Properties

Label 6042.2
Level 6042
Weight 2
Dimension 251133
Nonzero newspaces 36
Sturm bound 4043520

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Defining parameters

Level: \( N \) = \( 6042\( 6042 = 2 \cdot 3 \cdot 19 \cdot 53 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 36 \)
Sturm bound: \(4043520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6042))\).

Total New Old
Modular forms 1018368 251133 767235
Cusp forms 1003393 251133 752260
Eisenstein series 14975 0 14975

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6042))\)

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
6042.2.a \(\chi_{6042}(1, \cdot)\) 6042.2.a.a 1 1
6042.2.a.b 1
6042.2.a.c 1
6042.2.a.d 1
6042.2.a.e 1
6042.2.a.f 1
6042.2.a.g 1
6042.2.a.h 1
6042.2.a.i 1
6042.2.a.j 1
6042.2.a.k 1
6042.2.a.l 1
6042.2.a.m 1
6042.2.a.n 1
6042.2.a.o 2
6042.2.a.p 2
6042.2.a.q 3
6042.2.a.r 3
6042.2.a.s 3
6042.2.a.t 4
6042.2.a.u 5
6042.2.a.v 6
6042.2.a.w 6
6042.2.a.x 6
6042.2.a.y 7
6042.2.a.z 9
6042.2.a.ba 9
6042.2.a.bb 9
6042.2.a.bc 9
6042.2.a.bd 11
6042.2.a.be 12
6042.2.a.bf 12
6042.2.a.bg 12
6042.2.a.bh 13
6042.2.b \(\chi_{6042}(4559, \cdot)\) n/a 344 1
6042.2.e \(\chi_{6042}(1483, \cdot)\) n/a 160 1
6042.2.f \(\chi_{6042}(6041, \cdot)\) n/a 360 1
6042.2.i \(\chi_{6042}(4453, \cdot)\) n/a 352 2
6042.2.j \(\chi_{6042}(2203, \cdot)\) n/a 360 2
6042.2.m \(\chi_{6042}(1673, \cdot)\) n/a 648 2
6042.2.o \(\chi_{6042}(635, \cdot)\) n/a 720 2
6042.2.r \(\chi_{6042}(107, \cdot)\) n/a 688 2
6042.2.s \(\chi_{6042}(847, \cdot)\) n/a 360 2
6042.2.u \(\chi_{6042}(955, \cdot)\) n/a 1032 6
6042.2.w \(\chi_{6042}(2839, \cdot)\) n/a 720 4
6042.2.x \(\chi_{6042}(83, \cdot)\) n/a 1440 4
6042.2.z \(\chi_{6042}(685, \cdot)\) n/a 1968 12
6042.2.bc \(\chi_{6042}(529, \cdot)\) n/a 1080 6
6042.2.bd \(\chi_{6042}(317, \cdot)\) n/a 2160 6
6042.2.bf \(\chi_{6042}(743, \cdot)\) n/a 2088 6
6042.2.bj \(\chi_{6042}(113, \cdot)\) n/a 4320 12
6042.2.bk \(\chi_{6042}(115, \cdot)\) n/a 1920 12
6042.2.bn \(\chi_{6042}(227, \cdot)\) n/a 4320 12
6042.2.bo \(\chi_{6042}(23, \cdot)\) n/a 4320 12
6042.2.br \(\chi_{6042}(295, \cdot)\) n/a 2160 12
6042.2.bs \(\chi_{6042}(49, \cdot)\) n/a 4320 24
6042.2.bt \(\chi_{6042}(191, \cdot)\) n/a 7776 24
6042.2.bw \(\chi_{6042}(151, \cdot)\) n/a 4320 24
6042.2.by \(\chi_{6042}(7, \cdot)\) n/a 4320 24
6042.2.bz \(\chi_{6042}(293, \cdot)\) n/a 8640 24
6042.2.cc \(\chi_{6042}(221, \cdot)\) n/a 8640 24
6042.2.ce \(\chi_{6042}(169, \cdot)\) n/a 12960 72
6042.2.cg \(\chi_{6042}(125, \cdot)\) n/a 17280 48
6042.2.ch \(\chi_{6042}(31, \cdot)\) n/a 8640 48
6042.2.ck \(\chi_{6042}(89, \cdot)\) n/a 25920 72
6042.2.cm \(\chi_{6042}(29, \cdot)\) n/a 25920 72
6042.2.cn \(\chi_{6042}(25, \cdot)\) n/a 12960 72
6042.2.cq \(\chi_{6042}(67, \cdot)\) n/a 25920 144
6042.2.ct \(\chi_{6042}(5, \cdot)\) n/a 51840 144

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6042))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6042)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(38))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(53))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(57))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(106))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(114))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(159))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(318))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1007))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2014))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3021))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{7} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{13} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{7} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{13} \))
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 - T + 6 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 13 T^{2} + 23 T^{3} + 65 T^{4} + 75 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 3 T^{2} - 2 T^{3} + 15 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 + 7 T + 29 T^{2} + 77 T^{3} + 145 T^{4} + 175 T^{5} + 125 T^{6} \))(\( 1 - 6 T + 25 T^{2} - 75 T^{3} + 193 T^{4} - 375 T^{5} + 625 T^{6} - 750 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 16 T^{2} - 35 T^{3} + 134 T^{4} - 244 T^{5} + 670 T^{6} - 875 T^{7} + 2000 T^{8} - 1250 T^{9} + 3125 T^{10} \))(\( 1 - 3 T + 22 T^{2} - 52 T^{3} + 217 T^{4} - 429 T^{5} + 1330 T^{6} - 2145 T^{7} + 5425 T^{8} - 6500 T^{9} + 13750 T^{10} - 9375 T^{11} + 15625 T^{12} \))(\( 1 + T + 10 T^{2} + T^{3} + 73 T^{4} - 30 T^{5} + 328 T^{6} - 150 T^{7} + 1825 T^{8} + 125 T^{9} + 6250 T^{10} + 3125 T^{11} + 15625 T^{12} \))(\( 1 + 8 T + 49 T^{2} + 209 T^{3} + 742 T^{4} + 2129 T^{5} + 5222 T^{6} + 10645 T^{7} + 18550 T^{8} + 26125 T^{9} + 30625 T^{10} + 25000 T^{11} + 15625 T^{12} \))(\( 1 - 4 T + 24 T^{2} - 69 T^{3} + 249 T^{4} - 620 T^{5} + 1726 T^{6} - 3752 T^{7} + 8630 T^{8} - 15500 T^{9} + 31125 T^{10} - 43125 T^{11} + 75000 T^{12} - 62500 T^{13} + 78125 T^{14} \))(\( 1 + T + 18 T^{2} + 18 T^{3} + 141 T^{4} + 197 T^{5} + 725 T^{6} + 1824 T^{7} + 3415 T^{8} + 11648 T^{9} + 17075 T^{10} + 45600 T^{11} + 90625 T^{12} + 123125 T^{13} + 440625 T^{14} + 281250 T^{15} + 1406250 T^{16} + 390625 T^{17} + 1953125 T^{18} \))(\( 1 - 2 T + 15 T^{2} - 23 T^{3} + 122 T^{4} - 91 T^{5} + 551 T^{6} + 253 T^{7} + 1711 T^{8} + 3230 T^{9} + 8555 T^{10} + 6325 T^{11} + 68875 T^{12} - 56875 T^{13} + 381250 T^{14} - 359375 T^{15} + 1171875 T^{16} - 781250 T^{17} + 1953125 T^{18} \))(\( 1 + 5 T + 31 T^{2} + 121 T^{3} + 481 T^{4} + 1519 T^{5} + 4687 T^{6} + 12508 T^{7} + 32108 T^{8} + 73198 T^{9} + 160540 T^{10} + 312700 T^{11} + 585875 T^{12} + 949375 T^{13} + 1503125 T^{14} + 1890625 T^{15} + 2421875 T^{16} + 1953125 T^{17} + 1953125 T^{18} \))(\( 1 + 3 T + 25 T^{2} + 51 T^{3} + 227 T^{4} + 215 T^{5} + 683 T^{6} - 1284 T^{7} - 1888 T^{8} - 14576 T^{9} - 9440 T^{10} - 32100 T^{11} + 85375 T^{12} + 134375 T^{13} + 709375 T^{14} + 796875 T^{15} + 1953125 T^{16} + 1171875 T^{17} + 1953125 T^{18} \))(\( 1 - 2 T + 20 T^{2} - 23 T^{3} + 194 T^{4} - 164 T^{5} + 1438 T^{6} - 1237 T^{7} + 9238 T^{8} - 8784 T^{9} + 51703 T^{10} - 49206 T^{11} + 258515 T^{12} - 219600 T^{13} + 1154750 T^{14} - 773125 T^{15} + 4493750 T^{16} - 2562500 T^{17} + 15156250 T^{18} - 8984375 T^{19} + 39062500 T^{20} - 19531250 T^{21} + 48828125 T^{22} \))(\( 1 + 3 T + 24 T^{2} + 60 T^{3} + 315 T^{4} + 687 T^{5} + 2932 T^{6} + 5977 T^{7} + 21975 T^{8} + 41708 T^{9} + 137214 T^{10} + 243173 T^{11} + 732886 T^{12} + 1215865 T^{13} + 3430350 T^{14} + 5213500 T^{15} + 13734375 T^{16} + 18678125 T^{17} + 45812500 T^{18} + 53671875 T^{19} + 123046875 T^{20} + 117187500 T^{21} + 234375000 T^{22} + 146484375 T^{23} + 244140625 T^{24} \))(\( 1 + 7 T + 44 T^{2} + 194 T^{3} + 805 T^{4} + 2795 T^{5} + 9256 T^{6} + 27503 T^{7} + 78751 T^{8} + 208262 T^{9} + 532232 T^{10} + 1272391 T^{11} + 2938046 T^{12} + 6361955 T^{13} + 13305800 T^{14} + 26032750 T^{15} + 49219375 T^{16} + 85946875 T^{17} + 144625000 T^{18} + 218359375 T^{19} + 314453125 T^{20} + 378906250 T^{21} + 429687500 T^{22} + 341796875 T^{23} + 244140625 T^{24} \))(\( 1 - 5 T + 26 T^{2} - 106 T^{3} + 403 T^{4} - 1365 T^{5} + 4314 T^{6} - 12805 T^{7} + 35809 T^{8} - 94766 T^{9} + 238410 T^{10} - 572569 T^{11} + 1307498 T^{12} - 2862845 T^{13} + 5960250 T^{14} - 11845750 T^{15} + 22380625 T^{16} - 40015625 T^{17} + 67406250 T^{18} - 106640625 T^{19} + 157421875 T^{20} - 207031250 T^{21} + 253906250 T^{22} - 244140625 T^{23} + 244140625 T^{24} \))(\( 1 - 3 T + 25 T^{2} - 57 T^{3} + 287 T^{4} - 507 T^{5} + 2001 T^{6} - 2766 T^{7} + 10123 T^{8} - 11055 T^{9} + 44509 T^{10} - 42813 T^{11} + 204314 T^{12} - 194430 T^{13} + 1021570 T^{14} - 1070325 T^{15} + 5563625 T^{16} - 6909375 T^{17} + 31634375 T^{18} - 43218750 T^{19} + 156328125 T^{20} - 198046875 T^{21} + 560546875 T^{22} - 556640625 T^{23} + 1220703125 T^{24} - 732421875 T^{25} + 1220703125 T^{26} \))
$7$ (\( 1 - T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( ( 1 - T + 7 T^{2} )^{2} \))(\( 1 + T + 10 T^{2} + 7 T^{3} + 49 T^{4} \))(\( 1 + T + 11 T^{2} + 23 T^{3} + 77 T^{4} + 49 T^{5} + 343 T^{6} \))(\( ( 1 - 2 T + 7 T^{2} )^{3} \))(\( 1 + 7 T + 35 T^{2} + 105 T^{3} + 245 T^{4} + 343 T^{5} + 343 T^{6} \))(\( 1 - 3 T + 14 T^{2} - 44 T^{3} + 120 T^{4} - 308 T^{5} + 686 T^{6} - 1029 T^{7} + 2401 T^{8} \))(\( 1 - 2 T + 16 T^{2} - 39 T^{3} + 182 T^{4} - 330 T^{5} + 1274 T^{6} - 1911 T^{7} + 5488 T^{8} - 4802 T^{9} + 16807 T^{10} \))(\( 1 + 7 T + 44 T^{2} + 176 T^{3} + 701 T^{4} + 2129 T^{5} + 6388 T^{6} + 14903 T^{7} + 34349 T^{8} + 60368 T^{9} + 105644 T^{10} + 117649 T^{11} + 117649 T^{12} \))(\( 1 - T + 16 T^{2} + 9 T^{3} + 79 T^{4} + 370 T^{5} + 160 T^{6} + 2590 T^{7} + 3871 T^{8} + 3087 T^{9} + 38416 T^{10} - 16807 T^{11} + 117649 T^{12} \))(\( 1 + 6 T + 37 T^{2} + 161 T^{3} + 610 T^{4} + 2007 T^{5} + 5568 T^{6} + 14049 T^{7} + 29890 T^{8} + 55223 T^{9} + 88837 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 + 9 T + 65 T^{2} + 339 T^{3} + 1509 T^{4} + 5579 T^{5} + 18213 T^{6} + 51042 T^{7} + 127491 T^{8} + 273371 T^{9} + 517587 T^{10} + 813939 T^{11} + 1092455 T^{12} + 1058841 T^{13} + 823543 T^{14} \))(\( 1 - 4 T + 38 T^{2} - 153 T^{3} + 804 T^{4} - 2780 T^{5} + 11178 T^{6} - 32911 T^{7} + 107771 T^{8} - 273808 T^{9} + 754397 T^{10} - 1612639 T^{11} + 3834054 T^{12} - 6674780 T^{13} + 13512828 T^{14} - 18000297 T^{15} + 31294634 T^{16} - 23059204 T^{17} + 40353607 T^{18} \))(\( 1 - 10 T + 65 T^{2} - 304 T^{3} + 1208 T^{4} - 4078 T^{5} + 12490 T^{6} - 34851 T^{7} + 94698 T^{8} - 249754 T^{9} + 662886 T^{10} - 1707699 T^{11} + 4284070 T^{12} - 9791278 T^{13} + 20302856 T^{14} - 35765296 T^{15} + 53530295 T^{16} - 57648010 T^{17} + 40353607 T^{18} \))(\( 1 + 5 T + 51 T^{2} + 216 T^{3} + 1228 T^{4} + 4382 T^{5} + 18240 T^{6} + 54713 T^{7} + 183025 T^{8} + 460744 T^{9} + 1281175 T^{10} + 2680937 T^{11} + 6256320 T^{12} + 10521182 T^{13} + 20638996 T^{14} + 25412184 T^{15} + 42000693 T^{16} + 28824005 T^{17} + 40353607 T^{18} \))(\( 1 + 7 T + 34 T^{2} + 105 T^{3} + 298 T^{4} + 753 T^{5} + 2365 T^{6} + 6913 T^{7} + 21168 T^{8} + 55436 T^{9} + 148176 T^{10} + 338737 T^{11} + 811195 T^{12} + 1807953 T^{13} + 5008486 T^{14} + 12353145 T^{15} + 28000462 T^{16} + 40353607 T^{17} + 40353607 T^{18} \))(\( 1 + 2 T + 29 T^{2} + 54 T^{3} + 475 T^{4} + 940 T^{5} + 5943 T^{6} + 11549 T^{7} + 59778 T^{8} + 109110 T^{9} + 504906 T^{10} + 846114 T^{11} + 3534342 T^{12} + 5346390 T^{13} + 20503854 T^{14} + 27729149 T^{15} + 99884001 T^{16} + 110590060 T^{17} + 391182925 T^{18} + 311299254 T^{19} + 1170254603 T^{20} + 564950498 T^{21} + 1977326743 T^{22} \))(\( 1 + T + 24 T^{2} + 37 T^{3} + 340 T^{4} + 613 T^{5} + 3948 T^{6} + 6444 T^{7} + 39516 T^{8} + 58027 T^{9} + 327844 T^{10} + 483768 T^{11} + 2379822 T^{12} + 3386376 T^{13} + 16064356 T^{14} + 19903261 T^{15} + 94877916 T^{16} + 108304308 T^{17} + 464478252 T^{18} + 504831859 T^{19} + 1960032340 T^{20} + 1493083459 T^{21} + 6779405976 T^{22} + 1977326743 T^{23} + 13841287201 T^{24} \))(\( 1 - 5 T + 40 T^{2} - 161 T^{3} + 812 T^{4} - 2959 T^{5} + 11794 T^{6} - 39286 T^{7} + 131886 T^{8} - 404199 T^{9} + 1199194 T^{10} - 3408652 T^{11} + 9158914 T^{12} - 23860564 T^{13} + 58760506 T^{14} - 138640257 T^{15} + 316658286 T^{16} - 660279802 T^{17} + 1387552306 T^{18} - 2436863737 T^{19} + 4681018412 T^{20} - 6496930727 T^{21} + 11299009960 T^{22} - 9886633715 T^{23} + 13841287201 T^{24} \))(\( 1 - 6 T + 42 T^{2} - 182 T^{3} + 842 T^{4} - 3126 T^{5} + 12234 T^{6} - 40841 T^{7} + 139737 T^{8} - 421349 T^{9} + 1289820 T^{10} - 3541930 T^{11} + 9887448 T^{12} - 24793510 T^{13} + 63201180 T^{14} - 144522707 T^{15} + 335508537 T^{16} - 686414687 T^{17} + 1439317866 T^{18} - 2574395418 T^{19} + 4853962442 T^{20} - 7344356474 T^{21} + 11863960458 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 - 12 T + 97 T^{2} - 562 T^{3} + 2650 T^{4} - 10334 T^{5} + 34930 T^{6} - 104063 T^{7} + 288341 T^{8} - 774238 T^{9} + 2144461 T^{10} - 6089343 T^{11} + 17381680 T^{12} - 47202352 T^{13} + 121671760 T^{14} - 298377807 T^{15} + 735550123 T^{16} - 1858945438 T^{17} + 4846147187 T^{18} - 12242907887 T^{19} + 28766356990 T^{20} - 59573453534 T^{21} + 106937058550 T^{22} - 158751089938 T^{23} + 191800694071 T^{24} - 166095446412 T^{25} + 96889010407 T^{26} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( 1 - 5 T + 33 T^{2} - 101 T^{3} + 363 T^{4} - 605 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 27 T^{2} - 34 T^{3} + 297 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 - 5 T + 39 T^{2} - 111 T^{3} + 429 T^{4} - 605 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 33 T^{2} + 73 T^{3} + 483 T^{4} + 803 T^{5} + 3993 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 3 T + 31 T^{2} + 55 T^{3} + 462 T^{4} + 676 T^{5} + 5082 T^{6} + 6655 T^{7} + 41261 T^{8} + 43923 T^{9} + 161051 T^{10} \))(\( 1 - T + 38 T^{2} - 86 T^{3} + 685 T^{4} - 2091 T^{5} + 8518 T^{6} - 23001 T^{7} + 82885 T^{8} - 114466 T^{9} + 556358 T^{10} - 161051 T^{11} + 1771561 T^{12} \))(\( 1 - 2 T + 26 T^{2} - 44 T^{3} + 511 T^{4} - 642 T^{5} + 5948 T^{6} - 7062 T^{7} + 61831 T^{8} - 58564 T^{9} + 380666 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 3 T + 42 T^{2} - 168 T^{3} + 859 T^{4} - 3607 T^{5} + 11436 T^{6} - 39677 T^{7} + 103939 T^{8} - 223608 T^{9} + 614922 T^{10} - 483153 T^{11} + 1771561 T^{12} \))(\( 1 + 2 T + 48 T^{2} + 121 T^{3} + 1139 T^{4} + 3132 T^{5} + 17534 T^{6} + 45136 T^{7} + 192874 T^{8} + 378972 T^{9} + 1516009 T^{10} + 1771561 T^{11} + 7730448 T^{12} + 3543122 T^{13} + 19487171 T^{14} \))(\( 1 - 12 T + 130 T^{2} - 949 T^{3} + 6296 T^{4} - 33826 T^{5} + 167392 T^{6} - 710051 T^{7} + 2794025 T^{8} - 9610148 T^{9} + 30734275 T^{10} - 85916171 T^{11} + 222798752 T^{12} - 495246466 T^{13} + 1013977096 T^{14} - 1681211389 T^{15} + 2533332230 T^{16} - 2572306572 T^{17} + 2357947691 T^{18} \))(\( 1 - 7 T + 63 T^{2} - 371 T^{3} + 2204 T^{4} - 10318 T^{5} + 48308 T^{6} - 190661 T^{7} + 737962 T^{8} - 2472022 T^{9} + 8117582 T^{10} - 23069981 T^{11} + 64297948 T^{12} - 151065838 T^{13} + 354956404 T^{14} - 657249131 T^{15} + 1227691773 T^{16} - 1500512167 T^{17} + 2357947691 T^{18} \))(\( 1 - 3 T + 61 T^{2} - 161 T^{3} + 1854 T^{4} - 4418 T^{5} + 37246 T^{6} - 80327 T^{7} + 545424 T^{8} - 1039798 T^{9} + 5999664 T^{10} - 9719567 T^{11} + 49574426 T^{12} - 64683938 T^{13} + 298588554 T^{14} - 285221321 T^{15} + 1188717431 T^{16} - 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 - 4 T + 50 T^{2} - 203 T^{3} + 1176 T^{4} - 4492 T^{5} + 17628 T^{6} - 61773 T^{7} + 205021 T^{8} - 695056 T^{9} + 2255231 T^{10} - 7474533 T^{11} + 23462868 T^{12} - 65767372 T^{13} + 189395976 T^{14} - 359626883 T^{15} + 974358550 T^{16} - 857435524 T^{17} + 2357947691 T^{18} \))(\( 1 + 6 T + 60 T^{2} + 219 T^{3} + 1401 T^{4} + 3360 T^{5} + 18260 T^{6} + 14422 T^{7} + 107359 T^{8} - 386534 T^{9} - 114283 T^{10} - 7259618 T^{11} - 1257113 T^{12} - 46770614 T^{13} + 142894829 T^{14} + 211152502 T^{15} + 2940791260 T^{16} + 5952444960 T^{17} + 27301526571 T^{18} + 46944594939 T^{19} + 141476861460 T^{20} + 155624547606 T^{21} + 285311670611 T^{22} \))(\( 1 + 7 T + 68 T^{2} + 402 T^{3} + 2494 T^{4} + 12378 T^{5} + 61262 T^{6} + 268473 T^{7} + 1140523 T^{8} + 4506422 T^{9} + 16999038 T^{10} + 60867808 T^{11} + 206716044 T^{12} + 669545888 T^{13} + 2056883598 T^{14} + 5998047682 T^{15} + 16698397243 T^{16} + 43237845123 T^{17} + 108529369982 T^{18} + 241212202638 T^{19} + 534611049214 T^{20} + 947894971782 T^{21} + 1763744872868 T^{22} + 1997181694277 T^{23} + 3138428376721 T^{24} \))(\( 1 + 5 T + 48 T^{2} + 276 T^{3} + 1724 T^{4} + 7934 T^{5} + 41032 T^{6} + 174373 T^{7} + 750391 T^{8} + 2840340 T^{9} + 11183368 T^{10} + 38312114 T^{11} + 133334840 T^{12} + 421433254 T^{13} + 1353187528 T^{14} + 3780492540 T^{15} + 10986474631 T^{16} + 28082946023 T^{17} + 72690690952 T^{18} + 154611214714 T^{19} + 369554710844 T^{20} + 650793562716 T^{21} + 1244996380848 T^{22} + 1426558353055 T^{23} + 3138428376721 T^{24} \))(\( 1 - 7 T + 48 T^{2} - 194 T^{3} + 872 T^{4} - 3090 T^{5} + 12958 T^{6} - 43921 T^{7} + 157899 T^{8} - 471790 T^{9} + 1589506 T^{10} - 4941064 T^{11} + 17160504 T^{12} - 54351704 T^{13} + 192330226 T^{14} - 627952490 T^{15} + 2311799259 T^{16} - 7073520971 T^{17} + 22955887438 T^{18} - 60215358390 T^{19} + 186920944232 T^{20} - 457441852054 T^{21} + 1244996380848 T^{22} - 1997181694277 T^{23} + 3138428376721 T^{24} \))(\( 1 - 4 T + 68 T^{2} - 163 T^{3} + 2044 T^{4} - 2586 T^{5} + 40824 T^{6} - 16517 T^{7} + 662738 T^{8} + 127192 T^{9} + 9314419 T^{10} + 5165200 T^{11} + 114475028 T^{12} + 76332556 T^{13} + 1259225308 T^{14} + 624989200 T^{15} + 12397491689 T^{16} + 1862218072 T^{17} + 106734617638 T^{18} - 29260873037 T^{19} + 795544268904 T^{20} - 554332066266 T^{21} + 4819645080404 T^{22} - 4227800209963 T^{23} + 19401193601548 T^{24} - 12553713506884 T^{25} + 34522712143931 T^{26} \))
$13$ (\( 1 - 5 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 3 T + 20 T^{2} + 39 T^{3} + 169 T^{4} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( 1 - 3 T + 37 T^{2} - 71 T^{3} + 481 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 35 T^{2} - 92 T^{3} + 455 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - T + 23 T^{2} + 3 T^{3} + 299 T^{4} - 169 T^{5} + 2197 T^{6} \))(\( 1 + T + 10 T^{2} + 8 T^{3} + 40 T^{4} + 104 T^{5} + 1690 T^{6} + 2197 T^{7} + 28561 T^{8} \))(\( 1 - 7 T + 61 T^{2} - 279 T^{3} + 1416 T^{4} - 4848 T^{5} + 18408 T^{6} - 47151 T^{7} + 134017 T^{8} - 199927 T^{9} + 371293 T^{10} \))(\( 1 + 13 T + 134 T^{2} + 920 T^{3} + 5399 T^{4} + 24779 T^{5} + 99480 T^{6} + 322127 T^{7} + 912431 T^{8} + 2021240 T^{9} + 3827174 T^{10} + 4826809 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 32 T^{2} - 82 T^{3} + 255 T^{4} - 520 T^{5} + 2640 T^{6} - 6760 T^{7} + 43095 T^{8} - 180154 T^{9} + 913952 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 13 T + 114 T^{2} + 746 T^{3} + 4017 T^{4} + 18145 T^{5} + 70888 T^{6} + 235885 T^{7} + 678873 T^{8} + 1638962 T^{9} + 3255954 T^{10} + 4826809 T^{11} + 4826809 T^{12} \))(\( 1 + 7 T + 87 T^{2} + 473 T^{3} + 3267 T^{4} + 14089 T^{5} + 69241 T^{6} + 237190 T^{7} + 900133 T^{8} + 2381041 T^{9} + 7177599 T^{10} + 13509353 T^{11} + 32302491 T^{12} + 33787663 T^{13} + 62748517 T^{14} \))(\( 1 + T + 55 T^{2} + 85 T^{3} + 1550 T^{4} + 2920 T^{5} + 31630 T^{6} + 63651 T^{7} + 510328 T^{8} + 984590 T^{9} + 6634264 T^{10} + 10757019 T^{11} + 69491110 T^{12} + 83398120 T^{13} + 575504150 T^{14} + 410278765 T^{15} + 3451168435 T^{16} + 815730721 T^{17} + 10604499373 T^{18} \))(\( 1 - 2 T + 67 T^{2} - 64 T^{3} + 1842 T^{4} + 1104 T^{5} + 26378 T^{6} + 85137 T^{7} + 246116 T^{8} + 1673402 T^{9} + 3199508 T^{10} + 14388153 T^{11} + 57952466 T^{12} + 31531344 T^{13} + 683921706 T^{14} - 308915776 T^{15} + 4204150639 T^{16} - 1631461442 T^{17} + 10604499373 T^{18} \))(\( 1 + 4 T + 53 T^{2} + 114 T^{3} + 1286 T^{4} + 1624 T^{5} + 23272 T^{6} + 20609 T^{7} + 371106 T^{8} + 309494 T^{9} + 4824378 T^{10} + 3482921 T^{11} + 51128584 T^{12} + 46383064 T^{13} + 477482798 T^{14} + 550256226 T^{15} + 3325671401 T^{16} + 3262922884 T^{17} + 10604499373 T^{18} \))(\( 1 + 5 T + 56 T^{2} + 273 T^{3} + 1902 T^{4} + 7937 T^{5} + 43145 T^{6} + 161365 T^{7} + 736960 T^{8} + 2391904 T^{9} + 9580480 T^{10} + 27270685 T^{11} + 94789565 T^{12} + 226688657 T^{13} + 706199286 T^{14} + 1317718857 T^{15} + 3513916952 T^{16} + 4078653605 T^{17} + 10604499373 T^{18} \))(\( 1 + 7 T + 78 T^{2} + 393 T^{3} + 2835 T^{4} + 12608 T^{5} + 73565 T^{6} + 297340 T^{7} + 1467640 T^{8} + 5385045 T^{9} + 23374393 T^{10} + 77946622 T^{11} + 303867109 T^{12} + 910072605 T^{13} + 3224405080 T^{14} + 8492327740 T^{15} + 27314169545 T^{16} + 60856407872 T^{17} + 177892045695 T^{18} + 320582173353 T^{19} + 827150951094 T^{20} + 965009442943 T^{21} + 1792160394037 T^{22} \))(\( 1 - 4 T + 64 T^{2} - 190 T^{3} + 2096 T^{4} - 4714 T^{5} + 47766 T^{6} - 86875 T^{7} + 900769 T^{8} - 1467767 T^{9} + 14884558 T^{10} - 22766494 T^{11} + 211030308 T^{12} - 295964422 T^{13} + 2515490302 T^{14} - 3224684099 T^{15} + 25726863409 T^{16} - 32256079375 T^{17} + 230557358694 T^{18} - 295796509138 T^{19} + 1709771591216 T^{20} - 2014854880870 T^{21} + 8822943478336 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 - 10 T + 116 T^{2} - 808 T^{3} + 5586 T^{4} - 30232 T^{5} + 160674 T^{6} - 734165 T^{7} + 3354249 T^{8} - 13754493 T^{9} + 56950666 T^{10} - 214131440 T^{11} + 810386728 T^{12} - 2783708720 T^{13} + 9624662554 T^{14} - 30218621121 T^{15} + 95800705689 T^{16} - 272590325345 T^{17} + 775542709266 T^{18} - 1897013165944 T^{19} + 4556671807506 T^{20} - 8568435493384 T^{21} + 15991585054484 T^{22} - 17921603940370 T^{23} + 23298085122481 T^{24} \))(\( 1 - 9 T + 105 T^{2} - 654 T^{3} + 4381 T^{4} - 20957 T^{5} + 102874 T^{6} - 396562 T^{7} + 1578777 T^{8} - 5043901 T^{9} + 18041717 T^{10} - 52566721 T^{11} + 205552546 T^{12} - 683367373 T^{13} + 3049050173 T^{14} - 11081450497 T^{15} + 45091449897 T^{16} - 147240694666 T^{17} + 496553149066 T^{18} - 1315020670769 T^{19} + 3573716288701 T^{20} - 6935342589942 T^{21} + 14475141644145 T^{22} - 16129443546333 T^{23} + 23298085122481 T^{24} \))(\( 1 - 18 T + 229 T^{2} - 2230 T^{3} + 18426 T^{4} - 132180 T^{5} + 849664 T^{6} - 4944275 T^{7} + 26403235 T^{8} - 130094222 T^{9} + 595492543 T^{10} - 2538749167 T^{11} + 10115848214 T^{12} - 37692765128 T^{13} + 131506026782 T^{14} - 429048609223 T^{15} + 1308297116971 T^{16} - 3715621074542 T^{17} + 9803336332855 T^{18} - 23865071068475 T^{19} + 53315155948288 T^{20} - 107823286701780 T^{21} + 195398505446898 T^{22} - 307424436823270 T^{23} + 410404730234473 T^{24} - 419365532204658 T^{25} + 302875106592253 T^{26} \))
$17$ (\( 1 - 3 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 7 T + 38 T^{2} - 119 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( 1 - 7 T + 57 T^{2} - 239 T^{3} + 969 T^{4} - 2023 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 15 T^{2} + 28 T^{3} + 255 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 + 5 T + 43 T^{2} + 129 T^{3} + 731 T^{4} + 1445 T^{5} + 4913 T^{6} \))(\( 1 - 8 T + 35 T^{2} - 183 T^{3} + 929 T^{4} - 3111 T^{5} + 10115 T^{6} - 39304 T^{7} + 83521 T^{8} \))(\( 1 - 11 T + 89 T^{2} - 509 T^{3} + 2652 T^{4} - 11484 T^{5} + 45084 T^{6} - 147101 T^{7} + 437257 T^{8} - 918731 T^{9} + 1419857 T^{10} \))(\( 1 + 5 T + 60 T^{2} + 272 T^{3} + 1985 T^{4} + 7531 T^{5} + 41060 T^{6} + 128027 T^{7} + 573665 T^{8} + 1336336 T^{9} + 5011260 T^{10} + 7099285 T^{11} + 24137569 T^{12} \))(\( ( 1 - 2 T + 17 T^{2} )^{6} \))(\( 1 + 5 T + 60 T^{2} + 274 T^{3} + 1675 T^{4} + 7673 T^{5} + 32736 T^{6} + 130441 T^{7} + 484075 T^{8} + 1346162 T^{9} + 5011260 T^{10} + 7099285 T^{11} + 24137569 T^{12} \))(\( 1 + 10 T + 112 T^{2} + 789 T^{3} + 5037 T^{4} + 27556 T^{5} + 129618 T^{6} + 579162 T^{7} + 2203506 T^{8} + 7963684 T^{9} + 24746781 T^{10} + 65898069 T^{11} + 159023984 T^{12} + 241375690 T^{13} + 410338673 T^{14} \))(\( 1 - 12 T + 154 T^{2} - 1245 T^{3} + 9878 T^{4} - 61316 T^{5} + 368832 T^{6} - 1860731 T^{7} + 9079727 T^{8} - 38054384 T^{9} + 154355359 T^{10} - 537751259 T^{11} + 1812071616 T^{12} - 5121173636 T^{13} + 14025347446 T^{14} - 30051273405 T^{15} + 63192155642 T^{16} - 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 - 4 T + 95 T^{2} - 398 T^{3} + 4362 T^{4} - 18356 T^{5} + 129458 T^{6} - 527085 T^{7} + 2821392 T^{8} - 10550450 T^{9} + 47963664 T^{10} - 152327565 T^{11} + 636027154 T^{12} - 1533111476 T^{13} + 6193416234 T^{14} - 9606752462 T^{15} + 38982173935 T^{16} - 27903029764 T^{17} + 118587876497 T^{18} \))(\( 1 + 16 T + 169 T^{2} + 1248 T^{3} + 7778 T^{4} + 41056 T^{5} + 200696 T^{6} + 905301 T^{7} + 3989280 T^{8} + 16648366 T^{9} + 67817760 T^{10} + 261631989 T^{11} + 986019448 T^{12} + 3429038176 T^{13} + 11043647746 T^{14} + 30123686112 T^{15} + 69347235737 T^{16} + 111612119056 T^{17} + 118587876497 T^{18} \))(\( 1 + 28 T + 463 T^{2} + 5504 T^{3} + 51856 T^{4} + 404158 T^{5} + 2680492 T^{6} + 15365899 T^{7} + 76944328 T^{8} + 338242374 T^{9} + 1308053576 T^{10} + 4440744811 T^{11} + 13169257196 T^{12} + 33755680318 T^{13} + 73628104592 T^{14} + 132853179776 T^{15} + 189986805599 T^{16} + 195321208348 T^{17} + 118587876497 T^{18} \))(\( 1 + 16 T + 183 T^{2} + 1334 T^{3} + 7533 T^{4} + 29240 T^{5} + 84251 T^{6} + 169239 T^{7} + 941322 T^{8} + 8789472 T^{9} + 64280790 T^{10} + 311087510 T^{11} + 1092773430 T^{12} + 2540157408 T^{13} + 4624714986 T^{14} + 14135010519 T^{15} + 119624372107 T^{16} + 705782517560 T^{17} + 3091081223709 T^{18} + 9305660426294 T^{19} + 21701581398951 T^{20} + 32255902407184 T^{21} + 34271896307633 T^{22} \))(\( 1 + 4 T + 126 T^{2} + 478 T^{3} + 7928 T^{4} + 29268 T^{5} + 332220 T^{6} + 1182395 T^{7} + 10277153 T^{8} + 34538639 T^{9} + 246444654 T^{10} + 762843696 T^{11} + 4688561020 T^{12} + 12968342832 T^{13} + 71222505006 T^{14} + 169688333407 T^{15} + 858358095713 T^{16} + 1678831817515 T^{17} + 8018983173180 T^{18} + 12009792281364 T^{19} + 55303804992248 T^{20} + 56685004965566 T^{21} + 254015231456574 T^{22} + 137087585230532 T^{23} + 582622237229761 T^{24} \))(\( 1 - 6 T + 76 T^{2} - 408 T^{3} + 2974 T^{4} - 12234 T^{5} + 71662 T^{6} - 227597 T^{7} + 1209477 T^{8} - 3092811 T^{9} + 17848174 T^{10} - 39620144 T^{11} + 282368744 T^{12} - 673542448 T^{13} + 5158122286 T^{14} - 15194980443 T^{15} + 101016728517 T^{16} - 323155193629 T^{17} + 1729746469678 T^{18} - 5020083325482 T^{19} + 20745902629534 T^{20} - 48383853610776 T^{21} + 153215536434124 T^{22} - 205631377845798 T^{23} + 582622237229761 T^{24} \))(\( 1 - 25 T + 401 T^{2} - 4764 T^{3} + 46653 T^{4} - 390107 T^{5} + 2874360 T^{6} - 18940060 T^{7} + 113180029 T^{8} - 617776027 T^{9} + 3101562359 T^{10} - 14365828137 T^{11} + 61574351498 T^{12} - 244219078329 T^{13} + 896351521751 T^{14} - 3035133620651 T^{15} + 9452909202109 T^{16} - 26892176771420 T^{17} + 69380062830840 T^{18} - 160075988708011 T^{19} + 325440011894973 T^{20} - 564952643631708 T^{21} + 808413554080049 T^{22} - 856797407690825 T^{23} + 582622237229761 T^{24} \))(\( 1 - 3 T + 123 T^{2} - 466 T^{3} + 8032 T^{4} - 32730 T^{5} + 361778 T^{6} - 1461553 T^{7} + 12226232 T^{8} - 47067853 T^{9} + 322825250 T^{10} - 1154302277 T^{11} + 6808471240 T^{12} - 22113367388 T^{13} + 115744011080 T^{14} - 333593358053 T^{15} + 1586040453250 T^{16} - 3931154150413 T^{17} + 17359501088824 T^{18} - 35278336384657 T^{19} + 148451504440594 T^{20} - 228316541043930 T^{21} + 952497824023904 T^{22} - 939453157609234 T^{23} + 4215443245838859 T^{24} - 1747866711689283 T^{25} + 9904578032905937 T^{26} \))
$19$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{7} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{13} \))
$23$ (\( 1 - 6 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 40 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 48 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - 11 T + 87 T^{2} - 439 T^{3} + 2001 T^{4} - 5819 T^{5} + 12167 T^{6} \))(\( 1 + 2 T + 61 T^{2} + 88 T^{3} + 1403 T^{4} + 1058 T^{5} + 12167 T^{6} \))(\( 1 - T + 11 T^{2} - 59 T^{3} + 253 T^{4} - 529 T^{5} + 12167 T^{6} \))(\( 1 - 12 T + 133 T^{2} - 849 T^{3} + 5001 T^{4} - 19527 T^{5} + 70357 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 38 T^{2} - 105 T^{3} - 292 T^{4} - 514 T^{5} - 6716 T^{6} - 55545 T^{7} + 462346 T^{8} - 1119364 T^{9} + 6436343 T^{10} \))(\( 1 - 9 T + 124 T^{2} - 808 T^{3} + 6701 T^{4} - 33411 T^{5} + 200232 T^{6} - 768453 T^{7} + 3544829 T^{8} - 9830936 T^{9} + 34700284 T^{10} - 57927087 T^{11} + 148035889 T^{12} \))(\( 1 + 9 T + 132 T^{2} + 815 T^{3} + 6819 T^{4} + 31982 T^{5} + 198288 T^{6} + 735586 T^{7} + 3607251 T^{8} + 9916105 T^{9} + 36939012 T^{10} + 57927087 T^{11} + 148035889 T^{12} \))(\( 1 + 12 T + 121 T^{2} + 929 T^{3} + 6032 T^{4} + 34593 T^{5} + 175436 T^{6} + 795639 T^{7} + 3190928 T^{8} + 11303143 T^{9} + 33860761 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 2 T + 78 T^{2} - 159 T^{3} + 3101 T^{4} - 5964 T^{5} + 89128 T^{6} - 153570 T^{7} + 2049944 T^{8} - 3154956 T^{9} + 37729867 T^{10} - 44494719 T^{11} + 502034754 T^{12} - 296071778 T^{13} + 3404825447 T^{14} \))(\( 1 - 11 T + 186 T^{2} - 1480 T^{3} + 14895 T^{4} - 95265 T^{5} + 718295 T^{6} - 3831708 T^{7} + 23398985 T^{8} - 105303104 T^{9} + 538176655 T^{10} - 2026973532 T^{11} + 8739495265 T^{12} - 26659052865 T^{13} + 95869328985 T^{14} - 219093115720 T^{15} + 633297533142 T^{16} - 861420838091 T^{17} + 1801152661463 T^{18} \))(\( 1 - 15 T + 199 T^{2} - 1869 T^{3} + 16018 T^{4} - 115994 T^{5} + 773046 T^{6} - 4578867 T^{7} + 25217538 T^{8} - 125348622 T^{9} + 580003374 T^{10} - 2422220643 T^{11} + 9405650682 T^{12} - 32459876954 T^{13} + 103097342174 T^{14} - 276679076541 T^{15} + 677560263953 T^{16} - 1174664779215 T^{17} + 1801152661463 T^{18} \))(\( 1 + 46 T^{2} - 209 T^{3} + 1532 T^{4} - 7812 T^{5} + 67326 T^{6} - 234375 T^{7} + 1590143 T^{8} - 7529704 T^{9} + 36573289 T^{10} - 123984375 T^{11} + 819155442 T^{12} - 2186117892 T^{13} + 9860477476 T^{14} - 30939500801 T^{15} + 156621970562 T^{16} + 1801152661463 T^{18} \))(\( 1 + 10 T + 140 T^{2} + 1061 T^{3} + 9154 T^{4} + 59854 T^{5} + 395560 T^{6} + 2254083 T^{7} + 12218033 T^{8} + 60528768 T^{9} + 281014759 T^{10} + 1192409907 T^{11} + 4812778520 T^{12} + 16749603214 T^{13} + 58918283822 T^{14} + 157066078229 T^{15} + 476675562580 T^{16} + 783109852810 T^{17} + 1801152661463 T^{18} \))(\( 1 + 11 T + 194 T^{2} + 1716 T^{3} + 17508 T^{4} + 130270 T^{5} + 989465 T^{6} + 6361430 T^{7} + 39447060 T^{8} + 222510119 T^{9} + 1178474742 T^{10} + 5856349228 T^{11} + 27104919066 T^{12} + 117707852951 T^{13} + 479952379020 T^{14} + 1780188932630 T^{15} + 6368536126495 T^{16} + 19284635260030 T^{17} + 59611683926076 T^{18} + 134381650742196 T^{19} + 349423616323822 T^{20} + 455691623350139 T^{21} + 952809757913927 T^{22} \))(\( 1 + 18 T + 277 T^{2} + 2849 T^{3} + 26965 T^{4} + 206287 T^{5} + 1504353 T^{6} + 9486742 T^{7} + 58464451 T^{8} + 322192772 T^{9} + 1766231674 T^{10} + 8812006758 T^{11} + 44173025294 T^{12} + 202676155434 T^{13} + 934336555546 T^{14} + 3920119456924 T^{15} + 16360750432291 T^{16} + 61059925464506 T^{17} + 222698233724817 T^{18} + 702371226985289 T^{19} + 2111655718102165 T^{20} + 5131483932508087 T^{21} + 11475143606180773 T^{22} + 17150575642450686 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 125 T^{2} + 231 T^{3} + 8357 T^{4} + 26107 T^{5} + 401809 T^{6} + 1556582 T^{7} + 15274147 T^{8} + 62253302 T^{9} + 475254850 T^{10} + 1850702332 T^{11} + 12085943150 T^{12} + 42566153636 T^{13} + 251409815650 T^{14} + 757435925434 T^{15} + 4274332570627 T^{16} + 10018695659626 T^{17} + 59482152523201 T^{18} + 88889777944829 T^{19} + 654444903993317 T^{20} + 416066264797953 T^{21} + 5178313901706125 T^{22} + 21914624432020321 T^{24} \))(\( 1 - 22 T + 359 T^{2} - 4313 T^{3} + 43687 T^{4} - 379849 T^{5} + 2940135 T^{6} - 20552284 T^{7} + 131883227 T^{8} - 783898094 T^{9} + 4359914946 T^{10} - 22776567696 T^{11} + 112444041402 T^{12} - 523861057008 T^{13} + 2306395006434 T^{14} - 9537688109698 T^{15} + 36906334126907 T^{16} - 132281549257412 T^{17} + 435245498505015 T^{18} - 1293319541217503 T^{19} + 3421172013971047 T^{20} - 7768371428889919 T^{21} + 14872117525699991 T^{22} - 20961814674106394 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 8 T + 150 T^{2} - 995 T^{3} + 11176 T^{4} - 64492 T^{5} + 564008 T^{6} - 2919675 T^{7} + 21809092 T^{8} - 103215072 T^{9} + 688580607 T^{10} - 3011745618 T^{11} + 18401255144 T^{12} - 74730405848 T^{13} + 423228868312 T^{14} - 1593213431922 T^{15} + 8377960245369 T^{16} - 28883808963552 T^{17} + 140370796630556 T^{18} - 432216684216075 T^{19} + 1920348790711576 T^{20} - 5050432062742252 T^{21} + 20129682144510488 T^{22} - 41219378657580755 T^{23} + 142921463687089050 T^{24} - 175316995456162568 T^{25} + 504036361936467383 T^{26} \))
$29$ (\( 1 + 9 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 8 T + 41 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 - T + 20 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 10 T^{2} + 11 T^{3} + 290 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 16 T + 163 T^{2} - 1028 T^{3} + 4727 T^{4} - 13456 T^{5} + 24389 T^{6} \))(\( 1 + 8 T + 92 T^{2} + 421 T^{3} + 2668 T^{4} + 6728 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 93 T^{2} + 291 T^{3} + 3860 T^{4} + 8439 T^{5} + 78213 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 - 5 T + 106 T^{2} - 470 T^{3} + 5456 T^{4} - 18596 T^{5} + 158224 T^{6} - 395270 T^{7} + 2585234 T^{8} - 3536405 T^{9} + 20511149 T^{10} \))(\( 1 + 12 T + 169 T^{2} + 1399 T^{3} + 12059 T^{4} + 73997 T^{5} + 461386 T^{6} + 2145913 T^{7} + 10141619 T^{8} + 34120211 T^{9} + 119530489 T^{10} + 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 21 T + 318 T^{2} - 3297 T^{3} + 28251 T^{4} - 193910 T^{5} + 1147740 T^{6} - 5623390 T^{7} + 23759091 T^{8} - 80410533 T^{9} + 224915358 T^{10} - 430734129 T^{11} + 594823321 T^{12} \))(\( 1 + 7 T + 117 T^{2} + 519 T^{3} + 5570 T^{4} + 17518 T^{5} + 175252 T^{6} + 508022 T^{7} + 4684370 T^{8} + 12657891 T^{9} + 82751877 T^{10} + 143578043 T^{11} + 594823321 T^{12} \))(\( 1 + 6 T + 110 T^{2} + 445 T^{3} + 6224 T^{4} + 20646 T^{5} + 238505 T^{6} + 650414 T^{7} + 6916645 T^{8} + 17363286 T^{9} + 151797136 T^{10} + 314740045 T^{11} + 2256226390 T^{12} + 3568939926 T^{13} + 17249876309 T^{14} \))(\( 1 - 7 T + 152 T^{2} - 1024 T^{3} + 11598 T^{4} - 70476 T^{5} + 587392 T^{6} - 3107984 T^{7} + 22026585 T^{8} - 101811162 T^{9} + 638770965 T^{10} - 2613814544 T^{11} + 14325903488 T^{12} - 49846335756 T^{13} + 237888306102 T^{14} - 609099080704 T^{15} + 2621981198968 T^{16} - 3501724890727 T^{17} + 14507145975869 T^{18} \))(\( 1 - 5 T + 189 T^{2} - 754 T^{3} + 16497 T^{4} - 54579 T^{5} + 905138 T^{6} - 2550651 T^{7} + 35227319 T^{8} - 85815094 T^{9} + 1021592251 T^{10} - 2145097491 T^{11} + 22075410682 T^{12} - 38602689699 T^{13} + 338372425053 T^{14} - 448496784034 T^{15} + 3260226622401 T^{16} - 2501232064805 T^{17} + 14507145975869 T^{18} \))(\( 1 + 2 T + 148 T^{2} + 452 T^{3} + 11158 T^{4} + 40174 T^{5} + 579852 T^{6} + 2038992 T^{7} + 22500190 T^{8} + 69939618 T^{9} + 652505510 T^{10} + 1714792272 T^{11} + 14142010428 T^{12} + 28414306894 T^{13} + 228863400542 T^{14} + 268860141092 T^{15} + 2552981693732 T^{16} + 1000492825922 T^{17} + 14507145975869 T^{18} \))(\( 1 + 91 T^{2} + 306 T^{3} + 4427 T^{4} + 23594 T^{5} + 204156 T^{6} + 910810 T^{7} + 7917781 T^{8} + 28101124 T^{9} + 229615649 T^{10} + 765991210 T^{11} + 4979160684 T^{12} + 16687587914 T^{13} + 90802856623 T^{14} + 182015936226 T^{15} + 1569738744119 T^{16} + 14507145975869 T^{18} \))(\( 1 + 7 T + 163 T^{2} + 1160 T^{3} + 14128 T^{4} + 96020 T^{5} + 832765 T^{6} + 5264185 T^{7} + 37177784 T^{8} + 214662965 T^{9} + 1322471407 T^{10} + 6929329166 T^{11} + 38351670803 T^{12} + 180531553565 T^{13} + 906728973976 T^{14} + 3723258030985 T^{15} + 17080966996985 T^{16} + 57114935282420 T^{17} + 243706252493552 T^{18} + 580285839034760 T^{19} + 2364664794066647 T^{20} + 2944950633101407 T^{21} + 12200509765705829 T^{22} \))(\( 1 - 10 T + 201 T^{2} - 1510 T^{3} + 17045 T^{4} - 103782 T^{5} + 859615 T^{6} - 4372612 T^{7} + 29965380 T^{8} - 128207764 T^{9} + 820476684 T^{10} - 3150875206 T^{11} + 22069839308 T^{12} - 91375380974 T^{13} + 690020891244 T^{14} - 3126859156196 T^{15} + 21193943931780 T^{16} - 89687296251188 T^{17} + 511319049081415 T^{18} - 1790226663100638 T^{19} + 8526700108920245 T^{20} - 21905790423562190 T^{21} + 84562153893340401 T^{22} - 122005097657058290 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 97 T^{2} + 426 T^{3} + 5573 T^{4} + 40856 T^{5} + 315915 T^{6} + 2176096 T^{7} + 15405568 T^{8} + 93892080 T^{9} + 571504484 T^{10} + 3484118014 T^{11} + 17450169620 T^{12} + 101039422406 T^{13} + 480635271044 T^{14} + 2289933939120 T^{15} + 10896065540608 T^{16} + 44634229294304 T^{17} + 187913609453715 T^{18} + 704760946480504 T^{19} + 2787873259431653 T^{20} + 6180044185720194 T^{21} + 40808601630119497 T^{22} + 353814783205469041 T^{24} \))(\( 1 - T + 94 T^{2} - 211 T^{3} + 7101 T^{4} - 10302 T^{5} + 378037 T^{6} - 607867 T^{7} + 16144533 T^{8} - 19970146 T^{9} + 601798241 T^{10} - 699227997 T^{11} + 18215670146 T^{12} - 20277611913 T^{13} + 506112320681 T^{14} - 487051890794 T^{15} + 11418721444773 T^{16} - 12468050609183 T^{17} + 224865223800877 T^{18} - 177708225735318 T^{19} + 3552249778436061 T^{20} - 3061007800908359 T^{21} + 39546479930218894 T^{22} - 12200509765705829 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 11 T + 293 T^{2} - 2706 T^{3} + 40193 T^{4} - 321951 T^{5} + 3481856 T^{6} - 24653939 T^{7} + 214943476 T^{8} - 1359010431 T^{9} + 10051369346 T^{10} - 56946727427 T^{11} + 367587386791 T^{12} - 1862125179534 T^{13} + 10660034216939 T^{14} - 47892197766107 T^{15} + 245142846979594 T^{16} - 961202256648111 T^{17} + 4408737662813924 T^{18} - 14664737871711419 T^{19} + 60061585325749504 T^{20} - 161054832899206911 T^{21} + 583085718208102717 T^{22} - 1138433773310343906 T^{23} + 3574749361351807897 T^{24} - 3891962615260159451 T^{25} + 10260628712958602189 T^{26} \))
$31$ (\( 1 + 5 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( ( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 + 5 T + 64 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 65 T^{2} - 208 T^{3} + 2015 T^{4} - 3844 T^{5} + 29791 T^{6} \))(\( 1 - 2 T + 49 T^{2} - 160 T^{3} + 1519 T^{4} - 1922 T^{5} + 29791 T^{6} \))(\( 1 + 8 T + 49 T^{2} + 152 T^{3} + 1519 T^{4} + 7688 T^{5} + 29791 T^{6} \))(\( 1 + T + 104 T^{2} + 105 T^{3} + 4566 T^{4} + 3255 T^{5} + 99944 T^{6} + 29791 T^{7} + 923521 T^{8} \))(\( 1 - 5 T + 135 T^{2} - 496 T^{3} + 7630 T^{4} - 21206 T^{5} + 236530 T^{6} - 476656 T^{7} + 4021785 T^{8} - 4617605 T^{9} + 28629151 T^{10} \))(\( 1 + 2 T + 2 T^{2} - 366 T^{3} - 193 T^{4} + 1776 T^{5} + 88604 T^{6} + 55056 T^{7} - 185473 T^{8} - 10903506 T^{9} + 1847042 T^{10} + 57258302 T^{11} + 887503681 T^{12} \))(\( 1 - 5 T + 68 T^{2} - 287 T^{3} + 1915 T^{4} - 2522 T^{5} + 47456 T^{6} - 78182 T^{7} + 1840315 T^{8} - 8550017 T^{9} + 62799428 T^{10} - 143145755 T^{11} + 887503681 T^{12} \))(\( 1 + 17 T + 278 T^{2} + 2823 T^{3} + 25911 T^{4} + 180758 T^{5} + 1131684 T^{6} + 5603498 T^{7} + 24900471 T^{8} + 84099993 T^{9} + 256738838 T^{10} + 486695567 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T + 159 T^{2} - 426 T^{3} + 11971 T^{4} - 27517 T^{5} + 555845 T^{6} - 1066828 T^{7} + 17231195 T^{8} - 26443837 T^{9} + 356628061 T^{10} - 393419946 T^{11} + 4552035009 T^{12} - 2662511043 T^{13} + 27512614111 T^{14} \))(\( 1 + 12 T + 254 T^{2} + 2480 T^{3} + 29455 T^{4} + 236744 T^{5} + 2036883 T^{6} + 13602480 T^{7} + 92589857 T^{8} + 513923480 T^{9} + 2870285567 T^{10} + 13071983280 T^{11} + 60680781453 T^{12} + 218638055624 T^{13} + 843271642705 T^{14} + 2201009128880 T^{15} + 6988203984194 T^{16} + 10234692449292 T^{17} + 26439622160671 T^{18} \))(\( 1 - T + 198 T^{2} - 142 T^{3} + 18928 T^{4} - 9904 T^{5} + 1149354 T^{6} - 461754 T^{7} + 48947231 T^{8} - 16199054 T^{9} + 1517364161 T^{10} - 443745594 T^{11} + 34240405014 T^{12} - 9146551984 T^{13} + 541892570128 T^{14} - 126025522702 T^{15} + 5447497593978 T^{16} - 852891037441 T^{17} + 26439622160671 T^{18} \))(\( 1 + 10 T + 163 T^{2} + 1209 T^{3} + 10191 T^{4} + 53643 T^{5} + 300441 T^{6} + 924503 T^{7} + 4643316 T^{8} + 7780950 T^{9} + 143942796 T^{10} + 888447383 T^{11} + 8950437831 T^{12} + 49540437003 T^{13} + 291759677841 T^{14} + 1072991950329 T^{15} + 4484556100093 T^{16} + 8528910374410 T^{17} + 26439622160671 T^{18} \))(\( 1 - 5 T + 98 T^{2} - 296 T^{3} + 4910 T^{4} - 2740 T^{5} + 140640 T^{6} + 312096 T^{7} + 3503411 T^{8} + 17203362 T^{9} + 108605741 T^{10} + 299924256 T^{11} + 4189806240 T^{12} - 2530447540 T^{13} + 140569131410 T^{14} - 262701089576 T^{15} + 2696236182878 T^{16} - 4264455187205 T^{17} + 26439622160671 T^{18} \))(\( 1 - 12 T + 207 T^{2} - 1927 T^{3} + 20712 T^{4} - 167111 T^{5} + 1390266 T^{6} - 10015042 T^{7} + 69660249 T^{8} - 450767853 T^{9} + 2718340377 T^{10} - 15758444366 T^{11} + 84268551687 T^{12} - 433187906733 T^{13} + 2075248477959 T^{14} - 9249101602882 T^{15} + 39802135244166 T^{16} - 148311627635591 T^{17} + 569841263467032 T^{18} - 1643521029148807 T^{19} + 5473001787258897 T^{20} - 9835539443769612 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 14 T + 262 T^{2} - 2649 T^{3} + 31175 T^{4} - 264176 T^{5} + 2441356 T^{6} - 18016911 T^{7} + 139806331 T^{8} - 912412221 T^{9} + 6160616494 T^{10} - 35877413715 T^{11} + 214389199162 T^{12} - 1112199825165 T^{13} + 5920352450734 T^{14} - 27181672475811 T^{15} + 129114082611451 T^{16} - 515808865572561 T^{17} + 2166712436631436 T^{18} - 7268172345387536 T^{19} + 26588878092223175 T^{20} - 70038559103617479 T^{21} + 214742611188969862 T^{22} - 355718676549667634 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 2 T + 136 T^{2} - 11 T^{3} + 9693 T^{4} + 12510 T^{5} + 518776 T^{6} + 1058553 T^{7} + 23553227 T^{8} + 51092647 T^{9} + 934297024 T^{10} + 1842012917 T^{11} + 31605417006 T^{12} + 57102400427 T^{13} + 897859440064 T^{14} + 1522101046777 T^{15} + 21751899752267 T^{16} + 30305473678503 T^{17} + 460415609614456 T^{18} + 344182802528610 T^{19} + 8267072825915613 T^{20} - 290835843767381 T^{21} + 111469447029388936 T^{22} - 50816953792809662 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 23 T + 445 T^{2} - 5917 T^{3} + 70703 T^{4} - 698985 T^{5} + 6397901 T^{6} - 51549683 T^{7} + 391319819 T^{8} - 2693480316 T^{9} + 17667357270 T^{10} - 106680145964 T^{11} + 617566877258 T^{12} - 3307084524884 T^{13} + 16978330336470 T^{14} - 80241472093956 T^{15} + 361392070562699 T^{16} - 1475823658609133 T^{17} + 5678160688173581 T^{18} - 19230904574377335 T^{19} + 60301955020191023 T^{20} - 156443244324690307 T^{21} + 364734587706456445 T^{22} - 584394968617311113 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 2 T + 199 T^{2} - 327 T^{3} + 17769 T^{4} - 23857 T^{5} + 969035 T^{6} - 1132915 T^{7} + 38927187 T^{8} - 47515578 T^{9} + 1371322541 T^{10} - 1972588838 T^{11} + 46011033826 T^{12} - 69587930342 T^{13} + 1426342048606 T^{14} - 1895657873318 T^{15} + 40853069818931 T^{16} - 43881634110138 T^{17} + 1114452314628237 T^{18} - 1005466232760115 T^{19} + 26660686015052885 T^{20} - 20347421480229937 T^{21} + 469805646172962999 T^{22} - 268018449842721927 T^{23} + 5056286902384561369 T^{24} - 1575325567577099522 T^{25} + 24417546297445042591 T^{26} \))
$37$ (\( 1 + 9 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 9 T + 86 T^{2} - 333 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 66 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 11 T + 143 T^{2} - 833 T^{3} + 5291 T^{4} - 15059 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 71 T^{2} - 172 T^{3} + 2627 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 13 T + 123 T^{2} + 949 T^{3} + 4551 T^{4} + 17797 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 130 T^{2} - 884 T^{3} + 7016 T^{4} - 32708 T^{5} + 177970 T^{6} - 455877 T^{7} + 1874161 T^{8} \))(\( 1 + 3 T + 161 T^{2} + 367 T^{3} + 11070 T^{4} + 19136 T^{5} + 409590 T^{6} + 502423 T^{7} + 8155133 T^{8} + 5622483 T^{9} + 69343957 T^{10} \))(\( 1 + 7 T + 78 T^{2} - 16 T^{3} + 599 T^{4} - 14651 T^{5} + 6304 T^{6} - 542087 T^{7} + 820031 T^{8} - 810448 T^{9} + 146184558 T^{10} + 485407699 T^{11} + 2565726409 T^{12} \))(\( 1 + 8 T + 152 T^{2} + 1200 T^{3} + 12159 T^{4} + 75296 T^{5} + 586416 T^{6} + 2785952 T^{7} + 16645671 T^{8} + 60783600 T^{9} + 284872472 T^{10} + 554751656 T^{11} + 2565726409 T^{12} \))(\( 1 + 15 T + 206 T^{2} + 1494 T^{3} + 10791 T^{4} + 48459 T^{5} + 328340 T^{6} + 1792983 T^{7} + 14772879 T^{8} + 75675582 T^{9} + 386077166 T^{10} + 1040159355 T^{11} + 2565726409 T^{12} \))(\( 1 + 3 T + 181 T^{2} + 587 T^{3} + 16105 T^{4} + 49785 T^{5} + 891645 T^{6} + 2387338 T^{7} + 32990865 T^{8} + 68155665 T^{9} + 815766565 T^{10} + 1100132507 T^{11} + 12551256217 T^{12} + 7697179227 T^{13} + 94931877133 T^{14} \))(\( 1 + 9 T + 241 T^{2} + 1763 T^{3} + 27470 T^{4} + 171864 T^{5} + 1989422 T^{6} + 10764093 T^{7} + 100997566 T^{8} + 470700878 T^{9} + 3736909942 T^{10} + 14736043317 T^{11} + 100770192566 T^{12} + 322100806104 T^{13} + 1904878498790 T^{14} + 4523375659067 T^{15} + 22878582389053 T^{16} + 31612315085289 T^{17} + 129961739795077 T^{18} \))(\( 1 + 4 T + 195 T^{2} + 658 T^{3} + 19960 T^{4} + 58410 T^{5} + 1356172 T^{6} + 3440965 T^{7} + 66883884 T^{8} + 148089038 T^{9} + 2474703708 T^{10} + 4710681085 T^{11} + 68694180316 T^{12} + 109469744010 T^{13} + 1384105381720 T^{14} + 1688247977122 T^{15} + 18511716040935 T^{16} + 14049917815684 T^{17} + 129961739795077 T^{18} \))(\( 1 + 14 T + 277 T^{2} + 2852 T^{3} + 32426 T^{4} + 260024 T^{5} + 2213082 T^{6} + 14674513 T^{7} + 105044438 T^{8} + 610422506 T^{9} + 3886644206 T^{10} + 20089408297 T^{11} + 112099242546 T^{12} + 487326839864 T^{13} + 2248547149682 T^{14} + 7317451718468 T^{15} + 26296129965841 T^{16} + 49174712354894 T^{17} + 129961739795077 T^{18} \))(\( 1 + 25 T + 334 T^{2} + 3231 T^{3} + 26434 T^{4} + 198031 T^{5} + 1451457 T^{6} + 10527915 T^{7} + 72728030 T^{8} + 462404356 T^{9} + 2690937110 T^{10} + 14412715635 T^{11} + 73520651421 T^{12} + 371141976991 T^{13} + 1833038159338 T^{14} + 8289862027479 T^{15} + 31707246962422 T^{16} + 87811986348025 T^{17} + 129961739795077 T^{18} \))(\( 1 - 3 T + 98 T^{2} - 283 T^{3} + 6431 T^{4} - 9606 T^{5} + 319403 T^{6} - 268054 T^{7} + 15530426 T^{8} - 14199723 T^{9} + 679980329 T^{10} - 789107974 T^{11} + 25159272173 T^{12} - 19439420787 T^{13} + 786662668178 T^{14} - 502376352694 T^{15} + 22148667897671 T^{16} - 24646367884854 T^{17} + 610506901842323 T^{18} - 994031685459643 T^{19} + 12736250499917546 T^{20} - 14425753117253547 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 14 T + 340 T^{2} - 3986 T^{3} + 56288 T^{4} - 559922 T^{5} + 5935740 T^{6} - 50824307 T^{7} + 442524299 T^{8} - 3295759793 T^{9} + 24531661484 T^{10} - 159907974214 T^{11} + 1036081982592 T^{12} - 5916595045918 T^{13} + 33583844571596 T^{14} - 166940120794829 T^{15} + 829361782738139 T^{16} - 3524358559162799 T^{17} + 15229484874957660 T^{18} - 53154446508063626 T^{19} + 197710443502305248 T^{20} - 518027494823176922 T^{21} + 1634918686622068660 T^{22} - 2490846704912445782 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 16 T + 404 T^{2} - 4976 T^{3} + 72318 T^{4} - 729844 T^{5} + 7866424 T^{6} - 67315069 T^{7} + 591051315 T^{8} - 4375833075 T^{9} + 32735047808 T^{10} - 212008905968 T^{11} + 1380843555700 T^{12} - 7844329520816 T^{13} + 44814280449152 T^{14} - 221649072747975 T^{15} + 1107725323571715 T^{16} - 4667893250188033 T^{17} + 20183091801191416 T^{18} - 69285460934257252 T^{19} + 254015489148658878 T^{20} - 646689617220303152 T^{21} + 1942668086456810996 T^{22} - 2846681948471366608 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + T + 153 T^{2} + 172 T^{3} + 14557 T^{4} + 17741 T^{5} + 1027620 T^{6} + 1357490 T^{7} + 57856685 T^{8} + 79884153 T^{9} + 2726402803 T^{10} + 3714046391 T^{11} + 109011214090 T^{12} + 137419716467 T^{13} + 3732445437307 T^{14} + 4046372001909 T^{15} + 108432742616285 T^{16} + 94133728187930 T^{17} + 2636591772416580 T^{18} + 1684186432216553 T^{19} + 51131163410727997 T^{20} + 22353419244753244 T^{21} + 735713408979930897 T^{22} + 177917621779460413 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 26 T + 529 T^{2} - 7904 T^{3} + 103262 T^{4} - 1169056 T^{5} + 12019094 T^{6} - 112358959 T^{7} + 973023469 T^{8} - 7821880362 T^{9} + 58927065033 T^{10} - 415931966177 T^{11} + 2767794504844 T^{12} - 17322216197496 T^{13} + 102408396679228 T^{14} - 569410861696313 T^{15} + 2984832625116549 T^{16} - 14659463121126282 T^{17} + 67473297594326833 T^{18} - 288282348394048231 T^{19} + 1140995154857977502 T^{20} - 4106285180483068576 T^{21} + 13420109174719241174 T^{22} - 38007050879590678496 T^{23} + 94118421921334558477 T^{24} - \)\(17\!\cdots\!06\)\( T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( 1 + 2 T + 66 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 - 14 T + 162 T^{2} - 1103 T^{3} + 6642 T^{4} - 23534 T^{5} + 68921 T^{6} \))(\( ( 1 + 4 T + 41 T^{2} )^{3} \))(\( 1 + 32 T^{2} - 287 T^{3} + 1312 T^{4} + 68921 T^{6} \))(\( 1 - 6 T + 129 T^{2} - 553 T^{3} + 7352 T^{4} - 22673 T^{5} + 216849 T^{6} - 413526 T^{7} + 2825761 T^{8} \))(\( 1 - 24 T + 400 T^{2} - 4519 T^{3} + 41023 T^{4} - 289010 T^{5} + 1681943 T^{6} - 7596439 T^{7} + 27568400 T^{8} - 67818264 T^{9} + 115856201 T^{10} \))(\( 1 + 18 T + 335 T^{2} + 3655 T^{3} + 38475 T^{4} + 294995 T^{5} + 2164122 T^{6} + 12094795 T^{7} + 64676475 T^{8} + 251906255 T^{9} + 946629935 T^{10} + 2085411618 T^{11} + 4750104241 T^{12} \))(\( 1 - 16 T + 266 T^{2} - 2640 T^{3} + 25423 T^{4} - 185824 T^{5} + 1326956 T^{6} - 7618784 T^{7} + 42736063 T^{8} - 181951440 T^{9} + 751652426 T^{10} - 1853699216 T^{11} + 4750104241 T^{12} \))(\( 1 + 12 T + 253 T^{2} + 2095 T^{3} + 25373 T^{4} + 159093 T^{5} + 1375802 T^{6} + 6522813 T^{7} + 42652013 T^{8} + 144389495 T^{9} + 714917533 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} \))(\( 1 + 12 T + 230 T^{2} + 1965 T^{3} + 23416 T^{4} + 160784 T^{5} + 1442345 T^{6} + 8098942 T^{7} + 59136145 T^{8} + 270277904 T^{9} + 1613854136 T^{10} + 5552620365 T^{11} + 26646926230 T^{12} + 57001250892 T^{13} + 194754273881 T^{14} \))(\( 1 + 4 T + 234 T^{2} + 833 T^{3} + 28007 T^{4} + 87198 T^{5} + 2177373 T^{6} + 5926383 T^{7} + 120832265 T^{8} + 285048700 T^{9} + 4954122865 T^{10} + 9962249823 T^{11} + 150066724533 T^{12} + 246400707678 T^{13} + 3244784621407 T^{14} + 3956836832753 T^{15} + 45572500088154 T^{16} + 31939700916484 T^{17} + 327381934393961 T^{18} \))(\( 1 - 5 T + 315 T^{2} - 1369 T^{3} + 45208 T^{4} - 170362 T^{5} + 3922507 T^{6} - 12739029 T^{7} + 229032721 T^{8} - 632291654 T^{9} + 9390341561 T^{10} - 21414307749 T^{11} + 270343104947 T^{12} - 481402295482 T^{13} + 5237627134808 T^{14} - 6502892705929 T^{15} + 61347596272515 T^{16} - 39924626145605 T^{17} + 327381934393961 T^{18} \))(\( 1 + 21 T + 365 T^{2} + 4359 T^{3} + 47586 T^{4} + 427874 T^{5} + 3668915 T^{6} + 27556397 T^{7} + 200665973 T^{8} + 1303747130 T^{9} + 8227304893 T^{10} + 46322303357 T^{11} + 252865290715 T^{12} + 1209069662114 T^{13} + 5513133180786 T^{14} + 20705704386519 T^{15} + 71085309966565 T^{16} + 167683429811541 T^{17} + 327381934393961 T^{18} \))(\( 1 + 7 T + 229 T^{2} + 779 T^{3} + 20930 T^{4} + 18604 T^{5} + 1241203 T^{6} - 747759 T^{7} + 61086109 T^{8} - 57378350 T^{9} + 2504530469 T^{10} - 1256982879 T^{11} + 85544951963 T^{12} + 52570457644 T^{13} + 2424870286930 T^{14} + 3700331203739 T^{15} + 44598728718749 T^{16} + 55894476603847 T^{17} + 327381934393961 T^{18} \))(\( 1 - 11 T + 311 T^{2} - 2705 T^{3} + 45635 T^{4} - 343947 T^{5} + 4370628 T^{6} - 29198142 T^{7} + 303092829 T^{8} - 1804913570 T^{9} + 16003133244 T^{10} - 84591371122 T^{11} + 656128463004 T^{12} - 3034059711170 T^{13} + 20889460867509 T^{14} - 82506970936062 T^{15} + 506364356064228 T^{16} - 1633784103379227 T^{17} + 8887611288559435 T^{18} - 21599222744772305 T^{19} + 101815781596521871 T^{20} - 147649252411676411 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 9 T + 206 T^{2} + 1144 T^{3} + 18788 T^{4} + 66254 T^{5} + 1119533 T^{6} + 1821259 T^{7} + 52493749 T^{8} + 5197468 T^{9} + 2300048053 T^{10} - 1680157150 T^{11} + 96255910220 T^{12} - 68886443150 T^{13} + 3866380777093 T^{14} + 358214692028 T^{15} + 148334788667989 T^{16} + 211004148777059 T^{17} + 5317898451239453 T^{18} + 12903249661711774 T^{19} + 150020775204725348 T^{20} + 374524932946691384 T^{21} + 2765067817891394606 T^{22} + 4952961285446235969 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 7 T + 166 T^{2} - 1154 T^{3} + 13572 T^{4} - 75580 T^{5} + 627785 T^{6} - 1861539 T^{7} + 10614593 T^{8} + 75160310 T^{9} - 595293375 T^{10} + 8714916874 T^{11} - 45677427724 T^{12} + 357311591834 T^{13} - 1000688163375 T^{14} + 5180123725510 T^{15} + 29994302930273 T^{16} - 215670836553339 T^{17} + 2982044190936185 T^{18} - 14719528019925980 T^{19} + 108371405209630212 T^{20} - 377798752290630994 T^{21} + 2228161445485298566 T^{22} - 3852303222013739087 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 15 T + 388 T^{2} + 4794 T^{3} + 72092 T^{4} + 745880 T^{5} + 8424369 T^{6} + 74587795 T^{7} + 691255809 T^{8} + 5325124642 T^{9} + 42167491899 T^{10} + 285108637746 T^{11} + 1967933018180 T^{12} + 11689454147586 T^{13} + 70883553882219 T^{14} + 367012915451282 T^{15} + 1953323706095649 T^{16} + 8641458569666795 T^{17} + 40016630914648929 T^{18} + 145263317802360280 T^{19} + 575649229617791132 T^{20} + 1569468993484649034 T^{21} + 5207991812339131588 T^{22} + 8254935475743726615 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 3 T + 257 T^{2} - 1467 T^{3} + 34740 T^{4} - 253508 T^{5} + 3491069 T^{6} - 25669713 T^{7} + 278109082 T^{8} - 1883021097 T^{9} + 17430580176 T^{10} - 108869351172 T^{11} + 872814080755 T^{12} - 5013746853344 T^{13} + 35785377310955 T^{14} - 183009379320132 T^{15} + 1201333016310096 T^{16} - 5320967578079817 T^{17} + 32220661704117482 T^{18} - 121933812586552833 T^{19} + 679900608163468789 T^{20} - 2024242424984006468 T^{21} + 11373248400846205140 T^{22} - 19691041207993572267 T^{23} + \)\(14\!\cdots\!37\)\( T^{24} - 67690470901098558243 T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 15 T + 134 T^{2} - 645 T^{3} + 1849 T^{4} \))(\( 1 + 15 T + 138 T^{2} + 645 T^{3} + 1849 T^{4} \))(\( 1 + 11 T + 147 T^{2} + 879 T^{3} + 6321 T^{4} + 20339 T^{5} + 79507 T^{6} \))(\( 1 + 6 T + 61 T^{2} + 92 T^{3} + 2623 T^{4} + 11094 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 149 T^{2} - 787 T^{3} + 6407 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 12 T + 81 T^{2} - 249 T^{3} + 315 T^{4} - 10707 T^{5} + 149769 T^{6} - 954084 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T + 126 T^{2} - 111 T^{3} + 4236 T^{4} + 15222 T^{5} + 182148 T^{6} - 205239 T^{7} + 10017882 T^{8} - 20512806 T^{9} + 147008443 T^{10} \))(\( 1 + 11 T + 172 T^{2} + 1702 T^{3} + 15653 T^{4} + 127691 T^{5} + 839300 T^{6} + 5490713 T^{7} + 28942397 T^{8} + 135320914 T^{9} + 588033772 T^{10} + 1617092873 T^{11} + 6321363049 T^{12} \))(\( 1 + 5 T + 152 T^{2} + 187 T^{3} + 7935 T^{4} - 20550 T^{5} + 282368 T^{6} - 883650 T^{7} + 14671815 T^{8} + 14867809 T^{9} + 519657752 T^{10} + 735042215 T^{11} + 6321363049 T^{12} \))(\( 1 + 4 T + 213 T^{2} + 633 T^{3} + 20088 T^{4} + 46213 T^{5} + 1100572 T^{6} + 1987159 T^{7} + 37142712 T^{8} + 50327931 T^{9} + 728204613 T^{10} + 588033772 T^{11} + 6321363049 T^{12} \))(\( 1 + 26 T + 468 T^{2} + 6125 T^{3} + 67933 T^{4} + 626432 T^{5} + 5065442 T^{6} + 35248362 T^{7} + 217814006 T^{8} + 1158272768 T^{9} + 5401149031 T^{10} + 20940156125 T^{11} + 68799951324 T^{12} + 164355439274 T^{13} + 271818611107 T^{14} \))(\( 1 - 23 T + 488 T^{2} - 6590 T^{3} + 82757 T^{4} - 813497 T^{5} + 7608593 T^{6} - 59917394 T^{7} + 457786639 T^{8} - 3035426000 T^{9} + 19684825477 T^{10} - 110787261506 T^{11} + 604936403651 T^{12} - 2781184357097 T^{13} + 12165977717351 T^{14} - 41657782492910 T^{15} + 132647482220216 T^{16} - 268828606384823 T^{17} + 502592611936843 T^{18} \))(\( 1 - 27 T + 525 T^{2} - 7591 T^{3} + 94556 T^{4} - 1001202 T^{5} + 9482608 T^{6} - 79558113 T^{7} + 607521420 T^{8} - 4168110150 T^{9} + 26123421060 T^{10} - 147102950937 T^{11} + 753933714256 T^{12} - 3422910398802 T^{13} + 13900530336308 T^{14} - 47985466904959 T^{15} + 142704770831175 T^{16} - 315581407495227 T^{17} + 502592611936843 T^{18} \))(\( 1 + 4 T + 178 T^{2} + 247 T^{3} + 15626 T^{4} + 5768 T^{5} + 1051956 T^{6} - 40543 T^{7} + 54205619 T^{8} - 17058136 T^{9} + 2330841617 T^{10} - 74964007 T^{11} + 83637865692 T^{12} + 19719644168 T^{13} + 2297153930318 T^{14} + 1561376673103 T^{15} + 48383712777046 T^{16} + 46752801110404 T^{17} + 502592611936843 T^{18} \))(\( 1 + 16 T + 370 T^{2} + 4261 T^{3} + 57936 T^{4} + 527928 T^{5} + 5341518 T^{6} + 40173363 T^{7} + 328239423 T^{8} + 2070822992 T^{9} + 14114295189 T^{10} + 74280548187 T^{11} + 424688071626 T^{12} + 1804880774328 T^{13} + 8517081153648 T^{14} + 26935327951789 T^{15} + 100572886109590 T^{16} + 187011204441616 T^{17} + 502592611936843 T^{18} \))(\( 1 - 7 T + 254 T^{2} - 1828 T^{3} + 28016 T^{4} - 189850 T^{5} + 1708741 T^{6} - 9323822 T^{7} + 60537376 T^{8} - 170629807 T^{9} + 1406280154 T^{10} + 57487268 T^{11} + 60470046622 T^{12} - 315494513143 T^{13} + 4813145153632 T^{14} - 31876291977422 T^{15} + 251199353900263 T^{16} - 1200110774852650 T^{17} + 7615270208773712 T^{18} - 21366030107454628 T^{19} + 127658523431958122 T^{20} - 151280376192989743 T^{21} + 929293739471222707 T^{22} \))(\( 1 + 4 T + 153 T^{2} + 151 T^{3} + 11075 T^{4} - 8019 T^{5} + 696245 T^{6} - 573064 T^{7} + 42683803 T^{8} - 26391044 T^{9} + 2192892010 T^{10} - 2234107318 T^{11} + 96420458114 T^{12} - 96066614674 T^{13} + 4054657326490 T^{14} - 2098272735308 T^{15} + 145927428380203 T^{16} - 84245246379352 T^{17} + 4401217416051005 T^{18} - 2179713442467033 T^{19} + 129446818074431075 T^{20} + 75891484402463293 T^{21} + 3306556793932490097 T^{22} + 3717174957884890828 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 24 T + 629 T^{2} - 10323 T^{3} + 163695 T^{4} - 2065163 T^{5} + 24644365 T^{6} - 252817374 T^{7} + 2445485667 T^{8} - 21009717358 T^{9} + 170284725302 T^{10} - 1243500740060 T^{11} + 8572892064154 T^{12} - 53470531822580 T^{13} + 314856457083398 T^{14} - 1670419597982506 T^{15} + 8360628843825267 T^{16} - 37166288515088682 T^{17} + 155785978277068885 T^{18} - 561349738369565441 T^{19} + 1913299944441895695 T^{20} - 5188263533024030289 T^{21} + 13593622375055792621 T^{22} - 22303049747309344968 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 2 T + 233 T^{2} - 287 T^{3} + 25751 T^{4} - 2581 T^{5} + 1822165 T^{6} + 2603366 T^{7} + 94853259 T^{8} + 308963208 T^{9} + 4122552186 T^{10} + 19951457638 T^{11} + 173311159930 T^{12} + 857912678434 T^{13} + 7622598991914 T^{14} + 24564737778456 T^{15} + 324284416722459 T^{16} + 382716782219138 T^{17} + 11518566500181085 T^{18} - 701563835267167 T^{19} + 300982845348503351 T^{20} - 144244079625873941 T^{21} + 5035475378995230017 T^{22} - 1858587478942445414 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 24 T + 530 T^{2} - 7595 T^{3} + 104532 T^{4} - 1156702 T^{5} + 12558348 T^{6} - 117673007 T^{7} + 1088298600 T^{8} - 8950722176 T^{9} + 72757627443 T^{10} - 533590726990 T^{11} + 3871341804992 T^{12} - 25513634843988 T^{13} + 166467697614656 T^{14} - 986609254204510 T^{15} + 5784740685110601 T^{16} - 30600737926030976 T^{17} + 159989082705079800 T^{18} - 743853798314518343 T^{19} + 3413592711158371236 T^{20} - 13519764637501631902 T^{21} + 52537010910982072476 T^{22} - \)\(16\!\cdots\!55\)\( T^{23} + \)\(49\!\cdots\!10\)\( T^{24} - \)\(95\!\cdots\!24\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))
$47$ (\( 1 - 13 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 13 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 3 T + 22 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 26 T^{2} + 2209 T^{4} \))(\( 1 + 11 T + 164 T^{2} + 1007 T^{3} + 7708 T^{4} + 24299 T^{5} + 103823 T^{6} \))(\( 1 - 22 T + 289 T^{2} - 2374 T^{3} + 13583 T^{4} - 48598 T^{5} + 103823 T^{6} \))(\( 1 + 13 T + 132 T^{2} + 873 T^{3} + 6204 T^{4} + 28717 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 89 T^{2} - 180 T^{3} + 4758 T^{4} - 8460 T^{5} + 196601 T^{6} - 311469 T^{7} + 4879681 T^{8} \))(\( 1 + 23 T + 378 T^{2} + 4421 T^{3} + 41517 T^{4} + 314152 T^{5} + 1951299 T^{6} + 9765989 T^{7} + 39245094 T^{8} + 112232663 T^{9} + 229345007 T^{10} \))(\( 1 + 5 T + 229 T^{2} + 788 T^{3} + 22341 T^{4} + 55241 T^{5} + 1295844 T^{6} + 2596327 T^{7} + 49351269 T^{8} + 81812524 T^{9} + 1117446949 T^{10} + 1146725035 T^{11} + 10779215329 T^{12} \))(\( 1 - 16 T + 268 T^{2} - 2826 T^{3} + 28891 T^{4} - 229834 T^{5} + 1744960 T^{6} - 10802198 T^{7} + 63820219 T^{8} - 293403798 T^{9} + 1307754508 T^{10} - 3669520112 T^{11} + 10779215329 T^{12} \))(\( 1 + 29 T + 547 T^{2} + 7432 T^{3} + 81225 T^{4} + 723457 T^{5} + 5427798 T^{6} + 34002479 T^{7} + 179426025 T^{8} + 771612536 T^{9} + 2669185507 T^{10} + 6651005203 T^{11} + 10779215329 T^{12} \))(\( 1 - 17 T + 256 T^{2} - 2681 T^{3} + 25732 T^{4} - 211135 T^{5} + 1637203 T^{6} - 11581674 T^{7} + 76948541 T^{8} - 466397215 T^{9} + 2671573436 T^{10} - 13082424761 T^{11} + 58712321792 T^{12} - 183246660593 T^{13} + 506623120463 T^{14} \))(\( 1 - 35 T + 818 T^{2} - 13847 T^{3} + 193227 T^{4} - 2263832 T^{5} + 23203575 T^{6} - 209101393 T^{7} + 1688272269 T^{8} - 12186761370 T^{9} + 79348796643 T^{10} - 461904977137 T^{11} + 2409064767225 T^{12} - 11046777997592 T^{13} + 44315647667589 T^{14} - 149259794660663 T^{15} + 414417712538734 T^{16} - 833395033161635 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 252 T^{2} + 301 T^{3} + 31382 T^{4} + 56410 T^{5} + 2632137 T^{6} + 4987774 T^{7} + 163353922 T^{8} + 282222870 T^{9} + 7677634334 T^{10} + 11017992766 T^{11} + 273276359751 T^{12} + 275262805210 T^{13} + 7197305009674 T^{14} + 3244543814029 T^{15} + 127669026356676 T^{16} + 1119130473102767 T^{18} \))(\( 1 + 8 T + 318 T^{2} + 1871 T^{3} + 44588 T^{4} + 196804 T^{5} + 3814163 T^{6} + 13087044 T^{7} + 232493014 T^{8} + 671128762 T^{9} + 10927171658 T^{10} + 28909280196 T^{11} + 395997845149 T^{12} + 960340739524 T^{13} + 10226035172116 T^{14} + 20167911880559 T^{15} + 161106152307234 T^{16} + 190490293294088 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 9 T + 217 T^{2} + 1377 T^{3} + 17386 T^{4} + 55778 T^{5} + 463249 T^{6} - 2301431 T^{7} - 12983767 T^{8} - 264529406 T^{9} - 610237049 T^{10} - 5083861079 T^{11} + 48095900927 T^{12} + 272178846818 T^{13} + 3987392291702 T^{14} + 14842979508033 T^{15} + 109937217140471 T^{16} + 214301579955849 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 37 T + 961 T^{2} + 18079 T^{3} + 283801 T^{4} + 3757391 T^{5} + 43918102 T^{6} + 455166870 T^{7} + 4274135363 T^{8} + 36384289722 T^{9} + 284133579722 T^{10} + 2029934153562 T^{11} + 13354278246934 T^{12} + 80372895995898 T^{13} + 443753555792749 T^{14} + 2221069127368470 T^{15} + 10072397410616714 T^{16} + 40501726664246639 T^{17} + 143780148210519863 T^{18} + 430484251557977119 T^{19} + 1075484384651759087 T^{20} + 1946167892725711813 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + 14 T + 397 T^{2} + 4457 T^{3} + 71645 T^{4} + 670595 T^{5} + 7928806 T^{6} + 63746013 T^{7} + 617137951 T^{8} + 4390698577 T^{9} + 37237575967 T^{10} + 241901661008 T^{11} + 1881552850466 T^{12} + 11369378067376 T^{13} + 82257805311103 T^{14} + 455855498359871 T^{15} + 3011436333873631 T^{16} + 14619829797707091 T^{17} + 85466307175867174 T^{18} + 339738931466885485 T^{19} + 1705959632881866845 T^{20} + 4987964518619032519 T^{21} + 20881855497624529453 T^{22} + 34610229011176172242 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 359 T^{2} - 1723 T^{3} + 60907 T^{4} - 345403 T^{5} + 6540414 T^{6} - 42888383 T^{7} + 506613775 T^{8} - 3689170755 T^{9} + 30846703871 T^{10} - 231920333144 T^{11} + 1568159043250 T^{12} - 10900255657768 T^{13} + 68140368851039 T^{14} - 383020775296365 T^{15} + 2472113612205775 T^{16} - 9836236499353681 T^{17} + 70500530846806206 T^{18} - 174989145677281589 T^{19} + 1450274036707877227 T^{20} - 1928261805156067541 T^{21} + 18883088472662987591 T^{22} - 9888636860336049212 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 11 T + 376 T^{2} - 3620 T^{3} + 66852 T^{4} - 558038 T^{5} + 7433127 T^{6} - 54174315 T^{7} + 586439367 T^{8} - 3799206258 T^{9} + 35897346273 T^{10} - 211671258188 T^{11} + 1825396231912 T^{12} - 9948549134836 T^{13} + 79297237917057 T^{14} - 394444991324334 T^{15} + 2861637036801927 T^{16} - 12424608652895205 T^{17} + 80123276500803783 T^{18} - 282714952896931594 T^{19} + 1591832135912046372 T^{20} - 4051252312632016540 T^{21} + 19777273720672098424 T^{22} - 27193751365924135333 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 268 T^{2} - 1033 T^{3} + 36836 T^{4} - 122200 T^{5} + 3395347 T^{6} - 8423020 T^{7} + 234170305 T^{8} - 353238168 T^{9} + 13083450776 T^{10} - 8602214943 T^{11} + 645830400529 T^{12} - 191333851936 T^{13} + 30354028824863 T^{14} - 19002292809087 T^{15} + 1358363109916648 T^{16} - 1723689576864408 T^{17} + 53705790239417135 T^{18} - 90793546300473580 T^{19} + 1720161292194685661 T^{20} - 2909739230067194200 T^{21} + 41224290107213525212 T^{22} - 54334903599612440617 T^{23} + \)\(66\!\cdots\!04\)\( T^{24} - \)\(46\!\cdots\!64\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))
$53$ (\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{7} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{13} \))
$59$ (\( 1 + 5 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 13 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 + 14 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 16 T + 149 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 - 5 T + 18 T^{2} - 295 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 34 T^{2} + 225 T^{3} + 2006 T^{4} - 20886 T^{5} + 205379 T^{6} \))(\( 1 - 8 T + 169 T^{2} - 928 T^{3} + 9971 T^{4} - 27848 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 204 T^{2} + 1389 T^{3} + 12036 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 15 T + 313 T^{2} + 2817 T^{3} + 30091 T^{4} + 166203 T^{5} + 1089553 T^{6} + 3080685 T^{7} + 12117361 T^{8} \))(\( 1 - 11 T + 270 T^{2} - 2240 T^{3} + 30618 T^{4} - 188132 T^{5} + 1806462 T^{6} - 7797440 T^{7} + 55452330 T^{8} - 133290971 T^{9} + 714924299 T^{10} \))(\( 1 - 2 T + 201 T^{2} - 843 T^{3} + 18383 T^{4} - 112489 T^{5} + 1175966 T^{6} - 6636851 T^{7} + 63991223 T^{8} - 173134497 T^{9} + 2435589561 T^{10} - 1429848598 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T + 246 T^{2} - 1569 T^{3} + 26375 T^{4} - 131052 T^{5} + 1811860 T^{6} - 7732068 T^{7} + 91811375 T^{8} - 322239651 T^{9} + 2980870806 T^{10} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T + 325 T^{2} - 2181 T^{3} + 44044 T^{4} - 228320 T^{5} + 3345116 T^{6} - 13470880 T^{7} + 153317164 T^{8} - 447931599 T^{9} + 3938142325 T^{10} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 7 T + 218 T^{2} - 1502 T^{3} + 28455 T^{4} - 160717 T^{5} + 2358570 T^{6} - 11767452 T^{7} + 139155630 T^{8} - 559455877 T^{9} + 5844059445 T^{10} - 18200276222 T^{11} + 155853497182 T^{12} - 295263735487 T^{13} + 2488651484819 T^{14} \))(\( 1 - 14 T + 355 T^{2} - 3767 T^{3} + 55803 T^{4} - 469223 T^{5} + 5270813 T^{6} - 37409639 T^{7} + 364776252 T^{8} - 2355300378 T^{9} + 21521798868 T^{10} - 130222953359 T^{11} + 1082514303127 T^{12} - 5685744480503 T^{13} + 39894920657097 T^{14} - 158894070225647 T^{15} + 883471277110745 T^{16} - 2055626126460494 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 7 T + 151 T^{2} - 120 T^{3} + 8685 T^{4} + 32869 T^{5} + 617438 T^{6} + 3000109 T^{7} + 35453595 T^{8} + 258722514 T^{9} + 2091762105 T^{10} + 10443379429 T^{11} + 126808799002 T^{12} + 398285538709 T^{13} + 6209117536815 T^{14} - 5061664036920 T^{15} + 375786374207669 T^{16} - 1027813063230247 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 12 T + 446 T^{2} + 4422 T^{3} + 91338 T^{4} + 766258 T^{5} + 11414970 T^{6} + 81497346 T^{7} + 962393800 T^{8} + 5807367456 T^{9} + 56781234200 T^{10} + 283692261426 T^{11} + 2344395123630 T^{12} + 9285024805138 T^{13} + 65299755622062 T^{14} + 186522319760502 T^{15} + 1109938562229274 T^{16} + 1761965251251852 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 3 T + 95 T^{2} + 36 T^{3} + 10809 T^{4} + 21035 T^{5} + 734662 T^{6} + 259951 T^{7} + 52896539 T^{8} + 109591438 T^{9} + 3120895801 T^{10} + 904889431 T^{11} + 150884146898 T^{12} + 254888688635 T^{13} + 7727616747891 T^{14} + 1518499211076 T^{15} + 236421891057805 T^{16} + 440491312812963 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 16 T + 506 T^{2} + 6032 T^{3} + 103517 T^{4} + 951448 T^{5} + 11403524 T^{6} + 81585588 T^{7} + 768371536 T^{8} + 4414384312 T^{9} + 39019869652 T^{10} + 220404658440 T^{11} + 2302172309468 T^{12} + 15366471790072 T^{13} + 157807377692144 T^{14} + 988602022193268 T^{15} + 8152656401829676 T^{16} + 40132584371662168 T^{17} + 257617735754008423 T^{18} + 885681199629264272 T^{19} + 4383475884239399134 T^{20} + 8177868052810262416 T^{21} + 30155888444737842659 T^{22} \))(\( 1 + 18 T + 663 T^{2} + 9600 T^{3} + 200429 T^{4} + 2424716 T^{5} + 36988255 T^{6} + 382245750 T^{7} + 4673888770 T^{8} + 41762236780 T^{9} + 427749299366 T^{10} + 3319410455900 T^{11} + 29134332721224 T^{12} + 195845216898100 T^{13} + 1488995311093046 T^{14} + 8577086427639620 T^{15} + 56635197499935970 T^{16} + 273276774864479250 T^{17} + 1560184334349386455 T^{18} + 6034273073664386404 T^{19} + 29429077778596453709 T^{20} + 83164759859087414400 T^{21} + \)\(33\!\cdots\!63\)\( T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 2 T + 425 T^{2} - 782 T^{3} + 88853 T^{4} - 148438 T^{5} + 12276169 T^{6} - 18637146 T^{7} + 1262304326 T^{8} - 1749724342 T^{9} + 102239323896 T^{10} - 129170121742 T^{11} + 6688633977524 T^{12} - 7621037182778 T^{13} + 355895086481976 T^{14} - 359356635635618 T^{15} + 15295797210003686 T^{16} - 13324148539410654 T^{17} + 517815359487101329 T^{18} - 369410449103562722 T^{19} + 13046324872456733813 T^{20} - 6774462730188162298 T^{21} + \)\(21\!\cdots\!25\)\( T^{22} - 60311776889475685318 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 3 T + 248 T^{2} - 369 T^{3} + 39031 T^{4} - 19410 T^{5} + 4366205 T^{6} + 1216027 T^{7} + 397020031 T^{8} + 288715740 T^{9} + 29711899243 T^{10} + 27402516177 T^{11} + 1904841582242 T^{12} + 1616748454443 T^{13} + 103427121264883 T^{14} + 59296149965460 T^{15} + 4810835039858191 T^{16} + 869367250540073 T^{17} + 184168856886002405 T^{18} - 48304725320336790 T^{19} + 5730938810134252951 T^{20} - 3196645457083672491 T^{21} + \)\(12\!\cdots\!48\)\( T^{22} - 90467665334213527977 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 8 T + 488 T^{2} - 4056 T^{3} + 116702 T^{4} - 955302 T^{5} + 18233248 T^{6} - 141093644 T^{7} + 2084160979 T^{8} - 14904118150 T^{9} + 185090156460 T^{10} - 1213436893580 T^{11} + 13261524523706 T^{12} - 79351524183736 T^{13} + 782429946898654 T^{14} - 4223973826551980 T^{15} + 38013631243598340 T^{16} - 180598580010202150 T^{17} + 1490017326914728721 T^{18} - 5951405197273277804 T^{19} + 45376199708273062112 T^{20} - \)\(14\!\cdots\!42\)\( T^{21} + \)\(10\!\cdots\!78\)\( T^{22} - \)\(20\!\cdots\!56\)\( T^{23} + \)\(14\!\cdots\!92\)\( T^{24} - \)\(14\!\cdots\!48\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))
$61$ (\( 1 - 5 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 5 T + 120 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 + 18 T + 186 T^{2} + 1098 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 138 T^{2} + 1071 T^{3} + 8418 T^{4} + 37210 T^{5} + 226981 T^{6} \))(\( 1 + 6 T + 67 T^{2} + 132 T^{3} + 4087 T^{4} + 22326 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 284 T^{2} + 2377 T^{3} + 17324 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 4 T + 103 T^{2} - 175 T^{3} + 4822 T^{4} - 10675 T^{5} + 383263 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( 1 - 16 T + 288 T^{2} - 3261 T^{3} + 33585 T^{4} - 281770 T^{5} + 2048685 T^{6} - 12134181 T^{7} + 65370528 T^{8} - 221533456 T^{9} + 844596301 T^{10} \))(\( 1 + 12 T + 207 T^{2} + 921 T^{3} + 6025 T^{4} - 71297 T^{5} - 359682 T^{6} - 4349117 T^{7} + 22419025 T^{8} + 209049501 T^{9} + 2866089087 T^{10} + 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 - 20 T + 332 T^{2} - 4264 T^{3} + 46263 T^{4} - 441732 T^{5} + 3581480 T^{6} - 26945652 T^{7} + 172144623 T^{8} - 967846984 T^{9} + 4596819212 T^{10} - 16891926020 T^{11} + 51520374361 T^{12} \))(\( 1 + 16 T + 251 T^{2} + 1349 T^{3} + 5849 T^{4} - 90945 T^{5} - 692634 T^{6} - 5547645 T^{7} + 21764129 T^{8} + 306197369 T^{9} + 3475306091 T^{10} + 13513540816 T^{11} + 51520374361 T^{12} \))(\( 1 + 18 T + 232 T^{2} + 3029 T^{3} + 30886 T^{4} + 293890 T^{5} + 2645765 T^{6} + 21026718 T^{7} + 161391665 T^{8} + 1093564690 T^{9} + 7010535166 T^{10} + 41939052389 T^{11} + 195946341832 T^{12} + 927366738498 T^{13} + 3142742836021 T^{14} \))(\( 1 - 14 T + 418 T^{2} - 4419 T^{3} + 77909 T^{4} - 685740 T^{5} + 9158979 T^{6} - 69482597 T^{7} + 761575889 T^{8} - 4986790796 T^{9} + 46456129229 T^{10} - 258544743437 T^{11} + 2078914212399 T^{12} - 9494647007340 T^{13} + 65801653214609 T^{14} - 227668534301259 T^{15} + 1313666505456778 T^{16} - 2683902381961934 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 5 T + 351 T^{2} - 1470 T^{3} + 60893 T^{4} - 222337 T^{5} + 6879394 T^{6} - 22133155 T^{7} + 560335029 T^{8} - 1580330634 T^{9} + 34180436769 T^{10} - 82357469755 T^{11} + 1561491729514 T^{12} - 3078442750417 T^{13} + 51430002556793 T^{14} - 75734950310670 T^{15} + 1103102735443371 T^{16} - 958536564986405 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 13 T + 259 T^{2} + 2270 T^{3} + 31025 T^{4} + 219131 T^{5} + 2605882 T^{6} + 15936701 T^{7} + 176122951 T^{8} + 981151638 T^{9} + 10743500011 T^{10} + 59300464421 T^{11} + 591485702242 T^{12} + 3034052984171 T^{13} + 26203600238525 T^{14} + 116951249799470 T^{15} + 813970394529439 T^{16} + 2492195068964653 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 16 T + 479 T^{2} + 6584 T^{3} + 107417 T^{4} + 1230672 T^{5} + 14591754 T^{6} + 137872698 T^{7} + 1308299009 T^{8} + 10207642764 T^{9} + 79806239549 T^{10} + 513024309258 T^{11} + 3312050914674 T^{12} + 17039688835152 T^{13} + 90724000864517 T^{14} + 339210144792824 T^{15} + 1505373818454059 T^{16} + 3067317007956496 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 24 T + 661 T^{2} - 10794 T^{3} + 178276 T^{4} - 2258942 T^{5} + 28235013 T^{6} - 296228966 T^{7} + 3054104252 T^{8} - 27508310034 T^{9} + 243772105121 T^{10} - 1918589268944 T^{11} + 14870098412381 T^{12} - 102358421636514 T^{13} + 693223637223212 T^{14} - 4101539162830406 T^{15} + 23847187538486913 T^{16} - 116381537499786062 T^{17} + 560275621834479796 T^{18} - 2069288736492651114 T^{19} + 7729830567363367201 T^{20} - 17120229879909182424 T^{21} + 43513917611435838661 T^{22} \))(\( 1 + 7 T + 324 T^{2} + 1973 T^{3} + 52579 T^{4} + 273984 T^{5} + 5885543 T^{6} + 26544167 T^{7} + 519606493 T^{8} + 2094148788 T^{9} + 38811764973 T^{10} + 143665347805 T^{11} + 2528142756094 T^{12} + 8763586216105 T^{13} + 144418577464533 T^{14} + 475331986049028 T^{15} + 7194388884645613 T^{16} + 22419105261326267 T^{17} + 303225378677763023 T^{18} + 861061253184377664 T^{19} + 10079778810084037699 T^{20} + 23072550241161760193 T^{21} + \)\(23\!\cdots\!24\)\( T^{22} + \)\(30\!\cdots\!27\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 29 T + 806 T^{2} - 13091 T^{3} + 205941 T^{4} - 2302884 T^{5} + 26195435 T^{6} - 222631979 T^{7} + 2099401209 T^{8} - 14830563372 T^{9} + 132037301575 T^{10} - 863273221809 T^{11} + 7927226452226 T^{12} - 52659666530349 T^{13} + 491310799160575 T^{14} - 3366256104739932 T^{15} + 29067975335021769 T^{16} - 188034145947709679 T^{17} + 1349598617749242035 T^{18} - 7237372193187384564 T^{19} + 39480395745973046421 T^{20} - \)\(15\!\cdots\!31\)\( T^{21} + \)\(57\!\cdots\!06\)\( T^{22} - \)\(12\!\cdots\!69\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 16 T + 524 T^{2} - 6836 T^{3} + 129571 T^{4} - 1439034 T^{5} + 20509529 T^{6} - 199095192 T^{7} + 2345272305 T^{8} - 20188893860 T^{9} + 205080277363 T^{10} - 1573519403630 T^{11} + 14070845097590 T^{12} - 95984683621430 T^{13} + 763103712067723 T^{14} - 4582495317236660 T^{15} + 32472267436733505 T^{16} - 168155062710084792 T^{17} + 1056658612047785969 T^{18} - 4522513794290643714 T^{19} + 24839708252370696451 T^{20} - 79941182690614187876 T^{21} + \)\(37\!\cdots\!24\)\( T^{22} - \)\(69\!\cdots\!76\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 29 T + 719 T^{2} - 12106 T^{3} + 182257 T^{4} - 2246365 T^{5} + 25885890 T^{6} - 263725067 T^{7} + 2623379820 T^{8} - 24187988835 T^{9} + 222738683596 T^{10} - 1921212995771 T^{11} + 16380793423473 T^{12} - 129356675228598 T^{13} + 999228398831853 T^{14} - 7148833557263891 T^{15} + 50557449141303676 T^{16} - 334903047519185235 T^{17} + 2215696892090045820 T^{18} - 13587214180219807187 T^{19} + 81352695351527643690 T^{20} - \)\(43\!\cdots\!65\)\( T^{21} + \)\(21\!\cdots\!37\)\( T^{22} - \)\(86\!\cdots\!06\)\( T^{23} + \)\(31\!\cdots\!59\)\( T^{24} - \)\(76\!\cdots\!09\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))
$67$ (\( 1 - 16 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 - T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + T + 67 T^{2} \))(\( 1 + T + 126 T^{2} + 67 T^{3} + 4489 T^{4} \))(\( 1 - 11 T + 126 T^{2} - 737 T^{3} + 4489 T^{4} \))(\( 1 - 19 T + 297 T^{2} - 2609 T^{3} + 19899 T^{4} - 85291 T^{5} + 300763 T^{6} \))(\( 1 + 73 T^{2} - 352 T^{3} + 4891 T^{4} + 300763 T^{6} \))(\( 1 + 11 T + 127 T^{2} + 1193 T^{3} + 8509 T^{4} + 49379 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 252 T^{2} - 2148 T^{3} + 22478 T^{4} - 143916 T^{5} + 1131228 T^{6} - 4511445 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 246 T^{2} - 657 T^{3} + 27996 T^{4} - 56490 T^{5} + 1875732 T^{6} - 2949273 T^{7} + 73987698 T^{8} - 80604484 T^{9} + 1350125107 T^{10} \))(\( 1 + 9 T + 296 T^{2} + 2804 T^{3} + 42239 T^{4} + 353919 T^{5} + 3609088 T^{6} + 23712573 T^{7} + 189610871 T^{8} + 843339452 T^{9} + 5964731816 T^{10} + 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 + 3 T + 202 T^{2} + 921 T^{3} + 25575 T^{4} + 99674 T^{5} + 2102252 T^{6} + 6678158 T^{7} + 114806175 T^{8} + 277002723 T^{9} + 4070526442 T^{10} + 4050375321 T^{11} + 90458382169 T^{12} \))(\( 1 + 8 T + 55 T^{2} + 57 T^{3} + 6436 T^{4} + 40449 T^{5} + 546624 T^{6} + 2710083 T^{7} + 28891204 T^{8} + 17143491 T^{9} + 1108311655 T^{10} + 10801000856 T^{11} + 90458382169 T^{12} \))(\( 1 + 3 T + 119 T^{2} + 463 T^{3} + 11831 T^{4} + 35537 T^{5} + 983841 T^{6} + 3657594 T^{7} + 65917347 T^{8} + 159525593 T^{9} + 3558327053 T^{10} + 9329969023 T^{11} + 160664887733 T^{12} + 271375146507 T^{13} + 6060711605323 T^{14} \))(\( 1 + 10 T + 316 T^{2} + 3381 T^{3} + 52944 T^{4} + 539910 T^{5} + 5980494 T^{6} + 56470739 T^{7} + 502506209 T^{8} + 4352382816 T^{9} + 33667916003 T^{10} + 253497147371 T^{11} + 1798711316922 T^{12} + 10879791739110 T^{13} + 71481023665008 T^{14} + 305839790113389 T^{15} + 1915184867282068 T^{16} + 4060676775566410 T^{17} + 27206534396294947 T^{18} \))(\( 1 - 19 T + 607 T^{2} - 8649 T^{3} + 159722 T^{4} - 1814070 T^{5} + 24462390 T^{6} - 227645407 T^{7} + 2428480718 T^{8} - 18655767246 T^{9} + 162708208106 T^{10} - 1021900232023 T^{11} + 7357381803570 T^{12} - 36555544072470 T^{13} + 215644682340254 T^{14} - 782374547379681 T^{15} + 3678851944431061 T^{16} - 7715285873576179 T^{17} + 27206534396294947 T^{18} \))(\( 1 - 22 T + 518 T^{2} - 7105 T^{3} + 101100 T^{4} - 1091212 T^{5} + 12308690 T^{6} - 115764263 T^{7} + 1113420091 T^{8} - 9097321308 T^{9} + 74599146097 T^{10} - 519665776607 T^{11} + 3701998530470 T^{12} - 21989145048652 T^{13} + 136497648317700 T^{14} - 642706805310745 T^{15} + 3139448611557314 T^{16} - 8933488906246102 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 13 T + 293 T^{2} + 1957 T^{3} + 33772 T^{4} + 184886 T^{5} + 3544848 T^{6} + 18535043 T^{7} + 296098764 T^{8} + 1325387994 T^{9} + 19838617188 T^{10} + 83203808027 T^{11} + 1066159119024 T^{12} + 3725660157206 T^{13} + 45596425113604 T^{14} + 177027053904733 T^{15} + 1775788500359639 T^{16} + 5278879808236333 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 28 T + 766 T^{2} + 12685 T^{3} + 199539 T^{4} + 2291678 T^{5} + 25195860 T^{6} + 207387576 T^{7} + 1695219223 T^{8} + 9914344278 T^{9} + 71263761365 T^{10} + 409476997078 T^{11} + 4774672011455 T^{12} + 44505491463942 T^{13} + 509859219167149 T^{14} + 4179092137872696 T^{15} + 34017563178457020 T^{16} + 207301484332289582 T^{17} + 1209348333014546097 T^{18} + 5150968489805991085 T^{19} + 20840205347561929402 T^{20} + 51039458527449320572 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 - 8 T + 489 T^{2} - 4391 T^{3} + 124115 T^{4} - 1136315 T^{5} + 21277365 T^{6} - 186397314 T^{7} + 2695009947 T^{8} - 21722177986 T^{9} + 261837198506 T^{10} - 1897963105728 T^{11} + 19826358261602 T^{12} - 127163528083776 T^{13} + 1175387184093434 T^{14} - 6533227417603318 T^{15} + 54307471538200587 T^{16} - 251659693508762598 T^{17} + 1924716014719304685 T^{18} - 6886877507802604745 T^{19} + 50399089799942497715 T^{20} - \)\(11\!\cdots\!77\)\( T^{21} + \)\(89\!\cdots\!61\)\( T^{22} - \)\(97\!\cdots\!64\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 36 T + 1051 T^{2} - 21585 T^{3} + 382737 T^{4} - 5657721 T^{5} + 74944779 T^{6} - 877186598 T^{7} + 9449792731 T^{8} - 93112067098 T^{9} + 865637371538 T^{10} - 7558574919308 T^{11} + 63468339732006 T^{12} - 506424519593636 T^{13} + 3885846160834082 T^{14} - 28004664636595774 T^{15} + 190423916747301451 T^{16} - 1184311649483715986 T^{17} + 6779383460353245651 T^{18} - 34289815324379648883 T^{19} + \)\(15\!\cdots\!17\)\( T^{20} - \)\(58\!\cdots\!95\)\( T^{21} + \)\(19\!\cdots\!99\)\( T^{22} - \)\(43\!\cdots\!88\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 2 T + 441 T^{2} + 807 T^{3} + 100313 T^{4} + 185435 T^{5} + 15467773 T^{6} + 28350280 T^{7} + 1794818515 T^{8} + 3152450438 T^{9} + 164806364754 T^{10} + 268293161168 T^{11} + 12238599670182 T^{12} + 17975641798256 T^{13} + 739815771380706 T^{14} + 948140451084194 T^{15} + 36167605068805315 T^{16} + 38276424818479960 T^{17} + 1399189721337339637 T^{18} + 1123868056533070505 T^{19} + 40733866938739328633 T^{20} + 21955673257810022229 T^{21} + \)\(80\!\cdots\!09\)\( T^{22} + \)\(24\!\cdots\!66\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 5 T + 479 T^{2} + 2461 T^{3} + 113540 T^{4} + 565244 T^{5} + 17806940 T^{6} + 82160097 T^{7} + 2083232523 T^{8} + 8672645107 T^{9} + 194767833389 T^{10} + 729094736874 T^{11} + 15225633883928 T^{12} + 52217255381240 T^{13} + 1020117470223176 T^{14} + 3272906273827386 T^{15} + 58578957873575807 T^{16} + 174763520941214947 T^{17} + 2812624533021254961 T^{18} + 7432069453468110393 T^{19} + \)\(10\!\cdots\!20\)\( T^{20} + \)\(22\!\cdots\!04\)\( T^{21} + \)\(30\!\cdots\!80\)\( T^{22} + \)\(44\!\cdots\!89\)\( T^{23} + \)\(58\!\cdots\!57\)\( T^{24} + \)\(40\!\cdots\!05\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))
$71$ (\( 1 + 3 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 19 T + 224 T^{2} + 1349 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 16 T + 281 T^{2} - 2344 T^{3} + 19951 T^{4} - 80656 T^{5} + 357911 T^{6} \))(\( 1 - 2 T + 169 T^{2} - 320 T^{3} + 11999 T^{4} - 10082 T^{5} + 357911 T^{6} \))(\( 1 + 20 T + 281 T^{2} + 2848 T^{3} + 19951 T^{4} + 100820 T^{5} + 357911 T^{6} \))(\( 1 + 232 T^{2} + 72 T^{3} + 22926 T^{4} + 5112 T^{5} + 1169512 T^{6} + 25411681 T^{8} \))(\( 1 + 10 T + 191 T^{2} + 1624 T^{3} + 13254 T^{4} + 128892 T^{5} + 941034 T^{6} + 8186584 T^{7} + 68361001 T^{8} + 254116810 T^{9} + 1804229351 T^{10} \))(\( 1 - 18 T + 506 T^{2} - 6218 T^{3} + 96815 T^{4} - 870760 T^{5} + 9369260 T^{6} - 61823960 T^{7} + 488044415 T^{8} - 2225490598 T^{9} + 12858310586 T^{10} - 32476128318 T^{11} + 128100283921 T^{12} \))(\( 1 - 10 T + 218 T^{2} - 2858 T^{3} + 32159 T^{4} - 309040 T^{5} + 3104620 T^{6} - 21941840 T^{7} + 162113519 T^{8} - 1022909638 T^{9} + 5539746458 T^{10} - 18042293510 T^{11} + 128100283921 T^{12} \))(\( 1 + 2 T + 218 T^{2} - 210 T^{3} + 24127 T^{4} - 52900 T^{5} + 1968492 T^{6} - 3755900 T^{7} + 121624207 T^{8} - 75161310 T^{9} + 5539746458 T^{10} + 3608458702 T^{11} + 128100283921 T^{12} \))(\( 1 - 2 T + 281 T^{2} - 776 T^{3} + 41133 T^{4} - 115198 T^{5} + 4161861 T^{6} - 9961008 T^{7} + 295492131 T^{8} - 580713118 T^{9} + 14721953163 T^{10} - 19719464456 T^{11} + 506988447631 T^{12} - 256200567842 T^{13} + 9095120158391 T^{14} \))(\( 1 - 4 T + 347 T^{2} - 888 T^{3} + 61392 T^{4} - 117856 T^{5} + 7414408 T^{6} - 11385864 T^{7} + 669936618 T^{8} - 875285560 T^{9} + 47565499878 T^{10} - 57396140424 T^{11} + 2653698181688 T^{12} - 2994919075936 T^{13} + 110765248316592 T^{14} - 113753052121848 T^{15} + 3156006694961677 T^{16} - 2583014124983044 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 11 T + 334 T^{2} + 2758 T^{3} + 53246 T^{4} + 388336 T^{5} + 5998412 T^{6} + 41576578 T^{7} + 541707531 T^{8} + 3442504058 T^{9} + 38461234701 T^{10} + 209587529698 T^{11} + 2146897637332 T^{12} + 9868270552816 T^{13} + 96067996023346 T^{14} + 353300583054118 T^{15} + 3037770132902594 T^{16} + 7103288843703371 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 13 T + 526 T^{2} + 5338 T^{3} + 125478 T^{4} + 1057116 T^{5} + 18409668 T^{6} + 131338126 T^{7} + 1842242075 T^{8} + 11146727134 T^{9} + 130799187325 T^{10} + 662075493166 T^{11} + 6589022683548 T^{12} + 26863094571996 T^{13} + 226391090504778 T^{14} + 683799315570298 T^{15} + 4784033203313666 T^{16} + 8394795906194893 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 4 T + 130 T^{2} + 583 T^{3} + 15287 T^{4} + 96846 T^{5} + 1598307 T^{6} + 10813961 T^{7} + 124006133 T^{8} + 711461340 T^{9} + 8804435443 T^{10} + 54513177401 T^{11} + 572051656677 T^{12} + 2461019658126 T^{13} + 27581254088737 T^{14} + 74682465525943 T^{15} + 1182365620590830 T^{16} + 2583014124983044 T^{17} + 45848500718449031 T^{18} \))(\( 1 - 4 T + 396 T^{2} - 1631 T^{3} + 75168 T^{4} - 311736 T^{5} + 8876715 T^{6} - 37764052 T^{7} + 746510386 T^{8} - 3382350308 T^{9} + 52530128596 T^{10} - 254577659802 T^{11} + 3729639130316 T^{12} - 17050427902628 T^{13} + 267184278763646 T^{14} - 959648042691412 T^{15} + 16015629743461965 T^{16} - 39933470108396856 T^{17} + 683661992065934688 T^{18} - 1053224009461836191 T^{19} + 18156006284505816276 T^{20} - 13020974204039524804 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + T + 517 T^{2} + 1289 T^{3} + 130947 T^{4} + 438001 T^{5} + 22169645 T^{6} + 79615669 T^{7} + 2800760467 T^{8} + 9815291020 T^{9} + 275988974622 T^{10} + 906340894864 T^{11} + 21776891780370 T^{12} + 64350203535344 T^{13} + 1391260421069502 T^{14} + 3513000624259220 T^{15} + 71172031544815027 T^{16} + 143644926809300819 T^{17} + 2839937818927778045 T^{18} + 3983671724495416391 T^{19} + 84559487656038665667 T^{20} + 59098717426080800959 T^{21} + \)\(16\!\cdots\!17\)\( T^{22} + \)\(23\!\cdots\!71\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 3 T + 335 T^{2} + 41 T^{3} + 56367 T^{4} - 79705 T^{5} + 7198087 T^{6} - 10517987 T^{7} + 764841091 T^{8} - 879412558 T^{9} + 66280842426 T^{10} - 76862900650 T^{11} + 4935011632922 T^{12} - 5457265946150 T^{13} + 334121726669466 T^{14} - 314751428046338 T^{15} + 19435897820183971 T^{16} - 18976860858836437 T^{17} + 922076988388059127 T^{18} - 724926552224554655 T^{19} + 36399189295729810287 T^{20} + 1879788529456410271 T^{21} + \)\(10\!\cdots\!35\)\( T^{22} + \)\(69\!\cdots\!13\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T + 295 T^{2} + 1171 T^{3} + 48916 T^{4} + 157817 T^{5} + 5913703 T^{6} + 16676588 T^{7} + 596288815 T^{8} + 1528431904 T^{9} + 52773216194 T^{10} + 126752953158 T^{11} + 4029652229688 T^{12} + 8999459674218 T^{13} + 266029782833954 T^{14} + 547042591192544 T^{15} + 15152701150648015 T^{16} + 30088389544134388 T^{17} + 757547033324469463 T^{18} + 1435364578036792447 T^{19} + 31587679734417645076 T^{20} + 53688594341303815301 T^{21} + \)\(96\!\cdots\!95\)\( T^{22} + \)\(92\!\cdots\!84\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 29 T + 720 T^{2} - 12572 T^{3} + 193566 T^{4} - 2524156 T^{5} + 30049566 T^{6} - 321700200 T^{7} + 3227480510 T^{8} - 30090521795 T^{9} + 270116549823 T^{10} - 2324136264700 T^{11} + 19845964258776 T^{12} - 166590249768584 T^{13} + 1409063462373096 T^{14} - 11715970910352700 T^{15} + 96677684463699753 T^{16} - 764650740978087395 T^{17} + 5823115065922449010 T^{18} - 41209886957442484200 T^{19} + \)\(27\!\cdots\!06\)\( T^{20} - \)\(16\!\cdots\!16\)\( T^{21} + \)\(88\!\cdots\!46\)\( T^{22} - \)\(40\!\cdots\!72\)\( T^{23} + \)\(16\!\cdots\!20\)\( T^{24} - \)\(47\!\cdots\!89\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))
$73$ (\( 1 - 12 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( 1 - 9 T + 205 T^{2} - 1319 T^{3} + 14965 T^{4} - 47961 T^{5} + 389017 T^{6} \))(\( 1 - 8 T + 187 T^{2} - 1120 T^{3} + 13651 T^{4} - 42632 T^{5} + 389017 T^{6} \))(\( 1 - 7 T + 121 T^{2} - 1225 T^{3} + 8833 T^{4} - 37303 T^{5} + 389017 T^{6} \))(\( 1 - 11 T + 314 T^{2} - 2344 T^{3} + 35050 T^{4} - 171112 T^{5} + 1673306 T^{6} - 4279187 T^{7} + 28398241 T^{8} \))(\( 1 - 9 T + 251 T^{2} - 2005 T^{3} + 32202 T^{4} - 192248 T^{5} + 2350746 T^{6} - 10684645 T^{7} + 97643267 T^{8} - 255584169 T^{9} + 2073071593 T^{10} \))(\( 1 + 31 T + 746 T^{2} + 12376 T^{3} + 170831 T^{4} + 1883717 T^{5} + 17768444 T^{6} + 137511341 T^{7} + 910358399 T^{8} + 4814474392 T^{9} + 21185087786 T^{10} + 64265219383 T^{11} + 151334226289 T^{12} \))(\( 1 - 18 T + 514 T^{2} - 6386 T^{3} + 100495 T^{4} - 916236 T^{5} + 9970812 T^{6} - 66885228 T^{7} + 535537855 T^{8} - 2484262562 T^{9} + 14596695874 T^{10} - 37315288674 T^{11} + 151334226289 T^{12} \))(\( 1 + 17 T + 246 T^{2} + 2732 T^{3} + 27179 T^{4} + 243467 T^{5} + 2203628 T^{6} + 17773091 T^{7} + 144836891 T^{8} + 1062794444 T^{9} + 6985967286 T^{10} + 35242217081 T^{11} + 151334226289 T^{12} \))(\( 1 - T + 381 T^{2} + 49 T^{3} + 66847 T^{4} + 52637 T^{5} + 7206899 T^{6} + 6385238 T^{7} + 526103627 T^{8} + 280502573 T^{9} + 26004619399 T^{10} + 1391513809 T^{11} + 789840276933 T^{12} - 151334226289 T^{13} + 11047398519097 T^{14} \))(\( 1 + 5 T + 387 T^{2} + 1657 T^{3} + 78808 T^{4} + 296890 T^{5} + 10683452 T^{6} + 35592151 T^{7} + 1046082720 T^{8} + 3033081026 T^{9} + 76364038560 T^{10} + 189670572679 T^{11} + 4156044446684 T^{12} + 8431153770490 T^{13} + 163374626101144 T^{14} + 250760812960873 T^{15} + 4275343226890539 T^{16} + 4032300459470405 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 25 T + 617 T^{2} - 9709 T^{3} + 145754 T^{4} - 1774610 T^{5} + 20605810 T^{6} - 210833539 T^{7} + 2047487906 T^{8} - 17992552746 T^{9} + 149466617138 T^{10} - 1123531929331 T^{11} + 8016010388770 T^{12} - 50395802461010 T^{13} + 302158476966122 T^{14} - 1469304003039901 T^{15} + 6816244886282849 T^{16} - 20161502297352025 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 17 T + 497 T^{2} + 5433 T^{3} + 95518 T^{4} + 784314 T^{5} + 11404822 T^{6} + 80224631 T^{7} + 1057689490 T^{8} + 6617644778 T^{9} + 77211332770 T^{10} + 427517058599 T^{11} + 4436669639974 T^{12} + 22273137991674 T^{13} + 198015652420174 T^{14} + 822198851428137 T^{15} + 5490557063991209 T^{16} + 13709821562199377 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 29 T + 635 T^{2} + 9791 T^{3} + 136916 T^{4} + 1627014 T^{5} + 18475288 T^{6} + 186639953 T^{7} + 1810039792 T^{8} + 15782839098 T^{9} + 132132904816 T^{10} + 994604309537 T^{11} + 7187201111896 T^{12} + 46204335682374 T^{13} + 283836670227188 T^{14} + 1481713409595599 T^{15} + 7015098059626595 T^{16} + 23387342664928349 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 7 T + 263 T^{2} + 1437 T^{3} + 33449 T^{4} + 124687 T^{5} + 2748471 T^{6} + 9384756 T^{7} + 211304504 T^{8} + 1024533594 T^{9} + 17686597072 T^{10} + 95260794270 T^{11} + 1291121586256 T^{12} + 5459739522426 T^{13} + 82201044232568 T^{14} + 266510562614196 T^{15} + 5697777154284303 T^{16} + 18869410673296543 T^{17} + 369524433065275553 T^{18} + 1158883152051794397 T^{19} + 15483227304274461119 T^{20} + 30083380807924903543 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 + 31 T + 834 T^{2} + 16630 T^{3} + 296136 T^{4} + 4532874 T^{5} + 63727178 T^{6} + 807398767 T^{7} + 9514617687 T^{8} + 103108757858 T^{9} + 1047266275604 T^{10} + 9867616205064 T^{11} + 87411789698432 T^{12} + 720335982969672 T^{13} + 5580881982693716 T^{14} + 40111059655645586 T^{15} + 270198406098288567 T^{16} + 1673795448090925831 T^{17} + 9644103176211382442 T^{18} + 50076465514853294778 T^{19} + \)\(23\!\cdots\!16\)\( T^{20} + \)\(97\!\cdots\!90\)\( T^{21} + \)\(35\!\cdots\!66\)\( T^{22} + \)\(97\!\cdots\!87\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 7 T + 308 T^{2} - 1964 T^{3} + 55610 T^{4} - 252832 T^{5} + 6404084 T^{6} - 16265183 T^{7} + 527064463 T^{8} + 98326918 T^{9} + 34540540696 T^{10} + 102268475140 T^{11} + 2261952759980 T^{12} + 7465598685220 T^{13} + 184066541368984 T^{14} + 38250842659606 T^{15} + 14967703642809583 T^{16} - 33718888832246519 T^{17} + 969157097229764276 T^{18} - 2793135862380332704 T^{19} + 44847245710229844410 T^{20} - \)\(11\!\cdots\!32\)\( T^{21} + \)\(13\!\cdots\!92\)\( T^{22} - \)\(21\!\cdots\!39\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 35 T + 1022 T^{2} - 19802 T^{3} + 337228 T^{4} - 4649414 T^{5} + 59031846 T^{6} - 663910779 T^{7} + 7186192935 T^{8} - 72635374546 T^{9} + 715614460732 T^{10} - 6614507243496 T^{11} + 58598570501080 T^{12} - 482859028775208 T^{13} + 3813509461240828 T^{14} - 28256395499761282 T^{15} + 204075238840627335 T^{16} - 1376334576231400947 T^{17} + 8933538740821399494 T^{18} - 51363929338268859158 T^{19} + \)\(27\!\cdots\!68\)\( T^{20} - \)\(11\!\cdots\!26\)\( T^{21} + \)\(43\!\cdots\!78\)\( T^{22} - \)\(10\!\cdots\!95\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 15 T + 557 T^{2} - 8027 T^{3} + 167520 T^{4} - 2162404 T^{5} + 33852096 T^{6} - 389448255 T^{7} + 5033721195 T^{8} - 51826456265 T^{9} + 578222783383 T^{10} - 5345218355286 T^{11} + 52641732870928 T^{12} - 436897445699016 T^{13} + 3842846499577744 T^{14} - 28484668615319094 T^{15} + 224938492523304511 T^{16} - 1471780195189429865 T^{17} + 10435264416436513635 T^{18} - 58936850350026175695 T^{19} + \)\(37\!\cdots\!12\)\( T^{20} - \)\(17\!\cdots\!24\)\( T^{21} + \)\(98\!\cdots\!60\)\( T^{22} - \)\(34\!\cdots\!23\)\( T^{23} + \)\(17\!\cdots\!89\)\( T^{24} - \)\(34\!\cdots\!15\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))
$79$ (\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 3 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( 1 + 18 T + 222 T^{2} + 1422 T^{3} + 6241 T^{4} \))(\( 1 + 21 T + 183 T^{2} + 1325 T^{3} + 14457 T^{4} + 131061 T^{5} + 493039 T^{6} \))(\( 1 - 14 T + 169 T^{2} - 1128 T^{3} + 13351 T^{4} - 87374 T^{5} + 493039 T^{6} \))(\( 1 - 9 T + 75 T^{2} - 693 T^{3} + 5925 T^{4} - 56169 T^{5} + 493039 T^{6} \))(\( 1 - 8 T + 275 T^{2} - 1429 T^{3} + 30073 T^{4} - 112891 T^{5} + 1716275 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 17 T + 415 T^{2} + 4563 T^{3} + 64494 T^{4} + 512600 T^{5} + 5095026 T^{6} + 28477683 T^{7} + 204611185 T^{8} + 662151377 T^{9} + 3077056399 T^{10} \))(\( 1 + 17 T + 440 T^{2} + 5688 T^{3} + 81265 T^{4} + 826839 T^{5} + 8352440 T^{6} + 65320281 T^{7} + 507174865 T^{8} + 2804405832 T^{9} + 17138035640 T^{10} + 52309958783 T^{11} + 243087455521 T^{12} \))(\( 1 + 14 T + 358 T^{2} + 4374 T^{3} + 61487 T^{4} + 622456 T^{5} + 6179732 T^{6} + 49174024 T^{7} + 383740367 T^{8} + 2156552586 T^{9} + 13944128998 T^{10} + 43078789586 T^{11} + 243087455521 T^{12} \))(\( 1 + 31 T + 740 T^{2} + 12130 T^{3} + 166991 T^{4} + 1863487 T^{5} + 18081240 T^{6} + 147215473 T^{7} + 1042190831 T^{8} + 5980563070 T^{9} + 28823059940 T^{10} + 95388748369 T^{11} + 243087455521 T^{12} \))(\( 1 + 18 T + 296 T^{2} + 3691 T^{3} + 42697 T^{4} + 438548 T^{5} + 4151902 T^{6} + 36524826 T^{7} + 328000258 T^{8} + 2736978068 T^{9} + 21051286183 T^{10} + 143764748971 T^{11} + 910808694104 T^{12} + 4375574199378 T^{13} + 19203908986159 T^{14} \))(\( 1 + 14 T + 370 T^{2} + 3233 T^{3} + 58794 T^{4} + 447314 T^{5} + 7154740 T^{6} + 50178255 T^{7} + 682819339 T^{8} + 4325003040 T^{9} + 53942727781 T^{10} + 313162489455 T^{11} + 3527565854860 T^{12} + 17422916532434 T^{13} + 180912453922806 T^{14} + 785901743699393 T^{15} + 7105446324878830 T^{16} + 21239523338691854 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 28 T + 697 T^{2} - 10703 T^{3} + 152712 T^{4} - 1648163 T^{5} + 17604103 T^{6} - 155693933 T^{7} + 1480820123 T^{8} - 12396314634 T^{9} + 116984789717 T^{10} - 971685835853 T^{11} + 8679509339017 T^{12} - 64196082351203 T^{13} + 469903436804088 T^{14} - 2601765036441263 T^{15} + 13385124563352823 T^{16} - 42479046677383708 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 205 T^{2} + 183 T^{3} + 24756 T^{4} + 12939 T^{5} + 2209335 T^{6} - 1734015 T^{7} + 166196755 T^{8} - 192830726 T^{9} + 13129543645 T^{10} - 10821987615 T^{11} + 1089288319065 T^{12} + 503975098059 T^{13} + 76175608213644 T^{14} + 44485004360343 T^{15} + 3936801342162595 T^{16} + 119851595982618319 T^{18} \))(\( 1 - 13 T + 517 T^{2} - 6255 T^{3} + 128837 T^{4} - 1416535 T^{5} + 20305237 T^{6} - 198575152 T^{7} + 2225833152 T^{8} - 18848897366 T^{9} + 175840819008 T^{10} - 1239307523632 T^{11} + 10011273745243 T^{12} - 55174152989335 T^{13} + 396438715277963 T^{14} - 1520512034283855 T^{15} + 9928420945844203 T^{16} - 19722414528785293 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 5 T + 461 T^{2} - 3121 T^{3} + 96102 T^{4} - 774834 T^{5} + 12572030 T^{6} - 104861325 T^{7} + 1243408761 T^{8} - 9358180061 T^{9} + 106300984409 T^{10} - 721408297564 T^{11} + 8397777768311 T^{12} - 58404401760701 T^{13} + 613049012114679 T^{14} - 4084357102517325 T^{15} + 38684845359919970 T^{16} - 188352425511158514 T^{17} + 1845534061387852218 T^{18} - 4734896595718376881 T^{19} + 55251585747987045059 T^{20} - 47341380413134236005 T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 358 T^{2} - 1145 T^{3} + 79396 T^{4} - 338120 T^{5} + 13001361 T^{6} - 64727295 T^{7} + 1670112273 T^{8} - 8441409187 T^{9} + 176988554865 T^{10} - 852293310995 T^{11} + 15293019262212 T^{12} - 67331171568605 T^{13} + 1104585570912465 T^{14} - 4161943944149293 T^{15} + 65051008312444113 T^{16} - 199169537269710705 T^{17} + 3160467763799964081 T^{18} - 6493225706400081080 T^{19} + \)\(12\!\cdots\!56\)\( T^{20} - \)\(13\!\cdots\!55\)\( T^{21} + \)\(33\!\cdots\!58\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 40 T + 1230 T^{2} - 26447 T^{3} + 482152 T^{4} - 7208010 T^{5} + 95038213 T^{6} - 1080937965 T^{7} + 11133665041 T^{8} - 102470200985 T^{9} + 896261100749 T^{10} - 7514621189631 T^{11} + 65877706991116 T^{12} - 593655073980849 T^{13} + 5593565529774509 T^{14} - 50521805423443415 T^{15} + 433657155173818321 T^{16} - 3326107082125288035 T^{17} + 23102597375432823973 T^{18} - \)\(13\!\cdots\!90\)\( T^{19} + \)\(73\!\cdots\!72\)\( T^{20} - \)\(31\!\cdots\!93\)\( T^{21} + \)\(11\!\cdots\!30\)\( T^{22} - \)\(29\!\cdots\!60\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 426 T^{2} - 1191 T^{3} + 93776 T^{4} - 169540 T^{5} + 13766285 T^{6} - 9364565 T^{7} + 1510680577 T^{8} + 618883155 T^{9} + 136819141585 T^{10} + 159025960167 T^{11} + 11137472530060 T^{12} + 12563050853193 T^{13} + 853888262631985 T^{14} + 305133531858045 T^{15} + 58841130839276737 T^{16} - 28815294657101435 T^{17} + 3346411192626909485 T^{18} - 3255830729513396860 T^{19} + \)\(14\!\cdots\!36\)\( T^{20} - \)\(14\!\cdots\!29\)\( T^{21} + \)\(40\!\cdots\!26\)\( T^{22} - \)\(29\!\cdots\!16\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T + 655 T^{2} - 7729 T^{3} + 200993 T^{4} - 1936471 T^{5} + 38812327 T^{6} - 310349774 T^{7} + 5363658003 T^{8} - 36115904519 T^{9} + 577889673817 T^{10} - 3372883398881 T^{11} + 52084492714874 T^{12} - 277652174402022 T^{13} + 4114674924475046 T^{14} - 21050165292416321 T^{15} + 284922146889059863 T^{16} - 1406717406403316039 T^{17} + 16504278180178711197 T^{18} - 75442136883177402254 T^{19} + \)\(74\!\cdots\!93\)\( T^{20} - \)\(29\!\cdots\!31\)\( T^{21} + \)\(24\!\cdots\!67\)\( T^{22} - \)\(73\!\cdots\!29\)\( T^{23} + \)\(48\!\cdots\!45\)\( T^{24} - \)\(88\!\cdots\!15\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))
$83$ (\( 1 + 11 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 25 T + 314 T^{2} - 2075 T^{3} + 6889 T^{4} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( 1 - 15 T + 193 T^{2} - 1491 T^{3} + 16019 T^{4} - 103335 T^{5} + 571787 T^{6} \))(\( 1 + 4 T + 217 T^{2} + 632 T^{3} + 18011 T^{4} + 27556 T^{5} + 571787 T^{6} \))(\( 1 + T + 163 T^{2} + 417 T^{3} + 13529 T^{4} + 6889 T^{5} + 571787 T^{6} \))(\( 1 - 3 T + 296 T^{2} - 716 T^{3} + 35354 T^{4} - 59428 T^{5} + 2039144 T^{6} - 1715361 T^{7} + 47458321 T^{8} \))(\( 1 - 9 T + 329 T^{2} - 2539 T^{3} + 47834 T^{4} - 299752 T^{5} + 3970222 T^{6} - 17491171 T^{7} + 188117923 T^{8} - 427124889 T^{9} + 3939040643 T^{10} \))(\( 1 + 9 T + 252 T^{2} + 1288 T^{3} + 28135 T^{4} + 66915 T^{5} + 2204488 T^{6} + 5553945 T^{7} + 193822015 T^{8} + 736461656 T^{9} + 11959496892 T^{10} + 35451365787 T^{11} + 326940373369 T^{12} \))(\( 1 - 2 T + 96 T^{2} - 678 T^{3} + 12559 T^{4} - 29724 T^{5} + 1156368 T^{6} - 2467092 T^{7} + 86518951 T^{8} - 387671586 T^{9} + 4555998816 T^{10} - 7878081286 T^{11} + 326940373369 T^{12} \))(\( 1 + 5 T + 280 T^{2} + 1936 T^{3} + 41907 T^{4} + 285151 T^{5} + 4219320 T^{6} + 23667533 T^{7} + 288697323 T^{8} + 1106979632 T^{9} + 13288329880 T^{10} + 19695203215 T^{11} + 326940373369 T^{12} \))(\( 1 + 17 T + 483 T^{2} + 5993 T^{3} + 102363 T^{4} + 1005755 T^{5} + 12880873 T^{6} + 103358102 T^{7} + 1069112459 T^{8} + 6928646195 T^{9} + 58529832681 T^{10} + 284417717753 T^{11} + 1902556630569 T^{12} + 5557986347273 T^{13} + 27136050989627 T^{14} \))(\( 1 - 37 T + 975 T^{2} - 19221 T^{3} + 321998 T^{4} - 4669300 T^{5} + 60411650 T^{6} - 699529371 T^{7} + 7354919590 T^{8} - 70078464318 T^{9} + 610458325970 T^{10} - 4819057836819 T^{11} + 34542596118550 T^{12} - 221597138245300 T^{13} + 1268363208964714 T^{14} - 6284120916525549 T^{15} + 26457649714886325 T^{16} - 83334812589144517 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 8 T + 221 T^{2} + 1226 T^{3} + 32318 T^{4} + 143636 T^{5} + 2982958 T^{6} + 6129043 T^{7} + 237314108 T^{8} + 506463718 T^{9} + 19697070964 T^{10} + 42222977227 T^{11} + 1705616605946 T^{12} + 6816723395156 T^{13} + 127301915500474 T^{14} + 400828897750394 T^{15} + 5997067268707567 T^{16} + 18018337857112328 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 24 T + 707 T^{2} + 11464 T^{3} + 202314 T^{4} + 2564064 T^{5} + 34411744 T^{6} + 362681133 T^{7} + 4001007548 T^{8} + 35709483102 T^{9} + 332083626484 T^{10} + 2498510325237 T^{11} + 19676187866528 T^{12} + 121686172376544 T^{13} + 796923068647902 T^{14} + 3748044440302216 T^{15} + 19185188049666289 T^{16} + 54055013571336984 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 35 T + 856 T^{2} + 15883 T^{3} + 250682 T^{4} + 3470149 T^{5} + 43270557 T^{6} + 489084637 T^{7} + 5059367602 T^{8} + 48046886080 T^{9} + 419927510966 T^{10} + 3369304064293 T^{11} + 24741541975359 T^{12} + 164687445159829 T^{13} + 987446586468526 T^{14} + 5192793950219827 T^{15} + 23228459647120712 T^{16} + 78830228124866435 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 11 T + 458 T^{2} + 5971 T^{3} + 121471 T^{4} + 1515064 T^{5} + 23086287 T^{6} + 253101862 T^{7} + 3233145964 T^{8} + 31458378941 T^{9} + 343494397731 T^{10} + 2987492467822 T^{11} + 28510035011673 T^{12} + 216716772524549 T^{13} + 1848670831317668 T^{14} + 12011789412493702 T^{15} + 90937822788962541 T^{16} + 495335589837930616 T^{17} + 3296243249760981317 T^{18} + 13448436918102213811 T^{19} + 85618636912533504574 T^{20} + \)\(17\!\cdots\!39\)\( T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 + 48 T + 1548 T^{2} + 36442 T^{3} + 709298 T^{4} + 11656196 T^{5} + 168584118 T^{6} + 2168483725 T^{7} + 25427798483 T^{8} + 274419632687 T^{9} + 2784745224590 T^{10} + 26813220647848 T^{11} + 248918594206548 T^{12} + 2225497313771384 T^{13} + 19184109852200510 T^{14} + 156909578515201669 T^{15} + 1206760622729527043 T^{16} + 8541745526459035175 T^{17} + 55116954483003553542 T^{18} + \)\(31\!\cdots\!92\)\( T^{19} + \)\(15\!\cdots\!18\)\( T^{20} + \)\(68\!\cdots\!26\)\( T^{21} + \)\(24\!\cdots\!52\)\( T^{22} + \)\(61\!\cdots\!16\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 24 T + 738 T^{2} - 12284 T^{3} + 220098 T^{4} - 2876126 T^{5} + 38679094 T^{6} - 434381851 T^{7} + 4932031161 T^{8} - 50902096323 T^{9} + 519360248568 T^{10} - 5017245979406 T^{11} + 46761691350344 T^{12} - 416431416290698 T^{13} + 3577872752384952 T^{14} - 29105156950239201 T^{15} + 234065918020740681 T^{16} - 1711047765670570193 T^{17} + 12645757433934647686 T^{18} - 78046701788591945002 T^{19} + \)\(49\!\cdots\!18\)\( T^{20} - \)\(22\!\cdots\!52\)\( T^{21} + \)\(11\!\cdots\!62\)\( T^{22} - \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 39 T + 1409 T^{2} - 34372 T^{3} + 751607 T^{4} - 13605761 T^{5} + 223273646 T^{6} - 3231604216 T^{7} + 42940334829 T^{8} - 516698001793 T^{9} + 5759209830497 T^{10} - 58811067007505 T^{11} + 558833153717942 T^{12} - 4881318561622915 T^{13} + 39675196522293833 T^{14} - 295441200351214091 T^{15} + 2037876194162162109 T^{16} - 12729420348914150888 T^{17} + 72997169186697933374 T^{18} - \)\(36\!\cdots\!47\)\( T^{19} + \)\(16\!\cdots\!87\)\( T^{20} - \)\(64\!\cdots\!16\)\( T^{21} + \)\(21\!\cdots\!41\)\( T^{22} - \)\(50\!\cdots\!13\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 4 T + 473 T^{2} - 1122 T^{3} + 107130 T^{4} - 71316 T^{5} + 15994894 T^{6} + 17009403 T^{7} + 1826527295 T^{8} + 4796438420 T^{9} + 176988246491 T^{10} + 654794730599 T^{11} + 15654692771376 T^{12} + 62609920158744 T^{13} + 1299339500024208 T^{14} + 4510880899096511 T^{15} + 101199578496349417 T^{16} + 227630914193092820 T^{17} + 7194765250553850685 T^{18} + 5561060567603788707 T^{19} + \)\(43\!\cdots\!38\)\( T^{20} - \)\(16\!\cdots\!56\)\( T^{21} + \)\(20\!\cdots\!90\)\( T^{22} - \)\(17\!\cdots\!78\)\( T^{23} + \)\(60\!\cdots\!91\)\( T^{24} - \)\(42\!\cdots\!44\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))
$89$ (\( 1 - 14 T + 89 T^{2} \))(\( 1 - 5 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 21 T + 280 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 + 21 T + 284 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 220 T^{2} + 659 T^{3} + 19580 T^{4} + 31684 T^{5} + 704969 T^{6} \))(\( 1 - 30 T + 487 T^{2} - 5268 T^{3} + 43343 T^{4} - 237630 T^{5} + 704969 T^{6} \))(\( 1 - 4 T + 186 T^{2} - 879 T^{3} + 16554 T^{4} - 31684 T^{5} + 704969 T^{6} \))(\( 1 - 17 T + 447 T^{2} - 4693 T^{3} + 63741 T^{4} - 417677 T^{5} + 3540687 T^{6} - 11984473 T^{7} + 62742241 T^{8} \))(\( 1 + 5 T + 380 T^{2} + 1486 T^{3} + 62174 T^{4} + 185418 T^{5} + 5533486 T^{6} + 11770606 T^{7} + 267888220 T^{8} + 313711205 T^{9} + 5584059449 T^{10} \))(\( 1 - 18 T + 423 T^{2} - 5011 T^{3} + 74621 T^{4} - 686083 T^{5} + 7989190 T^{6} - 61061387 T^{7} + 591072941 T^{8} - 3532599659 T^{9} + 26539967943 T^{10} - 100513070082 T^{11} + 496981290961 T^{12} \))(\( 1 - 11 T + 344 T^{2} - 2821 T^{3} + 57651 T^{4} - 396424 T^{5} + 6342248 T^{6} - 35281736 T^{7} + 456653571 T^{8} - 1988717549 T^{9} + 21583330904 T^{10} - 61424653939 T^{11} + 496981290961 T^{12} \))(\( 1 + 5 T + 385 T^{2} + 1459 T^{3} + 71568 T^{4} + 219484 T^{5} + 8022420 T^{6} + 19534076 T^{7} + 566890128 T^{8} + 1028549771 T^{9} + 24155762785 T^{10} + 27920297245 T^{11} + 496981290961 T^{12} \))(\( 1 + 13 T + 378 T^{2} + 5366 T^{3} + 80635 T^{4} + 948785 T^{5} + 11394250 T^{6} + 102159976 T^{7} + 1014088250 T^{8} + 7515325985 T^{9} + 56845175315 T^{10} + 336674865206 T^{11} + 2110774471722 T^{12} + 6460756782493 T^{13} + 44231334895529 T^{14} \))(\( 1 + 20 T + 625 T^{2} + 10919 T^{3} + 196203 T^{4} + 2803097 T^{5} + 38033347 T^{6} + 446055007 T^{7} + 4909103832 T^{8} + 47869278570 T^{9} + 436910241048 T^{10} + 3533201710447 T^{11} + 26812330601243 T^{12} + 175872587520377 T^{13} + 1095609216072147 T^{14} + 5426538716003159 T^{15} + 27644584309705625 T^{16} + 78731776114041620 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 22 T + 616 T^{2} - 8235 T^{3} + 134509 T^{4} - 1316330 T^{5} + 17534367 T^{6} - 149126805 T^{7} + 1864092435 T^{8} - 14564305056 T^{9} + 165904226715 T^{10} - 1181233422405 T^{11} + 12361185169623 T^{12} - 82589494095530 T^{13} + 751106252425541 T^{14} - 4092640931063835 T^{15} + 27246502295645864 T^{16} - 86604953725445782 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 23 T + 406 T^{2} + 6208 T^{3} + 84232 T^{4} + 1114330 T^{5} + 13298214 T^{6} + 145868408 T^{7} + 1507642811 T^{8} + 14437010926 T^{9} + 134180210179 T^{10} + 1155423659768 T^{11} + 9374828625366 T^{12} + 69915561413530 T^{13} + 470356495508168 T^{14} + 3085259854285888 T^{15} + 17957921967584774 T^{16} + 90541542531147863 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 19 T + 518 T^{2} + 7530 T^{3} + 123908 T^{4} + 1512318 T^{5} + 19662938 T^{6} + 209238302 T^{7} + 2312049979 T^{8} + 21500675150 T^{9} + 205772448131 T^{10} + 1657376590142 T^{11} + 13861761738922 T^{12} + 94886220424638 T^{13} + 691909638206692 T^{14} + 3742269120936330 T^{15} + 22911831475884022 T^{16} + 74795187308339539 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 10 T + 577 T^{2} + 4523 T^{3} + 146272 T^{4} + 828871 T^{5} + 21565126 T^{6} + 69737170 T^{7} + 2123459053 T^{8} + 1110902383 T^{9} + 170312612667 T^{10} - 194269945114 T^{11} + 15157822527363 T^{12} + 8799457775743 T^{13} + 1496972805134357 T^{14} + 4375466326797970 T^{15} + 120420945609175574 T^{16} + 411933379620135031 T^{17} + 6469805817838817888 T^{18} + 17805191168190512363 T^{19} + \)\(20\!\cdots\!93\)\( T^{20} + \)\(31\!\cdots\!10\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 - 13 T + 649 T^{2} - 7625 T^{3} + 216783 T^{4} - 2304145 T^{5} + 48195601 T^{6} - 463705509 T^{7} + 7882775667 T^{8} - 68571962902 T^{9} + 995382856534 T^{10} - 7793439760542 T^{11} + 99313353481338 T^{12} - 693616138688238 T^{13} + 7884427606605814 T^{14} - 48341108115060038 T^{15} + 494583010647849747 T^{16} - 2589359129084804541 T^{17} + 23952312003621262561 T^{18} - \)\(10\!\cdots\!05\)\( T^{19} + \)\(85\!\cdots\!23\)\( T^{20} - \)\(26\!\cdots\!25\)\( T^{21} + \)\(20\!\cdots\!49\)\( T^{22} - \)\(36\!\cdots\!57\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 45 T + 1745 T^{2} + 45513 T^{3} + 1055807 T^{4} + 19953139 T^{5} + 343732503 T^{6} + 5143797059 T^{7} + 71283305815 T^{8} + 883744295216 T^{9} + 10245213933384 T^{10} + 107766650683076 T^{11} + 1065025109605522 T^{12} + 9591231910793764 T^{13} + 81152339566334664 T^{14} + 623012332054128304 T^{15} + 4472474352721431415 T^{16} + 28723268571047360491 T^{17} + \)\(17\!\cdots\!83\)\( T^{18} + \)\(88\!\cdots\!31\)\( T^{19} + \)\(41\!\cdots\!67\)\( T^{20} + \)\(15\!\cdots\!17\)\( T^{21} + \)\(54\!\cdots\!45\)\( T^{22} + \)\(12\!\cdots\!05\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 11 T + 813 T^{2} - 8213 T^{3} + 318501 T^{4} - 2929739 T^{5} + 79424657 T^{6} - 661176333 T^{7} + 14041054675 T^{8} - 105095625576 T^{9} + 1854779740530 T^{10} - 12370218718928 T^{11} + 187815033681166 T^{12} - 1100949465984592 T^{13} + 14691710324738130 T^{14} - 74089158066687144 T^{15} + 880967236313026675 T^{16} - 3692047949743820517 T^{17} + 39472568569994625377 T^{18} - \)\(12\!\cdots\!31\)\( T^{19} + \)\(12\!\cdots\!81\)\( T^{20} - \)\(28\!\cdots\!17\)\( T^{21} + \)\(25\!\cdots\!13\)\( T^{22} - \)\(30\!\cdots\!79\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T + 446 T^{2} - 1828 T^{3} + 98490 T^{4} - 515170 T^{5} + 14334284 T^{6} - 99999528 T^{7} + 1555706438 T^{8} - 15158087141 T^{9} + 138708660035 T^{10} - 1848037464820 T^{11} + 11570893576074 T^{12} - 182365098822956 T^{13} + 1029809528270586 T^{14} - 14638304758839220 T^{15} + 97785305356213915 T^{16} - 951052356499622981 T^{17} + 8687157234984032662 T^{18} - 49697894520930666408 T^{19} + \)\(63\!\cdots\!36\)\( T^{20} - \)\(20\!\cdots\!70\)\( T^{21} + \)\(34\!\cdots\!10\)\( T^{22} - \)\(57\!\cdots\!28\)\( T^{23} + \)\(12\!\cdots\!94\)\( T^{24} - \)\(74\!\cdots\!63\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))
$97$ (\( 1 - 6 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( 1 + 126 T^{2} + 9409 T^{4} \))(\( 1 + 11 T + 251 T^{2} + 1613 T^{3} + 24347 T^{4} + 103499 T^{5} + 912673 T^{6} \))(\( 1 - 2 T + 239 T^{2} - 428 T^{3} + 23183 T^{4} - 18818 T^{5} + 912673 T^{6} \))(\( 1 + 29 T + 555 T^{2} + 6395 T^{3} + 53835 T^{4} + 272861 T^{5} + 912673 T^{6} \))(\( 1 - 16 T + 337 T^{2} - 4355 T^{3} + 47269 T^{4} - 422435 T^{5} + 3170833 T^{6} - 14602768 T^{7} + 88529281 T^{8} \))(\( 1 - 13 T + 435 T^{2} - 3685 T^{3} + 73316 T^{4} - 461868 T^{5} + 7111652 T^{6} - 34672165 T^{7} + 397012755 T^{8} - 1150880653 T^{9} + 8587340257 T^{10} \))(\( 1 + 7 T + 206 T^{2} + 1764 T^{3} + 32201 T^{4} + 259765 T^{5} + 3296352 T^{6} + 25197205 T^{7} + 302979209 T^{8} + 1609955172 T^{9} + 18237031886 T^{10} + 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 + 210 T^{2} + 496 T^{3} + 30031 T^{4} + 117264 T^{5} + 2844476 T^{6} + 11374608 T^{7} + 282561679 T^{8} + 452685808 T^{9} + 18591149010 T^{10} + 832972004929 T^{12} \))(\( 1 - 7 T + 268 T^{2} - 2358 T^{3} + 39909 T^{4} - 386763 T^{5} + 4139276 T^{6} - 37516011 T^{7} + 375503781 T^{8} - 2152082934 T^{9} + 23725847308 T^{10} - 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 + 20 T + 522 T^{2} + 6781 T^{3} + 114717 T^{4} + 1220570 T^{5} + 16554064 T^{6} + 147166538 T^{7} + 1605744208 T^{8} + 11484343130 T^{9} + 104699108541 T^{10} + 600317054461 T^{11} + 4482591614154 T^{12} + 16659440098580 T^{13} + 80798284478113 T^{14} \))(\( 1 + 2 T + 504 T^{2} + 161 T^{3} + 129388 T^{4} - 33272 T^{5} + 22693242 T^{6} - 9390905 T^{7} + 2906526433 T^{8} - 1285370468 T^{9} + 281933064001 T^{10} - 88359025145 T^{11} + 20711509255866 T^{12} - 2945546237432 T^{13} + 1111098781172716 T^{14} + 134108492793569 T^{15} + 40722335376968952 T^{16} + 15674867188753922 T^{17} + 760231058654565217 T^{18} \))(\( 1 - 13 T + 685 T^{2} - 7967 T^{3} + 218294 T^{4} - 2254626 T^{5} + 42954494 T^{6} - 389449057 T^{7} + 5809329214 T^{8} - 45366455586 T^{9} + 563504933758 T^{10} - 3664326177313 T^{11} + 39203406902462 T^{12} - 199600418703906 T^{13} + 1874564854061558 T^{14} - 6636287963269343 T^{15} + 55346824867507405 T^{16} - 101886636726900493 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 29 T + 661 T^{2} + 9715 T^{3} + 127350 T^{4} + 1251218 T^{5} + 11966062 T^{6} + 89327821 T^{7} + 799936422 T^{8} + 6332583586 T^{9} + 77593832934 T^{10} + 840485467789 T^{11} + 10921101703726 T^{12} + 110769429914258 T^{13} + 1093597781728950 T^{14} + 8092323027885235 T^{15} + 53407666040032693 T^{16} + 227285574236931869 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 12 T + 502 T^{2} + 3297 T^{3} + 97924 T^{4} + 221390 T^{5} + 11188394 T^{6} - 18864561 T^{7} + 1046986971 T^{8} - 3929804244 T^{9} + 101557736187 T^{10} - 177496654449 T^{11} + 10211345117162 T^{12} + 19599497520590 T^{13} + 840906707326468 T^{14} + 2746308700250913 T^{15} + 40560738808012726 T^{16} + 94049203132523532 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 24 T + 814 T^{2} + 15031 T^{3} + 315107 T^{4} + 4768796 T^{5} + 76720544 T^{6} + 988481484 T^{7} + 13176065299 T^{8} + 147130773772 T^{9} + 1681670485851 T^{10} + 16398179468410 T^{11} + 163122037127547 T^{12} + 1384353450420748 T^{13} + 12025439044634227 T^{14} + 87509555060333004 T^{15} + 658825416030139808 T^{16} + 3972273565217395484 T^{17} + 25460105027044753091 T^{18} + \)\(11\!\cdots\!91\)\( T^{19} + \)\(61\!\cdots\!38\)\( T^{20} + \)\(17\!\cdots\!76\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 25 T + 1092 T^{2} - 22092 T^{3} + 552554 T^{4} - 9264404 T^{5} + 171023956 T^{6} - 2425271421 T^{7} + 36117670607 T^{8} - 439125683202 T^{9} + 5491951115368 T^{10} - 57636033718824 T^{11} + 617208445099148 T^{12} - 5590695270725928 T^{13} + 51673768044497512 T^{14} - 400778154665018946 T^{15} + 3197471410232543567 T^{16} - 20826630907704895197 T^{17} + \)\(14\!\cdots\!24\)\( T^{18} - \)\(74\!\cdots\!52\)\( T^{19} + \)\(43\!\cdots\!94\)\( T^{20} - \)\(16\!\cdots\!64\)\( T^{21} + \)\(80\!\cdots\!08\)\( T^{22} - \)\(17\!\cdots\!25\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - T + 222 T^{2} - 822 T^{3} + 32042 T^{4} - 246894 T^{5} + 3700022 T^{6} - 24330829 T^{7} + 395877679 T^{8} - 2197148346 T^{9} + 38096152684 T^{10} - 190181060916 T^{11} + 2897024588364 T^{12} - 18447562908852 T^{13} + 358446700603756 T^{14} - 2005277972388858 T^{15} + 35046766285818799 T^{16} - 208937107357883053 T^{17} + 3082014743621408438 T^{18} - 19948611647939231022 T^{19} + \)\(25\!\cdots\!62\)\( T^{20} - \)\(62\!\cdots\!74\)\( T^{21} + \)\(16\!\cdots\!78\)\( T^{22} - \)\(71\!\cdots\!53\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 21 T + 608 T^{2} + 11944 T^{3} + 214638 T^{4} + 3522096 T^{5} + 51788336 T^{6} + 716763737 T^{7} + 9197836255 T^{8} + 110748578026 T^{9} + 1260503811952 T^{10} + 13463903393776 T^{11} + 136885072090724 T^{12} + 1305998629196272 T^{13} + 11860080366656368 T^{14} + 101077236952723498 T^{15} + 814277830410882655 T^{16} + 6155094093497860409 T^{17} + 43138234069856708144 T^{18} + \)\(28\!\cdots\!48\)\( T^{19} + \)\(16\!\cdots\!18\)\( T^{20} + \)\(90\!\cdots\!48\)\( T^{21} + \)\(44\!\cdots\!92\)\( T^{22} + \)\(15\!\cdots\!13\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 50 T + 1882 T^{2} - 50535 T^{3} + 1142892 T^{4} - 21649886 T^{5} + 362096140 T^{6} - 5357588155 T^{7} + 72052590140 T^{8} - 885465616422 T^{9} + 10155880272401 T^{10} - 109630009836830 T^{11} + 1135304366473216 T^{12} - 11336309613424532 T^{13} + 110124523547901952 T^{14} - 1031508762554733470 T^{15} + 9268997715853037873 T^{16} - 78389634372061452582 T^{17} + \)\(61\!\cdots\!80\)\( T^{18} - \)\(44\!\cdots\!95\)\( T^{19} + \)\(29\!\cdots\!20\)\( T^{20} - \)\(16\!\cdots\!46\)\( T^{21} + \)\(86\!\cdots\!64\)\( T^{22} - \)\(37\!\cdots\!15\)\( T^{23} + \)\(13\!\cdots\!46\)\( T^{24} - \)\(34\!\cdots\!50\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))
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