## Results (displaying matches 1-50 of 82) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
124.1.i.a $$4$$ $$0.062$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
124.2.a.a $$1$$ $$0.990$$ $$\Q$$ None None $$0$$ $$-2$$ $$-3$$ $$-1$$ $$+$$ $$q-2q^{3}-3q^{5}-q^{7}+q^{9}-6q^{11}+\cdots$$
124.2.a.b $$1$$ $$0.990$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$3$$ $$-$$ $$q+q^{5}+3q^{7}-3q^{9}+6q^{11}-4q^{13}+\cdots$$
124.2.d.a $$4$$ $$0.990$$ $$\Q(i, \sqrt{6})$$ None None $$-4$$ $$0$$ $$4$$ $$0$$ $$q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}-2\beta _{1}q^{4}+\cdots$$
124.2.d.b $$4$$ $$0.990$$ $$\Q(\sqrt{6}, \sqrt{-7})$$ None None $$2$$ $$0$$ $$-8$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{3}q^{3}+(-2-\beta _{1})q^{4}-2q^{5}+\cdots$$
124.2.d.c $$6$$ $$0.990$$ 6.0.21717639.1 $$\Q(\sqrt{-31})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{3}q^{4}+(\beta _{3}+\beta _{4}-\beta _{5})q^{5}+\cdots$$
124.2.e.a $$6$$ $$0.990$$ 6.0.954288.1 None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$q+(-\beta _{4}+\beta _{5})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
124.2.f.a $$4$$ $$0.990$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$-3$$ $$8$$ $$1$$ $$q+(-1+\zeta_{10}^{3})q^{3}+2q^{5}+(\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
124.2.f.b $$4$$ $$0.990$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$5$$ $$-6$$ $$7$$ $$q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+(-1+\cdots)q^{5}+\cdots$$
124.2.g.a $$28$$ $$0.990$$ None None $$-4$$ $$0$$ $$-2$$ $$0$$
124.2.j.a $$8$$ $$0.990$$ $$\Q(\zeta_{20})$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-1+\zeta_{20}^{2}-\zeta_{20}^{3}-\zeta_{20}^{4}+\zeta_{20}^{6}+\cdots)q^{2}+\cdots$$
124.2.j.b $$48$$ $$0.990$$ None None $$-1$$ $$0$$ $$-12$$ $$0$$
124.2.m.a $$24$$ $$0.990$$ None None $$0$$ $$-1$$ $$1$$ $$-9$$
124.2.p.a $$112$$ $$0.990$$ None None $$-6$$ $$0$$ $$-8$$ $$0$$
124.3.b.a $$30$$ $$3.379$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$
124.3.c.a $$2$$ $$3.379$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-12$$ $$-20$$ $$q-\zeta_{6}q^{3}-6q^{5}-10q^{7}-3q^{9}+5\zeta_{6}q^{11}+\cdots$$
124.3.c.b $$4$$ $$3.379$$ 4.0.63368.1 None None $$0$$ $$0$$ $$18$$ $$6$$ $$q+\beta _{2}q^{3}+(4+\beta _{3})q^{5}+(2-\beta _{3})q^{7}+\cdots$$
124.3.h.a $$10$$ $$3.379$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$3$$ $$3$$ $$1$$ $$q+\beta _{5}q^{3}+(-\beta _{1}-\beta _{6})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
124.3.i.a $$60$$ $$3.379$$ None None $$-4$$ $$0$$ $$-2$$ $$0$$
124.3.k.a $$24$$ $$3.379$$ None None $$0$$ $$0$$ $$-6$$ $$-6$$
124.3.l.a $$120$$ $$3.379$$ None None $$-3$$ $$0$$ $$-16$$ $$0$$
124.3.n.a $$240$$ $$3.379$$ None None $$-6$$ $$0$$ $$-8$$ $$0$$
124.3.o.a $$40$$ $$3.379$$ None None $$0$$ $$-3$$ $$-3$$ $$19$$
124.4.a.a $$4$$ $$7.316$$ 4.4.841724.1 None None $$0$$ $$-4$$ $$-14$$ $$-12$$ $$-$$ $$q+(-1-\beta _{3})q^{3}+(-3-\beta _{1}-\beta _{2}+2\beta _{3})q^{5}+\cdots$$
124.4.a.b $$4$$ $$7.316$$ 4.4.4000044.1 None None $$0$$ $$2$$ $$6$$ $$16$$ $$+$$ $$q+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{3})q^{5}+(4+\beta _{1}+\cdots)q^{7}+\cdots$$
124.4.d.a $$2$$ $$7.316$$ $$\Q(\sqrt{-31})$$ $$\Q(\sqrt{-31})$$ None $$1$$ $$0$$ $$-4$$ $$0$$ $$q+\beta q^{2}+(-8+\beta )q^{4}-2q^{5}+(6-12\beta )q^{7}+\cdots$$
124.4.d.b $$4$$ $$7.316$$ $$\Q(\sqrt{-3}, \sqrt{-31})$$ $$\Q(\sqrt{-31})$$ None $$-1$$ $$0$$ $$4$$ $$0$$ $$q+(-1-\beta _{1}-\beta _{3})q^{2}+(4+\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots$$
124.4.d.c $$40$$ $$7.316$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$
124.4.e.a $$2$$ $$7.316$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$5$$ $$15$$ $$-29$$ $$q+(5-5\zeta_{6})q^{3}+15\zeta_{6}q^{5}+(-29+29\zeta_{6})q^{7}+\cdots$$
124.4.e.b $$6$$ $$7.316$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None None $$0$$ $$-9$$ $$-3$$ $$45$$ $$q+(-3-\beta _{1}-\beta _{2}+3\beta _{3})q^{3}+(2\beta _{1}+\cdots)q^{5}+\cdots$$
124.4.e.c $$8$$ $$7.316$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$0$$ $$-16$$ $$-32$$ $$q-\beta _{6}q^{3}+(-\beta _{3}-4\beta _{4}-\beta _{6}+\beta _{7})q^{5}+\cdots$$
124.4.f.a $$32$$ $$7.316$$ None None $$0$$ $$2$$ $$8$$ $$-34$$
124.4.g.a $$92$$ $$7.316$$ None None $$-4$$ $$0$$ $$-2$$ $$0$$
124.4.j.a $$184$$ $$7.316$$ None None $$-3$$ $$0$$ $$-16$$ $$0$$
124.4.m.a $$64$$ $$7.316$$ None None $$0$$ $$4$$ $$4$$ $$46$$
124.4.p.a $$368$$ $$7.316$$ None None $$-6$$ $$0$$ $$-8$$ $$0$$
124.5.b.a $$60$$ $$12.818$$ None None $$6$$ $$0$$ $$24$$ $$0$$
124.5.c.a $$10$$ $$12.818$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$-6$$ $$-2$$ $$q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}-\beta _{4}q^{7}+(-15+\cdots)q^{9}+\cdots$$
124.5.h.a $$22$$ $$12.818$$ None None $$0$$ $$9$$ $$-3$$ $$15$$
124.5.i.a $$124$$ $$12.818$$ None None $$-4$$ $$0$$ $$-2$$ $$0$$
124.5.k.a $$40$$ $$12.818$$ None None $$0$$ $$0$$ $$6$$ $$202$$
124.5.l.a $$248$$ $$12.818$$ None None $$-3$$ $$0$$ $$-16$$ $$0$$
124.5.n.a $$496$$ $$12.818$$ None None $$-6$$ $$0$$ $$-8$$ $$0$$
124.5.o.a $$88$$ $$12.818$$ None None $$0$$ $$-9$$ $$3$$ $$-215$$
124.6.a.a $$6$$ $$19.888$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$2$$ $$-75$$ $$-157$$ $$+$$ $$q-\beta _{2}q^{3}+(-12+\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots$$
124.6.a.b $$6$$ $$19.888$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$20$$ $$25$$ $$39$$ $$-$$ $$q+(3+\beta _{1})q^{3}+(4+\beta _{1}-\beta _{5})q^{5}+(6+\cdots)q^{7}+\cdots$$
124.6.d.a $$6$$ $$19.888$$ 6.0.21717639.1 $$\Q(\sqrt{-31})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2}+2\beta _{4}-2\beta _{5})q^{2}+(-4\beta _{1}+\cdots)q^{4}+\cdots$$
124.6.d.b $$72$$ $$19.888$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$
124.6.e.a $$26$$ $$19.888$$ None None $$0$$ $$-7$$ $$29$$ $$-85$$
124.6.f.a $$56$$ $$19.888$$ None None $$0$$ $$2$$ $$-58$$ $$104$$
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