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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 19
9025.2.a.a 9025.a 1.a $1$ $72.065$ \(\Q\) None \(-2\) \(0\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.b 9025.a 1.a $1$ $72.065$ \(\Q\) None \(-2\) \(0\) \(0\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.c 9025.a 1.a $1$ $72.065$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-2q^{7}+3q^{8}-3q^{9}-4q^{11}+\cdots\)
9025.2.a.d 9025.a 1.a $1$ $72.065$ \(\Q\) None \(0\) \(-2\) \(0\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{4}+q^{7}+q^{9}+3q^{11}+\cdots\)
9025.2.a.e 9025.a 1.a $1$ $72.065$ \(\Q\) None \(0\) \(-2\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{4}+4q^{7}+q^{9}+3q^{11}+\cdots\)
9025.2.a.f 9025.a 1.a $1$ $72.065$ \(\Q\) \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(0\) \(-3\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}-3q^{7}-3q^{9}-5q^{11}+4q^{16}+\cdots\)
9025.2.a.g 9025.a 1.a $1$ $72.065$ \(\Q\) None \(0\) \(2\) \(0\) \(4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{4}+4q^{7}+q^{9}+3q^{11}+\cdots\)
9025.2.a.h 9025.a 1.a $1$ $72.065$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+2q^{7}-3q^{8}-3q^{9}-4q^{11}+\cdots\)
9025.2.a.i 9025.a 1.a $1$ $72.065$ \(\Q\) None \(2\) \(0\) \(0\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.j 9025.a 1.a $1$ $72.065$ \(\Q\) None \(2\) \(0\) \(0\) \(4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.k 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(-3\) \(-3\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots\)
9025.2.a.l 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
9025.2.a.m 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
9025.2.a.n 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(-1\) \(-3\) \(0\) \(-6\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
9025.2.a.o 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(0\) \(-4\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-2\beta )q^{2}-2q^{3}+3q^{4}+(-2+4\beta )q^{6}+\cdots\)
9025.2.a.p 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{19}) \) \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}-\beta q^{7}-3q^{9}+5q^{11}+4q^{16}+\cdots\)
9025.2.a.q 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{4}+2q^{7}-\beta q^{8}-3q^{9}+\cdots\)
9025.2.a.r 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(0\) \(4\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-2\beta )q^{2}+2q^{3}+3q^{4}+(2-4\beta )q^{6}+\cdots\)
9025.2.a.s 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(1\) \(3\) \(0\) \(-6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
9025.2.a.t 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1-2\beta )q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
9025.2.a.u 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1-2\beta )q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
9025.2.a.v 9025.a 1.a $2$ $72.065$ \(\Q(\sqrt{5}) \) None \(3\) \(3\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+(2+\cdots)q^{6}+\cdots\)
9025.2.a.w 9025.a 1.a $3$ $72.065$ \(\Q(\zeta_{14})^+\) None \(-4\) \(-2\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
9025.2.a.x 9025.a 1.a $3$ $72.065$ \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
9025.2.a.y 9025.a 1.a $3$ $72.065$ 3.3.169.1 None \(-2\) \(-2\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(2+\cdots)q^{4}+\cdots\)
9025.2.a.z 9025.a 1.a $3$ $72.065$ 3.3.361.1 None \(-1\) \(-1\) \(0\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
9025.2.a.ba 9025.a 1.a $3$ $72.065$ 3.3.361.1 None \(1\) \(1\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
9025.2.a.bb 9025.a 1.a $3$ $72.065$ 3.3.148.1 None \(1\) \(2\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
9025.2.a.bc 9025.a 1.a $3$ $72.065$ 3.3.169.1 None \(2\) \(2\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1+\beta _{2})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
9025.2.a.bd 9025.a 1.a $3$ $72.065$ \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{2})q^{3}+(1-2\beta _{1}+\cdots)q^{4}+\cdots\)
9025.2.a.be 9025.a 1.a $3$ $72.065$ \(\Q(\zeta_{14})^+\) None \(4\) \(2\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
9025.2.a.bf 9025.a 1.a $4$ $72.065$ 4.4.11344.1 None \(-2\) \(2\) \(0\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-\beta _{3}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
9025.2.a.bg 9025.a 1.a $4$ $72.065$ 4.4.7537.1 None \(-1\) \(-3\) \(0\) \(4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
9025.2.a.bh 9025.a 1.a $4$ $72.065$ 4.4.2225.1 None \(-1\) \(-1\) \(0\) \(11\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{1}+\beta _{3})q^{4}+\cdots\)
9025.2.a.bi 9025.a 1.a $4$ $72.065$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(0\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{3})q^{3}-2q^{4}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
9025.2.a.bj 9025.a 1.a $4$ $72.065$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(0\) \(8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-3+\cdots)q^{6}+\cdots\)
9025.2.a.bk 9025.a 1.a $4$ $72.065$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(0\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bl 9025.a 1.a $4$ $72.065$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(0\) \(8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(3+\beta _{2}+\cdots)q^{6}+\cdots\)
9025.2.a.bm 9025.a 1.a $4$ $72.065$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(0\) \(8\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bn 9025.a 1.a $4$ $72.065$ 4.4.7168.1 None \(0\) \(0\) \(0\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
9025.2.a.bo 9025.a 1.a $4$ $72.065$ 4.4.2225.1 None \(1\) \(1\) \(0\) \(11\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
9025.2.a.bp 9025.a 1.a $4$ $72.065$ 4.4.7537.1 None \(1\) \(3\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
9025.2.a.bq 9025.a 1.a $6$ $72.065$ 6.6.5822000.1 None \(-2\) \(-4\) \(0\) \(-7\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}-\beta _{3})q^{2}+(-1-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
9025.2.a.br 9025.a 1.a $6$ $72.065$ 6.6.41289040.1 None \(-2\) \(-3\) \(0\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{2}+(-1+\beta _{1}+\beta _{3})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots\)
9025.2.a.bs 9025.a 1.a $6$ $72.065$ 6.6.41289040.1 None \(-2\) \(-3\) \(0\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{2}-\beta _{1}q^{3}+(-\beta _{3}+\beta _{4})q^{4}+\cdots\)
9025.2.a.bt 9025.a 1.a $6$ $72.065$ 6.6.4227136.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{1}-\beta _{4}+\beta _{5})q^{3}+\cdots\)
9025.2.a.bu 9025.a 1.a $6$ $72.065$ 6.6.4227136.1 None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{1}-\beta _{4}+\beta _{5})q^{3}+\cdots\)
9025.2.a.bv 9025.a 1.a $6$ $72.065$ 6.6.71593280.1 None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bw 9025.a 1.a $6$ $72.065$ 6.6.71593280.1 None \(0\) \(0\) \(0\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bx 9025.a 1.a $6$ $72.065$ 6.6.66064384.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1-\beta _{3}+\cdots)q^{4}+\cdots\)
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