## Results (displaying matches 1-50 of 202) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
756.1.d.a $$2$$ $$0.377$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{5}-q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{17}+\cdots$$
756.1.d.b $$2$$ $$0.377$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(\zeta_{6}+\cdots)q^{19}+\cdots$$
756.1.h.a $$1$$ $$0.377$$ $$\Q$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$$
756.1.h.b $$1$$ $$0.377$$ $$\Q$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$$
756.1.h.c $$1$$ $$0.377$$ $$\Q$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$0$$ $$-1$$ $$1$$ $$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$$
756.1.h.d $$1$$ $$0.377$$ $$\Q$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
756.1.z.a $$2$$ $$0.377$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+(1-\zeta_{6}^{2})q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
756.1.bk.a $$2$$ $$0.377$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{7}+q^{13}-\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots$$
756.2.a.a $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $$-$$ $$q-3q^{5}+q^{7}-3q^{11}+2q^{13}+6q^{17}+\cdots$$
756.2.a.b $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $$+$$ $$q-3q^{5}+q^{7}+2q^{13}-3q^{17}-4q^{19}+\cdots$$
756.2.a.c $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{5}-q^{7}-2q^{11}-5q^{17}+2q^{19}+\cdots$$
756.2.a.d $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q+q^{5}-q^{7}+2q^{11}+5q^{17}+2q^{19}+\cdots$$
756.2.a.e $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$-$$ $$q+3q^{5}+q^{7}+2q^{13}+3q^{17}-4q^{19}+\cdots$$
756.2.a.f $$1$$ $$6.037$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$-$$ $$q+3q^{5}+q^{7}+3q^{11}+2q^{13}-6q^{17}+\cdots$$
756.2.a.g $$2$$ $$6.037$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-\beta q^{5}-q^{7}+\beta q^{11}+6q^{13}-2\beta q^{17}+\cdots$$
756.2.b.a $$4$$ $$6.037$$ $$\Q(\sqrt{-2}, \sqrt{7})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-2q^{4}+(\beta _{1}-\beta _{2})q^{5}-\beta _{3}q^{7}+\cdots$$
756.2.b.b $$4$$ $$6.037$$ $$\Q(\sqrt{-2}, \sqrt{7})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}-2q^{4}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots$$
756.2.b.c $$12$$ $$6.037$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta _{7}q^{2}+(1+\beta _{11})q^{4}-\beta _{8}q^{5}+(-\beta _{6}+\cdots)q^{7}+\cdots$$
756.2.b.d $$12$$ $$6.037$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+(\beta _{6}+\cdots)q^{7}+\cdots$$
756.2.b.e $$16$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{11}q^{5}+\beta _{6}q^{7}+\cdots$$
756.2.b.f $$16$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{14}q^{2}+\beta _{8}q^{4}+\beta _{10}q^{5}+\beta _{6}q^{7}+\cdots$$
756.2.e.a $$24$$ $$6.037$$ None None $$0$$ $$0$$ $$0$$ $$0$$
756.2.e.b $$24$$ $$6.037$$ None None $$0$$ $$0$$ $$0$$ $$0$$
756.2.f.a $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-6$$ $$4$$ $$q-3q^{5}+(2-\zeta_{6})q^{7}+3\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots$$
756.2.f.b $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$q+(-2-\zeta_{6})q^{7}+(1-2\zeta_{6})q^{13}+(5+\cdots)q^{19}+\cdots$$
756.2.f.c $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$6$$ $$4$$ $$q+3q^{5}+(2-\zeta_{6})q^{7}-3\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots$$
756.2.f.d $$4$$ $$6.037$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{2}q^{5}+(-1+\beta _{1})q^{7}+\beta _{3}q^{11}+\cdots$$
756.2.i.a $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$2$$ $$-5$$ $$q+(2-2\zeta_{6})q^{5}+(-2-\zeta_{6})q^{7}+4\zeta_{6}q^{11}+\cdots$$
756.2.i.b $$14$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$6$$ $$q-\beta _{3}q^{5}+(\beta _{5}+\beta _{12})q^{7}+\beta _{13}q^{11}+\cdots$$
756.2.j.a $$6$$ $$6.037$$ 6.0.309123.1 None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+(-1+\beta _{1}+\beta _{3})q^{5}-\beta _{3}q^{7}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
756.2.j.b $$6$$ $$6.037$$ 6.0.309123.1 None None $$0$$ $$0$$ $$1$$ $$3$$ $$q+(-\beta _{1}+\beta _{5})q^{5}+(1-\beta _{4})q^{7}+(1-2\beta _{2}+\cdots)q^{11}+\cdots$$
756.2.k.a $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-3+2\zeta_{6})q^{7}-7q^{13}-8\zeta_{6}q^{19}+\cdots$$
756.2.k.b $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-1-2\zeta_{6})q^{7}+5q^{13}-8\zeta_{6}q^{19}+\cdots$$
756.2.k.c $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $$q+(3-\zeta_{6})q^{7}+2q^{13}+\zeta_{6}q^{19}+(5+\cdots)q^{25}+\cdots$$
756.2.k.d $$4$$ $$6.037$$ $$\Q(\sqrt{-3}, \sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{1}q^{5}+(2+3\beta _{2})q^{7}+(-2\beta _{1}-2\beta _{3})q^{11}+\cdots$$
756.2.k.e $$6$$ $$6.037$$ 6.0.309123.1 None None $$0$$ $$0$$ $$-1$$ $$2$$ $$q+(\beta _{1}+\beta _{2}+\beta _{4}-\beta _{5})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$$
756.2.k.f $$6$$ $$6.037$$ 6.0.309123.1 None None $$0$$ $$0$$ $$1$$ $$2$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{4}+\beta _{5})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$$
756.2.l.a $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-4$$ $$4$$ $$q-2q^{5}+(3-2\zeta_{6})q^{7}-4q^{11}+(-3+\cdots)q^{13}+\cdots$$
756.2.l.b $$14$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$0$$ $$-4$$ $$-3$$ $$q+(\beta _{3}-\beta _{7})q^{5}-\beta _{5}q^{7}+(\beta _{9}-\beta _{13})q^{11}+\cdots$$
756.2.n.a $$4$$ $$6.037$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\zeta_{12}+\zeta_{12}^{2})q^{2}+(-2\zeta_{12}+\cdots)q^{4}+\cdots$$
756.2.n.b $$84$$ $$6.037$$ None None $$1$$ $$0$$ $$0$$ $$0$$
756.2.o.a $$88$$ $$6.037$$ None None $$3$$ $$0$$ $$0$$ $$0$$
756.2.t.a $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$q+(-3+\zeta_{6})q^{7}+(4-8\zeta_{6})q^{13}+(10+\cdots)q^{19}+\cdots$$
756.2.t.b $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(1+2\zeta_{6})q^{7}+(-3+6\zeta_{6})q^{13}+(-4+\cdots)q^{19}+\cdots$$
756.2.t.c $$2$$ $$6.037$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(3-2\zeta_{6})q^{7}+(1-2\zeta_{6})q^{13}+(4-2\zeta_{6})q^{19}+\cdots$$
756.2.t.d $$4$$ $$6.037$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$q+\beta _{1}q^{5}+(-2+\beta _{2})q^{7}+(2+4\beta _{2}+\cdots)q^{13}+\cdots$$
756.2.t.e $$12$$ $$6.037$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}+\beta _{10}q^{7}+(-\beta _{3}-\beta _{5})q^{11}+\cdots$$
756.2.w.a $$16$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\beta _{9}q^{5}+(\beta _{4}-\beta _{10})q^{7}-\beta _{15}q^{11}+\cdots$$
756.2.x.a $$16$$ $$6.037$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+(\beta _{1}-\beta _{15})q^{5}+(-\beta _{6}+\beta _{13})q^{7}+\cdots$$
756.2.ba.a $$72$$ $$6.037$$ None None $$0$$ $$0$$ $$0$$ $$0$$
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