21213640 T^{7} + 513898043 T^{8} + 1898767906 T^{9} + 38413174831 T^{10} + 141408233359 T^{11} + 2467213668708 T^{12} + 8804595640936 T^{13} + 138915308808228 T^{14} + 466643568969608 T^{15} + 6930403195400772 T^{16} + 21052433557787843 T^{17} + 303098426153683711 T^{18} + 794056180542247658 T^{19} + 11390221808538370547 T^{20} + 24919899224491776680 T^{21} + \)\(36\!\cdots\!56\)\( T^{22} + \)\(64\!\cdots\!52\)\( T^{23} + \)\(90\!\cdots\!12\)\( T^{24} + \)\(12\!\cdots\!14\)\( T^{25} + \)\(15\!\cdots\!43\)\( T^{26} + \)\(13\!\cdots\!65\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 5 T + 323 T^{2} - 1362 T^{3} + 51888 T^{4} - 196444 T^{5} + 5782396 T^{6} - 21213640 T^{7} + 513898043 T^{8} - 1898767906 T^{9} + 38413174831 T^{10} - 141408233359 T^{11} + 2467213668708 T^{12} - 8804595640936 T^{13} + 138915308808228 T^{14} - 466643568969608 T^{15} + 6930403195400772 T^{16} - 21052433557787843 T^{17} + 303098426153683711 T^{18} - 794056180542247658 T^{19} + 11390221808538370547 T^{20} - 24919899224491776680 T^{21} + \)\(36\!\cdots\!56\)\( T^{22} - \)\(64\!\cdots\!52\)\( T^{23} + \)\(90\!\cdots\!12\)\( T^{24} - \)\(12\!\cdots\!14\)\( T^{25} + \)\(15\!\cdots\!43\)\( T^{26} - \)\(13\!\cdots\!65\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 11 T + 459 T^{2} - 4050 T^{3} + 95108 T^{4} - 659652 T^{5} + 11697724 T^{6} - 59472636 T^{7} + 942701787 T^{8} - 2806666614 T^{9} + 52282455135 T^{10} - 11366484357 T^{11} + 2178795550640 T^{12} + 7016039332924 T^{13} + 94871220818868 T^{14} + 371850084644972 T^{15} + 6120236701747760 T^{16} - 1692208091617089 T^{17} + 412533718876069935 T^{18} - 1173735328328370702 T^{19} + 20894382844021637523 T^{20} - 69863168024671000332 T^{21} + \)\(72\!\cdots\!64\)\( T^{22} - \)\(21\!\cdots\!16\)\( T^{23} + \)\(16\!\cdots\!92\)\( T^{24} - \)\(37\!\cdots\!50\)\( T^{25} + \)\(22\!\cdots\!19\)\( T^{26} - \)\(28\!\cdots\!03\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))
$59$ (\( 1 - 2 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 + 4 T + 102 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 134 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 75 T^{2} + 210 T^{3} + 4425 T^{4} + 34810 T^{5} + 205379 T^{6} \))(\( 1 + 21 T + 303 T^{2} + 2681 T^{3} + 17877 T^{4} + 73101 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 162 T^{2} + 752 T^{3} + 12318 T^{4} + 44368 T^{5} + 563922 T^{6} + 1437653 T^{7} + 12117361 T^{8} \))(\( 1 - 15 T + 286 T^{2} - 2620 T^{3} + 26558 T^{4} - 154580 T^{5} + 995566 T^{6} - 3080685 T^{7} + 12117361 T^{8} \))(\( 1 - 23 T + 428 T^{2} - 4760 T^{3} + 44440 T^{4} - 280840 T^{5} + 1489868 T^{6} - 4723717 T^{7} + 12117361 T^{8} \))(\( 1 + 37 T + 708 T^{2} + 8954 T^{3} + 80808 T^{4} + 528286 T^{5} + 2464548 T^{6} + 7599023 T^{7} + 12117361 T^{8} \))(\( 1 - 22 T + 413 T^{2} - 5194 T^{3} + 54600 T^{4} - 458288 T^{5} + 3221400 T^{6} - 18080314 T^{7} + 84821527 T^{8} - 266581942 T^{9} + 714924299 T^{10} \))(\( 1 + 19 T + 369 T^{2} + 4255 T^{3} + 47176 T^{4} + 369412 T^{5} + 2783384 T^{6} + 14811655 T^{7} + 75784851 T^{8} + 230229859 T^{9} + 714924299 T^{10} \))(\( 1 + T + 225 T^{2} + 105 T^{3} + 22792 T^{4} + 5604 T^{5} + 1344728 T^{6} + 365505 T^{7} + 46210275 T^{8} + 12117361 T^{9} + 714924299 T^{10} \))(\( 1 - 20 T + 491 T^{2} - 6579 T^{3} + 96053 T^{4} - 991671 T^{5} + 10783675 T^{6} - 90024096 T^{7} + 781129041 T^{8} - 5311421664 T^{9} + 37537972675 T^{10} - 203668398309 T^{11} + 1163908876133 T^{12} - 4703486963121 T^{13} + 20710642017731 T^{14} - 49773029696380 T^{15} + 146830437604321 T^{16} \))(\( 1 - 21 T + 444 T^{2} - 4604 T^{3} + 46566 T^{4} - 171266 T^{5} + 163748 T^{6} + 19348241 T^{7} - 146115662 T^{8} + 1141546219 T^{9} + 570006788 T^{10} - 35174439814 T^{11} + 564257032326 T^{12} - 3291511472596 T^{13} + 18728156936604 T^{14} - 52261681181199 T^{15} + 146830437604321 T^{16} \))(\( 1 - 14 T + 265 T^{2} - 2791 T^{3} + 35713 T^{4} - 324717 T^{5} + 3355461 T^{6} - 26197372 T^{7} + 229201335 T^{8} - 1545644948 T^{9} + 11680359741 T^{10} - 66690052743 T^{11} + 432747313393 T^{12} - 1995353718509 T^{13} + 11177841414865 T^{14} - 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 - 14 T + 265 T^{2} - 2791 T^{3} + 35713 T^{4} - 324717 T^{5} + 3355461 T^{6} - 26197372 T^{7} + 229201335 T^{8} - 1545644948 T^{9} + 11680359741 T^{10} - 66690052743 T^{11} + 432747313393 T^{12} - 1995353718509 T^{13} + 11177841414865 T^{14} - 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 - 20 T + 491 T^{2} - 6579 T^{3} + 96053 T^{4} - 991671 T^{5} + 10783675 T^{6} - 90024096 T^{7} + 781129041 T^{8} - 5311421664 T^{9} + 37537972675 T^{10} - 203668398309 T^{11} + 1163908876133 T^{12} - 4703486963121 T^{13} + 20710642017731 T^{14} - 49773029696380 T^{15} + 146830437604321 T^{16} \))(\( 1 + 18 T + 443 T^{2} + 6112 T^{3} + 93728 T^{4} + 1071802 T^{5} + 12989744 T^{6} + 128973906 T^{7} + 1333184899 T^{8} + 11791088468 T^{9} + 107695184445 T^{10} + 857739367502 T^{11} + 7038996899912 T^{12} + 50606622682618 T^{13} + 374886937053045 T^{14} + 2421641958469372 T^{15} + 16154682700931539 T^{16} + 92206579336341894 T^{17} + 547914333779977904 T^{18} + 2667341638731973838 T^{19} + 13762123255777798688 T^{20} + 52948230443618987168 T^{21} + \)\(22\!\cdots\!43\)\( T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 18 T + 443 T^{2} + 6112 T^{3} + 93728 T^{4} + 1071802 T^{5} + 12989744 T^{6} + 128973906 T^{7} + 1333184899 T^{8} + 11791088468 T^{9} + 107695184445 T^{10} + 857739367502 T^{11} + 7038996899912 T^{12} + 50606622682618 T^{13} + 374886937053045 T^{14} + 2421641958469372 T^{15} + 16154682700931539 T^{16} + 92206579336341894 T^{17} + 547914333779977904 T^{18} + 2667341638731973838 T^{19} + 13762123255777798688 T^{20} + 52948230443618987168 T^{21} + \)\(22\!\cdots\!43\)\( T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 22 T + 614 T^{2} + 9721 T^{3} + 169952 T^{4} + 2196912 T^{5} + 29980987 T^{6} + 333692017 T^{7} + 3847134473 T^{8} + 37895606369 T^{9} + 382954251456 T^{10} + 3387468788676 T^{11} + 30588576474205 T^{12} + 244652170345875 T^{13} + 1993147423237107 T^{14} + 14434478050406625 T^{15} + 106478834706707605 T^{16} + 695714952349488204 T^{17} + 4640394911377127616 T^{18} + 27092489818537260331 T^{19} + \)\(16\!\cdots\!93\)\( T^{20} + \)\(83\!\cdots\!23\)\( T^{21} + \)\(44\!\cdots\!27\)\( T^{22} + \)\(19\!\cdots\!68\)\( T^{23} + \)\(86\!\cdots\!52\)\( T^{24} + \)\(29\!\cdots\!39\)\( T^{25} + \)\(10\!\cdots\!34\)\( T^{26} + \)\(23\!\cdots\!38\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 24 T + 608 T^{2} + 10083 T^{3} + 158930 T^{4} + 2078978 T^{5} + 25891621 T^{6} + 287913389 T^{7} + 3078654123 T^{8} + 30368747261 T^{9} + 289271481384 T^{10} + 2585269937382 T^{11} + 22339677863663 T^{12} + 182354038243299 T^{13} + 1440211099667985 T^{14} + 10758888256354641 T^{15} + 77764418643410903 T^{16} + 530960154469577778 T^{17} + 3505206966934707624 T^{18} + 21711355347078595039 T^{19} + \)\(12\!\cdots\!43\)\( T^{20} + \)\(71\!\cdots\!91\)\( T^{21} + \)\(38\!\cdots\!41\)\( T^{22} + \)\(18\!\cdots\!42\)\( T^{23} + \)\(81\!\cdots\!30\)\( T^{24} + \)\(30\!\cdots\!97\)\( T^{25} + \)\(10\!\cdots\!48\)\( T^{26} + \)\(25\!\cdots\!96\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 24 T + 608 T^{2} + 10083 T^{3} + 158930 T^{4} + 2078978 T^{5} + 25891621 T^{6} + 287913389 T^{7} + 3078654123 T^{8} + 30368747261 T^{9} + 289271481384 T^{10} + 2585269937382 T^{11} + 22339677863663 T^{12} + 182354038243299 T^{13} + 1440211099667985 T^{14} + 10758888256354641 T^{15} + 77764418643410903 T^{16} + 530960154469577778 T^{17} + 3505206966934707624 T^{18} + 21711355347078595039 T^{19} + \)\(12\!\cdots\!43\)\( T^{20} + \)\(71\!\cdots\!91\)\( T^{21} + \)\(38\!\cdots\!41\)\( T^{22} + \)\(18\!\cdots\!42\)\( T^{23} + \)\(81\!\cdots\!30\)\( T^{24} + \)\(30\!\cdots\!97\)\( T^{25} + \)\(10\!\cdots\!48\)\( T^{26} + \)\(25\!\cdots\!96\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 22 T + 614 T^{2} + 9721 T^{3} + 169952 T^{4} + 2196912 T^{5} + 29980987 T^{6} + 333692017 T^{7} + 3847134473 T^{8} + 37895606369 T^{9} + 382954251456 T^{10} + 3387468788676 T^{11} + 30588576474205 T^{12} + 244652170345875 T^{13} + 1993147423237107 T^{14} + 14434478050406625 T^{15} + 106478834706707605 T^{16} + 695714952349488204 T^{17} + 4640394911377127616 T^{18} + 27092489818537260331 T^{19} + \)\(16\!\cdots\!93\)\( T^{20} + \)\(83\!\cdots\!23\)\( T^{21} + \)\(44\!\cdots\!27\)\( T^{22} + \)\(19\!\cdots\!68\)\( T^{23} + \)\(86\!\cdots\!52\)\( T^{24} + \)\(29\!\cdots\!39\)\( T^{25} + \)\(10\!\cdots\!34\)\( T^{26} + \)\(23\!\cdots\!38\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))
$61$ (\( 1 + 14 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 102 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 58 T^{2} + 3721 T^{4} \))(\( 1 - 10 T + 137 T^{2} - 726 T^{3} + 8357 T^{4} - 37210 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 887 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 + 7 T + 190 T^{2} + 984 T^{3} + 15464 T^{4} + 60024 T^{5} + 706990 T^{6} + 1588867 T^{7} + 13845841 T^{8} \))(\( 1 - T + 76 T^{2} - 168 T^{3} + 6712 T^{4} - 10248 T^{5} + 282796 T^{6} - 226981 T^{7} + 13845841 T^{8} \))(\( 1 + 17 T + 304 T^{2} + 2996 T^{3} + 29488 T^{4} + 182756 T^{5} + 1131184 T^{6} + 3858677 T^{7} + 13845841 T^{8} \))(\( 1 - T + 234 T^{2} - 170 T^{3} + 21104 T^{4} - 10370 T^{5} + 870714 T^{6} - 226981 T^{7} + 13845841 T^{8} \))(\( 1 + 18 T + 339 T^{2} + 3954 T^{3} + 43744 T^{4} + 348488 T^{5} + 2668384 T^{6} + 14712834 T^{7} + 76946559 T^{8} + 249225138 T^{9} + 844596301 T^{10} \))(\( 1 + 21 T + 405 T^{2} + 4851 T^{3} + 53432 T^{4} + 434312 T^{5} + 3259352 T^{6} + 18050571 T^{7} + 91927305 T^{8} + 290762661 T^{9} + 844596301 T^{10} \))(\( 1 - 7 T + 259 T^{2} - 1417 T^{3} + 29142 T^{4} - 123032 T^{5} + 1777662 T^{6} - 5272657 T^{7} + 58788079 T^{8} - 96920887 T^{9} + 844596301 T^{10} \))(\( 1 + 6 T + 156 T^{2} + 1025 T^{3} + 19201 T^{4} + 111096 T^{5} + 1701891 T^{6} + 8894564 T^{7} + 113263297 T^{8} + 542568404 T^{9} + 6332736411 T^{10} + 25216681176 T^{11} + 265853993041 T^{12} + 865711208525 T^{13} + 8037178400316 T^{14} + 18856457016126 T^{15} + 191707312997281 T^{16} \))(\( 1 + 7 T + 224 T^{2} + 1286 T^{3} + 20480 T^{4} + 103824 T^{5} + 1113080 T^{6} + 6058615 T^{7} + 57316462 T^{8} + 369575515 T^{9} + 4141770680 T^{10} + 23566075344 T^{11} + 283562823680 T^{12} + 1086150843086 T^{13} + 11540563856864 T^{14} + 21999199852147 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 404 T^{2} - 2889 T^{3} + 76073 T^{4} - 473002 T^{5} + 8636309 T^{6} - 45493588 T^{7} + 643227315 T^{8} - 2775108868 T^{9} + 32135705789 T^{10} - 107362466962 T^{11} + 1053294662393 T^{12} - 2440038713589 T^{13} + 20814231241844 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 404 T^{2} - 2889 T^{3} + 76073 T^{4} - 473002 T^{5} + 8636309 T^{6} - 45493588 T^{7} + 643227315 T^{8} - 2775108868 T^{9} + 32135705789 T^{10} - 107362466962 T^{11} + 1053294662393 T^{12} - 2440038713589 T^{13} + 20814231241844 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} \))(\( 1 + 6 T + 156 T^{2} + 1025 T^{3} + 19201 T^{4} + 111096 T^{5} + 1701891 T^{6} + 8894564 T^{7} + 113263297 T^{8} + 542568404 T^{9} + 6332736411 T^{10} + 25216681176 T^{11} + 265853993041 T^{12} + 865711208525 T^{13} + 8037178400316 T^{14} + 18856457016126 T^{15} + 191707312997281 T^{16} \))(\( 1 - 8 T + 535 T^{2} - 4494 T^{3} + 140094 T^{4} - 1173188 T^{5} + 23726874 T^{6} - 189410822 T^{7} + 2879329515 T^{8} - 21162096094 T^{9} + 261954953003 T^{10} - 1727032895578 T^{11} + 18222879036420 T^{12} - 105349006630258 T^{13} + 974734380124163 T^{14} - 4803393733512214 T^{15} + 39866738651297115 T^{16} - 159975679630569422 T^{17} + 1222417430896277514 T^{18} - 3687028182305804948 T^{19} + 26857044307041084414 T^{20} - 52553492541196629654 T^{21} + \)\(38\!\cdots\!35\)\( T^{22} - \)\(34\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 8 T + 535 T^{2} - 4494 T^{3} + 140094 T^{4} - 1173188 T^{5} + 23726874 T^{6} - 189410822 T^{7} + 2879329515 T^{8} - 21162096094 T^{9} + 261954953003 T^{10} - 1727032895578 T^{11} + 18222879036420 T^{12} - 105349006630258 T^{13} + 974734380124163 T^{14} - 4803393733512214 T^{15} + 39866738651297115 T^{16} - 159975679630569422 T^{17} + 1222417430896277514 T^{18} - 3687028182305804948 T^{19} + 26857044307041084414 T^{20} - 52553492541196629654 T^{21} + \)\(38\!\cdots\!35\)\( T^{22} - \)\(34\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 8 T + 526 T^{2} + 4031 T^{3} + 137780 T^{4} + 1022326 T^{5} + 23833533 T^{6} + 171989587 T^{7} + 3049610443 T^{8} + 21304378998 T^{9} + 306010094100 T^{10} + 2042085853071 T^{11} + 24878939119392 T^{12} + 155308290678935 T^{13} + 1667120075729314 T^{14} + 9473805731415035 T^{15} + 92574532463257632 T^{16} + 463514689015908651 T^{17} + 4236967107303638100 T^{18} + 17993599696812886398 T^{19} + \)\(15\!\cdots\!23\)\( T^{20} + \)\(54\!\cdots\!27\)\( T^{21} + \)\(45\!\cdots\!73\)\( T^{22} + \)\(11\!\cdots\!66\)\( T^{23} + \)\(98\!\cdots\!80\)\( T^{24} + \)\(17\!\cdots\!91\)\( T^{25} + \)\(13\!\cdots\!46\)\( T^{26} + \)\(12\!\cdots\!48\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 6 T + 338 T^{2} + 2325 T^{3} + 53576 T^{4} + 388762 T^{5} + 5396527 T^{6} + 38481445 T^{7} + 411017829 T^{8} + 2750062490 T^{9} + 28025837788 T^{10} + 176522824439 T^{11} + 1890525358402 T^{12} + 11391003929697 T^{13} + 121195392493670 T^{14} + 694851239711517 T^{15} + 7034644858613842 T^{16} + 40067327213988659 T^{17} + 388041293904439708 T^{18} + 2322692606572849490 T^{19} + 21175792419125482269 T^{20} + \)\(12\!\cdots\!45\)\( T^{21} + \)\(10\!\cdots\!87\)\( T^{22} + \)\(45\!\cdots\!42\)\( T^{23} + \)\(38\!\cdots\!76\)\( T^{24} + \)\(10\!\cdots\!25\)\( T^{25} + \)\(89\!\cdots\!98\)\( T^{26} + \)\(97\!\cdots\!86\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 6 T + 338 T^{2} + 2325 T^{3} + 53576 T^{4} + 388762 T^{5} + 5396527 T^{6} + 38481445 T^{7} + 411017829 T^{8} + 2750062490 T^{9} + 28025837788 T^{10} + 176522824439 T^{11} + 1890525358402 T^{12} + 11391003929697 T^{13} + 121195392493670 T^{14} + 694851239711517 T^{15} + 7034644858613842 T^{16} + 40067327213988659 T^{17} + 388041293904439708 T^{18} + 2322692606572849490 T^{19} + 21175792419125482269 T^{20} + \)\(12\!\cdots\!45\)\( T^{21} + \)\(10\!\cdots\!87\)\( T^{22} + \)\(45\!\cdots\!42\)\( T^{23} + \)\(38\!\cdots\!76\)\( T^{24} + \)\(10\!\cdots\!25\)\( T^{25} + \)\(89\!\cdots\!98\)\( T^{26} + \)\(97\!\cdots\!86\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 8 T + 526 T^{2} + 4031 T^{3} + 137780 T^{4} + 1022326 T^{5} + 23833533 T^{6} + 171989587 T^{7} + 3049610443 T^{8} + 21304378998 T^{9} + 306010094100 T^{10} + 2042085853071 T^{11} + 24878939119392 T^{12} + 155308290678935 T^{13} + 1667120075729314 T^{14} + 9473805731415035 T^{15} + 92574532463257632 T^{16} + 463514689015908651 T^{17} + 4236967107303638100 T^{18} + 17993599696812886398 T^{19} + \)\(15\!\cdots\!23\)\( T^{20} + \)\(54\!\cdots\!27\)\( T^{21} + \)\(45\!\cdots\!73\)\( T^{22} + \)\(11\!\cdots\!66\)\( T^{23} + \)\(98\!\cdots\!80\)\( T^{24} + \)\(17\!\cdots\!91\)\( T^{25} + \)\(13\!\cdots\!46\)\( T^{26} + \)\(12\!\cdots\!48\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 2 T + 130 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( 1 - 2 T + 10 T^{2} - 134 T^{3} + 4489 T^{4} \))(\( 1 + 16 T + 193 T^{2} + 1468 T^{3} + 12931 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 + 13 T + 185 T^{2} + 1365 T^{3} + 12395 T^{4} + 58357 T^{5} + 300763 T^{6} \))(\( 1 + 15 T + 182 T^{2} + 1634 T^{3} + 14382 T^{4} + 109478 T^{5} + 816998 T^{6} + 4511445 T^{7} + 20151121 T^{8} \))(\( 1 - 5 T + 264 T^{2} - 984 T^{3} + 26394 T^{4} - 65928 T^{5} + 1185096 T^{6} - 1503815 T^{7} + 20151121 T^{8} \))(\( 1 + 5 T + 154 T^{2} + 26 T^{3} + 9622 T^{4} + 1742 T^{5} + 691306 T^{6} + 1503815 T^{7} + 20151121 T^{8} \))(\( 1 - 31 T + 578 T^{2} - 7134 T^{3} + 67506 T^{4} - 477978 T^{5} + 2594642 T^{6} - 9323653 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T + 35 T^{2} + 204 T^{3} + 6790 T^{4} - 16644 T^{5} + 454930 T^{6} + 915756 T^{7} + 10526705 T^{8} - 40302242 T^{9} + 1350125107 T^{10} \))(\( 1 + 5 T + 191 T^{2} + 1087 T^{3} + 21248 T^{4} + 94260 T^{5} + 1423616 T^{6} + 4879543 T^{7} + 57445733 T^{8} + 100755605 T^{9} + 1350125107 T^{10} \))(\( 1 - 35 T + 785 T^{2} - 11891 T^{3} + 140386 T^{4} - 1278568 T^{5} + 9405862 T^{6} - 53378699 T^{7} + 236098955 T^{8} - 705289235 T^{9} + 1350125107 T^{10} \))(\( 1 + 23 T + 411 T^{2} + 5199 T^{3} + 61873 T^{4} + 653083 T^{5} + 6639648 T^{6} + 60135256 T^{7} + 519181851 T^{8} + 4029062152 T^{9} + 29805379872 T^{10} + 196423202329 T^{11} + 1246810309633 T^{12} + 7019300431293 T^{13} + 37178395071459 T^{14} + 139396366922429 T^{15} + 406067677556641 T^{16} \))(\( 1 + 11 T + 274 T^{2} + 2206 T^{3} + 32906 T^{4} + 190468 T^{5} + 2318198 T^{6} + 10429181 T^{7} + 142198330 T^{8} + 698755127 T^{9} + 10406390822 T^{10} + 57285727084 T^{11} + 663092787626 T^{12} + 2978375986042 T^{13} + 24785596714306 T^{14} + 66667827658553 T^{15} + 406067677556641 T^{16} \))(\( 1 + 21 T + 559 T^{2} + 7909 T^{3} + 124053 T^{4} + 1337889 T^{5} + 15557612 T^{6} + 135484528 T^{7} + 1266969303 T^{8} + 9077463376 T^{9} + 69838120268 T^{10} + 402387509307 T^{11} + 2499807013413 T^{12} + 10678139471263 T^{13} + 50566235632471 T^{14} + 127274943711783 T^{15} + 406067677556641 T^{16} \))(\( 1 - 21 T + 559 T^{2} - 7909 T^{3} + 124053 T^{4} - 1337889 T^{5} + 15557612 T^{6} - 135484528 T^{7} + 1266969303 T^{8} - 9077463376 T^{9} + 69838120268 T^{10} - 402387509307 T^{11} + 2499807013413 T^{12} - 10678139471263 T^{13} + 50566235632471 T^{14} - 127274943711783 T^{15} + 406067677556641 T^{16} \))(\( 1 - 23 T + 411 T^{2} - 5199 T^{3} + 61873 T^{4} - 653083 T^{5} + 6639648 T^{6} - 60135256 T^{7} + 519181851 T^{8} - 4029062152 T^{9} + 29805379872 T^{10} - 196423202329 T^{11} + 1246810309633 T^{12} - 7019300431293 T^{13} + 37178395071459 T^{14} - 139396366922429 T^{15} + 406067677556641 T^{16} \))(\( 1 + 38 T + 1149 T^{2} + 24514 T^{3} + 454030 T^{4} + 7065866 T^{5} + 99332140 T^{6} + 1242394940 T^{7} + 14332969401 T^{8} + 150908335254 T^{9} + 1482069378827 T^{10} + 13442018585536 T^{11} + 114292032364392 T^{12} + 900615245230912 T^{13} + 6653009441554403 T^{14} + 45387643635998802 T^{15} + 288825400688848521 T^{16} + 1677388601303758580 T^{17} + 8985424681784611660 T^{18} + 42824176067857204718 T^{19} + \)\(18\!\cdots\!30\)\( T^{20} + \)\(66\!\cdots\!58\)\( T^{21} + \)\(20\!\cdots\!01\)\( T^{22} + \)\(46\!\cdots\!54\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 38 T + 1149 T^{2} - 24514 T^{3} + 454030 T^{4} - 7065866 T^{5} + 99332140 T^{6} - 1242394940 T^{7} + 14332969401 T^{8} - 150908335254 T^{9} + 1482069378827 T^{10} - 13442018585536 T^{11} + 114292032364392 T^{12} - 900615245230912 T^{13} + 6653009441554403 T^{14} - 45387643635998802 T^{15} + 288825400688848521 T^{16} - 1677388601303758580 T^{17} + 8985424681784611660 T^{18} - 42824176067857204718 T^{19} + \)\(18\!\cdots\!30\)\( T^{20} - \)\(66\!\cdots\!58\)\( T^{21} + \)\(20\!\cdots\!01\)\( T^{22} - \)\(46\!\cdots\!54\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 39 T + 1009 T^{2} + 18287 T^{3} + 273624 T^{4} + 3409810 T^{5} + 38266001 T^{6} + 386317903 T^{7} + 3713668585 T^{8} + 33551472462 T^{9} + 298538213605 T^{10} + 2551754474434 T^{11} + 21842282044670 T^{12} + 180850389231113 T^{13} + 1505220801615634 T^{14} + 12116976078484571 T^{15} + 98050004098523630 T^{16} + 767473330994193142 T^{17} + 6015879665478201205 T^{18} + 45298685347765303434 T^{19} + \)\(33\!\cdots\!65\)\( T^{20} + \)\(23\!\cdots\!69\)\( T^{21} + \)\(15\!\cdots\!41\)\( T^{22} + \)\(92\!\cdots\!70\)\( T^{23} + \)\(49\!\cdots\!76\)\( T^{24} + \)\(22\!\cdots\!21\)\( T^{25} + \)\(82\!\cdots\!49\)\( T^{26} + \)\(21\!\cdots\!93\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 + 61 T + 2421 T^{2} + 70493 T^{3} + 1678132 T^{4} + 33783902 T^{5} + 594403169 T^{6} + 9280668101 T^{7} + 130520603593 T^{8} + 1666814817226 T^{9} + 19482287693337 T^{10} + 209325348319550 T^{11} + 2076314918972930 T^{12} + 19049840366825643 T^{13} + 161975474676955394 T^{14} + 1276339304577318081 T^{15} + 9320577671269482770 T^{16} + 62957319736632816650 T^{17} + \)\(39\!\cdots\!77\)\( T^{18} + \)\(22\!\cdots\!82\)\( T^{19} + \)\(11\!\cdots\!17\)\( T^{20} + \)\(56\!\cdots\!23\)\( T^{21} + \)\(24\!\cdots\!29\)\( T^{22} + \)\(91\!\cdots\!94\)\( T^{23} + \)\(30\!\cdots\!68\)\( T^{24} + \)\(86\!\cdots\!19\)\( T^{25} + \)\(19\!\cdots\!81\)\( T^{26} + \)\(33\!\cdots\!07\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 61 T + 2421 T^{2} - 70493 T^{3} + 1678132 T^{4} - 33783902 T^{5} + 594403169 T^{6} - 9280668101 T^{7} + 130520603593 T^{8} - 1666814817226 T^{9} + 19482287693337 T^{10} - 209325348319550 T^{11} + 2076314918972930 T^{12} - 19049840366825643 T^{13} + 161975474676955394 T^{14} - 1276339304577318081 T^{15} + 9320577671269482770 T^{16} - 62957319736632816650 T^{17} + \)\(39\!\cdots\!77\)\( T^{18} - \)\(22\!\cdots\!82\)\( T^{19} + \)\(11\!\cdots\!17\)\( T^{20} - \)\(56\!\cdots\!23\)\( T^{21} + \)\(24\!\cdots\!29\)\( T^{22} - \)\(91\!\cdots\!94\)\( T^{23} + \)\(30\!\cdots\!68\)\( T^{24} - \)\(86\!\cdots\!19\)\( T^{25} + \)\(19\!\cdots\!81\)\( T^{26} - \)\(33\!\cdots\!07\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 39 T + 1009 T^{2} - 18287 T^{3} + 273624 T^{4} - 3409810 T^{5} + 38266001 T^{6} - 386317903 T^{7} + 3713668585 T^{8} - 33551472462 T^{9} + 298538213605 T^{10} - 2551754474434 T^{11} + 21842282044670 T^{12} - 180850389231113 T^{13} + 1505220801615634 T^{14} - 12116976078484571 T^{15} + 98050004098523630 T^{16} - 767473330994193142 T^{17} + 6015879665478201205 T^{18} - 45298685347765303434 T^{19} + \)\(33\!\cdots\!65\)\( T^{20} - \)\(23\!\cdots\!69\)\( T^{21} + \)\(15\!\cdots\!41\)\( T^{22} - \)\(92\!\cdots\!70\)\( T^{23} + \)\(49\!\cdots\!76\)\( T^{24} - \)\(22\!\cdots\!21\)\( T^{25} + \)\(82\!\cdots\!49\)\( T^{26} - \)\(21\!\cdots\!93\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))
$71$ (\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 141 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 201 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 133 T^{2} - 504 T^{3} + 9443 T^{4} - 20164 T^{5} + 357911 T^{6} \))(\( 1 + 16 T + 198 T^{2} + 1809 T^{3} + 14058 T^{4} + 80656 T^{5} + 357911 T^{6} \))(\( 1 + 213 T^{2} - 199 T^{3} + 20156 T^{4} - 14129 T^{5} + 1073733 T^{6} + 25411681 T^{8} \))(\( 1 + 8 T - 15 T^{2} - 323 T^{3} + 964 T^{4} - 22933 T^{5} - 75615 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 - 20 T + 293 T^{2} - 2987 T^{3} + 28828 T^{4} - 212077 T^{5} + 1477013 T^{6} - 7158220 T^{7} + 25411681 T^{8} \))(\( 1 + 8 T + 281 T^{2} + 1677 T^{3} + 29804 T^{4} + 119067 T^{5} + 1416521 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 254 T^{2} - 860 T^{3} + 30833 T^{4} - 86976 T^{5} + 2189143 T^{6} - 4335260 T^{7} + 90909394 T^{8} - 101646724 T^{9} + 1804229351 T^{10} \))(\( 1 + 16 T + 367 T^{2} + 4221 T^{3} + 52733 T^{4} + 439265 T^{5} + 3744043 T^{6} + 21278061 T^{7} + 131353337 T^{8} + 406586896 T^{9} + 1804229351 T^{10} \))(\( 1 + 32 T + 619 T^{2} + 8265 T^{3} + 88661 T^{4} + 796645 T^{5} + 6294931 T^{6} + 41663865 T^{7} + 221546909 T^{8} + 813173792 T^{9} + 1804229351 T^{10} \))(\( 1 - 3 T + 313 T^{2} - 317 T^{3} + 49061 T^{4} - 8243 T^{5} + 5430652 T^{6} - 422566 T^{7} + 449286567 T^{8} - 30002186 T^{9} + 27375916732 T^{10} - 2950260373 T^{11} + 1246722481541 T^{12} - 571940704267 T^{13} + 40095388867273 T^{14} - 27285360475173 T^{15} + 645753531245761 T^{16} \))(\( 1 - 8 T + 180 T^{2} - 1131 T^{3} + 24643 T^{4} - 164934 T^{5} + 2608896 T^{6} - 14487455 T^{7} + 197532400 T^{8} - 1028609305 T^{9} + 13151444736 T^{10} - 59031692874 T^{11} + 626220054883 T^{12} - 2040583395981 T^{13} + 23058051105780 T^{14} - 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( 1 - 11 T + 393 T^{2} - 3817 T^{3} + 76733 T^{4} - 635255 T^{5} + 9436196 T^{6} - 66559266 T^{7} + 796900451 T^{8} - 4725707886 T^{9} + 47567864036 T^{10} - 227364752305 T^{11} + 1949914518173 T^{12} - 6886743432767 T^{13} + 50343411580953 T^{14} - 100046321742301 T^{15} + 645753531245761 T^{16} \))(\( 1 - 11 T + 393 T^{2} - 3817 T^{3} + 76733 T^{4} - 635255 T^{5} + 9436196 T^{6} - 66559266 T^{7} + 796900451 T^{8} - 4725707886 T^{9} + 47567864036 T^{10} - 227364752305 T^{11} + 1949914518173 T^{12} - 6886743432767 T^{13} + 50343411580953 T^{14} - 100046321742301 T^{15} + 645753531245761 T^{16} \))(\( 1 - 3 T + 313 T^{2} - 317 T^{3} + 49061 T^{4} - 8243 T^{5} + 5430652 T^{6} - 422566 T^{7} + 449286567 T^{8} - 30002186 T^{9} + 27375916732 T^{10} - 2950260373 T^{11} + 1246722481541 T^{12} - 571940704267 T^{13} + 40095388867273 T^{14} - 27285360475173 T^{15} + 645753531245761 T^{16} \))(\( 1 + 24 T + 784 T^{2} + 14490 T^{3} + 280248 T^{4} + 4197644 T^{5} + 61318753 T^{6} + 768898944 T^{7} + 9221912504 T^{8} + 98820077666 T^{9} + 1008817898632 T^{10} + 9347436776276 T^{11} + 82499882792140 T^{12} + 663668011115596 T^{13} + 5085451027003912 T^{14} + 35368792817515726 T^{15} + 234344298761559224 T^{16} + 1387270042717705344 T^{17} + 7854949668981670513 T^{18} + 38178076562149030804 T^{19} + \)\(18\!\cdots\!28\)\( T^{20} + \)\(66\!\cdots\!90\)\( T^{21} + \)\(25\!\cdots\!84\)\( T^{22} + \)\(55\!\cdots\!04\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 24 T + 784 T^{2} + 14490 T^{3} + 280248 T^{4} + 4197644 T^{5} + 61318753 T^{6} + 768898944 T^{7} + 9221912504 T^{8} + 98820077666 T^{9} + 1008817898632 T^{10} + 9347436776276 T^{11} + 82499882792140 T^{12} + 663668011115596 T^{13} + 5085451027003912 T^{14} + 35368792817515726 T^{15} + 234344298761559224 T^{16} + 1387270042717705344 T^{17} + 7854949668981670513 T^{18} + 38178076562149030804 T^{19} + \)\(18\!\cdots\!28\)\( T^{20} + \)\(66\!\cdots\!90\)\( T^{21} + \)\(25\!\cdots\!84\)\( T^{22} + \)\(55\!\cdots\!04\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 5 T + 301 T^{2} + 887 T^{3} + 47257 T^{4} + 105001 T^{5} + 5092609 T^{6} + 8882415 T^{7} + 362758064 T^{8} + 426597757 T^{9} + 15099109549 T^{10} + 10059265392 T^{11} + 54382732686 T^{12} - 650360712684 T^{13} - 31591977346715 T^{14} - 46175610600564 T^{15} + 274143355470126 T^{16} + 3600321735716112 T^{17} + 383693755243241869 T^{18} + 769680194250165707 T^{19} + 46469410993032288944 T^{20} + 80786631721694594265 T^{21} + \)\(32\!\cdots\!49\)\( T^{22} + \)\(48\!\cdots\!31\)\( T^{23} + \)\(15\!\cdots\!57\)\( T^{24} + \)\(20\!\cdots\!77\)\( T^{25} + \)\(49\!\cdots\!41\)\( T^{26} + \)\(58\!\cdots\!55\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 - 11 T + 485 T^{2} - 4693 T^{3} + 125337 T^{4} - 1125339 T^{5} + 22710833 T^{6} - 189790693 T^{7} + 3161856556 T^{8} - 24639829899 T^{9} + 354752247773 T^{10} - 2568996107968 T^{11} + 32864019371742 T^{12} - 219990301067060 T^{13} + 2546955729242985 T^{14} - 15619311375761260 T^{15} + 165667521652951422 T^{16} - 919471965998934848 T^{17} + 9014850954440436413 T^{18} - 44455904307423165549 T^{19} + \)\(40\!\cdots\!76\)\( T^{20} - \)\(17\!\cdots\!63\)\( T^{21} + \)\(14\!\cdots\!13\)\( T^{22} - \)\(51\!\cdots\!09\)\( T^{23} + \)\(40\!\cdots\!37\)\( T^{24} - \)\(10\!\cdots\!03\)\( T^{25} + \)\(79\!\cdots\!85\)\( T^{26} - \)\(12\!\cdots\!21\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 - 11 T + 485 T^{2} - 4693 T^{3} + 125337 T^{4} - 1125339 T^{5} + 22710833 T^{6} - 189790693 T^{7} + 3161856556 T^{8} - 24639829899 T^{9} + 354752247773 T^{10} - 2568996107968 T^{11} + 32864019371742 T^{12} - 219990301067060 T^{13} + 2546955729242985 T^{14} - 15619311375761260 T^{15} + 165667521652951422 T^{16} - 919471965998934848 T^{17} + 9014850954440436413 T^{18} - 44455904307423165549 T^{19} + \)\(40\!\cdots\!76\)\( T^{20} - \)\(17\!\cdots\!63\)\( T^{21} + \)\(14\!\cdots\!13\)\( T^{22} - \)\(51\!\cdots\!09\)\( T^{23} + \)\(40\!\cdots\!37\)\( T^{24} - \)\(10\!\cdots\!03\)\( T^{25} + \)\(79\!\cdots\!85\)\( T^{26} - \)\(12\!\cdots\!21\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 5 T + 301 T^{2} + 887 T^{3} + 47257 T^{4} + 105001 T^{5} + 5092609 T^{6} + 8882415 T^{7} + 362758064 T^{8} + 426597757 T^{9} + 15099109549 T^{10} + 10059265392 T^{11} + 54382732686 T^{12} - 650360712684 T^{13} - 31591977346715 T^{14} - 46175610600564 T^{15} + 274143355470126 T^{16} + 3600321735716112 T^{17} + 383693755243241869 T^{18} + 769680194250165707 T^{19} + 46469410993032288944 T^{20} + 80786631721694594265 T^{21} + \)\(32\!\cdots\!49\)\( T^{22} + \)\(48\!\cdots\!31\)\( T^{23} + \)\(15\!\cdots\!57\)\( T^{24} + \)\(20\!\cdots\!77\)\( T^{25} + \)\(49\!\cdots\!41\)\( T^{26} + \)\(58\!\cdots\!55\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))
$73$ (\( 1 - 6 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( ( 1 + 9 T + 73 T^{2} )^{2} \))(\( 1 + 101 T^{2} + 5329 T^{4} \))(\( 1 - 6 T + 111 T^{2} - 660 T^{3} + 8103 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 - 9 T + 197 T^{2} - 1285 T^{3} + 14381 T^{4} - 47961 T^{5} + 389017 T^{6} \))(\( 1 + 3 T + 122 T^{2} + 960 T^{3} + 8920 T^{4} + 70080 T^{5} + 650138 T^{6} + 1167051 T^{7} + 28398241 T^{8} \))(\( 1 + 3 T + 108 T^{2} + 542 T^{3} + 12212 T^{4} + 39566 T^{5} + 575532 T^{6} + 1167051 T^{7} + 28398241 T^{8} \))(\( 1 - 15 T + 190 T^{2} - 1950 T^{3} + 20478 T^{4} - 142350 T^{5} + 1012510 T^{6} - 5835255 T^{7} + 28398241 T^{8} \))(\( 1 + 25 T + 446 T^{2} + 5146 T^{3} + 50676 T^{4} + 375658 T^{5} + 2376734 T^{6} + 9725425 T^{7} + 28398241 T^{8} \))(\( 1 - 2 T + 168 T^{2} - 946 T^{3} + 18175 T^{4} - 89144 T^{5} + 1326775 T^{6} - 5041234 T^{7} + 65354856 T^{8} - 56796482 T^{9} + 2073071593 T^{10} \))(\( 1 + T + 150 T^{2} + 302 T^{3} + 16641 T^{4} + 10797 T^{5} + 1214793 T^{6} + 1609358 T^{7} + 58352550 T^{8} + 28398241 T^{9} + 2073071593 T^{10} \))(\( 1 - 7 T + 276 T^{2} - 984 T^{3} + 30101 T^{4} - 64761 T^{5} + 2197373 T^{6} - 5243736 T^{7} + 107368692 T^{8} - 198787687 T^{9} + 2073071593 T^{10} \))(\( 1 - 8 T + 242 T^{2} - 1479 T^{3} + 32419 T^{4} - 179732 T^{5} + 3196385 T^{6} - 16886574 T^{7} + 259809365 T^{8} - 1232719902 T^{9} + 17033535665 T^{10} - 69918803444 T^{11} + 920642574979 T^{12} - 3066072886047 T^{13} + 36622882761938 T^{14} - 88379188152776 T^{15} + 806460091894081 T^{16} \))(\( 1 - 3 T + 269 T^{2} - 1309 T^{3} + 40920 T^{4} - 215618 T^{5} + 4537865 T^{6} - 22059098 T^{7} + 378794378 T^{8} - 1610314154 T^{9} + 24182282585 T^{10} - 83879067506 T^{11} + 1162056021720 T^{12} - 2713650715237 T^{13} + 40708906871741 T^{14} - 33142195557291 T^{15} + 806460091894081 T^{16} \))(\( 1 + 26 T + 716 T^{2} + 12063 T^{3} + 196639 T^{4} + 2464044 T^{5} + 29416957 T^{6} + 289161782 T^{7} + 2699414091 T^{8} + 21108810086 T^{9} + 156762963853 T^{10} + 958555004748 T^{11} + 5584201711999 T^{12} + 25007462626359 T^{13} + 108355306022924 T^{14} + 287232361496522 T^{15} + 806460091894081 T^{16} \))(\( 1 - 26 T + 716 T^{2} - 12063 T^{3} + 196639 T^{4} - 2464044 T^{5} + 29416957 T^{6} - 289161782 T^{7} + 2699414091 T^{8} - 21108810086 T^{9} + 156762963853 T^{10} - 958555004748 T^{11} + 5584201711999 T^{12} - 25007462626359 T^{13} + 108355306022924 T^{14} - 287232361496522 T^{15} + 806460091894081 T^{16} \))(\( 1 + 8 T + 242 T^{2} + 1479 T^{3} + 32419 T^{4} + 179732 T^{5} + 3196385 T^{6} + 16886574 T^{7} + 259809365 T^{8} + 1232719902 T^{9} + 17033535665 T^{10} + 69918803444 T^{11} + 920642574979 T^{12} + 3066072886047 T^{13} + 36622882761938 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16} \))(\( 1 - 14 T + 389 T^{2} - 4160 T^{3} + 66639 T^{4} - 553494 T^{5} + 7090493 T^{6} - 47822356 T^{7} + 554889109 T^{8} - 3067431698 T^{9} + 35193699921 T^{10} - 160607916420 T^{11} + 2266296169786 T^{12} - 11724377898660 T^{13} + 187547226879009 T^{14} - 1193283076860866 T^{15} + 15757874645657269 T^{16} - 99139167733933108 T^{17} + 1073034272162570477 T^{18} - 6114668795929074918 T^{19} + 53741694063729663759 T^{20} - \)\(24\!\cdots\!80\)\( T^{21} + \)\(16\!\cdots\!61\)\( T^{22} - \)\(43\!\cdots\!78\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 14 T + 389 T^{2} + 4160 T^{3} + 66639 T^{4} + 553494 T^{5} + 7090493 T^{6} + 47822356 T^{7} + 554889109 T^{8} + 3067431698 T^{9} + 35193699921 T^{10} + 160607916420 T^{11} + 2266296169786 T^{12} + 11724377898660 T^{13} + 187547226879009 T^{14} + 1193283076860866 T^{15} + 15757874645657269 T^{16} + 99139167733933108 T^{17} + 1073034272162570477 T^{18} + 6114668795929074918 T^{19} + 53741694063729663759 T^{20} + \)\(24\!\cdots\!80\)\( T^{21} + \)\(16\!\cdots\!61\)\( T^{22} + \)\(43\!\cdots\!78\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 18 T + 596 T^{2} + 7217 T^{3} + 150439 T^{4} + 1482612 T^{5} + 25965976 T^{6} + 230470980 T^{7} + 3558209497 T^{8} + 28542821925 T^{9} + 392859833814 T^{10} + 2878115746178 T^{11} + 36436831583161 T^{12} + 248126005750359 T^{13} + 2891953096870395 T^{14} + 18113198419776207 T^{15} + 194171875506664969 T^{16} + 1119635953230927026 T^{17} + 11156528239869921174 T^{18} + 59171313316775076525 T^{19} + \)\(53\!\cdots\!33\)\( T^{20} + \)\(25\!\cdots\!60\)\( T^{21} + \)\(20\!\cdots\!56\)\( T^{22} + \)\(87\!\cdots\!56\)\( T^{23} + \)\(64\!\cdots\!11\)\( T^{24} + \)\(22\!\cdots\!09\)\( T^{25} + \)\(13\!\cdots\!16\)\( T^{26} + \)\(30\!\cdots\!94\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 + 28 T + 870 T^{2} + 15771 T^{3} + 289787 T^{4} + 3900456 T^{5} + 52554836 T^{6} + 550404858 T^{7} + 5817654033 T^{8} + 47280069271 T^{9} + 400851669934 T^{10} + 2374590680106 T^{11} + 16903410188361 T^{12} + 66686657077971 T^{13} + 697274321398641 T^{14} + 4868125966691883 T^{15} + 90078272893775769 T^{16} + 923756142602795802 T^{17} + 11383482328038186094 T^{18} + 98014968520782318703 T^{19} + \)\(88\!\cdots\!37\)\( T^{20} + \)\(60\!\cdots\!26\)\( T^{21} + \)\(42\!\cdots\!16\)\( T^{22} + \)\(22\!\cdots\!28\)\( T^{23} + \)\(12\!\cdots\!63\)\( T^{24} + \)\(49\!\cdots\!67\)\( T^{25} + \)\(19\!\cdots\!70\)\( T^{26} + \)\(46\!\cdots\!24\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 28 T + 870 T^{2} - 15771 T^{3} + 289787 T^{4} - 3900456 T^{5} + 52554836 T^{6} - 550404858 T^{7} + 5817654033 T^{8} - 47280069271 T^{9} + 400851669934 T^{10} - 2374590680106 T^{11} + 16903410188361 T^{12} - 66686657077971 T^{13} + 697274321398641 T^{14} - 4868125966691883 T^{15} + 90078272893775769 T^{16} - 923756142602795802 T^{17} + 11383482328038186094 T^{18} - 98014968520782318703 T^{19} + \)\(88\!\cdots\!37\)\( T^{20} - \)\(60\!\cdots\!26\)\( T^{21} + \)\(42\!\cdots\!16\)\( T^{22} - \)\(22\!\cdots\!28\)\( T^{23} + \)\(12\!\cdots\!63\)\( T^{24} - \)\(49\!\cdots\!67\)\( T^{25} + \)\(19\!\cdots\!70\)\( T^{26} - \)\(46\!\cdots\!24\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 18 T + 596 T^{2} - 7217 T^{3} + 150439 T^{4} - 1482612 T^{5} + 25965976 T^{6} - 230470980 T^{7} + 3558209497 T^{8} - 28542821925 T^{9} + 392859833814 T^{10} - 2878115746178 T^{11} + 36436831583161 T^{12} - 248126005750359 T^{13} + 2891953096870395 T^{14} - 18113198419776207 T^{15} + 194171875506664969 T^{16} - 1119635953230927026 T^{17} + 11156528239869921174 T^{18} - 59171313316775076525 T^{19} + \)\(53\!\cdots\!33\)\( T^{20} - \)\(25\!\cdots\!60\)\( T^{21} + \)\(20\!\cdots\!56\)\( T^{22} - \)\(87\!\cdots\!56\)\( T^{23} + \)\(64\!\cdots\!11\)\( T^{24} - \)\(22\!\cdots\!09\)\( T^{25} + \)\(13\!\cdots\!16\)\( T^{26} - \)\(30\!\cdots\!94\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))
$79$ (\( 1 + 3 T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 - 22 T^{2} + 6241 T^{4} \))(\( 1 + 10 T + 178 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 245 T^{2} - 2100 T^{3} + 19355 T^{4} - 99856 T^{5} + 493039 T^{6} \))(\( 1 + 18 T + 282 T^{2} + 2493 T^{3} + 22278 T^{4} + 112338 T^{5} + 493039 T^{6} \))(\( 1 + 14 T + 319 T^{2} + 2683 T^{3} + 35728 T^{4} + 211957 T^{5} + 1990879 T^{6} + 6902546 T^{7} + 38950081 T^{8} \))(\( 1 + 169 T^{2} - 121 T^{3} + 17656 T^{4} - 9559 T^{5} + 1054729 T^{6} + 38950081 T^{8} \))(\( 1 - 12 T + 331 T^{2} - 2637 T^{3} + 39342 T^{4} - 208323 T^{5} + 2065771 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 19 T + 275 T^{2} + 3079 T^{3} + 31569 T^{4} + 243241 T^{5} + 1716275 T^{6} + 9367741 T^{7} + 38950081 T^{8} \))(\( 1 - 30 T + 703 T^{2} - 10676 T^{3} + 136374 T^{4} - 1310412 T^{5} + 10773546 T^{6} - 66628916 T^{7} + 346606417 T^{8} - 1168502430 T^{9} + 3077056399 T^{10} \))(\( 1 - 20 T + 426 T^{2} - 5881 T^{3} + 69513 T^{4} - 679554 T^{5} + 5491527 T^{6} - 36703321 T^{7} + 210034614 T^{8} - 779001620 T^{9} + 3077056399 T^{10} \))(\( 1 - 18 T + 376 T^{2} - 4711 T^{3} + 57271 T^{4} - 530898 T^{5} + 4524409 T^{6} - 29401351 T^{7} + 185382664 T^{8} - 701101458 T^{9} + 3077056399 T^{10} \))(\( 1 - 4 T + 560 T^{2} - 2142 T^{3} + 141251 T^{4} - 497005 T^{5} + 21068076 T^{6} - 64753492 T^{7} + 2039964787 T^{8} - 5115525868 T^{9} + 131485862316 T^{10} - 245042848195 T^{11} + 5501737891331 T^{12} - 6591054806658 T^{13} + 136128975091760 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 15 T + 229 T^{2} + 1061 T^{3} + 8607 T^{4} + 10105 T^{5} + 1259311 T^{6} + 12848707 T^{7} + 191850408 T^{8} + 1015047853 T^{9} + 7859359951 T^{10} + 4982159095 T^{11} + 335243347167 T^{12} + 3264756839339 T^{13} + 55667027314309 T^{14} + 288058634792385 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 16 T + 468 T^{2} + 5518 T^{3} + 90791 T^{4} + 852531 T^{5} + 10480272 T^{6} + 84705860 T^{7} + 905161519 T^{8} + 6691762940 T^{9} + 65407377552 T^{10} + 420331031709 T^{11} + 3536316804071 T^{12} + 16979197209682 T^{13} + 113764929183828 T^{14} + 307262543778544 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 16 T + 468 T^{2} + 5518 T^{3} + 90791 T^{4} + 852531 T^{5} + 10480272 T^{6} + 84705860 T^{7} + 905161519 T^{8} + 6691762940 T^{9} + 65407377552 T^{10} + 420331031709 T^{11} + 3536316804071 T^{12} + 16979197209682 T^{13} + 113764929183828 T^{14} + 307262543778544 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 4 T + 560 T^{2} - 2142 T^{3} + 141251 T^{4} - 497005 T^{5} + 21068076 T^{6} - 64753492 T^{7} + 2039964787 T^{8} - 5115525868 T^{9} + 131485862316 T^{10} - 245042848195 T^{11} + 5501737891331 T^{12} - 6591054806658 T^{13} + 136128975091760 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 44 T + 1394 T^{2} + 32652 T^{3} + 646501 T^{4} + 10969906 T^{5} + 165979585 T^{6} + 2258446966 T^{7} + 28109218637 T^{8} + 321722375442 T^{9} + 3414112084085 T^{10} + 33680849723590 T^{11} + 309968024368258 T^{12} + 2660787128163610 T^{13} + 21307473516774485 T^{14} + 158621678265548238 T^{15} + 1094856342757859597 T^{16} + 6949368688532435434 T^{17} + 40347554986081538785 T^{18} + \)\(21\!\cdots\!54\)\( T^{19} + \)\(98\!\cdots\!61\)\( T^{20} + \)\(39\!\cdots\!88\)\( T^{21} + \)\(13\!\cdots\!94\)\( T^{22} + \)\(32\!\cdots\!76\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 44 T + 1394 T^{2} + 32652 T^{3} + 646501 T^{4} + 10969906 T^{5} + 165979585 T^{6} + 2258446966 T^{7} + 28109218637 T^{8} + 321722375442 T^{9} + 3414112084085 T^{10} + 33680849723590 T^{11} + 309968024368258 T^{12} + 2660787128163610 T^{13} + 21307473516774485 T^{14} + 158621678265548238 T^{15} + 1094856342757859597 T^{16} + 6949368688532435434 T^{17} + 40347554986081538785 T^{18} + \)\(21\!\cdots\!54\)\( T^{19} + \)\(98\!\cdots\!61\)\( T^{20} + \)\(39\!\cdots\!88\)\( T^{21} + \)\(13\!\cdots\!94\)\( T^{22} + \)\(32\!\cdots\!76\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 10 T + 492 T^{2} - 4862 T^{3} + 133358 T^{4} - 1236539 T^{5} + 25248098 T^{6} - 217682804 T^{7} + 3684169111 T^{8} - 29521156037 T^{9} + 437078923458 T^{10} - 3258625021461 T^{11} + 43548923964458 T^{12} - 302143143647501 T^{13} + 3709096196507328 T^{14} - 23869308348152579 T^{15} + 271788834462182378 T^{16} - 1606629221956109979 T^{17} + 17024259472081900098 T^{18} - 90838262089528330763 T^{19} + \)\(89\!\cdots\!31\)\( T^{20} - \)\(41\!\cdots\!36\)\( T^{21} + \)\(38\!\cdots\!78\)\( T^{22} - \)\(14\!\cdots\!41\)\( T^{23} + \)\(12\!\cdots\!58\)\( T^{24} - \)\(36\!\cdots\!98\)\( T^{25} + \)\(29\!\cdots\!72\)\( T^{26} - \)\(46\!\cdots\!90\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 6 T + 520 T^{2} - 4426 T^{3} + 142954 T^{4} - 1459383 T^{5} + 28192858 T^{6} - 302539912 T^{7} + 4410079975 T^{8} - 45526968993 T^{9} + 563448300622 T^{10} - 5358116361729 T^{11} + 59262289453086 T^{12} - 512503429802565 T^{13} + 5148351823043328 T^{14} - 40487770954402635 T^{15} + 369855948476709726 T^{16} - 2641760332870504431 T^{17} + 21946356948539250382 T^{18} - \)\(14\!\cdots\!07\)\( T^{19} + \)\(10\!\cdots\!75\)\( T^{20} - \)\(58\!\cdots\!08\)\( T^{21} + \)\(42\!\cdots\!38\)\( T^{22} - \)\(17\!\cdots\!77\)\( T^{23} + \)\(13\!\cdots\!54\)\( T^{24} - \)\(33\!\cdots\!54\)\( T^{25} + \)\(30\!\cdots\!20\)\( T^{26} - \)\(28\!\cdots\!34\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 6 T + 520 T^{2} - 4426 T^{3} + 142954 T^{4} - 1459383 T^{5} + 28192858 T^{6} - 302539912 T^{7} + 4410079975 T^{8} - 45526968993 T^{9} + 563448300622 T^{10} - 5358116361729 T^{11} + 59262289453086 T^{12} - 512503429802565 T^{13} + 5148351823043328 T^{14} - 40487770954402635 T^{15} + 369855948476709726 T^{16} - 2641760332870504431 T^{17} + 21946356948539250382 T^{18} - \)\(14\!\cdots\!07\)\( T^{19} + \)\(10\!\cdots\!75\)\( T^{20} - \)\(58\!\cdots\!08\)\( T^{21} + \)\(42\!\cdots\!38\)\( T^{22} - \)\(17\!\cdots\!77\)\( T^{23} + \)\(13\!\cdots\!54\)\( T^{24} - \)\(33\!\cdots\!54\)\( T^{25} + \)\(30\!\cdots\!20\)\( T^{26} - \)\(28\!\cdots\!34\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 10 T + 492 T^{2} - 4862 T^{3} + 133358 T^{4} - 1236539 T^{5} + 25248098 T^{6} - 217682804 T^{7} + 3684169111 T^{8} - 29521156037 T^{9} + 437078923458 T^{10} - 3258625021461 T^{11} + 43548923964458 T^{12} - 302143143647501 T^{13} + 3709096196507328 T^{14} - 23869308348152579 T^{15} + 271788834462182378 T^{16} - 1606629221956109979 T^{17} + 17024259472081900098 T^{18} - 90838262089528330763 T^{19} + \)\(89\!\cdots\!31\)\( T^{20} - \)\(41\!\cdots\!36\)\( T^{21} + \)\(38\!\cdots\!78\)\( T^{22} - \)\(14\!\cdots\!41\)\( T^{23} + \)\(12\!\cdots\!58\)\( T^{24} - \)\(36\!\cdots\!98\)\( T^{25} + \)\(29\!\cdots\!72\)\( T^{26} - \)\(46\!\cdots\!90\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))
$83$ (\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 6 T + 130 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 150 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 20 T + 145 T^{2} + 648 T^{3} + 12035 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 29 T + 443 T^{2} - 4603 T^{3} + 36769 T^{4} - 199781 T^{5} + 571787 T^{6} \))(\( 1 + 3 T + 180 T^{2} + 1556 T^{3} + 14858 T^{4} + 129148 T^{5} + 1240020 T^{6} + 1715361 T^{7} + 47458321 T^{8} \))(\( 1 + 5 T + 162 T^{2} + 1438 T^{3} + 15118 T^{4} + 119354 T^{5} + 1116018 T^{6} + 2858935 T^{7} + 47458321 T^{8} \))(\( 1 - 3 T + 164 T^{2} - 546 T^{3} + 13890 T^{4} - 45318 T^{5} + 1129796 T^{6} - 1715361 T^{7} + 47458321 T^{8} \))(\( 1 - 7 T + 292 T^{2} - 1748 T^{3} + 34698 T^{4} - 145084 T^{5} + 2011588 T^{6} - 4002509 T^{7} + 47458321 T^{8} \))(\( 1 + 8 T + 359 T^{2} + 2224 T^{3} + 55778 T^{4} + 264336 T^{5} + 4629574 T^{6} + 15321136 T^{7} + 205271533 T^{8} + 379666568 T^{9} + 3939040643 T^{10} \))(\( 1 - 31 T + 617 T^{2} - 7921 T^{3} + 85250 T^{4} - 777204 T^{5} + 7075750 T^{6} - 54567769 T^{7} + 352792579 T^{8} - 1471207951 T^{9} + 3939040643 T^{10} \))(\( 1 - T + 211 T^{2} - 561 T^{3} + 26112 T^{4} - 69144 T^{5} + 2167296 T^{6} - 3864729 T^{7} + 120647057 T^{8} - 47458321 T^{9} + 3939040643 T^{10} \))(\( 1 + 4 T + 271 T^{2} + 1905 T^{3} + 42756 T^{4} + 390631 T^{5} + 4863288 T^{6} + 48279102 T^{7} + 452154785 T^{8} + 4007165466 T^{9} + 33503191032 T^{10} + 223357727597 T^{11} + 2029127972676 T^{12} + 7503872424915 T^{13} + 88600841182999 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 25 T + 632 T^{2} + 8426 T^{3} + 113366 T^{4} + 877076 T^{5} + 7714544 T^{6} + 29380439 T^{7} + 346252610 T^{8} + 2438576437 T^{9} + 53145493616 T^{10} + 501500654812 T^{11} + 5380160018486 T^{12} + 33190356457918 T^{13} + 206626315969208 T^{14} + 678401274740675 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 20 T + 605 T^{2} + 9107 T^{3} + 155840 T^{4} + 1898117 T^{5} + 23665964 T^{6} + 239462516 T^{7} + 2378527291 T^{8} + 19875388828 T^{9} + 163034825996 T^{10} + 1085318625079 T^{11} + 7395904744640 T^{12} + 35872843135801 T^{13} + 197798925888245 T^{14} + 542721019792540 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 20 T + 605 T^{2} - 9107 T^{3} + 155840 T^{4} - 1898117 T^{5} + 23665964 T^{6} - 239462516 T^{7} + 2378527291 T^{8} - 19875388828 T^{9} + 163034825996 T^{10} - 1085318625079 T^{11} + 7395904744640 T^{12} - 35872843135801 T^{13} + 197798925888245 T^{14} - 542721019792540 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 4 T + 271 T^{2} - 1905 T^{3} + 42756 T^{4} - 390631 T^{5} + 4863288 T^{6} - 48279102 T^{7} + 452154785 T^{8} - 4007165466 T^{9} + 33503191032 T^{10} - 223357727597 T^{11} + 2029127972676 T^{12} - 7503872424915 T^{13} + 88600841182999 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 14 T + 735 T^{2} - 9146 T^{3} + 260712 T^{4} - 2894852 T^{5} + 59256494 T^{6} - 588022944 T^{7} + 9619690971 T^{8} - 85260583062 T^{9} + 1174765790903 T^{10} - 9262183130126 T^{11} + 110625794527488 T^{12} - 768761199800458 T^{13} + 8092961533530767 T^{14} - 48750893007271794 T^{15} + 456534382022519691 T^{16} - 2316246275432512992 T^{17} + 19373340272897908286 T^{18} - 78554851479423700204 T^{19} + \)\(58\!\cdots\!92\)\( T^{20} - \)\(17\!\cdots\!38\)\( T^{21} + \)\(11\!\cdots\!15\)\( T^{22} - \)\(18\!\cdots\!38\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 14 T + 735 T^{2} + 9146 T^{3} + 260712 T^{4} + 2894852 T^{5} + 59256494 T^{6} + 588022944 T^{7} + 9619690971 T^{8} + 85260583062 T^{9} + 1174765790903 T^{10} + 9262183130126 T^{11} + 110625794527488 T^{12} + 768761199800458 T^{13} + 8092961533530767 T^{14} + 48750893007271794 T^{15} + 456534382022519691 T^{16} + 2316246275432512992 T^{17} + 19373340272897908286 T^{18} + 78554851479423700204 T^{19} + \)\(58\!\cdots\!92\)\( T^{20} + \)\(17\!\cdots\!38\)\( T^{21} + \)\(11\!\cdots\!15\)\( T^{22} + \)\(18\!\cdots\!38\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 24 T + 731 T^{2} + 13603 T^{3} + 260411 T^{4} + 3964887 T^{5} + 59666939 T^{6} + 778011917 T^{7} + 9968714740 T^{8} + 114820087847 T^{9} + 1303030698647 T^{10} + 13560161394564 T^{11} + 139457980760552 T^{12} + 1330096080532638 T^{13} + 12559576595348166 T^{14} + 110397974684208954 T^{15} + 960726029459442728 T^{16} + 7753524003313565868 T^{17} + 61839649169243591687 T^{18} + \)\(45\!\cdots\!21\)\( T^{19} + \)\(32\!\cdots\!60\)\( T^{20} + \)\(21\!\cdots\!59\)\( T^{21} + \)\(13\!\cdots\!99\)\( T^{22} + \)\(74\!\cdots\!61\)\( T^{23} + \)\(40\!\cdots\!39\)\( T^{24} + \)\(17\!\cdots\!01\)\( T^{25} + \)\(78\!\cdots\!91\)\( T^{26} + \)\(21\!\cdots\!12\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 + 16 T + 673 T^{2} + 9849 T^{3} + 226719 T^{4} + 2965629 T^{5} + 50566245 T^{6} + 592879257 T^{7} + 8390024810 T^{8} + 89206969507 T^{9} + 1104538811693 T^{10} + 10748118243738 T^{11} + 119552096879454 T^{12} + 1068592698071772 T^{13} + 10822676226410490 T^{14} + 88693193939957076 T^{15} + 823594395402558606 T^{16} + 6145634286232219806 T^{17} + 52419557482284947453 T^{18} + \)\(35\!\cdots\!01\)\( T^{19} + \)\(27\!\cdots\!90\)\( T^{20} + \)\(16\!\cdots\!39\)\( T^{21} + \)\(11\!\cdots\!45\)\( T^{22} + \)\(55\!\cdots\!87\)\( T^{23} + \)\(35\!\cdots\!31\)\( T^{24} + \)\(12\!\cdots\!83\)\( T^{25} + \)\(71\!\cdots\!53\)\( T^{26} + \)\(14\!\cdots\!08\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 16 T + 673 T^{2} - 9849 T^{3} + 226719 T^{4} - 2965629 T^{5} + 50566245 T^{6} - 592879257 T^{7} + 8390024810 T^{8} - 89206969507 T^{9} + 1104538811693 T^{10} - 10748118243738 T^{11} + 119552096879454 T^{12} - 1068592698071772 T^{13} + 10822676226410490 T^{14} - 88693193939957076 T^{15} + 823594395402558606 T^{16} - 6145634286232219806 T^{17} + 52419557482284947453 T^{18} - \)\(35\!\cdots\!01\)\( T^{19} + \)\(27\!\cdots\!90\)\( T^{20} - \)\(16\!\cdots\!39\)\( T^{21} + \)\(11\!\cdots\!45\)\( T^{22} - \)\(55\!\cdots\!87\)\( T^{23} + \)\(35\!\cdots\!31\)\( T^{24} - \)\(12\!\cdots\!83\)\( T^{25} + \)\(71\!\cdots\!53\)\( T^{26} - \)\(14\!\cdots\!08\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 24 T + 731 T^{2} - 13603 T^{3} + 260411 T^{4} - 3964887 T^{5} + 59666939 T^{6} - 778011917 T^{7} + 9968714740 T^{8} - 114820087847 T^{9} + 1303030698647 T^{10} - 13560161394564 T^{11} + 139457980760552 T^{12} - 1330096080532638 T^{13} + 12559576595348166 T^{14} - 110397974684208954 T^{15} + 960726029459442728 T^{16} - 7753524003313565868 T^{17} + 61839649169243591687 T^{18} - \)\(45\!\cdots\!21\)\( T^{19} + \)\(32\!\cdots\!60\)\( T^{20} - \)\(21\!\cdots\!59\)\( T^{21} + \)\(13\!\cdots\!99\)\( T^{22} - \)\(74\!\cdots\!61\)\( T^{23} + \)\(40\!\cdots\!39\)\( T^{24} - \)\(17\!\cdots\!01\)\( T^{25} + \)\(78\!\cdots\!91\)\( T^{26} - \)\(21\!\cdots\!12\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))
$89$ (\( 1 + 2 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 14 T + 222 T^{2} + 1246 T^{3} + 7921 T^{4} \))(\( 1 + 98 T^{2} + 7921 T^{4} \))(\( 1 - 4 T + 153 T^{2} - 990 T^{3} + 13617 T^{4} - 31684 T^{5} + 704969 T^{6} \))(\( 1 - 7 T + 253 T^{2} - 1155 T^{3} + 22517 T^{4} - 55447 T^{5} + 704969 T^{6} \))(\( 1 + 11 T + 232 T^{2} + 1102 T^{3} + 20340 T^{4} + 98078 T^{5} + 1837672 T^{6} + 7754659 T^{7} + 62742241 T^{8} \))(\( 1 - 35 T + 810 T^{2} - 11932 T^{3} + 133804 T^{4} - 1061948 T^{5} + 6416010 T^{6} - 24673915 T^{7} + 62742241 T^{8} \))(\( 1 + 11 T + 206 T^{2} + 1952 T^{3} + 27748 T^{4} + 173728 T^{5} + 1631726 T^{6} + 7754659 T^{7} + 62742241 T^{8} \))(\( 1 - 7 T + 254 T^{2} - 810 T^{3} + 26912 T^{4} - 72090 T^{5} + 2011934 T^{6} - 4934783 T^{7} + 62742241 T^{8} \))(\( 1 + 20 T + 511 T^{2} + 6422 T^{3} + 92672 T^{4} + 821572 T^{5} + 8247808 T^{6} + 50868662 T^{7} + 360239159 T^{8} + 1254844820 T^{9} + 5584059449 T^{10} \))(\( 1 + 21 T + 417 T^{2} + 4765 T^{3} + 54724 T^{4} + 484844 T^{5} + 4870436 T^{6} + 37743565 T^{7} + 293972073 T^{8} + 1317587061 T^{9} + 5584059449 T^{10} \))(\( 1 - T + 215 T^{2} + 449 T^{3} + 25370 T^{4} + 79560 T^{5} + 2257930 T^{6} + 3556529 T^{7} + 151568335 T^{8} - 62742241 T^{9} + 5584059449 T^{10} \))(\( 1 + 17 T + 720 T^{2} + 9700 T^{3} + 221878 T^{4} + 2426901 T^{5} + 38946962 T^{6} + 347718674 T^{7} + 4307242151 T^{8} + 30946961986 T^{9} + 308498886002 T^{10} + 1710889971069 T^{11} + 13921122948598 T^{12} + 54165376655300 T^{13} + 357826529491920 T^{14} + 751932693223993 T^{15} + 3936588805702081 T^{16} \))(\( 1 - T + 330 T^{2} - 1456 T^{3} + 57344 T^{4} - 365870 T^{5} + 7551134 T^{6} - 47530569 T^{7} + 773518510 T^{8} - 4230220641 T^{9} + 59812532414 T^{10} - 257927008030 T^{11} + 3597891067904 T^{12} - 8130390557744 T^{13} + 164003826017130 T^{14} - 44231334895529 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 15 T + 358 T^{2} - 5282 T^{3} + 75100 T^{4} - 930075 T^{5} + 10738476 T^{6} - 109583110 T^{7} + 1120131273 T^{8} - 9752896790 T^{9} + 85059468396 T^{10} - 655674042675 T^{11} + 4711942299100 T^{12} - 29495002009618 T^{13} + 177919302164038 T^{14} - 663470023432935 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 15 T + 358 T^{2} - 5282 T^{3} + 75100 T^{4} - 930075 T^{5} + 10738476 T^{6} - 109583110 T^{7} + 1120131273 T^{8} - 9752896790 T^{9} + 85059468396 T^{10} - 655674042675 T^{11} + 4711942299100 T^{12} - 29495002009618 T^{13} + 177919302164038 T^{14} - 663470023432935 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 17 T + 720 T^{2} + 9700 T^{3} + 221878 T^{4} + 2426901 T^{5} + 38946962 T^{6} + 347718674 T^{7} + 4307242151 T^{8} + 30946961986 T^{9} + 308498886002 T^{10} + 1710889971069 T^{11} + 13921122948598 T^{12} + 54165376655300 T^{13} + 357826529491920 T^{14} + 751932693223993 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 10 T + 363 T^{2} + 4124 T^{3} + 82060 T^{4} + 1013390 T^{5} + 14202706 T^{6} + 169764084 T^{7} + 2034510667 T^{8} + 21889141238 T^{9} + 243098243759 T^{10} + 2301367141458 T^{11} + 23914236452424 T^{12} + 204821675589762 T^{13} + 1925581188815039 T^{14} + 15431166009411622 T^{15} + 127649758585984747 T^{16} + 947972737361029716 T^{17} + 7058479163019540466 T^{18} + 44823592469780133310 T^{19} + \)\(32\!\cdots\!60\)\( T^{20} + \)\(14\!\cdots\!16\)\( T^{21} + \)\(11\!\cdots\!63\)\( T^{22} + \)\(27\!\cdots\!90\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 10 T + 363 T^{2} + 4124 T^{3} + 82060 T^{4} + 1013390 T^{5} + 14202706 T^{6} + 169764084 T^{7} + 2034510667 T^{8} + 21889141238 T^{9} + 243098243759 T^{10} + 2301367141458 T^{11} + 23914236452424 T^{12} + 204821675589762 T^{13} + 1925581188815039 T^{14} + 15431166009411622 T^{15} + 127649758585984747 T^{16} + 947972737361029716 T^{17} + 7058479163019540466 T^{18} + 44823592469780133310 T^{19} + \)\(32\!\cdots\!60\)\( T^{20} + \)\(14\!\cdots\!16\)\( T^{21} + \)\(11\!\cdots\!63\)\( T^{22} + \)\(27\!\cdots\!90\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 25 T + 794 T^{2} - 14006 T^{3} + 277865 T^{4} - 3948430 T^{5} + 61379150 T^{6} - 746774942 T^{7} + 9908005206 T^{8} - 107104187344 T^{9} + 1271677533784 T^{10} - 12552819431873 T^{11} + 137456776403760 T^{12} - 1264112781649036 T^{13} + 12992236516231040 T^{14} - 112506037566764204 T^{15} + 1088795125894182960 T^{16} - 8849348562068076937 T^{17} + 79787898298961369944 T^{18} - \)\(59\!\cdots\!56\)\( T^{19} + \)\(49\!\cdots\!66\)\( T^{20} - \)\(33\!\cdots\!18\)\( T^{21} + \)\(24\!\cdots\!50\)\( T^{22} - \)\(13\!\cdots\!70\)\( T^{23} + \)\(86\!\cdots\!65\)\( T^{24} - \)\(38\!\cdots\!34\)\( T^{25} + \)\(19\!\cdots\!74\)\( T^{26} - \)\(54\!\cdots\!25\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 + 39 T + 1396 T^{2} + 35212 T^{3} + 796031 T^{4} + 15331322 T^{5} + 269092862 T^{6} + 4255162212 T^{7} + 62241133074 T^{8} + 839225063128 T^{9} + 10571593611698 T^{10} + 124113093132237 T^{11} + 1369231973742878 T^{12} + 14152783048988514 T^{13} + 137828187030160824 T^{14} + 1259597691359977746 T^{15} + 10845686464017336638 T^{16} + 87495883152339985653 T^{17} + \)\(66\!\cdots\!18\)\( T^{18} + \)\(46\!\cdots\!72\)\( T^{19} + \)\(30\!\cdots\!14\)\( T^{20} + \)\(18\!\cdots\!48\)\( T^{21} + \)\(10\!\cdots\!22\)\( T^{22} + \)\(53\!\cdots\!98\)\( T^{23} + \)\(24\!\cdots\!31\)\( T^{24} + \)\(97\!\cdots\!68\)\( T^{25} + \)\(34\!\cdots\!16\)\( T^{26} + \)\(85\!\cdots\!91\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 + 39 T + 1396 T^{2} + 35212 T^{3} + 796031 T^{4} + 15331322 T^{5} + 269092862 T^{6} + 4255162212 T^{7} + 62241133074 T^{8} + 839225063128 T^{9} + 10571593611698 T^{10} + 124113093132237 T^{11} + 1369231973742878 T^{12} + 14152783048988514 T^{13} + 137828187030160824 T^{14} + 1259597691359977746 T^{15} + 10845686464017336638 T^{16} + 87495883152339985653 T^{17} + \)\(66\!\cdots\!18\)\( T^{18} + \)\(46\!\cdots\!72\)\( T^{19} + \)\(30\!\cdots\!14\)\( T^{20} + \)\(18\!\cdots\!48\)\( T^{21} + \)\(10\!\cdots\!22\)\( T^{22} + \)\(53\!\cdots\!98\)\( T^{23} + \)\(24\!\cdots\!31\)\( T^{24} + \)\(97\!\cdots\!68\)\( T^{25} + \)\(34\!\cdots\!16\)\( T^{26} + \)\(85\!\cdots\!91\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 25 T + 794 T^{2} - 14006 T^{3} + 277865 T^{4} - 3948430 T^{5} + 61379150 T^{6} - 746774942 T^{7} + 9908005206 T^{8} - 107104187344 T^{9} + 1271677533784 T^{10} - 12552819431873 T^{11} + 137456776403760 T^{12} - 1264112781649036 T^{13} + 12992236516231040 T^{14} - 112506037566764204 T^{15} + 1088795125894182960 T^{16} - 8849348562068076937 T^{17} + 79787898298961369944 T^{18} - \)\(59\!\cdots\!56\)\( T^{19} + \)\(49\!\cdots\!66\)\( T^{20} - \)\(33\!\cdots\!18\)\( T^{21} + \)\(24\!\cdots\!50\)\( T^{22} - \)\(13\!\cdots\!70\)\( T^{23} + \)\(86\!\cdots\!65\)\( T^{24} - \)\(38\!\cdots\!34\)\( T^{25} + \)\(19\!\cdots\!74\)\( T^{26} - \)\(54\!\cdots\!25\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))
$97$ (\( 1 + 7 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 14 T + 198 T^{2} - 1358 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 158 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 269 T^{2} + 1166 T^{3} + 26093 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 + T + 142 T^{2} + 277 T^{3} + 13774 T^{4} + 9409 T^{5} + 912673 T^{6} \))(\( 1 + 9 T + 241 T^{2} + 2090 T^{3} + 31298 T^{4} + 202730 T^{5} + 2267569 T^{6} + 8214057 T^{7} + 88529281 T^{8} \))(\( 1 - 11 T + 177 T^{2} + 318 T^{3} + 2406 T^{4} + 30846 T^{5} + 1665393 T^{6} - 10039403 T^{7} + 88529281 T^{8} \))(\( 1 + T + 253 T^{2} - 614 T^{3} + 28606 T^{4} - 59558 T^{5} + 2380477 T^{6} + 912673 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T + 176 T^{2} - 1868 T^{3} + 13257 T^{4} - 181196 T^{5} + 1655984 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 12 T + 371 T^{2} - 3294 T^{3} + 61432 T^{4} - 417340 T^{5} + 5958904 T^{6} - 30993246 T^{7} + 338601683 T^{8} - 1062351372 T^{9} + 8587340257 T^{10} \))(\( 1 + 19 T + 298 T^{2} + 2293 T^{3} + 25987 T^{4} + 186112 T^{5} + 2520739 T^{6} + 21574837 T^{7} + 271976554 T^{8} + 1682056339 T^{9} + 8587340257 T^{10} \))(\( 1 - 9 T + 214 T^{2} - 2015 T^{3} + 19163 T^{4} - 226496 T^{5} + 1858811 T^{6} - 18959135 T^{7} + 195312022 T^{8} - 796763529 T^{9} + 8587340257 T^{10} \))(\( 1 + 41 T + 1234 T^{2} + 26542 T^{3} + 486246 T^{4} + 7410777 T^{5} + 100057472 T^{6} + 1171754020 T^{7} + 12324003755 T^{8} + 113660139940 T^{9} + 941440754048 T^{10} + 6763616076921 T^{11} + 43047008769126 T^{12} + 227925185101294 T^{13} + 1027887454082386 T^{14} + 3312729663602633 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 10 T + 574 T^{2} + 4842 T^{3} + 155521 T^{4} + 1122152 T^{5} + 26343286 T^{6} + 162485876 T^{7} + 3054647092 T^{8} + 15761129972 T^{9} + 247863977974 T^{10} + 1024157832296 T^{11} + 13768162310401 T^{12} + 41579901524394 T^{13} + 478125930829246 T^{14} + 807982844781130 T^{15} + 7837433594376961 T^{16} \))(\( 1 + T + 546 T^{2} - 252 T^{3} + 136930 T^{4} - 233989 T^{5} + 21403884 T^{6} - 49846696 T^{7} + 2395310017 T^{8} - 4835129512 T^{9} + 201389144556 T^{10} - 213555442597 T^{11} + 12122314447330 T^{12} - 2164009744764 T^{13} + 454802714691234 T^{14} + 80798284478113 T^{15} + 7837433594376961 T^{16} \))(\( 1 - T + 546 T^{2} + 252 T^{3} + 136930 T^{4} + 233989 T^{5} + 21403884 T^{6} + 49846696 T^{7} + 2395310017 T^{8} + 4835129512 T^{9} + 201389144556 T^{10} + 213555442597 T^{11} + 12122314447330 T^{12} + 2164009744764 T^{13} + 454802714691234 T^{14} - 80798284478113 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 41 T + 1234 T^{2} - 26542 T^{3} + 486246 T^{4} - 7410777 T^{5} + 100057472 T^{6} - 1171754020 T^{7} + 12324003755 T^{8} - 113660139940 T^{9} + 941440754048 T^{10} - 6763616076921 T^{11} + 43047008769126 T^{12} - 227925185101294 T^{13} + 1027887454082386 T^{14} - 3312729663602633 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 4 T + 577 T^{2} - 3798 T^{3} + 179283 T^{4} - 1393682 T^{5} + 39663292 T^{6} - 316257962 T^{7} + 6717625877 T^{8} - 51651879538 T^{9} + 901518714519 T^{10} - 6415544013704 T^{11} + 97366354036182 T^{12} - 622307769329288 T^{13} + 8482389584909271 T^{14} - 47141275853585074 T^{15} + 594706588917804437 T^{16} - 2715814728679376234 T^{17} + 33038411859324366268 T^{18} - \)\(11\!\cdots\!66\)\( T^{19} + \)\(14\!\cdots\!63\)\( T^{20} - \)\(28\!\cdots\!66\)\( T^{21} + \)\(42\!\cdots\!73\)\( T^{22} - \)\(28\!\cdots\!12\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T + 577 T^{2} + 3798 T^{3} + 179283 T^{4} + 1393682 T^{5} + 39663292 T^{6} + 316257962 T^{7} + 6717625877 T^{8} + 51651879538 T^{9} + 901518714519 T^{10} + 6415544013704 T^{11} + 97366354036182 T^{12} + 622307769329288 T^{13} + 8482389584909271 T^{14} + 47141275853585074 T^{15} + 594706588917804437 T^{16} + 2715814728679376234 T^{17} + 33038411859324366268 T^{18} + \)\(11\!\cdots\!66\)\( T^{19} + \)\(14\!\cdots\!63\)\( T^{20} + \)\(28\!\cdots\!66\)\( T^{21} + \)\(42\!\cdots\!73\)\( T^{22} + \)\(28\!\cdots\!12\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 43 T + 1592 T^{2} + 39590 T^{3} + 887293 T^{4} + 16234448 T^{5} + 276616898 T^{6} + 4130832308 T^{7} + 58811863262 T^{8} + 760864401164 T^{9} + 9522564908486 T^{10} + 110245919746819 T^{11} + 1241634039076756 T^{12} + 13016470869116572 T^{13} + 132803983609724832 T^{14} + 1262597674304307484 T^{15} + 11682534673673197204 T^{16} + \)\(10\!\cdots\!87\)\( T^{17} + \)\(84\!\cdots\!66\)\( T^{18} + \)\(65\!\cdots\!48\)\( T^{19} + \)\(48\!\cdots\!98\)\( T^{20} + \)\(33\!\cdots\!04\)\( T^{21} + \)\(21\!\cdots\!78\)\( T^{22} + \)\(12\!\cdots\!16\)\( T^{23} + \)\(65\!\cdots\!57\)\( T^{24} + \)\(28\!\cdots\!70\)\( T^{25} + \)\(11\!\cdots\!72\)\( T^{26} + \)\(28\!\cdots\!11\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 + 19 T + 756 T^{2} + 12008 T^{3} + 273069 T^{4} + 3740542 T^{5} + 63239870 T^{6} + 768039638 T^{7} + 10669336340 T^{8} + 117754783874 T^{9} + 1423043481350 T^{10} + 14627973463715 T^{11} + 160696162359694 T^{12} + 1571983664798348 T^{13} + 16266310222546160 T^{14} + 152482415485439756 T^{15} + 1511990191642360846 T^{16} + 13350556425049160195 T^{17} + \)\(12\!\cdots\!50\)\( T^{18} + \)\(10\!\cdots\!18\)\( T^{19} + \)\(88\!\cdots\!60\)\( T^{20} + \)\(62\!\cdots\!94\)\( T^{21} + \)\(49\!\cdots\!70\)\( T^{22} + \)\(28\!\cdots\!14\)\( T^{23} + \)\(20\!\cdots\!81\)\( T^{24} + \)\(85\!\cdots\!24\)\( T^{25} + \)\(52\!\cdots\!96\)\( T^{26} + \)\(12\!\cdots\!63\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 19 T + 756 T^{2} - 12008 T^{3} + 273069 T^{4} - 3740542 T^{5} + 63239870 T^{6} - 768039638 T^{7} + 10669336340 T^{8} - 117754783874 T^{9} + 1423043481350 T^{10} - 14627973463715 T^{11} + 160696162359694 T^{12} - 1571983664798348 T^{13} + 16266310222546160 T^{14} - 152482415485439756 T^{15} + 1511990191642360846 T^{16} - 13350556425049160195 T^{17} + \)\(12\!\cdots\!50\)\( T^{18} - \)\(10\!\cdots\!18\)\( T^{19} + \)\(88\!\cdots\!60\)\( T^{20} - \)\(62\!\cdots\!94\)\( T^{21} + \)\(49\!\cdots\!70\)\( T^{22} - \)\(28\!\cdots\!14\)\( T^{23} + \)\(20\!\cdots\!81\)\( T^{24} - \)\(85\!\cdots\!24\)\( T^{25} + \)\(52\!\cdots\!96\)\( T^{26} - \)\(12\!\cdots\!63\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 43 T + 1592 T^{2} - 39590 T^{3} + 887293 T^{4} - 16234448 T^{5} + 276616898 T^{6} - 4130832308 T^{7} + 58811863262 T^{8} - 760864401164 T^{9} + 9522564908486 T^{10} - 110245919746819 T^{11} + 1241634039076756 T^{12} - 13016470869116572 T^{13} + 132803983609724832 T^{14} - 1262597674304307484 T^{15} + 11682534673673197204 T^{16} - \)\(10\!\cdots\!87\)\( T^{17} + \)\(84\!\cdots\!66\)\( T^{18} - \)\(65\!\cdots\!48\)\( T^{19} + \)\(48\!\cdots\!98\)\( T^{20} - \)\(33\!\cdots\!04\)\( T^{21} + \)\(21\!\cdots\!78\)\( T^{22} - \)\(12\!\cdots\!16\)\( T^{23} + \)\(65\!\cdots\!57\)\( T^{24} - \)\(28\!\cdots\!70\)\( T^{25} + \)\(11\!\cdots\!72\)\( T^{26} - \)\(28\!\cdots\!11\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))
show more
show less