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Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2704.1.c.a 2704.c 52.b $2$ $1.349$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None 208.1.y.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{5}+q^{9}+q^{17}+(-1+\cdots)q^{25}+\cdots\)
2704.1.d.a 2704.d 4.b $1$ $1.349$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) \(\Q(\sqrt{13}) \) 208.1.c.a \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+2q^{17}-q^{25}-2q^{29}+q^{49}+\cdots\)
2704.1.d.b 2704.d 4.b $2$ $1.349$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) None 208.1.y.a \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{5}+q^{9}-q^{17}+2q^{25}+q^{29}+\cdots\)
2704.1.y.a 2704.y 52.i $2$ $1.349$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None 208.1.y.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{17}+\cdots\)
2704.1.y.b 2704.y 52.i $2$ $1.349$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) \(\Q(\sqrt{13}) \) 208.1.c.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{17}+q^{25}+\zeta_{6}q^{29}+\cdots\)
2704.1.bb.a 2704.bb 52.j $2$ $1.349$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) \(\Q(\sqrt{13}) \) 208.1.c.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{9}-\zeta_{6}q^{17}-q^{25}-\zeta_{6}^{2}q^{29}+\cdots\)
2704.1.bb.b 2704.bb 52.j $4$ $1.349$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None 208.1.y.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{12}-\zeta_{12}^{5})q^{5}+\zeta_{12}^{4}q^{9}-\zeta_{12}^{4}q^{17}+\cdots\)
2704.1.bu.a 2704.bu 676.p $12$ $1.349$ \(\Q(\zeta_{26})\) \(\Q(\sqrt{-1}) \) None 2704.1.bu.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{26}^{4}+\zeta_{26}^{5})q^{5}-\zeta_{26}^{7}q^{9}+\zeta_{26}^{5}q^{13}+\cdots\)
2704.1.cm.a 2704.cm 676.u $24$ $1.349$ \(\Q(\zeta_{39})\) \(\Q(\sqrt{-1}) \) None 2704.1.cm.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}^{29}-\zeta_{78}^{31})q^{5}+\zeta_{78}^{38}q^{9}+\cdots\)
2704.2.a.a 2704.a 1.a $1$ $21.592$ \(\Q\) None None 52.2.e.a \(0\) \(-3\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{5}+q^{7}+6q^{9}-5q^{11}+\cdots\)
2704.2.a.b 2704.a 1.a $1$ $21.592$ \(\Q\) None None 52.2.e.a \(0\) \(-3\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+2q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots\)
2704.2.a.c 2704.a 1.a $1$ $21.592$ \(\Q\) None None 104.2.i.a \(0\) \(-1\) \(-2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-q^{7}-2q^{9}+q^{11}+2q^{15}+\cdots\)
2704.2.a.d 2704.a 1.a $1$ $21.592$ \(\Q\) None None 104.2.a.a \(0\) \(-1\) \(1\) \(5\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+5q^{7}-2q^{9}-2q^{11}+\cdots\)
2704.2.a.e 2704.a 1.a $1$ $21.592$ \(\Q\) None None 104.2.i.a \(0\) \(-1\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{7}-2q^{9}-q^{11}-2q^{15}+\cdots\)
2704.2.a.f 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.a.a \(0\) \(-1\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-q^{7}-2q^{9}+6q^{11}+\cdots\)
2704.2.a.g 2704.a 1.a $1$ $21.592$ \(\Q\) None None 52.2.a.a \(0\) \(0\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}-3q^{9}-2q^{11}+6q^{17}+\cdots\)
2704.2.a.h 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.c.a \(0\) \(0\) \(-1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-3q^{9}-4q^{11}+3q^{17}+\cdots\)
2704.2.a.i 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.c.a \(0\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-3q^{9}+4q^{11}+3q^{17}+\cdots\)
2704.2.a.j 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.b.a \(0\) \(1\) \(-3\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+3q^{7}-2q^{9}-3q^{15}+\cdots\)
2704.2.a.k 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.b.a \(0\) \(1\) \(3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-3q^{7}-2q^{9}+3q^{15}+\cdots\)
2704.2.a.l 2704.a 1.a $1$ $21.592$ \(\Q\) None None 52.2.e.b \(0\) \(2\) \(-3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-3q^{5}+4q^{7}+q^{9}-6q^{15}+\cdots\)
2704.2.a.m 2704.a 1.a $1$ $21.592$ \(\Q\) None None 52.2.e.b \(0\) \(2\) \(3\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{5}-4q^{7}+q^{9}+6q^{15}+\cdots\)
2704.2.a.n 2704.a 1.a $1$ $21.592$ \(\Q\) None None 26.2.a.b \(0\) \(3\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}+q^{7}+6q^{9}-2q^{11}+\cdots\)
2704.2.a.o 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{3}) \) None None 13.2.e.a \(0\) \(-4\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-\beta q^{5}+q^{9}+2\beta q^{15}+3q^{17}+\cdots\)
2704.2.a.p 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{17}) \) None None 104.2.a.b \(0\) \(-1\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-2+\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots\)
2704.2.a.q 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{17}) \) None None 104.2.i.b \(0\) \(-1\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1-\beta )q^{5}+\beta q^{7}+(1+\beta )q^{9}+\cdots\)
2704.2.a.r 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{17}) \) None None 104.2.i.b \(0\) \(-1\) \(3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1+\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots\)
2704.2.a.s 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{17}) \) None None 104.2.f.a \(0\) \(1\) \(-1\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-\beta q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
2704.2.a.t 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{17}) \) None None 104.2.f.a \(0\) \(1\) \(1\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+\beta q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
2704.2.a.u 2704.a 1.a $2$ $21.592$ \(\Q(\sqrt{3}) \) None None 52.2.h.a \(0\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{7}-2q^{9}+3\beta q^{11}-3q^{17}+\cdots\)
2704.2.a.v 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 338.2.a.g \(0\) \(-3\) \(-2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{2})q^{3}-2\beta _{1}q^{5}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
2704.2.a.w 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 338.2.a.g \(0\) \(-3\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{2})q^{3}+2\beta _{1}q^{5}+(2\beta _{1}+\cdots)q^{7}+\cdots\)
2704.2.a.x 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 676.2.a.g \(0\) \(0\) \(-8\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+(1-2\beta _{1}+\beta _{2})q^{3}+(-3-\beta _{2})q^{5}+\cdots\)
2704.2.a.y 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 676.2.a.g \(0\) \(0\) \(8\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+(1-2\beta _{1}+\beta _{2})q^{3}+(3+\beta _{2})q^{5}+(2+\cdots)q^{7}+\cdots\)
2704.2.a.z 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 169.2.a.b \(0\) \(2\) \(-4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1-\beta _{1})q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
2704.2.a.ba 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 169.2.a.b \(0\) \(2\) \(4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
2704.2.a.bb 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 1352.2.a.i \(0\) \(4\) \(-4\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{3}+(-1-\beta _{1})q^{5}+\beta _{1}q^{7}+\cdots\)
2704.2.a.bc 2704.a 1.a $3$ $21.592$ \(\Q(\zeta_{14})^+\) None None 1352.2.a.i \(0\) \(4\) \(4\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{3}+(1+\beta _{1})q^{5}-\beta _{1}q^{7}+\cdots\)
2704.2.a.bd 2704.a 1.a $4$ $21.592$ 4.4.13968.1 None None 104.2.o.a \(0\) \(2\) \(-4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots\)
2704.2.a.be 2704.a 1.a $4$ $21.592$ 4.4.13968.1 None None 104.2.o.a \(0\) \(2\) \(4\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
2704.2.a.bf 2704.a 1.a $6$ $21.592$ 6.6.3728753.1 None None 1352.2.a.m \(0\) \(-3\) \(-2\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2}-\beta _{5})q^{3}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
2704.2.a.bg 2704.a 1.a $6$ $21.592$ 6.6.3728753.1 None None 1352.2.a.m \(0\) \(-3\) \(2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2}-\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
2704.2.f.a 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 52.2.e.a \(0\) \(-6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-3q^{3}+2iq^{5}+iq^{7}+6q^{9}-5iq^{11}+\cdots\)
2704.2.f.b 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-3}) \) None None 13.2.e.a \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-2q^{3}-\zeta_{6}q^{5}+q^{9}+2\zeta_{6}q^{15}-3q^{17}+\cdots\)
2704.2.f.c 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 104.2.i.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+2iq^{5}-iq^{7}-2q^{9}+iq^{11}+\cdots\)
2704.2.f.d 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 26.2.a.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-3iq^{5}-iq^{7}-2q^{9}+6iq^{11}+\cdots\)
2704.2.f.e 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 104.2.a.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-iq^{5}+5iq^{7}-2q^{9}-2iq^{11}+\cdots\)
2704.2.f.f 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 52.2.a.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{5}+iq^{7}-3q^{9}+iq^{11}-6q^{17}+\cdots\)
2704.2.f.g 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-1}) \) None None 26.2.c.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{5}-4iq^{7}-3q^{9}-4iq^{11}-3q^{17}+\cdots\)
2704.2.f.h 2704.f 13.b $2$ $21.592$ \(\Q(\sqrt{-3}) \) None None 52.2.h.a \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}-\zeta_{6}q^{7}-2q^{9}+3\zeta_{6}q^{11}+3q^{17}+\cdots\)
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