Properties

Label 722.2
Level 722
Weight 2
Dimension 5386
Nonzero newspaces 6
Newform subspaces 53
Sturm bound 64980
Trace bound 1

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Defining parameters

Level: \( N \) = \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 6 \)
Newform subspaces: \( 53 \)
Sturm bound: \(64980\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(722))\).

Total New Old
Modular forms 16749 5386 11363
Cusp forms 15742 5386 10356
Eisenstein series 1007 0 1007

Trace form

\( 5386q + q^{2} + 4q^{3} + q^{4} + 6q^{5} + 4q^{6} + 8q^{7} + q^{8} + 13q^{9} + O(q^{10}) \) \( 5386q + q^{2} + 4q^{3} + q^{4} + 6q^{5} + 4q^{6} + 8q^{7} + q^{8} + 13q^{9} + 6q^{10} + 12q^{11} - 8q^{12} - 34q^{13} - 28q^{14} - 48q^{15} + q^{16} - 18q^{17} - 41q^{18} - 42q^{19} - 30q^{20} - 52q^{21} - 42q^{22} - 12q^{23} + 4q^{24} - 41q^{25} - 22q^{26} - 26q^{27} - 4q^{28} - 6q^{29} + 24q^{30} - 4q^{31} + q^{32} - 60q^{33} + 18q^{34} - 24q^{35} + 13q^{36} + 2q^{37} - 52q^{39} + 6q^{40} + 6q^{41} + 32q^{42} - 40q^{43} - 6q^{44} - 138q^{45} - 48q^{46} - 96q^{47} - 14q^{48} - 63q^{49} - 113q^{50} - 126q^{51} + 2q^{52} - 90q^{53} - 68q^{54} - 72q^{55} - 64q^{56} - 90q^{57} - 42q^{58} - 120q^{59} - 48q^{60} - 94q^{61} - 76q^{62} - 88q^{63} - 11q^{64} - 132q^{65} - 96q^{66} - 88q^{67} - 12q^{69} - 24q^{70} - 72q^{71} - 5q^{72} + 8q^{73} + 38q^{74} + 40q^{75} + 24q^{77} - 16q^{78} - 76q^{79} + 6q^{80} - 77q^{81} - 30q^{82} - 60q^{83} - 76q^{84} - 36q^{85} - 28q^{86} - 240q^{87} + 12q^{88} - 54q^{89} - 102q^{90} - 80q^{91} - 48q^{92} - 172q^{93} - 96q^{94} - 90q^{95} + 4q^{96} - 82q^{97} - 87q^{98} - 258q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(722))\)

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
722.2.a \(\chi_{722}(1, \cdot)\) 722.2.a.a 1 1
722.2.a.b 1
722.2.a.c 1
722.2.a.d 1
722.2.a.e 1
722.2.a.f 1
722.2.a.g 2
722.2.a.h 2
722.2.a.i 2
722.2.a.j 2
722.2.a.k 3
722.2.a.l 3
722.2.a.m 4
722.2.a.n 4
722.2.c \(\chi_{722}(429, \cdot)\) 722.2.c.a 2 2
722.2.c.b 2
722.2.c.c 2
722.2.c.d 2
722.2.c.e 2
722.2.c.f 2
722.2.c.g 2
722.2.c.h 4
722.2.c.i 4
722.2.c.j 4
722.2.c.k 6
722.2.c.l 6
722.2.c.m 8
722.2.c.n 8
722.2.e \(\chi_{722}(99, \cdot)\) 722.2.e.a 6 6
722.2.e.b 6
722.2.e.c 6
722.2.e.d 6
722.2.e.e 6
722.2.e.f 6
722.2.e.g 6
722.2.e.h 6
722.2.e.i 6
722.2.e.j 6
722.2.e.k 6
722.2.e.l 6
722.2.e.m 6
722.2.e.n 12
722.2.e.o 12
722.2.e.p 12
722.2.e.q 12
722.2.e.r 24
722.2.e.s 24
722.2.g \(\chi_{722}(39, \cdot)\) 722.2.g.a 288 18
722.2.g.b 306
722.2.i \(\chi_{722}(7, \cdot)\) 722.2.i.a 576 36
722.2.i.b 612
722.2.k \(\chi_{722}(5, \cdot)\) 722.2.k.a 1620 108
722.2.k.b 1728

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(722))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(722)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(38))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(361))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( 1 - T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 - T^{3} + T^{6} \))(\( 1 + T^{3} + T^{6} \))(\( ( 1 + T^{3} + T^{6} )^{2} \))(\( ( 1 - T^{3} + T^{6} )^{2} \))(\( ( 1 + T^{3} + T^{6} )^{2} \))(\( ( 1 - T^{3} + T^{6} )^{2} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - T^{2} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 - T^{2} + 9 T^{4} \))(\( 1 + 6 T^{2} - T^{3} + 18 T^{4} + 27 T^{6} \))(\( 1 + 6 T^{2} + T^{3} + 18 T^{4} + 27 T^{6} \))(\( 1 + 2 T + 6 T^{2} + 6 T^{3} + 14 T^{4} + 18 T^{5} + 54 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 - 2 T + 6 T^{2} - 6 T^{3} + 14 T^{4} - 18 T^{5} + 54 T^{6} - 54 T^{7} + 81 T^{8} \))(\( ( 1 + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} ) \))(\( 1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8} \))(\( 1 - 6 T^{2} + 2 T^{3} + 18 T^{4} - 6 T^{5} - 53 T^{6} - 18 T^{7} + 162 T^{8} + 54 T^{9} - 486 T^{10} + 729 T^{12} \))(\( 1 - 6 T^{2} - 2 T^{3} + 18 T^{4} + 6 T^{5} - 53 T^{6} + 18 T^{7} + 162 T^{8} - 54 T^{9} - 486 T^{10} + 729 T^{12} \))(\( 1 + 2 T - 2 T^{2} + 10 T^{4} - 2 T^{5} + 24 T^{6} + 30 T^{7} - 101 T^{8} + 90 T^{9} + 216 T^{10} - 54 T^{11} + 810 T^{12} - 1458 T^{14} + 4374 T^{15} + 6561 T^{16} \))(\( 1 - 2 T - 2 T^{2} + 10 T^{4} + 2 T^{5} + 24 T^{6} - 30 T^{7} - 101 T^{8} - 90 T^{9} + 216 T^{10} + 54 T^{11} + 810 T^{12} - 1458 T^{14} - 4374 T^{15} + 6561 T^{16} \))(\( 1 + 6 T + 15 T^{2} + 19 T^{3} + 3 T^{4} - 51 T^{5} - 134 T^{6} - 153 T^{7} + 27 T^{8} + 513 T^{9} + 1215 T^{10} + 1458 T^{11} + 729 T^{12} \))(\( 1 + 3 T + 6 T^{2} + 8 T^{3} + 3 T^{4} - 21 T^{5} - 53 T^{6} - 63 T^{7} + 27 T^{8} + 216 T^{9} + 486 T^{10} + 729 T^{11} + 729 T^{12} \))(\( 1 + 8 T^{3} + 37 T^{6} + 216 T^{9} + 729 T^{12} \))(\( 1 - 8 T^{3} + 37 T^{6} - 216 T^{9} + 729 T^{12} \))(\( 1 + 8 T^{3} + 37 T^{6} + 216 T^{9} + 729 T^{12} \))(\( 1 - 8 T^{3} + 37 T^{6} - 216 T^{9} + 729 T^{12} \))(\( ( 1 - 9 T^{3} + 27 T^{6} )( 1 + 9 T^{3} + 27 T^{6} ) \))(\( ( 1 - 9 T^{3} + 27 T^{6} )( 1 + 9 T^{3} + 27 T^{6} ) \))(\( 1 + 8 T^{3} + 37 T^{6} + 216 T^{9} + 729 T^{12} \))(\( 1 - 8 T^{3} + 37 T^{6} - 216 T^{9} + 729 T^{12} \))(\( 1 - 3 T + 6 T^{2} - 8 T^{3} + 21 T^{4} - 51 T^{5} + 109 T^{6} - 153 T^{7} + 189 T^{8} - 216 T^{9} + 486 T^{10} - 729 T^{11} + 729 T^{12} \))(\( 1 - 3 T + 6 T^{2} - 8 T^{3} + 3 T^{4} + 21 T^{5} - 53 T^{6} + 63 T^{7} + 27 T^{8} - 216 T^{9} + 486 T^{10} - 729 T^{11} + 729 T^{12} \))(\( 1 - 6 T + 15 T^{2} - 19 T^{3} + 3 T^{4} + 51 T^{5} - 134 T^{6} + 153 T^{7} + 27 T^{8} - 513 T^{9} + 1215 T^{10} - 1458 T^{11} + 729 T^{12} \))(\( 1 - 26 T^{6} - 53 T^{12} - 18954 T^{18} + 531441 T^{24} \))(\( 1 - 26 T^{6} - 53 T^{12} - 18954 T^{18} + 531441 T^{24} \))(\( 1 - 14 T^{3} + 98 T^{6} - 616 T^{9} + 3583 T^{12} - 16632 T^{15} + 71442 T^{18} - 275562 T^{21} + 531441 T^{24} \))(\( 1 + 14 T^{3} + 98 T^{6} + 616 T^{9} + 3583 T^{12} + 16632 T^{15} + 71442 T^{18} + 275562 T^{21} + 531441 T^{24} \))
$5$ (\( 1 - 2 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 4 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 4 T^{2} - 10 T^{3} + 25 T^{4} \))(\( ( 1 - 2 T + 5 T^{2} )^{3} \))(\( ( 1 - 2 T + 5 T^{2} )^{3} \))(\( 1 + 2 T + 9 T^{2} - 2 T^{3} + 21 T^{4} - 10 T^{5} + 225 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 9 T^{2} - 2 T^{3} + 21 T^{4} - 10 T^{5} + 225 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 5 T + 10 T^{2} - 25 T^{3} + 75 T^{4} - 125 T^{5} + 250 T^{6} - 625 T^{7} + 625 T^{8} \))(\( 1 - 5 T + 10 T^{2} - 25 T^{3} + 75 T^{4} - 125 T^{5} + 250 T^{6} - 625 T^{7} + 625 T^{8} \))(\( 1 + 2 T - 12 T^{3} - 29 T^{4} - 60 T^{5} + 250 T^{7} + 625 T^{8} \))(\( ( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} )^{3} \))(\( ( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} )^{3} \))(\( 1 - 2 T - 5 T^{2} - 22 T^{3} + 64 T^{4} + 112 T^{5} + 285 T^{6} - 838 T^{7} - 1229 T^{8} - 4190 T^{9} + 7125 T^{10} + 14000 T^{11} + 40000 T^{12} - 68750 T^{13} - 78125 T^{14} - 156250 T^{15} + 390625 T^{16} \))(\( 1 - 2 T - 5 T^{2} - 22 T^{3} + 64 T^{4} + 112 T^{5} + 285 T^{6} - 838 T^{7} - 1229 T^{8} - 4190 T^{9} + 7125 T^{10} + 14000 T^{11} + 40000 T^{12} - 68750 T^{13} - 78125 T^{14} - 156250 T^{15} + 390625 T^{16} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 4 T^{3} - 109 T^{6} - 500 T^{9} + 15625 T^{12} \))(\( 1 - 4 T^{3} - 109 T^{6} - 500 T^{9} + 15625 T^{12} \))(\( 1 - 125 T^{6} + 15625 T^{12} \))(\( 1 - 125 T^{6} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 125 T^{6} + 15625 T^{12} \))(\( 1 - 125 T^{6} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 - 22 T^{3} + 359 T^{6} - 2750 T^{9} + 15625 T^{12} \))(\( 1 + 14 T^{3} + 72 T^{6} - 1764 T^{9} - 24749 T^{12} - 220500 T^{15} + 1125000 T^{18} + 27343750 T^{21} + 244140625 T^{24} \))(\( 1 + 14 T^{3} + 72 T^{6} - 1764 T^{9} - 24749 T^{12} - 220500 T^{15} + 1125000 T^{18} + 27343750 T^{21} + 244140625 T^{24} \))(\( 1 + 25 T^{3} + 250 T^{6} + 3125 T^{9} + 46875 T^{12} + 390625 T^{15} + 3906250 T^{18} + 48828125 T^{21} + 244140625 T^{24} \))(\( 1 + 25 T^{3} + 250 T^{6} + 3125 T^{9} + 46875 T^{12} + 390625 T^{15} + 3906250 T^{18} + 48828125 T^{21} + 244140625 T^{24} \))
$7$ (\( 1 + 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - 2 T + 8 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T + 10 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T + 10 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 - 2 T + 8 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 6 T + 21 T^{2} - 60 T^{3} + 147 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 21 T^{2} - 60 T^{3} + 147 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 22 T^{2} + 30 T^{3} + 206 T^{4} + 210 T^{5} + 1078 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 + 2 T + 22 T^{2} + 30 T^{3} + 206 T^{4} + 210 T^{5} + 1078 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( ( 1 + 4 T + 7 T^{2} )^{2} \))(\( ( 1 + T + 7 T^{2} )^{2} \))(\( ( 1 - 3 T + 7 T^{2} )^{2} \))(\( ( 1 + T + 7 T^{2} )^{2} \))(\( ( 1 - 3 T + 7 T^{2} )^{2} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 10 T^{2} + 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 2 T + 10 T^{2} + 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 2 T + 8 T^{2} - 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 6 T + 21 T^{2} - 60 T^{3} + 147 T^{4} - 294 T^{5} + 343 T^{6} )^{2} \))(\( ( 1 - 6 T + 21 T^{2} - 60 T^{3} + 147 T^{4} - 294 T^{5} + 343 T^{6} )^{2} \))(\( ( 1 + 2 T + 22 T^{2} + 30 T^{3} + 206 T^{4} + 210 T^{5} + 1078 T^{6} + 686 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 2 T + 22 T^{2} + 30 T^{3} + 206 T^{4} + 210 T^{5} + 1078 T^{6} + 686 T^{7} + 2401 T^{8} )^{2} \))(\( 1 + 6 T + 15 T^{2} + 6 T^{3} - 66 T^{4} - 210 T^{5} - 565 T^{6} - 1470 T^{7} - 3234 T^{8} + 2058 T^{9} + 36015 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 + 6 T + 15 T^{2} + 6 T^{3} - 66 T^{4} - 210 T^{5} - 565 T^{6} - 1470 T^{7} - 3234 T^{8} + 2058 T^{9} + 36015 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( ( 1 + 3 T + 2 T^{2} + 21 T^{3} + 49 T^{4} )^{3} \))(\( ( 1 + 3 T + 2 T^{2} + 21 T^{3} + 49 T^{4} )^{3} \))(\( ( 1 - 5 T + 7 T^{2} )^{3}( 1 + 4 T + 7 T^{2} )^{3} \))(\( ( 1 - 5 T + 7 T^{2} )^{3}( 1 + 4 T + 7 T^{2} )^{3} \))(\( ( 1 - 3 T + 2 T^{2} - 21 T^{3} + 49 T^{4} )^{3} \))(\( ( 1 - 3 T + 2 T^{2} - 21 T^{3} + 49 T^{4} )^{3} \))(\( ( 1 - 5 T + 7 T^{2} )^{3}( 1 + T + 7 T^{2} )^{3} \))(\( ( 1 - 5 T + 7 T^{2} )^{3}( 1 + T + 7 T^{2} )^{3} \))(\( 1 + 6 T + 15 T^{2} + 6 T^{3} - 66 T^{4} - 210 T^{5} - 565 T^{6} - 1470 T^{7} - 3234 T^{8} + 2058 T^{9} + 36015 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 + 6 T + 15 T^{2} + 6 T^{3} - 66 T^{4} - 210 T^{5} - 565 T^{6} - 1470 T^{7} - 3234 T^{8} + 2058 T^{9} + 36015 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( 1 + 6 T + 15 T^{2} + 6 T^{3} - 66 T^{4} - 210 T^{5} - 565 T^{6} - 1470 T^{7} - 3234 T^{8} + 2058 T^{9} + 36015 T^{10} + 100842 T^{11} + 117649 T^{12} \))(\( ( 1 + 2 T - 4 T^{2} - 12 T^{3} - 13 T^{4} - 84 T^{5} - 196 T^{6} + 686 T^{7} + 2401 T^{8} )^{3} \))(\( ( 1 + 2 T - 4 T^{2} - 12 T^{3} - 13 T^{4} - 84 T^{5} - 196 T^{6} + 686 T^{7} + 2401 T^{8} )^{3} \))(\( ( 1 - 2 T - 6 T^{2} + 8 T^{3} + 23 T^{4} + 56 T^{5} - 294 T^{6} - 686 T^{7} + 2401 T^{8} )^{3} \))(\( ( 1 - 2 T - 6 T^{2} + 8 T^{3} + 23 T^{4} + 56 T^{5} - 294 T^{6} - 686 T^{7} + 2401 T^{8} )^{3} \))
$11$ (\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 4 T + 19 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 18 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 18 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 19 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 36 T^{2} - 113 T^{3} + 396 T^{4} - 726 T^{5} + 1331 T^{6} \))(\( 1 - 6 T + 36 T^{2} - 113 T^{3} + 396 T^{4} - 726 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 18 T^{2} - 54 T^{3} + 230 T^{4} - 594 T^{5} + 2178 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 - 2 T + 18 T^{2} - 54 T^{3} + 230 T^{4} - 594 T^{5} + 2178 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 18 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T + 18 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} + 44 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 36 T^{2} - 113 T^{3} + 396 T^{4} - 726 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 - 6 T + 36 T^{2} - 113 T^{3} + 396 T^{4} - 726 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 - 2 T + 18 T^{2} - 54 T^{3} + 230 T^{4} - 594 T^{5} + 2178 T^{6} - 2662 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 - 2 T + 18 T^{2} - 54 T^{3} + 230 T^{4} - 594 T^{5} + 2178 T^{6} - 2662 T^{7} + 14641 T^{8} )^{2} \))(\( 1 + 6 T - 10 T^{3} + 222 T^{4} + 42 T^{5} - 3181 T^{6} + 462 T^{7} + 26862 T^{8} - 13310 T^{9} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T - 10 T^{3} + 222 T^{4} + 42 T^{5} - 3181 T^{6} + 462 T^{7} + 26862 T^{8} - 13310 T^{9} + 966306 T^{11} + 1771561 T^{12} \))(\( ( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{3} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{3} \))(\( 1 + 6 T - 10 T^{3} + 222 T^{4} + 42 T^{5} - 3181 T^{6} + 462 T^{7} + 26862 T^{8} - 13310 T^{9} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T - 10 T^{3} + 222 T^{4} + 42 T^{5} - 3181 T^{6} + 462 T^{7} + 26862 T^{8} - 13310 T^{9} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T - 10 T^{3} + 222 T^{4} + 42 T^{5} - 3181 T^{6} + 462 T^{7} + 26862 T^{8} - 13310 T^{9} + 966306 T^{11} + 1771561 T^{12} \))(\( ( 1 - 4 T - 3 T^{2} + 12 T^{3} + 64 T^{4} + 132 T^{5} - 363 T^{6} - 5324 T^{7} + 14641 T^{8} )^{3} \))(\( ( 1 - 4 T - 3 T^{2} + 12 T^{3} + 64 T^{4} + 132 T^{5} - 363 T^{6} - 5324 T^{7} + 14641 T^{8} )^{3} \))(\( ( 1 - 2 T - 14 T^{2} + 8 T^{3} + 159 T^{4} + 88 T^{5} - 1694 T^{6} - 2662 T^{7} + 14641 T^{8} )^{3} \))(\( ( 1 - 2 T - 14 T^{2} + 8 T^{3} + 159 T^{4} + 88 T^{5} - 1694 T^{6} - 2662 T^{7} + 14641 T^{8} )^{3} \))
$13$ (\( 1 - 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( 1 - 5 T + 31 T^{2} - 65 T^{3} + 169 T^{4} \))(\( 1 + 5 T + 31 T^{2} + 65 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - 6 T + 39 T^{2} - 148 T^{3} + 507 T^{4} - 1014 T^{5} + 2197 T^{6} \))(\( 1 + 6 T + 39 T^{2} + 148 T^{3} + 507 T^{4} + 1014 T^{5} + 2197 T^{6} \))(\( 1 + 18 T + 161 T^{2} + 934 T^{3} + 3909 T^{4} + 12142 T^{5} + 27209 T^{6} + 39546 T^{7} + 28561 T^{8} \))(\( 1 - 18 T + 161 T^{2} - 934 T^{3} + 3909 T^{4} - 12142 T^{5} + 27209 T^{6} - 39546 T^{7} + 28561 T^{8} \))(\( 1 - 3 T - 4 T^{2} - 39 T^{3} + 169 T^{4} \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 2 T + 13 T^{2} ) \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} \))(\( 1 + 3 T - 4 T^{2} + 39 T^{3} + 169 T^{4} \))(\( 1 - 5 T - 6 T^{2} - 25 T^{3} + 467 T^{4} - 325 T^{5} - 1014 T^{6} - 10985 T^{7} + 28561 T^{8} \))(\( 1 + 5 T - 6 T^{2} + 25 T^{3} + 467 T^{4} + 325 T^{5} - 1014 T^{6} + 10985 T^{7} + 28561 T^{8} \))(\( ( 1 - 7 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2} \))(\( 1 - 6 T - 3 T^{2} + 62 T^{3} + 126 T^{4} - 702 T^{5} + 441 T^{6} - 9126 T^{7} + 21294 T^{8} + 136214 T^{9} - 85683 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T - 3 T^{2} - 62 T^{3} + 126 T^{4} + 702 T^{5} + 441 T^{6} + 9126 T^{7} + 21294 T^{8} - 136214 T^{9} - 85683 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 18 T + 163 T^{2} + 1030 T^{3} + 5200 T^{4} + 21792 T^{5} + 78869 T^{6} + 270590 T^{7} + 954099 T^{8} + 3517670 T^{9} + 13328861 T^{10} + 47877024 T^{11} + 148517200 T^{12} + 382431790 T^{13} + 786769867 T^{14} + 1129473306 T^{15} + 815730721 T^{16} \))(\( 1 - 18 T + 163 T^{2} - 1030 T^{3} + 5200 T^{4} - 21792 T^{5} + 78869 T^{6} - 270590 T^{7} + 954099 T^{8} - 3517670 T^{9} + 13328861 T^{10} - 47877024 T^{11} + 148517200 T^{12} - 382431790 T^{13} + 786769867 T^{14} - 1129473306 T^{15} + 815730721 T^{16} \))(\( 1 - 6 T + 12 T^{2} - 14 T^{3} - 216 T^{4} + 1188 T^{5} - 2757 T^{6} + 15444 T^{7} - 36504 T^{8} - 30758 T^{9} + 342732 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 230 T^{3} + 1332 T^{4} + 4950 T^{5} + 21111 T^{6} + 64350 T^{7} + 225108 T^{8} + 505310 T^{9} + 1370928 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 38 T^{3} - 753 T^{6} + 83486 T^{9} + 4826809 T^{12} \))(\( 1 - 38 T^{3} - 753 T^{6} - 83486 T^{9} + 4826809 T^{12} \))(\( ( 1 - 19 T^{3} + 2197 T^{6} )( 1 + 89 T^{3} + 2197 T^{6} ) \))(\( ( 1 - 89 T^{3} + 2197 T^{6} )( 1 + 19 T^{3} + 2197 T^{6} ) \))(\( 1 + 90 T^{3} + 5903 T^{6} + 197730 T^{9} + 4826809 T^{12} \))(\( 1 - 90 T^{3} + 5903 T^{6} - 197730 T^{9} + 4826809 T^{12} \))(\( ( 1 - 19 T^{3} + 2197 T^{6} )( 1 + 89 T^{3} + 2197 T^{6} ) \))(\( ( 1 - 89 T^{3} + 2197 T^{6} )( 1 + 19 T^{3} + 2197 T^{6} ) \))(\( 1 + 12 T + 48 T^{2} - 14 T^{3} - 684 T^{4} - 1854 T^{5} - 2757 T^{6} - 24102 T^{7} - 115596 T^{8} - 30758 T^{9} + 1370928 T^{10} + 4455516 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 48 T^{2} - 230 T^{3} + 1332 T^{4} - 4950 T^{5} + 21111 T^{6} - 64350 T^{7} + 225108 T^{8} - 505310 T^{9} + 1370928 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 12 T^{2} + 14 T^{3} - 216 T^{4} - 1188 T^{5} - 2757 T^{6} - 15444 T^{7} - 36504 T^{8} + 30758 T^{9} + 342732 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( ( 1 - 89 T^{3} + 2197 T^{6} )^{2}( 1 + 19 T^{3} + 2197 T^{6} )^{2} \))(\( ( 1 - 19 T^{3} + 2197 T^{6} )^{2}( 1 + 89 T^{3} + 2197 T^{6} )^{2} \))(\( 1 + 145 T^{3} + 11826 T^{6} + 696725 T^{9} + 33602867 T^{12} + 1530704825 T^{15} + 57081843234 T^{18} + 1537652409085 T^{21} + 23298085122481 T^{24} \))(\( 1 - 145 T^{3} + 11826 T^{6} - 696725 T^{9} + 33602867 T^{12} - 1530704825 T^{15} + 57081843234 T^{18} - 1537652409085 T^{21} + 23298085122481 T^{24} \))
$17$ (\( 1 + T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 + 9 T + 53 T^{2} + 153 T^{3} + 289 T^{4} \))(\( 1 + 9 T + 53 T^{2} + 153 T^{3} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 - 3 T + 6 T^{2} + 9 T^{3} + 102 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 6 T^{2} + 9 T^{3} + 102 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 59 T^{2} - 232 T^{3} + 1409 T^{4} - 3944 T^{5} + 17051 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 59 T^{2} - 232 T^{3} + 1409 T^{4} - 3944 T^{5} + 17051 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 - 9 T + 28 T^{2} - 171 T^{3} + 1143 T^{4} - 2907 T^{5} + 8092 T^{6} - 44217 T^{7} + 83521 T^{8} \))(\( 1 - 9 T + 28 T^{2} - 171 T^{3} + 1143 T^{4} - 2907 T^{5} + 8092 T^{6} - 44217 T^{7} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( 1 + 3 T + 3 T^{2} + 36 T^{3} - 39 T^{4} + 201 T^{5} + 6694 T^{6} + 3417 T^{7} - 11271 T^{8} + 176868 T^{9} + 250563 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T + 3 T^{2} + 36 T^{3} - 39 T^{4} + 201 T^{5} + 6694 T^{6} + 3417 T^{7} - 11271 T^{8} + 176868 T^{9} + 250563 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 + 6 T - 23 T^{2} - 110 T^{3} + 680 T^{4} + 724 T^{5} - 18869 T^{6} - 6720 T^{7} + 334479 T^{8} - 114240 T^{9} - 5453141 T^{10} + 3557012 T^{11} + 56794280 T^{12} - 156184270 T^{13} - 555164087 T^{14} + 2462032038 T^{15} + 6975757441 T^{16} \))(\( 1 + 6 T - 23 T^{2} - 110 T^{3} + 680 T^{4} + 724 T^{5} - 18869 T^{6} - 6720 T^{7} + 334479 T^{8} - 114240 T^{9} - 5453141 T^{10} + 3557012 T^{11} + 56794280 T^{12} - 156184270 T^{13} - 555164087 T^{14} + 2462032038 T^{15} + 6975757441 T^{16} \))(\( 1 + 12 T + 72 T^{2} + 270 T^{3} + 972 T^{4} + 4980 T^{5} + 23779 T^{6} + 84660 T^{7} + 280908 T^{8} + 1326510 T^{9} + 6013512 T^{10} + 17038284 T^{11} + 24137569 T^{12} \))(\( 1 - 24 T + 252 T^{2} - 1458 T^{3} + 4356 T^{4} - 852 T^{5} - 34973 T^{6} - 14484 T^{7} + 1258884 T^{8} - 7163154 T^{9} + 21047292 T^{10} - 34076568 T^{11} + 24137569 T^{12} \))(\( 1 - 126 T^{3} + 10963 T^{6} - 619038 T^{9} + 24137569 T^{12} \))(\( 1 - 126 T^{3} + 10963 T^{6} - 619038 T^{9} + 24137569 T^{12} \))(\( 1 - 126 T^{3} + 10963 T^{6} - 619038 T^{9} + 24137569 T^{12} \))(\( 1 - 126 T^{3} + 10963 T^{6} - 619038 T^{9} + 24137569 T^{12} \))(\( 1 + 50 T^{3} - 2413 T^{6} + 245650 T^{9} + 24137569 T^{12} \))(\( 1 + 50 T^{3} - 2413 T^{6} + 245650 T^{9} + 24137569 T^{12} \))(\( 1 + 90 T^{3} + 3187 T^{6} + 442170 T^{9} + 24137569 T^{12} \))(\( 1 + 90 T^{3} + 3187 T^{6} + 442170 T^{9} + 24137569 T^{12} \))(\( 1 + 12 T + 108 T^{2} + 702 T^{3} + 3744 T^{4} + 17904 T^{5} + 75187 T^{6} + 304368 T^{7} + 1082016 T^{8} + 3448926 T^{9} + 9020268 T^{10} + 17038284 T^{11} + 24137569 T^{12} \))(\( 1 - 24 T + 252 T^{2} - 1458 T^{3} + 4356 T^{4} - 852 T^{5} - 34973 T^{6} - 14484 T^{7} + 1258884 T^{8} - 7163154 T^{9} + 21047292 T^{10} - 34076568 T^{11} + 24137569 T^{12} \))(\( 1 + 12 T + 72 T^{2} + 270 T^{3} + 972 T^{4} + 4980 T^{5} + 23779 T^{6} + 84660 T^{7} + 280908 T^{8} + 1326510 T^{9} + 6013512 T^{10} + 17038284 T^{11} + 24137569 T^{12} \))(\( ( 1 - 4913 T^{6} + 24137569 T^{12} )^{2} \))(\( ( 1 - 4913 T^{6} + 24137569 T^{12} )^{2} \))(\( 1 + 243 T^{3} + 34612 T^{6} + 3550473 T^{9} + 282921663 T^{12} + 17443473849 T^{15} + 835449538228 T^{18} + 28816853988771 T^{21} + 582622237229761 T^{24} \))(\( 1 + 243 T^{3} + 34612 T^{6} + 3550473 T^{9} + 282921663 T^{12} + 17443473849 T^{15} + 835449538228 T^{18} + 28816853988771 T^{21} + 582622237229761 T^{24} \))
$19$ 1
$23$ (\( 1 - 5 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 - 2 T + 40 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 50 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 50 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 40 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 57 T^{2} - 8 T^{3} + 1311 T^{4} + 12167 T^{6} \))(\( 1 + 57 T^{2} - 8 T^{3} + 1311 T^{4} + 12167 T^{6} \))(\( 1 + 10 T + 42 T^{2} + 30 T^{3} - 346 T^{4} + 690 T^{5} + 22218 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 10 T + 42 T^{2} + 30 T^{3} - 346 T^{4} + 690 T^{5} + 22218 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 5 T + 2 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 2 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 + 6 T - 14 T^{2} + 24 T^{3} + 1143 T^{4} + 552 T^{5} - 7406 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( 1 + 6 T - 14 T^{2} + 24 T^{3} + 1143 T^{4} + 552 T^{5} - 7406 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( 1 + 2 T - 36 T^{2} - 12 T^{3} + 979 T^{4} - 276 T^{5} - 19044 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 - 57 T^{2} - 16 T^{3} + 1938 T^{4} + 456 T^{5} - 50329 T^{6} + 10488 T^{7} + 1025202 T^{8} - 194672 T^{9} - 15950937 T^{10} + 148035889 T^{12} \))(\( 1 - 57 T^{2} - 16 T^{3} + 1938 T^{4} + 456 T^{5} - 50329 T^{6} + 10488 T^{7} + 1025202 T^{8} - 194672 T^{9} - 15950937 T^{10} + 148035889 T^{12} \))(\( 1 - 10 T + 58 T^{2} - 360 T^{3} + 1810 T^{4} - 8870 T^{5} + 52968 T^{6} - 275510 T^{7} + 1319419 T^{8} - 6336730 T^{9} + 28020072 T^{10} - 107921290 T^{11} + 506512210 T^{12} - 2317083480 T^{13} + 8586081562 T^{14} - 34048254470 T^{15} + 78310985281 T^{16} \))(\( 1 - 10 T + 58 T^{2} - 360 T^{3} + 1810 T^{4} - 8870 T^{5} + 52968 T^{6} - 275510 T^{7} + 1319419 T^{8} - 6336730 T^{9} + 28020072 T^{10} - 107921290 T^{11} + 506512210 T^{12} - 2317083480 T^{13} + 8586081562 T^{14} - 34048254470 T^{15} + 78310985281 T^{16} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} - 84 T^{4} + 4500 T^{5} - 24523 T^{6} + 103500 T^{7} - 44436 T^{8} - 778688 T^{9} + 6716184 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} + 600 T^{4} - 4734 T^{5} + 22673 T^{6} - 108882 T^{7} + 317400 T^{8} - 778688 T^{9} + 6716184 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 68 T^{3} - 7543 T^{6} + 827356 T^{9} + 148035889 T^{12} \))(\( 1 + 68 T^{3} - 7543 T^{6} + 827356 T^{9} + 148035889 T^{12} \))(\( 1 - 180 T^{3} + 20233 T^{6} - 2190060 T^{9} + 148035889 T^{12} \))(\( 1 - 180 T^{3} + 20233 T^{6} - 2190060 T^{9} + 148035889 T^{12} \))(\( 1 - 220 T^{3} + 36233 T^{6} - 2676740 T^{9} + 148035889 T^{12} \))(\( 1 - 220 T^{3} + 36233 T^{6} - 2676740 T^{9} + 148035889 T^{12} \))(\( 1 + 198 T^{3} + 27037 T^{6} + 2409066 T^{9} + 148035889 T^{12} \))(\( 1 + 198 T^{3} + 27037 T^{6} + 2409066 T^{9} + 148035889 T^{12} \))(\( 1 + 12 T + 60 T^{2} + 152 T^{3} - 84 T^{4} - 4734 T^{5} - 34459 T^{6} - 108882 T^{7} - 44436 T^{8} + 1849384 T^{9} + 16790460 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} + 600 T^{4} - 4734 T^{5} + 22673 T^{6} - 108882 T^{7} + 317400 T^{8} - 778688 T^{9} + 6716184 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} - 84 T^{4} + 4500 T^{5} - 24523 T^{6} + 103500 T^{7} - 44436 T^{8} - 778688 T^{9} + 6716184 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 - 94 T^{3} + 6660 T^{6} + 2082852 T^{9} - 250808525 T^{12} + 25342060284 T^{15} + 985919020740 T^{18} - 169308350177522 T^{21} + 21914624432020321 T^{24} \))(\( 1 - 94 T^{3} + 6660 T^{6} + 2082852 T^{9} - 250808525 T^{12} + 25342060284 T^{15} + 985919020740 T^{18} - 169308350177522 T^{21} + 21914624432020321 T^{24} \))(\( 1 - 270 T^{3} + 37186 T^{6} - 3072600 T^{9} + 240479607 T^{12} - 37384324200 T^{15} + 5504862568354 T^{18} - 486311218595010 T^{21} + 21914624432020321 T^{24} \))(\( 1 - 270 T^{3} + 37186 T^{6} - 3072600 T^{9} + 240479607 T^{12} - 37384324200 T^{15} + 5504862568354 T^{18} - 486311218595010 T^{21} + 21914624432020321 T^{24} \))
$29$ (\( 1 - 3 T + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 2 T + 52 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 39 T^{2} + 203 T^{3} + 841 T^{4} \))(\( 1 - 7 T + 39 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 + 2 T + 52 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 99 T^{2} + 544 T^{3} + 2871 T^{4} + 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 99 T^{2} - 544 T^{3} + 2871 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 85 T^{2} - 82 T^{3} + 3229 T^{4} - 2378 T^{5} + 71485 T^{6} - 48778 T^{7} + 707281 T^{8} \))(\( 1 + 2 T + 85 T^{2} + 82 T^{3} + 3229 T^{4} + 2378 T^{5} + 71485 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 - 3 T - 20 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 - 29 T^{2} + 841 T^{4} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 - 5 T - 4 T^{2} - 145 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 + 5 T - 4 T^{2} + 145 T^{3} + 841 T^{4} \))(\( 1 + 3 T - 20 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 10 T^{2} - 133 T^{3} - 741 T^{4} - 3857 T^{5} + 8410 T^{6} + 170723 T^{7} + 707281 T^{8} \))(\( 1 - 7 T + 10 T^{2} + 133 T^{3} - 741 T^{4} + 3857 T^{5} + 8410 T^{6} - 170723 T^{7} + 707281 T^{8} \))(\( 1 + 2 T - 48 T^{2} - 12 T^{3} + 1747 T^{4} - 348 T^{5} - 40368 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 + 12 T + 45 T^{2} + 100 T^{3} + 402 T^{4} - 4956 T^{5} - 60619 T^{6} - 143724 T^{7} + 338082 T^{8} + 2438900 T^{9} + 31827645 T^{10} + 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 12 T + 45 T^{2} - 100 T^{3} + 402 T^{4} + 4956 T^{5} - 60619 T^{6} + 143724 T^{7} + 338082 T^{8} - 2438900 T^{9} + 31827645 T^{10} - 246133788 T^{11} + 594823321 T^{12} \))(\( 1 - 2 T - 81 T^{2} - 6 T^{3} + 3832 T^{4} + 3568 T^{5} - 129527 T^{6} - 52266 T^{7} + 3643051 T^{8} - 1515714 T^{9} - 108932207 T^{10} + 87019952 T^{11} + 2710300792 T^{12} - 123066894 T^{13} - 48180689001 T^{14} - 34499752618 T^{15} + 500246412961 T^{16} \))(\( 1 + 2 T - 81 T^{2} + 6 T^{3} + 3832 T^{4} - 3568 T^{5} - 129527 T^{6} + 52266 T^{7} + 3643051 T^{8} + 1515714 T^{9} - 108932207 T^{10} - 87019952 T^{11} + 2710300792 T^{12} + 123066894 T^{13} - 48180689001 T^{14} + 34499752618 T^{15} + 500246412961 T^{16} \))(\( 1 - 36 T^{2} + 68 T^{3} - 252 T^{4} - 1818 T^{5} + 28295 T^{6} - 52722 T^{7} - 211932 T^{8} + 1658452 T^{9} - 25462116 T^{10} + 594823321 T^{12} \))(\( 1 - 18 T + 216 T^{2} - 2012 T^{3} + 15660 T^{4} - 103320 T^{5} + 592055 T^{6} - 2996280 T^{7} + 13170060 T^{8} - 49070668 T^{9} + 152772696 T^{10} - 369200682 T^{11} + 594823321 T^{12} \))(\( 1 + 310 T^{3} + 71711 T^{6} + 7560590 T^{9} + 594823321 T^{12} \))(\( 1 - 310 T^{3} + 71711 T^{6} - 7560590 T^{9} + 594823321 T^{12} \))(\( 1 + 54 T^{3} - 21473 T^{6} + 1317006 T^{9} + 594823321 T^{12} \))(\( 1 - 54 T^{3} - 21473 T^{6} - 1317006 T^{9} + 594823321 T^{12} \))(\( 1 + 234 T^{3} + 30367 T^{6} + 5707026 T^{9} + 594823321 T^{12} \))(\( 1 - 234 T^{3} + 30367 T^{6} - 5707026 T^{9} + 594823321 T^{12} \))(\( 1 - 24389 T^{6} + 594823321 T^{12} \))(\( 1 - 24389 T^{6} + 594823321 T^{12} \))(\( 1 - 18 T + 144 T^{2} - 580 T^{3} + 1440 T^{4} - 7542 T^{5} + 56483 T^{6} - 218718 T^{7} + 1211040 T^{8} - 14145620 T^{9} + 101848464 T^{10} - 369200682 T^{11} + 594823321 T^{12} \))(\( 1 + 18 T + 216 T^{2} + 2012 T^{3} + 15660 T^{4} + 103320 T^{5} + 592055 T^{6} + 2996280 T^{7} + 13170060 T^{8} + 49070668 T^{9} + 152772696 T^{10} + 369200682 T^{11} + 594823321 T^{12} \))(\( 1 - 36 T^{2} - 68 T^{3} - 252 T^{4} + 1818 T^{5} + 28295 T^{6} + 52722 T^{7} - 211932 T^{8} - 1658452 T^{9} - 25462116 T^{10} + 594823321 T^{12} \))(\( 1 + 130 T^{3} + 5400 T^{6} - 4846140 T^{9} - 874747421 T^{12} - 118192508460 T^{15} + 3212045933400 T^{18} + 1885928976862970 T^{21} + 353814783205469041 T^{24} \))(\( 1 - 130 T^{3} + 5400 T^{6} + 4846140 T^{9} - 874747421 T^{12} + 118192508460 T^{15} + 3212045933400 T^{18} - 1885928976862970 T^{21} + 353814783205469041 T^{24} \))(\( 1 + 133 T^{3} - 24230 T^{6} - 912247 T^{9} + 730962219 T^{12} - 22248792083 T^{15} - 14412569067830 T^{18} + 1929450414790577 T^{21} + 353814783205469041 T^{24} \))(\( 1 - 133 T^{3} - 24230 T^{6} + 912247 T^{9} + 730962219 T^{12} + 22248792083 T^{15} - 14412569067830 T^{18} - 1929450414790577 T^{21} + 353814783205469041 T^{24} \))
$31$ (\( 1 - 6 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 6 T + 64 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 - 2 T + 58 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 58 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 64 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 69 T^{2} - 380 T^{3} + 2139 T^{4} - 5766 T^{5} + 29791 T^{6} \))(\( 1 + 6 T + 69 T^{2} + 380 T^{3} + 2139 T^{4} + 5766 T^{5} + 29791 T^{6} \))(\( 1 + 26 T + 370 T^{2} + 3414 T^{3} + 22454 T^{4} + 105834 T^{5} + 355570 T^{6} + 774566 T^{7} + 923521 T^{8} \))(\( 1 - 26 T + 370 T^{2} - 3414 T^{3} + 22454 T^{4} - 105834 T^{5} + 355570 T^{6} - 774566 T^{7} + 923521 T^{8} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 58 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 2 T + 58 T^{2} - 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 6 T + 64 T^{2} - 186 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 6 T + 69 T^{2} + 380 T^{3} + 2139 T^{4} + 5766 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 6 T + 69 T^{2} - 380 T^{3} + 2139 T^{4} - 5766 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 26 T + 370 T^{2} - 3414 T^{3} + 22454 T^{4} - 105834 T^{5} + 355570 T^{6} - 774566 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 26 T + 370 T^{2} + 3414 T^{3} + 22454 T^{4} + 105834 T^{5} + 355570 T^{6} + 774566 T^{7} + 923521 T^{8} )^{2} \))(\( 1 + 6 T - 33 T^{2} - 346 T^{3} + 342 T^{4} + 6318 T^{5} + 21795 T^{6} + 195858 T^{7} + 328662 T^{8} - 10307686 T^{9} - 30476193 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 - 6 T - 33 T^{2} + 346 T^{3} + 342 T^{4} - 6318 T^{5} + 21795 T^{6} - 195858 T^{7} + 328662 T^{8} + 10307686 T^{9} - 30476193 T^{10} - 171774906 T^{11} + 887503681 T^{12} \))(\( ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{3} \))(\( ( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} )^{3} \))(\( ( 1 - 7 T + 31 T^{2} )^{3}( 1 + 11 T + 31 T^{2} )^{3} \))(\( ( 1 - 11 T + 31 T^{2} )^{3}( 1 + 7 T + 31 T^{2} )^{3} \))(\( ( 1 - 6 T + 5 T^{2} - 186 T^{3} + 961 T^{4} )^{3} \))(\( ( 1 + 6 T + 5 T^{2} + 186 T^{3} + 961 T^{4} )^{3} \))(\( ( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} )^{3} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{3} \))(\( 1 + 6 T - 33 T^{2} - 346 T^{3} + 342 T^{4} + 6318 T^{5} + 21795 T^{6} + 195858 T^{7} + 328662 T^{8} - 10307686 T^{9} - 30476193 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 + 6 T - 33 T^{2} - 346 T^{3} + 342 T^{4} + 6318 T^{5} + 21795 T^{6} + 195858 T^{7} + 328662 T^{8} - 10307686 T^{9} - 30476193 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 - 6 T - 33 T^{2} + 346 T^{3} + 342 T^{4} - 6318 T^{5} + 21795 T^{6} - 195858 T^{7} + 328662 T^{8} + 10307686 T^{9} - 30476193 T^{10} - 171774906 T^{11} + 887503681 T^{12} \))(\( ( 1 - 6 T - 28 T^{2} - 12 T^{3} + 2019 T^{4} - 372 T^{5} - 26908 T^{6} - 178746 T^{7} + 923521 T^{8} )^{3} \))(\( ( 1 + 6 T - 28 T^{2} + 12 T^{3} + 2019 T^{4} + 372 T^{5} - 26908 T^{6} + 178746 T^{7} + 923521 T^{8} )^{3} \))(\( ( 1 - 2 T - 54 T^{2} + 8 T^{3} + 2279 T^{4} + 248 T^{5} - 51894 T^{6} - 59582 T^{7} + 923521 T^{8} )^{3} \))(\( ( 1 + 2 T - 54 T^{2} - 8 T^{3} + 2279 T^{4} - 248 T^{5} - 51894 T^{6} + 59582 T^{7} + 923521 T^{8} )^{3} \))
$37$ (\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 76 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 19 T + 163 T^{2} - 703 T^{3} + 1369 T^{4} \))(\( 1 + 19 T + 163 T^{2} + 703 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 76 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 87 T^{2} - 308 T^{3} + 3219 T^{4} - 8214 T^{5} + 50653 T^{6} \))(\( 1 + 6 T + 87 T^{2} + 308 T^{3} + 3219 T^{4} + 8214 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 129 T^{2} + 398 T^{3} + 6789 T^{4} + 14726 T^{5} + 176601 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 4 T + 129 T^{2} - 398 T^{3} + 6789 T^{4} - 14726 T^{5} + 176601 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 19 T + 163 T^{2} + 703 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 19 T + 163 T^{2} - 703 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T + 76 T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T + 87 T^{2} + 308 T^{3} + 3219 T^{4} + 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 6 T + 87 T^{2} - 308 T^{3} + 3219 T^{4} - 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 4 T + 129 T^{2} - 398 T^{3} + 6789 T^{4} - 14726 T^{5} + 176601 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 4 T + 129 T^{2} + 398 T^{3} + 6789 T^{4} + 14726 T^{5} + 176601 T^{6} + 202612 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 6 T + 87 T^{2} - 308 T^{3} + 3219 T^{4} - 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 6 T + 87 T^{2} + 308 T^{3} + 3219 T^{4} + 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{6} \))(\( ( 1 - 2 T + 37 T^{2} )^{6} \))(\( ( 1 + 2 T + 37 T^{2} )^{6} \))(\( ( 1 - 2 T + 37 T^{2} )^{6} \))(\( ( 1 - 6 T + 37 T^{2} )^{6} \))(\( ( 1 + 6 T + 37 T^{2} )^{6} \))(\( ( 1 - 10 T + 37 T^{2} )^{6} \))(\( ( 1 + 10 T + 37 T^{2} )^{6} \))(\( ( 1 - 6 T + 87 T^{2} - 308 T^{3} + 3219 T^{4} - 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 6 T + 87 T^{2} - 308 T^{3} + 3219 T^{4} - 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 6 T + 87 T^{2} + 308 T^{3} + 3219 T^{4} + 8214 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 6 T + 76 T^{2} - 222 T^{3} + 1369 T^{4} )^{6} \))(\( ( 1 + 6 T + 76 T^{2} + 222 T^{3} + 1369 T^{4} )^{6} \))(\( ( 1 + 19 T + 163 T^{2} + 703 T^{3} + 1369 T^{4} )^{6} \))(\( ( 1 - 19 T + 163 T^{2} - 703 T^{3} + 1369 T^{4} )^{6} \))
$41$ (\( 1 + 12 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 10 T + 79 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 + 5 T + 77 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - 5 T + 77 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 79 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( 1 + 120 T^{2} + T^{3} + 4920 T^{4} + 68921 T^{6} \))(\( 1 + 120 T^{2} - T^{3} + 4920 T^{4} + 68921 T^{6} \))(\( 1 - 12 T + 183 T^{2} - 1324 T^{3} + 11285 T^{4} - 54284 T^{5} + 307623 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 183 T^{2} + 1324 T^{3} + 11285 T^{4} + 54284 T^{5} + 307623 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 8 T + 23 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 + 8 T + 23 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 12 T + 103 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 5 T - 52 T^{2} - 25 T^{3} + 3223 T^{4} - 1025 T^{5} - 87412 T^{6} + 344605 T^{7} + 2825761 T^{8} \))(\( 1 - 5 T - 52 T^{2} + 25 T^{3} + 3223 T^{4} + 1025 T^{5} - 87412 T^{6} - 344605 T^{7} + 2825761 T^{8} \))(\( 1 - 10 T + 21 T^{2} + 30 T^{3} + 460 T^{4} + 1230 T^{5} + 35301 T^{6} - 689210 T^{7} + 2825761 T^{8} \))(\( 1 - 120 T^{2} - 2 T^{3} + 9480 T^{4} + 120 T^{5} - 452557 T^{6} + 4920 T^{7} + 15935880 T^{8} - 137842 T^{9} - 339091320 T^{10} + 4750104241 T^{12} \))(\( 1 - 120 T^{2} + 2 T^{3} + 9480 T^{4} - 120 T^{5} - 452557 T^{6} - 4920 T^{7} + 15935880 T^{8} + 137842 T^{9} - 339091320 T^{10} + 4750104241 T^{12} \))(\( 1 - 12 T - 39 T^{2} + 452 T^{3} + 6316 T^{4} - 25736 T^{5} - 348341 T^{6} + 408076 T^{7} + 16207687 T^{8} + 16731116 T^{9} - 585561221 T^{10} - 1773750856 T^{11} + 17847506476 T^{12} + 52367002852 T^{13} - 185254065399 T^{14} - 2337051286572 T^{15} + 7984925229121 T^{16} \))(\( 1 + 12 T - 39 T^{2} - 452 T^{3} + 6316 T^{4} + 25736 T^{5} - 348341 T^{6} - 408076 T^{7} + 16207687 T^{8} - 16731116 T^{9} - 585561221 T^{10} + 1773750856 T^{11} + 17847506476 T^{12} - 52367002852 T^{13} - 185254065399 T^{14} + 2337051286572 T^{15} + 7984925229121 T^{16} \))(\( 1 + 3 T + 6 T^{2} + 8 T^{3} + 249 T^{4} + 5409 T^{5} - 39031 T^{6} + 221769 T^{7} + 418569 T^{8} + 551368 T^{9} + 16954566 T^{10} + 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 + 6 T + 15 T^{2} + 19 T^{3} - 111 T^{4} - 5409 T^{5} - 84418 T^{6} - 221769 T^{7} - 186591 T^{8} + 1309499 T^{9} + 42386415 T^{10} + 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 + 472 T^{3} + 153863 T^{6} + 32530712 T^{9} + 4750104241 T^{12} \))(\( 1 - 472 T^{3} + 153863 T^{6} - 32530712 T^{9} + 4750104241 T^{12} \))(\( 1 - 68921 T^{6} + 4750104241 T^{12} \))(\( 1 - 68921 T^{6} + 4750104241 T^{12} \))(\( 1 + 252 T^{3} - 5417 T^{6} + 17368092 T^{9} + 4750104241 T^{12} \))(\( 1 - 252 T^{3} - 5417 T^{6} - 17368092 T^{9} + 4750104241 T^{12} \))(\( 1 + 378 T^{3} + 73963 T^{6} + 26052138 T^{9} + 4750104241 T^{12} \))(\( 1 - 378 T^{3} + 73963 T^{6} - 26052138 T^{9} + 4750104241 T^{12} \))(\( 1 + 3 T + 6 T^{2} + 8 T^{3} - 111 T^{4} - 9711 T^{5} - 83311 T^{6} - 398151 T^{7} - 186591 T^{8} + 551368 T^{9} + 16954566 T^{10} + 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 - 6 T + 15 T^{2} - 19 T^{3} - 111 T^{4} + 5409 T^{5} - 84418 T^{6} + 221769 T^{7} - 186591 T^{8} - 1309499 T^{9} + 42386415 T^{10} - 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 - 3 T + 6 T^{2} - 8 T^{3} + 249 T^{4} - 5409 T^{5} - 39031 T^{6} - 221769 T^{7} + 418569 T^{8} - 551368 T^{9} + 16954566 T^{10} - 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 - 140 T^{3} - 111942 T^{6} + 882000 T^{9} + 11202341923 T^{12} + 60788322000 T^{15} - 531736168946022 T^{18} - 45833470815154540 T^{21} + 22563490300366186081 T^{24} \))(\( 1 + 140 T^{3} - 111942 T^{6} - 882000 T^{9} + 11202341923 T^{12} - 60788322000 T^{15} - 531736168946022 T^{18} + 45833470815154540 T^{21} + 22563490300366186081 T^{24} \))(\( 1 - 415 T^{3} + 88628 T^{6} + 22511675 T^{9} - 9631565057 T^{12} + 1551527152675 T^{15} + 420992238671348 T^{18} - 135863502773493815 T^{21} + 22563490300366186081 T^{24} \))(\( 1 + 415 T^{3} + 88628 T^{6} - 22511675 T^{9} - 9631565057 T^{12} - 1551527152675 T^{15} + 420992238671348 T^{18} + 135863502773493815 T^{21} + 22563490300366186081 T^{24} \))
$43$ (\( 1 + 10 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 12 T + 94 T^{2} - 516 T^{3} + 1849 T^{4} \))(\( 1 + 14 T + 130 T^{2} + 602 T^{3} + 1849 T^{4} \))(\( 1 + 14 T + 130 T^{2} + 602 T^{3} + 1849 T^{4} \))(\( 1 - 12 T + 94 T^{2} - 516 T^{3} + 1849 T^{4} \))(\( 1 - 9 T + 144 T^{2} - 757 T^{3} + 6192 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 144 T^{2} - 757 T^{3} + 6192 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 + 10 T + 182 T^{2} + 1190 T^{3} + 11854 T^{4} + 51170 T^{5} + 336518 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( 1 + 10 T + 182 T^{2} + 1190 T^{3} + 11854 T^{4} + 51170 T^{5} + 336518 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( 1 - 10 T + 57 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 57 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 - 14 T + 66 T^{2} - 616 T^{3} + 6623 T^{4} - 26488 T^{5} + 122034 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 - 14 T + 66 T^{2} - 616 T^{3} + 6623 T^{4} - 26488 T^{5} + 122034 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 + 12 T + 50 T^{2} + 96 T^{3} + 795 T^{4} + 4128 T^{5} + 92450 T^{6} + 954084 T^{7} + 3418801 T^{8} \))(\( 1 + 9 T - 63 T^{2} - 218 T^{3} + 7731 T^{4} + 14193 T^{5} - 309354 T^{6} + 610299 T^{7} + 14294619 T^{8} - 17332526 T^{9} - 215384463 T^{10} + 1323075987 T^{11} + 6321363049 T^{12} \))(\( 1 + 9 T - 63 T^{2} - 218 T^{3} + 7731 T^{4} + 14193 T^{5} - 309354 T^{6} + 610299 T^{7} + 14294619 T^{8} - 17332526 T^{9} - 215384463 T^{10} + 1323075987 T^{11} + 6321363049 T^{12} \))(\( 1 - 10 T - 82 T^{2} + 560 T^{3} + 9370 T^{4} - 30670 T^{5} - 579992 T^{6} + 359370 T^{7} + 30861339 T^{8} + 15452910 T^{9} - 1072405208 T^{10} - 2438479690 T^{11} + 32034165370 T^{12} + 82324728080 T^{13} - 518351770018 T^{14} - 2718186111070 T^{15} + 11688200277601 T^{16} \))(\( 1 - 10 T - 82 T^{2} + 560 T^{3} + 9370 T^{4} - 30670 T^{5} - 579992 T^{6} + 359370 T^{7} + 30861339 T^{8} + 15452910 T^{9} - 1072405208 T^{10} - 2438479690 T^{11} + 32034165370 T^{12} + 82324728080 T^{13} - 518351770018 T^{14} - 2718186111070 T^{15} + 11688200277601 T^{16} \))(\( 1 + 6 T - 12 T^{2} - 440 T^{3} - 2358 T^{4} + 11970 T^{5} + 159561 T^{6} + 514710 T^{7} - 4359942 T^{8} - 34983080 T^{9} - 41025612 T^{10} + 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 - 12 T + 78 T^{2} - 656 T^{3} + 3366 T^{4} - 9846 T^{5} + 57393 T^{6} - 423378 T^{7} + 6223734 T^{8} - 52156592 T^{9} + 266666478 T^{10} - 1764101316 T^{11} + 6321363049 T^{12} \))(\( 1 - 452 T^{3} + 124797 T^{6} - 35937164 T^{9} + 6321363049 T^{12} \))(\( 1 - 452 T^{3} + 124797 T^{6} - 35937164 T^{9} + 6321363049 T^{12} \))(\( ( 1 - 449 T^{3} + 79507 T^{6} )( 1 - 71 T^{3} + 79507 T^{6} ) \))(\( ( 1 - 449 T^{3} + 79507 T^{6} )( 1 - 71 T^{3} + 79507 T^{6} ) \))(\( 1 + 290 T^{3} + 4593 T^{6} + 23057030 T^{9} + 6321363049 T^{12} \))(\( 1 + 290 T^{3} + 4593 T^{6} + 23057030 T^{9} + 6321363049 T^{12} \))(\( 1 + 452 T^{3} + 124797 T^{6} + 35937164 T^{9} + 6321363049 T^{12} \))(\( 1 + 452 T^{3} + 124797 T^{6} + 35937164 T^{9} + 6321363049 T^{12} \))(\( 1 + 6 T + 42 T^{2} - 116 T^{3} + 1044 T^{4} - 6768 T^{5} + 34173 T^{6} - 291024 T^{7} + 1930356 T^{8} - 9222812 T^{9} + 143589642 T^{10} + 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 - 12 T + 78 T^{2} - 656 T^{3} + 3366 T^{4} - 9846 T^{5} + 57393 T^{6} - 423378 T^{7} + 6223734 T^{8} - 52156592 T^{9} + 266666478 T^{10} - 1764101316 T^{11} + 6321363049 T^{12} \))(\( 1 + 6 T - 12 T^{2} - 440 T^{3} - 2358 T^{4} + 11970 T^{5} + 159561 T^{6} + 514710 T^{7} - 4359942 T^{8} - 34983080 T^{9} - 41025612 T^{10} + 882050658 T^{11} + 6321363049 T^{12} \))(\( 1 - 108 T^{3} - 148894 T^{6} - 166752 T^{9} + 18530138667 T^{12} - 13257951264 T^{15} - 941213029817806 T^{18} - 54280002089179044 T^{21} + 39959630797262576401 T^{24} \))(\( 1 - 108 T^{3} - 148894 T^{6} - 166752 T^{9} + 18530138667 T^{12} - 13257951264 T^{15} - 941213029817806 T^{18} - 54280002089179044 T^{21} + 39959630797262576401 T^{24} \))(\( 1 + 910 T^{3} + 464706 T^{6} + 185985800 T^{9} + 59894089487 T^{12} + 14787173000600 T^{15} + 2937575337048594 T^{18} + 457359276862527130 T^{21} + 39959630797262576401 T^{24} \))(\( 1 + 910 T^{3} + 464706 T^{6} + 185985800 T^{9} + 59894089487 T^{12} + 14787173000600 T^{15} + 2937575337048594 T^{18} + 457359276862527130 T^{21} + 39959630797262576401 T^{24} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 14 T + 136 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 + 74 T^{2} + 2209 T^{4} \))(\( 1 + 74 T^{2} + 2209 T^{4} \))(\( 1 - 14 T + 136 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 69 T^{2} + 268 T^{3} + 3243 T^{4} + 13254 T^{5} + 103823 T^{6} \))(\( 1 + 6 T + 69 T^{2} + 268 T^{3} + 3243 T^{4} + 13254 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 192 T^{2} + 1580 T^{3} + 13706 T^{4} + 74260 T^{5} + 424128 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 192 T^{2} + 1580 T^{3} + 13706 T^{4} + 74260 T^{5} + 424128 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 74 T^{2} + 3267 T^{4} - 163466 T^{6} + 4879681 T^{8} \))(\( 1 - 74 T^{2} + 3267 T^{4} - 163466 T^{6} + 4879681 T^{8} \))(\( 1 + 14 T + 60 T^{2} + 588 T^{3} + 7075 T^{4} + 27636 T^{5} + 132540 T^{6} + 1453522 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T - 33 T^{2} + 122 T^{3} - 90 T^{4} + 7170 T^{5} - 23821 T^{6} + 336990 T^{7} - 198810 T^{8} + 12666406 T^{9} - 161029473 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 6 T - 33 T^{2} + 122 T^{3} - 90 T^{4} + 7170 T^{5} - 23821 T^{6} + 336990 T^{7} - 198810 T^{8} + 12666406 T^{9} - 161029473 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 12 T - 48 T^{2} + 856 T^{3} + 4198 T^{4} - 48676 T^{5} - 178016 T^{6} + 524948 T^{7} + 14112403 T^{8} + 24672556 T^{9} - 393237344 T^{10} - 5053688348 T^{11} + 20484900838 T^{12} + 196319325992 T^{13} - 517402335792 T^{14} - 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 - 12 T - 48 T^{2} + 856 T^{3} + 4198 T^{4} - 48676 T^{5} - 178016 T^{6} + 524948 T^{7} + 14112403 T^{8} + 24672556 T^{9} - 393237344 T^{10} - 5053688348 T^{11} + 20484900838 T^{12} + 196319325992 T^{13} - 517402335792 T^{14} - 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 + 6 T + 48 T^{2} + 290 T^{3} + 588 T^{4} + 13266 T^{5} + 77981 T^{6} + 623502 T^{7} + 1298892 T^{8} + 30108670 T^{9} + 234224688 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 24 T + 336 T^{2} + 3530 T^{3} + 33492 T^{4} + 280062 T^{5} + 2072849 T^{6} + 13162914 T^{7} + 73983828 T^{8} + 366495190 T^{9} + 1639572816 T^{10} + 5504280168 T^{11} + 10779215329 T^{12} \))(\( 1 - 616 T^{3} + 275633 T^{6} - 63954968 T^{9} + 10779215329 T^{12} \))(\( 1 - 616 T^{3} + 275633 T^{6} - 63954968 T^{9} + 10779215329 T^{12} \))(\( 1 - 103823 T^{6} + 10779215329 T^{12} \))(\( 1 - 103823 T^{6} + 10779215329 T^{12} \))(\( 1 + 616 T^{3} + 275633 T^{6} + 63954968 T^{9} + 10779215329 T^{12} \))(\( 1 + 616 T^{3} + 275633 T^{6} + 63954968 T^{9} + 10779215329 T^{12} \))(\( 1 - 103823 T^{6} + 10779215329 T^{12} \))(\( 1 - 103823 T^{6} + 10779215329 T^{12} \))(\( 1 - 30 T + 372 T^{2} - 2086 T^{3} - 2544 T^{4} + 153360 T^{5} - 1460047 T^{6} + 7207920 T^{7} - 5619696 T^{8} - 216574778 T^{9} + 1815241332 T^{10} - 6880350210 T^{11} + 10779215329 T^{12} \))(\( 1 + 24 T + 336 T^{2} + 3530 T^{3} + 33492 T^{4} + 280062 T^{5} + 2072849 T^{6} + 13162914 T^{7} + 73983828 T^{8} + 366495190 T^{9} + 1639572816 T^{10} + 5504280168 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 48 T^{2} + 290 T^{3} + 588 T^{4} + 13266 T^{5} + 77981 T^{6} + 623502 T^{7} + 1298892 T^{8} + 30108670 T^{9} + 234224688 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 994 T^{3} + 534564 T^{6} - 244351044 T^{9} + 92276777827 T^{12} - 25369258441212 T^{15} + 5762180463131556 T^{18} - 1112415690264150398 T^{21} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 994 T^{3} + 534564 T^{6} - 244351044 T^{9} + 92276777827 T^{12} - 25369258441212 T^{15} + 5762180463131556 T^{18} - 1112415690264150398 T^{21} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 85174 T^{6} - 3524605053 T^{12} + 918108886432246 T^{18} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 85174 T^{6} - 3524605053 T^{12} + 918108886432246 T^{18} + \)\(11\!\cdots\!41\)\( T^{24} \))
$53$ (\( 1 - 3 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 4 T - 2 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 + T + 75 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 - T + 75 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 + 4 T - 2 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 75 T^{2} - 136 T^{3} + 3975 T^{4} + 148877 T^{6} \))(\( 1 + 75 T^{2} + 136 T^{3} + 3975 T^{4} + 148877 T^{6} \))(\( 1 + 8 T + 181 T^{2} + 1174 T^{3} + 13749 T^{4} + 62222 T^{5} + 508429 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 181 T^{2} - 1174 T^{3} + 13749 T^{4} - 62222 T^{5} + 508429 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 3 T - 44 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 + T - 52 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 + 3 T - 44 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + T - 74 T^{2} - 31 T^{3} + 2763 T^{4} - 1643 T^{5} - 207866 T^{6} + 148877 T^{7} + 7890481 T^{8} \))(\( 1 - T - 74 T^{2} + 31 T^{3} + 2763 T^{4} + 1643 T^{5} - 207866 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 + 4 T + 18 T^{2} - 432 T^{3} - 3653 T^{4} - 22896 T^{5} + 50562 T^{6} + 595508 T^{7} + 7890481 T^{8} \))(\( 1 - 75 T^{2} + 272 T^{3} + 1650 T^{4} - 10200 T^{5} + 18125 T^{6} - 540600 T^{7} + 4634850 T^{8} + 40494544 T^{9} - 591786075 T^{10} + 22164361129 T^{12} \))(\( 1 - 75 T^{2} - 272 T^{3} + 1650 T^{4} + 10200 T^{5} + 18125 T^{6} + 540600 T^{7} + 4634850 T^{8} - 40494544 T^{9} - 591786075 T^{10} + 22164361129 T^{12} \))(\( 1 + 8 T - 117 T^{2} - 900 T^{3} + 9620 T^{4} + 54732 T^{5} - 591211 T^{6} - 1124590 T^{7} + 35126499 T^{8} - 59603270 T^{9} - 1660711699 T^{10} + 8148335964 T^{11} + 75906427220 T^{12} - 376375943700 T^{13} - 2593230252093 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( 1 - 8 T - 117 T^{2} + 900 T^{3} + 9620 T^{4} - 54732 T^{5} - 591211 T^{6} + 1124590 T^{7} + 35126499 T^{8} + 59603270 T^{9} - 1660711699 T^{10} - 8148335964 T^{11} + 75906427220 T^{12} + 376375943700 T^{13} - 2593230252093 T^{14} - 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( 1 - 30 T + 384 T^{2} - 2384 T^{3} - 2028 T^{4} + 205344 T^{5} - 2162401 T^{6} + 10883232 T^{7} - 5696652 T^{8} - 354922768 T^{9} + 3029944704 T^{10} - 12545864790 T^{11} + 22164361129 T^{12} \))(\( 1 - 6 T + 96 T^{2} - 640 T^{3} + 5064 T^{4} - 38970 T^{5} + 247403 T^{6} - 2065410 T^{7} + 14224776 T^{8} - 95281280 T^{9} + 757486176 T^{10} - 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 158 T^{3} - 123913 T^{6} + 23522566 T^{9} + 22164361129 T^{12} \))(\( 1 - 158 T^{3} - 123913 T^{6} - 23522566 T^{9} + 22164361129 T^{12} \))(\( 1 - 450 T^{3} + 53623 T^{6} - 66994650 T^{9} + 22164361129 T^{12} \))(\( 1 + 450 T^{3} + 53623 T^{6} + 66994650 T^{9} + 22164361129 T^{12} \))(\( 1 + 450 T^{3} + 53623 T^{6} + 66994650 T^{9} + 22164361129 T^{12} \))(\( 1 - 450 T^{3} + 53623 T^{6} - 66994650 T^{9} + 22164361129 T^{12} \))(\( 1 + 738 T^{3} + 395767 T^{6} + 109871226 T^{9} + 22164361129 T^{12} \))(\( 1 - 738 T^{3} + 395767 T^{6} - 109871226 T^{9} + 22164361129 T^{12} \))(\( 1 + 24 T + 276 T^{2} + 2152 T^{3} + 18132 T^{4} + 179262 T^{5} + 1523855 T^{6} + 9500886 T^{7} + 50932788 T^{8} + 320383304 T^{9} + 2177772756 T^{10} + 10036691832 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T + 96 T^{2} + 640 T^{3} + 5064 T^{4} + 38970 T^{5} + 247403 T^{6} + 2065410 T^{7} + 14224776 T^{8} + 95281280 T^{9} + 757486176 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 30 T + 384 T^{2} + 2384 T^{3} - 2028 T^{4} - 205344 T^{5} - 2162401 T^{6} - 10883232 T^{7} - 5696652 T^{8} + 354922768 T^{9} + 3029944704 T^{10} + 12545864790 T^{11} + 22164361129 T^{12} \))(\( 1 - 724 T^{3} + 232578 T^{6} + 4456944 T^{9} - 15172717877 T^{12} + 663536451888 T^{15} + 5154942782660562 T^{18} - 2389028840464744292 T^{21} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 724 T^{3} + 232578 T^{6} - 4456944 T^{9} - 15172717877 T^{12} - 663536451888 T^{15} + 5154942782660562 T^{18} + 2389028840464744292 T^{21} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 65 T^{3} + 209446 T^{6} + 32693375 T^{9} + 19322292387 T^{12} + 4867291589875 T^{15} + 4642236781024534 T^{18} - 214484633467138645 T^{21} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 65 T^{3} + 209446 T^{6} - 32693375 T^{9} + 19322292387 T^{12} - 4867291589875 T^{15} + 4642236781024534 T^{18} + 214484633467138645 T^{21} + \)\(49\!\cdots\!41\)\( T^{24} \))
$59$ (\( 1 + 3 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 55 T^{2} + 3481 T^{4} \))(\( 1 - 8 T + 114 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 114 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 55 T^{2} + 3481 T^{4} \))(\( 1 - 6 T + 168 T^{2} - 711 T^{3} + 9912 T^{4} - 20886 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 168 T^{2} + 711 T^{3} + 9912 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 - 8 T + 240 T^{2} - 1328 T^{3} + 21194 T^{4} - 78352 T^{5} + 835440 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T + 240 T^{2} + 1328 T^{3} + 21194 T^{4} + 78352 T^{5} + 835440 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 15 T + 166 T^{2} + 885 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 - 15 T + 166 T^{2} - 885 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 8 T - 50 T^{2} + 32 T^{3} + 5739 T^{4} + 1888 T^{5} - 174050 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T - 50 T^{2} - 32 T^{3} + 5739 T^{4} - 1888 T^{5} - 174050 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 55 T^{2} - 456 T^{4} - 191455 T^{6} + 12117361 T^{8} \))(\( 1 - 6 T - 132 T^{2} + 414 T^{3} + 14046 T^{4} - 21390 T^{5} - 874253 T^{6} - 1262010 T^{7} + 48894126 T^{8} + 85026906 T^{9} - 1599491652 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 + 6 T - 132 T^{2} - 414 T^{3} + 14046 T^{4} + 21390 T^{5} - 874253 T^{6} + 1262010 T^{7} + 48894126 T^{8} - 85026906 T^{9} - 1599491652 T^{10} + 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 - 8 T - 176 T^{2} + 736 T^{3} + 25782 T^{4} - 57968 T^{5} - 2278912 T^{6} + 1136776 T^{7} + 158799731 T^{8} + 67069784 T^{9} - 7932892672 T^{10} - 11905409872 T^{11} + 312409801302 T^{12} + 526184284064 T^{13} - 7423773920816 T^{14} - 19909211878552 T^{15} + 146830437604321 T^{16} \))(\( 1 + 8 T - 176 T^{2} - 736 T^{3} + 25782 T^{4} + 57968 T^{5} - 2278912 T^{6} - 1136776 T^{7} + 158799731 T^{8} - 67069784 T^{9} - 7932892672 T^{10} + 11905409872 T^{11} + 312409801302 T^{12} - 526184284064 T^{13} - 7423773920816 T^{14} + 19909211878552 T^{15} + 146830437604321 T^{16} \))(\( 1 + 15 T + 72 T^{2} - 270 T^{3} - 4185 T^{4} - 12009 T^{5} - 17927 T^{6} - 708531 T^{7} - 14567985 T^{8} - 55452330 T^{9} + 872449992 T^{10} + 10723864485 T^{11} + 42180533641 T^{12} \))(\( 1 + 12 T + 63 T^{2} + 405 T^{3} - 1557 T^{4} - 56967 T^{5} - 487862 T^{6} - 3361053 T^{7} - 5419917 T^{8} + 83178495 T^{9} + 763393743 T^{10} + 8579091588 T^{11} + 42180533641 T^{12} \))(\( 1 + 720 T^{3} + 313021 T^{6} + 147872880 T^{9} + 42180533641 T^{12} \))(\( 1 - 720 T^{3} + 313021 T^{6} - 147872880 T^{9} + 42180533641 T^{12} \))(\( 1 + 864 T^{3} + 541117 T^{6} + 177447456 T^{9} + 42180533641 T^{12} \))(\( 1 - 864 T^{3} + 541117 T^{6} - 177447456 T^{9} + 42180533641 T^{12} \))(\( 1 - 504 T^{3} + 48637 T^{6} - 103511016 T^{9} + 42180533641 T^{12} \))(\( 1 + 504 T^{3} + 48637 T^{6} + 103511016 T^{9} + 42180533641 T^{12} \))(\( 1 - 864 T^{3} + 541117 T^{6} - 177447456 T^{9} + 42180533641 T^{12} \))(\( 1 + 864 T^{3} + 541117 T^{6} + 177447456 T^{9} + 42180533641 T^{12} \))(\( 1 - 3 T + 54 T^{2} - 378 T^{3} + 5823 T^{4} - 40179 T^{5} + 259255 T^{6} - 2370561 T^{7} + 20269863 T^{8} - 77633262 T^{9} + 654337494 T^{10} - 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 - 12 T + 63 T^{2} - 405 T^{3} - 1557 T^{4} + 56967 T^{5} - 487862 T^{6} + 3361053 T^{7} - 5419917 T^{8} - 83178495 T^{9} + 763393743 T^{10} - 8579091588 T^{11} + 42180533641 T^{12} \))(\( 1 - 15 T + 72 T^{2} + 270 T^{3} - 4185 T^{4} + 12009 T^{5} - 17927 T^{6} + 708531 T^{7} - 14567985 T^{8} + 55452330 T^{9} + 872449992 T^{10} - 10723864485 T^{11} + 42180533641 T^{12} \))(\( 1 + 407990 T^{6} + 124275306459 T^{12} + 17209235920191590 T^{18} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 407990 T^{6} + 124275306459 T^{12} + 17209235920191590 T^{18} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 808 T^{3} + 316510 T^{6} - 60118432 T^{9} - 63131075781 T^{12} - 12347063445728 T^{15} + 13350560702712910 T^{18} + 6999700621473190712 T^{21} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 808 T^{3} + 316510 T^{6} + 60118432 T^{9} - 63131075781 T^{12} + 12347063445728 T^{15} + 13350560702712910 T^{18} - 6999700621473190712 T^{21} + \)\(17\!\cdots\!81\)\( T^{24} \))
$61$ (\( 1 + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 14 T + 108 T^{2} + 854 T^{3} + 3721 T^{4} \))(\( 1 - 5 T + 127 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 5 T + 127 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 + 14 T + 108 T^{2} + 854 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 279 T^{2} - 2348 T^{3} + 17019 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 - 18 T + 279 T^{2} - 2348 T^{3} + 17019 T^{4} - 66978 T^{5} + 226981 T^{6} \))(\( 1 + 129 T^{2} + 150 T^{3} + 9321 T^{4} + 9150 T^{5} + 480009 T^{6} + 13845841 T^{8} \))(\( 1 + 129 T^{2} + 150 T^{3} + 9321 T^{4} + 9150 T^{5} + 480009 T^{6} + 13845841 T^{8} \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( 1 + 5 T - 102 T^{2} + 25 T^{3} + 10883 T^{4} + 1525 T^{5} - 379542 T^{6} + 1134905 T^{7} + 13845841 T^{8} \))(\( 1 + 5 T - 102 T^{2} + 25 T^{3} + 10883 T^{4} + 1525 T^{5} - 379542 T^{6} + 1134905 T^{7} + 13845841 T^{8} \))(\( 1 - 14 T + 88 T^{2} + 196 T^{3} - 4013 T^{4} + 11956 T^{5} + 327448 T^{6} - 3177734 T^{7} + 13845841 T^{8} \))(\( 1 + 18 T + 45 T^{2} + 326 T^{3} + 18558 T^{4} + 109386 T^{5} + 13161 T^{6} + 6672546 T^{7} + 69054318 T^{8} + 73995806 T^{9} + 623062845 T^{10} + 15202733418 T^{11} + 51520374361 T^{12} \))(\( 1 + 18 T + 45 T^{2} + 326 T^{3} + 18558 T^{4} + 109386 T^{5} + 13161 T^{6} + 6672546 T^{7} + 69054318 T^{8} + 73995806 T^{9} + 623062845 T^{10} + 15202733418 T^{11} + 51520374361 T^{12} \))(\( 1 - 129 T^{2} + 300 T^{3} + 7320 T^{4} - 28500 T^{5} - 219891 T^{6} + 962550 T^{7} + 9741539 T^{8} + 58715550 T^{9} - 818214411 T^{10} - 6468958500 T^{11} + 101351556120 T^{12} + 253378890300 T^{13} - 6646128292569 T^{14} + 191707312997281 T^{16} \))(\( 1 - 129 T^{2} + 300 T^{3} + 7320 T^{4} - 28500 T^{5} - 219891 T^{6} + 962550 T^{7} + 9741539 T^{8} + 58715550 T^{9} - 818214411 T^{10} - 6468958500 T^{11} + 101351556120 T^{12} + 253378890300 T^{13} - 6646128292569 T^{14} + 191707312997281 T^{16} \))(\( 1 - 6 T + 96 T^{2} - 1234 T^{3} + 11628 T^{4} - 85302 T^{5} + 953415 T^{6} - 5203422 T^{7} + 43267788 T^{8} - 280094554 T^{9} + 1329200736 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 12 T + 24 T^{2} - 1018 T^{3} - 7596 T^{4} + 16866 T^{5} + 630603 T^{6} + 1028826 T^{7} - 28264716 T^{8} - 231066658 T^{9} + 332300184 T^{10} + 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 - 358 T^{3} - 98817 T^{6} - 81259198 T^{9} + 51520374361 T^{12} \))(\( 1 - 358 T^{3} - 98817 T^{6} - 81259198 T^{9} + 51520374361 T^{12} \))(\( 1 + 830 T^{3} + 461919 T^{6} + 188394230 T^{9} + 51520374361 T^{12} \))(\( 1 + 830 T^{3} + 461919 T^{6} + 188394230 T^{9} + 51520374361 T^{12} \))(\( 1 - 226981 T^{6} + 51520374361 T^{12} \))(\( 1 - 226981 T^{6} + 51520374361 T^{12} \))(\( 1 + 668 T^{3} + 219243 T^{6} + 151623308 T^{9} + 51520374361 T^{12} \))(\( 1 + 668 T^{3} + 219243 T^{6} + 151623308 T^{9} + 51520374361 T^{12} \))(\( 1 - 6 T - 12 T^{2} - 586 T^{3} - 1008 T^{4} + 15732 T^{5} + 419787 T^{6} + 959652 T^{7} - 3750768 T^{8} - 133010866 T^{9} - 166150092 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 12 T + 24 T^{2} - 1018 T^{3} - 7596 T^{4} + 16866 T^{5} + 630603 T^{6} + 1028826 T^{7} - 28264716 T^{8} - 231066658 T^{9} + 332300184 T^{10} + 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T + 96 T^{2} - 1234 T^{3} + 11628 T^{4} - 85302 T^{5} + 953415 T^{6} - 5203422 T^{7} + 43267788 T^{8} - 280094554 T^{9} + 1329200736 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 770 T^{3} + 36640 T^{6} - 78769460 T^{9} + 123327778339 T^{12} - 17879170800260 T^{15} + 1887706516587040 T^{18} - 9004492491482288570 T^{21} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 770 T^{3} + 36640 T^{6} - 78769460 T^{9} + 123327778339 T^{12} - 17879170800260 T^{15} + 1887706516587040 T^{18} - 9004492491482288570 T^{21} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 865 T^{3} + 140418 T^{6} - 133075925 T^{9} + 148076116163 T^{12} - 30205706532425 T^{15} + 7234387927022898 T^{18} - 10115436370301531965 T^{21} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 865 T^{3} + 140418 T^{6} - 133075925 T^{9} + 148076116163 T^{12} - 30205706532425 T^{15} + 7234387927022898 T^{18} - 10115436370301531965 T^{21} + \)\(26\!\cdots\!21\)\( T^{24} \))
$67$ (\( 1 + 15 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 15 T + 67 T^{2} \))(\( 1 - 4 T + 131 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 10 T + 114 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( 1 + 10 T + 114 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 131 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 18 T + 282 T^{2} - 2493 T^{3} + 18894 T^{4} - 80802 T^{5} + 300763 T^{6} \))(\( 1 + 18 T + 282 T^{2} + 2493 T^{3} + 18894 T^{4} + 80802 T^{5} + 300763 T^{6} \))(\( 1 + 10 T + 238 T^{2} + 1870 T^{3} + 22894 T^{4} + 125290 T^{5} + 1068382 T^{6} + 3007630 T^{7} + 20151121 T^{8} \))(\( 1 - 10 T + 238 T^{2} - 1870 T^{3} + 22894 T^{4} - 125290 T^{5} + 1068382 T^{6} - 3007630 T^{7} + 20151121 T^{8} \))(\( 1 + 15 T + 158 T^{2} + 1005 T^{3} + 4489 T^{4} \))(\( 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} \))(\( 1 - 15 T + 158 T^{2} - 1005 T^{3} + 4489 T^{4} \))(\( 1 - 10 T - 14 T^{2} + 200 T^{3} + 1807 T^{4} + 13400 T^{5} - 62846 T^{6} - 3007630 T^{7} + 20151121 T^{8} \))(\( 1 + 10 T - 14 T^{2} - 200 T^{3} + 1807 T^{4} - 13400 T^{5} - 62846 T^{6} + 3007630 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T - 115 T^{2} - 12 T^{3} + 11600 T^{4} - 804 T^{5} - 516235 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 18 T + 42 T^{2} - 90 T^{3} + 15756 T^{4} - 103644 T^{5} + 34031 T^{6} - 6944148 T^{7} + 70728684 T^{8} - 27068670 T^{9} + 846347082 T^{10} - 24302251926 T^{11} + 90458382169 T^{12} \))(\( 1 + 18 T + 42 T^{2} + 90 T^{3} + 15756 T^{4} + 103644 T^{5} + 34031 T^{6} + 6944148 T^{7} + 70728684 T^{8} + 27068670 T^{9} + 846347082 T^{10} + 24302251926 T^{11} + 90458382169 T^{12} \))(\( 1 + 10 T - 138 T^{2} - 1360 T^{3} + 15050 T^{4} + 112470 T^{5} - 1068008 T^{6} - 3134810 T^{7} + 75569499 T^{8} - 210032270 T^{9} - 4794287912 T^{10} + 33826814610 T^{11} + 303274371050 T^{12} - 1836170145520 T^{13} - 12483256739322 T^{14} + 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 - 10 T - 138 T^{2} + 1360 T^{3} + 15050 T^{4} - 112470 T^{5} - 1068008 T^{6} + 3134810 T^{7} + 75569499 T^{8} + 210032270 T^{9} - 4794287912 T^{10} - 33826814610 T^{11} + 303274371050 T^{12} + 1836170145520 T^{13} - 12483256739322 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 + 18 T + 81 T^{2} - 1125 T^{3} - 13365 T^{4} + 1881 T^{5} + 747782 T^{6} + 126027 T^{7} - 59995485 T^{8} - 338358375 T^{9} + 1632240801 T^{10} + 24302251926 T^{11} + 90458382169 T^{12} \))(\( 1 + 9 T + 396 T^{3} - 2511 T^{4} - 31959 T^{5} + 308195 T^{6} - 2141253 T^{7} - 11271879 T^{8} + 119102148 T^{9} + 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 - 576 T^{3} + 31013 T^{6} - 173239488 T^{9} + 90458382169 T^{12} \))(\( 1 + 576 T^{3} + 31013 T^{6} + 173239488 T^{9} + 90458382169 T^{12} \))(\( ( 1 - 127 T^{3} + 300763 T^{6} )( 1 + 1007 T^{3} + 300763 T^{6} ) \))(\( ( 1 - 1007 T^{3} + 300763 T^{6} )( 1 + 127 T^{3} + 300763 T^{6} ) \))(\( 1 + 360 T^{3} - 171163 T^{6} + 108274680 T^{9} + 90458382169 T^{12} \))(\( 1 - 360 T^{3} - 171163 T^{6} - 108274680 T^{9} + 90458382169 T^{12} \))(\( 1 - 1064 T^{3} + 831333 T^{6} - 320011832 T^{9} + 90458382169 T^{12} \))(\( 1 + 1064 T^{3} + 831333 T^{6} + 320011832 T^{9} + 90458382169 T^{12} \))(\( 1 - 9 T + 162 T^{2} - 1854 T^{3} + 22437 T^{4} - 180369 T^{5} + 1838609 T^{6} - 12084723 T^{7} + 100719693 T^{8} - 557614602 T^{9} + 3264481602 T^{10} - 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 - 9 T - 396 T^{3} - 2511 T^{4} + 31959 T^{5} + 308195 T^{6} + 2141253 T^{7} - 11271879 T^{8} - 119102148 T^{9} - 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 - 18 T + 81 T^{2} + 1125 T^{3} - 13365 T^{4} - 1881 T^{5} + 747782 T^{6} - 126027 T^{7} - 59995485 T^{8} + 338358375 T^{9} + 1632240801 T^{10} - 24302251926 T^{11} + 90458382169 T^{12} \))(\( 1 + 704 T^{3} + 2054 T^{6} - 76006656 T^{9} + 4082110667 T^{12} - 22859989878528 T^{15} + 185801516975126 T^{18} + 19153400214991642688 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 704 T^{3} + 2054 T^{6} + 76006656 T^{9} + 4082110667 T^{12} + 22859989878528 T^{15} + 185801516975126 T^{18} - 19153400214991642688 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 410 T^{3} - 180206 T^{6} - 103820200 T^{9} - 19699572833 T^{12} - 31225274812600 T^{15} - 16301143217146814 T^{18} + 11154679102480928270 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 410 T^{3} - 180206 T^{6} + 103820200 T^{9} - 19699572833 T^{12} + 31225274812600 T^{15} - 16301143217146814 T^{18} - 11154679102480928270 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))
$71$ (\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 16 T + 178 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 98 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 178 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 225 T^{2} - 1552 T^{3} + 15975 T^{4} - 60492 T^{5} + 357911 T^{6} \))(\( 1 + 12 T + 225 T^{2} + 1552 T^{3} + 15975 T^{4} + 60492 T^{5} + 357911 T^{6} \))(\( 1 + 184 T^{2} + 360 T^{3} + 16026 T^{4} + 25560 T^{5} + 927544 T^{6} + 25411681 T^{8} \))(\( 1 + 184 T^{2} - 360 T^{3} + 16026 T^{4} - 25560 T^{5} + 927544 T^{6} + 25411681 T^{8} \))(\( 1 - 71 T^{2} + 5041 T^{4} \))(\( 1 + 6 T - 35 T^{2} + 426 T^{3} + 5041 T^{4} \))(\( 1 + 6 T - 35 T^{2} + 426 T^{3} + 5041 T^{4} \))(\( 1 + 2 T - 67 T^{2} + 142 T^{3} + 5041 T^{4} \))(\( 1 - 6 T - 35 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 - 2 T - 67 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 - 71 T^{2} + 5041 T^{4} \))(\( 1 + 12 T + 46 T^{2} - 528 T^{3} - 5661 T^{4} - 37488 T^{5} + 231886 T^{6} + 4294932 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T + 46 T^{2} + 528 T^{3} - 5661 T^{4} + 37488 T^{5} + 231886 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 16 T + 78 T^{2} + 576 T^{3} + 8467 T^{4} + 40896 T^{5} + 393198 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T - 81 T^{2} + 404 T^{3} + 16026 T^{4} - 26292 T^{5} - 1195753 T^{6} - 1866732 T^{7} + 80787066 T^{8} + 144596044 T^{9} - 2058346161 T^{10} - 21650752212 T^{11} + 128100283921 T^{12} \))(\( 1 + 12 T - 81 T^{2} - 404 T^{3} + 16026 T^{4} + 26292 T^{5} - 1195753 T^{6} + 1866732 T^{7} + 80787066 T^{8} - 144596044 T^{9} - 2058346161 T^{10} + 21650752212 T^{11} + 128100283921 T^{12} \))(\( 1 - 184 T^{2} - 720 T^{3} + 17830 T^{4} + 91800 T^{5} - 964096 T^{6} - 3636720 T^{7} + 51551299 T^{8} - 258207120 T^{9} - 4860007936 T^{10} + 32856229800 T^{11} + 453090272230 T^{12} - 1299045132720 T^{13} - 23570452241464 T^{14} + 645753531245761 T^{16} \))(\( 1 - 184 T^{2} + 720 T^{3} + 17830 T^{4} - 91800 T^{5} - 964096 T^{6} + 3636720 T^{7} + 51551299 T^{8} + 258207120 T^{9} - 4860007936 T^{10} - 32856229800 T^{11} + 453090272230 T^{12} + 1299045132720 T^{13} - 23570452241464 T^{14} + 645753531245761 T^{16} \))(\( 1 + 18 T + 144 T^{2} + 76 T^{3} - 4608 T^{4} - 58986 T^{5} - 408079 T^{6} - 4188006 T^{7} - 23228928 T^{8} + 27201236 T^{9} + 3659282064 T^{10} + 32476128318 T^{11} + 128100283921 T^{12} \))(\( 1 - 36 T^{2} + 572 T^{3} - 4788 T^{4} - 50202 T^{5} + 489077 T^{6} - 3564342 T^{7} - 24136308 T^{8} + 204725092 T^{9} - 914820516 T^{10} + 128100283921 T^{12} \))(\( 1 - 418 T^{3} - 183187 T^{6} - 149606798 T^{9} + 128100283921 T^{12} \))(\( 1 + 418 T^{3} - 183187 T^{6} + 149606798 T^{9} + 128100283921 T^{12} \))(\( 1 - 1062 T^{3} + 769933 T^{6} - 380101482 T^{9} + 128100283921 T^{12} \))(\( 1 + 1062 T^{3} + 769933 T^{6} + 380101482 T^{9} + 128100283921 T^{12} \))(\( 1 - 357911 T^{6} + 128100283921 T^{12} \))(\( 1 - 357911 T^{6} + 128100283921 T^{12} \))(\( 1 - 1062 T^{3} + 769933 T^{6} - 380101482 T^{9} + 128100283921 T^{12} \))(\( 1 + 1062 T^{3} + 769933 T^{6} + 380101482 T^{9} + 128100283921 T^{12} \))(\( 1 - 18 T + 216 T^{2} - 2516 T^{3} + 26244 T^{4} - 221256 T^{5} + 1869317 T^{6} - 15709176 T^{7} + 132296004 T^{8} - 900504076 T^{9} + 5488923096 T^{10} - 32476128318 T^{11} + 128100283921 T^{12} \))(\( 1 - 36 T^{2} - 572 T^{3} - 4788 T^{4} + 50202 T^{5} + 489077 T^{6} + 3564342 T^{7} - 24136308 T^{8} - 204725092 T^{9} - 914820516 T^{10} + 128100283921 T^{12} \))(\( 1 - 18 T + 144 T^{2} - 76 T^{3} - 4608 T^{4} + 58986 T^{5} - 408079 T^{6} + 4188006 T^{7} - 23228928 T^{8} - 27201236 T^{9} + 3659282064 T^{10} - 32476128318 T^{11} + 128100283921 T^{12} \))(\( 1 + 1040 T^{3} + 96750 T^{6} + 279789120 T^{9} + 454712700979 T^{12} + 100139603728320 T^{15} + 12393702469356750 T^{18} + 47682440747186992240 T^{21} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 1040 T^{3} + 96750 T^{6} - 279789120 T^{9} + 454712700979 T^{12} - 100139603728320 T^{15} + 12393702469356750 T^{18} - 47682440747186992240 T^{21} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 756 T^{3} - 237170 T^{6} + 70220304 T^{9} + 321346089219 T^{12} + 25132619224944 T^{15} - 30381544337543570 T^{18} + 34661466543147467436 T^{21} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 756 T^{3} - 237170 T^{6} - 70220304 T^{9} + 321346089219 T^{12} - 25132619224944 T^{15} - 30381544337543570 T^{18} - 34661466543147467436 T^{21} + \)\(16\!\cdots\!41\)\( T^{24} \))
$73$ (\( 1 + 11 T + 73 T^{2} \))(\( 1 - 9 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 - 14 T + 167 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 + 9 T + 165 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( 1 + 9 T + 165 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 167 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 156 T^{2} - 1695 T^{3} + 11388 T^{4} - 63948 T^{5} + 389017 T^{6} \))(\( 1 - 12 T + 156 T^{2} - 1695 T^{3} + 11388 T^{4} - 63948 T^{5} + 389017 T^{6} \))(\( 1 + 14 T + 343 T^{2} + 3060 T^{3} + 39281 T^{4} + 223380 T^{5} + 1827847 T^{6} + 5446238 T^{7} + 28398241 T^{8} \))(\( 1 + 14 T + 343 T^{2} + 3060 T^{3} + 39281 T^{4} + 223380 T^{5} + 1827847 T^{6} + 5446238 T^{7} + 28398241 T^{8} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( 1 - T - 72 T^{2} - 73 T^{3} + 5329 T^{4} \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 10 T + 73 T^{2} ) \))(\( 1 + 9 T + 8 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 10 T + 73 T^{2} ) \))(\( 1 + 9 T + 8 T^{2} + 657 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( 1 - 9 T - 84 T^{2} - 171 T^{3} + 15983 T^{4} - 12483 T^{5} - 447636 T^{6} - 3501153 T^{7} + 28398241 T^{8} \))(\( 1 - 9 T - 84 T^{2} - 171 T^{3} + 15983 T^{4} - 12483 T^{5} - 447636 T^{6} - 3501153 T^{7} + 28398241 T^{8} \))(\( 1 + 14 T + 29 T^{2} + 294 T^{3} + 8252 T^{4} + 21462 T^{5} + 154541 T^{6} + 5446238 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T - 12 T^{2} - 1518 T^{3} - 7392 T^{4} + 55056 T^{5} + 1107155 T^{6} + 4019088 T^{7} - 39391968 T^{8} - 590527806 T^{9} - 340778892 T^{10} + 24876859116 T^{11} + 151334226289 T^{12} \))(\( 1 + 12 T - 12 T^{2} - 1518 T^{3} - 7392 T^{4} + 55056 T^{5} + 1107155 T^{6} + 4019088 T^{7} - 39391968 T^{8} - 590527806 T^{9} - 340778892 T^{10} + 24876859116 T^{11} + 151334226289 T^{12} \))(\( 1 - 14 T - 147 T^{2} + 1318 T^{3} + 35528 T^{4} - 173092 T^{5} - 3581409 T^{6} + 2002724 T^{7} + 356599063 T^{8} + 146198852 T^{9} - 19085328561 T^{10} - 67335730564 T^{11} + 1008932706248 T^{12} + 2732308359574 T^{13} - 22246131264483 T^{14} - 154663579267358 T^{15} + 806460091894081 T^{16} \))(\( 1 - 14 T - 147 T^{2} + 1318 T^{3} + 35528 T^{4} - 173092 T^{5} - 3581409 T^{6} + 2002724 T^{7} + 356599063 T^{8} + 146198852 T^{9} - 19085328561 T^{10} - 67335730564 T^{11} + 1008932706248 T^{12} + 2732308359574 T^{13} - 22246131264483 T^{14} - 154663579267358 T^{15} + 806460091894081 T^{16} \))(\( 1 - 33 T + 486 T^{2} - 3660 T^{3} + 1593 T^{4} + 296733 T^{5} - 3685879 T^{6} + 21661509 T^{7} + 8489097 T^{8} - 1423802220 T^{9} + 13801545126 T^{10} - 68411362569 T^{11} + 151334226289 T^{12} \))(\( 1 + 3 T + 234 T^{2} + 1092 T^{3} + 30069 T^{4} + 154137 T^{5} + 2558249 T^{6} + 11252001 T^{7} + 160237701 T^{8} + 424806564 T^{9} + 6645188394 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 - 1242 T^{3} + 1153547 T^{6} - 483159114 T^{9} + 151334226289 T^{12} \))(\( 1 - 1242 T^{3} + 1153547 T^{6} - 483159114 T^{9} + 151334226289 T^{12} \))(\( ( 1 + 271 T^{3} + 389017 T^{6} )( 1 + 919 T^{3} + 389017 T^{6} ) \))(\( ( 1 + 271 T^{3} + 389017 T^{6} )( 1 + 919 T^{3} + 389017 T^{6} ) \))(\( 1 + 1078 T^{3} + 773067 T^{6} + 419360326 T^{9} + 151334226289 T^{12} \))(\( 1 + 1078 T^{3} + 773067 T^{6} + 419360326 T^{9} + 151334226289 T^{12} \))(\( 1 + 218 T^{3} - 341493 T^{6} + 84805706 T^{9} + 151334226289 T^{12} \))(\( 1 + 218 T^{3} - 341493 T^{6} + 84805706 T^{9} + 151334226289 T^{12} \))(\( 1 + 30 T + 279 T^{2} - 231 T^{3} - 13599 T^{4} + 110865 T^{5} + 2572046 T^{6} + 8093145 T^{7} - 72469071 T^{8} - 89862927 T^{9} + 7923109239 T^{10} + 62192147790 T^{11} + 151334226289 T^{12} \))(\( 1 + 3 T + 234 T^{2} + 1092 T^{3} + 30069 T^{4} + 154137 T^{5} + 2558249 T^{6} + 11252001 T^{7} + 160237701 T^{8} + 424806564 T^{9} + 6645188394 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 - 33 T + 486 T^{2} - 3660 T^{3} + 1593 T^{4} + 296733 T^{5} - 3685879 T^{6} + 21661509 T^{7} + 8489097 T^{8} - 1423802220 T^{9} + 13801545126 T^{10} - 68411362569 T^{11} + 151334226289 T^{12} \))(\( 1 - 1204 T^{3} + 363386 T^{6} - 371067984 T^{9} + 464636119139 T^{12} - 144351753931728 T^{15} + 54992739154254554 T^{18} - 70881390396754567252 T^{21} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 1204 T^{3} + 363386 T^{6} - 371067984 T^{9} + 464636119139 T^{12} - 144351753931728 T^{15} + 54992739154254554 T^{18} - 70881390396754567252 T^{21} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 1755 T^{3} + 1562796 T^{6} + 1297287225 T^{9} + 952467526727 T^{12} + 504666784407825 T^{15} + 236504523507544044 T^{18} + \)\(10\!\cdots\!15\)\( T^{21} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 1755 T^{3} + 1562796 T^{6} + 1297287225 T^{9} + 952467526727 T^{12} + 504666784407825 T^{15} + 236504523507544044 T^{18} + \)\(10\!\cdots\!15\)\( T^{21} + \)\(22\!\cdots\!21\)\( T^{24} \))
$79$ (\( 1 - 12 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( 1 + 10 T + 178 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 178 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( 1 - 18 T + 333 T^{2} - 2980 T^{3} + 26307 T^{4} - 112338 T^{5} + 493039 T^{6} \))(\( 1 + 18 T + 333 T^{2} + 2980 T^{3} + 26307 T^{4} + 112338 T^{5} + 493039 T^{6} \))(\( 1 + 22 T + 410 T^{2} + 4482 T^{3} + 47574 T^{4} + 354078 T^{5} + 2558810 T^{6} + 10846858 T^{7} + 38950081 T^{8} \))(\( 1 - 22 T + 410 T^{2} - 4482 T^{3} + 47574 T^{4} - 354078 T^{5} + 2558810 T^{6} - 10846858 T^{7} + 38950081 T^{8} \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( ( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 65 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + 10 T - 78 T^{2} + 200 T^{3} + 17543 T^{4} + 15800 T^{5} - 486798 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( 1 - 10 T - 78 T^{2} - 200 T^{3} + 17543 T^{4} - 15800 T^{5} - 486798 T^{6} - 4930390 T^{7} + 38950081 T^{8} \))(\( ( 1 - 13 T + 79 T^{2} )^{2}( 1 + 17 T + 79 T^{2} )^{2} \))(\( 1 - 18 T - 9 T^{2} - 34 T^{3} + 30942 T^{4} - 157626 T^{5} - 915837 T^{6} - 12452454 T^{7} + 193109022 T^{8} - 16763326 T^{9} - 350550729 T^{10} - 55387015182 T^{11} + 243087455521 T^{12} \))(\( 1 + 18 T - 9 T^{2} + 34 T^{3} + 30942 T^{4} + 157626 T^{5} - 915837 T^{6} + 12452454 T^{7} + 193109022 T^{8} + 16763326 T^{9} - 350550729 T^{10} + 55387015182 T^{11} + 243087455521 T^{12} \))(\( 1 + 22 T + 74 T^{2} + 56 T^{3} + 21922 T^{4} + 98442 T^{5} - 2089112 T^{6} - 9976614 T^{7} + 65507451 T^{8} - 788152506 T^{9} - 13038147992 T^{10} + 48535745238 T^{11} + 853863675682 T^{12} + 172315158344 T^{13} + 17988471708554 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 22 T + 74 T^{2} - 56 T^{3} + 21922 T^{4} - 98442 T^{5} - 2089112 T^{6} + 9976614 T^{7} + 65507451 T^{8} + 788152506 T^{9} - 13038147992 T^{10} - 48535745238 T^{11} + 853863675682 T^{12} - 172315158344 T^{13} + 17988471708554 T^{14} - 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 12 T + 96 T^{2} - 1646 T^{3} + 11484 T^{4} - 81954 T^{5} + 1197729 T^{6} - 6474366 T^{7} + 71671644 T^{8} - 811542194 T^{9} + 3739207776 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 6 T + 60 T^{2} + 782 T^{3} + 2952 T^{4} + 9108 T^{5} + 924705 T^{6} + 719532 T^{7} + 18423432 T^{8} + 385556498 T^{9} + 2337004860 T^{10} - 18462338394 T^{11} + 243087455521 T^{12} \))(\( 1 + 1370 T^{3} + 1383861 T^{6} + 675463430 T^{9} + 243087455521 T^{12} \))(\( 1 - 1370 T^{3} + 1383861 T^{6} - 675463430 T^{9} + 243087455521 T^{12} \))(\( 1 - 1370 T^{3} + 1383861 T^{6} - 675463430 T^{9} + 243087455521 T^{12} \))(\( 1 + 1370 T^{3} + 1383861 T^{6} + 675463430 T^{9} + 243087455521 T^{12} \))(\( 1 + 1116 T^{3} + 752417 T^{6} + 550231524 T^{9} + 243087455521 T^{12} \))(\( 1 - 1116 T^{3} + 752417 T^{6} - 550231524 T^{9} + 243087455521 T^{12} \))(\( ( 1 - 1387 T^{3} + 493039 T^{6} )( 1 + 503 T^{3} + 493039 T^{6} ) \))(\( ( 1 - 503 T^{3} + 493039 T^{6} )( 1 + 1387 T^{3} + 493039 T^{6} ) \))(\( 1 + 6 T - 48 T^{2} - 1430 T^{3} - 8820 T^{4} + 56934 T^{5} + 1359837 T^{6} + 4497786 T^{7} - 55045620 T^{8} - 705045770 T^{9} - 1869603888 T^{10} + 18462338394 T^{11} + 243087455521 T^{12} \))(\( 1 + 6 T + 60 T^{2} - 782 T^{3} + 2952 T^{4} - 9108 T^{5} + 924705 T^{6} - 719532 T^{7} + 18423432 T^{8} - 385556498 T^{9} + 2337004860 T^{10} + 18462338394 T^{11} + 243087455521 T^{12} \))(\( 1 + 12 T + 96 T^{2} + 1646 T^{3} + 11484 T^{4} + 81954 T^{5} + 1197729 T^{6} + 6474366 T^{7} + 71671644 T^{8} + 811542194 T^{9} + 3739207776 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( ( 1 - 503 T^{3} + 493039 T^{6} )^{2}( 1 + 1387 T^{3} + 493039 T^{6} )^{2} \))(\( ( 1 - 1387 T^{3} + 493039 T^{6} )^{2}( 1 + 503 T^{3} + 493039 T^{6} )^{2} \))(\( 1 - 1970 T^{3} + 2047842 T^{6} - 1668550600 T^{9} + 1203579120743 T^{12} - 822660519273400 T^{15} + 497804701089035682 T^{18} - \)\(23\!\cdots\!30\)\( T^{21} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 1970 T^{3} + 2047842 T^{6} + 1668550600 T^{9} + 1203579120743 T^{12} + 822660519273400 T^{15} + 497804701089035682 T^{18} + \)\(23\!\cdots\!30\)\( T^{21} + \)\(59\!\cdots\!41\)\( T^{24} \))
$83$ (\( 1 - 2 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 103 T^{2} + 6889 T^{4} \))(\( 1 - 8 T + 162 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 162 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 + 103 T^{2} + 6889 T^{4} \))(\( 1 - 6 T + 222 T^{2} - 945 T^{3} + 18426 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 222 T^{2} - 945 T^{3} + 18426 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 136 T^{2} + 156 T^{3} + 1914 T^{4} + 12948 T^{5} + 936904 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( 1 + 12 T + 136 T^{2} + 156 T^{3} + 1914 T^{4} + 12948 T^{5} + 936904 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( ( 1 - 2 T + 83 T^{2} )^{2} \))(\( ( 1 - 3 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 2 T + 83 T^{2} )^{2} \))(\( ( 1 - 8 T + 162 T^{2} - 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 8 T + 162 T^{2} - 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 103 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 6 T + 222 T^{2} - 945 T^{3} + 18426 T^{4} - 41334 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 6 T + 222 T^{2} - 945 T^{3} + 18426 T^{4} - 41334 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 156 T^{3} + 1914 T^{4} + 12948 T^{5} + 936904 T^{6} + 6861444 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 156 T^{3} + 1914 T^{4} + 12948 T^{5} + 936904 T^{6} + 6861444 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 + 6 T - 186 T^{2} - 558 T^{3} + 25188 T^{4} + 30012 T^{5} - 2301977 T^{6} + 2490996 T^{7} + 173520132 T^{8} - 319057146 T^{9} - 8827247706 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( 1 + 6 T - 186 T^{2} - 558 T^{3} + 25188 T^{4} + 30012 T^{5} - 2301977 T^{6} + 2490996 T^{7} + 173520132 T^{8} - 319057146 T^{9} - 8827247706 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( ( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 + 2 T - 79 T^{2} + 166 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 + 2 T - 79 T^{2} + 166 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 + 3 T - 74 T^{2} + 249 T^{3} + 6889 T^{4} )^{3} \))(\( ( 1 + 3 T - 74 T^{2} + 249 T^{3} + 6889 T^{4} )^{3} \))(\( 1 + 6 T - 186 T^{2} - 558 T^{3} + 25188 T^{4} + 30012 T^{5} - 2301977 T^{6} + 2490996 T^{7} + 173520132 T^{8} - 319057146 T^{9} - 8827247706 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( 1 + 6 T - 186 T^{2} - 558 T^{3} + 25188 T^{4} + 30012 T^{5} - 2301977 T^{6} + 2490996 T^{7} + 173520132 T^{8} - 319057146 T^{9} - 8827247706 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( 1 + 6 T - 186 T^{2} - 558 T^{3} + 25188 T^{4} + 30012 T^{5} - 2301977 T^{6} + 2490996 T^{7} + 173520132 T^{8} - 319057146 T^{9} - 8827247706 T^{10} + 23634243858 T^{11} + 326940373369 T^{12} \))(\( ( 1 - 103 T^{2} + 3720 T^{4} - 709567 T^{6} + 47458321 T^{8} )^{3} \))(\( ( 1 - 103 T^{2} + 3720 T^{4} - 709567 T^{6} + 47458321 T^{8} )^{3} \))(\( ( 1 + 8 T - 98 T^{2} - 32 T^{3} + 14043 T^{4} - 2656 T^{5} - 675122 T^{6} + 4574296 T^{7} + 47458321 T^{8} )^{3} \))(\( ( 1 + 8 T - 98 T^{2} - 32 T^{3} + 14043 T^{4} - 2656 T^{5} - 675122 T^{6} + 4574296 T^{7} + 47458321 T^{8} )^{3} \))
$89$ (\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( 1 - 11 T + 197 T^{2} - 979 T^{3} + 7921 T^{4} \))(\( 1 + 11 T + 197 T^{2} + 979 T^{3} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( 1 + 9 T + 150 T^{2} + 621 T^{3} + 13350 T^{4} + 71289 T^{5} + 704969 T^{6} \))(\( 1 - 9 T + 150 T^{2} - 621 T^{3} + 13350 T^{4} - 71289 T^{5} + 704969 T^{6} \))(\( 1 - 16 T + 327 T^{2} - 3548 T^{3} + 41205 T^{4} - 315772 T^{5} + 2590167 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 16 T + 327 T^{2} + 3548 T^{3} + 41205 T^{4} + 315772 T^{5} + 2590167 T^{6} + 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 12 T + 55 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 11 T - 76 T^{2} - 209 T^{3} + 20119 T^{4} - 18601 T^{5} - 601996 T^{6} - 7754659 T^{7} + 62742241 T^{8} \))(\( 1 + 11 T - 76 T^{2} + 209 T^{3} + 20119 T^{4} + 18601 T^{5} - 601996 T^{6} + 7754659 T^{7} + 62742241 T^{8} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{2} \))(\( 1 + 9 T - 69 T^{2} + 108 T^{3} + 3561 T^{4} - 75861 T^{5} - 848522 T^{6} - 6751629 T^{7} + 28206681 T^{8} + 76136652 T^{9} - 4329214629 T^{10} + 50256535041 T^{11} + 496981290961 T^{12} \))(\( 1 - 9 T - 69 T^{2} - 108 T^{3} + 3561 T^{4} + 75861 T^{5} - 848522 T^{6} + 6751629 T^{7} + 28206681 T^{8} - 76136652 T^{9} - 4329214629 T^{10} - 50256535041 T^{11} + 496981290961 T^{12} \))(\( 1 - 16 T - 71 T^{2} + 1864 T^{3} + 8956 T^{4} - 157408 T^{5} - 757749 T^{6} + 7597372 T^{7} + 28710247 T^{8} + 676166108 T^{9} - 6002129829 T^{10} - 110967760352 T^{11} + 561919510396 T^{12} + 10408686812936 T^{13} - 35285671658231 T^{14} - 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 16 T - 71 T^{2} - 1864 T^{3} + 8956 T^{4} + 157408 T^{5} - 757749 T^{6} - 7597372 T^{7} + 28710247 T^{8} - 676166108 T^{9} - 6002129829 T^{10} + 110967760352 T^{11} + 561919510396 T^{12} - 10408686812936 T^{13} - 35285671658231 T^{14} + 707701358328464 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 36 T + 684 T^{2} + 9558 T^{3} + 117144 T^{4} + 1282392 T^{5} + 12697723 T^{6} + 114132888 T^{7} + 927897624 T^{8} + 6738093702 T^{9} + 42915692844 T^{10} + 201026140164 T^{11} + 496981290961 T^{12} \))(\( 1 + 36 T + 576 T^{2} + 4698 T^{3} + 4932 T^{4} - 412812 T^{5} - 5872661 T^{6} - 36740268 T^{7} + 39066372 T^{8} + 3311944362 T^{9} + 36139530816 T^{10} + 201026140164 T^{11} + 496981290961 T^{12} \))(\( 1 - 704969 T^{6} + 496981290961 T^{12} \))(\( 1 - 704969 T^{6} + 496981290961 T^{12} \))(\( 1 - 1476 T^{3} + 1473607 T^{6} - 1040534244 T^{9} + 496981290961 T^{12} \))(\( 1 + 1476 T^{3} + 1473607 T^{6} + 1040534244 T^{9} + 496981290961 T^{12} \))(\( 1 - 1386 T^{3} + 1216027 T^{6} - 977087034 T^{9} + 496981290961 T^{12} \))(\( 1 + 1386 T^{3} + 1216027 T^{6} + 977087034 T^{9} + 496981290961 T^{12} \))(\( 1 + 1386 T^{3} + 1216027 T^{6} + 977087034 T^{9} + 496981290961 T^{12} \))(\( 1 - 1386 T^{3} + 1216027 T^{6} - 977087034 T^{9} + 496981290961 T^{12} \))(\( 1 + 36 T^{2} + 486 T^{3} - 1548 T^{4} + 34956 T^{5} + 586603 T^{6} + 3111084 T^{7} - 12261708 T^{8} + 342614934 T^{9} + 2258720676 T^{10} + 496981290961 T^{12} \))(\( 1 - 36 T + 576 T^{2} - 4698 T^{3} + 4932 T^{4} + 412812 T^{5} - 5872661 T^{6} + 36740268 T^{7} + 39066372 T^{8} - 3311944362 T^{9} + 36139530816 T^{10} - 201026140164 T^{11} + 496981290961 T^{12} \))(\( 1 - 36 T + 684 T^{2} - 9558 T^{3} + 117144 T^{4} - 1282392 T^{5} + 12697723 T^{6} - 114132888 T^{7} + 927897624 T^{8} - 6738093702 T^{9} + 42915692844 T^{10} - 201026140164 T^{11} + 496981290961 T^{12} \))(\( ( 1 - 704969 T^{6} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 704969 T^{6} + 496981290961 T^{12} )^{2} \))(\( 1 + 2233 T^{3} + 2636060 T^{6} + 2099669803 T^{9} + 1511415891439 T^{12} + 1480202121351107 T^{15} + 1310072501850653660 T^{18} + \)\(78\!\cdots\!97\)\( T^{21} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 2233 T^{3} + 2636060 T^{6} - 2099669803 T^{9} + 1511415891439 T^{12} - 1480202121351107 T^{15} + 1310072501850653660 T^{18} - \)\(78\!\cdots\!97\)\( T^{21} + \)\(24\!\cdots\!21\)\( T^{24} \))
$97$ (\( 1 + 12 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 18 T + 247 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 - 15 T + 249 T^{2} - 1455 T^{3} + 9409 T^{4} \))(\( 1 + 15 T + 249 T^{2} + 1455 T^{3} + 9409 T^{4} \))(\( 1 + 18 T + 247 T^{2} + 1746 T^{3} + 9409 T^{4} \))(\( 1 + 288 T^{2} + T^{3} + 27936 T^{4} + 912673 T^{6} \))(\( 1 + 288 T^{2} - T^{3} + 27936 T^{4} + 912673 T^{6} \))(\( 1 + 28 T + 487 T^{2} + 6200 T^{3} + 67681 T^{4} + 601400 T^{5} + 4582183 T^{6} + 25554844 T^{7} + 88529281 T^{8} \))(\( 1 - 28 T + 487 T^{2} - 6200 T^{3} + 67681 T^{4} - 601400 T^{5} + 4582183 T^{6} - 25554844 T^{7} + 88529281 T^{8} \))(\( 1 + 12 T + 47 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 3 T^{2} + 970 T^{3} + 9409 T^{4} \))(\( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 3 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 47 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 - 15 T - 24 T^{2} - 825 T^{3} + 30767 T^{4} - 80025 T^{5} - 225816 T^{6} - 13690095 T^{7} + 88529281 T^{8} \))(\( 1 + 15 T - 24 T^{2} + 825 T^{3} + 30767 T^{4} + 80025 T^{5} - 225816 T^{6} + 13690095 T^{7} + 88529281 T^{8} \))(\( 1 + 18 T + 77 T^{2} + 954 T^{3} + 20172 T^{4} + 92538 T^{5} + 724493 T^{6} + 16428114 T^{7} + 88529281 T^{8} \))(\( 1 - 288 T^{2} - 2 T^{3} + 55008 T^{4} + 288 T^{5} - 6220221 T^{6} + 27936 T^{7} + 517570272 T^{8} - 1825346 T^{9} - 25496432928 T^{10} + 832972004929 T^{12} \))(\( 1 - 288 T^{2} + 2 T^{3} + 55008 T^{4} - 288 T^{5} - 6220221 T^{6} - 27936 T^{7} + 517570272 T^{8} + 1825346 T^{9} - 25496432928 T^{10} + 832972004929 T^{12} \))(\( 1 + 28 T + 297 T^{2} + 1236 T^{3} - 4112 T^{4} - 169336 T^{5} - 2195481 T^{6} - 12285432 T^{7} - 36943377 T^{8} - 1191686904 T^{9} - 20657280729 T^{10} - 154548395128 T^{11} - 364032403472 T^{12} + 10613952557652 T^{13} + 247392685463913 T^{14} + 2262351965387164 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 28 T + 297 T^{2} - 1236 T^{3} - 4112 T^{4} + 169336 T^{5} - 2195481 T^{6} + 12285432 T^{7} - 36943377 T^{8} + 1191686904 T^{9} - 20657280729 T^{10} + 154548395128 T^{11} - 364032403472 T^{12} - 10613952557652 T^{13} + 247392685463913 T^{14} - 2262351965387164 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 6 T + 15 T^{2} - 19 T^{3} - 279 T^{4} + 29097 T^{5} - 998226 T^{6} + 2822409 T^{7} - 2625111 T^{8} - 17340787 T^{9} + 1327939215 T^{10} - 51524041542 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T + 6 T^{2} - 8 T^{3} - 279 T^{4} + 55575 T^{5} - 995607 T^{6} + 5390775 T^{7} - 2625111 T^{8} - 7301384 T^{9} + 531175686 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 574 T^{3} - 583197 T^{6} + 523874302 T^{9} + 832972004929 T^{12} \))(\( 1 - 574 T^{3} - 583197 T^{6} - 523874302 T^{9} + 832972004929 T^{12} \))(\( 1 - 1910 T^{3} + 2735427 T^{6} - 1743205430 T^{9} + 832972004929 T^{12} \))(\( 1 + 1910 T^{3} + 2735427 T^{6} + 1743205430 T^{9} + 832972004929 T^{12} \))(\( 1 - 1764 T^{3} + 2199023 T^{6} - 1609955172 T^{9} + 832972004929 T^{12} \))(\( 1 + 1764 T^{3} + 2199023 T^{6} + 1609955172 T^{9} + 832972004929 T^{12} \))(\( 1 + 34 T^{3} - 911517 T^{6} + 31030882 T^{9} + 832972004929 T^{12} \))(\( 1 - 34 T^{3} - 911517 T^{6} - 31030882 T^{9} + 832972004929 T^{12} \))(\( 1 + 3 T + 6 T^{2} + 8 T^{3} + 585 T^{4} + 29097 T^{5} - 744183 T^{6} + 2822409 T^{7} + 5504265 T^{8} + 7301384 T^{9} + 531175686 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 3 T + 6 T^{2} + 8 T^{3} - 279 T^{4} - 55575 T^{5} - 995607 T^{6} - 5390775 T^{7} - 2625111 T^{8} + 7301384 T^{9} + 531175686 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 6 T + 15 T^{2} + 19 T^{3} - 279 T^{4} - 29097 T^{5} - 998226 T^{6} - 2822409 T^{7} - 2625111 T^{8} + 17340787 T^{9} + 1327939215 T^{10} + 51524041542 T^{11} + 832972004929 T^{12} \))(\( 1 + 2268 T^{3} + 2043722 T^{6} + 2891146608 T^{9} + 4083031123923 T^{12} + 2638671448163184 T^{15} + 1702363211857505738 T^{18} + \)\(17\!\cdots\!56\)\( T^{21} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 2268 T^{3} + 2043722 T^{6} - 2891146608 T^{9} + 4083031123923 T^{12} - 2638671448163184 T^{15} + 1702363211857505738 T^{18} - \)\(17\!\cdots\!56\)\( T^{21} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 3465 T^{3} + 7197624 T^{6} + 10336978575 T^{9} + 11331914182847 T^{12} + 9434281246980975 T^{15} + 5995419294005088696 T^{18} + \)\(26\!\cdots\!05\)\( T^{21} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 3465 T^{3} + 7197624 T^{6} - 10336978575 T^{9} + 11331914182847 T^{12} - 9434281246980975 T^{15} + 5995419294005088696 T^{18} - \)\(26\!\cdots\!05\)\( T^{21} + \)\(69\!\cdots\!41\)\( T^{24} \))
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