Properties

Label 7581.2.a
Level $7581$
Weight $2$
Character orbit 7581.a
Rep. character $\chi_{7581}(1,\cdot)$
Character field $\Q$
Dimension $340$
Newform subspaces $48$
Sturm bound $2026$
Trace bound $7$

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Defining parameters

Level: \( N \) \(=\) \( 7581 = 3 \cdot 7 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7581.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 48 \)
Sturm bound: \(2026\)
Trace bound: \(7\)
Distinguishing \(T_p\): \(2\), \(5\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(7581))\).

Total New Old
Modular forms 1052 340 712
Cusp forms 973 340 633
Eisenstein series 79 0 79

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

\(3\)\(7\)\(19\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(41\)
\(+\)\(+\)\(-\)\(-\)\(45\)
\(+\)\(-\)\(+\)\(-\)\(39\)
\(+\)\(-\)\(-\)\(+\)\(45\)
\(-\)\(+\)\(+\)\(-\)\(49\)
\(-\)\(+\)\(-\)\(+\)\(36\)
\(-\)\(-\)\(+\)\(+\)\(31\)
\(-\)\(-\)\(-\)\(-\)\(54\)
Plus space\(+\)\(153\)
Minus space\(-\)\(187\)

Trace form

\( 340q - 4q^{2} + 340q^{4} - 8q^{5} + 4q^{6} - 2q^{7} - 12q^{8} + 340q^{9} + O(q^{10}) \) \( 340q - 4q^{2} + 340q^{4} - 8q^{5} + 4q^{6} - 2q^{7} - 12q^{8} + 340q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 2q^{14} + 8q^{15} + 332q^{16} - 16q^{17} - 4q^{18} + 2q^{21} + 16q^{22} + 8q^{23} + 12q^{24} + 332q^{25} + 16q^{26} - 6q^{28} - 16q^{29} - 8q^{30} + 12q^{32} + 8q^{34} + 4q^{35} + 340q^{36} - 8q^{37} - 16q^{39} + 24q^{40} - 24q^{41} - 2q^{42} - 32q^{43} + 8q^{44} - 8q^{45} + 16q^{46} + 8q^{47} + 340q^{49} + 36q^{50} + 8q^{51} + 8q^{52} + 4q^{54} + 32q^{55} - 18q^{56} + 56q^{58} - 16q^{59} + 40q^{60} + 80q^{62} - 2q^{63} + 348q^{64} - 32q^{65} + 8q^{66} + 16q^{67} + 16q^{68} + 16q^{69} + 20q^{70} + 40q^{71} - 12q^{72} - 16q^{73} + 48q^{74} - 16q^{75} + 32q^{78} + 96q^{80} + 340q^{81} + 104q^{82} + 64q^{83} + 6q^{84} + 32q^{85} + 64q^{86} + 16q^{87} + 96q^{88} - 24q^{89} - 8q^{90} + 4q^{91} + 112q^{92} + 8q^{93} + 48q^{94} + 68q^{96} + 8q^{97} - 4q^{98} - 8q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(7581))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 19
7581.2.a.a \(1\) \(60.535\) \(\Q\) None \(-1\) \(1\) \(-4\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.b \(1\) \(60.535\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
7581.2.a.c \(1\) \(60.535\) \(\Q\) None \(1\) \(-1\) \(-4\) \(-1\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.d \(1\) \(60.535\) \(\Q\) None \(1\) \(-1\) \(-2\) \(-1\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.e \(1\) \(60.535\) \(\Q\) None \(1\) \(-1\) \(4\) \(-1\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}-q^{4}+4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.f \(1\) \(60.535\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots\)
7581.2.a.g \(2\) \(60.535\) \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(3\) \(-2\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7581.2.a.h \(2\) \(60.535\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(-4\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-3+2\beta )q^{5}+\cdots\)
7581.2.a.i \(2\) \(60.535\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(-4\) \(-2\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-3+2\beta )q^{5}+\cdots\)
7581.2.a.j \(2\) \(60.535\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(3\) \(-2\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}-q^{4}+(2-\beta )q^{5}-q^{6}+\cdots\)
7581.2.a.k \(3\) \(60.535\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
7581.2.a.l \(3\) \(60.535\) 3.3.404.1 None \(-1\) \(-3\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q-\beta _{2}q^{2}-q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.m \(3\) \(60.535\) 3.3.148.1 None \(-1\) \(3\) \(2\) \(3\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.n \(3\) \(60.535\) 3.3.148.1 None \(-1\) \(3\) \(4\) \(-3\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.o \(3\) \(60.535\) 3.3.148.1 None \(1\) \(-3\) \(2\) \(3\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.p \(3\) \(60.535\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}+(2\beta _{1}-\beta _{2})q^{5}-q^{6}+\cdots\)
7581.2.a.q \(4\) \(60.535\) 4.4.6224.1 None \(-2\) \(-4\) \(6\) \(-4\) \(+\) \(+\) \(+\) \(q+(-1+\beta _{3})q^{2}-q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
7581.2.a.r \(4\) \(60.535\) 4.4.1957.1 None \(-1\) \(-4\) \(-2\) \(-4\) \(+\) \(+\) \(+\) \(q-\beta _{3}q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.s \(4\) \(60.535\) 4.4.12197.1 None \(-1\) \(-4\) \(-2\) \(4\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.t \(4\) \(60.535\) 4.4.1957.1 None \(1\) \(4\) \(-2\) \(-4\) \(-\) \(+\) \(-\) \(q+\beta _{3}q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.u \(4\) \(60.535\) 4.4.12197.1 None \(1\) \(4\) \(-2\) \(4\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.v \(4\) \(60.535\) 4.4.6224.1 None \(2\) \(4\) \(6\) \(-4\) \(-\) \(+\) \(+\) \(q+(1-\beta _{3})q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\cdots\)
7581.2.a.w \(5\) \(60.535\) 5.5.368464.1 None \(-3\) \(5\) \(4\) \(5\) \(-\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
7581.2.a.x \(5\) \(60.535\) 5.5.1240016.1 None \(-1\) \(-5\) \(-2\) \(5\) \(+\) \(-\) \(-\) \(q-\beta _{3}q^{2}-q^{3}+(1+\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
7581.2.a.y \(6\) \(60.535\) 6.6.5953625.1 None \(-3\) \(6\) \(2\) \(-6\) \(-\) \(+\) \(-\) \(q+(-1-\beta _{3})q^{2}+q^{3}+(2-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
7581.2.a.z \(6\) \(60.535\) 6.6.8512625.1 None \(-2\) \(-6\) \(-5\) \(-6\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.ba \(6\) \(60.535\) 6.6.343395288.1 None \(-1\) \(-6\) \(0\) \(-6\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
7581.2.a.bb \(6\) \(60.535\) 6.6.130040728.1 None \(-1\) \(-6\) \(4\) \(6\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)
7581.2.a.bc \(6\) \(60.535\) 6.6.343395288.1 None \(1\) \(6\) \(0\) \(-6\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
7581.2.a.bd \(6\) \(60.535\) 6.6.130040728.1 None \(1\) \(6\) \(4\) \(6\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)
7581.2.a.be \(6\) \(60.535\) 6.6.8512625.1 None \(2\) \(6\) \(-5\) \(-6\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.bf \(6\) \(60.535\) 6.6.5953625.1 None \(3\) \(-6\) \(2\) \(-6\) \(+\) \(+\) \(-\) \(q+(1+\beta _{3})q^{2}-q^{3}+(2-\beta _{1}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
7581.2.a.bg \(9\) \(60.535\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-3\) \(-9\) \(0\) \(-9\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1-\beta _{5}-\beta _{7}+\beta _{8})q^{4}+\cdots\)
7581.2.a.bh \(9\) \(60.535\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(3\) \(9\) \(0\) \(-9\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1-\beta _{5}-\beta _{7}+\beta _{8})q^{4}+\cdots\)
7581.2.a.bi \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-4\) \(12\) \(-2\) \(12\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
7581.2.a.bj \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-3\) \(-12\) \(-2\) \(12\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bk \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-1\) \(-12\) \(-2\) \(12\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
7581.2.a.bl \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-12\) \(-12\) \(12\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bm \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(12\) \(-12\) \(12\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bn \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(12\) \(-2\) \(12\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
7581.2.a.bo \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(3\) \(12\) \(-2\) \(12\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bp \(12\) \(60.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(4\) \(-12\) \(-2\) \(12\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
7581.2.a.bq \(18\) \(60.535\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(-18\) \(0\) \(-18\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
7581.2.a.br \(18\) \(60.535\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(-18\) \(12\) \(18\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{9}+\cdots)q^{5}+\cdots\)
7581.2.a.bs \(18\) \(60.535\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(18\) \(0\) \(-18\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
7581.2.a.bt \(18\) \(60.535\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(18\) \(12\) \(18\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{9}+\cdots)q^{5}+\cdots\)
7581.2.a.bu \(20\) \(60.535\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-4\) \(-20\) \(-2\) \(-20\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)
7581.2.a.bv \(20\) \(60.535\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(4\) \(20\) \(-2\) \(-20\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(7581))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(7581)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(19))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(57))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(133))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(361))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(399))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1083))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2527))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( ( 1 + T + 2 T^{2} )^{2} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( ( 1 - T + 2 T^{2} )^{2} \))(\( ( 1 + T + 2 T^{2} )^{3} \))(\( 1 + T - T^{2} - 5 T^{3} - 2 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 + T + 3 T^{2} + 3 T^{3} + 6 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 + T + 3 T^{2} + 3 T^{3} + 6 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 - T + 3 T^{2} - 3 T^{3} + 6 T^{4} - 4 T^{5} + 8 T^{6} \))(\( ( 1 - T + 2 T^{2} )^{3} \))(\( 1 + 2 T + 4 T^{2} + 4 T^{3} + 7 T^{4} + 8 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + T + 3 T^{2} + T^{3} + 3 T^{4} + 2 T^{5} + 12 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 + T + 3 T^{2} + 3 T^{3} + 5 T^{4} + 6 T^{5} + 12 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 - T + 3 T^{2} - T^{3} + 3 T^{4} - 2 T^{5} + 12 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - T + 3 T^{2} - 3 T^{3} + 5 T^{4} - 6 T^{5} + 12 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 4 T^{3} + 7 T^{4} - 8 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 + 3 T + 6 T^{2} + 10 T^{3} + 13 T^{4} + 17 T^{5} + 26 T^{6} + 40 T^{7} + 48 T^{8} + 48 T^{9} + 32 T^{10} \))(\( 1 + T + 2 T^{2} + 2 T^{3} + 5 T^{4} + 3 T^{5} + 10 T^{6} + 8 T^{7} + 16 T^{8} + 16 T^{9} + 32 T^{10} \))(\( 1 + 3 T + 5 T^{2} + 9 T^{3} + 19 T^{4} + 30 T^{5} + 41 T^{6} + 60 T^{7} + 76 T^{8} + 72 T^{9} + 80 T^{10} + 96 T^{11} + 64 T^{12} \))(\( 1 + 2 T + 4 T^{2} + 3 T^{3} + 7 T^{4} + 9 T^{5} + 23 T^{6} + 18 T^{7} + 28 T^{8} + 24 T^{9} + 64 T^{10} + 64 T^{11} + 64 T^{12} \))(\( 1 + T + 2 T^{2} - T^{5} - 3 T^{6} - 2 T^{7} + 32 T^{10} + 32 T^{11} + 64 T^{12} \))(\( 1 + T + 2 T^{2} + 2 T^{3} + 6 T^{4} + 9 T^{5} + 11 T^{6} + 18 T^{7} + 24 T^{8} + 16 T^{9} + 32 T^{10} + 32 T^{11} + 64 T^{12} \))(\( 1 - T + 2 T^{2} + T^{5} - 3 T^{6} + 2 T^{7} + 32 T^{10} - 32 T^{11} + 64 T^{12} \))(\( 1 - T + 2 T^{2} - 2 T^{3} + 6 T^{4} - 9 T^{5} + 11 T^{6} - 18 T^{7} + 24 T^{8} - 16 T^{9} + 32 T^{10} - 32 T^{11} + 64 T^{12} \))(\( 1 - 2 T + 4 T^{2} - 3 T^{3} + 7 T^{4} - 9 T^{5} + 23 T^{6} - 18 T^{7} + 28 T^{8} - 24 T^{9} + 64 T^{10} - 64 T^{11} + 64 T^{12} \))(\( 1 - 3 T + 5 T^{2} - 9 T^{3} + 19 T^{4} - 30 T^{5} + 41 T^{6} - 60 T^{7} + 76 T^{8} - 72 T^{9} + 80 T^{10} - 96 T^{11} + 64 T^{12} \))(\( 1 + 3 T + 9 T^{2} + 14 T^{3} + 24 T^{4} + 27 T^{5} + 51 T^{6} + 81 T^{7} + 168 T^{8} + 237 T^{9} + 336 T^{10} + 324 T^{11} + 408 T^{12} + 432 T^{13} + 768 T^{14} + 896 T^{15} + 1152 T^{16} + 768 T^{17} + 512 T^{18} \))(\( 1 - 3 T + 9 T^{2} - 14 T^{3} + 24 T^{4} - 27 T^{5} + 51 T^{6} - 81 T^{7} + 168 T^{8} - 237 T^{9} + 336 T^{10} - 324 T^{11} + 408 T^{12} - 432 T^{13} + 768 T^{14} - 896 T^{15} + 1152 T^{16} - 768 T^{17} + 512 T^{18} \))(\( 1 + 4 T + 18 T^{2} + 52 T^{3} + 146 T^{4} + 342 T^{5} + 757 T^{6} + 1508 T^{7} + 2837 T^{8} + 4926 T^{9} + 8129 T^{10} + 12480 T^{11} + 18285 T^{12} + 24960 T^{13} + 32516 T^{14} + 39408 T^{15} + 45392 T^{16} + 48256 T^{17} + 48448 T^{18} + 43776 T^{19} + 37376 T^{20} + 26624 T^{21} + 18432 T^{22} + 8192 T^{23} + 4096 T^{24} \))(\( 1 + 3 T + 10 T^{2} + 21 T^{3} + 44 T^{4} + 79 T^{5} + 139 T^{6} + 233 T^{7} + 383 T^{8} + 596 T^{9} + 918 T^{10} + 1318 T^{11} + 1927 T^{12} + 2636 T^{13} + 3672 T^{14} + 4768 T^{15} + 6128 T^{16} + 7456 T^{17} + 8896 T^{18} + 10112 T^{19} + 11264 T^{20} + 10752 T^{21} + 10240 T^{22} + 6144 T^{23} + 4096 T^{24} \))(\( 1 + T + 4 T^{2} + 5 T^{3} + 10 T^{4} + 7 T^{5} + 11 T^{6} + 9 T^{7} + 17 T^{8} + 30 T^{9} + 96 T^{10} + 142 T^{11} + 263 T^{12} + 284 T^{13} + 384 T^{14} + 240 T^{15} + 272 T^{16} + 288 T^{17} + 704 T^{18} + 896 T^{19} + 2560 T^{20} + 2560 T^{21} + 4096 T^{22} + 2048 T^{23} + 4096 T^{24} \))(\( 1 + 9 T^{2} + T^{3} + 48 T^{4} + 12 T^{5} + 186 T^{6} + 63 T^{7} + 573 T^{8} + 225 T^{9} + 1470 T^{10} + 585 T^{11} + 3185 T^{12} + 1170 T^{13} + 5880 T^{14} + 1800 T^{15} + 9168 T^{16} + 2016 T^{17} + 11904 T^{18} + 1536 T^{19} + 12288 T^{20} + 512 T^{21} + 9216 T^{22} + 4096 T^{24} \))(\( 1 + 9 T^{2} - T^{3} + 48 T^{4} - 12 T^{5} + 186 T^{6} - 63 T^{7} + 573 T^{8} - 225 T^{9} + 1470 T^{10} - 585 T^{11} + 3185 T^{12} - 1170 T^{13} + 5880 T^{14} - 1800 T^{15} + 9168 T^{16} - 2016 T^{17} + 11904 T^{18} - 1536 T^{19} + 12288 T^{20} - 512 T^{21} + 9216 T^{22} + 4096 T^{24} \))(\( 1 - T + 4 T^{2} - 5 T^{3} + 10 T^{4} - 7 T^{5} + 11 T^{6} - 9 T^{7} + 17 T^{8} - 30 T^{9} + 96 T^{10} - 142 T^{11} + 263 T^{12} - 284 T^{13} + 384 T^{14} - 240 T^{15} + 272 T^{16} - 288 T^{17} + 704 T^{18} - 896 T^{19} + 2560 T^{20} - 2560 T^{21} + 4096 T^{22} - 2048 T^{23} + 4096 T^{24} \))(\( 1 - 3 T + 10 T^{2} - 21 T^{3} + 44 T^{4} - 79 T^{5} + 139 T^{6} - 233 T^{7} + 383 T^{8} - 596 T^{9} + 918 T^{10} - 1318 T^{11} + 1927 T^{12} - 2636 T^{13} + 3672 T^{14} - 4768 T^{15} + 6128 T^{16} - 7456 T^{17} + 8896 T^{18} - 10112 T^{19} + 11264 T^{20} - 10752 T^{21} + 10240 T^{22} - 6144 T^{23} + 4096 T^{24} \))(\( 1 - 4 T + 18 T^{2} - 52 T^{3} + 146 T^{4} - 342 T^{5} + 757 T^{6} - 1508 T^{7} + 2837 T^{8} - 4926 T^{9} + 8129 T^{10} - 12480 T^{11} + 18285 T^{12} - 24960 T^{13} + 32516 T^{14} - 39408 T^{15} + 45392 T^{16} - 48256 T^{17} + 48448 T^{18} - 43776 T^{19} + 37376 T^{20} - 26624 T^{21} + 18432 T^{22} - 8192 T^{23} + 4096 T^{24} \))(\( 1 + 6 T^{2} + T^{3} + 18 T^{4} + 9 T^{5} + 50 T^{6} + 24 T^{7} + 132 T^{8} + 9 T^{9} + 291 T^{10} - 63 T^{11} + 558 T^{12} - 315 T^{13} + 900 T^{14} - 1204 T^{15} + 1455 T^{16} - 2895 T^{17} + 2841 T^{18} - 5790 T^{19} + 5820 T^{20} - 9632 T^{21} + 14400 T^{22} - 10080 T^{23} + 35712 T^{24} - 8064 T^{25} + 74496 T^{26} + 4608 T^{27} + 135168 T^{28} + 49152 T^{29} + 204800 T^{30} + 73728 T^{31} + 294912 T^{32} + 32768 T^{33} + 393216 T^{34} + 262144 T^{36} \))(\( 1 + 6 T^{2} + T^{3} + 24 T^{4} + 3 T^{5} + 80 T^{6} - 6 T^{7} + 234 T^{8} - 49 T^{9} + 585 T^{10} - 219 T^{11} + 1344 T^{12} - 777 T^{13} + 2982 T^{14} - 2214 T^{15} + 6177 T^{16} - 4929 T^{17} + 12395 T^{18} - 9858 T^{19} + 24708 T^{20} - 17712 T^{21} + 47712 T^{22} - 24864 T^{23} + 86016 T^{24} - 28032 T^{25} + 149760 T^{26} - 25088 T^{27} + 239616 T^{28} - 12288 T^{29} + 327680 T^{30} + 24576 T^{31} + 393216 T^{32} + 32768 T^{33} + 393216 T^{34} + 262144 T^{36} \))(\( 1 + 6 T^{2} - T^{3} + 18 T^{4} - 9 T^{5} + 50 T^{6} - 24 T^{7} + 132 T^{8} - 9 T^{9} + 291 T^{10} + 63 T^{11} + 558 T^{12} + 315 T^{13} + 900 T^{14} + 1204 T^{15} + 1455 T^{16} + 2895 T^{17} + 2841 T^{18} + 5790 T^{19} + 5820 T^{20} + 9632 T^{21} + 14400 T^{22} + 10080 T^{23} + 35712 T^{24} + 8064 T^{25} + 74496 T^{26} - 4608 T^{27} + 135168 T^{28} - 49152 T^{29} + 204800 T^{30} - 73728 T^{31} + 294912 T^{32} - 32768 T^{33} + 393216 T^{34} + 262144 T^{36} \))(\( 1 + 6 T^{2} - T^{3} + 24 T^{4} - 3 T^{5} + 80 T^{6} + 6 T^{7} + 234 T^{8} + 49 T^{9} + 585 T^{10} + 219 T^{11} + 1344 T^{12} + 777 T^{13} + 2982 T^{14} + 2214 T^{15} + 6177 T^{16} + 4929 T^{17} + 12395 T^{18} + 9858 T^{19} + 24708 T^{20} + 17712 T^{21} + 47712 T^{22} + 24864 T^{23} + 86016 T^{24} + 28032 T^{25} + 149760 T^{26} + 25088 T^{27} + 239616 T^{28} + 12288 T^{29} + 327680 T^{30} - 24576 T^{31} + 393216 T^{32} - 32768 T^{33} + 393216 T^{34} + 262144 T^{36} \))(\( 1 + 4 T + 17 T^{2} + 48 T^{3} + 137 T^{4} + 326 T^{5} + 764 T^{6} + 1614 T^{7} + 3337 T^{8} + 6440 T^{9} + 12145 T^{10} + 21792 T^{11} + 38270 T^{12} + 64592 T^{13} + 106884 T^{14} + 170994 T^{15} + 268793 T^{16} + 409694 T^{17} + 614500 T^{18} + 895184 T^{19} + 1284385 T^{20} + 1790368 T^{21} + 2458000 T^{22} + 3277552 T^{23} + 4300688 T^{24} + 5471808 T^{25} + 6840576 T^{26} + 8267776 T^{27} + 9797120 T^{28} + 11157504 T^{29} + 12436480 T^{30} + 13189120 T^{31} + 13668352 T^{32} + 13221888 T^{33} + 12517376 T^{34} + 10682368 T^{35} + 8978432 T^{36} + 6291456 T^{37} + 4456448 T^{38} + 2097152 T^{39} + 1048576 T^{40} \))(\( 1 - 4 T + 17 T^{2} - 48 T^{3} + 137 T^{4} - 326 T^{5} + 764 T^{6} - 1614 T^{7} + 3337 T^{8} - 6440 T^{9} + 12145 T^{10} - 21792 T^{11} + 38270 T^{12} - 64592 T^{13} + 106884 T^{14} - 170994 T^{15} + 268793 T^{16} - 409694 T^{17} + 614500 T^{18} - 895184 T^{19} + 1284385 T^{20} - 1790368 T^{21} + 2458000 T^{22} - 3277552 T^{23} + 4300688 T^{24} - 5471808 T^{25} + 6840576 T^{26} - 8267776 T^{27} + 9797120 T^{28} - 11157504 T^{29} + 12436480 T^{30} - 13189120 T^{31} + 13668352 T^{32} - 13221888 T^{33} + 12517376 T^{34} - 10682368 T^{35} + 8978432 T^{36} - 6291456 T^{37} + 4456448 T^{38} - 2097152 T^{39} + 1048576 T^{40} \))
$3$ (\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{18} \))(\( ( 1 + T )^{18} \))(\( ( 1 - T )^{18} \))(\( ( 1 - T )^{18} \))(\( ( 1 + T )^{20} \))(\( ( 1 - T )^{20} \))
$5$ (\( 1 + 4 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 3 T + 11 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 9 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 9 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 11 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 + 6 T^{2} + 9 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 + 7 T^{2} - 4 T^{3} + 35 T^{4} + 125 T^{6} \))(\( 1 - 2 T + 11 T^{2} - 16 T^{3} + 55 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 - 4 T + 15 T^{2} - 36 T^{3} + 75 T^{4} - 100 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 11 T^{2} - 16 T^{3} + 55 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 + 6 T^{2} + 9 T^{3} + 30 T^{4} + 125 T^{6} \))(\( 1 - 6 T + 24 T^{2} - 66 T^{3} + 162 T^{4} - 330 T^{5} + 600 T^{6} - 750 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + T^{3} + 21 T^{4} + 5 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 10 T^{2} + T^{3} + 31 T^{4} + 5 T^{5} + 250 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + T^{3} + 21 T^{4} + 5 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 10 T^{2} + T^{3} + 31 T^{4} + 5 T^{5} + 250 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 - 6 T + 24 T^{2} - 66 T^{3} + 162 T^{4} - 330 T^{5} + 600 T^{6} - 750 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 13 T^{2} - 32 T^{3} + 74 T^{4} - 128 T^{5} + 370 T^{6} - 800 T^{7} + 1625 T^{8} - 2500 T^{9} + 3125 T^{10} \))(\( 1 + 2 T + 9 T^{2} + 32 T^{3} + 78 T^{4} + 172 T^{5} + 390 T^{6} + 800 T^{7} + 1125 T^{8} + 1250 T^{9} + 3125 T^{10} \))(\( 1 - 2 T + 20 T^{2} - 39 T^{3} + 204 T^{4} - 330 T^{5} + 1285 T^{6} - 1650 T^{7} + 5100 T^{8} - 4875 T^{9} + 12500 T^{10} - 6250 T^{11} + 15625 T^{12} \))(\( 1 + 5 T + 29 T^{2} + 92 T^{3} + 324 T^{4} + 789 T^{5} + 2081 T^{6} + 3945 T^{7} + 8100 T^{8} + 11500 T^{9} + 18125 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 + 7 T^{2} + 13 T^{3} + 38 T^{4} + 62 T^{5} + 257 T^{6} + 310 T^{7} + 950 T^{8} + 1625 T^{9} + 4375 T^{10} + 15625 T^{12} \))(\( 1 - 4 T + 21 T^{2} - 67 T^{3} + 226 T^{4} - 558 T^{5} + 1439 T^{6} - 2790 T^{7} + 5650 T^{8} - 8375 T^{9} + 13125 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 7 T^{2} + 13 T^{3} + 38 T^{4} + 62 T^{5} + 257 T^{6} + 310 T^{7} + 950 T^{8} + 1625 T^{9} + 4375 T^{10} + 15625 T^{12} \))(\( 1 - 4 T + 21 T^{2} - 67 T^{3} + 226 T^{4} - 558 T^{5} + 1439 T^{6} - 2790 T^{7} + 5650 T^{8} - 8375 T^{9} + 13125 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 5 T + 29 T^{2} + 92 T^{3} + 324 T^{4} + 789 T^{5} + 2081 T^{6} + 3945 T^{7} + 8100 T^{8} + 11500 T^{9} + 18125 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 - 2 T + 20 T^{2} - 39 T^{3} + 204 T^{4} - 330 T^{5} + 1285 T^{6} - 1650 T^{7} + 5100 T^{8} - 4875 T^{9} + 12500 T^{10} - 6250 T^{11} + 15625 T^{12} \))(\( 1 + 27 T^{2} + 2 T^{3} + 369 T^{4} + 42 T^{5} + 3342 T^{6} + 414 T^{7} + 22089 T^{8} + 2532 T^{9} + 110445 T^{10} + 10350 T^{11} + 417750 T^{12} + 26250 T^{13} + 1153125 T^{14} + 31250 T^{15} + 2109375 T^{16} + 1953125 T^{18} \))(\( 1 + 27 T^{2} + 2 T^{3} + 369 T^{4} + 42 T^{5} + 3342 T^{6} + 414 T^{7} + 22089 T^{8} + 2532 T^{9} + 110445 T^{10} + 10350 T^{11} + 417750 T^{12} + 26250 T^{13} + 1153125 T^{14} + 31250 T^{15} + 2109375 T^{16} + 1953125 T^{18} \))(\( 1 + 2 T + 43 T^{2} + 80 T^{3} + 889 T^{4} + 1524 T^{5} + 11774 T^{6} + 18458 T^{7} + 111936 T^{8} + 159348 T^{9} + 808179 T^{10} + 1035216 T^{11} + 4554741 T^{12} + 5176080 T^{13} + 20204475 T^{14} + 19918500 T^{15} + 69960000 T^{16} + 57681250 T^{17} + 183968750 T^{18} + 119062500 T^{19} + 347265625 T^{20} + 156250000 T^{21} + 419921875 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 25 T^{2} + 55 T^{3} + 337 T^{4} + 717 T^{5} + 3257 T^{6} + 6373 T^{7} + 24792 T^{8} + 44921 T^{9} + 156382 T^{10} + 265244 T^{11} + 842044 T^{12} + 1326220 T^{13} + 3909550 T^{14} + 5615125 T^{15} + 15495000 T^{16} + 19915625 T^{17} + 50890625 T^{18} + 56015625 T^{19} + 131640625 T^{20} + 107421875 T^{21} + 244140625 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 17 T^{2} + 37 T^{3} + 173 T^{4} + 415 T^{5} + 1367 T^{6} + 3061 T^{7} + 8968 T^{8} + 19201 T^{9} + 52424 T^{10} + 106220 T^{11} + 268740 T^{12} + 531100 T^{13} + 1310600 T^{14} + 2400125 T^{15} + 5605000 T^{16} + 9565625 T^{17} + 21359375 T^{18} + 32421875 T^{19} + 67578125 T^{20} + 72265625 T^{21} + 166015625 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 12 T + 99 T^{2} + 605 T^{3} + 3087 T^{4} + 13461 T^{5} + 52087 T^{6} + 180807 T^{7} + 572784 T^{8} + 1664338 T^{9} + 4475466 T^{10} + 11151957 T^{11} + 25865968 T^{12} + 55759785 T^{13} + 111886650 T^{14} + 208042250 T^{15} + 357990000 T^{16} + 565021875 T^{17} + 813859375 T^{18} + 1051640625 T^{19} + 1205859375 T^{20} + 1181640625 T^{21} + 966796875 T^{22} + 585937500 T^{23} + 244140625 T^{24} \))(\( 1 + 12 T + 99 T^{2} + 605 T^{3} + 3087 T^{4} + 13461 T^{5} + 52087 T^{6} + 180807 T^{7} + 572784 T^{8} + 1664338 T^{9} + 4475466 T^{10} + 11151957 T^{11} + 25865968 T^{12} + 55759785 T^{13} + 111886650 T^{14} + 208042250 T^{15} + 357990000 T^{16} + 565021875 T^{17} + 813859375 T^{18} + 1051640625 T^{19} + 1205859375 T^{20} + 1181640625 T^{21} + 966796875 T^{22} + 585937500 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 17 T^{2} + 37 T^{3} + 173 T^{4} + 415 T^{5} + 1367 T^{6} + 3061 T^{7} + 8968 T^{8} + 19201 T^{9} + 52424 T^{10} + 106220 T^{11} + 268740 T^{12} + 531100 T^{13} + 1310600 T^{14} + 2400125 T^{15} + 5605000 T^{16} + 9565625 T^{17} + 21359375 T^{18} + 32421875 T^{19} + 67578125 T^{20} + 72265625 T^{21} + 166015625 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 25 T^{2} + 55 T^{3} + 337 T^{4} + 717 T^{5} + 3257 T^{6} + 6373 T^{7} + 24792 T^{8} + 44921 T^{9} + 156382 T^{10} + 265244 T^{11} + 842044 T^{12} + 1326220 T^{13} + 3909550 T^{14} + 5615125 T^{15} + 15495000 T^{16} + 19915625 T^{17} + 50890625 T^{18} + 56015625 T^{19} + 131640625 T^{20} + 107421875 T^{21} + 244140625 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 43 T^{2} + 80 T^{3} + 889 T^{4} + 1524 T^{5} + 11774 T^{6} + 18458 T^{7} + 111936 T^{8} + 159348 T^{9} + 808179 T^{10} + 1035216 T^{11} + 4554741 T^{12} + 5176080 T^{13} + 20204475 T^{14} + 19918500 T^{15} + 69960000 T^{16} + 57681250 T^{17} + 183968750 T^{18} + 119062500 T^{19} + 347265625 T^{20} + 156250000 T^{21} + 419921875 T^{22} + 97656250 T^{23} + 244140625 T^{24} \))(\( 1 + 33 T^{2} - 3 T^{3} + 579 T^{4} - 99 T^{5} + 6808 T^{6} - 2019 T^{7} + 58713 T^{8} - 30533 T^{9} + 384087 T^{10} - 360684 T^{11} + 1918004 T^{12} - 3391248 T^{13} + 7192401 T^{14} - 25672399 T^{15} + 20647059 T^{16} - 157635915 T^{17} + 68546414 T^{18} - 788179575 T^{19} + 516176475 T^{20} - 3209049875 T^{21} + 4495250625 T^{22} - 10597650000 T^{23} + 29968812500 T^{24} - 28178437500 T^{25} + 150033984375 T^{26} - 59634765625 T^{27} + 573369140625 T^{28} - 98583984375 T^{29} + 1662109375000 T^{30} - 120849609375 T^{31} + 3533935546875 T^{32} - 91552734375 T^{33} + 5035400390625 T^{34} + 3814697265625 T^{36} \))(\( 1 - 12 T + 99 T^{2} - 613 T^{3} + 3237 T^{4} - 14907 T^{5} + 62286 T^{6} - 238359 T^{7} + 850671 T^{8} - 2846233 T^{9} + 9018549 T^{10} - 27143700 T^{11} + 78072730 T^{12} - 214939584 T^{13} + 568538031 T^{14} - 1445693565 T^{15} + 3542242377 T^{16} - 8361584271 T^{17} + 19042626014 T^{18} - 41807921355 T^{19} + 88556059425 T^{20} - 180711695625 T^{21} + 355336269375 T^{22} - 671686200000 T^{23} + 1219886406250 T^{24} - 2120601562500 T^{25} + 3522870703125 T^{26} - 5559048828125 T^{27} + 8307333984375 T^{28} - 11638623046875 T^{29} + 15206542968750 T^{30} - 18197021484375 T^{31} + 19757080078125 T^{32} - 18707275390625 T^{33} + 15106201171875 T^{34} - 9155273437500 T^{35} + 3814697265625 T^{36} \))(\( 1 + 33 T^{2} - 3 T^{3} + 579 T^{4} - 99 T^{5} + 6808 T^{6} - 2019 T^{7} + 58713 T^{8} - 30533 T^{9} + 384087 T^{10} - 360684 T^{11} + 1918004 T^{12} - 3391248 T^{13} + 7192401 T^{14} - 25672399 T^{15} + 20647059 T^{16} - 157635915 T^{17} + 68546414 T^{18} - 788179575 T^{19} + 516176475 T^{20} - 3209049875 T^{21} + 4495250625 T^{22} - 10597650000 T^{23} + 29968812500 T^{24} - 28178437500 T^{25} + 150033984375 T^{26} - 59634765625 T^{27} + 573369140625 T^{28} - 98583984375 T^{29} + 1662109375000 T^{30} - 120849609375 T^{31} + 3533935546875 T^{32} - 91552734375 T^{33} + 5035400390625 T^{34} + 3814697265625 T^{36} \))(\( 1 - 12 T + 99 T^{2} - 613 T^{3} + 3237 T^{4} - 14907 T^{5} + 62286 T^{6} - 238359 T^{7} + 850671 T^{8} - 2846233 T^{9} + 9018549 T^{10} - 27143700 T^{11} + 78072730 T^{12} - 214939584 T^{13} + 568538031 T^{14} - 1445693565 T^{15} + 3542242377 T^{16} - 8361584271 T^{17} + 19042626014 T^{18} - 41807921355 T^{19} + 88556059425 T^{20} - 180711695625 T^{21} + 355336269375 T^{22} - 671686200000 T^{23} + 1219886406250 T^{24} - 2120601562500 T^{25} + 3522870703125 T^{26} - 5559048828125 T^{27} + 8307333984375 T^{28} - 11638623046875 T^{29} + 15206542968750 T^{30} - 18197021484375 T^{31} + 19757080078125 T^{32} - 18707275390625 T^{33} + 15106201171875 T^{34} - 9155273437500 T^{35} + 3814697265625 T^{36} \))(\( 1 + 2 T + 39 T^{2} + 68 T^{3} + 733 T^{4} + 1160 T^{5} + 8882 T^{6} + 12978 T^{7} + 77678 T^{8} + 103232 T^{9} + 518353 T^{10} + 581736 T^{11} + 2717879 T^{12} + 1993108 T^{13} + 11342231 T^{14} - 601860 T^{15} + 37901205 T^{16} - 64551416 T^{17} + 107475831 T^{18} - 527002856 T^{19} + 378160176 T^{20} - 2635014280 T^{21} + 2686895775 T^{22} - 8068927000 T^{23} + 23688253125 T^{24} - 1880812500 T^{25} + 177222359375 T^{26} + 155711562500 T^{27} + 1061671484375 T^{28} + 1136203125000 T^{29} + 5062041015625 T^{30} + 5040625000000 T^{31} + 18964355468750 T^{32} + 15842285156250 T^{33} + 54211425781250 T^{34} + 35400390625000 T^{35} + 111846923828125 T^{36} + 51879882812500 T^{37} + 148773193359375 T^{38} + 38146972656250 T^{39} + 95367431640625 T^{40} \))(\( 1 + 2 T + 39 T^{2} + 68 T^{3} + 733 T^{4} + 1160 T^{5} + 8882 T^{6} + 12978 T^{7} + 77678 T^{8} + 103232 T^{9} + 518353 T^{10} + 581736 T^{11} + 2717879 T^{12} + 1993108 T^{13} + 11342231 T^{14} - 601860 T^{15} + 37901205 T^{16} - 64551416 T^{17} + 107475831 T^{18} - 527002856 T^{19} + 378160176 T^{20} - 2635014280 T^{21} + 2686895775 T^{22} - 8068927000 T^{23} + 23688253125 T^{24} - 1880812500 T^{25} + 177222359375 T^{26} + 155711562500 T^{27} + 1061671484375 T^{28} + 1136203125000 T^{29} + 5062041015625 T^{30} + 5040625000000 T^{31} + 18964355468750 T^{32} + 15842285156250 T^{33} + 54211425781250 T^{34} + 35400390625000 T^{35} + 111846923828125 T^{36} + 51879882812500 T^{37} + 148773193359375 T^{38} + 38146972656250 T^{39} + 95367431640625 T^{40} \))
$7$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{18} \))(\( ( 1 - T )^{18} \))(\( ( 1 + T )^{18} \))(\( ( 1 - T )^{18} \))(\( ( 1 + T )^{20} \))(\( ( 1 + T )^{20} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 6 T + 26 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 26 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 26 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 26 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 36 T^{2} + 131 T^{3} + 396 T^{4} + 726 T^{5} + 1331 T^{6} \))(\( 1 - 4 T + 17 T^{2} - 40 T^{3} + 187 T^{4} - 484 T^{5} + 1331 T^{6} \))(\( 1 + 17 T^{2} - 16 T^{3} + 187 T^{4} + 1331 T^{6} \))(\( 1 + 17 T^{2} - 16 T^{3} + 187 T^{4} + 1331 T^{6} \))(\( 1 + 17 T^{2} - 16 T^{3} + 187 T^{4} + 1331 T^{6} \))(\( 1 + 6 T + 36 T^{2} + 131 T^{3} + 396 T^{4} + 726 T^{5} + 1331 T^{6} \))(\( 1 + 4 T + 28 T^{2} + 116 T^{3} + 406 T^{4} + 1276 T^{5} + 3388 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 8 T + 55 T^{2} + 222 T^{3} + 879 T^{4} + 2442 T^{5} + 6655 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 27 T^{2} + 44 T^{3} + 413 T^{4} + 484 T^{5} + 3267 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 8 T + 55 T^{2} + 222 T^{3} + 879 T^{4} + 2442 T^{5} + 6655 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 27 T^{2} + 44 T^{3} + 413 T^{4} + 484 T^{5} + 3267 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 28 T^{2} + 116 T^{3} + 406 T^{4} + 1276 T^{5} + 3388 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 - 8 T + 23 T^{2} - 48 T^{3} + 378 T^{4} - 1936 T^{5} + 4158 T^{6} - 5808 T^{7} + 30613 T^{8} - 117128 T^{9} + 161051 T^{10} \))(\( 1 + 2 T + 23 T^{2} + 72 T^{3} + 410 T^{4} + 908 T^{5} + 4510 T^{6} + 8712 T^{7} + 30613 T^{8} + 29282 T^{9} + 161051 T^{10} \))(\( 1 - 2 T + 46 T^{2} - 37 T^{3} + 852 T^{4} + 23 T^{5} + 10270 T^{6} + 253 T^{7} + 103092 T^{8} - 49247 T^{9} + 673486 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 + 2 T + 30 T^{2} + 39 T^{3} + 398 T^{4} + 131 T^{5} + 4162 T^{6} + 1441 T^{7} + 48158 T^{8} + 51909 T^{9} + 439230 T^{10} + 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T + 38 T^{2} - 140 T^{3} + 749 T^{4} - 2322 T^{5} + 9845 T^{6} - 25542 T^{7} + 90629 T^{8} - 186340 T^{9} + 556358 T^{10} - 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 42 T^{2} - 192 T^{3} + 931 T^{4} - 3352 T^{5} + 12883 T^{6} - 36872 T^{7} + 112651 T^{8} - 255552 T^{9} + 614922 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T + 38 T^{2} - 140 T^{3} + 749 T^{4} - 2322 T^{5} + 9845 T^{6} - 25542 T^{7} + 90629 T^{8} - 186340 T^{9} + 556358 T^{10} - 644204 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 42 T^{2} - 192 T^{3} + 931 T^{4} - 3352 T^{5} + 12883 T^{6} - 36872 T^{7} + 112651 T^{8} - 255552 T^{9} + 614922 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 2 T + 30 T^{2} + 39 T^{3} + 398 T^{4} + 131 T^{5} + 4162 T^{6} + 1441 T^{7} + 48158 T^{8} + 51909 T^{9} + 439230 T^{10} + 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 2 T + 46 T^{2} - 37 T^{3} + 852 T^{4} + 23 T^{5} + 10270 T^{6} + 253 T^{7} + 103092 T^{8} - 49247 T^{9} + 673486 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 + 12 T + 126 T^{2} + 915 T^{3} + 5832 T^{4} + 31044 T^{5} + 148520 T^{6} + 626874 T^{7} + 2415696 T^{8} + 8362979 T^{9} + 26572656 T^{10} + 75851754 T^{11} + 197680120 T^{12} + 454515204 T^{13} + 939249432 T^{14} + 1620978315 T^{15} + 2455383546 T^{16} + 2572306572 T^{17} + 2357947691 T^{18} \))(\( 1 + 12 T + 126 T^{2} + 915 T^{3} + 5832 T^{4} + 31044 T^{5} + 148520 T^{6} + 626874 T^{7} + 2415696 T^{8} + 8362979 T^{9} + 26572656 T^{10} + 75851754 T^{11} + 197680120 T^{12} + 454515204 T^{13} + 939249432 T^{14} + 1620978315 T^{15} + 2455383546 T^{16} + 2572306572 T^{17} + 2357947691 T^{18} \))(\( 1 + 88 T^{2} - 14 T^{3} + 3762 T^{4} - 794 T^{5} + 104205 T^{6} - 20632 T^{7} + 2096194 T^{8} - 338324 T^{9} + 32460375 T^{10} - 4236320 T^{11} + 398885918 T^{12} - 46599520 T^{13} + 3927705375 T^{14} - 450309244 T^{15} + 30690376354 T^{16} - 3322804232 T^{17} + 184605514005 T^{18} - 15472813774 T^{19} + 806418110322 T^{20} - 33011267674 T^{21} + 2282493364888 T^{22} + 3138428376721 T^{24} \))(\( 1 + 55 T^{2} + 31 T^{3} + 1638 T^{4} + 1850 T^{5} + 34542 T^{6} + 52414 T^{7} + 580764 T^{8} + 982700 T^{9} + 8197867 T^{10} + 13679249 T^{11} + 97941338 T^{12} + 150471739 T^{13} + 991941907 T^{14} + 1307973700 T^{15} + 8502965724 T^{16} + 8441327114 T^{17} + 61193260062 T^{18} + 36051266350 T^{19} + 351119847078 T^{20} + 73096378421 T^{21} + 1426558353055 T^{22} + 3138428376721 T^{24} \))(\( 1 + 8 T + 87 T^{2} + 499 T^{3} + 3384 T^{4} + 15974 T^{5} + 85464 T^{6} + 351398 T^{7} + 1604690 T^{8} + 5901152 T^{9} + 23874025 T^{10} + 79494493 T^{11} + 289784346 T^{12} + 874439423 T^{13} + 2888757025 T^{14} + 7854433312 T^{15} + 23494266290 T^{16} + 56592999298 T^{17} + 151404689304 T^{18} + 311288069554 T^{19} + 725390453304 T^{20} + 1176615897809 T^{21} + 2256555940287 T^{22} + 2282493364888 T^{23} + 3138428376721 T^{24} \))(\( 1 + 18 T + 222 T^{2} + 2030 T^{3} + 15354 T^{4} + 98910 T^{5} + 561078 T^{6} + 2845896 T^{7} + 13120404 T^{8} + 55526012 T^{9} + 217800984 T^{10} + 796533804 T^{11} + 2728441211 T^{12} + 8761871844 T^{13} + 26353919064 T^{14} + 73905121972 T^{15} + 192095834964 T^{16} + 458334396696 T^{17} + 993983902758 T^{18} + 1927476083610 T^{19} + 3291266258874 T^{20} + 4786633812730 T^{21} + 5758108261422 T^{22} + 5135610070998 T^{23} + 3138428376721 T^{24} \))(\( 1 + 18 T + 222 T^{2} + 2030 T^{3} + 15354 T^{4} + 98910 T^{5} + 561078 T^{6} + 2845896 T^{7} + 13120404 T^{8} + 55526012 T^{9} + 217800984 T^{10} + 796533804 T^{11} + 2728441211 T^{12} + 8761871844 T^{13} + 26353919064 T^{14} + 73905121972 T^{15} + 192095834964 T^{16} + 458334396696 T^{17} + 993983902758 T^{18} + 1927476083610 T^{19} + 3291266258874 T^{20} + 4786633812730 T^{21} + 5758108261422 T^{22} + 5135610070998 T^{23} + 3138428376721 T^{24} \))(\( 1 + 8 T + 87 T^{2} + 499 T^{3} + 3384 T^{4} + 15974 T^{5} + 85464 T^{6} + 351398 T^{7} + 1604690 T^{8} + 5901152 T^{9} + 23874025 T^{10} + 79494493 T^{11} + 289784346 T^{12} + 874439423 T^{13} + 2888757025 T^{14} + 7854433312 T^{15} + 23494266290 T^{16} + 56592999298 T^{17} + 151404689304 T^{18} + 311288069554 T^{19} + 725390453304 T^{20} + 1176615897809 T^{21} + 2256555940287 T^{22} + 2282493364888 T^{23} + 3138428376721 T^{24} \))(\( 1 + 55 T^{2} + 31 T^{3} + 1638 T^{4} + 1850 T^{5} + 34542 T^{6} + 52414 T^{7} + 580764 T^{8} + 982700 T^{9} + 8197867 T^{10} + 13679249 T^{11} + 97941338 T^{12} + 150471739 T^{13} + 991941907 T^{14} + 1307973700 T^{15} + 8502965724 T^{16} + 8441327114 T^{17} + 61193260062 T^{18} + 36051266350 T^{19} + 351119847078 T^{20} + 73096378421 T^{21} + 1426558353055 T^{22} + 3138428376721 T^{24} \))(\( 1 + 88 T^{2} - 14 T^{3} + 3762 T^{4} - 794 T^{5} + 104205 T^{6} - 20632 T^{7} + 2096194 T^{8} - 338324 T^{9} + 32460375 T^{10} - 4236320 T^{11} + 398885918 T^{12} - 46599520 T^{13} + 3927705375 T^{14} - 450309244 T^{15} + 30690376354 T^{16} - 3322804232 T^{17} + 184605514005 T^{18} - 15472813774 T^{19} + 806418110322 T^{20} - 33011267674 T^{21} + 2282493364888 T^{22} + 3138428376721 T^{24} \))(\( 1 - 18 T + 228 T^{2} - 2122 T^{3} + 16944 T^{4} - 116952 T^{5} + 734531 T^{6} - 4200858 T^{7} + 22425720 T^{8} - 111683780 T^{9} + 526694934 T^{10} - 2349735600 T^{11} + 10018388456 T^{12} - 40765314090 T^{13} + 159504988122 T^{14} - 599039501058 T^{15} + 2172007814190 T^{16} - 7584250117020 T^{17} + 25618254876953 T^{18} - 83426751287220 T^{19} + 262812945516990 T^{20} - 797321575908198 T^{21} + 2335312531094202 T^{22} - 6565294599508590 T^{23} + 17748186271499816 T^{24} - 45789699441987600 T^{25} + 112901736680608854 T^{26} - 263344511173151980 T^{27} + 581665421623137720 T^{28} - 1198553813979584238 T^{29} + 2305272933981252851 T^{30} - 4037500230657018312 T^{31} + 6434481180234435504 T^{32} - 8864120615500011422 T^{33} + 10476538408894452708 T^{34} - 9098046512987287878 T^{35} + 5559917313492231481 T^{36} \))(\( 1 - 18 T + 264 T^{2} - 2742 T^{3} + 24600 T^{4} - 185334 T^{5} + 1245897 T^{6} - 7412088 T^{7} + 40035588 T^{8} - 195550296 T^{9} + 874588782 T^{10} - 3568153296 T^{11} + 13369517356 T^{12} - 45831564330 T^{13} + 144829357590 T^{14} - 423665412142 T^{15} + 1184262991674 T^{16} - 3328462721874 T^{17} + 10316508882259 T^{18} - 36613089940614 T^{19} + 143295821992554 T^{20} - 563898663561002 T^{21} + 2120446624475190 T^{22} - 7381219266910830 T^{23} + 23684915536712716 T^{24} - 69533213433365616 T^{25} + 187475872644672942 T^{26} - 461097368927566536 T^{27} + 1038420045106700388 T^{28} - 2114755209995745768 T^{29} + 3910158499271563737 T^{30} - 6398232332483307954 T^{31} + 9341845906147728600 T^{32} - 11454014480537715042 T^{33} + 12130728683983050504 T^{34} - 9098046512987287878 T^{35} + 5559917313492231481 T^{36} \))(\( 1 - 18 T + 228 T^{2} - 2122 T^{3} + 16944 T^{4} - 116952 T^{5} + 734531 T^{6} - 4200858 T^{7} + 22425720 T^{8} - 111683780 T^{9} + 526694934 T^{10} - 2349735600 T^{11} + 10018388456 T^{12} - 40765314090 T^{13} + 159504988122 T^{14} - 599039501058 T^{15} + 2172007814190 T^{16} - 7584250117020 T^{17} + 25618254876953 T^{18} - 83426751287220 T^{19} + 262812945516990 T^{20} - 797321575908198 T^{21} + 2335312531094202 T^{22} - 6565294599508590 T^{23} + 17748186271499816 T^{24} - 45789699441987600 T^{25} + 112901736680608854 T^{26} - 263344511173151980 T^{27} + 581665421623137720 T^{28} - 1198553813979584238 T^{29} + 2305272933981252851 T^{30} - 4037500230657018312 T^{31} + 6434481180234435504 T^{32} - 8864120615500011422 T^{33} + 10476538408894452708 T^{34} - 9098046512987287878 T^{35} + 5559917313492231481 T^{36} \))(\( 1 - 18 T + 264 T^{2} - 2742 T^{3} + 24600 T^{4} - 185334 T^{5} + 1245897 T^{6} - 7412088 T^{7} + 40035588 T^{8} - 195550296 T^{9} + 874588782 T^{10} - 3568153296 T^{11} + 13369517356 T^{12} - 45831564330 T^{13} + 144829357590 T^{14} - 423665412142 T^{15} + 1184262991674 T^{16} - 3328462721874 T^{17} + 10316508882259 T^{18} - 36613089940614 T^{19} + 143295821992554 T^{20} - 563898663561002 T^{21} + 2120446624475190 T^{22} - 7381219266910830 T^{23} + 23684915536712716 T^{24} - 69533213433365616 T^{25} + 187475872644672942 T^{26} - 461097368927566536 T^{27} + 1038420045106700388 T^{28} - 2114755209995745768 T^{29} + 3910158499271563737 T^{30} - 6398232332483307954 T^{31} + 9341845906147728600 T^{32} - 11454014480537715042 T^{33} + 12130728683983050504 T^{34} - 9098046512987287878 T^{35} + 5559917313492231481 T^{36} \))(\( 1 - 8 T + 134 T^{2} - 854 T^{3} + 8245 T^{4} - 43582 T^{5} + 314397 T^{6} - 1414646 T^{7} + 8451995 T^{8} - 33019282 T^{9} + 173894250 T^{10} - 602051342 T^{11} + 2937306347 T^{12} - 9254751262 T^{13} + 43516390635 T^{14} - 128550572454 T^{15} + 592782649867 T^{16} - 1673345931030 T^{17} + 7500054525244 T^{18} - 20243788375500 T^{19} + 86742154412346 T^{20} - 222681672130500 T^{21} + 907506597554524 T^{22} - 2227223434200930 T^{23} + 8678930776702747 T^{24} - 20703198244289154 T^{25} + 77091940509731235 T^{26} - 180348920405059802 T^{27} + 629637701697117707 T^{28} - 1419605571732351322 T^{29} + 4510368997922444250 T^{30} - 9420786509795721302 T^{31} + 26525980947904008395 T^{32} - 48837416643563413426 T^{33} + \)\(11\!\cdots\!77\)\( T^{34} - \)\(18\!\cdots\!82\)\( T^{35} + \)\(37\!\cdots\!45\)\( T^{36} - \)\(43\!\cdots\!34\)\( T^{37} + \)\(74\!\cdots\!54\)\( T^{38} - \)\(48\!\cdots\!28\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))(\( 1 - 8 T + 134 T^{2} - 854 T^{3} + 8245 T^{4} - 43582 T^{5} + 314397 T^{6} - 1414646 T^{7} + 8451995 T^{8} - 33019282 T^{9} + 173894250 T^{10} - 602051342 T^{11} + 2937306347 T^{12} - 9254751262 T^{13} + 43516390635 T^{14} - 128550572454 T^{15} + 592782649867 T^{16} - 1673345931030 T^{17} + 7500054525244 T^{18} - 20243788375500 T^{19} + 86742154412346 T^{20} - 222681672130500 T^{21} + 907506597554524 T^{22} - 2227223434200930 T^{23} + 8678930776702747 T^{24} - 20703198244289154 T^{25} + 77091940509731235 T^{26} - 180348920405059802 T^{27} + 629637701697117707 T^{28} - 1419605571732351322 T^{29} + 4510368997922444250 T^{30} - 9420786509795721302 T^{31} + 26525980947904008395 T^{32} - 48837416643563413426 T^{33} + \)\(11\!\cdots\!77\)\( T^{34} - \)\(18\!\cdots\!82\)\( T^{35} + \)\(37\!\cdots\!45\)\( T^{36} - \)\(43\!\cdots\!34\)\( T^{37} + \)\(74\!\cdots\!54\)\( T^{38} - \)\(48\!\cdots\!28\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 3 T - 3 T^{2} - 39 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 + 3 T - 3 T^{2} + 39 T^{3} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{3} \))(\( 1 + 2 T + 19 T^{2} + 60 T^{3} + 247 T^{4} + 338 T^{5} + 2197 T^{6} \))(\( 1 + 6 T + 35 T^{2} + 148 T^{3} + 455 T^{4} + 1014 T^{5} + 2197 T^{6} \))(\( 1 + 6 T + 35 T^{2} + 148 T^{3} + 455 T^{4} + 1014 T^{5} + 2197 T^{6} \))(\( 1 - 6 T + 35 T^{2} - 148 T^{3} + 455 T^{4} - 1014 T^{5} + 2197 T^{6} \))(\( ( 1 - 2 T + 13 T^{2} )^{3} \))(\( 1 - 8 T + 52 T^{2} - 232 T^{3} + 982 T^{4} - 3016 T^{5} + 8788 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 2 T + 36 T^{2} - 44 T^{3} + 597 T^{4} - 572 T^{5} + 6084 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 44 T^{2} - 180 T^{3} + 781 T^{4} - 2340 T^{5} + 7436 T^{6} - 13182 T^{7} + 28561 T^{8} \))(\( 1 + 2 T + 36 T^{2} + 44 T^{3} + 597 T^{4} + 572 T^{5} + 6084 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 + 6 T + 44 T^{2} + 180 T^{3} + 781 T^{4} + 2340 T^{5} + 7436 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 + 8 T + 52 T^{2} + 232 T^{3} + 982 T^{4} + 3016 T^{5} + 8788 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 25 T^{2} - 88 T^{3} + 514 T^{4} - 2244 T^{5} + 6682 T^{6} - 14872 T^{7} + 54925 T^{8} - 171366 T^{9} + 371293 T^{10} \))(\( 1 + 8 T + 57 T^{2} + 304 T^{3} + 1410 T^{4} + 5456 T^{5} + 18330 T^{6} + 51376 T^{7} + 125229 T^{8} + 228488 T^{9} + 371293 T^{10} \))(\( 1 - 4 T + 72 T^{2} - 239 T^{3} + 2226 T^{4} - 5956 T^{5} + 37933 T^{6} - 77428 T^{7} + 376194 T^{8} - 525083 T^{9} + 2056392 T^{10} - 1485172 T^{11} + 4826809 T^{12} \))(\( 1 - T + 52 T^{2} - 39 T^{3} + 1360 T^{4} - 806 T^{5} + 21862 T^{6} - 10478 T^{7} + 229840 T^{8} - 85683 T^{9} + 1485172 T^{10} - 371293 T^{11} + 4826809 T^{12} \))(\( 1 + 2 T - 2 T^{2} - 56 T^{3} - 18 T^{4} + 294 T^{5} + 2786 T^{6} + 3822 T^{7} - 3042 T^{8} - 123032 T^{9} - 57122 T^{10} + 742586 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 62 T^{2} + 232 T^{3} + 1454 T^{4} + 4018 T^{5} + 21410 T^{6} + 52234 T^{7} + 245726 T^{8} + 509704 T^{9} + 1770782 T^{10} + 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 2 T - 2 T^{2} + 56 T^{3} - 18 T^{4} - 294 T^{5} + 2786 T^{6} - 3822 T^{7} - 3042 T^{8} + 123032 T^{9} - 57122 T^{10} - 742586 T^{11} + 4826809 T^{12} \))(\( 1 - 6 T + 62 T^{2} - 232 T^{3} + 1454 T^{4} - 4018 T^{5} + 21410 T^{6} - 52234 T^{7} + 245726 T^{8} - 509704 T^{9} + 1770782 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 + T + 52 T^{2} + 39 T^{3} + 1360 T^{4} + 806 T^{5} + 21862 T^{6} + 10478 T^{7} + 229840 T^{8} + 85683 T^{9} + 1485172 T^{10} + 371293 T^{11} + 4826809 T^{12} \))(\( 1 + 4 T + 72 T^{2} + 239 T^{3} + 2226 T^{4} + 5956 T^{5} + 37933 T^{6} + 77428 T^{7} + 376194 T^{8} + 525083 T^{9} + 2056392 T^{10} + 1485172 T^{11} + 4826809 T^{12} \))(\( 1 - 9 T + 93 T^{2} - 582 T^{3} + 3567 T^{4} - 17487 T^{5} + 81128 T^{6} - 336567 T^{7} + 1315854 T^{8} - 4880755 T^{9} + 17106102 T^{10} - 56879823 T^{11} + 178238216 T^{12} - 499446207 T^{13} + 1324402131 T^{14} - 2809202838 T^{15} + 5835612081 T^{16} - 7341576489 T^{17} + 10604499373 T^{18} \))(\( 1 + 9 T + 93 T^{2} + 582 T^{3} + 3567 T^{4} + 17487 T^{5} + 81128 T^{6} + 336567 T^{7} + 1315854 T^{8} + 4880755 T^{9} + 17106102 T^{10} + 56879823 T^{11} + 178238216 T^{12} + 499446207 T^{13} + 1324402131 T^{14} + 2809202838 T^{15} + 5835612081 T^{16} + 7341576489 T^{17} + 10604499373 T^{18} \))(\( 1 + 24 T + 381 T^{2} + 4416 T^{3} + 41862 T^{4} + 334272 T^{5} + 2326197 T^{6} + 14297560 T^{7} + 78787128 T^{8} + 391815656 T^{9} + 1771645682 T^{10} + 7303034472 T^{11} + 27536078266 T^{12} + 94939448136 T^{13} + 299408120258 T^{14} + 860818996232 T^{15} + 2250239162808 T^{16} + 5308583945080 T^{17} + 11228108615373 T^{18} + 20975072274624 T^{19} + 34148119442502 T^{20} + 46829469231168 T^{21} + 52524085394469 T^{22} + 43011849456888 T^{23} + 23298085122481 T^{24} \))(\( 1 + 4 T + 68 T^{2} + 185 T^{3} + 2387 T^{4} + 5758 T^{5} + 62269 T^{6} + 137515 T^{7} + 1264133 T^{8} + 2612617 T^{9} + 21190887 T^{10} + 41022709 T^{11} + 298925966 T^{12} + 533295217 T^{13} + 3581259903 T^{14} + 5739919549 T^{15} + 36104902613 T^{16} + 51058356895 T^{17} + 300560569621 T^{18} + 361305960886 T^{19} + 1947149231027 T^{20} + 1961832384005 T^{21} + 9374377445732 T^{22} + 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 + 12 T + 132 T^{2} + 943 T^{3} + 6099 T^{4} + 31050 T^{5} + 144589 T^{6} + 553557 T^{7} + 1956941 T^{8} + 5606007 T^{9} + 15499415 T^{10} + 35234667 T^{11} + 116869374 T^{12} + 458050671 T^{13} + 2619401135 T^{14} + 12316397379 T^{15} + 55892191901 T^{16} + 205531839201 T^{17} + 697903486501 T^{18} + 1948341452850 T^{19} + 4975141667379 T^{20} + 10000042908739 T^{21} + 18197320924068 T^{22} + 21505924728444 T^{23} + 23298085122481 T^{24} \))(\( 1 - 9 T + 126 T^{2} - 843 T^{3} + 7023 T^{4} - 38676 T^{5} + 244271 T^{6} - 1159359 T^{7} + 6055638 T^{8} - 25315809 T^{9} + 113872953 T^{10} - 422590056 T^{11} + 1669852888 T^{12} - 5493670728 T^{13} + 19244529057 T^{14} - 55618832373 T^{15} + 172955076918 T^{16} - 430461881187 T^{17} + 1179049461239 T^{18} - 2426861643492 T^{19} + 5728876853583 T^{20} - 8939592971439 T^{21} + 17370169972974 T^{22} - 16129443546333 T^{23} + 23298085122481 T^{24} \))(\( 1 + 9 T + 126 T^{2} + 843 T^{3} + 7023 T^{4} + 38676 T^{5} + 244271 T^{6} + 1159359 T^{7} + 6055638 T^{8} + 25315809 T^{9} + 113872953 T^{10} + 422590056 T^{11} + 1669852888 T^{12} + 5493670728 T^{13} + 19244529057 T^{14} + 55618832373 T^{15} + 172955076918 T^{16} + 430461881187 T^{17} + 1179049461239 T^{18} + 2426861643492 T^{19} + 5728876853583 T^{20} + 8939592971439 T^{21} + 17370169972974 T^{22} + 16129443546333 T^{23} + 23298085122481 T^{24} \))(\( 1 - 12 T + 132 T^{2} - 943 T^{3} + 6099 T^{4} - 31050 T^{5} + 144589 T^{6} - 553557 T^{7} + 1956941 T^{8} - 5606007 T^{9} + 15499415 T^{10} - 35234667 T^{11} + 116869374 T^{12} - 458050671 T^{13} + 2619401135 T^{14} - 12316397379 T^{15} + 55892191901 T^{16} - 205531839201 T^{17} + 697903486501 T^{18} - 1948341452850 T^{19} + 4975141667379 T^{20} - 10000042908739 T^{21} + 18197320924068 T^{22} - 21505924728444 T^{23} + 23298085122481 T^{24} \))(\( 1 - 4 T + 68 T^{2} - 185 T^{3} + 2387 T^{4} - 5758 T^{5} + 62269 T^{6} - 137515 T^{7} + 1264133 T^{8} - 2612617 T^{9} + 21190887 T^{10} - 41022709 T^{11} + 298925966 T^{12} - 533295217 T^{13} + 3581259903 T^{14} - 5739919549 T^{15} + 36104902613 T^{16} - 51058356895 T^{17} + 300560569621 T^{18} - 361305960886 T^{19} + 1947149231027 T^{20} - 1961832384005 T^{21} + 9374377445732 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 - 24 T + 381 T^{2} - 4416 T^{3} + 41862 T^{4} - 334272 T^{5} + 2326197 T^{6} - 14297560 T^{7} + 78787128 T^{8} - 391815656 T^{9} + 1771645682 T^{10} - 7303034472 T^{11} + 27536078266 T^{12} - 94939448136 T^{13} + 299408120258 T^{14} - 860818996232 T^{15} + 2250239162808 T^{16} - 5308583945080 T^{17} + 11228108615373 T^{18} - 20975072274624 T^{19} + 34148119442502 T^{20} - 46829469231168 T^{21} + 52524085394469 T^{22} - 43011849456888 T^{23} + 23298085122481 T^{24} \))(\( 1 + 15 T + 216 T^{2} + 2093 T^{3} + 18816 T^{4} + 141015 T^{5} + 986281 T^{6} + 6172710 T^{7} + 36387774 T^{8} + 198239056 T^{9} + 1025849958 T^{10} + 4993326096 T^{11} + 23252543220 T^{12} + 102967416576 T^{13} + 438767711991 T^{14} + 1790616846279 T^{15} + 7061902451277 T^{16} + 26785917510504 T^{17} + 98409132644324 T^{18} + 348216927636552 T^{19} + 1193461514265813 T^{20} + 3933985211274963 T^{21} + 12531644622174951 T^{22} + 38231081002752768 T^{23} + 112235584887184980 T^{24} + 313323807421399632 T^{25} + 836817325877159718 T^{26} + 2102225945056111888 T^{27} + 5016363645382254126 T^{28} + 11062486385876130270 T^{29} + 22978458692685683161 T^{30} + 42709933156106556795 T^{31} + 74085674073317821824 T^{32} + \)\(10\!\cdots\!01\)\( T^{33} + \)\(14\!\cdots\!56\)\( T^{34} + \)\(12\!\cdots\!95\)\( T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 + 9 T + 144 T^{2} + 1089 T^{3} + 10530 T^{4} + 68589 T^{5} + 511199 T^{6} + 2941992 T^{7} + 18429588 T^{8} + 95398150 T^{9} + 523856130 T^{10} + 2468990538 T^{11} + 12169169222 T^{12} + 52649679774 T^{13} + 236272787169 T^{14} + 943175859553 T^{15} + 3887691443619 T^{16} + 14355628875186 T^{17} + 54625546401596 T^{18} + 186623175377418 T^{19} + 657019853971611 T^{20} + 2072157363437941 T^{21} + 6748187074333809 T^{22} + 19548457552327782 T^{23} + 58738255523272598 T^{24} + 154925494746532146 T^{25} + 427325538625169730 T^{26} + 1011649621860359950 T^{27} + 2540675207078428212 T^{28} + 5272521541973701704 T^{29} + 11909957816527164719 T^{30} + 20773900686056041017 T^{31} + 41460573341413513170 T^{32} + 55741437492344834373 T^{33} + 95819991722377897104 T^{34} + 77853743274432041397 T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 - 15 T + 216 T^{2} - 2093 T^{3} + 18816 T^{4} - 141015 T^{5} + 986281 T^{6} - 6172710 T^{7} + 36387774 T^{8} - 198239056 T^{9} + 1025849958 T^{10} - 4993326096 T^{11} + 23252543220 T^{12} - 102967416576 T^{13} + 438767711991 T^{14} - 1790616846279 T^{15} + 7061902451277 T^{16} - 26785917510504 T^{17} + 98409132644324 T^{18} - 348216927636552 T^{19} + 1193461514265813 T^{20} - 3933985211274963 T^{21} + 12531644622174951 T^{22} - 38231081002752768 T^{23} + 112235584887184980 T^{24} - 313323807421399632 T^{25} + 836817325877159718 T^{26} - 2102225945056111888 T^{27} + 5016363645382254126 T^{28} - 11062486385876130270 T^{29} + 22978458692685683161 T^{30} - 42709933156106556795 T^{31} + 74085674073317821824 T^{32} - \)\(10\!\cdots\!01\)\( T^{33} + \)\(14\!\cdots\!56\)\( T^{34} - \)\(12\!\cdots\!95\)\( T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 - 9 T + 144 T^{2} - 1089 T^{3} + 10530 T^{4} - 68589 T^{5} + 511199 T^{6} - 2941992 T^{7} + 18429588 T^{8} - 95398150 T^{9} + 523856130 T^{10} - 2468990538 T^{11} + 12169169222 T^{12} - 52649679774 T^{13} + 236272787169 T^{14} - 943175859553 T^{15} + 3887691443619 T^{16} - 14355628875186 T^{17} + 54625546401596 T^{18} - 186623175377418 T^{19} + 657019853971611 T^{20} - 2072157363437941 T^{21} + 6748187074333809 T^{22} - 19548457552327782 T^{23} + 58738255523272598 T^{24} - 154925494746532146 T^{25} + 427325538625169730 T^{26} - 1011649621860359950 T^{27} + 2540675207078428212 T^{28} - 5272521541973701704 T^{29} + 11909957816527164719 T^{30} - 20773900686056041017 T^{31} + 41460573341413513170 T^{32} - 55741437492344834373 T^{33} + 95819991722377897104 T^{34} - 77853743274432041397 T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 + 109 T^{2} - 80 T^{3} + 5794 T^{4} - 8904 T^{5} + 204017 T^{6} - 483232 T^{7} + 5488734 T^{8} - 17236896 T^{9} + 123588384 T^{10} - 459032264 T^{11} + 2474085394 T^{12} - 9820352760 T^{13} + 45397251752 T^{14} - 177378119456 T^{15} + 765859509873 T^{16} - 2807266280608 T^{17} + 11738206427074 T^{18} - 39980705141032 T^{19} + 161459424546104 T^{20} - 519749166833416 T^{21} + 1983756886175506 T^{22} - 6167564018495776 T^{23} + 21873713461482753 T^{24} - 65859254107176608 T^{25} + 219123863331819368 T^{26} - 616212572106856920 T^{27} + 2018187462263189074 T^{28} - 4867807355774770472 T^{29} + 17037708228295082016 T^{30} - 30891282327334789152 T^{31} + \)\(12\!\cdots\!54\)\( T^{32} - \)\(14\!\cdots\!96\)\( T^{33} + \)\(80\!\cdots\!13\)\( T^{34} - \)\(45\!\cdots\!28\)\( T^{35} + \)\(38\!\cdots\!54\)\( T^{36} - \)\(69\!\cdots\!40\)\( T^{37} + \)\(12\!\cdots\!61\)\( T^{38} + \)\(19\!\cdots\!01\)\( T^{40} \))(\( 1 + 109 T^{2} + 80 T^{3} + 5794 T^{4} + 8904 T^{5} + 204017 T^{6} + 483232 T^{7} + 5488734 T^{8} + 17236896 T^{9} + 123588384 T^{10} + 459032264 T^{11} + 2474085394 T^{12} + 9820352760 T^{13} + 45397251752 T^{14} + 177378119456 T^{15} + 765859509873 T^{16} + 2807266280608 T^{17} + 11738206427074 T^{18} + 39980705141032 T^{19} + 161459424546104 T^{20} + 519749166833416 T^{21} + 1983756886175506 T^{22} + 6167564018495776 T^{23} + 21873713461482753 T^{24} + 65859254107176608 T^{25} + 219123863331819368 T^{26} + 616212572106856920 T^{27} + 2018187462263189074 T^{28} + 4867807355774770472 T^{29} + 17037708228295082016 T^{30} + 30891282327334789152 T^{31} + \)\(12\!\cdots\!54\)\( T^{32} + \)\(14\!\cdots\!96\)\( T^{33} + \)\(80\!\cdots\!13\)\( T^{34} + \)\(45\!\cdots\!28\)\( T^{35} + \)\(38\!\cdots\!54\)\( T^{36} + \)\(69\!\cdots\!40\)\( T^{37} + \)\(12\!\cdots\!61\)\( T^{38} + \)\(19\!\cdots\!01\)\( T^{40} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 5 T + 39 T^{2} + 85 T^{3} + 289 T^{4} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( 1 + 5 T + 39 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 36 T^{2} - 185 T^{3} + 612 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 - 12 T + 91 T^{2} - 436 T^{3} + 1547 T^{4} - 3468 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 47 T^{2} + 64 T^{3} + 799 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 8 T + 67 T^{2} - 276 T^{3} + 1139 T^{4} - 2312 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 47 T^{2} + 64 T^{3} + 799 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 36 T^{2} - 185 T^{3} + 612 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 6 T + 24 T^{2} + 130 T^{3} + 818 T^{4} + 2210 T^{5} + 6936 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - T + 37 T^{2} - 120 T^{3} + 643 T^{4} - 2040 T^{5} + 10693 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 - T + 29 T^{2} - 14 T^{3} + 577 T^{4} - 238 T^{5} + 8381 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 - T + 37 T^{2} - 120 T^{3} + 643 T^{4} - 2040 T^{5} + 10693 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 - T + 29 T^{2} - 14 T^{3} + 577 T^{4} - 238 T^{5} + 8381 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 + 6 T + 24 T^{2} + 130 T^{3} + 818 T^{4} + 2210 T^{5} + 6936 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 12 T + 105 T^{2} - 568 T^{3} + 2794 T^{4} - 11120 T^{5} + 47498 T^{6} - 164152 T^{7} + 515865 T^{8} - 1002252 T^{9} + 1419857 T^{10} \))(\( 1 + 2 T + 13 T^{2} - 40 T^{3} + 326 T^{4} + 652 T^{5} + 5542 T^{6} - 11560 T^{7} + 63869 T^{8} + 167042 T^{9} + 1419857 T^{10} \))(\( 1 + 14 T + 133 T^{2} + 941 T^{3} + 5678 T^{4} + 28963 T^{5} + 129125 T^{6} + 492371 T^{7} + 1640942 T^{8} + 4623133 T^{9} + 11108293 T^{10} + 19877998 T^{11} + 24137569 T^{12} \))(\( 1 + T + 91 T^{2} + 84 T^{3} + 3614 T^{4} + 2819 T^{5} + 80108 T^{6} + 47923 T^{7} + 1044446 T^{8} + 412692 T^{9} + 7600411 T^{10} + 1419857 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T + 46 T^{2} + 131 T^{3} + 1001 T^{4} + 2853 T^{5} + 16153 T^{6} + 48501 T^{7} + 289289 T^{8} + 643603 T^{9} + 3841966 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 - 5 T + 38 T^{2} - 67 T^{3} + 339 T^{4} + 1113 T^{5} - 721 T^{6} + 18921 T^{7} + 97971 T^{8} - 329171 T^{9} + 3173798 T^{10} - 7099285 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T + 46 T^{2} + 131 T^{3} + 1001 T^{4} + 2853 T^{5} + 16153 T^{6} + 48501 T^{7} + 289289 T^{8} + 643603 T^{9} + 3841966 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 - 5 T + 38 T^{2} - 67 T^{3} + 339 T^{4} + 1113 T^{5} - 721 T^{6} + 18921 T^{7} + 97971 T^{8} - 329171 T^{9} + 3173798 T^{10} - 7099285 T^{11} + 24137569 T^{12} \))(\( 1 + T + 91 T^{2} + 84 T^{3} + 3614 T^{4} + 2819 T^{5} + 80108 T^{6} + 47923 T^{7} + 1044446 T^{8} + 412692 T^{9} + 7600411 T^{10} + 1419857 T^{11} + 24137569 T^{12} \))(\( 1 + 14 T + 133 T^{2} + 941 T^{3} + 5678 T^{4} + 28963 T^{5} + 129125 T^{6} + 492371 T^{7} + 1640942 T^{8} + 4623133 T^{9} + 11108293 T^{10} + 19877998 T^{11} + 24137569 T^{12} \))(\( 1 + 81 T^{2} + 19 T^{3} + 3489 T^{4} + 1467 T^{5} + 101788 T^{6} + 50979 T^{7} + 2226762 T^{8} + 1085715 T^{9} + 37854954 T^{10} + 14732931 T^{11} + 500084444 T^{12} + 122525307 T^{13} + 4953881073 T^{14} + 458613811 T^{15} + 33237432513 T^{16} + 118587876497 T^{18} \))(\( 1 + 81 T^{2} + 19 T^{3} + 3489 T^{4} + 1467 T^{5} + 101788 T^{6} + 50979 T^{7} + 2226762 T^{8} + 1085715 T^{9} + 37854954 T^{10} + 14732931 T^{11} + 500084444 T^{12} + 122525307 T^{13} + 4953881073 T^{14} + 458613811 T^{15} + 33237432513 T^{16} + 118587876497 T^{18} \))(\( 1 - 2 T + 127 T^{2} - 284 T^{3} + 7793 T^{4} - 19824 T^{5} + 311868 T^{6} - 879064 T^{7} + 9210102 T^{8} - 27225874 T^{9} + 213673173 T^{10} - 617803592 T^{11} + 4016474784 T^{12} - 10502661064 T^{13} + 61751546997 T^{14} - 133760718962 T^{15} + 769236929142 T^{16} - 1248145173848 T^{17} + 7527735368892 T^{18} - 8134553853552 T^{19} + 54362077737713 T^{20} - 33678956925148 T^{21} + 256031225357023 T^{22} - 68543792615266 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 89 T^{2} + 537 T^{3} + 3415 T^{4} + 14369 T^{5} + 63804 T^{6} + 157422 T^{7} + 388193 T^{8} - 1133706 T^{9} - 8224005 T^{10} - 68675126 T^{11} - 243148946 T^{12} - 1167477142 T^{13} - 2376737445 T^{14} - 5569897578 T^{15} + 32422267553 T^{16} + 223516728654 T^{17} + 1540073452476 T^{18} + 5896156392337 T^{19} + 23822211661015 T^{20} + 63681689678889 T^{21} + 179423457139961 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 + 4 T + 137 T^{2} + 387 T^{3} + 8667 T^{4} + 16447 T^{5} + 343582 T^{6} + 386446 T^{7} + 9771893 T^{8} + 5140826 T^{9} + 217392137 T^{10} + 40872674 T^{11} + 4012204798 T^{12} + 694835458 T^{13} + 62826327593 T^{14} + 25256878138 T^{15} + 816158275253 T^{16} + 548698058222 T^{17} + 8293234232158 T^{18} + 6748840154831 T^{19} + 60458889741147 T^{20} + 45893508204339 T^{21} + 276191164361513 T^{22} + 137087585230532 T^{23} + 582622237229761 T^{24} \))(\( 1 + 18 T + 267 T^{2} + 2780 T^{3} + 25107 T^{4} + 190566 T^{5} + 1298318 T^{6} + 7902438 T^{7} + 44180040 T^{8} + 227618344 T^{9} + 1094466078 T^{10} + 4934743368 T^{11} + 20949059515 T^{12} + 83890637256 T^{13} + 316300696542 T^{14} + 1118288924072 T^{15} + 3689961120840 T^{16} + 11220331911366 T^{17} + 31338240308942 T^{18} + 78196599558918 T^{19} + 175140342071187 T^{20} + 329674296661660 T^{21} + 538270371419883 T^{22} + 616894133537394 T^{23} + 582622237229761 T^{24} \))(\( 1 + 18 T + 267 T^{2} + 2780 T^{3} + 25107 T^{4} + 190566 T^{5} + 1298318 T^{6} + 7902438 T^{7} + 44180040 T^{8} + 227618344 T^{9} + 1094466078 T^{10} + 4934743368 T^{11} + 20949059515 T^{12} + 83890637256 T^{13} + 316300696542 T^{14} + 1118288924072 T^{15} + 3689961120840 T^{16} + 11220331911366 T^{17} + 31338240308942 T^{18} + 78196599558918 T^{19} + 175140342071187 T^{20} + 329674296661660 T^{21} + 538270371419883 T^{22} + 616894133537394 T^{23} + 582622237229761 T^{24} \))(\( 1 + 4 T + 137 T^{2} + 387 T^{3} + 8667 T^{4} + 16447 T^{5} + 343582 T^{6} + 386446 T^{7} + 9771893 T^{8} + 5140826 T^{9} + 217392137 T^{10} + 40872674 T^{11} + 4012204798 T^{12} + 694835458 T^{13} + 62826327593 T^{14} + 25256878138 T^{15} + 816158275253 T^{16} + 548698058222 T^{17} + 8293234232158 T^{18} + 6748840154831 T^{19} + 60458889741147 T^{20} + 45893508204339 T^{21} + 276191164361513 T^{22} + 137087585230532 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 89 T^{2} + 537 T^{3} + 3415 T^{4} + 14369 T^{5} + 63804 T^{6} + 157422 T^{7} + 388193 T^{8} - 1133706 T^{9} - 8224005 T^{10} - 68675126 T^{11} - 243148946 T^{12} - 1167477142 T^{13} - 2376737445 T^{14} - 5569897578 T^{15} + 32422267553 T^{16} + 223516728654 T^{17} + 1540073452476 T^{18} + 5896156392337 T^{19} + 23822211661015 T^{20} + 63681689678889 T^{21} + 179423457139961 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 2 T + 127 T^{2} - 284 T^{3} + 7793 T^{4} - 19824 T^{5} + 311868 T^{6} - 879064 T^{7} + 9210102 T^{8} - 27225874 T^{9} + 213673173 T^{10} - 617803592 T^{11} + 4016474784 T^{12} - 10502661064 T^{13} + 61751546997 T^{14} - 133760718962 T^{15} + 769236929142 T^{16} - 1248145173848 T^{17} + 7527735368892 T^{18} - 8134553853552 T^{19} + 54362077737713 T^{20} - 33678956925148 T^{21} + 256031225357023 T^{22} - 68543792615266 T^{23} + 582622237229761 T^{24} \))(\( 1 + 6 T + 135 T^{2} + 648 T^{3} + 8985 T^{4} + 37674 T^{5} + 413893 T^{6} + 1599702 T^{7} + 15003237 T^{8} + 54895358 T^{9} + 452723343 T^{10} + 1586784426 T^{11} + 11726389934 T^{12} + 39547085976 T^{13} + 266038552185 T^{14} + 862389986280 T^{15} + 5354720255709 T^{16} + 16581469461306 T^{17} + 96241917874981 T^{18} + 281884980842202 T^{19} + 1547514153899901 T^{20} + 4236922002593640 T^{21} + 22219805917043385 T^{22} + 56151206852625432 T^{23} + 283046546152830446 T^{24} + 651119015701906698 T^{25} + 3158088228646645263 T^{26} + 6509923934762600926 T^{27} + 30246434278990753413 T^{28} + 54824821067113125366 T^{29} + \)\(24\!\cdots\!73\)\( T^{30} + \)\(37\!\cdots\!38\)\( T^{31} + \)\(15\!\cdots\!65\)\( T^{32} + \)\(18\!\cdots\!64\)\( T^{33} + \)\(65\!\cdots\!35\)\( T^{34} + \)\(49\!\cdots\!62\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 - 18 T + 309 T^{2} - 3536 T^{3} + 37917 T^{4} - 334578 T^{5} + 2788391 T^{6} - 20544360 T^{7} + 144120135 T^{8} - 924560122 T^{9} + 5682248637 T^{10} - 32536378158 T^{11} + 179268225762 T^{12} - 930380443866 T^{13} + 4659936500853 T^{14} - 22126712331540 T^{15} + 101574543953679 T^{16} - 443551863390876 T^{17} + 1874100270220007 T^{18} - 7540381677644892 T^{19} + 29355043202613231 T^{20} - 108708537684856020 T^{21} + 389202556487743413 T^{22} - 1321007185886247162 T^{23} + 4327099168837852578 T^{24} - 13350934237579904334 T^{25} + 39637988211164857917 T^{26} - \)\(10\!\cdots\!34\)\( T^{27} + \)\(29\!\cdots\!15\)\( T^{28} - \)\(70\!\cdots\!80\)\( T^{29} + \)\(16\!\cdots\!51\)\( T^{30} - \)\(33\!\cdots\!86\)\( T^{31} + \)\(63\!\cdots\!93\)\( T^{32} - \)\(10\!\cdots\!48\)\( T^{33} + \)\(15\!\cdots\!29\)\( T^{34} - \)\(14\!\cdots\!86\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 + 6 T + 135 T^{2} + 648 T^{3} + 8985 T^{4} + 37674 T^{5} + 413893 T^{6} + 1599702 T^{7} + 15003237 T^{8} + 54895358 T^{9} + 452723343 T^{10} + 1586784426 T^{11} + 11726389934 T^{12} + 39547085976 T^{13} + 266038552185 T^{14} + 862389986280 T^{15} + 5354720255709 T^{16} + 16581469461306 T^{17} + 96241917874981 T^{18} + 281884980842202 T^{19} + 1547514153899901 T^{20} + 4236922002593640 T^{21} + 22219805917043385 T^{22} + 56151206852625432 T^{23} + 283046546152830446 T^{24} + 651119015701906698 T^{25} + 3158088228646645263 T^{26} + 6509923934762600926 T^{27} + 30246434278990753413 T^{28} + 54824821067113125366 T^{29} + \)\(24\!\cdots\!73\)\( T^{30} + \)\(37\!\cdots\!38\)\( T^{31} + \)\(15\!\cdots\!65\)\( T^{32} + \)\(18\!\cdots\!64\)\( T^{33} + \)\(65\!\cdots\!35\)\( T^{34} + \)\(49\!\cdots\!62\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 - 18 T + 309 T^{2} - 3536 T^{3} + 37917 T^{4} - 334578 T^{5} + 2788391 T^{6} - 20544360 T^{7} + 144120135 T^{8} - 924560122 T^{9} + 5682248637 T^{10} - 32536378158 T^{11} + 179268225762 T^{12} - 930380443866 T^{13} + 4659936500853 T^{14} - 22126712331540 T^{15} + 101574543953679 T^{16} - 443551863390876 T^{17} + 1874100270220007 T^{18} - 7540381677644892 T^{19} + 29355043202613231 T^{20} - 108708537684856020 T^{21} + 389202556487743413 T^{22} - 1321007185886247162 T^{23} + 4327099168837852578 T^{24} - 13350934237579904334 T^{25} + 39637988211164857917 T^{26} - \)\(10\!\cdots\!34\)\( T^{27} + \)\(29\!\cdots\!15\)\( T^{28} - \)\(70\!\cdots\!80\)\( T^{29} + \)\(16\!\cdots\!51\)\( T^{30} - \)\(33\!\cdots\!86\)\( T^{31} + \)\(63\!\cdots\!93\)\( T^{32} - \)\(10\!\cdots\!48\)\( T^{33} + \)\(15\!\cdots\!29\)\( T^{34} - \)\(14\!\cdots\!86\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 - 6 T + 195 T^{2} - 1016 T^{3} + 18677 T^{4} - 88204 T^{5} + 1188772 T^{6} - 5235672 T^{7} + 56851856 T^{8} - 237710230 T^{9} + 2178347755 T^{10} - 8731663668 T^{11} + 69456706290 T^{12} - 267879257852 T^{13} + 1887864960041 T^{14} - 6997788973570 T^{15} + 44436489389503 T^{16} - 157516187199594 T^{17} + 914888892795557 T^{18} - 3076362197608396 T^{19} + 16568502020599442 T^{20} - 52298157359342732 T^{21} + 264402890017915973 T^{22} - 773877027711605322 T^{23} + 3711380030300680063 T^{24} - 9935859658646179490 T^{25} + 45568470735671880329 T^{26} - \)\(10\!\cdots\!96\)\( T^{27} + \)\(48\!\cdots\!90\)\( T^{28} - \)\(10\!\cdots\!96\)\( T^{29} + \)\(43\!\cdots\!95\)\( T^{30} - \)\(81\!\cdots\!90\)\( T^{31} + \)\(33\!\cdots\!16\)\( T^{32} - \)\(51\!\cdots\!64\)\( T^{33} + \)\(20\!\cdots\!88\)\( T^{34} - \)\(25\!\cdots\!72\)\( T^{35} + \)\(90\!\cdots\!37\)\( T^{36} - \)\(84\!\cdots\!32\)\( T^{37} + \)\(27\!\cdots\!55\)\( T^{38} - \)\(14\!\cdots\!18\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 - 6 T + 195 T^{2} - 1016 T^{3} + 18677 T^{4} - 88204 T^{5} + 1188772 T^{6} - 5235672 T^{7} + 56851856 T^{8} - 237710230 T^{9} + 2178347755 T^{10} - 8731663668 T^{11} + 69456706290 T^{12} - 267879257852 T^{13} + 1887864960041 T^{14} - 6997788973570 T^{15} + 44436489389503 T^{16} - 157516187199594 T^{17} + 914888892795557 T^{18} - 3076362197608396 T^{19} + 16568502020599442 T^{20} - 52298157359342732 T^{21} + 264402890017915973 T^{22} - 773877027711605322 T^{23} + 3711380030300680063 T^{24} - 9935859658646179490 T^{25} + 45568470735671880329 T^{26} - \)\(10\!\cdots\!96\)\( T^{27} + \)\(48\!\cdots\!90\)\( T^{28} - \)\(10\!\cdots\!96\)\( T^{29} + \)\(43\!\cdots\!95\)\( T^{30} - \)\(81\!\cdots\!90\)\( T^{31} + \)\(33\!\cdots\!16\)\( T^{32} - \)\(51\!\cdots\!64\)\( T^{33} + \)\(20\!\cdots\!88\)\( T^{34} - \)\(25\!\cdots\!72\)\( T^{35} + \)\(90\!\cdots\!37\)\( T^{36} - \)\(84\!\cdots\!32\)\( T^{37} + \)\(27\!\cdots\!55\)\( T^{38} - \)\(14\!\cdots\!18\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))
$19$ 1
$23$ (\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 2 T + 2 T^{2} + 46 T^{3} + 529 T^{4} \))(\( ( 1 - T + 23 T^{2} )^{2} \))(\( ( 1 - T + 23 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 3 T + 60 T^{2} - 119 T^{3} + 1380 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 8 T + 69 T^{2} + 352 T^{3} + 1587 T^{4} + 4232 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 61 T^{2} + 168 T^{3} + 1403 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 + 4 T - 11 T^{2} - 216 T^{3} - 253 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 61 T^{2} + 168 T^{3} + 1403 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 60 T^{2} - 119 T^{3} + 1380 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 8 T + 84 T^{2} - 408 T^{3} + 2582 T^{4} - 9384 T^{5} + 44436 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 - T + 61 T^{2} - 138 T^{3} + 1711 T^{4} - 3174 T^{5} + 32269 T^{6} - 12167 T^{7} + 279841 T^{8} \))(\( 1 + 13 T + 135 T^{2} + 880 T^{3} + 5009 T^{4} + 20240 T^{5} + 71415 T^{6} + 158171 T^{7} + 279841 T^{8} \))(\( 1 - T + 61 T^{2} - 138 T^{3} + 1711 T^{4} - 3174 T^{5} + 32269 T^{6} - 12167 T^{7} + 279841 T^{8} \))(\( 1 + 13 T + 135 T^{2} + 880 T^{3} + 5009 T^{4} + 20240 T^{5} + 71415 T^{6} + 158171 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 84 T^{2} - 408 T^{3} + 2582 T^{4} - 9384 T^{5} + 44436 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 - 12 T + 99 T^{2} - 640 T^{3} + 3834 T^{4} - 19176 T^{5} + 88182 T^{6} - 338560 T^{7} + 1204533 T^{8} - 3358092 T^{9} + 6436343 T^{10} \))(\( 1 - 2 T + 83 T^{2} - 168 T^{3} + 3338 T^{4} - 5420 T^{5} + 76774 T^{6} - 88872 T^{7} + 1009861 T^{8} - 559682 T^{9} + 6436343 T^{10} \))(\( 1 - 4 T + 82 T^{2} - 185 T^{3} + 2778 T^{4} - 3035 T^{5} + 65466 T^{6} - 69805 T^{7} + 1469562 T^{8} - 2250895 T^{9} + 22946962 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 - 4 T + 87 T^{2} - 207 T^{3} + 3292 T^{4} - 4548 T^{5} + 83961 T^{6} - 104604 T^{7} + 1741468 T^{8} - 2518569 T^{9} + 24346167 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 + 5 T + 117 T^{2} + 538 T^{3} + 6126 T^{4} + 23825 T^{5} + 182356 T^{6} + 547975 T^{7} + 3240654 T^{8} + 6545846 T^{9} + 32741397 T^{10} + 32181715 T^{11} + 148035889 T^{12} \))(\( 1 - 9 T + 119 T^{2} - 808 T^{3} + 6468 T^{4} - 33611 T^{5} + 193212 T^{6} - 773053 T^{7} + 3421572 T^{8} - 9830936 T^{9} + 33301079 T^{10} - 57927087 T^{11} + 148035889 T^{12} \))(\( 1 + 5 T + 117 T^{2} + 538 T^{3} + 6126 T^{4} + 23825 T^{5} + 182356 T^{6} + 547975 T^{7} + 3240654 T^{8} + 6545846 T^{9} + 32741397 T^{10} + 32181715 T^{11} + 148035889 T^{12} \))(\( 1 - 9 T + 119 T^{2} - 808 T^{3} + 6468 T^{4} - 33611 T^{5} + 193212 T^{6} - 773053 T^{7} + 3421572 T^{8} - 9830936 T^{9} + 33301079 T^{10} - 57927087 T^{11} + 148035889 T^{12} \))(\( 1 - 4 T + 87 T^{2} - 207 T^{3} + 3292 T^{4} - 4548 T^{5} + 83961 T^{6} - 104604 T^{7} + 1741468 T^{8} - 2518569 T^{9} + 24346167 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 - 4 T + 82 T^{2} - 185 T^{3} + 2778 T^{4} - 3035 T^{5} + 65466 T^{6} - 69805 T^{7} + 1469562 T^{8} - 2250895 T^{9} + 22946962 T^{10} - 25745372 T^{11} + 148035889 T^{12} \))(\( 1 + 21 T + 360 T^{2} + 4183 T^{3} + 42360 T^{4} + 347607 T^{5} + 2560756 T^{6} + 16158777 T^{7} + 92805132 T^{8} + 465567555 T^{9} + 2134518036 T^{10} + 8547993033 T^{11} + 31156718252 T^{12} + 97274690487 T^{13} + 272643489480 T^{14} + 619234123687 T^{15} + 1225737160920 T^{16} + 1644530690901 T^{17} + 1801152661463 T^{18} \))(\( 1 + 21 T + 360 T^{2} + 4183 T^{3} + 42360 T^{4} + 347607 T^{5} + 2560756 T^{6} + 16158777 T^{7} + 92805132 T^{8} + 465567555 T^{9} + 2134518036 T^{10} + 8547993033 T^{11} + 31156718252 T^{12} + 97274690487 T^{13} + 272643489480 T^{14} + 619234123687 T^{15} + 1225737160920 T^{16} + 1644530690901 T^{17} + 1801152661463 T^{18} \))(\( 1 - 4 T + 190 T^{2} - 774 T^{3} + 17695 T^{4} - 72496 T^{5} + 1068713 T^{6} - 4306466 T^{7} + 46628008 T^{8} - 179578834 T^{9} + 1548614734 T^{10} - 5508097494 T^{11} + 40155950195 T^{12} - 126686242362 T^{13} + 819217194286 T^{14} - 2184935673278 T^{15} + 13048428386728 T^{16} - 27717892293838 T^{17} + 158207879040857 T^{18} - 246836225605712 T^{19} + 1385712884547295 T^{20} - 1394092159972362 T^{21} + 7871037130593310 T^{22} - 3811239031655708 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 8 T + 134 T^{2} + 875 T^{3} + 8821 T^{4} + 47317 T^{5} + 368431 T^{6} + 1615932 T^{7} + 10888645 T^{8} + 39599731 T^{9} + 256396116 T^{10} + 830045983 T^{11} + 5722896068 T^{12} + 19091057609 T^{13} + 135633545364 T^{14} + 481809927077 T^{15} + 3047089305445 T^{16} + 10400692616676 T^{17} + 54541010620159 T^{18} + 161106125675699 T^{19} + 690781201163701 T^{20} + 1576008578780125 T^{21} + 5551152502628966 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 8 T + 206 T^{2} + 1331 T^{3} + 18591 T^{4} + 100739 T^{5} + 999669 T^{6} + 4701128 T^{7} + 37127499 T^{8} + 157238933 T^{9} + 1066035942 T^{10} + 4209009739 T^{11} + 26033358196 T^{12} + 96807223997 T^{13} + 563933013318 T^{14} + 1913126097811 T^{15} + 10389796447659 T^{16} + 30258072294904 T^{17} + 147986889120741 T^{18} + 342998710705333 T^{19} + 1455879527359071 T^{20} + 2397334192407253 T^{21} + 8533861310011694 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 6 T + 69 T^{2} - 158 T^{3} + 1734 T^{4} - 102 T^{5} + 46176 T^{6} + 24414 T^{7} + 1494699 T^{8} + 1154998 T^{9} + 31572375 T^{10} + 106333854 T^{11} + 475589243 T^{12} + 2445678642 T^{13} + 16701786375 T^{14} + 14052860666 T^{15} + 418278062859 T^{16} + 157136878002 T^{17} + 6835705210464 T^{18} - 347292195594 T^{19} + 135791248477254 T^{20} - 284582120511154 T^{21} + 2858429273741781 T^{22} - 5716858547483562 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 6 T + 69 T^{2} - 158 T^{3} + 1734 T^{4} - 102 T^{5} + 46176 T^{6} + 24414 T^{7} + 1494699 T^{8} + 1154998 T^{9} + 31572375 T^{10} + 106333854 T^{11} + 475589243 T^{12} + 2445678642 T^{13} + 16701786375 T^{14} + 14052860666 T^{15} + 418278062859 T^{16} + 157136878002 T^{17} + 6835705210464 T^{18} - 347292195594 T^{19} + 135791248477254 T^{20} - 284582120511154 T^{21} + 2858429273741781 T^{22} - 5716858547483562 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 8 T + 206 T^{2} + 1331 T^{3} + 18591 T^{4} + 100739 T^{5} + 999669 T^{6} + 4701128 T^{7} + 37127499 T^{8} + 157238933 T^{9} + 1066035942 T^{10} + 4209009739 T^{11} + 26033358196 T^{12} + 96807223997 T^{13} + 563933013318 T^{14} + 1913126097811 T^{15} + 10389796447659 T^{16} + 30258072294904 T^{17} + 147986889120741 T^{18} + 342998710705333 T^{19} + 1455879527359071 T^{20} + 2397334192407253 T^{21} + 8533861310011694 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 8 T + 134 T^{2} + 875 T^{3} + 8821 T^{4} + 47317 T^{5} + 368431 T^{6} + 1615932 T^{7} + 10888645 T^{8} + 39599731 T^{9} + 256396116 T^{10} + 830045983 T^{11} + 5722896068 T^{12} + 19091057609 T^{13} + 135633545364 T^{14} + 481809927077 T^{15} + 3047089305445 T^{16} + 10400692616676 T^{17} + 54541010620159 T^{18} + 161106125675699 T^{19} + 690781201163701 T^{20} + 1576008578780125 T^{21} + 5551152502628966 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 4 T + 190 T^{2} - 774 T^{3} + 17695 T^{4} - 72496 T^{5} + 1068713 T^{6} - 4306466 T^{7} + 46628008 T^{8} - 179578834 T^{9} + 1548614734 T^{10} - 5508097494 T^{11} + 40155950195 T^{12} - 126686242362 T^{13} + 819217194286 T^{14} - 2184935673278 T^{15} + 13048428386728 T^{16} - 27717892293838 T^{17} + 158207879040857 T^{18} - 246836225605712 T^{19} + 1385712884547295 T^{20} - 1394092159972362 T^{21} + 7871037130593310 T^{22} - 3811239031655708 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 30 T + 558 T^{2} - 7504 T^{3} + 81993 T^{4} - 761538 T^{5} + 6297033 T^{6} - 47573178 T^{7} + 336910140 T^{8} - 2263203062 T^{9} + 14562156195 T^{10} - 89869018488 T^{11} + 533694494436 T^{12} - 3050874326388 T^{13} + 16848650537466 T^{14} - 89980317974452 T^{15} + 465955917542541 T^{16} - 2338762286234082 T^{17} + 11391928617250801 T^{18} - 53791532583383886 T^{19} + 246490680380004189 T^{20} - 1094790528795157484 T^{21} + 4714943215055022906 T^{22} - 19636473614527119084 T^{23} + 79005938938238813604 T^{24} - \)\(30\!\cdots\!36\)\( T^{25} + \)\(11\!\cdots\!95\)\( T^{26} - \)\(40\!\cdots\!06\)\( T^{27} + \)\(13\!\cdots\!60\)\( T^{28} - \)\(45\!\cdots\!06\)\( T^{29} + \)\(13\!\cdots\!93\)\( T^{30} - \)\(38\!\cdots\!54\)\( T^{31} + \)\(95\!\cdots\!37\)\( T^{32} - \)\(20\!\cdots\!28\)\( T^{33} + \)\(34\!\cdots\!38\)\( T^{34} - \)\(42\!\cdots\!90\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - 6 T + 198 T^{2} - 822 T^{3} + 18411 T^{4} - 57510 T^{5} + 1173377 T^{6} - 3009618 T^{7} + 58875198 T^{8} - 130391884 T^{9} + 2436723969 T^{10} - 4800061956 T^{11} + 85955081028 T^{12} - 155599730856 T^{13} + 2649888601758 T^{14} - 4495469940596 T^{15} + 72241870860009 T^{16} - 115482637220838 T^{17} + 1755833456447451 T^{18} - 2656100656079274 T^{19} + 38215949684944761 T^{20} - 54696382767231532 T^{21} + 741547476204560478 T^{22} - 1001493238496899608 T^{23} + 12724436834047013892 T^{24} - 16343373094965394332 T^{25} + \)\(19\!\cdots\!89\)\( T^{26} - \)\(23\!\cdots\!92\)\( T^{27} + \)\(24\!\cdots\!02\)\( T^{28} - \)\(28\!\cdots\!86\)\( T^{29} + \)\(25\!\cdots\!17\)\( T^{30} - \)\(28\!\cdots\!30\)\( T^{31} + \)\(21\!\cdots\!99\)\( T^{32} - \)\(21\!\cdots\!54\)\( T^{33} + \)\(12\!\cdots\!78\)\( T^{34} - \)\(84\!\cdots\!18\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - 30 T + 558 T^{2} - 7504 T^{3} + 81993 T^{4} - 761538 T^{5} + 6297033 T^{6} - 47573178 T^{7} + 336910140 T^{8} - 2263203062 T^{9} + 14562156195 T^{10} - 89869018488 T^{11} + 533694494436 T^{12} - 3050874326388 T^{13} + 16848650537466 T^{14} - 89980317974452 T^{15} + 465955917542541 T^{16} - 2338762286234082 T^{17} + 11391928617250801 T^{18} - 53791532583383886 T^{19} + 246490680380004189 T^{20} - 1094790528795157484 T^{21} + 4714943215055022906 T^{22} - 19636473614527119084 T^{23} + 79005938938238813604 T^{24} - \)\(30\!\cdots\!36\)\( T^{25} + \)\(11\!\cdots\!95\)\( T^{26} - \)\(40\!\cdots\!06\)\( T^{27} + \)\(13\!\cdots\!60\)\( T^{28} - \)\(45\!\cdots\!06\)\( T^{29} + \)\(13\!\cdots\!93\)\( T^{30} - \)\(38\!\cdots\!54\)\( T^{31} + \)\(95\!\cdots\!37\)\( T^{32} - \)\(20\!\cdots\!28\)\( T^{33} + \)\(34\!\cdots\!38\)\( T^{34} - \)\(42\!\cdots\!90\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - 6 T + 198 T^{2} - 822 T^{3} + 18411 T^{4} - 57510 T^{5} + 1173377 T^{6} - 3009618 T^{7} + 58875198 T^{8} - 130391884 T^{9} + 2436723969 T^{10} - 4800061956 T^{11} + 85955081028 T^{12} - 155599730856 T^{13} + 2649888601758 T^{14} - 4495469940596 T^{15} + 72241870860009 T^{16} - 115482637220838 T^{17} + 1755833456447451 T^{18} - 2656100656079274 T^{19} + 38215949684944761 T^{20} - 54696382767231532 T^{21} + 741547476204560478 T^{22} - 1001493238496899608 T^{23} + 12724436834047013892 T^{24} - 16343373094965394332 T^{25} + \)\(19\!\cdots\!89\)\( T^{26} - \)\(23\!\cdots\!92\)\( T^{27} + \)\(24\!\cdots\!02\)\( T^{28} - \)\(28\!\cdots\!86\)\( T^{29} + \)\(25\!\cdots\!17\)\( T^{30} - \)\(28\!\cdots\!30\)\( T^{31} + \)\(21\!\cdots\!99\)\( T^{32} - \)\(21\!\cdots\!54\)\( T^{33} + \)\(12\!\cdots\!78\)\( T^{34} - \)\(84\!\cdots\!18\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 + 4 T + 196 T^{2} + 970 T^{3} + 20542 T^{4} + 111192 T^{5} + 1521045 T^{6} + 8433012 T^{7} + 88109736 T^{8} + 483885998 T^{9} + 4209950795 T^{10} + 22484398690 T^{11} + 171179948201 T^{12} + 879940925104 T^{13} + 6037683877775 T^{14} + 29691546968960 T^{15} + 187010697566047 T^{16} + 875952773372798 T^{17} + 5126775721767740 T^{18} + 22775881494002208 T^{19} + 124959283554828049 T^{20} + 523845274362050784 T^{21} + 2712064356815134460 T^{22} + 10657717393626833266 T^{23} + 52333260617580158527 T^{24} + \)\(19\!\cdots\!80\)\( T^{25} + \)\(89\!\cdots\!75\)\( T^{26} + \)\(29\!\cdots\!88\)\( T^{27} + \)\(13\!\cdots\!81\)\( T^{28} + \)\(40\!\cdots\!70\)\( T^{29} + \)\(17\!\cdots\!55\)\( T^{30} + \)\(46\!\cdots\!46\)\( T^{31} + \)\(19\!\cdots\!56\)\( T^{32} + \)\(42\!\cdots\!96\)\( T^{33} + \)\(17\!\cdots\!05\)\( T^{34} + \)\(29\!\cdots\!44\)\( T^{35} + \)\(12\!\cdots\!62\)\( T^{36} + \)\(13\!\cdots\!10\)\( T^{37} + \)\(63\!\cdots\!24\)\( T^{38} + \)\(29\!\cdots\!48\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 + 4 T + 196 T^{2} + 970 T^{3} + 20542 T^{4} + 111192 T^{5} + 1521045 T^{6} + 8433012 T^{7} + 88109736 T^{8} + 483885998 T^{9} + 4209950795 T^{10} + 22484398690 T^{11} + 171179948201 T^{12} + 879940925104 T^{13} + 6037683877775 T^{14} + 29691546968960 T^{15} + 187010697566047 T^{16} + 875952773372798 T^{17} + 5126775721767740 T^{18} + 22775881494002208 T^{19} + 124959283554828049 T^{20} + 523845274362050784 T^{21} + 2712064356815134460 T^{22} + 10657717393626833266 T^{23} + 52333260617580158527 T^{24} + \)\(19\!\cdots\!80\)\( T^{25} + \)\(89\!\cdots\!75\)\( T^{26} + \)\(29\!\cdots\!88\)\( T^{27} + \)\(13\!\cdots\!81\)\( T^{28} + \)\(40\!\cdots\!70\)\( T^{29} + \)\(17\!\cdots\!55\)\( T^{30} + \)\(46\!\cdots\!46\)\( T^{31} + \)\(19\!\cdots\!56\)\( T^{32} + \)\(42\!\cdots\!96\)\( T^{33} + \)\(17\!\cdots\!05\)\( T^{34} + \)\(29\!\cdots\!44\)\( T^{35} + \)\(12\!\cdots\!62\)\( T^{36} + \)\(13\!\cdots\!10\)\( T^{37} + \)\(63\!\cdots\!24\)\( T^{38} + \)\(29\!\cdots\!48\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))
$29$ (\( 1 + 10 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 5 T + 63 T^{2} + 145 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 62 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 62 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 - 5 T + 63 T^{2} - 145 T^{3} + 841 T^{4} \))(\( 1 + 39 T^{2} + 64 T^{3} + 1131 T^{4} + 24389 T^{6} \))(\( 1 - 8 T + 51 T^{2} - 172 T^{3} + 1479 T^{4} - 6728 T^{5} + 24389 T^{6} \))(\( 1 - 4 T + 59 T^{2} - 116 T^{3} + 1711 T^{4} - 3364 T^{5} + 24389 T^{6} \))(\( 1 + 20 T + 211 T^{2} + 1404 T^{3} + 6119 T^{4} + 16820 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 59 T^{2} + 116 T^{3} + 1711 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 + 39 T^{2} - 64 T^{3} + 1131 T^{4} + 24389 T^{6} \))(\( 1 + 6 T + 112 T^{2} + 450 T^{3} + 4714 T^{4} + 13050 T^{5} + 94192 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 3 T + 107 T^{2} + 226 T^{3} + 4501 T^{4} + 6554 T^{5} + 89987 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( 1 - 3 T + 93 T^{2} - 190 T^{3} + 3707 T^{4} - 5510 T^{5} + 78213 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( 1 - 3 T + 107 T^{2} - 226 T^{3} + 4501 T^{4} - 6554 T^{5} + 89987 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( 1 + 3 T + 93 T^{2} + 190 T^{3} + 3707 T^{4} + 5510 T^{5} + 78213 T^{6} + 73167 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 112 T^{2} - 450 T^{3} + 4714 T^{4} - 13050 T^{5} + 94192 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 81 T^{2} + 152 T^{3} + 2838 T^{4} + 2096 T^{5} + 82302 T^{6} + 127832 T^{7} + 1975509 T^{8} + 2829124 T^{9} + 20511149 T^{10} \))(\( 1 + 89 T^{2} + 80 T^{3} + 3566 T^{4} + 4616 T^{5} + 103414 T^{6} + 67280 T^{7} + 2170621 T^{8} + 20511149 T^{10} \))(\( 1 + 72 T^{2} + 33 T^{3} + 3714 T^{4} + 958 T^{5} + 124497 T^{6} + 27782 T^{7} + 3123474 T^{8} + 804837 T^{9} + 50924232 T^{10} + 594823321 T^{12} \))(\( 1 - 11 T + 126 T^{2} - 1005 T^{3} + 7856 T^{4} - 47654 T^{5} + 285058 T^{6} - 1381966 T^{7} + 6606896 T^{8} - 24510945 T^{9} + 89117406 T^{10} - 225622639 T^{11} + 594823321 T^{12} \))(\( 1 - 11 T + 129 T^{2} - 990 T^{3} + 7948 T^{4} - 48107 T^{5} + 290040 T^{6} - 1395103 T^{7} + 6684268 T^{8} - 24145110 T^{9} + 91239249 T^{10} - 225622639 T^{11} + 594823321 T^{12} \))(\( 1 - 13 T + 167 T^{2} - 1342 T^{3} + 11046 T^{4} - 67929 T^{5} + 417648 T^{6} - 1969941 T^{7} + 9289686 T^{8} - 32730038 T^{9} + 118115927 T^{10} - 266644937 T^{11} + 594823321 T^{12} \))(\( 1 + 11 T + 129 T^{2} + 990 T^{3} + 7948 T^{4} + 48107 T^{5} + 290040 T^{6} + 1395103 T^{7} + 6684268 T^{8} + 24145110 T^{9} + 91239249 T^{10} + 225622639 T^{11} + 594823321 T^{12} \))(\( 1 + 13 T + 167 T^{2} + 1342 T^{3} + 11046 T^{4} + 67929 T^{5} + 417648 T^{6} + 1969941 T^{7} + 9289686 T^{8} + 32730038 T^{9} + 118115927 T^{10} + 266644937 T^{11} + 594823321 T^{12} \))(\( 1 + 11 T + 126 T^{2} + 1005 T^{3} + 7856 T^{4} + 47654 T^{5} + 285058 T^{6} + 1381966 T^{7} + 6606896 T^{8} + 24510945 T^{9} + 89117406 T^{10} + 225622639 T^{11} + 594823321 T^{12} \))(\( 1 + 72 T^{2} - 33 T^{3} + 3714 T^{4} - 958 T^{5} + 124497 T^{6} - 27782 T^{7} + 3123474 T^{8} - 804837 T^{9} + 50924232 T^{10} + 594823321 T^{12} \))(\( 1 + 15 T + 240 T^{2} + 2446 T^{3} + 24543 T^{4} + 195615 T^{5} + 1506256 T^{6} + 9854475 T^{7} + 62195310 T^{8} + 341056707 T^{9} + 1803663990 T^{10} + 8287613475 T^{11} + 36736077584 T^{12} + 138354772815 T^{13} + 503405129907 T^{14} + 1454937843166 T^{15} + 4139970314160 T^{16} + 7503696194415 T^{17} + 14507145975869 T^{18} \))(\( 1 - 15 T + 240 T^{2} - 2446 T^{3} + 24543 T^{4} - 195615 T^{5} + 1506256 T^{6} - 9854475 T^{7} + 62195310 T^{8} - 341056707 T^{9} + 1803663990 T^{10} - 8287613475 T^{11} + 36736077584 T^{12} - 138354772815 T^{13} + 503405129907 T^{14} - 1454937843166 T^{15} + 4139970314160 T^{16} - 7503696194415 T^{17} + 14507145975869 T^{18} \))(\( 1 + 14 T + 337 T^{2} + 3498 T^{3} + 48612 T^{4} + 405194 T^{5} + 4171161 T^{6} + 29191694 T^{7} + 244483568 T^{8} + 1476182684 T^{9} + 10537906314 T^{10} + 55745813412 T^{11} + 347308692590 T^{12} + 1616628588948 T^{13} + 8862379210074 T^{14} + 36002619480076 T^{15} + 172918582458608 T^{16} + 598755185196406 T^{17} + 2481103838445681 T^{18} + 6989546381148946 T^{19} + 24317978626860132 T^{20} + 50745996623589762 T^{21} + 141778337622167737 T^{22} + 170807136719881606 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 81 T^{2} - 35 T^{3} + 4188 T^{4} + 357 T^{5} + 142453 T^{6} + 110814 T^{7} + 3316871 T^{8} + 10172163 T^{9} + 60491451 T^{10} + 438558047 T^{11} + 1022710310 T^{12} + 12718183363 T^{13} + 50873310291 T^{14} + 248088883407 T^{15} + 2345959837751 T^{16} + 2272922465286 T^{17} + 84734366546413 T^{18} + 6158205842313 T^{19} + 2095031977480668 T^{20} - 507750109155415 T^{21} + 34077285897316281 T^{22} + 353814783205469041 T^{24} \))(\( 1 + 14 T + 251 T^{2} + 2505 T^{3} + 26908 T^{4} + 217539 T^{5} + 1788841 T^{6} + 12494182 T^{7} + 86757699 T^{8} + 543461669 T^{9} + 3346092707 T^{10} + 19088118253 T^{11} + 106407289410 T^{12} + 553555429337 T^{13} + 2814063966587 T^{14} + 13254486645241 T^{15} + 61362072106419 T^{16} + 256270028635118 T^{17} + 1064044344360961 T^{18} + 3752520842383551 T^{19} + 13460630479954588 T^{20} + 36340400669551845 T^{21} + 105597515558350451 T^{22} + 170807136719881606 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 9 T + 147 T^{2} + 759 T^{3} + 7938 T^{4} + 34128 T^{5} + 346620 T^{6} + 1772679 T^{7} + 14266677 T^{8} + 74203463 T^{9} + 456554529 T^{10} + 2400502158 T^{11} + 13243229072 T^{12} + 69614562582 T^{13} + 383962358889 T^{14} + 1809748259107 T^{15} + 10090549575237 T^{16} + 36359683098171 T^{17} + 206177659525020 T^{18} + 588703778673552 T^{19} + 3970956026084418 T^{20} + 11010923795684571 T^{21} + 61843963295129547 T^{22} + 109804587891352461 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 9 T + 147 T^{2} - 759 T^{3} + 7938 T^{4} - 34128 T^{5} + 346620 T^{6} - 1772679 T^{7} + 14266677 T^{8} - 74203463 T^{9} + 456554529 T^{10} - 2400502158 T^{11} + 13243229072 T^{12} - 69614562582 T^{13} + 383962358889 T^{14} - 1809748259107 T^{15} + 10090549575237 T^{16} - 36359683098171 T^{17} + 206177659525020 T^{18} - 588703778673552 T^{19} + 3970956026084418 T^{20} - 11010923795684571 T^{21} + 61843963295129547 T^{22} - 109804587891352461 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 14 T + 251 T^{2} - 2505 T^{3} + 26908 T^{4} - 217539 T^{5} + 1788841 T^{6} - 12494182 T^{7} + 86757699 T^{8} - 543461669 T^{9} + 3346092707 T^{10} - 19088118253 T^{11} + 106407289410 T^{12} - 553555429337 T^{13} + 2814063966587 T^{14} - 13254486645241 T^{15} + 61362072106419 T^{16} - 256270028635118 T^{17} + 1064044344360961 T^{18} - 3752520842383551 T^{19} + 13460630479954588 T^{20} - 36340400669551845 T^{21} + 105597515558350451 T^{22} - 170807136719881606 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 81 T^{2} + 35 T^{3} + 4188 T^{4} - 357 T^{5} + 142453 T^{6} - 110814 T^{7} + 3316871 T^{8} - 10172163 T^{9} + 60491451 T^{10} - 438558047 T^{11} + 1022710310 T^{12} - 12718183363 T^{13} + 50873310291 T^{14} - 248088883407 T^{15} + 2345959837751 T^{16} - 2272922465286 T^{17} + 84734366546413 T^{18} - 6158205842313 T^{19} + 2095031977480668 T^{20} + 507750109155415 T^{21} + 34077285897316281 T^{22} + 353814783205469041 T^{24} \))(\( 1 - 14 T + 337 T^{2} - 3498 T^{3} + 48612 T^{4} - 405194 T^{5} + 4171161 T^{6} - 29191694 T^{7} + 244483568 T^{8} - 1476182684 T^{9} + 10537906314 T^{10} - 55745813412 T^{11} + 347308692590 T^{12} - 1616628588948 T^{13} + 8862379210074 T^{14} - 36002619480076 T^{15} + 172918582458608 T^{16} - 598755185196406 T^{17} + 2481103838445681 T^{18} - 6989546381148946 T^{19} + 24317978626860132 T^{20} - 50745996623589762 T^{21} + 141778337622167737 T^{22} - 170807136719881606 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 21 T + 459 T^{2} + 6283 T^{3} + 83811 T^{4} + 881931 T^{5} + 8985153 T^{6} + 78315846 T^{7} + 662742846 T^{8} + 4991756028 T^{9} + 36692115564 T^{10} + 245782401432 T^{11} + 1617950404114 T^{12} + 9874546599804 T^{13} + 59782650437799 T^{14} + 340595143985335 T^{15} + 1946109136663572 T^{16} + 10592089542238008 T^{17} + 58296347320723938 T^{18} + 307170596724902232 T^{19} + 1636677783934064052 T^{20} + 8306774966658335315 T^{21} + 42283132784296914519 T^{22} + \)\(20\!\cdots\!96\)\( T^{23} + \)\(96\!\cdots\!94\)\( T^{24} + \)\(42\!\cdots\!88\)\( T^{25} + \)\(18\!\cdots\!04\)\( T^{26} + \)\(72\!\cdots\!32\)\( T^{27} + \)\(27\!\cdots\!46\)\( T^{28} + \)\(95\!\cdots\!34\)\( T^{29} + \)\(31\!\cdots\!73\)\( T^{30} + \)\(90\!\cdots\!59\)\( T^{31} + \)\(24\!\cdots\!91\)\( T^{32} + \)\(54\!\cdots\!67\)\( T^{33} + \)\(11\!\cdots\!39\)\( T^{34} + \)\(15\!\cdots\!89\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 3 T + 267 T^{2} + 695 T^{3} + 34503 T^{4} + 72255 T^{5} + 2897639 T^{6} + 4418808 T^{7} + 180331284 T^{8} + 173251844 T^{9} + 9041043384 T^{10} + 4339782756 T^{11} + 387397897824 T^{12} + 57693653838 T^{13} + 14707515022065 T^{14} - 311530492329 T^{15} + 501495832635996 T^{16} - 39070014303606 T^{17} + 15358761121611306 T^{18} - 1133030414804574 T^{19} + 421757995246872636 T^{20} - 7597917177411981 T^{21} + 10402345932321155265 T^{22} + 1183363130225639862 T^{23} + \)\(23\!\cdots\!04\)\( T^{24} + 74860715748931127604 T^{25} + \)\(45\!\cdots\!24\)\( T^{26} + \)\(25\!\cdots\!36\)\( T^{27} + \)\(75\!\cdots\!84\)\( T^{28} + \)\(53\!\cdots\!32\)\( T^{29} + \)\(10\!\cdots\!99\)\( T^{30} + \)\(74\!\cdots\!95\)\( T^{31} + \)\(10\!\cdots\!43\)\( T^{32} + \)\(59\!\cdots\!55\)\( T^{33} + \)\(66\!\cdots\!07\)\( T^{34} + \)\(21\!\cdots\!27\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 - 21 T + 459 T^{2} - 6283 T^{3} + 83811 T^{4} - 881931 T^{5} + 8985153 T^{6} - 78315846 T^{7} + 662742846 T^{8} - 4991756028 T^{9} + 36692115564 T^{10} - 245782401432 T^{11} + 1617950404114 T^{12} - 9874546599804 T^{13} + 59782650437799 T^{14} - 340595143985335 T^{15} + 1946109136663572 T^{16} - 10592089542238008 T^{17} + 58296347320723938 T^{18} - 307170596724902232 T^{19} + 1636677783934064052 T^{20} - 8306774966658335315 T^{21} + 42283132784296914519 T^{22} - \)\(20\!\cdots\!96\)\( T^{23} + \)\(96\!\cdots\!94\)\( T^{24} - \)\(42\!\cdots\!88\)\( T^{25} + \)\(18\!\cdots\!04\)\( T^{26} - \)\(72\!\cdots\!32\)\( T^{27} + \)\(27\!\cdots\!46\)\( T^{28} - \)\(95\!\cdots\!34\)\( T^{29} + \)\(31\!\cdots\!73\)\( T^{30} - \)\(90\!\cdots\!59\)\( T^{31} + \)\(24\!\cdots\!91\)\( T^{32} - \)\(54\!\cdots\!67\)\( T^{33} + \)\(11\!\cdots\!39\)\( T^{34} - \)\(15\!\cdots\!89\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 - 3 T + 267 T^{2} - 695 T^{3} + 34503 T^{4} - 72255 T^{5} + 2897639 T^{6} - 4418808 T^{7} + 180331284 T^{8} - 173251844 T^{9} + 9041043384 T^{10} - 4339782756 T^{11} + 387397897824 T^{12} - 57693653838 T^{13} + 14707515022065 T^{14} + 311530492329 T^{15} + 501495832635996 T^{16} + 39070014303606 T^{17} + 15358761121611306 T^{18} + 1133030414804574 T^{19} + 421757995246872636 T^{20} + 7597917177411981 T^{21} + 10402345932321155265 T^{22} - 1183363130225639862 T^{23} + \)\(23\!\cdots\!04\)\( T^{24} - 74860715748931127604 T^{25} + \)\(45\!\cdots\!24\)\( T^{26} - \)\(25\!\cdots\!36\)\( T^{27} + \)\(75\!\cdots\!84\)\( T^{28} - \)\(53\!\cdots\!32\)\( T^{29} + \)\(10\!\cdots\!99\)\( T^{30} - \)\(74\!\cdots\!95\)\( T^{31} + \)\(10\!\cdots\!43\)\( T^{32} - \)\(59\!\cdots\!55\)\( T^{33} + \)\(66\!\cdots\!07\)\( T^{34} - \)\(21\!\cdots\!27\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 14 T + 415 T^{2} + 4662 T^{3} + 81505 T^{4} + 783296 T^{5} + 10359108 T^{6} + 88085796 T^{7} + 966189927 T^{8} + 7416082720 T^{9} + 70635994898 T^{10} + 495602028800 T^{11} + 4208901508053 T^{12} + 27213590216208 T^{13} + 209501554860210 T^{14} + 1254644535294200 T^{15} + 8850493199098277 T^{16} + 49232854745874694 T^{17} + 320492283014807925 T^{18} + 1657678306866905434 T^{19} + 10002601212369565682 T^{20} + 48072670899140257586 T^{21} + \)\(26\!\cdots\!25\)\( T^{22} + \)\(12\!\cdots\!66\)\( T^{23} + \)\(62\!\cdots\!37\)\( T^{24} + \)\(25\!\cdots\!00\)\( T^{25} + \)\(12\!\cdots\!10\)\( T^{26} + \)\(46\!\cdots\!72\)\( T^{27} + \)\(21\!\cdots\!33\)\( T^{28} + \)\(71\!\cdots\!00\)\( T^{29} + \)\(29\!\cdots\!98\)\( T^{30} + \)\(90\!\cdots\!80\)\( T^{31} + \)\(34\!\cdots\!07\)\( T^{32} + \)\(90\!\cdots\!44\)\( T^{33} + \)\(30\!\cdots\!48\)\( T^{34} + \)\(67\!\cdots\!04\)\( T^{35} + \)\(20\!\cdots\!05\)\( T^{36} + \)\(33\!\cdots\!58\)\( T^{37} + \)\(87\!\cdots\!15\)\( T^{38} + \)\(85\!\cdots\!66\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 - 14 T + 415 T^{2} - 4662 T^{3} + 81505 T^{4} - 783296 T^{5} + 10359108 T^{6} - 88085796 T^{7} + 966189927 T^{8} - 7416082720 T^{9} + 70635994898 T^{10} - 495602028800 T^{11} + 4208901508053 T^{12} - 27213590216208 T^{13} + 209501554860210 T^{14} - 1254644535294200 T^{15} + 8850493199098277 T^{16} - 49232854745874694 T^{17} + 320492283014807925 T^{18} - 1657678306866905434 T^{19} + 10002601212369565682 T^{20} - 48072670899140257586 T^{21} + \)\(26\!\cdots\!25\)\( T^{22} - \)\(12\!\cdots\!66\)\( T^{23} + \)\(62\!\cdots\!37\)\( T^{24} - \)\(25\!\cdots\!00\)\( T^{25} + \)\(12\!\cdots\!10\)\( T^{26} - \)\(46\!\cdots\!72\)\( T^{27} + \)\(21\!\cdots\!33\)\( T^{28} - \)\(71\!\cdots\!00\)\( T^{29} + \)\(29\!\cdots\!98\)\( T^{30} - \)\(90\!\cdots\!80\)\( T^{31} + \)\(34\!\cdots\!07\)\( T^{32} - \)\(90\!\cdots\!44\)\( T^{33} + \)\(30\!\cdots\!48\)\( T^{34} - \)\(67\!\cdots\!04\)\( T^{35} + \)\(20\!\cdots\!05\)\( T^{36} - \)\(33\!\cdots\!58\)\( T^{37} + \)\(87\!\cdots\!15\)\( T^{38} - \)\(85\!\cdots\!66\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))
$31$ (\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 82 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 + 3 T + 63 T^{2} + 93 T^{3} + 961 T^{4} \))(\( 1 - 3 T + 63 T^{2} - 93 T^{3} + 961 T^{4} \))(\( 1 - 10 T + 82 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 - 15 T + 156 T^{2} - 987 T^{3} + 4836 T^{4} - 14415 T^{5} + 29791 T^{6} \))(\( 1 - 8 T + 85 T^{2} - 384 T^{3} + 2635 T^{4} - 7688 T^{5} + 29791 T^{6} \))(\( 1 + 12 T + 125 T^{2} + 760 T^{3} + 3875 T^{4} + 11532 T^{5} + 29791 T^{6} \))(\( 1 + 8 T + 53 T^{2} + 192 T^{3} + 1643 T^{4} + 7688 T^{5} + 29791 T^{6} \))(\( 1 - 12 T + 125 T^{2} - 760 T^{3} + 3875 T^{4} - 11532 T^{5} + 29791 T^{6} \))(\( 1 + 15 T + 156 T^{2} + 987 T^{3} + 4836 T^{4} + 14415 T^{5} + 29791 T^{6} \))(\( 1 + 12 T + 132 T^{2} + 1020 T^{3} + 6278 T^{4} + 31620 T^{5} + 126852 T^{6} + 357492 T^{7} + 923521 T^{8} \))(\( 1 - 11 T + 138 T^{2} - 977 T^{3} + 6655 T^{4} - 30287 T^{5} + 132618 T^{6} - 327701 T^{7} + 923521 T^{8} \))(\( 1 - 15 T + 188 T^{2} - 1475 T^{3} + 9759 T^{4} - 45725 T^{5} + 180668 T^{6} - 446865 T^{7} + 923521 T^{8} \))(\( 1 + 11 T + 138 T^{2} + 977 T^{3} + 6655 T^{4} + 30287 T^{5} + 132618 T^{6} + 327701 T^{7} + 923521 T^{8} \))(\( 1 + 15 T + 188 T^{2} + 1475 T^{3} + 9759 T^{4} + 45725 T^{5} + 180668 T^{6} + 446865 T^{7} + 923521 T^{8} \))(\( 1 - 12 T + 132 T^{2} - 1020 T^{3} + 6278 T^{4} - 31620 T^{5} + 126852 T^{6} - 357492 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 67 T^{2} - 48 T^{3} - 734 T^{4} + 13808 T^{5} - 22754 T^{6} - 46128 T^{7} + 1995997 T^{8} - 7388168 T^{9} + 28629151 T^{10} \))(\( 1 + 8 T + 147 T^{2} + 848 T^{3} + 8818 T^{4} + 37712 T^{5} + 273358 T^{6} + 814928 T^{7} + 4379277 T^{8} + 7388168 T^{9} + 28629151 T^{10} \))(\( 1 + 8 T + 120 T^{2} + 747 T^{3} + 5722 T^{4} + 31801 T^{5} + 184686 T^{6} + 985831 T^{7} + 5498842 T^{8} + 22253877 T^{9} + 110822520 T^{10} + 229033208 T^{11} + 887503681 T^{12} \))(\( 1 + 9 T + 119 T^{2} + 782 T^{3} + 7139 T^{4} + 39379 T^{5} + 279051 T^{6} + 1220749 T^{7} + 6860579 T^{8} + 23296562 T^{9} + 109898999 T^{10} + 257662359 T^{11} + 887503681 T^{12} \))(\( 1 - 5 T + 124 T^{2} - 513 T^{3} + 7492 T^{4} - 24980 T^{5} + 283166 T^{6} - 774380 T^{7} + 7199812 T^{8} - 15282783 T^{9} + 114516604 T^{10} - 143145755 T^{11} + 887503681 T^{12} \))(\( 1 - T + 62 T^{2} - 271 T^{3} + 2816 T^{4} - 13310 T^{5} + 100514 T^{6} - 412610 T^{7} + 2706176 T^{8} - 8073361 T^{9} + 57258302 T^{10} - 28629151 T^{11} + 887503681 T^{12} \))(\( 1 + 5 T + 124 T^{2} + 513 T^{3} + 7492 T^{4} + 24980 T^{5} + 283166 T^{6} + 774380 T^{7} + 7199812 T^{8} + 15282783 T^{9} + 114516604 T^{10} + 143145755 T^{11} + 887503681 T^{12} \))(\( 1 + T + 62 T^{2} + 271 T^{3} + 2816 T^{4} + 13310 T^{5} + 100514 T^{6} + 412610 T^{7} + 2706176 T^{8} + 8073361 T^{9} + 57258302 T^{10} + 28629151 T^{11} + 887503681 T^{12} \))(\( 1 - 9 T + 119 T^{2} - 782 T^{3} + 7139 T^{4} - 39379 T^{5} + 279051 T^{6} - 1220749 T^{7} + 6860579 T^{8} - 23296562 T^{9} + 109898999 T^{10} - 257662359 T^{11} + 887503681 T^{12} \))(\( 1 - 8 T + 120 T^{2} - 747 T^{3} + 5722 T^{4} - 31801 T^{5} + 184686 T^{6} - 985831 T^{7} + 5498842 T^{8} - 22253877 T^{9} + 110822520 T^{10} - 229033208 T^{11} + 887503681 T^{12} \))(\( 1 - 27 T + 537 T^{2} - 7601 T^{3} + 89871 T^{4} - 883455 T^{5} + 7582682 T^{6} - 56695005 T^{7} + 377065965 T^{8} - 2220111969 T^{9} + 11689044915 T^{10} - 54483899805 T^{11} + 225895679462 T^{12} - 815889245055 T^{13} + 2572930429521 T^{14} - 6745915479281 T^{15} + 14774273777607 T^{16} - 23028058010907 T^{17} + 26439622160671 T^{18} \))(\( 1 + 27 T + 537 T^{2} + 7601 T^{3} + 89871 T^{4} + 883455 T^{5} + 7582682 T^{6} + 56695005 T^{7} + 377065965 T^{8} + 2220111969 T^{9} + 11689044915 T^{10} + 54483899805 T^{11} + 225895679462 T^{12} + 815889245055 T^{13} + 2572930429521 T^{14} + 6745915479281 T^{15} + 14774273777607 T^{16} + 23028058010907 T^{17} + 26439622160671 T^{18} \))(\( 1 + 28 T + 579 T^{2} + 8432 T^{3} + 104191 T^{4} + 1073228 T^{5} + 9904202 T^{6} + 80988480 T^{7} + 611929207 T^{8} + 4229175412 T^{9} + 27526235499 T^{10} + 166685680700 T^{11} + 959541959903 T^{12} + 5167256101700 T^{13} + 26452712314539 T^{14} + 125991364698892 T^{15} + 565129473177847 T^{16} + 2318631423180480 T^{17} + 8790015732367562 T^{18} + 29527307817120308 T^{19} + 88863570082015231 T^{20} + 222938894058777872 T^{21} + 474564778161883779 T^{22} + 711437353099335268 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 15 T + 263 T^{2} + 2990 T^{3} + 33488 T^{4} + 305382 T^{5} + 2678688 T^{6} + 20713825 T^{7} + 153206833 T^{8} + 1033766690 T^{9} + 6695740057 T^{10} + 40166565032 T^{11} + 231759633468 T^{12} + 1245163515992 T^{13} + 6434606194777 T^{14} + 30796943461790 T^{15} + 141489727618993 T^{16} + 593019223712575 T^{17} + 2377345460250528 T^{18} + 8401857122445402 T^{19} + 28561615061824208 T^{20} + 79054470260406290 T^{21} + 215562239475950663 T^{22} + 381127153446072465 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 21 T + 375 T^{2} + 4110 T^{3} + 40596 T^{4} + 287534 T^{5} + 1920568 T^{6} + 8967523 T^{7} + 43383297 T^{8} + 107715854 T^{9} + 445991377 T^{10} - 658056384 T^{11} + 3446127252 T^{12} - 20399747904 T^{13} + 428597713297 T^{14} + 3208963006514 T^{15} + 40065385828737 T^{16} + 256732570062973 T^{17} + 1704511169610808 T^{18} + 7910811985792274 T^{19} + 34623964555954836 T^{20} + 108666847080357810 T^{21} + 307360607617800375 T^{22} + 533578014824501451 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 126 T^{2} + 45 T^{3} + 7923 T^{4} + 7224 T^{5} + 312086 T^{6} + 736140 T^{7} + 8009445 T^{8} + 46815706 T^{9} + 128795931 T^{10} + 2025822648 T^{11} + 2029814919 T^{12} + 62800502088 T^{13} + 123772889691 T^{14} + 1394686697446 T^{15} + 7396890655845 T^{16} + 21075063217140 T^{17} + 276977473788566 T^{18} + 198751124337864 T^{19} + 6757455689645043 T^{20} + 1189782997230195 T^{21} + 103273164159580926 T^{22} + 787662783788549761 T^{24} \))(\( 1 + 126 T^{2} - 45 T^{3} + 7923 T^{4} - 7224 T^{5} + 312086 T^{6} - 736140 T^{7} + 8009445 T^{8} - 46815706 T^{9} + 128795931 T^{10} - 2025822648 T^{11} + 2029814919 T^{12} - 62800502088 T^{13} + 123772889691 T^{14} - 1394686697446 T^{15} + 7396890655845 T^{16} - 21075063217140 T^{17} + 276977473788566 T^{18} - 198751124337864 T^{19} + 6757455689645043 T^{20} - 1189782997230195 T^{21} + 103273164159580926 T^{22} + 787662783788549761 T^{24} \))(\( 1 - 21 T + 375 T^{2} - 4110 T^{3} + 40596 T^{4} - 287534 T^{5} + 1920568 T^{6} - 8967523 T^{7} + 43383297 T^{8} - 107715854 T^{9} + 445991377 T^{10} + 658056384 T^{11} + 3446127252 T^{12} + 20399747904 T^{13} + 428597713297 T^{14} - 3208963006514 T^{15} + 40065385828737 T^{16} - 256732570062973 T^{17} + 1704511169610808 T^{18} - 7910811985792274 T^{19} + 34623964555954836 T^{20} - 108666847080357810 T^{21} + 307360607617800375 T^{22} - 533578014824501451 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 15 T + 263 T^{2} - 2990 T^{3} + 33488 T^{4} - 305382 T^{5} + 2678688 T^{6} - 20713825 T^{7} + 153206833 T^{8} - 1033766690 T^{9} + 6695740057 T^{10} - 40166565032 T^{11} + 231759633468 T^{12} - 1245163515992 T^{13} + 6434606194777 T^{14} - 30796943461790 T^{15} + 141489727618993 T^{16} - 593019223712575 T^{17} + 2377345460250528 T^{18} - 8401857122445402 T^{19} + 28561615061824208 T^{20} - 79054470260406290 T^{21} + 215562239475950663 T^{22} - 381127153446072465 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 28 T + 579 T^{2} - 8432 T^{3} + 104191 T^{4} - 1073228 T^{5} + 9904202 T^{6} - 80988480 T^{7} + 611929207 T^{8} - 4229175412 T^{9} + 27526235499 T^{10} - 166685680700 T^{11} + 959541959903 T^{12} - 5167256101700 T^{13} + 26452712314539 T^{14} - 125991364698892 T^{15} + 565129473177847 T^{16} - 2318631423180480 T^{17} + 8790015732367562 T^{18} - 29527307817120308 T^{19} + 88863570082015231 T^{20} - 222938894058777872 T^{21} + 474564778161883779 T^{22} - 711437353099335268 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 18 T + 369 T^{2} + 4489 T^{3} + 56535 T^{4} + 542403 T^{5} + 5292466 T^{6} + 42872106 T^{7} + 353196459 T^{8} + 2514846111 T^{9} + 18350530164 T^{10} + 118273883628 T^{11} + 790194660715 T^{12} + 4722820018659 T^{13} + 29655552736824 T^{14} + 167887729967653 T^{15} + 1011055455467982 T^{16} + 5513833093926384 T^{17} + 32235869839063409 T^{18} + 170928825911717904 T^{19} + 971624292704730702 T^{20} + 5001543363466350523 T^{21} + 27387525719064437304 T^{22} + \)\(13\!\cdots\!09\)\( T^{23} + \)\(70\!\cdots\!15\)\( T^{24} + \)\(32\!\cdots\!08\)\( T^{25} + \)\(15\!\cdots\!24\)\( T^{26} + \)\(66\!\cdots\!81\)\( T^{27} + \)\(28\!\cdots\!59\)\( T^{28} + \)\(10\!\cdots\!86\)\( T^{29} + \)\(41\!\cdots\!26\)\( T^{30} + \)\(13\!\cdots\!73\)\( T^{31} + \)\(42\!\cdots\!35\)\( T^{32} + \)\(10\!\cdots\!39\)\( T^{33} + \)\(26\!\cdots\!89\)\( T^{34} + \)\(40\!\cdots\!98\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 + 6 T + 351 T^{2} + 1793 T^{3} + 59361 T^{4} + 261219 T^{5} + 6512912 T^{6} + 24984318 T^{7} + 525921963 T^{8} + 1782719915 T^{9} + 33540496686 T^{10} + 101983019244 T^{11} + 1764181770101 T^{12} + 4882734803631 T^{13} + 78605722767132 T^{14} + 200405943342457 T^{15} + 3013494777582168 T^{16} + 7133237797642980 T^{17} + 100192683009383873 T^{18} + 221130371726932380 T^{19} + 2895968481256463448 T^{20} + 5970293458115136487 T^{21} + 72594035695624511772 T^{22} + \)\(13\!\cdots\!81\)\( T^{23} + \)\(15\!\cdots\!81\)\( T^{24} + \)\(28\!\cdots\!84\)\( T^{25} + \)\(28\!\cdots\!26\)\( T^{26} + \)\(47\!\cdots\!65\)\( T^{27} + \)\(43\!\cdots\!63\)\( T^{28} + \)\(63\!\cdots\!58\)\( T^{29} + \)\(51\!\cdots\!32\)\( T^{30} + \)\(63\!\cdots\!29\)\( T^{31} + \)\(44\!\cdots\!81\)\( T^{32} + \)\(42\!\cdots\!43\)\( T^{33} + \)\(25\!\cdots\!31\)\( T^{34} + \)\(13\!\cdots\!66\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 - 18 T + 369 T^{2} - 4489 T^{3} + 56535 T^{4} - 542403 T^{5} + 5292466 T^{6} - 42872106 T^{7} + 353196459 T^{8} - 2514846111 T^{9} + 18350530164 T^{10} - 118273883628 T^{11} + 790194660715 T^{12} - 4722820018659 T^{13} + 29655552736824 T^{14} - 167887729967653 T^{15} + 1011055455467982 T^{16} - 5513833093926384 T^{17} + 32235869839063409 T^{18} - 170928825911717904 T^{19} + 971624292704730702 T^{20} - 5001543363466350523 T^{21} + 27387525719064437304 T^{22} - \)\(13\!\cdots\!09\)\( T^{23} + \)\(70\!\cdots\!15\)\( T^{24} - \)\(32\!\cdots\!08\)\( T^{25} + \)\(15\!\cdots\!24\)\( T^{26} - \)\(66\!\cdots\!81\)\( T^{27} + \)\(28\!\cdots\!59\)\( T^{28} - \)\(10\!\cdots\!86\)\( T^{29} + \)\(41\!\cdots\!26\)\( T^{30} - \)\(13\!\cdots\!73\)\( T^{31} + \)\(42\!\cdots\!35\)\( T^{32} - \)\(10\!\cdots\!39\)\( T^{33} + \)\(26\!\cdots\!89\)\( T^{34} - \)\(40\!\cdots\!98\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 - 6 T + 351 T^{2} - 1793 T^{3} + 59361 T^{4} - 261219 T^{5} + 6512912 T^{6} - 24984318 T^{7} + 525921963 T^{8} - 1782719915 T^{9} + 33540496686 T^{10} - 101983019244 T^{11} + 1764181770101 T^{12} - 4882734803631 T^{13} + 78605722767132 T^{14} - 200405943342457 T^{15} + 3013494777582168 T^{16} - 7133237797642980 T^{17} + 100192683009383873 T^{18} - 221130371726932380 T^{19} + 2895968481256463448 T^{20} - 5970293458115136487 T^{21} + 72594035695624511772 T^{22} - \)\(13\!\cdots\!81\)\( T^{23} + \)\(15\!\cdots\!81\)\( T^{24} - \)\(28\!\cdots\!84\)\( T^{25} + \)\(28\!\cdots\!26\)\( T^{26} - \)\(47\!\cdots\!65\)\( T^{27} + \)\(43\!\cdots\!63\)\( T^{28} - \)\(63\!\cdots\!58\)\( T^{29} + \)\(51\!\cdots\!32\)\( T^{30} - \)\(63\!\cdots\!29\)\( T^{31} + \)\(44\!\cdots\!81\)\( T^{32} - \)\(42\!\cdots\!43\)\( T^{33} + \)\(25\!\cdots\!31\)\( T^{34} - \)\(13\!\cdots\!66\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 + 36 T + 899 T^{2} + 16576 T^{3} + 257427 T^{4} + 3442604 T^{5} + 41324878 T^{6} + 450302368 T^{7} + 4539727309 T^{8} + 42610981228 T^{9} + 376261495561 T^{10} + 3137216707572 T^{11} + 24854831390393 T^{12} + 187518739472284 T^{13} + 1352681901997311 T^{14} + 9341120276125684 T^{15} + 61917489788693030 T^{16} + 394161665092907492 T^{17} + 2414057028774209639 T^{18} + 14224133028937539060 T^{19} + 80720436231595578752 T^{20} + \)\(44\!\cdots\!60\)\( T^{21} + \)\(23\!\cdots\!79\)\( T^{22} + \)\(11\!\cdots\!72\)\( T^{23} + \)\(57\!\cdots\!30\)\( T^{24} + \)\(26\!\cdots\!84\)\( T^{25} + \)\(12\!\cdots\!91\)\( T^{26} + \)\(51\!\cdots\!24\)\( T^{27} + \)\(21\!\cdots\!13\)\( T^{28} + \)\(82\!\cdots\!12\)\( T^{29} + \)\(30\!\cdots\!61\)\( T^{30} + \)\(10\!\cdots\!68\)\( T^{31} + \)\(35\!\cdots\!49\)\( T^{32} + \)\(10\!\cdots\!88\)\( T^{33} + \)\(31\!\cdots\!38\)\( T^{34} + \)\(80\!\cdots\!04\)\( T^{35} + \)\(18\!\cdots\!87\)\( T^{36} + \)\(37\!\cdots\!36\)\( T^{37} + \)\(62\!\cdots\!59\)\( T^{38} + \)\(78\!\cdots\!56\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))(\( 1 - 36 T + 899 T^{2} - 16576 T^{3} + 257427 T^{4} - 3442604 T^{5} + 41324878 T^{6} - 450302368 T^{7} + 4539727309 T^{8} - 42610981228 T^{9} + 376261495561 T^{10} - 3137216707572 T^{11} + 24854831390393 T^{12} - 187518739472284 T^{13} + 1352681901997311 T^{14} - 9341120276125684 T^{15} + 61917489788693030 T^{16} - 394161665092907492 T^{17} + 2414057028774209639 T^{18} - 14224133028937539060 T^{19} + 80720436231595578752 T^{20} - \)\(44\!\cdots\!60\)\( T^{21} + \)\(23\!\cdots\!79\)\( T^{22} - \)\(11\!\cdots\!72\)\( T^{23} + \)\(57\!\cdots\!30\)\( T^{24} - \)\(26\!\cdots\!84\)\( T^{25} + \)\(12\!\cdots\!91\)\( T^{26} - \)\(51\!\cdots\!24\)\( T^{27} + \)\(21\!\cdots\!13\)\( T^{28} - \)\(82\!\cdots\!12\)\( T^{29} + \)\(30\!\cdots\!61\)\( T^{30} - \)\(10\!\cdots\!68\)\( T^{31} + \)\(35\!\cdots\!49\)\( T^{32} - \)\(10\!\cdots\!88\)\( T^{33} + \)\(31\!\cdots\!38\)\( T^{34} - \)\(80\!\cdots\!04\)\( T^{35} + \)\(18\!\cdots\!87\)\( T^{36} - \)\(37\!\cdots\!36\)\( T^{37} + \)\(62\!\cdots\!59\)\( T^{38} - \)\(78\!\cdots\!56\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))
$37$ (\( 1 - 8 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 3 T + 65 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 85 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 85 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 65 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 + 12 T + 156 T^{2} + 939 T^{3} + 5772 T^{4} + 16428 T^{5} + 50653 T^{6} \))(\( 1 - 2 T + 27 T^{2} + 84 T^{3} + 999 T^{4} - 2738 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 63 T^{2} + 232 T^{3} + 2331 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 91 T^{2} - 604 T^{3} + 3367 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 63 T^{2} - 232 T^{3} + 2331 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 156 T^{2} - 939 T^{3} + 5772 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 116 T^{2} + 380 T^{3} + 5974 T^{4} + 14060 T^{5} + 158804 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 17 T + 152 T^{2} - 727 T^{3} + 3581 T^{4} - 26899 T^{5} + 208088 T^{6} - 861101 T^{7} + 1874161 T^{8} \))(\( 1 - 3 T + 112 T^{2} - 293 T^{3} + 5717 T^{4} - 10841 T^{5} + 153328 T^{6} - 151959 T^{7} + 1874161 T^{8} \))(\( 1 + 17 T + 152 T^{2} + 727 T^{3} + 3581 T^{4} + 26899 T^{5} + 208088 T^{6} + 861101 T^{7} + 1874161 T^{8} \))(\( 1 + 3 T + 112 T^{2} + 293 T^{3} + 5717 T^{4} + 10841 T^{5} + 153328 T^{6} + 151959 T^{7} + 1874161 T^{8} \))(\( 1 - 4 T + 116 T^{2} - 380 T^{3} + 5974 T^{4} - 14060 T^{5} + 158804 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( 1 + 2 T + 129 T^{2} + 248 T^{3} + 8066 T^{4} + 13292 T^{5} + 298442 T^{6} + 339512 T^{7} + 6534237 T^{8} + 3748322 T^{9} + 69343957 T^{10} \))(\( 1 + 2 T + 65 T^{2} + 120 T^{3} + 2498 T^{4} + 2796 T^{5} + 92426 T^{6} + 164280 T^{7} + 3292445 T^{8} + 3748322 T^{9} + 69343957 T^{10} \))(\( 1 + 25 T + 432 T^{2} + 5282 T^{3} + 52145 T^{4} + 415242 T^{5} + 2777221 T^{6} + 15363954 T^{7} + 71386505 T^{8} + 267549146 T^{9} + 809637552 T^{10} + 1733598925 T^{11} + 2565726409 T^{12} \))(\( 1 - 4 T + 48 T^{2} - 170 T^{3} + 3891 T^{4} - 12196 T^{5} + 127585 T^{6} - 451252 T^{7} + 5326779 T^{8} - 8611010 T^{9} + 89959728 T^{10} - 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 - 5 T + 141 T^{2} - 936 T^{3} + 9690 T^{4} - 67421 T^{5} + 433487 T^{6} - 2494577 T^{7} + 13265610 T^{8} - 47411208 T^{9} + 264256701 T^{10} - 346719785 T^{11} + 2565726409 T^{12} \))(\( 1 + 9 T + 117 T^{2} + 488 T^{3} + 4282 T^{4} + 8049 T^{5} + 122511 T^{6} + 297813 T^{7} + 5862058 T^{8} + 24718664 T^{9} + 219276837 T^{10} + 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 + 5 T + 141 T^{2} + 936 T^{3} + 9690 T^{4} + 67421 T^{5} + 433487 T^{6} + 2494577 T^{7} + 13265610 T^{8} + 47411208 T^{9} + 264256701 T^{10} + 346719785 T^{11} + 2565726409 T^{12} \))(\( 1 - 9 T + 117 T^{2} - 488 T^{3} + 4282 T^{4} - 8049 T^{5} + 122511 T^{6} - 297813 T^{7} + 5862058 T^{8} - 24718664 T^{9} + 219276837 T^{10} - 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 + 4 T + 48 T^{2} + 170 T^{3} + 3891 T^{4} + 12196 T^{5} + 127585 T^{6} + 451252 T^{7} + 5326779 T^{8} + 8611010 T^{9} + 89959728 T^{10} + 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 - 25 T + 432 T^{2} - 5282 T^{3} + 52145 T^{4} - 415242 T^{5} + 2777221 T^{6} - 15363954 T^{7} + 71386505 T^{8} - 267549146 T^{9} + 809637552 T^{10} - 1733598925 T^{11} + 2565726409 T^{12} \))(\( 1 + 225 T^{2} - 59 T^{3} + 24483 T^{4} - 13569 T^{5} + 1706152 T^{6} - 1246245 T^{7} + 84707610 T^{8} - 61048199 T^{9} + 3134181570 T^{10} - 1706109405 T^{11} + 86421717256 T^{12} - 25430490609 T^{13} + 1697748099231 T^{14} - 151377858131 T^{15} + 21359672354925 T^{16} + 129961739795077 T^{18} \))(\( 1 + 225 T^{2} + 59 T^{3} + 24483 T^{4} + 13569 T^{5} + 1706152 T^{6} + 1246245 T^{7} + 84707610 T^{8} + 61048199 T^{9} + 3134181570 T^{10} + 1706109405 T^{11} + 86421717256 T^{12} + 25430490609 T^{13} + 1697748099231 T^{14} + 151377858131 T^{15} + 21359672354925 T^{16} + 129961739795077 T^{18} \))(\( 1 + 16 T + 448 T^{2} + 5388 T^{3} + 84846 T^{4} + 820348 T^{5} + 9367482 T^{6} + 75924352 T^{7} + 694630927 T^{8} + 4861585804 T^{9} + 37657538314 T^{10} + 232128107020 T^{11} + 1572711125125 T^{12} + 8588739959740 T^{13} + 51553169951866 T^{14} + 246253905730012 T^{15} + 1301850192777247 T^{16} + 5264895000340864 T^{17} + 24034395953232138 T^{18} + 77877175542302284 T^{19} + 298019831747381166 T^{20} + 700233854015874876 T^{21} + 2154245798843196352 T^{22} + 2846681948471366608 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 5 T + 281 T^{2} + 1263 T^{3} + 37840 T^{4} + 150119 T^{5} + 3248544 T^{6} + 11293384 T^{7} + 201560248 T^{8} + 616719209 T^{9} + 9797270883 T^{10} + 26897068408 T^{11} + 394224447974 T^{12} + 995191531096 T^{13} + 13412463838827 T^{14} + 31238678093477 T^{15} + 377756355951928 T^{16} + 783127934480488 T^{17} + 8334875131598496 T^{18} + 14251078463328827 T^{19} + 132912222536370640 T^{20} + 164141677361182251 T^{21} + 1351212208649415569 T^{22} + 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 5 T + 169 T^{2} - 723 T^{3} + 15060 T^{4} - 48663 T^{5} + 891948 T^{6} - 1822872 T^{7} + 39869236 T^{8} - 31709793 T^{9} + 1508293239 T^{10} + 209931844 T^{11} + 54857463558 T^{12} + 7767478228 T^{13} + 2064853444191 T^{14} - 1606196144829 T^{15} + 74721367210996 T^{16} - 126405157584504 T^{17} + 2288494539054732 T^{18} - 4619669936923179 T^{19} + 52897940576050260 T^{20} - 93962337871840671 T^{21} + 812650758938616481 T^{22} - 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 24 T + 441 T^{2} - 5334 T^{3} + 53523 T^{4} - 409248 T^{5} + 2614726 T^{6} - 12182442 T^{7} + 37829970 T^{8} + 57090190 T^{9} - 1716597588 T^{10} + 16661265696 T^{11} - 110471723827 T^{12} + 616466830752 T^{13} - 2350022097972 T^{14} + 2891789394070 T^{15} + 70899454405170 T^{16} - 844778734202994 T^{17} + 6708671550498934 T^{18} - 38850680852925984 T^{19} + 187998437812213683 T^{20} - 693215920066940718 T^{21} + 2120585708236271409 T^{22} - 4270022922707049912 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 24 T + 441 T^{2} + 5334 T^{3} + 53523 T^{4} + 409248 T^{5} + 2614726 T^{6} + 12182442 T^{7} + 37829970 T^{8} - 57090190 T^{9} - 1716597588 T^{10} - 16661265696 T^{11} - 110471723827 T^{12} - 616466830752 T^{13} - 2350022097972 T^{14} - 2891789394070 T^{15} + 70899454405170 T^{16} + 844778734202994 T^{17} + 6708671550498934 T^{18} + 38850680852925984 T^{19} + 187998437812213683 T^{20} + 693215920066940718 T^{21} + 2120585708236271409 T^{22} + 4270022922707049912 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 5 T + 169 T^{2} + 723 T^{3} + 15060 T^{4} + 48663 T^{5} + 891948 T^{6} + 1822872 T^{7} + 39869236 T^{8} + 31709793 T^{9} + 1508293239 T^{10} - 209931844 T^{11} + 54857463558 T^{12} - 7767478228 T^{13} + 2064853444191 T^{14} + 1606196144829 T^{15} + 74721367210996 T^{16} + 126405157584504 T^{17} + 2288494539054732 T^{18} + 4619669936923179 T^{19} + 52897940576050260 T^{20} + 93962337871840671 T^{21} + 812650758938616481 T^{22} + 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 5 T + 281 T^{2} - 1263 T^{3} + 37840 T^{4} - 150119 T^{5} + 3248544 T^{6} - 11293384 T^{7} + 201560248 T^{8} - 616719209 T^{9} + 9797270883 T^{10} - 26897068408 T^{11} + 394224447974 T^{12} - 995191531096 T^{13} + 13412463838827 T^{14} - 31238678093477 T^{15} + 377756355951928 T^{16} - 783127934480488 T^{17} + 8334875131598496 T^{18} - 14251078463328827 T^{19} + 132912222536370640 T^{20} - 164141677361182251 T^{21} + 1351212208649415569 T^{22} - 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 16 T + 448 T^{2} - 5388 T^{3} + 84846 T^{4} - 820348 T^{5} + 9367482 T^{6} - 75924352 T^{7} + 694630927 T^{8} - 4861585804 T^{9} + 37657538314 T^{10} - 232128107020 T^{11} + 1572711125125 T^{12} - 8588739959740 T^{13} + 51553169951866 T^{14} - 246253905730012 T^{15} + 1301850192777247 T^{16} - 5264895000340864 T^{17} + 24034395953232138 T^{18} - 77877175542302284 T^{19} + 298019831747381166 T^{20} - 700233854015874876 T^{21} + 2154245798843196352 T^{22} - 2846681948471366608 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 24 T + 537 T^{2} + 7768 T^{3} + 105927 T^{4} + 1139658 T^{5} + 11780853 T^{6} + 102774744 T^{7} + 881220825 T^{8} + 6600635838 T^{9} + 50125702617 T^{10} + 341476775082 T^{11} + 2447786743260 T^{12} + 16049301218160 T^{13} + 113050309349067 T^{14} + 727487688793432 T^{15} + 4976978016429177 T^{16} + 30645978792241362 T^{17} + 197213973765948083 T^{18} + 1133901215312930394 T^{19} + 6813482904491543313 T^{20} + 36849433900453711096 T^{21} + \)\(21\!\cdots\!87\)\( T^{22} + \)\(11\!\cdots\!20\)\( T^{23} + \)\(62\!\cdots\!40\)\( T^{24} + \)\(32\!\cdots\!06\)\( T^{25} + \)\(17\!\cdots\!57\)\( T^{26} + \)\(85\!\cdots\!26\)\( T^{27} + \)\(42\!\cdots\!25\)\( T^{28} + \)\(18\!\cdots\!72\)\( T^{29} + \)\(77\!\cdots\!93\)\( T^{30} + \)\(27\!\cdots\!26\)\( T^{31} + \)\(95\!\cdots\!03\)\( T^{32} + \)\(25\!\cdots\!24\)\( T^{33} + \)\(66\!\cdots\!17\)\( T^{34} + \)\(10\!\cdots\!08\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 + 36 T + 1053 T^{2} + 21648 T^{3} + 387099 T^{4} + 5799102 T^{5} + 78305313 T^{6} + 939100752 T^{7} + 10369979337 T^{8} + 104641515926 T^{9} + 986383534185 T^{10} + 8644679785686 T^{11} + 71549579343688 T^{12} + 557297064696864 T^{13} + 4135604115103767 T^{14} + 29142047386943064 T^{15} + 196971166425895557 T^{16} + 1271767582474365354 T^{17} + 7906430325875903019 T^{18} + 47055400551551518098 T^{19} + \)\(26\!\cdots\!33\)\( T^{20} + \)\(14\!\cdots\!92\)\( T^{21} + \)\(77\!\cdots\!87\)\( T^{22} + \)\(38\!\cdots\!48\)\( T^{23} + \)\(18\!\cdots\!92\)\( T^{24} + \)\(82\!\cdots\!38\)\( T^{25} + \)\(34\!\cdots\!85\)\( T^{26} + \)\(13\!\cdots\!02\)\( T^{27} + \)\(49\!\cdots\!13\)\( T^{28} + \)\(16\!\cdots\!76\)\( T^{29} + \)\(51\!\cdots\!53\)\( T^{30} + \)\(14\!\cdots\!94\)\( T^{31} + \)\(34\!\cdots\!11\)\( T^{32} + \)\(72\!\cdots\!64\)\( T^{33} + \)\(12\!\cdots\!73\)\( T^{34} + \)\(16\!\cdots\!12\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 - 24 T + 537 T^{2} - 7768 T^{3} + 105927 T^{4} - 1139658 T^{5} + 11780853 T^{6} - 102774744 T^{7} + 881220825 T^{8} - 6600635838 T^{9} + 50125702617 T^{10} - 341476775082 T^{11} + 2447786743260 T^{12} - 16049301218160 T^{13} + 113050309349067 T^{14} - 727487688793432 T^{15} + 4976978016429177 T^{16} - 30645978792241362 T^{17} + 197213973765948083 T^{18} - 1133901215312930394 T^{19} + 6813482904491543313 T^{20} - 36849433900453711096 T^{21} + \)\(21\!\cdots\!87\)\( T^{22} - \)\(11\!\cdots\!20\)\( T^{23} + \)\(62\!\cdots\!40\)\( T^{24} - \)\(32\!\cdots\!06\)\( T^{25} + \)\(17\!\cdots\!57\)\( T^{26} - \)\(85\!\cdots\!26\)\( T^{27} + \)\(42\!\cdots\!25\)\( T^{28} - \)\(18\!\cdots\!72\)\( T^{29} + \)\(77\!\cdots\!93\)\( T^{30} - \)\(27\!\cdots\!26\)\( T^{31} + \)\(95\!\cdots\!03\)\( T^{32} - \)\(25\!\cdots\!24\)\( T^{33} + \)\(66\!\cdots\!17\)\( T^{34} - \)\(10\!\cdots\!08\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 - 36 T + 1053 T^{2} - 21648 T^{3} + 387099 T^{4} - 5799102 T^{5} + 78305313 T^{6} - 939100752 T^{7} + 10369979337 T^{8} - 104641515926 T^{9} + 986383534185 T^{10} - 8644679785686 T^{11} + 71549579343688 T^{12} - 557297064696864 T^{13} + 4135604115103767 T^{14} - 29142047386943064 T^{15} + 196971166425895557 T^{16} - 1271767582474365354 T^{17} + 7906430325875903019 T^{18} - 47055400551551518098 T^{19} + \)\(26\!\cdots\!33\)\( T^{20} - \)\(14\!\cdots\!92\)\( T^{21} + \)\(77\!\cdots\!87\)\( T^{22} - \)\(38\!\cdots\!48\)\( T^{23} + \)\(18\!\cdots\!92\)\( T^{24} - \)\(82\!\cdots\!38\)\( T^{25} + \)\(34\!\cdots\!85\)\( T^{26} - \)\(13\!\cdots\!02\)\( T^{27} + \)\(49\!\cdots\!13\)\( T^{28} - \)\(16\!\cdots\!76\)\( T^{29} + \)\(51\!\cdots\!53\)\( T^{30} - \)\(14\!\cdots\!94\)\( T^{31} + \)\(34\!\cdots\!11\)\( T^{32} - \)\(72\!\cdots\!64\)\( T^{33} + \)\(12\!\cdots\!73\)\( T^{34} - \)\(16\!\cdots\!12\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 + 8 T + 264 T^{2} + 1236 T^{3} + 29154 T^{4} + 63500 T^{5} + 2109602 T^{6} + 1084568 T^{7} + 136721213 T^{8} - 12034436 T^{9} + 8169312922 T^{10} - 4343991164 T^{11} + 413600247241 T^{12} - 486474697548 T^{13} + 19009418643774 T^{14} - 28204138168932 T^{15} + 844408962662414 T^{16} - 1297678662332488 T^{17} + 34302897573933950 T^{18} - 59182605831469080 T^{19} + 1288023615608702162 T^{20} - 2189756415764355960 T^{21} + 46960666778715577550 T^{22} - 65731317283127514664 T^{23} + \)\(15\!\cdots\!54\)\( T^{24} - \)\(19\!\cdots\!24\)\( T^{25} + \)\(48\!\cdots\!66\)\( T^{26} - \)\(46\!\cdots\!84\)\( T^{27} + \)\(14\!\cdots\!61\)\( T^{28} - \)\(56\!\cdots\!28\)\( T^{29} + \)\(39\!\cdots\!78\)\( T^{30} - \)\(21\!\cdots\!68\)\( T^{31} + \)\(90\!\cdots\!53\)\( T^{32} + \)\(26\!\cdots\!96\)\( T^{33} + \)\(19\!\cdots\!78\)\( T^{34} + \)\(21\!\cdots\!00\)\( T^{35} + \)\(35\!\cdots\!14\)\( T^{36} + \)\(56\!\cdots\!12\)\( T^{37} + \)\(44\!\cdots\!56\)\( T^{38} + \)\(49\!\cdots\!84\)\( T^{39} + \)\(23\!\cdots\!01\)\( T^{40} \))(\( 1 - 8 T + 264 T^{2} - 1236 T^{3} + 29154 T^{4} - 63500 T^{5} + 2109602 T^{6} - 1084568 T^{7} + 136721213 T^{8} + 12034436 T^{9} + 8169312922 T^{10} + 4343991164 T^{11} + 413600247241 T^{12} + 486474697548 T^{13} + 19009418643774 T^{14} + 28204138168932 T^{15} + 844408962662414 T^{16} + 1297678662332488 T^{17} + 34302897573933950 T^{18} + 59182605831469080 T^{19} + 1288023615608702162 T^{20} + 2189756415764355960 T^{21} + 46960666778715577550 T^{22} + 65731317283127514664 T^{23} + \)\(15\!\cdots\!54\)\( T^{24} + \)\(19\!\cdots\!24\)\( T^{25} + \)\(48\!\cdots\!66\)\( T^{26} + \)\(46\!\cdots\!84\)\( T^{27} + \)\(14\!\cdots\!61\)\( T^{28} + \)\(56\!\cdots\!28\)\( T^{29} + \)\(39\!\cdots\!78\)\( T^{30} + \)\(21\!\cdots\!68\)\( T^{31} + \)\(90\!\cdots\!53\)\( T^{32} - \)\(26\!\cdots\!96\)\( T^{33} + \)\(19\!\cdots\!78\)\( T^{34} - \)\(21\!\cdots\!00\)\( T^{35} + \)\(35\!\cdots\!14\)\( T^{36} - \)\(56\!\cdots\!12\)\( T^{37} + \)\(44\!\cdots\!56\)\( T^{38} - \)\(49\!\cdots\!84\)\( T^{39} + \)\(23\!\cdots\!01\)\( T^{40} \))
$41$ (\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 5 T + 87 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 63 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 - 2 T + 63 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 + 5 T + 87 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 + 6 T + 24 T^{2} - 45 T^{3} + 984 T^{4} + 10086 T^{5} + 68921 T^{6} \))(\( 1 + 22 T + 263 T^{2} + 2020 T^{3} + 10783 T^{4} + 36982 T^{5} + 68921 T^{6} \))(\( 1 + 10 T + 143 T^{2} + 812 T^{3} + 5863 T^{4} + 16810 T^{5} + 68921 T^{6} \))(\( 1 + 14 T + 135 T^{2} + 852 T^{3} + 5535 T^{4} + 23534 T^{5} + 68921 T^{6} \))(\( 1 - 10 T + 143 T^{2} - 812 T^{3} + 5863 T^{4} - 16810 T^{5} + 68921 T^{6} \))(\( 1 - 6 T + 24 T^{2} + 45 T^{3} + 984 T^{4} - 10086 T^{5} + 68921 T^{6} \))(\( 1 + 16 T + 236 T^{2} + 2048 T^{3} + 16006 T^{4} + 83968 T^{5} + 396716 T^{6} + 1102736 T^{7} + 2825761 T^{8} \))(\( 1 - 17 T + 260 T^{2} - 2311 T^{3} + 18135 T^{4} - 94751 T^{5} + 437060 T^{6} - 1171657 T^{7} + 2825761 T^{8} \))(\( 1 - T + 20 T^{2} - 63 T^{3} + 1325 T^{4} - 2583 T^{5} + 33620 T^{6} - 68921 T^{7} + 2825761 T^{8} \))(\( 1 + 17 T + 260 T^{2} + 2311 T^{3} + 18135 T^{4} + 94751 T^{5} + 437060 T^{6} + 1171657 T^{7} + 2825761 T^{8} \))(\( 1 + T + 20 T^{2} + 63 T^{3} + 1325 T^{4} + 2583 T^{5} + 33620 T^{6} + 68921 T^{7} + 2825761 T^{8} \))(\( 1 - 16 T + 236 T^{2} - 2048 T^{3} + 16006 T^{4} - 83968 T^{5} + 396716 T^{6} - 1102736 T^{7} + 2825761 T^{8} \))(\( 1 + 10 T + 133 T^{2} + 872 T^{3} + 7490 T^{4} + 38300 T^{5} + 307090 T^{6} + 1465832 T^{7} + 9166493 T^{8} + 28257610 T^{9} + 115856201 T^{10} \))(\( 1 + 2 T + 133 T^{2} + 424 T^{3} + 8130 T^{4} + 27948 T^{5} + 333330 T^{6} + 712744 T^{7} + 9166493 T^{8} + 5651522 T^{9} + 115856201 T^{10} \))(\( 1 - 11 T + 242 T^{2} - 1954 T^{3} + 24039 T^{4} - 148510 T^{5} + 1295387 T^{6} - 6088910 T^{7} + 40409559 T^{8} - 134671634 T^{9} + 683834162 T^{10} - 1274418211 T^{11} + 4750104241 T^{12} \))(\( 1 - 6 T + 120 T^{2} - 618 T^{3} + 8125 T^{4} - 41894 T^{5} + 407583 T^{6} - 1717654 T^{7} + 13658125 T^{8} - 42593178 T^{9} + 339091320 T^{10} - 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 - 5 T + 167 T^{2} - 672 T^{3} + 12648 T^{4} - 43243 T^{5} + 615735 T^{6} - 1772963 T^{7} + 21261288 T^{8} - 46314912 T^{9} + 471902087 T^{10} - 579281005 T^{11} + 4750104241 T^{12} \))(\( 1 + 3 T + 131 T^{2} + 348 T^{3} + 8234 T^{4} + 22817 T^{5} + 375861 T^{6} + 935497 T^{7} + 13841354 T^{8} + 23984508 T^{9} + 370174691 T^{10} + 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 + 5 T + 167 T^{2} + 672 T^{3} + 12648 T^{4} + 43243 T^{5} + 615735 T^{6} + 1772963 T^{7} + 21261288 T^{8} + 46314912 T^{9} + 471902087 T^{10} + 579281005 T^{11} + 4750104241 T^{12} \))(\( 1 - 3 T + 131 T^{2} - 348 T^{3} + 8234 T^{4} - 22817 T^{5} + 375861 T^{6} - 935497 T^{7} + 13841354 T^{8} - 23984508 T^{9} + 370174691 T^{10} - 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 + 6 T + 120 T^{2} + 618 T^{3} + 8125 T^{4} + 41894 T^{5} + 407583 T^{6} + 1717654 T^{7} + 13658125 T^{8} + 42593178 T^{9} + 339091320 T^{10} + 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 + 11 T + 242 T^{2} + 1954 T^{3} + 24039 T^{4} + 148510 T^{5} + 1295387 T^{6} + 6088910 T^{7} + 40409559 T^{8} + 134671634 T^{9} + 683834162 T^{10} + 1274418211 T^{11} + 4750104241 T^{12} \))(\( 1 + 9 T + 213 T^{2} + 1270 T^{3} + 17235 T^{4} + 61623 T^{5} + 690192 T^{6} + 643359 T^{7} + 16927266 T^{8} - 30315645 T^{9} + 694017906 T^{10} + 1081486479 T^{11} + 47568722832 T^{12} + 174131870103 T^{13} + 1996781624235 T^{14} + 6032632386070 T^{15} + 41482660336653 T^{16} + 71864327062089 T^{17} + 327381934393961 T^{18} \))(\( 1 - 9 T + 213 T^{2} - 1270 T^{3} + 17235 T^{4} - 61623 T^{5} + 690192 T^{6} - 643359 T^{7} + 16927266 T^{8} + 30315645 T^{9} + 694017906 T^{10} - 1081486479 T^{11} + 47568722832 T^{12} - 174131870103 T^{13} + 1996781624235 T^{14} - 6032632386070 T^{15} + 41482660336653 T^{16} - 71864327062089 T^{17} + 327381934393961 T^{18} \))(\( 1 + 20 T + 422 T^{2} + 5568 T^{3} + 73636 T^{4} + 768662 T^{5} + 7924804 T^{6} + 69851238 T^{7} + 606071709 T^{8} + 4664291714 T^{9} + 35323261252 T^{10} + 241284684124 T^{11} + 1622533755365 T^{12} + 9892672049084 T^{13} + 59378402164612 T^{14} + 321467649220594 T^{15} + 1712613798495549 T^{16} + 8092699069826838 T^{17} + 37643645089493764 T^{18} + 149700209669917222 T^{19} + 587977954171553956 T^{20} + 1822862610705574848 T^{21} + 5664362228884313222 T^{22} + 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 13 T + 297 T^{2} + 2433 T^{3} + 31342 T^{4} + 156339 T^{5} + 1631398 T^{6} + 4177908 T^{7} + 68884978 T^{8} + 178156577 T^{9} + 4368684477 T^{10} + 16920383626 T^{11} + 233702719526 T^{12} + 693735728666 T^{13} + 7343758605837 T^{14} + 12278729443417 T^{15} + 194652484318258 T^{16} + 484036549007508 T^{17} + 7749310558558918 T^{18} + 30447688424281659 T^{19} + 250263526531110382 T^{20} + 796520246380507113 T^{21} + 3986529815115263097 T^{22} + 7154277412311229733 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 35 T + 803 T^{2} + 13861 T^{3} + 199632 T^{4} + 2478485 T^{5} + 27354338 T^{6} + 271978548 T^{7} + 2469146538 T^{8} + 20590445203 T^{9} + 158766991319 T^{10} + 1134578680540 T^{11} + 7536449762898 T^{12} + 46517725902140 T^{13} + 266887312407239 T^{14} + 1419114073835963 T^{15} + 6977217990365418 T^{16} + 31510401324776148 T^{17} + 129935956943547458 T^{18} + 482695546499950285 T^{19} + 1594046593339883472 T^{20} + 4537840992634693421 T^{21} + 10778395426052378003 T^{22} + 19261516110068695435 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 3 T + 291 T^{2} + 1043 T^{3} + 42606 T^{4} + 169566 T^{5} + 4187501 T^{6} + 17169741 T^{7} + 307653810 T^{8} + 1222139259 T^{9} + 17689169706 T^{10} + 65102408718 T^{11} + 810528096569 T^{12} + 2669198757438 T^{13} + 29735494275786 T^{14} + 84231059869539 T^{15} + 869356137799410 T^{16} + 1989220964413941 T^{17} + 19891066259291741 T^{18} + 33023703204905646 T^{19} + 340205724311929326 T^{20} + 341459357572901323 T^{21} + 3905993859254348691 T^{22} + 1650987095148745323 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 3 T + 291 T^{2} - 1043 T^{3} + 42606 T^{4} - 169566 T^{5} + 4187501 T^{6} - 17169741 T^{7} + 307653810 T^{8} - 1222139259 T^{9} + 17689169706 T^{10} - 65102408718 T^{11} + 810528096569 T^{12} - 2669198757438 T^{13} + 29735494275786 T^{14} - 84231059869539 T^{15} + 869356137799410 T^{16} - 1989220964413941 T^{17} + 19891066259291741 T^{18} - 33023703204905646 T^{19} + 340205724311929326 T^{20} - 341459357572901323 T^{21} + 3905993859254348691 T^{22} - 1650987095148745323 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 35 T + 803 T^{2} - 13861 T^{3} + 199632 T^{4} - 2478485 T^{5} + 27354338 T^{6} - 271978548 T^{7} + 2469146538 T^{8} - 20590445203 T^{9} + 158766991319 T^{10} - 1134578680540 T^{11} + 7536449762898 T^{12} - 46517725902140 T^{13} + 266887312407239 T^{14} - 1419114073835963 T^{15} + 6977217990365418 T^{16} - 31510401324776148 T^{17} + 129935956943547458 T^{18} - 482695546499950285 T^{19} + 1594046593339883472 T^{20} - 4537840992634693421 T^{21} + 10778395426052378003 T^{22} - 19261516110068695435 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 13 T + 297 T^{2} - 2433 T^{3} + 31342 T^{4} - 156339 T^{5} + 1631398 T^{6} - 4177908 T^{7} + 68884978 T^{8} - 178156577 T^{9} + 4368684477 T^{10} - 16920383626 T^{11} + 233702719526 T^{12} - 693735728666 T^{13} + 7343758605837 T^{14} - 12278729443417 T^{15} + 194652484318258 T^{16} - 484036549007508 T^{17} + 7749310558558918 T^{18} - 30447688424281659 T^{19} + 250263526531110382 T^{20} - 796520246380507113 T^{21} + 3986529815115263097 T^{22} - 7154277412311229733 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 20 T + 422 T^{2} - 5568 T^{3} + 73636 T^{4} - 768662 T^{5} + 7924804 T^{6} - 69851238 T^{7} + 606071709 T^{8} - 4664291714 T^{9} + 35323261252 T^{10} - 241284684124 T^{11} + 1622533755365 T^{12} - 9892672049084 T^{13} + 59378402164612 T^{14} - 321467649220594 T^{15} + 1712613798495549 T^{16} - 8092699069826838 T^{17} + 37643645089493764 T^{18} - 149700209669917222 T^{19} + 587977954171553956 T^{20} - 1822862610705574848 T^{21} + 5664362228884313222 T^{22} - 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 21 T + 579 T^{2} - 8933 T^{3} + 151242 T^{4} - 1908138 T^{5} + 25044962 T^{6} - 272007510 T^{7} + 3007351977 T^{8} - 28938031656 T^{9} + 280551449868 T^{10} - 2433935588004 T^{11} + 21160272138027 T^{12} - 167325092834580 T^{13} + 1322023824191301 T^{14} - 9591740226465091 T^{15} + 69424633469831070 T^{16} - 463777169275832319 T^{17} + 3088632640823763501 T^{18} - 19014863940309125079 T^{19} + \)\(11\!\cdots\!70\)\( T^{20} - \)\(66\!\cdots\!11\)\( T^{21} + \)\(37\!\cdots\!61\)\( T^{22} - \)\(19\!\cdots\!80\)\( T^{23} + \)\(10\!\cdots\!07\)\( T^{24} - \)\(47\!\cdots\!24\)\( T^{25} + \)\(22\!\cdots\!28\)\( T^{26} - \)\(94\!\cdots\!16\)\( T^{27} + \)\(40\!\cdots\!77\)\( T^{28} - \)\(14\!\cdots\!10\)\( T^{29} + \)\(56\!\cdots\!22\)\( T^{30} - \)\(17\!\cdots\!98\)\( T^{31} + \)\(57\!\cdots\!62\)\( T^{32} - \)\(13\!\cdots\!33\)\( T^{33} + \)\(36\!\cdots\!39\)\( T^{34} - \)\(54\!\cdots\!01\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( 1 - 21 T + 615 T^{2} - 9291 T^{3} + 159444 T^{4} - 1914852 T^{5} + 24576152 T^{6} - 248127774 T^{7} + 2620338171 T^{8} - 23129541378 T^{9} + 212369583624 T^{10} - 1691470356756 T^{11} + 14025690960515 T^{12} - 103285411366134 T^{13} + 792578892925149 T^{14} - 5470476299937469 T^{15} + 39275109207036852 T^{16} - 254837966811466983 T^{17} + 1715651116721836587 T^{18} - 10448356639270146303 T^{19} + 66021458577028948212 T^{20} - \)\(37\!\cdots\!49\)\( T^{21} + \)\(22\!\cdots\!89\)\( T^{22} - \)\(11\!\cdots\!34\)\( T^{23} + \)\(66\!\cdots\!15\)\( T^{24} - \)\(32\!\cdots\!36\)\( T^{25} + \)\(16\!\cdots\!04\)\( T^{26} - \)\(75\!\cdots\!58\)\( T^{27} + \)\(35\!\cdots\!71\)\( T^{28} - \)\(13\!\cdots\!34\)\( T^{29} + \)\(55\!\cdots\!12\)\( T^{30} - \)\(17\!\cdots\!92\)\( T^{31} + \)\(60\!\cdots\!84\)\( T^{32} - \)\(14\!\cdots\!91\)\( T^{33} + \)\(39\!\cdots\!15\)\( T^{34} - \)\(54\!\cdots\!01\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( 1 + 21 T + 579 T^{2} + 8933 T^{3} + 151242 T^{4} + 1908138 T^{5} + 25044962 T^{6} + 272007510 T^{7} + 3007351977 T^{8} + 28938031656 T^{9} + 280551449868 T^{10} + 2433935588004 T^{11} + 21160272138027 T^{12} + 167325092834580 T^{13} + 1322023824191301 T^{14} + 9591740226465091 T^{15} + 69424633469831070 T^{16} + 463777169275832319 T^{17} + 3088632640823763501 T^{18} + 19014863940309125079 T^{19} + \)\(11\!\cdots\!70\)\( T^{20} + \)\(66\!\cdots\!11\)\( T^{21} + \)\(37\!\cdots\!61\)\( T^{22} + \)\(19\!\cdots\!80\)\( T^{23} + \)\(10\!\cdots\!07\)\( T^{24} + \)\(47\!\cdots\!24\)\( T^{25} + \)\(22\!\cdots\!28\)\( T^{26} + \)\(94\!\cdots\!16\)\( T^{27} + \)\(40\!\cdots\!77\)\( T^{28} + \)\(14\!\cdots\!10\)\( T^{29} + \)\(56\!\cdots\!22\)\( T^{30} + \)\(17\!\cdots\!98\)\( T^{31} + \)\(57\!\cdots\!62\)\( T^{32} + \)\(13\!\cdots\!33\)\( T^{33} + \)\(36\!\cdots\!39\)\( T^{34} + \)\(54\!\cdots\!01\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( 1 + 21 T + 615 T^{2} + 9291 T^{3} + 159444 T^{4} + 1914852 T^{5} + 24576152 T^{6} + 248127774 T^{7} + 2620338171 T^{8} + 23129541378 T^{9} + 212369583624 T^{10} + 1691470356756 T^{11} + 14025690960515 T^{12} + 103285411366134 T^{13} + 792578892925149 T^{14} + 5470476299937469 T^{15} + 39275109207036852 T^{16} + 254837966811466983 T^{17} + 1715651116721836587 T^{18} + 10448356639270146303 T^{19} + 66021458577028948212 T^{20} + \)\(37\!\cdots\!49\)\( T^{21} + \)\(22\!\cdots\!89\)\( T^{22} + \)\(11\!\cdots\!34\)\( T^{23} + \)\(66\!\cdots\!15\)\( T^{24} + \)\(32\!\cdots\!36\)\( T^{25} + \)\(16\!\cdots\!04\)\( T^{26} + \)\(75\!\cdots\!58\)\( T^{27} + \)\(35\!\cdots\!71\)\( T^{28} + \)\(13\!\cdots\!34\)\( T^{29} + \)\(55\!\cdots\!12\)\( T^{30} + \)\(17\!\cdots\!92\)\( T^{31} + \)\(60\!\cdots\!84\)\( T^{32} + \)\(14\!\cdots\!91\)\( T^{33} + \)\(39\!\cdots\!15\)\( T^{34} + \)\(54\!\cdots\!01\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( 1 + 20 T + 534 T^{2} + 7872 T^{3} + 129652 T^{4} + 1580706 T^{5} + 20282492 T^{6} + 215132962 T^{7} + 2338860675 T^{8} + 22195440318 T^{9} + 213202733828 T^{10} + 1843226597692 T^{11} + 16038156453541 T^{12} + 127958134858480 T^{13} + 1025213779747016 T^{14} + 7621332344393042 T^{15} + 56870914623544312 T^{16} + 396712032157481898 T^{17} + 2778564941650649570 T^{18} + 18269869009520967730 T^{19} + \)\(12\!\cdots\!14\)\( T^{20} + \)\(74\!\cdots\!30\)\( T^{21} + \)\(46\!\cdots\!70\)\( T^{22} + \)\(27\!\cdots\!58\)\( T^{23} + \)\(16\!\cdots\!32\)\( T^{24} + \)\(88\!\cdots\!42\)\( T^{25} + \)\(48\!\cdots\!56\)\( T^{26} + \)\(24\!\cdots\!80\)\( T^{27} + \)\(12\!\cdots\!61\)\( T^{28} + \)\(60\!\cdots\!12\)\( T^{29} + \)\(28\!\cdots\!28\)\( T^{30} + \)\(12\!\cdots\!38\)\( T^{31} + \)\(52\!\cdots\!75\)\( T^{32} + \)\(19\!\cdots\!02\)\( T^{33} + \)\(76\!\cdots\!12\)\( T^{34} + \)\(24\!\cdots\!06\)\( T^{35} + \)\(82\!\cdots\!32\)\( T^{36} + \)\(20\!\cdots\!32\)\( T^{37} + \)\(57\!\cdots\!14\)\( T^{38} + \)\(87\!\cdots\!20\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 - 20 T + 534 T^{2} - 7872 T^{3} + 129652 T^{4} - 1580706 T^{5} + 20282492 T^{6} - 215132962 T^{7} + 2338860675 T^{8} - 22195440318 T^{9} + 213202733828 T^{10} - 1843226597692 T^{11} + 16038156453541 T^{12} - 127958134858480 T^{13} + 1025213779747016 T^{14} - 7621332344393042 T^{15} + 56870914623544312 T^{16} - 396712032157481898 T^{17} + 2778564941650649570 T^{18} - 18269869009520967730 T^{19} + \)\(12\!\cdots\!14\)\( T^{20} - \)\(74\!\cdots\!30\)\( T^{21} + \)\(46\!\cdots\!70\)\( T^{22} - \)\(27\!\cdots\!58\)\( T^{23} + \)\(16\!\cdots\!32\)\( T^{24} - \)\(88\!\cdots\!42\)\( T^{25} + \)\(48\!\cdots\!56\)\( T^{26} - \)\(24\!\cdots\!80\)\( T^{27} + \)\(12\!\cdots\!61\)\( T^{28} - \)\(60\!\cdots\!12\)\( T^{29} + \)\(28\!\cdots\!28\)\( T^{30} - \)\(12\!\cdots\!38\)\( T^{31} + \)\(52\!\cdots\!75\)\( T^{32} - \)\(19\!\cdots\!02\)\( T^{33} + \)\(76\!\cdots\!12\)\( T^{34} - \)\(24\!\cdots\!06\)\( T^{35} + \)\(82\!\cdots\!32\)\( T^{36} - \)\(20\!\cdots\!32\)\( T^{37} + \)\(57\!\cdots\!14\)\( T^{38} - \)\(87\!\cdots\!20\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))
$43$ (\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 10 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 97 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 97 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{3} \))(\( 1 - 16 T + 185 T^{2} - 1424 T^{3} + 7955 T^{4} - 29584 T^{5} + 79507 T^{6} \))(\( 1 + 16 T + 201 T^{2} + 1456 T^{3} + 8643 T^{4} + 29584 T^{5} + 79507 T^{6} \))(\( 1 + 8 T + 89 T^{2} + 384 T^{3} + 3827 T^{4} + 14792 T^{5} + 79507 T^{6} \))(\( 1 + 16 T + 201 T^{2} + 1456 T^{3} + 8643 T^{4} + 29584 T^{5} + 79507 T^{6} \))(\( ( 1 + 4 T + 43 T^{2} )^{3} \))(\( 1 - 4 T + 60 T^{2} - 548 T^{3} + 2214 T^{4} - 23564 T^{5} + 110940 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 15 T + 107 T^{2} + 496 T^{3} + 2443 T^{4} + 21328 T^{5} + 197843 T^{6} + 1192605 T^{7} + 3418801 T^{8} \))(\( 1 + 3 T + 123 T^{2} + 132 T^{3} + 6555 T^{4} + 5676 T^{5} + 227427 T^{6} + 238521 T^{7} + 3418801 T^{8} \))(\( 1 + 15 T + 107 T^{2} + 496 T^{3} + 2443 T^{4} + 21328 T^{5} + 197843 T^{6} + 1192605 T^{7} + 3418801 T^{8} \))(\( 1 + 3 T + 123 T^{2} + 132 T^{3} + 6555 T^{4} + 5676 T^{5} + 227427 T^{6} + 238521 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 60 T^{2} - 548 T^{3} + 2214 T^{4} - 23564 T^{5} + 110940 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 16 T + 263 T^{2} + 2464 T^{3} + 23066 T^{4} + 150752 T^{5} + 991838 T^{6} + 4555936 T^{7} + 20910341 T^{8} + 54700816 T^{9} + 147008443 T^{10} \))(\( 1 - 20 T + 247 T^{2} - 2064 T^{3} + 14346 T^{4} - 90360 T^{5} + 616878 T^{6} - 3816336 T^{7} + 19638229 T^{8} - 68376020 T^{9} + 147008443 T^{10} \))(\( 1 + 2 T + 98 T^{2} + 80 T^{3} + 1850 T^{4} - 5518 T^{5} - 47766 T^{6} - 237274 T^{7} + 3420650 T^{8} + 6360560 T^{9} + 335042498 T^{10} + 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 - 2 T + 161 T^{2} - 258 T^{3} + 12898 T^{4} - 19378 T^{5} + 675593 T^{6} - 833254 T^{7} + 23848402 T^{8} - 20512806 T^{9} + 550426961 T^{10} - 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 - T + 113 T^{2} - 526 T^{3} + 8050 T^{4} - 32537 T^{5} + 465936 T^{6} - 1399091 T^{7} + 14884450 T^{8} - 41820682 T^{9} + 386324513 T^{10} - 147008443 T^{11} + 6321363049 T^{12} \))(\( 1 - 13 T + 241 T^{2} - 2138 T^{3} + 23114 T^{4} - 155041 T^{5} + 1256496 T^{6} - 6666763 T^{7} + 42737786 T^{8} - 169985966 T^{9} + 823931041 T^{10} - 1911109759 T^{11} + 6321363049 T^{12} \))(\( 1 - T + 113 T^{2} - 526 T^{3} + 8050 T^{4} - 32537 T^{5} + 465936 T^{6} - 1399091 T^{7} + 14884450 T^{8} - 41820682 T^{9} + 386324513 T^{10} - 147008443 T^{11} + 6321363049 T^{12} \))(\( 1 - 13 T + 241 T^{2} - 2138 T^{3} + 23114 T^{4} - 155041 T^{5} + 1256496 T^{6} - 6666763 T^{7} + 42737786 T^{8} - 169985966 T^{9} + 823931041 T^{10} - 1911109759 T^{11} + 6321363049 T^{12} \))(\( 1 - 2 T + 161 T^{2} - 258 T^{3} + 12898 T^{4} - 19378 T^{5} + 675593 T^{6} - 833254 T^{7} + 23848402 T^{8} - 20512806 T^{9} + 550426961 T^{10} - 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 + 2 T + 98 T^{2} + 80 T^{3} + 1850 T^{4} - 5518 T^{5} - 47766 T^{6} - 237274 T^{7} + 3420650 T^{8} + 6360560 T^{9} + 335042498 T^{10} + 294016886 T^{11} + 6321363049 T^{12} \))(\( 1 + 9 T + 231 T^{2} + 1811 T^{3} + 26823 T^{4} + 183375 T^{5} + 2055272 T^{6} + 12296757 T^{7} + 115527459 T^{8} + 607713615 T^{9} + 4967680737 T^{10} + 22736703693 T^{11} + 163408510904 T^{12} + 626922633375 T^{13} + 3943207466589 T^{14} + 11447988481739 T^{15} + 62790099165717 T^{16} + 105193802498409 T^{17} + 502592611936843 T^{18} \))(\( 1 + 9 T + 231 T^{2} + 1811 T^{3} + 26823 T^{4} + 183375 T^{5} + 2055272 T^{6} + 12296757 T^{7} + 115527459 T^{8} + 607713615 T^{9} + 4967680737 T^{10} + 22736703693 T^{11} + 163408510904 T^{12} + 626922633375 T^{13} + 3943207466589 T^{14} + 11447988481739 T^{15} + 62790099165717 T^{16} + 105193802498409 T^{17} + 502592611936843 T^{18} \))(\( 1 + 24 T + 510 T^{2} + 7440 T^{3} + 96013 T^{4} + 1029952 T^{5} + 10020362 T^{6} + 86091240 T^{7} + 688868922 T^{8} + 5048812808 T^{9} + 35606167926 T^{10} + 238634385632 T^{11} + 1588990555189 T^{12} + 10261278582176 T^{13} + 65835804495174 T^{14} + 401415959925656 T^{15} + 2355105759402522 T^{16} + 12656139148339320 T^{17} + 63342346084403738 T^{18} + 279960122146876864 T^{19} + 1122219173253304813 T^{20} + 3739289032810111920 T^{21} + 11021855979774966990 T^{22} + 22303049747309344968 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 2 T + 256 T^{2} + 636 T^{3} + 30937 T^{4} + 93284 T^{5} + 2309159 T^{6} + 8629084 T^{7} + 119497741 T^{8} + 576300216 T^{9} + 4849946726 T^{10} + 30189298418 T^{11} + 193493409284 T^{12} + 1298139831974 T^{13} + 8967551496374 T^{14} + 45819901273512 T^{15} + 408538996428541 T^{16} + 1268548203356212 T^{17} + 14597032376865791 T^{18} + 25356327318505388 T^{19} + 361597851988142137 T^{20} + 319648901191832148 T^{21} + 5532539472200767744 T^{22} + 1858587478942445414 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 14 T + 280 T^{2} - 3076 T^{3} + 35393 T^{4} - 309652 T^{5} + 2652903 T^{6} - 18840900 T^{7} + 132316357 T^{8} - 795299952 T^{9} + 4985217118 T^{10} - 28664515878 T^{11} + 188983814004 T^{12} - 1232574182754 T^{13} + 9217666451182 T^{14} - 63231913283664 T^{15} + 452363293627957 T^{16} - 2769771373718700 T^{17} + 16769962996781247 T^{18} - 84169176566504764 T^{19} + 413680472425132193 T^{20} - 1545974874317729068 T^{21} + 6051215047719589720 T^{22} - 13010112352597117898 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 21 T + 516 T^{2} + 6948 T^{3} + 101841 T^{4} + 1056261 T^{5} + 11879523 T^{6} + 103547820 T^{7} + 976799505 T^{8} + 7415552946 T^{9} + 60701500689 T^{10} + 406865640984 T^{11} + 2939612945946 T^{12} + 17495222562312 T^{13} + 112237074773961 T^{14} + 589588368077622 T^{15} + 3339483124493505 T^{16} + 15222403794244260 T^{17} + 75094777731945627 T^{18} + 287111397986490927 T^{19} + 1190338004471163441 T^{20} + 3492013467737185164 T^{21} + 11151524873654672484 T^{22} + 19515168528895676847 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 21 T + 516 T^{2} + 6948 T^{3} + 101841 T^{4} + 1056261 T^{5} + 11879523 T^{6} + 103547820 T^{7} + 976799505 T^{8} + 7415552946 T^{9} + 60701500689 T^{10} + 406865640984 T^{11} + 2939612945946 T^{12} + 17495222562312 T^{13} + 112237074773961 T^{14} + 589588368077622 T^{15} + 3339483124493505 T^{16} + 15222403794244260 T^{17} + 75094777731945627 T^{18} + 287111397986490927 T^{19} + 1190338004471163441 T^{20} + 3492013467737185164 T^{21} + 11151524873654672484 T^{22} + 19515168528895676847 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 14 T + 280 T^{2} - 3076 T^{3} + 35393 T^{4} - 309652 T^{5} + 2652903 T^{6} - 18840900 T^{7} + 132316357 T^{8} - 795299952 T^{9} + 4985217118 T^{10} - 28664515878 T^{11} + 188983814004 T^{12} - 1232574182754 T^{13} + 9217666451182 T^{14} - 63231913283664 T^{15} + 452363293627957 T^{16} - 2769771373718700 T^{17} + 16769962996781247 T^{18} - 84169176566504764 T^{19} + 413680472425132193 T^{20} - 1545974874317729068 T^{21} + 6051215047719589720 T^{22} - 13010112352597117898 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 2 T + 256 T^{2} + 636 T^{3} + 30937 T^{4} + 93284 T^{5} + 2309159 T^{6} + 8629084 T^{7} + 119497741 T^{8} + 576300216 T^{9} + 4849946726 T^{10} + 30189298418 T^{11} + 193493409284 T^{12} + 1298139831974 T^{13} + 8967551496374 T^{14} + 45819901273512 T^{15} + 408538996428541 T^{16} + 1268548203356212 T^{17} + 14597032376865791 T^{18} + 25356327318505388 T^{19} + 361597851988142137 T^{20} + 319648901191832148 T^{21} + 5532539472200767744 T^{22} + 1858587478942445414 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 24 T + 510 T^{2} + 7440 T^{3} + 96013 T^{4} + 1029952 T^{5} + 10020362 T^{6} + 86091240 T^{7} + 688868922 T^{8} + 5048812808 T^{9} + 35606167926 T^{10} + 238634385632 T^{11} + 1588990555189 T^{12} + 10261278582176 T^{13} + 65835804495174 T^{14} + 401415959925656 T^{15} + 2355105759402522 T^{16} + 12656139148339320 T^{17} + 63342346084403738 T^{18} + 279960122146876864 T^{19} + 1122219173253304813 T^{20} + 3739289032810111920 T^{21} + 11021855979774966990 T^{22} + 22303049747309344968 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 27 T + 822 T^{2} - 14782 T^{3} + 269748 T^{4} - 3735600 T^{5} + 51452705 T^{6} - 587950494 T^{7} + 6666695973 T^{8} - 65466196072 T^{9} + 640116367686 T^{10} - 5553512118822 T^{11} + 48268717854847 T^{12} - 377970915475806 T^{13} + 2987298959220399 T^{14} - 21490616850934976 T^{15} + 157175707299143919 T^{16} - 1053100072564914249 T^{17} + 7206673813558334472 T^{18} - 45283303120291312707 T^{19} + \)\(29\!\cdots\!31\)\( T^{20} - \)\(17\!\cdots\!32\)\( T^{21} + \)\(10\!\cdots\!99\)\( T^{22} - \)\(55\!\cdots\!58\)\( T^{23} + \)\(30\!\cdots\!03\)\( T^{24} - \)\(15\!\cdots\!54\)\( T^{25} + \)\(74\!\cdots\!86\)\( T^{26} - \)\(32\!\cdots\!96\)\( T^{27} + \)\(14\!\cdots\!77\)\( T^{28} - \)\(54\!\cdots\!58\)\( T^{29} + \)\(20\!\cdots\!05\)\( T^{30} - \)\(64\!\cdots\!00\)\( T^{31} + \)\(19\!\cdots\!52\)\( T^{32} - \)\(46\!\cdots\!74\)\( T^{33} + \)\(11\!\cdots\!22\)\( T^{34} - \)\(15\!\cdots\!61\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 - 27 T + 702 T^{2} - 11338 T^{3} + 175056 T^{4} - 2081472 T^{5} + 24238669 T^{6} - 235042386 T^{7} + 2299907301 T^{8} - 19496805752 T^{9} + 171326853618 T^{10} - 1328471974422 T^{11} + 10856263165367 T^{12} - 78606553359570 T^{13} + 604823636133363 T^{14} - 4121583780599872 T^{15} + 30055688031085371 T^{16} - 194316209604695397 T^{17} + 1352512911186288576 T^{18} - 8355597013001902071 T^{19} + 55572967169476850979 T^{20} - \)\(32\!\cdots\!04\)\( T^{21} + \)\(20\!\cdots\!63\)\( T^{22} - \)\(11\!\cdots\!10\)\( T^{23} + \)\(68\!\cdots\!83\)\( T^{24} - \)\(36\!\cdots\!54\)\( T^{25} + \)\(20\!\cdots\!18\)\( T^{26} - \)\(97\!\cdots\!36\)\( T^{27} + \)\(49\!\cdots\!49\)\( T^{28} - \)\(21\!\cdots\!02\)\( T^{29} + \)\(96\!\cdots\!69\)\( T^{30} - \)\(35\!\cdots\!96\)\( T^{31} + \)\(12\!\cdots\!44\)\( T^{32} - \)\(36\!\cdots\!66\)\( T^{33} + \)\(95\!\cdots\!02\)\( T^{34} - \)\(15\!\cdots\!61\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 - 27 T + 822 T^{2} - 14782 T^{3} + 269748 T^{4} - 3735600 T^{5} + 51452705 T^{6} - 587950494 T^{7} + 6666695973 T^{8} - 65466196072 T^{9} + 640116367686 T^{10} - 5553512118822 T^{11} + 48268717854847 T^{12} - 377970915475806 T^{13} + 2987298959220399 T^{14} - 21490616850934976 T^{15} + 157175707299143919 T^{16} - 1053100072564914249 T^{17} + 7206673813558334472 T^{18} - 45283303120291312707 T^{19} + \)\(29\!\cdots\!31\)\( T^{20} - \)\(17\!\cdots\!32\)\( T^{21} + \)\(10\!\cdots\!99\)\( T^{22} - \)\(55\!\cdots\!58\)\( T^{23} + \)\(30\!\cdots\!03\)\( T^{24} - \)\(15\!\cdots\!54\)\( T^{25} + \)\(74\!\cdots\!86\)\( T^{26} - \)\(32\!\cdots\!96\)\( T^{27} + \)\(14\!\cdots\!77\)\( T^{28} - \)\(54\!\cdots\!58\)\( T^{29} + \)\(20\!\cdots\!05\)\( T^{30} - \)\(64\!\cdots\!00\)\( T^{31} + \)\(19\!\cdots\!52\)\( T^{32} - \)\(46\!\cdots\!74\)\( T^{33} + \)\(11\!\cdots\!22\)\( T^{34} - \)\(15\!\cdots\!61\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 - 27 T + 702 T^{2} - 11338 T^{3} + 175056 T^{4} - 2081472 T^{5} + 24238669 T^{6} - 235042386 T^{7} + 2299907301 T^{8} - 19496805752 T^{9} + 171326853618 T^{10} - 1328471974422 T^{11} + 10856263165367 T^{12} - 78606553359570 T^{13} + 604823636133363 T^{14} - 4121583780599872 T^{15} + 30055688031085371 T^{16} - 194316209604695397 T^{17} + 1352512911186288576 T^{18} - 8355597013001902071 T^{19} + 55572967169476850979 T^{20} - \)\(32\!\cdots\!04\)\( T^{21} + \)\(20\!\cdots\!63\)\( T^{22} - \)\(11\!\cdots\!10\)\( T^{23} + \)\(68\!\cdots\!83\)\( T^{24} - \)\(36\!\cdots\!54\)\( T^{25} + \)\(20\!\cdots\!18\)\( T^{26} - \)\(97\!\cdots\!36\)\( T^{27} + \)\(49\!\cdots\!49\)\( T^{28} - \)\(21\!\cdots\!02\)\( T^{29} + \)\(96\!\cdots\!69\)\( T^{30} - \)\(35\!\cdots\!96\)\( T^{31} + \)\(12\!\cdots\!44\)\( T^{32} - \)\(36\!\cdots\!66\)\( T^{33} + \)\(95\!\cdots\!02\)\( T^{34} - \)\(15\!\cdots\!61\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 + 448 T^{2} + 200 T^{3} + 100692 T^{4} + 83232 T^{5} + 15175234 T^{6} + 17290312 T^{7} + 1728853426 T^{8} + 2392232736 T^{9} + 158925935774 T^{10} + 248182862480 T^{11} + 12264123793243 T^{12} + 20572277397240 T^{13} + 814629622894340 T^{14} + 1413899569891368 T^{15} + 47326897374138379 T^{16} + 82326928442330360 T^{17} + 2428835588468948760 T^{18} + 4108987207293563696 T^{19} + \)\(11\!\cdots\!51\)\( T^{20} + \)\(17\!\cdots\!28\)\( T^{21} + \)\(44\!\cdots\!40\)\( T^{22} + \)\(65\!\cdots\!20\)\( T^{23} + \)\(16\!\cdots\!79\)\( T^{24} + \)\(20\!\cdots\!24\)\( T^{25} + \)\(51\!\cdots\!60\)\( T^{26} + \)\(55\!\cdots\!80\)\( T^{27} + \)\(14\!\cdots\!43\)\( T^{28} + \)\(12\!\cdots\!40\)\( T^{29} + \)\(34\!\cdots\!26\)\( T^{30} + \)\(22\!\cdots\!52\)\( T^{31} + \)\(69\!\cdots\!26\)\( T^{32} + \)\(29\!\cdots\!16\)\( T^{33} + \)\(11\!\cdots\!66\)\( T^{34} + \)\(26\!\cdots\!24\)\( T^{35} + \)\(13\!\cdots\!92\)\( T^{36} + \)\(11\!\cdots\!00\)\( T^{37} + \)\(11\!\cdots\!52\)\( T^{38} + \)\(46\!\cdots\!01\)\( T^{40} \))(\( 1 + 448 T^{2} + 200 T^{3} + 100692 T^{4} + 83232 T^{5} + 15175234 T^{6} + 17290312 T^{7} + 1728853426 T^{8} + 2392232736 T^{9} + 158925935774 T^{10} + 248182862480 T^{11} + 12264123793243 T^{12} + 20572277397240 T^{13} + 814629622894340 T^{14} + 1413899569891368 T^{15} + 47326897374138379 T^{16} + 82326928442330360 T^{17} + 2428835588468948760 T^{18} + 4108987207293563696 T^{19} + \)\(11\!\cdots\!51\)\( T^{20} + \)\(17\!\cdots\!28\)\( T^{21} + \)\(44\!\cdots\!40\)\( T^{22} + \)\(65\!\cdots\!20\)\( T^{23} + \)\(16\!\cdots\!79\)\( T^{24} + \)\(20\!\cdots\!24\)\( T^{25} + \)\(51\!\cdots\!60\)\( T^{26} + \)\(55\!\cdots\!80\)\( T^{27} + \)\(14\!\cdots\!43\)\( T^{28} + \)\(12\!\cdots\!40\)\( T^{29} + \)\(34\!\cdots\!26\)\( T^{30} + \)\(22\!\cdots\!52\)\( T^{31} + \)\(69\!\cdots\!26\)\( T^{32} + \)\(29\!\cdots\!16\)\( T^{33} + \)\(11\!\cdots\!66\)\( T^{34} + \)\(26\!\cdots\!24\)\( T^{35} + \)\(13\!\cdots\!92\)\( T^{36} + \)\(11\!\cdots\!00\)\( T^{37} + \)\(11\!\cdots\!52\)\( T^{38} + \)\(46\!\cdots\!01\)\( T^{40} \))
$47$ (\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 16 T + 138 T^{2} + 752 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 16 T + 138 T^{2} + 752 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 69 T^{2} - 108 T^{3} + 3243 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 85 T^{2} - 8 T^{3} + 3995 T^{4} + 4418 T^{5} + 103823 T^{6} \))(\( 1 - 8 T + 65 T^{2} - 316 T^{3} + 3055 T^{4} - 17672 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 53 T^{2} - 640 T^{3} + 2491 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 8 T + 65 T^{2} - 316 T^{3} + 3055 T^{4} - 17672 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 69 T^{2} - 108 T^{3} + 3243 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 10 T + 208 T^{2} - 1418 T^{3} + 15130 T^{4} - 66646 T^{5} + 459472 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 + 3 T + 139 T^{2} + 320 T^{3} + 8957 T^{4} + 15040 T^{5} + 307051 T^{6} + 311469 T^{7} + 4879681 T^{8} \))(\( 1 + 23 T + 331 T^{2} + 3388 T^{3} + 26259 T^{4} + 159236 T^{5} + 731179 T^{6} + 2387929 T^{7} + 4879681 T^{8} \))(\( 1 + 3 T + 139 T^{2} + 320 T^{3} + 8957 T^{4} + 15040 T^{5} + 307051 T^{6} + 311469 T^{7} + 4879681 T^{8} \))(\( 1 + 23 T + 331 T^{2} + 3388 T^{3} + 26259 T^{4} + 159236 T^{5} + 731179 T^{6} + 2387929 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 208 T^{2} - 1418 T^{3} + 15130 T^{4} - 66646 T^{5} + 459472 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 + 2 T + 179 T^{2} + 256 T^{3} + 14606 T^{4} + 15260 T^{5} + 686482 T^{6} + 565504 T^{7} + 18584317 T^{8} + 9759362 T^{9} + 229345007 T^{10} \))(\( 1 + 26 T + 459 T^{2} + 5480 T^{3} + 52838 T^{4} + 396604 T^{5} + 2483386 T^{6} + 12105320 T^{7} + 47654757 T^{8} + 126871706 T^{9} + 229345007 T^{10} \))(\( 1 + 6 T + 214 T^{2} + 1194 T^{3} + 20527 T^{4} + 102724 T^{5} + 1192052 T^{6} + 4828028 T^{7} + 45344143 T^{8} + 123964662 T^{9} + 1044251734 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 6 T + 189 T^{2} - 876 T^{3} + 16283 T^{4} - 57054 T^{5} + 903262 T^{6} - 2681538 T^{7} + 35969147 T^{8} - 90948948 T^{9} + 922259709 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 - 37 T + 757 T^{2} - 11060 T^{3} + 125348 T^{4} - 1146739 T^{5} + 8639860 T^{6} - 53896733 T^{7} + 276893732 T^{8} - 1148282380 T^{9} + 3693918517 T^{10} - 8485765259 T^{11} + 10779215329 T^{12} \))(\( 1 - 17 T + 305 T^{2} - 3000 T^{3} + 31442 T^{4} - 226867 T^{5} + 1823040 T^{6} - 10662749 T^{7} + 69455378 T^{8} - 311469000 T^{9} + 1488302705 T^{10} - 3898865119 T^{11} + 10779215329 T^{12} \))(\( 1 - 37 T + 757 T^{2} - 11060 T^{3} + 125348 T^{4} - 1146739 T^{5} + 8639860 T^{6} - 53896733 T^{7} + 276893732 T^{8} - 1148282380 T^{9} + 3693918517 T^{10} - 8485765259 T^{11} + 10779215329 T^{12} \))(\( 1 - 17 T + 305 T^{2} - 3000 T^{3} + 31442 T^{4} - 226867 T^{5} + 1823040 T^{6} - 10662749 T^{7} + 69455378 T^{8} - 311469000 T^{9} + 1488302705 T^{10} - 3898865119 T^{11} + 10779215329 T^{12} \))(\( 1 - 6 T + 189 T^{2} - 876 T^{3} + 16283 T^{4} - 57054 T^{5} + 903262 T^{6} - 2681538 T^{7} + 35969147 T^{8} - 90948948 T^{9} + 922259709 T^{10} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 6 T + 214 T^{2} + 1194 T^{3} + 20527 T^{4} + 102724 T^{5} + 1192052 T^{6} + 4828028 T^{7} + 45344143 T^{8} + 123964662 T^{9} + 1044251734 T^{10} + 1376070042 T^{11} + 10779215329 T^{12} \))(\( 1 + 15 T + 381 T^{2} + 4461 T^{3} + 65127 T^{4} + 621693 T^{5} + 6665060 T^{6} + 52976307 T^{7} + 453346473 T^{8} + 3013250783 T^{9} + 21307284231 T^{10} + 117024662163 T^{11} + 691986524380 T^{12} + 3033663519933 T^{13} + 14936552270889 T^{14} + 48086079582669 T^{15} + 193023408896403 T^{16} + 357169299926415 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 15 T + 381 T^{2} + 4461 T^{3} + 65127 T^{4} + 621693 T^{5} + 6665060 T^{6} + 52976307 T^{7} + 453346473 T^{8} + 3013250783 T^{9} + 21307284231 T^{10} + 117024662163 T^{11} + 691986524380 T^{12} + 3033663519933 T^{13} + 14936552270889 T^{14} + 48086079582669 T^{15} + 193023408896403 T^{16} + 357169299926415 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 2 T + 234 T^{2} - 652 T^{3} + 30747 T^{4} - 87136 T^{5} + 2936818 T^{6} - 7840610 T^{7} + 217684043 T^{8} - 551852768 T^{9} + 13231510628 T^{10} - 30960636724 T^{11} + 677561231666 T^{12} - 1455149926028 T^{13} + 29228406977252 T^{14} - 57295009932064 T^{15} + 1062228688630283 T^{16} - 1798204755334270 T^{17} + 31656593604083122 T^{18} - 44145112224663968 T^{19} + 732125630989165467 T^{20} - 729673068463004084 T^{21} + 12308196943184231466 T^{22} - 4944318430168024606 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 6 T + 85 T^{2} + 478 T^{3} + 6796 T^{4} + 2746 T^{5} + 197761 T^{6} - 462350 T^{7} + 1926919 T^{8} - 123010196 T^{9} + 61043530 T^{10} - 5878513380 T^{11} - 15265978280 T^{12} - 276290128860 T^{13} + 134845157770 T^{14} - 12771287579308 T^{15} + 9402750032839 T^{16} - 106037663986450 T^{17} + 2131708402678369 T^{18} + 1391187088791398 T^{19} + 161821504153327756 T^{20} + 534944366143122626 T^{21} + 4470926240045554165 T^{22} + 14832955290504073818 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 395 T^{2} - 1704 T^{3} + 72808 T^{4} - 345320 T^{5} + 8378207 T^{6} - 43747836 T^{7} + 684434199 T^{8} - 3836407448 T^{9} + 43123265270 T^{10} - 243960269984 T^{11} + 2218522291840 T^{12} - 11466132689248 T^{13} + 95259292981430 T^{14} - 398307330473704 T^{15} + 3339820556610519 T^{16} - 10033347753654852 T^{17} + 90310497323935103 T^{18} - 174947095958283160 T^{19} + 1733652159269494888 T^{20} - 1906998326167114968 T^{21} + 20776657233152869355 T^{22} - 9888636860336049212 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 3 T + 270 T^{2} + 674 T^{3} + 38637 T^{4} + 75987 T^{5} + 3816673 T^{6} + 5710380 T^{7} + 289480461 T^{8} + 327694492 T^{9} + 17776751091 T^{10} + 16177990368 T^{11} + 910383458190 T^{12} + 760365547296 T^{13} + 39268843160019 T^{14} + 34022225242916 T^{15} + 1412572305412941 T^{16} + 1309647141072660 T^{17} + 41140740107380417 T^{18} + 38496771054621981 T^{19} + 919996682750459757 T^{20} + 754293938871264958 T^{21} + 14201765703674113230 T^{22} + 7416477645252036909 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 3 T + 270 T^{2} + 674 T^{3} + 38637 T^{4} + 75987 T^{5} + 3816673 T^{6} + 5710380 T^{7} + 289480461 T^{8} + 327694492 T^{9} + 17776751091 T^{10} + 16177990368 T^{11} + 910383458190 T^{12} + 760365547296 T^{13} + 39268843160019 T^{14} + 34022225242916 T^{15} + 1412572305412941 T^{16} + 1309647141072660 T^{17} + 41140740107380417 T^{18} + 38496771054621981 T^{19} + 919996682750459757 T^{20} + 754293938871264958 T^{21} + 14201765703674113230 T^{22} + 7416477645252036909 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 395 T^{2} - 1704 T^{3} + 72808 T^{4} - 345320 T^{5} + 8378207 T^{6} - 43747836 T^{7} + 684434199 T^{8} - 3836407448 T^{9} + 43123265270 T^{10} - 243960269984 T^{11} + 2218522291840 T^{12} - 11466132689248 T^{13} + 95259292981430 T^{14} - 398307330473704 T^{15} + 3339820556610519 T^{16} - 10033347753654852 T^{17} + 90310497323935103 T^{18} - 174947095958283160 T^{19} + 1733652159269494888 T^{20} - 1906998326167114968 T^{21} + 20776657233152869355 T^{22} - 9888636860336049212 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 6 T + 85 T^{2} + 478 T^{3} + 6796 T^{4} + 2746 T^{5} + 197761 T^{6} - 462350 T^{7} + 1926919 T^{8} - 123010196 T^{9} + 61043530 T^{10} - 5878513380 T^{11} - 15265978280 T^{12} - 276290128860 T^{13} + 134845157770 T^{14} - 12771287579308 T^{15} + 9402750032839 T^{16} - 106037663986450 T^{17} + 2131708402678369 T^{18} + 1391187088791398 T^{19} + 161821504153327756 T^{20} + 534944366143122626 T^{21} + 4470926240045554165 T^{22} + 14832955290504073818 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 2 T + 234 T^{2} - 652 T^{3} + 30747 T^{4} - 87136 T^{5} + 2936818 T^{6} - 7840610 T^{7} + 217684043 T^{8} - 551852768 T^{9} + 13231510628 T^{10} - 30960636724 T^{11} + 677561231666 T^{12} - 1455149926028 T^{13} + 29228406977252 T^{14} - 57295009932064 T^{15} + 1062228688630283 T^{16} - 1798204755334270 T^{17} + 31656593604083122 T^{18} - 44145112224663968 T^{19} + 732125630989165467 T^{20} - 729673068463004084 T^{21} + 12308196943184231466 T^{22} - 4944318430168024606 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 15 T + 450 T^{2} + 5882 T^{3} + 100428 T^{4} + 1129272 T^{5} + 14378275 T^{6} + 140382930 T^{7} + 1466207409 T^{8} + 12606180262 T^{9} + 113111142900 T^{10} + 869036281284 T^{11} + 6909498564251 T^{12} + 48319670505678 T^{13} + 351633098300565 T^{14} + 2309131851901052 T^{15} + 16108082979508935 T^{16} + 104386220825754129 T^{17} + 736610704310594212 T^{18} + 4906152378810444063 T^{19} + 35582755301735237415 T^{20} + \)\(23\!\cdots\!96\)\( T^{21} + \)\(17\!\cdots\!65\)\( T^{22} + \)\(11\!\cdots\!46\)\( T^{23} + \)\(74\!\cdots\!79\)\( T^{24} + \)\(44\!\cdots\!92\)\( T^{25} + \)\(26\!\cdots\!00\)\( T^{26} + \)\(14\!\cdots\!54\)\( T^{27} + \)\(77\!\cdots\!41\)\( T^{28} + \)\(34\!\cdots\!90\)\( T^{29} + \)\(16\!\cdots\!75\)\( T^{30} + \)\(61\!\cdots\!44\)\( T^{31} + \)\(25\!\cdots\!32\)\( T^{32} + \)\(70\!\cdots\!26\)\( T^{33} + \)\(25\!\cdots\!50\)\( T^{34} + \)\(39\!\cdots\!05\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 - 27 T + 816 T^{2} - 15350 T^{3} + 284892 T^{4} - 4225542 T^{5} + 60370493 T^{6} - 750509976 T^{7} + 8956202745 T^{8} - 96717032964 T^{9} + 1004358416196 T^{10} - 9640402238286 T^{11} + 89245417788707 T^{12} - 773315118779148 T^{13} + 6480677876872971 T^{14} - 51224116812515794 T^{15} + 392399963735683431 T^{16} - 2847049517484370077 T^{17} + 20042189395706447112 T^{18} - \)\(13\!\cdots\!19\)\( T^{19} + \)\(86\!\cdots\!79\)\( T^{20} - \)\(53\!\cdots\!62\)\( T^{21} + \)\(31\!\cdots\!51\)\( T^{22} - \)\(17\!\cdots\!36\)\( T^{23} + \)\(96\!\cdots\!03\)\( T^{24} - \)\(48\!\cdots\!18\)\( T^{25} + \)\(23\!\cdots\!56\)\( T^{26} - \)\(10\!\cdots\!88\)\( T^{27} + \)\(47\!\cdots\!05\)\( T^{28} - \)\(18\!\cdots\!28\)\( T^{29} + \)\(70\!\cdots\!13\)\( T^{30} - \)\(23\!\cdots\!34\)\( T^{31} + \)\(73\!\cdots\!48\)\( T^{32} - \)\(18\!\cdots\!50\)\( T^{33} + \)\(46\!\cdots\!36\)\( T^{34} - \)\(71\!\cdots\!49\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 + 15 T + 450 T^{2} + 5882 T^{3} + 100428 T^{4} + 1129272 T^{5} + 14378275 T^{6} + 140382930 T^{7} + 1466207409 T^{8} + 12606180262 T^{9} + 113111142900 T^{10} + 869036281284 T^{11} + 6909498564251 T^{12} + 48319670505678 T^{13} + 351633098300565 T^{14} + 2309131851901052 T^{15} + 16108082979508935 T^{16} + 104386220825754129 T^{17} + 736610704310594212 T^{18} + 4906152378810444063 T^{19} + 35582755301735237415 T^{20} + \)\(23\!\cdots\!96\)\( T^{21} + \)\(17\!\cdots\!65\)\( T^{22} + \)\(11\!\cdots\!46\)\( T^{23} + \)\(74\!\cdots\!79\)\( T^{24} + \)\(44\!\cdots\!92\)\( T^{25} + \)\(26\!\cdots\!00\)\( T^{26} + \)\(14\!\cdots\!54\)\( T^{27} + \)\(77\!\cdots\!41\)\( T^{28} + \)\(34\!\cdots\!90\)\( T^{29} + \)\(16\!\cdots\!75\)\( T^{30} + \)\(61\!\cdots\!44\)\( T^{31} + \)\(25\!\cdots\!32\)\( T^{32} + \)\(70\!\cdots\!26\)\( T^{33} + \)\(25\!\cdots\!50\)\( T^{34} + \)\(39\!\cdots\!05\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 - 27 T + 816 T^{2} - 15350 T^{3} + 284892 T^{4} - 4225542 T^{5} + 60370493 T^{6} - 750509976 T^{7} + 8956202745 T^{8} - 96717032964 T^{9} + 1004358416196 T^{10} - 9640402238286 T^{11} + 89245417788707 T^{12} - 773315118779148 T^{13} + 6480677876872971 T^{14} - 51224116812515794 T^{15} + 392399963735683431 T^{16} - 2847049517484370077 T^{17} + 20042189395706447112 T^{18} - \)\(13\!\cdots\!19\)\( T^{19} + \)\(86\!\cdots\!79\)\( T^{20} - \)\(53\!\cdots\!62\)\( T^{21} + \)\(31\!\cdots\!51\)\( T^{22} - \)\(17\!\cdots\!36\)\( T^{23} + \)\(96\!\cdots\!03\)\( T^{24} - \)\(48\!\cdots\!18\)\( T^{25} + \)\(23\!\cdots\!56\)\( T^{26} - \)\(10\!\cdots\!88\)\( T^{27} + \)\(47\!\cdots\!05\)\( T^{28} - \)\(18\!\cdots\!28\)\( T^{29} + \)\(70\!\cdots\!13\)\( T^{30} - \)\(23\!\cdots\!34\)\( T^{31} + \)\(73\!\cdots\!48\)\( T^{32} - \)\(18\!\cdots\!50\)\( T^{33} + \)\(46\!\cdots\!36\)\( T^{34} - \)\(71\!\cdots\!49\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 + 14 T + 546 T^{2} + 6704 T^{3} + 147283 T^{4} + 1623608 T^{5} + 26291926 T^{6} + 264142170 T^{7} + 3499908813 T^{8} + 32405595824 T^{9} + 370880359700 T^{10} + 3192448087400 T^{11} + 32588878750724 T^{12} + 262465860227144 T^{13} + 2438879933290092 T^{14} + 18453724695608512 T^{15} + 158180479381032114 T^{16} + 1126517725329956604 T^{17} + 8985960584946847944 T^{18} + 60225113019520047592 T^{19} + \)\(44\!\cdots\!46\)\( T^{20} + \)\(28\!\cdots\!24\)\( T^{21} + \)\(19\!\cdots\!96\)\( T^{22} + \)\(11\!\cdots\!92\)\( T^{23} + \)\(77\!\cdots\!34\)\( T^{24} + \)\(42\!\cdots\!84\)\( T^{25} + \)\(26\!\cdots\!68\)\( T^{26} + \)\(13\!\cdots\!72\)\( T^{27} + \)\(77\!\cdots\!64\)\( T^{28} + \)\(35\!\cdots\!00\)\( T^{29} + \)\(19\!\cdots\!00\)\( T^{30} + \)\(80\!\cdots\!72\)\( T^{31} + \)\(40\!\cdots\!33\)\( T^{32} + \)\(14\!\cdots\!90\)\( T^{33} + \)\(67\!\cdots\!94\)\( T^{34} + \)\(19\!\cdots\!44\)\( T^{35} + \)\(83\!\cdots\!43\)\( T^{36} + \)\(17\!\cdots\!48\)\( T^{37} + \)\(68\!\cdots\!94\)\( T^{38} + \)\(82\!\cdots\!62\)\( T^{39} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( 1 + 14 T + 546 T^{2} + 6704 T^{3} + 147283 T^{4} + 1623608 T^{5} + 26291926 T^{6} + 264142170 T^{7} + 3499908813 T^{8} + 32405595824 T^{9} + 370880359700 T^{10} + 3192448087400 T^{11} + 32588878750724 T^{12} + 262465860227144 T^{13} + 2438879933290092 T^{14} + 18453724695608512 T^{15} + 158180479381032114 T^{16} + 1126517725329956604 T^{17} + 8985960584946847944 T^{18} + 60225113019520047592 T^{19} + \)\(44\!\cdots\!46\)\( T^{20} + \)\(28\!\cdots\!24\)\( T^{21} + \)\(19\!\cdots\!96\)\( T^{22} + \)\(11\!\cdots\!92\)\( T^{23} + \)\(77\!\cdots\!34\)\( T^{24} + \)\(42\!\cdots\!84\)\( T^{25} + \)\(26\!\cdots\!68\)\( T^{26} + \)\(13\!\cdots\!72\)\( T^{27} + \)\(77\!\cdots\!64\)\( T^{28} + \)\(35\!\cdots\!00\)\( T^{29} + \)\(19\!\cdots\!00\)\( T^{30} + \)\(80\!\cdots\!72\)\( T^{31} + \)\(40\!\cdots\!33\)\( T^{32} + \)\(14\!\cdots\!90\)\( T^{33} + \)\(67\!\cdots\!94\)\( T^{34} + \)\(19\!\cdots\!44\)\( T^{35} + \)\(83\!\cdots\!43\)\( T^{36} + \)\(17\!\cdots\!48\)\( T^{37} + \)\(68\!\cdots\!94\)\( T^{38} + \)\(82\!\cdots\!62\)\( T^{39} + \)\(27\!\cdots\!01\)\( T^{40} \))
$53$ (\( 1 + 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 7 T + 107 T^{2} + 371 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 147 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 + 13 T + 147 T^{2} + 689 T^{3} + 2809 T^{4} \))(\( 1 - 7 T + 107 T^{2} - 371 T^{3} + 2809 T^{4} \))(\( 1 + 24 T + 339 T^{2} + 2968 T^{3} + 17967 T^{4} + 67416 T^{5} + 148877 T^{6} \))(\( 1 + 3 T^{2} + 412 T^{3} + 159 T^{4} + 148877 T^{6} \))(\( 1 + 28 T + 411 T^{2} + 3684 T^{3} + 21783 T^{4} + 78652 T^{5} + 148877 T^{6} \))(\( 1 + 4 T + 131 T^{2} + 308 T^{3} + 6943 T^{4} + 11236 T^{5} + 148877 T^{6} \))(\( 1 - 28 T + 411 T^{2} - 3684 T^{3} + 21783 T^{4} - 78652 T^{5} + 148877 T^{6} \))(\( 1 - 24 T + 339 T^{2} - 2968 T^{3} + 17967 T^{4} - 67416 T^{5} + 148877 T^{6} \))(\( 1 + 10 T + 208 T^{2} + 1526 T^{3} + 16458 T^{4} + 80878 T^{5} + 584272 T^{6} + 1488770 T^{7} + 7890481 T^{8} \))(\( 1 + T + 182 T^{2} + 147 T^{3} + 13891 T^{4} + 7791 T^{5} + 511238 T^{6} + 148877 T^{7} + 7890481 T^{8} \))(\( 1 + 7 T + 182 T^{2} + 955 T^{3} + 13633 T^{4} + 50615 T^{5} + 511238 T^{6} + 1042139 T^{7} + 7890481 T^{8} \))(\( 1 - T + 182 T^{2} - 147 T^{3} + 13891 T^{4} - 7791 T^{5} + 511238 T^{6} - 148877 T^{7} + 7890481 T^{8} \))(\( 1 - 7 T + 182 T^{2} - 955 T^{3} + 13633 T^{4} - 50615 T^{5} + 511238 T^{6} - 1042139 T^{7} + 7890481 T^{8} \))(\( 1 - 10 T + 208 T^{2} - 1526 T^{3} + 16458 T^{4} - 80878 T^{5} + 584272 T^{6} - 1488770 T^{7} + 7890481 T^{8} \))(\( 1 + 161 T^{2} - 64 T^{3} + 13998 T^{4} - 1368 T^{5} + 741894 T^{6} - 179776 T^{7} + 23969197 T^{8} + 418195493 T^{10} \))(\( 1 + 4 T + 73 T^{2} + 600 T^{3} + 6374 T^{4} + 20752 T^{5} + 337822 T^{6} + 1685400 T^{7} + 10868021 T^{8} + 31561924 T^{9} + 418195493 T^{10} \))(\( 1 + 22 T + 455 T^{2} + 5885 T^{3} + 69872 T^{4} + 625827 T^{5} + 5149915 T^{6} + 33168831 T^{7} + 196270448 T^{8} + 876141145 T^{9} + 3590168855 T^{10} + 9200300846 T^{11} + 22164361129 T^{12} \))(\( 1 + 10 T + 141 T^{2} + 1799 T^{3} + 15712 T^{4} + 132997 T^{5} + 1141767 T^{6} + 7048841 T^{7} + 44135008 T^{8} + 267829723 T^{9} + 1112557821 T^{10} + 4181954930 T^{11} + 22164361129 T^{12} \))(\( 1 - 9 T + 150 T^{2} - 1253 T^{3} + 11700 T^{4} - 87006 T^{5} + 702478 T^{6} - 4611318 T^{7} + 32865300 T^{8} - 186542881 T^{9} + 1183572150 T^{10} - 3763759437 T^{11} + 22164361129 T^{12} \))(\( 1 + 9 T + 190 T^{2} + 955 T^{3} + 15946 T^{4} + 67904 T^{5} + 1022586 T^{6} + 3598912 T^{7} + 44792314 T^{8} + 142177535 T^{9} + 1499191390 T^{10} + 3763759437 T^{11} + 22164361129 T^{12} \))(\( 1 + 9 T + 150 T^{2} + 1253 T^{3} + 11700 T^{4} + 87006 T^{5} + 702478 T^{6} + 4611318 T^{7} + 32865300 T^{8} + 186542881 T^{9} + 1183572150 T^{10} + 3763759437 T^{11} + 22164361129 T^{12} \))(\( 1 - 9 T + 190 T^{2} - 955 T^{3} + 15946 T^{4} - 67904 T^{5} + 1022586 T^{6} - 3598912 T^{7} + 44792314 T^{8} - 142177535 T^{9} + 1499191390 T^{10} - 3763759437 T^{11} + 22164361129 T^{12} \))(\( 1 - 10 T + 141 T^{2} - 1799 T^{3} + 15712 T^{4} - 132997 T^{5} + 1141767 T^{6} - 7048841 T^{7} + 44135008 T^{8} - 267829723 T^{9} + 1112557821 T^{10} - 4181954930 T^{11} + 22164361129 T^{12} \))(\( 1 - 22 T + 455 T^{2} - 5885 T^{3} + 69872 T^{4} - 625827 T^{5} + 5149915 T^{6} - 33168831 T^{7} + 196270448 T^{8} - 876141145 T^{9} + 3590168855 T^{10} - 9200300846 T^{11} + 22164361129 T^{12} \))(\( 1 + 15 T + 351 T^{2} + 4343 T^{3} + 62157 T^{4} + 628539 T^{5} + 6848348 T^{6} + 57985677 T^{7} + 514076523 T^{8} + 3673083169 T^{9} + 27246055719 T^{10} + 162881766693 T^{11} + 1019561505196 T^{12} + 4959475037259 T^{13} + 25993777258401 T^{14} + 96259820383247 T^{15} + 412323610082787 T^{16} + 933895356170415 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 15 T + 351 T^{2} - 4343 T^{3} + 62157 T^{4} - 628539 T^{5} + 6848348 T^{6} - 57985677 T^{7} + 514076523 T^{8} - 3673083169 T^{9} + 27246055719 T^{10} - 162881766693 T^{11} + 1019561505196 T^{12} - 4959475037259 T^{13} + 25993777258401 T^{14} - 96259820383247 T^{15} + 412323610082787 T^{16} - 933895356170415 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 18 T + 468 T^{2} - 5760 T^{3} + 91641 T^{4} - 912460 T^{5} + 11418559 T^{6} - 98716736 T^{7} + 1051915250 T^{8} - 8099443792 T^{9} + 76034806687 T^{10} - 527700338004 T^{11} + 4451427781917 T^{12} - 27968117914212 T^{13} + 213581771983783 T^{14} - 1205820893421584 T^{15} + 8300117293735250 T^{16} - 41282894078870848 T^{17} + 253085065248793111 T^{18} - 1071876926655669020 T^{19} + 5705540288987533401 T^{20} - 19006638288780286080 T^{21} + 81847336131060106932 T^{22} - \)\(16\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 9 T + 263 T^{2} - 1750 T^{3} + 36004 T^{4} - 194205 T^{5} + 3380070 T^{6} - 14669609 T^{7} + 244674859 T^{8} - 857756477 T^{9} + 14819050628 T^{10} - 44385201031 T^{11} + 814248200819 T^{12} - 2352415654643 T^{13} + 41626713214052 T^{14} - 127700211026329 T^{15} + 1930602326117179 T^{16} - 6134764367872237 T^{17} + 74917092121299030 T^{18} - 228134776912044585 T^{19} + 2241597893570641444 T^{20} - 5774586285653732750 T^{21} + 45995404706129931887 T^{22} - 83421323364349724373 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 7 T + 349 T^{2} + 2108 T^{3} + 58056 T^{4} + 296131 T^{5} + 6112908 T^{6} + 25480899 T^{7} + 463971941 T^{8} + 1539730227 T^{9} + 28271971712 T^{10} + 77869483615 T^{11} + 1541723982751 T^{12} + 4127082631595 T^{13} + 79415968539008 T^{14} + 229230417005079 T^{15} + 3660961784993621 T^{16} + 10655997119388207 T^{17} + 135488700460353132 T^{18} + 347868384551070647 T^{19} + 3614548586521974216 T^{20} + 6955901651518896364 T^{21} + 61035727157564054101 T^{22} + 64883251505605341179 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T + 336 T^{2} + 2020 T^{3} + 47517 T^{4} + 184473 T^{5} + 4083365 T^{6} + 8734194 T^{7} + 258142347 T^{8} + 132211954 T^{9} + 13557601251 T^{10} - 11206706946 T^{11} + 689673249382 T^{12} - 593955468138 T^{13} + 38083301914059 T^{14} + 19683319075658 T^{15} + 2036867284298907 T^{16} + 3652600565787642 T^{17} + 90505176481519085 T^{18} + 216702488099150901 T^{19} + 2958393709276640637 T^{20} + 6665522455440308660 T^{21} + 58762190042812384464 T^{22} + 83421323364349724373 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 9 T + 336 T^{2} - 2020 T^{3} + 47517 T^{4} - 184473 T^{5} + 4083365 T^{6} - 8734194 T^{7} + 258142347 T^{8} - 132211954 T^{9} + 13557601251 T^{10} + 11206706946 T^{11} + 689673249382 T^{12} + 593955468138 T^{13} + 38083301914059 T^{14} - 19683319075658 T^{15} + 2036867284298907 T^{16} - 3652600565787642 T^{17} + 90505176481519085 T^{18} - 216702488099150901 T^{19} + 2958393709276640637 T^{20} - 6665522455440308660 T^{21} + 58762190042812384464 T^{22} - 83421323364349724373 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T + 349 T^{2} - 2108 T^{3} + 58056 T^{4} - 296131 T^{5} + 6112908 T^{6} - 25480899 T^{7} + 463971941 T^{8} - 1539730227 T^{9} + 28271971712 T^{10} - 77869483615 T^{11} + 1541723982751 T^{12} - 4127082631595 T^{13} + 79415968539008 T^{14} - 229230417005079 T^{15} + 3660961784993621 T^{16} - 10655997119388207 T^{17} + 135488700460353132 T^{18} - 347868384551070647 T^{19} + 3614548586521974216 T^{20} - 6955901651518896364 T^{21} + 61035727157564054101 T^{22} - 64883251505605341179 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T + 263 T^{2} + 1750 T^{3} + 36004 T^{4} + 194205 T^{5} + 3380070 T^{6} + 14669609 T^{7} + 244674859 T^{8} + 857756477 T^{9} + 14819050628 T^{10} + 44385201031 T^{11} + 814248200819 T^{12} + 2352415654643 T^{13} + 41626713214052 T^{14} + 127700211026329 T^{15} + 1930602326117179 T^{16} + 6134764367872237 T^{17} + 74917092121299030 T^{18} + 228134776912044585 T^{19} + 2241597893570641444 T^{20} + 5774586285653732750 T^{21} + 45995404706129931887 T^{22} + 83421323364349724373 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 468 T^{2} + 5760 T^{3} + 91641 T^{4} + 912460 T^{5} + 11418559 T^{6} + 98716736 T^{7} + 1051915250 T^{8} + 8099443792 T^{9} + 76034806687 T^{10} + 527700338004 T^{11} + 4451427781917 T^{12} + 27968117914212 T^{13} + 213581771983783 T^{14} + 1205820893421584 T^{15} + 8300117293735250 T^{16} + 41282894078870848 T^{17} + 253085065248793111 T^{18} + 1071876926655669020 T^{19} + 5705540288987533401 T^{20} + 19006638288780286080 T^{21} + 81847336131060106932 T^{22} + \)\(16\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 3 T + 516 T^{2} - 1770 T^{3} + 133362 T^{4} - 480282 T^{5} + 22914117 T^{6} - 81797448 T^{7} + 2928990393 T^{8} - 9946749512 T^{9} + 296270244828 T^{10} - 928840416762 T^{11} + 24729486564495 T^{12} - 70256668324776 T^{13} + 1760752308418371 T^{14} - 4522306034314134 T^{15} + 109925245233823389 T^{16} - 259817365507357209 T^{17} + 6137742392393492752 T^{18} - 13770320371889932077 T^{19} + \)\(30\!\cdots\!01\)\( T^{20} - \)\(67\!\cdots\!18\)\( T^{21} + \)\(13\!\cdots\!51\)\( T^{22} - \)\(29\!\cdots\!68\)\( T^{23} + \)\(54\!\cdots\!55\)\( T^{24} - \)\(10\!\cdots\!94\)\( T^{25} + \)\(18\!\cdots\!08\)\( T^{26} - \)\(32\!\cdots\!96\)\( T^{27} + \)\(51\!\cdots\!57\)\( T^{28} - \)\(75\!\cdots\!56\)\( T^{29} + \)\(11\!\cdots\!97\)\( T^{30} - \)\(12\!\cdots\!86\)\( T^{31} + \)\(18\!\cdots\!78\)\( T^{32} - \)\(12\!\cdots\!90\)\( T^{33} + \)\(20\!\cdots\!36\)\( T^{34} - \)\(61\!\cdots\!39\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 - 21 T + 738 T^{2} - 11274 T^{3} + 232566 T^{4} - 2838408 T^{5} + 44301667 T^{6} - 455939412 T^{7} + 5955636939 T^{8} - 53537417156 T^{9} + 618065732136 T^{10} - 4972525240050 T^{11} + 52456287760201 T^{12} - 384688962576816 T^{13} + 3787823803309269 T^{14} - 25707751267282588 T^{15} + 239127666089283165 T^{16} - 1520683786787462259 T^{17} + 13411440878914464540 T^{18} - 80596240699735499727 T^{19} + \)\(67\!\cdots\!85\)\( T^{20} - \)\(38\!\cdots\!76\)\( T^{21} + \)\(29\!\cdots\!89\)\( T^{22} - \)\(16\!\cdots\!88\)\( T^{23} + \)\(11\!\cdots\!29\)\( T^{24} - \)\(58\!\cdots\!50\)\( T^{25} + \)\(38\!\cdots\!96\)\( T^{26} - \)\(17\!\cdots\!48\)\( T^{27} + \)\(10\!\cdots\!11\)\( T^{28} - \)\(42\!\cdots\!64\)\( T^{29} + \)\(21\!\cdots\!47\)\( T^{30} - \)\(73\!\cdots\!84\)\( T^{31} + \)\(32\!\cdots\!54\)\( T^{32} - \)\(82\!\cdots\!18\)\( T^{33} + \)\(28\!\cdots\!98\)\( T^{34} - \)\(43\!\cdots\!73\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 + 3 T + 516 T^{2} + 1770 T^{3} + 133362 T^{4} + 480282 T^{5} + 22914117 T^{6} + 81797448 T^{7} + 2928990393 T^{8} + 9946749512 T^{9} + 296270244828 T^{10} + 928840416762 T^{11} + 24729486564495 T^{12} + 70256668324776 T^{13} + 1760752308418371 T^{14} + 4522306034314134 T^{15} + 109925245233823389 T^{16} + 259817365507357209 T^{17} + 6137742392393492752 T^{18} + 13770320371889932077 T^{19} + \)\(30\!\cdots\!01\)\( T^{20} + \)\(67\!\cdots\!18\)\( T^{21} + \)\(13\!\cdots\!51\)\( T^{22} + \)\(29\!\cdots\!68\)\( T^{23} + \)\(54\!\cdots\!55\)\( T^{24} + \)\(10\!\cdots\!94\)\( T^{25} + \)\(18\!\cdots\!08\)\( T^{26} + \)\(32\!\cdots\!96\)\( T^{27} + \)\(51\!\cdots\!57\)\( T^{28} + \)\(75\!\cdots\!56\)\( T^{29} + \)\(11\!\cdots\!97\)\( T^{30} + \)\(12\!\cdots\!86\)\( T^{31} + \)\(18\!\cdots\!78\)\( T^{32} + \)\(12\!\cdots\!90\)\( T^{33} + \)\(20\!\cdots\!36\)\( T^{34} + \)\(61\!\cdots\!39\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 + 21 T + 738 T^{2} + 11274 T^{3} + 232566 T^{4} + 2838408 T^{5} + 44301667 T^{6} + 455939412 T^{7} + 5955636939 T^{8} + 53537417156 T^{9} + 618065732136 T^{10} + 4972525240050 T^{11} + 52456287760201 T^{12} + 384688962576816 T^{13} + 3787823803309269 T^{14} + 25707751267282588 T^{15} + 239127666089283165 T^{16} + 1520683786787462259 T^{17} + 13411440878914464540 T^{18} + 80596240699735499727 T^{19} + \)\(67\!\cdots\!85\)\( T^{20} + \)\(38\!\cdots\!76\)\( T^{21} + \)\(29\!\cdots\!89\)\( T^{22} + \)\(16\!\cdots\!88\)\( T^{23} + \)\(11\!\cdots\!29\)\( T^{24} + \)\(58\!\cdots\!50\)\( T^{25} + \)\(38\!\cdots\!96\)\( T^{26} + \)\(17\!\cdots\!48\)\( T^{27} + \)\(10\!\cdots\!11\)\( T^{28} + \)\(42\!\cdots\!64\)\( T^{29} + \)\(21\!\cdots\!47\)\( T^{30} + \)\(73\!\cdots\!84\)\( T^{31} + \)\(32\!\cdots\!54\)\( T^{32} + \)\(82\!\cdots\!18\)\( T^{33} + \)\(28\!\cdots\!98\)\( T^{34} + \)\(43\!\cdots\!73\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 + 22 T + 578 T^{2} + 8824 T^{3} + 150420 T^{4} + 1905194 T^{5} + 26102753 T^{6} + 291558632 T^{7} + 3464056084 T^{8} + 35183508474 T^{9} + 375896154240 T^{10} + 3530750175468 T^{11} + 34626227792905 T^{12} + 303895704423522 T^{13} + 2770543409323911 T^{14} + 22864718857299500 T^{15} + 195352893241010281 T^{16} + 1521825632694212226 T^{17} + 12248217361204577102 T^{18} + 90238037070377688640 T^{19} + \)\(68\!\cdots\!39\)\( T^{20} + \)\(47\!\cdots\!20\)\( T^{21} + \)\(34\!\cdots\!18\)\( T^{22} + \)\(22\!\cdots\!02\)\( T^{23} + \)\(15\!\cdots\!61\)\( T^{24} + \)\(95\!\cdots\!00\)\( T^{25} + \)\(61\!\cdots\!19\)\( T^{26} + \)\(35\!\cdots\!14\)\( T^{27} + \)\(21\!\cdots\!05\)\( T^{28} + \)\(11\!\cdots\!44\)\( T^{29} + \)\(65\!\cdots\!60\)\( T^{30} + \)\(32\!\cdots\!78\)\( T^{31} + \)\(17\!\cdots\!44\)\( T^{32} + \)\(75\!\cdots\!36\)\( T^{33} + \)\(36\!\cdots\!57\)\( T^{34} + \)\(13\!\cdots\!58\)\( T^{35} + \)\(58\!\cdots\!20\)\( T^{36} + \)\(18\!\cdots\!12\)\( T^{37} + \)\(62\!\cdots\!42\)\( T^{38} + \)\(12\!\cdots\!74\)\( T^{39} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( 1 - 22 T + 578 T^{2} - 8824 T^{3} + 150420 T^{4} - 1905194 T^{5} + 26102753 T^{6} - 291558632 T^{7} + 3464056084 T^{8} - 35183508474 T^{9} + 375896154240 T^{10} - 3530750175468 T^{11} + 34626227792905 T^{12} - 303895704423522 T^{13} + 2770543409323911 T^{14} - 22864718857299500 T^{15} + 195352893241010281 T^{16} - 1521825632694212226 T^{17} + 12248217361204577102 T^{18} - 90238037070377688640 T^{19} + \)\(68\!\cdots\!39\)\( T^{20} - \)\(47\!\cdots\!20\)\( T^{21} + \)\(34\!\cdots\!18\)\( T^{22} - \)\(22\!\cdots\!02\)\( T^{23} + \)\(15\!\cdots\!61\)\( T^{24} - \)\(95\!\cdots\!00\)\( T^{25} + \)\(61\!\cdots\!19\)\( T^{26} - \)\(35\!\cdots\!14\)\( T^{27} + \)\(21\!\cdots\!05\)\( T^{28} - \)\(11\!\cdots\!44\)\( T^{29} + \)\(65\!\cdots\!60\)\( T^{30} - \)\(32\!\cdots\!78\)\( T^{31} + \)\(17\!\cdots\!44\)\( T^{32} - \)\(75\!\cdots\!36\)\( T^{33} + \)\(36\!\cdots\!57\)\( T^{34} - \)\(13\!\cdots\!58\)\( T^{35} + \)\(58\!\cdots\!20\)\( T^{36} - \)\(18\!\cdots\!12\)\( T^{37} + \)\(62\!\cdots\!42\)\( T^{38} - \)\(12\!\cdots\!74\)\( T^{39} + \)\(30\!\cdots\!01\)\( T^{40} \))
$59$ (\( 1 - 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 4 T + 102 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 18 T + 179 T^{2} + 1062 T^{3} + 3481 T^{4} \))(\( 1 - 18 T + 179 T^{2} - 1062 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 102 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 177 T^{2} + 700 T^{3} + 10443 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 97 T^{2} + 712 T^{3} + 5723 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 8 T + 161 T^{2} + 784 T^{3} + 9499 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( ( 1 + 4 T + 59 T^{2} )^{3} \))(\( 1 - 8 T + 161 T^{2} - 784 T^{3} + 9499 T^{4} - 27848 T^{5} + 205379 T^{6} \))(\( 1 - 6 T + 177 T^{2} - 700 T^{3} + 10443 T^{4} - 20886 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 60 T^{2} + 844 T^{3} + 10166 T^{4} + 49796 T^{5} + 208860 T^{6} + 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 32 T + 503 T^{2} + 5246 T^{3} + 43519 T^{4} + 309514 T^{5} + 1750943 T^{6} + 6572128 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 219 T^{2} + 332 T^{3} + 18941 T^{4} + 19588 T^{5} + 762339 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 32 T + 503 T^{2} - 5246 T^{3} + 43519 T^{4} - 309514 T^{5} + 1750943 T^{6} - 6572128 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 219 T^{2} - 332 T^{3} + 18941 T^{4} - 19588 T^{5} + 762339 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 12 T + 60 T^{2} - 844 T^{3} + 10166 T^{4} - 49796 T^{5} + 208860 T^{6} - 2464548 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T + 167 T^{2} - 688 T^{3} + 13178 T^{4} - 55384 T^{5} + 777502 T^{6} - 2394928 T^{7} + 34298293 T^{8} - 48469444 T^{9} + 714924299 T^{10} \))(\( 1 - 4 T + 167 T^{2} - 816 T^{3} + 16250 T^{4} - 62296 T^{5} + 958750 T^{6} - 2840496 T^{7} + 34298293 T^{8} - 48469444 T^{9} + 714924299 T^{10} \))(\( 1 + 19 T + 234 T^{2} + 2225 T^{3} + 19300 T^{4} + 138214 T^{5} + 984666 T^{6} + 8154626 T^{7} + 67183300 T^{8} + 456968275 T^{9} + 2835462474 T^{10} + 13583561681 T^{11} + 42180533641 T^{12} \))(\( 1 - 31 T + 663 T^{2} - 10098 T^{3} + 123988 T^{4} - 1238891 T^{5} + 10416777 T^{6} - 73094569 T^{7} + 431602228 T^{8} - 2073917142 T^{9} + 8033810343 T^{10} - 22162653269 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 211 T^{2} - 758 T^{3} + 19910 T^{4} - 50064 T^{5} + 1322524 T^{6} - 2953776 T^{7} + 69306710 T^{8} - 155677282 T^{9} + 2556763171 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 - 16 T + 371 T^{2} - 3748 T^{3} + 49612 T^{4} - 368620 T^{5} + 3668208 T^{6} - 21748580 T^{7} + 172699372 T^{8} - 769760492 T^{9} + 4495540931 T^{10} - 11438788784 T^{11} + 42180533641 T^{12} \))(\( 1 + 6 T + 211 T^{2} + 758 T^{3} + 19910 T^{4} + 50064 T^{5} + 1322524 T^{6} + 2953776 T^{7} + 69306710 T^{8} + 155677282 T^{9} + 2556763171 T^{10} + 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 + 16 T + 371 T^{2} + 3748 T^{3} + 49612 T^{4} + 368620 T^{5} + 3668208 T^{6} + 21748580 T^{7} + 172699372 T^{8} + 769760492 T^{9} + 4495540931 T^{10} + 11438788784 T^{11} + 42180533641 T^{12} \))(\( 1 + 31 T + 663 T^{2} + 10098 T^{3} + 123988 T^{4} + 1238891 T^{5} + 10416777 T^{6} + 73094569 T^{7} + 431602228 T^{8} + 2073917142 T^{9} + 8033810343 T^{10} + 22162653269 T^{11} + 42180533641 T^{12} \))(\( 1 - 19 T + 234 T^{2} - 2225 T^{3} + 19300 T^{4} - 138214 T^{5} + 984666 T^{6} - 8154626 T^{7} + 67183300 T^{8} - 456968275 T^{9} + 2835462474 T^{10} - 13583561681 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T + 396 T^{2} - 3378 T^{3} + 75645 T^{4} - 588573 T^{5} + 9079452 T^{6} - 62697717 T^{7} + 750856770 T^{8} - 4469991205 T^{9} + 44300549430 T^{10} - 218250752877 T^{11} + 1864728772308 T^{12} - 7131951515853 T^{13} + 54080448597855 T^{14} - 142485842639298 T^{15} + 985505987988324 T^{16} - 1321473938438889 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 9 T + 396 T^{2} + 3378 T^{3} + 75645 T^{4} + 588573 T^{5} + 9079452 T^{6} + 62697717 T^{7} + 750856770 T^{8} + 4469991205 T^{9} + 44300549430 T^{10} + 218250752877 T^{11} + 1864728772308 T^{12} + 7131951515853 T^{13} + 54080448597855 T^{14} + 142485842639298 T^{15} + 985505987988324 T^{16} + 1321473938438889 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 52 T + 1753 T^{2} + 42810 T^{3} + 850705 T^{4} + 14186470 T^{5} + 205956758 T^{6} + 2639776194 T^{7} + 30390911108 T^{8} + 316523613880 T^{9} + 3010126176245 T^{10} + 26214928831488 T^{11} + 210017336957185 T^{12} + 1546680801057792 T^{13} + 10478249219508845 T^{14} + 65007303295060520 T^{15} + 368257641014545988 T^{16} + 1887240145012338006 T^{17} + 8687365959410295878 T^{18} + 35305179629840198930 T^{19} + \)\(12\!\cdots\!05\)\( T^{20} + \)\(37\!\cdots\!90\)\( T^{21} + \)\(89\!\cdots\!53\)\( T^{22} + \)\(15\!\cdots\!68\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 47 T + 1443 T^{2} + 32498 T^{3} + 600963 T^{4} + 9431742 T^{5} + 130090830 T^{6} + 1600269813 T^{7} + 17833424505 T^{8} + 181335970690 T^{9} + 1695774115087 T^{10} + 14627355455212 T^{11} + 116794816664422 T^{12} + 863013971857508 T^{13} + 5902989694617847 T^{14} + 37242600324341510 T^{15} + 216094042593331305 T^{16} + 1144071774269886087 T^{17} + 5487300631200612030 T^{18} + 23472318732729724698 T^{19} + 88239660274005561123 T^{20} + \)\(28\!\cdots\!22\)\( T^{21} + \)\(73\!\cdots\!43\)\( T^{22} + \)\(14\!\cdots\!73\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 41 T + 1233 T^{2} + 26566 T^{3} + 483847 T^{4} + 7421092 T^{5} + 101356964 T^{6} + 1230313213 T^{7} + 13638041529 T^{8} + 137647334280 T^{9} + 1284961057051 T^{10} + 11043435455742 T^{11} + 88262949507294 T^{12} + 651562691888778 T^{13} + 4472949439594531 T^{14} + 28269871867092120 T^{15} + 165257072539884969 T^{16} + 879580811354462687 T^{17} + 4275290829751625924 T^{18} + 18468511624778402348 T^{19} + 71043466743537902887 T^{20} + \)\(23\!\cdots\!74\)\( T^{21} + \)\(63\!\cdots\!33\)\( T^{22} + \)\(12\!\cdots\!19\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 3 T + 219 T^{2} + 1313 T^{3} + 28410 T^{4} + 195582 T^{5} + 2837136 T^{6} + 20829741 T^{7} + 233176857 T^{8} + 1770294923 T^{9} + 16918576275 T^{10} + 127258374714 T^{11} + 1059085590932 T^{12} + 7508244108126 T^{13} + 58893564013275 T^{14} + 363581400990817 T^{15} + 2825488153114377 T^{16} + 14891687982776559 T^{17} + 119671910492092176 T^{18} + 486735434703869658 T^{19} + 4171452732338759610 T^{20} + 11374513509893934907 T^{21} + \)\(11\!\cdots\!19\)\( T^{22} + 90467665334213527977 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 3 T + 219 T^{2} - 1313 T^{3} + 28410 T^{4} - 195582 T^{5} + 2837136 T^{6} - 20829741 T^{7} + 233176857 T^{8} - 1770294923 T^{9} + 16918576275 T^{10} - 127258374714 T^{11} + 1059085590932 T^{12} - 7508244108126 T^{13} + 58893564013275 T^{14} - 363581400990817 T^{15} + 2825488153114377 T^{16} - 14891687982776559 T^{17} + 119671910492092176 T^{18} - 486735434703869658 T^{19} + 4171452732338759610 T^{20} - 11374513509893934907 T^{21} + \)\(11\!\cdots\!19\)\( T^{22} - 90467665334213527977 T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 41 T + 1233 T^{2} - 26566 T^{3} + 483847 T^{4} - 7421092 T^{5} + 101356964 T^{6} - 1230313213 T^{7} + 13638041529 T^{8} - 137647334280 T^{9} + 1284961057051 T^{10} - 11043435455742 T^{11} + 88262949507294 T^{12} - 651562691888778 T^{13} + 4472949439594531 T^{14} - 28269871867092120 T^{15} + 165257072539884969 T^{16} - 879580811354462687 T^{17} + 4275290829751625924 T^{18} - 18468511624778402348 T^{19} + 71043466743537902887 T^{20} - \)\(23\!\cdots\!74\)\( T^{21} + \)\(63\!\cdots\!33\)\( T^{22} - \)\(12\!\cdots\!19\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 47 T + 1443 T^{2} - 32498 T^{3} + 600963 T^{4} - 9431742 T^{5} + 130090830 T^{6} - 1600269813 T^{7} + 17833424505 T^{8} - 181335970690 T^{9} + 1695774115087 T^{10} - 14627355455212 T^{11} + 116794816664422 T^{12} - 863013971857508 T^{13} + 5902989694617847 T^{14} - 37242600324341510 T^{15} + 216094042593331305 T^{16} - 1144071774269886087 T^{17} + 5487300631200612030 T^{18} - 23472318732729724698 T^{19} + 88239660274005561123 T^{20} - \)\(28\!\cdots\!22\)\( T^{21} + \)\(73\!\cdots\!43\)\( T^{22} - \)\(14\!\cdots\!73\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 52 T + 1753 T^{2} - 42810 T^{3} + 850705 T^{4} - 14186470 T^{5} + 205956758 T^{6} - 2639776194 T^{7} + 30390911108 T^{8} - 316523613880 T^{9} + 3010126176245 T^{10} - 26214928831488 T^{11} + 210017336957185 T^{12} - 1546680801057792 T^{13} + 10478249219508845 T^{14} - 65007303295060520 T^{15} + 368257641014545988 T^{16} - 1887240145012338006 T^{17} + 8687365959410295878 T^{18} - 35305179629840198930 T^{19} + \)\(12\!\cdots\!05\)\( T^{20} - \)\(37\!\cdots\!90\)\( T^{21} + \)\(89\!\cdots\!53\)\( T^{22} - \)\(15\!\cdots\!68\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 3 T + 543 T^{2} + 681 T^{3} + 145329 T^{4} - 49911 T^{5} + 26026231 T^{6} - 45980460 T^{7} + 3554677128 T^{8} - 10415068178 T^{9} + 397447375002 T^{10} - 1489959969174 T^{11} + 37817348134148 T^{12} - 158812466319042 T^{13} + 3120193950688785 T^{14} - 13513217974325769 T^{15} + 224849070840683130 T^{16} - 950220530484236898 T^{17} + 14179420750556896798 T^{18} - 56063011298569976982 T^{19} + \)\(78\!\cdots\!30\)\( T^{20} - \)\(27\!\cdots\!51\)\( T^{21} + \)\(37\!\cdots\!85\)\( T^{22} - \)\(11\!\cdots\!58\)\( T^{23} + \)\(15\!\cdots\!68\)\( T^{24} - \)\(37\!\cdots\!06\)\( T^{25} + \)\(58\!\cdots\!42\)\( T^{26} - \)\(90\!\cdots\!42\)\( T^{27} + \)\(18\!\cdots\!28\)\( T^{28} - \)\(13\!\cdots\!40\)\( T^{29} + \)\(46\!\cdots\!11\)\( T^{30} - \)\(52\!\cdots\!69\)\( T^{31} + \)\(90\!\cdots\!69\)\( T^{32} + \)\(24\!\cdots\!19\)\( T^{33} + \)\(11\!\cdots\!63\)\( T^{34} + \)\(38\!\cdots\!57\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 - 15 T + 687 T^{2} - 9055 T^{3} + 235971 T^{4} - 2787057 T^{5} + 53725835 T^{6} - 575819340 T^{7} + 9065773140 T^{8} - 88921458940 T^{9} + 1202048776758 T^{10} - 10850372011416 T^{11} + 129640548204964 T^{12} - 1080495950554590 T^{13} + 11619005865423117 T^{14} - 89537984632988935 T^{15} + 876810535200608364 T^{16} - 6244466047107897912 T^{17} + 56112097067286451110 T^{18} - \)\(36\!\cdots\!08\)\( T^{19} + \)\(30\!\cdots\!84\)\( T^{20} - \)\(18\!\cdots\!65\)\( T^{21} + \)\(14\!\cdots\!37\)\( T^{22} - \)\(77\!\cdots\!10\)\( T^{23} + \)\(54\!\cdots\!24\)\( T^{24} - \)\(27\!\cdots\!04\)\( T^{25} + \)\(17\!\cdots\!18\)\( T^{26} - \)\(77\!\cdots\!60\)\( T^{27} + \)\(46\!\cdots\!40\)\( T^{28} - \)\(17\!\cdots\!60\)\( T^{29} + \)\(95\!\cdots\!35\)\( T^{30} - \)\(29\!\cdots\!03\)\( T^{31} + \)\(14\!\cdots\!31\)\( T^{32} - \)\(33\!\cdots\!45\)\( T^{33} + \)\(14\!\cdots\!67\)\( T^{34} - \)\(19\!\cdots\!85\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 - 3 T + 543 T^{2} - 681 T^{3} + 145329 T^{4} + 49911 T^{5} + 26026231 T^{6} + 45980460 T^{7} + 3554677128 T^{8} + 10415068178 T^{9} + 397447375002 T^{10} + 1489959969174 T^{11} + 37817348134148 T^{12} + 158812466319042 T^{13} + 3120193950688785 T^{14} + 13513217974325769 T^{15} + 224849070840683130 T^{16} + 950220530484236898 T^{17} + 14179420750556896798 T^{18} + 56063011298569976982 T^{19} + \)\(78\!\cdots\!30\)\( T^{20} + \)\(27\!\cdots\!51\)\( T^{21} + \)\(37\!\cdots\!85\)\( T^{22} + \)\(11\!\cdots\!58\)\( T^{23} + \)\(15\!\cdots\!68\)\( T^{24} + \)\(37\!\cdots\!06\)\( T^{25} + \)\(58\!\cdots\!42\)\( T^{26} + \)\(90\!\cdots\!42\)\( T^{27} + \)\(18\!\cdots\!28\)\( T^{28} + \)\(13\!\cdots\!40\)\( T^{29} + \)\(46\!\cdots\!11\)\( T^{30} + \)\(52\!\cdots\!69\)\( T^{31} + \)\(90\!\cdots\!69\)\( T^{32} - \)\(24\!\cdots\!19\)\( T^{33} + \)\(11\!\cdots\!63\)\( T^{34} - \)\(38\!\cdots\!57\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 + 15 T + 687 T^{2} + 9055 T^{3} + 235971 T^{4} + 2787057 T^{5} + 53725835 T^{6} + 575819340 T^{7} + 9065773140 T^{8} + 88921458940 T^{9} + 1202048776758 T^{10} + 10850372011416 T^{11} + 129640548204964 T^{12} + 1080495950554590 T^{13} + 11619005865423117 T^{14} + 89537984632988935 T^{15} + 876810535200608364 T^{16} + 6244466047107897912 T^{17} + 56112097067286451110 T^{18} + \)\(36\!\cdots\!08\)\( T^{19} + \)\(30\!\cdots\!84\)\( T^{20} + \)\(18\!\cdots\!65\)\( T^{21} + \)\(14\!\cdots\!37\)\( T^{22} + \)\(77\!\cdots\!10\)\( T^{23} + \)\(54\!\cdots\!24\)\( T^{24} + \)\(27\!\cdots\!04\)\( T^{25} + \)\(17\!\cdots\!18\)\( T^{26} + \)\(77\!\cdots\!60\)\( T^{27} + \)\(46\!\cdots\!40\)\( T^{28} + \)\(17\!\cdots\!60\)\( T^{29} + \)\(95\!\cdots\!35\)\( T^{30} + \)\(29\!\cdots\!03\)\( T^{31} + \)\(14\!\cdots\!31\)\( T^{32} + \)\(33\!\cdots\!45\)\( T^{33} + \)\(14\!\cdots\!67\)\( T^{34} + \)\(19\!\cdots\!85\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 + 44 T + 1369 T^{2} + 31366 T^{3} + 612261 T^{4} + 10287626 T^{5} + 156229590 T^{6} + 2154761566 T^{7} + 27647214746 T^{8} + 330929429040 T^{9} + 3749161937927 T^{10} + 40266084060956 T^{11} + 413921651494995 T^{12} + 4074859268326212 T^{13} + 38670280345777437 T^{14} + 353624677810767108 T^{15} + 3130250422561979713 T^{16} + 26790648968442705886 T^{17} + \)\(22\!\cdots\!09\)\( T^{18} + \)\(17\!\cdots\!04\)\( T^{19} + \)\(13\!\cdots\!80\)\( T^{20} + \)\(10\!\cdots\!36\)\( T^{21} + \)\(77\!\cdots\!29\)\( T^{22} + \)\(55\!\cdots\!94\)\( T^{23} + \)\(37\!\cdots\!93\)\( T^{24} + \)\(25\!\cdots\!92\)\( T^{25} + \)\(16\!\cdots\!17\)\( T^{26} + \)\(10\!\cdots\!28\)\( T^{27} + \)\(60\!\cdots\!95\)\( T^{28} + \)\(34\!\cdots\!84\)\( T^{29} + \)\(19\!\cdots\!27\)\( T^{30} + \)\(99\!\cdots\!60\)\( T^{31} + \)\(49\!\cdots\!26\)\( T^{32} + \)\(22\!\cdots\!14\)\( T^{33} + \)\(96\!\cdots\!90\)\( T^{34} + \)\(37\!\cdots\!74\)\( T^{35} + \)\(13\!\cdots\!01\)\( T^{36} + \)\(39\!\cdots\!54\)\( T^{37} + \)\(10\!\cdots\!49\)\( T^{38} + \)\(19\!\cdots\!16\)\( T^{39} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( 1 - 44 T + 1369 T^{2} - 31366 T^{3} + 612261 T^{4} - 10287626 T^{5} + 156229590 T^{6} - 2154761566 T^{7} + 27647214746 T^{8} - 330929429040 T^{9} + 3749161937927 T^{10} - 40266084060956 T^{11} + 413921651494995 T^{12} - 4074859268326212 T^{13} + 38670280345777437 T^{14} - 353624677810767108 T^{15} + 3130250422561979713 T^{16} - 26790648968442705886 T^{17} + \)\(22\!\cdots\!09\)\( T^{18} - \)\(17\!\cdots\!04\)\( T^{19} + \)\(13\!\cdots\!80\)\( T^{20} - \)\(10\!\cdots\!36\)\( T^{21} + \)\(77\!\cdots\!29\)\( T^{22} - \)\(55\!\cdots\!94\)\( T^{23} + \)\(37\!\cdots\!93\)\( T^{24} - \)\(25\!\cdots\!92\)\( T^{25} + \)\(16\!\cdots\!17\)\( T^{26} - \)\(10\!\cdots\!28\)\( T^{27} + \)\(60\!\cdots\!95\)\( T^{28} - \)\(34\!\cdots\!84\)\( T^{29} + \)\(19\!\cdots\!27\)\( T^{30} - \)\(99\!\cdots\!60\)\( T^{31} + \)\(49\!\cdots\!26\)\( T^{32} - \)\(22\!\cdots\!14\)\( T^{33} + \)\(96\!\cdots\!90\)\( T^{34} - \)\(37\!\cdots\!74\)\( T^{35} + \)\(13\!\cdots\!01\)\( T^{36} - \)\(39\!\cdots\!54\)\( T^{37} + \)\(10\!\cdots\!49\)\( T^{38} - \)\(19\!\cdots\!16\)\( T^{39} + \)\(26\!\cdots\!01\)\( T^{40} \))
$61$ (\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 9 T + 41 T^{2} + 549 T^{3} + 3721 T^{4} \))(\( 1 - 23 T + 253 T^{2} - 1403 T^{3} + 3721 T^{4} \))(\( 1 - 23 T + 253 T^{2} - 1403 T^{3} + 3721 T^{4} \))(\( 1 + 9 T + 41 T^{2} + 549 T^{3} + 3721 T^{4} \))(\( 1 + 135 T^{2} + 64 T^{3} + 8235 T^{4} + 226981 T^{6} \))(\( 1 - 14 T + 163 T^{2} - 1236 T^{3} + 9943 T^{4} - 52094 T^{5} + 226981 T^{6} \))(\( 1 + 2 T + 131 T^{2} + 204 T^{3} + 7991 T^{4} + 7442 T^{5} + 226981 T^{6} \))(\( 1 - 14 T + 195 T^{2} - 1556 T^{3} + 11895 T^{4} - 52094 T^{5} + 226981 T^{6} \))(\( 1 + 2 T + 131 T^{2} + 204 T^{3} + 7991 T^{4} + 7442 T^{5} + 226981 T^{6} \))(\( 1 + 135 T^{2} + 64 T^{3} + 8235 T^{4} + 226981 T^{6} \))(\( 1 - 12 T + 260 T^{2} - 2084 T^{3} + 24198 T^{4} - 127124 T^{5} + 967460 T^{6} - 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 11 T + 284 T^{2} + 2069 T^{3} + 27229 T^{4} + 126209 T^{5} + 1056764 T^{6} + 2496791 T^{7} + 13845841 T^{8} \))(\( 1 + 13 T + 182 T^{2} + 1357 T^{3} + 13629 T^{4} + 82777 T^{5} + 677222 T^{6} + 2950753 T^{7} + 13845841 T^{8} \))(\( 1 + 11 T + 284 T^{2} + 2069 T^{3} + 27229 T^{4} + 126209 T^{5} + 1056764 T^{6} + 2496791 T^{7} + 13845841 T^{8} \))(\( 1 + 13 T + 182 T^{2} + 1357 T^{3} + 13629 T^{4} + 82777 T^{5} + 677222 T^{6} + 2950753 T^{7} + 13845841 T^{8} \))(\( 1 - 12 T + 260 T^{2} - 2084 T^{3} + 24198 T^{4} - 127124 T^{5} + 967460 T^{6} - 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 14 T + 185 T^{2} + 2056 T^{3} + 20450 T^{4} + 163380 T^{5} + 1247450 T^{6} + 7650376 T^{7} + 41991485 T^{8} + 193841774 T^{9} + 844596301 T^{10} \))(\( 1 - 10 T + 217 T^{2} - 1496 T^{3} + 20802 T^{4} - 111964 T^{5} + 1268922 T^{6} - 5566616 T^{7} + 49254877 T^{8} - 138458410 T^{9} + 844596301 T^{10} \))(\( 1 + 10 T + 315 T^{2} + 2255 T^{3} + 41490 T^{4} + 228025 T^{5} + 3173317 T^{6} + 13909525 T^{7} + 154384290 T^{8} + 511842155 T^{9} + 4361439915 T^{10} + 8445963010 T^{11} + 51520374361 T^{12} \))(\( 1 + 22 T + 427 T^{2} + 5759 T^{3} + 67378 T^{4} + 652537 T^{5} + 5506413 T^{6} + 39804757 T^{7} + 250713538 T^{8} + 1307183579 T^{9} + 5912174107 T^{10} + 18581118622 T^{11} + 51520374361 T^{12} \))(\( 1 + 19 T + 478 T^{2} + 5843 T^{3} + 81366 T^{4} + 709698 T^{5} + 6817214 T^{6} + 43291578 T^{7} + 302762886 T^{8} + 1326249983 T^{9} + 6618311998 T^{10} + 16047329719 T^{11} + 51520374361 T^{12} \))(\( 1 - 11 T + 184 T^{2} - 1841 T^{3} + 18210 T^{4} - 155548 T^{5} + 1314226 T^{6} - 9488428 T^{7} + 67759410 T^{8} - 417872021 T^{9} + 2547634744 T^{10} - 9290559311 T^{11} + 51520374361 T^{12} \))(\( 1 + 19 T + 478 T^{2} + 5843 T^{3} + 81366 T^{4} + 709698 T^{5} + 6817214 T^{6} + 43291578 T^{7} + 302762886 T^{8} + 1326249983 T^{9} + 6618311998 T^{10} + 16047329719 T^{11} + 51520374361 T^{12} \))(\( 1 - 11 T + 184 T^{2} - 1841 T^{3} + 18210 T^{4} - 155548 T^{5} + 1314226 T^{6} - 9488428 T^{7} + 67759410 T^{8} - 417872021 T^{9} + 2547634744 T^{10} - 9290559311 T^{11} + 51520374361 T^{12} \))(\( 1 + 22 T + 427 T^{2} + 5759 T^{3} + 67378 T^{4} + 652537 T^{5} + 5506413 T^{6} + 39804757 T^{7} + 250713538 T^{8} + 1307183579 T^{9} + 5912174107 T^{10} + 18581118622 T^{11} + 51520374361 T^{12} \))(\( 1 + 10 T + 315 T^{2} + 2255 T^{3} + 41490 T^{4} + 228025 T^{5} + 3173317 T^{6} + 13909525 T^{7} + 154384290 T^{8} + 511842155 T^{9} + 4361439915 T^{10} + 8445963010 T^{11} + 51520374361 T^{12} \))(\( 1 - 9 T + 168 T^{2} - 704 T^{3} + 13875 T^{4} - 44091 T^{5} + 1164840 T^{6} - 3861243 T^{7} + 91476030 T^{8} - 305866355 T^{9} + 5580037830 T^{10} - 14367685203 T^{11} + 264396548040 T^{12} - 610476975531 T^{13} + 11718773676375 T^{14} - 36270343550144 T^{15} + 527980796451528 T^{16} - 1725365816975529 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 9 T + 168 T^{2} - 704 T^{3} + 13875 T^{4} - 44091 T^{5} + 1164840 T^{6} - 3861243 T^{7} + 91476030 T^{8} - 305866355 T^{9} + 5580037830 T^{10} - 14367685203 T^{11} + 264396548040 T^{12} - 610476975531 T^{13} + 11718773676375 T^{14} - 36270343550144 T^{15} + 527980796451528 T^{16} - 1725365816975529 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 8 T + 378 T^{2} + 2722 T^{3} + 72405 T^{4} + 482568 T^{5} + 9569411 T^{6} + 59664224 T^{7} + 973914912 T^{8} + 5647879558 T^{9} + 79759576705 T^{10} + 425286607260 T^{11} + 5357353602117 T^{12} + 25942483042860 T^{13} + 296785384919305 T^{14} + 1281961349954398 T^{15} + 13484671019080992 T^{16} + 50392182892435424 T^{17} + 493019637134271371 T^{18} + 1516587124892981928 T^{19} + 13880567997568130805 T^{20} + 31831465664694531802 T^{21} + \)\(26\!\cdots\!78\)\( T^{22} + \)\(34\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 19 T + 570 T^{2} - 9097 T^{3} + 155761 T^{4} - 2058337 T^{5} + 26668426 T^{6} - 295761660 T^{7} + 3187253916 T^{8} - 30461651341 T^{9} + 283366280152 T^{10} - 2385175871470 T^{11} + 19504110162076 T^{12} - 145495728159670 T^{13} + 1054405928445592 T^{14} - 6914216083031521 T^{15} + 44130210947563356 T^{16} - 249799204013619660 T^{17} + 1373967291138625786 T^{18} - 6468823860866957077 T^{19} + 29860522779769485841 T^{20} - \)\(10\!\cdots\!77\)\( T^{21} + \)\(40\!\cdots\!70\)\( T^{22} - \)\(82\!\cdots\!59\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 17 T + 514 T^{2} + 6083 T^{3} + 104665 T^{4} + 931951 T^{5} + 12120538 T^{6} + 87730200 T^{7} + 1015604240 T^{8} + 6653304131 T^{9} + 74492743920 T^{10} + 466018976094 T^{11} + 4899110073156 T^{12} + 28427157541734 T^{13} + 277187500126320 T^{14} + 1510173624958511 T^{15} + 14061894825965840 T^{16} + 74096602405990200 T^{17} + 624454655216726218 T^{18} + 2928882328772606971 T^{19} + 20065045914860415865 T^{20} + 71135490682710079703 T^{21} + \)\(36\!\cdots\!14\)\( T^{22} + \)\(73\!\cdots\!37\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 33 T + 801 T^{2} + 14245 T^{3} + 223314 T^{4} + 3027096 T^{5} + 37630706 T^{6} + 423233373 T^{7} + 4446358173 T^{8} + 43213474945 T^{9} + 395643040413 T^{10} + 3378643501992 T^{11} + 27276929029440 T^{12} + 206097253621512 T^{13} + 1472187753376773 T^{14} + 9808637756491045 T^{15} + 61563568292408493 T^{16} + 357461341295553273 T^{17} + 1938748060588728866 T^{18} + 9513384267947825016 T^{19} + 42810926894674809234 T^{20} + \)\(16\!\cdots\!45\)\( T^{21} + \)\(57\!\cdots\!01\)\( T^{22} + \)\(14\!\cdots\!13\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 33 T + 801 T^{2} + 14245 T^{3} + 223314 T^{4} + 3027096 T^{5} + 37630706 T^{6} + 423233373 T^{7} + 4446358173 T^{8} + 43213474945 T^{9} + 395643040413 T^{10} + 3378643501992 T^{11} + 27276929029440 T^{12} + 206097253621512 T^{13} + 1472187753376773 T^{14} + 9808637756491045 T^{15} + 61563568292408493 T^{16} + 357461341295553273 T^{17} + 1938748060588728866 T^{18} + 9513384267947825016 T^{19} + 42810926894674809234 T^{20} + \)\(16\!\cdots\!45\)\( T^{21} + \)\(57\!\cdots\!01\)\( T^{22} + \)\(14\!\cdots\!13\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 17 T + 514 T^{2} + 6083 T^{3} + 104665 T^{4} + 931951 T^{5} + 12120538 T^{6} + 87730200 T^{7} + 1015604240 T^{8} + 6653304131 T^{9} + 74492743920 T^{10} + 466018976094 T^{11} + 4899110073156 T^{12} + 28427157541734 T^{13} + 277187500126320 T^{14} + 1510173624958511 T^{15} + 14061894825965840 T^{16} + 74096602405990200 T^{17} + 624454655216726218 T^{18} + 2928882328772606971 T^{19} + 20065045914860415865 T^{20} + 71135490682710079703 T^{21} + \)\(36\!\cdots\!14\)\( T^{22} + \)\(73\!\cdots\!37\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 19 T + 570 T^{2} - 9097 T^{3} + 155761 T^{4} - 2058337 T^{5} + 26668426 T^{6} - 295761660 T^{7} + 3187253916 T^{8} - 30461651341 T^{9} + 283366280152 T^{10} - 2385175871470 T^{11} + 19504110162076 T^{12} - 145495728159670 T^{13} + 1054405928445592 T^{14} - 6914216083031521 T^{15} + 44130210947563356 T^{16} - 249799204013619660 T^{17} + 1373967291138625786 T^{18} - 6468823860866957077 T^{19} + 29860522779769485841 T^{20} - \)\(10\!\cdots\!77\)\( T^{21} + \)\(40\!\cdots\!70\)\( T^{22} - \)\(82\!\cdots\!59\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 8 T + 378 T^{2} + 2722 T^{3} + 72405 T^{4} + 482568 T^{5} + 9569411 T^{6} + 59664224 T^{7} + 973914912 T^{8} + 5647879558 T^{9} + 79759576705 T^{10} + 425286607260 T^{11} + 5357353602117 T^{12} + 25942483042860 T^{13} + 296785384919305 T^{14} + 1281961349954398 T^{15} + 13484671019080992 T^{16} + 50392182892435424 T^{17} + 493019637134271371 T^{18} + 1516587124892981928 T^{19} + 13880567997568130805 T^{20} + 31831465664694531802 T^{21} + \)\(26\!\cdots\!78\)\( T^{22} + \)\(34\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 3 T + 405 T^{2} + 1063 T^{3} + 78447 T^{4} + 156813 T^{5} + 10248463 T^{6} + 13022382 T^{7} + 1072312032 T^{8} + 725060648 T^{9} + 97341320466 T^{10} + 24016197036 T^{11} + 7858042117272 T^{12} - 1111639632900 T^{13} + 573731892433257 T^{14} - 261508790571723 T^{15} + 38672312630261712 T^{16} - 23075735444652114 T^{17} + 2436532029215350562 T^{18} - 1407619862123778954 T^{19} + \)\(14\!\cdots\!52\)\( T^{20} - 59357526792760258263 T^{21} + \)\(79\!\cdots\!37\)\( T^{22} - \)\(93\!\cdots\!00\)\( T^{23} + \)\(40\!\cdots\!92\)\( T^{24} + \)\(75\!\cdots\!56\)\( T^{25} + \)\(18\!\cdots\!46\)\( T^{26} + \)\(84\!\cdots\!68\)\( T^{27} + \)\(76\!\cdots\!32\)\( T^{28} + \)\(56\!\cdots\!02\)\( T^{29} + \)\(27\!\cdots\!23\)\( T^{30} + \)\(25\!\cdots\!53\)\( T^{31} + \)\(77\!\cdots\!27\)\( T^{32} + \)\(64\!\cdots\!63\)\( T^{33} + \)\(14\!\cdots\!05\)\( T^{34} + \)\(67\!\cdots\!63\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 - 51 T + 1887 T^{2} - 51425 T^{3} + 1181439 T^{4} - 23235711 T^{5} + 407146909 T^{6} - 6421711104 T^{7} + 92813808978 T^{8} - 1237523458466 T^{9} + 15371801381538 T^{10} - 178663274441394 T^{11} + 1954606717819218 T^{12} - 20183777517281322 T^{13} + 197457580027680171 T^{14} - 1832959934351826787 T^{15} + 16181369188333616292 T^{16} - \)\(13\!\cdots\!56\)\( T^{17} + \)\(10\!\cdots\!98\)\( T^{18} - \)\(82\!\cdots\!16\)\( T^{19} + \)\(60\!\cdots\!32\)\( T^{20} - \)\(41\!\cdots\!47\)\( T^{21} + \)\(27\!\cdots\!11\)\( T^{22} - \)\(17\!\cdots\!22\)\( T^{23} + \)\(10\!\cdots\!98\)\( T^{24} - \)\(56\!\cdots\!74\)\( T^{25} + \)\(29\!\cdots\!78\)\( T^{26} - \)\(14\!\cdots\!06\)\( T^{27} + \)\(66\!\cdots\!78\)\( T^{28} - \)\(27\!\cdots\!44\)\( T^{29} + \)\(10\!\cdots\!89\)\( T^{30} - \)\(37\!\cdots\!91\)\( T^{31} + \)\(11\!\cdots\!99\)\( T^{32} - \)\(30\!\cdots\!25\)\( T^{33} + \)\(69\!\cdots\!07\)\( T^{34} - \)\(11\!\cdots\!71\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 + 3 T + 405 T^{2} + 1063 T^{3} + 78447 T^{4} + 156813 T^{5} + 10248463 T^{6} + 13022382 T^{7} + 1072312032 T^{8} + 725060648 T^{9} + 97341320466 T^{10} + 24016197036 T^{11} + 7858042117272 T^{12} - 1111639632900 T^{13} + 573731892433257 T^{14} - 261508790571723 T^{15} + 38672312630261712 T^{16} - 23075735444652114 T^{17} + 2436532029215350562 T^{18} - 1407619862123778954 T^{19} + \)\(14\!\cdots\!52\)\( T^{20} - 59357526792760258263 T^{21} + \)\(79\!\cdots\!37\)\( T^{22} - \)\(93\!\cdots\!00\)\( T^{23} + \)\(40\!\cdots\!92\)\( T^{24} + \)\(75\!\cdots\!56\)\( T^{25} + \)\(18\!\cdots\!46\)\( T^{26} + \)\(84\!\cdots\!68\)\( T^{27} + \)\(76\!\cdots\!32\)\( T^{28} + \)\(56\!\cdots\!02\)\( T^{29} + \)\(27\!\cdots\!23\)\( T^{30} + \)\(25\!\cdots\!53\)\( T^{31} + \)\(77\!\cdots\!27\)\( T^{32} + \)\(64\!\cdots\!63\)\( T^{33} + \)\(14\!\cdots\!05\)\( T^{34} + \)\(67\!\cdots\!63\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 - 51 T + 1887 T^{2} - 51425 T^{3} + 1181439 T^{4} - 23235711 T^{5} + 407146909 T^{6} - 6421711104 T^{7} + 92813808978 T^{8} - 1237523458466 T^{9} + 15371801381538 T^{10} - 178663274441394 T^{11} + 1954606717819218 T^{12} - 20183777517281322 T^{13} + 197457580027680171 T^{14} - 1832959934351826787 T^{15} + 16181369188333616292 T^{16} - \)\(13\!\cdots\!56\)\( T^{17} + \)\(10\!\cdots\!98\)\( T^{18} - \)\(82\!\cdots\!16\)\( T^{19} + \)\(60\!\cdots\!32\)\( T^{20} - \)\(41\!\cdots\!47\)\( T^{21} + \)\(27\!\cdots\!11\)\( T^{22} - \)\(17\!\cdots\!22\)\( T^{23} + \)\(10\!\cdots\!98\)\( T^{24} - \)\(56\!\cdots\!74\)\( T^{25} + \)\(29\!\cdots\!78\)\( T^{26} - \)\(14\!\cdots\!06\)\( T^{27} + \)\(66\!\cdots\!78\)\( T^{28} - \)\(27\!\cdots\!44\)\( T^{29} + \)\(10\!\cdots\!89\)\( T^{30} - \)\(37\!\cdots\!91\)\( T^{31} + \)\(11\!\cdots\!99\)\( T^{32} - \)\(30\!\cdots\!25\)\( T^{33} + \)\(69\!\cdots\!07\)\( T^{34} - \)\(11\!\cdots\!71\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 - 28 T + 978 T^{2} - 18670 T^{3} + 393321 T^{4} - 5909660 T^{5} + 95313323 T^{6} - 1208671904 T^{7} + 16350731778 T^{8} - 182277015566 T^{9} + 2168912016405 T^{10} - 21811456823580 T^{11} + 234904966941695 T^{12} - 2168957569114356 T^{13} + 21554561829546383 T^{14} - 185202625716581578 T^{15} + 1722628863134633985 T^{16} - 13923022979763214660 T^{17} + \)\(12\!\cdots\!75\)\( T^{18} - \)\(93\!\cdots\!98\)\( T^{19} + \)\(78\!\cdots\!88\)\( T^{20} - \)\(57\!\cdots\!78\)\( T^{21} + \)\(45\!\cdots\!75\)\( T^{22} - \)\(31\!\cdots\!60\)\( T^{23} + \)\(23\!\cdots\!85\)\( T^{24} - \)\(15\!\cdots\!78\)\( T^{25} + \)\(11\!\cdots\!63\)\( T^{26} - \)\(68\!\cdots\!76\)\( T^{27} + \)\(45\!\cdots\!95\)\( T^{28} - \)\(25\!\cdots\!80\)\( T^{29} + \)\(15\!\cdots\!05\)\( T^{30} - \)\(79\!\cdots\!26\)\( T^{31} + \)\(43\!\cdots\!38\)\( T^{32} - \)\(19\!\cdots\!24\)\( T^{33} + \)\(94\!\cdots\!43\)\( T^{34} - \)\(35\!\cdots\!60\)\( T^{35} + \)\(14\!\cdots\!81\)\( T^{36} - \)\(41\!\cdots\!70\)\( T^{37} + \)\(13\!\cdots\!18\)\( T^{38} - \)\(23\!\cdots\!48\)\( T^{39} + \)\(50\!\cdots\!01\)\( T^{40} \))(\( 1 - 28 T + 978 T^{2} - 18670 T^{3} + 393321 T^{4} - 5909660 T^{5} + 95313323 T^{6} - 1208671904 T^{7} + 16350731778 T^{8} - 182277015566 T^{9} + 2168912016405 T^{10} - 21811456823580 T^{11} + 234904966941695 T^{12} - 2168957569114356 T^{13} + 21554561829546383 T^{14} - 185202625716581578 T^{15} + 1722628863134633985 T^{16} - 13923022979763214660 T^{17} + \)\(12\!\cdots\!75\)\( T^{18} - \)\(93\!\cdots\!98\)\( T^{19} + \)\(78\!\cdots\!88\)\( T^{20} - \)\(57\!\cdots\!78\)\( T^{21} + \)\(45\!\cdots\!75\)\( T^{22} - \)\(31\!\cdots\!60\)\( T^{23} + \)\(23\!\cdots\!85\)\( T^{24} - \)\(15\!\cdots\!78\)\( T^{25} + \)\(11\!\cdots\!63\)\( T^{26} - \)\(68\!\cdots\!76\)\( T^{27} + \)\(45\!\cdots\!95\)\( T^{28} - \)\(25\!\cdots\!80\)\( T^{29} + \)\(15\!\cdots\!05\)\( T^{30} - \)\(79\!\cdots\!26\)\( T^{31} + \)\(43\!\cdots\!38\)\( T^{32} - \)\(19\!\cdots\!24\)\( T^{33} + \)\(94\!\cdots\!43\)\( T^{34} - \)\(35\!\cdots\!60\)\( T^{35} + \)\(14\!\cdots\!81\)\( T^{36} - \)\(41\!\cdots\!70\)\( T^{37} + \)\(13\!\cdots\!18\)\( T^{38} - \)\(23\!\cdots\!48\)\( T^{39} + \)\(50\!\cdots\!01\)\( T^{40} \))
$67$ (\( 1 + 2 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 + 4 T + 118 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 22 T + 235 T^{2} + 1474 T^{3} + 4489 T^{4} \))(\( 1 - 22 T + 235 T^{2} - 1474 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 118 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 18 T + 225 T^{2} - 1828 T^{3} + 15075 T^{4} - 80802 T^{5} + 300763 T^{6} \))(\( 1 - 8 T + 153 T^{2} - 784 T^{3} + 10251 T^{4} - 35912 T^{5} + 300763 T^{6} \))(\( 1 + 2 T + 117 T^{2} + 164 T^{3} + 7839 T^{4} + 8978 T^{5} + 300763 T^{6} \))(\( 1 - 4 T + 169 T^{2} - 568 T^{3} + 11323 T^{4} - 17956 T^{5} + 300763 T^{6} \))(\( 1 - 2 T + 117 T^{2} - 164 T^{3} + 7839 T^{4} - 8978 T^{5} + 300763 T^{6} \))(\( 1 + 18 T + 225 T^{2} + 1828 T^{3} + 15075 T^{4} + 80802 T^{5} + 300763 T^{6} \))(\( 1 + 164 T^{2} - 544 T^{3} + 12246 T^{4} - 36448 T^{5} + 736196 T^{6} + 20151121 T^{8} \))(\( 1 - 4 T + 192 T^{2} - 393 T^{3} + 16221 T^{4} - 26331 T^{5} + 861888 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 16 T + 260 T^{2} - 2643 T^{3} + 27117 T^{4} - 177081 T^{5} + 1167140 T^{6} - 4812208 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 192 T^{2} + 393 T^{3} + 16221 T^{4} + 26331 T^{5} + 861888 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 16 T + 260 T^{2} + 2643 T^{3} + 27117 T^{4} + 177081 T^{5} + 1167140 T^{6} + 4812208 T^{7} + 20151121 T^{8} \))(\( 1 + 164 T^{2} + 544 T^{3} + 12246 T^{4} + 36448 T^{5} + 736196 T^{6} + 20151121 T^{8} \))(\( 1 - 20 T + 351 T^{2} - 4400 T^{3} + 47018 T^{4} - 410552 T^{5} + 3150206 T^{6} - 19751600 T^{7} + 105567813 T^{8} - 403022420 T^{9} + 1350125107 T^{10} \))(\( 1 + 10 T + 199 T^{2} + 1272 T^{3} + 21074 T^{4} + 120732 T^{5} + 1411958 T^{6} + 5710008 T^{7} + 59851837 T^{8} + 201511210 T^{9} + 1350125107 T^{10} \))(\( 1 + 13 T + 229 T^{2} + 1898 T^{3} + 22156 T^{4} + 152365 T^{5} + 1555092 T^{6} + 10208455 T^{7} + 99458284 T^{8} + 570848174 T^{9} + 4614606709 T^{10} + 17551626391 T^{11} + 90458382169 T^{12} \))(\( 1 - 21 T + 380 T^{2} - 5341 T^{3} + 61845 T^{4} - 623639 T^{5} + 5476625 T^{6} - 41783813 T^{7} + 277622205 T^{8} - 1606375183 T^{9} + 7657425980 T^{10} - 28352627247 T^{11} + 90458382169 T^{12} \))(\( 1 - 8 T + 42 T^{2} + 45 T^{3} - 2630 T^{4} + 21685 T^{5} + 89398 T^{6} + 1452895 T^{7} - 11806070 T^{8} + 13534335 T^{9} + 846347082 T^{10} - 10801000856 T^{11} + 90458382169 T^{12} \))(\( 1 - 12 T + 294 T^{2} - 2561 T^{3} + 33634 T^{4} - 239469 T^{5} + 2466462 T^{6} - 16044423 T^{7} + 150983026 T^{8} - 770254043 T^{9} + 5924429574 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 8 T + 42 T^{2} - 45 T^{3} - 2630 T^{4} - 21685 T^{5} + 89398 T^{6} - 1452895 T^{7} - 11806070 T^{8} - 13534335 T^{9} + 846347082 T^{10} + 10801000856 T^{11} + 90458382169 T^{12} \))(\( 1 + 12 T + 294 T^{2} + 2561 T^{3} + 33634 T^{4} + 239469 T^{5} + 2466462 T^{6} + 16044423 T^{7} + 150983026 T^{8} + 770254043 T^{9} + 5924429574 T^{10} + 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 21 T + 380 T^{2} + 5341 T^{3} + 61845 T^{4} + 623639 T^{5} + 5476625 T^{6} + 41783813 T^{7} + 277622205 T^{8} + 1606375183 T^{9} + 7657425980 T^{10} + 28352627247 T^{11} + 90458382169 T^{12} \))(\( 1 - 13 T + 229 T^{2} - 1898 T^{3} + 22156 T^{4} - 152365 T^{5} + 1555092 T^{6} - 10208455 T^{7} + 99458284 T^{8} - 570848174 T^{9} + 4614606709 T^{10} - 17551626391 T^{11} + 90458382169 T^{12} \))(\( 1 - 18 T + 462 T^{2} - 6560 T^{3} + 103830 T^{4} - 1205466 T^{5} + 14508349 T^{6} - 140249100 T^{7} + 1380606144 T^{8} - 11224287992 T^{9} + 92500611648 T^{10} - 629578209900 T^{11} + 4363574570287 T^{12} - 24291491227386 T^{13} + 140183489859810 T^{14} - 593406987028640 T^{15} + 2800048761659226 T^{16} - 7309218196019538 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 18 T + 462 T^{2} + 6560 T^{3} + 103830 T^{4} + 1205466 T^{5} + 14508349 T^{6} + 140249100 T^{7} + 1380606144 T^{8} + 11224287992 T^{9} + 92500611648 T^{10} + 629578209900 T^{11} + 4363574570287 T^{12} + 24291491227386 T^{13} + 140183489859810 T^{14} + 593406987028640 T^{15} + 2800048761659226 T^{16} + 7309218196019538 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 28 T + 737 T^{2} + 13016 T^{3} + 217588 T^{4} + 2981636 T^{5} + 39118973 T^{6} + 449407736 T^{7} + 4977436327 T^{8} + 49660836156 T^{9} + 479538365083 T^{10} + 4227214387968 T^{11} + 36141690428279 T^{12} + 283223363993856 T^{13} + 2152647720857587 T^{14} + 14936142064787028 T^{15} + 100300921695172567 T^{16} + 606756667653627752 T^{17} + 3538639009692792437 T^{18} + 18070835908048848428 T^{19} + 88355453824194401908 T^{20} + \)\(35\!\cdots\!52\)\( T^{21} + \)\(13\!\cdots\!13\)\( T^{22} + \)\(34\!\cdots\!24\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 11 T + 511 T^{2} + 5164 T^{3} + 124001 T^{4} + 1137162 T^{5} + 19165384 T^{6} + 158570994 T^{7} + 2146795332 T^{8} + 16078710202 T^{9} + 188919060942 T^{10} + 1293620937181 T^{11} + 13771094074674 T^{12} + 86672602791127 T^{13} + 848057664568638 T^{14} + 4835881116484126 T^{15} + 43260332497367172 T^{16} + 214090680241346358 T^{17} + 1733669630287637896 T^{18} + 6892010930532313326 T^{19} + 50352798084701040641 T^{20} + \)\(14\!\cdots\!08\)\( T^{21} + \)\(93\!\cdots\!39\)\( T^{22} + \)\(13\!\cdots\!13\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 25 T + 711 T^{2} + 10960 T^{3} + 182189 T^{4} + 2045994 T^{5} + 25359824 T^{6} + 222954950 T^{7} + 2300862252 T^{8} + 16602511674 T^{9} + 158061899250 T^{10} + 1023820945403 T^{11} + 10174235520066 T^{12} + 68596003342001 T^{13} + 709539865733250 T^{14} + 4993421218607262 T^{15} + 46364953644384492 T^{16} + 301017075724929650 T^{17} + 2294008651130578256 T^{18} + 12400179580221226062 T^{19} + 73981064106366867149 T^{20} + \)\(29\!\cdots\!20\)\( T^{21} + \)\(12\!\cdots\!39\)\( T^{22} + \)\(30\!\cdots\!75\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 36 T + 975 T^{2} - 18178 T^{3} + 288159 T^{4} - 3740070 T^{5} + 43657352 T^{6} - 445201386 T^{7} + 4248230625 T^{8} - 36885849858 T^{9} + 312809409513 T^{10} - 2522792487696 T^{11} + 20868295997502 T^{12} - 169027096675632 T^{13} + 1404201439303857 T^{14} - 11093898860841654 T^{15} + 85606609360280625 T^{16} - 601077568909798302 T^{17} + 3949173431702556488 T^{18} - 22667485653720392610 T^{19} + \)\(11\!\cdots\!19\)\( T^{20} - \)\(49\!\cdots\!66\)\( T^{21} + \)\(17\!\cdots\!75\)\( T^{22} - \)\(43\!\cdots\!88\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 36 T + 975 T^{2} + 18178 T^{3} + 288159 T^{4} + 3740070 T^{5} + 43657352 T^{6} + 445201386 T^{7} + 4248230625 T^{8} + 36885849858 T^{9} + 312809409513 T^{10} + 2522792487696 T^{11} + 20868295997502 T^{12} + 169027096675632 T^{13} + 1404201439303857 T^{14} + 11093898860841654 T^{15} + 85606609360280625 T^{16} + 601077568909798302 T^{17} + 3949173431702556488 T^{18} + 22667485653720392610 T^{19} + \)\(11\!\cdots\!19\)\( T^{20} + \)\(49\!\cdots\!66\)\( T^{21} + \)\(17\!\cdots\!75\)\( T^{22} + \)\(43\!\cdots\!88\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 25 T + 711 T^{2} - 10960 T^{3} + 182189 T^{4} - 2045994 T^{5} + 25359824 T^{6} - 222954950 T^{7} + 2300862252 T^{8} - 16602511674 T^{9} + 158061899250 T^{10} - 1023820945403 T^{11} + 10174235520066 T^{12} - 68596003342001 T^{13} + 709539865733250 T^{14} - 4993421218607262 T^{15} + 46364953644384492 T^{16} - 301017075724929650 T^{17} + 2294008651130578256 T^{18} - 12400179580221226062 T^{19} + 73981064106366867149 T^{20} - \)\(29\!\cdots\!20\)\( T^{21} + \)\(12\!\cdots\!39\)\( T^{22} - \)\(30\!\cdots\!75\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 11 T + 511 T^{2} - 5164 T^{3} + 124001 T^{4} - 1137162 T^{5} + 19165384 T^{6} - 158570994 T^{7} + 2146795332 T^{8} - 16078710202 T^{9} + 188919060942 T^{10} - 1293620937181 T^{11} + 13771094074674 T^{12} - 86672602791127 T^{13} + 848057664568638 T^{14} - 4835881116484126 T^{15} + 43260332497367172 T^{16} - 214090680241346358 T^{17} + 1733669630287637896 T^{18} - 6892010930532313326 T^{19} + 50352798084701040641 T^{20} - \)\(14\!\cdots\!08\)\( T^{21} + \)\(93\!\cdots\!39\)\( T^{22} - \)\(13\!\cdots\!13\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 28 T + 737 T^{2} - 13016 T^{3} + 217588 T^{4} - 2981636 T^{5} + 39118973 T^{6} - 449407736 T^{7} + 4977436327 T^{8} - 49660836156 T^{9} + 479538365083 T^{10} - 4227214387968 T^{11} + 36141690428279 T^{12} - 283223363993856 T^{13} + 2152647720857587 T^{14} - 14936142064787028 T^{15} + 100300921695172567 T^{16} - 606756667653627752 T^{17} + 3538639009692792437 T^{18} - 18070835908048848428 T^{19} + 88355453824194401908 T^{20} - \)\(35\!\cdots\!52\)\( T^{21} + \)\(13\!\cdots\!13\)\( T^{22} - \)\(34\!\cdots\!24\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 36 T + 1449 T^{2} + 35854 T^{3} + 872760 T^{4} + 16817478 T^{5} + 310884819 T^{6} + 4962250248 T^{7} + 75651625965 T^{8} + 1036805623728 T^{9} + 13585165769442 T^{10} + 163545276312276 T^{11} + 1886618326554247 T^{12} + 20252962974475908 T^{13} + 208799251244206317 T^{14} + 2018506671687478522 T^{15} + 18771031625112186027 T^{16} + \)\(16\!\cdots\!38\)\( T^{17} + \)\(13\!\cdots\!38\)\( T^{18} + \)\(11\!\cdots\!46\)\( T^{19} + \)\(84\!\cdots\!03\)\( T^{20} + \)\(60\!\cdots\!86\)\( T^{21} + \)\(42\!\cdots\!57\)\( T^{22} + \)\(27\!\cdots\!56\)\( T^{23} + \)\(17\!\cdots\!43\)\( T^{24} + \)\(99\!\cdots\!48\)\( T^{25} + \)\(55\!\cdots\!22\)\( T^{26} + \)\(28\!\cdots\!16\)\( T^{27} + \)\(13\!\cdots\!85\)\( T^{28} + \)\(60\!\cdots\!84\)\( T^{29} + \)\(25\!\cdots\!59\)\( T^{30} + \)\(92\!\cdots\!86\)\( T^{31} + \)\(32\!\cdots\!40\)\( T^{32} + \)\(88\!\cdots\!22\)\( T^{33} + \)\(23\!\cdots\!69\)\( T^{34} + \)\(39\!\cdots\!72\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 + 24 T + 837 T^{2} + 15102 T^{3} + 317832 T^{4} + 4681662 T^{5} + 75164511 T^{6} + 943373316 T^{7} + 12584331717 T^{8} + 138130791328 T^{9} + 1600658860650 T^{10} + 15664056868428 T^{11} + 162584371964767 T^{12} + 1445198876500440 T^{13} + 13812871091256801 T^{14} + 114072425968773210 T^{15} + 1032532776505226475 T^{16} + 8130162320673257946 T^{17} + 71245654785415467330 T^{18} + \)\(54\!\cdots\!82\)\( T^{19} + \)\(46\!\cdots\!75\)\( T^{20} + \)\(34\!\cdots\!30\)\( T^{21} + \)\(27\!\cdots\!21\)\( T^{22} + \)\(19\!\cdots\!80\)\( T^{23} + \)\(14\!\cdots\!23\)\( T^{24} + \)\(94\!\cdots\!44\)\( T^{25} + \)\(64\!\cdots\!50\)\( T^{26} + \)\(37\!\cdots\!16\)\( T^{27} + \)\(22\!\cdots\!33\)\( T^{28} + \)\(11\!\cdots\!28\)\( T^{29} + \)\(61\!\cdots\!71\)\( T^{30} + \)\(25\!\cdots\!94\)\( T^{31} + \)\(11\!\cdots\!28\)\( T^{32} + \)\(37\!\cdots\!86\)\( T^{33} + \)\(13\!\cdots\!97\)\( T^{34} + \)\(26\!\cdots\!48\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 - 36 T + 1449 T^{2} - 35854 T^{3} + 872760 T^{4} - 16817478 T^{5} + 310884819 T^{6} - 4962250248 T^{7} + 75651625965 T^{8} - 1036805623728 T^{9} + 13585165769442 T^{10} - 163545276312276 T^{11} + 1886618326554247 T^{12} - 20252962974475908 T^{13} + 208799251244206317 T^{14} - 2018506671687478522 T^{15} + 18771031625112186027 T^{16} - \)\(16\!\cdots\!38\)\( T^{17} + \)\(13\!\cdots\!38\)\( T^{18} - \)\(11\!\cdots\!46\)\( T^{19} + \)\(84\!\cdots\!03\)\( T^{20} - \)\(60\!\cdots\!86\)\( T^{21} + \)\(42\!\cdots\!57\)\( T^{22} - \)\(27\!\cdots\!56\)\( T^{23} + \)\(17\!\cdots\!43\)\( T^{24} - \)\(99\!\cdots\!48\)\( T^{25} + \)\(55\!\cdots\!22\)\( T^{26} - \)\(28\!\cdots\!16\)\( T^{27} + \)\(13\!\cdots\!85\)\( T^{28} - \)\(60\!\cdots\!84\)\( T^{29} + \)\(25\!\cdots\!59\)\( T^{30} - \)\(92\!\cdots\!86\)\( T^{31} + \)\(32\!\cdots\!40\)\( T^{32} - \)\(88\!\cdots\!22\)\( T^{33} + \)\(23\!\cdots\!69\)\( T^{34} - \)\(39\!\cdots\!72\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 - 24 T + 837 T^{2} - 15102 T^{3} + 317832 T^{4} - 4681662 T^{5} + 75164511 T^{6} - 943373316 T^{7} + 12584331717 T^{8} - 138130791328 T^{9} + 1600658860650 T^{10} - 15664056868428 T^{11} + 162584371964767 T^{12} - 1445198876500440 T^{13} + 13812871091256801 T^{14} - 114072425968773210 T^{15} + 1032532776505226475 T^{16} - 8130162320673257946 T^{17} + 71245654785415467330 T^{18} - \)\(54\!\cdots\!82\)\( T^{19} + \)\(46\!\cdots\!75\)\( T^{20} - \)\(34\!\cdots\!30\)\( T^{21} + \)\(27\!\cdots\!21\)\( T^{22} - \)\(19\!\cdots\!80\)\( T^{23} + \)\(14\!\cdots\!23\)\( T^{24} - \)\(94\!\cdots\!44\)\( T^{25} + \)\(64\!\cdots\!50\)\( T^{26} - \)\(37\!\cdots\!16\)\( T^{27} + \)\(22\!\cdots\!33\)\( T^{28} - \)\(11\!\cdots\!28\)\( T^{29} + \)\(61\!\cdots\!71\)\( T^{30} - \)\(25\!\cdots\!94\)\( T^{31} + \)\(11\!\cdots\!28\)\( T^{32} - \)\(37\!\cdots\!86\)\( T^{33} + \)\(13\!\cdots\!97\)\( T^{34} - \)\(26\!\cdots\!48\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 + 52 T + 1943 T^{2} + 53736 T^{3} + 1255461 T^{4} + 25226224 T^{5} + 453420860 T^{6} + 7374189080 T^{7} + 110456937130 T^{8} + 1535545021196 T^{9} + 20008553485437 T^{10} + 245662990682104 T^{11} + 2859564177747813 T^{12} + 31669938987582212 T^{13} + 335036957159626044 T^{14} + 3393300660461557276 T^{15} + 32984526934019525388 T^{16} + \)\(30\!\cdots\!00\)\( T^{17} + \)\(27\!\cdots\!83\)\( T^{18} + \)\(23\!\cdots\!08\)\( T^{19} + \)\(19\!\cdots\!37\)\( T^{20} + \)\(16\!\cdots\!36\)\( T^{21} + \)\(12\!\cdots\!87\)\( T^{22} + \)\(92\!\cdots\!00\)\( T^{23} + \)\(66\!\cdots\!48\)\( T^{24} + \)\(45\!\cdots\!32\)\( T^{25} + \)\(30\!\cdots\!36\)\( T^{26} + \)\(19\!\cdots\!76\)\( T^{27} + \)\(11\!\cdots\!33\)\( T^{28} + \)\(66\!\cdots\!88\)\( T^{29} + \)\(36\!\cdots\!13\)\( T^{30} + \)\(18\!\cdots\!68\)\( T^{31} + \)\(90\!\cdots\!30\)\( T^{32} + \)\(40\!\cdots\!60\)\( T^{33} + \)\(16\!\cdots\!40\)\( T^{34} + \)\(62\!\cdots\!32\)\( T^{35} + \)\(20\!\cdots\!41\)\( T^{36} + \)\(59\!\cdots\!72\)\( T^{37} + \)\(14\!\cdots\!87\)\( T^{38} + \)\(25\!\cdots\!56\)\( T^{39} + \)\(33\!\cdots\!01\)\( T^{40} \))(\( 1 - 52 T + 1943 T^{2} - 53736 T^{3} + 1255461 T^{4} - 25226224 T^{5} + 453420860 T^{6} - 7374189080 T^{7} + 110456937130 T^{8} - 1535545021196 T^{9} + 20008553485437 T^{10} - 245662990682104 T^{11} + 2859564177747813 T^{12} - 31669938987582212 T^{13} + 335036957159626044 T^{14} - 3393300660461557276 T^{15} + 32984526934019525388 T^{16} - \)\(30\!\cdots\!00\)\( T^{17} + \)\(27\!\cdots\!83\)\( T^{18} - \)\(23\!\cdots\!08\)\( T^{19} + \)\(19\!\cdots\!37\)\( T^{20} - \)\(16\!\cdots\!36\)\( T^{21} + \)\(12\!\cdots\!87\)\( T^{22} - \)\(92\!\cdots\!00\)\( T^{23} + \)\(66\!\cdots\!48\)\( T^{24} - \)\(45\!\cdots\!32\)\( T^{25} + \)\(30\!\cdots\!36\)\( T^{26} - \)\(19\!\cdots\!76\)\( T^{27} + \)\(11\!\cdots\!33\)\( T^{28} - \)\(66\!\cdots\!88\)\( T^{29} + \)\(36\!\cdots\!13\)\( T^{30} - \)\(18\!\cdots\!68\)\( T^{31} + \)\(90\!\cdots\!30\)\( T^{32} - \)\(40\!\cdots\!60\)\( T^{33} + \)\(16\!\cdots\!40\)\( T^{34} - \)\(62\!\cdots\!32\)\( T^{35} + \)\(20\!\cdots\!41\)\( T^{36} - \)\(59\!\cdots\!72\)\( T^{37} + \)\(14\!\cdots\!87\)\( T^{38} - \)\(25\!\cdots\!56\)\( T^{39} + \)\(33\!\cdots\!01\)\( T^{40} \))
$71$ (\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 14 T + 186 T^{2} + 994 T^{3} + 5041 T^{4} \))(\( 1 - 14 T + 111 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 + 14 T + 111 T^{2} + 994 T^{3} + 5041 T^{4} \))(\( 1 - 14 T + 186 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 - 9 T + 132 T^{2} - 765 T^{3} + 9372 T^{4} - 45369 T^{5} + 357911 T^{6} \))(\( 1 - 26 T + 369 T^{2} - 3520 T^{3} + 26199 T^{4} - 131066 T^{5} + 357911 T^{6} \))(\( 1 - 10 T + 201 T^{2} - 1296 T^{3} + 14271 T^{4} - 50410 T^{5} + 357911 T^{6} \))(\( 1 + 2 T + 121 T^{2} + 552 T^{3} + 8591 T^{4} + 10082 T^{5} + 357911 T^{6} \))(\( 1 + 10 T + 201 T^{2} + 1296 T^{3} + 14271 T^{4} + 50410 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 132 T^{2} + 765 T^{3} + 9372 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 + 14 T + 128 T^{2} + 278 T^{3} + 1138 T^{4} + 19738 T^{5} + 645248 T^{6} + 5010754 T^{7} + 25411681 T^{8} \))(\( 1 - 5 T + 156 T^{2} - 43 T^{3} + 10141 T^{4} - 3053 T^{5} + 786396 T^{6} - 1789555 T^{7} + 25411681 T^{8} \))(\( 1 + 13 T + 236 T^{2} + 2287 T^{3} + 24871 T^{4} + 162377 T^{5} + 1189676 T^{6} + 4652843 T^{7} + 25411681 T^{8} \))(\( 1 + 5 T + 156 T^{2} + 43 T^{3} + 10141 T^{4} + 3053 T^{5} + 786396 T^{6} + 1789555 T^{7} + 25411681 T^{8} \))(\( 1 - 13 T + 236 T^{2} - 2287 T^{3} + 24871 T^{4} - 162377 T^{5} + 1189676 T^{6} - 4652843 T^{7} + 25411681 T^{8} \))(\( 1 - 14 T + 128 T^{2} - 278 T^{3} + 1138 T^{4} - 19738 T^{5} + 645248 T^{6} - 5010754 T^{7} + 25411681 T^{8} \))(\( 1 - 6 T + 263 T^{2} - 1792 T^{3} + 31714 T^{4} - 192276 T^{5} + 2251694 T^{6} - 9033472 T^{7} + 94130593 T^{8} - 152470086 T^{9} + 1804229351 T^{10} \))(\( 1 + 10 T + 271 T^{2} + 1944 T^{3} + 32282 T^{4} + 179116 T^{5} + 2292022 T^{6} + 9799704 T^{7} + 96993881 T^{8} + 254116810 T^{9} + 1804229351 T^{10} \))(\( 1 + 14 T + 321 T^{2} + 3498 T^{3} + 47246 T^{4} + 430682 T^{5} + 4246996 T^{6} + 30578422 T^{7} + 238167086 T^{8} + 1251972678 T^{9} + 8157149601 T^{10} + 25259210914 T^{11} + 128100283921 T^{12} \))(\( 1 - 32 T + 754 T^{2} - 12008 T^{3} + 161059 T^{4} - 1715400 T^{5} + 15965491 T^{6} - 121793400 T^{7} + 811898419 T^{8} - 4297795288 T^{9} + 19160407474 T^{10} - 57735339232 T^{11} + 128100283921 T^{12} \))(\( 1 + 19 T + 402 T^{2} + 5069 T^{3} + 65382 T^{4} + 635974 T^{5} + 6054298 T^{6} + 45154154 T^{7} + 329590662 T^{8} + 1814250859 T^{9} + 10215495762 T^{10} + 34280357669 T^{11} + 128100283921 T^{12} \))(\( 1 + 5 T + 118 T^{2} + 1403 T^{3} + 10312 T^{4} + 93586 T^{5} + 1041334 T^{6} + 6644606 T^{7} + 51982792 T^{8} + 502149133 T^{9} + 2998578358 T^{10} + 9021146755 T^{11} + 128100283921 T^{12} \))(\( 1 - 19 T + 402 T^{2} - 5069 T^{3} + 65382 T^{4} - 635974 T^{5} + 6054298 T^{6} - 45154154 T^{7} + 329590662 T^{8} - 1814250859 T^{9} + 10215495762 T^{10} - 34280357669 T^{11} + 128100283921 T^{12} \))(\( 1 - 5 T + 118 T^{2} - 1403 T^{3} + 10312 T^{4} - 93586 T^{5} + 1041334 T^{6} - 6644606 T^{7} + 51982792 T^{8} - 502149133 T^{9} + 2998578358 T^{10} - 9021146755 T^{11} + 128100283921 T^{12} \))(\( 1 + 32 T + 754 T^{2} + 12008 T^{3} + 161059 T^{4} + 1715400 T^{5} + 15965491 T^{6} + 121793400 T^{7} + 811898419 T^{8} + 4297795288 T^{9} + 19160407474 T^{10} + 57735339232 T^{11} + 128100283921 T^{12} \))(\( 1 - 14 T + 321 T^{2} - 3498 T^{3} + 47246 T^{4} - 430682 T^{5} + 4246996 T^{6} - 30578422 T^{7} + 238167086 T^{8} - 1251972678 T^{9} + 8157149601 T^{10} - 25259210914 T^{11} + 128100283921 T^{12} \))(\( 1 - 9 T + 381 T^{2} - 2255 T^{3} + 64671 T^{4} - 273771 T^{5} + 7501144 T^{6} - 26601309 T^{7} + 688989813 T^{8} - 2168848665 T^{9} + 48918276723 T^{10} - 134097198669 T^{11} + 2684741950184 T^{12} - 6956981319051 T^{13} + 116681316358521 T^{14} - 288866140241855 T^{15} + 3465240780346971 T^{16} - 5811781781211849 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 9 T + 381 T^{2} + 2255 T^{3} + 64671 T^{4} + 273771 T^{5} + 7501144 T^{6} + 26601309 T^{7} + 688989813 T^{8} + 2168848665 T^{9} + 48918276723 T^{10} + 134097198669 T^{11} + 2684741950184 T^{12} + 6956981319051 T^{13} + 116681316358521 T^{14} + 288866140241855 T^{15} + 3465240780346971 T^{16} + 5811781781211849 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 50 T + 1634 T^{2} + 38226 T^{3} + 730640 T^{4} + 11665378 T^{5} + 163097556 T^{6} + 2017805956 T^{7} + 22715540793 T^{8} + 234347343366 T^{9} + 2263069874788 T^{10} + 20533270862908 T^{11} + 177593100945169 T^{12} + 1457862231266468 T^{13} + 11408135238806308 T^{14} + 83875492011468426 T^{15} + 577240076374203033 T^{16} + 3640584730437814556 T^{17} + 20892843230421197076 T^{18} + \)\(10\!\cdots\!98\)\( T^{19} + \)\(47\!\cdots\!40\)\( T^{20} + \)\(17\!\cdots\!06\)\( T^{21} + \)\(53\!\cdots\!34\)\( T^{22} + \)\(11\!\cdots\!50\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 44 T + 1308 T^{2} + 28110 T^{3} + 501400 T^{4} + 7568006 T^{5} + 101534213 T^{6} + 1222264230 T^{7} + 13564946501 T^{8} + 139398720982 T^{9} + 1349168159023 T^{10} + 12291398510004 T^{11} + 106485098179780 T^{12} + 872689294210284 T^{13} + 6801156689634943 T^{14} + 49892335625388602 T^{15} + 344708093265478181 T^{16} + 2205244998443414730 T^{17} + 13006561512995289173 T^{18} + 68831923929424038346 T^{19} + \)\(32\!\cdots\!00\)\( T^{20} + \)\(12\!\cdots\!10\)\( T^{21} + \)\(42\!\cdots\!08\)\( T^{22} + \)\(10\!\cdots\!24\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T + 324 T^{2} - 888 T^{3} + 58002 T^{4} - 82360 T^{5} + 7808617 T^{6} - 2396752 T^{7} + 823134501 T^{8} + 330459402 T^{9} + 73429528419 T^{10} + 53132702164 T^{11} + 5584417160848 T^{12} + 3772421853644 T^{13} + 370158252760179 T^{14} + 118275055029222 T^{15} + 20917231359506181 T^{16} - 4324290305467952 T^{17} + 1000286054730347257 T^{18} - 749074096245082760 T^{19} + 37454996319316629522 T^{20} - 40713468637982739528 T^{21} + \)\(10\!\cdots\!24\)\( T^{22} - \)\(13\!\cdots\!26\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 354 T^{2} + 1579 T^{3} + 63105 T^{4} + 479736 T^{5} + 8748488 T^{6} + 73705158 T^{7} + 1001251305 T^{8} + 8152040764 T^{9} + 93260916225 T^{10} + 714713867742 T^{11} + 7223596979899 T^{12} + 50744684609682 T^{13} + 470128278690225 T^{14} + 2917705061884004 T^{15} + 25443478763493705 T^{16} + 132981009383692458 T^{17} + 1120683796679461448 T^{18} + 4363256564305864776 T^{19} + 40750276589263747905 T^{20} + 72394782634431019949 T^{21} + \)\(11\!\cdots\!54\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 354 T^{2} - 1579 T^{3} + 63105 T^{4} - 479736 T^{5} + 8748488 T^{6} - 73705158 T^{7} + 1001251305 T^{8} - 8152040764 T^{9} + 93260916225 T^{10} - 714713867742 T^{11} + 7223596979899 T^{12} - 50744684609682 T^{13} + 470128278690225 T^{14} - 2917705061884004 T^{15} + 25443478763493705 T^{16} - 132981009383692458 T^{17} + 1120683796679461448 T^{18} - 4363256564305864776 T^{19} + 40750276589263747905 T^{20} - 72394782634431019949 T^{21} + \)\(11\!\cdots\!54\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 6 T + 324 T^{2} + 888 T^{3} + 58002 T^{4} + 82360 T^{5} + 7808617 T^{6} + 2396752 T^{7} + 823134501 T^{8} - 330459402 T^{9} + 73429528419 T^{10} - 53132702164 T^{11} + 5584417160848 T^{12} - 3772421853644 T^{13} + 370158252760179 T^{14} - 118275055029222 T^{15} + 20917231359506181 T^{16} + 4324290305467952 T^{17} + 1000286054730347257 T^{18} + 749074096245082760 T^{19} + 37454996319316629522 T^{20} + 40713468637982739528 T^{21} + \)\(10\!\cdots\!24\)\( T^{22} + \)\(13\!\cdots\!26\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 44 T + 1308 T^{2} - 28110 T^{3} + 501400 T^{4} - 7568006 T^{5} + 101534213 T^{6} - 1222264230 T^{7} + 13564946501 T^{8} - 139398720982 T^{9} + 1349168159023 T^{10} - 12291398510004 T^{11} + 106485098179780 T^{12} - 872689294210284 T^{13} + 6801156689634943 T^{14} - 49892335625388602 T^{15} + 344708093265478181 T^{16} - 2205244998443414730 T^{17} + 13006561512995289173 T^{18} - 68831923929424038346 T^{19} + \)\(32\!\cdots\!00\)\( T^{20} - \)\(12\!\cdots\!10\)\( T^{21} + \)\(42\!\cdots\!08\)\( T^{22} - \)\(10\!\cdots\!24\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 50 T + 1634 T^{2} - 38226 T^{3} + 730640 T^{4} - 11665378 T^{5} + 163097556 T^{6} - 2017805956 T^{7} + 22715540793 T^{8} - 234347343366 T^{9} + 2263069874788 T^{10} - 20533270862908 T^{11} + 177593100945169 T^{12} - 1457862231266468 T^{13} + 11408135238806308 T^{14} - 83875492011468426 T^{15} + 577240076374203033 T^{16} - 3640584730437814556 T^{17} + 20892843230421197076 T^{18} - \)\(10\!\cdots\!98\)\( T^{19} + \)\(47\!\cdots\!40\)\( T^{20} - \)\(17\!\cdots\!06\)\( T^{21} + \)\(53\!\cdots\!34\)\( T^{22} - \)\(11\!\cdots\!50\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 687 T^{2} - 809 T^{3} + 225813 T^{4} - 545775 T^{5} + 47366724 T^{6} - 174181188 T^{7} + 7185470613 T^{8} - 34789719103 T^{9} + 855140128698 T^{10} - 4877667366564 T^{11} + 85321534466391 T^{12} - 515968649910033 T^{13} + 7528112154734820 T^{14} - 44145603658352441 T^{15} + 605943644814730446 T^{16} - 3320182380551109570 T^{17} + 44864640139075664197 T^{18} - \)\(23\!\cdots\!70\)\( T^{19} + \)\(30\!\cdots\!86\)\( T^{20} - \)\(15\!\cdots\!51\)\( T^{21} + \)\(19\!\cdots\!20\)\( T^{22} - \)\(93\!\cdots\!83\)\( T^{23} + \)\(10\!\cdots\!11\)\( T^{24} - \)\(44\!\cdots\!24\)\( T^{25} + \)\(55\!\cdots\!78\)\( T^{26} - \)\(15\!\cdots\!93\)\( T^{27} + \)\(23\!\cdots\!13\)\( T^{28} - \)\(40\!\cdots\!48\)\( T^{29} + \)\(77\!\cdots\!84\)\( T^{30} - \)\(63\!\cdots\!25\)\( T^{31} + \)\(18\!\cdots\!53\)\( T^{32} - \)\(47\!\cdots\!59\)\( T^{33} + \)\(28\!\cdots\!27\)\( T^{34} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 - 24 T + 1149 T^{2} - 23461 T^{3} + 628425 T^{4} - 11058849 T^{5} + 217547614 T^{6} - 3342914544 T^{7} + 53490716295 T^{8} - 726362658223 T^{9} + 9936267681930 T^{10} - 120435874579056 T^{11} + 1447351688855425 T^{12} - 15780349199275083 T^{13} + 169262520049442028 T^{14} - 1668853721184048215 T^{15} + 16126375035832481988 T^{16} - \)\(14\!\cdots\!18\)\( T^{17} + \)\(12\!\cdots\!35\)\( T^{18} - \)\(10\!\cdots\!78\)\( T^{19} + \)\(81\!\cdots\!08\)\( T^{20} - \)\(59\!\cdots\!65\)\( T^{21} + \)\(43\!\cdots\!68\)\( T^{22} - \)\(28\!\cdots\!33\)\( T^{23} + \)\(18\!\cdots\!25\)\( T^{24} - \)\(10\!\cdots\!96\)\( T^{25} + \)\(64\!\cdots\!30\)\( T^{26} - \)\(33\!\cdots\!13\)\( T^{27} + \)\(17\!\cdots\!95\)\( T^{28} - \)\(77\!\cdots\!24\)\( T^{29} + \)\(35\!\cdots\!74\)\( T^{30} - \)\(12\!\cdots\!39\)\( T^{31} + \)\(51\!\cdots\!25\)\( T^{32} - \)\(13\!\cdots\!11\)\( T^{33} + \)\(47\!\cdots\!29\)\( T^{34} - \)\(71\!\cdots\!84\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 687 T^{2} + 809 T^{3} + 225813 T^{4} + 545775 T^{5} + 47366724 T^{6} + 174181188 T^{7} + 7185470613 T^{8} + 34789719103 T^{9} + 855140128698 T^{10} + 4877667366564 T^{11} + 85321534466391 T^{12} + 515968649910033 T^{13} + 7528112154734820 T^{14} + 44145603658352441 T^{15} + 605943644814730446 T^{16} + 3320182380551109570 T^{17} + 44864640139075664197 T^{18} + \)\(23\!\cdots\!70\)\( T^{19} + \)\(30\!\cdots\!86\)\( T^{20} + \)\(15\!\cdots\!51\)\( T^{21} + \)\(19\!\cdots\!20\)\( T^{22} + \)\(93\!\cdots\!83\)\( T^{23} + \)\(10\!\cdots\!11\)\( T^{24} + \)\(44\!\cdots\!24\)\( T^{25} + \)\(55\!\cdots\!78\)\( T^{26} + \)\(15\!\cdots\!93\)\( T^{27} + \)\(23\!\cdots\!13\)\( T^{28} + \)\(40\!\cdots\!48\)\( T^{29} + \)\(77\!\cdots\!84\)\( T^{30} + \)\(63\!\cdots\!25\)\( T^{31} + \)\(18\!\cdots\!53\)\( T^{32} + \)\(47\!\cdots\!59\)\( T^{33} + \)\(28\!\cdots\!27\)\( T^{34} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 24 T + 1149 T^{2} + 23461 T^{3} + 628425 T^{4} + 11058849 T^{5} + 217547614 T^{6} + 3342914544 T^{7} + 53490716295 T^{8} + 726362658223 T^{9} + 9936267681930 T^{10} + 120435874579056 T^{11} + 1447351688855425 T^{12} + 15780349199275083 T^{13} + 169262520049442028 T^{14} + 1668853721184048215 T^{15} + 16126375035832481988 T^{16} + \)\(14\!\cdots\!18\)\( T^{17} + \)\(12\!\cdots\!35\)\( T^{18} + \)\(10\!\cdots\!78\)\( T^{19} + \)\(81\!\cdots\!08\)\( T^{20} + \)\(59\!\cdots\!65\)\( T^{21} + \)\(43\!\cdots\!68\)\( T^{22} + \)\(28\!\cdots\!33\)\( T^{23} + \)\(18\!\cdots\!25\)\( T^{24} + \)\(10\!\cdots\!96\)\( T^{25} + \)\(64\!\cdots\!30\)\( T^{26} + \)\(33\!\cdots\!13\)\( T^{27} + \)\(17\!\cdots\!95\)\( T^{28} + \)\(77\!\cdots\!24\)\( T^{29} + \)\(35\!\cdots\!74\)\( T^{30} + \)\(12\!\cdots\!39\)\( T^{31} + \)\(51\!\cdots\!25\)\( T^{32} + \)\(13\!\cdots\!11\)\( T^{33} + \)\(47\!\cdots\!29\)\( T^{34} + \)\(71\!\cdots\!84\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 58 T + 2338 T^{2} + 68270 T^{3} + 1653144 T^{4} + 33774406 T^{5} + 607630044 T^{6} + 9728165596 T^{7} + 141544765919 T^{8} + 1886804934054 T^{9} + 23363642523228 T^{10} + 270802491209268 T^{11} + 2971190091244249 T^{12} + 31093367415205028 T^{13} + 313171664073488696 T^{14} + 3053298791400641758 T^{15} + 28958037815241196716 T^{16} + \)\(26\!\cdots\!58\)\( T^{17} + \)\(24\!\cdots\!22\)\( T^{18} + \)\(21\!\cdots\!40\)\( T^{19} + \)\(18\!\cdots\!14\)\( T^{20} + \)\(15\!\cdots\!40\)\( T^{21} + \)\(12\!\cdots\!02\)\( T^{22} + \)\(95\!\cdots\!38\)\( T^{23} + \)\(73\!\cdots\!96\)\( T^{24} + \)\(55\!\cdots\!58\)\( T^{25} + \)\(40\!\cdots\!16\)\( T^{26} + \)\(28\!\cdots\!48\)\( T^{27} + \)\(19\!\cdots\!89\)\( T^{28} + \)\(12\!\cdots\!08\)\( T^{29} + \)\(76\!\cdots\!28\)\( T^{30} + \)\(43\!\cdots\!34\)\( T^{31} + \)\(23\!\cdots\!79\)\( T^{32} + \)\(11\!\cdots\!56\)\( T^{33} + \)\(50\!\cdots\!64\)\( T^{34} + \)\(19\!\cdots\!06\)\( T^{35} + \)\(68\!\cdots\!24\)\( T^{36} + \)\(20\!\cdots\!70\)\( T^{37} + \)\(49\!\cdots\!18\)\( T^{38} + \)\(86\!\cdots\!98\)\( T^{39} + \)\(10\!\cdots\!01\)\( T^{40} \))(\( 1 - 58 T + 2338 T^{2} - 68270 T^{3} + 1653144 T^{4} - 33774406 T^{5} + 607630044 T^{6} - 9728165596 T^{7} + 141544765919 T^{8} - 1886804934054 T^{9} + 23363642523228 T^{10} - 270802491209268 T^{11} + 2971190091244249 T^{12} - 31093367415205028 T^{13} + 313171664073488696 T^{14} - 3053298791400641758 T^{15} + 28958037815241196716 T^{16} - \)\(26\!\cdots\!58\)\( T^{17} + \)\(24\!\cdots\!22\)\( T^{18} - \)\(21\!\cdots\!40\)\( T^{19} + \)\(18\!\cdots\!14\)\( T^{20} - \)\(15\!\cdots\!40\)\( T^{21} + \)\(12\!\cdots\!02\)\( T^{22} - \)\(95\!\cdots\!38\)\( T^{23} + \)\(73\!\cdots\!96\)\( T^{24} - \)\(55\!\cdots\!58\)\( T^{25} + \)\(40\!\cdots\!16\)\( T^{26} - \)\(28\!\cdots\!48\)\( T^{27} + \)\(19\!\cdots\!89\)\( T^{28} - \)\(12\!\cdots\!08\)\( T^{29} + \)\(76\!\cdots\!28\)\( T^{30} - \)\(43\!\cdots\!34\)\( T^{31} + \)\(23\!\cdots\!79\)\( T^{32} - \)\(11\!\cdots\!56\)\( T^{33} + \)\(50\!\cdots\!64\)\( T^{34} - \)\(19\!\cdots\!06\)\( T^{35} + \)\(68\!\cdots\!24\)\( T^{36} - \)\(20\!\cdots\!70\)\( T^{37} + \)\(49\!\cdots\!18\)\( T^{38} - \)\(86\!\cdots\!98\)\( T^{39} + \)\(10\!\cdots\!01\)\( T^{40} \))
$73$ (\( 1 - 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 7 T + 97 T^{2} + 511 T^{3} + 5329 T^{4} \))(\( 1 + 20 T + 241 T^{2} + 1460 T^{3} + 5329 T^{4} \))(\( 1 + 20 T + 241 T^{2} + 1460 T^{3} + 5329 T^{4} \))(\( 1 + 7 T + 97 T^{2} + 511 T^{3} + 5329 T^{4} \))(\( 1 - 24 T + 399 T^{2} - 3928 T^{3} + 29127 T^{4} - 127896 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 199 T^{2} - 788 T^{3} + 14527 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 + 26 T + 407 T^{2} + 4044 T^{3} + 29711 T^{4} + 138554 T^{5} + 389017 T^{6} \))(\( 1 + 10 T + 231 T^{2} + 1420 T^{3} + 16863 T^{4} + 53290 T^{5} + 389017 T^{6} \))(\( 1 + 26 T + 407 T^{2} + 4044 T^{3} + 29711 T^{4} + 138554 T^{5} + 389017 T^{6} \))(\( 1 - 24 T + 399 T^{2} - 3928 T^{3} + 29127 T^{4} - 127896 T^{5} + 389017 T^{6} \))(\( 1 + 172 T^{2} + 544 T^{3} + 14150 T^{4} + 39712 T^{5} + 916588 T^{6} + 28398241 T^{8} \))(\( 1 - 24 T + 414 T^{2} - 4669 T^{3} + 45917 T^{4} - 340837 T^{5} + 2206206 T^{6} - 9336408 T^{7} + 28398241 T^{8} \))(\( 1 + 22 T + 372 T^{2} + 4403 T^{3} + 43541 T^{4} + 321419 T^{5} + 1982388 T^{6} + 8558374 T^{7} + 28398241 T^{8} \))(\( 1 - 24 T + 414 T^{2} - 4669 T^{3} + 45917 T^{4} - 340837 T^{5} + 2206206 T^{6} - 9336408 T^{7} + 28398241 T^{8} \))(\( 1 + 22 T + 372 T^{2} + 4403 T^{3} + 43541 T^{4} + 321419 T^{5} + 1982388 T^{6} + 8558374 T^{7} + 28398241 T^{8} \))(\( 1 + 172 T^{2} + 544 T^{3} + 14150 T^{4} + 39712 T^{5} + 916588 T^{6} + 28398241 T^{8} \))(\( 1 - 10 T + 149 T^{2} - 472 T^{3} + 4466 T^{4} + 26116 T^{5} + 326018 T^{6} - 2515288 T^{7} + 57963533 T^{8} - 283982410 T^{9} + 2073071593 T^{10} \))(\( 1 - 10 T + 245 T^{2} - 1176 T^{3} + 21778 T^{4} - 65148 T^{5} + 1589794 T^{6} - 6266904 T^{7} + 95309165 T^{8} - 283982410 T^{9} + 2073071593 T^{10} \))(\( 1 + 15 T + 117 T^{2} + 660 T^{3} + 6457 T^{4} - 9935 T^{5} - 408325 T^{6} - 725255 T^{7} + 34409353 T^{8} + 256751220 T^{9} + 3322594197 T^{10} + 31096073895 T^{11} + 151334226289 T^{12} \))(\( 1 + 28 T + 629 T^{2} + 9421 T^{3} + 123826 T^{4} + 1286914 T^{5} + 12139997 T^{6} + 93944722 T^{7} + 659868754 T^{8} + 3664929157 T^{9} + 17862493589 T^{10} + 58046004604 T^{11} + 151334226289 T^{12} \))(\( 1 + 24 T + 544 T^{2} + 7975 T^{3} + 104722 T^{4} + 1097325 T^{5} + 10269170 T^{6} + 80104725 T^{7} + 558063538 T^{8} + 3102410575 T^{9} + 15448643104 T^{10} + 49753718232 T^{11} + 151334226289 T^{12} \))(\( 1 - 26 T + 574 T^{2} - 8869 T^{3} + 115094 T^{4} - 1247237 T^{5} + 11464590 T^{6} - 91048301 T^{7} + 613335926 T^{8} - 3450191773 T^{9} + 16300590334 T^{10} - 53899861418 T^{11} + 151334226289 T^{12} \))(\( 1 + 24 T + 544 T^{2} + 7975 T^{3} + 104722 T^{4} + 1097325 T^{5} + 10269170 T^{6} + 80104725 T^{7} + 558063538 T^{8} + 3102410575 T^{9} + 15448643104 T^{10} + 49753718232 T^{11} + 151334226289 T^{12} \))(\( 1 - 26 T + 574 T^{2} - 8869 T^{3} + 115094 T^{4} - 1247237 T^{5} + 11464590 T^{6} - 91048301 T^{7} + 613335926 T^{8} - 3450191773 T^{9} + 16300590334 T^{10} - 53899861418 T^{11} + 151334226289 T^{12} \))(\( 1 + 28 T + 629 T^{2} + 9421 T^{3} + 123826 T^{4} + 1286914 T^{5} + 12139997 T^{6} + 93944722 T^{7} + 659868754 T^{8} + 3664929157 T^{9} + 17862493589 T^{10} + 58046004604 T^{11} + 151334226289 T^{12} \))(\( 1 + 15 T + 117 T^{2} + 660 T^{3} + 6457 T^{4} - 9935 T^{5} - 408325 T^{6} - 725255 T^{7} + 34409353 T^{8} + 256751220 T^{9} + 3322594197 T^{10} + 31096073895 T^{11} + 151334226289 T^{12} \))(\( 1 + 39 T + 1137 T^{2} + 23323 T^{3} + 407013 T^{4} + 5885511 T^{5} + 75613476 T^{6} + 845984865 T^{7} + 8558273961 T^{8} + 76708061743 T^{9} + 624753999153 T^{10} + 4508253345585 T^{11} + 29414927593092 T^{12} + 167138159786151 T^{13} + 843767088281709 T^{14} + 3529568159738347 T^{15} + 12560892116213289 T^{16} + 31451943583869159 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 39 T + 1137 T^{2} + 23323 T^{3} + 407013 T^{4} + 5885511 T^{5} + 75613476 T^{6} + 845984865 T^{7} + 8558273961 T^{8} + 76708061743 T^{9} + 624753999153 T^{10} + 4508253345585 T^{11} + 29414927593092 T^{12} + 167138159786151 T^{13} + 843767088281709 T^{14} + 3529568159738347 T^{15} + 12560892116213289 T^{16} + 31451943583869159 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 24 T + 874 T^{2} + 15634 T^{3} + 328841 T^{4} + 4723958 T^{5} + 73484087 T^{6} + 884420280 T^{7} + 11149974894 T^{8} + 115335301508 T^{9} + 1232357288030 T^{10} + 11108462887774 T^{11} + 102904883075271 T^{12} + 810917790807502 T^{13} + 6567231987911870 T^{14} + 44867392986737636 T^{15} + 316639674183761454 T^{16} + 1833466558741106040 T^{17} + 11120657450698563143 T^{18} + 52187446613476425926 T^{19} + \)\(26\!\cdots\!21\)\( T^{20} + \)\(92\!\cdots\!42\)\( T^{21} + \)\(37\!\cdots\!26\)\( T^{22} + \)\(75\!\cdots\!48\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T + 492 T^{2} - 451 T^{3} + 120891 T^{4} + 41222 T^{5} + 20396417 T^{6} + 19963380 T^{7} + 2611119848 T^{8} + 3285746521 T^{9} + 263313268807 T^{10} + 345276742283 T^{11} + 21354910766832 T^{12} + 25205202186659 T^{13} + 1403196409472503 T^{14} + 1278211254359857 T^{15} + 74151210723387368 T^{16} + 41385515978264340 T^{17} + 3086675985762806513 T^{18} + 455395861754216534 T^{19} + 97493766969167346171 T^{20} - 26551085605428828763 T^{21} + \)\(21\!\cdots\!08\)\( T^{22} - \)\(94\!\cdots\!31\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 35 T + 884 T^{2} - 16779 T^{3} + 280175 T^{4} - 4102778 T^{5} + 54911633 T^{6} - 671351232 T^{7} + 7637871312 T^{8} - 80971894227 T^{9} + 805789642143 T^{10} - 7530949798829 T^{11} + 66304990077720 T^{12} - 549759335314517 T^{13} + 4294053002980047 T^{14} - 31499443376504859 T^{15} + 216902110245162192 T^{16} - 1391759167984752576 T^{17} + 8310009494320519937 T^{18} - 45325023601383751466 T^{19} + \)\(22\!\cdots\!75\)\( T^{20} - \)\(98\!\cdots\!27\)\( T^{21} + \)\(37\!\cdots\!16\)\( T^{22} - \)\(10\!\cdots\!95\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 27 T + 816 T^{2} + 14548 T^{3} + 271911 T^{4} + 3824361 T^{5} + 55328247 T^{6} + 655431978 T^{7} + 7917117447 T^{8} + 81360965120 T^{9} + 848884088181 T^{10} + 7669436614782 T^{11} + 70230658481762 T^{12} + 559868872879086 T^{13} + 4523703305916549 T^{14} + 31650798568087040 T^{15} + 224832209285210727 T^{16} + 1358757414735600954 T^{17} + 8373057451671685383 T^{18} + 42249240047892322017 T^{19} + \)\(21\!\cdots\!91\)\( T^{20} + \)\(85\!\cdots\!24\)\( T^{21} + \)\(35\!\cdots\!84\)\( T^{22} + \)\(84\!\cdots\!79\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 27 T + 816 T^{2} + 14548 T^{3} + 271911 T^{4} + 3824361 T^{5} + 55328247 T^{6} + 655431978 T^{7} + 7917117447 T^{8} + 81360965120 T^{9} + 848884088181 T^{10} + 7669436614782 T^{11} + 70230658481762 T^{12} + 559868872879086 T^{13} + 4523703305916549 T^{14} + 31650798568087040 T^{15} + 224832209285210727 T^{16} + 1358757414735600954 T^{17} + 8373057451671685383 T^{18} + 42249240047892322017 T^{19} + \)\(21\!\cdots\!91\)\( T^{20} + \)\(85\!\cdots\!24\)\( T^{21} + \)\(35\!\cdots\!84\)\( T^{22} + \)\(84\!\cdots\!79\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 35 T + 884 T^{2} - 16779 T^{3} + 280175 T^{4} - 4102778 T^{5} + 54911633 T^{6} - 671351232 T^{7} + 7637871312 T^{8} - 80971894227 T^{9} + 805789642143 T^{10} - 7530949798829 T^{11} + 66304990077720 T^{12} - 549759335314517 T^{13} + 4294053002980047 T^{14} - 31499443376504859 T^{15} + 216902110245162192 T^{16} - 1391759167984752576 T^{17} + 8310009494320519937 T^{18} - 45325023601383751466 T^{19} + \)\(22\!\cdots\!75\)\( T^{20} - \)\(98\!\cdots\!27\)\( T^{21} + \)\(37\!\cdots\!16\)\( T^{22} - \)\(10\!\cdots\!95\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T + 492 T^{2} - 451 T^{3} + 120891 T^{4} + 41222 T^{5} + 20396417 T^{6} + 19963380 T^{7} + 2611119848 T^{8} + 3285746521 T^{9} + 263313268807 T^{10} + 345276742283 T^{11} + 21354910766832 T^{12} + 25205202186659 T^{13} + 1403196409472503 T^{14} + 1278211254359857 T^{15} + 74151210723387368 T^{16} + 41385515978264340 T^{17} + 3086675985762806513 T^{18} + 455395861754216534 T^{19} + 97493766969167346171 T^{20} - 26551085605428828763 T^{21} + \)\(21\!\cdots\!08\)\( T^{22} - \)\(94\!\cdots\!31\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 874 T^{2} + 15634 T^{3} + 328841 T^{4} + 4723958 T^{5} + 73484087 T^{6} + 884420280 T^{7} + 11149974894 T^{8} + 115335301508 T^{9} + 1232357288030 T^{10} + 11108462887774 T^{11} + 102904883075271 T^{12} + 810917790807502 T^{13} + 6567231987911870 T^{14} + 44867392986737636 T^{15} + 316639674183761454 T^{16} + 1833466558741106040 T^{17} + 11120657450698563143 T^{18} + 52187446613476425926 T^{19} + \)\(26\!\cdots\!21\)\( T^{20} + \)\(92\!\cdots\!42\)\( T^{21} + \)\(37\!\cdots\!26\)\( T^{22} + \)\(75\!\cdots\!48\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 21 T + 930 T^{2} - 15018 T^{3} + 386442 T^{4} - 5113746 T^{5} + 98860597 T^{6} - 1111109520 T^{7} + 17868251295 T^{8} - 174614606894 T^{9} + 2475686746062 T^{10} - 21428328600732 T^{11} + 278865950205709 T^{12} - 2176276275975528 T^{13} + 26757342206648811 T^{14} - 191915044462451262 T^{15} + 2266733677289374713 T^{16} - 15243392207370874575 T^{17} + \)\(17\!\cdots\!24\)\( T^{18} - \)\(11\!\cdots\!75\)\( T^{19} + \)\(12\!\cdots\!77\)\( T^{20} - \)\(74\!\cdots\!54\)\( T^{21} + \)\(75\!\cdots\!51\)\( T^{22} - \)\(45\!\cdots\!04\)\( T^{23} + \)\(42\!\cdots\!01\)\( T^{24} - \)\(23\!\cdots\!04\)\( T^{25} + \)\(19\!\cdots\!22\)\( T^{26} - \)\(10\!\cdots\!22\)\( T^{27} + \)\(76\!\cdots\!55\)\( T^{28} - \)\(34\!\cdots\!40\)\( T^{29} + \)\(22\!\cdots\!37\)\( T^{30} - \)\(85\!\cdots\!18\)\( T^{31} + \)\(47\!\cdots\!78\)\( T^{32} - \)\(13\!\cdots\!26\)\( T^{33} + \)\(60\!\cdots\!30\)\( T^{34} - \)\(99\!\cdots\!13\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - 9 T + 594 T^{2} - 4778 T^{3} + 188166 T^{4} - 1364274 T^{5} + 41428453 T^{6} - 274341756 T^{7} + 7059045489 T^{8} - 43036682800 T^{9} + 983597528886 T^{10} - 5557877779326 T^{11} + 115794009900719 T^{12} - 609514623252660 T^{13} + 11752114744049883 T^{14} - 57850501290440534 T^{15} + 1040863281721018857 T^{16} - 4803323290606790967 T^{17} + 80984976424788320112 T^{18} - \)\(35\!\cdots\!91\)\( T^{19} + \)\(55\!\cdots\!53\)\( T^{20} - \)\(22\!\cdots\!78\)\( T^{21} + \)\(33\!\cdots\!03\)\( T^{22} - \)\(12\!\cdots\!80\)\( T^{23} + \)\(17\!\cdots\!91\)\( T^{24} - \)\(61\!\cdots\!22\)\( T^{25} + \)\(79\!\cdots\!66\)\( T^{26} - \)\(25\!\cdots\!00\)\( T^{27} + \)\(30\!\cdots\!61\)\( T^{28} - \)\(86\!\cdots\!12\)\( T^{29} + \)\(94\!\cdots\!13\)\( T^{30} - \)\(22\!\cdots\!42\)\( T^{31} + \)\(22\!\cdots\!94\)\( T^{32} - \)\(42\!\cdots\!46\)\( T^{33} + \)\(38\!\cdots\!34\)\( T^{34} - \)\(42\!\cdots\!77\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - 21 T + 930 T^{2} - 15018 T^{3} + 386442 T^{4} - 5113746 T^{5} + 98860597 T^{6} - 1111109520 T^{7} + 17868251295 T^{8} - 174614606894 T^{9} + 2475686746062 T^{10} - 21428328600732 T^{11} + 278865950205709 T^{12} - 2176276275975528 T^{13} + 26757342206648811 T^{14} - 191915044462451262 T^{15} + 2266733677289374713 T^{16} - 15243392207370874575 T^{17} + \)\(17\!\cdots\!24\)\( T^{18} - \)\(11\!\cdots\!75\)\( T^{19} + \)\(12\!\cdots\!77\)\( T^{20} - \)\(74\!\cdots\!54\)\( T^{21} + \)\(75\!\cdots\!51\)\( T^{22} - \)\(45\!\cdots\!04\)\( T^{23} + \)\(42\!\cdots\!01\)\( T^{24} - \)\(23\!\cdots\!04\)\( T^{25} + \)\(19\!\cdots\!22\)\( T^{26} - \)\(10\!\cdots\!22\)\( T^{27} + \)\(76\!\cdots\!55\)\( T^{28} - \)\(34\!\cdots\!40\)\( T^{29} + \)\(22\!\cdots\!37\)\( T^{30} - \)\(85\!\cdots\!18\)\( T^{31} + \)\(47\!\cdots\!78\)\( T^{32} - \)\(13\!\cdots\!26\)\( T^{33} + \)\(60\!\cdots\!30\)\( T^{34} - \)\(99\!\cdots\!13\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - 9 T + 594 T^{2} - 4778 T^{3} + 188166 T^{4} - 1364274 T^{5} + 41428453 T^{6} - 274341756 T^{7} + 7059045489 T^{8} - 43036682800 T^{9} + 983597528886 T^{10} - 5557877779326 T^{11} + 115794009900719 T^{12} - 609514623252660 T^{13} + 11752114744049883 T^{14} - 57850501290440534 T^{15} + 1040863281721018857 T^{16} - 4803323290606790967 T^{17} + 80984976424788320112 T^{18} - \)\(35\!\cdots\!91\)\( T^{19} + \)\(55\!\cdots\!53\)\( T^{20} - \)\(22\!\cdots\!78\)\( T^{21} + \)\(33\!\cdots\!03\)\( T^{22} - \)\(12\!\cdots\!80\)\( T^{23} + \)\(17\!\cdots\!91\)\( T^{24} - \)\(61\!\cdots\!22\)\( T^{25} + \)\(79\!\cdots\!66\)\( T^{26} - \)\(25\!\cdots\!00\)\( T^{27} + \)\(30\!\cdots\!61\)\( T^{28} - \)\(86\!\cdots\!12\)\( T^{29} + \)\(94\!\cdots\!13\)\( T^{30} - \)\(22\!\cdots\!42\)\( T^{31} + \)\(22\!\cdots\!94\)\( T^{32} - \)\(42\!\cdots\!46\)\( T^{33} + \)\(38\!\cdots\!34\)\( T^{34} - \)\(42\!\cdots\!77\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - 68 T + 2854 T^{2} - 87282 T^{3} + 2167193 T^{4} - 45645846 T^{5} + 845896859 T^{6} - 14087556240 T^{7} + 214840274608 T^{8} - 3037499953388 T^{9} + 40251472030190 T^{10} - 503572517217930 T^{11} + 5985677851962869 T^{12} - 67878056761180158 T^{13} + 737119285652737108 T^{14} - 7683986170856531056 T^{15} + 77069539105811535499 T^{16} - \)\(74\!\cdots\!28\)\( T^{17} + \)\(69\!\cdots\!81\)\( T^{18} - \)\(62\!\cdots\!76\)\( T^{19} + \)\(54\!\cdots\!16\)\( T^{20} - \)\(45\!\cdots\!48\)\( T^{21} + \)\(37\!\cdots\!49\)\( T^{22} - \)\(28\!\cdots\!76\)\( T^{23} + \)\(21\!\cdots\!59\)\( T^{24} - \)\(15\!\cdots\!08\)\( T^{25} + \)\(11\!\cdots\!12\)\( T^{26} - \)\(74\!\cdots\!26\)\( T^{27} + \)\(48\!\cdots\!89\)\( T^{28} - \)\(29\!\cdots\!90\)\( T^{29} + \)\(17\!\cdots\!10\)\( T^{30} - \)\(95\!\cdots\!76\)\( T^{31} + \)\(49\!\cdots\!68\)\( T^{32} - \)\(23\!\cdots\!20\)\( T^{33} + \)\(10\!\cdots\!31\)\( T^{34} - \)\(40\!\cdots\!22\)\( T^{35} + \)\(14\!\cdots\!73\)\( T^{36} - \)\(41\!\cdots\!46\)\( T^{37} + \)\(98\!\cdots\!26\)\( T^{38} - \)\(17\!\cdots\!16\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 - 68 T + 2854 T^{2} - 87282 T^{3} + 2167193 T^{4} - 45645846 T^{5} + 845896859 T^{6} - 14087556240 T^{7} + 214840274608 T^{8} - 3037499953388 T^{9} + 40251472030190 T^{10} - 503572517217930 T^{11} + 5985677851962869 T^{12} - 67878056761180158 T^{13} + 737119285652737108 T^{14} - 7683986170856531056 T^{15} + 77069539105811535499 T^{16} - \)\(74\!\cdots\!28\)\( T^{17} + \)\(69\!\cdots\!81\)\( T^{18} - \)\(62\!\cdots\!76\)\( T^{19} + \)\(54\!\cdots\!16\)\( T^{20} - \)\(45\!\cdots\!48\)\( T^{21} + \)\(37\!\cdots\!49\)\( T^{22} - \)\(28\!\cdots\!76\)\( T^{23} + \)\(21\!\cdots\!59\)\( T^{24} - \)\(15\!\cdots\!08\)\( T^{25} + \)\(11\!\cdots\!12\)\( T^{26} - \)\(74\!\cdots\!26\)\( T^{27} + \)\(48\!\cdots\!89\)\( T^{28} - \)\(29\!\cdots\!90\)\( T^{29} + \)\(17\!\cdots\!10\)\( T^{30} - \)\(95\!\cdots\!76\)\( T^{31} + \)\(49\!\cdots\!68\)\( T^{32} - \)\(23\!\cdots\!20\)\( T^{33} + \)\(10\!\cdots\!31\)\( T^{34} - \)\(40\!\cdots\!22\)\( T^{35} + \)\(14\!\cdots\!73\)\( T^{36} - \)\(41\!\cdots\!46\)\( T^{37} + \)\(98\!\cdots\!26\)\( T^{38} - \)\(17\!\cdots\!16\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))
$79$ (\( 1 + 14 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 - 14 T + 202 T^{2} - 1106 T^{3} + 6241 T^{4} \))(\( 1 + 10 T + 178 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 178 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 + 14 T + 202 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - 6 T + 141 T^{2} - 956 T^{3} + 11139 T^{4} - 37446 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 157 T^{2} + 1192 T^{3} + 12403 T^{4} + 74892 T^{5} + 493039 T^{6} \))(\( 1 + 22 T + 361 T^{2} + 3676 T^{3} + 28519 T^{4} + 137302 T^{5} + 493039 T^{6} \))(\( 1 - 16 T + 173 T^{2} - 1248 T^{3} + 13667 T^{4} - 99856 T^{5} + 493039 T^{6} \))(\( 1 - 22 T + 361 T^{2} - 3676 T^{3} + 28519 T^{4} - 137302 T^{5} + 493039 T^{6} \))(\( 1 + 6 T + 141 T^{2} + 956 T^{3} + 11139 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 + 16 T + 228 T^{2} + 2000 T^{3} + 20678 T^{4} + 158000 T^{5} + 1422948 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 - 9 T + 113 T^{2} - 304 T^{3} + 7111 T^{4} - 24016 T^{5} + 705233 T^{6} - 4437351 T^{7} + 38950081 T^{8} \))(\( 1 - 15 T + 325 T^{2} - 3164 T^{3} + 38339 T^{4} - 249956 T^{5} + 2028325 T^{6} - 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 9 T + 113 T^{2} + 304 T^{3} + 7111 T^{4} + 24016 T^{5} + 705233 T^{6} + 4437351 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 325 T^{2} + 3164 T^{3} + 38339 T^{4} + 249956 T^{5} + 2028325 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 - 16 T + 228 T^{2} - 2000 T^{3} + 20678 T^{4} - 158000 T^{5} + 1422948 T^{6} - 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 203 T^{2} - 192 T^{3} + 17802 T^{4} - 30848 T^{5} + 1406358 T^{6} - 1198272 T^{7} + 100086917 T^{8} + 3077056399 T^{10} \))(\( 1 + 14 T + 323 T^{2} + 3912 T^{3} + 46370 T^{4} + 448212 T^{5} + 3663230 T^{6} + 24414792 T^{7} + 159251597 T^{8} + 545301134 T^{9} + 3077056399 T^{10} \))(\( 1 - 2 T + 432 T^{2} - 827 T^{3} + 80434 T^{4} - 133579 T^{5} + 8302406 T^{6} - 10552741 T^{7} + 501988594 T^{8} - 407743253 T^{9} + 16826434992 T^{10} - 6154112798 T^{11} + 243087455521 T^{12} \))(\( 1 - 26 T + 448 T^{2} - 5583 T^{3} + 67218 T^{4} - 699951 T^{5} + 6804422 T^{6} - 55296129 T^{7} + 419507538 T^{8} - 2752636737 T^{9} + 17449636288 T^{10} - 80003466374 T^{11} + 243087455521 T^{12} \))(\( 1 - 27 T + 523 T^{2} - 7722 T^{3} + 97918 T^{4} - 1062115 T^{5} + 10104208 T^{6} - 83907085 T^{7} + 611106238 T^{8} - 3807247158 T^{9} + 20370892363 T^{10} - 83080522773 T^{11} + 243087455521 T^{12} \))(\( 1 + 3 T + 111 T^{2} - 1002 T^{3} + 7250 T^{4} - 73009 T^{5} + 1278672 T^{6} - 5767711 T^{7} + 45247250 T^{8} - 494025078 T^{9} + 4323458991 T^{10} + 9231169197 T^{11} + 243087455521 T^{12} \))(\( 1 + 27 T + 523 T^{2} + 7722 T^{3} + 97918 T^{4} + 1062115 T^{5} + 10104208 T^{6} + 83907085 T^{7} + 611106238 T^{8} + 3807247158 T^{9} + 20370892363 T^{10} + 83080522773 T^{11} + 243087455521 T^{12} \))(\( 1 - 3 T + 111 T^{2} + 1002 T^{3} + 7250 T^{4} + 73009 T^{5} + 1278672 T^{6} + 5767711 T^{7} + 45247250 T^{8} + 494025078 T^{9} + 4323458991 T^{10} - 9231169197 T^{11} + 243087455521 T^{12} \))(\( 1 + 26 T + 448 T^{2} + 5583 T^{3} + 67218 T^{4} + 699951 T^{5} + 6804422 T^{6} + 55296129 T^{7} + 419507538 T^{8} + 2752636737 T^{9} + 17449636288 T^{10} + 80003466374 T^{11} + 243087455521 T^{12} \))(\( 1 + 2 T + 432 T^{2} + 827 T^{3} + 80434 T^{4} + 133579 T^{5} + 8302406 T^{6} + 10552741 T^{7} + 501988594 T^{8} + 407743253 T^{9} + 16826434992 T^{10} + 6154112798 T^{11} + 243087455521 T^{12} \))(\( 1 + 258 T^{2} - 89 T^{3} + 38511 T^{4} - 81390 T^{5} + 3993083 T^{6} - 14186535 T^{7} + 344425629 T^{8} - 1484612004 T^{9} + 27209624691 T^{10} - 88538164935 T^{11} + 1968745649237 T^{12} - 3170147092590 T^{13} + 118500518981889 T^{14} - 21634783541369 T^{15} + 4954608518429022 T^{16} + 119851595982618319 T^{18} \))(\( 1 + 258 T^{2} + 89 T^{3} + 38511 T^{4} + 81390 T^{5} + 3993083 T^{6} + 14186535 T^{7} + 344425629 T^{8} + 1484612004 T^{9} + 27209624691 T^{10} + 88538164935 T^{11} + 1968745649237 T^{12} + 3170147092590 T^{13} + 118500518981889 T^{14} + 21634783541369 T^{15} + 4954608518429022 T^{16} + 119851595982618319 T^{18} \))(\( 1 - 12 T + 208 T^{2} - 80 T^{3} + 10200 T^{4} + 55160 T^{5} + 2482373 T^{6} - 3851564 T^{7} + 262879358 T^{8} + 493578700 T^{9} + 20078148995 T^{10} + 34694038292 T^{11} + 1959601648370 T^{12} + 2740829025068 T^{13} + 125307727877795 T^{14} + 243353548669300 T^{15} + 10239172287327998 T^{16} - 11851479652358036 T^{17} + 603433736224031333 T^{18} + 1059287619676530440 T^{19} + 15474509861046922200 T^{20} - 9588127678609465520 T^{21} + \)\(19\!\cdots\!08\)\( T^{22} - \)\(89\!\cdots\!48\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 28 T + 715 T^{2} + 12547 T^{3} + 200872 T^{4} + 2690708 T^{5} + 34190222 T^{6} + 390155362 T^{7} + 4359570698 T^{8} + 45107327580 T^{9} + 459510078343 T^{10} + 4351095440023 T^{11} + 40160659039018 T^{12} + 343736539761817 T^{13} + 2867802398938663 T^{14} + 22239671682715620 T^{15} + 169805631812326538 T^{16} + 1200530053246261438 T^{17} + 8311214069678115662 T^{18} + 51672111540329910572 T^{19} + \)\(30\!\cdots\!92\)\( T^{20} + \)\(15\!\cdots\!93\)\( T^{21} + \)\(67\!\cdots\!15\)\( T^{22} + \)\(20\!\cdots\!12\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 8 T + 635 T^{2} - 4911 T^{3} + 201476 T^{4} - 1460692 T^{5} + 41810298 T^{6} - 279729906 T^{7} + 6287086478 T^{8} - 38367189324 T^{9} + 719604766395 T^{10} - 3955055814215 T^{11} + 64177448526058 T^{12} - 312449409322985 T^{13} + 4491053347071195 T^{14} - 18916520657115636 T^{15} + 244882527572104718 T^{16} - 860744697248968494 T^{17} + 10163558955394755258 T^{18} - 28050996224810562028 T^{19} + \)\(30\!\cdots\!36\)\( T^{20} - \)\(58\!\cdots\!09\)\( T^{21} + \)\(60\!\cdots\!35\)\( T^{22} - \)\(59\!\cdots\!32\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 42 T + 1431 T^{2} - 33723 T^{3} + 693762 T^{4} - 11841669 T^{5} + 182976451 T^{6} - 2495030658 T^{7} + 31434420927 T^{8} - 359582220608 T^{9} + 3844484649414 T^{10} - 37830064862562 T^{11} + 349768210875644 T^{12} - 2988575124142398 T^{13} + 23993428696992774 T^{14} - 177288058466347712 T^{15} + 1224373241294745087 T^{16} - 7677350051900080542 T^{17} + 44479279893852935971 T^{18} - \)\(22\!\cdots\!71\)\( T^{19} + \)\(10\!\cdots\!82\)\( T^{20} - \)\(40\!\cdots\!37\)\( T^{21} + \)\(13\!\cdots\!31\)\( T^{22} - \)\(31\!\cdots\!18\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 42 T + 1431 T^{2} + 33723 T^{3} + 693762 T^{4} + 11841669 T^{5} + 182976451 T^{6} + 2495030658 T^{7} + 31434420927 T^{8} + 359582220608 T^{9} + 3844484649414 T^{10} + 37830064862562 T^{11} + 349768210875644 T^{12} + 2988575124142398 T^{13} + 23993428696992774 T^{14} + 177288058466347712 T^{15} + 1224373241294745087 T^{16} + 7677350051900080542 T^{17} + 44479279893852935971 T^{18} + \)\(22\!\cdots\!71\)\( T^{19} + \)\(10\!\cdots\!82\)\( T^{20} + \)\(40\!\cdots\!37\)\( T^{21} + \)\(13\!\cdots\!31\)\( T^{22} + \)\(31\!\cdots\!18\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 8 T + 635 T^{2} + 4911 T^{3} + 201476 T^{4} + 1460692 T^{5} + 41810298 T^{6} + 279729906 T^{7} + 6287086478 T^{8} + 38367189324 T^{9} + 719604766395 T^{10} + 3955055814215 T^{11} + 64177448526058 T^{12} + 312449409322985 T^{13} + 4491053347071195 T^{14} + 18916520657115636 T^{15} + 244882527572104718 T^{16} + 860744697248968494 T^{17} + 10163558955394755258 T^{18} + 28050996224810562028 T^{19} + \)\(30\!\cdots\!36\)\( T^{20} + \)\(58\!\cdots\!09\)\( T^{21} + \)\(60\!\cdots\!35\)\( T^{22} + \)\(59\!\cdots\!32\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 28 T + 715 T^{2} - 12547 T^{3} + 200872 T^{4} - 2690708 T^{5} + 34190222 T^{6} - 390155362 T^{7} + 4359570698 T^{8} - 45107327580 T^{9} + 459510078343 T^{10} - 4351095440023 T^{11} + 40160659039018 T^{12} - 343736539761817 T^{13} + 2867802398938663 T^{14} - 22239671682715620 T^{15} + 169805631812326538 T^{16} - 1200530053246261438 T^{17} + 8311214069678115662 T^{18} - 51672111540329910572 T^{19} + \)\(30\!\cdots\!92\)\( T^{20} - \)\(15\!\cdots\!93\)\( T^{21} + \)\(67\!\cdots\!15\)\( T^{22} - \)\(20\!\cdots\!12\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 12 T + 208 T^{2} + 80 T^{3} + 10200 T^{4} - 55160 T^{5} + 2482373 T^{6} + 3851564 T^{7} + 262879358 T^{8} - 493578700 T^{9} + 20078148995 T^{10} - 34694038292 T^{11} + 1959601648370 T^{12} - 2740829025068 T^{13} + 125307727877795 T^{14} - 243353548669300 T^{15} + 10239172287327998 T^{16} + 11851479652358036 T^{17} + 603433736224031333 T^{18} - 1059287619676530440 T^{19} + 15474509861046922200 T^{20} + 9588127678609465520 T^{21} + \)\(19\!\cdots\!08\)\( T^{22} + \)\(89\!\cdots\!48\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 18 T + 1137 T^{2} - 17979 T^{3} + 620907 T^{4} - 8758149 T^{5} + 217257280 T^{6} - 2764125837 T^{7} + 54753351114 T^{8} - 633298998477 T^{9} + 10579712100780 T^{10} - 111836627179257 T^{11} + 1627283743269718 T^{12} - 15770005495743657 T^{13} + 203993631040080000 T^{14} - 1814347768264862977 T^{15} + 21147481117721317332 T^{16} - \)\(17\!\cdots\!77\)\( T^{17} + \)\(18\!\cdots\!90\)\( T^{18} - \)\(13\!\cdots\!83\)\( T^{19} + \)\(13\!\cdots\!12\)\( T^{20} - \)\(89\!\cdots\!03\)\( T^{21} + \)\(79\!\cdots\!00\)\( T^{22} - \)\(48\!\cdots\!43\)\( T^{23} + \)\(39\!\cdots\!78\)\( T^{24} - \)\(21\!\cdots\!63\)\( T^{25} + \)\(16\!\cdots\!80\)\( T^{26} - \)\(75\!\cdots\!63\)\( T^{27} + \)\(51\!\cdots\!14\)\( T^{28} - \)\(20\!\cdots\!23\)\( T^{29} + \)\(12\!\cdots\!80\)\( T^{30} - \)\(40\!\cdots\!11\)\( T^{31} + \)\(22\!\cdots\!67\)\( T^{32} - \)\(52\!\cdots\!21\)\( T^{33} + \)\(26\!\cdots\!77\)\( T^{34} - \)\(32\!\cdots\!62\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 + 30 T + 1233 T^{2} + 26295 T^{3} + 635247 T^{4} + 10661481 T^{5} + 192655152 T^{6} + 2692400361 T^{7} + 40016301606 T^{8} + 484898661933 T^{9} + 6272537628588 T^{10} + 68218974359625 T^{11} + 799695045572138 T^{12} + 8028523098242757 T^{13} + 87467170122989328 T^{14} + 823113614927183141 T^{15} + 8404397744285875104 T^{16} + 74248965272633086581 T^{17} + \)\(70\!\cdots\!42\)\( T^{18} + \)\(58\!\cdots\!99\)\( T^{19} + \)\(52\!\cdots\!64\)\( T^{20} + \)\(40\!\cdots\!99\)\( T^{21} + \)\(34\!\cdots\!68\)\( T^{22} + \)\(24\!\cdots\!43\)\( T^{23} + \)\(19\!\cdots\!98\)\( T^{24} + \)\(13\!\cdots\!75\)\( T^{25} + \)\(95\!\cdots\!68\)\( T^{26} + \)\(58\!\cdots\!27\)\( T^{27} + \)\(37\!\cdots\!06\)\( T^{28} + \)\(20\!\cdots\!19\)\( T^{29} + \)\(11\!\cdots\!32\)\( T^{30} + \)\(49\!\cdots\!59\)\( T^{31} + \)\(23\!\cdots\!07\)\( T^{32} + \)\(76\!\cdots\!05\)\( T^{33} + \)\(28\!\cdots\!93\)\( T^{34} + \)\(54\!\cdots\!70\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 + 18 T + 1137 T^{2} + 17979 T^{3} + 620907 T^{4} + 8758149 T^{5} + 217257280 T^{6} + 2764125837 T^{7} + 54753351114 T^{8} + 633298998477 T^{9} + 10579712100780 T^{10} + 111836627179257 T^{11} + 1627283743269718 T^{12} + 15770005495743657 T^{13} + 203993631040080000 T^{14} + 1814347768264862977 T^{15} + 21147481117721317332 T^{16} + \)\(17\!\cdots\!77\)\( T^{17} + \)\(18\!\cdots\!90\)\( T^{18} + \)\(13\!\cdots\!83\)\( T^{19} + \)\(13\!\cdots\!12\)\( T^{20} + \)\(89\!\cdots\!03\)\( T^{21} + \)\(79\!\cdots\!00\)\( T^{22} + \)\(48\!\cdots\!43\)\( T^{23} + \)\(39\!\cdots\!78\)\( T^{24} + \)\(21\!\cdots\!63\)\( T^{25} + \)\(16\!\cdots\!80\)\( T^{26} + \)\(75\!\cdots\!63\)\( T^{27} + \)\(51\!\cdots\!14\)\( T^{28} + \)\(20\!\cdots\!23\)\( T^{29} + \)\(12\!\cdots\!80\)\( T^{30} + \)\(40\!\cdots\!11\)\( T^{31} + \)\(22\!\cdots\!67\)\( T^{32} + \)\(52\!\cdots\!21\)\( T^{33} + \)\(26\!\cdots\!77\)\( T^{34} + \)\(32\!\cdots\!62\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 - 30 T + 1233 T^{2} - 26295 T^{3} + 635247 T^{4} - 10661481 T^{5} + 192655152 T^{6} - 2692400361 T^{7} + 40016301606 T^{8} - 484898661933 T^{9} + 6272537628588 T^{10} - 68218974359625 T^{11} + 799695045572138 T^{12} - 8028523098242757 T^{13} + 87467170122989328 T^{14} - 823113614927183141 T^{15} + 8404397744285875104 T^{16} - 74248965272633086581 T^{17} + \)\(70\!\cdots\!42\)\( T^{18} - \)\(58\!\cdots\!99\)\( T^{19} + \)\(52\!\cdots\!64\)\( T^{20} - \)\(40\!\cdots\!99\)\( T^{21} + \)\(34\!\cdots\!68\)\( T^{22} - \)\(24\!\cdots\!43\)\( T^{23} + \)\(19\!\cdots\!98\)\( T^{24} - \)\(13\!\cdots\!75\)\( T^{25} + \)\(95\!\cdots\!68\)\( T^{26} - \)\(58\!\cdots\!27\)\( T^{27} + \)\(37\!\cdots\!06\)\( T^{28} - \)\(20\!\cdots\!19\)\( T^{29} + \)\(11\!\cdots\!32\)\( T^{30} - \)\(49\!\cdots\!59\)\( T^{31} + \)\(23\!\cdots\!07\)\( T^{32} - \)\(76\!\cdots\!05\)\( T^{33} + \)\(28\!\cdots\!93\)\( T^{34} - \)\(54\!\cdots\!70\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 + 68 T + 3206 T^{2} + 110272 T^{3} + 3155107 T^{4} + 76540092 T^{5} + 1639598777 T^{6} + 31333491036 T^{7} + 544396377929 T^{8} + 8653684599624 T^{9} + 127251448696034 T^{10} + 1738752393108224 T^{11} + 22248504455866533 T^{12} + 267606781849555892 T^{13} + 3045702450505131759 T^{14} + 32926728799273722428 T^{15} + \)\(34\!\cdots\!05\)\( T^{16} + \)\(33\!\cdots\!56\)\( T^{17} + \)\(32\!\cdots\!76\)\( T^{18} + \)\(29\!\cdots\!20\)\( T^{19} + \)\(27\!\cdots\!22\)\( T^{20} + \)\(23\!\cdots\!80\)\( T^{21} + \)\(20\!\cdots\!16\)\( T^{22} + \)\(16\!\cdots\!84\)\( T^{23} + \)\(13\!\cdots\!05\)\( T^{24} + \)\(10\!\cdots\!72\)\( T^{25} + \)\(74\!\cdots\!39\)\( T^{26} + \)\(51\!\cdots\!28\)\( T^{27} + \)\(33\!\cdots\!13\)\( T^{28} + \)\(20\!\cdots\!56\)\( T^{29} + \)\(12\!\cdots\!34\)\( T^{30} + \)\(64\!\cdots\!96\)\( T^{31} + \)\(32\!\cdots\!89\)\( T^{32} + \)\(14\!\cdots\!04\)\( T^{33} + \)\(60\!\cdots\!37\)\( T^{34} + \)\(22\!\cdots\!08\)\( T^{35} + \)\(72\!\cdots\!47\)\( T^{36} + \)\(20\!\cdots\!48\)\( T^{37} + \)\(46\!\cdots\!66\)\( T^{38} + \)\(77\!\cdots\!92\)\( T^{39} + \)\(89\!\cdots\!01\)\( T^{40} \))(\( 1 - 68 T + 3206 T^{2} - 110272 T^{3} + 3155107 T^{4} - 76540092 T^{5} + 1639598777 T^{6} - 31333491036 T^{7} + 544396377929 T^{8} - 8653684599624 T^{9} + 127251448696034 T^{10} - 1738752393108224 T^{11} + 22248504455866533 T^{12} - 267606781849555892 T^{13} + 3045702450505131759 T^{14} - 32926728799273722428 T^{15} + \)\(34\!\cdots\!05\)\( T^{16} - \)\(33\!\cdots\!56\)\( T^{17} + \)\(32\!\cdots\!76\)\( T^{18} - \)\(29\!\cdots\!20\)\( T^{19} + \)\(27\!\cdots\!22\)\( T^{20} - \)\(23\!\cdots\!80\)\( T^{21} + \)\(20\!\cdots\!16\)\( T^{22} - \)\(16\!\cdots\!84\)\( T^{23} + \)\(13\!\cdots\!05\)\( T^{24} - \)\(10\!\cdots\!72\)\( T^{25} + \)\(74\!\cdots\!39\)\( T^{26} - \)\(51\!\cdots\!28\)\( T^{27} + \)\(33\!\cdots\!13\)\( T^{28} - \)\(20\!\cdots\!56\)\( T^{29} + \)\(12\!\cdots\!34\)\( T^{30} - \)\(64\!\cdots\!96\)\( T^{31} + \)\(32\!\cdots\!89\)\( T^{32} - \)\(14\!\cdots\!04\)\( T^{33} + \)\(60\!\cdots\!37\)\( T^{34} - \)\(22\!\cdots\!08\)\( T^{35} + \)\(72\!\cdots\!47\)\( T^{36} - \)\(20\!\cdots\!48\)\( T^{37} + \)\(46\!\cdots\!66\)\( T^{38} - \)\(77\!\cdots\!92\)\( T^{39} + \)\(89\!\cdots\!01\)\( T^{40} \))
$83$ (\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 10 T + 146 T^{2} - 830 T^{3} + 6889 T^{4} \))(\( 1 + 9 T + 155 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T + 155 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 10 T + 146 T^{2} - 830 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 213 T^{2} + 2016 T^{3} + 17679 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 2 T + 209 T^{2} - 248 T^{3} + 17347 T^{4} - 13778 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 269 T^{2} - 2764 T^{3} + 22327 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 14 T + 161 T^{2} + 1360 T^{3} + 13363 T^{4} + 96446 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 269 T^{2} - 2764 T^{3} + 22327 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 213 T^{2} + 2016 T^{3} + 17679 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 + 26 T + 512 T^{2} + 6810 T^{3} + 71066 T^{4} + 565230 T^{5} + 3527168 T^{6} + 14866462 T^{7} + 47458321 T^{8} \))(\( 1 + 5 T + 277 T^{2} + 920 T^{3} + 31997 T^{4} + 76360 T^{5} + 1908253 T^{6} + 2858935 T^{7} + 47458321 T^{8} \))(\( 1 + 37 T + 799 T^{2} + 11522 T^{3} + 122751 T^{4} + 956326 T^{5} + 5504311 T^{6} + 21156119 T^{7} + 47458321 T^{8} \))(\( 1 + 5 T + 277 T^{2} + 920 T^{3} + 31997 T^{4} + 76360 T^{5} + 1908253 T^{6} + 2858935 T^{7} + 47458321 T^{8} \))(\( 1 + 37 T + 799 T^{2} + 11522 T^{3} + 122751 T^{4} + 956326 T^{5} + 5504311 T^{6} + 21156119 T^{7} + 47458321 T^{8} \))(\( 1 + 26 T + 512 T^{2} + 6810 T^{3} + 71066 T^{4} + 565230 T^{5} + 3527168 T^{6} + 14866462 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T + 191 T^{2} - 1432 T^{3} + 16822 T^{4} - 163956 T^{5} + 1396226 T^{6} - 9865048 T^{7} + 109211317 T^{8} - 284749926 T^{9} + 3939040643 T^{10} \))(\( 1 + 34 T + 663 T^{2} + 8416 T^{3} + 85166 T^{4} + 768716 T^{5} + 7068778 T^{6} + 57977824 T^{7} + 379094781 T^{8} + 1613582914 T^{9} + 3939040643 T^{10} \))(\( 1 + 3 T + 278 T^{2} + 723 T^{3} + 41042 T^{4} + 90406 T^{5} + 3970858 T^{6} + 7503698 T^{7} + 282738338 T^{8} + 413402001 T^{9} + 13193413238 T^{10} + 11817121929 T^{11} + 326940373369 T^{12} \))(\( 1 + 16 T + 422 T^{2} + 4853 T^{3} + 75612 T^{4} + 674372 T^{5} + 7867181 T^{6} + 55972876 T^{7} + 520891068 T^{8} + 2774882311 T^{9} + 20027411462 T^{10} + 63024650288 T^{11} + 326940373369 T^{12} \))(\( 1 - 35 T + 881 T^{2} - 15548 T^{3} + 224512 T^{4} - 2628605 T^{5} + 26219896 T^{6} - 218174215 T^{7} + 1546663168 T^{8} - 8890144276 T^{9} + 41810780801 T^{10} - 137866422505 T^{11} + 326940373369 T^{12} \))(\( 1 - 3 T + 331 T^{2} + 542 T^{3} + 40526 T^{4} + 251965 T^{5} + 3300880 T^{6} + 20913095 T^{7} + 279183614 T^{8} + 309908554 T^{9} + 15708704251 T^{10} - 11817121929 T^{11} + 326940373369 T^{12} \))(\( 1 - 35 T + 881 T^{2} - 15548 T^{3} + 224512 T^{4} - 2628605 T^{5} + 26219896 T^{6} - 218174215 T^{7} + 1546663168 T^{8} - 8890144276 T^{9} + 41810780801 T^{10} - 137866422505 T^{11} + 326940373369 T^{12} \))(\( 1 - 3 T + 331 T^{2} + 542 T^{3} + 40526 T^{4} + 251965 T^{5} + 3300880 T^{6} + 20913095 T^{7} + 279183614 T^{8} + 309908554 T^{9} + 15708704251 T^{10} - 11817121929 T^{11} + 326940373369 T^{12} \))(\( 1 + 16 T + 422 T^{2} + 4853 T^{3} + 75612 T^{4} + 674372 T^{5} + 7867181 T^{6} + 55972876 T^{7} + 520891068 T^{8} + 2774882311 T^{9} + 20027411462 T^{10} + 63024650288 T^{11} + 326940373369 T^{12} \))(\( 1 + 3 T + 278 T^{2} + 723 T^{3} + 41042 T^{4} + 90406 T^{5} + 3970858 T^{6} + 7503698 T^{7} + 282738338 T^{8} + 413402001 T^{9} + 13193413238 T^{10} + 11817121929 T^{11} + 326940373369 T^{12} \))(\( 1 - 30 T + 705 T^{2} - 10933 T^{3} + 158049 T^{4} - 1862097 T^{5} + 21697310 T^{6} - 216283311 T^{7} + 2181257694 T^{8} - 19486370579 T^{9} + 181044388602 T^{10} - 1489975729479 T^{11} + 12406239792970 T^{12} - 88371997159137 T^{13} + 622561434585507 T^{14} - 3574439102043277 T^{15} + 19130915947687035 T^{16} - 67568766964171230 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 30 T + 705 T^{2} - 10933 T^{3} + 158049 T^{4} - 1862097 T^{5} + 21697310 T^{6} - 216283311 T^{7} + 2181257694 T^{8} - 19486370579 T^{9} + 181044388602 T^{10} - 1489975729479 T^{11} + 12406239792970 T^{12} - 88371997159137 T^{13} + 622561434585507 T^{14} - 3574439102043277 T^{15} + 19130915947687035 T^{16} - 67568766964171230 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 10 T + 586 T^{2} - 5716 T^{3} + 176084 T^{4} - 1659782 T^{5} + 35381171 T^{6} - 318383334 T^{7} + 5270596458 T^{8} - 44535333864 T^{9} + 611703969036 T^{10} - 4753902232110 T^{11} + 56639644174337 T^{12} - 394573885265130 T^{13} + 4214028642689004 T^{14} - 25464724944094968 T^{15} + 250133658565227018 T^{16} - 1254124892679843762 T^{17} + 11567533256972435099 T^{18} - 45039928983665081314 T^{19} + \)\(39\!\cdots\!44\)\( T^{20} - \)\(10\!\cdots\!48\)\( T^{21} + \)\(90\!\cdots\!14\)\( T^{22} - \)\(12\!\cdots\!70\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 590 T^{2} - 723 T^{3} + 177117 T^{4} - 339690 T^{5} + 35789485 T^{6} - 80417023 T^{7} + 5372191189 T^{8} - 12522139787 T^{9} + 627233553149 T^{10} - 1399580549767 T^{11} + 58213300666234 T^{12} - 116165185630661 T^{13} + 4321011947643461 T^{14} - 7159996742389369 T^{15} + 254955173920933669 T^{16} - 316765921986065789 T^{17} + 11701027588584224965 T^{18} - 9217845160666395630 T^{19} + \)\(39\!\cdots\!97\)\( T^{20} - \)\(13\!\cdots\!69\)\( T^{21} + \)\(91\!\cdots\!10\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 2 T + 274 T^{2} - 973 T^{3} + 44971 T^{4} - 197794 T^{5} + 5986893 T^{6} - 26981767 T^{7} + 701136613 T^{8} - 3145743593 T^{9} + 69745188057 T^{10} - 318412691517 T^{11} + 6109019223294 T^{12} - 26428253395911 T^{13} + 480474600524673 T^{14} - 1798695291810691 T^{15} + 33274766444606773 T^{16} - 106282276832956181 T^{17} + 1957357032740252517 T^{18} - 5367348069442282838 T^{19} + \)\(10\!\cdots\!11\)\( T^{20} - \)\(18\!\cdots\!19\)\( T^{21} + \)\(42\!\cdots\!26\)\( T^{22} - \)\(25\!\cdots\!34\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 12 T + 438 T^{2} + 5269 T^{3} + 102627 T^{4} + 1231692 T^{5} + 17439721 T^{6} + 202201329 T^{7} + 2362480686 T^{8} + 25461445736 T^{9} + 261217012773 T^{10} + 2567649236274 T^{11} + 23821208637276 T^{12} + 213114886610742 T^{13} + 1799524000993197 T^{14} + 14558523673050232 T^{15} + 112119366752488206 T^{16} + 796479252999614547 T^{17} + 5701748895191190049 T^{18} + 33423256915515658884 T^{19} + \)\(23\!\cdots\!07\)\( T^{20} + \)\(98\!\cdots\!07\)\( T^{21} + \)\(67\!\cdots\!62\)\( T^{22} + \)\(15\!\cdots\!04\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 12 T + 438 T^{2} + 5269 T^{3} + 102627 T^{4} + 1231692 T^{5} + 17439721 T^{6} + 202201329 T^{7} + 2362480686 T^{8} + 25461445736 T^{9} + 261217012773 T^{10} + 2567649236274 T^{11} + 23821208637276 T^{12} + 213114886610742 T^{13} + 1799524000993197 T^{14} + 14558523673050232 T^{15} + 112119366752488206 T^{16} + 796479252999614547 T^{17} + 5701748895191190049 T^{18} + 33423256915515658884 T^{19} + \)\(23\!\cdots\!07\)\( T^{20} + \)\(98\!\cdots\!07\)\( T^{21} + \)\(67\!\cdots\!62\)\( T^{22} + \)\(15\!\cdots\!04\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 2 T + 274 T^{2} - 973 T^{3} + 44971 T^{4} - 197794 T^{5} + 5986893 T^{6} - 26981767 T^{7} + 701136613 T^{8} - 3145743593 T^{9} + 69745188057 T^{10} - 318412691517 T^{11} + 6109019223294 T^{12} - 26428253395911 T^{13} + 480474600524673 T^{14} - 1798695291810691 T^{15} + 33274766444606773 T^{16} - 106282276832956181 T^{17} + 1957357032740252517 T^{18} - 5367348069442282838 T^{19} + \)\(10\!\cdots\!11\)\( T^{20} - \)\(18\!\cdots\!19\)\( T^{21} + \)\(42\!\cdots\!26\)\( T^{22} - \)\(25\!\cdots\!34\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 590 T^{2} - 723 T^{3} + 177117 T^{4} - 339690 T^{5} + 35789485 T^{6} - 80417023 T^{7} + 5372191189 T^{8} - 12522139787 T^{9} + 627233553149 T^{10} - 1399580549767 T^{11} + 58213300666234 T^{12} - 116165185630661 T^{13} + 4321011947643461 T^{14} - 7159996742389369 T^{15} + 254955173920933669 T^{16} - 316765921986065789 T^{17} + 11701027588584224965 T^{18} - 9217845160666395630 T^{19} + \)\(39\!\cdots\!97\)\( T^{20} - \)\(13\!\cdots\!69\)\( T^{21} + \)\(91\!\cdots\!10\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 10 T + 586 T^{2} - 5716 T^{3} + 176084 T^{4} - 1659782 T^{5} + 35381171 T^{6} - 318383334 T^{7} + 5270596458 T^{8} - 44535333864 T^{9} + 611703969036 T^{10} - 4753902232110 T^{11} + 56639644174337 T^{12} - 394573885265130 T^{13} + 4214028642689004 T^{14} - 25464724944094968 T^{15} + 250133658565227018 T^{16} - 1254124892679843762 T^{17} + 11567533256972435099 T^{18} - 45039928983665081314 T^{19} + \)\(39\!\cdots\!44\)\( T^{20} - \)\(10\!\cdots\!48\)\( T^{21} + \)\(90\!\cdots\!14\)\( T^{22} - \)\(12\!\cdots\!70\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 30 T + 894 T^{2} - 21293 T^{3} + 442200 T^{4} - 8269800 T^{5} + 142723163 T^{6} - 2269862226 T^{7} + 33892139136 T^{8} - 476015450960 T^{9} + 6328562335710 T^{10} - 79868047876974 T^{11} + 961030354625746 T^{12} - 11034100285440774 T^{13} + 121243687785930669 T^{14} - 1275954731787377084 T^{15} + 12878672644560948549 T^{16} - \)\(12\!\cdots\!77\)\( T^{17} + \)\(11\!\cdots\!12\)\( T^{18} - \)\(10\!\cdots\!91\)\( T^{19} + \)\(88\!\cdots\!61\)\( T^{20} - \)\(72\!\cdots\!08\)\( T^{21} + \)\(57\!\cdots\!49\)\( T^{22} - \)\(43\!\cdots\!82\)\( T^{23} + \)\(31\!\cdots\!74\)\( T^{24} - \)\(21\!\cdots\!98\)\( T^{25} + \)\(14\!\cdots\!10\)\( T^{26} - \)\(88\!\cdots\!80\)\( T^{27} + \)\(52\!\cdots\!64\)\( T^{28} - \)\(29\!\cdots\!42\)\( T^{29} + \)\(15\!\cdots\!43\)\( T^{30} - \)\(73\!\cdots\!00\)\( T^{31} + \)\(32\!\cdots\!00\)\( T^{32} - \)\(13\!\cdots\!51\)\( T^{33} + \)\(45\!\cdots\!14\)\( T^{34} - \)\(12\!\cdots\!90\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 - 48 T + 2034 T^{2} - 58773 T^{3} + 1525434 T^{4} - 32846430 T^{5} + 649317055 T^{6} - 11378249748 T^{7} + 185928798306 T^{8} - 2780026777282 T^{9} + 39188332649226 T^{10} - 514656155029968 T^{11} + 6421538272748480 T^{12} - 75479536547589456 T^{13} + 847437864511230009 T^{14} - 9024823460958492794 T^{15} + 92118073357639377363 T^{16} - \)\(89\!\cdots\!55\)\( T^{17} + \)\(83\!\cdots\!92\)\( T^{18} - \)\(74\!\cdots\!65\)\( T^{19} + \)\(63\!\cdots\!07\)\( T^{20} - \)\(51\!\cdots\!78\)\( T^{21} + \)\(40\!\cdots\!89\)\( T^{22} - \)\(29\!\cdots\!08\)\( T^{23} + \)\(20\!\cdots\!20\)\( T^{24} - \)\(13\!\cdots\!36\)\( T^{25} + \)\(88\!\cdots\!66\)\( T^{26} - \)\(51\!\cdots\!46\)\( T^{27} + \)\(28\!\cdots\!94\)\( T^{28} - \)\(14\!\cdots\!16\)\( T^{29} + \)\(69\!\cdots\!55\)\( T^{30} - \)\(29\!\cdots\!90\)\( T^{31} + \)\(11\!\cdots\!86\)\( T^{32} - \)\(35\!\cdots\!11\)\( T^{33} + \)\(10\!\cdots\!54\)\( T^{34} - \)\(20\!\cdots\!04\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 - 30 T + 894 T^{2} - 21293 T^{3} + 442200 T^{4} - 8269800 T^{5} + 142723163 T^{6} - 2269862226 T^{7} + 33892139136 T^{8} - 476015450960 T^{9} + 6328562335710 T^{10} - 79868047876974 T^{11} + 961030354625746 T^{12} - 11034100285440774 T^{13} + 121243687785930669 T^{14} - 1275954731787377084 T^{15} + 12878672644560948549 T^{16} - \)\(12\!\cdots\!77\)\( T^{17} + \)\(11\!\cdots\!12\)\( T^{18} - \)\(10\!\cdots\!91\)\( T^{19} + \)\(88\!\cdots\!61\)\( T^{20} - \)\(72\!\cdots\!08\)\( T^{21} + \)\(57\!\cdots\!49\)\( T^{22} - \)\(43\!\cdots\!82\)\( T^{23} + \)\(31\!\cdots\!74\)\( T^{24} - \)\(21\!\cdots\!98\)\( T^{25} + \)\(14\!\cdots\!10\)\( T^{26} - \)\(88\!\cdots\!80\)\( T^{27} + \)\(52\!\cdots\!64\)\( T^{28} - \)\(29\!\cdots\!42\)\( T^{29} + \)\(15\!\cdots\!43\)\( T^{30} - \)\(73\!\cdots\!00\)\( T^{31} + \)\(32\!\cdots\!00\)\( T^{32} - \)\(13\!\cdots\!51\)\( T^{33} + \)\(45\!\cdots\!14\)\( T^{34} - \)\(12\!\cdots\!90\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 - 48 T + 2034 T^{2} - 58773 T^{3} + 1525434 T^{4} - 32846430 T^{5} + 649317055 T^{6} - 11378249748 T^{7} + 185928798306 T^{8} - 2780026777282 T^{9} + 39188332649226 T^{10} - 514656155029968 T^{11} + 6421538272748480 T^{12} - 75479536547589456 T^{13} + 847437864511230009 T^{14} - 9024823460958492794 T^{15} + 92118073357639377363 T^{16} - \)\(89\!\cdots\!55\)\( T^{17} + \)\(83\!\cdots\!92\)\( T^{18} - \)\(74\!\cdots\!65\)\( T^{19} + \)\(63\!\cdots\!07\)\( T^{20} - \)\(51\!\cdots\!78\)\( T^{21} + \)\(40\!\cdots\!89\)\( T^{22} - \)\(29\!\cdots\!08\)\( T^{23} + \)\(20\!\cdots\!20\)\( T^{24} - \)\(13\!\cdots\!36\)\( T^{25} + \)\(88\!\cdots\!66\)\( T^{26} - \)\(51\!\cdots\!46\)\( T^{27} + \)\(28\!\cdots\!94\)\( T^{28} - \)\(14\!\cdots\!16\)\( T^{29} + \)\(69\!\cdots\!55\)\( T^{30} - \)\(29\!\cdots\!90\)\( T^{31} + \)\(11\!\cdots\!86\)\( T^{32} - \)\(35\!\cdots\!11\)\( T^{33} + \)\(10\!\cdots\!54\)\( T^{34} - \)\(20\!\cdots\!04\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 + 10 T + 1006 T^{2} + 8544 T^{3} + 492444 T^{4} + 3518674 T^{5} + 156372387 T^{6} + 921508674 T^{7} + 36251217620 T^{8} + 170272246360 T^{9} + 6553675946324 T^{10} + 23222903786822 T^{11} + 965564682327925 T^{12} + 2366086412023462 T^{13} + 119939577065567886 T^{14} + 177160055948875464 T^{15} + 12930514449704029311 T^{16} + 9373637646458329024 T^{17} + \)\(12\!\cdots\!37\)\( T^{18} + \)\(38\!\cdots\!38\)\( T^{19} + \)\(10\!\cdots\!06\)\( T^{20} + \)\(31\!\cdots\!54\)\( T^{21} + \)\(85\!\cdots\!93\)\( T^{22} + \)\(53\!\cdots\!88\)\( T^{23} + \)\(61\!\cdots\!31\)\( T^{24} + \)\(69\!\cdots\!52\)\( T^{25} + \)\(39\!\cdots\!34\)\( T^{26} + \)\(64\!\cdots\!74\)\( T^{27} + \)\(21\!\cdots\!25\)\( T^{28} + \)\(43\!\cdots\!66\)\( T^{29} + \)\(10\!\cdots\!76\)\( T^{30} + \)\(21\!\cdots\!20\)\( T^{31} + \)\(38\!\cdots\!20\)\( T^{32} + \)\(81\!\cdots\!62\)\( T^{33} + \)\(11\!\cdots\!23\)\( T^{34} + \)\(21\!\cdots\!18\)\( T^{35} + \)\(24\!\cdots\!64\)\( T^{36} + \)\(35\!\cdots\!12\)\( T^{37} + \)\(35\!\cdots\!54\)\( T^{38} + \)\(29\!\cdots\!70\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( 1 + 10 T + 1006 T^{2} + 8544 T^{3} + 492444 T^{4} + 3518674 T^{5} + 156372387 T^{6} + 921508674 T^{7} + 36251217620 T^{8} + 170272246360 T^{9} + 6553675946324 T^{10} + 23222903786822 T^{11} + 965564682327925 T^{12} + 2366086412023462 T^{13} + 119939577065567886 T^{14} + 177160055948875464 T^{15} + 12930514449704029311 T^{16} + 9373637646458329024 T^{17} + \)\(12\!\cdots\!37\)\( T^{18} + \)\(38\!\cdots\!38\)\( T^{19} + \)\(10\!\cdots\!06\)\( T^{20} + \)\(31\!\cdots\!54\)\( T^{21} + \)\(85\!\cdots\!93\)\( T^{22} + \)\(53\!\cdots\!88\)\( T^{23} + \)\(61\!\cdots\!31\)\( T^{24} + \)\(69\!\cdots\!52\)\( T^{25} + \)\(39\!\cdots\!34\)\( T^{26} + \)\(64\!\cdots\!74\)\( T^{27} + \)\(21\!\cdots\!25\)\( T^{28} + \)\(43\!\cdots\!66\)\( T^{29} + \)\(10\!\cdots\!76\)\( T^{30} + \)\(21\!\cdots\!20\)\( T^{31} + \)\(38\!\cdots\!20\)\( T^{32} + \)\(81\!\cdots\!62\)\( T^{33} + \)\(11\!\cdots\!23\)\( T^{34} + \)\(21\!\cdots\!18\)\( T^{35} + \)\(24\!\cdots\!64\)\( T^{36} + \)\(35\!\cdots\!12\)\( T^{37} + \)\(35\!\cdots\!54\)\( T^{38} + \)\(29\!\cdots\!70\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))
$89$ (\( 1 + 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 19 T + 267 T^{2} + 1691 T^{3} + 7921 T^{4} \))(\( 1 + 2 T + 99 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 - 2 T + 99 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 - 19 T + 267 T^{2} - 1691 T^{3} + 7921 T^{4} \))(\( 1 + 78 T^{2} + 459 T^{3} + 6942 T^{4} + 704969 T^{6} \))(\( 1 - 2 T + 71 T^{2} + 820 T^{3} + 6319 T^{4} - 15842 T^{5} + 704969 T^{6} \))(\( 1 - 6 T + 135 T^{2} - 356 T^{3} + 12015 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 + 14 T + 279 T^{2} + 2196 T^{3} + 24831 T^{4} + 110894 T^{5} + 704969 T^{6} \))(\( 1 + 6 T + 135 T^{2} + 356 T^{3} + 12015 T^{4} + 47526 T^{5} + 704969 T^{6} \))(\( 1 + 78 T^{2} - 459 T^{3} + 6942 T^{4} + 704969 T^{6} \))(\( 1 + 12 T + 284 T^{2} + 2308 T^{3} + 34790 T^{4} + 205412 T^{5} + 2249564 T^{6} + 8459628 T^{7} + 62742241 T^{8} \))(\( 1 - 14 T + 224 T^{2} - 2914 T^{3} + 28974 T^{4} - 259346 T^{5} + 1774304 T^{6} - 9869566 T^{7} + 62742241 T^{8} \))(\( 1 + 10 T + 200 T^{2} + 2310 T^{3} + 24158 T^{4} + 205590 T^{5} + 1584200 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 + 14 T + 224 T^{2} + 2914 T^{3} + 28974 T^{4} + 259346 T^{5} + 1774304 T^{6} + 9869566 T^{7} + 62742241 T^{8} \))(\( 1 - 10 T + 200 T^{2} - 2310 T^{3} + 24158 T^{4} - 205590 T^{5} + 1584200 T^{6} - 7049690 T^{7} + 62742241 T^{8} \))(\( 1 - 12 T + 284 T^{2} - 2308 T^{3} + 34790 T^{4} - 205412 T^{5} + 2249564 T^{6} - 8459628 T^{7} + 62742241 T^{8} \))(\( 1 + 26 T + 373 T^{2} + 3880 T^{3} + 43778 T^{4} + 447100 T^{5} + 3896242 T^{6} + 30733480 T^{7} + 262953437 T^{8} + 1631298266 T^{9} + 5584059449 T^{10} \))(\( 1 + 10 T + 133 T^{2} + 1256 T^{3} + 20082 T^{4} + 179484 T^{5} + 1787298 T^{6} + 9948776 T^{7} + 93760877 T^{8} + 627422410 T^{9} + 5584059449 T^{10} \))(\( 1 - T + 255 T^{2} + 86 T^{3} + 40471 T^{4} + 5509 T^{5} + 4335837 T^{6} + 490301 T^{7} + 320570791 T^{8} + 60627334 T^{9} + 15999271455 T^{10} - 5584059449 T^{11} + 496981290961 T^{12} \))(\( 1 + 6 T + 341 T^{2} + 2511 T^{3} + 61544 T^{4} + 393200 T^{5} + 6979759 T^{6} + 34994800 T^{7} + 487490024 T^{8} + 1770177159 T^{9} + 21395104181 T^{10} + 33504356694 T^{11} + 496981290961 T^{12} \))(\( 1 + 4 T + 377 T^{2} + 26 T^{3} + 55583 T^{4} - 165246 T^{5} + 5321630 T^{6} - 14706894 T^{7} + 440272943 T^{8} + 18329194 T^{9} + 23653824857 T^{10} + 22336237796 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T + 353 T^{2} - 3606 T^{3} + 63479 T^{4} - 535550 T^{5} + 7110366 T^{6} - 47663950 T^{7} + 502817159 T^{8} - 2542118214 T^{9} + 22148011073 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 4 T + 377 T^{2} - 26 T^{3} + 55583 T^{4} + 165246 T^{5} + 5321630 T^{6} + 14706894 T^{7} + 440272943 T^{8} - 18329194 T^{9} + 23653824857 T^{10} - 22336237796 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T + 353 T^{2} + 3606 T^{3} + 63479 T^{4} + 535550 T^{5} + 7110366 T^{6} + 47663950 T^{7} + 502817159 T^{8} + 2542118214 T^{9} + 22148011073 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 6 T + 341 T^{2} - 2511 T^{3} + 61544 T^{4} - 393200 T^{5} + 6979759 T^{6} - 34994800 T^{7} + 487490024 T^{8} - 1770177159 T^{9} + 21395104181 T^{10} - 33504356694 T^{11} + 496981290961 T^{12} \))(\( 1 + T + 255 T^{2} - 86 T^{3} + 40471 T^{4} - 5509 T^{5} + 4335837 T^{6} - 490301 T^{7} + 320570791 T^{8} - 60627334 T^{9} + 15999271455 T^{10} + 5584059449 T^{11} + 496981290961 T^{12} \))(\( 1 + 9 T + 336 T^{2} + 1894 T^{3} + 38268 T^{4} + 179682 T^{5} + 2298831 T^{6} + 26786472 T^{7} + 182351028 T^{8} + 3475792623 T^{9} + 16229241492 T^{10} + 212175644712 T^{11} + 1620604591239 T^{12} + 11273651347362 T^{13} + 213690786994332 T^{14} + 941282565080134 T^{15} + 14861728524897744 T^{16} + 35429299251318729 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 9 T + 336 T^{2} - 1894 T^{3} + 38268 T^{4} - 179682 T^{5} + 2298831 T^{6} - 26786472 T^{7} + 182351028 T^{8} - 3475792623 T^{9} + 16229241492 T^{10} - 212175644712 T^{11} + 1620604591239 T^{12} - 11273651347362 T^{13} + 213690786994332 T^{14} - 941282565080134 T^{15} + 14861728524897744 T^{16} - 35429299251318729 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 66 T + 2656 T^{2} + 78432 T^{3} + 1873973 T^{4} + 37851174 T^{5} + 666277793 T^{6} + 10407772808 T^{7} + 146263379830 T^{8} + 1865573334828 T^{9} + 21742207622748 T^{10} + 232454863923040 T^{11} + 2285928725700039 T^{12} + 20688482889150560 T^{13} + 172220026579786908 T^{14} + 1315171368280360332 T^{15} + 9176892226768399030 T^{16} + 58117622091557662792 T^{17} + \)\(33\!\cdots\!73\)\( T^{18} + \)\(16\!\cdots\!46\)\( T^{19} + \)\(73\!\cdots\!13\)\( T^{20} + \)\(27\!\cdots\!88\)\( T^{21} + \)\(82\!\cdots\!56\)\( T^{22} + \)\(18\!\cdots\!74\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 15 T + 874 T^{2} + 10917 T^{3} + 350617 T^{4} + 3706990 T^{5} + 86492629 T^{6} + 785152984 T^{7} + 14859560054 T^{8} + 117461402737 T^{9} + 1908920361581 T^{10} + 13316082530461 T^{11} + 191101956631368 T^{12} + 1185131345211029 T^{13} + 15120558184083101 T^{14} + 82806647626100153 T^{15} + 932322098062041014 T^{16} + 4384340939215745816 T^{17} + 42985218419030826469 T^{18} + \)\(16\!\cdots\!10\)\( T^{19} + \)\(13\!\cdots\!77\)\( T^{20} + \)\(38\!\cdots\!53\)\( T^{21} + \)\(27\!\cdots\!74\)\( T^{22} + \)\(41\!\cdots\!35\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 27 T + 676 T^{2} + 12119 T^{3} + 213679 T^{4} + 3149472 T^{5} + 45290049 T^{6} + 573471456 T^{7} + 7112469742 T^{8} + 79962783717 T^{9} + 879017064983 T^{10} + 8834745383921 T^{11} + 86944715604236 T^{12} + 786292339168969 T^{13} + 6962694171730343 T^{14} + 56371283674189773 T^{15} + 446252290657771822 T^{16} + 3202298702608587744 T^{17} + 22508307019706947089 T^{18} + \)\(13\!\cdots\!88\)\( T^{19} + \)\(84\!\cdots\!99\)\( T^{20} + \)\(42\!\cdots\!71\)\( T^{21} + \)\(21\!\cdots\!76\)\( T^{22} + \)\(74\!\cdots\!03\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 21 T + 870 T^{2} + 15523 T^{3} + 364239 T^{4} + 5560464 T^{5} + 95912264 T^{6} + 1267056105 T^{7} + 17646455910 T^{8} + 203273978742 T^{9} + 2388458357970 T^{10} + 24057330616500 T^{11} + 243836837760203 T^{12} + 2141102424868500 T^{13} + 18918978653480370 T^{14} + 143301853519768998 T^{15} + 1107178189501094310 T^{16} + 7075316615538386145 T^{17} + 47666600781712245704 T^{18} + \)\(24\!\cdots\!56\)\( T^{19} + \)\(14\!\cdots\!59\)\( T^{20} + \)\(54\!\cdots\!07\)\( T^{21} + \)\(27\!\cdots\!70\)\( T^{22} + \)\(58\!\cdots\!69\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 21 T + 870 T^{2} - 15523 T^{3} + 364239 T^{4} - 5560464 T^{5} + 95912264 T^{6} - 1267056105 T^{7} + 17646455910 T^{8} - 203273978742 T^{9} + 2388458357970 T^{10} - 24057330616500 T^{11} + 243836837760203 T^{12} - 2141102424868500 T^{13} + 18918978653480370 T^{14} - 143301853519768998 T^{15} + 1107178189501094310 T^{16} - 7075316615538386145 T^{17} + 47666600781712245704 T^{18} - \)\(24\!\cdots\!56\)\( T^{19} + \)\(14\!\cdots\!59\)\( T^{20} - \)\(54\!\cdots\!07\)\( T^{21} + \)\(27\!\cdots\!70\)\( T^{22} - \)\(58\!\cdots\!69\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 27 T + 676 T^{2} - 12119 T^{3} + 213679 T^{4} - 3149472 T^{5} + 45290049 T^{6} - 573471456 T^{7} + 7112469742 T^{8} - 79962783717 T^{9} + 879017064983 T^{10} - 8834745383921 T^{11} + 86944715604236 T^{12} - 786292339168969 T^{13} + 6962694171730343 T^{14} - 56371283674189773 T^{15} + 446252290657771822 T^{16} - 3202298702608587744 T^{17} + 22508307019706947089 T^{18} - \)\(13\!\cdots\!88\)\( T^{19} + \)\(84\!\cdots\!99\)\( T^{20} - \)\(42\!\cdots\!71\)\( T^{21} + \)\(21\!\cdots\!76\)\( T^{22} - \)\(74\!\cdots\!03\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 15 T + 874 T^{2} - 10917 T^{3} + 350617 T^{4} - 3706990 T^{5} + 86492629 T^{6} - 785152984 T^{7} + 14859560054 T^{8} - 117461402737 T^{9} + 1908920361581 T^{10} - 13316082530461 T^{11} + 191101956631368 T^{12} - 1185131345211029 T^{13} + 15120558184083101 T^{14} - 82806647626100153 T^{15} + 932322098062041014 T^{16} - 4384340939215745816 T^{17} + 42985218419030826469 T^{18} - \)\(16\!\cdots\!10\)\( T^{19} + \)\(13\!\cdots\!77\)\( T^{20} - \)\(38\!\cdots\!53\)\( T^{21} + \)\(27\!\cdots\!74\)\( T^{22} - \)\(41\!\cdots\!35\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 66 T + 2656 T^{2} - 78432 T^{3} + 1873973 T^{4} - 37851174 T^{5} + 666277793 T^{6} - 10407772808 T^{7} + 146263379830 T^{8} - 1865573334828 T^{9} + 21742207622748 T^{10} - 232454863923040 T^{11} + 2285928725700039 T^{12} - 20688482889150560 T^{13} + 172220026579786908 T^{14} - 1315171368280360332 T^{15} + 9176892226768399030 T^{16} - 58117622091557662792 T^{17} + \)\(33\!\cdots\!73\)\( T^{18} - \)\(16\!\cdots\!46\)\( T^{19} + \)\(73\!\cdots\!13\)\( T^{20} - \)\(27\!\cdots\!88\)\( T^{21} + \)\(82\!\cdots\!56\)\( T^{22} - \)\(18\!\cdots\!74\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 3 T + 984 T^{2} + 4285 T^{3} + 478167 T^{4} + 2695722 T^{5} + 153855635 T^{6} + 1031135532 T^{7} + 37022917488 T^{8} + 274966396373 T^{9} + 7104822115227 T^{10} + 55150470430110 T^{11} + 1126261836642134 T^{12} + 8723504241911298 T^{13} + 150197306896326852 T^{14} + 1121867824413193797 T^{15} + 16997785120509609603 T^{16} + \)\(11\!\cdots\!53\)\( T^{17} + \)\(16\!\cdots\!37\)\( T^{18} + \)\(10\!\cdots\!17\)\( T^{19} + \)\(13\!\cdots\!63\)\( T^{20} + \)\(79\!\cdots\!93\)\( T^{21} + \)\(94\!\cdots\!32\)\( T^{22} + \)\(48\!\cdots\!02\)\( T^{23} + \)\(55\!\cdots\!74\)\( T^{24} + \)\(24\!\cdots\!90\)\( T^{25} + \)\(27\!\cdots\!87\)\( T^{26} + \)\(96\!\cdots\!57\)\( T^{27} + \)\(11\!\cdots\!88\)\( T^{28} + \)\(28\!\cdots\!48\)\( T^{29} + \)\(38\!\cdots\!35\)\( T^{30} + \)\(59\!\cdots\!18\)\( T^{31} + \)\(93\!\cdots\!47\)\( T^{32} + \)\(74\!\cdots\!65\)\( T^{33} + \)\(15\!\cdots\!24\)\( T^{34} + \)\(41\!\cdots\!87\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 + 15 T + 900 T^{2} + 12207 T^{3} + 401883 T^{4} + 5111994 T^{5} + 119542589 T^{6} + 1452710868 T^{7} + 26622198546 T^{8} + 312177565209 T^{9} + 4725461004735 T^{10} + 53703179702106 T^{11} + 695190703350374 T^{12} + 7651377828980322 T^{13} + 87031620390308286 T^{14} + 922206370878720379 T^{15} + 9438542853580576257 T^{16} + 95228660507663191941 T^{17} + \)\(89\!\cdots\!55\)\( T^{18} + \)\(84\!\cdots\!49\)\( T^{19} + \)\(74\!\cdots\!97\)\( T^{20} + \)\(65\!\cdots\!51\)\( T^{21} + \)\(54\!\cdots\!26\)\( T^{22} + \)\(42\!\cdots\!78\)\( T^{23} + \)\(34\!\cdots\!14\)\( T^{24} + \)\(23\!\cdots\!74\)\( T^{25} + \)\(18\!\cdots\!35\)\( T^{26} + \)\(10\!\cdots\!81\)\( T^{27} + \)\(83\!\cdots\!46\)\( T^{28} + \)\(40\!\cdots\!52\)\( T^{29} + \)\(29\!\cdots\!69\)\( T^{30} + \)\(11\!\cdots\!86\)\( T^{31} + \)\(78\!\cdots\!03\)\( T^{32} + \)\(21\!\cdots\!43\)\( T^{33} + \)\(13\!\cdots\!00\)\( T^{34} + \)\(20\!\cdots\!35\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 - 3 T + 984 T^{2} - 4285 T^{3} + 478167 T^{4} - 2695722 T^{5} + 153855635 T^{6} - 1031135532 T^{7} + 37022917488 T^{8} - 274966396373 T^{9} + 7104822115227 T^{10} - 55150470430110 T^{11} + 1126261836642134 T^{12} - 8723504241911298 T^{13} + 150197306896326852 T^{14} - 1121867824413193797 T^{15} + 16997785120509609603 T^{16} - \)\(11\!\cdots\!53\)\( T^{17} + \)\(16\!\cdots\!37\)\( T^{18} - \)\(10\!\cdots\!17\)\( T^{19} + \)\(13\!\cdots\!63\)\( T^{20} - \)\(79\!\cdots\!93\)\( T^{21} + \)\(94\!\cdots\!32\)\( T^{22} - \)\(48\!\cdots\!02\)\( T^{23} + \)\(55\!\cdots\!74\)\( T^{24} - \)\(24\!\cdots\!90\)\( T^{25} + \)\(27\!\cdots\!87\)\( T^{26} - \)\(96\!\cdots\!57\)\( T^{27} + \)\(11\!\cdots\!88\)\( T^{28} - \)\(28\!\cdots\!48\)\( T^{29} + \)\(38\!\cdots\!35\)\( T^{30} - \)\(59\!\cdots\!18\)\( T^{31} + \)\(93\!\cdots\!47\)\( T^{32} - \)\(74\!\cdots\!65\)\( T^{33} + \)\(15\!\cdots\!24\)\( T^{34} - \)\(41\!\cdots\!87\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 - 15 T + 900 T^{2} - 12207 T^{3} + 401883 T^{4} - 5111994 T^{5} + 119542589 T^{6} - 1452710868 T^{7} + 26622198546 T^{8} - 312177565209 T^{9} + 4725461004735 T^{10} - 53703179702106 T^{11} + 695190703350374 T^{12} - 7651377828980322 T^{13} + 87031620390308286 T^{14} - 922206370878720379 T^{15} + 9438542853580576257 T^{16} - 95228660507663191941 T^{17} + \)\(89\!\cdots\!55\)\( T^{18} - \)\(84\!\cdots\!49\)\( T^{19} + \)\(74\!\cdots\!97\)\( T^{20} - \)\(65\!\cdots\!51\)\( T^{21} + \)\(54\!\cdots\!26\)\( T^{22} - \)\(42\!\cdots\!78\)\( T^{23} + \)\(34\!\cdots\!14\)\( T^{24} - \)\(23\!\cdots\!74\)\( T^{25} + \)\(18\!\cdots\!35\)\( T^{26} - \)\(10\!\cdots\!81\)\( T^{27} + \)\(83\!\cdots\!46\)\( T^{28} - \)\(40\!\cdots\!52\)\( T^{29} + \)\(29\!\cdots\!69\)\( T^{30} - \)\(11\!\cdots\!86\)\( T^{31} + \)\(78\!\cdots\!03\)\( T^{32} - \)\(21\!\cdots\!43\)\( T^{33} + \)\(13\!\cdots\!00\)\( T^{34} - \)\(20\!\cdots\!35\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 + 38 T + 1416 T^{2} + 35288 T^{3} + 831877 T^{4} + 16297626 T^{5} + 302255397 T^{6} + 5012149536 T^{7} + 79103812128 T^{8} + 1155058712144 T^{9} + 16141760287316 T^{10} + 212678989822488 T^{11} + 2694958308534577 T^{12} + 32570151723356716 T^{13} + 380095234181583710 T^{14} + 4262367700723718420 T^{15} + 46300970620840491891 T^{16} + \)\(48\!\cdots\!98\)\( T^{17} + \)\(49\!\cdots\!69\)\( T^{18} + \)\(48\!\cdots\!22\)\( T^{19} + \)\(46\!\cdots\!96\)\( T^{20} + \)\(43\!\cdots\!58\)\( T^{21} + \)\(39\!\cdots\!49\)\( T^{22} + \)\(34\!\cdots\!62\)\( T^{23} + \)\(29\!\cdots\!31\)\( T^{24} + \)\(23\!\cdots\!80\)\( T^{25} + \)\(18\!\cdots\!10\)\( T^{26} + \)\(14\!\cdots\!64\)\( T^{27} + \)\(10\!\cdots\!37\)\( T^{28} + \)\(74\!\cdots\!92\)\( T^{29} + \)\(50\!\cdots\!16\)\( T^{30} + \)\(32\!\cdots\!16\)\( T^{31} + \)\(19\!\cdots\!88\)\( T^{32} + \)\(11\!\cdots\!84\)\( T^{33} + \)\(59\!\cdots\!77\)\( T^{34} + \)\(28\!\cdots\!74\)\( T^{35} + \)\(12\!\cdots\!97\)\( T^{36} + \)\(48\!\cdots\!52\)\( T^{37} + \)\(17\!\cdots\!96\)\( T^{38} + \)\(41\!\cdots\!42\)\( T^{39} + \)\(97\!\cdots\!01\)\( T^{40} \))(\( 1 - 38 T + 1416 T^{2} - 35288 T^{3} + 831877 T^{4} - 16297626 T^{5} + 302255397 T^{6} - 5012149536 T^{7} + 79103812128 T^{8} - 1155058712144 T^{9} + 16141760287316 T^{10} - 212678989822488 T^{11} + 2694958308534577 T^{12} - 32570151723356716 T^{13} + 380095234181583710 T^{14} - 4262367700723718420 T^{15} + 46300970620840491891 T^{16} - \)\(48\!\cdots\!98\)\( T^{17} + \)\(49\!\cdots\!69\)\( T^{18} - \)\(48\!\cdots\!22\)\( T^{19} + \)\(46\!\cdots\!96\)\( T^{20} - \)\(43\!\cdots\!58\)\( T^{21} + \)\(39\!\cdots\!49\)\( T^{22} - \)\(34\!\cdots\!62\)\( T^{23} + \)\(29\!\cdots\!31\)\( T^{24} - \)\(23\!\cdots\!80\)\( T^{25} + \)\(18\!\cdots\!10\)\( T^{26} - \)\(14\!\cdots\!64\)\( T^{27} + \)\(10\!\cdots\!37\)\( T^{28} - \)\(74\!\cdots\!92\)\( T^{29} + \)\(50\!\cdots\!16\)\( T^{30} - \)\(32\!\cdots\!16\)\( T^{31} + \)\(19\!\cdots\!88\)\( T^{32} - \)\(11\!\cdots\!84\)\( T^{33} + \)\(59\!\cdots\!77\)\( T^{34} - \)\(28\!\cdots\!74\)\( T^{35} + \)\(12\!\cdots\!97\)\( T^{36} - \)\(48\!\cdots\!52\)\( T^{37} + \)\(17\!\cdots\!96\)\( T^{38} - \)\(41\!\cdots\!42\)\( T^{39} + \)\(97\!\cdots\!01\)\( T^{40} \))
$97$ (\( 1 + 14 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 19 T + 273 T^{2} + 1843 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 165 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 165 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 19 T + 273 T^{2} - 1843 T^{3} + 9409 T^{4} \))(\( 1 + 99 T^{2} + 512 T^{3} + 9603 T^{4} + 912673 T^{6} \))(\( 1 + 22 T + 335 T^{2} + 3380 T^{3} + 32495 T^{4} + 206998 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 191 T^{2} - 2124 T^{3} + 18527 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 + 10 T + 111 T^{2} + 76 T^{3} + 10767 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 + 10 T + 191 T^{2} + 2124 T^{3} + 18527 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 + 99 T^{2} - 512 T^{3} + 9603 T^{4} + 912673 T^{6} \))(\( 1 - 4 T + 356 T^{2} - 1084 T^{3} + 50358 T^{4} - 105148 T^{5} + 3349604 T^{6} - 3650692 T^{7} + 88529281 T^{8} \))(\( 1 - 3 T + 336 T^{2} - 851 T^{3} + 46367 T^{4} - 82547 T^{5} + 3161424 T^{6} - 2738019 T^{7} + 88529281 T^{8} \))(\( 1 - 21 T + 478 T^{2} - 5935 T^{3} + 73259 T^{4} - 575695 T^{5} + 4497502 T^{6} - 19166133 T^{7} + 88529281 T^{8} \))(\( 1 + 3 T + 336 T^{2} + 851 T^{3} + 46367 T^{4} + 82547 T^{5} + 3161424 T^{6} + 2738019 T^{7} + 88529281 T^{8} \))(\( 1 + 21 T + 478 T^{2} + 5935 T^{3} + 73259 T^{4} + 575695 T^{5} + 4497502 T^{6} + 19166133 T^{7} + 88529281 T^{8} \))(\( 1 + 4 T + 356 T^{2} + 1084 T^{3} + 50358 T^{4} + 105148 T^{5} + 3349604 T^{6} + 3650692 T^{7} + 88529281 T^{8} \))(\( 1 - 18 T + 397 T^{2} - 5464 T^{3} + 74962 T^{4} - 716844 T^{5} + 7271314 T^{6} - 51410776 T^{7} + 362331181 T^{8} - 1593527058 T^{9} + 8587340257 T^{10} \))(\( 1 - 16 T + 173 T^{2} - 1664 T^{3} + 22834 T^{4} - 216544 T^{5} + 2214898 T^{6} - 15656576 T^{7} + 157892429 T^{8} - 1416468496 T^{9} + 8587340257 T^{10} \))(\( 1 + 25 T + 592 T^{2} + 9142 T^{3} + 134345 T^{4} + 1571902 T^{5} + 17147021 T^{6} + 152474494 T^{7} + 1264052105 T^{8} + 8343656566 T^{9} + 52409334352 T^{10} + 214683506425 T^{11} + 832972004929 T^{12} \))(\( 1 - 36 T + 1044 T^{2} - 19670 T^{3} + 319275 T^{4} - 3993524 T^{5} + 44052133 T^{6} - 387371828 T^{7} + 3004058475 T^{8} - 17952277910 T^{9} + 92424569364 T^{10} - 309144249252 T^{11} + 832972004929 T^{12} \))(\( 1 + 55 T + 1718 T^{2} + 37517 T^{3} + 629168 T^{4} + 8410012 T^{5} + 91595366 T^{6} + 815771164 T^{7} + 5919841712 T^{8} + 34240752941 T^{9} + 152093304758 T^{10} + 472303714135 T^{11} + 832972004929 T^{12} \))(\( 1 - 7 T + 380 T^{2} - 3411 T^{3} + 70384 T^{4} - 638574 T^{5} + 8345306 T^{6} - 61941678 T^{7} + 662243056 T^{8} - 3113127603 T^{9} + 33641126780 T^{10} - 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 - 55 T + 1718 T^{2} - 37517 T^{3} + 629168 T^{4} - 8410012 T^{5} + 91595366 T^{6} - 815771164 T^{7} + 5919841712 T^{8} - 34240752941 T^{9} + 152093304758 T^{10} - 472303714135 T^{11} + 832972004929 T^{12} \))(\( 1 + 7 T + 380 T^{2} + 3411 T^{3} + 70384 T^{4} + 638574 T^{5} + 8345306 T^{6} + 61941678 T^{7} + 662243056 T^{8} + 3113127603 T^{9} + 33641126780 T^{10} + 60111381799 T^{11} + 832972004929 T^{12} \))(\( 1 + 36 T + 1044 T^{2} + 19670 T^{3} + 319275 T^{4} + 3993524 T^{5} + 44052133 T^{6} + 387371828 T^{7} + 3004058475 T^{8} + 17952277910 T^{9} + 92424569364 T^{10} + 309144249252 T^{11} + 832972004929 T^{12} \))(\( 1 - 25 T + 592 T^{2} - 9142 T^{3} + 134345 T^{4} - 1571902 T^{5} + 17147021 T^{6} - 152474494 T^{7} + 1264052105 T^{8} - 8343656566 T^{9} + 52409334352 T^{10} - 214683506425 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T + 516 T^{2} - 916 T^{3} + 128379 T^{4} - 49221 T^{5} + 20632572 T^{6} + 15145155 T^{7} + 2472211554 T^{8} + 2729898335 T^{9} + 239804520738 T^{10} + 142500763395 T^{11} + 18830791384956 T^{12} - 4357499740101 T^{13} + 1102434154853403 T^{14} - 763002356514964 T^{15} + 41691914790706308 T^{16} - 23512300783130883 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 3 T + 516 T^{2} + 916 T^{3} + 128379 T^{4} + 49221 T^{5} + 20632572 T^{6} - 15145155 T^{7} + 2472211554 T^{8} - 2729898335 T^{9} + 239804520738 T^{10} - 142500763395 T^{11} + 18830791384956 T^{12} + 4357499740101 T^{13} + 1102434154853403 T^{14} + 763002356514964 T^{15} + 41691914790706308 T^{16} + 23512300783130883 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 564 T^{2} - 416 T^{3} + 143814 T^{4} - 313868 T^{5} + 21801026 T^{6} - 103839604 T^{7} + 2181463467 T^{8} - 20505743468 T^{9} + 160579549934 T^{10} - 2755432524432 T^{11} + 12454324547537 T^{12} - 267276954869904 T^{13} + 1510892985329006 T^{14} - 18715038408169964 T^{15} + 193123392261277227 T^{16} - 891706011700138228 T^{17} + 18159644336729257154 T^{18} - 25359995952576371084 T^{19} + \)\(11\!\cdots\!54\)\( T^{20} - \)\(31\!\cdots\!72\)\( T^{21} + \)\(41\!\cdots\!36\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 49 T + 1363 T^{2} + 26249 T^{3} + 411242 T^{4} + 5736059 T^{5} + 75907244 T^{6} + 941282184 T^{7} + 10845951344 T^{8} + 117121705225 T^{9} + 1236672721377 T^{10} + 12866488172474 T^{11} + 129991626656154 T^{12} + 1248049352729978 T^{13} + 11635853635436193 T^{14} + 106893818072816425 T^{15} + 960184274245303664 T^{16} + 8083110391860081288 T^{17} + 63228609223314805676 T^{18} + \)\(46\!\cdots\!67\)\( T^{19} + \)\(32\!\cdots\!62\)\( T^{20} + \)\(19\!\cdots\!33\)\( T^{21} + \)\(10\!\cdots\!87\)\( T^{22} + \)\(35\!\cdots\!97\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 47 T + 1887 T^{2} + 50963 T^{3} + 1227382 T^{4} + 24086813 T^{5} + 432721300 T^{6} + 6753123936 T^{7} + 97923974696 T^{8} + 1269007602999 T^{9} + 15404154250285 T^{10} + 169289284628298 T^{11} + 1748955383057554 T^{12} + 16421060608944906 T^{13} + 144937687340931565 T^{14} + 1158188976051906327 T^{15} + 8669139072499073576 T^{16} + 57991373036123091552 T^{17} + \)\(36\!\cdots\!00\)\( T^{18} + \)\(19\!\cdots\!69\)\( T^{19} + \)\(96\!\cdots\!02\)\( T^{20} + \)\(38\!\cdots\!71\)\( T^{21} + \)\(13\!\cdots\!63\)\( T^{22} + \)\(33\!\cdots\!91\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 75 T + 3339 T^{2} - 108087 T^{3} + 2804340 T^{4} - 61072452 T^{5} + 1151534704 T^{6} - 19163371107 T^{7} + 285514978911 T^{8} - 3845085331711 T^{9} + 47141854569813 T^{10} - 528524430319860 T^{11} + 5433799046957048 T^{12} - 51266869741026420 T^{13} + 443557709647370517 T^{14} - 3509305564948673503 T^{15} + 25276435797720992991 T^{16} - \)\(16\!\cdots\!99\)\( T^{17} + \)\(95\!\cdots\!16\)\( T^{18} - \)\(49\!\cdots\!76\)\( T^{19} + \)\(21\!\cdots\!40\)\( T^{20} - \)\(82\!\cdots\!79\)\( T^{21} + \)\(24\!\cdots\!11\)\( T^{22} - \)\(53\!\cdots\!75\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 75 T + 3339 T^{2} + 108087 T^{3} + 2804340 T^{4} + 61072452 T^{5} + 1151534704 T^{6} + 19163371107 T^{7} + 285514978911 T^{8} + 3845085331711 T^{9} + 47141854569813 T^{10} + 528524430319860 T^{11} + 5433799046957048 T^{12} + 51266869741026420 T^{13} + 443557709647370517 T^{14} + 3509305564948673503 T^{15} + 25276435797720992991 T^{16} + \)\(16\!\cdots\!99\)\( T^{17} + \)\(95\!\cdots\!16\)\( T^{18} + \)\(49\!\cdots\!76\)\( T^{19} + \)\(21\!\cdots\!40\)\( T^{20} + \)\(82\!\cdots\!79\)\( T^{21} + \)\(24\!\cdots\!11\)\( T^{22} + \)\(53\!\cdots\!75\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 47 T + 1887 T^{2} - 50963 T^{3} + 1227382 T^{4} - 24086813 T^{5} + 432721300 T^{6} - 6753123936 T^{7} + 97923974696 T^{8} - 1269007602999 T^{9} + 15404154250285 T^{10} - 169289284628298 T^{11} + 1748955383057554 T^{12} - 16421060608944906 T^{13} + 144937687340931565 T^{14} - 1158188976051906327 T^{15} + 8669139072499073576 T^{16} - 57991373036123091552 T^{17} + \)\(36\!\cdots\!00\)\( T^{18} - \)\(19\!\cdots\!69\)\( T^{19} + \)\(96\!\cdots\!02\)\( T^{20} - \)\(38\!\cdots\!71\)\( T^{21} + \)\(13\!\cdots\!63\)\( T^{22} - \)\(33\!\cdots\!91\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 49 T + 1363 T^{2} - 26249 T^{3} + 411242 T^{4} - 5736059 T^{5} + 75907244 T^{6} - 941282184 T^{7} + 10845951344 T^{8} - 117121705225 T^{9} + 1236672721377 T^{10} - 12866488172474 T^{11} + 129991626656154 T^{12} - 1248049352729978 T^{13} + 11635853635436193 T^{14} - 106893818072816425 T^{15} + 960184274245303664 T^{16} - 8083110391860081288 T^{17} + 63228609223314805676 T^{18} - \)\(46\!\cdots\!67\)\( T^{19} + \)\(32\!\cdots\!62\)\( T^{20} - \)\(19\!\cdots\!33\)\( T^{21} + \)\(10\!\cdots\!87\)\( T^{22} - \)\(35\!\cdots\!97\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 564 T^{2} + 416 T^{3} + 143814 T^{4} + 313868 T^{5} + 21801026 T^{6} + 103839604 T^{7} + 2181463467 T^{8} + 20505743468 T^{9} + 160579549934 T^{10} + 2755432524432 T^{11} + 12454324547537 T^{12} + 267276954869904 T^{13} + 1510892985329006 T^{14} + 18715038408169964 T^{15} + 193123392261277227 T^{16} + 891706011700138228 T^{17} + 18159644336729257154 T^{18} + 25359995952576371084 T^{19} + \)\(11\!\cdots\!54\)\( T^{20} + \)\(31\!\cdots\!72\)\( T^{21} + \)\(41\!\cdots\!36\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 75 T + 3693 T^{2} + 134215 T^{3} + 4027503 T^{4} + 103197969 T^{5} + 2337405719 T^{6} + 47544330618 T^{7} + 882578911152 T^{8} + 15086046204692 T^{9} + 239593240309566 T^{10} + 3554784551174940 T^{11} + 49541756268691700 T^{12} + 650733664947536700 T^{13} + 8083192928763414729 T^{14} + 95136737282530972849 T^{15} + \)\(10\!\cdots\!48\)\( T^{16} + \)\(11\!\cdots\!26\)\( T^{17} + \)\(11\!\cdots\!34\)\( T^{18} + \)\(10\!\cdots\!22\)\( T^{19} + \)\(10\!\cdots\!32\)\( T^{20} + \)\(86\!\cdots\!77\)\( T^{21} + \)\(71\!\cdots\!49\)\( T^{22} + \)\(55\!\cdots\!00\)\( T^{23} + \)\(41\!\cdots\!00\)\( T^{24} + \)\(28\!\cdots\!20\)\( T^{25} + \)\(18\!\cdots\!26\)\( T^{26} + \)\(11\!\cdots\!64\)\( T^{27} + \)\(65\!\cdots\!48\)\( T^{28} + \)\(34\!\cdots\!54\)\( T^{29} + \)\(16\!\cdots\!79\)\( T^{30} + \)\(69\!\cdots\!13\)\( T^{31} + \)\(26\!\cdots\!07\)\( T^{32} + \)\(84\!\cdots\!95\)\( T^{33} + \)\(22\!\cdots\!53\)\( T^{34} + \)\(44\!\cdots\!75\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 + 3 T + 921 T^{2} + 3617 T^{3} + 430041 T^{4} + 1960887 T^{5} + 134405069 T^{6} + 670336236 T^{7} + 31415758518 T^{8} + 165466045710 T^{9} + 5837096295882 T^{10} + 31728806817186 T^{11} + 897984487551094 T^{12} + 4948599715627554 T^{13} + 118006539664997331 T^{14} + 647606514742429779 T^{15} + 13578017642415262266 T^{16} + 72583512539736449940 T^{17} + \)\(13\!\cdots\!26\)\( T^{18} + \)\(70\!\cdots\!80\)\( T^{19} + \)\(12\!\cdots\!94\)\( T^{20} + \)\(59\!\cdots\!67\)\( T^{21} + \)\(10\!\cdots\!11\)\( T^{22} + \)\(42\!\cdots\!78\)\( T^{23} + \)\(74\!\cdots\!26\)\( T^{24} + \)\(25\!\cdots\!18\)\( T^{25} + \)\(45\!\cdots\!02\)\( T^{26} + \)\(12\!\cdots\!70\)\( T^{27} + \)\(23\!\cdots\!82\)\( T^{28} + \)\(47\!\cdots\!08\)\( T^{29} + \)\(93\!\cdots\!29\)\( T^{30} + \)\(13\!\cdots\!99\)\( T^{31} + \)\(28\!\cdots\!29\)\( T^{32} + \)\(22\!\cdots\!81\)\( T^{33} + \)\(56\!\cdots\!41\)\( T^{34} + \)\(17\!\cdots\!11\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 - 75 T + 3693 T^{2} - 134215 T^{3} + 4027503 T^{4} - 103197969 T^{5} + 2337405719 T^{6} - 47544330618 T^{7} + 882578911152 T^{8} - 15086046204692 T^{9} + 239593240309566 T^{10} - 3554784551174940 T^{11} + 49541756268691700 T^{12} - 650733664947536700 T^{13} + 8083192928763414729 T^{14} - 95136737282530972849 T^{15} + \)\(10\!\cdots\!48\)\( T^{16} - \)\(11\!\cdots\!26\)\( T^{17} + \)\(11\!\cdots\!34\)\( T^{18} - \)\(10\!\cdots\!22\)\( T^{19} + \)\(10\!\cdots\!32\)\( T^{20} - \)\(86\!\cdots\!77\)\( T^{21} + \)\(71\!\cdots\!49\)\( T^{22} - \)\(55\!\cdots\!00\)\( T^{23} + \)\(41\!\cdots\!00\)\( T^{24} - \)\(28\!\cdots\!20\)\( T^{25} + \)\(18\!\cdots\!26\)\( T^{26} - \)\(11\!\cdots\!64\)\( T^{27} + \)\(65\!\cdots\!48\)\( T^{28} - \)\(34\!\cdots\!54\)\( T^{29} + \)\(16\!\cdots\!79\)\( T^{30} - \)\(69\!\cdots\!13\)\( T^{31} + \)\(26\!\cdots\!07\)\( T^{32} - \)\(84\!\cdots\!95\)\( T^{33} + \)\(22\!\cdots\!53\)\( T^{34} - \)\(44\!\cdots\!75\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 - 3 T + 921 T^{2} - 3617 T^{3} + 430041 T^{4} - 1960887 T^{5} + 134405069 T^{6} - 670336236 T^{7} + 31415758518 T^{8} - 165466045710 T^{9} + 5837096295882 T^{10} - 31728806817186 T^{11} + 897984487551094 T^{12} - 4948599715627554 T^{13} + 118006539664997331 T^{14} - 647606514742429779 T^{15} + 13578017642415262266 T^{16} - 72583512539736449940 T^{17} + \)\(13\!\cdots\!26\)\( T^{18} - \)\(70\!\cdots\!80\)\( T^{19} + \)\(12\!\cdots\!94\)\( T^{20} - \)\(59\!\cdots\!67\)\( T^{21} + \)\(10\!\cdots\!11\)\( T^{22} - \)\(42\!\cdots\!78\)\( T^{23} + \)\(74\!\cdots\!26\)\( T^{24} - \)\(25\!\cdots\!18\)\( T^{25} + \)\(45\!\cdots\!02\)\( T^{26} - \)\(12\!\cdots\!70\)\( T^{27} + \)\(23\!\cdots\!82\)\( T^{28} - \)\(47\!\cdots\!08\)\( T^{29} + \)\(93\!\cdots\!29\)\( T^{30} - \)\(13\!\cdots\!99\)\( T^{31} + \)\(28\!\cdots\!29\)\( T^{32} - \)\(22\!\cdots\!81\)\( T^{33} + \)\(56\!\cdots\!41\)\( T^{34} - \)\(17\!\cdots\!11\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 - 72 T + 3440 T^{2} - 123216 T^{3} + 3683654 T^{4} - 95017092 T^{5} + 2184099894 T^{6} - 45430147612 T^{7} + 867820679589 T^{8} - 15355482454388 T^{9} + 253757599216482 T^{10} - 3937469829222248 T^{11} + 57660086785064893 T^{12} - 799670501090373984 T^{13} + 10538352910139745654 T^{14} - \)\(13\!\cdots\!44\)\( T^{15} + \)\(15\!\cdots\!18\)\( T^{16} - \)\(18\!\cdots\!52\)\( T^{17} + \)\(19\!\cdots\!38\)\( T^{18} - \)\(20\!\cdots\!36\)\( T^{19} + \)\(21\!\cdots\!26\)\( T^{20} - \)\(20\!\cdots\!92\)\( T^{21} + \)\(18\!\cdots\!42\)\( T^{22} - \)\(16\!\cdots\!96\)\( T^{23} + \)\(14\!\cdots\!58\)\( T^{24} - \)\(11\!\cdots\!08\)\( T^{25} + \)\(87\!\cdots\!66\)\( T^{26} - \)\(64\!\cdots\!92\)\( T^{27} + \)\(45\!\cdots\!73\)\( T^{28} - \)\(29\!\cdots\!16\)\( T^{29} + \)\(18\!\cdots\!18\)\( T^{30} - \)\(10\!\cdots\!64\)\( T^{31} + \)\(60\!\cdots\!49\)\( T^{32} - \)\(30\!\cdots\!24\)\( T^{33} + \)\(14\!\cdots\!86\)\( T^{34} - \)\(60\!\cdots\!56\)\( T^{35} + \)\(22\!\cdots\!34\)\( T^{36} - \)\(73\!\cdots\!92\)\( T^{37} + \)\(19\!\cdots\!60\)\( T^{38} - \)\(40\!\cdots\!76\)\( T^{39} + \)\(54\!\cdots\!01\)\( T^{40} \))(\( 1 + 72 T + 3440 T^{2} + 123216 T^{3} + 3683654 T^{4} + 95017092 T^{5} + 2184099894 T^{6} + 45430147612 T^{7} + 867820679589 T^{8} + 15355482454388 T^{9} + 253757599216482 T^{10} + 3937469829222248 T^{11} + 57660086785064893 T^{12} + 799670501090373984 T^{13} + 10538352910139745654 T^{14} + \)\(13\!\cdots\!44\)\( T^{15} + \)\(15\!\cdots\!18\)\( T^{16} + \)\(18\!\cdots\!52\)\( T^{17} + \)\(19\!\cdots\!38\)\( T^{18} + \)\(20\!\cdots\!36\)\( T^{19} + \)\(21\!\cdots\!26\)\( T^{20} + \)\(20\!\cdots\!92\)\( T^{21} + \)\(18\!\cdots\!42\)\( T^{22} + \)\(16\!\cdots\!96\)\( T^{23} + \)\(14\!\cdots\!58\)\( T^{24} + \)\(11\!\cdots\!08\)\( T^{25} + \)\(87\!\cdots\!66\)\( T^{26} + \)\(64\!\cdots\!92\)\( T^{27} + \)\(45\!\cdots\!73\)\( T^{28} + \)\(29\!\cdots\!16\)\( T^{29} + \)\(18\!\cdots\!18\)\( T^{30} + \)\(10\!\cdots\!64\)\( T^{31} + \)\(60\!\cdots\!49\)\( T^{32} + \)\(30\!\cdots\!24\)\( T^{33} + \)\(14\!\cdots\!86\)\( T^{34} + \)\(60\!\cdots\!56\)\( T^{35} + \)\(22\!\cdots\!34\)\( T^{36} + \)\(73\!\cdots\!92\)\( T^{37} + \)\(19\!\cdots\!60\)\( T^{38} + \)\(40\!\cdots\!76\)\( T^{39} + \)\(54\!\cdots\!01\)\( T^{40} \))
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