Learn more

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

Refine search


Results (18 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 13
1521.4.a.d 1521.a 1.a $1$ $89.742$ \(\Q\) None \(-3\) \(0\) \(9\) \(15\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}+9q^{5}+15q^{7}+21q^{8}+\cdots\)
1521.4.a.g 1521.a 1.a $1$ $89.742$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-20\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-8q^{4}-20q^{7}+2^{6}q^{16}-56q^{19}+\cdots\)
1521.4.a.i 1521.a 1.a $1$ $89.742$ \(\Q\) None \(3\) \(0\) \(-9\) \(-15\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{2}+q^{4}-9q^{5}-15q^{7}-21q^{8}+\cdots\)
1521.4.a.m 1521.a 1.a $2$ $89.742$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-8q^{4}-3\beta q^{5}+6\beta q^{7}+30\beta q^{11}+\cdots\)
1521.4.a.o 1521.a 1.a $2$ $89.742$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-5q^{4}+\beta q^{5}+8\beta q^{7}-13\beta q^{8}+\cdots\)
1521.4.a.p 1521.a 1.a $2$ $89.742$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(0\) \(44\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{4}-4\beta q^{5}+22q^{7}-9\beta q^{8}+\cdots\)
1521.4.a.q 1521.a 1.a $2$ $89.742$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2\beta q^{2}+4q^{4}+8\beta q^{5}+13\beta q^{7}+\cdots\)
1521.4.a.w 1521.a 1.a $4$ $89.742$ 4.4.1362828.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(4+\beta _{3})q^{4}+(2\beta _{1}+\beta _{2})q^{5}+\cdots\)
1521.4.a.x 1521.a 1.a $4$ $89.742$ 4.4.5054412.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(7+\beta _{3})q^{4}-\beta _{2}q^{5}+6\beta _{1}q^{7}+\cdots\)
1521.4.a.z 1521.a 1.a $4$ $89.742$ \(\Q(\sqrt{3}, \sqrt{17})\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+9q^{4}+(3\beta _{1}-2\beta _{3})q^{5}+(11\beta _{1}+\cdots)q^{7}+\cdots\)
1521.4.a.ba 1521.a 1.a $4$ $89.742$ 4.4.1520092.1 None \(0\) \(0\) \(0\) \(-36\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(14+\beta _{2})q^{4}-\beta _{3}q^{5}+(-8+\cdots)q^{7}+\cdots\)
1521.4.a.bc 1521.a 1.a $8$ $89.742$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(-22\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+\beta _{3}q^{5}+(-3+\cdots)q^{7}+\cdots\)
1521.4.a.bd 1521.a 1.a $8$ $89.742$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(22\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+\beta _{3}q^{5}+(3-\beta _{5}+\cdots)q^{7}+\cdots\)
1521.4.a.bf 1521.a 1.a $9$ $89.742$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-6\) \(0\) \(-33\) \(83\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{2}+(5+\beta _{3}+\beta _{5})q^{4}+\cdots\)
1521.4.a.bh 1521.a 1.a $9$ $89.742$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(5\) \(0\) \(30\) \(-38\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(5+\beta _{5}+\beta _{6}+\beta _{8})q^{4}+\cdots\)
1521.4.a.bj 1521.a 1.a $9$ $89.742$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(8\) \(0\) \(41\) \(-1\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(3-2\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
1521.4.a.bk 1521.a 1.a $10$ $89.742$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(6+\beta _{4})q^{4}+(\beta _{1}+\beta _{2}-\beta _{8}+\cdots)q^{5}+\cdots\)
1521.4.a.bn 1521.a 1.a $18$ $89.742$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(0\) \(0\) \(94\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}-\beta _{14})q^{5}+\cdots\)
  displayed columns for results