## Results (displaying matches 1-50 of 228) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
70.2.a.a $$1$$ $$0.559$$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-3q^{9}+\cdots$$
70.2.c.a $$4$$ $$0.559$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}-q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
70.2.e.a $$2$$ $$0.559$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$1$$ $$1$$ $$q-\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
70.2.e.b $$2$$ $$0.559$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$2$$ $$1$$ $$-4$$ $$q-\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
70.2.e.c $$2$$ $$0.559$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
70.2.e.d $$2$$ $$0.559$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$2$$ $$-1$$ $$-4$$ $$q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
70.2.g.a $$8$$ $$0.559$$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{16}^{6}q^{2}+(\zeta_{16}-\zeta_{16}^{3})q^{3}-\zeta_{16}^{4}q^{4}+\cdots$$
70.2.i.a $$4$$ $$0.559$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}q^{2}+(-3\zeta_{12}+3\zeta_{12}^{3})q^{3}+\cdots$$
70.2.i.b $$4$$ $$0.559$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
70.2.k.a $$16$$ $$0.559$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$-12$$ $$8$$ $$q+(-\beta _{7}-\beta _{15})q^{2}+(-\beta _{4}+\beta _{13})q^{3}+\cdots$$
70.3.b.a $$8$$ $$1.907$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{6}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+2q^{4}-\beta _{2}q^{5}+\cdots$$
70.3.d.a $$8$$ $$1.907$$ 8.0.$$\cdots$$.6 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-\beta _{5}q^{3}-2q^{4}+(\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots$$
70.3.f.a $$4$$ $$1.907$$ $$\Q(i, \sqrt{14})$$ None $$-4$$ $$4$$ $$12$$ $$0$$ $$q+(-1+\beta _{2})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots$$
70.3.f.b $$8$$ $$1.907$$ 8.0.$$\cdots$$.20 None $$8$$ $$4$$ $$-4$$ $$0$$ $$q+(1+\beta _{3})q^{2}+(1+\beta _{1}-\beta _{3})q^{3}+2\beta _{3}q^{4}+\cdots$$
70.3.h.a $$16$$ $$1.907$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$-6$$ $$0$$ $$q+\beta _{10}q^{2}+\beta _{1}q^{3}+2\beta _{4}q^{4}+(-\beta _{6}+\cdots)q^{5}+\cdots$$
70.3.j.a $$8$$ $$1.907$$ 8.0.3317760000.3 None $$0$$ $$12$$ $$0$$ $$-12$$ $$q+(-\beta _{3}-\beta _{5})q^{2}+(1-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots$$
70.3.l.a $$8$$ $$1.907$$ 8.0.3317760000.2 None $$4$$ $$-4$$ $$12$$ $$-4$$ $$q+(1+\beta _{2}-\beta _{4})q^{2}+(-\beta _{2}+2\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots$$
70.3.l.b $$8$$ $$1.907$$ 8.0.303595776.1 None $$4$$ $$2$$ $$-6$$ $$-12$$ $$q+(1-\beta _{3}+\beta _{4})q^{2}+(-\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{3}+\cdots$$
70.3.l.c $$16$$ $$1.907$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-8$$ $$2$$ $$-2$$ $$12$$ $$q+(-1-\beta _{4}+\beta _{8})q^{2}+(-\beta _{3}-\beta _{10}+\cdots)q^{3}+\cdots$$
70.4.a.a $$1$$ $$4.130$$ $$\Q$$ None $$-2$$ $$-8$$ $$-5$$ $$-7$$ $$+$$ $$q-2q^{2}-8q^{3}+4q^{4}-5q^{5}+2^{4}q^{6}+\cdots$$
70.4.a.b $$1$$ $$4.130$$ $$\Q$$ None $$-2$$ $$-3$$ $$5$$ $$-7$$ $$-$$ $$q-2q^{2}-3q^{3}+4q^{4}+5q^{5}+6q^{6}+\cdots$$
70.4.a.c $$1$$ $$4.130$$ $$\Q$$ None $$-2$$ $$-1$$ $$-5$$ $$7$$ $$-$$ $$q-2q^{2}-q^{3}+4q^{4}-5q^{5}+2q^{6}+\cdots$$
70.4.a.d $$1$$ $$4.130$$ $$\Q$$ None $$-2$$ $$4$$ $$5$$ $$7$$ $$+$$ $$q-2q^{2}+4q^{3}+4q^{4}+5q^{5}-8q^{6}+\cdots$$
70.4.a.e $$1$$ $$4.130$$ $$\Q$$ None $$2$$ $$5$$ $$5$$ $$-7$$ $$+$$ $$q+2q^{2}+5q^{3}+4q^{4}+5q^{5}+10q^{6}+\cdots$$
70.4.a.f $$1$$ $$4.130$$ $$\Q$$ None $$2$$ $$7$$ $$-5$$ $$7$$ $$+$$ $$q+2q^{2}+7q^{3}+4q^{4}-5q^{5}+14q^{6}+\cdots$$
70.4.c.a $$2$$ $$4.130$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$20$$ $$0$$ $$q+2iq^{2}+7iq^{3}-4q^{4}+(10+5i)q^{5}+\cdots$$
70.4.c.b $$6$$ $$4.130$$ 6.0.$$\cdots$$.1 None $$0$$ $$0$$ $$-16$$ $$0$$ $$q+2\beta _{3}q^{2}+(-2\beta _{3}+\beta _{5})q^{3}-4q^{4}+\cdots$$
70.4.e.a $$2$$ $$4.130$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$-1$$ $$5$$ $$35$$ $$q-2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots$$
70.4.e.b $$2$$ $$4.130$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-10$$ $$5$$ $$28$$ $$q+2\zeta_{6}q^{2}+(-10+10\zeta_{6})q^{3}+(-4+\cdots)q^{4}+\cdots$$
70.4.e.c $$2$$ $$4.130$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$1$$ $$5$$ $$17$$ $$q+2\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots$$
70.4.e.d $$4$$ $$4.130$$ $$\Q(\sqrt{-3}, \sqrt{46})$$ None $$4$$ $$2$$ $$-10$$ $$6$$ $$q-2\beta _{2}q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+(-4+\cdots)q^{4}+\cdots$$
70.4.e.e $$6$$ $$4.130$$ 6.0.$$\cdots$$.2 None $$-6$$ $$-4$$ $$-15$$ $$14$$ $$q+(-2+2\beta _{3})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+\cdots$$
70.4.g.a $$24$$ $$4.130$$ None $$0$$ $$0$$ $$0$$ $$4$$
70.4.i.a $$24$$ $$4.130$$ None $$0$$ $$0$$ $$-8$$ $$0$$
70.4.k.a $$48$$ $$4.130$$ None $$0$$ $$0$$ $$48$$ $$-4$$
70.5.b.a $$8$$ $$7.236$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$132$$ $$q-\beta _{1}q^{2}+(\beta _{2}-\beta _{4}-\beta _{5})q^{3}+8q^{4}+\cdots$$
70.5.d.a $$16$$ $$7.236$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{4}q^{3}-8q^{4}-\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots$$
70.5.f.a $$12$$ $$7.236$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-24$$ $$-20$$ $$8$$ $$0$$ $$q+(-2-2\beta _{1})q^{2}+(-2+2\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
70.5.f.b $$12$$ $$7.236$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$24$$ $$-20$$ $$40$$ $$0$$ $$q+(2+2\beta _{1})q^{2}+(-2+2\beta _{1}-\beta _{2})q^{3}+\cdots$$
70.5.h.a $$32$$ $$7.236$$ None $$0$$ $$0$$ $$54$$ $$0$$
70.5.j.a $$24$$ $$7.236$$ None $$0$$ $$36$$ $$0$$ $$76$$
70.5.l.a $$32$$ $$7.236$$ None $$-32$$ $$-8$$ $$-10$$ $$-34$$
70.5.l.b $$32$$ $$7.236$$ None $$32$$ $$8$$ $$-26$$ $$14$$
70.6.a.a $$1$$ $$11.227$$ $$\Q$$ None $$-4$$ $$-23$$ $$25$$ $$49$$ $$+$$ $$q-4q^{2}-23q^{3}+2^{4}q^{4}+5^{2}q^{5}+92q^{6}+\cdots$$
70.6.a.b $$1$$ $$11.227$$ $$\Q$$ None $$-4$$ $$-9$$ $$25$$ $$-49$$ $$-$$ $$q-4q^{2}-9q^{3}+2^{4}q^{4}+5^{2}q^{5}+6^{2}q^{6}+\cdots$$
70.6.a.c $$1$$ $$11.227$$ $$\Q$$ None $$-4$$ $$-3$$ $$-25$$ $$49$$ $$-$$ $$q-4q^{2}-3q^{3}+2^{4}q^{4}-5^{2}q^{5}+12q^{6}+\cdots$$
70.6.a.d $$1$$ $$11.227$$ $$\Q$$ None $$-4$$ $$11$$ $$-25$$ $$-49$$ $$+$$ $$q-4q^{2}+11q^{3}+2^{4}q^{4}-5^{2}q^{5}-44q^{6}+\cdots$$
70.6.a.e $$1$$ $$11.227$$ $$\Q$$ None $$4$$ $$-17$$ $$25$$ $$-49$$ $$+$$ $$q+4q^{2}-17q^{3}+2^{4}q^{4}+5^{2}q^{5}-68q^{6}+\cdots$$
70.6.a.f $$1$$ $$11.227$$ $$\Q$$ None $$4$$ $$-11$$ $$-25$$ $$49$$ $$+$$ $$q+4q^{2}-11q^{3}+2^{4}q^{4}-5^{2}q^{5}-44q^{6}+\cdots$$
70.6.a.g $$2$$ $$11.227$$ $$\Q(\sqrt{3369})$$ None $$8$$ $$3$$ $$-50$$ $$-98$$ $$-$$ $$q+4q^{2}+(2-\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots$$
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