Learn more

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

Refine search


Results (22 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 5 13
2535.2.a.b 2535.a 1.a $1$ $20.242$ \(\Q\) None \(-2\) \(1\) \(-1\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+3q^{7}+\cdots\)
2535.2.a.f 2535.a 1.a $1$ $20.242$ \(\Q\) None \(0\) \(-1\) \(-1\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+3q^{7}+q^{9}-3q^{11}+\cdots\)
2535.2.a.h 2535.a 1.a $1$ $20.242$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+6q^{11}+\cdots\)
2535.2.a.k 2535.a 1.a $1$ $20.242$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
2535.2.a.l 2535.a 1.a $1$ $20.242$ \(\Q\) None \(1\) \(1\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+2q^{7}+\cdots\)
2535.2.a.m 2535.a 1.a $1$ $20.242$ \(\Q\) None \(2\) \(1\) \(-1\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+5q^{7}+\cdots\)
2535.2.a.q 2535.a 1.a $2$ $20.242$ \(\Q(\sqrt{17}) \) None \(1\) \(2\) \(2\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
2535.2.a.r 2535.a 1.a $2$ $20.242$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}-q^{5}+\cdots\)
2535.2.a.s 2535.a 1.a $2$ $20.242$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}+q^{5}+\cdots\)
2535.2.a.t 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{2})q^{2}+q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
2535.2.a.u 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(-2\) \(3\) \(-3\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
2535.2.a.x 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(-1\) \(3\) \(3\) \(12\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
2535.2.a.z 2535.a 1.a $3$ $20.242$ 3.3.148.1 None \(0\) \(-3\) \(3\) \(5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+q^{5}+\cdots\)
2535.2.a.bb 2535.a 1.a $3$ $20.242$ 3.3.756.1 None \(0\) \(-3\) \(3\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
2535.2.a.bc 2535.a 1.a $3$ $20.242$ 3.3.316.1 None \(0\) \(-3\) \(3\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(3+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
2535.2.a.be 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(1\) \(3\) \(-3\) \(-12\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
2535.2.a.bg 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(2\) \(3\) \(3\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
2535.2.a.bh 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}-\beta _{2})q^{2}+q^{3}+(4-\beta _{1})q^{4}+\cdots\)
2535.2.a.bj 2535.a 1.a $4$ $20.242$ 4.4.13824.1 None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
2535.2.a.bl 2535.a 1.a $4$ $20.242$ 4.4.7488.1 None \(2\) \(4\) \(4\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{2}+q^{3}+(1-\beta _{2})q^{4}+q^{5}-\beta _{3}q^{6}+\cdots\)
2535.2.a.bm 2535.a 1.a $9$ $20.242$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(-9\) \(10\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{7}q^{2}-q^{3}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
2535.2.a.bn 2535.a 1.a $9$ $20.242$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(9\) \(-10\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{7}q^{2}-q^{3}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
  displayed columns for results