## Results (1-50 of 94 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
403.1.p.a $$4$$ $$0.201$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{6}-\zeta_{12}^{4}q^{7}+\cdots$$
403.2.a.a $$2$$ $$3.218$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$-4$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}-2q^{3}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots$$
403.2.a.b $$6$$ $$3.218$$ 6.6.5748973.1 None None $$-2$$ $$-5$$ $$-9$$ $$0$$ $$+$$ $$q+\beta _{4}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
403.2.a.c $$7$$ $$3.218$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$2$$ $$5$$ $$11$$ $$4$$ $$-$$ $$q+\beta _{3}q^{2}+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{4}+\beta _{6})q^{4}+\cdots$$
403.2.a.d $$8$$ $$3.218$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-5$$ $$-3$$ $$-15$$ $$-4$$ $$+$$ $$q+(-1+\beta _{1})q^{2}-\beta _{6}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
403.2.a.e $$8$$ $$3.218$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-1$$ $$7$$ $$11$$ $$-2$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
403.2.c.a $$2$$ $$3.218$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+2q^{3}+2q^{4}+4iq^{5}-2iq^{7}+q^{9}+\cdots$$
403.2.c.b $$32$$ $$3.218$$ None None $$0$$ $$-4$$ $$0$$ $$0$$
403.2.e.a $$70$$ $$3.218$$ None None $$-2$$ $$4$$ $$-2$$ $$8$$
403.2.f.a $$2$$ $$3.218$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-6$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-3q^{5}-2\zeta_{6}q^{7}+\cdots$$
403.2.f.b $$34$$ $$3.218$$ None None $$4$$ $$0$$ $$-14$$ $$6$$
403.2.f.c $$36$$ $$3.218$$ None None $$-5$$ $$0$$ $$12$$ $$-4$$
403.2.g.a $$70$$ $$3.218$$ None None $$-2$$ $$-8$$ $$-2$$ $$-4$$
403.2.h.a $$30$$ $$3.218$$ None None $$-6$$ $$-2$$ $$7$$ $$6$$
403.2.h.b $$34$$ $$3.218$$ None None $$6$$ $$-2$$ $$-5$$ $$-2$$
403.2.i.a $$68$$ $$3.218$$ None None $$-4$$ $$0$$ $$-4$$ $$8$$
403.2.k.a $$4$$ $$3.218$$ $$\Q(\zeta_{10})$$ None None $$-2$$ $$-1$$ $$-6$$ $$-7$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2})q^{2}+(1-2\zeta_{10}+\cdots)q^{3}+\cdots$$
403.2.k.b $$4$$ $$3.218$$ $$\Q(\zeta_{10})$$ None None $$-1$$ $$-2$$ $$-4$$ $$1$$ $$q-\zeta_{10}q^{2}+(-2+2\zeta_{10}-2\zeta_{10}^{2}+\cdots)q^{3}+\cdots$$
403.2.k.c $$4$$ $$3.218$$ $$\Q(\zeta_{10})$$ None None $$-1$$ $$3$$ $$6$$ $$-9$$ $$q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}^{3})q^{3}+\cdots$$
403.2.k.d $$48$$ $$3.218$$ None None $$7$$ $$-2$$ $$-12$$ $$25$$
403.2.k.e $$68$$ $$3.218$$ None None $$-3$$ $$-2$$ $$12$$ $$2$$
403.2.l.a $$2$$ $$3.218$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-3$$ $$-3$$ $$q+(1-2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots$$
403.2.l.b $$2$$ $$3.218$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$3$$ $$3$$ $$q+(-1+2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(1+\cdots)q^{5}+\cdots$$
403.2.l.c $$68$$ $$3.218$$ None None $$0$$ $$-6$$ $$0$$ $$0$$
403.2.r.a $$68$$ $$3.218$$ None None $$0$$ $$0$$ $$0$$ $$0$$
403.2.s.a $$70$$ $$3.218$$ None None $$-6$$ $$-2$$ $$0$$ $$0$$
403.2.v.a $$70$$ $$3.218$$ None None $$-6$$ $$4$$ $$0$$ $$-12$$
403.2.y.a $$136$$ $$3.218$$ None None $$0$$ $$-10$$ $$0$$ $$0$$
403.2.ba.a $$140$$ $$3.218$$ None None $$-8$$ $$0$$ $$-2$$ $$12$$
403.2.be.a $$4$$ $$3.218$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$6$$ $$-2$$ $$-10$$ $$q+(-1+\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+\cdots$$
403.2.be.b $$4$$ $$3.218$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$6$$ $$-2$$ $$8$$ $$q+(-\zeta_{12}-\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
403.2.be.c $$136$$ $$3.218$$ None None $$-4$$ $$-24$$ $$2$$ $$-2$$
403.2.bf.a $$140$$ $$3.218$$ None None $$-8$$ $$-6$$ $$-2$$ $$-12$$
403.2.bg.a $$144$$ $$3.218$$ None None $$-8$$ $$0$$ $$-8$$ $$-16$$
403.2.bi.a $$120$$ $$3.218$$ None None $$6$$ $$2$$ $$13$$ $$-16$$
403.2.bi.b $$136$$ $$3.218$$ None None $$-6$$ $$2$$ $$-15$$ $$-8$$
403.2.bj.a $$280$$ $$3.218$$ None None $$-3$$ $$3$$ $$-8$$ $$-1$$
403.2.bk.a $$280$$ $$3.218$$ None None $$-3$$ $$-9$$ $$-8$$ $$-13$$
403.2.bl.a $$8$$ $$3.218$$ $$\Q(\zeta_{15})$$ None None $$-4$$ $$-5$$ $$-24$$ $$-3$$ $$q+(-2+\zeta_{15}+\zeta_{15}^{2}-2\zeta_{15}^{3}+2\zeta_{15}^{4}+\cdots)q^{2}+\cdots$$
403.2.bl.b $$280$$ $$3.218$$ None None $$1$$ $$0$$ $$-8$$ $$-2$$
403.2.bn.a $$272$$ $$3.218$$ None None $$-6$$ $$-20$$ $$-16$$ $$-18$$
403.2.bp.a $$280$$ $$3.218$$ None None $$-9$$ $$-9$$ $$0$$ $$-3$$
403.2.bs.a $$288$$ $$3.218$$ None None $$-9$$ $$-1$$ $$0$$ $$-15$$
403.2.bt.a $$280$$ $$3.218$$ None None $$-9$$ $$-3$$ $$0$$ $$-15$$
403.2.bz.a $$288$$ $$3.218$$ None None $$0$$ $$-16$$ $$0$$ $$0$$
403.2.cb.a $$576$$ $$3.218$$ None None $$-12$$ $$-10$$ $$-32$$ $$-4$$
403.2.cc.a $$560$$ $$3.218$$ None None $$-12$$ $$-4$$ $$-8$$ $$-8$$
403.2.cd.a $$576$$ $$3.218$$ None None $$-12$$ $$-28$$ $$-8$$ $$-16$$
403.2.ch.a $$560$$ $$3.218$$ None None $$-12$$ $$-10$$ $$-8$$ $$-32$$
403.3.b.a $$1$$ $$10.981$$ $$\Q$$ $$\Q(\sqrt{-403})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4q^{4}+9q^{9}-9q^{11}+13q^{13}+2^{4}q^{16}+\cdots$$