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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2205.1.e.a 2205.e 35.c $4$ $1.100$ 4.0.2048.2 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
2205.1.e.b 2205.e 35.c $4$ $1.100$ 4.0.2048.2 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
2205.1.f.a 2205.f 15.d $4$ $1.100$ \(\Q(\zeta_{8})\) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{11}+\cdots\)
2205.1.q.a 2205.q 315.q $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
2205.1.q.b 2205.q 315.q $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(0\) \(q-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
2205.1.v.a 2205.v 315.v $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(2\) \(0\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots\)
2205.1.v.b 2205.v 315.v $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-2\) \(0\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots\)
2205.1.y.a 2205.y 105.o $8$ $1.100$ \(\Q(\zeta_{24})\) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{4}q^{4}-\zeta_{24}^{2}q^{5}+(-\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{11}+\cdots\)
2205.1.ba.a 2205.ba 45.h $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-2\) \(1\) \(0\) \(q-q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2205.1.ba.b 2205.ba 45.h $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(2\) \(-1\) \(0\) \(q+q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2205.1.bi.a 2205.bi 35.i $8$ $1.100$ 8.0.339738624.1 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots\)
2205.1.bi.b 2205.bi 35.i $8$ $1.100$ 8.0.339738624.1 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(4\) \(0\) \(q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}-\beta _{4}q^{5}+\cdots\)
2205.1.bn.a 2205.bn 315.an $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(2\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots\)
2205.1.bn.b 2205.bn 315.an $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-2\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots\)
2205.1.br.a 2205.br 315.ar $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q-\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots\)
2205.1.br.b 2205.br 315.ar $2$ $1.100$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(0\) \(q+\zeta_{6}q^{3}-q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots\)
2205.1.bu.a 2205.bu 315.at $8$ $1.100$ \(\Q(\zeta_{24})\) None None \(8\) \(0\) \(0\) \(0\) \(q+(1-\zeta_{24}^{6})q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{4}+\cdots\)
2205.1.bz.a 2205.bz 45.k $8$ $1.100$ \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{2}+\zeta_{24}^{3}q^{3}+\cdots\)
2205.1.ci.a 2205.ci 315.bh $8$ $1.100$ \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{4}-\zeta_{24}^{10})q^{2}-\zeta_{24}q^{3}+\cdots\)
2205.2.a.a 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(-1\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+2q^{11}+\cdots\)
2205.2.a.b 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+6q^{13}+\cdots\)
2205.2.a.c 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+2q^{11}+\cdots\)
2205.2.a.d 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+q^{13}+4q^{16}+6q^{17}+\cdots\)
2205.2.a.e 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+3q^{11}-5q^{13}+4q^{16}+\cdots\)
2205.2.a.f 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}-q^{13}+4q^{16}-6q^{17}+\cdots\)
2205.2.a.g 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(1\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-2q^{11}+\cdots\)
2205.2.a.h 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}-2q^{11}+\cdots\)
2205.2.a.i 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(1\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+4q^{11}+\cdots\)
2205.2.a.j 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(2\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}-2q^{10}-q^{11}+\cdots\)
2205.2.a.k 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(2\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}-2q^{10}+6q^{11}+\cdots\)
2205.2.a.l 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(2\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}-q^{11}+\cdots\)
2205.2.a.m 2205.a 1.a $1$ $17.607$ \(\Q\) None None \(2\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}+6q^{11}+\cdots\)
2205.2.a.n 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.o 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.p 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.q 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.r 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.s 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2205.2.a.t 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(3-2\beta )q^{11}+\cdots\)
2205.2.a.u 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2205.2.a.v 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(3-2\beta )q^{11}+\cdots\)
2205.2.a.w 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{4}-q^{5}-\beta q^{8}+\beta q^{10}+\cdots\)
2205.2.a.x 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{17}) \) None None \(1\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(4+\beta )q^{8}+\cdots\)
2205.2.a.y 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{2}) \) None None \(2\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-q^{5}+(3+\beta )q^{8}+\cdots\)
2205.2.a.z 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{3}) \) None None \(2\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(6+2\beta )q^{8}+\cdots\)
2205.2.a.ba 2205.a 1.a $2$ $17.607$ \(\Q(\sqrt{3}) \) None None \(2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(6+2\beta )q^{8}+\cdots\)
2205.2.a.bb 2205.a 1.a $3$ $17.607$ 3.3.404.1 None None \(-2\) \(0\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.2.a.bc 2205.a 1.a $3$ $17.607$ 3.3.404.1 None None \(-2\) \(0\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.2.a.bd 2205.a 1.a $3$ $17.607$ 3.3.404.1 None None \(2\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
2205.2.a.be 2205.a 1.a $3$ $17.607$ 3.3.404.1 None None \(2\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
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