## Results (displaying matches 1-50 of 235) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1800.1.c.a $$4$$ $$0.898$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{7}+(-\zeta_{8}-\zeta_{8}^{3})q^{11}+\zeta_{8}^{2}q^{13}+\cdots$$
1800.1.g.a $$1$$ $$0.898$$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{11}+q^{16}+q^{17}+\cdots$$
1800.1.g.b $$1$$ $$0.898$$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{11}+q^{16}-q^{17}+\cdots$$
1800.1.g.c $$2$$ $$0.898$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+q^{16}+q^{19}+\cdots$$
1800.1.l.a $$2$$ $$0.898$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}-\beta q^{11}+q^{13}+\beta q^{17}+q^{19}+\cdots$$
1800.1.l.b $$2$$ $$0.898$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}-\beta q^{11}-q^{13}-\beta q^{17}+q^{19}+\cdots$$
1800.1.p.a $$2$$ $$0.898$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+q^{11}+q^{16}+\cdots$$
1800.1.r.a $$4$$ $$0.898$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(-1-\zeta_{8}^{2})q^{7}+\cdots$$
1800.1.r.b $$4$$ $$0.898$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2})q^{7}+\cdots$$
1800.1.u.a $$4$$ $$0.898$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-30})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{8}-q^{16}+\cdots$$
1800.1.u.b $$4$$ $$0.898$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2})q^{7}+\cdots$$
1800.1.ba.a $$4$$ $$0.898$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
1800.1.ba.b $$4$$ $$0.898$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
1800.1.ba.c $$4$$ $$0.898$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+q^{6}+\cdots$$
1800.1.bk.a $$2$$ $$0.898$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+q^{6}+q^{8}+\cdots$$
1800.1.bk.b $$2$$ $$0.898$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{6}+\cdots$$
1800.1.bk.c $$2$$ $$0.898$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{6}+\cdots$$
1800.1.bk.d $$2$$ $$0.898$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
1800.1.bk.e $$2$$ $$0.898$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+q^{6}-q^{8}+\cdots$$
1800.1.cj.a $$8$$ $$0.898$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{11}q^{2}-\zeta_{24}^{9}q^{3}-\zeta_{24}^{10}q^{4}+\cdots$$
1800.1.cj.b $$8$$ $$0.898$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{10}q^{4}+\cdots$$
1800.1.cj.c $$8$$ $$0.898$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{11}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{10}q^{4}+\cdots$$
1800.1.cr.a $$16$$ $$0.898$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{40}^{19}q^{2}-\zeta_{40}^{18}q^{4}+\zeta_{40}^{9}q^{5}+\cdots$$
1800.1.dg.a $$16$$ $$0.898$$ $$\Q(\zeta_{60})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\zeta_{60}^{29}q^{2}+\zeta_{60}^{18}q^{3}-\zeta_{60}^{28}q^{4}+\cdots$$
1800.2.a.a $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-5$$ $$-$$ $$q-5q^{7}+6q^{11}-3q^{13}+2q^{17}+q^{19}+\cdots$$
1800.2.a.b $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}-4q^{11}+4q^{13}+6q^{17}-4q^{19}+\cdots$$
1800.2.a.c $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}+6q^{13}-2q^{17}+4q^{19}-8q^{23}+\cdots$$
1800.2.a.d $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q-4q^{7}+4q^{11}+4q^{13}-6q^{17}-4q^{19}+\cdots$$
1800.2.a.e $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q-3q^{7}-2q^{11}+3q^{13}+6q^{17}-7q^{19}+\cdots$$
1800.2.a.f $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-2q^{7}-2q^{11}-4q^{13}-2q^{17}+4q^{19}+\cdots$$
1800.2.a.g $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}-2q^{11}+2q^{13}-6q^{17}+8q^{19}+\cdots$$
1800.2.a.h $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-2q^{7}-q^{11}-4q^{13}+5q^{17}+q^{19}+\cdots$$
1800.2.a.i $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+2q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots$$
1800.2.a.j $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+4q^{11}-4q^{13}-4q^{19}-2q^{23}+\cdots$$
1800.2.a.k $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}-4q^{11}+q^{13}+4q^{17}+q^{19}+\cdots$$
1800.2.a.l $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{7}+4q^{11}+q^{13}-4q^{17}+q^{19}+\cdots$$
1800.2.a.m $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots$$
1800.2.a.n $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+4q^{11}-6q^{13}-6q^{17}-4q^{19}+\cdots$$
1800.2.a.o $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-4q^{11}-q^{13}-4q^{17}+q^{19}+\cdots$$
1800.2.a.p $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+4q^{11}-q^{13}+4q^{17}+q^{19}+\cdots$$
1800.2.a.q $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+2q^{7}-2q^{11}-2q^{13}+6q^{17}+8q^{19}+\cdots$$
1800.2.a.r $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+2q^{7}-q^{11}+4q^{13}-5q^{17}+q^{19}+\cdots$$
1800.2.a.s $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+2q^{7}+4q^{11}+4q^{13}-4q^{19}+2q^{23}+\cdots$$
1800.2.a.t $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$3$$ $$+$$ $$q+3q^{7}-2q^{11}-3q^{13}-6q^{17}-7q^{19}+\cdots$$
1800.2.a.u $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$+$$ $$q+4q^{7}-4q^{11}-4q^{13}-6q^{17}-4q^{19}+\cdots$$
1800.2.a.v $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+4q^{7}-4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots$$
1800.2.a.w $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+4q^{7}+4q^{11}-4q^{13}+6q^{17}-4q^{19}+\cdots$$
1800.2.a.x $$1$$ $$14.373$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$5$$ $$-$$ $$q+5q^{7}+6q^{11}+3q^{13}-2q^{17}+q^{19}+\cdots$$
1800.2.b.a $$2$$ $$14.373$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}-2q^{4}+3\beta q^{7}-2\beta q^{8}+\beta q^{11}+\cdots$$
1800.2.b.b $$2$$ $$14.373$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-2q^{4}+3\beta q^{7}+2\beta q^{8}-\beta q^{11}+\cdots$$
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