Properties

Label 4730.2.a
Level 4730
Weight 2
Character orbit a
Rep. character \(\chi_{4730}(1,\cdot)\)
Character field \(\Q\)
Dimension 141
Newform subspaces 32
Sturm bound 1584
Trace bound 7

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Defining parameters

Level: \( N \) = \( 4730 = 2 \cdot 5 \cdot 11 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4730.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 32 \)
Sturm bound: \(1584\)
Trace bound: \(7\)
Distinguishing \(T_p\): \(3\), \(7\), \(13\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(4730))\).

Total New Old
Modular forms 800 141 659
Cusp forms 785 141 644
Eisenstein series 15 0 15

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

\(2\)\(5\)\(11\)\(43\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(+\)\(8\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(11\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(11\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(5\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(8\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(8\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(8\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(11\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(10\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(6\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(6\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(13\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(6\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(13\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(13\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(4\)
Plus space\(+\)\(51\)
Minus space\(-\)\(90\)

Trace form

\( 141q + q^{2} + 4q^{3} + 141q^{4} + q^{5} + 4q^{6} + 8q^{7} + q^{8} + 153q^{9} + O(q^{10}) \) \( 141q + q^{2} + 4q^{3} + 141q^{4} + q^{5} + 4q^{6} + 8q^{7} + q^{8} + 153q^{9} + q^{10} + q^{11} + 4q^{12} + 14q^{13} + 8q^{14} + 4q^{15} + 141q^{16} + 2q^{17} + 13q^{18} + 4q^{19} + q^{20} + 32q^{21} + q^{22} + 8q^{23} + 4q^{24} + 141q^{25} + 14q^{26} + 40q^{27} + 8q^{28} + 14q^{29} + 4q^{30} + 32q^{31} + q^{32} + 4q^{33} + 18q^{34} + 8q^{35} + 153q^{36} + 22q^{37} - 4q^{38} + 8q^{39} + q^{40} + 42q^{41} - 16q^{42} + q^{43} + q^{44} + 13q^{45} + 24q^{46} - 32q^{47} + 4q^{48} + 181q^{49} + q^{50} + 8q^{51} + 14q^{52} - 50q^{53} - 56q^{54} + q^{55} + 8q^{56} - 32q^{57} + 22q^{58} + 12q^{59} + 4q^{60} + 62q^{61} - 32q^{62} - 8q^{63} + 141q^{64} + 14q^{65} + 4q^{66} - 4q^{67} + 2q^{68} + 16q^{69} + 8q^{70} - 8q^{71} + 13q^{72} + 26q^{73} - 26q^{74} + 4q^{75} + 4q^{76} - 8q^{77} - 8q^{78} + 16q^{79} + q^{80} + 197q^{81} + 10q^{82} + 52q^{83} + 32q^{84} + 18q^{85} + q^{86} + 8q^{87} + q^{88} - 22q^{89} + 13q^{90} + 80q^{91} + 8q^{92} + 64q^{93} - 12q^{95} + 4q^{96} + 50q^{97} + 25q^{98} + 13q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(4730))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 11 43
4730.2.a.a \(1\) \(37.769\) \(\Q\) None \(-1\) \(-2\) \(1\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots\)
4730.2.a.b \(1\) \(37.769\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots\)
4730.2.a.c \(1\) \(37.769\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots\)
4730.2.a.d \(1\) \(37.769\) \(\Q\) None \(1\) \(-3\) \(1\) \(1\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{7}+\cdots\)
4730.2.a.e \(1\) \(37.769\) \(\Q\) None \(1\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
4730.2.a.f \(1\) \(37.769\) \(\Q\) None \(1\) \(0\) \(-1\) \(3\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-3q^{9}+\cdots\)
4730.2.a.g \(1\) \(37.769\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
4730.2.a.h \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
4730.2.a.i \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(1\) \(-3\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
4730.2.a.j \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(1\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots\)
4730.2.a.k \(1\) \(37.769\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
4730.2.a.l \(2\) \(37.769\) \(\Q(\sqrt{17}) \) None \(-2\) \(-1\) \(2\) \(-6\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-3q^{7}+\cdots\)
4730.2.a.m \(2\) \(37.769\) \(\Q(\sqrt{17}) \) None \(-2\) \(-1\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-2\beta q^{7}+\cdots\)
4730.2.a.n \(2\) \(37.769\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
4730.2.a.o \(2\) \(37.769\) \(\Q(\sqrt{13}) \) None \(-2\) \(1\) \(-2\) \(-1\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
4730.2.a.p \(2\) \(37.769\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.q \(2\) \(37.769\) \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(2\) \(-3\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.r \(2\) \(37.769\) \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(-2\) \(-5\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.s \(2\) \(37.769\) \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(2\) \(-5\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.t \(3\) \(37.769\) 3.3.1373.1 None \(-3\) \(0\) \(3\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.u \(4\) \(37.769\) 4.4.23252.1 None \(4\) \(-3\) \(4\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.v \(5\) \(37.769\) 5.5.220036.1 None \(5\) \(2\) \(-5\) \(-6\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.w \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-7\) \(8\) \(-6\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots\)
4730.2.a.x \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(0\) \(-8\) \(-5\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.y \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(3\) \(8\) \(11\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.z \(10\) \(37.769\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(8\) \(10\) \(3\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.ba \(10\) \(37.769\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(-1\) \(-10\) \(3\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.bb \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(-1\) \(-11\) \(6\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.bc \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(0\) \(-11\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.bd \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(3\) \(11\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.be \(12\) \(37.769\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(3\) \(12\) \(8\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.bf \(13\) \(37.769\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(0\) \(-13\) \(7\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(4730))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(4730)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(43))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(55))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(86))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(110))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(215))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(430))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(473))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(946))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2365))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{10} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{13} \))
$3$ (\( 1 + 2 T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 + T + 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + T + 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 - T + 3 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + T + 5 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T + T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - T + 5 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + T^{2} - 5 T^{3} + 3 T^{4} + 27 T^{6} \))(\( 1 + 3 T + 9 T^{2} + 16 T^{3} + 32 T^{4} + 48 T^{5} + 81 T^{6} + 81 T^{7} + 81 T^{8} \))(\( 1 - 2 T + 10 T^{2} - 13 T^{3} + 43 T^{4} - 43 T^{5} + 129 T^{6} - 117 T^{7} + 270 T^{8} - 162 T^{9} + 243 T^{10} \))(\( 1 + 7 T + 33 T^{2} + 117 T^{3} + 345 T^{4} + 882 T^{5} + 1996 T^{6} + 4052 T^{7} + 7394 T^{8} + 12156 T^{9} + 17964 T^{10} + 23814 T^{11} + 27945 T^{12} + 28431 T^{13} + 24057 T^{14} + 15309 T^{15} + 6561 T^{16} \))(\( 1 + 7 T^{2} - 3 T^{3} + 32 T^{4} - 18 T^{5} + 113 T^{6} - 51 T^{7} + 382 T^{8} - 153 T^{9} + 1017 T^{10} - 486 T^{11} + 2592 T^{12} - 729 T^{13} + 5103 T^{14} + 6561 T^{16} \))(\( 1 - 3 T + 15 T^{2} - 41 T^{3} + 118 T^{4} - 267 T^{5} + 596 T^{6} - 1136 T^{7} + 2099 T^{8} - 3408 T^{9} + 5364 T^{10} - 7209 T^{11} + 9558 T^{12} - 9963 T^{13} + 10935 T^{14} - 6561 T^{15} + 6561 T^{16} \))(\( 1 - 8 T + 40 T^{2} - 149 T^{3} + 465 T^{4} - 1271 T^{5} + 3141 T^{6} - 7101 T^{7} + 14782 T^{8} - 28512 T^{9} + 51138 T^{10} - 85536 T^{11} + 133038 T^{12} - 191727 T^{13} + 254421 T^{14} - 308853 T^{15} + 338985 T^{16} - 325863 T^{17} + 262440 T^{18} - 157464 T^{19} + 59049 T^{20} \))(\( 1 + T + 9 T^{2} + 5 T^{3} + 39 T^{4} + 16 T^{5} + 141 T^{6} + 93 T^{7} + 493 T^{8} + 457 T^{9} + 1570 T^{10} + 1371 T^{11} + 4437 T^{12} + 2511 T^{13} + 11421 T^{14} + 3888 T^{15} + 28431 T^{16} + 10935 T^{17} + 59049 T^{18} + 19683 T^{19} + 59049 T^{20} \))(\( 1 + T + 11 T^{2} + 9 T^{3} + 66 T^{4} + 31 T^{5} + 257 T^{6} - 35 T^{7} + 704 T^{8} - 725 T^{9} + 1638 T^{10} - 3146 T^{11} + 4914 T^{12} - 6525 T^{13} + 19008 T^{14} - 2835 T^{15} + 62451 T^{16} + 22599 T^{17} + 144342 T^{18} + 59049 T^{19} + 216513 T^{20} + 59049 T^{21} + 177147 T^{22} \))(\( 1 + 9 T^{2} - T^{3} + 47 T^{4} - 10 T^{5} + 226 T^{6} - 26 T^{7} + 923 T^{8} - 111 T^{9} + 3042 T^{10} - 544 T^{11} + 9126 T^{12} - 999 T^{13} + 24921 T^{14} - 2106 T^{15} + 54918 T^{16} - 7290 T^{17} + 102789 T^{18} - 6561 T^{19} + 177147 T^{20} + 177147 T^{22} \))(\( 1 - 3 T + 8 T^{2} - 18 T^{3} + 36 T^{4} - 59 T^{5} + 124 T^{6} - 207 T^{7} + 342 T^{8} - 662 T^{9} + 1239 T^{10} - 1910 T^{11} + 3717 T^{12} - 5958 T^{13} + 9234 T^{14} - 16767 T^{15} + 30132 T^{16} - 43011 T^{17} + 78732 T^{18} - 118098 T^{19} + 157464 T^{20} - 177147 T^{21} + 177147 T^{22} \))(\( 1 - 3 T + 10 T^{2} - 20 T^{3} + 61 T^{4} - 118 T^{5} + 315 T^{6} - 574 T^{7} + 1319 T^{8} - 2134 T^{9} + 4680 T^{10} - 7469 T^{11} + 15260 T^{12} - 22407 T^{13} + 42120 T^{14} - 57618 T^{15} + 106839 T^{16} - 139482 T^{17} + 229635 T^{18} - 258066 T^{19} + 400221 T^{20} - 393660 T^{21} + 590490 T^{22} - 531441 T^{23} + 531441 T^{24} \))(\( 1 + 7 T^{2} + 5 T^{3} + 22 T^{4} + 50 T^{5} + 49 T^{6} + 201 T^{7} + 202 T^{8} + 479 T^{9} + 830 T^{10} + 1238 T^{11} + 2485 T^{12} + 4118 T^{13} + 7455 T^{14} + 11142 T^{15} + 22410 T^{16} + 38799 T^{17} + 49086 T^{18} + 146529 T^{19} + 107163 T^{20} + 328050 T^{21} + 433026 T^{22} + 295245 T^{23} + 1240029 T^{24} + 1594323 T^{26} \))
$5$ (\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{13} \))
$7$ (\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( 1 + 2 T - 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( 1 + T + 11 T^{2} + 7 T^{3} + 49 T^{4} \))(\( 1 + 2 T + 13 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 3 T + 15 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 35 T^{3} + 49 T^{4} \))(\( 1 + 5 T + 19 T^{2} + 35 T^{3} + 49 T^{4} \))(\( 1 + 13 T^{2} + 5 T^{3} + 91 T^{4} + 343 T^{6} \))(\( 1 + 14 T^{2} - 2 T^{3} + 141 T^{4} - 14 T^{5} + 686 T^{6} + 2401 T^{8} \))(\( 1 + 6 T + 38 T^{2} + 135 T^{3} + 501 T^{4} + 1283 T^{5} + 3507 T^{6} + 6615 T^{7} + 13034 T^{8} + 14406 T^{9} + 16807 T^{10} \))(\( 1 + 6 T + 47 T^{2} + 201 T^{3} + 938 T^{4} + 3162 T^{5} + 11103 T^{6} + 31303 T^{7} + 91046 T^{8} + 219121 T^{9} + 544047 T^{10} + 1084566 T^{11} + 2252138 T^{12} + 3378207 T^{13} + 5529503 T^{14} + 4941258 T^{15} + 5764801 T^{16} \))(\( 1 + 5 T + 37 T^{2} + 169 T^{3} + 755 T^{4} + 2762 T^{5} + 9650 T^{6} + 28522 T^{7} + 82126 T^{8} + 199654 T^{9} + 472850 T^{10} + 947366 T^{11} + 1812755 T^{12} + 2840383 T^{13} + 4353013 T^{14} + 4117715 T^{15} + 5764801 T^{16} \))(\( 1 - 11 T + 83 T^{2} - 465 T^{3} + 2140 T^{4} - 8471 T^{5} + 29454 T^{6} - 91492 T^{7} + 255259 T^{8} - 640444 T^{9} + 1443246 T^{10} - 2905553 T^{11} + 5138140 T^{12} - 7815255 T^{13} + 9764867 T^{14} - 9058973 T^{15} + 5764801 T^{16} \))(\( 1 - 3 T + 28 T^{2} - 64 T^{3} + 366 T^{4} - 501 T^{5} + 2879 T^{6} - 1424 T^{7} + 17125 T^{8} + 5441 T^{9} + 107983 T^{10} + 38087 T^{11} + 839125 T^{12} - 488432 T^{13} + 6912479 T^{14} - 8420307 T^{15} + 43059534 T^{16} - 52706752 T^{17} + 161414428 T^{18} - 121060821 T^{19} + 282475249 T^{20} \))(\( 1 - 3 T + 23 T^{2} - 55 T^{3} + 377 T^{4} - 832 T^{5} + 4295 T^{6} - 8587 T^{7} + 41029 T^{8} - 74659 T^{9} + 310406 T^{10} - 522613 T^{11} + 2010421 T^{12} - 2945341 T^{13} + 10312295 T^{14} - 13983424 T^{15} + 44353673 T^{16} - 45294865 T^{17} + 132590423 T^{18} - 121060821 T^{19} + 282475249 T^{20} \))(\( 1 - 6 T + 41 T^{2} - 195 T^{3} + 853 T^{4} - 3192 T^{5} + 11332 T^{6} - 35308 T^{7} + 109189 T^{8} - 304757 T^{9} + 854564 T^{10} - 2261356 T^{11} + 5981948 T^{12} - 14933093 T^{13} + 37451827 T^{14} - 84774508 T^{15} + 190456924 T^{16} - 375535608 T^{17} + 702482179 T^{18} - 1124136195 T^{19} + 1654497887 T^{20} - 1694851494 T^{21} + 1977326743 T^{22} \))(\( 1 + 27 T^{2} + 7 T^{3} + 473 T^{4} + 202 T^{5} + 6048 T^{6} + 2690 T^{7} + 62377 T^{8} + 28705 T^{9} + 523534 T^{10} + 221576 T^{11} + 3664738 T^{12} + 1406545 T^{13} + 21395311 T^{14} + 6458690 T^{15} + 101648736 T^{16} + 23765098 T^{17} + 389535839 T^{18} + 40353607 T^{19} + 1089547389 T^{20} + 1977326743 T^{22} \))(\( 1 - 5 T + 50 T^{2} - 190 T^{3} + 1196 T^{4} - 3839 T^{5} + 18826 T^{6} - 52789 T^{7} + 217656 T^{8} - 541254 T^{9} + 1940685 T^{10} - 4289798 T^{11} + 13584795 T^{12} - 26521446 T^{13} + 74656008 T^{14} - 126746389 T^{15} + 316408582 T^{16} - 451654511 T^{17} + 984957428 T^{18} - 1095312190 T^{19} + 2017680350 T^{20} - 1412376245 T^{21} + 1977326743 T^{22} \))(\( 1 - 8 T + 48 T^{2} - 195 T^{3} + 734 T^{4} - 2357 T^{5} + 7837 T^{6} - 23232 T^{7} + 70531 T^{8} - 189801 T^{9} + 531413 T^{10} - 1351363 T^{11} + 3721760 T^{12} - 9459541 T^{13} + 26039237 T^{14} - 65101743 T^{15} + 169344931 T^{16} - 390460224 T^{17} + 922015213 T^{18} - 1941090851 T^{19} + 4231363934 T^{20} - 7868953365 T^{21} + 13558811952 T^{22} - 15818613944 T^{23} + 13841287201 T^{24} \))(\( 1 - 7 T + 55 T^{2} - 267 T^{3} + 1347 T^{4} - 5442 T^{5} + 22070 T^{6} - 79322 T^{7} + 278950 T^{8} - 908818 T^{9} + 2841829 T^{10} - 8427511 T^{11} + 23807104 T^{12} - 64576498 T^{13} + 166649728 T^{14} - 412948039 T^{15} + 974747347 T^{16} - 2182072018 T^{17} + 4688312650 T^{18} - 9332153978 T^{19} + 18175594010 T^{20} - 31372047042 T^{21} + 54356308629 T^{22} - 75420891483 T^{23} + 108752970865 T^{24} - 96889010407 T^{25} + 96889010407 T^{26} \))
$11$ (\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{13} \))
$13$ (\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 3 T + 24 T^{2} - 39 T^{3} + 169 T^{4} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( 1 + 2 T + 24 T^{2} + 26 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - 4 T + 28 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{3} \))(\( 1 + 9 T + 72 T^{2} + 345 T^{3} + 1512 T^{4} + 4485 T^{5} + 12168 T^{6} + 19773 T^{7} + 28561 T^{8} \))(\( 1 + 12 T + 107 T^{2} + 654 T^{3} + 3288 T^{4} + 12956 T^{5} + 42744 T^{6} + 110526 T^{7} + 235079 T^{8} + 342732 T^{9} + 371293 T^{10} \))(\( 1 + 2 T + 62 T^{2} + 92 T^{3} + 1736 T^{4} + 1868 T^{5} + 30866 T^{6} + 25246 T^{7} + 430990 T^{8} + 328198 T^{9} + 5216354 T^{10} + 4103996 T^{11} + 49581896 T^{12} + 34158956 T^{13} + 299262158 T^{14} + 125497034 T^{15} + 815730721 T^{16} \))(\( 1 + 3 T + 70 T^{2} + 223 T^{3} + 2446 T^{4} + 7341 T^{5} + 55070 T^{6} + 144353 T^{7} + 855786 T^{8} + 1876589 T^{9} + 9306830 T^{10} + 16128177 T^{11} + 69860206 T^{12} + 82798339 T^{13} + 337876630 T^{14} + 188245551 T^{15} + 815730721 T^{16} \))(\( 1 - 6 T + 56 T^{2} - 198 T^{3} + 812 T^{4} - 562 T^{5} - 5096 T^{6} + 52030 T^{7} - 217882 T^{8} + 676390 T^{9} - 861224 T^{10} - 1234714 T^{11} + 23191532 T^{12} - 73516014 T^{13} + 270301304 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 - 7 T + 68 T^{2} - 477 T^{3} + 2739 T^{4} - 15750 T^{5} + 76220 T^{6} - 354402 T^{7} + 1523764 T^{8} - 5999736 T^{9} + 22762496 T^{10} - 77996568 T^{11} + 257516116 T^{12} - 778621194 T^{13} + 2176919420 T^{14} - 5847864750 T^{15} + 13220629851 T^{16} - 29931042609 T^{17} + 55469689028 T^{18} - 74231495611 T^{19} + 137858491849 T^{20} \))(\( 1 - 6 T + 84 T^{2} - 418 T^{3} + 3205 T^{4} - 13516 T^{5} + 75728 T^{6} - 277812 T^{7} + 1302530 T^{8} - 4304704 T^{9} + 18295160 T^{10} - 55961152 T^{11} + 220127570 T^{12} - 610352964 T^{13} + 2162867408 T^{14} - 5018396188 T^{15} + 15469922845 T^{16} - 26228880106 T^{17} + 68521380564 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 - 4 T + 69 T^{2} - 214 T^{3} + 2317 T^{4} - 6388 T^{5} + 55721 T^{6} - 144536 T^{7} + 1064202 T^{8} - 2539080 T^{9} + 16477738 T^{10} - 35978532 T^{11} + 214210594 T^{12} - 429104520 T^{13} + 2338051794 T^{14} - 4128092696 T^{15} + 20688817253 T^{16} - 30833655892 T^{17} + 145388313889 T^{18} - 174566374294 T^{19} + 731710456737 T^{20} - 551433967396 T^{21} + 1792160394037 T^{22} \))(\( 1 + T + 41 T^{2} + 32 T^{3} + 829 T^{4} + 1349 T^{5} + 13917 T^{6} + 37648 T^{7} + 229110 T^{8} + 608578 T^{9} + 3416646 T^{10} + 7778400 T^{11} + 44416398 T^{12} + 102849682 T^{13} + 503354670 T^{14} + 1075264528 T^{15} + 5167284681 T^{16} + 6511365341 T^{17} + 52018520593 T^{18} + 26103383072 T^{19} + 434784474293 T^{20} + 137858491849 T^{21} + 1792160394037 T^{22} \))(\( 1 - T + 81 T^{2} - 78 T^{3} + 3405 T^{4} - 3133 T^{5} + 96573 T^{6} - 84232 T^{7} + 2036230 T^{8} - 1653738 T^{9} + 33403870 T^{10} - 24588436 T^{11} + 434250310 T^{12} - 279481722 T^{13} + 4473597310 T^{14} - 2405750152 T^{15} + 35856878889 T^{16} - 15122392597 T^{17} + 213658700385 T^{18} - 63626996238 T^{19} + 858964449213 T^{20} - 137858491849 T^{21} + 1792160394037 T^{22} \))(\( 1 - 16 T + 190 T^{2} - 1610 T^{3} + 11714 T^{4} - 72126 T^{5} + 404502 T^{6} - 2041308 T^{7} + 9651151 T^{8} - 42172772 T^{9} + 174989468 T^{10} - 679932320 T^{11} + 2527194876 T^{12} - 8839120160 T^{13} + 29573220092 T^{14} - 92653580084 T^{15} + 275646523711 T^{16} - 757923371244 T^{17} + 1952453894118 T^{18} - 4525799537142 T^{19} + 9555469665794 T^{20} - 17073243990530 T^{21} + 26193113451310 T^{22} - 28674566304592 T^{23} + 23298085122481 T^{24} \))(\( 1 - 11 T + 75 T^{2} - 382 T^{3} + 1978 T^{4} - 9930 T^{5} + 46646 T^{6} - 195198 T^{7} + 796185 T^{8} - 3305893 T^{9} + 13747971 T^{10} - 54137268 T^{11} + 200442712 T^{12} - 724655468 T^{13} + 2605755256 T^{14} - 9149198292 T^{15} + 30204292287 T^{16} - 94419609973 T^{17} + 295617917205 T^{18} - 942183463182 T^{19} + 2926967323982 T^{20} - 8100206059530 T^{21} + 20975699759794 T^{22} - 52661943886318 T^{23} + 134412029552775 T^{24} - 256278936347291 T^{25} + 302875106592253 T^{26} \))
$17$ (\( 1 - 6 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 7 T + 42 T^{2} - 119 T^{3} + 289 T^{4} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 23 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + T + 31 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + T + 3 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 - T + 29 T^{2} - 17 T^{3} + 289 T^{4} \))(\( 1 + T + 33 T^{2} + 17 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 49 T^{2} + 191 T^{3} + 833 T^{4} + 2312 T^{5} + 4913 T^{6} \))(\( 1 + 15 T + 115 T^{2} + 582 T^{3} + 2488 T^{4} + 9894 T^{5} + 33235 T^{6} + 73695 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 34 T^{2} - 27 T^{3} + 427 T^{4} - 1493 T^{5} + 7259 T^{6} - 7803 T^{7} + 167042 T^{8} + 167042 T^{9} + 1419857 T^{10} \))(\( 1 + 8 T + 117 T^{2} + 781 T^{3} + 6252 T^{4} + 34310 T^{5} + 199135 T^{6} + 896479 T^{7} + 4139526 T^{8} + 15240143 T^{9} + 57550015 T^{10} + 168565030 T^{11} + 522173292 T^{12} + 1108908317 T^{13} + 2824095573 T^{14} + 3282709384 T^{15} + 6975757441 T^{16} \))(\( 1 - 10 T + 141 T^{2} - 1041 T^{3} + 8404 T^{4} - 48766 T^{5} + 284407 T^{6} - 1325529 T^{7} + 6029038 T^{8} - 22533993 T^{9} + 82193623 T^{10} - 239587358 T^{11} + 701910484 T^{12} - 1478071137 T^{13} + 3403397229 T^{14} - 4103386730 T^{15} + 6975757441 T^{16} \))(\( 1 - 9 T + 87 T^{2} - 601 T^{3} + 3904 T^{4} - 21757 T^{5} + 112362 T^{6} - 522986 T^{7} + 2280891 T^{8} - 8890762 T^{9} + 32472618 T^{10} - 106892141 T^{11} + 326065984 T^{12} - 853334057 T^{13} + 2099968503 T^{14} - 3693048057 T^{15} + 6975757441 T^{16} \))(\( 1 - 2 T + 96 T^{2} - 145 T^{3} + 4785 T^{4} - 5793 T^{5} + 161427 T^{6} - 162113 T^{7} + 4038980 T^{8} - 3497112 T^{9} + 77878470 T^{10} - 59450904 T^{11} + 1167265220 T^{12} - 796461169 T^{13} + 13482544467 T^{14} - 8225231601 T^{15} + 115498267665 T^{16} - 59499107585 T^{17} + 669672714336 T^{18} - 237175752994 T^{19} + 2015993900449 T^{20} \))(\( 1 - 3 T + 79 T^{2} - 55 T^{3} + 2667 T^{4} + 3370 T^{5} + 63817 T^{6} + 183251 T^{7} + 1240693 T^{8} + 5099123 T^{9} + 21063318 T^{10} + 86685091 T^{11} + 358560277 T^{12} + 900312163 T^{13} + 5330059657 T^{14} + 4784918090 T^{15} + 64374896523 T^{16} - 22568627015 T^{17} + 551084837839 T^{18} - 355763629491 T^{19} + 2015993900449 T^{20} \))(\( 1 + 10 T + 113 T^{2} + 787 T^{3} + 5635 T^{4} + 31710 T^{5} + 178382 T^{6} + 861634 T^{7} + 4228065 T^{8} + 18442633 T^{9} + 82974330 T^{10} + 335085016 T^{11} + 1410563610 T^{12} + 5329920937 T^{13} + 20772483345 T^{14} + 71964533314 T^{15} + 253276931374 T^{16} + 765402312990 T^{17} + 2312258422355 T^{18} + 5489921106067 T^{19} + 13400430044161 T^{20} + 20159939004490 T^{21} + 34271896307633 T^{22} \))(\( 1 + 15 T + 190 T^{2} + 1518 T^{3} + 10784 T^{4} + 58513 T^{5} + 297048 T^{6} + 1252827 T^{7} + 5352196 T^{8} + 20528234 T^{9} + 86348225 T^{10} + 337303490 T^{11} + 1467919825 T^{12} + 5932659626 T^{13} + 26295338948 T^{14} + 104637363867 T^{15} + 421765682136 T^{16} + 1412361574897 T^{17} + 4425092249632 T^{18} + 10589199795438 T^{19} + 22531696534430 T^{20} + 30239908506735 T^{21} + 34271896307633 T^{22} \))(\( 1 - 8 T + 102 T^{2} - 673 T^{3} + 5299 T^{4} - 29681 T^{5} + 185052 T^{6} - 912175 T^{7} + 4851713 T^{8} - 21430231 T^{9} + 101099041 T^{10} - 403343552 T^{11} + 1718683697 T^{12} - 6193336759 T^{13} + 23836465969 T^{14} - 76185768175 T^{15} + 262747377564 T^{16} - 716427185489 T^{17} + 2174384628227 T^{18} - 4694684757793 T^{19} + 12095963402694 T^{20} - 16127951203592 T^{21} + 34271896307633 T^{22} \))(\( 1 - 18 T + 234 T^{2} - 2329 T^{3} + 19874 T^{4} - 147979 T^{5} + 992157 T^{6} - 6051758 T^{7} + 34033979 T^{8} - 177362485 T^{9} + 861964541 T^{10} - 3916766233 T^{11} + 16680080260 T^{12} - 66585025961 T^{13} + 249107752349 T^{14} - 871381888805 T^{15} + 2842551960059 T^{16} - 8592630958606 T^{17} + 23948258046333 T^{18} - 60721506491867 T^{19} + 138636203382434 T^{20} - 276191164361513 T^{21} + 471742572705066 T^{22} - 616894133537394 T^{23} + 582622237229761 T^{24} \))(\( 1 + 2 T + 67 T^{2} + 163 T^{3} + 2718 T^{4} + 6056 T^{5} + 82177 T^{6} + 154121 T^{7} + 2009116 T^{8} + 3235927 T^{9} + 42051082 T^{10} + 59922182 T^{11} + 791261731 T^{12} + 1033688050 T^{13} + 13451449427 T^{14} + 17317510598 T^{15} + 206596965866 T^{16} + 270267858967 T^{17} + 2852657416412 T^{18} + 3720106271849 T^{19} + 33720401131121 T^{20} + 42245187062696 T^{21} + 322321848318846 T^{22} + 328607005773187 T^{23} + 2296217052611411 T^{24} + 1165244474459522 T^{25} + 9904578032905937 T^{26} \))
$19$ (\( 1 - 6 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( 1 + 6 T + 30 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 11 T^{2} + 361 T^{4} \))(\( 1 + 7 T + 47 T^{2} + 133 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 37 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 7 T + 49 T^{2} + 133 T^{3} + 361 T^{4} \))(\( 1 - 5 T + 39 T^{2} - 95 T^{3} + 361 T^{4} \))(\( 1 + 9 T + 47 T^{2} + 171 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 37 T^{2} - 75 T^{3} + 703 T^{4} - 722 T^{5} + 6859 T^{6} \))(\( 1 + 2 T + 44 T^{2} + 6 T^{3} + 891 T^{4} + 114 T^{5} + 15884 T^{6} + 13718 T^{7} + 130321 T^{8} \))(\( 1 + 4 T + 38 T^{2} + 43 T^{3} + 437 T^{4} - 1015 T^{5} + 8303 T^{6} + 15523 T^{7} + 260642 T^{8} + 521284 T^{9} + 2476099 T^{10} \))(\( 1 + 69 T^{2} - 17 T^{3} + 2296 T^{4} + 54 T^{5} + 50801 T^{6} + 17155 T^{7} + 953410 T^{8} + 325945 T^{9} + 18339161 T^{10} + 370386 T^{11} + 299217016 T^{12} - 42093683 T^{13} + 3246165789 T^{14} + 16983563041 T^{16} \))(\( 1 + 15 T + 191 T^{2} + 1607 T^{3} + 12491 T^{4} + 77878 T^{5} + 458434 T^{6} + 2278158 T^{7} + 10737550 T^{8} + 43285002 T^{9} + 165494674 T^{10} + 534165202 T^{11} + 1627839611 T^{12} + 3979091093 T^{13} + 8985763271 T^{14} + 13408076085 T^{15} + 16983563041 T^{16} \))(\( 1 - 9 T + 117 T^{2} - 767 T^{3} + 5924 T^{4} - 32115 T^{5} + 186316 T^{6} - 864248 T^{7} + 4124941 T^{8} - 16420712 T^{9} + 67260076 T^{10} - 220276785 T^{11} + 772021604 T^{12} - 1899167933 T^{13} + 5504368077 T^{14} - 8044845651 T^{15} + 16983563041 T^{16} \))(\( 1 + 7 T + 122 T^{2} + 690 T^{3} + 6892 T^{4} + 31513 T^{5} + 238673 T^{6} + 908590 T^{7} + 5931789 T^{8} + 19825389 T^{9} + 120772887 T^{10} + 376682391 T^{11} + 2141375829 T^{12} + 6232018810 T^{13} + 31104104033 T^{14} + 78029307787 T^{15} + 324240211852 T^{16} + 616771499910 T^{17} + 2071994691002 T^{18} + 2258813884453 T^{19} + 6131066257801 T^{20} \))(\( 1 - 3 T + 115 T^{2} - 247 T^{3} + 5989 T^{4} - 9726 T^{5} + 197455 T^{6} - 260451 T^{7} + 4838977 T^{8} - 5570165 T^{9} + 98435590 T^{10} - 105833135 T^{11} + 1746870697 T^{12} - 1786433409 T^{13} + 25732533055 T^{14} - 24082538874 T^{15} + 281757781309 T^{16} - 220786319533 T^{17} + 1953109749715 T^{18} - 968063093337 T^{19} + 6131066257801 T^{20} \))(\( 1 - 14 T + 139 T^{2} - 1081 T^{3} + 7803 T^{4} - 51898 T^{5} + 318510 T^{6} - 1798606 T^{7} + 9535247 T^{8} - 47724665 T^{9} + 226979392 T^{10} - 1016995472 T^{11} + 4312608448 T^{12} - 17228604065 T^{13} + 65402259173 T^{14} - 234396132526 T^{15} + 788662292490 T^{16} - 2441587132138 T^{17} + 6974881179417 T^{18} - 18359231647321 T^{19} + 44853589991281 T^{20} - 85834927609214 T^{21} + 116490258898219 T^{22} \))(\( 1 - 14 T + 185 T^{2} - 1533 T^{3} + 12031 T^{4} - 72960 T^{5} + 431746 T^{6} - 2128060 T^{7} + 10682125 T^{8} - 46690135 T^{9} + 217936282 T^{10} - 909250624 T^{11} + 4140789358 T^{12} - 16855138735 T^{13} + 73268695375 T^{14} - 277330907260 T^{15} + 1069045838854 T^{16} - 3432467477760 T^{17} + 10754170891909 T^{18} - 26035802141853 T^{19} + 59697224089115 T^{20} - 85834927609214 T^{21} + 116490258898219 T^{22} \))(\( 1 - T + 102 T^{2} - 46 T^{3} + 5342 T^{4} - 1261 T^{5} + 194504 T^{6} - 48101 T^{7} + 5474534 T^{8} - 1617136 T^{9} + 124760351 T^{10} - 37040174 T^{11} + 2370446669 T^{12} - 583786096 T^{13} + 37549828706 T^{14} - 6268570421 T^{15} + 481611159896 T^{16} - 59324855941 T^{17} + 4775062829738 T^{18} - 781243899886 T^{19} + 32914145173458 T^{20} - 6131066257801 T^{21} + 116490258898219 T^{22} \))(\( 1 + 4 T + 88 T^{2} + 199 T^{3} + 3814 T^{4} + 7351 T^{5} + 133259 T^{6} + 250836 T^{7} + 3633077 T^{8} + 6088153 T^{9} + 83260779 T^{10} + 140182317 T^{11} + 1720895564 T^{12} + 2663464023 T^{13} + 30057141219 T^{14} + 41758641427 T^{15} + 473466227717 T^{16} + 621094768764 T^{17} + 6269287056179 T^{18} + 6570851153389 T^{19} + 64775309438374 T^{20} + 64214851858021 T^{21} + 539533830686488 T^{22} + 465961035592876 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 7 T + 133 T^{2} - 733 T^{3} + 8113 T^{4} - 36066 T^{5} + 308714 T^{6} - 1152722 T^{7} + 8733404 T^{8} - 29094256 T^{9} + 209356519 T^{10} - 655415059 T^{11} + 4489611260 T^{12} - 13285488074 T^{13} + 85302613940 T^{14} - 236604836299 T^{15} + 1435976363821 T^{16} - 3791592536176 T^{17} + 21624772910996 T^{18} - 54230822038082 T^{19} + 275950720033646 T^{20} - 612529184636706 T^{21} + 2617965292081027 T^{22} - 4494071566968133 T^{23} + 15493204433463127 T^{24} - 15493204433463127 T^{25} + 42052983462257059 T^{26} \))
$23$ (\( 1 - 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 10 T + 54 T^{2} + 230 T^{3} + 529 T^{4} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( 1 - 6 T + 52 T^{2} - 138 T^{3} + 529 T^{4} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( 1 + 4 T + 48 T^{2} + 92 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{3} \))(\( 1 + 14 T + 132 T^{2} + 828 T^{3} + 4478 T^{4} + 19044 T^{5} + 69828 T^{6} + 170338 T^{7} + 279841 T^{8} \))(\( 1 + 6 T + 69 T^{2} + 302 T^{3} + 1844 T^{4} + 7512 T^{5} + 42412 T^{6} + 159758 T^{7} + 839523 T^{8} + 1679046 T^{9} + 6436343 T^{10} \))(\( 1 + 18 T + 282 T^{2} + 2920 T^{3} + 26876 T^{4} + 197944 T^{5} + 1320702 T^{6} + 7469186 T^{7} + 38622038 T^{8} + 171791278 T^{9} + 698651358 T^{10} + 2408384648 T^{11} + 7521006716 T^{12} + 18794121560 T^{13} + 41746120698 T^{14} + 61286858046 T^{15} + 78310985281 T^{16} \))(\( 1 - 12 T + 144 T^{2} - 1314 T^{3} + 9984 T^{4} - 68418 T^{5} + 415920 T^{6} - 2268876 T^{7} + 11517758 T^{8} - 52184148 T^{9} + 220021680 T^{10} - 832441806 T^{11} + 2793932544 T^{12} - 8457354702 T^{13} + 21317168016 T^{14} - 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 + 2 T + 96 T^{2} + 126 T^{3} + 3588 T^{4} - 818 T^{5} + 67120 T^{6} - 218798 T^{7} + 1067670 T^{8} - 5032354 T^{9} + 35506480 T^{10} - 9952606 T^{11} + 1004069508 T^{12} + 810979218 T^{13} + 14211445344 T^{14} + 6809650894 T^{15} + 78310985281 T^{16} \))(\( 1 - 12 T + 150 T^{2} - 1150 T^{3} + 8249 T^{4} - 41650 T^{5} + 187704 T^{6} - 456090 T^{7} + 217430 T^{8} + 10641030 T^{9} - 59134492 T^{10} + 244743690 T^{11} + 115020470 T^{12} - 5549247030 T^{13} + 52527275064 T^{14} - 268073685950 T^{15} + 1221148048361 T^{16} - 3915549264050 T^{17} + 11746647792150 T^{18} - 21613831937556 T^{19} + 41426511213649 T^{20} \))(\( 1 + 6 T + 88 T^{2} + 366 T^{3} + 3093 T^{4} + 6756 T^{5} + 58336 T^{6} - 19340 T^{7} + 857690 T^{8} - 2683544 T^{9} + 16598352 T^{10} - 61721512 T^{11} + 453718010 T^{12} - 235309780 T^{13} + 16324804576 T^{14} + 43483933308 T^{15} + 457875004677 T^{16} + 1246166113602 T^{17} + 6891366704728 T^{18} + 10806915968778 T^{19} + 41426511213649 T^{20} \))(\( 1 + 18 T + 319 T^{2} + 3714 T^{3} + 40117 T^{4} + 351722 T^{5} + 2862803 T^{6} + 20204856 T^{7} + 133116154 T^{8} + 781361156 T^{9} + 4297024446 T^{10} + 21277738828 T^{11} + 98831562258 T^{12} + 413340051524 T^{13} + 1619624245718 T^{14} + 5654147107896 T^{15} + 18425982049429 T^{16} + 52067478950858 T^{17} + 136591382457299 T^{18} + 290846999333634 T^{19} + 574567699006697 T^{20} + 745677201845682 T^{21} + 952809757913927 T^{22} \))(\( 1 + 2 T + 51 T^{2} - 60 T^{3} + 649 T^{4} - 6798 T^{5} - 12621 T^{6} - 166496 T^{7} - 95318 T^{8} + 1344684 T^{9} + 15692814 T^{10} + 102181688 T^{11} + 360934722 T^{12} + 711337836 T^{13} - 1159734106 T^{14} - 46592407136 T^{15} - 81233085003 T^{16} - 1006347973422 T^{17} + 2209731715103 T^{18} - 4698659116860 T^{19} + 91858785734613 T^{20} + 82853022427298 T^{21} + 952809757913927 T^{22} \))(\( 1 - 20 T + 325 T^{2} - 3740 T^{3} + 37775 T^{4} - 320356 T^{5} + 2467139 T^{6} - 16860976 T^{7} + 106678186 T^{8} - 613971656 T^{9} + 3305956354 T^{10} - 16363048296 T^{11} + 76036996142 T^{12} - 324791006024 T^{13} + 1297953489062 T^{14} - 4718392384816 T^{15} + 15879352832677 T^{16} - 47424185256484 T^{17} + 128617281260425 T^{18} - 292883084950940 T^{19} + 585374614975475 T^{20} - 828530224272980 T^{21} + 952809757913927 T^{22} \))(\( 1 - 8 T + 222 T^{2} - 1622 T^{3} + 23758 T^{4} - 156190 T^{5} + 1609758 T^{6} - 9435796 T^{7} + 76497695 T^{8} - 397398220 T^{9} + 2677343844 T^{10} - 12246544760 T^{11} + 70659812068 T^{12} - 281670529480 T^{13} + 1416314893476 T^{14} - 4835144142740 T^{15} + 21407191466495 T^{16} - 60732019534028 T^{17} + 238301956604862 T^{18} - 531799686566930 T^{19} + 1860512388305998 T^{20} - 2921469616892986 T^{21} + 9196685489430078 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 12 T + 235 T^{2} - 2110 T^{3} + 24018 T^{4} - 178048 T^{5} + 1515766 T^{6} - 9755958 T^{7} + 68250451 T^{8} - 391837716 T^{9} + 2366333961 T^{10} - 12302060204 T^{11} + 66093027700 T^{12} - 312696182080 T^{13} + 1520139637100 T^{14} - 6507789847916 T^{15} + 28791185303487 T^{16} - 109652258283156 T^{17} + 439283312540693 T^{18} - 1444231915576662 T^{19} + 5160918648497402 T^{20} - 13943114307311488 T^{21} + 43260084623018334 T^{22} - 87409938660799390 T^{23} + 223910293109772845 T^{24} - 262975493184243852 T^{25} + 504036361936467383 T^{26} \))
$29$ (\( 1 - 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 4 T + 45 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 7 T + 66 T^{2} + 203 T^{3} + 841 T^{4} \))(\( 1 + 55 T^{2} + 841 T^{4} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( 1 - 2 T + 57 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 38 T^{2} + 841 T^{4} \))(\( 1 + 6 T + 46 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 + 2 T + 14 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 - 11 T + 113 T^{2} - 650 T^{3} + 3277 T^{4} - 9251 T^{5} + 24389 T^{6} \))(\( 1 + 8 T + 120 T^{2} + 678 T^{3} + 5267 T^{4} + 19662 T^{5} + 100920 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 19 T + 264 T^{2} + 2495 T^{3} + 18967 T^{4} + 112660 T^{5} + 550043 T^{6} + 2098295 T^{7} + 6438696 T^{8} + 13438339 T^{9} + 20511149 T^{10} \))(\( 1 - 8 T + 98 T^{2} - 882 T^{3} + 7209 T^{4} - 48058 T^{5} + 342856 T^{6} - 2001388 T^{7} + 11097800 T^{8} - 58040252 T^{9} + 288341896 T^{10} - 1172086562 T^{11} + 5098788729 T^{12} - 18090833418 T^{13} + 58292685458 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 + 6 T + 144 T^{2} + 868 T^{3} + 10951 T^{4} + 57602 T^{5} + 538630 T^{6} + 2439728 T^{7} + 18403684 T^{8} + 70752112 T^{9} + 452987830 T^{10} + 1404855178 T^{11} + 7745434231 T^{12} + 17803677332 T^{13} + 85654558224 T^{14} + 103499257854 T^{15} + 500246412961 T^{16} \))(\( 1 + 10 T + 189 T^{2} + 1466 T^{3} + 16362 T^{4} + 104346 T^{5} + 861411 T^{6} + 4575426 T^{7} + 30229322 T^{8} + 132687354 T^{9} + 724446651 T^{10} + 2544894594 T^{11} + 11572531722 T^{12} + 30069344434 T^{13} + 112421607669 T^{14} + 172498763090 T^{15} + 500246412961 T^{16} \))(\( 1 + 12 T + 172 T^{2} + 1212 T^{3} + 11748 T^{4} + 71742 T^{5} + 623346 T^{6} + 3458610 T^{7} + 25499875 T^{8} + 122678304 T^{9} + 805916100 T^{10} + 3557670816 T^{11} + 21445394875 T^{12} + 84352039290 T^{13} + 440880782226 T^{14} + 1471510851558 T^{15} + 6987984375108 T^{16} + 20906850086508 T^{17} + 86042383029292 T^{18} + 174085751710428 T^{19} + 420707233300201 T^{20} \))(\( 1 - 14 T + 227 T^{2} - 2556 T^{3} + 25513 T^{4} - 227998 T^{5} + 1788476 T^{6} - 13009482 T^{7} + 85714862 T^{8} - 520127830 T^{9} + 2927629890 T^{10} - 15083707070 T^{11} + 72086198942 T^{12} - 317288256498 T^{13} + 1264955093756 T^{14} - 4676500949702 T^{15} + 15175727388673 T^{16} - 44090683845804 T^{17} + 113555935742147 T^{18} - 203100043662166 T^{19} + 420707233300201 T^{20} \))(\( 1 + 6 T + 185 T^{2} + 1098 T^{3} + 17276 T^{4} + 100744 T^{5} + 1083130 T^{6} + 6059792 T^{7} + 50753057 T^{8} + 264521298 T^{9} + 1857219847 T^{10} + 8754314412 T^{11} + 53859375563 T^{12} + 222462411618 T^{13} + 1237816307173 T^{14} + 4285975745552 T^{15} + 22216240816370 T^{16} + 59924880650824 T^{17} + 298008863114284 T^{18} + 549270561431178 T^{19} + 2683822005535765 T^{20} + 2524243399801206 T^{21} + 12200509765705829 T^{22} \))(\( 1 - 6 T + 197 T^{2} - 786 T^{3} + 16314 T^{4} - 31494 T^{5} + 725212 T^{6} + 659564 T^{7} + 18055719 T^{8} + 113612508 T^{9} + 278915525 T^{10} + 4809763564 T^{11} + 8088550225 T^{12} + 95548119228 T^{13} + 440360930691 T^{14} + 466497085484 T^{15} + 14874931388588 T^{16} - 18733365671574 T^{17} + 281414482105026 T^{18} - 393193680587346 T^{19} + 2857907757246193 T^{20} - 2524243399801206 T^{21} + 12200509765705829 T^{22} \))(\( 1 - 9 T + 162 T^{2} - 1053 T^{3} + 12166 T^{4} - 63513 T^{5} + 608249 T^{6} - 2695188 T^{7} + 23466090 T^{8} - 91017590 T^{9} + 758047824 T^{10} - 2714096862 T^{11} + 21983386896 T^{12} - 76545793190 T^{13} + 572314469010 T^{14} - 1906255263828 T^{15} + 12475885868101 T^{16} - 37779013586673 T^{17} + 209861995175294 T^{18} - 526759472847933 T^{19} + 2350157648090778 T^{20} - 3786365099701809 T^{21} + 12200509765705829 T^{22} \))(\( 1 - 20 T + 326 T^{2} - 3606 T^{3} + 34427 T^{4} - 269478 T^{5} + 1908284 T^{6} - 12081496 T^{7} + 72893767 T^{8} - 420033604 T^{9} + 2390489470 T^{10} - 13286095452 T^{11} + 72603739482 T^{12} - 385296768108 T^{13} + 2010401644270 T^{14} - 10244199567956 T^{15} + 51556376417527 T^{16} - 247805364598904 T^{17} + 1135091826291164 T^{18} - 4648462167996702 T^{19} + 17221983259008347 T^{20} - 52312768388983614 T^{21} + 137150558055865526 T^{22} - 244010195314116580 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 14 T + 263 T^{2} - 2504 T^{3} + 29073 T^{4} - 223736 T^{5} + 2057591 T^{6} - 13777228 T^{7} + 109005347 T^{8} - 654890530 T^{9} + 4613166005 T^{10} - 25182646956 T^{11} + 160523919836 T^{12} - 800258776688 T^{13} + 4655193675244 T^{14} - 21178606089996 T^{15} + 112510505695945 T^{16} - 463191628948930 T^{17} + 2235824914113703 T^{18} - 8195016513134188 T^{19} + 35493190244511619 T^{20} - 111923131450242296 T^{21} + 421766254956439437 T^{22} - 1053450912183703304 T^{23} + 3208734068380633027 T^{24} - 4953406964876566574 T^{25} + 10260628712958602189 T^{26} \))
$31$ (\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 9 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 4 T + 49 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 2 T + 51 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 - 2 T + 55 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 46 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 12 T + 78 T^{2} + 372 T^{3} + 961 T^{4} \))(\( 1 - 5 T + 57 T^{2} - 166 T^{3} + 1767 T^{4} - 4805 T^{5} + 29791 T^{6} \))(\( 1 - 4 T + 74 T^{2} - 248 T^{3} + 3283 T^{4} - 7688 T^{5} + 71114 T^{6} - 119164 T^{7} + 923521 T^{8} \))(\( 1 + 7 T + 94 T^{2} + 505 T^{3} + 4441 T^{4} + 17920 T^{5} + 137671 T^{6} + 485305 T^{7} + 2800354 T^{8} + 6464647 T^{9} + 28629151 T^{10} \))(\( 1 + 11 T + 223 T^{2} + 1996 T^{3} + 22686 T^{4} + 165386 T^{5} + 1356577 T^{6} + 8071481 T^{7} + 51961410 T^{8} + 250215911 T^{9} + 1303670497 T^{10} + 4927014326 T^{11} + 20950997406 T^{12} + 57143785396 T^{13} + 197913320863 T^{14} + 302638755221 T^{15} + 852891037441 T^{16} \))(\( 1 + 4 T + 126 T^{2} + 664 T^{3} + 7913 T^{4} + 45344 T^{5} + 362478 T^{6} + 1865612 T^{7} + 12926164 T^{8} + 57833972 T^{9} + 348341358 T^{10} + 1350843104 T^{11} + 7307821673 T^{12} + 19009756264 T^{13} + 111825463806 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} \))(\( 1 - 6 T + 169 T^{2} - 842 T^{3} + 13550 T^{4} - 58090 T^{5} + 695239 T^{6} - 2593702 T^{7} + 25290434 T^{8} - 80404762 T^{9} + 668124679 T^{10} - 1730559190 T^{11} + 12513709550 T^{12} - 24105745142 T^{13} + 149988122089 T^{14} - 165075684666 T^{15} + 852891037441 T^{16} \))(\( 1 - 16 T + 268 T^{2} - 2852 T^{3} + 28846 T^{4} - 235464 T^{5} + 1821050 T^{6} - 12362000 T^{7} + 80409761 T^{8} - 479580508 T^{9} + 2766384724 T^{10} - 14866995748 T^{11} + 77273780321 T^{12} - 368276342000 T^{13} + 1681777917050 T^{14} - 6741134411064 T^{15} + 25600931182126 T^{16} - 78465975444572 T^{17} + 228574798034188 T^{18} - 423033954570736 T^{19} + 819628286980801 T^{20} \))(\( 1 - 6 T + 195 T^{2} - 946 T^{3} + 16765 T^{4} - 66768 T^{5} + 868580 T^{6} - 2906624 T^{7} + 32424322 T^{8} - 96817692 T^{9} + 1036858162 T^{10} - 3001348452 T^{11} + 31159773442 T^{12} - 86591235584 T^{13} + 802151870180 T^{14} - 1911511153968 T^{15} + 14878999211965 T^{16} - 26026932949006 T^{17} + 166313752300995 T^{18} - 158637732964026 T^{19} + 819628286980801 T^{20} \))(\( 1 - 13 T + 316 T^{2} - 3389 T^{3} + 45996 T^{4} - 414137 T^{5} + 4077083 T^{6} - 31182876 T^{7} + 244722226 T^{8} - 1600202938 T^{9} + 10449201896 T^{10} - 58438954190 T^{11} + 323925258776 T^{12} - 1537795023418 T^{13} + 7290519834766 T^{14} - 28798040826396 T^{15} + 116723424846533 T^{16} - 367548111938297 T^{17} + 1265470198649556 T^{18} - 2890447725887549 T^{19} + 8354920602772036 T^{20} - 10655167730750413 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 13 T + 264 T^{2} - 2441 T^{3} + 27536 T^{4} - 190225 T^{5} + 1502395 T^{6} - 7796060 T^{7} + 47286066 T^{8} - 184780514 T^{9} + 1041598944 T^{10} - 4042062518 T^{11} + 32289567264 T^{12} - 177574073954 T^{13} + 1408699192206 T^{14} - 7199825127260 T^{15} + 43012293316645 T^{16} - 168825387718225 T^{17} + 757587342160496 T^{18} - 2081907022393481 T^{19} + 6980060250417144 T^{20} - 10655167730750413 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 12 T + 164 T^{2} - 1556 T^{3} + 15616 T^{4} - 124012 T^{5} + 1013895 T^{6} - 7040784 T^{7} + 49839566 T^{8} - 309293704 T^{9} + 1931687428 T^{10} - 10680001976 T^{11} + 59882310268 T^{12} - 297231249544 T^{13} + 1484770510706 T^{14} - 6502311880464 T^{15} + 29026953053145 T^{16} - 110061106488172 T^{17} + 429636981957376 T^{18} - 1327098454258196 T^{19} + 4336098034350044 T^{20} - 9835539443769612 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 5 T + 163 T^{2} - 392 T^{3} + 12720 T^{4} - 10628 T^{5} + 718551 T^{6} + 168341 T^{7} + 33010935 T^{8} + 27583730 T^{9} + 1295215302 T^{10} + 1327436284 T^{11} + 43461407152 T^{12} + 41150524804 T^{13} + 1244701905222 T^{14} + 821746900430 T^{15} + 30486291702135 T^{16} + 4819459908491 T^{17} + 637716657486231 T^{18} - 292404062771708 T^{19} + 10848773996249520 T^{20} - 10364331886983032 T^{21} + 133599410777870563 T^{22} - 127042384482024155 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 20 T + 345 T^{2} - 4284 T^{3} + 49213 T^{4} - 475096 T^{5} + 4320803 T^{6} - 35098012 T^{7} + 271794529 T^{8} - 1926651660 T^{9} + 13114415697 T^{10} - 82829278120 T^{11} + 503646686670 T^{12} - 2855576892432 T^{13} + 15613047286770 T^{14} - 79598936273320 T^{15} + 390691558029327 T^{16} - 1779303267694860 T^{17} + 7781246611714879 T^{18} - 31149614845782172 T^{19} + 118876585588651133 T^{20} - 405205120324069336 T^{21} + 1301173125393101923 T^{22} - 3511287581425751484 T^{23} + 8765924529259666695 T^{24} - 15753255675770995220 T^{25} + 24417546297445042591 T^{26} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + T + 70 T^{2} + 37 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 66 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 47 T^{2} + 1369 T^{4} \))(\( 1 + 10 T + 86 T^{2} + 370 T^{3} + 1369 T^{4} \))(\( 1 + 10 T + 81 T^{2} + 370 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 70 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( 1 + 7 T + 79 T^{2} + 534 T^{3} + 2923 T^{4} + 9583 T^{5} + 50653 T^{6} \))(\( 1 + 13 T + 141 T^{2} + 1130 T^{3} + 8004 T^{4} + 41810 T^{5} + 193029 T^{6} + 658489 T^{7} + 1874161 T^{8} \))(\( 1 + T + 122 T^{2} + 265 T^{3} + 6955 T^{4} + 16436 T^{5} + 257335 T^{6} + 362785 T^{7} + 6179666 T^{8} + 1874161 T^{9} + 69343957 T^{10} \))(\( 1 + 17 T + 307 T^{2} + 3294 T^{3} + 36336 T^{4} + 298428 T^{5} + 2493261 T^{6} + 16600665 T^{7} + 112085390 T^{8} + 614224605 T^{9} + 3413274309 T^{10} + 15116273484 T^{11} + 68099514096 T^{12} + 228418994358 T^{13} + 787678007563 T^{14} + 1613841911261 T^{15} + 3512479453921 T^{16} \))(\( 1 + T + 139 T^{2} + 140 T^{3} + 9634 T^{4} + 4718 T^{5} + 479117 T^{6} - 45215 T^{7} + 19426362 T^{8} - 1672955 T^{9} + 655911173 T^{10} + 238980854 T^{11} + 18055667074 T^{12} + 9708153980 T^{13} + 356635970851 T^{14} + 94931877133 T^{15} + 3512479453921 T^{16} \))(\( 1 - 16 T + 321 T^{2} - 3518 T^{3} + 41066 T^{4} - 344554 T^{5} + 2954111 T^{6} - 19874912 T^{7} + 134955402 T^{8} - 735371744 T^{9} + 4044177959 T^{10} - 17452693762 T^{11} + 76964295626 T^{12} - 243952040726 T^{13} + 823598177289 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} \))(\( 1 - 19 T + 331 T^{2} - 3864 T^{3} + 42257 T^{4} - 382535 T^{5} + 3315536 T^{6} - 25355009 T^{7} + 186527846 T^{8} - 1237987393 T^{9} + 7903177706 T^{10} - 45805533541 T^{11} + 255356621174 T^{12} - 1284307270877 T^{13} + 6213848265296 T^{14} - 26526490590995 T^{15} + 108419900865113 T^{16} - 366816773241912 T^{17} + 1162630699247851 T^{18} - 2469273056106463 T^{19} + 4808584372417849 T^{20} \))(\( 1 - 10 T + 219 T^{2} - 2156 T^{3} + 25425 T^{4} - 222666 T^{5} + 1980084 T^{6} - 15028254 T^{7} + 111064470 T^{8} - 739726538 T^{9} + 4690259362 T^{10} - 27369881906 T^{11} + 152047259430 T^{12} - 761226149862 T^{13} + 3710996209524 T^{14} - 15440541529362 T^{15} + 65233593948825 T^{16} - 204673127098748 T^{17} + 769233000408699 T^{18} - 1299617397950770 T^{19} + 4808584372417849 T^{20} \))(\( 1 - T + 186 T^{2} + 69 T^{3} + 18790 T^{4} + 19123 T^{5} + 1371913 T^{6} + 1719148 T^{7} + 77809346 T^{8} + 102179878 T^{9} + 3522899448 T^{10} + 4450627678 T^{11} + 130347279576 T^{12} + 139884252982 T^{13} + 3941276802938 T^{14} + 3221960134828 T^{15} + 95133876079741 T^{16} + 49064386119307 T^{17} + 1783769971329070 T^{18} + 242361082320549 T^{19} + 24172883601884322 T^{20} - 4808584372417849 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 16 T + 338 T^{2} - 3514 T^{3} + 45034 T^{4} - 369860 T^{5} + 3753529 T^{6} - 26595504 T^{7} + 230220218 T^{8} - 1433988076 T^{9} + 10828945284 T^{10} - 59783225516 T^{11} + 400670975508 T^{12} - 1963129676044 T^{13} + 11661344702354 T^{14} - 49844256372144 T^{15} + 260284553574253 T^{16} - 948959569632740 T^{17} + 4275162154807522 T^{18} - 12342852801078394 T^{19} + 43927068050736026 T^{20} - 76937349958685584 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 19 T + 299 T^{2} - 3026 T^{3} + 29855 T^{4} - 232367 T^{5} + 1893333 T^{6} - 13007240 T^{7} + 97247462 T^{8} - 622220358 T^{9} + 4293909026 T^{10} - 25192306700 T^{11} + 158874633962 T^{12} - 851819670102 T^{13} + 4925875692686 T^{14} - 24377661925640 T^{15} + 131291202138681 T^{16} - 596190148480103 T^{17} + 2834191191805715 T^{18} - 10628762827564946 T^{19} + 38858560198728023 T^{20} - 91363103075939131 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 19 T + 399 T^{2} - 4942 T^{3} + 62514 T^{4} - 594934 T^{5} + 5734375 T^{6} - 45439323 T^{7} + 366555127 T^{8} - 2539700942 T^{9} + 18066209682 T^{10} - 112976519612 T^{11} + 730091241356 T^{12} - 4180131225644 T^{13} + 24732641054658 T^{14} - 128643471815126 T^{15} + 686983323373447 T^{16} - 3150942460221111 T^{17} + 14712837376609375 T^{18} - 56478201390244222 T^{19} + 219579140582417394 T^{20} - 642270918067270534 T^{21} + 1918625164594721751 T^{22} - 3380434813809747847 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 17 T + 338 T^{2} - 4461 T^{3} + 53723 T^{4} - 563092 T^{5} + 5297663 T^{6} - 45734857 T^{7} + 365946568 T^{8} - 2720371175 T^{9} + 19249323905 T^{10} - 128806105154 T^{11} + 828541603074 T^{12} - 5137279773064 T^{13} + 30656039313738 T^{14} - 176335557955826 T^{15} + 975036003759965 T^{16} - 5098413561709175 T^{17} + 25376183075689576 T^{18} - 117343130416738513 T^{19} + 502917093008040179 T^{20} - 1977849080667283732 T^{21} + 6981934547010921671 T^{22} - 21451094885356024389 T^{23} + 60136156161457619594 T^{24} - \)\(11\!\cdots\!77\)\( T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))
$41$ (\( 1 + 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 5 T + 84 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - 6 T + 74 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 - 6 T + 64 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( 1 + 4 T + 68 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( 1 - 2 T + 62 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 102 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 - 6 T + 103 T^{2} - 396 T^{3} + 4223 T^{4} - 10086 T^{5} + 68921 T^{6} \))(\( 1 + T + 154 T^{2} + 113 T^{3} + 9280 T^{4} + 4633 T^{5} + 258874 T^{6} + 68921 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 103 T^{2} - 54 T^{3} + 4160 T^{4} - 10616 T^{5} + 170560 T^{6} - 90774 T^{7} + 7098863 T^{8} + 5651522 T^{9} + 115856201 T^{10} \))(\( 1 - 12 T + 244 T^{2} - 2378 T^{3} + 28932 T^{4} - 230138 T^{5} + 2108972 T^{6} - 14013792 T^{7} + 103822454 T^{8} - 574565472 T^{9} + 3545181932 T^{10} - 15861341098 T^{11} + 81754917252 T^{12} - 275506045978 T^{13} + 1159025434804 T^{14} - 2337051286572 T^{15} + 7984925229121 T^{16} \))(\( 1 - 3 T + 148 T^{2} - 337 T^{3} + 9722 T^{4} - 15415 T^{5} + 424996 T^{6} - 469701 T^{7} + 16951770 T^{8} - 19257741 T^{9} + 714418276 T^{10} - 1062417215 T^{11} + 27472048442 T^{12} - 39043539737 T^{13} + 703015427668 T^{14} - 584262821643 T^{15} + 7984925229121 T^{16} \))(\( 1 + 4 T + 184 T^{2} + 944 T^{3} + 17684 T^{4} + 98904 T^{5} + 1151320 T^{6} + 6165204 T^{7} + 54805686 T^{8} + 252773364 T^{9} + 1935368920 T^{10} + 6816562584 T^{11} + 49970757524 T^{12} + 109368253744 T^{13} + 874019180344 T^{14} + 779017095524 T^{15} + 7984925229121 T^{16} \))(\( 1 - 9 T + 202 T^{2} - 1763 T^{3} + 22787 T^{4} - 183686 T^{5} + 1804740 T^{6} - 12945466 T^{7} + 107949340 T^{8} - 683450588 T^{9} + 5008974308 T^{10} - 28021474108 T^{11} + 181462840540 T^{12} - 892214462186 T^{13} + 5099763907140 T^{14} - 21281162136886 T^{15} + 108240625339667 T^{16} - 343351784852203 T^{17} + 1612954896282442 T^{18} - 2946437409545649 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 26 T + 568 T^{2} - 8126 T^{3} + 102901 T^{4} - 1031276 T^{5} + 9512368 T^{6} - 74663940 T^{7} + 561940858 T^{8} - 3778852616 T^{9} + 25305902704 T^{10} - 154932957256 T^{11} + 944622582298 T^{12} - 5145913408740 T^{13} + 26879678512048 T^{14} - 119479719542476 T^{15} + 488790476503141 T^{16} - 1582573229557006 T^{17} + 4535437530140728 T^{18} - 8511930294242986 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 12 T + 281 T^{2} - 2910 T^{3} + 39921 T^{4} - 367844 T^{5} + 3783993 T^{6} - 31007864 T^{7} + 261909310 T^{8} - 1908124592 T^{9} + 13837625822 T^{10} - 89265217428 T^{11} + 567342658702 T^{12} - 3207557439152 T^{13} + 18051051554510 T^{14} - 87620812784504 T^{15} + 438399053590593 T^{16} - 1747297344426404 T^{17} + 7774785367603401 T^{18} - 23236132416742110 T^{19} + 91994323564703041 T^{20} - 161071911721828812 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 7 T + 309 T^{2} + 2376 T^{3} + 46989 T^{4} + 374155 T^{5} + 4645545 T^{6} + 36302512 T^{7} + 330733326 T^{8} + 2418296894 T^{9} + 17718789190 T^{10} + 116019632848 T^{11} + 726470356790 T^{12} + 4065157078814 T^{13} + 22794471561246 T^{14} + 102582222611632 T^{15} + 538215195274545 T^{16} + 1777275252291355 T^{17} + 9151308575394309 T^{18} + 18972182344391496 T^{19} + 101161017727733949 T^{20} + 93958615171066807 T^{21} + 550329031716248441 T^{22} \))(\( 1 - 9 T + 263 T^{2} - 1710 T^{3} + 29847 T^{4} - 133349 T^{5} + 1922353 T^{6} - 4465016 T^{7} + 77896422 T^{8} + 25594334 T^{9} + 2429925018 T^{10} + 6297341132 T^{11} + 99626925738 T^{12} + 43024075454 T^{13} + 5368699300662 T^{14} - 12617068077176 T^{15} + 222716515560953 T^{16} - 633421650433109 T^{17} + 5812830812526207 T^{18} - 13654222141796910 T^{19} + 86101448745611743 T^{20} - 120803933791371609 T^{21} + 550329031716248441 T^{22} \))(\( 1 - 16 T + 228 T^{2} - 2402 T^{3} + 27018 T^{4} - 249114 T^{5} + 2281756 T^{6} - 18226192 T^{7} + 147465407 T^{8} - 1080823472 T^{9} + 7939156288 T^{10} - 52693816004 T^{11} + 351179300780 T^{12} - 2160446456164 T^{13} + 13345721720128 T^{14} - 74491434513712 T^{15} + 416701995949727 T^{16} - 2111617363816592 T^{17} + 10838578852527196 T^{18} - 48516016183591434 T^{19} + 215736709840391178 T^{20} - 786371406414294322 T^{21} + 3060366322714747428 T^{22} - 8805264507459975056 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 9 T + 319 T^{2} - 2412 T^{3} + 50174 T^{4} - 334930 T^{5} + 5251398 T^{6} - 31645460 T^{7} + 409958581 T^{8} - 2254156951 T^{9} + 25246017899 T^{10} - 126927673728 T^{11} + 1261064550492 T^{12} - 5772191105500 T^{13} + 51703646570172 T^{14} - 213365419536768 T^{15} + 1739980799616979 T^{16} - 6369708800014711 T^{17} + 47496243762010781 T^{18} - 150319233754395860 T^{19} + 1022732204350135638 T^{20} - 2674391006989496530 T^{21} + 16426061176282599214 T^{22} - 32375454256087591212 T^{23} + \)\(17\!\cdots\!79\)\( T^{24} - \)\(20\!\cdots\!29\)\( T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))
$43$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{10} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{13} \))
$47$ (\( 1 - 2 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( 1 - 4 T + 50 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + T + 13 T^{2} + 47 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 66 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 13 T + 135 T^{2} + 611 T^{3} + 2209 T^{4} \))(\( 1 + 3 T + 91 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 95 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + T + 118 T^{2} + 124 T^{3} + 5546 T^{4} + 2209 T^{5} + 103823 T^{6} \))(\( ( 1 + 2 T + 47 T^{2} )^{4} \))(\( 1 - 7 T + 162 T^{2} - 794 T^{3} + 11193 T^{4} - 43862 T^{5} + 526071 T^{6} - 1753946 T^{7} + 16819326 T^{8} - 34157767 T^{9} + 229345007 T^{10} \))(\( 1 + 19 T + 237 T^{2} + 1565 T^{3} + 9168 T^{4} + 27117 T^{5} + 86891 T^{6} - 1482653 T^{7} - 10377266 T^{8} - 69684691 T^{9} + 191942219 T^{10} + 2815368291 T^{11} + 44736915408 T^{12} + 358924935955 T^{13} + 2554674032973 T^{14} + 9625839288797 T^{15} + 23811286661761 T^{16} \))(\( 1 - 11 T + 101 T^{2} - 685 T^{3} + 8456 T^{4} - 61141 T^{5} + 497091 T^{6} - 3304691 T^{7} + 28741758 T^{8} - 155320477 T^{9} + 1098074019 T^{10} - 6347842043 T^{11} + 41262582536 T^{12} - 157101329795 T^{13} + 1088700748229 T^{14} - 5572854325093 T^{15} + 23811286661761 T^{16} \))(\( 1 + 11 T + 290 T^{2} + 2678 T^{3} + 40016 T^{4} + 308551 T^{5} + 3390883 T^{6} + 21891232 T^{7} + 192450008 T^{8} + 1028887904 T^{9} + 7490460547 T^{10} + 32034690473 T^{11} + 195265314896 T^{12} + 614185928746 T^{13} + 3125972445410 T^{14} + 5572854325093 T^{15} + 23811286661761 T^{16} \))(\( 1 - 29 T + 630 T^{2} - 10178 T^{3} + 139651 T^{4} - 1634472 T^{5} + 17082417 T^{6} - 159419870 T^{7} + 1358654480 T^{8} - 10549289179 T^{9} + 75551985562 T^{10} - 495816591413 T^{11} + 3001267746320 T^{12} - 16551449163010 T^{13} + 83356745668977 T^{14} - 374857992281304 T^{15} + 1505328199910179 T^{16} - 5156410120072414 T^{17} + 15001110596909430 T^{18} - 32454783719980243 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 3 T + 216 T^{2} - 462 T^{3} + 21393 T^{4} + 2986 T^{5} + 1198157 T^{6} + 5291774 T^{7} + 39956426 T^{8} + 513458025 T^{9} + 1253746126 T^{10} + 24132527175 T^{11} + 88263745034 T^{12} + 549407852002 T^{13} + 5846623947917 T^{14} + 684824190902 T^{15} + 230599753533297 T^{16} - 234059881653906 T^{17} + 5143237918940376 T^{18} - 3357391419308301 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 5 T + 211 T^{2} + 1191 T^{3} + 26133 T^{4} + 146594 T^{5} + 2359788 T^{6} + 12684950 T^{7} + 166644597 T^{8} + 834900889 T^{9} + 9555736092 T^{10} + 43627217926 T^{11} + 449119596324 T^{12} + 1844296063801 T^{13} + 17301541994331 T^{14} + 61898509500950 T^{15} + 541205595378516 T^{16} + 1580168291939426 T^{17} + 13239582007059579 T^{18} + 28359242414157351 T^{19} + 236136529824683837 T^{20} + 262995661179150245 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + 19 T + 423 T^{2} + 5489 T^{3} + 73837 T^{4} + 757556 T^{5} + 7815370 T^{6} + 67464440 T^{7} + 584459767 T^{8} + 4416733473 T^{9} + 33814421540 T^{10} + 229747081854 T^{11} + 1589277812380 T^{12} + 9756564241857 T^{13} + 60680366389241 T^{14} + 329204946043640 T^{15} + 1792416087357590 T^{16} + 8165859247775924 T^{17} + 37407531345626531 T^{18} + 130700152486406129 T^{19} + 473392190122470441 T^{20} + 999383512480770931 T^{21} + 2472159215084012303 T^{22} \))(\( 1 - 15 T + 255 T^{2} - 2455 T^{3} + 27185 T^{4} - 217894 T^{5} + 1846022 T^{6} - 13249734 T^{7} + 98662127 T^{8} - 718191795 T^{9} + 4886685036 T^{10} - 34934321878 T^{11} + 229674196692 T^{12} - 1586485675155 T^{13} + 10243398011521 T^{14} - 64654475254854 T^{15} + 423375928512154 T^{16} - 2348726344897126 T^{17} + 13772549529786655 T^{18} - 58456708754623255 T^{19} + 285378270641205585 T^{20} - 788986983537450735 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + T + 114 T^{2} + 244 T^{3} + 9344 T^{4} + 23575 T^{5} + 655493 T^{6} + 1110728 T^{7} + 35897107 T^{8} + 52669935 T^{9} + 1857302769 T^{10} + 1354844891 T^{11} + 90478438248 T^{12} + 63677709877 T^{13} + 4102781816721 T^{14} + 5468350661505 T^{15} + 175166430982867 T^{16} + 254739920935096 T^{17} + 7065700193652197 T^{18} + 11943640064915225 T^{19} + 222492662567494784 T^{20} + 273067835437075148 T^{21} + 5996301074884625586 T^{22} + 2472159215084012303 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T + 209 T^{2} + 1615 T^{3} + 22878 T^{4} + 139949 T^{5} + 1554899 T^{6} + 6643799 T^{7} + 65457736 T^{8} + 83709231 T^{9} + 1300502392 T^{10} - 11429352470 T^{11} - 17174985611 T^{12} - 887798750826 T^{13} - 807224323717 T^{14} - 25247439606230 T^{15} + 135022059844616 T^{16} + 408474344035311 T^{17} + 15012404921124152 T^{18} + 71614940023594871 T^{19} + 787747783384798237 T^{20} + 3332365757026790189 T^{21} + 25603466963645103426 T^{22} + 84947598560865529135 T^{23} + \)\(51\!\cdots\!27\)\( T^{24} + \)\(10\!\cdots\!69\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))
$53$ (\( 1 - 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 3 T + 104 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + 3 T + 104 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 67 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 3 T + 79 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 147 T^{2} + 742 T^{3} + 2809 T^{4} \))(\( 1 + 3 T + 77 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + T + 59 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 + 15 T + 151 T^{2} + 795 T^{3} + 2809 T^{4} \))(\( 1 + 25 T^{2} - 597 T^{3} + 1325 T^{4} + 148877 T^{6} \))(\( 1 + 5 T + 117 T^{2} + 658 T^{3} + 8538 T^{4} + 34874 T^{5} + 328653 T^{6} + 744385 T^{7} + 7890481 T^{8} \))(\( 1 + 6 T + 172 T^{2} + 1329 T^{3} + 13599 T^{4} + 106883 T^{5} + 720747 T^{6} + 3733161 T^{7} + 25606844 T^{8} + 47342886 T^{9} + 418195493 T^{10} \))(\( 1 + 7 T + 303 T^{2} + 1683 T^{3} + 42385 T^{4} + 194180 T^{5} + 3728662 T^{6} + 14456650 T^{7} + 231474938 T^{8} + 766202450 T^{9} + 10473811558 T^{10} + 28908935860 T^{11} + 334438037185 T^{12} + 703823014719 T^{13} + 6715801422087 T^{14} + 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 - 24 T + 475 T^{2} - 6037 T^{3} + 66800 T^{4} - 566752 T^{5} + 4510915 T^{6} - 30695235 T^{7} + 229001586 T^{8} - 1626847455 T^{9} + 12671160235 T^{10} - 84376337504 T^{11} + 527084130800 T^{12} - 2524646191241 T^{13} + 10528071536275 T^{14} - 28193067356088 T^{15} + 62259690411361 T^{16} \))(\( 1 + 15 T + 359 T^{2} + 4191 T^{3} + 58688 T^{4} + 550765 T^{5} + 5725974 T^{6} + 44240966 T^{7} + 368327611 T^{8} + 2344771198 T^{9} + 16084260966 T^{10} + 81996240905 T^{11} + 463076548928 T^{12} + 1752657311163 T^{13} + 7957005645311 T^{14} + 17620667097555 T^{15} + 62259690411361 T^{16} \))(\( 1 - 6 T + 228 T^{2} - 823 T^{3} + 26913 T^{4} - 84095 T^{5} + 2484181 T^{6} - 7507459 T^{7} + 178011076 T^{8} - 475542760 T^{9} + 10211795688 T^{10} - 25203766280 T^{11} + 500033112484 T^{12} - 1117687973543 T^{13} + 19601382981061 T^{14} - 35168149983835 T^{15} + 596509451064777 T^{16} - 966787268085851 T^{17} + 14195209413790308 T^{18} - 19798581550812798 T^{19} + 174887470365513049 T^{20} \))(\( 1 + 9 T + 335 T^{2} + 3167 T^{3} + 57403 T^{4} + 528218 T^{5} + 6462509 T^{6} + 55521489 T^{7} + 524250913 T^{8} + 4064474229 T^{9} + 31902942054 T^{10} + 215417134137 T^{11} + 1472620814617 T^{12} + 8265872717853 T^{13} + 50992304476829 T^{14} + 220898386921474 T^{15} + 1272300821887987 T^{16} + 3720310179863779 T^{17} + 20856996287805935 T^{18} + 29697872326219197 T^{19} + 174887470365513049 T^{20} \))(\( 1 + 27 T + 683 T^{2} + 11403 T^{3} + 176440 T^{4} + 2209291 T^{5} + 26016523 T^{6} + 265446321 T^{7} + 2573710310 T^{8} + 22256645035 T^{9} + 183789838266 T^{10} + 1368384439916 T^{11} + 9740861428098 T^{12} + 62518915903315 T^{13} + 383166269821870 T^{14} + 2094499152370401 T^{15} + 10879992662130839 T^{16} + 48967523563049539 T^{17} + 207266033512840280 T^{18} + 709947249760749483 T^{19} + 2253738533200856839 T^{20} + 4721961699868852323 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 16 T + 463 T^{2} + 6243 T^{3} + 105335 T^{4} + 1191436 T^{5} + 15023266 T^{6} + 144718404 T^{7} + 1483513159 T^{8} + 12287900597 T^{9} + 106265241534 T^{10} + 759225636476 T^{11} + 5632057801302 T^{12} + 34516712776973 T^{13} + 220860988572443 T^{14} + 1141897817112324 T^{15} + 6282662131340138 T^{16} + 26407417766091244 T^{17} + 123738197914730395 T^{18} + 388687247238126723 T^{19} + 1527790543004387579 T^{20} + 2798199525848208784 T^{21} + 9269035929372191597 T^{22} \))(\( 1 - 35 T + 810 T^{2} - 14004 T^{3} + 207380 T^{4} - 2657861 T^{5} + 30622062 T^{6} - 317995297 T^{7} + 3039322164 T^{8} - 26684452634 T^{9} + 217536830827 T^{10} - 1640482517442 T^{11} + 11529452033831 T^{12} - 74956627448906 T^{13} + 452485165809828 T^{14} - 2509135849067857 T^{15} + 12806008314766566 T^{16} - 58909791034685069 T^{17} + 243611596179397060 T^{18} - 871884704520699444 T^{19} + 2672808509359727730 T^{20} - 6121061462792956715 T^{21} + 9269035929372191597 T^{22} \))(\( 1 - 11 T + 272 T^{2} - 2622 T^{3} + 43585 T^{4} - 377096 T^{5} + 4842391 T^{6} - 38473126 T^{7} + 419861413 T^{8} - 3062483462 T^{9} + 29332185698 T^{10} - 197228803387 T^{11} + 1705164067976 T^{12} - 10453126579511 T^{13} + 82394109625682 T^{14} - 455933350372174 T^{15} + 3312908501909653 T^{16} - 16089287894821118 T^{17} + 107328502851819439 T^{18} - 442978871987973352 T^{19} + 2713588606579169185 T^{20} - 8651980137705192726 T^{21} + 47569391939419549328 T^{22} - \)\(10\!\cdots\!67\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 22 T + 581 T^{2} - 8749 T^{3} + 139630 T^{4} - 1655570 T^{5} + 20285399 T^{6} - 203571811 T^{7} + 2098784666 T^{8} - 18574923189 T^{9} + 168407676946 T^{10} - 1341109666016 T^{11} + 10908213683249 T^{12} - 78633585686470 T^{13} + 578135325212197 T^{14} - 3767177051838944 T^{15} + 25072029720689642 T^{16} - 146565078499263909 T^{17} + 877702288098710338 T^{18} - 4512039134688534619 T^{19} + 23829484181338339963 T^{20} - \)\(10\!\cdots\!70\)\( T^{21} + \)\(46\!\cdots\!90\)\( T^{22} - \)\(15\!\cdots\!01\)\( T^{23} + \)\(53\!\cdots\!57\)\( T^{24} - \)\(10\!\cdots\!02\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))
$59$ (\( 1 + 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 10 T + 126 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 54 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 18 T + 172 T^{2} + 1062 T^{3} + 3481 T^{4} \))(\( 1 + 3 T + 91 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 4 T - 40 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 13 T + 159 T^{2} - 767 T^{3} + 3481 T^{4} \))(\( 1 + 13 T + 113 T^{2} + 767 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 137 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 13 T + 212 T^{2} + 1510 T^{3} + 12508 T^{4} + 45253 T^{5} + 205379 T^{6} \))(\( 1 - 10 T + 160 T^{2} - 1184 T^{3} + 12430 T^{4} - 69856 T^{5} + 556960 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 + 5 T + 196 T^{2} + 1086 T^{3} + 19587 T^{4} + 89952 T^{5} + 1155633 T^{6} + 3780366 T^{7} + 40254284 T^{8} + 60586805 T^{9} + 714924299 T^{10} \))(\( 1 - T + 297 T^{2} - 83 T^{3} + 41548 T^{4} + 8647 T^{5} + 3752399 T^{6} + 1642201 T^{7} + 251231334 T^{8} + 96889859 T^{9} + 13062100919 T^{10} + 1775912213 T^{11} + 503452114828 T^{12} - 59338716817 T^{13} + 12527618491377 T^{14} - 2488651484819 T^{15} + 146830437604321 T^{16} \))(\( 1 + 5 T + 205 T^{2} + 589 T^{3} + 20722 T^{4} + 24515 T^{5} + 1481691 T^{6} + 215923 T^{7} + 90351130 T^{8} + 12739457 T^{9} + 5157766371 T^{10} + 5034866185 T^{11} + 251095954642 T^{12} + 421090412111 T^{13} + 8647009396405 T^{14} + 12443257424095 T^{15} + 146830437604321 T^{16} \))(\( 1 + 7 T + 310 T^{2} + 1870 T^{3} + 48406 T^{4} + 256023 T^{5} + 4863943 T^{6} + 22258856 T^{7} + 340193048 T^{8} + 1313272504 T^{9} + 16931385583 T^{10} + 52581747717 T^{11} + 586552976566 T^{12} + 1336908439130 T^{13} + 13075965428710 T^{14} + 17420560393733 T^{15} + 146830437604321 T^{16} \))(\( 1 - 29 T + 672 T^{2} - 11632 T^{3} + 174877 T^{4} - 2245112 T^{5} + 26055127 T^{6} - 270374524 T^{7} + 2575298424 T^{8} - 22349080157 T^{9} + 179470459326 T^{10} - 1318595729263 T^{11} + 8964613813944 T^{12} - 55529249364596 T^{13} + 315719379759847 T^{14} - 1605085122776488 T^{15} + 7376405181537157 T^{16} - 28947994071414608 T^{17} + 98670054070103712 T^{18} - 251226878740993231 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 9 T + 352 T^{2} + 3036 T^{3} + 65353 T^{4} + 514134 T^{5} + 8047243 T^{6} + 57124084 T^{7} + 718893956 T^{8} + 4545182105 T^{9} + 48543806878 T^{10} + 268165744195 T^{11} + 2502469860836 T^{12} + 11732087247836 T^{13} + 97511348485723 T^{14} + 367566889542066 T^{15} + 2756624415040273 T^{16} + 7555545907910484 T^{17} + 51684314036720992 T^{18} + 77966962367894451 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 11 T + 467 T^{2} - 3647 T^{3} + 89683 T^{4} - 438686 T^{5} + 9084162 T^{6} - 13845946 T^{7} + 519801447 T^{8} + 1822460995 T^{9} + 19762126954 T^{10} + 203907662094 T^{11} + 1165965490286 T^{12} + 6343986723595 T^{13} + 106756301383413 T^{14} - 167776326068506 T^{15} + 6494488149852438 T^{16} - 18504009580835726 T^{17} + 223189731113022377 T^{18} - 535490605942958687 T^{19} + 4045619047311856513 T^{20} - 5622284286307055411 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 7 T + 479 T^{2} - 3255 T^{3} + 111301 T^{4} - 717680 T^{5} + 16538150 T^{6} - 98797812 T^{7} + 1740979141 T^{8} - 9410347601 T^{9} + 135942920834 T^{10} - 648504926554 T^{11} + 8020632329206 T^{12} - 32757419999081 T^{13} + 357560554999439 T^{14} - 1197168754014132 T^{15} + 11823525295506850 T^{16} - 30272125383472880 T^{17} + 276989398911839519 T^{18} - 477933074402064855 T^{19} + 4149574997135715781 T^{20} - 3577817273104489807 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 13 T + 355 T^{2} - 3917 T^{3} + 59667 T^{4} - 587600 T^{5} + 6624242 T^{6} - 60601636 T^{7} + 563071603 T^{8} - 4858682619 T^{9} + 39304507990 T^{10} - 316414839214 T^{11} + 2318965971410 T^{12} - 16913074196739 T^{13} + 115643082752537 T^{14} - 734331900602596 T^{15} + 4735831568256358 T^{16} - 24785281567451600 T^{17} + 148490368144695273 T^{18} - 575134824096125357 T^{19} + 3075363515622503345 T^{20} - 6644517792908338213 T^{21} + 30155888444737842659 T^{22} \))(\( 1 + 11 T + 410 T^{2} + 3848 T^{3} + 80830 T^{4} + 652367 T^{5} + 10202585 T^{6} + 71195372 T^{7} + 936853399 T^{8} + 5751551047 T^{9} + 68575048349 T^{10} + 382685049041 T^{11} + 4302652813284 T^{12} + 22578417893419 T^{13} + 238709743302869 T^{14} + 1181247802481813 T^{15} + 11352190839760039 T^{16} + 50899301419144228 T^{17} + 430350479817661985 T^{18} + 1623514103196916573 T^{19} + 11868304271557266430 T^{20} + 33335207910184205272 T^{21} + \)\(20\!\cdots\!10\)\( T^{22} + \)\(33\!\cdots\!49\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 19 T + 537 T^{2} - 6619 T^{3} + 106978 T^{4} - 934941 T^{5} + 11300703 T^{6} - 70764537 T^{7} + 753279690 T^{8} - 3098541459 T^{9} + 36702064482 T^{10} - 70332779484 T^{11} + 1641598773685 T^{12} - 998829502442 T^{13} + 96854327647415 T^{14} - 244828405383804 T^{15} + 7537833301248678 T^{16} - 37546145432169699 T^{17} + 538537954324187310 T^{18} - 2984885933518289217 T^{19} + 28123511300448527757 T^{20} - \)\(13\!\cdots\!61\)\( T^{21} + \)\(92\!\cdots\!42\)\( T^{22} - \)\(33\!\cdots\!19\)\( T^{23} + \)\(16\!\cdots\!83\)\( T^{24} - \)\(33\!\cdots\!39\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))
$61$ (\( 1 - 6 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 15 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 4 T - 27 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 + 7 T + 130 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 20 T + 195 T^{2} + 1220 T^{3} + 3721 T^{4} \))(\( ( 1 - 8 T + 61 T^{2} )^{2} \))(\( 1 + 2 T + 73 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 4 T + 106 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 126 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 6 T + 126 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - T + 45 T^{2} - 702 T^{3} + 2745 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 12 T + 140 T^{2} + 1494 T^{3} + 10387 T^{4} + 91134 T^{5} + 520940 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 5 T + 252 T^{2} + 1113 T^{3} + 28415 T^{4} + 97504 T^{5} + 1733315 T^{6} + 4141473 T^{7} + 57199212 T^{8} + 69229205 T^{9} + 844596301 T^{10} \))(\( 1 - 6 T + 316 T^{2} - 758 T^{3} + 38007 T^{4} + 66450 T^{5} + 2364782 T^{6} + 16724690 T^{7} + 121413668 T^{8} + 1020206090 T^{9} + 8799353822 T^{10} + 15082887450 T^{11} + 526238878887 T^{12} - 640203996158 T^{13} + 16280438298076 T^{14} - 18856457016126 T^{15} + 191707312997281 T^{16} \))(\( 1 + 26 T + 584 T^{2} + 8504 T^{3} + 115411 T^{4} + 1238138 T^{5} + 12783286 T^{6} + 110862072 T^{7} + 937292988 T^{8} + 6762586392 T^{9} + 47566607206 T^{10} + 281033801378 T^{11} + 1597962355651 T^{12} + 7182446943704 T^{13} + 30087898626824 T^{14} + 81711313736546 T^{15} + 191707312997281 T^{16} \))(\( 1 - 2 T + 173 T^{2} - 258 T^{3} + 13146 T^{4} - 48466 T^{5} + 722187 T^{6} - 6226362 T^{7} + 40704730 T^{8} - 379808082 T^{9} + 2687257827 T^{10} - 11000861146 T^{11} + 182017425786 T^{12} - 217905845658 T^{13} + 8913024764453 T^{14} - 6285485672042 T^{15} + 191707312997281 T^{16} \))(\( 1 + 4 T + 388 T^{2} + 868 T^{3} + 70996 T^{4} + 57814 T^{5} + 8392678 T^{6} - 1183390 T^{7} + 734050851 T^{8} - 410475032 T^{9} + 50269115596 T^{10} - 25038976952 T^{11} + 2731403216571 T^{12} - 268607045590 T^{13} + 116203685152198 T^{14} + 48829490546014 T^{15} + 3657740498133556 T^{16} + 2727900781666228 T^{17} + 74382437442945028 T^{18} + 46776584371336564 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 22 T + 527 T^{2} - 7520 T^{3} + 108761 T^{4} - 1210666 T^{5} + 13519012 T^{6} - 127170094 T^{7} + 1196665118 T^{8} - 9876003226 T^{9} + 81789096666 T^{10} - 602436196786 T^{11} + 4452790904078 T^{12} - 28865195106214 T^{13} + 187182090629092 T^{14} - 1022524025346466 T^{15} + 5603407435876721 T^{16} - 23633426126877920 T^{17} + 101029753949567087 T^{18} - 257271214042351102 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 36 T + 839 T^{2} - 14612 T^{3} + 218860 T^{4} - 2882022 T^{5} + 34433520 T^{6} - 373718240 T^{7} + 3744303379 T^{8} - 34749872166 T^{9} + 301335794361 T^{10} - 2434628504696 T^{11} + 18381483456021 T^{12} - 129304274329686 T^{13} + 849885725268799 T^{14} - 5174443329839840 T^{15} + 29082423622409520 T^{16} - 148482852356637942 T^{17} + 687820697091556060 T^{18} - 2801227257516269972 T^{19} + 9811388571887844299 T^{20} - 25680344819863773636 T^{21} + 43513917611435838661 T^{22} \))(\( 1 - 20 T + 395 T^{2} - 4776 T^{3} + 64826 T^{4} - 662128 T^{5} + 7644454 T^{6} - 70062396 T^{7} + 711139605 T^{8} - 5829335244 T^{9} + 52623419919 T^{10} - 390672908408 T^{11} + 3210028615059 T^{12} - 21690956442924 T^{13} + 161415178682505 T^{14} - 970072795095036 T^{15} + 6456477571564654 T^{16} - 34113082434900208 T^{17} + 203731447087897346 T^{18} - 915594126875014056 T^{19} + 4619187706669485695 T^{20} - 14266858233257652020 T^{21} + 43513917611435838661 T^{22} \))(\( 1 - 9 T + 422 T^{2} - 3261 T^{3} + 84106 T^{4} - 585093 T^{5} + 10888153 T^{6} - 70680988 T^{7} + 1048482778 T^{8} - 6384957130 T^{9} + 79640272008 T^{10} - 443464733902 T^{11} + 4858056592488 T^{12} - 23758425480730 T^{13} + 237985669433218 T^{14} - 978637721570908 T^{15} + 9196093748522053 T^{16} - 30144210396000573 T^{17} + 264323528966382226 T^{18} - 625157547684133341 T^{19} + 4934929651176007502 T^{20} - 6420086204965943409 T^{21} + 43513917611435838661 T^{22} \))(\( 1 - 18 T + 540 T^{2} - 7190 T^{3} + 127321 T^{4} - 1364142 T^{5} + 18495558 T^{6} - 169865110 T^{7} + 1955780719 T^{8} - 16033931952 T^{9} + 163672721502 T^{10} - 1212570278980 T^{11} + 11092826478254 T^{12} - 73966787017780 T^{13} + 609026196708942 T^{14} - 3639397908396912 T^{15} + 27079428866139679 T^{16} - 143467443574958110 T^{17} + 952898072175588438 T^{18} - 4287147497815358982 T^{19} + 24408366798126814201 T^{20} - 84080910407477473790 T^{21} + \)\(38\!\cdots\!40\)\( T^{22} - \)\(78\!\cdots\!98\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 2 T + 315 T^{2} - 412 T^{3} + 55409 T^{4} - 9840 T^{5} + 6674971 T^{6} + 7460960 T^{7} + 615781307 T^{8} + 1516526530 T^{9} + 46748738921 T^{10} + 165053609212 T^{11} + 3113898277640 T^{12} + 12045027655904 T^{13} + 189947794936040 T^{14} + 614164479877852 T^{15} + 10611075509027501 T^{16} + 20997585206661730 T^{17} + 520086614117145407 T^{18} + 384391452292446560 T^{19} + 20977717290897930391 T^{20} - 1886399959893245040 T^{21} + \)\(64\!\cdots\!69\)\( T^{22} - \)\(29\!\cdots\!12\)\( T^{23} + \)\(13\!\cdots\!15\)\( T^{24} - \)\(53\!\cdots\!42\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))
$67$ (\( 1 + 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 7 T + 142 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( 1 + 8 T + 138 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( 1 - 4 T + 106 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 + 8 T + 67 T^{2} )^{2} \))(\( ( 1 + 8 T + 67 T^{2} )^{2} \))(\( 1 - 4 T - 42 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{3} \))(\( 1 + 17 T + 256 T^{2} + 2917 T^{3} + 25018 T^{4} + 195439 T^{5} + 1149184 T^{6} + 5112971 T^{7} + 20151121 T^{8} \))(\( 1 + 20 T + 315 T^{2} + 3908 T^{3} + 40022 T^{4} + 362480 T^{5} + 2681474 T^{6} + 17543012 T^{7} + 94740345 T^{8} + 403022420 T^{9} + 1350125107 T^{10} \))(\( 1 + 22 T + 446 T^{2} + 5574 T^{3} + 67696 T^{4} + 622446 T^{5} + 6081474 T^{6} + 48840078 T^{7} + 436862750 T^{8} + 3272285226 T^{9} + 27299736786 T^{10} + 187208726298 T^{11} + 1364150287216 T^{12} + 7525597346418 T^{13} + 40344438447374 T^{14} + 133335655317106 T^{15} + 406067677556641 T^{16} \))(\( 1 + 5 T + 270 T^{2} + 799 T^{3} + 35564 T^{4} + 76491 T^{5} + 3454954 T^{6} + 7141889 T^{7} + 265265334 T^{8} + 478506563 T^{9} + 15509288506 T^{10} + 23005662633 T^{11} + 716654467244 T^{12} + 1078749960493 T^{13} + 24423763185630 T^{14} + 30303558026615 T^{15} + 406067677556641 T^{16} \))(\( 1 - 4 T + 296 T^{2} - 1092 T^{3} + 39900 T^{4} - 144516 T^{5} + 3458392 T^{6} - 12643748 T^{7} + 242751078 T^{8} - 847131116 T^{9} + 15524721688 T^{10} - 43465065708 T^{11} + 804029727900 T^{12} - 1474336616844 T^{13} + 26775681122024 T^{14} - 24242846421292 T^{15} + 406067677556641 T^{16} \))(\( 1 - 45 T + 1362 T^{2} - 29555 T^{3} + 529465 T^{4} - 7948376 T^{5} + 104849664 T^{6} - 1219722800 T^{7} + 12798796014 T^{8} - 120871853754 T^{9} + 1040010415772 T^{10} - 8098414201518 T^{11} + 57453795306846 T^{12} - 366847488496400 T^{13} + 2112838266073344 T^{14} - 10731301997476232 T^{15} + 47894547315109585 T^{16} - 179124331495321265 T^{17} + 553064176832145042 T^{18} - 1224294047833272615 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 18 T + 678 T^{2} - 9582 T^{3} + 200581 T^{4} - 2318640 T^{5} + 34851944 T^{6} - 336934560 T^{7} + 3995410818 T^{8} - 32591015076 T^{9} + 318514284452 T^{10} - 2183598010092 T^{11} + 17935399162002 T^{12} - 101337449069280 T^{13} + 702305740629224 T^{14} - 3130454078094480 T^{15} + 18144232753840189 T^{16} - 58073738602204986 T^{17} + 275313885383402598 T^{18} - 489717619133309046 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 18 T + 557 T^{2} - 7280 T^{3} + 133099 T^{4} - 1446074 T^{5} + 20250607 T^{6} - 194050496 T^{7} + 2253964178 T^{8} - 19229019076 T^{9} + 192042617706 T^{10} - 1459223924640 T^{11} + 12866855386302 T^{12} - 86319066632164 T^{13} + 677909028067814 T^{14} - 3910335025006016 T^{15} + 27340852942689949 T^{16} - 130809514536654506 T^{17} + 806674653956885977 T^{18} - 2956172692612346480 T^{19} + 15154039658736285479 T^{20} - 32811080481931706082 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 - 9 T + 483 T^{2} - 3226 T^{3} + 103725 T^{4} - 518205 T^{5} + 13822551 T^{6} - 52535032 T^{7} + 1352323082 T^{8} - 4120637058 T^{9} + 107198897742 T^{10} - 286510895388 T^{11} + 7182326148714 T^{12} - 18497539753362 T^{13} + 406728747111566 T^{14} - 1058639786570872 T^{15} + 18662173147887957 T^{16} - 46875985931886645 T^{17} + 628647311262128175 T^{18} - 1309974327797723866 T^{19} + 13140756113410459401 T^{20} - 16405540240965853041 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + T + 333 T^{2} + 638 T^{3} + 59387 T^{4} + 183285 T^{5} + 7347167 T^{6} + 30560872 T^{7} + 700322818 T^{8} + 3400020626 T^{9} + 55047335898 T^{10} + 268569881332 T^{11} + 3688171505166 T^{12} + 15262692590114 T^{13} + 210631191710134 T^{14} + 615835829537512 T^{15} + 9919594632021869 T^{16} + 16579664575845165 T^{17} + 359927480105317001 T^{18} + 259071178281136958 T^{19} + 9059775953966217351 T^{20} + 1822837804551761449 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + 10 T + 318 T^{2} + 3250 T^{3} + 55350 T^{4} + 454246 T^{5} + 6110150 T^{6} + 37277342 T^{7} + 433674287 T^{8} + 1819168700 T^{9} + 22259029868 T^{10} + 46750312876 T^{11} + 1215427907796 T^{12} + 3132270962692 T^{13} + 99920785077452 T^{14} + 547138635718100 T^{15} + 8739023031925727 T^{16} + 50329075356425594 T^{17} + 552714283809915350 T^{18} + 2753054003871551458 T^{19} + 22475845952760079350 T^{20} + 88421236787958577750 T^{21} + \)\(57\!\cdots\!82\)\( T^{22} + \)\(12\!\cdots\!30\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 9 T + 441 T^{2} - 3782 T^{3} + 108252 T^{4} - 853310 T^{5} + 18230676 T^{6} - 132834654 T^{7} + 2326362913 T^{8} - 15576421799 T^{9} + 234801332769 T^{10} - 1441780778508 T^{11} + 19214354289480 T^{12} - 107290355193796 T^{13} + 1287361737395160 T^{14} - 6472153914722412 T^{15} + 70619553247602747 T^{16} - 313882360418686679 T^{17} + 3140880976834956691 T^{18} - 12016007896818884526 T^{19} + \)\(11\!\cdots\!48\)\( T^{20} - \)\(34\!\cdots\!10\)\( T^{21} + \)\(29\!\cdots\!44\)\( T^{22} - \)\(68\!\cdots\!18\)\( T^{23} + \)\(53\!\cdots\!03\)\( T^{24} - \)\(73\!\cdots\!49\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))
$71$ (\( 1 - 16 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 9 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 11 T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 21 T + 248 T^{2} - 1491 T^{3} + 5041 T^{4} \))(\( 1 - 6 T + 134 T^{2} - 426 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 151 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 15 T + 169 T^{2} + 1065 T^{3} + 5041 T^{4} \))(\( 1 + 6 T + 133 T^{2} + 426 T^{3} + 5041 T^{4} \))(\( 1 - 3 T + 113 T^{2} - 213 T^{3} + 5041 T^{4} \))(\( 1 + 27 T + 319 T^{2} + 1917 T^{3} + 5041 T^{4} \))(\( 1 + T - 9 T^{2} + 71 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 253 T^{2} + 1731 T^{3} + 17963 T^{4} + 60492 T^{5} + 357911 T^{6} \))(\( 1 - 3 T + 143 T^{2} + 200 T^{3} + 9062 T^{4} + 14200 T^{5} + 720863 T^{6} - 1073733 T^{7} + 25411681 T^{8} \))(\( 1 + 22 T + 454 T^{2} + 5925 T^{3} + 69235 T^{4} + 616967 T^{5} + 4915685 T^{6} + 29867925 T^{7} + 162491594 T^{8} + 559056982 T^{9} + 1804229351 T^{10} \))(\( 1 + 14 T + 287 T^{2} + 3393 T^{3} + 49762 T^{4} + 501326 T^{5} + 5711765 T^{6} + 49212093 T^{7} + 477242794 T^{8} + 3494058603 T^{9} + 28793007365 T^{10} + 179430089986 T^{11} + 1264536069922 T^{12} + 6121750187943 T^{13} + 36764781485327 T^{14} + 127331682217474 T^{15} + 645753531245761 T^{16} \))(\( 1 - 10 T + 441 T^{2} - 3513 T^{3} + 87640 T^{4} - 571876 T^{5} + 10660549 T^{6} - 58299819 T^{7} + 895020310 T^{8} - 4139287149 T^{9} + 53739827509 T^{10} - 204680711036 T^{11} + 2227079722840 T^{12} - 6338257710063 T^{13} + 56492225209161 T^{14} - 90951201583910 T^{15} + 645753531245761 T^{16} \))(\( 1 + 3 T + 251 T^{2} + 817 T^{3} + 34524 T^{4} + 118515 T^{5} + 3534502 T^{6} + 12628708 T^{7} + 283024187 T^{8} + 896638268 T^{9} + 17817424582 T^{10} + 42417822165 T^{11} + 877312874844 T^{12} + 1474055379767 T^{13} + 32153171264171 T^{14} + 27285360475173 T^{15} + 645753531245761 T^{16} \))(\( 1 + 18 T + 336 T^{2} + 4251 T^{3} + 58715 T^{4} + 643707 T^{5} + 7369235 T^{6} + 72030587 T^{7} + 721946446 T^{8} + 6325165830 T^{9} + 56555308584 T^{10} + 449086773930 T^{11} + 3639332034286 T^{12} + 25780539423757 T^{13} + 187264649034035 T^{14} + 1161395062844157 T^{15} + 7521408170421515 T^{16} + 38663355793320141 T^{17} + 216973186498575696 T^{18} + 825273012932082558 T^{19} + 3255243551009881201 T^{20} \))(\( 1 - 27 T + 769 T^{2} - 12677 T^{3} + 211109 T^{4} - 2561290 T^{5} + 31908719 T^{6} - 314370001 T^{7} + 3272553983 T^{8} - 27991906775 T^{9} + 258616728138 T^{10} - 1987425381025 T^{11} + 16496944628303 T^{12} - 112516481427911 T^{13} + 810854188346639 T^{14} - 4621154594422790 T^{15} + 27043122838278389 T^{16} - 115298838247922707 T^{17} + 496584465527990209 T^{18} - 1237909519398123837 T^{19} + 3255243551009881201 T^{20} \))(\( 1 + 14 T + 437 T^{2} + 4223 T^{3} + 71293 T^{4} + 481786 T^{5} + 6090758 T^{6} + 32381282 T^{7} + 417026685 T^{8} + 2611708381 T^{9} + 33828315852 T^{10} + 225169195076 T^{11} + 2401810425492 T^{12} + 13165621948621 T^{13} + 149258437855035 T^{14} + 822862808555042 T^{15} + 10989124353438058 T^{16} + 61716923389162906 T^{17} + 648418401452169563 T^{18} + 2727017162450848703 T^{19} + 20035794813962226547 T^{20} + 45573409714138336814 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 - 13 T + 618 T^{2} - 6580 T^{3} + 171000 T^{4} - 1562289 T^{5} + 29138266 T^{6} - 236229871 T^{7} + 3513809632 T^{8} - 25626801376 T^{9} + 320930434273 T^{10} - 2088146064158 T^{11} + 22786060833383 T^{12} - 129184705736416 T^{13} + 1257631119198752 T^{14} - 6002998124523151 T^{15} + 52572114754445366 T^{16} - 200129664466655169 T^{17} + 1555265547084861000 T^{18} - 4249058235597107380 T^{19} + 28334373444001501158 T^{20} - 42318166163128455613 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 - 14 T + 460 T^{2} - 4985 T^{3} + 97579 T^{4} - 889779 T^{5} + 13375484 T^{6} - 107292585 T^{7} + 1371734479 T^{8} - 10002402779 T^{9} + 114707718403 T^{10} - 772344883748 T^{11} + 8144248006613 T^{12} - 50422112408939 T^{13} + 490958859113369 T^{14} - 2726484943685385 T^{15} + 24132440816630884 T^{16} - 113980942526943459 T^{17} + 887492729935635389 T^{18} - 3219081353260118585 T^{19} + 21090310330486554260 T^{20} - 45573409714138336814 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + 2 T + 440 T^{2} + 1279 T^{3} + 102850 T^{4} + 331941 T^{5} + 16564343 T^{6} + 53384690 T^{7} + 2020488169 T^{8} + 6192873709 T^{9} + 195311727749 T^{10} + 555125727073 T^{11} + 15326747025720 T^{12} + 39413926622183 T^{13} + 984566419582709 T^{14} + 2216497622061899 T^{15} + 51344000814902089 T^{16} + 96318224592036190 T^{17} + 2121897041264828903 T^{18} + 3019043280496466931 T^{19} + 66415750688626518850 T^{20} + 58640232418896310649 T^{21} + \)\(14\!\cdots\!40\)\( T^{22} + \)\(46\!\cdots\!42\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T + 501 T^{2} - 3749 T^{3} + 130316 T^{4} - 1104060 T^{5} + 23219737 T^{6} - 206533023 T^{7} + 3142906526 T^{8} - 27675354965 T^{9} + 337836323572 T^{10} - 2821257371214 T^{11} + 29403904461635 T^{12} - 225311662741582 T^{13} + 2087677216776085 T^{14} - 14221958408289774 T^{15} + 120915336405978092 T^{16} - 703277291932346165 T^{17} + 5670524201658644626 T^{18} - 26456938885362423183 T^{19} + \)\(21\!\cdots\!67\)\( T^{20} - \)\(71\!\cdots\!60\)\( T^{21} + \)\(59\!\cdots\!96\)\( T^{22} - \)\(12\!\cdots\!49\)\( T^{23} + \)\(11\!\cdots\!71\)\( T^{24} - \)\(98\!\cdots\!46\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))
$73$ (\( 1 - 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 13 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 3 T + 144 T^{2} + 219 T^{3} + 5329 T^{4} \))(\( 1 - 15 T + 164 T^{2} - 1095 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( 1 + 94 T^{2} + 5329 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 126 T^{2} + 5329 T^{4} \))(\( 1 + 6 T + 134 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 190 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 + 28 T + 387 T^{2} + 3728 T^{3} + 28251 T^{4} + 149212 T^{5} + 389017 T^{6} \))(\( 1 + 21 T + 442 T^{2} + 5027 T^{3} + 54266 T^{4} + 366971 T^{5} + 2355418 T^{6} + 8169357 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T + 277 T^{2} - 2312 T^{3} + 35314 T^{4} - 236188 T^{5} + 2577922 T^{6} - 12320648 T^{7} + 107757709 T^{8} - 283982410 T^{9} + 2073071593 T^{10} \))(\( 1 + 13 T + 514 T^{2} + 5567 T^{3} + 119936 T^{4} + 1079789 T^{5} + 16553022 T^{6} + 123546039 T^{7} + 1481601022 T^{8} + 9018860847 T^{9} + 88211054238 T^{10} + 420056277413 T^{11} + 3405971432576 T^{12} + 11540789558231 T^{13} + 77785792312546 T^{14} + 143616180748261 T^{15} + 806460091894081 T^{16} \))(\( 1 + T + 380 T^{2} + 599 T^{3} + 66988 T^{4} + 138669 T^{5} + 7491556 T^{6} + 17194251 T^{7} + 618651558 T^{8} + 1255180323 T^{9} + 39922501924 T^{10} + 53944598373 T^{11} + 1902341368108 T^{12} + 1241769884207 T^{13} + 57507005989820 T^{14} + 11047398519097 T^{15} + 806460091894081 T^{16} \))(\( 1 - 32 T + 704 T^{2} - 10628 T^{3} + 137164 T^{4} - 1496452 T^{5} + 15474608 T^{6} - 144995000 T^{7} + 1303399494 T^{8} - 10584635000 T^{9} + 82464186032 T^{10} - 582145267684 T^{11} + 3895216328524 T^{12} - 22032604890404 T^{13} + 106539295307456 T^{14} - 353516752611104 T^{15} + 806460091894081 T^{16} \))(\( 1 - 3 T + 418 T^{2} - 727 T^{3} + 80673 T^{4} - 37760 T^{5} + 9681104 T^{6} + 7643944 T^{7} + 853999630 T^{8} + 1455931258 T^{9} + 64655784028 T^{10} + 106282981834 T^{11} + 4550964028270 T^{12} + 2973624163048 T^{13} + 274926324538064 T^{14} - 78279183351680 T^{15} + 12208586037412497 T^{16} - 8031458723383519 T^{17} + 337100318411725858 T^{18} - 176614760124803739 T^{19} + 4297625829703557649 T^{20} \))(\( 1 - 28 T + 870 T^{2} - 16480 T^{3} + 305597 T^{4} - 4432908 T^{5} + 61081368 T^{6} - 715012580 T^{7} + 7878073170 T^{8} - 76194275636 T^{9} + 691714590212 T^{10} - 5562182121428 T^{11} + 41982251922930 T^{12} - 278152048833860 T^{13} + 1734603409073688 T^{14} - 9189735649182444 T^{15} + 46247285551239533 T^{16} - 182061127594718560 T^{17} + 701620279947850470 T^{18} - 1648404427831501564 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + 11 T + 419 T^{2} + 4678 T^{3} + 89099 T^{4} + 977295 T^{5} + 12973961 T^{6} + 132506040 T^{7} + 1444417742 T^{8} + 13285903126 T^{9} + 129124939882 T^{10} + 1067800677380 T^{11} + 9426120611386 T^{12} + 70800577758454 T^{13} + 561903056739614 T^{14} + 3762938457875640 T^{15} + 26895949997789873 T^{16} + 147898182681108255 T^{17} + 984312160653023603 T^{18} + 3772620309880510918 T^{19} + 24667194830764255547 T^{20} + 47273884126739134139 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 - 20 T + 654 T^{2} - 9228 T^{3} + 170354 T^{4} - 1839856 T^{5} + 24708177 T^{6} - 214491752 T^{7} + 2365221182 T^{8} - 17561079708 T^{9} + 179080911832 T^{10} - 1268090729176 T^{11} + 13072906563736 T^{12} - 93582993763932 T^{13} + 920111248558094 T^{14} - 6091188465808232 T^{15} + 51221819853515961 T^{16} - 278433184243174384 T^{17} + 1881968527322250338 T^{18} - 7442013727998579468 T^{19} + 38502017707207215102 T^{20} - 85952516594071152980 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 + 20 T + 434 T^{2} + 6864 T^{3} + 101726 T^{4} + 1297304 T^{5} + 15856793 T^{6} + 173960008 T^{7} + 1848478870 T^{8} + 17939764980 T^{9} + 168530649416 T^{10} + 1469464726928 T^{11} + 12302737407368 T^{12} + 95601007578420 T^{13} + 719089704570790 T^{14} + 4940158231545928 T^{15} + 32872267124381249 T^{16} + 196326497101624856 T^{17} + 1123807661753661422 T^{18} + 5535542070760971984 T^{19} + 25550268631388274242 T^{20} + 85952516594071152980 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 - 29 T + 954 T^{2} - 19535 T^{3} + 391466 T^{4} - 6242427 T^{5} + 94941506 T^{6} - 1241853249 T^{7} + 15429769519 T^{8} - 170316190890 T^{9} + 1785874498212 T^{10} - 16877221454302 T^{11} + 151573995496588 T^{12} - 1232037166164046 T^{13} + 9516925200971748 T^{14} - 66255893631455130 T^{15} + 438178313375016079 T^{16} - 2574450693176655657 T^{17} + 14367899353222451234 T^{18} - 68962578795371128419 T^{19} + \)\(31\!\cdots\!46\)\( T^{20} - \)\(11\!\cdots\!55\)\( T^{21} + \)\(40\!\cdots\!46\)\( T^{22} - \)\(90\!\cdots\!33\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 7 T + 399 T^{2} - 3012 T^{3} + 89944 T^{4} - 668670 T^{5} + 14571168 T^{6} - 103530660 T^{7} + 1842824813 T^{8} - 12439646537 T^{9} + 190400204787 T^{10} - 1206715535064 T^{11} + 16465182480168 T^{12} - 96590643124004 T^{13} + 1201958321052264 T^{14} - 6430587086356056 T^{15} + 74068916465624379 T^{16} - 353264080312541417 T^{17} + 3820307770705837109 T^{18} - 15667732328289520740 T^{19} + \)\(16\!\cdots\!96\)\( T^{20} - \)\(53\!\cdots\!70\)\( T^{21} + \)\(52\!\cdots\!72\)\( T^{22} - \)\(12\!\cdots\!88\)\( T^{23} + \)\(12\!\cdots\!23\)\( T^{24} - \)\(16\!\cdots\!47\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))
$79$ (\( 1 - 6 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 - 3 T + 156 T^{2} - 237 T^{3} + 6241 T^{4} \))(\( 1 + 23 T + 286 T^{2} + 1817 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 132 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 - 9 T + 175 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 144 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 3 T + 129 T^{2} + 237 T^{3} + 6241 T^{4} \))(\( 1 + 13 T + 195 T^{2} + 1027 T^{3} + 6241 T^{4} \))(\( 1 + T + 147 T^{2} + 79 T^{3} + 6241 T^{4} \))(\( 1 - 3 T + 100 T^{2} - 274 T^{3} + 7900 T^{4} - 18723 T^{5} + 493039 T^{6} \))(\( 1 + 13 T + 142 T^{2} + 1699 T^{3} + 21232 T^{4} + 134221 T^{5} + 886222 T^{6} + 6409507 T^{7} + 38950081 T^{8} \))(\( 1 + 9 T + 346 T^{2} + 2666 T^{3} + 51429 T^{4} + 309056 T^{5} + 4062891 T^{6} + 16638506 T^{7} + 170591494 T^{8} + 350550729 T^{9} + 3077056399 T^{10} \))(\( 1 + 8 T + 424 T^{2} + 2987 T^{3} + 91468 T^{4} + 564333 T^{5} + 12518738 T^{6} + 66589874 T^{7} + 1180934250 T^{8} + 5260600046 T^{9} + 78129443858 T^{10} + 278238177987 T^{11} + 3562686008908 T^{12} + 9191167463813 T^{13} + 103069081140904 T^{14} + 153631271889272 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 24 T + 544 T^{2} + 8075 T^{3} + 116284 T^{4} + 1338891 T^{5} + 15357314 T^{6} + 149017552 T^{7} + 1433563482 T^{8} + 11772386608 T^{9} + 95844996674 T^{10} + 660125479749 T^{11} + 4529271219004 T^{12} + 24847230421925 T^{13} + 132239575803424 T^{14} + 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 45 T + 1264 T^{2} - 24352 T^{3} + 368254 T^{4} - 4481047 T^{5} + 47083561 T^{6} - 442336508 T^{7} + 3997142488 T^{8} - 34944584132 T^{9} + 293848504201 T^{10} - 2209330931833 T^{11} + 14343523128574 T^{12} - 74932477428448 T^{13} + 307262543778544 T^{14} - 864175904377155 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 14 T + 337 T^{2} + 4599 T^{3} + 55352 T^{4} + 681756 T^{5} + 6101048 T^{6} + 61563193 T^{7} + 541631883 T^{8} + 4355926086 T^{9} + 43938008184 T^{10} + 344118160794 T^{11} + 3380324581803 T^{12} + 30353055113527 T^{13} + 237636313784888 T^{14} + 2097801662356644 T^{15} + 13455376837998392 T^{16} + 88318777427345241 T^{17} + 511265668938511057 T^{18} + 1677922343756656466 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 3 T + 332 T^{2} + 102 T^{3} + 54215 T^{4} + 198396 T^{5} + 6151961 T^{6} + 42581034 T^{7} + 552365978 T^{8} + 5220090999 T^{9} + 44251998226 T^{10} + 412387188921 T^{11} + 3447316068698 T^{12} + 20994110422326 T^{13} + 239619379258841 T^{14} + 610475681336004 T^{15} + 13178986401071015 T^{16} + 1958798716588218 T^{17} + 503680124888978252 T^{18} - 359554787947854957 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 28 T + 932 T^{2} - 18511 T^{3} + 366453 T^{4} - 5675049 T^{5} + 84285456 T^{6} - 1068914179 T^{7} + 12909518055 T^{8} - 137778481749 T^{9} + 1401316366039 T^{10} - 12753157348064 T^{11} + 110703992917081 T^{12} - 859875504595509 T^{13} + 6364895872319145 T^{14} - 41634293854098499 T^{15} + 259351101727432944 T^{16} - 1379533221366995529 T^{17} + 7037330059704924027 T^{18} - 28083201180180350671 T^{19} + \)\(11\!\cdots\!08\)\( T^{20} - \)\(26\!\cdots\!28\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 - 13 T + 532 T^{2} - 5670 T^{3} + 128232 T^{4} - 1139829 T^{5} + 19162564 T^{6} - 145750711 T^{7} + 2085732122 T^{8} - 14138936202 T^{9} + 186290258265 T^{10} - 1176904001498 T^{11} + 14716930402935 T^{12} - 88241100836682 T^{13} + 1028347279698758 T^{14} - 5677001999257591 T^{15} + 58964290177447036 T^{16} - 277078131339045909 T^{17} + 2462555657113140888 T^{18} - 8602006952170200870 T^{19} + 63761049062752945708 T^{20} - \)\(12\!\cdots\!13\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 23 T + 736 T^{2} + 12240 T^{3} + 228094 T^{4} + 3009647 T^{5} + 42087186 T^{6} + 467303733 T^{7} + 5429720888 T^{8} + 52768209540 T^{9} + 536578013057 T^{10} + 4660295820994 T^{11} + 42389663031503 T^{12} + 329326395739140 T^{13} + 2677064156898632 T^{14} + 18201518251952373 T^{15} + 129504644997203214 T^{16} + 731607431246411087 T^{17} + 4380296416288950946 T^{18} + 18569411833256306640 T^{19} + 88210774643207082784 T^{20} + \)\(21\!\cdots\!23\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 - 2 T + 411 T^{2} - 2253 T^{3} + 89379 T^{4} - 639562 T^{5} + 14623097 T^{6} - 104340042 T^{7} + 1878227557 T^{8} - 12746093586 T^{9} + 193222566838 T^{10} - 1243919785871 T^{11} + 16586345035122 T^{12} - 98269663083809 T^{13} + 1205902039635958 T^{14} - 6284321235547854 T^{15} + 73157115481582117 T^{16} - 321060193908028758 T^{17} + 3554691441566768537 T^{18} - 12282090439005822358 T^{19} + \)\(13\!\cdots\!19\)\( T^{20} - \)\(27\!\cdots\!07\)\( T^{21} + \)\(38\!\cdots\!11\)\( T^{22} - \)\(14\!\cdots\!58\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 50 T + 1658 T^{2} - 39081 T^{3} + 764788 T^{4} - 12664163 T^{5} + 188574694 T^{6} - 2535590314 T^{7} + 31718108822 T^{8} - 367378810578 T^{9} + 4008883879703 T^{10} - 40939732372457 T^{11} + 396495909847004 T^{12} - 3614086581463274 T^{13} + 31323176877913316 T^{14} - 255504869736504137 T^{15} + 1976536099164887417 T^{16} - 14309434429696756818 T^{17} + 97598409714913451978 T^{18} - \)\(61\!\cdots\!94\)\( T^{19} + \)\(36\!\cdots\!46\)\( T^{20} - \)\(19\!\cdots\!43\)\( T^{21} + \)\(91\!\cdots\!72\)\( T^{22} - \)\(37\!\cdots\!81\)\( T^{23} + \)\(12\!\cdots\!82\)\( T^{24} - \)\(29\!\cdots\!50\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))
$83$ (\( 1 + 4 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 15 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 10 T + 38 T^{2} + 830 T^{3} + 6889 T^{4} \))(\( 1 + 9 T + 182 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 140 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 5 T + 169 T^{2} + 415 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 104 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 15 T + 121 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( 1 - 9 T + 181 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 - 15 T + 161 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( 1 + 15 T + 184 T^{2} + 1854 T^{3} + 15272 T^{4} + 103335 T^{5} + 571787 T^{6} \))(\( 1 + 16 T + 212 T^{2} + 1662 T^{3} + 17126 T^{4} + 137946 T^{5} + 1460468 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 + 19 T + 408 T^{2} + 5516 T^{3} + 69799 T^{4} + 651472 T^{5} + 5793317 T^{6} + 37999724 T^{7} + 233289096 T^{8} + 901708099 T^{9} + 3939040643 T^{10} \))(\( 1 + 4 T + 452 T^{2} + 1499 T^{3} + 98766 T^{4} + 288133 T^{5} + 13829002 T^{6} + 35768690 T^{7} + 1357063142 T^{8} + 2968801270 T^{9} + 95267994778 T^{10} + 164750703671 T^{11} + 4687268531886 T^{12} + 5904621923857 T^{13} + 147777048762788 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 15 T + 415 T^{2} + 3977 T^{3} + 72926 T^{4} + 534539 T^{5} + 8318713 T^{6} + 49513329 T^{7} + 736179426 T^{8} + 4109606307 T^{9} + 57307613857 T^{10} + 305642451193 T^{11} + 3460945517246 T^{12} + 15665564637211 T^{13} + 135680254948135 T^{14} + 407040764844405 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 39 T + 902 T^{2} - 14594 T^{3} + 198374 T^{4} - 2399223 T^{5} + 27273811 T^{6} - 284037900 T^{7} + 2724078224 T^{8} - 23575145700 T^{9} + 187889283979 T^{10} - 1371844521501 T^{11} + 9414496970054 T^{12} - 57486359143942 T^{13} + 294900216778838 T^{14} - 1058305988595453 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 23 T + 776 T^{2} - 13490 T^{3} + 267861 T^{4} - 3724064 T^{5} + 55138019 T^{6} - 636062758 T^{7} + 7617153620 T^{8} - 74270783979 T^{9} + 745297454950 T^{10} - 6164475070257 T^{11} + 52474571288180 T^{12} - 363692416208546 T^{13} + 2616757805006099 T^{14} - 14669239453133152 T^{15} + 87574575350993709 T^{16} - 366065327850068230 T^{17} + 1747778772139895816 T^{18} - 4299625871153429269 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 11 T + 516 T^{2} + 3520 T^{3} + 109357 T^{4} + 440698 T^{5} + 14706827 T^{6} + 38564244 T^{7} + 1640221632 T^{8} + 3806657943 T^{9} + 153598851254 T^{10} + 315952609269 T^{11} + 11299486822848 T^{12} + 22050533384028 T^{13} + 697961316657467 T^{14} + 1735927333288814 T^{15} + 35753218410513733 T^{16} + 95518899483487040 T^{17} + 1162182791783745156 T^{18} + 2056342807942944433 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 4 T + 376 T^{2} + 1039 T^{3} + 71899 T^{4} + 183149 T^{5} + 10363006 T^{6} + 29383751 T^{7} + 1227190655 T^{8} + 3388895417 T^{9} + 119250890355 T^{10} + 299932335704 T^{11} + 9897823899465 T^{12} + 23346100527713 T^{13} + 701691663050485 T^{14} + 1394503487142071 T^{15} + 40820301817652858 T^{16} + 59878802442158981 T^{17} + 1951054930103191673 T^{18} + 2340131629192463599 T^{19} + 70289535980595191528 T^{20} + 62064164748823413796 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 + 6 T + 458 T^{2} + 3085 T^{3} + 106275 T^{4} + 727381 T^{5} + 17034344 T^{6} + 110058399 T^{7} + 2096923575 T^{8} + 12555856507 T^{9} + 208450397773 T^{10} + 1154152248332 T^{11} + 17301383015159 T^{12} + 86497295476723 T^{13} + 1198993640178525 T^{14} + 5223186828488079 T^{15} + 67098973342843192 T^{16} + 237810215721516589 T^{17} + 2883883818922609425 T^{18} + 6948321536148941485 T^{19} + 85618636912533504574 T^{20} + 93096247123235120694 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 12 T + 592 T^{2} - 6193 T^{3} + 164761 T^{4} - 1477529 T^{5} + 28827088 T^{6} - 221017883 T^{7} + 3620521637 T^{8} - 24209524583 T^{9} + 358500020515 T^{10} - 2169978265488 T^{11} + 29755501702745 T^{12} - 166779414852287 T^{13} + 2070167205255319 T^{14} - 10489137638154443 T^{15} + 113551071251337584 T^{16} - 483063882923525201 T^{17} + 4470962897101934147 T^{18} - 13948445793637080913 T^{19} + \)\(11\!\cdots\!76\)\( T^{20} - \)\(18\!\cdots\!88\)\( T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 26 T + 793 T^{2} - 14473 T^{3} + 269039 T^{4} - 3881982 T^{5} + 55392841 T^{6} - 676943158 T^{7} + 8110698807 T^{8} - 87408727066 T^{9} + 920478793140 T^{10} - 8929268159403 T^{11} + 84453485499158 T^{12} - 741129257230449 T^{13} + 6341178405941460 T^{14} - 49979173822886942 T^{15} + 384920147516923047 T^{16} - 2666506612362770594 T^{17} + 18110156118509651329 T^{18} - \)\(10\!\cdots\!14\)\( T^{19} + \)\(60\!\cdots\!99\)\( T^{20} - \)\(27\!\cdots\!19\)\( T^{21} + \)\(12\!\cdots\!57\)\( T^{22} - \)\(33\!\cdots\!42\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - T + 529 T^{2} - 1775 T^{3} + 148198 T^{4} - 707625 T^{5} + 29150747 T^{6} - 159852999 T^{7} + 4425883026 T^{8} - 25095323897 T^{9} + 540940826210 T^{10} - 2977236851834 T^{11} + 54281517087965 T^{12} - 277223885418538 T^{13} + 4505365918301095 T^{14} - 20510184672284426 T^{15} + 309302932196137270 T^{16} - 1190981937102796937 T^{17} + 17433733120577825718 T^{18} - 52262399177214383631 T^{19} + \)\(79\!\cdots\!69\)\( T^{20} - \)\(15\!\cdots\!25\)\( T^{21} + \)\(27\!\cdots\!94\)\( T^{22} - \)\(27\!\cdots\!75\)\( T^{23} + \)\(68\!\cdots\!43\)\( T^{24} - \)\(10\!\cdots\!61\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))
$89$ (\( 1 + 2 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 11 T + 170 T^{2} + 979 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 50 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( 1 + 24 T + 319 T^{2} + 2136 T^{3} + 7921 T^{4} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( 1 + 6 T + 185 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 8 T + 174 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 2 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 18 T + 214 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 - T + 121 T^{2} - 358 T^{3} + 10769 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 - 11 T + 171 T^{2} - 828 T^{3} + 12944 T^{4} - 73692 T^{5} + 1354491 T^{6} - 7754659 T^{7} + 62742241 T^{8} \))(\( 1 + 21 T + 602 T^{2} + 7983 T^{3} + 121805 T^{4} + 1088584 T^{5} + 10840645 T^{6} + 63233343 T^{7} + 424391338 T^{8} + 1317587061 T^{9} + 5584059449 T^{10} \))(\( 1 - 5 T + 299 T^{2} - 508 T^{3} + 49214 T^{4} + 31858 T^{5} + 5570917 T^{6} + 11761287 T^{7} + 540583874 T^{8} + 1046754543 T^{9} + 44127233557 T^{10} + 22458902402 T^{11} + 3087796648574 T^{12} - 2836702200092 T^{13} + 148597405997339 T^{14} - 221156674477645 T^{15} + 3936588805702081 T^{16} \))(\( 1 + T + 563 T^{2} + 514 T^{3} + 144448 T^{4} + 115668 T^{5} + 22566989 T^{6} + 15461825 T^{7} + 2396889310 T^{8} + 1376102425 T^{9} + 178753119869 T^{10} + 81542354292 T^{11} + 9062991227968 T^{12} + 2870206556786 T^{13} + 279800466811043 T^{14} + 44231334895529 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 22 T + 489 T^{2} + 7894 T^{3} + 127750 T^{4} + 1616582 T^{5} + 19871335 T^{6} + 209703870 T^{7} + 2155136002 T^{8} + 18663644430 T^{9} + 157400844535 T^{10} + 1139640195958 T^{11} + 8015321287750 T^{12} + 44080565290406 T^{13} + 243023851279929 T^{14} + 973089367701638 T^{15} + 3936588805702081 T^{16} \))(\( 1 - T + 443 T^{2} - 382 T^{3} + 99407 T^{4} - 96203 T^{5} + 15048020 T^{6} - 17286665 T^{7} + 1744367712 T^{8} - 2164824613 T^{9} + 167746942306 T^{10} - 192669390557 T^{11} + 13817136646752 T^{12} - 12186562938385 T^{13} + 944146497412820 T^{14} - 537203271172147 T^{15} + 49403419190560127 T^{16} - 16896369930092078 T^{17} + 1743908840926021883 T^{18} - 350356403707485209 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 16 T + 415 T^{2} - 4952 T^{3} + 82237 T^{4} - 845196 T^{5} + 11783236 T^{6} - 109548380 T^{7} + 1365146978 T^{8} - 11587294544 T^{9} + 131722501274 T^{10} - 1031269214416 T^{11} + 10813329212738 T^{12} - 77228211900220 T^{13} + 739306632871876 T^{14} - 4719624710057004 T^{15} + 40870250424759757 T^{16} - 219033570402659608 T^{17} + 1633684354366363615 T^{18} - 5605702459319763344 T^{19} + 31181719929966183601 T^{20} \))(\( 1 + 7 T + 582 T^{2} + 4287 T^{3} + 168480 T^{4} + 1270715 T^{5} + 32203935 T^{6} + 241593516 T^{7} + 4553415280 T^{8} + 32830868478 T^{9} + 504268929186 T^{10} + 3348280634826 T^{11} + 44879934697554 T^{12} + 260053309214238 T^{13} + 3210016616526320 T^{14} + 15158118604909356 T^{15} + 179828687531731815 T^{16} + 631521581143507115 T^{17} + 7452095303198725920 T^{18} + 16876156210044821247 T^{19} + \)\(20\!\cdots\!38\)\( T^{20} + \)\(21\!\cdots\!07\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 - 10 T + 410 T^{2} - 3976 T^{3} + 96418 T^{4} - 831566 T^{5} + 15703149 T^{6} - 123279752 T^{7} + 1995906402 T^{8} - 14245559336 T^{9} + 208926667468 T^{10} - 1377872474016 T^{11} + 18594473404652 T^{12} - 112839075500456 T^{13} + 1407052140311538 T^{14} - 7734847910404232 T^{15} + 87687317552504901 T^{16} - 413272744199274926 T^{17} + 4264696847957115122 T^{18} - 15651877091471474056 T^{19} + \)\(14\!\cdots\!90\)\( T^{20} - \)\(31\!\cdots\!10\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 + T + 673 T^{2} + 1442 T^{3} + 221665 T^{4} + 632093 T^{5} + 47406969 T^{6} + 149040168 T^{7} + 7309766046 T^{8} + 22635956562 T^{9} + 849378499526 T^{10} + 2389655595756 T^{11} + 75594686457814 T^{12} + 179299411927602 T^{13} + 5153158459682574 T^{14} + 9351114139336488 T^{15} + 264723333192900081 T^{16} + 314138395147411373 T^{17} + 9804538849617435785 T^{18} + 5676561057822400802 T^{19} + \)\(23\!\cdots\!57\)\( T^{20} + 31181719929966183601 T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 - 41 T + 1575 T^{2} - 39952 T^{3} + 930020 T^{4} - 17532120 T^{5} + 305616583 T^{6} - 4610130597 T^{7} + 64782862031 T^{8} - 810703195874 T^{9} + 9496368505634 T^{10} - 100349127411920 T^{11} + 994856690864984 T^{12} - 8931072339660880 T^{13} + 75220734933126914 T^{14} - 571520621292097906 T^{15} + 4064621942218751471 T^{16} - 25743243321301861053 T^{17} + \)\(15\!\cdots\!63\)\( T^{18} - \)\(77\!\cdots\!80\)\( T^{19} + \)\(36\!\cdots\!20\)\( T^{20} - \)\(13\!\cdots\!68\)\( T^{21} + \)\(49\!\cdots\!75\)\( T^{22} - \)\(11\!\cdots\!49\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 5 T + 558 T^{2} - 2547 T^{3} + 155717 T^{4} - 584188 T^{5} + 29267765 T^{6} - 83723951 T^{7} + 4235160724 T^{8} - 9150731107 T^{9} + 508578230213 T^{10} - 887989578286 T^{11} + 52399791106270 T^{12} - 81332559882616 T^{13} + 4663581408458030 T^{14} - 7033765449603406 T^{15} + 358531886375028397 T^{16} - 574137376441590787 T^{17} + 23649389258885881076 T^{18} - 41609237252335506911 T^{19} + \)\(12\!\cdots\!85\)\( T^{20} - \)\(22\!\cdots\!28\)\( T^{21} + \)\(54\!\cdots\!53\)\( T^{22} - \)\(79\!\cdots\!47\)\( T^{23} + \)\(15\!\cdots\!62\)\( T^{24} - \)\(12\!\cdots\!05\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 3 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 18 T + 258 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 27 T + 372 T^{2} + 2619 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 18 T + 262 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 250 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 214 T^{2} + 970 T^{3} + 9409 T^{4} \))(\( 1 + 110 T^{2} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 20 T + 367 T^{2} - 3672 T^{3} + 35599 T^{4} - 188180 T^{5} + 912673 T^{6} \))(\( 1 - 26 T + 412 T^{2} - 5550 T^{3} + 62678 T^{4} - 538350 T^{5} + 3876508 T^{6} - 23729498 T^{7} + 88529281 T^{8} \))(\( 1 - 10 T + 225 T^{2} - 1432 T^{3} + 29534 T^{4} - 185692 T^{5} + 2864798 T^{6} - 13473688 T^{7} + 205351425 T^{8} - 885292810 T^{9} + 8587340257 T^{10} \))(\( 1 + 23 T + 574 T^{2} + 7585 T^{3} + 105528 T^{4} + 830323 T^{5} + 7761410 T^{6} + 29168789 T^{7} + 391255310 T^{8} + 2829372533 T^{9} + 73027106690 T^{10} + 757813383379 T^{11} + 9342317965368 T^{12} + 65134975849345 T^{13} + 478125930829246 T^{14} + 1858360542996599 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 30 T + 904 T^{2} + 17826 T^{3} + 319404 T^{4} + 4685286 T^{5} + 62097656 T^{6} + 716519130 T^{7} + 7509245606 T^{8} + 69502355610 T^{9} + 584276845304 T^{10} + 4276134029478 T^{11} + 28276606468524 T^{12} + 153077927421282 T^{13} + 753006692455816 T^{14} + 2423948534343390 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 30 T + 972 T^{2} - 18646 T^{3} + 355644 T^{4} - 5057418 T^{5} + 70504772 T^{6} - 786673474 T^{7} + 8582427558 T^{8} - 76307326978 T^{9} + 663379399748 T^{10} - 4615768858314 T^{11} + 31484907611964 T^{12} - 160119546432022 T^{13} + 809648788790988 T^{14} - 2423948534343390 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 30 T + 1006 T^{2} - 20394 T^{3} + 411581 T^{4} - 6457164 T^{5} + 98205176 T^{6} - 1265341780 T^{7} + 15688018626 T^{8} - 170791635800 T^{9} + 1785886492596 T^{10} - 16566788672600 T^{11} + 147608567252034 T^{12} - 1154843278377940 T^{13} + 8694033621758456 T^{14} - 55449864363251148 T^{15} + 342835450760682749 T^{16} - 1647800213646636522 T^{17} + 7884458195943222766 T^{18} - 22806931759636956510 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 22 T + 850 T^{2} - 12746 T^{3} + 279525 T^{4} - 3077796 T^{5} + 50380344 T^{6} - 427306108 T^{7} + 6104174938 T^{8} - 43486839104 T^{9} + 613073662444 T^{10} - 4218223393088 T^{11} + 57434181991642 T^{12} - 389990747506684 T^{13} + 4460135630852664 T^{14} - 26430081493633572 T^{15} + 232836499677778725 T^{16} - 1029854933958028298 T^{17} + 6661818555220416850 T^{18} - 16725083290400434774 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + T + 387 T^{2} + 1342 T^{3} + 82555 T^{4} + 470349 T^{5} + 13051513 T^{6} + 93397112 T^{7} + 1738013254 T^{8} + 13081357618 T^{9} + 198916145922 T^{10} + 1415625834516 T^{11} + 19294866154434 T^{12} + 123082493827762 T^{13} + 1586237770567942 T^{14} + 8268379172836472 T^{15} + 112077782999658841 T^{16} + 391787549546350221 T^{17} + 6670302375090618715 T^{18} + 10517835883653881662 T^{19} + \)\(29\!\cdots\!79\)\( T^{20} + 73742412689492826049 T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 3 T + 375 T^{2} - 954 T^{3} + 83087 T^{4} - 70655 T^{5} + 13195145 T^{6} + 5720328 T^{7} + 1685709494 T^{8} + 2260076226 T^{9} + 185972986490 T^{10} + 294025770852 T^{11} + 18039379689530 T^{12} + 21265057210434 T^{13} + 1538501541017462 T^{14} + 506416524924168 T^{15} + 113311199855452265 T^{16} - 58853637008258495 T^{17} + 6713287062432974831 T^{18} - 7476911649035620794 T^{19} + \)\(28\!\cdots\!75\)\( T^{20} - \)\(22\!\cdots\!47\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 17 T + 733 T^{2} - 8806 T^{3} + 226517 T^{4} - 2124109 T^{5} + 43873857 T^{6} - 352763480 T^{7} + 6494674638 T^{8} - 47525276130 T^{9} + 783419884094 T^{10} - 5192510072708 T^{11} + 75991728757118 T^{12} - 447165323107170 T^{13} + 5927514185887374 T^{14} - 31229897247457880 T^{15} + 376759738445961249 T^{16} - 1769323332417733261 T^{17} + 18302185005128722421 T^{18} - 69016440232083518566 T^{19} + \)\(55\!\cdots\!61\)\( T^{20} - \)\(12\!\cdots\!33\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 + 7 T + 686 T^{2} + 3921 T^{3} + 226418 T^{4} + 1042781 T^{5} + 48755990 T^{6} + 178774699 T^{7} + 7795899247 T^{8} + 22845444702 T^{9} + 993525140156 T^{10} + 2436670240642 T^{11} + 105063768730428 T^{12} + 236357013342274 T^{13} + 9348078043727804 T^{14} + 20850420552508446 T^{15} + 690165355085351407 T^{16} + 1535199169655757643 T^{17} + 40612374742598274710 T^{18} + 84254915886371152253 T^{19} + \)\(17\!\cdots\!98\)\( T^{20} + \)\(29\!\cdots\!57\)\( T^{21} + \)\(50\!\cdots\!14\)\( T^{22} + \)\(50\!\cdots\!71\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 20 T + 785 T^{2} - 11420 T^{3} + 271778 T^{4} - 3258592 T^{5} + 60901010 T^{6} - 637222508 T^{7} + 10178636847 T^{8} - 95182889548 T^{9} + 1360029722975 T^{10} - 11619142030840 T^{11} + 152968772535020 T^{12} - 1212016541443456 T^{13} + 14837970935896940 T^{14} - 109324507368173560 T^{15} + 1241262407356762175 T^{16} - 8426472775186854988 T^{17} + 87407417957626649679 T^{18} - \)\(53\!\cdots\!32\)\( T^{19} + \)\(49\!\cdots\!30\)\( T^{20} - \)\(25\!\cdots\!12\)\( T^{21} + \)\(20\!\cdots\!26\)\( T^{22} - \)\(84\!\cdots\!80\)\( T^{23} + \)\(56\!\cdots\!05\)\( T^{24} - \)\(13\!\cdots\!20\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))
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