Learn more

Refine search


Results (1-50 of 189 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
810.2.a.a 810.a 1.a $1$ $6.468$ \(\Q\) None \(-1\) \(0\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots\)
810.2.a.b 810.a 1.a $1$ $6.468$ \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
810.2.a.c 810.a 1.a $1$ $6.468$ \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
810.2.a.d 810.a 1.a $1$ $6.468$ \(\Q\) None \(-1\) \(0\) \(1\) \(5\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+5q^{7}-q^{8}-q^{10}+\cdots\)
810.2.a.e 810.a 1.a $1$ $6.468$ \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
810.2.a.f 810.a 1.a $1$ $6.468$ \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
810.2.a.g 810.a 1.a $1$ $6.468$ \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
810.2.a.h 810.a 1.a $1$ $6.468$ \(\Q\) None \(1\) \(0\) \(-1\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+5q^{7}+q^{8}-q^{10}+\cdots\)
810.2.a.i 810.a 1.a $2$ $6.468$ \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots\)
810.2.a.j 810.a 1.a $2$ $6.468$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+(2+\beta )q^{7}-q^{8}+\cdots\)
810.2.a.k 810.a 1.a $2$ $6.468$ \(\Q(\sqrt{33}) \) None \(2\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots\)
810.2.a.l 810.a 1.a $2$ $6.468$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+(2+\beta )q^{7}+q^{8}+\cdots\)
810.2.c.a 810.c 5.b $2$ $6.468$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+(-2+i)q^{5}+iq^{7}+\cdots\)
810.2.c.b 810.c 5.b $2$ $6.468$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+(-1+2i)q^{5}+iq^{7}+\cdots\)
810.2.c.c 810.c 5.b $2$ $6.468$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+(1-2i)q^{5}+iq^{7}-iq^{8}+\cdots\)
810.2.c.d 810.c 5.b $2$ $6.468$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+(2-i)q^{5}+iq^{7}+iq^{8}+\cdots\)
810.2.c.e 810.c 5.b $4$ $6.468$ \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-q^{4}+(-1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
810.2.c.f 810.c 5.b $4$ $6.468$ \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}-q^{4}+(1+\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
810.2.c.g 810.c 5.b $8$ $6.468$ 8.0.2702336256.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{6}q^{2}-q^{4}+\beta _{7}q^{5}-\beta _{3}q^{7}+\beta _{6}q^{8}+\cdots\)
810.2.e.a 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.b 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(4+\cdots)q^{7}+\cdots\)
810.2.e.c 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-5\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-5+\cdots)q^{7}+\cdots\)
810.2.e.d 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.e 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.f 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots\)
810.2.e.g 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-5\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-5+\cdots)q^{7}+\cdots\)
810.2.e.h 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.i 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.j 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+\cdots\)
810.2.e.k 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
810.2.e.l 810.e 9.c $2$ $6.468$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(1\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+\cdots\)
810.2.e.m 810.e 9.c $4$ $6.468$ \(\Q(\zeta_{12})\) None \(-2\) \(0\) \(-2\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{12}q^{2}+(-1+\zeta_{12})q^{4}+(-1+\zeta_{12}+\cdots)q^{5}+\cdots\)
810.2.e.n 810.e 9.c $4$ $6.468$ \(\Q(\zeta_{12})\) None \(2\) \(0\) \(2\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+\zeta_{12}q^{2}+(-1+\zeta_{12})q^{4}+(1-\zeta_{12}+\cdots)q^{5}+\cdots\)
810.2.f.a 810.f 15.e $8$ $6.468$ \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{24}^{3}q^{2}-\zeta_{24}^{2}q^{4}+(\zeta_{24}-2\zeta_{24}^{3}+\cdots)q^{5}+\cdots\)
810.2.f.b 810.f 15.e $8$ $6.468$ \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(16\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{24}q^{2}+\zeta_{24}^{3}q^{4}+(\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{5}+\cdots\)
810.2.f.c 810.f 15.e $16$ $6.468$ 16.0.\(\cdots\).9 None \(0\) \(0\) \(0\) \(-16\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{12}q^{2}+\beta _{13}q^{4}+(\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
810.2.f.d 810.f 15.e $16$ $6.468$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{14}q^{2}-\beta _{6}q^{4}+(-\beta _{9}+\beta _{13})q^{5}+\cdots\)
810.2.i.a 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.b 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.c 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.d 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.e 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}+2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.f 810.i 45.j $4$ $6.468$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}+2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
810.2.i.g 810.i 45.j $8$ $6.468$ 8.0.2702336256.1 None \(0\) \(0\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\beta _{4}+\beta _{6})q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
810.2.i.h 810.i 45.j $8$ $6.468$ 8.0.2702336256.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+\beta _{4}q^{2}-\beta _{2}q^{4}-\beta _{1}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
810.2.i.i 810.i 45.j $8$ $6.468$ 8.0.2702336256.1 None \(0\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{4}-\beta _{6})q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
810.2.k.a 810.k 27.e $6$ $6.468$ \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{9}]$ \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-\zeta_{18}^{5}q^{4}+(\zeta_{18}^{2}+\cdots)q^{5}+\cdots\)
810.2.k.b 810.k 27.e $12$ $6.468$ 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{9}]$ \(q-\beta _{7}q^{2}+\beta _{9}q^{4}+(-\beta _{8}+\beta _{9})q^{5}+\cdots\)
810.2.k.c 810.k 27.e $12$ $6.468$ 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{9}]$ \(q+(-\beta _{8}+\beta _{9})q^{2}+\beta _{7}q^{4}-\beta _{10}q^{5}+\cdots\)
810.2.k.d 810.k 27.e $18$ $6.468$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(0\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{9}]$ \(q-\beta _{1}q^{2}-\beta _{2}q^{4}+(\beta _{2}+\beta _{4})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
Next   Download to