Properties

Label 5070.2.a
Level $5070$
Weight $2$
Character orbit 5070.a
Rep. character $\chi_{5070}(1,\cdot)$
Character field $\Q$
Dimension $102$
Newform subspaces $53$
Sturm bound $2184$
Trace bound $11$

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Defining parameters

Level: \( N \) \(=\) \( 5070 = 2 \cdot 3 \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5070.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 53 \)
Sturm bound: \(2184\)
Trace bound: \(11\)
Distinguishing \(T_p\): \(7\), \(11\), \(17\), \(31\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(5070))\).

Total New Old
Modular forms 1148 102 1046
Cusp forms 1037 102 935
Eisenstein series 111 0 111

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

\(2\)\(3\)\(5\)\(13\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(+\)\(6\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(7\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(6\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(7\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(9\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(3\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(4\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(9\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(6\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(7\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(6\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(7\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(4\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(9\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(9\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(3\)
Plus space\(+\)\(40\)
Minus space\(-\)\(62\)

Trace form

\( 102q - 2q^{3} + 102q^{4} - 4q^{7} + 102q^{9} + O(q^{10}) \) \( 102q - 2q^{3} + 102q^{4} - 4q^{7} + 102q^{9} - 2q^{10} - 12q^{11} - 2q^{12} - 12q^{14} + 102q^{16} - 8q^{17} - 4q^{21} - 12q^{22} - 8q^{23} + 102q^{25} - 2q^{27} - 4q^{28} + 8q^{29} - 2q^{30} - 8q^{31} + 12q^{33} + 4q^{34} + 4q^{35} + 102q^{36} + 16q^{37} - 8q^{38} - 2q^{40} + 12q^{41} + 4q^{42} - 8q^{43} - 12q^{44} - 8q^{46} + 16q^{47} - 2q^{48} + 102q^{49} - 8q^{51} + 16q^{53} - 12q^{55} - 12q^{56} - 8q^{57} + 4q^{58} + 20q^{59} - 4q^{61} + 8q^{62} - 4q^{63} + 102q^{64} + 4q^{66} + 8q^{67} - 8q^{68} + 8q^{69} + 4q^{70} - 8q^{71} + 20q^{73} + 28q^{74} - 2q^{75} + 16q^{77} - 8q^{79} + 102q^{81} + 16q^{82} - 4q^{84} + 12q^{85} + 8q^{87} - 12q^{88} + 36q^{89} - 2q^{90} - 8q^{92} - 16q^{93} - 8q^{95} + 28q^{97} + 16q^{98} - 12q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(5070))\) 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 13
5070.2.a.a \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.b \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.c \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.d \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.e \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.f \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.g \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.h \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.i \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(-1\) \(-5\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-5q^{7}+\cdots\)
5070.2.a.j \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(-1\) \(2\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.k \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
5070.2.a.l \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.m \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.n \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.o \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.p \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.q \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.r \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.s \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.t \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(-1\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.u \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(-4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots\)
5070.2.a.v \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.w \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
5070.2.a.x \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots\)
5070.2.a.y \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(-2\) \(-4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.z \(2\) \(40.484\) \(\Q(\sqrt{13}) \) None \(-2\) \(-2\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.ba \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(-6\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
5070.2.a.bb \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(-2\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bc \(2\) \(40.484\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
5070.2.a.bd \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(2\) \(2\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.be \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(6\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
5070.2.a.bf \(2\) \(40.484\) \(\Q(\sqrt{13}) \) None \(2\) \(-2\) \(2\) \(2\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bg \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.bh \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(-2\) \(-2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bi \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(2\) \(3\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bj \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bk \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bl \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bm \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bn \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bo \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(10\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(3+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bp \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(-6\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bq \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(6\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.br \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bs \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bt \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bu \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bv \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(-6\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bw \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(6\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bx \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(3\) \(-10\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.by \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(3\) \(2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bz \(4\) \(40.484\) 4.4.131472.2 None \(-4\) \(4\) \(4\) \(-2\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-\beta _{1}q^{7}+\cdots\)
5070.2.a.ca \(4\) \(40.484\) 4.4.131472.2 None \(4\) \(4\) \(-4\) \(2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+\beta _{1}q^{7}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(5070))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(5070)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(26))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(39))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(65))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(78))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(130))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(169))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(195))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(338))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(390))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(507))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(845))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1014))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1690))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2535))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))
$5$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))
$7$ (\( 1 + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 + 3 T + 7 T^{2} )^{2} \))(\( 1 + 3 T + 12 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 - 2 T - 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 3 T + 7 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( 1 + 2 T - 2 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 - 3 T + 12 T^{2} - 21 T^{3} + 49 T^{4} \))(\( 1 + 14 T^{2} + 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 14 T^{2} + 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 - 8 T + 40 T^{2} - 125 T^{3} + 280 T^{4} - 392 T^{5} + 343 T^{6} \))(\( 1 - 8 T + 40 T^{2} - 125 T^{3} + 280 T^{4} - 392 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 20 T^{2} + 27 T^{3} + 140 T^{4} + 98 T^{5} + 343 T^{6} \))(\( 1 - 10 T + 52 T^{2} - 169 T^{3} + 364 T^{4} - 490 T^{5} + 343 T^{6} \))(\( 1 + 6 T + 26 T^{2} + 71 T^{3} + 182 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 26 T^{2} - 85 T^{3} + 182 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 8 T + 40 T^{2} + 125 T^{3} + 280 T^{4} + 392 T^{5} + 343 T^{6} \))(\( 1 + 8 T + 40 T^{2} + 125 T^{3} + 280 T^{4} + 392 T^{5} + 343 T^{6} \))(\( 1 + 14 T^{2} - 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 14 T^{2} - 7 T^{3} + 98 T^{4} + 343 T^{6} \))(\( 1 + 6 T + 26 T^{2} + 85 T^{3} + 182 T^{4} + 294 T^{5} + 343 T^{6} \))(\( 1 - 6 T + 26 T^{2} - 71 T^{3} + 182 T^{4} - 294 T^{5} + 343 T^{6} \))(\( 1 + 10 T + 52 T^{2} + 169 T^{3} + 364 T^{4} + 490 T^{5} + 343 T^{6} \))(\( 1 - 2 T + 20 T^{2} - 27 T^{3} + 140 T^{4} - 98 T^{5} + 343 T^{6} \))(\( 1 + 2 T + 9 T^{2} + 22 T^{3} + 80 T^{4} + 154 T^{5} + 441 T^{6} + 686 T^{7} + 2401 T^{8} \))(\( 1 - 2 T + 9 T^{2} - 22 T^{3} + 80 T^{4} - 154 T^{5} + 441 T^{6} - 686 T^{7} + 2401 T^{8} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 19 T^{2} + 66 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 4 T + 23 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 5 T^{2} + 121 T^{4} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 23 T^{2} + 44 T^{3} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( 1 - 6 T + 19 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 5 T^{2} + 121 T^{4} \))(\( 1 - 2 T + 18 T^{2} - 57 T^{3} + 198 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 - 14 T + 96 T^{2} - 399 T^{3} + 1056 T^{4} - 1694 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 18 T^{2} + 15 T^{3} + 198 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 32 T^{2} - 43 T^{3} + 352 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} - 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 - 8 T + 52 T^{2} - 189 T^{3} + 572 T^{4} - 968 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} - 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 + 12 T^{2} + 7 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 + 2 T + 32 T^{2} + 43 T^{3} + 352 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 - 2 T + 18 T^{2} - 15 T^{3} + 198 T^{4} - 242 T^{5} + 1331 T^{6} \))(\( 1 + 14 T + 96 T^{2} + 399 T^{3} + 1056 T^{4} + 1694 T^{5} + 1331 T^{6} \))(\( 1 + 2 T + 18 T^{2} + 57 T^{3} + 198 T^{4} + 242 T^{5} + 1331 T^{6} \))(\( 1 + 12 T^{2} - 7 T^{3} + 132 T^{4} + 1331 T^{6} \))(\( 1 + 26 T^{2} + 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 + 8 T + 52 T^{2} + 189 T^{3} + 572 T^{4} + 968 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} + 7 T^{3} + 286 T^{4} + 1331 T^{6} \))(\( 1 - 2 T + 10 T^{2} - 4 T^{3} + 159 T^{4} - 44 T^{5} + 1210 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T + 10 T^{2} + 4 T^{3} + 159 T^{4} + 44 T^{5} + 1210 T^{6} + 2662 T^{7} + 14641 T^{8} \))
$13$ 1
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 68 T^{3} + 289 T^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 4 T + 17 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 34 T^{3} + 289 T^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( 1 - 2 T + 18 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 263 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 5 T^{2} - 5 T^{3} + 85 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - T + 49 T^{2} - 33 T^{3} + 833 T^{4} - 289 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 5 T^{2} - 37 T^{3} + 85 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 5 T^{2} - 5 T^{3} + 85 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 9 T + 57 T^{2} + 263 T^{3} + 969 T^{4} + 2601 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 47 T^{2} - 89 T^{3} + 799 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 7 T + 51 T^{2} + 231 T^{3} + 867 T^{4} + 2023 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 5 T^{2} - 37 T^{3} + 85 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 - T + 49 T^{2} - 33 T^{3} + 833 T^{4} - 289 T^{5} + 4913 T^{6} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))(\( ( 1 - 4 T + 17 T^{2} )^{4} \))
$19$ (\( 1 + 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 8 T + 42 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 26 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 51 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 - 3 T + 36 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( 1 + 8 T + 51 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 26 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 42 T^{2} - 152 T^{3} + 361 T^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( 1 + 3 T + 36 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 + 5 T + 63 T^{2} + 191 T^{3} + 1197 T^{4} + 1805 T^{5} + 6859 T^{6} \))(\( 1 - 7 T + 29 T^{2} - 63 T^{3} + 551 T^{4} - 2527 T^{5} + 6859 T^{6} \))(\( 1 - T + 41 T^{2} - 51 T^{3} + 779 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 + 3 T + 39 T^{2} + 87 T^{3} + 741 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 + 9 T + 63 T^{2} + 299 T^{3} + 1197 T^{4} + 3249 T^{5} + 6859 T^{6} \))(\( 1 - 11 T + 53 T^{2} - 207 T^{3} + 1007 T^{4} - 3971 T^{5} + 6859 T^{6} \))(\( 1 - T + 41 T^{2} - 51 T^{3} + 779 T^{4} - 361 T^{5} + 6859 T^{6} \))(\( 1 - 13 T + 111 T^{2} - 565 T^{3} + 2109 T^{4} - 4693 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 39 T^{2} - 87 T^{3} + 741 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + T + 41 T^{2} + 51 T^{3} + 779 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + 7 T + 29 T^{2} + 63 T^{3} + 551 T^{4} + 2527 T^{5} + 6859 T^{6} \))(\( 1 - 5 T + 63 T^{2} - 191 T^{3} + 1197 T^{4} - 1805 T^{5} + 6859 T^{6} \))(\( 1 + 13 T + 111 T^{2} + 565 T^{3} + 2109 T^{4} + 4693 T^{5} + 6859 T^{6} \))(\( 1 + T + 41 T^{2} + 51 T^{3} + 779 T^{4} + 361 T^{5} + 6859 T^{6} \))(\( 1 + 11 T + 53 T^{2} + 207 T^{3} + 1007 T^{4} + 3971 T^{5} + 6859 T^{6} \))(\( 1 - 9 T + 63 T^{2} - 299 T^{3} + 1197 T^{4} - 3249 T^{5} + 6859 T^{6} \))(\( 1 + 13 T^{2} + 72 T^{3} + 240 T^{4} + 1368 T^{5} + 4693 T^{6} + 130321 T^{8} \))(\( 1 + 13 T^{2} - 72 T^{3} + 240 T^{4} - 1368 T^{5} + 4693 T^{6} + 130321 T^{8} \))
$23$ (\( 1 - 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 47 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 10 T + 58 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 + 3 T + 10 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 26 T^{2} + 529 T^{4} \))(\( 1 - 2 T + 30 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 - 10 T + 58 T^{2} - 230 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 47 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 30 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 3 T + 10 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 3 T + 51 T^{2} - 111 T^{3} + 1173 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 5 T - 9 T^{2} - 189 T^{3} - 207 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 + T + 67 T^{2} + 45 T^{3} + 1541 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 - 11 T + 79 T^{2} - 393 T^{3} + 1817 T^{4} - 5819 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 9 T + 89 T^{2} + 427 T^{3} + 2047 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 125 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 11 T + 79 T^{2} - 393 T^{3} + 1817 T^{4} - 5819 T^{5} + 12167 T^{6} \))(\( 1 + T + 67 T^{2} + 45 T^{3} + 1541 T^{4} + 529 T^{5} + 12167 T^{6} \))(\( 1 + 5 T - 9 T^{2} - 189 T^{3} - 207 T^{4} + 2645 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 51 T^{2} - 111 T^{3} + 1173 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 125 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 + 9 T + 89 T^{2} + 427 T^{3} + 2047 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 - 3 T + 65 T^{2} - 139 T^{3} + 1495 T^{4} - 1587 T^{5} + 12167 T^{6} \))(\( 1 - 4 T + 49 T^{2} - 260 T^{3} + 1248 T^{4} - 5980 T^{5} + 25921 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 49 T^{2} - 260 T^{3} + 1248 T^{4} - 5980 T^{5} + 25921 T^{6} - 48668 T^{7} + 279841 T^{8} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 - 5 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 - 4 T + 59 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 50 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 74 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 86 T^{2} + 348 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 + 4 T + 50 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 59 T^{2} - 116 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 9 T + 74 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 10 T + 104 T^{2} + 539 T^{3} + 3016 T^{4} + 8410 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 72 T^{2} - 319 T^{3} + 2088 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 20 T^{2} - 7 T^{3} + 580 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 44 T^{2} + 11 T^{3} + 1276 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 - 6 T + 92 T^{2} - 349 T^{3} + 2668 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 + 24 T^{2} + 189 T^{3} + 696 T^{4} + 24389 T^{6} \))(\( 1 - 4 T^{2} - 203 T^{3} - 116 T^{4} + 24389 T^{6} \))(\( 1 + 14 T + 136 T^{2} + 819 T^{3} + 3944 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 2 T + 44 T^{2} + 11 T^{3} + 1276 T^{4} - 1682 T^{5} + 24389 T^{6} \))(\( 1 + 4 T + 20 T^{2} - 7 T^{3} + 580 T^{4} + 3364 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 72 T^{2} - 319 T^{3} + 2088 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 10 T + 104 T^{2} + 539 T^{3} + 3016 T^{4} + 8410 T^{5} + 24389 T^{6} \))(\( 1 + 14 T + 136 T^{2} + 819 T^{3} + 3944 T^{4} + 11774 T^{5} + 24389 T^{6} \))(\( 1 - 4 T^{2} - 203 T^{3} - 116 T^{4} + 24389 T^{6} \))(\( 1 + 24 T^{2} + 189 T^{3} + 696 T^{4} + 24389 T^{6} \))(\( 1 - 6 T + 92 T^{2} - 349 T^{3} + 2668 T^{4} - 5046 T^{5} + 24389 T^{6} \))(\( 1 - 8 T + 77 T^{2} - 548 T^{3} + 3160 T^{4} - 15892 T^{5} + 64757 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 77 T^{2} - 548 T^{3} + 3160 T^{4} - 15892 T^{5} + 64757 T^{6} - 195112 T^{7} + 707281 T^{8} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 59 T^{2} + 961 T^{4} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( 1 + 4 T + 18 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - T + 24 T^{2} - 31 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 2 T + 46 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( 1 + 59 T^{2} + 961 T^{4} \))(\( 1 - 2 T + 46 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + T + 24 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 96 T^{2} + 247 T^{3} + 2976 T^{4} + 3844 T^{5} + 29791 T^{6} \))(\( 1 - 14 T + 128 T^{2} - 861 T^{3} + 3968 T^{4} - 13454 T^{5} + 29791 T^{6} \))(\( 1 + 2 T + 78 T^{2} + 137 T^{3} + 2418 T^{4} + 1922 T^{5} + 29791 T^{6} \))(\( 1 + 86 T^{2} - 7 T^{3} + 2666 T^{4} + 29791 T^{6} \))(\( 1 + 10 T + 124 T^{2} + 649 T^{3} + 3844 T^{4} + 9610 T^{5} + 29791 T^{6} \))(\( 1 - 16 T + 176 T^{2} - 1131 T^{3} + 5456 T^{4} - 15376 T^{5} + 29791 T^{6} \))(\( 1 + 16 T + 162 T^{2} + 1075 T^{3} + 5022 T^{4} + 15376 T^{5} + 29791 T^{6} \))(\( 1 - 10 T + 110 T^{2} - 621 T^{3} + 3410 T^{4} - 9610 T^{5} + 29791 T^{6} \))(\( 1 + 86 T^{2} + 7 T^{3} + 2666 T^{4} + 29791 T^{6} \))(\( 1 - 2 T + 78 T^{2} - 137 T^{3} + 2418 T^{4} - 1922 T^{5} + 29791 T^{6} \))(\( 1 + 14 T + 128 T^{2} + 861 T^{3} + 3968 T^{4} + 13454 T^{5} + 29791 T^{6} \))(\( 1 - 4 T + 96 T^{2} - 247 T^{3} + 2976 T^{4} - 3844 T^{5} + 29791 T^{6} \))(\( 1 + 10 T + 110 T^{2} + 621 T^{3} + 3410 T^{4} + 9610 T^{5} + 29791 T^{6} \))(\( 1 - 16 T + 162 T^{2} - 1075 T^{3} + 5022 T^{4} - 15376 T^{5} + 29791 T^{6} \))(\( 1 + 16 T + 176 T^{2} + 1131 T^{3} + 5456 T^{4} + 15376 T^{5} + 29791 T^{6} \))(\( 1 - 10 T + 124 T^{2} - 649 T^{3} + 3844 T^{4} - 9610 T^{5} + 29791 T^{6} \))(\( 1 + 4 T + 45 T^{2} - 184 T^{3} - 88 T^{4} - 5704 T^{5} + 43245 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 - 4 T + 45 T^{2} + 184 T^{3} - 88 T^{4} + 5704 T^{5} + 43245 T^{6} - 119164 T^{7} + 923521 T^{8} \))
$37$ (\( 1 - 10 T + 37 T^{2} \))(\( 1 - 9 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 + 9 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 7 T + 37 T^{2} \))(\( 1 + 8 T + 63 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 26 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 27 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 57 T^{2} + 1369 T^{4} \))(\( 1 - 12 T + 78 T^{2} - 444 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 58 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 27 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 4 T + 26 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 63 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 2 T + 58 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 57 T^{2} + 1369 T^{4} \))(\( 1 - 2 T + 110 T^{2} - 147 T^{3} + 4070 T^{4} - 2738 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 86 T^{2} + 225 T^{3} + 3182 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 142 T^{2} + 769 T^{3} + 5254 T^{4} + 13690 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 18 T^{2} - 151 T^{3} + 666 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 + 8 T + 116 T^{2} + 591 T^{3} + 4292 T^{4} + 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 100 T^{2} - 517 T^{3} + 3700 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 + 20 T + 200 T^{2} + 1383 T^{3} + 7400 T^{4} + 27380 T^{5} + 50653 T^{6} \))(\( 1 - 6 T + 60 T^{2} - 137 T^{3} + 2220 T^{4} - 8214 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 18 T^{2} + 151 T^{3} + 666 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 142 T^{2} - 769 T^{3} + 5254 T^{4} - 13690 T^{5} + 50653 T^{6} \))(\( 1 - 4 T + 86 T^{2} - 225 T^{3} + 3182 T^{4} - 5476 T^{5} + 50653 T^{6} \))(\( 1 + 2 T + 110 T^{2} + 147 T^{3} + 4070 T^{4} + 2738 T^{5} + 50653 T^{6} \))(\( 1 + 6 T + 60 T^{2} + 137 T^{3} + 2220 T^{4} + 8214 T^{5} + 50653 T^{6} \))(\( 1 - 20 T + 200 T^{2} - 1383 T^{3} + 7400 T^{4} - 27380 T^{5} + 50653 T^{6} \))(\( 1 + 10 T + 100 T^{2} + 517 T^{3} + 3700 T^{4} + 13690 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 116 T^{2} - 591 T^{3} + 4292 T^{4} - 10952 T^{5} + 50653 T^{6} \))(\( 1 - 10 T + 114 T^{2} - 680 T^{3} + 4895 T^{4} - 25160 T^{5} + 156066 T^{6} - 506530 T^{7} + 1874161 T^{8} \))(\( 1 + 10 T + 114 T^{2} + 680 T^{3} + 4895 T^{4} + 25160 T^{5} + 156066 T^{6} + 506530 T^{7} + 1874161 T^{8} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( 1 - 8 T + 46 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( 1 + 8 T + 30 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 - 10 T + 90 T^{2} - 410 T^{3} + 1681 T^{4} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( 1 + 8 T + 46 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( 1 + 10 T + 90 T^{2} + 410 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 30 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 + 17 T + 175 T^{2} + 1227 T^{3} + 7175 T^{4} + 28577 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 121 T^{2} - 927 T^{3} + 4961 T^{4} - 21853 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 129 T^{2} + 411 T^{3} + 5289 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 - 13 T + 163 T^{2} - 1095 T^{3} + 6683 T^{4} - 21853 T^{5} + 68921 T^{6} \))(\( 1 - 3 T + 105 T^{2} - 233 T^{3} + 4305 T^{4} - 5043 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 87 T^{2} - 243 T^{3} + 3567 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 + 17 T + 203 T^{2} + 1507 T^{3} + 8323 T^{4} + 28577 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 105 T^{2} + 233 T^{3} + 4305 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 + 13 T + 163 T^{2} + 1095 T^{3} + 6683 T^{4} + 21853 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 129 T^{2} - 411 T^{3} + 5289 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 + 13 T + 121 T^{2} + 927 T^{3} + 4961 T^{4} + 21853 T^{5} + 68921 T^{6} \))(\( 1 - 17 T + 175 T^{2} - 1227 T^{3} + 7175 T^{4} - 28577 T^{5} + 68921 T^{6} \))(\( 1 - 3 T + 105 T^{2} - 233 T^{3} + 4305 T^{4} - 5043 T^{5} + 68921 T^{6} \))(\( 1 - 17 T + 203 T^{2} - 1507 T^{3} + 8323 T^{4} - 28577 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 87 T^{2} + 243 T^{3} + 3567 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 + 3 T + 105 T^{2} + 233 T^{3} + 4305 T^{4} + 5043 T^{5} + 68921 T^{6} \))(\( 1 + 4 T + 88 T^{2} + 332 T^{3} + 4686 T^{4} + 13612 T^{5} + 147928 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 - 4 T + 88 T^{2} - 332 T^{3} + 4686 T^{4} - 13612 T^{5} + 147928 T^{6} - 275684 T^{7} + 2825761 T^{8} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 + 10 T + 63 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( 1 - 5 T + 88 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 + 10 T + 63 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 5 T + 88 T^{2} - 215 T^{3} + 1849 T^{4} \))(\( 1 - 19 T + 219 T^{2} - 1747 T^{3} + 9417 T^{4} - 35131 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 389 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 + 9 T + 107 T^{2} + 703 T^{3} + 4601 T^{4} + 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 431 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - T + 99 T^{2} - 127 T^{3} + 4257 T^{4} - 1849 T^{5} + 79507 T^{6} \))(\( 1 + 3 T + 69 T^{2} + 385 T^{3} + 2967 T^{4} + 5547 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 107 T^{2} - 605 T^{3} + 4601 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 149 T^{2} - 773 T^{3} + 6407 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 431 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 + 9 T + 107 T^{2} + 703 T^{3} + 4601 T^{4} + 16641 T^{5} + 79507 T^{6} \))(\( 1 + 5 T + 121 T^{2} + 389 T^{3} + 5203 T^{4} + 9245 T^{5} + 79507 T^{6} \))(\( 1 - 19 T + 219 T^{2} - 1747 T^{3} + 9417 T^{4} - 35131 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 149 T^{2} - 773 T^{3} + 6407 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 - 9 T + 107 T^{2} - 605 T^{3} + 4601 T^{4} - 16641 T^{5} + 79507 T^{6} \))(\( 1 + 3 T + 69 T^{2} + 385 T^{3} + 2967 T^{4} + 5547 T^{5} + 79507 T^{6} \))(\( 1 - T + 99 T^{2} - 127 T^{3} + 4257 T^{4} - 1849 T^{5} + 79507 T^{6} \))(\( 1 - 14 T + 129 T^{2} - 970 T^{3} + 6824 T^{4} - 41710 T^{5} + 238521 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))(\( 1 - 14 T + 129 T^{2} - 970 T^{3} + 6824 T^{4} - 41710 T^{5} + 238521 T^{6} - 1113098 T^{7} + 3418801 T^{8} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 14 T + 131 T^{2} + 658 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 91 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( ( 1 + 7 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 4 T + 30 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 91 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 46 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 14 T + 131 T^{2} - 658 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 30 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 - 7 T + 47 T^{2} )^{2} \))(\( 1 + 7 T + 92 T^{2} + 371 T^{3} + 4324 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 - 21 T + 260 T^{2} - 2177 T^{3} + 12220 T^{4} - 46389 T^{5} + 103823 T^{6} \))(\( 1 + 21 T + 260 T^{2} + 2065 T^{3} + 12220 T^{4} + 46389 T^{5} + 103823 T^{6} \))(\( 1 - 7 T - 20 T^{2} + 525 T^{3} - 940 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 - 7 T + 148 T^{2} - 651 T^{3} + 6956 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 32 T^{2} + 277 T^{3} + 1504 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 7 T + 92 T^{2} + 707 T^{3} + 4324 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( ( 1 - 7 T + 47 T^{2} )^{3} \))(\( 1 + 7 T - 20 T^{2} - 525 T^{3} - 940 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 - 21 T + 260 T^{2} - 2065 T^{3} + 12220 T^{4} - 46389 T^{5} + 103823 T^{6} \))(\( 1 + 21 T + 260 T^{2} + 2177 T^{3} + 12220 T^{4} + 46389 T^{5} + 103823 T^{6} \))(\( 1 - 7 T + 92 T^{2} - 371 T^{3} + 4324 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( ( 1 + 7 T + 47 T^{2} )^{3} \))(\( 1 - 7 T + 92 T^{2} - 707 T^{3} + 4324 T^{4} - 15463 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 32 T^{2} - 277 T^{3} + 1504 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 + 7 T + 148 T^{2} + 651 T^{3} + 6956 T^{4} + 15463 T^{5} + 103823 T^{6} \))(\( 1 + 8 T + 106 T^{2} + 352 T^{3} + 4443 T^{4} + 16544 T^{5} + 234154 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 8 T + 106 T^{2} - 352 T^{3} + 4443 T^{4} - 16544 T^{5} + 234154 T^{6} - 830584 T^{7} + 4879681 T^{8} \))
$53$ (\( 1 + 10 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 14 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 13 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 + 4 T + 107 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 18 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 46 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 107 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( 1 + 12 T + 94 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 2 T - 46 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 - 13 T + 144 T^{2} - 689 T^{3} + 2809 T^{4} \))(\( 1 - 19 T + 221 T^{2} - 1931 T^{3} + 11713 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 207 T^{2} - 1665 T^{3} + 10971 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 5 T + 151 T^{2} + 531 T^{3} + 8003 T^{4} + 14045 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 29 T^{2} - 95 T^{3} + 1537 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 207 T^{2} - 1665 T^{3} + 10971 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 19 T + 221 T^{2} - 1931 T^{3} + 11713 T^{4} - 53371 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 29 T^{2} - 95 T^{3} + 1537 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 - 3 T + 141 T^{2} - 305 T^{3} + 7473 T^{4} - 8427 T^{5} + 148877 T^{6} \))(\( 1 + 17 T + 239 T^{2} + 1873 T^{3} + 12667 T^{4} + 47753 T^{5} + 148877 T^{6} \))(\( 1 + 5 T + 151 T^{2} + 531 T^{3} + 8003 T^{4} + 14045 T^{5} + 148877 T^{6} \))(\( 1 - 8 T + 137 T^{2} - 1268 T^{3} + 8956 T^{4} - 67204 T^{5} + 384833 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 137 T^{2} - 1268 T^{3} + 8956 T^{4} - 67204 T^{5} + 384833 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 5 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 10 T + 131 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 170 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 17 T + 186 T^{2} + 1003 T^{3} + 3481 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 110 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 170 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 131 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 110 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 17 T + 186 T^{2} - 1003 T^{3} + 3481 T^{4} \))(\( 1 + 19 T + 253 T^{2} + 2313 T^{3} + 14927 T^{4} + 66139 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 107 T^{2} - 917 T^{3} + 6313 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 15 T + 77 T^{2} + 145 T^{3} + 4543 T^{4} + 52215 T^{5} + 205379 T^{6} \))(\( 1 - 23 T + 323 T^{2} - 2881 T^{3} + 19057 T^{4} - 80063 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 79 T^{2} + 483 T^{3} + 4661 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 11 T + 61 T^{2} - 219 T^{3} + 3599 T^{4} - 38291 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 163 T^{2} + 819 T^{3} + 9617 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 9 T^{2} + 441 T^{3} + 531 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 23 T + 323 T^{2} + 2881 T^{3} + 19057 T^{4} + 80063 T^{5} + 205379 T^{6} \))(\( 1 - 15 T + 77 T^{2} - 145 T^{3} + 4543 T^{4} - 52215 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 107 T^{2} + 917 T^{3} + 6313 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 19 T + 253 T^{2} - 2313 T^{3} + 14927 T^{4} - 66139 T^{5} + 205379 T^{6} \))(\( 1 + 7 T + 9 T^{2} - 441 T^{3} + 531 T^{4} + 24367 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 163 T^{2} - 819 T^{3} + 9617 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 + 11 T + 61 T^{2} + 219 T^{3} + 3599 T^{4} + 38291 T^{5} + 205379 T^{6} \))(\( 1 - 7 T + 79 T^{2} - 483 T^{3} + 4661 T^{4} - 24367 T^{5} + 205379 T^{6} \))(\( 1 - 6 T + 205 T^{2} - 846 T^{3} + 16944 T^{4} - 49914 T^{5} + 713605 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T + 205 T^{2} + 846 T^{3} + 16944 T^{4} + 49914 T^{5} + 713605 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 14 T^{2} + 3721 T^{4} \))(\( 1 + 8 T + 86 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( 1 + 8 T + 126 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 86 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 14 T^{2} + 3721 T^{4} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( 1 - T + 97 T^{2} - 373 T^{3} + 5917 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 17 T + 179 T^{2} + 1473 T^{3} + 10919 T^{4} + 63257 T^{5} + 226981 T^{6} \))(\( 1 - T + 83 T^{2} - 9 T^{3} + 5063 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1069 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 119 T^{2} - 639 T^{3} + 7259 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 - 11 T + 193 T^{2} - 1313 T^{3} + 11773 T^{4} - 40931 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 189 T^{2} - 611 T^{3} + 11529 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 + 21 T + 267 T^{2} + 2275 T^{3} + 16287 T^{4} + 78141 T^{5} + 226981 T^{6} \))(\( 1 + 9 T + 161 T^{2} + 1069 T^{3} + 9821 T^{4} + 33489 T^{5} + 226981 T^{6} \))(\( 1 - T + 83 T^{2} - 9 T^{3} + 5063 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 17 T + 179 T^{2} + 1473 T^{3} + 10919 T^{4} + 63257 T^{5} + 226981 T^{6} \))(\( 1 - T + 97 T^{2} - 373 T^{3} + 5917 T^{4} - 3721 T^{5} + 226981 T^{6} \))(\( 1 + 21 T + 267 T^{2} + 2275 T^{3} + 16287 T^{4} + 78141 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 189 T^{2} - 611 T^{3} + 11529 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( 1 - 11 T + 193 T^{2} - 1313 T^{3} + 11773 T^{4} - 40931 T^{5} + 226981 T^{6} \))(\( 1 - 5 T + 119 T^{2} - 639 T^{3} + 7259 T^{4} - 18605 T^{5} + 226981 T^{6} \))(\( ( 1 - 8 T + 126 T^{2} - 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 8 T + 126 T^{2} - 488 T^{3} + 3721 T^{4} )^{2} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 16 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 10 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 16 T + 186 T^{2} + 1072 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 98 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 126 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 - 18 T + 198 T^{2} - 1206 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 126 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 98 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 16 T + 186 T^{2} - 1072 T^{3} + 4489 T^{4} \))(\( 1 + 18 T + 198 T^{2} + 1206 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 102 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - T + 129 T^{2} + 35 T^{3} + 8643 T^{4} - 4489 T^{5} + 300763 T^{6} \))(\( 1 - 5 T + 207 T^{2} - 671 T^{3} + 13869 T^{4} - 22445 T^{5} + 300763 T^{6} \))(\( 1 + 3 T + 71 T^{2} + 571 T^{3} + 4757 T^{4} + 13467 T^{5} + 300763 T^{6} \))(\( 1 - 13 T + 213 T^{2} - 1519 T^{3} + 14271 T^{4} - 58357 T^{5} + 300763 T^{6} \))(\( 1 + 5 T + 179 T^{2} + 573 T^{3} + 11993 T^{4} + 22445 T^{5} + 300763 T^{6} \))(\( 1 - 15 T + 213 T^{2} - 2009 T^{3} + 14271 T^{4} - 67335 T^{5} + 300763 T^{6} \))(\( 1 + 17 T + 281 T^{2} + 2349 T^{3} + 18827 T^{4} + 76313 T^{5} + 300763 T^{6} \))(\( 1 - 23 T + 347 T^{2} - 3249 T^{3} + 23249 T^{4} - 103247 T^{5} + 300763 T^{6} \))(\( 1 + 13 T + 213 T^{2} + 1519 T^{3} + 14271 T^{4} + 58357 T^{5} + 300763 T^{6} \))(\( 1 - 3 T + 71 T^{2} - 571 T^{3} + 4757 T^{4} - 13467 T^{5} + 300763 T^{6} \))(\( 1 + 5 T + 207 T^{2} + 671 T^{3} + 13869 T^{4} + 22445 T^{5} + 300763 T^{6} \))(\( 1 + T + 129 T^{2} - 35 T^{3} + 8643 T^{4} + 4489 T^{5} + 300763 T^{6} \))(\( 1 + 23 T + 347 T^{2} + 3249 T^{3} + 23249 T^{4} + 103247 T^{5} + 300763 T^{6} \))(\( 1 - 17 T + 281 T^{2} - 2349 T^{3} + 18827 T^{4} - 76313 T^{5} + 300763 T^{6} \))(\( 1 + 15 T + 213 T^{2} + 2009 T^{3} + 14271 T^{4} + 67335 T^{5} + 300763 T^{6} \))(\( 1 - 5 T + 179 T^{2} - 573 T^{3} + 11993 T^{4} - 22445 T^{5} + 300763 T^{6} \))(\( 1 + 12 T + 216 T^{2} + 2268 T^{3} + 20318 T^{4} + 151956 T^{5} + 969624 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 12 T + 216 T^{2} - 2268 T^{3} + 20318 T^{4} - 151956 T^{5} + 969624 T^{6} - 3609156 T^{7} + 20151121 T^{8} \))
$71$ (\( 1 + 16 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 14 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 4 T + 38 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 94 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 12 T + 130 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 18 T + 206 T^{2} - 1278 T^{3} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 130 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 94 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 4 T + 78 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 18 T + 206 T^{2} + 1278 T^{3} + 5041 T^{4} \))(\( 1 - T + 99 T^{2} + 279 T^{3} + 7029 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 - 13 T + 183 T^{2} - 1833 T^{3} + 12993 T^{4} - 65533 T^{5} + 357911 T^{6} \))(\( 1 + 21 T + 297 T^{2} + 2695 T^{3} + 21087 T^{4} + 105861 T^{5} + 357911 T^{6} \))(\( 1 - 3 T + 209 T^{2} - 413 T^{3} + 14839 T^{4} - 15123 T^{5} + 357911 T^{6} \))(\( 1 - T + 99 T^{2} - 561 T^{3} + 7029 T^{4} - 5041 T^{5} + 357911 T^{6} \))(\( 1 - 13 T + 183 T^{2} - 1833 T^{3} + 12993 T^{4} - 65533 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 213 T^{2} - 945 T^{3} + 15123 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 157 T^{2} - 693 T^{3} + 11147 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 + 3 T + 209 T^{2} + 413 T^{3} + 14839 T^{4} + 15123 T^{5} + 357911 T^{6} \))(\( 1 - 21 T + 297 T^{2} - 2695 T^{3} + 21087 T^{4} - 105861 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 183 T^{2} + 1833 T^{3} + 12993 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 + T + 99 T^{2} - 279 T^{3} + 7029 T^{4} + 5041 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 157 T^{2} + 693 T^{3} + 11147 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 7 T + 213 T^{2} + 945 T^{3} + 15123 T^{4} + 35287 T^{5} + 357911 T^{6} \))(\( 1 + 13 T + 183 T^{2} + 1833 T^{3} + 12993 T^{4} + 65533 T^{5} + 357911 T^{6} \))(\( 1 + T + 99 T^{2} + 561 T^{3} + 7029 T^{4} + 5041 T^{5} + 357911 T^{6} \))(\( 1 + 16 T + 184 T^{2} + 1472 T^{3} + 11022 T^{4} + 104512 T^{5} + 927544 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( 1 - 16 T + 184 T^{2} - 1472 T^{3} + 11022 T^{4} - 104512 T^{5} + 927544 T^{6} - 5726576 T^{7} + 25411681 T^{8} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 8 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( 1 + 10 T + 158 T^{2} + 730 T^{3} + 5329 T^{4} \))(\( 1 + 98 T^{2} + 5329 T^{4} \))(\( 1 - 6 T + 2 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 18 T + 210 T^{2} - 1314 T^{3} + 5329 T^{4} \))(\( 1 + 98 T^{2} + 5329 T^{4} \))(\( 1 - 10 T + 158 T^{2} - 730 T^{3} + 5329 T^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( 1 + 18 T + 210 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 2 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 - 15 T + 77 T^{2} - 47 T^{3} + 5621 T^{4} - 79935 T^{5} + 389017 T^{6} \))(\( 1 + 13 T + 161 T^{2} + 1395 T^{3} + 11753 T^{4} + 69277 T^{5} + 389017 T^{6} \))(\( 1 + 7 T + 219 T^{2} + 973 T^{3} + 15987 T^{4} + 37303 T^{5} + 389017 T^{6} \))(\( 1 - 17 T + 271 T^{2} - 2525 T^{3} + 19783 T^{4} - 90593 T^{5} + 389017 T^{6} \))(\( 1 + 25 T + 411 T^{2} + 4069 T^{3} + 30003 T^{4} + 133225 T^{5} + 389017 T^{6} \))(\( 1 + T - 21 T^{2} + 523 T^{3} - 1533 T^{4} + 5329 T^{5} + 389017 T^{6} \))(\( 1 + 3 T + 89 T^{2} + 5 T^{3} + 6497 T^{4} + 15987 T^{5} + 389017 T^{6} \))(\( 1 - 9 T + 113 T^{2} - 1033 T^{3} + 8249 T^{4} - 47961 T^{5} + 389017 T^{6} \))(\( 1 + 17 T + 271 T^{2} + 2525 T^{3} + 19783 T^{4} + 90593 T^{5} + 389017 T^{6} \))(\( 1 - 7 T + 219 T^{2} - 973 T^{3} + 15987 T^{4} - 37303 T^{5} + 389017 T^{6} \))(\( 1 - 13 T + 161 T^{2} - 1395 T^{3} + 11753 T^{4} - 69277 T^{5} + 389017 T^{6} \))(\( 1 + 15 T + 77 T^{2} + 47 T^{3} + 5621 T^{4} + 79935 T^{5} + 389017 T^{6} \))(\( 1 + 9 T + 113 T^{2} + 1033 T^{3} + 8249 T^{4} + 47961 T^{5} + 389017 T^{6} \))(\( 1 - 3 T + 89 T^{2} - 5 T^{3} + 6497 T^{4} - 15987 T^{5} + 389017 T^{6} \))(\( 1 - T - 21 T^{2} - 523 T^{3} - 1533 T^{4} - 5329 T^{5} + 389017 T^{6} \))(\( 1 - 25 T + 411 T^{2} - 4069 T^{3} + 30003 T^{4} - 133225 T^{5} + 389017 T^{6} \))(\( 1 + 12 T + 168 T^{2} + 900 T^{3} + 9326 T^{4} + 65700 T^{5} + 895272 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 168 T^{2} - 900 T^{3} + 9326 T^{4} - 65700 T^{5} + 895272 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))
$79$ (\( 1 + 16 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 14 T + 159 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - 50 T^{2} + 6241 T^{4} \))(\( 1 - 20 T + 210 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 - 19 T + 244 T^{2} - 1501 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 20 T + 210 T^{2} - 1580 T^{3} + 6241 T^{4} \))(\( 1 - 50 T^{2} + 6241 T^{4} \))(\( 1 + 14 T + 159 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 19 T + 244 T^{2} - 1501 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 291 T^{2} - 2383 T^{3} + 22989 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 + 7 T + 181 T^{2} + 1015 T^{3} + 14299 T^{4} + 43687 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 93 T^{2} + 825 T^{3} + 7347 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 25 T + 387 T^{2} + 4075 T^{3} + 30573 T^{4} + 156025 T^{5} + 493039 T^{6} \))(\( 1 + 17 T + 261 T^{2} + 2393 T^{3} + 20619 T^{4} + 106097 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 219 T^{2} + 447 T^{3} + 17301 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 247 T^{2} - 2099 T^{3} + 19513 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 249 T^{2} - 2369 T^{3} + 19671 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 + 25 T + 387 T^{2} + 4075 T^{3} + 30573 T^{4} + 156025 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 93 T^{2} + 825 T^{3} + 7347 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 7 T + 181 T^{2} + 1015 T^{3} + 14299 T^{4} + 43687 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 291 T^{2} - 2383 T^{3} + 22989 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 - 15 T + 249 T^{2} - 2369 T^{3} + 19671 T^{4} - 93615 T^{5} + 493039 T^{6} \))(\( 1 - 17 T + 247 T^{2} - 2099 T^{3} + 19513 T^{4} - 106097 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 219 T^{2} + 447 T^{3} + 17301 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 + 17 T + 261 T^{2} + 2393 T^{3} + 20619 T^{4} + 106097 T^{5} + 493039 T^{6} \))(\( 1 + 10 T + 169 T^{2} + 1510 T^{3} + 17728 T^{4} + 119290 T^{5} + 1054729 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))(\( 1 + 10 T + 169 T^{2} + 1510 T^{3} + 17728 T^{4} + 119290 T^{5} + 1054729 T^{6} + 4930390 T^{7} + 38950081 T^{8} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 4 T + 122 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 20 T + 214 T^{2} + 1660 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 190 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 6 T + 158 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 + 24 T + 278 T^{2} + 1992 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 102 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 190 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 20 T + 214 T^{2} - 1660 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 122 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 + 4 T + 102 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 + 6 T + 158 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 + 6 T + 212 T^{2} + 857 T^{3} + 17596 T^{4} + 41334 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 206 T^{2} - 1405 T^{3} + 17098 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 22 T + 198 T^{2} + 1299 T^{3} + 16434 T^{4} + 151558 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 268 T^{2} - 2943 T^{3} + 22244 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 - 2 T + 234 T^{2} - 303 T^{3} + 19422 T^{4} - 13778 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 276 T^{2} - 1965 T^{3} + 22908 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 6 T + 128 T^{2} + 647 T^{3} + 10624 T^{4} + 41334 T^{5} + 571787 T^{6} \))(\( 1 - 20 T + 366 T^{2} - 3531 T^{3} + 30378 T^{4} - 137780 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 268 T^{2} + 2943 T^{3} + 22244 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 22 T + 198 T^{2} - 1299 T^{3} + 16434 T^{4} - 151558 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 206 T^{2} + 1405 T^{3} + 17098 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 212 T^{2} - 857 T^{3} + 17596 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 + 20 T + 366 T^{2} + 3531 T^{3} + 30378 T^{4} + 137780 T^{5} + 571787 T^{6} \))(\( 1 - 6 T + 128 T^{2} - 647 T^{3} + 10624 T^{4} - 41334 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 276 T^{2} + 1965 T^{3} + 22908 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 + 2 T + 234 T^{2} + 303 T^{3} + 19422 T^{4} + 13778 T^{5} + 571787 T^{6} \))(\( 1 + 16 T + 232 T^{2} + 2048 T^{3} + 19710 T^{4} + 169984 T^{5} + 1598248 T^{6} + 9148592 T^{7} + 47458321 T^{8} \))(\( 1 - 16 T + 232 T^{2} - 2048 T^{3} + 19710 T^{4} - 169984 T^{5} + 1598248 T^{6} - 9148592 T^{7} + 47458321 T^{8} \))
$89$ (\( 1 + 10 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 11 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 - 8 T + 182 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1424 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 35 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 - 17 T + 144 T^{2} - 1513 T^{3} + 7921 T^{4} \))(\( 1 - 20 T + 246 T^{2} - 1780 T^{3} + 7921 T^{4} \))(\( 1 - 2 T + 162 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 35 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 + 8 T + 182 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 + 2 T + 162 T^{2} + 178 T^{3} + 7921 T^{4} \))(\( 1 + 17 T + 144 T^{2} + 1513 T^{3} + 7921 T^{4} \))(\( 1 + 9 T + 147 T^{2} + 1825 T^{3} + 13083 T^{4} + 71289 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 179 T^{2} - 241 T^{3} + 15931 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 + 23 T + 371 T^{2} + 3925 T^{3} + 33019 T^{4} + 182183 T^{5} + 704969 T^{6} \))(\( 1 - 21 T + 239 T^{2} - 1981 T^{3} + 21271 T^{4} - 166341 T^{5} + 704969 T^{6} \))(\( 1 + 7 T + 183 T^{2} + 945 T^{3} + 16287 T^{4} + 55447 T^{5} + 704969 T^{6} \))(\( 1 - T + 27 T^{2} + 831 T^{3} + 2403 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 123 T^{2} + 249 T^{3} + 10947 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 - 3 T + 123 T^{2} - 1025 T^{3} + 10947 T^{4} - 23763 T^{5} + 704969 T^{6} \))(\( 1 + 21 T + 239 T^{2} + 1981 T^{3} + 21271 T^{4} + 166341 T^{5} + 704969 T^{6} \))(\( 1 - 23 T + 371 T^{2} - 3925 T^{3} + 33019 T^{4} - 182183 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 179 T^{2} + 241 T^{3} + 15931 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 - 9 T + 147 T^{2} - 1825 T^{3} + 13083 T^{4} - 71289 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 123 T^{2} + 1025 T^{3} + 10947 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 + 3 T + 123 T^{2} - 249 T^{3} + 10947 T^{4} + 23763 T^{5} + 704969 T^{6} \))(\( 1 + T + 27 T^{2} - 831 T^{3} + 2403 T^{4} + 7921 T^{5} + 704969 T^{6} \))(\( 1 - 7 T + 183 T^{2} - 945 T^{3} + 16287 T^{4} - 55447 T^{5} + 704969 T^{6} \))(\( 1 - 4 T + 241 T^{2} - 284 T^{3} + 26052 T^{4} - 25276 T^{5} + 1908961 T^{6} - 2819876 T^{7} + 62742241 T^{8} \))(\( 1 + 4 T + 241 T^{2} + 284 T^{3} + 26052 T^{4} + 25276 T^{5} + 1908961 T^{6} + 2819876 T^{7} + 62742241 T^{8} \))
$97$ (\( 1 - 6 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 4 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 8 T + 198 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 10 T + 206 T^{2} + 970 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 90 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 186 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 222 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 18 T + 258 T^{2} + 1746 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 90 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( 1 - 10 T + 206 T^{2} - 970 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 198 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 - 18 T + 258 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 186 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 280 T^{2} - 775 T^{3} + 27160 T^{4} - 37636 T^{5} + 912673 T^{6} \))(\( 1 + 270 T^{2} + 7 T^{3} + 26190 T^{4} + 912673 T^{6} \))(\( 1 + 10 T + 182 T^{2} + 2109 T^{3} + 17654 T^{4} + 94090 T^{5} + 912673 T^{6} \))(\( 1 - 6 T + 240 T^{2} - 857 T^{3} + 23280 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 + 18 T + 252 T^{2} + 2329 T^{3} + 24444 T^{4} + 169362 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 2 T^{2} - 1397 T^{3} + 194 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 + 24 T + 434 T^{2} + 4825 T^{3} + 42098 T^{4} + 225816 T^{5} + 912673 T^{6} \))(\( 1 - 16 T + 276 T^{2} - 2641 T^{3} + 26772 T^{4} - 150544 T^{5} + 912673 T^{6} \))(\( 1 + 6 T + 240 T^{2} + 857 T^{3} + 23280 T^{4} + 56454 T^{5} + 912673 T^{6} \))(\( 1 - 10 T + 182 T^{2} - 2109 T^{3} + 17654 T^{4} - 94090 T^{5} + 912673 T^{6} \))(\( 1 + 270 T^{2} - 7 T^{3} + 26190 T^{4} + 912673 T^{6} \))(\( 1 + 4 T + 280 T^{2} + 775 T^{3} + 27160 T^{4} + 37636 T^{5} + 912673 T^{6} \))(\( 1 + 16 T + 276 T^{2} + 2641 T^{3} + 26772 T^{4} + 150544 T^{5} + 912673 T^{6} \))(\( 1 - 24 T + 434 T^{2} - 4825 T^{3} + 42098 T^{4} - 225816 T^{5} + 912673 T^{6} \))(\( 1 - 6 T + 2 T^{2} + 1397 T^{3} + 194 T^{4} - 56454 T^{5} + 912673 T^{6} \))(\( 1 - 18 T + 252 T^{2} - 2329 T^{3} + 24444 T^{4} - 169362 T^{5} + 912673 T^{6} \))(\( 1 - 36 T + 768 T^{2} - 11100 T^{3} + 124766 T^{4} - 1076700 T^{5} + 7226112 T^{6} - 32856228 T^{7} + 88529281 T^{8} \))(\( 1 + 36 T + 768 T^{2} + 11100 T^{3} + 124766 T^{4} + 1076700 T^{5} + 7226112 T^{6} + 32856228 T^{7} + 88529281 T^{8} \))
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