Properties

Label 8025.2.a
Level 8025
Weight 2
Character orbit a
Rep. character \(\chi_{8025}(1,\cdot)\)
Character field \(\Q\)
Dimension 336
Newform subspaces 44
Sturm bound 2160
Trace bound 13

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Defining parameters

Level: \( N \) \(=\) \( 8025 = 3 \cdot 5^{2} \cdot 107 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8025.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 44 \)
Sturm bound: \(2160\)
Trace bound: \(13\)
Distinguishing \(T_p\): \(2\), \(7\), \(11\), \(13\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(8025))\).

Total New Old
Modular forms 1092 336 756
Cusp forms 1069 336 733
Eisenstein series 23 0 23

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

\(3\)\(5\)\(107\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(38\)
\(+\)\(+\)\(-\)\(-\)\(43\)
\(+\)\(-\)\(+\)\(-\)\(49\)
\(+\)\(-\)\(-\)\(+\)\(39\)
\(-\)\(+\)\(+\)\(-\)\(41\)
\(-\)\(+\)\(-\)\(+\)\(36\)
\(-\)\(-\)\(+\)\(+\)\(40\)
\(-\)\(-\)\(-\)\(-\)\(50\)
Plus space\(+\)\(153\)
Minus space\(-\)\(183\)

Trace form

\( 336q + 2q^{2} - 2q^{3} + 336q^{4} + 6q^{8} + 336q^{9} + O(q^{10}) \) \( 336q + 2q^{2} - 2q^{3} + 336q^{4} + 6q^{8} + 336q^{9} + 12q^{11} + 2q^{12} - 4q^{13} + 344q^{16} + 12q^{17} + 2q^{18} + 4q^{19} - 16q^{21} + 8q^{22} + 16q^{23} - 12q^{24} - 2q^{27} + 8q^{28} - 32q^{29} - 8q^{31} + 34q^{32} - 8q^{33} - 16q^{34} + 336q^{36} - 20q^{37} + 28q^{38} - 4q^{41} - 4q^{42} + 12q^{43} + 68q^{44} + 4q^{46} + 2q^{48} + 328q^{49} - 12q^{51} + 24q^{52} - 12q^{53} + 8q^{56} - 24q^{57} - 4q^{58} + 24q^{59} - 64q^{61} + 12q^{62} + 340q^{64} + 16q^{66} - 20q^{67} + 48q^{68} - 4q^{69} - 16q^{71} + 6q^{72} + 48q^{74} + 12q^{76} + 24q^{77} - 24q^{78} - 16q^{79} + 336q^{81} + 12q^{82} + 68q^{83} - 12q^{84} + 76q^{86} - 20q^{87} + 24q^{88} + 68q^{89} - 68q^{91} + 112q^{92} - 28q^{93} + 120q^{94} - 24q^{96} + 50q^{98} + 12q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(8025))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 107
8025.2.a.a \(1\) \(64.080\) \(\Q\) None \(-2\) \(-1\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}-4q^{7}+\cdots\)
8025.2.a.b \(1\) \(64.080\) \(\Q\) None \(-2\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{7}+q^{9}+\cdots\)
8025.2.a.c \(1\) \(64.080\) \(\Q\) None \(-2\) \(1\) \(0\) \(-5\) \(-\) \(-\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}-5q^{7}+\cdots\)
8025.2.a.d \(1\) \(64.080\) \(\Q\) None \(-2\) \(1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots\)
8025.2.a.e \(1\) \(64.080\) \(\Q\) None \(-2\) \(1\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
8025.2.a.f \(1\) \(64.080\) \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+2q^{7}+3q^{8}+\cdots\)
8025.2.a.g \(1\) \(64.080\) \(\Q\) None \(-1\) \(1\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+4q^{7}+3q^{8}+\cdots\)
8025.2.a.h \(1\) \(64.080\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}+q^{7}+q^{9}-6q^{11}+2q^{12}+\cdots\)
8025.2.a.i \(1\) \(64.080\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}+2q^{7}+q^{9}-3q^{11}+\cdots\)
8025.2.a.j \(1\) \(64.080\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}-2q^{7}+q^{9}-3q^{11}+\cdots\)
8025.2.a.k \(1\) \(64.080\) \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-4q^{7}-3q^{8}+\cdots\)
8025.2.a.l \(1\) \(64.080\) \(\Q\) None \(1\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\cdots\)
8025.2.a.m \(1\) \(64.080\) \(\Q\) None \(2\) \(-1\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
8025.2.a.n \(1\) \(64.080\) \(\Q\) None \(2\) \(-1\) \(0\) \(5\) \(+\) \(-\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+5q^{7}+\cdots\)
8025.2.a.o \(1\) \(64.080\) \(\Q\) None \(2\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
8025.2.a.p \(1\) \(64.080\) \(\Q\) None \(2\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
8025.2.a.q \(1\) \(64.080\) \(\Q\) None \(2\) \(1\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+4q^{7}+\cdots\)
8025.2.a.r \(2\) \(64.080\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(2\) \(+\) \(+\) \(+\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
8025.2.a.s \(2\) \(64.080\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(4\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
8025.2.a.t \(3\) \(64.080\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(0\) \(-9\) \(+\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
8025.2.a.u \(3\) \(64.080\) 3.3.169.1 None \(-1\) \(-3\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.v \(3\) \(64.080\) 3.3.169.1 None \(1\) \(3\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q+(1-\beta _{1}+\beta _{2})q^{2}+q^{3}+(2-2\beta _{1}+\cdots)q^{4}+\cdots\)
8025.2.a.w \(4\) \(64.080\) 4.4.1957.1 None \(3\) \(-4\) \(0\) \(8\) \(+\) \(+\) \(-\) \(q+(1+\beta _{2})q^{2}-q^{3}+(1-\beta _{1}-\beta _{3})q^{4}+\cdots\)
8025.2.a.x \(5\) \(64.080\) 5.5.240133.1 None \(-2\) \(5\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.y \(5\) \(64.080\) 5.5.81509.1 None \(1\) \(-5\) \(0\) \(3\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}-\beta _{1}q^{6}+(\beta _{2}+\cdots)q^{7}+\cdots\)
8025.2.a.z \(5\) \(64.080\) 5.5.805501.1 None \(1\) \(5\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.ba \(6\) \(64.080\) 6.6.13231312.1 None \(-3\) \(-6\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{2}q^{2}-q^{3}+(1-\beta _{4})q^{4}+\beta _{2}q^{6}+\cdots\)
8025.2.a.bb \(7\) \(64.080\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(7\) \(0\) \(-6\) \(-\) \(+\) \(+\) \(q-\beta _{5}q^{2}+q^{3}+(2-\beta _{1}-\beta _{4})q^{4}-\beta _{5}q^{6}+\cdots\)
8025.2.a.bc \(10\) \(64.080\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(10\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.bd \(11\) \(64.080\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(4\) \(-11\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.be \(11\) \(64.080\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(4\) \(11\) \(0\) \(9\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bf \(12\) \(64.080\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-3\) \(-12\) \(0\) \(-7\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bg \(13\) \(64.080\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-1\) \(-13\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bh \(13\) \(64.080\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(1\) \(13\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bi \(16\) \(64.080\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-6\) \(16\) \(0\) \(-10\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
8025.2.a.bj \(16\) \(64.080\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(6\) \(-16\) \(0\) \(10\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
8025.2.a.bk \(17\) \(64.080\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(-4\) \(-17\) \(0\) \(-9\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bl \(17\) \(64.080\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(4\) \(17\) \(0\) \(9\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bm \(18\) \(64.080\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-4\) \(18\) \(0\) \(-12\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.bn \(18\) \(64.080\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(4\) \(-18\) \(0\) \(12\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.bo \(22\) \(64.080\) None \(-3\) \(22\) \(0\) \(-2\) \(-\) \(-\) \(+\)
8025.2.a.bp \(22\) \(64.080\) None \(3\) \(-22\) \(0\) \(2\) \(+\) \(-\) \(-\)
8025.2.a.bq \(29\) \(64.080\) None \(-6\) \(-29\) \(0\) \(-4\) \(+\) \(-\) \(+\)
8025.2.a.br \(29\) \(64.080\) None \(6\) \(29\) \(0\) \(4\) \(-\) \(-\) \(-\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(8025))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(8025)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(107))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(321))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(535))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1605))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2675))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 6 T^{2} + 9 T^{3} + 12 T^{4} + 12 T^{5} + 8 T^{6} \))(\( 1 + T + 2 T^{2} + 5 T^{3} + 4 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 - T + 2 T^{2} - 5 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 - 3 T + 7 T^{2} - 11 T^{3} + 17 T^{4} - 22 T^{5} + 28 T^{6} - 24 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 6 T^{2} + 10 T^{3} + 18 T^{4} + 25 T^{5} + 36 T^{6} + 40 T^{7} + 48 T^{8} + 32 T^{9} + 32 T^{10} \))(\( 1 - T + 5 T^{2} - 5 T^{3} + 15 T^{4} - 14 T^{5} + 30 T^{6} - 20 T^{7} + 40 T^{8} - 16 T^{9} + 32 T^{10} \))(\( 1 - T + 3 T^{2} - T^{3} + 7 T^{4} - 4 T^{5} + 14 T^{6} - 4 T^{7} + 24 T^{8} - 16 T^{9} + 32 T^{10} \))(\( 1 + 3 T + 7 T^{2} + 12 T^{3} + 21 T^{4} + 31 T^{5} + 47 T^{6} + 62 T^{7} + 84 T^{8} + 96 T^{9} + 112 T^{10} + 96 T^{11} + 64 T^{12} \))(\( 1 + T^{3} - T^{4} + 4 T^{6} + 11 T^{7} + 8 T^{8} - 8 T^{10} + 16 T^{11} + 128 T^{14} \))(\( 1 + 2 T + 7 T^{2} + 10 T^{3} + 23 T^{4} + 25 T^{5} + 51 T^{6} + 44 T^{7} + 81 T^{8} + 46 T^{9} + 125 T^{10} + 92 T^{11} + 324 T^{12} + 352 T^{13} + 816 T^{14} + 800 T^{15} + 1472 T^{16} + 1280 T^{17} + 1792 T^{18} + 1024 T^{19} + 1024 T^{20} \))(\( 1 - 4 T + 10 T^{2} - 19 T^{3} + 31 T^{4} - 44 T^{5} + 60 T^{6} - 76 T^{7} + 83 T^{8} - 69 T^{9} + 25 T^{10} + 12 T^{11} + 50 T^{12} - 276 T^{13} + 664 T^{14} - 1216 T^{15} + 1920 T^{16} - 2816 T^{17} + 3968 T^{18} - 4864 T^{19} + 5120 T^{20} - 4096 T^{21} + 2048 T^{22} \))(\( 1 - 4 T + 13 T^{2} - 34 T^{3} + 79 T^{4} - 167 T^{5} + 323 T^{6} - 588 T^{7} + 1003 T^{8} - 1616 T^{9} + 2473 T^{10} - 3584 T^{11} + 4946 T^{12} - 6464 T^{13} + 8024 T^{14} - 9408 T^{15} + 10336 T^{16} - 10688 T^{17} + 10112 T^{18} - 8704 T^{19} + 6656 T^{20} - 4096 T^{21} + 2048 T^{22} \))(\( 1 + 3 T + 9 T^{2} + 17 T^{3} + 35 T^{4} + 56 T^{5} + 104 T^{6} + 147 T^{7} + 241 T^{8} + 303 T^{9} + 483 T^{10} + 607 T^{11} + 990 T^{12} + 1214 T^{13} + 1932 T^{14} + 2424 T^{15} + 3856 T^{16} + 4704 T^{17} + 6656 T^{18} + 7168 T^{19} + 8960 T^{20} + 8704 T^{21} + 9216 T^{22} + 6144 T^{23} + 4096 T^{24} \))(\( 1 + T + 6 T^{2} + 4 T^{3} + 23 T^{4} + 16 T^{5} + 74 T^{6} + 52 T^{7} + 213 T^{8} + 153 T^{9} + 540 T^{10} + 350 T^{11} + 1188 T^{12} + 720 T^{13} + 2376 T^{14} + 1400 T^{15} + 4320 T^{16} + 2448 T^{17} + 6816 T^{18} + 3328 T^{19} + 9472 T^{20} + 4096 T^{21} + 11776 T^{22} + 4096 T^{23} + 12288 T^{24} + 4096 T^{25} + 8192 T^{26} \))(\( 1 - T + 6 T^{2} - 4 T^{3} + 23 T^{4} - 16 T^{5} + 74 T^{6} - 52 T^{7} + 213 T^{8} - 153 T^{9} + 540 T^{10} - 350 T^{11} + 1188 T^{12} - 720 T^{13} + 2376 T^{14} - 1400 T^{15} + 4320 T^{16} - 2448 T^{17} + 6816 T^{18} - 3328 T^{19} + 9472 T^{20} - 4096 T^{21} + 11776 T^{22} - 4096 T^{23} + 12288 T^{24} - 4096 T^{25} + 8192 T^{26} \))(\( 1 + 6 T + 27 T^{2} + 91 T^{3} + 264 T^{4} + 669 T^{5} + 1540 T^{6} + 3255 T^{7} + 6435 T^{8} + 11974 T^{9} + 21225 T^{10} + 35943 T^{11} + 58643 T^{12} + 92254 T^{13} + 140686 T^{14} + 207872 T^{15} + 298444 T^{16} + 415744 T^{17} + 562744 T^{18} + 738032 T^{19} + 938288 T^{20} + 1150176 T^{21} + 1358400 T^{22} + 1532672 T^{23} + 1647360 T^{24} + 1666560 T^{25} + 1576960 T^{26} + 1370112 T^{27} + 1081344 T^{28} + 745472 T^{29} + 442368 T^{30} + 196608 T^{31} + 65536 T^{32} \))(\( 1 - 6 T + 27 T^{2} - 91 T^{3} + 264 T^{4} - 669 T^{5} + 1540 T^{6} - 3255 T^{7} + 6435 T^{8} - 11974 T^{9} + 21225 T^{10} - 35943 T^{11} + 58643 T^{12} - 92254 T^{13} + 140686 T^{14} - 207872 T^{15} + 298444 T^{16} - 415744 T^{17} + 562744 T^{18} - 738032 T^{19} + 938288 T^{20} - 1150176 T^{21} + 1358400 T^{22} - 1532672 T^{23} + 1647360 T^{24} - 1666560 T^{25} + 1576960 T^{26} - 1370112 T^{27} + 1081344 T^{28} - 745472 T^{29} + 442368 T^{30} - 196608 T^{31} + 65536 T^{32} \))(\( 1 + 4 T + 17 T^{2} + 47 T^{3} + 128 T^{4} + 287 T^{5} + 632 T^{6} + 1247 T^{7} + 2421 T^{8} + 4382 T^{9} + 7799 T^{10} + 13195 T^{11} + 21907 T^{12} + 34930 T^{13} + 54568 T^{14} + 82316 T^{15} + 121584 T^{16} + 173784 T^{17} + 243168 T^{18} + 329264 T^{19} + 436544 T^{20} + 558880 T^{21} + 701024 T^{22} + 844480 T^{23} + 998272 T^{24} + 1121792 T^{25} + 1239552 T^{26} + 1276928 T^{27} + 1294336 T^{28} + 1175552 T^{29} + 1048576 T^{30} + 770048 T^{31} + 557056 T^{32} + 262144 T^{33} + 131072 T^{34} \))(\( 1 - 4 T + 17 T^{2} - 47 T^{3} + 128 T^{4} - 287 T^{5} + 632 T^{6} - 1247 T^{7} + 2421 T^{8} - 4382 T^{9} + 7799 T^{10} - 13195 T^{11} + 21907 T^{12} - 34930 T^{13} + 54568 T^{14} - 82316 T^{15} + 121584 T^{16} - 173784 T^{17} + 243168 T^{18} - 329264 T^{19} + 436544 T^{20} - 558880 T^{21} + 701024 T^{22} - 844480 T^{23} + 998272 T^{24} - 1121792 T^{25} + 1239552 T^{26} - 1276928 T^{27} + 1294336 T^{28} - 1175552 T^{29} + 1048576 T^{30} - 770048 T^{31} + 557056 T^{32} - 262144 T^{33} + 131072 T^{34} \))(\( 1 + 4 T + 17 T^{2} + 49 T^{3} + 138 T^{4} + 329 T^{5} + 756 T^{6} + 1583 T^{7} + 3195 T^{8} + 6070 T^{9} + 11151 T^{10} + 19585 T^{11} + 33377 T^{12} + 54862 T^{13} + 87722 T^{14} + 136016 T^{15} + 205472 T^{16} + 301984 T^{17} + 432744 T^{18} + 603968 T^{19} + 821888 T^{20} + 1088128 T^{21} + 1403552 T^{22} + 1755584 T^{23} + 2136128 T^{24} + 2506880 T^{25} + 2854656 T^{26} + 3107840 T^{27} + 3271680 T^{28} + 3241984 T^{29} + 3096576 T^{30} + 2695168 T^{31} + 2260992 T^{32} + 1605632 T^{33} + 1114112 T^{34} + 524288 T^{35} + 262144 T^{36} \))(\( 1 - 4 T + 17 T^{2} - 49 T^{3} + 138 T^{4} - 329 T^{5} + 756 T^{6} - 1583 T^{7} + 3195 T^{8} - 6070 T^{9} + 11151 T^{10} - 19585 T^{11} + 33377 T^{12} - 54862 T^{13} + 87722 T^{14} - 136016 T^{15} + 205472 T^{16} - 301984 T^{17} + 432744 T^{18} - 603968 T^{19} + 821888 T^{20} - 1088128 T^{21} + 1403552 T^{22} - 1755584 T^{23} + 2136128 T^{24} - 2506880 T^{25} + 2854656 T^{26} - 3107840 T^{27} + 3271680 T^{28} - 3241984 T^{29} + 3096576 T^{30} - 2695168 T^{31} + 2260992 T^{32} - 1605632 T^{33} + 1114112 T^{34} - 524288 T^{35} + 262144 T^{36} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{7} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{13} \))(\( ( 1 - T )^{13} \))(\( ( 1 - T )^{16} \))(\( ( 1 + T )^{16} \))(\( ( 1 + T )^{17} \))(\( ( 1 - T )^{17} \))(\( ( 1 - T )^{18} \))(\( ( 1 + T )^{18} \))
$5$ 1
$7$ (\( 1 + 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 2 T + 10 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( 1 + 9 T + 45 T^{2} + 143 T^{3} + 315 T^{4} + 441 T^{5} + 343 T^{6} \))(\( 1 + 4 T + 22 T^{2} + 55 T^{3} + 154 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 - 4 T + 22 T^{2} - 55 T^{3} + 154 T^{4} - 196 T^{5} + 343 T^{6} \))(\( 1 - 8 T + 45 T^{2} - 168 T^{3} + 513 T^{4} - 1176 T^{5} + 2205 T^{6} - 2744 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 30 T^{2} + 82 T^{3} + 356 T^{4} + 748 T^{5} + 2492 T^{6} + 4018 T^{7} + 10290 T^{8} + 9604 T^{9} + 16807 T^{10} \))(\( 1 - 3 T + 24 T^{2} - 37 T^{3} + 218 T^{4} - 225 T^{5} + 1526 T^{6} - 1813 T^{7} + 8232 T^{8} - 7203 T^{9} + 16807 T^{10} \))(\( 1 + T + 22 T^{2} + 19 T^{3} + 256 T^{4} + 193 T^{5} + 1792 T^{6} + 931 T^{7} + 7546 T^{8} + 2401 T^{9} + 16807 T^{10} \))(\( 1 + 27 T^{2} - 18 T^{3} + 328 T^{4} - 364 T^{5} + 2628 T^{6} - 2548 T^{7} + 16072 T^{8} - 6174 T^{9} + 64827 T^{10} + 117649 T^{12} \))(\( 1 + 6 T + 34 T^{2} + 128 T^{3} + 537 T^{4} + 1726 T^{5} + 5536 T^{6} + 14312 T^{7} + 38752 T^{8} + 84574 T^{9} + 184191 T^{10} + 307328 T^{11} + 571438 T^{12} + 705894 T^{13} + 823543 T^{14} \))(\( 1 + 22 T^{2} - 22 T^{3} + 215 T^{4} - 584 T^{5} + 1716 T^{6} - 5818 T^{7} + 18163 T^{8} - 33546 T^{9} + 161231 T^{10} - 234822 T^{11} + 889987 T^{12} - 1995574 T^{13} + 4120116 T^{14} - 9815288 T^{15} + 25294535 T^{16} - 18117946 T^{17} + 126825622 T^{18} + 282475249 T^{20} \))(\( 1 - 4 T + 27 T^{2} - 89 T^{3} + 344 T^{4} - 827 T^{5} + 2776 T^{6} - 6219 T^{7} + 22918 T^{8} - 60073 T^{9} + 219992 T^{10} - 507624 T^{11} + 1539944 T^{12} - 2943577 T^{13} + 7860874 T^{14} - 14931819 T^{15} + 46656232 T^{16} - 97295723 T^{17} + 283298792 T^{18} - 513067289 T^{19} + 1089547389 T^{20} - 1129900996 T^{21} + 1977326743 T^{22} \))(\( 1 - 9 T + 61 T^{2} - 294 T^{3} + 1285 T^{4} - 4981 T^{5} + 18013 T^{6} - 59784 T^{7} + 184705 T^{8} - 546741 T^{9} + 1539406 T^{10} - 4198661 T^{11} + 10775842 T^{12} - 26790309 T^{13} + 63353815 T^{14} - 143541384 T^{15} + 302744491 T^{16} - 586009669 T^{17} + 1058252755 T^{18} - 1694851494 T^{19} + 2461570027 T^{20} - 2542277241 T^{21} + 1977326743 T^{22} \))(\( 1 + 7 T + 62 T^{2} + 311 T^{3} + 1670 T^{4} + 6459 T^{5} + 26102 T^{6} + 81949 T^{7} + 272366 T^{8} + 727003 T^{9} + 2153837 T^{10} + 5269232 T^{11} + 15199704 T^{12} + 36884624 T^{13} + 105538013 T^{14} + 249362029 T^{15} + 653950766 T^{16} + 1377316843 T^{17} + 3070874198 T^{18} + 5319264237 T^{19} + 9627217670 T^{20} + 12549971777 T^{21} + 17513465438 T^{22} + 13841287201 T^{23} + 13841287201 T^{24} \))(\( 1 + 2 T + 40 T^{2} + 77 T^{3} + 809 T^{4} + 1463 T^{5} + 11504 T^{6} + 19543 T^{7} + 131339 T^{8} + 210719 T^{9} + 1257767 T^{10} + 1902999 T^{11} + 10242054 T^{12} + 14489974 T^{13} + 71694378 T^{14} + 93246951 T^{15} + 431414081 T^{16} + 505936319 T^{17} + 2207414573 T^{18} + 2299214407 T^{19} + 9474038672 T^{20} + 8433903863 T^{21} + 32646068063 T^{22} + 21750594173 T^{23} + 79093069720 T^{24} + 27682574402 T^{25} + 96889010407 T^{26} \))(\( 1 - 2 T + 40 T^{2} - 77 T^{3} + 809 T^{4} - 1463 T^{5} + 11504 T^{6} - 19543 T^{7} + 131339 T^{8} - 210719 T^{9} + 1257767 T^{10} - 1902999 T^{11} + 10242054 T^{12} - 14489974 T^{13} + 71694378 T^{14} - 93246951 T^{15} + 431414081 T^{16} - 505936319 T^{17} + 2207414573 T^{18} - 2299214407 T^{19} + 9474038672 T^{20} - 8433903863 T^{21} + 32646068063 T^{22} - 21750594173 T^{23} + 79093069720 T^{24} - 27682574402 T^{25} + 96889010407 T^{26} \))(\( 1 + 10 T + 95 T^{2} + 620 T^{3} + 3712 T^{4} + 18819 T^{5} + 88477 T^{6} + 377013 T^{7} + 1508110 T^{8} + 5635749 T^{9} + 19965186 T^{10} + 67082093 T^{11} + 215127735 T^{12} + 659188532 T^{13} + 1935454288 T^{14} + 5446862108 T^{15} + 14713597268 T^{16} + 38128034756 T^{17} + 94837260112 T^{18} + 226101666476 T^{19} + 516521691735 T^{20} + 1127448737051 T^{21} + 2348884167714 T^{22} + 4641281638707 T^{23} + 8693954036110 T^{24} + 15213834435891 T^{25} + 24992562605773 T^{26} + 37211311976517 T^{27} + 51378858090112 T^{28} + 60071186452340 T^{29} + 64431191920655 T^{30} + 47475615099430 T^{31} + 33232930569601 T^{32} \))(\( 1 - 10 T + 95 T^{2} - 620 T^{3} + 3712 T^{4} - 18819 T^{5} + 88477 T^{6} - 377013 T^{7} + 1508110 T^{8} - 5635749 T^{9} + 19965186 T^{10} - 67082093 T^{11} + 215127735 T^{12} - 659188532 T^{13} + 1935454288 T^{14} - 5446862108 T^{15} + 14713597268 T^{16} - 38128034756 T^{17} + 94837260112 T^{18} - 226101666476 T^{19} + 516521691735 T^{20} - 1127448737051 T^{21} + 2348884167714 T^{22} - 4641281638707 T^{23} + 8693954036110 T^{24} - 15213834435891 T^{25} + 24992562605773 T^{26} - 37211311976517 T^{27} + 51378858090112 T^{28} - 60071186452340 T^{29} + 64431191920655 T^{30} - 47475615099430 T^{31} + 33232930569601 T^{32} \))(\( 1 + 9 T + 98 T^{2} + 653 T^{3} + 4425 T^{4} + 23993 T^{5} + 126730 T^{6} + 586177 T^{7} + 2609524 T^{8} + 10585878 T^{9} + 41210897 T^{10} + 149169584 T^{11} + 518106942 T^{12} + 1691578070 T^{13} + 5302540687 T^{14} + 15716753696 T^{15} + 44749045436 T^{16} + 120786942132 T^{17} + 313243318052 T^{18} + 770120931104 T^{19} + 1818771455641 T^{20} + 4061478946070 T^{21} + 8707823374194 T^{22} + 17549652388016 T^{23} + 33938945748071 T^{24} + 61025480080278 T^{25} + 105303705953068 T^{26} + 165580494033073 T^{27} + 250586618140390 T^{28} + 332094003813593 T^{29} + 428733871050975 T^{30} + 442879666570397 T^{31} + 465261027974414 T^{32} + 299096375126409 T^{33} + 232630513987207 T^{34} \))(\( 1 - 9 T + 98 T^{2} - 653 T^{3} + 4425 T^{4} - 23993 T^{5} + 126730 T^{6} - 586177 T^{7} + 2609524 T^{8} - 10585878 T^{9} + 41210897 T^{10} - 149169584 T^{11} + 518106942 T^{12} - 1691578070 T^{13} + 5302540687 T^{14} - 15716753696 T^{15} + 44749045436 T^{16} - 120786942132 T^{17} + 313243318052 T^{18} - 770120931104 T^{19} + 1818771455641 T^{20} - 4061478946070 T^{21} + 8707823374194 T^{22} - 17549652388016 T^{23} + 33938945748071 T^{24} - 61025480080278 T^{25} + 105303705953068 T^{26} - 165580494033073 T^{27} + 250586618140390 T^{28} - 332094003813593 T^{29} + 428733871050975 T^{30} - 442879666570397 T^{31} + 465261027974414 T^{32} - 299096375126409 T^{33} + 232630513987207 T^{34} \))(\( 1 + 12 T + 122 T^{2} + 882 T^{3} + 5694 T^{4} + 31301 T^{5} + 158192 T^{6} + 721402 T^{7} + 3079413 T^{8} + 12187763 T^{9} + 45713835 T^{10} + 161505275 T^{11} + 545744843 T^{12} + 1755482190 T^{13} + 5439598629 T^{14} + 16165474639 T^{15} + 46519926621 T^{16} + 129003737912 T^{17} + 347402960648 T^{18} + 903026165384 T^{19} + 2279476404429 T^{20} + 5544757801177 T^{21} + 13060476308229 T^{22} + 29504389167330 T^{23} + 64206335034107 T^{24} + 133006538689325 T^{25} + 263531161721835 T^{26} + 491820198311141 T^{27} + 869857953948837 T^{28} + 1426447467053686 T^{29} + 2189580904900592 T^{30} + 3032722914749507 T^{31} + 3861802176802206 T^{32} + 4187349251769726 T^{33} + 4054417529491322 T^{34} + 2791566167846484 T^{35} + 1628413597910449 T^{36} \))(\( 1 - 12 T + 122 T^{2} - 882 T^{3} + 5694 T^{4} - 31301 T^{5} + 158192 T^{6} - 721402 T^{7} + 3079413 T^{8} - 12187763 T^{9} + 45713835 T^{10} - 161505275 T^{11} + 545744843 T^{12} - 1755482190 T^{13} + 5439598629 T^{14} - 16165474639 T^{15} + 46519926621 T^{16} - 129003737912 T^{17} + 347402960648 T^{18} - 903026165384 T^{19} + 2279476404429 T^{20} - 5544757801177 T^{21} + 13060476308229 T^{22} - 29504389167330 T^{23} + 64206335034107 T^{24} - 133006538689325 T^{25} + 263531161721835 T^{26} - 491820198311141 T^{27} + 869857953948837 T^{28} - 1426447467053686 T^{29} + 2189580904900592 T^{30} - 3032722914749507 T^{31} + 3861802176802206 T^{32} - 4187349251769726 T^{33} + 4054417529491322 T^{34} - 2791566167846484 T^{35} + 1628413597910449 T^{36} \))
$11$ (\( 1 - 5 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( 1 + 6 T + 26 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 + 3 T + 33 T^{2} + 63 T^{3} + 363 T^{4} + 363 T^{5} + 1331 T^{6} \))(\( 1 - 9 T + 47 T^{2} - 173 T^{3} + 517 T^{4} - 1089 T^{5} + 1331 T^{6} \))(\( 1 - 9 T + 47 T^{2} - 173 T^{3} + 517 T^{4} - 1089 T^{5} + 1331 T^{6} \))(\( 1 + 4 T + 46 T^{2} + 127 T^{3} + 767 T^{4} + 1397 T^{5} + 5566 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 - 6 T + 51 T^{2} - 221 T^{3} + 1027 T^{4} - 3394 T^{5} + 11297 T^{6} - 26741 T^{7} + 67881 T^{8} - 87846 T^{9} + 161051 T^{10} \))(\( 1 + 6 T + 53 T^{2} + 229 T^{3} + 1149 T^{4} + 3620 T^{5} + 12639 T^{6} + 27709 T^{7} + 70543 T^{8} + 87846 T^{9} + 161051 T^{10} \))(\( 1 - 12 T + 99 T^{2} - 547 T^{3} + 2483 T^{4} - 8880 T^{5} + 27313 T^{6} - 66187 T^{7} + 131769 T^{8} - 175692 T^{9} + 161051 T^{10} \))(\( 1 - 6 T + 45 T^{2} - 192 T^{3} + 884 T^{4} - 3338 T^{5} + 11856 T^{6} - 36718 T^{7} + 106964 T^{8} - 255552 T^{9} + 658845 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T + 44 T^{2} - 152 T^{3} + 1003 T^{4} - 2942 T^{5} + 15240 T^{6} - 37612 T^{7} + 167640 T^{8} - 355982 T^{9} + 1334993 T^{10} - 2225432 T^{11} + 7086244 T^{12} - 7086244 T^{13} + 19487171 T^{14} \))(\( 1 + 14 T + 123 T^{2} + 733 T^{3} + 3500 T^{4} + 13412 T^{5} + 45222 T^{6} + 133942 T^{7} + 398287 T^{8} + 1183794 T^{9} + 3909497 T^{10} + 13021734 T^{11} + 48192727 T^{12} + 178276802 T^{13} + 662095302 T^{14} + 2160016012 T^{15} + 6200463500 T^{16} + 14284096343 T^{17} + 26366142363 T^{18} + 33011267674 T^{19} + 25937424601 T^{20} \))(\( 1 - 13 T + 111 T^{2} - 706 T^{3} + 3765 T^{4} - 17712 T^{5} + 76326 T^{6} - 307181 T^{7} + 1163593 T^{8} - 4167635 T^{9} + 14360062 T^{10} - 48029554 T^{11} + 157960682 T^{12} - 504283835 T^{13} + 1548742283 T^{14} - 4497437021 T^{15} + 12292378626 T^{16} - 31377888432 T^{17} + 73369198815 T^{18} - 151337369986 T^{19} + 261732193701 T^{20} - 337186519813 T^{21} + 285311670611 T^{22} \))(\( 1 + 8 T + 78 T^{2} + 463 T^{3} + 2825 T^{4} + 13665 T^{5} + 66374 T^{6} + 278274 T^{7} + 1165581 T^{8} + 4346254 T^{9} + 16137686 T^{10} + 53660586 T^{11} + 177514546 T^{12} + 525896734 T^{13} + 1551388311 T^{14} + 4074209634 T^{15} + 10689599074 T^{16} + 24208381065 T^{17} + 55051258075 T^{18} + 99248161903 T^{19} + 183919919898 T^{20} + 207499396808 T^{21} + 285311670611 T^{22} \))(\( 1 - 4 T + 71 T^{2} - 225 T^{3} + 2507 T^{4} - 6884 T^{5} + 60373 T^{6} - 147811 T^{7} + 1106593 T^{8} - 2450548 T^{9} + 16270225 T^{10} - 32735028 T^{11} + 196536584 T^{12} - 360085308 T^{13} + 1968697225 T^{14} - 3261679388 T^{15} + 16201628113 T^{16} - 23805109361 T^{17} + 106954452253 T^{18} - 134149685164 T^{19} + 537397714667 T^{20} - 530538230475 T^{21} + 1841557146671 T^{22} - 1141246682444 T^{23} + 3138428376721 T^{24} \))(\( 1 + 2 T + 84 T^{2} + 128 T^{3} + 3223 T^{4} + 2700 T^{5} + 73429 T^{6} - 11762 T^{7} + 1086233 T^{8} - 1868999 T^{9} + 11050379 T^{10} - 47175125 T^{11} + 92716929 T^{12} - 661783874 T^{13} + 1019886219 T^{14} - 5708190125 T^{15} + 14708054449 T^{16} - 27364014359 T^{17} + 174938910883 T^{18} - 20837100482 T^{19} + 1430923479359 T^{20} + 578768978700 T^{21} + 7599665408093 T^{22} + 3319990348928 T^{23} + 23966180331324 T^{24} + 6276856753442 T^{25} + 34522712143931 T^{26} \))(\( 1 + 2 T + 84 T^{2} + 128 T^{3} + 3223 T^{4} + 2700 T^{5} + 73429 T^{6} - 11762 T^{7} + 1086233 T^{8} - 1868999 T^{9} + 11050379 T^{10} - 47175125 T^{11} + 92716929 T^{12} - 661783874 T^{13} + 1019886219 T^{14} - 5708190125 T^{15} + 14708054449 T^{16} - 27364014359 T^{17} + 174938910883 T^{18} - 20837100482 T^{19} + 1430923479359 T^{20} + 578768978700 T^{21} + 7599665408093 T^{22} + 3319990348928 T^{23} + 23966180331324 T^{24} + 6276856753442 T^{25} + 34522712143931 T^{26} \))(\( 1 + 3 T + 76 T^{2} + 234 T^{3} + 3019 T^{4} + 9417 T^{5} + 83288 T^{6} + 262327 T^{7} + 1788131 T^{8} + 5674697 T^{9} + 31753645 T^{10} + 100681548 T^{11} + 482676985 T^{12} + 1505714587 T^{13} + 6403273354 T^{14} + 19250287834 T^{15} + 74896111571 T^{16} + 211753166174 T^{17} + 774796075834 T^{18} + 2004106115297 T^{19} + 7066873737385 T^{20} + 16214863986948 T^{21} + 56253519089845 T^{22} + 110583790812187 T^{23} + 383301760241411 T^{24} + 618553343936957 T^{25} + 2160276220168088 T^{26} + 2686780002143787 T^{27} + 9474915269320699 T^{28} + 8078314641679854 T^{29} + 28860987352326316 T^{30} + 12531744508246953 T^{31} + 45949729863572161 T^{32} \))(\( 1 + 3 T + 76 T^{2} + 234 T^{3} + 3019 T^{4} + 9417 T^{5} + 83288 T^{6} + 262327 T^{7} + 1788131 T^{8} + 5674697 T^{9} + 31753645 T^{10} + 100681548 T^{11} + 482676985 T^{12} + 1505714587 T^{13} + 6403273354 T^{14} + 19250287834 T^{15} + 74896111571 T^{16} + 211753166174 T^{17} + 774796075834 T^{18} + 2004106115297 T^{19} + 7066873737385 T^{20} + 16214863986948 T^{21} + 56253519089845 T^{22} + 110583790812187 T^{23} + 383301760241411 T^{24} + 618553343936957 T^{25} + 2160276220168088 T^{26} + 2686780002143787 T^{27} + 9474915269320699 T^{28} + 8078314641679854 T^{29} + 28860987352326316 T^{30} + 12531744508246953 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 7 T + 101 T^{2} - 557 T^{3} + 4883 T^{4} - 23255 T^{5} + 157827 T^{6} - 679098 T^{7} + 3888933 T^{8} - 15471028 T^{9} + 77870524 T^{10} - 289581907 T^{11} + 1311579356 T^{12} - 4581740071 T^{13} + 18975914511 T^{14} - 62322518101 T^{15} + 238736651717 T^{16} - 735191190258 T^{17} + 2626103168887 T^{18} - 7541024690221 T^{19} + 25256942214141 T^{20} - 67081256379511 T^{21} + 211231166863156 T^{22} - 513012012746827 T^{23} + 1517476217047604 T^{24} - 3316352249999668 T^{25} + 9169900587803703 T^{26} - 17614053171689898 T^{27} + 45029885037522297 T^{28} - 72984151900646855 T^{29} + 168574403398815073 T^{30} - 211520657305865237 T^{31} + 421902065110980751 T^{32} - 321648109045005127 T^{33} + 505447028499293771 T^{34} \))(\( 1 - 7 T + 101 T^{2} - 557 T^{3} + 4883 T^{4} - 23255 T^{5} + 157827 T^{6} - 679098 T^{7} + 3888933 T^{8} - 15471028 T^{9} + 77870524 T^{10} - 289581907 T^{11} + 1311579356 T^{12} - 4581740071 T^{13} + 18975914511 T^{14} - 62322518101 T^{15} + 238736651717 T^{16} - 735191190258 T^{17} + 2626103168887 T^{18} - 7541024690221 T^{19} + 25256942214141 T^{20} - 67081256379511 T^{21} + 211231166863156 T^{22} - 513012012746827 T^{23} + 1517476217047604 T^{24} - 3316352249999668 T^{25} + 9169900587803703 T^{26} - 17614053171689898 T^{27} + 45029885037522297 T^{28} - 72984151900646855 T^{29} + 168574403398815073 T^{30} - 211520657305865237 T^{31} + 421902065110980751 T^{32} - 321648109045005127 T^{33} + 505447028499293771 T^{34} \))(\( 1 + 3 T + 78 T^{2} + 272 T^{3} + 3342 T^{4} + 12056 T^{5} + 102000 T^{6} + 358053 T^{7} + 2427776 T^{8} + 8072588 T^{9} + 47259143 T^{10} + 147781897 T^{11} + 778173438 T^{12} + 2291922542 T^{13} + 11151196035 T^{14} + 31054721586 T^{15} + 142301099900 T^{16} + 376470624533 T^{17} + 1641837441748 T^{18} + 4141176869863 T^{19} + 17218433087900 T^{20} + 41333834430966 T^{21} + 163264661148435 T^{22} + 369116417311642 T^{23} + 1378581713996718 T^{24} + 2879851097543387 T^{25} + 10130417010498983 T^{26} + 19034740234994308 T^{27} + 62970256948117376 T^{28} + 102156699597280383 T^{29} + 320119694425542000 T^{30} + 416205817607232136 T^{31} + 1269123943835191422 T^{32} + 1136211502081057072 T^{33} + 3584078929358628558 T^{34} + 1516341085497881313 T^{35} + 5559917313492231481 T^{36} \))(\( 1 + 3 T + 78 T^{2} + 272 T^{3} + 3342 T^{4} + 12056 T^{5} + 102000 T^{6} + 358053 T^{7} + 2427776 T^{8} + 8072588 T^{9} + 47259143 T^{10} + 147781897 T^{11} + 778173438 T^{12} + 2291922542 T^{13} + 11151196035 T^{14} + 31054721586 T^{15} + 142301099900 T^{16} + 376470624533 T^{17} + 1641837441748 T^{18} + 4141176869863 T^{19} + 17218433087900 T^{20} + 41333834430966 T^{21} + 163264661148435 T^{22} + 369116417311642 T^{23} + 1378581713996718 T^{24} + 2879851097543387 T^{25} + 10130417010498983 T^{26} + 19034740234994308 T^{27} + 62970256948117376 T^{28} + 102156699597280383 T^{29} + 320119694425542000 T^{30} + 416205817607232136 T^{31} + 1269123943835191422 T^{32} + 1136211502081057072 T^{33} + 3584078929358628558 T^{34} + 1516341085497881313 T^{35} + 5559917313492231481 T^{36} \))
$13$ (\( 1 - 2 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( 1 + 12 T + 75 T^{2} + 320 T^{3} + 975 T^{4} + 2028 T^{5} + 2197 T^{6} \))(\( 1 + 4 T + 27 T^{2} + 64 T^{3} + 351 T^{4} + 676 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 27 T^{2} - 64 T^{3} + 351 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - 9 T + 70 T^{2} - 329 T^{3} + 1423 T^{4} - 4277 T^{5} + 11830 T^{6} - 19773 T^{7} + 28561 T^{8} \))(\( 1 + 3 T + 63 T^{2} + 148 T^{3} + 1611 T^{4} + 2836 T^{5} + 20943 T^{6} + 25012 T^{7} + 138411 T^{8} + 85683 T^{9} + 371293 T^{10} \))(\( 1 - 5 T + 47 T^{2} - 190 T^{3} + 1079 T^{4} - 3398 T^{5} + 14027 T^{6} - 32110 T^{7} + 103259 T^{8} - 142805 T^{9} + 371293 T^{10} \))(\( 1 - 5 T + 51 T^{2} - 180 T^{3} + 1169 T^{4} - 3240 T^{5} + 15197 T^{6} - 30420 T^{7} + 112047 T^{8} - 142805 T^{9} + 371293 T^{10} \))(\( 1 - 8 T + 74 T^{2} - 398 T^{3} + 2307 T^{4} - 9262 T^{5} + 39005 T^{6} - 120406 T^{7} + 389883 T^{8} - 874406 T^{9} + 2113514 T^{10} - 2970344 T^{11} + 4826809 T^{12} \))(\( 1 + 6 T + 71 T^{2} + 374 T^{3} + 2401 T^{4} + 10598 T^{5} + 48672 T^{6} + 175594 T^{7} + 632736 T^{8} + 1791062 T^{9} + 5274997 T^{10} + 10681814 T^{11} + 26361803 T^{12} + 28960854 T^{13} + 62748517 T^{14} \))(\( 1 - 3 T + 36 T^{2} - 147 T^{3} + 830 T^{4} - 3898 T^{5} + 16970 T^{6} - 72586 T^{7} + 299121 T^{8} - 1031698 T^{9} + 4371492 T^{10} - 13412074 T^{11} + 50551449 T^{12} - 159471442 T^{13} + 484680170 T^{14} - 1447300114 T^{15} + 4006251470 T^{16} - 9224031999 T^{17} + 29366305956 T^{18} - 31813498119 T^{19} + 137858491849 T^{20} \))(\( 1 - T + 35 T^{2} - 104 T^{3} + 798 T^{4} - 2747 T^{5} + 18010 T^{6} - 47020 T^{7} + 328097 T^{8} - 836892 T^{9} + 4612035 T^{10} - 12807640 T^{11} + 59956455 T^{12} - 141434748 T^{13} + 720829109 T^{14} - 1342938220 T^{15} + 6686986930 T^{16} - 13259244323 T^{17} + 50073316566 T^{18} - 84835994984 T^{19} + 371157478055 T^{20} - 137858491849 T^{21} + 1792160394037 T^{22} \))(\( 1 - T + 47 T^{2} - 70 T^{3} + 1378 T^{4} - 1337 T^{5} + 29978 T^{6} - 16304 T^{7} + 488097 T^{8} - 110606 T^{9} + 7107683 T^{10} + 34476 T^{11} + 92399879 T^{12} - 18692414 T^{13} + 1072349109 T^{14} - 465658544 T^{15} + 11130621554 T^{16} - 6453443633 T^{17} + 86467456426 T^{18} - 57101150470 T^{19} + 498411470531 T^{20} - 137858491849 T^{21} + 1792160394037 T^{22} \))(\( 1 + 13 T + 158 T^{2} + 1253 T^{3} + 8955 T^{4} + 50533 T^{5} + 257550 T^{6} + 1084533 T^{7} + 4143643 T^{8} + 13099282 T^{9} + 39103364 T^{10} + 102585378 T^{11} + 343959826 T^{12} + 1333609914 T^{13} + 6608468516 T^{14} + 28779122554 T^{15} + 118346587723 T^{16} + 402679511169 T^{17} + 1243144657950 T^{18} + 3170870809561 T^{19} + 7304868606555 T^{20} + 13287437714369 T^{21} + 21781641712142 T^{22} + 23298085122481 T^{23} + 23298085122481 T^{24} \))(\( 1 + T + 84 T^{2} + 71 T^{3} + 3525 T^{4} + 4019 T^{5} + 98406 T^{6} + 167285 T^{7} + 2028907 T^{8} + 4852335 T^{9} + 33435701 T^{10} + 100740877 T^{11} + 475727880 T^{12} + 1527172600 T^{13} + 6184462440 T^{14} + 17025208213 T^{15} + 73458235097 T^{16} + 138587539935 T^{17} + 753318966751 T^{18} + 807452743565 T^{19} + 6174830563902 T^{20} + 3278421767699 T^{21} + 37380860289825 T^{22} + 9787952921279 T^{23} + 150541473099108 T^{24} + 23298085122481 T^{25} + 302875106592253 T^{26} \))(\( 1 - T + 84 T^{2} - 71 T^{3} + 3525 T^{4} - 4019 T^{5} + 98406 T^{6} - 167285 T^{7} + 2028907 T^{8} - 4852335 T^{9} + 33435701 T^{10} - 100740877 T^{11} + 475727880 T^{12} - 1527172600 T^{13} + 6184462440 T^{14} - 17025208213 T^{15} + 73458235097 T^{16} - 138587539935 T^{17} + 753318966751 T^{18} - 807452743565 T^{19} + 6174830563902 T^{20} - 3278421767699 T^{21} + 37380860289825 T^{22} - 9787952921279 T^{23} + 150541473099108 T^{24} - 23298085122481 T^{25} + 302875106592253 T^{26} \))(\( 1 + 7 T + 88 T^{2} + 421 T^{3} + 3282 T^{4} + 11946 T^{5} + 72181 T^{6} + 191731 T^{7} + 1047633 T^{8} + 1931206 T^{9} + 12890653 T^{10} + 20827403 T^{11} + 204165914 T^{12} + 481437610 T^{13} + 3912910526 T^{14} + 10089576312 T^{15} + 60005589540 T^{16} + 131164492056 T^{17} + 661281878894 T^{18} + 1057718429170 T^{19} + 5831182669754 T^{20} + 7733068942079 T^{21} + 62220719916277 T^{22} + 121180312521502 T^{23} + 854586422433393 T^{24} + 2033211269284663 T^{25} + 9950763800152669 T^{26} + 21409148067166002 T^{27} + 76464315371982642 T^{28} + 127510419875338513 T^{29} + 346489121941537432 T^{30} + 358301251098635299 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 7 T + 88 T^{2} - 421 T^{3} + 3282 T^{4} - 11946 T^{5} + 72181 T^{6} - 191731 T^{7} + 1047633 T^{8} - 1931206 T^{9} + 12890653 T^{10} - 20827403 T^{11} + 204165914 T^{12} - 481437610 T^{13} + 3912910526 T^{14} - 10089576312 T^{15} + 60005589540 T^{16} - 131164492056 T^{17} + 661281878894 T^{18} - 1057718429170 T^{19} + 5831182669754 T^{20} - 7733068942079 T^{21} + 62220719916277 T^{22} - 121180312521502 T^{23} + 854586422433393 T^{24} - 2033211269284663 T^{25} + 9950763800152669 T^{26} - 21409148067166002 T^{27} + 76464315371982642 T^{28} - 127510419875338513 T^{29} + 346489121941537432 T^{30} - 358301251098635299 T^{31} + 665416609183179841 T^{32} \))(\( 1 + 8 T + 140 T^{2} + 916 T^{3} + 9019 T^{4} + 50451 T^{5} + 365501 T^{6} + 1816654 T^{7} + 10765857 T^{8} + 49110298 T^{9} + 251735040 T^{10} + 1077545154 T^{11} + 4932907538 T^{12} + 20005417725 T^{13} + 83390008446 T^{14} + 320360414188 T^{15} + 1232746851294 T^{16} + 4460885297212 T^{17} + 16025709066822 T^{18} + 54140909997772 T^{19} + 183207848555862 T^{20} + 571374735643725 T^{21} + 1831554038506634 T^{22} + 5201104647233586 T^{23} + 15796000436935680 T^{24} + 40060778796064858 T^{25} + 114166523806307661 T^{26} + 250441180651453246 T^{27} + 655036416180917537 T^{28} + 1175411692514288931 T^{29} + 2731630586355529807 T^{30} + 3606636769300548724 T^{31} + 7166025021972705980 T^{32} + 5323332873465438728 T^{33} + 8650415919381337933 T^{34} \))(\( 1 - 8 T + 140 T^{2} - 916 T^{3} + 9019 T^{4} - 50451 T^{5} + 365501 T^{6} - 1816654 T^{7} + 10765857 T^{8} - 49110298 T^{9} + 251735040 T^{10} - 1077545154 T^{11} + 4932907538 T^{12} - 20005417725 T^{13} + 83390008446 T^{14} - 320360414188 T^{15} + 1232746851294 T^{16} - 4460885297212 T^{17} + 16025709066822 T^{18} - 54140909997772 T^{19} + 183207848555862 T^{20} - 571374735643725 T^{21} + 1831554038506634 T^{22} - 5201104647233586 T^{23} + 15796000436935680 T^{24} - 40060778796064858 T^{25} + 114166523806307661 T^{26} - 250441180651453246 T^{27} + 655036416180917537 T^{28} - 1175411692514288931 T^{29} + 2731630586355529807 T^{30} - 3606636769300548724 T^{31} + 7166025021972705980 T^{32} - 5323332873465438728 T^{33} + 8650415919381337933 T^{34} \))(\( 1 + 7 T + 141 T^{2} + 876 T^{3} + 9867 T^{4} + 55364 T^{5} + 458653 T^{6} + 2348596 T^{7} + 15908200 T^{8} + 74866103 T^{9} + 437562683 T^{10} + 1902663196 T^{11} + 9897785528 T^{12} + 39925415789 T^{13} + 188421662031 T^{14} + 706807129795 T^{15} + 3062820632204 T^{16} + 10690924861350 T^{17} + 42858226584088 T^{18} + 138982023197550 T^{19} + 517616686842476 T^{20} + 1552855264159615 T^{21} + 5381511089267391 T^{22} + 14824027404545177 T^{23} + 47774720266620152 T^{24} + 119389293899480332 T^{25} + 356933322886284443 T^{26} + 793917542322453419 T^{27} + 2193080460032261800 T^{28} + 4209060732793722052 T^{29} + 10685736635681278093 T^{30} + 16768377401373495092 T^{31} + 38850092797694884563 T^{32} + 44838842280343503132 T^{33} + 93823741894828357581 T^{34} + 60552911435669365531 T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 - 7 T + 141 T^{2} - 876 T^{3} + 9867 T^{4} - 55364 T^{5} + 458653 T^{6} - 2348596 T^{7} + 15908200 T^{8} - 74866103 T^{9} + 437562683 T^{10} - 1902663196 T^{11} + 9897785528 T^{12} - 39925415789 T^{13} + 188421662031 T^{14} - 706807129795 T^{15} + 3062820632204 T^{16} - 10690924861350 T^{17} + 42858226584088 T^{18} - 138982023197550 T^{19} + 517616686842476 T^{20} - 1552855264159615 T^{21} + 5381511089267391 T^{22} - 14824027404545177 T^{23} + 47774720266620152 T^{24} - 119389293899480332 T^{25} + 356933322886284443 T^{26} - 793917542322453419 T^{27} + 2193080460032261800 T^{28} - 4209060732793722052 T^{29} + 10685736635681278093 T^{30} - 16768377401373495092 T^{31} + 38850092797694884563 T^{32} - 44838842280343503132 T^{33} + 93823741894828357581 T^{34} - 60552911435669365531 T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 6 T + 23 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 9 T + 69 T^{2} + 315 T^{3} + 1173 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 9 T + 65 T^{2} - 307 T^{3} + 1105 T^{4} - 2601 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 65 T^{2} + 307 T^{3} + 1105 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 47 T^{2} - 200 T^{3} + 1113 T^{4} - 3400 T^{5} + 13583 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 + 10 T + 116 T^{2} + 700 T^{3} + 4430 T^{4} + 17986 T^{5} + 75310 T^{6} + 202300 T^{7} + 569908 T^{8} + 835210 T^{9} + 1419857 T^{10} \))(\( 1 - 2 T + 66 T^{2} - 148 T^{3} + 1940 T^{4} - 3880 T^{5} + 32980 T^{6} - 42772 T^{7} + 324258 T^{8} - 167042 T^{9} + 1419857 T^{10} \))(\( 1 + 6 T + 58 T^{2} + 194 T^{3} + 1106 T^{4} + 2886 T^{5} + 18802 T^{6} + 56066 T^{7} + 284954 T^{8} + 501126 T^{9} + 1419857 T^{10} \))(\( 1 + 4 T + 52 T^{2} + 304 T^{3} + 1653 T^{4} + 8534 T^{5} + 36449 T^{6} + 145078 T^{7} + 477717 T^{8} + 1493552 T^{9} + 4343092 T^{10} + 5679428 T^{11} + 24137569 T^{12} \))(\( 1 - 10 T + 105 T^{2} - 600 T^{3} + 3845 T^{4} - 16864 T^{5} + 88598 T^{6} - 333598 T^{7} + 1506166 T^{8} - 4873696 T^{9} + 18890485 T^{10} - 50112600 T^{11} + 149084985 T^{12} - 241375690 T^{13} + 410338673 T^{14} \))(\( 1 + 8 T + 118 T^{2} + 754 T^{3} + 6811 T^{4} + 36718 T^{5} + 252116 T^{6} + 1174720 T^{7} + 6656759 T^{8} + 26984136 T^{9} + 130474133 T^{10} + 458730312 T^{11} + 1923803351 T^{12} + 5771399360 T^{13} + 21056980436 T^{14} + 52134309326 T^{15} + 164400982459 T^{16} + 309395359442 T^{17} + 823139378038 T^{18} + 948703011976 T^{19} + 2015993900449 T^{20} \))(\( 1 - 7 T + 104 T^{2} - 650 T^{3} + 5737 T^{4} - 32333 T^{5} + 214198 T^{6} - 1090207 T^{7} + 5946905 T^{8} - 27295904 T^{9} + 128067471 T^{10} - 526103238 T^{11} + 2177147007 T^{12} - 7888516256 T^{13} + 29217144265 T^{14} - 91055178847 T^{15} + 304130529686 T^{16} - 780440018477 T^{17} + 2354112967001 T^{18} - 4534242336650 T^{19} + 12333139155688 T^{20} - 14111957303143 T^{21} + 34271896307633 T^{22} \))(\( 1 - 14 T + 153 T^{2} - 1348 T^{3} + 10051 T^{4} - 66828 T^{5} + 402093 T^{6} - 2212318 T^{7} + 11351207 T^{8} - 54246450 T^{9} + 244114008 T^{10} - 1036689806 T^{11} + 4149938136 T^{12} - 15677224050 T^{13} + 55768479991 T^{14} - 184775011678 T^{15} + 570914560701 T^{16} - 1613065461132 T^{17} + 4124314002323 T^{18} - 9403321030468 T^{19} + 18143945104041 T^{20} - 28223914606286 T^{21} + 34271896307633 T^{22} \))(\( 1 - 4 T + 126 T^{2} - 474 T^{3} + 7914 T^{4} - 27556 T^{5} + 328250 T^{6} - 1048990 T^{7} + 10033492 T^{8} - 29272838 T^{9} + 238459635 T^{10} - 630910608 T^{11} + 4521226680 T^{12} - 10725480336 T^{13} + 68914834515 T^{14} - 143817453094 T^{15} + 838007285332 T^{16} - 1489415794430 T^{17} + 7923157024250 T^{18} - 11307292473188 T^{19} + 55206144388074 T^{20} - 56210653459578 T^{21} + 254015231456574 T^{22} - 137087585230532 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 137 T^{2} + 741 T^{3} + 7627 T^{4} + 29758 T^{5} + 247122 T^{6} + 678052 T^{7} + 5454043 T^{8} + 8988615 T^{9} + 91810951 T^{10} + 52084009 T^{11} + 1388558775 T^{12} - 20098094 T^{13} + 23605499175 T^{14} + 15052278601 T^{15} + 451067202263 T^{16} + 750738113415 T^{17} + 7743961131851 T^{18} + 16366526935588 T^{19} + 101403713549106 T^{20} + 207584589929278 T^{21} + 904469734042619 T^{22} + 1493851480232709 T^{23} + 4695249794145721 T^{24} + 4660977897838088 T^{25} + 9904578032905937 T^{26} \))(\( 1 - 8 T + 137 T^{2} - 741 T^{3} + 7627 T^{4} - 29758 T^{5} + 247122 T^{6} - 678052 T^{7} + 5454043 T^{8} - 8988615 T^{9} + 91810951 T^{10} - 52084009 T^{11} + 1388558775 T^{12} + 20098094 T^{13} + 23605499175 T^{14} - 15052278601 T^{15} + 451067202263 T^{16} - 750738113415 T^{17} + 7743961131851 T^{18} - 16366526935588 T^{19} + 101403713549106 T^{20} - 207584589929278 T^{21} + 904469734042619 T^{22} - 1493851480232709 T^{23} + 4695249794145721 T^{24} - 4660977897838088 T^{25} + 9904578032905937 T^{26} \))(\( 1 + 11 T + 172 T^{2} + 1391 T^{3} + 13448 T^{4} + 89494 T^{5} + 676592 T^{6} + 3907731 T^{7} + 25128334 T^{8} + 129776480 T^{9} + 740775344 T^{10} + 3489166372 T^{11} + 18136027411 T^{12} + 78957567485 T^{13} + 379543663520 T^{14} + 1539733555232 T^{15} + 6902442950320 T^{16} + 26175470438944 T^{17} + 109688118757280 T^{18} + 387918529053805 T^{19} + 1514739145394131 T^{20} + 4954117297448804 T^{21} + 17880515979298736 T^{22} + 53252308589811040 T^{23} + 175289162880433294 T^{24} + 463409521211498307 T^{25} + 1364005345092589808 T^{26} + 3067129088155307702 T^{27} + 7835103846265825928 T^{28} + 13777268043772158367 T^{29} + 28960986168216959788 T^{30} + 31486653566607973723 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 11 T + 172 T^{2} - 1391 T^{3} + 13448 T^{4} - 89494 T^{5} + 676592 T^{6} - 3907731 T^{7} + 25128334 T^{8} - 129776480 T^{9} + 740775344 T^{10} - 3489166372 T^{11} + 18136027411 T^{12} - 78957567485 T^{13} + 379543663520 T^{14} - 1539733555232 T^{15} + 6902442950320 T^{16} - 26175470438944 T^{17} + 109688118757280 T^{18} - 387918529053805 T^{19} + 1514739145394131 T^{20} - 4954117297448804 T^{21} + 17880515979298736 T^{22} - 53252308589811040 T^{23} + 175289162880433294 T^{24} - 463409521211498307 T^{25} + 1364005345092589808 T^{26} - 3067129088155307702 T^{27} + 7835103846265825928 T^{28} - 13777268043772158367 T^{29} + 28960986168216959788 T^{30} - 31486653566607973723 T^{31} + 48661191875666868481 T^{32} \))(\( 1 + 7 T + 217 T^{2} + 1240 T^{3} + 21660 T^{4} + 103253 T^{5} + 1347494 T^{6} + 5446619 T^{7} + 59744440 T^{8} + 208031385 T^{9} + 2045529962 T^{10} + 6246842358 T^{11} + 56970673429 T^{12} + 155529527773 T^{13} + 1331136857253 T^{14} + 3303220661819 T^{15} + 26470083647916 T^{16} + 60447196496332 T^{17} + 449991422014572 T^{18} + 954630771265691 T^{19} + 6539875379683989 T^{20} + 12989981689128733 T^{21} + 80890209462879653 T^{22} + 150783588448347702 T^{23} + 839360050188820426 T^{24} + 1451176481875285785 T^{25} + 7084966272102426680 T^{26} + 10980350682069631931 T^{27} + 46181174643157621702 T^{28} + 60157493860684512533 T^{29} + \)\(21\!\cdots\!20\)\( T^{30} + \)\(20\!\cdots\!60\)\( T^{31} + \)\(62\!\cdots\!81\)\( T^{32} + \)\(34\!\cdots\!67\)\( T^{33} + \)\(82\!\cdots\!77\)\( T^{34} \))(\( 1 - 7 T + 217 T^{2} - 1240 T^{3} + 21660 T^{4} - 103253 T^{5} + 1347494 T^{6} - 5446619 T^{7} + 59744440 T^{8} - 208031385 T^{9} + 2045529962 T^{10} - 6246842358 T^{11} + 56970673429 T^{12} - 155529527773 T^{13} + 1331136857253 T^{14} - 3303220661819 T^{15} + 26470083647916 T^{16} - 60447196496332 T^{17} + 449991422014572 T^{18} - 954630771265691 T^{19} + 6539875379683989 T^{20} - 12989981689128733 T^{21} + 80890209462879653 T^{22} - 150783588448347702 T^{23} + 839360050188820426 T^{24} - 1451176481875285785 T^{25} + 7084966272102426680 T^{26} - 10980350682069631931 T^{27} + 46181174643157621702 T^{28} - 60157493860684512533 T^{29} + \)\(21\!\cdots\!20\)\( T^{30} - \)\(20\!\cdots\!60\)\( T^{31} + \)\(62\!\cdots\!81\)\( T^{32} - \)\(34\!\cdots\!67\)\( T^{33} + \)\(82\!\cdots\!77\)\( T^{34} \))(\( 1 + 13 T + 226 T^{2} + 2115 T^{3} + 22453 T^{4} + 171683 T^{5} + 1412208 T^{6} + 9358606 T^{7} + 64986872 T^{8} + 384978684 T^{9} + 2352491648 T^{10} + 12682155451 T^{11} + 69816687625 T^{12} + 346227420885 T^{13} + 1741766585090 T^{14} + 7995015679474 T^{15} + 37076141874169 T^{16} + 157984846124273 T^{17} + 678781743199808 T^{18} + 2685742384112641 T^{19} + 10715005001634841 T^{20} + 39279512033255762 T^{21} + 145474086953301890 T^{22} + 491593427135513445 T^{23} + 1685205114899883625 T^{24} + 5203978838543056523 T^{25} + 16410411118426352768 T^{26} + 45653804632169589948 T^{27} + \)\(13\!\cdots\!28\)\( T^{28} + \)\(32\!\cdots\!98\)\( T^{29} + \)\(82\!\cdots\!88\)\( T^{30} + \)\(17\!\cdots\!71\)\( T^{31} + \)\(37\!\cdots\!37\)\( T^{32} + \)\(60\!\cdots\!95\)\( T^{33} + \)\(10\!\cdots\!06\)\( T^{34} + \)\(10\!\cdots\!01\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 - 13 T + 226 T^{2} - 2115 T^{3} + 22453 T^{4} - 171683 T^{5} + 1412208 T^{6} - 9358606 T^{7} + 64986872 T^{8} - 384978684 T^{9} + 2352491648 T^{10} - 12682155451 T^{11} + 69816687625 T^{12} - 346227420885 T^{13} + 1741766585090 T^{14} - 7995015679474 T^{15} + 37076141874169 T^{16} - 157984846124273 T^{17} + 678781743199808 T^{18} - 2685742384112641 T^{19} + 10715005001634841 T^{20} - 39279512033255762 T^{21} + 145474086953301890 T^{22} - 491593427135513445 T^{23} + 1685205114899883625 T^{24} - 5203978838543056523 T^{25} + 16410411118426352768 T^{26} - 45653804632169589948 T^{27} + \)\(13\!\cdots\!28\)\( T^{28} - \)\(32\!\cdots\!98\)\( T^{29} + \)\(82\!\cdots\!88\)\( T^{30} - \)\(17\!\cdots\!71\)\( T^{31} + \)\(37\!\cdots\!37\)\( T^{32} - \)\(60\!\cdots\!95\)\( T^{33} + \)\(10\!\cdots\!06\)\( T^{34} - \)\(10\!\cdots\!01\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))
$19$ (\( 1 - 3 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 33 T^{2} + 361 T^{4} \))(\( 1 + 8 T + 49 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 3 T + 33 T^{2} + 61 T^{3} + 627 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 + 44 T^{2} - 13 T^{3} + 836 T^{4} + 6859 T^{6} \))(\( 1 + 44 T^{2} - 13 T^{3} + 836 T^{4} + 6859 T^{6} \))(\( 1 + 7 T + 66 T^{2} + 361 T^{3} + 1767 T^{4} + 6859 T^{5} + 23826 T^{6} + 48013 T^{7} + 130321 T^{8} \))(\( 1 - 9 T + 81 T^{2} - 330 T^{3} + 1709 T^{4} - 5126 T^{5} + 32471 T^{6} - 119130 T^{7} + 555579 T^{8} - 1172889 T^{9} + 2476099 T^{10} \))(\( 1 + 18 T + 194 T^{2} + 1456 T^{3} + 8676 T^{4} + 41535 T^{5} + 164844 T^{6} + 525616 T^{7} + 1330646 T^{8} + 2345778 T^{9} + 2476099 T^{10} \))(\( 1 - 2 T + 78 T^{2} - 144 T^{3} + 2732 T^{4} - 3949 T^{5} + 51908 T^{6} - 51984 T^{7} + 535002 T^{8} - 260642 T^{9} + 2476099 T^{10} \))(\( 1 + 4 T + 97 T^{2} + 352 T^{3} + 4159 T^{4} + 12860 T^{5} + 101710 T^{6} + 244340 T^{7} + 1501399 T^{8} + 2414368 T^{9} + 12641137 T^{10} + 9904396 T^{11} + 47045881 T^{12} \))(\( 1 - 8 T + 60 T^{2} - 240 T^{3} + 1066 T^{4} - 3448 T^{5} + 20491 T^{6} - 73696 T^{7} + 389329 T^{8} - 1244728 T^{9} + 7311694 T^{10} - 31277040 T^{11} + 148565940 T^{12} - 376367048 T^{13} + 893871739 T^{14} \))(\( 1 + 19 T + 243 T^{2} + 2232 T^{3} + 16854 T^{4} + 105319 T^{5} + 572728 T^{6} + 2728460 T^{7} + 11996053 T^{8} + 50179284 T^{9} + 215282325 T^{10} + 953406396 T^{11} + 4330575133 T^{12} + 18714507140 T^{13} + 74638485688 T^{14} + 260780270581 T^{15} + 792911278374 T^{16} + 1995121721448 T^{17} + 4127005818963 T^{18} + 6131066257801 T^{19} + 6131066257801 T^{20} \))(\( 1 - 33 T + 618 T^{2} - 8254 T^{3} + 87199 T^{4} - 768020 T^{5} + 5837395 T^{6} - 39150303 T^{7} + 235411639 T^{8} - 1282487715 T^{9} + 6374676162 T^{10} - 29016855942 T^{11} + 121118847078 T^{12} - 462978065115 T^{13} + 1614688431901 T^{14} - 5102106637263 T^{15} + 14453967922105 T^{16} - 36132177525620 T^{17} + 77944721769061 T^{18} - 140182329340414 T^{19} + 199420997227422 T^{20} - 202325186507433 T^{21} + 116490258898219 T^{22} \))(\( 1 + 14 T + 167 T^{2} + 1334 T^{3} + 10059 T^{4} + 62713 T^{5} + 387607 T^{6} + 2112037 T^{7} + 11443457 T^{8} + 55536907 T^{9} + 267767680 T^{10} + 1168831083 T^{11} + 5087585920 T^{12} + 20048823427 T^{13} + 78490671563 T^{14} + 275242773877 T^{15} + 959753305093 T^{16} + 2950388335153 T^{17} + 8991455822601 T^{18} + 22656073096694 T^{19} + 53888845529093 T^{20} + 85834927609214 T^{21} + 116490258898219 T^{22} \))(\( 1 - 14 T + 222 T^{2} - 2176 T^{3} + 20968 T^{4} - 161233 T^{5} + 1184744 T^{6} - 7567216 T^{7} + 45931914 T^{8} - 251492114 T^{9} + 1308721771 T^{10} - 6246635028 T^{11} + 28361055576 T^{12} - 118686065532 T^{13} + 472448559331 T^{14} - 1724984409926 T^{15} + 5985892964394 T^{16} - 18737175970384 T^{17} + 55737325239464 T^{18} - 144121622094187 T^{19} + 356111349843688 T^{20} - 702168430367104 T^{21} + 1361096709231822 T^{22} - 1630863624575066 T^{23} + 2213314919066161 T^{24} \))(\( 1 - T + 118 T^{2} - 87 T^{3} + 7512 T^{4} - 4537 T^{5} + 331494 T^{6} - 170745 T^{7} + 11250022 T^{8} - 5202226 T^{9} + 308456050 T^{10} - 130331631 T^{11} + 7005077701 T^{12} - 2723505077 T^{13} + 133096476319 T^{14} - 47049718791 T^{15} + 2115700046950 T^{16} - 677959294546 T^{17} + 27856168224178 T^{18} - 8032848951345 T^{19} + 296313118248066 T^{20} - 77054425517017 T^{21} + 2424029985715848 T^{22} - 533402764428687 T^{23} + 13745850549989842 T^{24} - 2213314919066161 T^{25} + 42052983462257059 T^{26} \))(\( 1 - T + 118 T^{2} - 87 T^{3} + 7512 T^{4} - 4537 T^{5} + 331494 T^{6} - 170745 T^{7} + 11250022 T^{8} - 5202226 T^{9} + 308456050 T^{10} - 130331631 T^{11} + 7005077701 T^{12} - 2723505077 T^{13} + 133096476319 T^{14} - 47049718791 T^{15} + 2115700046950 T^{16} - 677959294546 T^{17} + 27856168224178 T^{18} - 8032848951345 T^{19} + 296313118248066 T^{20} - 77054425517017 T^{21} + 2424029985715848 T^{22} - 533402764428687 T^{23} + 13745850549989842 T^{24} - 2213314919066161 T^{25} + 42052983462257059 T^{26} \))(\( 1 - 9 T + 186 T^{2} - 1304 T^{3} + 15773 T^{4} - 91075 T^{5} + 838412 T^{6} - 4122224 T^{7} + 32161141 T^{8} - 138059725 T^{9} + 971958807 T^{10} - 3727505616 T^{11} + 24645419841 T^{12} - 86396641366 T^{13} + 547721213388 T^{14} - 1794060199662 T^{15} + 10936616007577 T^{16} - 34087143793578 T^{17} + 197727358033068 T^{18} - 592594563129394 T^{19} + 3211815759098961 T^{20} - 9229672928271984 T^{21} + 45726658371023967 T^{22} - 123407686471611775 T^{23} + 546210765643989781 T^{24} - 1330190972289340496 T^{25} + 5140359523335452012 T^{26} - 10609350329155295425 T^{27} + 34910616218430557453 T^{28} - 54837090434783204936 T^{29} + \)\(14\!\cdots\!06\)\( T^{30} - \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 9 T + 186 T^{2} - 1304 T^{3} + 15773 T^{4} - 91075 T^{5} + 838412 T^{6} - 4122224 T^{7} + 32161141 T^{8} - 138059725 T^{9} + 971958807 T^{10} - 3727505616 T^{11} + 24645419841 T^{12} - 86396641366 T^{13} + 547721213388 T^{14} - 1794060199662 T^{15} + 10936616007577 T^{16} - 34087143793578 T^{17} + 197727358033068 T^{18} - 592594563129394 T^{19} + 3211815759098961 T^{20} - 9229672928271984 T^{21} + 45726658371023967 T^{22} - 123407686471611775 T^{23} + 546210765643989781 T^{24} - 1330190972289340496 T^{25} + 5140359523335452012 T^{26} - 10609350329155295425 T^{27} + 34910616218430557453 T^{28} - 54837090434783204936 T^{29} + \)\(14\!\cdots\!06\)\( T^{30} - \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 4 T + 188 T^{2} - 753 T^{3} + 17779 T^{4} - 70994 T^{5} + 1122096 T^{6} - 4430901 T^{7} + 52970937 T^{8} - 204616604 T^{9} + 1987090681 T^{10} - 7417878228 T^{11} + 61394472614 T^{12} - 218782746965 T^{13} + 1596656189533 T^{14} - 5367430106400 T^{15} + 35390799830975 T^{16} - 110900984898023 T^{17} + 672425196788525 T^{18} - 1937642268410400 T^{19} + 10951464804006847 T^{20} - 28511986367225765 T^{21} + 152018792245052786 T^{22} - 348980616386978868 T^{23} + 1776204202576164259 T^{24} - 3475118993269332764 T^{25} + 17093069709726448923 T^{26} - 27166147612756708701 T^{27} + \)\(13\!\cdots\!24\)\( T^{28} - \)\(15\!\cdots\!34\)\( T^{29} + \)\(74\!\cdots\!61\)\( T^{30} - \)\(60\!\cdots\!13\)\( T^{31} + \)\(28\!\cdots\!12\)\( T^{32} - \)\(11\!\cdots\!24\)\( T^{33} + \)\(54\!\cdots\!39\)\( T^{34} \))(\( 1 - 4 T + 188 T^{2} - 753 T^{3} + 17779 T^{4} - 70994 T^{5} + 1122096 T^{6} - 4430901 T^{7} + 52970937 T^{8} - 204616604 T^{9} + 1987090681 T^{10} - 7417878228 T^{11} + 61394472614 T^{12} - 218782746965 T^{13} + 1596656189533 T^{14} - 5367430106400 T^{15} + 35390799830975 T^{16} - 110900984898023 T^{17} + 672425196788525 T^{18} - 1937642268410400 T^{19} + 10951464804006847 T^{20} - 28511986367225765 T^{21} + 152018792245052786 T^{22} - 348980616386978868 T^{23} + 1776204202576164259 T^{24} - 3475118993269332764 T^{25} + 17093069709726448923 T^{26} - 27166147612756708701 T^{27} + \)\(13\!\cdots\!24\)\( T^{28} - \)\(15\!\cdots\!34\)\( T^{29} + \)\(74\!\cdots\!61\)\( T^{30} - \)\(60\!\cdots\!13\)\( T^{31} + \)\(28\!\cdots\!12\)\( T^{32} - \)\(11\!\cdots\!24\)\( T^{33} + \)\(54\!\cdots\!39\)\( T^{34} \))(\( 1 + T + 147 T^{2} + 247 T^{3} + 10582 T^{4} + 26982 T^{5} + 512075 T^{6} + 1763869 T^{7} + 19405796 T^{8} + 80026906 T^{9} + 628775640 T^{10} + 2778020893 T^{11} + 18060217173 T^{12} + 79102241817 T^{13} + 461591152098 T^{14} + 1933504113262 T^{15} + 10468733808614 T^{16} + 41512337697652 T^{17} + 210897235523355 T^{18} + 788734416255388 T^{19} + 3779212904909654 T^{20} + 13261904712864058 T^{21} + 60155020532563458 T^{22} + 195864981860831883 T^{23} + 849658827955114413 T^{24} + 2483194366604242927 T^{25} + 10678850720585121240 T^{26} + 25823698057516441774 T^{27} + \)\(11\!\cdots\!96\)\( T^{28} + \)\(20\!\cdots\!11\)\( T^{29} + \)\(11\!\cdots\!75\)\( T^{30} + \)\(11\!\cdots\!38\)\( T^{31} + \)\(84\!\cdots\!22\)\( T^{32} + \)\(37\!\cdots\!53\)\( T^{33} + \)\(42\!\cdots\!07\)\( T^{34} + \)\(54\!\cdots\!39\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} \))(\( 1 + T + 147 T^{2} + 247 T^{3} + 10582 T^{4} + 26982 T^{5} + 512075 T^{6} + 1763869 T^{7} + 19405796 T^{8} + 80026906 T^{9} + 628775640 T^{10} + 2778020893 T^{11} + 18060217173 T^{12} + 79102241817 T^{13} + 461591152098 T^{14} + 1933504113262 T^{15} + 10468733808614 T^{16} + 41512337697652 T^{17} + 210897235523355 T^{18} + 788734416255388 T^{19} + 3779212904909654 T^{20} + 13261904712864058 T^{21} + 60155020532563458 T^{22} + 195864981860831883 T^{23} + 849658827955114413 T^{24} + 2483194366604242927 T^{25} + 10678850720585121240 T^{26} + 25823698057516441774 T^{27} + \)\(11\!\cdots\!96\)\( T^{28} + \)\(20\!\cdots\!11\)\( T^{29} + \)\(11\!\cdots\!75\)\( T^{30} + \)\(11\!\cdots\!38\)\( T^{31} + \)\(84\!\cdots\!22\)\( T^{32} + \)\(37\!\cdots\!53\)\( T^{33} + \)\(42\!\cdots\!07\)\( T^{34} + \)\(54\!\cdots\!39\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} \))
$23$ (\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 - 4 T + 30 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 69 T^{2} + 252 T^{3} + 1587 T^{4} + 3174 T^{5} + 12167 T^{6} \))(\( 1 + T + 65 T^{2} + 47 T^{3} + 1495 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - T + 65 T^{2} - 47 T^{3} + 1495 T^{4} - 529 T^{5} + 12167 T^{6} \))(\( 1 - 16 T + 182 T^{2} - 1313 T^{3} + 7485 T^{4} - 30199 T^{5} + 96278 T^{6} - 194672 T^{7} + 279841 T^{8} \))(\( 1 + 12 T + 123 T^{2} + 851 T^{3} + 5287 T^{4} + 26314 T^{5} + 121601 T^{6} + 450179 T^{7} + 1496541 T^{8} + 3358092 T^{9} + 6436343 T^{10} \))(\( 1 + 3 T + 65 T^{2} + 223 T^{3} + 2214 T^{4} + 6971 T^{5} + 50922 T^{6} + 117967 T^{7} + 790855 T^{8} + 839523 T^{9} + 6436343 T^{10} \))(\( 1 - 5 T + 103 T^{2} - 379 T^{3} + 4374 T^{4} - 12119 T^{5} + 100602 T^{6} - 200491 T^{7} + 1253201 T^{8} - 1399205 T^{9} + 6436343 T^{10} \))(\( 1 + 14 T + 169 T^{2} + 1344 T^{3} + 9816 T^{4} + 56322 T^{5} + 300332 T^{6} + 1295406 T^{7} + 5192664 T^{8} + 16352448 T^{9} + 47293129 T^{10} + 90108802 T^{11} + 148035889 T^{12} \))(\( 1 + 6 T + 88 T^{2} + 458 T^{3} + 4255 T^{4} + 18950 T^{5} + 139012 T^{6} + 531476 T^{7} + 3197276 T^{8} + 10024550 T^{9} + 51770585 T^{10} + 128167178 T^{11} + 566398184 T^{12} + 888215334 T^{13} + 3404825447 T^{14} \))(\( 1 + 4 T + 102 T^{2} + 585 T^{3} + 5836 T^{4} + 37109 T^{5} + 252606 T^{6} + 1458545 T^{7} + 8692611 T^{8} + 41863633 T^{9} + 230169432 T^{10} + 962863559 T^{11} + 4598391219 T^{12} + 17746117015 T^{13} + 70689515646 T^{14} + 238846252387 T^{15} + 863937448204 T^{16} + 1991822886495 T^{17} + 7987720498662 T^{18} + 7204610645852 T^{19} + 41426511213649 T^{20} \))(\( 1 - 15 T + 213 T^{2} - 1779 T^{3} + 14925 T^{4} - 91176 T^{5} + 608039 T^{6} - 3209714 T^{7} + 19726106 T^{8} - 97938761 T^{9} + 560209484 T^{10} - 2533783926 T^{11} + 12884818132 T^{12} - 51809604569 T^{13} + 240007531702 T^{14} - 898209575474 T^{15} + 3913547561377 T^{16} - 13497320215464 T^{17} + 50817019796475 T^{18} - 139315242814899 T^{19} + 383645516891619 T^{20} - 621397668204735 T^{21} + 952809757913927 T^{22} \))(\( 1 - 29 T + 481 T^{2} - 5675 T^{3} + 51691 T^{4} - 376918 T^{5} + 2219111 T^{6} - 10324702 T^{7} + 35021262 T^{8} - 58997437 T^{9} - 192604030 T^{10} + 1842054578 T^{11} - 4429892690 T^{12} - 31209644173 T^{13} + 426103694754 T^{14} - 2889274932382 T^{15} + 14282959551073 T^{16} - 55797391210102 T^{17} + 175998832180877 T^{18} - 444414841469675 T^{19} + 866354430163703 T^{20} - 1201368825195821 T^{21} + 952809757913927 T^{22} \))(\( 1 + 11 T + 178 T^{2} + 1364 T^{3} + 12608 T^{4} + 74337 T^{5} + 502410 T^{6} + 2480470 T^{7} + 13932815 T^{8} + 64351423 T^{9} + 332804068 T^{10} + 1551872265 T^{11} + 7732345888 T^{12} + 35693062095 T^{13} + 176053351972 T^{14} + 782963763641 T^{15} + 3898972882415 T^{16} + 15965155721210 T^{17} + 74374710992490 T^{18} + 253104509253639 T^{19} + 987344902422848 T^{20} + 2456772230235532 T^{21} + 7373918996029522 T^{22} + 10480907337053197 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 28 T + 547 T^{2} + 7804 T^{3} + 92782 T^{4} + 935763 T^{5} + 8339316 T^{6} + 66320236 T^{7} + 479730513 T^{8} + 3175209405 T^{9} + 19438798479 T^{10} + 110428926190 T^{11} + 585767001510 T^{12} + 2902633782268 T^{13} + 13472641034730 T^{14} + 58416901954510 T^{15} + 236511861093993 T^{16} + 888553775104605 T^{17} + 3087710129233959 T^{18} + 9817775094949804 T^{19} + 28393915327374252 T^{20} + 73280522519504403 T^{21} + 167114546235860066 T^{22} + 323292493511316796 T^{23} + 521186937578918069 T^{24} + 613609484096568988 T^{25} + 504036361936467383 T^{26} \))(\( 1 - 28 T + 547 T^{2} - 7804 T^{3} + 92782 T^{4} - 935763 T^{5} + 8339316 T^{6} - 66320236 T^{7} + 479730513 T^{8} - 3175209405 T^{9} + 19438798479 T^{10} - 110428926190 T^{11} + 585767001510 T^{12} - 2902633782268 T^{13} + 13472641034730 T^{14} - 58416901954510 T^{15} + 236511861093993 T^{16} - 888553775104605 T^{17} + 3087710129233959 T^{18} - 9817775094949804 T^{19} + 28393915327374252 T^{20} - 73280522519504403 T^{21} + 167114546235860066 T^{22} - 323292493511316796 T^{23} + 521186937578918069 T^{24} - 613609484096568988 T^{25} + 504036361936467383 T^{26} \))(\( 1 + 37 T + 818 T^{2} + 13216 T^{3} + 173536 T^{4} + 1942733 T^{5} + 19187465 T^{6} + 170569696 T^{7} + 1386235261 T^{8} + 10403595401 T^{9} + 72693942294 T^{10} + 475504203740 T^{11} + 2925133586089 T^{12} + 16973401649787 T^{13} + 93134847781035 T^{14} + 483921150558522 T^{15} + 2383521169776986 T^{16} + 11130186462846006 T^{17} + 49268334476167515 T^{18} + 206515377872958429 T^{19} + 818572307864731849 T^{20} + 3060508153212522820 T^{21} + 10761312372406989366 T^{22} + 35422426361616969247 T^{23} + \)\(10\!\cdots\!41\)\( T^{24} + \)\(30\!\cdots\!48\)\( T^{25} + \)\(79\!\cdots\!85\)\( T^{26} + \)\(18\!\cdots\!91\)\( T^{27} + \)\(38\!\cdots\!56\)\( T^{28} + \)\(66\!\cdots\!28\)\( T^{29} + \)\(94\!\cdots\!62\)\( T^{30} + \)\(98\!\cdots\!59\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 37 T + 818 T^{2} - 13216 T^{3} + 173536 T^{4} - 1942733 T^{5} + 19187465 T^{6} - 170569696 T^{7} + 1386235261 T^{8} - 10403595401 T^{9} + 72693942294 T^{10} - 475504203740 T^{11} + 2925133586089 T^{12} - 16973401649787 T^{13} + 93134847781035 T^{14} - 483921150558522 T^{15} + 2383521169776986 T^{16} - 11130186462846006 T^{17} + 49268334476167515 T^{18} - 206515377872958429 T^{19} + 818572307864731849 T^{20} - 3060508153212522820 T^{21} + 10761312372406989366 T^{22} - 35422426361616969247 T^{23} + \)\(10\!\cdots\!41\)\( T^{24} - \)\(30\!\cdots\!48\)\( T^{25} + \)\(79\!\cdots\!85\)\( T^{26} - \)\(18\!\cdots\!91\)\( T^{27} + \)\(38\!\cdots\!56\)\( T^{28} - \)\(66\!\cdots\!28\)\( T^{29} + \)\(94\!\cdots\!62\)\( T^{30} - \)\(98\!\cdots\!59\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 25 T + 503 T^{2} + 7245 T^{3} + 90830 T^{4} + 967375 T^{5} + 9339027 T^{6} + 81094823 T^{7} + 653368520 T^{8} + 4866502413 T^{9} + 34111820551 T^{10} + 224422853081 T^{11} + 1401640740795 T^{12} + 8288519701111 T^{13} + 46772792385016 T^{14} + 251139962504747 T^{15} + 1290458689925887 T^{16} + 6323512473092664 T^{17} + 29680549868295401 T^{18} + 132853040165011163 T^{19} + 569084564948489672 T^{20} + 2319467641678603351 T^{21} + 9021440570530712685 T^{22} + 33222636567762224009 T^{23} + \)\(11\!\cdots\!97\)\( T^{24} + \)\(38\!\cdots\!53\)\( T^{25} + \)\(11\!\cdots\!60\)\( T^{26} + \)\(33\!\cdots\!27\)\( T^{27} + \)\(88\!\cdots\!29\)\( T^{28} + \)\(21\!\cdots\!75\)\( T^{29} + \)\(45\!\cdots\!90\)\( T^{30} + \)\(83\!\cdots\!05\)\( T^{31} + \)\(13\!\cdots\!21\)\( T^{32} + \)\(15\!\cdots\!25\)\( T^{33} + \)\(14\!\cdots\!03\)\( T^{34} \))(\( 1 - 25 T + 503 T^{2} - 7245 T^{3} + 90830 T^{4} - 967375 T^{5} + 9339027 T^{6} - 81094823 T^{7} + 653368520 T^{8} - 4866502413 T^{9} + 34111820551 T^{10} - 224422853081 T^{11} + 1401640740795 T^{12} - 8288519701111 T^{13} + 46772792385016 T^{14} - 251139962504747 T^{15} + 1290458689925887 T^{16} - 6323512473092664 T^{17} + 29680549868295401 T^{18} - 132853040165011163 T^{19} + 569084564948489672 T^{20} - 2319467641678603351 T^{21} + 9021440570530712685 T^{22} - 33222636567762224009 T^{23} + \)\(11\!\cdots\!97\)\( T^{24} - \)\(38\!\cdots\!53\)\( T^{25} + \)\(11\!\cdots\!60\)\( T^{26} - \)\(33\!\cdots\!27\)\( T^{27} + \)\(88\!\cdots\!29\)\( T^{28} - \)\(21\!\cdots\!75\)\( T^{29} + \)\(45\!\cdots\!90\)\( T^{30} - \)\(83\!\cdots\!05\)\( T^{31} + \)\(13\!\cdots\!21\)\( T^{32} - \)\(15\!\cdots\!25\)\( T^{33} + \)\(14\!\cdots\!03\)\( T^{34} \))(\( 1 + 31 T + 638 T^{2} + 9848 T^{3} + 126585 T^{4} + 1404112 T^{5} + 13880877 T^{6} + 124362992 T^{7} + 1025328103 T^{8} + 7852787344 T^{9} + 56355374085 T^{10} + 381140085872 T^{11} + 2442129914642 T^{12} + 14877381238058 T^{13} + 86454843830447 T^{14} + 480257565899730 T^{15} + 2555244239267989 T^{16} + 13035025030858385 T^{17} + 63812378622434130 T^{18} + 299805575709742855 T^{19} + 1351724202572766181 T^{20} + 5843293804302014910 T^{21} + 24193609952356118927 T^{22} + 95755928589905941894 T^{23} + \)\(36\!\cdots\!38\)\( T^{24} + \)\(12\!\cdots\!84\)\( T^{25} + \)\(44\!\cdots\!85\)\( T^{26} + \)\(14\!\cdots\!72\)\( T^{27} + \)\(42\!\cdots\!47\)\( T^{28} + \)\(11\!\cdots\!84\)\( T^{29} + \)\(30\!\cdots\!17\)\( T^{30} + \)\(70\!\cdots\!96\)\( T^{31} + \)\(14\!\cdots\!65\)\( T^{32} + \)\(26\!\cdots\!36\)\( T^{33} + \)\(39\!\cdots\!18\)\( T^{34} + \)\(43\!\cdots\!93\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - 31 T + 638 T^{2} - 9848 T^{3} + 126585 T^{4} - 1404112 T^{5} + 13880877 T^{6} - 124362992 T^{7} + 1025328103 T^{8} - 7852787344 T^{9} + 56355374085 T^{10} - 381140085872 T^{11} + 2442129914642 T^{12} - 14877381238058 T^{13} + 86454843830447 T^{14} - 480257565899730 T^{15} + 2555244239267989 T^{16} - 13035025030858385 T^{17} + 63812378622434130 T^{18} - 299805575709742855 T^{19} + 1351724202572766181 T^{20} - 5843293804302014910 T^{21} + 24193609952356118927 T^{22} - 95755928589905941894 T^{23} + \)\(36\!\cdots\!38\)\( T^{24} - \)\(12\!\cdots\!84\)\( T^{25} + \)\(44\!\cdots\!85\)\( T^{26} - \)\(14\!\cdots\!72\)\( T^{27} + \)\(42\!\cdots\!47\)\( T^{28} - \)\(11\!\cdots\!84\)\( T^{29} + \)\(30\!\cdots\!17\)\( T^{30} - \)\(70\!\cdots\!96\)\( T^{31} + \)\(14\!\cdots\!65\)\( T^{32} - \)\(26\!\cdots\!36\)\( T^{33} + \)\(39\!\cdots\!18\)\( T^{34} - \)\(43\!\cdots\!93\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))
$29$ (\( 1 + 9 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 2 T + 54 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 + 2 T + 54 T^{2} + 58 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 159 T^{2} + 981 T^{3} + 4611 T^{4} + 12615 T^{5} + 24389 T^{6} \))(\( 1 - 4 T + 36 T^{2} - 153 T^{3} + 1044 T^{4} - 3364 T^{5} + 24389 T^{6} \))(\( 1 - 4 T + 36 T^{2} - 153 T^{3} + 1044 T^{4} - 3364 T^{5} + 24389 T^{6} \))(\( 1 - T + 37 T^{2} + 2 T^{3} + 683 T^{4} + 58 T^{5} + 31117 T^{6} - 24389 T^{7} + 707281 T^{8} \))(\( 1 + 5 T + 94 T^{2} + 475 T^{3} + 4882 T^{4} + 18154 T^{5} + 141578 T^{6} + 399475 T^{7} + 2292566 T^{8} + 3536405 T^{9} + 20511149 T^{10} \))(\( 1 - 5 T + 128 T^{2} - 495 T^{3} + 6836 T^{4} - 20268 T^{5} + 198244 T^{6} - 416295 T^{7} + 3121792 T^{8} - 3536405 T^{9} + 20511149 T^{10} \))(\( 1 - 3 T + 108 T^{2} - 305 T^{3} + 5594 T^{4} - 12306 T^{5} + 162226 T^{6} - 256505 T^{7} + 2634012 T^{8} - 2121843 T^{9} + 20511149 T^{10} \))(\( 1 - 10 T + 106 T^{2} - 666 T^{3} + 5127 T^{4} - 31284 T^{5} + 196460 T^{6} - 907236 T^{7} + 4311807 T^{8} - 16243074 T^{9} + 74971786 T^{10} - 205111490 T^{11} + 594823321 T^{12} \))(\( 1 + 147 T^{2} + 8 T^{3} + 10421 T^{4} + 672 T^{5} + 456271 T^{6} + 27952 T^{7} + 13231859 T^{8} + 565152 T^{9} + 254157769 T^{10} + 5658248 T^{11} + 3015138903 T^{12} + 17249876309 T^{14} \))(\( 1 + 25 T + 354 T^{2} + 3883 T^{3} + 36135 T^{4} + 290297 T^{5} + 2080670 T^{6} + 13661560 T^{7} + 83417689 T^{8} + 480426862 T^{9} + 2643790469 T^{10} + 13932378998 T^{11} + 70154276449 T^{12} + 333191786840 T^{13} + 1471618358270 T^{14} + 5954325021253 T^{15} + 21493940704335 T^{16} + 66981269707847 T^{17} + 177087230188194 T^{18} + 362678649396725 T^{19} + 420707233300201 T^{20} \))(\( 1 - 14 T + 235 T^{2} - 2101 T^{3} + 19752 T^{4} - 122034 T^{5} + 773249 T^{6} - 2991695 T^{7} + 11438596 T^{8} + 5649788 T^{9} - 153891149 T^{10} + 1804092640 T^{11} - 4462843321 T^{12} + 4751471708 T^{13} + 278975917844 T^{14} - 2115969031295 T^{15} + 15860225453101 T^{16} - 72588669154914 T^{17} + 340719556855368 T^{18} - 1051017713631061 T^{19} + 3409179304329215 T^{20} - 5889901266202814 T^{21} + 12200509765705829 T^{22} \))(\( 1 - 5 T + 111 T^{2} - 184 T^{3} + 5505 T^{4} + 1766 T^{5} + 248417 T^{6} + 188273 T^{7} + 10010395 T^{8} + 13092992 T^{9} + 306210694 T^{10} + 584680550 T^{11} + 8880110126 T^{12} + 11011206272 T^{13} + 244143523655 T^{14} + 133161915713 T^{15} + 5095318101133 T^{16} + 1050457984886 T^{17} + 94960569081045 T^{18} - 92045339984824 T^{19} + 1610293203321459 T^{20} - 2103536166501005 T^{21} + 12200509765705829 T^{22} \))(\( 1 + 7 T + 238 T^{2} + 1243 T^{3} + 25346 T^{4} + 100106 T^{5} + 1659740 T^{6} + 4890787 T^{7} + 77218550 T^{8} + 167498073 T^{9} + 2819727445 T^{10} + 4770412802 T^{11} + 87344460556 T^{12} + 138341971258 T^{13} + 2371390781245 T^{14} + 4085110502397 T^{15} + 54615213262550 T^{16} + 100315660884263 T^{17} + 987252058796540 T^{18} + 1726816117788754 T^{19} + 12679245582909506 T^{20} + 18032382448005167 T^{21} + 100128321525447838 T^{22} + 85403568359940803 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 23 T + 477 T^{2} - 6519 T^{3} + 80835 T^{4} - 807354 T^{5} + 7455030 T^{6} - 59430598 T^{7} + 445956368 T^{8} - 2997788779 T^{9} + 19333310219 T^{10} - 114678442166 T^{11} + 664845526002 T^{12} - 3605993533994 T^{13} + 19280520254058 T^{14} - 96444569861606 T^{15} + 471520102931191 T^{16} - 2120279045399899 T^{17} + 9147077511546832 T^{18} - 35350705671375958 T^{19} + 128598345379884270 T^{20} - 403875942489715194 T^{21} + 1172685144959370615 T^{22} - 2742590453884010319 T^{23} + 5819643158241680433 T^{24} - 8137740013725787943 T^{25} + 10260628712958602189 T^{26} \))(\( 1 - 23 T + 477 T^{2} - 6519 T^{3} + 80835 T^{4} - 807354 T^{5} + 7455030 T^{6} - 59430598 T^{7} + 445956368 T^{8} - 2997788779 T^{9} + 19333310219 T^{10} - 114678442166 T^{11} + 664845526002 T^{12} - 3605993533994 T^{13} + 19280520254058 T^{14} - 96444569861606 T^{15} + 471520102931191 T^{16} - 2120279045399899 T^{17} + 9147077511546832 T^{18} - 35350705671375958 T^{19} + 128598345379884270 T^{20} - 403875942489715194 T^{21} + 1172685144959370615 T^{22} - 2742590453884010319 T^{23} + 5819643158241680433 T^{24} - 8137740013725787943 T^{25} + 10260628712958602189 T^{26} \))(\( 1 + 23 T + 464 T^{2} + 6327 T^{3} + 77257 T^{4} + 786175 T^{5} + 7365253 T^{6} + 62112698 T^{7} + 491830088 T^{8} + 3634364368 T^{9} + 25522619258 T^{10} + 170141757734 T^{11} + 1087350536960 T^{12} + 6652664302801 T^{13} + 39282494165553 T^{14} + 222834003817116 T^{15} + 1223917450181377 T^{16} + 6462186110696364 T^{17} + 33036577593230073 T^{18} + 162251829681013589 T^{19} + 769062375131605760 T^{20} + 3489802944003976366 T^{21} + 15181449147662115818 T^{22} + 62692335809836957712 T^{23} + \)\(24\!\cdots\!68\)\( T^{24} + \)\(90\!\cdots\!62\)\( T^{25} + \)\(30\!\cdots\!53\)\( T^{26} + \)\(95\!\cdots\!75\)\( T^{27} + \)\(27\!\cdots\!37\)\( T^{28} + \)\(64\!\cdots\!03\)\( T^{29} + \)\(13\!\cdots\!84\)\( T^{30} + \)\(19\!\cdots\!27\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 23 T + 464 T^{2} + 6327 T^{3} + 77257 T^{4} + 786175 T^{5} + 7365253 T^{6} + 62112698 T^{7} + 491830088 T^{8} + 3634364368 T^{9} + 25522619258 T^{10} + 170141757734 T^{11} + 1087350536960 T^{12} + 6652664302801 T^{13} + 39282494165553 T^{14} + 222834003817116 T^{15} + 1223917450181377 T^{16} + 6462186110696364 T^{17} + 33036577593230073 T^{18} + 162251829681013589 T^{19} + 769062375131605760 T^{20} + 3489802944003976366 T^{21} + 15181449147662115818 T^{22} + 62692335809836957712 T^{23} + \)\(24\!\cdots\!68\)\( T^{24} + \)\(90\!\cdots\!62\)\( T^{25} + \)\(30\!\cdots\!53\)\( T^{26} + \)\(95\!\cdots\!75\)\( T^{27} + \)\(27\!\cdots\!37\)\( T^{28} + \)\(64\!\cdots\!03\)\( T^{29} + \)\(13\!\cdots\!84\)\( T^{30} + \)\(19\!\cdots\!27\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 11 T + 347 T^{2} - 2926 T^{3} + 52911 T^{4} - 355364 T^{5} + 4865432 T^{6} - 26455205 T^{7} + 311118665 T^{8} - 1371863674 T^{9} + 15138360478 T^{10} - 53698080482 T^{11} + 600214321562 T^{12} - 1702363374665 T^{13} + 20541514886759 T^{14} - 47849356419021 T^{15} + 637131040887710 T^{16} - 1343023230851634 T^{17} + 18476800185743590 T^{18} - 40241308748396661 T^{19} + 500987006573165251 T^{20} - 1204049269996435865 T^{21} + 12311085381492094738 T^{22} - 31940870563628520722 T^{23} + \)\(26\!\cdots\!02\)\( T^{24} - \)\(68\!\cdots\!14\)\( T^{25} + \)\(45\!\cdots\!85\)\( T^{26} - \)\(11\!\cdots\!05\)\( T^{27} + \)\(59\!\cdots\!28\)\( T^{28} - \)\(12\!\cdots\!24\)\( T^{29} + \)\(54\!\cdots\!79\)\( T^{30} - \)\(87\!\cdots\!06\)\( T^{31} + \)\(29\!\cdots\!03\)\( T^{32} - \)\(27\!\cdots\!31\)\( T^{33} + \)\(72\!\cdots\!09\)\( T^{34} \))(\( 1 - 11 T + 347 T^{2} - 2926 T^{3} + 52911 T^{4} - 355364 T^{5} + 4865432 T^{6} - 26455205 T^{7} + 311118665 T^{8} - 1371863674 T^{9} + 15138360478 T^{10} - 53698080482 T^{11} + 600214321562 T^{12} - 1702363374665 T^{13} + 20541514886759 T^{14} - 47849356419021 T^{15} + 637131040887710 T^{16} - 1343023230851634 T^{17} + 18476800185743590 T^{18} - 40241308748396661 T^{19} + 500987006573165251 T^{20} - 1204049269996435865 T^{21} + 12311085381492094738 T^{22} - 31940870563628520722 T^{23} + \)\(26\!\cdots\!02\)\( T^{24} - \)\(68\!\cdots\!14\)\( T^{25} + \)\(45\!\cdots\!85\)\( T^{26} - \)\(11\!\cdots\!05\)\( T^{27} + \)\(59\!\cdots\!28\)\( T^{28} - \)\(12\!\cdots\!24\)\( T^{29} + \)\(54\!\cdots\!79\)\( T^{30} - \)\(87\!\cdots\!06\)\( T^{31} + \)\(29\!\cdots\!03\)\( T^{32} - \)\(27\!\cdots\!31\)\( T^{33} + \)\(72\!\cdots\!09\)\( T^{34} \))(\( 1 + 15 T + 382 T^{2} + 4363 T^{3} + 65568 T^{4} + 617512 T^{5} + 7026543 T^{6} + 57092811 T^{7} + 540637581 T^{8} + 3900941499 T^{9} + 32281981755 T^{10} + 210967786026 T^{11} + 1571323435702 T^{12} + 9433592495483 T^{13} + 64465671969503 T^{14} + 359250172331522 T^{15} + 2280830152788723 T^{16} + 11879760386301805 T^{17} + 70566038762971052 T^{18} + 344513051202752345 T^{19} + 1918178158495316043 T^{20} + 8761752452993490058 T^{21} + 45595344936262051343 T^{22} + \)\(19\!\cdots\!67\)\( T^{23} + \)\(93\!\cdots\!42\)\( T^{24} + \)\(36\!\cdots\!34\)\( T^{25} + \)\(16\!\cdots\!55\)\( T^{26} + \)\(56\!\cdots\!31\)\( T^{27} + \)\(22\!\cdots\!81\)\( T^{28} + \)\(69\!\cdots\!19\)\( T^{29} + \)\(24\!\cdots\!63\)\( T^{30} + \)\(63\!\cdots\!68\)\( T^{31} + \)\(19\!\cdots\!08\)\( T^{32} + \)\(37\!\cdots\!87\)\( T^{33} + \)\(95\!\cdots\!22\)\( T^{34} + \)\(10\!\cdots\!35\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 15 T + 382 T^{2} + 4363 T^{3} + 65568 T^{4} + 617512 T^{5} + 7026543 T^{6} + 57092811 T^{7} + 540637581 T^{8} + 3900941499 T^{9} + 32281981755 T^{10} + 210967786026 T^{11} + 1571323435702 T^{12} + 9433592495483 T^{13} + 64465671969503 T^{14} + 359250172331522 T^{15} + 2280830152788723 T^{16} + 11879760386301805 T^{17} + 70566038762971052 T^{18} + 344513051202752345 T^{19} + 1918178158495316043 T^{20} + 8761752452993490058 T^{21} + 45595344936262051343 T^{22} + \)\(19\!\cdots\!67\)\( T^{23} + \)\(93\!\cdots\!42\)\( T^{24} + \)\(36\!\cdots\!34\)\( T^{25} + \)\(16\!\cdots\!55\)\( T^{26} + \)\(56\!\cdots\!31\)\( T^{27} + \)\(22\!\cdots\!81\)\( T^{28} + \)\(69\!\cdots\!19\)\( T^{29} + \)\(24\!\cdots\!63\)\( T^{30} + \)\(63\!\cdots\!68\)\( T^{31} + \)\(19\!\cdots\!08\)\( T^{32} + \)\(37\!\cdots\!87\)\( T^{33} + \)\(95\!\cdots\!22\)\( T^{34} + \)\(10\!\cdots\!35\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))
$31$ (\( 1 - 6 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( 1 + 6 T + 93 T^{2} + 364 T^{3} + 2883 T^{4} + 5766 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 97 T^{2} + 305 T^{3} + 3007 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 97 T^{2} + 305 T^{3} + 3007 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 + 6 T + 98 T^{2} + 487 T^{3} + 4207 T^{4} + 15097 T^{5} + 94178 T^{6} + 178746 T^{7} + 923521 T^{8} \))(\( 1 - 10 T + 133 T^{2} - 977 T^{3} + 7949 T^{4} - 42078 T^{5} + 246419 T^{6} - 938897 T^{7} + 3962203 T^{8} - 9235210 T^{9} + 28629151 T^{10} \))(\( 1 + 22 T + 327 T^{2} + 3289 T^{3} + 26263 T^{4} + 161688 T^{5} + 814153 T^{6} + 3160729 T^{7} + 9741657 T^{8} + 20317462 T^{9} + 28629151 T^{10} \))(\( 1 - 8 T + 131 T^{2} - 701 T^{3} + 6801 T^{4} - 27866 T^{5} + 210831 T^{6} - 673661 T^{7} + 3902621 T^{8} - 7388168 T^{9} + 28629151 T^{10} \))(\( 1 - 12 T + 83 T^{2} - 234 T^{3} + 404 T^{4} - 3002 T^{5} + 31572 T^{6} - 93062 T^{7} + 388244 T^{8} - 6971094 T^{9} + 76652243 T^{10} - 343549812 T^{11} + 887503681 T^{12} \))(\( 1 - 16 T + 234 T^{2} - 2266 T^{3} + 20813 T^{4} - 150880 T^{5} + 1039236 T^{6} - 5926108 T^{7} + 32216316 T^{8} - 144995680 T^{9} + 620040083 T^{10} - 2092698586 T^{11} + 6699221334 T^{12} - 14200058896 T^{13} + 27512614111 T^{14} \))(\( 1 + 2 T + 64 T^{2} - 95 T^{3} + 2880 T^{4} - 5233 T^{5} + 125722 T^{6} - 334645 T^{7} + 4357823 T^{8} - 8555557 T^{9} + 169067788 T^{10} - 265222267 T^{11} + 4187867903 T^{12} - 9969409195 T^{13} + 116106907162 T^{14} - 149816347183 T^{15} + 2556010601280 T^{16} - 2613698340545 T^{17} + 54585026396224 T^{18} + 52879244321342 T^{19} + 819628286980801 T^{20} \))(\( 1 - 36 T + 771 T^{2} - 11847 T^{3} + 146490 T^{4} - 1532362 T^{5} + 14089528 T^{6} - 116033808 T^{7} + 867929739 T^{8} - 5934226258 T^{9} + 37306527435 T^{10} - 216159753938 T^{11} + 1156502350485 T^{12} - 5702791433938 T^{13} + 25856494854549 T^{14} - 107159658397968 T^{15} + 403371224630728 T^{16} - 1359976915624522 T^{17} + 4030322841120390 T^{18} - 10104200120563527 T^{19} + 20384948685877341 T^{20} - 29506618331308836 T^{21} + 25408476896404831 T^{22} \))(\( 1 + 16 T + 261 T^{2} + 2715 T^{3} + 27988 T^{4} + 227156 T^{5} + 1811892 T^{6} + 12280012 T^{7} + 82952375 T^{8} + 496210908 T^{9} + 3009995667 T^{10} + 16550435506 T^{11} + 93309865677 T^{12} + 476858682588 T^{13} + 2471234203625 T^{14} + 11340848962252 T^{15} + 51872929663692 T^{16} + 201601786161236 T^{17} + 770023043738668 T^{18} + 2315599166652315 T^{19} + 6900741383935131 T^{20} + 13114052591692816 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 4 T + 216 T^{2} - 891 T^{3} + 23071 T^{4} - 96317 T^{5} + 1615192 T^{6} - 6735368 T^{7} + 83443547 T^{8} - 342115836 T^{9} + 3412761360 T^{10} - 13394847322 T^{11} + 115429793162 T^{12} - 415240266982 T^{13} + 3279663666960 T^{14} - 10191972870276 T^{15} + 77061867968987 T^{16} - 192827867512568 T^{17} + 1433488845521752 T^{18} - 2649932453329187 T^{19} + 19677049124801311 T^{20} - 23557703345157861 T^{21} + 177039709987853016 T^{22} - 101633907585619324 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 12 T + 211 T^{2} + 2024 T^{3} + 23468 T^{4} + 189040 T^{5} + 1749739 T^{6} + 12486411 T^{7} + 99256496 T^{8} + 638137898 T^{9} + 4509764782 T^{10} + 26384000056 T^{11} + 168318073123 T^{12} + 898626704022 T^{13} + 5217860266813 T^{14} + 25355024053816 T^{15} + 134350402620562 T^{16} + 589333749698858 T^{17} + 2841629211714896 T^{18} + 11081735724978891 T^{19} + 48139893901967029 T^{20} + 161230521717846640 T^{21} + 620485052866627028 T^{22} + 1658927652849141224 T^{23} + 5361188625141419341 T^{24} + 9451953405462597132 T^{25} + 24417546297445042591 T^{26} \))(\( 1 + 12 T + 211 T^{2} + 2024 T^{3} + 23468 T^{4} + 189040 T^{5} + 1749739 T^{6} + 12486411 T^{7} + 99256496 T^{8} + 638137898 T^{9} + 4509764782 T^{10} + 26384000056 T^{11} + 168318073123 T^{12} + 898626704022 T^{13} + 5217860266813 T^{14} + 25355024053816 T^{15} + 134350402620562 T^{16} + 589333749698858 T^{17} + 2841629211714896 T^{18} + 11081735724978891 T^{19} + 48139893901967029 T^{20} + 161230521717846640 T^{21} + 620485052866627028 T^{22} + 1658927652849141224 T^{23} + 5361188625141419341 T^{24} + 9451953405462597132 T^{25} + 24417546297445042591 T^{26} \))(\( 1 - 11 T + 295 T^{2} - 2897 T^{3} + 43729 T^{4} - 384127 T^{5} + 4278449 T^{6} - 33886299 T^{7} + 309406989 T^{8} - 2226518886 T^{9} + 17609181137 T^{10} - 115951738090 T^{11} + 820786887230 T^{12} - 4976624871906 T^{13} + 32165409128241 T^{14} - 180418109023560 T^{15} + 1076300684718686 T^{16} - 5592961379730360 T^{17} + 30910958172239601 T^{18} - 148258631558951646 T^{19} + 758013926881536830 T^{20} - 3319599818491061590 T^{21} + 15628213078483265297 T^{22} - 61257354921371600346 T^{23} + \)\(26\!\cdots\!49\)\( T^{24} - \)\(89\!\cdots\!29\)\( T^{25} + \)\(35\!\cdots\!49\)\( T^{26} - \)\(97\!\cdots\!37\)\( T^{27} + \)\(34\!\cdots\!69\)\( T^{28} - \)\(70\!\cdots\!27\)\( T^{29} + \)\(22\!\cdots\!95\)\( T^{30} - \)\(25\!\cdots\!61\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 11 T + 295 T^{2} - 2897 T^{3} + 43729 T^{4} - 384127 T^{5} + 4278449 T^{6} - 33886299 T^{7} + 309406989 T^{8} - 2226518886 T^{9} + 17609181137 T^{10} - 115951738090 T^{11} + 820786887230 T^{12} - 4976624871906 T^{13} + 32165409128241 T^{14} - 180418109023560 T^{15} + 1076300684718686 T^{16} - 5592961379730360 T^{17} + 30910958172239601 T^{18} - 148258631558951646 T^{19} + 758013926881536830 T^{20} - 3319599818491061590 T^{21} + 15628213078483265297 T^{22} - 61257354921371600346 T^{23} + \)\(26\!\cdots\!49\)\( T^{24} - \)\(89\!\cdots\!29\)\( T^{25} + \)\(35\!\cdots\!49\)\( T^{26} - \)\(97\!\cdots\!37\)\( T^{27} + \)\(34\!\cdots\!69\)\( T^{28} - \)\(70\!\cdots\!27\)\( T^{29} + \)\(22\!\cdots\!95\)\( T^{30} - \)\(25\!\cdots\!61\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 4 T + 337 T^{2} - 1171 T^{3} + 55715 T^{4} - 168161 T^{5} + 6027289 T^{6} - 15851563 T^{7} + 480492553 T^{8} - 1108917456 T^{9} + 30112575008 T^{10} - 61649487635 T^{11} + 1542397327575 T^{12} - 2837829214456 T^{13} + 66108638467657 T^{14} - 110708055110139 T^{15} + 2402651647403919 T^{16} - 3701329390515138 T^{17} + 74482201069521489 T^{18} - 106390440960843579 T^{19} + 1969442448589969687 T^{20} - 2620794873963619576 T^{21} + 44157525993141138825 T^{22} - 54714147207826484435 T^{23} + \)\(82\!\cdots\!88\)\( T^{24} - \)\(94\!\cdots\!96\)\( T^{25} + \)\(12\!\cdots\!63\)\( T^{26} - \)\(12\!\cdots\!63\)\( T^{27} + \)\(15\!\cdots\!59\)\( T^{28} - \)\(13\!\cdots\!21\)\( T^{29} + \)\(13\!\cdots\!65\)\( T^{30} - \)\(88\!\cdots\!91\)\( T^{31} + \)\(79\!\cdots\!87\)\( T^{32} - \)\(29\!\cdots\!24\)\( T^{33} + \)\(22\!\cdots\!11\)\( T^{34} \))(\( 1 - 4 T + 337 T^{2} - 1171 T^{3} + 55715 T^{4} - 168161 T^{5} + 6027289 T^{6} - 15851563 T^{7} + 480492553 T^{8} - 1108917456 T^{9} + 30112575008 T^{10} - 61649487635 T^{11} + 1542397327575 T^{12} - 2837829214456 T^{13} + 66108638467657 T^{14} - 110708055110139 T^{15} + 2402651647403919 T^{16} - 3701329390515138 T^{17} + 74482201069521489 T^{18} - 106390440960843579 T^{19} + 1969442448589969687 T^{20} - 2620794873963619576 T^{21} + 44157525993141138825 T^{22} - 54714147207826484435 T^{23} + \)\(82\!\cdots\!88\)\( T^{24} - \)\(94\!\cdots\!96\)\( T^{25} + \)\(12\!\cdots\!63\)\( T^{26} - \)\(12\!\cdots\!63\)\( T^{27} + \)\(15\!\cdots\!59\)\( T^{28} - \)\(13\!\cdots\!21\)\( T^{29} + \)\(13\!\cdots\!65\)\( T^{30} - \)\(88\!\cdots\!91\)\( T^{31} + \)\(79\!\cdots\!87\)\( T^{32} - \)\(29\!\cdots\!24\)\( T^{33} + \)\(22\!\cdots\!11\)\( T^{34} \))(\( 1 + 3 T + 296 T^{2} + 998 T^{3} + 43519 T^{4} + 164993 T^{5} + 4247039 T^{6} + 17888441 T^{7} + 311111167 T^{8} + 1424335770 T^{9} + 18354908723 T^{10} + 88672198227 T^{11} + 911544476634 T^{12} + 4492995739104 T^{13} + 39117259458382 T^{14} + 190420727593854 T^{15} + 1469429625474825 T^{16} + 6871334085009106 T^{17} + 48548427373006640 T^{18} + 213011356635282286 T^{19} + 1412121870081306825 T^{20} + 5672823895748504514 T^{21} + 36125610572264403022 T^{22} + \)\(12\!\cdots\!04\)\( T^{23} + \)\(80\!\cdots\!54\)\( T^{24} + \)\(24\!\cdots\!97\)\( T^{25} + \)\(15\!\cdots\!43\)\( T^{26} + \)\(37\!\cdots\!70\)\( T^{27} + \)\(25\!\cdots\!67\)\( T^{28} + \)\(45\!\cdots\!71\)\( T^{29} + \)\(33\!\cdots\!79\)\( T^{30} + \)\(40\!\cdots\!63\)\( T^{31} + \)\(32\!\cdots\!99\)\( T^{32} + \)\(23\!\cdots\!98\)\( T^{33} + \)\(21\!\cdots\!76\)\( T^{34} + \)\(67\!\cdots\!33\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( 1 + 3 T + 296 T^{2} + 998 T^{3} + 43519 T^{4} + 164993 T^{5} + 4247039 T^{6} + 17888441 T^{7} + 311111167 T^{8} + 1424335770 T^{9} + 18354908723 T^{10} + 88672198227 T^{11} + 911544476634 T^{12} + 4492995739104 T^{13} + 39117259458382 T^{14} + 190420727593854 T^{15} + 1469429625474825 T^{16} + 6871334085009106 T^{17} + 48548427373006640 T^{18} + 213011356635282286 T^{19} + 1412121870081306825 T^{20} + 5672823895748504514 T^{21} + 36125610572264403022 T^{22} + \)\(12\!\cdots\!04\)\( T^{23} + \)\(80\!\cdots\!54\)\( T^{24} + \)\(24\!\cdots\!97\)\( T^{25} + \)\(15\!\cdots\!43\)\( T^{26} + \)\(37\!\cdots\!70\)\( T^{27} + \)\(25\!\cdots\!67\)\( T^{28} + \)\(45\!\cdots\!71\)\( T^{29} + \)\(33\!\cdots\!79\)\( T^{30} + \)\(40\!\cdots\!63\)\( T^{31} + \)\(32\!\cdots\!99\)\( T^{32} + \)\(23\!\cdots\!98\)\( T^{33} + \)\(21\!\cdots\!76\)\( T^{34} + \)\(67\!\cdots\!33\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))
$37$ (\( 1 + 5 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 12 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 12 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 12 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 2 T - 5 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( ( 1 + T + 37 T^{2} )^{2} \))(\( 1 + 12 T + 147 T^{2} + 896 T^{3} + 5439 T^{4} + 16428 T^{5} + 50653 T^{6} \))(\( 1 + 2 T + 108 T^{2} + 143 T^{3} + 3996 T^{4} + 2738 T^{5} + 50653 T^{6} \))(\( 1 - 2 T + 108 T^{2} - 143 T^{3} + 3996 T^{4} - 2738 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 94 T^{2} - 816 T^{3} + 4639 T^{4} - 30192 T^{5} + 128686 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 225 T^{2} + 1786 T^{3} + 18057 T^{4} + 99334 T^{5} + 668109 T^{6} + 2445034 T^{7} + 11396925 T^{8} + 22489932 T^{9} + 69343957 T^{10} \))(\( 1 - 14 T + 205 T^{2} - 1642 T^{3} + 14001 T^{4} - 80952 T^{5} + 518037 T^{6} - 2247898 T^{7} + 10383865 T^{8} - 26238254 T^{9} + 69343957 T^{10} \))(\( 1 - 8 T + 123 T^{2} - 840 T^{3} + 7685 T^{4} - 41584 T^{5} + 284345 T^{6} - 1149960 T^{7} + 6230319 T^{8} - 14993288 T^{9} + 69343957 T^{10} \))(\( 1 - 12 T + 178 T^{2} - 1450 T^{3} + 13459 T^{4} - 87006 T^{5} + 620629 T^{6} - 3219222 T^{7} + 18425371 T^{8} - 73446850 T^{9} + 333600658 T^{10} - 832127484 T^{11} + 2565726409 T^{12} \))(\( 1 + 10 T + 231 T^{2} + 1718 T^{3} + 23081 T^{4} + 136602 T^{5} + 1342912 T^{6} + 6404082 T^{7} + 49687744 T^{8} + 187008138 T^{9} + 1169121893 T^{10} + 3219808598 T^{11} + 16018454067 T^{12} + 25657264090 T^{13} + 94931877133 T^{14} \))(\( 1 - 10 T + 212 T^{2} - 1954 T^{3} + 22438 T^{4} - 188070 T^{5} + 1578026 T^{6} - 11963070 T^{7} + 82562409 T^{8} - 566896944 T^{9} + 3407042820 T^{10} - 20975186928 T^{11} + 113027937921 T^{12} - 605965384710 T^{13} + 2957474786186 T^{14} - 13041517992990 T^{15} + 57569769165142 T^{16} - 185496887917882 T^{17} + 744645644231252 T^{18} - 1299617397950770 T^{19} + 4808584372417849 T^{20} \))(\( 1 + 2 T + 267 T^{2} + 310 T^{3} + 33830 T^{4} + 13950 T^{5} + 2749378 T^{6} - 459864 T^{7} + 163044217 T^{8} - 82152048 T^{9} + 7532626707 T^{10} - 4291578108 T^{11} + 278707188159 T^{12} - 112466153712 T^{13} + 8258678723701 T^{14} - 861859174104 T^{15} + 190652749808746 T^{16} + 35791883405550 T^{17} + 3211545403409390 T^{18} + 1088868630715510 T^{19} + 34699784525285559 T^{20} + 9617168744835698 T^{21} + 177917621779460413 T^{22} \))(\( 1 + 4 T + 91 T^{2} + 414 T^{3} + 7570 T^{4} + 35442 T^{5} + 495642 T^{6} + 2200868 T^{7} + 24304857 T^{8} + 107933050 T^{9} + 1093293071 T^{10} + 4473345596 T^{11} + 40451843627 T^{12} + 147760345450 T^{13} + 1231113921621 T^{14} + 4124780971748 T^{15} + 34369777535394 T^{16} + 90934475387778 T^{17} + 718634309896810 T^{18} + 1454166493923294 T^{19} + 11826518321352007 T^{20} + 19234337489671396 T^{21} + 177917621779460413 T^{22} \))(\( 1 + 24 T + 402 T^{2} + 4700 T^{3} + 47007 T^{4} + 401200 T^{5} + 3201466 T^{6} + 23376228 T^{7} + 164091835 T^{8} + 1080494884 T^{9} + 7008397092 T^{10} + 43616671108 T^{11} + 270649660298 T^{12} + 1613816830996 T^{13} + 9594495618948 T^{14} + 54730307359252 T^{15} + 307534517575435 T^{16} + 1621000149254196 T^{17} + 8214085863715594 T^{18} + 38086669105759600 T^{19} + 165111121690464447 T^{20} + 610820177036861900 T^{21} + 1933050917711975298 T^{22} + 4270022922707049912 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 19 T + 517 T^{2} + 6960 T^{3} + 110255 T^{4} + 1163399 T^{5} + 13661346 T^{6} + 119238031 T^{7} + 1137881923 T^{8} + 8501465479 T^{9} + 69232201215 T^{10} + 453291681012 T^{11} + 3241182923655 T^{12} + 18853079712292 T^{13} + 119923768175235 T^{14} + 620556311305428 T^{15} + 3506818688143395 T^{16} + 15933115043588119 T^{17} + 78905235139589311 T^{18} + 305932165093860679 T^{19} + 1296897219943401018 T^{20} + 4086415084212237479 T^{21} + 14328931621106214635 T^{22} + 33467747232028229040 T^{23} + 91983410459981033521 T^{24} + \)\(12\!\cdots\!39\)\( T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 - 19 T + 517 T^{2} - 6960 T^{3} + 110255 T^{4} - 1163399 T^{5} + 13661346 T^{6} - 119238031 T^{7} + 1137881923 T^{8} - 8501465479 T^{9} + 69232201215 T^{10} - 453291681012 T^{11} + 3241182923655 T^{12} - 18853079712292 T^{13} + 119923768175235 T^{14} - 620556311305428 T^{15} + 3506818688143395 T^{16} - 15933115043588119 T^{17} + 78905235139589311 T^{18} - 305932165093860679 T^{19} + 1296897219943401018 T^{20} - 4086415084212237479 T^{21} + 14328931621106214635 T^{22} - 33467747232028229040 T^{23} + 91983410459981033521 T^{24} - \)\(12\!\cdots\!39\)\( T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 + 31 T + 730 T^{2} + 12126 T^{3} + 170081 T^{4} + 1981041 T^{5} + 20317332 T^{6} + 182393938 T^{7} + 1473772509 T^{8} + 10697102129 T^{9} + 71038669265 T^{10} + 432994286062 T^{11} + 2472070437903 T^{12} + 13430736571552 T^{13} + 71943984331924 T^{14} + 394115084748004 T^{15} + 2304379883254107 T^{16} + 14582258135676148 T^{17} + 98491314550403956 T^{18} + 680307099558823456 T^{19} + 4633058003970724383 T^{20} + 30025537153929027334 T^{21} + \)\(18\!\cdots\!85\)\( T^{22} + \)\(10\!\cdots\!57\)\( T^{23} + \)\(51\!\cdots\!89\)\( T^{24} + \)\(23\!\cdots\!26\)\( T^{25} + \)\(97\!\cdots\!68\)\( T^{26} + \)\(35\!\cdots\!33\)\( T^{27} + \)\(11\!\cdots\!61\)\( T^{28} + \)\(29\!\cdots\!22\)\( T^{29} + \)\(65\!\cdots\!70\)\( T^{30} + \)\(10\!\cdots\!83\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 31 T + 730 T^{2} - 12126 T^{3} + 170081 T^{4} - 1981041 T^{5} + 20317332 T^{6} - 182393938 T^{7} + 1473772509 T^{8} - 10697102129 T^{9} + 71038669265 T^{10} - 432994286062 T^{11} + 2472070437903 T^{12} - 13430736571552 T^{13} + 71943984331924 T^{14} - 394115084748004 T^{15} + 2304379883254107 T^{16} - 14582258135676148 T^{17} + 98491314550403956 T^{18} - 680307099558823456 T^{19} + 4633058003970724383 T^{20} - 30025537153929027334 T^{21} + \)\(18\!\cdots\!85\)\( T^{22} - \)\(10\!\cdots\!57\)\( T^{23} + \)\(51\!\cdots\!89\)\( T^{24} - \)\(23\!\cdots\!26\)\( T^{25} + \)\(97\!\cdots\!68\)\( T^{26} - \)\(35\!\cdots\!33\)\( T^{27} + \)\(11\!\cdots\!61\)\( T^{28} - \)\(29\!\cdots\!22\)\( T^{29} + \)\(65\!\cdots\!70\)\( T^{30} - \)\(10\!\cdots\!83\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 15 T + 485 T^{2} + 6199 T^{3} + 113079 T^{4} + 1258695 T^{5} + 16947659 T^{6} + 166900801 T^{7} + 1835678697 T^{8} + 16181685443 T^{9} + 152815983128 T^{10} + 1216161897531 T^{11} + 10137107071688 T^{12} + 73263411540868 T^{13} + 547744084631739 T^{14} + 3607070228649288 T^{15} + 24418619841136107 T^{16} + 146638086816733682 T^{17} + 903488934122035959 T^{18} + 4938079143020875272 T^{19} + 27744881118851475567 T^{20} + \)\(13\!\cdots\!48\)\( T^{21} + \)\(70\!\cdots\!16\)\( T^{22} + \)\(31\!\cdots\!79\)\( T^{23} + \)\(14\!\cdots\!24\)\( T^{24} + \)\(56\!\cdots\!03\)\( T^{25} + \)\(23\!\cdots\!69\)\( T^{26} + \)\(80\!\cdots\!49\)\( T^{27} + \)\(30\!\cdots\!67\)\( T^{28} + \)\(82\!\cdots\!95\)\( T^{29} + \)\(27\!\cdots\!63\)\( T^{30} + \)\(55\!\cdots\!11\)\( T^{31} + \)\(16\!\cdots\!05\)\( T^{32} + \)\(18\!\cdots\!15\)\( T^{33} + \)\(45\!\cdots\!17\)\( T^{34} \))(\( 1 - 15 T + 485 T^{2} - 6199 T^{3} + 113079 T^{4} - 1258695 T^{5} + 16947659 T^{6} - 166900801 T^{7} + 1835678697 T^{8} - 16181685443 T^{9} + 152815983128 T^{10} - 1216161897531 T^{11} + 10137107071688 T^{12} - 73263411540868 T^{13} + 547744084631739 T^{14} - 3607070228649288 T^{15} + 24418619841136107 T^{16} - 146638086816733682 T^{17} + 903488934122035959 T^{18} - 4938079143020875272 T^{19} + 27744881118851475567 T^{20} - \)\(13\!\cdots\!48\)\( T^{21} + \)\(70\!\cdots\!16\)\( T^{22} - \)\(31\!\cdots\!79\)\( T^{23} + \)\(14\!\cdots\!24\)\( T^{24} - \)\(56\!\cdots\!03\)\( T^{25} + \)\(23\!\cdots\!69\)\( T^{26} - \)\(80\!\cdots\!49\)\( T^{27} + \)\(30\!\cdots\!67\)\( T^{28} - \)\(82\!\cdots\!95\)\( T^{29} + \)\(27\!\cdots\!63\)\( T^{30} - \)\(55\!\cdots\!11\)\( T^{31} + \)\(16\!\cdots\!05\)\( T^{32} - \)\(18\!\cdots\!15\)\( T^{33} + \)\(45\!\cdots\!17\)\( T^{34} \))(\( 1 + 9 T + 252 T^{2} + 2128 T^{3} + 32230 T^{4} + 243604 T^{5} + 2715572 T^{6} + 17845034 T^{7} + 164965646 T^{8} + 912349458 T^{9} + 7394854807 T^{10} + 31756686938 T^{11} + 235366674202 T^{12} + 547215108815 T^{13} + 4295311583215 T^{14} - 14120991047966 T^{15} - 23116736341634 T^{16} - 1462987068549184 T^{17} - 3795470818145394 T^{18} - 54130521536319808 T^{19} - 31646812051696946 T^{20} - 715270559552621798 T^{21} + 8050105452109807615 T^{22} + 37946060975417680955 T^{23} + \)\(60\!\cdots\!18\)\( T^{24} + \)\(30\!\cdots\!54\)\( T^{25} + \)\(25\!\cdots\!47\)\( T^{26} + \)\(11\!\cdots\!66\)\( T^{27} + \)\(79\!\cdots\!54\)\( T^{28} + \)\(31\!\cdots\!42\)\( T^{29} + \)\(17\!\cdots\!32\)\( T^{30} + \)\(59\!\cdots\!88\)\( T^{31} + \)\(29\!\cdots\!70\)\( T^{32} + \)\(70\!\cdots\!04\)\( T^{33} + \)\(31\!\cdots\!32\)\( T^{34} + \)\(41\!\cdots\!53\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( 1 - 9 T + 252 T^{2} - 2128 T^{3} + 32230 T^{4} - 243604 T^{5} + 2715572 T^{6} - 17845034 T^{7} + 164965646 T^{8} - 912349458 T^{9} + 7394854807 T^{10} - 31756686938 T^{11} + 235366674202 T^{12} - 547215108815 T^{13} + 4295311583215 T^{14} + 14120991047966 T^{15} - 23116736341634 T^{16} + 1462987068549184 T^{17} - 3795470818145394 T^{18} + 54130521536319808 T^{19} - 31646812051696946 T^{20} + 715270559552621798 T^{21} + 8050105452109807615 T^{22} - 37946060975417680955 T^{23} + \)\(60\!\cdots\!18\)\( T^{24} - \)\(30\!\cdots\!54\)\( T^{25} + \)\(25\!\cdots\!47\)\( T^{26} - \)\(11\!\cdots\!66\)\( T^{27} + \)\(79\!\cdots\!54\)\( T^{28} - \)\(31\!\cdots\!42\)\( T^{29} + \)\(17\!\cdots\!32\)\( T^{30} - \)\(59\!\cdots\!88\)\( T^{31} + \)\(29\!\cdots\!70\)\( T^{32} - \)\(70\!\cdots\!04\)\( T^{33} + \)\(31\!\cdots\!32\)\( T^{34} - \)\(41\!\cdots\!53\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))
$41$ (\( 1 - 5 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 + 10 T + 102 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 + 2 T^{2} + 1681 T^{4} \))(\( 1 + 15 T + 159 T^{2} + 1179 T^{3} + 6519 T^{4} + 25215 T^{5} + 68921 T^{6} \))(\( 1 - 18 T + 218 T^{2} - 1601 T^{3} + 8938 T^{4} - 30258 T^{5} + 68921 T^{6} \))(\( 1 - 18 T + 218 T^{2} - 1601 T^{3} + 8938 T^{4} - 30258 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 189 T^{2} - 1538 T^{3} + 11995 T^{4} - 63058 T^{5} + 317709 T^{6} - 895973 T^{7} + 2825761 T^{8} \))(\( 1 + 11 T + 158 T^{2} + 1013 T^{3} + 9546 T^{4} + 48494 T^{5} + 391386 T^{6} + 1702853 T^{7} + 10889518 T^{8} + 31083371 T^{9} + 115856201 T^{10} \))(\( 1 - 5 T + 170 T^{2} - 721 T^{3} + 12864 T^{4} - 42490 T^{5} + 527424 T^{6} - 1212001 T^{7} + 11716570 T^{8} - 14128805 T^{9} + 115856201 T^{10} \))(\( 1 - 17 T + 302 T^{2} - 3005 T^{3} + 28946 T^{4} - 189324 T^{5} + 1186786 T^{6} - 5051405 T^{7} + 20814142 T^{8} - 48037937 T^{9} + 115856201 T^{10} \))(\( 1 + 6 T + 170 T^{2} + 526 T^{3} + 10767 T^{4} + 12092 T^{5} + 448428 T^{6} + 495772 T^{7} + 18099327 T^{8} + 36252446 T^{9} + 480379370 T^{10} + 695137206 T^{11} + 4750104241 T^{12} \))(\( 1 + 2 T + 135 T^{2} + 108 T^{3} + 7789 T^{4} + 638 T^{5} + 315547 T^{6} - 33048 T^{7} + 12937427 T^{8} + 1072478 T^{9} + 536825669 T^{10} + 305182188 T^{11} + 15640587135 T^{12} + 9500208482 T^{13} + 194754273881 T^{14} \))(\( 1 + 31 T + 672 T^{2} + 10709 T^{3} + 141779 T^{4} + 1597663 T^{5} + 15869322 T^{6} + 140580116 T^{7} + 1128301021 T^{8} + 8237636796 T^{9} + 55142457593 T^{10} + 337743108636 T^{11} + 1896674016301 T^{12} + 9688922174836 T^{13} + 44842911204042 T^{14} + 185099165658263 T^{15} + 673465029184739 T^{16} + 2085623518991629 T^{17} + 5365869753969312 T^{18} + 10148839966212791 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 32 T + 721 T^{2} - 12133 T^{3} + 169240 T^{4} - 2023344 T^{5} + 21295543 T^{6} - 200860859 T^{7} + 1718002068 T^{8} - 13447584512 T^{9} + 96913023635 T^{10} - 645154352000 T^{11} + 3973433969035 T^{12} - 22605389564672 T^{13} + 118406420528628 T^{14} - 567584781788699 T^{15} + 2467220710212143 T^{16} - 9611094915401904 T^{17} + 32960213311620440 T^{18} - 96881097804925093 T^{19} + 236042374698045881 T^{20} - 429525097924876832 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 13 T + 191 T^{2} + 1194 T^{3} + 11421 T^{4} + 55902 T^{5} + 685087 T^{6} + 3847769 T^{7} + 40471655 T^{8} + 174182668 T^{9} + 1575241642 T^{10} + 5864387360 T^{11} + 64584907322 T^{12} + 292801064908 T^{13} + 2789346934255 T^{14} + 10872875577209 T^{15} + 79371577174487 T^{16} + 265540327280382 T^{17} + 2224288561994901 T^{18} + 9534000723570474 T^{19} + 62529949469246551 T^{20} + 174494571031981213 T^{21} + 550329031716248441 T^{22} \))(\( 1 - 13 T + 322 T^{2} - 2879 T^{3} + 41842 T^{4} - 273200 T^{5} + 3067086 T^{6} - 14334747 T^{7} + 146169460 T^{8} - 426645477 T^{9} + 5148557205 T^{10} - 7154495096 T^{11} + 182171425072 T^{12} - 293334298936 T^{13} + 8654724661605 T^{14} - 29404832920317 T^{15} + 413039959459060 T^{16} - 1660769329716147 T^{17} + 14568978216111726 T^{18} - 53206867624289200 T^{19} + 334105241436880882 T^{20} - 942532589120213719 T^{21} + 4322096297869073122 T^{22} - 7154277412311229733 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 3 T + 169 T^{2} + 1141 T^{3} + 17102 T^{4} + 142537 T^{5} + 1463418 T^{6} + 11505262 T^{7} + 100003294 T^{8} + 746499630 T^{9} + 5586330124 T^{10} + 39583647654 T^{11} + 268431701956 T^{12} + 1753283319894 T^{13} + 11005699780196 T^{14} + 66540111706374 T^{15} + 385015458476204 T^{16} + 2109429540968430 T^{17} + 11586001730326094 T^{18} + 54651193820016142 T^{19} + 285006909974385258 T^{20} + 1138147287383219977 T^{21} + 5598885842005521022 T^{22} + 15315254272883889541 T^{23} + 93005606360045986529 T^{24} + 67690470901098558243 T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 + 3 T + 169 T^{2} + 1141 T^{3} + 17102 T^{4} + 142537 T^{5} + 1463418 T^{6} + 11505262 T^{7} + 100003294 T^{8} + 746499630 T^{9} + 5586330124 T^{10} + 39583647654 T^{11} + 268431701956 T^{12} + 1753283319894 T^{13} + 11005699780196 T^{14} + 66540111706374 T^{15} + 385015458476204 T^{16} + 2109429540968430 T^{17} + 11586001730326094 T^{18} + 54651193820016142 T^{19} + 285006909974385258 T^{20} + 1138147287383219977 T^{21} + 5598885842005521022 T^{22} + 15315254272883889541 T^{23} + 93005606360045986529 T^{24} + 67690470901098558243 T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 + 11 T + 318 T^{2} + 2573 T^{3} + 46000 T^{4} + 279936 T^{5} + 4144538 T^{6} + 18644456 T^{7} + 272927005 T^{8} + 848338522 T^{9} + 14673139944 T^{10} + 27316245715 T^{11} + 694785981699 T^{12} + 578010636914 T^{13} + 30356146115802 T^{14} + 6526306430864 T^{15} + 1264789973989939 T^{16} + 267578563665424 T^{17} + 51028681620663162 T^{18} + 39837071106749794 T^{19} + 1963299130431747939 T^{20} + 3164756454122428715 T^{21} + 69698944276780902504 T^{22} + \)\(16\!\cdots\!82\)\( T^{23} + \)\(21\!\cdots\!05\)\( T^{24} + \)\(61\!\cdots\!16\)\( T^{25} + \)\(55\!\cdots\!38\)\( T^{26} + \)\(15\!\cdots\!76\)\( T^{27} + \)\(10\!\cdots\!00\)\( T^{28} + \)\(23\!\cdots\!33\)\( T^{29} + \)\(12\!\cdots\!98\)\( T^{30} + \)\(17\!\cdots\!11\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 11 T + 318 T^{2} + 2573 T^{3} + 46000 T^{4} + 279936 T^{5} + 4144538 T^{6} + 18644456 T^{7} + 272927005 T^{8} + 848338522 T^{9} + 14673139944 T^{10} + 27316245715 T^{11} + 694785981699 T^{12} + 578010636914 T^{13} + 30356146115802 T^{14} + 6526306430864 T^{15} + 1264789973989939 T^{16} + 267578563665424 T^{17} + 51028681620663162 T^{18} + 39837071106749794 T^{19} + 1963299130431747939 T^{20} + 3164756454122428715 T^{21} + 69698944276780902504 T^{22} + \)\(16\!\cdots\!82\)\( T^{23} + \)\(21\!\cdots\!05\)\( T^{24} + \)\(61\!\cdots\!16\)\( T^{25} + \)\(55\!\cdots\!38\)\( T^{26} + \)\(15\!\cdots\!76\)\( T^{27} + \)\(10\!\cdots\!00\)\( T^{28} + \)\(23\!\cdots\!33\)\( T^{29} + \)\(12\!\cdots\!98\)\( T^{30} + \)\(17\!\cdots\!11\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 21 T + 651 T^{2} - 10084 T^{3} + 182638 T^{4} - 2281311 T^{5} + 30798810 T^{6} - 325676360 T^{7} + 3590849235 T^{8} - 33160732642 T^{9} + 313314562925 T^{10} - 2584123937751 T^{11} + 21577666575163 T^{12} - 161711191241419 T^{13} + 1220114110857093 T^{14} - 8415486451396574 T^{15} + 58287939040923525 T^{16} - 372571803126952968 T^{17} + 2389805500677864525 T^{18} - 14146432724797640894 T^{19} + 84091484634381706653 T^{20} - \)\(45\!\cdots\!59\)\( T^{21} + \)\(24\!\cdots\!63\)\( T^{22} - \)\(12\!\cdots\!91\)\( T^{23} + \)\(61\!\cdots\!25\)\( T^{24} - \)\(26\!\cdots\!82\)\( T^{25} + \)\(11\!\cdots\!35\)\( T^{26} - \)\(43\!\cdots\!60\)\( T^{27} + \)\(16\!\cdots\!10\)\( T^{28} - \)\(51\!\cdots\!91\)\( T^{29} + \)\(16\!\cdots\!98\)\( T^{30} - \)\(38\!\cdots\!24\)\( T^{31} + \)\(10\!\cdots\!51\)\( T^{32} - \)\(13\!\cdots\!61\)\( T^{33} + \)\(26\!\cdots\!81\)\( T^{34} \))(\( 1 - 21 T + 651 T^{2} - 10084 T^{3} + 182638 T^{4} - 2281311 T^{5} + 30798810 T^{6} - 325676360 T^{7} + 3590849235 T^{8} - 33160732642 T^{9} + 313314562925 T^{10} - 2584123937751 T^{11} + 21577666575163 T^{12} - 161711191241419 T^{13} + 1220114110857093 T^{14} - 8415486451396574 T^{15} + 58287939040923525 T^{16} - 372571803126952968 T^{17} + 2389805500677864525 T^{18} - 14146432724797640894 T^{19} + 84091484634381706653 T^{20} - \)\(45\!\cdots\!59\)\( T^{21} + \)\(24\!\cdots\!63\)\( T^{22} - \)\(12\!\cdots\!91\)\( T^{23} + \)\(61\!\cdots\!25\)\( T^{24} - \)\(26\!\cdots\!82\)\( T^{25} + \)\(11\!\cdots\!35\)\( T^{26} - \)\(43\!\cdots\!60\)\( T^{27} + \)\(16\!\cdots\!10\)\( T^{28} - \)\(51\!\cdots\!91\)\( T^{29} + \)\(16\!\cdots\!98\)\( T^{30} - \)\(38\!\cdots\!24\)\( T^{31} + \)\(10\!\cdots\!51\)\( T^{32} - \)\(13\!\cdots\!61\)\( T^{33} + \)\(26\!\cdots\!81\)\( T^{34} \))(\( 1 + 15 T + 498 T^{2} + 6107 T^{3} + 116023 T^{4} + 1221471 T^{5} + 17198996 T^{6} + 160187817 T^{7} + 1844696007 T^{8} + 15516453280 T^{9} + 153854423414 T^{10} + 1186796575439 T^{11} + 10462586813038 T^{12} + 74889927632146 T^{13} + 600280150513404 T^{14} + 4021372775692361 T^{15} + 29790508803472746 T^{16} + 187656041997789248 T^{17} + 1299290699932344742 T^{18} + 7693897721909359168 T^{19} + 50077845298637686026 T^{20} + \)\(27\!\cdots\!81\)\( T^{21} + \)\(16\!\cdots\!44\)\( T^{22} + \)\(86\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!58\)\( T^{24} + \)\(23\!\cdots\!59\)\( T^{25} + \)\(12\!\cdots\!94\)\( T^{26} + \)\(50\!\cdots\!80\)\( T^{27} + \)\(24\!\cdots\!07\)\( T^{28} + \)\(88\!\cdots\!97\)\( T^{29} + \)\(38\!\cdots\!76\)\( T^{30} + \)\(11\!\cdots\!91\)\( T^{31} + \)\(44\!\cdots\!03\)\( T^{32} + \)\(94\!\cdots\!07\)\( T^{33} + \)\(31\!\cdots\!18\)\( T^{34} + \)\(39\!\cdots\!15\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( 1 + 15 T + 498 T^{2} + 6107 T^{3} + 116023 T^{4} + 1221471 T^{5} + 17198996 T^{6} + 160187817 T^{7} + 1844696007 T^{8} + 15516453280 T^{9} + 153854423414 T^{10} + 1186796575439 T^{11} + 10462586813038 T^{12} + 74889927632146 T^{13} + 600280150513404 T^{14} + 4021372775692361 T^{15} + 29790508803472746 T^{16} + 187656041997789248 T^{17} + 1299290699932344742 T^{18} + 7693897721909359168 T^{19} + 50077845298637686026 T^{20} + \)\(27\!\cdots\!81\)\( T^{21} + \)\(16\!\cdots\!44\)\( T^{22} + \)\(86\!\cdots\!46\)\( T^{23} + \)\(49\!\cdots\!58\)\( T^{24} + \)\(23\!\cdots\!59\)\( T^{25} + \)\(12\!\cdots\!94\)\( T^{26} + \)\(50\!\cdots\!80\)\( T^{27} + \)\(24\!\cdots\!07\)\( T^{28} + \)\(88\!\cdots\!97\)\( T^{29} + \)\(38\!\cdots\!76\)\( T^{30} + \)\(11\!\cdots\!91\)\( T^{31} + \)\(44\!\cdots\!03\)\( T^{32} + \)\(94\!\cdots\!07\)\( T^{33} + \)\(31\!\cdots\!18\)\( T^{34} + \)\(39\!\cdots\!15\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))
$43$ (\( 1 - 6 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + 66 T^{2} + 1849 T^{4} \))(\( 1 - 6 T + 90 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 + 15 T + 141 T^{2} + 929 T^{3} + 6063 T^{4} + 27735 T^{5} + 79507 T^{6} \))(\( 1 + 7 T + 76 T^{2} + 607 T^{3} + 3268 T^{4} + 12943 T^{5} + 79507 T^{6} \))(\( 1 - 7 T + 76 T^{2} - 607 T^{3} + 3268 T^{4} - 12943 T^{5} + 79507 T^{6} \))(\( 1 - 6 T + 134 T^{2} - 637 T^{3} + 7795 T^{4} - 27391 T^{5} + 247766 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 111 T^{2} - 469 T^{3} + 7901 T^{4} - 25810 T^{5} + 339743 T^{6} - 867181 T^{7} + 8825277 T^{8} - 13675204 T^{9} + 147008443 T^{10} \))(\( 1 - 13 T + 101 T^{2} - 837 T^{3} + 6036 T^{4} - 36149 T^{5} + 259548 T^{6} - 1547613 T^{7} + 8030207 T^{8} - 44444413 T^{9} + 147008443 T^{10} \))(\( 1 - 7 T + 125 T^{2} - 557 T^{3} + 8648 T^{4} - 35235 T^{5} + 371864 T^{6} - 1029893 T^{7} + 9938375 T^{8} - 23931607 T^{9} + 147008443 T^{10} \))(\( 1 - 12 T + 155 T^{2} - 986 T^{3} + 7828 T^{4} - 39914 T^{5} + 317900 T^{6} - 1716302 T^{7} + 14473972 T^{8} - 78393902 T^{9} + 529914155 T^{10} - 1764101316 T^{11} + 6321363049 T^{12} \))(\( 1 + 2 T + 230 T^{2} + 452 T^{3} + 25157 T^{4} + 43968 T^{5} + 1663928 T^{6} + 2443204 T^{7} + 71548904 T^{8} + 81296832 T^{9} + 2000157599 T^{10} + 1545298052 T^{11} + 33811941890 T^{12} + 12642726098 T^{13} + 271818611107 T^{14} \))(\( 1 + 181 T^{2} - 351 T^{3} + 17676 T^{4} - 49974 T^{5} + 1270206 T^{6} - 3865432 T^{7} + 71873693 T^{8} - 219007610 T^{9} + 3347959719 T^{10} - 9417327230 T^{11} + 132894458357 T^{12} - 307328902024 T^{13} + 4342581543006 T^{14} - 7346599930482 T^{15} + 111736413254124 T^{16} - 95408332498557 T^{17} + 2115564250245781 T^{18} + 21611482313284249 T^{20} \))(\( 1 - 4 T + 296 T^{2} - 1270 T^{3} + 42642 T^{4} - 199281 T^{5} + 4006383 T^{6} - 19925446 T^{7} + 276238443 T^{8} - 1386521859 T^{9} + 14837780035 T^{10} - 69737080008 T^{11} + 638024541505 T^{12} - 2563678917291 T^{13} + 21962889887601 T^{14} - 68121134710246 T^{15} + 588972126891669 T^{16} - 1259727549767769 T^{17} + 11590889214824694 T^{18} - 14844014352553270 T^{19} + 148767413133305528 T^{20} - 86445929253136996 T^{21} + 929293739471222707 T^{22} \))(\( 1 - 21 T + 422 T^{2} - 5044 T^{3} + 57240 T^{4} - 462145 T^{5} + 3691638 T^{6} - 21308794 T^{7} + 136125023 T^{8} - 590888537 T^{9} + 3907363680 T^{10} - 17185344957 T^{11} + 168016638240 T^{12} - 1092552904913 T^{13} + 10822892203661 T^{14} - 72850526235994 T^{15} + 542701954499634 T^{16} - 2921386326280105 T^{17} + 15558897299764680 T^{18} - 58955282200219444 T^{19} + 212094082237347746 T^{20} - 453841128578969229 T^{21} + 929293739471222707 T^{22} \))(\( 1 + 25 T + 545 T^{2} + 8245 T^{3} + 113842 T^{4} + 1306425 T^{5} + 13981882 T^{6} + 132068479 T^{7} + 1179662253 T^{8} + 9564050379 T^{9} + 73973492745 T^{10} + 526500702508 T^{11} + 3591384579552 T^{12} + 22639530207844 T^{13} + 136776988085505 T^{14} + 760408953483153 T^{15} + 4033030490218653 T^{16} + 19415181467168197 T^{17} + 88384552230278218 T^{18} + 355110629015462475 T^{19} + 1330608096002653042 T^{20} + 4143876085419270535 T^{21} + 11778257860739915705 T^{22} + 23232343486780567675 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 19 T + 550 T^{2} + 7664 T^{3} + 130380 T^{4} + 1465454 T^{5} + 18665202 T^{6} + 177358152 T^{7} + 1845269986 T^{8} + 15191191055 T^{9} + 134517758218 T^{10} + 971261332991 T^{11} + 7476906065851 T^{12} + 47546779849106 T^{13} + 321506960831593 T^{14} + 1795862204700359 T^{15} + 10695103402638526 T^{16} + 51935659170025055 T^{17} + 271270267556491798 T^{18} + 1121145268491725448 T^{19} + 5073549283671598614 T^{20} + 17128519849611495854 T^{21} + 65528024744325590340 T^{22} + \)\(16\!\cdots\!36\)\( T^{23} + \)\(51\!\cdots\!50\)\( T^{24} + \)\(75\!\cdots\!19\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 - 19 T + 550 T^{2} - 7664 T^{3} + 130380 T^{4} - 1465454 T^{5} + 18665202 T^{6} - 177358152 T^{7} + 1845269986 T^{8} - 15191191055 T^{9} + 134517758218 T^{10} - 971261332991 T^{11} + 7476906065851 T^{12} - 47546779849106 T^{13} + 321506960831593 T^{14} - 1795862204700359 T^{15} + 10695103402638526 T^{16} - 51935659170025055 T^{17} + 271270267556491798 T^{18} - 1121145268491725448 T^{19} + 5073549283671598614 T^{20} - 17128519849611495854 T^{21} + 65528024744325590340 T^{22} - \)\(16\!\cdots\!36\)\( T^{23} + \)\(51\!\cdots\!50\)\( T^{24} - \)\(75\!\cdots\!19\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 + 6 T + 322 T^{2} + 2329 T^{3} + 53383 T^{4} + 425440 T^{5} + 6182092 T^{6} + 50155103 T^{7} + 559470540 T^{8} + 4387466633 T^{9} + 41501556669 T^{10} + 307285219608 T^{11} + 2589870580662 T^{12} + 17965310408871 T^{13} + 138328636728863 T^{14} + 896336480712146 T^{15} + 6387218922605612 T^{16} + 38542468670622278 T^{17} + 255769649311667687 T^{18} + 1428367934678106597 T^{19} + 8854252131037826262 T^{20} + 45173521691485150344 T^{21} + \)\(26\!\cdots\!81\)\( T^{22} + \)\(11\!\cdots\!31\)\( T^{23} + \)\(65\!\cdots\!40\)\( T^{24} + \)\(25\!\cdots\!29\)\( T^{25} + \)\(13\!\cdots\!08\)\( T^{26} + \)\(39\!\cdots\!80\)\( T^{27} + \)\(21\!\cdots\!83\)\( T^{28} + \)\(40\!\cdots\!47\)\( T^{29} + \)\(23\!\cdots\!78\)\( T^{30} + \)\(19\!\cdots\!42\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 6 T + 322 T^{2} - 2329 T^{3} + 53383 T^{4} - 425440 T^{5} + 6182092 T^{6} - 50155103 T^{7} + 559470540 T^{8} - 4387466633 T^{9} + 41501556669 T^{10} - 307285219608 T^{11} + 2589870580662 T^{12} - 17965310408871 T^{13} + 138328636728863 T^{14} - 896336480712146 T^{15} + 6387218922605612 T^{16} - 38542468670622278 T^{17} + 255769649311667687 T^{18} - 1428367934678106597 T^{19} + 8854252131037826262 T^{20} - 45173521691485150344 T^{21} + \)\(26\!\cdots\!81\)\( T^{22} - \)\(11\!\cdots\!31\)\( T^{23} + \)\(65\!\cdots\!40\)\( T^{24} - \)\(25\!\cdots\!29\)\( T^{25} + \)\(13\!\cdots\!08\)\( T^{26} - \)\(39\!\cdots\!80\)\( T^{27} + \)\(21\!\cdots\!83\)\( T^{28} - \)\(40\!\cdots\!47\)\( T^{29} + \)\(23\!\cdots\!78\)\( T^{30} - \)\(19\!\cdots\!42\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 + 17 T + 489 T^{2} + 6493 T^{3} + 110920 T^{4} + 1237708 T^{5} + 16014419 T^{6} + 156336089 T^{7} + 1677590817 T^{8} + 14699063796 T^{9} + 137101422470 T^{10} + 1097749417768 T^{11} + 9165039151031 T^{12} + 67948320636319 T^{13} + 518395727204216 T^{14} + 3590656332979930 T^{15} + 25404199746664481 T^{16} + 165024847252015380 T^{17} + 1092380589106572683 T^{18} + 6639123559679890570 T^{19} + 41216089082825601512 T^{20} + \)\(23\!\cdots\!19\)\( T^{21} + \)\(13\!\cdots\!33\)\( T^{22} + \)\(69\!\cdots\!32\)\( T^{23} + \)\(37\!\cdots\!90\)\( T^{24} + \)\(17\!\cdots\!96\)\( T^{25} + \)\(84\!\cdots\!31\)\( T^{26} + \)\(33\!\cdots\!61\)\( T^{27} + \)\(14\!\cdots\!33\)\( T^{28} + \)\(49\!\cdots\!08\)\( T^{29} + \)\(19\!\cdots\!60\)\( T^{30} + \)\(47\!\cdots\!57\)\( T^{31} + \)\(15\!\cdots\!23\)\( T^{32} + \)\(23\!\cdots\!17\)\( T^{33} + \)\(58\!\cdots\!43\)\( T^{34} \))(\( 1 - 17 T + 489 T^{2} - 6493 T^{3} + 110920 T^{4} - 1237708 T^{5} + 16014419 T^{6} - 156336089 T^{7} + 1677590817 T^{8} - 14699063796 T^{9} + 137101422470 T^{10} - 1097749417768 T^{11} + 9165039151031 T^{12} - 67948320636319 T^{13} + 518395727204216 T^{14} - 3590656332979930 T^{15} + 25404199746664481 T^{16} - 165024847252015380 T^{17} + 1092380589106572683 T^{18} - 6639123559679890570 T^{19} + 41216089082825601512 T^{20} - \)\(23\!\cdots\!19\)\( T^{21} + \)\(13\!\cdots\!33\)\( T^{22} - \)\(69\!\cdots\!32\)\( T^{23} + \)\(37\!\cdots\!90\)\( T^{24} - \)\(17\!\cdots\!96\)\( T^{25} + \)\(84\!\cdots\!31\)\( T^{26} - \)\(33\!\cdots\!61\)\( T^{27} + \)\(14\!\cdots\!33\)\( T^{28} - \)\(49\!\cdots\!08\)\( T^{29} + \)\(19\!\cdots\!60\)\( T^{30} - \)\(47\!\cdots\!57\)\( T^{31} + \)\(15\!\cdots\!23\)\( T^{32} - \)\(23\!\cdots\!17\)\( T^{33} + \)\(58\!\cdots\!43\)\( T^{34} \))(\( 1 + 28 T + 643 T^{2} + 10283 T^{3} + 146548 T^{4} + 1728535 T^{5} + 18817139 T^{6} + 179304778 T^{7} + 1607311747 T^{8} + 12885741384 T^{9} + 98219042473 T^{10} + 670748640542 T^{11} + 4379748077313 T^{12} + 25168051938394 T^{13} + 139315427957168 T^{14} + 647846864427109 T^{15} + 3068686259654209 T^{16} + 11975869258851011 T^{17} + 73912921690929354 T^{18} + 514962378130593473 T^{19} + 5674000894100632441 T^{20} + 51508360650006155263 T^{21} + \)\(47\!\cdots\!68\)\( T^{22} + \)\(36\!\cdots\!42\)\( T^{23} + \)\(27\!\cdots\!37\)\( T^{24} + \)\(18\!\cdots\!94\)\( T^{25} + \)\(11\!\cdots\!73\)\( T^{26} + \)\(64\!\cdots\!12\)\( T^{27} + \)\(34\!\cdots\!03\)\( T^{28} + \)\(16\!\cdots\!46\)\( T^{29} + \)\(75\!\cdots\!39\)\( T^{30} + \)\(29\!\cdots\!05\)\( T^{31} + \)\(10\!\cdots\!52\)\( T^{32} + \)\(32\!\cdots\!81\)\( T^{33} + \)\(87\!\cdots\!43\)\( T^{34} + \)\(16\!\cdots\!04\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 - 28 T + 643 T^{2} - 10283 T^{3} + 146548 T^{4} - 1728535 T^{5} + 18817139 T^{6} - 179304778 T^{7} + 1607311747 T^{8} - 12885741384 T^{9} + 98219042473 T^{10} - 670748640542 T^{11} + 4379748077313 T^{12} - 25168051938394 T^{13} + 139315427957168 T^{14} - 647846864427109 T^{15} + 3068686259654209 T^{16} - 11975869258851011 T^{17} + 73912921690929354 T^{18} - 514962378130593473 T^{19} + 5674000894100632441 T^{20} - 51508360650006155263 T^{21} + \)\(47\!\cdots\!68\)\( T^{22} - \)\(36\!\cdots\!42\)\( T^{23} + \)\(27\!\cdots\!37\)\( T^{24} - \)\(18\!\cdots\!94\)\( T^{25} + \)\(11\!\cdots\!73\)\( T^{26} - \)\(64\!\cdots\!12\)\( T^{27} + \)\(34\!\cdots\!03\)\( T^{28} - \)\(16\!\cdots\!46\)\( T^{29} + \)\(75\!\cdots\!39\)\( T^{30} - \)\(29\!\cdots\!05\)\( T^{31} + \)\(10\!\cdots\!52\)\( T^{32} - \)\(32\!\cdots\!81\)\( T^{33} + \)\(87\!\cdots\!43\)\( T^{34} - \)\(16\!\cdots\!04\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))
$47$ (\( 1 + 7 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 2 T + 50 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 98 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 141 T^{2} + 936 T^{3} + 6627 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( ( 1 + 2 T + 47 T^{2} )^{3} \))(\( ( 1 - 2 T + 47 T^{2} )^{3} \))(\( 1 - 5 T + 112 T^{2} - 767 T^{3} + 6191 T^{4} - 36049 T^{5} + 247408 T^{6} - 519115 T^{7} + 4879681 T^{8} \))(\( 1 + 13 T + 223 T^{2} + 2274 T^{3} + 20637 T^{4} + 156330 T^{5} + 969939 T^{6} + 5023266 T^{7} + 23152529 T^{8} + 63435853 T^{9} + 229345007 T^{10} \))(\( 1 - 3 T + 125 T^{2} - 280 T^{3} + 7713 T^{4} - 12314 T^{5} + 362511 T^{6} - 618520 T^{7} + 12977875 T^{8} - 14639043 T^{9} + 229345007 T^{10} \))(\( 1 + 3 T + 165 T^{2} + 344 T^{3} + 12831 T^{4} + 20742 T^{5} + 603057 T^{6} + 759896 T^{7} + 17130795 T^{8} + 14639043 T^{9} + 229345007 T^{10} \))(\( 1 + 16 T + 241 T^{2} + 2136 T^{3} + 19920 T^{4} + 133866 T^{5} + 1042664 T^{6} + 6291702 T^{7} + 44003280 T^{8} + 221765928 T^{9} + 1176003121 T^{10} + 3669520112 T^{11} + 10779215329 T^{12} \))(\( 1 + 16 T + 264 T^{2} + 2400 T^{3} + 22703 T^{4} + 147438 T^{5} + 1130560 T^{6} + 6706116 T^{7} + 53136320 T^{8} + 325690542 T^{9} + 2357093569 T^{10} + 11711234400 T^{11} + 60547081848 T^{12} + 172467445264 T^{13} + 506623120463 T^{14} \))(\( 1 - T + 180 T^{2} - 815 T^{3} + 17902 T^{4} - 122930 T^{5} + 1432418 T^{6} - 10162734 T^{7} + 96435041 T^{8} - 602026906 T^{9} + 5135500468 T^{10} - 28295264582 T^{11} + 213025005569 T^{12} - 1055125532082 T^{13} + 6989742898658 T^{14} - 28193381710510 T^{15} + 192969512819758 T^{16} - 412897843177345 T^{17} + 4286031599116980 T^{18} - 1119130473102767 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 11 T + 375 T^{2} - 3266 T^{3} + 63872 T^{4} - 461177 T^{5} + 6832318 T^{6} - 42495588 T^{7} + 528719297 T^{8} - 2903974300 T^{9} + 31561837485 T^{10} - 154162263732 T^{11} + 1483406361795 T^{12} - 6414879228700 T^{13} + 54893223572431 T^{14} - 207364913347428 T^{15} + 1566958019536226 T^{16} - 4971126187782233 T^{17} + 32359031950212736 T^{18} - 77767662237311426 T^{19} + 419673927413537625 T^{20} - 578590454594130539 T^{21} + 2472159215084012303 T^{22} \))(\( 1 - 55 T + 1765 T^{2} - 40756 T^{3} + 746616 T^{4} - 11366997 T^{5} + 148230476 T^{6} - 1686494844 T^{7} + 16961275303 T^{8} - 152050557460 T^{9} + 1221945739311 T^{10} - 8829604063904 T^{11} + 57431449747617 T^{12} - 335879681429140 T^{13} + 1760970485783369 T^{14} - 8229556846864764 T^{15} + 33995919555833332 T^{16} - 122527308307097013 T^{17} + 378252927707603208 T^{18} - 970452799186731316 T^{19} + 1975265285026383755 T^{20} - 2892952272970652695 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + 19 T + 408 T^{2} + 5689 T^{3} + 80509 T^{4} + 909849 T^{5} + 10162416 T^{6} + 97798751 T^{7} + 920725379 T^{8} + 7718223732 T^{9} + 63113778360 T^{10} + 466201213128 T^{11} + 3354742201726 T^{12} + 21911457017016 T^{13} + 139418336397240 T^{14} + 801329142527436 T^{15} + 4492846138124099 T^{16} + 22429655232686257 T^{17} + 109542870326874864 T^{18} + 460950539530140087 T^{19} + 1917022877851716349 T^{20} + 6366733261481641463 T^{21} + 21460445952218659992 T^{22} + 46971025086596233757 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 19 T + 456 T^{2} + 6682 T^{3} + 98380 T^{4} + 1175370 T^{5} + 13413508 T^{6} + 136225574 T^{7} + 1304988794 T^{8} + 11582669057 T^{9} + 96698535326 T^{10} + 762751811345 T^{11} + 5659268979735 T^{12} + 39998307907358 T^{13} + 265985642047545 T^{14} + 1684918751261105 T^{15} + 10039532033151298 T^{16} + 56519730126730817 T^{17} + 299292664094851558 T^{18} + 1468404795462623846 T^{19} + 6795593279315414204 T^{20} + 27987072003634026570 T^{21} + \)\(11\!\cdots\!60\)\( T^{22} + \)\(35\!\cdots\!18\)\( T^{23} + \)\(11\!\cdots\!68\)\( T^{24} + \)\(22\!\cdots\!79\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 - 19 T + 456 T^{2} - 6682 T^{3} + 98380 T^{4} - 1175370 T^{5} + 13413508 T^{6} - 136225574 T^{7} + 1304988794 T^{8} - 11582669057 T^{9} + 96698535326 T^{10} - 762751811345 T^{11} + 5659268979735 T^{12} - 39998307907358 T^{13} + 265985642047545 T^{14} - 1684918751261105 T^{15} + 10039532033151298 T^{16} - 56519730126730817 T^{17} + 299292664094851558 T^{18} - 1468404795462623846 T^{19} + 6795593279315414204 T^{20} - 27987072003634026570 T^{21} + \)\(11\!\cdots\!60\)\( T^{22} - \)\(35\!\cdots\!18\)\( T^{23} + \)\(11\!\cdots\!68\)\( T^{24} - \)\(22\!\cdots\!79\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 + 47 T + 1526 T^{2} + 36348 T^{3} + 722516 T^{4} + 12238834 T^{5} + 183796931 T^{6} + 2473052447 T^{7} + 30352621910 T^{8} + 341816056533 T^{9} + 3566427814710 T^{10} + 34591054894879 T^{11} + 313671038637045 T^{12} + 2663702748767724 T^{13} + 21256824413256851 T^{14} + 159472797860922304 T^{15} + 1126903176377389332 T^{16} + 7495221499463348288 T^{17} + 46956325128884383859 T^{18} + \)\(27\!\cdots\!52\)\( T^{19} + \)\(15\!\cdots\!45\)\( T^{20} + \)\(79\!\cdots\!53\)\( T^{21} + \)\(38\!\cdots\!90\)\( T^{22} + \)\(17\!\cdots\!79\)\( T^{23} + \)\(72\!\cdots\!10\)\( T^{24} + \)\(27\!\cdots\!49\)\( T^{25} + \)\(96\!\cdots\!19\)\( T^{26} + \)\(30\!\cdots\!02\)\( T^{27} + \)\(83\!\cdots\!56\)\( T^{28} + \)\(19\!\cdots\!96\)\( T^{29} + \)\(39\!\cdots\!94\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 47 T + 1526 T^{2} - 36348 T^{3} + 722516 T^{4} - 12238834 T^{5} + 183796931 T^{6} - 2473052447 T^{7} + 30352621910 T^{8} - 341816056533 T^{9} + 3566427814710 T^{10} - 34591054894879 T^{11} + 313671038637045 T^{12} - 2663702748767724 T^{13} + 21256824413256851 T^{14} - 159472797860922304 T^{15} + 1126903176377389332 T^{16} - 7495221499463348288 T^{17} + 46956325128884383859 T^{18} - \)\(27\!\cdots\!52\)\( T^{19} + \)\(15\!\cdots\!45\)\( T^{20} - \)\(79\!\cdots\!53\)\( T^{21} + \)\(38\!\cdots\!90\)\( T^{22} - \)\(17\!\cdots\!79\)\( T^{23} + \)\(72\!\cdots\!10\)\( T^{24} - \)\(27\!\cdots\!49\)\( T^{25} + \)\(96\!\cdots\!19\)\( T^{26} - \)\(30\!\cdots\!02\)\( T^{27} + \)\(83\!\cdots\!56\)\( T^{28} - \)\(19\!\cdots\!96\)\( T^{29} + \)\(39\!\cdots\!94\)\( T^{30} - \)\(56\!\cdots\!21\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 31 T + 903 T^{2} + 17407 T^{3} + 313518 T^{4} + 4609970 T^{5} + 64084415 T^{6} + 781593465 T^{7} + 9095751125 T^{8} + 96056793906 T^{9} + 973895043706 T^{10} + 9124474448338 T^{11} + 82396297128261 T^{12} + 694712168521605 T^{13} + 5659362169969798 T^{14} + 43293736654690322 T^{15} + 320429430359907837 T^{16} + 2232867432443828776 T^{17} + 15060183226915668339 T^{18} + 95635864270210921298 T^{19} + \)\(58\!\cdots\!54\)\( T^{20} + \)\(33\!\cdots\!05\)\( T^{21} + \)\(18\!\cdots\!27\)\( T^{22} + \)\(98\!\cdots\!02\)\( T^{23} + \)\(49\!\cdots\!78\)\( T^{24} + \)\(22\!\cdots\!66\)\( T^{25} + \)\(10\!\cdots\!75\)\( T^{26} + \)\(41\!\cdots\!85\)\( T^{27} + \)\(15\!\cdots\!45\)\( T^{28} + \)\(53\!\cdots\!70\)\( T^{29} + \)\(17\!\cdots\!86\)\( T^{30} + \)\(44\!\cdots\!83\)\( T^{31} + \)\(10\!\cdots\!29\)\( T^{32} + \)\(17\!\cdots\!51\)\( T^{33} + \)\(26\!\cdots\!87\)\( T^{34} \))(\( 1 - 31 T + 903 T^{2} - 17407 T^{3} + 313518 T^{4} - 4609970 T^{5} + 64084415 T^{6} - 781593465 T^{7} + 9095751125 T^{8} - 96056793906 T^{9} + 973895043706 T^{10} - 9124474448338 T^{11} + 82396297128261 T^{12} - 694712168521605 T^{13} + 5659362169969798 T^{14} - 43293736654690322 T^{15} + 320429430359907837 T^{16} - 2232867432443828776 T^{17} + 15060183226915668339 T^{18} - 95635864270210921298 T^{19} + \)\(58\!\cdots\!54\)\( T^{20} - \)\(33\!\cdots\!05\)\( T^{21} + \)\(18\!\cdots\!27\)\( T^{22} - \)\(98\!\cdots\!02\)\( T^{23} + \)\(49\!\cdots\!78\)\( T^{24} - \)\(22\!\cdots\!66\)\( T^{25} + \)\(10\!\cdots\!75\)\( T^{26} - \)\(41\!\cdots\!85\)\( T^{27} + \)\(15\!\cdots\!45\)\( T^{28} - \)\(53\!\cdots\!70\)\( T^{29} + \)\(17\!\cdots\!86\)\( T^{30} - \)\(44\!\cdots\!83\)\( T^{31} + \)\(10\!\cdots\!29\)\( T^{32} - \)\(17\!\cdots\!51\)\( T^{33} + \)\(26\!\cdots\!87\)\( T^{34} \))(\( 1 + 37 T + 956 T^{2} + 18432 T^{3} + 297609 T^{4} + 4141333 T^{5} + 51441697 T^{6} + 579850823 T^{7} + 6037623788 T^{8} + 58734605783 T^{9} + 540143269833 T^{10} + 4734582199574 T^{11} + 39868647183291 T^{12} + 324048232206959 T^{13} + 2551730899943127 T^{14} + 19488334941933931 T^{15} + 144427609607447735 T^{16} + 1037812201824476744 T^{17} + 7228417226080932950 T^{18} + 48777173485750406968 T^{19} + \)\(31\!\cdots\!15\)\( T^{20} + \)\(20\!\cdots\!13\)\( T^{21} + \)\(12\!\cdots\!87\)\( T^{22} + \)\(74\!\cdots\!13\)\( T^{23} + \)\(42\!\cdots\!39\)\( T^{24} + \)\(23\!\cdots\!62\)\( T^{25} + \)\(12\!\cdots\!13\)\( T^{26} + \)\(65\!\cdots\!61\)\( T^{27} + \)\(31\!\cdots\!12\)\( T^{28} + \)\(14\!\cdots\!69\)\( T^{29} + \)\(59\!\cdots\!77\)\( T^{30} + \)\(22\!\cdots\!91\)\( T^{31} + \)\(76\!\cdots\!21\)\( T^{32} + \)\(22\!\cdots\!76\)\( T^{33} + \)\(54\!\cdots\!76\)\( T^{34} + \)\(98\!\cdots\!19\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 - 37 T + 956 T^{2} - 18432 T^{3} + 297609 T^{4} - 4141333 T^{5} + 51441697 T^{6} - 579850823 T^{7} + 6037623788 T^{8} - 58734605783 T^{9} + 540143269833 T^{10} - 4734582199574 T^{11} + 39868647183291 T^{12} - 324048232206959 T^{13} + 2551730899943127 T^{14} - 19488334941933931 T^{15} + 144427609607447735 T^{16} - 1037812201824476744 T^{17} + 7228417226080932950 T^{18} - 48777173485750406968 T^{19} + \)\(31\!\cdots\!15\)\( T^{20} - \)\(20\!\cdots\!13\)\( T^{21} + \)\(12\!\cdots\!87\)\( T^{22} - \)\(74\!\cdots\!13\)\( T^{23} + \)\(42\!\cdots\!39\)\( T^{24} - \)\(23\!\cdots\!62\)\( T^{25} + \)\(12\!\cdots\!13\)\( T^{26} - \)\(65\!\cdots\!61\)\( T^{27} + \)\(31\!\cdots\!12\)\( T^{28} - \)\(14\!\cdots\!69\)\( T^{29} + \)\(59\!\cdots\!77\)\( T^{30} - \)\(22\!\cdots\!91\)\( T^{31} + \)\(76\!\cdots\!21\)\( T^{32} - \)\(22\!\cdots\!76\)\( T^{33} + \)\(54\!\cdots\!76\)\( T^{34} - \)\(98\!\cdots\!19\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))
$53$ (\( 1 + 3 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 - 16 T + 150 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 150 T^{2} + 742 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 123 T^{2} + 612 T^{3} + 6519 T^{4} + 16854 T^{5} + 148877 T^{6} \))(\( 1 + 4 T + 56 T^{2} - 19 T^{3} + 2968 T^{4} + 11236 T^{5} + 148877 T^{6} \))(\( 1 - 4 T + 56 T^{2} + 19 T^{3} + 2968 T^{4} - 11236 T^{5} + 148877 T^{6} \))(\( 1 - 5 T + 3 T^{2} + 128 T^{3} + 583 T^{4} + 6784 T^{5} + 8427 T^{6} - 744385 T^{7} + 7890481 T^{8} \))(\( 1 + 21 T + 378 T^{2} + 4435 T^{3} + 45136 T^{4} + 351998 T^{5} + 2392208 T^{6} + 12457915 T^{7} + 56275506 T^{8} + 165700101 T^{9} + 418195493 T^{10} \))(\( 1 + 9 T + 276 T^{2} + 1845 T^{3} + 29740 T^{4} + 145042 T^{5} + 1576220 T^{6} + 5182605 T^{7} + 41090052 T^{8} + 71014329 T^{9} + 418195493 T^{10} \))(\( 1 + 17 T + 328 T^{2} + 3423 T^{3} + 36882 T^{4} + 265830 T^{5} + 1954746 T^{6} + 9615207 T^{7} + 48831656 T^{8} + 134138177 T^{9} + 418195493 T^{10} \))(\( 1 + 12 T + 274 T^{2} + 2572 T^{3} + 32231 T^{4} + 242456 T^{5} + 2177212 T^{6} + 12850168 T^{7} + 90536879 T^{8} + 382911644 T^{9} + 2161991794 T^{10} + 5018345916 T^{11} + 22164361129 T^{12} \))(\( 1 - 16 T + 395 T^{2} - 4536 T^{3} + 64133 T^{4} - 561872 T^{5} + 5688439 T^{6} - 38839760 T^{7} + 301487267 T^{8} - 1578298448 T^{9} + 9547928641 T^{10} - 35791221816 T^{11} + 165187219735 T^{12} - 354629778064 T^{13} + 1174711139837 T^{14} \))(\( 1 + 9 T + 305 T^{2} + 2752 T^{3} + 51482 T^{4} + 419167 T^{5} + 5790098 T^{6} + 42236981 T^{7} + 470409429 T^{8} + 3032498855 T^{9} + 28688872218 T^{10} + 160722439315 T^{11} + 1321380086061 T^{12} + 6288115020337 T^{13} + 45686658257138 T^{14} + 175293750214331 T^{15} + 1141065639643178 T^{16} + 3232805056831424 T^{17} + 18989205575465105 T^{18} + 29697872326219197 T^{19} + 174887470365513049 T^{20} \))(\( 1 - 9 T + 224 T^{2} - 2031 T^{3} + 28689 T^{4} - 236893 T^{5} + 2622660 T^{6} - 20417724 T^{7} + 199361999 T^{8} - 1433240082 T^{9} + 12794171679 T^{10} - 84118509642 T^{11} + 678091098987 T^{12} - 4025971390338 T^{13} + 29680416325123 T^{14} - 161105663285244 T^{15} + 1096784591671380 T^{16} - 5250582000932197 T^{17} + 33701287890783693 T^{18} - 126449431225474191 T^{19} + 739147044563677792 T^{20} - 1573987233289617441 T^{21} + 9269035929372191597 T^{22} \))(\( 1 - 17 T + 346 T^{2} - 4541 T^{3} + 60909 T^{4} - 662693 T^{5} + 7161830 T^{6} - 67239172 T^{7} + 620666677 T^{8} - 5140343522 T^{9} + 41690642025 T^{10} - 306852844958 T^{11} + 2209604027325 T^{12} - 14439224953298 T^{13} + 92402992871729 T^{14} - 530549409121732 T^{15} + 2995045027632190 T^{16} - 14688166969660397 T^{17} + 71550480816331833 T^{18} - 282721254157990301 T^{19} + 1141718202763538018 T^{20} - 2973086996213721833 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 11 T + 291 T^{2} + 1812 T^{3} + 36937 T^{4} + 160828 T^{5} + 3548923 T^{6} + 12015171 T^{7} + 283246987 T^{8} + 776883390 T^{9} + 19100105770 T^{10} + 45807809032 T^{11} + 1099378225238 T^{12} + 2427813878696 T^{13} + 53652197107930 T^{14} + 115660068453030 T^{15} + 2234954969230747 T^{16} + 5024690359824303 T^{17} + 78659610991014067 T^{18} + 188926443197705036 T^{19} + 2299686184724441257 T^{20} + 5979171628345464996 T^{21} + 50892253876364297259 T^{22} + \)\(10\!\cdots\!67\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 19 T + 634 T^{2} + 9945 T^{3} + 187516 T^{4} + 2470879 T^{5} + 34308424 T^{6} + 385587884 T^{7} + 4338055138 T^{8} + 42095618772 T^{9} + 400796380186 T^{10} + 3386210716374 T^{11} + 27864820605345 T^{12} + 205738299601762 T^{13} + 1476835492083285 T^{14} + 9511865902294566 T^{15} + 59669362692951122 T^{16} + 332154680103709332 T^{17} + 1814155107097093034 T^{18} + 8546309107942961036 T^{19} + 40302487863051086888 T^{20} + \)\(15\!\cdots\!19\)\( T^{21} + \)\(61\!\cdots\!28\)\( T^{22} + \)\(17\!\cdots\!05\)\( T^{23} + \)\(58\!\cdots\!98\)\( T^{24} + \)\(93\!\cdots\!79\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 - 19 T + 634 T^{2} - 9945 T^{3} + 187516 T^{4} - 2470879 T^{5} + 34308424 T^{6} - 385587884 T^{7} + 4338055138 T^{8} - 42095618772 T^{9} + 400796380186 T^{10} - 3386210716374 T^{11} + 27864820605345 T^{12} - 205738299601762 T^{13} + 1476835492083285 T^{14} - 9511865902294566 T^{15} + 59669362692951122 T^{16} - 332154680103709332 T^{17} + 1814155107097093034 T^{18} - 8546309107942961036 T^{19} + 40302487863051086888 T^{20} - \)\(15\!\cdots\!19\)\( T^{21} + \)\(61\!\cdots\!28\)\( T^{22} - \)\(17\!\cdots\!05\)\( T^{23} + \)\(58\!\cdots\!98\)\( T^{24} - \)\(93\!\cdots\!79\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 + 29 T + 973 T^{2} + 19683 T^{3} + 397829 T^{4} + 6301947 T^{5} + 96607826 T^{6} + 1270260973 T^{7} + 16043753269 T^{8} + 181095644700 T^{9} + 1962009093495 T^{10} + 19407489110232 T^{11} + 184419852599301 T^{12} + 1618763134587462 T^{13} + 13662914816347145 T^{14} + 107154765521756682 T^{15} + 808536565663309819 T^{16} + 5679202572653104146 T^{17} + 38379127719119130305 T^{18} + \)\(24\!\cdots\!74\)\( T^{19} + \)\(14\!\cdots\!81\)\( T^{20} + \)\(81\!\cdots\!76\)\( T^{21} + \)\(43\!\cdots\!55\)\( T^{22} + \)\(21\!\cdots\!00\)\( T^{23} + \)\(99\!\cdots\!09\)\( T^{24} + \)\(41\!\cdots\!09\)\( T^{25} + \)\(16\!\cdots\!74\)\( T^{26} + \)\(58\!\cdots\!59\)\( T^{27} + \)\(19\!\cdots\!89\)\( T^{28} + \)\(51\!\cdots\!59\)\( T^{29} + \)\(13\!\cdots\!37\)\( T^{30} + \)\(21\!\cdots\!53\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 29 T + 973 T^{2} - 19683 T^{3} + 397829 T^{4} - 6301947 T^{5} + 96607826 T^{6} - 1270260973 T^{7} + 16043753269 T^{8} - 181095644700 T^{9} + 1962009093495 T^{10} - 19407489110232 T^{11} + 184419852599301 T^{12} - 1618763134587462 T^{13} + 13662914816347145 T^{14} - 107154765521756682 T^{15} + 808536565663309819 T^{16} - 5679202572653104146 T^{17} + 38379127719119130305 T^{18} - \)\(24\!\cdots\!74\)\( T^{19} + \)\(14\!\cdots\!81\)\( T^{20} - \)\(81\!\cdots\!76\)\( T^{21} + \)\(43\!\cdots\!55\)\( T^{22} - \)\(21\!\cdots\!00\)\( T^{23} + \)\(99\!\cdots\!09\)\( T^{24} - \)\(41\!\cdots\!09\)\( T^{25} + \)\(16\!\cdots\!74\)\( T^{26} - \)\(58\!\cdots\!59\)\( T^{27} + \)\(19\!\cdots\!89\)\( T^{28} - \)\(51\!\cdots\!59\)\( T^{29} + \)\(13\!\cdots\!37\)\( T^{30} - \)\(21\!\cdots\!53\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 23 T + 774 T^{2} + 12388 T^{3} + 243294 T^{4} + 3004034 T^{5} + 43865955 T^{6} + 437820684 T^{7} + 5219135931 T^{8} + 42892733239 T^{9} + 440972256000 T^{10} + 2978247401464 T^{11} + 27802535257160 T^{12} + 151676713666274 T^{13} + 1396000621898482 T^{14} + 6169839063265500 T^{15} + 64666624341349536 T^{16} + 271044592826132792 T^{17} + 3427331090091525408 T^{18} + 17331077928712789500 T^{19} + \)\(20\!\cdots\!14\)\( T^{20} + \)\(11\!\cdots\!94\)\( T^{21} + \)\(11\!\cdots\!80\)\( T^{22} + \)\(66\!\cdots\!56\)\( T^{23} + \)\(51\!\cdots\!00\)\( T^{24} + \)\(26\!\cdots\!79\)\( T^{25} + \)\(17\!\cdots\!23\)\( T^{26} + \)\(76\!\cdots\!16\)\( T^{27} + \)\(40\!\cdots\!35\)\( T^{28} + \)\(14\!\cdots\!94\)\( T^{29} + \)\(63\!\cdots\!62\)\( T^{30} + \)\(17\!\cdots\!72\)\( T^{31} + \)\(56\!\cdots\!18\)\( T^{32} + \)\(89\!\cdots\!83\)\( T^{33} + \)\(20\!\cdots\!13\)\( T^{34} \))(\( 1 - 23 T + 774 T^{2} - 12388 T^{3} + 243294 T^{4} - 3004034 T^{5} + 43865955 T^{6} - 437820684 T^{7} + 5219135931 T^{8} - 42892733239 T^{9} + 440972256000 T^{10} - 2978247401464 T^{11} + 27802535257160 T^{12} - 151676713666274 T^{13} + 1396000621898482 T^{14} - 6169839063265500 T^{15} + 64666624341349536 T^{16} - 271044592826132792 T^{17} + 3427331090091525408 T^{18} - 17331077928712789500 T^{19} + \)\(20\!\cdots\!14\)\( T^{20} - \)\(11\!\cdots\!94\)\( T^{21} + \)\(11\!\cdots\!80\)\( T^{22} - \)\(66\!\cdots\!56\)\( T^{23} + \)\(51\!\cdots\!00\)\( T^{24} - \)\(26\!\cdots\!79\)\( T^{25} + \)\(17\!\cdots\!23\)\( T^{26} - \)\(76\!\cdots\!16\)\( T^{27} + \)\(40\!\cdots\!35\)\( T^{28} - \)\(14\!\cdots\!94\)\( T^{29} + \)\(63\!\cdots\!62\)\( T^{30} - \)\(17\!\cdots\!72\)\( T^{31} + \)\(56\!\cdots\!18\)\( T^{32} - \)\(89\!\cdots\!83\)\( T^{33} + \)\(20\!\cdots\!13\)\( T^{34} \))(\( 1 + 47 T + 1523 T^{2} + 37199 T^{3} + 764080 T^{4} + 13582460 T^{5} + 215842671 T^{6} + 3108752718 T^{7} + 41175317876 T^{8} + 505400175983 T^{9} + 5794404409437 T^{10} + 62340847687677 T^{11} + 632371945176818 T^{12} + 6065203101780252 T^{13} + 55162952055900396 T^{14} + 476538211142696190 T^{15} + 3916826552764414468 T^{16} + 30653822108264248122 T^{17} + \)\(22\!\cdots\!44\)\( T^{18} + \)\(16\!\cdots\!66\)\( T^{19} + \)\(11\!\cdots\!12\)\( T^{20} + \)\(70\!\cdots\!30\)\( T^{21} + \)\(43\!\cdots\!76\)\( T^{22} + \)\(25\!\cdots\!36\)\( T^{23} + \)\(14\!\cdots\!22\)\( T^{24} + \)\(73\!\cdots\!49\)\( T^{25} + \)\(36\!\cdots\!57\)\( T^{26} + \)\(16\!\cdots\!39\)\( T^{27} + \)\(72\!\cdots\!24\)\( T^{28} + \)\(28\!\cdots\!46\)\( T^{29} + \)\(10\!\cdots\!11\)\( T^{30} + \)\(35\!\cdots\!80\)\( T^{31} + \)\(10\!\cdots\!20\)\( T^{32} + \)\(27\!\cdots\!43\)\( T^{33} + \)\(59\!\cdots\!83\)\( T^{34} + \)\(96\!\cdots\!11\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))(\( 1 - 47 T + 1523 T^{2} - 37199 T^{3} + 764080 T^{4} - 13582460 T^{5} + 215842671 T^{6} - 3108752718 T^{7} + 41175317876 T^{8} - 505400175983 T^{9} + 5794404409437 T^{10} - 62340847687677 T^{11} + 632371945176818 T^{12} - 6065203101780252 T^{13} + 55162952055900396 T^{14} - 476538211142696190 T^{15} + 3916826552764414468 T^{16} - 30653822108264248122 T^{17} + \)\(22\!\cdots\!44\)\( T^{18} - \)\(16\!\cdots\!66\)\( T^{19} + \)\(11\!\cdots\!12\)\( T^{20} - \)\(70\!\cdots\!30\)\( T^{21} + \)\(43\!\cdots\!76\)\( T^{22} - \)\(25\!\cdots\!36\)\( T^{23} + \)\(14\!\cdots\!22\)\( T^{24} - \)\(73\!\cdots\!49\)\( T^{25} + \)\(36\!\cdots\!57\)\( T^{26} - \)\(16\!\cdots\!39\)\( T^{27} + \)\(72\!\cdots\!24\)\( T^{28} - \)\(28\!\cdots\!46\)\( T^{29} + \)\(10\!\cdots\!11\)\( T^{30} - \)\(35\!\cdots\!80\)\( T^{31} + \)\(10\!\cdots\!20\)\( T^{32} - \)\(27\!\cdots\!43\)\( T^{33} + \)\(59\!\cdots\!83\)\( T^{34} - \)\(96\!\cdots\!11\)\( T^{35} + \)\(10\!\cdots\!89\)\( T^{36} \))
$59$ (\( 1 + 2 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 38 T^{2} + 3481 T^{4} \))(\( 1 - 8 T + 54 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 33 T^{2} - 576 T^{3} + 1947 T^{4} + 205379 T^{6} \))(\( 1 - T + 17 T^{2} + 349 T^{3} + 1003 T^{4} - 3481 T^{5} + 205379 T^{6} \))(\( 1 - T + 17 T^{2} + 349 T^{3} + 1003 T^{4} - 3481 T^{5} + 205379 T^{6} \))(\( 1 + 11 T + 198 T^{2} + 1603 T^{3} + 17389 T^{4} + 94577 T^{5} + 689238 T^{6} + 2259169 T^{7} + 12117361 T^{8} \))(\( 1 - 13 T + 235 T^{2} - 2090 T^{3} + 24645 T^{4} - 168598 T^{5} + 1454055 T^{6} - 7275290 T^{7} + 48264065 T^{8} - 157525693 T^{9} + 714924299 T^{10} \))(\( 1 + 20 T + 336 T^{2} + 3808 T^{3} + 39608 T^{4} + 317317 T^{5} + 2336872 T^{6} + 13255648 T^{7} + 69007344 T^{8} + 242347220 T^{9} + 714924299 T^{10} \))(\( 1 - 20 T + 390 T^{2} - 4448 T^{3} + 49264 T^{4} - 383747 T^{5} + 2906576 T^{6} - 15483488 T^{7} + 80097810 T^{8} - 242347220 T^{9} + 714924299 T^{10} \))(\( 1 - 8 T + 202 T^{2} - 1944 T^{3} + 24615 T^{4} - 184624 T^{5} + 1909772 T^{6} - 10892816 T^{7} + 85684815 T^{8} - 399256776 T^{9} + 2447706922 T^{10} - 5719394392 T^{11} + 42180533641 T^{12} \))(\( 1 - 20 T + 341 T^{2} - 3976 T^{3} + 44261 T^{4} - 398860 T^{5} + 3524649 T^{6} - 26792816 T^{7} + 207954291 T^{8} - 1388431660 T^{9} + 9090279919 T^{10} - 48178627336 T^{11} + 243789185959 T^{12} - 843610672820 T^{13} + 2488651484819 T^{14} \))(\( 1 + 65 T + 2304 T^{2} + 57457 T^{3} + 1118186 T^{4} + 17902706 T^{5} + 243425454 T^{6} + 2867749026 T^{7} + 29658704245 T^{8} + 271493438884 T^{9} + 2209893403268 T^{10} + 16018112894156 T^{11} + 103241949476845 T^{12} + 588975427210854 T^{13} + 2949674102706894 T^{14} + 12799079537253094 T^{15} + 47165682189895226 T^{16} + 142990448363245283 T^{17} + 338297328240355584 T^{18} + 563094728212571035 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 16 T + 580 T^{2} - 7464 T^{3} + 151513 T^{4} - 1623701 T^{5} + 23968344 T^{6} - 218929446 T^{7} + 2593456579 T^{8} - 20480652579 T^{9} + 204307786813 T^{10} - 1401466810052 T^{11} + 12054159421967 T^{12} - 71293151627499 T^{13} + 532641518738441 T^{14} - 2652847130712006 T^{15} + 17135551532390856 T^{16} - 68488574653425341 T^{17} + 377063052419381147 T^{18} - 1095942386278651944 T^{19} + 5024537574819864620 T^{20} - 8177868052810262416 T^{21} + 30155888444737842659 T^{22} \))(\( 1 + 24 T + 622 T^{2} + 10202 T^{3} + 160343 T^{4} + 2038985 T^{5} + 24568268 T^{6} + 258857310 T^{7} + 2597471231 T^{8} + 23462492007 T^{9} + 202690219153 T^{10} + 1591012650480 T^{11} + 11958722930027 T^{12} + 81672934676367 T^{13} + 533466043951549 T^{14} + 3136667472758910 T^{15} + 17564451777544132 T^{16} + 86005475385994385 T^{17} + 399037845030332917 T^{18} + 1497964124439282842 T^{19} + 5388383399203372058 T^{20} + 12266802079215393624 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 8 T + 331 T^{2} - 1786 T^{3} + 48491 T^{4} - 185845 T^{5} + 4709879 T^{6} - 14043911 T^{7} + 368851955 T^{8} - 925316551 T^{9} + 25041043942 T^{10} - 55156822051 T^{11} + 1534727794114 T^{12} - 3254252501009 T^{13} + 87167873962102 T^{14} - 190040587927829 T^{15} + 4469512294290755 T^{16} - 10040333226893389 T^{17} + 198665209604539439 T^{18} - 462503435196187055 T^{19} + 7119954749871129611 T^{20} - 15472110532117721054 T^{21} + \)\(16\!\cdots\!31\)\( T^{22} - \)\(24\!\cdots\!72\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - T + 440 T^{2} - 898 T^{3} + 98183 T^{4} - 263353 T^{5} + 14742944 T^{6} - 44346123 T^{7} + 1657970111 T^{8} - 5131959910 T^{9} + 147108533936 T^{10} - 442463436955 T^{11} + 10580422036657 T^{12} - 29513415246832 T^{13} + 624244900162763 T^{14} - 1540215224040355 T^{15} + 30213003591241744 T^{16} - 62185810866997510 T^{17} + 1185323119369627189 T^{18} - 1870543133049423843 T^{19} + 36690049476203367136 T^{20} - 38668236234410748313 T^{21} + \)\(85\!\cdots\!37\)\( T^{22} - \)\(45\!\cdots\!98\)\( T^{23} + \)\(13\!\cdots\!60\)\( T^{24} - \)\(17\!\cdots\!81\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 - T + 440 T^{2} - 898 T^{3} + 98183 T^{4} - 263353 T^{5} + 14742944 T^{6} - 44346123 T^{7} + 1657970111 T^{8} - 5131959910 T^{9} + 147108533936 T^{10} - 442463436955 T^{11} + 10580422036657 T^{12} - 29513415246832 T^{13} + 624244900162763 T^{14} - 1540215224040355 T^{15} + 30213003591241744 T^{16} - 62185810866997510 T^{17} + 1185323119369627189 T^{18} - 1870543133049423843 T^{19} + 36690049476203367136 T^{20} - 38668236234410748313 T^{21} + \)\(85\!\cdots\!37\)\( T^{22} - \)\(45\!\cdots\!98\)\( T^{23} + \)\(13\!\cdots\!60\)\( T^{24} - \)\(17\!\cdots\!81\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 - 10 T + 488 T^{2} - 5680 T^{3} + 130379 T^{4} - 1541368 T^{5} + 24522716 T^{6} - 274726418 T^{7} + 3521457150 T^{8} - 36368675044 T^{9} + 401935940174 T^{10} - 3799118495810 T^{11} + 37383999490120 T^{12} - 323494761717624 T^{13} + 2880178774257024 T^{14} - 22842300191242014 T^{15} + 185547416920060596 T^{16} - 1347695711283278826 T^{17} + 10025902313188700544 T^{18} - 66439030666803899496 T^{19} + \)\(45\!\cdots\!20\)\( T^{20} - \)\(27\!\cdots\!90\)\( T^{21} + \)\(16\!\cdots\!34\)\( T^{22} - \)\(90\!\cdots\!36\)\( T^{23} + \)\(51\!\cdots\!50\)\( T^{24} - \)\(23\!\cdots\!02\)\( T^{25} + \)\(12\!\cdots\!16\)\( T^{26} - \)\(46\!\cdots\!12\)\( T^{27} + \)\(23\!\cdots\!99\)\( T^{28} - \)\(59\!\cdots\!20\)\( T^{29} + \)\(30\!\cdots\!68\)\( T^{30} - \)\(36\!\cdots\!90\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 10 T + 488 T^{2} - 5680 T^{3} + 130379 T^{4} - 1541368 T^{5} + 24522716 T^{6} - 274726418 T^{7} + 3521457150 T^{8} - 36368675044 T^{9} + 401935940174 T^{10} - 3799118495810 T^{11} + 37383999490120 T^{12} - 323494761717624 T^{13} + 2880178774257024 T^{14} - 22842300191242014 T^{15} + 185547416920060596 T^{16} - 1347695711283278826 T^{17} + 10025902313188700544 T^{18} - 66439030666803899496 T^{19} + \)\(45\!\cdots\!20\)\( T^{20} - \)\(27\!\cdots\!90\)\( T^{21} + \)\(16\!\cdots\!34\)\( T^{22} - \)\(90\!\cdots\!36\)\( T^{23} + \)\(51\!\cdots\!50\)\( T^{24} - \)\(23\!\cdots\!02\)\( T^{25} + \)\(12\!\cdots\!16\)\( T^{26} - \)\(46\!\cdots\!12\)\( T^{27} + \)\(23\!\cdots\!99\)\( T^{28} - \)\(59\!\cdots\!20\)\( T^{29} + \)\(30\!\cdots\!68\)\( T^{30} - \)\(36\!\cdots\!90\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 26 T + 783 T^{2} - 14160 T^{3} + 257095 T^{4} - 3671206 T^{5} + 50837389 T^{6} - 611758990 T^{7} + 7076251900 T^{8} - 74857860786 T^{9} + 761257766508 T^{10} - 7299606737702 T^{11} + 67468601512876 T^{12} - 598892822059442 T^{13} + 5134616184467056 T^{14} - 42679419792637768 T^{15} + 342796059405512292 T^{16} - 2678741989785587832 T^{17} + 20224967504925225228 T^{18} - \)\(14\!\cdots\!08\)\( T^{19} + \)\(10\!\cdots\!24\)\( T^{20} - \)\(72\!\cdots\!62\)\( T^{21} + \)\(48\!\cdots\!24\)\( T^{22} - \)\(30\!\cdots\!82\)\( T^{23} + \)\(18\!\cdots\!52\)\( T^{24} - \)\(10\!\cdots\!06\)\( T^{25} + \)\(61\!\cdots\!00\)\( T^{26} - \)\(31\!\cdots\!90\)\( T^{27} + \)\(15\!\cdots\!51\)\( T^{28} - \)\(65\!\cdots\!86\)\( T^{29} + \)\(26\!\cdots\!05\)\( T^{30} - \)\(87\!\cdots\!60\)\( T^{31} + \)\(28\!\cdots\!17\)\( T^{32} - \)\(56\!\cdots\!66\)\( T^{33} + \)\(12\!\cdots\!19\)\( T^{34} \))(\( 1 - 26 T + 783 T^{2} - 14160 T^{3} + 257095 T^{4} - 3671206 T^{5} + 50837389 T^{6} - 611758990 T^{7} + 7076251900 T^{8} - 74857860786 T^{9} + 761257766508 T^{10} - 7299606737702 T^{11} + 67468601512876 T^{12} - 598892822059442 T^{13} + 5134616184467056 T^{14} - 42679419792637768 T^{15} + 342796059405512292 T^{16} - 2678741989785587832 T^{17} + 20224967504925225228 T^{18} - \)\(14\!\cdots\!08\)\( T^{19} + \)\(10\!\cdots\!24\)\( T^{20} - \)\(72\!\cdots\!62\)\( T^{21} + \)\(48\!\cdots\!24\)\( T^{22} - \)\(30\!\cdots\!82\)\( T^{23} + \)\(18\!\cdots\!52\)\( T^{24} - \)\(10\!\cdots\!06\)\( T^{25} + \)\(61\!\cdots\!00\)\( T^{26} - \)\(31\!\cdots\!90\)\( T^{27} + \)\(15\!\cdots\!51\)\( T^{28} - \)\(65\!\cdots\!86\)\( T^{29} + \)\(26\!\cdots\!05\)\( T^{30} - \)\(87\!\cdots\!60\)\( T^{31} + \)\(28\!\cdots\!17\)\( T^{32} - \)\(56\!\cdots\!66\)\( T^{33} + \)\(12\!\cdots\!19\)\( T^{34} \))(\( 1 + 22 T + 824 T^{2} + 13896 T^{3} + 303556 T^{4} + 4250180 T^{5} + 69609894 T^{6} + 845791746 T^{7} + 11415306109 T^{8} + 123691960454 T^{9} + 1444362792504 T^{10} + 14212499666508 T^{11} + 147900211607016 T^{12} + 1338322790561014 T^{13} + 12658410346977178 T^{14} + 106228299014538404 T^{15} + 925533383039754730 T^{16} + 7236872218327203660 T^{17} + 58568589869867932648 T^{18} + \)\(42\!\cdots\!40\)\( T^{19} + \)\(32\!\cdots\!30\)\( T^{20} + \)\(21\!\cdots\!16\)\( T^{21} + \)\(15\!\cdots\!58\)\( T^{22} + \)\(95\!\cdots\!86\)\( T^{23} + \)\(62\!\cdots\!56\)\( T^{24} + \)\(35\!\cdots\!52\)\( T^{25} + \)\(21\!\cdots\!84\)\( T^{26} + \)\(10\!\cdots\!06\)\( T^{27} + \)\(58\!\cdots\!09\)\( T^{28} + \)\(25\!\cdots\!14\)\( T^{29} + \)\(12\!\cdots\!14\)\( T^{30} + \)\(44\!\cdots\!20\)\( T^{31} + \)\(18\!\cdots\!16\)\( T^{32} + \)\(50\!\cdots\!04\)\( T^{33} + \)\(17\!\cdots\!84\)\( T^{34} + \)\(27\!\cdots\!18\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( 1 + 22 T + 824 T^{2} + 13896 T^{3} + 303556 T^{4} + 4250180 T^{5} + 69609894 T^{6} + 845791746 T^{7} + 11415306109 T^{8} + 123691960454 T^{9} + 1444362792504 T^{10} + 14212499666508 T^{11} + 147900211607016 T^{12} + 1338322790561014 T^{13} + 12658410346977178 T^{14} + 106228299014538404 T^{15} + 925533383039754730 T^{16} + 7236872218327203660 T^{17} + 58568589869867932648 T^{18} + \)\(42\!\cdots\!40\)\( T^{19} + \)\(32\!\cdots\!30\)\( T^{20} + \)\(21\!\cdots\!16\)\( T^{21} + \)\(15\!\cdots\!58\)\( T^{22} + \)\(95\!\cdots\!86\)\( T^{23} + \)\(62\!\cdots\!56\)\( T^{24} + \)\(35\!\cdots\!52\)\( T^{25} + \)\(21\!\cdots\!84\)\( T^{26} + \)\(10\!\cdots\!06\)\( T^{27} + \)\(58\!\cdots\!09\)\( T^{28} + \)\(25\!\cdots\!14\)\( T^{29} + \)\(12\!\cdots\!14\)\( T^{30} + \)\(44\!\cdots\!20\)\( T^{31} + \)\(18\!\cdots\!16\)\( T^{32} + \)\(50\!\cdots\!04\)\( T^{33} + \)\(17\!\cdots\!84\)\( T^{34} + \)\(27\!\cdots\!18\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))
$61$ (\( 1 + 9 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 9 T + 61 T^{2} \))(\( 1 + 2 T + 43 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 3 T + 177 T^{2} + 367 T^{3} + 10797 T^{4} + 11163 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 197 T^{2} + 1099 T^{3} + 12017 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 197 T^{2} + 1099 T^{3} + 12017 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 - 6 T + 106 T^{2} + 137 T^{3} + 2947 T^{4} + 8357 T^{5} + 394426 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 + 12 T + 283 T^{2} + 2059 T^{3} + 29023 T^{4} + 155688 T^{5} + 1770403 T^{6} + 7661539 T^{7} + 64235623 T^{8} + 166150092 T^{9} + 844596301 T^{10} \))(\( 1 + 9 T + 237 T^{2} + 1909 T^{3} + 26984 T^{4} + 162711 T^{5} + 1646024 T^{6} + 7103389 T^{7} + 53794497 T^{8} + 124612569 T^{9} + 844596301 T^{10} \))(\( 1 - 11 T + 269 T^{2} - 2143 T^{3} + 30744 T^{4} - 184469 T^{5} + 1875384 T^{6} - 7974103 T^{7} + 61057889 T^{8} - 152304251 T^{9} + 844596301 T^{10} \))(\( 1 + 24 T + 234 T^{2} + 614 T^{3} - 3901 T^{4} - 4650 T^{5} + 291029 T^{6} - 283650 T^{7} - 14515621 T^{8} + 139366334 T^{9} + 3239926794 T^{10} + 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 - 2 T + 315 T^{2} - 330 T^{3} + 46593 T^{4} - 26774 T^{5} + 4267152 T^{6} - 1720786 T^{7} + 260296272 T^{8} - 99626054 T^{9} + 10575725733 T^{10} - 4569127530 T^{11} + 266047834815 T^{12} - 103040748722 T^{13} + 3142742836021 T^{14} \))(\( 1 - 12 T + 337 T^{2} - 3789 T^{3} + 64344 T^{4} - 633486 T^{5} + 8217694 T^{6} - 71232782 T^{7} + 762471451 T^{8} - 5810882548 T^{9} + 53346743231 T^{10} - 354463835428 T^{11} + 2837156269171 T^{12} - 16168488091142 T^{13} + 113780884510654 T^{14} - 535039932335286 T^{15} + 3315026967884184 T^{16} - 11907852605683569 T^{17} + 64605364480083697 T^{18} - 140329753114009692 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 46 T + 1240 T^{2} - 22894 T^{3} + 321030 T^{4} - 3459735 T^{5} + 28282611 T^{6} - 148203914 T^{7} - 28208497 T^{8} + 11884146591 T^{9} - 167715154065 T^{10} + 1541762390460 T^{11} - 10230624397965 T^{12} + 44220909465111 T^{13} - 6402792857557 T^{14} - 2052007828821674 T^{15} + 23887388633221911 T^{16} - 178246842389854335 T^{17} + 1008914732647821630 T^{18} - 4388947223759751214 T^{19} + 14500741155114334840 T^{20} - 32813773936492599646 T^{21} + 43513917611435838661 T^{22} \))(\( 1 + 15 T + 266 T^{2} + 2382 T^{3} + 23626 T^{4} + 200861 T^{5} + 2082468 T^{6} + 21395262 T^{7} + 206003007 T^{8} + 1614639863 T^{9} + 12990620346 T^{10} + 89101722837 T^{11} + 792427841106 T^{12} + 6008074930223 T^{13} + 46758768531867 T^{14} + 296235395805342 T^{15} + 1758844769750868 T^{16} + 10348433914524821 T^{17} + 74250442243832146 T^{18} + 456646819559523342 T^{19} + 3110642860693881506 T^{20} + 10700143674943239015 T^{21} + 43513917611435838661 T^{22} \))(\( 1 - 7 T + 593 T^{2} - 3927 T^{3} + 167416 T^{4} - 1031253 T^{5} + 29770556 T^{6} - 168091517 T^{7} + 3713280823 T^{8} - 18955731885 T^{9} + 342199261143 T^{10} - 1555760480836 T^{11} + 23891394948090 T^{12} - 94901389330996 T^{13} + 1273323450713103 T^{14} - 4302590978989185 T^{15} + 51413495863607143 T^{16} - 141969473487678617 T^{17} + 1533790190055114716 T^{18} - 3240962977875164313 T^{19} + 32094871512752795896 T^{20} - 45922911706559671707 T^{21} + \)\(42\!\cdots\!93\)\( T^{22} - \)\(30\!\cdots\!27\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 11 T + 490 T^{2} - 5001 T^{3} + 119673 T^{4} - 1146329 T^{5} + 19254380 T^{6} - 173599130 T^{7} + 2280486963 T^{8} - 19300057416 T^{9} + 210805319382 T^{10} - 1659395226105 T^{11} + 15711059245540 T^{12} - 113195807586553 T^{13} + 958374613977940 T^{14} - 6174609636336705 T^{15} + 47848802198645742 T^{16} - 267225526272806856 T^{17} + 1926090853428523863 T^{18} - 8943892166343905930 T^{19} + 60511564807026021980 T^{20} - \)\(21\!\cdots\!49\)\( T^{21} + \)\(13\!\cdots\!93\)\( T^{22} - \)\(35\!\cdots\!01\)\( T^{23} + \)\(21\!\cdots\!90\)\( T^{24} - \)\(29\!\cdots\!31\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 - 11 T + 490 T^{2} - 5001 T^{3} + 119673 T^{4} - 1146329 T^{5} + 19254380 T^{6} - 173599130 T^{7} + 2280486963 T^{8} - 19300057416 T^{9} + 210805319382 T^{10} - 1659395226105 T^{11} + 15711059245540 T^{12} - 113195807586553 T^{13} + 958374613977940 T^{14} - 6174609636336705 T^{15} + 47848802198645742 T^{16} - 267225526272806856 T^{17} + 1926090853428523863 T^{18} - 8943892166343905930 T^{19} + 60511564807026021980 T^{20} - \)\(21\!\cdots\!49\)\( T^{21} + \)\(13\!\cdots\!93\)\( T^{22} - \)\(35\!\cdots\!01\)\( T^{23} + \)\(21\!\cdots\!90\)\( T^{24} - \)\(29\!\cdots\!31\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 + 14 T + 600 T^{2} + 7541 T^{3} + 179490 T^{4} + 2042055 T^{5} + 35770321 T^{6} + 370700862 T^{7} + 5315626580 T^{8} + 50440846068 T^{9} + 623220400671 T^{10} + 5435537507887 T^{11} + 59533197077298 T^{12} + 478036315090669 T^{13} + 4721964958546397 T^{14} + 34883313263269295 T^{15} + 314069507915089891 T^{16} + 2127882109059426995 T^{17} + 17570431610751143237 T^{18} + \)\(10\!\cdots\!89\)\( T^{19} + \)\(82\!\cdots\!18\)\( T^{20} + \)\(45\!\cdots\!87\)\( T^{21} + \)\(32\!\cdots\!31\)\( T^{22} + \)\(15\!\cdots\!28\)\( T^{23} + \)\(10\!\cdots\!80\)\( T^{24} + \)\(43\!\cdots\!42\)\( T^{25} + \)\(25\!\cdots\!21\)\( T^{26} + \)\(88\!\cdots\!55\)\( T^{27} + \)\(47\!\cdots\!90\)\( T^{28} + \)\(12\!\cdots\!21\)\( T^{29} + \)\(59\!\cdots\!00\)\( T^{30} + \)\(84\!\cdots\!14\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 14 T + 600 T^{2} + 7541 T^{3} + 179490 T^{4} + 2042055 T^{5} + 35770321 T^{6} + 370700862 T^{7} + 5315626580 T^{8} + 50440846068 T^{9} + 623220400671 T^{10} + 5435537507887 T^{11} + 59533197077298 T^{12} + 478036315090669 T^{13} + 4721964958546397 T^{14} + 34883313263269295 T^{15} + 314069507915089891 T^{16} + 2127882109059426995 T^{17} + 17570431610751143237 T^{18} + \)\(10\!\cdots\!89\)\( T^{19} + \)\(82\!\cdots\!18\)\( T^{20} + \)\(45\!\cdots\!87\)\( T^{21} + \)\(32\!\cdots\!31\)\( T^{22} + \)\(15\!\cdots\!28\)\( T^{23} + \)\(10\!\cdots\!80\)\( T^{24} + \)\(43\!\cdots\!42\)\( T^{25} + \)\(25\!\cdots\!21\)\( T^{26} + \)\(88\!\cdots\!55\)\( T^{27} + \)\(47\!\cdots\!90\)\( T^{28} + \)\(12\!\cdots\!21\)\( T^{29} + \)\(59\!\cdots\!00\)\( T^{30} + \)\(84\!\cdots\!14\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 15 T + 499 T^{2} + 5551 T^{3} + 105167 T^{4} + 909082 T^{5} + 12852466 T^{6} + 87955430 T^{7} + 1056968463 T^{8} + 5908084086 T^{9} + 68416331191 T^{10} + 365765775694 T^{11} + 4507726065760 T^{12} + 29424307204506 T^{13} + 347426385015624 T^{14} + 2588479430717901 T^{15} + 25938134067672615 T^{16} + 183296910147319585 T^{17} + 1582226178128029515 T^{18} + 9631731961701309621 T^{19} + 78859188297231351144 T^{20} + \)\(40\!\cdots\!46\)\( T^{21} + \)\(38\!\cdots\!60\)\( T^{22} + \)\(18\!\cdots\!34\)\( T^{23} + \)\(21\!\cdots\!11\)\( T^{24} + \)\(11\!\cdots\!66\)\( T^{25} + \)\(12\!\cdots\!83\)\( T^{26} + \)\(62\!\cdots\!30\)\( T^{27} + \)\(55\!\cdots\!26\)\( T^{28} + \)\(24\!\cdots\!22\)\( T^{29} + \)\(17\!\cdots\!27\)\( T^{30} + \)\(54\!\cdots\!91\)\( T^{31} + \)\(30\!\cdots\!99\)\( T^{32} + \)\(55\!\cdots\!15\)\( T^{33} + \)\(22\!\cdots\!21\)\( T^{34} \))(\( 1 + 15 T + 499 T^{2} + 5551 T^{3} + 105167 T^{4} + 909082 T^{5} + 12852466 T^{6} + 87955430 T^{7} + 1056968463 T^{8} + 5908084086 T^{9} + 68416331191 T^{10} + 365765775694 T^{11} + 4507726065760 T^{12} + 29424307204506 T^{13} + 347426385015624 T^{14} + 2588479430717901 T^{15} + 25938134067672615 T^{16} + 183296910147319585 T^{17} + 1582226178128029515 T^{18} + 9631731961701309621 T^{19} + 78859188297231351144 T^{20} + \)\(40\!\cdots\!46\)\( T^{21} + \)\(38\!\cdots\!60\)\( T^{22} + \)\(18\!\cdots\!34\)\( T^{23} + \)\(21\!\cdots\!11\)\( T^{24} + \)\(11\!\cdots\!66\)\( T^{25} + \)\(12\!\cdots\!83\)\( T^{26} + \)\(62\!\cdots\!30\)\( T^{27} + \)\(55\!\cdots\!26\)\( T^{28} + \)\(24\!\cdots\!22\)\( T^{29} + \)\(17\!\cdots\!27\)\( T^{30} + \)\(54\!\cdots\!91\)\( T^{31} + \)\(30\!\cdots\!99\)\( T^{32} + \)\(55\!\cdots\!15\)\( T^{33} + \)\(22\!\cdots\!21\)\( T^{34} \))(\( 1 + 8 T + 563 T^{2} + 3349 T^{3} + 153233 T^{4} + 714676 T^{5} + 28034603 T^{6} + 108219990 T^{7} + 3932411823 T^{8} + 13181649219 T^{9} + 450225963168 T^{10} + 1362871770311 T^{11} + 43588688758789 T^{12} + 122531718718988 T^{13} + 3647747263774834 T^{14} + 9659598527542655 T^{15} + 267530517902107160 T^{16} + 669415911890919925 T^{17} + 17336851412800275139 T^{18} + 40834370625346115425 T^{19} + \)\(99\!\cdots\!60\)\( T^{20} + \)\(21\!\cdots\!55\)\( T^{21} + \)\(50\!\cdots\!94\)\( T^{22} + \)\(10\!\cdots\!88\)\( T^{23} + \)\(22\!\cdots\!29\)\( T^{24} + \)\(42\!\cdots\!31\)\( T^{25} + \)\(86\!\cdots\!08\)\( T^{26} + \)\(15\!\cdots\!79\)\( T^{27} + \)\(28\!\cdots\!23\)\( T^{28} + \)\(47\!\cdots\!90\)\( T^{29} + \)\(74\!\cdots\!63\)\( T^{30} + \)\(11\!\cdots\!56\)\( T^{31} + \)\(15\!\cdots\!53\)\( T^{32} + \)\(20\!\cdots\!49\)\( T^{33} + \)\(20\!\cdots\!43\)\( T^{34} + \)\(17\!\cdots\!68\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( 1 + 8 T + 563 T^{2} + 3349 T^{3} + 153233 T^{4} + 714676 T^{5} + 28034603 T^{6} + 108219990 T^{7} + 3932411823 T^{8} + 13181649219 T^{9} + 450225963168 T^{10} + 1362871770311 T^{11} + 43588688758789 T^{12} + 122531718718988 T^{13} + 3647747263774834 T^{14} + 9659598527542655 T^{15} + 267530517902107160 T^{16} + 669415911890919925 T^{17} + 17336851412800275139 T^{18} + 40834370625346115425 T^{19} + \)\(99\!\cdots\!60\)\( T^{20} + \)\(21\!\cdots\!55\)\( T^{21} + \)\(50\!\cdots\!94\)\( T^{22} + \)\(10\!\cdots\!88\)\( T^{23} + \)\(22\!\cdots\!29\)\( T^{24} + \)\(42\!\cdots\!31\)\( T^{25} + \)\(86\!\cdots\!08\)\( T^{26} + \)\(15\!\cdots\!79\)\( T^{27} + \)\(28\!\cdots\!23\)\( T^{28} + \)\(47\!\cdots\!90\)\( T^{29} + \)\(74\!\cdots\!63\)\( T^{30} + \)\(11\!\cdots\!56\)\( T^{31} + \)\(15\!\cdots\!53\)\( T^{32} + \)\(20\!\cdots\!49\)\( T^{33} + \)\(20\!\cdots\!43\)\( T^{34} + \)\(17\!\cdots\!68\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 15 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 - 6 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 6 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 - 3 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 150 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 10 T + 154 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 + 15 T + 213 T^{2} + 1829 T^{3} + 14271 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 - 3 T + 113 T^{2} - 377 T^{3} + 7571 T^{4} - 13467 T^{5} + 300763 T^{6} \))(\( 1 + 3 T + 113 T^{2} + 377 T^{3} + 7571 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 - 50 T + 1178 T^{2} - 17099 T^{3} + 167983 T^{4} - 1145633 T^{5} + 5288042 T^{6} - 15038150 T^{7} + 20151121 T^{8} \))(\( 1 + 18 T + 431 T^{2} + 4891 T^{3} + 63485 T^{4} + 492490 T^{5} + 4253495 T^{6} + 21955699 T^{7} + 129628853 T^{8} + 362720178 T^{9} + 1350125107 T^{10} \))(\( 1 - 5 T + 213 T^{2} - 899 T^{3} + 23434 T^{4} - 85879 T^{5} + 1570078 T^{6} - 4035611 T^{7} + 64062519 T^{8} - 100755605 T^{9} + 1350125107 T^{10} \))(\( 1 - 5 T + 247 T^{2} - 1297 T^{3} + 28946 T^{4} - 126033 T^{5} + 1939382 T^{6} - 5822233 T^{7} + 74288461 T^{8} - 100755605 T^{9} + 1350125107 T^{10} \))(\( 1 - 4 T + 190 T^{2} + 52 T^{3} + 19175 T^{4} + 13448 T^{5} + 1629764 T^{6} + 901016 T^{7} + 86076575 T^{8} + 15639676 T^{9} + 3828712990 T^{10} - 5400500428 T^{11} + 90458382169 T^{12} \))(\( 1 + 30 T + 525 T^{2} + 7348 T^{3} + 86565 T^{4} + 911826 T^{5} + 8641409 T^{6} + 73652376 T^{7} + 578974403 T^{8} + 4093186914 T^{9} + 26035549095 T^{10} + 148070437108 T^{11} + 708815681175 T^{12} + 2713751465070 T^{13} + 6060711605323 T^{14} \))(\( 1 - 10 T + 551 T^{2} - 5307 T^{3} + 144982 T^{4} - 1279672 T^{5} + 23724168 T^{6} - 185788626 T^{7} + 2647902301 T^{8} - 17981008162 T^{9} + 209527426995 T^{10} - 1204727546854 T^{11} + 11886433429189 T^{12} - 55878344521638 T^{13} + 478068579992328 T^{14} - 1727717295924904 T^{15} + 13114837163625958 T^{16} - 32164196489449161 T^{17} + 223743290333709191 T^{18} - 272065343962949470 T^{19} + 1822837804551761449 T^{20} \))(\( 1 + 22 T + 472 T^{2} + 6324 T^{3} + 88560 T^{4} + 990033 T^{5} + 11697889 T^{6} + 117706808 T^{7} + 1215246407 T^{8} + 10886853057 T^{9} + 99147861003 T^{10} + 801234390408 T^{11} + 6642906687201 T^{12} + 48871083372873 T^{13} + 365501155108541 T^{14} + 2371924130531768 T^{15} + 15793613637799123 T^{16} + 89556783473921577 T^{17} + 536736619767404880 T^{18} + 2567971992868197684 T^{19} + 12841484235051214984 T^{20} + 40102431700138751878 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 - 39 T + 1118 T^{2} - 23508 T^{3} + 418040 T^{4} - 6343947 T^{5} + 85693984 T^{6} - 1035787914 T^{7} + 11406241679 T^{8} - 114641509197 T^{9} + 1061206997276 T^{10} - 9036433683255 T^{11} + 71100868817492 T^{12} - 514625734785333 T^{13} + 3430575466101077 T^{14} - 20872287585351594 T^{15} + 115697599317256288 T^{16} - 573863182185881043 T^{17} + 2533619879489226920 T^{18} - 9545838964001516628 T^{19} + 30416905455057750746 T^{20} - 71090674377518696511 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + 33 T + 955 T^{2} + 18677 T^{3} + 336058 T^{4} + 4968035 T^{5} + 68962144 T^{6} + 837311823 T^{7} + 9636768813 T^{8} + 99692938005 T^{9} + 982655762085 T^{10} + 8814422671130 T^{11} + 75497668846344 T^{12} + 590566318965710 T^{13} + 4411141715999565 T^{14} + 29983947113197815 T^{15} + 194191694399789373 T^{16} + 1130475714620240061 T^{17} + 6238203977145610336 T^{18} + 30109827380150850305 T^{19} + \)\(13\!\cdots\!78\)\( T^{20} + \)\(50\!\cdots\!19\)\( T^{21} + \)\(17\!\cdots\!95\)\( T^{22} + \)\(40\!\cdots\!39\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 37 T + 1174 T^{2} + 25278 T^{3} + 479765 T^{4} + 7428447 T^{5} + 103984694 T^{6} + 1262470903 T^{7} + 14151974663 T^{8} + 142411967059 T^{9} + 1356416271323 T^{10} + 11972453471370 T^{11} + 103171216272266 T^{12} + 847323115635868 T^{13} + 6912471490241822 T^{14} + 53744343632979930 T^{15} + 407959827011919449 T^{16} + 2869760780053923139 T^{17} + 19106936306144163941 T^{18} + \)\(11\!\cdots\!07\)\( T^{19} + \)\(63\!\cdots\!62\)\( T^{20} + \)\(30\!\cdots\!27\)\( T^{21} + \)\(13\!\cdots\!55\)\( T^{22} + \)\(46\!\cdots\!22\)\( T^{23} + \)\(14\!\cdots\!42\)\( T^{24} + \)\(30\!\cdots\!57\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 - 37 T + 1174 T^{2} - 25278 T^{3} + 479765 T^{4} - 7428447 T^{5} + 103984694 T^{6} - 1262470903 T^{7} + 14151974663 T^{8} - 142411967059 T^{9} + 1356416271323 T^{10} - 11972453471370 T^{11} + 103171216272266 T^{12} - 847323115635868 T^{13} + 6912471490241822 T^{14} - 53744343632979930 T^{15} + 407959827011919449 T^{16} - 2869760780053923139 T^{17} + 19106936306144163941 T^{18} - \)\(11\!\cdots\!07\)\( T^{19} + \)\(63\!\cdots\!62\)\( T^{20} - \)\(30\!\cdots\!27\)\( T^{21} + \)\(13\!\cdots\!55\)\( T^{22} - \)\(46\!\cdots\!22\)\( T^{23} + \)\(14\!\cdots\!42\)\( T^{24} - \)\(30\!\cdots\!57\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 + 44 T + 1505 T^{2} + 36688 T^{3} + 775114 T^{4} + 13856264 T^{5} + 224305471 T^{6} + 3254706504 T^{7} + 43765087844 T^{8} + 542188723975 T^{9} + 6310571434377 T^{10} + 68710368539790 T^{11} + 708891754757131 T^{12} + 6903152840436252 T^{13} + 64025421334343771 T^{14} + 563190350128909341 T^{15} + 4729998999075240564 T^{16} + 37733753458636925847 T^{17} + \)\(28\!\cdots\!19\)\( T^{18} + \)\(20\!\cdots\!76\)\( T^{19} + \)\(14\!\cdots\!51\)\( T^{20} + \)\(92\!\cdots\!30\)\( T^{21} + \)\(57\!\cdots\!13\)\( T^{22} + \)\(32\!\cdots\!25\)\( T^{23} + \)\(17\!\cdots\!04\)\( T^{24} + \)\(88\!\cdots\!88\)\( T^{25} + \)\(40\!\cdots\!79\)\( T^{26} + \)\(16\!\cdots\!12\)\( T^{27} + \)\(63\!\cdots\!54\)\( T^{28} + \)\(20\!\cdots\!56\)\( T^{29} + \)\(55\!\cdots\!45\)\( T^{30} + \)\(10\!\cdots\!92\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 44 T + 1505 T^{2} - 36688 T^{3} + 775114 T^{4} - 13856264 T^{5} + 224305471 T^{6} - 3254706504 T^{7} + 43765087844 T^{8} - 542188723975 T^{9} + 6310571434377 T^{10} - 68710368539790 T^{11} + 708891754757131 T^{12} - 6903152840436252 T^{13} + 64025421334343771 T^{14} - 563190350128909341 T^{15} + 4729998999075240564 T^{16} - 37733753458636925847 T^{17} + \)\(28\!\cdots\!19\)\( T^{18} - \)\(20\!\cdots\!76\)\( T^{19} + \)\(14\!\cdots\!51\)\( T^{20} - \)\(92\!\cdots\!30\)\( T^{21} + \)\(57\!\cdots\!13\)\( T^{22} - \)\(32\!\cdots\!25\)\( T^{23} + \)\(17\!\cdots\!04\)\( T^{24} - \)\(88\!\cdots\!88\)\( T^{25} + \)\(40\!\cdots\!79\)\( T^{26} - \)\(16\!\cdots\!12\)\( T^{27} + \)\(63\!\cdots\!54\)\( T^{28} - \)\(20\!\cdots\!56\)\( T^{29} + \)\(55\!\cdots\!45\)\( T^{30} - \)\(10\!\cdots\!92\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 35 T + 1186 T^{2} + 26119 T^{3} + 540603 T^{4} + 9027260 T^{5} + 142362417 T^{6} + 1951358291 T^{7} + 25453796751 T^{8} + 299229554291 T^{9} + 3373678364176 T^{10} + 35046491066592 T^{11} + 352158983577330 T^{12} + 3314674328670029 T^{13} + 30469595133480404 T^{14} + 265895867552300394 T^{15} + 2286095915261451350 T^{16} + 18816804590572263098 T^{17} + \)\(15\!\cdots\!50\)\( T^{18} + \)\(11\!\cdots\!66\)\( T^{19} + \)\(91\!\cdots\!52\)\( T^{20} + \)\(66\!\cdots\!09\)\( T^{21} + \)\(47\!\cdots\!10\)\( T^{22} + \)\(31\!\cdots\!48\)\( T^{23} + \)\(20\!\cdots\!48\)\( T^{24} + \)\(12\!\cdots\!31\)\( T^{25} + \)\(69\!\cdots\!97\)\( T^{26} + \)\(35\!\cdots\!59\)\( T^{27} + \)\(17\!\cdots\!11\)\( T^{28} + \)\(73\!\cdots\!60\)\( T^{29} + \)\(29\!\cdots\!61\)\( T^{30} + \)\(95\!\cdots\!51\)\( T^{31} + \)\(29\!\cdots\!98\)\( T^{32} + \)\(57\!\cdots\!35\)\( T^{33} + \)\(11\!\cdots\!27\)\( T^{34} \))(\( 1 - 35 T + 1186 T^{2} - 26119 T^{3} + 540603 T^{4} - 9027260 T^{5} + 142362417 T^{6} - 1951358291 T^{7} + 25453796751 T^{8} - 299229554291 T^{9} + 3373678364176 T^{10} - 35046491066592 T^{11} + 352158983577330 T^{12} - 3314674328670029 T^{13} + 30469595133480404 T^{14} - 265895867552300394 T^{15} + 2286095915261451350 T^{16} - 18816804590572263098 T^{17} + \)\(15\!\cdots\!50\)\( T^{18} - \)\(11\!\cdots\!66\)\( T^{19} + \)\(91\!\cdots\!52\)\( T^{20} - \)\(66\!\cdots\!09\)\( T^{21} + \)\(47\!\cdots\!10\)\( T^{22} - \)\(31\!\cdots\!48\)\( T^{23} + \)\(20\!\cdots\!48\)\( T^{24} - \)\(12\!\cdots\!31\)\( T^{25} + \)\(69\!\cdots\!97\)\( T^{26} - \)\(35\!\cdots\!59\)\( T^{27} + \)\(17\!\cdots\!11\)\( T^{28} - \)\(73\!\cdots\!60\)\( T^{29} + \)\(29\!\cdots\!61\)\( T^{30} - \)\(95\!\cdots\!51\)\( T^{31} + \)\(29\!\cdots\!98\)\( T^{32} - \)\(57\!\cdots\!35\)\( T^{33} + \)\(11\!\cdots\!27\)\( T^{34} \))(\( 1 + 34 T + 1204 T^{2} + 26010 T^{3} + 548900 T^{4} + 8914870 T^{5} + 141073928 T^{6} + 1867253362 T^{7} + 24320223311 T^{8} + 276717328039 T^{9} + 3143205701312 T^{10} + 32078574942125 T^{11} + 331434072732956 T^{12} + 3132500820250197 T^{13} + 30206481128679497 T^{14} + 268602082749058363 T^{15} + 2436808182011516980 T^{16} + 20408538840158842320 T^{17} + \)\(17\!\cdots\!50\)\( T^{18} + \)\(13\!\cdots\!40\)\( T^{19} + \)\(10\!\cdots\!20\)\( T^{20} + \)\(80\!\cdots\!69\)\( T^{21} + \)\(60\!\cdots\!37\)\( T^{22} + \)\(42\!\cdots\!79\)\( T^{23} + \)\(29\!\cdots\!64\)\( T^{24} + \)\(19\!\cdots\!75\)\( T^{25} + \)\(12\!\cdots\!92\)\( T^{26} + \)\(75\!\cdots\!33\)\( T^{27} + \)\(44\!\cdots\!39\)\( T^{28} + \)\(22\!\cdots\!46\)\( T^{29} + \)\(11\!\cdots\!08\)\( T^{30} + \)\(48\!\cdots\!90\)\( T^{31} + \)\(20\!\cdots\!00\)\( T^{32} + \)\(64\!\cdots\!30\)\( T^{33} + \)\(19\!\cdots\!24\)\( T^{34} + \)\(37\!\cdots\!18\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( 1 - 34 T + 1204 T^{2} - 26010 T^{3} + 548900 T^{4} - 8914870 T^{5} + 141073928 T^{6} - 1867253362 T^{7} + 24320223311 T^{8} - 276717328039 T^{9} + 3143205701312 T^{10} - 32078574942125 T^{11} + 331434072732956 T^{12} - 3132500820250197 T^{13} + 30206481128679497 T^{14} - 268602082749058363 T^{15} + 2436808182011516980 T^{16} - 20408538840158842320 T^{17} + \)\(17\!\cdots\!50\)\( T^{18} - \)\(13\!\cdots\!40\)\( T^{19} + \)\(10\!\cdots\!20\)\( T^{20} - \)\(80\!\cdots\!69\)\( T^{21} + \)\(60\!\cdots\!37\)\( T^{22} - \)\(42\!\cdots\!79\)\( T^{23} + \)\(29\!\cdots\!64\)\( T^{24} - \)\(19\!\cdots\!75\)\( T^{25} + \)\(12\!\cdots\!92\)\( T^{26} - \)\(75\!\cdots\!33\)\( T^{27} + \)\(44\!\cdots\!39\)\( T^{28} - \)\(22\!\cdots\!46\)\( T^{29} + \)\(11\!\cdots\!08\)\( T^{30} - \)\(48\!\cdots\!90\)\( T^{31} + \)\(20\!\cdots\!00\)\( T^{32} - \)\(64\!\cdots\!30\)\( T^{33} + \)\(19\!\cdots\!24\)\( T^{34} - \)\(37\!\cdots\!18\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))
$71$ (\( 1 + 6 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 - 7 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 7 T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 4 T + 101 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 153 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 105 T^{2} + 432 T^{3} + 7455 T^{4} + 60492 T^{5} + 357911 T^{6} \))(\( 1 - 17 T + 292 T^{2} - 2517 T^{3} + 20732 T^{4} - 85697 T^{5} + 357911 T^{6} \))(\( 1 - 17 T + 292 T^{2} - 2517 T^{3} + 20732 T^{4} - 85697 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 194 T^{2} - 1325 T^{3} + 17463 T^{4} - 94075 T^{5} + 977954 T^{6} - 2505377 T^{7} + 25411681 T^{8} \))(\( 1 - 15 T + 379 T^{2} - 4032 T^{3} + 55311 T^{4} - 421346 T^{5} + 3927081 T^{6} - 20325312 T^{7} + 135648269 T^{8} - 381175215 T^{9} + 1804229351 T^{10} \))(\( 1 + 18 T + 446 T^{2} + 5254 T^{3} + 69846 T^{4} + 564593 T^{5} + 4959066 T^{6} + 26485414 T^{7} + 159628306 T^{8} + 457410258 T^{9} + 1804229351 T^{10} \))(\( 1 - 22 T + 436 T^{2} - 5594 T^{3} + 65346 T^{4} - 580159 T^{5} + 4639566 T^{6} - 28199354 T^{7} + 156049196 T^{8} - 559056982 T^{9} + 1804229351 T^{10} \))(\( 1 - 36 T + 701 T^{2} - 9448 T^{3} + 100523 T^{4} - 917924 T^{5} + 7863710 T^{6} - 65172604 T^{7} + 506736443 T^{8} - 3381543128 T^{9} + 17813588381 T^{10} - 64952256636 T^{11} + 128100283921 T^{12} \))(\( 1 - 32 T + 736 T^{2} - 12628 T^{3} + 180026 T^{4} - 2154944 T^{5} + 22403571 T^{6} - 201400600 T^{7} + 1590653541 T^{8} - 10863072704 T^{9} + 64433285686 T^{10} - 320898707668 T^{11} + 1327912802336 T^{12} - 4099209085472 T^{13} + 9095120158391 T^{14} \))(\( 1 + 45 T + 1432 T^{2} + 32353 T^{3} + 607128 T^{4} + 9471580 T^{5} + 129752402 T^{6} + 1558409016 T^{7} + 16877669687 T^{8} + 164009805688 T^{9} + 1453925053388 T^{10} + 11644696203848 T^{11} + 85080332892167 T^{12} + 557771729325576 T^{13} + 3297226648607762 T^{14} + 17088902636344580 T^{15} + 77773269176388888 T^{16} + 294254422484424023 T^{17} + 924719056743929752 T^{18} + 2063182532330206395 T^{19} + 3255243551009881201 T^{20} \))(\( 1 - 18 T + 478 T^{2} - 6672 T^{3} + 112961 T^{4} - 1324489 T^{5} + 17523136 T^{6} - 178250398 T^{7} + 1997026223 T^{8} - 18030965381 T^{9} + 177283910683 T^{10} - 1432585405892 T^{11} + 12587157658493 T^{12} - 90894096485621 T^{13} + 714757652500153 T^{14} - 4529642252099038 T^{15} + 31615756292764736 T^{16} - 169667416950241369 T^{17} + 1027393868212005751 T^{18} - 4308467560471717392 T^{19} + 21915583343418636818 T^{20} - 58594383918177861618 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + 8 T + 542 T^{2} + 4702 T^{3} + 146225 T^{4} + 1261511 T^{5} + 25761068 T^{6} + 208608138 T^{7} + 3246948563 T^{8} + 23853038225 T^{9} + 304530111235 T^{10} + 1976857728464 T^{11} + 21621637897685 T^{12} + 120243165692225 T^{13} + 1162118607131893 T^{14} + 5301083456859978 T^{15} + 46478874998706868 T^{16} + 161599917269464631 T^{17} + 1329933945160723975 T^{18} + 3036333103917568222 T^{19} + 24849887389399374802 T^{20} + 26041948408079049608 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + 375 T^{2} + 1838 T^{3} + 64529 T^{4} + 695645 T^{5} + 8034081 T^{6} + 118229207 T^{7} + 992593671 T^{8} + 12222243067 T^{9} + 113412835960 T^{10} + 948185851635 T^{11} + 9667401483662 T^{12} + 67321195466085 T^{13} + 571714106074360 T^{14} + 4374475238353037 T^{15} + 25223473730070951 T^{16} + 213312605414854657 T^{17} + 1029168057144311601 T^{18} + 6326974862583907195 T^{19} + 41669829617757711569 T^{20} + 84269544320509318978 T^{21} + \)\(12\!\cdots\!75\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 12 T + 444 T^{2} - 3109 T^{3} + 79975 T^{4} - 277885 T^{5} + 9075003 T^{6} - 4271713 T^{7} + 838370168 T^{8} + 1713918771 T^{9} + 69396400277 T^{10} + 262333496684 T^{11} + 5258214638828 T^{12} + 22893449626776 T^{13} + 373333239356788 T^{14} + 1322423156784044 T^{15} + 24837735019541347 T^{16} + 43553557068564051 T^{17} + 1512612064108400968 T^{18} - 547207648129026673 T^{19} + 82538242722758800173 T^{20} - \)\(17\!\cdots\!85\)\( T^{21} + \)\(36\!\cdots\!25\)\( T^{22} - \)\(10\!\cdots\!09\)\( T^{23} + \)\(10\!\cdots\!24\)\( T^{24} - \)\(19\!\cdots\!92\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 - 12 T + 444 T^{2} - 3109 T^{3} + 79975 T^{4} - 277885 T^{5} + 9075003 T^{6} - 4271713 T^{7} + 838370168 T^{8} + 1713918771 T^{9} + 69396400277 T^{10} + 262333496684 T^{11} + 5258214638828 T^{12} + 22893449626776 T^{13} + 373333239356788 T^{14} + 1322423156784044 T^{15} + 24837735019541347 T^{16} + 43553557068564051 T^{17} + 1512612064108400968 T^{18} - 547207648129026673 T^{19} + 82538242722758800173 T^{20} - \)\(17\!\cdots\!85\)\( T^{21} + \)\(36\!\cdots\!25\)\( T^{22} - \)\(10\!\cdots\!09\)\( T^{23} + \)\(10\!\cdots\!24\)\( T^{24} - \)\(19\!\cdots\!92\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 + 5 T + 370 T^{2} + 3272 T^{3} + 84814 T^{4} + 863263 T^{5} + 15134158 T^{6} + 152747751 T^{7} + 2164447635 T^{8} + 21088308136 T^{9} + 255681746257 T^{10} + 2383501872177 T^{11} + 25767763468973 T^{12} + 226918495810324 T^{13} + 2243633886036079 T^{14} + 18598135205337748 T^{15} + 170243939222284998 T^{16} + 1320467599578980108 T^{17} + 11310158419507874239 T^{18} + 81216625753968873164 T^{19} + \)\(65\!\cdots\!13\)\( T^{20} + \)\(43\!\cdots\!27\)\( T^{21} + \)\(32\!\cdots\!97\)\( T^{22} + \)\(19\!\cdots\!76\)\( T^{23} + \)\(13\!\cdots\!35\)\( T^{24} + \)\(70\!\cdots\!81\)\( T^{25} + \)\(49\!\cdots\!58\)\( T^{26} + \)\(19\!\cdots\!73\)\( T^{27} + \)\(13\!\cdots\!74\)\( T^{28} + \)\(38\!\cdots\!92\)\( T^{29} + \)\(30\!\cdots\!70\)\( T^{30} + \)\(29\!\cdots\!55\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 + 5 T + 370 T^{2} + 3272 T^{3} + 84814 T^{4} + 863263 T^{5} + 15134158 T^{6} + 152747751 T^{7} + 2164447635 T^{8} + 21088308136 T^{9} + 255681746257 T^{10} + 2383501872177 T^{11} + 25767763468973 T^{12} + 226918495810324 T^{13} + 2243633886036079 T^{14} + 18598135205337748 T^{15} + 170243939222284998 T^{16} + 1320467599578980108 T^{17} + 11310158419507874239 T^{18} + 81216625753968873164 T^{19} + \)\(65\!\cdots\!13\)\( T^{20} + \)\(43\!\cdots\!27\)\( T^{21} + \)\(32\!\cdots\!97\)\( T^{22} + \)\(19\!\cdots\!76\)\( T^{23} + \)\(13\!\cdots\!35\)\( T^{24} + \)\(70\!\cdots\!81\)\( T^{25} + \)\(49\!\cdots\!58\)\( T^{26} + \)\(19\!\cdots\!73\)\( T^{27} + \)\(13\!\cdots\!74\)\( T^{28} + \)\(38\!\cdots\!92\)\( T^{29} + \)\(30\!\cdots\!70\)\( T^{30} + \)\(29\!\cdots\!55\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 15 T + 773 T^{2} - 10473 T^{3} + 300278 T^{4} - 3711431 T^{5} + 77425998 T^{6} - 877950290 T^{7} + 14790723859 T^{8} - 154427498519 T^{9} + 2216658744332 T^{10} - 21354964224987 T^{11} + 269494426142660 T^{12} - 2397184544074337 T^{13} + 27123687369803616 T^{14} - 222569938698374042 T^{15} + 2286647809420236965 T^{16} - 17262689736959586276 T^{17} + \)\(16\!\cdots\!15\)\( T^{18} - \)\(11\!\cdots\!22\)\( T^{19} + \)\(97\!\cdots\!76\)\( T^{20} - \)\(60\!\cdots\!97\)\( T^{21} + \)\(48\!\cdots\!60\)\( T^{22} - \)\(27\!\cdots\!27\)\( T^{23} + \)\(20\!\cdots\!12\)\( T^{24} - \)\(99\!\cdots\!59\)\( T^{25} + \)\(67\!\cdots\!29\)\( T^{26} - \)\(28\!\cdots\!90\)\( T^{27} + \)\(17\!\cdots\!58\)\( T^{28} - \)\(60\!\cdots\!71\)\( T^{29} + \)\(34\!\cdots\!58\)\( T^{30} - \)\(86\!\cdots\!13\)\( T^{31} + \)\(45\!\cdots\!23\)\( T^{32} - \)\(62\!\cdots\!15\)\( T^{33} + \)\(29\!\cdots\!91\)\( T^{34} \))(\( 1 - 15 T + 773 T^{2} - 10473 T^{3} + 300278 T^{4} - 3711431 T^{5} + 77425998 T^{6} - 877950290 T^{7} + 14790723859 T^{8} - 154427498519 T^{9} + 2216658744332 T^{10} - 21354964224987 T^{11} + 269494426142660 T^{12} - 2397184544074337 T^{13} + 27123687369803616 T^{14} - 222569938698374042 T^{15} + 2286647809420236965 T^{16} - 17262689736959586276 T^{17} + \)\(16\!\cdots\!15\)\( T^{18} - \)\(11\!\cdots\!22\)\( T^{19} + \)\(97\!\cdots\!76\)\( T^{20} - \)\(60\!\cdots\!97\)\( T^{21} + \)\(48\!\cdots\!60\)\( T^{22} - \)\(27\!\cdots\!27\)\( T^{23} + \)\(20\!\cdots\!12\)\( T^{24} - \)\(99\!\cdots\!59\)\( T^{25} + \)\(67\!\cdots\!29\)\( T^{26} - \)\(28\!\cdots\!90\)\( T^{27} + \)\(17\!\cdots\!58\)\( T^{28} - \)\(60\!\cdots\!71\)\( T^{29} + \)\(34\!\cdots\!58\)\( T^{30} - \)\(86\!\cdots\!13\)\( T^{31} + \)\(45\!\cdots\!23\)\( T^{32} - \)\(62\!\cdots\!15\)\( T^{33} + \)\(29\!\cdots\!91\)\( T^{34} \))(\( 1 + 23 T + 1062 T^{2} + 18948 T^{3} + 507655 T^{4} + 7537728 T^{5} + 151014556 T^{6} + 1940964605 T^{7} + 31987209559 T^{8} + 364654894965 T^{9} + 5189507978771 T^{10} + 53333186956674 T^{11} + 674569227862026 T^{12} + 6320860750739220 T^{13} + 72368241868000798 T^{14} + 623069739638771455 T^{15} + 6533084903640154999 T^{16} + 51919207038985132594 T^{17} + \)\(50\!\cdots\!82\)\( T^{18} + \)\(36\!\cdots\!74\)\( T^{19} + \)\(32\!\cdots\!59\)\( T^{20} + \)\(22\!\cdots\!05\)\( T^{21} + \)\(18\!\cdots\!38\)\( T^{22} + \)\(11\!\cdots\!20\)\( T^{23} + \)\(86\!\cdots\!46\)\( T^{24} + \)\(48\!\cdots\!34\)\( T^{25} + \)\(33\!\cdots\!31\)\( T^{26} + \)\(16\!\cdots\!15\)\( T^{27} + \)\(10\!\cdots\!59\)\( T^{28} + \)\(44\!\cdots\!55\)\( T^{29} + \)\(24\!\cdots\!96\)\( T^{30} + \)\(87\!\cdots\!08\)\( T^{31} + \)\(41\!\cdots\!55\)\( T^{32} + \)\(11\!\cdots\!48\)\( T^{33} + \)\(44\!\cdots\!02\)\( T^{34} + \)\(68\!\cdots\!93\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 + 23 T + 1062 T^{2} + 18948 T^{3} + 507655 T^{4} + 7537728 T^{5} + 151014556 T^{6} + 1940964605 T^{7} + 31987209559 T^{8} + 364654894965 T^{9} + 5189507978771 T^{10} + 53333186956674 T^{11} + 674569227862026 T^{12} + 6320860750739220 T^{13} + 72368241868000798 T^{14} + 623069739638771455 T^{15} + 6533084903640154999 T^{16} + 51919207038985132594 T^{17} + \)\(50\!\cdots\!82\)\( T^{18} + \)\(36\!\cdots\!74\)\( T^{19} + \)\(32\!\cdots\!59\)\( T^{20} + \)\(22\!\cdots\!05\)\( T^{21} + \)\(18\!\cdots\!38\)\( T^{22} + \)\(11\!\cdots\!20\)\( T^{23} + \)\(86\!\cdots\!46\)\( T^{24} + \)\(48\!\cdots\!34\)\( T^{25} + \)\(33\!\cdots\!31\)\( T^{26} + \)\(16\!\cdots\!15\)\( T^{27} + \)\(10\!\cdots\!59\)\( T^{28} + \)\(44\!\cdots\!55\)\( T^{29} + \)\(24\!\cdots\!96\)\( T^{30} + \)\(87\!\cdots\!08\)\( T^{31} + \)\(41\!\cdots\!55\)\( T^{32} + \)\(11\!\cdots\!48\)\( T^{33} + \)\(44\!\cdots\!02\)\( T^{34} + \)\(68\!\cdots\!93\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 5 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 6 T + 110 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 + 15 T + 177 T^{2} + 1883 T^{3} + 12921 T^{4} + 79935 T^{5} + 389017 T^{6} \))(\( 1 + 6 T + 62 T^{2} - 299 T^{3} + 4526 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 62 T^{2} + 299 T^{3} + 4526 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 - T + 219 T^{2} - 78 T^{3} + 21995 T^{4} - 5694 T^{5} + 1167051 T^{6} - 389017 T^{7} + 28398241 T^{8} \))(\( 1 - 13 T + 300 T^{2} - 3027 T^{3} + 40322 T^{4} - 312366 T^{5} + 2943506 T^{6} - 16130883 T^{7} + 116705100 T^{8} - 369177133 T^{9} + 2073071593 T^{10} \))(\( 1 - 24 T + 499 T^{2} - 6298 T^{3} + 73882 T^{4} - 642377 T^{5} + 5393386 T^{6} - 33562042 T^{7} + 194119483 T^{8} - 681557784 T^{9} + 2073071593 T^{10} \))(\( 1 - 6 T + 259 T^{2} - 934 T^{3} + 29558 T^{4} - 74731 T^{5} + 2157734 T^{6} - 4977286 T^{7} + 100755403 T^{8} - 170389446 T^{9} + 2073071593 T^{10} \))(\( 1 - 26 T + 474 T^{2} - 6466 T^{3} + 78623 T^{4} - 792436 T^{5} + 7258924 T^{6} - 57847828 T^{7} + 418981967 T^{8} - 2515383922 T^{9} + 13460766234 T^{10} - 53899861418 T^{11} + 151334226289 T^{12} \))(\( 1 - 12 T + 399 T^{2} - 4480 T^{3} + 77349 T^{4} - 726932 T^{5} + 9008923 T^{6} - 67744320 T^{7} + 657651379 T^{8} - 3873820628 T^{9} + 30090075933 T^{10} - 127224119680 T^{11} + 827155565607 T^{12} - 1816010715468 T^{13} + 11047398519097 T^{14} \))(\( 1 + T + 428 T^{2} + 479 T^{3} + 85241 T^{4} + 124551 T^{5} + 10617658 T^{6} + 20452406 T^{7} + 970217053 T^{8} + 2217085920 T^{9} + 74644598827 T^{10} + 161847272160 T^{11} + 5170286675437 T^{12} + 7956333624902 T^{13} + 301522810739578 T^{14} + 258203139979743 T^{15} + 12899880783100649 T^{16} + 5291703890647463 T^{17} + 345164919330666668 T^{18} + 58871586708267913 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + 5 T + 359 T^{2} + 3015 T^{3} + 69021 T^{4} + 688680 T^{5} + 10029640 T^{6} + 95566418 T^{7} + 1140926286 T^{8} + 9969801065 T^{9} + 101712502241 T^{10} + 822495702410 T^{11} + 7425012663593 T^{12} + 53129069875385 T^{13} + 443839721000862 T^{14} + 2713918169870738 T^{15} + 20792161772016520 T^{16} + 104220854960708520 T^{17} + 762502493186594037 T^{18} + 2431477177060654215 T^{19} + 21134899628268180767 T^{20} + 21488129148517788245 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 + 608 T^{2} + 302 T^{3} + 177792 T^{4} + 142259 T^{5} + 33012564 T^{6} + 31158479 T^{7} + 4321490461 T^{8} + 4145706121 T^{9} + 418338952356 T^{10} + 366739377221 T^{11} + 30538743521988 T^{12} + 22092467918809 T^{13} + 1681133254666837 T^{14} + 884845995835439 T^{15} + 68437408640494452 T^{16} + 21528655697646851 T^{17} + 1964139077507293824 T^{18} + 243550947752012462 T^{19} + 35793924718626891104 T^{20} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 + 34 T + 865 T^{2} + 14942 T^{3} + 223224 T^{4} + 2733371 T^{5} + 31197160 T^{6} + 314885302 T^{7} + 3089512385 T^{8} + 27551051130 T^{9} + 245023572825 T^{10} + 2037604887038 T^{11} + 17723144257408 T^{12} + 148745156753774 T^{13} + 1305730619584425 T^{14} + 10717827257439210 T^{15} + 87736717281714785 T^{16} + 652779774629426086 T^{17} + 4721198071014139240 T^{18} + 30196638737542685987 T^{19} + \)\(18\!\cdots\!44\)\( T^{20} + \)\(87\!\cdots\!46\)\( T^{21} + \)\(37\!\cdots\!85\)\( T^{22} + \)\(10\!\cdots\!18\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 800 T^{2} + 13434 T^{3} + 268004 T^{4} + 3594375 T^{5} + 54942700 T^{6} + 628627723 T^{7} + 8060669107 T^{8} + 81367182937 T^{9} + 911942961470 T^{10} + 8247397029151 T^{11} + 82351638313742 T^{12} + 670299278117384 T^{13} + 6011669596903166 T^{14} + 43950378768345679 T^{15} + 354761315042174990 T^{16} + 2310684870536013817 T^{17} + 16710344146294377451 T^{18} + 95132890084020809947 T^{19} + \)\(60\!\cdots\!00\)\( T^{20} + \)\(28\!\cdots\!75\)\( T^{21} + \)\(15\!\cdots\!52\)\( T^{22} + \)\(57\!\cdots\!66\)\( T^{23} + \)\(25\!\cdots\!00\)\( T^{24} + \)\(54\!\cdots\!04\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 - 24 T + 800 T^{2} - 13434 T^{3} + 268004 T^{4} - 3594375 T^{5} + 54942700 T^{6} - 628627723 T^{7} + 8060669107 T^{8} - 81367182937 T^{9} + 911942961470 T^{10} - 8247397029151 T^{11} + 82351638313742 T^{12} - 670299278117384 T^{13} + 6011669596903166 T^{14} - 43950378768345679 T^{15} + 354761315042174990 T^{16} - 2310684870536013817 T^{17} + 16710344146294377451 T^{18} - 95132890084020809947 T^{19} + \)\(60\!\cdots\!00\)\( T^{20} - \)\(28\!\cdots\!75\)\( T^{21} + \)\(15\!\cdots\!52\)\( T^{22} - \)\(57\!\cdots\!66\)\( T^{23} + \)\(25\!\cdots\!00\)\( T^{24} - \)\(54\!\cdots\!04\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 + 10 T + 476 T^{2} + 4075 T^{3} + 128442 T^{4} + 983351 T^{5} + 24540015 T^{6} + 171335117 T^{7} + 3690706854 T^{8} + 23742465877 T^{9} + 456404165695 T^{10} + 2724539799155 T^{11} + 47844515114453 T^{12} + 265973232902295 T^{13} + 4312223587071906 T^{14} + 22379531088518504 T^{15} + 337584180451435832 T^{16} + 1633705769461850792 T^{17} + 22979839495506187074 T^{18} + \)\(10\!\cdots\!15\)\( T^{19} + \)\(13\!\cdots\!73\)\( T^{20} + \)\(56\!\cdots\!15\)\( T^{21} + \)\(69\!\cdots\!55\)\( T^{22} + \)\(26\!\cdots\!69\)\( T^{23} + \)\(29\!\cdots\!74\)\( T^{24} + \)\(10\!\cdots\!21\)\( T^{25} + \)\(10\!\cdots\!35\)\( T^{26} + \)\(30\!\cdots\!27\)\( T^{27} + \)\(29\!\cdots\!82\)\( T^{28} + \)\(68\!\cdots\!75\)\( T^{29} + \)\(58\!\cdots\!84\)\( T^{30} + \)\(89\!\cdots\!70\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 10 T + 476 T^{2} - 4075 T^{3} + 128442 T^{4} - 983351 T^{5} + 24540015 T^{6} - 171335117 T^{7} + 3690706854 T^{8} - 23742465877 T^{9} + 456404165695 T^{10} - 2724539799155 T^{11} + 47844515114453 T^{12} - 265973232902295 T^{13} + 4312223587071906 T^{14} - 22379531088518504 T^{15} + 337584180451435832 T^{16} - 1633705769461850792 T^{17} + 22979839495506187074 T^{18} - \)\(10\!\cdots\!15\)\( T^{19} + \)\(13\!\cdots\!73\)\( T^{20} - \)\(56\!\cdots\!15\)\( T^{21} + \)\(69\!\cdots\!55\)\( T^{22} - \)\(26\!\cdots\!69\)\( T^{23} + \)\(29\!\cdots\!74\)\( T^{24} - \)\(10\!\cdots\!21\)\( T^{25} + \)\(10\!\cdots\!35\)\( T^{26} - \)\(30\!\cdots\!27\)\( T^{27} + \)\(29\!\cdots\!82\)\( T^{28} - \)\(68\!\cdots\!75\)\( T^{29} + \)\(58\!\cdots\!84\)\( T^{30} - \)\(89\!\cdots\!70\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 12 T + 853 T^{2} - 9307 T^{3} + 349726 T^{4} - 3456956 T^{5} + 91767275 T^{6} - 819611838 T^{7} + 17339090685 T^{8} - 139781874548 T^{9} + 2522241905859 T^{10} - 18384309170274 T^{11} + 295722813947028 T^{12} - 1960021266059910 T^{13} + 28945857709192467 T^{14} - 176212462575798669 T^{15} + 2428627602215456150 T^{16} - 13739809503038477988 T^{17} + \)\(17\!\cdots\!50\)\( T^{18} - \)\(93\!\cdots\!01\)\( T^{19} + \)\(11\!\cdots\!39\)\( T^{20} - \)\(55\!\cdots\!10\)\( T^{21} + \)\(61\!\cdots\!04\)\( T^{22} - \)\(27\!\cdots\!86\)\( T^{23} + \)\(27\!\cdots\!23\)\( T^{24} - \)\(11\!\cdots\!88\)\( T^{25} + \)\(10\!\cdots\!05\)\( T^{26} - \)\(35\!\cdots\!62\)\( T^{27} + \)\(28\!\cdots\!75\)\( T^{28} - \)\(79\!\cdots\!76\)\( T^{29} + \)\(58\!\cdots\!58\)\( T^{30} - \)\(11\!\cdots\!63\)\( T^{31} + \)\(75\!\cdots\!21\)\( T^{32} - \)\(78\!\cdots\!32\)\( T^{33} + \)\(47\!\cdots\!53\)\( T^{34} \))(\( 1 + 12 T + 853 T^{2} + 9307 T^{3} + 349726 T^{4} + 3456956 T^{5} + 91767275 T^{6} + 819611838 T^{7} + 17339090685 T^{8} + 139781874548 T^{9} + 2522241905859 T^{10} + 18384309170274 T^{11} + 295722813947028 T^{12} + 1960021266059910 T^{13} + 28945857709192467 T^{14} + 176212462575798669 T^{15} + 2428627602215456150 T^{16} + 13739809503038477988 T^{17} + \)\(17\!\cdots\!50\)\( T^{18} + \)\(93\!\cdots\!01\)\( T^{19} + \)\(11\!\cdots\!39\)\( T^{20} + \)\(55\!\cdots\!10\)\( T^{21} + \)\(61\!\cdots\!04\)\( T^{22} + \)\(27\!\cdots\!86\)\( T^{23} + \)\(27\!\cdots\!23\)\( T^{24} + \)\(11\!\cdots\!88\)\( T^{25} + \)\(10\!\cdots\!05\)\( T^{26} + \)\(35\!\cdots\!62\)\( T^{27} + \)\(28\!\cdots\!75\)\( T^{28} + \)\(79\!\cdots\!76\)\( T^{29} + \)\(58\!\cdots\!58\)\( T^{30} + \)\(11\!\cdots\!63\)\( T^{31} + \)\(75\!\cdots\!21\)\( T^{32} + \)\(78\!\cdots\!32\)\( T^{33} + \)\(47\!\cdots\!53\)\( T^{34} \))(\( 1 + 38 T + 1332 T^{2} + 31347 T^{3} + 663889 T^{4} + 11589431 T^{5} + 184141337 T^{6} + 2575996960 T^{7} + 33207709766 T^{8} + 388048409246 T^{9} + 4223941677282 T^{10} + 42343554394846 T^{11} + 399840893692641 T^{12} + 3523212041645008 T^{13} + 29762880178369227 T^{14} + 239973510538607477 T^{15} + 1924971459540869003 T^{16} + 15421393003193635887 T^{17} + \)\(12\!\cdots\!00\)\( T^{18} + \)\(11\!\cdots\!51\)\( T^{19} + \)\(10\!\cdots\!87\)\( T^{20} + \)\(93\!\cdots\!09\)\( T^{21} + \)\(84\!\cdots\!07\)\( T^{22} + \)\(73\!\cdots\!44\)\( T^{23} + \)\(60\!\cdots\!49\)\( T^{24} + \)\(46\!\cdots\!62\)\( T^{25} + \)\(34\!\cdots\!42\)\( T^{26} + \)\(22\!\cdots\!98\)\( T^{27} + \)\(14\!\cdots\!34\)\( T^{28} + \)\(80\!\cdots\!20\)\( T^{29} + \)\(42\!\cdots\!77\)\( T^{30} + \)\(19\!\cdots\!23\)\( T^{31} + \)\(81\!\cdots\!01\)\( T^{32} + \)\(27\!\cdots\!79\)\( T^{33} + \)\(86\!\cdots\!52\)\( T^{34} + \)\(18\!\cdots\!14\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( 1 - 38 T + 1332 T^{2} - 31347 T^{3} + 663889 T^{4} - 11589431 T^{5} + 184141337 T^{6} - 2575996960 T^{7} + 33207709766 T^{8} - 388048409246 T^{9} + 4223941677282 T^{10} - 42343554394846 T^{11} + 399840893692641 T^{12} - 3523212041645008 T^{13} + 29762880178369227 T^{14} - 239973510538607477 T^{15} + 1924971459540869003 T^{16} - 15421393003193635887 T^{17} + \)\(12\!\cdots\!00\)\( T^{18} - \)\(11\!\cdots\!51\)\( T^{19} + \)\(10\!\cdots\!87\)\( T^{20} - \)\(93\!\cdots\!09\)\( T^{21} + \)\(84\!\cdots\!07\)\( T^{22} - \)\(73\!\cdots\!44\)\( T^{23} + \)\(60\!\cdots\!49\)\( T^{24} - \)\(46\!\cdots\!62\)\( T^{25} + \)\(34\!\cdots\!42\)\( T^{26} - \)\(22\!\cdots\!98\)\( T^{27} + \)\(14\!\cdots\!34\)\( T^{28} - \)\(80\!\cdots\!20\)\( T^{29} + \)\(42\!\cdots\!77\)\( T^{30} - \)\(19\!\cdots\!23\)\( T^{31} + \)\(81\!\cdots\!01\)\( T^{32} - \)\(27\!\cdots\!79\)\( T^{33} + \)\(86\!\cdots\!52\)\( T^{34} - \)\(18\!\cdots\!14\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))
$79$ (\( 1 + T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 3 T + 79 T^{2} \))(\( 1 - 3 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 - 3 T + 79 T^{2} \))(\( 1 + 5 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( 1 + 4 T - 18 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 + 15 T + 165 T^{2} + 1417 T^{3} + 13035 T^{4} + 93615 T^{5} + 493039 T^{6} \))(\( 1 - 4 T + 173 T^{2} - 696 T^{3} + 13667 T^{4} - 24964 T^{5} + 493039 T^{6} \))(\( 1 - 4 T + 173 T^{2} - 696 T^{3} + 13667 T^{4} - 24964 T^{5} + 493039 T^{6} \))(\( 1 - T + 4 T^{2} - 27 T^{3} + 6211 T^{4} - 2133 T^{5} + 24964 T^{6} - 493039 T^{7} + 38950081 T^{8} \))(\( 1 + 11 T + 219 T^{2} + 2302 T^{3} + 29775 T^{4} + 233502 T^{5} + 2352225 T^{6} + 14366782 T^{7} + 107975541 T^{8} + 428450891 T^{9} + 3077056399 T^{10} \))(\( 1 + 12 T + 378 T^{2} + 3526 T^{3} + 58992 T^{4} + 407145 T^{5} + 4660368 T^{6} + 22005766 T^{7} + 186368742 T^{8} + 467400972 T^{9} + 3077056399 T^{10} \))(\( 1 + 20 T + 546 T^{2} + 6854 T^{3} + 99080 T^{4} + 833837 T^{5} + 7827320 T^{6} + 42775814 T^{7} + 269199294 T^{8} + 779001620 T^{9} + 3077056399 T^{10} \))(\( 1 - 8 T + 346 T^{2} - 2968 T^{3} + 56559 T^{4} - 446608 T^{5} + 5607724 T^{6} - 35282032 T^{7} + 352984719 T^{8} - 1463339752 T^{9} + 13476728026 T^{10} - 24616451192 T^{11} + 243087455521 T^{12} \))(\( 1 - 36 T + 905 T^{2} - 16936 T^{3} + 257493 T^{4} - 3294620 T^{5} + 36204845 T^{6} - 344645424 T^{7} + 2860182755 T^{8} - 20561723420 T^{9} + 126954091227 T^{10} - 659658571816 T^{11} + 2784736041095 T^{12} - 8751148398756 T^{13} + 19203908986159 T^{14} \))(\( 1 + 47 T + 1497 T^{2} + 33676 T^{3} + 624588 T^{4} + 9636391 T^{5} + 131075608 T^{6} + 1574395952 T^{7} + 17259049185 T^{8} + 172153645988 T^{9} + 1595732581913 T^{10} + 13600138033052 T^{11} + 107713725963585 T^{12} + 776238605778128 T^{13} + 5105405548724248 T^{14} + 29651718589816009 T^{15} + 151829507668950348 T^{16} + 646710839017890484 T^{17} + 2271111888430121817 T^{18} + 5633025011183060993 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 27 T + 592 T^{2} - 9548 T^{3} + 128661 T^{4} - 1529276 T^{5} + 16755415 T^{6} - 174704963 T^{7} + 1823053617 T^{8} - 18466100333 T^{9} + 180454360540 T^{10} - 1666362290458 T^{11} + 14255894482660 T^{12} - 115246932178253 T^{13} + 898836532272063 T^{14} - 6804772459952003 T^{15} + 51557356943650585 T^{16} - 371747811629332796 T^{17} + 2470794134068203099 T^{18} - 14485354916987844428 T^{19} + 70952144821710044848 T^{20} - \)\(25\!\cdots\!27\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 - 16 T + 563 T^{2} - 6462 T^{3} + 130299 T^{4} - 1184025 T^{5} + 18635975 T^{6} - 150977499 T^{7} + 2118604769 T^{8} - 16448714423 T^{9} + 206564277676 T^{10} - 1476927454035 T^{11} + 16318577936404 T^{12} - 102656426713943 T^{13} + 1044554776702991 T^{14} - 5880585815227419 T^{15} + 57343946125354025 T^{16} - 287821624523252025 T^{17} + 2502250136987531541 T^{18} - 9803557129616197182 T^{19} + 67476448538214113597 T^{20} - \)\(15\!\cdots\!16\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 450 T^{2} - 262 T^{3} + 98960 T^{4} - 175831 T^{5} + 13837924 T^{6} - 50591626 T^{7} + 1390841810 T^{8} - 8678664700 T^{9} + 113179166387 T^{10} - 989933788516 T^{11} + 8746266724000 T^{12} - 78204769292764 T^{13} + 706351177421267 T^{14} - 4278920165023300 T^{15} + 54173401157686610 T^{16} - 155673286519114774 T^{17} + 3363825734852978404 T^{18} - 3376642520945323129 T^{19} + \)\(15\!\cdots\!60\)\( T^{20} - 31401118147445999578 T^{21} + \)\(42\!\cdots\!50\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 11 T + 330 T^{2} + 2149 T^{3} + 43605 T^{4} + 239621 T^{5} + 5067957 T^{6} + 33259418 T^{7} + 524985755 T^{8} + 3054194790 T^{9} + 40581882103 T^{10} + 256813681458 T^{11} + 3609450937689 T^{12} + 24524519017326 T^{13} + 285146624077431 T^{14} + 1602774185979378 T^{15} + 20008450570181017 T^{16} + 118961134460277990 T^{17} + 1615410776806596245 T^{18} + 8084947293729346778 T^{19} + 97324584973767407163 T^{20} + \)\(36\!\cdots\!81\)\( T^{21} + \)\(52\!\cdots\!95\)\( T^{22} + \)\(20\!\cdots\!49\)\( T^{23} + \)\(24\!\cdots\!70\)\( T^{24} + \)\(65\!\cdots\!51\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 + 11 T + 330 T^{2} + 2149 T^{3} + 43605 T^{4} + 239621 T^{5} + 5067957 T^{6} + 33259418 T^{7} + 524985755 T^{8} + 3054194790 T^{9} + 40581882103 T^{10} + 256813681458 T^{11} + 3609450937689 T^{12} + 24524519017326 T^{13} + 285146624077431 T^{14} + 1602774185979378 T^{15} + 20008450570181017 T^{16} + 118961134460277990 T^{17} + 1615410776806596245 T^{18} + 8084947293729346778 T^{19} + 97324584973767407163 T^{20} + \)\(36\!\cdots\!81\)\( T^{21} + \)\(52\!\cdots\!95\)\( T^{22} + \)\(20\!\cdots\!49\)\( T^{23} + \)\(24\!\cdots\!70\)\( T^{24} + \)\(65\!\cdots\!51\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 - 23 T + 710 T^{2} - 12693 T^{3} + 237893 T^{4} - 3458163 T^{5} + 50078054 T^{6} - 616890075 T^{7} + 7501864739 T^{8} - 80795495177 T^{9} + 862087574808 T^{10} - 8340455612963 T^{11} + 80951137778492 T^{12} - 726770232215140 T^{13} + 6689837243490212 T^{14} - 58137986867097768 T^{15} + 529025836846820326 T^{16} - 4592900962500723672 T^{17} + 41751274236622413092 T^{18} - \)\(35\!\cdots\!60\)\( T^{19} + \)\(31\!\cdots\!52\)\( T^{20} - \)\(25\!\cdots\!37\)\( T^{21} + \)\(20\!\cdots\!68\)\( T^{22} - \)\(15\!\cdots\!43\)\( T^{23} + \)\(11\!\cdots\!79\)\( T^{24} - \)\(73\!\cdots\!25\)\( T^{25} + \)\(47\!\cdots\!54\)\( T^{26} - \)\(25\!\cdots\!77\)\( T^{27} + \)\(14\!\cdots\!13\)\( T^{28} - \)\(59\!\cdots\!27\)\( T^{29} + \)\(26\!\cdots\!10\)\( T^{30} - \)\(67\!\cdots\!77\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 23 T + 710 T^{2} - 12693 T^{3} + 237893 T^{4} - 3458163 T^{5} + 50078054 T^{6} - 616890075 T^{7} + 7501864739 T^{8} - 80795495177 T^{9} + 862087574808 T^{10} - 8340455612963 T^{11} + 80951137778492 T^{12} - 726770232215140 T^{13} + 6689837243490212 T^{14} - 58137986867097768 T^{15} + 529025836846820326 T^{16} - 4592900962500723672 T^{17} + 41751274236622413092 T^{18} - \)\(35\!\cdots\!60\)\( T^{19} + \)\(31\!\cdots\!52\)\( T^{20} - \)\(25\!\cdots\!37\)\( T^{21} + \)\(20\!\cdots\!68\)\( T^{22} - \)\(15\!\cdots\!43\)\( T^{23} + \)\(11\!\cdots\!79\)\( T^{24} - \)\(73\!\cdots\!25\)\( T^{25} + \)\(47\!\cdots\!54\)\( T^{26} - \)\(25\!\cdots\!77\)\( T^{27} + \)\(14\!\cdots\!13\)\( T^{28} - \)\(59\!\cdots\!27\)\( T^{29} + \)\(26\!\cdots\!10\)\( T^{30} - \)\(67\!\cdots\!77\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 17 T + 797 T^{2} + 10474 T^{3} + 280911 T^{4} + 2927974 T^{5} + 59453677 T^{6} + 495077364 T^{7} + 8734052865 T^{8} + 58232169426 T^{9} + 1001020827853 T^{10} + 5483201539822 T^{11} + 100649905981988 T^{12} + 489019145416367 T^{13} + 9569117072508196 T^{14} + 44312406359701104 T^{15} + 848608171667005686 T^{16} + 3741948434121722712 T^{17} + 67040045561693449194 T^{18} + \)\(27\!\cdots\!64\)\( T^{19} + \)\(47\!\cdots\!44\)\( T^{20} + \)\(19\!\cdots\!27\)\( T^{21} + \)\(30\!\cdots\!12\)\( T^{22} + \)\(13\!\cdots\!62\)\( T^{23} + \)\(19\!\cdots\!27\)\( T^{24} + \)\(88\!\cdots\!86\)\( T^{25} + \)\(10\!\cdots\!35\)\( T^{26} + \)\(46\!\cdots\!64\)\( T^{27} + \)\(44\!\cdots\!83\)\( T^{28} + \)\(17\!\cdots\!34\)\( T^{29} + \)\(13\!\cdots\!29\)\( T^{30} + \)\(38\!\cdots\!94\)\( T^{31} + \)\(23\!\cdots\!03\)\( T^{32} + \)\(39\!\cdots\!57\)\( T^{33} + \)\(18\!\cdots\!59\)\( T^{34} \))(\( 1 + 17 T + 797 T^{2} + 10474 T^{3} + 280911 T^{4} + 2927974 T^{5} + 59453677 T^{6} + 495077364 T^{7} + 8734052865 T^{8} + 58232169426 T^{9} + 1001020827853 T^{10} + 5483201539822 T^{11} + 100649905981988 T^{12} + 489019145416367 T^{13} + 9569117072508196 T^{14} + 44312406359701104 T^{15} + 848608171667005686 T^{16} + 3741948434121722712 T^{17} + 67040045561693449194 T^{18} + \)\(27\!\cdots\!64\)\( T^{19} + \)\(47\!\cdots\!44\)\( T^{20} + \)\(19\!\cdots\!27\)\( T^{21} + \)\(30\!\cdots\!12\)\( T^{22} + \)\(13\!\cdots\!62\)\( T^{23} + \)\(19\!\cdots\!27\)\( T^{24} + \)\(88\!\cdots\!86\)\( T^{25} + \)\(10\!\cdots\!35\)\( T^{26} + \)\(46\!\cdots\!64\)\( T^{27} + \)\(44\!\cdots\!83\)\( T^{28} + \)\(17\!\cdots\!34\)\( T^{29} + \)\(13\!\cdots\!29\)\( T^{30} + \)\(38\!\cdots\!94\)\( T^{31} + \)\(23\!\cdots\!03\)\( T^{32} + \)\(39\!\cdots\!57\)\( T^{33} + \)\(18\!\cdots\!59\)\( T^{34} \))(\( 1 - 19 T + 848 T^{2} - 13499 T^{3} + 343710 T^{4} - 4709936 T^{5} + 89137374 T^{6} - 1074159110 T^{7} + 16721812044 T^{8} - 180157754542 T^{9} + 2435870796492 T^{10} - 23800223474580 T^{11} + 289807210781579 T^{12} - 2605615428705675 T^{13} + 29392816352919800 T^{14} - 247173550775435199 T^{15} + 2642159594574352410 T^{16} - 21130704010906634360 T^{17} + \)\(21\!\cdots\!76\)\( T^{18} - \)\(16\!\cdots\!40\)\( T^{19} + \)\(16\!\cdots\!10\)\( T^{20} - \)\(12\!\cdots\!61\)\( T^{21} + \)\(11\!\cdots\!00\)\( T^{22} - \)\(80\!\cdots\!25\)\( T^{23} + \)\(70\!\cdots\!59\)\( T^{24} - \)\(45\!\cdots\!20\)\( T^{25} + \)\(36\!\cdots\!12\)\( T^{26} - \)\(21\!\cdots\!98\)\( T^{27} + \)\(15\!\cdots\!44\)\( T^{28} - \)\(80\!\cdots\!90\)\( T^{29} + \)\(52\!\cdots\!34\)\( T^{30} - \)\(21\!\cdots\!04\)\( T^{31} + \)\(12\!\cdots\!10\)\( T^{32} - \)\(39\!\cdots\!01\)\( T^{33} + \)\(19\!\cdots\!08\)\( T^{34} - \)\(34\!\cdots\!21\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 - 19 T + 848 T^{2} - 13499 T^{3} + 343710 T^{4} - 4709936 T^{5} + 89137374 T^{6} - 1074159110 T^{7} + 16721812044 T^{8} - 180157754542 T^{9} + 2435870796492 T^{10} - 23800223474580 T^{11} + 289807210781579 T^{12} - 2605615428705675 T^{13} + 29392816352919800 T^{14} - 247173550775435199 T^{15} + 2642159594574352410 T^{16} - 21130704010906634360 T^{17} + \)\(21\!\cdots\!76\)\( T^{18} - \)\(16\!\cdots\!40\)\( T^{19} + \)\(16\!\cdots\!10\)\( T^{20} - \)\(12\!\cdots\!61\)\( T^{21} + \)\(11\!\cdots\!00\)\( T^{22} - \)\(80\!\cdots\!25\)\( T^{23} + \)\(70\!\cdots\!59\)\( T^{24} - \)\(45\!\cdots\!20\)\( T^{25} + \)\(36\!\cdots\!12\)\( T^{26} - \)\(21\!\cdots\!98\)\( T^{27} + \)\(15\!\cdots\!44\)\( T^{28} - \)\(80\!\cdots\!90\)\( T^{29} + \)\(52\!\cdots\!34\)\( T^{30} - \)\(21\!\cdots\!04\)\( T^{31} + \)\(12\!\cdots\!10\)\( T^{32} - \)\(39\!\cdots\!01\)\( T^{33} + \)\(19\!\cdots\!08\)\( T^{34} - \)\(34\!\cdots\!21\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))
$83$ (\( 1 + T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 17 T + 83 T^{2} \))(\( 1 - 17 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 - 15 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 + 14 T + 170 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 182 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 3 T^{2} + 1368 T^{3} - 249 T^{4} + 571787 T^{6} \))(\( 1 + 8 T + 162 T^{2} + 1359 T^{3} + 13446 T^{4} + 55112 T^{5} + 571787 T^{6} \))(\( 1 - 8 T + 162 T^{2} - 1359 T^{3} + 13446 T^{4} - 55112 T^{5} + 571787 T^{6} \))(\( 1 - 9 T + 323 T^{2} - 2106 T^{3} + 39921 T^{4} - 174798 T^{5} + 2225147 T^{6} - 5146083 T^{7} + 47458321 T^{8} \))(\( 1 + 19 T + 430 T^{2} + 4961 T^{3} + 67076 T^{4} + 566300 T^{5} + 5567308 T^{6} + 34176329 T^{7} + 245868410 T^{8} + 901708099 T^{9} + 3939040643 T^{10} \))(\( 1 - 26 T + 549 T^{2} - 7762 T^{3} + 93450 T^{4} - 911753 T^{5} + 7756350 T^{6} - 53472418 T^{7} + 313911063 T^{8} - 1233916346 T^{9} + 3939040643 T^{10} \))(\( 1 + 18 T + 401 T^{2} + 4440 T^{3} + 59378 T^{4} + 489805 T^{5} + 4928374 T^{6} + 30587160 T^{7} + 229286587 T^{8} + 854249778 T^{9} + 3939040643 T^{10} \))(\( 1 - 8 T + 297 T^{2} - 1748 T^{3} + 40320 T^{4} - 187722 T^{5} + 3767296 T^{6} - 15580926 T^{7} + 277764480 T^{8} - 999483676 T^{9} + 14095121337 T^{10} - 31512325144 T^{11} + 326940373369 T^{12} \))(\( 1 - 10 T + 300 T^{2} - 2598 T^{3} + 53483 T^{4} - 412906 T^{5} + 6275556 T^{6} - 40263276 T^{7} + 520871148 T^{8} - 2844509434 T^{9} + 30580884121 T^{10} - 123296717958 T^{11} + 1181712192900 T^{12} - 3269403733690 T^{13} + 27136050989627 T^{14} \))(\( 1 + T + 657 T^{2} + 258 T^{3} + 203236 T^{4} - 4971 T^{5} + 39186646 T^{6} - 10226207 T^{7} + 5233418235 T^{8} - 1768497303 T^{9} + 506766715346 T^{10} - 146785276149 T^{11} + 36053018220915 T^{12} - 5847212221909 T^{13} + 1859732424781366 T^{14} - 19580971036353 T^{15} + 66446053722022084 T^{16} + 7001101155323766 T^{17} + 1479755996515349937 T^{18} + 186940255267540403 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 2 T + 481 T^{2} + 596 T^{3} + 118517 T^{4} + 111313 T^{5} + 19827591 T^{6} + 17375366 T^{7} + 2516750382 T^{8} + 2246259029 T^{9} + 255487731132 T^{10} + 218161435916 T^{11} + 21205481683956 T^{12} + 15474478450781 T^{13} + 1439045150672634 T^{14} + 824605697120486 T^{15} + 78101686801781013 T^{16} + 36392713780823497 T^{17} + 3216083355137623159 T^{18} + 1342366170354868436 T^{19} + 89918262783686933843 T^{20} + 31032082374411706898 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 48 T + 1613 T^{2} - 39814 T^{3} + 820079 T^{4} - 14349361 T^{5} + 221785057 T^{6} - 3051618470 T^{7} + 38039331072 T^{8} - 430700978055 T^{9} + 4469091442674 T^{10} - 42459903057832 T^{11} + 370934589741942 T^{12} - 2967099037820895 T^{13} + 21750394995665664 T^{14} - 144824688918788870 T^{15} + 873620353533071651 T^{16} - 4691385442946567209 T^{17} + 22253705559522320533 T^{18} - 89672762930383778374 T^{19} + \)\(30\!\cdots\!39\)\( T^{20} - \)\(74\!\cdots\!52\)\( T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 24 T + 816 T^{2} - 13932 T^{3} + 282810 T^{4} - 3839079 T^{5} + 59254562 T^{6} - 677228411 T^{7} + 8724403259 T^{8} - 87163709779 T^{9} + 985559289534 T^{10} - 8833378136899 T^{11} + 90086503983156 T^{12} - 733170385362617 T^{13} + 6789517945599726 T^{14} - 49839076123405073 T^{15} + 414045530399068139 T^{16} - 2667630235523308273 T^{17} + 19372708624096559378 T^{18} - \)\(10\!\cdots\!33\)\( T^{19} + \)\(63\!\cdots\!10\)\( T^{20} - \)\(26\!\cdots\!96\)\( T^{21} + \)\(12\!\cdots\!84\)\( T^{22} - \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 9 T + 711 T^{2} - 7007 T^{3} + 257456 T^{4} - 2547801 T^{5} + 61966285 T^{6} - 586312899 T^{7} + 10888908270 T^{8} - 95898611975 T^{9} + 1461758412480 T^{10} - 11760103308053 T^{11} + 153516279191445 T^{12} - 1108869222977566 T^{13} + 12741851172889935 T^{14} - 81015351689177117 T^{15} + 835814457396701760 T^{16} - 4551187110563993975 T^{17} + 42891852233428817610 T^{18} - \)\(19\!\cdots\!31\)\( T^{19} + \)\(16\!\cdots\!95\)\( T^{20} - \)\(57\!\cdots\!41\)\( T^{21} + \)\(48\!\cdots\!68\)\( T^{22} - \)\(10\!\cdots\!43\)\( T^{23} + \)\(91\!\cdots\!37\)\( T^{24} - \)\(96\!\cdots\!49\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 + 9 T + 711 T^{2} + 7007 T^{3} + 257456 T^{4} + 2547801 T^{5} + 61966285 T^{6} + 586312899 T^{7} + 10888908270 T^{8} + 95898611975 T^{9} + 1461758412480 T^{10} + 11760103308053 T^{11} + 153516279191445 T^{12} + 1108869222977566 T^{13} + 12741851172889935 T^{14} + 81015351689177117 T^{15} + 835814457396701760 T^{16} + 4551187110563993975 T^{17} + 42891852233428817610 T^{18} + \)\(19\!\cdots\!31\)\( T^{19} + \)\(16\!\cdots\!95\)\( T^{20} + \)\(57\!\cdots\!41\)\( T^{21} + \)\(48\!\cdots\!68\)\( T^{22} + \)\(10\!\cdots\!43\)\( T^{23} + \)\(91\!\cdots\!37\)\( T^{24} + \)\(96\!\cdots\!49\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 + 5 T + 784 T^{2} + 3871 T^{3} + 299070 T^{4} + 1390256 T^{5} + 73898451 T^{6} + 306552881 T^{7} + 13304640108 T^{8} + 46423944829 T^{9} + 1868364441773 T^{10} + 5168009897654 T^{11} + 215247802438080 T^{12} + 455694947723673 T^{13} + 21249683236586595 T^{14} + 36153301785761382 T^{15} + 1860211043356163845 T^{16} + 3000724048218194706 T^{17} + \)\(14\!\cdots\!55\)\( T^{18} + \)\(26\!\cdots\!51\)\( T^{19} + \)\(10\!\cdots\!80\)\( T^{20} + \)\(20\!\cdots\!22\)\( T^{21} + \)\(61\!\cdots\!37\)\( T^{22} + \)\(12\!\cdots\!83\)\( T^{23} + \)\(29\!\cdots\!28\)\( T^{24} + \)\(57\!\cdots\!43\)\( T^{25} + \)\(11\!\cdots\!99\)\( T^{26} + \)\(17\!\cdots\!52\)\( T^{27} + \)\(31\!\cdots\!70\)\( T^{28} + \)\(34\!\cdots\!73\)\( T^{29} + \)\(57\!\cdots\!36\)\( T^{30} + \)\(30\!\cdots\!35\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 5 T + 784 T^{2} - 3871 T^{3} + 299070 T^{4} - 1390256 T^{5} + 73898451 T^{6} - 306552881 T^{7} + 13304640108 T^{8} - 46423944829 T^{9} + 1868364441773 T^{10} - 5168009897654 T^{11} + 215247802438080 T^{12} - 455694947723673 T^{13} + 21249683236586595 T^{14} - 36153301785761382 T^{15} + 1860211043356163845 T^{16} - 3000724048218194706 T^{17} + \)\(14\!\cdots\!55\)\( T^{18} - \)\(26\!\cdots\!51\)\( T^{19} + \)\(10\!\cdots\!80\)\( T^{20} - \)\(20\!\cdots\!22\)\( T^{21} + \)\(61\!\cdots\!37\)\( T^{22} - \)\(12\!\cdots\!83\)\( T^{23} + \)\(29\!\cdots\!28\)\( T^{24} - \)\(57\!\cdots\!43\)\( T^{25} + \)\(11\!\cdots\!99\)\( T^{26} - \)\(17\!\cdots\!52\)\( T^{27} + \)\(31\!\cdots\!70\)\( T^{28} - \)\(34\!\cdots\!73\)\( T^{29} + \)\(57\!\cdots\!36\)\( T^{30} - \)\(30\!\cdots\!35\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 25 T + 909 T^{2} + 14822 T^{3} + 314744 T^{4} + 3812019 T^{5} + 62719645 T^{6} + 617570205 T^{7} + 9121890275 T^{8} + 78520432212 T^{9} + 1117204558543 T^{10} + 8687388693977 T^{11} + 120912070264555 T^{12} + 865505319177213 T^{13} + 11909025726316993 T^{14} + 80830361154124929 T^{15} + 1087557932163939738 T^{16} + 7039206455721490694 T^{17} + 90267308369606998254 T^{18} + \)\(55\!\cdots\!81\)\( T^{19} + \)\(68\!\cdots\!91\)\( T^{20} + \)\(41\!\cdots\!73\)\( T^{21} + \)\(47\!\cdots\!65\)\( T^{22} + \)\(28\!\cdots\!13\)\( T^{23} + \)\(30\!\cdots\!61\)\( T^{24} + \)\(17\!\cdots\!92\)\( T^{25} + \)\(17\!\cdots\!25\)\( T^{26} + \)\(95\!\cdots\!45\)\( T^{27} + \)\(80\!\cdots\!15\)\( T^{28} + \)\(40\!\cdots\!59\)\( T^{29} + \)\(27\!\cdots\!72\)\( T^{30} + \)\(10\!\cdots\!38\)\( T^{31} + \)\(55\!\cdots\!63\)\( T^{32} + \)\(12\!\cdots\!25\)\( T^{33} + \)\(42\!\cdots\!23\)\( T^{34} \))(\( 1 - 25 T + 909 T^{2} - 14822 T^{3} + 314744 T^{4} - 3812019 T^{5} + 62719645 T^{6} - 617570205 T^{7} + 9121890275 T^{8} - 78520432212 T^{9} + 1117204558543 T^{10} - 8687388693977 T^{11} + 120912070264555 T^{12} - 865505319177213 T^{13} + 11909025726316993 T^{14} - 80830361154124929 T^{15} + 1087557932163939738 T^{16} - 7039206455721490694 T^{17} + 90267308369606998254 T^{18} - \)\(55\!\cdots\!81\)\( T^{19} + \)\(68\!\cdots\!91\)\( T^{20} - \)\(41\!\cdots\!73\)\( T^{21} + \)\(47\!\cdots\!65\)\( T^{22} - \)\(28\!\cdots\!13\)\( T^{23} + \)\(30\!\cdots\!61\)\( T^{24} - \)\(17\!\cdots\!92\)\( T^{25} + \)\(17\!\cdots\!25\)\( T^{26} - \)\(95\!\cdots\!45\)\( T^{27} + \)\(80\!\cdots\!15\)\( T^{28} - \)\(40\!\cdots\!59\)\( T^{29} + \)\(27\!\cdots\!72\)\( T^{30} - \)\(10\!\cdots\!38\)\( T^{31} + \)\(55\!\cdots\!63\)\( T^{32} - \)\(12\!\cdots\!25\)\( T^{33} + \)\(42\!\cdots\!23\)\( T^{34} \))(\( 1 + 31 T + 942 T^{2} + 18213 T^{3} + 343951 T^{4} + 5180251 T^{5} + 77569637 T^{6} + 1007981064 T^{7} + 13171255242 T^{8} + 155418914133 T^{9} + 1848800827114 T^{10} + 20262835323361 T^{11} + 223777484726186 T^{12} + 2305858540454382 T^{13} + 23945691202792488 T^{14} + 233988022497965538 T^{15} + 2303946851133845377 T^{16} + 21435682535016411101 T^{17} + \)\(20\!\cdots\!90\)\( T^{18} + \)\(17\!\cdots\!83\)\( T^{19} + \)\(15\!\cdots\!53\)\( T^{20} + \)\(13\!\cdots\!06\)\( T^{21} + \)\(11\!\cdots\!48\)\( T^{22} + \)\(90\!\cdots\!26\)\( T^{23} + \)\(73\!\cdots\!34\)\( T^{24} + \)\(54\!\cdots\!47\)\( T^{25} + \)\(41\!\cdots\!74\)\( T^{26} + \)\(29\!\cdots\!99\)\( T^{27} + \)\(20\!\cdots\!58\)\( T^{28} + \)\(12\!\cdots\!88\)\( T^{29} + \)\(82\!\cdots\!57\)\( T^{30} + \)\(45\!\cdots\!13\)\( T^{31} + \)\(25\!\cdots\!79\)\( T^{32} + \)\(11\!\cdots\!91\)\( T^{33} + \)\(47\!\cdots\!02\)\( T^{34} + \)\(13\!\cdots\!13\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 - 31 T + 942 T^{2} - 18213 T^{3} + 343951 T^{4} - 5180251 T^{5} + 77569637 T^{6} - 1007981064 T^{7} + 13171255242 T^{8} - 155418914133 T^{9} + 1848800827114 T^{10} - 20262835323361 T^{11} + 223777484726186 T^{12} - 2305858540454382 T^{13} + 23945691202792488 T^{14} - 233988022497965538 T^{15} + 2303946851133845377 T^{16} - 21435682535016411101 T^{17} + \)\(20\!\cdots\!90\)\( T^{18} - \)\(17\!\cdots\!83\)\( T^{19} + \)\(15\!\cdots\!53\)\( T^{20} - \)\(13\!\cdots\!06\)\( T^{21} + \)\(11\!\cdots\!48\)\( T^{22} - \)\(90\!\cdots\!26\)\( T^{23} + \)\(73\!\cdots\!34\)\( T^{24} - \)\(54\!\cdots\!47\)\( T^{25} + \)\(41\!\cdots\!74\)\( T^{26} - \)\(29\!\cdots\!99\)\( T^{27} + \)\(20\!\cdots\!58\)\( T^{28} - \)\(12\!\cdots\!88\)\( T^{29} + \)\(82\!\cdots\!57\)\( T^{30} - \)\(45\!\cdots\!13\)\( T^{31} + \)\(25\!\cdots\!79\)\( T^{32} - \)\(11\!\cdots\!91\)\( T^{33} + \)\(47\!\cdots\!02\)\( T^{34} - \)\(13\!\cdots\!13\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))
$89$ (\( 1 + 9 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 4 T + 2 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 + 10 T + 198 T^{2} + 890 T^{3} + 7921 T^{4} \))(\( 1 + 27 T + 447 T^{2} + 4797 T^{3} + 39783 T^{4} + 213867 T^{5} + 704969 T^{6} \))(\( 1 + 5 T + 206 T^{2} + 625 T^{3} + 18334 T^{4} + 39605 T^{5} + 704969 T^{6} \))(\( 1 + 5 T + 206 T^{2} + 625 T^{3} + 18334 T^{4} + 39605 T^{5} + 704969 T^{6} \))(\( 1 + 10 T + 208 T^{2} + 1585 T^{3} + 25085 T^{4} + 141065 T^{5} + 1647568 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 - 2 T + 307 T^{2} - 909 T^{3} + 44081 T^{4} - 131788 T^{5} + 3923209 T^{6} - 7200189 T^{7} + 216425483 T^{8} - 125484482 T^{9} + 5584059449 T^{10} \))(\( 1 + 2 T + 361 T^{2} + 781 T^{3} + 57979 T^{4} + 105578 T^{5} + 5160131 T^{6} + 6186301 T^{7} + 254493809 T^{8} + 125484482 T^{9} + 5584059449 T^{10} \))(\( 1 - 22 T + 299 T^{2} - 3207 T^{3} + 34791 T^{4} - 361172 T^{5} + 3096399 T^{6} - 25402647 T^{7} + 210785731 T^{8} - 1380329302 T^{9} + 5584059449 T^{10} \))(\( 1 + 8 T + 294 T^{2} + 1256 T^{3} + 35167 T^{4} + 53328 T^{5} + 2975252 T^{6} + 4746192 T^{7} + 278557807 T^{8} + 885441064 T^{9} + 18446218854 T^{10} + 44672475592 T^{11} + 496981290961 T^{12} \))(\( 1 + 4 T + 415 T^{2} + 768 T^{3} + 81141 T^{4} + 60700 T^{5} + 10292379 T^{6} + 4269504 T^{7} + 916021731 T^{8} + 480804700 T^{9} + 57201889629 T^{10} + 48186041088 T^{11} + 2317384671335 T^{12} + 1987925163844 T^{13} + 44231334895529 T^{14} \))(\( 1 + 34 T + 797 T^{2} + 13535 T^{3} + 195550 T^{4} + 2377120 T^{5} + 25827698 T^{6} + 250332052 T^{7} + 2309071005 T^{8} + 20471733388 T^{9} + 190040492369 T^{10} + 1821984271532 T^{11} + 18290151430605 T^{12} + 176476336366388 T^{13} + 1620487652391218 T^{14} + 13273979397406880 T^{15} + 97184691447423550 T^{16} + 598671117810985015 T^{17} + 3137461278144558557 T^{18} + 11912117726054497106 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 31 T + 781 T^{2} - 12960 T^{3} + 189171 T^{4} - 2238658 T^{5} + 24997554 T^{6} - 257331069 T^{7} + 2678983967 T^{8} - 27540449731 T^{9} + 279030575798 T^{10} - 2707083787870 T^{11} + 24833721246022 T^{12} - 218147902319251 T^{13} + 1888600648232023 T^{14} - 16145527947985629 T^{15} + 139587827615587746 T^{16} - 1112571142860170338 T^{17} + 8367285853522116459 T^{18} - 51018190921898969760 T^{19} + \)\(27\!\cdots\!29\)\( T^{20} - \)\(96\!\cdots\!31\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 + 16 T + 690 T^{2} + 7925 T^{3} + 202695 T^{4} + 1701741 T^{5} + 34403724 T^{6} + 202090908 T^{7} + 3921944023 T^{8} + 15114516078 T^{9} + 357185030866 T^{10} + 1071689724030 T^{11} + 31789467747074 T^{12} + 119722081853838 T^{13} + 2764848955950287 T^{14} + 12679636453644828 T^{15} + 192112440082988076 T^{16} + 845733439061263101 T^{17} + 8965470426649250655 T^{18} + 31197466285188991925 T^{19} + \)\(24\!\cdots\!10\)\( T^{20} + \)\(49\!\cdots\!16\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 + 10 T + 677 T^{2} + 4973 T^{3} + 199963 T^{4} + 970018 T^{5} + 34539545 T^{6} + 77856661 T^{7} + 4029402125 T^{8} - 2230293252 T^{9} + 366800976277 T^{10} - 1086109546196 T^{11} + 31629998271396 T^{12} - 96663749611444 T^{13} + 2905430533090117 T^{14} - 1572287603569188 T^{15} + 252813719212662125 T^{16} + 434756223524639789 T^{17} + 17165507663305552745 T^{18} + 42905191012691249522 T^{19} + \)\(78\!\cdots\!03\)\( T^{20} + \)\(17\!\cdots\!57\)\( T^{21} + \)\(21\!\cdots\!77\)\( T^{22} + \)\(27\!\cdots\!90\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 59 T + 2384 T^{2} - 69578 T^{3} + 1675360 T^{4} - 33893673 T^{5} + 601417009 T^{6} - 9451935066 T^{7} + 134456400497 T^{8} - 1742283935262 T^{9} + 20853223280682 T^{10} - 231459762522479 T^{11} + 2404461746000975 T^{12} - 23390499346838736 T^{13} + 213997095394086775 T^{14} - 1833392778940556159 T^{15} + 14700875962959108858 T^{16} - \)\(10\!\cdots\!42\)\( T^{17} + \)\(75\!\cdots\!53\)\( T^{18} - \)\(46\!\cdots\!26\)\( T^{19} + \)\(26\!\cdots\!61\)\( T^{20} - \)\(13\!\cdots\!13\)\( T^{21} + \)\(58\!\cdots\!40\)\( T^{22} - \)\(21\!\cdots\!78\)\( T^{23} + \)\(66\!\cdots\!76\)\( T^{24} - \)\(14\!\cdots\!39\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 - 59 T + 2384 T^{2} - 69578 T^{3} + 1675360 T^{4} - 33893673 T^{5} + 601417009 T^{6} - 9451935066 T^{7} + 134456400497 T^{8} - 1742283935262 T^{9} + 20853223280682 T^{10} - 231459762522479 T^{11} + 2404461746000975 T^{12} - 23390499346838736 T^{13} + 213997095394086775 T^{14} - 1833392778940556159 T^{15} + 14700875962959108858 T^{16} - \)\(10\!\cdots\!42\)\( T^{17} + \)\(75\!\cdots\!53\)\( T^{18} - \)\(46\!\cdots\!26\)\( T^{19} + \)\(26\!\cdots\!61\)\( T^{20} - \)\(13\!\cdots\!13\)\( T^{21} + \)\(58\!\cdots\!40\)\( T^{22} - \)\(21\!\cdots\!78\)\( T^{23} + \)\(66\!\cdots\!76\)\( T^{24} - \)\(14\!\cdots\!39\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 + 8 T + 786 T^{2} + 5721 T^{3} + 310008 T^{4} + 2088915 T^{5} + 81653632 T^{6} + 514673612 T^{7} + 16109198681 T^{8} + 95561947069 T^{9} + 2533211536219 T^{10} + 14184470879274 T^{11} + 330126523592549 T^{12} + 1744221855888495 T^{13} + 36569766758887984 T^{14} + 181530564239611075 T^{15} + 3495206665681166795 T^{16} + 16156220217325385675 T^{17} + \)\(28\!\cdots\!64\)\( T^{18} + \)\(12\!\cdots\!55\)\( T^{19} + \)\(20\!\cdots\!09\)\( T^{20} + \)\(79\!\cdots\!26\)\( T^{21} + \)\(12\!\cdots\!59\)\( T^{22} + \)\(42\!\cdots\!01\)\( T^{23} + \)\(63\!\cdots\!61\)\( T^{24} + \)\(18\!\cdots\!08\)\( T^{25} + \)\(25\!\cdots\!32\)\( T^{26} + \)\(57\!\cdots\!35\)\( T^{27} + \)\(76\!\cdots\!68\)\( T^{28} + \)\(12\!\cdots\!49\)\( T^{29} + \)\(15\!\cdots\!26\)\( T^{30} + \)\(13\!\cdots\!92\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 8 T + 786 T^{2} + 5721 T^{3} + 310008 T^{4} + 2088915 T^{5} + 81653632 T^{6} + 514673612 T^{7} + 16109198681 T^{8} + 95561947069 T^{9} + 2533211536219 T^{10} + 14184470879274 T^{11} + 330126523592549 T^{12} + 1744221855888495 T^{13} + 36569766758887984 T^{14} + 181530564239611075 T^{15} + 3495206665681166795 T^{16} + 16156220217325385675 T^{17} + \)\(28\!\cdots\!64\)\( T^{18} + \)\(12\!\cdots\!55\)\( T^{19} + \)\(20\!\cdots\!09\)\( T^{20} + \)\(79\!\cdots\!26\)\( T^{21} + \)\(12\!\cdots\!59\)\( T^{22} + \)\(42\!\cdots\!01\)\( T^{23} + \)\(63\!\cdots\!61\)\( T^{24} + \)\(18\!\cdots\!08\)\( T^{25} + \)\(25\!\cdots\!32\)\( T^{26} + \)\(57\!\cdots\!35\)\( T^{27} + \)\(76\!\cdots\!68\)\( T^{28} + \)\(12\!\cdots\!49\)\( T^{29} + \)\(15\!\cdots\!26\)\( T^{30} + \)\(13\!\cdots\!92\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 28 T + 1023 T^{2} - 21339 T^{3} + 501110 T^{4} - 8718396 T^{5} + 161236216 T^{6} - 2443003581 T^{7} + 38355601353 T^{8} - 518380622279 T^{9} + 7161907684108 T^{10} - 87575208495789 T^{11} + 1086395978542732 T^{12} - 12122164572687275 T^{13} + 136638373627497421 T^{14} - 1398042998744530366 T^{15} + 14417561118317510403 T^{16} - \)\(13\!\cdots\!58\)\( T^{17} + \)\(12\!\cdots\!67\)\( T^{18} - \)\(11\!\cdots\!86\)\( T^{19} + \)\(96\!\cdots\!49\)\( T^{20} - \)\(76\!\cdots\!75\)\( T^{21} + \)\(60\!\cdots\!68\)\( T^{22} - \)\(43\!\cdots\!29\)\( T^{23} + \)\(31\!\cdots\!32\)\( T^{24} - \)\(20\!\cdots\!99\)\( T^{25} + \)\(13\!\cdots\!77\)\( T^{26} - \)\(76\!\cdots\!81\)\( T^{27} + \)\(44\!\cdots\!24\)\( T^{28} - \)\(21\!\cdots\!16\)\( T^{29} + \)\(11\!\cdots\!90\)\( T^{30} - \)\(41\!\cdots\!99\)\( T^{31} + \)\(17\!\cdots\!27\)\( T^{32} - \)\(43\!\cdots\!08\)\( T^{33} + \)\(13\!\cdots\!29\)\( T^{34} \))(\( 1 - 28 T + 1023 T^{2} - 21339 T^{3} + 501110 T^{4} - 8718396 T^{5} + 161236216 T^{6} - 2443003581 T^{7} + 38355601353 T^{8} - 518380622279 T^{9} + 7161907684108 T^{10} - 87575208495789 T^{11} + 1086395978542732 T^{12} - 12122164572687275 T^{13} + 136638373627497421 T^{14} - 1398042998744530366 T^{15} + 14417561118317510403 T^{16} - \)\(13\!\cdots\!58\)\( T^{17} + \)\(12\!\cdots\!67\)\( T^{18} - \)\(11\!\cdots\!86\)\( T^{19} + \)\(96\!\cdots\!49\)\( T^{20} - \)\(76\!\cdots\!75\)\( T^{21} + \)\(60\!\cdots\!68\)\( T^{22} - \)\(43\!\cdots\!29\)\( T^{23} + \)\(31\!\cdots\!32\)\( T^{24} - \)\(20\!\cdots\!99\)\( T^{25} + \)\(13\!\cdots\!77\)\( T^{26} - \)\(76\!\cdots\!81\)\( T^{27} + \)\(44\!\cdots\!24\)\( T^{28} - \)\(21\!\cdots\!16\)\( T^{29} + \)\(11\!\cdots\!90\)\( T^{30} - \)\(41\!\cdots\!99\)\( T^{31} + \)\(17\!\cdots\!27\)\( T^{32} - \)\(43\!\cdots\!08\)\( T^{33} + \)\(13\!\cdots\!29\)\( T^{34} \))(\( 1 + 12 T + 754 T^{2} + 7111 T^{3} + 276353 T^{4} + 2130267 T^{5} + 66798008 T^{6} + 424829771 T^{7} + 12019235883 T^{8} + 62567112608 T^{9} + 1719951015843 T^{10} + 7156537162876 T^{11} + 204940081759812 T^{12} + 657699989301366 T^{13} + 21230073860587251 T^{14} + 51325095800153091 T^{15} + 2005991474618923866 T^{16} + 3888304374731894680 T^{17} + \)\(18\!\cdots\!52\)\( T^{18} + \)\(34\!\cdots\!20\)\( T^{19} + \)\(15\!\cdots\!86\)\( T^{20} + \)\(36\!\cdots\!79\)\( T^{21} + \)\(13\!\cdots\!91\)\( T^{22} + \)\(36\!\cdots\!34\)\( T^{23} + \)\(10\!\cdots\!32\)\( T^{24} + \)\(31\!\cdots\!04\)\( T^{25} + \)\(67\!\cdots\!83\)\( T^{26} + \)\(21\!\cdots\!72\)\( T^{27} + \)\(37\!\cdots\!83\)\( T^{28} + \)\(11\!\cdots\!19\)\( T^{29} + \)\(16\!\cdots\!68\)\( T^{30} + \)\(46\!\cdots\!23\)\( T^{31} + \)\(54\!\cdots\!73\)\( T^{32} + \)\(12\!\cdots\!39\)\( T^{33} + \)\(11\!\cdots\!94\)\( T^{34} + \)\(16\!\cdots\!48\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( 1 + 12 T + 754 T^{2} + 7111 T^{3} + 276353 T^{4} + 2130267 T^{5} + 66798008 T^{6} + 424829771 T^{7} + 12019235883 T^{8} + 62567112608 T^{9} + 1719951015843 T^{10} + 7156537162876 T^{11} + 204940081759812 T^{12} + 657699989301366 T^{13} + 21230073860587251 T^{14} + 51325095800153091 T^{15} + 2005991474618923866 T^{16} + 3888304374731894680 T^{17} + \)\(18\!\cdots\!52\)\( T^{18} + \)\(34\!\cdots\!20\)\( T^{19} + \)\(15\!\cdots\!86\)\( T^{20} + \)\(36\!\cdots\!79\)\( T^{21} + \)\(13\!\cdots\!91\)\( T^{22} + \)\(36\!\cdots\!34\)\( T^{23} + \)\(10\!\cdots\!32\)\( T^{24} + \)\(31\!\cdots\!04\)\( T^{25} + \)\(67\!\cdots\!83\)\( T^{26} + \)\(21\!\cdots\!72\)\( T^{27} + \)\(37\!\cdots\!83\)\( T^{28} + \)\(11\!\cdots\!19\)\( T^{29} + \)\(16\!\cdots\!68\)\( T^{30} + \)\(46\!\cdots\!23\)\( T^{31} + \)\(54\!\cdots\!73\)\( T^{32} + \)\(12\!\cdots\!39\)\( T^{33} + \)\(11\!\cdots\!94\)\( T^{34} + \)\(16\!\cdots\!48\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))
$97$ (\( 1 + 4 T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 + 5 T + 97 T^{2} \))(\( 1 + 5 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( 1 - 2 T + 150 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 + 9 T + 261 T^{2} + 1709 T^{3} + 25317 T^{4} + 84681 T^{5} + 912673 T^{6} \))(\( 1 + 9 T + 305 T^{2} + 1747 T^{3} + 29585 T^{4} + 84681 T^{5} + 912673 T^{6} \))(\( 1 - 9 T + 305 T^{2} - 1747 T^{3} + 29585 T^{4} - 84681 T^{5} + 912673 T^{6} \))(\( 1 - 23 T + 422 T^{2} - 5705 T^{3} + 64969 T^{4} - 553385 T^{5} + 3970598 T^{6} - 20991479 T^{7} + 88529281 T^{8} \))(\( 1 + T + 373 T^{2} + 282 T^{3} + 62803 T^{4} + 37256 T^{5} + 6091891 T^{6} + 2653338 T^{7} + 340427029 T^{8} + 88529281 T^{9} + 8587340257 T^{10} \))(\( 1 - 20 T + 440 T^{2} - 5064 T^{3} + 71062 T^{4} - 631327 T^{5} + 6893014 T^{6} - 47647176 T^{7} + 401576120 T^{8} - 1770585620 T^{9} + 8587340257 T^{10} \))(\( 1 - 18 T + 390 T^{2} - 3574 T^{3} + 46768 T^{4} - 324445 T^{5} + 4536496 T^{6} - 33627766 T^{7} + 355942470 T^{8} - 1593527058 T^{9} + 8587340257 T^{10} \))(\( 1 - 24 T + 674 T^{2} - 10296 T^{3} + 164351 T^{4} - 1832752 T^{5} + 21000252 T^{6} - 177776944 T^{7} + 1546378559 T^{8} - 9396881208 T^{9} + 59668735394 T^{10} - 206096166168 T^{11} + 832972004929 T^{12} \))(\( 1 + 24 T + 615 T^{2} + 8664 T^{3} + 135829 T^{4} + 1473032 T^{5} + 18552067 T^{6} + 169784976 T^{7} + 1799550499 T^{8} + 13859758088 T^{9} + 123967460917 T^{10} + 767017690584 T^{11} + 5281214258055 T^{12} + 19991328118296 T^{13} + 80798284478113 T^{14} \))(\( 1 + 5 T + 617 T^{2} + 3894 T^{3} + 190392 T^{4} + 1314261 T^{5} + 38871678 T^{6} + 264788968 T^{7} + 5770927749 T^{8} + 36085891166 T^{9} + 643515439683 T^{10} + 3500331443102 T^{11} + 54298659190341 T^{12} + 241665741791464 T^{13} + 3441281704603518 T^{14} + 11286006393505077 T^{15} + 158591205962442168 T^{16} + 314628519757772022 T^{17} + 4835696527730584937 T^{18} + 3801155293272826085 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 29 T + 1002 T^{2} + 18346 T^{3} + 371663 T^{4} + 5068728 T^{5} + 77298943 T^{6} + 853966511 T^{7} + 10961106149 T^{8} + 104666200533 T^{9} + 1221518856246 T^{10} + 10737086980914 T^{11} + 118487329055862 T^{12} + 984804280814997 T^{13} + 10003905632326277 T^{14} + 75601041216908591 T^{15} + 663792325047448351 T^{16} + 4222108524599760312 T^{17} + 30029732803988911919 T^{18} + \)\(14\!\cdots\!06\)\( T^{19} + \)\(76\!\cdots\!34\)\( T^{20} + \)\(21\!\cdots\!21\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 30 T + 1065 T^{2} - 21482 T^{3} + 462555 T^{4} - 7288531 T^{5} + 119304669 T^{6} - 1561323529 T^{7} + 21034065443 T^{8} - 235690368381 T^{9} + 2711365552718 T^{10} - 26363319287805 T^{11} + 263002458613646 T^{12} - 2217610676096829 T^{13} + 19197223610059139 T^{14} - 138222849430752649 T^{15} + 1024509786951759933 T^{16} - 6071142280057169299 T^{17} + 37373650476773558715 T^{18} - \)\(16\!\cdots\!02\)\( T^{19} + \)\(80\!\cdots\!05\)\( T^{20} - \)\(22\!\cdots\!70\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 + 16 T + 472 T^{2} + 6274 T^{3} + 115118 T^{4} + 1336097 T^{5} + 18748754 T^{6} + 205495586 T^{7} + 2406005142 T^{8} + 25697485600 T^{9} + 265660085665 T^{10} + 2799949050210 T^{11} + 26707281618992 T^{12} + 271595057870370 T^{13} + 2499595746021985 T^{14} + 23453401275008800 T^{15} + 213001905303562902 T^{16} + 1764660518293605602 T^{17} + 15617187209300608466 T^{18} + \)\(10\!\cdots\!61\)\( T^{19} + \)\(90\!\cdots\!98\)\( T^{20} + \)\(47\!\cdots\!58\)\( T^{21} + \)\(34\!\cdots\!28\)\( T^{22} + \)\(11\!\cdots\!48\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - T + 676 T^{2} + 1026 T^{3} + 236331 T^{4} + 744326 T^{5} + 57084018 T^{6} + 232322255 T^{7} + 10517391835 T^{8} + 46651156292 T^{9} + 1541330017629 T^{10} + 6787120115718 T^{11} + 183124152729998 T^{12} + 750018652538644 T^{13} + 17763042814809806 T^{14} + 63860013168790662 T^{15} + 1406730291179512317 T^{16} + 4129993324349386052 T^{17} + 90316422303338601595 T^{18} + \)\(19\!\cdots\!95\)\( T^{19} + \)\(46\!\cdots\!34\)\( T^{20} + \)\(58\!\cdots\!86\)\( T^{21} + \)\(17\!\cdots\!27\)\( T^{22} + \)\(75\!\cdots\!74\)\( T^{23} + \)\(48\!\cdots\!28\)\( T^{24} - \)\(69\!\cdots\!41\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 + T + 676 T^{2} - 1026 T^{3} + 236331 T^{4} - 744326 T^{5} + 57084018 T^{6} - 232322255 T^{7} + 10517391835 T^{8} - 46651156292 T^{9} + 1541330017629 T^{10} - 6787120115718 T^{11} + 183124152729998 T^{12} - 750018652538644 T^{13} + 17763042814809806 T^{14} - 63860013168790662 T^{15} + 1406730291179512317 T^{16} - 4129993324349386052 T^{17} + 90316422303338601595 T^{18} - \)\(19\!\cdots\!95\)\( T^{19} + \)\(46\!\cdots\!34\)\( T^{20} - \)\(58\!\cdots\!86\)\( T^{21} + \)\(17\!\cdots\!27\)\( T^{22} - \)\(75\!\cdots\!74\)\( T^{23} + \)\(48\!\cdots\!28\)\( T^{24} + \)\(69\!\cdots\!41\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 + 8 T + 885 T^{2} + 9512 T^{3} + 402646 T^{4} + 5061455 T^{5} + 126290064 T^{6} + 1676251846 T^{7} + 30364604458 T^{8} + 395876850207 T^{9} + 5845071136277 T^{10} + 71594841774599 T^{11} + 917729763503185 T^{12} + 10325351225558496 T^{13} + 118538451844365758 T^{14} + 1214871473443039993 T^{15} + 12645128265999735424 T^{16} + \)\(11\!\cdots\!21\)\( T^{17} + \)\(11\!\cdots\!22\)\( T^{18} + \)\(94\!\cdots\!08\)\( T^{19} + \)\(81\!\cdots\!85\)\( T^{20} + \)\(61\!\cdots\!43\)\( T^{21} + \)\(48\!\cdots\!33\)\( T^{22} + \)\(31\!\cdots\!91\)\( T^{23} + \)\(23\!\cdots\!38\)\( T^{24} + \)\(12\!\cdots\!82\)\( T^{25} + \)\(93\!\cdots\!36\)\( T^{26} + \)\(36\!\cdots\!15\)\( T^{27} + \)\(27\!\cdots\!86\)\( T^{28} + \)\(64\!\cdots\!24\)\( T^{29} + \)\(57\!\cdots\!65\)\( T^{30} + \)\(50\!\cdots\!44\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 8 T + 885 T^{2} - 9512 T^{3} + 402646 T^{4} - 5061455 T^{5} + 126290064 T^{6} - 1676251846 T^{7} + 30364604458 T^{8} - 395876850207 T^{9} + 5845071136277 T^{10} - 71594841774599 T^{11} + 917729763503185 T^{12} - 10325351225558496 T^{13} + 118538451844365758 T^{14} - 1214871473443039993 T^{15} + 12645128265999735424 T^{16} - \)\(11\!\cdots\!21\)\( T^{17} + \)\(11\!\cdots\!22\)\( T^{18} - \)\(94\!\cdots\!08\)\( T^{19} + \)\(81\!\cdots\!85\)\( T^{20} - \)\(61\!\cdots\!43\)\( T^{21} + \)\(48\!\cdots\!33\)\( T^{22} - \)\(31\!\cdots\!91\)\( T^{23} + \)\(23\!\cdots\!38\)\( T^{24} - \)\(12\!\cdots\!82\)\( T^{25} + \)\(93\!\cdots\!36\)\( T^{26} - \)\(36\!\cdots\!15\)\( T^{27} + \)\(27\!\cdots\!86\)\( T^{28} - \)\(64\!\cdots\!24\)\( T^{29} + \)\(57\!\cdots\!65\)\( T^{30} - \)\(50\!\cdots\!44\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 27 T + 1198 T^{2} + 26247 T^{3} + 690907 T^{4} + 12853907 T^{5} + 258030709 T^{6} + 4192631055 T^{7} + 70255252700 T^{8} + 1015768104619 T^{9} + 14832750581016 T^{10} + 193251818657653 T^{11} + 2517130655804809 T^{12} + 29798752651199456 T^{13} + 350875473689988955 T^{14} + 3792898720284616287 T^{15} + 40682575223542652837 T^{16} + \)\(40\!\cdots\!30\)\( T^{17} + \)\(39\!\cdots\!89\)\( T^{18} + \)\(35\!\cdots\!83\)\( T^{19} + \)\(32\!\cdots\!15\)\( T^{20} + \)\(26\!\cdots\!36\)\( T^{21} + \)\(21\!\cdots\!13\)\( T^{22} + \)\(16\!\cdots\!37\)\( T^{23} + \)\(11\!\cdots\!08\)\( T^{24} + \)\(79\!\cdots\!59\)\( T^{25} + \)\(53\!\cdots\!00\)\( T^{26} + \)\(30\!\cdots\!95\)\( T^{27} + \)\(18\!\cdots\!77\)\( T^{28} + \)\(89\!\cdots\!87\)\( T^{29} + \)\(46\!\cdots\!39\)\( T^{30} + \)\(17\!\cdots\!43\)\( T^{31} + \)\(75\!\cdots\!14\)\( T^{32} + \)\(16\!\cdots\!67\)\( T^{33} + \)\(59\!\cdots\!37\)\( T^{34} \))(\( 1 - 27 T + 1198 T^{2} - 26247 T^{3} + 690907 T^{4} - 12853907 T^{5} + 258030709 T^{6} - 4192631055 T^{7} + 70255252700 T^{8} - 1015768104619 T^{9} + 14832750581016 T^{10} - 193251818657653 T^{11} + 2517130655804809 T^{12} - 29798752651199456 T^{13} + 350875473689988955 T^{14} - 3792898720284616287 T^{15} + 40682575223542652837 T^{16} - \)\(40\!\cdots\!30\)\( T^{17} + \)\(39\!\cdots\!89\)\( T^{18} - \)\(35\!\cdots\!83\)\( T^{19} + \)\(32\!\cdots\!15\)\( T^{20} - \)\(26\!\cdots\!36\)\( T^{21} + \)\(21\!\cdots\!13\)\( T^{22} - \)\(16\!\cdots\!37\)\( T^{23} + \)\(11\!\cdots\!08\)\( T^{24} - \)\(79\!\cdots\!59\)\( T^{25} + \)\(53\!\cdots\!00\)\( T^{26} - \)\(30\!\cdots\!95\)\( T^{27} + \)\(18\!\cdots\!77\)\( T^{28} - \)\(89\!\cdots\!87\)\( T^{29} + \)\(46\!\cdots\!39\)\( T^{30} - \)\(17\!\cdots\!43\)\( T^{31} + \)\(75\!\cdots\!14\)\( T^{32} - \)\(16\!\cdots\!67\)\( T^{33} + \)\(59\!\cdots\!37\)\( T^{34} \))(\( 1 + 322 T^{2} + 1108 T^{3} + 71664 T^{4} + 400209 T^{5} + 13609919 T^{6} + 93742981 T^{7} + 2161213908 T^{8} + 18430030950 T^{9} + 298934863327 T^{10} + 2953511681058 T^{11} + 37808239818902 T^{12} + 410178947222478 T^{13} + 4356780776043700 T^{14} + 50417365947372728 T^{15} + 465160873337331659 T^{16} + 5467788731893941552 T^{17} + 46756775018616841592 T^{18} + \)\(53\!\cdots\!44\)\( T^{19} + \)\(43\!\cdots\!31\)\( T^{20} + \)\(46\!\cdots\!44\)\( T^{21} + \)\(38\!\cdots\!00\)\( T^{22} + \)\(35\!\cdots\!46\)\( T^{23} + \)\(31\!\cdots\!58\)\( T^{24} + \)\(23\!\cdots\!54\)\( T^{25} + \)\(23\!\cdots\!47\)\( T^{26} + \)\(14\!\cdots\!50\)\( T^{27} + \)\(15\!\cdots\!92\)\( T^{28} + \)\(67\!\cdots\!93\)\( T^{29} + \)\(94\!\cdots\!79\)\( T^{30} + \)\(26\!\cdots\!93\)\( T^{31} + \)\(46\!\cdots\!16\)\( T^{32} + \)\(70\!\cdots\!44\)\( T^{33} + \)\(19\!\cdots\!62\)\( T^{34} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 + 322 T^{2} - 1108 T^{3} + 71664 T^{4} - 400209 T^{5} + 13609919 T^{6} - 93742981 T^{7} + 2161213908 T^{8} - 18430030950 T^{9} + 298934863327 T^{10} - 2953511681058 T^{11} + 37808239818902 T^{12} - 410178947222478 T^{13} + 4356780776043700 T^{14} - 50417365947372728 T^{15} + 465160873337331659 T^{16} - 5467788731893941552 T^{17} + 46756775018616841592 T^{18} - \)\(53\!\cdots\!44\)\( T^{19} + \)\(43\!\cdots\!31\)\( T^{20} - \)\(46\!\cdots\!44\)\( T^{21} + \)\(38\!\cdots\!00\)\( T^{22} - \)\(35\!\cdots\!46\)\( T^{23} + \)\(31\!\cdots\!58\)\( T^{24} - \)\(23\!\cdots\!54\)\( T^{25} + \)\(23\!\cdots\!47\)\( T^{26} - \)\(14\!\cdots\!50\)\( T^{27} + \)\(15\!\cdots\!92\)\( T^{28} - \)\(67\!\cdots\!93\)\( T^{29} + \)\(94\!\cdots\!79\)\( T^{30} - \)\(26\!\cdots\!93\)\( T^{31} + \)\(46\!\cdots\!16\)\( T^{32} - \)\(70\!\cdots\!44\)\( T^{33} + \)\(19\!\cdots\!62\)\( T^{34} + \)\(57\!\cdots\!89\)\( T^{36} \))
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