## Results (1-50 of 55 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1407.1.g.a $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-1407})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q-q^{2}-q^{3}+q^{6}-q^{7}+q^{8}+q^{9}+\cdots$$
1407.1.g.b $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-1407})$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $$q-q^{2}+q^{3}-q^{6}+q^{7}+q^{8}+q^{9}+\cdots$$
1407.1.g.c $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1407})$$ $$\Q(\sqrt{469})$$ $$0$$ $$-1$$ $$0$$ $$1$$ $$q-q^{3}-q^{4}+q^{7}+q^{9}+q^{12}-2q^{13}+\cdots$$
1407.1.g.d $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1407})$$ $$\Q(\sqrt{469})$$ $$0$$ $$1$$ $$0$$ $$-1$$ $$q+q^{3}-q^{4}-q^{7}+q^{9}-q^{12}+2q^{13}+\cdots$$
1407.1.g.e $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-1407})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots$$
1407.1.g.f $$1$$ $$0.702$$ $$\Q$$ $$\Q(\sqrt{-1407})$$ None $$1$$ $$1$$ $$0$$ $$1$$ $$q+q^{2}+q^{3}+q^{6}+q^{7}-q^{8}+q^{9}+\cdots$$
1407.1.g.g $$2$$ $$0.702$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-1407})$$ None $$0$$ $$-2$$ $$0$$ $$2$$ $$q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{6}+q^{7}-\beta q^{8}+\cdots$$
1407.1.g.h $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{469})$$ $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{6}^{2}q^{3}-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}-q^{7}+\cdots$$
1407.1.g.i $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{469})$$ $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{3}-q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\cdots$$
1407.1.g.j $$2$$ $$0.702$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-1407})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $$q-\beta q^{2}+q^{3}+2q^{4}-\beta q^{6}-q^{7}-\beta q^{8}+\cdots$$
1407.1.o.a $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
1407.1.u.a $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots$$
1407.1.bh.a $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots$$
1407.1.bm.a $$2$$ $$0.702$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q+\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
1407.1.bq.a $$10$$ $$0.702$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{22}q^{3}-\zeta_{22}^{4}q^{4}-\zeta_{22}^{6}q^{7}+\zeta_{22}^{2}q^{9}+\cdots$$
1407.1.bq.b $$10$$ $$0.702$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{22}q^{3}-\zeta_{22}^{4}q^{4}-\zeta_{22}^{9}q^{7}+\zeta_{22}^{2}q^{9}+\cdots$$
1407.1.cb.a $$20$$ $$0.702$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q-\zeta_{66}^{19}q^{3}+\zeta_{66}^{21}q^{4}-\zeta_{66}^{4}q^{7}+\cdots$$
1407.1.cg.a $$20$$ $$0.702$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-2$$ $$q+\zeta_{66}^{32}q^{3}-\zeta_{66}^{7}q^{4}+\zeta_{66}^{24}q^{7}+\cdots$$
1407.1.ct.a $$20$$ $$0.702$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{66}^{10}q^{3}+\zeta_{66}^{29}q^{4}+\zeta_{66}^{24}q^{7}+\cdots$$
1407.1.cz.a $$20$$ $$0.702$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{66}^{4}q^{3}-\zeta_{66}^{27}q^{4}-\zeta_{66}^{13}q^{7}+\cdots$$
1407.2.a.a $$1$$ $$11.235$$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots$$
1407.2.a.b $$1$$ $$11.235$$ $$\Q$$ None None $$-1$$ $$-1$$ $$4$$ $$-1$$ $$-$$ $$q-q^{2}-q^{3}-q^{4}+4q^{5}+q^{6}-q^{7}+\cdots$$
1407.2.a.c $$1$$ $$11.235$$ $$\Q$$ None None $$-1$$ $$1$$ $$2$$ $$-1$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$$
1407.2.a.d $$1$$ $$11.235$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$1$$ $$+$$ $$q+q^{3}-2q^{4}-2q^{5}+q^{7}+q^{9}-2q^{12}+\cdots$$
1407.2.a.e $$1$$ $$11.235$$ $$\Q$$ None None $$1$$ $$1$$ $$0$$ $$1$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots$$
1407.2.a.f $$1$$ $$11.235$$ $$\Q$$ None None $$2$$ $$1$$ $$4$$ $$-1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots$$
1407.2.a.g $$2$$ $$11.235$$ $$\Q(\sqrt{17})$$ None None $$1$$ $$2$$ $$4$$ $$-2$$ $$-$$ $$q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+2q^{5}+\beta q^{6}+\cdots$$
1407.2.a.h $$2$$ $$11.235$$ $$\Q(\sqrt{5})$$ None None $$2$$ $$-2$$ $$2$$ $$2$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$$
1407.2.a.i $$3$$ $$11.235$$ 3.3.148.1 None None $$0$$ $$3$$ $$-2$$ $$-3$$ $$+$$ $$q+\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$$
1407.2.a.j $$6$$ $$11.235$$ 6.6.3512000.1 None None $$0$$ $$-6$$ $$6$$ $$6$$ $$-$$ $$q+\beta _{3}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
1407.2.a.k $$7$$ $$11.235$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-3$$ $$-7$$ $$-2$$ $$-7$$ $$+$$ $$q-\beta _{2}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots$$
1407.2.a.l $$8$$ $$11.235$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-3$$ $$-8$$ $$-4$$ $$8$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots$$
1407.2.a.m $$9$$ $$11.235$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$1$$ $$9$$ $$-4$$ $$-9$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots$$
1407.2.a.n $$10$$ $$11.235$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$3$$ $$-10$$ $$-2$$ $$-10$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots$$
1407.2.a.o $$14$$ $$11.235$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$1$$ $$14$$ $$4$$ $$14$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots$$
1407.2.e.a $$46$$ $$11.235$$ None None $$0$$ $$-46$$ $$0$$ $$6$$
1407.2.e.b $$46$$ $$11.235$$ None None $$0$$ $$46$$ $$0$$ $$-6$$
1407.2.i.a $$2$$ $$11.235$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-1$$ $$-3$$ $$-5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1407.2.i.b $$2$$ $$11.235$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$1$$ $$3$$ $$-4$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1407.2.i.c $$2$$ $$11.235$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$-1$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1407.2.i.d $$2$$ $$11.235$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$1$$ $$-1$$ $$4$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
1407.2.i.e $$4$$ $$11.235$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$2$$ $$-2$$ $$4$$ $$q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
1407.2.i.f $$4$$ $$11.235$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$2$$ $$2$$ $$0$$ $$2$$ $$q+(1+\beta _{1}+\beta _{2})q^{2}-\beta _{2}q^{3}+(2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1407.2.i.g $$34$$ $$11.235$$ None None $$5$$ $$17$$ $$2$$ $$-2$$
1407.2.i.h $$38$$ $$11.235$$ None None $$5$$ $$-19$$ $$-2$$ $$2$$
1407.2.i.i $$42$$ $$11.235$$ None None $$-7$$ $$21$$ $$-2$$ $$0$$
1407.2.i.j $$46$$ $$11.235$$ None None $$-3$$ $$-23$$ $$2$$ $$12$$
1407.4.a.a $$18$$ $$83.016$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$-3$$ $$54$$ $$-29$$ $$126$$ $$-$$ $$q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$
1407.4.a.b $$21$$ $$83.016$$ None None $$-3$$ $$63$$ $$-13$$ $$-147$$ $$-$$
1407.4.a.c $$22$$ $$83.016$$ None None $$-5$$ $$-66$$ $$-3$$ $$-154$$ $$-$$