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Results (21 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 19
4332.2.a.a 4332.a 1.a $1$ $34.591$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
4332.2.a.b 4332.a 1.a $1$ $34.591$ \(\Q\) None \(0\) \(1\) \(-3\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots\)
4332.2.a.c 4332.a 1.a $1$ $34.591$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4332.2.a.d 4332.a 1.a $1$ $34.591$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots\)
4332.2.a.e 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-1\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{5}-3\beta q^{7}+q^{9}+5q^{11}+\cdots\)
4332.2.a.f 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{5}+(-2+4\beta )q^{7}+q^{9}+\cdots\)
4332.2.a.g 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+(-1-\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
4332.2.a.h 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(2\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+(2+\beta )q^{7}+q^{9}+\cdots\)
4332.2.a.i 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(3\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
4332.2.a.j 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-1\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}-3\beta q^{7}+q^{9}+5q^{11}+\cdots\)
4332.2.a.k 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}+(-2+4\beta )q^{7}+q^{9}+\cdots\)
4332.2.a.l 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(-1-\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
4332.2.a.m 4332.a 1.a $2$ $34.591$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}+(2+\beta )q^{7}+q^{9}+\cdots\)
4332.2.a.n 4332.a 1.a $3$ $34.591$ \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(3\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
4332.2.a.o 4332.a 1.a $3$ $34.591$ \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(3\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
4332.2.a.p 4332.a 1.a $4$ $34.591$ \(\Q(\zeta_{20})^+\) None \(0\) \(-4\) \(-4\) \(-6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
4332.2.a.q 4332.a 1.a $4$ $34.591$ 4.4.2225.1 None \(0\) \(-4\) \(-4\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-2\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
4332.2.a.r 4332.a 1.a $4$ $34.591$ \(\Q(\zeta_{20})^+\) None \(0\) \(4\) \(-4\) \(-6\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
4332.2.a.s 4332.a 1.a $4$ $34.591$ 4.4.2225.1 None \(0\) \(4\) \(-4\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-2\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
4332.2.a.t 4332.a 1.a $6$ $34.591$ 6.6.73227321.1 None \(0\) \(-6\) \(3\) \(9\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-\beta _{1})q^{5}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
4332.2.a.u 4332.a 1.a $6$ $34.591$ 6.6.73227321.1 None \(0\) \(6\) \(3\) \(9\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1-\beta _{1})q^{5}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
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