Properties

Label 5054.2
Level 5054
Weight 2
Dimension 247710
Nonzero newspaces 32
Sturm bound 3119040

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Defining parameters

Level: \( N \) = \( 5054 = 2 \cdot 7 \cdot 19^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 32 \)
Sturm bound: \(3119040\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5054))\).

Total New Old
Modular forms 785808 247710 538098
Cusp forms 773713 247710 526003
Eisenstein series 12095 0 12095

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5054))\)

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
5054.2.a \(\chi_{5054}(1, \cdot)\) 5054.2.a.a 1 1
5054.2.a.b 1
5054.2.a.c 1
5054.2.a.d 2
5054.2.a.e 2
5054.2.a.f 2
5054.2.a.g 2
5054.2.a.h 2
5054.2.a.i 2
5054.2.a.j 2
5054.2.a.k 2
5054.2.a.l 2
5054.2.a.m 2
5054.2.a.n 2
5054.2.a.o 2
5054.2.a.p 2
5054.2.a.q 3
5054.2.a.r 3
5054.2.a.s 3
5054.2.a.t 3
5054.2.a.u 3
5054.2.a.v 4
5054.2.a.w 4
5054.2.a.x 4
5054.2.a.y 4
5054.2.a.z 6
5054.2.a.ba 6
5054.2.a.bb 6
5054.2.a.bc 6
5054.2.a.bd 6
5054.2.a.be 6
5054.2.a.bf 8
5054.2.a.bg 8
5054.2.a.bh 8
5054.2.a.bi 8
5054.2.a.bj 9
5054.2.a.bk 9
5054.2.a.bl 12
5054.2.a.bm 12
5054.2.d \(\chi_{5054}(5053, \cdot)\) n/a 224 1
5054.2.e \(\chi_{5054}(723, \cdot)\) n/a 456 2
5054.2.f \(\chi_{5054}(4761, \cdot)\) n/a 340 2
5054.2.g \(\chi_{5054}(653, \cdot)\) n/a 456 2
5054.2.h \(\chi_{5054}(429, \cdot)\) n/a 456 2
5054.2.k \(\chi_{5054}(3181, \cdot)\) n/a 456 2
5054.2.l \(\chi_{5054}(2887, \cdot)\) n/a 456 2
5054.2.m \(\chi_{5054}(69, \cdot)\) n/a 448 2
5054.2.t \(\chi_{5054}(2957, \cdot)\) n/a 456 2
5054.2.u \(\chi_{5054}(99, \cdot)\) n/a 1020 6
5054.2.v \(\chi_{5054}(821, \cdot)\) n/a 1356 6
5054.2.w \(\chi_{5054}(389, \cdot)\) n/a 1356 6
5054.2.x \(\chi_{5054}(307, \cdot)\) n/a 1368 6
5054.2.y \(\chi_{5054}(1055, \cdot)\) n/a 1356 6
5054.2.bd \(\chi_{5054}(299, \cdot)\) n/a 1356 6
5054.2.bg \(\chi_{5054}(267, \cdot)\) n/a 3420 18
5054.2.bh \(\chi_{5054}(265, \cdot)\) n/a 4608 18
5054.2.bk \(\chi_{5054}(163, \cdot)\) n/a 9072 36
5054.2.bl \(\chi_{5054}(11, \cdot)\) n/a 9072 36
5054.2.bm \(\chi_{5054}(197, \cdot)\) n/a 6840 36
5054.2.bn \(\chi_{5054}(39, \cdot)\) n/a 9072 36
5054.2.bo \(\chi_{5054}(31, \cdot)\) n/a 9072 36
5054.2.bv \(\chi_{5054}(27, \cdot)\) n/a 9216 36
5054.2.bw \(\chi_{5054}(75, \cdot)\) n/a 9072 36
5054.2.bx \(\chi_{5054}(145, \cdot)\) n/a 9072 36
5054.2.ca \(\chi_{5054}(25, \cdot)\) n/a 27432 108
5054.2.cb \(\chi_{5054}(9, \cdot)\) n/a 27432 108
5054.2.cc \(\chi_{5054}(43, \cdot)\) n/a 20520 108
5054.2.cf \(\chi_{5054}(33, \cdot)\) n/a 27432 108
5054.2.ck \(\chi_{5054}(3, \cdot)\) n/a 27432 108
5054.2.cl \(\chi_{5054}(13, \cdot)\) n/a 27216 108

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(5054))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(5054)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(38))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(133))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(266))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(361))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(722))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2527))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))
$3$ (\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 + T + 5 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T + 3 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T + 5 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T + 5 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - T + 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - 3 T + 7 T^{2} - 9 T^{3} + 9 T^{4} \))(\( 1 + 3 T + 7 T^{2} + 9 T^{3} + 9 T^{4} \))(\( 1 + 3 T + 7 T^{2} + 9 T^{3} + 9 T^{4} \))(\( 1 + T + 5 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T + 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T - T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T + 5 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - T + 5 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 8 T^{3} + 15 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 - T + 2 T^{2} - 10 T^{3} + 6 T^{4} - 9 T^{5} + 27 T^{6} \))(\( 1 - 3 T + 9 T^{2} - 15 T^{3} + 27 T^{4} - 27 T^{5} + 27 T^{6} \))(\( 1 + 3 T + 9 T^{2} + 15 T^{3} + 27 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 - 2 T + 5 T^{2} - 8 T^{3} + 15 T^{4} - 18 T^{5} + 27 T^{6} \))(\( 1 + 4 T + 13 T^{2} + 30 T^{3} + 61 T^{4} + 90 T^{5} + 117 T^{6} + 108 T^{7} + 81 T^{8} \))(\( 1 + T + 2 T^{2} + T^{3} - 2 T^{4} + 3 T^{5} + 18 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 - T + 2 T^{2} - T^{3} - 2 T^{4} - 3 T^{5} + 18 T^{6} - 27 T^{7} + 81 T^{8} \))(\( 1 - 4 T + 13 T^{2} - 30 T^{3} + 61 T^{4} - 90 T^{5} + 117 T^{6} - 108 T^{7} + 81 T^{8} \))(\( 1 + 5 T^{2} - 4 T^{3} + 20 T^{4} - 20 T^{5} + 68 T^{6} - 60 T^{7} + 180 T^{8} - 108 T^{9} + 405 T^{10} + 729 T^{12} \))(\( 1 - 2 T + 5 T^{2} - 4 T^{3} + 6 T^{4} - 10 T^{5} + 16 T^{6} - 30 T^{7} + 54 T^{8} - 108 T^{9} + 405 T^{10} - 486 T^{11} + 729 T^{12} \))(\( 1 - 3 T + 15 T^{2} - 34 T^{3} + 102 T^{4} - 180 T^{5} + 395 T^{6} - 540 T^{7} + 918 T^{8} - 918 T^{9} + 1215 T^{10} - 729 T^{11} + 729 T^{12} \))(\( 1 + 3 T + 15 T^{2} + 34 T^{3} + 102 T^{4} + 180 T^{5} + 395 T^{6} + 540 T^{7} + 918 T^{8} + 918 T^{9} + 1215 T^{10} + 729 T^{11} + 729 T^{12} \))(\( 1 + 2 T + 5 T^{2} + 4 T^{3} + 6 T^{4} + 10 T^{5} + 16 T^{6} + 30 T^{7} + 54 T^{8} + 108 T^{9} + 405 T^{10} + 486 T^{11} + 729 T^{12} \))(\( 1 + 5 T^{2} + 4 T^{3} + 20 T^{4} + 20 T^{5} + 68 T^{6} + 60 T^{7} + 180 T^{8} + 108 T^{9} + 405 T^{10} + 729 T^{12} \))(\( 1 + 4 T + 16 T^{2} + 46 T^{3} + 123 T^{4} + 284 T^{5} + 614 T^{6} + 1208 T^{7} + 2173 T^{8} + 3624 T^{9} + 5526 T^{10} + 7668 T^{11} + 9963 T^{12} + 11178 T^{13} + 11664 T^{14} + 8748 T^{15} + 6561 T^{16} \))(\( 1 - 4 T + 16 T^{2} - 46 T^{3} + 123 T^{4} - 284 T^{5} + 614 T^{6} - 1168 T^{7} + 2153 T^{8} - 3504 T^{9} + 5526 T^{10} - 7668 T^{11} + 9963 T^{12} - 11178 T^{13} + 11664 T^{14} - 8748 T^{15} + 6561 T^{16} \))(\( 1 + 4 T + 16 T^{2} + 46 T^{3} + 123 T^{4} + 284 T^{5} + 614 T^{6} + 1168 T^{7} + 2153 T^{8} + 3504 T^{9} + 5526 T^{10} + 7668 T^{11} + 9963 T^{12} + 11178 T^{13} + 11664 T^{14} + 8748 T^{15} + 6561 T^{16} \))(\( 1 - 4 T + 16 T^{2} - 46 T^{3} + 123 T^{4} - 284 T^{5} + 614 T^{6} - 1208 T^{7} + 2173 T^{8} - 3624 T^{9} + 5526 T^{10} - 7668 T^{11} + 9963 T^{12} - 11178 T^{13} + 11664 T^{14} - 8748 T^{15} + 6561 T^{16} \))(\( 1 + 3 T + 12 T^{2} + 32 T^{3} + 90 T^{4} + 198 T^{5} + 443 T^{6} + 876 T^{7} + 1686 T^{8} + 2933 T^{9} + 5058 T^{10} + 7884 T^{11} + 11961 T^{12} + 16038 T^{13} + 21870 T^{14} + 23328 T^{15} + 26244 T^{16} + 19683 T^{17} + 19683 T^{18} \))(\( 1 - 3 T + 12 T^{2} - 32 T^{3} + 90 T^{4} - 198 T^{5} + 443 T^{6} - 876 T^{7} + 1686 T^{8} - 2933 T^{9} + 5058 T^{10} - 7884 T^{11} + 11961 T^{12} - 16038 T^{13} + 21870 T^{14} - 23328 T^{15} + 26244 T^{16} - 19683 T^{17} + 19683 T^{18} \))(\( 1 + 3 T + 12 T^{2} + 31 T^{3} + 87 T^{4} + 204 T^{5} + 518 T^{6} + 1077 T^{7} + 2364 T^{8} + 4522 T^{9} + 9012 T^{10} + 16104 T^{11} + 29773 T^{12} + 48312 T^{13} + 81108 T^{14} + 122094 T^{15} + 191484 T^{16} + 261711 T^{17} + 377622 T^{18} + 446148 T^{19} + 570807 T^{20} + 610173 T^{21} + 708588 T^{22} + 531441 T^{23} + 531441 T^{24} \))(\( 1 - 3 T + 12 T^{2} - 31 T^{3} + 87 T^{4} - 204 T^{5} + 518 T^{6} - 1077 T^{7} + 2364 T^{8} - 4522 T^{9} + 9012 T^{10} - 16104 T^{11} + 29773 T^{12} - 48312 T^{13} + 81108 T^{14} - 122094 T^{15} + 191484 T^{16} - 261711 T^{17} + 377622 T^{18} - 446148 T^{19} + 570807 T^{20} - 610173 T^{21} + 708588 T^{22} - 531441 T^{23} + 531441 T^{24} \))
$5$ (\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + T - T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T + 7 T^{2} - 5 T^{3} + 25 T^{4} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( 1 + 3 T + 11 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 + T + 6 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 9 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 9 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - T - T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 11 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 + T + 6 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T + 3 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T - T^{2} + 5 T^{3} + 25 T^{4} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( 1 + T - 15 T^{3} + 25 T^{5} + 125 T^{6} \))(\( 1 - 5 T + 18 T^{2} - 48 T^{3} + 90 T^{4} - 125 T^{5} + 125 T^{6} \))(\( 1 + 3 T + 15 T^{2} + 29 T^{3} + 75 T^{4} + 75 T^{5} + 125 T^{6} \))(\( 1 + 3 T + 15 T^{2} + 29 T^{3} + 75 T^{4} + 75 T^{5} + 125 T^{6} \))(\( 1 + T - 15 T^{3} + 25 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 14 T^{2} - 28 T^{3} + 91 T^{4} - 140 T^{5} + 350 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - T + 3 T^{2} - 12 T^{3} + 16 T^{4} - 60 T^{5} + 75 T^{6} - 125 T^{7} + 625 T^{8} \))(\( 1 - T + 3 T^{2} - 12 T^{3} + 16 T^{4} - 60 T^{5} + 75 T^{6} - 125 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 14 T^{2} - 28 T^{3} + 91 T^{4} - 140 T^{5} + 350 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 + T + 15 T^{2} + 19 T^{3} + 142 T^{4} + 153 T^{5} + 859 T^{6} + 765 T^{7} + 3550 T^{8} + 2375 T^{9} + 9375 T^{10} + 3125 T^{11} + 15625 T^{12} \))(\( 1 + 5 T + 21 T^{2} + 69 T^{3} + 214 T^{4} + 557 T^{5} + 1309 T^{6} + 2785 T^{7} + 5350 T^{8} + 8625 T^{9} + 13125 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 + 3 T + 18 T^{2} + 28 T^{3} + 93 T^{4} + 45 T^{5} + 288 T^{6} + 225 T^{7} + 2325 T^{8} + 3500 T^{9} + 11250 T^{10} + 9375 T^{11} + 15625 T^{12} \))(\( 1 + 3 T + 18 T^{2} + 28 T^{3} + 93 T^{4} + 45 T^{5} + 288 T^{6} + 225 T^{7} + 2325 T^{8} + 3500 T^{9} + 11250 T^{10} + 9375 T^{11} + 15625 T^{12} \))(\( 1 + 5 T + 21 T^{2} + 69 T^{3} + 214 T^{4} + 557 T^{5} + 1309 T^{6} + 2785 T^{7} + 5350 T^{8} + 8625 T^{9} + 13125 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 + T + 15 T^{2} + 19 T^{3} + 142 T^{4} + 153 T^{5} + 859 T^{6} + 765 T^{7} + 3550 T^{8} + 2375 T^{9} + 9375 T^{10} + 3125 T^{11} + 15625 T^{12} \))(\( 1 - 6 T + 42 T^{2} - 168 T^{3} + 710 T^{4} - 2182 T^{5} + 6872 T^{6} - 16934 T^{7} + 42391 T^{8} - 84670 T^{9} + 171800 T^{10} - 272750 T^{11} + 443750 T^{12} - 525000 T^{13} + 656250 T^{14} - 468750 T^{15} + 390625 T^{16} \))(\( 1 + 2 T + 18 T^{2} + 24 T^{3} + 130 T^{4} + 154 T^{5} + 688 T^{6} + 1042 T^{7} + 3611 T^{8} + 5210 T^{9} + 17200 T^{10} + 19250 T^{11} + 81250 T^{12} + 75000 T^{13} + 281250 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 + 2 T + 18 T^{2} + 24 T^{3} + 130 T^{4} + 154 T^{5} + 688 T^{6} + 1042 T^{7} + 3611 T^{8} + 5210 T^{9} + 17200 T^{10} + 19250 T^{11} + 81250 T^{12} + 75000 T^{13} + 281250 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 - 6 T + 42 T^{2} - 168 T^{3} + 710 T^{4} - 2182 T^{5} + 6872 T^{6} - 16934 T^{7} + 42391 T^{8} - 84670 T^{9} + 171800 T^{10} - 272750 T^{11} + 443750 T^{12} - 525000 T^{13} + 656250 T^{14} - 468750 T^{15} + 390625 T^{16} \))(\( 1 - 3 T + 27 T^{2} - 77 T^{3} + 393 T^{4} - 981 T^{5} + 3732 T^{6} - 8163 T^{7} + 25323 T^{8} - 47901 T^{9} + 126615 T^{10} - 204075 T^{11} + 466500 T^{12} - 613125 T^{13} + 1228125 T^{14} - 1203125 T^{15} + 2109375 T^{16} - 1171875 T^{17} + 1953125 T^{18} \))(\( 1 - 3 T + 27 T^{2} - 77 T^{3} + 393 T^{4} - 981 T^{5} + 3732 T^{6} - 8163 T^{7} + 25323 T^{8} - 47901 T^{9} + 126615 T^{10} - 204075 T^{11} + 466500 T^{12} - 613125 T^{13} + 1228125 T^{14} - 1203125 T^{15} + 2109375 T^{16} - 1171875 T^{17} + 1953125 T^{18} \))(\( 1 - 3 T + 18 T^{2} - 16 T^{3} + 111 T^{4} + 9 T^{5} + 843 T^{6} + 192 T^{7} + 4983 T^{8} + 5070 T^{9} + 25101 T^{10} + 26928 T^{11} + 149854 T^{12} + 134640 T^{13} + 627525 T^{14} + 633750 T^{15} + 3114375 T^{16} + 600000 T^{17} + 13171875 T^{18} + 703125 T^{19} + 43359375 T^{20} - 31250000 T^{21} + 175781250 T^{22} - 146484375 T^{23} + 244140625 T^{24} \))(\( 1 - 3 T + 18 T^{2} - 16 T^{3} + 111 T^{4} + 9 T^{5} + 843 T^{6} + 192 T^{7} + 4983 T^{8} + 5070 T^{9} + 25101 T^{10} + 26928 T^{11} + 149854 T^{12} + 134640 T^{13} + 627525 T^{14} + 633750 T^{15} + 3114375 T^{16} + 600000 T^{17} + 13171875 T^{18} + 703125 T^{19} + 43359375 T^{20} - 31250000 T^{21} + 175781250 T^{22} - 146484375 T^{23} + 244140625 T^{24} \))
$7$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))
$11$ (\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - T + 21 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 + 5 T + 25 T^{2} + 55 T^{3} + 121 T^{4} \))(\( ( 1 + 5 T + 11 T^{2} )^{2} \))(\( 1 + 3 T + 13 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 9 T + 38 T^{2} + 99 T^{3} + 121 T^{4} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( 1 - 7 T + 33 T^{2} - 77 T^{3} + 121 T^{4} \))(\( 1 + 3 T + 13 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 9 T + 38 T^{2} + 99 T^{3} + 121 T^{4} \))(\( 1 - 3 T + 17 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - T + 21 T^{2} - 11 T^{3} + 121 T^{4} \))(\( ( 1 + 5 T + 11 T^{2} )^{2} \))(\( 1 - 6 T + 17 T^{2} - 32 T^{3} + 187 T^{4} - 726 T^{5} + 1331 T^{6} \))(\( 1 - 3 T + 8 T^{2} + 10 T^{3} + 88 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 + 3 T + 33 T^{2} + 65 T^{3} + 363 T^{4} + 363 T^{5} + 1331 T^{6} \))(\( 1 + 3 T + 33 T^{2} + 65 T^{3} + 363 T^{4} + 363 T^{5} + 1331 T^{6} \))(\( 1 - 6 T + 17 T^{2} - 32 T^{3} + 187 T^{4} - 726 T^{5} + 1331 T^{6} \))(\( 1 - 4 T + 30 T^{2} - 96 T^{3} + 479 T^{4} - 1056 T^{5} + 3630 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 - 7 T + 52 T^{2} - 219 T^{3} + 890 T^{4} - 2409 T^{5} + 6292 T^{6} - 9317 T^{7} + 14641 T^{8} \))(\( 1 - 7 T + 52 T^{2} - 219 T^{3} + 890 T^{4} - 2409 T^{5} + 6292 T^{6} - 9317 T^{7} + 14641 T^{8} \))(\( 1 - 4 T + 30 T^{2} - 96 T^{3} + 479 T^{4} - 1056 T^{5} + 3630 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 - 4 T + 36 T^{2} - 124 T^{3} + 708 T^{4} - 2028 T^{5} + 9542 T^{6} - 22308 T^{7} + 85668 T^{8} - 165044 T^{9} + 527076 T^{10} - 644204 T^{11} + 1771561 T^{12} \))(\( 1 + 4 T + 40 T^{2} + 92 T^{3} + 680 T^{4} + 1236 T^{5} + 8598 T^{6} + 13596 T^{7} + 82280 T^{8} + 122452 T^{9} + 585640 T^{10} + 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 3 T + 57 T^{2} - 150 T^{3} + 1452 T^{4} - 3120 T^{5} + 20813 T^{6} - 34320 T^{7} + 175692 T^{8} - 199650 T^{9} + 834537 T^{10} - 483153 T^{11} + 1771561 T^{12} \))(\( 1 - 3 T + 57 T^{2} - 150 T^{3} + 1452 T^{4} - 3120 T^{5} + 20813 T^{6} - 34320 T^{7} + 175692 T^{8} - 199650 T^{9} + 834537 T^{10} - 483153 T^{11} + 1771561 T^{12} \))(\( 1 + 4 T + 40 T^{2} + 92 T^{3} + 680 T^{4} + 1236 T^{5} + 8598 T^{6} + 13596 T^{7} + 82280 T^{8} + 122452 T^{9} + 585640 T^{10} + 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T + 36 T^{2} - 124 T^{3} + 708 T^{4} - 2028 T^{5} + 9542 T^{6} - 22308 T^{7} + 85668 T^{8} - 165044 T^{9} + 527076 T^{10} - 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T + 60 T^{2} - 240 T^{3} + 1750 T^{4} - 6852 T^{5} + 32568 T^{6} - 117180 T^{7} + 423015 T^{8} - 1288980 T^{9} + 3940728 T^{10} - 9120012 T^{11} + 25621750 T^{12} - 38652240 T^{13} + 106293660 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 12 T + 116 T^{2} + 768 T^{3} + 4526 T^{4} + 21916 T^{5} + 97384 T^{6} + 373604 T^{7} + 1325887 T^{8} + 4109644 T^{9} + 11783464 T^{10} + 29170196 T^{11} + 66265166 T^{12} + 123687168 T^{13} + 205501076 T^{14} + 233846052 T^{15} + 214358881 T^{16} \))(\( 1 + 12 T + 116 T^{2} + 768 T^{3} + 4526 T^{4} + 21916 T^{5} + 97384 T^{6} + 373604 T^{7} + 1325887 T^{8} + 4109644 T^{9} + 11783464 T^{10} + 29170196 T^{11} + 66265166 T^{12} + 123687168 T^{13} + 205501076 T^{14} + 233846052 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T + 60 T^{2} - 240 T^{3} + 1750 T^{4} - 6852 T^{5} + 32568 T^{6} - 117180 T^{7} + 423015 T^{8} - 1288980 T^{9} + 3940728 T^{10} - 9120012 T^{11} + 25621750 T^{12} - 38652240 T^{13} + 106293660 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 3 T + 51 T^{2} + 135 T^{3} + 1416 T^{4} + 3450 T^{5} + 27224 T^{6} + 59457 T^{7} + 389718 T^{8} + 753382 T^{9} + 4286898 T^{10} + 7194297 T^{11} + 36235144 T^{12} + 50511450 T^{13} + 228048216 T^{14} + 239160735 T^{15} + 993845721 T^{16} + 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 + 3 T + 51 T^{2} + 135 T^{3} + 1416 T^{4} + 3450 T^{5} + 27224 T^{6} + 59457 T^{7} + 389718 T^{8} + 753382 T^{9} + 4286898 T^{10} + 7194297 T^{11} + 36235144 T^{12} + 50511450 T^{13} + 228048216 T^{14} + 239160735 T^{15} + 993845721 T^{16} + 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 - 3 T + 27 T^{2} - 52 T^{3} + 321 T^{4} - 633 T^{5} + 5068 T^{6} - 6162 T^{7} + 44493 T^{8} + 53181 T^{9} + 214521 T^{10} + 714819 T^{11} + 3254114 T^{12} + 7863009 T^{13} + 25957041 T^{14} + 70783911 T^{15} + 651422013 T^{16} - 992396262 T^{17} + 8978271148 T^{18} - 12335379243 T^{19} + 68809200801 T^{20} - 122613279932 T^{21} + 700310464227 T^{22} - 855935011833 T^{23} + 3138428376721 T^{24} \))(\( 1 - 3 T + 27 T^{2} - 52 T^{3} + 321 T^{4} - 633 T^{5} + 5068 T^{6} - 6162 T^{7} + 44493 T^{8} + 53181 T^{9} + 214521 T^{10} + 714819 T^{11} + 3254114 T^{12} + 7863009 T^{13} + 25957041 T^{14} + 70783911 T^{15} + 651422013 T^{16} - 992396262 T^{17} + 8978271148 T^{18} - 12335379243 T^{19} + 68809200801 T^{20} - 122613279932 T^{21} + 700310464227 T^{22} - 855935011833 T^{23} + 3138428376721 T^{24} \))
$13$ (\( 1 - 5 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( 1 + 6 T + 22 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 + 3 T + 17 T^{2} + 39 T^{3} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( 1 + 5 T + 28 T^{2} + 65 T^{3} + 169 T^{4} \))(\( 1 + T + 15 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 - T + 15 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( 1 - 5 T + 28 T^{2} - 65 T^{3} + 169 T^{4} \))(\( 1 - 2 T - 2 T^{2} - 26 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - 3 T + 17 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 - T + 26 T^{2} - 3 T^{3} + 338 T^{4} - 169 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 23 T^{2} - 96 T^{3} + 299 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 + 36 T^{2} + T^{3} + 468 T^{4} + 2197 T^{6} \))(\( 1 + 36 T^{2} - T^{3} + 468 T^{4} + 2197 T^{6} \))(\( 1 + T + 26 T^{2} + 3 T^{3} + 338 T^{4} + 169 T^{5} + 2197 T^{6} \))(\( 1 - 2 T + 41 T^{2} - 86 T^{3} + 729 T^{4} - 1118 T^{5} + 6929 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 5 T + 27 T^{2} + 50 T^{3} + 266 T^{4} + 650 T^{5} + 4563 T^{6} + 10985 T^{7} + 28561 T^{8} \))(\( 1 - 5 T + 27 T^{2} - 50 T^{3} + 266 T^{4} - 650 T^{5} + 4563 T^{6} - 10985 T^{7} + 28561 T^{8} \))(\( 1 + 2 T + 41 T^{2} + 86 T^{3} + 729 T^{4} + 1118 T^{5} + 6929 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 + 15 T + 148 T^{2} + 1048 T^{3} + 5925 T^{4} + 27672 T^{5} + 108311 T^{6} + 359736 T^{7} + 1001325 T^{8} + 2302456 T^{9} + 4227028 T^{10} + 5569395 T^{11} + 4826809 T^{12} \))(\( 1 - 23 T + 272 T^{2} - 2156 T^{3} + 12835 T^{4} - 61070 T^{5} + 240597 T^{6} - 793910 T^{7} + 2169115 T^{8} - 4736732 T^{9} + 7768592 T^{10} - 8539739 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 81 T^{2} - 373 T^{3} + 2679 T^{4} - 9489 T^{5} + 46678 T^{6} - 123357 T^{7} + 452751 T^{8} - 819481 T^{9} + 2313441 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 81 T^{2} + 373 T^{3} + 2679 T^{4} + 9489 T^{5} + 46678 T^{6} + 123357 T^{7} + 452751 T^{8} + 819481 T^{9} + 2313441 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 23 T + 272 T^{2} + 2156 T^{3} + 12835 T^{4} + 61070 T^{5} + 240597 T^{6} + 793910 T^{7} + 2169115 T^{8} + 4736732 T^{9} + 7768592 T^{10} + 8539739 T^{11} + 4826809 T^{12} \))(\( 1 - 15 T + 148 T^{2} - 1048 T^{3} + 5925 T^{4} - 27672 T^{5} + 108311 T^{6} - 359736 T^{7} + 1001325 T^{8} - 2302456 T^{9} + 4227028 T^{10} - 5569395 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 66 T^{2} + 364 T^{3} + 2123 T^{4} + 9886 T^{5} + 44274 T^{6} + 170392 T^{7} + 666613 T^{8} + 2215096 T^{9} + 7482306 T^{10} + 21719542 T^{11} + 60635003 T^{12} + 135150652 T^{13} + 318569394 T^{14} + 376491102 T^{15} + 815730721 T^{16} \))(\( 1 - 10 T + 114 T^{2} - 740 T^{3} + 5007 T^{4} - 24730 T^{5} + 124722 T^{6} - 495920 T^{7} + 1995105 T^{8} - 6446960 T^{9} + 21078018 T^{10} - 54331810 T^{11} + 143004927 T^{12} - 274756820 T^{13} + 550256226 T^{14} - 627485170 T^{15} + 815730721 T^{16} \))(\( 1 + 10 T + 114 T^{2} + 740 T^{3} + 5007 T^{4} + 24730 T^{5} + 124722 T^{6} + 495920 T^{7} + 1995105 T^{8} + 6446960 T^{9} + 21078018 T^{10} + 54331810 T^{11} + 143004927 T^{12} + 274756820 T^{13} + 550256226 T^{14} + 627485170 T^{15} + 815730721 T^{16} \))(\( 1 - 6 T + 66 T^{2} - 364 T^{3} + 2123 T^{4} - 9886 T^{5} + 44274 T^{6} - 170392 T^{7} + 666613 T^{8} - 2215096 T^{9} + 7482306 T^{10} - 21719542 T^{11} + 60635003 T^{12} - 135150652 T^{13} + 318569394 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 + 12 T + 120 T^{2} + 797 T^{3} + 4866 T^{4} + 24402 T^{5} + 117668 T^{6} + 499824 T^{7} + 2055912 T^{8} + 7554003 T^{9} + 26726856 T^{10} + 84470256 T^{11} + 258516596 T^{12} + 696945522 T^{13} + 1806711738 T^{14} + 3846966773 T^{15} + 7529822040 T^{16} + 9788768652 T^{17} + 10604499373 T^{18} \))(\( 1 - 12 T + 120 T^{2} - 797 T^{3} + 4866 T^{4} - 24402 T^{5} + 117668 T^{6} - 499824 T^{7} + 2055912 T^{8} - 7554003 T^{9} + 26726856 T^{10} - 84470256 T^{11} + 258516596 T^{12} - 696945522 T^{13} + 1806711738 T^{14} - 3846966773 T^{15} + 7529822040 T^{16} - 9788768652 T^{17} + 10604499373 T^{18} \))(\( 1 - 6 T + 69 T^{2} - 313 T^{3} + 2457 T^{4} - 9351 T^{5} + 60021 T^{6} - 202677 T^{7} + 1170618 T^{8} - 3604684 T^{9} + 19073742 T^{10} - 54394341 T^{11} + 267700448 T^{12} - 707126433 T^{13} + 3223462398 T^{14} - 7919490748 T^{15} + 33434020698 T^{16} - 75252551361 T^{17} + 289709902989 T^{18} - 586761382467 T^{19} + 2004250381497 T^{20} - 3319208303749 T^{21} + 9512235937581 T^{22} - 10752962364222 T^{23} + 23298085122481 T^{24} \))(\( 1 + 6 T + 69 T^{2} + 313 T^{3} + 2457 T^{4} + 9351 T^{5} + 60021 T^{6} + 202677 T^{7} + 1170618 T^{8} + 3604684 T^{9} + 19073742 T^{10} + 54394341 T^{11} + 267700448 T^{12} + 707126433 T^{13} + 3223462398 T^{14} + 7919490748 T^{15} + 33434020698 T^{16} + 75252551361 T^{17} + 289709902989 T^{18} + 586761382467 T^{19} + 2004250381497 T^{20} + 3319208303749 T^{21} + 9512235937581 T^{22} + 10752962364222 T^{23} + 23298085122481 T^{24} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 30 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 - 7 T + 35 T^{2} - 119 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 38 T^{2} - 102 T^{3} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( 1 + 3 T + 25 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T + 25 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 38 T^{2} - 102 T^{3} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 30 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 7 T + 35 T^{2} - 119 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 56 T^{3} + 391 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 11 T^{2} + 20 T^{3} + 187 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 24 T^{2} - 27 T^{3} + 408 T^{4} + 4913 T^{6} \))(\( 1 + 24 T^{2} - 27 T^{3} + 408 T^{4} + 4913 T^{6} \))(\( 1 + 6 T + 23 T^{2} + 56 T^{3} + 391 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 57 T^{2} - 70 T^{3} + 1341 T^{4} - 1190 T^{5} + 16473 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 16 T^{2} + 54 T^{3} - 10 T^{4} + 918 T^{5} + 4624 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 16 T^{2} + 54 T^{3} - 10 T^{4} + 918 T^{5} + 4624 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 57 T^{2} - 70 T^{3} + 1341 T^{4} - 1190 T^{5} + 16473 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 9 T + 76 T^{2} + 400 T^{3} + 2397 T^{4} + 10920 T^{5} + 52371 T^{6} + 185640 T^{7} + 692733 T^{8} + 1965200 T^{9} + 6347596 T^{10} + 12778713 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T + 48 T^{2} + 108 T^{3} + 1435 T^{4} + 2478 T^{5} + 27073 T^{6} + 42126 T^{7} + 414715 T^{8} + 530604 T^{9} + 4009008 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 + 9 T + 78 T^{2} + 416 T^{3} + 1965 T^{4} + 7863 T^{5} + 31553 T^{6} + 133671 T^{7} + 567885 T^{8} + 2043808 T^{9} + 6514638 T^{10} + 12778713 T^{11} + 24137569 T^{12} \))(\( 1 + 9 T + 78 T^{2} + 416 T^{3} + 1965 T^{4} + 7863 T^{5} + 31553 T^{6} + 133671 T^{7} + 567885 T^{8} + 2043808 T^{9} + 6514638 T^{10} + 12778713 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T + 48 T^{2} + 108 T^{3} + 1435 T^{4} + 2478 T^{5} + 27073 T^{6} + 42126 T^{7} + 414715 T^{8} + 530604 T^{9} + 4009008 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 + 9 T + 76 T^{2} + 400 T^{3} + 2397 T^{4} + 10920 T^{5} + 52371 T^{6} + 185640 T^{7} + 692733 T^{8} + 1965200 T^{9} + 6347596 T^{10} + 12778713 T^{11} + 24137569 T^{12} \))(\( 1 - 2 T + 94 T^{2} - 152 T^{3} + 4323 T^{4} - 5882 T^{5} + 126346 T^{6} - 145596 T^{7} + 2552893 T^{8} - 2475132 T^{9} + 36513994 T^{10} - 28898266 T^{11} + 361061283 T^{12} - 215818264 T^{13} + 2268931486 T^{14} - 820677346 T^{15} + 6975757441 T^{16} \))(\( 1 + 6 T + 78 T^{2} + 252 T^{3} + 2471 T^{4} + 5966 T^{5} + 62810 T^{6} + 144916 T^{7} + 1281969 T^{8} + 2463572 T^{9} + 18152090 T^{10} + 29310958 T^{11} + 206380391 T^{12} + 357803964 T^{13} + 1882730382 T^{14} + 2462032038 T^{15} + 6975757441 T^{16} \))(\( 1 + 6 T + 78 T^{2} + 252 T^{3} + 2471 T^{4} + 5966 T^{5} + 62810 T^{6} + 144916 T^{7} + 1281969 T^{8} + 2463572 T^{9} + 18152090 T^{10} + 29310958 T^{11} + 206380391 T^{12} + 357803964 T^{13} + 1882730382 T^{14} + 2462032038 T^{15} + 6975757441 T^{16} \))(\( 1 - 2 T + 94 T^{2} - 152 T^{3} + 4323 T^{4} - 5882 T^{5} + 126346 T^{6} - 145596 T^{7} + 2552893 T^{8} - 2475132 T^{9} + 36513994 T^{10} - 28898266 T^{11} + 361061283 T^{12} - 215818264 T^{13} + 2268931486 T^{14} - 820677346 T^{15} + 6975757441 T^{16} \))(\( 1 - 12 T + 156 T^{2} - 1155 T^{3} + 8481 T^{4} - 45090 T^{5} + 238907 T^{6} - 1014333 T^{7} + 4549431 T^{8} - 17771044 T^{9} + 77340327 T^{10} - 293142237 T^{11} + 1173750091 T^{12} - 3765961890 T^{13} + 12041807217 T^{14} - 27878892195 T^{15} + 64012832988 T^{16} - 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 - 12 T + 156 T^{2} - 1155 T^{3} + 8481 T^{4} - 45090 T^{5} + 238907 T^{6} - 1014333 T^{7} + 4549431 T^{8} - 17771044 T^{9} + 77340327 T^{10} - 293142237 T^{11} + 1173750091 T^{12} - 3765961890 T^{13} + 12041807217 T^{14} - 27878892195 T^{15} + 64012832988 T^{16} - 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 - 3 T + 90 T^{2} - 308 T^{3} + 4338 T^{4} - 17202 T^{5} + 144055 T^{6} - 651777 T^{7} + 3701421 T^{8} - 18294732 T^{9} + 78371055 T^{10} - 396204378 T^{11} + 1427548736 T^{12} - 6735474426 T^{13} + 22649234895 T^{14} - 89882018316 T^{15} + 309146383341 T^{16} - 925430135889 T^{17} + 3477137502295 T^{18} - 7058645852946 T^{19} + 30260835779058 T^{20} - 36525065961076 T^{21} + 181439451040410 T^{22} - 102815688922899 T^{23} + 582622237229761 T^{24} \))(\( 1 - 3 T + 90 T^{2} - 308 T^{3} + 4338 T^{4} - 17202 T^{5} + 144055 T^{6} - 651777 T^{7} + 3701421 T^{8} - 18294732 T^{9} + 78371055 T^{10} - 396204378 T^{11} + 1427548736 T^{12} - 6735474426 T^{13} + 22649234895 T^{14} - 89882018316 T^{15} + 309146383341 T^{16} - 925430135889 T^{17} + 3477137502295 T^{18} - 7058645852946 T^{19} + 30260835779058 T^{20} - 36525065961076 T^{21} + 181439451040410 T^{22} - 102815688922899 T^{23} + 582622237229761 T^{24} \))
$19$ 1
$23$ (\( 1 - T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( 1 + 2 T + 34 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 - 34 T^{2} + 529 T^{4} \))(\( 1 - 3 T + 44 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + T^{2} + 529 T^{4} \))(\( 1 + T^{2} + 529 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 34 T^{2} + 529 T^{4} \))(\( 1 - 3 T + 44 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 26 T^{2} + 138 T^{3} + 529 T^{4} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( 1 + 12 T + 77 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 40 T^{2} + 93 T^{3} + 920 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 + 2 T + 49 T^{2} + 60 T^{3} + 1127 T^{4} + 1058 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 45 T^{2} + 284 T^{3} + 1035 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + 6 T + 45 T^{2} + 284 T^{3} + 1035 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + 5 T + 40 T^{2} + 93 T^{3} + 920 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 78 T^{2} - 240 T^{3} + 2591 T^{4} - 5520 T^{5} + 41262 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 5 T + 33 T^{2} - 168 T^{3} + 922 T^{4} - 3864 T^{5} + 17457 T^{6} - 60835 T^{7} + 279841 T^{8} \))(\( 1 - 5 T + 33 T^{2} - 168 T^{3} + 922 T^{4} - 3864 T^{5} + 17457 T^{6} - 60835 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 78 T^{2} - 240 T^{3} + 2591 T^{4} - 5520 T^{5} + 41262 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 112 T^{2} - 404 T^{3} + 5696 T^{4} - 17316 T^{5} + 167838 T^{6} - 398268 T^{7} + 3013184 T^{8} - 4915468 T^{9} + 31342192 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 + 4 T + 72 T^{2} + 396 T^{3} + 3240 T^{4} + 14084 T^{5} + 98142 T^{6} + 323932 T^{7} + 1713960 T^{8} + 4818132 T^{9} + 20148552 T^{10} + 25745372 T^{11} + 148035889 T^{12} \))(\( 1 + 78 T^{2} + 144 T^{3} + 2895 T^{4} + 8208 T^{5} + 76196 T^{6} + 188784 T^{7} + 1531455 T^{8} + 1752048 T^{9} + 21827598 T^{10} + 148035889 T^{12} \))(\( 1 + 78 T^{2} + 144 T^{3} + 2895 T^{4} + 8208 T^{5} + 76196 T^{6} + 188784 T^{7} + 1531455 T^{8} + 1752048 T^{9} + 21827598 T^{10} + 148035889 T^{12} \))(\( 1 + 4 T + 72 T^{2} + 396 T^{3} + 3240 T^{4} + 14084 T^{5} + 98142 T^{6} + 323932 T^{7} + 1713960 T^{8} + 4818132 T^{9} + 20148552 T^{10} + 25745372 T^{11} + 148035889 T^{12} \))(\( 1 - 4 T + 112 T^{2} - 404 T^{3} + 5696 T^{4} - 17316 T^{5} + 167838 T^{6} - 398268 T^{7} + 3013184 T^{8} - 4915468 T^{9} + 31342192 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 - 20 T + 264 T^{2} - 2760 T^{3} + 23662 T^{4} - 173980 T^{5} + 1122872 T^{6} - 6399700 T^{7} + 32483735 T^{8} - 147193100 T^{9} + 593999288 T^{10} - 2116814660 T^{11} + 6621597742 T^{12} - 17764306680 T^{13} + 39081474696 T^{14} - 68096508940 T^{15} + 78310985281 T^{16} \))(\( 1 + 20 T + 304 T^{2} + 3240 T^{3} + 29462 T^{4} + 220540 T^{5} + 1462152 T^{6} + 8359220 T^{7} + 42920255 T^{8} + 192262060 T^{9} + 773478408 T^{10} + 2683310180 T^{11} + 8244675542 T^{12} + 20853751320 T^{13} + 45002910256 T^{14} + 68096508940 T^{15} + 78310985281 T^{16} \))(\( 1 + 20 T + 304 T^{2} + 3240 T^{3} + 29462 T^{4} + 220540 T^{5} + 1462152 T^{6} + 8359220 T^{7} + 42920255 T^{8} + 192262060 T^{9} + 773478408 T^{10} + 2683310180 T^{11} + 8244675542 T^{12} + 20853751320 T^{13} + 45002910256 T^{14} + 68096508940 T^{15} + 78310985281 T^{16} \))(\( 1 - 20 T + 264 T^{2} - 2760 T^{3} + 23662 T^{4} - 173980 T^{5} + 1122872 T^{6} - 6399700 T^{7} + 32483735 T^{8} - 147193100 T^{9} + 593999288 T^{10} - 2116814660 T^{11} + 6621597742 T^{12} - 17764306680 T^{13} + 39081474696 T^{14} - 68096508940 T^{15} + 78310985281 T^{16} \))(\( 1 - 6 T + 129 T^{2} - 658 T^{3} + 7959 T^{4} - 37620 T^{5} + 326038 T^{6} - 1431444 T^{7} + 9805827 T^{8} - 38649048 T^{9} + 225534021 T^{10} - 757233876 T^{11} + 3966904346 T^{12} - 10527618420 T^{13} + 51226853937 T^{14} - 97407614962 T^{15} + 439222482663 T^{16} - 469865911686 T^{17} + 1801152661463 T^{18} \))(\( 1 - 6 T + 129 T^{2} - 658 T^{3} + 7959 T^{4} - 37620 T^{5} + 326038 T^{6} - 1431444 T^{7} + 9805827 T^{8} - 38649048 T^{9} + 225534021 T^{10} - 757233876 T^{11} + 3966904346 T^{12} - 10527618420 T^{13} + 51226853937 T^{14} - 97407614962 T^{15} + 439222482663 T^{16} - 469865911686 T^{17} + 1801152661463 T^{18} \))(\( 1 - 12 T + 186 T^{2} - 1658 T^{3} + 15363 T^{4} - 108468 T^{5} + 775071 T^{6} - 4590942 T^{7} + 27874257 T^{8} - 145882818 T^{9} + 795714999 T^{10} - 3834645210 T^{11} + 19472336470 T^{12} - 88196839830 T^{13} + 420933234471 T^{14} - 1774956246606 T^{15} + 7800359953137 T^{16} - 29548877405106 T^{17} + 114738324523119 T^{18} - 369314606585196 T^{19} + 1203091666872003 T^{20} - 2986311112705654 T^{21} + 7705331085738714 T^{22} - 11433717094967124 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 12 T + 186 T^{2} - 1658 T^{3} + 15363 T^{4} - 108468 T^{5} + 775071 T^{6} - 4590942 T^{7} + 27874257 T^{8} - 145882818 T^{9} + 795714999 T^{10} - 3834645210 T^{11} + 19472336470 T^{12} - 88196839830 T^{13} + 420933234471 T^{14} - 1774956246606 T^{15} + 7800359953137 T^{16} - 29548877405106 T^{17} + 114738324523119 T^{18} - 369314606585196 T^{19} + 1203091666872003 T^{20} - 2986311112705654 T^{21} + 7705331085738714 T^{22} - 11433717094967124 T^{23} + 21914624432020321 T^{24} \))
$29$ (\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 9 T + 47 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 49 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 - 12 T + 89 T^{2} - 348 T^{3} + 841 T^{4} \))(\( 1 - 7 T + 59 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 + 4 T - 6 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 89 T^{2} + 348 T^{3} + 841 T^{4} \))(\( 1 - 12 T + 89 T^{2} - 348 T^{3} + 841 T^{4} \))(\( 1 - 11 T + 77 T^{2} - 319 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 59 T^{2} + 203 T^{3} + 841 T^{4} \))(\( 1 - 4 T - 6 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 5 T + 57 T^{2} + 145 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 47 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 89 T^{2} + 348 T^{3} + 841 T^{4} \))(\( 1 - 10 T + 87 T^{2} - 432 T^{3} + 2523 T^{4} - 8410 T^{5} + 24389 T^{6} \))(\( 1 + 5 T + 60 T^{2} + 252 T^{3} + 1740 T^{4} + 4205 T^{5} + 24389 T^{6} \))(\( 1 - 18 T + 186 T^{2} - 1215 T^{3} + 5394 T^{4} - 15138 T^{5} + 24389 T^{6} \))(\( 1 + 18 T + 186 T^{2} + 1215 T^{3} + 5394 T^{4} + 15138 T^{5} + 24389 T^{6} \))(\( 1 + 10 T + 87 T^{2} + 432 T^{3} + 2523 T^{4} + 8410 T^{5} + 24389 T^{6} \))(\( 1 + 12 T + 150 T^{2} + 1032 T^{3} + 6999 T^{4} + 29928 T^{5} + 126150 T^{6} + 292668 T^{7} + 707281 T^{8} \))(\( 1 - 4 T + 36 T^{2} + 48 T^{3} + 454 T^{4} + 1392 T^{5} + 30276 T^{6} - 97556 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 36 T^{2} - 48 T^{3} + 454 T^{4} - 1392 T^{5} + 30276 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 - 12 T + 150 T^{2} - 1032 T^{3} + 6999 T^{4} - 29928 T^{5} + 126150 T^{6} - 292668 T^{7} + 707281 T^{8} \))(\( 1 + 7 T + 107 T^{2} + 597 T^{3} + 6294 T^{4} + 28379 T^{5} + 221231 T^{6} + 822991 T^{7} + 5293254 T^{8} + 14560233 T^{9} + 75679067 T^{10} + 143578043 T^{11} + 594823321 T^{12} \))(\( 1 - 5 T + 155 T^{2} - 611 T^{3} + 10370 T^{4} - 32345 T^{5} + 389547 T^{6} - 938005 T^{7} + 8721170 T^{8} - 14901679 T^{9} + 109628555 T^{10} - 102555745 T^{11} + 594823321 T^{12} \))(\( 1 - 6 T + 147 T^{2} - 605 T^{3} + 8925 T^{4} - 27249 T^{5} + 319470 T^{6} - 790221 T^{7} + 7505925 T^{8} - 14755345 T^{9} + 103970307 T^{10} - 123066894 T^{11} + 594823321 T^{12} \))(\( 1 + 6 T + 147 T^{2} + 605 T^{3} + 8925 T^{4} + 27249 T^{5} + 319470 T^{6} + 790221 T^{7} + 7505925 T^{8} + 14755345 T^{9} + 103970307 T^{10} + 123066894 T^{11} + 594823321 T^{12} \))(\( 1 + 5 T + 155 T^{2} + 611 T^{3} + 10370 T^{4} + 32345 T^{5} + 389547 T^{6} + 938005 T^{7} + 8721170 T^{8} + 14901679 T^{9} + 109628555 T^{10} + 102555745 T^{11} + 594823321 T^{12} \))(\( 1 - 7 T + 107 T^{2} - 597 T^{3} + 6294 T^{4} - 28379 T^{5} + 221231 T^{6} - 822991 T^{7} + 5293254 T^{8} - 14560233 T^{9} + 75679067 T^{10} - 143578043 T^{11} + 594823321 T^{12} \))(\( 1 + 16 T + 244 T^{2} + 2496 T^{3} + 23606 T^{4} + 181728 T^{5} + 1303976 T^{6} + 8034448 T^{7} + 46404967 T^{8} + 232998992 T^{9} + 1096643816 T^{10} + 4432164192 T^{11} + 16696075286 T^{12} + 51195827904 T^{13} + 145136890324 T^{14} + 275998020944 T^{15} + 500246412961 T^{16} \))(\( 1 - 8 T + 180 T^{2} - 1200 T^{3} + 15190 T^{4} - 85544 T^{5} + 790792 T^{6} - 3751320 T^{7} + 27679655 T^{8} - 108788280 T^{9} + 665056072 T^{10} - 2086332616 T^{11} + 10743598390 T^{12} - 24613378800 T^{13} + 107068197780 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 + 8 T + 180 T^{2} + 1200 T^{3} + 15190 T^{4} + 85544 T^{5} + 790792 T^{6} + 3751320 T^{7} + 27679655 T^{8} + 108788280 T^{9} + 665056072 T^{10} + 2086332616 T^{11} + 10743598390 T^{12} + 24613378800 T^{13} + 107068197780 T^{14} + 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 - 16 T + 244 T^{2} - 2496 T^{3} + 23606 T^{4} - 181728 T^{5} + 1303976 T^{6} - 8034448 T^{7} + 46404967 T^{8} - 232998992 T^{9} + 1096643816 T^{10} - 4432164192 T^{11} + 16696075286 T^{12} - 51195827904 T^{13} + 145136890324 T^{14} - 275998020944 T^{15} + 500246412961 T^{16} \))(\( 1 - 6 T + 108 T^{2} - 595 T^{3} + 5733 T^{4} - 25674 T^{5} + 205971 T^{6} - 733941 T^{7} + 6005151 T^{8} - 19897344 T^{9} + 174149379 T^{10} - 617244381 T^{11} + 5023426719 T^{12} - 18158732394 T^{13} + 117590417217 T^{14} - 353919875995 T^{15} + 1862986641372 T^{16} - 3001478477766 T^{17} + 14507145975869 T^{18} \))(\( 1 + 6 T + 108 T^{2} + 595 T^{3} + 5733 T^{4} + 25674 T^{5} + 205971 T^{6} + 733941 T^{7} + 6005151 T^{8} + 19897344 T^{9} + 174149379 T^{10} + 617244381 T^{11} + 5023426719 T^{12} + 18158732394 T^{13} + 117590417217 T^{14} + 353919875995 T^{15} + 1862986641372 T^{16} + 3001478477766 T^{17} + 14507145975869 T^{18} \))(\( 1 + 6 T + 189 T^{2} + 827 T^{3} + 16098 T^{4} + 51243 T^{5} + 857481 T^{6} + 1903662 T^{7} + 33458991 T^{8} + 48021516 T^{9} + 1076051490 T^{10} + 1010275254 T^{11} + 31747801084 T^{12} + 29297982366 T^{13} + 904959303090 T^{14} + 1171196753724 T^{15} + 23664908613471 T^{16} + 39046294927638 T^{17} + 510049696114401 T^{18} + 883935411702087 T^{19} + 8052966755846178 T^{20} + 11997409722043663 T^{21} + 79513667093737989 T^{22} + 73203058594234974 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 6 T + 189 T^{2} - 827 T^{3} + 16098 T^{4} - 51243 T^{5} + 857481 T^{6} - 1903662 T^{7} + 33458991 T^{8} - 48021516 T^{9} + 1076051490 T^{10} - 1010275254 T^{11} + 31747801084 T^{12} - 29297982366 T^{13} + 904959303090 T^{14} - 1171196753724 T^{15} + 23664908613471 T^{16} - 39046294927638 T^{17} + 510049696114401 T^{18} - 883935411702087 T^{19} + 8052966755846178 T^{20} - 11997409722043663 T^{21} + 79513667093737989 T^{22} - 73203058594234974 T^{23} + 353814783205469041 T^{24} \))
$31$ (\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 58 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( 1 + 17 T^{2} + 961 T^{4} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 + 5 T + 31 T^{2} )^{2} \))(\( 1 + 8 T + 58 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( 1 - 8 T + 58 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 17 T^{2} + 961 T^{4} \))(\( 1 - 2 T + 61 T^{2} - 176 T^{3} + 1891 T^{4} - 1922 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 49 T^{2} + 184 T^{3} + 1519 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 3 T + 69 T^{2} + 133 T^{3} + 2139 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 69 T^{2} - 133 T^{3} + 2139 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 61 T^{2} + 176 T^{3} + 1891 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 14 T + 150 T^{2} + 1096 T^{3} + 7139 T^{4} + 33976 T^{5} + 144150 T^{6} + 417074 T^{7} + 923521 T^{8} \))(\( 1 + 6 T + 84 T^{2} + 266 T^{3} + 2958 T^{4} + 8246 T^{5} + 80724 T^{6} + 178746 T^{7} + 923521 T^{8} \))(\( 1 - 6 T + 84 T^{2} - 266 T^{3} + 2958 T^{4} - 8246 T^{5} + 80724 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( 1 - 14 T + 150 T^{2} - 1096 T^{3} + 7139 T^{4} - 33976 T^{5} + 144150 T^{6} - 417074 T^{7} + 923521 T^{8} \))(\( 1 + 4 T + 96 T^{2} + 444 T^{3} + 5788 T^{4} + 22308 T^{5} + 219542 T^{6} + 691548 T^{7} + 5562268 T^{8} + 13227204 T^{9} + 88658016 T^{10} + 114516604 T^{11} + 887503681 T^{12} \))(\( 1 - 12 T + 94 T^{2} - 520 T^{3} + 3546 T^{4} - 28008 T^{5} + 179582 T^{6} - 868248 T^{7} + 3407706 T^{8} - 15491320 T^{9} + 86810974 T^{10} - 343549812 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T + 114 T^{2} - 242 T^{3} + 6651 T^{4} - 12411 T^{5} + 255204 T^{6} - 384741 T^{7} + 6391611 T^{8} - 7209422 T^{9} + 105281394 T^{10} - 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 3 T + 114 T^{2} + 242 T^{3} + 6651 T^{4} + 12411 T^{5} + 255204 T^{6} + 384741 T^{7} + 6391611 T^{8} + 7209422 T^{9} + 105281394 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 12 T + 94 T^{2} + 520 T^{3} + 3546 T^{4} + 28008 T^{5} + 179582 T^{6} + 868248 T^{7} + 3407706 T^{8} + 15491320 T^{9} + 86810974 T^{10} + 343549812 T^{11} + 887503681 T^{12} \))(\( 1 - 4 T + 96 T^{2} - 444 T^{3} + 5788 T^{4} - 22308 T^{5} + 219542 T^{6} - 691548 T^{7} + 5562268 T^{8} - 13227204 T^{9} + 88658016 T^{10} - 114516604 T^{11} + 887503681 T^{12} \))(\( 1 + 22 T + 406 T^{2} + 5048 T^{3} + 55126 T^{4} + 483446 T^{5} + 3804224 T^{6} + 25295434 T^{7} + 152252047 T^{8} + 784158454 T^{9} + 3655859264 T^{10} + 14402339786 T^{11} + 50910018646 T^{12} + 144519954248 T^{13} + 360326494486 T^{14} + 605277510442 T^{15} + 852891037441 T^{16} \))(\( 1 - 18 T + 326 T^{2} - 3752 T^{3} + 39786 T^{4} - 336994 T^{5} + 2593784 T^{6} - 17075006 T^{7} + 101927147 T^{8} - 529325186 T^{9} + 2492626424 T^{10} - 10039388254 T^{11} + 36743206506 T^{12} - 107416574552 T^{13} + 289326200006 T^{14} - 495227053998 T^{15} + 852891037441 T^{16} \))(\( 1 + 18 T + 326 T^{2} + 3752 T^{3} + 39786 T^{4} + 336994 T^{5} + 2593784 T^{6} + 17075006 T^{7} + 101927147 T^{8} + 529325186 T^{9} + 2492626424 T^{10} + 10039388254 T^{11} + 36743206506 T^{12} + 107416574552 T^{13} + 289326200006 T^{14} + 495227053998 T^{15} + 852891037441 T^{16} \))(\( 1 - 22 T + 406 T^{2} - 5048 T^{3} + 55126 T^{4} - 483446 T^{5} + 3804224 T^{6} - 25295434 T^{7} + 152252047 T^{8} - 784158454 T^{9} + 3655859264 T^{10} - 14402339786 T^{11} + 50910018646 T^{12} - 144519954248 T^{13} + 360326494486 T^{14} - 605277510442 T^{15} + 852891037441 T^{16} \))(\( 1 + 9 T + 213 T^{2} + 1447 T^{3} + 20178 T^{4} + 112098 T^{5} + 1189378 T^{6} + 5604489 T^{7} + 49477092 T^{8} + 201378634 T^{9} + 1533789852 T^{10} + 5385913929 T^{11} + 35432759998 T^{12} + 103524857058 T^{13} + 577679008878 T^{14} + 1284217826407 T^{15} + 5860186805643 T^{16} + 7676019336969 T^{17} + 26439622160671 T^{18} \))(\( 1 - 9 T + 213 T^{2} - 1447 T^{3} + 20178 T^{4} - 112098 T^{5} + 1189378 T^{6} - 5604489 T^{7} + 49477092 T^{8} - 201378634 T^{9} + 1533789852 T^{10} - 5385913929 T^{11} + 35432759998 T^{12} - 103524857058 T^{13} + 577679008878 T^{14} - 1284217826407 T^{15} + 5860186805643 T^{16} - 7676019336969 T^{17} + 26439622160671 T^{18} \))(\( 1 + 3 T + 114 T^{2} + 414 T^{3} + 7218 T^{4} + 21942 T^{5} + 354666 T^{6} + 820053 T^{7} + 13897071 T^{8} + 26981978 T^{9} + 474529956 T^{10} + 711522048 T^{11} + 15229888956 T^{12} + 22057183488 T^{13} + 456023287716 T^{14} + 803820106598 T^{15} + 12834236906991 T^{16} + 23477421165003 T^{17} + 314767380525546 T^{18} + 603681778823562 T^{19} + 6156167508249138 T^{20} + 10946003574517794 T^{21} + 93437624715811314 T^{22} + 76225430689214493 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 3 T + 114 T^{2} - 414 T^{3} + 7218 T^{4} - 21942 T^{5} + 354666 T^{6} - 820053 T^{7} + 13897071 T^{8} - 26981978 T^{9} + 474529956 T^{10} - 711522048 T^{11} + 15229888956 T^{12} - 22057183488 T^{13} + 456023287716 T^{14} - 803820106598 T^{15} + 12834236906991 T^{16} - 23477421165003 T^{17} + 314767380525546 T^{18} - 603681778823562 T^{19} + 6156167508249138 T^{20} - 10946003574517794 T^{21} + 93437624715811314 T^{22} - 76225430689214493 T^{23} + 787662783788549761 T^{24} \))
$37$ (\( 1 - 4 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 7 T + 55 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 + T + 45 T^{2} + 37 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 3 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 9 T + 83 T^{2} - 333 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 66 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( ( 1 + 5 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( 1 + 3 T + 65 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 9 T + 83 T^{2} + 333 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 66 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 3 T + 69 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 55 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 3 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 119 T^{2} - 576 T^{3} + 4403 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 + 7 T + 92 T^{2} + 432 T^{3} + 3404 T^{4} + 9583 T^{5} + 50653 T^{6} \))(\( 1 + 9 T + 81 T^{2} + 359 T^{3} + 2997 T^{4} + 12321 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 81 T^{2} - 359 T^{3} + 2997 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 119 T^{2} + 576 T^{3} + 4403 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 + 24 T + 314 T^{2} + 2768 T^{3} + 18939 T^{4} + 102416 T^{5} + 429866 T^{6} + 1215672 T^{7} + 1874161 T^{8} \))(\( 1 - 10 T + 116 T^{2} - 870 T^{3} + 6134 T^{4} - 32190 T^{5} + 158804 T^{6} - 506530 T^{7} + 1874161 T^{8} \))(\( 1 + 10 T + 116 T^{2} + 870 T^{3} + 6134 T^{4} + 32190 T^{5} + 158804 T^{6} + 506530 T^{7} + 1874161 T^{8} \))(\( 1 - 24 T + 314 T^{2} - 2768 T^{3} + 18939 T^{4} - 102416 T^{5} + 429866 T^{6} - 1215672 T^{7} + 1874161 T^{8} \))(\( 1 + 3 T + 171 T^{2} + 453 T^{3} + 13142 T^{4} + 29767 T^{5} + 605575 T^{6} + 1101379 T^{7} + 17991398 T^{8} + 22945809 T^{9} + 320481531 T^{10} + 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - T + 143 T^{2} - 63 T^{3} + 9970 T^{4} - 2725 T^{5} + 447823 T^{6} - 100825 T^{7} + 13648930 T^{8} - 3191139 T^{9} + 268005023 T^{10} - 69343957 T^{11} + 2565726409 T^{12} \))(\( 1 + 3 T + 120 T^{2} + 522 T^{3} + 7149 T^{4} + 38031 T^{5} + 301476 T^{6} + 1407147 T^{7} + 9786981 T^{8} + 26440866 T^{9} + 224899320 T^{10} + 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T + 120 T^{2} - 522 T^{3} + 7149 T^{4} - 38031 T^{5} + 301476 T^{6} - 1407147 T^{7} + 9786981 T^{8} - 26440866 T^{9} + 224899320 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 + T + 143 T^{2} + 63 T^{3} + 9970 T^{4} + 2725 T^{5} + 447823 T^{6} + 100825 T^{7} + 13648930 T^{8} + 3191139 T^{9} + 268005023 T^{10} + 69343957 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T + 171 T^{2} - 453 T^{3} + 13142 T^{4} - 29767 T^{5} + 605575 T^{6} - 1101379 T^{7} + 17991398 T^{8} - 22945809 T^{9} + 320481531 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 12 T + 184 T^{2} - 1312 T^{3} + 13198 T^{4} - 77532 T^{5} + 713656 T^{6} - 3913756 T^{7} + 31155703 T^{8} - 144808972 T^{9} + 976995064 T^{10} - 3927228396 T^{11} + 24735176878 T^{12} - 90979271584 T^{13} + 472093659256 T^{14} - 1139182525596 T^{15} + 3512479453921 T^{16} \))(\( 1 - 36 T + 728 T^{2} - 10272 T^{3} + 112766 T^{4} - 1016596 T^{5} + 7881880 T^{6} - 54398996 T^{7} + 344111879 T^{8} - 2012762852 T^{9} + 10790293720 T^{10} - 51493637188 T^{11} + 211341639326 T^{12} - 712301126304 T^{13} + 1867848825752 T^{14} - 3417547576788 T^{15} + 3512479453921 T^{16} \))(\( 1 + 36 T + 728 T^{2} + 10272 T^{3} + 112766 T^{4} + 1016596 T^{5} + 7881880 T^{6} + 54398996 T^{7} + 344111879 T^{8} + 2012762852 T^{9} + 10790293720 T^{10} + 51493637188 T^{11} + 211341639326 T^{12} + 712301126304 T^{13} + 1867848825752 T^{14} + 3417547576788 T^{15} + 3512479453921 T^{16} \))(\( 1 + 12 T + 184 T^{2} + 1312 T^{3} + 13198 T^{4} + 77532 T^{5} + 713656 T^{6} + 3913756 T^{7} + 31155703 T^{8} + 144808972 T^{9} + 976995064 T^{10} + 3927228396 T^{11} + 24735176878 T^{12} + 90979271584 T^{13} + 472093659256 T^{14} + 1139182525596 T^{15} + 3512479453921 T^{16} \))(\( 1 + 9 T + 147 T^{2} + 541 T^{3} + 6690 T^{4} + 4158 T^{5} + 290606 T^{6} + 480459 T^{7} + 18116592 T^{8} + 43162866 T^{9} + 670313904 T^{10} + 657748371 T^{11} + 14720065718 T^{12} + 7792761438 T^{13} + 463911072330 T^{14} + 1388057987269 T^{15} + 13954985938551 T^{16} + 31612315085289 T^{17} + 129961739795077 T^{18} \))(\( 1 - 9 T + 147 T^{2} - 541 T^{3} + 6690 T^{4} - 4158 T^{5} + 290606 T^{6} - 480459 T^{7} + 18116592 T^{8} - 43162866 T^{9} + 670313904 T^{10} - 657748371 T^{11} + 14720065718 T^{12} - 7792761438 T^{13} + 463911072330 T^{14} - 1388057987269 T^{15} + 13954985938551 T^{16} - 31612315085289 T^{17} + 129961739795077 T^{18} \))(\( 1 + 27 T + 546 T^{2} + 7940 T^{3} + 98736 T^{4} + 1045236 T^{5} + 9962042 T^{6} + 85765971 T^{7} + 683241063 T^{8} + 5063504190 T^{9} + 35282691924 T^{10} + 232316730960 T^{11} + 1449910534256 T^{12} + 8595719045520 T^{13} + 48302005243956 T^{14} + 256481677736070 T^{15} + 1280503753873143 T^{16} + 5947351805087247 T^{17} + 25559874246967178 T^{18} + 99226215526988388 T^{19} + 346808171362343856 T^{20} + 1031896213972911380 T^{21} + 2625487067340145554 T^{22} + 4803775788045431151 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 27 T + 546 T^{2} - 7940 T^{3} + 98736 T^{4} - 1045236 T^{5} + 9962042 T^{6} - 85765971 T^{7} + 683241063 T^{8} - 5063504190 T^{9} + 35282691924 T^{10} - 232316730960 T^{11} + 1449910534256 T^{12} - 8595719045520 T^{13} + 48302005243956 T^{14} - 256481677736070 T^{15} + 1280503753873143 T^{16} - 5947351805087247 T^{17} + 25559874246967178 T^{18} - 99226215526988388 T^{19} + 346808171362343856 T^{20} - 1031896213972911380 T^{21} + 2625487067340145554 T^{22} - 4803775788045431151 T^{23} + 6582952005840035281 T^{24} \))
$41$ (\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 11 T + 101 T^{2} - 451 T^{3} + 1681 T^{4} \))(\( 1 + T + 79 T^{2} + 41 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 71 T^{2} + 369 T^{3} + 1681 T^{4} \))(\( 1 - T - 19 T^{2} - 41 T^{3} + 1681 T^{4} \))(\( 1 + 3 T + 46 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 3 T + 53 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 + 3 T + 53 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 5 T + 27 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 + T - 19 T^{2} + 41 T^{3} + 1681 T^{4} \))(\( 1 - 3 T + 46 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 - 3 T + 19 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 + 11 T + 101 T^{2} + 451 T^{3} + 1681 T^{4} \))(\( 1 - 9 T + 71 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 119 T^{2} - 308 T^{3} + 4879 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 - 7 T + 134 T^{2} - 572 T^{3} + 5494 T^{4} - 11767 T^{5} + 68921 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 505 T^{3} + 2337 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 57 T^{2} - 505 T^{3} + 2337 T^{4} - 15129 T^{5} + 68921 T^{6} \))(\( 1 + 4 T + 119 T^{2} + 308 T^{3} + 4879 T^{4} + 6724 T^{5} + 68921 T^{6} \))(\( 1 + 69 T^{2} + 310 T^{3} + 2501 T^{4} + 12710 T^{5} + 115989 T^{6} + 2825761 T^{8} \))(\( 1 + 17 T + 262 T^{2} + 2307 T^{3} + 18254 T^{4} + 94587 T^{5} + 440422 T^{6} + 1171657 T^{7} + 2825761 T^{8} \))(\( 1 - 17 T + 262 T^{2} - 2307 T^{3} + 18254 T^{4} - 94587 T^{5} + 440422 T^{6} - 1171657 T^{7} + 2825761 T^{8} \))(\( 1 + 69 T^{2} - 310 T^{3} + 2501 T^{4} - 12710 T^{5} + 115989 T^{6} + 2825761 T^{8} \))(\( 1 + 11 T + 188 T^{2} + 1472 T^{3} + 16213 T^{4} + 99408 T^{5} + 823803 T^{6} + 4075728 T^{7} + 27254053 T^{8} + 101451712 T^{9} + 531243068 T^{10} + 1274418211 T^{11} + 4750104241 T^{12} \))(\( 1 - 19 T + 282 T^{2} - 3070 T^{3} + 28977 T^{4} - 226436 T^{5} + 1583081 T^{6} - 9283876 T^{7} + 48710337 T^{8} - 211587470 T^{9} + 796864602 T^{10} - 2201267819 T^{11} + 4750104241 T^{12} \))(\( 1 - 9 T + 237 T^{2} - 1692 T^{3} + 23622 T^{4} - 132768 T^{5} + 1278061 T^{6} - 5443488 T^{7} + 39708582 T^{8} - 116614332 T^{9} + 669705357 T^{10} - 1042705809 T^{11} + 4750104241 T^{12} \))(\( 1 + 9 T + 237 T^{2} + 1692 T^{3} + 23622 T^{4} + 132768 T^{5} + 1278061 T^{6} + 5443488 T^{7} + 39708582 T^{8} + 116614332 T^{9} + 669705357 T^{10} + 1042705809 T^{11} + 4750104241 T^{12} \))(\( 1 + 19 T + 282 T^{2} + 3070 T^{3} + 28977 T^{4} + 226436 T^{5} + 1583081 T^{6} + 9283876 T^{7} + 48710337 T^{8} + 211587470 T^{9} + 796864602 T^{10} + 2201267819 T^{11} + 4750104241 T^{12} \))(\( 1 - 11 T + 188 T^{2} - 1472 T^{3} + 16213 T^{4} - 99408 T^{5} + 823803 T^{6} - 4075728 T^{7} + 27254053 T^{8} - 101451712 T^{9} + 531243068 T^{10} - 1274418211 T^{11} + 4750104241 T^{12} \))(\( 1 + 36 T + 780 T^{2} + 12110 T^{3} + 150395 T^{4} + 1554328 T^{5} + 13818578 T^{6} + 106988980 T^{7} + 729875985 T^{8} + 4386548180 T^{9} + 23229029618 T^{10} + 107125840088 T^{11} + 424980325595 T^{12} + 1403018594110 T^{13} + 3705081307980 T^{14} + 7011153859716 T^{15} + 7984925229121 T^{16} \))(\( 1 - 4 T + 180 T^{2} - 1070 T^{3} + 16515 T^{4} - 107552 T^{5} + 1095378 T^{6} - 6183220 T^{7} + 53448045 T^{8} - 253512020 T^{9} + 1841330418 T^{10} - 7412591392 T^{11} + 46667442915 T^{12} - 123966135070 T^{13} + 855018763380 T^{14} - 779017095524 T^{15} + 7984925229121 T^{16} \))(\( 1 + 4 T + 180 T^{2} + 1070 T^{3} + 16515 T^{4} + 107552 T^{5} + 1095378 T^{6} + 6183220 T^{7} + 53448045 T^{8} + 253512020 T^{9} + 1841330418 T^{10} + 7412591392 T^{11} + 46667442915 T^{12} + 123966135070 T^{13} + 855018763380 T^{14} + 779017095524 T^{15} + 7984925229121 T^{16} \))(\( 1 - 36 T + 780 T^{2} - 12110 T^{3} + 150395 T^{4} - 1554328 T^{5} + 13818578 T^{6} - 106988980 T^{7} + 729875985 T^{8} - 4386548180 T^{9} + 23229029618 T^{10} - 107125840088 T^{11} + 424980325595 T^{12} - 1403018594110 T^{13} + 3705081307980 T^{14} - 7011153859716 T^{15} + 7984925229121 T^{16} \))(\( 1 + 3 T + 75 T^{2} + 431 T^{3} + 4614 T^{4} + 16722 T^{5} + 205442 T^{6} + 495009 T^{7} + 7499124 T^{8} + 14108566 T^{9} + 307464084 T^{10} + 832110129 T^{11} + 14159268082 T^{12} + 47252375442 T^{13} + 534560511414 T^{14} + 2047294927871 T^{15} + 14606570541075 T^{16} + 23954775687363 T^{17} + 327381934393961 T^{18} \))(\( 1 - 3 T + 75 T^{2} - 431 T^{3} + 4614 T^{4} - 16722 T^{5} + 205442 T^{6} - 495009 T^{7} + 7499124 T^{8} - 14108566 T^{9} + 307464084 T^{10} - 832110129 T^{11} + 14159268082 T^{12} - 47252375442 T^{13} + 534560511414 T^{14} - 2047294927871 T^{15} + 14606570541075 T^{16} - 23954775687363 T^{17} + 327381934393961 T^{18} \))(\( 1 - 27 T + 579 T^{2} - 8410 T^{3} + 108501 T^{4} - 1143327 T^{5} + 11198032 T^{6} - 95307882 T^{7} + 774146637 T^{8} - 5653258767 T^{9} + 40493107917 T^{10} - 267800042523 T^{11} + 1774771527482 T^{12} - 10979801743443 T^{13} + 68068914408477 T^{14} - 389628247480407 T^{15} + 2187553375115757 T^{16} - 11042009133876282 T^{17} + 53191819294053712 T^{18} - 222667819693542087 T^{19} + 866372372284857621 T^{20} - 2753282068253212010 T^{21} + 7771719740578240179 T^{22} - 14858883856338707907 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 27 T + 579 T^{2} + 8410 T^{3} + 108501 T^{4} + 1143327 T^{5} + 11198032 T^{6} + 95307882 T^{7} + 774146637 T^{8} + 5653258767 T^{9} + 40493107917 T^{10} + 267800042523 T^{11} + 1774771527482 T^{12} + 10979801743443 T^{13} + 68068914408477 T^{14} + 389628247480407 T^{15} + 2187553375115757 T^{16} + 11042009133876282 T^{17} + 53191819294053712 T^{18} + 222667819693542087 T^{19} + 866372372284857621 T^{20} + 2753282068253212010 T^{21} + 7771719740578240179 T^{22} + 14858883856338707907 T^{23} + 22563490300366186081 T^{24} \))
$43$ (\( 1 + 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 5 T + 91 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 + 9 T + 103 T^{2} + 387 T^{3} + 1849 T^{4} \))(\( 1 + 7 T + 87 T^{2} + 301 T^{3} + 1849 T^{4} \))(\( 1 - T + 75 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 78 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 + 3 T - 13 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 + 3 T - 13 T^{2} + 129 T^{3} + 1849 T^{4} \))(\( 1 + 13 T + 127 T^{2} + 559 T^{3} + 1849 T^{4} \))(\( 1 - T + 75 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 78 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 - 15 T + 135 T^{2} - 645 T^{3} + 1849 T^{4} \))(\( 1 - 5 T + 91 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 + 7 T + 87 T^{2} + 301 T^{3} + 1849 T^{4} \))(\( 1 + 16 T + 181 T^{2} + 1276 T^{3} + 7783 T^{4} + 29584 T^{5} + 79507 T^{6} \))(\( 1 + T + 94 T^{2} + 58 T^{3} + 4042 T^{4} + 1849 T^{5} + 79507 T^{6} \))(\( 1 + 15 T + 168 T^{2} + 1163 T^{3} + 7224 T^{4} + 27735 T^{5} + 79507 T^{6} \))(\( 1 + 15 T + 168 T^{2} + 1163 T^{3} + 7224 T^{4} + 27735 T^{5} + 79507 T^{6} \))(\( 1 + 16 T + 181 T^{2} + 1276 T^{3} + 7783 T^{4} + 29584 T^{5} + 79507 T^{6} \))(\( 1 - 14 T + 203 T^{2} - 1740 T^{3} + 13581 T^{4} - 74820 T^{5} + 375347 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 - 18 T + 240 T^{2} - 2350 T^{3} + 16926 T^{4} - 101050 T^{5} + 443760 T^{6} - 1431126 T^{7} + 3418801 T^{8} \))(\( 1 - 18 T + 240 T^{2} - 2350 T^{3} + 16926 T^{4} - 101050 T^{5} + 443760 T^{6} - 1431126 T^{7} + 3418801 T^{8} \))(\( 1 - 14 T + 203 T^{2} - 1740 T^{3} + 13581 T^{4} - 74820 T^{5} + 375347 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 + 10 T + 185 T^{2} + 1324 T^{3} + 15020 T^{4} + 86250 T^{5} + 768828 T^{6} + 3708750 T^{7} + 27771980 T^{8} + 105267268 T^{9} + 632478185 T^{10} + 1470084430 T^{11} + 6321363049 T^{12} \))(\( 1 + 2 T + 229 T^{2} + 384 T^{3} + 22996 T^{4} + 31286 T^{5} + 1289172 T^{6} + 1345298 T^{7} + 42519604 T^{8} + 30530688 T^{9} + 782905429 T^{10} + 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 + 6 T + 129 T^{2} + 558 T^{3} + 9786 T^{4} + 33942 T^{5} + 479649 T^{6} + 1459506 T^{7} + 18094314 T^{8} + 44364906 T^{9} + 441025329 T^{10} + 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 + 6 T + 129 T^{2} + 558 T^{3} + 9786 T^{4} + 33942 T^{5} + 479649 T^{6} + 1459506 T^{7} + 18094314 T^{8} + 44364906 T^{9} + 441025329 T^{10} + 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 + 2 T + 229 T^{2} + 384 T^{3} + 22996 T^{4} + 31286 T^{5} + 1289172 T^{6} + 1345298 T^{7} + 42519604 T^{8} + 30530688 T^{9} + 782905429 T^{10} + 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 + 10 T + 185 T^{2} + 1324 T^{3} + 15020 T^{4} + 86250 T^{5} + 768828 T^{6} + 3708750 T^{7} + 27771980 T^{8} + 105267268 T^{9} + 632478185 T^{10} + 1470084430 T^{11} + 6321363049 T^{12} \))(\( 1 + 154 T^{2} - 80 T^{3} + 9967 T^{4} - 14640 T^{5} + 367172 T^{6} - 1185040 T^{7} + 12372685 T^{8} - 50956720 T^{9} + 678901028 T^{10} - 1163982480 T^{11} + 34075189567 T^{12} - 11760675440 T^{13} + 973489909546 T^{14} + 11688200277601 T^{16} \))(\( 1 + 16 T + 186 T^{2} + 1944 T^{3} + 19463 T^{4} + 163136 T^{5} + 1289884 T^{6} + 9383952 T^{7} + 64639653 T^{8} + 403509936 T^{9} + 2384995516 T^{10} + 12970453952 T^{11} + 66540123863 T^{12} + 285784413192 T^{13} + 1175773527114 T^{14} + 4349097777712 T^{15} + 11688200277601 T^{16} \))(\( 1 + 16 T + 186 T^{2} + 1944 T^{3} + 19463 T^{4} + 163136 T^{5} + 1289884 T^{6} + 9383952 T^{7} + 64639653 T^{8} + 403509936 T^{9} + 2384995516 T^{10} + 12970453952 T^{11} + 66540123863 T^{12} + 285784413192 T^{13} + 1175773527114 T^{14} + 4349097777712 T^{15} + 11688200277601 T^{16} \))(\( 1 + 154 T^{2} - 80 T^{3} + 9967 T^{4} - 14640 T^{5} + 367172 T^{6} - 1185040 T^{7} + 12372685 T^{8} - 50956720 T^{9} + 678901028 T^{10} - 1163982480 T^{11} + 34075189567 T^{12} - 11760675440 T^{13} + 973489909546 T^{14} + 11688200277601 T^{16} \))(\( 1 - 21 T + 330 T^{2} - 3599 T^{3} + 35367 T^{4} - 298950 T^{5} + 2469535 T^{6} - 18420681 T^{7} + 134306733 T^{8} - 890068298 T^{9} + 5775189519 T^{10} - 34059839169 T^{11} + 196345319245 T^{12} - 1022050558950 T^{13} + 5199247603581 T^{14} - 22750585613351 T^{15} + 89700141665310 T^{16} - 245452205829621 T^{17} + 502592611936843 T^{18} \))(\( 1 - 21 T + 330 T^{2} - 3599 T^{3} + 35367 T^{4} - 298950 T^{5} + 2469535 T^{6} - 18420681 T^{7} + 134306733 T^{8} - 890068298 T^{9} + 5775189519 T^{10} - 34059839169 T^{11} + 196345319245 T^{12} - 1022050558950 T^{13} + 5199247603581 T^{14} - 22750585613351 T^{15} + 89700141665310 T^{16} - 245452205829621 T^{17} + 502592611936843 T^{18} \))(\( 1 - 30 T + 711 T^{2} - 11838 T^{3} + 170055 T^{4} - 2044968 T^{5} + 22205544 T^{6} - 214645548 T^{7} + 1924674393 T^{8} - 15819491278 T^{9} + 122349452193 T^{10} - 878661744858 T^{11} + 5969212235742 T^{12} - 37782455028894 T^{13} + 226224137104857 T^{14} - 1257760293039946 T^{15} + 6580078739462793 T^{16} - 31554707808361764 T^{17} + 140369305324543656 T^{18} - 555860361518259576 T^{19} + 1987636898207438055 T^{20} - 5949691340108347434 T^{21} + 15365763924745101039 T^{22} - 27878812184136681210 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 30 T + 711 T^{2} - 11838 T^{3} + 170055 T^{4} - 2044968 T^{5} + 22205544 T^{6} - 214645548 T^{7} + 1924674393 T^{8} - 15819491278 T^{9} + 122349452193 T^{10} - 878661744858 T^{11} + 5969212235742 T^{12} - 37782455028894 T^{13} + 226224137104857 T^{14} - 1257760293039946 T^{15} + 6580078739462793 T^{16} - 31554707808361764 T^{17} + 140369305324543656 T^{18} - 555860361518259576 T^{19} + 1987636898207438055 T^{20} - 5949691340108347434 T^{21} + 15365763924745101039 T^{22} - 27878812184136681210 T^{23} + 39959630797262576401 T^{24} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 19 T + 183 T^{2} - 893 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 67 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 15 T + 139 T^{2} + 705 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 86 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 105 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 105 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + T + 83 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( 1 + 15 T + 139 T^{2} + 705 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 86 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 15 T + 143 T^{2} + 705 T^{3} + 2209 T^{4} \))(\( 1 - 19 T + 183 T^{2} - 893 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 45 T^{2} - 72 T^{3} + 2115 T^{4} + 4418 T^{5} + 103823 T^{6} \))(\( 1 + 11 T + 174 T^{2} + 1050 T^{3} + 8178 T^{4} + 24299 T^{5} + 103823 T^{6} \))(\( 1 - 9 T + 159 T^{2} - 837 T^{3} + 7473 T^{4} - 19881 T^{5} + 103823 T^{6} \))(\( 1 - 9 T + 159 T^{2} - 837 T^{3} + 7473 T^{4} - 19881 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 45 T^{2} - 72 T^{3} + 2115 T^{4} + 4418 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 62 T^{2} - 320 T^{3} + 691 T^{4} - 15040 T^{5} + 136958 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T + 108 T^{2} + 168 T^{3} + 5782 T^{4} + 7896 T^{5} + 238572 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T + 108 T^{2} + 168 T^{3} + 5782 T^{4} + 7896 T^{5} + 238572 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 2 T + 62 T^{2} - 320 T^{3} + 691 T^{4} - 15040 T^{5} + 136958 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 192 T^{2} - 852 T^{3} + 6572 T^{4} + 24772 T^{5} - 11786 T^{6} + 1164284 T^{7} + 14517548 T^{8} - 88457196 T^{9} + 936898752 T^{10} - 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 + 12 T + 174 T^{2} + 1208 T^{3} + 9882 T^{4} + 47904 T^{5} + 376478 T^{6} + 2251488 T^{7} + 21829338 T^{8} + 125418184 T^{9} + 849064494 T^{10} + 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 - 9 T + 162 T^{2} - 756 T^{3} + 6651 T^{4} - 4491 T^{5} + 118988 T^{6} - 211077 T^{7} + 14692059 T^{8} - 78490188 T^{9} + 790508322 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 - 9 T + 162 T^{2} - 756 T^{3} + 6651 T^{4} - 4491 T^{5} + 118988 T^{6} - 211077 T^{7} + 14692059 T^{8} - 78490188 T^{9} + 790508322 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 + 12 T + 174 T^{2} + 1208 T^{3} + 9882 T^{4} + 47904 T^{5} + 376478 T^{6} + 2251488 T^{7} + 21829338 T^{8} + 125418184 T^{9} + 849064494 T^{10} + 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 - 12 T + 192 T^{2} - 852 T^{3} + 6572 T^{4} + 24772 T^{5} - 11786 T^{6} + 1164284 T^{7} + 14517548 T^{8} - 88457196 T^{9} + 936898752 T^{10} - 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 - 6 T + 298 T^{2} - 1972 T^{3} + 41206 T^{4} - 274146 T^{5} + 3486920 T^{6} - 21233246 T^{7} + 197841639 T^{8} - 997962562 T^{9} + 7702606280 T^{10} - 28462660158 T^{11} + 201072135286 T^{12} - 452268353804 T^{13} + 3212206168042 T^{14} - 3039738722778 T^{15} + 23811286661761 T^{16} \))(\( 1 + 10 T + 106 T^{2} + 900 T^{3} + 8922 T^{4} + 54670 T^{5} + 410288 T^{6} + 2540490 T^{7} + 19998195 T^{8} + 119403030 T^{9} + 906326192 T^{10} + 5676003410 T^{11} + 43536513882 T^{12} + 206410506300 T^{13} + 1142596824874 T^{14} + 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 + 10 T + 106 T^{2} + 900 T^{3} + 8922 T^{4} + 54670 T^{5} + 410288 T^{6} + 2540490 T^{7} + 19998195 T^{8} + 119403030 T^{9} + 906326192 T^{10} + 5676003410 T^{11} + 43536513882 T^{12} + 206410506300 T^{13} + 1142596824874 T^{14} + 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 - 6 T + 298 T^{2} - 1972 T^{3} + 41206 T^{4} - 274146 T^{5} + 3486920 T^{6} - 21233246 T^{7} + 197841639 T^{8} - 997962562 T^{9} + 7702606280 T^{10} - 28462660158 T^{11} + 201072135286 T^{12} - 452268353804 T^{13} + 3212206168042 T^{14} - 3039738722778 T^{15} + 23811286661761 T^{16} \))(\( 1 - 21 T + 411 T^{2} - 5455 T^{3} + 66840 T^{4} - 690030 T^{5} + 6544032 T^{6} - 55737489 T^{7} + 434504946 T^{8} - 3113331258 T^{9} + 20421732462 T^{10} - 123124113201 T^{11} + 679421034336 T^{12} - 3367126280430 T^{13} + 15329420267880 T^{14} - 58800619619695 T^{15} + 208222102510293 T^{16} - 500037019896981 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 21 T + 411 T^{2} - 5455 T^{3} + 66840 T^{4} - 690030 T^{5} + 6544032 T^{6} - 55737489 T^{7} + 434504946 T^{8} - 3113331258 T^{9} + 20421732462 T^{10} - 123124113201 T^{11} + 679421034336 T^{12} - 3367126280430 T^{13} + 15329420267880 T^{14} - 58800619619695 T^{15} + 208222102510293 T^{16} - 500037019896981 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 21 T + 534 T^{2} - 7574 T^{3} + 113202 T^{4} - 1223862 T^{5} + 13566054 T^{6} - 118987971 T^{7} + 1076572191 T^{8} - 8057972790 T^{9} + 63875580996 T^{10} - 431805629208 T^{11} + 3183555006940 T^{12} - 20294864572776 T^{13} + 141101158420164 T^{14} - 836602908976170 T^{15} + 5253328865551071 T^{16} - 27289297041910797 T^{17} + 146231417230841766 T^{18} - 620036785456088106 T^{19} + 2695485272684668722 T^{20} - 8476294203280357258 T^{21} + 28087936613933246166 T^{22} - 51915343516764258363 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 21 T + 534 T^{2} - 7574 T^{3} + 113202 T^{4} - 1223862 T^{5} + 13566054 T^{6} - 118987971 T^{7} + 1076572191 T^{8} - 8057972790 T^{9} + 63875580996 T^{10} - 431805629208 T^{11} + 3183555006940 T^{12} - 20294864572776 T^{13} + 141101158420164 T^{14} - 836602908976170 T^{15} + 5253328865551071 T^{16} - 27289297041910797 T^{17} + 146231417230841766 T^{18} - 620036785456088106 T^{19} + 2695485272684668722 T^{20} - 8476294203280357258 T^{21} + 28087936613933246166 T^{22} - 51915343516764258363 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))
$53$ (\( 1 - 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 11 T + 75 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 + T + 25 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 97 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 + 17 T + 167 T^{2} + 901 T^{3} + 2809 T^{4} \))(\( 1 - 10 T + 114 T^{2} - 530 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 97 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 97 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 25 T + 261 T^{2} - 1325 T^{3} + 2809 T^{4} \))(\( 1 - 17 T + 167 T^{2} - 901 T^{3} + 2809 T^{4} \))(\( 1 + 10 T + 114 T^{2} + 530 T^{3} + 2809 T^{4} \))(\( 1 - 5 T + 105 T^{2} - 265 T^{3} + 2809 T^{4} \))(\( 1 + 11 T + 75 T^{2} + 583 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 97 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 - 6 T + 87 T^{2} - 208 T^{3} + 4611 T^{4} - 16854 T^{5} + 148877 T^{6} \))(\( 1 + 3 T + 96 T^{2} + 80 T^{3} + 5088 T^{4} + 8427 T^{5} + 148877 T^{6} \))(\( 1 - 12 T + 168 T^{2} - 1199 T^{3} + 8904 T^{4} - 33708 T^{5} + 148877 T^{6} \))(\( 1 + 12 T + 168 T^{2} + 1199 T^{3} + 8904 T^{4} + 33708 T^{5} + 148877 T^{6} \))(\( 1 + 6 T + 87 T^{2} + 208 T^{3} + 4611 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 + 122 T^{2} - 160 T^{3} + 8219 T^{4} - 8480 T^{5} + 342698 T^{6} + 7890481 T^{8} \))(\( 1 + 10 T + 196 T^{2} + 1530 T^{3} + 15230 T^{4} + 81090 T^{5} + 550564 T^{6} + 1488770 T^{7} + 7890481 T^{8} \))(\( 1 - 10 T + 196 T^{2} - 1530 T^{3} + 15230 T^{4} - 81090 T^{5} + 550564 T^{6} - 1488770 T^{7} + 7890481 T^{8} \))(\( 1 + 122 T^{2} + 160 T^{3} + 8219 T^{4} + 8480 T^{5} + 342698 T^{6} + 7890481 T^{8} \))(\( 1 - 5 T + 219 T^{2} - 1203 T^{3} + 24286 T^{4} - 113921 T^{5} + 1643839 T^{6} - 6037813 T^{7} + 68219374 T^{8} - 179099031 T^{9} + 1728015339 T^{10} - 2090977465 T^{11} + 22164361129 T^{12} \))(\( 1 + 11 T + 171 T^{2} + 781 T^{3} + 9022 T^{4} + 19167 T^{5} + 422367 T^{6} + 1015851 T^{7} + 25342798 T^{8} + 116272937 T^{9} + 1349272251 T^{10} + 4600150423 T^{11} + 22164361129 T^{12} \))(\( 1 - 6 T + 171 T^{2} - 463 T^{3} + 13755 T^{4} - 23175 T^{5} + 844938 T^{6} - 1228275 T^{7} + 38637795 T^{8} - 68930051 T^{9} + 1349272251 T^{10} - 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T + 171 T^{2} + 463 T^{3} + 13755 T^{4} + 23175 T^{5} + 844938 T^{6} + 1228275 T^{7} + 38637795 T^{8} + 68930051 T^{9} + 1349272251 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 - 11 T + 171 T^{2} - 781 T^{3} + 9022 T^{4} - 19167 T^{5} + 422367 T^{6} - 1015851 T^{7} + 25342798 T^{8} - 116272937 T^{9} + 1349272251 T^{10} - 4600150423 T^{11} + 22164361129 T^{12} \))(\( 1 + 5 T + 219 T^{2} + 1203 T^{3} + 24286 T^{4} + 113921 T^{5} + 1643839 T^{6} + 6037813 T^{7} + 68219374 T^{8} + 179099031 T^{9} + 1728015339 T^{10} + 2090977465 T^{11} + 22164361129 T^{12} \))(\( 1 + 16 T + 376 T^{2} + 4424 T^{3} + 61478 T^{4} + 580136 T^{5} + 5996984 T^{6} + 46678232 T^{7} + 386446463 T^{8} + 2473946296 T^{9} + 16845528056 T^{10} + 86368907272 T^{11} + 485090990918 T^{12} + 1850096861032 T^{13} + 8333799784504 T^{14} + 18795378237392 T^{15} + 62259690411361 T^{16} \))(\( 1 - 32 T + 672 T^{2} - 10616 T^{3} + 140046 T^{4} - 1567432 T^{5} + 15375400 T^{6} - 132999768 T^{7} + 1027275399 T^{8} - 7048987704 T^{9} + 43189498600 T^{10} - 233354573864 T^{11} + 1105030302126 T^{12} - 4439563353688 T^{13} + 14894450678688 T^{14} - 37590756474784 T^{15} + 62259690411361 T^{16} \))(\( 1 + 32 T + 672 T^{2} + 10616 T^{3} + 140046 T^{4} + 1567432 T^{5} + 15375400 T^{6} + 132999768 T^{7} + 1027275399 T^{8} + 7048987704 T^{9} + 43189498600 T^{10} + 233354573864 T^{11} + 1105030302126 T^{12} + 4439563353688 T^{13} + 14894450678688 T^{14} + 37590756474784 T^{15} + 62259690411361 T^{16} \))(\( 1 - 16 T + 376 T^{2} - 4424 T^{3} + 61478 T^{4} - 580136 T^{5} + 5996984 T^{6} - 46678232 T^{7} + 386446463 T^{8} - 2473946296 T^{9} + 16845528056 T^{10} - 86368907272 T^{11} + 485090990918 T^{12} - 1850096861032 T^{13} + 8333799784504 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} \))(\( 1 + 270 T^{2} + 249 T^{3} + 35415 T^{4} + 56826 T^{5} + 3129633 T^{6} + 5832639 T^{7} + 210651813 T^{8} + 373095500 T^{9} + 11164546089 T^{10} + 16383882951 T^{11} + 465930372141 T^{12} + 448384473306 T^{13} + 14810393384595 T^{14} + 5518925921121 T^{15} + 317172007755990 T^{16} + 3299763591802133 T^{18} \))(\( 1 + 270 T^{2} - 249 T^{3} + 35415 T^{4} - 56826 T^{5} + 3129633 T^{6} - 5832639 T^{7} + 210651813 T^{8} - 373095500 T^{9} + 11164546089 T^{10} - 16383882951 T^{11} + 465930372141 T^{12} - 448384473306 T^{13} + 14810393384595 T^{14} - 5518925921121 T^{15} + 317172007755990 T^{16} + 3299763591802133 T^{18} \))(\( 1 + 6 T + 297 T^{2} + 1393 T^{3} + 45276 T^{4} + 176877 T^{5} + 4840021 T^{6} + 16633338 T^{7} + 406617735 T^{8} + 1274060544 T^{9} + 28114748154 T^{10} + 81312731598 T^{11} + 1626833500376 T^{12} + 4309574774694 T^{13} + 78974327564586 T^{14} + 189678311609088 T^{15} + 3208409512280535 T^{16} + 6955986985145634 T^{17} + 107275973315943709 T^{18} + 207779382280949049 T^{19} + 2818869743064780636 T^{20} + 4596570683380371269 T^{21} + 51941578698557375553 T^{22} + 55614215576233149582 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T + 297 T^{2} - 1393 T^{3} + 45276 T^{4} - 176877 T^{5} + 4840021 T^{6} - 16633338 T^{7} + 406617735 T^{8} - 1274060544 T^{9} + 28114748154 T^{10} - 81312731598 T^{11} + 1626833500376 T^{12} - 4309574774694 T^{13} + 78974327564586 T^{14} - 189678311609088 T^{15} + 3208409512280535 T^{16} - 6955986985145634 T^{17} + 107275973315943709 T^{18} - 207779382280949049 T^{19} + 2818869743064780636 T^{20} - 4596570683380371269 T^{21} + 51941578698557375553 T^{22} - 55614215576233149582 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))
$59$ (\( 1 - 7 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 21 T + 227 T^{2} + 1239 T^{3} + 3481 T^{4} \))(\( 1 - 13 T + 157 T^{2} - 767 T^{3} + 3481 T^{4} \))(\( ( 1 + 11 T + 59 T^{2} )^{2} \))(\( 1 + 3 T + 19 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( ( 1 - 11 T + 59 T^{2} )^{2} \))(\( 1 - 16 T + 177 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 177 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 - 11 T + 137 T^{2} - 649 T^{3} + 3481 T^{4} \))(\( 1 - 3 T + 19 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( ( 1 + 11 T + 59 T^{2} )^{2} \))(\( 1 + 7 T + 65 T^{2} + 413 T^{3} + 3481 T^{4} \))(\( 1 - 21 T + 227 T^{2} - 1239 T^{3} + 3481 T^{4} \))(\( ( 1 - 11 T + 59 T^{2} )^{2} \))(\( 1 + 15 T + 222 T^{2} + 1743 T^{3} + 13098 T^{4} + 52215 T^{5} + 205379 T^{6} \))(\( 1 - 3 T + 132 T^{2} - 246 T^{3} + 7788 T^{4} - 10443 T^{5} + 205379 T^{6} \))(\( 1 + 3 T + 105 T^{2} + 155 T^{3} + 6195 T^{4} + 10443 T^{5} + 205379 T^{6} \))(\( 1 - 3 T + 105 T^{2} - 155 T^{3} + 6195 T^{4} - 10443 T^{5} + 205379 T^{6} \))(\( 1 - 15 T + 222 T^{2} - 1743 T^{3} + 13098 T^{4} - 52215 T^{5} + 205379 T^{6} \))(\( 1 + 2 T + 150 T^{2} + 552 T^{3} + 10859 T^{4} + 32568 T^{5} + 522150 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 20 T + 306 T^{2} + 3342 T^{3} + 28825 T^{4} + 197178 T^{5} + 1065186 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 - 20 T + 306 T^{2} - 3342 T^{3} + 28825 T^{4} - 197178 T^{5} + 1065186 T^{6} - 4107580 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 150 T^{2} - 552 T^{3} + 10859 T^{4} - 32568 T^{5} + 522150 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 4 T + 176 T^{2} + 956 T^{3} + 19308 T^{4} + 88132 T^{5} + 1404670 T^{6} + 5199788 T^{7} + 67211148 T^{8} + 196342324 T^{9} + 2132655536 T^{10} + 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 + 4 T + 198 T^{2} + 1096 T^{3} + 20466 T^{4} + 124872 T^{5} + 1409174 T^{6} + 7367448 T^{7} + 71242146 T^{8} + 225095384 T^{9} + 2399237478 T^{10} + 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 - 15 T + 309 T^{2} - 3010 T^{3} + 37170 T^{4} - 281676 T^{5} + 2687447 T^{6} - 16618884 T^{7} + 129388770 T^{8} - 618190790 T^{9} + 3744264549 T^{10} - 10723864485 T^{11} + 42180533641 T^{12} \))(\( 1 + 15 T + 309 T^{2} + 3010 T^{3} + 37170 T^{4} + 281676 T^{5} + 2687447 T^{6} + 16618884 T^{7} + 129388770 T^{8} + 618190790 T^{9} + 3744264549 T^{10} + 10723864485 T^{11} + 42180533641 T^{12} \))(\( 1 - 4 T + 198 T^{2} - 1096 T^{3} + 20466 T^{4} - 124872 T^{5} + 1409174 T^{6} - 7367448 T^{7} + 71242146 T^{8} - 225095384 T^{9} + 2399237478 T^{10} - 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 - 4 T + 176 T^{2} - 956 T^{3} + 19308 T^{4} - 88132 T^{5} + 1404670 T^{6} - 5199788 T^{7} + 67211148 T^{8} - 196342324 T^{9} + 2132655536 T^{10} - 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 + 14 T + 254 T^{2} + 2804 T^{3} + 35986 T^{4} + 334642 T^{5} + 3457656 T^{6} + 27278342 T^{7} + 233821827 T^{8} + 1609422178 T^{9} + 12036100536 T^{10} + 68728439318 T^{11} + 436055352946 T^{12} + 2004647734396 T^{13} + 10713855544814 T^{14} + 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 + 2 T + 350 T^{2} + 620 T^{3} + 57630 T^{4} + 89486 T^{5} + 5893712 T^{6} + 7900890 T^{7} + 413798455 T^{8} + 466152510 T^{9} + 20516011472 T^{10} + 18378545194 T^{11} + 698323514430 T^{12} + 443253065380 T^{13} + 14763186774350 T^{14} + 4977302969638 T^{15} + 146830437604321 T^{16} \))(\( 1 - 2 T + 350 T^{2} - 620 T^{3} + 57630 T^{4} - 89486 T^{5} + 5893712 T^{6} - 7900890 T^{7} + 413798455 T^{8} - 466152510 T^{9} + 20516011472 T^{10} - 18378545194 T^{11} + 698323514430 T^{12} - 443253065380 T^{13} + 14763186774350 T^{14} - 4977302969638 T^{15} + 146830437604321 T^{16} \))(\( 1 - 14 T + 254 T^{2} - 2804 T^{3} + 35986 T^{4} - 334642 T^{5} + 3457656 T^{6} - 27278342 T^{7} + 233821827 T^{8} - 1609422178 T^{9} + 12036100536 T^{10} - 68728439318 T^{11} + 436055352946 T^{12} - 2004647734396 T^{13} + 10713855544814 T^{14} - 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 - 9 T + 117 T^{2} - 783 T^{3} + 10971 T^{4} - 65997 T^{5} + 886470 T^{6} - 5500989 T^{7} + 65070135 T^{8} - 376313175 T^{9} + 3839137965 T^{10} - 19148942709 T^{11} + 182062322130 T^{12} - 799709473917 T^{13} + 7843434484329 T^{14} - 33027357840903 T^{15} + 291172223723823 T^{16} - 1321473938438889 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 9 T + 117 T^{2} + 783 T^{3} + 10971 T^{4} + 65997 T^{5} + 886470 T^{6} + 5500989 T^{7} + 65070135 T^{8} + 376313175 T^{9} + 3839137965 T^{10} + 19148942709 T^{11} + 182062322130 T^{12} + 799709473917 T^{13} + 7843434484329 T^{14} + 33027357840903 T^{15} + 291172223723823 T^{16} + 1321473938438889 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 27 T + 825 T^{2} - 14740 T^{3} + 265530 T^{4} - 3604512 T^{5} + 48216978 T^{6} - 532394025 T^{7} + 5781875391 T^{8} - 54207191826 T^{9} + 502297883037 T^{10} - 4115256769011 T^{11} + 33483450014533 T^{12} - 242800149371649 T^{13} + 1748498930851797 T^{14} - 11133018850032054 T^{15} + 70061071369763151 T^{16} - 380621425114913475 T^{17} + 2033817862596356898 T^{18} - 8970374140847903328 T^{19} + 38987886097075355130 T^{20} - \)\(12\!\cdots\!60\)\( T^{21} + \)\(42\!\cdots\!25\)\( T^{22} - \)\(81\!\cdots\!93\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 27 T + 825 T^{2} + 14740 T^{3} + 265530 T^{4} + 3604512 T^{5} + 48216978 T^{6} + 532394025 T^{7} + 5781875391 T^{8} + 54207191826 T^{9} + 502297883037 T^{10} + 4115256769011 T^{11} + 33483450014533 T^{12} + 242800149371649 T^{13} + 1748498930851797 T^{14} + 11133018850032054 T^{15} + 70061071369763151 T^{16} + 380621425114913475 T^{17} + 2033817862596356898 T^{18} + 8970374140847903328 T^{19} + 38987886097075355130 T^{20} + \)\(12\!\cdots\!60\)\( T^{21} + \)\(42\!\cdots\!25\)\( T^{22} + \)\(81\!\cdots\!93\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))
$61$ (\( 1 + 7 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 5 T + 27 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 + 5 T + 99 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 111 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 3 T + 23 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( 1 + 25 T + 274 T^{2} + 1525 T^{3} + 3721 T^{4} \))(\( 1 + 77 T^{2} + 3721 T^{4} \))(\( 1 + 77 T^{2} + 3721 T^{4} \))(\( 1 - 11 T + 91 T^{2} - 671 T^{3} + 3721 T^{4} \))(\( 1 - 3 T + 23 T^{2} - 183 T^{3} + 3721 T^{4} \))(\( 1 + 25 T + 274 T^{2} + 1525 T^{3} + 3721 T^{4} \))(\( 1 + 7 T + 127 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 - 5 T + 27 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 111 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 31 T + 500 T^{2} - 4851 T^{3} + 30500 T^{4} - 115351 T^{5} + 226981 T^{6} \))(\( 1 - 7 T + 170 T^{2} - 852 T^{3} + 10370 T^{4} - 26047 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 279 T^{2} + 2332 T^{3} + 17019 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 279 T^{2} + 2332 T^{3} + 17019 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 - 31 T + 500 T^{2} - 4851 T^{3} + 30500 T^{4} - 115351 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 118 T^{2} - 204 T^{3} + 10355 T^{4} - 12444 T^{5} + 439078 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 123 T^{2} - 952 T^{3} + 10116 T^{4} - 58072 T^{5} + 457683 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T + 123 T^{2} - 952 T^{3} + 10116 T^{4} - 58072 T^{5} + 457683 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 2 T + 118 T^{2} - 204 T^{3} + 10355 T^{4} - 12444 T^{5} + 439078 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 + 21 T + 179 T^{2} + 599 T^{3} + 4942 T^{4} + 117501 T^{5} + 1350479 T^{6} + 7167561 T^{7} + 18389182 T^{8} + 135961619 T^{9} + 2478405539 T^{10} + 17736522321 T^{11} + 51520374361 T^{12} \))(\( 1 + T + 329 T^{2} + 241 T^{3} + 46998 T^{4} + 25801 T^{5} + 3739129 T^{6} + 1573861 T^{7} + 174879558 T^{8} + 54702421 T^{9} + 4555281689 T^{10} + 844596301 T^{11} + 51520374361 T^{12} \))(\( 1 + 30 T + 570 T^{2} + 7798 T^{3} + 88647 T^{4} + 842676 T^{5} + 7062604 T^{6} + 51403236 T^{7} + 329855487 T^{8} + 1769997838 T^{9} + 7892129370 T^{10} + 25337889030 T^{11} + 51520374361 T^{12} \))(\( 1 + 30 T + 570 T^{2} + 7798 T^{3} + 88647 T^{4} + 842676 T^{5} + 7062604 T^{6} + 51403236 T^{7} + 329855487 T^{8} + 1769997838 T^{9} + 7892129370 T^{10} + 25337889030 T^{11} + 51520374361 T^{12} \))(\( 1 + T + 329 T^{2} + 241 T^{3} + 46998 T^{4} + 25801 T^{5} + 3739129 T^{6} + 1573861 T^{7} + 174879558 T^{8} + 54702421 T^{9} + 4555281689 T^{10} + 844596301 T^{11} + 51520374361 T^{12} \))(\( 1 + 21 T + 179 T^{2} + 599 T^{3} + 4942 T^{4} + 117501 T^{5} + 1350479 T^{6} + 7167561 T^{7} + 18389182 T^{8} + 135961619 T^{9} + 2478405539 T^{10} + 17736522321 T^{11} + 51520374361 T^{12} \))(\( 1 - 10 T + 318 T^{2} - 2620 T^{3} + 48238 T^{4} - 349430 T^{5} + 4834736 T^{6} - 30830310 T^{7} + 347107735 T^{8} - 1880648910 T^{9} + 17990052656 T^{10} - 79313970830 T^{11} + 667895678158 T^{12} - 2212842308620 T^{13} + 16383479046798 T^{14} - 31427428360210 T^{15} + 191707312997281 T^{16} \))(\( 1 - 2 T + 406 T^{2} - 508 T^{3} + 74786 T^{4} - 54166 T^{5} + 8280744 T^{6} - 3629134 T^{7} + 610317667 T^{8} - 221377174 T^{9} + 30812648424 T^{10} - 12294652846 T^{11} + 1035475065026 T^{12} - 429054920908 T^{13} + 20917271990566 T^{14} - 6285485672042 T^{15} + 191707312997281 T^{16} \))(\( 1 - 2 T + 406 T^{2} - 508 T^{3} + 74786 T^{4} - 54166 T^{5} + 8280744 T^{6} - 3629134 T^{7} + 610317667 T^{8} - 221377174 T^{9} + 30812648424 T^{10} - 12294652846 T^{11} + 1035475065026 T^{12} - 429054920908 T^{13} + 20917271990566 T^{14} - 6285485672042 T^{15} + 191707312997281 T^{16} \))(\( 1 - 10 T + 318 T^{2} - 2620 T^{3} + 48238 T^{4} - 349430 T^{5} + 4834736 T^{6} - 30830310 T^{7} + 347107735 T^{8} - 1880648910 T^{9} + 17990052656 T^{10} - 79313970830 T^{11} + 667895678158 T^{12} - 2212842308620 T^{13} + 16383479046798 T^{14} - 31427428360210 T^{15} + 191707312997281 T^{16} \))(\( 1 - 6 T + 261 T^{2} - 2044 T^{3} + 40377 T^{4} - 294312 T^{5} + 4455698 T^{6} - 28662330 T^{7} + 353098143 T^{8} - 2064123720 T^{9} + 21538986723 T^{10} - 106652529930 T^{11} + 1011358787738 T^{12} - 4074997156392 T^{13} + 34102264845477 T^{14} - 105307645193884 T^{15} + 820255880201481 T^{16} - 1150243877983686 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 6 T + 261 T^{2} - 2044 T^{3} + 40377 T^{4} - 294312 T^{5} + 4455698 T^{6} - 28662330 T^{7} + 353098143 T^{8} - 2064123720 T^{9} + 21538986723 T^{10} - 106652529930 T^{11} + 1011358787738 T^{12} - 4074997156392 T^{13} + 34102264845477 T^{14} - 105307645193884 T^{15} + 820255880201481 T^{16} - 1150243877983686 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 18 T + 528 T^{2} - 7422 T^{3} + 132195 T^{4} - 1543986 T^{5} + 21068451 T^{6} - 212552820 T^{7} + 2414540025 T^{8} - 21457423702 T^{9} + 211045895973 T^{10} - 1667312271180 T^{11} + 14471550640326 T^{12} - 101706048541980 T^{13} + 785301778915533 T^{14} - 4870427489303662 T^{15} + 33431337274286025 T^{16} - 179521325539118820 T^{17} + 1085454482726384811 T^{18} - 4852350940416719706 T^{19} + 25342748241675561795 T^{20} - 86793952301014994502 T^{21} + \)\(37\!\cdots\!28\)\( T^{22} - \)\(78\!\cdots\!98\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 18 T + 528 T^{2} - 7422 T^{3} + 132195 T^{4} - 1543986 T^{5} + 21068451 T^{6} - 212552820 T^{7} + 2414540025 T^{8} - 21457423702 T^{9} + 211045895973 T^{10} - 1667312271180 T^{11} + 14471550640326 T^{12} - 101706048541980 T^{13} + 785301778915533 T^{14} - 4870427489303662 T^{15} + 33431337274286025 T^{16} - 179521325539118820 T^{17} + 1085454482726384811 T^{18} - 4852350940416719706 T^{19} + 25342748241675561795 T^{20} - 86793952301014994502 T^{21} + \)\(37\!\cdots\!28\)\( T^{22} - \)\(78\!\cdots\!98\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))
$67$ (\( 1 + 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 10 T + 154 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 - 16 T + 146 T^{2} - 1072 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 143 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( 1 - 6 T + 138 T^{2} - 402 T^{3} + 4489 T^{4} \))(\( 1 - 5 T + 102 T^{2} - 335 T^{3} + 4489 T^{4} \))(\( 1 - 11 T + 63 T^{2} - 737 T^{3} + 4489 T^{4} \))(\( 1 + 11 T + 63 T^{2} + 737 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 58 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 6 T + 138 T^{2} + 402 T^{3} + 4489 T^{4} \))(\( 1 + 5 T + 102 T^{2} + 335 T^{3} + 4489 T^{4} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( 1 - 10 T + 154 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( 1 - 9 T + 143 T^{2} - 603 T^{3} + 4489 T^{4} \))(\( 1 - 24 T + 377 T^{2} - 3616 T^{3} + 25259 T^{4} - 107736 T^{5} + 300763 T^{6} \))(\( 1 + 12 T + 197 T^{2} + 1592 T^{3} + 13199 T^{4} + 53868 T^{5} + 300763 T^{6} \))(\( 1 + 3 T + 57 T^{2} - 87 T^{3} + 3819 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 - 3 T + 57 T^{2} + 87 T^{3} + 3819 T^{4} - 13467 T^{5} + 300763 T^{6} \))(\( 1 + 24 T + 377 T^{2} + 3616 T^{3} + 25259 T^{4} + 107736 T^{5} + 300763 T^{6} \))(\( 1 + 22 T + 287 T^{2} + 2200 T^{3} + 17361 T^{4} + 147400 T^{5} + 1288343 T^{6} + 6616786 T^{7} + 20151121 T^{8} \))(\( 1 + 7 T + 200 T^{2} + 1479 T^{3} + 17806 T^{4} + 99093 T^{5} + 897800 T^{6} + 2105341 T^{7} + 20151121 T^{8} \))(\( 1 - 7 T + 200 T^{2} - 1479 T^{3} + 17806 T^{4} - 99093 T^{5} + 897800 T^{6} - 2105341 T^{7} + 20151121 T^{8} \))(\( 1 - 22 T + 287 T^{2} - 2200 T^{3} + 17361 T^{4} - 147400 T^{5} + 1288343 T^{6} - 6616786 T^{7} + 20151121 T^{8} \))(\( 1 + 14 T + 229 T^{2} + 2448 T^{3} + 32716 T^{4} + 268646 T^{5} + 2539284 T^{6} + 17999282 T^{7} + 146862124 T^{8} + 736267824 T^{9} + 4614606709 T^{10} + 18901751498 T^{11} + 90458382169 T^{12} \))(\( 1 + 14 T + 273 T^{2} + 2972 T^{3} + 36500 T^{4} + 328290 T^{5} + 3017708 T^{6} + 21995430 T^{7} + 163848500 T^{8} + 893867636 T^{9} + 5501256033 T^{10} + 18901751498 T^{11} + 90458382169 T^{12} \))(\( 1 - 15 T + 309 T^{2} - 3452 T^{3} + 45504 T^{4} - 397800 T^{5} + 3877017 T^{6} - 26652600 T^{7} + 204267456 T^{8} - 1038233876 T^{9} + 6226696389 T^{10} - 20251876605 T^{11} + 90458382169 T^{12} \))(\( 1 + 15 T + 309 T^{2} + 3452 T^{3} + 45504 T^{4} + 397800 T^{5} + 3877017 T^{6} + 26652600 T^{7} + 204267456 T^{8} + 1038233876 T^{9} + 6226696389 T^{10} + 20251876605 T^{11} + 90458382169 T^{12} \))(\( 1 - 14 T + 273 T^{2} - 2972 T^{3} + 36500 T^{4} - 328290 T^{5} + 3017708 T^{6} - 21995430 T^{7} + 163848500 T^{8} - 893867636 T^{9} + 5501256033 T^{10} - 18901751498 T^{11} + 90458382169 T^{12} \))(\( 1 - 14 T + 229 T^{2} - 2448 T^{3} + 32716 T^{4} - 268646 T^{5} + 2539284 T^{6} - 17999282 T^{7} + 146862124 T^{8} - 736267824 T^{9} + 4614606709 T^{10} - 18901751498 T^{11} + 90458382169 T^{12} \))(\( 1 - 20 T + 406 T^{2} - 5380 T^{3} + 69247 T^{4} - 738900 T^{5} + 7634548 T^{6} - 68823040 T^{7} + 600554185 T^{8} - 4611143680 T^{9} + 34271485972 T^{10} - 222233780700 T^{11} + 1395404675887 T^{12} - 7263673075660 T^{13} + 36726103160614 T^{14} - 121214232106460 T^{15} + 406067677556641 T^{16} \))(\( 1 - 44 T + 1198 T^{2} - 23708 T^{3} + 377831 T^{4} - 5021804 T^{5} + 57346020 T^{6} - 569653264 T^{7} + 4972474249 T^{8} - 38166768688 T^{9} + 257426283780 T^{10} - 1510372836452 T^{11} + 7613718198551 T^{12} - 32008766036756 T^{13} + 108369141838462 T^{14} - 266671310634212 T^{15} + 406067677556641 T^{16} \))(\( 1 + 44 T + 1198 T^{2} + 23708 T^{3} + 377831 T^{4} + 5021804 T^{5} + 57346020 T^{6} + 569653264 T^{7} + 4972474249 T^{8} + 38166768688 T^{9} + 257426283780 T^{10} + 1510372836452 T^{11} + 7613718198551 T^{12} + 32008766036756 T^{13} + 108369141838462 T^{14} + 266671310634212 T^{15} + 406067677556641 T^{16} \))(\( 1 + 20 T + 406 T^{2} + 5380 T^{3} + 69247 T^{4} + 738900 T^{5} + 7634548 T^{6} + 68823040 T^{7} + 600554185 T^{8} + 4611143680 T^{9} + 34271485972 T^{10} + 222233780700 T^{11} + 1395404675887 T^{12} + 7263673075660 T^{13} + 36726103160614 T^{14} + 121214232106460 T^{15} + 406067677556641 T^{16} \))(\( 1 + 27 T + 627 T^{2} + 8931 T^{3} + 109944 T^{4} + 923214 T^{5} + 6366104 T^{6} + 18176181 T^{7} - 45746610 T^{8} - 1566607282 T^{9} - 3065022870 T^{10} + 81592876509 T^{11} + 1914688537352 T^{12} + 18603797022894 T^{13} + 148438154764008 T^{14} + 807883811151339 T^{15} + 3800066176537521 T^{16} + 10963827294029307 T^{17} + 27206534396294947 T^{18} \))(\( 1 - 27 T + 627 T^{2} - 8931 T^{3} + 109944 T^{4} - 923214 T^{5} + 6366104 T^{6} - 18176181 T^{7} - 45746610 T^{8} + 1566607282 T^{9} - 3065022870 T^{10} - 81592876509 T^{11} + 1914688537352 T^{12} - 18603797022894 T^{13} + 148438154764008 T^{14} - 807883811151339 T^{15} + 3800066176537521 T^{16} - 10963827294029307 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 9 T + 519 T^{2} + 4834 T^{3} + 131109 T^{4} + 1199043 T^{5} + 21510128 T^{6} + 185710296 T^{7} + 2575079025 T^{8} + 20463655155 T^{9} + 239208833097 T^{10} + 1726256985009 T^{11} + 17810359192402 T^{12} + 115659217995603 T^{13} + 1073808451772433 T^{14} + 6154710315383265 T^{15} + 51890729017337025 T^{16} + 250732133258001672 T^{17} + 1945771379128107632 T^{18} + 7267053825381305889 T^{19} + 53239127136773644869 T^{20} + \)\(13\!\cdots\!98\)\( T^{21} + \)\(94\!\cdots\!31\)\( T^{22} + \)\(10\!\cdots\!47\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 9 T + 519 T^{2} - 4834 T^{3} + 131109 T^{4} - 1199043 T^{5} + 21510128 T^{6} - 185710296 T^{7} + 2575079025 T^{8} - 20463655155 T^{9} + 239208833097 T^{10} - 1726256985009 T^{11} + 17810359192402 T^{12} - 115659217995603 T^{13} + 1073808451772433 T^{14} - 6154710315383265 T^{15} + 51890729017337025 T^{16} - 250732133258001672 T^{17} + 1945771379128107632 T^{18} - 7267053825381305889 T^{19} + 53239127136773644869 T^{20} - \)\(13\!\cdots\!98\)\( T^{21} + \)\(94\!\cdots\!31\)\( T^{22} - \)\(10\!\cdots\!47\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))
$71$ (\( 1 - 15 T + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 5 T + 47 T^{2} - 355 T^{3} + 5041 T^{4} \))(\( 1 - 15 T + 169 T^{2} - 1065 T^{3} + 5041 T^{4} \))(\( ( 1 - 10 T + 71 T^{2} )^{2} \))(\( 1 + 3 T + 43 T^{2} + 213 T^{3} + 5041 T^{4} \))(\( 1 + 9 T + 56 T^{2} + 639 T^{3} + 5041 T^{4} \))(\( 1 - 16 T + 186 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 186 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 + 3 T - 67 T^{2} + 213 T^{3} + 5041 T^{4} \))(\( 1 - 3 T + 43 T^{2} - 213 T^{3} + 5041 T^{4} \))(\( 1 - 9 T + 56 T^{2} - 639 T^{3} + 5041 T^{4} \))(\( 1 + 3 T + 137 T^{2} + 213 T^{3} + 5041 T^{4} \))(\( 1 + 5 T + 47 T^{2} + 355 T^{3} + 5041 T^{4} \))(\( ( 1 + 10 T + 71 T^{2} )^{2} \))(\( 1 + 27 T + 416 T^{2} + 4279 T^{3} + 29536 T^{4} + 136107 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 212 T^{2} + 1270 T^{3} + 15052 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 159 T^{2} + 1305 T^{3} + 11289 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} \))(\( 1 - 27 T + 416 T^{2} - 4279 T^{3} + 29536 T^{4} - 136107 T^{5} + 357911 T^{6} \))(\( 1 + 4 T + 120 T^{2} + 36 T^{3} + 6014 T^{4} + 2556 T^{5} + 604920 T^{6} + 1431644 T^{7} + 25411681 T^{8} \))(\( 1 - 21 T + 393 T^{2} - 4632 T^{3} + 45790 T^{4} - 328872 T^{5} + 1981113 T^{6} - 7516131 T^{7} + 25411681 T^{8} \))(\( 1 + 21 T + 393 T^{2} + 4632 T^{3} + 45790 T^{4} + 328872 T^{5} + 1981113 T^{6} + 7516131 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 120 T^{2} - 36 T^{3} + 6014 T^{4} - 2556 T^{5} + 604920 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 24 T + 614 T^{2} + 8936 T^{3} + 128127 T^{4} + 1295504 T^{5} + 12719764 T^{6} + 91980784 T^{7} + 645888207 T^{8} + 3198292696 T^{9} + 15602772134 T^{10} + 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 + 8 T + 210 T^{2} + 1176 T^{3} + 20863 T^{4} + 75984 T^{5} + 1480252 T^{6} + 5394864 T^{7} + 105170383 T^{8} + 420903336 T^{9} + 5336453010 T^{10} + 14433834808 T^{11} + 128100283921 T^{12} \))(\( 1 - 21 T + 402 T^{2} - 4866 T^{3} + 58551 T^{4} - 529845 T^{5} + 4986884 T^{6} - 37618995 T^{7} + 295155591 T^{8} - 1741594926 T^{9} + 10215495762 T^{10} - 37888816371 T^{11} + 128100283921 T^{12} \))(\( 1 + 21 T + 402 T^{2} + 4866 T^{3} + 58551 T^{4} + 529845 T^{5} + 4986884 T^{6} + 37618995 T^{7} + 295155591 T^{8} + 1741594926 T^{9} + 10215495762 T^{10} + 37888816371 T^{11} + 128100283921 T^{12} \))(\( 1 - 8 T + 210 T^{2} - 1176 T^{3} + 20863 T^{4} - 75984 T^{5} + 1480252 T^{6} - 5394864 T^{7} + 105170383 T^{8} - 420903336 T^{9} + 5336453010 T^{10} - 14433834808 T^{11} + 128100283921 T^{12} \))(\( 1 - 24 T + 614 T^{2} - 8936 T^{3} + 128127 T^{4} - 1295504 T^{5} + 12719764 T^{6} - 91980784 T^{7} + 645888207 T^{8} - 3198292696 T^{9} + 15602772134 T^{10} - 43301504424 T^{11} + 128100283921 T^{12} \))(\( 1 + 328 T^{2} - 320 T^{3} + 52308 T^{4} - 101120 T^{5} + 5523096 T^{6} - 13497280 T^{7} + 440891110 T^{8} - 958306880 T^{9} + 27841926936 T^{10} - 36191960320 T^{11} + 1329234209748 T^{12} - 577353392320 T^{13} + 42016893126088 T^{14} + 645753531245761 T^{16} \))(\( 1 - 8 T + 456 T^{2} - 3432 T^{3} + 97396 T^{4} - 662184 T^{5} + 12657944 T^{6} - 74559816 T^{7} + 1091090982 T^{8} - 5293746936 T^{9} + 63808695704 T^{10} - 237002937624 T^{11} + 2474996082676 T^{12} - 6192115132632 T^{13} + 58413729467976 T^{14} - 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( 1 + 8 T + 456 T^{2} + 3432 T^{3} + 97396 T^{4} + 662184 T^{5} + 12657944 T^{6} + 74559816 T^{7} + 1091090982 T^{8} + 5293746936 T^{9} + 63808695704 T^{10} + 237002937624 T^{11} + 2474996082676 T^{12} + 6192115132632 T^{13} + 58413729467976 T^{14} + 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( 1 + 328 T^{2} + 320 T^{3} + 52308 T^{4} + 101120 T^{5} + 5523096 T^{6} + 13497280 T^{7} + 440891110 T^{8} + 958306880 T^{9} + 27841926936 T^{10} + 36191960320 T^{11} + 1329234209748 T^{12} + 577353392320 T^{13} + 42016893126088 T^{14} + 645753531245761 T^{16} \))(\( 1 + 9 T + 423 T^{2} + 2799 T^{3} + 77883 T^{4} + 345003 T^{5} + 8491652 T^{6} + 22461513 T^{7} + 676777227 T^{8} + 1257390823 T^{9} + 48051183117 T^{10} + 113228487033 T^{11} + 3039255658972 T^{12} + 8767106180043 T^{13} + 140518794543933 T^{14} + 358552694694879 T^{15} + 3847235826999393 T^{16} + 5811781781211849 T^{17} + 45848500718449031 T^{18} \))(\( 1 - 9 T + 423 T^{2} - 2799 T^{3} + 77883 T^{4} - 345003 T^{5} + 8491652 T^{6} - 22461513 T^{7} + 676777227 T^{8} - 1257390823 T^{9} + 48051183117 T^{10} - 113228487033 T^{11} + 3039255658972 T^{12} - 8767106180043 T^{13} + 140518794543933 T^{14} - 358552694694879 T^{15} + 3847235826999393 T^{16} - 5811781781211849 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 27 T + 618 T^{2} + 8124 T^{3} + 100149 T^{4} + 813279 T^{5} + 7279203 T^{6} + 39562392 T^{7} + 350963031 T^{8} + 1337815422 T^{9} + 19387427043 T^{10} + 75277301148 T^{11} + 1437014878078 T^{12} + 5344688381508 T^{13} + 97732019723763 T^{14} + 478818855503442 T^{15} + 8918560586565111 T^{16} + 71379628842167592 T^{17} + 932467971018594963 T^{18} + 7396870227296074089 T^{19} + 64671570400731718389 T^{20} + \)\(37\!\cdots\!44\)\( T^{21} + \)\(20\!\cdots\!18\)\( T^{22} + \)\(62\!\cdots\!17\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 27 T + 618 T^{2} - 8124 T^{3} + 100149 T^{4} - 813279 T^{5} + 7279203 T^{6} - 39562392 T^{7} + 350963031 T^{8} - 1337815422 T^{9} + 19387427043 T^{10} - 75277301148 T^{11} + 1437014878078 T^{12} - 5344688381508 T^{13} + 97732019723763 T^{14} - 478818855503442 T^{15} + 8918560586565111 T^{16} - 71379628842167592 T^{17} + 932467971018594963 T^{18} - 7396870227296074089 T^{19} + 64671570400731718389 T^{20} - \)\(37\!\cdots\!44\)\( T^{21} + \)\(20\!\cdots\!18\)\( T^{22} - \)\(62\!\cdots\!17\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))
$73$ (\( 1 + 14 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 8 T + 82 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 18 T + 214 T^{2} - 1314 T^{3} + 5329 T^{4} \))(\( 1 + 9 T + 65 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( 1 - 5 T + 148 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( 1 + 7 T + 127 T^{2} + 511 T^{3} + 5329 T^{4} \))(\( 1 + 7 T + 127 T^{2} + 511 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 166 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( 1 - 5 T + 148 T^{2} - 365 T^{3} + 5329 T^{4} \))(\( 1 - 2 T + 118 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 82 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 9 T + 65 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 119 T^{2} + 244 T^{3} + 8687 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 + 107 T^{2} - 392 T^{3} + 7811 T^{4} + 389017 T^{6} \))(\( 1 + 21 T + 327 T^{2} + 3047 T^{3} + 23871 T^{4} + 111909 T^{5} + 389017 T^{6} \))(\( 1 + 21 T + 327 T^{2} + 3047 T^{3} + 23871 T^{4} + 111909 T^{5} + 389017 T^{6} \))(\( 1 + 6 T + 119 T^{2} + 244 T^{3} + 8687 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 - 10 T + 177 T^{2} - 1430 T^{3} + 16989 T^{4} - 104390 T^{5} + 943233 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 - 21 T + 306 T^{2} - 2803 T^{3} + 25626 T^{4} - 204619 T^{5} + 1630674 T^{6} - 8169357 T^{7} + 28398241 T^{8} \))(\( 1 - 21 T + 306 T^{2} - 2803 T^{3} + 25626 T^{4} - 204619 T^{5} + 1630674 T^{6} - 8169357 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T + 177 T^{2} - 1430 T^{3} + 16989 T^{4} - 104390 T^{5} + 943233 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + 21 T + 472 T^{2} + 5656 T^{3} + 72441 T^{4} + 625024 T^{5} + 6266543 T^{6} + 45626752 T^{7} + 386038089 T^{8} + 2200280152 T^{9} + 13403969752 T^{10} + 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 - 5 T + 224 T^{2} - 824 T^{3} + 23791 T^{4} - 69418 T^{5} + 1828177 T^{6} - 5067514 T^{7} + 126782239 T^{8} - 320550008 T^{9} + 6361205984 T^{10} - 10365357965 T^{11} + 151334226289 T^{12} \))(\( 1 + 33 T + 657 T^{2} + 9652 T^{3} + 116484 T^{4} + 1197894 T^{5} + 10855903 T^{6} + 87446262 T^{7} + 620743236 T^{8} + 3754792084 T^{9} + 18657644337 T^{10} + 68411362569 T^{11} + 151334226289 T^{12} \))(\( 1 + 33 T + 657 T^{2} + 9652 T^{3} + 116484 T^{4} + 1197894 T^{5} + 10855903 T^{6} + 87446262 T^{7} + 620743236 T^{8} + 3754792084 T^{9} + 18657644337 T^{10} + 68411362569 T^{11} + 151334226289 T^{12} \))(\( 1 - 5 T + 224 T^{2} - 824 T^{3} + 23791 T^{4} - 69418 T^{5} + 1828177 T^{6} - 5067514 T^{7} + 126782239 T^{8} - 320550008 T^{9} + 6361205984 T^{10} - 10365357965 T^{11} + 151334226289 T^{12} \))(\( 1 + 21 T + 472 T^{2} + 5656 T^{3} + 72441 T^{4} + 625024 T^{5} + 6266543 T^{6} + 45626752 T^{7} + 386038089 T^{8} + 2200280152 T^{9} + 13403969752 T^{10} + 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 + 18 T + 582 T^{2} + 8184 T^{3} + 146331 T^{4} + 1658678 T^{5} + 21073450 T^{6} + 194166912 T^{7} + 1913088689 T^{8} + 14174184576 T^{9} + 112300415050 T^{10} + 645253939526 T^{11} + 4155543003771 T^{12} + 16966017917112 T^{13} + 88076519700198 T^{14} + 198853173343746 T^{15} + 806460091894081 T^{16} \))(\( 1 - 30 T + 574 T^{2} - 9060 T^{3} + 127167 T^{4} - 1530370 T^{5} + 16391722 T^{6} - 161356800 T^{7} + 1454975085 T^{8} - 11779046400 T^{9} + 87351486538 T^{10} - 595339946290 T^{11} + 3611319113247 T^{12} - 18782028632580 T^{13} + 86865845889886 T^{14} - 331421955572910 T^{15} + 806460091894081 T^{16} \))(\( 1 - 30 T + 574 T^{2} - 9060 T^{3} + 127167 T^{4} - 1530370 T^{5} + 16391722 T^{6} - 161356800 T^{7} + 1454975085 T^{8} - 11779046400 T^{9} + 87351486538 T^{10} - 595339946290 T^{11} + 3611319113247 T^{12} - 18782028632580 T^{13} + 86865845889886 T^{14} - 331421955572910 T^{15} + 806460091894081 T^{16} \))(\( 1 + 18 T + 582 T^{2} + 8184 T^{3} + 146331 T^{4} + 1658678 T^{5} + 21073450 T^{6} + 194166912 T^{7} + 1913088689 T^{8} + 14174184576 T^{9} + 112300415050 T^{10} + 645253939526 T^{11} + 4155543003771 T^{12} + 16966017917112 T^{13} + 88076519700198 T^{14} + 198853173343746 T^{15} + 806460091894081 T^{16} \))(\( 1 - 51 T + 1551 T^{2} - 33555 T^{3} + 580662 T^{4} - 8410122 T^{5} + 106104506 T^{6} - 1184347149 T^{7} + 11860434504 T^{8} - 106702319462 T^{9} + 865811718792 T^{10} - 6311385957021 T^{11} + 41276456610602 T^{12} - 238832671395402 T^{13} + 1203753897334566 T^{14} - 5078019963127395 T^{15} + 17134515103119447 T^{16} - 41129464686598131 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 51 T + 1551 T^{2} - 33555 T^{3} + 580662 T^{4} - 8410122 T^{5} + 106104506 T^{6} - 1184347149 T^{7} + 11860434504 T^{8} - 106702319462 T^{9} + 865811718792 T^{10} - 6311385957021 T^{11} + 41276456610602 T^{12} - 238832671395402 T^{13} + 1203753897334566 T^{14} - 5078019963127395 T^{15} + 17134515103119447 T^{16} - 41129464686598131 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 9 T + 465 T^{2} + 4326 T^{3} + 119211 T^{4} + 1062543 T^{5} + 20863848 T^{6} + 175433520 T^{7} + 2732182593 T^{8} + 21292797395 T^{9} + 279497945463 T^{10} + 1987615307607 T^{11} + 22777645072710 T^{12} + 145095917455311 T^{13} + 1489444551372327 T^{14} + 8283260164210715 T^{15} + 77589179732018913 T^{16} + 363686246771997360 T^{17} + 3157414294491300072 T^{18} + 11738335964676883671 T^{19} + 96138914014785290091 T^{20} + \)\(25\!\cdots\!38\)\( T^{21} + \)\(19\!\cdots\!85\)\( T^{22} + \)\(28\!\cdots\!93\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 9 T + 465 T^{2} + 4326 T^{3} + 119211 T^{4} + 1062543 T^{5} + 20863848 T^{6} + 175433520 T^{7} + 2732182593 T^{8} + 21292797395 T^{9} + 279497945463 T^{10} + 1987615307607 T^{11} + 22777645072710 T^{12} + 145095917455311 T^{13} + 1489444551372327 T^{14} + 8283260164210715 T^{15} + 77589179732018913 T^{16} + 363686246771997360 T^{17} + 3157414294491300072 T^{18} + 11738335964676883671 T^{19} + 96138914014785290091 T^{20} + \)\(25\!\cdots\!38\)\( T^{21} + \)\(19\!\cdots\!85\)\( T^{22} + \)\(28\!\cdots\!93\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))
$79$ (\( 1 - 4 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 11 T + 157 T^{2} + 869 T^{3} + 6241 T^{4} \))(\( 1 + 19 T + 219 T^{2} + 1501 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 177 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 + 15 T + 153 T^{2} + 1185 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 126 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 - 27 T + 329 T^{2} - 2133 T^{3} + 6241 T^{4} \))(\( 1 + 27 T + 329 T^{2} + 2133 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 127 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 153 T^{2} - 1185 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 126 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + 9 T + 171 T^{2} + 711 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 157 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 + 11 T + 177 T^{2} + 869 T^{3} + 6241 T^{4} \))(\( 1 + 77 T^{2} - 608 T^{3} + 6083 T^{4} + 493039 T^{6} \))(\( 1 + 15 T + 278 T^{2} + 2386 T^{3} + 21962 T^{4} + 93615 T^{5} + 493039 T^{6} \))(\( 1 - 6 T + 174 T^{2} - 931 T^{3} + 13746 T^{4} - 37446 T^{5} + 493039 T^{6} \))(\( 1 + 6 T + 174 T^{2} + 931 T^{3} + 13746 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 + 77 T^{2} + 608 T^{3} + 6083 T^{4} + 493039 T^{6} \))(\( 1 + 2 T + 75 T^{2} + 1132 T^{3} + 1589 T^{4} + 89428 T^{5} + 468075 T^{6} + 986078 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 140 T^{2} - 1608 T^{3} + 15142 T^{4} - 127032 T^{5} + 873740 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 1608 T^{3} + 15142 T^{4} + 127032 T^{5} + 873740 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 2 T + 75 T^{2} - 1132 T^{3} + 1589 T^{4} - 89428 T^{5} + 468075 T^{6} - 986078 T^{7} + 38950081 T^{8} \))(\( 1 + 58 T + 1777 T^{2} + 36768 T^{3} + 569544 T^{4} + 6942346 T^{5} + 68385596 T^{6} + 548445334 T^{7} + 3554524104 T^{8} + 18128057952 T^{9} + 69214293937 T^{10} + 178469271142 T^{11} + 243087455521 T^{12} \))(\( 1 - 30 T + 761 T^{2} - 12468 T^{3} + 179708 T^{4} - 1994274 T^{5} + 19849156 T^{6} - 157547646 T^{7} + 1121557628 T^{8} - 6147210252 T^{9} + 29641011641 T^{10} - 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 + 30 T + 657 T^{2} + 10665 T^{3} + 143751 T^{4} + 1602123 T^{5} + 15515766 T^{6} + 126567717 T^{7} + 897149991 T^{8} + 5258260935 T^{9} + 25590203217 T^{10} + 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 - 30 T + 657 T^{2} - 10665 T^{3} + 143751 T^{4} - 1602123 T^{5} + 15515766 T^{6} - 126567717 T^{7} + 897149991 T^{8} - 5258260935 T^{9} + 25590203217 T^{10} - 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 + 30 T + 761 T^{2} + 12468 T^{3} + 179708 T^{4} + 1994274 T^{5} + 19849156 T^{6} + 157547646 T^{7} + 1121557628 T^{8} + 6147210252 T^{9} + 29641011641 T^{10} + 92311691970 T^{11} + 243087455521 T^{12} \))(\( 1 - 58 T + 1777 T^{2} - 36768 T^{3} + 569544 T^{4} - 6942346 T^{5} + 68385596 T^{6} - 548445334 T^{7} + 3554524104 T^{8} - 18128057952 T^{9} + 69214293937 T^{10} - 178469271142 T^{11} + 243087455521 T^{12} \))(\( 1 + 4 T + 294 T^{2} + 1304 T^{3} + 44091 T^{4} + 226612 T^{5} + 4767436 T^{6} + 26192272 T^{7} + 416122757 T^{8} + 2069189488 T^{9} + 29753568076 T^{10} + 111728553868 T^{11} + 1717348021371 T^{12} + 4012481544296 T^{13} + 71467711923174 T^{14} + 76815635944636 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 60 T + 2102 T^{2} - 51840 T^{3} + 997523 T^{4} - 15610220 T^{5} + 204832004 T^{6} - 2285132800 T^{7} + 21900771645 T^{8} - 180525491200 T^{9} + 1278356536964 T^{10} - 7696447258580 T^{11} + 38853601649363 T^{12} - 159514603724160 T^{13} + 510969831505142 T^{14} - 1152234539169540 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 60 T + 2102 T^{2} + 51840 T^{3} + 997523 T^{4} + 15610220 T^{5} + 204832004 T^{6} + 2285132800 T^{7} + 21900771645 T^{8} + 180525491200 T^{9} + 1278356536964 T^{10} + 7696447258580 T^{11} + 38853601649363 T^{12} + 159514603724160 T^{13} + 510969831505142 T^{14} + 1152234539169540 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 4 T + 294 T^{2} - 1304 T^{3} + 44091 T^{4} - 226612 T^{5} + 4767436 T^{6} - 26192272 T^{7} + 416122757 T^{8} - 2069189488 T^{9} + 29753568076 T^{10} - 111728553868 T^{11} + 1717348021371 T^{12} - 4012481544296 T^{13} + 71467711923174 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 24 T + 639 T^{2} + 9621 T^{3} + 148428 T^{4} + 1649373 T^{5} + 19180808 T^{6} + 175580730 T^{7} + 1775063997 T^{8} + 14771977285 T^{9} + 140230055763 T^{10} + 1095799335930 T^{11} + 9456886395512 T^{12} + 64243211949213 T^{13} + 456721327190772 T^{14} + 2338744409567541 T^{15} + 12271297842155601 T^{16} + 36410611437757464 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 24 T + 639 T^{2} - 9621 T^{3} + 148428 T^{4} - 1649373 T^{5} + 19180808 T^{6} - 175580730 T^{7} + 1775063997 T^{8} - 14771977285 T^{9} + 140230055763 T^{10} - 1095799335930 T^{11} + 9456886395512 T^{12} - 64243211949213 T^{13} + 456721327190772 T^{14} - 2338744409567541 T^{15} + 12271297842155601 T^{16} - 36410611437757464 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 12 T + 642 T^{2} - 7385 T^{3} + 201240 T^{4} - 2181066 T^{5} + 41096876 T^{6} - 412480146 T^{7} + 6108073644 T^{8} - 55908523161 T^{9} + 694878214194 T^{10} - 5723698602900 T^{11} + 61862643835774 T^{12} - 452172189629100 T^{13} + 4336734934784754 T^{14} - 27565082350776279 T^{15} + 237909963187765164 T^{16} - 1269224672709754254 T^{17} + 9990135016702052396 T^{18} - 41884992956805865494 T^{19} + \)\(30\!\cdots\!40\)\( T^{20} - \)\(88\!\cdots\!15\)\( T^{21} + \)\(60\!\cdots\!42\)\( T^{22} - \)\(89\!\cdots\!48\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 12 T + 642 T^{2} + 7385 T^{3} + 201240 T^{4} + 2181066 T^{5} + 41096876 T^{6} + 412480146 T^{7} + 6108073644 T^{8} + 55908523161 T^{9} + 694878214194 T^{10} + 5723698602900 T^{11} + 61862643835774 T^{12} + 452172189629100 T^{13} + 4336734934784754 T^{14} + 27565082350776279 T^{15} + 237909963187765164 T^{16} + 1269224672709754254 T^{17} + 9990135016702052396 T^{18} + 41884992956805865494 T^{19} + \)\(30\!\cdots\!40\)\( T^{20} + \)\(88\!\cdots\!15\)\( T^{21} + \)\(60\!\cdots\!42\)\( T^{22} + \)\(89\!\cdots\!48\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))
$83$ (\( 1 + 7 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 14 T + 170 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 118 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 4 T - 10 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 - 18 T + 242 T^{2} - 1494 T^{3} + 6889 T^{4} \))(\( ( 1 + T + 83 T^{2} )^{2} \))(\( 1 + 4 T + 150 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 150 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 86 T^{2} + 6889 T^{4} \))(\( 1 - 18 T + 242 T^{2} - 1494 T^{3} + 6889 T^{4} \))(\( ( 1 + T + 83 T^{2} )^{2} \))(\( ( 1 - 8 T + 83 T^{2} )^{2} \))(\( 1 - 14 T + 170 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 4 T - 10 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + T + 234 T^{2} + 141 T^{3} + 19422 T^{4} + 6889 T^{5} + 571787 T^{6} \))(\( 1 + 16 T + 249 T^{2} + 2208 T^{3} + 20667 T^{4} + 110224 T^{5} + 571787 T^{6} \))(\( 1 - 15 T + 297 T^{2} - 2507 T^{3} + 24651 T^{4} - 103335 T^{5} + 571787 T^{6} \))(\( 1 - 15 T + 297 T^{2} - 2507 T^{3} + 24651 T^{4} - 103335 T^{5} + 571787 T^{6} \))(\( 1 + T + 234 T^{2} + 141 T^{3} + 19422 T^{4} + 6889 T^{5} + 571787 T^{6} \))(\( 1 + 132 T^{2} + 17814 T^{4} + 909348 T^{6} + 47458321 T^{8} \))(\( 1 + 12 T + 150 T^{2} - 138 T^{3} + 61 T^{4} - 11454 T^{5} + 1033350 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( 1 + 12 T + 150 T^{2} - 138 T^{3} + 61 T^{4} - 11454 T^{5} + 1033350 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( 1 + 132 T^{2} + 17814 T^{4} + 909348 T^{6} + 47458321 T^{8} \))(\( 1 - 20 T + 310 T^{2} - 1836 T^{3} + 5415 T^{4} + 163640 T^{5} - 1578732 T^{6} + 13582120 T^{7} + 37303935 T^{8} - 1049800932 T^{9} + 14712079510 T^{10} - 78780812860 T^{11} + 326940373369 T^{12} \))(\( 1 + 12 T + 414 T^{2} + 3364 T^{3} + 68711 T^{4} + 416616 T^{5} + 6847812 T^{6} + 34579128 T^{7} + 473350079 T^{8} + 1923491468 T^{9} + 19647744894 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 + 33 T + 711 T^{2} + 11582 T^{3} + 154680 T^{4} + 1739418 T^{5} + 17033639 T^{6} + 144371694 T^{7} + 1065590520 T^{8} + 6622437034 T^{9} + 33742866231 T^{10} + 129988341219 T^{11} + 326940373369 T^{12} \))(\( 1 + 33 T + 711 T^{2} + 11582 T^{3} + 154680 T^{4} + 1739418 T^{5} + 17033639 T^{6} + 144371694 T^{7} + 1065590520 T^{8} + 6622437034 T^{9} + 33742866231 T^{10} + 129988341219 T^{11} + 326940373369 T^{12} \))(\( 1 + 12 T + 414 T^{2} + 3364 T^{3} + 68711 T^{4} + 416616 T^{5} + 6847812 T^{6} + 34579128 T^{7} + 473350079 T^{8} + 1923491468 T^{9} + 19647744894 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 20 T + 310 T^{2} - 1836 T^{3} + 5415 T^{4} + 163640 T^{5} - 1578732 T^{6} + 13582120 T^{7} + 37303935 T^{8} - 1049800932 T^{9} + 14712079510 T^{10} - 78780812860 T^{11} + 326940373369 T^{12} \))(\( 1 - 36 T + 836 T^{2} - 13604 T^{3} + 186368 T^{4} - 2178916 T^{5} + 23799084 T^{6} - 238118692 T^{7} + 2268501198 T^{8} - 19763851436 T^{9} + 163951889676 T^{10} - 1245875842892 T^{11} + 8844712368128 T^{12} - 53586708907372 T^{13} + 273322152136484 T^{14} - 976897835626572 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 28 T + 652 T^{2} + 11004 T^{3} + 164896 T^{4} + 2150268 T^{5} + 25012900 T^{6} + 264499292 T^{7} + 2507137614 T^{8} + 21953441236 T^{9} + 172313868100 T^{10} + 1229495288916 T^{11} + 7825687299616 T^{12} + 43345203235572 T^{13} + 213165123436588 T^{14} + 759809427709556 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 28 T + 652 T^{2} + 11004 T^{3} + 164896 T^{4} + 2150268 T^{5} + 25012900 T^{6} + 264499292 T^{7} + 2507137614 T^{8} + 21953441236 T^{9} + 172313868100 T^{10} + 1229495288916 T^{11} + 7825687299616 T^{12} + 43345203235572 T^{13} + 213165123436588 T^{14} + 759809427709556 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 36 T + 836 T^{2} - 13604 T^{3} + 186368 T^{4} - 2178916 T^{5} + 23799084 T^{6} - 238118692 T^{7} + 2268501198 T^{8} - 19763851436 T^{9} + 163951889676 T^{10} - 1245875842892 T^{11} + 8844712368128 T^{12} - 53586708907372 T^{13} + 273322152136484 T^{14} - 976897835626572 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 9 T + 363 T^{2} - 1457 T^{3} + 54057 T^{4} - 1725 T^{5} + 5180406 T^{6} + 20247639 T^{7} + 410817021 T^{8} + 2582776563 T^{9} + 34097812743 T^{10} + 139485985071 T^{11} + 2962088805522 T^{12} - 81865603725 T^{13} + 212932720038651 T^{14} - 476352123998633 T^{15} + 9850386509234601 T^{16} - 20270630089251369 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 9 T + 363 T^{2} - 1457 T^{3} + 54057 T^{4} - 1725 T^{5} + 5180406 T^{6} + 20247639 T^{7} + 410817021 T^{8} + 2582776563 T^{9} + 34097812743 T^{10} + 139485985071 T^{11} + 2962088805522 T^{12} - 81865603725 T^{13} + 212932720038651 T^{14} - 476352123998633 T^{15} + 9850386509234601 T^{16} - 20270630089251369 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 9 T + 525 T^{2} - 5304 T^{3} + 147624 T^{4} - 1482558 T^{5} + 28630878 T^{6} - 270645261 T^{7} + 4178305029 T^{8} - 36391556034 T^{9} + 479023902087 T^{10} - 3806138597139 T^{11} + 44154054259609 T^{12} - 315909503562537 T^{13} + 3299995661477343 T^{14} - 20808218650012758 T^{15} + 198295341302196309 T^{16} - 1066082682914342823 T^{17} + 9360589943202287982 T^{18} - 40230769483079425866 T^{19} + \)\(33\!\cdots\!84\)\( T^{20} - \)\(99\!\cdots\!12\)\( T^{21} + \)\(81\!\cdots\!25\)\( T^{22} - \)\(11\!\cdots\!03\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 9 T + 525 T^{2} - 5304 T^{3} + 147624 T^{4} - 1482558 T^{5} + 28630878 T^{6} - 270645261 T^{7} + 4178305029 T^{8} - 36391556034 T^{9} + 479023902087 T^{10} - 3806138597139 T^{11} + 44154054259609 T^{12} - 315909503562537 T^{13} + 3299995661477343 T^{14} - 20808218650012758 T^{15} + 198295341302196309 T^{16} - 1066082682914342823 T^{17} + 9360589943202287982 T^{18} - 40230769483079425866 T^{19} + \)\(33\!\cdots\!84\)\( T^{20} - \)\(99\!\cdots\!12\)\( T^{21} + \)\(81\!\cdots\!25\)\( T^{22} - \)\(11\!\cdots\!03\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))
$89$ (\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 7 T + 129 T^{2} + 623 T^{3} + 7921 T^{4} \))(\( 1 + 21 T + 259 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 + 3 T + 169 T^{2} + 267 T^{3} + 7921 T^{4} \))(\( 1 + 13 T + 209 T^{2} + 1157 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 34 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 5 T + 183 T^{2} + 445 T^{3} + 7921 T^{4} \))(\( 1 - 5 T + 183 T^{2} - 445 T^{3} + 7921 T^{4} \))(\( 1 - 5 T + 183 T^{2} - 445 T^{3} + 7921 T^{4} \))(\( 1 - 13 T + 209 T^{2} - 1157 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 34 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 21 T + 223 T^{2} + 1869 T^{3} + 7921 T^{4} \))(\( 1 - 7 T + 129 T^{2} - 623 T^{3} + 7921 T^{4} \))(\( 1 - 3 T + 169 T^{2} - 267 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 155 T^{2} - 952 T^{3} + 13795 T^{4} - 95052 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 242 T^{2} - 556 T^{3} + 21538 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 - 15 T + 114 T^{2} - 351 T^{3} + 10146 T^{4} - 118815 T^{5} + 704969 T^{6} \))(\( 1 + 15 T + 114 T^{2} + 351 T^{3} + 10146 T^{4} + 118815 T^{5} + 704969 T^{6} \))(\( 1 + 12 T + 155 T^{2} + 952 T^{3} + 13795 T^{4} + 95052 T^{5} + 704969 T^{6} \))(\( 1 + 10 T + 241 T^{2} + 2630 T^{3} + 28261 T^{4} + 234070 T^{5} + 1908961 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 - 34 T + 748 T^{2} - 10806 T^{3} + 119414 T^{4} - 961734 T^{5} + 5924908 T^{6} - 23968946 T^{7} + 62742241 T^{8} \))(\( 1 + 34 T + 748 T^{2} + 10806 T^{3} + 119414 T^{4} + 961734 T^{5} + 5924908 T^{6} + 23968946 T^{7} + 62742241 T^{8} \))(\( 1 - 10 T + 241 T^{2} - 2630 T^{3} + 28261 T^{4} - 234070 T^{5} + 1908961 T^{6} - 7049690 T^{7} + 62742241 T^{8} \))(\( 1 + 7 T + 132 T^{2} + 2332 T^{3} + 17469 T^{4} + 192764 T^{5} + 2578631 T^{6} + 17155996 T^{7} + 138371949 T^{8} + 1643987708 T^{9} + 8281975812 T^{10} + 39088416143 T^{11} + 496981290961 T^{12} \))(\( 1 - 11 T + 168 T^{2} - 1664 T^{3} + 24431 T^{4} - 215238 T^{5} + 2704649 T^{6} - 19156182 T^{7} + 193517951 T^{8} - 1173068416 T^{9} + 10540696488 T^{10} - 61424653939 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T + 399 T^{2} + 4644 T^{3} + 76542 T^{4} + 761340 T^{5} + 8708443 T^{6} + 67759260 T^{7} + 606289182 T^{8} + 3273876036 T^{9} + 25034154159 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T + 399 T^{2} - 4644 T^{3} + 76542 T^{4} - 761340 T^{5} + 8708443 T^{6} - 67759260 T^{7} + 606289182 T^{8} - 3273876036 T^{9} + 25034154159 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 11 T + 168 T^{2} + 1664 T^{3} + 24431 T^{4} + 215238 T^{5} + 2704649 T^{6} + 19156182 T^{7} + 193517951 T^{8} + 1173068416 T^{9} + 10540696488 T^{10} + 61424653939 T^{11} + 496981290961 T^{12} \))(\( 1 - 7 T + 132 T^{2} - 2332 T^{3} + 17469 T^{4} - 192764 T^{5} + 2578631 T^{6} - 17155996 T^{7} + 138371949 T^{8} - 1643987708 T^{9} + 8281975812 T^{10} - 39088416143 T^{11} + 496981290961 T^{12} \))(\( 1 + 18 T + 610 T^{2} + 9020 T^{3} + 168235 T^{4} + 2071474 T^{5} + 27710822 T^{6} + 284522220 T^{7} + 3001802745 T^{8} + 25322477580 T^{9} + 219497421062 T^{10} + 1460324954306 T^{11} + 10555440914635 T^{12} + 50368216229980 T^{13} + 303158587486210 T^{14} + 796164028119522 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 22 T + 490 T^{2} + 6460 T^{3} + 87855 T^{4} + 831766 T^{5} + 8879342 T^{6} + 71319460 T^{7} + 754689725 T^{8} + 6347431940 T^{9} + 70333267982 T^{10} + 586369245254 T^{11} + 5512219583055 T^{12} + 36073024040540 T^{13} + 243520832570890 T^{14} + 973089367701638 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 22 T + 490 T^{2} - 6460 T^{3} + 87855 T^{4} - 831766 T^{5} + 8879342 T^{6} - 71319460 T^{7} + 754689725 T^{8} - 6347431940 T^{9} + 70333267982 T^{10} - 586369245254 T^{11} + 5512219583055 T^{12} - 36073024040540 T^{13} + 243520832570890 T^{14} - 973089367701638 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 18 T + 610 T^{2} - 9020 T^{3} + 168235 T^{4} - 2071474 T^{5} + 27710822 T^{6} - 284522220 T^{7} + 3001802745 T^{8} - 25322477580 T^{9} + 219497421062 T^{10} - 1460324954306 T^{11} + 10555440914635 T^{12} - 50368216229980 T^{13} + 303158587486210 T^{14} - 796164028119522 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 9 T + 372 T^{2} + 2643 T^{3} + 73581 T^{4} + 535602 T^{5} + 10979711 T^{6} + 76743645 T^{7} + 1215698823 T^{8} + 7728502730 T^{9} + 108197195247 T^{10} + 607886412045 T^{11} + 7740355883959 T^{12} + 33604869764082 T^{13} + 410880678316869 T^{14} + 1313521552009923 T^{15} + 16454056581136788 T^{16} + 35429299251318729 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 9 T + 372 T^{2} - 2643 T^{3} + 73581 T^{4} - 535602 T^{5} + 10979711 T^{6} - 76743645 T^{7} + 1215698823 T^{8} - 7728502730 T^{9} + 108197195247 T^{10} - 607886412045 T^{11} + 7740355883959 T^{12} - 33604869764082 T^{13} + 410880678316869 T^{14} - 1313521552009923 T^{15} + 16454056581136788 T^{16} - 35429299251318729 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 24 T + 837 T^{2} - 14680 T^{3} + 302739 T^{4} - 4305936 T^{5} + 67195180 T^{6} - 818298864 T^{7} + 10619912265 T^{8} - 114331264488 T^{9} + 1295441020815 T^{10} - 12551862314280 T^{11} + 127447375065734 T^{12} - 1117115745970920 T^{13} + 10261188325875615 T^{14} - 80599997194840872 T^{15} + 666317094729485865 T^{16} - 4569429503625165936 T^{17} + 33394747302756767980 T^{18} - \)\(19\!\cdots\!44\)\( T^{19} + \)\(11\!\cdots\!59\)\( T^{20} - \)\(51\!\cdots\!20\)\( T^{21} + \)\(26\!\cdots\!37\)\( T^{22} - \)\(66\!\cdots\!36\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 837 T^{2} + 14680 T^{3} + 302739 T^{4} + 4305936 T^{5} + 67195180 T^{6} + 818298864 T^{7} + 10619912265 T^{8} + 114331264488 T^{9} + 1295441020815 T^{10} + 12551862314280 T^{11} + 127447375065734 T^{12} + 1117115745970920 T^{13} + 10261188325875615 T^{14} + 80599997194840872 T^{15} + 666317094729485865 T^{16} + 4569429503625165936 T^{17} + 33394747302756767980 T^{18} + \)\(19\!\cdots\!44\)\( T^{19} + \)\(11\!\cdots\!59\)\( T^{20} + \)\(51\!\cdots\!20\)\( T^{21} + \)\(26\!\cdots\!37\)\( T^{22} + \)\(66\!\cdots\!36\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))
$97$ (\( 1 + 12 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 9 T + 213 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 + 23 T + 323 T^{2} + 2231 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 199 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( 1 - 21 T + 293 T^{2} - 2037 T^{3} + 9409 T^{4} \))(\( 1 - 11 T + 220 T^{2} - 1067 T^{3} + 9409 T^{4} \))(\( 1 + 24 T + 293 T^{2} + 2328 T^{3} + 9409 T^{4} \))(\( 1 - 24 T + 293 T^{2} - 2328 T^{3} + 9409 T^{4} \))(\( 1 + T + 183 T^{2} + 97 T^{3} + 9409 T^{4} \))(\( 1 + 21 T + 293 T^{2} + 2037 T^{3} + 9409 T^{4} \))(\( 1 + 11 T + 220 T^{2} + 1067 T^{3} + 9409 T^{4} \))(\( 1 + 23 T + 319 T^{2} + 2231 T^{3} + 9409 T^{4} \))(\( 1 - 9 T + 213 T^{2} - 873 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 199 T^{2} + 970 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 291 T^{2} + 1792 T^{3} + 28227 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 - 5 T + 270 T^{2} - 872 T^{3} + 26190 T^{4} - 47045 T^{5} + 912673 T^{6} \))(\( 1 + 12 T + 291 T^{2} + 2136 T^{3} + 28227 T^{4} + 112908 T^{5} + 912673 T^{6} \))(\( 1 - 12 T + 291 T^{2} - 2136 T^{3} + 28227 T^{4} - 112908 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 291 T^{2} - 1792 T^{3} + 28227 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 - 22 T + 322 T^{2} - 2860 T^{3} + 26911 T^{4} - 277420 T^{5} + 3029698 T^{6} - 20078806 T^{7} + 88529281 T^{8} \))(\( 1 - 5 T + 304 T^{2} - 1307 T^{3} + 40546 T^{4} - 126779 T^{5} + 2860336 T^{6} - 4563365 T^{7} + 88529281 T^{8} \))(\( 1 + 5 T + 304 T^{2} + 1307 T^{3} + 40546 T^{4} + 126779 T^{5} + 2860336 T^{6} + 4563365 T^{7} + 88529281 T^{8} \))(\( 1 + 22 T + 322 T^{2} + 2860 T^{3} + 26911 T^{4} + 277420 T^{5} + 3029698 T^{6} + 20078806 T^{7} + 88529281 T^{8} \))(\( 1 + 7 T + 79 T^{2} - 2035 T^{3} - 446 T^{4} + 9927 T^{5} + 3506719 T^{6} + 962919 T^{7} - 4196414 T^{8} - 1857289555 T^{9} + 6993813199 T^{10} + 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 - 25 T + 405 T^{2} - 3629 T^{3} + 35990 T^{4} - 339825 T^{5} + 4173725 T^{6} - 32963025 T^{7} + 338629910 T^{8} - 3312090317 T^{9} + 35854358805 T^{10} - 214683506425 T^{11} + 832972004929 T^{12} \))(\( 1 + 18 T + 405 T^{2} + 6733 T^{3} + 90915 T^{4} + 1078941 T^{5} + 11856478 T^{6} + 104657277 T^{7} + 855419235 T^{8} + 6145027309 T^{9} + 35854358805 T^{10} + 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 - 18 T + 405 T^{2} - 6733 T^{3} + 90915 T^{4} - 1078941 T^{5} + 11856478 T^{6} - 104657277 T^{7} + 855419235 T^{8} - 6145027309 T^{9} + 35854358805 T^{10} - 154572124626 T^{11} + 832972004929 T^{12} \))(\( 1 + 25 T + 405 T^{2} + 3629 T^{3} + 35990 T^{4} + 339825 T^{5} + 4173725 T^{6} + 32963025 T^{7} + 338629910 T^{8} + 3312090317 T^{9} + 35854358805 T^{10} + 214683506425 T^{11} + 832972004929 T^{12} \))(\( 1 - 7 T + 79 T^{2} + 2035 T^{3} - 446 T^{4} - 9927 T^{5} + 3506719 T^{6} - 962919 T^{7} - 4196414 T^{8} + 1857289555 T^{9} + 6993813199 T^{10} - 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 + 26 T + 718 T^{2} + 12472 T^{3} + 216306 T^{4} + 2897546 T^{5} + 38440800 T^{6} + 419299866 T^{7} + 4513191899 T^{8} + 40672087002 T^{9} + 361689487200 T^{10} + 2644512000458 T^{11} + 19149414655986 T^{12} + 107101307685304 T^{13} + 598073899539022 T^{14} + 2100755396430938 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 6 T + 398 T^{2} + 112 T^{3} + 62206 T^{4} - 357874 T^{5} + 6478280 T^{6} - 69951234 T^{7} + 634218239 T^{8} - 6785269698 T^{9} + 60954136520 T^{10} - 326621937202 T^{11} + 5507052453886 T^{12} + 961782108784 T^{13} + 331522857961742 T^{14} + 484789706868678 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 6 T + 398 T^{2} - 112 T^{3} + 62206 T^{4} + 357874 T^{5} + 6478280 T^{6} + 69951234 T^{7} + 634218239 T^{8} + 6785269698 T^{9} + 60954136520 T^{10} + 326621937202 T^{11} + 5507052453886 T^{12} - 961782108784 T^{13} + 331522857961742 T^{14} - 484789706868678 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 26 T + 718 T^{2} - 12472 T^{3} + 216306 T^{4} - 2897546 T^{5} + 38440800 T^{6} - 419299866 T^{7} + 4513191899 T^{8} - 40672087002 T^{9} + 361689487200 T^{10} - 2644512000458 T^{11} + 19149414655986 T^{12} - 107101307685304 T^{13} + 598073899539022 T^{14} - 2100755396430938 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 12 T + 465 T^{2} - 3008 T^{3} + 85884 T^{4} - 289680 T^{5} + 11819484 T^{6} - 37221696 T^{7} + 1565106102 T^{8} - 5123919560 T^{9} + 151815291894 T^{10} - 350218937664 T^{11} + 10787323920732 T^{12} - 25645162120080 T^{13} + 737515130632188 T^{14} - 2505579790826432 T^{15} + 37571202282322545 T^{16} - 94049203132523532 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 12 T + 465 T^{2} + 3008 T^{3} + 85884 T^{4} + 289680 T^{5} + 11819484 T^{6} + 37221696 T^{7} + 1565106102 T^{8} + 5123919560 T^{9} + 151815291894 T^{10} + 350218937664 T^{11} + 10787323920732 T^{12} + 25645162120080 T^{13} + 737515130632188 T^{14} + 2505579790826432 T^{15} + 37571202282322545 T^{16} + 94049203132523532 T^{17} + 760231058654565217 T^{18} \))(\( 1 - 18 T + 639 T^{2} - 8555 T^{3} + 176328 T^{4} - 2012139 T^{5} + 31794931 T^{6} - 341341614 T^{7} + 4517654391 T^{8} - 46721541944 T^{9} + 533955294414 T^{10} - 5279195410578 T^{11} + 54692202876544 T^{12} - 512081954826066 T^{13} + 5023985365141326 T^{14} - 42641489850656312 T^{15} + 399944695041722871 T^{16} - 2931216583291554798 T^{17} + 26484287421649214899 T^{18} - \)\(16\!\cdots\!07\)\( T^{19} + \)\(13\!\cdots\!08\)\( T^{20} - \)\(65\!\cdots\!35\)\( T^{21} + \)\(47\!\cdots\!11\)\( T^{22} - \)\(12\!\cdots\!54\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 639 T^{2} + 8555 T^{3} + 176328 T^{4} + 2012139 T^{5} + 31794931 T^{6} + 341341614 T^{7} + 4517654391 T^{8} + 46721541944 T^{9} + 533955294414 T^{10} + 5279195410578 T^{11} + 54692202876544 T^{12} + 512081954826066 T^{13} + 5023985365141326 T^{14} + 42641489850656312 T^{15} + 399944695041722871 T^{16} + 2931216583291554798 T^{17} + 26484287421649214899 T^{18} + \)\(16\!\cdots\!07\)\( T^{19} + \)\(13\!\cdots\!08\)\( T^{20} + \)\(65\!\cdots\!35\)\( T^{21} + \)\(47\!\cdots\!11\)\( T^{22} + \)\(12\!\cdots\!54\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))
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