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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Results (25 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 107
8025.2.a.b 8025.a 1.a $1$ $64.080$ \(\Q\) None \(-2\) \(-1\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{7}+q^{9}+\cdots\)
8025.2.a.c 8025.a 1.a $1$ $64.080$ \(\Q\) None \(-2\) \(1\) \(0\) \(-5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}-5q^{7}+\cdots\)
8025.2.a.e 8025.a 1.a $1$ $64.080$ \(\Q\) None \(-2\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
8025.2.a.f 8025.a 1.a $1$ $64.080$ \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}+2q^{7}+3q^{8}+\cdots\)
8025.2.a.g 8025.a 1.a $1$ $64.080$ \(\Q\) None \(-1\) \(1\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}+4q^{7}+3q^{8}+\cdots\)
8025.2.a.h 8025.a 1.a $1$ $64.080$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{7}+q^{9}-6q^{11}+2q^{12}+\cdots\)
8025.2.a.j 8025.a 1.a $1$ $64.080$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-2q^{7}+q^{9}-3q^{11}+\cdots\)
8025.2.a.l 8025.a 1.a $1$ $64.080$ \(\Q\) None \(1\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\cdots\)
8025.2.a.m 8025.a 1.a $1$ $64.080$ \(\Q\) None \(2\) \(-1\) \(0\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
8025.2.a.n 8025.a 1.a $1$ $64.080$ \(\Q\) None \(2\) \(-1\) \(0\) \(5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+5q^{7}+\cdots\)
8025.2.a.q 8025.a 1.a $1$ $64.080$ \(\Q\) None \(2\) \(1\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+4q^{7}+\cdots\)
8025.2.a.t 8025.a 1.a $3$ $64.080$ \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(0\) \(-9\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
8025.2.a.v 8025.a 1.a $3$ $64.080$ 3.3.169.1 None \(1\) \(3\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}+\beta _{2})q^{2}+q^{3}+(2-2\beta _{1}+\cdots)q^{4}+\cdots\)
8025.2.a.w 8025.a 1.a $4$ $64.080$ 4.4.1957.1 None \(3\) \(-4\) \(0\) \(8\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}-q^{3}+(1-\beta _{1}-\beta _{3})q^{4}+\cdots\)
8025.2.a.z 8025.a 1.a $5$ $64.080$ 5.5.805501.1 None \(1\) \(5\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.ba 8025.a 1.a $6$ $64.080$ 6.6.13231312.1 None \(-3\) \(-6\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-q^{3}+(1-\beta _{4})q^{4}+\beta _{2}q^{6}+\cdots\)
8025.2.a.bb 8025.a 1.a $7$ $64.080$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(7\) \(0\) \(-6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{2}+q^{3}+(2-\beta _{1}-\beta _{4})q^{4}-\beta _{5}q^{6}+\cdots\)
8025.2.a.bd 8025.a 1.a $11$ $64.080$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(4\) \(-11\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.be 8025.a 1.a $11$ $64.080$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(4\) \(11\) \(0\) \(9\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bh 8025.a 1.a $13$ $64.080$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(1\) \(13\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bj 8025.a 1.a $16$ $64.080$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(6\) \(-16\) \(0\) \(10\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
8025.2.a.bl 8025.a 1.a $17$ $64.080$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(4\) \(17\) \(0\) \(9\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
8025.2.a.bn 8025.a 1.a $18$ $64.080$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(4\) \(-18\) \(0\) \(12\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
8025.2.a.bq 8025.a 1.a $29$ $64.080$ None \(-6\) \(-29\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$
8025.2.a.br 8025.a 1.a $29$ $64.080$ None \(6\) \(29\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$
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