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Results (30 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1265.1.j.a 1265.j 1265.j $2$ $0.631$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) \(q+(1+i)q^{3}-iq^{4}+iq^{5}+iq^{9}+iq^{11}+\cdots\)
1265.1.j.b 1265.j 1265.j $2$ $0.631$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) \(q+(1+i)q^{3}-iq^{4}-iq^{5}+iq^{9}-iq^{11}+\cdots\)
1265.1.ba.a 1265.ba 1265.aa $10$ $0.631$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(1\) \(0\) \(q+(-\zeta_{22}^{2}+\zeta_{22}^{8})q^{3}-\zeta_{22}^{4}q^{4}+\cdots\)
1265.1.ba.b 1265.ba 1265.aa $10$ $0.631$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(1\) \(0\) \(q+(\zeta_{22}^{2}-\zeta_{22}^{8})q^{3}-\zeta_{22}^{4}q^{4}-\zeta_{22}^{10}q^{5}+\cdots\)
1265.1.bi.a 1265.bi 1265.ai $20$ $0.631$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{44}^{2}+\zeta_{44}^{19})q^{3}-\zeta_{44}^{15}q^{4}+\cdots\)
1265.1.bi.b 1265.bi 1265.ai $20$ $0.631$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{44}^{8}-\zeta_{44}^{13})q^{3}-\zeta_{44}^{15}q^{4}+\cdots\)
1265.2.a.a 1265.a 1.a $1$ $10.101$ \(\Q\) None None \(-2\) \(-2\) \(1\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-2q^{3}+2q^{4}+q^{5}+4q^{6}+\cdots\)
1265.2.a.b 1265.a 1.a $2$ $10.101$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(2+\cdots)q^{7}+\cdots\)
1265.2.a.c 1265.a 1.a $5$ $10.101$ 5.5.24217.1 None None \(0\) \(-3\) \(5\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{2}+(-1+\beta _{2})q^{3}+(-\beta _{1}+\cdots)q^{4}+\cdots\)
1265.2.a.d 1265.a 1.a $7$ $10.101$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-3\) \(-5\) \(-7\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{4})q^{3}+\beta _{2}q^{4}-q^{5}+\cdots\)
1265.2.a.e 1265.a 1.a $7$ $10.101$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(-1\) \(7\) \(-13\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{5}q^{3}+\beta _{2}q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
1265.2.a.f 1265.a 1.a $8$ $10.101$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(-1\) \(-8\) \(-12\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
1265.2.a.g 1265.a 1.a $9$ $10.101$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(3\) \(9\) \(11\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
1265.2.a.h 1265.a 1.a $10$ $10.101$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(5\) \(-10\) \(16\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1265.2.a.i 1265.a 1.a $11$ $10.101$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(5\) \(5\) \(-11\) \(7\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1265.2.a.j 1265.a 1.a $15$ $10.101$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(3\) \(15\) \(10\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
1265.2.b.a 1265.b 5.b $56$ $10.101$ None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1265.2.b.b 1265.b 5.b $56$ $10.101$ None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1265.2.e.a 1265.e 253.b $96$ $10.101$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1265.4.a.a 1265.a 1.a $1$ $74.637$ \(\Q\) None None \(-2\) \(-7\) \(-5\) \(-24\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-7q^{3}-4q^{4}-5q^{5}+14q^{6}+\cdots\)
1265.4.a.b 1265.a 1.a $1$ $74.637$ \(\Q\) None None \(1\) \(4\) \(-5\) \(-9\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+4q^{3}-7q^{4}-5q^{5}+4q^{6}+\cdots\)
1265.4.a.c 1265.a 1.a $1$ $74.637$ \(\Q\) None None \(1\) \(4\) \(-5\) \(11\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+4q^{3}-7q^{4}-5q^{5}+4q^{6}+\cdots\)
1265.4.a.d 1265.a 1.a $21$ $74.637$ None None \(-6\) \(-18\) \(105\) \(-70\) $-$ $\mathrm{SU}(2)$
1265.4.a.e 1265.a 1.a $23$ $74.637$ None None \(-7\) \(-16\) \(-115\) \(-59\) $-$ $\mathrm{SU}(2)$
1265.4.a.f 1265.a 1.a $26$ $74.637$ None None \(-1\) \(-16\) \(-130\) \(-75\) $-$ $\mathrm{SU}(2)$
1265.4.a.g 1265.a 1.a $28$ $74.637$ None None \(0\) \(-6\) \(140\) \(-66\) $-$ $\mathrm{SU}(2)$
1265.4.a.h 1265.a 1.a $29$ $74.637$ None None \(0\) \(6\) \(-145\) \(90\) $+$ $\mathrm{SU}(2)$
1265.4.a.i 1265.a 1.a $29$ $74.637$ None None \(6\) \(12\) \(145\) \(104\) $+$ $\mathrm{SU}(2)$
1265.4.a.j 1265.a 1.a $29$ $74.637$ None None \(8\) \(25\) \(-145\) \(110\) $+$ $\mathrm{SU}(2)$
1265.4.a.k 1265.a 1.a $32$ $74.637$ None None \(0\) \(12\) \(160\) \(68\) $+$ $\mathrm{SU}(2)$
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