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## Results (1-50 of 172 matches)

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Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
950.2.a.a $$1$$ $$7.586$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$$
950.2.a.b $$1$$ $$7.586$$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$-3$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots$$
950.2.a.c $$1$$ $$7.586$$ $$\Q$$ None $$-1$$ $$3$$ $$0$$ $$5$$ $$-$$ $$q-q^{2}+3q^{3}+q^{4}-3q^{6}+5q^{7}-q^{8}+\cdots$$
950.2.a.d $$1$$ $$7.586$$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$$
950.2.a.e $$1$$ $$7.586$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$$
950.2.a.f $$2$$ $$7.586$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$2$$ $$0$$ $$6$$ $$-$$ $$q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots$$
950.2.a.g $$2$$ $$7.586$$ $$\Q(\sqrt{2})$$ None $$2$$ $$-2$$ $$0$$ $$-6$$ $$+$$ $$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots$$
950.2.a.h $$2$$ $$7.586$$ $$\Q(\sqrt{17})$$ None $$2$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+\beta q^{7}+q^{8}+\cdots$$
950.2.a.i $$3$$ $$7.586$$ 3.3.568.1 None $$-3$$ $$-2$$ $$0$$ $$-4$$ $$+$$ $$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.a.j $$3$$ $$7.586$$ 3.3.993.1 None $$-3$$ $$-2$$ $$0$$ $$-2$$ $$-$$ $$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.a.k $$3$$ $$7.586$$ 3.3.257.1 None $$-3$$ $$-2$$ $$0$$ $$-2$$ $$-$$ $$q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots$$
950.2.a.l $$3$$ $$7.586$$ 3.3.993.1 None $$3$$ $$2$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots$$
950.2.a.m $$3$$ $$7.586$$ 3.3.257.1 None $$3$$ $$2$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.a.n $$3$$ $$7.586$$ 3.3.568.1 None $$3$$ $$2$$ $$0$$ $$4$$ $$-$$ $$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots$$
950.2.b.a $$2$$ $$7.586$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-5iq^{7}+\cdots$$
950.2.b.b $$2$$ $$7.586$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\cdots$$
950.2.b.c $$2$$ $$7.586$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}-q^{6}+3iq^{7}+\cdots$$
950.2.b.d $$2$$ $$7.586$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots$$
950.2.b.e $$2$$ $$7.586$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{7}+iq^{8}+\cdots$$
950.2.b.f $$4$$ $$7.586$$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}+(1-\beta _{3})q^{6}+\cdots$$
950.2.b.g $$6$$ $$7.586$$ 6.0.4227136.2 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}+(\beta _{1}-\beta _{3}-\beta _{4})q^{3}-q^{4}+\cdots$$
950.2.b.h $$6$$ $$7.586$$ 6.0.63107136.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(\beta _{1}-\beta _{3})q^{3}-q^{4}+(1-\beta _{2}+\cdots)q^{6}+\cdots$$
950.2.e.a $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$0$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
950.2.e.b $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$0$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
950.2.e.c $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$8$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+4q^{7}+q^{8}+\cdots$$
950.2.e.d $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$0$$ $$8$$ $$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
950.2.e.e $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-8$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-4q^{7}-q^{8}+\cdots$$
950.2.e.f $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{7}-q^{8}+3\zeta_{6}q^{9}+\cdots$$
950.2.e.g $$2$$ $$7.586$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$0$$ $$4$$ $$q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
950.2.e.h $$4$$ $$7.586$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$-2$$ $$-1$$ $$0$$ $$-10$$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(-1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.e.i $$4$$ $$7.586$$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None $$-2$$ $$1$$ $$0$$ $$-4$$ $$q+(-1-\beta _{1})q^{2}+\beta _{3}q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
950.2.e.j $$4$$ $$7.586$$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None $$2$$ $$-1$$ $$0$$ $$4$$ $$q+(1+\beta _{1})q^{2}-\beta _{3}q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
950.2.e.k $$4$$ $$7.586$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$0$$ $$0$$ $$-4$$ $$q+(1+\beta _{2})q^{2}+\beta _{1}q^{3}+\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.e.l $$8$$ $$7.586$$ 8.0.$$\cdots$$.1 None $$-4$$ $$1$$ $$0$$ $$12$$ $$q+\beta _{5}q^{2}+\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.e.m $$8$$ $$7.586$$ 8.0.$$\cdots$$.1 None $$4$$ $$-1$$ $$0$$ $$-12$$ $$q-\beta _{5}q^{2}-\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.e.n $$10$$ $$7.586$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$-5$$ $$0$$ $$0$$ $$-10$$ $$q+\beta _{5}q^{2}+\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.e.o $$10$$ $$7.586$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$5$$ $$0$$ $$0$$ $$10$$ $$q-\beta _{5}q^{2}-\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$$
950.2.f.a $$4$$ $$7.586$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2})q^{7}+\cdots$$
950.2.f.b $$8$$ $$7.586$$ 8.0.3317760000.4 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}-\beta _{2}q^{4}+q^{6}+\beta _{3}q^{7}+\cdots$$
950.2.f.c $$16$$ $$7.586$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{9}q^{2}+\beta _{13}q^{3}+\beta _{1}q^{4}+\beta _{2}q^{6}+\cdots$$
950.2.f.d $$32$$ $$7.586$$ None $$0$$ $$0$$ $$0$$ $$0$$
950.2.h.a $$4$$ $$7.586$$ $$\Q(\zeta_{10})$$ None $$1$$ $$4$$ $$5$$ $$-12$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2+\cdots)q^{3}+\cdots$$
950.2.h.b $$40$$ $$7.586$$ None $$-10$$ $$5$$ $$0$$ $$-12$$
950.2.h.c $$44$$ $$7.586$$ None $$-11$$ $$1$$ $$-1$$ $$18$$
950.2.h.d $$44$$ $$7.586$$ None $$11$$ $$-1$$ $$-11$$ $$-10$$
950.2.h.e $$44$$ $$7.586$$ None $$11$$ $$-1$$ $$-5$$ $$28$$
950.2.j.a $$4$$ $$7.586$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{6}+\cdots$$
950.2.j.b $$4$$ $$7.586$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{6}+\cdots$$
950.2.j.c $$4$$ $$7.586$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+4\zeta_{12}^{3}q^{7}+\cdots$$
950.2.j.d $$4$$ $$7.586$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{7}-\zeta_{12}^{3}q^{8}+\cdots$$
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