Properties

Label 6600.2.a
Level 6600
Weight 2
Character orbit a
Rep. character \(\chi_{6600}(1,\cdot)\)
Character field \(\Q\)
Dimension 96
Newform subspaces 53
Sturm bound 2880
Trace bound 17

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Defining parameters

Level: \( N \) \(=\) \( 6600 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6600.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 53 \)
Sturm bound: \(2880\)
Trace bound: \(17\)
Distinguishing \(T_p\): \(7\), \(13\), \(17\), \(19\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(6600))\).

Total New Old
Modular forms 1488 96 1392
Cusp forms 1393 96 1297
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.

\(2\)\(3\)\(5\)\(11\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(+\)\(4\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(5\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(8\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(6\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(8\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(4\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(4\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(8\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(4\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(6\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(7\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(7\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(6\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(7\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(7\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(5\)
Plus space\(+\)\(42\)
Minus space\(-\)\(54\)

Trace form

\( 96q + 2q^{3} + 4q^{7} + 96q^{9} + O(q^{10}) \) \( 96q + 2q^{3} + 4q^{7} + 96q^{9} - 4q^{17} + 4q^{19} + 4q^{21} - 4q^{23} + 2q^{27} - 36q^{29} - 2q^{33} - 8q^{37} + 4q^{39} - 44q^{41} + 12q^{43} - 4q^{47} + 104q^{49} - 8q^{51} + 4q^{53} + 4q^{57} + 8q^{59} - 32q^{61} + 4q^{63} + 8q^{67} + 4q^{69} + 36q^{71} + 8q^{73} + 60q^{79} + 96q^{81} + 16q^{83} - 8q^{87} - 24q^{89} + 16q^{91} - 8q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(6600))\) into newform subspaces

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 5 11
6600.2.a.a \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
6600.2.a.b \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}-3q^{7}+q^{9}-q^{11}-5q^{13}+\cdots\)
6600.2.a.c \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}-3q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
6600.2.a.d \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}-4q^{17}+\cdots\)
6600.2.a.e \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}+2q^{17}+\cdots\)
6600.2.a.f \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
6600.2.a.g \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6600.2.a.h \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}+q^{9}+q^{11}-q^{13}-2q^{17}+\cdots\)
6600.2.a.i \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}+3q^{17}+\cdots\)
6600.2.a.j \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}-4q^{17}+\cdots\)
6600.2.a.k \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+6q^{17}+\cdots\)
6600.2.a.l \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+q^{13}-4q^{17}+\cdots\)
6600.2.a.m \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.n \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+2q^{7}+q^{9}+q^{11}+8q^{17}+\cdots\)
6600.2.a.o \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+q^{11}-3q^{17}+\cdots\)
6600.2.a.p \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
6600.2.a.q \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
6600.2.a.r \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-4q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
6600.2.a.s \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}-3q^{7}+q^{9}+q^{11}+3q^{17}+\cdots\)
6600.2.a.t \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-q^{11}-q^{13}+4q^{17}+\cdots\)
6600.2.a.u \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.v \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}-3q^{17}+\cdots\)
6600.2.a.w \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{7}+q^{9}+q^{11}+q^{13}+2q^{17}+\cdots\)
6600.2.a.x \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+q^{9}-q^{11}+2q^{13}+6q^{17}+\cdots\)
6600.2.a.y \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+q^{9}+q^{11}-2q^{13}-6q^{17}+\cdots\)
6600.2.a.z \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+q^{9}+q^{11}+6q^{13}+6q^{17}+\cdots\)
6600.2.a.ba \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{7}+q^{9}-q^{11}+q^{17}+q^{19}+\cdots\)
6600.2.a.bb \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.bc \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}+2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
6600.2.a.bd \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(3\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+3q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.be \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(3\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+3q^{7}+q^{9}-q^{11}+5q^{13}+\cdots\)
6600.2.a.bf \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
6600.2.a.bg \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(-5\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+(-2-\beta )q^{7}+q^{9}+q^{11}+(-3+\cdots)q^{13}+\cdots\)
6600.2.a.bh \(2\) \(52.701\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+\beta q^{7}+q^{9}+q^{11}+(-2-\beta )q^{13}+\cdots\)
6600.2.a.bi \(2\) \(52.701\) \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots\)
6600.2.a.bj \(2\) \(52.701\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}+(-1+\beta )q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots\)
6600.2.a.bk \(2\) \(52.701\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}+\beta q^{7}+q^{9}-q^{11}+(-2-\beta )q^{13}+\cdots\)
6600.2.a.bl \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
6600.2.a.bm \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(5\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+(3-\beta )q^{7}+q^{9}+q^{11}+(1+2\beta )q^{13}+\cdots\)
6600.2.a.bn \(3\) \(52.701\) 3.3.2024.1 None \(0\) \(-3\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+(-1-\beta _{1})q^{7}+q^{9}+q^{11}+\cdots\)
6600.2.a.bo \(3\) \(52.701\) 3.3.1304.1 None \(0\) \(-3\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}+\beta _{2}q^{7}+q^{9}-q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots\)
6600.2.a.bp \(3\) \(52.701\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.bq \(3\) \(52.701\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+(1-\beta _{2})q^{7}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.br \(3\) \(52.701\) 3.3.9192.1 None \(0\) \(-3\) \(0\) \(4\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(1+\beta _{1})q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.bs \(3\) \(52.701\) 3.3.9192.1 None \(0\) \(3\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+(-1-\beta _{1})q^{7}+q^{9}-q^{11}+\cdots\)
6600.2.a.bt \(3\) \(52.701\) 3.3.148.1 None \(0\) \(3\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1+\beta _{1})q^{7}+q^{9}-q^{11}+\cdots\)
6600.2.a.bu \(3\) \(52.701\) 3.3.148.1 None \(0\) \(3\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}+(-1+\beta _{2})q^{7}+q^{9}+q^{11}+\cdots\)
6600.2.a.bv \(3\) \(52.701\) 3.3.1304.1 None \(0\) \(3\) \(0\) \(1\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-\beta _{2}q^{7}+q^{9}-q^{11}+(-1-\beta _{1}+\cdots)q^{13}+\cdots\)
6600.2.a.bw \(3\) \(52.701\) 3.3.2024.1 None \(0\) \(3\) \(0\) \(4\) \(+\) \(-\) \(-\) \(-\) \(q+q^{3}+(1+\beta _{1})q^{7}+q^{9}+q^{11}+\beta _{2}q^{13}+\cdots\)
6600.2.a.bx \(5\) \(52.701\) 5.5.2389280.1 None \(0\) \(-5\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-\beta _{1}q^{7}+q^{9}-q^{11}+(-\beta _{3}+\cdots)q^{13}+\cdots\)
6600.2.a.by \(5\) \(52.701\) 5.5.1633440.1 None \(0\) \(-5\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+\beta _{2}q^{7}+q^{9}+q^{11}+(-2-\beta _{1}+\cdots)q^{13}+\cdots\)
6600.2.a.bz \(5\) \(52.701\) 5.5.2389280.1 None \(0\) \(5\) \(0\) \(2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+\beta _{1}q^{7}+q^{9}-q^{11}+(\beta _{3}+\beta _{4})q^{13}+\cdots\)
6600.2.a.ca \(5\) \(52.701\) 5.5.1633440.1 None \(0\) \(5\) \(0\) \(2\) \(+\) \(-\) \(-\) \(-\) \(q+q^{3}-\beta _{2}q^{7}+q^{9}+q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(6600))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(6600)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(33))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(40))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(44))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(50))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(55))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(66))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(88))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(100))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(110))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(120))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(132))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(150))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(165))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(200))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(220))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(264))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(275))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(300))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(330))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(440))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(550))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(600))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(660))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(825))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1100))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1320))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1650))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2200))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3300))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 - T )^{5} \))
$5$ 1
$7$ (\( 1 + 4 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 16 T^{2} + 35 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T + 9 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 - 2 T - 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 5 T + 16 T^{2} - 35 T^{3} + 49 T^{4} \))(\( 1 + 4 T + 16 T^{2} + 54 T^{3} + 112 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 + T + 10 T^{2} + 15 T^{3} + 70 T^{4} + 49 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 17 T^{2} - 24 T^{3} + 119 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 13 T^{2} - 32 T^{3} + 91 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 - 4 T + 8 T^{2} - 10 T^{3} + 56 T^{4} - 196 T^{5} + 343 T^{6} \))(\( 1 + 4 T + 8 T^{2} + 10 T^{3} + 56 T^{4} + 196 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 17 T^{2} + 24 T^{3} + 119 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 13 T^{2} + 32 T^{3} + 91 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 - T + 10 T^{2} - 15 T^{3} + 70 T^{4} - 49 T^{5} + 343 T^{6} \))(\( 1 - 4 T + 16 T^{2} - 54 T^{3} + 112 T^{4} - 196 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 9 T^{2} + 96 T^{4} + 148 T^{5} + 672 T^{6} + 3087 T^{8} + 4802 T^{9} + 16807 T^{10} \))(\( 1 + 2 T + 13 T^{2} + 8 T^{3} + 12 T^{4} - 76 T^{5} + 84 T^{6} + 392 T^{7} + 4459 T^{8} + 4802 T^{9} + 16807 T^{10} \))(\( 1 - 2 T + 9 T^{2} + 96 T^{4} - 148 T^{5} + 672 T^{6} + 3087 T^{8} - 4802 T^{9} + 16807 T^{10} \))(\( 1 - 2 T + 13 T^{2} - 8 T^{3} + 12 T^{4} + 76 T^{5} + 84 T^{6} - 392 T^{7} + 4459 T^{8} - 4802 T^{9} + 16807 T^{10} \))
$11$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))(\( ( 1 + T )^{5} \))(\( ( 1 - T )^{5} \))
$13$ (\( 1 + 6 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T^{2} + 169 T^{4} \))(\( 1 + 2 T^{2} + 169 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T + 10 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 13 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + T + 23 T^{2} + 2 T^{3} + 299 T^{4} + 169 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 31 T^{2} - 70 T^{3} + 403 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 35 T^{2} - 84 T^{3} + 455 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - 4 T + 39 T^{2} - 100 T^{3} + 507 T^{4} - 676 T^{5} + 2197 T^{6} \))(\( 1 - 3 T - 9 T^{2} + 58 T^{3} - 117 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 + 3 T - 9 T^{2} - 58 T^{3} - 117 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 + 4 T + 35 T^{2} + 84 T^{3} + 455 T^{4} + 676 T^{5} + 2197 T^{6} \))(\( 1 + 4 T + 39 T^{2} + 100 T^{3} + 507 T^{4} + 676 T^{5} + 2197 T^{6} \))(\( 1 + 3 T + 31 T^{2} + 70 T^{3} + 403 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 - T + 23 T^{2} - 2 T^{3} + 299 T^{4} - 169 T^{5} + 2197 T^{6} \))(\( 1 + 19 T^{2} - 84 T^{3} + 192 T^{4} - 1536 T^{5} + 2496 T^{6} - 14196 T^{7} + 41743 T^{8} + 371293 T^{10} \))(\( 1 + 8 T + 47 T^{2} + 156 T^{3} + 604 T^{4} + 1808 T^{5} + 7852 T^{6} + 26364 T^{7} + 103259 T^{8} + 228488 T^{9} + 371293 T^{10} \))(\( 1 + 19 T^{2} + 84 T^{3} + 192 T^{4} + 1536 T^{5} + 2496 T^{6} + 14196 T^{7} + 41743 T^{8} + 371293 T^{10} \))(\( 1 - 8 T + 47 T^{2} - 156 T^{3} + 604 T^{4} - 1808 T^{5} + 7852 T^{6} - 26364 T^{7} + 103259 T^{8} - 228488 T^{9} + 371293 T^{10} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 18 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 10 T + 53 T^{2} - 170 T^{3} + 289 T^{4} \))(\( 1 + 10 T + 53 T^{2} + 170 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 2 T + 42 T^{2} + 52 T^{3} + 714 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 4 T + 26 T^{2} - 34 T^{3} + 442 T^{4} - 1156 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 19 T^{2} + 120 T^{3} + 323 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 47 T^{2} - 64 T^{3} + 799 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 34 T^{2} + 80 T^{3} + 578 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 34 T^{2} - 80 T^{3} + 578 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 19 T^{2} - 120 T^{3} + 323 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( 1 + 2 T + 47 T^{2} + 64 T^{3} + 799 T^{4} + 578 T^{5} + 4913 T^{6} \))(\( 1 + 4 T + 26 T^{2} + 34 T^{3} + 442 T^{4} + 1156 T^{5} + 4913 T^{6} \))(\( 1 - 2 T + 42 T^{2} - 52 T^{3} + 714 T^{4} - 578 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 69 T^{2} - 300 T^{3} + 2010 T^{4} - 6860 T^{5} + 34170 T^{6} - 86700 T^{7} + 338997 T^{8} - 501126 T^{9} + 1419857 T^{10} \))(\( 1 + 6 T + 33 T^{2} + 84 T^{3} - 82 T^{4} - 356 T^{5} - 1394 T^{6} + 24276 T^{7} + 162129 T^{8} + 501126 T^{9} + 1419857 T^{10} \))(\( 1 + 6 T + 69 T^{2} + 300 T^{3} + 2010 T^{4} + 6860 T^{5} + 34170 T^{6} + 86700 T^{7} + 338997 T^{8} + 501126 T^{9} + 1419857 T^{10} \))(\( 1 - 6 T + 33 T^{2} - 84 T^{3} - 82 T^{4} + 356 T^{5} - 1394 T^{6} - 24276 T^{7} + 162129 T^{8} - 501126 T^{9} + 1419857 T^{10} \))
$19$ (\( 1 + 8 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 2 T + 33 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 33 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 + 6 T^{2} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( 1 - T + 30 T^{2} - 47 T^{3} + 570 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 + 7 T + 34 T^{2} + 93 T^{3} + 646 T^{4} + 2527 T^{5} + 6859 T^{6} \))(\( 1 + 2 T + 37 T^{2} + 68 T^{3} + 703 T^{4} + 722 T^{5} + 6859 T^{6} \))(\( ( 1 + 2 T + 19 T^{2} )^{3} \))(\( 1 + T + 14 T^{2} + 127 T^{3} + 266 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + T + 14 T^{2} + 127 T^{3} + 266 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + 2 T + 37 T^{2} + 68 T^{3} + 703 T^{4} + 722 T^{5} + 6859 T^{6} \))(\( ( 1 + 2 T + 19 T^{2} )^{3} \))(\( 1 + 7 T + 34 T^{2} + 93 T^{3} + 646 T^{4} + 2527 T^{5} + 6859 T^{6} \))(\( 1 - T + 30 T^{2} - 47 T^{3} + 570 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 - 2 T + 43 T^{2} - 80 T^{3} + 1286 T^{4} - 2108 T^{5} + 24434 T^{6} - 28880 T^{7} + 294937 T^{8} - 260642 T^{9} + 2476099 T^{10} \))(\( 1 - 6 T + 43 T^{2} - 240 T^{3} + 1286 T^{4} - 5428 T^{5} + 24434 T^{6} - 86640 T^{7} + 294937 T^{8} - 781926 T^{9} + 2476099 T^{10} \))(\( 1 - 2 T + 43 T^{2} - 80 T^{3} + 1286 T^{4} - 2108 T^{5} + 24434 T^{6} - 28880 T^{7} + 294937 T^{8} - 260642 T^{9} + 2476099 T^{10} \))(\( 1 - 6 T + 43 T^{2} - 240 T^{3} + 1286 T^{4} - 5428 T^{5} + 24434 T^{6} - 86640 T^{7} + 294937 T^{8} - 781926 T^{9} + 2476099 T^{10} \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - T + 8 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( ( 1 + T + 23 T^{2} )^{2} \))(\( ( 1 - T + 23 T^{2} )^{2} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 + T + 8 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + T + 4 T^{2} + 173 T^{3} + 92 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 34 T^{2} - 38 T^{3} + 782 T^{4} - 2116 T^{5} + 12167 T^{6} \))(\( ( 1 + 23 T^{2} )^{3} \))(\( 1 + 5 T^{2} - 128 T^{3} + 115 T^{4} + 12167 T^{6} \))(\( ( 1 + 5 T + 23 T^{2} )^{3} \))(\( ( 1 - 5 T + 23 T^{2} )^{3} \))(\( ( 1 + 23 T^{2} )^{3} \))(\( 1 + 5 T^{2} + 128 T^{3} + 115 T^{4} + 12167 T^{6} \))(\( 1 + 4 T + 34 T^{2} + 38 T^{3} + 782 T^{4} + 2116 T^{5} + 12167 T^{6} \))(\( 1 - T + 4 T^{2} - 173 T^{3} + 92 T^{4} - 529 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 29 T^{2} + 80 T^{3} + 764 T^{4} + 984 T^{5} + 17572 T^{6} + 42320 T^{7} + 352843 T^{8} + 1119364 T^{9} + 6436343 T^{10} \))(\( 1 + 4 T + 69 T^{2} + 336 T^{3} + 2692 T^{4} + 10456 T^{5} + 61916 T^{6} + 177744 T^{7} + 839523 T^{8} + 1119364 T^{9} + 6436343 T^{10} \))(\( 1 - 4 T + 29 T^{2} - 80 T^{3} + 764 T^{4} - 984 T^{5} + 17572 T^{6} - 42320 T^{7} + 352843 T^{8} - 1119364 T^{9} + 6436343 T^{10} \))(\( 1 - 4 T + 69 T^{2} - 336 T^{3} + 2692 T^{4} - 10456 T^{5} + 61916 T^{6} - 177744 T^{7} + 839523 T^{8} - 1119364 T^{9} + 6436343 T^{10} \))
$29$ (\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 7 T + 32 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 + 34 T^{2} + 841 T^{4} \))(\( 1 + 34 T^{2} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 7 T + 32 T^{2} - 203 T^{3} + 841 T^{4} \))(\( 1 - T + 71 T^{2} - 34 T^{3} + 2059 T^{4} - 841 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 31 T^{2} + 68 T^{3} + 899 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 + 12 T + 119 T^{2} + 712 T^{3} + 3451 T^{4} + 10092 T^{5} + 24389 T^{6} \))(\( 1 + 20 T + 207 T^{2} + 1368 T^{3} + 6003 T^{4} + 16820 T^{5} + 24389 T^{6} \))(\( 1 - 3 T + 39 T^{2} - 38 T^{3} + 1131 T^{4} - 2523 T^{5} + 24389 T^{6} \))(\( 1 - 3 T + 39 T^{2} - 38 T^{3} + 1131 T^{4} - 2523 T^{5} + 24389 T^{6} \))(\( 1 + 12 T + 119 T^{2} + 712 T^{3} + 3451 T^{4} + 10092 T^{5} + 24389 T^{6} \))(\( 1 + 20 T + 207 T^{2} + 1368 T^{3} + 6003 T^{4} + 16820 T^{5} + 24389 T^{6} \))(\( 1 + 2 T + 31 T^{2} + 68 T^{3} + 899 T^{4} + 1682 T^{5} + 24389 T^{6} \))(\( 1 - T + 71 T^{2} - 34 T^{3} + 2059 T^{4} - 841 T^{5} + 24389 T^{6} \))(\( 1 - 4 T + 101 T^{2} - 288 T^{3} + 4966 T^{4} - 11448 T^{5} + 144014 T^{6} - 242208 T^{7} + 2463289 T^{8} - 2829124 T^{9} + 20511149 T^{10} \))(\( 1 - 12 T + 109 T^{2} - 576 T^{3} + 2750 T^{4} - 12008 T^{5} + 79750 T^{6} - 484416 T^{7} + 2658401 T^{8} - 8487372 T^{9} + 20511149 T^{10} \))(\( 1 - 4 T + 101 T^{2} - 288 T^{3} + 4966 T^{4} - 11448 T^{5} + 144014 T^{6} - 242208 T^{7} + 2463289 T^{8} - 2829124 T^{9} + 20511149 T^{10} \))(\( 1 - 12 T + 109 T^{2} - 576 T^{3} + 2750 T^{4} - 12008 T^{5} + 79750 T^{6} - 484416 T^{7} + 2658401 T^{8} - 8487372 T^{9} + 20511149 T^{10} \))
$31$ (\( 1 + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( 1 - 3 T + 37 T^{2} - 234 T^{3} + 1147 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 61 T^{2} + 342 T^{3} + 1891 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 85 T^{2} + 232 T^{3} + 2635 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 37 T^{2} + 328 T^{3} + 1147 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 - 7 T + 37 T^{2} - 194 T^{3} + 1147 T^{4} - 6727 T^{5} + 29791 T^{6} \))(\( 1 - 7 T + 37 T^{2} - 194 T^{3} + 1147 T^{4} - 6727 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 85 T^{2} + 232 T^{3} + 2635 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 37 T^{2} + 328 T^{3} + 1147 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 + 5 T + 61 T^{2} + 342 T^{3} + 1891 T^{4} + 4805 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 37 T^{2} - 234 T^{3} + 1147 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 - 4 T + 67 T^{2} - 256 T^{3} + 2450 T^{4} - 9976 T^{5} + 75950 T^{6} - 246016 T^{7} + 1995997 T^{8} - 3694084 T^{9} + 28629151 T^{10} \))(\( 1 - 4 T + 51 T^{2} - 160 T^{3} + 2242 T^{4} - 9144 T^{5} + 69502 T^{6} - 153760 T^{7} + 1519341 T^{8} - 3694084 T^{9} + 28629151 T^{10} \))(\( 1 - 4 T + 67 T^{2} - 256 T^{3} + 2450 T^{4} - 9976 T^{5} + 75950 T^{6} - 246016 T^{7} + 1995997 T^{8} - 3694084 T^{9} + 28629151 T^{10} \))(\( 1 - 4 T + 51 T^{2} - 160 T^{3} + 2242 T^{4} - 9144 T^{5} + 69502 T^{6} - 153760 T^{7} + 1519341 T^{8} - 3694084 T^{9} + 28629151 T^{10} \))
$37$ (\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 + 5 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( 1 + 8 T + 76 T^{2} + 586 T^{3} + 2812 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 60 T^{2} - 250 T^{3} + 2220 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 79 T^{2} - 328 T^{3} + 2923 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 12 T + 47 T^{2} + 88 T^{3} + 1739 T^{4} + 16428 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 44 T^{2} - 118 T^{3} + 1628 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 44 T^{2} + 118 T^{3} + 1628 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 79 T^{2} + 328 T^{3} + 2923 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 - 12 T + 47 T^{2} - 88 T^{3} + 1739 T^{4} - 16428 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 60 T^{2} + 250 T^{3} + 2220 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 76 T^{2} - 586 T^{3} + 2812 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 165 T^{2} + 1008 T^{3} + 11598 T^{4} + 52816 T^{5} + 429126 T^{6} + 1379952 T^{7} + 8357745 T^{8} + 14993288 T^{9} + 69343957 T^{10} \))(\( 1 + 8 T + 165 T^{2} + 1008 T^{3} + 11470 T^{4} + 53328 T^{5} + 424390 T^{6} + 1379952 T^{7} + 8357745 T^{8} + 14993288 T^{9} + 69343957 T^{10} \))(\( 1 - 8 T + 165 T^{2} - 1008 T^{3} + 11598 T^{4} - 52816 T^{5} + 429126 T^{6} - 1379952 T^{7} + 8357745 T^{8} - 14993288 T^{9} + 69343957 T^{10} \))(\( 1 - 8 T + 165 T^{2} - 1008 T^{3} + 11470 T^{4} - 53328 T^{5} + 424390 T^{6} - 1379952 T^{7} + 8357745 T^{8} - 14993288 T^{9} + 69343957 T^{10} \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( 1 - 12 T + 86 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 29 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 + 2 T + 29 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( 1 - 4 T + 118 T^{2} - 326 T^{3} + 4838 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 - 8 T + 130 T^{2} - 638 T^{3} + 5330 T^{4} - 13448 T^{5} + 68921 T^{6} \))(\( 1 - 4 T + 75 T^{2} - 408 T^{3} + 3075 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 + 20 T + 195 T^{2} + 1368 T^{3} + 7995 T^{4} + 33620 T^{5} + 68921 T^{6} \))(\( 1 + 16 T + 190 T^{2} + 1342 T^{3} + 7790 T^{4} + 26896 T^{5} + 68921 T^{6} \))(\( 1 + 16 T + 190 T^{2} + 1342 T^{3} + 7790 T^{4} + 26896 T^{5} + 68921 T^{6} \))(\( 1 - 4 T + 75 T^{2} - 408 T^{3} + 3075 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 + 20 T + 195 T^{2} + 1368 T^{3} + 7995 T^{4} + 33620 T^{5} + 68921 T^{6} \))(\( 1 - 8 T + 130 T^{2} - 638 T^{3} + 5330 T^{4} - 13448 T^{5} + 68921 T^{6} \))(\( 1 - 4 T + 118 T^{2} - 326 T^{3} + 4838 T^{4} - 6724 T^{5} + 68921 T^{6} \))(\( 1 - 8 T + 157 T^{2} - 944 T^{3} + 11546 T^{4} - 54352 T^{5} + 473386 T^{6} - 1586864 T^{7} + 10820597 T^{8} - 22606088 T^{9} + 115856201 T^{10} \))(\( 1 + 8 T + 133 T^{2} + 560 T^{3} + 6418 T^{4} + 18256 T^{5} + 263138 T^{6} + 941360 T^{7} + 9166493 T^{8} + 22606088 T^{9} + 115856201 T^{10} \))(\( 1 - 8 T + 157 T^{2} - 944 T^{3} + 11546 T^{4} - 54352 T^{5} + 473386 T^{6} - 1586864 T^{7} + 10820597 T^{8} - 22606088 T^{9} + 115856201 T^{10} \))(\( 1 + 8 T + 133 T^{2} + 560 T^{3} + 6418 T^{4} + 18256 T^{5} + 263138 T^{6} + 941360 T^{7} + 9166493 T^{8} + 22606088 T^{9} + 115856201 T^{10} \))
$43$ (\( 1 - 8 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 6 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 7 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 73 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 + 2 T + 43 T^{2} )^{2} \))(\( 1 + 8 T + 94 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 + 2 T + 70 T^{2} + 86 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 73 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 7 T + 89 T^{2} + 358 T^{3} + 3827 T^{4} + 12943 T^{5} + 79507 T^{6} \))(\( 1 - 5 T + 41 T^{2} + 14 T^{3} + 1763 T^{4} - 9245 T^{5} + 79507 T^{6} \))(\( 1 - 2 T + 125 T^{2} - 168 T^{3} + 5375 T^{4} - 3698 T^{5} + 79507 T^{6} \))(\( 1 - 18 T + 153 T^{2} - 992 T^{3} + 6579 T^{4} - 33282 T^{5} + 79507 T^{6} \))(\( 1 - T + 57 T^{2} + 22 T^{3} + 2451 T^{4} - 1849 T^{5} + 79507 T^{6} \))(\( 1 + T + 57 T^{2} - 22 T^{3} + 2451 T^{4} + 1849 T^{5} + 79507 T^{6} \))(\( 1 + 2 T + 125 T^{2} + 168 T^{3} + 5375 T^{4} + 3698 T^{5} + 79507 T^{6} \))(\( 1 + 18 T + 153 T^{2} + 992 T^{3} + 6579 T^{4} + 33282 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 41 T^{2} - 14 T^{3} + 1763 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - 7 T + 89 T^{2} - 358 T^{3} + 3827 T^{4} - 12943 T^{5} + 79507 T^{6} \))(\( 1 + 22 T + 323 T^{2} + 3572 T^{3} + 31622 T^{4} + 225740 T^{5} + 1359746 T^{6} + 6604628 T^{7} + 25680761 T^{8} + 75213622 T^{9} + 147008443 T^{10} \))(\( 1 - 2 T + 111 T^{2} - 180 T^{3} + 5170 T^{4} - 8180 T^{5} + 222310 T^{6} - 332820 T^{7} + 8825277 T^{8} - 6837602 T^{9} + 147008443 T^{10} \))(\( 1 - 22 T + 323 T^{2} - 3572 T^{3} + 31622 T^{4} - 225740 T^{5} + 1359746 T^{6} - 6604628 T^{7} + 25680761 T^{8} - 75213622 T^{9} + 147008443 T^{10} \))(\( 1 + 2 T + 111 T^{2} + 180 T^{3} + 5170 T^{4} + 8180 T^{5} + 222310 T^{6} + 332820 T^{7} + 8825277 T^{8} + 6837602 T^{9} + 147008443 T^{10} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 7 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 11 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 7 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 - 6 T + 79 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 79 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( 1 + 14 T + 190 T^{2} + 1360 T^{3} + 8930 T^{4} + 30926 T^{5} + 103823 T^{6} \))(\( 1 + 6 T + 142 T^{2} + 552 T^{3} + 6674 T^{4} + 13254 T^{5} + 103823 T^{6} \))(\( 1 + 4 T + 125 T^{2} + 344 T^{3} + 5875 T^{4} + 8836 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 77 T^{2} + 328 T^{3} + 3619 T^{4} + 26508 T^{5} + 103823 T^{6} \))(\( 1 + 6 T + 102 T^{2} + 384 T^{3} + 4794 T^{4} + 13254 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 102 T^{2} - 384 T^{3} + 4794 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 4 T + 125 T^{2} - 344 T^{3} + 5875 T^{4} - 8836 T^{5} + 103823 T^{6} \))(\( 1 - 12 T + 77 T^{2} - 328 T^{3} + 3619 T^{4} - 26508 T^{5} + 103823 T^{6} \))(\( 1 - 6 T + 142 T^{2} - 552 T^{3} + 6674 T^{4} - 13254 T^{5} + 103823 T^{6} \))(\( 1 - 14 T + 190 T^{2} - 1360 T^{3} + 8930 T^{4} - 30926 T^{5} + 103823 T^{6} \))(\( 1 + 69 T^{2} - 264 T^{3} + 60 T^{4} - 25264 T^{5} + 2820 T^{6} - 583176 T^{7} + 7163787 T^{8} + 229345007 T^{10} \))(\( 1 - 8 T + 157 T^{2} - 1144 T^{3} + 10708 T^{4} - 72128 T^{5} + 503276 T^{6} - 2527096 T^{7} + 16300211 T^{8} - 39037448 T^{9} + 229345007 T^{10} \))(\( 1 + 69 T^{2} + 264 T^{3} + 60 T^{4} + 25264 T^{5} + 2820 T^{6} + 583176 T^{7} + 7163787 T^{8} + 229345007 T^{10} \))(\( 1 + 8 T + 157 T^{2} + 1144 T^{3} + 10708 T^{4} + 72128 T^{5} + 503276 T^{6} + 2527096 T^{7} + 16300211 T^{8} + 39037448 T^{9} + 229345007 T^{10} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 + 4 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 4 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 6 T + 98 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 - 4 T + 86 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 86 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 + 6 T + 98 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 8 T + 139 T^{2} - 832 T^{3} + 7367 T^{4} - 22472 T^{5} + 148877 T^{6} \))(\( 1 - 14 T + 67 T^{2} - 100 T^{3} + 3551 T^{4} - 39326 T^{5} + 148877 T^{6} \))(\( 1 - 12 T + 191 T^{2} - 1288 T^{3} + 10123 T^{4} - 33708 T^{5} + 148877 T^{6} \))(\( 1 + 4 T + 111 T^{2} + 504 T^{3} + 5883 T^{4} + 11236 T^{5} + 148877 T^{6} \))(\( 1 + 20 T + 219 T^{2} + 1736 T^{3} + 11607 T^{4} + 56180 T^{5} + 148877 T^{6} \))(\( 1 - 20 T + 219 T^{2} - 1736 T^{3} + 11607 T^{4} - 56180 T^{5} + 148877 T^{6} \))(\( 1 + 12 T + 191 T^{2} + 1288 T^{3} + 10123 T^{4} + 33708 T^{5} + 148877 T^{6} \))(\( 1 - 4 T + 111 T^{2} - 504 T^{3} + 5883 T^{4} - 11236 T^{5} + 148877 T^{6} \))(\( 1 + 14 T + 67 T^{2} + 100 T^{3} + 3551 T^{4} + 39326 T^{5} + 148877 T^{6} \))(\( 1 + 8 T + 139 T^{2} + 832 T^{3} + 7367 T^{4} + 22472 T^{5} + 148877 T^{6} \))(\( 1 - 4 T + 143 T^{2} - 424 T^{3} + 11892 T^{4} - 34472 T^{5} + 630276 T^{6} - 1191016 T^{7} + 21289411 T^{8} - 31561924 T^{9} + 418195493 T^{10} \))(\( 1 + 12 T + 135 T^{2} + 1240 T^{3} + 10780 T^{4} + 91384 T^{5} + 571340 T^{6} + 3483160 T^{7} + 20098395 T^{8} + 94685772 T^{9} + 418195493 T^{10} \))(\( 1 + 4 T + 143 T^{2} + 424 T^{3} + 11892 T^{4} + 34472 T^{5} + 630276 T^{6} + 1191016 T^{7} + 21289411 T^{8} + 31561924 T^{9} + 418195493 T^{10} \))(\( 1 - 12 T + 135 T^{2} - 1240 T^{3} + 10780 T^{4} - 91384 T^{5} + 571340 T^{6} - 3483160 T^{7} + 20098395 T^{8} - 94685772 T^{9} + 418195493 T^{10} \))
$59$ (\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 7 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 2 T - 34 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 102 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 95 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 95 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 102 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( 1 - 2 T - 34 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 182 T^{2} + 938 T^{3} + 10738 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 + 30 T + 466 T^{2} + 4432 T^{3} + 27494 T^{4} + 104430 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 209 T^{2} + 1432 T^{3} + 12331 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 4 T + 33 T^{2} - 120 T^{3} + 1947 T^{4} + 13924 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 174 T^{2} + 1362 T^{3} + 10266 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 174 T^{2} + 1362 T^{3} + 10266 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 209 T^{2} + 1432 T^{3} + 12331 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 + 4 T + 33 T^{2} - 120 T^{3} + 1947 T^{4} + 13924 T^{5} + 205379 T^{6} \))(\( 1 + 30 T + 466 T^{2} + 4432 T^{3} + 27494 T^{4} + 104430 T^{5} + 205379 T^{6} \))(\( 1 + 8 T + 182 T^{2} + 938 T^{3} + 10738 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 175 T^{2} - 608 T^{3} + 3970 T^{4} + 23192 T^{5} + 234230 T^{6} - 2116448 T^{7} + 35941325 T^{8} - 145408332 T^{9} + 714924299 T^{10} \))(\( 1 - 20 T + 287 T^{2} - 2528 T^{3} + 18802 T^{4} - 130520 T^{5} + 1109318 T^{6} - 8799968 T^{7} + 58943773 T^{8} - 242347220 T^{9} + 714924299 T^{10} \))(\( 1 - 12 T + 175 T^{2} - 608 T^{3} + 3970 T^{4} + 23192 T^{5} + 234230 T^{6} - 2116448 T^{7} + 35941325 T^{8} - 145408332 T^{9} + 714924299 T^{10} \))(\( 1 - 20 T + 287 T^{2} - 2528 T^{3} + 18802 T^{4} - 130520 T^{5} + 1109318 T^{6} - 8799968 T^{7} + 58943773 T^{8} - 242347220 T^{9} + 714924299 T^{10} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 - 9 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 9 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + T + 84 T^{2} + 61 T^{3} + 3721 T^{4} \))(\( 1 + 4 T + 94 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 - 12 T + 126 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( 1 + T + 84 T^{2} + 61 T^{3} + 3721 T^{4} \))(\( 1 - 14 T + 83 T^{2} - 436 T^{3} + 5063 T^{4} - 52094 T^{5} + 226981 T^{6} \))(\( 1 + 11 T + 31 T^{2} - 294 T^{3} + 1891 T^{4} + 40931 T^{5} + 226981 T^{6} \))(\( ( 1 + 2 T + 61 T^{2} )^{3} \))(\( 1 + 14 T + 163 T^{2} + 1364 T^{3} + 9943 T^{4} + 52094 T^{5} + 226981 T^{6} \))(\( ( 1 + 2 T + 61 T^{2} )^{3} \))(\( ( 1 + 2 T + 61 T^{2} )^{3} \))(\( ( 1 + 2 T + 61 T^{2} )^{3} \))(\( 1 + 14 T + 163 T^{2} + 1364 T^{3} + 9943 T^{4} + 52094 T^{5} + 226981 T^{6} \))(\( 1 + 11 T + 31 T^{2} - 294 T^{3} + 1891 T^{4} + 40931 T^{5} + 226981 T^{6} \))(\( 1 - 14 T + 83 T^{2} - 436 T^{3} + 5063 T^{4} - 52094 T^{5} + 226981 T^{6} \))(\( 1 - 10 T + 211 T^{2} - 1580 T^{3} + 20976 T^{4} - 125524 T^{5} + 1279536 T^{6} - 5879180 T^{7} + 47892991 T^{8} - 138458410 T^{9} + 844596301 T^{10} \))(\( 1 + 6 T + 155 T^{2} + 756 T^{3} + 12680 T^{4} + 45260 T^{5} + 773480 T^{6} + 2813076 T^{7} + 35182055 T^{8} + 83075046 T^{9} + 844596301 T^{10} \))(\( 1 - 10 T + 211 T^{2} - 1580 T^{3} + 20976 T^{4} - 125524 T^{5} + 1279536 T^{6} - 5879180 T^{7} + 47892991 T^{8} - 138458410 T^{9} + 844596301 T^{10} \))(\( 1 + 6 T + 155 T^{2} + 756 T^{3} + 12680 T^{4} + 45260 T^{5} + 773480 T^{6} + 2813076 T^{7} + 35182055 T^{8} + 83075046 T^{9} + 844596301 T^{10} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 13 T + 172 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 118 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 146 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 146 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 13 T + 172 T^{2} + 871 T^{3} + 4489 T^{4} \))(\( 1 + 6 T + 109 T^{2} + 988 T^{3} + 7303 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 265 T^{2} - 2078 T^{3} + 17755 T^{4} - 67335 T^{5} + 300763 T^{6} \))(\( 1 + 8 T + 137 T^{2} + 816 T^{3} + 9179 T^{4} + 35912 T^{5} + 300763 T^{6} \))(\( 1 - 16 T + 73 T^{2} + 32 T^{3} + 4891 T^{4} - 71824 T^{5} + 300763 T^{6} \))(\( 1 + 10 T + 61 T^{2} - 28 T^{3} + 4087 T^{4} + 44890 T^{5} + 300763 T^{6} \))(\( 1 - 10 T + 61 T^{2} + 28 T^{3} + 4087 T^{4} - 44890 T^{5} + 300763 T^{6} \))(\( 1 - 8 T + 137 T^{2} - 816 T^{3} + 9179 T^{4} - 35912 T^{5} + 300763 T^{6} \))(\( 1 + 16 T + 73 T^{2} - 32 T^{3} + 4891 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 + 15 T + 265 T^{2} + 2078 T^{3} + 17755 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 - 6 T + 109 T^{2} - 988 T^{3} + 7303 T^{4} - 26934 T^{5} + 300763 T^{6} \))(\( 1 + 20 T + 299 T^{2} + 2352 T^{3} + 17174 T^{4} + 94648 T^{5} + 1150658 T^{6} + 10558128 T^{7} + 89928137 T^{8} + 403022420 T^{9} + 1350125107 T^{10} \))(\( 1 - 4 T + 203 T^{2} + 112 T^{3} + 15158 T^{4} + 53480 T^{5} + 1015586 T^{6} + 502768 T^{7} + 61054889 T^{8} - 80604484 T^{9} + 1350125107 T^{10} \))(\( 1 - 20 T + 299 T^{2} - 2352 T^{3} + 17174 T^{4} - 94648 T^{5} + 1150658 T^{6} - 10558128 T^{7} + 89928137 T^{8} - 403022420 T^{9} + 1350125107 T^{10} \))(\( 1 + 4 T + 203 T^{2} - 112 T^{3} + 15158 T^{4} - 53480 T^{5} + 1015586 T^{6} - 502768 T^{7} + 61054889 T^{8} + 80604484 T^{9} + 1350125107 T^{10} \))
$71$ (\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 10 T + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 5 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 10 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 15 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 5 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 15 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 7 T + 150 T^{2} - 497 T^{3} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 + 2 T + 119 T^{2} + 142 T^{3} + 5041 T^{4} \))(\( 1 + 2 T + 119 T^{2} + 142 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 7 T + 150 T^{2} - 497 T^{3} + 5041 T^{4} \))(\( 1 - 9 T + 136 T^{2} - 609 T^{3} + 9656 T^{4} - 45369 T^{5} + 357911 T^{6} \))(\( 1 - 18 T + 310 T^{2} - 2708 T^{3} + 22010 T^{4} - 90738 T^{5} + 357911 T^{6} \))(\( 1 + 24 T + 389 T^{2} + 3808 T^{3} + 27619 T^{4} + 120984 T^{5} + 357911 T^{6} \))(\( 1 - 8 T - 27 T^{2} + 576 T^{3} - 1917 T^{4} - 40328 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 156 T^{2} + 1027 T^{3} + 11076 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 156 T^{2} + 1027 T^{3} + 11076 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 24 T + 389 T^{2} + 3808 T^{3} + 27619 T^{4} + 120984 T^{5} + 357911 T^{6} \))(\( 1 - 8 T - 27 T^{2} + 576 T^{3} - 1917 T^{4} - 40328 T^{5} + 357911 T^{6} \))(\( 1 - 18 T + 310 T^{2} - 2708 T^{3} + 22010 T^{4} - 90738 T^{5} + 357911 T^{6} \))(\( 1 - 9 T + 136 T^{2} - 609 T^{3} + 9656 T^{4} - 45369 T^{5} + 357911 T^{6} \))(\( 1 - 4 T + 269 T^{2} - 992 T^{3} + 33852 T^{4} - 98584 T^{5} + 2403492 T^{6} - 5000672 T^{7} + 96278059 T^{8} - 101646724 T^{9} + 1804229351 T^{10} \))(\( 1 - 4 T + 133 T^{2} + 128 T^{3} + 11284 T^{4} + 12264 T^{5} + 801164 T^{6} + 645248 T^{7} + 47602163 T^{8} - 101646724 T^{9} + 1804229351 T^{10} \))(\( 1 - 4 T + 269 T^{2} - 992 T^{3} + 33852 T^{4} - 98584 T^{5} + 2403492 T^{6} - 5000672 T^{7} + 96278059 T^{8} - 101646724 T^{9} + 1804229351 T^{10} \))(\( 1 - 4 T + 133 T^{2} + 128 T^{3} + 11284 T^{4} + 12264 T^{5} + 801164 T^{6} + 645248 T^{7} + 47602163 T^{8} - 101646724 T^{9} + 1804229351 T^{10} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 78 T^{2} + 5329 T^{4} \))(\( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 + 6 T + 73 T^{2} )^{2} \))(\( 1 + 12 T + 110 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 + 18 T + 210 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 + 78 T^{2} + 5329 T^{4} \))(\( 1 - 2 T + 55 T^{2} + 420 T^{3} + 4015 T^{4} - 10658 T^{5} + 389017 T^{6} \))(\( 1 - 2 T - 9 T^{2} - 220 T^{3} - 657 T^{4} - 10658 T^{5} + 389017 T^{6} \))(\( 1 - 12 T + 239 T^{2} - 1756 T^{3} + 17447 T^{4} - 63948 T^{5} + 389017 T^{6} \))(\( 1 + 4 T + 131 T^{2} + 132 T^{3} + 9563 T^{4} + 21316 T^{5} + 389017 T^{6} \))(\( ( 1 + 2 T + 73 T^{2} )^{3} \))(\( ( 1 - 2 T + 73 T^{2} )^{3} \))(\( 1 + 12 T + 239 T^{2} + 1756 T^{3} + 17447 T^{4} + 63948 T^{5} + 389017 T^{6} \))(\( 1 - 4 T + 131 T^{2} - 132 T^{3} + 9563 T^{4} - 21316 T^{5} + 389017 T^{6} \))(\( 1 + 2 T - 9 T^{2} + 220 T^{3} - 657 T^{4} + 10658 T^{5} + 389017 T^{6} \))(\( 1 + 2 T + 55 T^{2} - 420 T^{3} + 4015 T^{4} + 10658 T^{5} + 389017 T^{6} \))(\( 1 + 4 T + 189 T^{2} + 1924 T^{3} + 14746 T^{4} + 236080 T^{5} + 1076458 T^{6} + 10252996 T^{7} + 73524213 T^{8} + 113592964 T^{9} + 2073071593 T^{10} \))(\( 1 + 20 T + 353 T^{2} + 4372 T^{3} + 50582 T^{4} + 448304 T^{5} + 3692486 T^{6} + 23298388 T^{7} + 137323001 T^{8} + 567964820 T^{9} + 2073071593 T^{10} \))(\( 1 - 4 T + 189 T^{2} - 1924 T^{3} + 14746 T^{4} - 236080 T^{5} + 1076458 T^{6} - 10252996 T^{7} + 73524213 T^{8} - 113592964 T^{9} + 2073071593 T^{10} \))(\( 1 - 20 T + 353 T^{2} - 4372 T^{3} + 50582 T^{4} - 448304 T^{5} + 3692486 T^{6} - 23298388 T^{7} + 137323001 T^{8} - 567964820 T^{9} + 2073071593 T^{10} \))
$79$ (\( 1 + 4 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 15 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 - 15 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 12 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 12 T + 126 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( 1 + 2 T + 105 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 + 2 T + 105 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 142 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 126 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 126 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 164 T^{2} - 188 T^{3} + 12956 T^{4} - 12482 T^{5} + 493039 T^{6} \))(\( 1 + 10 T + 8 T^{2} - 616 T^{3} + 632 T^{4} + 62410 T^{5} + 493039 T^{6} \))(\( 1 + 6 T + 137 T^{2} + 1148 T^{3} + 10823 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 + 26 T + 409 T^{2} + 4292 T^{3} + 32311 T^{4} + 162266 T^{5} + 493039 T^{6} \))(\( 1 + 14 T + 132 T^{2} + 1312 T^{3} + 10428 T^{4} + 87374 T^{5} + 493039 T^{6} \))(\( 1 + 14 T + 132 T^{2} + 1312 T^{3} + 10428 T^{4} + 87374 T^{5} + 493039 T^{6} \))(\( 1 + 6 T + 137 T^{2} + 1148 T^{3} + 10823 T^{4} + 37446 T^{5} + 493039 T^{6} \))(\( 1 + 26 T + 409 T^{2} + 4292 T^{3} + 32311 T^{4} + 162266 T^{5} + 493039 T^{6} \))(\( 1 + 10 T + 8 T^{2} - 616 T^{3} + 632 T^{4} + 62410 T^{5} + 493039 T^{6} \))(\( 1 - 2 T + 164 T^{2} - 188 T^{3} + 12956 T^{4} - 12482 T^{5} + 493039 T^{6} \))(\( 1 - 18 T + 457 T^{2} - 5692 T^{3} + 76968 T^{4} - 674676 T^{5} + 6080472 T^{6} - 35523772 T^{7} + 225318823 T^{8} - 701101458 T^{9} + 3077056399 T^{10} \))(\( 1 - 30 T + 689 T^{2} - 10500 T^{3} + 132656 T^{4} - 1283372 T^{5} + 10479824 T^{6} - 65530500 T^{7} + 339703871 T^{8} - 1168502430 T^{9} + 3077056399 T^{10} \))(\( 1 - 18 T + 457 T^{2} - 5692 T^{3} + 76968 T^{4} - 674676 T^{5} + 6080472 T^{6} - 35523772 T^{7} + 225318823 T^{8} - 701101458 T^{9} + 3077056399 T^{10} \))(\( 1 - 30 T + 689 T^{2} - 10500 T^{3} + 132656 T^{4} - 1283372 T^{5} + 10479824 T^{6} - 65530500 T^{7} + 339703871 T^{8} - 1168502430 T^{9} + 3077056399 T^{10} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + T + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 7 T + 140 T^{2} - 581 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 134 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 134 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 2 T + 14 T^{2} - 166 T^{3} + 6889 T^{4} \))(\( 1 + 7 T + 140 T^{2} + 581 T^{3} + 6889 T^{4} \))(\( 1 + T + 65 T^{2} + 694 T^{3} + 5395 T^{4} + 6889 T^{5} + 571787 T^{6} \))(\( 1 - 14 T + 153 T^{2} - 916 T^{3} + 12699 T^{4} - 96446 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 285 T^{2} + 2772 T^{3} + 23655 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 28 T + 505 T^{2} - 5412 T^{3} + 41915 T^{4} - 192892 T^{5} + 571787 T^{6} \))(\( 1 + 17 T + 273 T^{2} + 2678 T^{3} + 22659 T^{4} + 117113 T^{5} + 571787 T^{6} \))(\( 1 - 17 T + 273 T^{2} - 2678 T^{3} + 22659 T^{4} - 117113 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 285 T^{2} - 2772 T^{3} + 23655 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 28 T + 505 T^{2} + 5412 T^{3} + 41915 T^{4} + 192892 T^{5} + 571787 T^{6} \))(\( 1 + 14 T + 153 T^{2} + 916 T^{3} + 12699 T^{4} + 96446 T^{5} + 571787 T^{6} \))(\( 1 - T + 65 T^{2} - 694 T^{3} + 5395 T^{4} - 6889 T^{5} + 571787 T^{6} \))(\( 1 + 24 T + 483 T^{2} + 6804 T^{3} + 81630 T^{4} + 795400 T^{5} + 6775290 T^{6} + 46872756 T^{7} + 276173121 T^{8} + 1138999704 T^{9} + 3939040643 T^{10} \))(\( 1 - 16 T + 415 T^{2} - 4500 T^{3} + 67130 T^{4} - 531864 T^{5} + 5571790 T^{6} - 31000500 T^{7} + 237291605 T^{8} - 759333136 T^{9} + 3939040643 T^{10} \))(\( 1 - 24 T + 483 T^{2} - 6804 T^{3} + 81630 T^{4} - 795400 T^{5} + 6775290 T^{6} - 46872756 T^{7} + 276173121 T^{8} - 1138999704 T^{9} + 3939040643 T^{10} \))(\( 1 + 16 T + 415 T^{2} + 4500 T^{3} + 67130 T^{4} + 531864 T^{5} + 5571790 T^{6} + 31000500 T^{7} + 237291605 T^{8} + 759333136 T^{9} + 3939040643 T^{10} \))
$89$ (\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 4 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 12 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 11 T + 204 T^{2} - 979 T^{3} + 7921 T^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{2} \))(\( 1 + 4 T + 158 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 158 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{2} \))(\( 1 + 16 T + 174 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 - 11 T + 204 T^{2} - 979 T^{3} + 7921 T^{4} \))(\( 1 - 9 T + 147 T^{2} - 686 T^{3} + 13083 T^{4} - 71289 T^{5} + 704969 T^{6} \))(\( 1 + 2 T - 17 T^{2} - 1396 T^{3} - 1513 T^{4} + 15842 T^{5} + 704969 T^{6} \))(\( 1 + 18 T + 255 T^{2} + 2716 T^{3} + 22695 T^{4} + 142578 T^{5} + 704969 T^{6} \))(\( 1 + 18 T + 239 T^{2} + 2108 T^{3} + 21271 T^{4} + 142578 T^{5} + 704969 T^{6} \))(\( 1 - 33 T + 579 T^{2} - 6558 T^{3} + 51531 T^{4} - 261393 T^{5} + 704969 T^{6} \))(\( 1 - 33 T + 579 T^{2} - 6558 T^{3} + 51531 T^{4} - 261393 T^{5} + 704969 T^{6} \))(\( 1 + 18 T + 255 T^{2} + 2716 T^{3} + 22695 T^{4} + 142578 T^{5} + 704969 T^{6} \))(\( 1 + 18 T + 239 T^{2} + 2108 T^{3} + 21271 T^{4} + 142578 T^{5} + 704969 T^{6} \))(\( 1 + 2 T - 17 T^{2} - 1396 T^{3} - 1513 T^{4} + 15842 T^{5} + 704969 T^{6} \))(\( 1 - 9 T + 147 T^{2} - 686 T^{3} + 13083 T^{4} - 71289 T^{5} + 704969 T^{6} \))(\( 1 - 34 T + 813 T^{2} - 13304 T^{3} + 176042 T^{4} - 1822732 T^{5} + 15667738 T^{6} - 105380984 T^{7} + 573139797 T^{8} - 2133236194 T^{9} + 5584059449 T^{10} \))(\( 1 + 14 T + 349 T^{2} + 4136 T^{3} + 59386 T^{4} + 506196 T^{5} + 5285354 T^{6} + 32761256 T^{7} + 246034181 T^{8} + 878391374 T^{9} + 5584059449 T^{10} \))(\( 1 - 34 T + 813 T^{2} - 13304 T^{3} + 176042 T^{4} - 1822732 T^{5} + 15667738 T^{6} - 105380984 T^{7} + 573139797 T^{8} - 2133236194 T^{9} + 5584059449 T^{10} \))(\( 1 + 14 T + 349 T^{2} + 4136 T^{3} + 59386 T^{4} + 506196 T^{5} + 5285354 T^{6} + 32761256 T^{7} + 246034181 T^{8} + 878391374 T^{9} + 5584059449 T^{10} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 15 T + 97 T^{2} \))(\( 1 - 15 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 15 T + 97 T^{2} \))(\( 1 - 15 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 16 T + 241 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 198 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 2 T + 171 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 2 T + 171 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 + 20 T + 262 T^{2} + 1940 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 142 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 241 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 + 17 T + 346 T^{2} + 3321 T^{3} + 33562 T^{4} + 159953 T^{5} + 912673 T^{6} \))(\( 1 - 19 T + 366 T^{2} - 3615 T^{3} + 35502 T^{4} - 178771 T^{5} + 912673 T^{6} \))(\( 1 - 20 T + 371 T^{2} - 3816 T^{3} + 35987 T^{4} - 188180 T^{5} + 912673 T^{6} \))(\( 1 + 4 T + 211 T^{2} + 712 T^{3} + 20467 T^{4} + 37636 T^{5} + 912673 T^{6} \))(\( 1 + 23 T + 394 T^{2} + 4159 T^{3} + 38218 T^{4} + 216407 T^{5} + 912673 T^{6} \))(\( 1 - 23 T + 394 T^{2} - 4159 T^{3} + 38218 T^{4} - 216407 T^{5} + 912673 T^{6} \))(\( 1 + 20 T + 371 T^{2} + 3816 T^{3} + 35987 T^{4} + 188180 T^{5} + 912673 T^{6} \))(\( 1 - 4 T + 211 T^{2} - 712 T^{3} + 20467 T^{4} - 37636 T^{5} + 912673 T^{6} \))(\( 1 + 19 T + 366 T^{2} + 3615 T^{3} + 35502 T^{4} + 178771 T^{5} + 912673 T^{6} \))(\( 1 - 17 T + 346 T^{2} - 3321 T^{3} + 33562 T^{4} - 159953 T^{5} + 912673 T^{6} \))(\( 1 + 233 T^{2} - 720 T^{3} + 31702 T^{4} - 104096 T^{5} + 3075094 T^{6} - 6774480 T^{7} + 212652809 T^{8} + 8587340257 T^{10} \))(\( 1 - 8 T + 265 T^{2} - 2576 T^{3} + 36150 T^{4} - 350480 T^{5} + 3506550 T^{6} - 24237584 T^{7} + 241858345 T^{8} - 708234248 T^{9} + 8587340257 T^{10} \))(\( 1 + 233 T^{2} + 720 T^{3} + 31702 T^{4} + 104096 T^{5} + 3075094 T^{6} + 6774480 T^{7} + 212652809 T^{8} + 8587340257 T^{10} \))(\( 1 + 8 T + 265 T^{2} + 2576 T^{3} + 36150 T^{4} + 350480 T^{5} + 3506550 T^{6} + 24237584 T^{7} + 241858345 T^{8} + 708234248 T^{9} + 8587340257 T^{10} \))
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