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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 13
7605.2.a.a 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-2\) \(0\) \(1\) \(5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+q^{5}+5q^{7}-2q^{10}+\cdots\)
7605.2.a.b 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}-4q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.c 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}-2q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.d 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.e 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.f 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.g 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}-4q^{11}+\cdots\)
7605.2.a.h 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+4q^{11}+\cdots\)
7605.2.a.i 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}-3q^{7}-3q^{11}+4q^{16}+\cdots\)
7605.2.a.j 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+q^{7}+3q^{11}+4q^{16}+\cdots\)
7605.2.a.k 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+q^{7}+6q^{11}+4q^{16}+\cdots\)
7605.2.a.l 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}-q^{7}-6q^{11}+4q^{16}+\cdots\)
7605.2.a.m 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+q^{7}-3q^{11}+4q^{16}+\cdots\)
7605.2.a.n 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+3q^{7}+3q^{11}+4q^{16}+\cdots\)
7605.2.a.o 7605.a 1.a $1$ $60.726$ \(\Q\) None \(1\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-4q^{7}-3q^{8}+q^{10}+\cdots\)
7605.2.a.p 7605.a 1.a $1$ $60.726$ \(\Q\) None \(1\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots\)
7605.2.a.q 7605.a 1.a $1$ $60.726$ \(\Q\) None \(1\) \(0\) \(1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots\)
7605.2.a.r 7605.a 1.a $1$ $60.726$ \(\Q\) None \(1\) \(0\) \(1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}+4q^{7}-3q^{8}+q^{10}+\cdots\)
7605.2.a.s 7605.a 1.a $1$ $60.726$ \(\Q\) None \(2\) \(0\) \(-1\) \(-5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}-5q^{7}-2q^{10}+\cdots\)
7605.2.a.t 7605.a 1.a $1$ $60.726$ \(\Q\) None \(2\) \(0\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots\)
7605.2.a.u 7605.a 1.a $1$ $60.726$ \(\Q\) None \(2\) \(0\) \(1\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}-3q^{7}+2q^{10}+\cdots\)
7605.2.a.v 7605.a 1.a $1$ $60.726$ \(\Q\) None \(2\) \(0\) \(1\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+3q^{7}+2q^{10}+\cdots\)
7605.2.a.w 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{13}) \) None \(-4\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+q^{5}-\beta q^{7}-2q^{10}+\cdots\)
7605.2.a.x 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-2+\cdots)q^{7}+\cdots\)
7605.2.a.y 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}-q^{5}+(-1+\cdots)q^{7}+\cdots\)
7605.2.a.z 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+q^{5}+\beta q^{7}+\cdots\)
7605.2.a.ba 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(-2\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}-q^{5}+(3-2\beta )q^{7}+\cdots\)
7605.2.a.bb 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{13}) \) None \(-1\) \(0\) \(-2\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots\)
7605.2.a.bc 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-2\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+(-1-\beta )q^{7}+\cdots\)
7605.2.a.bd 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-2\) \(5\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+(3-\beta )q^{7}+\cdots\)
7605.2.a.be 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}-q^{5}-2q^{7}-\beta q^{8}-\beta q^{10}+\cdots\)
7605.2.a.bf 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-3+2\beta )q^{7}+\cdots\)
7605.2.a.bg 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{13}) \) None \(1\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1+\beta )q^{4}+q^{5}-q^{7}+3q^{8}+\cdots\)
7605.2.a.bh 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(2\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(1+\beta )q^{7}+\cdots\)
7605.2.a.bi 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(2\) \(5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(3-\beta )q^{7}+\cdots\)
7605.2.a.bj 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+\beta q^{7}+\cdots\)
7605.2.a.bk 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(1-2\beta )q^{7}+\cdots\)
7605.2.a.bl 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{13}) \) None \(4\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}+\beta q^{7}-2q^{10}+\cdots\)
7605.2.a.bm 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-3\) \(0\) \(3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{2})q^{2}+(4-\beta _{1})q^{4}+\cdots\)
7605.2.a.bn 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-2\) \(0\) \(-3\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
7605.2.a.bo 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-1\) \(0\) \(-3\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bp 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-1\) \(0\) \(3\) \(-12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}-4q^{7}+(-1+\cdots)q^{8}+\cdots\)
7605.2.a.bq 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-1\) \(0\) \(3\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.br 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-1\) \(0\) \(3\) \(5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
7605.2.a.bs 7605.a 1.a $3$ $60.726$ 3.3.564.1 None \(-1\) \(0\) \(3\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1+\beta _{2})q^{7}+\cdots\)
7605.2.a.bt 7605.a 1.a $3$ $60.726$ 3.3.148.1 None \(0\) \(0\) \(-3\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots\)
7605.2.a.bu 7605.a 1.a $3$ $60.726$ 3.3.148.1 None \(0\) \(0\) \(3\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+q^{5}+(-1+\cdots)q^{7}+\cdots\)
7605.2.a.bv 7605.a 1.a $3$ $60.726$ 3.3.756.1 None \(0\) \(0\) \(-3\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bw 7605.a 1.a $3$ $60.726$ 3.3.756.1 None \(0\) \(0\) \(3\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bx 7605.a 1.a $3$ $60.726$ 3.3.316.1 None \(0\) \(0\) \(-3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}-q^{5}+\beta _{2}q^{7}+\cdots\)
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