Learn more

Refine search


Results (46 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2006.2.a.a 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-5q^{7}+\cdots\)
2006.2.a.b 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2006.2.a.c 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(-1\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots\)
2006.2.a.d 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots\)
2006.2.a.e 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(1\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
2006.2.a.f 2006.a 1.a $1$ $16.018$ \(\Q\) None \(-1\) \(3\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}+2q^{5}-3q^{6}+4q^{7}+\cdots\)
2006.2.a.g 2006.a 1.a $1$ $16.018$ \(\Q\) None \(1\) \(-3\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}+q^{4}-3q^{5}-3q^{6}-q^{7}+\cdots\)
2006.2.a.h 2006.a 1.a $1$ $16.018$ \(\Q\) None \(1\) \(-1\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
2006.2.a.i 2006.a 1.a $1$ $16.018$ \(\Q\) None \(1\) \(-1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2006.2.a.j 2006.a 1.a $1$ $16.018$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{9}-6q^{11}+\cdots\)
2006.2.a.k 2006.a 1.a $1$ $16.018$ \(\Q\) None \(1\) \(2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+2q^{7}+\cdots\)
2006.2.a.l 2006.a 1.a $2$ $16.018$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}-3q^{7}+\cdots\)
2006.2.a.m 2006.a 1.a $2$ $16.018$ \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(-5\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+(-2-\beta )q^{5}+\beta q^{6}+\cdots\)
2006.2.a.n 2006.a 1.a $3$ $16.018$ 3.3.229.1 None \(-3\) \(2\) \(-2\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta _{2})q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
2006.2.a.o 2006.a 1.a $3$ $16.018$ 3.3.568.1 None \(3\) \(-1\) \(5\) \(7\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}-\beta _{1}q^{6}+\cdots\)
2006.2.a.p 2006.a 1.a $4$ $16.018$ 4.4.2225.1 None \(-4\) \(-1\) \(-5\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
2006.2.a.q 2006.a 1.a $4$ $16.018$ \(\Q(\zeta_{20})^+\) None \(-4\) \(0\) \(2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-\beta _{2}+\beta _{3})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
2006.2.a.r 2006.a 1.a $4$ $16.018$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(4\) \(-4\) \(4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{2})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
2006.2.a.s 2006.a 1.a $4$ $16.018$ 4.4.13676.1 None \(4\) \(-3\) \(3\) \(-12\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{3})q^{3}+q^{4}+(1-\beta _{3})q^{5}+\cdots\)
2006.2.a.t 2006.a 1.a $8$ $16.018$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(5\) \(-5\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{2})q^{3}+q^{4}+(-1+\beta _{7})q^{5}+\cdots\)
2006.2.a.u 2006.a 1.a $9$ $16.018$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-1\) \(7\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{6})q^{5}+\beta _{1}q^{6}+\cdots\)
2006.2.a.v 2006.a 1.a $12$ $16.018$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(-3\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{8}q^{5}+\beta _{1}q^{6}+\cdots\)
2006.2.a.w 2006.a 1.a $13$ $16.018$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(7\) \(1\) \(8\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+\beta _{8}q^{5}+(1+\cdots)q^{6}+\cdots\)
2006.2.b.a 2006.b 17.b $2$ $16.018$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+iq^{3}+q^{4}-2iq^{5}-iq^{6}+\cdots\)
2006.2.b.b 2006.b 17.b $2$ $16.018$ \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+iq^{3}+q^{4}-2iq^{5}+iq^{6}+\cdots\)
2006.2.b.c 2006.b 17.b $2$ $16.018$ \(\Q(\sqrt{-2}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
2006.2.b.d 2006.b 17.b $4$ $16.018$ \(\Q(\sqrt{-2}, \sqrt{7})\) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-2\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
2006.2.b.e 2006.b 17.b $4$ $16.018$ \(\Q(\zeta_{8})\) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+(\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+(\zeta_{8}-2\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
2006.2.b.f 2006.b 17.b $4$ $16.018$ \(\Q(\zeta_{8})\) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\zeta_{8}q^{3}+q^{4}+(\zeta_{8}-\zeta_{8}^{2})q^{5}+\cdots\)
2006.2.b.g 2006.b 17.b $4$ $16.018$ \(\Q(\zeta_{8})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+3\zeta_{8}q^{3}+q^{4}+(\zeta_{8}-\zeta_{8}^{2})q^{5}+\cdots\)
2006.2.b.h 2006.b 17.b $4$ $16.018$ \(\Q(i, \sqrt{6})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2006.2.b.i 2006.b 17.b $6$ $16.018$ 6.0.399424.1 None \(-6\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-\beta _{3}q^{3}+q^{4}-\beta _{5}q^{5}+\beta _{3}q^{6}+\cdots\)
2006.2.b.j 2006.b 17.b $6$ $16.018$ 6.0.107910544.1 None \(-6\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3}-\beta _{5})q^{5}+\cdots\)
2006.2.b.k 2006.b 17.b $6$ $16.018$ 6.0.399424.1 None \(6\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+(\beta _{4}+\beta _{5})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots\)
2006.2.b.l 2006.b 17.b $6$ $16.018$ 6.0.107910544.1 None \(6\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
2006.2.b.m 2006.b 17.b $10$ $16.018$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
2006.2.b.n 2006.b 17.b $10$ $16.018$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{7}q^{5}+\beta _{1}q^{6}+\cdots\)
2006.2.b.o 2006.b 17.b $16$ $16.018$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-16\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{1}q^{6}+\cdots\)
2006.4.a.a 2006.a 1.a $25$ $118.358$ None \(50\) \(-28\) \(-18\) \(-79\) $-$ $\mathrm{SU}(2)$
2006.4.a.b 2006.a 1.a $26$ $118.358$ None \(-52\) \(-2\) \(-18\) \(-17\) $-$ $\mathrm{SU}(2)$
2006.4.a.c 2006.a 1.a $26$ $118.358$ None \(52\) \(-10\) \(-12\) \(-23\) $-$ $\mathrm{SU}(2)$
2006.4.a.d 2006.a 1.a $27$ $118.358$ None \(-54\) \(10\) \(-12\) \(-31\) $-$ $\mathrm{SU}(2)$
2006.4.a.e 2006.a 1.a $31$ $118.358$ None \(-62\) \(4\) \(32\) \(-3\) $+$ $\mathrm{SU}(2)$
2006.4.a.f 2006.a 1.a $32$ $118.358$ None \(-64\) \(-2\) \(-12\) \(11\) $+$ $\mathrm{SU}(2)$
2006.4.a.g 2006.a 1.a $32$ $118.358$ None \(64\) \(26\) \(32\) \(103\) $+$ $\mathrm{SU}(2)$
2006.4.a.h 2006.a 1.a $33$ $118.358$ None \(66\) \(14\) \(-12\) \(47\) $+$ $\mathrm{SU}(2)$
  displayed columns for results