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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 17
9792.2.a.a 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{7}+6q^{13}+q^{17}-4q^{19}+\cdots\)
9792.2.a.b 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}+6q^{13}+q^{17}+4q^{19}+\cdots\)
9792.2.a.c 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-4q^{7}+q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.d 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-2q^{7}+3q^{11}-3q^{13}+q^{17}+\cdots\)
9792.2.a.e 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-2q^{7}+3q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.f 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+2q^{7}-3q^{11}-3q^{13}+q^{17}+\cdots\)
9792.2.a.g 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+2q^{7}-3q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.h 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-3\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+4q^{7}-q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.i 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}+2q^{13}-q^{17}-4q^{19}+\cdots\)
9792.2.a.j 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}-6q^{11}-2q^{13}-q^{17}+\cdots\)
9792.2.a.k 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{11}+2q^{13}-q^{17}-4q^{19}+\cdots\)
9792.2.a.l 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{11}+2q^{13}-q^{17}+4q^{19}+\cdots\)
9792.2.a.m 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}+6q^{11}-2q^{13}-q^{17}+\cdots\)
9792.2.a.n 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}+2q^{13}-q^{17}+4q^{19}+\cdots\)
9792.2.a.o 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-3q^{11}-3q^{13}+q^{17}+\cdots\)
9792.2.a.p 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{11}+5q^{13}+q^{17}+\cdots\)
9792.2.a.q 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.r 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+3q^{11}+q^{13}+q^{17}+\cdots\)
9792.2.a.s 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+5q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.t 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-5q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.u 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{11}+q^{13}+q^{17}+\cdots\)
9792.2.a.v 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.w 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+3q^{11}+5q^{13}+q^{17}+\cdots\)
9792.2.a.x 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+3q^{11}-3q^{13}+q^{17}+\cdots\)
9792.2.a.y 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}+6q^{11}-2q^{13}+q^{17}+4q^{19}+\cdots\)
9792.2.a.z 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-4q^{11}-2q^{13}+q^{17}+4q^{19}+\cdots\)
9792.2.a.ba 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-2q^{13}+q^{17}-4q^{19}-6q^{23}+\cdots\)
9792.2.a.bb 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-2q^{13}+q^{17}+4q^{19}+2q^{23}+\cdots\)
9792.2.a.bc 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+6q^{13}+q^{17}-4q^{19}+6q^{23}+\cdots\)
9792.2.a.bd 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{11}+6q^{13}+q^{17}+4q^{19}+4q^{23}+\cdots\)
9792.2.a.be 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{11}+6q^{13}+q^{17}-4q^{19}-4q^{23}+\cdots\)
9792.2.a.bf 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}-2q^{13}+q^{17}-4q^{19}-2q^{23}+\cdots\)
9792.2.a.bg 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}-2q^{13}+q^{17}+4q^{19}+6q^{23}+\cdots\)
9792.2.a.bh 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+6q^{13}+q^{17}+4q^{19}-6q^{23}+\cdots\)
9792.2.a.bi 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+4q^{11}-2q^{13}+q^{17}-4q^{19}+\cdots\)
9792.2.a.bj 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{7}-6q^{11}-2q^{13}+q^{17}-4q^{19}+\cdots\)
9792.2.a.bk 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-5q^{11}+q^{13}+q^{17}+\cdots\)
9792.2.a.bl 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-3q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.bm 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+3q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.bn 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}+5q^{13}-q^{17}+q^{19}+\cdots\)
9792.2.a.bo 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+5q^{11}+5q^{13}-q^{17}-q^{19}+\cdots\)
9792.2.a.bp 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.bq 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+3q^{11}+q^{13}-q^{17}+\cdots\)
9792.2.a.br 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+5q^{11}+q^{13}+q^{17}+\cdots\)
9792.2.a.bs 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}+4q^{11}-6q^{13}-q^{17}+\cdots\)
9792.2.a.bt 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}+2q^{11}-2q^{13}-q^{17}+\cdots\)
9792.2.a.bu 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{11}+2q^{13}-q^{17}+8q^{23}+\cdots\)
9792.2.a.bv 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{11}+2q^{13}-q^{17}-8q^{23}+\cdots\)
9792.2.a.bw 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}-2q^{11}-2q^{13}-q^{17}+\cdots\)
9792.2.a.bx 9792.a 1.a $1$ $78.190$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}-4q^{11}-6q^{13}-q^{17}+\cdots\)
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