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## Results (1-50 of 196 matches)

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Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
196.1.c.a $$1$$ $$0.098$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots$$
196.1.g.a $$2$$ $$0.098$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{9}+\cdots$$
196.2.a.a $$1$$ $$1.565$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$0$$ $$+$$ $$q-q^{3}-3q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots$$
196.2.a.b $$1$$ $$1.565$$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$0$$ $$-$$ $$q+q^{3}+3q^{5}-2q^{9}-3q^{11}+2q^{13}+\cdots$$
196.2.a.c $$2$$ $$1.565$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+2\beta q^{3}-\beta q^{5}+5q^{9}+4q^{11}-3\beta q^{13}+\cdots$$
196.2.d.a $$4$$ $$1.565$$ 4.0.2048.2 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+2q^{4}+\beta _{1}q^{5}-2\beta _{2}q^{8}+\cdots$$
196.2.d.b $$4$$ $$1.565$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{12})q^{2}+\zeta_{12}^{3}q^{3}+2\zeta_{12}q^{4}+\cdots$$
196.2.d.c $$8$$ $$1.565$$ 8.0.$$\cdots$$.10 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{5})q^{2}+(-2\beta _{1}-\beta _{7})q^{3}+\cdots$$
196.2.e.a $$2$$ $$1.565$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$3$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+3\zeta_{6}q^{5}+2\zeta_{6}q^{9}+(3+\cdots)q^{11}+\cdots$$
196.2.e.b $$4$$ $$1.565$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{5}+5\beta _{2}q^{9}+\cdots$$
196.2.f.a $$4$$ $$1.565$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$6$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(-\zeta_{12}+\cdots)q^{3}+\cdots$$
196.2.f.b $$4$$ $$1.565$$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(3-\beta _{1}+\cdots)q^{8}+\cdots$$
196.2.f.c $$8$$ $$1.565$$ 8.0.339738624.1 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{2}-\beta _{5})q^{2}+2\beta _{4}q^{4}-\beta _{3}q^{5}+\cdots$$
196.2.f.d $$16$$ $$1.565$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{6}-\beta _{11})q^{2}+(2\beta _{1}+\beta _{3})q^{3}+\cdots$$
196.2.i.a $$24$$ $$1.565$$ None None $$0$$ $$0$$ $$0$$ $$0$$
196.2.j.a $$156$$ $$1.565$$ None None $$-5$$ $$0$$ $$-14$$ $$0$$
196.2.m.a $$60$$ $$1.565$$ None None $$0$$ $$1$$ $$3$$ $$4$$
196.2.p.a $$312$$ $$1.565$$ None None $$-13$$ $$0$$ $$-22$$ $$0$$
196.3.b.a $$2$$ $$5.341$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}+\zeta_{6}q^{5}+6q^{9}+15q^{11}+\cdots$$
196.3.b.b $$4$$ $$5.341$$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+(\beta _{1}+2\beta _{2})q^{5}+(-1-\beta _{3})q^{9}+\cdots$$
196.3.c.a $$2$$ $$5.341$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-2q^{2}+4q^{4}+\beta q^{5}-8q^{8}+9q^{9}+\cdots$$
196.3.c.b $$2$$ $$5.341$$ $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta )q^{2}+(-1+3\beta )q^{4}+(-7+5\beta )q^{8}+\cdots$$
196.3.c.c $$2$$ $$5.341$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+4q^{4}+\beta q^{5}+8q^{8}+9q^{9}+\cdots$$
196.3.c.d $$4$$ $$5.341$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{2})q^{2}+\beta _{1}q^{3}+(-2-2\beta _{2}+\cdots)q^{4}+\cdots$$
196.3.c.e $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{2})q^{2}+\beta _{3}q^{3}+(-2-2\beta _{2}+\cdots)q^{4}+\cdots$$
196.3.c.f $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-15})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(2\beta _{2}+\beta _{3})q^{3}+(-4+\beta _{1}+\cdots)q^{4}+\cdots$$
196.3.c.g $$6$$ $$5.341$$ 6.0.1539727.2 None None $$-1$$ $$0$$ $$4$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{4}q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
196.3.c.h $$6$$ $$5.341$$ 6.0.15582448.1 None None $$2$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{2}q^{3}+(1-\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots$$
196.3.c.i $$6$$ $$5.341$$ 6.0.15582448.1 None None $$2$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}+(1-\beta _{4})q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots$$
196.3.g.a $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+2\beta _{2}q^{2}+(-4-4\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$$
196.3.g.b $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+2\beta _{2}q^{2}+(\beta _{1}-\beta _{3})q^{3}+(-4-4\beta _{2}+\cdots)q^{4}+\cdots$$
196.3.g.c $$4$$ $$5.341$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-2+2\beta _{2})q^{2}-\beta _{1}q^{3}-4\beta _{2}q^{4}+\cdots$$
196.3.g.d $$4$$ $$5.341$$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q+(-2\beta _{2}+\beta _{3})q^{2}+(1-3\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
196.3.g.e $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(2+2\beta _{2})q^{2}+4\beta _{2}q^{4}+\beta _{1}q^{5}-8q^{8}+\cdots$$
196.3.g.f $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$8$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+(\beta _{1}-\beta _{3})q^{3}+4q^{4}+4\beta _{1}q^{5}+\cdots$$
196.3.g.g $$4$$ $$5.341$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$8$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$$
196.3.g.h $$8$$ $$5.341$$ 8.0.207360000.1 None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{2}-\beta _{3})q^{2}+(\beta _{1}-2\beta _{4}-2\beta _{5}-2\beta _{7})q^{3}+\cdots$$
196.3.g.i $$12$$ $$5.341$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{4}q^{3}+(-\beta _{1}+\beta _{5}+\beta _{9}+\cdots)q^{4}+\cdots$$
196.3.g.j $$12$$ $$5.341$$ 12.0.$$\cdots$$.1 None None $$1$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{6}q^{3}-\beta _{4}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$$
196.3.g.k $$12$$ $$5.341$$ 12.0.$$\cdots$$.1 None None $$1$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}-\beta _{4}q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
196.3.h.a $$2$$ $$5.341$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$-3$$ $$0$$ $$q+(-1-\zeta_{6})q^{3}+(-2+\zeta_{6})q^{5}-6\zeta_{6}q^{9}+\cdots$$
196.3.h.b $$4$$ $$5.341$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}+(-\beta _{2}+\beta _{3})q^{5}+(15+15\beta _{1}+\cdots)q^{9}+\cdots$$
196.3.h.c $$8$$ $$5.341$$ 8.0.339738624.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{3}+(-\beta _{1}+\beta _{2}-2\beta _{6})q^{5}+(1+\cdots)q^{9}+\cdots$$
196.3.k.a $$324$$ $$5.341$$ None None $$-5$$ $$0$$ $$-10$$ $$0$$
196.3.l.a $$60$$ $$5.341$$ None None $$0$$ $$0$$ $$0$$ $$-10$$
196.3.n.a $$108$$ $$5.341$$ None None $$0$$ $$-3$$ $$-3$$ $$14$$
196.3.o.a $$648$$ $$5.341$$ None None $$-13$$ $$0$$ $$-26$$ $$0$$
196.4.a.a $$1$$ $$11.564$$ $$\Q$$ None None $$0$$ $$-4$$ $$-20$$ $$0$$ $$+$$ $$q-4q^{3}-20q^{5}-11q^{9}+44q^{11}+\cdots$$
196.4.a.b $$1$$ $$11.564$$ $$\Q$$ None None $$0$$ $$-4$$ $$-6$$ $$0$$ $$+$$ $$q-4q^{3}-6q^{5}-11q^{9}-12q^{11}+82q^{13}+\cdots$$
196.4.a.c $$1$$ $$11.564$$ $$\Q$$ None None $$0$$ $$4$$ $$20$$ $$0$$ $$+$$ $$q+4q^{3}+20q^{5}-11q^{9}+44q^{11}+\cdots$$
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