## Results (displaying matches 1-50 of 147) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
104.1.h.a $$1$$ $$0.052$$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
104.1.h.b $$1$$ $$0.052$$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$-1$$ $$-1$$ $$-1$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$$
104.2.a.a $$1$$ $$0.830$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$5$$ $$-$$ $$q+q^{3}-q^{5}+5q^{7}-2q^{9}-2q^{11}+\cdots$$
104.2.a.b $$2$$ $$0.830$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$3$$ $$-1$$ $$-$$ $$q+\beta q^{3}+(2-\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots$$
104.2.b.a $$2$$ $$0.830$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$0$$ $$6$$ $$q+(-1+i)q^{2}-iq^{3}-2iq^{4}+3iq^{5}+\cdots$$
104.2.b.b $$4$$ $$0.830$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$-12$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+2\zeta_{12}^{2}q^{3}+(\zeta_{12}+\cdots)q^{4}+\cdots$$
104.2.b.c $$6$$ $$0.830$$ 6.0.399424.1 None None $$-2$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{1}q^{2}+(-\beta _{1}+\beta _{5})q^{3}+(\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$$
104.2.e.a $$2$$ $$0.830$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$q+(-1+i)q^{2}-iq^{3}-2iq^{4}+q^{5}+\cdots$$
104.2.e.b $$2$$ $$0.830$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$-2$$ $$0$$ $$q+(1+i)q^{2}+iq^{3}+2iq^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$$
104.2.e.c $$8$$ $$0.830$$ 8.0.4521217600.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(\beta _{2}+\beta _{5})q^{3}-\beta _{5}q^{4}-\beta _{6}q^{5}+\cdots$$
104.2.f.a $$4$$ $$0.830$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1+\beta _{3})q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
104.2.i.a $$2$$ $$0.830$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$4$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}+2q^{5}+\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots$$
104.2.i.b $$4$$ $$0.830$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-1$$ $$-6$$ $$1$$ $$q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots$$
104.2.m.a $$4$$ $$0.830$$ $$\Q(i, \sqrt{26})$$ None None $$-4$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\beta _{2})q^{2}-q^{3}+2\beta _{2}q^{4}-\beta _{3}q^{5}+\cdots$$
104.2.m.b $$20$$ $$0.830$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$2$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{14}q^{2}-\beta _{5}q^{3}-\beta _{2}q^{4}+\beta _{10}q^{5}+\cdots$$
104.2.o.a $$8$$ $$0.830$$ 8.0.195105024.2 None None $$0$$ $$2$$ $$0$$ $$-6$$ $$q+(-\beta _{2}+\beta _{4}-\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots$$
104.2.r.a $$24$$ $$0.830$$ None None $$-1$$ $$0$$ $$0$$ $$-2$$
104.2.s.a $$4$$ $$0.830$$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$-6$$ $$-8$$ $$-12$$ $$q+(-1+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
104.2.s.b $$4$$ $$0.830$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$6$$ $$8$$ $$-12$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(1+\zeta_{12}+\cdots)q^{3}+\cdots$$
104.2.s.c $$16$$ $$0.830$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$3$$ $$0$$ $$0$$ $$18$$ $$q+(\beta _{1}-\beta _{14})q^{2}+(\beta _{3}-\beta _{11})q^{3}+(-\beta _{2}+\cdots)q^{4}+\cdots$$
104.2.u.a $$48$$ $$0.830$$ None None $$-4$$ $$-4$$ $$0$$ $$0$$
104.3.g.a $$24$$ $$2.834$$ None None $$2$$ $$0$$ $$0$$ $$0$$
104.3.h.a $$3$$ $$2.834$$ 3.3.2808.1 $$\Q(\sqrt{-26})$$ None $$-6$$ $$0$$ $$0$$ $$0$$ $$q-2q^{2}+\beta _{2}q^{3}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots$$
104.3.h.b $$3$$ $$2.834$$ 3.3.2808.1 $$\Q(\sqrt{-26})$$ None $$6$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+\beta _{2}q^{3}+4q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots$$
104.3.h.c $$20$$ $$2.834$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{5}q^{3}+(-1+\beta _{4})q^{4}+\beta _{11}q^{5}+\cdots$$
104.3.j.a $$52$$ $$2.834$$ None None $$-2$$ $$0$$ $$0$$ $$-4$$
104.3.l.a $$2$$ $$2.834$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$4$$ $$10$$ $$-6$$ $$q+2q^{3}+(5+5i)q^{5}+(-3+3i)q^{7}+\cdots$$
104.3.l.b $$6$$ $$2.834$$ 6.0.891380736.2 None None $$0$$ $$-4$$ $$-14$$ $$16$$ $$q+(-1-\beta _{1}+\beta _{2})q^{3}+(-2+\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
104.3.l.c $$6$$ $$2.834$$ 6.0.195552256.1 None None $$0$$ $$0$$ $$2$$ $$6$$ $$q+\beta _{3}q^{3}-\beta _{4}q^{5}+(2+\beta _{1}-2\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots$$
104.3.n.a $$4$$ $$2.834$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$4$$ $$-8$$ $$0$$ $$0$$ $$q+(2-2\beta _{1})q^{2}+(-4+4\beta _{1})q^{3}-4\beta _{1}q^{4}+\cdots$$
104.3.n.b $$48$$ $$2.834$$ None None $$-5$$ $$6$$ $$0$$ $$0$$
104.3.p.a $$2$$ $$2.834$$ $$\Q(\sqrt{-3})$$ None None $$-4$$ $$-1$$ $$4$$ $$-5$$ $$q-2q^{2}+(-1+\zeta_{6})q^{3}+4q^{4}+2q^{5}+\cdots$$
104.3.p.b $$2$$ $$2.834$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$-1$$ $$-4$$ $$5$$ $$q-2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots$$
104.3.p.c $$4$$ $$2.834$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$3$$ $$4$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{2}+(2+2\beta _{2})q^{3}+(-\beta _{1}+\cdots)q^{4}+\cdots$$
104.3.p.d $$44$$ $$2.834$$ None None $$0$$ $$-4$$ $$0$$ $$0$$
104.3.v.a $$4$$ $$2.834$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$-2$$ $$q+(\zeta_{12}+2\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+(3+6\zeta_{12}+\cdots)q^{5}+\cdots$$
104.3.v.b $$4$$ $$2.834$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$6$$ $$16$$ $$q+(-2\zeta_{12}+2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+\cdots$$
104.3.v.c $$8$$ $$2.834$$ 8.0.$$\cdots$$.1 None None $$0$$ $$-8$$ $$-2$$ $$-36$$ $$q+(-2-\beta _{2}-2\beta _{3}+\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
104.3.v.d $$12$$ $$2.834$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$6$$ $$q+\beta _{7}q^{3}+(-1+\beta _{2}-\beta _{3}+2\beta _{4}+2\beta _{5}+\cdots)q^{5}+\cdots$$
104.3.x.a $$104$$ $$2.834$$ None None $$-4$$ $$0$$ $$0$$ $$-8$$
104.4.a.a $$1$$ $$6.136$$ $$\Q$$ None None $$0$$ $$1$$ $$-7$$ $$-21$$ $$-$$ $$q+q^{3}-7q^{5}-21q^{7}-26q^{9}+6q^{11}+\cdots$$
104.4.a.b $$1$$ $$6.136$$ $$\Q$$ None None $$0$$ $$5$$ $$19$$ $$-3$$ $$+$$ $$q+5q^{3}+19q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots$$
104.4.a.c $$2$$ $$6.136$$ $$\Q(\sqrt{73})$$ None None $$0$$ $$-3$$ $$-3$$ $$-25$$ $$-$$ $$q+(-1-\beta )q^{3}+(-3+3\beta )q^{5}+(-13+\cdots)q^{7}+\cdots$$
104.4.a.d $$2$$ $$6.136$$ $$\Q(\sqrt{321})$$ None None $$0$$ $$-1$$ $$-11$$ $$1$$ $$+$$ $$q-\beta q^{3}+(-6+\beta )q^{5}+(2-3\beta )q^{7}+\cdots$$
104.4.a.e $$3$$ $$6.136$$ 3.3.18257.1 None None $$0$$ $$0$$ $$-8$$ $$36$$ $$+$$ $$q-\beta _{1}q^{3}+(-3-2\beta _{1}-\beta _{2})q^{5}+(12+\cdots)q^{7}+\cdots$$
104.4.b.a $$2$$ $$6.136$$ $$\Q(\sqrt{-1})$$ None None $$4$$ $$0$$ $$0$$ $$-58$$ $$q+(2+2i)q^{2}-iq^{3}+8iq^{4}+11iq^{5}+\cdots$$
104.4.b.b $$34$$ $$6.136$$ None None $$-2$$ $$0$$ $$0$$ $$86$$
104.4.e.a $$40$$ $$6.136$$ None None $$0$$ $$0$$ $$0$$ $$0$$
104.4.f.a $$10$$ $$6.136$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$6$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{3}+\beta _{8}q^{5}-\beta _{7}q^{7}+(8-\beta _{1}+\cdots)q^{9}+\cdots$$
104.4.i.a $$2$$ $$6.136$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-8$$ $$-18$$ $$4$$ $$q+(-8+8\zeta_{6})q^{3}-9q^{5}+4\zeta_{6}q^{7}+\cdots$$
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