## Results (displaying matches 1-50 of 187) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
735.1.f.a $$1$$ $$0.367$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-q^{3}-q^{4}-q^{5}+q^{9}+q^{12}+q^{15}+\cdots$$
735.1.f.b $$1$$ $$0.367$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$1$$ $$1$$ $$0$$ $$q+q^{3}-q^{4}+q^{5}+q^{9}-q^{12}+q^{15}+\cdots$$
735.1.f.c $$2$$ $$0.367$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-\beta q^{2}-q^{3}+q^{4}+q^{5}+\beta q^{6}+q^{9}+\cdots$$
735.1.f.d $$2$$ $$0.367$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q-\beta q^{2}+q^{3}+q^{4}-q^{5}-\beta q^{6}+q^{9}+\cdots$$
735.1.o.a $$2$$ $$0.367$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+\cdots$$
735.1.o.b $$2$$ $$0.367$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+\cdots$$
735.1.o.c $$4$$ $$0.367$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
735.1.o.d $$4$$ $$0.367$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{2}q^{3}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
735.2.a.a $$1$$ $$5.869$$ $$\Q$$ None None $$-2$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots$$
735.2.a.b $$1$$ $$5.869$$ $$\Q$$ None None $$-2$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots$$
735.2.a.c $$1$$ $$5.869$$ $$\Q$$ None None $$-1$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+3q^{8}+\cdots$$
735.2.a.d $$1$$ $$5.869$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}-2q^{4}+q^{5}+q^{9}+2q^{12}+q^{13}+\cdots$$
735.2.a.e $$1$$ $$5.869$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-2q^{4}-q^{5}+q^{9}-2q^{12}-q^{13}+\cdots$$
735.2.a.f $$1$$ $$5.869$$ $$\Q$$ None None $$1$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots$$
735.2.a.g $$2$$ $$5.869$$ $$\Q(\sqrt{3})$$ None None $$-2$$ $$-2$$ $$2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}+q^{5}+\cdots$$
735.2.a.h $$2$$ $$5.869$$ $$\Q(\sqrt{3})$$ None None $$-2$$ $$2$$ $$-2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}+q^{3}+(2-2\beta )q^{4}-q^{5}+\cdots$$
735.2.a.i $$2$$ $$5.869$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}-2\beta q^{8}+\cdots$$
735.2.a.j $$2$$ $$5.869$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}-2\beta q^{8}+\cdots$$
735.2.a.k $$2$$ $$5.869$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q-\beta q^{2}+q^{3}+3q^{4}+q^{5}-\beta q^{6}-\beta q^{8}+\cdots$$
735.2.a.l $$2$$ $$5.869$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$-2$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots$$
735.2.a.m $$2$$ $$5.869$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots$$
735.2.a.n $$4$$ $$5.869$$ 4.4.4352.1 None None $$4$$ $$-4$$ $$4$$ $$0$$ $$-$$ $$q+(1+\beta _{1}-\beta _{3})q^{2}-q^{3}+(2+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
735.2.a.o $$4$$ $$5.869$$ 4.4.4352.1 None None $$4$$ $$4$$ $$-4$$ $$0$$ $$-$$ $$q+(1+\beta _{1}-\beta _{3})q^{2}+q^{3}+(2+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
735.2.b.a $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$-2$$ $$0$$ $$q+(1-2\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-q^{4}+\cdots$$
735.2.b.b $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$2$$ $$0$$ $$q+(1-2\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-q^{4}+q^{5}+\cdots$$
735.2.b.c $$8$$ $$5.869$$ 8.0.856615824.2 None None $$0$$ $$-1$$ $$8$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{3}q^{3}+(-1+\beta _{2})q^{4}+q^{5}+\cdots$$
735.2.b.d $$8$$ $$5.869$$ 8.0.856615824.2 None None $$0$$ $$1$$ $$-8$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(-1+\beta _{2})q^{4}-q^{5}+\cdots$$
735.2.b.e $$16$$ $$5.869$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$-4$$ $$16$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{7}q^{3}+(-\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$$
735.2.b.f $$16$$ $$5.869$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$4$$ $$-16$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{7}q^{3}+(-\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$$
735.2.d.a $$2$$ $$5.869$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-iq^{3}+q^{4}+(-1+2i)q^{5}+\cdots$$
735.2.d.b $$6$$ $$5.869$$ 6.0.350464.1 None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(-1+\beta _{3}+\beta _{5})q^{4}+\cdots$$
735.2.d.c $$8$$ $$5.869$$ 8.0.309760000.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{4}q^{3}+(-2+\beta _{6}-\beta _{7})q^{4}+\cdots$$
735.2.d.d $$8$$ $$5.869$$ 8.0.2058981376.2 None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{4}q^{3}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots$$
735.2.d.e $$8$$ $$5.869$$ 8.0.2058981376.2 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{6}q^{2}+\beta _{4}q^{3}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots$$
735.2.d.f $$8$$ $$5.869$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{4}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{3}q^{4}+(-\zeta_{24}^{2}+\cdots)q^{5}+\cdots$$
735.2.g.a $$16$$ $$5.869$$ 16.0.$$\cdots$$.5 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{5}q^{3}+(2-\beta _{8})q^{4}+\beta _{11}q^{5}+\cdots$$
735.2.g.b $$24$$ $$5.869$$ None None $$0$$ $$0$$ $$0$$ $$0$$
735.2.g.c $$32$$ $$5.869$$ None None $$0$$ $$0$$ $$0$$ $$0$$
735.2.i.a $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
735.2.i.b $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$1$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
735.2.i.c $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}-\zeta_{6}q^{5}+\cdots$$
735.2.i.d $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$-1$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
735.2.i.e $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$1$$ $$-1$$ $$0$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
735.2.i.f $$2$$ $$5.869$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$1$$ $$1$$ $$0$$ $$q+2\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
735.2.i.g $$4$$ $$5.869$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$-2$$ $$-2$$ $$0$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
735.2.i.h $$4$$ $$5.869$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$2$$ $$2$$ $$0$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}-\beta _{2}q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
735.2.i.i $$4$$ $$5.869$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$q-\beta _{2}q^{2}+\beta _{1}q^{3}+3\beta _{1}q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$$
735.2.i.j $$4$$ $$5.869$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(-1-\beta _{2})q^{5}+\beta _{3}q^{6}+\cdots$$
735.2.i.k $$4$$ $$5.869$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}+3\beta _{1}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
735.2.i.l $$4$$ $$5.869$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-2$$ $$2$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+\zeta_{12})q^{3}+\cdots$$
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