## Results (1-50 of 255 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
900.1.c.a $$1$$ $$0.449$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{15})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{16}+2q^{17}-q^{32}+\cdots$$
900.1.c.b $$1$$ $$0.449$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{15})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{16}-2q^{17}+q^{32}+\cdots$$
900.1.l.a $$4$$ $$0.449$$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{7}-\beta _{3}q^{13}-\beta _{2}q^{19}+q^{31}+\cdots$$
900.1.m.a $$4$$ $$0.449$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}+(1-\zeta_{8}^{2}+\cdots)q^{13}+\cdots$$
900.1.t.a $$4$$ $$0.449$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+q^{6}+\cdots$$
900.1.x.a $$4$$ $$0.449$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{10}^{4}q^{2}-\zeta_{10}^{3}q^{4}-\zeta_{10}^{2}q^{5}+\cdots$$
900.1.bb.a $$8$$ $$0.449$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}+\zeta_{20}^{9}q^{5}+\cdots$$
900.1.bd.a $$8$$ $$0.449$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{10}q^{4}+\cdots$$
900.1.bh.a $$16$$ $$0.449$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{11}q^{2}-\zeta_{40}^{2}q^{4}+\zeta_{40}^{3}q^{5}+\cdots$$
900.2.a.a $$1$$ $$7.187$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}+4q^{11}+4q^{17}+4q^{23}+6q^{29}+\cdots$$
900.2.a.b $$1$$ $$7.187$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}-2q^{13}-6q^{17}-4q^{19}+6q^{23}+\cdots$$
900.2.a.c $$1$$ $$7.187$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{7}-6q^{11}+5q^{13}+6q^{17}+5q^{19}+\cdots$$
900.2.a.d $$1$$ $$7.187$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}-7q^{13}-7q^{19}+11q^{31}-10q^{37}+\cdots$$
900.2.a.e $$1$$ $$7.187$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-6q^{11}-5q^{13}-6q^{17}+5q^{19}+\cdots$$
900.2.a.f $$1$$ $$7.187$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+7q^{13}-7q^{19}+11q^{31}+10q^{37}+\cdots$$
900.2.a.g $$1$$ $$7.187$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+4q^{7}-2q^{13}+8q^{19}-4q^{31}+10q^{37}+\cdots$$
900.2.a.h $$1$$ $$7.187$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+4q^{7}+4q^{11}-4q^{17}-4q^{23}+6q^{29}+\cdots$$
900.2.d.a $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-6q^{11}+5iq^{13}-6iq^{17}+\cdots$$
900.2.d.b $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}+iq^{13}-8q^{19}-4q^{31}+\cdots$$
900.2.d.c $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-iq^{13}+3iq^{17}+4q^{19}+\cdots$$
900.2.d.d $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-7iq^{13}+7q^{19}+11q^{31}+\cdots$$
900.2.e.a $$2$$ $$7.187$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-2q^{4}+2\beta q^{8}-6q^{13}+4q^{16}+\cdots$$
900.2.e.b $$2$$ $$7.187$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}-2q^{4}-2\beta q^{8}+4q^{13}+4q^{16}+\cdots$$
900.2.e.c $$2$$ $$7.187$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-2q^{4}+2\beta q^{8}+6q^{13}+4q^{16}+\cdots$$
900.2.e.d $$8$$ $$7.187$$ 8.0.18939904.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(1-\beta _{3}-\beta _{4}-\beta _{7})q^{4}+(-2+\cdots)q^{7}+\cdots$$
900.2.e.e $$8$$ $$7.187$$ 8.0.64000000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-\beta _{2}q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
900.2.e.f $$8$$ $$7.187$$ 8.0.207360000.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1-\beta _{5})q^{4}+(\beta _{2}+\beta _{7})q^{7}+\cdots$$
900.2.e.g $$8$$ $$7.187$$ 8.0.64000000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{4}q^{4}+(-\beta _{4}+\beta _{7})q^{7}+\cdots$$
900.2.h.a $$4$$ $$7.187$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+2q^{4}-2\zeta_{8}^{3}q^{8}+2\zeta_{8}q^{13}+\cdots$$
900.2.h.b $$8$$ $$7.187$$ 8.0.18939904.2 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\beta _{3})q^{2}+(\beta _{3}+\beta _{5})q^{4}+(-2\beta _{4}+\cdots)q^{7}+\cdots$$
900.2.h.c $$8$$ $$7.187$$ 8.0.18939904.2 None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{3})q^{2}+(\beta _{3}+\beta _{5})q^{4}+(-2\beta _{4}+\cdots)q^{7}+\cdots$$
900.2.h.d $$16$$ $$7.187$$ $$\Q(\zeta_{40})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{9}q^{2}+\zeta_{40}^{3}q^{4}+(\zeta_{40}^{5}+\zeta_{40}^{10}+\cdots)q^{7}+\cdots$$
900.2.i.a $$2$$ $$7.187$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$0$$ $$-1$$ $$q+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{7}+(3+\cdots)q^{9}+\cdots$$
900.2.i.b $$2$$ $$7.187$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+(1-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{7}-3q^{9}+\cdots$$
900.2.i.c $$6$$ $$7.187$$ 6.0.954288.1 None None $$0$$ $$1$$ $$0$$ $$3$$ $$q-\beta _{4}q^{3}+(-\beta _{1}-\beta _{2}-\beta _{3}-\beta _{5})q^{7}+\cdots$$
900.2.i.d $$8$$ $$7.187$$ 8.0.142635249.1 None None $$0$$ $$-1$$ $$0$$ $$1$$ $$q+\beta _{3}q^{3}+(-\beta _{3}+\beta _{4}+\beta _{5}+\beta _{7})q^{7}+\cdots$$
900.2.i.e $$8$$ $$7.187$$ 8.0.142635249.1 None None $$0$$ $$1$$ $$0$$ $$-1$$ $$q-\beta _{2}q^{3}+(2\beta _{2}+\beta _{5}-\beta _{6}-\beta _{7})q^{7}+\cdots$$
900.2.i.f $$12$$ $$7.187$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(\beta _{5}+\beta _{11})q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$$
900.2.j.a $$4$$ $$7.187$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+(-2+2\zeta_{8})q^{7}+2\zeta_{8}^{2}q^{11}+(-3+\cdots)q^{13}+\cdots$$
900.2.j.b $$8$$ $$7.187$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{7}-\zeta_{24}^{5}q^{11}-\zeta_{24}q^{13}+\cdots$$
900.2.k.a $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$ None $$-2$$ $$0$$ $$0$$ $$-6$$ $$q+(-1+i)q^{2}-2iq^{4}+(-3+3i)q^{7}+\cdots$$
900.2.k.b $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1-i)q^{2}+2iq^{4}+(2-2i)q^{8}+\cdots$$
900.2.k.c $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1-i)q^{2}+2iq^{4}+(2-2i)q^{8}+\cdots$$
900.2.k.d $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+i)q^{2}+2iq^{4}+(-2+2i)q^{8}+\cdots$$
900.2.k.e $$2$$ $$7.187$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$ None $$2$$ $$0$$ $$0$$ $$6$$ $$q+(1-i)q^{2}-2iq^{4}+(3-3i)q^{7}+(-2+\cdots)q^{8}+\cdots$$
900.2.k.f $$8$$ $$7.187$$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{3})q^{2}+(\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{4}+\cdots$$
900.2.k.g $$8$$ $$7.187$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{4}q^{2}+(-2+\zeta_{24}^{2}-\zeta_{24}^{6}+\cdots)q^{4}+\cdots$$
900.2.k.h $$8$$ $$7.187$$ 8.0.157351936.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{4}+\beta _{6})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots$$
900.2.k.i $$8$$ $$7.187$$ 8.0.3317760000.5 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(\beta _{2}-\beta _{4})q^{4}+(\beta _{1}-\beta _{3})q^{8}+\cdots$$
900.2.k.j $$8$$ $$7.187$$ 8.0.3317760000.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(-\beta _{2}+\beta _{3})q^{4}+(\beta _{4}+2\beta _{6}+\cdots)q^{8}+\cdots$$