## Results (displaying matches 1-50 of 91) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
61.2.a.a $$1$$ $$0.487$$ $$\Q$$ None $$-1$$ $$-2$$ $$-3$$ $$1$$ $$+$$ $$q-q^{2}-2q^{3}-q^{4}-3q^{5}+2q^{6}+q^{7}+\cdots$$
61.2.a.b $$3$$ $$0.487$$ 3.3.148.1 None $$1$$ $$2$$ $$-1$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots$$
61.2.b.a $$4$$ $$0.487$$ 4.0.29952.1 None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+(-2+\beta _{2}+\cdots)q^{4}+\cdots$$
61.2.c.a $$8$$ $$0.487$$ 8.0.310217769.2 None $$0$$ $$-6$$ $$-2$$ $$-1$$ $$q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
61.2.e.a $$12$$ $$0.487$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-2$$ $$-1$$ $$-5$$ $$-10$$ $$q-\beta _{5}q^{2}+(\beta _{8}+\beta _{10})q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
61.2.f.a $$2$$ $$0.487$$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-4$$ $$-3$$ $$-6$$ $$q+(-1-\zeta_{6})q^{2}-2q^{3}+\zeta_{6}q^{4}+(-3+\cdots)q^{5}+\cdots$$
61.2.f.b $$8$$ $$0.487$$ 8.0.542936601.2 None $$0$$ $$-2$$ $$6$$ $$-3$$ $$q+(\beta _{1}+\beta _{6})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(-\beta _{2}+\cdots)q^{4}+\cdots$$
61.2.g.a $$16$$ $$0.487$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-5$$ $$-1$$ $$0$$ $$10$$ $$q+\beta _{2}q^{2}+(-1-\beta _{1}+\beta _{2}-2\beta _{4}-2\beta _{5}+\cdots)q^{3}+\cdots$$
61.2.i.a $$32$$ $$0.487$$ None $$-10$$ $$-4$$ $$2$$ $$1$$
61.2.k.a $$40$$ $$0.487$$ None $$-7$$ $$-4$$ $$-18$$ $$-11$$
61.3.d.a $$20$$ $$1.662$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-4$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{1}q^{2}+\beta _{12}q^{3}+(2\beta _{11}+\beta _{15})q^{4}+\cdots$$
61.3.h.a $$36$$ $$1.662$$ None $$-2$$ $$0$$ $$6$$ $$-18$$
61.3.j.a $$80$$ $$1.662$$ None $$-6$$ $$-10$$ $$-30$$ $$-12$$
61.3.l.a $$144$$ $$1.662$$ None $$-18$$ $$-20$$ $$-6$$ $$-2$$
61.4.a.a $$6$$ $$3.599$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$-7$$ $$-13$$ $$-16$$ $$-27$$ $$-$$ $$q+(-1-\beta _{1})q^{2}+(-2+\beta _{1}+\beta _{4})q^{3}+\cdots$$
61.4.a.b $$9$$ $$3.599$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$3$$ $$11$$ $$24$$ $$1$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(6+\beta _{2})q^{4}+\cdots$$
61.4.b.a $$14$$ $$3.599$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$-2$$ $$-14$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}+(-3+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$$
61.4.c.a $$30$$ $$3.599$$ None $$1$$ $$8$$ $$-11$$ $$23$$
61.4.e.a $$60$$ $$3.599$$ None $$-1$$ $$-3$$ $$-33$$ $$-29$$
61.4.f.a $$28$$ $$3.599$$ None $$-3$$ $$8$$ $$-22$$ $$33$$
61.4.g.a $$56$$ $$3.599$$ None $$-5$$ $$-3$$ $$-26$$ $$45$$
61.4.i.a $$120$$ $$3.599$$ None $$-11$$ $$-18$$ $$21$$ $$-73$$
61.4.k.a $$112$$ $$3.599$$ None $$-7$$ $$-18$$ $$47$$ $$-3$$
61.5.d.a $$38$$ $$6.306$$ None $$-2$$ $$0$$ $$0$$ $$-22$$
61.5.h.a $$80$$ $$6.306$$ None $$-4$$ $$0$$ $$66$$ $$2$$
61.5.j.a $$152$$ $$6.306$$ None $$-8$$ $$-10$$ $$-130$$ $$12$$
61.5.l.a $$320$$ $$6.306$$ None $$-16$$ $$-20$$ $$34$$ $$-22$$
61.6.a.a $$11$$ $$9.783$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None $$-9$$ $$-46$$ $$-129$$ $$-87$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(-4+\beta _{7})q^{3}+(11+\cdots)q^{4}+\cdots$$
61.6.a.b $$14$$ $$9.783$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$11$$ $$26$$ $$71$$ $$109$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{5})q^{3}+(19-\beta _{1}+\cdots)q^{4}+\cdots$$
61.6.b.a $$26$$ $$9.783$$ None $$0$$ $$-20$$ $$-128$$ $$0$$
61.6.c.a $$48$$ $$9.783$$ None $$-5$$ $$-22$$ $$46$$ $$-113$$
61.6.e.a $$100$$ $$9.783$$ None $$-7$$ $$15$$ $$93$$ $$-262$$
61.6.f.a $$50$$ $$9.783$$ None $$-3$$ $$-22$$ $$11$$ $$207$$
61.6.g.a $$104$$ $$9.783$$ None $$-5$$ $$15$$ $$-122$$ $$230$$
61.6.i.a $$192$$ $$9.783$$ None $$-5$$ $$12$$ $$-96$$ $$-407$$
61.6.k.a $$200$$ $$9.783$$ None $$-7$$ $$12$$ $$224$$ $$293$$
61.7.d.a $$60$$ $$14.033$$ None $$6$$ $$0$$ $$0$$ $$-258$$
61.7.h.a $$120$$ $$14.033$$ None $$-12$$ $$0$$ $$126$$ $$1644$$
61.7.j.a $$240$$ $$14.033$$ None $$-16$$ $$-10$$ $$-230$$ $$248$$
61.7.l.a $$480$$ $$14.033$$ None $$-8$$ $$-20$$ $$74$$ $$-1664$$
61.8.a.a $$16$$ $$19.055$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-17$$ $$-82$$ $$-571$$ $$-355$$ $$-$$ $$q+(-1-\beta _{1})q^{2}+(-5-\beta _{5})q^{3}+(46+\cdots)q^{4}+\cdots$$
61.8.a.b $$19$$ $$19.055$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None $$23$$ $$134$$ $$429$$ $$1017$$ $$+$$ $$q+(1+\beta _{1})q^{2}+(7+\beta _{3})q^{3}+(69+2\beta _{1}+\cdots)q^{4}+\cdots$$
61.8.b.a $$34$$ $$19.055$$ None $$0$$ $$52$$ $$696$$ $$0$$
61.8.c.a $$72$$ $$19.055$$ None $$-9$$ $$50$$ $$-446$$ $$-1681$$
61.8.e.a $$140$$ $$19.055$$ None $$-11$$ $$-57$$ $$-833$$ $$1978$$
61.8.f.a $$70$$ $$19.055$$ None $$-3$$ $$50$$ $$-27$$ $$495$$
61.8.g.a $$136$$ $$19.055$$ None $$-5$$ $$-57$$ $$414$$ $$-2650$$
61.8.i.a $$288$$ $$19.055$$ None $$-1$$ $$-60$$ $$1406$$ $$-4759$$
61.8.k.a $$280$$ $$19.055$$ None $$-7$$ $$-60$$ $$-1098$$ $$5925$$
61.9.d.a $$82$$ $$24.850$$ None $$-2$$ $$0$$ $$0$$ $$-7502$$
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