LMFDB - Space of modular forms of level 1152 and weight 2

Defining parameters

Level:	$ N $	=	$ 1152 = 2^{7} \cdot 3^{2} $
Weight:	$ k $	=	$ 2 $
Nonzero newspaces:			$ 20 $
Sturm bound:			$147456$
Trace bound:			$33$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_1(1152))$.

	Total	New	Old
Modular forms	38144	16632	21512
Cusp forms	35585	16200	19385
Eisenstein series	2559	432	2127

Trace form

$ 16200q - 48q^{2} - 48q^{3} - 48q^{4} - 48q^{5} - 64q^{6} - 36q^{7} - 48q^{8} - 80q^{9} + O(q^{10}) $

\( 16200q - 48q^{2} - 48q^{3} - 48q^{4} - 48q^{5} - 64q^{6} - 36q^{7} - 48q^{8} - 80q^{9} - 144q^{10} - 36q^{11} - 64q^{12} - 48q^{13} - 48q^{14} - 48q^{15} - 48q^{16} - 72q^{17} - 64q^{18} - 108q^{19} - 48q^{20} - 64q^{21} - 48q^{22} - 44q^{23} - 64q^{24} - 76q^{25} - 48q^{26} - 48q^{27} - 144q^{28} - 64q^{29} - 64q^{30} - 56q^{31} - 48q^{32} - 128q^{33} - 48q^{34} - 60q^{35} - 64q^{36} - 160q^{37} - 48q^{38} - 48q^{39} - 48q^{40} - 76q^{41} - 64q^{42} - 44q^{43} - 48q^{44} - 64q^{45} - 144q^{46} - 24q^{47} - 64q^{48} - 44q^{49} - 48q^{51} + 48q^{52} - 16q^{53} - 64q^{54} - 76q^{55} + 64q^{56} - 80q^{57} + 96q^{58} - 4q^{59} - 64q^{60} + 16q^{61} + 48q^{62} - 48q^{63} + 48q^{64} + 16q^{65} - 64q^{66} + 4q^{67} + 48q^{68} - 40q^{69} + 144q^{70} - 4q^{71} - 64q^{72} - 116q^{73} + 64q^{74} - 8q^{75} + 80q^{76} + 68q^{77} - 64q^{78} + 24q^{79} - 32q^{81} - 144q^{82} + 84q^{83} - 64q^{84} + 88q^{85} - 48q^{86} + 64q^{87} - 48q^{88} + 132q^{89} - 64q^{90} + 36q^{91} - 48q^{92} + 32q^{93} - 48q^{94} + 144q^{95} - 64q^{96} + 96q^{97} - 48q^{98} + 80q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of $S_{2}^{\mathrm{new}}(\Gamma_1(1152))$

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
1152.2.a	$\chi_{1152}(1, \cdot)$	1152.2.a.a	1	1
		1152.2.a.b	1
		1152.2.a.c	1
		1152.2.a.d	1
		1152.2.a.e	1
		1152.2.a.f	1
		1152.2.a.g	1
		1152.2.a.h	1
		1152.2.a.i	1
		1152.2.a.j	1
		1152.2.a.k	1
		1152.2.a.l	1
		1152.2.a.m	1
		1152.2.a.n	1
		1152.2.a.o	1
		1152.2.a.p	1
		1152.2.a.q	1
		1152.2.a.r	1
		1152.2.a.s	1
		1152.2.a.t	1
1152.2.c	$\chi_{1152}(1151, \cdot)$	1152.2.c.a	4	1
		1152.2.c.b	4
		1152.2.c.c	4
		1152.2.c.d	4
1152.2.d	$\chi_{1152}(577, \cdot)$	1152.2.d.a	2	1
		1152.2.d.b	2
		1152.2.d.c	2
		1152.2.d.d	2
		1152.2.d.e	2
		1152.2.d.f	2
		1152.2.d.g	4
		1152.2.d.h	4
1152.2.f	$\chi_{1152}(575, \cdot)$	1152.2.f.a	4	1
		1152.2.f.b	4
		1152.2.f.c	4
		1152.2.f.d	4
1152.2.i	$\chi_{1152}(385, \cdot)$	1152.2.i.a	2	2
		1152.2.i.b	2
		1152.2.i.c	2
		1152.2.i.d	2
		1152.2.i.e	10
		1152.2.i.f	10
		1152.2.i.g	10
		1152.2.i.h	10
		1152.2.i.i	12
		1152.2.i.j	12
		1152.2.i.k	12
		1152.2.i.l	12
1152.2.k	$\chi_{1152}(289, \cdot)$	1152.2.k.a	2	2
		1152.2.k.b	2
		1152.2.k.c	8
		1152.2.k.d	8
		1152.2.k.e	8
		1152.2.k.f	8
1152.2.l	$\chi_{1152}(287, \cdot)$	1152.2.l.a	16	2
1152.2.l	$\chi_{1152}(287, \cdot)$	1152.2.l.b	16	2
1152.2.p	$\chi_{1152}(191, \cdot)$	1152.2.p.a	4	2
		1152.2.p.b	4
		1152.2.p.c	8
		1152.2.p.d	16
		1152.2.p.e	16
		1152.2.p.f	24
		1152.2.p.g	24
1152.2.r	$\chi_{1152}(193, \cdot)$	1152.2.r.a	4	2
		1152.2.r.b	4
		1152.2.r.c	4
		1152.2.r.d	4
		1152.2.r.e	16
		1152.2.r.f	16
		1152.2.r.g	24
		1152.2.r.h	24
1152.2.s	$\chi_{1152}(383, \cdot)$	1152.2.s.a	24	2
		1152.2.s.b	24
		1152.2.s.c	24
		1152.2.s.d	24
1152.2.v	$\chi_{1152}(145, \cdot)$	1152.2.v.a	4	4
		1152.2.v.b	8
		1152.2.v.c	32
		1152.2.v.d	32
1152.2.w	$\chi_{1152}(143, \cdot)$	1152.2.w.a	32	4
1152.2.w	$\chi_{1152}(143, \cdot)$	1152.2.w.b	32	4
1152.2.y	$\chi_{1152}(95, \cdot)$	n/a	176	4
1152.2.bb	$\chi_{1152}(97, \cdot)$	n/a	176	4
1152.2.bd	$\chi_{1152}(73, \cdot)$	None	0	8
1152.2.be	$\chi_{1152}(71, \cdot)$	None	0	8
1152.2.bg	$\chi_{1152}(49, \cdot)$	n/a	368	8
1152.2.bj	$\chi_{1152}(47, \cdot)$	n/a	368	8
1152.2.bl	$\chi_{1152}(37, \cdot)$	n/a	1264	16
1152.2.bm	$\chi_{1152}(35, \cdot)$	n/a	1024	16
1152.2.bp	$\chi_{1152}(23, \cdot)$	None	0	16
1152.2.bq	$\chi_{1152}(25, \cdot)$	None	0	16
1152.2.bs	$\chi_{1152}(11, \cdot)$	n/a	6080	32
1152.2.bv	$\chi_{1152}(13, \cdot)$	n/a	6080	32

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

Decomposition of $S_{2}^{\mathrm{old}}(\Gamma_1(1152))$ into lower level spaces

Hecke characteristic polynomials

$p$	$F_p(T)$
$2$	1
$3$	($ 1 + 3 T + 3 T^{2} $)($ 1 + 3 T + 3 T^{2} $)($ 1 - 3 T + 3 T^{2} $)($ 1 - 3 T + 3 T^{2} $)($ 1 + T + T^{2} + 18 T^{5} + 27 T^{8} + 81 T^{9} + 243 T^{10} $)($ 1 + T + T^{2} + 18 T^{5} + 27 T^{8} + 81 T^{9} + 243 T^{10} $)($ 1 - T + T^{2} - 18 T^{5} + 27 T^{8} - 81 T^{9} + 243 T^{10} $)($ 1 - T + T^{2} - 18 T^{5} + 27 T^{8} - 81 T^{9} + 243 T^{10} $)($ 1 + 4 T + 9 T^{2} + 10 T^{3} - 5 T^{4} - 42 T^{5} - 102 T^{6} - 126 T^{7} - 45 T^{8} + 270 T^{9} + 729 T^{10} + 972 T^{11} + 729 T^{12} $)($ 1 + 4 T + 9 T^{2} + 10 T^{3} - 5 T^{4} - 42 T^{5} - 102 T^{6} - 126 T^{7} - 45 T^{8} + 270 T^{9} + 729 T^{10} + 972 T^{11} + 729 T^{12} $)($ 1 - 4 T + 9 T^{2} - 10 T^{3} - 5 T^{4} + 42 T^{5} - 102 T^{6} + 126 T^{7} - 45 T^{8} - 270 T^{9} + 729 T^{10} - 972 T^{11} + 729 T^{12} $)($ 1 - 4 T + 9 T^{2} - 10 T^{3} - 5 T^{4} + 42 T^{5} - 102 T^{6} + 126 T^{7} - 45 T^{8} - 270 T^{9} + 729 T^{10} - 972 T^{11} + 729 T^{12} $)($ ( 1 + 3 T + 3 T^{2} )^{2} $)($ ( 1 - 3 T + 3 T^{2} )^{2} $)($ 1 + 2 T^{2} - 5 T^{4} + 18 T^{6} + 81 T^{8} $)($ ( 1 - 6 T^{4} + 81 T^{8} )^{2} $)($ ( 1 - 6 T^{4} + 81 T^{8} )^{2} $)($ 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} $)($ 1 + 3 T^{2} + 9 T^{4} $)($ 1 + 3 T^{2} + 9 T^{4} $)($ 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} $)($ ( 1 + 9 T^{4} )^{4} $)($ ( 1 - 6 T^{4} + 81 T^{8} )^{2} $)
$5$	($ 1 + 4 T + 5 T^{2} $)($ 1 + 4 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 2 T + 5 T^{2} $)($ 1 + 5 T^{2} $)($ 1 + 5 T^{2} $)($ 1 + 5 T^{2} $)($ 1 + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 2 T + 5 T^{2} $)($ 1 - 4 T + 5 T^{2} $)($ 1 - 4 T + 5 T^{2} $)($ 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} $)($ 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} $)($ 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} $)($ 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} $)($ ( 1 - 5 T^{2} )^{2} $)($ ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) $)($ ( 1 - 5 T^{2} )^{2} $)($ ( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} ) $)($ ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) $)($ ( 1 - 5 T^{2} )^{2} $)($ ( 1 + 2 T^{2} + 25 T^{4} )^{2} $)($ ( 1 - 2 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 8 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 8 T^{2} + 25 T^{4} )^{2} $)($ ( 1 - 8 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 8 T^{2} + 25 T^{4} )^{2} $)($ 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} $)($ 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} $)($ 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} $)($ 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} $)($ 1 - 13 T^{2} + 4 T^{3} + 72 T^{4} - 52 T^{5} - 287 T^{6} + 432 T^{7} + 1427 T^{8} - 1232 T^{9} - 7344 T^{10} - 6160 T^{11} + 35675 T^{12} + 54000 T^{13} - 179375 T^{14} - 162500 T^{15} + 1125000 T^{16} + 312500 T^{17} - 5078125 T^{18} + 9765625 T^{20} $)($ 1 - 13 T^{2} - 4 T^{3} + 72 T^{4} + 52 T^{5} - 287 T^{6} - 432 T^{7} + 1427 T^{8} + 1232 T^{9} - 7344 T^{10} + 6160 T^{11} + 35675 T^{12} - 54000 T^{13} - 179375 T^{14} + 162500 T^{15} + 1125000 T^{16} - 312500 T^{17} - 5078125 T^{18} + 9765625 T^{20} $)($ 1 - 13 T^{2} - 4 T^{3} + 72 T^{4} + 52 T^{5} - 287 T^{6} - 432 T^{7} + 1427 T^{8} + 1232 T^{9} - 7344 T^{10} + 6160 T^{11} + 35675 T^{12} - 54000 T^{13} - 179375 T^{14} + 162500 T^{15} + 1125000 T^{16} - 312500 T^{17} - 5078125 T^{18} + 9765625 T^{20} $)($ 1 - 13 T^{2} + 4 T^{3} + 72 T^{4} - 52 T^{5} - 287 T^{6} + 432 T^{7} + 1427 T^{8} - 1232 T^{9} - 7344 T^{10} - 6160 T^{11} + 35675 T^{12} + 54000 T^{13} - 179375 T^{14} - 162500 T^{15} + 1125000 T^{16} + 312500 T^{17} - 5078125 T^{18} + 9765625 T^{20} $)($ 1 + 2 T - 6 T^{2} + 20 T^{3} + 90 T^{4} - 202 T^{5} - 172 T^{6} + 2034 T^{7} - 1410 T^{8} - 9220 T^{9} + 26974 T^{10} + 29526 T^{11} - 138266 T^{12} + 147630 T^{13} + 674350 T^{14} - 1152500 T^{15} - 881250 T^{16} + 6356250 T^{17} - 2687500 T^{18} - 15781250 T^{19} + 35156250 T^{20} + 39062500 T^{21} - 58593750 T^{22} + 97656250 T^{23} + 244140625 T^{24} $)($ 1 - 2 T - 6 T^{2} - 20 T^{3} + 90 T^{4} + 202 T^{5} - 172 T^{6} - 2034 T^{7} - 1410 T^{8} + 9220 T^{9} + 26974 T^{10} - 29526 T^{11} - 138266 T^{12} - 147630 T^{13} + 674350 T^{14} + 1152500 T^{15} - 881250 T^{16} - 6356250 T^{17} - 2687500 T^{18} + 15781250 T^{19} + 35156250 T^{20} - 39062500 T^{21} - 58593750 T^{22} - 97656250 T^{23} + 244140625 T^{24} $)($ 1 + 2 T - 6 T^{2} + 20 T^{3} + 90 T^{4} - 202 T^{5} - 172 T^{6} + 2034 T^{7} - 1410 T^{8} - 9220 T^{9} + 26974 T^{10} + 29526 T^{11} - 138266 T^{12} + 147630 T^{13} + 674350 T^{14} - 1152500 T^{15} - 881250 T^{16} + 6356250 T^{17} - 2687500 T^{18} - 15781250 T^{19} + 35156250 T^{20} + 39062500 T^{21} - 58593750 T^{22} + 97656250 T^{23} + 244140625 T^{24} $)($ 1 - 2 T - 6 T^{2} - 20 T^{3} + 90 T^{4} + 202 T^{5} - 172 T^{6} - 2034 T^{7} - 1410 T^{8} + 9220 T^{9} + 26974 T^{10} - 29526 T^{11} - 138266 T^{12} - 147630 T^{13} + 674350 T^{14} + 1152500 T^{15} - 881250 T^{16} - 6356250 T^{17} - 2687500 T^{18} + 15781250 T^{19} + 35156250 T^{20} - 39062500 T^{21} - 58593750 T^{22} - 97656250 T^{23} + 244140625 T^{24} $)($ ( 1 - 2 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) $)($ ( 1 - 2 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) $)($ 1 - 16 T^{3} - 12 T^{4} + 48 T^{5} + 128 T^{6} - 32 T^{7} - 506 T^{8} - 160 T^{9} + 3200 T^{10} + 6000 T^{11} - 7500 T^{12} - 50000 T^{13} + 390625 T^{16} $)($ 1 - 12 T^{4} - 506 T^{8} - 7500 T^{12} + 390625 T^{16} $)($ 1 - 12 T^{4} - 506 T^{8} - 7500 T^{12} + 390625 T^{16} $)($ 1 - 16 T^{3} - 12 T^{4} + 48 T^{5} + 128 T^{6} - 32 T^{7} - 506 T^{8} - 160 T^{9} + 3200 T^{10} + 6000 T^{11} - 7500 T^{12} - 50000 T^{13} + 390625 T^{16} $)($ 1 - 8 T^{4} - 804 T^{8} + 2376 T^{12} + 502406 T^{16} + 1485000 T^{20} - 314062500 T^{24} - 1953125000 T^{28} + 152587890625 T^{32} $)($ 1 - 8 T^{4} - 804 T^{8} + 2376 T^{12} + 502406 T^{16} + 1485000 T^{20} - 314062500 T^{24} - 1953125000 T^{28} + 152587890625 T^{32} $)($ ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} ) $)($ ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} ) $)($ ( 1 - 5 T^{2} + 25 T^{4} )^{4} $)($ ( 1 - 2 T^{2} - 23 T^{4} + 46 T^{6} + 4 T^{8} + 1150 T^{10} - 14375 T^{12} - 31250 T^{14} + 390625 T^{16} )^{2} $)($ ( 1 - 10 T^{2} + 49 T^{4} - 10 T^{6} - 524 T^{8} - 250 T^{10} + 30625 T^{12} - 156250 T^{14} + 390625 T^{16} )^{2} $)($ ( 1 + 5 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 5 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 5 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 5 T^{2} + 25 T^{4} )^{2} $)($ ( 1 + 2 T^{2} - 35 T^{4} - 22 T^{6} + 796 T^{8} - 550 T^{10} - 21875 T^{12} + 31250 T^{14} + 390625 T^{16} )^{2} $)($ ( 1 + 6 T^{2} + T^{4} - 90 T^{6} - 300 T^{8} - 2250 T^{10} + 625 T^{12} + 93750 T^{14} + 390625 T^{16} )^{2} $)($ ( 1 - 2 T + 5 T^{2} )^{2}( 1 - 8 T^{2} + 25 T^{4} ) $)($ ( 1 + 2 T^{2} - 16 T^{3} + 2 T^{4} - 80 T^{5} + 50 T^{6} + 625 T^{8} )^{2} $)
$7$	($ 1 + 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 + 4 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 4 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 + 4 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 4 T + 7 T^{2} $)($ 1 + 2 T + 7 T^{2} $)($ 1 - 2 T + 7 T^{2} $)($ 1 - 4 T^{2} - 26 T^{4} - 196 T^{6} + 2401 T^{8} $)($ 1 - 4 T^{2} - 26 T^{4} - 196 T^{6} + 2401 T^{8} $)($ 1 - 4 T^{2} - 26 T^{4} - 196 T^{6} + 2401 T^{8} $)($ 1 - 4 T^{2} - 26 T^{4} - 196 T^{6} + 2401 T^{8} $)($ ( 1 + 4 T + 7 T^{2} )^{2} $)($ ( 1 + 7 T^{2} )^{2} $)($ ( 1 + 7 T^{2} )^{2} $)($ ( 1 + 7 T^{2} )^{2} $)($ ( 1 + 7 T^{2} )^{2} $)($ ( 1 - 4 T + 7 T^{2} )^{2} $)($ ( 1 - 10 T^{2} + 49 T^{4} )^{2} $)($ ( 1 + 6 T^{2} + 49 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 49 T^{4} )^{2} $)($ ( 1 - 7 T^{2} )^{4} $)($ ( 1 - 7 T^{2} )^{4} $)($ ( 1 - 6 T^{2} + 49 T^{4} )^{2} $)($ 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} $)($ 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} $)($ 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} $)($ 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} $)($ 1 + 4 T - 11 T^{2} - 84 T^{3} + 24 T^{4} + 978 T^{5} + 1227 T^{6} - 7008 T^{7} - 20841 T^{8} + 19654 T^{9} + 182116 T^{10} + 137578 T^{11} - 1021209 T^{12} - 2403744 T^{13} + 2946027 T^{14} + 16437246 T^{15} + 2823576 T^{16} - 69177612 T^{17} - 63412811 T^{18} + 161414428 T^{19} + 282475249 T^{20} $)($ 1 - 4 T - 11 T^{2} + 84 T^{3} + 24 T^{4} - 978 T^{5} + 1227 T^{6} + 7008 T^{7} - 20841 T^{8} - 19654 T^{9} + 182116 T^{10} - 137578 T^{11} - 1021209 T^{12} + 2403744 T^{13} + 2946027 T^{14} - 16437246 T^{15} + 2823576 T^{16} + 69177612 T^{17} - 63412811 T^{18} - 161414428 T^{19} + 282475249 T^{20} $)($ 1 + 4 T - 11 T^{2} - 84 T^{3} + 24 T^{4} + 978 T^{5} + 1227 T^{6} - 7008 T^{7} - 20841 T^{8} + 19654 T^{9} + 182116 T^{10} + 137578 T^{11} - 1021209 T^{12} - 2403744 T^{13} + 2946027 T^{14} + 16437246 T^{15} + 2823576 T^{16} - 69177612 T^{17} - 63412811 T^{18} + 161414428 T^{19} + 282475249 T^{20} $)($ 1 - 4 T - 11 T^{2} + 84 T^{3} + 24 T^{4} - 978 T^{5} + 1227 T^{6} + 7008 T^{7} - 20841 T^{8} - 19654 T^{9} + 182116 T^{10} - 137578 T^{11} - 1021209 T^{12} + 2403744 T^{13} + 2946027 T^{14} - 16437246 T^{15} + 2823576 T^{16} + 69177612 T^{17} - 63412811 T^{18} - 161414428 T^{19} + 282475249 T^{20} $)($ 1 + 6 T + 6 T^{2} - 16 T^{3} - 42 T^{4} - 204 T^{5} - 980 T^{6} - 3840 T^{7} - 7386 T^{8} + 6824 T^{9} + 49698 T^{10} + 149706 T^{11} + 474394 T^{12} + 1047942 T^{13} + 2435202 T^{14} + 2340632 T^{15} - 17733786 T^{16} - 64538880 T^{17} - 115296020 T^{18} - 168002772 T^{19} - 242121642 T^{20} - 645657712 T^{21} + 1694851494 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} $)($ 1 - 6 T + 6 T^{2} + 16 T^{3} - 42 T^{4} + 204 T^{5} - 980 T^{6} + 3840 T^{7} - 7386 T^{8} - 6824 T^{9} + 49698 T^{10} - 149706 T^{11} + 474394 T^{12} - 1047942 T^{13} + 2435202 T^{14} - 2340632 T^{15} - 17733786 T^{16} + 64538880 T^{17} - 115296020 T^{18} + 168002772 T^{19} - 242121642 T^{20} + 645657712 T^{21} + 1694851494 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} $)($ 1 - 6 T + 6 T^{2} + 16 T^{3} - 42 T^{4} + 204 T^{5} - 980 T^{6} + 3840 T^{7} - 7386 T^{8} - 6824 T^{9} + 49698 T^{10} - 149706 T^{11} + 474394 T^{12} - 1047942 T^{13} + 2435202 T^{14} - 2340632 T^{15} - 17733786 T^{16} + 64538880 T^{17} - 115296020 T^{18} + 168002772 T^{19} - 242121642 T^{20} + 645657712 T^{21} + 1694851494 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} $)($ 1 + 6 T + 6 T^{2} - 16 T^{3} - 42 T^{4} - 204 T^{5} - 980 T^{6} - 3840 T^{7} - 7386 T^{8} + 6824 T^{9} + 49698 T^{10} + 149706 T^{11} + 474394 T^{12} + 1047942 T^{13} + 2435202 T^{14} + 2340632 T^{15} - 17733786 T^{16} - 64538880 T^{17} - 115296020 T^{18} - 168002772 T^{19} - 242121642 T^{20} - 645657712 T^{21} + 1694851494 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} $)($ 1 - 10 T^{2} + 49 T^{4} $)($ 1 - 10 T^{2} + 49 T^{4} $)($ 1 - 24 T^{2} + 292 T^{4} - 2440 T^{6} + 17222 T^{8} - 119560 T^{10} + 701092 T^{12} - 2823576 T^{14} + 5764801 T^{16} $)($ ( 1 - 12 T^{2} + 106 T^{4} - 588 T^{6} + 2401 T^{8} )^{2} $)($ ( 1 - 12 T^{2} + 106 T^{4} - 588 T^{6} + 2401 T^{8} )^{2} $)($ 1 - 24 T^{2} + 292 T^{4} - 2440 T^{6} + 17222 T^{8} - 119560 T^{10} + 701092 T^{12} - 2823576 T^{14} + 5764801 T^{16} $)($ ( 1 + 12 T^{2} + 16 T^{3} + 74 T^{4} + 112 T^{5} + 588 T^{6} + 2401 T^{8} )^{4} $)($ ( 1 + 12 T^{2} - 16 T^{3} + 74 T^{4} - 112 T^{5} + 588 T^{6} + 2401 T^{8} )^{4} $)($ ( 1 + 7 T^{2} + 49 T^{4} )^{2} $)($ ( 1 + 7 T^{2} + 49 T^{4} )^{2} $)($ ( 1 + 7 T^{2} + 49 T^{4} )^{4} $)($ ( 1 - 2 T^{2} - 41 T^{4} + 106 T^{6} - 572 T^{8} + 5194 T^{10} - 98441 T^{12} - 235298 T^{14} + 5764801 T^{16} )^{2} $)($ ( 1 + 10 T^{2} - 17 T^{4} + 190 T^{6} + 6388 T^{8} + 9310 T^{10} - 40817 T^{12} + 1176490 T^{14} + 5764801 T^{16} )^{2} $)($ ( 1 - 7 T^{2} + 49 T^{4} )^{2} $)($ ( 1 - T + 7 T^{2} )^{2}( 1 + 5 T + 7 T^{2} )^{2} $)($ ( 1 - 5 T + 7 T^{2} )^{2}( 1 + T + 7 T^{2} )^{2} $)($ ( 1 - 7 T^{2} + 49 T^{4} )^{2} $)($ ( 1 - 4 T^{2} - 11 T^{4} + 284 T^{6} - 2456 T^{8} + 13916 T^{10} - 26411 T^{12} - 470596 T^{14} + 5764801 T^{16} )^{2} $)($ ( 1 - 10 T^{2} + 31 T^{4} + 290 T^{6} - 2540 T^{8} + 14210 T^{10} + 74431 T^{12} - 1176490 T^{14} + 5764801 T^{16} )^{2} $)($ ( 1 + 2 T + 2 T^{2} + 14 T^{3} + 49 T^{4} )^{2} $)($ 1 - 8 T + 32 T^{2} - 104 T^{3} + 252 T^{4} - 392 T^{5} + 480 T^{6} - 168 T^{7} - 1274 T^{8} - 1176 T^{9} + 23520 T^{10} - 134456 T^{11} + 605052 T^{12} - 1747928 T^{13} + 3764768 T^{14} - 6588344 T^{15} + 5764801 T^{16} $)
$11$	($ 1 + 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 - 2 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 + 2 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 + 2 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 - 2 T + 11 T^{2} $)($ 1 - 4 T + 11 T^{2} $)($ 1 + 4 T + 11 T^{2} $)($ ( 1 + 14 T^{2} + 121 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 121 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 121 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 121 T^{4} )^{2} $)($ 1 - 6 T^{2} + 121 T^{4} $)($ ( 1 - 11 T^{2} )^{2} $)($ ( 1 - 6 T + 11 T^{2} )( 1 + 6 T + 11 T^{2} ) $)($ ( 1 - 11 T^{2} )^{2} $)($ ( 1 - 11 T^{2} )^{2} $)($ 1 - 6 T^{2} + 121 T^{4} $)($ ( 1 + 10 T^{2} + 121 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 121 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 121 T^{4} )^{2} $)($ ( 1 - 11 T^{2} )^{4} $)($ ( 1 - 11 T^{2} )^{4} $)($ ( 1 - 6 T^{2} + 121 T^{4} )^{2} $)($ 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} $)($ 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} $)($ 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} $)($ 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} $)($ 1 - T - 34 T^{2} - 47 T^{3} + 692 T^{4} + 1631 T^{5} - 6628 T^{6} - 25979 T^{7} + 32911 T^{8} + 121836 T^{9} + 2820 T^{10} + 1340196 T^{11} + 3982231 T^{12} - 34578049 T^{13} - 97040548 T^{14} + 262674181 T^{15} + 1225920212 T^{16} - 915897037 T^{17} - 7288201954 T^{18} - 2357947691 T^{19} + 25937424601 T^{20} $)($ 1 - T - 34 T^{2} - 47 T^{3} + 692 T^{4} + 1631 T^{5} - 6628 T^{6} - 25979 T^{7} + 32911 T^{8} + 121836 T^{9} + 2820 T^{10} + 1340196 T^{11} + 3982231 T^{12} - 34578049 T^{13} - 97040548 T^{14} + 262674181 T^{15} + 1225920212 T^{16} - 915897037 T^{17} - 7288201954 T^{18} - 2357947691 T^{19} + 25937424601 T^{20} $)($ 1 + T - 34 T^{2} + 47 T^{3} + 692 T^{4} - 1631 T^{5} - 6628 T^{6} + 25979 T^{7} + 32911 T^{8} - 121836 T^{9} + 2820 T^{10} - 1340196 T^{11} + 3982231 T^{12} + 34578049 T^{13} - 97040548 T^{14} - 262674181 T^{15} + 1225920212 T^{16} + 915897037 T^{17} - 7288201954 T^{18} + 2357947691 T^{19} + 25937424601 T^{20} $)($ 1 + T - 34 T^{2} + 47 T^{3} + 692 T^{4} - 1631 T^{5} - 6628 T^{6} + 25979 T^{7} + 32911 T^{8} - 121836 T^{9} + 2820 T^{10} - 1340196 T^{11} + 3982231 T^{12} + 34578049 T^{13} - 97040548 T^{14} - 262674181 T^{15} + 1225920212 T^{16} + 915897037 T^{17} - 7288201954 T^{18} + 2357947691 T^{19} + 25937424601 T^{20} $)($ 1 + 4 T - 19 T^{2} - 48 T^{3} + 331 T^{4} + 430 T^{5} - 2296 T^{6} - 2796 T^{7} - 14403 T^{8} + 19340 T^{9} + 552863 T^{10} - 26990 T^{11} - 7241418 T^{12} - 296890 T^{13} + 66896423 T^{14} + 25741540 T^{15} - 210874323 T^{16} - 450298596 T^{17} - 4067504056 T^{18} + 8379483530 T^{19} + 70952789611 T^{20} - 113181489168 T^{21} - 492811067419 T^{22} + 1141246682444 T^{23} + 3138428376721 T^{24} $)($ 1 + 4 T - 19 T^{2} - 48 T^{3} + 331 T^{4} + 430 T^{5} - 2296 T^{6} - 2796 T^{7} - 14403 T^{8} + 19340 T^{9} + 552863 T^{10} - 26990 T^{11} - 7241418 T^{12} - 296890 T^{13} + 66896423 T^{14} + 25741540 T^{15} - 210874323 T^{16} - 450298596 T^{17} - 4067504056 T^{18} + 8379483530 T^{19} + 70952789611 T^{20} - 113181489168 T^{21} - 492811067419 T^{22} + 1141246682444 T^{23} + 3138428376721 T^{24} $)($ 1 - 4 T - 19 T^{2} + 48 T^{3} + 331 T^{4} - 430 T^{5} - 2296 T^{6} + 2796 T^{7} - 14403 T^{8} - 19340 T^{9} + 552863 T^{10} + 26990 T^{11} - 7241418 T^{12} + 296890 T^{13} + 66896423 T^{14} - 25741540 T^{15} - 210874323 T^{16} + 450298596 T^{17} - 4067504056 T^{18} - 8379483530 T^{19} + 70952789611 T^{20} + 113181489168 T^{21} - 492811067419 T^{22} - 1141246682444 T^{23} + 3138428376721 T^{24} $)($ 1 - 4 T - 19 T^{2} + 48 T^{3} + 331 T^{4} - 430 T^{5} - 2296 T^{6} + 2796 T^{7} - 14403 T^{8} - 19340 T^{9} + 552863 T^{10} + 26990 T^{11} - 7241418 T^{12} + 296890 T^{13} + 66896423 T^{14} - 25741540 T^{15} - 210874323 T^{16} + 450298596 T^{17} - 4067504056 T^{18} - 8379483530 T^{19} + 70952789611 T^{20} + 113181489168 T^{21} - 492811067419 T^{22} - 1141246682444 T^{23} + 3138428376721 T^{24} $)($ 1 + 2 T + 2 T^{2} + 22 T^{3} + 121 T^{4} $)($ 1 - 2 T + 2 T^{2} - 22 T^{3} + 121 T^{4} $)($ 1 + 8 T + 32 T^{2} + 88 T^{3} + 132 T^{4} + 344 T^{5} + 2400 T^{6} + 13000 T^{7} + 54374 T^{8} + 143000 T^{9} + 290400 T^{10} + 457864 T^{11} + 1932612 T^{12} + 14172488 T^{13} + 56689952 T^{14} + 155897368 T^{15} + 214358881 T^{16} $)($ 1 - 60 T^{4} - 14618 T^{8} - 878460 T^{12} + 214358881 T^{16} $)($ 1 - 60 T^{4} - 14618 T^{8} - 878460 T^{12} + 214358881 T^{16} $)($ 1 - 8 T + 32 T^{2} - 88 T^{3} + 132 T^{4} - 344 T^{5} + 2400 T^{6} - 13000 T^{7} + 54374 T^{8} - 143000 T^{9} + 290400 T^{10} - 457864 T^{11} + 1932612 T^{12} - 14172488 T^{13} + 56689952 T^{14} - 155897368 T^{15} + 214358881 T^{16} $)($ 1 - 184 T^{4} + 8796 T^{8} + 2616696 T^{12} - 490804602 T^{16} + 38311046136 T^{20} + 1885500717276 T^{24} - 577470821316664 T^{28} + 45949729863572161 T^{32} $)($ 1 - 184 T^{4} + 8796 T^{8} + 2616696 T^{12} - 490804602 T^{16} + 38311046136 T^{20} + 1885500717276 T^{24} - 577470821316664 T^{28} + 45949729863572161 T^{32} $)($ ( 1 - 9 T + 38 T^{2} - 99 T^{3} + 121 T^{4} )^{2} $)($ ( 1 + 9 T + 38 T^{2} + 99 T^{3} + 121 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 121 T^{4} )^{2}( 1 - 14 T^{2} + 75 T^{4} - 1694 T^{6} + 14641 T^{8} ) $)($ ( 1 + 26 T^{2} + 271 T^{4} + 4238 T^{6} + 67588 T^{8} + 512798 T^{10} + 3967711 T^{12} + 46060586 T^{14} + 214358881 T^{16} )^{2} $)($ ( 1 + 38 T^{2} + 847 T^{4} + 13490 T^{6} + 167044 T^{8} + 1632290 T^{10} + 12400927 T^{12} + 67319318 T^{14} + 214358881 T^{16} )^{2} $)($ ( 1 + 6 T + 11 T^{2} )^{2}( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} ) $)($ 1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8} $)($ 1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8} $)($ ( 1 - 6 T + 11 T^{2} )^{2}( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} ) $)($ ( 1 + 40 T^{2} + 961 T^{4} + 15880 T^{6} + 200080 T^{8} + 1921480 T^{10} + 14070001 T^{12} + 70862440 T^{14} + 214358881 T^{16} )^{2} $)($ ( 1 + 26 T^{2} + 319 T^{4} + 2990 T^{6} + 31012 T^{8} + 361790 T^{10} + 4670479 T^{12} + 46060586 T^{14} + 214358881 T^{16} )^{2} $)($ ( 1 + 6 T + 11 T^{2} )^{2}( 1 - 4 T + 8 T^{2} - 44 T^{3} + 121 T^{4} ) $)($ 1 - 4 T + 8 T^{2} + 68 T^{3} - 304 T^{4} + 804 T^{5} + 1304 T^{6} - 7396 T^{7} + 43982 T^{8} - 81356 T^{9} + 157784 T^{10} + 1070124 T^{11} - 4450864 T^{12} + 10951468 T^{13} + 14172488 T^{14} - 77948684 T^{15} + 214358881 T^{16} $)
$13$	($ 1 + 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 - 6 T + 13 T^{2} $)($ 1 + 6 T + 13 T^{2} $)($ 1 + 6 T + 13 T^{2} $)($ 1 - 6 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 + 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ 1 - 2 T + 13 T^{2} $)($ ( 1 + 18 T^{2} + 169 T^{4} )^{2} $)($ ( 1 + 18 T^{2} + 169 T^{4} )^{2} $)($ ( 1 + 18 T^{2} + 169 T^{4} )^{2} $)($ ( 1 + 18 T^{2} + 169 T^{4} )^{2} $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) $)($ ( 1 - 13 T^{2} )^{2} $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) $)($ ( 1 - 13 T^{2} )^{4} $)($ ( 1 + 6 T^{2} + 169 T^{4} )^{2} $)($ ( 1 - 22 T^{2} + 169 T^{4} )^{2} $)($ ( 1 - 4 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2} $)($ ( 1 - 4 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2} $)($ ( 1 - 22 T^{2} + 169 T^{4} )^{2} $)($ 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} $)($ 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} $)($ 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} $)($ 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} $)($ 1 - 6 T - 29 T^{2} + 158 T^{3} + 912 T^{4} - 2926 T^{5} - 20879 T^{6} + 34926 T^{7} + 378667 T^{8} - 219368 T^{9} - 5274240 T^{10} - 2851784 T^{11} + 63994723 T^{12} + 76732422 T^{13} - 596325119 T^{14} - 1086403318 T^{15} + 4402049808 T^{16} + 9914265686 T^{17} - 23656190909 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} $)($ 1 + 6 T - 29 T^{2} - 158 T^{3} + 912 T^{4} + 2926 T^{5} - 20879 T^{6} - 34926 T^{7} + 378667 T^{8} + 219368 T^{9} - 5274240 T^{10} + 2851784 T^{11} + 63994723 T^{12} - 76732422 T^{13} - 596325119 T^{14} + 1086403318 T^{15} + 4402049808 T^{16} - 9914265686 T^{17} - 23656190909 T^{18} + 63626996238 T^{19} + 137858491849 T^{20} $)($ 1 + 6 T - 29 T^{2} - 158 T^{3} + 912 T^{4} + 2926 T^{5} - 20879 T^{6} - 34926 T^{7} + 378667 T^{8} + 219368 T^{9} - 5274240 T^{10} + 2851784 T^{11} + 63994723 T^{12} - 76732422 T^{13} - 596325119 T^{14} + 1086403318 T^{15} + 4402049808 T^{16} - 9914265686 T^{17} - 23656190909 T^{18} + 63626996238 T^{19} + 137858491849 T^{20} $)($ 1 - 6 T - 29 T^{2} + 158 T^{3} + 912 T^{4} - 2926 T^{5} - 20879 T^{6} + 34926 T^{7} + 378667 T^{8} - 219368 T^{9} - 5274240 T^{10} - 2851784 T^{11} + 63994723 T^{12} + 76732422 T^{13} - 596325119 T^{14} - 1086403318 T^{15} + 4402049808 T^{16} + 9914265686 T^{17} - 23656190909 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} $)($ 1 - 10 T + 30 T^{2} - 68 T^{3} + 486 T^{4} - 1390 T^{5} + 364 T^{6} - 2754 T^{7} + 4410 T^{8} - 99148 T^{9} + 1849474 T^{10} - 6605286 T^{11} + 12214214 T^{12} - 85868718 T^{13} + 312561106 T^{14} - 217828156 T^{15} + 125954010 T^{16} - 1022540922 T^{17} + 1756958476 T^{18} - 87220438630 T^{19} + 396445130406 T^{20} - 721105957364 T^{21} + 4135754755470 T^{22} - 17921603940370 T^{23} + 23298085122481 T^{24} $)($ 1 + 10 T + 30 T^{2} + 68 T^{3} + 486 T^{4} + 1390 T^{5} + 364 T^{6} + 2754 T^{7} + 4410 T^{8} + 99148 T^{9} + 1849474 T^{10} + 6605286 T^{11} + 12214214 T^{12} + 85868718 T^{13} + 312561106 T^{14} + 217828156 T^{15} + 125954010 T^{16} + 1022540922 T^{17} + 1756958476 T^{18} + 87220438630 T^{19} + 396445130406 T^{20} + 721105957364 T^{21} + 4135754755470 T^{22} + 17921603940370 T^{23} + 23298085122481 T^{24} $)($ 1 - 10 T + 30 T^{2} - 68 T^{3} + 486 T^{4} - 1390 T^{5} + 364 T^{6} - 2754 T^{7} + 4410 T^{8} - 99148 T^{9} + 1849474 T^{10} - 6605286 T^{11} + 12214214 T^{12} - 85868718 T^{13} + 312561106 T^{14} - 217828156 T^{15} + 125954010 T^{16} - 1022540922 T^{17} + 1756958476 T^{18} - 87220438630 T^{19} + 396445130406 T^{20} - 721105957364 T^{21} + 4135754755470 T^{22} - 17921603940370 T^{23} + 23298085122481 T^{24} $)($ 1 + 10 T + 30 T^{2} + 68 T^{3} + 486 T^{4} + 1390 T^{5} + 364 T^{6} + 2754 T^{7} + 4410 T^{8} + 99148 T^{9} + 1849474 T^{10} + 6605286 T^{11} + 12214214 T^{12} + 85868718 T^{13} + 312561106 T^{14} + 217828156 T^{15} + 125954010 T^{16} + 1022540922 T^{17} + 1756958476 T^{18} + 87220438630 T^{19} + 396445130406 T^{20} + 721105957364 T^{21} + 4135754755470 T^{22} + 17921603940370 T^{23} + 23298085122481 T^{24} $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) $)($ ( 1 - 6 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) $)($ 1 + 64 T^{3} - 4 T^{4} - 704 T^{5} + 2048 T^{6} + 1408 T^{7} - 53466 T^{8} + 18304 T^{9} + 346112 T^{10} - 1546688 T^{11} - 114244 T^{12} + 23762752 T^{13} + 815730721 T^{16} $)($ ( 1 - 194 T^{4} + 28561 T^{8} )^{2} $)($ ( 1 - 194 T^{4} + 28561 T^{8} )^{2} $)($ 1 + 64 T^{3} - 4 T^{4} - 704 T^{5} + 2048 T^{6} + 1408 T^{7} - 53466 T^{8} + 18304 T^{9} + 346112 T^{10} - 1546688 T^{11} - 114244 T^{12} + 23762752 T^{13} + 815730721 T^{16} $)($ ( 1 - 64 T^{3} - 36 T^{4} + 704 T^{5} + 2048 T^{6} - 384 T^{7} - 43930 T^{8} - 4992 T^{9} + 346112 T^{10} + 1546688 T^{11} - 1028196 T^{12} - 23762752 T^{13} + 815730721 T^{16} )^{2} $)($ ( 1 - 64 T^{3} - 36 T^{4} + 704 T^{5} + 2048 T^{6} - 384 T^{7} - 43930 T^{8} - 4992 T^{9} + 346112 T^{10} + 1546688 T^{11} - 1028196 T^{12} - 23762752 T^{13} + 815730721 T^{16} )^{2} $)($ 1 + 2 T^{2} - 165 T^{4} + 338 T^{6} + 28561 T^{8} $)($ 1 + 2 T^{2} - 165 T^{4} + 338 T^{6} + 28561 T^{8} $)($ ( 1 + 13 T^{2} + 169 T^{4} )^{4} $)($ ( 1 + 10 T^{2} + 121 T^{4} - 3590 T^{6} - 45020 T^{8} - 606710 T^{10} + 3455881 T^{12} + 48268090 T^{14} + 815730721 T^{16} )^{2} $)($ ( 1 + 17 T^{2} + 120 T^{4} + 2873 T^{6} + 28561 T^{8} )^{4} $)($ ( 1 + 13 T^{2} + 169 T^{4} )^{2} $)($ ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) $)($ ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) $)($ ( 1 + 13 T^{2} + 169 T^{4} )^{2} $)($ ( 1 - 2 T^{2} - 227 T^{4} + 214 T^{6} + 24124 T^{8} + 36166 T^{10} - 6483347 T^{12} - 9653618 T^{14} + 815730721 T^{16} )^{2} $)($ ( 1 + 25 T^{2} + 456 T^{4} + 4225 T^{6} + 28561 T^{8} )^{4} $)($ 1 - 4 T + 6 T^{2} - 4 T^{3} + 2 T^{4} - 52 T^{5} + 1014 T^{6} - 8788 T^{7} + 28561 T^{8} $)($ 1 + 8 T + 36 T^{2} + 104 T^{3} + 200 T^{4} - 72 T^{5} - 4084 T^{6} - 34216 T^{7} - 153618 T^{8} - 444808 T^{9} - 690196 T^{10} - 158184 T^{11} + 5712200 T^{12} + 38614472 T^{13} + 173765124 T^{14} + 501988136 T^{15} + 815730721 T^{16} $)
$17$	($ 1 - 2 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 - 4 T + 17 T^{2} $)($ 1 + 4 T + 17 T^{2} $)($ 1 - 4 T + 17 T^{2} $)($ 1 + 4 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 + 6 T + 17 T^{2} $)($ 1 + 6 T + 17 T^{2} $)($ 1 + 6 T + 17 T^{2} $)($ 1 + 6 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 + 4 T + 17 T^{2} $)($ 1 - 4 T + 17 T^{2} $)($ 1 + 4 T + 17 T^{2} $)($ 1 - 4 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 - 2 T + 17 T^{2} $)($ 1 - 32 T^{2} + 706 T^{4} - 9248 T^{6} + 83521 T^{8} $)($ 1 - 32 T^{2} + 706 T^{4} - 9248 T^{6} + 83521 T^{8} $)($ 1 - 32 T^{2} + 706 T^{4} - 9248 T^{6} + 83521 T^{8} $)($ 1 - 32 T^{2} + 706 T^{4} - 9248 T^{6} + 83521 T^{8} $)($ ( 1 - 2 T + 17 T^{2} )^{2} $)($ ( 1 + 8 T + 17 T^{2} )^{2} $)($ ( 1 + 6 T + 17 T^{2} )^{2} $)($ ( 1 - 2 T + 17 T^{2} )^{2} $)($ ( 1 - 8 T + 17 T^{2} )^{2} $)($ ( 1 - 2 T + 17 T^{2} )^{2} $)($ ( 1 + 17 T^{2} )^{4} $)($ ( 1 - 2 T + 17 T^{2} )^{4} $)($ ( 1 - 32 T^{2} + 289 T^{4} )^{2} $)($ ( 1 - 16 T^{2} + 289 T^{4} )^{2} $)($ ( 1 + 16 T^{2} + 289 T^{4} )^{2} $)($ ( 1 - 32 T^{2} + 289 T^{4} )^{2} $)($ ( 1 - T + 17 T^{2} )^{2} $)($ ( 1 - T + 17 T^{2} )^{2} $)($ ( 1 - T + 17 T^{2} )^{2} $)($ ( 1 - T + 17 T^{2} )^{2} $)($ ( 1 + 3 T + 61 T^{2} + 124 T^{3} + 1666 T^{4} + 2590 T^{5} + 28322 T^{6} + 35836 T^{7} + 299693 T^{8} + 250563 T^{9} + 1419857 T^{10} )^{2} $)($ ( 1 + 3 T + 61 T^{2} + 124 T^{3} + 1666 T^{4} + 2590 T^{5} + 28322 T^{6} + 35836 T^{7} + 299693 T^{8} + 250563 T^{9} + 1419857 T^{10} )^{2} $)($ ( 1 + 3 T + 61 T^{2} + 124 T^{3} + 1666 T^{4} + 2590 T^{5} + 28322 T^{6} + 35836 T^{7} + 299693 T^{8} + 250563 T^{9} + 1419857 T^{10} )^{2} $)($ ( 1 + 3 T + 61 T^{2} + 124 T^{3} + 1666 T^{4} + 2590 T^{5} + 28322 T^{6} + 35836 T^{7} + 299693 T^{8} + 250563 T^{9} + 1419857 T^{10} )^{2} $)($ ( 1 - 2 T + 19 T^{2} + 6 T^{3} + 115 T^{4} - 456 T^{5} + 4566 T^{6} - 7752 T^{7} + 33235 T^{8} + 29478 T^{9} + 1586899 T^{10} - 2839714 T^{11} + 24137569 T^{12} )^{2} $)($ ( 1 - 2 T + 19 T^{2} + 6 T^{3} + 115 T^{4} - 456 T^{5} + 4566 T^{6} - 7752 T^{7} + 33235 T^{8} + 29478 T^{9} + 1586899 T^{10} - 2839714 T^{11} + 24137569 T^{12} )^{2} $)($ ( 1 - 2 T + 19 T^{2} + 6 T^{3} + 115 T^{4} - 456 T^{5} + 4566 T^{6} - 7752 T^{7} + 33235 T^{8} + 29478 T^{9} + 1586899 T^{10} - 2839714 T^{11} + 24137569 T^{12} )^{2} $)($ ( 1 - 2 T + 19 T^{2} + 6 T^{3} + 115 T^{4} - 456 T^{5} + 4566 T^{6} - 7752 T^{7} + 33235 T^{8} + 29478 T^{9} + 1586899 T^{10} - 2839714 T^{11} + 24137569 T^{12} )^{2} $)($ ( 1 - 2 T + 17 T^{2} )^{2} $)($ ( 1 - 2 T + 17 T^{2} )^{2} $)($ ( 1 + 36 T^{2} - 64 T^{3} + 662 T^{4} - 1088 T^{5} + 10404 T^{6} + 83521 T^{8} )^{2} $)($ ( 1 + 28 T^{2} + 662 T^{4} + 8092 T^{6} + 83521 T^{8} )^{2} $)($ ( 1 + 28 T^{2} + 662 T^{4} + 8092 T^{6} + 83521 T^{8} )^{2} $)($ ( 1 + 36 T^{2} - 64 T^{3} + 662 T^{4} - 1088 T^{5} + 10404 T^{6} + 83521 T^{8} )^{2} $)($ ( 1 - 64 T^{2} + 1956 T^{4} - 40128 T^{6} + 697542 T^{8} - 11596992 T^{10} + 163367076 T^{12} - 1544804416 T^{14} + 6975757441 T^{16} )^{2} $)($ ( 1 - 64 T^{2} + 1956 T^{4} - 40128 T^{6} + 697542 T^{8} - 11596992 T^{10} + 163367076 T^{12} - 1544804416 T^{14} + 6975757441 T^{16} )^{2} $)($ ( 1 - 31 T^{2} + 289 T^{4} )^{2} $)($ ( 1 - 31 T^{2} + 289 T^{4} )^{2} $)($ ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )^{2}( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} )^{2} $)($ ( 1 - 40 T^{2} + 882 T^{4} - 11560 T^{6} + 83521 T^{8} )^{4} $)($ ( 1 - 16 T^{2} + 289 T^{4} )^{8} $)($ ( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} )^{2} $)($ ( 1 + 7 T + 17 T^{2} )^{4} $)($ ( 1 + 7 T + 17 T^{2} )^{4} $)($ ( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} )^{2} $)($ ( 1 - 6 T + 40 T^{2} - 102 T^{3} + 289 T^{4} )^{8} $)($ ( 1 - 8 T + 44 T^{2} - 136 T^{3} + 289 T^{4} )^{8} $)($ ( 1 - 26 T^{2} + 289 T^{4} )^{2} $)($ 1 - 72 T^{2} + 2620 T^{4} - 64376 T^{6} + 1215110 T^{8} - 18604664 T^{10} + 218825020 T^{12} - 1737904968 T^{14} + 6975757441 T^{16} $)
$19$	($ 1 - 8 T + 19 T^{2} $)($ 1 + 8 T + 19 T^{2} $)($ 1 - 2 T + 19 T^{2} $)($ 1 + 4 T + 19 T^{2} $)($ 1 - 4 T + 19 T^{2} $)($ 1 - 4 T + 19 T^{2} $)($ 1 + 4 T + 19 T^{2} $)($ 1 + 2 T + 19 T^{2} $)($ 1 + 19 T^{2} $)($ 1 + 19 T^{2} $)($ 1 + 19 T^{2} $)($ 1 + 19 T^{2} $)($ 1 + 2 T + 19 T^{2} $)($ 1 + 4 T + 19 T^{2} $)($ 1 - 4 T + 19 T^{2} $)($ 1 - 4 T + 19 T^{2} $)($ 1 + 4 T + 19 T^{2} $)($ 1 - 2 T + 19 T^{2} $)($ 1 + 8 T + 19 T^{2} $)($ 1 - 8 T + 19 T^{2} $)($ ( 1 - 6 T^{2} + 361 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 361 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 361 T^{4} )^{2} $)($ ( 1 - 6 T^{2} + 361 T^{4} )^{2} $)($ 1 - 22 T^{2} + 361 T^{4} $)($ ( 1 - 19 T^{2} )^{2} $)($ ( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} ) $)($ ( 1 - 19 T^{2} )^{2} $)($ ( 1 - 19 T^{2} )^{2} $)($ 1 - 22 T^{2} + 361 T^{4} $)($ ( 1 - 19 T^{2} )^{4} $)($ ( 1 - 22 T^{2} + 361 T^{4} )^{2} $)($ ( 1 + 6 T^{2} + 361 T^{4} )^{2} $)($ ( 1 + 19 T^{2} )^{4} $)($ ( 1 + 19 T^{2} )^{4} $)($ ( 1 + 6 T^{2} + 361 T^{4} )^{2} $)($ ( 1 + 5 T + 19 T^{2} )^{2} $)($ ( 1 + 5 T + 19 T^{2} )^{2} $)($ ( 1 - 5 T + 19 T^{2} )^{2} $)($ ( 1 - 5 T + 19 T^{2} )^{2} $)($ ( 1 + 9 T + 95 T^{2} + 580 T^{3} + 3562 T^{4} + 15686 T^{5} + 67678 T^{6} + 209380 T^{7} + 651605 T^{8} + 1172889 T^{9} + 2476099 T^{10} )^{2} $)($ ( 1 + 9 T + 95 T^{2} + 580 T^{3} + 3562 T^{4} + 15686 T^{5} + 67678 T^{6} + 209380 T^{7} + 651605 T^{8} + 1172889 T^{9} + 2476099 T^{10} )^{2} $)($ ( 1 - 9 T + 95 T^{2} - 580 T^{3} + 3562 T^{4} - 15686 T^{5} + 67678 T^{6} - 209380 T^{7} + 651605 T^{8} - 1172889 T^{9} + 2476099 T^{10} )^{2} $)($ ( 1 - 9 T + 95 T^{2} - 580 T^{3} + 3562 T^{4} - 15686 T^{5} + 67678 T^{6} - 209380 T^{7} + 651605 T^{8} - 1172889 T^{9} + 2476099 T^{10} )^{2} $)($ ( 1 + 2 T + 49 T^{2} + 110 T^{3} + 1635 T^{4} + 3108 T^{5} + 37062 T^{6} + 59052 T^{7} + 590235 T^{8} + 754490 T^{9} + 6385729 T^{10} + 4952198 T^{11} + 47045881 T^{12} )^{2} $)($ ( 1 + 2 T + 49 T^{2} + 110 T^{3} + 1635 T^{4} + 3108 T^{5} + 37062 T^{6} + 59052 T^{7} + 590235 T^{8} + 754490 T^{9} + 6385729 T^{10} + 4952198 T^{11} + 47045881 T^{12} )^{2} $)($ ( 1 - 2 T + 49 T^{2} - 110 T^{3} + 1635 T^{4} - 3108 T^{5} + 37062 T^{6} - 59052 T^{7} + 590235 T^{8} - 754490 T^{9} + 6385729 T^{10} - 4952198 T^{11} + 47045881 T^{12} )^{2} $)($ ( 1 - 2 T + 49 T^{2} - 110 T^{3} + 1635 T^{4} - 3108 T^{5} + 37062 T^{6} - 59052 T^{7} + 590235 T^{8} - 754490 T^{9} + 6385729 T^{10} - 4952198 T^{11} + 47045881 T^{12} )^{2} $)($ 1 - 6 T + 18 T^{2} - 114 T^{3} + 361 T^{4} $)($ 1 + 6 T + 18 T^{2} + 114 T^{3} + 361 T^{4} $)($ 1 - 8 T + 32 T^{2} - 120 T^{3} + 452 T^{4} - 2168 T^{5} + 10080 T^{6} - 37832 T^{7} + 138918 T^{8} - 718808 T^{9} + 3638880 T^{10} - 14870312 T^{11} + 58905092 T^{12} - 297131880 T^{13} + 1505468192 T^{14} - 7150973912 T^{15} + 16983563041 T^{16} $)($ ( 1 + 4 T + 8 T^{2} + 28 T^{3} - 46 T^{4} + 532 T^{5} + 2888 T^{6} + 27436 T^{7} + 130321 T^{8} )^{2} $)($ ( 1 - 4 T + 8 T^{2} - 28 T^{3} - 46 T^{4} - 532 T^{5} + 2888 T^{6} - 27436 T^{7} + 130321 T^{8} )^{2} $)($ 1 + 8 T + 32 T^{2} + 120 T^{3} + 452 T^{4} + 2168 T^{5} + 10080 T^{6} + 37832 T^{7} + 138918 T^{8} + 718808 T^{9} + 3638880 T^{10} + 14870312 T^{11} + 58905092 T^{12} + 297131880 T^{13} + 1505468192 T^{14} + 7150973912 T^{15} + 16983563041 T^{16} $)($ ( 1 + 8 T + 32 T^{2} + 184 T^{3} + 388 T^{4} - 1992 T^{5} - 11424 T^{6} - 82616 T^{7} - 538074 T^{8} - 1569704 T^{9} - 4124064 T^{10} - 13663128 T^{11} + 50564548 T^{12} + 455602216 T^{13} + 1505468192 T^{14} + 7150973912 T^{15} + 16983563041 T^{16} )^{2} $)($ ( 1 - 8 T + 32 T^{2} - 184 T^{3} + 388 T^{4} + 1992 T^{5} - 11424 T^{6} + 82616 T^{7} - 538074 T^{8} + 1569704 T^{9} - 4124064 T^{10} + 13663128 T^{11} + 50564548 T^{12} - 455602216 T^{13} + 1505468192 T^{14} - 7150973912 T^{15} + 16983563041 T^{16} )^{2} $)($ ( 1 + 3 T + 19 T^{2} )^{4} $)($ ( 1 - 3 T + 19 T^{2} )^{4} $)($ ( 1 + 34 T^{2} + 795 T^{4} + 12274 T^{6} + 130321 T^{8} )^{2} $)($ ( 1 + 52 T^{2} + 1302 T^{4} + 18772 T^{6} + 130321 T^{8} )^{4} $)($ ( 1 + 4 T^{2} - 138 T^{4} + 1444 T^{6} + 130321 T^{8} )^{4} $)($ ( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} )( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} ) $)($ ( 1 - 13 T^{2} + 361 T^{4} )^{2} $)($ ( 1 - 13 T^{2} + 361 T^{4} )^{2} $)($ ( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} )( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} ) $)($ ( 1 - 14 T^{2} + 361 T^{4} )^{8} $)($ ( 1 - 19 T^{2} )^{16} $)($ 1 - 8 T + 18 T^{2} + 160 T^{3} - 1246 T^{4} + 3040 T^{5} + 6498 T^{6} - 54872 T^{7} + 130321 T^{8} $)($ 1 + 4 T - 8 T^{2} + 28 T^{3} + 336 T^{4} + 1308 T^{5} + 14056 T^{6} + 28228 T^{7} - 115058 T^{8} + 536332 T^{9} + 5074216 T^{10} + 8971572 T^{11} + 43787856 T^{12} + 69330772 T^{13} - 376367048 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} $)
$23$	($ 1 - 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ 1 - 8 T + 23 T^{2} $)($ 1 + 8 T + 23 T^{2} $)($ 1 + 8 T + 23 T^{2} $)($ 1 - 8 T + 23 T^{2} $)($ 1 - 4 T + 23 T^{2} $)($ 1 - 4 T + 23 T^{2} $)($ 1 - 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ 1 + 8 T + 23 T^{2} $)($ 1 - 8 T + 23 T^{2} $)($ 1 - 8 T + 23 T^{2} $)($ 1 + 8 T + 23 T^{2} $)($ 1 - 4 T + 23 T^{2} $)($ 1 - 4 T + 23 T^{2} $)($ 1 + 4 T + 23 T^{2} $)($ ( 1 + 8 T + 54 T^{2} + 184 T^{3} + 529 T^{4} )^{2} $)($ ( 1 + 8 T + 54 T^{2} + 184 T^{3} + 529 T^{4} )^{2} $)($ ( 1 - 8 T + 54 T^{2} - 184 T^{3} + 529 T^{4} )^{2} $)($ ( 1 - 8 T + 54 T^{2} - 184 T^{3} + 529 T^{4} )^{2} $)($ ( 1 - 8 T + 23 T^{2} )^{2} $)($ ( 1 + 23 T^{2} )^{2} $)($ ( 1 + 23 T^{2} )^{2} $)($ ( 1 + 23 T^{2} )^{2} $)($ ( 1 + 23 T^{2} )^{2} $)($ ( 1 + 8 T + 23 T^{2} )^{2} $)($ ( 1 + 23 T^{2} )^{4} $)($ ( 1 + 14 T^{2} + 529 T^{4} )^{2} $)($ ( 1 + 4 T + 23 T^{2} )^{4} $)($ ( 1 + 23 T^{2} )^{4} $)($ ( 1 + 23 T^{2} )^{4} $)($ ( 1 - 4 T + 23 T^{2} )^{4} $)($ 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} $)($ 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} $)($ 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} $)($ 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} $)($ 1 - 4 T - 67 T^{2} + 448 T^{3} + 2204 T^{4} - 21046 T^{5} - 18229 T^{6} + 557656 T^{7} - 893021 T^{8} - 5599446 T^{9} + 38685828 T^{10} - 128787258 T^{11} - 472408109 T^{12} + 6785000552 T^{13} - 5101221589 T^{14} - 135459274778 T^{15} + 326271099356 T^{16} + 1525361800256 T^{17} - 5246836013827 T^{18} - 7204610645852 T^{19} + 41426511213649 T^{20} $)($ 1 + 4 T - 67 T^{2} - 448 T^{3} + 2204 T^{4} + 21046 T^{5} - 18229 T^{6} - 557656 T^{7} - 893021 T^{8} + 5599446 T^{9} + 38685828 T^{10} + 128787258 T^{11} - 472408109 T^{12} - 6785000552 T^{13} - 5101221589 T^{14} + 135459274778 T^{15} + 326271099356 T^{16} - 1525361800256 T^{17} - 5246836013827 T^{18} + 7204610645852 T^{19} + 41426511213649 T^{20} $)($ 1 - 4 T - 67 T^{2} + 448 T^{3} + 2204 T^{4} - 21046 T^{5} - 18229 T^{6} + 557656 T^{7} - 893021 T^{8} - 5599446 T^{9} + 38685828 T^{10} - 128787258 T^{11} - 472408109 T^{12} + 6785000552 T^{13} - 5101221589 T^{14} - 135459274778 T^{15} + 326271099356 T^{16} + 1525361800256 T^{17} - 5246836013827 T^{18} - 7204610645852 T^{19} + 41426511213649 T^{20} $)($ 1 + 4 T - 67 T^{2} - 448 T^{3} + 2204 T^{4} + 21046 T^{5} - 18229 T^{6} - 557656 T^{7} - 893021 T^{8} + 5599446 T^{9} + 38685828 T^{10} + 128787258 T^{11} - 472408109 T^{12} - 6785000552 T^{13} - 5101221589 T^{14} + 135459274778 T^{15} + 326271099356 T^{16} - 1525361800256 T^{17} - 5246836013827 T^{18} + 7204610645852 T^{19} + 41426511213649 T^{20} $)($ 1 + 8 T - 10 T^{2} - 252 T^{3} - 650 T^{4} + 1334 T^{5} + 7724 T^{6} - 18798 T^{7} - 55530 T^{8} + 2562028 T^{9} + 14851874 T^{10} - 40741060 T^{11} - 563728326 T^{12} - 937044380 T^{13} + 7856641346 T^{14} + 31172194676 T^{15} - 15539570730 T^{16} - 120990375714 T^{17} + 1143429206636 T^{18} + 4542037146298 T^{19} - 50902140432650 T^{20} - 453890470688676 T^{21} - 414265112136490 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} $)($ 1 - 8 T - 10 T^{2} + 252 T^{3} - 650 T^{4} - 1334 T^{5} + 7724 T^{6} + 18798 T^{7} - 55530 T^{8} - 2562028 T^{9} + 14851874 T^{10} + 40741060 T^{11} - 563728326 T^{12} + 937044380 T^{13} + 7856641346 T^{14} - 31172194676 T^{15} - 15539570730 T^{16} + 120990375714 T^{17} + 1143429206636 T^{18} - 4542037146298 T^{19} - 50902140432650 T^{20} + 453890470688676 T^{21} - 414265112136490 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24} $)($ 1 - 8 T - 10 T^{2} + 252 T^{3} - 650 T^{4} - 1334 T^{5} + 7724 T^{6} + 18798 T^{7} - 55530 T^{8} - 2562028 T^{9} + 14851874 T^{10} + 40741060 T^{11} - 563728326 T^{12} + 937044380 T^{13} + 7856641346 T^{14} - 31172194676 T^{15} - 15539570730 T^{16} + 120990375714 T^{17} + 1143429206636 T^{18} - 4542037146298 T^{19} - 50902140432650 T^{20} + 453890470688676 T^{21} - 414265112136490 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24} $)($ 1 + 8 T - 10 T^{2} - 252 T^{3} - 650 T^{4} + 1334 T^{5} + 7724 T^{6} - 18798 T^{7} - 55530 T^{8} + 2562028 T^{9} + 14851874 T^{10} - 40741060 T^{11} - 563728326 T^{12} - 937044380 T^{13} + 7856641346 T^{14} + 31172194676 T^{15} - 15539570730 T^{16} - 120990375714 T^{17} + 1143429206636 T^{18} + 4542037146298 T^{19} - 50902140432650 T^{20} - 453890470688676 T^{21} - 414265112136490 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} $)($ 1 - 10 T^{2} + 529 T^{4} $)($ 1 - 10 T^{2} + 529 T^{4} $)($ ( 1 - 38 T^{2} + 529 T^{4} )^{4} $)($ ( 1 - 12 T^{2} + 646 T^{4} - 6348 T^{6} + 279841 T^{8} )^{2} $)($ ( 1 - 12 T^{2} + 646 T^{4} - 6348 T^{6} + 279841 T^{8} )^{2} $)($ ( 1 - 38 T^{2} + 529 T^{4} )^{4} $)($ ( 1 - 88 T^{2} + 3004 T^{4} - 46440 T^{6} + 546118 T^{8} - 24566760 T^{10} + 840642364 T^{12} - 13027158232 T^{14} + 78310985281 T^{16} )^{2} $)($ ( 1 - 88 T^{2} + 3004 T^{4} - 46440 T^{6} + 546118 T^{8} - 24566760 T^{10} + 840642364 T^{12} - 13027158232 T^{14} + 78310985281 T^{16} )^{2} $)($ 1 + 26 T^{2} + 147 T^{4} + 13754 T^{6} + 279841 T^{8} $)($ 1 + 26 T^{2} + 147 T^{4} + 13754 T^{6} + 279841 T^{8} $)($ ( 1 - 23 T^{2} + 529 T^{4} )^{4} $)($ ( 1 - 14 T^{2} + 439 T^{4} + 18214 T^{6} - 324476 T^{8} + 9635206 T^{10} + 122850199 T^{12} - 2072502446 T^{14} + 78310985281 T^{16} )^{2} $)($ ( 1 - 74 T^{2} + 3103 T^{4} - 97310 T^{6} + 2454484 T^{8} - 51476990 T^{10} + 868346623 T^{12} - 10954655786 T^{14} + 78310985281 T^{16} )^{2} $)($ ( 1 - 23 T^{2} + 529 T^{4} )^{2} $)($ ( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{2} $)($ ( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} )^{2} $)($ ( 1 - 23 T^{2} + 529 T^{4} )^{2} $)($ ( 1 - 20 T^{2} - 83 T^{4} + 11500 T^{6} - 258152 T^{8} + 6083500 T^{10} - 23226803 T^{12} - 2960717780 T^{14} + 78310985281 T^{16} )^{2} $)($ ( 1 - 38 T^{2} + 511 T^{4} + 4750 T^{6} - 173228 T^{8} + 2512750 T^{10} + 142998751 T^{12} - 5625363782 T^{14} + 78310985281 T^{16} )^{2} $)($ 1 - 12 T + 72 T^{2} - 300 T^{3} + 1246 T^{4} - 6900 T^{5} + 38088 T^{6} - 146004 T^{7} + 279841 T^{8} $)($ 1 + 8 T + 32 T^{2} + 200 T^{3} + 2108 T^{4} + 11560 T^{5} + 45024 T^{6} + 277224 T^{7} + 1704454 T^{8} + 6376152 T^{9} + 23817696 T^{10} + 140650520 T^{11} + 589904828 T^{12} + 1287268600 T^{13} + 4737148448 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} $)
$29$	($ 1 + 29 T^{2} $)($ 1 + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 + 4 T + 29 T^{2} $)($ 1 - 4 T + 29 T^{2} $)($ 1 - 4 T + 29 T^{2} $)($ 1 + 4 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 - 6 T + 29 T^{2} $)($ 1 + 6 T + 29 T^{2} $)($ 1 + 29 T^{2} $)($ 1 + 29 T^{2} $)($ 1 - 104 T^{2} + 4354 T^{4} - 87464 T^{6} + 707281 T^{8} $)($ 1 - 104 T^{2} + 4354 T^{4} - 87464 T^{6} + 707281 T^{8} $)($ 1 - 104 T^{2} + 4354 T^{4} - 87464 T^{6} + 707281 T^{8} $)($ 1 - 104 T^{2} + 4354 T^{4} - 87464 T^{6} + 707281 T^{8} $)($ 1 + 6 T^{2} + 841 T^{4} $)($ ( 1 - 4 T + 29 T^{2} )( 1 + 4 T + 29 T^{2} ) $)($ ( 1 - 29 T^{2} )^{2} $)($ ( 1 - 10 T + 29 T^{2} )( 1 + 10 T + 29 T^{2} ) $)($ ( 1 - 4 T + 29 T^{2} )( 1 + 4 T + 29 T^{2} ) $)($ 1 + 6 T^{2} + 841 T^{4} $)($ ( 1 + 50 T^{2} + 841 T^{4} )^{2} $)($ ( 1 - 50 T^{2} + 841 T^{4} )^{2} $)($ ( 1 + 8 T^{2} + 841 T^{4} )^{2} $)($ ( 1 - 40 T^{2} + 841 T^{4} )^{2} $)($ ( 1 + 40 T^{2} + 841 T^{4} )^{2} $)($ ( 1 + 8 T^{2} + 841 T^{4} )^{2} $)($ 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} $)($ 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} $)($ 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} $)($ 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} $)($ 1 + 4 T - 49 T^{2} - 464 T^{3} + 28 T^{4} + 15992 T^{5} + 53985 T^{6} - 260556 T^{7} - 2006961 T^{8} + 2487664 T^{9} + 53816488 T^{10} + 72142256 T^{11} - 1687854201 T^{12} - 6354700284 T^{13} + 38182564785 T^{14} + 328014294808 T^{15} + 16655052988 T^{16} - 8003942607376 T^{17} - 24512074235089 T^{18} + 58028583903476 T^{19} + 420707233300201 T^{20} $)($ 1 - 4 T - 49 T^{2} + 464 T^{3} + 28 T^{4} - 15992 T^{5} + 53985 T^{6} + 260556 T^{7} - 2006961 T^{8} - 2487664 T^{9} + 53816488 T^{10} - 72142256 T^{11} - 1687854201 T^{12} + 6354700284 T^{13} + 38182564785 T^{14} - 328014294808 T^{15} + 16655052988 T^{16} + 8003942607376 T^{17} - 24512074235089 T^{18} - 58028583903476 T^{19} + 420707233300201 T^{20} $)($ 1 - 4 T - 49 T^{2} + 464 T^{3} + 28 T^{4} - 15992 T^{5} + 53985 T^{6} + 260556 T^{7} - 2006961 T^{8} - 2487664 T^{9} + 53816488 T^{10} - 72142256 T^{11} - 1687854201 T^{12} + 6354700284 T^{13} + 38182564785 T^{14} - 328014294808 T^{15} + 16655052988 T^{16} + 8003942607376 T^{17} - 24512074235089 T^{18} - 58028583903476 T^{19} + 420707233300201 T^{20} $)($ 1 + 4 T - 49 T^{2} - 464 T^{3} + 28 T^{4} + 15992 T^{5} + 53985 T^{6} - 260556 T^{7} - 2006961 T^{8} + 2487664 T^{9} + 53816488 T^{10} + 72142256 T^{11} - 1687854201 T^{12} - 6354700284 T^{13} + 38182564785 T^{14} + 328014294808 T^{15} + 16655052988 T^{16} - 8003942607376 T^{17} - 24512074235089 T^{18} + 58028583903476 T^{19} + 420707233300201 T^{20} $)($ 1 + 2 T - 86 T^{2} - 244 T^{3} + 2642 T^{4} + 9254 T^{5} - 80308 T^{6} - 141174 T^{7} + 4438542 T^{8} + 3069156 T^{9} - 146032362 T^{10} - 64819794 T^{11} + 3526923078 T^{12} - 1879774026 T^{13} - 122813216442 T^{14} + 74853645684 T^{15} + 3139296424302 T^{16} - 2895640948926 T^{17} - 47769071262868 T^{18} + 159630355363486 T^{19} + 1321651023042962 T^{20} - 3539743618112036 T^{21} - 36180822063817286 T^{22} + 24401019531411658 T^{23} + 353814783205469041 T^{24} $)($ 1 - 2 T - 86 T^{2} + 244 T^{3} + 2642 T^{4} - 9254 T^{5} - 80308 T^{6} + 141174 T^{7} + 4438542 T^{8} - 3069156 T^{9} - 146032362 T^{10} + 64819794 T^{11} + 3526923078 T^{12} + 1879774026 T^{13} - 122813216442 T^{14} - 74853645684 T^{15} + 3139296424302 T^{16} + 2895640948926 T^{17} - 47769071262868 T^{18} - 159630355363486 T^{19} + 1321651023042962 T^{20} + 3539743618112036 T^{21} - 36180822063817286 T^{22} - 24401019531411658 T^{23} + 353814783205469041 T^{24} $)($ 1 + 2 T - 86 T^{2} - 244 T^{3} + 2642 T^{4} + 9254 T^{5} - 80308 T^{6} - 141174 T^{7} + 4438542 T^{8} + 3069156 T^{9} - 146032362 T^{10} - 64819794 T^{11} + 3526923078 T^{12} - 1879774026 T^{13} - 122813216442 T^{14} + 74853645684 T^{15} + 3139296424302 T^{16} - 2895640948926 T^{17} - 47769071262868 T^{18} + 159630355363486 T^{19} + 1321651023042962 T^{20} - 3539743618112036 T^{21} - 36180822063817286 T^{22} + 24401019531411658 T^{23} + 353814783205469041 T^{24} $)($ 1 - 2 T - 86 T^{2} + 244 T^{3} + 2642 T^{4} - 9254 T^{5} - 80308 T^{6} + 141174 T^{7} + 4438542 T^{8} - 3069156 T^{9} - 146032362 T^{10} + 64819794 T^{11} + 3526923078 T^{12} + 1879774026 T^{13} - 122813216442 T^{14} - 74853645684 T^{15} + 3139296424302 T^{16} + 2895640948926 T^{17} - 47769071262868 T^{18} - 159630355363486 T^{19} + 1321651023042962 T^{20} + 3539743618112036 T^{21} - 36180822063817286 T^{22} - 24401019531411658 T^{23} + 353814783205469041 T^{24} $)($ ( 1 - 10 T + 29 T^{2} )( 1 + 4 T + 29 T^{2} ) $)($ ( 1 - 10 T + 29 T^{2} )( 1 + 4 T + 29 T^{2} ) $)($ 1 + 16 T + 128 T^{2} + 928 T^{3} + 6580 T^{4} + 38208 T^{5} + 199680 T^{6} + 1073680 T^{7} + 5802054 T^{8} + 31136720 T^{9} + 167930880 T^{10} + 931854912 T^{11} + 4653908980 T^{12} + 19034346272 T^{13} + 76137385088 T^{14} + 275998020944 T^{15} + 500246412961 T^{16} $)($ 1 + 180 T^{4} - 772538 T^{8} + 127310580 T^{12} + 500246412961 T^{16} $)($ 1 + 180 T^{4} - 772538 T^{8} + 127310580 T^{12} + 500246412961 T^{16} $)($ 1 + 16 T + 128 T^{2} + 928 T^{3} + 6580 T^{4} + 38208 T^{5} + 199680 T^{6} + 1073680 T^{7} + 5802054 T^{8} + 31136720 T^{9} + 167930880 T^{10} + 931854912 T^{11} + 4653908980 T^{12} + 19034346272 T^{13} + 76137385088 T^{14} + 275998020944 T^{15} + 500246412961 T^{16} $)($ 1 - 1672 T^{4} + 1133916 T^{8} - 595679544 T^{12} + 410245939974 T^{16} - 421312823559864 T^{20} + 567237411599085276 T^{24} - $$59\!\cdots\!52$$ T^{28} + $$25\!\cdots\!21$$ T^{32} $)($ 1 - 1672 T^{4} + 1133916 T^{8} - 595679544 T^{12} + 410245939974 T^{16} - 421312823559864 T^{20} + 567237411599085276 T^{24} - $$59\!\cdots\!52$$ T^{28} + $$25\!\cdots\!21$$ T^{32} $)($ 1 - 26 T^{2} - 165 T^{4} - 21866 T^{6} + 707281 T^{8} $)($ 1 - 26 T^{2} - 165 T^{4} - 21866 T^{6} + 707281 T^{8} $)($ ( 1 - 29 T^{2} + 841 T^{4} )^{4} $)($ ( 1 - 38 T^{2} - 503 T^{4} - 10070 T^{6} + 1869124 T^{8} - 8468870 T^{10} - 355762343 T^{12} - 22603286198 T^{14} + 500246412961 T^{16} )^{2} $)($ ( 1 - 46 T^{2} + 769 T^{4} + 15410 T^{6} - 672428 T^{8} + 12959810 T^{10} + 543899089 T^{12} - 27361872766 T^{14} + 500246412961 T^{16} )^{2} $)($ ( 1 + 29 T^{2} + 841 T^{4} )^{2} $)($ ( 1 - 10 T + 71 T^{2} - 290 T^{3} + 841 T^{4} )( 1 + 10 T + 71 T^{2} + 290 T^{3} + 841 T^{4} ) $)($ ( 1 - 10 T + 71 T^{2} - 290 T^{3} + 841 T^{4} )( 1 + 10 T + 71 T^{2} + 290 T^{3} + 841 T^{4} ) $)($ ( 1 + 29 T^{2} + 841 T^{4} )^{2} $)($ ( 1 + 62 T^{2} + 1309 T^{4} + 52886 T^{6} + 2486140 T^{8} + 44477126 T^{10} + 925830829 T^{12} + 36879045902 T^{14} + 500246412961 T^{16} )^{2} $)($ ( 1 + 66 T^{2} + 1681 T^{4} + 65538 T^{6} + 2784948 T^{8} + 55117458 T^{10} + 1188939361 T^{12} + 39258339186 T^{14} + 500246412961 T^{16} )^{2} $)($ 1 - 4 T + 6 T^{2} + 204 T^{3} - 830 T^{4} + 5916 T^{5} + 5046 T^{6} - 97556 T^{7} + 707281 T^{8} $)($ 1 - 12 T^{2} + 64 T^{3} + 72 T^{4} - 4416 T^{5} + 14140 T^{6} + 57344 T^{7} - 693650 T^{8} + 1662976 T^{9} + 11891740 T^{10} - 107701824 T^{11} + 50924232 T^{12} + 1312713536 T^{13} - 7137879852 T^{14} + 500246412961 T^{16} $)
$31$	($ 1 - 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 + 31 T^{2} $)($ 1 - 6 T + 31 T^{2} $)($ 1 - 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 + 31 T^{2} $)($ 1 + 10 T + 31 T^{2} $)($ 1 + 10 T + 31 T^{2} $)($ 1 - 10 T + 31 T^{2} $)($ 1 - 10 T + 31 T^{2} $)($ 1 + 31 T^{2} $)($ 1 - 6 T + 31 T^{2} $)($ 1 - 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 + 31 T^{2} $)($ 1 - 6 T + 31 T^{2} $)($ 1 + 6 T + 31 T^{2} $)($ 1 - 36 T^{2} + 1094 T^{4} - 34596 T^{6} + 923521 T^{8} $)($ 1 - 36 T^{2} + 1094 T^{4} - 34596 T^{6} + 923521 T^{8} $)($ 1 - 36 T^{2} + 1094 T^{4} - 34596 T^{6} + 923521 T^{8} $)($ 1 - 36 T^{2} + 1094 T^{4} - 34596 T^{6} + 923521 T^{8} $)($ ( 1 - 4 T + 31 T^{2} )^{2} $)($ ( 1 + 31 T^{2} )^{2} $)($ ( 1 + 31 T^{2} )^{2} $)($ ( 1 + 31 T^{2} )^{2} $)($ ( 1 + 31 T^{2} )^{2} $)($ ( 1 + 4 T + 31 T^{2} )^{2} $)($ ( 1 + 38 T^{2} + 961 T^{4} )^{2} $)($ ( 1 - 10 T^{2} + 961 T^{4} )^{2} $)($ ( 1 + 10 T^{2} + 961 T^{4} )^{2} $)($ ( 1 - 31 T^{2} )^{4} $)($ ( 1 - 31 T^{2} )^{4} $)($ ( 1 + 10 T^{2} + 961 T^{4} )^{2} $)($ 1 - 31 T^{2} + 961 T^{4} $)($ 1 - 31 T^{2} + 961 T^{4} $)($ 1 - 31 T^{2} + 961 T^{4} $)($ 1 - 31 T^{2} + 961 T^{4} $)($ 1 + 8 T - 23 T^{2} - 436 T^{3} - 1532 T^{4} + 566 T^{5} + 10095 T^{6} + 4740 T^{7} + 827475 T^{8} + 4805962 T^{9} + 6955412 T^{10} + 148984822 T^{11} + 795203475 T^{12} + 141209340 T^{13} + 9322944495 T^{14} + 16204099466 T^{15} - 1359655639292 T^{16} - 11995499752396 T^{17} - 19616493861143 T^{18} + 211516977285368 T^{19} + 819628286980801 T^{20} $)($ 1 - 8 T - 23 T^{2} + 436 T^{3} - 1532 T^{4} - 566 T^{5} + 10095 T^{6} - 4740 T^{7} + 827475 T^{8} - 4805962 T^{9} + 6955412 T^{10} - 148984822 T^{11} + 795203475 T^{12} - 141209340 T^{13} + 9322944495 T^{14} - 16204099466 T^{15} - 1359655639292 T^{16} + 11995499752396 T^{17} - 19616493861143 T^{18} - 211516977285368 T^{19} + 819628286980801 T^{20} $)($ 1 + 8 T - 23 T^{2} - 436 T^{3} - 1532 T^{4} + 566 T^{5} + 10095 T^{6} + 4740 T^{7} + 827475 T^{8} + 4805962 T^{9} + 6955412 T^{10} + 148984822 T^{11} + 795203475 T^{12} + 141209340 T^{13} + 9322944495 T^{14} + 16204099466 T^{15} - 1359655639292 T^{16} - 11995499752396 T^{17} - 19616493861143 T^{18} + 211516977285368 T^{19} + 819628286980801 T^{20} $)($ 1 - 8 T - 23 T^{2} + 436 T^{3} - 1532 T^{4} - 566 T^{5} + 10095 T^{6} - 4740 T^{7} + 827475 T^{8} - 4805962 T^{9} + 6955412 T^{10} - 148984822 T^{11} + 795203475 T^{12} - 141209340 T^{13} + 9322944495 T^{14} - 16204099466 T^{15} - 1359655639292 T^{16} + 11995499752396 T^{17} - 19616493861143 T^{18} - 211516977285368 T^{19} + 819628286980801 T^{20} $)($ 1 + 8 T - 50 T^{2} - 116 T^{3} + 3034 T^{4} - 10138 T^{5} - 131348 T^{6} - 10566 T^{7} + 1346874 T^{8} + 5966220 T^{9} - 99477774 T^{10} + 7938012 T^{11} + 6918069882 T^{12} + 246078372 T^{13} - 95598140814 T^{14} + 177739660020 T^{15} + 1243866423354 T^{16} - 302495609466 T^{17} - 116571833491988 T^{18} - 278922881857318 T^{19} + 2587671407595994 T^{20} - 3066996170637836 T^{21} - 40981414349040050 T^{22} + 203267815171238648 T^{23} + 787662783788549761 T^{24} $)($ 1 - 8 T - 50 T^{2} + 116 T^{3} + 3034 T^{4} + 10138 T^{5} - 131348 T^{6} + 10566 T^{7} + 1346874 T^{8} - 5966220 T^{9} - 99477774 T^{10} - 7938012 T^{11} + 6918069882 T^{12} - 246078372 T^{13} - 95598140814 T^{14} - 177739660020 T^{15} + 1243866423354 T^{16} + 302495609466 T^{17} - 116571833491988 T^{18} + 278922881857318 T^{19} + 2587671407595994 T^{20} + 3066996170637836 T^{21} - 40981414349040050 T^{22} - 203267815171238648 T^{23} + 787662783788549761 T^{24} $)($ 1 - 8 T - 50 T^{2} + 116 T^{3} + 3034 T^{4} + 10138 T^{5} - 131348 T^{6} + 10566 T^{7} + 1346874 T^{8} - 5966220 T^{9} - 99477774 T^{10} - 7938012 T^{11} + 6918069882 T^{12} - 246078372 T^{13} - 95598140814 T^{14} - 177739660020 T^{15} + 1243866423354 T^{16} + 302495609466 T^{17} - 116571833491988 T^{18} + 278922881857318 T^{19} + 2587671407595994 T^{20} + 3066996170637836 T^{21} - 40981414349040050 T^{22} - 203267815171238648 T^{23} + 787662783788549761 T^{24} $)($ 1 + 8 T - 50 T^{2} - 116 T^{3} + 3034 T^{4} - 10138 T^{5} - 131348 T^{6} - 10566 T^{7} + 1346874 T^{8} + 5966220 T^{9} - 99477774 T^{10} + 7938012 T^{11} + 6918069882 T^{12} + 246078372 T^{13} - 95598140814 T^{14} + 177739660020 T^{15} + 1243866423354 T^{16} - 302495609466 T^{17} - 116571833491988 T^{18} - 278922881857318 T^{19} + 2587671407595994 T^{20} - 3066996170637836 T^{21} - 40981414349040050 T^{22} + 203267815171238648 T^{23} + 787662783788549761 T^{24} $)($ ( 1 - 8 T + 31 T^{2} )^{2} $)($ ( 1 + 8 T + 31 T^{2} )^{2} $)($ ( 1 - 12 T + 164 T^{2} - 1140 T^{3} + 8218 T^{4} - 35340 T^{5} + 157604 T^{6} - 357492 T^{7} + 923521 T^{8} )^{2} $)($ ( 1 - 6 T + 64 T^{2} - 186 T^{3} + 961 T^{4} )^{4} $)($ ( 1 + 6 T + 64 T^{2} + 186 T^{3} + 961 T^{4} )^{4} $)($ ( 1 + 12 T + 164 T^{2} + 1140 T^{3} + 8218 T^{4} + 35340 T^{5} + 157604 T^{6} + 357492 T^{7} + 923521 T^{8} )^{2} $)($ ( 1 - 56 T^{2} + 3492 T^{4} - 137064 T^{6} + 4924550 T^{8} - 131718504 T^{10} + 3224935332 T^{12} - 49700206136 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 - 56 T^{2} + 3492 T^{4} - 137064 T^{6} + 4924550 T^{8} - 131718504 T^{10} + 3224935332 T^{12} - 49700206136 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 + 31 T^{2} + 961 T^{4} )^{2} $)($ ( 1 + 31 T^{2} + 961 T^{4} )^{2} $)($ ( 1 + 31 T^{2} + 961 T^{4} )^{4} $)($ ( 1 - 14 T^{2} - 1289 T^{4} + 6118 T^{6} + 1093348 T^{8} + 5879398 T^{10} - 1190418569 T^{12} - 12425051534 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 + 22 T^{2} - 833 T^{4} - 13310 T^{6} + 345844 T^{8} - 12790910 T^{10} - 769292993 T^{12} + 19525080982 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 - 31 T^{2} + 961 T^{4} )^{2} $)($ ( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} )^{2} $)($ ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{2} $)($ ( 1 - 31 T^{2} + 961 T^{4} )^{2} $)($ ( 1 - 76 T^{2} + 2917 T^{4} - 71212 T^{6} + 1699624 T^{8} - 68434732 T^{10} + 2693910757 T^{12} - 67450279756 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 - 70 T^{2} + 1807 T^{4} - 81970 T^{6} + 3934228 T^{8} - 78773170 T^{10} + 1668802447 T^{12} - 62125257670 T^{14} + 852891037441 T^{16} )^{2} $)($ ( 1 - 4 T + 31 T^{2} )^{4} $)($ ( 1 + 8 T + 70 T^{2} + 248 T^{3} + 961 T^{4} )^{4} $)
$37$	($ 1 - 2 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 - 10 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 - 10 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 10 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 - 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 + 10 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ 1 + 2 T + 37 T^{2} $)($ ( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} )^{2} $)($ ( 1 - 4 T + 46 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} $)($ ( 1 - 4 T + 46 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} $)($ ( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} )^{2} $)($ 1 - 58 T^{2} + 1369 T^{4} $)($ ( 1 - 2 T + 37 T^{2} )( 1 + 2 T + 37 T^{2} ) $)($ ( 1 - 37 T^{2} )^{2} $)($ ( 1 - 2 T + 37 T^{2} )( 1 + 2 T + 37 T^{2} ) $)($ ( 1 - 2 T + 37 T^{2} )( 1 + 2 T + 37 T^{2} ) $)($ 1 - 58 T^{2} + 1369 T^{4} $)($ ( 1 - 37 T^{2} )^{4} $)($ ( 1 - 37 T^{2} )^{4} $)($ ( 1 - 10 T^{2} + 1369 T^{4} )^{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 - 10 T^{2} + 1369 T^{4} )^{2} $)($ ( 1 - 10 T + 37 T^{2} )^{2} $)($ ( 1 + 10 T + 37 T^{2} )^{2} $)($ ( 1 - 10 T + 37 T^{2} )^{2} $)($ ( 1 + 10 T + 37 T^{2} )^{2} $)($ ( 1 + 10 T + 117 T^{2} + 684 T^{3} + 4914 T^{4} + 23580 T^{5} + 181818 T^{6} + 936396 T^{7} + 5926401 T^{8} + 18741610 T^{9} + 69343957 T^{10} )^{2} $)($ ( 1 - 10 T + 117 T^{2} - 684 T^{3} + 4914 T^{4} - 23580 T^{5} + 181818 T^{6} - 936396 T^{7} + 5926401 T^{8} - 18741610 T^{9} + 69343957 T^{10} )^{2} $)($ ( 1 - 10 T + 117 T^{2} - 684 T^{3} + 4914 T^{4} - 23580 T^{5} + 181818 T^{6} - 936396 T^{7} + 5926401 T^{8} - 18741610 T^{9} + 69343957 T^{10} )^{2} $)($ ( 1 + 10 T + 117 T^{2} + 684 T^{3} + 4914 T^{4} + 23580 T^{5} + 181818 T^{6} + 936396 T^{7} + 5926401 T^{8} + 18741610 T^{9} + 69343957 T^{10} )^{2} $)($ ( 1 + 162 T^{2} + 68 T^{3} + 12531 T^{4} + 5820 T^{5} + 584916 T^{6} + 215340 T^{7} + 17154939 T^{8} + 3444404 T^{9} + 303614082 T^{10} + 2565726409 T^{12} )^{2} $)($ ( 1 + 162 T^{2} - 68 T^{3} + 12531 T^{4} - 5820 T^{5} + 584916 T^{6} - 215340 T^{7} + 17154939 T^{8} - 3444404 T^{9} + 303614082 T^{10} + 2565726409 T^{12} )^{2} $)($ ( 1 + 162 T^{2} + 68 T^{3} + 12531 T^{4} + 5820 T^{5} + 584916 T^{6} + 215340 T^{7} + 17154939 T^{8} + 3444404 T^{9} + 303614082 T^{10} + 2565726409 T^{12} )^{2} $)($ ( 1 + 162 T^{2} - 68 T^{3} + 12531 T^{4} - 5820 T^{5} + 584916 T^{6} - 215340 T^{7} + 17154939 T^{8} - 3444404 T^{9} + 303614082 T^{10} + 2565726409 T^{12} )^{2} $)($ 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} $)($ 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} $)($ 1 - 16 T + 128 T^{2} - 1008 T^{3} + 5948 T^{4} - 15248 T^{5} - 9344 T^{6} + 717840 T^{7} - 7530650 T^{8} + 26560080 T^{9} - 12791936 T^{10} - 772356944 T^{11} + 11147509628 T^{12} - 69898708656 T^{13} + 328412980352 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} $)($ ( 1 + 8 T + 32 T^{2} + 248 T^{3} + 1886 T^{4} + 9176 T^{5} + 43808 T^{6} + 405224 T^{7} + 1874161 T^{8} )^{2} $)($ ( 1 + 8 T + 32 T^{2} + 248 T^{3} + 1886 T^{4} + 9176 T^{5} + 43808 T^{6} + 405224 T^{7} + 1874161 T^{8} )^{2} $)($ 1 - 16 T + 128 T^{2} - 1008 T^{3} + 5948 T^{4} - 15248 T^{5} - 9344 T^{6} + 717840 T^{7} - 7530650 T^{8} + 26560080 T^{9} - 12791936 T^{10} - 772356944 T^{11} + 11147509628 T^{12} - 69898708656 T^{13} + 328412980352 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} $)($ ( 1 + 512 T^{3} + 700 T^{4} - 9728 T^{5} + 131072 T^{6} + 437248 T^{7} - 3354522 T^{8} + 16178176 T^{9} + 179437568 T^{10} - 492752384 T^{11} + 1311912700 T^{12} + 35504105984 T^{13} + 3512479453921 T^{16} )^{2} $)($ ( 1 + 512 T^{3} + 700 T^{4} - 9728 T^{5} + 131072 T^{6} + 437248 T^{7} - 3354522 T^{8} + 16178176 T^{9} + 179437568 T^{10} - 492752384 T^{11} + 1311912700 T^{12} + 35504105984 T^{13} + 3512479453921 T^{16} )^{2} $)($ ( 1 - 50 T^{2} + 1369 T^{4} )^{2} $)($ ( 1 - 50 T^{2} + 1369 T^{4} )^{2} $)($ ( 1 - 37 T^{2} )^{8} $)($ ( 1 - 112 T^{2} + 5778 T^{4} - 153328 T^{6} + 1874161 T^{8} )^{4} $)($ ( 1 - 20 T^{2} + 1369 T^{4} )^{8} $)($ ( 1 - 37 T^{2} )^{4} $)($ ( 1 - 10 T^{2} + 1369 T^{4} )^{2} $)($ ( 1 - 10 T^{2} + 1369 T^{4} )^{2} $)($ ( 1 - 37 T^{2} )^{4} $)($ ( 1 - 4 T^{2} + 42 T^{4} - 5476 T^{6} + 1874161 T^{8} )^{4} $)($ ( 1 - 64 T^{2} + 2898 T^{4} - 87616 T^{6} + 1874161 T^{8} )^{4} $)($ 1 - 4 T + 6 T^{2} - 4 T^{3} + 2 T^{4} - 148 T^{5} + 8214 T^{6} - 202612 T^{7} + 1874161 T^{8} $)($ 1 + 8 T - 44 T^{2} - 760 T^{3} - 1272 T^{4} + 22872 T^{5} + 112156 T^{6} - 219496 T^{7} - 4000082 T^{8} - 8121352 T^{9} + 153541564 T^{10} + 1158535416 T^{11} - 2383932792 T^{12} - 52701407320 T^{13} - 112891961996 T^{14} + 759455017064 T^{15} + 3512479453921 T^{16} $)
$41$	($ 1 + 6 T + 41 T^{2} $)($ 1 + 6 T + 41 T^{2} $)($ 1 - 6 T + 41 T^{2} $)($ 1 - 12 T + 41 T^{2} $)($ 1 + 12 T + 41 T^{2} $)($ 1 - 12 T + 41 T^{2} $)($ 1 + 12 T + 41 T^{2} $)($ 1 - 6 T + 41 T^{2} $)($ 1 - 2 T + 41 T^{2} $)($ 1 - 2 T + 41 T^{2} $)($ 1 - 2 T + 41 T^{2} $)($ 1 - 2 T + 41 T^{2} $)($ 1 - 6 T + 41 T^{2} $)($ 1 + 12 T + 41 T^{2} $)($ 1 - 12 T + 41 T^{2} $)($ 1 + 12 T + 41 T^{2} $)($ 1 - 12 T + 41 T^{2} $)($ 1 - 6 T + 41 T^{2} $)($ 1 + 6 T + 41 T^{2} $)($ 1 + 6 T + 41 T^{2} $)($ 1 - 128 T^{2} + 7330 T^{4} - 215168 T^{6} + 2825761 T^{8} $)($ 1 - 128 T^{2} + 7330 T^{4} - 215168 T^{6} + 2825761 T^{8} $)($ 1 - 128 T^{2} + 7330 T^{4} - 215168 T^{6} + 2825761 T^{8} $)($ 1 - 128 T^{2} + 7330 T^{4} - 215168 T^{6} + 2825761 T^{8} $)($ ( 1 - 6 T + 41 T^{2} )^{2} $)($ ( 1 + 8 T + 41 T^{2} )^{2} $)($ ( 1 - 6 T + 41 T^{2} )^{2} $)($ ( 1 + 10 T + 41 T^{2} )^{2} $)($ ( 1 - 8 T + 41 T^{2} )^{2} $)($ ( 1 - 6 T + 41 T^{2} )^{2} $)($ ( 1 + 41 T^{2} )^{4} $)($ ( 1 + 10 T + 41 T^{2} )^{4} $)($ ( 1 - 64 T^{2} + 1681 T^{4} )^{2} $)($ ( 1 + 80 T^{2} + 1681 T^{4} )^{2} $)($ ( 1 - 80 T^{2} + 1681 T^{4} )^{2} $)($ ( 1 - 64 T^{2} + 1681 T^{4} )^{2} $)($ 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} $)($ 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} $)($ 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} $)($ 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} $)($ 1 + 5 T - 34 T^{2} - 229 T^{3} - 1526 T^{4} + 1039 T^{5} + 40920 T^{6} - 494097 T^{7} - 845715 T^{8} + 22003682 T^{9} + 126104644 T^{10} + 902150962 T^{11} - 1421646915 T^{12} - 34053659337 T^{13} + 115630140120 T^{14} + 120374592839 T^{15} - 7248659071766 T^{16} - 44598728718749 T^{17} - 271487457790114 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} $)($ 1 + 5 T - 34 T^{2} - 229 T^{3} - 1526 T^{4} + 1039 T^{5} + 40920 T^{6} - 494097 T^{7} - 845715 T^{8} + 22003682 T^{9} + 126104644 T^{10} + 902150962 T^{11} - 1421646915 T^{12} - 34053659337 T^{13} + 115630140120 T^{14} + 120374592839 T^{15} - 7248659071766 T^{16} - 44598728718749 T^{17} - 271487457790114 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} $)($ 1 + 5 T - 34 T^{2} - 229 T^{3} - 1526 T^{4} + 1039 T^{5} + 40920 T^{6} - 494097 T^{7} - 845715 T^{8} + 22003682 T^{9} + 126104644 T^{10} + 902150962 T^{11} - 1421646915 T^{12} - 34053659337 T^{13} + 115630140120 T^{14} + 120374592839 T^{15} - 7248659071766 T^{16} - 44598728718749 T^{17} - 271487457790114 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} $)($ 1 + 5 T - 34 T^{2} - 229 T^{3} - 1526 T^{4} + 1039 T^{5} + 40920 T^{6} - 494097 T^{7} - 845715 T^{8} + 22003682 T^{9} + 126104644 T^{10} + 902150962 T^{11} - 1421646915 T^{12} - 34053659337 T^{13} + 115630140120 T^{14} + 120374592839 T^{15} - 7248659071766 T^{16} - 44598728718749 T^{17} - 271487457790114 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} $)($ 1 + 2 T - 161 T^{2} + 38 T^{3} + 14483 T^{4} - 23188 T^{5} - 832960 T^{6} + 2293860 T^{7} + 34705461 T^{8} - 105740430 T^{9} - 1089960255 T^{10} + 2027388630 T^{11} + 37240793262 T^{12} + 83122933830 T^{13} - 1832223188655 T^{14} - 7287736176030 T^{15} + 98069338180821 T^{16} + 265757905225860 T^{17} - 3956646828583360 T^{18} - 4515962102752628 T^{19} + 115645672093359443 T^{20} + 12440513506970518 T^{21} - 2161048148934536561 T^{22} + 1100658063432496882 T^{23} + 22563490300366186081 T^{24} $)($ 1 + 2 T - 161 T^{2} + 38 T^{3} + 14483 T^{4} - 23188 T^{5} - 832960 T^{6} + 2293860 T^{7} + 34705461 T^{8} - 105740430 T^{9} - 1089960255 T^{10} + 2027388630 T^{11} + 37240793262 T^{12} + 83122933830 T^{13} - 1832223188655 T^{14} - 7287736176030 T^{15} + 98069338180821 T^{16} + 265757905225860 T^{17} - 3956646828583360 T^{18} - 4515962102752628 T^{19} + 115645672093359443 T^{20} + 12440513506970518 T^{21} - 2161048148934536561 T^{22} + 1100658063432496882 T^{23} + 22563490300366186081 T^{24} $)($ 1 + 2 T - 161 T^{2} + 38 T^{3} + 14483 T^{4} - 23188 T^{5} - 832960 T^{6} + 2293860 T^{7} + 34705461 T^{8} - 105740430 T^{9} - 1089960255 T^{10} + 2027388630 T^{11} + 37240793262 T^{12} + 83122933830 T^{13} - 1832223188655 T^{14} - 7287736176030 T^{15} + 98069338180821 T^{16} + 265757905225860 T^{17} - 3956646828583360 T^{18} - 4515962102752628 T^{19} + 115645672093359443 T^{20} + 12440513506970518 T^{21} - 2161048148934536561 T^{22} + 1100658063432496882 T^{23} + 22563490300366186081 T^{24} $)($ 1 + 2 T - 161 T^{2} + 38 T^{3} + 14483 T^{4} - 23188 T^{5} - 832960 T^{6} + 2293860 T^{7} + 34705461 T^{8} - 105740430 T^{9} - 1089960255 T^{10} + 2027388630 T^{11} + 37240793262 T^{12} + 83122933830 T^{13} - 1832223188655 T^{14} - 7287736176030 T^{15} + 98069338180821 T^{16} + 265757905225860 T^{17} - 3956646828583360 T^{18} - 4515962102752628 T^{19} + 115645672093359443 T^{20} + 12440513506970518 T^{21} - 2161048148934536561 T^{22} + 1100658063432496882 T^{23} + 22563490300366186081 T^{24} $)($ ( 1 - 41 T^{2} )^{2} $)($ ( 1 - 41 T^{2} )^{2} $)($ 1 - 200 T^{2} + 19452 T^{4} - 1244536 T^{6} + 58583750 T^{8} - 2092065016 T^{10} + 54966702972 T^{12} - 950020848200 T^{14} + 7984925229121 T^{16} $)($ ( 1 - 60 T^{2} + 4150 T^{4} - 100860 T^{6} + 2825761 T^{8} )^{2} $)($ ( 1 - 60 T^{2} + 4150 T^{4} - 100860 T^{6} + 2825761 T^{8} )^{2} $)($ 1 - 200 T^{2} + 19452 T^{4} - 1244536 T^{6} + 58583750 T^{8} - 2092065016 T^{10} + 54966702972 T^{12} - 950020848200 T^{14} + 7984925229121 T^{16} $)($ ( 1 + 160 T^{2} + 12772 T^{4} + 745952 T^{6} + 34631942 T^{8} + 1253945312 T^{10} + 36090619492 T^{12} + 760016678560 T^{14} + 7984925229121 T^{16} )^{2} $)($ ( 1 + 160 T^{2} + 12772 T^{4} + 745952 T^{6} + 34631942 T^{8} + 1253945312 T^{10} + 36090619492 T^{12} + 760016678560 T^{14} + 7984925229121 T^{16} )^{2} $)($ ( 1 - 9 T + 68 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} $)($ ( 1 - 9 T + 68 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} $)($ ( 1 - 6 T + 41 T^{2} )^{4}( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} )^{2} $)($ ( 1 + 6 T + 47 T^{2} + 210 T^{3} + 36 T^{4} + 8610 T^{5} + 79007 T^{6} + 413526 T^{7} + 2825761 T^{8} )^{4} $)($ ( 1 + 18 T + 199 T^{2} + 1638 T^{3} + 11028 T^{4} + 67158 T^{5} + 334519 T^{6} + 1240578 T^{7} + 2825761 T^{8} )^{4} $)($ ( 1 + 6 T + 41 T^{2} )^{2}( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} ) $)($ ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} $)($ ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} $)($ ( 1 + 6 T + 41 T^{2} )^{2}( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} ) $)($ ( 1 - 12 T + 29 T^{2} - 396 T^{3} + 5640 T^{4} - 16236 T^{5} + 48749 T^{6} - 827052 T^{7} + 2825761 T^{8} )^{4} $)($ ( 1 + 2 T - 25 T^{2} - 106 T^{3} - 1004 T^{4} - 4346 T^{5} - 42025 T^{6} + 137842 T^{7} + 2825761 T^{8} )^{4} $)($ 1 - 12 T + 72 T^{2} - 516 T^{3} + 3694 T^{4} - 21156 T^{5} + 121032 T^{6} - 827052 T^{7} + 2825761 T^{8} $)($ 1 + 8 T + 32 T^{2} + 88 T^{3} + 1788 T^{4} + 23048 T^{5} + 131040 T^{6} + 748824 T^{7} + 3829318 T^{8} + 30701784 T^{9} + 220278240 T^{10} + 1588491208 T^{11} + 5052460668 T^{12} + 10195345688 T^{13} + 152003335712 T^{14} + 1558034191048 T^{15} + 7984925229121 T^{16} $)
$43$	($ 1 + 43 T^{2} $)($ 1 + 43 T^{2} $)($ 1 - 6 T + 43 T^{2} $)($ 1 - 12 T + 43 T^{2} $)($ 1 + 12 T + 43 T^{2} $)($ 1 + 12 T + 43 T^{2} $)($ 1 - 12 T + 43 T^{2} $)($ 1 + 6 T + 43 T^{2} $)($ 1 + 8 T + 43 T^{2} $)($ 1 - 8 T + 43 T^{2} $)($ 1 + 8 T + 43 T^{2} $)($ 1 - 8 T + 43 T^{2} $)($ 1 + 6 T + 43 T^{2} $)($ 1 - 12 T + 43 T^{2} $)($ 1 + 12 T + 43 T^{2} $)($ 1 + 12 T + 43 T^{2} $)($ 1 - 12 T + 43 T^{2} $)($ 1 - 6 T + 43 T^{2} $)($ 1 + 43 T^{2} $)($ 1 + 43 T^{2} $)($ 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} $)($ 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} $)($ 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} $)($ 1 - 76 T^{2} + 3094 T^{4} - 140524 T^{6} + 3418801 T^{8} $)($ 1 - 70 T^{2} + 1849 T^{4} $)($ ( 1 - 43 T^{2} )^{2} $)($ ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) $)($ ( 1 - 43 T^{2} )^{2} $)($ ( 1 - 43 T^{2} )^{2} $)($ 1 - 70 T^{2} + 1849 T^{4} $)($ ( 1 - 43 T^{2} )^{4} $)($ ( 1 + 58 T^{2} + 1849 T^{4} )^{2} $)($ ( 1 - 42 T^{2} + 1849 T^{4} )^{2} $)($ ( 1 + 43 T^{2} )^{4} $)($ ( 1 + 43 T^{2} )^{4} $)($ ( 1 - 42 T^{2} + 1849 T^{4} )^{2} $)($ 1 - 9 T + 38 T^{2} - 387 T^{3} + 1849 T^{4} $)($ 1 - 9 T + 38 T^{2} - 387 T^{3} + 1849 T^{4} $)($ 1 + 9 T + 38 T^{2} + 387 T^{3} + 1849 T^{4} $)($ 1 + 9 T + 38 T^{2} + 387 T^{3} + 1849 T^{4} $)($ 1 - 13 T + 4 T^{2} + 239 T^{3} + 2470 T^{4} - 11233 T^{5} - 29328 T^{6} - 171807 T^{7} - 1680075 T^{8} - 8058734 T^{9} + 347494688 T^{10} - 346525562 T^{11} - 3106458675 T^{12} - 13659859149 T^{13} - 100266595728 T^{14} - 1651345840219 T^{15} + 15613766731030 T^{16} + 64964648054573 T^{17} + 46752801110404 T^{18} - 6533703955178959 T^{19} + 21611482313284249 T^{20} $)($ 1 - 13 T + 4 T^{2} + 239 T^{3} + 2470 T^{4} - 11233 T^{5} - 29328 T^{6} - 171807 T^{7} - 1680075 T^{8} - 8058734 T^{9} + 347494688 T^{10} - 346525562 T^{11} - 3106458675 T^{12} - 13659859149 T^{13} - 100266595728 T^{14} - 1651345840219 T^{15} + 15613766731030 T^{16} + 64964648054573 T^{17} + 46752801110404 T^{18} - 6533703955178959 T^{19} + 21611482313284249 T^{20} $)($ 1 + 13 T + 4 T^{2} - 239 T^{3} + 2470 T^{4} + 11233 T^{5} - 29328 T^{6} + 171807 T^{7} - 1680075 T^{8} + 8058734 T^{9} + 347494688 T^{10} + 346525562 T^{11} - 3106458675 T^{12} + 13659859149 T^{13} - 100266595728 T^{14} + 1651345840219 T^{15} + 15613766731030 T^{16} - 64964648054573 T^{17} + 46752801110404 T^{18} + 6533703955178959 T^{19} + 21611482313284249 T^{20} $)($ 1 + 13 T + 4 T^{2} - 239 T^{3} + 2470 T^{4} + 11233 T^{5} - 29328 T^{6} + 171807 T^{7} - 1680075 T^{8} + 8058734 T^{9} + 347494688 T^{10} + 346525562 T^{11} - 3106458675 T^{12} + 13659859149 T^{13} - 100266595728 T^{14} + 1651345840219 T^{15} + 15613766731030 T^{16} - 64964648054573 T^{17} + 46752801110404 T^{18} + 6533703955178959 T^{19} + 21611482313284249 T^{20} $)($ 1 - 2 T - 155 T^{2} + 50 T^{3} + 11803 T^{4} + 11110 T^{5} - 685952 T^{6} - 480720 T^{7} + 37074837 T^{8} - 4517562 T^{9} - 1917932577 T^{10} + 322637328 T^{11} + 89159638086 T^{12} + 13873405104 T^{13} - 3546257334873 T^{14} - 359177801934 T^{15} + 126751489810437 T^{16} - 70669898718960 T^{17} - 4336151626187648 T^{18} + 3019904769398770 T^{19} + 137955827876524603 T^{20} + 25129630596842150 T^{21} - 3349779758559058595 T^{22} - 1858587478942445414 T^{23} + 39959630797262576401 T^{24} $)($ 1 - 2 T - 155 T^{2} + 50 T^{3} + 11803 T^{4} + 11110 T^{5} - 685952 T^{6} - 480720 T^{7} + 37074837 T^{8} - 4517562 T^{9} - 1917932577 T^{10} + 322637328 T^{11} + 89159638086 T^{12} + 13873405104 T^{13} - 3546257334873 T^{14} - 359177801934 T^{15} + 126751489810437 T^{16} - 70669898718960 T^{17} - 4336151626187648 T^{18} + 3019904769398770 T^{19} + 137955827876524603 T^{20} + 25129630596842150 T^{21} - 3349779758559058595 T^{22} - 1858587478942445414 T^{23} + 39959630797262576401 T^{24} $)($ 1 + 2 T - 155 T^{2} - 50 T^{3} + 11803 T^{4} - 11110 T^{5} - 685952 T^{6} + 480720 T^{7} + 37074837 T^{8} + 4517562 T^{9} - 1917932577 T^{10} - 322637328 T^{11} + 89159638086 T^{12} - 13873405104 T^{13} - 3546257334873 T^{14} + 359177801934 T^{15} + 126751489810437 T^{16} + 70669898718960 T^{17} - 4336151626187648 T^{18} - 3019904769398770 T^{19} + 137955827876524603 T^{20} - 25129630596842150 T^{21} - 3349779758559058595 T^{22} + 1858587478942445414 T^{23} + 39959630797262576401 T^{24} $)($ 1 + 2 T - 155 T^{2} - 50 T^{3} + 11803 T^{4} - 11110 T^{5} - 685952 T^{6} + 480720 T^{7} + 37074837 T^{8} + 4517562 T^{9} - 1917932577 T^{10} - 322637328 T^{11} + 89159638086 T^{12} - 13873405104 T^{13} - 3546257334873 T^{14} + 359177801934 T^{15} + 126751489810437 T^{16} + 70669898718960 T^{17} - 4336151626187648 T^{18} - 3019904769398770 T^{19} + 137955827876524603 T^{20} - 25129630596842150 T^{21} - 3349779758559058595 T^{22} + 1858587478942445414 T^{23} + 39959630797262576401 T^{24} $)($ 1 - 10 T + 50 T^{2} - 430 T^{3} + 1849 T^{4} $)($ 1 + 10 T + 50 T^{2} + 430 T^{3} + 1849 T^{4} $)($ 1 - 8 T + 32 T^{2} - 56 T^{3} + 260 T^{4} - 504 T^{5} - 2720 T^{6} + 625528 T^{7} - 7635866 T^{8} + 26897704 T^{9} - 5029280 T^{10} - 40071528 T^{11} + 888888260 T^{12} - 8232472808 T^{13} + 202283617568 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} $)($ ( 1 + 12 T + 72 T^{2} + 564 T^{3} + 4402 T^{4} + 24252 T^{5} + 133128 T^{6} + 954084 T^{7} + 3418801 T^{8} )^{2} $)($ ( 1 - 12 T + 72 T^{2} - 564 T^{3} + 4402 T^{4} - 24252 T^{5} + 133128 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{2} $)($ 1 + 8 T + 32 T^{2} + 56 T^{3} + 260 T^{4} + 504 T^{5} - 2720 T^{6} - 625528 T^{7} - 7635866 T^{8} - 26897704 T^{9} - 5029280 T^{10} + 40071528 T^{11} + 888888260 T^{12} + 8232472808 T^{13} + 202283617568 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} $)($ ( 1 - 16 T + 128 T^{2} - 1200 T^{3} + 6980 T^{4} + 80 T^{5} - 174720 T^{6} + 2568048 T^{7} - 25827098 T^{8} + 110426064 T^{9} - 323057280 T^{10} + 6360560 T^{11} + 23863230980 T^{12} - 176410131600 T^{13} + 809134470272 T^{14} - 4349097777712 T^{15} + 11688200277601 T^{16} )^{2} $)($ ( 1 + 16 T + 128 T^{2} + 1200 T^{3} + 6980 T^{4} - 80 T^{5} - 174720 T^{6} - 2568048 T^{7} - 25827098 T^{8} - 110426064 T^{9} - 323057280 T^{10} - 6360560 T^{11} + 23863230980 T^{12} + 176410131600 T^{13} + 809134470272 T^{14} + 4349097777712 T^{15} + 11688200277601 T^{16} )^{2} $)($ ( 1 + 9 T + 38 T^{2} + 387 T^{3} + 1849 T^{4} )^{2} $)($ ( 1 - 9 T + 38 T^{2} - 387 T^{3} + 1849 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 1849 T^{4} )^{2}( 1 - 14 T^{2} - 1653 T^{4} - 25886 T^{6} + 3418801 T^{8} ) $)($ ( 1 - 106 T^{2} + 4735 T^{4} - 297118 T^{6} + 18068836 T^{8} - 549371182 T^{10} + 16188022735 T^{12} - 670064483194 T^{14} + 11688200277601 T^{16} )^{2} $)($ ( 1 - 118 T^{2} + 7231 T^{4} - 353410 T^{6} + 15631972 T^{8} - 653455090 T^{10} + 24721350031 T^{12} - 745920839782 T^{14} + 11688200277601 T^{16} )^{2} $)($ ( 1 + 10 T + 43 T^{2} )^{2}( 1 + 10 T + 57 T^{2} + 430 T^{3} + 1849 T^{4} ) $)($ 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} $)($ 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} $)($ ( 1 - 10 T + 43 T^{2} )^{2}( 1 - 10 T + 57 T^{2} - 430 T^{3} + 1849 T^{4} ) $)($ ( 1 + 88 T^{2} + 2785 T^{4} + 110968 T^{6} + 6854224 T^{8} + 205179832 T^{10} + 9521360785 T^{12} + 556279948312 T^{14} + 11688200277601 T^{16} )^{2} $)($ ( 1 - 26 T^{2} - 3137 T^{4} - 2990 T^{6} + 9870244 T^{8} - 5528510 T^{10} - 10724778737 T^{12} - 164355439274 T^{14} + 11688200277601 T^{16} )^{2} $)($ 1 + 16 T + 162 T^{2} + 1384 T^{3} + 10178 T^{4} + 59512 T^{5} + 299538 T^{6} + 1272112 T^{7} + 3418801 T^{8} $)($ 1 - 12 T + 56 T^{2} + 604 T^{3} - 8560 T^{4} + 59644 T^{5} - 32984 T^{6} - 2234540 T^{7} + 25213774 T^{8} - 96085220 T^{9} - 60987416 T^{10} + 4742115508 T^{11} - 29264936560 T^{12} + 88793099572 T^{13} + 353996330744 T^{14} - 3261823333284 T^{15} + 11688200277601 T^{16} $)
$47$	($ 1 - 4 T + 47 T^{2} $)($ 1 + 4 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 + 12 T + 47 T^{2} $)($ 1 + 12 T + 47 T^{2} $)($ 1 - 12 T + 47 T^{2} $)($ 1 - 12 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 - 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 + 8 T + 47 T^{2} $)($ 1 - 4 T + 47 T^{2} $)($ 1 + 4 T + 47 T^{2} $)($ ( 1 + 8 T + 38 T^{2} + 376 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 + 8 T + 38 T^{2} + 376 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 - 8 T + 38 T^{2} - 376 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 - 8 T + 38 T^{2} - 376 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 + 8 T + 47 T^{2} )^{2} $)($ ( 1 + 47 T^{2} )^{2} $)($ ( 1 + 47 T^{2} )^{2} $)($ ( 1 + 47 T^{2} )^{2} $)($ ( 1 + 47 T^{2} )^{2} $)($ ( 1 - 8 T + 47 T^{2} )^{2} $)($ ( 1 + 47 T^{2} )^{4} $)($ ( 1 + 62 T^{2} + 2209 T^{4} )^{2} $)($ ( 1 + 12 T + 47 T^{2} )^{4} $)($ ( 1 + 47 T^{2} )^{4} $)($ ( 1 + 47 T^{2} )^{4} $)($ ( 1 - 12 T + 47 T^{2} )^{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 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} $)($ 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} $)($ 1 + 6 T - 115 T^{2} - 1102 T^{3} + 4464 T^{4} + 68224 T^{5} - 80081 T^{6} - 1389198 T^{7} + 10527863 T^{8} + 1010702 T^{9} - 878583588 T^{10} + 47502994 T^{11} + 23256049367 T^{12} - 144230703954 T^{13} - 390769734161 T^{14} + 15646833757568 T^{15} + 48118417228656 T^{16} - 558298678750226 T^{17} - 2738297966102515 T^{18} + 6714782838616602 T^{19} + 52599132235830049 T^{20} $)($ 1 - 6 T - 115 T^{2} + 1102 T^{3} + 4464 T^{4} - 68224 T^{5} - 80081 T^{6} + 1389198 T^{7} + 10527863 T^{8} - 1010702 T^{9} - 878583588 T^{10} - 47502994 T^{11} + 23256049367 T^{12} + 144230703954 T^{13} - 390769734161 T^{14} - 15646833757568 T^{15} + 48118417228656 T^{16} + 558298678750226 T^{17} - 2738297966102515 T^{18} - 6714782838616602 T^{19} + 52599132235830049 T^{20} $)($ 1 + 6 T - 115 T^{2} - 1102 T^{3} + 4464 T^{4} + 68224 T^{5} - 80081 T^{6} - 1389198 T^{7} + 10527863 T^{8} + 1010702 T^{9} - 878583588 T^{10} + 47502994 T^{11} + 23256049367 T^{12} - 144230703954 T^{13} - 390769734161 T^{14} + 15646833757568 T^{15} + 48118417228656 T^{16} - 558298678750226 T^{17} - 2738297966102515 T^{18} + 6714782838616602 T^{19} + 52599132235830049 T^{20} $)($ 1 - 6 T - 115 T^{2} + 1102 T^{3} + 4464 T^{4} - 68224 T^{5} - 80081 T^{6} + 1389198 T^{7} + 10527863 T^{8} - 1010702 T^{9} - 878583588 T^{10} - 47502994 T^{11} + 23256049367 T^{12} + 144230703954 T^{13} - 390769734161 T^{14} - 15646833757568 T^{15} + 48118417228656 T^{16} + 558298678750226 T^{17} - 2738297966102515 T^{18} - 6714782838616602 T^{19} + 52599132235830049 T^{20} $)($ 1 - 14 T - 66 T^{2} + 1624 T^{3} + 2274 T^{4} - 94616 T^{5} - 180484 T^{6} + 3216588 T^{7} + 25557282 T^{8} - 52812440 T^{9} - 2374780958 T^{10} + 210204606 T^{11} + 138811342666 T^{12} + 9879616482 T^{13} - 5245891136222 T^{14} - 5483145958120 T^{15} + 124711383387042 T^{16} + 737708397376116 T^{17} - 1945475899439236 T^{18} - 47934653165727208 T^{19} + 54146865868844514 T^{20} + 1817467888318893608 T^{21} - 3471542727564783234 T^{22} - 34610229011176172242 T^{23} + $$11\!\cdots\!41$$ T^{24} $)($ 1 + 14 T - 66 T^{2} - 1624 T^{3} + 2274 T^{4} + 94616 T^{5} - 180484 T^{6} - 3216588 T^{7} + 25557282 T^{8} + 52812440 T^{9} - 2374780958 T^{10} - 210204606 T^{11} + 138811342666 T^{12} - 9879616482 T^{13} - 5245891136222 T^{14} + 5483145958120 T^{15} + 124711383387042 T^{16} - 737708397376116 T^{17} - 1945475899439236 T^{18} + 47934653165727208 T^{19} + 54146865868844514 T^{20} - 1817467888318893608 T^{21} - 3471542727564783234 T^{22} + 34610229011176172242 T^{23} + $$11\!\cdots\!41$$ T^{24} $)($ 1 + 14 T - 66 T^{2} - 1624 T^{3} + 2274 T^{4} + 94616 T^{5} - 180484 T^{6} - 3216588 T^{7} + 25557282 T^{8} + 52812440 T^{9} - 2374780958 T^{10} - 210204606 T^{11} + 138811342666 T^{12} - 9879616482 T^{13} - 5245891136222 T^{14} + 5483145958120 T^{15} + 124711383387042 T^{16} - 737708397376116 T^{17} - 1945475899439236 T^{18} + 47934653165727208 T^{19} + 54146865868844514 T^{20} - 1817467888318893608 T^{21} - 3471542727564783234 T^{22} + 34610229011176172242 T^{23} + $$11\!\cdots\!41$$ T^{24} $)($ 1 - 14 T - 66 T^{2} + 1624 T^{3} + 2274 T^{4} - 94616 T^{5} - 180484 T^{6} + 3216588 T^{7} + 25557282 T^{8} - 52812440 T^{9} - 2374780958 T^{10} + 210204606 T^{11} + 138811342666 T^{12} + 9879616482 T^{13} - 5245891136222 T^{14} - 5483145958120 T^{15} + 124711383387042 T^{16} + 737708397376116 T^{17} - 1945475899439236 T^{18} - 47934653165727208 T^{19} + 54146865868844514 T^{20} + 1817467888318893608 T^{21} - 3471542727564783234 T^{22} - 34610229011176172242 T^{23} + $$11\!\cdots\!41$$ T^{24} $)($ ( 1 - 8 T + 47 T^{2} )^{2} $)($ ( 1 + 8 T + 47 T^{2} )^{2} $)($ ( 1 + 86 T^{2} + 2209 T^{4} )^{4} $)($ ( 1 - 20 T^{2} + 4070 T^{4} - 44180 T^{6} + 4879681 T^{8} )^{2} $)($ ( 1 - 20 T^{2} + 4070 T^{4} - 44180 T^{6} + 4879681 T^{8} )^{2} $)($ ( 1 + 86 T^{2} + 2209 T^{4} )^{4} $)($ ( 1 + 216 T^{2} + 24572 T^{4} + 1856872 T^{6} + 101744902 T^{8} + 4101830248 T^{10} + 119903521532 T^{12} + 2328310511064 T^{14} + 23811286661761 T^{16} )^{2} $)($ ( 1 + 216 T^{2} + 24572 T^{4} + 1856872 T^{6} + 101744902 T^{8} + 4101830248 T^{10} + 119903521532 T^{12} + 2328310511064 T^{14} + 23811286661761 T^{16} )^{2} $)($ 1 - 22 T^{2} - 1725 T^{4} - 48598 T^{6} + 4879681 T^{8} $)($ 1 - 22 T^{2} - 1725 T^{4} - 48598 T^{6} + 4879681 T^{8} $)($ ( 1 - 47 T^{2} + 2209 T^{4} )^{4} $)($ ( 1 - 98 T^{2} + 3271 T^{4} - 187670 T^{6} + 14011972 T^{8} - 414563030 T^{10} + 15961436551 T^{12} - 1056363102242 T^{14} + 23811286661761 T^{16} )^{2} $)($ ( 1 + 10 T^{2} - 4289 T^{4} - 290 T^{6} + 14162740 T^{8} - 640610 T^{10} - 20928951809 T^{12} + 107792153290 T^{14} + 23811286661761 T^{16} )^{2} $)($ ( 1 - 47 T^{2} + 2209 T^{4} )^{2} $)($ ( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} )^{2} $)($ ( 1 - 47 T^{2} + 2209 T^{4} )^{2} $)($ ( 1 - 44 T^{2} + 1597 T^{4} + 179476 T^{6} - 9041384 T^{8} + 396462484 T^{10} + 7792850557 T^{12} - 474285474476 T^{14} + 23811286661761 T^{16} )^{2} $)($ ( 1 - 170 T^{2} + 17311 T^{4} - 1219070 T^{6} + 65585140 T^{8} - 2692925630 T^{10} + 84472157791 T^{12} - 1832466605930 T^{14} + 23811286661761 T^{16} )^{2} $)($ 1 - 52 T^{2} + 486 T^{4} - 114868 T^{6} + 4879681 T^{8} $)($ 1 - 312 T^{2} + 44348 T^{4} - 3794696 T^{6} + 215798406 T^{8} - 8382483464 T^{10} + 216404092988 T^{12} - 3363115182648 T^{14} + 23811286661761 T^{16} $)
$53$	($ 1 + 53 T^{2} $)($ 1 + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 - 12 T + 53 T^{2} $)($ 1 + 12 T + 53 T^{2} $)($ 1 + 12 T + 53 T^{2} $)($ 1 - 12 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 - 6 T + 53 T^{2} $)($ 1 + 6 T + 53 T^{2} $)($ 1 + 53 T^{2} $)($ 1 + 53 T^{2} $)($ 1 - 104 T^{2} + 7522 T^{4} - 292136 T^{6} + 7890481 T^{8} $)($ 1 - 104 T^{2} + 7522 T^{4} - 292136 T^{6} + 7890481 T^{8} $)($ 1 - 104 T^{2} + 7522 T^{4} - 292136 T^{6} + 7890481 T^{8} $)($ 1 - 104 T^{2} + 7522 T^{4} - 292136 T^{6} + 7890481 T^{8} $)($ 1 - 42 T^{2} + 2809 T^{4} $)($ ( 1 - 4 T + 53 T^{2} )( 1 + 4 T + 53 T^{2} ) $)($ ( 1 - 53 T^{2} )^{2} $)($ ( 1 - 14 T + 53 T^{2} )( 1 + 14 T + 53 T^{2} ) $)($ ( 1 - 4 T + 53 T^{2} )( 1 + 4 T + 53 T^{2} ) $)($ 1 - 42 T^{2} + 2809 T^{4} $)($ ( 1 - 94 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 98 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 56 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 + 56 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 56 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 56 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 12 T + 53 T^{2} )^{2} $)($ ( 1 + 12 T + 53 T^{2} )^{2} $)($ ( 1 - 12 T + 53 T^{2} )^{2} $)($ ( 1 + 12 T + 53 T^{2} )^{2} $)($ ( 1 + 121 T^{2} - 132 T^{3} + 9910 T^{4} - 4344 T^{5} + 525230 T^{6} - 370788 T^{7} + 18014117 T^{8} + 418195493 T^{10} )^{2} $)($ ( 1 + 121 T^{2} + 132 T^{3} + 9910 T^{4} + 4344 T^{5} + 525230 T^{6} + 370788 T^{7} + 18014117 T^{8} + 418195493 T^{10} )^{2} $)($ ( 1 + 121 T^{2} + 132 T^{3} + 9910 T^{4} + 4344 T^{5} + 525230 T^{6} + 370788 T^{7} + 18014117 T^{8} + 418195493 T^{10} )^{2} $)($ ( 1 + 121 T^{2} - 132 T^{3} + 9910 T^{4} - 4344 T^{5} + 525230 T^{6} - 370788 T^{7} + 18014117 T^{8} + 418195493 T^{10} )^{2} $)($ ( 1 - 12 T + 294 T^{2} - 2664 T^{3} + 36195 T^{4} - 256476 T^{5} + 2484460 T^{6} - 13593228 T^{7} + 101671755 T^{8} - 396608328 T^{9} + 2319801414 T^{10} - 5018345916 T^{11} + 22164361129 T^{12} )^{2} $)($ ( 1 + 12 T + 294 T^{2} + 2664 T^{3} + 36195 T^{4} + 256476 T^{5} + 2484460 T^{6} + 13593228 T^{7} + 101671755 T^{8} + 396608328 T^{9} + 2319801414 T^{10} + 5018345916 T^{11} + 22164361129 T^{12} )^{2} $)($ ( 1 - 12 T + 294 T^{2} - 2664 T^{3} + 36195 T^{4} - 256476 T^{5} + 2484460 T^{6} - 13593228 T^{7} + 101671755 T^{8} - 396608328 T^{9} + 2319801414 T^{10} - 5018345916 T^{11} + 22164361129 T^{12} )^{2} $)($ ( 1 + 12 T + 294 T^{2} + 2664 T^{3} + 36195 T^{4} + 256476 T^{5} + 2484460 T^{6} + 13593228 T^{7} + 101671755 T^{8} + 396608328 T^{9} + 2319801414 T^{10} + 5018345916 T^{11} + 22164361129 T^{12} )^{2} $)($ ( 1 - 4 T + 53 T^{2} )( 1 + 14 T + 53 T^{2} ) $)($ ( 1 - 4 T + 53 T^{2} )( 1 + 14 T + 53 T^{2} ) $)($ 1 - 16 T + 128 T^{2} - 928 T^{3} + 8564 T^{4} - 82496 T^{5} + 654336 T^{6} - 5021328 T^{7} + 38116486 T^{8} - 266130384 T^{9} + 1838029824 T^{10} - 12281756992 T^{11} + 67574079284 T^{12} - 388085417504 T^{13} + 2837038224512 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} $)($ 1 - 5772 T^{4} + 23807110 T^{8} - 45543856332 T^{12} + 62259690411361 T^{16} $)($ 1 - 5772 T^{4} + 23807110 T^{8} - 45543856332 T^{12} + 62259690411361 T^{16} $)($ 1 - 16 T + 128 T^{2} - 928 T^{3} + 8564 T^{4} - 82496 T^{5} + 654336 T^{6} - 5021328 T^{7} + 38116486 T^{8} - 266130384 T^{9} + 1838029824 T^{10} - 12281756992 T^{11} + 67574079284 T^{12} - 388085417504 T^{13} + 2837038224512 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} $)($ 1 + 2936 T^{4} + 12654300 T^{8} + 22427423688 T^{12} + 91065624180102 T^{16} + 176963160489113928 T^{20} + $$78\!\cdots\!00$$ T^{24} + $$14\!\cdots\!76$$ T^{28} + $$38\!\cdots\!21$$ T^{32} $)($ 1 + 2936 T^{4} + 12654300 T^{8} + 22427423688 T^{12} + 91065624180102 T^{16} + 176963160489113928 T^{20} + $$78\!\cdots\!00$$ T^{24} + $$14\!\cdots\!76$$ T^{28} + $$38\!\cdots\!21$$ T^{32} $)($ ( 1 + 74 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 + 74 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 + 53 T^{2} )^{8} $)($ ( 1 + 104 T^{2} + 7458 T^{4} + 292136 T^{6} + 7890481 T^{8} )^{4} $)($ ( 1 + 112 T^{2} + 8370 T^{4} + 314608 T^{6} + 7890481 T^{8} )^{4} $)($ ( 1 - 53 T^{2} )^{4} $)($ ( 1 - 42 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 42 T^{2} + 2809 T^{4} )^{2} $)($ ( 1 - 53 T^{2} )^{4} $)($ ( 1 - 164 T^{2} + 12042 T^{4} - 460676 T^{6} + 7890481 T^{8} )^{4} $)($ ( 1 - 72 T^{2} + 3458 T^{4} - 202248 T^{6} + 7890481 T^{8} )^{4} $)($ 1 + 4 T + 54 T^{2} + 708 T^{3} + 3490 T^{4} + 37524 T^{5} + 151686 T^{6} + 595508 T^{7} + 7890481 T^{8} $)($ 1 + 8 T + 100 T^{2} + 424 T^{3} + 3016 T^{4} + 19768 T^{5} + 118540 T^{6} + 2296472 T^{7} + 11779502 T^{8} + 121713016 T^{9} + 332978860 T^{10} + 2943000536 T^{11} + 23797690696 T^{12} + 177314889032 T^{13} + 2216436112900 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} $)
$59$	($ 1 - 4 T + 59 T^{2} $)($ 1 + 4 T + 59 T^{2} $)($ 1 + 14 T + 59 T^{2} $)($ 1 - 8 T + 59 T^{2} $)($ 1 - 8 T + 59 T^{2} $)($ 1 + 8 T + 59 T^{2} $)($ 1 + 8 T + 59 T^{2} $)($ 1 - 14 T + 59 T^{2} $)($ 1 + 4 T + 59 T^{2} $)($ 1 - 4 T + 59 T^{2} $)($ 1 + 4 T + 59 T^{2} $)($ 1 - 4 T + 59 T^{2} $)($ 1 - 14 T + 59 T^{2} $)($ 1 + 8 T + 59 T^{2} $)($ 1 + 8 T + 59 T^{2} $)($ 1 - 8 T + 59 T^{2} $)($ 1 - 8 T + 59 T^{2} $)($ 1 + 14 T + 59 T^{2} $)($ 1 + 4 T + 59 T^{2} $)($ 1 - 4 T + 59 T^{2} $)($ ( 1 + 16 T + 150 T^{2} + 944 T^{3} + 3481 T^{4} )^{2} $)($ ( 1 - 16 T + 150 T^{2} - 944 T^{3} + 3481 T^{4} )^{2} $)($ ( 1 + 16 T + 150 T^{2} + 944 T^{3} + 3481 T^{4} )^{2} $)($ ( 1 - 16 T + 150 T^{2} - 944 T^{3} + 3481 T^{4} )^{2} $)($ 1 + 26 T^{2} + 3481 T^{4} $)($ ( 1 - 59 T^{2} )^{2} $)($ ( 1 - 6 T + 59 T^{2} )( 1 + 6 T + 59 T^{2} ) $)($ ( 1 - 59 T^{2} )^{2} $)($ ( 1 - 59 T^{2} )^{2} $)($ 1 + 26 T^{2} + 3481 T^{4} $)($ ( 1 + 10 T^{2} + 3481 T^{4} )^{2} $)($ ( 1 - 102 T^{2} + 3481 T^{4} )^{2} $)($ ( 1 - 59 T^{2} )^{4} $)($ ( 1 - 59 T^{2} )^{4} $)($ ( 1 - 59 T^{2} )^{4} $)($ ( 1 - 59 T^{2} )^{4} $)($ 1 + 7 T - 10 T^{2} + 413 T^{3} + 3481 T^{4} $)($ 1 + 7 T - 10 T^{2} + 413 T^{3} + 3481 T^{4} $)($ 1 - 7 T - 10 T^{2} - 413 T^{3} + 3481 T^{4} $)($ 1 - 7 T - 10 T^{2} - 413 T^{3} + 3481 T^{4} $)($ 1 - 13 T + 8 T^{2} + 99 T^{3} - 1386 T^{4} + 71319 T^{5} - 553188 T^{6} + 1402305 T^{7} + 12050733 T^{8} - 238436626 T^{9} + 2061069616 T^{10} - 14067760934 T^{11} + 41948601573 T^{12} + 288003998595 T^{13} - 6703178696868 T^{14} + 50987686080381 T^{15} - 58462219626426 T^{16} + 246376496997081 T^{17} + 1174643500834568 T^{18} - 112618945642514207 T^{19} + 511116753300641401 T^{20} $)($ 1 - 13 T + 8 T^{2} + 99 T^{3} - 1386 T^{4} + 71319 T^{5} - 553188 T^{6} + 1402305 T^{7} + 12050733 T^{8} - 238436626 T^{9} + 2061069616 T^{10} - 14067760934 T^{11} + 41948601573 T^{12} + 288003998595 T^{13} - 6703178696868 T^{14} + 50987686080381 T^{15} - 58462219626426 T^{16} + 246376496997081 T^{17} + 1174643500834568 T^{18} - 112618945642514207 T^{19} + 511116753300641401 T^{20} $)($ 1 + 13 T + 8 T^{2} - 99 T^{3} - 1386 T^{4} - 71319 T^{5} - 553188 T^{6} - 1402305 T^{7} + 12050733 T^{8} + 238436626 T^{9} + 2061069616 T^{10} + 14067760934 T^{11} + 41948601573 T^{12} - 288003998595 T^{13} - 6703178696868 T^{14} - 50987686080381 T^{15} - 58462219626426 T^{16} - 246376496997081 T^{17} + 1174643500834568 T^{18} + 112618945642514207 T^{19} + 511116753300641401 T^{20} $)($ 1 + 13 T + 8 T^{2} - 99 T^{3} - 1386 T^{4} - 71319 T^{5} - 553188 T^{6} - 1402305 T^{7} + 12050733 T^{8} + 238436626 T^{9} + 2061069616 T^{10} + 14067760934 T^{11} + 41948601573 T^{12} - 288003998595 T^{13} - 6703178696868 T^{14} - 50987686080381 T^{15} - 58462219626426 T^{16} - 246376496997081 T^{17} + 1174643500834568 T^{18} + 112618945642514207 T^{19} + 511116753300641401 T^{20} $)($ 1 + 6 T - 183 T^{2} - 1094 T^{3} + 14871 T^{4} + 71610 T^{5} - 1176532 T^{6} - 2457504 T^{7} + 109864125 T^{8} + 122046958 T^{9} - 7583261313 T^{10} - 4376692308 T^{11} + 430621860766 T^{12} - 258224846172 T^{13} - 26397332630553 T^{14} + 25065882187082 T^{15} + 1331263263574125 T^{16} - 1756929324489696 T^{17} - 49626747605713012 T^{18} + 178212332827888590 T^{19} + 2183515437613857591 T^{20} - 9477317425608503266 T^{21} - 93534365854017376383 T^{22} + $$18\!\cdots\!54$$ T^{23} + $$17\!\cdots\!81$$ T^{24} $)($ 1 + 6 T - 183 T^{2} - 1094 T^{3} + 14871 T^{4} + 71610 T^{5} - 1176532 T^{6} - 2457504 T^{7} + 109864125 T^{8} + 122046958 T^{9} - 7583261313 T^{10} - 4376692308 T^{11} + 430621860766 T^{12} - 258224846172 T^{13} - 26397332630553 T^{14} + 25065882187082 T^{15} + 1331263263574125 T^{16} - 1756929324489696 T^{17} - 49626747605713012 T^{18} + 178212332827888590 T^{19} + 2183515437613857591 T^{20} - 9477317425608503266 T^{21} - 93534365854017376383 T^{22} + $$18\!\cdots\!54$$ T^{23} + $$17\!\cdots\!81$$ T^{24} $)($ 1 - 6 T - 183 T^{2} + 1094 T^{3} + 14871 T^{4} - 71610 T^{5} - 1176532 T^{6} + 2457504 T^{7} + 109864125 T^{8} - 122046958 T^{9} - 7583261313 T^{10} + 4376692308 T^{11} + 430621860766 T^{12} + 258224846172 T^{13} - 26397332630553 T^{14} - 25065882187082 T^{15} + 1331263263574125 T^{16} + 1756929324489696 T^{17} - 49626747605713012 T^{18} - 178212332827888590 T^{19} + 2183515437613857591 T^{20} + 9477317425608503266 T^{21} - 93534365854017376383 T^{22} - $$18\!\cdots\!54$$ T^{23} + $$17\!\cdots\!81$$ T^{24} $)($ 1 - 6 T - 183 T^{2} + 1094 T^{3} + 14871 T^{4} - 71610 T^{5} - 1176532 T^{6} + 2457504 T^{7} + 109864125 T^{8} - 122046958 T^{9} - 7583261313 T^{10} + 4376692308 T^{11} + 430621860766 T^{12} + 258224846172 T^{13} - 26397332630553 T^{14} - 25065882187082 T^{15} + 1331263263574125 T^{16} + 1756929324489696 T^{17} - 49626747605713012 T^{18} - 178212332827888590 T^{19} + 2183515437613857591 T^{20} + 9477317425608503266 T^{21} - 93534365854017376383 T^{22} - $$18\!\cdots\!54$$ T^{23} + $$17\!\cdots\!81$$ T^{24} $)($ 1 - 6 T + 18 T^{2} - 354 T^{3} + 3481 T^{4} $)($ 1 + 6 T + 18 T^{2} + 354 T^{3} + 3481 T^{4} $)($ ( 1 - 8 T + 32 T^{2} - 472 T^{3} + 3481 T^{4} )^{4} $)($ 1 - 7452 T^{4} + 27767206 T^{8} - 90298574172 T^{12} + 146830437604321 T^{16} $)($ 1 - 7452 T^{4} + 27767206 T^{8} - 90298574172 T^{12} + 146830437604321 T^{16} $)($ ( 1 + 8 T + 32 T^{2} + 472 T^{3} + 3481 T^{4} )^{4} $)($ 1 - 2360 T^{4} + 15662172 T^{8} - 90024948744 T^{12} + 175698504275846 T^{16} - 1090864802937544584 T^{20} + $$22\!\cdots\!12$$ T^{24} - $$41\!\cdots\!60$$ T^{28} + $$21\!\cdots\!41$$ T^{32} $)($ 1 - 2360 T^{4} + 15662172 T^{8} - 90024948744 T^{12} + 175698504275846 T^{16} - 1090864802937544584 T^{20} + $$22\!\cdots\!12$$ T^{24} - $$41\!\cdots\!60$$ T^{28} + $$21\!\cdots\!41$$ T^{32} $)($ ( 1 - 9 T + 86 T^{2} - 531 T^{3} + 3481 T^{4} )^{2} $)($ ( 1 + 9 T + 86 T^{2} + 531 T^{3} + 3481 T^{4} )^{2} $)($ ( 1 - 82 T^{2} + 3481 T^{4} )^{2}( 1 + 82 T^{2} + 3243 T^{4} + 285442 T^{6} + 12117361 T^{8} ) $)($ ( 1 + 134 T^{2} + 7519 T^{4} + 465650 T^{6} + 34308772 T^{8} + 1620927650 T^{10} + 91110437359 T^{12} + 5652191507894 T^{14} + 146830437604321 T^{16} )^{2} $)($ ( 1 + 218 T^{2} + 28735 T^{4} + 2578286 T^{6} + 175478116 T^{8} + 8975013566 T^{10} + 348192368335 T^{12} + 9195356333738 T^{14} + 146830437604321 T^{16} )^{2} $)($ ( 1 + 6 T + 59 T^{2} )^{2}( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} ) $)($ 1 + 37 T^{2} - 2112 T^{4} + 128797 T^{6} + 12117361 T^{8} $)($ 1 + 37 T^{2} - 2112 T^{4} + 128797 T^{6} + 12117361 T^{8} $)($ ( 1 - 6 T + 59 T^{2} )^{2}( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} ) $)($ ( 1 + 184 T^{2} + 19105 T^{4} + 1433176 T^{6} + 87621904 T^{8} + 4988885656 T^{10} + 231502181905 T^{12} + 7761218189944 T^{14} + 146830437604321 T^{16} )^{2} $)($ ( 1 + 182 T^{2} + 18367 T^{4} + 1418690 T^{6} + 90347044 T^{8} + 4938459890 T^{10} + 222559569487 T^{12} + 7676857122662 T^{14} + 146830437604321 T^{16} )^{2} $)($ 1 + 16 T + 114 T^{2} + 696 T^{3} + 4834 T^{4} + 41064 T^{5} + 396834 T^{6} + 3286064 T^{7} + 12117361 T^{8} $)($ 1 + 20 T + 136 T^{2} - 1124 T^{3} - 27632 T^{4} - 217412 T^{5} - 194408 T^{6} + 12195572 T^{7} + 142178894 T^{8} + 719538748 T^{9} - 676734248 T^{10} - 44651859148 T^{11} - 334826919152 T^{12} - 803574912076 T^{13} + 5736552575176 T^{14} + 49773029696380 T^{15} + 146830437604321 T^{16} $)
$61$	($ 1 + 14 T + 61 T^{2} $)($ 1 + 14 T + 61 T^{2} $)($ 1 - 2 T + 61 T^{2} $)($ 1 - 10 T + 61 T^{2} $)($ 1 + 10 T + 61 T^{2} $)($ 1 - 10 T + 61 T^{2} $)($ 1 + 10 T + 61 T^{2} $)($ 1 - 2 T + 61 T^{2} $)($ 1 - 2 T + 61 T^{2} $)($ 1 + 2 T + 61 T^{2} $)($ 1 + 2 T + 61 T^{2} $)($ 1 - 2 T + 61 T^{2} $)($ 1 + 2 T + 61 T^{2} $)($ 1 - 10 T + 61 T^{2} $)($ 1 + 10 T + 61 T^{2} $)($ 1 - 10 T + 61 T^{2} $)($ 1 + 10 T + 61 T^{2} $)($ 1 + 2 T + 61 T^{2} $)($ 1 - 14 T + 61 T^{2} $)($ 1 - 14 T + 61 T^{2} $)($ ( 1 - 4 T + 94 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} $)($ ( 1 + 4 T + 94 T^{2} + 244 T^{3} + 3721 T^{4} )^{2} $)($ ( 1 + 4 T + 94 T^{2} + 244 T^{3} + 3721 T^{4} )^{2} $)($ ( 1 - 4 T + 94 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} $)($ ( 1 - 10 T + 61 T^{2} )( 1 + 10 T + 61 T^{2} ) $)($ ( 1 - 10 T + 61 T^{2} )( 1 + 10 T + 61 T^{2} ) $)($ ( 1 - 61 T^{2} )^{2} $)($ ( 1 - 10 T + 61 T^{2} )( 1 + 10 T + 61 T^{2} ) $)($ ( 1 - 10 T + 61 T^{2} )( 1 + 10 T + 61 T^{2} ) $)($ ( 1 - 10 T + 61 T^{2} )( 1 + 10 T + 61 T^{2} ) $)($ ( 1 - 61 T^{2} )^{4} $)($ ( 1 + 6 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 - 58 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 - 10 T + 61 T^{2} )^{2}( 1 + 10 T + 61 T^{2} )^{2} $)($ ( 1 - 10 T + 61 T^{2} )^{2}( 1 + 10 T + 61 T^{2} )^{2} $)($ ( 1 - 58 T^{2} + 3721 T^{4} )^{2} $)($ 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} $)($ 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} $)($ 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} $)($ 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} $)($ 1 - 10 T - 29 T^{2} + 586 T^{3} - 4096 T^{4} + 18694 T^{5} - 74095 T^{6} + 1489618 T^{7} - 1883845 T^{8} - 159588968 T^{9} + 1829886464 T^{10} - 9734927048 T^{11} - 7009787245 T^{12} + 338114983258 T^{13} - 1025907588895 T^{14} + 15788883250894 T^{15} - 211027453382656 T^{16} + 1841647301908306 T^{17} - 5559512076921149 T^{18} - 116941460928341410 T^{19} + 713342911662882601 T^{20} $)($ 1 + 10 T - 29 T^{2} - 586 T^{3} - 4096 T^{4} - 18694 T^{5} - 74095 T^{6} - 1489618 T^{7} - 1883845 T^{8} + 159588968 T^{9} + 1829886464 T^{10} + 9734927048 T^{11} - 7009787245 T^{12} - 338114983258 T^{13} - 1025907588895 T^{14} - 15788883250894 T^{15} - 211027453382656 T^{16} - 1841647301908306 T^{17} - 5559512076921149 T^{18} + 116941460928341410 T^{19} + 713342911662882601 T^{20} $)($ 1 + 10 T - 29 T^{2} - 586 T^{3} - 4096 T^{4} - 18694 T^{5} - 74095 T^{6} - 1489618 T^{7} - 1883845 T^{8} + 159588968 T^{9} + 1829886464 T^{10} + 9734927048 T^{11} - 7009787245 T^{12} - 338114983258 T^{13} - 1025907588895 T^{14} - 15788883250894 T^{15} - 211027453382656 T^{16} - 1841647301908306 T^{17} - 5559512076921149 T^{18} + 116941460928341410 T^{19} + 713342911662882601 T^{20} $)($ 1 - 10 T - 29 T^{2} + 586 T^{3} - 4096 T^{4} + 18694 T^{5} - 74095 T^{6} + 1489618 T^{7} - 1883845 T^{8} - 159588968 T^{9} + 1829886464 T^{10} - 9734927048 T^{11} - 7009787245 T^{12} + 338114983258 T^{13} - 1025907588895 T^{14} + 15788883250894 T^{15} - 211027453382656 T^{16} + 1841647301908306 T^{17} - 5559512076921149 T^{18} - 116941460928341410 T^{19} + 713342911662882601 T^{20} $)($ 1 - 14 T - 166 T^{2} + 2452 T^{3} + 23486 T^{4} - 256682 T^{5} - 2904116 T^{6} + 18433410 T^{7} + 310892370 T^{8} - 1035224932 T^{9} - 25169458330 T^{10} + 25123222006 T^{11} + 1689393499046 T^{12} + 1532516542366 T^{13} - 93655554445930 T^{14} - 234976390290292 T^{15} + 4304566323133170 T^{16} + 15568789900816410 T^{17} - 149621143507769876 T^{18} - 806685516635542322 T^{19} + 4502437953054141566 T^{20} + 28674046219629313732 T^{21} - $$11\!\cdots\!66$$ T^{22} - $$60\!\cdots\!54$$ T^{23} + $$26\!\cdots\!21$$ T^{24} $)($ 1 + 14 T - 166 T^{2} - 2452 T^{3} + 23486 T^{4} + 256682 T^{5} - 2904116 T^{6} - 18433410 T^{7} + 310892370 T^{8} + 1035224932 T^{9} - 25169458330 T^{10} - 25123222006 T^{11} + 1689393499046 T^{12} - 1532516542366 T^{13} - 93655554445930 T^{14} + 234976390290292 T^{15} + 4304566323133170 T^{16} - 15568789900816410 T^{17} - 149621143507769876 T^{18} + 806685516635542322 T^{19} + 4502437953054141566 T^{20} - 28674046219629313732 T^{21} - $$11\!\cdots\!66$$ T^{22} + $$60\!\cdots\!54$$ T^{23} + $$26\!\cdots\!21$$ T^{24} $)($ 1 - 14 T - 166 T^{2} + 2452 T^{3} + 23486 T^{4} - 256682 T^{5} - 2904116 T^{6} + 18433410 T^{7} + 310892370 T^{8} - 1035224932 T^{9} - 25169458330 T^{10} + 25123222006 T^{11} + 1689393499046 T^{12} + 1532516542366 T^{13} - 93655554445930 T^{14} - 234976390290292 T^{15} + 4304566323133170 T^{16} + 15568789900816410 T^{17} - 149621143507769876 T^{18} - 806685516635542322 T^{19} + 4502437953054141566 T^{20} + 28674046219629313732 T^{21} - $$11\!\cdots\!66$$ T^{22} - $$60\!\cdots\!54$$ T^{23} + $$26\!\cdots\!21$$ T^{24} $)($ 1 + 14 T - 166 T^{2} - 2452 T^{3} + 23486 T^{4} + 256682 T^{5} - 2904116 T^{6} - 18433410 T^{7} + 310892370 T^{8} + 1035224932 T^{9} - 25169458330 T^{10} - 25123222006 T^{11} + 1689393499046 T^{12} - 1532516542366 T^{13} - 93655554445930 T^{14} + 234976390290292 T^{15} + 4304566323133170 T^{16} - 15568789900816410 T^{17} - 149621143507769876 T^{18} + 806685516635542322 T^{19} + 4502437953054141566 T^{20} - 28674046219629313732 T^{21} - $$11\!\cdots\!66$$ T^{22} + $$60\!\cdots\!54$$ T^{23} + $$26\!\cdots\!21$$ T^{24} $)($ 1 - 18 T + 162 T^{2} - 1098 T^{3} + 3721 T^{4} $)($ 1 - 18 T + 162 T^{2} - 1098 T^{3} + 3721 T^{4} $)($ 1 + 16 T + 128 T^{2} + 1392 T^{3} + 14204 T^{4} + 79760 T^{5} + 426880 T^{6} + 2945904 T^{7} + 19569574 T^{8} + 179700144 T^{9} + 1588420480 T^{10} + 18104004560 T^{11} + 196666325564 T^{12} + 1175678050992 T^{13} + 6594607918208 T^{14} + 50283885376336 T^{15} + 191707312997281 T^{16} $)($ ( 1 + 8 T + 32 T^{2} + 440 T^{3} + 6014 T^{4} + 26840 T^{5} + 119072 T^{6} + 1815848 T^{7} + 13845841 T^{8} )^{2} $)($ ( 1 + 8 T + 32 T^{2} + 440 T^{3} + 6014 T^{4} + 26840 T^{5} + 119072 T^{6} + 1815848 T^{7} + 13845841 T^{8} )^{2} $)($ 1 + 16 T + 128 T^{2} + 1392 T^{3} + 14204 T^{4} + 79760 T^{5} + 426880 T^{6} + 2945904 T^{7} + 19569574 T^{8} + 179700144 T^{9} + 1588420480 T^{10} + 18104004560 T^{11} + 196666325564 T^{12} + 1175678050992 T^{13} + 6594607918208 T^{14} + 50283885376336 T^{15} + 191707312997281 T^{16} $)($ ( 1 - 16 T + 128 T^{2} - 1392 T^{3} + 16892 T^{4} - 124816 T^{5} + 803712 T^{6} - 7357296 T^{7} + 67536550 T^{8} - 448795056 T^{9} + 2990612352 T^{10} - 28330860496 T^{11} + 233883946172 T^{12} - 1175678050992 T^{13} + 6594607918208 T^{14} - 50283885376336 T^{15} + 191707312997281 T^{16} )^{2} $)($ ( 1 - 16 T + 128 T^{2} - 1392 T^{3} + 16892 T^{4} - 124816 T^{5} + 803712 T^{6} - 7357296 T^{7} + 67536550 T^{8} - 448795056 T^{9} + 2990612352 T^{10} - 28330860496 T^{11} + 233883946172 T^{12} - 1175678050992 T^{13} + 6594607918208 T^{14} - 50283885376336 T^{15} + 191707312997281 T^{16} )^{2} $)($ 1 + 26 T^{2} - 3045 T^{4} + 96746 T^{6} + 13845841 T^{8} $)($ 1 + 26 T^{2} - 3045 T^{4} + 96746 T^{6} + 13845841 T^{8} $)($ ( 1 + 61 T^{2} + 3721 T^{4} )^{4} $)($ ( 1 + 202 T^{2} + 23545 T^{4} + 1983034 T^{6} + 132195556 T^{8} + 7378869514 T^{10} + 326000326345 T^{12} + 10407115620922 T^{14} + 191707312997281 T^{16} )^{2} $)($ ( 1 + 41 T^{2} - 2040 T^{4} + 152561 T^{6} + 13845841 T^{8} )^{4} $)($ ( 1 + 61 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 + 61 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 + 61 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 + 61 T^{2} + 3721 T^{4} )^{2} $)($ ( 1 + 190 T^{2} + 19741 T^{4} + 1694230 T^{6} + 119442940 T^{8} + 6304229830 T^{10} + 273330747181 T^{12} + 9788871128590 T^{14} + 191707312997281 T^{16} )^{2} $)($ ( 1 + 178 T^{2} + 17185 T^{4} + 1256146 T^{6} + 78478996 T^{8} + 4674119266 T^{10} + 237940777585 T^{12} + 9170626636258 T^{14} + 191707312997281 T^{16} )^{2} $)($ 1 - 4 T + 6 T^{2} - 4 T^{3} + 2 T^{4} - 244 T^{5} + 22326 T^{6} - 907924 T^{7} + 13845841 T^{8} $)($ 1 - 24 T + 132 T^{2} + 648 T^{3} + 72 T^{4} - 138600 T^{5} + 1067820 T^{6} - 2497416 T^{7} + 88430 T^{8} - 152342376 T^{9} + 3973358220 T^{10} - 31459566600 T^{11} + 996900552 T^{12} + 547298403048 T^{13} + 6800689415652 T^{14} - 75425828064504 T^{15} + 191707312997281 T^{16} $)
$67$	($ 1 - 4 T + 67 T^{2} $)($ 1 + 4 T + 67 T^{2} $)($ 1 - 10 T + 67 T^{2} $)($ 1 + 8 T + 67 T^{2} $)($ 1 - 8 T + 67 T^{2} $)($ 1 - 8 T + 67 T^{2} $)($ 1 + 8 T + 67 T^{2} $)($ 1 + 10 T + 67 T^{2} $)($ 1 + 4 T + 67 T^{2} $)($ 1 - 4 T + 67 T^{2} $)($ 1 + 4 T + 67 T^{2} $)($ 1 - 4 T + 67 T^{2} $)($ 1 + 10 T + 67 T^{2} $)($ 1 + 8 T + 67 T^{2} $)($ 1 - 8 T + 67 T^{2} $)($ 1 - 8 T + 67 T^{2} $)($ 1 + 8 T + 67 T^{2} $)($ 1 - 10 T + 67 T^{2} $)($ 1 + 4 T + 67 T^{2} $)($ 1 - 4 T + 67 T^{2} $)($ ( 1 + 10 T^{2} + 4489 T^{4} )^{2} $)($ ( 1 + 10 T^{2} + 4489 T^{4} )^{2} $)($ ( 1 + 10 T^{2} + 4489 T^{4} )^{2} $)($ ( 1 + 10 T^{2} + 4489 T^{4} )^{2} $)($ 1 + 10 T^{2} + 4489 T^{4} $)($ ( 1 - 67 T^{2} )^{2} $)($ ( 1 - 14 T + 67 T^{2} )( 1 + 14 T + 67 T^{2} ) $)($ ( 1 - 67 T^{2} )^{2} $)($ ( 1 - 67 T^{2} )^{2} $)($ 1 + 10 T^{2} + 4489 T^{4} $)($ ( 1 - 67 T^{2} )^{4} $)($ ( 1 - 118 T^{2} + 4489 T^{4} )^{2} $)($ ( 1 + 102 T^{2} + 4489 T^{4} )^{2} $)($ ( 1 + 67 T^{2} )^{4} $)($ ( 1 + 67 T^{2} )^{4} $)($ ( 1 + 102 T^{2} + 4489 T^{4} )^{2} $)($ 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} $)($ 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} $)($ 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} $)($ 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} $)($ 1 - 17 T - 86 T^{2} + 2045 T^{3} + 16832 T^{4} - 214933 T^{5} - 1861648 T^{6} + 10584233 T^{7} + 211377539 T^{8} - 361755136 T^{9} - 15322470844 T^{10} - 24237594112 T^{11} + 948873772571 T^{12} + 3183345669779 T^{13} - 37514294107408 T^{14} - 290186439622831 T^{15} + 1522595488668608 T^{16} + 12394155232885535 T^{17} - 34921820269871126 T^{18} - 462511084737014099 T^{19} + 1822837804551761449 T^{20} $)($ 1 - 17 T - 86 T^{2} + 2045 T^{3} + 16832 T^{4} - 214933 T^{5} - 1861648 T^{6} + 10584233 T^{7} + 211377539 T^{8} - 361755136 T^{9} - 15322470844 T^{10} - 24237594112 T^{11} + 948873772571 T^{12} + 3183345669779 T^{13} - 37514294107408 T^{14} - 290186439622831 T^{15} + 1522595488668608 T^{16} + 12394155232885535 T^{17} - 34921820269871126 T^{18} - 462511084737014099 T^{19} + 1822837804551761449 T^{20} $)($ 1 + 17 T - 86 T^{2} - 2045 T^{3} + 16832 T^{4} + 214933 T^{5} - 1861648 T^{6} - 10584233 T^{7} + 211377539 T^{8} + 361755136 T^{9} - 15322470844 T^{10} + 24237594112 T^{11} + 948873772571 T^{12} - 3183345669779 T^{13} - 37514294107408 T^{14} + 290186439622831 T^{15} + 1522595488668608 T^{16} - 12394155232885535 T^{17} - 34921820269871126 T^{18} + 462511084737014099 T^{19} + 1822837804551761449 T^{20} $)($ 1 + 17 T - 86 T^{2} - 2045 T^{3} + 16832 T^{4} + 214933 T^{5} - 1861648 T^{6} - 10584233 T^{7} + 211377539 T^{8} + 361755136 T^{9} - 15322470844 T^{10} + 24237594112 T^{11} + 948873772571 T^{12} - 3183345669779 T^{13} - 37514294107408 T^{14} + 290186439622831 T^{15} + 1522595488668608 T^{16} - 12394155232885535 T^{17} - 34921820269871126 T^{18} + 462511084737014099 T^{19} + 1822837804551761449 T^{20} $)($ 1 + 4 T - 139 T^{2} - 440 T^{3} + 8819 T^{4} - 10838 T^{5} + 22768 T^{6} + 7726476 T^{7} - 28246803 T^{8} - 772234804 T^{9} + 2282110511 T^{10} + 26367816958 T^{11} - 108360067642 T^{12} + 1766643736186 T^{13} + 10244394083879 T^{14} - 232259656355452 T^{15} - 569204745116163 T^{16} + 10431709236232932 T^{17} + 2059556445223792 T^{18} - 65685992378490674 T^{19} + 3581110848372016979 T^{20} - 11970875134369776680 T^{21} - $$25\!\cdots\!11$$ T^{22} + $$48\!\cdots\!32$$ T^{23} + $$81\!\cdots\!61$$ T^{24} $)($ 1 + 4 T - 139 T^{2} - 440 T^{3} + 8819 T^{4} - 10838 T^{5} + 22768 T^{6} + 7726476 T^{7} - 28246803 T^{8} - 772234804 T^{9} + 2282110511 T^{10} + 26367816958 T^{11} - 108360067642 T^{12} + 1766643736186 T^{13} + 10244394083879 T^{14} - 232259656355452 T^{15} - 569204745116163 T^{16} + 10431709236232932 T^{17} + 2059556445223792 T^{18} - 65685992378490674 T^{19} + 3581110848372016979 T^{20} - 11970875134369776680 T^{21} - $$25\!\cdots\!11$$ T^{22} + $$48\!\cdots\!32$$ T^{23} + $$81\!\cdots\!61$$ T^{24} $)($ 1 - 4 T - 139 T^{2} + 440 T^{3} + 8819 T^{4} + 10838 T^{5} + 22768 T^{6} - 7726476 T^{7} - 28246803 T^{8} + 772234804 T^{9} + 2282110511 T^{10} - 26367816958 T^{11} - 108360067642 T^{12} - 1766643736186 T^{13} + 10244394083879 T^{14} + 232259656355452 T^{15} - 569204745116163 T^{16} - 10431709236232932 T^{17} + 2059556445223792 T^{18} + 65685992378490674 T^{19} + 3581110848372016979 T^{20} + 11970875134369776680 T^{21} - $$25\!\cdots\!11$$ T^{22} - $$48\!\cdots\!32$$ T^{23} + $$81\!\cdots\!61$$ T^{24} $)($ 1 - 4 T - 139 T^{2} + 440 T^{3} + 8819 T^{4} + 10838 T^{5} + 22768 T^{6} - 7726476 T^{7} - 28246803 T^{8} + 772234804 T^{9} + 2282110511 T^{10} - 26367816958 T^{11} - 108360067642 T^{12} - 1766643736186 T^{13} + 10244394083879 T^{14} + 232259656355452 T^{15} - 569204745116163 T^{16} - 10431709236232932 T^{17} + 2059556445223792 T^{18} + 65685992378490674 T^{19} + 3581110848372016979 T^{20} + 11970875134369776680 T^{21} - $$25\!\cdots\!11$$ T^{22} - $$48\!\cdots\!32$$ T^{23} + $$81\!\cdots\!61$$ T^{24} $)($ 1 + 10 T + 50 T^{2} + 670 T^{3} + 4489 T^{4} $)($ 1 - 10 T + 50 T^{2} - 670 T^{3} + 4489 T^{4} $)($ 1 - 16 T + 128 T^{2} - 304 T^{3} + 4388 T^{4} - 107696 T^{5} + 1207680 T^{6} - 4800272 T^{7} + 13154790 T^{8} - 321618224 T^{9} + 5421275520 T^{10} - 32390972048 T^{11} + 88423118948 T^{12} - 410438032528 T^{13} + 11578672917632 T^{14} - 96971385685168 T^{15} + 406067677556641 T^{16} $)($ ( 1 - 8 T + 32 T^{2} - 536 T^{3} + 4489 T^{4} )^{4} $)($ ( 1 + 8 T + 32 T^{2} + 536 T^{3} + 4489 T^{4} )^{4} $)($ 1 + 16 T + 128 T^{2} + 304 T^{3} + 4388 T^{4} + 107696 T^{5} + 1207680 T^{6} + 4800272 T^{7} + 13154790 T^{8} + 321618224 T^{9} + 5421275520 T^{10} + 32390972048 T^{11} + 88423118948 T^{12} + 410438032528 T^{13} + 11578672917632 T^{14} + 96971385685168 T^{15} + 406067677556641 T^{16} $)($ ( 1 - 8 T + 32 T^{2} - 1240 T^{3} + 5540 T^{4} + 65000 T^{5} + 71520 T^{6} + 2339576 T^{7} - 86245658 T^{8} + 156751592 T^{9} + 321053280 T^{10} + 19549595000 T^{11} + 111637210340 T^{12} - 1674155132680 T^{13} + 2894668229408 T^{14} - 48485692842584 T^{15} + 406067677556641 T^{16} )^{2} $)($ ( 1 + 8 T + 32 T^{2} + 1240 T^{3} + 5540 T^{4} - 65000 T^{5} + 71520 T^{6} - 2339576 T^{7} - 86245658 T^{8} - 156751592 T^{9} + 321053280 T^{10} - 19549595000 T^{11} + 111637210340 T^{12} + 1674155132680 T^{13} + 2894668229408 T^{14} + 48485692842584 T^{15} + 406067677556641 T^{16} )^{2} $)($ ( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} )^{2} $)($ ( 1 + 3 T - 58 T^{2} + 201 T^{3} + 4489 T^{4} )^{2} $)($ ( 1 + 62 T^{2} + 4489 T^{4} )^{2}( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} ) $)($ ( 1 - 22 T^{2} - 8609 T^{4} - 2530 T^{6} + 60358852 T^{8} - 11357170 T^{10} - 173481000689 T^{12} - 1990084407718 T^{14} + 406067677556641 T^{16} )^{2} $)($ ( 1 - 106 T^{2} + 5983 T^{4} + 394850 T^{6} - 42995516 T^{8} + 1772481650 T^{10} + 120564156943 T^{12} - 9588588509914 T^{14} + 406067677556641 T^{16} )^{2} $)($ ( 1 + 14 T + 67 T^{2} )^{2}( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} ) $)($ 1 + 125 T^{2} + 11136 T^{4} + 561125 T^{6} + 20151121 T^{8} $)($ 1 + 125 T^{2} + 11136 T^{4} + 561125 T^{6} + 20151121 T^{8} $)($ ( 1 - 14 T + 67 T^{2} )^{2}( 1 - 14 T + 129 T^{2} - 938 T^{3} + 4489 T^{4} ) $)($ ( 1 + 112 T^{2} + 6505 T^{4} - 329168 T^{6} - 39991616 T^{8} - 1477635152 T^{10} + 131083042105 T^{12} + 10131338802928 T^{14} + 406067677556641 T^{16} )^{2} $)($ ( 1 - 38 T^{2} + 1231 T^{4} + 333070 T^{6} - 26587868 T^{8} + 1495151230 T^{10} + 24806029951 T^{12} - 3437418522422 T^{14} + 406067677556641 T^{16} )^{2} $)($ 1 - 8 T + 18 T^{2} + 736 T^{3} - 5854 T^{4} + 49312 T^{5} + 80802 T^{6} - 2406104 T^{7} + 20151121 T^{8} $)($ 1 - 36 T + 504 T^{2} - 2652 T^{3} - 10800 T^{4} + 217380 T^{5} - 1006488 T^{6} + 637596 T^{7} + 11635982 T^{8} + 42718932 T^{9} - 4518124632 T^{10} + 65379860940 T^{11} - 217632106800 T^{12} - 3580531783764 T^{13} + 45591024613176 T^{14} - 218185617791628 T^{15} + 406067677556641 T^{16} $)
$71$	($ 1 - 12 T + 71 T^{2} $)($ 1 + 12 T + 71 T^{2} $)($ 1 + 12 T + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 - 12 T + 71 T^{2} $)($ 1 + 4 T + 71 T^{2} $)($ 1 + 4 T + 71 T^{2} $)($ 1 - 4 T + 71 T^{2} $)($ 1 - 4 T + 71 T^{2} $)($ 1 + 12 T + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 + 71 T^{2} $)($ 1 - 12 T + 71 T^{2} $)($ 1 - 12 T + 71 T^{2} $)($ 1 + 12 T + 71 T^{2} $)($ ( 1 + 8 T + 86 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} $)($ ( 1 + 8 T + 86 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} $)($ ( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} $)($ ( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} $)($ ( 1 + 8 T + 71 T^{2} )^{2} $)($ ( 1 + 71 T^{2} )^{2} $)($ ( 1 + 71 T^{2} )^{2} $)($ ( 1 + 71 T^{2} )^{2} $)($ ( 1 + 71 T^{2} )^{2} $)($ ( 1 - 8 T + 71 T^{2} )^{2} $)($ ( 1 + 71 T^{2} )^{4} $)($ ( 1 + 110 T^{2} + 5041 T^{4} )^{2} $)($ ( 1 + 4 T + 71 T^{2} )^{4} $)($ ( 1 + 71 T^{2} )^{4} $)($ ( 1 + 71 T^{2} )^{4} $)($ ( 1 - 4 T + 71 T^{2} )^{4} $)($ ( 1 - 6 T + 71 T^{2} )^{2} $)($ ( 1 + 6 T + 71 T^{2} )^{2} $)($ ( 1 + 6 T + 71 T^{2} )^{2} $)($ ( 1 - 6 T + 71 T^{2} )^{2} $)($ ( 1 - 4 T + 191 T^{2} - 56 T^{3} + 17098 T^{4} + 17904 T^{5} + 1213958 T^{6} - 282296 T^{7} + 68361001 T^{8} - 101646724 T^{9} + 1804229351 T^{10} )^{2} $)($ ( 1 + 4 T + 191 T^{2} + 56 T^{3} + 17098 T^{4} - 17904 T^{5} + 1213958 T^{6} + 282296 T^{7} + 68361001 T^{8} + 101646724 T^{9} + 1804229351 T^{10} )^{2} $)($ ( 1 - 4 T + 191 T^{2} - 56 T^{3} + 17098 T^{4} + 17904 T^{5} + 1213958 T^{6} - 282296 T^{7} + 68361001 T^{8} - 101646724 T^{9} + 1804229351 T^{10} )^{2} $)($ ( 1 + 4 T + 191 T^{2} + 56 T^{3} + 17098 T^{4} - 17904 T^{5} + 1213958 T^{6} + 282296 T^{7} + 68361001 T^{8} + 101646724 T^{9} + 1804229351 T^{10} )^{2} $)($ ( 1 - 14 T + 354 T^{2} - 3362 T^{3} + 50451 T^{4} - 366980 T^{5} + 4312564 T^{6} - 26055580 T^{7} + 254323491 T^{8} - 1203296782 T^{9} + 8995735074 T^{10} - 25259210914 T^{11} + 128100283921 T^{12} )^{2} $)($ ( 1 + 14 T + 354 T^{2} + 3362 T^{3} + 50451 T^{4} + 366980 T^{5} + 4312564 T^{6} + 26055580 T^{7} + 254323491 T^{8} + 1203296782 T^{9} + 8995735074 T^{10} + 25259210914 T^{11} + 128100283921 T^{12} )^{2} $)($ ( 1 + 14 T + 354 T^{2} + 3362 T^{3} + 50451 T^{4} + 366980 T^{5} + 4312564 T^{6} + 26055580 T^{7} + 254323491 T^{8} + 1203296782 T^{9} + 8995735074 T^{10} + 25259210914 T^{11} + 128100283921 T^{12} )^{2} $)($ ( 1 - 14 T + 354 T^{2} - 3362 T^{3} + 50451 T^{4} - 366980 T^{5} + 4312564 T^{6} - 26055580 T^{7} + 254323491 T^{8} - 1203296782 T^{9} + 8995735074 T^{10} - 25259210914 T^{11} + 128100283921 T^{12} )^{2} $)($ 1 - 42 T^{2} + 5041 T^{4} $)($ 1 - 42 T^{2} + 5041 T^{4} $)($ 1 - 440 T^{2} + 90844 T^{4} - 11522952 T^{6} + 984512390 T^{8} - 58087201032 T^{10} + 2308498748764 T^{12} - 56364124925240 T^{14} + 645753531245761 T^{16} $)($ ( 1 - 92 T^{2} + 5030 T^{4} - 463772 T^{6} + 25411681 T^{8} )^{2} $)($ ( 1 - 92 T^{2} + 5030 T^{4} - 463772 T^{6} + 25411681 T^{8} )^{2} $)($ 1 - 440 T^{2} + 90844 T^{4} - 11522952 T^{6} + 984512390 T^{8} - 58087201032 T^{10} + 2308498748764 T^{12} - 56364124925240 T^{14} + 645753531245761 T^{16} $)($ ( 1 - 376 T^{2} + 67068 T^{4} - 7636296 T^{6} + 626574150 T^{8} - 38494568136 T^{10} + 1704310621308 T^{12} - 48165706754296 T^{14} + 645753531245761 T^{16} )^{2} $)($ ( 1 - 376 T^{2} + 67068 T^{4} - 7636296 T^{6} + 626574150 T^{8} - 38494568136 T^{10} + 1704310621308 T^{12} - 48165706754296 T^{14} + 645753531245761 T^{16} )^{2} $)($ ( 1 + 70 T^{2} + 5041 T^{4} )^{2} $)($ ( 1 + 70 T^{2} + 5041 T^{4} )^{2} $)($ ( 1 + 71 T^{2} )^{8} $)($ ( 1 + 224 T^{2} + 22410 T^{4} + 1129184 T^{6} + 25411681 T^{8} )^{4} $)($ ( 1 - 112 T^{2} + 13002 T^{4} - 564592 T^{6} + 25411681 T^{8} )^{4} $)($ ( 1 + 71 T^{2} )^{4} $)($ ( 1 - 8 T + 71 T^{2} )^{4} $)($ ( 1 + 8 T + 71 T^{2} )^{4} $)($ ( 1 + 71 T^{2} )^{4} $)($ ( 1 - 40 T^{2} + 6594 T^{4} - 201640 T^{6} + 25411681 T^{8} )^{4} $)($ ( 1 - 112 T^{2} + 13002 T^{4} - 564592 T^{6} + 25411681 T^{8} )^{4} $)($ 1 + 12 T + 72 T^{2} + 876 T^{3} + 10654 T^{4} + 62196 T^{5} + 362952 T^{6} + 4294932 T^{7} + 25411681 T^{8} $)($ 1 + 24 T + 288 T^{2} + 2904 T^{3} + 21308 T^{4} + 62712 T^{5} - 415008 T^{6} - 11818440 T^{7} - 144298362 T^{8} - 839109240 T^{9} - 2092055328 T^{10} + 22445314632 T^{11} + 541472098748 T^{12} + 5239482035304 T^{13} + 36892881769248 T^{14} + 218282883801384 T^{15} + 645753531245761 T^{16} $)
$73$	($ 1 + 10 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 - 14 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 14 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 - 14 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 2 T + 73 T^{2} $)($ 1 - 14 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ 1 + 10 T + 73 T^{2} $)($ ( 1 - 4 T + 73 T^{2} )^{4} $)($ ( 1 - 4 T + 73 T^{2} )^{4} $)($ ( 1 - 4 T + 73 T^{2} )^{4} $)($ ( 1 - 4 T + 73 T^{2} )^{4} $)($ ( 1 - 6 T + 73 T^{2} )^{2} $)($ ( 1 + 6 T + 73 T^{2} )^{2} $)($ ( 1 + 2 T + 73 T^{2} )^{2} $)($ ( 1 - 6 T + 73 T^{2} )^{2} $)($ ( 1 + 6 T + 73 T^{2} )^{2} $)($ ( 1 - 6 T + 73 T^{2} )^{2} $)($ ( 1 + 14 T + 73 T^{2} )^{4} $)($ ( 1 + 2 T + 73 T^{2} )^{4} $)($ ( 1 - 8 T + 73 T^{2} )^{4} $)($ ( 1 + 16 T + 73 T^{2} )^{4} $)($ ( 1 - 16 T + 73 T^{2} )^{4} $)($ ( 1 - 8 T + 73 T^{2} )^{4} $)($ ( 1 + 13 T + 73 T^{2} )^{2} $)($ ( 1 + 13 T + 73 T^{2} )^{2} $)($ ( 1 + 13 T + 73 T^{2} )^{2} $)($ ( 1 + 13 T + 73 T^{2} )^{2} $)($ ( 1 + 17 T + 441 T^{2} + 4824 T^{3} + 68238 T^{4} + 520146 T^{5} + 4981374 T^{6} + 25707096 T^{7} + 171556497 T^{8} + 482770097 T^{9} + 2073071593 T^{10} )^{2} $)($ ( 1 + 17 T + 441 T^{2} + 4824 T^{3} + 68238 T^{4} + 520146 T^{5} + 4981374 T^{6} + 25707096 T^{7} + 171556497 T^{8} + 482770097 T^{9} + 2073071593 T^{10} )^{2} $)($ ( 1 + 17 T + 441 T^{2} + 4824 T^{3} + 68238 T^{4} + 520146 T^{5} + 4981374 T^{6} + 25707096 T^{7} + 171556497 T^{8} + 482770097 T^{9} + 2073071593 T^{10} )^{2} $)($ ( 1 + 17 T + 441 T^{2} + 4824 T^{3} + 68238 T^{4} + 520146 T^{5} + 4981374 T^{6} + 25707096 T^{7} + 171556497 T^{8} + 482770097 T^{9} + 2073071593 T^{10} )^{2} $)($ ( 1 - 30 T + 663 T^{2} - 10462 T^{3} + 137751 T^{4} - 1485216 T^{5} + 13863318 T^{6} - 108420768 T^{7} + 734075079 T^{8} - 4069895854 T^{9} + 18828033783 T^{10} - 62192147790 T^{11} + 151334226289 T^{12} )^{2} $)($ ( 1 - 30 T + 663 T^{2} - 10462 T^{3} + 137751 T^{4} - 1485216 T^{5} + 13863318 T^{6} - 108420768 T^{7} + 734075079 T^{8} - 4069895854 T^{9} + 18828033783 T^{10} - 62192147790 T^{11} + 151334226289 T^{12} )^{2} $)($ ( 1 - 30 T + 663 T^{2} - 10462 T^{3} + 137751 T^{4} - 1485216 T^{5} + 13863318 T^{6} - 108420768 T^{7} + 734075079 T^{8} - 4069895854 T^{9} + 18828033783 T^{10} - 62192147790 T^{11} + 151334226289 T^{12} )^{2} $)($ ( 1 - 30 T + 663 T^{2} - 10462 T^{3} + 137751 T^{4} - 1485216 T^{5} + 13863318 T^{6} - 108420768 T^{7} + 734075079 T^{8} - 4069895854 T^{9} + 18828033783 T^{10} - 62192147790 T^{11} + 151334226289 T^{12} )^{2} $)($ 1 - 130 T^{2} + 5329 T^{4} $)($ 1 - 130 T^{2} + 5329 T^{4} $)($ 1 - 328 T^{2} + 45404 T^{4} - 3734648 T^{6} + 259745542 T^{8} - 19901939192 T^{10} + 1289393734364 T^{12} - 49637626222792 T^{14} + 806460091894081 T^{16} $)($ ( 1 - 228 T^{2} + 23206 T^{4} - 1215012 T^{6} + 28398241 T^{8} )^{2} $)($ ( 1 - 228 T^{2} + 23206 T^{4} - 1215012 T^{6} + 28398241 T^{8} )^{2} $)($ 1 - 328 T^{2} + 45404 T^{4} - 3734648 T^{6} + 259745542 T^{8} - 19901939192 T^{10} + 1289393734364 T^{12} - 49637626222792 T^{14} + 806460091894081 T^{16} $)($ ( 1 - 408 T^{2} + 80156 T^{4} - 9970856 T^{6} + 862104454 T^{8} - 53134691624 T^{10} + 2276289405596 T^{12} - 61744364325912 T^{14} + 806460091894081 T^{16} )^{2} $)($ ( 1 - 408 T^{2} + 80156 T^{4} - 9970856 T^{6} + 862104454 T^{8} - 53134691624 T^{10} + 2276289405596 T^{12} - 61744364325912 T^{14} + 806460091894081 T^{16} )^{2} $)($ ( 1 - 5 T + 73 T^{2} )^{4} $)($ ( 1 - 5 T + 73 T^{2} )^{4} $)($ ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{4} $)($ ( 1 + 4 T + 144 T^{2} + 292 T^{3} + 5329 T^{4} )^{8} $)($ ( 1 + 8 T + 156 T^{2} + 584 T^{3} + 5329 T^{4} )^{8} $)($ ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} $)($ ( 1 + 3 T + 73 T^{2} )^{4} $)($ ( 1 + 3 T + 73 T^{2} )^{4} $)($ ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} $)($ ( 1 - 2 T - 146 T^{3} + 5329 T^{4} )^{8} $)($ ( 1 - 12 T + 176 T^{2} - 876 T^{3} + 5329 T^{4} )^{8} $)($ ( 1 - 14 T + 98 T^{2} - 1022 T^{3} + 5329 T^{4} )^{2} $)($ 1 + 32 T + 512 T^{2} + 7008 T^{3} + 95708 T^{4} + 1109024 T^{5} + 11042304 T^{6} + 107800160 T^{7} + 989395590 T^{8} + 7869411680 T^{9} + 58844438016 T^{10} + 431429189408 T^{11} + 2717938849628 T^{12} + 14528085723744 T^{13} + 77483123859968 T^{14} + 353516752611104 T^{15} + 806460091894081 T^{16} $)
$79$	($ 1 + 10 T + 79 T^{2} $)($ 1 - 10 T + 79 T^{2} $)($ 1 + 8 T + 79 T^{2} $)($ 1 - 14 T + 79 T^{2} $)($ 1 - 14 T + 79 T^{2} $)($ 1 + 14 T + 79 T^{2} $)($ 1 + 14 T + 79 T^{2} $)($ 1 - 8 T + 79 T^{2} $)($ 1 - 6 T + 79 T^{2} $)($ 1 - 6 T + 79 T^{2} $)($ 1 + 6 T + 79 T^{2} $)($ 1 + 6 T + 79 T^{2} $)($ 1 + 8 T + 79 T^{2} $)($ 1 - 14 T + 79 T^{2} $)($ 1 - 14 T + 79 T^{2} $)($ 1 + 14 T + 79 T^{2} $)($ 1 + 14 T + 79 T^{2} $)($ 1 - 8 T + 79 T^{2} $)($ 1 + 10 T + 79 T^{2} $)($ 1 - 10 T + 79 T^{2} $)($ 1 - 164 T^{2} + 18054 T^{4} - 1023524 T^{6} + 38950081 T^{8} $)($ 1 - 164 T^{2} + 18054 T^{4} - 1023524 T^{6} + 38950081 T^{8} $)($ 1 - 164 T^{2} + 18054 T^{4} - 1023524 T^{6} + 38950081 T^{8} $)($ 1 - 164 T^{2} + 18054 T^{4} - 1023524 T^{6} + 38950081 T^{8} $)($ ( 1 - 4 T + 79 T^{2} )^{2} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 4 T + 79 T^{2} )^{2} $)($ ( 1 - 58 T^{2} + 6241 T^{4} )^{2} $)($ ( 1 + 86 T^{2} + 6241 T^{4} )^{2} $)($ ( 1 - 150 T^{2} + 6241 T^{4} )^{2} $)($ ( 1 - 79 T^{2} )^{4} $)($ ( 1 - 79 T^{2} )^{4} $)($ ( 1 - 150 T^{2} + 6241 T^{4} )^{2} $)($ 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} $)($ 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} $)($ 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} $)($ 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} $)($ 1 + 6 T - 71 T^{2} + 1534 T^{3} + 10236 T^{4} - 156164 T^{5} + 767899 T^{6} + 10545042 T^{7} - 131457605 T^{8} - 414891970 T^{9} + 8190118668 T^{10} - 32776465630 T^{11} - 820426912805 T^{12} + 5199116962638 T^{13} + 29909728249819 T^{14} - 480525435493436 T^{15} + 2488243194712956 T^{16} + 29458796384767906 T^{17} - 107714725503365831 T^{18} + 719109575895709914 T^{19} + 9468276082626847201 T^{20} $)($ 1 - 6 T - 71 T^{2} - 1534 T^{3} + 10236 T^{4} + 156164 T^{5} + 767899 T^{6} - 10545042 T^{7} - 131457605 T^{8} + 414891970 T^{9} + 8190118668 T^{10} + 32776465630 T^{11} - 820426912805 T^{12} - 5199116962638 T^{13} + 29909728249819 T^{14} + 480525435493436 T^{15} + 2488243194712956 T^{16} - 29458796384767906 T^{17} - 107714725503365831 T^{18} - 719109575895709914 T^{19} + 9468276082626847201 T^{20} $)($ 1 + 6 T - 71 T^{2} + 1534 T^{3} + 10236 T^{4} - 156164 T^{5} + 767899 T^{6} + 10545042 T^{7} - 131457605 T^{8} - 414891970 T^{9} + 8190118668 T^{10} - 32776465630 T^{11} - 820426912805 T^{12} + 5199116962638 T^{13} + 29909728249819 T^{14} - 480525435493436 T^{15} + 2488243194712956 T^{16} + 29458796384767906 T^{17} - 107714725503365831 T^{18} + 719109575895709914 T^{19} + 9468276082626847201 T^{20} $)($ 1 - 6 T - 71 T^{2} - 1534 T^{3} + 10236 T^{4} + 156164 T^{5} + 767899 T^{6} - 10545042 T^{7} - 131457605 T^{8} + 414891970 T^{9} + 8190118668 T^{10} + 32776465630 T^{11} - 820426912805 T^{12} - 5199116962638 T^{13} + 29909728249819 T^{14} + 480525435493436 T^{15} + 2488243194712956 T^{16} - 29458796384767906 T^{17} - 107714725503365831 T^{18} - 719109575895709914 T^{19} + 9468276082626847201 T^{20} $)($ 1 + 16 T - 150 T^{2} - 1036 T^{3} + 48534 T^{4} + 92602 T^{5} - 4789796 T^{6} + 25294038 T^{7} + 421747950 T^{8} - 2410897964 T^{9} - 6318240602 T^{10} + 147604045356 T^{11} + 127084960154 T^{12} + 11660719583124 T^{13} - 39432139597082 T^{14} - 1188666721272596 T^{15} + 16427116814083950 T^{16} + 77831181484449162 T^{17} - 1164339322104663716 T^{18} + 1778320379936295718 T^{19} + 73631358980005031574 T^{20} - $$12\!\cdots\!84$$ T^{21} - $$14\!\cdots\!50$$ T^{22} + $$11\!\cdots\!64$$ T^{23} + $$59\!\cdots\!41$$ T^{24} $)($ 1 - 16 T - 150 T^{2} + 1036 T^{3} + 48534 T^{4} - 92602 T^{5} - 4789796 T^{6} - 25294038 T^{7} + 421747950 T^{8} + 2410897964 T^{9} - 6318240602 T^{10} - 147604045356 T^{11} + 127084960154 T^{12} - 11660719583124 T^{13} - 39432139597082 T^{14} + 1188666721272596 T^{15} + 16427116814083950 T^{16} - 77831181484449162 T^{17} - 1164339322104663716 T^{18} - 1778320379936295718 T^{19} + 73631358980005031574 T^{20} + $$12\!\cdots\!84$$ T^{21} - $$14\!\cdots\!50$$ T^{22} - $$11\!\cdots\!64$$ T^{23} + $$59\!\cdots\!41$$ T^{24} $)($ 1 - 16 T - 150 T^{2} + 1036 T^{3} + 48534 T^{4} - 92602 T^{5} - 4789796 T^{6} - 25294038 T^{7} + 421747950 T^{8} + 2410897964 T^{9} - 6318240602 T^{10} - 147604045356 T^{11} + 127084960154 T^{12} - 11660719583124 T^{13} - 39432139597082 T^{14} + 1188666721272596 T^{15} + 16427116814083950 T^{16} - 77831181484449162 T^{17} - 1164339322104663716 T^{18} - 1778320379936295718 T^{19} + 73631358980005031574 T^{20} + $$12\!\cdots\!84$$ T^{21} - $$14\!\cdots\!50$$ T^{22} - $$11\!\cdots\!64$$ T^{23} + $$59\!\cdots\!41$$ T^{24} $)($ 1 + 16 T - 150 T^{2} - 1036 T^{3} + 48534 T^{4} + 92602 T^{5} - 4789796 T^{6} + 25294038 T^{7} + 421747950 T^{8} - 2410897964 T^{9} - 6318240602 T^{10} + 147604045356 T^{11} + 127084960154 T^{12} + 11660719583124 T^{13} - 39432139597082 T^{14} - 1188666721272596 T^{15} + 16427116814083950 T^{16} + 77831181484449162 T^{17} - 1164339322104663716 T^{18} + 1778320379936295718 T^{19} + 73631358980005031574 T^{20} - $$12\!\cdots\!84$$ T^{21} - $$14\!\cdots\!50$$ T^{22} + $$11\!\cdots\!64$$ T^{23} + $$59\!\cdots\!41$$ T^{24} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 79 T^{2} )^{2} $)($ ( 1 + 12 T + 148 T^{2} - 44 T^{3} + 794 T^{4} - 3476 T^{5} + 923668 T^{6} + 5916468 T^{7} + 38950081 T^{8} )^{2} $)($ ( 1 + 14 T + 200 T^{2} + 1106 T^{3} + 6241 T^{4} )^{4} $)($ ( 1 - 14 T + 200 T^{2} - 1106 T^{3} + 6241 T^{4} )^{4} $)($ ( 1 - 12 T + 148 T^{2} + 44 T^{3} + 794 T^{4} + 3476 T^{5} + 923668 T^{6} - 5916468 T^{7} + 38950081 T^{8} )^{2} $)($ ( 1 - 408 T^{2} + 84004 T^{4} - 11101576 T^{6} + 1033756678 T^{8} - 69284935816 T^{10} + 3271962604324 T^{12} - 99179681852568 T^{14} + 1517108809906561 T^{16} )^{2} $)($ ( 1 - 408 T^{2} + 84004 T^{4} - 11101576 T^{6} + 1033756678 T^{8} - 69284935816 T^{10} + 3271962604324 T^{12} - 99179681852568 T^{14} + 1517108809906561 T^{16} )^{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 + 79 T^{2} + 6241 T^{4} )^{4} $)($ ( 1 + 178 T^{2} + 11767 T^{4} + 1323430 T^{6} + 159996964 T^{8} + 8259526630 T^{10} + 458325603127 T^{12} + 43269567082738 T^{14} + 1517108809906561 T^{16} )^{2} $)($ ( 1 + 118 T^{2} - 1985 T^{4} + 404386 T^{6} + 127246516 T^{8} + 2523773026 T^{10} - 77315910785 T^{12} + 28684319751478 T^{14} + 1517108809906561 T^{16} )^{2} $)($ ( 1 - 79 T^{2} + 6241 T^{4} )^{2} $)($ ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} $)($ ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} $)($ ( 1 - 79 T^{2} + 6241 T^{4} )^{2} $)($ ( 1 - 244 T^{2} + 32845 T^{4} - 3466996 T^{6} + 301895224 T^{8} - 21637522036 T^{10} + 1279315410445 T^{12} - 59313339147124 T^{14} + 1517108809906561 T^{16} )^{2} $)($ ( 1 + 26 T^{2} - 5441 T^{4} - 165490 T^{6} - 5751308 T^{8} - 1032823090 T^{10} - 211927390721 T^{12} + 6320273843546 T^{14} + 1517108809906561 T^{16} )^{2} $)($ ( 1 - 122 T^{2} + 6241 T^{4} )^{2} $)($ 1 - 120 T^{2} + 10940 T^{4} + 170552 T^{6} - 23710074 T^{8} + 1064415032 T^{10} + 426113886140 T^{12} - 29170494662520 T^{14} + 1517108809906561 T^{16} $)
$83$	($ 1 - 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 - 6 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 + 6 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 + 6 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ 1 - 6 T + 83 T^{2} $)($ 1 + 12 T + 83 T^{2} $)($ 1 - 12 T + 83 T^{2} $)($ ( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} )^{2} $)($ ( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} )^{2} $)($ ( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} )^{2} $)($ ( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} )^{2} $)($ 1 - 150 T^{2} + 6889 T^{4} $)($ ( 1 - 83 T^{2} )^{2} $)($ ( 1 - 18 T + 83 T^{2} )( 1 + 18 T + 83 T^{2} ) $)($ ( 1 - 83 T^{2} )^{2} $)($ ( 1 - 83 T^{2} )^{2} $)($ 1 - 150 T^{2} + 6889 T^{4} $)($ ( 1 - 134 T^{2} + 6889 T^{4} )^{2} $)($ ( 1 - 150 T^{2} + 6889 T^{4} )^{2} $)($ ( 1 - 22 T^{2} + 6889 T^{4} )^{2} $)($ ( 1 - 83 T^{2} )^{4} $)($ ( 1 - 83 T^{2} )^{4} $)($ ( 1 - 22 T^{2} + 6889 T^{4} )^{2} $)($ 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} $)($ 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} $)($ 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} $)($ 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} $)($ 1 + 12 T - 253 T^{2} - 2040 T^{3} + 53448 T^{4} + 232746 T^{5} - 7884123 T^{6} - 17386056 T^{7} + 891611235 T^{8} + 597479826 T^{9} - 81429796884 T^{10} + 49590825558 T^{11} + 6142309797915 T^{12} - 9941120802072 T^{13} - 374167240137483 T^{14} + 916795953495678 T^{15} + 17474309075826312 T^{16} - 55357544018839080 T^{17} - 569829934731177373 T^{18} + 2243283063210484836 T^{19} + 15516041187205853449 T^{20} $)($ 1 + 12 T - 253 T^{2} - 2040 T^{3} + 53448 T^{4} + 232746 T^{5} - 7884123 T^{6} - 17386056 T^{7} + 891611235 T^{8} + 597479826 T^{9} - 81429796884 T^{10} + 49590825558 T^{11} + 6142309797915 T^{12} - 9941120802072 T^{13} - 374167240137483 T^{14} + 916795953495678 T^{15} + 17474309075826312 T^{16} - 55357544018839080 T^{17} - 569829934731177373 T^{18} + 2243283063210484836 T^{19} + 15516041187205853449 T^{20} $)($ 1 - 12 T - 253 T^{2} + 2040 T^{3} + 53448 T^{4} - 232746 T^{5} - 7884123 T^{6} + 17386056 T^{7} + 891611235 T^{8} - 597479826 T^{9} - 81429796884 T^{10} - 49590825558 T^{11} + 6142309797915 T^{12} + 9941120802072 T^{13} - 374167240137483 T^{14} - 916795953495678 T^{15} + 17474309075826312 T^{16} + 55357544018839080 T^{17} - 569829934731177373 T^{18} - 2243283063210484836 T^{19} + 15516041187205853449 T^{20} $)($ 1 - 12 T - 253 T^{2} + 2040 T^{3} + 53448 T^{4} - 232746 T^{5} - 7884123 T^{6} + 17386056 T^{7} + 891611235 T^{8} - 597479826 T^{9} - 81429796884 T^{10} - 49590825558 T^{11} + 6142309797915 T^{12} + 9941120802072 T^{13} - 374167240137483 T^{14} - 916795953495678 T^{15} + 17474309075826312 T^{16} + 55357544018839080 T^{17} - 569829934731177373 T^{18} - 2243283063210484836 T^{19} + 15516041187205853449 T^{20} $)($ 1 + 24 T + 36 T^{2} - 4140 T^{3} - 28128 T^{4} + 434994 T^{5} + 5173688 T^{6} - 26364546 T^{7} - 558947316 T^{8} + 862732332 T^{9} + 46488493284 T^{10} + 3735835668 T^{11} - 3451975469358 T^{12} + 310074360444 T^{13} + 320259230233476 T^{14} + 493299131917284 T^{15} - 26526701144816436 T^{16} - 103851018228243078 T^{17} + 1691487486414714872 T^{18} + 11804019364181807238 T^{19} - 63352475905606945248 T^{20} - $$77\!\cdots\!20$$ T^{21} + $$55\!\cdots\!64$$ T^{22} + $$30\!\cdots\!08$$ T^{23} + $$10\!\cdots\!61$$ T^{24} $)($ 1 + 24 T + 36 T^{2} - 4140 T^{3} - 28128 T^{4} + 434994 T^{5} + 5173688 T^{6} - 26364546 T^{7} - 558947316 T^{8} + 862732332 T^{9} + 46488493284 T^{10} + 3735835668 T^{11} - 3451975469358 T^{12} + 310074360444 T^{13} + 320259230233476 T^{14} + 493299131917284 T^{15} - 26526701144816436 T^{16} - 103851018228243078 T^{17} + 1691487486414714872 T^{18} + 11804019364181807238 T^{19} - 63352475905606945248 T^{20} - $$77\!\cdots\!20$$ T^{21} + $$55\!\cdots\!64$$ T^{22} + $$30\!\cdots\!08$$ T^{23} + $$10\!\cdots\!61$$ T^{24} $)($ 1 - 24 T + 36 T^{2} + 4140 T^{3} - 28128 T^{4} - 434994 T^{5} + 5173688 T^{6} + 26364546 T^{7} - 558947316 T^{8} - 862732332 T^{9} + 46488493284 T^{10} - 3735835668 T^{11} - 3451975469358 T^{12} - 310074360444 T^{13} + 320259230233476 T^{14} - 493299131917284 T^{15} - 26526701144816436 T^{16} + 103851018228243078 T^{17} + 1691487486414714872 T^{18} - 11804019364181807238 T^{19} - 63352475905606945248 T^{20} + $$77\!\cdots\!20$$ T^{21} + $$55\!\cdots\!64$$ T^{22} - $$30\!\cdots\!08$$ T^{23} + $$10\!\cdots\!61$$ T^{24} $)($ 1 - 24 T + 36 T^{2} + 4140 T^{3} - 28128 T^{4} - 434994 T^{5} + 5173688 T^{6} + 26364546 T^{7} - 558947316 T^{8} - 862732332 T^{9} + 46488493284 T^{10} - 3735835668 T^{11} - 3451975469358 T^{12} - 310074360444 T^{13} + 320259230233476 T^{14} - 493299131917284 T^{15} - 26526701144816436 T^{16} + 103851018228243078 T^{17} + 1691487486414714872 T^{18} - 11804019364181807238 T^{19} - 63352475905606945248 T^{20} + $$77\!\cdots\!20$$ T^{21} + $$55\!\cdots\!64$$ T^{22} - $$30\!\cdots\!08$$ T^{23} + $$10\!\cdots\!61$$ T^{24} $)($ 1 - 2 T + 2 T^{2} - 166 T^{3} + 6889 T^{4} $)($ 1 + 2 T + 2 T^{2} + 166 T^{3} + 6889 T^{4} $)($ 1 + 40 T + 800 T^{2} + 11000 T^{3} + 122436 T^{4} + 1297720 T^{5} + 14460000 T^{6} + 161033000 T^{7} + 1597489574 T^{8} + 13365739000 T^{9} + 99614940000 T^{10} + 742019425640 T^{11} + 5810606989956 T^{12} + 43329447073000 T^{13} + 261552298695200 T^{14} + 1085442039585080 T^{15} + 2252292232139041 T^{16} $)($ 1 + 20100 T^{4} + 185294374 T^{8} + 953912252100 T^{12} + 2252292232139041 T^{16} $)($ 1 + 20100 T^{4} + 185294374 T^{8} + 953912252100 T^{12} + 2252292232139041 T^{16} $)($ 1 - 40 T + 800 T^{2} - 11000 T^{3} + 122436 T^{4} - 1297720 T^{5} + 14460000 T^{6} - 161033000 T^{7} + 1597489574 T^{8} - 13365739000 T^{9} + 99614940000 T^{10} - 742019425640 T^{11} + 5810606989956 T^{12} - 43329447073000 T^{13} + 261552298695200 T^{14} - 1085442039585080 T^{15} + 2252292232139041 T^{16} $)($ 1 - 5432 T^{4} + 103273180 T^{8} - 984945914120 T^{12} + 5200099763862790 T^{16} - 46743879359945392520 T^{20} + $$23\!\cdots\!80$$ T^{24} - $$58\!\cdots\!52$$ T^{28} + $$50\!\cdots\!81$$ T^{32} $)($ 1 - 5432 T^{4} + 103273180 T^{8} - 984945914120 T^{12} + 5200099763862790 T^{16} - 46743879359945392520 T^{20} + $$23\!\cdots\!80$$ T^{24} - $$58\!\cdots\!52$$ T^{28} + $$50\!\cdots\!81$$ T^{32} $)($ ( 1 + 18 T + 191 T^{2} + 1494 T^{3} + 6889 T^{4} )^{2} $)($ ( 1 - 18 T + 191 T^{2} - 1494 T^{3} + 6889 T^{4} )^{2} $)($ ( 1 - 158 T^{2} + 18075 T^{4} - 1088462 T^{6} + 47458321 T^{8} )^{2} $)($ ( 1 + 278 T^{2} + 44671 T^{4} + 5236130 T^{6} + 483739972 T^{8} + 36071699570 T^{10} + 2120010657391 T^{12} + 90889423796582 T^{14} + 2252292232139041 T^{16} )^{2} $)($ ( 1 + 314 T^{2} + 60175 T^{4} + 7737902 T^{6} + 749487076 T^{8} + 53306406878 T^{10} + 2855804466175 T^{12} + 102659277237866 T^{14} + 2252292232139041 T^{16} )^{2} $)($ ( 1 - 18 T + 241 T^{2} - 1494 T^{3} + 6889 T^{4} )( 1 + 18 T + 241 T^{2} + 1494 T^{3} + 6889 T^{4} ) $)($ 1 - 90 T^{2} + 1211 T^{4} - 620010 T^{6} + 47458321 T^{8} $)($ 1 - 90 T^{2} + 1211 T^{4} - 620010 T^{6} + 47458321 T^{8} $)($ ( 1 - 18 T + 241 T^{2} - 1494 T^{3} + 6889 T^{4} )( 1 + 18 T + 241 T^{2} + 1494 T^{3} + 6889 T^{4} ) $)($ ( 1 + 184 T^{2} + 11761 T^{4} + 1530328 T^{6} + 207496720 T^{8} + 10542429592 T^{10} + 558157313281 T^{12} + 60157028699896 T^{14} + 2252292232139041 T^{16} )^{2} $)($ ( 1 + 278 T^{2} + 44671 T^{4} + 5236130 T^{6} + 483739972 T^{8} + 36071699570 T^{10} + 2120010657391 T^{12} + 90889423796582 T^{14} + 2252292232139041 T^{16} )^{2} $)($ 1 - 16 T + 114 T^{2} - 792 T^{3} + 6370 T^{4} - 65736 T^{5} + 785346 T^{6} - 9148592 T^{7} + 47458321 T^{8} $)($ 1 - 20 T + 184 T^{2} - 2684 T^{3} + 37008 T^{4} - 337916 T^{5} + 3624872 T^{6} - 38211284 T^{7} + 335969678 T^{8} - 3171536572 T^{9} + 24971743208 T^{10} - 193215975892 T^{11} + 1756337543568 T^{12} - 10572385085812 T^{13} + 60157028699896 T^{14} - 542721019792540 T^{15} + 2252292232139041 T^{16} $)
$89$	($ 1 - 14 T + 89 T^{2} $)($ 1 - 14 T + 89 T^{2} $)($ 1 - 2 T + 89 T^{2} $)($ 1 + 8 T + 89 T^{2} $)($ 1 - 8 T + 89 T^{2} $)($ 1 + 8 T + 89 T^{2} $)($ 1 - 8 T + 89 T^{2} $)($ 1 - 2 T + 89 T^{2} $)($ 1 + 2 T + 89 T^{2} $)($ 1 + 2 T + 89 T^{2} $)($ 1 + 2 T + 89 T^{2} $)($ 1 + 2 T + 89 T^{2} $)($ 1 - 2 T + 89 T^{2} $)($ 1 - 8 T + 89 T^{2} $)($ 1 + 8 T + 89 T^{2} $)($ 1 - 8 T + 89 T^{2} $)($ 1 + 8 T + 89 T^{2} $)($ 1 - 2 T + 89 T^{2} $)($ 1 - 14 T + 89 T^{2} $)($ 1 - 14 T + 89 T^{2} $)($ 1 - 192 T^{2} + 20450 T^{4} - 1520832 T^{6} + 62742241 T^{8} $)($ 1 - 192 T^{2} + 20450 T^{4} - 1520832 T^{6} + 62742241 T^{8} $)($ 1 - 192 T^{2} + 20450 T^{4} - 1520832 T^{6} + 62742241 T^{8} $)($ 1 - 192 T^{2} + 20450 T^{4} - 1520832 T^{6} + 62742241 T^{8} $)($ ( 1 + 6 T + 89 T^{2} )^{2} $)($ ( 1 + 16 T + 89 T^{2} )^{2} $)($ ( 1 - 18 T + 89 T^{2} )^{2} $)($ ( 1 - 10 T + 89 T^{2} )^{2} $)($ ( 1 - 16 T + 89 T^{2} )^{2} $)($ ( 1 + 6 T + 89 T^{2} )^{2} $)($ ( 1 + 89 T^{2} )^{4} $)($ ( 1 + 6 T + 89 T^{2} )^{4} $)($ ( 1 + 64 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 - 160 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 + 160 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 + 64 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 - 10 T + 89 T^{2} )^{2} $)($ ( 1 - 10 T + 89 T^{2} )^{2} $)($ ( 1 - 10 T + 89 T^{2} )^{2} $)($ ( 1 - 10 T + 89 T^{2} )^{2} $)($ ( 1 - 22 T + 365 T^{2} - 4444 T^{3} + 50454 T^{4} - 469972 T^{5} + 4490406 T^{6} - 35200924 T^{7} + 257313685 T^{8} - 1380329302 T^{9} + 5584059449 T^{10} )^{2} $)($ ( 1 - 22 T + 365 T^{2} - 4444 T^{3} + 50454 T^{4} - 469972 T^{5} + 4490406 T^{6} - 35200924 T^{7} + 257313685 T^{8} - 1380329302 T^{9} + 5584059449 T^{10} )^{2} $)($ ( 1 - 22 T + 365 T^{2} - 4444 T^{3} + 50454 T^{4} - 469972 T^{5} + 4490406 T^{6} - 35200924 T^{7} + 257313685 T^{8} - 1380329302 T^{9} + 5584059449 T^{10} )^{2} $)($ ( 1 - 22 T + 365 T^{2} - 4444 T^{3} + 50454 T^{4} - 469972 T^{5} + 4490406 T^{6} - 35200924 T^{7} + 257313685 T^{8} - 1380329302 T^{9} + 5584059449 T^{10} )^{2} $)($ ( 1 + 24 T + 690 T^{2} + 10612 T^{3} + 171027 T^{4} + 1875108 T^{5} + 20918900 T^{6} + 166884612 T^{7} + 1354704867 T^{8} + 7481131028 T^{9} + 43292146290 T^{10} + 134017426776 T^{11} + 496981290961 T^{12} )^{2} $)($ ( 1 + 24 T + 690 T^{2} + 10612 T^{3} + 171027 T^{4} + 1875108 T^{5} + 20918900 T^{6} + 166884612 T^{7} + 1354704867 T^{8} + 7481131028 T^{9} + 43292146290 T^{10} + 134017426776 T^{11} + 496981290961 T^{12} )^{2} $)($ ( 1 + 24 T + 690 T^{2} + 10612 T^{3} + 171027 T^{4} + 1875108 T^{5} + 20918900 T^{6} + 166884612 T^{7} + 1354704867 T^{8} + 7481131028 T^{9} + 43292146290 T^{10} + 134017426776 T^{11} + 496981290961 T^{12} )^{2} $)($ ( 1 + 24 T + 690 T^{2} + 10612 T^{3} + 171027 T^{4} + 1875108 T^{5} + 20918900 T^{6} + 166884612 T^{7} + 1354704867 T^{8} + 7481131028 T^{9} + 43292146290 T^{10} + 134017426776 T^{11} + 496981290961 T^{12} )^{2} $)($ 1 - 162 T^{2} + 7921 T^{4} $)($ 1 - 162 T^{2} + 7921 T^{4} $)($ 1 - 248 T^{2} + 36316 T^{4} - 4626504 T^{6} + 476004998 T^{8} - 36646538184 T^{10} + 2278547224156 T^{12} - 123251360158328 T^{14} + 3936588805702081 T^{16} $)($ ( 1 - 260 T^{2} + 30950 T^{4} - 2059460 T^{6} + 62742241 T^{8} )^{2} $)($ ( 1 - 260 T^{2} + 30950 T^{4} - 2059460 T^{6} + 62742241 T^{8} )^{2} $)($ 1 - 248 T^{2} + 36316 T^{4} - 4626504 T^{6} + 476004998 T^{8} - 36646538184 T^{10} + 2278547224156 T^{12} - 123251360158328 T^{14} + 3936588805702081 T^{16} $)($ ( 1 + 512 T^{2} + 123588 T^{4} + 18716160 T^{6} + 1970104134 T^{8} + 148250703360 T^{10} + 7754188080708 T^{12} + 254454420972032 T^{14} + 3936588805702081 T^{16} )^{2} $)($ ( 1 + 512 T^{2} + 123588 T^{4} + 18716160 T^{6} + 1970104134 T^{8} + 148250703360 T^{10} + 7754188080708 T^{12} + 254454420972032 T^{14} + 3936588805702081 T^{16} )^{2} $)($ ( 1 + 14 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 + 14 T^{2} + 7921 T^{4} )^{2} $)($ ( 1 - 18 T + 89 T^{2} )^{4}( 1 + 18 T + 89 T^{2} )^{4} $)($ ( 1 - 160 T^{2} + 12642 T^{4} - 1267360 T^{6} + 62742241 T^{8} )^{4} $)($ ( 1 - 104 T^{2} + 10770 T^{4} - 823784 T^{6} + 62742241 T^{8} )^{4} $)($ ( 1 + 18 T + 89 T^{2} )^{4} $)($ ( 1 - 6 T + 89 T^{2} )^{4} $)($ ( 1 - 6 T + 89 T^{2} )^{4} $)($ ( 1 + 18 T + 89 T^{2} )^{4} $)($ ( 1 - 6 T + 160 T^{2} - 534 T^{3} + 7921 T^{4} )^{8} $)($ ( 1 - 4 T + 176 T^{2} - 356 T^{3} + 7921 T^{4} )^{8} $)($ 1 + 12 T + 72 T^{2} + 516 T^{3} + 1582 T^{4} + 45924 T^{5} + 570312 T^{6} + 8459628 T^{7} + 62742241 T^{8} $)($ 1 - 16 T + 128 T^{2} - 2096 T^{3} + 18652 T^{4} + 22640 T^{5} - 553088 T^{6} + 12396240 T^{7} - 224072442 T^{8} + 1103265360 T^{9} - 4381010048 T^{10} + 15960498160 T^{11} + 1170268279132 T^{12} - 11704188605104 T^{13} + 63613605243008 T^{14} - 707701358328464 T^{15} + 3936588805702081 T^{16} $)
$97$	($ 1 - 10 T + 97 T^{2} $)($ 1 - 10 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 6 T + 97 T^{2} $)($ 1 + 6 T + 97 T^{2} $)($ 1 + 6 T + 97 T^{2} $)($ 1 + 6 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 + 2 T + 97 T^{2} $)($ 1 - 10 T + 97 T^{2} $)($ 1 - 10 T + 97 T^{2} $)($ ( 1 - 16 T + 226 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - 16 T + 226 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - 16 T + 226 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - 16 T + 226 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 + 2 T + 97 T^{2} )^{2} $)($ ( 1 - 18 T + 97 T^{2} )^{2} $)($ ( 1 + 10 T + 97 T^{2} )^{2} $)($ ( 1 + 18 T + 97 T^{2} )^{2} $)($ ( 1 - 18 T + 97 T^{2} )^{2} $)($ ( 1 + 2 T + 97 T^{2} )^{2} $)($ ( 1 - 2 T + 97 T^{2} )^{4} $)($ ( 1 - 14 T + 97 T^{2} )^{4} $)($ ( 1 + 97 T^{2} )^{4} $)($ ( 1 - 8 T + 97 T^{2} )^{4} $)($ ( 1 + 8 T + 97 T^{2} )^{4} $)($ ( 1 + 97 T^{2} )^{4} $)($ 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} $)($ 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} $)($ 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} $)($ 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} $)($ 1 - 27 T + 214 T^{2} + 115 T^{3} - 15534 T^{4} + 374911 T^{5} - 6022184 T^{6} + 37100679 T^{7} + 194591941 T^{8} - 4862046286 T^{9} + 49414074132 T^{10} - 471618489742 T^{11} + 1830915572869 T^{12} + 33860788004967 T^{13} - 533139619569704 T^{14} + 3219488323092127 T^{15} - 12939387124567086 T^{16} + 9291802714982995 T^{17} + 1677210789196669654 T^{18} - 20526238583673260859 T^{19} + 73742412689492826049 T^{20} $)($ 1 - 27 T + 214 T^{2} + 115 T^{3} - 15534 T^{4} + 374911 T^{5} - 6022184 T^{6} + 37100679 T^{7} + 194591941 T^{8} - 4862046286 T^{9} + 49414074132 T^{10} - 471618489742 T^{11} + 1830915572869 T^{12} + 33860788004967 T^{13} - 533139619569704 T^{14} + 3219488323092127 T^{15} - 12939387124567086 T^{16} + 9291802714982995 T^{17} + 1677210789196669654 T^{18} - 20526238583673260859 T^{19} + 73742412689492826049 T^{20} $)($ 1 - 27 T + 214 T^{2} + 115 T^{3} - 15534 T^{4} + 374911 T^{5} - 6022184 T^{6} + 37100679 T^{7} + 194591941 T^{8} - 4862046286 T^{9} + 49414074132 T^{10} - 471618489742 T^{11} + 1830915572869 T^{12} + 33860788004967 T^{13} - 533139619569704 T^{14} + 3219488323092127 T^{15} - 12939387124567086 T^{16} + 9291802714982995 T^{17} + 1677210789196669654 T^{18} - 20526238583673260859 T^{19} + 73742412689492826049 T^{20} $)($ 1 - 27 T + 214 T^{2} + 115 T^{3} - 15534 T^{4} + 374911 T^{5} - 6022184 T^{6} + 37100679 T^{7} + 194591941 T^{8} - 4862046286 T^{9} + 49414074132 T^{10} - 471618489742 T^{11} + 1830915572869 T^{12} + 33860788004967 T^{13} - 533139619569704 T^{14} + 3219488323092127 T^{15} - 12939387124567086 T^{16} + 9291802714982995 T^{17} + 1677210789196669654 T^{18} - 20526238583673260859 T^{19} + 73742412689492826049 T^{20} $)($ 1 + 14 T - 153 T^{2} - 2150 T^{3} + 12699 T^{4} + 84500 T^{5} - 1669976 T^{6} - 9414804 T^{7} + 97057365 T^{8} + 1065322190 T^{9} - 8753923919 T^{10} - 19649592630 T^{11} + 1679085585182 T^{12} - 1906010485110 T^{13} - 82365670153871 T^{14} + 972290799113870 T^{15} + 8592418739204565 T^{16} - 80848125400964628 T^{17} - 1391043256903311704 T^{18} + 6827455038400548500 T^{19} + 99527569214993027739 T^{20} - $$16\!\cdots\!50$$ T^{21} - $$11\!\cdots\!97$$ T^{22} + $$10\!\cdots\!42$$ T^{23} + $$69\!\cdots\!41$$ T^{24} $)($ 1 + 14 T - 153 T^{2} - 2150 T^{3} + 12699 T^{4} + 84500 T^{5} - 1669976 T^{6} - 9414804 T^{7} + 97057365 T^{8} + 1065322190 T^{9} - 8753923919 T^{10} - 19649592630 T^{11} + 1679085585182 T^{12} - 1906010485110 T^{13} - 82365670153871 T^{14} + 972290799113870 T^{15} + 8592418739204565 T^{16} - 80848125400964628 T^{17} - 1391043256903311704 T^{18} + 6827455038400548500 T^{19} + 99527569214993027739 T^{20} - $$16\!\cdots\!50$$ T^{21} - $$11\!\cdots\!97$$ T^{22} + $$10\!\cdots\!42$$ T^{23} + $$69\!\cdots\!41$$ T^{24} $)($ 1 + 14 T - 153 T^{2} - 2150 T^{3} + 12699 T^{4} + 84500 T^{5} - 1669976 T^{6} - 9414804 T^{7} + 97057365 T^{8} + 1065322190 T^{9} - 8753923919 T^{10} - 19649592630 T^{11} + 1679085585182 T^{12} - 1906010485110 T^{13} - 82365670153871 T^{14} + 972290799113870 T^{15} + 8592418739204565 T^{16} - 80848125400964628 T^{17} - 1391043256903311704 T^{18} + 6827455038400548500 T^{19} + 99527569214993027739 T^{20} - $$16\!\cdots\!50$$ T^{21} - $$11\!\cdots\!97$$ T^{22} + $$10\!\cdots\!42$$ T^{23} + $$69\!\cdots\!41$$ T^{24} $)($ 1 + 14 T - 153 T^{2} - 2150 T^{3} + 12699 T^{4} + 84500 T^{5} - 1669976 T^{6} - 9414804 T^{7} + 97057365 T^{8} + 1065322190 T^{9} - 8753923919 T^{10} - 19649592630 T^{11} + 1679085585182 T^{12} - 1906010485110 T^{13} - 82365670153871 T^{14} + 972290799113870 T^{15} + 8592418739204565 T^{16} - 80848125400964628 T^{17} - 1391043256903311704 T^{18} + 6827455038400548500 T^{19} + 99527569214993027739 T^{20} - $$16\!\cdots\!50$$ T^{21} - $$11\!\cdots\!97$$ T^{22} + $$10\!\cdots\!42$$ T^{23} + $$69\!\cdots\!41$$ T^{24} $)($ ( 1 + 2 T + 97 T^{2} )^{2} $)($ ( 1 + 2 T + 97 T^{2} )^{2} $)($ ( 1 + 164 T^{2} + 768 T^{3} + 13510 T^{4} + 74496 T^{5} + 1543076 T^{6} + 88529281 T^{8} )^{2} $)($ ( 1 + 82 T^{2} + 9409 T^{4} )^{4} $)($ ( 1 + 82 T^{2} + 9409 T^{4} )^{4} $)($ ( 1 + 164 T^{2} + 768 T^{3} + 13510 T^{4} + 74496 T^{5} + 1543076 T^{6} + 88529281 T^{8} )^{2} $)($ ( 1 + 316 T^{2} - 256 T^{3} + 42310 T^{4} - 24832 T^{5} + 2973244 T^{6} + 88529281 T^{8} )^{4} $)($ ( 1 + 316 T^{2} - 256 T^{3} + 42310 T^{4} - 24832 T^{5} + 2973244 T^{6} + 88529281 T^{8} )^{4} $)($ ( 1 - T - 96 T^{2} - 97 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - T - 96 T^{2} - 97 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - 10 T + 97 T^{2} )^{4}( 1 + 10 T + 3 T^{2} + 970 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 + 2 T - 185 T^{2} - 10 T^{3} + 25924 T^{4} - 970 T^{5} - 1740665 T^{6} + 1825346 T^{7} + 88529281 T^{8} )^{4} $)($ ( 1 - 2 T - 41 T^{2} + 298 T^{3} - 7772 T^{4} + 28906 T^{5} - 385769 T^{6} - 1825346 T^{7} + 88529281 T^{8} )^{4} $)($ ( 1 + 10 T + 97 T^{2} )^{2}( 1 - 10 T + 3 T^{2} - 970 T^{3} + 9409 T^{4} ) $)($ ( 1 + T - 96 T^{2} + 97 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 + T - 96 T^{2} + 97 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 + 10 T + 97 T^{2} )^{2}( 1 - 10 T + 3 T^{2} - 970 T^{3} + 9409 T^{4} ) $)($ ( 1 - 20 T + 181 T^{2} - 500 T^{3} - 248 T^{4} - 48500 T^{5} + 1703029 T^{6} - 18253460 T^{7} + 88529281 T^{8} )^{4} $)($ ( 1 + 18 T + 103 T^{2} + 486 T^{3} + 8004 T^{4} + 47142 T^{5} + 969127 T^{6} + 16428114 T^{7} + 88529281 T^{8} )^{4} $)($ ( 1 + 20 T + 222 T^{2} + 1940 T^{3} + 9409 T^{4} )^{2} $)($ ( 1 - 16 T + 428 T^{2} - 4368 T^{3} + 63222 T^{4} - 423696 T^{5} + 4027052 T^{6} - 14602768 T^{7} + 88529281 T^{8} )^{2} $)
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Overview	Random
Universe	Knowledge

Degree 1	Degree 2
Degree 3	Degree 4
$\zeta$ zeros

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	=	\( 1152 = 2^{7} \cdot 3^{2} \)
Weight:	\( k \)	=	\( 2 \)
Nonzero newspaces:			\( 20 \)
Sturm bound:			\(147456\)
Trace bound:			\(33\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Properties

Downloads

Learn more about

Defining parameters

Dimensions

Trace form

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1152))\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1152))\) into lower level spaces

Hecke characteristic polynomials

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	1152.2

Level	1152
Weight	2
Dimension	16200
Nonzero newspaces	20
Sturm bound	147456
Trace bound	33

Label	\(\chi\)	Newforms	Dimension	\(\chi\) degree
1152.2.a	\(\chi_{1152}(1, \cdot)\)	1152.2.a.a	1	1
		1152.2.a.b	1
		1152.2.a.c	1
		1152.2.a.d	1
		1152.2.a.e	1
		1152.2.a.f	1
		1152.2.a.g	1
		1152.2.a.h	1
		1152.2.a.i	1
		1152.2.a.j	1
		1152.2.a.k	1
		1152.2.a.l	1
		1152.2.a.m	1
		1152.2.a.n	1
		1152.2.a.o	1
		1152.2.a.p	1
		1152.2.a.q	1
		1152.2.a.r	1
		1152.2.a.s	1
		1152.2.a.t	1
1152.2.c	\(\chi_{1152}(1151, \cdot)\)	1152.2.c.a	4	1
		1152.2.c.b	4
		1152.2.c.c	4
		1152.2.c.d	4
1152.2.d	\(\chi_{1152}(577, \cdot)\)	1152.2.d.a	2	1
		1152.2.d.b	2
		1152.2.d.c	2
		1152.2.d.d	2
		1152.2.d.e	2
		1152.2.d.f	2
		1152.2.d.g	4
		1152.2.d.h	4
1152.2.f	\(\chi_{1152}(575, \cdot)\)	1152.2.f.a	4	1
		1152.2.f.b	4
		1152.2.f.c	4
		1152.2.f.d	4
1152.2.i	\(\chi_{1152}(385, \cdot)\)	1152.2.i.a	2	2
		1152.2.i.b	2
		1152.2.i.c	2
		1152.2.i.d	2
		1152.2.i.e	10
		1152.2.i.f	10
		1152.2.i.g	10
		1152.2.i.h	10
		1152.2.i.i	12
		1152.2.i.j	12
		1152.2.i.k	12
		1152.2.i.l	12
1152.2.k	\(\chi_{1152}(289, \cdot)\)	1152.2.k.a	2	2
		1152.2.k.b	2
		1152.2.k.c	8
		1152.2.k.d	8
		1152.2.k.e	8
		1152.2.k.f	8
1152.2.l	\(\chi_{1152}(287, \cdot)\)	1152.2.l.a	16	2
1152.2.l	\(\chi_{1152}(287, \cdot)\)	1152.2.l.b	16	2
1152.2.p	\(\chi_{1152}(191, \cdot)\)	1152.2.p.a	4	2
		1152.2.p.b	4
		1152.2.p.c	8
		1152.2.p.d	16
		1152.2.p.e	16
		1152.2.p.f	24
		1152.2.p.g	24
1152.2.r	\(\chi_{1152}(193, \cdot)\)	1152.2.r.a	4	2
		1152.2.r.b	4
		1152.2.r.c	4
		1152.2.r.d	4
		1152.2.r.e	16
		1152.2.r.f	16
		1152.2.r.g	24
		1152.2.r.h	24
1152.2.s	\(\chi_{1152}(383, \cdot)\)	1152.2.s.a	24	2
		1152.2.s.b	24
		1152.2.s.c	24
		1152.2.s.d	24
1152.2.v	\(\chi_{1152}(145, \cdot)\)	1152.2.v.a	4	4
		1152.2.v.b	8
		1152.2.v.c	32
		1152.2.v.d	32
1152.2.w	\(\chi_{1152}(143, \cdot)\)	1152.2.w.a	32	4
1152.2.w	\(\chi_{1152}(143, \cdot)\)	1152.2.w.b	32	4
1152.2.y	\(\chi_{1152}(95, \cdot)\)	n/a	176	4
1152.2.bb	\(\chi_{1152}(97, \cdot)\)	n/a	176	4
1152.2.bd	\(\chi_{1152}(73, \cdot)\)	None	0	8
1152.2.be	\(\chi_{1152}(71, \cdot)\)	None	0	8
1152.2.bg	\(\chi_{1152}(49, \cdot)\)	n/a	368	8
1152.2.bj	\(\chi_{1152}(47, \cdot)\)	n/a	368	8
1152.2.bl	\(\chi_{1152}(37, \cdot)\)	n/a	1264	16
1152.2.bm	\(\chi_{1152}(35, \cdot)\)	n/a	1024	16
1152.2.bp	\(\chi_{1152}(23, \cdot)\)	None	0	16
1152.2.bq	\(\chi_{1152}(25, \cdot)\)	None	0	16
1152.2.bs	\(\chi_{1152}(11, \cdot)\)	n/a	6080	32
1152.2.bv	\(\chi_{1152}(13, \cdot)\)	n/a	6080	32