Properties

Label 6422.2.a
Level 6422
Weight 2
Character orbit a
Rep. character \(\chi_{6422}(1,\cdot)\)
Character field \(\Q\)
Dimension 233
Newform subspaces 44
Sturm bound 1820
Trace bound 7

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 6422 = 2 \cdot 13^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6422.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 44 \)
Sturm bound: \(1820\)
Trace bound: \(7\)
Distinguishing \(T_p\): \(3\), \(5\), \(7\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(6422))\).

Total New Old
Modular forms 938 233 705
Cusp forms 883 233 650
Eisenstein series 55 0 55

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

\(2\)\(13\)\(19\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(26\)
\(+\)\(+\)\(-\)\(-\)\(30\)
\(+\)\(-\)\(+\)\(-\)\(33\)
\(+\)\(-\)\(-\)\(+\)\(27\)
\(-\)\(+\)\(+\)\(-\)\(34\)
\(-\)\(+\)\(-\)\(+\)\(23\)
\(-\)\(-\)\(+\)\(+\)\(24\)
\(-\)\(-\)\(-\)\(-\)\(36\)
Plus space\(+\)\(100\)
Minus space\(-\)\(133\)

Trace form

\( 233q + q^{2} - 4q^{3} + 233q^{4} - 6q^{5} - 6q^{6} - 6q^{7} + q^{8} + 235q^{9} + O(q^{10}) \) \( 233q + q^{2} - 4q^{3} + 233q^{4} - 6q^{5} - 6q^{6} - 6q^{7} + q^{8} + 235q^{9} + 2q^{10} + 8q^{11} - 4q^{12} - 4q^{14} - 4q^{15} + 233q^{16} + 8q^{17} + 13q^{18} - q^{19} - 6q^{20} - 4q^{21} - 4q^{22} - 14q^{23} - 6q^{24} + 223q^{25} - 16q^{27} - 6q^{28} + 2q^{29} + 12q^{30} - 20q^{31} + q^{32} + 18q^{34} + 36q^{35} + 235q^{36} - 2q^{37} + 3q^{38} + 2q^{40} - 6q^{41} + 26q^{42} - 12q^{43} + 8q^{44} - 10q^{45} + 4q^{46} + 4q^{47} - 4q^{48} + 211q^{49} + 15q^{50} + 32q^{51} + 26q^{53} - 18q^{54} - 8q^{55} - 4q^{56} - 2q^{57} - 12q^{59} - 4q^{60} + 10q^{61} + 28q^{62} + 32q^{63} + 233q^{64} + 36q^{66} - 4q^{67} + 8q^{68} + 12q^{69} - 4q^{70} + 12q^{71} + 13q^{72} - 36q^{73} + 18q^{74} + 52q^{75} - q^{76} + 20q^{77} + 20q^{79} - 6q^{80} + 241q^{81} + 26q^{82} + 48q^{83} - 4q^{84} + 40q^{85} + 24q^{86} + 26q^{87} - 4q^{88} + 6q^{89} + 38q^{90} - 14q^{92} + 20q^{93} - 24q^{94} - 2q^{95} - 6q^{96} + 38q^{97} + 33q^{98} + 52q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(6422))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 13 19
6422.2.a.a \(1\) \(51.280\) \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
6422.2.a.b \(1\) \(51.280\) \(\Q\) None \(-1\) \(-1\) \(4\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-3q^{7}+\cdots\)
6422.2.a.c \(1\) \(51.280\) \(\Q\) None \(-1\) \(1\) \(3\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
6422.2.a.d \(1\) \(51.280\) \(\Q\) None \(-1\) \(2\) \(-3\) \(0\) \(+\) \(+\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots\)
6422.2.a.e \(1\) \(51.280\) \(\Q\) None \(1\) \(-1\) \(-1\) \(1\) \(-\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
6422.2.a.f \(1\) \(51.280\) \(\Q\) None \(1\) \(0\) \(-2\) \(-4\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}-2q^{5}-4q^{7}+q^{8}-3q^{9}+\cdots\)
6422.2.a.g \(1\) \(51.280\) \(\Q\) None \(1\) \(1\) \(-3\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots\)
6422.2.a.h \(1\) \(51.280\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
6422.2.a.i \(1\) \(51.280\) \(\Q\) None \(1\) \(2\) \(3\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}+2q^{3}+q^{4}+3q^{5}+2q^{6}+q^{8}+\cdots\)
6422.2.a.j \(1\) \(51.280\) \(\Q\) None \(1\) \(3\) \(3\) \(-3\) \(-\) \(+\) \(+\) \(q+q^{2}+3q^{3}+q^{4}+3q^{5}+3q^{6}-3q^{7}+\cdots\)
6422.2.a.k \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-5\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
6422.2.a.l \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(2\) \(+\) \(+\) \(-\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
6422.2.a.m \(3\) \(51.280\) 3.3.169.1 None \(-3\) \(-2\) \(-2\) \(1\) \(+\) \(+\) \(+\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6422.2.a.n \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-1\) \(7\) \(4\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(3-\beta _{1}+\beta _{2})q^{5}+\cdots\)
6422.2.a.o \(3\) \(51.280\) 3.3.1129.1 None \(-3\) \(0\) \(0\) \(-4\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
6422.2.a.p \(3\) \(51.280\) 3.3.1129.1 None \(-3\) \(0\) \(2\) \(3\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
6422.2.a.q \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(-3\) \(5\) \(-5\) \(2\) \(+\) \(+\) \(-\) \(q-q^{2}+(2-\beta _{1})q^{3}+q^{4}+(-2-\beta _{2})q^{5}+\cdots\)
6422.2.a.r \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-2\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
6422.2.a.s \(3\) \(51.280\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(-3\) \(6\) \(-\) \(+\) \(+\) \(q+q^{2}+(-1-2\beta _{1}+\beta _{2})q^{3}+q^{4}+\cdots\)
6422.2.a.t \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(5\) \(-2\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(2+\cdots)q^{5}+\cdots\)
6422.2.a.u \(3\) \(51.280\) 3.3.169.1 None \(3\) \(-2\) \(2\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
6422.2.a.v \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(3\) \(-1\) \(-7\) \(-4\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-3+\beta _{1}-\beta _{2})q^{5}+\cdots\)
6422.2.a.w \(3\) \(51.280\) 3.3.361.1 None \(3\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.x \(3\) \(51.280\) 3.3.1129.1 None \(3\) \(0\) \(-2\) \(-3\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
6422.2.a.y \(3\) \(51.280\) 3.3.1129.1 None \(3\) \(0\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
6422.2.a.z \(4\) \(51.280\) 4.4.10273.1 None \(-4\) \(-2\) \(-1\) \(1\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
6422.2.a.ba \(4\) \(51.280\) 4.4.16609.1 None \(-4\) \(2\) \(-2\) \(-7\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
6422.2.a.bb \(4\) \(51.280\) 4.4.10273.1 None \(4\) \(-2\) \(1\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
6422.2.a.bc \(6\) \(51.280\) 6.6.316645497.1 None \(-6\) \(2\) \(-2\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bd \(6\) \(51.280\) 6.6.316645497.1 None \(6\) \(2\) \(2\) \(1\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.be \(7\) \(51.280\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(2\) \(-2\) \(-1\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bf \(7\) \(51.280\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(7\) \(2\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.bg \(8\) \(51.280\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-4\) \(2\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.bh \(8\) \(51.280\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(-4\) \(-2\) \(-2\) \(-\) \(-\) \(+\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bi \(9\) \(51.280\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-5\) \(-1\) \(13\) \(+\) \(-\) \(+\) \(q-q^{2}+(-1+\beta _{7})q^{3}+q^{4}+\beta _{4}q^{5}+\cdots\)
6422.2.a.bj \(9\) \(51.280\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(1\) \(-1\) \(13\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{6}q^{3}+q^{4}+(-1+\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
6422.2.a.bk \(9\) \(51.280\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-5\) \(1\) \(-13\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1+\beta _{7})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots\)
6422.2.a.bl \(9\) \(51.280\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(1\) \(1\) \(-13\) \(-\) \(-\) \(+\) \(q+q^{2}+\beta _{6}q^{3}+q^{4}+(1-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
6422.2.a.bm \(14\) \(51.280\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(4\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bn \(14\) \(51.280\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(14\) \(4\) \(-2\) \(2\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.bo \(15\) \(51.280\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-15\) \(0\) \(-1\) \(-18\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{10}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bp \(15\) \(51.280\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-15\) \(4\) \(-3\) \(-10\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{13}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bq \(15\) \(51.280\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(15\) \(0\) \(1\) \(18\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{10}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.br \(15\) \(51.280\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(15\) \(4\) \(3\) \(10\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{13}q^{5}+\beta _{1}q^{6}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(6422))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(6422)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(19))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(26))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(38))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(169))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(247))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(338))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(494))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3211))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{7} \))(\( ( 1 - T )^{7} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 - T )^{15} \))(\( ( 1 - T )^{15} \))
$3$ (\( 1 + T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 3 T + 5 T^{2} + 5 T^{3} + 15 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + 3 T + 5 T^{2} + 5 T^{3} + 15 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + 2 T + 6 T^{2} + 7 T^{3} + 18 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 + T + 7 T^{2} + 5 T^{3} + 21 T^{4} + 9 T^{5} + 27 T^{6} \))(\( 1 + 2 T^{2} - 3 T^{3} + 6 T^{4} + 27 T^{6} \))(\( 1 + 2 T^{2} - 3 T^{3} + 6 T^{4} + 27 T^{6} \))(\( 1 - 5 T + 15 T^{2} - 31 T^{3} + 45 T^{4} - 45 T^{5} + 27 T^{6} \))(\( 1 + 3 T + 5 T^{2} + 5 T^{3} + 15 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + 3 T + 3 T^{2} + T^{3} + 9 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + 3 T + 5 T^{2} + 5 T^{3} + 15 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + 2 T + 6 T^{2} + 7 T^{3} + 18 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 + T + 7 T^{2} + 5 T^{3} + 21 T^{4} + 9 T^{5} + 27 T^{6} \))(\( 1 + T + 3 T^{2} - T^{3} + 9 T^{4} + 9 T^{5} + 27 T^{6} \))(\( 1 + 2 T^{2} - 3 T^{3} + 6 T^{4} + 27 T^{6} \))(\( 1 + 2 T^{2} - 3 T^{3} + 6 T^{4} + 27 T^{6} \))(\( 1 + 2 T + 7 T^{2} + 17 T^{3} + 26 T^{4} + 51 T^{5} + 63 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 - 2 T + 7 T^{2} - 11 T^{3} + 29 T^{4} - 33 T^{5} + 63 T^{6} - 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T + 7 T^{2} + 17 T^{3} + 26 T^{4} + 51 T^{5} + 63 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 - 2 T + 6 T^{2} - 6 T^{3} + 4 T^{4} + 12 T^{5} - 25 T^{6} + 36 T^{7} + 36 T^{8} - 162 T^{9} + 486 T^{10} - 486 T^{11} + 729 T^{12} \))(\( 1 - 2 T + 6 T^{2} - 6 T^{3} + 4 T^{4} + 12 T^{5} - 25 T^{6} + 36 T^{7} + 36 T^{8} - 162 T^{9} + 486 T^{10} - 486 T^{11} + 729 T^{12} \))(\( 1 - 2 T + 5 T^{2} - 7 T^{3} + 9 T^{4} - T^{5} - 2 T^{6} + 10 T^{7} - 6 T^{8} - 9 T^{9} + 243 T^{10} - 567 T^{11} + 1215 T^{12} - 1458 T^{13} + 2187 T^{14} \))(\( 1 - 2 T + 5 T^{2} - 7 T^{3} + 9 T^{4} - T^{5} - 2 T^{6} + 10 T^{7} - 6 T^{8} - 9 T^{9} + 243 T^{10} - 567 T^{11} + 1215 T^{12} - 1458 T^{13} + 2187 T^{14} \))(\( 1 + 4 T + 20 T^{2} + 62 T^{3} + 183 T^{4} + 454 T^{5} + 1015 T^{6} + 2046 T^{7} + 3712 T^{8} + 6138 T^{9} + 9135 T^{10} + 12258 T^{11} + 14823 T^{12} + 15066 T^{13} + 14580 T^{14} + 8748 T^{15} + 6561 T^{16} \))(\( 1 + 4 T + 20 T^{2} + 62 T^{3} + 183 T^{4} + 454 T^{5} + 1015 T^{6} + 2046 T^{7} + 3712 T^{8} + 6138 T^{9} + 9135 T^{10} + 12258 T^{11} + 14823 T^{12} + 15066 T^{13} + 14580 T^{14} + 8748 T^{15} + 6561 T^{16} \))(\( 1 + 5 T + 21 T^{2} + 67 T^{3} + 187 T^{4} + 442 T^{5} + 968 T^{6} + 1911 T^{7} + 3600 T^{8} + 6311 T^{9} + 10800 T^{10} + 17199 T^{11} + 26136 T^{12} + 35802 T^{13} + 45441 T^{14} + 48843 T^{15} + 45927 T^{16} + 32805 T^{17} + 19683 T^{18} \))(\( 1 - T + 15 T^{2} - 17 T^{3} + 121 T^{4} - 140 T^{5} + 658 T^{6} - 725 T^{7} + 2622 T^{8} - 2587 T^{9} + 7866 T^{10} - 6525 T^{11} + 17766 T^{12} - 11340 T^{13} + 29403 T^{14} - 12393 T^{15} + 32805 T^{16} - 6561 T^{17} + 19683 T^{18} \))(\( 1 + 5 T + 21 T^{2} + 67 T^{3} + 187 T^{4} + 442 T^{5} + 968 T^{6} + 1911 T^{7} + 3600 T^{8} + 6311 T^{9} + 10800 T^{10} + 17199 T^{11} + 26136 T^{12} + 35802 T^{13} + 45441 T^{14} + 48843 T^{15} + 45927 T^{16} + 32805 T^{17} + 19683 T^{18} \))(\( 1 - T + 15 T^{2} - 17 T^{3} + 121 T^{4} - 140 T^{5} + 658 T^{6} - 725 T^{7} + 2622 T^{8} - 2587 T^{9} + 7866 T^{10} - 6525 T^{11} + 17766 T^{12} - 11340 T^{13} + 29403 T^{14} - 12393 T^{15} + 32805 T^{16} - 6561 T^{17} + 19683 T^{18} \))(\( 1 - 4 T + 20 T^{2} - 58 T^{3} + 191 T^{4} - 486 T^{5} + 1306 T^{6} - 3006 T^{7} + 7028 T^{8} - 14836 T^{9} + 31220 T^{10} - 61076 T^{11} + 117701 T^{12} - 213952 T^{13} + 380584 T^{14} - 641856 T^{15} + 1059309 T^{16} - 1649052 T^{17} + 2528820 T^{18} - 3605148 T^{19} + 5123412 T^{20} - 6574122 T^{21} + 8568666 T^{22} - 9565938 T^{23} + 11278359 T^{24} - 10274526 T^{25} + 10628820 T^{26} - 6377292 T^{27} + 4782969 T^{28} \))(\( 1 - 4 T + 20 T^{2} - 58 T^{3} + 191 T^{4} - 486 T^{5} + 1306 T^{6} - 3006 T^{7} + 7028 T^{8} - 14836 T^{9} + 31220 T^{10} - 61076 T^{11} + 117701 T^{12} - 213952 T^{13} + 380584 T^{14} - 641856 T^{15} + 1059309 T^{16} - 1649052 T^{17} + 2528820 T^{18} - 3605148 T^{19} + 5123412 T^{20} - 6574122 T^{21} + 8568666 T^{22} - 9565938 T^{23} + 11278359 T^{24} - 10274526 T^{25} + 10628820 T^{26} - 6377292 T^{27} + 4782969 T^{28} \))(\( 1 + 14 T^{2} - 4 T^{3} + 109 T^{4} - 59 T^{5} + 624 T^{6} - 462 T^{7} + 2993 T^{8} - 2594 T^{9} + 12519 T^{10} - 11677 T^{11} + 46239 T^{12} - 44425 T^{13} + 152709 T^{14} - 144046 T^{15} + 458127 T^{16} - 399825 T^{17} + 1248453 T^{18} - 945837 T^{19} + 3042117 T^{20} - 1891026 T^{21} + 6545691 T^{22} - 3031182 T^{23} + 12282192 T^{24} - 3483891 T^{25} + 19309023 T^{26} - 2125764 T^{27} + 22320522 T^{28} + 14348907 T^{30} \))(\( 1 - 4 T + 22 T^{2} - 68 T^{3} + 233 T^{4} - 603 T^{5} + 1660 T^{6} - 3836 T^{7} + 9205 T^{8} - 19558 T^{9} + 42397 T^{10} - 83719 T^{11} + 167247 T^{12} - 308933 T^{13} + 574091 T^{14} - 992758 T^{15} + 1722273 T^{16} - 2780397 T^{17} + 4515669 T^{18} - 6781239 T^{19} + 10302471 T^{20} - 14257782 T^{21} + 20131335 T^{22} - 25167996 T^{23} + 32673780 T^{24} - 35606547 T^{25} + 41275251 T^{26} - 36137988 T^{27} + 35075106 T^{28} - 19131876 T^{29} + 14348907 T^{30} \))(\( 1 + 14 T^{2} - 4 T^{3} + 109 T^{4} - 59 T^{5} + 624 T^{6} - 462 T^{7} + 2993 T^{8} - 2594 T^{9} + 12519 T^{10} - 11677 T^{11} + 46239 T^{12} - 44425 T^{13} + 152709 T^{14} - 144046 T^{15} + 458127 T^{16} - 399825 T^{17} + 1248453 T^{18} - 945837 T^{19} + 3042117 T^{20} - 1891026 T^{21} + 6545691 T^{22} - 3031182 T^{23} + 12282192 T^{24} - 3483891 T^{25} + 19309023 T^{26} - 2125764 T^{27} + 22320522 T^{28} + 14348907 T^{30} \))(\( 1 - 4 T + 22 T^{2} - 68 T^{3} + 233 T^{4} - 603 T^{5} + 1660 T^{6} - 3836 T^{7} + 9205 T^{8} - 19558 T^{9} + 42397 T^{10} - 83719 T^{11} + 167247 T^{12} - 308933 T^{13} + 574091 T^{14} - 992758 T^{15} + 1722273 T^{16} - 2780397 T^{17} + 4515669 T^{18} - 6781239 T^{19} + 10302471 T^{20} - 14257782 T^{21} + 20131335 T^{22} - 25167996 T^{23} + 32673780 T^{24} - 35606547 T^{25} + 41275251 T^{26} - 36137988 T^{27} + 35075106 T^{28} - 19131876 T^{29} + 14348907 T^{30} \))
$5$ (\( 1 - T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 5 T + 21 T^{2} + 51 T^{3} + 105 T^{4} + 125 T^{5} + 125 T^{6} \))(\( 1 - 3 T + 11 T^{2} - 17 T^{3} + 55 T^{4} - 75 T^{5} + 125 T^{6} \))(\( 1 + 2 T + 12 T^{2} + 15 T^{3} + 60 T^{4} + 50 T^{5} + 125 T^{6} \))(\( 1 - 7 T + 29 T^{2} - 77 T^{3} + 145 T^{4} - 175 T^{5} + 125 T^{6} \))(\( ( 1 + 5 T^{2} )^{3} \))(\( 1 - 2 T + 7 T^{3} - 50 T^{5} + 125 T^{6} \))(\( 1 + 5 T + 21 T^{2} + 51 T^{3} + 105 T^{4} + 125 T^{5} + 125 T^{6} \))(\( 1 + 3 T + 11 T^{2} + 17 T^{3} + 55 T^{4} + 75 T^{5} + 125 T^{6} \))(\( 1 + 3 T - 3 T^{2} - 27 T^{3} - 15 T^{4} + 75 T^{5} + 125 T^{6} \))(\( 1 - 5 T + 21 T^{2} - 51 T^{3} + 105 T^{4} - 125 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 12 T^{2} - 15 T^{3} + 60 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 + 7 T + 29 T^{2} + 77 T^{3} + 145 T^{4} + 175 T^{5} + 125 T^{6} \))(\( 1 + T + 9 T^{2} + 3 T^{3} + 45 T^{4} + 25 T^{5} + 125 T^{6} \))(\( 1 + 2 T - 7 T^{3} + 50 T^{5} + 125 T^{6} \))(\( ( 1 + 5 T^{2} )^{3} \))(\( 1 + T + 9 T^{2} + T^{3} + 39 T^{4} + 5 T^{5} + 225 T^{6} + 125 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 11 T^{2} + 19 T^{3} + 57 T^{4} + 95 T^{5} + 275 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 - T + 9 T^{2} - T^{3} + 39 T^{4} - 5 T^{5} + 225 T^{6} - 125 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 9 T^{2} - T^{3} + 19 T^{4} - 121 T^{5} - 74 T^{6} - 605 T^{7} + 475 T^{8} - 125 T^{9} + 5625 T^{10} + 6250 T^{11} + 15625 T^{12} \))(\( 1 - 2 T + 9 T^{2} + T^{3} + 19 T^{4} + 121 T^{5} - 74 T^{6} + 605 T^{7} + 475 T^{8} + 125 T^{9} + 5625 T^{10} - 6250 T^{11} + 15625 T^{12} \))(\( 1 + 2 T + 16 T^{2} + 31 T^{3} + 127 T^{4} + 240 T^{5} + 764 T^{6} + 1334 T^{7} + 3820 T^{8} + 6000 T^{9} + 15875 T^{10} + 19375 T^{11} + 50000 T^{12} + 31250 T^{13} + 78125 T^{14} \))(\( 1 - 2 T + 16 T^{2} - 31 T^{3} + 127 T^{4} - 240 T^{5} + 764 T^{6} - 1334 T^{7} + 3820 T^{8} - 6000 T^{9} + 15875 T^{10} - 19375 T^{11} + 50000 T^{12} - 31250 T^{13} + 78125 T^{14} \))(\( 1 - 2 T + 29 T^{2} - 50 T^{3} + 395 T^{4} - 586 T^{5} + 3373 T^{6} - 4278 T^{7} + 19977 T^{8} - 21390 T^{9} + 84325 T^{10} - 73250 T^{11} + 246875 T^{12} - 156250 T^{13} + 453125 T^{14} - 156250 T^{15} + 390625 T^{16} \))(\( 1 + 2 T + 29 T^{2} + 50 T^{3} + 395 T^{4} + 586 T^{5} + 3373 T^{6} + 4278 T^{7} + 19977 T^{8} + 21390 T^{9} + 84325 T^{10} + 73250 T^{11} + 246875 T^{12} + 156250 T^{13} + 453125 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 + T + 21 T^{2} + 19 T^{3} + 178 T^{4} + 134 T^{5} + 675 T^{6} + 373 T^{7} + 645 T^{8} + 529 T^{9} + 3225 T^{10} + 9325 T^{11} + 84375 T^{12} + 83750 T^{13} + 556250 T^{14} + 296875 T^{15} + 1640625 T^{16} + 390625 T^{17} + 1953125 T^{18} \))(\( 1 + T + 19 T^{2} + 19 T^{3} + 172 T^{4} + 238 T^{5} + 1029 T^{6} + 2083 T^{7} + 5065 T^{8} + 12599 T^{9} + 25325 T^{10} + 52075 T^{11} + 128625 T^{12} + 148750 T^{13} + 537500 T^{14} + 296875 T^{15} + 1484375 T^{16} + 390625 T^{17} + 1953125 T^{18} \))(\( 1 - T + 21 T^{2} - 19 T^{3} + 178 T^{4} - 134 T^{5} + 675 T^{6} - 373 T^{7} + 645 T^{8} - 529 T^{9} + 3225 T^{10} - 9325 T^{11} + 84375 T^{12} - 83750 T^{13} + 556250 T^{14} - 296875 T^{15} + 1640625 T^{16} - 390625 T^{17} + 1953125 T^{18} \))(\( 1 - T + 19 T^{2} - 19 T^{3} + 172 T^{4} - 238 T^{5} + 1029 T^{6} - 2083 T^{7} + 5065 T^{8} - 12599 T^{9} + 25325 T^{10} - 52075 T^{11} + 128625 T^{12} - 148750 T^{13} + 537500 T^{14} - 296875 T^{15} + 1484375 T^{16} - 390625 T^{17} + 1953125 T^{18} \))(\( 1 - 2 T + 15 T^{2} - 42 T^{3} + 220 T^{4} - 576 T^{5} + 2194 T^{6} - 5716 T^{7} + 19323 T^{8} - 46434 T^{9} + 137927 T^{10} - 315362 T^{11} + 861096 T^{12} - 1836028 T^{13} + 4588368 T^{14} - 9180140 T^{15} + 21527400 T^{16} - 39420250 T^{17} + 86204375 T^{18} - 145106250 T^{19} + 301921875 T^{20} - 446562500 T^{21} + 857031250 T^{22} - 1125000000 T^{23} + 2148437500 T^{24} - 2050781250 T^{25} + 3662109375 T^{26} - 2441406250 T^{27} + 6103515625 T^{28} \))(\( 1 + 2 T + 15 T^{2} + 42 T^{3} + 220 T^{4} + 576 T^{5} + 2194 T^{6} + 5716 T^{7} + 19323 T^{8} + 46434 T^{9} + 137927 T^{10} + 315362 T^{11} + 861096 T^{12} + 1836028 T^{13} + 4588368 T^{14} + 9180140 T^{15} + 21527400 T^{16} + 39420250 T^{17} + 86204375 T^{18} + 145106250 T^{19} + 301921875 T^{20} + 446562500 T^{21} + 857031250 T^{22} + 1125000000 T^{23} + 2148437500 T^{24} + 2050781250 T^{25} + 3662109375 T^{26} + 2441406250 T^{27} + 6103515625 T^{28} \))(\( 1 + T + 34 T^{2} + 32 T^{3} + 626 T^{4} + 550 T^{5} + 8063 T^{6} + 6565 T^{7} + 80536 T^{8} + 60720 T^{9} + 656365 T^{10} + 458425 T^{11} + 4488980 T^{12} + 2908865 T^{13} + 26159177 T^{14} + 15721783 T^{15} + 130795885 T^{16} + 72721625 T^{17} + 561122500 T^{18} + 286515625 T^{19} + 2051140625 T^{20} + 948750000 T^{21} + 6291875000 T^{22} + 2564453125 T^{23} + 15748046875 T^{24} + 5371093750 T^{25} + 30566406250 T^{26} + 7812500000 T^{27} + 41503906250 T^{28} + 6103515625 T^{29} + 30517578125 T^{30} \))(\( 1 + 3 T + 38 T^{2} + 104 T^{3} + 702 T^{4} + 1830 T^{5} + 8631 T^{6} + 21883 T^{7} + 80994 T^{8} + 199534 T^{9} + 623987 T^{10} + 1473729 T^{11} + 4102988 T^{12} + 9163699 T^{13} + 23452041 T^{14} + 49135167 T^{15} + 117260205 T^{16} + 229092475 T^{17} + 512873500 T^{18} + 921080625 T^{19} + 1949959375 T^{20} + 3117718750 T^{21} + 6327656250 T^{22} + 8548046875 T^{23} + 16857421875 T^{24} + 17871093750 T^{25} + 34277343750 T^{26} + 25390625000 T^{27} + 46386718750 T^{28} + 18310546875 T^{29} + 30517578125 T^{30} \))(\( 1 - T + 34 T^{2} - 32 T^{3} + 626 T^{4} - 550 T^{5} + 8063 T^{6} - 6565 T^{7} + 80536 T^{8} - 60720 T^{9} + 656365 T^{10} - 458425 T^{11} + 4488980 T^{12} - 2908865 T^{13} + 26159177 T^{14} - 15721783 T^{15} + 130795885 T^{16} - 72721625 T^{17} + 561122500 T^{18} - 286515625 T^{19} + 2051140625 T^{20} - 948750000 T^{21} + 6291875000 T^{22} - 2564453125 T^{23} + 15748046875 T^{24} - 5371093750 T^{25} + 30566406250 T^{26} - 7812500000 T^{27} + 41503906250 T^{28} - 6103515625 T^{29} + 30517578125 T^{30} \))(\( 1 - 3 T + 38 T^{2} - 104 T^{3} + 702 T^{4} - 1830 T^{5} + 8631 T^{6} - 21883 T^{7} + 80994 T^{8} - 199534 T^{9} + 623987 T^{10} - 1473729 T^{11} + 4102988 T^{12} - 9163699 T^{13} + 23452041 T^{14} - 49135167 T^{15} + 117260205 T^{16} - 229092475 T^{17} + 512873500 T^{18} - 921080625 T^{19} + 1949959375 T^{20} - 3117718750 T^{21} + 6327656250 T^{22} - 8548046875 T^{23} + 16857421875 T^{24} - 17871093750 T^{25} + 34277343750 T^{26} - 25390625000 T^{27} + 46386718750 T^{28} - 18310546875 T^{29} + 30517578125 T^{30} \))
$7$ (\( 1 - 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 - 2 T + 13 T^{2} - 20 T^{3} + 91 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 13 T^{2} - 20 T^{3} + 91 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 - T + 17 T^{2} - 15 T^{3} + 119 T^{4} - 49 T^{5} + 343 T^{6} \))(\( 1 - 4 T + 17 T^{2} - 48 T^{3} + 119 T^{4} - 196 T^{5} + 343 T^{6} \))(\( 1 + 4 T - 25 T^{3} + 196 T^{5} + 343 T^{6} \))(\( 1 - 3 T + 17 T^{2} - 39 T^{3} + 119 T^{4} - 147 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 13 T^{2} - 20 T^{3} + 91 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 13 T^{2} + 20 T^{3} + 91 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 21 T^{2} - 60 T^{3} + 147 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 13 T^{2} + 20 T^{3} + 91 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 + T + 17 T^{2} + 15 T^{3} + 119 T^{4} + 49 T^{5} + 343 T^{6} \))(\( 1 + 4 T + 17 T^{2} + 48 T^{3} + 119 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 + 2 T - 3 T^{2} - 28 T^{3} - 21 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 + 3 T + 17 T^{2} + 39 T^{3} + 119 T^{4} + 147 T^{5} + 343 T^{6} \))(\( 1 - 4 T + 25 T^{3} - 196 T^{5} + 343 T^{6} \))(\( 1 - T + 20 T^{2} - 22 T^{3} + 190 T^{4} - 154 T^{5} + 980 T^{6} - 343 T^{7} + 2401 T^{8} \))(\( 1 + 7 T + 34 T^{2} + 123 T^{3} + 370 T^{4} + 861 T^{5} + 1666 T^{6} + 2401 T^{7} + 2401 T^{8} \))(\( 1 + T + 20 T^{2} + 22 T^{3} + 190 T^{4} + 154 T^{5} + 980 T^{6} + 343 T^{7} + 2401 T^{8} \))(\( 1 + T + 25 T^{2} + 10 T^{3} + 316 T^{4} + 82 T^{5} + 2711 T^{6} + 574 T^{7} + 15484 T^{8} + 3430 T^{9} + 60025 T^{10} + 16807 T^{11} + 117649 T^{12} \))(\( 1 - T + 25 T^{2} - 10 T^{3} + 316 T^{4} - 82 T^{5} + 2711 T^{6} - 574 T^{7} + 15484 T^{8} - 3430 T^{9} + 60025 T^{10} - 16807 T^{11} + 117649 T^{12} \))(\( 1 + T + 18 T^{2} + 11 T^{3} + 164 T^{4} + 167 T^{5} + 1491 T^{6} + 1930 T^{7} + 10437 T^{8} + 8183 T^{9} + 56252 T^{10} + 26411 T^{11} + 302526 T^{12} + 117649 T^{13} + 823543 T^{14} \))(\( 1 - T + 18 T^{2} - 11 T^{3} + 164 T^{4} - 167 T^{5} + 1491 T^{6} - 1930 T^{7} + 10437 T^{8} - 8183 T^{9} + 56252 T^{10} - 26411 T^{11} + 302526 T^{12} - 117649 T^{13} + 823543 T^{14} \))(\( 1 - 2 T + 37 T^{2} - 60 T^{3} + 660 T^{4} - 948 T^{5} + 7656 T^{6} - 9770 T^{7} + 62956 T^{8} - 68390 T^{9} + 375144 T^{10} - 325164 T^{11} + 1584660 T^{12} - 1008420 T^{13} + 4353013 T^{14} - 1647086 T^{15} + 5764801 T^{16} \))(\( 1 + 2 T + 37 T^{2} + 60 T^{3} + 660 T^{4} + 948 T^{5} + 7656 T^{6} + 9770 T^{7} + 62956 T^{8} + 68390 T^{9} + 375144 T^{10} + 325164 T^{11} + 1584660 T^{12} + 1008420 T^{13} + 4353013 T^{14} + 1647086 T^{15} + 5764801 T^{16} \))(\( 1 - 13 T + 115 T^{2} - 742 T^{3} + 3932 T^{4} - 17561 T^{5} + 68433 T^{6} - 235823 T^{7} + 728336 T^{8} - 2027137 T^{9} + 5098352 T^{10} - 11555327 T^{11} + 23472519 T^{12} - 42163961 T^{13} + 66085124 T^{14} - 87295558 T^{15} + 94707445 T^{16} - 74942413 T^{17} + 40353607 T^{18} \))(\( 1 - 13 T + 107 T^{2} - 658 T^{3} + 3346 T^{4} - 14539 T^{5} + 55629 T^{6} - 189549 T^{7} + 582362 T^{8} - 1617293 T^{9} + 4076534 T^{10} - 9287901 T^{11} + 19080747 T^{12} - 34908139 T^{13} + 56236222 T^{14} - 77413042 T^{15} + 88119101 T^{16} - 74942413 T^{17} + 40353607 T^{18} \))(\( 1 + 13 T + 115 T^{2} + 742 T^{3} + 3932 T^{4} + 17561 T^{5} + 68433 T^{6} + 235823 T^{7} + 728336 T^{8} + 2027137 T^{9} + 5098352 T^{10} + 11555327 T^{11} + 23472519 T^{12} + 42163961 T^{13} + 66085124 T^{14} + 87295558 T^{15} + 94707445 T^{16} + 74942413 T^{17} + 40353607 T^{18} \))(\( 1 + 13 T + 107 T^{2} + 658 T^{3} + 3346 T^{4} + 14539 T^{5} + 55629 T^{6} + 189549 T^{7} + 582362 T^{8} + 1617293 T^{9} + 4076534 T^{10} + 9287901 T^{11} + 19080747 T^{12} + 34908139 T^{13} + 56236222 T^{14} + 77413042 T^{15} + 88119101 T^{16} + 74942413 T^{17} + 40353607 T^{18} \))(\( 1 + 2 T + 37 T^{2} + 52 T^{3} + 692 T^{4} + 476 T^{5} + 8723 T^{6} - 20 T^{7} + 89015 T^{8} - 43350 T^{9} + 837364 T^{10} - 511212 T^{11} + 7327009 T^{12} - 3867444 T^{13} + 55846718 T^{14} - 27072108 T^{15} + 359023441 T^{16} - 175345716 T^{17} + 2010510964 T^{18} - 728583450 T^{19} + 10472525735 T^{20} - 16470860 T^{21} + 50286359123 T^{22} + 19208316932 T^{23} + 195472872308 T^{24} + 102820990636 T^{25} + 512127626437 T^{26} + 193778020814 T^{27} + 678223072849 T^{28} \))(\( 1 - 2 T + 37 T^{2} - 52 T^{3} + 692 T^{4} - 476 T^{5} + 8723 T^{6} + 20 T^{7} + 89015 T^{8} + 43350 T^{9} + 837364 T^{10} + 511212 T^{11} + 7327009 T^{12} + 3867444 T^{13} + 55846718 T^{14} + 27072108 T^{15} + 359023441 T^{16} + 175345716 T^{17} + 2010510964 T^{18} + 728583450 T^{19} + 10472525735 T^{20} + 16470860 T^{21} + 50286359123 T^{22} - 19208316932 T^{23} + 195472872308 T^{24} - 102820990636 T^{25} + 512127626437 T^{26} - 193778020814 T^{27} + 678223072849 T^{28} \))(\( 1 + 18 T + 200 T^{2} + 1639 T^{3} + 10925 T^{4} + 61993 T^{5} + 309200 T^{6} + 1384776 T^{7} + 5661343 T^{8} + 21394830 T^{9} + 75484708 T^{10} + 250529448 T^{11} + 786663536 T^{12} + 2346178489 T^{13} + 6663812981 T^{14} + 18049598790 T^{15} + 46646690867 T^{16} + 114962745961 T^{17} + 269825592848 T^{18} + 601521204648 T^{19} + 1268671487356 T^{20} + 2517080354670 T^{21} + 4662359398249 T^{22} + 7982958069576 T^{23} + 12477335284400 T^{24} + 17511488111257 T^{25} + 21602294667275 T^{26} + 22685869722439 T^{27} + 19377802081400 T^{28} + 12208015311282 T^{29} + 4747561509943 T^{30} \))(\( 1 + 10 T + 98 T^{2} + 655 T^{3} + 4129 T^{4} + 21639 T^{5} + 107142 T^{6} + 470692 T^{7} + 1963397 T^{8} + 7480644 T^{9} + 27176864 T^{10} + 91535302 T^{11} + 294825410 T^{12} + 887251459 T^{13} + 2557653345 T^{14} + 6912223478 T^{15} + 17903573415 T^{16} + 43475321491 T^{17} + 101125115630 T^{18} + 219776260102 T^{19} + 456761553248 T^{20} + 880090285956 T^{21} + 1616941855571 T^{22} + 2713445712292 T^{23} + 4323566161194 T^{24} + 6112481913111 T^{25} + 8164382121847 T^{26} + 9066043116655 T^{27} + 9495123019886 T^{28} + 6782230728490 T^{29} + 4747561509943 T^{30} \))(\( 1 - 18 T + 200 T^{2} - 1639 T^{3} + 10925 T^{4} - 61993 T^{5} + 309200 T^{6} - 1384776 T^{7} + 5661343 T^{8} - 21394830 T^{9} + 75484708 T^{10} - 250529448 T^{11} + 786663536 T^{12} - 2346178489 T^{13} + 6663812981 T^{14} - 18049598790 T^{15} + 46646690867 T^{16} - 114962745961 T^{17} + 269825592848 T^{18} - 601521204648 T^{19} + 1268671487356 T^{20} - 2517080354670 T^{21} + 4662359398249 T^{22} - 7982958069576 T^{23} + 12477335284400 T^{24} - 17511488111257 T^{25} + 21602294667275 T^{26} - 22685869722439 T^{27} + 19377802081400 T^{28} - 12208015311282 T^{29} + 4747561509943 T^{30} \))(\( 1 - 10 T + 98 T^{2} - 655 T^{3} + 4129 T^{4} - 21639 T^{5} + 107142 T^{6} - 470692 T^{7} + 1963397 T^{8} - 7480644 T^{9} + 27176864 T^{10} - 91535302 T^{11} + 294825410 T^{12} - 887251459 T^{13} + 2557653345 T^{14} - 6912223478 T^{15} + 17903573415 T^{16} - 43475321491 T^{17} + 101125115630 T^{18} - 219776260102 T^{19} + 456761553248 T^{20} - 880090285956 T^{21} + 1616941855571 T^{22} - 2713445712292 T^{23} + 4323566161194 T^{24} - 6112481913111 T^{25} + 8164382121847 T^{26} - 9066043116655 T^{27} + 9495123019886 T^{28} - 6782230728490 T^{29} + 4747561509943 T^{30} \))
$11$ (\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 7 T + 33 T^{2} - 105 T^{3} + 363 T^{4} - 847 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 25 T^{2} + 36 T^{3} + 275 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - 8 T + 50 T^{2} - 181 T^{3} + 550 T^{4} - 968 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 25 T^{2} + 36 T^{3} + 275 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( ( 1 + 11 T^{2} )^{3} \))(\( 1 + 2 T + 18 T^{2} + 17 T^{3} + 198 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - T + 3 T^{2} + 21 T^{3} + 33 T^{4} - 121 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 25 T^{2} - 36 T^{3} + 275 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 - 3 T + 15 T^{2} - 9 T^{3} + 165 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 + 7 T + 33 T^{2} + 105 T^{3} + 363 T^{4} + 847 T^{5} + 1331 T^{6} \))(\( 1 + 8 T + 50 T^{2} + 181 T^{3} + 550 T^{4} + 968 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 25 T^{2} - 36 T^{3} + 275 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 - T + 27 T^{2} - 15 T^{3} + 297 T^{4} - 121 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 18 T^{2} - 17 T^{3} + 198 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( ( 1 + 11 T^{2} )^{3} \))(\( 1 - 2 T + 35 T^{2} - 49 T^{3} + 534 T^{4} - 539 T^{5} + 4235 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 + T + 22 T^{2} - 2 T^{3} + 254 T^{4} - 22 T^{5} + 2662 T^{6} + 1331 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 35 T^{2} + 49 T^{3} + 534 T^{4} + 539 T^{5} + 4235 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 45 T^{2} + 59 T^{3} + 955 T^{4} + 881 T^{5} + 12718 T^{6} + 9691 T^{7} + 115555 T^{8} + 78529 T^{9} + 658845 T^{10} + 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 2 T + 45 T^{2} - 59 T^{3} + 955 T^{4} - 881 T^{5} + 12718 T^{6} - 9691 T^{7} + 115555 T^{8} - 78529 T^{9} + 658845 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 + 5 T + 43 T^{2} + 165 T^{3} + 989 T^{4} + 3235 T^{5} + 14907 T^{6} + 41222 T^{7} + 163977 T^{8} + 391435 T^{9} + 1316359 T^{10} + 2415765 T^{11} + 6925193 T^{12} + 8857805 T^{13} + 19487171 T^{14} \))(\( 1 - 5 T + 43 T^{2} - 165 T^{3} + 989 T^{4} - 3235 T^{5} + 14907 T^{6} - 41222 T^{7} + 163977 T^{8} - 391435 T^{9} + 1316359 T^{10} - 2415765 T^{11} + 6925193 T^{12} - 8857805 T^{13} + 19487171 T^{14} \))(\( 1 - 10 T + 106 T^{2} - 700 T^{3} + 4325 T^{4} - 21458 T^{5} + 96617 T^{6} - 378386 T^{7} + 1332028 T^{8} - 4162246 T^{9} + 11690657 T^{10} - 28560598 T^{11} + 63322325 T^{12} - 112735700 T^{13} + 187785466 T^{14} - 194871710 T^{15} + 214358881 T^{16} \))(\( 1 + 10 T + 106 T^{2} + 700 T^{3} + 4325 T^{4} + 21458 T^{5} + 96617 T^{6} + 378386 T^{7} + 1332028 T^{8} + 4162246 T^{9} + 11690657 T^{10} + 28560598 T^{11} + 63322325 T^{12} + 112735700 T^{13} + 187785466 T^{14} + 194871710 T^{15} + 214358881 T^{16} \))(\( 1 - 13 T + 118 T^{2} - 725 T^{3} + 3628 T^{4} - 13856 T^{5} + 44079 T^{6} - 105121 T^{7} + 225932 T^{8} - 504335 T^{9} + 2485252 T^{10} - 12719641 T^{11} + 58669149 T^{12} - 202865696 T^{13} + 584293028 T^{14} - 1284381725 T^{15} + 2299486178 T^{16} - 2786665453 T^{17} + 2357947691 T^{18} \))(\( 1 - 3 T + 40 T^{2} - 75 T^{3} + 954 T^{4} - 1470 T^{5} + 16037 T^{6} - 17869 T^{7} + 214516 T^{8} - 222359 T^{9} + 2359676 T^{10} - 2162149 T^{11} + 21345247 T^{12} - 21522270 T^{13} + 153642654 T^{14} - 132867075 T^{15} + 779486840 T^{16} - 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 + 13 T + 118 T^{2} + 725 T^{3} + 3628 T^{4} + 13856 T^{5} + 44079 T^{6} + 105121 T^{7} + 225932 T^{8} + 504335 T^{9} + 2485252 T^{10} + 12719641 T^{11} + 58669149 T^{12} + 202865696 T^{13} + 584293028 T^{14} + 1284381725 T^{15} + 2299486178 T^{16} + 2786665453 T^{17} + 2357947691 T^{18} \))(\( 1 + 3 T + 40 T^{2} + 75 T^{3} + 954 T^{4} + 1470 T^{5} + 16037 T^{6} + 17869 T^{7} + 214516 T^{8} + 222359 T^{9} + 2359676 T^{10} + 2162149 T^{11} + 21345247 T^{12} + 21522270 T^{13} + 153642654 T^{14} + 132867075 T^{15} + 779486840 T^{16} + 643076643 T^{17} + 2357947691 T^{18} \))(\( 1 + 10 T + 84 T^{2} + 508 T^{3} + 2900 T^{4} + 14176 T^{5} + 68405 T^{6} + 301338 T^{7} + 1305420 T^{8} + 5227930 T^{9} + 20633764 T^{10} + 76416032 T^{11} + 279713911 T^{12} + 968254618 T^{13} + 3307838342 T^{14} + 10650800798 T^{15} + 33845383231 T^{16} + 101709738592 T^{17} + 302098938724 T^{18} + 841963354430 T^{19} + 2312631160620 T^{20} + 5872225134798 T^{21} + 14663219254805 T^{22} + 33426266467616 T^{23} + 75218531342900 T^{24} + 144938328670388 T^{25} + 263627983644564 T^{26} + 345227121439310 T^{27} + 379749833583241 T^{28} \))(\( 1 - 10 T + 84 T^{2} - 508 T^{3} + 2900 T^{4} - 14176 T^{5} + 68405 T^{6} - 301338 T^{7} + 1305420 T^{8} - 5227930 T^{9} + 20633764 T^{10} - 76416032 T^{11} + 279713911 T^{12} - 968254618 T^{13} + 3307838342 T^{14} - 10650800798 T^{15} + 33845383231 T^{16} - 101709738592 T^{17} + 302098938724 T^{18} - 841963354430 T^{19} + 2312631160620 T^{20} - 5872225134798 T^{21} + 14663219254805 T^{22} - 33426266467616 T^{23} + 75218531342900 T^{24} - 144938328670388 T^{25} + 263627983644564 T^{26} - 345227121439310 T^{27} + 379749833583241 T^{28} \))(\( 1 + 4 T + 71 T^{2} + 231 T^{3} + 2474 T^{4} + 6430 T^{5} + 57326 T^{6} + 122706 T^{7} + 1042932 T^{8} + 1949592 T^{9} + 16385389 T^{10} + 28171631 T^{11} + 228437691 T^{12} + 368573804 T^{13} + 2826312324 T^{14} + 4296596972 T^{15} + 31089435564 T^{16} + 44597430284 T^{17} + 304050566721 T^{18} + 412460849471 T^{19} + 2638883283839 T^{20} + 3453821153112 T^{21} + 20323794225372 T^{22} + 26303120851986 T^{23} + 135171709334266 T^{24} + 166777640184430 T^{25} + 705861073091614 T^{26} + 724976955022551 T^{27} + 2451112562219101 T^{28} + 1518999334332964 T^{29} + 4177248169415651 T^{30} \))(\( 1 + 4 T + 89 T^{2} + 275 T^{3} + 3776 T^{4} + 9198 T^{5} + 105260 T^{6} + 205268 T^{7} + 2226512 T^{8} + 3567980 T^{9} + 38647853 T^{10} + 52937425 T^{11} + 571407541 T^{12} + 696361848 T^{13} + 7281528848 T^{14} + 8140525308 T^{15} + 80096817328 T^{16} + 84259783608 T^{17} + 760543437071 T^{18} + 775056839425 T^{19} + 6224275373503 T^{20} + 6320894216780 T^{21} + 43388420077552 T^{22} + 44001018785108 T^{23} + 248197573954660 T^{24} + 238572431479998 T^{25} + 1077336868227136 T^{26} + 863067803598275 T^{27} + 3072521380809859 T^{28} + 1518999334332964 T^{29} + 4177248169415651 T^{30} \))(\( 1 - 4 T + 71 T^{2} - 231 T^{3} + 2474 T^{4} - 6430 T^{5} + 57326 T^{6} - 122706 T^{7} + 1042932 T^{8} - 1949592 T^{9} + 16385389 T^{10} - 28171631 T^{11} + 228437691 T^{12} - 368573804 T^{13} + 2826312324 T^{14} - 4296596972 T^{15} + 31089435564 T^{16} - 44597430284 T^{17} + 304050566721 T^{18} - 412460849471 T^{19} + 2638883283839 T^{20} - 3453821153112 T^{21} + 20323794225372 T^{22} - 26303120851986 T^{23} + 135171709334266 T^{24} - 166777640184430 T^{25} + 705861073091614 T^{26} - 724976955022551 T^{27} + 2451112562219101 T^{28} - 1518999334332964 T^{29} + 4177248169415651 T^{30} \))(\( 1 - 4 T + 89 T^{2} - 275 T^{3} + 3776 T^{4} - 9198 T^{5} + 105260 T^{6} - 205268 T^{7} + 2226512 T^{8} - 3567980 T^{9} + 38647853 T^{10} - 52937425 T^{11} + 571407541 T^{12} - 696361848 T^{13} + 7281528848 T^{14} - 8140525308 T^{15} + 80096817328 T^{16} - 84259783608 T^{17} + 760543437071 T^{18} - 775056839425 T^{19} + 6224275373503 T^{20} - 6320894216780 T^{21} + 43388420077552 T^{22} - 44001018785108 T^{23} + 248197573954660 T^{24} - 238572431479998 T^{25} + 1077336868227136 T^{26} - 863067803598275 T^{27} + 3072521380809859 T^{28} - 1518999334332964 T^{29} + 4177248169415651 T^{30} \))
$13$ 1
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 9 T + 57 T^{2} + 277 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 5 T + 29 T^{2} - 73 T^{3} + 493 T^{4} - 1445 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 35 T^{2} + 76 T^{3} + 595 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 9 T + 57 T^{2} - 277 T^{3} + 969 T^{4} - 2601 T^{5} + 4913 T^{6} \))(\( 1 + 12 T + 92 T^{2} + 441 T^{3} + 1564 T^{4} + 3468 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 35 T^{2} - 132 T^{3} + 595 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 5 T + 29 T^{2} + 73 T^{3} + 493 T^{4} + 1445 T^{5} + 4913 T^{6} \))(\( 1 - 5 T + 29 T^{2} - 73 T^{3} + 493 T^{4} - 1445 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 45 T^{2} - 103 T^{3} + 765 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 277 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 35 T^{2} + 76 T^{3} + 595 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 9 T + 57 T^{2} - 277 T^{3} + 969 T^{4} - 2601 T^{5} + 4913 T^{6} \))(\( 1 + 5 T + 53 T^{2} + 169 T^{3} + 901 T^{4} + 1445 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 35 T^{2} - 132 T^{3} + 595 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 12 T + 92 T^{2} + 441 T^{3} + 1564 T^{4} + 3468 T^{5} + 4913 T^{6} \))(\( 1 - T + 34 T^{2} + 53 T^{3} + 506 T^{4} + 901 T^{5} + 9826 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 37 T^{2} + 221 T^{3} + 1229 T^{4} + 3757 T^{5} + 10693 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 - T + 34 T^{2} + 53 T^{3} + 506 T^{4} + 901 T^{5} + 9826 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 23 T^{2} + 121 T^{3} + 577 T^{4} + 1913 T^{5} + 16270 T^{6} + 32521 T^{7} + 166753 T^{8} + 594473 T^{9} + 1920983 T^{10} + 2839714 T^{11} + 24137569 T^{12} \))(\( 1 + 2 T + 23 T^{2} + 121 T^{3} + 577 T^{4} + 1913 T^{5} + 16270 T^{6} + 32521 T^{7} + 166753 T^{8} + 594473 T^{9} + 1920983 T^{10} + 2839714 T^{11} + 24137569 T^{12} \))(\( 1 - 16 T + 161 T^{2} - 1237 T^{3} + 8205 T^{4} - 46589 T^{5} + 230680 T^{6} - 1003634 T^{7} + 3921560 T^{8} - 13464221 T^{9} + 40311165 T^{10} - 103315477 T^{11} + 228596977 T^{12} - 386201104 T^{13} + 410338673 T^{14} \))(\( 1 - 16 T + 161 T^{2} - 1237 T^{3} + 8205 T^{4} - 46589 T^{5} + 230680 T^{6} - 1003634 T^{7} + 3921560 T^{8} - 13464221 T^{9} + 40311165 T^{10} - 103315477 T^{11} + 228596977 T^{12} - 386201104 T^{13} + 410338673 T^{14} \))(\( 1 - 2 T + 77 T^{2} - 146 T^{3} + 2994 T^{4} - 5438 T^{5} + 79107 T^{6} - 132590 T^{7} + 1548154 T^{8} - 2254030 T^{9} + 22861923 T^{10} - 26716894 T^{11} + 250061874 T^{12} - 207299122 T^{13} + 1858592813 T^{14} - 820677346 T^{15} + 6975757441 T^{16} \))(\( 1 - 2 T + 77 T^{2} - 146 T^{3} + 2994 T^{4} - 5438 T^{5} + 79107 T^{6} - 132590 T^{7} + 1548154 T^{8} - 2254030 T^{9} + 22861923 T^{10} - 26716894 T^{11} + 250061874 T^{12} - 207299122 T^{13} + 1858592813 T^{14} - 820677346 T^{15} + 6975757441 T^{16} \))(\( 1 + 12 T + 113 T^{2} + 820 T^{3} + 5292 T^{4} + 30033 T^{5} + 160627 T^{6} + 778066 T^{7} + 3578622 T^{8} + 15195769 T^{9} + 60836574 T^{10} + 224861074 T^{11} + 789160451 T^{12} + 2508386193 T^{13} + 7513883244 T^{14} + 19792806580 T^{15} + 46368270049 T^{16} + 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 + 8 T + 141 T^{2} + 892 T^{3} + 8864 T^{4} + 45997 T^{5} + 331163 T^{6} + 1433534 T^{7} + 8177502 T^{8} + 29584405 T^{9} + 139017534 T^{10} + 414291326 T^{11} + 1627003819 T^{12} + 3841715437 T^{13} + 12585612448 T^{14} + 21530711548 T^{15} + 57857752893 T^{16} + 55806059528 T^{17} + 118587876497 T^{18} \))(\( 1 + 12 T + 113 T^{2} + 820 T^{3} + 5292 T^{4} + 30033 T^{5} + 160627 T^{6} + 778066 T^{7} + 3578622 T^{8} + 15195769 T^{9} + 60836574 T^{10} + 224861074 T^{11} + 789160451 T^{12} + 2508386193 T^{13} + 7513883244 T^{14} + 19792806580 T^{15} + 46368270049 T^{16} + 83709089292 T^{17} + 118587876497 T^{18} \))(\( 1 + 8 T + 141 T^{2} + 892 T^{3} + 8864 T^{4} + 45997 T^{5} + 331163 T^{6} + 1433534 T^{7} + 8177502 T^{8} + 29584405 T^{9} + 139017534 T^{10} + 414291326 T^{11} + 1627003819 T^{12} + 3841715437 T^{13} + 12585612448 T^{14} + 21530711548 T^{15} + 57857752893 T^{16} + 55806059528 T^{17} + 118587876497 T^{18} \))(\( 1 - 2 T + 125 T^{2} - 288 T^{3} + 7950 T^{4} - 19292 T^{5} + 338218 T^{6} - 817376 T^{7} + 10775317 T^{8} - 24937068 T^{9} + 274372361 T^{10} - 594319866 T^{11} + 5833380620 T^{12} - 11749283996 T^{13} + 106490754304 T^{14} - 199737827932 T^{15} + 1685846999180 T^{16} - 2919893501658 T^{17} + 22915853963081 T^{18} - 35407070559276 T^{19} + 260089957584373 T^{20} - 335400983182048 T^{21} + 2359326730180138 T^{22} - 2287797313380124 T^{23} + 16027151508569550 T^{24} - 9870306136598304 T^{25} + 72827779653720125 T^{26} - 19809156065811874 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 2 T + 125 T^{2} - 288 T^{3} + 7950 T^{4} - 19292 T^{5} + 338218 T^{6} - 817376 T^{7} + 10775317 T^{8} - 24937068 T^{9} + 274372361 T^{10} - 594319866 T^{11} + 5833380620 T^{12} - 11749283996 T^{13} + 106490754304 T^{14} - 199737827932 T^{15} + 1685846999180 T^{16} - 2919893501658 T^{17} + 22915853963081 T^{18} - 35407070559276 T^{19} + 260089957584373 T^{20} - 335400983182048 T^{21} + 2359326730180138 T^{22} - 2287797313380124 T^{23} + 16027151508569550 T^{24} - 9870306136598304 T^{25} + 72827779653720125 T^{26} - 19809156065811874 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 2 T + 112 T^{2} - 150 T^{3} + 6052 T^{4} - 2981 T^{5} + 213941 T^{6} + 95347 T^{7} + 5825443 T^{8} + 7286442 T^{9} + 138226255 T^{10} + 225112534 T^{11} + 3023658614 T^{12} + 4770636769 T^{13} + 59516931621 T^{14} + 84887921937 T^{15} + 1011787837557 T^{16} + 1378714026241 T^{17} + 14855234770582 T^{18} + 18801623952214 T^{19} + 196261515745535 T^{20} + 175876996539498 T^{21} + 2390404550257139 T^{22} + 665117544727027 T^{23} + 25370808885644677 T^{24} - 6009677817238469 T^{25} + 207413516453794916 T^{26} - 87393335584464150 T^{27} + 1109312739685464944 T^{28} - 336755653118801858 T^{29} + 2862423051509815793 T^{30} \))(\( 1 - 2 T + 156 T^{2} - 314 T^{3} + 11972 T^{4} - 23213 T^{5} + 603117 T^{6} - 1102605 T^{7} + 22456891 T^{8} - 38442066 T^{9} + 659444615 T^{10} - 1055553582 T^{11} + 15866219010 T^{12} - 23678539731 T^{13} + 319426346085 T^{14} - 440911980631 T^{15} + 5430247883445 T^{16} - 6843097982259 T^{17} + 77950733996130 T^{18} - 88160890722222 T^{19} + 936317052720055 T^{20} - 927898020577554 T^{21} + 9214930852645643 T^{22} - 7691505033233805 T^{23} + 71522364309241149 T^{24} - 46797266411122637 T^{25} + 410303142594982276 T^{26} - 182943382490144954 T^{27} + 1545114173133326172 T^{28} - 336755653118801858 T^{29} + 2862423051509815793 T^{30} \))(\( 1 - 2 T + 112 T^{2} - 150 T^{3} + 6052 T^{4} - 2981 T^{5} + 213941 T^{6} + 95347 T^{7} + 5825443 T^{8} + 7286442 T^{9} + 138226255 T^{10} + 225112534 T^{11} + 3023658614 T^{12} + 4770636769 T^{13} + 59516931621 T^{14} + 84887921937 T^{15} + 1011787837557 T^{16} + 1378714026241 T^{17} + 14855234770582 T^{18} + 18801623952214 T^{19} + 196261515745535 T^{20} + 175876996539498 T^{21} + 2390404550257139 T^{22} + 665117544727027 T^{23} + 25370808885644677 T^{24} - 6009677817238469 T^{25} + 207413516453794916 T^{26} - 87393335584464150 T^{27} + 1109312739685464944 T^{28} - 336755653118801858 T^{29} + 2862423051509815793 T^{30} \))(\( 1 - 2 T + 156 T^{2} - 314 T^{3} + 11972 T^{4} - 23213 T^{5} + 603117 T^{6} - 1102605 T^{7} + 22456891 T^{8} - 38442066 T^{9} + 659444615 T^{10} - 1055553582 T^{11} + 15866219010 T^{12} - 23678539731 T^{13} + 319426346085 T^{14} - 440911980631 T^{15} + 5430247883445 T^{16} - 6843097982259 T^{17} + 77950733996130 T^{18} - 88160890722222 T^{19} + 936317052720055 T^{20} - 927898020577554 T^{21} + 9214930852645643 T^{22} - 7691505033233805 T^{23} + 71522364309241149 T^{24} - 46797266411122637 T^{25} + 410303142594982276 T^{26} - 182943382490144954 T^{27} + 1545114173133326172 T^{28} - 336755653118801858 T^{29} + 2862423051509815793 T^{30} \))
$19$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{6} \))(\( ( 1 + T )^{7} \))(\( ( 1 - T )^{7} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{9} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 - T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 + T )^{15} \))(\( ( 1 - T )^{15} \))
$23$ (\( 1 - 2 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} + 139 T^{3} + 529 T^{4} + 1587 T^{5} + 12167 T^{6} \))(\( 1 + 8 T + 53 T^{2} + 304 T^{3} + 1219 T^{4} + 4232 T^{5} + 12167 T^{6} \))(\( 1 - 2 T + 40 T^{2} - 87 T^{3} + 920 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 - 2 T + 5 T^{2} + 140 T^{3} + 115 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 12 T^{2} - 77 T^{3} + 276 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 - 12 T + 110 T^{2} - 585 T^{3} + 2530 T^{4} - 6348 T^{5} + 12167 T^{6} \))(\( 1 + T + 53 T^{2} + 17 T^{3} + 1219 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 + 8 T + 53 T^{2} + 304 T^{3} + 1219 T^{4} + 4232 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 33 T^{2} - 11 T^{3} + 759 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 3 T + 23 T^{2} + 139 T^{3} + 529 T^{4} + 1587 T^{5} + 12167 T^{6} \))(\( 1 - 2 T + 40 T^{2} - 87 T^{3} + 920 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 - 2 T + 5 T^{2} + 140 T^{3} + 115 T^{4} - 1058 T^{5} + 12167 T^{6} \))(\( 1 + T + 25 T^{2} - 75 T^{3} + 575 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - 12 T + 110 T^{2} - 585 T^{3} + 2530 T^{4} - 6348 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 12 T^{2} - 77 T^{3} + 276 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 + 10 T + 123 T^{2} + 725 T^{3} + 4612 T^{4} + 16675 T^{5} + 65067 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 - 5 T + 66 T^{2} - 166 T^{3} + 1732 T^{4} - 3818 T^{5} + 34914 T^{6} - 60835 T^{7} + 279841 T^{8} \))(\( 1 + 10 T + 123 T^{2} + 725 T^{3} + 4612 T^{4} + 16675 T^{5} + 65067 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 122 T^{2} - 768 T^{3} + 6470 T^{4} - 32106 T^{5} + 192741 T^{6} - 738438 T^{7} + 3422630 T^{8} - 9344256 T^{9} + 34140602 T^{10} - 51490744 T^{11} + 148035889 T^{12} \))(\( 1 - 8 T + 122 T^{2} - 768 T^{3} + 6470 T^{4} - 32106 T^{5} + 192741 T^{6} - 738438 T^{7} + 3422630 T^{8} - 9344256 T^{9} + 34140602 T^{10} - 51490744 T^{11} + 148035889 T^{12} \))(\( 1 - 3 T + 74 T^{2} - 250 T^{3} + 2852 T^{4} - 12500 T^{5} + 79575 T^{6} - 368558 T^{7} + 1830225 T^{8} - 6612500 T^{9} + 34700284 T^{10} - 69960250 T^{11} + 476289382 T^{12} - 444107667 T^{13} + 3404825447 T^{14} \))(\( 1 - 3 T + 74 T^{2} - 250 T^{3} + 2852 T^{4} - 12500 T^{5} + 79575 T^{6} - 368558 T^{7} + 1830225 T^{8} - 6612500 T^{9} + 34700284 T^{10} - 69960250 T^{11} + 476289382 T^{12} - 444107667 T^{13} + 3404825447 T^{14} \))(\( 1 + 8 T + 162 T^{2} + 1160 T^{3} + 11989 T^{4} + 74760 T^{5} + 525575 T^{6} + 2770680 T^{7} + 14875490 T^{8} + 63725640 T^{9} + 278029175 T^{10} + 909604920 T^{11} + 3355013749 T^{12} + 7466157880 T^{13} + 23981814018 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} \))(\( 1 + 8 T + 162 T^{2} + 1160 T^{3} + 11989 T^{4} + 74760 T^{5} + 525575 T^{6} + 2770680 T^{7} + 14875490 T^{8} + 63725640 T^{9} + 278029175 T^{10} + 909604920 T^{11} + 3355013749 T^{12} + 7466157880 T^{13} + 23981814018 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} \))(\( 1 + 22 T + 310 T^{2} + 3272 T^{3} + 29305 T^{4} + 225483 T^{5} + 1539765 T^{6} + 9383073 T^{7} + 52011739 T^{8} + 261164297 T^{9} + 1196269997 T^{10} + 4963645617 T^{11} + 18734320755 T^{12} + 63099388203 T^{13} + 188617031615 T^{14} + 484373428808 T^{15} + 1055495888570 T^{16} + 1722841676182 T^{17} + 1801152661463 T^{18} \))(\( 1 + 10 T + 134 T^{2} + 902 T^{3} + 7585 T^{4} + 42777 T^{5} + 290591 T^{6} + 1472385 T^{7} + 8604275 T^{8} + 38866483 T^{9} + 197898325 T^{10} + 778891665 T^{11} + 3535620697 T^{12} + 11970758457 T^{13} + 48819661655 T^{14} + 133528371878 T^{15} + 456246609898 T^{16} + 783109852810 T^{17} + 1801152661463 T^{18} \))(\( 1 + 22 T + 310 T^{2} + 3272 T^{3} + 29305 T^{4} + 225483 T^{5} + 1539765 T^{6} + 9383073 T^{7} + 52011739 T^{8} + 261164297 T^{9} + 1196269997 T^{10} + 4963645617 T^{11} + 18734320755 T^{12} + 63099388203 T^{13} + 188617031615 T^{14} + 484373428808 T^{15} + 1055495888570 T^{16} + 1722841676182 T^{17} + 1801152661463 T^{18} \))(\( 1 + 10 T + 134 T^{2} + 902 T^{3} + 7585 T^{4} + 42777 T^{5} + 290591 T^{6} + 1472385 T^{7} + 8604275 T^{8} + 38866483 T^{9} + 197898325 T^{10} + 778891665 T^{11} + 3535620697 T^{12} + 11970758457 T^{13} + 48819661655 T^{14} + 133528371878 T^{15} + 456246609898 T^{16} + 783109852810 T^{17} + 1801152661463 T^{18} \))(\( 1 - 12 T + 214 T^{2} - 2066 T^{3} + 21281 T^{4} - 170144 T^{5} + 1326594 T^{6} - 9019462 T^{7} + 58994228 T^{8} - 351068156 T^{9} + 2028003514 T^{10} - 10898667480 T^{11} + 57401410503 T^{12} - 286278879920 T^{13} + 1405326778946 T^{14} - 6584414238160 T^{15} + 30365346156087 T^{16} - 132604087229160 T^{17} + 567518531361274 T^{18} - 2259595068393508 T^{19} + 8733262987848692 T^{20} - 30709693735849514 T^{21} + 103886883207862914 T^{22} - 306455318431960672 T^{23} + 881597585137664369 T^{24} - 1968504959850173182 T^{25} + 4689729628452348694 T^{26} - 6048436343237608596 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 12 T + 214 T^{2} - 2066 T^{3} + 21281 T^{4} - 170144 T^{5} + 1326594 T^{6} - 9019462 T^{7} + 58994228 T^{8} - 351068156 T^{9} + 2028003514 T^{10} - 10898667480 T^{11} + 57401410503 T^{12} - 286278879920 T^{13} + 1405326778946 T^{14} - 6584414238160 T^{15} + 30365346156087 T^{16} - 132604087229160 T^{17} + 567518531361274 T^{18} - 2259595068393508 T^{19} + 8733262987848692 T^{20} - 30709693735849514 T^{21} + 103886883207862914 T^{22} - 306455318431960672 T^{23} + 881597585137664369 T^{24} - 1968504959850173182 T^{25} + 4689729628452348694 T^{26} - 6048436343237608596 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 17 T + 274 T^{2} - 2994 T^{3} + 30660 T^{4} - 263089 T^{5} + 2138738 T^{6} - 15613823 T^{7} + 108942740 T^{8} - 703355132 T^{9} + 4364985334 T^{10} - 25428468436 T^{11} + 142916170295 T^{12} - 759471649018 T^{13} + 3902857199226 T^{14} - 19025437256614 T^{15} + 89765715582198 T^{16} - 401760502330522 T^{17} + 1738861043979265 T^{18} - 7115928035598676 T^{19} + 28094542799593562 T^{20} - 104121802248332348 T^{21} + 370931013417904780 T^{22} - 1222733863133139263 T^{23} + 3852193640872053694 T^{24} - 10898859408687701761 T^{25} + 29213147177641001820 T^{26} - 65612385549468841074 T^{27} + \)\(13\!\cdots\!42\)\( T^{28} - \)\(19\!\cdots\!53\)\( T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 - 3 T + 196 T^{2} - 578 T^{3} + 19508 T^{4} - 54237 T^{5} + 1305782 T^{6} - 3367785 T^{7} + 65587368 T^{8} - 156217066 T^{9} + 2616501944 T^{10} - 5745153366 T^{11} + 85609405629 T^{12} - 173125000064 T^{13} + 2338753040756 T^{14} - 4349350209538 T^{15} + 53791319937388 T^{16} - 91583125033856 T^{17} + 1041609638288043 T^{18} - 1607729463094806 T^{19} + 16840703971750792 T^{20} - 23125732242281674 T^{21} + 223313539568153496 T^{22} - 263734561564572585 T^{23} + 2351912724590479066 T^{24} - 2246849688694680813 T^{25} + 18587412757384887916 T^{26} - 12666652921707745538 T^{27} + 98791126939547607068 T^{28} - 34778508973616249427 T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 - 17 T + 274 T^{2} - 2994 T^{3} + 30660 T^{4} - 263089 T^{5} + 2138738 T^{6} - 15613823 T^{7} + 108942740 T^{8} - 703355132 T^{9} + 4364985334 T^{10} - 25428468436 T^{11} + 142916170295 T^{12} - 759471649018 T^{13} + 3902857199226 T^{14} - 19025437256614 T^{15} + 89765715582198 T^{16} - 401760502330522 T^{17} + 1738861043979265 T^{18} - 7115928035598676 T^{19} + 28094542799593562 T^{20} - 104121802248332348 T^{21} + 370931013417904780 T^{22} - 1222733863133139263 T^{23} + 3852193640872053694 T^{24} - 10898859408687701761 T^{25} + 29213147177641001820 T^{26} - 65612385549468841074 T^{27} + \)\(13\!\cdots\!42\)\( T^{28} - \)\(19\!\cdots\!53\)\( T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))(\( 1 - 3 T + 196 T^{2} - 578 T^{3} + 19508 T^{4} - 54237 T^{5} + 1305782 T^{6} - 3367785 T^{7} + 65587368 T^{8} - 156217066 T^{9} + 2616501944 T^{10} - 5745153366 T^{11} + 85609405629 T^{12} - 173125000064 T^{13} + 2338753040756 T^{14} - 4349350209538 T^{15} + 53791319937388 T^{16} - 91583125033856 T^{17} + 1041609638288043 T^{18} - 1607729463094806 T^{19} + 16840703971750792 T^{20} - 23125732242281674 T^{21} + 223313539568153496 T^{22} - 263734561564572585 T^{23} + 2351912724590479066 T^{24} - 2246849688694680813 T^{25} + 18587412757384887916 T^{26} - 12666652921707745538 T^{27} + 98791126939547607068 T^{28} - 34778508973616249427 T^{29} + \)\(26\!\cdots\!07\)\( T^{30} \))
$29$ (\( 1 - 4 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 9 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 7 T + 87 T^{2} + 357 T^{3} + 2523 T^{4} + 5887 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 51 T^{2} + 108 T^{3} + 1479 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 14 T + 122 T^{2} + 709 T^{3} + 3538 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 6 T + 71 T^{2} - 356 T^{3} + 2059 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 36 T^{2} + 215 T^{3} + 1044 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 - 20 T + 204 T^{2} - 1331 T^{3} + 5916 T^{4} - 16820 T^{5} + 24389 T^{6} \))(\( 1 - 5 T + 79 T^{2} - 249 T^{3} + 2291 T^{4} - 4205 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 51 T^{2} + 108 T^{3} + 1479 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 3 T + 87 T^{2} + 171 T^{3} + 2523 T^{4} + 2523 T^{5} + 24389 T^{6} \))(\( 1 + 7 T + 87 T^{2} + 357 T^{3} + 2523 T^{4} + 5887 T^{5} + 24389 T^{6} \))(\( 1 + 14 T + 122 T^{2} + 709 T^{3} + 3538 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 6 T + 71 T^{2} - 356 T^{3} + 2059 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 - 7 T + 59 T^{2} - 323 T^{3} + 1711 T^{4} - 5887 T^{5} + 24389 T^{6} \))(\( 1 - 20 T + 204 T^{2} - 1331 T^{3} + 5916 T^{4} - 16820 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 36 T^{2} + 215 T^{3} + 1044 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + T + 47 T^{2} + 63 T^{3} + 2173 T^{4} + 1827 T^{5} + 39527 T^{6} + 24389 T^{7} + 707281 T^{8} \))(\( 1 + 5 T + 52 T^{2} + 74 T^{3} + 1274 T^{4} + 2146 T^{5} + 43732 T^{6} + 121945 T^{7} + 707281 T^{8} \))(\( 1 + T + 47 T^{2} + 63 T^{3} + 2173 T^{4} + 1827 T^{5} + 39527 T^{6} + 24389 T^{7} + 707281 T^{8} \))(\( 1 - 20 T + 316 T^{2} - 3346 T^{3} + 29692 T^{4} - 207276 T^{5} + 1239439 T^{6} - 6011004 T^{7} + 24970972 T^{8} - 81605594 T^{9} + 223500796 T^{10} - 410222980 T^{11} + 594823321 T^{12} \))(\( 1 - 20 T + 316 T^{2} - 3346 T^{3} + 29692 T^{4} - 207276 T^{5} + 1239439 T^{6} - 6011004 T^{7} + 24970972 T^{8} - 81605594 T^{9} + 223500796 T^{10} - 410222980 T^{11} + 594823321 T^{12} \))(\( 1 + 7 T + 130 T^{2} + 646 T^{3} + 7556 T^{4} + 28802 T^{5} + 284695 T^{6} + 924038 T^{7} + 8256155 T^{8} + 24222482 T^{9} + 184283284 T^{10} + 456903526 T^{11} + 2666449370 T^{12} + 4163763247 T^{13} + 17249876309 T^{14} \))(\( 1 + 7 T + 130 T^{2} + 646 T^{3} + 7556 T^{4} + 28802 T^{5} + 284695 T^{6} + 924038 T^{7} + 8256155 T^{8} + 24222482 T^{9} + 184283284 T^{10} + 456903526 T^{11} + 2666449370 T^{12} + 4163763247 T^{13} + 17249876309 T^{14} \))(\( 1 - 8 T + 157 T^{2} - 842 T^{3} + 9893 T^{4} - 35698 T^{5} + 358487 T^{6} - 907684 T^{7} + 10385737 T^{8} - 26322836 T^{9} + 301487567 T^{10} - 870638522 T^{11} + 6997130933 T^{12} - 17270387458 T^{13} + 93387261397 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 - 8 T + 157 T^{2} - 842 T^{3} + 9893 T^{4} - 35698 T^{5} + 358487 T^{6} - 907684 T^{7} + 10385737 T^{8} - 26322836 T^{9} + 301487567 T^{10} - 870638522 T^{11} + 6997130933 T^{12} - 17270387458 T^{13} + 93387261397 T^{14} - 137999010472 T^{15} + 500246412961 T^{16} \))(\( 1 - 12 T + 180 T^{2} - 1594 T^{3} + 14826 T^{4} - 112089 T^{5} + 812656 T^{6} - 5286719 T^{7} + 31755262 T^{8} - 178245323 T^{9} + 920902598 T^{10} - 4446130679 T^{11} + 19819867184 T^{12} - 79278420009 T^{13} + 304098295074 T^{14} - 948148373674 T^{15} + 3104977735620 T^{16} - 6002956955532 T^{17} + 14507145975869 T^{18} \))(\( 1 + 20 T + 312 T^{2} + 3450 T^{3} + 33580 T^{4} + 274407 T^{5} + 2046226 T^{6} + 13528469 T^{7} + 83212602 T^{8} + 463404485 T^{9} + 2413165458 T^{10} + 11377442429 T^{11} + 49905405914 T^{12} + 194082857367 T^{13} + 688764383420 T^{14} + 2052140457450 T^{15} + 5381961408408 T^{16} + 10004928259220 T^{17} + 14507145975869 T^{18} \))(\( 1 - 12 T + 180 T^{2} - 1594 T^{3} + 14826 T^{4} - 112089 T^{5} + 812656 T^{6} - 5286719 T^{7} + 31755262 T^{8} - 178245323 T^{9} + 920902598 T^{10} - 4446130679 T^{11} + 19819867184 T^{12} - 79278420009 T^{13} + 304098295074 T^{14} - 948148373674 T^{15} + 3104977735620 T^{16} - 6002956955532 T^{17} + 14507145975869 T^{18} \))(\( 1 + 20 T + 312 T^{2} + 3450 T^{3} + 33580 T^{4} + 274407 T^{5} + 2046226 T^{6} + 13528469 T^{7} + 83212602 T^{8} + 463404485 T^{9} + 2413165458 T^{10} + 11377442429 T^{11} + 49905405914 T^{12} + 194082857367 T^{13} + 688764383420 T^{14} + 2052140457450 T^{15} + 5381961408408 T^{16} + 10004928259220 T^{17} + 14507145975869 T^{18} \))(\( 1 - 4 T + 189 T^{2} - 746 T^{3} + 18697 T^{4} - 75410 T^{5} + 1283138 T^{6} - 5231392 T^{7} + 68302584 T^{8} - 274490690 T^{9} + 2984711890 T^{10} - 11501393832 T^{11} + 109967689103 T^{12} - 397609147698 T^{13} + 3451127078525 T^{14} - 11530665283242 T^{15} + 92482826535623 T^{16} - 280507494168648 T^{17} + 2111030010271090 T^{18} - 5630119441702810 T^{19} + 40627969847761464 T^{20} - 90240864923892128 T^{21} + 641885181833951618 T^{22} - 1093983878040281290 T^{23} + 7865963141013858097 T^{24} - 9101580285216548434 T^{25} + 66870994025833648749 T^{26} - 41042514851834408756 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 4 T + 189 T^{2} - 746 T^{3} + 18697 T^{4} - 75410 T^{5} + 1283138 T^{6} - 5231392 T^{7} + 68302584 T^{8} - 274490690 T^{9} + 2984711890 T^{10} - 11501393832 T^{11} + 109967689103 T^{12} - 397609147698 T^{13} + 3451127078525 T^{14} - 11530665283242 T^{15} + 92482826535623 T^{16} - 280507494168648 T^{17} + 2111030010271090 T^{18} - 5630119441702810 T^{19} + 40627969847761464 T^{20} - 90240864923892128 T^{21} + 641885181833951618 T^{22} - 1093983878040281290 T^{23} + 7865963141013858097 T^{24} - 9101580285216548434 T^{25} + 66870994025833648749 T^{26} - 41042514851834408756 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 + 20 T + 362 T^{2} + 4436 T^{3} + 50557 T^{4} + 479821 T^{5} + 4312624 T^{6} + 34597407 T^{7} + 266167139 T^{8} + 1890611122 T^{9} + 12989111224 T^{10} + 83811654918 T^{11} + 524950724341 T^{12} + 3112005474141 T^{13} + 17921794563648 T^{14} + 97932314027054 T^{15} + 519732042345792 T^{16} + 2617196603752581 T^{17} + 12803023215952649 T^{18} + 59278391102057958 T^{19} + 266421595693036376 T^{20} + 1124579586307576162 T^{21} + 4591350225270409951 T^{22} + 17307228749501792127 T^{23} + 62563865907036070256 T^{24} + \)\(20\!\cdots\!21\)\( T^{25} + \)\(61\!\cdots\!53\)\( T^{26} + \)\(15\!\cdots\!76\)\( T^{27} + \)\(37\!\cdots\!18\)\( T^{28} + \)\(59\!\cdots\!20\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 - 12 T + 338 T^{2} - 3068 T^{3} + 49951 T^{4} - 360199 T^{5} + 4396158 T^{6} - 25583661 T^{7} + 261498605 T^{8} - 1222535522 T^{9} + 11356984398 T^{10} - 42059406350 T^{11} + 388728641045 T^{12} - 1155372281707 T^{13} + 11638635469208 T^{14} - 31251373193746 T^{15} + 337520428607032 T^{16} - 971668088915587 T^{17} + 9480702826446505 T^{18} - 29747818982634350 T^{19} + 232944799178053302 T^{20} - 727192639236508562 T^{21} + 4510818591226048945 T^{22} - 12798134645660230221 T^{23} + 63775705838984311302 T^{24} - \)\(15\!\cdots\!99\)\( T^{25} + \)\(60\!\cdots\!79\)\( T^{26} - \)\(10\!\cdots\!88\)\( T^{27} + \)\(34\!\cdots\!82\)\( T^{28} - \)\(35\!\cdots\!72\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 + 20 T + 362 T^{2} + 4436 T^{3} + 50557 T^{4} + 479821 T^{5} + 4312624 T^{6} + 34597407 T^{7} + 266167139 T^{8} + 1890611122 T^{9} + 12989111224 T^{10} + 83811654918 T^{11} + 524950724341 T^{12} + 3112005474141 T^{13} + 17921794563648 T^{14} + 97932314027054 T^{15} + 519732042345792 T^{16} + 2617196603752581 T^{17} + 12803023215952649 T^{18} + 59278391102057958 T^{19} + 266421595693036376 T^{20} + 1124579586307576162 T^{21} + 4591350225270409951 T^{22} + 17307228749501792127 T^{23} + 62563865907036070256 T^{24} + \)\(20\!\cdots\!21\)\( T^{25} + \)\(61\!\cdots\!53\)\( T^{26} + \)\(15\!\cdots\!76\)\( T^{27} + \)\(37\!\cdots\!18\)\( T^{28} + \)\(59\!\cdots\!20\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))(\( 1 - 12 T + 338 T^{2} - 3068 T^{3} + 49951 T^{4} - 360199 T^{5} + 4396158 T^{6} - 25583661 T^{7} + 261498605 T^{8} - 1222535522 T^{9} + 11356984398 T^{10} - 42059406350 T^{11} + 388728641045 T^{12} - 1155372281707 T^{13} + 11638635469208 T^{14} - 31251373193746 T^{15} + 337520428607032 T^{16} - 971668088915587 T^{17} + 9480702826446505 T^{18} - 29747818982634350 T^{19} + 232944799178053302 T^{20} - 727192639236508562 T^{21} + 4510818591226048945 T^{22} - 12798134645660230221 T^{23} + 63775705838984311302 T^{24} - \)\(15\!\cdots\!99\)\( T^{25} + \)\(60\!\cdots\!79\)\( T^{26} - \)\(10\!\cdots\!88\)\( T^{27} + \)\(34\!\cdots\!82\)\( T^{28} - \)\(35\!\cdots\!72\)\( T^{29} + \)\(86\!\cdots\!49\)\( T^{30} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 7 T + 93 T^{2} + 427 T^{3} + 2883 T^{4} + 6727 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 1457 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 - 5 T + 45 T^{2} - 383 T^{3} + 1395 T^{4} - 4805 T^{5} + 29791 T^{6} \))(\( 1 + T + 77 T^{2} + 75 T^{3} + 2387 T^{4} + 961 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 37 T^{2} + 148 T^{3} + 1147 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 - 5 T + 69 T^{2} - 301 T^{3} + 2139 T^{4} - 4805 T^{5} + 29791 T^{6} \))(\( 1 + 9 T + 113 T^{2} + 571 T^{3} + 3503 T^{4} + 8649 T^{5} + 29791 T^{6} \))(\( 1 + 3 T + 47 T^{2} + 89 T^{3} + 1457 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 + 3 T + 57 T^{2} + 237 T^{3} + 1767 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 - 7 T + 93 T^{2} - 427 T^{3} + 2883 T^{4} - 6727 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 45 T^{2} + 383 T^{3} + 1395 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 - T + 77 T^{2} - 75 T^{3} + 2387 T^{4} - 961 T^{5} + 29791 T^{6} \))(\( 1 + 19 T + 169 T^{2} + 1045 T^{3} + 5239 T^{4} + 18259 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 69 T^{2} + 301 T^{3} + 2139 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 - 2 T + 37 T^{2} - 148 T^{3} + 1147 T^{4} - 1922 T^{5} + 29791 T^{6} \))(\( 1 - 11 T + 162 T^{2} - 1068 T^{3} + 8130 T^{4} - 33108 T^{5} + 155682 T^{6} - 327701 T^{7} + 923521 T^{8} \))(\( 1 + 9 T + 72 T^{2} + 458 T^{3} + 2582 T^{4} + 14198 T^{5} + 69192 T^{6} + 268119 T^{7} + 923521 T^{8} \))(\( 1 + 11 T + 162 T^{2} + 1068 T^{3} + 8130 T^{4} + 33108 T^{5} + 155682 T^{6} + 327701 T^{7} + 923521 T^{8} \))(\( 1 + 3 T + 86 T^{2} + 134 T^{3} + 4481 T^{4} + 4319 T^{5} + 155736 T^{6} + 133889 T^{7} + 4306241 T^{8} + 3991994 T^{9} + 79422806 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T + 86 T^{2} - 134 T^{3} + 4481 T^{4} - 4319 T^{5} + 155736 T^{6} - 133889 T^{7} + 4306241 T^{8} - 3991994 T^{9} + 79422806 T^{10} - 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 11 T + 129 T^{2} + 831 T^{3} + 6693 T^{4} + 34921 T^{5} + 229733 T^{6} + 1050266 T^{7} + 7121723 T^{8} + 33559081 T^{9} + 199391163 T^{10} + 767445951 T^{11} + 3693160479 T^{12} + 9762540491 T^{13} + 27512614111 T^{14} \))(\( 1 - 11 T + 129 T^{2} - 831 T^{3} + 6693 T^{4} - 34921 T^{5} + 229733 T^{6} - 1050266 T^{7} + 7121723 T^{8} - 33559081 T^{9} + 199391163 T^{10} - 767445951 T^{11} + 3693160479 T^{12} - 9762540491 T^{13} + 27512614111 T^{14} \))(\( 1 - 12 T + 219 T^{2} - 1832 T^{3} + 19780 T^{4} - 129422 T^{5} + 1055926 T^{6} - 5721514 T^{7} + 38605652 T^{8} - 177366934 T^{9} + 1014744886 T^{10} - 3855610802 T^{11} + 18267245380 T^{12} - 52448604632 T^{13} + 194363306139 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} \))(\( 1 + 12 T + 219 T^{2} + 1832 T^{3} + 19780 T^{4} + 129422 T^{5} + 1055926 T^{6} + 5721514 T^{7} + 38605652 T^{8} + 177366934 T^{9} + 1014744886 T^{10} + 3855610802 T^{11} + 18267245380 T^{12} + 52448604632 T^{13} + 194363306139 T^{14} + 330151369332 T^{15} + 852891037441 T^{16} \))(\( 1 + T + 135 T^{2} + 101 T^{3} + 9072 T^{4} + 3481 T^{5} + 420195 T^{6} - 13241 T^{7} + 15372662 T^{8} - 3306377 T^{9} + 476552522 T^{10} - 12724601 T^{11} + 12518029245 T^{12} + 3214776601 T^{13} + 259723657872 T^{14} + 89637871781 T^{15} + 3714202904985 T^{16} + 852891037441 T^{17} + 26439622160671 T^{18} \))(\( 1 - T + 85 T^{2} + 277 T^{3} + 3600 T^{4} + 27391 T^{5} + 168077 T^{6} + 1050395 T^{7} + 8391968 T^{8} + 29555711 T^{9} + 260151008 T^{10} + 1009429595 T^{11} + 5007181907 T^{12} + 25296163711 T^{13} + 103064943600 T^{14} + 245838519637 T^{15} + 2338572199435 T^{16} - 852891037441 T^{17} + 26439622160671 T^{18} \))(\( 1 - T + 135 T^{2} - 101 T^{3} + 9072 T^{4} - 3481 T^{5} + 420195 T^{6} + 13241 T^{7} + 15372662 T^{8} + 3306377 T^{9} + 476552522 T^{10} + 12724601 T^{11} + 12518029245 T^{12} - 3214776601 T^{13} + 259723657872 T^{14} - 89637871781 T^{15} + 3714202904985 T^{16} - 852891037441 T^{17} + 26439622160671 T^{18} \))(\( 1 + T + 85 T^{2} - 277 T^{3} + 3600 T^{4} - 27391 T^{5} + 168077 T^{6} - 1050395 T^{7} + 8391968 T^{8} - 29555711 T^{9} + 260151008 T^{10} - 1009429595 T^{11} + 5007181907 T^{12} - 25296163711 T^{13} + 103064943600 T^{14} - 245838519637 T^{15} + 2338572199435 T^{16} + 852891037441 T^{17} + 26439622160671 T^{18} \))(\( 1 + 4 T + 241 T^{2} + 936 T^{3} + 28725 T^{4} + 102110 T^{5} + 2216579 T^{6} + 6846774 T^{7} + 123958383 T^{8} + 316564780 T^{9} + 5409788435 T^{10} + 11072468584 T^{11} + 197263174043 T^{12} + 336356123896 T^{13} + 6395747675250 T^{14} + 10427039840776 T^{15} + 189569910255323 T^{16} + 329859911585944 T^{17} + 4996053225279635 T^{18} + 9062980887901780 T^{19} + 110013521203307823 T^{20} + 188372650967227914 T^{21} + 1890500362879934339 T^{22} + 2699749818826115810 T^{23} + 23543822543523508725 T^{24} + 23782334375034921816 T^{25} + \)\(18\!\cdots\!01\)\( T^{26} + 97670185189780170364 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 - 4 T + 241 T^{2} - 936 T^{3} + 28725 T^{4} - 102110 T^{5} + 2216579 T^{6} - 6846774 T^{7} + 123958383 T^{8} - 316564780 T^{9} + 5409788435 T^{10} - 11072468584 T^{11} + 197263174043 T^{12} - 336356123896 T^{13} + 6395747675250 T^{14} - 10427039840776 T^{15} + 189569910255323 T^{16} - 329859911585944 T^{17} + 4996053225279635 T^{18} - 9062980887901780 T^{19} + 110013521203307823 T^{20} - 188372650967227914 T^{21} + 1890500362879934339 T^{22} - 2699749818826115810 T^{23} + 23543822543523508725 T^{24} - 23782334375034921816 T^{25} + \)\(18\!\cdots\!01\)\( T^{26} - 97670185189780170364 T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 + 30 T + 638 T^{2} + 9874 T^{3} + 131100 T^{4} + 1494467 T^{5} + 15471754 T^{6} + 144883403 T^{7} + 1261353090 T^{8} + 10164112970 T^{9} + 77085437089 T^{10} + 547738044779 T^{11} + 3687931223002 T^{12} + 23411645619631 T^{13} + 141308233325172 T^{14} + 806426947428548 T^{15} + 4380555233080332 T^{16} + 22498591440465391 T^{17} + 109867159064452582 T^{18} + 505847586852346859 T^{19} + 2206890618321981439 T^{20} + 9020687674974842570 T^{21} + 34703120822887452990 T^{22} + \)\(12\!\cdots\!23\)\( T^{23} + \)\(40\!\cdots\!34\)\( T^{24} + \)\(12\!\cdots\!67\)\( T^{25} + \)\(33\!\cdots\!00\)\( T^{26} + \)\(77\!\cdots\!14\)\( T^{27} + \)\(15\!\cdots\!58\)\( T^{28} + \)\(22\!\cdots\!30\)\( T^{29} + \)\(23\!\cdots\!51\)\( T^{30} \))(\( 1 + 4 T + 252 T^{2} + 826 T^{3} + 32226 T^{4} + 87197 T^{5} + 2774442 T^{6} + 6220393 T^{7} + 180097820 T^{8} + 336524244 T^{9} + 9352624255 T^{10} + 14768347795 T^{11} + 402218729940 T^{12} + 551563816405 T^{13} + 14616608051634 T^{14} + 18119053625176 T^{15} + 453114849600654 T^{16} + 530052827565205 T^{17} + 11982498183642540 T^{18} + 13638879323986195 T^{19} + 267757692042657505 T^{20} + 298666505295742164 T^{21} + 4954961823892338020 T^{22} + 5305317439060734313 T^{23} + 73355198186696370582 T^{24} + 71469127739864904797 T^{25} + \)\(81\!\cdots\!06\)\( T^{26} + \)\(65\!\cdots\!86\)\( T^{27} + \)\(61\!\cdots\!32\)\( T^{28} + \)\(30\!\cdots\!84\)\( T^{29} + \)\(23\!\cdots\!51\)\( T^{30} \))(\( 1 - 30 T + 638 T^{2} - 9874 T^{3} + 131100 T^{4} - 1494467 T^{5} + 15471754 T^{6} - 144883403 T^{7} + 1261353090 T^{8} - 10164112970 T^{9} + 77085437089 T^{10} - 547738044779 T^{11} + 3687931223002 T^{12} - 23411645619631 T^{13} + 141308233325172 T^{14} - 806426947428548 T^{15} + 4380555233080332 T^{16} - 22498591440465391 T^{17} + 109867159064452582 T^{18} - 505847586852346859 T^{19} + 2206890618321981439 T^{20} - 9020687674974842570 T^{21} + 34703120822887452990 T^{22} - \)\(12\!\cdots\!23\)\( T^{23} + \)\(40\!\cdots\!34\)\( T^{24} - \)\(12\!\cdots\!67\)\( T^{25} + \)\(33\!\cdots\!00\)\( T^{26} - \)\(77\!\cdots\!14\)\( T^{27} + \)\(15\!\cdots\!58\)\( T^{28} - \)\(22\!\cdots\!30\)\( T^{29} + \)\(23\!\cdots\!51\)\( T^{30} \))(\( 1 - 4 T + 252 T^{2} - 826 T^{3} + 32226 T^{4} - 87197 T^{5} + 2774442 T^{6} - 6220393 T^{7} + 180097820 T^{8} - 336524244 T^{9} + 9352624255 T^{10} - 14768347795 T^{11} + 402218729940 T^{12} - 551563816405 T^{13} + 14616608051634 T^{14} - 18119053625176 T^{15} + 453114849600654 T^{16} - 530052827565205 T^{17} + 11982498183642540 T^{18} - 13638879323986195 T^{19} + 267757692042657505 T^{20} - 298666505295742164 T^{21} + 4954961823892338020 T^{22} - 5305317439060734313 T^{23} + 73355198186696370582 T^{24} - 71469127739864904797 T^{25} + \)\(81\!\cdots\!06\)\( T^{26} - \)\(65\!\cdots\!86\)\( T^{27} + \)\(61\!\cdots\!32\)\( T^{28} - \)\(30\!\cdots\!84\)\( T^{29} + \)\(23\!\cdots\!51\)\( T^{30} \))
$37$ (\( 1 + T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 12 T + 47 T^{2} + 56 T^{3} + 1739 T^{4} + 16428 T^{5} + 50653 T^{6} \))(\( 1 - 18 T + 191 T^{2} - 1324 T^{3} + 7067 T^{4} - 24642 T^{5} + 50653 T^{6} \))(\( 1 + 59 T^{2} - 104 T^{3} + 2183 T^{4} + 50653 T^{6} \))(\( 1 - 6 T + 39 T^{2} - 340 T^{3} + 1443 T^{4} - 8214 T^{5} + 50653 T^{6} \))(\( 1 + 15 T + 158 T^{2} + 1119 T^{3} + 5846 T^{4} + 20535 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 131 T^{2} - 816 T^{3} + 4847 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 131 T^{2} - 784 T^{3} + 4847 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 + 18 T + 191 T^{2} + 1324 T^{3} + 7067 T^{4} + 24642 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 147 T^{2} - 912 T^{3} + 5439 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 47 T^{2} - 56 T^{3} + 1739 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 + 59 T^{2} + 104 T^{3} + 2183 T^{4} + 50653 T^{6} \))(\( 1 + 6 T + 39 T^{2} + 340 T^{3} + 1443 T^{4} + 8214 T^{5} + 50653 T^{6} \))(\( 1 + 20 T + 219 T^{2} + 1568 T^{3} + 8103 T^{4} + 27380 T^{5} + 50653 T^{6} \))(\( 1 + 12 T + 131 T^{2} + 816 T^{3} + 4847 T^{4} + 16428 T^{5} + 50653 T^{6} \))(\( 1 - 15 T + 158 T^{2} - 1119 T^{3} + 5846 T^{4} - 20535 T^{5} + 50653 T^{6} \))(\( 1 + 9 T + 144 T^{2} + 803 T^{3} + 7526 T^{4} + 29711 T^{5} + 197136 T^{6} + 455877 T^{7} + 1874161 T^{8} \))(\( 1 + 5 T + 84 T^{2} + 431 T^{3} + 3438 T^{4} + 15947 T^{5} + 114996 T^{6} + 253265 T^{7} + 1874161 T^{8} \))(\( 1 - 9 T + 144 T^{2} - 803 T^{3} + 7526 T^{4} - 29711 T^{5} + 197136 T^{6} - 455877 T^{7} + 1874161 T^{8} \))(\( 1 - 9 T + 125 T^{2} - 924 T^{3} + 9203 T^{4} - 54235 T^{5} + 396982 T^{6} - 2006695 T^{7} + 12598907 T^{8} - 46803372 T^{9} + 234270125 T^{10} - 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 + 9 T + 125 T^{2} + 924 T^{3} + 9203 T^{4} + 54235 T^{5} + 396982 T^{6} + 2006695 T^{7} + 12598907 T^{8} + 46803372 T^{9} + 234270125 T^{10} + 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T + 125 T^{2} - 678 T^{3} + 8895 T^{4} - 52085 T^{5} + 470803 T^{6} - 2338196 T^{7} + 17419711 T^{8} - 71304365 T^{9} + 450558435 T^{10} - 1270681158 T^{11} + 8667994625 T^{12} - 7697179227 T^{13} + 94931877133 T^{14} \))(\( 1 + 3 T + 125 T^{2} + 678 T^{3} + 8895 T^{4} + 52085 T^{5} + 470803 T^{6} + 2338196 T^{7} + 17419711 T^{8} + 71304365 T^{9} + 450558435 T^{10} + 1270681158 T^{11} + 8667994625 T^{12} + 7697179227 T^{13} + 94931877133 T^{14} \))(\( 1 + 141 T^{2} + 196 T^{3} + 9902 T^{4} + 28372 T^{5} + 470299 T^{6} + 1865848 T^{7} + 18418082 T^{8} + 69036376 T^{9} + 643839331 T^{10} + 1437126916 T^{11} + 18557942222 T^{12} + 13591415572 T^{13} + 361767423669 T^{14} + 3512479453921 T^{16} \))(\( 1 + 141 T^{2} - 196 T^{3} + 9902 T^{4} - 28372 T^{5} + 470299 T^{6} - 1865848 T^{7} + 18418082 T^{8} - 69036376 T^{9} + 643839331 T^{10} - 1437126916 T^{11} + 18557942222 T^{12} - 13591415572 T^{13} + 361767423669 T^{14} + 3512479453921 T^{16} \))(\( 1 - 25 T + 562 T^{2} - 8233 T^{3} + 108663 T^{4} - 1136556 T^{5} + 10839476 T^{6} - 87034883 T^{7} + 641794907 T^{8} - 4069038161 T^{9} + 23746411559 T^{10} - 119150754827 T^{11} + 549051977828 T^{12} - 2130088929516 T^{13} + 7535122399491 T^{14} - 21123625525297 T^{15} + 53351714948746 T^{16} - 87811986348025 T^{17} + 129961739795077 T^{18} \))(\( 1 - 15 T + 314 T^{2} - 3383 T^{3} + 41227 T^{4} - 347746 T^{5} + 3154886 T^{6} - 21950513 T^{7} + 162441451 T^{8} - 958691303 T^{9} + 6010333687 T^{10} - 30050252297 T^{11} + 159804440558 T^{12} - 651731991106 T^{13} + 2858843315239 T^{14} - 8679852441647 T^{15} + 29808609419762 T^{16} - 52687191808815 T^{17} + 129961739795077 T^{18} \))(\( 1 + 25 T + 562 T^{2} + 8233 T^{3} + 108663 T^{4} + 1136556 T^{5} + 10839476 T^{6} + 87034883 T^{7} + 641794907 T^{8} + 4069038161 T^{9} + 23746411559 T^{10} + 119150754827 T^{11} + 549051977828 T^{12} + 2130088929516 T^{13} + 7535122399491 T^{14} + 21123625525297 T^{15} + 53351714948746 T^{16} + 87811986348025 T^{17} + 129961739795077 T^{18} \))(\( 1 + 15 T + 314 T^{2} + 3383 T^{3} + 41227 T^{4} + 347746 T^{5} + 3154886 T^{6} + 21950513 T^{7} + 162441451 T^{8} + 958691303 T^{9} + 6010333687 T^{10} + 30050252297 T^{11} + 159804440558 T^{12} + 651731991106 T^{13} + 2858843315239 T^{14} + 8679852441647 T^{15} + 29808609419762 T^{16} + 52687191808815 T^{17} + 129961739795077 T^{18} \))(\( 1 + 18 T + 370 T^{2} + 4572 T^{3} + 56401 T^{4} + 543308 T^{5} + 5083304 T^{6} + 40993530 T^{7} + 320678976 T^{8} + 2282580942 T^{9} + 15904341944 T^{10} + 104343415908 T^{11} + 677230087126 T^{12} + 4215795440290 T^{13} + 26115145423932 T^{14} + 155984431290730 T^{15} + 927127989275494 T^{16} + 5285307045987924 T^{17} + 29807297402108984 T^{18} + 158283194691067494 T^{19} + 822774517534277184 T^{20} + 3891592753207949490 T^{21} + 17855000858034434984 T^{22} + 70609252924583694716 T^{23} + \)\(27\!\cdots\!49\)\( T^{24} + \)\(81\!\cdots\!36\)\( T^{25} + \)\(24\!\cdots\!70\)\( T^{26} + \)\(43\!\cdots\!46\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 18 T + 370 T^{2} - 4572 T^{3} + 56401 T^{4} - 543308 T^{5} + 5083304 T^{6} - 40993530 T^{7} + 320678976 T^{8} - 2282580942 T^{9} + 15904341944 T^{10} - 104343415908 T^{11} + 677230087126 T^{12} - 4215795440290 T^{13} + 26115145423932 T^{14} - 155984431290730 T^{15} + 927127989275494 T^{16} - 5285307045987924 T^{17} + 29807297402108984 T^{18} - 158283194691067494 T^{19} + 822774517534277184 T^{20} - 3891592753207949490 T^{21} + 17855000858034434984 T^{22} - 70609252924583694716 T^{23} + \)\(27\!\cdots\!49\)\( T^{24} - \)\(81\!\cdots\!36\)\( T^{25} + \)\(24\!\cdots\!70\)\( T^{26} - \)\(43\!\cdots\!46\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 + 35 T + 900 T^{2} + 16527 T^{3} + 255846 T^{4} + 3326587 T^{5} + 38445574 T^{6} + 395119568 T^{7} + 3718745153 T^{8} + 32096223136 T^{9} + 258936956155 T^{10} + 1954785075383 T^{11} + 13999026028871 T^{12} + 95069086892490 T^{13} + 618109456563016 T^{14} + 3836610105532724 T^{15} + 22870049892831592 T^{16} + 130149579955818810 T^{17} + 709092665440402763 T^{18} + 3663581951664878663 T^{19} + 17955713153323205335 T^{20} + 82350127329191998624 T^{21} + \)\(35\!\cdots\!49\)\( T^{22} + \)\(13\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!98\)\( T^{24} + \)\(15\!\cdots\!63\)\( T^{25} + \)\(45\!\cdots\!98\)\( T^{26} + \)\(10\!\cdots\!87\)\( T^{27} + \)\(21\!\cdots\!00\)\( T^{28} + \)\(31\!\cdots\!15\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 + 17 T + 348 T^{2} + 4093 T^{3} + 50342 T^{4} + 474503 T^{5} + 4530500 T^{6} + 37150636 T^{7} + 305155485 T^{8} + 2279316422 T^{9} + 16947921481 T^{10} + 118033610325 T^{11} + 814686544073 T^{12} + 5332719360778 T^{13} + 34418710198078 T^{14} + 211139165435300 T^{15} + 1273492277328886 T^{16} + 7300492804905082 T^{17} + 41266317516929669 T^{18} + 221213989160312325 T^{19} + 1175235938417840317 T^{20} + 5848102338392788598 T^{21} + 28968983008481024505 T^{22} + \)\(13\!\cdots\!56\)\( T^{23} + \)\(58\!\cdots\!00\)\( T^{24} + \)\(22\!\cdots\!47\)\( T^{25} + \)\(89\!\cdots\!46\)\( T^{26} + \)\(26\!\cdots\!33\)\( T^{27} + \)\(84\!\cdots\!56\)\( T^{28} + \)\(15\!\cdots\!13\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 - 35 T + 900 T^{2} - 16527 T^{3} + 255846 T^{4} - 3326587 T^{5} + 38445574 T^{6} - 395119568 T^{7} + 3718745153 T^{8} - 32096223136 T^{9} + 258936956155 T^{10} - 1954785075383 T^{11} + 13999026028871 T^{12} - 95069086892490 T^{13} + 618109456563016 T^{14} - 3836610105532724 T^{15} + 22870049892831592 T^{16} - 130149579955818810 T^{17} + 709092665440402763 T^{18} - 3663581951664878663 T^{19} + 17955713153323205335 T^{20} - 82350127329191998624 T^{21} + \)\(35\!\cdots\!49\)\( T^{22} - \)\(13\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!98\)\( T^{24} - \)\(15\!\cdots\!63\)\( T^{25} + \)\(45\!\cdots\!98\)\( T^{26} - \)\(10\!\cdots\!87\)\( T^{27} + \)\(21\!\cdots\!00\)\( T^{28} - \)\(31\!\cdots\!15\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))(\( 1 - 17 T + 348 T^{2} - 4093 T^{3} + 50342 T^{4} - 474503 T^{5} + 4530500 T^{6} - 37150636 T^{7} + 305155485 T^{8} - 2279316422 T^{9} + 16947921481 T^{10} - 118033610325 T^{11} + 814686544073 T^{12} - 5332719360778 T^{13} + 34418710198078 T^{14} - 211139165435300 T^{15} + 1273492277328886 T^{16} - 7300492804905082 T^{17} + 41266317516929669 T^{18} - 221213989160312325 T^{19} + 1175235938417840317 T^{20} - 5848102338392788598 T^{21} + 28968983008481024505 T^{22} - \)\(13\!\cdots\!56\)\( T^{23} + \)\(58\!\cdots\!00\)\( T^{24} - \)\(22\!\cdots\!47\)\( T^{25} + \)\(89\!\cdots\!46\)\( T^{26} - \)\(26\!\cdots\!33\)\( T^{27} + \)\(84\!\cdots\!56\)\( T^{28} - \)\(15\!\cdots\!13\)\( T^{29} + \)\(33\!\cdots\!93\)\( T^{30} \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 21 T + 249 T^{2} - 1925 T^{3} + 10209 T^{4} - 35301 T^{5} + 68921 T^{6} \))(\( 1 + 2 T + 59 T^{2} + 268 T^{3} + 2419 T^{4} + 3362 T^{5} + 68921 T^{6} \))(\( 1 + 15 T + 185 T^{2} + 1303 T^{3} + 7585 T^{4} + 25215 T^{5} + 68921 T^{6} \))(\( 1 - 18 T + 203 T^{2} - 1580 T^{3} + 8323 T^{4} - 30258 T^{5} + 68921 T^{6} \))(\( 1 + 2 T - 5 T^{2} - 244 T^{3} - 205 T^{4} + 3362 T^{5} + 68921 T^{6} \))(\( 1 + 15 T + 191 T^{2} + 1323 T^{3} + 7831 T^{4} + 25215 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 35 T^{2} - 131 T^{3} + 1435 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 - 2 T + 59 T^{2} - 268 T^{3} + 2419 T^{4} - 3362 T^{5} + 68921 T^{6} \))(\( 1 + 21 T + 231 T^{2} + 1703 T^{3} + 9471 T^{4} + 35301 T^{5} + 68921 T^{6} \))(\( 1 + 21 T + 249 T^{2} + 1925 T^{3} + 10209 T^{4} + 35301 T^{5} + 68921 T^{6} \))(\( 1 - 15 T + 185 T^{2} - 1303 T^{3} + 7585 T^{4} - 25215 T^{5} + 68921 T^{6} \))(\( 1 + 18 T + 203 T^{2} + 1580 T^{3} + 8323 T^{4} + 30258 T^{5} + 68921 T^{6} \))(\( 1 + 9 T + 131 T^{2} + 727 T^{3} + 5371 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 - 15 T + 191 T^{2} - 1323 T^{3} + 7831 T^{4} - 25215 T^{5} + 68921 T^{6} \))(\( 1 - 2 T - 5 T^{2} + 244 T^{3} - 205 T^{4} - 3362 T^{5} + 68921 T^{6} \))(\( 1 - 4 T + 139 T^{2} - 381 T^{3} + 7989 T^{4} - 15621 T^{5} + 233659 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 15 T + 142 T^{2} - 1238 T^{3} + 9512 T^{4} - 50758 T^{5} + 238702 T^{6} - 1033815 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 139 T^{2} + 381 T^{3} + 7989 T^{4} + 15621 T^{5} + 233659 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 3 T + 146 T^{2} + 338 T^{3} + 10729 T^{4} + 18647 T^{5} + 526472 T^{6} + 764527 T^{7} + 18035449 T^{8} + 23295298 T^{9} + 412561106 T^{10} + 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 - 3 T + 146 T^{2} - 338 T^{3} + 10729 T^{4} - 18647 T^{5} + 526472 T^{6} - 764527 T^{7} + 18035449 T^{8} - 23295298 T^{9} + 412561106 T^{10} - 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 + 15 T + 281 T^{2} + 3087 T^{3} + 33455 T^{4} + 284081 T^{5} + 2234519 T^{6} + 14979618 T^{7} + 91615279 T^{8} + 477540161 T^{9} + 2305752055 T^{10} + 8723124207 T^{11} + 32555592481 T^{12} + 71251563615 T^{13} + 194754273881 T^{14} \))(\( 1 - 15 T + 281 T^{2} - 3087 T^{3} + 33455 T^{4} - 284081 T^{5} + 2234519 T^{6} - 14979618 T^{7} + 91615279 T^{8} - 477540161 T^{9} + 2305752055 T^{10} - 8723124207 T^{11} + 32555592481 T^{12} - 71251563615 T^{13} + 194754273881 T^{14} \))(\( 1 + 2 T + 140 T^{2} + 270 T^{3} + 12623 T^{4} + 20902 T^{5} + 755977 T^{6} + 1115562 T^{7} + 35795383 T^{8} + 45738042 T^{9} + 1270797337 T^{10} + 1440586742 T^{11} + 35669581103 T^{12} + 31281174270 T^{13} + 665014593740 T^{14} + 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 - 2 T + 140 T^{2} - 270 T^{3} + 12623 T^{4} - 20902 T^{5} + 755977 T^{6} - 1115562 T^{7} + 35795383 T^{8} - 45738042 T^{9} + 1270797337 T^{10} - 1440586742 T^{11} + 35669581103 T^{12} - 31281174270 T^{13} + 665014593740 T^{14} - 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 + 11 T + 219 T^{2} + 1634 T^{3} + 21246 T^{4} + 128835 T^{5} + 1401890 T^{6} + 7279099 T^{7} + 70048476 T^{8} + 323514265 T^{9} + 2871987516 T^{10} + 12236165419 T^{11} + 96619660690 T^{12} + 364056918435 T^{13} + 2461480846446 T^{14} + 7761670329794 T^{15} + 42651185979939 T^{16} + 87834177520331 T^{17} + 327381934393961 T^{18} \))(\( 1 - 19 T + 433 T^{2} - 5770 T^{3} + 76658 T^{4} - 782005 T^{5} + 7606956 T^{6} - 61927179 T^{7} + 474824016 T^{8} - 3136899389 T^{9} + 19467784656 T^{10} - 104099587899 T^{11} + 524279014476 T^{12} - 2209759230805 T^{13} + 8881304656258 T^{14} - 27408101470570 T^{15} + 84328600590473 T^{16} - 151713579353299 T^{17} + 327381934393961 T^{18} \))(\( 1 - 11 T + 219 T^{2} - 1634 T^{3} + 21246 T^{4} - 128835 T^{5} + 1401890 T^{6} - 7279099 T^{7} + 70048476 T^{8} - 323514265 T^{9} + 2871987516 T^{10} - 12236165419 T^{11} + 96619660690 T^{12} - 364056918435 T^{13} + 2461480846446 T^{14} - 7761670329794 T^{15} + 42651185979939 T^{16} - 87834177520331 T^{17} + 327381934393961 T^{18} \))(\( 1 + 19 T + 433 T^{2} + 5770 T^{3} + 76658 T^{4} + 782005 T^{5} + 7606956 T^{6} + 61927179 T^{7} + 474824016 T^{8} + 3136899389 T^{9} + 19467784656 T^{10} + 104099587899 T^{11} + 524279014476 T^{12} + 2209759230805 T^{13} + 8881304656258 T^{14} + 27408101470570 T^{15} + 84328600590473 T^{16} + 151713579353299 T^{17} + 327381934393961 T^{18} \))(\( 1 + 6 T + 250 T^{2} + 1614 T^{3} + 33110 T^{4} + 202264 T^{5} + 3028515 T^{6} + 16488356 T^{7} + 209212193 T^{8} + 1012377750 T^{9} + 11638491348 T^{10} + 50769917398 T^{11} + 555663618152 T^{12} + 2231526511620 T^{13} + 23843898720030 T^{14} + 91492586976420 T^{15} + 934070542113512 T^{16} + 3499113476987558 T^{17} + 32887594950015828 T^{18} + 117290240091927750 T^{19} + 993779725238210513 T^{20} + 3211177800271429636 T^{21} + 24182465830271385315 T^{22} + 66217579578260127704 T^{23} + \)\(44\!\cdots\!10\)\( T^{24} + \)\(88\!\cdots\!74\)\( T^{25} + \)\(56\!\cdots\!50\)\( T^{26} + \)\(55\!\cdots\!26\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 6 T + 250 T^{2} - 1614 T^{3} + 33110 T^{4} - 202264 T^{5} + 3028515 T^{6} - 16488356 T^{7} + 209212193 T^{8} - 1012377750 T^{9} + 11638491348 T^{10} - 50769917398 T^{11} + 555663618152 T^{12} - 2231526511620 T^{13} + 23843898720030 T^{14} - 91492586976420 T^{15} + 934070542113512 T^{16} - 3499113476987558 T^{17} + 32887594950015828 T^{18} - 117290240091927750 T^{19} + 993779725238210513 T^{20} - 3211177800271429636 T^{21} + 24182465830271385315 T^{22} - 66217579578260127704 T^{23} + \)\(44\!\cdots\!10\)\( T^{24} - \)\(88\!\cdots\!74\)\( T^{25} + \)\(56\!\cdots\!50\)\( T^{26} - \)\(55\!\cdots\!26\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 + 15 T + 577 T^{2} + 7168 T^{3} + 150429 T^{4} + 1593552 T^{5} + 23838307 T^{6} + 219861657 T^{7} + 2601747543 T^{8} + 21226692667 T^{9} + 210116312557 T^{10} + 1535315042450 T^{11} + 13172160762789 T^{12} + 86932604070454 T^{13} + 662101478635813 T^{14} + 3957112035603594 T^{15} + 27146160624068333 T^{16} + 146133707442433174 T^{17} + 907838491932180669 T^{18} + 4338433369668554450 T^{19} + 24343277740982615957 T^{20} + \)\(10\!\cdots\!47\)\( T^{21} + \)\(50\!\cdots\!83\)\( T^{22} + \)\(17\!\cdots\!97\)\( T^{23} + \)\(78\!\cdots\!27\)\( T^{24} + \)\(21\!\cdots\!52\)\( T^{25} + \)\(82\!\cdots\!89\)\( T^{26} + \)\(16\!\cdots\!08\)\( T^{27} + \)\(53\!\cdots\!17\)\( T^{28} + \)\(56\!\cdots\!15\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 - 3 T + 223 T^{2} - 680 T^{3} + 29525 T^{4} - 92674 T^{5} + 2847875 T^{6} - 9038293 T^{7} + 219345423 T^{8} - 689965021 T^{9} + 14067234637 T^{10} - 42956040082 T^{11} + 769233919527 T^{12} - 2244719423278 T^{13} + 36325476884261 T^{14} - 99590613005058 T^{15} + 1489344552254701 T^{16} - 3773373350530318 T^{17} + 53016370967720367 T^{18} - 121383502778152402 T^{19} + 1629776363618434037 T^{20} - 3277405772393754061 T^{21} + 42718458585485796663 T^{22} - 72170093803887730453 T^{23} + \)\(93\!\cdots\!75\)\( T^{24} - \)\(12\!\cdots\!74\)\( T^{25} + \)\(16\!\cdots\!25\)\( T^{26} - \)\(15\!\cdots\!80\)\( T^{27} + \)\(20\!\cdots\!83\)\( T^{28} - \)\(11\!\cdots\!83\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 - 15 T + 577 T^{2} - 7168 T^{3} + 150429 T^{4} - 1593552 T^{5} + 23838307 T^{6} - 219861657 T^{7} + 2601747543 T^{8} - 21226692667 T^{9} + 210116312557 T^{10} - 1535315042450 T^{11} + 13172160762789 T^{12} - 86932604070454 T^{13} + 662101478635813 T^{14} - 3957112035603594 T^{15} + 27146160624068333 T^{16} - 146133707442433174 T^{17} + 907838491932180669 T^{18} - 4338433369668554450 T^{19} + 24343277740982615957 T^{20} - \)\(10\!\cdots\!47\)\( T^{21} + \)\(50\!\cdots\!83\)\( T^{22} - \)\(17\!\cdots\!97\)\( T^{23} + \)\(78\!\cdots\!27\)\( T^{24} - \)\(21\!\cdots\!52\)\( T^{25} + \)\(82\!\cdots\!89\)\( T^{26} - \)\(16\!\cdots\!08\)\( T^{27} + \)\(53\!\cdots\!17\)\( T^{28} - \)\(56\!\cdots\!15\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))(\( 1 + 3 T + 223 T^{2} + 680 T^{3} + 29525 T^{4} + 92674 T^{5} + 2847875 T^{6} + 9038293 T^{7} + 219345423 T^{8} + 689965021 T^{9} + 14067234637 T^{10} + 42956040082 T^{11} + 769233919527 T^{12} + 2244719423278 T^{13} + 36325476884261 T^{14} + 99590613005058 T^{15} + 1489344552254701 T^{16} + 3773373350530318 T^{17} + 53016370967720367 T^{18} + 121383502778152402 T^{19} + 1629776363618434037 T^{20} + 3277405772393754061 T^{21} + 42718458585485796663 T^{22} + 72170093803887730453 T^{23} + \)\(93\!\cdots\!75\)\( T^{24} + \)\(12\!\cdots\!74\)\( T^{25} + \)\(16\!\cdots\!25\)\( T^{26} + \)\(15\!\cdots\!80\)\( T^{27} + \)\(20\!\cdots\!83\)\( T^{28} + \)\(11\!\cdots\!83\)\( T^{29} + \)\(15\!\cdots\!01\)\( T^{30} \))
$43$ (\( 1 + 5 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 + 18 T + 125 T^{2} + 644 T^{3} + 5375 T^{4} + 33282 T^{5} + 79507 T^{6} \))(\( 1 - 6 T + 113 T^{2} - 412 T^{3} + 4859 T^{4} - 11094 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 120 T^{2} + 425 T^{3} + 5160 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - 4 T + 97 T^{2} - 280 T^{3} + 4171 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 - 12 T + 149 T^{2} - 960 T^{3} + 6407 T^{4} - 22188 T^{5} + 79507 T^{6} \))(\( 1 + T + 24 T^{2} + 437 T^{3} + 1032 T^{4} + 1849 T^{5} + 79507 T^{6} \))(\( 1 - 4 T + 13 T^{2} + 224 T^{3} + 559 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 - 6 T + 113 T^{2} - 412 T^{3} + 4859 T^{4} - 11094 T^{5} + 79507 T^{6} \))(\( 1 + 93 T^{2} - 72 T^{3} + 3999 T^{4} + 79507 T^{6} \))(\( 1 + 18 T + 125 T^{2} + 644 T^{3} + 5375 T^{4} + 33282 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 120 T^{2} + 425 T^{3} + 5160 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - 4 T + 97 T^{2} - 280 T^{3} + 4171 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 + 8 T + 125 T^{2} + 600 T^{3} + 5375 T^{4} + 14792 T^{5} + 79507 T^{6} \))(\( 1 + T + 24 T^{2} + 437 T^{3} + 1032 T^{4} + 1849 T^{5} + 79507 T^{6} \))(\( 1 - 12 T + 149 T^{2} - 960 T^{3} + 6407 T^{4} - 22188 T^{5} + 79507 T^{6} \))(\( 1 + 15 T + 203 T^{2} + 1768 T^{3} + 13888 T^{4} + 76024 T^{5} + 375347 T^{6} + 1192605 T^{7} + 3418801 T^{8} \))(\( 1 + 9 T + 84 T^{2} + 685 T^{3} + 6350 T^{4} + 29455 T^{5} + 155316 T^{6} + 715563 T^{7} + 3418801 T^{8} \))(\( 1 + 15 T + 203 T^{2} + 1768 T^{3} + 13888 T^{4} + 76024 T^{5} + 375347 T^{6} + 1192605 T^{7} + 3418801 T^{8} \))(\( 1 - 13 T + 277 T^{2} - 2558 T^{3} + 30395 T^{4} - 209705 T^{5} + 1748838 T^{6} - 9017315 T^{7} + 56200355 T^{8} - 203378906 T^{9} + 947007877 T^{10} - 1911109759 T^{11} + 6321363049 T^{12} \))(\( 1 - 13 T + 277 T^{2} - 2558 T^{3} + 30395 T^{4} - 209705 T^{5} + 1748838 T^{6} - 9017315 T^{7} + 56200355 T^{8} - 203378906 T^{9} + 947007877 T^{10} - 1911109759 T^{11} + 6321363049 T^{12} \))(\( 1 - 23 T + 395 T^{2} - 4698 T^{3} + 47751 T^{4} - 398081 T^{5} + 3044749 T^{6} - 20515756 T^{7} + 130924207 T^{8} - 736051769 T^{9} + 3796538757 T^{10} - 16061527098 T^{11} + 58068334985 T^{12} - 145391350127 T^{13} + 271818611107 T^{14} \))(\( 1 - 23 T + 395 T^{2} - 4698 T^{3} + 47751 T^{4} - 398081 T^{5} + 3044749 T^{6} - 20515756 T^{7} + 130924207 T^{8} - 736051769 T^{9} + 3796538757 T^{10} - 16061527098 T^{11} + 58068334985 T^{12} - 145391350127 T^{13} + 271818611107 T^{14} \))(\( 1 + 16 T + 355 T^{2} + 3936 T^{3} + 51013 T^{4} + 437444 T^{5} + 4184730 T^{6} + 28999360 T^{7} + 220840874 T^{8} + 1246972480 T^{9} + 7737565770 T^{10} + 34779860108 T^{11} + 174403295413 T^{12} + 578625231648 T^{13} + 2244083882395 T^{14} + 4349097777712 T^{15} + 11688200277601 T^{16} \))(\( 1 + 16 T + 355 T^{2} + 3936 T^{3} + 51013 T^{4} + 437444 T^{5} + 4184730 T^{6} + 28999360 T^{7} + 220840874 T^{8} + 1246972480 T^{9} + 7737565770 T^{10} + 34779860108 T^{11} + 174403295413 T^{12} + 578625231648 T^{13} + 2244083882395 T^{14} + 4349097777712 T^{15} + 11688200277601 T^{16} \))(\( 1 + 10 T + 259 T^{2} + 1914 T^{3} + 31030 T^{4} + 188859 T^{5} + 2420292 T^{6} + 12659674 T^{7} + 137661972 T^{8} + 627670231 T^{9} + 5919464796 T^{10} + 23407737226 T^{11} + 192430156044 T^{12} + 645671338059 T^{13} + 4561671986290 T^{14} + 12099088875786 T^{15} + 70401020276713 T^{16} + 116882002776010 T^{17} + 502592611936843 T^{18} \))(\( 1 + 16 T + 339 T^{2} + 4244 T^{3} + 53180 T^{4} + 536459 T^{5} + 5015332 T^{6} + 41707632 T^{7} + 313586296 T^{8} + 2168590665 T^{9} + 13484210728 T^{10} + 77117411568 T^{11} + 398754001324 T^{12} + 1834046565659 T^{13} + 7817908998740 T^{14} + 26827864779956 T^{15} + 92146509165273 T^{16} + 187011204441616 T^{17} + 502592611936843 T^{18} \))(\( 1 + 10 T + 259 T^{2} + 1914 T^{3} + 31030 T^{4} + 188859 T^{5} + 2420292 T^{6} + 12659674 T^{7} + 137661972 T^{8} + 627670231 T^{9} + 5919464796 T^{10} + 23407737226 T^{11} + 192430156044 T^{12} + 645671338059 T^{13} + 4561671986290 T^{14} + 12099088875786 T^{15} + 70401020276713 T^{16} + 116882002776010 T^{17} + 502592611936843 T^{18} \))(\( 1 + 16 T + 339 T^{2} + 4244 T^{3} + 53180 T^{4} + 536459 T^{5} + 5015332 T^{6} + 41707632 T^{7} + 313586296 T^{8} + 2168590665 T^{9} + 13484210728 T^{10} + 77117411568 T^{11} + 398754001324 T^{12} + 1834046565659 T^{13} + 7817908998740 T^{14} + 26827864779956 T^{15} + 92146509165273 T^{16} + 187011204441616 T^{17} + 502592611936843 T^{18} \))(\( 1 - 28 T + 557 T^{2} - 7700 T^{3} + 90346 T^{4} - 883072 T^{5} + 7963981 T^{6} - 65243564 T^{7} + 524691940 T^{8} - 4021726320 T^{9} + 30865402519 T^{10} - 225888812568 T^{11} + 1634976978249 T^{12} - 11193536806572 T^{13} + 75457826587358 T^{14} - 481322082682596 T^{15} + 3023072432782401 T^{16} - 17959741820843976 T^{17} + 105522668997359719 T^{18} - 591227724475319760 T^{19} + 3316768241624125060 T^{20} - 17734414950150665348 T^{21} + 93084604935009089581 T^{22} - \)\(44\!\cdots\!96\)\( T^{23} + \)\(19\!\cdots\!54\)\( T^{24} - \)\(71\!\cdots\!00\)\( T^{25} + \)\(22\!\cdots\!57\)\( T^{26} - \)\(48\!\cdots\!04\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 28 T + 557 T^{2} - 7700 T^{3} + 90346 T^{4} - 883072 T^{5} + 7963981 T^{6} - 65243564 T^{7} + 524691940 T^{8} - 4021726320 T^{9} + 30865402519 T^{10} - 225888812568 T^{11} + 1634976978249 T^{12} - 11193536806572 T^{13} + 75457826587358 T^{14} - 481322082682596 T^{15} + 3023072432782401 T^{16} - 17959741820843976 T^{17} + 105522668997359719 T^{18} - 591227724475319760 T^{19} + 3316768241624125060 T^{20} - 17734414950150665348 T^{21} + 93084604935009089581 T^{22} - \)\(44\!\cdots\!96\)\( T^{23} + \)\(19\!\cdots\!54\)\( T^{24} - \)\(71\!\cdots\!00\)\( T^{25} + \)\(22\!\cdots\!57\)\( T^{26} - \)\(48\!\cdots\!04\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - T + 353 T^{2} - 1101 T^{3} + 61403 T^{4} - 311520 T^{5} + 7196812 T^{6} - 47852116 T^{7} + 646579399 T^{8} - 4942096773 T^{9} + 47241578767 T^{10} - 378608199523 T^{11} + 2875038802820 T^{12} - 22643517120176 T^{13} + 146908922061155 T^{14} - 1084134867911380 T^{15} + 6317083648629665 T^{16} - 41867863155205424 T^{17} + 228585710095809740 T^{18} - 1294386091137431923 T^{19} + 6944910939398529781 T^{20} - 31240787925424340877 T^{21} + \)\(17\!\cdots\!93\)\( T^{22} - \)\(55\!\cdots\!16\)\( T^{23} + \)\(36\!\cdots\!16\)\( T^{24} - \)\(67\!\cdots\!80\)\( T^{25} + \)\(57\!\cdots\!21\)\( T^{26} - \)\(43\!\cdots\!01\)\( T^{27} + \)\(60\!\cdots\!79\)\( T^{28} - \)\(73\!\cdots\!49\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 + 7 T + 313 T^{2} + 1809 T^{3} + 49351 T^{4} + 238082 T^{5} + 5252598 T^{6} + 21272938 T^{7} + 425578711 T^{8} + 1452240221 T^{9} + 28039822693 T^{10} + 81421521439 T^{11} + 1566274114392 T^{12} + 3975826894446 T^{13} + 76222003218243 T^{14} + 177219836989828 T^{15} + 3277546138384449 T^{16} + 7351303927830654 T^{17} + 124529756012964744 T^{18} + 278363978917174639 T^{19} + 4122090676093996999 T^{20} + 9180137671300993829 T^{21} + \)\(11\!\cdots\!77\)\( T^{22} + \)\(24\!\cdots\!38\)\( T^{23} + \)\(26\!\cdots\!14\)\( T^{24} + \)\(51\!\cdots\!18\)\( T^{25} + \)\(45\!\cdots\!57\)\( T^{26} + \)\(72\!\cdots\!09\)\( T^{27} + \)\(53\!\cdots\!59\)\( T^{28} + \)\(51\!\cdots\!43\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 - T + 353 T^{2} - 1101 T^{3} + 61403 T^{4} - 311520 T^{5} + 7196812 T^{6} - 47852116 T^{7} + 646579399 T^{8} - 4942096773 T^{9} + 47241578767 T^{10} - 378608199523 T^{11} + 2875038802820 T^{12} - 22643517120176 T^{13} + 146908922061155 T^{14} - 1084134867911380 T^{15} + 6317083648629665 T^{16} - 41867863155205424 T^{17} + 228585710095809740 T^{18} - 1294386091137431923 T^{19} + 6944910939398529781 T^{20} - 31240787925424340877 T^{21} + \)\(17\!\cdots\!93\)\( T^{22} - \)\(55\!\cdots\!16\)\( T^{23} + \)\(36\!\cdots\!16\)\( T^{24} - \)\(67\!\cdots\!80\)\( T^{25} + \)\(57\!\cdots\!21\)\( T^{26} - \)\(43\!\cdots\!01\)\( T^{27} + \)\(60\!\cdots\!79\)\( T^{28} - \)\(73\!\cdots\!49\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))(\( 1 + 7 T + 313 T^{2} + 1809 T^{3} + 49351 T^{4} + 238082 T^{5} + 5252598 T^{6} + 21272938 T^{7} + 425578711 T^{8} + 1452240221 T^{9} + 28039822693 T^{10} + 81421521439 T^{11} + 1566274114392 T^{12} + 3975826894446 T^{13} + 76222003218243 T^{14} + 177219836989828 T^{15} + 3277546138384449 T^{16} + 7351303927830654 T^{17} + 124529756012964744 T^{18} + 278363978917174639 T^{19} + 4122090676093996999 T^{20} + 9180137671300993829 T^{21} + \)\(11\!\cdots\!77\)\( T^{22} + \)\(24\!\cdots\!38\)\( T^{23} + \)\(26\!\cdots\!14\)\( T^{24} + \)\(51\!\cdots\!18\)\( T^{25} + \)\(45\!\cdots\!57\)\( T^{26} + \)\(72\!\cdots\!09\)\( T^{27} + \)\(53\!\cdots\!59\)\( T^{28} + \)\(51\!\cdots\!43\)\( T^{29} + \)\(31\!\cdots\!07\)\( T^{30} \))
$47$ (\( 1 - 7 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + 12 T + 161 T^{2} + 1024 T^{3} + 7567 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( ( 1 + 47 T^{2} )^{3} \))(\( 1 - 11 T + 125 T^{2} - 1039 T^{3} + 5875 T^{4} - 24299 T^{5} + 103823 T^{6} \))(\( 1 - 2 T + 105 T^{2} - 180 T^{3} + 4935 T^{4} - 4418 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 32 T^{2} - 21 T^{3} + 1504 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 + 19 T + 235 T^{2} + 1825 T^{3} + 11045 T^{4} + 41971 T^{5} + 103823 T^{6} \))(\( 1 + 8 T - 15 T^{2} - 600 T^{3} - 705 T^{4} + 17672 T^{5} + 103823 T^{6} \))(\( ( 1 + 47 T^{2} )^{3} \))(\( 1 - 24 T + 297 T^{2} - 2408 T^{3} + 13959 T^{4} - 53016 T^{5} + 103823 T^{6} \))(\( 1 - 12 T + 161 T^{2} - 1024 T^{3} + 7567 T^{4} - 26508 T^{5} + 103823 T^{6} \))(\( 1 + 11 T + 125 T^{2} + 1039 T^{3} + 5875 T^{4} + 24299 T^{5} + 103823 T^{6} \))(\( 1 + 2 T + 105 T^{2} + 180 T^{3} + 4935 T^{4} + 4418 T^{5} + 103823 T^{6} \))(\( 1 + 4 T + 121 T^{2} + 384 T^{3} + 5687 T^{4} + 8836 T^{5} + 103823 T^{6} \))(\( 1 - 19 T + 235 T^{2} - 1825 T^{3} + 11045 T^{4} - 41971 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 32 T^{2} + 21 T^{3} + 1504 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 - 25 T + 282 T^{2} - 1850 T^{3} + 10924 T^{4} - 86950 T^{5} + 622938 T^{6} - 2595575 T^{7} + 4879681 T^{8} \))(\( 1 + T + 76 T^{2} + 121 T^{3} + 5438 T^{4} + 5687 T^{5} + 167884 T^{6} + 103823 T^{7} + 4879681 T^{8} \))(\( 1 + 25 T + 282 T^{2} + 1850 T^{3} + 10924 T^{4} + 86950 T^{5} + 622938 T^{6} + 2595575 T^{7} + 4879681 T^{8} \))(\( 1 + 20 T + 426 T^{2} + 5117 T^{3} + 60433 T^{4} + 499748 T^{5} + 4005361 T^{6} + 23488156 T^{7} + 133496497 T^{8} + 531262291 T^{9} + 2078744106 T^{10} + 4586900140 T^{11} + 10779215329 T^{12} \))(\( 1 - 20 T + 426 T^{2} - 5117 T^{3} + 60433 T^{4} - 499748 T^{5} + 4005361 T^{6} - 23488156 T^{7} + 133496497 T^{8} - 531262291 T^{9} + 2078744106 T^{10} - 4586900140 T^{11} + 10779215329 T^{12} \))(\( 1 - T + 135 T^{2} + 302 T^{3} + 9127 T^{4} + 46801 T^{5} + 472929 T^{6} + 2965380 T^{7} + 22227663 T^{8} + 103383409 T^{9} + 947592521 T^{10} + 1473663662 T^{11} + 30961575945 T^{12} - 10779215329 T^{13} + 506623120463 T^{14} \))(\( 1 + T + 135 T^{2} - 302 T^{3} + 9127 T^{4} - 46801 T^{5} + 472929 T^{6} - 2965380 T^{7} + 22227663 T^{8} - 103383409 T^{9} + 947592521 T^{10} - 1473663662 T^{11} + 30961575945 T^{12} + 10779215329 T^{13} + 506623120463 T^{14} \))(\( 1 + 12 T + 335 T^{2} + 3080 T^{3} + 48254 T^{4} + 356304 T^{5} + 4084834 T^{6} + 24948302 T^{7} + 230589774 T^{8} + 1172570194 T^{9} + 9023398306 T^{10} + 36992550192 T^{11} + 235464126974 T^{12} + 706382621560 T^{13} + 3611037135215 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 - 12 T + 335 T^{2} - 3080 T^{3} + 48254 T^{4} - 356304 T^{5} + 4084834 T^{6} - 24948302 T^{7} + 230589774 T^{8} - 1172570194 T^{9} + 9023398306 T^{10} - 36992550192 T^{11} + 235464126974 T^{12} - 706382621560 T^{13} + 3611037135215 T^{14} - 6079477445556 T^{15} + 23811286661761 T^{16} \))(\( 1 - 12 T + 313 T^{2} - 3035 T^{3} + 45516 T^{4} - 364388 T^{5} + 4113073 T^{6} - 27995315 T^{7} + 260760486 T^{8} - 1534786273 T^{9} + 12255742842 T^{10} - 61841650835 T^{11} + 427031578079 T^{12} - 1778097200228 T^{13} + 10438867338612 T^{14} - 32714918523515 T^{15} + 158573036704919 T^{16} - 285735439941132 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 18 T + 469 T^{2} - 5977 T^{3} + 89800 T^{4} - 889336 T^{5} + 9764321 T^{6} - 78401843 T^{7} + 681995364 T^{8} - 4506165209 T^{9} + 32053782108 T^{10} - 173189671187 T^{11} + 1013761099183 T^{12} - 4339675981816 T^{13} + 20595181628600 T^{14} - 64427370021433 T^{15} + 237606243497147 T^{16} - 428603159911698 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 12 T + 313 T^{2} + 3035 T^{3} + 45516 T^{4} + 364388 T^{5} + 4113073 T^{6} + 27995315 T^{7} + 260760486 T^{8} + 1534786273 T^{9} + 12255742842 T^{10} + 61841650835 T^{11} + 427031578079 T^{12} + 1778097200228 T^{13} + 10438867338612 T^{14} + 32714918523515 T^{15} + 158573036704919 T^{16} + 285735439941132 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 18 T + 469 T^{2} + 5977 T^{3} + 89800 T^{4} + 889336 T^{5} + 9764321 T^{6} + 78401843 T^{7} + 681995364 T^{8} + 4506165209 T^{9} + 32053782108 T^{10} + 173189671187 T^{11} + 1013761099183 T^{12} + 4339675981816 T^{13} + 20595181628600 T^{14} + 64427370021433 T^{15} + 237606243497147 T^{16} + 428603159911698 T^{17} + 1119130473102767 T^{18} \))(\( 1 - 20 T + 568 T^{2} - 8204 T^{3} + 135835 T^{4} - 1555080 T^{5} + 19038707 T^{6} - 181470614 T^{7} + 1798332629 T^{8} - 14786666372 T^{9} + 125364606057 T^{10} - 921986116410 T^{11} + 7031697897258 T^{12} - 48166484335366 T^{13} + 345806132834576 T^{14} - 2263824763762202 T^{15} + 15533020655042922 T^{16} - 95723364564035430 T^{17} + 611739286248827817 T^{18} - 3391248102593004604 T^{19} + 19384614641157669941 T^{20} - 91937208737016574282 T^{21} + \)\(45\!\cdots\!27\)\( T^{22} - \)\(17\!\cdots\!60\)\( T^{23} + \)\(71\!\cdots\!15\)\( T^{24} - \)\(20\!\cdots\!12\)\( T^{25} + \)\(65\!\cdots\!88\)\( T^{26} - \)\(10\!\cdots\!40\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 + 20 T + 568 T^{2} + 8204 T^{3} + 135835 T^{4} + 1555080 T^{5} + 19038707 T^{6} + 181470614 T^{7} + 1798332629 T^{8} + 14786666372 T^{9} + 125364606057 T^{10} + 921986116410 T^{11} + 7031697897258 T^{12} + 48166484335366 T^{13} + 345806132834576 T^{14} + 2263824763762202 T^{15} + 15533020655042922 T^{16} + 95723364564035430 T^{17} + 611739286248827817 T^{18} + 3391248102593004604 T^{19} + 19384614641157669941 T^{20} + 91937208737016574282 T^{21} + \)\(45\!\cdots\!27\)\( T^{22} + \)\(17\!\cdots\!60\)\( T^{23} + \)\(71\!\cdots\!15\)\( T^{24} + \)\(20\!\cdots\!12\)\( T^{25} + \)\(65\!\cdots\!88\)\( T^{26} + \)\(10\!\cdots\!40\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 + 147 T^{2} + 549 T^{3} + 15243 T^{4} + 55718 T^{5} + 1381452 T^{6} + 4477976 T^{7} + 90223209 T^{8} + 298982547 T^{9} + 5293164754 T^{10} + 13762253173 T^{11} + 277665096294 T^{12} + 624697787959 T^{13} + 13218605024826 T^{14} + 28845884624380 T^{15} + 621274436166822 T^{16} + 1379957413601431 T^{17} + 28828023292531962 T^{18} + 67155405325477813 T^{19} + 1213960907558283278 T^{20} + 3222797253725862963 T^{21} + 45709163681765425767 T^{22} + \)\(10\!\cdots\!36\)\( T^{23} + \)\(15\!\cdots\!84\)\( T^{24} + \)\(29\!\cdots\!82\)\( T^{25} + \)\(37\!\cdots\!29\)\( T^{26} + \)\(63\!\cdots\!09\)\( T^{27} + \)\(80\!\cdots\!69\)\( T^{28} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 + 303 T^{2} - 361 T^{3} + 49073 T^{4} - 99634 T^{5} + 5602622 T^{6} - 14976404 T^{7} + 498070809 T^{8} - 1570544867 T^{9} + 36421992956 T^{10} - 125607381781 T^{11} + 2262689560658 T^{12} - 8010410836523 T^{13} + 121706326018212 T^{14} - 415919011446428 T^{15} + 5720197322855964 T^{16} - 17694997537879307 T^{17} + 234919218256195534 T^{18} - 612923954336491861 T^{19} + 8353202229447770692 T^{20} - 16929241305248666243 T^{21} + \)\(25\!\cdots\!67\)\( T^{22} - \)\(35\!\cdots\!44\)\( T^{23} + \)\(62\!\cdots\!74\)\( T^{24} - \)\(52\!\cdots\!66\)\( T^{25} + \)\(12\!\cdots\!19\)\( T^{26} - \)\(41\!\cdots\!01\)\( T^{27} + \)\(16\!\cdots\!81\)\( T^{28} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 + 147 T^{2} - 549 T^{3} + 15243 T^{4} - 55718 T^{5} + 1381452 T^{6} - 4477976 T^{7} + 90223209 T^{8} - 298982547 T^{9} + 5293164754 T^{10} - 13762253173 T^{11} + 277665096294 T^{12} - 624697787959 T^{13} + 13218605024826 T^{14} - 28845884624380 T^{15} + 621274436166822 T^{16} - 1379957413601431 T^{17} + 28828023292531962 T^{18} - 67155405325477813 T^{19} + 1213960907558283278 T^{20} - 3222797253725862963 T^{21} + 45709163681765425767 T^{22} - \)\(10\!\cdots\!36\)\( T^{23} + \)\(15\!\cdots\!84\)\( T^{24} - \)\(29\!\cdots\!82\)\( T^{25} + \)\(37\!\cdots\!29\)\( T^{26} - \)\(63\!\cdots\!09\)\( T^{27} + \)\(80\!\cdots\!69\)\( T^{28} + \)\(12\!\cdots\!43\)\( T^{30} \))(\( 1 + 303 T^{2} + 361 T^{3} + 49073 T^{4} + 99634 T^{5} + 5602622 T^{6} + 14976404 T^{7} + 498070809 T^{8} + 1570544867 T^{9} + 36421992956 T^{10} + 125607381781 T^{11} + 2262689560658 T^{12} + 8010410836523 T^{13} + 121706326018212 T^{14} + 415919011446428 T^{15} + 5720197322855964 T^{16} + 17694997537879307 T^{17} + 234919218256195534 T^{18} + 612923954336491861 T^{19} + 8353202229447770692 T^{20} + 16929241305248666243 T^{21} + \)\(25\!\cdots\!67\)\( T^{22} + \)\(35\!\cdots\!44\)\( T^{23} + \)\(62\!\cdots\!74\)\( T^{24} + \)\(52\!\cdots\!66\)\( T^{25} + \)\(12\!\cdots\!19\)\( T^{26} + \)\(41\!\cdots\!01\)\( T^{27} + \)\(16\!\cdots\!81\)\( T^{28} + \)\(12\!\cdots\!43\)\( T^{30} \))
$53$ (\( 1 - 2 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 11 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 11 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 + 8 T + 115 T^{2} + 840 T^{3} + 6095 T^{4} + 22472 T^{5} + 148877 T^{6} \))(\( 1 - 5 T + 111 T^{2} - 603 T^{3} + 5883 T^{4} - 14045 T^{5} + 148877 T^{6} \))(\( 1 + 26 T + 375 T^{2} + 3324 T^{3} + 19875 T^{4} + 73034 T^{5} + 148877 T^{6} \))(\( 1 - 10 T + 160 T^{2} - 949 T^{3} + 8480 T^{4} - 28090 T^{5} + 148877 T^{6} \))(\( 1 + 13 T + 201 T^{2} + 1405 T^{3} + 10653 T^{4} + 36517 T^{5} + 148877 T^{6} \))(\( 1 - T + 115 T^{2} + 21 T^{3} + 6095 T^{4} - 2809 T^{5} + 148877 T^{6} \))(\( 1 + 8 T + 115 T^{2} + 840 T^{3} + 6095 T^{4} + 22472 T^{5} + 148877 T^{6} \))(\( 1 + 3 T + 135 T^{2} + 265 T^{3} + 7155 T^{4} + 8427 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 5 T + 111 T^{2} - 603 T^{3} + 5883 T^{4} - 14045 T^{5} + 148877 T^{6} \))(\( 1 + 26 T + 375 T^{2} + 3324 T^{3} + 19875 T^{4} + 73034 T^{5} + 148877 T^{6} \))(\( 1 - 15 T + 215 T^{2} - 1601 T^{3} + 11395 T^{4} - 42135 T^{5} + 148877 T^{6} \))(\( 1 + 13 T + 201 T^{2} + 1405 T^{3} + 10653 T^{4} + 36517 T^{5} + 148877 T^{6} \))(\( 1 - 10 T + 160 T^{2} - 949 T^{3} + 8480 T^{4} - 28090 T^{5} + 148877 T^{6} \))(\( 1 + 8 T + 217 T^{2} + 1253 T^{3} + 17383 T^{4} + 66409 T^{5} + 609553 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 19 T + 230 T^{2} + 1862 T^{3} + 13920 T^{4} + 98686 T^{5} + 646070 T^{6} + 2828663 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 217 T^{2} + 1253 T^{3} + 17383 T^{4} + 66409 T^{5} + 609553 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 25 T + 397 T^{2} - 4292 T^{3} + 35242 T^{4} - 248784 T^{5} + 1703239 T^{6} - 13185552 T^{7} + 98994778 T^{8} - 638980084 T^{9} + 3132520957 T^{10} - 10454887325 T^{11} + 22164361129 T^{12} \))(\( 1 - 25 T + 397 T^{2} - 4292 T^{3} + 35242 T^{4} - 248784 T^{5} + 1703239 T^{6} - 13185552 T^{7} + 98994778 T^{8} - 638980084 T^{9} + 3132520957 T^{10} - 10454887325 T^{11} + 22164361129 T^{12} \))(\( 1 - 21 T + 362 T^{2} - 4604 T^{3} + 51046 T^{4} - 483304 T^{5} + 4128631 T^{6} - 31517530 T^{7} + 218817443 T^{8} - 1357600936 T^{9} + 7599575342 T^{10} - 36327774524 T^{11} + 151386768466 T^{12} - 465451583709 T^{13} + 1174711139837 T^{14} \))(\( 1 - 21 T + 362 T^{2} - 4604 T^{3} + 51046 T^{4} - 483304 T^{5} + 4128631 T^{6} - 31517530 T^{7} + 218817443 T^{8} - 1357600936 T^{9} + 7599575342 T^{10} - 36327774524 T^{11} + 151386768466 T^{12} - 465451583709 T^{13} + 1174711139837 T^{14} \))(\( 1 + 24 T + 316 T^{2} + 2864 T^{3} + 23551 T^{4} + 183314 T^{5} + 1279061 T^{6} + 7262870 T^{7} + 45384983 T^{8} + 384932110 T^{9} + 3592882349 T^{10} + 27291238378 T^{11} + 185828718031 T^{12} + 1197711891952 T^{13} + 7003938116764 T^{14} + 28193067356088 T^{15} + 62259690411361 T^{16} \))(\( 1 + 24 T + 316 T^{2} + 2864 T^{3} + 23551 T^{4} + 183314 T^{5} + 1279061 T^{6} + 7262870 T^{7} + 45384983 T^{8} + 384932110 T^{9} + 3592882349 T^{10} + 27291238378 T^{11} + 185828718031 T^{12} + 1197711891952 T^{13} + 7003938116764 T^{14} + 28193067356088 T^{15} + 62259690411361 T^{16} \))(\( 1 - 9 T + 240 T^{2} - 1607 T^{3} + 23547 T^{4} - 117969 T^{5} + 1236063 T^{6} - 4492884 T^{7} + 43810099 T^{8} - 150409425 T^{9} + 2321935247 T^{10} - 12620511156 T^{11} + 184021351251 T^{12} - 930832153089 T^{13} + 9847249273671 T^{14} - 35618128334303 T^{15} + 281930673560880 T^{16} - 560337213702249 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 17 T + 432 T^{2} - 5143 T^{3} + 76113 T^{4} - 705145 T^{5} + 7816361 T^{6} - 60008226 T^{7} + 552278217 T^{8} - 3661797017 T^{9} + 29270745501 T^{10} - 168563106834 T^{11} + 1163676376597 T^{12} - 5563933224745 T^{13} + 31830113558709 T^{14} - 113991309286447 T^{15} + 507475212409584 T^{16} - 1058414736993137 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 9 T + 240 T^{2} - 1607 T^{3} + 23547 T^{4} - 117969 T^{5} + 1236063 T^{6} - 4492884 T^{7} + 43810099 T^{8} - 150409425 T^{9} + 2321935247 T^{10} - 12620511156 T^{11} + 184021351251 T^{12} - 930832153089 T^{13} + 9847249273671 T^{14} - 35618128334303 T^{15} + 281930673560880 T^{16} - 560337213702249 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 17 T + 432 T^{2} - 5143 T^{3} + 76113 T^{4} - 705145 T^{5} + 7816361 T^{6} - 60008226 T^{7} + 552278217 T^{8} - 3661797017 T^{9} + 29270745501 T^{10} - 168563106834 T^{11} + 1163676376597 T^{12} - 5563933224745 T^{13} + 31830113558709 T^{14} - 113991309286447 T^{15} + 507475212409584 T^{16} - 1058414736993137 T^{17} + 3299763591802133 T^{18} \))(\( 1 - 12 T + 424 T^{2} - 3736 T^{3} + 80247 T^{4} - 553834 T^{5} + 9607528 T^{6} - 53365582 T^{7} + 845159359 T^{8} - 3800278134 T^{9} + 59586601870 T^{10} - 219711873404 T^{11} + 3609670170903 T^{12} - 11549850773718 T^{13} + 198559380171045 T^{14} - 612142091007054 T^{15} + 10139563510066527 T^{16} - 32710044576767308 T^{17} + 470166949909799470 T^{18} - 1589259187785250062 T^{19} + 18732417244430156311 T^{20} - 62689143659284890134 T^{21} + \)\(59\!\cdots\!08\)\( T^{22} - \)\(18\!\cdots\!22\)\( T^{23} + \)\(14\!\cdots\!03\)\( T^{24} - \)\(34\!\cdots\!92\)\( T^{25} + \)\(20\!\cdots\!84\)\( T^{26} - \)\(31\!\cdots\!76\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 12 T + 424 T^{2} - 3736 T^{3} + 80247 T^{4} - 553834 T^{5} + 9607528 T^{6} - 53365582 T^{7} + 845159359 T^{8} - 3800278134 T^{9} + 59586601870 T^{10} - 219711873404 T^{11} + 3609670170903 T^{12} - 11549850773718 T^{13} + 198559380171045 T^{14} - 612142091007054 T^{15} + 10139563510066527 T^{16} - 32710044576767308 T^{17} + 470166949909799470 T^{18} - 1589259187785250062 T^{19} + 18732417244430156311 T^{20} - 62689143659284890134 T^{21} + \)\(59\!\cdots\!08\)\( T^{22} - \)\(18\!\cdots\!22\)\( T^{23} + \)\(14\!\cdots\!03\)\( T^{24} - \)\(34\!\cdots\!92\)\( T^{25} + \)\(20\!\cdots\!84\)\( T^{26} - \)\(31\!\cdots\!76\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 + T + 226 T^{2} - 345 T^{3} + 29968 T^{4} - 87436 T^{5} + 3167103 T^{6} - 10622721 T^{7} + 280942513 T^{8} - 976602577 T^{9} + 21098939746 T^{10} - 75037901621 T^{11} + 1391451096024 T^{12} - 4815007783748 T^{13} + 82579871838123 T^{14} - 269067554954274 T^{15} + 4376733207420519 T^{16} - 13525356864548132 T^{17} + 207155064822765048 T^{18} - 592085137020369701 T^{19} + 8823481508855764778 T^{20} - 21645772196140029433 T^{21} + \)\(33\!\cdots\!81\)\( T^{22} - \)\(66\!\cdots\!81\)\( T^{23} + \)\(10\!\cdots\!99\)\( T^{24} - \)\(15\!\cdots\!64\)\( T^{25} + \)\(27\!\cdots\!96\)\( T^{26} - \)\(16\!\cdots\!45\)\( T^{27} + \)\(58\!\cdots\!98\)\( T^{28} + \)\(13\!\cdots\!69\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 + 7 T + 592 T^{2} + 3953 T^{3} + 169970 T^{4} + 1080282 T^{5} + 31421941 T^{6} + 189441093 T^{7} + 4188808079 T^{8} + 23821045449 T^{9} + 427193094238 T^{10} + 2272293952977 T^{11} + 34480820046392 T^{12} + 169572790330006 T^{13} + 2245366107131403 T^{14} + 10056970318657650 T^{15} + 119004403677964359 T^{16} + 476329968036986854 T^{17} + 5133401046046701784 T^{18} + 17929492262379911937 T^{19} + \)\(17\!\cdots\!34\)\( T^{20} + \)\(52\!\cdots\!21\)\( T^{21} + \)\(49\!\cdots\!23\)\( T^{22} + \)\(11\!\cdots\!73\)\( T^{23} + \)\(10\!\cdots\!53\)\( T^{24} + \)\(18\!\cdots\!18\)\( T^{25} + \)\(15\!\cdots\!90\)\( T^{26} + \)\(19\!\cdots\!73\)\( T^{27} + \)\(15\!\cdots\!16\)\( T^{28} + \)\(96\!\cdots\!83\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 + T + 226 T^{2} - 345 T^{3} + 29968 T^{4} - 87436 T^{5} + 3167103 T^{6} - 10622721 T^{7} + 280942513 T^{8} - 976602577 T^{9} + 21098939746 T^{10} - 75037901621 T^{11} + 1391451096024 T^{12} - 4815007783748 T^{13} + 82579871838123 T^{14} - 269067554954274 T^{15} + 4376733207420519 T^{16} - 13525356864548132 T^{17} + 207155064822765048 T^{18} - 592085137020369701 T^{19} + 8823481508855764778 T^{20} - 21645772196140029433 T^{21} + \)\(33\!\cdots\!81\)\( T^{22} - \)\(66\!\cdots\!81\)\( T^{23} + \)\(10\!\cdots\!99\)\( T^{24} - \)\(15\!\cdots\!64\)\( T^{25} + \)\(27\!\cdots\!96\)\( T^{26} - \)\(16\!\cdots\!45\)\( T^{27} + \)\(58\!\cdots\!98\)\( T^{28} + \)\(13\!\cdots\!69\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))(\( 1 + 7 T + 592 T^{2} + 3953 T^{3} + 169970 T^{4} + 1080282 T^{5} + 31421941 T^{6} + 189441093 T^{7} + 4188808079 T^{8} + 23821045449 T^{9} + 427193094238 T^{10} + 2272293952977 T^{11} + 34480820046392 T^{12} + 169572790330006 T^{13} + 2245366107131403 T^{14} + 10056970318657650 T^{15} + 119004403677964359 T^{16} + 476329968036986854 T^{17} + 5133401046046701784 T^{18} + 17929492262379911937 T^{19} + \)\(17\!\cdots\!34\)\( T^{20} + \)\(52\!\cdots\!21\)\( T^{21} + \)\(49\!\cdots\!23\)\( T^{22} + \)\(11\!\cdots\!73\)\( T^{23} + \)\(10\!\cdots\!53\)\( T^{24} + \)\(18\!\cdots\!18\)\( T^{25} + \)\(15\!\cdots\!90\)\( T^{26} + \)\(19\!\cdots\!73\)\( T^{27} + \)\(15\!\cdots\!16\)\( T^{28} + \)\(96\!\cdots\!83\)\( T^{29} + \)\(73\!\cdots\!57\)\( T^{30} \))
$59$ (\( 1 - 6 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 4 T + 145 T^{2} + 408 T^{3} + 8555 T^{4} + 13924 T^{5} + 205379 T^{6} \))(\( 1 - 11 T + 117 T^{2} - 765 T^{3} + 6903 T^{4} - 38291 T^{5} + 205379 T^{6} \))(\( 1 - 4 T + 48 T^{2} - 471 T^{3} + 2832 T^{4} - 13924 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 121 T^{2} - 735 T^{3} + 7139 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 22 T + 324 T^{2} + 2893 T^{3} + 19116 T^{4} + 76582 T^{5} + 205379 T^{6} \))(\( 1 + 4 T + 90 T^{2} + 121 T^{3} + 5310 T^{4} + 13924 T^{5} + 205379 T^{6} \))(\( 1 + 6 T - 7 T^{2} - 404 T^{3} - 413 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 + 11 T + 117 T^{2} + 765 T^{3} + 6903 T^{4} + 38291 T^{5} + 205379 T^{6} \))(\( 1 + 6 T + 153 T^{2} + 716 T^{3} + 9027 T^{4} + 20886 T^{5} + 205379 T^{6} \))(\( 1 - 4 T + 145 T^{2} - 408 T^{3} + 8555 T^{4} - 13924 T^{5} + 205379 T^{6} \))(\( 1 + 4 T + 48 T^{2} + 471 T^{3} + 2832 T^{4} + 13924 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 121 T^{2} + 735 T^{3} + 7139 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 + 2 T + 153 T^{2} + 180 T^{3} + 9027 T^{4} + 6962 T^{5} + 205379 T^{6} \))(\( 1 - 4 T + 90 T^{2} - 121 T^{3} + 5310 T^{4} - 13924 T^{5} + 205379 T^{6} \))(\( 1 - 22 T + 324 T^{2} - 2893 T^{3} + 19116 T^{4} - 76582 T^{5} + 205379 T^{6} \))(\( 1 - 28 T + 459 T^{2} - 5089 T^{3} + 44334 T^{4} - 300251 T^{5} + 1597779 T^{6} - 5750612 T^{7} + 12117361 T^{8} \))(\( 1 - 4 T + 200 T^{2} - 620 T^{3} + 16590 T^{4} - 36580 T^{5} + 696200 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 28 T + 459 T^{2} + 5089 T^{3} + 44334 T^{4} + 300251 T^{5} + 1597779 T^{6} + 5750612 T^{7} + 12117361 T^{8} \))(\( 1 + 134 T^{2} - 578 T^{3} + 12478 T^{4} - 41946 T^{5} + 992767 T^{6} - 2474814 T^{7} + 43435918 T^{8} - 118709062 T^{9} + 1623726374 T^{10} + 42180533641 T^{12} \))(\( 1 + 134 T^{2} + 578 T^{3} + 12478 T^{4} + 41946 T^{5} + 992767 T^{6} + 2474814 T^{7} + 43435918 T^{8} + 118709062 T^{9} + 1623726374 T^{10} + 42180533641 T^{12} \))(\( 1 + 8 T + 130 T^{2} + 1410 T^{3} + 18752 T^{4} + 123088 T^{5} + 1392795 T^{6} + 10270892 T^{7} + 82174905 T^{8} + 428469328 T^{9} + 3851267008 T^{10} + 17085479010 T^{11} + 92940158870 T^{12} + 337444269128 T^{13} + 2488651484819 T^{14} \))(\( 1 - 8 T + 130 T^{2} - 1410 T^{3} + 18752 T^{4} - 123088 T^{5} + 1392795 T^{6} - 10270892 T^{7} + 82174905 T^{8} - 428469328 T^{9} + 3851267008 T^{10} - 17085479010 T^{11} + 92940158870 T^{12} - 337444269128 T^{13} + 2488651484819 T^{14} \))(\( 1 - 4 T + 178 T^{2} - 152 T^{3} + 13695 T^{4} + 29440 T^{5} + 791841 T^{6} + 3067418 T^{7} + 47962712 T^{8} + 180977662 T^{9} + 2756398521 T^{10} + 6046357760 T^{11} + 165947258895 T^{12} - 108668493448 T^{13} + 7508134988098 T^{14} - 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 + 4 T + 178 T^{2} + 152 T^{3} + 13695 T^{4} - 29440 T^{5} + 791841 T^{6} - 3067418 T^{7} + 47962712 T^{8} - 180977662 T^{9} + 2756398521 T^{10} - 6046357760 T^{11} + 165947258895 T^{12} + 108668493448 T^{13} + 7508134988098 T^{14} + 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 + 10 T + 437 T^{2} + 3303 T^{3} + 84318 T^{4} + 504683 T^{5} + 9860397 T^{6} + 48393393 T^{7} + 795920121 T^{8} + 3309982211 T^{9} + 46959287139 T^{10} + 168457401033 T^{11} + 2025118475463 T^{12} + 6115426101563 T^{13} + 60280987043082 T^{14} + 139322302616223 T^{15} + 1087540698865903 T^{16} + 1468304376043210 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 24 T + 507 T^{2} - 7779 T^{3} + 107298 T^{4} - 1245671 T^{5} + 13351289 T^{6} - 126541581 T^{7} + 1117148621 T^{8} - 8876291257 T^{9} + 65911768639 T^{10} - 440491243461 T^{11} + 2742074383531 T^{12} - 15094245194231 T^{13} + 76709947434102 T^{14} - 328122371193339 T^{15} + 1261746302803233 T^{16} - 3523930502503704 T^{17} + 8662995818654939 T^{18} \))(\( 1 - 10 T + 437 T^{2} - 3303 T^{3} + 84318 T^{4} - 504683 T^{5} + 9860397 T^{6} - 48393393 T^{7} + 795920121 T^{8} - 3309982211 T^{9} + 46959287139 T^{10} - 168457401033 T^{11} + 2025118475463 T^{12} - 6115426101563 T^{13} + 60280987043082 T^{14} - 139322302616223 T^{15} + 1087540698865903 T^{16} - 1468304376043210 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 24 T + 507 T^{2} + 7779 T^{3} + 107298 T^{4} + 1245671 T^{5} + 13351289 T^{6} + 126541581 T^{7} + 1117148621 T^{8} + 8876291257 T^{9} + 65911768639 T^{10} + 440491243461 T^{11} + 2742074383531 T^{12} + 15094245194231 T^{13} + 76709947434102 T^{14} + 328122371193339 T^{15} + 1261746302803233 T^{16} + 3523930502503704 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 16 T + 642 T^{2} + 8770 T^{3} + 195911 T^{4} + 2348644 T^{5} + 38001368 T^{6} + 406247376 T^{7} + 5264518758 T^{8} + 50628670078 T^{9} + 553250441830 T^{10} + 4802813877956 T^{11} + 45617940886651 T^{12} + 357015496218586 T^{13} + 3003614058219260 T^{14} + 21063914276896574 T^{15} + 158796052226432131 T^{16} + 986397111440725324 T^{17} + 6703935327063610630 T^{18} + 36195666464816425322 T^{19} + \)\(22\!\cdots\!78\)\( T^{20} + \)\(10\!\cdots\!44\)\( T^{21} + \)\(55\!\cdots\!28\)\( T^{22} + \)\(20\!\cdots\!16\)\( T^{23} + \)\(10\!\cdots\!11\)\( T^{24} + \)\(26\!\cdots\!30\)\( T^{25} + \)\(11\!\cdots\!02\)\( T^{26} + \)\(16\!\cdots\!64\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 - 16 T + 642 T^{2} - 8770 T^{3} + 195911 T^{4} - 2348644 T^{5} + 38001368 T^{6} - 406247376 T^{7} + 5264518758 T^{8} - 50628670078 T^{9} + 553250441830 T^{10} - 4802813877956 T^{11} + 45617940886651 T^{12} - 357015496218586 T^{13} + 3003614058219260 T^{14} - 21063914276896574 T^{15} + 158796052226432131 T^{16} - 986397111440725324 T^{17} + 6703935327063610630 T^{18} - 36195666464816425322 T^{19} + \)\(22\!\cdots\!78\)\( T^{20} - \)\(10\!\cdots\!44\)\( T^{21} + \)\(55\!\cdots\!28\)\( T^{22} - \)\(20\!\cdots\!16\)\( T^{23} + \)\(10\!\cdots\!11\)\( T^{24} - \)\(26\!\cdots\!30\)\( T^{25} + \)\(11\!\cdots\!02\)\( T^{26} - \)\(16\!\cdots\!64\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 - 7 T + 447 T^{2} - 2296 T^{3} + 98204 T^{4} - 378358 T^{5} + 14581505 T^{6} - 42491999 T^{7} + 1664083746 T^{8} - 3723032214 T^{9} + 155787805558 T^{10} - 277910955570 T^{11} + 12367389898346 T^{12} - 18620998949793 T^{13} + 844342779127127 T^{14} - 1144115458090542 T^{15} + 49816223968500493 T^{16} - 64819697344229433 T^{17} + 2540002169932403134 T^{18} - 3367547374496650770 T^{19} + \)\(11\!\cdots\!42\)\( T^{20} - \)\(15\!\cdots\!74\)\( T^{21} + \)\(41\!\cdots\!74\)\( T^{22} - \)\(62\!\cdots\!79\)\( T^{23} + \)\(12\!\cdots\!95\)\( T^{24} - \)\(19\!\cdots\!58\)\( T^{25} + \)\(29\!\cdots\!36\)\( T^{26} - \)\(40\!\cdots\!76\)\( T^{27} + \)\(46\!\cdots\!13\)\( T^{28} - \)\(43\!\cdots\!27\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 + 7 T + 519 T^{2} + 3346 T^{3} + 134638 T^{4} + 801386 T^{5} + 23284769 T^{6} + 128088423 T^{7} + 3008167284 T^{8} + 15299121510 T^{9} + 307867218746 T^{10} + 1447529653166 T^{11} + 25815641411578 T^{12} + 112104633289625 T^{13} + 1807847896899607 T^{14} + 7229124484138362 T^{15} + 106663025917076813 T^{16} + 390236228481184625 T^{17} + 5301990617468478062 T^{18} + 17540239365617214926 T^{19} + \)\(22\!\cdots\!54\)\( T^{20} + \)\(64\!\cdots\!10\)\( T^{21} + \)\(74\!\cdots\!96\)\( T^{22} + \)\(18\!\cdots\!83\)\( T^{23} + \)\(20\!\cdots\!91\)\( T^{24} + \)\(40\!\cdots\!86\)\( T^{25} + \)\(40\!\cdots\!42\)\( T^{26} + \)\(59\!\cdots\!26\)\( T^{27} + \)\(54\!\cdots\!01\)\( T^{28} + \)\(43\!\cdots\!27\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 + 7 T + 447 T^{2} + 2296 T^{3} + 98204 T^{4} + 378358 T^{5} + 14581505 T^{6} + 42491999 T^{7} + 1664083746 T^{8} + 3723032214 T^{9} + 155787805558 T^{10} + 277910955570 T^{11} + 12367389898346 T^{12} + 18620998949793 T^{13} + 844342779127127 T^{14} + 1144115458090542 T^{15} + 49816223968500493 T^{16} + 64819697344229433 T^{17} + 2540002169932403134 T^{18} + 3367547374496650770 T^{19} + \)\(11\!\cdots\!42\)\( T^{20} + \)\(15\!\cdots\!74\)\( T^{21} + \)\(41\!\cdots\!74\)\( T^{22} + \)\(62\!\cdots\!79\)\( T^{23} + \)\(12\!\cdots\!95\)\( T^{24} + \)\(19\!\cdots\!58\)\( T^{25} + \)\(29\!\cdots\!36\)\( T^{26} + \)\(40\!\cdots\!76\)\( T^{27} + \)\(46\!\cdots\!13\)\( T^{28} + \)\(43\!\cdots\!27\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))(\( 1 - 7 T + 519 T^{2} - 3346 T^{3} + 134638 T^{4} - 801386 T^{5} + 23284769 T^{6} - 128088423 T^{7} + 3008167284 T^{8} - 15299121510 T^{9} + 307867218746 T^{10} - 1447529653166 T^{11} + 25815641411578 T^{12} - 112104633289625 T^{13} + 1807847896899607 T^{14} - 7229124484138362 T^{15} + 106663025917076813 T^{16} - 390236228481184625 T^{17} + 5301990617468478062 T^{18} - 17540239365617214926 T^{19} + \)\(22\!\cdots\!54\)\( T^{20} - \)\(64\!\cdots\!10\)\( T^{21} + \)\(74\!\cdots\!96\)\( T^{22} - \)\(18\!\cdots\!83\)\( T^{23} + \)\(20\!\cdots\!91\)\( T^{24} - \)\(40\!\cdots\!86\)\( T^{25} + \)\(40\!\cdots\!42\)\( T^{26} - \)\(59\!\cdots\!26\)\( T^{27} + \)\(54\!\cdots\!01\)\( T^{28} - \)\(43\!\cdots\!27\)\( T^{29} + \)\(36\!\cdots\!99\)\( T^{30} \))
$61$ (\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 10 T + 95 T^{2} + 444 T^{3} + 5795 T^{4} + 37210 T^{5} + 226981 T^{6} \))(\( 1 - 13 T + 195 T^{2} - 1363 T^{3} + 11895 T^{4} - 48373 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 154 T^{2} - 161 T^{3} + 9394 T^{4} - 7442 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1027 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 263 T^{2} + 2220 T^{3} + 16043 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 170 T^{2} - 227 T^{3} + 10370 T^{4} - 7442 T^{5} + 226981 T^{6} \))(\( 1 + 12 T + 203 T^{2} + 1472 T^{3} + 12383 T^{4} + 44652 T^{5} + 226981 T^{6} \))(\( 1 - 13 T + 195 T^{2} - 1363 T^{3} + 11895 T^{4} - 48373 T^{5} + 226981 T^{6} \))(\( 1 - 24 T + 363 T^{2} - 3352 T^{3} + 22143 T^{4} - 89304 T^{5} + 226981 T^{6} \))(\( 1 + 10 T + 95 T^{2} + 444 T^{3} + 5795 T^{4} + 37210 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 154 T^{2} - 161 T^{3} + 9394 T^{4} - 7442 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1027 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 + 4 T + 163 T^{2} + 496 T^{3} + 9943 T^{4} + 14884 T^{5} + 226981 T^{6} \))(\( 1 - 2 T + 170 T^{2} - 227 T^{3} + 10370 T^{4} - 7442 T^{5} + 226981 T^{6} \))(\( 1 + 18 T + 263 T^{2} + 2220 T^{3} + 16043 T^{4} + 66978 T^{5} + 226981 T^{6} \))(\( 1 + 15 T + 277 T^{2} + 2575 T^{3} + 26425 T^{4} + 157075 T^{5} + 1030717 T^{6} + 3404715 T^{7} + 13845841 T^{8} \))(\( 1 - 10 T + 192 T^{2} - 1254 T^{3} + 15294 T^{4} - 76494 T^{5} + 714432 T^{6} - 2269810 T^{7} + 13845841 T^{8} \))(\( 1 + 15 T + 277 T^{2} + 2575 T^{3} + 26425 T^{4} + 157075 T^{5} + 1030717 T^{6} + 3404715 T^{7} + 13845841 T^{8} \))(\( 1 - 6 T + 131 T^{2} - 87 T^{3} + 10769 T^{4} - 25075 T^{5} + 977014 T^{6} - 1529575 T^{7} + 40071449 T^{8} - 19747347 T^{9} + 1813805171 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T + 131 T^{2} - 87 T^{3} + 10769 T^{4} - 25075 T^{5} + 977014 T^{6} - 1529575 T^{7} + 40071449 T^{8} - 19747347 T^{9} + 1813805171 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T + 251 T^{2} + 1852 T^{3} + 30109 T^{4} + 261034 T^{5} + 2389407 T^{6} + 20729096 T^{7} + 145753827 T^{8} + 971307514 T^{9} + 6834170929 T^{10} + 25642497532 T^{11} + 211993671551 T^{12} + 309122246166 T^{13} + 3142742836021 T^{14} \))(\( 1 + 6 T + 251 T^{2} + 1852 T^{3} + 30109 T^{4} + 261034 T^{5} + 2389407 T^{6} + 20729096 T^{7} + 145753827 T^{8} + 971307514 T^{9} + 6834170929 T^{10} + 25642497532 T^{11} + 211993671551 T^{12} + 309122246166 T^{13} + 3142742836021 T^{14} \))(\( 1 + 26 T + 535 T^{2} + 7784 T^{3} + 92491 T^{4} + 924640 T^{5} + 8144949 T^{6} + 65618002 T^{7} + 520528261 T^{8} + 4002698122 T^{9} + 30307355229 T^{10} + 209875711840 T^{11} + 1280615679931 T^{12} + 6574337606984 T^{13} + 27563400283135 T^{14} + 81711313736546 T^{15} + 191707312997281 T^{16} \))(\( 1 + 26 T + 535 T^{2} + 7784 T^{3} + 92491 T^{4} + 924640 T^{5} + 8144949 T^{6} + 65618002 T^{7} + 520528261 T^{8} + 4002698122 T^{9} + 30307355229 T^{10} + 209875711840 T^{11} + 1280615679931 T^{12} + 6574337606984 T^{13} + 27563400283135 T^{14} + 81711313736546 T^{15} + 191707312997281 T^{16} \))(\( 1 - 32 T + 714 T^{2} - 11175 T^{3} + 145071 T^{4} - 1547115 T^{5} + 14600924 T^{6} - 122250303 T^{7} + 979184361 T^{8} - 7584870765 T^{9} + 59730246021 T^{10} - 454893377463 T^{11} + 3314132330444 T^{12} - 21421108298715 T^{13} + 122526429982371 T^{14} - 575740183484175 T^{15} + 2243918384918994 T^{16} - 6134634015912992 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 6 T + 390 T^{2} - 2389 T^{3} + 71089 T^{4} - 429695 T^{5} + 8121372 T^{6} - 46740711 T^{7} + 658559563 T^{8} - 3422965169 T^{9} + 40172133343 T^{10} - 173922185631 T^{11} + 1843397137932 T^{12} - 5949488648495 T^{13} + 60041506441789 T^{14} - 123082174348429 T^{15} + 1225669706048190 T^{16} - 1150243877983686 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 32 T + 714 T^{2} - 11175 T^{3} + 145071 T^{4} - 1547115 T^{5} + 14600924 T^{6} - 122250303 T^{7} + 979184361 T^{8} - 7584870765 T^{9} + 59730246021 T^{10} - 454893377463 T^{11} + 3314132330444 T^{12} - 21421108298715 T^{13} + 122526429982371 T^{14} - 575740183484175 T^{15} + 2243918384918994 T^{16} - 6134634015912992 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 6 T + 390 T^{2} - 2389 T^{3} + 71089 T^{4} - 429695 T^{5} + 8121372 T^{6} - 46740711 T^{7} + 658559563 T^{8} - 3422965169 T^{9} + 40172133343 T^{10} - 173922185631 T^{11} + 1843397137932 T^{12} - 5949488648495 T^{13} + 60041506441789 T^{14} - 123082174348429 T^{15} + 1225669706048190 T^{16} - 1150243877983686 T^{17} + 11694146092834141 T^{18} \))(\( 1 - 30 T + 769 T^{2} - 13588 T^{3} + 216816 T^{4} - 2877954 T^{5} + 35509244 T^{6} - 388094162 T^{7} + 4017335991 T^{8} - 38016531312 T^{9} + 346609016089 T^{10} - 2956962910022 T^{11} + 24766537955720 T^{12} - 197913023858548 T^{13} + 1575766262984660 T^{14} - 12072694455371428 T^{15} + 92156287733234120 T^{16} - 671174398279703582 T^{17} + 4799093325934735849 T^{18} - 32108621722965876912 T^{19} + \)\(20\!\cdots\!51\)\( T^{20} - \)\(12\!\cdots\!02\)\( T^{21} + \)\(68\!\cdots\!64\)\( T^{22} - \)\(33\!\cdots\!14\)\( T^{23} + \)\(15\!\cdots\!16\)\( T^{24} - \)\(59\!\cdots\!68\)\( T^{25} + \)\(20\!\cdots\!49\)\( T^{26} - \)\(48\!\cdots\!30\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 30 T + 769 T^{2} - 13588 T^{3} + 216816 T^{4} - 2877954 T^{5} + 35509244 T^{6} - 388094162 T^{7} + 4017335991 T^{8} - 38016531312 T^{9} + 346609016089 T^{10} - 2956962910022 T^{11} + 24766537955720 T^{12} - 197913023858548 T^{13} + 1575766262984660 T^{14} - 12072694455371428 T^{15} + 92156287733234120 T^{16} - 671174398279703582 T^{17} + 4799093325934735849 T^{18} - 32108621722965876912 T^{19} + \)\(20\!\cdots\!51\)\( T^{20} - \)\(12\!\cdots\!02\)\( T^{21} + \)\(68\!\cdots\!64\)\( T^{22} - \)\(33\!\cdots\!14\)\( T^{23} + \)\(15\!\cdots\!16\)\( T^{24} - \)\(59\!\cdots\!68\)\( T^{25} + \)\(20\!\cdots\!49\)\( T^{26} - \)\(48\!\cdots\!30\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 + 2 T + 259 T^{2} + 403 T^{3} + 43186 T^{4} + 71816 T^{5} + 5540352 T^{6} + 9986317 T^{7} + 582663335 T^{8} + 1055619776 T^{9} + 52244062858 T^{10} + 95749589845 T^{11} + 4101918860010 T^{12} + 7273395441016 T^{13} + 282504920327780 T^{14} + 474672726877519 T^{15} + 17232800139994580 T^{16} + 27064304436020536 T^{17} + 931057644763929810 T^{18} + 1325733596809084645 T^{19} + 44125142239078288258 T^{20} + 54385926042394963136 T^{21} + \)\(18\!\cdots\!35\)\( T^{22} + \)\(19\!\cdots\!77\)\( T^{23} + \)\(64\!\cdots\!32\)\( T^{24} + \)\(51\!\cdots\!16\)\( T^{25} + \)\(18\!\cdots\!46\)\( T^{26} + \)\(10\!\cdots\!63\)\( T^{27} + \)\(41\!\cdots\!79\)\( T^{28} + \)\(19\!\cdots\!82\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 + 22 T + 699 T^{2} + 10673 T^{3} + 198206 T^{4} + 2318768 T^{5} + 32129352 T^{6} + 301303981 T^{7} + 3435122813 T^{8} + 26212455436 T^{9} + 262169922106 T^{10} + 1617444410031 T^{11} + 15369193901206 T^{12} + 77409821787116 T^{13} + 809540508861374 T^{14} + 3918194513022901 T^{15} + 49381971040543814 T^{16} + 288041946869858636 T^{17} + 3488515000889639086 T^{18} + 22394878127628031071 T^{19} + \)\(22\!\cdots\!06\)\( T^{20} + \)\(13\!\cdots\!96\)\( T^{21} + \)\(10\!\cdots\!73\)\( T^{22} + \)\(57\!\cdots\!61\)\( T^{23} + \)\(37\!\cdots\!32\)\( T^{24} + \)\(16\!\cdots\!68\)\( T^{25} + \)\(86\!\cdots\!66\)\( T^{26} + \)\(28\!\cdots\!33\)\( T^{27} + \)\(11\!\cdots\!19\)\( T^{28} + \)\(21\!\cdots\!02\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 + 2 T + 259 T^{2} + 403 T^{3} + 43186 T^{4} + 71816 T^{5} + 5540352 T^{6} + 9986317 T^{7} + 582663335 T^{8} + 1055619776 T^{9} + 52244062858 T^{10} + 95749589845 T^{11} + 4101918860010 T^{12} + 7273395441016 T^{13} + 282504920327780 T^{14} + 474672726877519 T^{15} + 17232800139994580 T^{16} + 27064304436020536 T^{17} + 931057644763929810 T^{18} + 1325733596809084645 T^{19} + 44125142239078288258 T^{20} + 54385926042394963136 T^{21} + \)\(18\!\cdots\!35\)\( T^{22} + \)\(19\!\cdots\!77\)\( T^{23} + \)\(64\!\cdots\!32\)\( T^{24} + \)\(51\!\cdots\!16\)\( T^{25} + \)\(18\!\cdots\!46\)\( T^{26} + \)\(10\!\cdots\!63\)\( T^{27} + \)\(41\!\cdots\!79\)\( T^{28} + \)\(19\!\cdots\!82\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))(\( 1 + 22 T + 699 T^{2} + 10673 T^{3} + 198206 T^{4} + 2318768 T^{5} + 32129352 T^{6} + 301303981 T^{7} + 3435122813 T^{8} + 26212455436 T^{9} + 262169922106 T^{10} + 1617444410031 T^{11} + 15369193901206 T^{12} + 77409821787116 T^{13} + 809540508861374 T^{14} + 3918194513022901 T^{15} + 49381971040543814 T^{16} + 288041946869858636 T^{17} + 3488515000889639086 T^{18} + 22394878127628031071 T^{19} + \)\(22\!\cdots\!06\)\( T^{20} + \)\(13\!\cdots\!96\)\( T^{21} + \)\(10\!\cdots\!73\)\( T^{22} + \)\(57\!\cdots\!61\)\( T^{23} + \)\(37\!\cdots\!32\)\( T^{24} + \)\(16\!\cdots\!68\)\( T^{25} + \)\(86\!\cdots\!66\)\( T^{26} + \)\(28\!\cdots\!33\)\( T^{27} + \)\(11\!\cdots\!19\)\( T^{28} + \)\(21\!\cdots\!02\)\( T^{29} + \)\(60\!\cdots\!01\)\( T^{30} \))
$67$ (\( 1 + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 8 T + 157 T^{2} - 1064 T^{3} + 10519 T^{4} - 35912 T^{5} + 300763 T^{6} \))(\( 1 - 7 T + 117 T^{2} - 637 T^{3} + 7839 T^{4} - 31423 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 161 T^{2} + 812 T^{3} + 10787 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 9 T + 207 T^{2} + 1177 T^{3} + 13869 T^{4} + 40401 T^{5} + 300763 T^{6} \))(\( 1 - 2 T + 188 T^{2} - 251 T^{3} + 12596 T^{4} - 8978 T^{5} + 300763 T^{6} \))(\( 1 + 18 T + 281 T^{2} + 2436 T^{3} + 18827 T^{4} + 80802 T^{5} + 300763 T^{6} \))(\( 1 + 16 T + 249 T^{2} + 2080 T^{3} + 16683 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 + 7 T + 117 T^{2} + 637 T^{3} + 7839 T^{4} + 31423 T^{5} + 300763 T^{6} \))(\( 1 + 9 T^{2} - 512 T^{3} + 603 T^{4} + 300763 T^{6} \))(\( 1 + 8 T + 157 T^{2} + 1064 T^{3} + 10519 T^{4} + 35912 T^{5} + 300763 T^{6} \))(\( 1 - 6 T + 161 T^{2} - 812 T^{3} + 10787 T^{4} - 26934 T^{5} + 300763 T^{6} \))(\( 1 - 9 T + 207 T^{2} - 1177 T^{3} + 13869 T^{4} - 40401 T^{5} + 300763 T^{6} \))(\( 1 + 16 T + 185 T^{2} + 1440 T^{3} + 12395 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 - 18 T + 281 T^{2} - 2436 T^{3} + 18827 T^{4} - 80802 T^{5} + 300763 T^{6} \))(\( 1 + 2 T + 188 T^{2} + 251 T^{3} + 12596 T^{4} + 8978 T^{5} + 300763 T^{6} \))(\( 1 + 104 T^{2} + 952 T^{3} + 3790 T^{4} + 63784 T^{5} + 466856 T^{6} + 20151121 T^{8} \))(\( 1 - 16 T + 252 T^{2} - 2640 T^{3} + 25814 T^{4} - 176880 T^{5} + 1131228 T^{6} - 4812208 T^{7} + 20151121 T^{8} \))(\( 1 + 104 T^{2} - 952 T^{3} + 3790 T^{4} - 63784 T^{5} + 466856 T^{6} + 20151121 T^{8} \))(\( 1 - 32 T + 645 T^{2} - 9089 T^{3} + 107061 T^{4} - 1058297 T^{5} + 9329378 T^{6} - 70905899 T^{7} + 480596829 T^{8} - 2733634907 T^{9} + 12997473045 T^{10} - 43204003424 T^{11} + 90458382169 T^{12} \))(\( 1 + 32 T + 645 T^{2} + 9089 T^{3} + 107061 T^{4} + 1058297 T^{5} + 9329378 T^{6} + 70905899 T^{7} + 480596829 T^{8} + 2733634907 T^{9} + 12997473045 T^{10} + 43204003424 T^{11} + 90458382169 T^{12} \))(\( 1 + 28 T + 654 T^{2} + 10010 T^{3} + 139320 T^{4} + 1535116 T^{5} + 15747535 T^{6} + 133527196 T^{7} + 1055084845 T^{8} + 6891135724 T^{9} + 41902301160 T^{10} + 201712721210 T^{11} + 882981819978 T^{12} + 2532834700732 T^{13} + 6060711605323 T^{14} \))(\( 1 - 28 T + 654 T^{2} - 10010 T^{3} + 139320 T^{4} - 1535116 T^{5} + 15747535 T^{6} - 133527196 T^{7} + 1055084845 T^{8} - 6891135724 T^{9} + 41902301160 T^{10} - 201712721210 T^{11} + 882981819978 T^{12} - 2532834700732 T^{13} + 6060711605323 T^{14} \))(\( 1 + 10 T + 334 T^{2} + 2730 T^{3} + 53880 T^{4} + 369354 T^{5} + 5659554 T^{6} + 33594778 T^{7} + 435057454 T^{8} + 2250850126 T^{9} + 25405737906 T^{10} + 111088017102 T^{11} + 1085742399480 T^{12} + 3685841542110 T^{13} + 30213099644446 T^{14} + 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 - 10 T + 334 T^{2} - 2730 T^{3} + 53880 T^{4} - 369354 T^{5} + 5659554 T^{6} - 33594778 T^{7} + 435057454 T^{8} - 2250850126 T^{9} + 25405737906 T^{10} - 111088017102 T^{11} + 1085742399480 T^{12} - 3685841542110 T^{13} + 30213099644446 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 - 73 T + 2902 T^{2} - 80000 T^{3} + 1690169 T^{4} - 28780040 T^{5} + 407075371 T^{6} - 4871057891 T^{7} + 49872487909 T^{8} - 439549952007 T^{9} + 3341456689903 T^{10} - 21866178872699 T^{11} + 122433209808073 T^{12} - 579950068424840 T^{13} + 2281939601973083 T^{14} - 7236670573520000 T^{15} + 17588185078647346 T^{16} - 29642940461634793 T^{17} + 27206534396294947 T^{18} \))(\( 1 - 29 T + 780 T^{2} - 14004 T^{3} + 227131 T^{4} - 3006472 T^{5} + 36316287 T^{6} - 380057017 T^{7} + 3662151343 T^{8} - 31189767747 T^{9} + 245364139981 T^{10} - 1706075949313 T^{11} + 10922595426981 T^{12} - 60583781055112 T^{13} + 306655265678017 T^{14} - 1266779183894676 T^{15} + 4727355052151940 T^{16} - 11775962649142589 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 73 T + 2902 T^{2} + 80000 T^{3} + 1690169 T^{4} + 28780040 T^{5} + 407075371 T^{6} + 4871057891 T^{7} + 49872487909 T^{8} + 439549952007 T^{9} + 3341456689903 T^{10} + 21866178872699 T^{11} + 122433209808073 T^{12} + 579950068424840 T^{13} + 2281939601973083 T^{14} + 7236670573520000 T^{15} + 17588185078647346 T^{16} + 29642940461634793 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 29 T + 780 T^{2} + 14004 T^{3} + 227131 T^{4} + 3006472 T^{5} + 36316287 T^{6} + 380057017 T^{7} + 3662151343 T^{8} + 31189767747 T^{9} + 245364139981 T^{10} + 1706075949313 T^{11} + 10922595426981 T^{12} + 60583781055112 T^{13} + 306655265678017 T^{14} + 1266779183894676 T^{15} + 4727355052151940 T^{16} + 11775962649142589 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 2 T + 622 T^{2} + 868 T^{3} + 189772 T^{4} + 172970 T^{5} + 37785149 T^{6} + 20206792 T^{7} + 5502461396 T^{8} + 1431417506 T^{9} + 621728042986 T^{10} + 52778209336 T^{11} + 56345047161479 T^{12} + 193132191270 T^{13} + 4167432376226486 T^{14} + 12939856815090 T^{15} + 252932916707879231 T^{16} + 15873732574523368 T^{17} + 12528517023304087306 T^{18} + 1932592713449923142 T^{19} + \)\(49\!\cdots\!24\)\( T^{20} + \)\(12\!\cdots\!16\)\( T^{21} + \)\(15\!\cdots\!09\)\( T^{22} + \)\(47\!\cdots\!90\)\( T^{23} + \)\(34\!\cdots\!28\)\( T^{24} + \)\(10\!\cdots\!44\)\( T^{25} + \)\(50\!\cdots\!42\)\( T^{26} + \)\(10\!\cdots\!74\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 2 T + 622 T^{2} - 868 T^{3} + 189772 T^{4} - 172970 T^{5} + 37785149 T^{6} - 20206792 T^{7} + 5502461396 T^{8} - 1431417506 T^{9} + 621728042986 T^{10} - 52778209336 T^{11} + 56345047161479 T^{12} - 193132191270 T^{13} + 4167432376226486 T^{14} - 12939856815090 T^{15} + 252932916707879231 T^{16} - 15873732574523368 T^{17} + 12528517023304087306 T^{18} - 1932592713449923142 T^{19} + \)\(49\!\cdots\!24\)\( T^{20} - \)\(12\!\cdots\!16\)\( T^{21} + \)\(15\!\cdots\!09\)\( T^{22} - \)\(47\!\cdots\!90\)\( T^{23} + \)\(34\!\cdots\!28\)\( T^{24} - \)\(10\!\cdots\!44\)\( T^{25} + \)\(50\!\cdots\!42\)\( T^{26} - \)\(10\!\cdots\!74\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 + 34 T + 1159 T^{2} + 24690 T^{3} + 504872 T^{4} + 8120737 T^{5} + 125782298 T^{6} + 1666068181 T^{7} + 21406304121 T^{8} + 244981781648 T^{9} + 2732749807773 T^{10} + 27744604436256 T^{11} + 275221471009439 T^{12} + 2513790032921631 T^{13} + 22464669105445019 T^{14} + 185846766986356838 T^{15} + 1505132830064816273 T^{16} + 11284403457785201559 T^{17} + 82776435285211901957 T^{18} + \)\(55\!\cdots\!76\)\( T^{19} + \)\(36\!\cdots\!11\)\( T^{20} + \)\(22\!\cdots\!12\)\( T^{21} + \)\(12\!\cdots\!83\)\( T^{22} + \)\(67\!\cdots\!21\)\( T^{23} + \)\(34\!\cdots\!06\)\( T^{24} + \)\(14\!\cdots\!13\)\( T^{25} + \)\(61\!\cdots\!76\)\( T^{26} + \)\(20\!\cdots\!90\)\( T^{27} + \)\(63\!\cdots\!33\)\( T^{28} + \)\(12\!\cdots\!86\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 + 58 T + 2039 T^{2} + 51692 T^{3} + 1056280 T^{4} + 18221645 T^{5} + 276126700 T^{6} + 3760979997 T^{7} + 47001571571 T^{8} + 545547261886 T^{9} + 5942546754065 T^{10} + 61066937584374 T^{11} + 594792020721797 T^{12} + 5501483723438385 T^{13} + 48435249182502629 T^{14} + 406083543830977950 T^{15} + 3245161695227676143 T^{16} + 24696160434514910265 T^{17} + \)\(17\!\cdots\!11\)\( T^{18} + \)\(12\!\cdots\!54\)\( T^{19} + \)\(80\!\cdots\!55\)\( T^{20} + \)\(49\!\cdots\!34\)\( T^{21} + \)\(28\!\cdots\!33\)\( T^{22} + \)\(15\!\cdots\!77\)\( T^{23} + \)\(75\!\cdots\!00\)\( T^{24} + \)\(33\!\cdots\!05\)\( T^{25} + \)\(12\!\cdots\!40\)\( T^{26} + \)\(42\!\cdots\!12\)\( T^{27} + \)\(11\!\cdots\!93\)\( T^{28} + \)\(21\!\cdots\!82\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 - 34 T + 1159 T^{2} - 24690 T^{3} + 504872 T^{4} - 8120737 T^{5} + 125782298 T^{6} - 1666068181 T^{7} + 21406304121 T^{8} - 244981781648 T^{9} + 2732749807773 T^{10} - 27744604436256 T^{11} + 275221471009439 T^{12} - 2513790032921631 T^{13} + 22464669105445019 T^{14} - 185846766986356838 T^{15} + 1505132830064816273 T^{16} - 11284403457785201559 T^{17} + 82776435285211901957 T^{18} - \)\(55\!\cdots\!76\)\( T^{19} + \)\(36\!\cdots\!11\)\( T^{20} - \)\(22\!\cdots\!12\)\( T^{21} + \)\(12\!\cdots\!83\)\( T^{22} - \)\(67\!\cdots\!21\)\( T^{23} + \)\(34\!\cdots\!06\)\( T^{24} - \)\(14\!\cdots\!13\)\( T^{25} + \)\(61\!\cdots\!76\)\( T^{26} - \)\(20\!\cdots\!90\)\( T^{27} + \)\(63\!\cdots\!33\)\( T^{28} - \)\(12\!\cdots\!86\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))(\( 1 - 58 T + 2039 T^{2} - 51692 T^{3} + 1056280 T^{4} - 18221645 T^{5} + 276126700 T^{6} - 3760979997 T^{7} + 47001571571 T^{8} - 545547261886 T^{9} + 5942546754065 T^{10} - 61066937584374 T^{11} + 594792020721797 T^{12} - 5501483723438385 T^{13} + 48435249182502629 T^{14} - 406083543830977950 T^{15} + 3245161695227676143 T^{16} - 24696160434514910265 T^{17} + \)\(17\!\cdots\!11\)\( T^{18} - \)\(12\!\cdots\!54\)\( T^{19} + \)\(80\!\cdots\!55\)\( T^{20} - \)\(49\!\cdots\!34\)\( T^{21} + \)\(28\!\cdots\!33\)\( T^{22} - \)\(15\!\cdots\!77\)\( T^{23} + \)\(75\!\cdots\!00\)\( T^{24} - \)\(33\!\cdots\!05\)\( T^{25} + \)\(12\!\cdots\!40\)\( T^{26} - \)\(42\!\cdots\!12\)\( T^{27} + \)\(11\!\cdots\!93\)\( T^{28} - \)\(21\!\cdots\!82\)\( T^{29} + \)\(24\!\cdots\!43\)\( T^{30} \))
$71$ (\( 1 + 5 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 5 T + 71 T^{2} \))(\( 1 + 3 T + 153 T^{2} + 175 T^{3} + 10863 T^{4} + 15123 T^{5} + 357911 T^{6} \))(\( 1 + 15 T + 197 T^{2} + 2087 T^{3} + 13987 T^{4} + 75615 T^{5} + 357911 T^{6} \))(\( ( 1 - 3 T + 71 T^{2} )^{3} \))(\( 1 + 17 T + 293 T^{2} + 2527 T^{3} + 20803 T^{4} + 85697 T^{5} + 357911 T^{6} \))(\( 1 - 22 T + 309 T^{2} - 2908 T^{3} + 21939 T^{4} - 110902 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 204 T^{2} + 1513 T^{3} + 14484 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 - 3 T + 125 T^{2} - 49 T^{3} + 8875 T^{4} - 15123 T^{5} + 357911 T^{6} \))(\( 1 - 15 T + 197 T^{2} - 2087 T^{3} + 13987 T^{4} - 75615 T^{5} + 357911 T^{6} \))(\( 1 - 9 T + 69 T^{2} - 135 T^{3} + 4899 T^{4} - 45369 T^{5} + 357911 T^{6} \))(\( 1 - 3 T + 153 T^{2} - 175 T^{3} + 10863 T^{4} - 15123 T^{5} + 357911 T^{6} \))(\( ( 1 + 3 T + 71 T^{2} )^{3} \))(\( 1 - 17 T + 293 T^{2} - 2527 T^{3} + 20803 T^{4} - 85697 T^{5} + 357911 T^{6} \))(\( 1 - T + 93 T^{2} + 321 T^{3} + 6603 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 - 13 T + 204 T^{2} - 1513 T^{3} + 14484 T^{4} - 65533 T^{5} + 357911 T^{6} \))(\( 1 + 22 T + 309 T^{2} + 2908 T^{3} + 21939 T^{4} + 110902 T^{5} + 357911 T^{6} \))(\( 1 + T + 149 T^{2} + 332 T^{3} + 11898 T^{4} + 23572 T^{5} + 751109 T^{6} + 357911 T^{7} + 25411681 T^{8} \))(\( 1 - 6 T + 149 T^{2} - 1629 T^{3} + 10833 T^{4} - 115659 T^{5} + 751109 T^{6} - 2147466 T^{7} + 25411681 T^{8} \))(\( 1 - T + 149 T^{2} - 332 T^{3} + 11898 T^{4} - 23572 T^{5} + 751109 T^{6} - 357911 T^{7} + 25411681 T^{8} \))(\( 1 + 39 T + 959 T^{2} + 16342 T^{3} + 221869 T^{4} + 2428363 T^{5} + 22436510 T^{6} + 172413773 T^{7} + 1118441629 T^{8} + 5848981562 T^{9} + 24369802079 T^{10} + 70364944689 T^{11} + 128100283921 T^{12} \))(\( 1 - 39 T + 959 T^{2} - 16342 T^{3} + 221869 T^{4} - 2428363 T^{5} + 22436510 T^{6} - 172413773 T^{7} + 1118441629 T^{8} - 5848981562 T^{9} + 24369802079 T^{10} - 70364944689 T^{11} + 128100283921 T^{12} \))(\( 1 + 4 T + 292 T^{2} - 391 T^{3} + 27987 T^{4} - 279772 T^{5} + 1177472 T^{6} - 32843490 T^{7} + 83600512 T^{8} - 1410330652 T^{9} + 10016855157 T^{10} - 9935967271 T^{11} + 526834970492 T^{12} + 512401135684 T^{13} + 9095120158391 T^{14} \))(\( 1 - 4 T + 292 T^{2} + 391 T^{3} + 27987 T^{4} + 279772 T^{5} + 1177472 T^{6} + 32843490 T^{7} + 83600512 T^{8} + 1410330652 T^{9} + 10016855157 T^{10} + 9935967271 T^{11} + 526834970492 T^{12} - 512401135684 T^{13} + 9095120158391 T^{14} \))(\( 1 - 36 T + 925 T^{2} - 17158 T^{3} + 263911 T^{4} - 3419374 T^{5} + 38711114 T^{6} - 386904034 T^{7} + 3448285040 T^{8} - 27470186414 T^{9} + 195142725674 T^{10} - 1223831567714 T^{11} + 6706422144391 T^{12} - 30956967204458 T^{13} + 118492762626925 T^{14} - 327424325702076 T^{15} + 645753531245761 T^{16} \))(\( 1 + 36 T + 925 T^{2} + 17158 T^{3} + 263911 T^{4} + 3419374 T^{5} + 38711114 T^{6} + 386904034 T^{7} + 3448285040 T^{8} + 27470186414 T^{9} + 195142725674 T^{10} + 1223831567714 T^{11} + 6706422144391 T^{12} + 30956967204458 T^{13} + 118492762626925 T^{14} + 327424325702076 T^{15} + 645753531245761 T^{16} \))(\( 1 - 51 T + 1426 T^{2} - 26665 T^{3} + 359184 T^{4} - 3437597 T^{5} + 20264179 T^{6} - 1963657 T^{7} - 1482129355 T^{8} + 17932294083 T^{9} - 105231184205 T^{10} - 9898794937 T^{11} + 7252772570069 T^{12} - 87355118370557 T^{13} + 648050315209584 T^{14} - 3415794070753465 T^{15} + 12969641345865566 T^{16} - 32933430093533811 T^{17} + 45848500718449031 T^{18} \))(\( 1 - 23 T + 542 T^{2} - 7821 T^{3} + 112554 T^{4} - 1245937 T^{5} + 13952393 T^{6} - 130633427 T^{7} + 1255589337 T^{8} - 10422863517 T^{9} + 89146842927 T^{10} - 658523105507 T^{11} + 4993714931023 T^{12} - 31661353590097 T^{13} + 203073230372454 T^{14} - 1001872320546141 T^{15} + 4929555125847922 T^{16} - 14852331218652503 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 51 T + 1426 T^{2} + 26665 T^{3} + 359184 T^{4} + 3437597 T^{5} + 20264179 T^{6} + 1963657 T^{7} - 1482129355 T^{8} - 17932294083 T^{9} - 105231184205 T^{10} + 9898794937 T^{11} + 7252772570069 T^{12} + 87355118370557 T^{13} + 648050315209584 T^{14} + 3415794070753465 T^{15} + 12969641345865566 T^{16} + 32933430093533811 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 23 T + 542 T^{2} + 7821 T^{3} + 112554 T^{4} + 1245937 T^{5} + 13952393 T^{6} + 130633427 T^{7} + 1255589337 T^{8} + 10422863517 T^{9} + 89146842927 T^{10} + 658523105507 T^{11} + 4993714931023 T^{12} + 31661353590097 T^{13} + 203073230372454 T^{14} + 1001872320546141 T^{15} + 4929555125847922 T^{16} + 14852331218652503 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 44 T + 1527 T^{2} + 37854 T^{3} + 808892 T^{4} + 14637902 T^{5} + 237835767 T^{6} + 3458972888 T^{7} + 46168999184 T^{8} + 565651683512 T^{9} + 6440396707825 T^{10} + 68179687846142 T^{11} + 675450791600291 T^{12} + 6261311413432994 T^{13} + 54488939020525122 T^{14} + 444553110353742574 T^{15} + 3404947440457066931 T^{16} + 24402260256700529362 T^{17} + \)\(16\!\cdots\!25\)\( T^{18} + \)\(10\!\cdots\!12\)\( T^{19} + \)\(59\!\cdots\!64\)\( T^{20} + \)\(31\!\cdots\!08\)\( T^{21} + \)\(15\!\cdots\!87\)\( T^{22} + \)\(67\!\cdots\!62\)\( T^{23} + \)\(26\!\cdots\!92\)\( T^{24} + \)\(87\!\cdots\!34\)\( T^{25} + \)\(25\!\cdots\!07\)\( T^{26} + \)\(51\!\cdots\!84\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 - 44 T + 1527 T^{2} - 37854 T^{3} + 808892 T^{4} - 14637902 T^{5} + 237835767 T^{6} - 3458972888 T^{7} + 46168999184 T^{8} - 565651683512 T^{9} + 6440396707825 T^{10} - 68179687846142 T^{11} + 675450791600291 T^{12} - 6261311413432994 T^{13} + 54488939020525122 T^{14} - 444553110353742574 T^{15} + 3404947440457066931 T^{16} - 24402260256700529362 T^{17} + \)\(16\!\cdots\!25\)\( T^{18} - \)\(10\!\cdots\!12\)\( T^{19} + \)\(59\!\cdots\!64\)\( T^{20} - \)\(31\!\cdots\!08\)\( T^{21} + \)\(15\!\cdots\!87\)\( T^{22} - \)\(67\!\cdots\!62\)\( T^{23} + \)\(26\!\cdots\!92\)\( T^{24} - \)\(87\!\cdots\!34\)\( T^{25} + \)\(25\!\cdots\!07\)\( T^{26} - \)\(51\!\cdots\!84\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 4 T + 659 T^{2} + 2343 T^{3} + 207782 T^{4} + 638919 T^{5} + 42022433 T^{6} + 107613694 T^{7} + 6182856201 T^{8} + 12597402568 T^{9} + 713364267231 T^{10} + 1112325063444 T^{11} + 67963417859747 T^{12} + 81804708293703 T^{13} + 5538244883996828 T^{14} + 5728011391951090 T^{15} + 393215386763774788 T^{16} + 412377534508556823 T^{17} + 24324854849599908517 T^{18} + 28266049680543689364 T^{19} + \)\(12\!\cdots\!81\)\( T^{20} + \)\(16\!\cdots\!28\)\( T^{21} + \)\(56\!\cdots\!91\)\( T^{22} + \)\(69\!\cdots\!34\)\( T^{23} + \)\(19\!\cdots\!23\)\( T^{24} + \)\(20\!\cdots\!19\)\( T^{25} + \)\(48\!\cdots\!22\)\( T^{26} + \)\(38\!\cdots\!63\)\( T^{27} + \)\(76\!\cdots\!49\)\( T^{28} + \)\(33\!\cdots\!24\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 + 2 T + 385 T^{2} + 1825 T^{3} + 76960 T^{4} + 525077 T^{5} + 11377299 T^{6} + 88020408 T^{7} + 1401416253 T^{8} + 10812122284 T^{9} + 147526147967 T^{10} + 1093708756390 T^{11} + 13376964983211 T^{12} + 95798481608479 T^{13} + 1062954541193074 T^{14} + 7307094322171462 T^{15} + 75469772424708254 T^{16} + 482920145788342639 T^{17} + 4787762914106032221 T^{18} + 27792978024289391590 T^{19} + \)\(26\!\cdots\!17\)\( T^{20} + \)\(13\!\cdots\!64\)\( T^{21} + \)\(12\!\cdots\!23\)\( T^{22} + \)\(56\!\cdots\!88\)\( T^{23} + \)\(52\!\cdots\!69\)\( T^{24} + \)\(17\!\cdots\!77\)\( T^{25} + \)\(17\!\cdots\!60\)\( T^{26} + \)\(29\!\cdots\!25\)\( T^{27} + \)\(44\!\cdots\!35\)\( T^{28} + \)\(16\!\cdots\!62\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 - 4 T + 659 T^{2} - 2343 T^{3} + 207782 T^{4} - 638919 T^{5} + 42022433 T^{6} - 107613694 T^{7} + 6182856201 T^{8} - 12597402568 T^{9} + 713364267231 T^{10} - 1112325063444 T^{11} + 67963417859747 T^{12} - 81804708293703 T^{13} + 5538244883996828 T^{14} - 5728011391951090 T^{15} + 393215386763774788 T^{16} - 412377534508556823 T^{17} + 24324854849599908517 T^{18} - 28266049680543689364 T^{19} + \)\(12\!\cdots\!81\)\( T^{20} - \)\(16\!\cdots\!28\)\( T^{21} + \)\(56\!\cdots\!91\)\( T^{22} - \)\(69\!\cdots\!34\)\( T^{23} + \)\(19\!\cdots\!23\)\( T^{24} - \)\(20\!\cdots\!19\)\( T^{25} + \)\(48\!\cdots\!22\)\( T^{26} - \)\(38\!\cdots\!63\)\( T^{27} + \)\(76\!\cdots\!49\)\( T^{28} - \)\(33\!\cdots\!24\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))(\( 1 - 2 T + 385 T^{2} - 1825 T^{3} + 76960 T^{4} - 525077 T^{5} + 11377299 T^{6} - 88020408 T^{7} + 1401416253 T^{8} - 10812122284 T^{9} + 147526147967 T^{10} - 1093708756390 T^{11} + 13376964983211 T^{12} - 95798481608479 T^{13} + 1062954541193074 T^{14} - 7307094322171462 T^{15} + 75469772424708254 T^{16} - 482920145788342639 T^{17} + 4787762914106032221 T^{18} - 27792978024289391590 T^{19} + \)\(26\!\cdots\!17\)\( T^{20} - \)\(13\!\cdots\!64\)\( T^{21} + \)\(12\!\cdots\!23\)\( T^{22} - \)\(56\!\cdots\!88\)\( T^{23} + \)\(52\!\cdots\!69\)\( T^{24} - \)\(17\!\cdots\!77\)\( T^{25} + \)\(17\!\cdots\!60\)\( T^{26} - \)\(29\!\cdots\!25\)\( T^{27} + \)\(44\!\cdots\!35\)\( T^{28} - \)\(16\!\cdots\!62\)\( T^{29} + \)\(58\!\cdots\!51\)\( T^{30} \))
$73$ (\( 1 + 73 T^{2} \))(\( 1 + 9 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 4 T + 103 T^{2} - 16 T^{3} + 7519 T^{4} - 21316 T^{5} + 389017 T^{6} \))(\( 1 - 7 T + 65 T^{2} - 231 T^{3} + 4745 T^{4} - 37303 T^{5} + 389017 T^{6} \))(\( 1 + 15 T + 86 T^{2} + 443 T^{3} + 6278 T^{4} + 79935 T^{5} + 389017 T^{6} \))(\( 1 - 9 T + 225 T^{2} - 1285 T^{3} + 16425 T^{4} - 47961 T^{5} + 389017 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 785 T^{3} + 8760 T^{4} - 63948 T^{5} + 389017 T^{6} \))(\( ( 1 + 7 T + 73 T^{2} )^{3} \))(\( 1 - 8 T + 175 T^{2} - 824 T^{3} + 12775 T^{4} - 42632 T^{5} + 389017 T^{6} \))(\( 1 + 7 T + 65 T^{2} + 231 T^{3} + 4745 T^{4} + 37303 T^{5} + 389017 T^{6} \))(\( 1 - 9 T^{2} - 856 T^{3} - 657 T^{4} + 389017 T^{6} \))(\( 1 + 4 T + 103 T^{2} + 16 T^{3} + 7519 T^{4} + 21316 T^{5} + 389017 T^{6} \))(\( 1 - 15 T + 86 T^{2} - 443 T^{3} + 6278 T^{4} - 79935 T^{5} + 389017 T^{6} \))(\( 1 + 9 T + 225 T^{2} + 1285 T^{3} + 16425 T^{4} + 47961 T^{5} + 389017 T^{6} \))(\( 1 + 8 T + 63 T^{2} - 136 T^{3} + 4599 T^{4} + 42632 T^{5} + 389017 T^{6} \))(\( ( 1 - 7 T + 73 T^{2} )^{3} \))(\( 1 + 12 T + 120 T^{2} + 785 T^{3} + 8760 T^{4} + 63948 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 168 T^{2} - 220 T^{3} + 11753 T^{4} - 16060 T^{5} + 895272 T^{6} - 2334102 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T + 288 T^{2} + 1680 T^{3} + 31454 T^{4} + 122640 T^{5} + 1534752 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 6 T + 168 T^{2} + 220 T^{3} + 11753 T^{4} + 16060 T^{5} + 895272 T^{6} + 2334102 T^{7} + 28398241 T^{8} \))(\( 1 + 7 T + 322 T^{2} + 2416 T^{3} + 49189 T^{4} + 335965 T^{5} + 4530785 T^{6} + 24525445 T^{7} + 262128181 T^{8} + 939865072 T^{9} + 9144233602 T^{10} + 14511501151 T^{11} + 151334226289 T^{12} \))(\( 1 - 7 T + 322 T^{2} - 2416 T^{3} + 49189 T^{4} - 335965 T^{5} + 4530785 T^{6} - 24525445 T^{7} + 262128181 T^{8} - 939865072 T^{9} + 9144233602 T^{10} - 14511501151 T^{11} + 151334226289 T^{12} \))(\( 1 + 12 T + 192 T^{2} + 2156 T^{3} + 22982 T^{4} + 194572 T^{5} + 1930449 T^{6} + 15455576 T^{7} + 140922777 T^{8} + 1036874188 T^{9} + 8940388694 T^{10} + 61226607596 T^{11} + 398029745856 T^{12} + 1816010715468 T^{13} + 11047398519097 T^{14} \))(\( 1 - 12 T + 192 T^{2} - 2156 T^{3} + 22982 T^{4} - 194572 T^{5} + 1930449 T^{6} - 15455576 T^{7} + 140922777 T^{8} - 1036874188 T^{9} + 8940388694 T^{10} - 61226607596 T^{11} + 398029745856 T^{12} - 1816010715468 T^{13} + 11047398519097 T^{14} \))(\( 1 + 20 T + 424 T^{2} + 5400 T^{3} + 75558 T^{4} + 780156 T^{5} + 8948664 T^{6} + 80062604 T^{7} + 774069247 T^{8} + 5844570092 T^{9} + 47687430456 T^{10} + 303493946652 T^{11} + 2145714293478 T^{12} + 11194586602200 T^{13} + 64165711946536 T^{14} + 220947970381940 T^{15} + 806460091894081 T^{16} \))(\( 1 - 20 T + 424 T^{2} - 5400 T^{3} + 75558 T^{4} - 780156 T^{5} + 8948664 T^{6} - 80062604 T^{7} + 774069247 T^{8} - 5844570092 T^{9} + 47687430456 T^{10} - 303493946652 T^{11} + 2145714293478 T^{12} - 11194586602200 T^{13} + 64165711946536 T^{14} - 220947970381940 T^{15} + 806460091894081 T^{16} \))(\( 1 - 14 T + 468 T^{2} - 6114 T^{3} + 107725 T^{4} - 1237871 T^{5} + 15791240 T^{6} - 155325148 T^{7} + 1607566890 T^{8} - 13446211601 T^{9} + 117352382970 T^{10} - 827727713692 T^{11} + 6143060811080 T^{12} - 35153358984911 T^{13} + 223321637355925 T^{14} - 925257459530946 T^{15} + 5170182506937396 T^{16} - 11290441286517134 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 38 T + 1144 T^{2} - 24250 T^{3} + 437817 T^{4} - 6542249 T^{5} + 86123240 T^{6} - 983915224 T^{7} + 10055017274 T^{8} - 90633327835 T^{9} + 734016261002 T^{10} - 5243284228696 T^{11} + 33503404455080 T^{12} - 185788363784009 T^{13} + 907625985632481 T^{14} - 3669854987508250 T^{15} + 12638223905846968 T^{16} - 30645483491975078 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 14 T + 468 T^{2} + 6114 T^{3} + 107725 T^{4} + 1237871 T^{5} + 15791240 T^{6} + 155325148 T^{7} + 1607566890 T^{8} + 13446211601 T^{9} + 117352382970 T^{10} + 827727713692 T^{11} + 6143060811080 T^{12} + 35153358984911 T^{13} + 223321637355925 T^{14} + 925257459530946 T^{15} + 5170182506937396 T^{16} + 11290441286517134 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 38 T + 1144 T^{2} + 24250 T^{3} + 437817 T^{4} + 6542249 T^{5} + 86123240 T^{6} + 983915224 T^{7} + 10055017274 T^{8} + 90633327835 T^{9} + 734016261002 T^{10} + 5243284228696 T^{11} + 33503404455080 T^{12} + 185788363784009 T^{13} + 907625985632481 T^{14} + 3669854987508250 T^{15} + 12638223905846968 T^{16} + 30645483491975078 T^{17} + 58871586708267913 T^{18} \))(\( 1 - 36 T + 1248 T^{2} - 29600 T^{3} + 637894 T^{4} - 11503588 T^{5} + 190198015 T^{6} - 2795246592 T^{7} + 38101738871 T^{8} - 473867184252 T^{9} + 5509919210434 T^{10} - 59230820249640 T^{11} + 598190014243967 T^{12} - 5621180568381624 T^{13} + 49742057757391257 T^{14} - 410346181491858552 T^{15} + 3187754585906100143 T^{16} - 23041796001054203880 T^{17} + \)\(15\!\cdots\!94\)\( T^{18} - \)\(98\!\cdots\!36\)\( T^{19} + \)\(57\!\cdots\!19\)\( T^{20} - \)\(30\!\cdots\!24\)\( T^{21} + \)\(15\!\cdots\!15\)\( T^{22} - \)\(67\!\cdots\!44\)\( T^{23} + \)\(27\!\cdots\!06\)\( T^{24} - \)\(92\!\cdots\!00\)\( T^{25} + \)\(28\!\cdots\!08\)\( T^{26} - \)\(60\!\cdots\!88\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 + 36 T + 1248 T^{2} + 29600 T^{3} + 637894 T^{4} + 11503588 T^{5} + 190198015 T^{6} + 2795246592 T^{7} + 38101738871 T^{8} + 473867184252 T^{9} + 5509919210434 T^{10} + 59230820249640 T^{11} + 598190014243967 T^{12} + 5621180568381624 T^{13} + 49742057757391257 T^{14} + 410346181491858552 T^{15} + 3187754585906100143 T^{16} + 23041796001054203880 T^{17} + \)\(15\!\cdots\!94\)\( T^{18} + \)\(98\!\cdots\!36\)\( T^{19} + \)\(57\!\cdots\!19\)\( T^{20} + \)\(30\!\cdots\!24\)\( T^{21} + \)\(15\!\cdots\!15\)\( T^{22} + \)\(67\!\cdots\!44\)\( T^{23} + \)\(27\!\cdots\!06\)\( T^{24} + \)\(92\!\cdots\!00\)\( T^{25} + \)\(28\!\cdots\!08\)\( T^{26} + \)\(60\!\cdots\!88\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 + 12 T + 703 T^{2} + 6204 T^{3} + 224854 T^{4} + 1477629 T^{5} + 45390832 T^{6} + 220105693 T^{7} + 6718357632 T^{8} + 23755749774 T^{9} + 795157240234 T^{10} + 2076224736096 T^{11} + 78946428698936 T^{12} + 161800938066413 T^{13} + 6706158571112564 T^{14} + 11989923870610759 T^{15} + 489549575691217172 T^{16} + 862237198955914877 T^{17} + 30711502853173985912 T^{18} + 58961130425815607136 T^{19} + \)\(16\!\cdots\!62\)\( T^{20} + \)\(35\!\cdots\!86\)\( T^{21} + \)\(74\!\cdots\!04\)\( T^{22} + \)\(17\!\cdots\!33\)\( T^{23} + \)\(26\!\cdots\!16\)\( T^{24} + \)\(63\!\cdots\!21\)\( T^{25} + \)\(70\!\cdots\!58\)\( T^{26} + \)\(14\!\cdots\!84\)\( T^{27} + \)\(11\!\cdots\!99\)\( T^{28} + \)\(14\!\cdots\!08\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 + 64 T + 2675 T^{2} + 82104 T^{3} + 2069338 T^{4} + 44272823 T^{5} + 831757764 T^{6} + 13931380615 T^{7} + 211220033292 T^{8} + 2922397237294 T^{9} + 37196522877922 T^{10} + 437509213782108 T^{11} + 4776831741336660 T^{12} + 48525557169712787 T^{13} + 459709914185384896 T^{14} + 4064354345357773833 T^{15} + 33558823735533097408 T^{16} + \)\(25\!\cdots\!23\)\( T^{17} + \)\(18\!\cdots\!20\)\( T^{18} + \)\(12\!\cdots\!28\)\( T^{19} + \)\(77\!\cdots\!46\)\( T^{20} + \)\(44\!\cdots\!66\)\( T^{21} + \)\(23\!\cdots\!24\)\( T^{22} + \)\(11\!\cdots\!15\)\( T^{23} + \)\(48\!\cdots\!32\)\( T^{24} + \)\(19\!\cdots\!27\)\( T^{25} + \)\(64\!\cdots\!26\)\( T^{26} + \)\(18\!\cdots\!84\)\( T^{27} + \)\(44\!\cdots\!75\)\( T^{28} + \)\(78\!\cdots\!76\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 - 12 T + 703 T^{2} - 6204 T^{3} + 224854 T^{4} - 1477629 T^{5} + 45390832 T^{6} - 220105693 T^{7} + 6718357632 T^{8} - 23755749774 T^{9} + 795157240234 T^{10} - 2076224736096 T^{11} + 78946428698936 T^{12} - 161800938066413 T^{13} + 6706158571112564 T^{14} - 11989923870610759 T^{15} + 489549575691217172 T^{16} - 862237198955914877 T^{17} + 30711502853173985912 T^{18} - 58961130425815607136 T^{19} + \)\(16\!\cdots\!62\)\( T^{20} - \)\(35\!\cdots\!86\)\( T^{21} + \)\(74\!\cdots\!04\)\( T^{22} - \)\(17\!\cdots\!33\)\( T^{23} + \)\(26\!\cdots\!16\)\( T^{24} - \)\(63\!\cdots\!21\)\( T^{25} + \)\(70\!\cdots\!58\)\( T^{26} - \)\(14\!\cdots\!84\)\( T^{27} + \)\(11\!\cdots\!99\)\( T^{28} - \)\(14\!\cdots\!08\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))(\( 1 - 64 T + 2675 T^{2} - 82104 T^{3} + 2069338 T^{4} - 44272823 T^{5} + 831757764 T^{6} - 13931380615 T^{7} + 211220033292 T^{8} - 2922397237294 T^{9} + 37196522877922 T^{10} - 437509213782108 T^{11} + 4776831741336660 T^{12} - 48525557169712787 T^{13} + 459709914185384896 T^{14} - 4064354345357773833 T^{15} + 33558823735533097408 T^{16} - \)\(25\!\cdots\!23\)\( T^{17} + \)\(18\!\cdots\!20\)\( T^{18} - \)\(12\!\cdots\!28\)\( T^{19} + \)\(77\!\cdots\!46\)\( T^{20} - \)\(44\!\cdots\!66\)\( T^{21} + \)\(23\!\cdots\!24\)\( T^{22} - \)\(11\!\cdots\!15\)\( T^{23} + \)\(48\!\cdots\!32\)\( T^{24} - \)\(19\!\cdots\!27\)\( T^{25} + \)\(64\!\cdots\!26\)\( T^{26} - \)\(18\!\cdots\!84\)\( T^{27} + \)\(44\!\cdots\!75\)\( T^{28} - \)\(78\!\cdots\!76\)\( T^{29} + \)\(89\!\cdots\!57\)\( T^{30} \))
$79$ (\( 1 - 8 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 26 T + 285 T^{2} + 2324 T^{3} + 22515 T^{4} + 162266 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 289 T^{2} - 2729 T^{3} + 22831 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 + 2 T + 130 T^{2} + 545 T^{3} + 10270 T^{4} + 12482 T^{5} + 493039 T^{6} \))(\( 1 - T + 137 T^{2} - 339 T^{3} + 10823 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 - 10 T + 205 T^{2} - 1268 T^{3} + 16195 T^{4} - 62410 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 366 T^{2} - 3719 T^{3} + 28914 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 - 12 T + 173 T^{2} - 1064 T^{3} + 13667 T^{4} - 74892 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 289 T^{2} - 2729 T^{3} + 22831 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 + 189 T^{2} + 64 T^{3} + 14931 T^{4} + 493039 T^{6} \))(\( 1 + 26 T + 285 T^{2} + 2324 T^{3} + 22515 T^{4} + 162266 T^{5} + 493039 T^{6} \))(\( 1 + 2 T + 130 T^{2} + 545 T^{3} + 10270 T^{4} + 12482 T^{5} + 493039 T^{6} \))(\( 1 - T + 137 T^{2} - 339 T^{3} + 10823 T^{4} - 6241 T^{5} + 493039 T^{6} \))(\( 1 - 8 T + 157 T^{2} - 1328 T^{3} + 12403 T^{4} - 49928 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 366 T^{2} - 3719 T^{3} + 28914 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 - 10 T + 205 T^{2} - 1268 T^{3} + 16195 T^{4} - 62410 T^{5} + 493039 T^{6} \))(\( 1 + 12 T + 103 T^{2} + 25 T^{3} - 1502 T^{4} + 1975 T^{5} + 642823 T^{6} + 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T + 172 T^{2} + 1628 T^{3} + 18790 T^{4} + 128612 T^{5} + 1073452 T^{6} + 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T + 103 T^{2} + 25 T^{3} - 1502 T^{4} + 1975 T^{5} + 642823 T^{6} + 5916468 T^{7} + 38950081 T^{8} \))(\( 1 - 18 T + 413 T^{2} - 3901 T^{3} + 49289 T^{4} - 284671 T^{5} + 3531642 T^{6} - 22489009 T^{7} + 307612649 T^{8} - 1923345139 T^{9} + 16086383453 T^{10} - 55387015182 T^{11} + 243087455521 T^{12} \))(\( 1 - 18 T + 413 T^{2} - 3901 T^{3} + 49289 T^{4} - 284671 T^{5} + 3531642 T^{6} - 22489009 T^{7} + 307612649 T^{8} - 1923345139 T^{9} + 16086383453 T^{10} - 55387015182 T^{11} + 243087455521 T^{12} \))(\( 1 + 4 T + 289 T^{2} + 816 T^{3} + 49277 T^{4} + 129852 T^{5} + 5490301 T^{6} + 11393056 T^{7} + 433733779 T^{8} + 810406332 T^{9} + 24295482803 T^{10} + 31783266096 T^{11} + 889269299311 T^{12} + 972349822084 T^{13} + 19203908986159 T^{14} \))(\( 1 + 4 T + 289 T^{2} + 816 T^{3} + 49277 T^{4} + 129852 T^{5} + 5490301 T^{6} + 11393056 T^{7} + 433733779 T^{8} + 810406332 T^{9} + 24295482803 T^{10} + 31783266096 T^{11} + 889269299311 T^{12} + 972349822084 T^{13} + 19203908986159 T^{14} \))(\( 1 + 22 T + 750 T^{2} + 11526 T^{3} + 221681 T^{4} + 2598778 T^{5} + 35787217 T^{6} + 332225248 T^{7} + 3549079388 T^{8} + 26245794592 T^{9} + 223348021297 T^{10} + 1281298906342 T^{11} + 8634492906161 T^{12} + 35466152054874 T^{13} + 182315591640750 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 22 T + 750 T^{2} + 11526 T^{3} + 221681 T^{4} + 2598778 T^{5} + 35787217 T^{6} + 332225248 T^{7} + 3549079388 T^{8} + 26245794592 T^{9} + 223348021297 T^{10} + 1281298906342 T^{11} + 8634492906161 T^{12} + 35466152054874 T^{13} + 182315591640750 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 28 T + 735 T^{2} + 13509 T^{3} + 220633 T^{4} + 3053806 T^{5} + 38302244 T^{6} + 427340522 T^{7} + 4378584196 T^{8} + 40541907937 T^{9} + 345908151484 T^{10} + 2667032197802 T^{11} + 18884500079516 T^{12} + 118945991058286 T^{13} + 678900184480567 T^{14} + 3283868436633189 T^{15} + 14114873104826865 T^{16} + 42479046677383708 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 20 T + 601 T^{2} + 8027 T^{3} + 145569 T^{4} + 1526336 T^{5} + 21650972 T^{6} + 192756574 T^{7} + 2309289000 T^{8} + 17753997419 T^{9} + 182433831000 T^{10} + 1202993778334 T^{11} + 10674773583908 T^{12} + 59450910833216 T^{13} + 447924022946031 T^{14} + 1951263005467067 T^{15} + 11541549300681559 T^{16} + 30342176198131220 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 28 T + 735 T^{2} + 13509 T^{3} + 220633 T^{4} + 3053806 T^{5} + 38302244 T^{6} + 427340522 T^{7} + 4378584196 T^{8} + 40541907937 T^{9} + 345908151484 T^{10} + 2667032197802 T^{11} + 18884500079516 T^{12} + 118945991058286 T^{13} + 678900184480567 T^{14} + 3283868436633189 T^{15} + 14114873104826865 T^{16} + 42479046677383708 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 20 T + 601 T^{2} + 8027 T^{3} + 145569 T^{4} + 1526336 T^{5} + 21650972 T^{6} + 192756574 T^{7} + 2309289000 T^{8} + 17753997419 T^{9} + 182433831000 T^{10} + 1202993778334 T^{11} + 10674773583908 T^{12} + 59450910833216 T^{13} + 447924022946031 T^{14} + 1951263005467067 T^{15} + 11541549300681559 T^{16} + 30342176198131220 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 34 T + 1176 T^{2} - 26146 T^{3} + 552860 T^{4} - 9433460 T^{5} + 152584761 T^{6} - 2151456794 T^{7} + 28914582640 T^{8} - 351004144928 T^{9} + 4084216339840 T^{10} - 43712593413592 T^{11} + 450197246339987 T^{12} - 4302677194949406 T^{13} + 39646676959150046 T^{14} - 339911498401003074 T^{15} + 2809681014407858867 T^{16} - 21552013344043986088 T^{17} + \)\(15\!\cdots\!40\)\( T^{18} - \)\(10\!\cdots\!72\)\( T^{19} + \)\(70\!\cdots\!40\)\( T^{20} - \)\(41\!\cdots\!46\)\( T^{21} + \)\(23\!\cdots\!21\)\( T^{22} - \)\(11\!\cdots\!40\)\( T^{23} + \)\(52\!\cdots\!60\)\( T^{24} - \)\(19\!\cdots\!34\)\( T^{25} + \)\(69\!\cdots\!16\)\( T^{26} - \)\(15\!\cdots\!26\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 34 T + 1176 T^{2} - 26146 T^{3} + 552860 T^{4} - 9433460 T^{5} + 152584761 T^{6} - 2151456794 T^{7} + 28914582640 T^{8} - 351004144928 T^{9} + 4084216339840 T^{10} - 43712593413592 T^{11} + 450197246339987 T^{12} - 4302677194949406 T^{13} + 39646676959150046 T^{14} - 339911498401003074 T^{15} + 2809681014407858867 T^{16} - 21552013344043986088 T^{17} + \)\(15\!\cdots\!40\)\( T^{18} - \)\(10\!\cdots\!72\)\( T^{19} + \)\(70\!\cdots\!40\)\( T^{20} - \)\(41\!\cdots\!46\)\( T^{21} + \)\(23\!\cdots\!21\)\( T^{22} - \)\(11\!\cdots\!40\)\( T^{23} + \)\(52\!\cdots\!60\)\( T^{24} - \)\(19\!\cdots\!34\)\( T^{25} + \)\(69\!\cdots\!16\)\( T^{26} - \)\(15\!\cdots\!26\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 23 T + 793 T^{2} - 14494 T^{3} + 294893 T^{4} - 4443418 T^{5} + 69031289 T^{6} - 887453659 T^{7} + 11548112869 T^{8} - 130658943341 T^{9} + 1492562807995 T^{10} - 15254592771293 T^{11} + 157856856544234 T^{12} - 1487207122851956 T^{13} + 14257058949136364 T^{14} - 125460138273608216 T^{15} + 1126307656981772756 T^{16} - 9281659653719057396 T^{17} + 77829586693712587126 T^{18} - \)\(59\!\cdots\!33\)\( T^{19} + \)\(45\!\cdots\!05\)\( T^{20} - \)\(31\!\cdots\!61\)\( T^{21} + \)\(22\!\cdots\!71\)\( T^{22} - \)\(13\!\cdots\!99\)\( T^{23} + \)\(82\!\cdots\!91\)\( T^{24} - \)\(42\!\cdots\!18\)\( T^{25} + \)\(22\!\cdots\!47\)\( T^{26} - \)\(85\!\cdots\!54\)\( T^{27} + \)\(37\!\cdots\!27\)\( T^{28} - \)\(84\!\cdots\!63\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 - 15 T + 503 T^{2} - 5344 T^{3} + 106035 T^{4} - 736860 T^{5} + 11385963 T^{6} - 25364949 T^{7} + 548777997 T^{8} + 5530565403 T^{9} + 564685209 T^{10} + 847298641073 T^{11} + 518921517300 T^{12} + 56489511128282 T^{13} + 292819244164118 T^{14} + 3280860770402076 T^{15} + 23132720288965322 T^{16} + 352551038951607962 T^{17} + 255848545968074700 T^{18} + 33002350700983276913 T^{19} + 1737568235774102391 T^{20} + \)\(13\!\cdots\!63\)\( T^{21} + \)\(10\!\cdots\!23\)\( T^{22} - \)\(38\!\cdots\!89\)\( T^{23} + \)\(13\!\cdots\!97\)\( T^{24} - \)\(69\!\cdots\!60\)\( T^{25} + \)\(79\!\cdots\!65\)\( T^{26} - \)\(31\!\cdots\!04\)\( T^{27} + \)\(23\!\cdots\!17\)\( T^{28} - \)\(55\!\cdots\!15\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 - 23 T + 793 T^{2} - 14494 T^{3} + 294893 T^{4} - 4443418 T^{5} + 69031289 T^{6} - 887453659 T^{7} + 11548112869 T^{8} - 130658943341 T^{9} + 1492562807995 T^{10} - 15254592771293 T^{11} + 157856856544234 T^{12} - 1487207122851956 T^{13} + 14257058949136364 T^{14} - 125460138273608216 T^{15} + 1126307656981772756 T^{16} - 9281659653719057396 T^{17} + 77829586693712587126 T^{18} - \)\(59\!\cdots\!33\)\( T^{19} + \)\(45\!\cdots\!05\)\( T^{20} - \)\(31\!\cdots\!61\)\( T^{21} + \)\(22\!\cdots\!71\)\( T^{22} - \)\(13\!\cdots\!99\)\( T^{23} + \)\(82\!\cdots\!91\)\( T^{24} - \)\(42\!\cdots\!18\)\( T^{25} + \)\(22\!\cdots\!47\)\( T^{26} - \)\(85\!\cdots\!54\)\( T^{27} + \)\(37\!\cdots\!27\)\( T^{28} - \)\(84\!\cdots\!63\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))(\( 1 - 15 T + 503 T^{2} - 5344 T^{3} + 106035 T^{4} - 736860 T^{5} + 11385963 T^{6} - 25364949 T^{7} + 548777997 T^{8} + 5530565403 T^{9} + 564685209 T^{10} + 847298641073 T^{11} + 518921517300 T^{12} + 56489511128282 T^{13} + 292819244164118 T^{14} + 3280860770402076 T^{15} + 23132720288965322 T^{16} + 352551038951607962 T^{17} + 255848545968074700 T^{18} + 33002350700983276913 T^{19} + 1737568235774102391 T^{20} + \)\(13\!\cdots\!63\)\( T^{21} + \)\(10\!\cdots\!23\)\( T^{22} - \)\(38\!\cdots\!89\)\( T^{23} + \)\(13\!\cdots\!97\)\( T^{24} - \)\(69\!\cdots\!60\)\( T^{25} + \)\(79\!\cdots\!65\)\( T^{26} - \)\(31\!\cdots\!04\)\( T^{27} + \)\(23\!\cdots\!17\)\( T^{28} - \)\(55\!\cdots\!15\)\( T^{29} + \)\(29\!\cdots\!99\)\( T^{30} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 31 T + 553 T^{2} - 6057 T^{3} + 45899 T^{4} - 213559 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 317 T^{2} + 3328 T^{3} + 26311 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 + 5 T - 7 T^{2} - 995 T^{3} - 581 T^{4} + 34445 T^{5} + 571787 T^{6} \))(\( 1 - 10 T + 273 T^{2} - 1668 T^{3} + 22659 T^{4} - 68890 T^{5} + 571787 T^{6} \))(\( 1 - 4 T + 189 T^{2} - 448 T^{3} + 15687 T^{4} - 27556 T^{5} + 571787 T^{6} \))(\( 1 + 3 T + 123 T^{2} + 579 T^{3} + 10209 T^{4} + 20667 T^{5} + 571787 T^{6} \))(\( 1 + 5 T + 157 T^{2} + 453 T^{3} + 13031 T^{4} + 34445 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 317 T^{2} - 3328 T^{3} + 26311 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 - 21 T + 357 T^{2} - 3537 T^{3} + 29631 T^{4} - 144669 T^{5} + 571787 T^{6} \))(\( 1 + 31 T + 553 T^{2} + 6057 T^{3} + 45899 T^{4} + 213559 T^{5} + 571787 T^{6} \))(\( 1 - 5 T - 7 T^{2} + 995 T^{3} - 581 T^{4} - 34445 T^{5} + 571787 T^{6} \))(\( 1 + 10 T + 273 T^{2} + 1668 T^{3} + 22659 T^{4} + 68890 T^{5} + 571787 T^{6} \))(\( 1 - 3 T + 81 T^{2} + 185 T^{3} + 6723 T^{4} - 20667 T^{5} + 571787 T^{6} \))(\( 1 - 3 T + 123 T^{2} - 579 T^{3} + 10209 T^{4} - 20667 T^{5} + 571787 T^{6} \))(\( 1 + 4 T + 189 T^{2} + 448 T^{3} + 15687 T^{4} + 27556 T^{5} + 571787 T^{6} \))(\( 1 + 17 T + 410 T^{2} + 4216 T^{3} + 53744 T^{4} + 349928 T^{5} + 2824490 T^{6} + 9720379 T^{7} + 47458321 T^{8} \))(\( 1 - T + 160 T^{2} + 8 T^{3} + 13994 T^{4} + 664 T^{5} + 1102240 T^{6} - 571787 T^{7} + 47458321 T^{8} \))(\( 1 - 17 T + 410 T^{2} - 4216 T^{3} + 53744 T^{4} - 349928 T^{5} + 2824490 T^{6} - 9720379 T^{7} + 47458321 T^{8} \))(\( 1 - 7 T + 232 T^{2} - 2052 T^{3} + 35075 T^{4} - 259765 T^{5} + 3676768 T^{6} - 21560495 T^{7} + 241631675 T^{8} - 1173306924 T^{9} + 11010330472 T^{10} - 27573284501 T^{11} + 326940373369 T^{12} \))(\( 1 + 7 T + 232 T^{2} + 2052 T^{3} + 35075 T^{4} + 259765 T^{5} + 3676768 T^{6} + 21560495 T^{7} + 241631675 T^{8} + 1173306924 T^{9} + 11010330472 T^{10} + 27573284501 T^{11} + 326940373369 T^{12} \))(\( 1 + 13 T + 303 T^{2} + 1237 T^{3} + 27765 T^{4} + 44291 T^{5} + 3497727 T^{6} + 11433782 T^{7} + 290311341 T^{8} + 305120699 T^{9} + 15875666055 T^{10} + 58705943077 T^{11} + 1193529314829 T^{12} + 4250224853797 T^{13} + 27136050989627 T^{14} \))(\( 1 - 13 T + 303 T^{2} - 1237 T^{3} + 27765 T^{4} - 44291 T^{5} + 3497727 T^{6} - 11433782 T^{7} + 290311341 T^{8} - 305120699 T^{9} + 15875666055 T^{10} - 58705943077 T^{11} + 1193529314829 T^{12} - 4250224853797 T^{13} + 27136050989627 T^{14} \))(\( 1 + 18 T + 523 T^{2} + 7294 T^{3} + 127848 T^{4} + 1454578 T^{5} + 19159590 T^{6} + 181024400 T^{7} + 1919997810 T^{8} + 15025025200 T^{9} + 131990415510 T^{10} + 831708790886 T^{11} + 6067451423208 T^{12} + 28731362450042 T^{13} + 170989815271987 T^{14} + 488448917813286 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 18 T + 523 T^{2} - 7294 T^{3} + 127848 T^{4} - 1454578 T^{5} + 19159590 T^{6} - 181024400 T^{7} + 1919997810 T^{8} - 15025025200 T^{9} + 131990415510 T^{10} - 831708790886 T^{11} + 6067451423208 T^{12} - 28731362450042 T^{13} + 170989815271987 T^{14} - 488448917813286 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 22 T + 558 T^{2} - 7469 T^{3} + 100271 T^{4} - 858471 T^{5} + 6559033 T^{6} - 23933769 T^{7} - 24298885 T^{8} + 1402330001 T^{9} - 2016807455 T^{10} - 164879734641 T^{11} + 3750369801971 T^{12} - 40741592287191 T^{13} + 394971544314253 T^{14} - 2441917648693061 T^{15} + 15141916452211866 T^{16} - 49550429107058902 T^{17} + 186940255267540403 T^{18} \))(\( 1 - 20 T + 672 T^{2} - 9731 T^{3} + 192949 T^{4} - 2258375 T^{5} + 33512045 T^{6} - 328765125 T^{7} + 3942673291 T^{8} - 32653941943 T^{9} + 327241883153 T^{10} - 2264862946125 T^{11} + 19161751674415 T^{12} - 107178685688375 T^{13} + 760033953026207 T^{14} - 3181456773253739 T^{15} + 18235426265029344 T^{16} - 45045844642780820 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 22 T + 558 T^{2} + 7469 T^{3} + 100271 T^{4} + 858471 T^{5} + 6559033 T^{6} + 23933769 T^{7} - 24298885 T^{8} - 1402330001 T^{9} - 2016807455 T^{10} + 164879734641 T^{11} + 3750369801971 T^{12} + 40741592287191 T^{13} + 394971544314253 T^{14} + 2441917648693061 T^{15} + 15141916452211866 T^{16} + 49550429107058902 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 20 T + 672 T^{2} + 9731 T^{3} + 192949 T^{4} + 2258375 T^{5} + 33512045 T^{6} + 328765125 T^{7} + 3942673291 T^{8} + 32653941943 T^{9} + 327241883153 T^{10} + 2264862946125 T^{11} + 19161751674415 T^{12} + 107178685688375 T^{13} + 760033953026207 T^{14} + 3181456773253739 T^{15} + 18235426265029344 T^{16} + 45045844642780820 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 2 T + 481 T^{2} - 1258 T^{3} + 111749 T^{4} - 794024 T^{5} + 19000799 T^{6} - 193229162 T^{7} + 2795910017 T^{8} - 30712186268 T^{9} + 355025122263 T^{10} - 3781004904544 T^{11} + 37880120693129 T^{12} - 380665058904802 T^{13} + 3410457866926418 T^{14} - 31595199889098566 T^{15} + 260956151454965681 T^{16} - 2161929451354500128 T^{17} + 16848896215421700423 T^{18} - \)\(12\!\cdots\!24\)\( T^{19} + \)\(91\!\cdots\!73\)\( T^{20} - \)\(52\!\cdots\!74\)\( T^{21} + \)\(42\!\cdots\!59\)\( T^{22} - \)\(14\!\cdots\!72\)\( T^{23} + \)\(17\!\cdots\!01\)\( T^{24} - \)\(16\!\cdots\!86\)\( T^{25} + \)\(51\!\cdots\!41\)\( T^{26} + \)\(17\!\cdots\!26\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 2 T + 481 T^{2} + 1258 T^{3} + 111749 T^{4} + 794024 T^{5} + 19000799 T^{6} + 193229162 T^{7} + 2795910017 T^{8} + 30712186268 T^{9} + 355025122263 T^{10} + 3781004904544 T^{11} + 37880120693129 T^{12} + 380665058904802 T^{13} + 3410457866926418 T^{14} + 31595199889098566 T^{15} + 260956151454965681 T^{16} + 2161929451354500128 T^{17} + 16848896215421700423 T^{18} + \)\(12\!\cdots\!24\)\( T^{19} + \)\(91\!\cdots\!73\)\( T^{20} + \)\(52\!\cdots\!74\)\( T^{21} + \)\(42\!\cdots\!59\)\( T^{22} + \)\(14\!\cdots\!72\)\( T^{23} + \)\(17\!\cdots\!01\)\( T^{24} + \)\(16\!\cdots\!86\)\( T^{25} + \)\(51\!\cdots\!41\)\( T^{26} - \)\(17\!\cdots\!26\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 - 3 T + 614 T^{2} - 1991 T^{3} + 202245 T^{4} - 678149 T^{5} + 46274930 T^{6} - 155211342 T^{7} + 8111194111 T^{8} - 26616937358 T^{9} + 1144625563887 T^{10} - 3607308964991 T^{11} + 133665245077085 T^{12} - 397842325778158 T^{13} + 13114470470596099 T^{14} - 36249858147756680 T^{15} + 1088501049059476217 T^{16} - 2740735782285730462 T^{17} + 76428049486891200895 T^{18} - \)\(17\!\cdots\!11\)\( T^{19} + \)\(45\!\cdots\!41\)\( T^{20} - \)\(87\!\cdots\!02\)\( T^{21} + \)\(22\!\cdots\!97\)\( T^{22} - \)\(34\!\cdots\!22\)\( T^{23} + \)\(86\!\cdots\!90\)\( T^{24} - \)\(10\!\cdots\!01\)\( T^{25} + \)\(26\!\cdots\!15\)\( T^{26} - \)\(21\!\cdots\!51\)\( T^{27} + \)\(54\!\cdots\!82\)\( T^{28} - \)\(22\!\cdots\!87\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 + 11 T + 816 T^{2} + 7675 T^{3} + 323267 T^{4} + 2682639 T^{5} + 83882038 T^{6} + 626754098 T^{7} + 16061118235 T^{8} + 109292684302 T^{9} + 2408571290799 T^{10} + 15005176801169 T^{11} + 292267750548719 T^{12} + 1668576232169058 T^{13} + 29213895093405645 T^{14} + 152449722652878280 T^{15} + 2424753292752668535 T^{16} + 11494821663412640562 T^{17} + \)\(16\!\cdots\!53\)\( T^{18} + \)\(71\!\cdots\!49\)\( T^{19} + \)\(94\!\cdots\!57\)\( T^{20} + \)\(35\!\cdots\!38\)\( T^{21} + \)\(43\!\cdots\!45\)\( T^{22} + \)\(14\!\cdots\!18\)\( T^{23} + \)\(15\!\cdots\!14\)\( T^{24} + \)\(41\!\cdots\!11\)\( T^{25} + \)\(41\!\cdots\!89\)\( T^{26} + \)\(82\!\cdots\!75\)\( T^{27} + \)\(72\!\cdots\!08\)\( T^{28} + \)\(81\!\cdots\!19\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 + 3 T + 614 T^{2} + 1991 T^{3} + 202245 T^{4} + 678149 T^{5} + 46274930 T^{6} + 155211342 T^{7} + 8111194111 T^{8} + 26616937358 T^{9} + 1144625563887 T^{10} + 3607308964991 T^{11} + 133665245077085 T^{12} + 397842325778158 T^{13} + 13114470470596099 T^{14} + 36249858147756680 T^{15} + 1088501049059476217 T^{16} + 2740735782285730462 T^{17} + 76428049486891200895 T^{18} + \)\(17\!\cdots\!11\)\( T^{19} + \)\(45\!\cdots\!41\)\( T^{20} + \)\(87\!\cdots\!02\)\( T^{21} + \)\(22\!\cdots\!97\)\( T^{22} + \)\(34\!\cdots\!22\)\( T^{23} + \)\(86\!\cdots\!90\)\( T^{24} + \)\(10\!\cdots\!01\)\( T^{25} + \)\(26\!\cdots\!15\)\( T^{26} + \)\(21\!\cdots\!51\)\( T^{27} + \)\(54\!\cdots\!82\)\( T^{28} + \)\(22\!\cdots\!87\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))(\( 1 - 11 T + 816 T^{2} - 7675 T^{3} + 323267 T^{4} - 2682639 T^{5} + 83882038 T^{6} - 626754098 T^{7} + 16061118235 T^{8} - 109292684302 T^{9} + 2408571290799 T^{10} - 15005176801169 T^{11} + 292267750548719 T^{12} - 1668576232169058 T^{13} + 29213895093405645 T^{14} - 152449722652878280 T^{15} + 2424753292752668535 T^{16} - 11494821663412640562 T^{17} + \)\(16\!\cdots\!53\)\( T^{18} - \)\(71\!\cdots\!49\)\( T^{19} + \)\(94\!\cdots\!57\)\( T^{20} - \)\(35\!\cdots\!38\)\( T^{21} + \)\(43\!\cdots\!45\)\( T^{22} - \)\(14\!\cdots\!18\)\( T^{23} + \)\(15\!\cdots\!14\)\( T^{24} - \)\(41\!\cdots\!11\)\( T^{25} + \)\(41\!\cdots\!89\)\( T^{26} - \)\(82\!\cdots\!75\)\( T^{27} + \)\(72\!\cdots\!08\)\( T^{28} - \)\(81\!\cdots\!19\)\( T^{29} + \)\(61\!\cdots\!07\)\( T^{30} \))
$89$ (\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 17 T + 333 T^{2} - 3069 T^{3} + 29637 T^{4} - 134657 T^{5} + 704969 T^{6} \))(\( 1 + 155 T^{2} - 448 T^{3} + 13795 T^{4} + 704969 T^{6} \))(\( 1 - 27 T + 471 T^{2} - 5119 T^{3} + 41919 T^{4} - 213867 T^{5} + 704969 T^{6} \))(\( 1 - 30 T + 455 T^{2} - 4772 T^{3} + 40495 T^{4} - 237630 T^{5} + 704969 T^{6} \))(\( 1 - 2 T + 39 T^{2} + 292 T^{3} + 3471 T^{4} - 15842 T^{5} + 704969 T^{6} \))(\( 1 - 5 T + 261 T^{2} - 863 T^{3} + 23229 T^{4} - 39605 T^{5} + 704969 T^{6} \))(\( 1 - 21 T + 365 T^{2} - 3647 T^{3} + 32485 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 + 155 T^{2} + 448 T^{3} + 13795 T^{4} + 704969 T^{6} \))(\( 1 + 21 T + 213 T^{2} + 1667 T^{3} + 18957 T^{4} + 166341 T^{5} + 704969 T^{6} \))(\( 1 + 17 T + 333 T^{2} + 3069 T^{3} + 29637 T^{4} + 134657 T^{5} + 704969 T^{6} \))(\( 1 + 27 T + 471 T^{2} + 5119 T^{3} + 41919 T^{4} + 213867 T^{5} + 704969 T^{6} \))(\( 1 + 30 T + 455 T^{2} + 4772 T^{3} + 40495 T^{4} + 237630 T^{5} + 704969 T^{6} \))(\( 1 + T + 261 T^{2} + 171 T^{3} + 23229 T^{4} + 7921 T^{5} + 704969 T^{6} \))(\( 1 + 5 T + 261 T^{2} + 863 T^{3} + 23229 T^{4} + 39605 T^{5} + 704969 T^{6} \))(\( 1 + 2 T + 39 T^{2} - 292 T^{3} + 3471 T^{4} + 15842 T^{5} + 704969 T^{6} \))(\( 1 + 15 T + 256 T^{2} + 3130 T^{3} + 28476 T^{4} + 278570 T^{5} + 2027776 T^{6} + 10574535 T^{7} + 62742241 T^{8} \))(\( 1 - 9 T + 254 T^{2} - 1168 T^{3} + 26274 T^{4} - 103952 T^{5} + 2011934 T^{6} - 6344721 T^{7} + 62742241 T^{8} \))(\( 1 - 15 T + 256 T^{2} - 3130 T^{3} + 28476 T^{4} - 278570 T^{5} + 2027776 T^{6} - 10574535 T^{7} + 62742241 T^{8} \))(\( 1 + 9 T + 428 T^{2} + 4030 T^{3} + 81745 T^{4} + 719673 T^{5} + 9179524 T^{6} + 64050897 T^{7} + 647502145 T^{8} + 2841025070 T^{9} + 26853679148 T^{10} + 50256535041 T^{11} + 496981290961 T^{12} \))(\( 1 - 9 T + 428 T^{2} - 4030 T^{3} + 81745 T^{4} - 719673 T^{5} + 9179524 T^{6} - 64050897 T^{7} + 647502145 T^{8} - 2841025070 T^{9} + 26853679148 T^{10} - 50256535041 T^{11} + 496981290961 T^{12} \))(\( 1 - 15 T + 147 T^{2} - 2045 T^{3} + 28871 T^{4} - 298893 T^{5} + 2740621 T^{6} - 28440382 T^{7} + 243915269 T^{8} - 2367531453 T^{9} + 20353159999 T^{10} - 128307882845 T^{11} + 820856739003 T^{12} - 7454719364415 T^{13} + 44231334895529 T^{14} \))(\( 1 + 15 T + 147 T^{2} + 2045 T^{3} + 28871 T^{4} + 298893 T^{5} + 2740621 T^{6} + 28440382 T^{7} + 243915269 T^{8} + 2367531453 T^{9} + 20353159999 T^{10} + 128307882845 T^{11} + 820856739003 T^{12} + 7454719364415 T^{13} + 44231334895529 T^{14} \))(\( 1 - 18 T + 539 T^{2} - 7280 T^{3} + 121252 T^{4} - 1273794 T^{5} + 16066674 T^{6} - 140588680 T^{7} + 1573448600 T^{8} - 12512392520 T^{9} + 127264124754 T^{10} - 897985282386 T^{11} + 7607622205732 T^{12} - 40651952788720 T^{13} + 267872915827979 T^{14} - 796164028119522 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 18 T + 539 T^{2} + 7280 T^{3} + 121252 T^{4} + 1273794 T^{5} + 16066674 T^{6} + 140588680 T^{7} + 1573448600 T^{8} + 12512392520 T^{9} + 127264124754 T^{10} + 897985282386 T^{11} + 7607622205732 T^{12} + 40651952788720 T^{13} + 267872915827979 T^{14} + 796164028119522 T^{15} + 3936588805702081 T^{16} \))(\( 1 + 3 T + 525 T^{2} + 277 T^{3} + 124456 T^{4} - 181814 T^{5} + 18817829 T^{6} - 49978054 T^{7} + 2121541234 T^{8} - 6001725747 T^{9} + 188817169826 T^{10} - 395876165734 T^{11} + 13265986092301 T^{12} - 11407417805174 T^{13} + 694969702784744 T^{14} + 137663817596197 T^{15} + 23221450820152725 T^{16} + 11809766417106243 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 7 T + 479 T^{2} + 2779 T^{3} + 120964 T^{4} + 619472 T^{5} + 20137369 T^{6} + 89986442 T^{7} + 2413665898 T^{8} + 9431458351 T^{9} + 214816264922 T^{10} + 712782607082 T^{11} + 14196220886561 T^{12} + 38867061516752 T^{13} + 675470167188836 T^{14} + 1381111007580619 T^{15} + 21186809414958391 T^{16} + 27556121639914567 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 3 T + 525 T^{2} - 277 T^{3} + 124456 T^{4} + 181814 T^{5} + 18817829 T^{6} + 49978054 T^{7} + 2121541234 T^{8} + 6001725747 T^{9} + 188817169826 T^{10} + 395876165734 T^{11} + 13265986092301 T^{12} + 11407417805174 T^{13} + 694969702784744 T^{14} - 137663817596197 T^{15} + 23221450820152725 T^{16} - 11809766417106243 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 7 T + 479 T^{2} - 2779 T^{3} + 120964 T^{4} - 619472 T^{5} + 20137369 T^{6} - 89986442 T^{7} + 2413665898 T^{8} - 9431458351 T^{9} + 214816264922 T^{10} - 712782607082 T^{11} + 14196220886561 T^{12} - 38867061516752 T^{13} + 675470167188836 T^{14} - 1381111007580619 T^{15} + 21186809414958391 T^{16} - 27556121639914567 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 42 T + 1593 T^{2} + 41936 T^{3} + 993937 T^{4} + 19736304 T^{5} + 359135691 T^{6} + 5808335060 T^{7} + 87209038355 T^{8} + 1194457208864 T^{9} + 15313897036891 T^{10} + 181455580095158 T^{11} + 2022398357789019 T^{12} + 20964891685313436 T^{13} + 204883026258954690 T^{14} + 1865875359992895804 T^{15} + 16019417392046819499 T^{16} + \)\(12\!\cdots\!02\)\( T^{17} + \)\(96\!\cdots\!31\)\( T^{18} + \)\(66\!\cdots\!36\)\( T^{19} + \)\(43\!\cdots\!55\)\( T^{20} + \)\(25\!\cdots\!40\)\( T^{21} + \)\(14\!\cdots\!71\)\( T^{22} + \)\(69\!\cdots\!36\)\( T^{23} + \)\(30\!\cdots\!37\)\( T^{24} + \)\(11\!\cdots\!04\)\( T^{25} + \)\(39\!\cdots\!53\)\( T^{26} + \)\(92\!\cdots\!98\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 42 T + 1593 T^{2} - 41936 T^{3} + 993937 T^{4} - 19736304 T^{5} + 359135691 T^{6} - 5808335060 T^{7} + 87209038355 T^{8} - 1194457208864 T^{9} + 15313897036891 T^{10} - 181455580095158 T^{11} + 2022398357789019 T^{12} - 20964891685313436 T^{13} + 204883026258954690 T^{14} - 1865875359992895804 T^{15} + 16019417392046819499 T^{16} - \)\(12\!\cdots\!02\)\( T^{17} + \)\(96\!\cdots\!31\)\( T^{18} - \)\(66\!\cdots\!36\)\( T^{19} + \)\(43\!\cdots\!55\)\( T^{20} - \)\(25\!\cdots\!40\)\( T^{21} + \)\(14\!\cdots\!71\)\( T^{22} - \)\(69\!\cdots\!36\)\( T^{23} + \)\(30\!\cdots\!37\)\( T^{24} - \)\(11\!\cdots\!04\)\( T^{25} + \)\(39\!\cdots\!53\)\( T^{26} - \)\(92\!\cdots\!98\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 + 17 T + 679 T^{2} + 9599 T^{3} + 219335 T^{4} + 2729749 T^{5} + 47674356 T^{6} + 542231109 T^{7} + 8092228469 T^{8} + 85527594830 T^{9} + 1139320889102 T^{10} + 11222309638071 T^{11} + 135880232613424 T^{12} + 1247982004810988 T^{13} + 13921293878358018 T^{14} + 119355252984263978 T^{15} + 1238995155173863602 T^{16} + 9885265460107835948 T^{17} + 95791351705252903856 T^{18} + \)\(70\!\cdots\!11\)\( T^{19} + \)\(63\!\cdots\!98\)\( T^{20} + \)\(42\!\cdots\!30\)\( T^{21} + \)\(35\!\cdots\!01\)\( T^{22} + \)\(21\!\cdots\!29\)\( T^{23} + \)\(16\!\cdots\!04\)\( T^{24} + \)\(85\!\cdots\!49\)\( T^{25} + \)\(60\!\cdots\!15\)\( T^{26} + \)\(23\!\cdots\!79\)\( T^{27} + \)\(14\!\cdots\!51\)\( T^{28} + \)\(33\!\cdots\!97\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 - 9 T + 747 T^{2} - 5339 T^{3} + 272131 T^{4} - 1557607 T^{5} + 65504244 T^{6} - 302741631 T^{7} + 11861869817 T^{8} - 45084782858 T^{9} + 1732396884880 T^{10} - 5582287038827 T^{11} + 211684493418226 T^{12} - 599702775189174 T^{13} + 22009129743493162 T^{14} - 56775181330808246 T^{15} + 1958812547170891418 T^{16} - 4750245682273447254 T^{17} + \)\(14\!\cdots\!94\)\( T^{18} - \)\(35\!\cdots\!07\)\( T^{19} + \)\(96\!\cdots\!20\)\( T^{20} - \)\(22\!\cdots\!38\)\( T^{21} + \)\(52\!\cdots\!93\)\( T^{22} - \)\(11\!\cdots\!11\)\( T^{23} + \)\(22\!\cdots\!96\)\( T^{24} - \)\(48\!\cdots\!07\)\( T^{25} + \)\(75\!\cdots\!59\)\( T^{26} - \)\(13\!\cdots\!19\)\( T^{27} + \)\(16\!\cdots\!43\)\( T^{28} - \)\(17\!\cdots\!69\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 - 17 T + 679 T^{2} - 9599 T^{3} + 219335 T^{4} - 2729749 T^{5} + 47674356 T^{6} - 542231109 T^{7} + 8092228469 T^{8} - 85527594830 T^{9} + 1139320889102 T^{10} - 11222309638071 T^{11} + 135880232613424 T^{12} - 1247982004810988 T^{13} + 13921293878358018 T^{14} - 119355252984263978 T^{15} + 1238995155173863602 T^{16} - 9885265460107835948 T^{17} + 95791351705252903856 T^{18} - \)\(70\!\cdots\!11\)\( T^{19} + \)\(63\!\cdots\!98\)\( T^{20} - \)\(42\!\cdots\!30\)\( T^{21} + \)\(35\!\cdots\!01\)\( T^{22} - \)\(21\!\cdots\!29\)\( T^{23} + \)\(16\!\cdots\!04\)\( T^{24} - \)\(85\!\cdots\!49\)\( T^{25} + \)\(60\!\cdots\!15\)\( T^{26} - \)\(23\!\cdots\!79\)\( T^{27} + \)\(14\!\cdots\!51\)\( T^{28} - \)\(33\!\cdots\!97\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))(\( 1 + 9 T + 747 T^{2} + 5339 T^{3} + 272131 T^{4} + 1557607 T^{5} + 65504244 T^{6} + 302741631 T^{7} + 11861869817 T^{8} + 45084782858 T^{9} + 1732396884880 T^{10} + 5582287038827 T^{11} + 211684493418226 T^{12} + 599702775189174 T^{13} + 22009129743493162 T^{14} + 56775181330808246 T^{15} + 1958812547170891418 T^{16} + 4750245682273447254 T^{17} + \)\(14\!\cdots\!94\)\( T^{18} + \)\(35\!\cdots\!07\)\( T^{19} + \)\(96\!\cdots\!20\)\( T^{20} + \)\(22\!\cdots\!38\)\( T^{21} + \)\(52\!\cdots\!93\)\( T^{22} + \)\(11\!\cdots\!11\)\( T^{23} + \)\(22\!\cdots\!96\)\( T^{24} + \)\(48\!\cdots\!07\)\( T^{25} + \)\(75\!\cdots\!59\)\( T^{26} + \)\(13\!\cdots\!19\)\( T^{27} + \)\(16\!\cdots\!43\)\( T^{28} + \)\(17\!\cdots\!69\)\( T^{29} + \)\(17\!\cdots\!49\)\( T^{30} \))
$97$ (\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 13 T + 233 T^{2} + 1725 T^{3} + 22601 T^{4} + 122317 T^{5} + 912673 T^{6} \))(\( 1 - 20 T + 415 T^{2} - 4112 T^{3} + 40255 T^{4} - 188180 T^{5} + 912673 T^{6} \))(\( 1 - 20 T + 407 T^{2} - 4080 T^{3} + 39479 T^{4} - 188180 T^{5} + 912673 T^{6} \))(\( 1 - 2 T + 171 T^{2} - 716 T^{3} + 16587 T^{4} - 18818 T^{5} + 912673 T^{6} \))(\( 1 - 12 T + 311 T^{2} - 2256 T^{3} + 30167 T^{4} - 112908 T^{5} + 912673 T^{6} \))(\( 1 - 12 T + 311 T^{2} - 2256 T^{3} + 30167 T^{4} - 112908 T^{5} + 912673 T^{6} \))(\( 1 - 7 T + 165 T^{2} - 1645 T^{3} + 16005 T^{4} - 65863 T^{5} + 912673 T^{6} \))(\( 1 + 20 T + 415 T^{2} + 4112 T^{3} + 40255 T^{4} + 188180 T^{5} + 912673 T^{6} \))(\( 1 - 9 T + 237 T^{2} - 1287 T^{3} + 22989 T^{4} - 84681 T^{5} + 912673 T^{6} \))(\( 1 - 13 T + 233 T^{2} - 1725 T^{3} + 22601 T^{4} - 122317 T^{5} + 912673 T^{6} \))(\( 1 + 20 T + 407 T^{2} + 4080 T^{3} + 39479 T^{4} + 188180 T^{5} + 912673 T^{6} \))(\( 1 + 2 T + 171 T^{2} + 716 T^{3} + 16587 T^{4} + 18818 T^{5} + 912673 T^{6} \))(\( 1 + 27 T + 477 T^{2} + 5321 T^{3} + 46269 T^{4} + 254043 T^{5} + 912673 T^{6} \))(\( 1 + 12 T + 311 T^{2} + 2256 T^{3} + 30167 T^{4} + 112908 T^{5} + 912673 T^{6} \))(\( 1 + 12 T + 311 T^{2} + 2256 T^{3} + 30167 T^{4} + 112908 T^{5} + 912673 T^{6} \))(\( 1 - 2 T + 88 T^{2} + 826 T^{3} + 7006 T^{4} + 80122 T^{5} + 827992 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 21 T + 260 T^{2} - 1858 T^{3} + 14620 T^{4} - 180226 T^{5} + 2446340 T^{6} - 19166133 T^{7} + 88529281 T^{8} \))(\( 1 + 2 T + 88 T^{2} - 826 T^{3} + 7006 T^{4} - 80122 T^{5} + 827992 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 4 T + 30 T^{2} + 1692 T^{3} - 97 T^{4} - 26392 T^{5} + 2392900 T^{6} - 2560024 T^{7} - 912673 T^{8} + 1544242716 T^{9} + 2655878430 T^{10} - 34349361028 T^{11} + 832972004929 T^{12} \))(\( 1 + 4 T + 30 T^{2} - 1692 T^{3} - 97 T^{4} + 26392 T^{5} + 2392900 T^{6} + 2560024 T^{7} - 912673 T^{8} - 1544242716 T^{9} + 2655878430 T^{10} + 34349361028 T^{11} + 832972004929 T^{12} \))(\( 1 - 37 T + 1115 T^{2} - 22575 T^{3} + 398679 T^{4} - 5597907 T^{5} + 70078109 T^{6} - 728630674 T^{7} + 6797576573 T^{8} - 52670706963 T^{9} + 363863558967 T^{10} - 1998548518575 T^{11} + 9574884386555 T^{12} - 30819964182373 T^{13} + 80798284478113 T^{14} \))(\( 1 + 37 T + 1115 T^{2} + 22575 T^{3} + 398679 T^{4} + 5597907 T^{5} + 70078109 T^{6} + 728630674 T^{7} + 6797576573 T^{8} + 52670706963 T^{9} + 363863558967 T^{10} + 1998548518575 T^{11} + 9574884386555 T^{12} + 30819964182373 T^{13} + 80798284478113 T^{14} \))(\( 1 - 8 T + 468 T^{2} - 3272 T^{3} + 96708 T^{4} - 632696 T^{5} + 12469996 T^{6} - 80561080 T^{7} + 1276414198 T^{8} - 7814424760 T^{9} + 117330192364 T^{10} - 577444556408 T^{11} + 8561489706948 T^{12} - 28097777320904 T^{13} + 389830898306772 T^{14} - 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 8 T + 468 T^{2} + 3272 T^{3} + 96708 T^{4} + 632696 T^{5} + 12469996 T^{6} + 80561080 T^{7} + 1276414198 T^{8} + 7814424760 T^{9} + 117330192364 T^{10} + 577444556408 T^{11} + 8561489706948 T^{12} + 28097777320904 T^{13} + 389830898306772 T^{14} + 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 677 T^{2} + 39 T^{3} + 217610 T^{4} + 9629 T^{5} + 43488651 T^{6} + 982720 T^{7} + 5946774468 T^{8} + 79008975 T^{9} + 576837123396 T^{10} + 9246412480 T^{11} + 39690917574123 T^{12} + 852448446749 T^{13} + 1868691113325770 T^{14} + 32485908192231 T^{15} + 54700438591682501 T^{16} + 760231058654565217 T^{18} \))(\( 1 - 28 T + 999 T^{2} - 19299 T^{3} + 406624 T^{4} - 6045683 T^{5} + 93624447 T^{6} - 1118615148 T^{7} + 13693190854 T^{8} - 133533474823 T^{9} + 1328239512838 T^{10} - 10525049927532 T^{11} + 85448504916831 T^{12} - 535219969143923 T^{13} + 3491818644662368 T^{14} - 16075526723124771 T^{15} + 80717486193634887 T^{16} - 219448140642554908 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 677 T^{2} - 39 T^{3} + 217610 T^{4} - 9629 T^{5} + 43488651 T^{6} - 982720 T^{7} + 5946774468 T^{8} - 79008975 T^{9} + 576837123396 T^{10} - 9246412480 T^{11} + 39690917574123 T^{12} - 852448446749 T^{13} + 1868691113325770 T^{14} - 32485908192231 T^{15} + 54700438591682501 T^{16} + 760231058654565217 T^{18} \))(\( 1 + 28 T + 999 T^{2} + 19299 T^{3} + 406624 T^{4} + 6045683 T^{5} + 93624447 T^{6} + 1118615148 T^{7} + 13693190854 T^{8} + 133533474823 T^{9} + 1328239512838 T^{10} + 10525049927532 T^{11} + 85448504916831 T^{12} + 535219969143923 T^{13} + 3491818644662368 T^{14} + 16075526723124771 T^{15} + 80717486193634887 T^{16} + 219448140642554908 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 40 T + 1250 T^{2} + 25448 T^{3} + 452443 T^{4} + 6289104 T^{5} + 83353972 T^{6} + 956222160 T^{7} + 11650677545 T^{8} + 129911125144 T^{9} + 1555111218494 T^{10} + 16350784238808 T^{11} + 178755380165627 T^{12} + 1715719482838880 T^{13} + 17771700065183448 T^{14} + 166424789835371360 T^{15} + 1681909371978384443 T^{16} + 14922919303585613784 T^{17} + \)\(13\!\cdots\!14\)\( T^{18} + \)\(11\!\cdots\!08\)\( T^{19} + \)\(97\!\cdots\!05\)\( T^{20} + \)\(77\!\cdots\!80\)\( T^{21} + \)\(65\!\cdots\!92\)\( T^{22} + \)\(47\!\cdots\!68\)\( T^{23} + \)\(33\!\cdots\!07\)\( T^{24} + \)\(18\!\cdots\!44\)\( T^{25} + \)\(86\!\cdots\!50\)\( T^{26} + \)\(26\!\cdots\!80\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 40 T + 1250 T^{2} - 25448 T^{3} + 452443 T^{4} - 6289104 T^{5} + 83353972 T^{6} - 956222160 T^{7} + 11650677545 T^{8} - 129911125144 T^{9} + 1555111218494 T^{10} - 16350784238808 T^{11} + 178755380165627 T^{12} - 1715719482838880 T^{13} + 17771700065183448 T^{14} - 166424789835371360 T^{15} + 1681909371978384443 T^{16} - 14922919303585613784 T^{17} + \)\(13\!\cdots\!14\)\( T^{18} - \)\(11\!\cdots\!08\)\( T^{19} + \)\(97\!\cdots\!05\)\( T^{20} - \)\(77\!\cdots\!80\)\( T^{21} + \)\(65\!\cdots\!92\)\( T^{22} - \)\(47\!\cdots\!68\)\( T^{23} + \)\(33\!\cdots\!07\)\( T^{24} - \)\(18\!\cdots\!44\)\( T^{25} + \)\(86\!\cdots\!50\)\( T^{26} - \)\(26\!\cdots\!80\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 + 18 T + 737 T^{2} + 9527 T^{3} + 235387 T^{4} + 2325107 T^{5} + 46199820 T^{6} + 350376619 T^{7} + 6508656415 T^{8} + 36133905976 T^{9} + 730251623140 T^{10} + 2686190101263 T^{11} + 72231639365380 T^{12} + 159682855723555 T^{13} + 6905082713915792 T^{14} + 11321373015595230 T^{15} + 669793023249831824 T^{16} + 1502455989502928995 T^{17} + 65923866994519460740 T^{18} + \)\(23\!\cdots\!03\)\( T^{19} + \)\(62\!\cdots\!80\)\( T^{20} + \)\(30\!\cdots\!04\)\( T^{21} + \)\(52\!\cdots\!95\)\( T^{22} + \)\(27\!\cdots\!59\)\( T^{23} + \)\(35\!\cdots\!40\)\( T^{24} + \)\(17\!\cdots\!43\)\( T^{25} + \)\(16\!\cdots\!11\)\( T^{26} + \)\(66\!\cdots\!07\)\( T^{27} + \)\(49\!\cdots\!49\)\( T^{28} + \)\(11\!\cdots\!42\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 + 28 T + 959 T^{2} + 17589 T^{3} + 379563 T^{4} + 5609853 T^{5} + 96558746 T^{6} + 1231421191 T^{7} + 18269015425 T^{8} + 208255552962 T^{9} + 2778530675750 T^{10} + 28939827319133 T^{11} + 355153569229840 T^{12} + 3427895425635189 T^{13} + 39256742717577892 T^{14} + 354555704524155502 T^{15} + 3807904043605055524 T^{16} + 32253068059801493301 T^{17} + \)\(32\!\cdots\!20\)\( T^{18} + \)\(25\!\cdots\!73\)\( T^{19} + \)\(23\!\cdots\!50\)\( T^{20} + \)\(17\!\cdots\!98\)\( T^{21} + \)\(14\!\cdots\!25\)\( T^{22} + \)\(96\!\cdots\!51\)\( T^{23} + \)\(73\!\cdots\!82\)\( T^{24} + \)\(41\!\cdots\!97\)\( T^{25} + \)\(27\!\cdots\!39\)\( T^{26} + \)\(12\!\cdots\!49\)\( T^{27} + \)\(64\!\cdots\!43\)\( T^{28} + \)\(18\!\cdots\!32\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 - 18 T + 737 T^{2} - 9527 T^{3} + 235387 T^{4} - 2325107 T^{5} + 46199820 T^{6} - 350376619 T^{7} + 6508656415 T^{8} - 36133905976 T^{9} + 730251623140 T^{10} - 2686190101263 T^{11} + 72231639365380 T^{12} - 159682855723555 T^{13} + 6905082713915792 T^{14} - 11321373015595230 T^{15} + 669793023249831824 T^{16} - 1502455989502928995 T^{17} + 65923866994519460740 T^{18} - \)\(23\!\cdots\!03\)\( T^{19} + \)\(62\!\cdots\!80\)\( T^{20} - \)\(30\!\cdots\!04\)\( T^{21} + \)\(52\!\cdots\!95\)\( T^{22} - \)\(27\!\cdots\!59\)\( T^{23} + \)\(35\!\cdots\!40\)\( T^{24} - \)\(17\!\cdots\!43\)\( T^{25} + \)\(16\!\cdots\!11\)\( T^{26} - \)\(66\!\cdots\!07\)\( T^{27} + \)\(49\!\cdots\!49\)\( T^{28} - \)\(11\!\cdots\!42\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))(\( 1 - 28 T + 959 T^{2} - 17589 T^{3} + 379563 T^{4} - 5609853 T^{5} + 96558746 T^{6} - 1231421191 T^{7} + 18269015425 T^{8} - 208255552962 T^{9} + 2778530675750 T^{10} - 28939827319133 T^{11} + 355153569229840 T^{12} - 3427895425635189 T^{13} + 39256742717577892 T^{14} - 354555704524155502 T^{15} + 3807904043605055524 T^{16} - 32253068059801493301 T^{17} + \)\(32\!\cdots\!20\)\( T^{18} - \)\(25\!\cdots\!73\)\( T^{19} + \)\(23\!\cdots\!50\)\( T^{20} - \)\(17\!\cdots\!98\)\( T^{21} + \)\(14\!\cdots\!25\)\( T^{22} - \)\(96\!\cdots\!51\)\( T^{23} + \)\(73\!\cdots\!82\)\( T^{24} - \)\(41\!\cdots\!97\)\( T^{25} + \)\(27\!\cdots\!39\)\( T^{26} - \)\(12\!\cdots\!49\)\( T^{27} + \)\(64\!\cdots\!43\)\( T^{28} - \)\(18\!\cdots\!32\)\( T^{29} + \)\(63\!\cdots\!93\)\( T^{30} \))
show more
show less