Properties

Label 3675.2.a
Level 3675
Weight 2
Character orbit a
Rep. character \(\chi_{3675}(1,\cdot)\)
Character field \(\Q\)
Dimension 129
Newform subspaces 54
Sturm bound 1120
Trace bound 13

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Defining parameters

Level: \( N \) \(=\) \( 3675 = 3 \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3675.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 54 \)
Sturm bound: \(1120\)
Trace bound: \(13\)
Distinguishing \(T_p\): \(2\), \(11\), \(13\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(3675))\).

Total New Old
Modular forms 608 129 479
Cusp forms 513 129 384
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.

\(3\)\(5\)\(7\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(14\)
\(+\)\(+\)\(-\)\(-\)\(18\)
\(+\)\(-\)\(+\)\(-\)\(16\)
\(+\)\(-\)\(-\)\(+\)\(17\)
\(-\)\(+\)\(+\)\(-\)\(18\)
\(-\)\(+\)\(-\)\(+\)\(12\)
\(-\)\(-\)\(+\)\(+\)\(13\)
\(-\)\(-\)\(-\)\(-\)\(21\)
Plus space\(+\)\(56\)
Minus space\(-\)\(73\)

Trace form

\( 129q - 3q^{2} - q^{3} + 123q^{4} - q^{6} - 3q^{8} + 129q^{9} + O(q^{10}) \) \( 129q - 3q^{2} - q^{3} + 123q^{4} - q^{6} - 3q^{8} + 129q^{9} + 4q^{11} - 7q^{12} - 10q^{13} + 115q^{16} - 6q^{17} - 3q^{18} - 2q^{19} - 20q^{22} + 16q^{23} - 9q^{24} + 10q^{26} - q^{27} + 10q^{29} + 6q^{31} - 19q^{32} + 4q^{33} + 26q^{34} + 123q^{36} + 8q^{37} + 4q^{38} - 2q^{39} + 38q^{41} + 14q^{43} - 4q^{44} - 24q^{46} + 24q^{47} + q^{48} - 6q^{51} + 10q^{52} - 54q^{53} - q^{54} + 6q^{57} - 34q^{58} + 32q^{59} - 4q^{61} + 24q^{62} + 107q^{64} + 20q^{66} + 26q^{67} - 10q^{68} - 4q^{69} + 28q^{71} - 3q^{72} - 14q^{73} - 10q^{74} - 16q^{76} + 22q^{78} - 10q^{79} + 129q^{81} - 18q^{82} - 20q^{83} + 12q^{86} + 2q^{87} + 76q^{88} - 2q^{89} + 104q^{92} + 18q^{93} - 16q^{94} + 31q^{96} + 10q^{97} + 4q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(3675))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 7
3675.2.a.a \(1\) \(29.345\) \(\Q\) None \(-2\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}-2q^{11}+\cdots\)
3675.2.a.b \(1\) \(29.345\) \(\Q\) None \(-2\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}+2q^{11}+\cdots\)
3675.2.a.c \(1\) \(29.345\) \(\Q\) None \(-2\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{9}-2q^{11}+\cdots\)
3675.2.a.d \(1\) \(29.345\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
3675.2.a.e \(1\) \(29.345\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
3675.2.a.f \(1\) \(29.345\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots\)
3675.2.a.g \(1\) \(29.345\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots\)
3675.2.a.h \(1\) \(29.345\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}+q^{9}+2q^{12}+q^{13}+\cdots\)
3675.2.a.i \(1\) \(29.345\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+q^{3}-2q^{4}+q^{9}-2q^{12}-q^{13}+\cdots\)
3675.2.a.j \(1\) \(29.345\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.k \(1\) \(29.345\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.l \(1\) \(29.345\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.m \(1\) \(29.345\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.n \(1\) \(29.345\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.o \(1\) \(29.345\) \(\Q\) None \(2\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}-6q^{11}+\cdots\)
3675.2.a.p \(1\) \(29.345\) \(\Q\) None \(2\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{9}-6q^{11}+\cdots\)
3675.2.a.q \(1\) \(29.345\) \(\Q\) None \(2\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{9}+2q^{11}+\cdots\)
3675.2.a.r \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(-3\) \(2\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.s \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
3675.2.a.t \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.u \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
3675.2.a.v \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
3675.2.a.w \(2\) \(29.345\) \(\Q(\sqrt{13}) \) None \(-1\) \(2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-\beta q^{6}-3q^{8}+\cdots\)
3675.2.a.x \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}-\beta q^{6}-2\beta q^{8}+q^{9}+\cdots\)
3675.2.a.y \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{8}+\cdots\)
3675.2.a.z \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+\beta q^{6}-2\beta q^{8}+q^{9}+\cdots\)
3675.2.a.ba \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
3675.2.a.bb \(2\) \(29.345\) \(\Q(\sqrt{13}) \) None \(1\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(1+\beta )q^{4}-\beta q^{6}+3q^{8}+\cdots\)
3675.2.a.bc \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
3675.2.a.bd \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.be \(2\) \(29.345\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{2}-q^{3}+(2+2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.bf \(2\) \(29.345\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(1+\beta )q^{6}+\cdots\)
3675.2.a.bg \(2\) \(29.345\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}+(1+\beta )q^{6}+\cdots\)
3675.2.a.bh \(2\) \(29.345\) \(\Q(\sqrt{5}) \) None \(3\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+(-1-\beta )q^{6}+\cdots\)
3675.2.a.bi \(3\) \(29.345\) 3.3.148.1 None \(-1\) \(-3\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.bj \(3\) \(29.345\) 3.3.148.1 None \(1\) \(3\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.bk \(4\) \(29.345\) 4.4.4352.1 None \(-4\) \(-4\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+(-1-\beta _{1}+\beta _{3})q^{2}-q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
3675.2.a.bl \(4\) \(29.345\) 4.4.4352.1 None \(-4\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(-1-\beta _{1}+\beta _{3})q^{2}+q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
3675.2.a.bm \(4\) \(29.345\) 4.4.2624.1 None \(-2\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}-q^{3}+\beta _{2}q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
3675.2.a.bn \(4\) \(29.345\) 4.4.11344.1 None \(-2\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
3675.2.a.bo \(4\) \(29.345\) 4.4.2624.1 None \(-2\) \(4\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.bp \(4\) \(29.345\) 4.4.11344.1 None \(-2\) \(4\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
3675.2.a.bq \(4\) \(29.345\) 4.4.88404.1 None \(-1\) \(-4\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.br \(4\) \(29.345\) 4.4.88404.1 None \(-1\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3675.2.a.bs \(4\) \(29.345\) \(\Q(\zeta_{24})^+\) None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}-\beta _{1}q^{6}+\beta _{3}q^{8}+\cdots\)
3675.2.a.bt \(4\) \(29.345\) 4.4.4400.1 None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{3})q^{4}+\beta _{2}q^{6}+\cdots\)
3675.2.a.bu \(4\) \(29.345\) \(\Q(\zeta_{24})^+\) None \(0\) \(4\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+\beta _{1}q^{6}+\beta _{3}q^{8}+\cdots\)
3675.2.a.bv \(4\) \(29.345\) 4.4.4400.1 None \(0\) \(4\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q-\beta _{2}q^{2}+q^{3}+(2-\beta _{3})q^{4}-\beta _{2}q^{6}+\cdots\)
3675.2.a.bw \(4\) \(29.345\) 4.4.88404.1 None \(1\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3675.2.a.bx \(4\) \(29.345\) 4.4.88404.1 None \(1\) \(4\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.by \(4\) \(29.345\) 4.4.2624.1 None \(2\) \(-4\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}-q^{3}+\beta _{2}q^{4}+(-1+\beta _{1}+\cdots)q^{6}+\cdots\)
3675.2.a.bz \(4\) \(29.345\) 4.4.11344.1 None \(2\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
3675.2.a.ca \(4\) \(29.345\) 4.4.2624.1 None \(2\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}+q^{3}+\beta _{2}q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
3675.2.a.cb \(4\) \(29.345\) 4.4.11344.1 None \(2\) \(4\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(3675))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(3675)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(49))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(147))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(175))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(245))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(525))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(735))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1225))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + 3 T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T + T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - T + 3 T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 + T + T^{2} + 3 T^{3} + 2 T^{4} + 4 T^{5} + 8 T^{6} \))(\( 1 - T + T^{2} - 3 T^{3} + 2 T^{4} - 4 T^{5} + 8 T^{6} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 17 T^{4} + 24 T^{5} + 32 T^{6} + 32 T^{7} + 16 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 17 T^{4} + 24 T^{5} + 32 T^{6} + 32 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 11 T^{4} + 12 T^{5} + 20 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 4 T^{2} + 6 T^{3} + 10 T^{4} + 12 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 11 T^{4} + 12 T^{5} + 20 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 4 T^{2} + 6 T^{3} + 10 T^{4} + 12 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + T + T^{2} + T^{3} + 2 T^{5} + 4 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 + T + T^{2} + T^{3} + 2 T^{5} + 4 T^{6} + 8 T^{7} + 16 T^{8} \))(\( 1 + 4 T^{2} + 9 T^{4} + 16 T^{6} + 16 T^{8} \))(\( 1 + 3 T^{4} + 16 T^{8} \))(\( 1 + 4 T^{2} + 9 T^{4} + 16 T^{6} + 16 T^{8} \))(\( 1 + 3 T^{4} + 16 T^{8} \))(\( 1 - T + T^{2} - T^{3} - 2 T^{5} + 4 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - T + T^{2} - T^{3} - 2 T^{5} + 4 T^{6} - 8 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 5 T^{2} - 6 T^{3} + 11 T^{4} - 12 T^{5} + 20 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 6 T^{3} + 10 T^{4} - 12 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 5 T^{2} - 6 T^{3} + 11 T^{4} - 12 T^{5} + 20 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 6 T^{3} + 10 T^{4} - 12 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))
$5$ 1
$7$ 1
$11$ (\( 1 + 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 + 17 T^{2} + 121 T^{4} \))(\( 1 + 17 T^{2} + 121 T^{4} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 17 T^{2} + 121 T^{4} \))(\( ( 1 + 3 T + 11 T^{2} )^{2} \))(\( 1 + 17 T^{2} + 121 T^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( 1 + 2 T + 20 T^{2} + 22 T^{3} + 121 T^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( 1 + 2 T + 20 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 22 T^{3} + 121 T^{4} \))(\( ( 1 - 2 T + 11 T^{2} )^{3} \))(\( ( 1 - 2 T + 11 T^{2} )^{3} \))(\( 1 - 8 T + 36 T^{2} - 104 T^{3} + 326 T^{4} - 1144 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 - 8 T + 36 T^{2} - 104 T^{3} + 326 T^{4} - 1144 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 557 T^{4} + 1364 T^{5} + 4356 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 14 T^{3} + 360 T^{4} - 154 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 557 T^{4} + 1364 T^{5} + 4356 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 14 T^{3} + 360 T^{4} - 154 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 - 8 T + 36 T^{2} - 84 T^{3} + 222 T^{4} - 924 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 - 8 T + 36 T^{2} - 84 T^{3} + 222 T^{4} - 924 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 8 T + 36 T^{2} - 84 T^{3} + 222 T^{4} - 924 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 - 8 T + 36 T^{2} - 84 T^{3} + 222 T^{4} - 924 T^{5} + 4356 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 557 T^{4} + 1364 T^{5} + 4356 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 14 T^{3} + 360 T^{4} - 154 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 124 T^{3} + 557 T^{4} + 1364 T^{5} + 4356 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 14 T^{3} + 360 T^{4} - 154 T^{5} + 3146 T^{6} + 14641 T^{8} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 10 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 14 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 33 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( 1 - 6 T + 33 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 10 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 14 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 10 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 40 T^{2} + 104 T^{3} + 169 T^{4} \))(\( 1 - 8 T + 39 T^{2} - 104 T^{3} + 169 T^{4} \))(\( 1 - 8 T + 40 T^{2} - 104 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 39 T^{2} + 104 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 148 T^{3} + 455 T^{4} + 1014 T^{5} + 2197 T^{6} \))(\( 1 - 6 T + 35 T^{2} - 148 T^{3} + 455 T^{4} - 1014 T^{5} + 2197 T^{6} \))(\( 1 + 20 T^{2} + 64 T^{3} + 198 T^{4} + 832 T^{5} + 3380 T^{6} + 28561 T^{8} \))(\( 1 + 20 T^{2} - 64 T^{3} + 198 T^{4} - 832 T^{5} + 3380 T^{6} + 28561 T^{8} \))(\( 1 + 38 T^{2} + 16 T^{3} + 654 T^{4} + 208 T^{5} + 6422 T^{6} + 28561 T^{8} \))(\( 1 - 2 T + 24 T^{2} - 42 T^{3} + 413 T^{4} - 546 T^{5} + 4056 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 38 T^{2} - 16 T^{3} + 654 T^{4} - 208 T^{5} + 6422 T^{6} + 28561 T^{8} \))(\( 1 + 2 T + 24 T^{2} + 42 T^{3} + 413 T^{4} + 546 T^{5} + 4056 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 + 7 T + 33 T^{2} + 94 T^{3} + 326 T^{4} + 1222 T^{5} + 5577 T^{6} + 15379 T^{7} + 28561 T^{8} \))(\( 1 - 7 T + 33 T^{2} - 94 T^{3} + 326 T^{4} - 1222 T^{5} + 5577 T^{6} - 15379 T^{7} + 28561 T^{8} \))(\( ( 1 - 4 T + 13 T^{2} )^{4} \))(\( ( 1 + 6 T + 30 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{4} \))(\( ( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( 1 + 7 T + 33 T^{2} + 94 T^{3} + 326 T^{4} + 1222 T^{5} + 5577 T^{6} + 15379 T^{7} + 28561 T^{8} \))(\( 1 - 7 T + 33 T^{2} - 94 T^{3} + 326 T^{4} - 1222 T^{5} + 5577 T^{6} - 15379 T^{7} + 28561 T^{8} \))(\( 1 + 38 T^{2} + 16 T^{3} + 654 T^{4} + 208 T^{5} + 6422 T^{6} + 28561 T^{8} \))(\( 1 - 2 T + 24 T^{2} - 42 T^{3} + 413 T^{4} - 546 T^{5} + 4056 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 38 T^{2} - 16 T^{3} + 654 T^{4} - 208 T^{5} + 6422 T^{6} + 28561 T^{8} \))(\( 1 + 2 T + 24 T^{2} + 42 T^{3} + 413 T^{4} + 546 T^{5} + 4056 T^{6} + 4394 T^{7} + 28561 T^{8} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T - 10 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 6 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 20 T^{2} + 68 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( 1 - 4 T + 20 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 20 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 10 T + 56 T^{2} - 170 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 20 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 10 T + 56 T^{2} + 170 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 10 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 35 T^{2} - 16 T^{3} + 595 T^{4} + 4913 T^{6} \))(\( 1 + 35 T^{2} + 16 T^{3} + 595 T^{4} + 4913 T^{6} \))(\( 1 + 8 T + 52 T^{2} + 280 T^{3} + 1318 T^{4} + 4760 T^{5} + 15028 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 - 8 T + 52 T^{2} - 280 T^{3} + 1318 T^{4} - 4760 T^{5} + 15028 T^{6} - 39304 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 58 T^{2} - 188 T^{3} + 1390 T^{4} - 3196 T^{5} + 16762 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 40 T^{2} - 80 T^{3} + 916 T^{4} - 1360 T^{5} + 11560 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 58 T^{2} + 188 T^{3} + 1390 T^{4} + 3196 T^{5} + 16762 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 40 T^{2} + 80 T^{3} + 916 T^{4} + 1360 T^{5} + 11560 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 + 6 T + 48 T^{2} + 198 T^{3} + 1094 T^{4} + 3366 T^{5} + 13872 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 48 T^{2} - 198 T^{3} + 1094 T^{4} - 3366 T^{5} + 13872 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))(\( ( 1 + 6 T + 38 T^{2} + 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{4} \))(\( ( 1 - 6 T + 38 T^{2} - 102 T^{3} + 289 T^{4} )^{2} \))(\( 1 + 6 T + 48 T^{2} + 198 T^{3} + 1094 T^{4} + 3366 T^{5} + 13872 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 6 T + 48 T^{2} - 198 T^{3} + 1094 T^{4} - 3366 T^{5} + 13872 T^{6} - 29478 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 58 T^{2} - 188 T^{3} + 1390 T^{4} - 3196 T^{5} + 16762 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 40 T^{2} - 80 T^{3} + 916 T^{4} - 1360 T^{5} + 11560 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 58 T^{2} + 188 T^{3} + 1390 T^{4} + 3196 T^{5} + 16762 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 40 T^{2} + 80 T^{3} + 916 T^{4} + 1360 T^{5} + 11560 T^{6} + 9826 T^{7} + 83521 T^{8} \))
$19$ (\( 1 - T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 34 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 34 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 34 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 7 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 7 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 34 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 2 T + 27 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 - 2 T + 27 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 53 T^{2} + 188 T^{3} + 1007 T^{4} + 2166 T^{5} + 6859 T^{6} \))(\( 1 + 6 T + 53 T^{2} + 188 T^{3} + 1007 T^{4} + 2166 T^{5} + 6859 T^{6} \))(\( 1 + 8 T + 64 T^{2} + 280 T^{3} + 1426 T^{4} + 5320 T^{5} + 23104 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 64 T^{2} - 280 T^{3} + 1426 T^{4} - 5320 T^{5} + 23104 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 46 T^{2} - 232 T^{3} + 1222 T^{4} - 4408 T^{5} + 16606 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 12 T + 114 T^{2} - 724 T^{3} + 3619 T^{4} - 13756 T^{5} + 41154 T^{6} - 82308 T^{7} + 130321 T^{8} \))(\( 1 + 8 T + 46 T^{2} + 232 T^{3} + 1222 T^{4} + 4408 T^{5} + 16606 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 114 T^{2} + 724 T^{3} + 3619 T^{4} + 13756 T^{5} + 41154 T^{6} + 82308 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 39 T^{2} - 4 T^{3} + 564 T^{4} - 76 T^{5} + 14079 T^{6} + 20577 T^{7} + 130321 T^{8} \))(\( 1 - 3 T + 39 T^{2} + 4 T^{3} + 564 T^{4} + 76 T^{5} + 14079 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 + 48 T^{2} + 1106 T^{4} + 17328 T^{6} + 130321 T^{8} \))(\( 1 + 8 T^{2} - 242 T^{4} + 2888 T^{6} + 130321 T^{8} \))(\( 1 + 48 T^{2} + 1106 T^{4} + 17328 T^{6} + 130321 T^{8} \))(\( 1 + 8 T^{2} - 242 T^{4} + 2888 T^{6} + 130321 T^{8} \))(\( 1 - 3 T + 39 T^{2} + 4 T^{3} + 564 T^{4} + 76 T^{5} + 14079 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 39 T^{2} - 4 T^{3} + 564 T^{4} - 76 T^{5} + 14079 T^{6} + 20577 T^{7} + 130321 T^{8} \))(\( 1 + 8 T + 46 T^{2} + 232 T^{3} + 1222 T^{4} + 4408 T^{5} + 16606 T^{6} + 54872 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 114 T^{2} + 724 T^{3} + 3619 T^{4} + 13756 T^{5} + 41154 T^{6} + 82308 T^{7} + 130321 T^{8} \))(\( 1 - 8 T + 46 T^{2} - 232 T^{3} + 1222 T^{4} - 4408 T^{5} + 16606 T^{6} - 54872 T^{7} + 130321 T^{8} \))(\( 1 - 12 T + 114 T^{2} - 724 T^{3} + 3619 T^{4} - 13756 T^{5} + 41154 T^{6} - 82308 T^{7} + 130321 T^{8} \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( ( 1 + 5 T + 23 T^{2} )^{2} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 45 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 45 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 5 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 32 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( 1 - 4 T + 32 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 45 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 5 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 45 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 52 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 52 T^{2} - 138 T^{3} + 529 T^{4} \))(\( ( 1 - 5 T + 23 T^{2} )^{2} \))(\( 1 + 4 T + 61 T^{2} + 168 T^{3} + 1403 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 61 T^{2} - 168 T^{3} + 1403 T^{4} - 2116 T^{5} + 12167 T^{6} \))(\( 1 + 48 T^{2} + 64 T^{3} + 1346 T^{4} + 1472 T^{5} + 25392 T^{6} + 279841 T^{8} \))(\( 1 + 48 T^{2} + 64 T^{3} + 1346 T^{4} + 1472 T^{5} + 25392 T^{6} + 279841 T^{8} \))(\( 1 + 60 T^{2} + 20 T^{3} + 1781 T^{4} + 460 T^{5} + 31740 T^{6} + 279841 T^{8} \))(\( 1 + 10 T + 60 T^{2} + 104 T^{3} + 196 T^{4} + 2392 T^{5} + 31740 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 60 T^{2} + 20 T^{3} + 1781 T^{4} + 460 T^{5} + 31740 T^{6} + 279841 T^{8} \))(\( 1 + 10 T + 60 T^{2} + 104 T^{3} + 196 T^{4} + 2392 T^{5} + 31740 T^{6} + 121670 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 24 T^{2} + 66 T^{3} + 1006 T^{4} + 1518 T^{5} + 12696 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 24 T^{2} + 66 T^{3} + 1006 T^{4} + 1518 T^{5} + 12696 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 40 T^{2} + 1266 T^{4} + 21160 T^{6} + 279841 T^{8} \))(\( 1 + 64 T^{2} + 2062 T^{4} + 33856 T^{6} + 279841 T^{8} \))(\( 1 + 40 T^{2} + 1266 T^{4} + 21160 T^{6} + 279841 T^{8} \))(\( 1 + 64 T^{2} + 2062 T^{4} + 33856 T^{6} + 279841 T^{8} \))(\( 1 - 2 T + 24 T^{2} - 66 T^{3} + 1006 T^{4} - 1518 T^{5} + 12696 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 - 2 T + 24 T^{2} - 66 T^{3} + 1006 T^{4} - 1518 T^{5} + 12696 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( 1 + 60 T^{2} - 20 T^{3} + 1781 T^{4} - 460 T^{5} + 31740 T^{6} + 279841 T^{8} \))(\( 1 - 10 T + 60 T^{2} - 104 T^{3} + 196 T^{4} - 2392 T^{5} + 31740 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 + 60 T^{2} - 20 T^{3} + 1781 T^{4} - 460 T^{5} + 31740 T^{6} + 279841 T^{8} \))(\( 1 - 10 T + 60 T^{2} - 104 T^{3} + 196 T^{4} - 2392 T^{5} + 31740 T^{6} - 121670 T^{7} + 279841 T^{8} \))
$29$ (\( 1 - 4 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 4 T + 17 T^{2} + 116 T^{3} + 841 T^{4} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( 1 + 8 T + 61 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( 1 + 8 T + 61 T^{2} + 232 T^{3} + 841 T^{4} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( 1 + 8 T + 66 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 32 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 8 T + 66 T^{2} + 232 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 32 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 17 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 35 T^{2} - 76 T^{3} + 1015 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 35 T^{2} - 76 T^{3} + 1015 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 8 T + 44 T^{2} - 88 T^{3} + 502 T^{4} - 2552 T^{5} + 37004 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 88 T^{3} + 502 T^{4} - 2552 T^{5} + 37004 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 68 T^{2} + 284 T^{3} + 2725 T^{4} + 8236 T^{5} + 57188 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 78 T^{2} + 332 T^{3} + 2820 T^{4} + 9628 T^{5} + 65598 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 68 T^{2} + 284 T^{3} + 2725 T^{4} + 8236 T^{5} + 57188 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 78 T^{2} + 332 T^{3} + 2820 T^{4} + 9628 T^{5} + 65598 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( 1 + 4 T + 68 T^{2} + 284 T^{3} + 2725 T^{4} + 8236 T^{5} + 57188 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 78 T^{2} + 332 T^{3} + 2820 T^{4} + 9628 T^{5} + 65598 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 + 4 T + 68 T^{2} + 284 T^{3} + 2725 T^{4} + 8236 T^{5} + 57188 T^{6} + 97556 T^{7} + 707281 T^{8} \))(\( 1 + 6 T + 78 T^{2} + 332 T^{3} + 2820 T^{4} + 9628 T^{5} + 65598 T^{6} + 146334 T^{7} + 707281 T^{8} \))
$31$ (\( 1 - 9 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 9 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 42 T^{2} + 961 T^{4} \))(\( 1 + 4 T - 6 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - 4 T - 6 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( 1 - 6 T + 63 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 + 12 T + 78 T^{2} + 372 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 63 T^{2} + 186 T^{3} + 961 T^{4} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 8 T + 70 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 59 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 59 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 + 42 T^{2} + 961 T^{4} \))(\( 1 + 2 T + 41 T^{2} - 60 T^{3} + 1271 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 41 T^{2} - 60 T^{3} + 1271 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 8 T + 112 T^{2} + 696 T^{3} + 4994 T^{4} + 21576 T^{5} + 107632 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 112 T^{2} - 696 T^{3} + 4994 T^{4} - 21576 T^{5} + 107632 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 88 T^{2} - 600 T^{3} + 3986 T^{4} - 18600 T^{5} + 84568 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 118 T^{2} - 648 T^{3} + 5455 T^{4} - 20088 T^{5} + 113398 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 88 T^{2} + 600 T^{3} + 3986 T^{4} + 18600 T^{5} + 84568 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 118 T^{2} + 648 T^{3} + 5455 T^{4} + 20088 T^{5} + 113398 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 9 T + 68 T^{2} + 261 T^{3} + 1526 T^{4} + 8091 T^{5} + 65348 T^{6} + 268119 T^{7} + 923521 T^{8} \))(\( 1 - 9 T + 68 T^{2} - 261 T^{3} + 1526 T^{4} - 8091 T^{5} + 65348 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( ( 1 + 8 T^{2} + 961 T^{4} )^{2} \))(\( 1 + 72 T^{2} + 2718 T^{4} + 69192 T^{6} + 923521 T^{8} \))(\( ( 1 + 8 T^{2} + 961 T^{4} )^{2} \))(\( 1 + 72 T^{2} + 2718 T^{4} + 69192 T^{6} + 923521 T^{8} \))(\( 1 - 9 T + 68 T^{2} - 261 T^{3} + 1526 T^{4} - 8091 T^{5} + 65348 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( 1 + 9 T + 68 T^{2} + 261 T^{3} + 1526 T^{4} + 8091 T^{5} + 65348 T^{6} + 268119 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 88 T^{2} + 600 T^{3} + 3986 T^{4} + 18600 T^{5} + 84568 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 8 T + 118 T^{2} + 648 T^{3} + 5455 T^{4} + 20088 T^{5} + 113398 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 88 T^{2} - 600 T^{3} + 3986 T^{4} - 18600 T^{5} + 84568 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T + 118 T^{2} - 648 T^{3} + 5455 T^{4} - 20088 T^{5} + 113398 T^{6} - 238328 T^{7} + 923521 T^{8} \))
$37$ (\( 1 + 3 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 55 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 31 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 - 14 T + 121 T^{2} - 518 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 14 T + 121 T^{2} - 518 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 55 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 6 T + 31 T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 55 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( 1 + 4 T + 51 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( 1 + 4 T + 51 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 55 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 31 T^{2} - 232 T^{3} + 1147 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 31 T^{2} + 232 T^{3} + 1147 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 92 T^{2} + 600 T^{3} + 4854 T^{4} + 22200 T^{5} + 125948 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 92 T^{2} + 600 T^{3} + 4854 T^{4} + 22200 T^{5} + 125948 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 16 T + 194 T^{2} + 1584 T^{3} + 10995 T^{4} + 58608 T^{5} + 265586 T^{6} + 810448 T^{7} + 1874161 T^{8} \))(\( 1 + 24 T + 352 T^{2} + 3386 T^{3} + 24217 T^{4} + 125282 T^{5} + 481888 T^{6} + 1215672 T^{7} + 1874161 T^{8} \))(\( 1 + 16 T + 194 T^{2} + 1584 T^{3} + 10995 T^{4} + 58608 T^{5} + 265586 T^{6} + 810448 T^{7} + 1874161 T^{8} \))(\( 1 + 24 T + 352 T^{2} + 3386 T^{3} + 24217 T^{4} + 125282 T^{5} + 481888 T^{6} + 1215672 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 86 T^{2} + 744 T^{3} + 4399 T^{4} + 27528 T^{5} + 117734 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 86 T^{2} + 744 T^{3} + 4399 T^{4} + 27528 T^{5} + 117734 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 36 T^{2} - 10 T^{4} + 49284 T^{6} + 1874161 T^{8} \))(\( 1 + 36 T^{2} + 2742 T^{4} + 49284 T^{6} + 1874161 T^{8} \))(\( 1 + 36 T^{2} - 10 T^{4} + 49284 T^{6} + 1874161 T^{8} \))(\( 1 + 36 T^{2} + 2742 T^{4} + 49284 T^{6} + 1874161 T^{8} \))(\( 1 - 8 T + 86 T^{2} - 744 T^{3} + 4399 T^{4} - 27528 T^{5} + 117734 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T + 86 T^{2} - 744 T^{3} + 4399 T^{4} - 27528 T^{5} + 117734 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 16 T + 194 T^{2} - 1584 T^{3} + 10995 T^{4} - 58608 T^{5} + 265586 T^{6} - 810448 T^{7} + 1874161 T^{8} \))(\( 1 - 24 T + 352 T^{2} - 3386 T^{3} + 24217 T^{4} - 125282 T^{5} + 481888 T^{6} - 1215672 T^{7} + 1874161 T^{8} \))(\( 1 - 16 T + 194 T^{2} - 1584 T^{3} + 10995 T^{4} - 58608 T^{5} + 265586 T^{6} - 810448 T^{7} + 1874161 T^{8} \))(\( 1 - 24 T + 352 T^{2} - 3386 T^{3} + 24217 T^{4} - 125282 T^{5} + 481888 T^{6} - 1215672 T^{7} + 1874161 T^{8} \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( 1 - 12 T + 86 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 86 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 + 2 T^{2} + 1681 T^{4} \))(\( 1 + 2 T^{2} + 1681 T^{4} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( 1 - 4 T + 68 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( 1 + 4 T + 68 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 + 2 T^{2} + 1681 T^{4} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 1681 T^{4} \))(\( 1 - 4 T + 68 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 80 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 68 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 2 T + 80 T^{2} - 82 T^{3} + 1681 T^{4} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( 1 + 2 T + 63 T^{2} - 36 T^{3} + 2583 T^{4} + 3362 T^{5} + 68921 T^{6} \))(\( 1 + 2 T + 63 T^{2} - 36 T^{3} + 2583 T^{4} + 3362 T^{5} + 68921 T^{6} \))(\( 1 + 108 T^{2} + 128 T^{3} + 5510 T^{4} + 5248 T^{5} + 181548 T^{6} + 2825761 T^{8} \))(\( 1 + 108 T^{2} - 128 T^{3} + 5510 T^{4} - 5248 T^{5} + 181548 T^{6} + 2825761 T^{8} \))(\( 1 - 24 T + 348 T^{2} - 3464 T^{3} + 25622 T^{4} - 142024 T^{5} + 584988 T^{6} - 1654104 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 114 T^{2} + 346 T^{3} + 5976 T^{4} + 14186 T^{5} + 191634 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 24 T + 348 T^{2} + 3464 T^{3} + 25622 T^{4} + 142024 T^{5} + 584988 T^{6} + 1654104 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T + 114 T^{2} - 346 T^{3} + 5976 T^{4} - 14186 T^{5} + 191634 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 104 T^{2} + 256 T^{3} + 4966 T^{4} + 10496 T^{5} + 174824 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T + 104 T^{2} - 256 T^{3} + 4966 T^{4} - 10496 T^{5} + 174824 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{2} \))(\( 1 + 24 T^{2} + 3006 T^{4} + 40344 T^{6} + 2825761 T^{8} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{2} \))(\( 1 + 24 T^{2} + 3006 T^{4} + 40344 T^{6} + 2825761 T^{8} \))(\( 1 - 4 T + 104 T^{2} - 256 T^{3} + 4966 T^{4} - 10496 T^{5} + 174824 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 104 T^{2} + 256 T^{3} + 4966 T^{4} + 10496 T^{5} + 174824 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 24 T + 348 T^{2} + 3464 T^{3} + 25622 T^{4} + 142024 T^{5} + 584988 T^{6} + 1654104 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T + 114 T^{2} - 346 T^{3} + 5976 T^{4} - 14186 T^{5} + 191634 T^{6} - 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 24 T + 348 T^{2} - 3464 T^{3} + 25622 T^{4} - 142024 T^{5} + 584988 T^{6} - 1654104 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T + 114 T^{2} + 346 T^{3} + 5976 T^{4} + 14186 T^{5} + 191634 T^{6} + 275684 T^{7} + 2825761 T^{8} \))
$43$ (\( 1 + 5 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 12 T + 117 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 109 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 - 18 T + 165 T^{2} - 774 T^{3} + 1849 T^{4} \))(\( 1 + 6 T^{2} + 1849 T^{4} \))(\( 1 - 18 T + 165 T^{2} - 774 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 45 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 12 T + 109 T^{2} - 516 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 45 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( 1 - 4 T + 63 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( 1 - 4 T + 63 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 12 T + 117 T^{2} - 516 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 15 T^{2} - 488 T^{3} - 645 T^{4} + 7396 T^{5} + 79507 T^{6} \))(\( 1 - 4 T - 15 T^{2} + 488 T^{3} - 645 T^{4} - 7396 T^{5} + 79507 T^{6} \))(\( 1 - 8 T + 140 T^{2} - 840 T^{3} + 8406 T^{4} - 36120 T^{5} + 258860 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 140 T^{2} - 840 T^{3} + 8406 T^{4} - 36120 T^{5} + 258860 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 20 T + 170 T^{2} + 600 T^{3} + 1347 T^{4} + 25800 T^{5} + 314330 T^{6} + 1590140 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 878 T^{3} + 8293 T^{4} + 37754 T^{5} + 258860 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 20 T + 170 T^{2} + 600 T^{3} + 1347 T^{4} + 25800 T^{5} + 314330 T^{6} + 1590140 T^{7} + 3418801 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 878 T^{3} + 8293 T^{4} + 37754 T^{5} + 258860 T^{6} + 636056 T^{7} + 3418801 T^{8} \))(\( 1 + 5 T + 120 T^{2} + 677 T^{3} + 6782 T^{4} + 29111 T^{5} + 221880 T^{6} + 397535 T^{7} + 3418801 T^{8} \))(\( 1 + 5 T + 120 T^{2} + 677 T^{3} + 6782 T^{4} + 29111 T^{5} + 221880 T^{6} + 397535 T^{7} + 3418801 T^{8} \))(\( ( 1 + 43 T^{2} )^{4} \))(\( 1 + 44 T^{2} + 2902 T^{4} + 81356 T^{6} + 3418801 T^{8} \))(\( ( 1 + 43 T^{2} )^{4} \))(\( 1 + 44 T^{2} + 2902 T^{4} + 81356 T^{6} + 3418801 T^{8} \))(\( 1 - 5 T + 120 T^{2} - 677 T^{3} + 6782 T^{4} - 29111 T^{5} + 221880 T^{6} - 397535 T^{7} + 3418801 T^{8} \))(\( 1 - 5 T + 120 T^{2} - 677 T^{3} + 6782 T^{4} - 29111 T^{5} + 221880 T^{6} - 397535 T^{7} + 3418801 T^{8} \))(\( 1 - 20 T + 170 T^{2} - 600 T^{3} + 1347 T^{4} - 25800 T^{5} + 314330 T^{6} - 1590140 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 140 T^{2} - 878 T^{3} + 8293 T^{4} - 37754 T^{5} + 258860 T^{6} - 636056 T^{7} + 3418801 T^{8} \))(\( 1 - 20 T + 170 T^{2} - 600 T^{3} + 1347 T^{4} - 25800 T^{5} + 314330 T^{6} - 1590140 T^{7} + 3418801 T^{8} \))(\( 1 - 8 T + 140 T^{2} - 878 T^{3} + 8293 T^{4} - 37754 T^{5} + 258860 T^{6} - 636056 T^{7} + 3418801 T^{8} \))
$47$ (\( 1 - 6 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 10 T + 114 T^{2} - 470 T^{3} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 14 T + 130 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 30 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 30 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 30 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 14 T + 130 T^{2} + 658 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( ( 1 - 2 T + 47 T^{2} )^{2} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( ( 1 + 2 T + 47 T^{2} )^{2} \))(\( 1 + 10 T + 114 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 109 T^{2} - 624 T^{3} + 5123 T^{4} - 17672 T^{5} + 103823 T^{6} \))(\( 1 + 8 T + 109 T^{2} + 624 T^{3} + 5123 T^{4} + 17672 T^{5} + 103823 T^{6} \))(\( ( 1 + 4 T + 26 T^{2} + 188 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 4 T + 26 T^{2} - 188 T^{3} + 2209 T^{4} )^{2} \))(\( 1 + 8 T + 86 T^{2} + 224 T^{3} + 2638 T^{4} + 10528 T^{5} + 189974 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T + 204 T^{2} + 1346 T^{3} + 14638 T^{4} + 63262 T^{5} + 450636 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 86 T^{2} - 224 T^{3} + 2638 T^{4} - 10528 T^{5} + 189974 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 204 T^{2} - 1346 T^{3} + 14638 T^{4} - 63262 T^{5} + 450636 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 124 T^{2} - 346 T^{3} + 6382 T^{4} - 16262 T^{5} + 273916 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 6 T + 124 T^{2} + 346 T^{3} + 6382 T^{4} + 16262 T^{5} + 273916 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( ( 1 - 6 T + 47 T^{2} )^{4} \))(\( ( 1 + 8 T + 30 T^{2} + 376 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 6 T + 47 T^{2} )^{4} \))(\( ( 1 - 8 T + 30 T^{2} - 376 T^{3} + 2209 T^{4} )^{2} \))(\( 1 - 6 T + 124 T^{2} - 346 T^{3} + 6382 T^{4} - 16262 T^{5} + 273916 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 6 T + 124 T^{2} + 346 T^{3} + 6382 T^{4} + 16262 T^{5} + 273916 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 8 T + 86 T^{2} + 224 T^{3} + 2638 T^{4} + 10528 T^{5} + 189974 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 + 10 T + 204 T^{2} + 1346 T^{3} + 14638 T^{4} + 63262 T^{5} + 450636 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 86 T^{2} - 224 T^{3} + 2638 T^{4} - 10528 T^{5} + 189974 T^{6} - 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 204 T^{2} - 1346 T^{3} + 14638 T^{4} - 63262 T^{5} + 450636 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))
$53$ (\( 1 + 12 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 - 8 T + 102 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 + 34 T^{2} + 2809 T^{4} \))(\( 1 + 34 T^{2} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 - 8 T + 70 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 + 8 T + 114 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 + 8 T + 114 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( 1 + 8 T + 70 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( 1 + 4 T + 2 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( 1 + 4 T + 2 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 8 T + 102 T^{2} + 424 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 171 T^{2} + 1188 T^{3} + 9063 T^{4} + 39326 T^{5} + 148877 T^{6} \))(\( 1 - 14 T + 171 T^{2} - 1188 T^{3} + 9063 T^{4} - 39326 T^{5} + 148877 T^{6} \))(\( 1 + 8 T + 208 T^{2} + 1192 T^{3} + 16402 T^{4} + 63176 T^{5} + 584272 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T + 208 T^{2} + 1192 T^{3} + 16402 T^{4} + 63176 T^{5} + 584272 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 304 T^{2} - 3100 T^{3} + 25822 T^{4} - 164300 T^{5} + 853936 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))(\( 1 + 20 T + 332 T^{2} + 3388 T^{3} + 29670 T^{4} + 179564 T^{5} + 932588 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 304 T^{2} - 3100 T^{3} + 25822 T^{4} - 164300 T^{5} + 853936 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))(\( 1 + 20 T + 332 T^{2} + 3388 T^{3} + 29670 T^{4} + 179564 T^{5} + 932588 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T + 136 T^{2} - 662 T^{3} + 9910 T^{4} - 35086 T^{5} + 382024 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( 1 - 6 T + 136 T^{2} - 662 T^{3} + 9910 T^{4} - 35086 T^{5} + 382024 T^{6} - 893262 T^{7} + 7890481 T^{8} \))(\( ( 1 + 52 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 160 T^{2} + 11518 T^{4} + 449440 T^{6} + 7890481 T^{8} \))(\( ( 1 + 52 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 160 T^{2} + 11518 T^{4} + 449440 T^{6} + 7890481 T^{8} \))(\( 1 + 6 T + 136 T^{2} + 662 T^{3} + 9910 T^{4} + 35086 T^{5} + 382024 T^{6} + 893262 T^{7} + 7890481 T^{8} \))(\( 1 + 6 T + 136 T^{2} + 662 T^{3} + 9910 T^{4} + 35086 T^{5} + 382024 T^{6} + 893262 T^{7} + 7890481 T^{8} \))(\( 1 + 20 T + 304 T^{2} + 3100 T^{3} + 25822 T^{4} + 164300 T^{5} + 853936 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 332 T^{2} - 3388 T^{3} + 29670 T^{4} - 179564 T^{5} + 932588 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))(\( 1 + 20 T + 304 T^{2} + 3100 T^{3} + 25822 T^{4} + 164300 T^{5} + 853936 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 332 T^{2} - 3388 T^{3} + 29670 T^{4} - 179564 T^{5} + 932588 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))
$59$ (\( 1 + 12 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 - 6 T + 122 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 150 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 102 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 102 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 + 38 T^{2} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 - 4 T + 102 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 154 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 102 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 116 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 126 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 116 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 122 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 113 T^{2} + 608 T^{3} + 6667 T^{4} + 55696 T^{5} + 205379 T^{6} \))(\( 1 + 16 T + 113 T^{2} + 608 T^{3} + 6667 T^{4} + 55696 T^{5} + 205379 T^{6} \))(\( 1 - 16 T + 188 T^{2} - 1424 T^{3} + 10678 T^{4} - 84016 T^{5} + 654428 T^{6} - 3286064 T^{7} + 12117361 T^{8} \))(\( 1 + 16 T + 188 T^{2} + 1424 T^{3} + 10678 T^{4} + 84016 T^{5} + 654428 T^{6} + 3286064 T^{7} + 12117361 T^{8} \))(\( 1 - 8 T + 158 T^{2} - 1168 T^{3} + 11998 T^{4} - 68912 T^{5} + 549998 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 230 T^{2} + 348 T^{3} + 20188 T^{4} + 20532 T^{5} + 800630 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T + 158 T^{2} + 1168 T^{3} + 11998 T^{4} + 68912 T^{5} + 549998 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 230 T^{2} - 348 T^{3} + 20188 T^{4} - 20532 T^{5} + 800630 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 + 10 T + 196 T^{2} + 1726 T^{3} + 16158 T^{4} + 101834 T^{5} + 682276 T^{6} + 2053790 T^{7} + 12117361 T^{8} \))(\( 1 - 10 T + 196 T^{2} - 1726 T^{3} + 16158 T^{4} - 101834 T^{5} + 682276 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 + 124 T^{2} + 7734 T^{4} + 431644 T^{6} + 12117361 T^{8} \))(\( 1 + 108 T^{2} + 8598 T^{4} + 375948 T^{6} + 12117361 T^{8} \))(\( 1 + 124 T^{2} + 7734 T^{4} + 431644 T^{6} + 12117361 T^{8} \))(\( 1 + 108 T^{2} + 8598 T^{4} + 375948 T^{6} + 12117361 T^{8} \))(\( 1 - 10 T + 196 T^{2} - 1726 T^{3} + 16158 T^{4} - 101834 T^{5} + 682276 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 + 10 T + 196 T^{2} + 1726 T^{3} + 16158 T^{4} + 101834 T^{5} + 682276 T^{6} + 2053790 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T + 158 T^{2} + 1168 T^{3} + 11998 T^{4} + 68912 T^{5} + 549998 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T + 230 T^{2} - 348 T^{3} + 20188 T^{4} - 20532 T^{5} + 800630 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 8 T + 158 T^{2} - 1168 T^{3} + 11998 T^{4} - 68912 T^{5} + 549998 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 230 T^{2} + 348 T^{3} + 20188 T^{4} + 20532 T^{5} + 800630 T^{6} + 410758 T^{7} + 12117361 T^{8} \))
$61$ (\( 1 - 10 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 7 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 7 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 4 T - 54 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 12 T + 61 T^{2} )^{2} \))(\( ( 1 - 12 T + 61 T^{2} )^{2} \))(\( 1 + 12 T + 106 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 66 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 - 8 T + 66 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( ( 1 - 12 T + 61 T^{2} )^{2} \))(\( 1 + 12 T + 106 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( ( 1 + 12 T + 61 T^{2} )^{2} \))(\( 1 - 16 T + 168 T^{2} - 976 T^{3} + 3721 T^{4} \))(\( ( 1 + 4 T + 61 T^{2} )^{2} \))(\( 1 + 16 T + 168 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( ( 1 - 4 T + 61 T^{2} )^{2} \))(\( 1 - 4 T - 54 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 131 T^{2} - 484 T^{3} + 7991 T^{4} - 22326 T^{5} + 226981 T^{6} \))(\( 1 - 6 T + 131 T^{2} - 484 T^{3} + 7991 T^{4} - 22326 T^{5} + 226981 T^{6} \))(\( ( 1 + 16 T + 184 T^{2} + 976 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 16 T + 184 T^{2} - 976 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 16 T + 178 T^{2} - 976 T^{3} + 3721 T^{4} )^{2} \))(\( 1 - 8 T + 144 T^{2} - 764 T^{3} + 10626 T^{4} - 46604 T^{5} + 535824 T^{6} - 1815848 T^{7} + 13845841 T^{8} \))(\( ( 1 + 16 T + 178 T^{2} + 976 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 8 T + 144 T^{2} + 764 T^{3} + 10626 T^{4} + 46604 T^{5} + 535824 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( ( 1 - 5 T + 61 T^{2} )^{4} \))(\( ( 1 + 5 T + 61 T^{2} )^{4} \))(\( 1 + 160 T^{2} + 12114 T^{4} + 595360 T^{6} + 13845841 T^{8} \))(\( 1 + 36 T^{2} - 234 T^{4} + 133956 T^{6} + 13845841 T^{8} \))(\( 1 + 160 T^{2} + 12114 T^{4} + 595360 T^{6} + 13845841 T^{8} \))(\( 1 + 36 T^{2} - 234 T^{4} + 133956 T^{6} + 13845841 T^{8} \))(\( ( 1 + 5 T + 61 T^{2} )^{4} \))(\( ( 1 - 5 T + 61 T^{2} )^{4} \))(\( ( 1 + 16 T + 178 T^{2} + 976 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 8 T + 144 T^{2} + 764 T^{3} + 10626 T^{4} + 46604 T^{5} + 535824 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( ( 1 - 16 T + 178 T^{2} - 976 T^{3} + 3721 T^{4} )^{2} \))(\( 1 - 8 T + 144 T^{2} - 764 T^{3} + 10626 T^{4} - 46604 T^{5} + 535824 T^{6} - 1815848 T^{7} + 13845841 T^{8} \))
$67$ (\( 1 - 5 T + 67 T^{2} \))(\( 1 - 3 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 16 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 + 8 T + 105 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( 1 - 12 T + 125 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 125 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 24 T + 265 T^{2} + 1608 T^{3} + 4489 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 134 T^{3} + 4489 T^{4} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 - 2 T - 27 T^{2} - 134 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 125 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 24 T + 265 T^{2} - 1608 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 125 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 - 12 T + 95 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 - 12 T + 95 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 105 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 169 T^{2} + 944 T^{3} + 11323 T^{4} + 35912 T^{5} + 300763 T^{6} \))(\( 1 - 8 T + 169 T^{2} - 944 T^{3} + 11323 T^{4} - 35912 T^{5} + 300763 T^{6} \))(\( 1 + 92 T^{2} + 512 T^{3} + 6486 T^{4} + 34304 T^{5} + 412988 T^{6} + 20151121 T^{8} \))(\( 1 + 92 T^{2} + 512 T^{3} + 6486 T^{4} + 34304 T^{5} + 412988 T^{6} + 20151121 T^{8} \))(\( 1 + 12 T + 194 T^{2} + 2008 T^{3} + 18507 T^{4} + 134536 T^{5} + 870866 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 + 6 T + 196 T^{2} + 662 T^{3} + 16381 T^{4} + 44354 T^{5} + 879844 T^{6} + 1804578 T^{7} + 20151121 T^{8} \))(\( 1 + 12 T + 194 T^{2} + 2008 T^{3} + 18507 T^{4} + 134536 T^{5} + 870866 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 + 6 T + 196 T^{2} + 662 T^{3} + 16381 T^{4} + 44354 T^{5} + 879844 T^{6} + 1804578 T^{7} + 20151121 T^{8} \))(\( 1 + T + 251 T^{2} + 192 T^{3} + 24716 T^{4} + 12864 T^{5} + 1126739 T^{6} + 300763 T^{7} + 20151121 T^{8} \))(\( 1 + T + 251 T^{2} + 192 T^{3} + 24716 T^{4} + 12864 T^{5} + 1126739 T^{6} + 300763 T^{7} + 20151121 T^{8} \))(\( 1 + 60 T^{2} + 6806 T^{4} + 269340 T^{6} + 20151121 T^{8} \))(\( 1 + 156 T^{2} + 14742 T^{4} + 700284 T^{6} + 20151121 T^{8} \))(\( 1 + 60 T^{2} + 6806 T^{4} + 269340 T^{6} + 20151121 T^{8} \))(\( 1 + 156 T^{2} + 14742 T^{4} + 700284 T^{6} + 20151121 T^{8} \))(\( 1 - T + 251 T^{2} - 192 T^{3} + 24716 T^{4} - 12864 T^{5} + 1126739 T^{6} - 300763 T^{7} + 20151121 T^{8} \))(\( 1 - T + 251 T^{2} - 192 T^{3} + 24716 T^{4} - 12864 T^{5} + 1126739 T^{6} - 300763 T^{7} + 20151121 T^{8} \))(\( 1 - 12 T + 194 T^{2} - 2008 T^{3} + 18507 T^{4} - 134536 T^{5} + 870866 T^{6} - 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 6 T + 196 T^{2} - 662 T^{3} + 16381 T^{4} - 44354 T^{5} + 879844 T^{6} - 1804578 T^{7} + 20151121 T^{8} \))(\( 1 - 12 T + 194 T^{2} - 2008 T^{3} + 18507 T^{4} - 134536 T^{5} + 870866 T^{6} - 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 6 T + 196 T^{2} - 662 T^{3} + 16381 T^{4} - 44354 T^{5} + 879844 T^{6} - 1804578 T^{7} + 20151121 T^{8} \))
$71$ (\( 1 + 6 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 10 T + 147 T^{2} + 710 T^{3} + 5041 T^{4} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 + 134 T^{2} + 5041 T^{4} \))(\( 1 - 12 T + 173 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 173 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( ( 1 + 3 T + 71 T^{2} )^{2} \))(\( 1 + 4 T + 144 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 20 T + 222 T^{2} - 1420 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 144 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 173 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( ( 1 + 3 T + 71 T^{2} )^{2} \))(\( 1 - 12 T + 173 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 2 T + 116 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 2 T + 116 T^{2} - 142 T^{3} + 5041 T^{4} \))(\( 1 + 10 T + 147 T^{2} + 710 T^{3} + 5041 T^{4} \))(\( ( 1 - 2 T + 71 T^{2} )^{3} \))(\( ( 1 - 2 T + 71 T^{2} )^{3} \))(\( 1 + 8 T + 212 T^{2} + 1608 T^{3} + 20054 T^{4} + 114168 T^{5} + 1068692 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 + 8 T + 212 T^{2} + 1608 T^{3} + 20054 T^{4} + 114168 T^{5} + 1068692 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 116 T^{2} - 348 T^{3} + 9773 T^{4} - 24708 T^{5} + 584756 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 14 T + 194 T^{2} + 1648 T^{3} + 14264 T^{4} + 117008 T^{5} + 977954 T^{6} + 5010754 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 116 T^{2} - 348 T^{3} + 9773 T^{4} - 24708 T^{5} + 584756 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 14 T + 194 T^{2} + 1648 T^{3} + 14264 T^{4} + 117008 T^{5} + 977954 T^{6} + 5010754 T^{7} + 25411681 T^{8} \))(\( 1 - 22 T + 252 T^{2} - 1806 T^{3} + 12966 T^{4} - 128226 T^{5} + 1270332 T^{6} - 7874042 T^{7} + 25411681 T^{8} \))(\( 1 - 22 T + 252 T^{2} - 1806 T^{3} + 12966 T^{4} - 128226 T^{5} + 1270332 T^{6} - 7874042 T^{7} + 25411681 T^{8} \))(\( ( 1 - 8 T + 50 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 8 T + 138 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 50 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 8 T + 138 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} \))(\( 1 - 22 T + 252 T^{2} - 1806 T^{3} + 12966 T^{4} - 128226 T^{5} + 1270332 T^{6} - 7874042 T^{7} + 25411681 T^{8} \))(\( 1 - 22 T + 252 T^{2} - 1806 T^{3} + 12966 T^{4} - 128226 T^{5} + 1270332 T^{6} - 7874042 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 116 T^{2} - 348 T^{3} + 9773 T^{4} - 24708 T^{5} + 584756 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 14 T + 194 T^{2} + 1648 T^{3} + 14264 T^{4} + 117008 T^{5} + 977954 T^{6} + 5010754 T^{7} + 25411681 T^{8} \))(\( 1 - 4 T + 116 T^{2} - 348 T^{3} + 9773 T^{4} - 24708 T^{5} + 584756 T^{6} - 1431644 T^{7} + 25411681 T^{8} \))(\( 1 + 14 T + 194 T^{2} + 1648 T^{3} + 14264 T^{4} + 117008 T^{5} + 977954 T^{6} + 5010754 T^{7} + 25411681 T^{8} \))
$73$ (\( 1 - 3 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 2 T + 142 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 28 T + 334 T^{2} - 2044 T^{3} + 5329 T^{4} \))(\( 1 + 28 T + 334 T^{2} + 2044 T^{3} + 5329 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1460 T^{3} + 5329 T^{4} \))(\( 1 - 20 T + 226 T^{2} - 1460 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 142 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 121 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 - 10 T + 121 T^{2} - 730 T^{3} + 5329 T^{4} \))(\( 1 + 20 T + 226 T^{2} + 1460 T^{3} + 5329 T^{4} \))(\( 1 - 6 T + 142 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 - 20 T + 226 T^{2} - 1460 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 64 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 87 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 64 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 87 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 2 T + 142 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 + 18 T + 311 T^{2} + 2732 T^{3} + 22703 T^{4} + 95922 T^{5} + 389017 T^{6} \))(\( 1 - 18 T + 311 T^{2} - 2732 T^{3} + 22703 T^{4} - 95922 T^{5} + 389017 T^{6} \))(\( 1 + 164 T^{2} + 128 T^{3} + 16374 T^{4} + 9344 T^{5} + 873956 T^{6} + 28398241 T^{8} \))(\( 1 + 164 T^{2} - 128 T^{3} + 16374 T^{4} - 9344 T^{5} + 873956 T^{6} + 28398241 T^{8} \))(\( 1 + 134 T^{2} - 160 T^{3} + 11790 T^{4} - 11680 T^{5} + 714086 T^{6} + 28398241 T^{8} \))(\( 1 - 12 T + 228 T^{2} - 1834 T^{3} + 21241 T^{4} - 133882 T^{5} + 1215012 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 134 T^{2} + 160 T^{3} + 11790 T^{4} + 11680 T^{5} + 714086 T^{6} + 28398241 T^{8} \))(\( 1 + 12 T + 228 T^{2} + 1834 T^{3} + 21241 T^{4} + 133882 T^{5} + 1215012 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 4 T + 170 T^{2} + 48 T^{3} + 12595 T^{4} + 3504 T^{5} + 905930 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 4 T + 170 T^{2} - 48 T^{3} + 12595 T^{4} - 3504 T^{5} + 905930 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( ( 1 - 8 T + 114 T^{2} - 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 10 T + 166 T^{2} + 730 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 8 T + 114 T^{2} + 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 10 T + 166 T^{2} - 730 T^{3} + 5329 T^{4} )^{2} \))(\( 1 - 4 T + 170 T^{2} + 48 T^{3} + 12595 T^{4} + 3504 T^{5} + 905930 T^{6} - 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 4 T + 170 T^{2} - 48 T^{3} + 12595 T^{4} - 3504 T^{5} + 905930 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 134 T^{2} - 160 T^{3} + 11790 T^{4} - 11680 T^{5} + 714086 T^{6} + 28398241 T^{8} \))(\( 1 - 12 T + 228 T^{2} - 1834 T^{3} + 21241 T^{4} - 133882 T^{5} + 1215012 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 134 T^{2} + 160 T^{3} + 11790 T^{4} + 11680 T^{5} + 714086 T^{6} + 28398241 T^{8} \))(\( 1 + 12 T + 228 T^{2} + 1834 T^{3} + 21241 T^{4} + 133882 T^{5} + 1215012 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))
$79$ (\( 1 + T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 169 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( 1 - 8 T + 129 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 129 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 57 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 127 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 127 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 129 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 57 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 129 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 - 6 T + 59 T^{2} - 474 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 - 6 T + 59 T^{2} - 474 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 169 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 221 T^{2} - 1576 T^{3} + 17459 T^{4} - 74892 T^{5} + 493039 T^{6} \))(\( 1 - 12 T + 221 T^{2} - 1576 T^{3} + 17459 T^{4} - 74892 T^{5} + 493039 T^{6} \))(\( 1 + 132 T^{2} - 384 T^{3} + 10950 T^{4} - 30336 T^{5} + 823812 T^{6} + 38950081 T^{8} \))(\( 1 + 132 T^{2} - 384 T^{3} + 10950 T^{4} - 30336 T^{5} + 823812 T^{6} + 38950081 T^{8} \))(\( 1 + 114 T^{2} + 7539 T^{4} + 711474 T^{6} + 38950081 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1212 T^{3} + 20195 T^{4} + 95748 T^{5} + 1011042 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 114 T^{2} + 7539 T^{4} + 711474 T^{6} + 38950081 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1212 T^{3} + 20195 T^{4} + 95748 T^{5} + 1011042 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 246 T^{2} - 1764 T^{3} + 26539 T^{4} - 139356 T^{5} + 1535286 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 246 T^{2} - 1764 T^{3} + 26539 T^{4} - 139356 T^{5} + 1535286 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( ( 1 + 16 T + 210 T^{2} + 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 16 T + 210 T^{2} + 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 8 T + 246 T^{2} - 1764 T^{3} + 26539 T^{4} - 139356 T^{5} + 1535286 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T + 246 T^{2} - 1764 T^{3} + 26539 T^{4} - 139356 T^{5} + 1535286 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 114 T^{2} + 7539 T^{4} + 711474 T^{6} + 38950081 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1212 T^{3} + 20195 T^{4} + 95748 T^{5} + 1011042 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 114 T^{2} + 7539 T^{4} + 711474 T^{6} + 38950081 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1212 T^{3} + 20195 T^{4} + 95748 T^{5} + 1011042 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))
$83$ (\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 16 T + 210 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 150 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 150 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 150 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 130 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 180 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 150 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 180 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 130 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 150 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 6 T + 28 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 + 6 T + 28 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 210 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 185 T^{2} - 1072 T^{3} + 15355 T^{4} - 55112 T^{5} + 571787 T^{6} \))(\( 1 + 8 T + 185 T^{2} + 1072 T^{3} + 15355 T^{4} + 55112 T^{5} + 571787 T^{6} \))(\( ( 1 + 20 T + 258 T^{2} + 1660 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 20 T + 258 T^{2} - 1660 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 20 T + 292 T^{2} - 3004 T^{3} + 28002 T^{4} - 249332 T^{5} + 2011588 T^{6} - 11435740 T^{7} + 47458321 T^{8} \))(\( 1 + 6 T + 276 T^{2} + 1256 T^{3} + 32400 T^{4} + 104248 T^{5} + 1901364 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + 20 T + 292 T^{2} + 3004 T^{3} + 28002 T^{4} + 249332 T^{5} + 2011588 T^{6} + 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T + 276 T^{2} - 1256 T^{3} + 32400 T^{4} - 104248 T^{5} + 1901364 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 2 T + 220 T^{2} - 894 T^{3} + 22430 T^{4} - 74202 T^{5} + 1515580 T^{6} - 1143574 T^{7} + 47458321 T^{8} \))(\( 1 + 2 T + 220 T^{2} + 894 T^{3} + 22430 T^{4} + 74202 T^{5} + 1515580 T^{6} + 1143574 T^{7} + 47458321 T^{8} \))(\( ( 1 - 6 T + 83 T^{2} )^{4} \))(\( ( 1 + 4 T + 150 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{4} \))(\( ( 1 - 4 T + 150 T^{2} - 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 2 T + 220 T^{2} - 894 T^{3} + 22430 T^{4} - 74202 T^{5} + 1515580 T^{6} - 1143574 T^{7} + 47458321 T^{8} \))(\( 1 + 2 T + 220 T^{2} + 894 T^{3} + 22430 T^{4} + 74202 T^{5} + 1515580 T^{6} + 1143574 T^{7} + 47458321 T^{8} \))(\( 1 - 20 T + 292 T^{2} - 3004 T^{3} + 28002 T^{4} - 249332 T^{5} + 2011588 T^{6} - 11435740 T^{7} + 47458321 T^{8} \))(\( 1 + 6 T + 276 T^{2} + 1256 T^{3} + 32400 T^{4} + 104248 T^{5} + 1901364 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 + 20 T + 292 T^{2} + 3004 T^{3} + 28002 T^{4} + 249332 T^{5} + 2011588 T^{6} + 11435740 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T + 276 T^{2} - 1256 T^{3} + 32400 T^{4} - 104248 T^{5} + 1901364 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))
$89$ (\( 1 - 16 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 2 T + 134 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 86 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 86 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 194 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 194 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 70 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 224 T^{2} - 1424 T^{3} + 7921 T^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{2} \))(\( 1 + 16 T + 224 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 194 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 70 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 194 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 20 T + 260 T^{2} + 1780 T^{3} + 7921 T^{4} \))(\( 1 + 6 T + 40 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 20 T + 260 T^{2} - 1780 T^{3} + 7921 T^{4} \))(\( 1 - 6 T + 40 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 2 T + 134 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 + 14 T + 319 T^{2} + 2532 T^{3} + 28391 T^{4} + 110894 T^{5} + 704969 T^{6} \))(\( 1 + 14 T + 319 T^{2} + 2532 T^{3} + 28391 T^{4} + 110894 T^{5} + 704969 T^{6} \))(\( ( 1 + 4 T + 174 T^{2} + 356 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 4 T + 174 T^{2} - 356 T^{3} + 7921 T^{4} )^{2} \))(\( 1 - 8 T + 142 T^{2} + 368 T^{3} + 2742 T^{4} + 32752 T^{5} + 1124782 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1150 T^{3} + 12460 T^{4} + 102350 T^{5} + 1283202 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 142 T^{2} - 368 T^{3} + 2742 T^{4} - 32752 T^{5} + 1124782 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T + 162 T^{2} - 1150 T^{3} + 12460 T^{4} - 102350 T^{5} + 1283202 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 10 T + 360 T^{2} - 2586 T^{3} + 48262 T^{4} - 230154 T^{5} + 2851560 T^{6} - 7049690 T^{7} + 62742241 T^{8} \))(\( 1 + 10 T + 360 T^{2} + 2586 T^{3} + 48262 T^{4} + 230154 T^{5} + 2851560 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 + 100 T^{2} + 6054 T^{4} + 792100 T^{6} + 62742241 T^{8} \))(\( 1 + 104 T^{2} + 16926 T^{4} + 823784 T^{6} + 62742241 T^{8} \))(\( 1 + 100 T^{2} + 6054 T^{4} + 792100 T^{6} + 62742241 T^{8} \))(\( 1 + 104 T^{2} + 16926 T^{4} + 823784 T^{6} + 62742241 T^{8} \))(\( 1 + 10 T + 360 T^{2} + 2586 T^{3} + 48262 T^{4} + 230154 T^{5} + 2851560 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 - 10 T + 360 T^{2} - 2586 T^{3} + 48262 T^{4} - 230154 T^{5} + 2851560 T^{6} - 7049690 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 142 T^{2} - 368 T^{3} + 2742 T^{4} - 32752 T^{5} + 1124782 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T + 162 T^{2} - 1150 T^{3} + 12460 T^{4} - 102350 T^{5} + 1283202 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T + 142 T^{2} + 368 T^{3} + 2742 T^{4} + 32752 T^{5} + 1124782 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T + 162 T^{2} + 1150 T^{3} + 12460 T^{4} + 102350 T^{5} + 1283202 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))
$97$ (\( 1 - 6 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 9 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 9 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 9 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 9 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 126 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( ( 1 + 4 T + 97 T^{2} )^{2} \))(\( ( 1 - 4 T + 97 T^{2} )^{2} \))(\( 1 + 16 T + 206 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 250 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 190 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 250 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( ( 1 + 4 T + 97 T^{2} )^{2} \))(\( 1 - 16 T + 206 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( ( 1 - 4 T + 97 T^{2} )^{2} \))(\( 1 + 8 T + 208 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 208 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 210 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 + 22 T + 255 T^{2} + 2404 T^{3} + 24735 T^{4} + 206998 T^{5} + 912673 T^{6} \))(\( 1 - 22 T + 255 T^{2} - 2404 T^{3} + 24735 T^{4} - 206998 T^{5} + 912673 T^{6} \))(\( 1 + 196 T^{2} + 1280 T^{3} + 17174 T^{4} + 124160 T^{5} + 1844164 T^{6} + 88529281 T^{8} \))(\( 1 + 196 T^{2} - 1280 T^{3} + 17174 T^{4} - 124160 T^{5} + 1844164 T^{6} + 88529281 T^{8} \))(\( 1 + 24 T + 496 T^{2} + 6296 T^{3} + 73730 T^{4} + 610712 T^{5} + 4666864 T^{6} + 21904152 T^{7} + 88529281 T^{8} \))(\( 1 + 2 T + 380 T^{2} + 566 T^{3} + 54898 T^{4} + 54902 T^{5} + 3575420 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 24 T + 496 T^{2} - 6296 T^{3} + 73730 T^{4} - 610712 T^{5} + 4666864 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T + 380 T^{2} - 566 T^{3} + 54898 T^{4} - 54902 T^{5} + 3575420 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 + 12 T + 330 T^{2} + 3296 T^{3} + 45123 T^{4} + 319712 T^{5} + 3104970 T^{6} + 10952076 T^{7} + 88529281 T^{8} \))(\( 1 - 12 T + 330 T^{2} - 3296 T^{3} + 45123 T^{4} - 319712 T^{5} + 3104970 T^{6} - 10952076 T^{7} + 88529281 T^{8} \))(\( ( 1 - 24 T + 290 T^{2} - 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 2 T + 70 T^{2} - 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 24 T + 290 T^{2} + 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 70 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 12 T + 330 T^{2} + 3296 T^{3} + 45123 T^{4} + 319712 T^{5} + 3104970 T^{6} + 10952076 T^{7} + 88529281 T^{8} \))(\( 1 - 12 T + 330 T^{2} - 3296 T^{3} + 45123 T^{4} - 319712 T^{5} + 3104970 T^{6} - 10952076 T^{7} + 88529281 T^{8} \))(\( 1 + 24 T + 496 T^{2} + 6296 T^{3} + 73730 T^{4} + 610712 T^{5} + 4666864 T^{6} + 21904152 T^{7} + 88529281 T^{8} \))(\( 1 + 2 T + 380 T^{2} + 566 T^{3} + 54898 T^{4} + 54902 T^{5} + 3575420 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 24 T + 496 T^{2} - 6296 T^{3} + 73730 T^{4} - 610712 T^{5} + 4666864 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T + 380 T^{2} - 566 T^{3} + 54898 T^{4} - 54902 T^{5} + 3575420 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))
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