Properties

Label 847.2.f
Level 847
Weight 2
Character orbit f
Rep. character \(\chi_{847}(148,\cdot)\)
Character field \(\Q(\zeta_{5})\)
Dimension 216
Newform subspaces 26
Sturm bound 176
Trace bound 7

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Defining parameters

Level: \( N \) = \( 847 = 7 \cdot 11^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 847.f (of order \(5\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 11 \)
Character field: \(\Q(\zeta_{5})\)
Newform subspaces: \( 26 \)
Sturm bound: \(176\)
Trace bound: \(7\)
Distinguishing \(T_p\): \(2\), \(3\), \(13\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(847, [\chi])\).

Total New Old
Modular forms 400 216 184
Cusp forms 304 216 88
Eisenstein series 96 0 96

Trace form

\( 216q + 4q^{2} + 8q^{3} - 52q^{4} + 4q^{5} - 6q^{6} + 2q^{7} + 2q^{8} - 44q^{9} + O(q^{10}) \) \( 216q + 4q^{2} + 8q^{3} - 52q^{4} + 4q^{5} - 6q^{6} + 2q^{7} + 2q^{8} - 44q^{9} + 16q^{10} - 36q^{12} + 2q^{13} - 3q^{14} + 22q^{15} - 74q^{16} + 16q^{17} - 15q^{18} - 10q^{19} - 14q^{20} - 12q^{21} - 40q^{23} + 14q^{24} - 66q^{25} + 10q^{26} + 26q^{27} - 11q^{28} + 6q^{29} - 12q^{30} + 28q^{31} - 12q^{32} + 48q^{34} + 8q^{35} - 102q^{36} - 4q^{37} - 26q^{38} - 6q^{39} + 26q^{40} + 32q^{41} - 8q^{43} - 200q^{45} + 13q^{46} + 28q^{47} + 52q^{48} - 54q^{49} - 18q^{50} + 26q^{51} - 54q^{52} + 14q^{53} - 64q^{54} + 18q^{56} + 14q^{57} + 35q^{58} - 40q^{59} + 108q^{60} - 74q^{62} + 10q^{63} - 56q^{64} - 16q^{65} + 44q^{67} - 6q^{68} + 12q^{69} + 32q^{70} + 42q^{71} - 3q^{72} + 32q^{73} + 38q^{74} + 6q^{75} - 4q^{78} - 6q^{79} + 160q^{80} + 6q^{81} - 30q^{82} - 28q^{83} - 12q^{84} + 4q^{85} + 101q^{86} + 60q^{87} - 128q^{89} + 12q^{90} - 18q^{91} + 129q^{92} - 10q^{93} + 54q^{94} - 56q^{95} + 32q^{96} - 32q^{97} - 6q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(847, [\chi])\) into newform subspaces

Label Dim. \(A\) Field CM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
847.2.f.a \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(-5\) \(-6\) \(2\) \(-1\) \(q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.b \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(-5\) \(4\) \(2\) \(1\) \(q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.c \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(-4\) \(3\) \(-1\) \(1\) \(q+(-2+\zeta_{10}-\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.d \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(-1\) \(-2\) \(-1\) \(-1\) \(q+(1-2\zeta_{10}+2\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.e \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(-1\) \(-2\) \(2\) \(1\) \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.f \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(0\) \(-1\) \(-3\) \(-1\) \(q+\zeta_{10}^{2}q^{3}+2\zeta_{10}^{3}q^{4}-3\zeta_{10}q^{5}+\cdots\)
847.2.f.g \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(0\) \(-1\) \(-3\) \(1\) \(q+\zeta_{10}^{2}q^{3}+2\zeta_{10}^{3}q^{4}-3\zeta_{10}q^{5}+\cdots\)
847.2.f.h \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(0\) \(3\) \(1\) \(-1\) \(q-3\zeta_{10}^{2}q^{3}+2\zeta_{10}^{3}q^{4}+\zeta_{10}q^{5}+\cdots\)
847.2.f.i \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(0\) \(3\) \(1\) \(1\) \(q-3\zeta_{10}^{2}q^{3}+2\zeta_{10}^{3}q^{4}+\zeta_{10}q^{5}+\cdots\)
847.2.f.j \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(1\) \(-2\) \(-1\) \(1\) \(q+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
847.2.f.k \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(1\) \(-2\) \(2\) \(-1\) \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+2\zeta_{10}^{2}q^{3}+\cdots\)
847.2.f.l \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(4\) \(3\) \(-1\) \(-1\) \(q+(2-\zeta_{10}+\zeta_{10}^{2}-2\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots\)
847.2.f.m \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(5\) \(-6\) \(2\) \(1\) \(q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2\zeta_{10}+\cdots)q^{3}+\cdots\)
847.2.f.n \(4\) \(6.763\) \(\Q(\zeta_{10})\) None \(5\) \(4\) \(2\) \(-1\) \(q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2\zeta_{10}+\cdots)q^{3}+\cdots\)
847.2.f.o \(8\) \(6.763\) 8.0.446265625.1 None \(-1\) \(1\) \(0\) \(2\) \(q+\beta _{5}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{5}+\beta _{6})q^{3}+\cdots\)
847.2.f.p \(8\) \(6.763\) 8.0.159390625.1 None \(-1\) \(6\) \(3\) \(2\) \(q-\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
847.2.f.q \(8\) \(6.763\) 8.0.159390625.1 None \(1\) \(-4\) \(3\) \(-2\) \(q-\beta _{4}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
847.2.f.r \(8\) \(6.763\) 8.0.446265625.1 None \(1\) \(1\) \(0\) \(-2\) \(q-\beta _{5}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{5}+\beta _{6})q^{3}+\cdots\)
847.2.f.s \(8\) \(6.763\) 8.0.159390625.1 None \(1\) \(6\) \(3\) \(-2\) \(q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
847.2.f.t \(12\) \(6.763\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(1\) \(-1\) \(-3\) \(q+(-1-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{6}+\beta _{7}+\cdots)q^{2}+\cdots\)
847.2.f.u \(12\) \(6.763\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(2\) \(1\) \(-1\) \(3\) \(q+(1+\beta _{1}+\beta _{2}+\beta _{3}-\beta _{6}-\beta _{7}-\beta _{8}+\cdots)q^{2}+\cdots\)
847.2.f.v \(16\) \(6.763\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-2\) \(-2\) \(-5\) \(4\) \(q-\beta _{6}q^{2}+(-\beta _{10}+\beta _{11}-\beta _{14}-\beta _{15})q^{3}+\cdots\)
847.2.f.w \(16\) \(6.763\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(2\) \(-2\) \(-5\) \(-4\) \(q+\beta _{6}q^{2}+(-\beta _{10}+\beta _{11}-\beta _{14}-\beta _{15})q^{3}+\cdots\)
847.2.f.x \(16\) \(6.763\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(3\) \(-2\) \(-5\) \(4\) \(q+(\beta _{5}+\beta _{6})q^{2}+(\beta _{9}-\beta _{11}+\beta _{13})q^{3}+\cdots\)
847.2.f.y \(24\) \(6.763\) None \(-4\) \(2\) \(4\) \(-6\)
847.2.f.z \(24\) \(6.763\) None \(4\) \(2\) \(4\) \(6\)

Decomposition of \(S_{2}^{\mathrm{old}}(847, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(847, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 5 T + 13 T^{2} + 25 T^{3} + 39 T^{4} + 50 T^{5} + 52 T^{6} + 40 T^{7} + 16 T^{8} \))(\( 1 + 5 T + 13 T^{2} + 25 T^{3} + 39 T^{4} + 50 T^{5} + 52 T^{6} + 40 T^{7} + 16 T^{8} \))(\( 1 + 4 T + 4 T^{2} - 7 T^{3} - 21 T^{4} - 14 T^{5} + 16 T^{6} + 32 T^{7} + 16 T^{8} \))(\( 1 + T + 4 T^{2} + 2 T^{3} + 9 T^{4} + 4 T^{5} + 16 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 + T - T^{2} - 3 T^{3} - T^{4} - 6 T^{5} - 4 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 - 2 T^{2} + 4 T^{4} - 8 T^{6} + 16 T^{8} \))(\( 1 - 2 T^{2} + 4 T^{4} - 8 T^{6} + 16 T^{8} \))(\( 1 - 2 T^{2} + 4 T^{4} - 8 T^{6} + 16 T^{8} \))(\( 1 - 2 T^{2} + 4 T^{4} - 8 T^{6} + 16 T^{8} \))(\( 1 - T + 4 T^{2} - 2 T^{3} + 9 T^{4} - 4 T^{5} + 16 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - T - T^{2} + 3 T^{3} - T^{4} + 6 T^{5} - 4 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - 4 T + 4 T^{2} + 7 T^{3} - 21 T^{4} + 14 T^{5} + 16 T^{6} - 32 T^{7} + 16 T^{8} \))(\( 1 - 5 T + 13 T^{2} - 25 T^{3} + 39 T^{4} - 50 T^{5} + 52 T^{6} - 40 T^{7} + 16 T^{8} \))(\( 1 - 5 T + 13 T^{2} - 25 T^{3} + 39 T^{4} - 50 T^{5} + 52 T^{6} - 40 T^{7} + 16 T^{8} \))(\( 1 + T + T^{3} - T^{4} + 13 T^{5} + 16 T^{6} - 3 T^{7} + 11 T^{8} - 6 T^{9} + 64 T^{10} + 104 T^{11} - 16 T^{12} + 32 T^{13} + 128 T^{15} + 256 T^{16} \))(\( 1 + T + 2 T^{2} + 5 T^{3} + 5 T^{4} + 19 T^{5} + 26 T^{6} + 25 T^{7} + 59 T^{8} + 50 T^{9} + 104 T^{10} + 152 T^{11} + 80 T^{12} + 160 T^{13} + 128 T^{14} + 128 T^{15} + 256 T^{16} \))(\( 1 - T - 3 T^{2} + 5 T^{3} - 19 T^{5} + 21 T^{6} + 20 T^{7} - 51 T^{8} + 40 T^{9} + 84 T^{10} - 152 T^{11} + 160 T^{13} - 192 T^{14} - 128 T^{15} + 256 T^{16} \))(\( 1 - T - T^{3} - T^{4} - 13 T^{5} + 16 T^{6} + 3 T^{7} + 11 T^{8} + 6 T^{9} + 64 T^{10} - 104 T^{11} - 16 T^{12} - 32 T^{13} - 128 T^{15} + 256 T^{16} \))(\( 1 - T + 2 T^{2} - 5 T^{3} + 5 T^{4} - 19 T^{5} + 26 T^{6} - 25 T^{7} + 59 T^{8} - 50 T^{9} + 104 T^{10} - 152 T^{11} + 80 T^{12} - 160 T^{13} + 128 T^{14} - 128 T^{15} + 256 T^{16} \))(\( 1 + 2 T + 3 T^{2} + 4 T^{3} + 3 T^{4} - 16 T^{5} - 33 T^{6} - 50 T^{7} - 65 T^{8} - 56 T^{9} + 118 T^{10} + 256 T^{11} + 388 T^{12} + 512 T^{13} + 472 T^{14} - 448 T^{15} - 1040 T^{16} - 1600 T^{17} - 2112 T^{18} - 2048 T^{19} + 768 T^{20} + 2048 T^{21} + 3072 T^{22} + 4096 T^{23} + 4096 T^{24} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 3 T^{4} + 16 T^{5} - 33 T^{6} + 50 T^{7} - 65 T^{8} + 56 T^{9} + 118 T^{10} - 256 T^{11} + 388 T^{12} - 512 T^{13} + 472 T^{14} + 448 T^{15} - 1040 T^{16} + 1600 T^{17} - 2112 T^{18} + 2048 T^{19} + 768 T^{20} - 2048 T^{21} + 3072 T^{22} - 4096 T^{23} + 4096 T^{24} \))(\( 1 + 2 T - 4 T^{2} - 7 T^{3} + 13 T^{4} + 18 T^{5} - 25 T^{6} - 39 T^{7} + 52 T^{8} + 109 T^{9} - 115 T^{10} - 198 T^{11} + 303 T^{12} + 287 T^{13} - 418 T^{14} - 148 T^{15} + 625 T^{16} - 296 T^{17} - 1672 T^{18} + 2296 T^{19} + 4848 T^{20} - 6336 T^{21} - 7360 T^{22} + 13952 T^{23} + 13312 T^{24} - 19968 T^{25} - 25600 T^{26} + 36864 T^{27} + 53248 T^{28} - 57344 T^{29} - 65536 T^{30} + 65536 T^{31} + 65536 T^{32} \))(\( 1 - 2 T - 4 T^{2} + 7 T^{3} + 13 T^{4} - 18 T^{5} - 25 T^{6} + 39 T^{7} + 52 T^{8} - 109 T^{9} - 115 T^{10} + 198 T^{11} + 303 T^{12} - 287 T^{13} - 418 T^{14} + 148 T^{15} + 625 T^{16} + 296 T^{17} - 1672 T^{18} - 2296 T^{19} + 4848 T^{20} + 6336 T^{21} - 7360 T^{22} - 13952 T^{23} + 13312 T^{24} + 19968 T^{25} - 25600 T^{26} - 36864 T^{27} + 53248 T^{28} + 57344 T^{29} - 65536 T^{30} - 65536 T^{31} + 65536 T^{32} \))(\( 1 - 3 T + 6 T^{2} - 12 T^{3} + 18 T^{4} - 17 T^{5} + 15 T^{6} + T^{7} - 58 T^{8} + 119 T^{9} - 185 T^{10} + 292 T^{11} - 242 T^{12} - 33 T^{13} + 312 T^{14} - 878 T^{15} + 1785 T^{16} - 1756 T^{17} + 1248 T^{18} - 264 T^{19} - 3872 T^{20} + 9344 T^{21} - 11840 T^{22} + 15232 T^{23} - 14848 T^{24} + 512 T^{25} + 15360 T^{26} - 34816 T^{27} + 73728 T^{28} - 98304 T^{29} + 98304 T^{30} - 98304 T^{31} + 65536 T^{32} \))
$3$ (\( 1 + 6 T + 13 T^{2} + 10 T^{3} + T^{4} + 30 T^{5} + 117 T^{6} + 162 T^{7} + 81 T^{8} \))(\( 1 - 4 T + 13 T^{2} - 30 T^{3} + 61 T^{4} - 90 T^{5} + 117 T^{6} - 108 T^{7} + 81 T^{8} \))(\( 1 - 3 T + T^{2} + T^{3} + 4 T^{4} + 3 T^{5} + 9 T^{6} - 81 T^{7} + 81 T^{8} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 19 T^{4} + 18 T^{5} + 9 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T + T^{2} - 4 T^{3} - 11 T^{4} - 12 T^{5} + 9 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + T - 2 T^{2} - 5 T^{3} + T^{4} - 15 T^{5} - 18 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 + T - 2 T^{2} - 5 T^{3} + T^{4} - 15 T^{5} - 18 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 - 3 T + 6 T^{2} - 9 T^{3} + 9 T^{4} - 27 T^{5} + 54 T^{6} - 81 T^{7} + 81 T^{8} \))(\( 1 - 3 T + 6 T^{2} - 9 T^{3} + 9 T^{4} - 27 T^{5} + 54 T^{6} - 81 T^{7} + 81 T^{8} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 19 T^{4} + 18 T^{5} + 9 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T + T^{2} - 4 T^{3} - 11 T^{4} - 12 T^{5} + 9 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 - 3 T + T^{2} + T^{3} + 4 T^{4} + 3 T^{5} + 9 T^{6} - 81 T^{7} + 81 T^{8} \))(\( 1 + 6 T + 13 T^{2} + 10 T^{3} + T^{4} + 30 T^{5} + 117 T^{6} + 162 T^{7} + 81 T^{8} \))(\( 1 - 4 T + 13 T^{2} - 30 T^{3} + 61 T^{4} - 90 T^{5} + 117 T^{6} - 108 T^{7} + 81 T^{8} \))(\( 1 - T - 2 T^{2} + 2 T^{3} - 2 T^{4} - 33 T^{5} + 51 T^{6} + 36 T^{7} - 72 T^{8} + 108 T^{9} + 459 T^{10} - 891 T^{11} - 162 T^{12} + 486 T^{13} - 1458 T^{14} - 2187 T^{15} + 6561 T^{16} \))(\( ( 1 - 3 T + T^{2} + T^{3} + 4 T^{4} + 3 T^{5} + 9 T^{6} - 81 T^{7} + 81 T^{8} )^{2} \))(\( ( 1 + 2 T + T^{2} + 6 T^{3} + 19 T^{4} + 18 T^{5} + 9 T^{6} + 54 T^{7} + 81 T^{8} )^{2} \))(\( 1 - T - 2 T^{2} + 2 T^{3} - 2 T^{4} - 33 T^{5} + 51 T^{6} + 36 T^{7} - 72 T^{8} + 108 T^{9} + 459 T^{10} - 891 T^{11} - 162 T^{12} + 486 T^{13} - 1458 T^{14} - 2187 T^{15} + 6561 T^{16} \))(\( ( 1 - 3 T + T^{2} + T^{3} + 4 T^{4} + 3 T^{5} + 9 T^{6} - 81 T^{7} + 81 T^{8} )^{2} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 8 T^{4} - 32 T^{5} + 32 T^{6} + 72 T^{7} + 97 T^{8} - 272 T^{9} + 712 T^{10} - 744 T^{11} - 1601 T^{12} - 2232 T^{13} + 6408 T^{14} - 7344 T^{15} + 7857 T^{16} + 17496 T^{17} + 23328 T^{18} - 69984 T^{19} + 52488 T^{20} - 59049 T^{21} - 118098 T^{22} - 177147 T^{23} + 531441 T^{24} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 8 T^{4} - 32 T^{5} + 32 T^{6} + 72 T^{7} + 97 T^{8} - 272 T^{9} + 712 T^{10} - 744 T^{11} - 1601 T^{12} - 2232 T^{13} + 6408 T^{14} - 7344 T^{15} + 7857 T^{16} + 17496 T^{17} + 23328 T^{18} - 69984 T^{19} + 52488 T^{20} - 59049 T^{21} - 118098 T^{22} - 177147 T^{23} + 531441 T^{24} \))(\( 1 + 2 T - 3 T^{2} - 4 T^{3} + 2 T^{4} - 6 T^{5} - 8 T^{6} - 86 T^{7} - 114 T^{8} + 228 T^{9} + 367 T^{10} + 18 T^{11} - 333 T^{12} + 1016 T^{13} + 2720 T^{14} - 2368 T^{15} - 10592 T^{16} - 7104 T^{17} + 24480 T^{18} + 27432 T^{19} - 26973 T^{20} + 4374 T^{21} + 267543 T^{22} + 498636 T^{23} - 747954 T^{24} - 1692738 T^{25} - 472392 T^{26} - 1062882 T^{27} + 1062882 T^{28} - 6377292 T^{29} - 14348907 T^{30} + 28697814 T^{31} + 43046721 T^{32} \))(\( 1 + 2 T - 3 T^{2} - 4 T^{3} + 2 T^{4} - 6 T^{5} - 8 T^{6} - 86 T^{7} - 114 T^{8} + 228 T^{9} + 367 T^{10} + 18 T^{11} - 333 T^{12} + 1016 T^{13} + 2720 T^{14} - 2368 T^{15} - 10592 T^{16} - 7104 T^{17} + 24480 T^{18} + 27432 T^{19} - 26973 T^{20} + 4374 T^{21} + 267543 T^{22} + 498636 T^{23} - 747954 T^{24} - 1692738 T^{25} - 472392 T^{26} - 1062882 T^{27} + 1062882 T^{28} - 6377292 T^{29} - 14348907 T^{30} + 28697814 T^{31} + 43046721 T^{32} \))(\( 1 + 2 T + 2 T^{2} - 4 T^{3} - 8 T^{4} + 4 T^{5} + 42 T^{6} + 104 T^{7} + 161 T^{8} + 8 T^{9} - 278 T^{10} - 122 T^{11} + 1632 T^{12} + 3996 T^{13} + 4420 T^{14} - 908 T^{15} - 3527 T^{16} - 2724 T^{17} + 39780 T^{18} + 107892 T^{19} + 132192 T^{20} - 29646 T^{21} - 202662 T^{22} + 17496 T^{23} + 1056321 T^{24} + 2047032 T^{25} + 2480058 T^{26} + 708588 T^{27} - 4251528 T^{28} - 6377292 T^{29} + 9565938 T^{30} + 28697814 T^{31} + 43046721 T^{32} \))
$5$ (\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 + T - 4 T^{2} - 9 T^{3} + 11 T^{4} - 45 T^{5} - 100 T^{6} + 125 T^{7} + 625 T^{8} \))(\( 1 + T - 4 T^{2} - 9 T^{3} + 11 T^{4} - 45 T^{5} - 100 T^{6} + 125 T^{7} + 625 T^{8} \))(\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 + 3 T + 4 T^{2} - 3 T^{3} - 29 T^{4} - 15 T^{5} + 100 T^{6} + 375 T^{7} + 625 T^{8} \))(\( 1 + 3 T + 4 T^{2} - 3 T^{3} - 29 T^{4} - 15 T^{5} + 100 T^{6} + 375 T^{7} + 625 T^{8} \))(\( 1 - T - 4 T^{2} + 9 T^{3} + 11 T^{4} + 45 T^{5} - 100 T^{6} - 125 T^{7} + 625 T^{8} \))(\( 1 - T - 4 T^{2} + 9 T^{3} + 11 T^{4} + 45 T^{5} - 100 T^{6} - 125 T^{7} + 625 T^{8} \))(\( 1 + T - 4 T^{2} - 9 T^{3} + 11 T^{4} - 45 T^{5} - 100 T^{6} + 125 T^{7} + 625 T^{8} \))(\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 + T - 4 T^{2} - 9 T^{3} + 11 T^{4} - 45 T^{5} - 100 T^{6} + 125 T^{7} + 625 T^{8} \))(\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T - T^{2} + 12 T^{3} - 19 T^{4} + 60 T^{5} - 25 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 + 3 T^{2} - 16 T^{4} - 123 T^{6} + 31 T^{8} - 3075 T^{10} - 10000 T^{12} + 46875 T^{14} + 390625 T^{16} \))(\( 1 - 3 T + 2 T^{2} + 6 T^{4} - 75 T^{5} + 208 T^{6} - 234 T^{7} + 431 T^{8} - 1170 T^{9} + 5200 T^{10} - 9375 T^{11} + 3750 T^{12} + 31250 T^{14} - 234375 T^{15} + 390625 T^{16} \))(\( 1 - 3 T - 3 T^{2} + 30 T^{3} - 39 T^{4} - 150 T^{5} + 428 T^{6} + 231 T^{7} - 2169 T^{8} + 1155 T^{9} + 10700 T^{10} - 18750 T^{11} - 24375 T^{12} + 93750 T^{13} - 46875 T^{14} - 234375 T^{15} + 390625 T^{16} \))(\( 1 + 3 T^{2} - 16 T^{4} - 123 T^{6} + 31 T^{8} - 3075 T^{10} - 10000 T^{12} + 46875 T^{14} + 390625 T^{16} \))(\( 1 - 3 T + 2 T^{2} + 6 T^{4} - 75 T^{5} + 208 T^{6} - 234 T^{7} + 431 T^{8} - 1170 T^{9} + 5200 T^{10} - 9375 T^{11} + 3750 T^{12} + 31250 T^{14} - 234375 T^{15} + 390625 T^{16} \))(\( 1 + T - 6 T^{2} - 7 T^{3} + 6 T^{4} + 28 T^{5} + 54 T^{6} - 136 T^{7} + 19 T^{8} + 1340 T^{9} + 3418 T^{10} - 3238 T^{11} - 29939 T^{12} - 16190 T^{13} + 85450 T^{14} + 167500 T^{15} + 11875 T^{16} - 425000 T^{17} + 843750 T^{18} + 2187500 T^{19} + 2343750 T^{20} - 13671875 T^{21} - 58593750 T^{22} + 48828125 T^{23} + 244140625 T^{24} \))(\( 1 + T - 6 T^{2} - 7 T^{3} + 6 T^{4} + 28 T^{5} + 54 T^{6} - 136 T^{7} + 19 T^{8} + 1340 T^{9} + 3418 T^{10} - 3238 T^{11} - 29939 T^{12} - 16190 T^{13} + 85450 T^{14} + 167500 T^{15} + 11875 T^{16} - 425000 T^{17} + 843750 T^{18} + 2187500 T^{19} + 2343750 T^{20} - 13671875 T^{21} - 58593750 T^{22} + 48828125 T^{23} + 244140625 T^{24} \))(\( 1 + 5 T + 14 T^{2} + 44 T^{3} + 109 T^{4} + 292 T^{5} + 994 T^{6} + 2416 T^{7} + 5986 T^{8} + 16176 T^{9} + 35286 T^{10} + 91101 T^{11} + 234456 T^{12} + 492396 T^{13} + 1194866 T^{14} + 2681212 T^{15} + 5341741 T^{16} + 13406060 T^{17} + 29871650 T^{18} + 61549500 T^{19} + 146535000 T^{20} + 284690625 T^{21} + 551343750 T^{22} + 1263750000 T^{23} + 2338281250 T^{24} + 4718750000 T^{25} + 9707031250 T^{26} + 14257812500 T^{27} + 26611328125 T^{28} + 53710937500 T^{29} + 85449218750 T^{30} + 152587890625 T^{31} + 152587890625 T^{32} \))(\( 1 + 5 T + 14 T^{2} + 44 T^{3} + 109 T^{4} + 292 T^{5} + 994 T^{6} + 2416 T^{7} + 5986 T^{8} + 16176 T^{9} + 35286 T^{10} + 91101 T^{11} + 234456 T^{12} + 492396 T^{13} + 1194866 T^{14} + 2681212 T^{15} + 5341741 T^{16} + 13406060 T^{17} + 29871650 T^{18} + 61549500 T^{19} + 146535000 T^{20} + 284690625 T^{21} + 551343750 T^{22} + 1263750000 T^{23} + 2338281250 T^{24} + 4718750000 T^{25} + 9707031250 T^{26} + 14257812500 T^{27} + 26611328125 T^{28} + 53710937500 T^{29} + 85449218750 T^{30} + 152587890625 T^{31} + 152587890625 T^{32} \))(\( 1 + 5 T - T^{2} - 66 T^{3} - 156 T^{4} + 267 T^{5} + 1789 T^{6} + 1241 T^{7} - 10249 T^{8} - 25094 T^{9} + 25181 T^{10} + 188691 T^{11} + 137316 T^{12} - 851484 T^{13} - 1968914 T^{14} + 1709452 T^{15} + 12417791 T^{16} + 8547260 T^{17} - 49222850 T^{18} - 106435500 T^{19} + 85822500 T^{20} + 589659375 T^{21} + 393453125 T^{22} - 1960468750 T^{23} - 4003515625 T^{24} + 2423828125 T^{25} + 17470703125 T^{26} + 13037109375 T^{27} - 38085937500 T^{28} - 80566406250 T^{29} - 6103515625 T^{30} + 152587890625 T^{31} + 152587890625 T^{32} \))
$7$ (\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{3} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{3} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{4} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{4} \))
$11$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$13$ (\( 1 + 6 T + 3 T^{2} - 10 T^{3} + 81 T^{4} - 130 T^{5} + 507 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} + 50 T^{3} + 341 T^{4} + 650 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 3 T^{2} + 10 T^{3} + 81 T^{4} + 130 T^{5} + 507 T^{6} - 13182 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 3 T^{2} - 50 T^{3} + 341 T^{4} - 650 T^{5} + 507 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} - 40 T^{3} - 199 T^{4} - 520 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 3 T^{2} + 40 T^{3} - 199 T^{4} + 520 T^{5} + 507 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} - 40 T^{3} - 199 T^{4} - 520 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} - 40 T^{3} - 199 T^{4} - 520 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 3 T^{2} + 40 T^{3} - 199 T^{4} + 520 T^{5} + 507 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} + 50 T^{3} + 341 T^{4} + 650 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 3 T^{2} + 40 T^{3} - 199 T^{4} + 520 T^{5} + 507 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 6 T + 3 T^{2} - 10 T^{3} + 81 T^{4} - 130 T^{5} + 507 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 3 T^{2} + 10 T^{3} + 81 T^{4} + 130 T^{5} + 507 T^{6} - 13182 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 3 T^{2} - 50 T^{3} + 341 T^{4} - 650 T^{5} + 507 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 6 T + 14 T^{2} + 30 T^{3} + 171 T^{4} + 1518 T^{5} + 5320 T^{6} + 6792 T^{7} + 13217 T^{8} + 88296 T^{9} + 899080 T^{10} + 3335046 T^{11} + 4883931 T^{12} + 11138790 T^{13} + 67575326 T^{14} + 376491102 T^{15} + 815730721 T^{16} \))(\( 1 + 5 T - 30 T^{2} - 170 T^{3} + 286 T^{4} + 2815 T^{5} + 5030 T^{6} - 15820 T^{7} - 130849 T^{8} - 205660 T^{9} + 850070 T^{10} + 6184555 T^{11} + 8168446 T^{12} - 63119810 T^{13} - 144804270 T^{14} + 313742585 T^{15} + 815730721 T^{16} \))(\( 1 + 5 T + 35 T^{2} + 90 T^{3} + 611 T^{4} + 670 T^{5} + 4380 T^{6} - 8865 T^{7} + 38151 T^{8} - 115245 T^{9} + 740220 T^{10} + 1471990 T^{11} + 17450771 T^{12} + 33416370 T^{13} + 168938315 T^{14} + 313742585 T^{15} + 815730721 T^{16} \))(\( 1 - 6 T + 14 T^{2} - 30 T^{3} + 171 T^{4} - 1518 T^{5} + 5320 T^{6} - 6792 T^{7} + 13217 T^{8} - 88296 T^{9} + 899080 T^{10} - 3335046 T^{11} + 4883931 T^{12} - 11138790 T^{13} + 67575326 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 - 5 T - 30 T^{2} + 170 T^{3} + 286 T^{4} - 2815 T^{5} + 5030 T^{6} + 15820 T^{7} - 130849 T^{8} + 205660 T^{9} + 850070 T^{10} - 6184555 T^{11} + 8168446 T^{12} + 63119810 T^{13} - 144804270 T^{14} - 313742585 T^{15} + 815730721 T^{16} \))(\( 1 + 8 T + 23 T^{2} - 324 T^{4} + 760 T^{5} + 15724 T^{6} + 61496 T^{7} + 78885 T^{8} - 469128 T^{9} - 888268 T^{10} + 10299304 T^{11} + 57810247 T^{12} + 133890952 T^{13} - 150117292 T^{14} - 1030674216 T^{15} + 2253034485 T^{16} + 22833034328 T^{17} + 75896744716 T^{18} + 47688872920 T^{19} - 264296753604 T^{20} + 3170745312527 T^{22} + 14337283152296 T^{23} + 23298085122481 T^{24} \))(\( 1 - 8 T + 23 T^{2} - 324 T^{4} - 760 T^{5} + 15724 T^{6} - 61496 T^{7} + 78885 T^{8} + 469128 T^{9} - 888268 T^{10} - 10299304 T^{11} + 57810247 T^{12} - 133890952 T^{13} - 150117292 T^{14} + 1030674216 T^{15} + 2253034485 T^{16} - 22833034328 T^{17} + 75896744716 T^{18} - 47688872920 T^{19} - 264296753604 T^{20} + 3170745312527 T^{22} - 14337283152296 T^{23} + 23298085122481 T^{24} \))(\( 1 + 13 T + 72 T^{2} + 244 T^{3} + 737 T^{4} + 2006 T^{5} + 3492 T^{6} + 7936 T^{7} + 40586 T^{8} + 125222 T^{9} + 55652 T^{10} - 2894553 T^{11} - 22953788 T^{12} - 102379926 T^{13} - 373476350 T^{14} - 1282762402 T^{15} - 4399561547 T^{16} - 16675911226 T^{17} - 63117503150 T^{18} - 224928697422 T^{19} - 655583139068 T^{20} - 1074727267029 T^{21} + 268621574468 T^{22} + 7857494795774 T^{23} + 33107247042506 T^{24} + 84157307024128 T^{25} + 481401853536708 T^{26} + 3595073750438222 T^{27} + 17170688735268497 T^{28} + 73901526008509732 T^{29} + 283491099770348808 T^{30} + 665416609183179841 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 13 T + 72 T^{2} - 244 T^{3} + 737 T^{4} - 2006 T^{5} + 3492 T^{6} - 7936 T^{7} + 40586 T^{8} - 125222 T^{9} + 55652 T^{10} + 2894553 T^{11} - 22953788 T^{12} + 102379926 T^{13} - 373476350 T^{14} + 1282762402 T^{15} - 4399561547 T^{16} + 16675911226 T^{17} - 63117503150 T^{18} + 224928697422 T^{19} - 655583139068 T^{20} + 1074727267029 T^{21} + 268621574468 T^{22} - 7857494795774 T^{23} + 33107247042506 T^{24} - 84157307024128 T^{25} + 481401853536708 T^{26} - 3595073750438222 T^{27} + 17170688735268497 T^{28} - 73901526008509732 T^{29} + 283491099770348808 T^{30} - 665416609183179841 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 7 T - 13 T^{2} + 114 T^{3} + 302 T^{4} - 619 T^{5} - 3203 T^{6} - 11659 T^{7} - 57039 T^{8} + 415732 T^{9} + 983197 T^{10} - 802283 T^{11} - 7060468 T^{12} - 40515806 T^{13} - 160505050 T^{14} + 179149458 T^{15} + 5116354083 T^{16} + 2328942954 T^{17} - 27125353450 T^{18} - 89013225782 T^{19} - 201654026548 T^{20} - 297882061919 T^{21} + 4745704128373 T^{22} + 26086566469444 T^{23} - 46528464595119 T^{24} - 123637858189807 T^{25} - 441560749392347 T^{26} - 1109347283908903 T^{27} + 7036021706989262 T^{28} + 34527762151516842 T^{29} - 51185893014090757 T^{30} - 358301251098635299 T^{31} + 665416609183179841 T^{32} \))
$17$ (\( 1 - 6 T - T^{2} + 18 T^{3} + 169 T^{4} + 306 T^{5} - 289 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 - 4 T - T^{2} - 58 T^{3} + 509 T^{4} - 986 T^{5} - 289 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 15 T + 83 T^{2} + 165 T^{3} + 64 T^{4} + 2805 T^{5} + 23987 T^{6} + 73695 T^{7} + 83521 T^{8} \))(\( 1 + 10 T + 83 T^{2} + 460 T^{3} + 2189 T^{4} + 7820 T^{5} + 23987 T^{6} + 49130 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - T^{2} - 72 T^{3} - 271 T^{4} - 1224 T^{5} - 289 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 19 T^{2} - 12 T^{3} - 251 T^{4} - 204 T^{5} + 5491 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 + 6 T + 19 T^{2} + 12 T^{3} - 251 T^{4} + 204 T^{5} + 5491 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 2 T - 13 T^{2} + 60 T^{3} + 101 T^{4} + 1020 T^{5} - 3757 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 2 T - 13 T^{2} - 60 T^{3} + 101 T^{4} - 1020 T^{5} - 3757 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 - 10 T + 83 T^{2} - 460 T^{3} + 2189 T^{4} - 7820 T^{5} + 23987 T^{6} - 49130 T^{7} + 83521 T^{8} \))(\( 1 - 4 T - T^{2} + 72 T^{3} - 271 T^{4} + 1224 T^{5} - 289 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 15 T + 83 T^{2} - 165 T^{3} + 64 T^{4} - 2805 T^{5} + 23987 T^{6} - 73695 T^{7} + 83521 T^{8} \))(\( 1 + 6 T - T^{2} - 18 T^{3} + 169 T^{4} - 306 T^{5} - 289 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - T^{2} + 58 T^{3} + 509 T^{4} + 986 T^{5} - 289 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 9 T + 30 T^{2} - 36 T^{3} - 766 T^{4} - 3213 T^{5} - 4029 T^{6} + 20808 T^{7} + 122536 T^{8} + 353736 T^{9} - 1164381 T^{10} - 15785469 T^{11} - 63977086 T^{12} - 51114852 T^{13} + 724127070 T^{14} + 3693048057 T^{15} + 6975757441 T^{16} \))(\( 1 - 14 T + 79 T^{2} - 281 T^{3} + 1089 T^{4} - 2031 T^{5} - 15507 T^{6} + 106442 T^{7} - 393507 T^{8} + 1809514 T^{9} - 4481523 T^{10} - 9978303 T^{11} + 90954369 T^{12} - 398979817 T^{13} + 1906867951 T^{14} - 5744741422 T^{15} + 6975757441 T^{16} \))(\( 1 - 11 T + 39 T^{2} - 139 T^{3} + 1249 T^{4} - 7484 T^{5} + 34098 T^{6} - 128922 T^{7} + 457683 T^{8} - 2191674 T^{9} + 9854322 T^{10} - 36768892 T^{11} + 104317729 T^{12} - 197360123 T^{13} + 941365191 T^{14} - 4513725403 T^{15} + 6975757441 T^{16} \))(\( 1 - 9 T + 30 T^{2} + 36 T^{3} - 766 T^{4} + 3213 T^{5} - 4029 T^{6} - 20808 T^{7} + 122536 T^{8} - 353736 T^{9} - 1164381 T^{10} + 15785469 T^{11} - 63977086 T^{12} + 51114852 T^{13} + 724127070 T^{14} - 3693048057 T^{15} + 6975757441 T^{16} \))(\( 1 + 14 T + 79 T^{2} + 281 T^{3} + 1089 T^{4} + 2031 T^{5} - 15507 T^{6} - 106442 T^{7} - 393507 T^{8} - 1809514 T^{9} - 4481523 T^{10} + 9978303 T^{11} + 90954369 T^{12} + 398979817 T^{13} + 1906867951 T^{14} + 5744741422 T^{15} + 6975757441 T^{16} \))(\( 1 + 8 T + 11 T^{2} - 128 T^{3} - 844 T^{4} + 1016 T^{5} + 29908 T^{6} + 111320 T^{7} - 72771 T^{8} - 2499144 T^{9} - 6443380 T^{10} + 29627592 T^{11} + 234698431 T^{12} + 503669064 T^{13} - 1862136820 T^{14} - 12278294472 T^{15} - 6077906691 T^{16} + 158058481240 T^{17} + 721906413652 T^{18} + 416904091768 T^{19} - 5887539280204 T^{20} - 15179248191616 T^{21} + 22175932904939 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 8 T + 11 T^{2} + 128 T^{3} - 844 T^{4} - 1016 T^{5} + 29908 T^{6} - 111320 T^{7} - 72771 T^{8} + 2499144 T^{9} - 6443380 T^{10} - 29627592 T^{11} + 234698431 T^{12} - 503669064 T^{13} - 1862136820 T^{14} + 12278294472 T^{15} - 6077906691 T^{16} - 158058481240 T^{17} + 721906413652 T^{18} - 416904091768 T^{19} - 5887539280204 T^{20} + 15179248191616 T^{21} + 22175932904939 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 + 10 T - 37 T^{2} - 633 T^{3} - 168 T^{4} + 13271 T^{5} + 17626 T^{6} + 16005 T^{7} + 351109 T^{8} - 5653873 T^{9} - 25003323 T^{10} + 95686688 T^{11} + 315645412 T^{12} - 305068606 T^{13} + 5822669428 T^{14} - 3664060760 T^{15} - 218663265475 T^{16} - 62289032920 T^{17} + 1682751464692 T^{18} - 1498802061278 T^{19} + 26363020455652 T^{20} + 135861413763616 T^{21} - 603519434141787 T^{22} - 2320002744130529 T^{23} + 2449251219352069 T^{24} + 1897998963334485 T^{25} + 35533908489314074 T^{26} + 454822335898597543 T^{27} - 97880535854599848 T^{28} - 6269597894829458121 T^{29} - 6229979582697834373 T^{30} + 28624230515098157930 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 10 T - 37 T^{2} + 633 T^{3} - 168 T^{4} - 13271 T^{5} + 17626 T^{6} - 16005 T^{7} + 351109 T^{8} + 5653873 T^{9} - 25003323 T^{10} - 95686688 T^{11} + 315645412 T^{12} + 305068606 T^{13} + 5822669428 T^{14} + 3664060760 T^{15} - 218663265475 T^{16} + 62289032920 T^{17} + 1682751464692 T^{18} + 1498802061278 T^{19} + 26363020455652 T^{20} - 135861413763616 T^{21} - 603519434141787 T^{22} + 2320002744130529 T^{23} + 2449251219352069 T^{24} - 1897998963334485 T^{25} + 35533908489314074 T^{26} - 454822335898597543 T^{27} - 97880535854599848 T^{28} + 6269597894829458121 T^{29} - 6229979582697834373 T^{30} - 28624230515098157930 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 5 T + 13 T^{2} - 163 T^{3} + 1572 T^{4} - 7139 T^{5} + 24321 T^{6} - 178695 T^{7} + 1262499 T^{8} - 5104293 T^{9} + 17336797 T^{10} - 107294017 T^{11} + 637972982 T^{12} - 2309382396 T^{13} + 7576691718 T^{14} - 42485576390 T^{15} + 218631742615 T^{16} - 722254798630 T^{17} + 2189663906502 T^{18} - 11345995711548 T^{19} + 53284141429622 T^{20} - 152342161095569 T^{21} + 418468133826493 T^{22} - 2094488816223189 T^{23} + 8806886793505059 T^{24} - 21191060590631415 T^{25} + 49030987652820129 T^{26} - 244667067740191987 T^{27} + 915882156925184292 T^{28} - 1614446219363667731 T^{29} + 2188911745272212077 T^{30} - 14312115257549078965 T^{31} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 8 T + 45 T^{2} - 268 T^{3} + 1529 T^{4} - 5092 T^{5} + 16245 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 12 T + 45 T^{2} - 52 T^{3} + 9 T^{4} - 988 T^{5} + 16245 T^{6} - 82308 T^{7} + 130321 T^{8} \))(\( 1 - T + 12 T^{2} - 53 T^{3} + 425 T^{4} - 1007 T^{5} + 4332 T^{6} - 6859 T^{7} + 130321 T^{8} \))(\( 1 - 9 T + 12 T^{2} + 163 T^{3} - 1095 T^{4} + 3097 T^{5} + 4332 T^{6} - 61731 T^{7} + 130321 T^{8} \))(\( 1 - 19 T^{2} + 361 T^{4} - 6859 T^{6} + 130321 T^{8} \))(\( 1 + 2 T - 15 T^{2} - 68 T^{3} + 149 T^{4} - 1292 T^{5} - 5415 T^{6} + 13718 T^{7} + 130321 T^{8} \))(\( 1 - 2 T - 15 T^{2} + 68 T^{3} + 149 T^{4} + 1292 T^{5} - 5415 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 + 6 T + 17 T^{2} - 12 T^{3} - 395 T^{4} - 228 T^{5} + 6137 T^{6} + 41154 T^{7} + 130321 T^{8} \))(\( 1 - 6 T + 17 T^{2} + 12 T^{3} - 395 T^{4} + 228 T^{5} + 6137 T^{6} - 41154 T^{7} + 130321 T^{8} \))(\( 1 + 9 T + 12 T^{2} - 163 T^{3} - 1095 T^{4} - 3097 T^{5} + 4332 T^{6} + 61731 T^{7} + 130321 T^{8} \))(\( 1 - 19 T^{2} + 361 T^{4} - 6859 T^{6} + 130321 T^{8} \))(\( 1 + T + 12 T^{2} + 53 T^{3} + 425 T^{4} + 1007 T^{5} + 4332 T^{6} + 6859 T^{7} + 130321 T^{8} \))(\( 1 + 8 T + 45 T^{2} + 268 T^{3} + 1529 T^{4} + 5092 T^{5} + 16245 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 45 T^{2} + 52 T^{3} + 9 T^{4} + 988 T^{5} + 16245 T^{6} + 82308 T^{7} + 130321 T^{8} \))(\( ( 1 - 3 T - 10 T^{2} + 87 T^{3} - 71 T^{4} + 1653 T^{5} - 3610 T^{6} - 20577 T^{7} + 130321 T^{8} )^{2} \))(\( 1 - 6 T - 27 T^{2} + 111 T^{3} + 483 T^{4} - 2061 T^{5} + 20515 T^{6} - 13260 T^{7} - 552129 T^{8} - 251940 T^{9} + 7405915 T^{10} - 14136399 T^{11} + 62945043 T^{12} + 274846989 T^{13} - 1270238787 T^{14} - 5363230434 T^{15} + 16983563041 T^{16} \))(\( 1 - 9 T + 43 T^{2} - 171 T^{3} + 1023 T^{4} - 1674 T^{5} - 12940 T^{6} + 86580 T^{7} - 253639 T^{8} + 1645020 T^{9} - 4671340 T^{10} - 11481966 T^{11} + 133318383 T^{12} - 423412929 T^{13} + 2022972883 T^{14} - 8044845651 T^{15} + 16983563041 T^{16} \))(\( ( 1 + 3 T - 10 T^{2} - 87 T^{3} - 71 T^{4} - 1653 T^{5} - 3610 T^{6} + 20577 T^{7} + 130321 T^{8} )^{2} \))(\( 1 + 6 T - 27 T^{2} - 111 T^{3} + 483 T^{4} + 2061 T^{5} + 20515 T^{6} + 13260 T^{7} - 552129 T^{8} + 251940 T^{9} + 7405915 T^{10} + 14136399 T^{11} + 62945043 T^{12} - 274846989 T^{13} - 1270238787 T^{14} + 5363230434 T^{15} + 16983563041 T^{16} \))(\( 1 - 17 T^{2} + 64 T^{3} - 34 T^{4} + 3264 T^{5} + 3306 T^{6} - 78336 T^{7} + 280279 T^{8} + 50048 T^{9} + 3108178 T^{10} + 20001792 T^{11} - 162841925 T^{12} + 380034048 T^{13} + 1122052258 T^{14} + 343279232 T^{15} + 36526239559 T^{16} - 193967691264 T^{17} + 155533682586 T^{18} + 2917597356096 T^{19} - 577441143394 T^{20} + 20652012657856 T^{21} - 104228126382617 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 17 T^{2} - 64 T^{3} - 34 T^{4} - 3264 T^{5} + 3306 T^{6} + 78336 T^{7} + 280279 T^{8} - 50048 T^{9} + 3108178 T^{10} - 20001792 T^{11} - 162841925 T^{12} - 380034048 T^{13} + 1122052258 T^{14} - 343279232 T^{15} + 36526239559 T^{16} + 193967691264 T^{17} + 155533682586 T^{18} - 2917597356096 T^{19} - 577441143394 T^{20} - 20652012657856 T^{21} - 104228126382617 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 6 T + 3 T^{2} - 85 T^{3} + 1184 T^{4} + 2399 T^{5} - 34320 T^{6} - 47453 T^{7} + 19149 T^{8} + 5712061 T^{9} - 3409115 T^{10} - 100225110 T^{11} - 227341598 T^{12} + 1375692546 T^{13} + 11005678798 T^{14} - 19570163952 T^{15} - 191338098209 T^{16} - 371833115088 T^{17} + 3973050046078 T^{18} + 9435875173014 T^{19} - 29627384392958 T^{20} - 248167294645890 T^{21} - 160384818605315 T^{22} + 5105849899344079 T^{23} + 325218248672109 T^{24} - 15312499322706887 T^{25} - 210418193967730320 T^{26} + 279460131096827381 T^{27} + 2620564864174334624 T^{28} - 3574503594291850015 T^{29} + 2397020057348652363 T^{30} - 91086762179248789794 T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 6 T + 3 T^{2} + 85 T^{3} + 1184 T^{4} - 2399 T^{5} - 34320 T^{6} + 47453 T^{7} + 19149 T^{8} - 5712061 T^{9} - 3409115 T^{10} + 100225110 T^{11} - 227341598 T^{12} - 1375692546 T^{13} + 11005678798 T^{14} + 19570163952 T^{15} - 191338098209 T^{16} + 371833115088 T^{17} + 3973050046078 T^{18} - 9435875173014 T^{19} - 29627384392958 T^{20} + 248167294645890 T^{21} - 160384818605315 T^{22} - 5105849899344079 T^{23} + 325218248672109 T^{24} + 15312499322706887 T^{25} - 210418193967730320 T^{26} - 279460131096827381 T^{27} + 2620564864174334624 T^{28} + 3574503594291850015 T^{29} + 2397020057348652363 T^{30} + 91086762179248789794 T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 19 T + 113 T^{2} - 15 T^{3} - 2596 T^{4} - 2631 T^{5} + 106245 T^{6} + 756527 T^{7} + 1484429 T^{8} - 6206619 T^{9} - 26235105 T^{10} + 133461535 T^{11} + 1444663142 T^{12} + 5677361136 T^{13} + 11109732198 T^{14} + 13150474478 T^{15} + 38443302841 T^{16} + 249859015082 T^{17} + 4010613323478 T^{18} + 38941020031824 T^{19} + 188269945328582 T^{20} + 330463973351965 T^{21} - 1234253627852505 T^{22} - 5547921318840441 T^{23} + 25210893501388589 T^{24} + 244121955937653533 T^{25} + 651395134560067245 T^{26} - 306485871161214189 T^{27} - 5745765529895753956 T^{28} - 630794751933855885 T^{29} + 90287755493465905673 T^{30} + \)\(28\!\cdots\!81\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + T + 15 T^{2} + 23 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + T + 15 T^{2} + 23 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{4} \))(\( ( 1 - 3 T + 23 T^{2} )^{4} \))(\( ( 1 - 3 T + 23 T^{2} )^{4} \))(\( ( 1 + 5 T + 23 T^{2} )^{4} \))(\( ( 1 + 5 T + 23 T^{2} )^{4} \))(\( ( 1 + T + 15 T^{2} + 23 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{4} \))(\( ( 1 + T + 15 T^{2} + 23 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 9 T + 63 T^{2} + 207 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 8 T + 83 T^{2} + 402 T^{3} + 2555 T^{4} + 9246 T^{5} + 43907 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 8 T + 83 T^{2} + 402 T^{3} + 2555 T^{4} + 9246 T^{5} + 43907 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 9 T + 63 T^{2} + 207 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 8 T + 83 T^{2} + 402 T^{3} + 2555 T^{4} + 9246 T^{5} + 43907 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 7 T + 77 T^{2} - 314 T^{3} + 1771 T^{4} - 3703 T^{5} + 12167 T^{6} )^{4} \))(\( ( 1 - 7 T + 77 T^{2} - 314 T^{3} + 1771 T^{4} - 3703 T^{5} + 12167 T^{6} )^{4} \))(\( ( 1 - 16 T + 224 T^{2} - 2234 T^{3} + 19567 T^{4} - 141712 T^{5} + 926670 T^{6} - 5230592 T^{7} + 26816927 T^{8} - 120303616 T^{9} + 490208430 T^{10} - 1724209904 T^{11} + 5475648847 T^{12} - 14378790262 T^{13} + 33160039136 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 16 T + 224 T^{2} - 2234 T^{3} + 19567 T^{4} - 141712 T^{5} + 926670 T^{6} - 5230592 T^{7} + 26816927 T^{8} - 120303616 T^{9} + 490208430 T^{10} - 1724209904 T^{11} + 5475648847 T^{12} - 14378790262 T^{13} + 33160039136 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 16 T + 224 T^{2} - 2234 T^{3} + 19567 T^{4} - 141712 T^{5} + 926670 T^{6} - 5230592 T^{7} + 26816927 T^{8} - 120303616 T^{9} + 490208430 T^{10} - 1724209904 T^{11} + 5475648847 T^{12} - 14378790262 T^{13} + 33160039136 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 - 6 T + 47 T^{2} - 288 T^{3} + 2365 T^{4} - 8352 T^{5} + 39527 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 - 14 T + 47 T^{2} + 208 T^{3} - 2275 T^{4} + 6032 T^{5} + 39527 T^{6} - 341446 T^{7} + 707281 T^{8} \))(\( 1 + 6 T - 13 T^{2} - 192 T^{3} - 575 T^{4} - 5568 T^{5} - 10933 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 - T - 13 T^{2} + 137 T^{3} + 440 T^{4} + 3973 T^{5} - 10933 T^{6} - 24389 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 7 T^{2} + 132 T^{3} - 995 T^{4} + 3828 T^{5} + 5887 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 7 T^{2} + 132 T^{3} - 995 T^{4} + 3828 T^{5} + 5887 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 7 T^{2} - 132 T^{3} - 995 T^{4} - 3828 T^{5} + 5887 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 - 10 T + 71 T^{2} - 420 T^{3} + 2141 T^{4} - 12180 T^{5} + 59711 T^{6} - 243890 T^{7} + 707281 T^{8} \))(\( 1 + 10 T + 71 T^{2} + 420 T^{3} + 2141 T^{4} + 12180 T^{5} + 59711 T^{6} + 243890 T^{7} + 707281 T^{8} \))(\( 1 + T - 13 T^{2} - 137 T^{3} + 440 T^{4} - 3973 T^{5} - 10933 T^{6} + 24389 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 7 T^{2} - 132 T^{3} - 995 T^{4} - 3828 T^{5} + 5887 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 - 6 T - 13 T^{2} + 192 T^{3} - 575 T^{4} + 5568 T^{5} - 10933 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 47 T^{2} + 288 T^{3} + 2365 T^{4} + 8352 T^{5} + 39527 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 14 T + 47 T^{2} - 208 T^{3} - 2275 T^{4} - 6032 T^{5} + 39527 T^{6} + 341446 T^{7} + 707281 T^{8} \))(\( 1 + 13 T + 72 T^{2} + 52 T^{3} - 2248 T^{4} - 16445 T^{5} - 36677 T^{6} + 227136 T^{7} + 2201240 T^{8} + 6586944 T^{9} - 30845357 T^{10} - 401077105 T^{11} - 1589967688 T^{12} + 1066579748 T^{13} + 42827279112 T^{14} + 224248392017 T^{15} + 500246412961 T^{16} \))(\( 1 - 6 T + 23 T^{2} + 6 T^{3} + 138 T^{4} + 5484 T^{5} - 19805 T^{6} + 121230 T^{7} + 57131 T^{8} + 3515670 T^{9} - 16656005 T^{10} + 133749276 T^{11} + 97604778 T^{12} + 123066894 T^{13} + 13680936383 T^{14} - 103499257854 T^{15} + 500246412961 T^{16} \))(\( 1 - 9 T - 22 T^{2} + 429 T^{3} - 762 T^{4} - 11754 T^{5} + 81940 T^{6} + 191700 T^{7} - 3727369 T^{8} + 5559300 T^{9} + 68911540 T^{10} - 286668306 T^{11} - 538948122 T^{12} + 8799282921 T^{13} - 13086113062 T^{14} - 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 - 13 T + 72 T^{2} - 52 T^{3} - 2248 T^{4} + 16445 T^{5} - 36677 T^{6} - 227136 T^{7} + 2201240 T^{8} - 6586944 T^{9} - 30845357 T^{10} + 401077105 T^{11} - 1589967688 T^{12} - 1066579748 T^{13} + 42827279112 T^{14} - 224248392017 T^{15} + 500246412961 T^{16} \))(\( 1 + 6 T + 23 T^{2} - 6 T^{3} + 138 T^{4} - 5484 T^{5} - 19805 T^{6} - 121230 T^{7} + 57131 T^{8} - 3515670 T^{9} - 16656005 T^{10} - 133749276 T^{11} + 97604778 T^{12} - 123066894 T^{13} + 13680936383 T^{14} + 103499257854 T^{15} + 500246412961 T^{16} \))(\( 1 - 47 T^{2} - 64 T^{3} + 846 T^{4} - 9024 T^{5} + 4006 T^{6} + 457216 T^{7} + 382439 T^{8} - 7884928 T^{9} + 61357278 T^{10} - 56983552 T^{11} - 2998123365 T^{12} - 1652523008 T^{13} + 51601470798 T^{14} - 192305508992 T^{15} + 270491838359 T^{16} + 9378025501184 T^{17} + 2382862223926 T^{18} - 155662883812416 T^{19} + 423208465365006 T^{20} - 928457342455616 T^{21} - 19773239965109447 T^{22} + 353814783205469041 T^{24} \))(\( 1 - 47 T^{2} + 64 T^{3} + 846 T^{4} + 9024 T^{5} + 4006 T^{6} - 457216 T^{7} + 382439 T^{8} + 7884928 T^{9} + 61357278 T^{10} + 56983552 T^{11} - 2998123365 T^{12} + 1652523008 T^{13} + 51601470798 T^{14} + 192305508992 T^{15} + 270491838359 T^{16} - 9378025501184 T^{17} + 2382862223926 T^{18} + 155662883812416 T^{19} + 423208465365006 T^{20} + 928457342455616 T^{21} - 19773239965109447 T^{22} + 353814783205469041 T^{24} \))(\( 1 - 12 T - 70 T^{2} + 1390 T^{3} - 774 T^{4} - 64772 T^{5} + 304755 T^{6} + 772470 T^{7} - 15507999 T^{8} + 61115248 T^{9} + 297254044 T^{10} - 3599964238 T^{11} + 3985868241 T^{12} + 93662943228 T^{13} - 421310359901 T^{14} - 1028919750178 T^{15} + 15133672321246 T^{16} - 29838672755162 T^{17} - 354322012676741 T^{18} + 2284345522387692 T^{19} + 2819128875362721 T^{20} - 73839402880289462 T^{21} + 176813637632760124 T^{22} + 1054230468593859632 T^{23} - 7757820871952775039 T^{24} + 11206335051979526430 T^{25} + \)\(12\!\cdots\!55\)\( T^{26} - \)\(79\!\cdots\!88\)\( T^{27} - \)\(27\!\cdots\!34\)\( T^{28} + \)\(14\!\cdots\!10\)\( T^{29} - \)\(20\!\cdots\!70\)\( T^{30} - \)\(10\!\cdots\!88\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 12 T - 70 T^{2} - 1390 T^{3} - 774 T^{4} + 64772 T^{5} + 304755 T^{6} - 772470 T^{7} - 15507999 T^{8} - 61115248 T^{9} + 297254044 T^{10} + 3599964238 T^{11} + 3985868241 T^{12} - 93662943228 T^{13} - 421310359901 T^{14} + 1028919750178 T^{15} + 15133672321246 T^{16} + 29838672755162 T^{17} - 354322012676741 T^{18} - 2284345522387692 T^{19} + 2819128875362721 T^{20} + 73839402880289462 T^{21} + 176813637632760124 T^{22} - 1054230468593859632 T^{23} - 7757820871952775039 T^{24} - 11206335051979526430 T^{25} + \)\(12\!\cdots\!55\)\( T^{26} + \)\(79\!\cdots\!88\)\( T^{27} - \)\(27\!\cdots\!34\)\( T^{28} - \)\(14\!\cdots\!10\)\( T^{29} - \)\(20\!\cdots\!70\)\( T^{30} + \)\(10\!\cdots\!88\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 3 T + 75 T^{3} + 2441 T^{4} + 473 T^{5} - 37550 T^{6} + 114715 T^{7} + 3177286 T^{8} - 2623287 T^{9} - 24972736 T^{10} + 263064707 T^{11} + 3471423716 T^{12} - 694532172 T^{13} - 11302302466 T^{14} + 87801320252 T^{15} + 2485262854281 T^{16} + 2546238287308 T^{17} - 9505236373906 T^{18} - 16938945142908 T^{19} + 2455272037276196 T^{20} + 5395759401918343 T^{21} - 14854365761976256 T^{22} - 45251376273007683 T^{23} + 1589425924451203846 T^{24} + 1664187250621812335 T^{25} - 15797556610422547550 T^{26} + 5770841119178857117 T^{27} + \)\(86\!\cdots\!81\)\( T^{28} + \)\(76\!\cdots\!75\)\( T^{29} + \)\(25\!\cdots\!47\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 9 T^{2} + 110 T^{3} + 741 T^{4} + 3410 T^{5} + 8649 T^{6} + 923521 T^{8} \))(\( 1 - 10 T + 9 T^{2} + 310 T^{3} - 2359 T^{4} + 9610 T^{5} + 8649 T^{6} - 297910 T^{7} + 923521 T^{8} \))(\( 1 + 3 T - 12 T^{2} + 131 T^{3} + 1365 T^{4} + 4061 T^{5} - 11532 T^{6} + 89373 T^{7} + 923521 T^{8} \))(\( 1 - 7 T - 12 T^{2} + 121 T^{3} + 125 T^{4} + 3751 T^{5} - 11532 T^{6} - 208537 T^{7} + 923521 T^{8} \))(\( 1 + 10 T + 69 T^{2} + 380 T^{3} + 1661 T^{4} + 11780 T^{5} + 66309 T^{6} + 297910 T^{7} + 923521 T^{8} \))(\( 1 + 5 T - 6 T^{2} - 185 T^{3} - 739 T^{4} - 5735 T^{5} - 5766 T^{6} + 148955 T^{7} + 923521 T^{8} \))(\( 1 + 5 T - 6 T^{2} - 185 T^{3} - 739 T^{4} - 5735 T^{5} - 5766 T^{6} + 148955 T^{7} + 923521 T^{8} \))(\( 1 + T - 30 T^{2} - 61 T^{3} + 869 T^{4} - 1891 T^{5} - 28830 T^{6} + 29791 T^{7} + 923521 T^{8} \))(\( 1 + T - 30 T^{2} - 61 T^{3} + 869 T^{4} - 1891 T^{5} - 28830 T^{6} + 29791 T^{7} + 923521 T^{8} \))(\( 1 - 7 T - 12 T^{2} + 121 T^{3} + 125 T^{4} + 3751 T^{5} - 11532 T^{6} - 208537 T^{7} + 923521 T^{8} \))(\( 1 + 10 T + 69 T^{2} + 380 T^{3} + 1661 T^{4} + 11780 T^{5} + 66309 T^{6} + 297910 T^{7} + 923521 T^{8} \))(\( 1 + 3 T - 12 T^{2} + 131 T^{3} + 1365 T^{4} + 4061 T^{5} - 11532 T^{6} + 89373 T^{7} + 923521 T^{8} \))(\( 1 + 9 T^{2} + 110 T^{3} + 741 T^{4} + 3410 T^{5} + 8649 T^{6} + 923521 T^{8} \))(\( 1 - 10 T + 9 T^{2} + 310 T^{3} - 2359 T^{4} + 9610 T^{5} + 8649 T^{6} - 297910 T^{7} + 923521 T^{8} \))(\( ( 1 + T - 30 T^{2} - 61 T^{3} + 869 T^{4} - 1891 T^{5} - 28830 T^{6} + 29791 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 14 T + 29 T^{2} + 248 T^{3} + 530 T^{4} - 15954 T^{5} + 65935 T^{6} - 166230 T^{7} + 667951 T^{8} - 5153130 T^{9} + 63363535 T^{10} - 475285614 T^{11} + 489466130 T^{12} + 7100029448 T^{13} + 25737606749 T^{14} - 385176597554 T^{15} + 852891037441 T^{16} \))(\( 1 + 11 T + 34 T^{2} + 183 T^{3} + 3210 T^{4} + 12836 T^{5} - 31430 T^{6} + 25700 T^{7} + 2517721 T^{8} + 796700 T^{9} - 30204230 T^{10} + 382397276 T^{11} + 2964502410 T^{12} + 5239134633 T^{13} + 30175125154 T^{14} + 302638755221 T^{15} + 852891037441 T^{16} \))(\( ( 1 + T - 30 T^{2} - 61 T^{3} + 869 T^{4} - 1891 T^{5} - 28830 T^{6} + 29791 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 14 T + 29 T^{2} + 248 T^{3} + 530 T^{4} - 15954 T^{5} + 65935 T^{6} - 166230 T^{7} + 667951 T^{8} - 5153130 T^{9} + 63363535 T^{10} - 475285614 T^{11} + 489466130 T^{12} + 7100029448 T^{13} + 25737606749 T^{14} - 385176597554 T^{15} + 852891037441 T^{16} \))(\( 1 - 13 T + 26 T^{2} + 657 T^{3} - 5460 T^{4} + 15964 T^{5} + 22960 T^{6} - 713908 T^{7} + 7426341 T^{8} - 36420348 T^{9} + 3945344 T^{10} + 1142793028 T^{11} - 8639431253 T^{12} + 35426583868 T^{13} + 3791475584 T^{14} - 1084998587268 T^{15} + 6858381866661 T^{16} - 20438579932108 T^{17} + 20377084515760 T^{18} + 439211371668004 T^{19} - 4656785064427860 T^{20} + 17370831759560847 T^{21} + 21310335461500826 T^{22} - 330310199653262803 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 13 T + 26 T^{2} + 657 T^{3} - 5460 T^{4} + 15964 T^{5} + 22960 T^{6} - 713908 T^{7} + 7426341 T^{8} - 36420348 T^{9} + 3945344 T^{10} + 1142793028 T^{11} - 8639431253 T^{12} + 35426583868 T^{13} + 3791475584 T^{14} - 1084998587268 T^{15} + 6858381866661 T^{16} - 20438579932108 T^{17} + 20377084515760 T^{18} + 439211371668004 T^{19} - 4656785064427860 T^{20} + 17370831759560847 T^{21} + 21310335461500826 T^{22} - 330310199653262803 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 2 T - 75 T^{2} - 352 T^{3} + 2587 T^{4} + 15784 T^{5} - 75864 T^{6} - 435376 T^{7} + 3782312 T^{8} + 14561418 T^{9} - 150890523 T^{10} - 457844234 T^{11} + 4912277406 T^{12} + 5133296146 T^{13} - 182512228746 T^{14} + 17734057088 T^{15} + 6474843737997 T^{16} + 549755769728 T^{17} - 175394251824906 T^{18} + 152926025485486 T^{19} + 4536591342266526 T^{20} - 13107691709665334 T^{21} - 133915894590515163 T^{22} + 400622674342969398 T^{23} + 3225900005605543592 T^{24} - 11511176937824297296 T^{25} - 62180280363511487064 T^{26} + \)\(40\!\cdots\!04\)\( T^{27} + \)\(20\!\cdots\!07\)\( T^{28} - \)\(85\!\cdots\!32\)\( T^{29} - \)\(56\!\cdots\!75\)\( T^{30} + \)\(46\!\cdots\!02\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 2 T - 75 T^{2} - 352 T^{3} + 2587 T^{4} + 15784 T^{5} - 75864 T^{6} - 435376 T^{7} + 3782312 T^{8} + 14561418 T^{9} - 150890523 T^{10} - 457844234 T^{11} + 4912277406 T^{12} + 5133296146 T^{13} - 182512228746 T^{14} + 17734057088 T^{15} + 6474843737997 T^{16} + 549755769728 T^{17} - 175394251824906 T^{18} + 152926025485486 T^{19} + 4536591342266526 T^{20} - 13107691709665334 T^{21} - 133915894590515163 T^{22} + 400622674342969398 T^{23} + 3225900005605543592 T^{24} - 11511176937824297296 T^{25} - 62180280363511487064 T^{26} + \)\(40\!\cdots\!04\)\( T^{27} + \)\(20\!\cdots\!07\)\( T^{28} - \)\(85\!\cdots\!32\)\( T^{29} - \)\(56\!\cdots\!75\)\( T^{30} + \)\(46\!\cdots\!02\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 7 T + 13 T^{3} + 77 T^{4} - 8801 T^{5} - 22254 T^{6} + 56119 T^{7} - 947868 T^{8} + 3202093 T^{9} + 57615842 T^{10} - 102279009 T^{11} - 159564504 T^{12} + 5764151836 T^{13} - 36979480986 T^{14} - 181717554252 T^{15} + 841105835367 T^{16} - 5633244181812 T^{17} - 35537281227546 T^{18} + 171719847346276 T^{19} - 147361170298584 T^{20} - 2928161192791359 T^{21} + 51134271858914402 T^{22} + 88097949056534323 T^{23} - 808428121877125788 T^{24} + 1483765156034695849 T^{25} - 18240007898470745454 T^{26} - \)\(22\!\cdots\!31\)\( T^{27} + 60650034351718331597 T^{28} + \)\(31\!\cdots\!83\)\( T^{29} + \)\(16\!\cdots\!57\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 + 6 T + 39 T^{2} + 352 T^{3} + 3309 T^{4} + 13024 T^{5} + 53391 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 14 T + 39 T^{2} + 272 T^{3} - 2611 T^{4} + 10064 T^{5} + 53391 T^{6} - 709142 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 27 T^{2} - 20 T^{3} + 441 T^{4} - 740 T^{5} + 36963 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T + 27 T^{2} - 340 T^{3} + 3401 T^{4} - 12580 T^{5} + 36963 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T - T^{2} + 228 T^{3} - 1331 T^{4} + 8436 T^{5} - 1369 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 11 T + 84 T^{2} + 517 T^{3} + 2579 T^{4} + 19129 T^{5} + 114996 T^{6} + 557183 T^{7} + 1874161 T^{8} \))(\( 1 + 11 T + 84 T^{2} + 517 T^{3} + 2579 T^{4} + 19129 T^{5} + 114996 T^{6} + 557183 T^{7} + 1874161 T^{8} \))(\( 1 - 5 T - 12 T^{2} + 245 T^{3} - 781 T^{4} + 9065 T^{5} - 16428 T^{6} - 253265 T^{7} + 1874161 T^{8} \))(\( 1 - 5 T - 12 T^{2} + 245 T^{3} - 781 T^{4} + 9065 T^{5} - 16428 T^{6} - 253265 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T + 27 T^{2} - 340 T^{3} + 3401 T^{4} - 12580 T^{5} + 36963 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T - T^{2} + 228 T^{3} - 1331 T^{4} + 8436 T^{5} - 1369 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 27 T^{2} - 20 T^{3} + 441 T^{4} - 740 T^{5} + 36963 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 39 T^{2} + 352 T^{3} + 3309 T^{4} + 13024 T^{5} + 53391 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 14 T + 39 T^{2} + 272 T^{3} - 2611 T^{4} + 10064 T^{5} + 53391 T^{6} - 709142 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T - 10 T^{2} + 4 T^{3} - 501 T^{4} + 19492 T^{5} + 105276 T^{6} - 165312 T^{7} + 172261 T^{8} - 6116544 T^{9} + 144122844 T^{10} + 987328276 T^{11} - 938954661 T^{12} + 277375828 T^{13} - 25657264090 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} \))(\( 1 - T - 48 T^{2} + 175 T^{3} + 2760 T^{4} - 1334 T^{5} - 138534 T^{6} - 40270 T^{7} + 6227939 T^{8} - 1489990 T^{9} - 189653046 T^{10} - 67571102 T^{11} + 5172684360 T^{12} + 12135192475 T^{13} - 123154867632 T^{14} - 94931877133 T^{15} + 3512479453921 T^{16} \))(\( 1 - 6 T - 63 T^{2} + 520 T^{3} + 1350 T^{4} - 12954 T^{5} - 20209 T^{6} + 92390 T^{7} + 1366879 T^{8} + 3418430 T^{9} - 27666121 T^{10} - 656158962 T^{11} + 2530117350 T^{12} + 36058857640 T^{13} - 161640763767 T^{14} - 569591262798 T^{15} + 3512479453921 T^{16} \))(\( 1 + 4 T - 10 T^{2} + 4 T^{3} - 501 T^{4} + 19492 T^{5} + 105276 T^{6} - 165312 T^{7} + 172261 T^{8} - 6116544 T^{9} + 144122844 T^{10} + 987328276 T^{11} - 938954661 T^{12} + 277375828 T^{13} - 25657264090 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} \))(\( 1 - T - 48 T^{2} + 175 T^{3} + 2760 T^{4} - 1334 T^{5} - 138534 T^{6} - 40270 T^{7} + 6227939 T^{8} - 1489990 T^{9} - 189653046 T^{10} - 67571102 T^{11} + 5172684360 T^{12} + 12135192475 T^{13} - 123154867632 T^{14} - 94931877133 T^{15} + 3512479453921 T^{16} \))(\( 1 - 17 T + 106 T^{2} + 35 T^{3} - 5106 T^{4} + 24264 T^{5} + 104582 T^{6} - 1555984 T^{7} + 4789839 T^{8} + 22847880 T^{9} - 147468394 T^{10} - 903867842 T^{11} + 11727294013 T^{12} - 33443110154 T^{13} - 201884231386 T^{14} + 1157313665640 T^{15} + 8976929450079 T^{16} - 107898087588688 T^{17} + 268328799306038 T^{18} + 2303427066755112 T^{19} - 17934720091720626 T^{20} + 4548660892827695 T^{21} + 509709943476291994 T^{22} - 3024599570250827021 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 17 T + 106 T^{2} + 35 T^{3} - 5106 T^{4} + 24264 T^{5} + 104582 T^{6} - 1555984 T^{7} + 4789839 T^{8} + 22847880 T^{9} - 147468394 T^{10} - 903867842 T^{11} + 11727294013 T^{12} - 33443110154 T^{13} - 201884231386 T^{14} + 1157313665640 T^{15} + 8976929450079 T^{16} - 107898087588688 T^{17} + 268328799306038 T^{18} + 2303427066755112 T^{19} - 17934720091720626 T^{20} + 4548660892827695 T^{21} + 509709943476291994 T^{22} - 3024599570250827021 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 11 T - 74 T^{2} - 1323 T^{3} + 1923 T^{4} + 97285 T^{5} + 90914 T^{6} - 5713113 T^{7} - 17349512 T^{8} + 265295915 T^{9} + 1411267662 T^{10} - 9905347845 T^{11} - 84217332664 T^{12} + 276882360296 T^{13} + 4072917985018 T^{14} - 3748231783796 T^{15} - 163433617792703 T^{16} - 138684576000452 T^{17} + 5575824721489642 T^{18} + 14024922196073288 T^{19} - 157836840402894904 T^{20} - 686876015033722665 T^{21} + 3620926710561085758 T^{22} + 25185039206666811695 T^{23} - 60939804435555836552 T^{24} - \)\(74\!\cdots\!01\)\( T^{25} + \)\(43\!\cdots\!86\)\( T^{26} + \)\(17\!\cdots\!05\)\( T^{27} + \)\(12\!\cdots\!63\)\( T^{28} - \)\(32\!\cdots\!31\)\( T^{29} - \)\(66\!\cdots\!86\)\( T^{30} + \)\(36\!\cdots\!23\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 11 T - 74 T^{2} - 1323 T^{3} + 1923 T^{4} + 97285 T^{5} + 90914 T^{6} - 5713113 T^{7} - 17349512 T^{8} + 265295915 T^{9} + 1411267662 T^{10} - 9905347845 T^{11} - 84217332664 T^{12} + 276882360296 T^{13} + 4072917985018 T^{14} - 3748231783796 T^{15} - 163433617792703 T^{16} - 138684576000452 T^{17} + 5575824721489642 T^{18} + 14024922196073288 T^{19} - 157836840402894904 T^{20} - 686876015033722665 T^{21} + 3620926710561085758 T^{22} + 25185039206666811695 T^{23} - 60939804435555836552 T^{24} - \)\(74\!\cdots\!01\)\( T^{25} + \)\(43\!\cdots\!86\)\( T^{26} + \)\(17\!\cdots\!05\)\( T^{27} + \)\(12\!\cdots\!63\)\( T^{28} - \)\(32\!\cdots\!31\)\( T^{29} - \)\(66\!\cdots\!86\)\( T^{30} + \)\(36\!\cdots\!23\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 4 T - 64 T^{2} + 392 T^{3} + 2308 T^{4} - 10820 T^{5} - 47691 T^{6} - 31178 T^{7} + 2748163 T^{8} + 12045860 T^{9} - 124307808 T^{10} - 75116270 T^{11} + 4767089611 T^{12} - 456957494 T^{13} - 122520873497 T^{14} + 217199596514 T^{15} + 4709853143282 T^{16} + 8036385071018 T^{17} - 167731075817393 T^{18} - 23146267943582 T^{19} + 8934293432441371 T^{20} - 5208859396880390 T^{21} - 318939825830501472 T^{22} + 1143536101481319380 T^{23} + 9652866073525897123 T^{24} - 4051947123330910706 T^{25} - \)\(22\!\cdots\!59\)\( T^{26} - \)\(19\!\cdots\!60\)\( T^{27} + \)\(15\!\cdots\!48\)\( T^{28} + \)\(95\!\cdots\!24\)\( T^{29} - \)\(57\!\cdots\!96\)\( T^{30} - \)\(13\!\cdots\!72\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 - 4 T + 55 T^{2} - 326 T^{3} + 1389 T^{4} - 13366 T^{5} + 92455 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 14 T + 55 T^{2} - 434 T^{3} - 5991 T^{4} - 17794 T^{5} + 92455 T^{6} + 964894 T^{7} + 2825761 T^{8} \))(\( 1 + 25 T + 334 T^{2} + 3125 T^{3} + 22431 T^{4} + 128125 T^{5} + 561454 T^{6} + 1723025 T^{7} + 2825761 T^{8} \))(\( 1 + 25 T + 334 T^{2} + 3125 T^{3} + 22431 T^{4} + 128125 T^{5} + 561454 T^{6} + 1723025 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T - 25 T^{2} - 264 T^{3} - 31 T^{4} - 10824 T^{5} - 42025 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 6 T - 5 T^{2} - 276 T^{3} - 1451 T^{4} - 11316 T^{5} - 8405 T^{6} + 413526 T^{7} + 2825761 T^{8} \))(\( 1 - 6 T - 5 T^{2} + 276 T^{3} - 1451 T^{4} + 11316 T^{5} - 8405 T^{6} - 413526 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T - 37 T^{2} - 156 T^{3} + 1205 T^{4} - 6396 T^{5} - 62197 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 - 2 T - 37 T^{2} + 156 T^{3} + 1205 T^{4} + 6396 T^{5} - 62197 T^{6} - 137842 T^{7} + 2825761 T^{8} \))(\( 1 - 25 T + 334 T^{2} - 3125 T^{3} + 22431 T^{4} - 128125 T^{5} + 561454 T^{6} - 1723025 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T - 25 T^{2} + 264 T^{3} - 31 T^{4} + 10824 T^{5} - 42025 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 25 T + 334 T^{2} - 3125 T^{3} + 22431 T^{4} - 128125 T^{5} + 561454 T^{6} - 1723025 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 55 T^{2} + 326 T^{3} + 1389 T^{4} + 13366 T^{5} + 92455 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 14 T + 55 T^{2} + 434 T^{3} - 5991 T^{4} + 17794 T^{5} + 92455 T^{6} - 964894 T^{7} + 2825761 T^{8} \))(\( ( 1 + 7 T + 8 T^{2} - 231 T^{3} - 1945 T^{4} - 9471 T^{5} + 13448 T^{6} + 482447 T^{7} + 2825761 T^{8} )^{2} \))(\( 1 - 18 T + 145 T^{2} - 1046 T^{3} + 9461 T^{4} - 59718 T^{5} + 237483 T^{6} - 1463634 T^{7} + 11961308 T^{8} - 60008994 T^{9} + 399208923 T^{10} - 4115824278 T^{11} + 26734524821 T^{12} - 121185586246 T^{13} + 688765114945 T^{14} - 3505576929858 T^{15} + 7984925229121 T^{16} \))(\( 1 - 22 T + 160 T^{2} - 414 T^{3} + 2641 T^{4} - 46342 T^{5} + 334288 T^{6} - 1062556 T^{7} + 2274033 T^{8} - 43564796 T^{9} + 561938128 T^{10} - 3193936982 T^{11} + 7462834801 T^{12} - 47964467214 T^{13} + 760016678560 T^{14} - 4284594025382 T^{15} + 7984925229121 T^{16} \))(\( ( 1 - 7 T + 8 T^{2} + 231 T^{3} - 1945 T^{4} + 9471 T^{5} + 13448 T^{6} - 482447 T^{7} + 2825761 T^{8} )^{2} \))(\( 1 + 18 T + 145 T^{2} + 1046 T^{3} + 9461 T^{4} + 59718 T^{5} + 237483 T^{6} + 1463634 T^{7} + 11961308 T^{8} + 60008994 T^{9} + 399208923 T^{10} + 4115824278 T^{11} + 26734524821 T^{12} + 121185586246 T^{13} + 688765114945 T^{14} + 3505576929858 T^{15} + 7984925229121 T^{16} \))(\( 1 + 16 T + 67 T^{2} - 560 T^{3} - 7100 T^{4} - 28000 T^{5} - 43388 T^{6} - 246672 T^{7} + 616013 T^{8} + 60687280 T^{9} + 471922140 T^{10} - 387365904 T^{11} - 19332075665 T^{12} - 15882002064 T^{13} + 793301117340 T^{14} + 4182628024880 T^{15} + 1740705510893 T^{16} - 28578480813072 T^{17} - 206097522808508 T^{18} - 5453119668668000 T^{19} - 56692969126759100 T^{20} - 183333883260618160 T^{21} + 899318173780210867 T^{22} + 8805264507459975056 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 16 T + 67 T^{2} + 560 T^{3} - 7100 T^{4} + 28000 T^{5} - 43388 T^{6} + 246672 T^{7} + 616013 T^{8} - 60687280 T^{9} + 471922140 T^{10} + 387365904 T^{11} - 19332075665 T^{12} + 15882002064 T^{13} + 793301117340 T^{14} - 4182628024880 T^{15} + 1740705510893 T^{16} + 28578480813072 T^{17} - 206097522808508 T^{18} + 5453119668668000 T^{19} - 56692969126759100 T^{20} + 183333883260618160 T^{21} + 899318173780210867 T^{22} - 8805264507459975056 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 20 T + 7 T^{2} - 2422 T^{3} - 13592 T^{4} + 89190 T^{5} + 972960 T^{6} + 955362 T^{7} - 17703016 T^{8} - 127968546 T^{9} - 596716619 T^{10} + 1461391100 T^{11} + 26017347843 T^{12} + 43282378760 T^{13} - 65439843920 T^{14} - 655546700040 T^{15} - 12524609697280 T^{16} - 26877414701640 T^{17} - 110004377629520 T^{18} + 2983064826517960 T^{19} + 73518806858183523 T^{20} + 169311221021211100 T^{21} - 2834466142587081179 T^{22} - 24922421255837347026 T^{23} - \)\(14\!\cdots\!36\)\( T^{24} + \)\(31\!\cdots\!82\)\( T^{25} + \)\(13\!\cdots\!60\)\( T^{26} + \)\(49\!\cdots\!90\)\( T^{27} - \)\(30\!\cdots\!52\)\( T^{28} - \)\(22\!\cdots\!62\)\( T^{29} + \)\(26\!\cdots\!27\)\( T^{30} + \)\(31\!\cdots\!20\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 20 T + 7 T^{2} + 2422 T^{3} - 13592 T^{4} - 89190 T^{5} + 972960 T^{6} - 955362 T^{7} - 17703016 T^{8} + 127968546 T^{9} - 596716619 T^{10} - 1461391100 T^{11} + 26017347843 T^{12} - 43282378760 T^{13} - 65439843920 T^{14} + 655546700040 T^{15} - 12524609697280 T^{16} + 26877414701640 T^{17} - 110004377629520 T^{18} - 2983064826517960 T^{19} + 73518806858183523 T^{20} - 169311221021211100 T^{21} - 2834466142587081179 T^{22} + 24922421255837347026 T^{23} - \)\(14\!\cdots\!36\)\( T^{24} - \)\(31\!\cdots\!82\)\( T^{25} + \)\(13\!\cdots\!60\)\( T^{26} - \)\(49\!\cdots\!90\)\( T^{27} - \)\(30\!\cdots\!52\)\( T^{28} + \)\(22\!\cdots\!62\)\( T^{29} + \)\(26\!\cdots\!27\)\( T^{30} - \)\(31\!\cdots\!20\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 10 T + 32 T^{2} - 192 T^{3} + 5438 T^{4} - 48920 T^{5} + 140400 T^{6} - 769008 T^{7} + 14682039 T^{8} - 96831496 T^{9} + 182717296 T^{10} - 1985070190 T^{11} + 32206741548 T^{12} - 131499578440 T^{13} + 27334729480 T^{14} - 4391234846920 T^{15} + 62202943867805 T^{16} - 180040628723720 T^{17} + 45949680255880 T^{18} - 9063082445663240 T^{19} + 91008554203418028 T^{20} - 229982690931748190 T^{21} + 867926202633652336 T^{22} - 18858347692290955976 T^{23} + \)\(11\!\cdots\!19\)\( T^{24} - \)\(25\!\cdots\!88\)\( T^{25} + \)\(18\!\cdots\!00\)\( T^{26} - \)\(26\!\cdots\!20\)\( T^{27} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(17\!\cdots\!32\)\( T^{29} + \)\(12\!\cdots\!52\)\( T^{30} - \)\(15\!\cdots\!10\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 5 T - 9 T^{2} - 215 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 5 T - 9 T^{2} + 215 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 5 T - 9 T^{2} - 215 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 12 T + 43 T^{2} )^{4} \))(\( ( 1 + 5 T - 9 T^{2} + 215 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 7 T + 95 T^{2} - 301 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 45 T^{2} + 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 7 T + 95 T^{2} + 301 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 45 T^{2} + 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 - 4 T + 101 T^{2} - 312 T^{3} + 4343 T^{4} - 7396 T^{5} + 79507 T^{6} )^{4} \))(\( ( 1 + 4 T + 101 T^{2} + 312 T^{3} + 4343 T^{4} + 7396 T^{5} + 79507 T^{6} )^{4} \))(\( ( 1 - 4 T + 239 T^{2} - 936 T^{3} + 27462 T^{4} - 98508 T^{5} + 2007760 T^{6} - 6271668 T^{7} + 102278657 T^{8} - 269681724 T^{9} + 3712348240 T^{10} - 7832075556 T^{11} + 93887113062 T^{12} - 137599902648 T^{13} + 1510805768711 T^{14} - 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 4 T + 239 T^{2} + 936 T^{3} + 27462 T^{4} + 98508 T^{5} + 2007760 T^{6} + 6271668 T^{7} + 102278657 T^{8} + 269681724 T^{9} + 3712348240 T^{10} + 7832075556 T^{11} + 93887113062 T^{12} + 137599902648 T^{13} + 1510805768711 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 4 T + 239 T^{2} - 936 T^{3} + 27462 T^{4} - 98508 T^{5} + 2007760 T^{6} - 6271668 T^{7} + 102278657 T^{8} - 269681724 T^{9} + 3712348240 T^{10} - 7832075556 T^{11} + 93887113062 T^{12} - 137599902648 T^{13} + 1510805768711 T^{14} - 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 10 T - 7 T^{2} - 470 T^{3} - 3031 T^{4} - 22090 T^{5} - 15463 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 7 T^{2} - 270 T^{3} + 1669 T^{4} - 12690 T^{5} - 15463 T^{6} + 4879681 T^{8} \))(\( 1 - 8 T - 13 T^{2} + 430 T^{3} - 2449 T^{4} + 20210 T^{5} - 28717 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 3 T - 13 T^{2} + 285 T^{3} + 136 T^{4} + 13395 T^{5} - 28717 T^{6} - 311469 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 53 T^{2} - 60 T^{3} - 1891 T^{4} - 2820 T^{5} + 117077 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 47 T^{2} + 2209 T^{4} - 103823 T^{6} + 4879681 T^{8} \))(\( 1 - 47 T^{2} + 2209 T^{4} - 103823 T^{6} + 4879681 T^{8} \))(\( 1 + 8 T + 17 T^{2} - 240 T^{3} - 2719 T^{4} - 11280 T^{5} + 37553 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 17 T^{2} - 240 T^{3} - 2719 T^{4} - 11280 T^{5} + 37553 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 3 T - 13 T^{2} + 285 T^{3} + 136 T^{4} + 13395 T^{5} - 28717 T^{6} - 311469 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 53 T^{2} - 60 T^{3} - 1891 T^{4} - 2820 T^{5} + 117077 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T - 13 T^{2} + 430 T^{3} - 2449 T^{4} + 20210 T^{5} - 28717 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T - 7 T^{2} - 470 T^{3} - 3031 T^{4} - 22090 T^{5} - 15463 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 7 T^{2} - 270 T^{3} + 1669 T^{4} - 12690 T^{5} - 15463 T^{6} + 4879681 T^{8} \))(\( 1 + 7 T - 28 T^{2} - 406 T^{3} - 592 T^{4} + 33551 T^{5} + 208719 T^{6} - 420308 T^{7} - 6667512 T^{8} - 19754476 T^{9} + 461060271 T^{10} + 3483365473 T^{11} - 2888771152 T^{12} - 93114072842 T^{13} - 301818029212 T^{14} + 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 - 7 T + 85 T^{2} - 1176 T^{3} + 9351 T^{4} - 81508 T^{5} + 731706 T^{6} - 5276705 T^{7} + 35329489 T^{8} - 248005135 T^{9} + 1616338554 T^{10} - 8462405084 T^{11} + 45629897031 T^{12} - 269709728232 T^{13} + 916233302965 T^{14} - 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 - 7 T - 100 T^{2} + 1414 T^{3} + 286 T^{4} - 103523 T^{5} + 579636 T^{6} + 2543800 T^{7} - 42803781 T^{8} + 119558600 T^{9} + 1280415924 T^{10} - 10748068429 T^{11} + 1395588766 T^{12} + 324293839898 T^{13} - 1077921532900 T^{14} - 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 + 7 T - 28 T^{2} - 406 T^{3} - 592 T^{4} + 33551 T^{5} + 208719 T^{6} - 420308 T^{7} - 6667512 T^{8} - 19754476 T^{9} + 461060271 T^{10} + 3483365473 T^{11} - 2888771152 T^{12} - 93114072842 T^{13} - 301818029212 T^{14} + 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 - 7 T + 85 T^{2} - 1176 T^{3} + 9351 T^{4} - 81508 T^{5} + 731706 T^{6} - 5276705 T^{7} + 35329489 T^{8} - 248005135 T^{9} + 1616338554 T^{10} - 8462405084 T^{11} + 45629897031 T^{12} - 269709728232 T^{13} + 916233302965 T^{14} - 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 + 4 T - 111 T^{2} - 568 T^{3} + 7392 T^{4} + 49396 T^{5} - 365232 T^{6} - 2901388 T^{7} + 16129633 T^{8} + 122188172 T^{9} - 498402320 T^{10} - 2354973940 T^{11} + 16802495119 T^{12} - 110683775180 T^{13} - 1100970724880 T^{14} + 12685942581556 T^{15} + 78707463687073 T^{16} - 665418851169716 T^{17} - 3936914373041328 T^{18} + 25025155658390348 T^{19} + 176013031003737312 T^{20} - 635666108722371656 T^{21} - 5838503678177135439 T^{22} + 9888636860336049212 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T - 111 T^{2} - 568 T^{3} + 7392 T^{4} + 49396 T^{5} - 365232 T^{6} - 2901388 T^{7} + 16129633 T^{8} + 122188172 T^{9} - 498402320 T^{10} - 2354973940 T^{11} + 16802495119 T^{12} - 110683775180 T^{13} - 1100970724880 T^{14} + 12685942581556 T^{15} + 78707463687073 T^{16} - 665418851169716 T^{17} - 3936914373041328 T^{18} + 25025155658390348 T^{19} + 176013031003737312 T^{20} - 635666108722371656 T^{21} - 5838503678177135439 T^{22} + 9888636860336049212 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T - 89 T^{2} + 202 T^{3} + 4968 T^{4} + 21827 T^{5} + 11495 T^{6} - 2393311 T^{7} - 19649733 T^{8} + 35705166 T^{9} + 1391558095 T^{10} + 7499381673 T^{11} - 30821621912 T^{12} - 590826226892 T^{13} - 1975676885408 T^{14} + 14803300228298 T^{15} + 164951174929905 T^{16} + 695755110730006 T^{17} - 4364270239866272 T^{18} - 61341351354608116 T^{19} - 150399682833170072 T^{20} + 1719945742289856711 T^{21} + 14999904348818038255 T^{22} + 18089062615569411858 T^{23} - \)\(46\!\cdots\!13\)\( T^{24} - \)\(26\!\cdots\!37\)\( T^{25} + \)\(60\!\cdots\!55\)\( T^{26} + \)\(53\!\cdots\!81\)\( T^{27} + \)\(57\!\cdots\!88\)\( T^{28} + \)\(11\!\cdots\!54\)\( T^{29} - \)\(22\!\cdots\!41\)\( T^{30} - \)\(84\!\cdots\!01\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 7 T - 89 T^{2} + 202 T^{3} + 4968 T^{4} + 21827 T^{5} + 11495 T^{6} - 2393311 T^{7} - 19649733 T^{8} + 35705166 T^{9} + 1391558095 T^{10} + 7499381673 T^{11} - 30821621912 T^{12} - 590826226892 T^{13} - 1975676885408 T^{14} + 14803300228298 T^{15} + 164951174929905 T^{16} + 695755110730006 T^{17} - 4364270239866272 T^{18} - 61341351354608116 T^{19} - 150399682833170072 T^{20} + 1719945742289856711 T^{21} + 14999904348818038255 T^{22} + 18089062615569411858 T^{23} - \)\(46\!\cdots\!13\)\( T^{24} - \)\(26\!\cdots\!37\)\( T^{25} + \)\(60\!\cdots\!55\)\( T^{26} + \)\(53\!\cdots\!81\)\( T^{27} + \)\(57\!\cdots\!88\)\( T^{28} + \)\(11\!\cdots\!54\)\( T^{29} - \)\(22\!\cdots\!41\)\( T^{30} - \)\(84\!\cdots\!01\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 23 T + 186 T^{2} + 322 T^{3} - 4127 T^{4} - 30138 T^{5} - 70920 T^{6} + 1094344 T^{7} + 18527582 T^{8} + 119631636 T^{9} + 262096090 T^{10} - 2200503287 T^{11} - 30693701772 T^{12} - 88025997822 T^{13} + 1410058928022 T^{14} + 15969608141898 T^{15} + 104939392199145 T^{16} + 750571582669206 T^{17} + 3114820172000598 T^{18} - 9139123171873506 T^{19} - 149775473356494732 T^{20} - 504674441760538009 T^{21} + 2825190190998963610 T^{22} + 60608152736413767468 T^{23} + \)\(44\!\cdots\!02\)\( T^{24} + \)\(12\!\cdots\!48\)\( T^{25} - \)\(37\!\cdots\!80\)\( T^{26} - \)\(74\!\cdots\!14\)\( T^{27} - \)\(47\!\cdots\!07\)\( T^{28} + \)\(17\!\cdots\!94\)\( T^{29} + \)\(47\!\cdots\!34\)\( T^{30} + \)\(27\!\cdots\!89\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - 6 T + 23 T^{2} - 480 T^{3} + 5581 T^{4} - 25440 T^{5} + 64607 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 + 14 T + 23 T^{2} - 400 T^{3} - 2899 T^{4} - 21200 T^{5} + 64607 T^{6} + 2084278 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 37 T^{2} + 360 T^{3} + 121 T^{4} + 19080 T^{5} - 103933 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - T - 37 T^{2} + 305 T^{3} + 1976 T^{4} + 16165 T^{5} - 103933 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - T - 37 T^{2} + 305 T^{3} + 1976 T^{4} + 16165 T^{5} - 103933 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 17 T^{2} + 420 T^{3} - 1619 T^{4} + 22260 T^{5} - 47753 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T - 37 T^{2} + 360 T^{3} + 121 T^{4} + 19080 T^{5} - 103933 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T + 23 T^{2} - 480 T^{3} + 5581 T^{4} - 25440 T^{5} + 64607 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 + 14 T + 23 T^{2} - 400 T^{3} - 2899 T^{4} - 21200 T^{5} + 64607 T^{6} + 2084278 T^{7} + 7890481 T^{8} \))(\( 1 - 15 T + 92 T^{2} - 180 T^{3} - 420 T^{4} - 4065 T^{5} + 1507 T^{6} + 1357560 T^{7} - 16152376 T^{8} + 71950680 T^{9} + 4233163 T^{10} - 605185005 T^{11} - 3314002020 T^{12} - 75275188740 T^{13} + 2039121223868 T^{14} - 17620667097555 T^{15} + 62259690411361 T^{16} \))(\( 1 - 7 T + 132 T^{2} - 1421 T^{3} + 16876 T^{4} - 131512 T^{5} + 1370850 T^{6} - 9985608 T^{7} + 80785479 T^{8} - 529237224 T^{9} + 3850717650 T^{10} - 19579112024 T^{11} + 133159757356 T^{12} - 594255795553 T^{13} + 2925695669028 T^{14} - 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 - 2 T - 173 T^{2} + 964 T^{3} + 9936 T^{4} - 104742 T^{5} + 122655 T^{6} + 3229712 T^{7} - 31796061 T^{8} + 171174736 T^{9} + 344537895 T^{10} - 15593674734 T^{11} + 78399819216 T^{12} + 403140455252 T^{13} - 3834434475317 T^{14} - 2349422279674 T^{15} + 62259690411361 T^{16} \))(\( 1 - 15 T + 92 T^{2} - 180 T^{3} - 420 T^{4} - 4065 T^{5} + 1507 T^{6} + 1357560 T^{7} - 16152376 T^{8} + 71950680 T^{9} + 4233163 T^{10} - 605185005 T^{11} - 3314002020 T^{12} - 75275188740 T^{13} + 2039121223868 T^{14} - 17620667097555 T^{15} + 62259690411361 T^{16} \))(\( 1 - 7 T + 132 T^{2} - 1421 T^{3} + 16876 T^{4} - 131512 T^{5} + 1370850 T^{6} - 9985608 T^{7} + 80785479 T^{8} - 529237224 T^{9} + 3850717650 T^{10} - 19579112024 T^{11} + 133159757356 T^{12} - 594255795553 T^{13} + 2925695669028 T^{14} - 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 - 10 T - 59 T^{2} + 1184 T^{3} - 926 T^{4} - 69722 T^{5} + 294406 T^{6} + 2232546 T^{7} - 16364317 T^{8} - 47271754 T^{9} + 615669366 T^{10} + 954847470 T^{11} - 28997636753 T^{12} + 50606915910 T^{13} + 1729415249094 T^{14} - 7037676920258 T^{15} - 129122332366477 T^{16} + 933640675115178 T^{17} + 6525320902544374 T^{18} - 81903210091715314 T^{19} - 57652473320920286 T^{20} + 3906920092693725472 T^{21} - 10318360751565269891 T^{22} - 92690359293721915970 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 10 T - 59 T^{2} + 1184 T^{3} - 926 T^{4} - 69722 T^{5} + 294406 T^{6} + 2232546 T^{7} - 16364317 T^{8} - 47271754 T^{9} + 615669366 T^{10} + 954847470 T^{11} - 28997636753 T^{12} + 50606915910 T^{13} + 1729415249094 T^{14} - 7037676920258 T^{15} - 129122332366477 T^{16} + 933640675115178 T^{17} + 6525320902544374 T^{18} - 81903210091715314 T^{19} - 57652473320920286 T^{20} + 3906920092693725472 T^{21} - 10318360751565269891 T^{22} - 92690359293721915970 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 41 T + 698 T^{2} + 5865 T^{3} + 18415 T^{4} - 17787 T^{5} + 1184038 T^{6} + 25764329 T^{7} + 182959840 T^{8} + 399954485 T^{9} - 220252678 T^{10} + 21803507967 T^{11} + 208503614596 T^{12} - 375622782850 T^{13} - 10836301461310 T^{14} - 2007212797106 T^{15} + 469856653928949 T^{16} - 106382278246618 T^{17} - 30439170804819790 T^{18} - 55921593042359450 T^{19} + 1645193809401060676 T^{20} + 9118128763388992731 T^{21} - 4881759894821353462 T^{22} + \)\(46\!\cdots\!45\)\( T^{23} + \)\(11\!\cdots\!40\)\( T^{24} + \)\(85\!\cdots\!57\)\( T^{25} + \)\(20\!\cdots\!62\)\( T^{26} - \)\(16\!\cdots\!39\)\( T^{27} + \)\(90\!\cdots\!15\)\( T^{28} + \)\(15\!\cdots\!45\)\( T^{29} + \)\(96\!\cdots\!62\)\( T^{30} + \)\(29\!\cdots\!37\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 41 T + 698 T^{2} + 5865 T^{3} + 18415 T^{4} - 17787 T^{5} + 1184038 T^{6} + 25764329 T^{7} + 182959840 T^{8} + 399954485 T^{9} - 220252678 T^{10} + 21803507967 T^{11} + 208503614596 T^{12} - 375622782850 T^{13} - 10836301461310 T^{14} - 2007212797106 T^{15} + 469856653928949 T^{16} - 106382278246618 T^{17} - 30439170804819790 T^{18} - 55921593042359450 T^{19} + 1645193809401060676 T^{20} + 9118128763388992731 T^{21} - 4881759894821353462 T^{22} + \)\(46\!\cdots\!45\)\( T^{23} + \)\(11\!\cdots\!40\)\( T^{24} + \)\(85\!\cdots\!57\)\( T^{25} + \)\(20\!\cdots\!62\)\( T^{26} - \)\(16\!\cdots\!39\)\( T^{27} + \)\(90\!\cdots\!15\)\( T^{28} + \)\(15\!\cdots\!45\)\( T^{29} + \)\(96\!\cdots\!62\)\( T^{30} + \)\(29\!\cdots\!37\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 4 T - 22 T^{2} - 440 T^{3} + 660 T^{4} + 49868 T^{5} + 140113 T^{6} - 2285596 T^{7} - 15873165 T^{8} - 76638860 T^{9} + 1323931162 T^{10} + 10376469922 T^{11} - 35381234389 T^{12} - 446229246850 T^{13} - 3132652820265 T^{14} + 9035271835264 T^{15} + 292112805840914 T^{16} + 478869407268992 T^{17} - 8799621772124385 T^{18} - 66433271583287450 T^{19} - 279174957702951109 T^{20} + 4339392954630461546 T^{21} + 29344088384504601898 T^{22} - 90028522586408265820 T^{23} - \)\(98\!\cdots\!65\)\( T^{24} - \)\(75\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!37\)\( T^{26} + \)\(46\!\cdots\!96\)\( T^{27} + \)\(32\!\cdots\!60\)\( T^{28} - \)\(11\!\cdots\!20\)\( T^{29} - \)\(30\!\cdots\!18\)\( T^{30} - \)\(29\!\cdots\!28\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 6 T - 43 T^{2} - 102 T^{3} + 3025 T^{4} - 6018 T^{5} - 149683 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T - 43 T^{2} - 142 T^{3} + 4205 T^{4} - 8378 T^{5} - 149683 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T + 65 T^{2} - 642 T^{3} - 8141 T^{4} - 37878 T^{5} + 226265 T^{6} + 3696822 T^{7} + 12117361 T^{8} \))(\( 1 - 7 T + 65 T^{2} - 667 T^{3} + 8084 T^{4} - 39353 T^{5} + 226265 T^{6} - 1437653 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T - 55 T^{2} - 228 T^{3} + 2789 T^{4} - 13452 T^{5} - 191455 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 9 T + 22 T^{2} + 333 T^{3} - 4295 T^{4} + 19647 T^{5} + 76582 T^{6} - 1848411 T^{7} + 12117361 T^{8} \))(\( 1 - 9 T + 22 T^{2} + 333 T^{3} - 4295 T^{4} + 19647 T^{5} + 76582 T^{6} - 1848411 T^{7} + 12117361 T^{8} \))(\( 1 + 3 T - 50 T^{2} - 327 T^{3} + 1969 T^{4} - 19293 T^{5} - 174050 T^{6} + 616137 T^{7} + 12117361 T^{8} \))(\( 1 + 3 T - 50 T^{2} - 327 T^{3} + 1969 T^{4} - 19293 T^{5} - 174050 T^{6} + 616137 T^{7} + 12117361 T^{8} \))(\( 1 - 7 T + 65 T^{2} - 667 T^{3} + 8084 T^{4} - 39353 T^{5} + 226265 T^{6} - 1437653 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T - 55 T^{2} - 228 T^{3} + 2789 T^{4} - 13452 T^{5} - 191455 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T + 65 T^{2} - 642 T^{3} - 8141 T^{4} - 37878 T^{5} + 226265 T^{6} + 3696822 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T - 43 T^{2} - 102 T^{3} + 3025 T^{4} - 6018 T^{5} - 149683 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T - 43 T^{2} - 142 T^{3} + 4205 T^{4} - 8378 T^{5} - 149683 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 17 T + 102 T^{2} - 442 T^{3} - 13018 T^{4} - 109735 T^{5} - 229517 T^{6} + 5100204 T^{7} + 64874600 T^{8} + 300912036 T^{9} - 798948677 T^{10} - 22537264565 T^{11} - 157743805498 T^{12} - 315996540158 T^{13} + 4302414431382 T^{14} + 42307075241923 T^{15} + 146830437604321 T^{16} \))(\( 1 - 9 T^{2} + 800 T^{3} + 2280 T^{4} - 15200 T^{5} + 247289 T^{6} + 987600 T^{7} - 4469641 T^{8} + 58268400 T^{9} + 860813009 T^{10} - 3121760800 T^{11} + 27627583080 T^{12} + 571939439200 T^{13} - 379624802769 T^{14} + 146830437604321 T^{16} \))(\( 1 - 25 T + 206 T^{2} + 25 T^{3} - 15220 T^{4} + 157300 T^{5} - 429276 T^{6} - 8492650 T^{7} + 113408229 T^{8} - 501066350 T^{9} - 1494309756 T^{10} + 32306116700 T^{11} - 184426234420 T^{12} + 17873107475 T^{13} + 8689189930046 T^{14} - 62216287120475 T^{15} + 146830437604321 T^{16} \))(\( 1 + 17 T + 102 T^{2} - 442 T^{3} - 13018 T^{4} - 109735 T^{5} - 229517 T^{6} + 5100204 T^{7} + 64874600 T^{8} + 300912036 T^{9} - 798948677 T^{10} - 22537264565 T^{11} - 157743805498 T^{12} - 315996540158 T^{13} + 4302414431382 T^{14} + 42307075241923 T^{15} + 146830437604321 T^{16} \))(\( 1 - 9 T^{2} + 800 T^{3} + 2280 T^{4} - 15200 T^{5} + 247289 T^{6} + 987600 T^{7} - 4469641 T^{8} + 58268400 T^{9} + 860813009 T^{10} - 3121760800 T^{11} + 27627583080 T^{12} + 571939439200 T^{13} - 379624802769 T^{14} + 146830437604321 T^{16} \))(\( 1 + T - 170 T^{2} - 221 T^{3} + 18880 T^{4} + 19352 T^{5} - 1722416 T^{6} - 1333488 T^{7} + 139186697 T^{8} + 76390936 T^{9} - 9605185704 T^{10} - 2482296192 T^{11} + 594022989415 T^{12} - 146455475328 T^{13} - 33435651435624 T^{14} + 15689094044744 T^{15} + 1686575453946617 T^{16} - 953342973624912 T^{17} - 72652426031796656 T^{18} + 48160383534217288 T^{19} + 2772158661969580480 T^{20} - 1914522075922741519 T^{21} - 86889848061109038170 T^{22} + 30155888444737842659 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + T - 170 T^{2} - 221 T^{3} + 18880 T^{4} + 19352 T^{5} - 1722416 T^{6} - 1333488 T^{7} + 139186697 T^{8} + 76390936 T^{9} - 9605185704 T^{10} - 2482296192 T^{11} + 594022989415 T^{12} - 146455475328 T^{13} - 33435651435624 T^{14} + 15689094044744 T^{15} + 1686575453946617 T^{16} - 953342973624912 T^{17} - 72652426031796656 T^{18} + 48160383534217288 T^{19} + 2772158661969580480 T^{20} - 1914522075922741519 T^{21} - 86889848061109038170 T^{22} + 30155888444737842659 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 18 T + 25 T^{2} - 860 T^{3} + 7311 T^{4} + 177528 T^{5} + 280250 T^{6} - 9281880 T^{7} - 6546264 T^{8} + 769859398 T^{9} + 2676500529 T^{10} - 31642972128 T^{11} - 147191476614 T^{12} + 1958975281938 T^{13} + 18358900572134 T^{14} + 6395455699032 T^{15} - 550800860184419 T^{16} + 377331886242888 T^{17} + 63907332891598454 T^{18} + 402332384429144502 T^{19} - 1783572258254895654 T^{20} - 22622329666886938272 T^{21} + \)\(11\!\cdots\!89\)\( T^{22} + \)\(19\!\cdots\!62\)\( T^{23} - \)\(96\!\cdots\!44\)\( T^{24} - \)\(80\!\cdots\!20\)\( T^{25} + \)\(14\!\cdots\!50\)\( T^{26} + \)\(53\!\cdots\!52\)\( T^{27} + \)\(13\!\cdots\!91\)\( T^{28} - \)\(90\!\cdots\!40\)\( T^{29} + \)\(15\!\cdots\!25\)\( T^{30} + \)\(65\!\cdots\!82\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 18 T + 25 T^{2} - 860 T^{3} + 7311 T^{4} + 177528 T^{5} + 280250 T^{6} - 9281880 T^{7} - 6546264 T^{8} + 769859398 T^{9} + 2676500529 T^{10} - 31642972128 T^{11} - 147191476614 T^{12} + 1958975281938 T^{13} + 18358900572134 T^{14} + 6395455699032 T^{15} - 550800860184419 T^{16} + 377331886242888 T^{17} + 63907332891598454 T^{18} + 402332384429144502 T^{19} - 1783572258254895654 T^{20} - 22622329666886938272 T^{21} + \)\(11\!\cdots\!89\)\( T^{22} + \)\(19\!\cdots\!62\)\( T^{23} - \)\(96\!\cdots\!44\)\( T^{24} - \)\(80\!\cdots\!20\)\( T^{25} + \)\(14\!\cdots\!50\)\( T^{26} + \)\(53\!\cdots\!52\)\( T^{27} + \)\(13\!\cdots\!91\)\( T^{28} - \)\(90\!\cdots\!40\)\( T^{29} + \)\(15\!\cdots\!25\)\( T^{30} + \)\(65\!\cdots\!82\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 17 T - 50 T^{2} + 1985 T^{3} + 451 T^{4} - 76307 T^{5} - 426220 T^{6} - 1429235 T^{7} + 60743716 T^{8} + 309308083 T^{9} - 1984484046 T^{10} - 33011892753 T^{11} - 101353409674 T^{12} + 2740413120218 T^{13} + 8464635562844 T^{14} - 86256705224328 T^{15} - 317724345351369 T^{16} - 5089145608235352 T^{17} + 29465396394259964 T^{18} + 562823306217252622 T^{19} - 1228135853600750314 T^{20} - 23601004285101705147 T^{21} - 83706596062330791486 T^{22} + \)\(76\!\cdots\!77\)\( T^{23} + \)\(89\!\cdots\!36\)\( T^{24} - \)\(12\!\cdots\!65\)\( T^{25} - \)\(21\!\cdots\!20\)\( T^{26} - \)\(23\!\cdots\!13\)\( T^{27} + \)\(80\!\cdots\!31\)\( T^{28} + \)\(20\!\cdots\!15\)\( T^{29} - \)\(30\!\cdots\!50\)\( T^{30} - \)\(62\!\cdots\!83\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 - 10 T - 21 T^{2} + 610 T^{3} - 3199 T^{4} + 37210 T^{5} - 78141 T^{6} - 2269810 T^{7} + 13845841 T^{8} \))(\( 1 - 21 T^{2} - 410 T^{3} + 2901 T^{4} - 25010 T^{5} - 78141 T^{6} + 13845841 T^{8} \))(\( 1 + 4 T - 15 T^{2} - 424 T^{3} - 271 T^{4} - 25864 T^{5} - 55815 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( 1 - 9 T - 15 T^{2} + 629 T^{3} - 4236 T^{4} + 38369 T^{5} - 55815 T^{6} - 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 61 T^{2} + 3721 T^{4} - 226981 T^{6} + 13845841 T^{8} \))(\( 1 - 10 T + 39 T^{2} + 220 T^{3} - 4579 T^{4} + 13420 T^{5} + 145119 T^{6} - 2269810 T^{7} + 13845841 T^{8} \))(\( 1 + 10 T + 39 T^{2} - 220 T^{3} - 4579 T^{4} - 13420 T^{5} + 145119 T^{6} + 2269810 T^{7} + 13845841 T^{8} \))(\( 1 + 2 T - 57 T^{2} - 236 T^{3} + 3005 T^{4} - 14396 T^{5} - 212097 T^{6} + 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 2 T - 57 T^{2} + 236 T^{3} + 3005 T^{4} + 14396 T^{5} - 212097 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 + 9 T - 15 T^{2} - 629 T^{3} - 4236 T^{4} - 38369 T^{5} - 55815 T^{6} + 2042829 T^{7} + 13845841 T^{8} \))(\( 1 - 61 T^{2} + 3721 T^{4} - 226981 T^{6} + 13845841 T^{8} \))(\( 1 - 4 T - 15 T^{2} + 424 T^{3} - 271 T^{4} + 25864 T^{5} - 55815 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 10 T - 21 T^{2} - 610 T^{3} - 3199 T^{4} - 37210 T^{5} - 78141 T^{6} + 2269810 T^{7} + 13845841 T^{8} \))(\( 1 - 21 T^{2} + 410 T^{3} + 2901 T^{4} + 25010 T^{5} - 78141 T^{6} + 13845841 T^{8} \))(\( 1 - 5 T - 100 T^{2} + 820 T^{3} + 6204 T^{4} - 14315 T^{5} - 581925 T^{6} - 244440 T^{7} + 55243816 T^{8} - 14910840 T^{9} - 2165342925 T^{10} - 3249233015 T^{11} + 85899597564 T^{12} + 692568966820 T^{13} - 5152037436100 T^{14} - 15713714180105 T^{15} + 191707312997281 T^{16} \))(\( 1 - 12 T + 147 T^{2} - 2312 T^{3} + 22368 T^{4} - 224532 T^{5} + 2244305 T^{6} - 18537880 T^{7} + 147792991 T^{8} - 1130810680 T^{9} + 8351058905 T^{10} - 50964497892 T^{11} + 309703771488 T^{12} - 1952706647912 T^{13} + 7573495031067 T^{14} - 37712914032252 T^{15} + 191707312997281 T^{16} \))(\( 1 + 7 T - 108 T^{2} - 1783 T^{3} + 318 T^{4} + 164342 T^{5} + 1092660 T^{6} - 5279480 T^{7} - 100824709 T^{8} - 322048280 T^{9} + 4065787860 T^{10} + 37302511502 T^{11} + 4402977438 T^{12} - 1505915204683 T^{13} - 5564200430988 T^{14} + 21999199852147 T^{15} + 191707312997281 T^{16} \))(\( 1 + 5 T - 100 T^{2} - 820 T^{3} + 6204 T^{4} + 14315 T^{5} - 581925 T^{6} + 244440 T^{7} + 55243816 T^{8} + 14910840 T^{9} - 2165342925 T^{10} + 3249233015 T^{11} + 85899597564 T^{12} - 692568966820 T^{13} - 5152037436100 T^{14} + 15713714180105 T^{15} + 191707312997281 T^{16} \))(\( 1 + 12 T + 147 T^{2} + 2312 T^{3} + 22368 T^{4} + 224532 T^{5} + 2244305 T^{6} + 18537880 T^{7} + 147792991 T^{8} + 1130810680 T^{9} + 8351058905 T^{10} + 50964497892 T^{11} + 309703771488 T^{12} + 1952706647912 T^{13} + 7573495031067 T^{14} + 37712914032252 T^{15} + 191707312997281 T^{16} \))(\( 1 - 16 T + 7 T^{2} + 1840 T^{3} - 13860 T^{4} - 4320 T^{5} + 400652 T^{6} - 1904048 T^{7} + 38865093 T^{8} - 488718000 T^{9} + 1383027860 T^{10} + 26636392784 T^{11} - 345384133145 T^{12} + 1624819959824 T^{13} + 5146246667060 T^{14} - 110929700358000 T^{15} + 538119898128213 T^{16} - 1608151897726448 T^{17} + 20641741028483372 T^{18} - 13576649051610720 T^{19} - 2657063358142314660 T^{20} + 21517228810814819440 T^{21} + 4993400381640178207 T^{22} - \)\(69\!\cdots\!76\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 16 T + 7 T^{2} - 1840 T^{3} - 13860 T^{4} + 4320 T^{5} + 400652 T^{6} + 1904048 T^{7} + 38865093 T^{8} + 488718000 T^{9} + 1383027860 T^{10} - 26636392784 T^{11} - 345384133145 T^{12} - 1624819959824 T^{13} + 5146246667060 T^{14} + 110929700358000 T^{15} + 538119898128213 T^{16} + 1608151897726448 T^{17} + 20641741028483372 T^{18} + 13576649051610720 T^{19} - 2657063358142314660 T^{20} - 21517228810814819440 T^{21} + 4993400381640178207 T^{22} + \)\(69\!\cdots\!76\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 12 T - 195 T^{2} + 3592 T^{3} + 9457 T^{4} - 507244 T^{5} + 1595716 T^{6} + 40490936 T^{7} - 318233418 T^{8} - 1680265148 T^{9} + 27894939097 T^{10} - 2641977826 T^{11} - 1448376512614 T^{12} + 4191432114084 T^{13} + 46058803271574 T^{14} - 147290895640268 T^{15} - 1443941235745343 T^{16} - 8984744634056348 T^{17} + 171384806973526854 T^{18} + 951375452686900404 T^{19} - 20053990901787938374 T^{20} - 2231404699163621626 T^{21} + \)\(14\!\cdots\!17\)\( T^{22} - \)\(52\!\cdots\!08\)\( T^{23} - \)\(61\!\cdots\!58\)\( T^{24} + \)\(47\!\cdots\!76\)\( T^{25} + \)\(11\!\cdots\!16\)\( T^{26} - \)\(22\!\cdots\!84\)\( T^{27} + \)\(25\!\cdots\!97\)\( T^{28} + \)\(58\!\cdots\!52\)\( T^{29} - \)\(19\!\cdots\!95\)\( T^{30} - \)\(72\!\cdots\!12\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 12 T - 195 T^{2} - 3592 T^{3} + 9457 T^{4} + 507244 T^{5} + 1595716 T^{6} - 40490936 T^{7} - 318233418 T^{8} + 1680265148 T^{9} + 27894939097 T^{10} + 2641977826 T^{11} - 1448376512614 T^{12} - 4191432114084 T^{13} + 46058803271574 T^{14} + 147290895640268 T^{15} - 1443941235745343 T^{16} + 8984744634056348 T^{17} + 171384806973526854 T^{18} - 951375452686900404 T^{19} - 20053990901787938374 T^{20} + 2231404699163621626 T^{21} + \)\(14\!\cdots\!17\)\( T^{22} + \)\(52\!\cdots\!08\)\( T^{23} - \)\(61\!\cdots\!58\)\( T^{24} - \)\(47\!\cdots\!76\)\( T^{25} + \)\(11\!\cdots\!16\)\( T^{26} + \)\(22\!\cdots\!84\)\( T^{27} + \)\(25\!\cdots\!97\)\( T^{28} - \)\(58\!\cdots\!52\)\( T^{29} - \)\(19\!\cdots\!95\)\( T^{30} + \)\(72\!\cdots\!12\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 7 T - 20 T^{2} - 403 T^{3} + 10067 T^{4} - 48739 T^{5} - 116314 T^{6} - 1172749 T^{7} + 26082242 T^{8} - 24039263 T^{9} - 379016678 T^{10} + 5077729829 T^{11} - 113601259714 T^{12} + 664603591174 T^{13} + 819501759744 T^{14} + 46004665392052 T^{15} - 871290620425703 T^{16} + 2806284588915172 T^{17} + 3049366048007424 T^{18} + 150852387728265694 T^{19} - 1572904979399749474 T^{20} + 4288631831050762529 T^{21} - 19527081139622592758 T^{22} - 75549221576474692523 T^{23} + \)\(50\!\cdots\!02\)\( T^{24} - \)\(13\!\cdots\!09\)\( T^{25} - \)\(82\!\cdots\!14\)\( T^{26} - \)\(21\!\cdots\!79\)\( T^{27} + \)\(26\!\cdots\!07\)\( T^{28} - \)\(65\!\cdots\!43\)\( T^{29} - \)\(19\!\cdots\!20\)\( T^{30} - \)\(42\!\cdots\!07\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( ( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 8 T + 67 T^{2} )^{4} \))(\( ( 1 - 5 T + 67 T^{2} )^{4} \))(\( ( 1 - 5 T + 67 T^{2} )^{4} \))(\( ( 1 + 3 T + 67 T^{2} )^{4} \))(\( ( 1 + 3 T + 67 T^{2} )^{4} \))(\( ( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 8 T + 67 T^{2} )^{4} \))(\( ( 1 + T + 73 T^{2} + 67 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + T + 53 T^{2} + 67 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + T + 53 T^{2} + 67 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 3 T + 113 T^{2} - 22 T^{3} + 7571 T^{4} + 13467 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 3 T + 113 T^{2} - 22 T^{3} + 7571 T^{4} + 13467 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 16 T + 25 T^{2} + 916 T^{3} - 9471 T^{4} + 65036 T^{5} + 126025 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))(\( 1 + 4 T + 25 T^{2} + 596 T^{3} + 7569 T^{4} + 42316 T^{5} + 126025 T^{6} + 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 2 T + 133 T^{2} - 326 T^{3} + 8655 T^{4} - 23146 T^{5} + 670453 T^{6} + 715822 T^{7} + 25411681 T^{8} \))(\( 1 - 23 T + 133 T^{2} + 1649 T^{3} - 28620 T^{4} + 117079 T^{5} + 670453 T^{6} - 8231953 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T + 73 T^{2} - 24 T^{3} - 4895 T^{4} - 1704 T^{5} + 367993 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 9 T + 10 T^{2} - 549 T^{3} - 5651 T^{4} - 38979 T^{5} + 50410 T^{6} + 3221199 T^{7} + 25411681 T^{8} \))(\( 1 + 9 T + 10 T^{2} - 549 T^{3} - 5651 T^{4} - 38979 T^{5} + 50410 T^{6} + 3221199 T^{7} + 25411681 T^{8} \))(\( 1 + T - 70 T^{2} - 141 T^{3} + 4829 T^{4} - 10011 T^{5} - 352870 T^{6} + 357911 T^{7} + 25411681 T^{8} \))(\( 1 + T - 70 T^{2} - 141 T^{3} + 4829 T^{4} - 10011 T^{5} - 352870 T^{6} + 357911 T^{7} + 25411681 T^{8} \))(\( 1 - 23 T + 133 T^{2} + 1649 T^{3} - 28620 T^{4} + 117079 T^{5} + 670453 T^{6} - 8231953 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T + 73 T^{2} - 24 T^{3} - 4895 T^{4} - 1704 T^{5} + 367993 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 2 T + 133 T^{2} - 326 T^{3} + 8655 T^{4} - 23146 T^{5} + 670453 T^{6} + 715822 T^{7} + 25411681 T^{8} \))(\( 1 - 16 T + 25 T^{2} + 916 T^{3} - 9471 T^{4} + 65036 T^{5} + 126025 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))(\( 1 + 4 T + 25 T^{2} + 596 T^{3} + 7569 T^{4} + 42316 T^{5} + 126025 T^{6} + 1431644 T^{7} + 25411681 T^{8} \))(\( 1 - 5 T - 120 T^{2} + 970 T^{3} + 9284 T^{4} - 20165 T^{5} - 984785 T^{6} - 337740 T^{7} + 104840456 T^{8} - 23979540 T^{9} - 4964301185 T^{10} - 7217275315 T^{11} + 235922046404 T^{12} + 1750102470470 T^{13} - 15372034070520 T^{14} - 45475600791955 T^{15} + 645753531245761 T^{16} \))(\( 1 - 21 T + 151 T^{2} - 497 T^{3} + 5457 T^{4} - 14896 T^{5} - 888488 T^{6} + 11215568 T^{7} - 84203719 T^{8} + 796305328 T^{9} - 4478868008 T^{10} - 5331442256 T^{11} + 138671543217 T^{12} - 896701987447 T^{13} + 19343142872071 T^{14} - 190997523326211 T^{15} + 645753531245761 T^{16} \))(\( 1 + 14 T - 9 T^{2} - 147 T^{3} + 6927 T^{4} + 52059 T^{5} + 728307 T^{6} + 4047848 T^{7} - 14238189 T^{8} + 287397208 T^{9} + 3671395587 T^{10} + 18632488749 T^{11} + 176026714287 T^{12} - 265221714597 T^{13} - 1152902555289 T^{14} + 127331682217474 T^{15} + 645753531245761 T^{16} \))(\( 1 - 5 T - 120 T^{2} + 970 T^{3} + 9284 T^{4} - 20165 T^{5} - 984785 T^{6} - 337740 T^{7} + 104840456 T^{8} - 23979540 T^{9} - 4964301185 T^{10} - 7217275315 T^{11} + 235922046404 T^{12} + 1750102470470 T^{13} - 15372034070520 T^{14} - 45475600791955 T^{15} + 645753531245761 T^{16} \))(\( 1 - 21 T + 151 T^{2} - 497 T^{3} + 5457 T^{4} - 14896 T^{5} - 888488 T^{6} + 11215568 T^{7} - 84203719 T^{8} + 796305328 T^{9} - 4478868008 T^{10} - 5331442256 T^{11} + 138671543217 T^{12} - 896701987447 T^{13} + 19343142872071 T^{14} - 190997523326211 T^{15} + 645753531245761 T^{16} \))(\( 1 + 5 T + 20 T^{2} - 695 T^{3} - 7780 T^{4} - 68170 T^{5} - 5786 T^{6} + 5263790 T^{7} + 56924985 T^{8} + 339614790 T^{9} - 118215790 T^{10} - 23737080060 T^{11} - 265061379329 T^{12} - 1685332684260 T^{13} - 595925797390 T^{14} + 121551869103690 T^{15} + 1446559559749785 T^{16} + 9497084415500290 T^{17} - 741188242766906 T^{18} - 620014341197514470 T^{19} - 5023962473092020580 T^{20} - 31864707999322076545 T^{21} + 65104871020197624020 T^{22} + \)\(11\!\cdots\!55\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 5 T + 20 T^{2} - 695 T^{3} - 7780 T^{4} - 68170 T^{5} - 5786 T^{6} + 5263790 T^{7} + 56924985 T^{8} + 339614790 T^{9} - 118215790 T^{10} - 23737080060 T^{11} - 265061379329 T^{12} - 1685332684260 T^{13} - 595925797390 T^{14} + 121551869103690 T^{15} + 1446559559749785 T^{16} + 9497084415500290 T^{17} - 741188242766906 T^{18} - 620014341197514470 T^{19} - 5023962473092020580 T^{20} - 31864707999322076545 T^{21} + 65104871020197624020 T^{22} + \)\(11\!\cdots\!55\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - T - 355 T^{2} - 347 T^{3} + 62162 T^{4} + 107731 T^{5} - 7363645 T^{6} - 8830711 T^{7} + 730398853 T^{8} + 111771627 T^{9} - 68716020299 T^{10} + 17483084955 T^{11} + 5903862179484 T^{12} - 219949697282 T^{13} - 448386307599448 T^{14} - 29021605851186 T^{15} + 32028099319201737 T^{16} - 2060534015434206 T^{17} - 2260315376608817368 T^{18} - 78722416103897902 T^{19} + \)\(15\!\cdots\!04\)\( T^{20} + 31543495021837514205 T^{21} - \)\(88\!\cdots\!79\)\( T^{22} + \)\(10\!\cdots\!57\)\( T^{23} + \)\(47\!\cdots\!33\)\( T^{24} - \)\(40\!\cdots\!41\)\( T^{25} - \)\(23\!\cdots\!45\)\( T^{26} + \)\(24\!\cdots\!01\)\( T^{27} + \)\(10\!\cdots\!42\)\( T^{28} - \)\(40\!\cdots\!17\)\( T^{29} - \)\(29\!\cdots\!55\)\( T^{30} - \)\(58\!\cdots\!51\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - T - 355 T^{2} - 347 T^{3} + 62162 T^{4} + 107731 T^{5} - 7363645 T^{6} - 8830711 T^{7} + 730398853 T^{8} + 111771627 T^{9} - 68716020299 T^{10} + 17483084955 T^{11} + 5903862179484 T^{12} - 219949697282 T^{13} - 448386307599448 T^{14} - 29021605851186 T^{15} + 32028099319201737 T^{16} - 2060534015434206 T^{17} - 2260315376608817368 T^{18} - 78722416103897902 T^{19} + \)\(15\!\cdots\!04\)\( T^{20} + 31543495021837514205 T^{21} - \)\(88\!\cdots\!79\)\( T^{22} + \)\(10\!\cdots\!57\)\( T^{23} + \)\(47\!\cdots\!33\)\( T^{24} - \)\(40\!\cdots\!41\)\( T^{25} - \)\(23\!\cdots\!45\)\( T^{26} + \)\(24\!\cdots\!01\)\( T^{27} + \)\(10\!\cdots\!42\)\( T^{28} - \)\(40\!\cdots\!17\)\( T^{29} - \)\(29\!\cdots\!55\)\( T^{30} - \)\(58\!\cdots\!51\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 + 14 T + 140 T^{2} + 763 T^{3} + 10437 T^{4} + 25566 T^{5} + 32310 T^{6} - 3862236 T^{7} + 10586088 T^{8} - 330657408 T^{9} - 2081383949 T^{10} - 39603959100 T^{11} + 15217861524 T^{12} - 1721196695007 T^{13} + 1593568125167 T^{14} - 22773634065006 T^{15} + 1780879231377332 T^{16} - 1616928018615426 T^{17} + 8033176918966847 T^{18} - 616035230306650377 T^{19} + 386711442550061844 T^{20} - 71454625424023544100 T^{21} - \)\(26\!\cdots\!29\)\( T^{22} - \)\(30\!\cdots\!28\)\( T^{23} + \)\(68\!\cdots\!68\)\( T^{24} - \)\(17\!\cdots\!16\)\( T^{25} + \)\(10\!\cdots\!10\)\( T^{26} + \)\(59\!\cdots\!86\)\( T^{27} + \)\(17\!\cdots\!17\)\( T^{28} + \)\(88\!\cdots\!93\)\( T^{29} + \)\(11\!\cdots\!40\)\( T^{30} + \)\(82\!\cdots\!14\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 - 8 T - 49 T^{2} + 446 T^{3} + 1549 T^{4} + 32558 T^{5} - 261121 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 2 T - 49 T^{2} - 406 T^{3} + 5929 T^{4} - 29638 T^{5} - 261121 T^{6} - 778034 T^{7} + 28398241 T^{8} \))(\( 1 + 17 T + 86 T^{2} - 779 T^{3} - 15281 T^{4} - 56867 T^{5} + 458294 T^{6} + 6613289 T^{7} + 28398241 T^{8} \))(\( 1 - 7 T + 86 T^{2} - 611 T^{3} + 2239 T^{4} - 44603 T^{5} + 458294 T^{6} - 2723119 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T - 9 T^{2} + 656 T^{3} - 4591 T^{4} + 47888 T^{5} - 47961 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 2 T - 69 T^{2} - 284 T^{3} + 4469 T^{4} - 20732 T^{5} - 367701 T^{6} + 778034 T^{7} + 28398241 T^{8} \))(\( 1 - 2 T - 69 T^{2} + 284 T^{3} + 4469 T^{4} + 20732 T^{5} - 367701 T^{6} - 778034 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T + 27 T^{2} + 460 T^{3} - 6571 T^{4} + 33580 T^{5} + 143883 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + 10 T + 27 T^{2} - 460 T^{3} - 6571 T^{4} - 33580 T^{5} + 143883 T^{6} + 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + 7 T + 86 T^{2} + 611 T^{3} + 2239 T^{4} + 44603 T^{5} + 458294 T^{6} + 2723119 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T - 9 T^{2} - 656 T^{3} - 4591 T^{4} - 47888 T^{5} - 47961 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 17 T + 86 T^{2} + 779 T^{3} - 15281 T^{4} + 56867 T^{5} + 458294 T^{6} - 6613289 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T - 49 T^{2} - 446 T^{3} + 1549 T^{4} - 32558 T^{5} - 261121 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 2 T - 49 T^{2} + 406 T^{3} + 5929 T^{4} + 29638 T^{5} - 261121 T^{6} + 778034 T^{7} + 28398241 T^{8} \))(\( ( 1 - 5 T - 48 T^{2} + 605 T^{3} + 479 T^{4} + 44165 T^{5} - 255792 T^{6} - 1945085 T^{7} + 28398241 T^{8} )^{2} \))(\( 1 - 8 T - 77 T^{2} + 990 T^{3} - 2170 T^{4} - 132362 T^{5} + 1139369 T^{6} + 4655830 T^{7} - 91523921 T^{8} + 339875590 T^{9} + 6071697401 T^{10} - 51491068154 T^{11} - 61624182970 T^{12} + 2052340877070 T^{13} - 11652735424253 T^{14} - 88379188152776 T^{15} + 806460091894081 T^{16} \))(\( 1 + 3 T - 2 T^{2} + 345 T^{3} + 220 T^{4} + 100292 T^{5} + 620974 T^{6} - 13580 T^{7} + 31898639 T^{8} - 991340 T^{9} + 3309170446 T^{10} + 39015292964 T^{11} + 6247613020 T^{12} + 715209699585 T^{13} - 302668452578 T^{14} + 33142195557291 T^{15} + 806460091894081 T^{16} \))(\( ( 1 + 5 T - 48 T^{2} - 605 T^{3} + 479 T^{4} - 44165 T^{5} - 255792 T^{6} + 1945085 T^{7} + 28398241 T^{8} )^{2} \))(\( 1 + 8 T - 77 T^{2} - 990 T^{3} - 2170 T^{4} + 132362 T^{5} + 1139369 T^{6} - 4655830 T^{7} - 91523921 T^{8} - 339875590 T^{9} + 6071697401 T^{10} + 51491068154 T^{11} - 61624182970 T^{12} - 2052340877070 T^{13} - 11652735424253 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16} \))(\( 1 + 16 T - 29 T^{2} - 2608 T^{3} - 15612 T^{4} + 54432 T^{5} + 597956 T^{6} + 1898096 T^{7} + 105180429 T^{8} + 1137548208 T^{9} + 139658396 T^{10} - 77531528720 T^{11} - 791045249105 T^{12} - 5659801596560 T^{13} + 744239592284 T^{14} + 442525591231536 T^{15} + 2986939171225389 T^{16} + 3934888898386928 T^{17} + 90491208614865284 T^{18} + 601331996191487904 T^{19} - 12590454954650392572 T^{20} - \)\(15\!\cdots\!04\)\( T^{21} - \)\(12\!\cdots\!21\)\( T^{22} + \)\(50\!\cdots\!32\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 16 T - 29 T^{2} + 2608 T^{3} - 15612 T^{4} - 54432 T^{5} + 597956 T^{6} - 1898096 T^{7} + 105180429 T^{8} - 1137548208 T^{9} + 139658396 T^{10} + 77531528720 T^{11} - 791045249105 T^{12} + 5659801596560 T^{13} + 744239592284 T^{14} - 442525591231536 T^{15} + 2986939171225389 T^{16} - 3934888898386928 T^{17} + 90491208614865284 T^{18} - 601331996191487904 T^{19} - 12590454954650392572 T^{20} + \)\(15\!\cdots\!04\)\( T^{21} - \)\(12\!\cdots\!21\)\( T^{22} - \)\(50\!\cdots\!32\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 60 T + 1487 T^{2} + 18394 T^{3} + 89657 T^{4} - 411322 T^{5} - 5441626 T^{6} + 37899490 T^{7} + 846703154 T^{8} + 1296063306 T^{9} - 89886244257 T^{10} - 1038415881434 T^{11} - 2204058435198 T^{12} + 53506579646092 T^{13} + 424723915258082 T^{14} - 2140532344138680 T^{15} - 48779036759889075 T^{16} - 156258861122123640 T^{17} + 2263353744410318978 T^{18} + 20814969094183771564 T^{19} - 62591382620835686718 T^{20} - \)\(21\!\cdots\!62\)\( T^{21} - \)\(13\!\cdots\!73\)\( T^{22} + \)\(14\!\cdots\!82\)\( T^{23} + \)\(68\!\cdots\!74\)\( T^{24} + \)\(22\!\cdots\!70\)\( T^{25} - \)\(23\!\cdots\!74\)\( T^{26} - \)\(12\!\cdots\!94\)\( T^{27} + \)\(20\!\cdots\!97\)\( T^{28} + \)\(30\!\cdots\!02\)\( T^{29} + \)\(18\!\cdots\!83\)\( T^{30} + \)\(53\!\cdots\!20\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 60 T + 1487 T^{2} - 18394 T^{3} + 89657 T^{4} + 411322 T^{5} - 5441626 T^{6} - 37899490 T^{7} + 846703154 T^{8} - 1296063306 T^{9} - 89886244257 T^{10} + 1038415881434 T^{11} - 2204058435198 T^{12} - 53506579646092 T^{13} + 424723915258082 T^{14} + 2140532344138680 T^{15} - 48779036759889075 T^{16} + 156258861122123640 T^{17} + 2263353744410318978 T^{18} - 20814969094183771564 T^{19} - 62591382620835686718 T^{20} + \)\(21\!\cdots\!62\)\( T^{21} - \)\(13\!\cdots\!73\)\( T^{22} - \)\(14\!\cdots\!82\)\( T^{23} + \)\(68\!\cdots\!74\)\( T^{24} - \)\(22\!\cdots\!70\)\( T^{25} - \)\(23\!\cdots\!74\)\( T^{26} + \)\(12\!\cdots\!94\)\( T^{27} + \)\(20\!\cdots\!97\)\( T^{28} - \)\(30\!\cdots\!02\)\( T^{29} + \)\(18\!\cdots\!83\)\( T^{30} - \)\(53\!\cdots\!20\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 35 T + 622 T^{2} - 8881 T^{3} + 123217 T^{4} - 1506367 T^{5} + 15880754 T^{6} - 159131205 T^{7} + 1535260024 T^{8} - 13342640169 T^{9} + 108277262748 T^{10} - 880406179959 T^{11} + 6960680213462 T^{12} - 52467783616198 T^{13} + 405906809006112 T^{14} - 3284917386947140 T^{15} + 27500270697009885 T^{16} - 239798969247141220 T^{17} + 2163077385193570848 T^{18} - 20410859779022497366 T^{19} + \)\(19\!\cdots\!42\)\( T^{20} - \)\(18\!\cdots\!87\)\( T^{21} + \)\(16\!\cdots\!72\)\( T^{22} - \)\(14\!\cdots\!93\)\( T^{23} + \)\(12\!\cdots\!44\)\( T^{24} - \)\(93\!\cdots\!65\)\( T^{25} + \)\(68\!\cdots\!46\)\( T^{26} - \)\(47\!\cdots\!59\)\( T^{27} + \)\(28\!\cdots\!57\)\( T^{28} - \)\(14\!\cdots\!73\)\( T^{29} + \)\(75\!\cdots\!98\)\( T^{30} - \)\(31\!\cdots\!95\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 - 20 T + 161 T^{2} - 1600 T^{3} + 18961 T^{4} - 126400 T^{5} + 1004801 T^{6} - 9860780 T^{7} + 38950081 T^{8} \))(\( 1 - 20 T + 161 T^{2} - 1600 T^{3} + 18961 T^{4} - 126400 T^{5} + 1004801 T^{6} - 9860780 T^{7} + 38950081 T^{8} \))(\( 1 - 10 T - 19 T^{2} + 910 T^{3} - 6929 T^{4} + 71890 T^{5} - 118579 T^{6} - 4930390 T^{7} + 38950081 T^{8} \))(\( 1 + 5 T - 19 T^{2} - 635 T^{3} - 1004 T^{4} - 50165 T^{5} - 118579 T^{6} + 2465195 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T - 15 T^{2} - 752 T^{3} - 4831 T^{4} - 59408 T^{5} - 93615 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 10 T + 21 T^{2} + 580 T^{3} - 7459 T^{4} + 45820 T^{5} + 131061 T^{6} - 4930390 T^{7} + 38950081 T^{8} \))(\( 1 + 10 T + 21 T^{2} - 580 T^{3} - 7459 T^{4} - 45820 T^{5} + 131061 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( 1 - 6 T - 43 T^{2} + 732 T^{3} - 995 T^{4} + 57828 T^{5} - 268363 T^{6} - 2958234 T^{7} + 38950081 T^{8} \))(\( 1 + 6 T - 43 T^{2} - 732 T^{3} - 995 T^{4} - 57828 T^{5} - 268363 T^{6} + 2958234 T^{7} + 38950081 T^{8} \))(\( 1 - 5 T - 19 T^{2} + 635 T^{3} - 1004 T^{4} + 50165 T^{5} - 118579 T^{6} - 2465195 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T - 15 T^{2} + 752 T^{3} - 4831 T^{4} + 59408 T^{5} - 93615 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 10 T - 19 T^{2} - 910 T^{3} - 6929 T^{4} - 71890 T^{5} - 118579 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( 1 + 20 T + 161 T^{2} + 1600 T^{3} + 18961 T^{4} + 126400 T^{5} + 1004801 T^{6} + 9860780 T^{7} + 38950081 T^{8} \))(\( 1 + 20 T + 161 T^{2} + 1600 T^{3} + 18961 T^{4} + 126400 T^{5} + 1004801 T^{6} + 9860780 T^{7} + 38950081 T^{8} \))(\( 1 - 13 T - 28 T^{2} + 1898 T^{3} - 12048 T^{4} + 72995 T^{5} - 349977 T^{6} - 9302436 T^{7} + 190102840 T^{8} - 734892444 T^{9} - 2184206457 T^{10} + 35989381805 T^{11} - 469270575888 T^{12} + 5840253045302 T^{13} - 6806448754588 T^{14} - 249650816820067 T^{15} + 1517108809906561 T^{16} \))(\( 1 - T - 160 T^{2} - 548 T^{3} + 13806 T^{4} + 31769 T^{5} - 282588 T^{6} - 2159462 T^{7} + 16750183 T^{8} - 170597498 T^{9} - 1763631708 T^{10} + 15663355991 T^{11} + 537744818286 T^{12} - 1686226906652 T^{13} - 38893992883360 T^{14} - 19203908986159 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 9 T - 75 T^{2} + 768 T^{3} + 10031 T^{4} - 24564 T^{5} - 1553178 T^{6} + 1473567 T^{7} + 120297853 T^{8} + 116411793 T^{9} - 9693383898 T^{10} - 12111009996 T^{11} + 390708262511 T^{12} + 2363179314432 T^{13} - 18231559164075 T^{14} - 172835180875431 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 13 T - 28 T^{2} - 1898 T^{3} - 12048 T^{4} - 72995 T^{5} - 349977 T^{6} + 9302436 T^{7} + 190102840 T^{8} + 734892444 T^{9} - 2184206457 T^{10} - 35989381805 T^{11} - 469270575888 T^{12} - 5840253045302 T^{13} - 6806448754588 T^{14} + 249650816820067 T^{15} + 1517108809906561 T^{16} \))(\( 1 + T - 160 T^{2} + 548 T^{3} + 13806 T^{4} - 31769 T^{5} - 282588 T^{6} + 2159462 T^{7} + 16750183 T^{8} + 170597498 T^{9} - 1763631708 T^{10} - 15663355991 T^{11} + 537744818286 T^{12} + 1686226906652 T^{13} - 38893992883360 T^{14} + 19203908986159 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 28 T + 319 T^{2} + 848 T^{3} - 23118 T^{4} - 368100 T^{5} - 2689762 T^{6} - 7469044 T^{7} + 64811091 T^{8} + 1075382940 T^{9} + 8371511678 T^{10} + 40089262324 T^{11} + 177958244563 T^{12} + 3167051723596 T^{13} + 52246604382398 T^{14} + 530205729354660 T^{15} + 2524397244148371 T^{16} - 22982669634612556 T^{17} - 653847400537076002 T^{18} - 7068958897805127900 T^{19} - 35072521467419877198 T^{20} + \)\(10\!\cdots\!12\)\( T^{21} + \)\(30\!\cdots\!19\)\( T^{22} + \)\(20\!\cdots\!12\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 28 T + 319 T^{2} - 848 T^{3} - 23118 T^{4} + 368100 T^{5} - 2689762 T^{6} + 7469044 T^{7} + 64811091 T^{8} - 1075382940 T^{9} + 8371511678 T^{10} - 40089262324 T^{11} + 177958244563 T^{12} - 3167051723596 T^{13} + 52246604382398 T^{14} - 530205729354660 T^{15} + 2524397244148371 T^{16} + 22982669634612556 T^{17} - 653847400537076002 T^{18} + 7068958897805127900 T^{19} - 35072521467419877198 T^{20} - \)\(10\!\cdots\!12\)\( T^{21} + \)\(30\!\cdots\!19\)\( T^{22} - \)\(20\!\cdots\!12\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T - 206 T^{2} + 3010 T^{3} + 29105 T^{4} - 124250 T^{5} - 5253080 T^{6} - 18691300 T^{7} + 581808430 T^{8} + 4760179440 T^{9} - 24079531838 T^{10} - 673703703905 T^{11} - 1814209779892 T^{12} + 52895538994030 T^{13} + 475566405446690 T^{14} - 1654552484719050 T^{15} - 51014747327008815 T^{16} - 130709646292804950 T^{17} + 2968009936392792290 T^{18} + 26079563650077557170 T^{19} - 70663617877785571252 T^{20} - \)\(20\!\cdots\!95\)\( T^{21} - \)\(58\!\cdots\!98\)\( T^{22} + \)\(91\!\cdots\!60\)\( T^{23} + \)\(88\!\cdots\!30\)\( T^{24} - \)\(22\!\cdots\!00\)\( T^{25} - \)\(49\!\cdots\!80\)\( T^{26} - \)\(92\!\cdots\!50\)\( T^{27} + \)\(17\!\cdots\!05\)\( T^{28} + \)\(14\!\cdots\!90\)\( T^{29} - \)\(75\!\cdots\!86\)\( T^{30} - \)\(43\!\cdots\!85\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 15 T - 206 T^{2} - 3010 T^{3} + 29105 T^{4} + 124250 T^{5} - 5253080 T^{6} + 18691300 T^{7} + 581808430 T^{8} - 4760179440 T^{9} - 24079531838 T^{10} + 673703703905 T^{11} - 1814209779892 T^{12} - 52895538994030 T^{13} + 475566405446690 T^{14} + 1654552484719050 T^{15} - 51014747327008815 T^{16} + 130709646292804950 T^{17} + 2968009936392792290 T^{18} - 26079563650077557170 T^{19} - 70663617877785571252 T^{20} + \)\(20\!\cdots\!95\)\( T^{21} - \)\(58\!\cdots\!98\)\( T^{22} - \)\(91\!\cdots\!60\)\( T^{23} + \)\(88\!\cdots\!30\)\( T^{24} + \)\(22\!\cdots\!00\)\( T^{25} - \)\(49\!\cdots\!80\)\( T^{26} + \)\(92\!\cdots\!50\)\( T^{27} + \)\(17\!\cdots\!05\)\( T^{28} - \)\(14\!\cdots\!90\)\( T^{29} - \)\(75\!\cdots\!86\)\( T^{30} + \)\(43\!\cdots\!85\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 15 T + 94 T^{2} + 2495 T^{3} + 38855 T^{4} + 414785 T^{5} + 5676295 T^{6} + 62322940 T^{7} + 690670255 T^{8} + 8423294280 T^{9} + 83337602737 T^{10} + 856819337855 T^{11} + 8989269459608 T^{12} + 82967566755485 T^{13} + 808287092858990 T^{14} + 7591629044633355 T^{15} + 65763672844350810 T^{16} + 599738694526035045 T^{17} + 5044519746532956590 T^{18} + 40906246145557568915 T^{19} + \)\(35\!\cdots\!48\)\( T^{20} + \)\(26\!\cdots\!45\)\( T^{21} + \)\(20\!\cdots\!77\)\( T^{22} + \)\(16\!\cdots\!20\)\( T^{23} + \)\(10\!\cdots\!55\)\( T^{24} + \)\(74\!\cdots\!60\)\( T^{25} + \)\(53\!\cdots\!95\)\( T^{26} + \)\(31\!\cdots\!15\)\( T^{27} + \)\(22\!\cdots\!55\)\( T^{28} + \)\(11\!\cdots\!05\)\( T^{29} + \)\(34\!\cdots\!14\)\( T^{30} + \)\(43\!\cdots\!85\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 28 T + 461 T^{2} - 5964 T^{3} + 61769 T^{4} - 495012 T^{5} + 3175829 T^{6} - 16010036 T^{7} + 47458321 T^{8} \))(\( 1 - 32 T + 461 T^{2} - 4596 T^{3} + 41849 T^{4} - 381468 T^{5} + 3175829 T^{6} - 18297184 T^{7} + 47458321 T^{8} \))(\( 1 + 19 T + 68 T^{2} - 345 T^{3} - 2479 T^{4} - 28635 T^{5} + 468452 T^{6} + 10863953 T^{7} + 47458321 T^{8} \))(\( 1 + 11 T + 68 T^{2} + 1215 T^{3} + 17441 T^{4} + 100845 T^{5} + 468452 T^{6} + 6289657 T^{7} + 47458321 T^{8} \))(\( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} \))(\( 1 + 12 T + 61 T^{2} - 264 T^{3} - 8231 T^{4} - 21912 T^{5} + 420229 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( 1 - 12 T + 61 T^{2} + 264 T^{3} - 8231 T^{4} + 21912 T^{5} + 420229 T^{6} - 6861444 T^{7} + 47458321 T^{8} \))(\( 1 - 12 T + 61 T^{2} + 264 T^{3} - 8231 T^{4} + 21912 T^{5} + 420229 T^{6} - 6861444 T^{7} + 47458321 T^{8} \))(\( 1 + 12 T + 61 T^{2} - 264 T^{3} - 8231 T^{4} - 21912 T^{5} + 420229 T^{6} + 6861444 T^{7} + 47458321 T^{8} \))(\( 1 - 11 T + 68 T^{2} - 1215 T^{3} + 17441 T^{4} - 100845 T^{5} + 468452 T^{6} - 6289657 T^{7} + 47458321 T^{8} \))(\( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} \))(\( 1 - 19 T + 68 T^{2} + 345 T^{3} - 2479 T^{4} + 28635 T^{5} + 468452 T^{6} - 10863953 T^{7} + 47458321 T^{8} \))(\( 1 + 28 T + 461 T^{2} + 5964 T^{3} + 61769 T^{4} + 495012 T^{5} + 3175829 T^{6} + 16010036 T^{7} + 47458321 T^{8} \))(\( 1 + 32 T + 461 T^{2} + 4596 T^{3} + 41849 T^{4} + 381468 T^{5} + 3175829 T^{6} + 18297184 T^{7} + 47458321 T^{8} \))(\( ( 1 + 3 T - 74 T^{2} - 471 T^{3} + 4729 T^{4} - 39093 T^{5} - 509786 T^{6} + 1715361 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 + 22 T + 313 T^{2} + 2340 T^{3} + 7050 T^{4} - 116402 T^{5} - 1950441 T^{6} - 18988930 T^{7} - 158760641 T^{8} - 1576081190 T^{9} - 13436588049 T^{10} - 66557150374 T^{11} + 334581163050 T^{12} + 9217355104620 T^{13} + 102332336864497 T^{14} + 596993121771794 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 23 T + 98 T^{2} - 1745 T^{3} - 15470 T^{4} + 98632 T^{5} + 1750974 T^{6} - 1504700 T^{7} - 137136651 T^{8} - 124890100 T^{9} + 12062459886 T^{10} + 56396495384 T^{11} - 734180225870 T^{12} - 6873625922035 T^{13} + 32040156590162 T^{14} + 624129172761421 T^{15} + 2252292232139041 T^{16} \))(\( ( 1 - 3 T - 74 T^{2} + 471 T^{3} + 4729 T^{4} + 39093 T^{5} - 509786 T^{6} - 1715361 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 - 22 T + 313 T^{2} - 2340 T^{3} + 7050 T^{4} + 116402 T^{5} - 1950441 T^{6} + 18988930 T^{7} - 158760641 T^{8} + 1576081190 T^{9} - 13436588049 T^{10} + 66557150374 T^{11} + 334581163050 T^{12} - 9217355104620 T^{13} + 102332336864497 T^{14} - 596993121771794 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 8 T - 129 T^{2} - 1184 T^{3} + 10542 T^{4} + 294632 T^{5} + 609882 T^{6} - 30027704 T^{7} - 108165497 T^{8} + 2317255144 T^{9} + 27636921250 T^{10} - 30542384840 T^{11} - 2623552045061 T^{12} - 2535017941720 T^{13} + 190390750491250 T^{14} + 1324976367022328 T^{15} - 5133352877750537 T^{16} - 118280346471973672 T^{17} + 199395048791032458 T^{18} + 7995148975175782264 T^{19} + 23743664711209770222 T^{20} - \)\(22\!\cdots\!52\)\( T^{21} - \)\(20\!\cdots\!21\)\( T^{22} + \)\(10\!\cdots\!36\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 8 T - 129 T^{2} + 1184 T^{3} + 10542 T^{4} - 294632 T^{5} + 609882 T^{6} + 30027704 T^{7} - 108165497 T^{8} - 2317255144 T^{9} + 27636921250 T^{10} + 30542384840 T^{11} - 2623552045061 T^{12} + 2535017941720 T^{13} + 190390750491250 T^{14} - 1324976367022328 T^{15} - 5133352877750537 T^{16} + 118280346471973672 T^{17} + 199395048791032458 T^{18} - 7995148975175782264 T^{19} + 23743664711209770222 T^{20} + \)\(22\!\cdots\!52\)\( T^{21} - \)\(20\!\cdots\!21\)\( T^{22} - \)\(10\!\cdots\!36\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 20 T + 57 T^{2} + 124 T^{3} + 26767 T^{4} + 258208 T^{5} + 403724 T^{6} + 19732220 T^{7} + 380894284 T^{8} + 2094980066 T^{9} + 16014449293 T^{10} + 312895475826 T^{11} + 2857383169742 T^{12} + 20223947588302 T^{13} + 234825461586902 T^{14} + 2222853955193260 T^{15} + 17391213981381345 T^{16} + 184496878281040580 T^{17} + 1617712604872167878 T^{18} + 11563790319672435674 T^{19} + \)\(13\!\cdots\!82\)\( T^{20} + \)\(12\!\cdots\!18\)\( T^{21} + \)\(52\!\cdots\!17\)\( T^{22} + \)\(56\!\cdots\!82\)\( T^{23} + \)\(85\!\cdots\!44\)\( T^{24} + \)\(36\!\cdots\!60\)\( T^{25} + \)\(62\!\cdots\!76\)\( T^{26} + \)\(33\!\cdots\!36\)\( T^{27} + \)\(28\!\cdots\!87\)\( T^{28} + \)\(11\!\cdots\!12\)\( T^{29} + \)\(41\!\cdots\!53\)\( T^{30} + \)\(12\!\cdots\!40\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 20 T + 57 T^{2} - 124 T^{3} + 26767 T^{4} - 258208 T^{5} + 403724 T^{6} - 19732220 T^{7} + 380894284 T^{8} - 2094980066 T^{9} + 16014449293 T^{10} - 312895475826 T^{11} + 2857383169742 T^{12} - 20223947588302 T^{13} + 234825461586902 T^{14} - 2222853955193260 T^{15} + 17391213981381345 T^{16} - 184496878281040580 T^{17} + 1617712604872167878 T^{18} - 11563790319672435674 T^{19} + \)\(13\!\cdots\!82\)\( T^{20} - \)\(12\!\cdots\!18\)\( T^{21} + \)\(52\!\cdots\!17\)\( T^{22} - \)\(56\!\cdots\!82\)\( T^{23} + \)\(85\!\cdots\!44\)\( T^{24} - \)\(36\!\cdots\!60\)\( T^{25} + \)\(62\!\cdots\!76\)\( T^{26} - \)\(33\!\cdots\!36\)\( T^{27} + \)\(28\!\cdots\!87\)\( T^{28} - \)\(11\!\cdots\!12\)\( T^{29} + \)\(41\!\cdots\!53\)\( T^{30} - \)\(12\!\cdots\!40\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 5 T - 318 T^{2} - 3741 T^{3} + 48517 T^{4} + 994133 T^{5} - 3255786 T^{6} - 170309105 T^{7} - 263285806 T^{8} + 21750909411 T^{9} + 119250152558 T^{10} - 2097202277489 T^{11} - 20999477370338 T^{12} + 141328121959992 T^{13} + 2545394345691772 T^{14} - 4513257769614610 T^{15} - 237031046695965905 T^{16} - 374600394878012630 T^{17} + 17535221647470617308 T^{18} + 80809582871137945704 T^{19} - \)\(99\!\cdots\!98\)\( T^{20} - \)\(82\!\cdots\!27\)\( T^{21} + \)\(38\!\cdots\!02\)\( T^{22} + \)\(59\!\cdots\!97\)\( T^{23} - \)\(59\!\cdots\!46\)\( T^{24} - \)\(31\!\cdots\!15\)\( T^{25} - \)\(50\!\cdots\!14\)\( T^{26} + \)\(12\!\cdots\!11\)\( T^{27} + \)\(51\!\cdots\!37\)\( T^{28} - \)\(33\!\cdots\!83\)\( T^{29} - \)\(23\!\cdots\!22\)\( T^{30} + \)\(30\!\cdots\!35\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( ( 1 - 2 T + 89 T^{2} )^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{4} \))(\( ( 1 - 7 T + 179 T^{2} - 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 7 T + 179 T^{2} - 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{4} \))(\( ( 1 + 3 T + 89 T^{2} )^{4} \))(\( ( 1 + 3 T + 89 T^{2} )^{4} \))(\( ( 1 + 15 T + 89 T^{2} )^{4} \))(\( ( 1 + 15 T + 89 T^{2} )^{4} \))(\( ( 1 - 7 T + 179 T^{2} - 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{4} \))(\( ( 1 - 7 T + 179 T^{2} - 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 2 T + 89 T^{2} )^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{4} \))(\( ( 1 - 3 T - 83 T^{2} - 267 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 + 17 T + 312 T^{2} + 3419 T^{3} + 38939 T^{4} + 304291 T^{5} + 2471352 T^{6} + 11984473 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 17 T + 312 T^{2} + 3419 T^{3} + 38939 T^{4} + 304291 T^{5} + 2471352 T^{6} + 11984473 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 3 T - 83 T^{2} - 267 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 + 17 T + 312 T^{2} + 3419 T^{3} + 38939 T^{4} + 304291 T^{5} + 2471352 T^{6} + 11984473 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 21 T + 371 T^{2} + 3838 T^{3} + 33019 T^{4} + 166341 T^{5} + 704969 T^{6} )^{4} \))(\( ( 1 + 21 T + 371 T^{2} + 3838 T^{3} + 33019 T^{4} + 166341 T^{5} + 704969 T^{6} )^{4} \))(\( ( 1 - 37 T + 1032 T^{2} - 20901 T^{3} + 357823 T^{4} - 5152639 T^{5} + 65606528 T^{6} - 731972999 T^{7} + 7339853952 T^{8} - 65145596911 T^{9} + 519669308288 T^{10} - 3632450763191 T^{11} + 22450616901343 T^{12} - 116712426543549 T^{13} + 512884692271752 T^{14} - 1636559391134573 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 37 T + 1032 T^{2} - 20901 T^{3} + 357823 T^{4} - 5152639 T^{5} + 65606528 T^{6} - 731972999 T^{7} + 7339853952 T^{8} - 65145596911 T^{9} + 519669308288 T^{10} - 3632450763191 T^{11} + 22450616901343 T^{12} - 116712426543549 T^{13} + 512884692271752 T^{14} - 1636559391134573 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 37 T + 1032 T^{2} - 20901 T^{3} + 357823 T^{4} - 5152639 T^{5} + 65606528 T^{6} - 731972999 T^{7} + 7339853952 T^{8} - 65145596911 T^{9} + 519669308288 T^{10} - 3632450763191 T^{11} + 22450616901343 T^{12} - 116712426543549 T^{13} + 512884692271752 T^{14} - 1636559391134573 T^{15} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 + 34 T + 459 T^{2} + 3488 T^{3} + 25829 T^{4} + 338336 T^{5} + 4318731 T^{6} + 31030882 T^{7} + 88529281 T^{8} \))(\( 1 - 26 T + 459 T^{2} - 6352 T^{3} + 72389 T^{4} - 616144 T^{5} + 4318731 T^{6} - 23729498 T^{7} + 88529281 T^{8} \))(\( 1 + 7 T - 48 T^{2} - 1015 T^{3} - 2449 T^{4} - 98455 T^{5} - 451632 T^{6} + 6388711 T^{7} + 88529281 T^{8} \))(\( 1 + 7 T - 48 T^{2} - 1015 T^{3} - 2449 T^{4} - 98455 T^{5} - 451632 T^{6} + 6388711 T^{7} + 88529281 T^{8} \))(\( 1 - 10 T + 3 T^{2} + 940 T^{3} - 9691 T^{4} + 91180 T^{5} + 28227 T^{6} - 9126730 T^{7} + 88529281 T^{8} \))(\( 1 - T - 96 T^{2} + 193 T^{3} + 9119 T^{4} + 18721 T^{5} - 903264 T^{6} - 912673 T^{7} + 88529281 T^{8} \))(\( 1 - T - 96 T^{2} + 193 T^{3} + 9119 T^{4} + 18721 T^{5} - 903264 T^{6} - 912673 T^{7} + 88529281 T^{8} \))(\( 1 - 5 T - 72 T^{2} + 845 T^{3} + 2759 T^{4} + 81965 T^{5} - 677448 T^{6} - 4563365 T^{7} + 88529281 T^{8} \))(\( 1 - 5 T - 72 T^{2} + 845 T^{3} + 2759 T^{4} + 81965 T^{5} - 677448 T^{6} - 4563365 T^{7} + 88529281 T^{8} \))(\( 1 + 7 T - 48 T^{2} - 1015 T^{3} - 2449 T^{4} - 98455 T^{5} - 451632 T^{6} + 6388711 T^{7} + 88529281 T^{8} \))(\( 1 - 10 T + 3 T^{2} + 940 T^{3} - 9691 T^{4} + 91180 T^{5} + 28227 T^{6} - 9126730 T^{7} + 88529281 T^{8} \))(\( 1 + 7 T - 48 T^{2} - 1015 T^{3} - 2449 T^{4} - 98455 T^{5} - 451632 T^{6} + 6388711 T^{7} + 88529281 T^{8} \))(\( 1 + 34 T + 459 T^{2} + 3488 T^{3} + 25829 T^{4} + 338336 T^{5} + 4318731 T^{6} + 31030882 T^{7} + 88529281 T^{8} \))(\( 1 - 26 T + 459 T^{2} - 6352 T^{3} + 72389 T^{4} - 616144 T^{5} + 4318731 T^{6} - 23729498 T^{7} + 88529281 T^{8} \))(\( 1 - 181 T^{2} + 23352 T^{4} - 2523683 T^{6} + 237067655 T^{8} - 23745333347 T^{10} + 2067335769912 T^{12} - 150767932892149 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 15 T + 36 T^{2} + 375 T^{3} + 2412 T^{4} - 52890 T^{5} + 1250458 T^{6} + 18589350 T^{7} + 83790255 T^{8} + 1803166950 T^{9} + 11765559322 T^{10} - 48271274970 T^{11} + 213532625772 T^{12} + 3220252596375 T^{13} + 29986992177444 T^{14} + 1211974267171695 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 30 T + 361 T^{2} - 2160 T^{3} + 10062 T^{4} - 83370 T^{5} - 577417 T^{6} + 32754150 T^{7} - 458148745 T^{8} + 3177152550 T^{9} - 5432916553 T^{10} - 76089548010 T^{11} + 890781625422 T^{12} - 18548654955120 T^{13} + 300702893779369 T^{14} - 2423948534343390 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 181 T^{2} + 23352 T^{4} - 2523683 T^{6} + 237067655 T^{8} - 23745333347 T^{10} + 2067335769912 T^{12} - 150767932892149 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 15 T + 36 T^{2} + 375 T^{3} + 2412 T^{4} - 52890 T^{5} + 1250458 T^{6} + 18589350 T^{7} + 83790255 T^{8} + 1803166950 T^{9} + 11765559322 T^{10} - 48271274970 T^{11} + 213532625772 T^{12} + 3220252596375 T^{13} + 29986992177444 T^{14} + 1211974267171695 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 11 T - 138 T^{2} + 2685 T^{3} - 414 T^{4} - 183880 T^{5} + 1306526 T^{6} - 9183508 T^{7} - 69630505 T^{8} + 3158826216 T^{9} - 21575809142 T^{10} - 200368131722 T^{11} + 3986418389017 T^{12} - 19435708777034 T^{13} - 203006788217078 T^{14} + 2882975399035368 T^{15} - 6164338543316905 T^{16} - 78861907948881556 T^{17} + 1088299581711866654 T^{18} - 14857188549835418440 T^{19} - 3244697508072061854 T^{20} + \)\(20\!\cdots\!45\)\( T^{21} - \)\(10\!\cdots\!62\)\( T^{22} - \)\(78\!\cdots\!83\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 11 T - 138 T^{2} + 2685 T^{3} - 414 T^{4} - 183880 T^{5} + 1306526 T^{6} - 9183508 T^{7} - 69630505 T^{8} + 3158826216 T^{9} - 21575809142 T^{10} - 200368131722 T^{11} + 3986418389017 T^{12} - 19435708777034 T^{13} - 203006788217078 T^{14} + 2882975399035368 T^{15} - 6164338543316905 T^{16} - 78861907948881556 T^{17} + 1088299581711866654 T^{18} - 14857188549835418440 T^{19} - 3244697508072061854 T^{20} + \)\(20\!\cdots\!45\)\( T^{21} - \)\(10\!\cdots\!62\)\( T^{22} - \)\(78\!\cdots\!83\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 35 T + 248 T^{2} - 5577 T^{3} - 95113 T^{4} + 5579 T^{5} + 8611936 T^{6} + 29293955 T^{7} - 337756866 T^{8} + 1241258413 T^{9} + 46602892672 T^{10} - 183890451593 T^{11} - 7991146758268 T^{12} - 52842171229544 T^{13} + 128069756523188 T^{14} + 4904533562796750 T^{15} + 55268578137339225 T^{16} + 475739755591284750 T^{17} + 1205008339126675892 T^{18} - 48227622942581611112 T^{19} - \)\(70\!\cdots\!08\)\( T^{20} - \)\(15\!\cdots\!01\)\( T^{21} + \)\(38\!\cdots\!88\)\( T^{22} + \)\(10\!\cdots\!69\)\( T^{23} - \)\(26\!\cdots\!26\)\( T^{24} + \)\(22\!\cdots\!35\)\( T^{25} + \)\(63\!\cdots\!64\)\( T^{26} + \)\(39\!\cdots\!87\)\( T^{27} - \)\(65\!\cdots\!33\)\( T^{28} - \)\(37\!\cdots\!29\)\( T^{29} + \)\(16\!\cdots\!12\)\( T^{30} + \)\(22\!\cdots\!55\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 35 T + 248 T^{2} - 5577 T^{3} - 95113 T^{4} + 5579 T^{5} + 8611936 T^{6} + 29293955 T^{7} - 337756866 T^{8} + 1241258413 T^{9} + 46602892672 T^{10} - 183890451593 T^{11} - 7991146758268 T^{12} - 52842171229544 T^{13} + 128069756523188 T^{14} + 4904533562796750 T^{15} + 55268578137339225 T^{16} + 475739755591284750 T^{17} + 1205008339126675892 T^{18} - 48227622942581611112 T^{19} - \)\(70\!\cdots\!08\)\( T^{20} - \)\(15\!\cdots\!01\)\( T^{21} + \)\(38\!\cdots\!88\)\( T^{22} + \)\(10\!\cdots\!69\)\( T^{23} - \)\(26\!\cdots\!26\)\( T^{24} + \)\(22\!\cdots\!35\)\( T^{25} + \)\(63\!\cdots\!64\)\( T^{26} + \)\(39\!\cdots\!87\)\( T^{27} - \)\(65\!\cdots\!33\)\( T^{28} - \)\(37\!\cdots\!29\)\( T^{29} + \)\(16\!\cdots\!12\)\( T^{30} + \)\(22\!\cdots\!55\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 20 T + 123 T^{2} + 28 T^{3} + 4997 T^{4} - 239296 T^{5} + 2683386 T^{6} - 13918670 T^{7} + 12108314 T^{8} + 81926108 T^{9} + 9118270907 T^{10} - 123570735168 T^{11} + 816960697702 T^{12} + 3552108922056 T^{13} - 86512314985382 T^{14} - 43450963654390 T^{15} + 5424229096525225 T^{16} - 4214743474475830 T^{17} - 813994371697459238 T^{18} + 3241913906219615688 T^{19} + 72324943172816412262 T^{20} - \)\(10\!\cdots\!76\)\( T^{21} + \)\(75\!\cdots\!03\)\( T^{22} + \)\(66\!\cdots\!04\)\( T^{23} + \)\(94\!\cdots\!54\)\( T^{24} - \)\(10\!\cdots\!90\)\( T^{25} + \)\(19\!\cdots\!14\)\( T^{26} - \)\(17\!\cdots\!88\)\( T^{27} + \)\(34\!\cdots\!77\)\( T^{28} + \)\(18\!\cdots\!56\)\( T^{29} + \)\(80\!\cdots\!87\)\( T^{30} - \)\(12\!\cdots\!60\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))
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