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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 11
9680.2.a.a 9680.a 1.a $1$ $77.295$ \(\Q\) None 440.2.a.d \(0\) \(-3\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+q^{7}+6q^{9}+6q^{13}+\cdots\)
9680.2.a.b 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.g \(0\) \(-2\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}-6q^{13}+2q^{15}+\cdots\)
9680.2.a.c 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.g \(0\) \(-2\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}+6q^{13}+2q^{15}+\cdots\)
9680.2.a.d 9680.a 1.a $1$ $77.295$ \(\Q\) None 220.2.a.b \(0\) \(-2\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-2q^{15}+4q^{17}+\cdots\)
9680.2.a.e 9680.a 1.a $1$ $77.295$ \(\Q\) None 4840.2.a.g \(0\) \(-1\) \(-1\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-3q^{7}-2q^{9}-4q^{13}+\cdots\)
9680.2.a.f 9680.a 1.a $1$ $77.295$ \(\Q\) None 2420.2.a.e \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-2q^{13}+q^{15}+\cdots\)
9680.2.a.g 9680.a 1.a $1$ $77.295$ \(\Q\) None 110.2.a.c \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-2q^{13}+q^{15}+\cdots\)
9680.2.a.h 9680.a 1.a $1$ $77.295$ \(\Q\) None 2420.2.a.e \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}-2q^{9}+2q^{13}+q^{15}+\cdots\)
9680.2.a.i 9680.a 1.a $1$ $77.295$ \(\Q\) None 4840.2.a.g \(0\) \(-1\) \(-1\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+3q^{7}-2q^{9}+4q^{13}+\cdots\)
9680.2.a.j 9680.a 1.a $1$ $77.295$ \(\Q\) None 110.2.a.a \(0\) \(-1\) \(-1\) \(5\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+5q^{7}-2q^{9}-2q^{13}+\cdots\)
9680.2.a.k 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.f \(0\) \(-1\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+4q^{13}-q^{15}+\cdots\)
9680.2.a.l 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.f \(0\) \(-1\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}-4q^{13}-q^{15}+\cdots\)
9680.2.a.m 9680.a 1.a $1$ $77.295$ \(\Q\) None 2420.2.a.c \(0\) \(0\) \(-1\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-3q^{9}+4q^{13}-4q^{17}+\cdots\)
9680.2.a.n 9680.a 1.a $1$ $77.295$ \(\Q\) None 440.2.a.a \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{9}-8q^{19}+8q^{23}+\cdots\)
9680.2.a.o 9680.a 1.a $1$ $77.295$ \(\Q\) None 440.2.a.b \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{9}+4q^{13}+4q^{17}+\cdots\)
9680.2.a.p 9680.a 1.a $1$ $77.295$ \(\Q\) None 2420.2.a.c \(0\) \(0\) \(-1\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-3q^{9}-4q^{13}+4q^{17}+\cdots\)
9680.2.a.q 9680.a 1.a $1$ $77.295$ \(\Q\) None 40.2.a.a \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-3q^{9}+2q^{13}-2q^{17}+\cdots\)
9680.2.a.r 9680.a 1.a $1$ $77.295$ \(\Q\) None 55.2.a.a \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
9680.2.a.s 9680.a 1.a $1$ $77.295$ \(\Q\) None 440.2.a.c \(0\) \(0\) \(1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-3q^{9}-6q^{13}+6q^{17}+\cdots\)
9680.2.a.t 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.c \(0\) \(1\) \(1\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}-2q^{9}+q^{15}-8q^{17}+\cdots\)
9680.2.a.u 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.d \(0\) \(1\) \(1\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}-2q^{9}+q^{15}+3q^{17}+\cdots\)
9680.2.a.v 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.d \(0\) \(1\) \(1\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}-2q^{9}+q^{15}-3q^{17}+\cdots\)
9680.2.a.w 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.c \(0\) \(1\) \(1\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}-2q^{9}+q^{15}+8q^{17}+\cdots\)
9680.2.a.x 9680.a 1.a $1$ $77.295$ \(\Q\) None 110.2.a.b \(0\) \(1\) \(1\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}-2q^{9}+6q^{13}+\cdots\)
9680.2.a.y 9680.a 1.a $1$ $77.295$ \(\Q\) None 4840.2.a.a \(0\) \(2\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots\)
9680.2.a.z 9680.a 1.a $1$ $77.295$ \(\Q\) None 4840.2.a.a \(0\) \(2\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+q^{9}+2q^{13}-2q^{15}+\cdots\)
9680.2.a.ba 9680.a 1.a $1$ $77.295$ \(\Q\) None 20.2.a.a \(0\) \(2\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}-2q^{13}+\cdots\)
9680.2.a.bb 9680.a 1.a $1$ $77.295$ \(\Q\) None 220.2.a.a \(0\) \(2\) \(1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{13}+\cdots\)
9680.2.a.bc 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.a \(0\) \(3\) \(-1\) \(-5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}-5q^{7}+6q^{9}-4q^{13}+\cdots\)
9680.2.a.bd 9680.a 1.a $1$ $77.295$ \(\Q\) None 1210.2.a.a \(0\) \(3\) \(-1\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+5q^{7}+6q^{9}+4q^{13}+\cdots\)
9680.2.a.be 9680.a 1.a $1$ $77.295$ \(\Q\) None 605.2.a.a \(0\) \(3\) \(1\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-3q^{7}+6q^{9}-4q^{13}+\cdots\)
9680.2.a.bf 9680.a 1.a $1$ $77.295$ \(\Q\) None 605.2.a.a \(0\) \(3\) \(1\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}+3q^{7}+6q^{9}+4q^{13}+\cdots\)
9680.2.a.bg 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 605.2.a.f \(0\) \(-4\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+\beta q^{7}+q^{9}-2q^{15}+\cdots\)
9680.2.a.bh 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{5}) \) None 110.2.g.a \(0\) \(-2\) \(-2\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2\beta q^{3}-q^{5}+(-1-\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
9680.2.a.bi 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{5}) \) None 110.2.g.a \(0\) \(-2\) \(-2\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2\beta q^{3}-q^{5}+(1+\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
9680.2.a.bj 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{2}) \) None 4840.2.a.o \(0\) \(-2\) \(2\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+(-1+\beta )q^{7}+\cdots\)
9680.2.a.bk 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{2}) \) None 4840.2.a.o \(0\) \(-2\) \(2\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+(1-\beta )q^{7}-2\beta q^{9}+\cdots\)
9680.2.a.bl 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{17}) \) None 440.2.a.f \(0\) \(-1\) \(-2\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(2-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
9680.2.a.bm 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{17}) \) None 440.2.a.g \(0\) \(-1\) \(-2\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
9680.2.a.bn 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{2}) \) None 55.2.a.b \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-2q^{7}+5q^{9}+(4-\beta )q^{13}+\cdots\)
9680.2.a.bo 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 1210.2.a.o \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(-1-2\beta )q^{7}+(-2+\cdots)q^{13}+\cdots\)
9680.2.a.bp 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 1210.2.a.o \(0\) \(0\) \(-2\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(1+2\beta )q^{7}+(2+2\beta )q^{13}+\cdots\)
9680.2.a.bq 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 4840.2.a.k \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(-2+\beta )q^{7}+2\beta q^{13}+\cdots\)
9680.2.a.br 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 4840.2.a.k \(0\) \(0\) \(2\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(2-\beta )q^{7}-2\beta q^{13}+\cdots\)
9680.2.a.bs 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{17}) \) None 440.2.a.e \(0\) \(1\) \(2\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}-\beta q^{7}+(1+\beta )q^{9}-2q^{13}+\cdots\)
9680.2.a.bt 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{33}) \) None 110.2.a.d \(0\) \(1\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+\beta q^{7}+(5+\beta )q^{9}-2q^{13}+\cdots\)
9680.2.a.bu 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 605.2.a.e \(0\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-\beta q^{7}-2q^{9}-2\beta q^{13}+\cdots\)
9680.2.a.bv 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{3}) \) None 2420.2.a.h \(0\) \(2\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-\beta q^{7}-2q^{9}+q^{15}+4\beta q^{19}+\cdots\)
9680.2.a.bw 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{5}) \) None 110.2.g.b \(0\) \(3\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+(-1+3\beta )q^{9}+(-4+\cdots)q^{13}+\cdots\)
9680.2.a.bx 9680.a 1.a $2$ $77.295$ \(\Q(\sqrt{5}) \) None 110.2.g.b \(0\) \(3\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+(-1+3\beta )q^{9}+(4+\cdots)q^{13}+\cdots\)
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