Learn more

Refine search


Results (1-50 of 74 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
483.2.a.a 483.a 1.a $1$ $3.857$ \(\Q\) None \(2\) \(1\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{7}+q^{9}+\cdots\)
483.2.a.b 483.a 1.a $1$ $3.857$ \(\Q\) None \(2\) \(1\) \(4\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots\)
483.2.a.c 483.a 1.a $2$ $3.857$ \(\Q(\sqrt{5}) \) None \(-3\) \(2\) \(-5\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
483.2.a.d 483.a 1.a $2$ $3.857$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
483.2.a.e 483.a 1.a $2$ $3.857$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(3-\beta )q^{5}+\cdots\)
483.2.a.f 483.a 1.a $2$ $3.857$ \(\Q(\sqrt{13}) \) None \(-1\) \(2\) \(-5\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots\)
483.2.a.g 483.a 1.a $2$ $3.857$ \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
483.2.a.h 483.a 1.a $3$ $3.857$ 3.3.837.1 None \(0\) \(3\) \(3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
483.2.a.i 483.a 1.a $4$ $3.857$ 4.4.24197.1 None \(0\) \(-4\) \(5\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{3})q^{5}+\cdots\)
483.2.a.j 483.a 1.a $4$ $3.857$ 4.4.15317.1 None \(2\) \(-4\) \(5\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
483.2.d.a 483.d 21.c $4$ $3.857$ \(\Q(i, \sqrt{5})\) None \(0\) \(-2\) \(-6\) \(6\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
483.2.d.b 483.d 21.c $4$ $3.857$ \(\Q(i, \sqrt{5})\) None \(0\) \(2\) \(6\) \(6\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
483.2.d.c 483.d 21.c $8$ $3.857$ \(\Q(\zeta_{16})\) None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{16}^{4}q^{2}+(\zeta_{16}+\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}+\cdots\)
483.2.d.d 483.d 21.c $44$ $3.857$ None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$
483.2.e.a 483.e 69.c $48$ $3.857$ None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
483.2.h.a 483.h 161.c $8$ $3.857$ 8.0.342102016.5 None \(-8\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-\beta _{1}q^{3}-q^{4}+(\beta _{4}-\beta _{5})q^{5}+\cdots\)
483.2.h.b 483.h 161.c $12$ $3.857$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{8}q^{2}-\beta _{5}q^{3}+(1-\beta _{7})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
483.2.h.c 483.h 161.c $12$ $3.857$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}+\beta _{9}q^{3}+(3+\beta _{7})q^{4}-\beta _{5}q^{5}+\cdots\)
483.2.i.a 483.i 7.c $2$ $3.857$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+(2-3\zeta_{6})q^{7}+\cdots\)
483.2.i.b 483.i 7.c $2$ $3.857$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(5\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+(2+\zeta_{6})q^{7}+\cdots\)
483.2.i.c 483.i 7.c $2$ $3.857$ \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(-1\) \(-5\) $\mathrm{SU}(2)[C_{3}]$ \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
483.2.i.d 483.i 7.c $2$ $3.857$ \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(3\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
483.2.i.e 483.i 7.c $4$ $3.857$ \(\Q(\sqrt{-3}, \sqrt{17})\) None \(1\) \(-2\) \(1\) \(10\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+(-2+\beta _{1}+\cdots)q^{4}+\cdots\)
483.2.i.f 483.i 7.c $12$ $3.857$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(6\) \(-3\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-\beta _{1}-\beta _{5})q^{2}+\beta _{7}q^{3}+(1+\beta _{4}+\cdots)q^{4}+\cdots\)
483.2.i.g 483.i 7.c $16$ $3.857$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-1\) \(-8\) \(-5\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{1}-\beta _{5})q^{2}+(-1-\beta _{4})q^{3}+(-2+\cdots)q^{4}+\cdots\)
483.2.i.h 483.i 7.c $20$ $3.857$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-3\) \(10\) \(5\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{1}+\beta _{4})q^{2}-\beta _{9}q^{3}+(-\beta _{1}-\beta _{8}+\cdots)q^{4}+\cdots\)
483.2.j.a 483.j 161.g $64$ $3.857$ None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
483.2.m.a 483.m 483.m $120$ $3.857$ None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
483.2.n.a 483.n 21.g $116$ $3.857$ None \(0\) \(0\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{6}]$
483.2.q.a 483.q 23.c $10$ $3.857$ \(\Q(\zeta_{22})\) None \(4\) \(-1\) \(1\) \(-1\) $\mathrm{SU}(2)[C_{11}]$ \(q+(-\zeta_{22}^{2}+\zeta_{22}^{3}+\zeta_{22}^{5}-\zeta_{22}^{6}+\cdots)q^{2}+\cdots\)
483.2.q.b 483.q 23.c $10$ $3.857$ \(\Q(\zeta_{22})\) None \(5\) \(-1\) \(-5\) \(-1\) $\mathrm{SU}(2)[C_{11}]$ \(q+(\zeta_{22}-\zeta_{22}^{2}-\zeta_{22}^{4}-\zeta_{22}^{6}+\zeta_{22}^{7}+\cdots)q^{2}+\cdots\)
483.2.q.c 483.q 23.c $20$ $3.857$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-4\) \(-2\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{11}]$ \(q+(-\beta _{2}-\beta _{6})q^{2}+\beta _{12}q^{3}+(-\beta _{5}+\cdots)q^{4}+\cdots\)
483.2.q.d 483.q 23.c $60$ $3.857$ None \(-1\) \(6\) \(-13\) \(-6\) $\mathrm{SU}(2)[C_{11}]$
483.2.q.e 483.q 23.c $60$ $3.857$ None \(-1\) \(6\) \(5\) \(6\) $\mathrm{SU}(2)[C_{11}]$
483.2.q.f 483.q 23.c $80$ $3.857$ None \(1\) \(-8\) \(13\) \(8\) $\mathrm{SU}(2)[C_{11}]$
483.2.r.a 483.r 161.k $320$ $3.857$ None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{22}]$
483.2.u.a 483.u 69.g $480$ $3.857$ None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{22}]$
483.2.v.a 483.v 483.v $600$ $3.857$ None \(0\) \(0\) \(0\) \(-18\) $\mathrm{SU}(2)[C_{22}]$
483.2.y.a 483.y 161.m $320$ $3.857$ None \(2\) \(-16\) \(-2\) \(2\) $\mathrm{SU}(2)[C_{33}]$
483.2.y.b 483.y 161.m $320$ $3.857$ None \(2\) \(16\) \(-2\) \(2\) $\mathrm{SU}(2)[C_{33}]$
483.2.bb.a 483.bb 483.ab $1200$ $3.857$ None \(0\) \(-27\) \(0\) \(-36\) $\mathrm{SU}(2)[C_{66}]$
483.2.bc.a 483.bc 483.ac $1200$ $3.857$ None \(0\) \(-9\) \(0\) \(-44\) $\mathrm{SU}(2)[C_{66}]$
483.2.bf.a 483.bf 161.o $640$ $3.857$ None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{66}]$
483.3.b.a 483.b 3.b $88$ $13.161$ None \(0\) \(8\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
483.3.f.a 483.f 23.b $48$ $13.161$ None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
483.3.g.a 483.g 7.b $60$ $13.161$ None \(0\) \(0\) \(0\) \(-16\) $\mathrm{SU}(2)[C_{2}]$
483.4.a.a 483.a 1.a $3$ $28.498$ 3.3.3877.1 None \(-4\) \(9\) \(2\) \(-21\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{2}+3q^{3}+(1+4\beta _{1}+\beta _{2})q^{4}+\cdots\)
483.4.a.b 483.a 1.a $4$ $28.498$ 4.4.8184789.1 None \(2\) \(12\) \(-23\) \(-28\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{2}+3q^{3}+(3+\beta _{1})q^{4}+(-6+\cdots)q^{5}+\cdots\)
483.4.a.c 483.a 1.a $7$ $28.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-6\) \(21\) \(-41\) \(49\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(3-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
483.4.a.d 483.a 1.a $7$ $28.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-2\) \(-21\) \(-11\) \(-49\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{4}+\beta _{5})q^{4}+\cdots\)
Next   Download to