## Results (1-50 of 196 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
855.1.g.a $1$ $0.427$ $$\Q$$ $$\Q(\sqrt{-19})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-q^{4}-q^{5}+2q^{11}+q^{16}+q^{19}+\cdots$$
855.1.g.b $2$ $0.427$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-19})$$ $$\Q(\sqrt{285})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}-iq^{5}+q^{16}-iq^{17}-q^{19}+\cdots$$
855.1.g.c $2$ $0.427$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta q^{2}+q^{4}+q^{5}-\beta q^{10}+\beta q^{13}+\cdots$$
855.1.m.a $4$ $0.427$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots$$
855.1.m.b $4$ $0.427$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+(1+\zeta_{8}^{2})q^{7}+\cdots$$
855.1.u.a $8$ $0.427$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{5}-\zeta_{24}^{11})q^{2}-\zeta_{24}^{4}q^{4}+\cdots$$
855.1.v.a $4$ $0.427$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\zeta_{12}^{4}+\cdots)q^{4}+\cdots$$
855.1.z.a $2$ $0.427$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-95})$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{6}+\cdots$$
855.1.z.b $2$ $0.427$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-95})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{6}+\cdots$$
855.1.z.c $4$ $0.427$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{2}-\zeta_{12}q^{3}+(-1+\cdots)q^{4}+\cdots$$
855.1.z.d $8$ $0.427$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{2}+\zeta_{24}^{11}q^{3}+(-\zeta_{24}^{2}+\cdots)q^{4}+\cdots$$
855.1.ck.a $8$ $0.427$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{7}q^{5}+\zeta_{24}^{3}q^{8}-\zeta_{24}^{8}q^{10}+\cdots$$
855.1.cw.a $12$ $0.427$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{36}^{7}+\zeta_{36}^{15})q^{2}+(\zeta_{36}^{4}-\zeta_{36}^{12}+\cdots)q^{4}+\cdots$$
855.2.a.a $1$ $6.827$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$4$$ $-$ $$q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots$$
855.2.a.b $1$ $6.827$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$-2$$ $+$ $$q-q^{2}-q^{4}+q^{5}-2q^{7}+3q^{8}-q^{10}+\cdots$$
855.2.a.c $1$ $6.827$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots$$
855.2.a.d $2$ $6.827$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $+$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+\beta q^{7}+\cdots$$
855.2.a.e $2$ $6.827$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$4$$ $-$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(2+\cdots)q^{7}+\cdots$$
855.2.a.f $2$ $6.827$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q+\beta q^{2}+q^{4}-q^{5}+(-1-\beta )q^{7}-\beta q^{8}+\cdots$$
855.2.a.g $2$ $6.827$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+\beta q^{2}+5q^{4}-q^{5}+(-1+\beta )q^{7}+\cdots$$
855.2.a.h $3$ $6.827$ 3.3.148.1 None None $$-1$$ $$0$$ $$-3$$ $$0$$ $+$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}-\beta _{2}q^{7}+\cdots$$
855.2.a.i $3$ $6.827$ 3.3.148.1 None None $$-1$$ $$0$$ $$-3$$ $$0$$ $-$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+2\beta _{2}q^{7}+\cdots$$
855.2.a.j $3$ $6.827$ 3.3.148.1 None None $$-1$$ $$0$$ $$3$$ $$-4$$ $+$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+(-2+\cdots)q^{7}+\cdots$$
855.2.a.k $3$ $6.827$ 3.3.148.1 None None $$1$$ $$0$$ $$-3$$ $$-4$$ $-$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+(-2+\cdots)q^{7}+\cdots$$
855.2.a.l $3$ $6.827$ 3.3.148.1 None None $$1$$ $$0$$ $$3$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+q^{5}-\beta _{2}q^{7}+\cdots$$
855.2.a.m $4$ $6.827$ 4.4.11344.1 None None $$2$$ $$0$$ $$4$$ $$4$$ $-$ $$q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+q^{5}+(2+\cdots)q^{7}+\cdots$$
855.2.b.a $4$ $6.827$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+q^{4}+(-\zeta_{8}+2\zeta_{8}^{3})q^{5}+\cdots$$
855.2.b.b $4$ $6.827$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+q^{4}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+3\zeta_{8}^{2}q^{8}+\cdots$$
855.2.b.c $8$ $6.827$ 8.0.8540717056.1 $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+\beta _{6}q^{5}+(-\beta _{2}-\beta _{3})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
855.2.b.d $24$ $6.827$ None None $$0$$ $$0$$ $$0$$ $$0$$
855.2.c.a $2$ $6.827$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}+q^{4}+(-2-i)q^{5}+2iq^{7}+\cdots$$
855.2.c.b $2$ $6.827$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}+q^{4}+(1+2i)q^{5}+2iq^{7}+\cdots$$
855.2.c.c $2$ $6.827$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{2}+q^{4}+(2-i)q^{5}-2iq^{7}+3iq^{8}+\cdots$$
855.2.c.d $6$ $6.827$ 6.0.16516096.1 None None $$0$$ $$0$$ $$1$$ $$0$$ $$q-\beta _{5}q^{2}+(-1+\beta _{2})q^{4}+(-\beta _{3}+\beta _{5})q^{5}+\cdots$$
855.2.c.e $6$ $6.827$ 6.0.350464.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(-\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots$$
855.2.c.f $12$ $6.827$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}+(-1+\beta _{2})q^{4}-\beta _{8}q^{5}-\beta _{6}q^{7}+\cdots$$
855.2.c.g $14$ $6.827$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots$$
855.2.h.a $24$ $6.827$ None None $$0$$ $$0$$ $$0$$ $$16$$
855.2.i.a $26$ $6.827$ None None $$3$$ $$-2$$ $$-13$$ $$10$$
855.2.i.b $30$ $6.827$ None None $$-3$$ $$2$$ $$15$$ $$2$$
855.2.i.c $42$ $6.827$ None None $$-3$$ $$-2$$ $$-21$$ $$-2$$
855.2.i.d $46$ $6.827$ None None $$3$$ $$2$$ $$23$$ $$-10$$
855.2.j.a $80$ $6.827$ None None $$-2$$ $$1$$ $$-80$$ $$1$$
855.2.j.b $80$ $6.827$ None None $$-2$$ $$1$$ $$80$$ $$1$$
855.2.k.a $2$ $6.827$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-1$$ $$-4$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
855.2.k.b $2$ $6.827$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-8$$ $$q+2\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}-4q^{7}-3q^{11}+\cdots$$
855.2.k.c $2$ $6.827$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$4$$ $$q+2\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+2q^{7}+3q^{11}+\cdots$$
855.2.k.d $2$ $6.827$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-1$$ $$-4$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
855.2.k.e $4$ $6.827$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-1$$ $$0$$ $$-2$$ $$12$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$$
855.2.k.f $4$ $6.827$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$2$$ $$0$$ $$-2$$ $$-4$$ $$q+(1+\beta _{1}+\beta _{2})q^{2}+(2\beta _{1}+\beta _{2}+2\beta _{3})q^{4}+\cdots$$