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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
8100.2.a.a 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-6q^{11}-5q^{13}+3q^{17}+2q^{19}+\cdots\)
8100.2.a.b 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-3q^{11}+4q^{13}+6q^{17}-7q^{19}+\cdots\)
8100.2.a.c 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots\)
8100.2.a.d 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{7}+q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots\)
8100.2.a.e 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+3q^{11}+4q^{13}-6q^{17}-7q^{19}+\cdots\)
8100.2.a.f 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+6q^{11}-5q^{13}-3q^{17}+2q^{19}+\cdots\)
8100.2.a.g 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots\)
8100.2.a.h 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{13}-6q^{17}+2q^{19}-3q^{23}+\cdots\)
8100.2.a.i 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{13}+6q^{17}+2q^{19}+3q^{23}+\cdots\)
8100.2.a.j 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{7}+3q^{11}+q^{13}-6q^{17}-4q^{19}+\cdots\)
8100.2.a.k 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots\)
8100.2.a.l 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots\)
8100.2.a.m 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+4q^{7}-3q^{11}+4q^{13}+5q^{19}-6q^{23}+\cdots\)
8100.2.a.n 8100.a 1.a $1$ $64.679$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+4q^{7}+3q^{11}+4q^{13}+5q^{19}+6q^{23}+\cdots\)
8100.2.a.o 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{7}+(-2-\beta )q^{11}+(3+\beta )q^{13}+\cdots\)
8100.2.a.p 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{7}+(2+\beta )q^{11}+(3+\beta )q^{13}+\cdots\)
8100.2.a.q 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{7}+(-2-\beta )q^{11}+(-3-\beta )q^{13}+\cdots\)
8100.2.a.r 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{7}+(2+\beta )q^{11}+(-3-\beta )q^{13}+\cdots\)
8100.2.a.s 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{7}-\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.t 8100.a 1.a $2$ $64.679$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{7}+\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.u 8100.a 1.a $3$ $64.679$ 3.3.564.1 None \(0\) \(0\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{7}+\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots\)
8100.2.a.v 8100.a 1.a $3$ $64.679$ 3.3.564.1 None \(0\) \(0\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{7}-\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots\)
8100.2.a.w 8100.a 1.a $4$ $64.679$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
8100.2.a.x 8100.a 1.a $4$ $64.679$ 4.4.3981.1 None \(0\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{7}+(-1-\beta _{2})q^{11}-\beta _{1}q^{13}+\cdots\)
8100.2.a.y 8100.a 1.a $4$ $64.679$ 4.4.3981.1 None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{7}+(1+\beta _{2})q^{11}-\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots\)
8100.2.a.z 8100.a 1.a $4$ $64.679$ 4.4.3981.1 None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{7}+(-1-\beta _{2})q^{11}+\beta _{1}q^{13}+\cdots\)
8100.2.a.ba 8100.a 1.a $4$ $64.679$ 4.4.3981.1 None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{7}+(1+\beta _{2})q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots\)
8100.2.a.bb 8100.a 1.a $4$ $64.679$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{7}+\beta _{3}q^{11}-\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
8100.2.a.bc 8100.a 1.a $6$ $64.679$ 6.6.1207701504.1 None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{7}+\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots\)
8100.2.a.bd 8100.a 1.a $6$ $64.679$ 6.6.1207701504.1 None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{7}-\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots\)
8100.2.a.be 8100.a 1.a $8$ $64.679$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{7}+(-\beta _{2}+\beta _{7})q^{11}-\beta _{6}q^{13}+\cdots\)
8100.2.d.a 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{7}-6q^{11}-5iq^{13}-3iq^{17}+\cdots\)
8100.2.d.b 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{7}-3q^{11}-2iq^{13}-5q^{19}+\cdots\)
8100.2.d.c 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}-3q^{11}-iq^{13}+6iq^{17}+\cdots\)
8100.2.d.d 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}-3q^{11}+2iq^{13}-3iq^{17}+\cdots\)
8100.2.d.e 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}-4iq^{13}+6iq^{17}-2q^{19}+\cdots\)
8100.2.d.f 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}-4iq^{13}-6iq^{17}-2q^{19}+\cdots\)
8100.2.d.g 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{7}+3q^{11}-2iq^{13}-5q^{19}+\cdots\)
8100.2.d.h 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}+3q^{11}-iq^{13}-6iq^{17}+\cdots\)
8100.2.d.i 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}+3q^{11}+2iq^{13}+3iq^{17}+\cdots\)
8100.2.d.j 8100.d 5.b $2$ $64.679$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{7}+6q^{11}-5iq^{13}+3iq^{17}+\cdots\)
8100.2.d.k 8100.d 5.b $4$ $64.679$ \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{7}+(-2+\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
8100.2.d.l 8100.d 5.b $4$ $64.679$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots\)
8100.2.d.m 8100.d 5.b $4$ $64.679$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots\)
8100.2.d.n 8100.d 5.b $4$ $64.679$ \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{7}+(2-\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
8100.2.d.o 8100.d 5.b $6$ $64.679$ 6.0.5089536.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{3}+\beta _{4})q^{7}+\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots\)
8100.2.d.p 8100.d 5.b $6$ $64.679$ 6.0.5089536.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{3}+\beta _{4})q^{7}-\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots\)
8100.2.d.q 8100.d 5.b $8$ $64.679$ 8.0.4057180416.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{6}q^{7}+(-1-\beta _{1})q^{11}-\beta _{2}q^{13}+\cdots\)
8100.2.d.r 8100.d 5.b $8$ $64.679$ 8.0.49787136.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{7}-\beta _{5}q^{11}-\beta _{1}q^{13}+\beta _{6}q^{17}+\cdots\)
8100.2.d.s 8100.d 5.b $8$ $64.679$ 8.0.4057180416.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{6}q^{7}+(1+\beta _{1})q^{11}-\beta _{2}q^{13}+(2\beta _{3}+\cdots)q^{17}+\cdots\)
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