Properties

Label 8022.2.a
Level 8022
Weight 2
Character orbit a
Rep. character \(\chi_{8022}(1,\cdot)\)
Character field \(\Q\)
Dimension 189
Newform subspaces 27
Sturm bound 3072
Trace bound 5

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Defining parameters

Level: \( N \) \(=\) \( 8022 = 2 \cdot 3 \cdot 7 \cdot 191 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8022.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 27 \)
Sturm bound: \(3072\)
Trace bound: \(5\)
Distinguishing \(T_p\): \(5\), \(11\), \(13\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(8022))\).

Total New Old
Modular forms 1544 189 1355
Cusp forms 1529 189 1340
Eisenstein series 15 0 15

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

\(2\)\(3\)\(7\)\(191\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(+\)\(13\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(11\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(9\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(15\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(13\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(11\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(9\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(15\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(13\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(10\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(12\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(11\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(8\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(15\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(17\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(7\)
Plus space\(+\)\(85\)
Minus space\(-\)\(104\)

Trace form

\( 189q - 3q^{2} + q^{3} + 189q^{4} - 2q^{5} + q^{6} + q^{7} - 3q^{8} + 189q^{9} + O(q^{10}) \) \( 189q - 3q^{2} + q^{3} + 189q^{4} - 2q^{5} + q^{6} + q^{7} - 3q^{8} + 189q^{9} - 2q^{10} - 4q^{11} + q^{12} - 26q^{13} + q^{14} - 10q^{15} + 189q^{16} - 22q^{17} - 3q^{18} - 12q^{19} - 2q^{20} + q^{21} + 12q^{22} - 8q^{23} + q^{24} + 187q^{25} - 10q^{26} + q^{27} + q^{28} - 10q^{29} - 2q^{30} - 3q^{32} - 4q^{33} - 22q^{34} + 6q^{35} + 189q^{36} + 14q^{37} + 20q^{38} - 2q^{39} - 2q^{40} - 14q^{41} + q^{42} + 4q^{43} - 4q^{44} - 2q^{45} - 8q^{46} - 32q^{47} + q^{48} + 189q^{49} - 29q^{50} + 10q^{51} - 26q^{52} - 34q^{53} + q^{54} - 56q^{55} + q^{56} + 20q^{57} + 22q^{58} - 20q^{59} - 10q^{60} + 22q^{61} + q^{63} + 189q^{64} - 12q^{65} - 4q^{66} - 4q^{67} - 22q^{68} + 8q^{69} + 6q^{70} - 24q^{71} - 3q^{72} - 30q^{73} + 14q^{74} - q^{75} - 12q^{76} - 20q^{77} + 6q^{78} - 2q^{80} + 189q^{81} - 14q^{82} - 12q^{83} + q^{84} - 4q^{85} + 12q^{86} - 2q^{87} + 12q^{88} + 18q^{89} - 2q^{90} + 14q^{91} - 8q^{92} - 16q^{94} + 8q^{95} + q^{96} + 58q^{97} - 3q^{98} - 4q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(8022))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 7 191
8022.2.a.a \(1\) \(64.056\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.b \(1\) \(64.056\) \(\Q\) None \(-1\) \(-1\) \(3\) \(1\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.c \(1\) \(64.056\) \(\Q\) None \(-1\) \(1\) \(-3\) \(1\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.d \(1\) \(64.056\) \(\Q\) None \(1\) \(-1\) \(-3\) \(1\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.e \(1\) \(64.056\) \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
8022.2.a.f \(1\) \(64.056\) \(\Q\) None \(1\) \(-1\) \(2\) \(1\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.g \(1\) \(64.056\) \(\Q\) None \(1\) \(1\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.h \(1\) \(64.056\) \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.i \(1\) \(64.056\) \(\Q\) None \(1\) \(1\) \(3\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.j \(2\) \(64.056\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(2\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.k \(2\) \(64.056\) \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(3\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.l \(7\) \(64.056\) 7.7.118870813.1 None \(7\) \(7\) \(-8\) \(7\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)
8022.2.a.m \(7\) \(64.056\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(7\) \(7\) \(-3\) \(-7\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{2}+\beta _{6})q^{5}+\cdots\)
8022.2.a.n \(8\) \(64.056\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-8\) \(9\) \(8\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+(1+\beta _{4})q^{5}+q^{6}+\cdots\)
8022.2.a.o \(8\) \(64.056\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(8\) \(2\) \(8\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots\)
8022.2.a.p \(9\) \(64.056\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-9\) \(-4\) \(9\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-\beta _{6}q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.q \(9\) \(64.056\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-9\) \(6\) \(-9\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(1+\beta _{2})q^{5}-q^{6}+\cdots\)
8022.2.a.r \(10\) \(64.056\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(-10\) \(8\) \(10\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots\)
8022.2.a.s \(11\) \(64.056\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(-11\) \(6\) \(-11\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)
8022.2.a.t \(11\) \(64.056\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(11\) \(1\) \(-11\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-q^{7}+\cdots\)
8022.2.a.u \(11\) \(64.056\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(-11\) \(-8\) \(-11\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{4})q^{5}-q^{6}+\cdots\)
8022.2.a.v \(13\) \(64.056\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-13\) \(-13\) \(-5\) \(-13\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.w \(13\) \(64.056\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-13\) \(13\) \(-2\) \(-13\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-q^{7}+\cdots\)
8022.2.a.x \(14\) \(64.056\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-14\) \(-10\) \(14\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots\)
8022.2.a.y \(14\) \(64.056\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(14\) \(14\) \(-4\) \(-14\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.z \(15\) \(64.056\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-15\) \(15\) \(0\) \(15\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.ba \(16\) \(64.056\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(16\) \(11\) \(16\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(8022))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(8022)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(191))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(382))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(573))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1146))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1337))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2674))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4011))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{7} \))(\( ( 1 - T )^{7} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{13} \))(\( ( 1 + T )^{13} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{15} \))(\( ( 1 - T )^{16} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{7} \))(\( ( 1 - T )^{7} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 - T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{13} \))(\( ( 1 - T )^{13} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 - T )^{15} \))(\( ( 1 - T )^{16} \))
$5$ (\( 1 + T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 2 T + 8 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 8 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 + 8 T + 52 T^{2} + 235 T^{3} + 918 T^{4} + 2905 T^{5} + 8150 T^{6} + 19299 T^{7} + 40750 T^{8} + 72625 T^{9} + 114750 T^{10} + 146875 T^{11} + 162500 T^{12} + 125000 T^{13} + 78125 T^{14} \))(\( 1 + 3 T + 23 T^{2} + 59 T^{3} + 254 T^{4} + 569 T^{5} + 1835 T^{6} + 3492 T^{7} + 9175 T^{8} + 14225 T^{9} + 31750 T^{10} + 36875 T^{11} + 71875 T^{12} + 46875 T^{13} + 78125 T^{14} \))(\( 1 - 9 T + 60 T^{2} - 292 T^{3} + 1195 T^{4} - 4114 T^{5} + 12471 T^{6} - 33127 T^{7} + 78714 T^{8} - 165635 T^{9} + 311775 T^{10} - 514250 T^{11} + 746875 T^{12} - 912500 T^{13} + 937500 T^{14} - 703125 T^{15} + 390625 T^{16} \))(\( 1 - 2 T + 28 T^{2} - 54 T^{3} + 394 T^{4} - 686 T^{5} + 3484 T^{6} - 5265 T^{7} + 20947 T^{8} - 26325 T^{9} + 87100 T^{10} - 85750 T^{11} + 246250 T^{12} - 168750 T^{13} + 437500 T^{14} - 156250 T^{15} + 390625 T^{16} \))(\( 1 + 4 T + 26 T^{2} + 77 T^{3} + 283 T^{4} + 643 T^{5} + 1818 T^{6} + 3346 T^{7} + 8964 T^{8} + 15556 T^{9} + 44820 T^{10} + 83650 T^{11} + 227250 T^{12} + 401875 T^{13} + 884375 T^{14} + 1203125 T^{15} + 2031250 T^{16} + 1562500 T^{17} + 1953125 T^{18} \))(\( 1 - 6 T + 38 T^{2} - 151 T^{3} + 577 T^{4} - 1807 T^{5} + 5346 T^{6} - 14314 T^{7} + 35656 T^{8} - 83026 T^{9} + 178280 T^{10} - 357850 T^{11} + 668250 T^{12} - 1129375 T^{13} + 1803125 T^{14} - 2359375 T^{15} + 2968750 T^{16} - 2343750 T^{17} + 1953125 T^{18} \))(\( 1 - 8 T + 58 T^{2} - 284 T^{3} + 1265 T^{4} - 4638 T^{5} + 15686 T^{6} - 46619 T^{7} + 129149 T^{8} - 323045 T^{9} + 757226 T^{10} - 1615225 T^{11} + 3228725 T^{12} - 5827375 T^{13} + 9803750 T^{14} - 14493750 T^{15} + 19765625 T^{16} - 22187500 T^{17} + 22656250 T^{18} - 15625000 T^{19} + 9765625 T^{20} \))(\( 1 - 6 T + 36 T^{2} - 145 T^{3} + 562 T^{4} - 1783 T^{5} + 5628 T^{6} - 15511 T^{7} + 42719 T^{8} - 105703 T^{9} + 261174 T^{10} - 583496 T^{11} + 1305870 T^{12} - 2642575 T^{13} + 5339875 T^{14} - 9694375 T^{15} + 17587500 T^{16} - 27859375 T^{17} + 43906250 T^{18} - 56640625 T^{19} + 70312500 T^{20} - 58593750 T^{21} + 48828125 T^{22} \))(\( 1 - T + 25 T^{2} - 14 T^{3} + 285 T^{4} - 31 T^{5} + 1883 T^{6} + 1137 T^{7} + 7436 T^{8} + 15569 T^{9} + 19866 T^{10} + 102408 T^{11} + 99330 T^{12} + 389225 T^{13} + 929500 T^{14} + 710625 T^{15} + 5884375 T^{16} - 484375 T^{17} + 22265625 T^{18} - 5468750 T^{19} + 48828125 T^{20} - 9765625 T^{21} + 48828125 T^{22} \))(\( 1 + 8 T + 49 T^{2} + 222 T^{3} + 885 T^{4} + 3118 T^{5} + 10109 T^{6} + 30133 T^{7} + 83925 T^{8} + 217958 T^{9} + 534447 T^{10} + 1228346 T^{11} + 2672235 T^{12} + 5448950 T^{13} + 10490625 T^{14} + 18833125 T^{15} + 31590625 T^{16} + 48718750 T^{17} + 69140625 T^{18} + 86718750 T^{19} + 95703125 T^{20} + 78125000 T^{21} + 48828125 T^{22} \))(\( 1 + 5 T + 35 T^{2} + 128 T^{3} + 562 T^{4} + 1736 T^{5} + 6026 T^{6} + 16891 T^{7} + 50463 T^{8} + 131266 T^{9} + 347853 T^{10} + 841303 T^{11} + 2021364 T^{12} + 4549804 T^{13} + 10106820 T^{14} + 21032575 T^{15} + 43481625 T^{16} + 82041250 T^{17} + 157696875 T^{18} + 263921875 T^{19} + 470781250 T^{20} + 678125000 T^{21} + 1097656250 T^{22} + 1250000000 T^{23} + 1708984375 T^{24} + 1220703125 T^{25} + 1220703125 T^{26} \))(\( 1 + 2 T + 26 T^{2} + 53 T^{3} + 393 T^{4} + 773 T^{5} + 4320 T^{6} + 8126 T^{7} + 37351 T^{8} + 66370 T^{9} + 264820 T^{10} + 439747 T^{11} + 1569317 T^{12} + 2413954 T^{13} + 7846585 T^{14} + 10993675 T^{15} + 33102500 T^{16} + 41481250 T^{17} + 116721875 T^{18} + 126968750 T^{19} + 337500000 T^{20} + 301953125 T^{21} + 767578125 T^{22} + 517578125 T^{23} + 1269531250 T^{24} + 488281250 T^{25} + 1220703125 T^{26} \))(\( 1 + 10 T + 74 T^{2} + 414 T^{3} + 1995 T^{4} + 8406 T^{5} + 32124 T^{6} + 112397 T^{7} + 365336 T^{8} + 1109427 T^{9} + 3167724 T^{10} + 8536263 T^{11} + 21766774 T^{12} + 52634883 T^{13} + 120772824 T^{14} + 263174415 T^{15} + 544169350 T^{16} + 1067032875 T^{17} + 1979827500 T^{18} + 3466959375 T^{19} + 5708375000 T^{20} + 8781015625 T^{21} + 12548437500 T^{22} + 16417968750 T^{23} + 19482421875 T^{24} + 20214843750 T^{25} + 18066406250 T^{26} + 12207031250 T^{27} + 6103515625 T^{28} \))(\( 1 + 4 T + 30 T^{2} + 94 T^{3} + 419 T^{4} + 1146 T^{5} + 4096 T^{6} + 10337 T^{7} + 32334 T^{8} + 75173 T^{9} + 212710 T^{10} + 460977 T^{11} + 1227770 T^{12} + 2534981 T^{13} + 6443344 T^{14} + 12674905 T^{15} + 30694250 T^{16} + 57622125 T^{17} + 132943750 T^{18} + 234915625 T^{19} + 505218750 T^{20} + 807578125 T^{21} + 1600000000 T^{22} + 2238281250 T^{23} + 4091796875 T^{24} + 4589843750 T^{25} + 7324218750 T^{26} + 4882812500 T^{27} + 6103515625 T^{28} \))(\( 1 + 22 T^{2} + T^{3} + 248 T^{4} + 15 T^{5} + 2126 T^{6} + 15 T^{7} + 16010 T^{8} - 655 T^{9} + 106208 T^{10} - 6847 T^{11} + 630778 T^{12} - 65296 T^{13} + 3450179 T^{14} - 435314 T^{15} + 17250895 T^{16} - 1632400 T^{17} + 78847250 T^{18} - 4279375 T^{19} + 331900000 T^{20} - 10234375 T^{21} + 1250781250 T^{22} + 5859375 T^{23} + 4152343750 T^{24} + 146484375 T^{25} + 12109375000 T^{26} + 244140625 T^{27} + 26855468750 T^{28} + 30517578125 T^{30} \))(\( 1 - 11 T + 86 T^{2} - 479 T^{3} + 2272 T^{4} - 9185 T^{5} + 33904 T^{6} - 113730 T^{7} + 358778 T^{8} - 1056063 T^{9} + 2966850 T^{10} - 7903394 T^{11} + 20332884 T^{12} - 50168982 T^{13} + 120524888 T^{14} - 279697328 T^{15} + 635320194 T^{16} - 1398486640 T^{17} + 3013122200 T^{18} - 6271122750 T^{19} + 12708052500 T^{20} - 24698106250 T^{21} + 46357031250 T^{22} - 82504921875 T^{23} + 140147656250 T^{24} - 222128906250 T^{25} + 331093750000 T^{26} - 448486328125 T^{27} + 554687500000 T^{28} - 584716796875 T^{29} + 524902343750 T^{30} - 335693359375 T^{31} + 152587890625 T^{32} \))
$7$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{7} \))(\( ( 1 + T )^{7} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{10} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{11} \))(\( ( 1 + T )^{13} \))(\( ( 1 + T )^{13} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{15} \))(\( ( 1 - T )^{16} \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 14 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 9 T + 73 T^{2} + 400 T^{3} + 2030 T^{4} + 8502 T^{5} + 33815 T^{6} + 114938 T^{7} + 371965 T^{8} + 1028742 T^{9} + 2701930 T^{10} + 5856400 T^{11} + 11756723 T^{12} + 15944049 T^{13} + 19487171 T^{14} \))(\( 1 + 7 T + 81 T^{2} + 408 T^{3} + 2670 T^{4} + 10334 T^{5} + 48453 T^{6} + 147242 T^{7} + 532983 T^{8} + 1250414 T^{9} + 3553770 T^{10} + 5973528 T^{11} + 13045131 T^{12} + 12400927 T^{13} + 19487171 T^{14} \))(\( 1 - T + 60 T^{2} - 31 T^{3} + 1697 T^{4} - 208 T^{5} + 30297 T^{6} + 2686 T^{7} + 386366 T^{8} + 29546 T^{9} + 3665937 T^{10} - 276848 T^{11} + 24845777 T^{12} - 4992581 T^{13} + 106293660 T^{14} - 19487171 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T + 66 T^{2} - 201 T^{3} + 2001 T^{4} - 5003 T^{5} + 38139 T^{6} - 80602 T^{7} + 501199 T^{8} - 886622 T^{9} + 4614819 T^{10} - 6658993 T^{11} + 29296641 T^{12} - 32371251 T^{13} + 116923026 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 3 T + 43 T^{2} + 98 T^{3} + 939 T^{4} + 2045 T^{5} + 15744 T^{6} + 32108 T^{7} + 208815 T^{8} + 384324 T^{9} + 2296965 T^{10} + 3885068 T^{11} + 20955264 T^{12} + 29940845 T^{13} + 151226889 T^{14} + 173612978 T^{15} + 837948353 T^{16} + 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 + 7 T + 69 T^{2} + 362 T^{3} + 2345 T^{4} + 10209 T^{5} + 50694 T^{6} + 186690 T^{7} + 768521 T^{8} + 2425736 T^{9} + 8453731 T^{10} + 22589490 T^{11} + 67473714 T^{12} + 149469969 T^{13} + 377664595 T^{14} + 641305082 T^{15} + 1344614799 T^{16} + 1500512167 T^{17} + 2357947691 T^{18} \))(\( 1 - 4 T + 64 T^{2} - 203 T^{3} + 1834 T^{4} - 4809 T^{5} + 31909 T^{6} - 71671 T^{7} + 401854 T^{8} - 828741 T^{9} + 4449224 T^{10} - 9116151 T^{11} + 48624334 T^{12} - 95394101 T^{13} + 467179669 T^{14} - 774494259 T^{15} + 3249042874 T^{16} - 3955895713 T^{17} + 13718968384 T^{18} - 9431790764 T^{19} + 25937424601 T^{20} \))(\( 1 + T + 55 T^{2} + 94 T^{3} + 1542 T^{4} + 3106 T^{5} + 31413 T^{6} + 61952 T^{7} + 507136 T^{8} + 959553 T^{9} + 6635471 T^{10} + 11952716 T^{11} + 72990181 T^{12} + 116105913 T^{13} + 674998016 T^{14} + 907039232 T^{15} + 5059095063 T^{16} + 5502468466 T^{17} + 30049217682 T^{18} + 20149734814 T^{19} + 129687123005 T^{20} + 25937424601 T^{21} + 285311670611 T^{22} \))(\( 1 + 53 T^{2} - 11 T^{3} + 1168 T^{4} - 402 T^{5} + 10989 T^{6} - 5826 T^{7} - 46877 T^{8} - 40834 T^{9} - 2529960 T^{10} - 237162 T^{11} - 27829560 T^{12} - 4940914 T^{13} - 62393287 T^{14} - 85298466 T^{15} + 1769789439 T^{16} - 712167522 T^{17} + 22761015728 T^{18} - 2357947691 T^{19} + 124971227623 T^{20} + 285311670611 T^{22} \))(\( 1 - 16 T + 171 T^{2} - 1349 T^{3} + 8966 T^{4} - 51302 T^{5} + 263877 T^{6} - 1227984 T^{7} + 5273761 T^{8} - 20901262 T^{9} + 77219856 T^{10} - 264967214 T^{11} + 849418416 T^{12} - 2529052702 T^{13} + 7019375891 T^{14} - 17978913744 T^{15} + 42497654727 T^{16} - 90884622422 T^{17} + 174721975186 T^{18} - 289170130469 T^{19} + 403209055161 T^{20} - 414998793616 T^{21} + 285311670611 T^{22} \))(\( 1 - 2 T + 65 T^{2} - 153 T^{3} + 1861 T^{4} - 5294 T^{5} + 31542 T^{6} - 107957 T^{7} + 384139 T^{8} - 1437454 T^{9} + 4293389 T^{10} - 14010986 T^{11} + 50056211 T^{12} - 134936068 T^{13} + 550618321 T^{14} - 1695329306 T^{15} + 5714500759 T^{16} - 21045764014 T^{17} + 61865970089 T^{18} - 191252410877 T^{19} + 614664347682 T^{20} - 1134815916014 T^{21} + 4388140652951 T^{22} - 3968425963953 T^{23} + 18545258589715 T^{24} - 6276856753442 T^{25} + 34522712143931 T^{26} \))(\( 1 + T + 57 T^{2} + 70 T^{3} + 1715 T^{4} + 2595 T^{5} + 35828 T^{6} + 63578 T^{7} + 585944 T^{8} + 1160867 T^{9} + 8077512 T^{10} + 16845456 T^{11} + 98361541 T^{12} + 202307890 T^{13} + 1081976951 T^{14} + 2038300176 T^{15} + 10751168472 T^{16} + 16996253747 T^{17} + 94366867144 T^{18} + 112632305258 T^{19} + 698186362588 T^{20} + 556261296195 T^{21} + 4043880290065 T^{22} + 1815619722070 T^{23} + 16262765224827 T^{24} + 3138428376721 T^{25} + 34522712143931 T^{26} \))(\( 1 + 8 T + 82 T^{2} + 417 T^{3} + 2794 T^{4} + 11937 T^{5} + 67625 T^{6} + 259271 T^{7} + 1285323 T^{8} + 4489717 T^{9} + 20320330 T^{10} + 66363900 T^{11} + 276796866 T^{12} + 839315334 T^{13} + 3249101382 T^{14} + 9232468674 T^{15} + 33492420786 T^{16} + 88330350900 T^{17} + 297509951530 T^{18} + 723073412567 T^{19} + 2277028099203 T^{20} + 5052458312341 T^{21} + 14496019327625 T^{22} + 28146821587467 T^{23} + 72469164335194 T^{24} + 118974966644787 T^{25} + 257351126891122 T^{26} + 276181697151448 T^{27} + 379749833583241 T^{28} \))(\( 1 - 10 T + 108 T^{2} - 681 T^{3} + 4312 T^{4} - 20101 T^{5} + 95147 T^{6} - 358993 T^{7} + 1420329 T^{8} - 4602889 T^{9} + 16181306 T^{10} - 46268414 T^{11} + 152534302 T^{12} - 414191632 T^{13} + 1479933982 T^{14} - 4556107952 T^{15} + 18456650542 T^{16} - 61583259034 T^{17} + 236910501146 T^{18} - 741299876339 T^{19} + 2516199463569 T^{20} - 6995757978803 T^{21} + 20395604450507 T^{22} - 47397106536791 T^{23} + 111842174879512 T^{24} - 194297247686091 T^{25} + 338950264685868 T^{26} - 345227121439310 T^{27} + 379749833583241 T^{28} \))(\( 1 + 7 T + 77 T^{2} + 446 T^{3} + 3256 T^{4} + 16908 T^{5} + 97699 T^{6} + 457352 T^{7} + 2250769 T^{8} + 9645294 T^{9} + 41986836 T^{10} + 165344410 T^{11} + 648509133 T^{12} + 2353850903 T^{13} + 8429051559 T^{14} + 28201014656 T^{15} + 92719567149 T^{16} + 284815959263 T^{17} + 863165656023 T^{18} + 2420807506810 T^{19} + 6762021924636 T^{20} + 17087226683934 T^{21} + 43861120384499 T^{22} + 98037462943112 T^{23} + 230369131463009 T^{24} + 438549975153708 T^{25} + 928974799509416 T^{26} + 1399739056017566 T^{27} + 2658248835082687 T^{28} + 2658248835082687 T^{29} + 4177248169415651 T^{30} \))(\( 1 - 8 T + 98 T^{2} - 569 T^{3} + 4287 T^{4} - 20063 T^{5} + 118009 T^{6} - 470240 T^{7} + 2387681 T^{8} - 8466894 T^{9} + 39467293 T^{10} - 129284609 T^{11} + 571643277 T^{12} - 1768437931 T^{13} + 7451646832 T^{14} - 21826795526 T^{15} + 86941462436 T^{16} - 240094750786 T^{17} + 901649266672 T^{18} - 2353790886161 T^{19} + 8369429218557 T^{20} - 20821415564059 T^{21} + 69918717054373 T^{22} - 164995811216874 T^{23} + 511820627344961 T^{24} - 1108801322215840 T^{25} + 3060849539739409 T^{26} - 5724208047468493 T^{27} + 13454442451002927 T^{28} - 19643423209896739 T^{29} + 37215483691157618 T^{30} - 33417985355325208 T^{31} + 45949729863572161 T^{32} \))
$13$ (\( 1 + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T - 26 T^{3} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( 1 + 15 T + 163 T^{2} + 1228 T^{3} + 7780 T^{4} + 40112 T^{5} + 181421 T^{6} + 695142 T^{7} + 2358473 T^{8} + 6778928 T^{9} + 17092660 T^{10} + 35072908 T^{11} + 60520759 T^{12} + 72402135 T^{13} + 62748517 T^{14} \))(\( 1 + 7 T + 55 T^{2} + 276 T^{3} + 1478 T^{4} + 5900 T^{5} + 25883 T^{6} + 90484 T^{7} + 336479 T^{8} + 997100 T^{9} + 3247166 T^{10} + 7882836 T^{11} + 20421115 T^{12} + 33787663 T^{13} + 62748517 T^{14} \))(\( 1 - 6 T + 74 T^{2} - 383 T^{3} + 2571 T^{4} - 11177 T^{5} + 56057 T^{6} - 204344 T^{7} + 856501 T^{8} - 2656472 T^{9} + 9473633 T^{10} - 24555869 T^{11} + 73430331 T^{12} - 142205219 T^{13} + 357183866 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 + 11 T + 104 T^{2} + 707 T^{3} + 4241 T^{4} + 21690 T^{5} + 101399 T^{6} + 419146 T^{7} + 1602918 T^{8} + 5448898 T^{9} + 17136431 T^{10} + 47652930 T^{11} + 121127201 T^{12} + 262504151 T^{13} + 501988136 T^{14} + 690233687 T^{15} + 815730721 T^{16} \))(\( 1 + 9 T + 107 T^{2} + 676 T^{3} + 4629 T^{4} + 22901 T^{5} + 115998 T^{6} + 480310 T^{7} + 2000805 T^{8} + 7203696 T^{9} + 26010465 T^{10} + 81172390 T^{11} + 254847606 T^{12} + 654075461 T^{13} + 1718715297 T^{14} + 3262922884 T^{15} + 6714091319 T^{16} + 7341576489 T^{17} + 10604499373 T^{18} \))(\( 1 + T + 73 T^{2} + 78 T^{3} + 2701 T^{4} + 2913 T^{5} + 65816 T^{6} + 66464 T^{7} + 1154239 T^{8} + 1032104 T^{9} + 15005107 T^{10} + 11232416 T^{11} + 144597752 T^{12} + 83198193 T^{13} + 1002862393 T^{14} + 376491102 T^{15} + 4580641741 T^{16} + 815730721 T^{17} + 10604499373 T^{18} \))(\( 1 - 6 T + 84 T^{2} - 335 T^{3} + 2726 T^{4} - 7045 T^{5} + 47319 T^{6} - 63827 T^{7} + 545432 T^{8} - 138641 T^{9} + 6108156 T^{10} - 1802333 T^{11} + 92178008 T^{12} - 140227919 T^{13} + 1351477959 T^{14} - 2615759185 T^{15} + 13157881334 T^{16} - 21020753195 T^{17} + 68521380564 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 - 2 T + 89 T^{2} - 185 T^{3} + 3870 T^{4} - 8206 T^{5} + 110733 T^{6} - 231124 T^{7} + 2344897 T^{8} - 4617930 T^{9} + 38599962 T^{10} - 68917746 T^{11} + 501799506 T^{12} - 780430170 T^{13} + 5151738709 T^{14} - 6601132564 T^{15} + 41114387769 T^{16} - 39608794654 T^{17} + 242836760790 T^{18} - 150910183385 T^{19} + 943800444197 T^{20} - 275716983698 T^{21} + 1792160394037 T^{22} \))(\( 1 + 15 T + 199 T^{2} + 1856 T^{3} + 15118 T^{4} + 104052 T^{5} + 639217 T^{6} + 3492274 T^{7} + 17323412 T^{8} + 77865941 T^{9} + 320906249 T^{10} + 1206450732 T^{11} + 4171781237 T^{12} + 13159344029 T^{13} + 38059536164 T^{14} + 99742837714 T^{15} + 237336797581 T^{16} + 502239130068 T^{17} + 948632080006 T^{18} + 1513996218176 T^{19} + 2110295375227 T^{20} + 2067877377735 T^{21} + 1792160394037 T^{22} \))(\( 1 + 2 T + 49 T^{2} + 67 T^{3} + 1564 T^{4} + 1738 T^{5} + 34925 T^{6} + 25238 T^{7} + 627537 T^{8} + 351976 T^{9} + 9409904 T^{10} + 3854174 T^{11} + 122328752 T^{12} + 59483944 T^{13} + 1378698789 T^{14} + 720822518 T^{15} + 12967408025 T^{16} + 8388994042 T^{17} + 98138680588 T^{18} + 54653958307 T^{19} + 519620469277 T^{20} + 275716983698 T^{21} + 1792160394037 T^{22} \))(\( 1 + 9 T + 115 T^{2} + 760 T^{3} + 5657 T^{4} + 29587 T^{5} + 164232 T^{6} + 711706 T^{7} + 3256984 T^{8} + 12196789 T^{9} + 49466186 T^{10} + 169328634 T^{11} + 655353509 T^{12} + 2194648886 T^{13} + 8519595617 T^{14} + 28616539146 T^{15} + 108677210642 T^{16} + 348352490629 T^{17} + 1209295360312 T^{18} + 3435268926154 T^{19} + 10305314443944 T^{20} + 24135024842227 T^{21} + 59989652953061 T^{22} + 104772453805240 T^{23} + 206098445314255 T^{24} + 209682766102329 T^{25} + 302875106592253 T^{26} \))(\( 1 - 14 T + 153 T^{2} - 1191 T^{3} + 8537 T^{4} - 52044 T^{5} + 300166 T^{6} - 1547307 T^{7} + 7652143 T^{8} - 34688150 T^{9} + 151764551 T^{10} - 615492286 T^{11} + 2418068631 T^{12} - 8854123792 T^{13} + 31434892203 T^{14} - 104018196334 T^{15} + 333426718547 T^{16} - 990728252150 T^{17} + 2841187130899 T^{18} - 7468555353363 T^{19} + 18834971353822 T^{20} - 42453889643724 T^{21} + 90530611147301 T^{22} - 164189463792159 T^{23} + 274200540287661 T^{24} - 326173191714734 T^{25} + 302875106592253 T^{26} \))(\( 1 - 5 T + 94 T^{2} - 417 T^{3} + 4390 T^{4} - 18091 T^{5} + 138411 T^{6} - 541493 T^{7} + 3313430 T^{8} - 12398163 T^{9} + 64008272 T^{10} - 229133455 T^{11} + 1038810419 T^{12} - 3527341124 T^{13} + 14505251486 T^{14} - 45855434612 T^{15} + 175558960811 T^{16} - 503406200635 T^{17} + 1828140256592 T^{18} - 4603351134759 T^{19} + 15993293744870 T^{20} - 33977882715881 T^{21} + 112906104824331 T^{22} - 191845998156943 T^{23} + 605198779217110 T^{24} - 747330884313429 T^{25} + 2190020001513214 T^{26} - 1514375532961265 T^{27} + 3937376385699289 T^{28} \))(\( 1 + 72 T^{2} + 41 T^{3} + 2360 T^{4} + 2217 T^{5} + 48543 T^{6} + 32011 T^{7} + 716451 T^{8} - 528205 T^{9} + 7254896 T^{10} - 28151048 T^{11} + 35192296 T^{12} - 561696208 T^{13} + 20901418 T^{14} - 7302050704 T^{15} + 5947498024 T^{16} - 61847852456 T^{17} + 207207084656 T^{18} - 196118819065 T^{19} + 3458172134859 T^{20} + 2008642777687 T^{21} + 39598016389503 T^{22} + 23510175109941 T^{23} + 325346040763640 T^{24} + 73478576155517 T^{25} + 1677462128818632 T^{26} + 3937376385699289 T^{28} \))(\( 1 - 10 T + 135 T^{2} - 975 T^{3} + 8026 T^{4} - 46526 T^{5} + 295761 T^{6} - 1461876 T^{7} + 7862666 T^{8} - 34452512 T^{9} + 164607975 T^{10} - 656270253 T^{11} + 2865239906 T^{12} - 10563906028 T^{13} + 42793774814 T^{14} - 147113642296 T^{15} + 556319072582 T^{16} - 1785300118732 T^{17} + 6294932073482 T^{18} - 18743734695933 T^{19} + 61117788861675 T^{20} - 166295694994208 T^{21} + 493370631166322 T^{22} - 1192497163492596 T^{23} + 3136397339057853 T^{24} - 6414004191766574 T^{25} + 14383879322540962 T^{26} - 22715632994418975 T^{27} + 40888139389954155 T^{28} - 39373763856992890 T^{29} + 51185893014090757 T^{30} \))(\( 1 - 6 T + 118 T^{2} - 649 T^{3} + 7245 T^{4} - 36195 T^{5} + 301337 T^{6} - 1375496 T^{7} + 9417023 T^{8} - 39487636 T^{9} + 233363739 T^{10} - 901544393 T^{11} + 4727831927 T^{12} - 16844654899 T^{13} + 79709702446 T^{14} - 261601455350 T^{15} + 1128931171608 T^{16} - 3400818919550 T^{17} + 13470939713374 T^{18} - 37007706813103 T^{19} + 135031607667047 T^{20} - 334737122310149 T^{21} + 1126402195678851 T^{22} - 2477790598835812 T^{23} + 7681754961463583 T^{24} - 14586446469564008 T^{25} + 41541864358302113 T^{26} - 64867245462169215 T^{27} + 168794626712374845 T^{28} - 196565944178372197 T^{29} + 464610413512516102 T^{30} - 307115358084544542 T^{31} + 665416609183179841 T^{32} \))
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( 1 + 5 T + 36 T^{2} + 85 T^{3} + 289 T^{4} \))(\( 1 + 16 T + 169 T^{2} + 1267 T^{3} + 8089 T^{4} + 44353 T^{5} + 220173 T^{6} + 958559 T^{7} + 3742941 T^{8} + 12818017 T^{9} + 39741257 T^{10} + 105821107 T^{11} + 239955833 T^{12} + 386201104 T^{13} + 410338673 T^{14} \))(\( 1 + 11 T + 134 T^{2} + 958 T^{3} + 6856 T^{4} + 36750 T^{5} + 192204 T^{6} + 805228 T^{7} + 3267468 T^{8} + 10620750 T^{9} + 33683528 T^{10} + 80013118 T^{11} + 190260838 T^{12} + 265513259 T^{13} + 410338673 T^{14} \))(\( 1 - 14 T + 175 T^{2} - 1386 T^{3} + 9991 T^{4} - 56125 T^{5} + 298317 T^{6} - 1341643 T^{7} + 5922647 T^{8} - 22807931 T^{9} + 86213613 T^{10} - 275742125 T^{11} + 834458311 T^{12} - 1967921802 T^{13} + 4224074575 T^{14} - 5744741422 T^{15} + 6975757441 T^{16} \))(\( 1 + 6 T + 75 T^{2} + 410 T^{3} + 3033 T^{4} + 14909 T^{5} + 84003 T^{6} + 357367 T^{7} + 1670545 T^{8} + 6075239 T^{9} + 24276867 T^{10} + 73247917 T^{11} + 253319193 T^{12} + 582141370 T^{13} + 1810317675 T^{14} + 2462032038 T^{15} + 6975757441 T^{16} \))(\( 1 + 12 T + 151 T^{2} + 1207 T^{3} + 9432 T^{4} + 57937 T^{5} + 346164 T^{6} + 1735942 T^{7} + 8456664 T^{8} + 35397204 T^{9} + 143763288 T^{10} + 501687238 T^{11} + 1700703732 T^{12} + 4838956177 T^{13} + 13392091224 T^{14} + 29134045783 T^{15} + 61961139623 T^{16} + 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 + 10 T + 143 T^{2} + 1043 T^{3} + 8940 T^{4} + 51897 T^{5} + 332266 T^{6} + 1589548 T^{7} + 8185534 T^{8} + 32641676 T^{9} + 139154078 T^{10} + 459379372 T^{11} + 1632422858 T^{12} + 4334489337 T^{13} + 12693521580 T^{14} + 25175484467 T^{15} + 58678430239 T^{16} + 69757574410 T^{17} + 118587876497 T^{18} \))(\( 1 - 5 T + 122 T^{2} - 516 T^{3} + 6867 T^{4} - 25615 T^{5} + 243464 T^{6} - 819362 T^{7} + 6186373 T^{8} - 18759853 T^{9} + 119551405 T^{10} - 318917501 T^{11} + 1787861797 T^{12} - 4025525506 T^{13} + 20334356744 T^{14} - 36369637055 T^{15} + 165752686323 T^{16} - 211734755268 T^{17} + 851042407802 T^{18} - 592939382485 T^{19} + 2015993900449 T^{20} \))(\( 1 - 13 T + 194 T^{2} - 1655 T^{3} + 14527 T^{4} - 93041 T^{5} + 605237 T^{6} - 3126440 T^{7} + 16648683 T^{8} - 73544103 T^{9} + 343913366 T^{10} - 1368099476 T^{11} + 5846527222 T^{12} - 21254245767 T^{13} + 81794979579 T^{14} - 261123395240 T^{15} + 859349991109 T^{16} - 2245783557329 T^{17} + 5960989902671 T^{18} - 11544878564855 T^{19} + 23006048040418 T^{20} - 26207920705837 T^{21} + 34271896307633 T^{22} \))(\( 1 + T + 102 T^{2} + 143 T^{3} + 5245 T^{4} + 10055 T^{5} + 178693 T^{6} + 431702 T^{7} + 4544089 T^{8} + 12436547 T^{9} + 92642974 T^{10} + 250897028 T^{11} + 1574930558 T^{12} + 3594162083 T^{13} + 22325109257 T^{14} + 36056182742 T^{15} + 253718506901 T^{16} + 242703256295 T^{17} + 2152226339885 T^{18} + 997533314063 T^{19} + 12095963402694 T^{20} + 2015993900449 T^{21} + 34271896307633 T^{22} \))(\( 1 + T + 75 T^{2} + 35 T^{3} + 2817 T^{4} + 727 T^{5} + 67013 T^{6} + 12739 T^{7} + 1167237 T^{8} + 397375 T^{9} + 17822538 T^{10} + 8326548 T^{11} + 302983146 T^{12} + 114841375 T^{13} + 5734635381 T^{14} + 1063974019 T^{15} + 95148877141 T^{16} + 17548012663 T^{17} + 1155924041841 T^{18} + 244151510435 T^{19} + 8894090737275 T^{20} + 2015993900449 T^{21} + 34271896307633 T^{22} \))(\( 1 + 15 T + 212 T^{2} + 1913 T^{3} + 16768 T^{4} + 116844 T^{5} + 805779 T^{6} + 4749747 T^{7} + 27815016 T^{8} + 143573450 T^{9} + 737347421 T^{10} + 3391683440 T^{11} + 15540643859 T^{12} + 64199792990 T^{13} + 264190945603 T^{14} + 980196514160 T^{15} + 3622587879373 T^{16} + 11991398117450 T^{17} + 39493345172712 T^{18} + 114647345945043 T^{19} + 330642285591267 T^{20} + 815075402436204 T^{21} + 1988481513101696 T^{22} + 3856596331558937 T^{23} + 7265642017218196 T^{24} + 8739333558446415 T^{25} + 9904578032905937 T^{26} \))(\( 1 - 7 T + 124 T^{2} - 849 T^{3} + 8090 T^{4} - 50438 T^{5} + 357503 T^{6} - 1978905 T^{7} + 11730948 T^{8} - 57899220 T^{9} + 300478453 T^{10} - 1340091994 T^{11} + 6212187057 T^{12} - 25188887510 T^{13} + 105607179969 T^{14} - 387286586266 T^{15} + 1476250639589 T^{16} - 4835800753620 T^{17} + 16656268634436 T^{18} - 47765955981945 T^{19} + 146697306613519 T^{20} - 351843253809158 T^{21} + 959375920860730 T^{22} - 1711578821481201 T^{23} + 4249715142146492 T^{24} - 4078355660608327 T^{25} + 9904578032905937 T^{26} \))(\( 1 + 16 T + 227 T^{2} + 2126 T^{3} + 18534 T^{4} + 131687 T^{5} + 899396 T^{6} + 5398113 T^{7} + 31583403 T^{8} + 167702356 T^{9} + 871471223 T^{10} + 4173295606 T^{11} + 19586162926 T^{12} + 85362383584 T^{13} + 364809770436 T^{14} + 1451160520928 T^{15} + 5660401085614 T^{16} + 20503401312278 T^{17} + 72786148016183 T^{18} + 238113364083092 T^{19} + 762346569167307 T^{20} + 2215054525124049 T^{21} + 6273968339405636 T^{22} + 15616481692260439 T^{23} + 37364430950921766 T^{24} + 72862051550027758 T^{25} + 132255247851155747 T^{26} + 158473248526494992 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 13 T + 184 T^{2} - 1608 T^{3} + 13867 T^{4} - 94527 T^{5} + 628580 T^{6} - 3616998 T^{7} + 20399840 T^{8} - 104304168 T^{9} + 525692387 T^{10} - 2460512793 T^{11} + 11357577616 T^{12} - 49129168309 T^{13} + 209070561674 T^{14} - 835195861253 T^{15} + 3282339931024 T^{16} - 12088499352009 T^{17} + 43906353854627 T^{18} - 148097003063976 T^{19} + 492402545588960 T^{20} - 1484194159563654 T^{21} + 4384821612263780 T^{22} - 11209756201631919 T^{23} + 27955787417526283 T^{24} - 55109209262673864 T^{25} + 107202491650276024 T^{26} - 128759514427777181 T^{27} + 168377826559400929 T^{28} \))(\( 1 + 3 T + 68 T^{2} + 179 T^{3} + 2585 T^{4} + 4527 T^{5} + 75657 T^{6} + 104470 T^{7} + 2005330 T^{8} + 2697408 T^{9} + 48882054 T^{10} + 60852199 T^{11} + 1017440801 T^{12} + 1092764462 T^{13} + 18701799664 T^{14} + 17690488608 T^{15} + 317930594288 T^{16} + 315808929518 T^{17} + 4998686655313 T^{18} + 5082436512679 T^{19} + 69405526546278 T^{20} + 65108871721152 T^{21} + 822864451127090 T^{22} + 728757379861270 T^{23} + 8972002972133529 T^{24} + 9126404387332623 T^{25} + 88592851955231305 T^{26} + 104289380464127219 T^{27} + 673511306237603716 T^{28} + 505133479678202787 T^{29} + 2862423051509815793 T^{30} \))(\( 1 - 14 T + 259 T^{2} - 2791 T^{3} + 30687 T^{4} - 268275 T^{5} + 2243235 T^{6} - 16506765 T^{7} + 114459524 T^{8} - 727693851 T^{9} + 4356351241 T^{10} - 24369203998 T^{11} + 128673961691 T^{12} - 641010154290 T^{13} + 3020956448761 T^{14} - 13496604804480 T^{15} + 57112259487410 T^{16} - 229442281676160 T^{17} + 873056413691929 T^{18} - 3149282888026770 T^{19} + 10746977954394011 T^{20} - 34600784880988286 T^{21} + 105151728667873129 T^{22} - 298600929169599723 T^{23} + 798441876236318084 T^{24} - 1957502209185002205 T^{25} + 4522348077273712515 T^{26} - 9194292981930243075 T^{27} + 17878928593869675807 T^{28} - 27643677289840470167 T^{29} + 43609857078884840611 T^{30} - 40073922721137421102 T^{31} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 8 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 2 T + 36 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 18 T + 209 T^{2} + 1693 T^{3} + 11097 T^{4} + 60740 T^{5} + 297858 T^{6} + 1337398 T^{7} + 5659302 T^{8} + 21927140 T^{9} + 76114323 T^{10} + 220633453 T^{11} + 517504691 T^{12} + 846825858 T^{13} + 893871739 T^{14} \))(\( 1 + 22 T + 319 T^{2} + 3243 T^{3} + 26477 T^{4} + 175106 T^{5} + 980054 T^{6} + 4614190 T^{7} + 18621026 T^{8} + 63213266 T^{9} + 181605743 T^{10} + 422631003 T^{11} + 789875581 T^{12} + 1035009382 T^{13} + 893871739 T^{14} \))(\( 1 - 6 T + 108 T^{2} - 607 T^{3} + 5598 T^{4} - 28877 T^{5} + 182793 T^{6} - 834666 T^{7} + 4124852 T^{8} - 15858654 T^{9} + 65988273 T^{10} - 198067343 T^{11} + 729536958 T^{12} - 1502992093 T^{13} + 5080955148 T^{14} - 5363230434 T^{15} + 16983563041 T^{16} \))(\( 1 + 9 T + 99 T^{2} + 504 T^{3} + 3487 T^{4} + 14403 T^{5} + 93866 T^{6} + 378799 T^{7} + 2142287 T^{8} + 7197181 T^{9} + 33885626 T^{10} + 98790177 T^{11} + 454429327 T^{12} + 1247953896 T^{13} + 4657542219 T^{14} + 8044845651 T^{15} + 16983563041 T^{16} \))(\( 1 + 18 T + 235 T^{2} + 2167 T^{3} + 17094 T^{4} + 113696 T^{5} + 688689 T^{6} + 3723419 T^{7} + 18665777 T^{8} + 84484504 T^{9} + 354649763 T^{10} + 1344154259 T^{11} + 4723717851 T^{12} + 14816976416 T^{13} + 42326436306 T^{14} + 101948424127 T^{15} + 210059858665 T^{16} + 305704134738 T^{17} + 322687697779 T^{18} \))(\( 1 + 83 T^{2} + 181 T^{3} + 3354 T^{4} + 12624 T^{5} + 102603 T^{6} + 422007 T^{7} + 2524841 T^{8} + 9445440 T^{9} + 47971979 T^{10} + 152344527 T^{11} + 703753977 T^{12} + 1645172304 T^{13} + 8304836046 T^{14} + 8515304461 T^{15} + 74191354337 T^{16} + 322687697779 T^{18} \))(\( 1 - 15 T + 237 T^{2} - 2240 T^{3} + 20858 T^{4} - 146984 T^{5} + 1014959 T^{6} - 5755643 T^{7} + 32136252 T^{8} - 152692922 T^{9} + 717658454 T^{10} - 2901165518 T^{11} + 11601186972 T^{12} - 39477955337 T^{13} + 132270471839 T^{14} - 363946935416 T^{15} + 981282985898 T^{16} - 2002272695360 T^{17} + 4025104440717 T^{18} - 4840315466685 T^{19} + 6131066257801 T^{20} \))(\( 1 + 18 T + 265 T^{2} + 2813 T^{3} + 25511 T^{4} + 197650 T^{5} + 1362326 T^{6} + 8444006 T^{7} + 47860593 T^{8} + 249616628 T^{9} + 1210328870 T^{10} + 5456181722 T^{11} + 22996248530 T^{12} + 90111602708 T^{13} + 328275807387 T^{14} + 1100431305926 T^{15} + 3373254046274 T^{16} + 9298618379650 T^{17} + 22803561933629 T^{18} + 47774762834333 T^{19} + 85512239911435 T^{20} + 110359192640418 T^{21} + 116490258898219 T^{22} \))(\( 1 + 3 T + 148 T^{2} + 363 T^{3} + 10331 T^{4} + 20144 T^{5} + 454503 T^{6} + 691361 T^{7} + 14258633 T^{8} + 17178263 T^{9} + 342041488 T^{10} + 350189744 T^{11} + 6498788272 T^{12} + 6201352943 T^{13} + 97799963747 T^{14} + 90098856881 T^{15} + 1125394423797 T^{16} + 947692226864 T^{17} + 9234588935609 T^{18} + 6165033383883 T^{19} + 47757779271292 T^{20} + 18393198773403 T^{21} + 116490258898219 T^{22} \))(\( 1 - 5 T + 82 T^{2} - 269 T^{3} + 2815 T^{4} - 4424 T^{5} + 59295 T^{6} - 21445 T^{7} + 1294073 T^{8} - 942453 T^{9} + 33005628 T^{10} - 35655896 T^{11} + 627106932 T^{12} - 340225533 T^{13} + 8876046707 T^{14} - 2794733845 T^{15} + 146820290205 T^{16} - 208130977544 T^{17} + 2516248945285 T^{18} - 4568578458029 T^{19} + 26460391217878 T^{20} - 30655331289005 T^{21} + 116490258898219 T^{22} \))(\( 1 - 7 T + 138 T^{2} - 893 T^{3} + 9530 T^{4} - 56469 T^{5} + 439837 T^{6} - 2384576 T^{7} + 15327366 T^{8} - 75987749 T^{9} + 428313193 T^{10} - 1937702309 T^{11} + 9836906173 T^{12} - 40527080690 T^{13} + 186901217287 T^{14} - 699510533549 T^{15} + 2937800190787 T^{16} - 9902799437429 T^{17} + 37952075625234 T^{18} - 112184478731456 T^{19} + 393157864066543 T^{20} - 959044821362229 T^{21} + 3075213759833870 T^{22} - 5475042168216293 T^{23} + 16075655727954222 T^{24} - 15493204433463127 T^{25} + 42052983462257059 T^{26} \))(\( 1 + 93 T^{2} + 43 T^{3} + 5234 T^{4} + 3112 T^{5} + 213895 T^{6} + 147607 T^{7} + 6916074 T^{8} + 4911168 T^{9} + 184160120 T^{10} + 129386082 T^{11} + 4122212079 T^{12} + 2721199928 T^{13} + 78322029501 T^{14} + 46708375602 T^{15} + 1263154263080 T^{16} + 640028324928 T^{17} + 17124883915326 T^{18} + 6944301356767 T^{19} + 191194695613405 T^{20} + 52852848183592 T^{21} + 1688947410175286 T^{22} + 263635849085443 T^{23} + 10833594077534367 T^{24} + 42052983462257059 T^{26} \))(\( 1 - 7 T + 131 T^{2} - 818 T^{3} + 8824 T^{4} - 48122 T^{5} + 397933 T^{6} - 1933931 T^{7} + 13548167 T^{8} - 59864443 T^{9} + 373634435 T^{10} - 1521958674 T^{11} + 8715541970 T^{12} - 33079304079 T^{13} + 176722734890 T^{14} - 628506777501 T^{15} + 3146310651170 T^{16} - 10439114544966 T^{17} + 48692413203635 T^{18} - 148230287447857 T^{19} + 637385452450127 T^{20} - 1728686266076009 T^{21} + 6758320191594253 T^{22} - 15528377392521038 T^{23} + 54100528658836024 T^{24} - 95289031778743142 T^{25} + 289944254397667091 T^{26} - 294370884235799413 T^{27} + 799006685782884121 T^{28} \))(\( 1 - 21 T + 325 T^{2} - 3638 T^{3} + 35142 T^{4} - 290606 T^{5} + 2188033 T^{6} - 14895923 T^{7} + 94571055 T^{8} - 556456671 T^{9} + 3093336243 T^{10} - 16145096554 T^{11} + 80181403838 T^{12} - 376286705461 T^{13} + 1685625686902 T^{14} - 7149447403759 T^{15} + 28945486785518 T^{16} - 110739217263886 T^{17} + 403126672524003 T^{18} - 1377841806606429 T^{19} + 4449178599574455 T^{20} - 13315044596020097 T^{21} + 37160596391288353 T^{22} - 93774981100764074 T^{23} + 215457930431642742 T^{24} - 423791561871720722 T^{25} + 719327348696502325 T^{26} - 883112652707398239 T^{27} + 799006685782884121 T^{28} \))(\( 1 - 12 T + 223 T^{2} - 2119 T^{3} + 23431 T^{4} - 185290 T^{5} + 1562096 T^{6} - 10638814 T^{7} + 74639536 T^{8} - 447712750 T^{9} + 2723801411 T^{10} - 14590859029 T^{11} + 78680760475 T^{12} - 379383551980 T^{13} + 1835059050973 T^{14} - 7990440582092 T^{15} + 34866121968487 T^{16} - 136957462264780 T^{17} + 539671336098025 T^{18} - 1901495339518309 T^{19} + 6744401949975689 T^{20} - 21063040758682750 T^{21} + 66718171842473104 T^{22} - 180684968250473374 T^{23} + 504069161949784784 T^{24} - 1136025266907947290 T^{25} + 2729483256244169389 T^{26} - 4690014313501195159 T^{27} + 9377815312083324157 T^{28} - 9588080229394609452 T^{29} + 15181127029874798299 T^{30} \))(\( 1 - 29 T + 575 T^{2} - 8430 T^{3} + 102911 T^{4} - 1075269 T^{5} + 9961258 T^{6} - 82968965 T^{7} + 631150275 T^{8} - 4420064953 T^{9} + 28736196438 T^{10} - 174257438687 T^{11} + 990352201445 T^{12} - 5289345551444 T^{13} + 26618852552313 T^{14} - 126385446166761 T^{15} + 566822044727120 T^{16} - 2401323477168459 T^{17} + 9609405771384993 T^{18} - 36279621137354396 T^{19} + 129063689244513845 T^{20} - 431478669675442013 T^{21} + 1351919678014771878 T^{22} - 3950971146031063267 T^{23} + 10719180483806986275 T^{24} - 26773064302956428735 T^{25} + 61073132809050273658 T^{26} - \)\(12\!\cdots\!11\)\( T^{27} + \)\(22\!\cdots\!71\)\( T^{28} - \)\(35\!\cdots\!70\)\( T^{29} + \)\(45\!\cdots\!75\)\( T^{30} - \)\(44\!\cdots\!71\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 5 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 4 T + 38 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 + 3 T + 132 T^{2} + 313 T^{3} + 7895 T^{4} + 15123 T^{5} + 281122 T^{6} + 437435 T^{7} + 6465806 T^{8} + 8000067 T^{9} + 96058465 T^{10} + 87590233 T^{11} + 849597276 T^{12} + 444107667 T^{13} + 3404825447 T^{14} \))(\( 1 + 12 T + 132 T^{2} + 984 T^{3} + 7067 T^{4} + 42035 T^{5} + 242977 T^{6} + 1185930 T^{7} + 5588471 T^{8} + 22236515 T^{9} + 85984189 T^{10} + 275363544 T^{11} + 849597276 T^{12} + 1776430668 T^{13} + 3404825447 T^{14} \))(\( 1 - 16 T + 223 T^{2} - 2170 T^{3} + 18935 T^{4} - 135485 T^{5} + 882506 T^{6} - 4947129 T^{7} + 25441450 T^{8} - 113783967 T^{9} + 466845674 T^{10} - 1648445995 T^{11} + 5298789335 T^{12} - 13966864310 T^{13} + 33012003247 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} \))(\( 1 + 8 T + 75 T^{2} + 394 T^{3} + 1827 T^{4} + 3169 T^{5} - 7536 T^{6} - 204237 T^{7} - 1022978 T^{8} - 4697451 T^{9} - 3986544 T^{10} + 38557223 T^{11} + 511269507 T^{12} + 2535919142 T^{13} + 11102691675 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} \))(\( 1 - T + 82 T^{2} - 145 T^{3} + 3176 T^{4} - 4658 T^{5} + 86494 T^{6} - 20038 T^{7} + 1976151 T^{8} + 1026404 T^{9} + 45451473 T^{10} - 10600102 T^{11} + 1052372498 T^{12} - 1303499378 T^{13} + 20441825368 T^{14} - 21465203905 T^{15} + 279195686654 T^{16} - 78310985281 T^{17} + 1801152661463 T^{18} \))(\( 1 + 19 T + 290 T^{2} + 3073 T^{3} + 28764 T^{4} + 222626 T^{5} + 1568346 T^{6} + 9606098 T^{7} + 54157935 T^{8} + 270211480 T^{9} + 1245632505 T^{10} + 5081625842 T^{11} + 19082065782 T^{12} + 62299882466 T^{13} + 185134970052 T^{14} + 454914286897 T^{15} + 987399379630 T^{16} + 1487908720339 T^{17} + 1801152661463 T^{18} \))(\( 1 - 12 T + 193 T^{2} - 1430 T^{3} + 13488 T^{4} - 72559 T^{5} + 539083 T^{6} - 2374815 T^{7} + 16112459 T^{8} - 63491122 T^{9} + 403892128 T^{10} - 1460295806 T^{11} + 8523490811 T^{12} - 28894374105 T^{13} + 150857525803 T^{14} - 467014611737 T^{15} + 1996708070832 T^{16} - 4868900389210 T^{17} + 15114020159233 T^{18} - 21613831937556 T^{19} + 41426511213649 T^{20} \))(\( 1 + T + 100 T^{2} + 165 T^{3} + 5487 T^{4} + 10087 T^{5} + 211264 T^{6} + 382437 T^{7} + 6368749 T^{8} + 11033412 T^{9} + 162265681 T^{10} + 271412708 T^{11} + 3732110663 T^{12} + 5836674948 T^{13} + 77488569083 T^{14} + 107021552517 T^{15} + 1359767567552 T^{16} + 1493238012343 T^{17} + 18682277227689 T^{18} + 12921312571365 T^{19} + 180115266146300 T^{20} + 41426511213649 T^{21} + 952809757913927 T^{22} \))(\( 1 + 5 T + 192 T^{2} + 749 T^{3} + 16807 T^{4} + 51793 T^{5} + 912336 T^{6} + 2254561 T^{7} + 35082979 T^{8} + 71602678 T^{9} + 1026243555 T^{10} + 1813889212 T^{11} + 23603601765 T^{12} + 37877816662 T^{13} + 426854605493 T^{14} + 630918604801 T^{15} + 5872107427248 T^{16} + 7667222798977 T^{17} + 57224901287729 T^{18} + 58654927975469 T^{19} + 345821311000896 T^{20} + 207132556068245 T^{21} + 952809757913927 T^{22} \))(\( 1 - 8 T + 192 T^{2} - 1416 T^{3} + 18337 T^{4} - 119731 T^{5} + 1114451 T^{6} - 6379536 T^{7} + 47278468 T^{8} - 236367941 T^{9} + 1463292611 T^{10} - 6347607152 T^{11} + 33655730053 T^{12} - 125038640789 T^{13} + 575237120156 T^{14} - 1785255733776 T^{15} + 7172988892693 T^{16} - 17724485025859 T^{17} + 62434284221639 T^{18} - 110888355157896 T^{19} + 345821311000896 T^{20} - 331412089709192 T^{21} + 952809757913927 T^{22} \))(\( 1 + 5 T + 146 T^{2} + 623 T^{3} + 11088 T^{4} + 42054 T^{5} + 587720 T^{6} + 2032220 T^{7} + 24065356 T^{8} + 76439897 T^{9} + 797067331 T^{10} + 2330556213 T^{11} + 21887033944 T^{12} + 58789264504 T^{13} + 503401780712 T^{14} + 1232864236677 T^{15} + 9697918216277 T^{16} + 21391017216377 T^{17} + 154892885633108 T^{18} + 300841494343580 T^{19} + 2001084011710840 T^{20} + 3293290175007174 T^{21} + 19971180710301744 T^{22} + 25808716486103327 T^{23} + 139110224655433342 T^{24} + 109573122160101605 T^{25} + 504036361936467383 T^{26} \))(\( 1 - 11 T + 162 T^{2} - 1169 T^{3} + 10268 T^{4} - 53900 T^{5} + 360084 T^{6} - 1339868 T^{7} + 7421526 T^{8} - 12896743 T^{9} + 68809057 T^{10} + 297283725 T^{11} - 529762420 T^{12} + 13093569020 T^{13} - 12184535660 T^{14} + 157263090525 T^{15} + 837199796519 T^{16} - 3609037457863 T^{17} + 47767486919418 T^{18} - 198348550522652 T^{19} + 1226023166257548 T^{20} - 4220962106645900 T^{21} + 18494235527902084 T^{22} - 48427591608755681 T^{23} + 154355180782056174 T^{24} - 241060868752223531 T^{25} + 504036361936467383 T^{26} \))(\( 1 + 8 T + 157 T^{2} + 754 T^{3} + 10500 T^{4} + 34119 T^{5} + 480883 T^{6} + 1009453 T^{7} + 16995638 T^{8} + 17156438 T^{9} + 495197023 T^{10} + 66374324 T^{11} + 12782605365 T^{12} - 4990010058 T^{13} + 302689022626 T^{14} - 114770231334 T^{15} + 6761998238085 T^{16} + 807576400108 T^{17} + 138576430113343 T^{18} + 110424719626234 T^{19} + 2515964380452182 T^{20} + 3437011261950491 T^{21} + 37658421534883123 T^{22} + 61453527656456097 T^{23} + 434978367743314500 T^{24} + 718418557467100958 T^{25} + 3440596035827190397 T^{26} + 4032290895491739064 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 12 T + 197 T^{2} - 1504 T^{3} + 14548 T^{4} - 80289 T^{5} + 610807 T^{6} - 2661861 T^{7} + 19030190 T^{8} - 70975546 T^{9} + 518865207 T^{10} - 1686026166 T^{11} + 12636741741 T^{12} - 36441674716 T^{13} + 289306171546 T^{14} - 838158518468 T^{15} + 6684836380989 T^{16} - 20513880361722 T^{17} + 145199758392087 T^{18} - 456822958668278 T^{19} + 2817151094488910 T^{20} - 9063172069176867 T^{21} + 47832897986531767 T^{22} - 144612746036202807 T^{23} + 602672885136165652 T^{24} - 1433025875902546208 T^{25} + 4317181013108003237 T^{26} - 6048436343237608596 T^{27} + 11592836324538749809 T^{28} \))(\( 1 + T + 212 T^{2} + 155 T^{3} + 22401 T^{4} + 10163 T^{5} + 1564218 T^{6} + 307853 T^{7} + 80818770 T^{8} - 1436959 T^{9} + 3280208885 T^{10} - 566979943 T^{11} + 108330387848 T^{12} - 27835985461 T^{13} + 2971355707993 T^{14} - 796105288706 T^{15} + 68341181283839 T^{16} - 14725236308869 T^{17} + 1318055828946616 T^{18} - 158664234229063 T^{19} + 21112549495507555 T^{20} - 212721503021551 T^{21} + 275173804691240190 T^{22} + 24108271751711693 T^{23} + 2817395413808330934 T^{24} + 421017633464314787 T^{25} + 21343891387029878727 T^{26} + 3396766786963149755 T^{27} + \)\(10\!\cdots\!96\)\( T^{28} + 11592836324538749809 T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 - 9 T + 247 T^{2} - 2086 T^{3} + 30023 T^{4} - 235102 T^{5} + 2377449 T^{6} - 17134308 T^{7} + 137393404 T^{8} - 907372058 T^{9} + 6163502867 T^{10} - 37238491466 T^{11} + 223004994897 T^{12} - 1233421974890 T^{13} + 6668687864685 T^{14} - 33826702124511 T^{15} + 167147000685718 T^{16} - 778014148863753 T^{17} + 3527735880418365 T^{18} - 15007045168486630 T^{19} + 62405940776971377 T^{20} - 239679703877748838 T^{21} + 912419626270393763 T^{22} - 3089443472975159926 T^{23} + 10759412838350486524 T^{24} - 30861504456526772604 T^{25} + 98489417658378601401 T^{26} - \)\(22\!\cdots\!54\)\( T^{27} + \)\(65\!\cdots\!83\)\( T^{28} - \)\(10\!\cdots\!38\)\( T^{29} + \)\(28\!\cdots\!23\)\( T^{30} - \)\(23\!\cdots\!63\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 - 4 T + 50 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 11 T + 84 T^{2} - 319 T^{3} + 841 T^{4} \))(\( 1 + 5 T + 111 T^{2} + 483 T^{3} + 6566 T^{4} + 26547 T^{5} + 260589 T^{6} + 920121 T^{7} + 7557081 T^{8} + 22326027 T^{9} + 160138174 T^{10} + 341616723 T^{11} + 2276737539 T^{12} + 2974116605 T^{13} + 17249876309 T^{14} \))(\( 1 + 14 T + 263 T^{2} + 2469 T^{3} + 26083 T^{4} + 180172 T^{5} + 1334416 T^{6} + 6980104 T^{7} + 38698064 T^{8} + 151524652 T^{9} + 636138287 T^{10} + 1746276789 T^{11} + 5394432187 T^{12} + 8327526494 T^{13} + 17249876309 T^{14} \))(\( 1 - 16 T + 242 T^{2} - 2309 T^{3} + 22010 T^{4} - 162561 T^{5} + 1189971 T^{6} - 7095726 T^{7} + 41918668 T^{8} - 205776054 T^{9} + 1000765611 T^{10} - 3964700229 T^{11} + 15567254810 T^{12} - 47360243041 T^{13} + 143947243682 T^{14} - 275998020944 T^{15} + 500246412961 T^{16} \))(\( 1 - T + 105 T^{2} - 224 T^{3} + 5591 T^{4} - 16245 T^{5} + 231188 T^{6} - 645011 T^{7} + 7713479 T^{8} - 18705319 T^{9} + 194429108 T^{10} - 396199305 T^{11} + 3954408071 T^{12} - 4594497376 T^{13} + 62456448705 T^{14} - 17249876309 T^{15} + 500246412961 T^{16} \))(\( 1 + 11 T + 183 T^{2} + 1549 T^{3} + 15305 T^{4} + 108608 T^{5} + 807568 T^{6} + 4981642 T^{7} + 30691519 T^{8} + 166669196 T^{9} + 890054051 T^{10} + 4189560922 T^{11} + 19695775952 T^{12} + 76816374848 T^{13} + 313923135445 T^{14} + 921381324229 T^{15} + 3156727364547 T^{16} + 5502710542571 T^{17} + 14507145975869 T^{18} \))(\( 1 + 21 T + 319 T^{2} + 3489 T^{3} + 33151 T^{4} + 268738 T^{5} + 1993624 T^{6} + 13208684 T^{7} + 81252241 T^{8} + 452997412 T^{9} + 2356314989 T^{10} + 11108503244 T^{11} + 48622495736 T^{12} + 190073281378 T^{13} + 679965100499 T^{14} + 2075338566969 T^{15} + 5502710542571 T^{16} + 10505174672181 T^{17} + 14507145975869 T^{18} \))(\( 1 - 7 T + 225 T^{2} - 1396 T^{3} + 24058 T^{4} - 132978 T^{5} + 1612655 T^{6} - 7906645 T^{7} + 75101692 T^{8} - 322594882 T^{9} + 2539671030 T^{10} - 9355251578 T^{11} + 63160522972 T^{12} - 192835164905 T^{13} + 1140600241055 T^{14} - 2727531571722 T^{15} + 14310259456618 T^{16} - 24080827327364 T^{17} + 112555442916225 T^{18} - 101550021831083 T^{19} + 420707233300201 T^{20} \))(\( 1 - 9 T + 169 T^{2} - 1467 T^{3} + 15876 T^{4} - 120237 T^{5} + 1013283 T^{6} - 6739049 T^{7} + 47744074 T^{8} - 282428156 T^{9} + 1752093241 T^{10} - 9205244012 T^{11} + 50810703989 T^{12} - 237522079196 T^{13} + 1164430220786 T^{14} - 4766401315769 T^{15} + 20783598592167 T^{16} - 71519771647077 T^{17} + 273859036281684 T^{18} - 733861487813787 T^{19} + 2451707669921861 T^{20} - 3786365099701809 T^{21} + 12200509765705829 T^{22} \))(\( 1 + 12 T + 207 T^{2} + 2288 T^{3} + 23657 T^{4} + 213410 T^{5} + 1772817 T^{6} + 13151718 T^{7} + 92712654 T^{8} + 590067883 T^{9} + 3555039686 T^{10} + 19770711944 T^{11} + 103096150894 T^{12} + 496247089603 T^{13} + 2261168918406 T^{14} + 9301960258758 T^{15} + 36362513636733 T^{16} + 126941244934610 T^{17} + 408080323842013 T^{18} + 1144563792854768 T^{19} + 3002979217004883 T^{20} + 5048486799602412 T^{21} + 12200509765705829 T^{22} \))(\( 1 + 5 T + 212 T^{2} + 1055 T^{3} + 21245 T^{4} + 103450 T^{5} + 1347593 T^{6} + 6334951 T^{7} + 61570425 T^{8} + 275059811 T^{9} + 2193131044 T^{10} + 9056923768 T^{11} + 63600800276 T^{12} + 231325301051 T^{13} + 1501641095325 T^{14} + 4480590478231 T^{15} + 27640680814357 T^{16} + 61534472557450 T^{17} + 366473622184705 T^{18} + 527759965673855 T^{19} + 3075514946884228 T^{20} + 2103536166501005 T^{21} + 12200509765705829 T^{22} \))(\( 1 + 10 T + 253 T^{2} + 2112 T^{3} + 30822 T^{4} + 224060 T^{5} + 2440232 T^{6} + 15802206 T^{7} + 141354947 T^{8} + 824986159 T^{9} + 6350837171 T^{10} + 33531288898 T^{11} + 227857906134 T^{12} + 1085815464954 T^{13} + 6607879277886 T^{14} + 28199813963218 T^{15} + 154890567763519 T^{16} + 583497035523679 T^{17} + 2899352379804103 T^{18} + 9399520652046126 T^{19} + 42093700165263688 T^{20} + 112085211288041660 T^{21} + 447139253268234318 T^{22} + 888533676730024512 T^{23} + 3086728970723574737 T^{24} + 3538147832054690410 T^{25} + 10260628712958602189 T^{26} \))(\( 1 - 5 T + 153 T^{2} - 671 T^{3} + 13033 T^{4} - 52162 T^{5} + 792784 T^{6} - 3003946 T^{7} + 38420732 T^{8} - 138076201 T^{9} + 1539894462 T^{10} - 5230945379 T^{11} + 52237116343 T^{12} - 165304546712 T^{13} + 1514876373947 T^{14} - 4399225063739 T^{15} + 37556486033718 T^{16} - 97658673519481 T^{17} + 788053358741068 T^{18} - 1786817135824666 T^{19} + 13675425939754256 T^{20} - 26093853392871682 T^{21} + 189071633503500677 T^{22} - 282294553544434871 T^{23} + 1866677994152991837 T^{24} - 1769073916027345205 T^{25} + 10260628712958602189 T^{26} \))(\( 1 + 21 T + 361 T^{2} + 4826 T^{3} + 55556 T^{4} + 565152 T^{5} + 5206087 T^{6} + 43974405 T^{7} + 344384743 T^{8} + 2520135591 T^{9} + 17324810851 T^{10} + 112335145034 T^{11} + 689629125512 T^{12} + 4012828169415 T^{13} + 22176475654666 T^{14} + 116372016913035 T^{15} + 579978094555592 T^{16} + 2739741852234226 T^{17} + 12253509543506131 T^{18} + 51690876607204059 T^{19} + 204848076532991503 T^{20} + 758553047011871145 T^{21} + 2604326347312893607 T^{22} + 8198742562554317088 T^{23} + 23372811053225966756 T^{24} + 58879660129296330754 T^{25} + \)\(12\!\cdots\!01\)\( T^{26} + \)\(21\!\cdots\!69\)\( T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 9 T + 259 T^{2} - 1796 T^{3} + 30842 T^{4} - 173078 T^{5} + 2315937 T^{6} - 10740285 T^{7} + 125589587 T^{8} - 488505967 T^{9} + 5349186367 T^{10} - 17841537784 T^{11} + 190103836146 T^{12} - 565639340997 T^{13} + 5870646546106 T^{14} - 16403540888913 T^{15} + 159877326198786 T^{16} - 435137265013976 T^{17} + 3783377882838127 T^{18} - 10019818676526083 T^{19} + 74703615222358427 T^{20} - 185268587773408065 T^{21} + 1158539176893659457 T^{22} - 2510867811211454782 T^{23} + 12975452489444799242 T^{24} - 21912115539207668884 T^{25} + 91638028850216481619 T^{26} - 92345658416627419701 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 + 3 T + 219 T^{2} + 593 T^{3} + 24332 T^{4} + 60993 T^{5} + 1817151 T^{6} + 4297847 T^{7} + 102395349 T^{8} + 231889781 T^{9} + 4645706138 T^{10} + 10143991315 T^{11} + 177153365171 T^{12} + 371916109775 T^{13} + 5845413593987 T^{14} + 11638628584026 T^{15} + 169516994225623 T^{16} + 312781448320775 T^{17} + 4320593423155519 T^{18} + 7174652321264515 T^{19} + 95288770806732562 T^{20} + 137933449640382701 T^{21} + 1766307104866886841 T^{22} + 2149982545205194967 T^{23} + 26361674817196329219 T^{24} + 25660196280679159593 T^{25} + \)\(29\!\cdots\!28\)\( T^{26} + \)\(20\!\cdots\!13\)\( T^{27} + \)\(22\!\cdots\!91\)\( T^{28} + \)\(89\!\cdots\!43\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 + 182 T^{2} - 6 T^{3} + 16938 T^{4} - 1670 T^{5} + 1089928 T^{6} - 163412 T^{7} + 55020136 T^{8} - 12206977 T^{9} + 2332317914 T^{10} - 794743397 T^{11} + 86530338882 T^{12} - 40695603055 T^{13} + 2884579845352 T^{14} - 1567875265635 T^{15} + 87537882410966 T^{16} - 45468382703415 T^{17} + 2425931649941032 T^{18} - 992525062908395 T^{19} + 61201264614799842 T^{20} - 16301100232633153 T^{21} + 1387317087233272394 T^{22} - 210568843356807893 T^{23} + 27523625674626382696 T^{24} - 2370641738208705028 T^{25} + \)\(45\!\cdots\!28\)\( T^{26} - 20374851308728734430 T^{27} + \)\(59\!\cdots\!58\)\( T^{28} - 61563772277751613134 T^{29} + \)\(54\!\cdots\!42\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 10 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 - 2 T + 46 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 22 T + 318 T^{2} + 3466 T^{3} + 31803 T^{4} + 246119 T^{5} + 1668479 T^{6} + 9867360 T^{7} + 51722849 T^{8} + 236520359 T^{9} + 947443173 T^{10} + 3200923786 T^{11} + 9104070018 T^{12} + 19525080982 T^{13} + 27512614111 T^{14} \))(\( 1 + 4 T + 124 T^{2} + 420 T^{3} + 7499 T^{4} + 19867 T^{5} + 296651 T^{6} + 674218 T^{7} + 9196181 T^{8} + 19092187 T^{9} + 223402709 T^{10} + 387878820 T^{11} + 3550014724 T^{12} + 3550014724 T^{13} + 27512614111 T^{14} \))(\( 1 - 9 T + 188 T^{2} - 1222 T^{3} + 14436 T^{4} - 73106 T^{5} + 655805 T^{6} - 2803907 T^{7} + 22246811 T^{8} - 86921117 T^{9} + 630228605 T^{10} - 2177900846 T^{11} + 13331949156 T^{12} - 34984822522 T^{13} + 166850692028 T^{14} - 247613526999 T^{15} + 852891037441 T^{16} \))(\( 1 + 17 T + 300 T^{2} + 3116 T^{3} + 31874 T^{4} + 241632 T^{5} + 1822161 T^{6} + 11043795 T^{7} + 67740979 T^{8} + 342357645 T^{9} + 1751096721 T^{10} + 7198458912 T^{11} + 29436308354 T^{12} + 89208434516 T^{13} + 266251104300 T^{14} + 467714439887 T^{15} + 852891037441 T^{16} \))(\( 1 + 22 T + 308 T^{2} + 2896 T^{3} + 22002 T^{4} + 139379 T^{5} + 876591 T^{6} + 5515338 T^{7} + 35683556 T^{8} + 207367482 T^{9} + 1106190236 T^{10} + 5300239818 T^{11} + 26114522481 T^{12} + 128719433459 T^{13} + 629898580302 T^{14} + 2570210660176 T^{15} + 8473885146188 T^{16} + 18763602823702 T^{17} + 26439622160671 T^{18} \))(\( 1 - 6 T + 82 T^{2} - 452 T^{3} + 4210 T^{4} - 23321 T^{5} + 156959 T^{6} - 732010 T^{7} + 5340066 T^{8} - 24098822 T^{9} + 165542046 T^{10} - 703461610 T^{11} + 4675965569 T^{12} - 21537433241 T^{13} + 120528725710 T^{14} - 401151663812 T^{15} + 2256034357102 T^{16} - 5117346224646 T^{17} + 26439622160671 T^{18} \))(\( 1 - 28 T + 604 T^{2} - 9062 T^{3} + 115686 T^{4} - 1216433 T^{5} + 11326191 T^{6} - 91648270 T^{7} + 669065887 T^{8} - 4336050606 T^{9} + 25547969297 T^{10} - 134417568786 T^{11} + 642972317407 T^{12} - 2730293611570 T^{13} + 10459975238511 T^{14} - 34825444038383 T^{15} + 102671750840166 T^{16} - 249319309073882 T^{17} + 515146186614364 T^{18} - 740309420498788 T^{19} + 819628286980801 T^{20} \))(\( 1 + 15 T + 289 T^{2} + 3053 T^{3} + 34889 T^{4} + 287709 T^{5} + 2485854 T^{6} + 17059654 T^{7} + 122880694 T^{8} + 735554382 T^{9} + 4671835317 T^{10} + 25177853910 T^{11} + 144826894827 T^{12} + 706867761102 T^{13} + 3660738754954 T^{14} + 15754948721734 T^{15} + 71167889529954 T^{16} + 255342796556829 T^{17} + 959887593718679 T^{18} + 2603876337307373 T^{19} + 7641050804433919 T^{20} + 12294424304712015 T^{21} + 25408476896404831 T^{22} \))(\( 1 + T + 161 T^{2} + 305 T^{3} + 14519 T^{4} + 29543 T^{5} + 927708 T^{6} + 1885106 T^{7} + 44890796 T^{8} + 87863190 T^{9} + 1730411419 T^{10} + 3083453134 T^{11} + 53642753989 T^{12} + 84436525590 T^{13} + 1337341703636 T^{14} + 1740934978226 T^{15} + 26559492415908 T^{16} + 26219521247783 T^{17} + 399455644277609 T^{18} + 260131766419505 T^{19} + 4256779167868031 T^{20} + 819628286980801 T^{21} + 25408476896404831 T^{22} \))(\( 1 + 12 T + 217 T^{2} + 2294 T^{3} + 25288 T^{4} + 223409 T^{5} + 1928461 T^{6} + 14473067 T^{7} + 105005186 T^{8} + 681587608 T^{9} + 4275315388 T^{10} + 24194572252 T^{11} + 132534777028 T^{12} + 655005691288 T^{13} + 3128209496126 T^{14} + 13366181308907 T^{15} + 55210201166611 T^{16} + 198276309868529 T^{17} + 695738985638968 T^{18} + 1956532039889654 T^{19} + 5737398008865607 T^{20} + 9835539443769612 T^{21} + 25408476896404831 T^{22} \))(\( 1 - 23 T + 479 T^{2} - 7023 T^{3} + 91706 T^{4} - 1014544 T^{5} + 10209197 T^{6} - 91930565 T^{7} + 765006071 T^{8} - 5830964387 T^{9} + 41460791431 T^{10} - 273077363220 T^{11} + 1686069655761 T^{12} - 9688485385180 T^{13} + 52268159328591 T^{14} - 262427346054420 T^{15} + 1235158437520921 T^{16} - 5385018061646627 T^{17} + 21901474322575721 T^{18} - 81588714833909765 T^{19} + 280881697444178867 T^{20} - 865295484689541904 T^{21} + 2424671989866494726 T^{22} - 5756249459466165423 T^{23} + 12170660433377914049 T^{24} - 18116244027136644503 T^{25} + 24417546297445042591 T^{26} \))(\( 1 + 7 T + 327 T^{2} + 2169 T^{3} + 50256 T^{4} + 315512 T^{5} + 4834195 T^{6} + 28617043 T^{7} + 327078535 T^{8} + 1810728043 T^{9} + 16568912983 T^{10} + 84548752892 T^{11} + 651134338249 T^{12} + 2995868329884 T^{13} + 20185164485719 T^{14} + 81251351529212 T^{15} + 493604486676553 T^{16} + 1672245372999403 T^{17} + 9363980767373785 T^{18} + 25397731001835283 T^{19} + 133001341572325645 T^{20} + 269097357005084792 T^{21} + 1328749651306681776 T^{22} + 1777773754461357369 T^{23} + 8308571945124379737 T^{24} + 5513639486519848327 T^{25} + 24417546297445042591 T^{26} \))(\( 1 - 7 T + 262 T^{2} - 1380 T^{3} + 32045 T^{4} - 127197 T^{5} + 2491687 T^{6} - 7175349 T^{7} + 140396524 T^{8} - 270266772 T^{9} + 6211025024 T^{10} - 7146213879 T^{11} + 230170870102 T^{12} - 158917631960 T^{13} + 7520679009350 T^{14} - 4926446590760 T^{15} + 221194206168022 T^{16} - 212892857669289 T^{17} + 5736012041189504 T^{18} - 7737508225870572 T^{19} + 124602431849604844 T^{20} - 197412608148749739 T^{21} + 2125137510408252967 T^{22} - 3363040619970869187 T^{23} + 26264988456299768045 T^{24} - 35063698117038666780 T^{25} + \)\(20\!\cdots\!82\)\( T^{26} - \)\(17\!\cdots\!37\)\( T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 - 4 T + 214 T^{2} - 472 T^{3} + 22186 T^{4} - 14355 T^{5} + 1508099 T^{6} + 1464336 T^{7} + 75499608 T^{8} + 205756876 T^{9} + 3010480007 T^{10} + 13423196794 T^{11} + 103089150249 T^{12} + 581671049229 T^{13} + 3264674221032 T^{14} + 18031802526099 T^{15} + 99068673389289 T^{16} + 399890455690054 T^{17} + 2780241506544647 T^{18} + 5890644672292276 T^{19} + 67006180014057048 T^{20} + 40287711296845296 T^{21} + 1286244120673734659 T^{22} - 379540776116432205 T^{23} + 18184273174956050986 T^{24} - 11992801095103080232 T^{25} + \)\(16\!\cdots\!54\)\( T^{26} - 97670185189780170364 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 - 19 T + 351 T^{2} - 4141 T^{3} + 48521 T^{4} - 451065 T^{5} + 4218978 T^{6} - 33684646 T^{7} + 271987265 T^{8} - 1939154241 T^{9} + 14020791354 T^{10} - 91120152463 T^{11} + 601089558708 T^{12} - 3595776405331 T^{13} + 21830885188516 T^{14} - 120653003900156 T^{15} + 676757440843996 T^{16} - 3455541125523091 T^{17} + 17907059043470028 T^{18} - 84151374322782223 T^{19} + 401403352813160454 T^{20} - 1721006526914261121 T^{21} + 7483080665051296415 T^{22} - 28729332672772830886 T^{23} + \)\(11\!\cdots\!38\)\( T^{24} - \)\(36\!\cdots\!65\)\( T^{25} + \)\(12\!\cdots\!51\)\( T^{26} - \)\(32\!\cdots\!01\)\( T^{27} + \)\(85\!\cdots\!41\)\( T^{28} - \)\(14\!\cdots\!99\)\( T^{29} + \)\(23\!\cdots\!51\)\( T^{30} \))(\( 1 - 14 T + 374 T^{2} - 4098 T^{3} + 61755 T^{4} - 562947 T^{5} + 6193957 T^{6} - 49090348 T^{7} + 436343436 T^{8} - 3116734057 T^{9} + 23668521460 T^{10} - 156691482660 T^{11} + 1054035528835 T^{12} - 6570759059267 T^{13} + 40115055700449 T^{14} - 235889137639339 T^{15} + 1329463879680650 T^{16} - 7312563266819509 T^{17} + 38550568528131489 T^{18} - 195749483134623197 T^{19} + 973423945625228035 T^{20} - 4485944117487021660 T^{21} + 21005899919577494260 T^{22} - 85749501396852478327 T^{23} + \)\(37\!\cdots\!76\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} + \)\(50\!\cdots\!57\)\( T^{26} - \)\(14\!\cdots\!57\)\( T^{27} + \)\(48\!\cdots\!55\)\( T^{28} - \)\(10\!\cdots\!18\)\( T^{29} + \)\(28\!\cdots\!54\)\( T^{30} - \)\(32\!\cdots\!14\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 4 T + 30 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 66 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 196 T^{2} + 916 T^{3} + 17569 T^{4} + 68975 T^{5} + 978593 T^{6} + 3213450 T^{7} + 36207941 T^{8} + 94426775 T^{9} + 889922557 T^{10} + 1716731476 T^{11} + 13591415572 T^{12} + 15394358454 T^{13} + 94931877133 T^{14} \))(\( 1 + 2 T + 170 T^{2} + 268 T^{3} + 14167 T^{4} + 18533 T^{5} + 764091 T^{6} + 839604 T^{7} + 28271367 T^{8} + 25371677 T^{9} + 717601051 T^{10} + 502275148 T^{11} + 11788472690 T^{12} + 5131452818 T^{13} + 94931877133 T^{14} \))(\( 1 + 5 T + 234 T^{2} + 1244 T^{3} + 25168 T^{4} + 133352 T^{5} + 1652821 T^{6} + 8059573 T^{7} + 73356069 T^{8} + 298204201 T^{9} + 2262711949 T^{10} + 6754678856 T^{11} + 47168884048 T^{12} + 86263882508 T^{13} + 600379979706 T^{14} + 474659385665 T^{15} + 3512479453921 T^{16} \))(\( 1 + 28 T + 423 T^{2} + 4674 T^{3} + 41769 T^{4} + 311713 T^{5} + 2029872 T^{6} + 12383039 T^{7} + 74973374 T^{8} + 458172443 T^{9} + 2778894768 T^{10} + 15789198589 T^{11} + 78281830809 T^{12} + 324113655018 T^{13} + 1085302271007 T^{14} + 2658092559724 T^{15} + 3512479453921 T^{16} \))(\( 1 - 8 T + 74 T^{2} - 458 T^{3} + 3278 T^{4} - 16121 T^{5} + 56735 T^{6} - 264742 T^{7} - 262836 T^{8} - 2033950 T^{9} - 9724932 T^{10} - 362431798 T^{11} + 2873797955 T^{12} - 30213349481 T^{13} + 227309491046 T^{14} - 1175102695322 T^{15} + 7024958907842 T^{16} - 28099835631368 T^{17} + 129961739795077 T^{18} \))(\( 1 + 14 T + 288 T^{2} + 2824 T^{3} + 34336 T^{4} + 261919 T^{5} + 2409881 T^{6} + 15261048 T^{7} + 117555898 T^{8} + 645787494 T^{9} + 4349568226 T^{10} + 20892374712 T^{11} + 122067702293 T^{12} + 490878374959 T^{13} + 2380994107552 T^{14} + 7245611379016 T^{15} + 27340380614304 T^{16} + 49174712354894 T^{17} + 129961739795077 T^{18} \))(\( 1 + 3 T + 204 T^{2} + 730 T^{3} + 21033 T^{4} + 86043 T^{5} + 1435605 T^{6} + 6408903 T^{7} + 73371569 T^{8} + 330844839 T^{9} + 2999091872 T^{10} + 12241259043 T^{11} + 100445677961 T^{12} + 324630163659 T^{13} + 2690554902405 T^{14} + 5966562092151 T^{15} + 53964923560497 T^{16} + 69300270307090 T^{17} + 716545808599884 T^{18} + 389885219385231 T^{19} + 4808584372417849 T^{20} \))(\( 1 - 17 T + 305 T^{2} - 3451 T^{3} + 38571 T^{4} - 349533 T^{5} + 3115956 T^{6} - 24267878 T^{7} + 185537600 T^{8} - 1270771168 T^{9} + 8572901253 T^{10} - 52448318426 T^{11} + 317197346361 T^{12} - 1739685728992 T^{13} + 9398036052800 T^{14} - 45481910500358 T^{15} + 216072718877892 T^{16} - 896806048916997 T^{17} + 3661617432896943 T^{18} - 12121566595481371 T^{19} + 39638330637498485 T^{20} - 81745934331103433 T^{21} + 177917621779460413 T^{22} \))(\( 1 + 12 T + 318 T^{2} + 2810 T^{3} + 43543 T^{4} + 309429 T^{5} + 3669423 T^{6} + 22245600 T^{7} + 223014200 T^{8} + 1191951787 T^{9} + 10473338275 T^{10} + 49774123796 T^{11} + 387513516175 T^{12} + 1631781996403 T^{13} + 11296338272600 T^{14} + 41691835941600 T^{15} + 254452310726811 T^{16} + 793910157010461 T^{17} + 4133618726002219 T^{18} + 9870067265518010 T^{19} + 41327833254834486 T^{20} + 57703012469014188 T^{21} + 177917621779460413 T^{22} \))(\( 1 - 3 T + 251 T^{2} - 827 T^{3} + 30685 T^{4} - 102181 T^{5} + 2443170 T^{6} - 7798434 T^{7} + 142584622 T^{8} - 424399556 T^{9} + 6512521187 T^{10} - 17721243814 T^{11} + 240963283919 T^{12} - 581002992164 T^{13} + 7222338858166 T^{14} - 14615520863874 T^{15} + 169419075423690 T^{16} - 262168490198029 T^{17} + 2912984649826105 T^{18} - 2904820508392667 T^{19} + 32620396688564327 T^{20} - 14425753117253547 T^{21} + 177917621779460413 T^{22} \))(\( 1 + 8 T + 274 T^{2} + 2010 T^{3} + 38108 T^{4} + 256661 T^{5} + 3551803 T^{6} + 22051628 T^{7} + 247973349 T^{8} + 1421218304 T^{9} + 13703123124 T^{10} + 72295120730 T^{11} + 616133191441 T^{12} + 2968094449062 T^{13} + 22796928083317 T^{14} + 98972020279370 T^{15} + 694104295599972 T^{16} + 2663591917842944 T^{17} + 17195453250201993 T^{18} + 56578444321043852 T^{19} + 337179325996620799 T^{20} + 901516489122817781 T^{21} + 4952581980110794316 T^{22} + 9665254588559876490 T^{23} + 48749428367572153162 T^{24} + 52663616046720282248 T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 - 15 T + 345 T^{2} - 3769 T^{3} + 52604 T^{4} - 470624 T^{5} + 5064353 T^{6} - 39285117 T^{7} + 356465731 T^{8} - 2473495237 T^{9} + 19734360605 T^{10} - 124157349266 T^{11} + 888175619525 T^{12} - 5076796530840 T^{13} + 32862497922425 T^{14} - 169971411145154 T^{15} + 999604567725065 T^{16} - 4635728306871157 T^{17} + 24718744322437567 T^{18} - 100794862167554853 T^{19} + 480768536754139949 T^{20} - 1653057130522116704 T^{21} + 6836507360180230508 T^{22} - 18123554499642872881 T^{23} + 61381579513913842485 T^{24} - 98744280087600529215 T^{25} + \)\(24\!\cdots\!97\)\( T^{26} \))(\( 1 - 8 T + 203 T^{2} - 1650 T^{3} + 22376 T^{4} - 171955 T^{5} + 1762303 T^{6} - 12555069 T^{7} + 110407192 T^{8} - 728779412 T^{9} + 5762392797 T^{10} - 35593829114 T^{11} + 257611626039 T^{12} - 1501390458844 T^{13} + 10116739639794 T^{14} - 55551446977228 T^{15} + 352670316047391 T^{16} - 1802934226111442 T^{17} + 10799651846818317 T^{18} - 50536448208213284 T^{19} + 283274648257933528 T^{20} - 1191876267704337177 T^{21} + 6190053079083340063 T^{22} - 22347570966462465535 T^{23} + \)\(10\!\cdots\!24\)\( T^{24} - \)\(29\!\cdots\!50\)\( T^{25} + \)\(13\!\cdots\!43\)\( T^{26} - \)\(19\!\cdots\!76\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 9 T + 354 T^{2} - 2804 T^{3} + 58945 T^{4} - 406755 T^{5} + 6097295 T^{6} - 36526339 T^{7} + 440830542 T^{8} - 2297881864 T^{9} + 24111672320 T^{10} - 110928326771 T^{11} + 1074776203608 T^{12} - 4512959230266 T^{13} + 41868122781822 T^{14} - 166979491519842 T^{15} + 1471368622739352 T^{16} - 5618852535931463 T^{17} + 45189155906923520 T^{18} - 159344221168295848 T^{19} + 1131050563503183678 T^{20} - 3467513926066306087 T^{21} + 21416623411995243695 T^{22} - 52862587470346545135 T^{23} + \)\(28\!\cdots\!05\)\( T^{24} - \)\(49\!\cdots\!52\)\( T^{25} + \)\(23\!\cdots\!74\)\( T^{26} - \)\(21\!\cdots\!73\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 25 T + 587 T^{2} - 9145 T^{3} + 135185 T^{4} - 1630897 T^{5} + 18794870 T^{6} - 189275446 T^{7} + 1829458931 T^{8} - 15954301593 T^{9} + 134012271338 T^{10} - 1032732665019 T^{11} + 7682692426910 T^{12} - 52903927619341 T^{13} + 352146849016638 T^{14} - 2178256982282956 T^{15} + 13029433413615606 T^{16} - 72425476910877829 T^{17} + 389151419500272230 T^{18} - 1935507284204674059 T^{19} + 9292941181134604466 T^{20} - 40934372934310869537 T^{21} + \)\(17\!\cdots\!23\)\( T^{22} - \)\(66\!\cdots\!66\)\( T^{23} + \)\(24\!\cdots\!90\)\( T^{24} - \)\(78\!\cdots\!53\)\( T^{25} + \)\(24\!\cdots\!05\)\( T^{26} - \)\(60\!\cdots\!45\)\( T^{27} + \)\(14\!\cdots\!39\)\( T^{28} - \)\(22\!\cdots\!25\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 - 11 T + 326 T^{2} - 3268 T^{3} + 54668 T^{4} - 499854 T^{5} + 6189859 T^{6} - 51828931 T^{7} + 527757081 T^{8} - 4060934133 T^{9} + 35866599603 T^{10} - 254407027770 T^{11} + 2009063798288 T^{12} - 13167108362940 T^{13} + 94643058150620 T^{14} - 573689017100797 T^{15} + 3790959322510388 T^{16} - 21226493632729489 T^{17} + 129566346608198780 T^{18} - 666953539907999820 T^{19} + 3765309017263236368 T^{20} - 17641589994180685890 T^{21} + 92023881802446015627 T^{22} - \)\(38\!\cdots\!89\)\( T^{23} + \)\(18\!\cdots\!01\)\( T^{24} - \)\(67\!\cdots\!87\)\( T^{25} + \)\(29\!\cdots\!91\)\( T^{26} - \)\(88\!\cdots\!02\)\( T^{27} + \)\(35\!\cdots\!08\)\( T^{28} - \)\(79\!\cdots\!96\)\( T^{29} + \)\(29\!\cdots\!14\)\( T^{30} - \)\(36\!\cdots\!23\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 - 8 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 2 T + 56 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 90 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 + 20 T + 335 T^{2} + 3634 T^{3} + 36681 T^{4} + 295679 T^{5} + 2303814 T^{6} + 15013902 T^{7} + 94456374 T^{8} + 497036399 T^{9} + 2528091201 T^{10} + 10268815474 T^{11} + 38811827335 T^{12} + 95002084820 T^{13} + 194754273881 T^{14} \))(\( 1 + 105 T^{2} - 142 T^{3} + 5349 T^{4} - 15363 T^{5} + 180956 T^{6} - 899372 T^{7} + 7419196 T^{8} - 25825203 T^{9} + 368658429 T^{10} - 401258062 T^{11} + 12164901105 T^{12} + 194754273881 T^{14} \))(\( 1 - 10 T + 248 T^{2} - 2034 T^{3} + 26038 T^{4} - 183841 T^{5} + 1625297 T^{6} - 10340145 T^{7} + 74265440 T^{8} - 423945945 T^{9} + 2732124257 T^{10} - 12670505561 T^{11} + 73577164918 T^{12} - 235651512834 T^{13} + 1178025851768 T^{14} - 1947542738810 T^{15} + 7984925229121 T^{16} \))(\( 1 + 18 T + 324 T^{2} + 4020 T^{3} + 45618 T^{4} + 422001 T^{5} + 3638541 T^{6} + 26825699 T^{7} + 183998704 T^{8} + 1099853659 T^{9} + 6116387421 T^{10} + 29084730921 T^{11} + 128905565298 T^{12} + 465741928020 T^{13} + 1539033774084 T^{14} + 3505576929858 T^{15} + 7984925229121 T^{16} \))(\( 1 + 22 T + 379 T^{2} + 4194 T^{3} + 37378 T^{4} + 226617 T^{5} + 859415 T^{6} - 1755534 T^{7} - 51100845 T^{8} - 452117686 T^{9} - 2095134645 T^{10} - 2951052654 T^{11} + 59231741215 T^{12} + 640365480537 T^{13} + 4330473080978 T^{14} + 19921937186754 T^{15} + 73811869800899 T^{16} + 175668355040662 T^{17} + 327381934393961 T^{18} \))(\( 1 - 12 T + 275 T^{2} - 2646 T^{3} + 35644 T^{4} - 289141 T^{5} + 2924703 T^{6} - 20228260 T^{7} + 166606863 T^{8} - 983158298 T^{9} + 6830881383 T^{10} - 34003705060 T^{11} + 201573455463 T^{12} - 817043361301 T^{13} + 4129578428444 T^{14} - 12568775821686 T^{15} + 53557425317275 T^{16} - 95819102749452 T^{17} + 327381934393961 T^{18} \))(\( 1 - 24 T + 430 T^{2} - 5596 T^{3} + 63997 T^{4} - 626617 T^{5} + 5666355 T^{6} - 46302249 T^{7} + 355679202 T^{8} - 2511522098 T^{9} + 16740121806 T^{10} - 102972406018 T^{11} + 597896738562 T^{12} - 3191197303329 T^{13} + 16011764971155 T^{14} - 72597465102017 T^{15} + 303992421111277 T^{16} - 1089844916638076 T^{17} + 3433517848522030 T^{18} - 7857166425455064 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 4 T + 213 T^{2} - 1164 T^{3} + 19813 T^{4} - 139937 T^{5} + 1188492 T^{6} - 9152532 T^{7} + 62554357 T^{8} - 384755659 T^{9} + 3121087868 T^{10} - 14416824832 T^{11} + 127964602588 T^{12} - 646774262779 T^{13} + 4311308838797 T^{14} - 25862867976852 T^{15} + 137694168038892 T^{16} - 664715337172817 T^{17} + 3858666428404253 T^{18} - 9294452966696844 T^{19} + 69732352025913693 T^{20} - 53690637240609604 T^{21} + 550329031716248441 T^{22} \))(\( 1 - 8 T + 165 T^{2} - 1014 T^{3} + 10709 T^{4} - 60333 T^{5} + 440488 T^{6} - 3070756 T^{7} + 21658833 T^{8} - 182725579 T^{9} + 1267498084 T^{10} - 9101023212 T^{11} + 51967421444 T^{12} - 307161698299 T^{13} + 1492748429193 T^{14} - 8677222545316 T^{15} + 51033266266088 T^{16} - 286588039172253 T^{17} + 2085623518991629 T^{18} - 8096714182328694 T^{19} + 54018019175003565 T^{20} - 107381274481219208 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 4 T + 357 T^{2} + 1384 T^{3} + 60515 T^{4} + 223461 T^{5} + 6447518 T^{6} + 22191468 T^{7} + 480343567 T^{8} + 1502278807 T^{9} + 26281397842 T^{10} + 72486600984 T^{11} + 1077537311522 T^{12} + 2525330674567 T^{13} + 33105758981207 T^{14} + 62707784807148 T^{15} + 746984941359118 T^{16} + 1061463043798101 T^{17} + 11785554883908715 T^{18} + 11051136517103464 T^{19} + 116875350578644077 T^{20} + 53690637240609604 T^{21} + 550329031716248441 T^{22} \))(\( 1 + 2 T + 309 T^{2} + 342 T^{3} + 47580 T^{4} + 18729 T^{5} + 4879605 T^{6} - 773136 T^{7} + 373612310 T^{8} - 201688224 T^{9} + 22641822142 T^{10} - 16680423058 T^{11} + 1120749214421 T^{12} - 841918190862 T^{13} + 45950717791261 T^{14} - 28039791160498 T^{15} + 1560497023848782 T^{16} - 569922717538464 T^{17} + 43285302883434310 T^{18} - 3672476592469776 T^{19} + 950323928601097005 T^{20} + 149549664616207209 T^{21} + 15576832438464664380 T^{22} + 4590549484072121142 T^{23} + \)\(17\!\cdots\!69\)\( T^{24} + 45126980600732372162 T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 + 10 T + 445 T^{2} + 3796 T^{3} + 93104 T^{4} + 693317 T^{5} + 12230837 T^{6} + 80496622 T^{7} + 1130316602 T^{8} + 6612342868 T^{9} + 77776178574 T^{10} + 404670591330 T^{11} + 4104405805029 T^{12} + 18914374503874 T^{13} + 168280638006189 T^{14} + 680251264025730 T^{15} + 5360412003498654 T^{16} + 18684900595022548 T^{17} + 130954187434949002 T^{18} + 382367345548373902 T^{19} + 2382007778891868397 T^{20} + 5536084405078484357 T^{21} + 30480567619815344944 T^{22} + 50952414741338514196 T^{23} + \)\(24\!\cdots\!45\)\( T^{24} + \)\(22\!\cdots\!10\)\( T^{25} + \)\(92\!\cdots\!21\)\( T^{26} \))(\( 1 + 20 T + 492 T^{2} + 6214 T^{3} + 89831 T^{4} + 845369 T^{5} + 9324307 T^{6} + 71657051 T^{7} + 678797225 T^{8} + 4521802498 T^{9} + 39166658634 T^{10} + 234438509036 T^{11} + 1913984616871 T^{12} + 10592124304972 T^{13} + 82671918092734 T^{14} + 434277096503852 T^{15} + 3217408140960151 T^{16} + 16157736481270156 T^{17} + 110675616468270474 T^{18} + 523878859090590098 T^{19} + 3224357577251531225 T^{20} + 13955516935958784931 T^{21} + 74453894208369544147 T^{22} + \)\(27\!\cdots\!09\)\( T^{23} + \)\(12\!\cdots\!31\)\( T^{24} + \)\(34\!\cdots\!74\)\( T^{25} + \)\(11\!\cdots\!52\)\( T^{26} + \)\(18\!\cdots\!20\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 10 T + 320 T^{2} - 2874 T^{3} + 49505 T^{4} - 394641 T^{5} + 4894185 T^{6} - 34378717 T^{7} + 347046185 T^{8} - 2153104102 T^{9} + 19069728268 T^{10} - 106542863182 T^{11} + 878993774837 T^{12} - 4603433076002 T^{13} + 36963424216278 T^{14} - 188740756116082 T^{15} + 1477588535500997 T^{16} - 7343040673366622 T^{17} + 53886494420311948 T^{18} - 249450461615236502 T^{19} + 1648505555191370585 T^{20} - 6695402066295390677 T^{21} + 39079701282485561385 T^{22} - \)\(12\!\cdots\!01\)\( T^{23} + \)\(66\!\cdots\!05\)\( T^{24} - \)\(15\!\cdots\!34\)\( T^{25} + \)\(72\!\cdots\!20\)\( T^{26} - \)\(92\!\cdots\!10\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 8 T + 393 T^{2} - 2364 T^{3} + 70999 T^{4} - 330601 T^{5} + 8201334 T^{6} - 30405740 T^{7} + 701076888 T^{8} - 2132506583 T^{9} + 47783074571 T^{10} - 122875954012 T^{11} + 2698864066385 T^{12} - 6061865363112 T^{13} + 129136294830429 T^{14} - 263336112237176 T^{15} + 5294588088047589 T^{16} - 10189995675391272 T^{17} + 186008410319320585 T^{18} - 347218078684903132 T^{19} + 5535965491895764771 T^{20} - 10129628563868718503 T^{21} + \)\(13\!\cdots\!28\)\( T^{22} - \)\(24\!\cdots\!40\)\( T^{23} + \)\(26\!\cdots\!74\)\( T^{24} - \)\(44\!\cdots\!01\)\( T^{25} + \)\(39\!\cdots\!59\)\( T^{26} - \)\(53\!\cdots\!84\)\( T^{27} + \)\(36\!\cdots\!53\)\( T^{28} - \)\(30\!\cdots\!88\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 - 14 T + 368 T^{2} - 4074 T^{3} + 64412 T^{4} - 603017 T^{5} + 7391497 T^{6} - 61148433 T^{7} + 638188788 T^{8} - 4795118521 T^{9} + 44558295473 T^{10} - 308738794081 T^{11} + 2615454048348 T^{12} - 16847758717956 T^{13} + 131899842123366 T^{14} - 793353448556240 T^{15} + 5786057478760742 T^{16} - 32527491390805840 T^{17} + 221723634609378246 T^{18} - 1161164378600245476 T^{19} + 7390648047113892828 T^{20} - 35769303783545946281 T^{21} + \)\(21\!\cdots\!93\)\( T^{22} - \)\(93\!\cdots\!01\)\( T^{23} + \)\(50\!\cdots\!48\)\( T^{24} - \)\(20\!\cdots\!13\)\( T^{25} + \)\(99\!\cdots\!97\)\( T^{26} - \)\(33\!\cdots\!97\)\( T^{27} + \)\(14\!\cdots\!72\)\( T^{28} - \)\(37\!\cdots\!54\)\( T^{29} + \)\(13\!\cdots\!48\)\( T^{30} - \)\(21\!\cdots\!14\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 + 4 T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 38 T^{2} + 1849 T^{4} \))(\( 1 - 6 T + 78 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 + 19 T + 342 T^{2} + 4046 T^{3} + 43779 T^{4} + 379721 T^{5} + 3054827 T^{6} + 20719536 T^{7} + 131357561 T^{8} + 702104129 T^{9} + 3480736953 T^{10} + 13832468846 T^{11} + 50276887506 T^{12} + 120105897931 T^{13} + 271818611107 T^{14} \))(\( 1 + 15 T + 314 T^{2} + 3220 T^{3} + 39423 T^{4} + 308271 T^{5} + 2756055 T^{6} + 16989696 T^{7} + 118510365 T^{8} + 569993079 T^{9} + 3134404461 T^{10} + 11008539220 T^{11} + 46160651102 T^{12} + 94820445735 T^{13} + 271818611107 T^{14} \))(\( 1 - 5 T + 209 T^{2} - 1213 T^{3} + 22103 T^{4} - 125801 T^{5} + 1573014 T^{6} - 7827243 T^{7} + 79948718 T^{8} - 336571449 T^{9} + 2908502886 T^{10} - 10002060107 T^{11} + 75565758503 T^{12} - 178321241359 T^{13} + 1321164877241 T^{14} - 1359093055535 T^{15} + 11688200277601 T^{16} \))(\( 1 + 44 T + 1091 T^{2} + 19048 T^{3} + 259322 T^{4} + 2890863 T^{5} + 27222071 T^{6} + 220309220 T^{7} + 1548255489 T^{8} + 9473296460 T^{9} + 50333609279 T^{10} + 229843844541 T^{11} + 886570312922 T^{12} + 2800216822264 T^{13} + 6896607086459 T^{14} + 11960018888708 T^{15} + 11688200277601 T^{16} \))(\( 1 + 3 T + 208 T^{2} + 556 T^{3} + 18908 T^{4} + 40706 T^{5} + 993655 T^{6} + 1536742 T^{7} + 38597954 T^{8} + 49579490 T^{9} + 1659712022 T^{10} + 2841435958 T^{11} + 79002528085 T^{12} + 139165713506 T^{13} + 2779635640244 T^{14} + 3514677855244 T^{15} + 56538271110256 T^{16} + 35064600832803 T^{17} + 502592611936843 T^{18} \))(\( 1 + 17 T + 354 T^{2} + 4360 T^{3} + 54938 T^{4} + 534982 T^{5} + 5089393 T^{6} + 40755488 T^{7} + 314465472 T^{8} + 2104202434 T^{9} + 13522015296 T^{10} + 75356897312 T^{11} + 404642369251 T^{12} + 1828996996582 T^{13} + 8076349841534 T^{14} + 27561142893640 T^{15} + 96223788331878 T^{16} + 198699404719217 T^{17} + 502592611936843 T^{18} \))(\( 1 - 4 T + 161 T^{2} - 472 T^{3} + 12487 T^{4} - 17995 T^{5} + 597702 T^{6} + 740140 T^{7} + 19922087 T^{8} + 107490773 T^{9} + 683597200 T^{10} + 4622103239 T^{11} + 36835938863 T^{12} + 58846310980 T^{13} + 2043424195302 T^{14} - 2645416931785 T^{15} + 78934860392863 T^{16} - 128298384442504 T^{17} + 1881800244693761 T^{18} - 2010370447747372 T^{19} + 21611482313284249 T^{20} \))(\( 1 - 3 T + 260 T^{2} - 446 T^{3} + 32029 T^{4} - 24703 T^{5} + 2627831 T^{6} - 752872 T^{7} + 168115068 T^{8} - 33145518 T^{9} + 8835401079 T^{10} - 1826526116 T^{11} + 379922246397 T^{12} - 61286062782 T^{13} + 13366324711476 T^{14} - 2573919546472 T^{15} + 386313343777133 T^{16} - 156156631399447 T^{17} + 8706078295146103 T^{18} - 5212937323810046 T^{19} + 130674079103579180 T^{20} - 64834446939852747 T^{21} + 929293739471222707 T^{22} \))(\( 1 + 14 T + 292 T^{2} + 2780 T^{3} + 36146 T^{4} + 284061 T^{5} + 3049307 T^{6} + 21512225 T^{7} + 201687055 T^{8} + 1278547995 T^{9} + 10611162319 T^{10} + 60756878122 T^{11} + 456279979717 T^{12} + 2364035242755 T^{13} + 16035532681885 T^{14} + 73546016342225 T^{15} + 448273874299001 T^{16} + 1795652709061989 T^{17} + 9825155517073622 T^{18} + 32493196771730780 T^{19} + 146757042685558156 T^{20} + 302560752385979486 T^{21} + 929293739471222707 T^{22} \))(\( 1 - 16 T + 520 T^{2} - 6578 T^{3} + 118548 T^{4} - 1228819 T^{5} + 15851927 T^{6} - 137380919 T^{7} + 1391701897 T^{8} - 10181175091 T^{9} + 84573355047 T^{10} - 522672368066 T^{11} + 3636654267021 T^{12} - 18824992743259 T^{13} + 110650042724779 T^{14} - 469678023258119 T^{15} + 2330367106819661 T^{16} - 7767811020509131 T^{17} + 32223552709512636 T^{18} - 76884981426059378 T^{19} + 261348158207158360 T^{20} - 345783717012547984 T^{21} + 929293739471222707 T^{22} \))(\( 1 + 14 T + 250 T^{2} + 2140 T^{3} + 22027 T^{4} + 138981 T^{5} + 1265113 T^{6} + 8679247 T^{7} + 85065611 T^{8} + 622580216 T^{9} + 5018392824 T^{10} + 30979303037 T^{11} + 209328040104 T^{12} + 1243905214282 T^{13} + 9001105724472 T^{14} + 57280731315413 T^{15} + 398997358257768 T^{16} + 2128477865041016 T^{17} + 12505363025953673 T^{18} + 54864671278944103 T^{19} + 343881258553410091 T^{20} + 1624437762781264581 T^{21} + 11070607463132840761 T^{22} + 46248572150428292860 T^{23} + \)\(23\!\cdots\!50\)\( T^{24} + \)\(55\!\cdots\!14\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 - 15 T + 438 T^{2} - 5004 T^{3} + 83902 T^{4} - 794496 T^{5} + 9946761 T^{6} - 82189986 T^{7} + 848168555 T^{8} - 6278072613 T^{9} + 55934912682 T^{10} - 374431012002 T^{11} + 2954650492731 T^{12} - 17903291301176 T^{13} + 127049971187433 T^{14} - 692322941191698 T^{15} + 4447217102607774 T^{16} - 21463480927397013 T^{17} + 124687938672109865 T^{18} - 519552740498227314 T^{19} + 2703714760033274427 T^{20} - 9286228367752884096 T^{21} + 42168525326725001386 T^{22} - \)\(10\!\cdots\!96\)\( T^{23} + \)\(40\!\cdots\!66\)\( T^{24} - \)\(59\!\cdots\!15\)\( T^{25} + \)\(17\!\cdots\!43\)\( T^{26} \))(\( 1 - 22 T + 489 T^{2} - 6516 T^{3} + 88055 T^{4} - 894021 T^{5} + 9476160 T^{6} - 81708566 T^{7} + 751073376 T^{8} - 5795463743 T^{9} + 48099013917 T^{10} - 338999712577 T^{11} + 2583646019440 T^{12} - 16830341868789 T^{13} + 119197570252148 T^{14} - 723704700357927 T^{15} + 4777161489944560 T^{16} - 26952850147859539 T^{17} + 164440956878453517 T^{18} - 851982101321382149 T^{19} + 4747807486134083424 T^{20} - 22209908925664642562 T^{21} + \)\(11\!\cdots\!60\)\( T^{22} - \)\(44\!\cdots\!03\)\( T^{23} + \)\(19\!\cdots\!95\)\( T^{24} - \)\(60\!\cdots\!12\)\( T^{25} + \)\(19\!\cdots\!89\)\( T^{26} - \)\(37\!\cdots\!46\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 26 T + 749 T^{2} - 13014 T^{3} + 224235 T^{4} - 2993109 T^{5} + 38761086 T^{6} - 424473628 T^{7} + 4489477808 T^{8} - 41822785193 T^{9} + 376211553989 T^{10} - 3043870273305 T^{11} + 23796240384652 T^{12} - 169060626984311 T^{13} + 1161106402405728 T^{14} - 7269606960325373 T^{15} + 43999248471221548 T^{16} - 242008993819660635 T^{17} + 1286192436989147189 T^{18} - 6148302533146384499 T^{19} + 28379619124796716592 T^{20} - \)\(11\!\cdots\!96\)\( T^{21} + \)\(45\!\cdots\!86\)\( T^{22} - \)\(15\!\cdots\!87\)\( T^{23} + \)\(48\!\cdots\!15\)\( T^{24} - \)\(12\!\cdots\!98\)\( T^{25} + \)\(29\!\cdots\!49\)\( T^{26} - \)\(44\!\cdots\!18\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 25 T + 626 T^{2} - 10054 T^{3} + 154857 T^{4} - 1918541 T^{5} + 22745727 T^{6} - 234619412 T^{7} + 2324957047 T^{8} - 20814325507 T^{9} + 179988249983 T^{10} - 1436284572330 T^{11} + 11130046845204 T^{12} - 80586370363351 T^{13} + 568910935038113 T^{14} - 3775163744806200 T^{15} + 24463170206638859 T^{16} - 149004198801835999 T^{17} + 884916634521634428 T^{18} - 4910371132166376330 T^{19} + 26459792388295606469 T^{20} - \)\(13\!\cdots\!43\)\( T^{21} + \)\(63\!\cdots\!29\)\( T^{22} - \)\(27\!\cdots\!12\)\( T^{23} + \)\(11\!\cdots\!61\)\( T^{24} - \)\(41\!\cdots\!09\)\( T^{25} + \)\(14\!\cdots\!99\)\( T^{26} - \)\(40\!\cdots\!54\)\( T^{27} + \)\(10\!\cdots\!18\)\( T^{28} - \)\(18\!\cdots\!25\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 - 28 T + 671 T^{2} - 11636 T^{3} + 178988 T^{4} - 2345345 T^{5} + 28148765 T^{6} - 303479000 T^{7} + 3053286497 T^{8} - 28339505680 T^{9} + 248753744319 T^{10} - 2048014978279 T^{11} + 16121714286272 T^{12} - 120479337196686 T^{13} + 868491544621173 T^{14} - 5993034077345292 T^{15} + 40105063651874564 T^{16} - 257700465325847556 T^{17} + 1605840866004548877 T^{18} - 9578950662496913802 T^{19} + 55116932923620999872 T^{20} - \)\(30\!\cdots\!97\)\( T^{21} + \)\(15\!\cdots\!31\)\( T^{22} - \)\(77\!\cdots\!60\)\( T^{23} + \)\(35\!\cdots\!97\)\( T^{24} - \)\(15\!\cdots\!00\)\( T^{25} + \)\(60\!\cdots\!85\)\( T^{26} - \)\(21\!\cdots\!15\)\( T^{27} + \)\(71\!\cdots\!88\)\( T^{28} - \)\(19\!\cdots\!48\)\( T^{29} + \)\(49\!\cdots\!79\)\( T^{30} - \)\(88\!\cdots\!96\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 4 T + 86 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 102 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 + 13 T + 234 T^{2} + 2369 T^{3} + 26565 T^{4} + 213543 T^{5} + 1856942 T^{6} + 12221869 T^{7} + 87276274 T^{8} + 471716487 T^{9} + 2758057995 T^{10} + 11559964289 T^{11} + 53666731638 T^{12} + 140129799277 T^{13} + 506623120463 T^{14} \))(\( 1 - 14 T + 320 T^{2} - 3630 T^{3} + 44301 T^{4} - 405295 T^{5} + 3438923 T^{6} - 24967418 T^{7} + 161629381 T^{8} - 895296655 T^{9} + 4599462723 T^{10} - 17713242030 T^{11} + 73390402240 T^{12} - 150909014606 T^{13} + 506623120463 T^{14} \))(\( 1 - 10 T + 315 T^{2} - 2712 T^{3} + 45739 T^{4} - 335873 T^{5} + 3990990 T^{6} - 24655713 T^{7} + 228741786 T^{8} - 1158818511 T^{9} + 8816096910 T^{10} - 34871342479 T^{11} + 223191729259 T^{12} - 621983658984 T^{13} + 3395452828635 T^{14} - 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 + 8 T + 123 T^{2} + 1084 T^{3} + 11921 T^{4} + 89141 T^{5} + 708064 T^{6} + 5107309 T^{7} + 39053062 T^{8} + 240043523 T^{9} + 1564113376 T^{10} + 9254886043 T^{11} + 58170677201 T^{12} + 248609987588 T^{13} + 1325843485467 T^{14} + 4052984963704 T^{15} + 23811286661761 T^{16} \))(\( 1 + 49 T + 1300 T^{2} + 23661 T^{3} + 328816 T^{4} + 3697622 T^{5} + 35172646 T^{6} + 293590202 T^{7} + 2225749625 T^{8} + 15723418052 T^{9} + 104610232375 T^{10} + 648540756218 T^{11} + 3651729625658 T^{12} + 18043215818582 T^{13} + 75412307821712 T^{14} + 255047013899469 T^{15} + 658610056601900 T^{16} + 1166753046426289 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 11 T + 332 T^{2} + 3135 T^{3} + 51284 T^{4} + 426316 T^{5} + 4920372 T^{6} + 35875498 T^{7} + 324307075 T^{8} + 2032387144 T^{9} + 15242432525 T^{10} + 79248975082 T^{11} + 510847782156 T^{12} + 2080286085196 T^{13} + 11761729338988 T^{14} + 33792840056415 T^{15} + 168198875993716 T^{16} + 261924153279371 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 16 T + 485 T^{2} - 5860 T^{3} + 100894 T^{4} - 981595 T^{5} + 12295661 T^{6} - 99380423 T^{7} + 989154609 T^{8} - 6726541224 T^{9} + 55333717948 T^{10} - 316147437528 T^{11} + 2185042531281 T^{12} - 10317973657129 T^{13} + 59998903364141 T^{14} - 225123912146165 T^{15} + 1087558151404126 T^{16} - 2968811485913180 T^{17} + 11548474030954085 T^{18} - 17906087569644272 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 3 T + 242 T^{2} + 967 T^{3} + 28733 T^{4} + 141387 T^{5} + 2345366 T^{6} + 12122935 T^{7} + 154793515 T^{8} + 720817330 T^{9} + 8694738953 T^{10} + 35487433188 T^{11} + 408652730791 T^{12} + 1592285481970 T^{13} + 16071127107845 T^{14} + 59156055583735 T^{15} + 537897981687562 T^{16} + 1524040917721323 T^{17} + 14556802120263379 T^{18} + 23025514201922887 T^{19} + 270829574490869614 T^{20} + 157797396707490147 T^{21} + 2472159215084012303 T^{22} \))(\( 1 + 3 T + 324 T^{2} + 891 T^{3} + 52375 T^{4} + 122605 T^{5} + 5532744 T^{6} + 10769393 T^{7} + 425965675 T^{8} + 695018596 T^{9} + 25296836247 T^{10} + 35914331392 T^{11} + 1188951303609 T^{12} + 1535296078564 T^{13} + 44225034275525 T^{14} + 52551202403633 T^{15} + 1268907211409208 T^{16} + 1321585695412045 T^{17} + 26534385934249625 T^{18} + 21215856415629051 T^{19} + 362598273285296508 T^{20} + 157797396707490147 T^{21} + 2472159215084012303 T^{22} \))(\( 1 - 8 T + 184 T^{2} - 900 T^{3} + 15409 T^{4} - 67603 T^{5} + 1185979 T^{6} - 5749208 T^{7} + 80093032 T^{8} - 341146445 T^{9} + 4121793703 T^{10} - 15806840248 T^{11} + 193724304041 T^{12} - 753592497005 T^{13} + 8315498861336 T^{14} - 28054301042648 T^{15} + 271998362056853 T^{16} - 728707293886387 T^{17} + 7806555663214367 T^{18} - 21430157995584900 T^{19} + 205920007050909128 T^{20} - 420793057886640392 T^{21} + 2472159215084012303 T^{22} \))(\( 1 - T + 226 T^{2} + 139 T^{3} + 25574 T^{4} + 45374 T^{5} + 1991810 T^{6} + 4646200 T^{7} + 123049796 T^{8} + 277315067 T^{9} + 6562890019 T^{10} + 11972361325 T^{11} + 322526405420 T^{12} + 503405826736 T^{13} + 15158741054740 T^{14} + 26446946166925 T^{15} + 681378930442637 T^{16} + 1353209063453627 T^{17} + 28220856324968572 T^{18} + 50082390261599800 T^{19} + 1009096997569408030 T^{20} + 1080413320990743614 T^{21} + 28620642719130163258 T^{22} + 7311279380780376811 T^{23} + \)\(55\!\cdots\!78\)\( T^{24} - \)\(11\!\cdots\!41\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 + 7 T + 320 T^{2} + 1691 T^{3} + 47696 T^{4} + 190204 T^{5} + 4555894 T^{6} + 13042378 T^{7} + 323373526 T^{8} + 609925515 T^{9} + 18879997907 T^{10} + 22188550459 T^{11} + 972157595378 T^{12} + 866903508772 T^{13} + 45691406982766 T^{14} + 49014507963931 T^{15} + 1960178022698461 T^{16} + 2976241946960715 T^{17} + 74164103584084682 T^{18} + 140586600864212362 T^{19} + 2308121234778658922 T^{20} + 4529001968213589244 T^{21} + 53378047045109574832 T^{22} + 88945132610788612859 T^{23} + \)\(79\!\cdots\!60\)\( T^{24} + \)\(81\!\cdots\!87\)\( T^{25} + \)\(54\!\cdots\!27\)\( T^{26} \))(\( 1 + 18 T + 431 T^{2} + 5484 T^{3} + 81782 T^{4} + 856709 T^{5} + 10070297 T^{6} + 92551987 T^{7} + 929763944 T^{8} + 7710247004 T^{9} + 68650793893 T^{10} + 520117326906 T^{11} + 4183981749377 T^{12} + 29111281319318 T^{13} + 214018111196326 T^{14} + 1368230222007946 T^{15} + 9242415684373793 T^{16} + 54000141231361638 T^{17} + 334993974594588133 T^{18} + 1768306653104109028 T^{19} + 10022125757516297576 T^{20} + 46888976458991009981 T^{21} + \)\(23\!\cdots\!17\)\( T^{22} + \)\(95\!\cdots\!03\)\( T^{23} + \)\(43\!\cdots\!18\)\( T^{24} + \)\(13\!\cdots\!52\)\( T^{25} + \)\(50\!\cdots\!71\)\( T^{26} + \)\(98\!\cdots\!86\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 14 T + 379 T^{2} - 4216 T^{3} + 68076 T^{4} - 669183 T^{5} + 8281665 T^{6} - 74324079 T^{7} + 766817522 T^{8} - 6330497222 T^{9} + 56884017617 T^{10} - 433615061708 T^{11} + 3482810743937 T^{12} - 24482129341040 T^{13} + 178519365519590 T^{14} - 1150660079028880 T^{15} + 7693528933356833 T^{16} - 45019216551709684 T^{17} + 277575859969340177 T^{18} - 1451867929693070554 T^{19} + 8265691187688194738 T^{20} - 37654296828518528577 T^{21} + \)\(19\!\cdots\!65\)\( T^{22} - \)\(74\!\cdots\!61\)\( T^{23} + \)\(35\!\cdots\!24\)\( T^{24} - \)\(10\!\cdots\!48\)\( T^{25} + \)\(44\!\cdots\!39\)\( T^{26} - \)\(76\!\cdots\!78\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 11 T + 502 T^{2} - 4665 T^{3} + 117261 T^{4} - 928711 T^{5} + 16966428 T^{6} - 114884221 T^{7} + 1714269752 T^{8} - 9933589493 T^{9} + 130359158893 T^{10} - 650458114899 T^{11} + 7961302526798 T^{12} - 35051035166905 T^{13} + 416552743028117 T^{14} - 1699113061697518 T^{15} + 19577978922321499 T^{16} - 77427736683693145 T^{17} + 826566312239748754 T^{18} - 3174028104568467219 T^{19} + 29897222208829197251 T^{20} - \)\(10\!\cdots\!97\)\( T^{21} + \)\(86\!\cdots\!76\)\( T^{22} - \)\(27\!\cdots\!81\)\( T^{23} + \)\(18\!\cdots\!76\)\( T^{24} - \)\(48\!\cdots\!39\)\( T^{25} + \)\(28\!\cdots\!83\)\( T^{26} - \)\(54\!\cdots\!65\)\( T^{27} + \)\(27\!\cdots\!54\)\( T^{28} - \)\(28\!\cdots\!59\)\( T^{29} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 + T + 327 T^{2} + 546 T^{3} + 56105 T^{4} + 131450 T^{5} + 6676947 T^{6} + 19914302 T^{7} + 616513256 T^{8} + 2179622420 T^{9} + 46859895677 T^{10} + 185097083314 T^{11} + 3037016974655 T^{12} + 12689602479890 T^{13} + 171599789099497 T^{14} + 717142993052863 T^{15} + 8563312252149982 T^{16} + 33705720673484561 T^{17} + 379063934120788873 T^{18} + 1317472598269619470 T^{19} + 14819674027901485055 T^{20} + 42451091868328913198 T^{21} + \)\(50\!\cdots\!33\)\( T^{22} + \)\(11\!\cdots\!60\)\( T^{23} + \)\(14\!\cdots\!16\)\( T^{24} + \)\(22\!\cdots\!34\)\( T^{25} + \)\(35\!\cdots\!03\)\( T^{26} + \)\(32\!\cdots\!50\)\( T^{27} + \)\(65\!\cdots\!05\)\( T^{28} + \)\(29\!\cdots\!42\)\( T^{29} + \)\(83\!\cdots\!63\)\( T^{30} + \)\(12\!\cdots\!43\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 5 T + 53 T^{2} \))(\( 1 + 12 T + 130 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 221 T^{2} + 629 T^{3} + 22950 T^{4} + 40507 T^{5} + 1547547 T^{6} + 1977839 T^{7} + 82019991 T^{8} + 113784163 T^{9} + 3416727150 T^{10} + 4963112549 T^{11} + 92421203953 T^{12} + 88657444516 T^{13} + 1174711139837 T^{14} \))(\( 1 + 25 T + 580 T^{2} + 8530 T^{3} + 114043 T^{4} + 1173779 T^{5} + 11029265 T^{6} + 83944734 T^{7} + 584551045 T^{8} + 3297145211 T^{9} + 16978379711 T^{10} + 67305802930 T^{11} + 242553385940 T^{12} + 554109028225 T^{13} + 1174711139837 T^{14} \))(\( 1 - 27 T + 615 T^{2} - 9449 T^{3} + 128545 T^{4} - 1413915 T^{5} + 14130060 T^{6} - 120460531 T^{7} + 943113966 T^{8} - 6384408143 T^{9} + 39691338540 T^{10} - 210499423455 T^{11} + 1014281880145 T^{12} - 3951529213357 T^{13} + 13631082094335 T^{14} - 31717200775599 T^{15} + 62259690411361 T^{16} \))(\( 1 + 11 T + 239 T^{2} + 1809 T^{3} + 23699 T^{4} + 140907 T^{5} + 1553930 T^{6} + 8345513 T^{7} + 86738734 T^{8} + 442312189 T^{9} + 4364989370 T^{10} + 20977811439 T^{11} + 186996509219 T^{12} + 756515646837 T^{13} + 5297282309831 T^{14} + 12921822538207 T^{15} + 62259690411361 T^{16} \))(\( 1 - 8 T + 373 T^{2} - 2599 T^{3} + 66093 T^{4} - 401099 T^{5} + 7261348 T^{6} - 38138666 T^{7} + 544258569 T^{8} - 2437251848 T^{9} + 28845704157 T^{10} - 107131512794 T^{11} + 1081047706196 T^{12} - 3164864038619 T^{13} + 27639794718849 T^{14} - 57605174574271 T^{15} + 438167255159201 T^{16} - 498077523290888 T^{17} + 3299763591802133 T^{18} \))(\( 1 + 12 T + 389 T^{2} + 3593 T^{3} + 66369 T^{4} + 498969 T^{5} + 6845520 T^{6} + 43389904 T^{7} + 490035761 T^{8} + 2676239376 T^{9} + 25971895333 T^{10} + 121882240336 T^{11} + 1019140481040 T^{12} + 3937105414089 T^{13} + 27755216674917 T^{14} + 79636549536497 T^{15} + 456962633396593 T^{16} + 747116284936332 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 5 T + 233 T^{2} - 1553 T^{3} + 33170 T^{4} - 218326 T^{5} + 3355825 T^{6} - 21202972 T^{7} + 255097441 T^{8} - 1485829372 T^{9} + 15294167860 T^{10} - 78748956716 T^{11} + 716568711769 T^{12} - 3156634862444 T^{13} + 26479073401825 T^{14} - 91302949204718 T^{15} + 735191858648930 T^{16} - 1824326400166861 T^{17} + 14506507865847113 T^{18} - 16498817959010665 T^{19} + 174887470365513049 T^{20} \))(\( 1 - 20 T + 501 T^{2} - 6757 T^{3} + 103166 T^{4} - 1100881 T^{5} + 13006923 T^{6} - 117826243 T^{7} + 1171190956 T^{8} - 9283533657 T^{9} + 80180243301 T^{10} - 560109924980 T^{11} + 4249552894953 T^{12} - 26077446042513 T^{13} + 174363395956412 T^{14} - 929705731692883 T^{15} + 5439436576398039 T^{16} - 24400324044054649 T^{17} + 121190249452423942 T^{18} - 420688728109566277 T^{19} + 1653181559492868633 T^{20} - 3497749407310260980 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 14 T + 335 T^{2} + 3323 T^{3} + 46126 T^{4} + 359967 T^{5} + 3665619 T^{6} + 23697173 T^{7} + 195391418 T^{8} + 1127851977 T^{9} + 8638360809 T^{10} + 52873117284 T^{11} + 457833122877 T^{12} + 3168136203393 T^{13} + 29089288137586 T^{14} + 186982093310213 T^{15} + 1532945344855167 T^{16} + 7978438582522743 T^{17} + 54184726036121462 T^{18} + 206888951236952603 T^{19} + 1105420803253714555 T^{20} + 2448424585117182686 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 3 T + 236 T^{2} + 842 T^{3} + 32099 T^{4} + 122343 T^{5} + 3176317 T^{6} + 12035912 T^{7} + 247783088 T^{8} + 899407238 T^{9} + 15773365923 T^{10} + 53291568588 T^{11} + 835988393919 T^{12} + 2526434931542 T^{13} + 36889202792176 T^{14} + 94969134953672 T^{15} + 1328321453739281 T^{16} + 2711654433605247 T^{17} + 37707052877627863 T^{18} + 52422659326365962 T^{19} + 778744207665303388 T^{20} + 524662411096539147 T^{21} + 9269035929372191597 T^{22} \))(\( 1 + 20 T + 353 T^{2} + 4939 T^{3} + 66889 T^{4} + 777211 T^{5} + 8552822 T^{6} + 86336962 T^{7} + 837994878 T^{8} + 7547513246 T^{9} + 65356107860 T^{10} + 532413225551 T^{11} + 4185667181033 T^{12} + 31026568483726 T^{13} + 221840360594749 T^{14} + 1495548750572759 T^{15} + 9730021269873220 T^{16} + 59553509864811326 T^{17} + 350445681136684854 T^{18} + 1913603604548750098 T^{19} + 10047095280442970014 T^{20} + 48388916244304294171 T^{21} + \)\(22\!\cdots\!37\)\( T^{22} + \)\(86\!\cdots\!11\)\( T^{23} + \)\(32\!\cdots\!41\)\( T^{24} + \)\(98\!\cdots\!20\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 - 14 T + 467 T^{2} - 5437 T^{3} + 100757 T^{4} - 1000399 T^{5} + 13451800 T^{6} - 115979622 T^{7} + 1264449536 T^{8} - 9650956448 T^{9} + 91504437556 T^{10} - 634536402369 T^{11} + 5513553490767 T^{12} - 35716045596478 T^{13} + 292218335010651 T^{14} - 1782412754254521 T^{15} + 13622906150024612 T^{16} - 76150688484771488 T^{17} + 528787097081141248 T^{18} - 2570614225612913238 T^{19} + 15801979310859356600 T^{20} - 62284532027835133039 T^{21} + \)\(33\!\cdots\!81\)\( T^{22} - \)\(95\!\cdots\!13\)\( T^{23} + \)\(43\!\cdots\!99\)\( T^{24} - \)\(68\!\cdots\!74\)\( T^{25} + \)\(26\!\cdots\!73\)\( T^{26} \))(\( 1 + 25 T + 747 T^{2} + 12771 T^{3} + 228146 T^{4} + 3026022 T^{5} + 40715179 T^{6} + 446201128 T^{7} + 4935668490 T^{8} + 46494668035 T^{9} + 443764508369 T^{10} + 3698240273937 T^{11} + 31439136761747 T^{12} + 236660635117298 T^{13} + 1826624974544354 T^{14} + 12543013661216794 T^{15} + 88312535163747323 T^{16} + 550582917262918749 T^{17} + 3501515421759935489 T^{18} + 19443860620768166255 T^{19} + \)\(10\!\cdots\!10\)\( T^{20} + \)\(52\!\cdots\!36\)\( T^{21} + \)\(25\!\cdots\!19\)\( T^{22} + \)\(99\!\cdots\!26\)\( T^{23} + \)\(39\!\cdots\!54\)\( T^{24} + \)\(11\!\cdots\!87\)\( T^{25} + \)\(36\!\cdots\!27\)\( T^{26} + \)\(65\!\cdots\!25\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 23 T + 583 T^{2} - 8895 T^{3} + 131098 T^{4} - 1478664 T^{5} + 15790091 T^{6} - 137450834 T^{7} + 1137807432 T^{8} - 7641469771 T^{9} + 49555957501 T^{10} - 238967686399 T^{11} + 1183831317141 T^{12} - 3199144855494 T^{13} + 22839602253666 T^{14} - 169554677341182 T^{15} + 3325382169849069 T^{16} - 35576792248023923 T^{17} + 391020341098447981 T^{18} - 3195628218127942103 T^{19} + 25218774818108110728 T^{20} - \)\(16\!\cdots\!58\)\( T^{21} + \)\(98\!\cdots\!51\)\( T^{22} - \)\(48\!\cdots\!12\)\( T^{23} + \)\(22\!\cdots\!02\)\( T^{24} - \)\(82\!\cdots\!15\)\( T^{25} + \)\(28\!\cdots\!03\)\( T^{26} - \)\(59\!\cdots\!79\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 + 4 T + 455 T^{2} + 2307 T^{3} + 102636 T^{4} + 596411 T^{5} + 15460643 T^{6} + 94930793 T^{7} + 1751862991 T^{8} + 10707345889 T^{9} + 158227883656 T^{10} + 928448403425 T^{11} + 11760678955121 T^{12} + 65004232748944 T^{13} + 734052901498869 T^{14} + 3770445781321590 T^{15} + 38904803779440057 T^{16} + 182596889791783696 T^{17} + 1750894600801549117 T^{18} + 7325904486705297425 T^{19} + 66170187811867562408 T^{20} + \)\(23\!\cdots\!81\)\( T^{21} + \)\(20\!\cdots\!67\)\( T^{22} + \)\(59\!\cdots\!73\)\( T^{23} + \)\(51\!\cdots\!19\)\( T^{24} + \)\(10\!\cdots\!39\)\( T^{25} + \)\(95\!\cdots\!92\)\( T^{26} + \)\(11\!\cdots\!87\)\( T^{27} + \)\(11\!\cdots\!15\)\( T^{28} + \)\(55\!\cdots\!76\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 + 4 T + 522 T^{2} + 2181 T^{3} + 134181 T^{4} + 566544 T^{5} + 22633537 T^{6} + 94094308 T^{7} + 2817526116 T^{8} + 11302357360 T^{9} + 276002257201 T^{10} + 1052212627566 T^{11} + 22136021212979 T^{12} + 79331036653689 T^{13} + 1490276223801292 T^{14} + 4980136377688208 T^{15} + 85410909915768294 T^{16} + 263947228017475024 T^{17} + 4186185912657829228 T^{18} + 11810566743891257253 T^{19} + \)\(17\!\cdots\!99\)\( T^{20} + \)\(44\!\cdots\!38\)\( T^{21} + \)\(61\!\cdots\!29\)\( T^{22} + \)\(13\!\cdots\!20\)\( T^{23} + \)\(17\!\cdots\!76\)\( T^{24} + \)\(31\!\cdots\!64\)\( T^{25} + \)\(39\!\cdots\!13\)\( T^{26} + \)\(52\!\cdots\!68\)\( T^{27} + \)\(65\!\cdots\!21\)\( T^{28} + \)\(56\!\cdots\!13\)\( T^{29} + \)\(72\!\cdots\!18\)\( T^{30} + \)\(29\!\cdots\!28\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 12 T + 142 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 54 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 218 T^{2} + 1914 T^{3} + 11587 T^{4} + 39052 T^{5} - 267955 T^{6} - 3003142 T^{7} - 15809345 T^{8} + 135940012 T^{9} + 2379726473 T^{10} + 23192628954 T^{11} + 155853497182 T^{12} + 590527470974 T^{13} + 2488651484819 T^{14} \))(\( 1 + 4 T + 250 T^{2} + 1220 T^{3} + 32675 T^{4} + 155056 T^{5} + 2821485 T^{6} + 11422380 T^{7} + 166467615 T^{8} + 539749936 T^{9} + 6710758825 T^{10} + 14783180420 T^{11} + 178731074750 T^{12} + 168722134564 T^{13} + 2488651484819 T^{14} \))(\( 1 - 18 T + 383 T^{2} - 5430 T^{3} + 70489 T^{4} - 777936 T^{5} + 7816582 T^{6} - 68796604 T^{7} + 565177146 T^{8} - 4058999636 T^{9} + 27209521942 T^{10} - 159771717744 T^{11} + 854140659529 T^{12} - 3882038943570 T^{13} + 16155144384503 T^{14} - 44795726726742 T^{15} + 146830437604321 T^{16} \))(\( 1 + 3 T + 278 T^{2} + 1530 T^{3} + 39056 T^{4} + 248645 T^{5} + 3884148 T^{6} + 21706163 T^{7} + 276278921 T^{8} + 1280663617 T^{9} + 13520719188 T^{10} + 51066461455 T^{11} + 473255651216 T^{12} + 1093834177470 T^{13} + 11726188352198 T^{14} + 7465954454457 T^{15} + 146830437604321 T^{16} \))(\( 1 + 18 T + 462 T^{2} + 6504 T^{3} + 99090 T^{4} + 1122778 T^{5} + 12813865 T^{6} + 119406708 T^{7} + 1099407148 T^{8} + 8510489392 T^{9} + 64865021732 T^{10} + 415654750548 T^{11} + 2631698779835 T^{12} + 13605106348858 T^{13} + 70841848787910 T^{14} + 274342190801064 T^{15} + 1149756985986378 T^{16} + 2642947876877778 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 8 T + 434 T^{2} + 3174 T^{3} + 88518 T^{4} + 579216 T^{5} + 11094785 T^{6} + 63448760 T^{7} + 937988716 T^{8} + 4564322772 T^{9} + 55341334244 T^{10} + 220865133560 T^{11} + 2278635848515 T^{12} + 7018569368976 T^{13} + 63283669098882 T^{14} + 133881013776534 T^{15} + 1080074744411446 T^{16} + 1174643500834568 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 17 T + 408 T^{2} - 4582 T^{3} + 70931 T^{4} - 654682 T^{5} + 8177542 T^{6} - 65029177 T^{7} + 694168569 T^{8} - 4867260348 T^{9} + 45956705970 T^{10} - 287168360532 T^{11} + 2416400788689 T^{12} - 13355627343083 T^{13} + 99090228506662 T^{14} - 468048069917918 T^{15} + 2991907431689771 T^{16} - 11403001103440658 T^{17} + 59906818542562968 T^{18} - 147270928917133963 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 22 T + 536 T^{2} + 7360 T^{3} + 110355 T^{4} + 1195828 T^{5} + 14355319 T^{6} + 134904164 T^{7} + 1388144824 T^{8} + 11482566998 T^{9} + 103304270349 T^{10} + 759728665528 T^{11} + 6094951950591 T^{12} + 39970815720038 T^{13} + 285095795808296 T^{14} + 1634682455591204 T^{15} + 10262966372996381 T^{16} + 50440663182849748 T^{17} + 274635134607200745 T^{18} + 1080672020767802560 T^{19} + 4643365758799047304 T^{20} + 11244568572614110822 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 33 T + 819 T^{2} - 13547 T^{3} + 189545 T^{4} - 2117764 T^{5} + 21683809 T^{6} - 196410121 T^{7} + 1779413859 T^{8} - 15130618243 T^{9} + 129391756201 T^{10} - 1007196369432 T^{11} + 7634113615859 T^{12} - 52669682103883 T^{13} + 365454238947561 T^{14} - 2379972340210681 T^{15} + 15502281948974891 T^{16} - 89328415645698724 T^{17} + 471711445690017355 T^{18} - 1989111938225736587 T^{19} + 7094993575478395041 T^{20} - 16866852858921166233 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 13 T + 431 T^{2} - 4385 T^{3} + 84611 T^{4} - 708392 T^{5} + 10443991 T^{6} - 74466567 T^{7} + 935911991 T^{8} - 5867708739 T^{9} + 66443897853 T^{10} - 377294478256 T^{11} + 3920189973327 T^{12} - 20425494120459 T^{13} + 192216668799589 T^{14} - 902338274769687 T^{15} + 7466662944437309 T^{16} - 29880352587015272 T^{17} + 210567290782020409 T^{18} - 643851468894947585 T^{19} + 3733751197840278709 T^{20} - 6644517792908338213 T^{21} + 30155888444737842659 T^{22} \))(\( 1 - 11 T + 511 T^{2} - 4223 T^{3} + 115770 T^{4} - 715499 T^{5} + 15899650 T^{6} - 71327416 T^{7} + 1546469998 T^{8} - 4840714717 T^{9} + 119234314570 T^{10} - 262675732993 T^{11} + 7891155569190 T^{12} - 14363346572810 T^{13} + 465578178582210 T^{14} - 914374226548633 T^{15} + 24488224292072030 T^{16} - 58656687723901837 T^{17} + 1105608979244681402 T^{18} - 3008628470113601656 T^{19} + 39568687580602413350 T^{20} - \)\(10\!\cdots\!79\)\( T^{21} + \)\(10\!\cdots\!30\)\( T^{22} - \)\(21\!\cdots\!23\)\( T^{23} + \)\(15\!\cdots\!49\)\( T^{24} - \)\(19\!\cdots\!91\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 + 18 T + 404 T^{2} + 5074 T^{3} + 70414 T^{4} + 726766 T^{5} + 8063133 T^{6} + 74418064 T^{7} + 731047613 T^{8} + 6232339186 T^{9} + 56165268622 T^{10} + 444449021790 T^{11} + 3737917439335 T^{12} + 27766336758812 T^{13} + 220537128920765 T^{14} + 1547127044850990 T^{15} + 11535166704317738 T^{16} + 75519503791208146 T^{17} + 522643702259648287 T^{18} + 3138993652050091024 T^{19} + 20066327912743077927 T^{20} + \)\(10\!\cdots\!86\)\( T^{21} + \)\(60\!\cdots\!46\)\( T^{22} + \)\(25\!\cdots\!74\)\( T^{23} + \)\(12\!\cdots\!36\)\( T^{24} + \)\(32\!\cdots\!58\)\( T^{25} + \)\(10\!\cdots\!79\)\( T^{26} \))(\( 1 + 15 T + 560 T^{2} + 6550 T^{3} + 136981 T^{4} + 1267204 T^{5} + 19282962 T^{6} + 137323363 T^{7} + 1700253300 T^{8} + 8284425279 T^{9} + 94074448114 T^{10} + 168969671508 T^{11} + 3147860092846 T^{12} - 11769450090153 T^{13} + 101175439645784 T^{14} - 694397555319027 T^{15} + 10957700983196926 T^{16} + 34702822164641532 T^{17} + 1139934048673107154 T^{18} + 5922736935206954421 T^{19} + 71717591518871265300 T^{20} + \)\(34\!\cdots\!97\)\( T^{21} + \)\(28\!\cdots\!02\)\( T^{22} + \)\(10\!\cdots\!56\)\( T^{23} + \)\(70\!\cdots\!81\)\( T^{24} + \)\(19\!\cdots\!50\)\( T^{25} + \)\(99\!\cdots\!60\)\( T^{26} + \)\(15\!\cdots\!85\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 - 17 T + 580 T^{2} - 8752 T^{3} + 170263 T^{4} - 2230258 T^{5} + 32521830 T^{6} - 372275301 T^{7} + 4474309832 T^{8} - 45286808221 T^{9} + 468614715810 T^{10} - 4231568739026 T^{11} + 38580013845656 T^{12} - 312243073704475 T^{13} + 2539141158414184 T^{14} - 18422341348564025 T^{15} + 134297028196728536 T^{16} - 869075356052420854 T^{17} + 5678373681382177410 T^{18} - 32376639621345862079 T^{19} + \)\(18\!\cdots\!12\)\( T^{20} - \)\(92\!\cdots\!19\)\( T^{21} + \)\(47\!\cdots\!30\)\( T^{22} - \)\(19\!\cdots\!62\)\( T^{23} + \)\(87\!\cdots\!63\)\( T^{24} - \)\(26\!\cdots\!68\)\( T^{25} + \)\(10\!\cdots\!80\)\( T^{26} - \)\(17\!\cdots\!43\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 578 T^{2} - 748 T^{3} + 160047 T^{4} - 421560 T^{5} + 28376653 T^{6} - 113351700 T^{7} + 3637535873 T^{8} - 19255315512 T^{9} + 361804478641 T^{10} - 2302430249124 T^{11} + 29333849590856 T^{12} - 204151070394960 T^{13} + 2008769064485109 T^{14} - 13762199760643000 T^{15} + 118517374804621431 T^{16} - 710649876044855760 T^{17} + 6024556695120414424 T^{18} - 27899378505955441764 T^{19} + \)\(25\!\cdots\!59\)\( T^{20} - \)\(81\!\cdots\!92\)\( T^{21} + \)\(90\!\cdots\!87\)\( T^{22} - \)\(16\!\cdots\!00\)\( T^{23} + \)\(24\!\cdots\!67\)\( T^{24} - \)\(21\!\cdots\!60\)\( T^{25} + \)\(48\!\cdots\!73\)\( T^{26} - \)\(13\!\cdots\!88\)\( T^{27} + \)\(60\!\cdots\!62\)\( T^{28} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 - 25 T + 802 T^{2} - 14514 T^{3} + 281564 T^{4} - 4088531 T^{5} + 60700876 T^{6} - 747336865 T^{7} + 9264545463 T^{8} - 100050839425 T^{9} + 1082336978224 T^{10} - 10476750020545 T^{11} + 101396686876872 T^{12} - 891235490171284 T^{13} + 7825215794091218 T^{14} - 62864764090533641 T^{15} + 504244447350322856 T^{16} - 3709021081341484819 T^{17} + 27239576179231529858 T^{18} - \)\(18\!\cdots\!36\)\( T^{19} + \)\(12\!\cdots\!92\)\( T^{20} - \)\(74\!\cdots\!55\)\( T^{21} + \)\(45\!\cdots\!84\)\( T^{22} - \)\(24\!\cdots\!75\)\( T^{23} + \)\(13\!\cdots\!23\)\( T^{24} - \)\(64\!\cdots\!35\)\( T^{25} + \)\(31\!\cdots\!76\)\( T^{26} - \)\(12\!\cdots\!29\)\( T^{27} + \)\(50\!\cdots\!84\)\( T^{28} - \)\(15\!\cdots\!06\)\( T^{29} + \)\(49\!\cdots\!22\)\( T^{30} - \)\(91\!\cdots\!75\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 - 11 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 + 110 T^{2} + 3721 T^{4} \))(\( 1 + 7 T + 96 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 + 25 T + 476 T^{2} + 6802 T^{3} + 82971 T^{4} + 875136 T^{5} + 8162450 T^{6} + 67731995 T^{7} + 497909450 T^{8} + 3256381056 T^{9} + 18832840551 T^{10} + 94179410482 T^{11} + 402027839276 T^{12} + 1288009359025 T^{13} + 3142742836021 T^{14} \))(\( 1 + 6 T + 236 T^{2} + 737 T^{3} + 27478 T^{4} + 61263 T^{5} + 2346150 T^{6} + 4526822 T^{7} + 143115150 T^{8} + 227959623 T^{9} + 6236983918 T^{10} + 10204384817 T^{11} + 199324727036 T^{12} + 309122246166 T^{13} + 3142742836021 T^{14} \))(\( 1 + 6 T + 249 T^{2} + 1447 T^{3} + 24214 T^{4} + 149192 T^{5} + 1153380 T^{6} + 9862995 T^{7} + 45847840 T^{8} + 601642695 T^{9} + 4291726980 T^{10} + 33863749352 T^{11} + 335263193974 T^{12} + 1222130847547 T^{13} + 12828573215889 T^{14} + 18856457016126 T^{15} + 191707312997281 T^{16} \))(\( 1 + 25 T + 622 T^{2} + 9765 T^{3} + 144358 T^{4} + 1667959 T^{5} + 18111662 T^{6} + 163504683 T^{7} + 1390117321 T^{8} + 9973785663 T^{9} + 67393494302 T^{10} + 378595001779 T^{11} + 1998757915078 T^{12} + 8247482879265 T^{13} + 32045672852542 T^{14} + 78568570900525 T^{15} + 191707312997281 T^{16} \))(\( 1 - 3 T + 78 T^{2} - 722 T^{3} + 10516 T^{4} - 38291 T^{5} + 821596 T^{6} - 3900255 T^{7} + 53770085 T^{8} - 231528338 T^{9} + 3279975185 T^{10} - 14512848855 T^{11} + 186486681676 T^{12} - 530171097731 T^{13} + 8881774701316 T^{14} - 37197710288642 T^{15} + 245133941209638 T^{16} - 575121938991843 T^{17} + 11694146092834141 T^{18} \))(\( 1 - T + 322 T^{2} - 528 T^{3} + 51422 T^{4} - 102213 T^{5} + 5476874 T^{6} - 11246901 T^{7} + 432854785 T^{8} - 823388674 T^{9} + 26404141885 T^{10} - 41849718621 T^{11} + 1243146337394 T^{12} - 1415224946133 T^{13} + 43430830990022 T^{14} - 27202757662608 T^{15} + 1011963193198762 T^{16} - 191707312997281 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 15 T + 506 T^{2} - 6501 T^{3} + 118059 T^{4} - 1317404 T^{5} + 16922778 T^{6} - 164894898 T^{7} + 1666751189 T^{8} - 14126263266 T^{9} + 118675938574 T^{10} - 861702059226 T^{11} + 6201981174269 T^{12} - 37428008842938 T^{13} + 234310093466298 T^{14} - 1112674545322604 T^{15} + 6082443876685299 T^{16} - 20430971176972521 T^{17} + 97003900376624186 T^{18} - 175412191392512115 T^{19} + 713342911662882601 T^{20} \))(\( 1 + 3 T + 566 T^{2} + 1590 T^{3} + 151019 T^{4} + 390736 T^{5} + 25025566 T^{6} + 58695465 T^{7} + 2858843415 T^{8} + 5972112391 T^{9} + 236274913869 T^{10} + 430204279246 T^{11} + 14412769746009 T^{12} + 22222230206911 T^{13} + 648903137180115 T^{14} + 812688075811065 T^{15} + 21136500474031366 T^{16} + 20130864996319696 T^{17} + 474613880353055399 T^{18} + 304814627665676790 T^{19} + 6618886688544123806 T^{20} + 2140028734988647803 T^{21} + 43513917611435838661 T^{22} \))(\( 1 + 46 T + 1386 T^{2} + 30992 T^{3} + 568116 T^{4} + 8851824 T^{5} + 120631161 T^{6} + 1460059638 T^{7} + 15884689399 T^{8} + 156431091821 T^{9} + 1401721025373 T^{10} + 11456643711268 T^{11} + 85504982547753 T^{12} + 582080092665941 T^{13} + 3605522684474419 T^{14} + 20215753598265558 T^{15} + 101884632365935461 T^{16} + 456049286257684464 T^{17} + 1785442489028906436 T^{18} + 5941393044411732752 T^{19} + 16208086484668119426 T^{20} + 32813773936492599646 T^{21} + 43513917611435838661 T^{22} \))(\( 1 + 15 T + 285 T^{2} + 2494 T^{3} + 23565 T^{4} + 127527 T^{5} + 917971 T^{6} + 6239164 T^{7} + 78946845 T^{8} + 850337168 T^{9} + 8591761329 T^{10} + 71763547872 T^{11} + 524097441069 T^{12} + 3164104602128 T^{13} + 17919433824945 T^{14} + 86386472716924 T^{15} + 775314911025271 T^{16} + 6570238781135247 T^{17} + 74058734930834865 T^{18} + 478118038615218814 T^{19} + 3332831636457730185 T^{20} + 10700143674943239015 T^{21} + 43513917611435838661 T^{22} \))(\( 1 - 32 T + 694 T^{2} - 11936 T^{3} + 172631 T^{4} - 2195720 T^{5} + 25304257 T^{6} - 267790808 T^{7} + 2656061805 T^{8} - 24887936581 T^{9} + 222367641534 T^{10} - 1905719992180 T^{11} + 15722595823330 T^{12} - 124948170651518 T^{13} + 959078345223130 T^{14} - 7091184090901780 T^{15} + 50473229643028854 T^{16} - 344594412718609621 T^{17} + 2243299975730383305 T^{18} - 13796682678594673688 T^{19} + 79524772407584241397 T^{20} - \)\(42\!\cdots\!20\)\( T^{21} + \)\(20\!\cdots\!71\)\( T^{22} - \)\(85\!\cdots\!36\)\( T^{23} + \)\(30\!\cdots\!34\)\( T^{24} - \)\(84\!\cdots\!72\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 - 27 T + 688 T^{2} - 12114 T^{3} + 194286 T^{4} - 2662979 T^{5} + 33759920 T^{6} - 388606027 T^{7} + 4200761688 T^{8} - 42156739283 T^{9} + 401063879675 T^{10} - 3579136545307 T^{11} + 30398370126354 T^{12} - 243275074119710 T^{13} + 1854300577707594 T^{14} - 13317967085087347 T^{15} + 91033880472511175 T^{16} - 583695509190872003 T^{17} + 3547947783067316088 T^{18} - 20021127989980873747 T^{19} + \)\(10\!\cdots\!20\)\( T^{20} - \)\(51\!\cdots\!99\)\( T^{21} + \)\(22\!\cdots\!26\)\( T^{22} - \)\(86\!\cdots\!14\)\( T^{23} + \)\(29\!\cdots\!68\)\( T^{24} - \)\(71\!\cdots\!67\)\( T^{25} + \)\(16\!\cdots\!81\)\( T^{26} \))(\( 1 - 5 T + 484 T^{2} - 1395 T^{3} + 114105 T^{4} - 153630 T^{5} + 18088242 T^{6} - 4720422 T^{7} + 2176595692 T^{8} + 1032475357 T^{9} + 209776960116 T^{10} + 189743860071 T^{11} + 16680039251626 T^{12} + 17547061462080 T^{13} + 1110161574369788 T^{14} + 1070370749186880 T^{15} + 62066426055300346 T^{16} + 43068251102775651 T^{17} + 2904538435229477556 T^{18} + 872024867395854457 T^{19} + \)\(11\!\cdots\!12\)\( T^{20} - 14835072423495920862 T^{21} + \)\(34\!\cdots\!02\)\( T^{22} - \)\(17\!\cdots\!30\)\( T^{23} + \)\(81\!\cdots\!05\)\( T^{24} - \)\(60\!\cdots\!95\)\( T^{25} + \)\(12\!\cdots\!64\)\( T^{26} - \)\(80\!\cdots\!05\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 19 T + 634 T^{2} - 9213 T^{3} + 180663 T^{4} - 2145778 T^{5} + 31850128 T^{6} - 324157802 T^{7} + 4022296628 T^{8} - 36300455023 T^{9} + 396176188020 T^{10} - 3238283036225 T^{11} + 31854886040476 T^{12} - 237756128161924 T^{13} + 2128070437203460 T^{14} - 14503123817877364 T^{15} + 118532030956611196 T^{16} - 735028721845386725 T^{17} + 5485392507311024820 T^{18} - 30659230037042669923 T^{19} + \)\(20\!\cdots\!08\)\( T^{20} - \)\(10\!\cdots\!42\)\( T^{21} + \)\(61\!\cdots\!68\)\( T^{22} - \)\(25\!\cdots\!98\)\( T^{23} + \)\(12\!\cdots\!63\)\( T^{24} - \)\(40\!\cdots\!93\)\( T^{25} + \)\(16\!\cdots\!14\)\( T^{26} - \)\(30\!\cdots\!39\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 27 T + 778 T^{2} - 14074 T^{3} + 243587 T^{4} - 3377270 T^{5} + 44385184 T^{6} - 509280305 T^{7} + 5601891960 T^{8} - 56289113226 T^{9} + 550072370729 T^{10} - 5041481930878 T^{11} + 45271324307006 T^{12} - 385342114283597 T^{13} + 3209388871019067 T^{14} - 25367691691114382 T^{15} + 195772721132163087 T^{16} - 1433858007249264437 T^{17} + 10275730462528528886 T^{18} - 69803557219309778398 T^{19} + \)\(46\!\cdots\!29\)\( T^{20} - \)\(29\!\cdots\!86\)\( T^{21} + \)\(17\!\cdots\!60\)\( T^{22} - \)\(97\!\cdots\!05\)\( T^{23} + \)\(51\!\cdots\!44\)\( T^{24} - \)\(24\!\cdots\!70\)\( T^{25} + \)\(10\!\cdots\!07\)\( T^{26} - \)\(37\!\cdots\!54\)\( T^{27} + \)\(12\!\cdots\!18\)\( T^{28} - \)\(26\!\cdots\!07\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 - 16 T + 501 T^{2} - 6138 T^{3} + 110984 T^{4} - 1108804 T^{5} + 15407443 T^{6} - 135517692 T^{7} + 1654430857 T^{8} - 13756502379 T^{9} + 155435721271 T^{10} - 1240500611313 T^{11} + 12881114760688 T^{12} - 96639567589529 T^{13} + 923670278973953 T^{14} - 6520084675094321 T^{15} + 58930278138494940 T^{16} - 397725165180753581 T^{17} + 3436977108062079113 T^{18} - 21935345691038881949 T^{19} + \)\(17\!\cdots\!08\)\( T^{20} - \)\(10\!\cdots\!13\)\( T^{21} + \)\(80\!\cdots\!31\)\( T^{22} - \)\(43\!\cdots\!59\)\( T^{23} + \)\(31\!\cdots\!17\)\( T^{24} - \)\(15\!\cdots\!72\)\( T^{25} + \)\(10\!\cdots\!43\)\( T^{26} - \)\(48\!\cdots\!44\)\( T^{27} + \)\(29\!\cdots\!64\)\( T^{28} - \)\(99\!\cdots\!78\)\( T^{29} + \)\(49\!\cdots\!41\)\( T^{30} - \)\(96\!\cdots\!16\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 4 T - 54 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 27 T + 310 T^{2} + 1806 T^{3} + 7540 T^{4} + 25366 T^{5} - 312202 T^{6} - 5769302 T^{7} - 20917534 T^{8} + 113867974 T^{9} + 2267753020 T^{10} + 36392924526 T^{11} + 418538783170 T^{12} + 2442376318563 T^{13} + 6060711605323 T^{14} \))(\( 1 + 27 T + 616 T^{2} + 8902 T^{3} + 117340 T^{4} + 1197782 T^{5} + 11811328 T^{6} + 97048222 T^{7} + 791358976 T^{8} + 5376843398 T^{9} + 35291530420 T^{10} + 179385279142 T^{11} + 831677065912 T^{12} + 2442376318563 T^{13} + 6060711605323 T^{14} \))(\( 1 + T + 319 T^{2} + 389 T^{3} + 51208 T^{4} + 57348 T^{5} + 5482338 T^{6} + 5139684 T^{7} + 426506420 T^{8} + 344358828 T^{9} + 24610215282 T^{10} + 17248156524 T^{11} + 1031898604168 T^{12} + 525198666623 T^{13} + 28856223911911 T^{14} + 6060711605323 T^{15} + 406067677556641 T^{16} \))(\( 1 + 16 T + 355 T^{2} + 3136 T^{3} + 46417 T^{4} + 328297 T^{5} + 4643399 T^{6} + 30581507 T^{7} + 370932379 T^{8} + 2048960969 T^{9} + 20844218111 T^{10} + 98739590611 T^{11} + 935354583457 T^{12} + 4233992335552 T^{13} + 32112725669995 T^{14} + 96971385685168 T^{15} + 406067677556641 T^{16} \))(\( 1 + 11 T + 592 T^{2} + 5506 T^{3} + 155923 T^{4} + 1228825 T^{5} + 24057298 T^{6} + 159808598 T^{7} + 2400820498 T^{8} + 13250637048 T^{9} + 160854973366 T^{10} + 717380796422 T^{11} + 7235545118374 T^{12} + 24762201262825 T^{13} + 210515557058761 T^{14} + 498063852222514 T^{15} + 3587941270351216 T^{16} + 4466744453123051 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 31 T + 710 T^{2} + 11762 T^{3} + 172831 T^{4} + 2153989 T^{5} + 24602898 T^{6} + 249112098 T^{7} + 2347871608 T^{8} + 19909359776 T^{9} + 157307397736 T^{10} + 1118264207922 T^{11} + 7399641411174 T^{12} + 43405292971669 T^{13} + 233343472367917 T^{14} + 1063971491071778 T^{15} + 4303105239779330 T^{16} + 12588098004255871 T^{17} + 27206534396294947 T^{18} \))(\( 1 - 6 T + 425 T^{2} - 2378 T^{3} + 84376 T^{4} - 431467 T^{5} + 10645990 T^{6} - 48780615 T^{7} + 985447984 T^{8} - 4039004968 T^{9} + 72796485384 T^{10} - 270613332856 T^{11} + 4423676000176 T^{12} - 14671404109245 T^{13} + 214528632654790 T^{14} - 582534429541969 T^{15} + 7632516453891544 T^{16} - 14412372197458094 T^{17} + 172578762961572425 T^{18} - 163239206377769682 T^{19} + 1822837804551761449 T^{20} \))(\( 1 - 7 T + 354 T^{2} - 2998 T^{3} + 69814 T^{4} - 582428 T^{5} + 9751964 T^{6} - 75220374 T^{7} + 1029034533 T^{8} - 7284612909 T^{9} + 85763684254 T^{10} - 549395363976 T^{11} + 5746166845018 T^{12} - 32700627348501 T^{13} + 309495513248679 T^{14} - 1515774858139254 T^{15} + 13166371438960148 T^{16} - 52685494609926332 T^{17} + 423122520014019922 T^{18} - 1217390897314809718 T^{19} + 9631113176288411238 T^{20} - 12759864631862330143 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + 8 T + 426 T^{2} + 3010 T^{3} + 87809 T^{4} + 544863 T^{5} + 11976806 T^{6} + 66384496 T^{7} + 1236433040 T^{8} + 6242529789 T^{9} + 102140174286 T^{10} + 468545510852 T^{11} + 6843391677162 T^{12} + 28022716222821 T^{13} + 371873310409520 T^{14} + 1337722011420016 T^{15} + 16170186482268242 T^{16} + 49287425483747847 T^{17} + 532185025351807307 T^{18} + 1222263709445489410 T^{19} + 11589983652821647422 T^{20} + 14582702436414091592 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 - 42 T + 1186 T^{2} - 25314 T^{3} + 449405 T^{4} - 6880755 T^{5} + 93234376 T^{6} - 1134380824 T^{7} + 12532945168 T^{8} - 126506926955 T^{9} + 1172672758832 T^{10} - 10000487893388 T^{11} + 78569074841744 T^{12} - 567889595100995 T^{13} + 3769446187563184 T^{14} - 22859045244503704 T^{15} + 125878071873078232 T^{16} - 622421965401257595 T^{17} + 2723714098990182815 T^{18} - 10279197189668810274 T^{19} + 32266949794005807142 T^{20} - 76559187791173980858 T^{21} + \)\(12\!\cdots\!83\)\( T^{22} \))(\( 1 + 8 T + 444 T^{2} + 2336 T^{3} + 96590 T^{4} + 341631 T^{5} + 14364888 T^{6} + 33287522 T^{7} + 1655772395 T^{8} + 2562235016 T^{9} + 157383904130 T^{10} + 180656934294 T^{11} + 12550873712752 T^{12} + 12269476454114 T^{13} + 840908538754384 T^{14} + 810968978045766 T^{15} + 47335255157851190 T^{16} + 51631907837852936 T^{17} + 2235499881967021265 T^{18} + 3011135386534995218 T^{19} + 87061443410765098824 T^{20} + \)\(13\!\cdots\!71\)\( T^{21} + \)\(26\!\cdots\!30\)\( T^{22} + \)\(42\!\cdots\!64\)\( T^{23} + \)\(54\!\cdots\!52\)\( T^{24} + \)\(65\!\cdots\!88\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 - 7 T + 676 T^{2} - 4862 T^{3} + 220857 T^{4} - 1588027 T^{5} + 46077340 T^{6} - 322735754 T^{7} + 6837662299 T^{8} - 45472931329 T^{9} + 761192968416 T^{10} - 4680661374136 T^{11} + 65346039674523 T^{12} - 360947855138394 T^{13} + 4378184658193041 T^{14} - 21011488908496504 T^{15} + 228938680759701408 T^{16} - 916330541435369809 T^{17} + 9231699543067240993 T^{18} - 29194154174932370426 T^{19} + \)\(27\!\cdots\!20\)\( T^{20} - \)\(64\!\cdots\!07\)\( T^{21} + \)\(60\!\cdots\!79\)\( T^{22} - \)\(88\!\cdots\!38\)\( T^{23} + \)\(82\!\cdots\!08\)\( T^{24} - \)\(57\!\cdots\!27\)\( T^{25} + \)\(54\!\cdots\!87\)\( T^{26} \))(\( 1 - 12 T + 437 T^{2} - 3166 T^{3} + 78638 T^{4} - 329881 T^{5} + 9255500 T^{6} - 18751661 T^{7} + 899329555 T^{8} - 314078824 T^{9} + 76407228101 T^{10} + 59489985858 T^{11} + 5971432125866 T^{12} + 6394941210784 T^{13} + 427550909737212 T^{14} + 428461061122528 T^{15} + 26805758813012474 T^{16} + 17892386616609654 T^{17} + 1539691298737851221 T^{18} - 424045705859434168 T^{19} + 81351896582066704795 T^{20} - \)\(11\!\cdots\!03\)\( T^{21} + \)\(37\!\cdots\!00\)\( T^{22} - \)\(89\!\cdots\!07\)\( T^{23} + \)\(14\!\cdots\!62\)\( T^{24} - \)\(38\!\cdots\!78\)\( T^{25} + \)\(35\!\cdots\!57\)\( T^{26} - \)\(65\!\cdots\!44\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 14 T + 623 T^{2} - 7802 T^{3} + 190658 T^{4} - 2138465 T^{5} + 38023192 T^{6} - 384239189 T^{7} + 5541210269 T^{8} - 50750117700 T^{9} + 626505252975 T^{10} - 5219033464904 T^{11} + 56813821400720 T^{12} - 430467641987312 T^{13} + 4203284653728436 T^{14} - 28841332013149904 T^{15} + 255037244267832080 T^{16} - 1569692162004921752 T^{17} + 12624783159834834975 T^{18} - 68519008089975093900 T^{19} + \)\(50\!\cdots\!61\)\( T^{20} - \)\(23\!\cdots\!47\)\( T^{21} + \)\(15\!\cdots\!72\)\( T^{22} - \)\(58\!\cdots\!55\)\( T^{23} + \)\(34\!\cdots\!42\)\( T^{24} - \)\(95\!\cdots\!66\)\( T^{25} + \)\(50\!\cdots\!03\)\( T^{26} - \)\(76\!\cdots\!18\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 31 T + 972 T^{2} - 18828 T^{3} + 353546 T^{4} - 5166986 T^{5} + 73443568 T^{6} - 883588506 T^{7} + 10429032722 T^{8} - 108699508924 T^{9} + 1121802001530 T^{10} - 10491731528916 T^{11} + 98121589794852 T^{12} - 846817209762099 T^{13} + 7378119188266879 T^{14} - 59974344854106060 T^{15} + 494333985613880893 T^{16} - 3801362454622062411 T^{17} + 29511343711469072076 T^{18} - \)\(21\!\cdots\!36\)\( T^{19} + \)\(15\!\cdots\!10\)\( T^{20} - \)\(98\!\cdots\!56\)\( T^{21} + \)\(63\!\cdots\!06\)\( T^{22} - \)\(35\!\cdots\!46\)\( T^{23} + \)\(19\!\cdots\!96\)\( T^{24} - \)\(94\!\cdots\!14\)\( T^{25} + \)\(43\!\cdots\!18\)\( T^{26} - \)\(15\!\cdots\!08\)\( T^{27} + \)\(53\!\cdots\!64\)\( T^{28} - \)\(11\!\cdots\!99\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 - 26 T + 883 T^{2} - 16352 T^{3} + 330165 T^{4} - 4858607 T^{5} + 74180951 T^{6} - 919478187 T^{7} + 11630559083 T^{8} - 125983564281 T^{9} + 1387082143765 T^{10} - 13489663912393 T^{11} + 133629400305727 T^{12} - 1192609917035526 T^{13} + 10892539121359873 T^{14} - 90712180196425380 T^{15} + 775969679040157760 T^{16} - 6077716073160500460 T^{17} + 48896608115784469897 T^{18} - \)\(35\!\cdots\!38\)\( T^{19} + \)\(26\!\cdots\!67\)\( T^{20} - \)\(18\!\cdots\!51\)\( T^{21} + \)\(12\!\cdots\!85\)\( T^{22} - \)\(76\!\cdots\!63\)\( T^{23} + \)\(47\!\cdots\!03\)\( T^{24} - \)\(25\!\cdots\!89\)\( T^{25} + \)\(13\!\cdots\!99\)\( T^{26} - \)\(59\!\cdots\!81\)\( T^{27} + \)\(27\!\cdots\!65\)\( T^{28} - \)\(89\!\cdots\!24\)\( T^{29} + \)\(32\!\cdots\!07\)\( T^{30} - \)\(63\!\cdots\!18\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 - 4 T + 71 T^{2} \))(\( 1 - 14 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 4 T + 98 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 14 T + 174 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 - 9 T + 209 T^{2} - 1743 T^{3} + 26742 T^{4} - 219109 T^{5} + 2501559 T^{6} - 17900666 T^{7} + 177610689 T^{8} - 1104528469 T^{9} + 9571255962 T^{10} - 44292559983 T^{11} + 377083934359 T^{12} - 1152902555289 T^{13} + 9095120158391 T^{14} \))(\( 1 + 15 T + 275 T^{2} + 1789 T^{3} + 13240 T^{4} - 108047 T^{5} - 1487801 T^{6} - 22918594 T^{7} - 105633871 T^{8} - 544664927 T^{9} + 4738741640 T^{10} + 45461497309 T^{11} + 496163071525 T^{12} + 1921504258815 T^{13} + 9095120158391 T^{14} \))(\( 1 - 2 T + 224 T^{2} + 226 T^{3} + 28848 T^{4} + 63964 T^{5} + 3005322 T^{6} + 6546225 T^{7} + 242074075 T^{8} + 464781975 T^{9} + 15149828202 T^{10} + 22893419204 T^{11} + 733076173488 T^{12} + 407755833326 T^{13} + 28694463598304 T^{14} - 18190240316782 T^{15} + 645753531245761 T^{16} \))(\( 1 - 4 T + 290 T^{2} - 984 T^{3} + 35558 T^{4} - 112002 T^{5} + 2586480 T^{6} - 8992305 T^{7} + 165665831 T^{8} - 638453655 T^{9} + 13038445680 T^{10} - 40086747822 T^{11} + 903588552998 T^{12} - 1775361681384 T^{13} + 37149082337090 T^{14} - 36380480633564 T^{15} + 645753531245761 T^{16} \))(\( 1 + 7 T + 429 T^{2} + 2129 T^{3} + 88109 T^{4} + 345574 T^{5} + 11853972 T^{6} + 38653381 T^{7} + 1138791735 T^{8} + 3160566394 T^{9} + 80854213185 T^{10} + 194851693621 T^{11} + 4242666972492 T^{12} + 8781616249894 T^{13} + 158968843887259 T^{14} + 272725504467809 T^{15} + 3901806547949739 T^{16} + 4520274718720327 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 41 T + 1221 T^{2} + 25345 T^{3} + 442883 T^{4} + 6378354 T^{5} + 81346034 T^{6} + 901238387 T^{7} + 9017351779 T^{8} + 79756582786 T^{9} + 640231976309 T^{10} + 4543142708867 T^{11} + 29114640374974 T^{12} + 162084697153074 T^{13} + 799062507658933 T^{14} + 3246701695977745 T^{15} + 11105141713395411 T^{16} + 26475894781076201 T^{17} + 45848500718449031 T^{18} \))(\( 1 - 5 T + 203 T^{2} - 1597 T^{3} + 30523 T^{4} - 211048 T^{5} + 3363252 T^{6} - 22874171 T^{7} + 301261848 T^{8} - 1885892563 T^{9} + 23629742275 T^{10} - 133898371973 T^{11} + 1518660975768 T^{12} - 8186917416781 T^{13} + 85465886946612 T^{14} - 380778996069848 T^{15} + 3910004966120683 T^{16} - 14524906892950427 T^{17} + 131087966842889483 T^{18} - 229242503592245155 T^{19} + 3255243551009881201 T^{20} \))(\( 1 + 22 T + 693 T^{2} + 11050 T^{3} + 208711 T^{4} + 2685124 T^{5} + 38469515 T^{6} + 418258729 T^{7} + 4928447097 T^{8} + 46247583092 T^{9} + 464597996653 T^{10} + 3790323046254 T^{11} + 32986457762363 T^{12} + 233134066366772 T^{13} + 1763945428934367 T^{14} + 10628657396813449 T^{15} + 69407828081734765 T^{16} + 343965146763091204 T^{17} + 1898251623377944001 T^{18} + 7135576520265659050 T^{19} + 31773010997885178483 T^{20} + 71615358122217386422 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 + 16 T + 559 T^{2} + 7878 T^{3} + 156771 T^{4} + 1898266 T^{5} + 28083769 T^{6} + 294794309 T^{7} + 3550371835 T^{8} + 32542334196 T^{9} + 332874210419 T^{10} + 2665459120414 T^{11} + 23634068939749 T^{12} + 164045906682036 T^{13} + 1270717133836685 T^{14} + 7491218940923429 T^{15} + 50669560316503919 T^{16} + 243168413557580986 T^{17} + 1425851082351115461 T^{18} + 5087246319154105158 T^{19} + 25629311901613008329 T^{20} + 52083896816158099216 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 - 17 T + 584 T^{2} - 7240 T^{3} + 148904 T^{4} - 1490125 T^{5} + 23717917 T^{6} - 202909857 T^{7} + 2742475892 T^{8} - 20686360128 T^{9} + 245929837509 T^{10} - 1652045608082 T^{11} + 17461018463139 T^{12} - 104279941405248 T^{13} + 981562288981612 T^{14} - 5156280557839617 T^{15} + 42792561995981867 T^{16} - 190885435577780125 T^{17} + 1354299772065053464 T^{18} - 4675255566219309640 T^{19} + 26775524419574234104 T^{20} - 55339140367167980417 T^{21} + \)\(23\!\cdots\!71\)\( T^{22} \))(\( 1 - 10 T + 529 T^{2} - 5422 T^{3} + 144314 T^{4} - 1489418 T^{5} + 26524082 T^{6} - 269947631 T^{7} + 3641517730 T^{8} - 35756608780 T^{9} + 392808259080 T^{10} - 3634140116695 T^{11} + 34179135083898 T^{12} - 290128563633624 T^{13} + 2426718590956758 T^{14} - 18319700328259495 T^{15} + 140590396815581880 T^{16} - 908635535959159180 T^{17} + 6570133170652893230 T^{18} - 34580368174901341151 T^{19} + \)\(24\!\cdots\!62\)\( T^{20} - \)\(96\!\cdots\!98\)\( T^{21} + \)\(66\!\cdots\!34\)\( T^{22} - \)\(17\!\cdots\!22\)\( T^{23} + \)\(12\!\cdots\!59\)\( T^{24} - \)\(16\!\cdots\!10\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 + 4 T + 463 T^{2} + 1422 T^{3} + 104102 T^{4} + 244394 T^{5} + 15904186 T^{6} + 30041889 T^{7} + 1903709248 T^{8} + 3104152702 T^{9} + 188136822592 T^{10} + 274138842765 T^{11} + 15651307579102 T^{12} + 20821794300944 T^{13} + 1111242838116242 T^{14} + 1381933906378365 T^{15} + 67336238310725312 T^{16} + 78881738238512062 T^{17} + 3434728101011738048 T^{18} + 3848374510423166769 T^{19} + \)\(14\!\cdots\!26\)\( T^{20} + \)\(15\!\cdots\!34\)\( T^{21} + \)\(47\!\cdots\!62\)\( T^{22} + \)\(46\!\cdots\!22\)\( T^{23} + \)\(10\!\cdots\!73\)\( T^{24} + \)\(65\!\cdots\!64\)\( T^{25} + \)\(11\!\cdots\!11\)\( T^{26} \))(\( 1 + 20 T + 540 T^{2} + 6108 T^{3} + 98941 T^{4} + 753722 T^{5} + 11274086 T^{6} + 71021513 T^{7} + 1168318484 T^{8} + 6327458855 T^{9} + 104272421074 T^{10} + 452229063607 T^{11} + 8084113395522 T^{12} + 31407582163687 T^{13} + 597219392168944 T^{14} + 2229938333621777 T^{15} + 40752015626826402 T^{16} + 161857756384644977 T^{17} + 2649737501430165394 T^{18} + 11416186983435853105 T^{19} + \)\(14\!\cdots\!64\)\( T^{20} + \)\(64\!\cdots\!83\)\( T^{21} + \)\(72\!\cdots\!46\)\( T^{22} + \)\(34\!\cdots\!82\)\( T^{23} + \)\(32\!\cdots\!41\)\( T^{24} + \)\(14\!\cdots\!68\)\( T^{25} + \)\(88\!\cdots\!40\)\( T^{26} + \)\(23\!\cdots\!20\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 - 3 T + 553 T^{2} - 1007 T^{3} + 151147 T^{4} - 119604 T^{5} + 27425644 T^{6} + 2059557 T^{7} + 3737160277 T^{8} + 2747443072 T^{9} + 408343666308 T^{10} + 469372185440 T^{11} + 37097288140127 T^{12} + 48211680273261 T^{13} + 2854121368417726 T^{14} + 3423029299401531 T^{15} + 187007429514380207 T^{16} + 167993468263015840 T^{17} + 10376698986589343748 T^{18} + 4957017430704006272 T^{19} + \)\(47\!\cdots\!17\)\( T^{20} + 18731918388055292787 T^{21} + \)\(17\!\cdots\!84\)\( T^{22} - \)\(54\!\cdots\!24\)\( T^{23} + \)\(49\!\cdots\!47\)\( T^{24} - \)\(23\!\cdots\!97\)\( T^{25} + \)\(90\!\cdots\!73\)\( T^{26} - \)\(34\!\cdots\!33\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 16 T + 681 T^{2} + 8192 T^{3} + 199445 T^{4} + 1845790 T^{5} + 33786071 T^{6} + 233277479 T^{7} + 3691727634 T^{8} + 16485167992 T^{9} + 271609490480 T^{10} + 333657998604 T^{11} + 13710361742356 T^{12} - 58297808382622 T^{13} + 557397116869596 T^{14} - 6844642147180278 T^{15} + 39575195297741316 T^{16} - 293879252056797502 T^{17} + 4907089281568378316 T^{18} + 8478810623623293324 T^{19} + \)\(49\!\cdots\!80\)\( T^{20} + \)\(21\!\cdots\!32\)\( T^{21} + \)\(33\!\cdots\!94\)\( T^{22} + \)\(15\!\cdots\!19\)\( T^{23} + \)\(15\!\cdots\!01\)\( T^{24} + \)\(60\!\cdots\!90\)\( T^{25} + \)\(46\!\cdots\!95\)\( T^{26} + \)\(13\!\cdots\!72\)\( T^{27} + \)\(79\!\cdots\!91\)\( T^{28} + \)\(13\!\cdots\!96\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 - 9 T + 647 T^{2} - 5953 T^{3} + 217208 T^{4} - 1954323 T^{5} + 49406329 T^{6} - 424737176 T^{7} + 8438227950 T^{8} - 68453494238 T^{9} + 1141087911216 T^{10} - 8671525360077 T^{11} + 126044302142678 T^{12} - 892165943381479 T^{13} + 11588299173419760 T^{14} - 75932140310730915 T^{15} + 895824794345684582 T^{16} - 5391181962061894965 T^{17} + 58416616133209010160 T^{18} - \)\(31\!\cdots\!69\)\( T^{19} + \)\(32\!\cdots\!18\)\( T^{20} - \)\(15\!\cdots\!27\)\( T^{21} + \)\(14\!\cdots\!36\)\( T^{22} - \)\(62\!\cdots\!58\)\( T^{23} + \)\(54\!\cdots\!50\)\( T^{24} - \)\(19\!\cdots\!56\)\( T^{25} + \)\(16\!\cdots\!29\)\( T^{26} - \)\(45\!\cdots\!33\)\( T^{27} + \)\(35\!\cdots\!28\)\( T^{28} - \)\(69\!\cdots\!83\)\( T^{29} + \)\(53\!\cdots\!07\)\( T^{30} - \)\(52\!\cdots\!59\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 + T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 3 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 + 14 T + 168 T^{2} + 1022 T^{3} + 5329 T^{4} \))(\( 1 + 21 T + 252 T^{2} + 1533 T^{3} + 5329 T^{4} \))(\( 1 + 15 T + 298 T^{2} + 2607 T^{3} + 36943 T^{4} + 267957 T^{5} + 3359256 T^{6} + 21334489 T^{7} + 245225688 T^{8} + 1427942853 T^{9} + 14371455031 T^{10} + 74034214287 T^{11} + 617775334714 T^{12} + 2270013394335 T^{13} + 11047398519097 T^{14} \))(\( 1 + 22 T + 448 T^{2} + 6182 T^{3} + 76539 T^{4} + 801325 T^{5} + 7662417 T^{6} + 68056252 T^{7} + 559356441 T^{8} + 4270260925 T^{9} + 29774972163 T^{10} + 175557925862 T^{11} + 928736073664 T^{12} + 3329352978358 T^{13} + 11047398519097 T^{14} \))(\( 1 + T + 412 T^{2} + 598 T^{3} + 77646 T^{4} + 140916 T^{5} + 9129729 T^{6} + 17654859 T^{7} + 769142483 T^{8} + 1288804707 T^{9} + 48652325841 T^{10} + 54818719572 T^{11} + 2205009820686 T^{12} + 1239696812614 T^{13} + 62349701231068 T^{14} + 11047398519097 T^{15} + 806460091894081 T^{16} \))(\( 1 + 19 T + 386 T^{2} + 4408 T^{3} + 60696 T^{4} + 575236 T^{5} + 6755111 T^{6} + 57602843 T^{7} + 583836259 T^{8} + 4205007539 T^{9} + 35997986519 T^{10} + 223776583012 T^{11} + 1723659635736 T^{12} + 9138099581944 T^{13} + 58415011347554 T^{14} + 209900571862843 T^{15} + 806460091894081 T^{16} \))(\( 1 + 23 T + 574 T^{2} + 8291 T^{3} + 126882 T^{4} + 1426518 T^{5} + 17148012 T^{6} + 163291044 T^{7} + 1664629439 T^{8} + 13753978640 T^{9} + 121517949047 T^{10} + 870177973476 T^{11} + 6670868184204 T^{12} + 40510601954838 T^{13} + 263035469863026 T^{14} + 1254712070162099 T^{15} + 6341206749961678 T^{16} + 18548582113563863 T^{17} + 58871586708267913 T^{18} \))(\( 1 + T + 418 T^{2} + 805 T^{3} + 83422 T^{4} + 231858 T^{5} + 10710856 T^{6} + 35611462 T^{7} + 1006571719 T^{8} + 3296100898 T^{9} + 73479735487 T^{10} + 189773480998 T^{11} + 4166705068552 T^{12} + 6584359361778 T^{13} + 172939778431246 T^{14} + 121824052162645 T^{15} + 4617812580982546 T^{16} + 806460091894081 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 16 T + 352 T^{2} - 3304 T^{3} + 49442 T^{4} - 325353 T^{5} + 4033225 T^{6} - 12049730 T^{7} + 180682257 T^{8} + 335953188 T^{9} + 8396876563 T^{10} + 24524582724 T^{11} + 962855747553 T^{12} - 4687549815410 T^{13} + 114536495557225 T^{14} - 674480061997329 T^{15} + 7482266816180738 T^{16} - 36500604707096488 T^{17} + 283873952346716512 T^{18} - 941945387332286608 T^{19} + 4297625829703557649 T^{20} \))(\( 1 - 10 T + 506 T^{2} - 4479 T^{3} + 123529 T^{4} - 1003694 T^{5} + 19633857 T^{6} - 148774277 T^{7} + 2292046245 T^{8} - 16139782165 T^{9} + 208694134306 T^{10} - 1338636721718 T^{11} + 15234671804338 T^{12} - 86008899157285 T^{13} + 891644954091165 T^{14} - 4224927772846757 T^{15} + 40702391207724201 T^{16} - 151893254920911566 T^{17} + 1364674091665533313 T^{18} - 3612134751593588799 T^{19} + 29789022874383563978 T^{20} - 42976258297035576490 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 + 26 T + 656 T^{2} + 9251 T^{3} + 128551 T^{4} + 1187406 T^{5} + 12324279 T^{6} + 93986085 T^{7} + 1069108367 T^{8} + 9417310645 T^{9} + 110518722518 T^{10} + 879496276462 T^{11} + 8067866743814 T^{12} + 50184848427205 T^{13} + 415901329605239 T^{14} + 2669039492476485 T^{15} + 25549112699106447 T^{16} + 179695168300916334 T^{17} + 1420154127028438447 T^{18} + 7460562310112143331 T^{19} + 38619760880623750928 T^{20} + \)\(11\!\cdots\!74\)\( T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 - 2 T + 495 T^{2} - 520 T^{3} + 119668 T^{4} - 43275 T^{5} + 18898143 T^{6} + 2209445 T^{7} + 2193227148 T^{8} + 851713972 T^{9} + 198932364514 T^{10} + 88511068494 T^{11} + 14522062609522 T^{12} + 4538783756788 T^{13} + 853202645433516 T^{14} + 62744351586245 T^{15} + 39177203413751799 T^{16} - 6548988642656475 T^{17} + 1322020085983299796 T^{18} - 419359247784922120 T^{19} + 29141435420592616935 T^{20} - 8595251659407115298 T^{21} + \)\(31\!\cdots\!77\)\( T^{22} \))(\( 1 - 10 T + 488 T^{2} - 4821 T^{3} + 126936 T^{4} - 1184612 T^{5} + 22747137 T^{6} - 197818912 T^{7} + 3094129182 T^{8} - 24951079599 T^{9} + 335349365609 T^{10} - 2492644542189 T^{11} + 29678609700069 T^{12} - 201582598111108 T^{13} + 2166538508105037 T^{14} - 13283302765325181 T^{15} + 130456604161116353 T^{16} - 708566771662585359 T^{17} + 6414351312276526926 T^{18} - 29936771992851777568 T^{19} + \)\(25\!\cdots\!89\)\( T^{20} - \)\(95\!\cdots\!72\)\( T^{21} + \)\(74\!\cdots\!68\)\( T^{22} - \)\(20\!\cdots\!29\)\( T^{23} + \)\(15\!\cdots\!76\)\( T^{24} - \)\(22\!\cdots\!10\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 - 26 T + 746 T^{2} - 12163 T^{3} + 197018 T^{4} - 2303244 T^{5} + 26402905 T^{6} - 238009816 T^{7} + 2173709830 T^{8} - 16890287261 T^{9} + 145266665199 T^{10} - 1160572923015 T^{11} + 10489163311015 T^{12} - 86353913480488 T^{13} + 765708921704095 T^{14} - 6184693106746935 T^{15} + 56511202295719383 T^{16} - 479654448197107901 T^{17} + 4506256099997859190 T^{18} - 36019031353547252824 T^{19} + \)\(29\!\cdots\!85\)\( T^{20} - \)\(18\!\cdots\!64\)\( T^{21} + \)\(11\!\cdots\!34\)\( T^{22} - \)\(52\!\cdots\!87\)\( T^{23} + \)\(23\!\cdots\!42\)\( T^{24} - \)\(59\!\cdots\!46\)\( T^{25} + \)\(16\!\cdots\!33\)\( T^{26} \))(\( 1 + T + 334 T^{2} + 94 T^{3} + 73741 T^{4} - 12849 T^{5} + 11774165 T^{6} - 5595429 T^{7} + 1525890980 T^{8} - 987209760 T^{9} + 163884719462 T^{10} - 118886148707 T^{11} + 15017406618692 T^{12} - 10988142043582 T^{13} + 1179659989717330 T^{14} - 802134369181486 T^{15} + 80027759871009668 T^{16} - 46248732911551019 T^{17} + 4654037759499266342 T^{18} - 2046556509788347680 T^{19} + \)\(23\!\cdots\!20\)\( T^{20} - 61814934048312407613 T^{21} + \)\(94\!\cdots\!65\)\( T^{22} - \)\(75\!\cdots\!37\)\( T^{23} + \)\(31\!\cdots\!09\)\( T^{24} + \)\(29\!\cdots\!38\)\( T^{25} + \)\(76\!\cdots\!14\)\( T^{26} + \)\(16\!\cdots\!33\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 8 T + 580 T^{2} - 3614 T^{3} + 162672 T^{4} - 764179 T^{5} + 29652909 T^{6} - 100124608 T^{7} + 4007190972 T^{8} - 9204331810 T^{9} + 434077709991 T^{10} - 661410767186 T^{11} + 39522978031257 T^{12} - 43625533269403 T^{13} + 3098513317034992 T^{14} - 3184663928666419 T^{15} + 210617949928568553 T^{16} - 257300032418396162 T^{17} + 12327043421052525831 T^{18} - 19081238807857273330 T^{19} + \)\(60\!\cdots\!08\)\( T^{20} - \)\(11\!\cdots\!76\)\( T^{21} + \)\(23\!\cdots\!29\)\( T^{22} - \)\(44\!\cdots\!27\)\( T^{23} + \)\(69\!\cdots\!28\)\( T^{24} - \)\(11\!\cdots\!78\)\( T^{25} + \)\(13\!\cdots\!80\)\( T^{26} - \)\(13\!\cdots\!64\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 26 T + 982 T^{2} - 19053 T^{3} + 419247 T^{4} - 6615174 T^{5} + 108577055 T^{6} - 1463559315 T^{7} + 19672374182 T^{8} - 233612260703 T^{9} + 2697987391984 T^{10} - 28763400961311 T^{11} + 293482765032809 T^{12} - 2836872772241627 T^{13} + 25998682949261948 T^{14} - 228491538928394974 T^{15} + 1897903855296122204 T^{16} - 15117695003275630283 T^{17} + \)\(11\!\cdots\!53\)\( T^{18} - \)\(81\!\cdots\!51\)\( T^{19} + \)\(55\!\cdots\!12\)\( T^{20} - \)\(35\!\cdots\!67\)\( T^{21} + \)\(21\!\cdots\!54\)\( T^{22} - \)\(11\!\cdots\!15\)\( T^{23} + \)\(63\!\cdots\!15\)\( T^{24} - \)\(28\!\cdots\!26\)\( T^{25} + \)\(13\!\cdots\!19\)\( T^{26} - \)\(43\!\cdots\!13\)\( T^{27} + \)\(16\!\cdots\!06\)\( T^{28} - \)\(31\!\cdots\!34\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 - 31 T + 930 T^{2} - 18787 T^{3} + 360383 T^{4} - 5735175 T^{5} + 87201554 T^{6} - 1178720511 T^{7} + 15326636511 T^{8} - 182854908180 T^{9} + 2109167129032 T^{10} - 22697549088799 T^{11} + 236922327011401 T^{12} - 2328129682229087 T^{13} + 22230079207589768 T^{14} - 200717569045679722 T^{15} + 1762381238250760896 T^{16} - 14652382540334619706 T^{17} + \)\(11\!\cdots\!72\)\( T^{18} - \)\(90\!\cdots\!79\)\( T^{19} + \)\(67\!\cdots\!41\)\( T^{20} - \)\(47\!\cdots\!07\)\( T^{21} + \)\(31\!\cdots\!48\)\( T^{22} - \)\(20\!\cdots\!60\)\( T^{23} + \)\(12\!\cdots\!91\)\( T^{24} - \)\(69\!\cdots\!43\)\( T^{25} + \)\(37\!\cdots\!46\)\( T^{26} - \)\(17\!\cdots\!75\)\( T^{27} + \)\(82\!\cdots\!43\)\( T^{28} - \)\(31\!\cdots\!71\)\( T^{29} + \)\(11\!\cdots\!70\)\( T^{30} - \)\(27\!\cdots\!67\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 14 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 4 T + 150 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 - 6 T + 14 T^{2} - 474 T^{3} + 6241 T^{4} \))(\( 1 + 9 T + 275 T^{2} + 1644 T^{3} + 38868 T^{4} + 179216 T^{5} + 3772441 T^{6} + 13788260 T^{7} + 298022839 T^{8} + 1118487056 T^{9} + 19163439852 T^{10} + 64033933164 T^{11} + 846190509725 T^{12} + 2187787099689 T^{13} + 19203908986159 T^{14} \))(\( 1 + 35 T + 983 T^{2} + 18618 T^{3} + 300964 T^{4} + 3889158 T^{5} + 44034505 T^{6} + 416574890 T^{7} + 3478725895 T^{8} + 24272235078 T^{9} + 148386989596 T^{10} + 725172608058 T^{11} + 3024746440217 T^{12} + 8508060943235 T^{13} + 19203908986159 T^{14} \))(\( 1 + 10 T + 282 T^{2} + 3499 T^{3} + 53369 T^{4} + 546091 T^{5} + 6958081 T^{6} + 61844166 T^{7} + 625833453 T^{8} + 4885689114 T^{9} + 43425383521 T^{10} + 269244160549 T^{11} + 2078726872889 T^{12} + 10766620340101 T^{13} + 68550662456922 T^{14} + 192039089861590 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 22 T + 648 T^{2} + 10063 T^{3} + 175321 T^{4} + 2109525 T^{5} + 27024261 T^{6} + 261226356 T^{7} + 2643054349 T^{8} + 20636882124 T^{9} + 168658412901 T^{10} + 1040078096475 T^{11} + 6828767151001 T^{12} + 30964418543137 T^{13} + 157520671177608 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 17 T + 395 T^{2} + 3064 T^{3} + 35795 T^{4} + 61429 T^{5} + 1896044 T^{6} + 13134010 T^{7} + 408680503 T^{8} + 3054875664 T^{9} + 32285759737 T^{10} + 81969356410 T^{11} + 934823637716 T^{12} + 2392664525749 T^{13} + 110143233802205 T^{14} + 744819963716344 T^{15} + 7585544049532805 T^{16} + 25790849768411537 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 17 T + 325 T^{2} + 3670 T^{3} + 55733 T^{4} + 568091 T^{5} + 6947240 T^{6} + 61557944 T^{7} + 674218027 T^{8} + 5475317212 T^{9} + 53263224133 T^{10} + 384183128504 T^{11} + 3425260262360 T^{12} + 22127190465371 T^{13} + 171493584285467 T^{14} + 892130961762070 T^{15} + 6241270420501675 T^{16} + 25790849768411537 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 5 T + 465 T^{2} + 2426 T^{3} + 94235 T^{4} + 555423 T^{5} + 10912430 T^{6} + 80276238 T^{7} + 851647576 T^{8} + 8321261877 T^{9} + 61210513967 T^{10} + 657379688283 T^{11} + 5315132521816 T^{12} + 39579316107282 T^{13} + 425040032406830 T^{14} + 1709067896301777 T^{15} + 22907346371021435 T^{16} + 46588683200421734 T^{17} + 705455596606550865 T^{18} + 599257979913091595 T^{19} + 9468276082626847201 T^{20} \))(\( 1 + 4 T + 541 T^{2} + 2517 T^{3} + 143022 T^{4} + 751936 T^{5} + 24663253 T^{6} + 140402798 T^{7} + 3120390527 T^{8} + 18087944462 T^{9} + 307693116948 T^{10} + 1675384745678 T^{11} + 24307756238892 T^{12} + 112886861387342 T^{13} + 1538474225041553 T^{14} + 5468700354726638 T^{15} + 75890220463805947 T^{16} + 182786208954638656 T^{17} + 2746581471018432498 T^{18} + 3818562874534814037 T^{19} + 64839713426596510579 T^{20} + 37873104330507388804 T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 24 T + 727 T^{2} + 12357 T^{3} + 221332 T^{4} + 2946218 T^{5} + 39854831 T^{6} + 442407778 T^{7} + 4983420261 T^{8} + 48372860404 T^{9} + 480256863452 T^{10} + 4211075283406 T^{11} + 37940292212708 T^{12} + 301895021781364 T^{13} + 2457020542063179 T^{14} + 17231818788130018 T^{15} + 122635562759613569 T^{16} + 716188637030169578 T^{17} + 4250439583724543788 T^{18} + 18746913564015374277 T^{19} + 87132110279363517913 T^{20} + \)\(22\!\cdots\!24\)\( T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 + 9 T + 198 T^{2} + 1359 T^{3} + 30162 T^{4} + 213033 T^{5} + 3822381 T^{6} + 23823819 T^{7} + 378091574 T^{8} + 2309395281 T^{9} + 34924793669 T^{10} + 201260000862 T^{11} + 2759058699851 T^{12} + 14412935948721 T^{13} + 186413891553386 T^{14} + 927939679779339 T^{15} + 11761681915466019 T^{16} + 51785649912005193 T^{17} + 579228302840527758 T^{18} + 2061750872663016399 T^{19} + 23730616004558427162 T^{20} + 85214484743641624809 T^{21} + \)\(74\!\cdots\!79\)\( T^{22} \))(\( 1 - 20 T + 787 T^{2} - 12003 T^{3} + 275507 T^{4} - 3452040 T^{5} + 59808136 T^{6} - 645196725 T^{7} + 9320379035 T^{8} - 89224598462 T^{9} + 1126437121551 T^{10} - 9713388654544 T^{11} + 109430422209707 T^{12} - 852461225196028 T^{13} + 8645003354566853 T^{14} - 60621258593009104 T^{15} + 555377431972383489 T^{16} - 3475305337287375422 T^{17} + 28679331950752194965 T^{18} - \)\(15\!\cdots\!25\)\( T^{19} + \)\(11\!\cdots\!24\)\( T^{20} - \)\(52\!\cdots\!40\)\( T^{21} + \)\(33\!\cdots\!33\)\( T^{22} - \)\(11\!\cdots\!03\)\( T^{23} + \)\(58\!\cdots\!73\)\( T^{24} - \)\(11\!\cdots\!20\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 - 20 T + 677 T^{2} - 12463 T^{3} + 241933 T^{4} - 3805406 T^{5} + 57153528 T^{6} - 763146717 T^{7} + 9701644259 T^{8} - 112224924738 T^{9} + 1242950530813 T^{10} - 12702902949388 T^{11} + 124040932758201 T^{12} - 1129316790721000 T^{13} + 9799233687897879 T^{14} - 79278817307130508 T^{15} + 612823086761510707 T^{16} - 4371169908764003778 T^{17} + 29852506547977563341 T^{18} - \)\(18\!\cdots\!57\)\( T^{19} + \)\(10\!\cdots\!52\)\( T^{20} - \)\(57\!\cdots\!66\)\( T^{21} + \)\(28\!\cdots\!27\)\( T^{22} - \)\(11\!\cdots\!63\)\( T^{23} + \)\(50\!\cdots\!83\)\( T^{24} - \)\(11\!\cdots\!20\)\( T^{25} + \)\(46\!\cdots\!39\)\( T^{26} \))(\( 1 - 22 T + 828 T^{2} - 13521 T^{3} + 293742 T^{4} - 3825911 T^{5} + 61580817 T^{6} - 665059021 T^{7} + 8753349371 T^{8} - 80495817259 T^{9} + 924084151802 T^{10} - 7474853355032 T^{11} + 79898688619062 T^{12} - 601915901426526 T^{13} + 6367489396468530 T^{14} - 47551356212695554 T^{15} + 498647715671565942 T^{16} - 3685394223311622248 T^{17} + 35993152563504195962 T^{18} - \)\(24\!\cdots\!41\)\( T^{19} + \)\(21\!\cdots\!91\)\( T^{20} - \)\(12\!\cdots\!39\)\( T^{21} + \)\(93\!\cdots\!37\)\( T^{22} - \)\(45\!\cdots\!09\)\( T^{23} + \)\(27\!\cdots\!42\)\( T^{24} - \)\(10\!\cdots\!59\)\( T^{25} + \)\(48\!\cdots\!48\)\( T^{26} - \)\(10\!\cdots\!58\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 47 T + 1557 T^{2} - 37158 T^{3} + 745455 T^{4} - 12667313 T^{5} + 192799032 T^{6} - 2639239134 T^{7} + 33503342113 T^{8} - 394884523816 T^{9} + 4403987071198 T^{10} - 46353290041083 T^{11} + 465726653028315 T^{12} - 4441019299001415 T^{13} + 40500973681256402 T^{14} - 350840524621111785 T^{15} + 2906600041549713915 T^{16} - 22853979768565521237 T^{17} + \)\(17\!\cdots\!38\)\( T^{18} - \)\(12\!\cdots\!84\)\( T^{19} + \)\(81\!\cdots\!73\)\( T^{20} - \)\(50\!\cdots\!06\)\( T^{21} + \)\(29\!\cdots\!52\)\( T^{22} - \)\(15\!\cdots\!47\)\( T^{23} + \)\(70\!\cdots\!55\)\( T^{24} - \)\(27\!\cdots\!82\)\( T^{25} + \)\(92\!\cdots\!37\)\( T^{26} - \)\(21\!\cdots\!33\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 32 T + 1205 T^{2} - 26803 T^{3} + 613058 T^{4} - 10717304 T^{5} + 186716535 T^{6} - 2723730272 T^{7} + 39248501090 T^{8} - 494498141890 T^{9} + 6142599583687 T^{10} - 68290602517777 T^{11} + 748796476726942 T^{12} - 7442840947139686 T^{13} + 73019345320177984 T^{14} - 653153745149387832 T^{15} + 5768528280294060736 T^{16} - 46450770351098780326 T^{17} + \)\(36\!\cdots\!38\)\( T^{18} - \)\(26\!\cdots\!37\)\( T^{19} + \)\(18\!\cdots\!13\)\( T^{20} - \)\(12\!\cdots\!90\)\( T^{21} + \)\(75\!\cdots\!10\)\( T^{22} - \)\(41\!\cdots\!92\)\( T^{23} + \)\(22\!\cdots\!65\)\( T^{24} - \)\(10\!\cdots\!04\)\( T^{25} + \)\(45\!\cdots\!82\)\( T^{26} - \)\(15\!\cdots\!23\)\( T^{27} + \)\(56\!\cdots\!95\)\( T^{28} - \)\(11\!\cdots\!92\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 - 9 T + 427 T^{2} - 3850 T^{3} + 102090 T^{4} - 868678 T^{5} + 18131807 T^{6} - 149328416 T^{7} + 2642131932 T^{8} - 21017512381 T^{9} + 327831875876 T^{10} - 2478397248275 T^{11} + 35140403627204 T^{12} - 253340862880103 T^{13} + 3322807486056930 T^{14} - 22756092242392582 T^{15} + 279118041500470858 T^{16} - 1797731287149013978 T^{17} + 20737641520481300130 T^{18} - \)\(12\!\cdots\!17\)\( T^{19} + \)\(13\!\cdots\!24\)\( T^{20} - \)\(76\!\cdots\!25\)\( T^{21} + \)\(79\!\cdots\!96\)\( T^{22} - \)\(40\!\cdots\!79\)\( T^{23} + \)\(40\!\cdots\!52\)\( T^{24} - \)\(17\!\cdots\!04\)\( T^{25} + \)\(17\!\cdots\!07\)\( T^{26} - \)\(64\!\cdots\!62\)\( T^{27} + \)\(60\!\cdots\!90\)\( T^{28} - \)\(17\!\cdots\!50\)\( T^{29} + \)\(15\!\cdots\!87\)\( T^{30} - \)\(26\!\cdots\!91\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 3 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 5 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 6 T + 172 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 - 13 T + 102 T^{2} - 1079 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 522 T^{2} + 5510 T^{3} + 122075 T^{4} + 1085198 T^{5} + 16416068 T^{6} + 117948351 T^{7} + 1362533644 T^{8} + 7475929022 T^{9} + 69800898025 T^{10} + 261495348710 T^{11} + 2056179215646 T^{12} + 3923284480428 T^{13} + 27136050989627 T^{14} \))(\( 1 + 13 T + 463 T^{2} + 3898 T^{3} + 83186 T^{4} + 474534 T^{5} + 8796565 T^{6} + 39979242 T^{7} + 730114895 T^{8} + 3269064726 T^{9} + 47564673382 T^{10} + 184992535258 T^{11} + 1823775817709 T^{12} + 4250224853797 T^{13} + 27136050989627 T^{14} \))(\( 1 - 16 T + 720 T^{2} - 9171 T^{3} + 219817 T^{4} - 2261561 T^{5} + 37487537 T^{6} - 311274590 T^{7} + 3922748903 T^{8} - 25835790970 T^{9} + 258251642393 T^{10} - 1293131179507 T^{11} + 10432145747257 T^{12} - 36124941736953 T^{13} + 235397068825680 T^{14} - 434176815834032 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 5 T + 78 T^{2} + 141 T^{3} - 5369 T^{4} - 25666 T^{5} + 88139 T^{6} - 32574 T^{7} + 76039942 T^{8} - 2703642 T^{9} + 607189571 T^{10} - 14675485142 T^{11} - 254803725449 T^{12} + 555404730663 T^{13} + 25501349122782 T^{14} + 135680254948135 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 30 T + 774 T^{2} + 14316 T^{3} + 236022 T^{4} + 3272346 T^{5} + 41737326 T^{6} + 469617405 T^{7} + 4923233461 T^{8} + 46416470790 T^{9} + 408628377263 T^{10} + 3235194303045 T^{11} + 23864860421562 T^{12} + 155300046891066 T^{13} + 929700250642146 T^{14} + 4680478385150604 T^{15} + 21003303465971298 T^{16} + 67568766964171230 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 36 T + 862 T^{2} + 14832 T^{3} + 204924 T^{4} + 2418870 T^{5} + 25663040 T^{6} + 255861115 T^{7} + 2465659281 T^{8} + 22794871220 T^{9} + 204649720323 T^{10} + 1762627221235 T^{11} + 14673792652480 T^{12} + 114795508917270 T^{13} + 807203964726132 T^{14} + 4849179617809008 T^{15} + 23391275953058474 T^{16} + 81082520357005476 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 24 T + 618 T^{2} - 9221 T^{3} + 136518 T^{4} - 1518297 T^{5} + 16747877 T^{6} - 156709671 T^{7} + 1480990420 T^{8} - 13087429851 T^{9} + 120143119748 T^{10} - 1086256677633 T^{11} + 10202543003380 T^{12} - 89604552652077 T^{13} + 794826122734517 T^{14} - 5980633591144971 T^{15} + 44633245891589142 T^{16} - 250221526175350567 T^{17} + 1391916599461927338 T^{18} - 4486566126420969672 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 5 T + 617 T^{2} - 2977 T^{3} + 189025 T^{4} - 870780 T^{5} + 37665158 T^{6} - 162351505 T^{7} + 5402817810 T^{8} - 21295761392 T^{9} + 584076340165 T^{10} - 2050215517932 T^{11} + 48478336233695 T^{12} - 146706500229488 T^{13} + 3089260987126470 T^{14} - 7704929839123105 T^{15} + 148364588187016594 T^{16} - 284693138322257820 T^{17} + 5129392038314243675 T^{18} - 6705073975077925057 T^{19} + \)\(11\!\cdots\!51\)\( T^{20} - 77580205936029267245 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 + 4 T + 538 T^{2} + 2656 T^{3} + 138931 T^{4} + 799280 T^{5} + 23242556 T^{6} + 148075461 T^{7} + 2874534289 T^{8} + 19154269370 T^{9} + 284753052043 T^{10} + 1832859665402 T^{11} + 23634503319569 T^{12} + 131953761689930 T^{13} + 1643621337504443 T^{14} + 7027412760360981 T^{15} + 91553372731203508 T^{16} + 261316901626374320 T^{17} + 3770038700039868737 T^{18} + 5982088168561292896 T^{19} + \)\(10\!\cdots\!14\)\( T^{20} + 62064164748823413796 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 4 T + 581 T^{2} - 1911 T^{3} + 159284 T^{4} - 410442 T^{5} + 27736687 T^{6} - 53181542 T^{7} + 3511416977 T^{8} - 4954104230 T^{9} + 351629701566 T^{10} - 409159204382 T^{11} + 29185265229978 T^{12} - 34128824040470 T^{13} + 2007782579027899 T^{14} - 2523906691510982 T^{15} + 109255937395169741 T^{16} - 134190060726319098 T^{17} + 4322338745831747068 T^{18} - 4304130455617707351 T^{19} + \)\(10\!\cdots\!43\)\( T^{20} - 62064164748823413796 T^{21} + \)\(12\!\cdots\!67\)\( T^{22} \))(\( 1 - 4 T + 444 T^{2} - 3200 T^{3} + 105784 T^{4} - 1010478 T^{5} + 19025840 T^{6} - 193233441 T^{7} + 2801080236 T^{8} - 27246736742 T^{9} + 335857548449 T^{10} - 3089700073565 T^{11} + 33099744585076 T^{12} - 285143521749108 T^{13} + 2747278800561308 T^{14} - 21284943806789285 T^{15} + 192038980055008363 T^{16} - 1293084378504330182 T^{17} + 11033568893908031748 T^{18} - 63175813347916632729 T^{19} + \)\(51\!\cdots\!80\)\( T^{20} - \)\(22\!\cdots\!98\)\( T^{21} + \)\(19\!\cdots\!52\)\( T^{22} - \)\(49\!\cdots\!00\)\( T^{23} + \)\(57\!\cdots\!48\)\( T^{24} - \)\(42\!\cdots\!44\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 - T + 455 T^{2} + 145 T^{3} + 113492 T^{4} + 101871 T^{5} + 20287179 T^{6} + 21833082 T^{7} + 2835178267 T^{8} + 3204393050 T^{9} + 324707041273 T^{10} + 356723505111 T^{11} + 31484734599293 T^{12} + 32195079821566 T^{13} + 2613232971741319 T^{14} + 2457468226709679 T^{15} + 185663265008364851 T^{16} + 152075113977069050 T^{17} + 11167882423863305681 T^{18} + 7138115980875993258 T^{19} + \)\(55\!\cdots\!33\)\( T^{20} + \)\(22\!\cdots\!11\)\( T^{21} + \)\(21\!\cdots\!76\)\( T^{22} + \)\(22\!\cdots\!05\)\( T^{23} + \)\(58\!\cdots\!85\)\( T^{24} - \)\(10\!\cdots\!61\)\( T^{25} + \)\(88\!\cdots\!63\)\( T^{26} \))(\( 1 + 33 T + 772 T^{2} + 12155 T^{3} + 157962 T^{4} + 1584053 T^{5} + 14040213 T^{6} + 105028479 T^{7} + 903459792 T^{8} + 8695933689 T^{9} + 108025367386 T^{10} + 1222116484163 T^{11} + 13729628892505 T^{12} + 133290333687970 T^{13} + 1284618585305058 T^{14} + 11063097696101510 T^{15} + 94583413440466945 T^{16} + 698790318130109281 T^{17} + 5126702561547718906 T^{18} + 34253636229803922027 T^{19} + \)\(29\!\cdots\!48\)\( T^{20} + \)\(28\!\cdots\!33\)\( T^{21} + \)\(31\!\cdots\!33\)\( T^{22} + \)\(29\!\cdots\!59\)\( T^{23} + \)\(24\!\cdots\!38\)\( T^{24} + \)\(15\!\cdots\!85\)\( T^{25} + \)\(82\!\cdots\!92\)\( T^{26} + \)\(29\!\cdots\!79\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 32 T + 942 T^{2} - 19987 T^{3} + 390182 T^{4} - 6516395 T^{5} + 101533641 T^{6} - 1433511069 T^{7} + 19034816833 T^{8} - 234690377819 T^{9} + 2738256152002 T^{10} - 30026411608140 T^{11} + 312618461638268 T^{12} - 3077259021545414 T^{13} + 28809670495311814 T^{14} - 255412498788269362 T^{15} + 2153628582226028252 T^{16} - 17168711814183546180 T^{17} + \)\(12\!\cdots\!42\)\( T^{18} - \)\(92\!\cdots\!17\)\( T^{19} + \)\(62\!\cdots\!77\)\( T^{20} - \)\(38\!\cdots\!63\)\( T^{21} + \)\(22\!\cdots\!81\)\( T^{22} - \)\(12\!\cdots\!85\)\( T^{23} + \)\(60\!\cdots\!18\)\( T^{24} - \)\(25\!\cdots\!29\)\( T^{25} + \)\(10\!\cdots\!62\)\( T^{26} - \)\(28\!\cdots\!16\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 7 T + 661 T^{2} - 3005 T^{3} + 209939 T^{4} - 560686 T^{5} + 44711962 T^{6} - 60533831 T^{7} + 7377570407 T^{8} - 4044399219 T^{9} + 1001301436724 T^{10} - 85860126785 T^{11} + 113995380078112 T^{12} + 19623659707422 T^{13} + 11021091644454876 T^{14} + 2728399320004426 T^{15} + 914750606489754708 T^{16} + 135187391724430158 T^{17} + 65181076388723426144 T^{18} - 4074777458063227985 T^{19} + \)\(39\!\cdots\!32\)\( T^{20} - \)\(13\!\cdots\!11\)\( T^{21} + \)\(20\!\cdots\!89\)\( T^{22} - \)\(13\!\cdots\!71\)\( T^{23} + \)\(83\!\cdots\!86\)\( T^{24} - \)\(86\!\cdots\!14\)\( T^{25} + \)\(27\!\cdots\!13\)\( T^{26} - \)\(32\!\cdots\!05\)\( T^{27} + \)\(58\!\cdots\!43\)\( T^{28} - \)\(51\!\cdots\!03\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 - 13 T + 864 T^{2} - 10810 T^{3} + 366688 T^{4} - 4403429 T^{5} + 102127617 T^{6} - 1170015123 T^{7} + 20989575797 T^{8} - 227535629524 T^{9} + 3383820382029 T^{10} - 34407116430642 T^{11} + 442929952344464 T^{12} - 4190129386152419 T^{13} + 48001172800991818 T^{14} - 419304551999887806 T^{15} + 4350080663931026740 T^{16} - 34802277815990687898 T^{17} + \)\(33\!\cdots\!02\)\( T^{18} - \)\(23\!\cdots\!53\)\( T^{19} + \)\(21\!\cdots\!44\)\( T^{20} - \)\(13\!\cdots\!06\)\( T^{21} + \)\(11\!\cdots\!01\)\( T^{22} - \)\(61\!\cdots\!48\)\( T^{23} + \)\(47\!\cdots\!77\)\( T^{24} - \)\(21\!\cdots\!69\)\( T^{25} + \)\(15\!\cdots\!33\)\( T^{26} - \)\(56\!\cdots\!43\)\( T^{27} + \)\(39\!\cdots\!68\)\( T^{28} - \)\(95\!\cdots\!30\)\( T^{29} + \)\(63\!\cdots\!56\)\( T^{30} - \)\(79\!\cdots\!91\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 14 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 34 T + 464 T^{2} + 3026 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 50 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( 1 + 19 T + 587 T^{2} + 8000 T^{3} + 146533 T^{4} + 1566033 T^{5} + 20964676 T^{6} + 178171714 T^{7} + 1865856164 T^{8} + 12404547393 T^{9} + 103301222477 T^{10} + 501937928000 T^{11} + 3277842896563 T^{12} + 9442644528259 T^{13} + 44231334895529 T^{14} \))(\( 1 + 5 T + 185 T^{2} - 328 T^{3} + 14989 T^{4} - 190067 T^{5} + 339848 T^{6} - 28545930 T^{7} + 30246472 T^{8} - 1505520707 T^{9} + 10566780341 T^{10} - 20579455048 T^{11} + 1033050998065 T^{12} + 2484906454805 T^{13} + 44231334895529 T^{14} \))(\( 1 - 9 T + 314 T^{2} - 2637 T^{3} + 62826 T^{4} - 465523 T^{5} + 8595847 T^{6} - 56585645 T^{7} + 875854512 T^{8} - 5036122405 T^{9} + 68087704087 T^{10} - 328179283787 T^{11} + 3941844033066 T^{12} - 14725164767013 T^{13} + 156052125361754 T^{14} - 398082014059761 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 15 T + 450 T^{2} - 5003 T^{3} + 93150 T^{4} - 840021 T^{5} + 12514431 T^{6} - 97198449 T^{7} + 1259451040 T^{8} - 8650661961 T^{9} + 99126807951 T^{10} - 592188764349 T^{11} + 5844439749150 T^{12} - 27937049423347 T^{13} + 223641580932450 T^{14} - 663470023432935 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 23 T + 469 T^{2} - 7258 T^{3} + 109176 T^{4} - 1309322 T^{5} + 15701143 T^{6} - 166635878 T^{7} + 1743748899 T^{8} - 16181224814 T^{9} + 155193652011 T^{10} - 1319922789638 T^{11} + 11068819079567 T^{12} - 82149796470602 T^{13} + 609645274404024 T^{14} - 3607090209794938 T^{15} + 20744496066003101 T^{16} - 90541542531147863 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 17 T + 683 T^{2} + 9672 T^{3} + 216744 T^{4} + 2577508 T^{5} + 41714089 T^{6} + 418451366 T^{7} + 5362151085 T^{8} + 45155039726 T^{9} + 477231446565 T^{10} + 3314553270086 T^{11} + 29407139608241 T^{12} + 161718628115428 T^{13} + 1210311381214056 T^{14} + 4806803046174792 T^{15} + 30210001733646307 T^{16} + 66922009696935377 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 17 T + 560 T^{2} - 8711 T^{3} + 167261 T^{4} - 2244070 T^{5} + 32797309 T^{6} - 378419448 T^{7} + 4578584118 T^{8} - 45568887554 T^{9} + 472130537246 T^{10} - 4055630992306 T^{11} + 36266964798678 T^{12} - 266773979837112 T^{13} + 2057776665429469 T^{14} - 12531020287717430 T^{15} + 83125587707427821 T^{16} - 385299158274953119 T^{17} + 2204489731193165360 T^{18} - 5956058863027248553 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 11 T + 767 T^{2} - 8412 T^{3} + 281563 T^{4} - 2951301 T^{5} + 65453704 T^{6} - 631239462 T^{7} + 10674411633 T^{8} - 91954072720 T^{9} + 1275541605636 T^{10} - 9596154619292 T^{11} + 113523202901604 T^{12} - 728368210015120 T^{13} + 7525129294504377 T^{14} - 39605378453514342 T^{15} + 365497374293249096 T^{16} - 1466741380994490261 T^{17} + 12453907347189831827 T^{18} - 33114585033565905372 T^{19} + \)\(26\!\cdots\!03\)\( T^{20} - \)\(34\!\cdots\!11\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 - 5 T + 207 T^{2} + 576 T^{3} + 9831 T^{4} + 189285 T^{5} + 1381980 T^{6} + 5730368 T^{7} + 252166197 T^{8} + 1258685648 T^{9} + 7267276656 T^{10} + 276974230272 T^{11} + 646787622384 T^{12} + 9970049017808 T^{13} + 177769351732893 T^{14} + 359536130074688 T^{15} + 7717058477329020 T^{16} + 94071103659552885 T^{17} + 434838253357945599 T^{18} + 2267475152084398656 T^{19} + 72523775567449438263 T^{20} - \)\(15\!\cdots\!05\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 + 7 T + 805 T^{2} + 5316 T^{3} + 303975 T^{4} + 1857597 T^{5} + 71388198 T^{6} + 396565616 T^{7} + 11633185471 T^{8} + 57732997524 T^{9} + 1385638619638 T^{10} + 6024278981448 T^{11} + 123321837147782 T^{12} + 457303073387604 T^{13} + 8201035128305399 T^{14} + 24881415451385456 T^{15} + 398635941588982902 T^{16} + 923190955145280717 T^{17} + 13445220024868427775 T^{18} + 20926906091112262596 T^{19} + \)\(28\!\cdots\!45\)\( T^{20} + \)\(21\!\cdots\!07\)\( T^{21} + \)\(27\!\cdots\!89\)\( T^{22} \))(\( 1 - 19 T + 581 T^{2} - 9410 T^{3} + 182832 T^{4} - 2534348 T^{5} + 38927529 T^{6} - 479209144 T^{7} + 6305544650 T^{8} - 70078024181 T^{9} + 820209735042 T^{10} - 8301368103586 T^{11} + 87843324513909 T^{12} - 811470919191776 T^{13} + 7818055881737901 T^{14} - 65755136748504706 T^{15} + 578222436702823698 T^{16} - 4396852281968129621 T^{17} + 35210536183923897850 T^{18} - \)\(23\!\cdots\!84\)\( T^{19} + \)\(17\!\cdots\!41\)\( T^{20} - \)\(99\!\cdots\!88\)\( T^{21} + \)\(64\!\cdots\!88\)\( T^{22} - \)\(29\!\cdots\!10\)\( T^{23} + \)\(16\!\cdots\!09\)\( T^{24} - \)\(46\!\cdots\!99\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 + 15 T + 917 T^{2} + 11226 T^{3} + 386812 T^{4} + 4002268 T^{5} + 101963517 T^{6} + 913784970 T^{7} + 19083645686 T^{8} + 150627818773 T^{9} + 2709361846298 T^{10} + 19031007007348 T^{11} + 302200255538505 T^{12} + 1897894842057504 T^{13} + 26895822742926945 T^{14} + 150744606505203508 T^{15} + 1910016111422854762 T^{16} + 9450726906759890293 T^{17} + \)\(10\!\cdots\!14\)\( T^{18} + \)\(45\!\cdots\!70\)\( T^{19} + \)\(45\!\cdots\!93\)\( T^{20} + \)\(15\!\cdots\!08\)\( T^{21} + \)\(13\!\cdots\!08\)\( T^{22} + \)\(35\!\cdots\!26\)\( T^{23} + \)\(25\!\cdots\!13\)\( T^{24} + \)\(37\!\cdots\!15\)\( T^{25} + \)\(21\!\cdots\!69\)\( T^{26} \))(\( 1 + 21 T + 1134 T^{2} + 20759 T^{3} + 599047 T^{4} + 9699360 T^{5} + 196592343 T^{6} + 2839555292 T^{7} + 44974853969 T^{8} + 581764922733 T^{9} + 7611795542856 T^{10} + 88163466867671 T^{11} + 985022956782767 T^{12} + 10173837771281924 T^{13} + 99142027467836054 T^{14} + 905471561644091236 T^{15} + 7802366840676297407 T^{16} + 62152511074235157199 T^{17} + \)\(47\!\cdots\!96\)\( T^{18} + \)\(32\!\cdots\!17\)\( T^{19} + \)\(22\!\cdots\!09\)\( T^{20} + \)\(12\!\cdots\!68\)\( T^{21} + \)\(77\!\cdots\!83\)\( T^{22} + \)\(33\!\cdots\!40\)\( T^{23} + \)\(18\!\cdots\!47\)\( T^{24} + \)\(57\!\cdots\!51\)\( T^{25} + \)\(28\!\cdots\!14\)\( T^{26} + \)\(46\!\cdots\!49\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 25 T + 1000 T^{2} - 18625 T^{3} + 426665 T^{4} - 6445038 T^{5} + 108637017 T^{6} - 1405879686 T^{7} + 19258585417 T^{8} - 222553402655 T^{9} + 2623060875724 T^{10} - 27880919089135 T^{11} + 293676695349789 T^{12} - 2910784441534644 T^{13} + 28100594288124870 T^{14} - 259059815296583316 T^{15} + 2326213103865678669 T^{16} - 19655183649348411815 T^{17} + \)\(16\!\cdots\!84\)\( T^{18} - \)\(12\!\cdots\!95\)\( T^{19} + \)\(95\!\cdots\!37\)\( T^{20} - \)\(62\!\cdots\!94\)\( T^{21} + \)\(42\!\cdots\!77\)\( T^{22} - \)\(22\!\cdots\!42\)\( T^{23} + \)\(13\!\cdots\!65\)\( T^{24} - \)\(51\!\cdots\!25\)\( T^{25} + \)\(24\!\cdots\!00\)\( T^{26} - \)\(54\!\cdots\!25\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 + 11 T + 643 T^{2} + 5280 T^{3} + 201365 T^{4} + 1271201 T^{5} + 42321810 T^{6} + 204506354 T^{7} + 6783242052 T^{8} + 24307125199 T^{9} + 886012141853 T^{10} + 2265967480932 T^{11} + 98823471887447 T^{12} + 182951001839461 T^{13} + 9752648333948213 T^{14} + 15193861032907796 T^{15} + 867985701721390957 T^{16} + 1449154885570370581 T^{17} + 69667484153021624143 T^{18} + \)\(14\!\cdots\!12\)\( T^{19} + \)\(49\!\cdots\!97\)\( T^{20} + \)\(12\!\cdots\!39\)\( T^{21} + \)\(30\!\cdots\!08\)\( T^{22} + \)\(80\!\cdots\!74\)\( T^{23} + \)\(14\!\cdots\!90\)\( T^{24} + \)\(39\!\cdots\!01\)\( T^{25} + \)\(55\!\cdots\!85\)\( T^{26} + \)\(13\!\cdots\!80\)\( T^{27} + \)\(14\!\cdots\!67\)\( T^{28} + \)\(21\!\cdots\!51\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 - 21 T + 858 T^{2} - 14023 T^{3} + 332464 T^{4} - 4368207 T^{5} + 77231501 T^{6} - 826656703 T^{7} + 12009813260 T^{8} - 103341929269 T^{9} + 1316798102713 T^{10} - 8584260126217 T^{11} + 105036332043592 T^{12} - 435632831681457 T^{13} + 6608686908867824 T^{14} - 11160125280952727 T^{15} + 462020269959168886 T^{16} - 993251150004792703 T^{17} + 52347409005142033904 T^{18} - \)\(30\!\cdots\!33\)\( T^{19} + \)\(65\!\cdots\!72\)\( T^{20} - \)\(47\!\cdots\!33\)\( T^{21} + \)\(65\!\cdots\!93\)\( T^{22} - \)\(45\!\cdots\!01\)\( T^{23} + \)\(47\!\cdots\!60\)\( T^{24} - \)\(28\!\cdots\!27\)\( T^{25} + \)\(24\!\cdots\!01\)\( T^{26} - \)\(12\!\cdots\!23\)\( T^{27} + \)\(82\!\cdots\!44\)\( T^{28} - \)\(30\!\cdots\!87\)\( T^{29} + \)\(16\!\cdots\!78\)\( T^{30} - \)\(36\!\cdots\!29\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 - 8 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( 1 + 126 T^{2} + 9409 T^{4} \))(\( 1 + 18 T + 442 T^{2} + 4189 T^{3} + 69794 T^{4} + 518293 T^{5} + 8617712 T^{6} + 58308640 T^{7} + 835918064 T^{8} + 4876618837 T^{9} + 63699099362 T^{10} + 370849158109 T^{11} + 3795604393594 T^{12} + 14993496088722 T^{13} + 80798284478113 T^{14} \))(\( 1 - 2 T + 406 T^{2} - 1501 T^{3} + 83118 T^{4} - 316151 T^{5} + 11640474 T^{6} - 36654962 T^{7} + 1129125978 T^{8} - 2974664759 T^{9} + 75859554414 T^{10} - 132882450781 T^{11} + 3486460144342 T^{12} - 1665944009858 T^{13} + 80798284478113 T^{14} \))(\( 1 - 22 T + 737 T^{2} - 12005 T^{3} + 234846 T^{4} - 3026168 T^{5} + 43570118 T^{6} - 456214057 T^{7} + 5201155708 T^{8} - 44252763529 T^{9} + 409951240262 T^{10} - 2761901827064 T^{11} + 20790747525726 T^{12} - 103091019785285 T^{13} + 613900367632673 T^{14} - 1777562258518486 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 8 T + 295 T^{2} + 2277 T^{3} + 46822 T^{4} + 161732 T^{5} + 4429780 T^{6} + 2768625 T^{7} + 327609044 T^{8} + 268556625 T^{9} + 41679800020 T^{10} + 147608429636 T^{11} + 4145117994982 T^{12} + 19553373765189 T^{13} + 245726741454055 T^{14} + 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 46 T + 1536 T^{2} + 36375 T^{3} + 722125 T^{4} + 11918123 T^{5} + 173606904 T^{6} + 2215760787 T^{7} + 25567880954 T^{8} + 263833379194 T^{9} + 2480084452538 T^{10} + 20848093244883 T^{11} + 158446333894392 T^{12} + 1055102860059563 T^{13} + 6201133083086125 T^{14} + 30299356679292375 T^{15} + 124106164958381568 T^{16} + 360521945341340206 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 14 T + 680 T^{2} + 9041 T^{3} + 216161 T^{4} + 2668567 T^{5} + 42486978 T^{6} + 474030443 T^{7} + 5742991772 T^{8} + 55768294638 T^{9} + 557070201884 T^{10} + 4460152438187 T^{11} + 38776717672194 T^{12} + 236246317810327 T^{13} + 1856248057293377 T^{14} + 7530899896563089 T^{15} + 54942833445116840 T^{16} + 109724070321277454 T^{17} + 760231058654565217 T^{18} \))(\( 1 - 20 T + 723 T^{2} - 9755 T^{3} + 204095 T^{4} - 1956908 T^{5} + 31317745 T^{6} - 210880236 T^{7} + 3163205292 T^{8} - 15562139561 T^{9} + 285935861312 T^{10} - 1509527537417 T^{11} + 29762598592428 T^{12} - 192464697630828 T^{13} + 2772537447391345 T^{14} - 16804634847645356 T^{15} + 170005421345984255 T^{16} - 788187265083992315 T^{17} + 5666464488734542803 T^{18} - 15204621173091304340 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 10 T + 756 T^{2} + 7855 T^{3} + 266328 T^{4} + 2806903 T^{5} + 58801982 T^{6} + 612059284 T^{7} + 9267768323 T^{8} + 92358723823 T^{9} + 1124181595698 T^{10} + 10304382110874 T^{11} + 109045614782706 T^{12} + 869003232450607 T^{13} + 8458441918657379 T^{14} + 54185168341894804 T^{15} + 504952627219989374 T^{16} + 2338071619551224887 T^{17} + 21518845508486879064 T^{18} + 61563040883831028655 T^{19} + \)\(57\!\cdots\!52\)\( T^{20} + \)\(73\!\cdots\!90\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 + 36 T + 1266 T^{2} + 27191 T^{3} + 556122 T^{4} + 8598415 T^{5} + 128394178 T^{6} + 1559656446 T^{7} + 18870772507 T^{8} + 194207281221 T^{9} + 2088873949094 T^{10} + 19824881173574 T^{11} + 202620773062118 T^{12} + 1827296309008389 T^{13} + 17222844556281211 T^{14} + 138075263771395326 T^{15} + 1102564493503823746 T^{16} + 7162238981761587535 T^{17} + 44933703560537157786 T^{18} + \)\(21\!\cdots\!51\)\( T^{19} + \)\(96\!\cdots\!22\)\( T^{20} + \)\(26\!\cdots\!64\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 12 T + 712 T^{2} - 7645 T^{3} + 243150 T^{4} - 2381815 T^{5} + 53641358 T^{6} - 484671590 T^{7} + 8623514183 T^{8} - 71517516549 T^{9} + 1066426648980 T^{10} - 7953818250346 T^{11} + 103443384951060 T^{12} - 672908313209541 T^{13} + 7870448559941159 T^{14} - 42907627383826790 T^{15} + 460636592993549006 T^{16} - 1983985215919966135 T^{17} + 19646102870853175950 T^{18} - 59917179829011866845 T^{19} + \)\(54\!\cdots\!04\)\( T^{20} - \)\(88\!\cdots\!88\)\( T^{21} + \)\(71\!\cdots\!53\)\( T^{22} \))(\( 1 - 16 T + 768 T^{2} - 9963 T^{3} + 271397 T^{4} - 2982861 T^{5} + 60400002 T^{6} - 575174269 T^{7} + 9665431661 T^{8} - 81143911504 T^{9} + 1215307665894 T^{10} - 9251927923864 T^{11} + 130314023550725 T^{12} - 934117438361638 T^{13} + 12640460284420325 T^{14} - 87051389835636376 T^{15} + 1109178493354474662 T^{16} - 7183612142976748624 T^{17} + 83000350403787676877 T^{18} - \)\(47\!\cdots\!01\)\( T^{19} + \)\(48\!\cdots\!26\)\( T^{20} - \)\(23\!\cdots\!21\)\( T^{21} + \)\(20\!\cdots\!49\)\( T^{22} - \)\(73\!\cdots\!87\)\( T^{23} + \)\(54\!\cdots\!04\)\( T^{24} - \)\(11\!\cdots\!56\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 - 18 T + 706 T^{2} - 9939 T^{3} + 212259 T^{4} - 2346659 T^{5} + 35514660 T^{6} - 303399103 T^{7} + 3598842323 T^{8} - 22067211186 T^{9} + 222449099870 T^{10} - 704037987950 T^{11} + 9058822282309 T^{12} - 347221727922 T^{13} + 878705761383973 T^{14} - 6624293428621550 T^{15} + 203023287325652510 T^{16} - 1953594339971737266 T^{17} + 30904483558893297011 T^{18} - \)\(25\!\cdots\!87\)\( T^{19} + \)\(28\!\cdots\!80\)\( T^{20} - \)\(18\!\cdots\!99\)\( T^{21} + \)\(16\!\cdots\!03\)\( T^{22} - \)\(73\!\cdots\!11\)\( T^{23} + \)\(50\!\cdots\!18\)\( T^{24} - \)\(12\!\cdots\!38\)\( T^{25} + \)\(67\!\cdots\!77\)\( T^{26} \))(\( 1 + 10 T + 345 T^{2} + 2279 T^{3} + 67615 T^{4} + 376260 T^{5} + 10833487 T^{6} + 38356962 T^{7} + 1241388513 T^{8} + 976190753 T^{9} + 120494328187 T^{10} - 213149178130 T^{11} + 10753585684991 T^{12} - 51755863594118 T^{13} + 925622314032314 T^{14} - 5020318768629446 T^{15} + 101180487710080319 T^{16} - 194535499851441490 T^{17} + 10667276238973143547 T^{18} + 8382882151748043521 T^{19} + \)\(10\!\cdots\!77\)\( T^{20} + \)\(30\!\cdots\!06\)\( T^{21} + \)\(84\!\cdots\!07\)\( T^{22} + \)\(28\!\cdots\!20\)\( T^{23} + \)\(49\!\cdots\!35\)\( T^{24} + \)\(16\!\cdots\!87\)\( T^{25} + \)\(23\!\cdots\!45\)\( T^{26} + \)\(67\!\cdots\!70\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 4 T + 719 T^{2} - 2283 T^{3} + 264399 T^{4} - 692898 T^{5} + 66413545 T^{6} - 149943884 T^{7} + 12710926157 T^{8} - 25397805357 T^{9} + 1951704877029 T^{10} - 3504700187940 T^{11} + 247103566543395 T^{12} - 403285951218290 T^{13} + 26158268850230086 T^{14} - 39118737268174130 T^{15} + 2324997457606803555 T^{16} - 3198645234627763620 T^{17} + \)\(17\!\cdots\!49\)\( T^{18} - \)\(21\!\cdots\!49\)\( T^{19} + \)\(10\!\cdots\!53\)\( T^{20} - \)\(12\!\cdots\!92\)\( T^{21} + \)\(52\!\cdots\!45\)\( T^{22} - \)\(52\!\cdots\!66\)\( T^{23} + \)\(19\!\cdots\!51\)\( T^{24} - \)\(16\!\cdots\!99\)\( T^{25} + \)\(49\!\cdots\!79\)\( T^{26} - \)\(26\!\cdots\!08\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 30 T + 1224 T^{2} - 27369 T^{3} + 672716 T^{4} - 12203143 T^{5} + 228994162 T^{6} - 3535162238 T^{7} + 55178911436 T^{8} - 746487935951 T^{9} + 10111288051844 T^{10} - 122087274944103 T^{11} + 1469505823887552 T^{12} - 16008205908154188 T^{13} + 173512363541794889 T^{14} - 1713659295888031588 T^{15} + 16830699263554104233 T^{16} - \)\(15\!\cdots\!92\)\( T^{17} + \)\(13\!\cdots\!96\)\( T^{18} - \)\(10\!\cdots\!43\)\( T^{19} + \)\(86\!\cdots\!08\)\( T^{20} - \)\(62\!\cdots\!79\)\( T^{21} + \)\(44\!\cdots\!68\)\( T^{22} - \)\(27\!\cdots\!18\)\( T^{23} + \)\(17\!\cdots\!54\)\( T^{24} - \)\(89\!\cdots\!07\)\( T^{25} + \)\(48\!\cdots\!48\)\( T^{26} - \)\(18\!\cdots\!29\)\( T^{27} + \)\(82\!\cdots\!48\)\( T^{28} - \)\(19\!\cdots\!70\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 - 18 T + 753 T^{2} - 8197 T^{3} + 214972 T^{4} - 1240938 T^{5} + 34329006 T^{6} - 42347041 T^{7} + 4651603558 T^{8} + 4662251335 T^{9} + 738730003296 T^{10} + 225218209956 T^{11} + 105208123500252 T^{12} + 80832059826283 T^{13} + 11136434159635393 T^{14} + 26122283978651916 T^{15} + 1042916860139036674 T^{16} + 2533861545929235852 T^{17} + \)\(10\!\cdots\!37\)\( T^{18} + 73773238537833184459 T^{19} + \)\(93\!\cdots\!12\)\( T^{20} + \)\(19\!\cdots\!92\)\( T^{21} + \)\(61\!\cdots\!84\)\( T^{22} + \)\(37\!\cdots\!55\)\( T^{23} + \)\(36\!\cdots\!38\)\( T^{24} - \)\(32\!\cdots\!97\)\( T^{25} + \)\(25\!\cdots\!94\)\( T^{26} - \)\(88\!\cdots\!14\)\( T^{27} + \)\(14\!\cdots\!52\)\( T^{28} - \)\(55\!\cdots\!69\)\( T^{29} + \)\(49\!\cdots\!57\)\( T^{30} - \)\(11\!\cdots\!74\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))
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