Learn more

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

Refine search


Results (19 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 7 13
3549.2.a.a 3549.a 1.a $1$ $28.339$ \(\Q\) None \(-2\) \(1\) \(-3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
3549.2.a.b 3549.a 1.a $1$ $28.339$ \(\Q\) None \(-2\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
3549.2.a.c 3549.a 1.a $1$ $28.339$ \(\Q\) None \(1\) \(1\) \(2\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
3549.2.a.d 3549.a 1.a $1$ $28.339$ \(\Q\) None \(2\) \(-1\) \(1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}-q^{7}+\cdots\)
3549.2.a.f 3549.a 1.a $2$ $28.339$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
3549.2.a.g 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-3\) \(0\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
3549.2.a.h 3549.a 1.a $3$ $28.339$ 3.3.169.1 None \(-2\) \(-3\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
3549.2.a.i 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{14})^+\) None \(-2\) \(3\) \(0\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
3549.2.a.j 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{14})^+\) None \(-1\) \(3\) \(3\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
3549.2.a.l 3549.a 1.a $3$ $28.339$ 3.3.473.1 None \(0\) \(-3\) \(-2\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
3549.2.a.n 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(-6\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-2-\beta _{1}+\cdots)q^{5}+\cdots\)
3549.2.a.p 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{14})^+\) None \(1\) \(3\) \(-3\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
3549.2.a.q 3549.a 1.a $3$ $28.339$ 3.3.148.1 None \(1\) \(3\) \(2\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
3549.2.a.r 3549.a 1.a $3$ $28.339$ \(\Q(\zeta_{14})^+\) None \(2\) \(-3\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}-q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
3549.2.a.v 3549.a 1.a $4$ $28.339$ 4.4.64436.1 None \(-1\) \(-4\) \(-3\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
3549.2.a.y 3549.a 1.a $6$ $28.339$ 6.6.121819537.1 None \(-2\) \(-6\) \(3\) \(-6\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-q^{3}+(-1-\beta _{2}+\beta _{4})q^{4}+\cdots\)
3549.2.a.z 3549.a 1.a $6$ $28.339$ 6.6.121819537.1 None \(2\) \(-6\) \(-3\) \(6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-q^{3}+(-1-\beta _{2}+\beta _{4})q^{4}+\cdots\)
3549.2.a.ba 3549.a 1.a $8$ $28.339$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(-8\) \(-6\) \(8\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
3549.2.a.bb 3549.a 1.a $8$ $28.339$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(8\) \(-2\) \(-8\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
  displayed columns for results