## Results (1-50 of 189 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
672.1.ba.a $$2$$ $$0.335$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$-1$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
672.1.ba.b $$2$$ $$0.335$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$1$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
672.2.a.a $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$-4$$ $$-1$$ $$-$$ $$q-q^{3}-4q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
672.2.a.b $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$1$$ $$+$$ $$q-q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$$
672.2.a.c $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$+$$ $$q-q^{3}-q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
672.2.a.d $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-1$$ $$-$$ $$q-q^{3}+2q^{5}-q^{7}+q^{9}+2q^{13}-2q^{15}+\cdots$$
672.2.a.e $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$1$$ $$+$$ $$q+q^{3}-4q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
672.2.a.f $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-1$$ $$+$$ $$q+q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$$
672.2.a.g $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
672.2.a.h $$1$$ $$5.366$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $$-$$ $$q+q^{3}+2q^{5}+q^{7}+q^{9}+2q^{13}+2q^{15}+\cdots$$
672.2.a.i $$2$$ $$5.366$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$-$$ $$q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$$
672.2.a.j $$2$$ $$5.366$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $$-$$ $$q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$$
672.2.b.a $$8$$ $$5.366$$ 8.0.836829184.2 None None $$0$$ $$-8$$ $$0$$ $$-4$$ $$q-q^{3}+\beta _{1}q^{5}+\beta _{4}q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
672.2.b.b $$8$$ $$5.366$$ 8.0.836829184.2 None None $$0$$ $$8$$ $$0$$ $$4$$ $$q+q^{3}-\beta _{1}q^{5}+\beta _{2}q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
672.2.c.a $$4$$ $$5.366$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{12}q^{3}+(\zeta_{12}-\zeta_{12}^{2})q^{5}+q^{7}+\cdots$$
672.2.c.b $$8$$ $$5.366$$ 8.0.386672896.3 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{2}q^{3}+\beta _{1}q^{5}-q^{7}-q^{9}+(-2\beta _{2}+\cdots)q^{11}+\cdots$$
672.2.h.a $$4$$ $$5.366$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
672.2.h.b $$4$$ $$5.366$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{3}-3\zeta_{8}^{2}q^{5}-\zeta_{8}q^{7}+\cdots$$
672.2.h.c $$4$$ $$5.366$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{5}-\zeta_{8}q^{7}+\cdots$$
672.2.h.d $$4$$ $$5.366$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
672.2.h.e $$8$$ $$5.366$$ 8.0.40960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{4}q^{5}+\beta _{1}q^{7}+(-2+\beta _{6}+\cdots)q^{9}+\cdots$$
672.2.i.a $$4$$ $$5.366$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$0$$ $$8$$ $$q+(-1-\beta _{1})q^{3}+\beta _{1}q^{5}+(2-\beta _{2})q^{7}+\cdots$$
672.2.i.b $$4$$ $$5.366$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{3}+2\beta _{2}q^{5}+(-1+\beta _{3})q^{7}+\cdots$$
672.2.i.c $$4$$ $$5.366$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$4$$ $$0$$ $$8$$ $$q+(1-\beta _{1})q^{3}+\beta _{1}q^{5}+(2-\beta _{2})q^{7}+\cdots$$
672.2.i.d $$8$$ $$5.366$$ 8.0.3317760000.1 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+(-\beta _{2}-\beta _{3})q^{3}-\beta _{3}q^{5}+(-1-\beta _{6}+\cdots)q^{7}+\cdots$$
672.2.i.e $$8$$ $$5.366$$ 8.0.$$\cdots$$.11 $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(\beta _{6}-\beta _{7})q^{5}+\beta _{3}q^{7}+(\beta _{2}+\cdots)q^{9}+\cdots$$
672.2.j.a $$4$$ $$5.366$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2})q^{3}-2\zeta_{8}^{3}q^{5}-\zeta_{8}q^{7}+\cdots$$
672.2.j.b $$4$$ $$5.366$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $$q+(-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}-\beta _{3})q^{5}+\beta _{2}q^{7}+\cdots$$
672.2.j.c $$4$$ $$5.366$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$2$$ $$4$$ $$0$$ $$q+(-\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$$
672.2.j.d $$12$$ $$5.366$$ 12.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}+(-\beta _{6}-\beta _{7})q^{5}+\beta _{1}q^{7}+\cdots$$
672.2.k.a $$8$$ $$5.366$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{3}+(-\beta _{2}-\beta _{3})q^{5}+(-1-\beta _{4}+\cdots)q^{7}+\cdots$$
672.2.k.b $$8$$ $$5.366$$ 8.0.49787136.1 $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{5}q^{5}-\beta _{2}q^{7}-3q^{9}+\beta _{3}q^{11}+\cdots$$
672.2.k.c $$8$$ $$5.366$$ 8.0.40960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{3}+\beta _{7}q^{5}+(-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots$$
672.2.k.d $$8$$ $$5.366$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{2}q^{3}+(\beta _{2}+\beta _{3})q^{5}+(1+\beta _{4}+\beta _{5}+\cdots)q^{7}+\cdots$$
672.2.p.a $$16$$ $$5.366$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{3}+\beta _{2}q^{5}+\beta _{7}q^{7}-q^{9}+\beta _{3}q^{11}+\cdots$$
672.2.q.a $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-3$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-1+3\zeta_{6})q^{7}+\cdots$$
672.2.q.b $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-1$$ $$-5$$ $$q+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+\zeta_{6})q^{7}+\cdots$$
672.2.q.c $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}+(2-3\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots$$
672.2.q.d $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+(2+\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots$$
672.2.q.e $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$4$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
672.2.q.f $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-3$$ $$-1$$ $$q+(1-\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
672.2.q.g $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$5$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}+(3-\zeta_{6})q^{7}+\cdots$$
672.2.q.h $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$-5$$ $$q+(1-\zeta_{6})q^{3}+(-2-\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots$$
672.2.q.i $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+(1-\zeta_{6})q^{3}+(-2+3\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots$$
672.2.q.j $$2$$ $$5.366$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$4$$ $$-5$$ $$q+(1-\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+\cdots$$
672.2.q.k $$6$$ $$5.366$$ 6.0.1156923.1 None None $$0$$ $$-3$$ $$0$$ $$-3$$ $$q+\beta _{2}q^{3}+(-\beta _{1}+\beta _{4})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$$
672.2.q.l $$6$$ $$5.366$$ 6.0.1156923.1 None None $$0$$ $$3$$ $$0$$ $$3$$ $$q-\beta _{2}q^{3}+(-\beta _{1}+\beta _{4})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
672.2.bb.a $$32$$ $$5.366$$ None None $$0$$ $$0$$ $$0$$ $$0$$
672.2.bc.a $$4$$ $$5.366$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-2\zeta_{12}+\zeta_{12}^{3})q^{3}+(-1+\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
672.2.bc.b $$4$$ $$5.366$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{5}+(2\zeta_{12}+\cdots)q^{7}+\cdots$$