## Results (1-50 of 95 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2280.1.t.a $$1$$ $$1.138$$ $$\Q$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-570})$$ $$\Q(\sqrt{6})$$ $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$$
2280.1.t.b $$1$$ $$1.138$$ $$\Q$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-570})$$ $$\Q(\sqrt{6})$$ $$-1$$ $$1$$ $$1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$$
2280.1.t.c $$1$$ $$1.138$$ $$\Q$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-570})$$ $$\Q(\sqrt{6})$$ $$1$$ $$-1$$ $$1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
2280.1.t.d $$1$$ $$1.138$$ $$\Q$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-570})$$ $$\Q(\sqrt{6})$$ $$1$$ $$1$$ $$-1$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$$
2280.1.t.e $$2$$ $$1.138$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{30})$$ $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}-q^{5}-q^{6}+iq^{8}+\cdots$$
2280.1.t.f $$2$$ $$1.138$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{190})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}+iq^{3}-q^{4}-iq^{5}+q^{6}+iq^{8}+\cdots$$
2280.1.t.g $$2$$ $$1.138$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{190})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}-iq^{5}+q^{6}-iq^{8}+\cdots$$
2280.1.t.h $$2$$ $$1.138$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{30})$$ $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots$$
2280.1.t.i $$4$$ $$1.138$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}-q^{5}+\cdots$$
2280.1.t.j $$4$$ $$1.138$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+q^{5}-\zeta_{8}^{2}q^{6}+\cdots$$
2280.1.cf.a $$4$$ $$1.138$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-\zeta_{12}^{5}q^{5}+\cdots$$
2280.1.cf.b $$4$$ $$1.138$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
2280.1.cs.a $$4$$ $$1.138$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}q^{5}+\cdots$$
2280.1.cs.b $$4$$ $$1.138$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}q^{5}+\cdots$$
2280.1.dj.a $$8$$ $$1.138$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}q^{5}+\cdots$$
2280.1.dj.b $$8$$ $$1.138$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots$$
2280.1.ea.a $$12$$ $$1.138$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{13}q^{2}+\zeta_{36}^{11}q^{3}-\zeta_{36}^{8}q^{4}+\cdots$$
2280.1.ea.b $$12$$ $$1.138$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{15}q^{2}+\zeta_{36}^{11}q^{3}-\zeta_{36}^{12}q^{4}+\cdots$$
2280.1.el.a $$12$$ $$1.138$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{7}q^{2}+\zeta_{36}^{17}q^{3}+\zeta_{36}^{14}q^{4}+\cdots$$
2280.1.el.b $$12$$ $$1.138$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{15}q^{2}+\zeta_{36}^{17}q^{3}-\zeta_{36}^{12}q^{4}+\cdots$$
2280.2.a.a $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}-6q^{17}+\cdots$$
2280.2.a.b $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q-q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
2280.2.a.c $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$$
2280.2.a.d $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots$$
2280.2.a.e $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$-$$ $$q+q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$$
2280.2.a.f $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q+q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$$
2280.2.a.g $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $$+$$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$$
2280.2.a.h $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$-$$ $$q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$
2280.2.a.i $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$4$$ $$-$$ $$q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$$
2280.2.a.j $$1$$ $$18.206$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$4$$ $$-$$ $$q+q^{3}+q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots$$
2280.2.a.k $$2$$ $$18.206$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$$
2280.2.a.l $$2$$ $$18.206$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots$$
2280.2.a.m $$2$$ $$18.206$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$-2$$ $$2$$ $$+$$ $$q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2280.2.a.n $$2$$ $$18.206$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$-2$$ $$2$$ $$-2$$ $$-$$ $$q-q^{3}+q^{5}+(-1+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots$$
2280.2.a.o $$2$$ $$18.206$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$-4$$ $$+$$ $$q+q^{3}-q^{5}+(-2+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots$$
2280.2.a.p $$2$$ $$18.206$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-2$$ $$6$$ $$-$$ $$q+q^{3}-q^{5}+(3+\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
2280.2.a.q $$2$$ $$18.206$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$-6$$ $$+$$ $$q+q^{3}+q^{5}+(-3+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2280.2.a.r $$3$$ $$18.206$$ 3.3.568.1 None None $$0$$ $$-3$$ $$-3$$ $$-2$$ $$-$$ $$q-q^{3}-q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
2280.2.a.s $$3$$ $$18.206$$ 3.3.316.1 None None $$0$$ $$-3$$ $$3$$ $$-2$$ $$+$$ $$q-q^{3}+q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2280.2.a.t $$3$$ $$18.206$$ 3.3.1016.1 None None $$0$$ $$3$$ $$-3$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots$$
2280.2.a.u $$3$$ $$18.206$$ 3.3.1772.1 None None $$0$$ $$3$$ $$3$$ $$0$$ $$-$$ $$q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(2+\beta _{2})q^{11}+\cdots$$
2280.2.j.a $$2$$ $$18.206$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{3}+(-2+i)q^{5}+4iq^{7}-q^{9}+\cdots$$
2280.2.j.b $$2$$ $$18.206$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1+2i)q^{5}+2iq^{7}-q^{9}+\cdots$$
2280.2.j.c $$2$$ $$18.206$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{3}+(-1-2i)q^{5}+2iq^{7}-q^{9}+\cdots$$
2280.2.j.d $$2$$ $$18.206$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{3}+(-1-2i)q^{5}+2iq^{7}-q^{9}+\cdots$$
2280.2.j.e $$2$$ $$18.206$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots$$
2280.2.j.f $$6$$ $$18.206$$ 6.0.350464.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}+(\beta _{1}-\beta _{4})q^{5}+(-\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots$$
2280.2.j.g $$10$$ $$18.206$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{6}q^{3}+(1-\beta _{2}-\beta _{4})q^{5}+(\beta _{6}+\beta _{9})q^{7}+\cdots$$
2280.2.j.h $$12$$ $$18.206$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+\beta _{10}q^{5}+\beta _{2}q^{7}-q^{9}-\beta _{8}q^{11}+\cdots$$
2280.2.j.i $$18$$ $$18.206$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{9}q^{3}+\beta _{2}q^{5}-\beta _{5}q^{7}-q^{9}-\beta _{3}q^{11}+\cdots$$