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Results (34 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
6468.2.a.a 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+q^{9}-q^{11}+q^{13}+3q^{15}+\cdots\)
6468.2.a.b 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+q^{11}+2q^{13}+\cdots\)
6468.2.a.c 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+q^{11}+2q^{13}+\cdots\)
6468.2.a.d 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+q^{11}+7q^{13}+q^{15}+\cdots\)
6468.2.a.e 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-q^{11}-3q^{13}+2q^{17}+\cdots\)
6468.2.a.f 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+q^{11}-q^{13}-q^{15}+\cdots\)
6468.2.a.g 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+q^{11}+2q^{13}+\cdots\)
6468.2.a.h 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}-q^{11}-3q^{13}+\cdots\)
6468.2.a.i 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}+q^{11}-q^{13}-3q^{15}+\cdots\)
6468.2.a.j 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}+q^{11}+7q^{13}+\cdots\)
6468.2.a.k 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{9}+q^{11}+q^{13}-3q^{15}+\cdots\)
6468.2.a.l 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-q^{11}-6q^{13}+\cdots\)
6468.2.a.m 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}+q^{11}-2q^{13}+\cdots\)
6468.2.a.n 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+q^{11}+q^{13}-q^{15}+\cdots\)
6468.2.a.o 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-q^{11}+3q^{13}-2q^{17}+\cdots\)
6468.2.a.p 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-q^{11}+3q^{13}+q^{15}+\cdots\)
6468.2.a.q 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+q^{11}-7q^{13}+q^{15}+\cdots\)
6468.2.a.r 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+q^{11}+q^{13}+q^{15}+\cdots\)
6468.2.a.s 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+q^{11}-2q^{13}+\cdots\)
6468.2.a.t 6468.a 1.a $1$ $51.647$ \(\Q\) None \(0\) \(1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+q^{9}-q^{11}-q^{13}+3q^{15}+\cdots\)
6468.2.a.u 6468.a 1.a $2$ $51.647$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta )q^{5}+q^{9}-q^{11}-3q^{13}+\cdots\)
6468.2.a.v 6468.a 1.a $2$ $51.647$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-q^{11}+4q^{13}+(-3+\beta )q^{17}+\cdots\)
6468.2.a.w 6468.a 1.a $2$ $51.647$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-q^{11}-4q^{13}+(3-\beta )q^{17}+\cdots\)
6468.2.a.x 6468.a 1.a $2$ $51.647$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}+q^{9}-q^{11}+3q^{13}+\cdots\)
6468.2.a.y 6468.a 1.a $4$ $51.647$ 4.4.96336.1 None \(0\) \(-4\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{2}q^{5}+q^{9}-q^{11}+(-1+\beta _{1}+\cdots)q^{13}+\cdots\)
6468.2.a.z 6468.a 1.a $4$ $51.647$ 4.4.96336.1 None \(0\) \(4\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{2}q^{5}+q^{9}-q^{11}+(1-\beta _{1}+\cdots)q^{13}+\cdots\)
6468.2.a.ba 6468.a 1.a $5$ $51.647$ 5.5.81384912.1 None \(0\) \(-5\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+q^{9}+q^{11}+(\beta _{2}-\beta _{4})q^{13}+\cdots\)
6468.2.a.bb 6468.a 1.a $5$ $51.647$ 5.5.81384912.1 None \(0\) \(5\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{1}q^{5}+q^{9}+q^{11}+(-\beta _{2}+\cdots)q^{13}+\cdots\)
6468.2.a.bc 6468.a 1.a $6$ $51.647$ 6.6.152932864.1 None \(0\) \(-6\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{1})q^{5}+q^{9}+q^{11}+\cdots\)
6468.2.a.bd 6468.a 1.a $6$ $51.647$ 6.6.126956032.1 None \(0\) \(-6\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-\beta _{3})q^{5}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
6468.2.a.be 6468.a 1.a $6$ $51.647$ 6.6.126956032.1 None \(0\) \(6\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta _{3})q^{5}+q^{9}-q^{11}+\cdots\)
6468.2.a.bf 6468.a 1.a $6$ $51.647$ 6.6.152932864.1 None \(0\) \(6\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1-\beta _{1})q^{5}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots\)
6468.2.i.a 6468.i 77.b $32$ $51.647$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
6468.2.i.b 6468.i 77.b $48$ $51.647$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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