## Results (displaying matches 1-50 of 66) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
276.1.h.a $$1$$ $$0.138$$ $$\Q$$ $$\Q(\sqrt{-23})$$, $$\Q(\sqrt{-69})$$ $$\Q(\sqrt{3})$$ $$-1$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$$
276.1.h.b $$1$$ $$0.138$$ $$\Q$$ $$\Q(\sqrt{-23})$$, $$\Q(\sqrt{-69})$$ $$\Q(\sqrt{3})$$ $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
276.1.h.c $$2$$ $$0.138$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-23})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
276.1.h.d $$2$$ $$0.138$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-23})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}-q^{8}+\cdots$$
276.2.a.a $$2$$ $$2.204$$ $$\Q(\sqrt{10})$$ None None $$0$$ $$-2$$ $$0$$ $$4$$ $$-$$ $$q-q^{3}+\beta q^{5}+(2-\beta )q^{7}+q^{9}+4q^{13}+\cdots$$
276.2.a.b $$2$$ $$2.204$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$4$$ $$0$$ $$-$$ $$q+q^{3}+(2+\beta )q^{5}+\beta q^{7}+q^{9}-4\beta q^{11}+\cdots$$
276.2.c.a $$22$$ $$2.204$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.2.c.b $$22$$ $$2.204$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.2.e.a $$24$$ $$2.204$$ None None $$4$$ $$0$$ $$0$$ $$0$$
276.2.g.a $$8$$ $$2.204$$ 8.0.$$\cdots$$.7 None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{4}q^{3}+\beta _{5}q^{5}-\beta _{7}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots$$
276.2.i.a $$20$$ $$2.204$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$q+\beta _{17}q^{3}+(\beta _{3}+\beta _{4}-\beta _{9}-\beta _{10}+\beta _{15}+\cdots)q^{5}+\cdots$$
276.2.i.b $$20$$ $$2.204$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$2$$ $$0$$ $$-4$$ $$q-\beta _{5}q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{7}+\beta _{10}+\cdots)q^{5}+\cdots$$
276.2.k.a $$80$$ $$2.204$$ None None $$0$$ $$-2$$ $$0$$ $$0$$
276.2.m.a $$240$$ $$2.204$$ None None $$-4$$ $$0$$ $$0$$ $$0$$
276.2.o.a $$440$$ $$2.204$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.3.b.a $$8$$ $$7.520$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{2}+\beta _{7})q^{7}+3q^{9}+\cdots$$
276.3.d.a $$14$$ $$7.520$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$4$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{3}-\beta _{5}q^{5}-\beta _{2}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots$$
276.3.f.a $$4$$ $$7.520$$ $$\Q(\sqrt{-3}, \sqrt{-23})$$ None None $$-4$$ $$0$$ $$4$$ $$0$$ $$q+(-1-\beta _{1})q^{2}+\beta _{1}q^{3}+(-2+2\beta _{1}+\cdots)q^{4}+\cdots$$
276.3.f.b $$40$$ $$7.520$$ None None $$4$$ $$0$$ $$4$$ $$0$$
276.3.h.a $$2$$ $$7.520$$ $$\Q(\sqrt{6})$$ $$\Q(\sqrt{-69})$$ None $$-4$$ $$-6$$ $$0$$ $$0$$ $$q-2q^{2}-3q^{3}+4q^{4}+3\beta q^{5}+6q^{6}+\cdots$$
276.3.h.b $$2$$ $$7.520$$ $$\Q(\sqrt{46})$$ $$\Q(\sqrt{-69})$$ None $$-4$$ $$6$$ $$0$$ $$0$$ $$q-2q^{2}+3q^{3}+4q^{4}+\beta q^{5}-6q^{6}+\cdots$$
276.3.h.c $$2$$ $$7.520$$ $$\Q(\sqrt{46})$$ $$\Q(\sqrt{-69})$$ None $$4$$ $$-6$$ $$0$$ $$0$$ $$q+2q^{2}-3q^{3}+4q^{4}+\beta q^{5}-6q^{6}+\cdots$$
276.3.h.d $$2$$ $$7.520$$ $$\Q(\sqrt{6})$$ $$\Q(\sqrt{-69})$$ None $$4$$ $$6$$ $$0$$ $$0$$ $$q+2q^{2}+3q^{3}+4q^{4}+3\beta q^{5}+6q^{6}+\cdots$$
276.3.h.e $$6$$ $$7.520$$ 6.0.8869743.1 $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{2}+\beta _{5})q^{2}+(\beta _{2}+2\beta _{5})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
276.3.h.f $$6$$ $$7.520$$ 6.0.8869743.1 $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{4})q^{2}+(-\beta _{2}-2\beta _{5})q^{3}+\cdots$$
276.3.h.g $$72$$ $$7.520$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.3.j.a $$920$$ $$7.520$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.3.l.a $$480$$ $$7.520$$ None None $$4$$ $$0$$ $$0$$ $$0$$
276.3.n.a $$160$$ $$7.520$$ None None $$0$$ $$2$$ $$0$$ $$0$$
276.3.p.a $$80$$ $$7.520$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.4.a.a $$1$$ $$16.285$$ $$\Q$$ None None $$0$$ $$3$$ $$2$$ $$-22$$ $$-$$ $$q+3q^{3}+2q^{5}-22q^{7}+9q^{9}-14q^{11}+\cdots$$
276.4.a.b $$1$$ $$16.285$$ $$\Q$$ None None $$0$$ $$3$$ $$8$$ $$34$$ $$+$$ $$q+3q^{3}+8q^{5}+34q^{7}+9q^{9}+6^{2}q^{11}+\cdots$$
276.4.a.c $$2$$ $$16.285$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-6$$ $$-2$$ $$4$$ $$-$$ $$q-3q^{3}+(-1-\beta )q^{5}+2q^{7}+9q^{9}+\cdots$$
276.4.a.d $$2$$ $$16.285$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$6$$ $$14$$ $$-10$$ $$+$$ $$q+3q^{3}+(7+3\beta )q^{5}+(-5+\beta )q^{7}+\cdots$$
276.4.a.e $$4$$ $$16.285$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None None $$0$$ $$-12$$ $$-2$$ $$-14$$ $$+$$ $$q-3q^{3}+\beta _{3}q^{5}+(-3+\beta _{1})q^{7}+9q^{9}+\cdots$$
276.4.e.a $$72$$ $$16.285$$ None None $$-4$$ $$0$$ $$0$$ $$0$$
276.4.g.a $$24$$ $$16.285$$ None None $$0$$ $$-4$$ $$0$$ $$0$$
276.5.b.a $$16$$ $$28.530$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+\beta _{1}q^{5}+\beta _{7}q^{7}+3^{3}q^{9}+\cdots$$
276.5.d.a $$30$$ $$28.530$$ None None $$0$$ $$-8$$ $$0$$ $$188$$
276.5.f.a $$88$$ $$28.530$$ None None $$0$$ $$0$$ $$-48$$ $$0$$
276.6.a.a $$4$$ $$44.266$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None None $$0$$ $$-36$$ $$22$$ $$-154$$ $$+$$ $$q-9q^{3}+(6+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-39+\cdots)q^{7}+\cdots$$
276.6.a.b $$4$$ $$44.266$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None None $$0$$ $$36$$ $$-50$$ $$-62$$ $$+$$ $$q+9q^{3}+(-13-\beta _{1}-\beta _{2})q^{5}+(-15+\cdots)q^{7}+\cdots$$
276.6.a.c $$6$$ $$44.266$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$-54$$ $$22$$ $$134$$ $$-$$ $$q-9q^{3}+(4-\beta _{1})q^{5}+(22+\beta _{4})q^{7}+\cdots$$
276.6.a.d $$6$$ $$44.266$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$54$$ $$50$$ $$-154$$ $$-$$ $$q+9q^{3}+(8-\beta _{2})q^{5}+(-26-\beta _{4})q^{7}+\cdots$$
276.6.g.a $$40$$ $$44.266$$ None None $$0$$ $$2$$ $$0$$ $$0$$
276.7.b.a $$24$$ $$63.495$$ None None $$0$$ $$0$$ $$0$$ $$0$$
276.7.d.a $$44$$ $$63.495$$ None None $$0$$ $$-20$$ $$0$$ $$-968$$
276.8.a.a $$5$$ $$86.218$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$-135$$ $$252$$ $$414$$ $$-$$ $$q-3^{3}q^{3}+(50+\beta _{3})q^{5}+(3^{4}+2\beta _{1}+\cdots)q^{7}+\cdots$$
276.8.a.b $$5$$ $$86.218$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$135$$ $$-392$$ $$-986$$ $$-$$ $$q+3^{3}q^{3}+(-78-\beta _{3})q^{5}+(-198+\cdots)q^{7}+\cdots$$
276.8.a.c $$7$$ $$86.218$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$-189$$ $$252$$ $$958$$ $$+$$ $$q-3^{3}q^{3}+(6^{2}+\beta _{1})q^{5}+(137-\beta _{1}+\cdots)q^{7}+\cdots$$
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