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Results (43 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3234.2.a.a 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots\)
3234.2.a.b 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.c 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.d 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.e 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.f 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.g 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(-1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots\)
3234.2.a.h 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.i 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.j 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.k 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.l 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.m 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.n 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.o 3234.a 1.a $1$ $25.824$ \(\Q\) None \(-1\) \(1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.p 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(-1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.q 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3234.2.a.r 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(-1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.s 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(-1\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.t 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.u 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.v 3234.a 1.a $1$ $25.824$ \(\Q\) None \(1\) \(1\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.w 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{7}) \) None \(-2\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots\)
3234.2.a.x 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots\)
3234.2.a.y 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.z 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.ba 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{7}) \) None \(-2\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.bb 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
3234.2.a.bc 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.bd 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.be 3234.a 1.a $2$ $25.824$ \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
3234.2.a.bf 3234.a 1.a $3$ $25.824$ 3.3.2700.1 None \(3\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.bg 3234.a 1.a $3$ $25.824$ 3.3.621.1 None \(3\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+q^{8}+\cdots\)
3234.2.a.bh 3234.a 1.a $3$ $25.824$ 3.3.2700.1 None \(3\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.bi 3234.a 1.a $3$ $25.824$ 3.3.621.1 None \(3\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}+q^{8}+\cdots\)
3234.2.a.bj 3234.a 1.a $4$ $25.824$ 4.4.14336.1 None \(-4\) \(-4\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}-q^{8}+\cdots\)
3234.2.a.bk 3234.a 1.a $4$ $25.824$ 4.4.14336.1 None \(-4\) \(4\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.bl 3234.a 1.a $4$ $25.824$ 4.4.4352.1 None \(4\) \(-4\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-1-\beta _{3})q^{5}-q^{6}+\cdots\)
3234.2.a.bm 3234.a 1.a $4$ $25.824$ 4.4.4352.1 None \(4\) \(4\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(1+\beta _{3})q^{5}+q^{6}+\cdots\)
3234.2.e.a 3234.e 77.b $16$ $25.824$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{12}q^{2}-\beta _{12}q^{3}-q^{4}+(-\beta _{11}+\cdots)q^{5}+\cdots\)
3234.2.e.b 3234.e 77.b $16$ $25.824$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{12}q^{2}-\beta _{12}q^{3}-q^{4}+(-\beta _{11}+\cdots)q^{5}+\cdots\)
3234.2.e.c 3234.e 77.b $24$ $25.824$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
3234.2.e.d 3234.e 77.b $24$ $25.824$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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