## Results (1-50 of 182 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
93.1.l.a $$4$$ $$0.046$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
93.2.a.a $$2$$ $$0.743$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$-2$$ $$-4$$ $$-4$$ $$+$$ $$q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-3+\cdots)q^{5}+\cdots$$
93.2.a.b $$3$$ $$0.743$$ 3.3.229.1 None None $$0$$ $$3$$ $$-2$$ $$4$$ $$-$$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$$
93.2.c.a $$8$$ $$0.743$$ 8.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{5}q^{2}+\beta _{6}q^{3}+\beta _{3}q^{4}+\beta _{1}q^{5}+\cdots$$
93.2.e.a $$4$$ $$0.743$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$2$$ $$4$$ $$4$$ $$q+\beta _{3}q^{2}+(1+\beta _{2})q^{3}+(-\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots$$
93.2.e.b $$6$$ $$0.743$$ 6.0.591408.1 None None $$0$$ $$-3$$ $$-4$$ $$-4$$ $$q+\beta _{3}q^{2}-\beta _{4}q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots$$
93.2.f.a $$8$$ $$0.743$$ $$\Q(\zeta_{15})$$ None None $$3$$ $$2$$ $$-6$$ $$9$$ $$q+(1-\zeta_{15}+\zeta_{15}^{3})q^{2}+(1+\zeta_{15}^{2}+\cdots)q^{3}+\cdots$$
93.2.f.b $$16$$ $$0.743$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-3$$ $$-4$$ $$6$$ $$-7$$ $$q-\beta _{1}q^{2}+\beta _{8}q^{3}+(-1-\beta _{8}-\beta _{9}+\cdots)q^{4}+\cdots$$
93.2.g.a $$2$$ $$0.743$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$4$$ $$q+(-1-\zeta_{6})q^{3}+2q^{4}+(4-4\zeta_{6})q^{7}+\cdots$$
93.2.g.b $$2$$ $$0.743$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$q+(1-2\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-q^{4}+\cdots$$
93.2.g.c $$2$$ $$0.743$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-3$$ $$1$$ $$q+(-1+2\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-q^{4}+\cdots$$
93.2.g.d $$4$$ $$0.743$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-6$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}-4q^{4}+\beta _{3}q^{5}+\cdots$$
93.2.g.e $$4$$ $$0.743$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$1$$ $$-3$$ $$-1$$ $$q+(-\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
93.2.g.f $$4$$ $$0.743$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$2$$ $$3$$ $$-1$$ $$q+(-\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1-\beta _{1}+\beta _{3})q^{3}+\cdots$$
93.2.k.a $$32$$ $$0.743$$ None None $$0$$ $$-5$$ $$0$$ $$8$$
93.2.m.a $$16$$ $$0.743$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-2$$ $$6$$ $$-9$$ $$q+(-\beta _{7}+\beta _{12}+\beta _{13})q^{2}+(-1+\beta _{2}+\cdots)q^{3}+\cdots$$
93.2.m.b $$24$$ $$0.743$$ None None $$0$$ $$3$$ $$-6$$ $$-1$$
93.2.p.a $$8$$ $$0.743$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$-4$$ $$q+(\zeta_{15}^{2}+2\zeta_{15}^{7})q^{3}+2\zeta_{15}^{6}q^{4}+\cdots$$
93.2.p.b $$64$$ $$0.743$$ None None $$0$$ $$-10$$ $$0$$ $$-26$$
93.3.b.a $$20$$ $$2.534$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{6}q^{3}+(-2+\beta _{2})q^{4}+\beta _{11}q^{5}+\cdots$$
93.3.d.a $$2$$ $$2.534$$ $$\Q(\sqrt{-3})$$ None None $$-6$$ $$0$$ $$-12$$ $$4$$ $$q-3q^{2}-\zeta_{6}q^{3}+5q^{4}-6q^{5}+3\zeta_{6}q^{6}+\cdots$$
93.3.d.b $$8$$ $$2.534$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$6$$ $$0$$ $$12$$ $$-20$$ $$q+(1+\beta _{5})q^{2}+\beta _{1}q^{3}+(2-\beta _{2}+\beta _{5}+\cdots)q^{4}+\cdots$$
93.3.h.a $$2$$ $$2.534$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$-2$$ $$q+3\zeta_{6}q^{3}+4q^{4}-2\zeta_{6}q^{7}+(-9+9\zeta_{6})q^{9}+\cdots$$
93.3.h.b $$36$$ $$2.534$$ None None $$0$$ $$-2$$ $$0$$ $$-14$$
93.3.i.a $$10$$ $$2.534$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$-6$$ $$15$$ $$0$$ $$-1$$ $$q+(-1-\beta _{8}-\beta _{9})q^{2}+(1+\beta _{2})q^{3}+\cdots$$
93.3.i.b $$12$$ $$2.534$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$6$$ $$-18$$ $$0$$ $$9$$ $$q+(1-\beta _{3})q^{2}+(-2+\beta _{5})q^{3}+(3-\beta _{2}+\cdots)q^{4}+\cdots$$
93.3.j.a $$40$$ $$2.534$$ None None $$0$$ $$0$$ $$0$$ $$-4$$
93.3.l.a $$8$$ $$2.534$$ 8.0.3844000000.4 None None $$0$$ $$-6$$ $$0$$ $$24$$ $$q+\beta _{1}q^{2}-3\beta _{3}q^{3}+(-2-3\beta _{2}+2\beta _{3}+\cdots)q^{4}+\cdots$$
93.3.l.b $$72$$ $$2.534$$ None None $$0$$ $$5$$ $$0$$ $$-54$$
93.3.n.a $$40$$ $$2.534$$ None None $$6$$ $$-15$$ $$0$$ $$11$$
93.3.n.b $$48$$ $$2.534$$ None None $$-6$$ $$18$$ $$0$$ $$1$$
93.3.o.a $$8$$ $$2.534$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$2$$ $$q-3\zeta_{15}^{4}q^{3}+(-4\zeta_{15}^{2}-4\zeta_{15}^{7})q^{4}+\cdots$$
93.3.o.b $$144$$ $$2.534$$ None None $$0$$ $$-8$$ $$0$$ $$14$$
93.4.a.a $$1$$ $$5.487$$ $$\Q$$ None None $$3$$ $$-3$$ $$-9$$ $$-34$$ $$-$$ $$q+3q^{2}-3q^{3}+q^{4}-9q^{5}-9q^{6}+\cdots$$
93.4.a.b $$2$$ $$5.487$$ $$\Q(\sqrt{29})$$ None None $$-5$$ $$-6$$ $$8$$ $$-4$$ $$-$$ $$q+(-2-\beta )q^{2}-3q^{3}+(3+5\beta )q^{4}+\cdots$$
93.4.a.c $$2$$ $$5.487$$ $$\Q(\sqrt{17})$$ None None $$-3$$ $$6$$ $$-8$$ $$-37$$ $$-$$ $$q+(-1-\beta )q^{2}+3q^{3}+(-3+3\beta )q^{4}+\cdots$$
93.4.a.d $$2$$ $$5.487$$ $$\Q(\sqrt{41})$$ None None $$-1$$ $$-6$$ $$-11$$ $$29$$ $$-$$ $$q-\beta q^{2}-3q^{3}+(2+\beta )q^{4}+(-7+3\beta )q^{5}+\cdots$$
93.4.a.e $$3$$ $$5.487$$ 3.3.2089.1 None None $$3$$ $$-9$$ $$8$$ $$19$$ $$+$$ $$q+(1+\beta _{1})q^{2}-3q^{3}+(1+3\beta _{1}+2\beta _{2})q^{4}+\cdots$$
93.4.a.f $$6$$ $$5.487$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$3$$ $$18$$ $$12$$ $$47$$ $$+$$ $$q+(1-\beta _{1})q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$$
93.4.c.a $$2$$ $$5.487$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$40$$ $$q-\zeta_{6}q^{3}+8q^{4}+20q^{7}-3^{3}q^{9}-8\zeta_{6}q^{12}+\cdots$$
93.4.c.b $$28$$ $$5.487$$ None None $$0$$ $$0$$ $$0$$ $$-64$$
93.4.e.a $$14$$ $$5.487$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-6$$ $$-21$$ $$-4$$ $$-17$$ $$q-\beta _{2}q^{2}+3\beta _{3}q^{3}+(3-\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots$$
93.4.e.b $$18$$ $$5.487$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$6$$ $$27$$ $$4$$ $$-9$$ $$q+\beta _{3}q^{2}+3\beta _{4}q^{3}+(5-\beta _{2})q^{4}+(\beta _{5}+\cdots)q^{5}+\cdots$$
93.4.f.a $$32$$ $$5.487$$ None None $$0$$ $$-24$$ $$-54$$ $$-25$$
93.4.f.b $$32$$ $$5.487$$ None None $$0$$ $$24$$ $$54$$ $$-25$$
93.4.g.a $$60$$ $$5.487$$ None None $$0$$ $$-3$$ $$0$$ $$24$$
93.4.k.a $$8$$ $$5.487$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-40$$ $$q+\zeta_{15}^{6}q^{3}+8\zeta_{15}^{2}q^{4}+(-10-10\zeta_{15}^{2}+\cdots)q^{7}+\cdots$$
93.4.k.b $$112$$ $$5.487$$ None None $$0$$ $$-5$$ $$0$$ $$24$$
93.4.m.a $$56$$ $$5.487$$ None None $$6$$ $$21$$ $$54$$ $$32$$
93.4.m.b $$72$$ $$5.487$$ None None $$-6$$ $$-27$$ $$-54$$ $$24$$