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Results (36 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4140.2.a.a 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+2q^{13}-6q^{17}+2q^{19}+\cdots\)
4140.2.a.b 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+2q^{11}-2q^{13}+7q^{17}+\cdots\)
4140.2.a.c 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+4q^{11}-2q^{13}-6q^{17}+\cdots\)
4140.2.a.d 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+4q^{11}+q^{13}-4q^{19}+\cdots\)
4140.2.a.e 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{7}+4q^{13}+3q^{17}-4q^{19}+\cdots\)
4140.2.a.f 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}+6q^{11}-q^{13}+2q^{19}+\cdots\)
4140.2.a.g 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
4140.2.a.h 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-6q^{11}+6q^{13}-7q^{17}+\cdots\)
4140.2.a.i 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-4q^{13}+3q^{17}-4q^{19}+\cdots\)
4140.2.a.j 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{13}-2q^{17}+6q^{19}+q^{23}+\cdots\)
4140.2.a.k 4140.a 1.a $1$ $33.058$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{13}-4q^{17}-4q^{19}+\cdots\)
4140.2.a.l 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta )q^{7}+\beta q^{11}+(2-\beta )q^{13}+\cdots\)
4140.2.a.m 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-2q^{11}+(-1-\beta )q^{13}+\cdots\)
4140.2.a.n 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-2\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
4140.2.a.o 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+2\beta )q^{7}+(1+3\beta )q^{11}+(-5+\cdots)q^{13}+\cdots\)
4140.2.a.p 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{15}) \) None \(0\) \(0\) \(-2\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{7}+(-1-\beta )q^{11}+(1-\beta )q^{13}+\cdots\)
4140.2.a.q 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1+\beta )q^{7}-\beta q^{11}+(2-\beta )q^{13}+\cdots\)
4140.2.a.r 4140.a 1.a $2$ $33.058$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+(2-\beta )q^{11}-\beta q^{13}+(1+\cdots)q^{17}+\cdots\)
4140.2.a.s 4140.a 1.a $3$ $33.058$ 3.3.3144.1 None \(0\) \(0\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1-\beta _{1})q^{7}+(-1-\beta _{2})q^{11}+\cdots\)
4140.2.a.t 4140.a 1.a $5$ $33.058$ 5.5.14345904.1 None \(0\) \(0\) \(-5\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta _{3})q^{7}+(-1+\beta _{4})q^{11}+\cdots\)
4140.2.a.u 4140.a 1.a $5$ $33.058$ 5.5.14345904.1 None \(0\) \(0\) \(5\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta _{3})q^{7}+(1-\beta _{4})q^{11}+(1+\cdots)q^{13}+\cdots\)
4140.2.f.a 4140.f 5.b $6$ $33.058$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{1}-\beta _{4})q^{5}-\beta _{3}q^{7}+\beta _{1}q^{11}+(\beta _{3}+\cdots)q^{13}+\cdots\)
4140.2.f.b 4140.f 5.b $12$ $33.058$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{8}q^{5}+(\beta _{1}+\beta _{6}-\beta _{10})q^{7}+(-1+\cdots)q^{11}+\cdots\)
4140.2.f.c 4140.f 5.b $14$ $33.058$ \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{10}q^{5}+\beta _{13}q^{7}+(-1+\beta _{2}-\beta _{4}+\cdots)q^{11}+\cdots\)
4140.2.f.d 4140.f 5.b $24$ $33.058$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4140.2.i.a 4140.i 69.c $16$ $33.058$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(-16\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{5}-\beta _{9}q^{7}+\beta _{1}q^{11}-\beta _{5}q^{13}+\cdots\)
4140.2.i.b 4140.i 69.c $16$ $33.058$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(16\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{5}-\beta _{9}q^{7}-\beta _{1}q^{11}-\beta _{5}q^{13}+\cdots\)
4140.2.n.a 4140.n 345.h $16$ $33.058$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) \(\Q(\sqrt{-115}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{5}-\beta _{12}q^{7}+(\beta _{5}-\beta _{7})q^{17}+\cdots\)
4140.2.n.b 4140.n 345.h $32$ $33.058$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4140.2.s.a 4140.s 15.e $44$ $33.058$ None \(0\) \(0\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{4}]$
4140.2.s.b 4140.s 15.e $44$ $33.058$ None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{4}]$
4140.3.c.a 4140.c 15.d $88$ $112.807$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4140.3.d.a 4140.d 23.b $16$ $112.807$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{5}-\beta _{7}q^{7}+(-2\beta _{4}+\beta _{9})q^{11}+\cdots\)
4140.3.d.b 4140.d 23.b $32$ $112.807$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4140.3.d.c 4140.d 23.b $32$ $112.807$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4140.3.l.a 4140.l 3.b $56$ $112.807$ None \(0\) \(0\) \(0\) \(32\) $\mathrm{SU}(2)[C_{2}]$
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