## Results (displaying matches 1-50 of 185) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
114.2.a.a $$1$$ $$0.910$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$4$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots$$
114.2.a.b $$1$$ $$0.910$$ $$\Q$$ None $$1$$ $$-1$$ $$2$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$$
114.2.a.c $$1$$ $$0.910$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$-4$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots$$
114.2.b.a $$2$$ $$0.910$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$-2$$ $$0$$ $$-8$$ $$q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots$$
114.2.b.b $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$3$$ $$0$$ $$2$$ $$q-q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(2-4\zeta_{6})q^{5}+\cdots$$
114.2.b.c $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$0$$ $$2$$ $$q+q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(2-4\zeta_{6})q^{5}+\cdots$$
114.2.b.d $$2$$ $$0.910$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$2$$ $$0$$ $$-8$$ $$q+q^{2}+(1+\beta )q^{3}+q^{4}-\beta q^{5}+(1+\beta )q^{6}+\cdots$$
114.2.e.a $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$4$$ $$-6$$ $$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.e.b $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$0$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.h.a $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$-6$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.h.b $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$6$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.h.c $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$-6$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.h.d $$2$$ $$0.910$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$6$$ $$-4$$ $$q+(1-\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
114.2.h.e $$4$$ $$0.910$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$4$$ $$0$$ $$8$$ $$q+(-1+\beta _{2})q^{2}+(1-\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots$$
114.2.h.f $$4$$ $$0.910$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$2$$ $$0$$ $$8$$ $$q+(1-\beta _{2})q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+\cdots$$
114.2.i.a $$6$$ $$0.910$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$-9$$ $$9$$ $$q+\zeta_{18}q^{2}+\zeta_{18}^{4}q^{3}+\zeta_{18}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots$$
114.2.i.b $$6$$ $$0.910$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$-3$$ $$3$$ $$q-\zeta_{18}q^{2}+\zeta_{18}^{4}q^{3}+\zeta_{18}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots$$
114.2.i.c $$6$$ $$0.910$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$3$$ $$-3$$ $$q-\zeta_{18}q^{2}-\zeta_{18}^{4}q^{3}+\zeta_{18}^{2}q^{4}+(1+\cdots)q^{5}+\cdots$$
114.2.i.d $$6$$ $$0.910$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$9$$ $$3$$ $$q+\zeta_{18}q^{2}-\zeta_{18}^{4}q^{3}+\zeta_{18}^{2}q^{4}+(1+\cdots)q^{5}+\cdots$$
114.2.l.a $$18$$ $$0.910$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{6}-\beta _{7})q^{2}+(\beta _{1}-\beta _{17})q^{3}+(\beta _{4}+\cdots)q^{4}+\cdots$$
114.2.l.b $$18$$ $$0.910$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+\beta _{5}q^{3}-\beta _{7}q^{4}+(\beta _{9}-\beta _{17})q^{5}+\cdots$$
114.3.c.a $$12$$ $$3.106$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$-4$$ $$0$$ $$-8$$ $$q+\beta _{5}q^{2}+\beta _{9}q^{3}-2q^{4}+\beta _{4}q^{5}+(1+\cdots)q^{6}+\cdots$$
114.3.d.a $$8$$ $$3.106$$ 8.0.$$\cdots$$.3 None $$0$$ $$0$$ $$4$$ $$-12$$ $$q+\beta _{5}q^{2}+\beta _{4}q^{3}-2q^{4}+(-\beta _{1}-\beta _{6}+\cdots)q^{5}+\cdots$$
114.3.f.a $$8$$ $$3.106$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$-12$$ $$-8$$ $$0$$ $$q+\beta _{6}q^{2}+(-1-\beta _{4})q^{3}+2\beta _{4}q^{4}+\cdots$$
114.3.f.b $$8$$ $$3.106$$ 8.0.$$\cdots$$.10 None $$0$$ $$12$$ $$4$$ $$-24$$ $$q-\beta _{5}q^{2}+(2-\beta _{4})q^{3}+(2-2\beta _{4})q^{4}+\cdots$$
114.3.g.a $$24$$ $$3.106$$ None $$0$$ $$-2$$ $$0$$ $$8$$
114.3.j.a $$12$$ $$3.106$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$18$$ $$q-\beta _{11}q^{2}+(2\beta _{2}-\beta _{8})q^{3}-2\beta _{4}q^{4}+\cdots$$
114.3.j.b $$24$$ $$3.106$$ None $$0$$ $$0$$ $$0$$ $$18$$
114.3.k.a $$84$$ $$3.106$$ None $$0$$ $$6$$ $$0$$ $$0$$
114.4.a.a $$1$$ $$6.726$$ $$\Q$$ None $$-2$$ $$-3$$ $$-19$$ $$9$$ $$+$$ $$q-2q^{2}-3q^{3}+4q^{4}-19q^{5}+6q^{6}+\cdots$$
114.4.a.b $$1$$ $$6.726$$ $$\Q$$ None $$-2$$ $$3$$ $$-7$$ $$-15$$ $$-$$ $$q-2q^{2}+3q^{3}+4q^{4}-7q^{5}-6q^{6}+\cdots$$
114.4.a.c $$1$$ $$6.726$$ $$\Q$$ None $$-2$$ $$3$$ $$12$$ $$4$$ $$+$$ $$q-2q^{2}+3q^{3}+4q^{4}+12q^{5}-6q^{6}+\cdots$$
114.4.a.d $$1$$ $$6.726$$ $$\Q$$ None $$2$$ $$-3$$ $$-11$$ $$-15$$ $$-$$ $$q+2q^{2}-3q^{3}+4q^{4}-11q^{5}-6q^{6}+\cdots$$
114.4.a.e $$2$$ $$6.726$$ $$\Q(\sqrt{17})$$ None $$4$$ $$-6$$ $$18$$ $$4$$ $$+$$ $$q+2q^{2}-3q^{3}+4q^{4}+(9+\beta )q^{5}-6q^{6}+\cdots$$
114.4.a.f $$2$$ $$6.726$$ $$\Q(\sqrt{273})$$ None $$4$$ $$6$$ $$11$$ $$9$$ $$+$$ $$q+2q^{2}+3q^{3}+4q^{4}+(6-\beta )q^{5}+6q^{6}+\cdots$$
114.4.b.a $$10$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-20$$ $$5$$ $$0$$ $$10$$ $$q-2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
114.4.b.b $$10$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$20$$ $$-5$$ $$0$$ $$10$$ $$q+2q^{2}-\beta _{3}q^{3}+4q^{4}+(\beta _{3}+\beta _{4})q^{5}+\cdots$$
114.4.e.a $$2$$ $$6.726$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$-2$$ $$-42$$ $$q+(2-2\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-4\zeta_{6}q^{4}+\cdots$$
114.4.e.b $$2$$ $$6.726$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$6$$ $$38$$ $$q+(2-2\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-4\zeta_{6}q^{4}+\cdots$$
114.4.e.c $$4$$ $$6.726$$ $$\Q(\sqrt{-3}, \sqrt{-10})$$ None $$-4$$ $$-6$$ $$-8$$ $$36$$ $$q-2\beta _{1}q^{2}-3\beta _{1}q^{3}+(-4+4\beta _{1})q^{4}+\cdots$$
114.4.e.d $$6$$ $$6.726$$ 6.0.627014547.1 None $$-6$$ $$9$$ $$-10$$ $$14$$ $$q-2\beta _{1}q^{2}+3\beta _{1}q^{3}+(-4+4\beta _{1})q^{4}+\cdots$$
114.4.e.e $$6$$ $$6.726$$ 6.0.6967728.1 None $$6$$ $$9$$ $$-2$$ $$-34$$ $$q+(2+2\beta _{3})q^{2}+(3+3\beta _{3})q^{3}+4\beta _{3}q^{4}+\cdots$$
114.4.h.a $$20$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-20$$ $$-4$$ $$0$$ $$-10$$ $$q+(-2-2\beta _{2})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+\cdots$$
114.4.h.b $$20$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$20$$ $$1$$ $$0$$ $$-10$$ $$q-2\beta _{1}q^{2}-\beta _{5}q^{3}+(-4-4\beta _{1})q^{4}+\cdots$$
114.4.i.a $$12$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$-15$$ $$42$$ $$q+(-2\beta _{3}-2\beta _{8})q^{2}-3\beta _{3}q^{3}-4\beta _{5}q^{4}+\cdots$$
114.4.i.b $$12$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$-9$$ $$12$$ $$q+(2\beta _{4}-2\beta _{7})q^{2}-3\beta _{4}q^{3}-4\beta _{8}q^{4}+\cdots$$
114.4.i.c $$18$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$0$$ $$0$$ $$9$$ $$-30$$ $$q+(-2\beta _{4}+2\beta _{6})q^{2}-3\beta _{4}q^{3}+(4\beta _{5}+\cdots)q^{4}+\cdots$$
114.4.i.d $$18$$ $$6.726$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$0$$ $$0$$ $$15$$ $$0$$ $$q+2\beta _{5}q^{2}-3\beta _{6}q^{3}+4\beta _{7}q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots$$
114.4.l.a $$60$$ $$6.726$$ None $$0$$ $$-6$$ $$0$$ $$0$$
114.4.l.b $$60$$ $$6.726$$ None $$0$$ $$9$$ $$0$$ $$0$$
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