Results (1-50 of 157 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3900.1.f.a $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+\zeta_{6}q^{13}+\cdots$$
3900.1.f.b $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{23}+\cdots$$
3900.1.f.c $$2$$ $$1.946$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{9}-q^{11}-iq^{13}+\cdots$$
3900.1.f.d $$2$$ $$1.946$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}-q^{9}+q^{11}-iq^{13}+\cdots$$
3900.1.f.e $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{23}+\cdots$$
3900.1.f.f $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots$$
3900.1.o.a $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}+\zeta_{12}^{5})q^{7}-q^{9}+\cdots$$
3900.1.o.b $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{3}q^{13}+\cdots$$
3900.1.t.a $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}-\zeta_{8}q^{11}+\cdots$$
3900.1.t.b $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{3}+(-\zeta_{24}^{5}-\zeta_{24}^{7})q^{7}+\cdots$$
3900.1.w.a $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-65})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}-q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{6}-\zeta_{8}^{3}q^{8}+\cdots$$
3900.1.w.b $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-65})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{6}+\cdots$$
3900.1.w.c $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-65})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}-\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{6}+\cdots$$
3900.1.w.d $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-65})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{6}-\zeta_{8}^{3}q^{8}+\cdots$$
3900.1.w.e $$8$$ $$1.946$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{2}q^{4}-\zeta_{16}^{3}q^{6}+\cdots$$
3900.1.w.f $$8$$ $$1.946$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots$$
3900.1.bo.a $$4$$ $$1.946$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}q^{3}-q^{7}+\zeta_{8}^{2}q^{9}-\zeta_{8}q^{11}+\cdots$$
3900.1.bo.b $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{3}q^{3}+(-\zeta_{24}+\zeta_{24}^{11})q^{7}+\cdots$$
3900.1.br.a $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{13}+\cdots$$
3900.1.br.b $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{7}+\cdots$$
3900.1.bu.a $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{13}+\cdots$$
3900.1.bu.b $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}q^{13}+\cdots$$
3900.1.bu.c $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+\cdots$$
3900.1.ca.a $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{13}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
3900.1.ca.b $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$3$$ $$q+\zeta_{6}^{2}q^{3}+(1-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots$$
3900.1.ca.c $$2$$ $$1.946$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
3900.1.cb.a $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}-\zeta_{12}q^{13}+\cdots$$
3900.1.cb.b $$4$$ $$1.946$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{5}q^{13}+\cdots$$
3900.1.cu.a $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{7}-\zeta_{24}^{2}q^{9}+\cdots$$
3900.1.cu.b $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{3}+(\zeta_{24}^{5}+\zeta_{24}^{11})q^{7}-\zeta_{24}^{2}q^{9}+\cdots$$
3900.1.cz.a $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ None $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots$$
3900.1.cz.b $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ None $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots$$
3900.1.dp.a $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{3}-\zeta_{24}^{5})q^{7}+\zeta_{24}^{10}q^{9}+\cdots$$
3900.1.dp.b $$8$$ $$1.946$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{5}q^{3}+(\zeta_{24}-\zeta_{24}^{7})q^{7}+\zeta_{24}^{10}q^{9}+\cdots$$
3900.1.el.a $$32$$ $$1.946$$ $$\Q(\zeta_{80})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{80}^{31}q^{2}+\zeta_{80}^{6}q^{3}-\zeta_{80}^{22}q^{4}+\cdots$$
3900.1.el.b $$32$$ $$1.946$$ $$\Q(\zeta_{80})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{80}^{35}q^{2}+\zeta_{80}^{2}q^{3}-\zeta_{80}^{30}q^{4}+\cdots$$
3900.2.a.a $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$-$$ $$q-q^{3}-2q^{7}+q^{9}-q^{13}+6q^{17}+\cdots$$
3900.2.a.b $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}-3q^{17}+\cdots$$
3900.2.a.c $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$+$$ $$q-q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}+7q^{17}+\cdots$$
3900.2.a.d $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}+3q^{11}-q^{13}-3q^{17}+\cdots$$
3900.2.a.e $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $$+$$ $$q-q^{3}+2q^{7}+q^{9}-6q^{11}+q^{13}+\cdots$$
3900.2.a.f $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$3$$ $$-$$ $$q-q^{3}+3q^{7}+q^{9}+q^{11}+q^{13}+3q^{17}+\cdots$$
3900.2.a.g $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$3$$ $$-$$ $$q-q^{3}+3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots$$
3900.2.a.h $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-3$$ $$+$$ $$q+q^{3}-3q^{7}+q^{9}+q^{11}-q^{13}-3q^{17}+\cdots$$
3900.2.a.i $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-3$$ $$+$$ $$q+q^{3}-3q^{7}+q^{9}+q^{11}-q^{13}+3q^{17}+\cdots$$
3900.2.a.j $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-3$$ $$-$$ $$q+q^{3}-3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$$
3900.2.a.k $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q+q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}-7q^{17}+\cdots$$
3900.2.a.l $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q+q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}+3q^{17}+\cdots$$
3900.2.a.m $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $$+$$ $$q+q^{3}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$$
3900.2.a.n $$1$$ $$31.142$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+q^{3}+2q^{7}+q^{9}-2q^{11}+q^{13}+\cdots$$