Properties

Label 6048.2.a
Level 6048
Weight 2
Character orbit a
Rep. character \(\chi_{6048}(1,\cdot)\)
Character field \(\Q\)
Dimension 96
Newform subspaces 48
Sturm bound 2304
Trace bound 13

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 6048 = 2^{5} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6048.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 48 \)
Sturm bound: \(2304\)
Trace bound: \(13\)
Distinguishing \(T_p\): \(5\), \(11\), \(13\), \(17\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(6048))\).

Total New Old
Modular forms 1200 96 1104
Cusp forms 1105 96 1009
Eisenstein series 95 0 95

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

\(2\)\(3\)\(7\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(11\)
\(+\)\(+\)\(-\)\(-\)\(13\)
\(+\)\(-\)\(+\)\(-\)\(13\)
\(+\)\(-\)\(-\)\(+\)\(11\)
\(-\)\(+\)\(+\)\(-\)\(13\)
\(-\)\(+\)\(-\)\(+\)\(11\)
\(-\)\(-\)\(+\)\(+\)\(11\)
\(-\)\(-\)\(-\)\(-\)\(13\)
Plus space\(+\)\(44\)
Minus space\(-\)\(52\)

Trace form

\( 96q + O(q^{10}) \) \( 96q + 96q^{25} - 64q^{37} + 96q^{49} - 64q^{61} - 48q^{85} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(6048))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 7
6048.2.a.a \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(-\) \(+\) \(q-3q^{5}-q^{7}-2q^{11}-4q^{13}+5q^{17}+\cdots\)
6048.2.a.b \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) \(+\) \(+\) \(+\) \(q-3q^{5}-q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.c \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-3\) \(1\) \(+\) \(-\) \(-\) \(q-3q^{5}+q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.d \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-3\) \(1\) \(-\) \(+\) \(-\) \(q-3q^{5}+q^{7}+2q^{11}-4q^{13}+5q^{17}+\cdots\)
6048.2.a.e \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{5}-q^{7}-3q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.f \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{5}-q^{7}-2q^{11}-q^{17}+4q^{19}+\cdots\)
6048.2.a.g \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{5}-q^{7}+2q^{11}+4q^{13}+3q^{17}+\cdots\)
6048.2.a.h \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(1\) \(+\) \(-\) \(-\) \(q-q^{5}+q^{7}-2q^{11}+4q^{13}+3q^{17}+\cdots\)
6048.2.a.i \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(1\) \(+\) \(-\) \(-\) \(q-q^{5}+q^{7}+2q^{11}-q^{17}-4q^{19}+\cdots\)
6048.2.a.j \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(-1\) \(1\) \(-\) \(-\) \(-\) \(q-q^{5}+q^{7}+3q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.k \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q-q^{7}-4q^{11}+q^{13}+5q^{17}+2q^{19}+\cdots\)
6048.2.a.l \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{7}+4q^{11}+q^{13}-5q^{17}+2q^{19}+\cdots\)
6048.2.a.m \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{7}-4q^{11}+q^{13}-5q^{17}-2q^{19}+\cdots\)
6048.2.a.n \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+q^{7}+4q^{11}+q^{13}+5q^{17}-2q^{19}+\cdots\)
6048.2.a.o \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(-\) \(+\) \(q+q^{5}-q^{7}-2q^{11}+4q^{13}-3q^{17}+\cdots\)
6048.2.a.p \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{5}-q^{7}+2q^{11}+q^{17}+4q^{19}+\cdots\)
6048.2.a.q \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(+\) \(+\) \(q+q^{5}-q^{7}+3q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.r \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(+\) \(-\) \(-\) \(q+q^{5}+q^{7}-3q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.s \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(+\) \(-\) \(q+q^{5}+q^{7}-2q^{11}+q^{17}-4q^{19}+\cdots\)
6048.2.a.t \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(+\) \(-\) \(q+q^{5}+q^{7}+2q^{11}+4q^{13}-3q^{17}+\cdots\)
6048.2.a.u \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(3\) \(-1\) \(-\) \(+\) \(+\) \(q+3q^{5}-q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.v \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(3\) \(-1\) \(+\) \(+\) \(+\) \(q+3q^{5}-q^{7}+2q^{11}-4q^{13}-5q^{17}+\cdots\)
6048.2.a.w \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(3\) \(1\) \(+\) \(-\) \(-\) \(q+3q^{5}+q^{7}-2q^{11}-4q^{13}-5q^{17}+\cdots\)
6048.2.a.x \(1\) \(48.294\) \(\Q\) None \(0\) \(0\) \(3\) \(1\) \(-\) \(-\) \(-\) \(q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.y \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(q+(-1+\beta )q^{5}-q^{7}+(-2-\beta )q^{11}+\cdots\)
6048.2.a.z \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(-\) \(+\) \(q+(-1+\beta )q^{5}-q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots\)
6048.2.a.ba \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{5}+q^{7}+(-1+\beta )q^{11}+\cdots\)
6048.2.a.bb \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) \(-\) \(-\) \(-\) \(q+(-1+\beta )q^{5}+q^{7}+(2+\beta )q^{11}+\beta q^{13}+\cdots\)
6048.2.a.bc \(2\) \(48.294\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-1\) \(-2\) \(-\) \(+\) \(+\) \(q-\beta q^{5}-q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bd \(2\) \(48.294\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-1\) \(2\) \(+\) \(-\) \(-\) \(q-\beta q^{5}+q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.be \(2\) \(48.294\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(1\) \(-2\) \(+\) \(-\) \(+\) \(q+\beta q^{5}-q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bf \(2\) \(48.294\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(1\) \(2\) \(-\) \(+\) \(-\) \(q+\beta q^{5}+q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bg \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
6048.2.a.bh \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{5}-q^{7}+(2-\beta )q^{11}-\beta q^{13}+\cdots\)
6048.2.a.bi \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{5}+q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots\)
6048.2.a.bj \(2\) \(48.294\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
6048.2.a.bk \(4\) \(48.294\) 4.4.39528.1 None \(0\) \(0\) \(-2\) \(-4\) \(+\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bl \(4\) \(48.294\) 4.4.25808.1 None \(0\) \(0\) \(-2\) \(-4\) \(-\) \(+\) \(+\) \(q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots\)
6048.2.a.bm \(4\) \(48.294\) 4.4.22896.1 None \(0\) \(0\) \(-2\) \(-4\) \(-\) \(-\) \(+\) \(q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bn \(4\) \(48.294\) 4.4.25808.1 None \(0\) \(0\) \(-2\) \(4\) \(+\) \(-\) \(-\) \(q+(-1-\beta _{2})q^{5}+q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.bo \(4\) \(48.294\) 4.4.22896.1 None \(0\) \(0\) \(-2\) \(4\) \(-\) \(+\) \(-\) \(q+\beta _{2}q^{5}+q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bp \(4\) \(48.294\) 4.4.39528.1 None \(0\) \(0\) \(-2\) \(4\) \(+\) \(+\) \(-\) \(q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bq \(4\) \(48.294\) 4.4.25808.1 None \(0\) \(0\) \(2\) \(-4\) \(+\) \(+\) \(+\) \(q+(1+\beta _{2})q^{5}-q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.br \(4\) \(48.294\) 4.4.22896.1 None \(0\) \(0\) \(2\) \(-4\) \(+\) \(-\) \(+\) \(q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bs \(4\) \(48.294\) 4.4.39528.1 None \(0\) \(0\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bt \(4\) \(48.294\) 4.4.39528.1 None \(0\) \(0\) \(2\) \(4\) \(-\) \(-\) \(-\) \(q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bu \(4\) \(48.294\) 4.4.25808.1 None \(0\) \(0\) \(2\) \(4\) \(-\) \(-\) \(-\) \(q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots\)
6048.2.a.bv \(4\) \(48.294\) 4.4.22896.1 None \(0\) \(0\) \(2\) \(4\) \(+\) \(+\) \(-\) \(q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(6048))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(6048)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(27))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(36))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(54))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(63))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(72))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(108))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(126))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(144))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(189))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(216))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(224))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(252))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(288))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(378))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(432))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(504))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(672))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(756))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(864))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1008))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1512))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2016))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3024))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ 1
$3$ 1
$5$ (\( 1 + 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T + 9 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T + 9 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + T + 6 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + T + 6 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T + 6 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - T + 6 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 18 T^{3} + 48 T^{4} + 90 T^{5} + 125 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 20 T^{3} + 57 T^{4} + 100 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 24 T^{3} + 33 T^{4} + 120 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 20 T^{3} + 57 T^{4} + 100 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 24 T^{3} + 33 T^{4} + 120 T^{5} + 200 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 18 T^{3} + 48 T^{4} + 90 T^{5} + 125 T^{6} + 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 20 T^{3} + 57 T^{4} - 100 T^{5} + 200 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 24 T^{3} + 33 T^{4} - 120 T^{5} + 200 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 5 T^{2} - 18 T^{3} + 48 T^{4} - 90 T^{5} + 125 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 5 T^{2} - 18 T^{3} + 48 T^{4} - 90 T^{5} + 125 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 20 T^{3} + 57 T^{4} - 100 T^{5} + 200 T^{6} - 250 T^{7} + 625 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 24 T^{3} + 33 T^{4} - 120 T^{5} + 200 T^{6} - 250 T^{7} + 625 T^{8} \))
$7$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))
$11$ (\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 8 T^{2} + 16 T^{3} + 126 T^{4} + 176 T^{5} + 968 T^{6} + 14641 T^{8} \))(\( 1 - 2 T + 12 T^{2} + 48 T^{3} - 51 T^{4} + 528 T^{5} + 1452 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 - 2 T + 20 T^{2} + 20 T^{3} + 125 T^{4} + 220 T^{5} + 2420 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 12 T^{2} - 48 T^{3} - 51 T^{4} - 528 T^{5} + 1452 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 20 T^{2} - 20 T^{3} + 125 T^{4} - 220 T^{5} + 2420 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 8 T^{2} - 16 T^{3} + 126 T^{4} - 176 T^{5} + 968 T^{6} + 14641 T^{8} \))(\( 1 + 2 T + 12 T^{2} - 48 T^{3} - 51 T^{4} - 528 T^{5} + 1452 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 20 T^{2} - 20 T^{3} + 125 T^{4} - 220 T^{5} + 2420 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 8 T^{2} - 16 T^{3} + 126 T^{4} - 176 T^{5} + 968 T^{6} + 14641 T^{8} \))(\( 1 + 8 T^{2} + 16 T^{3} + 126 T^{4} + 176 T^{5} + 968 T^{6} + 14641 T^{8} \))(\( 1 - 2 T + 12 T^{2} + 48 T^{3} - 51 T^{4} + 528 T^{5} + 1452 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 - 2 T + 20 T^{2} + 20 T^{3} + 125 T^{4} + 220 T^{5} + 2420 T^{6} - 2662 T^{7} + 14641 T^{8} \))
$13$ (\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 9 T + 42 T^{2} + 117 T^{3} + 169 T^{4} \))(\( 1 + 9 T + 42 T^{2} + 117 T^{3} + 169 T^{4} \))(\( 1 + 9 T + 42 T^{2} + 117 T^{3} + 169 T^{4} \))(\( 1 + 9 T + 42 T^{2} + 117 T^{3} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 - 8 T + 31 T^{2} - 128 T^{3} + 556 T^{4} - 1664 T^{5} + 5239 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 12 T^{2} - 20 T^{3} - 58 T^{4} - 260 T^{5} + 2028 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 16 T^{2} - 32 T^{3} + 126 T^{4} - 416 T^{5} + 2704 T^{6} + 28561 T^{8} \))(\( 1 + 4 T + 12 T^{2} - 20 T^{3} - 58 T^{4} - 260 T^{5} + 2028 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 16 T^{2} - 32 T^{3} + 126 T^{4} - 416 T^{5} + 2704 T^{6} + 28561 T^{8} \))(\( 1 - 8 T + 31 T^{2} - 128 T^{3} + 556 T^{4} - 1664 T^{5} + 5239 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 12 T^{2} - 20 T^{3} - 58 T^{4} - 260 T^{5} + 2028 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 16 T^{2} - 32 T^{3} + 126 T^{4} - 416 T^{5} + 2704 T^{6} + 28561 T^{8} \))(\( 1 - 8 T + 31 T^{2} - 128 T^{3} + 556 T^{4} - 1664 T^{5} + 5239 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 31 T^{2} - 128 T^{3} + 556 T^{4} - 1664 T^{5} + 5239 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 12 T^{2} - 20 T^{3} - 58 T^{4} - 260 T^{5} + 2028 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 16 T^{2} - 32 T^{3} + 126 T^{4} - 416 T^{5} + 2704 T^{6} + 28561 T^{8} \))
$17$ (\( 1 - 5 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 + 17 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 2 T + 20 T^{2} - 52 T^{3} + 13 T^{4} - 884 T^{5} + 5780 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 694 T^{4} + 2108 T^{5} + 10404 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 44 T^{2} + 184 T^{3} + 854 T^{4} + 3128 T^{5} + 12716 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 694 T^{4} + 2108 T^{5} + 10404 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 44 T^{2} + 184 T^{3} + 854 T^{4} + 3128 T^{5} + 12716 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 20 T^{2} - 52 T^{3} + 13 T^{4} - 884 T^{5} + 5780 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 36 T^{2} - 124 T^{3} + 694 T^{4} - 2108 T^{5} + 10404 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 184 T^{3} + 854 T^{4} - 3128 T^{5} + 12716 T^{6} - 39304 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 20 T^{2} + 52 T^{3} + 13 T^{4} + 884 T^{5} + 5780 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 20 T^{2} + 52 T^{3} + 13 T^{4} + 884 T^{5} + 5780 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 36 T^{2} - 124 T^{3} + 694 T^{4} - 2108 T^{5} + 10404 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 184 T^{3} + 854 T^{4} - 3128 T^{5} + 12716 T^{6} - 39304 T^{7} + 83521 T^{8} \))
$19$ (\( 1 + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 8 T + 46 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 31 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 31 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 46 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 31 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 46 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 46 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 31 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 64 T^{2} + 360 T^{3} + 1806 T^{4} + 6840 T^{5} + 23104 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 26 T^{2} + 40 T^{3} + 3 T^{4} + 760 T^{5} + 9386 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 34 T^{2} - 72 T^{3} + 699 T^{4} - 1368 T^{5} + 12274 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 + 4 T + 26 T^{2} - 40 T^{3} + 3 T^{4} - 760 T^{5} + 9386 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 + 4 T + 34 T^{2} + 72 T^{3} + 699 T^{4} + 1368 T^{5} + 12274 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 64 T^{2} - 360 T^{3} + 1806 T^{4} - 6840 T^{5} + 23104 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 26 T^{2} + 40 T^{3} + 3 T^{4} + 760 T^{5} + 9386 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 4 T + 34 T^{2} - 72 T^{3} + 699 T^{4} - 1368 T^{5} + 12274 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 + 8 T + 64 T^{2} + 360 T^{3} + 1806 T^{4} + 6840 T^{5} + 23104 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 64 T^{2} - 360 T^{3} + 1806 T^{4} - 6840 T^{5} + 23104 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 + 4 T + 26 T^{2} - 40 T^{3} + 3 T^{4} - 760 T^{5} + 9386 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 + 4 T + 34 T^{2} + 72 T^{3} + 699 T^{4} + 1368 T^{5} + 12274 T^{6} + 27436 T^{7} + 130321 T^{8} \))
$23$ (\( 1 - 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( 1 + 5 T + 14 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 + 5 T + 14 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 47 T^{2} - 128 T^{3} + 1008 T^{4} - 2944 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 - 10 T + 96 T^{2} - 576 T^{3} + 3385 T^{4} - 13248 T^{5} + 50784 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 4 T^{3} + 761 T^{4} - 92 T^{5} + 4232 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 + 10 T + 96 T^{2} + 576 T^{3} + 3385 T^{4} + 13248 T^{5} + 50784 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 4 T^{3} + 761 T^{4} + 92 T^{5} + 4232 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 47 T^{2} + 128 T^{3} + 1008 T^{4} + 2944 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 + 10 T + 96 T^{2} + 576 T^{3} + 3385 T^{4} + 13248 T^{5} + 50784 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 8 T^{2} + 4 T^{3} + 761 T^{4} + 92 T^{5} + 4232 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 47 T^{2} + 128 T^{3} + 1008 T^{4} + 2944 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 + 47 T^{2} - 128 T^{3} + 1008 T^{4} - 2944 T^{5} + 24863 T^{6} + 279841 T^{8} \))(\( 1 - 10 T + 96 T^{2} - 576 T^{3} + 3385 T^{4} - 13248 T^{5} + 50784 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 - 2 T + 8 T^{2} - 4 T^{3} + 761 T^{4} - 92 T^{5} + 4232 T^{6} - 24334 T^{7} + 279841 T^{8} \))
$29$ (\( 1 - 4 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 15 T + 110 T^{2} + 435 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 110 T^{2} + 435 T^{3} + 841 T^{4} \))(\( 1 - 15 T + 110 T^{2} - 435 T^{3} + 841 T^{4} \))(\( 1 - 15 T + 110 T^{2} - 435 T^{3} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 6 T + 113 T^{2} + 490 T^{3} + 4896 T^{4} + 14210 T^{5} + 95033 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 - 4 T + 76 T^{2} - 172 T^{3} + 2694 T^{4} - 4988 T^{5} + 63916 T^{6} - 97556 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 80 T^{2} + 296 T^{3} + 2206 T^{4} + 8584 T^{5} + 67280 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 - 4 T + 76 T^{2} - 172 T^{3} + 2694 T^{4} - 4988 T^{5} + 63916 T^{6} - 97556 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 80 T^{2} + 296 T^{3} + 2206 T^{4} + 8584 T^{5} + 67280 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 113 T^{2} + 490 T^{3} + 4896 T^{4} + 14210 T^{5} + 95033 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 76 T^{2} + 172 T^{3} + 2694 T^{4} + 4988 T^{5} + 63916 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 80 T^{2} - 296 T^{3} + 2206 T^{4} - 8584 T^{5} + 67280 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 113 T^{2} - 490 T^{3} + 4896 T^{4} - 14210 T^{5} + 95033 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 - 6 T + 113 T^{2} - 490 T^{3} + 4896 T^{4} - 14210 T^{5} + 95033 T^{6} - 146334 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 76 T^{2} + 172 T^{3} + 2694 T^{4} + 4988 T^{5} + 63916 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 80 T^{2} - 296 T^{3} + 2206 T^{4} - 8584 T^{5} + 67280 T^{6} - 195112 T^{7} + 707281 T^{8} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 9 T + 31 T^{2} \))(\( 1 + 9 T + 31 T^{2} \))(\( 1 - 9 T + 31 T^{2} \))(\( 1 - 9 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 8 T + 70 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 2 T + 31 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 31 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + T + 58 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 - T + 58 T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 + T + 58 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 - T + 58 T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 - 2 T + 31 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 31 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 121 T^{2} + 526 T^{3} + 5604 T^{4} + 16306 T^{5} + 116281 T^{6} + 178746 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 94 T^{2} + 392 T^{3} + 3303 T^{4} + 12152 T^{5} + 90334 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 4 T + 70 T^{2} + 448 T^{3} + 2407 T^{4} + 13888 T^{5} + 67270 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 94 T^{2} - 392 T^{3} + 3303 T^{4} - 12152 T^{5} + 90334 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 4 T + 70 T^{2} - 448 T^{3} + 2407 T^{4} - 13888 T^{5} + 67270 T^{6} - 119164 T^{7} + 923521 T^{8} \))(\( 1 - 6 T + 121 T^{2} - 526 T^{3} + 5604 T^{4} - 16306 T^{5} + 116281 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 94 T^{2} + 392 T^{3} + 3303 T^{4} + 12152 T^{5} + 90334 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 4 T + 70 T^{2} + 448 T^{3} + 2407 T^{4} + 13888 T^{5} + 67270 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 + 6 T + 121 T^{2} + 526 T^{3} + 5604 T^{4} + 16306 T^{5} + 116281 T^{6} + 178746 T^{7} + 923521 T^{8} \))(\( 1 - 6 T + 121 T^{2} - 526 T^{3} + 5604 T^{4} - 16306 T^{5} + 116281 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 94 T^{2} - 392 T^{3} + 3303 T^{4} - 12152 T^{5} + 90334 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 4 T + 70 T^{2} - 448 T^{3} + 2407 T^{4} - 13888 T^{5} + 67270 T^{6} - 119164 T^{7} + 923521 T^{8} \))
$37$ (\( 1 - T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 75 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 75 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 72 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 72 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 72 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 3 T + 72 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 75 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 75 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 97 T^{2} - 262 T^{3} + 3804 T^{4} - 9694 T^{5} + 132793 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 62 T^{2} - 40 T^{3} - 121 T^{4} - 1480 T^{5} + 84878 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 118 T^{2} + 344 T^{3} + 5975 T^{4} + 12728 T^{5} + 161542 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 62 T^{2} - 40 T^{3} - 121 T^{4} - 1480 T^{5} + 84878 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 118 T^{2} + 344 T^{3} + 5975 T^{4} + 12728 T^{5} + 161542 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T + 97 T^{2} - 262 T^{3} + 3804 T^{4} - 9694 T^{5} + 132793 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 62 T^{2} - 40 T^{3} - 121 T^{4} - 1480 T^{5} + 84878 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 118 T^{2} + 344 T^{3} + 5975 T^{4} + 12728 T^{5} + 161542 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T + 97 T^{2} - 262 T^{3} + 3804 T^{4} - 9694 T^{5} + 132793 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T + 97 T^{2} - 262 T^{3} + 3804 T^{4} - 9694 T^{5} + 132793 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 62 T^{2} - 40 T^{3} - 121 T^{4} - 1480 T^{5} + 84878 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 4 T + 118 T^{2} + 344 T^{3} + 5975 T^{4} + 12728 T^{5} + 161542 T^{6} + 202612 T^{7} + 1874161 T^{8} \))
$41$ (\( 1 - 7 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 2 T + 75 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 57 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 + 10 T + 57 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 - 2 T + 75 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( 1 - 19 T + 168 T^{2} - 779 T^{3} + 1681 T^{4} \))(\( 1 - 19 T + 168 T^{2} - 779 T^{3} + 1681 T^{4} \))(\( 1 + 19 T + 168 T^{2} + 779 T^{3} + 1681 T^{4} \))(\( 1 + 19 T + 168 T^{2} + 779 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 57 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 75 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 75 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 57 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( 1 - 6 T + 161 T^{2} - 698 T^{3} + 9852 T^{4} - 28618 T^{5} + 270641 T^{6} - 413526 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 108 T^{2} + 4 T^{3} + 5237 T^{4} + 164 T^{5} + 181548 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 92 T^{2} + 80 T^{3} + 4093 T^{4} + 3280 T^{5} + 154652 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 108 T^{2} + 4 T^{3} + 5237 T^{4} + 164 T^{5} + 181548 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 92 T^{2} + 80 T^{3} + 4093 T^{4} + 3280 T^{5} + 154652 T^{6} + 137842 T^{7} + 2825761 T^{8} \))(\( 1 - 6 T + 161 T^{2} - 698 T^{3} + 9852 T^{4} - 28618 T^{5} + 270641 T^{6} - 413526 T^{7} + 2825761 T^{8} \))(\( 1 - 2 T + 108 T^{2} - 4 T^{3} + 5237 T^{4} - 164 T^{5} + 181548 T^{6} - 137842 T^{7} + 2825761 T^{8} \))(\( 1 - 2 T + 92 T^{2} - 80 T^{3} + 4093 T^{4} - 3280 T^{5} + 154652 T^{6} - 137842 T^{7} + 2825761 T^{8} \))(\( 1 + 6 T + 161 T^{2} + 698 T^{3} + 9852 T^{4} + 28618 T^{5} + 270641 T^{6} + 413526 T^{7} + 2825761 T^{8} \))(\( 1 + 6 T + 161 T^{2} + 698 T^{3} + 9852 T^{4} + 28618 T^{5} + 270641 T^{6} + 413526 T^{7} + 2825761 T^{8} \))(\( 1 - 2 T + 108 T^{2} - 4 T^{3} + 5237 T^{4} - 164 T^{5} + 181548 T^{6} - 137842 T^{7} + 2825761 T^{8} \))(\( 1 - 2 T + 92 T^{2} - 80 T^{3} + 4093 T^{4} - 3280 T^{5} + 154652 T^{6} - 137842 T^{7} + 2825761 T^{8} \))
$43$ (\( 1 + 5 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 10 T + 103 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 82 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 82 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 103 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 19 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 19 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 19 T^{2} - 86 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 19 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 82 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 10 T + 103 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 103 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 82 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 2 T + 100 T^{2} + 104 T^{3} + 4469 T^{4} + 4472 T^{5} + 184900 T^{6} - 159014 T^{7} + 3418801 T^{8} \))(\( 1 + 4 T + 68 T^{2} - 220 T^{3} + 1014 T^{4} - 9460 T^{5} + 125732 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 160 T^{2} - 952 T^{3} + 10046 T^{4} - 40936 T^{5} + 295840 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 68 T^{2} + 220 T^{3} + 1014 T^{4} + 9460 T^{5} + 125732 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 160 T^{2} + 952 T^{3} + 10046 T^{4} + 40936 T^{5} + 295840 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 2 T + 100 T^{2} - 104 T^{3} + 4469 T^{4} - 4472 T^{5} + 184900 T^{6} + 159014 T^{7} + 3418801 T^{8} \))(\( 1 + 4 T + 68 T^{2} - 220 T^{3} + 1014 T^{4} - 9460 T^{5} + 125732 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 160 T^{2} - 952 T^{3} + 10046 T^{4} - 40936 T^{5} + 295840 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 2 T + 100 T^{2} + 104 T^{3} + 4469 T^{4} + 4472 T^{5} + 184900 T^{6} - 159014 T^{7} + 3418801 T^{8} \))(\( 1 + 2 T + 100 T^{2} - 104 T^{3} + 4469 T^{4} - 4472 T^{5} + 184900 T^{6} + 159014 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 68 T^{2} + 220 T^{3} + 1014 T^{4} + 9460 T^{5} + 125732 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 160 T^{2} + 952 T^{3} + 10046 T^{4} + 40936 T^{5} + 295840 T^{6} + 636056 T^{7} + 3418801 T^{8} \))
$47$ (\( 1 + T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 6 T + 71 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 98 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 71 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 92 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + 3 T + 92 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 3 T + 92 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 92 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 98 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 71 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 71 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 98 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 2 T + 41 T^{2} + 146 T^{3} + 3640 T^{4} + 6862 T^{5} + 90569 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 124 T^{2} - 1016 T^{3} + 7926 T^{4} - 47752 T^{5} + 273916 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 200 T^{2} - 1484 T^{3} + 13950 T^{4} - 69748 T^{5} + 441800 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 124 T^{2} + 1016 T^{3} + 7926 T^{4} + 47752 T^{5} + 273916 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 200 T^{2} + 1484 T^{3} + 13950 T^{4} + 69748 T^{5} + 441800 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 2 T + 41 T^{2} - 146 T^{3} + 3640 T^{4} - 6862 T^{5} + 90569 T^{6} - 207646 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 124 T^{2} + 1016 T^{3} + 7926 T^{4} + 47752 T^{5} + 273916 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 200 T^{2} + 1484 T^{3} + 13950 T^{4} + 69748 T^{5} + 441800 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 2 T + 41 T^{2} - 146 T^{3} + 3640 T^{4} - 6862 T^{5} + 90569 T^{6} - 207646 T^{7} + 4879681 T^{8} \))(\( 1 + 2 T + 41 T^{2} + 146 T^{3} + 3640 T^{4} + 6862 T^{5} + 90569 T^{6} + 207646 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 124 T^{2} - 1016 T^{3} + 7926 T^{4} - 47752 T^{5} + 273916 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 200 T^{2} - 1484 T^{3} + 13950 T^{4} - 69748 T^{5} + 441800 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))
$53$ (\( 1 - 2 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 4 T + 53 T^{2} )^{2} \))(\( ( 1 - 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( 1 - T + 68 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 - T + 68 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 + T + 68 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( 1 + T + 68 T^{2} + 53 T^{3} + 2809 T^{4} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( 1 + 6 T + 53 T^{2} - 370 T^{3} - 2412 T^{4} - 19610 T^{5} + 148877 T^{6} + 893262 T^{7} + 7890481 T^{8} \))(\( 1 + 16 T + 148 T^{2} + 1136 T^{3} + 8534 T^{4} + 60208 T^{5} + 415732 T^{6} + 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 + 4 T + 53 T^{2} )^{4} \))(\( 1 + 16 T + 148 T^{2} + 1136 T^{3} + 8534 T^{4} + 60208 T^{5} + 415732 T^{6} + 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 + 4 T + 53 T^{2} )^{4} \))(\( 1 + 6 T + 53 T^{2} - 370 T^{3} - 2412 T^{4} - 19610 T^{5} + 148877 T^{6} + 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 16 T + 148 T^{2} - 1136 T^{3} + 8534 T^{4} - 60208 T^{5} + 415732 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 - 4 T + 53 T^{2} )^{4} \))(\( 1 - 6 T + 53 T^{2} + 370 T^{3} - 2412 T^{4} + 19610 T^{5} + 148877 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T + 53 T^{2} + 370 T^{3} - 2412 T^{4} + 19610 T^{5} + 148877 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 16 T + 148 T^{2} - 1136 T^{3} + 8534 T^{4} - 60208 T^{5} + 415732 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( ( 1 - 4 T + 53 T^{2} )^{4} \))
$59$ (\( 1 - 11 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 - 11 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 11 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 - 11 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 10 T + 111 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 90 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 111 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 117 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 117 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 117 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 117 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 111 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 111 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 90 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 170 T^{2} + 32 T^{3} + 13899 T^{4} + 1888 T^{5} + 591770 T^{6} + 12117361 T^{8} \))(\( 1 - 24 T + 348 T^{2} - 3464 T^{3} + 29158 T^{4} - 204376 T^{5} + 1211388 T^{6} - 4929096 T^{7} + 12117361 T^{8} \))(\( 1 - 12 T + 248 T^{2} - 1916 T^{3} + 21870 T^{4} - 113044 T^{5} + 863288 T^{6} - 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 24 T + 348 T^{2} + 3464 T^{3} + 29158 T^{4} + 204376 T^{5} + 1211388 T^{6} + 4929096 T^{7} + 12117361 T^{8} \))(\( 1 + 12 T + 248 T^{2} + 1916 T^{3} + 21870 T^{4} + 113044 T^{5} + 863288 T^{6} + 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 170 T^{2} - 32 T^{3} + 13899 T^{4} - 1888 T^{5} + 591770 T^{6} + 12117361 T^{8} \))(\( 1 + 24 T + 348 T^{2} + 3464 T^{3} + 29158 T^{4} + 204376 T^{5} + 1211388 T^{6} + 4929096 T^{7} + 12117361 T^{8} \))(\( 1 + 12 T + 248 T^{2} + 1916 T^{3} + 21870 T^{4} + 113044 T^{5} + 863288 T^{6} + 2464548 T^{7} + 12117361 T^{8} \))(\( 1 + 170 T^{2} - 32 T^{3} + 13899 T^{4} - 1888 T^{5} + 591770 T^{6} + 12117361 T^{8} \))(\( 1 + 170 T^{2} + 32 T^{3} + 13899 T^{4} + 1888 T^{5} + 591770 T^{6} + 12117361 T^{8} \))(\( 1 - 24 T + 348 T^{2} - 3464 T^{3} + 29158 T^{4} - 204376 T^{5} + 1211388 T^{6} - 4929096 T^{7} + 12117361 T^{8} \))(\( 1 - 12 T + 248 T^{2} - 1916 T^{3} + 21870 T^{4} - 113044 T^{5} + 863288 T^{6} - 2464548 T^{7} + 12117361 T^{8} \))
$61$ (\( 1 + 14 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 12 T + 150 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( 1 - 12 T + 150 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 + 54 T^{2} + 3721 T^{4} \))(\( 1 + 54 T^{2} + 3721 T^{4} \))(\( 1 + 54 T^{2} + 3721 T^{4} \))(\( 1 + 54 T^{2} + 3721 T^{4} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( 1 - 12 T + 150 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 150 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( 1 - 4 T + 124 T^{2} + 116 T^{3} + 6358 T^{4} + 7076 T^{5} + 461404 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 824 T^{3} + 7478 T^{4} + 50264 T^{5} + 431636 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 100 T^{2} + 440 T^{3} + 3478 T^{4} + 26840 T^{5} + 372100 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 824 T^{3} + 7478 T^{4} + 50264 T^{5} + 431636 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 100 T^{2} + 440 T^{3} + 3478 T^{4} + 26840 T^{5} + 372100 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 4 T + 124 T^{2} + 116 T^{3} + 6358 T^{4} + 7076 T^{5} + 461404 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 824 T^{3} + 7478 T^{4} + 50264 T^{5} + 431636 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 100 T^{2} + 440 T^{3} + 3478 T^{4} + 26840 T^{5} + 372100 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 4 T + 124 T^{2} + 116 T^{3} + 6358 T^{4} + 7076 T^{5} + 461404 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 - 4 T + 124 T^{2} + 116 T^{3} + 6358 T^{4} + 7076 T^{5} + 461404 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 116 T^{2} + 824 T^{3} + 7478 T^{4} + 50264 T^{5} + 431636 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 + 8 T + 100 T^{2} + 440 T^{3} + 3478 T^{4} + 26840 T^{5} + 372100 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( 1 + 8 T + 78 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 - 19 T + 186 T^{2} - 1273 T^{3} + 4489 T^{4} \))(\( 1 + 19 T + 186 T^{2} + 1273 T^{3} + 4489 T^{4} \))(\( 1 - 19 T + 186 T^{2} - 1273 T^{3} + 4489 T^{4} \))(\( 1 + 19 T + 186 T^{2} + 1273 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 78 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 - 8 T + 78 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 139 T^{2} - 892 T^{3} + 10912 T^{4} - 59764 T^{5} + 623971 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 100 T^{2} - 692 T^{3} + 4454 T^{4} - 46364 T^{5} + 448900 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 8 T + 88 T^{2} + 8 T^{3} + 814 T^{4} + 536 T^{5} + 395032 T^{6} + 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 100 T^{2} + 692 T^{3} + 4454 T^{4} + 46364 T^{5} + 448900 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 88 T^{2} - 8 T^{3} + 814 T^{4} - 536 T^{5} + 395032 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 139 T^{2} + 892 T^{3} + 10912 T^{4} + 59764 T^{5} + 623971 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 100 T^{2} - 692 T^{3} + 4454 T^{4} - 46364 T^{5} + 448900 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 8 T + 88 T^{2} + 8 T^{3} + 814 T^{4} + 536 T^{5} + 395032 T^{6} + 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 139 T^{2} - 892 T^{3} + 10912 T^{4} - 59764 T^{5} + 623971 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 139 T^{2} + 892 T^{3} + 10912 T^{4} + 59764 T^{5} + 623971 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 100 T^{2} + 692 T^{3} + 4454 T^{4} + 46364 T^{5} + 448900 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 88 T^{2} - 8 T^{3} + 814 T^{4} - 536 T^{5} + 395032 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))
$71$ (\( 1 + 12 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 - 5 T + 71 T^{2} \))(\( 1 + 5 T + 71 T^{2} \))(\( 1 - 5 T + 71 T^{2} \))(\( 1 + 5 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 3 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 8 T + 126 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 - 14 T + 189 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 + 14 T + 189 T^{2} + 994 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 - T + 138 T^{2} - 71 T^{3} + 5041 T^{4} \))(\( 1 + T + 138 T^{2} + 71 T^{3} + 5041 T^{4} \))(\( 1 + T + 138 T^{2} + 71 T^{3} + 5041 T^{4} \))(\( 1 - T + 138 T^{2} - 71 T^{3} + 5041 T^{4} \))(\( 1 + 14 T + 189 T^{2} + 994 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 126 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 - 14 T + 189 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 335 T^{2} + 3432 T^{3} + 37440 T^{4} + 243672 T^{5} + 1688735 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 10 T + 192 T^{2} - 1424 T^{3} + 19193 T^{4} - 101104 T^{5} + 967872 T^{6} - 3579110 T^{7} + 25411681 T^{8} \))(\( 1 + 18 T + 296 T^{2} + 2724 T^{3} + 27369 T^{4} + 193404 T^{5} + 1492136 T^{6} + 6442398 T^{7} + 25411681 T^{8} \))(\( 1 + 10 T + 192 T^{2} + 1424 T^{3} + 19193 T^{4} + 101104 T^{5} + 967872 T^{6} + 3579110 T^{7} + 25411681 T^{8} \))(\( 1 - 18 T + 296 T^{2} - 2724 T^{3} + 27369 T^{4} - 193404 T^{5} + 1492136 T^{6} - 6442398 T^{7} + 25411681 T^{8} \))(\( 1 - 16 T + 335 T^{2} - 3432 T^{3} + 37440 T^{4} - 243672 T^{5} + 1688735 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))(\( 1 + 10 T + 192 T^{2} + 1424 T^{3} + 19193 T^{4} + 101104 T^{5} + 967872 T^{6} + 3579110 T^{7} + 25411681 T^{8} \))(\( 1 - 18 T + 296 T^{2} - 2724 T^{3} + 27369 T^{4} - 193404 T^{5} + 1492136 T^{6} - 6442398 T^{7} + 25411681 T^{8} \))(\( 1 - 16 T + 335 T^{2} - 3432 T^{3} + 37440 T^{4} - 243672 T^{5} + 1688735 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))(\( 1 + 16 T + 335 T^{2} + 3432 T^{3} + 37440 T^{4} + 243672 T^{5} + 1688735 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 10 T + 192 T^{2} - 1424 T^{3} + 19193 T^{4} - 101104 T^{5} + 967872 T^{6} - 3579110 T^{7} + 25411681 T^{8} \))(\( 1 + 18 T + 296 T^{2} + 2724 T^{3} + 27369 T^{4} + 193404 T^{5} + 1492136 T^{6} + 6442398 T^{7} + 25411681 T^{8} \))
$73$ (\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 + 6 T + 138 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 138 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 138 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 138 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 + 114 T^{2} + 5329 T^{4} \))(\( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 184 T^{2} - 2148 T^{3} + 16782 T^{4} - 156804 T^{5} + 980536 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 268 T^{3} + 10310 T^{4} - 19564 T^{5} + 234476 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 136 T^{2} - 1032 T^{3} + 11166 T^{4} - 75336 T^{5} + 724744 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 268 T^{3} + 10310 T^{4} - 19564 T^{5} + 234476 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 136 T^{2} - 1032 T^{3} + 11166 T^{4} - 75336 T^{5} + 724744 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 184 T^{2} - 2148 T^{3} + 16782 T^{4} - 156804 T^{5} + 980536 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 268 T^{3} + 10310 T^{4} - 19564 T^{5} + 234476 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 136 T^{2} - 1032 T^{3} + 11166 T^{4} - 75336 T^{5} + 724744 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 184 T^{2} - 2148 T^{3} + 16782 T^{4} - 156804 T^{5} + 980536 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 184 T^{2} - 2148 T^{3} + 16782 T^{4} - 156804 T^{5} + 980536 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 44 T^{2} - 268 T^{3} + 10310 T^{4} - 19564 T^{5} + 234476 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 136 T^{2} - 1032 T^{3} + 11166 T^{4} - 75336 T^{5} + 724744 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))
$79$ (\( 1 + 13 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 15 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 15 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 2 T + 151 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 154 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 4 T + 154 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 151 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 - 13 T + 196 T^{2} - 1027 T^{3} + 6241 T^{4} \))(\( 1 + 13 T + 196 T^{2} + 1027 T^{3} + 6241 T^{4} \))(\( 1 - 13 T + 196 T^{2} - 1027 T^{3} + 6241 T^{4} \))(\( 1 + 13 T + 196 T^{2} + 1027 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 154 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 2 T + 151 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 151 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 + 4 T + 154 T^{2} + 316 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 97 T^{2} + 1498 T^{3} - 1952 T^{4} + 118342 T^{5} + 605377 T^{6} - 986078 T^{7} + 38950081 T^{8} \))(\( 1 - 4 T + 20 T^{2} - 404 T^{3} + 11814 T^{4} - 31916 T^{5} + 124820 T^{6} - 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 160 T^{2} - 848 T^{3} + 11886 T^{4} - 66992 T^{5} + 998560 T^{6} + 38950081 T^{8} \))(\( 1 + 4 T + 20 T^{2} + 404 T^{3} + 11814 T^{4} + 31916 T^{5} + 124820 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 160 T^{2} + 848 T^{3} + 11886 T^{4} + 66992 T^{5} + 998560 T^{6} + 38950081 T^{8} \))(\( 1 + 2 T + 97 T^{2} - 1498 T^{3} - 1952 T^{4} - 118342 T^{5} + 605377 T^{6} + 986078 T^{7} + 38950081 T^{8} \))(\( 1 - 4 T + 20 T^{2} - 404 T^{3} + 11814 T^{4} - 31916 T^{5} + 124820 T^{6} - 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 160 T^{2} - 848 T^{3} + 11886 T^{4} - 66992 T^{5} + 998560 T^{6} + 38950081 T^{8} \))(\( 1 - 2 T + 97 T^{2} + 1498 T^{3} - 1952 T^{4} + 118342 T^{5} + 605377 T^{6} - 986078 T^{7} + 38950081 T^{8} \))(\( 1 + 2 T + 97 T^{2} - 1498 T^{3} - 1952 T^{4} - 118342 T^{5} + 605377 T^{6} + 986078 T^{7} + 38950081 T^{8} \))(\( 1 + 4 T + 20 T^{2} + 404 T^{3} + 11814 T^{4} + 31916 T^{5} + 124820 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 160 T^{2} + 848 T^{3} + 11886 T^{4} + 66992 T^{5} + 998560 T^{6} + 38950081 T^{8} \))
$83$ (\( 1 + 11 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 - 22 T + 255 T^{2} - 1826 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 + 22 T + 255 T^{2} + 1826 T^{3} + 6889 T^{4} \))(\( 1 + T + 162 T^{2} + 83 T^{3} + 6889 T^{4} \))(\( 1 - T + 162 T^{2} - 83 T^{3} + 6889 T^{4} \))(\( 1 - T + 162 T^{2} - 83 T^{3} + 6889 T^{4} \))(\( 1 + T + 162 T^{2} + 83 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 + 22 T + 255 T^{2} + 1826 T^{3} + 6889 T^{4} \))(\( 1 - 22 T + 255 T^{2} - 1826 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 - 18 T + 389 T^{2} - 4490 T^{3} + 50748 T^{4} - 372670 T^{5} + 2679821 T^{6} - 10292166 T^{7} + 47458321 T^{8} \))(\( 1 - 20 T + 436 T^{2} - 4932 T^{3} + 57734 T^{4} - 409356 T^{5} + 3003604 T^{6} - 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 40 T^{2} - 16 T^{3} + 13134 T^{4} - 1328 T^{5} - 275560 T^{6} + 47458321 T^{8} \))(\( 1 + 20 T + 436 T^{2} + 4932 T^{3} + 57734 T^{4} + 409356 T^{5} + 3003604 T^{6} + 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 40 T^{2} + 16 T^{3} + 13134 T^{4} + 1328 T^{5} - 275560 T^{6} + 47458321 T^{8} \))(\( 1 + 18 T + 389 T^{2} + 4490 T^{3} + 50748 T^{4} + 372670 T^{5} + 2679821 T^{6} + 10292166 T^{7} + 47458321 T^{8} \))(\( 1 + 20 T + 436 T^{2} + 4932 T^{3} + 57734 T^{4} + 409356 T^{5} + 3003604 T^{6} + 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 40 T^{2} + 16 T^{3} + 13134 T^{4} + 1328 T^{5} - 275560 T^{6} + 47458321 T^{8} \))(\( 1 + 18 T + 389 T^{2} + 4490 T^{3} + 50748 T^{4} + 372670 T^{5} + 2679821 T^{6} + 10292166 T^{7} + 47458321 T^{8} \))(\( 1 - 18 T + 389 T^{2} - 4490 T^{3} + 50748 T^{4} - 372670 T^{5} + 2679821 T^{6} - 10292166 T^{7} + 47458321 T^{8} \))(\( 1 - 20 T + 436 T^{2} - 4932 T^{3} + 57734 T^{4} - 409356 T^{5} + 3003604 T^{6} - 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 40 T^{2} - 16 T^{3} + 13134 T^{4} - 1328 T^{5} - 275560 T^{6} + 47458321 T^{8} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 5 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 5 T + 89 T^{2} \))(\( 1 - 5 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( 1 - 6 T + 169 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 169 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( 1 - 15 T + 196 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 - 15 T + 196 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 + 15 T + 196 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( 1 + 15 T + 196 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 169 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( 1 + 6 T + 169 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 8 T + 263 T^{2} - 1500 T^{3} + 30168 T^{4} - 133500 T^{5} + 2083223 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 26 T + 548 T^{2} + 7140 T^{3} + 80541 T^{4} + 635460 T^{5} + 4340708 T^{6} + 18329194 T^{7} + 62742241 T^{8} \))(\( 1 + 18 T + 404 T^{2} + 4416 T^{3} + 54549 T^{4} + 393024 T^{5} + 3200084 T^{6} + 12689442 T^{7} + 62742241 T^{8} \))(\( 1 + 26 T + 548 T^{2} + 7140 T^{3} + 80541 T^{4} + 635460 T^{5} + 4340708 T^{6} + 18329194 T^{7} + 62742241 T^{8} \))(\( 1 + 18 T + 404 T^{2} + 4416 T^{3} + 54549 T^{4} + 393024 T^{5} + 3200084 T^{6} + 12689442 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T + 263 T^{2} - 1500 T^{3} + 30168 T^{4} - 133500 T^{5} + 2083223 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 26 T + 548 T^{2} - 7140 T^{3} + 80541 T^{4} - 635460 T^{5} + 4340708 T^{6} - 18329194 T^{7} + 62742241 T^{8} \))(\( 1 - 18 T + 404 T^{2} - 4416 T^{3} + 54549 T^{4} - 393024 T^{5} + 3200084 T^{6} - 12689442 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 263 T^{2} + 1500 T^{3} + 30168 T^{4} + 133500 T^{5} + 2083223 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 263 T^{2} + 1500 T^{3} + 30168 T^{4} + 133500 T^{5} + 2083223 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 26 T + 548 T^{2} - 7140 T^{3} + 80541 T^{4} - 635460 T^{5} + 4340708 T^{6} - 18329194 T^{7} + 62742241 T^{8} \))(\( 1 - 18 T + 404 T^{2} - 4416 T^{3} + 54549 T^{4} - 393024 T^{5} + 3200084 T^{6} - 12689442 T^{7} + 62742241 T^{8} \))
$97$ (\( 1 + 8 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 + 8 T + 10 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 178 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 178 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 10 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 178 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 10 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 10 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 178 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 24 T + 460 T^{2} - 5704 T^{3} + 65814 T^{4} - 553288 T^{5} + 4328140 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 196 T^{2} - 1688 T^{3} + 26118 T^{4} - 163736 T^{5} + 1844164 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2200 T^{3} + 29798 T^{4} - 213400 T^{5} + 2295796 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 196 T^{2} - 1688 T^{3} + 26118 T^{4} - 163736 T^{5} + 1844164 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2200 T^{3} + 29798 T^{4} - 213400 T^{5} + 2295796 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 24 T + 460 T^{2} - 5704 T^{3} + 65814 T^{4} - 553288 T^{5} + 4328140 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 196 T^{2} - 1688 T^{3} + 26118 T^{4} - 163736 T^{5} + 1844164 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2200 T^{3} + 29798 T^{4} - 213400 T^{5} + 2295796 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 24 T + 460 T^{2} - 5704 T^{3} + 65814 T^{4} - 553288 T^{5} + 4328140 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 24 T + 460 T^{2} - 5704 T^{3} + 65814 T^{4} - 553288 T^{5} + 4328140 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 196 T^{2} - 1688 T^{3} + 26118 T^{4} - 163736 T^{5} + 1844164 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2200 T^{3} + 29798 T^{4} - 213400 T^{5} + 2295796 T^{6} - 7301384 T^{7} + 88529281 T^{8} \))
show more
show less