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Results (28 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4020.2.a.a 4020.a 1.a $1$ $32.100$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4020.2.a.b 4020.a 1.a $4$ $32.100$ 4.4.9301.1 None \(0\) \(-4\) \(-4\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(\beta _{1}+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4020.2.a.c 4020.a 1.a $4$ $32.100$ 4.4.98117.1 None \(0\) \(4\) \(-4\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots\)
4020.2.a.d 4020.a 1.a $4$ $32.100$ \(\Q(\zeta_{15})^+\) None \(0\) \(4\) \(4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+q^{9}+\cdots\)
4020.2.a.e 4020.a 1.a $5$ $32.100$ 5.5.1257629.1 None \(0\) \(-5\) \(5\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(-1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
4020.2.a.f 4020.a 1.a $6$ $32.100$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(-6\) \(6\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{5})q^{11}+\cdots\)
4020.2.a.g 4020.a 1.a $6$ $32.100$ 6.6.195727752.1 None \(0\) \(6\) \(-6\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(\beta _{1}+\beta _{4})q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
4020.2.a.h 4020.a 1.a $7$ $32.100$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-7\) \(-7\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1+\beta _{2}+\cdots)q^{11}+\cdots\)
4020.2.a.i 4020.a 1.a $7$ $32.100$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(7\) \(7\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-\beta _{4}q^{7}+q^{9}+(\beta _{3}+\beta _{6})q^{11}+\cdots\)
4020.2.f.a 4020.f 201.d $46$ $32.100$ None \(0\) \(0\) \(-46\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4020.2.f.b 4020.f 201.d $46$ $32.100$ None \(0\) \(0\) \(46\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4020.2.g.a 4020.g 5.b $2$ $32.100$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(1-2i)q^{5}-q^{9}+2iq^{13}+\cdots\)
4020.2.g.b 4020.g 5.b $24$ $32.100$ None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4020.2.g.c 4020.g 5.b $38$ $32.100$ None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4020.2.q.a 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}-5\zeta_{6}q^{11}+\cdots\)
4020.2.q.b 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.c 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.d 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.e 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.f 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.g 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.h 4020.q 67.c $2$ $32.100$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.i 4020.q 67.c $4$ $32.100$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(0\) \(4\) \(-4\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}+(-\beta _{1}+\beta _{3})q^{7}+q^{9}+\cdots\)
4020.2.q.j 4020.q 67.c $12$ $32.100$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(12\) \(-12\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{3}-q^{5}+(\beta _{1}-\beta _{6}-\beta _{9})q^{7}+q^{9}+\cdots\)
4020.2.q.k 4020.q 67.c $14$ $32.100$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(-14\) \(14\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{3}+q^{5}-\beta _{6}q^{7}+q^{9}+(1-\beta _{5}+\cdots)q^{11}+\cdots\)
4020.2.q.l 4020.q 67.c $22$ $32.100$ None \(0\) \(-22\) \(-22\) \(1\) $\mathrm{SU}(2)[C_{3}]$
4020.2.q.m 4020.q 67.c $24$ $32.100$ None \(0\) \(24\) \(24\) \(-3\) $\mathrm{SU}(2)[C_{3}]$
4020.3.c.a 4020.c 67.b $92$ $109.537$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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