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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 31
7440.2.a.a 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
7440.2.a.b 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{13}+q^{15}+\cdots\)
7440.2.a.c 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots\)
7440.2.a.d 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}-2q^{17}+\cdots\)
7440.2.a.e 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}+q^{9}+q^{15}+2q^{17}+\cdots\)
7440.2.a.f 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots\)
7440.2.a.g 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
7440.2.a.h 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
7440.2.a.i 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots\)
7440.2.a.j 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
7440.2.a.k 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
7440.2.a.l 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
7440.2.a.m 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
7440.2.a.n 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
7440.2.a.o 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(1\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
7440.2.a.p 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(-3\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-3q^{7}+q^{9}-5q^{11}-6q^{13}+\cdots\)
7440.2.a.q 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
7440.2.a.r 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+6q^{11}-2q^{13}+\cdots\)
7440.2.a.s 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}-6q^{13}+\cdots\)
7440.2.a.t 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}+4q^{13}-q^{15}+\cdots\)
7440.2.a.u 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}+4q^{13}-q^{15}+\cdots\)
7440.2.a.v 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(-1\) \(3\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+3q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
7440.2.a.w 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(-4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
7440.2.a.x 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(-3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
7440.2.a.y 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
7440.2.a.z 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}-4q^{17}+\cdots\)
7440.2.a.ba 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}+q^{15}+\cdots\)
7440.2.a.bb 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
7440.2.a.bc 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1+\beta )q^{7}+q^{9}+4q^{11}+\cdots\)
7440.2.a.bd 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{65}) \) None \(0\) \(-2\) \(-2\) \(1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
7440.2.a.be 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(4\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(2+\beta )q^{7}+q^{9}-2\beta q^{11}+\cdots\)
7440.2.a.bf 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-6\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(-3+\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
7440.2.a.bg 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(2\) \(-1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
7440.2.a.bh 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(4\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(2+\beta )q^{7}+q^{9}-2\beta q^{11}+\cdots\)
7440.2.a.bi 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+(-1+\cdots)q^{13}+\cdots\)
7440.2.a.bj 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2+\beta )q^{13}+\cdots\)
7440.2.a.bk 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(6\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(3+\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
7440.2.a.bl 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(2\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-\beta q^{7}+q^{9}-\beta q^{11}+2q^{13}+\cdots\)
7440.2.a.bm 7440.a 1.a $3$ $59.409$ 3.3.148.1 None \(0\) \(-3\) \(-3\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
7440.2.a.bn 7440.a 1.a $3$ $59.409$ 3.3.404.1 None \(0\) \(-3\) \(-3\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(1-\beta _{2})q^{7}+q^{9}-2\beta _{2}q^{11}+\cdots\)
7440.2.a.bo 7440.a 1.a $3$ $59.409$ 3.3.148.1 None \(0\) \(-3\) \(-3\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(1-\beta _{1})q^{7}+q^{9}+(2\beta _{1}+\cdots)q^{11}+\cdots\)
7440.2.a.bp 7440.a 1.a $3$ $59.409$ 3.3.148.1 None \(0\) \(-3\) \(3\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(-1+\beta _{1})q^{7}+q^{9}-2q^{11}+\cdots\)
7440.2.a.bq 7440.a 1.a $3$ $59.409$ 3.3.7636.1 None \(0\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}-2q^{11}+\cdots\)
7440.2.a.br 7440.a 1.a $3$ $59.409$ 3.3.148.1 None \(0\) \(-3\) \(3\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(2\beta _{1}+\beta _{2})q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
7440.2.a.bs 7440.a 1.a $3$ $59.409$ 3.3.564.1 None \(0\) \(3\) \(-3\) \(-8\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-3+\beta _{1})q^{7}+q^{9}-2\beta _{1}q^{11}+\cdots\)
7440.2.a.bt 7440.a 1.a $3$ $59.409$ 3.3.564.1 None \(0\) \(3\) \(-3\) \(-4\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
7440.2.a.bu 7440.a 1.a $3$ $59.409$ 3.3.404.1 None \(0\) \(3\) \(-3\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(1+\beta _{1})q^{7}+q^{9}-4q^{11}+\cdots\)
7440.2.a.bv 7440.a 1.a $3$ $59.409$ 3.3.316.1 None \(0\) \(3\) \(3\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
7440.2.a.bw 7440.a 1.a $3$ $59.409$ 3.3.568.1 None \(0\) \(3\) \(3\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+(-2-\beta _{2})q^{11}+\cdots\)
7440.2.a.bx 7440.a 1.a $4$ $59.409$ 4.4.78292.1 None \(0\) \(4\) \(-4\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-\beta _{1}q^{7}+q^{9}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)
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