## Results (displaying matches 1-50 of 68) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
804.1.h.a $$1$$ $$0.401$$ $$\Q$$ $$\Q(\sqrt{-201})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
804.1.h.b $$1$$ $$0.401$$ $$\Q$$ $$\Q(\sqrt{-201})$$ None $$-1$$ $$1$$ $$1$$ $$-1$$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$$
804.1.h.c $$1$$ $$0.401$$ $$\Q$$ $$\Q(\sqrt{-201})$$ None $$1$$ $$-1$$ $$-1$$ $$1$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$$
804.1.h.d $$1$$ $$0.401$$ $$\Q$$ $$\Q(\sqrt{-201})$$ None $$1$$ $$1$$ $$-1$$ $$-1$$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
804.1.k.a $$2$$ $$0.401$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $$q+q^{3}-\zeta_{6}q^{7}+q^{9}-\zeta_{6}^{2}q^{13}+\zeta_{6}^{2}q^{19}+\cdots$$
804.1.be.a $$20$$ $$0.401$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$2$$ $$q+\zeta_{66}^{30}q^{3}+(-\zeta_{66}^{17}+\zeta_{66}^{26}+\cdots)q^{7}+\cdots$$
804.2.a.a $$1$$ $$6.420$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$3$$ $$+$$ $$q-q^{3}-3q^{5}+3q^{7}+q^{9}-2q^{11}+\cdots$$
804.2.a.b $$1$$ $$6.420$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+q^{9}-2q^{11}-4q^{13}-3q^{17}+\cdots$$
804.2.a.c $$1$$ $$6.420$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$0$$ $$-$$ $$q-q^{3}+4q^{5}+q^{9}+2q^{13}-4q^{15}+\cdots$$
804.2.a.d $$1$$ $$6.420$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-3$$ $$+$$ $$q+q^{3}-q^{5}-3q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
804.2.a.e $$3$$ $$6.420$$ 3.3.1076.1 None None $$0$$ $$-3$$ $$-3$$ $$-5$$ $$-$$ $$q-q^{3}+(-1-\beta _{1})q^{5}+(-2-\beta _{1}+\beta _{2})q^{7}+\cdots$$
804.2.a.f $$5$$ $$6.420$$ 5.5.24571284.1 None None $$0$$ $$5$$ $$3$$ $$5$$ $$-$$ $$q+q^{3}+(1-\beta _{1})q^{5}+(1-\beta _{2})q^{7}+q^{9}+\cdots$$
804.2.c.a $$4$$ $$6.420$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+\zeta_{8}^{3})q^{3}-2q^{4}-\zeta_{8}^{2}q^{5}+\cdots$$
804.2.c.b $$128$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.e.a $$34$$ $$6.420$$ None None $$0$$ $$-34$$ $$0$$ $$-4$$
804.2.e.b $$34$$ $$6.420$$ None None $$0$$ $$34$$ $$0$$ $$4$$
804.2.g.a $$2$$ $$6.420$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}-2\zeta_{6}q^{7}-3q^{9}-4\zeta_{6}q^{13}+\cdots$$
804.2.g.b $$4$$ $$6.420$$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+(2\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{7}+(2+\cdots)q^{9}+\cdots$$
804.2.g.c $$16$$ $$6.420$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{12}q^{5}+\beta _{10}q^{7}+\beta _{2}q^{9}+\cdots$$
804.2.i.a $$2$$ $$6.420$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$-4$$ $$3$$ $$q-q^{3}-2q^{5}+3\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots$$
804.2.i.b $$2$$ $$6.420$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$4$$ $$-5$$ $$q-q^{3}+2q^{5}-5\zeta_{6}q^{7}+q^{9}-5\zeta_{6}q^{11}+\cdots$$
804.2.i.c $$2$$ $$6.420$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$4$$ $$3$$ $$q+q^{3}+2q^{5}+3\zeta_{6}q^{7}+q^{9}-\zeta_{6}q^{11}+\cdots$$
804.2.i.d $$8$$ $$6.420$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$-8$$ $$2$$ $$1$$ $$q-q^{3}+\beta _{6}q^{5}+(-\beta _{1}+\beta _{6})q^{7}+q^{9}+\cdots$$
804.2.i.e $$8$$ $$6.420$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$8$$ $$-6$$ $$0$$ $$q+q^{3}+(-1-\beta _{2}+\beta _{5}-\beta _{6})q^{5}-\beta _{3}q^{7}+\cdots$$
804.2.j.a $$68$$ $$6.420$$ None None $$0$$ $$-68$$ $$0$$ $$4$$
804.2.j.b $$68$$ $$6.420$$ None None $$0$$ $$68$$ $$0$$ $$-4$$
804.2.l.a $$264$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.o.a $$2$$ $$6.420$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+(-1+2\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{7}+\cdots$$
804.2.o.b $$4$$ $$6.420$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$8$$ $$6$$ $$q+(-1-\beta _{3})q^{3}+2q^{5}+(2+2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
804.2.o.c $$4$$ $$6.420$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$4$$ $$-8$$ $$6$$ $$q+(1+\beta _{3})q^{3}-2q^{5}+(2-2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
804.2.o.d $$36$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.q.a $$60$$ $$6.420$$ None None $$0$$ $$-6$$ $$-2$$ $$-2$$
804.2.q.b $$60$$ $$6.420$$ None None $$0$$ $$6$$ $$2$$ $$2$$
804.2.s.a $$20$$ $$6.420$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{33}^{13}q^{3}+(-2\zeta_{33}^{7}-2\zeta_{33}^{8}+\cdots)q^{7}+\cdots$$
804.2.s.b $$200$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.u.a $$340$$ $$6.420$$ None None $$0$$ $$-34$$ $$0$$ $$-4$$
804.2.u.b $$340$$ $$6.420$$ None None $$0$$ $$34$$ $$0$$ $$4$$
804.2.w.a $$1320$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.y.a $$100$$ $$6.420$$ None None $$0$$ $$-10$$ $$2$$ $$-3$$
804.2.y.b $$120$$ $$6.420$$ None None $$0$$ $$12$$ $$-2$$ $$1$$
804.2.ba.a $$20$$ $$6.420$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$6$$ $$q+(-2\zeta_{33}-\zeta_{33}^{12})q^{3}+(1-\zeta_{33}+\cdots)q^{7}+\cdots$$
804.2.ba.b $$440$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$-12$$
804.2.bd.a $$2640$$ $$6.420$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.2.bf.a $$680$$ $$6.420$$ None None $$0$$ $$-68$$ $$0$$ $$4$$
804.2.bf.b $$680$$ $$6.420$$ None None $$0$$ $$68$$ $$0$$ $$-4$$
804.3.b.a $$22$$ $$21.907$$ None None $$0$$ $$0$$ $$0$$ $$0$$
804.3.d.a $$44$$ $$21.907$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
804.3.k.a $$2$$ $$21.907$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-6$$ $$0$$ $$-2$$ $$q-3q^{3}+(-2+2\zeta_{6})q^{7}+9q^{9}+\zeta_{6}q^{13}+\cdots$$
804.3.k.b $$88$$ $$21.907$$ None None $$0$$ $$6$$ $$0$$ $$8$$
804.3.m.a $$22$$ $$21.907$$ None None $$0$$ $$0$$ $$0$$ $$9$$
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