Properties

Label 7350.2.a
Level 7350
Weight 2
Character orbit a
Rep. character \(\chi_{7350}(1,\cdot)\)
Character field \(\Q\)
Dimension 131
Newform subspaces 99
Sturm bound 3360
Trace bound 17

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 7350 = 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 7350.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 99 \)
Sturm bound: \(3360\)
Trace bound: \(17\)
Distinguishing \(T_p\): \(11\), \(13\), \(17\), \(19\), \(23\), \(31\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(7350))\).

Total New Old
Modular forms 1776 131 1645
Cusp forms 1585 131 1454
Eisenstein series 191 0 191

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

\(2\)\(3\)\(5\)\(7\)FrickeDim.
\(+\)\(+\)\(+\)\(+\)\(+\)\(7\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(8\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(10\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(7\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(7\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(8\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(9\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(9\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(8\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(7\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(8\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(10\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(6\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(10\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(11\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(6\)
Plus space\(+\)\(58\)
Minus space\(-\)\(73\)

Trace form

\( 131q + q^{2} + q^{3} + 131q^{4} - q^{6} + q^{8} + 131q^{9} + O(q^{10}) \) \( 131q + q^{2} + q^{3} + 131q^{4} - q^{6} + q^{8} + 131q^{9} - 12q^{11} + q^{12} + 6q^{13} + 131q^{16} - 6q^{17} + q^{18} + 4q^{19} - 4q^{22} - 24q^{23} - q^{24} - 22q^{26} + q^{27} - 30q^{29} - 8q^{31} + q^{32} - 10q^{34} + 131q^{36} - 42q^{37} - 12q^{38} - 10q^{39} - 50q^{41} - 44q^{43} - 12q^{44} - 16q^{47} + q^{48} - 6q^{51} + 6q^{52} + 38q^{53} - q^{54} - 20q^{57} + 30q^{58} - 4q^{59} - 14q^{61} - 8q^{62} + 131q^{64} - 4q^{66} - 36q^{67} - 6q^{68} - 8q^{69} - 16q^{71} + q^{72} + 6q^{73} + 10q^{74} + 4q^{76} - 6q^{78} - 20q^{79} + 131q^{81} + 10q^{82} + 28q^{83} - 12q^{86} - 22q^{87} - 4q^{88} + 14q^{89} - 24q^{92} - 16q^{93} - 16q^{94} - q^{96} + 6q^{97} - 12q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(7350))\) 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 7
7350.2.a.a \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.b \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.c \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.d \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.e \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.f \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.g \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.h \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.i \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.j \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.k \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.l \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.m \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.n \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.o \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.p \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.q \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.r \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.s \(1\) \(58.690\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.t \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.u \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.v \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.w \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.x \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.y \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.z \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.ba \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bb \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bc \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bd \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.be \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bf \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bg \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bh \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bi \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bj \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bk \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bl \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bm \(1\) \(58.690\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.bn \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bo \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bp \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bq \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.br \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bs \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bt \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bu \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bv \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bw \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bx \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.by \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.bz \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ca \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cb \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cc \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cd \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ce \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cf \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cg \(1\) \(58.690\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ch \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ci \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cj \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ck \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cl \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cm \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cn \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.co \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cp \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cq \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cr \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cs \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.ct \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cu \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cv \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cw \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cx \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cy \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.cz \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.da \(1\) \(58.690\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.db \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dc \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dd \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.de \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.df \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dg \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dh \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.di \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dj \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dk \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dl \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dm \(2\) \(58.690\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dn \(3\) \(58.690\) 3.3.2700.1 None \(-3\) \(-3\) \(0\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.do \(3\) \(58.690\) 3.3.2700.1 None \(-3\) \(3\) \(0\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dp \(3\) \(58.690\) 3.3.2700.1 None \(3\) \(-3\) \(0\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dq \(3\) \(58.690\) 3.3.2700.1 None \(3\) \(3\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.dr \(4\) \(58.690\) 4.4.10304.1 None \(-4\) \(-4\) \(0\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.ds \(4\) \(58.690\) 4.4.10304.1 None \(-4\) \(4\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
7350.2.a.dt \(4\) \(58.690\) 4.4.10304.1 None \(4\) \(-4\) \(0\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
7350.2.a.du \(4\) \(58.690\) 4.4.10304.1 None \(4\) \(4\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(7350))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(7350)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(49))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(50))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(70))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(98))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(147))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(150))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(175))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(210))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(245))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(294))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(350))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(490))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(525))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(735))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1050))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1225))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1470))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2450))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3675))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 - T )^{4} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))
$5$ 1
$7$ 1
$11$ (\( 1 + 5 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 5 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 5 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 24 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 3 T + 6 T^{2} - 17 T^{3} + 66 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 - 3 T + 6 T^{2} - 17 T^{3} + 66 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 - 3 T + 6 T^{2} - 17 T^{3} + 66 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 - 3 T + 6 T^{2} - 17 T^{3} + 66 T^{4} - 363 T^{5} + 1331 T^{6} \))(\( 1 + 26 T^{2} - 16 T^{3} + 362 T^{4} - 176 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 16 T^{3} + 362 T^{4} - 176 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 16 T^{3} + 362 T^{4} - 176 T^{5} + 3146 T^{6} + 14641 T^{8} \))(\( 1 + 26 T^{2} - 16 T^{3} + 362 T^{4} - 176 T^{5} + 3146 T^{6} + 14641 T^{8} \))
$13$ (\( 1 + 5 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 6 T + 27 T^{2} - 78 T^{3} + 169 T^{4} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 6 T + 27 T^{2} + 78 T^{3} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 - 6 T + 27 T^{2} - 78 T^{3} + 169 T^{4} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( 1 + 6 T + 27 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( ( 1 - 3 T + 13 T^{2} )^{2} \))(\( 1 + 3 T + 27 T^{2} + 54 T^{3} + 351 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 27 T^{2} - 54 T^{3} + 351 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 + 3 T + 27 T^{2} + 54 T^{3} + 351 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 27 T^{2} - 54 T^{3} + 351 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 + 26 T^{2} - 48 T^{3} + 322 T^{4} - 624 T^{5} + 4394 T^{6} + 28561 T^{8} \))(\( 1 + 26 T^{2} + 48 T^{3} + 322 T^{4} + 624 T^{5} + 4394 T^{6} + 28561 T^{8} \))(\( 1 + 26 T^{2} - 48 T^{3} + 322 T^{4} - 624 T^{5} + 4394 T^{6} + 28561 T^{8} \))(\( 1 + 26 T^{2} + 48 T^{3} + 322 T^{4} + 624 T^{5} + 4394 T^{6} + 28561 T^{8} \))
$17$ (\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 7 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 7 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 2 T + 3 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 48 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + 2 T + 3 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 48 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 3 T^{2} - 68 T^{3} + 51 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 3 T^{2} + 68 T^{3} + 51 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 6 T + 3 T^{2} - 68 T^{3} + 51 T^{4} + 1734 T^{5} + 4913 T^{6} \))(\( 1 - 6 T + 3 T^{2} + 68 T^{3} + 51 T^{4} - 1734 T^{5} + 4913 T^{6} \))(\( 1 + 4 T + 36 T^{2} + 196 T^{3} + 770 T^{4} + 3332 T^{5} + 10404 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 36 T^{2} - 196 T^{3} + 770 T^{4} - 3332 T^{5} + 10404 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 36 T^{2} + 196 T^{3} + 770 T^{4} + 3332 T^{5} + 10404 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 36 T^{2} - 196 T^{3} + 770 T^{4} - 3332 T^{5} + 10404 T^{6} - 19652 T^{7} + 83521 T^{8} \))
$19$ (\( 1 - 7 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 3 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 3 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 8 T + 52 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 36 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 - 8 T + 52 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 36 T^{2} + 361 T^{4} \))(\( 1 - 8 T + 46 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 - 8 T + 52 T^{2} - 152 T^{3} + 361 T^{4} \))(\( 1 + 36 T^{2} + 361 T^{4} \))(\( 1 + 8 T + 52 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 8 T + 46 T^{2} + 152 T^{3} + 361 T^{4} \))(\( 1 + 36 T^{2} + 361 T^{4} \))(\( 1 - 3 T + 45 T^{2} - 90 T^{3} + 855 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 + 3 T + 45 T^{2} + 90 T^{3} + 855 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 + 3 T + 45 T^{2} + 90 T^{3} + 855 T^{4} + 1083 T^{5} + 6859 T^{6} \))(\( 1 - 3 T + 45 T^{2} - 90 T^{3} + 855 T^{4} - 1083 T^{5} + 6859 T^{6} \))(\( 1 - 12 T + 88 T^{2} - 460 T^{3} + 2174 T^{4} - 8740 T^{5} + 31768 T^{6} - 82308 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 88 T^{2} + 460 T^{3} + 2174 T^{4} + 8740 T^{5} + 31768 T^{6} + 82308 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 88 T^{2} + 460 T^{3} + 2174 T^{4} + 8740 T^{5} + 31768 T^{6} + 82308 T^{7} + 130321 T^{8} \))(\( 1 - 12 T + 88 T^{2} - 460 T^{3} + 2174 T^{4} - 8740 T^{5} + 31768 T^{6} - 82308 T^{7} + 130321 T^{8} \))
$23$ (\( 1 + T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 6 T + 53 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 45 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 42 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 53 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 42 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 45 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 74 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 53 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 45 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 53 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 74 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 45 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 9 T + 81 T^{2} + 406 T^{3} + 1863 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 + 9 T + 81 T^{2} + 406 T^{3} + 1863 T^{4} + 4761 T^{5} + 12167 T^{6} \))(\( 1 - 9 T + 81 T^{2} - 406 T^{3} + 1863 T^{4} - 4761 T^{5} + 12167 T^{6} \))(\( 1 - 9 T + 81 T^{2} - 406 T^{3} + 1863 T^{4} - 4761 T^{5} + 12167 T^{6} \))(\( 1 + 4 T + 56 T^{2} + 276 T^{3} + 1646 T^{4} + 6348 T^{5} + 29624 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 + 4 T + 56 T^{2} + 276 T^{3} + 1646 T^{4} + 6348 T^{5} + 29624 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 56 T^{2} - 276 T^{3} + 1646 T^{4} - 6348 T^{5} + 29624 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 56 T^{2} - 276 T^{3} + 1646 T^{4} - 6348 T^{5} + 29624 T^{6} - 48668 T^{7} + 279841 T^{8} \))
$29$ (\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 4 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 7 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 + 10 T + 51 T^{2} + 290 T^{3} + 841 T^{4} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 + 10 T + 51 T^{2} + 290 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 56 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( 1 - 8 T + 72 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 + 10 T + 51 T^{2} + 290 T^{3} + 841 T^{4} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( 1 + 10 T + 51 T^{2} + 290 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 72 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( 1 - 12 T + 120 T^{2} - 720 T^{3} + 3480 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 720 T^{3} + 3480 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 720 T^{3} + 3480 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 - 12 T + 120 T^{2} - 720 T^{3} + 3480 T^{4} - 10092 T^{5} + 24389 T^{6} \))(\( 1 + 8 T + 50 T^{2} + 360 T^{3} + 2786 T^{4} + 10440 T^{5} + 42050 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 50 T^{2} + 360 T^{3} + 2786 T^{4} + 10440 T^{5} + 42050 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 50 T^{2} + 360 T^{3} + 2786 T^{4} + 10440 T^{5} + 42050 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 + 8 T + 50 T^{2} + 360 T^{3} + 2786 T^{4} + 10440 T^{5} + 42050 T^{6} + 195112 T^{7} + 707281 T^{8} \))
$31$ (\( 1 - 2 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 11 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 3 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 11 T + 31 T^{2} \))(\( 1 + 6 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 6 T + 53 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 2 T + 61 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 16 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 53 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 16 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 61 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 80 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 53 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 61 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 53 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 + 12 T + 80 T^{2} + 372 T^{3} + 961 T^{4} \))(\( 1 - 2 T + 61 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 78 T^{2} - 10 T^{3} + 2418 T^{4} + 29791 T^{6} \))(\( 1 + 78 T^{2} + 10 T^{3} + 2418 T^{4} + 29791 T^{6} \))(\( 1 + 78 T^{2} + 10 T^{3} + 2418 T^{4} + 29791 T^{6} \))(\( 1 + 78 T^{2} - 10 T^{3} + 2418 T^{4} + 29791 T^{6} \))(\( 1 - 16 T + 202 T^{2} - 1616 T^{3} + 10666 T^{4} - 50096 T^{5} + 194122 T^{6} - 476656 T^{7} + 923521 T^{8} \))(\( 1 + 16 T + 202 T^{2} + 1616 T^{3} + 10666 T^{4} + 50096 T^{5} + 194122 T^{6} + 476656 T^{7} + 923521 T^{8} \))(\( 1 + 16 T + 202 T^{2} + 1616 T^{3} + 10666 T^{4} + 50096 T^{5} + 194122 T^{6} + 476656 T^{7} + 923521 T^{8} \))(\( 1 - 16 T + 202 T^{2} - 1616 T^{3} + 10666 T^{4} - 50096 T^{5} + 194122 T^{6} - 476656 T^{7} + 923521 T^{8} \))
$37$ (\( 1 + T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 11 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 8 T + 72 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 24 T^{2} + 1369 T^{4} \))(\( 1 + 72 T^{2} + 1369 T^{4} \))(\( 1 - 8 T + 72 T^{2} - 296 T^{3} + 1369 T^{4} \))(\( 1 + 72 T^{2} + 1369 T^{4} \))(\( 1 + 24 T^{2} + 1369 T^{4} \))(\( 1 + 8 T + 72 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 72 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 24 T^{2} + 1369 T^{4} \))(\( 1 + 8 T + 72 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 72 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 24 T^{2} + 1369 T^{4} \))(\( 1 + 9 T + 123 T^{2} + 658 T^{3} + 4551 T^{4} + 12321 T^{5} + 50653 T^{6} \))(\( 1 + 9 T + 123 T^{2} + 658 T^{3} + 4551 T^{4} + 12321 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 123 T^{2} - 658 T^{3} + 4551 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 - 9 T + 123 T^{2} - 658 T^{3} + 4551 T^{4} - 12321 T^{5} + 50653 T^{6} \))(\( 1 - 8 T + 106 T^{2} - 768 T^{3} + 5306 T^{4} - 28416 T^{5} + 145114 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T + 106 T^{2} - 768 T^{3} + 5306 T^{4} - 28416 T^{5} + 145114 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 106 T^{2} + 768 T^{3} + 5306 T^{4} + 28416 T^{5} + 145114 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 106 T^{2} + 768 T^{3} + 5306 T^{4} + 28416 T^{5} + 145114 T^{6} + 405224 T^{7} + 1874161 T^{8} \))
$41$ (\( 1 + 5 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 11 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 5 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 11 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 5 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( ( 1 + 7 T + 41 T^{2} )^{2} \))(\( 1 - 6 T + 83 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( 1 - 12 T + 110 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 6 T + 83 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 14 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( 1 + 6 T + 83 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( ( 1 + 7 T + 41 T^{2} )^{2} \))(\( 1 - 4 T + 14 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( 1 - 6 T + 83 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 75 T^{2} + 610 T^{3} + 3075 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 75 T^{2} - 610 T^{3} + 3075 T^{4} - 15129 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 75 T^{2} - 610 T^{3} + 3075 T^{4} - 15129 T^{5} + 68921 T^{6} \))(\( 1 + 9 T + 75 T^{2} + 610 T^{3} + 3075 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 - 12 T + 190 T^{2} - 1356 T^{3} + 11842 T^{4} - 55596 T^{5} + 319390 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 190 T^{2} + 1356 T^{3} + 11842 T^{4} + 55596 T^{5} + 319390 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T + 190 T^{2} + 1356 T^{3} + 11842 T^{4} + 55596 T^{5} + 319390 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 - 12 T + 190 T^{2} - 1356 T^{3} + 11842 T^{4} - 55596 T^{5} + 319390 T^{6} - 827052 T^{7} + 2825761 T^{8} \))
$43$ (\( 1 + 12 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 2 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 10 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - T + 43 T^{2} \))(\( 1 - 6 T + 43 T^{2} \))(\( 1 - 10 T + 109 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 - 6 T + 93 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 120 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 - 10 T + 109 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 120 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 - 6 T + 93 T^{2} - 258 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 40 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 10 T + 109 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 93 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( 1 + 10 T + 109 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 40 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 6 T + 93 T^{2} + 258 T^{3} + 1849 T^{4} \))(\( ( 1 - 2 T + 43 T^{2} )^{3} \))(\( ( 1 - 2 T + 43 T^{2} )^{3} \))(\( ( 1 + 2 T + 43 T^{2} )^{3} \))(\( ( 1 + 2 T + 43 T^{2} )^{3} \))(\( 1 + 4 T + 62 T^{2} + 148 T^{3} + 2370 T^{4} + 6364 T^{5} + 114638 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 4 T + 62 T^{2} + 148 T^{3} + 2370 T^{4} + 6364 T^{5} + 114638 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 62 T^{2} - 148 T^{3} + 2370 T^{4} - 6364 T^{5} + 114638 T^{6} - 318028 T^{7} + 3418801 T^{8} \))(\( 1 - 4 T + 62 T^{2} - 148 T^{3} + 2370 T^{4} - 6364 T^{5} + 114638 T^{6} - 318028 T^{7} + 3418801 T^{8} \))
$47$ (\( 1 + 11 T + 47 T^{2} \))(\( 1 - 13 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( 1 - 11 T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 13 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + 5 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 13 T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 5 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 78 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 48 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( 1 + 4 T + 48 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 4 T + 80 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 78 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( 1 + 4 T + 80 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 9 T^{2} + 122 T^{3} + 423 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 9 T^{2} - 122 T^{3} + 423 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 9 T^{2} + 122 T^{3} + 423 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 9 T^{2} - 122 T^{3} + 423 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 + 12 T + 158 T^{2} + 1180 T^{3} + 9410 T^{4} + 55460 T^{5} + 349022 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 158 T^{2} - 1180 T^{3} + 9410 T^{4} - 55460 T^{5} + 349022 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 158 T^{2} + 1180 T^{3} + 9410 T^{4} + 55460 T^{5} + 349022 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 158 T^{2} - 1180 T^{3} + 9410 T^{4} - 55460 T^{5} + 349022 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))
$53$ (\( 1 - 9 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 5 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 5 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 11 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 5 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 11 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 11 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 5 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 11 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 - 12 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 6 T + 83 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 742 T^{3} + 2809 T^{4} \))(\( 1 + 4 T - 18 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 6 T + 83 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 4 T - 18 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 742 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 83 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 123 T^{2} + 742 T^{3} + 2809 T^{4} \))(\( 1 + 6 T + 83 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 636 T^{3} + 2809 T^{4} \))(\( 1 + 14 T + 123 T^{2} + 742 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 66 T^{2} - 141 T^{3} + 3498 T^{4} - 25281 T^{5} + 148877 T^{6} \))(\( 1 - 9 T + 66 T^{2} - 141 T^{3} + 3498 T^{4} - 25281 T^{5} + 148877 T^{6} \))(\( 1 + 9 T + 66 T^{2} + 141 T^{3} + 3498 T^{4} + 25281 T^{5} + 148877 T^{6} \))(\( 1 + 9 T + 66 T^{2} + 141 T^{3} + 3498 T^{4} + 25281 T^{5} + 148877 T^{6} \))(\( 1 + 20 T + 320 T^{2} + 3340 T^{3} + 28366 T^{4} + 177020 T^{5} + 898880 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 + 20 T + 320 T^{2} + 3340 T^{3} + 28366 T^{4} + 177020 T^{5} + 898880 T^{6} + 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 320 T^{2} - 3340 T^{3} + 28366 T^{4} - 177020 T^{5} + 898880 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 320 T^{2} - 3340 T^{3} + 28366 T^{4} - 177020 T^{5} + 898880 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 + 14 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 2 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 13 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 11 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 13 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 11 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 13 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 5 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 + 14 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 7 T + 59 T^{2} \))(\( 1 - 2 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 13 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 6 T + 125 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 109 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 82 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 125 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 82 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 109 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 146 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 125 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 109 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 6 T + 125 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 146 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 6 T + 109 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 150 T^{2} + 980 T^{3} + 8850 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 150 T^{2} - 980 T^{3} + 8850 T^{4} - 41772 T^{5} + 205379 T^{6} \))(\( 1 - 12 T + 150 T^{2} - 980 T^{3} + 8850 T^{4} - 41772 T^{5} + 205379 T^{6} \))(\( 1 + 12 T + 150 T^{2} + 980 T^{3} + 8850 T^{4} + 41772 T^{5} + 205379 T^{6} \))(\( 1 - 20 T + 288 T^{2} - 2804 T^{3} + 24014 T^{4} - 165436 T^{5} + 1002528 T^{6} - 4107580 T^{7} + 12117361 T^{8} \))(\( 1 + 20 T + 288 T^{2} + 2804 T^{3} + 24014 T^{4} + 165436 T^{5} + 1002528 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 + 20 T + 288 T^{2} + 2804 T^{3} + 24014 T^{4} + 165436 T^{5} + 1002528 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 - 20 T + 288 T^{2} - 2804 T^{3} + 24014 T^{4} - 165436 T^{5} + 1002528 T^{6} - 4107580 T^{7} + 12117361 T^{8} \))
$61$ (\( 1 + 4 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 11 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 13 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 11 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 123 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 126 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 126 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 + 6 T + 123 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 126 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 + 6 T + 123 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 126 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 123 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 75 T^{2} - 20 T^{3} + 4575 T^{4} - 22326 T^{5} + 226981 T^{6} \))(\( 1 + 6 T + 75 T^{2} + 20 T^{3} + 4575 T^{4} + 22326 T^{5} + 226981 T^{6} \))(\( 1 + 6 T + 75 T^{2} + 20 T^{3} + 4575 T^{4} + 22326 T^{5} + 226981 T^{6} \))(\( 1 - 6 T + 75 T^{2} - 20 T^{3} + 4575 T^{4} - 22326 T^{5} + 226981 T^{6} \))(\( 1 - 12 T + 118 T^{2} - 684 T^{3} + 6306 T^{4} - 41724 T^{5} + 439078 T^{6} - 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 12 T + 118 T^{2} + 684 T^{3} + 6306 T^{4} + 41724 T^{5} + 439078 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 12 T + 118 T^{2} + 684 T^{3} + 6306 T^{4} + 41724 T^{5} + 439078 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 - 12 T + 118 T^{2} - 684 T^{3} + 6306 T^{4} - 41724 T^{5} + 439078 T^{6} - 2723772 T^{7} + 13845841 T^{8} \))
$67$ (\( 1 - 12 T + 67 T^{2} \))(\( 1 - 6 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 6 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 2 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 2 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 6 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 3 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 6 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 3 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 14 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 10 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 14 T + 67 T^{2} \))(\( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 22 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 22 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 88 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 118 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 22 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 118 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 + 4 T + 88 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 22 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 6 T + 93 T^{2} - 412 T^{3} + 6231 T^{4} - 26934 T^{5} + 300763 T^{6} \))(\( 1 - 6 T + 93 T^{2} - 412 T^{3} + 6231 T^{4} - 26934 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 93 T^{2} + 412 T^{3} + 6231 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 + 6 T + 93 T^{2} + 412 T^{3} + 6231 T^{4} + 26934 T^{5} + 300763 T^{6} \))(\( 1 - 4 T + 254 T^{2} - 788 T^{3} + 25090 T^{4} - 52796 T^{5} + 1140206 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 254 T^{2} - 788 T^{3} + 25090 T^{4} - 52796 T^{5} + 1140206 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 254 T^{2} + 788 T^{3} + 25090 T^{4} + 52796 T^{5} + 1140206 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 254 T^{2} + 788 T^{3} + 25090 T^{4} + 52796 T^{5} + 1140206 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))
$71$ (\( 1 - 2 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + T + 71 T^{2} \))(\( 1 + 14 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 9 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 16 T + 198 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 - 16 T + 198 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{3} \))(\( ( 1 - 6 T + 71 T^{2} )^{3} \))(\( ( 1 - 6 T + 71 T^{2} )^{3} \))(\( ( 1 - 6 T + 71 T^{2} )^{3} \))(\( 1 + 20 T + 248 T^{2} + 2788 T^{3} + 28078 T^{4} + 197948 T^{5} + 1250168 T^{6} + 7158220 T^{7} + 25411681 T^{8} \))(\( 1 + 20 T + 248 T^{2} + 2788 T^{3} + 28078 T^{4} + 197948 T^{5} + 1250168 T^{6} + 7158220 T^{7} + 25411681 T^{8} \))(\( 1 + 20 T + 248 T^{2} + 2788 T^{3} + 28078 T^{4} + 197948 T^{5} + 1250168 T^{6} + 7158220 T^{7} + 25411681 T^{8} \))(\( 1 + 20 T + 248 T^{2} + 2788 T^{3} + 28078 T^{4} + 197948 T^{5} + 1250168 T^{6} + 7158220 T^{7} + 25411681 T^{8} \))
$73$ (\( 1 - 10 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 5 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 5 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 5 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 5 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 8 T + 144 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 160 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 + 4 T + 118 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 144 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 4 T + 118 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 160 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( 1 - 8 T + 144 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 160 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 144 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( 1 - 16 T + 160 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( ( 1 + 4 T + 73 T^{2} )^{3} \))(\( ( 1 - 4 T + 73 T^{2} )^{3} \))(\( ( 1 + 4 T + 73 T^{2} )^{3} \))(\( ( 1 - 4 T + 73 T^{2} )^{3} \))(\( 1 - 12 T + 206 T^{2} - 2092 T^{3} + 19170 T^{4} - 152716 T^{5} + 1097774 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 206 T^{2} + 2092 T^{3} + 19170 T^{4} + 152716 T^{5} + 1097774 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 206 T^{2} - 2092 T^{3} + 19170 T^{4} - 152716 T^{5} + 1097774 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 206 T^{2} + 2092 T^{3} + 19170 T^{4} + 152716 T^{5} + 1097774 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))
$79$ (\( 1 + 12 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 3 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 - 3 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 12 T + 79 T^{2} \))(\( 1 + 2 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 14 T + 79 T^{2} \))(\( 1 + 17 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + 6 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 7 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 4 T + 144 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 144 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 - 4 T + 144 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 30 T^{2} + 6241 T^{4} \))(\( 1 + 12 T + 144 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 4 T + 144 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( 1 + 12 T + 144 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 - 4 T + 144 T^{2} - 316 T^{3} + 6241 T^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 + 12 T + 144 T^{2} + 948 T^{3} + 6241 T^{4} \))(\( 1 - 24 T + 414 T^{2} - 4194 T^{3} + 32706 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 414 T^{2} - 4194 T^{3} + 32706 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 414 T^{2} - 4194 T^{3} + 32706 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 - 24 T + 414 T^{2} - 4194 T^{3} + 32706 T^{4} - 149784 T^{5} + 493039 T^{6} \))(\( 1 + 8 T + 140 T^{2} + 104 T^{3} + 6054 T^{4} + 8216 T^{5} + 873740 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 104 T^{3} + 6054 T^{4} + 8216 T^{5} + 873740 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 104 T^{3} + 6054 T^{4} + 8216 T^{5} + 873740 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 8 T + 140 T^{2} + 104 T^{3} + 6054 T^{4} + 8216 T^{5} + 873740 T^{6} + 3944312 T^{7} + 38950081 T^{8} \))
$83$ (\( 1 + 12 T + 83 T^{2} \))(\( 1 - 10 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 13 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 13 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 11 T + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 10 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 13 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 - 11 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 10 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 13 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 14 T + 213 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 + 14 T + 165 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 213 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 - 16 T + 222 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 + 14 T + 213 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 + 14 T + 165 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 213 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 16 T + 222 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 222 T^{2} + 1906 T^{3} + 18426 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 222 T^{2} - 1906 T^{3} + 18426 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 12 T + 222 T^{2} + 1906 T^{3} + 18426 T^{4} + 82668 T^{5} + 571787 T^{6} \))(\( 1 - 12 T + 222 T^{2} - 1906 T^{3} + 18426 T^{4} - 82668 T^{5} + 571787 T^{6} \))(\( 1 + 8 T + 244 T^{2} + 2056 T^{3} + 26854 T^{4} + 170648 T^{5} + 1680916 T^{6} + 4574296 T^{7} + 47458321 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2056 T^{3} + 26854 T^{4} - 170648 T^{5} + 1680916 T^{6} - 4574296 T^{7} + 47458321 T^{8} \))(\( 1 + 8 T + 244 T^{2} + 2056 T^{3} + 26854 T^{4} + 170648 T^{5} + 1680916 T^{6} + 4574296 T^{7} + 47458321 T^{8} \))(\( 1 - 8 T + 244 T^{2} - 2056 T^{3} + 26854 T^{4} - 170648 T^{5} + 1680916 T^{6} - 4574296 T^{7} + 47458321 T^{8} \))
$89$ (\( 1 + 14 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 11 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 - 11 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 3 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 + 2 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 11 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 - 14 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 + 8 T + 66 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( ( 1 + 4 T + 89 T^{2} )^{2} \))(\( 1 - 4 T + 110 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 4 T + 110 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( ( 1 - 4 T + 89 T^{2} )^{2} \))(\( 1 + 4 T + 174 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( ( 1 - 4 T + 89 T^{2} )^{2} \))(\( 1 + 8 T + 66 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 4 T + 174 T^{2} - 356 T^{3} + 7921 T^{4} \))(\( ( 1 + 4 T + 89 T^{2} )^{2} \))(\( 1 + 6 T + 159 T^{2} + 676 T^{3} + 14151 T^{4} + 47526 T^{5} + 704969 T^{6} \))(\( 1 - 6 T + 159 T^{2} - 676 T^{3} + 14151 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 - 6 T + 159 T^{2} - 676 T^{3} + 14151 T^{4} - 47526 T^{5} + 704969 T^{6} \))(\( 1 + 6 T + 159 T^{2} + 676 T^{3} + 14151 T^{4} + 47526 T^{5} + 704969 T^{6} \))(\( 1 - 44 T + 1014 T^{2} - 15436 T^{3} + 169698 T^{4} - 1373804 T^{5} + 8031894 T^{6} - 31018636 T^{7} + 62742241 T^{8} \))(\( 1 + 44 T + 1014 T^{2} + 15436 T^{3} + 169698 T^{4} + 1373804 T^{5} + 8031894 T^{6} + 31018636 T^{7} + 62742241 T^{8} \))(\( 1 + 44 T + 1014 T^{2} + 15436 T^{3} + 169698 T^{4} + 1373804 T^{5} + 8031894 T^{6} + 31018636 T^{7} + 62742241 T^{8} \))(\( 1 - 44 T + 1014 T^{2} - 15436 T^{3} + 169698 T^{4} - 1373804 T^{5} + 8031894 T^{6} - 31018636 T^{7} + 62742241 T^{8} \))
$97$ (\( 1 + 8 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 17 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 16 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 - 17 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( 1 - 12 T + 198 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 12 T + 222 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( 1 - 12 T + 222 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 12 T + 198 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 4 T + 126 T^{2} - 388 T^{3} + 9409 T^{4} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( 1 - 12 T + 198 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( 1 + 4 T + 126 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 + 12 T + 198 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 24 T + 408 T^{2} - 4768 T^{3} + 39576 T^{4} - 225816 T^{5} + 912673 T^{6} \))(\( 1 + 24 T + 408 T^{2} + 4768 T^{3} + 39576 T^{4} + 225816 T^{5} + 912673 T^{6} \))(\( 1 - 24 T + 408 T^{2} - 4768 T^{3} + 39576 T^{4} - 225816 T^{5} + 912673 T^{6} \))(\( 1 + 24 T + 408 T^{2} + 4768 T^{3} + 39576 T^{4} + 225816 T^{5} + 912673 T^{6} \))(\( 1 + 20 T + 374 T^{2} + 3636 T^{3} + 43362 T^{4} + 352692 T^{5} + 3518966 T^{6} + 18253460 T^{7} + 88529281 T^{8} \))(\( 1 - 20 T + 374 T^{2} - 3636 T^{3} + 43362 T^{4} - 352692 T^{5} + 3518966 T^{6} - 18253460 T^{7} + 88529281 T^{8} \))(\( 1 + 20 T + 374 T^{2} + 3636 T^{3} + 43362 T^{4} + 352692 T^{5} + 3518966 T^{6} + 18253460 T^{7} + 88529281 T^{8} \))(\( 1 - 20 T + 374 T^{2} - 3636 T^{3} + 43362 T^{4} - 352692 T^{5} + 3518966 T^{6} - 18253460 T^{7} + 88529281 T^{8} \))
show more
show less