## Results (displaying matches 1-50 of 71) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1155.1.e.a $$2$$ $$0.576$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-35})$$, $$\Q(\sqrt{-231})$$ $$\Q(\sqrt{165})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+q^{4}-iq^{5}+iq^{7}-q^{9}-q^{11}+\cdots$$
1155.1.e.b $$2$$ $$0.576$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-35})$$, $$\Q(\sqrt{-231})$$ $$\Q(\sqrt{165})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+q^{4}-iq^{5}-iq^{7}-q^{9}+q^{11}+\cdots$$
1155.1.e.c $$4$$ $$0.576$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-231})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}^{2}+\zeta_{12}^{4})q^{2}+\zeta_{12}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$$
1155.1.e.d $$4$$ $$0.576$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-231})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{2}+\zeta_{12}^{3}q^{3}+\cdots$$
1155.1.ca.a $$8$$ $$0.576$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{5}q^{3}+\zeta_{20}^{4}q^{4}-\zeta_{20}^{3}q^{5}+\cdots$$
1155.1.ca.b $$8$$ $$0.576$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{7}q^{3}+\zeta_{20}^{4}q^{4}-\zeta_{20}^{3}q^{5}+\cdots$$
1155.2.a.a $$1$$ $$9.223$$ $$\Q$$ None None $$-2$$ $$-1$$ $$1$$ $$1$$ $$+$$ $$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+q^{7}+\cdots$$
1155.2.a.b $$1$$ $$9.223$$ $$\Q$$ None None $$-2$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}-q^{7}+\cdots$$
1155.2.a.c $$1$$ $$9.223$$ $$\Q$$ None None $$-2$$ $$1$$ $$1$$ $$1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{7}+\cdots$$
1155.2.a.d $$1$$ $$9.223$$ $$\Q$$ None None $$-1$$ $$-1$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
1155.2.a.e $$1$$ $$9.223$$ $$\Q$$ None None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$$
1155.2.a.f $$1$$ $$9.223$$ $$\Q$$ None None $$-1$$ $$1$$ $$1$$ $$1$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
1155.2.a.g $$1$$ $$9.223$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $$+$$ $$q-q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}+q^{11}+\cdots$$
1155.2.a.h $$1$$ $$9.223$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-q^{11}+\cdots$$
1155.2.a.i $$1$$ $$9.223$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-1$$ $$+$$ $$q+q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}-q^{11}+\cdots$$
1155.2.a.j $$1$$ $$9.223$$ $$\Q$$ None None $$1$$ $$-1$$ $$-1$$ $$1$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots$$
1155.2.a.k $$1$$ $$9.223$$ $$\Q$$ None None $$1$$ $$-1$$ $$1$$ $$1$$ $$+$$ $$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
1155.2.a.l $$1$$ $$9.223$$ $$\Q$$ None None $$1$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
1155.2.a.m $$1$$ $$9.223$$ $$\Q$$ None None $$1$$ $$1$$ $$1$$ $$1$$ $$-$$ $$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
1155.2.a.n $$1$$ $$9.223$$ $$\Q$$ None None $$2$$ $$-1$$ $$-1$$ $$-1$$ $$+$$ $$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}-q^{7}+\cdots$$
1155.2.a.o $$2$$ $$9.223$$ $$\Q(\sqrt{17})$$ None None $$-1$$ $$-2$$ $$2$$ $$-2$$ $$+$$ $$q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots$$
1155.2.a.p $$2$$ $$9.223$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$-2$$ $$-$$ $$q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}-q^{7}-2\beta q^{8}+\cdots$$
1155.2.a.q $$2$$ $$9.223$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$2$$ $$2$$ $$2$$ $$-$$ $$q+\beta q^{2}+q^{3}+4q^{4}+q^{5}+\beta q^{6}+q^{7}+\cdots$$
1155.2.a.r $$2$$ $$9.223$$ $$\Q(\sqrt{3})$$ None None $$2$$ $$-2$$ $$-2$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}-q^{3}+(2+2\beta )q^{4}-q^{5}+\cdots$$
1155.2.a.s $$3$$ $$9.223$$ 3.3.316.1 None None $$1$$ $$-3$$ $$3$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
1155.2.a.t $$3$$ $$9.223$$ 3.3.316.1 None None $$1$$ $$3$$ $$3$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$$
1155.2.a.u $$4$$ $$9.223$$ 4.4.13448.1 None None $$0$$ $$4$$ $$-4$$ $$-4$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
1155.2.a.v $$4$$ $$9.223$$ 4.4.7232.1 None None $$2$$ $$-4$$ $$4$$ $$4$$ $$-$$ $$q-\beta _{2}q^{2}-q^{3}+(1-\beta _{2}-\beta _{3})q^{4}+q^{5}+\cdots$$
1155.2.a.w $$5$$ $$9.223$$ 5.5.352076.1 None None $$1$$ $$5$$ $$-5$$ $$5$$ $$-$$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$$
1155.2.c.a $$2$$ $$9.223$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}+(-2+i)q^{5}+\cdots$$
1155.2.c.b $$2$$ $$9.223$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}+(-2-i)q^{5}+\cdots$$
1155.2.c.c $$6$$ $$9.223$$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{3}q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
1155.2.c.d $$6$$ $$9.223$$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{3}q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
1155.2.c.e $$20$$ $$9.223$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{13}q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
1155.2.c.f $$20$$ $$9.223$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{11}q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
1155.2.i.a $$8$$ $$9.223$$ 8.0.303595776.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{5})q^{2}+\beta _{4}q^{3}+(-2-\beta _{7})q^{4}+\cdots$$
1155.2.i.b $$8$$ $$9.223$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{4}-\zeta_{24}^{5})q^{2}-\zeta_{24}^{3}q^{3}+(-\zeta_{24}^{2}+\cdots)q^{4}+\cdots$$
1155.2.i.c $$16$$ $$9.223$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{8}q^{2}+\beta _{9}q^{3}+(-2-\beta _{3})q^{4}-\beta _{9}q^{5}+\cdots$$
1155.2.i.d $$32$$ $$9.223$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1155.2.k.a $$48$$ $$9.223$$ None None $$0$$ $$-48$$ $$4$$ $$0$$
1155.2.k.b $$48$$ $$9.223$$ None None $$0$$ $$48$$ $$-4$$ $$0$$
1155.2.l.a $$4$$ $$9.223$$ $$\Q(\zeta_{8})$$ None None $$-4$$ $$4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{3})q^{2}+(1+\zeta_{8}^{2})q^{3}+(1+\cdots)q^{4}+\cdots$$
1155.2.l.b $$4$$ $$9.223$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(1-\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(-2\zeta_{8}+\cdots)q^{6}+\cdots$$
1155.2.l.c $$4$$ $$9.223$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(1-\zeta_{8}^{2})q^{3}+\zeta_{8}q^{5}+(-2\zeta_{8}+\cdots)q^{6}+\cdots$$
1155.2.l.d $$4$$ $$9.223$$ $$\Q(\zeta_{8})$$ None None $$4$$ $$4$$ $$0$$ $$0$$ $$q+(1-\zeta_{8}^{3})q^{2}+(1+\zeta_{8}^{2})q^{3}+(1-2\zeta_{8}^{3})q^{4}+\cdots$$
1155.2.l.e $$40$$ $$9.223$$ None None $$-4$$ $$-4$$ $$0$$ $$0$$
1155.2.l.f $$40$$ $$9.223$$ None None $$4$$ $$-4$$ $$0$$ $$0$$
1155.3.b.a $$96$$ $$31.471$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1155.4.a.a $$1$$ $$68.147$$ $$\Q$$ None None $$-3$$ $$-3$$ $$-5$$ $$7$$ $$-$$ $$q-3q^{2}-3q^{3}+q^{4}-5q^{5}+9q^{6}+\cdots$$
1155.4.a.b $$1$$ $$68.147$$ $$\Q$$ None None $$-3$$ $$-3$$ $$-5$$ $$7$$ $$-$$ $$q-3q^{2}-3q^{3}+q^{4}-5q^{5}+9q^{6}+\cdots$$
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