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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 5 23
9200.2.a.a 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-3\) \(0\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-4q^{7}+6q^{9}-3q^{11}-6q^{13}+\cdots\)
9200.2.a.b 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-3\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-4q^{7}+6q^{9}-2q^{11}+5q^{13}+\cdots\)
9200.2.a.c 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-3\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{7}+6q^{9}-q^{13}+6q^{21}+\cdots\)
9200.2.a.d 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-3q^{7}+q^{9}+6q^{13}+7q^{17}+\cdots\)
9200.2.a.e 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{7}+q^{9}-5q^{11}+7q^{13}+\cdots\)
9200.2.a.f 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
9200.2.a.g 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{7}+q^{9}+2q^{13}-5q^{17}+\cdots\)
9200.2.a.h 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots\)
9200.2.a.i 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
9200.2.a.j 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-2\) \(0\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+3q^{7}+q^{9}-5q^{11}-5q^{13}+\cdots\)
9200.2.a.k 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
9200.2.a.l 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}-2q^{9}+2q^{11}-7q^{13}+\cdots\)
9200.2.a.m 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}-2q^{9}+4q^{11}-q^{13}+\cdots\)
9200.2.a.n 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{9}-2q^{11}+5q^{13}+4q^{17}+\cdots\)
9200.2.a.o 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}-2q^{9}+4q^{11}+5q^{13}+\cdots\)
9200.2.a.p 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}-3q^{9}-2q^{11}+2q^{13}+2q^{17}+\cdots\)
9200.2.a.q 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-3q^{9}-6q^{11}-6q^{13}-7q^{17}+\cdots\)
9200.2.a.r 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-3q^{9}+q^{11}+q^{13}+5q^{19}+\cdots\)
9200.2.a.s 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-3q^{9}+3q^{11}+3q^{13}+8q^{17}+\cdots\)
9200.2.a.t 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}-2q^{11}+2q^{13}-3q^{17}+\cdots\)
9200.2.a.u 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}+q^{11}-q^{13}+5q^{19}+\cdots\)
9200.2.a.v 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}+3q^{11}-3q^{13}-8q^{17}+\cdots\)
9200.2.a.w 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}+6q^{11}+2q^{13}+3q^{17}+\cdots\)
9200.2.a.x 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{7}-3q^{9}-6q^{11}+2q^{13}-6q^{17}+\cdots\)
9200.2.a.y 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}-2q^{9}+6q^{11}+q^{13}+\cdots\)
9200.2.a.z 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}-2q^{9}-q^{13}+4q^{17}+\cdots\)
9200.2.a.ba 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(1\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}-2q^{9}+q^{13}+6q^{17}+\cdots\)
9200.2.a.bb 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(1\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
9200.2.a.bc 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-3q^{7}+q^{9}-5q^{11}+5q^{13}+\cdots\)
9200.2.a.bd 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
9200.2.a.be 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}-5q^{11}-7q^{13}+\cdots\)
9200.2.a.bf 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
9200.2.a.bg 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}-2q^{13}+5q^{17}+\cdots\)
9200.2.a.bh 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}+3q^{11}+5q^{13}+\cdots\)
9200.2.a.bi 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(2\) \(0\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{7}+q^{9}-6q^{13}-7q^{17}+\cdots\)
9200.2.a.bj 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(3\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-2q^{7}+6q^{9}+5q^{13}+6q^{17}+\cdots\)
9200.2.a.bk 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(3\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+2q^{7}+6q^{9}+3q^{13}-4q^{17}+\cdots\)
9200.2.a.bl 9200.a 1.a $1$ $73.462$ \(\Q\) None \(0\) \(3\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+4q^{7}+6q^{9}-3q^{11}+6q^{13}+\cdots\)
9200.2.a.bm 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta )q^{7}-2q^{9}+(1+\beta )q^{11}+\cdots\)
9200.2.a.bn 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(2+\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)
9200.2.a.bo 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(0\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-3+3\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
9200.2.a.bp 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1+\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
9200.2.a.bq 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1+\beta )q^{7}+(1+\beta )q^{9}+2q^{11}+\cdots\)
9200.2.a.br 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1+\beta )q^{9}-2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9200.2.a.bs 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{21}) \) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{7}+(2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
9200.2.a.bt 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1+\beta )q^{7}+2q^{9}+(3+\beta )q^{11}+\cdots\)
9200.2.a.bu 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
9200.2.a.bv 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}-2q^{11}+\cdots\)
9200.2.a.bw 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
9200.2.a.bx 9200.a 1.a $2$ $73.462$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
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