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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3264.1.b.a 3264.b 408.b $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-51}) \) \(\Q(\sqrt{102}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}-iq^{11}-q^{17}-iq^{19}+\cdots\)
3264.1.b.b 3264.b 408.b $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-51}) \) \(\Q(\sqrt{102}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}-iq^{11}+q^{17}+iq^{19}+\cdots\)
3264.1.b.c 3264.b 408.b $4$ $1.629$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-51}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}+(\zeta_{12}^{2}+\zeta_{12}^{4})q^{5}-q^{9}+\cdots\)
3264.1.b.d 3264.b 408.b $4$ $1.629$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-51}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{5}+\cdots\)
3264.1.m.a 3264.m 51.c $1$ $1.629$ \(\Q\) \(\Q(\sqrt{-51}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q-q^{3}-q^{5}+q^{9}+q^{11}+q^{13}+q^{15}+\cdots\)
3264.1.m.b 3264.m 51.c $1$ $1.629$ \(\Q\) \(\Q(\sqrt{-51}) \) None \(0\) \(-1\) \(1\) \(0\) \(q-q^{3}+q^{5}+q^{9}+q^{11}+q^{13}-q^{15}+\cdots\)
3264.1.m.c 3264.m 51.c $1$ $1.629$ \(\Q\) \(\Q(\sqrt{-51}) \) None \(0\) \(1\) \(-1\) \(0\) \(q+q^{3}-q^{5}+q^{9}-q^{11}+q^{13}-q^{15}+\cdots\)
3264.1.m.d 3264.m 51.c $1$ $1.629$ \(\Q\) \(\Q(\sqrt{-51}) \) None \(0\) \(1\) \(1\) \(0\) \(q+q^{3}+q^{5}+q^{9}-q^{11}+q^{13}+q^{15}+\cdots\)
3264.1.m.e 3264.m 51.c $8$ $1.629$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{3}+(-\zeta_{16}-\zeta_{16}^{7})q^{7}+\zeta_{16}^{6}q^{9}+\cdots\)
3264.1.bb.a 3264.bb 408.t $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+q^{9}+(1+i)q^{11}+iq^{17}-q^{19}+\cdots\)
3264.1.bb.b 3264.bb 408.t $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{9}+(-1-i)q^{11}-iq^{17}+\cdots\)
3264.1.bb.c 3264.bb 408.t $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}+(1+i)q^{11}-iq^{17}+\cdots\)
3264.1.bb.d 3264.bb 408.t $2$ $1.629$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+q^{9}+(-1-i)q^{11}+iq^{17}+\cdots\)
3264.1.bc.a 3264.bc 51.f $4$ $1.629$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(-1+\zeta_{8}^{2})q^{7}+\cdots\)
3264.1.bc.b 3264.bc 51.f $4$ $1.629$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1-\zeta_{8}^{2})q^{7}+\cdots\)
3264.1.cw.a 3264.cw 408.ae $4$ $1.629$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-q^{3}+q^{9}+(-\zeta_{8}+\zeta_{8}^{2})q^{11}+\zeta_{8}^{3}q^{17}+\cdots\)
3264.1.cw.b 3264.cw 408.ae $4$ $1.629$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+(\zeta_{8}-\zeta_{8}^{2})q^{11}+\cdots\)
3264.1.cw.c 3264.cw 408.ae $4$ $1.629$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+(-\zeta_{8}+\zeta_{8}^{2})q^{11}+\cdots\)
3264.1.cw.d 3264.cw 408.ae $4$ $1.629$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}+q^{9}+(\zeta_{8}-\zeta_{8}^{2})q^{11}+\zeta_{8}^{3}q^{17}+\cdots\)
3264.2.a.a 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-3\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}-4q^{7}+q^{9}+3q^{11}+\cdots\)
3264.2.a.b 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+q^{9}-q^{11}-3q^{13}+\cdots\)
3264.2.a.c 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
3264.2.a.d 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3264.2.a.e 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
3264.2.a.f 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-5q^{11}+5q^{13}+\cdots\)
3264.2.a.g 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}+6q^{13}-q^{17}+\cdots\)
3264.2.a.h 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-2q^{13}-q^{17}+\cdots\)
3264.2.a.i 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-2q^{13}-q^{17}+\cdots\)
3264.2.a.j 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}+3q^{11}-3q^{13}+\cdots\)
3264.2.a.k 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
3264.2.a.l 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}+5q^{11}+5q^{13}+\cdots\)
3264.2.a.m 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3264.2.a.n 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(3\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-4q^{7}+q^{9}-q^{11}+5q^{13}+\cdots\)
3264.2.a.o 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{7}+q^{9}-3q^{11}+\cdots\)
3264.2.a.p 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(-1\) \(4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}+2q^{7}+q^{9}+6q^{13}+\cdots\)
3264.2.a.q 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{9}+q^{11}-3q^{13}+\cdots\)
3264.2.a.r 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-3\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+4q^{7}+q^{9}-3q^{11}+\cdots\)
3264.2.a.s 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3264.2.a.t 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
3264.2.a.u 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+5q^{11}+5q^{13}+\cdots\)
3264.2.a.v 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
3264.2.a.w 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}-2q^{13}-q^{17}+\cdots\)
3264.2.a.x 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}-2q^{13}-q^{17}+\cdots\)
3264.2.a.y 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}+q^{9}+6q^{13}-q^{17}+\cdots\)
3264.2.a.z 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}-5q^{11}+5q^{13}+\cdots\)
3264.2.a.ba 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3264.2.a.bb 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}-3q^{11}-3q^{13}+\cdots\)
3264.2.a.bc 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3264.2.a.bd 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+2q^{7}+q^{9}+3q^{11}+\cdots\)
3264.2.a.be 3264.a 1.a $1$ $26.063$ \(\Q\) None None \(0\) \(1\) \(3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+4q^{7}+q^{9}+q^{11}+5q^{13}+\cdots\)
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