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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 7 11
9702.2.a.a 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{5}-q^{8}+4q^{10}-q^{11}+\cdots\)
9702.2.a.b 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-4\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{5}-q^{8}+4q^{10}+q^{11}+\cdots\)
9702.2.a.c 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+q^{11}+\cdots\)
9702.2.a.d 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-q^{11}+\cdots\)
9702.2.a.e 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-q^{11}+\cdots\)
9702.2.a.f 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-q^{11}+\cdots\)
9702.2.a.g 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-q^{11}+\cdots\)
9702.2.a.h 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-q^{11}+\cdots\)
9702.2.a.i 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
9702.2.a.j 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
9702.2.a.k 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+q^{11}+\cdots\)
9702.2.a.l 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}-5q^{13}+q^{16}+\cdots\)
9702.2.a.m 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}-2q^{13}+q^{16}+\cdots\)
9702.2.a.n 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}-2q^{13}+q^{16}+\cdots\)
9702.2.a.o 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}+5q^{13}+q^{16}+\cdots\)
9702.2.a.p 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{11}+\cdots\)
9702.2.a.q 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.r 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.s 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.t 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.u 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.v 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.w 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.x 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.y 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.z 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+q^{11}+\cdots\)
9702.2.a.ba 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}+q^{11}+\cdots\)
9702.2.a.bb 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}+q^{11}+\cdots\)
9702.2.a.bc 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-q^{11}+\cdots\)
9702.2.a.bd 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+q^{11}+\cdots\)
9702.2.a.be 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+q^{11}+\cdots\)
9702.2.a.bf 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.bg 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-q^{11}+\cdots\)
9702.2.a.bh 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.bi 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.bj 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-q^{11}+\cdots\)
9702.2.a.bk 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{11}-4q^{13}+q^{16}+\cdots\)
9702.2.a.bl 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{11}-4q^{13}+q^{16}+\cdots\)
9702.2.a.bm 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{11}-2q^{13}+q^{16}+\cdots\)
9702.2.a.bn 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{11}+4q^{13}+q^{16}+\cdots\)
9702.2.a.bo 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{11}+4q^{13}+q^{16}+\cdots\)
9702.2.a.bp 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}-6q^{13}+q^{16}+\cdots\)
9702.2.a.bq 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}-4q^{13}+q^{16}+\cdots\)
9702.2.a.br 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}-q^{13}+q^{16}+\cdots\)
9702.2.a.bs 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}+q^{13}+q^{16}+\cdots\)
9702.2.a.bt 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}+2q^{13}+q^{16}+\cdots\)
9702.2.a.bu 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}+4q^{13}+q^{16}+\cdots\)
9702.2.a.bv 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+q^{11}+4q^{13}+q^{16}+\cdots\)
9702.2.a.bw 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-q^{11}+\cdots\)
9702.2.a.bx 9702.a 1.a $1$ $77.471$ \(\Q\) None \(1\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-q^{11}+\cdots\)
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