## Results (displaying matches 1-50 of 134) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
387.1.b.a $$1$$ $$0.193$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-43})$$ $$\Q(\sqrt{129})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-2q^{13}+q^{16}+q^{25}-2q^{31}+\cdots$$
387.1.w.a $$6$$ $$0.193$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{14}q^{4}+(-\zeta_{14}^{2}-\zeta_{14}^{5})q^{7}+(-\zeta_{14}^{4}+\cdots)q^{13}+\cdots$$
387.2.a.a $$1$$ $$3.090$$ $$\Q$$ None None $$-1$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}-2q^{5}+3q^{8}+2q^{10}+\cdots$$
387.2.a.b $$1$$ $$3.090$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$-3$$ $$+$$ $$q-q^{2}-q^{4}+q^{5}-3q^{7}+3q^{8}-q^{10}+\cdots$$
387.2.a.c $$1$$ $$3.090$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q-2q^{4}+2q^{5}-2q^{7}+5q^{11}+3q^{13}+\cdots$$
387.2.a.d $$1$$ $$3.090$$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$-3$$ $$+$$ $$q+q^{2}-q^{4}-q^{5}-3q^{7}-3q^{8}-q^{10}+\cdots$$
387.2.a.e $$1$$ $$3.090$$ $$\Q$$ None None $$2$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}+4q^{5}+8q^{10}-3q^{11}+\cdots$$
387.2.a.f $$2$$ $$3.090$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$2$$ $$+$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(-1-\beta )q^{5}+\cdots$$
387.2.a.g $$2$$ $$3.090$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q-2q^{4}+2\beta q^{5}+2q^{7}-3\beta q^{11}+5q^{13}+\cdots$$
387.2.a.h $$2$$ $$3.090$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-4$$ $$-4$$ $$+$$ $$q+\beta q^{2}+(-2-\beta )q^{5}+(-2-\beta )q^{7}+\cdots$$
387.2.a.i $$3$$ $$3.090$$ 3.3.568.1 None None $$2$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(3+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
387.2.a.j $$4$$ $$3.090$$ $$\Q(\sqrt{5}, \sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+(\beta _{1}+\beta _{3})q^{2}+3q^{4}+\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots$$
387.2.d.a $$4$$ $$3.090$$ $$\Q(\sqrt{-2}, \sqrt{43})$$ $$\Q(\sqrt{-43})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-2q^{4}+\beta _{1}q^{11}+\beta _{3}q^{13}+4q^{16}+\cdots$$
387.2.d.b $$12$$ $$3.090$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(2+\beta _{3}+\beta _{6})q^{4}+\beta _{1}q^{5}+\cdots$$
387.2.e.a $$84$$ $$3.090$$ None None $$0$$ $$-5$$ $$5$$ $$3$$
387.2.f.a $$2$$ $$3.090$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-3$$ $$-2$$ $$3$$ $$q+(-1+\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
387.2.f.b $$4$$ $$3.090$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-1$$ $$6$$ $$-4$$ $$7$$ $$q-\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots$$
387.2.f.c $$38$$ $$3.090$$ None None $$-4$$ $$-7$$ $$-9$$ $$-7$$
387.2.f.d $$40$$ $$3.090$$ None None $$6$$ $$2$$ $$17$$ $$-3$$
387.2.g.a $$84$$ $$3.090$$ None None $$0$$ $$1$$ $$-10$$ $$-6$$
387.2.h.a $$2$$ $$3.090$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-1$$ $$-3$$ $$q-q^{2}-q^{4}+(-1+\zeta_{6})q^{5}-3\zeta_{6}q^{7}+\cdots$$
387.2.h.b $$2$$ $$3.090$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-2q^{4}+\zeta_{6}q^{7}+7\zeta_{6}q^{13}+4q^{16}+\cdots$$
387.2.h.c $$2$$ $$3.090$$ $$\Q(\sqrt{-3})$$ None None $$4$$ $$0$$ $$2$$ $$-3$$ $$q+2q^{2}+2q^{4}+(2-2\zeta_{6})q^{5}-3\zeta_{6}q^{7}+\cdots$$
387.2.h.d $$4$$ $$3.090$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$6$$ $$0$$ $$-2$$ $$4$$ $$q+(1-\beta _{2})q^{2}-3\beta _{2}q^{4}-2\beta _{1}q^{5}+(2\beta _{1}+\cdots)q^{7}+\cdots$$
387.2.h.e $$6$$ $$3.090$$ 6.0.64827.1 None None $$-2$$ $$0$$ $$-1$$ $$5$$ $$q-\beta _{2}q^{2}+(-1+\beta _{2}-\beta _{3})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
387.2.h.f $$6$$ $$3.090$$ 6.0.1783323.2 None None $$2$$ $$0$$ $$3$$ $$-3$$ $$q-\beta _{2}q^{2}+(1+\beta _{3})q^{4}+(\beta _{3}+\beta _{4}-\beta _{5})q^{5}+\cdots$$
387.2.h.g $$12$$ $$3.090$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(-\beta _{1}-\beta _{6})q^{2}+(2+\beta _{2}+\beta _{4}+\beta _{7}+\cdots)q^{4}+\cdots$$
387.2.k.a $$84$$ $$3.090$$ None None $$0$$ $$-3$$ $$-3$$ $$-3$$
387.2.l.a $$84$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$0$$
387.2.m.a $$84$$ $$3.090$$ None None $$0$$ $$-3$$ $$-6$$ $$0$$
387.2.t.a $$28$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$6$$
387.2.u.a $$6$$ $$3.090$$ $$\Q(\zeta_{14})$$ None None $$-3$$ $$0$$ $$-2$$ $$-16$$ $$q+(-\zeta_{14}-\zeta_{14}^{3}-\zeta_{14}^{5})q^{2}+(-1+\cdots)q^{4}+\cdots$$
387.2.u.b $$6$$ $$3.090$$ $$\Q(\zeta_{14})$$ None None $$5$$ $$0$$ $$-10$$ $$0$$ $$q+(\zeta_{14}-\zeta_{14}^{2}+\zeta_{14}^{3}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{2}+\cdots$$
387.2.u.c $$6$$ $$3.090$$ $$\Q(\zeta_{14})$$ None None $$5$$ $$0$$ $$3$$ $$0$$ $$q+(\zeta_{14}-\zeta_{14}^{2}+\zeta_{14}^{3}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{2}+\cdots$$
387.2.u.d $$12$$ $$3.090$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$0$$ $$10$$ $$14$$ $$q+(-1+\beta _{2}+\beta _{6}+\beta _{7}+\beta _{8}-\beta _{9}+\cdots)q^{2}+\cdots$$
387.2.u.e $$30$$ $$3.090$$ None None $$2$$ $$0$$ $$4$$ $$2$$
387.2.u.f $$48$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$-24$$
387.2.v.a $$96$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$0$$
387.2.y.a $$12$$ $$3.090$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-2\zeta_{21}^{3}q^{4}+(1+3\zeta_{21}-\zeta_{21}^{2}+\zeta_{21}^{3}+\cdots)q^{7}+\cdots$$
387.2.y.b $$36$$ $$3.090$$ None None $$-2$$ $$0$$ $$-3$$ $$-11$$
387.2.y.c $$36$$ $$3.090$$ None None $$10$$ $$0$$ $$17$$ $$6$$
387.2.y.d $$48$$ $$3.090$$ None None $$-2$$ $$0$$ $$-1$$ $$-16$$
387.2.y.e $$72$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$26$$
387.2.z.a $$504$$ $$3.090$$ None None $$-7$$ $$-15$$ $$3$$ $$-8$$
387.2.ba.a $$504$$ $$3.090$$ None None $$-7$$ $$-12$$ $$-9$$ $$-14$$
387.2.bb.a $$504$$ $$3.090$$ None None $$-7$$ $$-9$$ $$-12$$ $$4$$
387.2.bc.a $$168$$ $$3.090$$ None None $$0$$ $$0$$ $$0$$ $$-6$$
387.2.bj.a $$504$$ $$3.090$$ None None $$-21$$ $$-11$$ $$-15$$ $$0$$
387.2.bk.a $$504$$ $$3.090$$ None None $$-21$$ $$-14$$ $$-21$$ $$0$$
387.2.bl.a $$504$$ $$3.090$$ None None $$-21$$ $$-11$$ $$-18$$ $$-18$$
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