## Results (1-50 of 62 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
141.2.a.a $$1$$ $$1.126$$ $$\Q$$ None $$-2$$ $$1$$ $$-3$$ $$-3$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots$$
141.2.a.b $$1$$ $$1.126$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$4$$ $$-$$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+4q^{7}+3q^{8}+\cdots$$
141.2.a.c $$1$$ $$1.126$$ $$\Q$$ None $$-1$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots$$
141.2.a.d $$1$$ $$1.126$$ $$\Q$$ None $$0$$ $$-1$$ $$-1$$ $$-3$$ $$+$$ $$q-q^{3}-2q^{4}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots$$
141.2.a.e $$1$$ $$1.126$$ $$\Q$$ None $$2$$ $$1$$ $$-1$$ $$-3$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-3q^{7}+\cdots$$
141.2.a.f $$2$$ $$1.126$$ $$\Q(\sqrt{17})$$ None $$-1$$ $$-2$$ $$1$$ $$1$$ $$-$$ $$q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1-\beta )q^{5}+\cdots$$
141.2.c.a $$4$$ $$1.126$$ $$\Q(\sqrt{-2}, \sqrt{15})$$ None $$0$$ $$-4$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+\beta _{3}q^{5}+(-2+\cdots)q^{6}+\cdots$$
141.2.c.b $$10$$ $$1.126$$ 10.0.$$\cdots$$.1 $$\Q(\sqrt{-47})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{1}q^{3}+(-2-\beta _{5})q^{4}-\beta _{6}q^{6}+\cdots$$
141.2.e.a $$88$$ $$1.126$$ None $$-2$$ $$-4$$ $$-4$$ $$-2$$
141.2.e.b $$88$$ $$1.126$$ None $$2$$ $$4$$ $$0$$ $$-2$$
141.2.g.a $$308$$ $$1.126$$ None $$0$$ $$-19$$ $$0$$ $$-42$$
141.3.b.a $$30$$ $$3.842$$ None $$0$$ $$-4$$ $$0$$ $$-4$$
141.3.d.a $$16$$ $$3.842$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$12$$ $$q-\beta _{9}q^{2}-\beta _{4}q^{3}+(2-\beta _{4}-\beta _{11})q^{4}+\cdots$$
141.3.f.a $$352$$ $$3.842$$ None $$0$$ $$0$$ $$0$$ $$-12$$
141.3.h.a $$660$$ $$3.842$$ None $$0$$ $$-19$$ $$0$$ $$-42$$
141.4.a.a $$2$$ $$8.319$$ $$\Q(\sqrt{111})$$ None $$8$$ $$6$$ $$6$$ $$20$$ $$+$$ $$q+4q^{2}+3q^{3}+8q^{4}+(3+\beta )q^{5}+12q^{6}+\cdots$$
141.4.a.b $$5$$ $$8.319$$ 5.5.13374304.1 None $$-5$$ $$15$$ $$-34$$ $$-26$$ $$-$$ $$q+(-1-\beta _{3})q^{2}+3q^{3}+(1-\beta _{1}+2\beta _{3}+\cdots)q^{4}+\cdots$$
141.4.a.c $$5$$ $$8.319$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$-1$$ $$15$$ $$10$$ $$10$$ $$+$$ $$q-\beta _{1}q^{2}+3q^{3}+(3-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$$
141.4.a.d $$5$$ $$8.319$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$1$$ $$-15$$ $$-4$$ $$-26$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(2+\beta _{2})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots$$
141.4.a.e $$7$$ $$8.319$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-3$$ $$-21$$ $$6$$ $$30$$ $$+$$ $$q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots$$
141.4.c.a $$10$$ $$8.319$$ 10.0.$$\cdots$$.1 $$\Q(\sqrt{-47})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(-\beta _{1}-\beta _{2}-\beta _{5})q^{3}+(-8+\cdots)q^{4}+\cdots$$
141.4.c.b $$36$$ $$8.319$$ None $$0$$ $$2$$ $$0$$ $$-4$$
141.4.e.a $$264$$ $$8.319$$ None $$-2$$ $$-36$$ $$18$$ $$-4$$
141.4.e.b $$264$$ $$8.319$$ None $$2$$ $$36$$ $$-2$$ $$-4$$
141.4.g.a $$1012$$ $$8.319$$ None $$0$$ $$-25$$ $$0$$ $$-42$$
141.5.b.a $$62$$ $$14.575$$ None $$0$$ $$8$$ $$0$$ $$-4$$
141.5.d.a $$32$$ $$14.575$$ None $$0$$ $$0$$ $$0$$ $$-60$$
141.5.f.a $$704$$ $$14.575$$ None $$0$$ $$0$$ $$0$$ $$60$$
141.5.h.a $$1364$$ $$14.575$$ None $$0$$ $$-31$$ $$0$$ $$-42$$
141.6.a.a $$1$$ $$22.614$$ $$\Q$$ None $$8$$ $$9$$ $$69$$ $$135$$ $$-$$ $$q+8q^{2}+9q^{3}+2^{5}q^{4}+69q^{5}+72q^{6}+\cdots$$
141.6.a.b $$8$$ $$22.614$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-11$$ $$72$$ $$-95$$ $$-215$$ $$+$$ $$q+(-1-\beta _{1})q^{2}+9q^{3}+(10+2\beta _{1}+\cdots)q^{4}+\cdots$$
141.6.a.c $$9$$ $$22.614$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$5$$ $$81$$ $$86$$ $$42$$ $$-$$ $$q+(1-\beta _{1})q^{2}+9q^{3}+(18-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
141.6.a.d $$9$$ $$22.614$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$9$$ $$-81$$ $$-39$$ $$-255$$ $$+$$ $$q+(1-\beta _{1})q^{2}-9q^{3}+(15-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
141.6.a.e $$11$$ $$22.614$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None $$1$$ $$-99$$ $$11$$ $$137$$ $$-$$ $$q+\beta _{1}q^{2}-9q^{3}+(21+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots$$
141.6.c.a $$2$$ $$22.614$$ $$\Q(\sqrt{-47})$$ $$\Q(\sqrt{-47})$$ $$0$$ $$28$$ $$0$$ $$-512$$ $$q-\beta q^{2}+(14-\beta )q^{3}-15q^{4}+(-47+\cdots)q^{6}+\cdots$$
141.6.c.b $$8$$ $$22.614$$ 8.0.$$\cdots$$.1 $$\Q(\sqrt{-47})$$ $$0$$ $$-28$$ $$0$$ $$512$$ $$q+(-2+\beta _{3}+3\beta _{4}+2\beta _{5}-\beta _{7})q^{2}+\cdots$$
141.6.c.c $$68$$ $$22.614$$ None $$0$$ $$-4$$ $$0$$ $$-4$$
141.7.b.a $$92$$ $$32.438$$ None $$0$$ $$20$$ $$0$$ $$568$$
141.7.d.a $$48$$ $$32.438$$ None $$0$$ $$0$$ $$0$$ $$-288$$
141.8.a.a $$12$$ $$44.046$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$1$$ $$-324$$ $$-389$$ $$-1111$$ $$-$$ $$q+\beta _{1}q^{2}-3^{3}q^{3}+(56+\beta _{2})q^{4}+(-2^{5}+\cdots)q^{5}+\cdots$$
141.8.a.b $$13$$ $$44.046$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None $$-23$$ $$351$$ $$-749$$ $$-1175$$ $$-$$ $$q+(-2+\beta _{1})q^{2}+3^{3}q^{3}+(67-2\beta _{1}+\cdots)q^{4}+\cdots$$
141.8.a.c $$14$$ $$44.046$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-15$$ $$-378$$ $$-139$$ $$1633$$ $$+$$ $$q+(-1-\beta _{1})q^{2}-3^{3}q^{3}+(75+\beta _{1}+\cdots)q^{4}+\cdots$$
141.8.a.d $$15$$ $$44.046$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None $$25$$ $$405$$ $$501$$ $$1569$$ $$+$$ $$q+(2-\beta _{1})q^{2}+3^{3}q^{3}+(84-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
141.9.d.a $$64$$ $$57.440$$ None $$0$$ $$0$$ $$0$$ $$4380$$
141.10.a.a $$16$$ $$72.620$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-47$$ $$1296$$ $$-1254$$ $$-16826$$ $$+$$ $$q+(-3+\beta _{1})q^{2}+3^{4}q^{3}+(219-4\beta _{1}+\cdots)q^{4}+\cdots$$
141.10.a.b $$16$$ $$72.620$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$33$$ $$-1296$$ $$-220$$ $$-3218$$ $$+$$ $$q+(2+\beta _{1})q^{2}-3^{4}q^{3}+(203+3\beta _{1}+\cdots)q^{4}+\cdots$$
141.10.a.c $$18$$ $$72.620$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$1$$ $$-1458$$ $$1030$$ $$15990$$ $$-$$ $$q+\beta _{1}q^{2}-3^{4}q^{3}+(266+\beta _{2})q^{4}+(57+\cdots)q^{5}+\cdots$$
141.10.a.d $$18$$ $$72.620$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$49$$ $$1458$$ $$4996$$ $$2382$$ $$-$$ $$q+(3-\beta _{1})q^{2}+3^{4}q^{3}+(281-4\beta _{1}+\cdots)q^{4}+\cdots$$
141.11.d.a $$80$$ $$89.585$$ None $$0$$ $$0$$ $$0$$ $$-7788$$
141.12.a.a $$20$$ $$108.336$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-23$$ $$-4860$$ $$7901$$ $$-58651$$ $$-$$ $$q+(-1-\beta _{1})q^{2}-3^{5}q^{3}+(845+\beta _{2}+\cdots)q^{4}+\cdots$$