## Results (1-50 of 68 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1183.1.b.a $6$ $0.590$ 6.0.153664.1 $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-\beta _{5}q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$$
1183.1.d.a $3$ $0.590$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$3$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{7}+(-1-\beta _{2})q^{8}+\cdots$$
1183.1.d.b $3$ $0.590$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$-3$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{7}+(1+\beta _{2})q^{8}+\cdots$$
1183.1.n.a $6$ $0.590$ 6.0.64827.1 $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$3$$ $$q+(-1+\beta _{1}+\beta _{4}+\beta _{5})q^{2}+(-\beta _{3}+\cdots)q^{4}+\cdots$$
1183.1.n.b $6$ $0.590$ 6.0.64827.1 $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$-3$$ $$q+(1-\beta _{1}-\beta _{4}-\beta _{5})q^{2}+(-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots$$
1183.1.t.a $12$ $0.590$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2}-\beta _{6})q^{2}+(-1+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots$$
1183.1.x.a $8$ $0.590$ $$\Q(\zeta_{24})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\zeta_{24}^{3}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{7}q^{5}+\cdots$$
1183.1.z.a $8$ $0.590$ $$\Q(\zeta_{24})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{11}q^{5}+\cdots$$
1183.1.bd.a $8$ $0.590$ $$\Q(\zeta_{24})$$ None None $$0$$ $$8$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}+q^{3}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{11}q^{6}+\cdots$$
1183.2.a.a $1$ $9.446$ $$\Q$$ None None $$0$$ $$-2$$ $$3$$ $$-1$$ $+$ $$q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+4q^{12}+\cdots$$
1183.2.a.b $1$ $9.446$ $$\Q$$ None None $$2$$ $$0$$ $$3$$ $$1$$ $-$ $$q+2q^{2}+2q^{4}+3q^{5}+q^{7}-3q^{9}+\cdots$$
1183.2.a.c $2$ $9.446$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$-3$$ $$-3$$ $$-2$$ $+$ $$q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots$$
1183.2.a.d $2$ $9.446$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-6$$ $$-2$$ $+$ $$q+\beta q^{2}+\beta q^{3}+(-3+\beta )q^{5}+2q^{6}+\cdots$$
1183.2.a.e $2$ $9.446$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $+$ $$q+\beta q^{2}+(1-\beta )q^{3}+q^{4}+\beta q^{5}+(-3+\cdots)q^{6}+\cdots$$
1183.2.a.f $2$ $9.446$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $-$ $$q+\beta q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(3+\cdots)q^{6}+\cdots$$
1183.2.a.g $2$ $9.446$ $$\Q(\sqrt{5})$$ None None $$3$$ $$-3$$ $$3$$ $$2$$ $-$ $$q+(1+\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots$$
1183.2.a.h $3$ $9.446$ 3.3.148.1 None None $$-2$$ $$0$$ $$-3$$ $$3$$ $+$ $$q+(-1+\beta _{1})q^{2}+\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1183.2.a.i $3$ $9.446$ 3.3.316.1 None None $$-1$$ $$-2$$ $$-2$$ $$3$$ $-$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
1183.2.a.j $3$ $9.446$ 3.3.148.1 None None $$2$$ $$0$$ $$3$$ $$-3$$ $-$ $$q+(1-\beta _{1})q^{2}+\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1183.2.a.k $4$ $9.446$ 4.4.27004.1 None None $$-1$$ $$1$$ $$-7$$ $$-4$$ $+$ $$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots$$
1183.2.a.l $4$ $9.446$ 4.4.27004.1 None None $$1$$ $$1$$ $$7$$ $$4$$ $-$ $$q+\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots$$
1183.2.a.m $6$ $9.446$ 6.6.7674048.1 None None $$-4$$ $$0$$ $$-6$$ $$6$$ $+$ $$q+(-1+\beta _{1})q^{2}-\beta _{4}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1183.2.a.n $6$ $9.446$ 6.6.1279733.1 None None $$-2$$ $$-4$$ $$-2$$ $$6$$ $+$ $$q+(-1+\beta _{2}+\beta _{4})q^{2}+(-\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots$$
1183.2.a.o $6$ $9.446$ 6.6.1279733.1 None None $$2$$ $$-4$$ $$2$$ $$-6$$ $+$ $$q+(1-\beta _{2}-\beta _{4})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+\cdots$$
1183.2.a.p $6$ $9.446$ 6.6.7674048.1 None None $$4$$ $$0$$ $$6$$ $$-6$$ $-$ $$q+(1-\beta _{1})q^{2}-\beta _{4}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1183.2.a.q $12$ $9.446$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$8$$ $$4$$ $$-12$$ $-$ $$q-\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(2-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots$$
1183.2.a.r $12$ $9.446$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$3$$ $$8$$ $$-4$$ $$12$$ $-$ $$q+\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(2-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots$$
1183.2.c.a $2$ $9.446$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-2q^{3}+2q^{4}-3iq^{5}-iq^{7}+q^{9}+\cdots$$
1183.2.c.b $2$ $9.446$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-2q^{4}+3iq^{5}-iq^{7}-3q^{9}+\cdots$$
1183.2.c.c $4$ $9.446$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{2})q^{3}+3\beta _{2}q^{4}+\cdots$$
1183.2.c.d $4$ $9.446$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}+(3\zeta_{8}+\zeta_{8}^{2})q^{5}+\cdots$$
1183.2.c.e $4$ $9.446$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(1+\zeta_{12}^{3})q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
1183.2.c.f $6$ $9.446$ 6.0.399424.1 None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(-1-\beta _{1}-\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
1183.2.c.g $8$ $9.446$ 8.0.$$\cdots$$.1 None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{4}q^{3}+(-1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
1183.2.c.h $12$ $9.446$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+(-\beta _{8}+\beta _{10}-\beta _{11})q^{2}+(-1-\beta _{4}+\cdots)q^{3}+\cdots$$
1183.2.c.i $12$ $9.446$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{7})q^{2}-\beta _{2}q^{3}+(-1-\beta _{4}+\cdots)q^{4}+\cdots$$
1183.2.c.j $24$ $9.446$ None None $$0$$ $$16$$ $$0$$ $$0$$
1183.2.e.a $2$ $9.446$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$3$$ $$-3$$ $$1$$ $$q-\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1183.2.e.b $2$ $9.446$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+(-2+3\zeta_{6})q^{7}+\cdots$$
1183.2.e.c $2$ $9.446$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$3$$ $$3$$ $$-1$$ $$q+\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1183.2.e.d $4$ $9.446$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-3$$ $$0$$ $$0$$ $$8$$ $$q+(-1-\beta _{1}-\beta _{3})q^{2}+(-2\beta _{1}-2\beta _{2}+\cdots)q^{3}+\cdots$$
1183.2.e.e $4$ $9.446$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{2}+(1-\zeta_{12}^{2})q^{3}+\cdots$$
1183.2.e.f $10$ $9.446$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$4$$ $$0$$ $$2$$ $$-1$$ $$q+(-\beta _{1}+\beta _{7})q^{2}+(-\beta _{4}+\beta _{9})q^{3}+\cdots$$
1183.2.e.g $12$ $9.446$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$1$$ $$-1$$ $$6$$ $$q+(\beta _{1}+\beta _{5}-\beta _{11})q^{2}-\beta _{3}q^{3}+(\beta _{6}+\cdots)q^{4}+\cdots$$
1183.2.e.h $12$ $9.446$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$2$$ $$1$$ $$1$$ $$-6$$ $$q+(-\beta _{1}-\beta _{5}+\beta _{11})q^{2}-\beta _{3}q^{3}+(\beta _{6}+\cdots)q^{4}+\cdots$$
1183.2.e.i $16$ $9.446$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}+(-1-\beta _{4}-\beta _{6})q^{3}+(-1+\cdots)q^{4}+\cdots$$
1183.2.e.j $24$ $9.446$ None None $$0$$ $$-6$$ $$0$$ $$0$$
1183.2.e.k $48$ $9.446$ None None $$-1$$ $$0$$ $$13$$ $$-3$$
1183.2.e.l $48$ $9.446$ None None $$1$$ $$0$$ $$-13$$ $$3$$
1183.4.a.a $1$ $69.799$ $$\Q$$ None None $$-5$$ $$2$$ $$-19$$ $$7$$ $-$ $$q-5q^{2}+2q^{3}+17q^{4}-19q^{5}-10q^{6}+\cdots$$