Properties

Label 1350.2
Level 1350
Weight 2
Dimension 11798
Nonzero newspaces 18
Sturm bound 194400
Trace bound 5

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 1350 = 2 \cdot 3^{3} \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 18 \)
Sturm bound: \(194400\)
Trace bound: \(5\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1350))\).

Total New Old
Modular forms 50280 11798 38482
Cusp forms 46921 11798 35123
Eisenstein series 3359 0 3359

Trace form

\( 11798q + q^{2} + q^{4} - 6q^{6} - 4q^{7} - 5q^{8} - 12q^{9} + O(q^{10}) \) \( 11798q + q^{2} + q^{4} - 6q^{6} - 4q^{7} - 5q^{8} - 12q^{9} - 8q^{10} - 50q^{11} - 3q^{12} - 42q^{13} - 36q^{14} + q^{16} - 54q^{17} + 6q^{18} - 30q^{19} - 8q^{20} + 24q^{21} - 16q^{22} - 30q^{23} - 16q^{25} + 32q^{26} + 27q^{27} + 2q^{28} - 12q^{29} - 36q^{31} + q^{32} + 75q^{33} + 58q^{34} + 96q^{35} + 54q^{36} + 60q^{37} + 227q^{38} + 198q^{39} + 32q^{40} + 298q^{41} + 168q^{42} + 228q^{43} + 80q^{44} + 120q^{45} + 96q^{46} + 378q^{47} + 42q^{48} + 213q^{49} + 160q^{50} + 192q^{51} + 54q^{52} + 336q^{53} + 108q^{54} + 32q^{55} + 76q^{56} + 135q^{57} + 46q^{58} + 65q^{59} + 6q^{61} + 56q^{62} - 6q^{63} - 5q^{64} + 144q^{65} + 114q^{67} + 57q^{68} + 18q^{69} + 128q^{70} + 16q^{71} + 24q^{72} + 134q^{73} + 146q^{74} + 72q^{75} + 39q^{76} + 548q^{77} + 36q^{78} + 364q^{79} + 192q^{81} + 126q^{82} + 580q^{83} + 208q^{85} + 34q^{86} + 276q^{87} + 11q^{88} + 505q^{89} + 206q^{91} - 8q^{92} + 282q^{93} - 34q^{94} + 136q^{95} + 6q^{96} + 84q^{97} - 105q^{98} + 204q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1350))\)

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
1350.2.a \(\chi_{1350}(1, \cdot)\) 1350.2.a.a 1 1
1350.2.a.b 1
1350.2.a.c 1
1350.2.a.d 1
1350.2.a.e 1
1350.2.a.f 1
1350.2.a.g 1
1350.2.a.h 1
1350.2.a.i 1
1350.2.a.j 1
1350.2.a.k 1
1350.2.a.l 1
1350.2.a.m 1
1350.2.a.n 1
1350.2.a.o 1
1350.2.a.p 1
1350.2.a.q 1
1350.2.a.r 1
1350.2.a.s 1
1350.2.a.t 1
1350.2.a.u 1
1350.2.a.v 1
1350.2.a.w 2
1350.2.a.x 2
1350.2.c \(\chi_{1350}(649, \cdot)\) 1350.2.c.a 2 1
1350.2.c.b 2
1350.2.c.c 2
1350.2.c.d 2
1350.2.c.e 2
1350.2.c.f 2
1350.2.c.g 2
1350.2.c.h 2
1350.2.c.i 2
1350.2.c.j 2
1350.2.c.k 2
1350.2.c.l 2
1350.2.e \(\chi_{1350}(451, \cdot)\) 1350.2.e.a 2 2
1350.2.e.b 2
1350.2.e.c 2
1350.2.e.d 2
1350.2.e.e 2
1350.2.e.f 2
1350.2.e.g 2
1350.2.e.h 2
1350.2.e.i 2
1350.2.e.j 4
1350.2.e.k 4
1350.2.e.l 4
1350.2.e.m 4
1350.2.e.n 4
1350.2.f \(\chi_{1350}(107, \cdot)\) 1350.2.f.a 8 2
1350.2.f.b 8
1350.2.f.c 8
1350.2.f.d 8
1350.2.f.e 8
1350.2.f.f 8
1350.2.h \(\chi_{1350}(271, \cdot)\) n/a 160 4
1350.2.j \(\chi_{1350}(199, \cdot)\) 1350.2.j.a 4 2
1350.2.j.b 4
1350.2.j.c 4
1350.2.j.d 4
1350.2.j.e 4
1350.2.j.f 8
1350.2.j.g 8
1350.2.l \(\chi_{1350}(151, \cdot)\) n/a 342 6
1350.2.m \(\chi_{1350}(109, \cdot)\) n/a 160 4
1350.2.q \(\chi_{1350}(143, \cdot)\) 1350.2.q.a 8 4
1350.2.q.b 8
1350.2.q.c 8
1350.2.q.d 8
1350.2.q.e 8
1350.2.q.f 8
1350.2.q.g 8
1350.2.q.h 16
1350.2.r \(\chi_{1350}(91, \cdot)\) n/a 240 8
1350.2.u \(\chi_{1350}(49, \cdot)\) n/a 324 6
1350.2.w \(\chi_{1350}(53, \cdot)\) n/a 320 8
1350.2.z \(\chi_{1350}(19, \cdot)\) n/a 240 8
1350.2.bb \(\chi_{1350}(257, \cdot)\) n/a 648 12
1350.2.bc \(\chi_{1350}(31, \cdot)\) n/a 2160 24
1350.2.bd \(\chi_{1350}(17, \cdot)\) n/a 480 16
1350.2.bf \(\chi_{1350}(79, \cdot)\) n/a 2160 24
1350.2.bi \(\chi_{1350}(23, \cdot)\) n/a 4320 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1350))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(1350)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(50))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(54))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(135))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(150))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(225))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(270))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(450))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(675))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))
$3$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$5$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$7$ (\( 1 + 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 5 T^{2} + 49 T^{4} \))(\( 1 - 5 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( ( 1 - 4 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( ( 1 - 4 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + T + 7 T^{2} ) \))(\( ( 1 - T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( ( 1 - T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( 1 + 4 T + 4 T^{2} - 8 T^{3} - 17 T^{4} - 56 T^{5} + 196 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 4 T^{2} - 8 T^{3} - 17 T^{4} - 56 T^{5} + 196 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 - T - 5 T^{2} + 8 T^{3} - 20 T^{4} + 56 T^{5} - 245 T^{6} - 343 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 4 T^{2} + 8 T^{3} - 17 T^{4} + 56 T^{5} + 196 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 4 T^{2} + 8 T^{3} - 17 T^{4} + 56 T^{5} + 196 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( ( 1 + 2 T + 2 T^{2} + 12 T^{3} + 71 T^{4} + 84 T^{5} + 98 T^{6} + 686 T^{7} + 2401 T^{8} )^{2} \))(\( 1 + 28 T^{4} + 3270 T^{8} + 67228 T^{12} + 5764801 T^{16} \))(\( ( 1 + 49 T^{4} )^{4} \))(\( ( 1 + 23 T^{4} + 2401 T^{8} )^{2} \))(\( 1 + 28 T^{4} + 3270 T^{8} + 67228 T^{12} + 5764801 T^{16} \))(\( ( 1 - 2 T + 7 T^{2} )^{4}( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( ( 1 + 2 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( 1 + 11 T^{2} + T^{4} + 242 T^{6} + 6070 T^{8} + 11858 T^{10} + 2401 T^{12} + 1294139 T^{14} + 5764801 T^{16} \))(\( 1 + 8 T^{2} + 46 T^{4} - 640 T^{6} - 5213 T^{8} - 31360 T^{10} + 110446 T^{12} + 941192 T^{14} + 5764801 T^{16} \))(\( 1 - 36 T^{2} + 634 T^{4} - 7272 T^{6} + 59571 T^{8} - 356328 T^{10} + 1522234 T^{12} - 4235364 T^{14} + 5764801 T^{16} \))(\( ( 1 - 94 T^{4} + 2401 T^{8} )( 1 + 71 T^{4} + 2401 T^{8} ) \))(\( ( 1 - 49 T^{4} + 2401 T^{8} )^{2} \))(\( 1 + 36 T^{2} + 634 T^{4} + 7272 T^{6} + 59571 T^{8} + 356328 T^{10} + 1522234 T^{12} + 4235364 T^{14} + 5764801 T^{16} \))(\( ( 1 - 49 T^{4} + 2401 T^{8} )^{2} \))(\( ( 1 + 23 T^{4} + 2401 T^{8} )( 1 + 71 T^{4} + 2401 T^{8} ) \))(\( 1 - 8 T + 32 T^{2} - 64 T^{3} - 7 T^{4} + 464 T^{5} - 1440 T^{6} + 2472 T^{7} - 4016 T^{8} + 17304 T^{9} - 70560 T^{10} + 159152 T^{11} - 16807 T^{12} - 1075648 T^{13} + 3764768 T^{14} - 6588344 T^{15} + 5764801 T^{16} \))(\( 1 + 8 T + 32 T^{2} + 32 T^{3} - 168 T^{4} - 752 T^{5} - 128 T^{6} + 4696 T^{7} + 9614 T^{8} - 32960 T^{9} - 159808 T^{10} - 211120 T^{11} + 686208 T^{12} + 2864720 T^{13} + 4398240 T^{14} - 5724096 T^{15} - 29956541 T^{16} - 40068672 T^{17} + 215513760 T^{18} + 982598960 T^{19} + 1647585408 T^{20} - 3548293840 T^{21} - 18801251392 T^{22} - 27143977280 T^{23} + 55422796814 T^{24} + 189500538472 T^{25} - 36156831872 T^{26} - 1486949710736 T^{27} - 2325336249768 T^{28} + 3100448333024 T^{29} + 21703138331168 T^{30} + 37980492079544 T^{31} + 33232930569601 T^{32} \))
$11$ (\( 1 - 3 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 + 3 T^{2} + 121 T^{4} \))(\( 1 + 3 T^{2} + 121 T^{4} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T - 13 T^{2} - 10 T^{3} + 124 T^{4} - 110 T^{5} - 1573 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} \))(\( 1 + 3 T - 7 T^{2} - 18 T^{3} + 36 T^{4} - 198 T^{5} - 847 T^{6} + 3993 T^{7} + 14641 T^{8} \))(\( 1 + 2 T - 13 T^{2} - 10 T^{3} + 124 T^{4} - 110 T^{5} - 1573 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} \))(\( ( 1 - 16 T^{2} + 231 T^{4} - 1936 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 13 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 + 5 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 11 T^{2} )^{8} \))(\( ( 1 - 13 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 22 T^{2} + 267 T^{4} - 2662 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 3 T - 7 T^{2} - 18 T^{3} + 36 T^{4} - 198 T^{5} - 847 T^{6} + 3993 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 12 T + 74 T^{2} - 312 T^{3} + 1083 T^{4} - 3432 T^{5} + 8954 T^{6} - 15972 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 + 22 T^{2} + 199 T^{4} + 264 T^{5} + 1138 T^{6} + 6840 T^{7} + 10132 T^{8} + 75240 T^{9} + 137698 T^{10} + 351384 T^{11} + 2913559 T^{12} + 38974342 T^{14} + 214358881 T^{16} )^{2} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 - 25 T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - 25 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 25 T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 25 T^{2} + 169 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 20 T^{2} + 231 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( 1 + 4 T - 8 T^{2} - 8 T^{3} + 199 T^{4} - 104 T^{5} - 1352 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 2 T + 10 T^{2} - 64 T^{3} - 185 T^{4} - 832 T^{5} + 1690 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - 20 T^{2} + 231 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( 1 - 4 T - 8 T^{2} + 8 T^{3} + 199 T^{4} + 104 T^{5} - 1352 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( ( 1 - 334 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 - 49 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 - 337 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 + 169 T^{4} )^{4} \))(\( ( 1 - 49 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 336 T^{3} + 1343 T^{4} + 4368 T^{5} + 12168 T^{6} + 26364 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - T^{2} + 169 T^{4} )( 1 + 23 T^{2} + 169 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - T^{2} + 169 T^{4} )( 1 + 23 T^{2} + 169 T^{4} ) \))(\( 1 - 16 T^{2} - 14 T^{4} + 1088 T^{6} + 1075 T^{8} + 183872 T^{10} - 399854 T^{12} - 77228944 T^{14} + 815730721 T^{16} \))(\( 1 + 32 T^{2} + 526 T^{4} + 5120 T^{6} + 46387 T^{8} + 865280 T^{10} + 15023086 T^{12} + 154457888 T^{14} + 815730721 T^{16} \))(\( 1 - 36 T^{2} + 682 T^{4} - 9000 T^{6} + 106947 T^{8} - 1521000 T^{10} + 19478602 T^{12} - 173765124 T^{14} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 + 36 T^{2} + 682 T^{4} + 9000 T^{6} + 106947 T^{8} + 1521000 T^{10} + 19478602 T^{12} + 173765124 T^{14} + 815730721 T^{16} \))(\( ( 1 - 337 T^{4} + 28561 T^{8} )( 1 + 191 T^{4} + 28561 T^{8} ) \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 - 48 T^{3} - 208 T^{4} - 648 T^{5} + 1152 T^{6} + 768 T^{7} + 58078 T^{8} - 38784 T^{9} + 412704 T^{10} + 164616 T^{11} + 6437888 T^{12} - 1602600 T^{13} + 36461952 T^{14} - 584300928 T^{15} - 665621597 T^{16} - 7595912064 T^{17} + 6162069888 T^{18} - 3520912200 T^{19} + 183872519168 T^{20} + 61120768488 T^{21} + 1992043381536 T^{22} - 2433638483328 T^{23} + 47376008814238 T^{24} + 8144255518464 T^{25} + 158812982610048 T^{26} - 1161319935335976 T^{27} - 4846001705476048 T^{28} - 14538005116428144 T^{29} + 665416609183179841 T^{32} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( 1 - 25 T^{2} + 289 T^{4} \))(\( ( 1 - 17 T^{2} )^{2} \))(\( 1 - 25 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 17 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 17 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 - 25 T^{2} + 289 T^{4} \))(\( ( 1 - 17 T^{2} )^{2} \))(\( 1 - 25 T^{2} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} - 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 9 T + 46 T^{2} + 153 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} + 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 124 T^{4} - 77946 T^{8} - 10356604 T^{12} + 6975757441 T^{16} \))(\( 1 + 796 T^{4} + 309894 T^{8} + 66482716 T^{12} + 6975757441 T^{16} \))(\( ( 1 + 47 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( 1 + 796 T^{4} + 309894 T^{8} + 66482716 T^{12} + 6975757441 T^{16} \))(\( 1 - 802 T^{4} + 296739 T^{8} - 66983842 T^{12} + 6975757441 T^{16} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 - 11 T^{2} - 60 T^{4} - 3179 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 289 T^{4} )^{4} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 289 T^{4} )^{4} \))(\( ( 1 + 47 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 + 47 T^{4} + 83521 T^{8} )^{2} \))(\( 1 + 188 T^{4} - 45306 T^{8} + 15701948 T^{12} + 6975757441 T^{16} \))(\( 1 - 356 T^{4} + 24298 T^{8} + 31798576 T^{12} - 15547912973 T^{16} + 2655848866096 T^{20} + 169496954301418 T^{24} - 207413516453794916 T^{28} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 10 T + 57 T^{2} - 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - T + 30 T^{2} - 19 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 10 T + 57 T^{2} - 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 714 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 37 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 20 T^{2} + 714 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 1410 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{4} \))(\( ( 1 - 7 T + 19 T^{2} )^{4} \))(\( ( 1 + 5 T + 19 T^{2} )^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{4} \))(\( ( 1 + T + 30 T^{2} + 19 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 + 10 T + 57 T^{2} + 190 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 13 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 + 11 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 32 T^{2} + 594 T^{4} - 11552 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 100 T^{2} + 5038 T^{4} - 162424 T^{6} + 3656035 T^{8} - 58635064 T^{10} + 656557198 T^{12} - 4704588100 T^{14} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 - 9 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( ( 1 - 2 T + 23 T^{2} )^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( 1 - 37 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 + 35 T^{2} + 529 T^{4} \))(\( 1 - 37 T^{2} + 529 T^{4} \))(\( 1 + 35 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 + 35 T^{2} + 529 T^{4} \))(\( 1 - 37 T^{2} + 529 T^{4} \))(\( 1 + 35 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 - 37 T^{2} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + 9 T + 58 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 10 T^{2} + 80 T^{3} - 221 T^{4} + 1840 T^{5} - 5290 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 40 T^{2} + 1071 T^{4} - 21160 T^{6} + 279841 T^{8} \))(\( 1 - 3 T - 31 T^{2} + 18 T^{3} + 864 T^{4} + 414 T^{5} - 16399 T^{6} - 36501 T^{7} + 279841 T^{8} \))(\( 1 + 4 T - 10 T^{2} - 80 T^{3} - 221 T^{4} - 1840 T^{5} - 5290 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 40 T^{2} + 1071 T^{4} - 21160 T^{6} + 279841 T^{8} \))(\( ( 1 + 706 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 + 311 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 + 311 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 - 958 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 + 311 T^{4} + 279841 T^{8} )^{2} \))(\( 1 - 1522 T^{4} + 1068819 T^{8} - 425918002 T^{12} + 78310985281 T^{16} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{2} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( 1 - 35 T^{2} + 696 T^{4} - 18515 T^{6} + 279841 T^{8} \))(\( 1 + 71 T^{2} + 2797 T^{4} + 84206 T^{6} + 2089006 T^{8} + 44544974 T^{10} + 782715277 T^{12} + 10510548119 T^{14} + 78310985281 T^{16} \))(\( ( 1 + 40 T^{2} + 1071 T^{4} + 21160 T^{6} + 279841 T^{8} )^{2} \))(\( 1 - 108 T^{2} + 5818 T^{4} - 208440 T^{6} + 5501811 T^{8} - 110264760 T^{10} + 1628114938 T^{12} - 15987876012 T^{14} + 78310985281 T^{16} \))(\( 1 - 311 T^{4} - 183120 T^{8} - 87030551 T^{12} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 + 108 T^{2} + 5818 T^{4} + 208440 T^{6} + 5501811 T^{8} + 110264760 T^{10} + 1628114938 T^{12} + 15987876012 T^{14} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 - 967 T^{4} + 655248 T^{8} - 270606247 T^{12} + 78310985281 T^{16} \))(\( 1 + 24 T + 288 T^{2} + 2304 T^{3} + 14956 T^{4} + 93528 T^{5} + 591552 T^{6} + 3510696 T^{7} + 18949162 T^{8} + 98431632 T^{9} + 520135776 T^{10} + 2742734952 T^{11} + 13919721136 T^{12} + 68549757432 T^{13} + 335617355232 T^{14} + 1641179221488 T^{15} + 7932015899923 T^{16} + 37747122094224 T^{17} + 177541580917728 T^{18} + 834044898675144 T^{19} + 3895308682419376 T^{20} + 17653182909160536 T^{21} + 76998762000864864 T^{22} + 335142525423339504 T^{23} + 1483927546469284522 T^{24} + 6323299443987508248 T^{25} + 24505935561456493248 T^{26} + 89114391038173764456 T^{27} + \)\(32\!\cdots\!76\)\( T^{28} + \)\(11\!\cdots\!32\)\( T^{29} + \)\(33\!\cdots\!92\)\( T^{30} + \)\(63\!\cdots\!68\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 + 6 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 9 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 9 T + 29 T^{2} )^{2} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 - 3 T - 20 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} \))(\( 1 + 3 T - 43 T^{2} - 18 T^{3} + 1602 T^{4} - 522 T^{5} - 36163 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} \))(\( ( 1 + 64 T^{2} + 2514 T^{4} + 53824 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 6 T + 40 T^{2} + 174 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 + 31 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 50 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 6 T + 40 T^{2} - 174 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 + 106 T^{2} + 4467 T^{4} + 89146 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 3 T - 20 T^{2} + 87 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 3 T - 43 T^{2} + 18 T^{3} + 1602 T^{4} + 522 T^{5} - 36163 T^{6} - 73167 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 18 T + 188 T^{2} - 1404 T^{3} + 8259 T^{4} - 40716 T^{5} + 158108 T^{6} - 439002 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 17 T^{2} - 552 T^{4} + 14297 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} - 741 T^{4} - 8410 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 18 T + 188 T^{2} + 1404 T^{3} + 8259 T^{4} + 40716 T^{5} + 158108 T^{6} + 439002 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 1275 T^{4} - 38686 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 1275 T^{4} - 38686 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 106 T^{2} + 6769 T^{4} - 295210 T^{6} + 9797332 T^{8} - 248271610 T^{10} + 4787585089 T^{12} - 63051272026 T^{14} + 500246412961 T^{16} \))(\( 1 - 152 T^{2} + 12036 T^{4} - 646864 T^{6} + 26386346 T^{8} - 870522600 T^{10} + 24736791952 T^{12} - 660065237288 T^{14} + 18313327590963 T^{16} - 555114864559208 T^{18} + 17495862948602512 T^{20} - 517807143937554600 T^{22} + 13199674937647830506 T^{24} - \)\(27\!\cdots\!64\)\( T^{26} + \)\(42\!\cdots\!76\)\( T^{28} - \)\(45\!\cdots\!12\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 10 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 8 T - 8 T^{2} + 80 T^{3} + 2239 T^{4} + 2480 T^{5} - 7688 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 - 2 T - 26 T^{2} + 64 T^{3} - 185 T^{4} + 1984 T^{5} - 24986 T^{6} - 59582 T^{7} + 923521 T^{8} \))(\( 1 + 8 T - 8 T^{2} + 80 T^{3} + 2239 T^{4} + 2480 T^{5} - 7688 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( ( 1 + 4 T - 9 T^{2} + 124 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{8} \))(\( ( 1 + 5 T + 31 T^{2} )^{8} \))(\( ( 1 - 7 T + 31 T^{2} )^{8} \))(\( ( 1 + 2 T + 31 T^{2} )^{8} \))(\( ( 1 - 2 T + 57 T^{2} - 62 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T - 26 T^{2} + 64 T^{3} - 185 T^{4} + 1984 T^{5} - 24986 T^{6} - 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 10 T + 40 T^{2} + 20 T^{3} - 461 T^{4} + 620 T^{5} + 38440 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 7 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 - 10 T + 40 T^{2} + 20 T^{3} - 461 T^{4} + 620 T^{5} + 38440 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 4 T - 44 T^{2} + 8 T^{3} + 2143 T^{4} + 248 T^{5} - 42284 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 4 T - 36 T^{2} - 280 T^{3} - 244 T^{4} + 4476 T^{5} + 26680 T^{6} + 13564 T^{7} - 525585 T^{8} + 420484 T^{9} + 25639480 T^{10} + 133344516 T^{11} - 225339124 T^{12} - 8016162280 T^{13} - 31950132516 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T^{2} + 1369 T^{4} \))(\( 1 - 2 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( 1 + 47 T^{2} + 1369 T^{4} \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( 1 - 25 T^{2} + 1369 T^{4} \))(\( 1 + 47 T^{2} + 1369 T^{4} \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{4} \))(\( ( 1 + 8 T + 36 T^{2} + 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{4} \))(\( ( 1 + 8 T + 37 T^{2} )^{4} \))(\( ( 1 - 8 T + 36 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 12 T^{3} - 1294 T^{4} + 444 T^{5} + 98568 T^{6} + 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( 1 - 1442 T^{4} + 2270595 T^{8} - 2702540162 T^{12} + 3512479453921 T^{16} \))(\( ( 1 + 1369 T^{4} )^{4} \))(\( ( 1 - 2737 T^{4} + 1874161 T^{8} )^{2} \))(\( 1 - 1442 T^{4} + 2270595 T^{8} - 2702540162 T^{12} + 3512479453921 T^{16} \))(\( ( 1 + 1369 T^{4} )^{4} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} - 702 T^{4} - 10952 T^{6} + 1874161 T^{8} )^{2} \))(\( 1 - 644 T^{4} - 1762266 T^{8} - 1206959684 T^{12} + 3512479453921 T^{16} \))(\( ( 1 + 1106 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( 1 - 644 T^{4} - 1762266 T^{8} - 1206959684 T^{12} + 3512479453921 T^{16} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 576 T^{3} + 1060 T^{4} - 8640 T^{5} + 165888 T^{6} + 634752 T^{7} - 2979546 T^{8} + 23485824 T^{9} + 227100672 T^{10} - 437641920 T^{11} + 1986610660 T^{12} + 39942119232 T^{13} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 6 T^{2} + 1681 T^{4} \))(\( 1 + 6 T^{2} + 1681 T^{4} \))(\( ( 1 + 12 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 12 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T + 41 T^{2} )^{2} \))(\( 1 + 11 T + 80 T^{2} + 451 T^{3} + 1681 T^{4} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 + 11 T + 80 T^{2} + 451 T^{3} + 1681 T^{4} \))(\( ( 1 + T - 40 T^{2} + 41 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + T - 40 T^{2} + 41 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 52 T^{2} + 2838 T^{4} - 87412 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 26 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 41 T^{2} )^{8} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 136 T^{2} + 7890 T^{4} - 228616 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 3 T + 44 T^{2} - 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 15 T + 116 T^{2} + 615 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 3 T + 44 T^{2} - 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 3 T + 44 T^{2} - 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 12 T + 89 T^{2} - 492 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 21 T + 188 T^{2} - 861 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 6 T + 65 T^{2} + 318 T^{3} + 1620 T^{4} + 13038 T^{5} + 109265 T^{6} + 413526 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 12 T + 154 T^{2} + 1272 T^{3} + 9001 T^{4} + 62400 T^{5} + 437338 T^{6} + 2866716 T^{7} + 21170932 T^{8} + 117535356 T^{9} + 735165178 T^{10} + 4300670400 T^{11} + 25434674761 T^{12} + 147369087672 T^{13} + 731516053114 T^{14} + 2337051286572 T^{15} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 + 10 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 10 T^{2} + 1849 T^{4} \))(\( 1 + 10 T^{2} + 1849 T^{4} \))(\( 1 - 37 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 85 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 + 35 T^{2} + 1849 T^{4} \))(\( 1 + 35 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 85 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 37 T^{2} + 1849 T^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( ( 1 - 13 T + 43 T^{2} )( 1 + 5 T + 43 T^{2} ) \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 11 T + 78 T^{2} - 473 T^{3} + 1849 T^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 10 T - 5 T^{2} + 190 T^{3} + 4876 T^{4} + 8170 T^{5} - 9245 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( 1 + 10 T - 5 T^{2} + 190 T^{3} + 4876 T^{4} + 8170 T^{5} - 9245 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( 1 + 17 T + 139 T^{2} + 1088 T^{3} + 8224 T^{4} + 46784 T^{5} + 257011 T^{6} + 1351619 T^{7} + 3418801 T^{8} \))(\( 1 - 10 T - 5 T^{2} - 190 T^{3} + 4876 T^{4} - 8170 T^{5} - 9245 T^{6} - 795070 T^{7} + 3418801 T^{8} \))(\( 1 - 10 T - 5 T^{2} - 190 T^{3} + 4876 T^{4} - 8170 T^{5} - 9245 T^{6} - 795070 T^{7} + 3418801 T^{8} \))(\( ( 1 - 12 T + 72 T^{2} - 660 T^{3} + 5906 T^{4} - 28380 T^{5} + 133128 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 - 5444 T^{4} + 14231334 T^{8} - 18611952644 T^{12} + 11688200277601 T^{16} \))(\( ( 1 - 217 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 + 3191 T^{4} + 3418801 T^{8} )^{2} \))(\( 1 - 5444 T^{4} + 14231334 T^{8} - 18611952644 T^{12} + 11688200277601 T^{16} \))(\( ( 1 - 24 T + 288 T^{2} - 2688 T^{3} + 20327 T^{4} - 115584 T^{5} + 532512 T^{6} - 1908168 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 - 35 T^{2} - 624 T^{4} - 64715 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( ( 1 - 61 T^{2} + 1849 T^{4} )( 1 + 83 T^{2} + 1849 T^{4} ) \))(\( 1 + 11 T^{2} - 1223 T^{4} - 25894 T^{6} - 1836194 T^{8} - 47878006 T^{10} - 4181193623 T^{12} + 69534993539 T^{14} + 11688200277601 T^{16} \))(\( 1 + 110 T^{2} + 5977 T^{4} + 266750 T^{6} + 11699428 T^{8} + 493220750 T^{10} + 20434173577 T^{12} + 695349935390 T^{14} + 11688200277601 T^{16} \))(\( 1 - 72 T^{2} + 1633 T^{4} + 6840 T^{6} - 214704 T^{8} + 12647160 T^{10} + 5582902033 T^{12} - 455138139528 T^{14} + 11688200277601 T^{16} \))(\( ( 1 + 23 T^{4} + 3418801 T^{8} )( 1 + 3191 T^{4} + 3418801 T^{8} ) \))(\( ( 1 - 3214 T^{4} + 3418801 T^{8} )( 1 + 3191 T^{4} + 3418801 T^{8} ) \))(\( 1 + 72 T^{2} + 1633 T^{4} - 6840 T^{6} - 214704 T^{8} - 12647160 T^{10} + 5582902033 T^{12} + 455138139528 T^{14} + 11688200277601 T^{16} \))(\( 1 + 3577 T^{4} + 9376128 T^{8} + 12229051177 T^{12} + 11688200277601 T^{16} \))(\( 1 + 217 T^{4} - 3371712 T^{8} + 741879817 T^{12} + 11688200277601 T^{16} \))(\( 1 - 1778 T^{4} - 257517 T^{8} - 6078628178 T^{12} + 11688200277601 T^{16} \))(\( 1 - 96 T^{3} + 854 T^{4} - 1872 T^{5} + 4608 T^{6} - 53616 T^{7} + 4490401 T^{8} + 2573760 T^{9} + 2964096 T^{10} - 348774432 T^{11} - 9048958570 T^{12} - 6137398128 T^{13} + 6878498688 T^{14} + 451002697968 T^{15} - 494432039036 T^{16} + 19393116012624 T^{17} + 12718344074112 T^{18} - 487966112962896 T^{19} - 30936588608074570 T^{20} - 51272786206529376 T^{21} + 18737126928088704 T^{22} + 699595868522752320 T^{23} + 52484706214739808001 T^{24} - 26947005481605774288 T^{25} + 99585710499613819392 T^{26} - \)\(17\!\cdots\!04\)\( T^{27} + \)\(34\!\cdots\!54\)\( T^{28} - \)\(16\!\cdots\!28\)\( T^{29} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 9 T + 47 T^{2} \))(\( 1 - 13 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 13 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( ( 1 - 2 T + 47 T^{2} )^{2} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 - 58 T^{2} + 2209 T^{4} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 - 13 T^{2} + 2209 T^{4} \))(\( 1 - 58 T^{2} + 2209 T^{4} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 - 7 T + 2 T^{2} - 329 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 97 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 2 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 76 T^{2} - 8 T^{3} + 5503 T^{4} - 376 T^{5} - 167884 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 38 T^{2} + 144 T^{3} + 2259 T^{4} + 6768 T^{5} + 83942 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 9 T - 25 T^{2} - 108 T^{3} + 5220 T^{4} - 5076 T^{5} - 55225 T^{6} - 934407 T^{7} + 4879681 T^{8} \))(\( 1 - 4 T - 76 T^{2} + 8 T^{3} + 5503 T^{4} + 376 T^{5} - 167884 T^{6} - 415292 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 38 T^{2} - 144 T^{3} + 2259 T^{4} - 6768 T^{5} + 83942 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))(\( ( 1 - 1054 T^{4} + 4879681 T^{8} )^{2} \))(\( ( 1 - 4249 T^{4} + 4879681 T^{8} )^{2} \))(\( ( 1 - 4249 T^{4} + 4879681 T^{8} )^{2} \))(\( ( 1 + 2209 T^{4} )^{4} \))(\( ( 1 - 4249 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 - 3026 T^{4} + 4575795 T^{8} - 14765914706 T^{12} + 23811286661761 T^{16} \))(\( 1 + 58 T^{2} + 1155 T^{4} + 128122 T^{6} + 4879681 T^{8} \))(\( 1 + 58 T^{2} + 1155 T^{4} + 128122 T^{6} + 4879681 T^{8} \))(\( ( 1 + 47 T^{2} + 2209 T^{4} )^{2} \))(\( 1 - 50 T^{2} + 291 T^{4} - 110450 T^{6} + 4879681 T^{8} \))(\( 1 + 85 T^{2} + 5016 T^{4} + 187765 T^{6} + 4879681 T^{8} \))(\( 1 + 131 T^{2} + 9121 T^{4} + 474482 T^{6} + 21853270 T^{8} + 1048130738 T^{10} + 44507570401 T^{12} + 1412077208099 T^{14} + 23811286661761 T^{16} \))(\( 1 + 68 T^{2} + 2506 T^{4} - 156400 T^{6} - 10608173 T^{8} - 345487600 T^{10} + 12228480586 T^{12} + 732986642372 T^{14} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 - 2807 T^{4} + 2999568 T^{8} - 13697264567 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1918 T^{4} - 1200957 T^{8} + 9359228158 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 4249 T^{4} + 13174320 T^{8} + 20733764569 T^{12} + 23811286661761 T^{16} \))(\( 1 - 48 T + 1152 T^{2} - 18432 T^{3} + 221336 T^{4} - 2122632 T^{5} + 16776576 T^{6} - 110138352 T^{7} + 584847502 T^{8} - 2167705440 T^{9} - 101278944 T^{10} + 103905054792 T^{11} - 1313297330560 T^{12} + 11748806482152 T^{13} - 89054821472256 T^{14} + 622050377830560 T^{15} - 4255385068735805 T^{16} + 29236367758036320 T^{17} - 196722100632213504 T^{18} + 1219796335396467096 T^{19} - 6408472031284351360 T^{20} + 23830105518606623544 T^{21} - 1091707545669732576 T^{22} - \)\(10\!\cdots\!20\)\( T^{23} + \)\(13\!\cdots\!22\)\( T^{24} - \)\(12\!\cdots\!84\)\( T^{25} + \)\(88\!\cdots\!24\)\( T^{26} - \)\(52\!\cdots\!96\)\( T^{27} + \)\(25\!\cdots\!76\)\( T^{28} - \)\(10\!\cdots\!64\)\( T^{29} + \)\(29\!\cdots\!88\)\( T^{30} - \)\(57\!\cdots\!64\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( ( 1 - 3 T + 53 T^{2} )^{2} \))(\( ( 1 + 3 T + 53 T^{2} )^{2} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 136 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 136 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 4174 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 - 4174 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 3854 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 128 T^{2} + 8850 T^{4} - 359552 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( ( 1 - 718 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 4174 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( 1 - 4900 T^{4} + 13820838 T^{8} - 38663356900 T^{12} + 62259690411361 T^{16} \))(\( 1 + 4192 T^{4} + 3754180 T^{8} - 35115635936 T^{12} - 139198621476794 T^{16} - 277079258155925216 T^{20} + \)\(23\!\cdots\!80\)\( T^{24} + \)\(20\!\cdots\!72\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 - 3 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 42 T^{2} + 3481 T^{4} \))(\( 1 + 42 T^{2} + 3481 T^{4} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 9 T + 59 T^{2} )^{2} \))(\( ( 1 - 3 T + 59 T^{2} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 3 T + 59 T^{2} )^{2} \))(\( ( 1 - 9 T + 59 T^{2} )^{2} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 59 T^{2} )^{2} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 35 T^{2} + 298 T^{3} - 2756 T^{4} + 17582 T^{5} + 121835 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T - 85 T^{2} + 18 T^{3} + 9036 T^{4} + 1062 T^{5} - 295885 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 3 T - 103 T^{2} + 18 T^{3} + 8532 T^{4} + 1062 T^{5} - 358543 T^{6} - 616137 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 35 T^{2} + 298 T^{3} - 2756 T^{4} + 17582 T^{5} + 121835 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T - 85 T^{2} + 18 T^{3} + 9036 T^{4} + 1062 T^{5} - 295885 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( ( 1 + 112 T^{2} + 8370 T^{4} + 389872 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} - 354 T^{3} + 3481 T^{4} )^{4} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 + 6 T + 19 T^{2} + 354 T^{3} + 3481 T^{4} )^{4} \))(\( ( 1 + 110 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 3 T - 103 T^{2} - 18 T^{3} + 8532 T^{4} - 1062 T^{5} - 358543 T^{6} + 616137 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 6 T - 85 T^{2} - 18 T^{3} + 9036 T^{4} - 1062 T^{5} - 295885 T^{6} - 1232274 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 + 18 T + 137 T^{2} + 1242 T^{3} + 12372 T^{4} + 73278 T^{5} + 476897 T^{6} + 3696822 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 70 T^{2} + 1419 T^{4} - 243670 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 115 T^{2} + 9744 T^{4} - 400315 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 18 T + 137 T^{2} - 1242 T^{3} + 12372 T^{4} - 73278 T^{5} + 476897 T^{6} - 3696822 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 29 T^{2} - 2640 T^{4} + 100949 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 16 T^{2} - 5906 T^{4} + 12800 T^{6} + 24961747 T^{8} + 44556800 T^{10} - 71565134066 T^{12} - 674888538256 T^{14} + 146830437604321 T^{16} \))(\( 1 - 428 T^{2} + 100818 T^{4} - 16624408 T^{6} + 2120510801 T^{8} - 219902811120 T^{10} + 19093571371522 T^{12} - 1411764424766636 T^{14} + 89719050225623076 T^{16} - 4914351962612659916 T^{18} + \)\(23\!\cdots\!42\)\( T^{20} - \)\(92\!\cdots\!20\)\( T^{22} + \)\(31\!\cdots\!21\)\( T^{24} - \)\(84\!\cdots\!08\)\( T^{26} + \)\(17\!\cdots\!58\)\( T^{28} - \)\(26\!\cdots\!08\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( ( 1 + 4 T + 61 T^{2} )^{2} \))(\( ( 1 + 4 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 8 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 11 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 - 11 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 8 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( 1 - 7 T - 12 T^{2} - 427 T^{3} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )( 1 + T + 61 T^{2} ) \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 7 T - 12 T^{2} - 427 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 104 T^{2} - 8 T^{3} + 9703 T^{4} - 488 T^{5} - 386984 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + T - 47 T^{2} - 74 T^{3} - 1478 T^{4} - 4514 T^{5} - 174887 T^{6} + 226981 T^{7} + 13845841 T^{8} \))(\( 1 + 4 T - 104 T^{2} - 8 T^{3} + 9703 T^{4} - 488 T^{5} - 386984 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 12 T + 146 T^{2} - 732 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 8 T + 111 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 8 T + 61 T^{2} )^{8} \))(\( ( 1 - 5 T + 61 T^{2} )^{8} \))(\( ( 1 + 8 T + 111 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 12 T + 152 T^{2} + 732 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + T + 61 T^{2} )^{2} \))(\( ( 1 + T - 47 T^{2} - 74 T^{3} - 1478 T^{4} - 4514 T^{5} - 174887 T^{6} + 226981 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 14 T + 61 T^{2} )^{4}( 1 + T + 61 T^{2} )^{4} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 6 T - 89 T^{2} - 18 T^{3} + 9708 T^{4} - 1098 T^{5} - 331169 T^{6} - 1361886 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 12 T + 8 T^{2} + 1176 T^{3} + 13384 T^{4} - 12108 T^{5} + 574064 T^{6} + 5555196 T^{7} - 14824577 T^{8} + 338866956 T^{9} + 2136092144 T^{10} - 2748285948 T^{11} + 185312735944 T^{12} + 993245249976 T^{13} + 412162994888 T^{14} + 37712914032252 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 58 T^{2} + 4489 T^{4} \))(\( 1 + 58 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 + 13 T + 102 T^{2} + 871 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( 1 + 13 T + 102 T^{2} + 871 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 5 T + 67 T^{2} ) \))(\( 1 + 14 T + 19 T^{2} + 602 T^{3} + 13708 T^{4} + 40334 T^{5} + 85291 T^{6} + 4210682 T^{7} + 20151121 T^{8} \))(\( ( 1 - 14 T + 67 T^{2} )^{2}( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} ) \))(\( ( 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 14 T + 19 T^{2} - 602 T^{3} + 13708 T^{4} - 40334 T^{5} + 85291 T^{6} - 4210682 T^{7} + 20151121 T^{8} \))(\( ( 1 + 14 T + 67 T^{2} )^{2}( 1 - 14 T + 129 T^{2} - 938 T^{3} + 4489 T^{4} ) \))(\( ( 1 - 4 T + 8 T^{2} - 60 T^{3} - 2254 T^{4} - 4020 T^{5} + 35912 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 + 3196 T^{4} + 5515494 T^{8} + 64402982716 T^{12} + 406067677556641 T^{16} \))(\( ( 1 - 8302 T^{4} + 20151121 T^{8} )^{2} \))(\( ( 1 - 8302 T^{4} + 20151121 T^{8} )^{2} \))(\( 1 + 3196 T^{4} + 5515494 T^{8} + 64402982716 T^{12} + 406067677556641 T^{16} \))(\( ( 1 + 4 T + 8 T^{2} + 268 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 13 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( 1 - 35 T^{2} - 3264 T^{4} - 157115 T^{6} + 20151121 T^{8} \))(\( ( 1 - 13 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} \))(\( 1 - 35 T^{2} - 3264 T^{4} - 157115 T^{6} + 20151121 T^{8} \))(\( ( 1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2}( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} ) \))(\( 1 - 216 T^{2} + 26737 T^{4} - 2415960 T^{6} + 174766032 T^{8} - 10845244440 T^{10} + 538780522177 T^{12} - 19539010548504 T^{14} + 406067677556641 T^{16} \))(\( ( 1 + 2903 T^{4} + 20151121 T^{8} )( 1 + 5906 T^{4} + 20151121 T^{8} ) \))(\( 1 + 5497 T^{4} + 10065888 T^{8} + 110770712137 T^{12} + 406067677556641 T^{16} \))(\( 1 + 216 T^{2} + 26737 T^{4} + 2415960 T^{6} + 174766032 T^{8} + 10845244440 T^{10} + 538780522177 T^{12} + 19539010548504 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 8809 T^{4} + 20151121 T^{8} )( 1 + 2903 T^{4} + 20151121 T^{8} ) \))(\( 1 - 8183 T^{4} + 46810368 T^{8} - 164896623143 T^{12} + 406067677556641 T^{16} \))(\( 1 + 4 T + 8 T^{2} - 304 T^{3} - 3511 T^{4} - 10624 T^{5} + 31800 T^{6} + 1654308 T^{7} - 4277600 T^{8} + 110838636 T^{9} + 142750200 T^{10} - 3195306112 T^{11} - 70750585831 T^{12} - 410438032528 T^{13} + 723667057352 T^{14} + 24242846421292 T^{15} + 406067677556641 T^{16} \))(\( 1 - 16 T + 128 T^{2} + 128 T^{3} - 5562 T^{4} + 6640 T^{5} + 613888 T^{6} - 5277488 T^{7} + 23820881 T^{8} - 40207664 T^{9} + 355221248 T^{10} - 2724412528 T^{11} + 197658905958 T^{12} - 3038720900128 T^{13} + 23981818128000 T^{14} + 20130978078192 T^{15} - 1000499923621916 T^{16} + 1348775531238864 T^{17} + 107654381576592000 T^{18} - 913934814085197664 T^{19} + 3983048530687278918 T^{20} - 3678297755878140496 T^{21} + 32132739406133126912 T^{22} - \)\(24\!\cdots\!72\)\( T^{23} + \)\(96\!\cdots\!21\)\( T^{24} - \)\(14\!\cdots\!36\)\( T^{25} + \)\(11\!\cdots\!12\)\( T^{26} + \)\(81\!\cdots\!20\)\( T^{27} - \)\(45\!\cdots\!82\)\( T^{28} + \)\(70\!\cdots\!36\)\( T^{29} + \)\(47\!\cdots\!12\)\( T^{30} - \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 + 15 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 15 T + 71 T^{2} )^{2} \))(\( ( 1 - 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 15 T + 71 T^{2} )^{2} \))(\( ( 1 - 15 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 12 T + 124 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 12 T + 124 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 28 T^{2} - 2010 T^{4} - 141148 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 158 T^{2} + 12435 T^{4} - 796478 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 34 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 158 T^{2} + 12435 T^{4} - 796478 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 88 T^{2} + 2418 T^{4} - 443608 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{8} \))(\( ( 1 + 12 T + 124 T^{2} + 852 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 - 116 T^{2} + 12474 T^{4} - 584756 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 130 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 94 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 116 T^{2} + 12474 T^{4} - 584756 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 130 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 50 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 244 T^{2} + 24582 T^{4} - 1230004 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 296 T^{2} + 51256 T^{4} - 5830568 T^{6} + 486270130 T^{8} - 29391893288 T^{10} + 1302501121336 T^{12} - 37917684040616 T^{14} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 127 T^{2} + 5329 T^{4} \))(\( 1 + 127 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 97 T^{2} + 5329 T^{4} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 97 T^{2} + 5329 T^{4} \))(\( 1 - 97 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( 1 - 97 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 + 11 T + 73 T^{2} )^{2} \))(\( ( 1 - T + 73 T^{2} )^{2} \))(\( ( 1 - 14 T + 73 T^{2} )^{2} \))(\( ( 1 + 14 T + 73 T^{2} )^{2} \))(\( ( 1 - 7 T + 73 T^{2} )^{2} \))(\( ( 1 + T + 73 T^{2} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 75 T^{2} - 730 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + T + 73 T^{2} )^{4} \))(\( ( 1 - 11 T + 102 T^{2} - 803 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 10 T + 75 T^{2} + 730 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - T + 73 T^{2} )^{4} \))(\( ( 1 + 17 T + 73 T^{2} )^{4}( 1 + 143 T^{2} + 5329 T^{4} )^{2} \))(\( 1 - 7292 T^{4} + 67324998 T^{8} - 207079973372 T^{12} + 806460091894081 T^{16} \))(\( ( 1 - 9214 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 10657 T^{4} + 28398241 T^{8} )^{2} \))(\( 1 - 7292 T^{4} + 67324998 T^{8} - 207079973372 T^{12} + 806460091894081 T^{16} \))(\( ( 1 - 8 T + 32 T^{2} - 552 T^{3} + 9506 T^{4} - 40296 T^{5} + 170528 T^{6} - 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 25 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 145 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 97 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 83 T^{2} + 3396 T^{4} - 442307 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 145 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 + 3503 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8542 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 10657 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 + 3503 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 1054 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 5617 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 264 T^{3} + 578 T^{4} - 19272 T^{5} + 170528 T^{6} - 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 736 T^{3} + 2366 T^{4} - 45704 T^{5} - 170496 T^{6} - 3682392 T^{7} - 78261341 T^{8} - 268814616 T^{9} - 908573184 T^{10} - 17779632968 T^{11} + 67190238206 T^{12} + 1525780692448 T^{13} + 4842695241248 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 8 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 - T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 13 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - T + 79 T^{2} )^{2} \))(\( ( 1 - T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 13 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - T + 79 T^{2} )^{2} \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 - 104 T^{2} + 4575 T^{4} - 649064 T^{6} + 38950081 T^{8} \))(\( 1 + 4 T + 70 T^{2} - 848 T^{3} - 4589 T^{4} - 66992 T^{5} + 436870 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( ( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 104 T^{2} + 4575 T^{4} - 649064 T^{6} + 38950081 T^{8} \))(\( 1 + 4 T + 70 T^{2} - 848 T^{3} - 4589 T^{4} - 66992 T^{5} + 436870 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( ( 1 - 146 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 212 T^{2} + 21018 T^{4} - 1323092 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 157 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 212 T^{2} + 21018 T^{4} - 1323092 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 286 T^{2} + 32715 T^{4} - 1784926 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 13 T + 79 T^{2} )^{2}( 1 + 17 T + 79 T^{2} )^{2} \))(\( ( 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 14 T + 117 T^{2} - 1106 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 4 T + 70 T^{2} + 848 T^{3} - 4589 T^{4} + 66992 T^{5} + 436870 T^{6} - 1972156 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} - 2877 T^{4} + 361978 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} - 4797 T^{4} - 237158 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} - 2877 T^{4} + 361978 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 152 T^{2} + 16863 T^{4} + 948632 T^{6} + 38950081 T^{8} )^{2} \))(\( 1 + 200 T^{2} + 7464 T^{4} - 683600 T^{6} + 16634510 T^{8} + 10268111400 T^{10} + 468563441536 T^{12} + 2801113391000 T^{14} + 270299704808259 T^{16} + 17481748673231000 T^{18} + 18250584001465964416 T^{20} + \)\(24\!\cdots\!00\)\( T^{22} + \)\(25\!\cdots\!10\)\( T^{24} - \)\(64\!\cdots\!00\)\( T^{26} + \)\(44\!\cdots\!24\)\( T^{28} + \)\(73\!\cdots\!00\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( ( 1 - 5 T + 83 T^{2} )^{2} \))(\( ( 1 + 5 T + 83 T^{2} )^{2} \))(\( 1 + 158 T^{2} + 6889 T^{4} \))(\( 1 - 157 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( ( 1 - 83 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( ( 1 - 83 T^{2} )^{2} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 157 T^{2} + 6889 T^{4} \))(\( 1 + 158 T^{2} + 6889 T^{4} \))(\( 1 - 11 T + 38 T^{2} - 913 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 11 T + 38 T^{2} + 913 T^{3} + 6889 T^{4} \))(\( ( 1 + 4 T - 67 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 + 6 T - 133 T^{2} + 18 T^{3} + 18684 T^{4} + 1494 T^{5} - 916237 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + 9 T - 97 T^{2} + 108 T^{3} + 18072 T^{4} + 8964 T^{5} - 668233 T^{6} + 5146083 T^{7} + 47458321 T^{8} \))(\( ( 1 - 4 T - 67 T^{2} - 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 6 T - 133 T^{2} - 18 T^{3} + 18684 T^{4} - 1494 T^{5} - 916237 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + 6286 T^{4} + 19632339 T^{8} + 298323005806 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 4516 T^{4} + 69906534 T^{8} + 214321777636 T^{12} + 2252292232139041 T^{16} \))(\( ( 1 - 13294 T^{4} + 47458321 T^{8} )^{2} \))(\( ( 1 + 3122 T^{4} + 47458321 T^{8} )^{2} \))(\( 1 + 4516 T^{4} + 69906534 T^{8} + 214321777636 T^{12} + 2252292232139041 T^{16} \))(\( 1 - 20132 T^{4} + 192702054 T^{8} - 955430918372 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 22 T^{2} - 6405 T^{4} + 151558 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 22 T^{2} - 6405 T^{4} + 151558 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 275 T^{2} + 43609 T^{4} + 5015450 T^{6} + 456585310 T^{8} + 34551435050 T^{10} + 2069609920489 T^{12} + 89908602676475 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 302 T^{2} + 54841 T^{4} + 6820670 T^{6} + 646505092 T^{8} + 46987595630 T^{10} + 2602661781961 T^{12} + 98735992757438 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 432 T^{2} + 91513 T^{4} - 12659760 T^{6} + 1239875616 T^{8} - 87213086640 T^{10} + 4343053329673 T^{12} - 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 10871 T^{4} + 70720320 T^{8} - 515919407591 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 6553 T^{4} - 4516512 T^{8} + 310994377513 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 432 T^{2} + 91513 T^{4} + 12659760 T^{6} + 1239875616 T^{8} + 87213086640 T^{10} + 4343053329673 T^{12} + 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 6553 T^{4} - 4516512 T^{8} + 310994377513 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 13294 T^{4} + 129272115 T^{8} + 630910919374 T^{12} + 2252292232139041 T^{16} \))(\( 1 - 12 T + 72 T^{2} - 288 T^{3} - 8375 T^{4} + 56640 T^{5} - 35208 T^{6} - 3433884 T^{7} + 82789344 T^{8} - 285012372 T^{9} - 242547912 T^{10} + 32386015680 T^{11} - 397463438375 T^{12} - 1134443705184 T^{13} + 23539706882568 T^{14} - 325632611875524 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 48 T + 1152 T^{2} - 18432 T^{3} + 215516 T^{4} - 1906416 T^{5} + 13102848 T^{6} - 74216976 T^{7} + 433250986 T^{8} - 3712707360 T^{9} + 40409712000 T^{10} - 415323735120 T^{11} + 3731885962352 T^{12} - 29403431286576 T^{13} + 213762329771904 T^{14} - 1567513821393504 T^{15} + 12987012407281267 T^{16} - 130103647175660832 T^{17} + 1472608689798646656 T^{18} - 16812499765057431312 T^{19} + \)\(17\!\cdots\!92\)\( T^{20} - \)\(16\!\cdots\!60\)\( T^{21} + \)\(13\!\cdots\!00\)\( T^{22} - \)\(10\!\cdots\!20\)\( T^{23} + \)\(97\!\cdots\!26\)\( T^{24} - \)\(13\!\cdots\!28\)\( T^{25} + \)\(20\!\cdots\!52\)\( T^{26} - \)\(24\!\cdots\!72\)\( T^{27} + \)\(23\!\cdots\!76\)\( T^{28} - \)\(16\!\cdots\!16\)\( T^{29} + \)\(84\!\cdots\!08\)\( T^{30} - \)\(29\!\cdots\!36\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 + 12 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 102 T^{2} + 7921 T^{4} \))(\( 1 + 102 T^{2} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 + T + 89 T^{2} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 15 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 15 T + 89 T^{2} )^{2} \))(\( ( 1 + T + 89 T^{2} )^{2} \))(\( ( 1 + 16 T + 218 T^{2} + 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{4} \))(\( ( 1 + 15 T + 160 T^{2} + 1335 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 16 T + 218 T^{2} + 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{4} \))(\( ( 1 + 244 T^{2} + 30294 T^{4} + 1932724 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 6 T + 160 T^{2} - 534 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 + 70 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 70 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 6 T + 160 T^{2} + 534 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 + 40 T^{2} - 5358 T^{4} + 316840 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{4} \))(\( ( 1 - 15 T + 89 T^{2} )^{4} \))(\( ( 1 - 6 T + 89 T^{2} )^{4} \))(\( ( 1 + 9 T + 89 T^{2} )^{4} \))(\( ( 1 - 9 T + 89 T^{2} )^{4} \))(\( ( 1 - 15 T + 160 T^{2} - 1335 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 + 9 T + 89 T^{2} )^{8} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 175 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 31 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 175 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 130 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 286 T^{2} + 35427 T^{4} + 2265406 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 328 T^{2} + 42642 T^{4} + 2598088 T^{6} + 62742241 T^{8} )^{4} \))
$97$ (\( 1 + 19 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 + 5 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 19 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 19 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 5 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 19 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 175 T^{2} + 9409 T^{4} \))(\( 1 + 175 T^{2} + 9409 T^{4} \))(\( 1 + 2 T^{2} + 9409 T^{4} \))(\( 1 - 193 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 145 T^{2} + 9409 T^{4} \))(\( 1 + 167 T^{2} + 9409 T^{4} \))(\( 1 - 169 T^{2} + 9409 T^{4} \))(\( 1 - 169 T^{2} + 9409 T^{4} \))(\( 1 + 167 T^{2} + 9409 T^{4} \))(\( 1 - 145 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 193 T^{2} + 9409 T^{4} \))(\( 1 + 2 T^{2} + 9409 T^{4} \))(\( 1 + 8 T - 33 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( ( 1 - 19 T + 97 T^{2} )( 1 + 14 T + 97 T^{2} ) \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 - 7 T - 48 T^{2} - 679 T^{3} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 - 11 T + 24 T^{2} - 1067 T^{3} + 9409 T^{4} \))(\( 1 + 17 T + 192 T^{2} + 1649 T^{3} + 9409 T^{4} \))(\( 1 - 8 T - 33 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( ( 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} )^{2} \))(\( 1 - 2 T - 95 T^{2} + 190 T^{3} + 4 T^{4} + 18430 T^{5} - 893855 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 + 11 T - 95 T^{2} + 242 T^{3} + 25510 T^{4} + 23474 T^{5} - 893855 T^{6} + 10039403 T^{7} + 88529281 T^{8} \))(\( ( 1 - 13 T + 72 T^{2} - 1261 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 2 T - 95 T^{2} - 190 T^{3} + 4 T^{4} - 18430 T^{5} - 893855 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( ( 1 - 30 T + 450 T^{2} - 4080 T^{3} + 35471 T^{4} - 395760 T^{5} + 4234050 T^{6} - 27380190 T^{7} + 88529281 T^{8} )^{2} \))(\( 1 - 2258 T^{4} - 119271597 T^{8} - 199899116498 T^{12} + 7837433594376961 T^{16} \))(\( ( 1 - 11422 T^{4} + 88529281 T^{8} )^{2} \))(\( ( 1 - 4657 T^{4} + 88529281 T^{8} )^{2} \))(\( 1 - 2258 T^{4} - 119271597 T^{8} - 199899116498 T^{12} + 7837433594376961 T^{16} \))(\( ( 1 + 24 T + 288 T^{2} + 3768 T^{3} + 45698 T^{4} + 365496 T^{5} + 2709792 T^{6} + 21904152 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} + 9409 T^{4} )( 1 + 167 T^{2} + 9409 T^{4} ) \))(\( 1 - 95 T^{2} - 384 T^{4} - 893855 T^{6} + 88529281 T^{8} \))(\( 1 + 73 T^{2} - 4080 T^{4} + 686857 T^{6} + 88529281 T^{8} \))(\( 1 + 145 T^{2} + 11616 T^{4} + 1364305 T^{6} + 88529281 T^{8} \))(\( 1 + 190 T^{2} + 26691 T^{4} + 1787710 T^{6} + 88529281 T^{8} \))(\( 1 + 311 T^{2} + 54721 T^{4} + 7209602 T^{6} + 765422830 T^{8} + 67835145218 T^{10} + 4844410785601 T^{12} + 259054293532919 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 194 T^{2} + 9793 T^{4} + 1750850 T^{6} + 332586244 T^{8} + 16473747650 T^{10} + 866967248833 T^{12} + 161596568956226 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 360 T^{2} + 65929 T^{4} + 8182440 T^{6} + 834546960 T^{8} + 76988577960 T^{10} + 5836646967049 T^{12} + 299869921774440 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 2498 T^{4} - 82289277 T^{8} - 221146143938 T^{12} + 7837433594376961 T^{16} \))(\( ( 1 - 18814 T^{4} + 88529281 T^{8} )( 1 + 9743 T^{4} + 88529281 T^{8} ) \))(\( 1 - 360 T^{2} + 65929 T^{4} - 8182440 T^{6} + 834546960 T^{8} - 76988577960 T^{10} + 5836646967049 T^{12} - 299869921774440 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 16417 T^{4} + 180988608 T^{8} + 1453385206177 T^{12} + 7837433594376961 T^{16} \))(\( 1 + 4657 T^{4} - 66841632 T^{8} + 412280861617 T^{12} + 7837433594376961 T^{16} \))(\( 1 + 12 T + 72 T^{2} - 744 T^{3} - 12542 T^{4} - 57996 T^{5} + 483840 T^{6} + 14345892 T^{7} + 128096019 T^{8} + 1391551524 T^{9} + 4552450560 T^{10} - 52931383308 T^{11} - 1110334242302 T^{12} - 6388981151208 T^{13} + 59973984354888 T^{14} + 969579413737356 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 48 T + 1152 T^{2} - 15456 T^{3} + 79442 T^{4} + 1258944 T^{5} - 32502528 T^{6} + 320382528 T^{7} - 602207375 T^{8} - 26997703632 T^{9} + 412336144512 T^{10} - 2856970349424 T^{11} + 3870433274354 T^{12} + 127396070447952 T^{13} - 1412601730375680 T^{14} + 7780535897090304 T^{15} - 41112146089827164 T^{16} + 754711982017759488 T^{17} - 13291169681104773120 T^{18} + \)\(11\!\cdots\!96\)\( T^{19} + \)\(34\!\cdots\!74\)\( T^{20} - \)\(24\!\cdots\!68\)\( T^{21} + \)\(34\!\cdots\!48\)\( T^{22} - \)\(21\!\cdots\!16\)\( T^{23} - \)\(47\!\cdots\!75\)\( T^{24} + \)\(24\!\cdots\!76\)\( T^{25} - \)\(23\!\cdots\!72\)\( T^{26} + \)\(90\!\cdots\!32\)\( T^{27} + \)\(55\!\cdots\!22\)\( T^{28} - \)\(10\!\cdots\!12\)\( T^{29} + \)\(75\!\cdots\!88\)\( T^{30} - \)\(30\!\cdots\!64\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))
show more
show less