## Results (1-50 of 390 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
576.1.b.a $2$ $0.287$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+q^{25}+iq^{31}-3q^{49}-q^{73}+\cdots$$
576.1.e.a $2$ $0.287$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}-\beta q^{17}-q^{25}+\beta q^{29}+2q^{37}+\cdots$$
576.1.g.a $1$ $0.287$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{13}-q^{25}-2q^{37}+q^{49}-2q^{61}+\cdots$$
576.1.n.a $4$ $0.287$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{2}q^{9}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{11}+\cdots$$
576.1.o.a $4$ $0.287$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{5}-\zeta_{12}q^{7}-q^{9}+\cdots$$
576.2.a.a $1$ $4.599$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $-$ $$q-4q^{5}+6q^{13}+8q^{17}+11q^{25}+\cdots$$
576.2.a.b $1$ $4.599$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}-4q^{11}+2q^{13}-2q^{17}-4q^{19}+\cdots$$
576.2.a.c $1$ $4.599$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}-6q^{13}-2q^{17}-q^{25}-10q^{29}+\cdots$$
576.2.a.d $1$ $4.599$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-2q^{5}+4q^{11}+2q^{13}-2q^{17}+4q^{19}+\cdots$$
576.2.a.e $1$ $4.599$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q-4q^{7}-2q^{13}-8q^{19}-5q^{25}-4q^{31}+\cdots$$
576.2.a.f $1$ $4.599$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}-2q^{13}+8q^{19}-5q^{25}+4q^{31}+\cdots$$
576.2.a.g $1$ $4.599$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $-$ $$q+2q^{5}-4q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots$$
576.2.a.h $1$ $4.599$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $-$ $$q+2q^{5}+4q^{7}-4q^{11}+2q^{13}+6q^{17}+\cdots$$
576.2.a.i $1$ $4.599$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}+6q^{13}-8q^{17}+11q^{25}+\cdots$$
576.2.c.a $2$ $4.599$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-4q^{13}+\beta q^{17}-13q^{25}+\cdots$$
576.2.c.b $2$ $4.599$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+4q^{13}+5\beta q^{17}+3q^{25}+\cdots$$
576.2.c.c $4$ $4.599$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+\zeta_{8}^{3}q^{11}-4q^{13}+\cdots$$
576.2.d.a $2$ $4.599$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{11}+6q^{17}+iq^{19}+5q^{25}+\cdots$$
576.2.d.b $4$ $4.599$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{5}-\zeta_{12}q^{7}-6q^{17}-\zeta_{12}^{3}q^{19}+\cdots$$
576.2.d.c $4$ $4.599$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{13}-\zeta_{12}^{3}q^{19}+\cdots$$
576.2.f.a $8$ $4.599$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{5}-\zeta_{24}q^{7}-\zeta_{24}^{6}q^{11}+\cdots$$
576.2.i.a $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$0$$ $$2$$ $$q+(-1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
576.2.i.b $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$4$$ $$2$$ $$q+(-1-\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots$$
576.2.i.c $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$q+(1-2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+\cdots$$
576.2.i.d $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$q+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(3-3\zeta_{6})q^{7}+\cdots$$
576.2.i.e $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$q+(-1+2\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$$
576.2.i.f $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$q+(1-2\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+\cdots$$
576.2.i.g $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$0$$ $$-2$$ $$q+(1+\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
576.2.i.h $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$4$$ $$-2$$ $$q+(1+\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots$$
576.2.i.i $4$ $4.599$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$-2$$ $$-2$$ $$q+(-1+\beta _{3})q^{3}-\beta _{2}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
576.2.i.j $4$ $4.599$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$-1$$ $$-1$$ $$-3$$ $$q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{2}+2\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots$$
576.2.i.k $4$ $4.599$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+(-1+\zeta_{12})q^{5}-\zeta_{12}^{2}q^{7}+\cdots$$
576.2.i.l $4$ $4.599$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$1$$ $$-1$$ $$3$$ $$q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{2}+2\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots$$
576.2.i.m $4$ $4.599$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$4$$ $$-2$$ $$2$$ $$q+(1-\beta _{3})q^{3}+(-1+\beta _{2})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
576.2.i.n $8$ $4.599$ 8.0.170772624.1 None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-\beta _{1}+\beta _{5})q^{3}+(-1+\beta _{4}-\beta _{7})q^{5}+\cdots$$
576.2.k.a $2$ $4.599$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+i)q^{5}+2iq^{7}+(1+i)q^{11}+(-1+\cdots)q^{13}+\cdots$$
576.2.k.b $8$ $4.599$ 8.0.18939904.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{4}+\beta _{6})q^{5}+(\beta _{1}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{7}+\cdots$$
576.2.k.c $8$ $4.599$ 8.0.629407744.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}+(\beta _{3}-\beta _{7})q^{7}+(-\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$$
576.2.l.a $16$ $4.599$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{5}-\beta _{9}q^{7}+(\beta _{2}+\beta _{14})q^{11}+\cdots$$
576.2.p.a $16$ $4.599$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$-6$$ $$0$$ $$q-\beta _{12}q^{3}+(\beta _{3}-\beta _{4}-\beta _{7})q^{5}+(\beta _{6}+\cdots)q^{7}+\cdots$$
576.2.p.b $16$ $4.599$ 16.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{3}+(\beta _{3}+\beta _{6})q^{5}+(-\beta _{14}-\beta _{15})q^{7}+\cdots$$
576.2.p.c $16$ $4.599$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{12}q^{3}+(-\beta _{3}+\beta _{4}+\beta _{7})q^{5}+(-\beta _{6}+\cdots)q^{7}+\cdots$$
576.2.r.a $4$ $4.599$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-12$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+(-2-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
576.2.r.b $4$ $4.599$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$12$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+(2+2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
576.2.r.c $8$ $4.599$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{4}+\zeta_{24}^{6})q^{3}+(-1+\zeta_{24}+\cdots)q^{9}+\cdots$$
576.2.r.d $8$ $4.599$ 8.0.12960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-2\beta _{1}-\beta _{3})q^{3}-\beta _{4}q^{5}+(-\beta _{5}+\cdots)q^{7}+\cdots$$
576.2.r.e $12$ $4.599$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-18$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{3}+(-2-\beta _{6})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
576.2.r.f $12$ $4.599$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$18$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{3}+(2+\beta _{6})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
576.2.s.a $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$6$$ $$6$$ $$q+(-1-\zeta_{6})q^{3}+(4-2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+\cdots$$
576.2.s.b $2$ $4.599$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+(-1+2\zeta_{6})q^{3}+(-2+\zeta_{6})q^{5}+(-1+\cdots)q^{7}+\cdots$$