## Results (1-50 of 164 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
864.1.h.a $$1$$ $$0.431$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-q^{5}+q^{7}+q^{11}+2q^{29}+q^{31}+\cdots$$
864.1.h.b $$1$$ $$0.431$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$1$$ $$1$$ $$q+q^{5}+q^{7}-q^{11}-2q^{29}+q^{31}+\cdots$$
864.1.o.a $$4$$ $$0.431$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{5}q^{11}+\cdots$$
864.1.t.a $$2$$ $$0.431$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{11}+q^{17}+q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
864.1.bd.a $$6$$ $$0.431$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}q^{3}+\zeta_{18}^{2}q^{9}+(\zeta_{18}^{5}-\zeta_{18}^{6}+\cdots)q^{11}+\cdots$$
864.2.a.a $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-3$$ $$-$$ $$q-2q^{5}-3q^{7}+6q^{11}-3q^{13}+2q^{17}+\cdots$$
864.2.a.b $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$+$$ $$q-2q^{5}-q^{7}+2q^{11}+q^{13}-6q^{17}+\cdots$$
864.2.a.c $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $$+$$ $$q-2q^{5}+q^{7}-2q^{11}+q^{13}-6q^{17}+\cdots$$
864.2.a.d $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$3$$ $$+$$ $$q-2q^{5}+3q^{7}-6q^{11}-3q^{13}+2q^{17}+\cdots$$
864.2.a.e $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$+$$ $$q-q^{5}-3q^{7}+3q^{11}+4q^{17}-6q^{19}+\cdots$$
864.2.a.f $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$-$$ $$q-q^{5}+3q^{7}-3q^{11}+4q^{17}+6q^{19}+\cdots$$
864.2.a.g $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $$+$$ $$q+q^{5}-3q^{7}-3q^{11}-4q^{17}-6q^{19}+\cdots$$
864.2.a.h $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$3$$ $$-$$ $$q+q^{5}+3q^{7}+3q^{11}-4q^{17}+6q^{19}+\cdots$$
864.2.a.i $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-3$$ $$+$$ $$q+2q^{5}-3q^{7}-6q^{11}-3q^{13}-2q^{17}+\cdots$$
864.2.a.j $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $$-$$ $$q+2q^{5}-q^{7}-2q^{11}+q^{13}+6q^{17}+\cdots$$
864.2.a.k $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $$-$$ $$q+2q^{5}+q^{7}+2q^{11}+q^{13}+6q^{17}+\cdots$$
864.2.a.l $$1$$ $$6.899$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$3$$ $$-$$ $$q+2q^{5}+3q^{7}+6q^{11}-3q^{13}-2q^{17}+\cdots$$
864.2.a.m $$2$$ $$6.899$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta q^{5}+\beta q^{7}-q^{11}+4q^{13}-2\beta q^{19}+\cdots$$
864.2.a.n $$2$$ $$6.899$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta q^{5}-\beta q^{7}+q^{11}+4q^{13}+2\beta q^{19}+\cdots$$
864.2.c.a $$8$$ $$6.899$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{5}-\zeta_{24}^{7}q^{7}+(\zeta_{24}+\zeta_{24}^{5}+\cdots)q^{11}+\cdots$$
864.2.c.b $$8$$ $$6.899$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{2}q^{5}+(-\zeta_{24}-\zeta_{24}^{3})q^{7}+\zeta_{24}^{6}q^{11}+\cdots$$
864.2.d.a $$4$$ $$6.899$$ $$\Q(i, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{1}q^{5}-q^{7}+3\beta _{1}q^{11}-\beta _{3}q^{13}+\cdots$$
864.2.d.b $$4$$ $$6.899$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(-\zeta_{8}-\zeta_{8}^{2})q^{5}+(1-\zeta_{8}^{3})q^{7}+(\zeta_{8}+\cdots)q^{11}+\cdots$$
864.2.d.c $$8$$ $$6.899$$ 8.0.629407744.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}-\beta _{7}q^{7}-\beta _{2}q^{11}+(\beta _{3}+\beta _{6}+\cdots)q^{13}+\cdots$$
864.2.f.a $$8$$ $$6.899$$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}-\beta _{4}q^{7}-\beta _{6}q^{11}+(\beta _{4}+\beta _{7})q^{13}+\cdots$$
864.2.f.b $$8$$ $$6.899$$ 8.0.170772624.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}+\beta _{2}q^{7}+\beta _{6}q^{11}+\beta _{7}q^{13}+\cdots$$
864.2.i.a $$2$$ $$6.899$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$4$$ $$-2$$ $$q+4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(5-5\zeta_{6})q^{11}+\cdots$$
864.2.i.b $$2$$ $$6.899$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$4$$ $$2$$ $$q+4\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+(-5+5\zeta_{6})q^{11}+\cdots$$
864.2.i.c $$4$$ $$6.899$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $$q-\beta _{1}q^{5}+(-1+\beta _{1}-\beta _{2}+\beta _{3})q^{7}+\cdots$$
864.2.i.d $$4$$ $$6.899$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{12})q^{5}-\zeta_{12}^{2}q^{7}-\zeta_{12}^{2}q^{11}+\cdots$$
864.2.i.e $$4$$ $$6.899$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $$q-\beta _{1}q^{5}+(1-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+(1+\cdots)q^{11}+\cdots$$
864.2.i.f $$8$$ $$6.899$$ 8.0.170772624.1 None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{6}q^{5}+(\beta _{1}-\beta _{7})q^{7}-\beta _{3}q^{11}+(-2\beta _{4}+\cdots)q^{13}+\cdots$$
864.2.p.a $$4$$ $$6.899$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-6+\beta _{1}+3\beta _{2}-\beta _{3})q^{11}+(-3+\cdots)q^{17}+\cdots$$
864.2.p.b $$16$$ $$6.899$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{5}+(-\beta _{4}-\beta _{11})q^{7}+(1-\beta _{1}+\cdots)q^{11}+\cdots$$
864.2.r.a $$4$$ $$6.899$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+2\zeta_{12}q^{5}+4\zeta_{12}^{2}q^{7}+(3\zeta_{12}-3\zeta_{12}^{3})q^{11}+\cdots$$
864.2.r.b $$16$$ $$6.899$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+(\beta _{4}-\beta _{5}-\beta _{11})q^{5}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots$$
864.2.s.a $$24$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.v.a $$128$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.v.b $$128$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.w.a $$128$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.w.b $$128$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.y.a $$48$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.y.b $$54$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.y.c $$54$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.y.d $$60$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.bf.a $$204$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$12$$
864.2.bh.a $$12$$ $$6.899$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{4}-\beta _{7}+\beta _{10})q^{3}+(-\beta _{2}+2\beta _{5}+\cdots)q^{9}+\cdots$$
864.2.bh.b $$192$$ $$6.899$$ None None $$0$$ $$12$$ $$0$$ $$0$$
864.2.bi.a $$216$$ $$6.899$$ None None $$0$$ $$0$$ $$0$$ $$0$$
864.2.bk.a $$368$$ $$6.899$$ None None $$4$$ $$0$$ $$4$$ $$-4$$