## Results (displaying matches 1-50 of 251) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
99.1.h.a $$2$$ $$0.049$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots$$
99.2.a.a $$1$$ $$0.791$$ $$\Q$$ None None $$-1$$ $$0$$ $$-4$$ $$-2$$ $$+$$ $$q-q^{2}-q^{4}-4q^{5}-2q^{7}+3q^{8}+4q^{10}+\cdots$$
99.2.a.b $$1$$ $$0.791$$ $$\Q$$ None None $$-1$$ $$0$$ $$2$$ $$4$$ $$-$$ $$q-q^{2}-q^{4}+2q^{5}+4q^{7}+3q^{8}-2q^{10}+\cdots$$
99.2.a.c $$1$$ $$0.791$$ $$\Q$$ None None $$1$$ $$0$$ $$4$$ $$-2$$ $$-$$ $$q+q^{2}-q^{4}+4q^{5}-2q^{7}-3q^{8}+4q^{10}+\cdots$$
99.2.a.d $$1$$ $$0.791$$ $$\Q$$ None None $$2$$ $$0$$ $$-1$$ $$-2$$ $$-$$ $$q+2q^{2}+2q^{4}-q^{5}-2q^{7}-2q^{10}+\cdots$$
99.2.d.a $$4$$ $$0.791$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}+\beta _{2}q^{8}+\cdots$$
99.2.e.a $$2$$ $$0.791$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-3$$ $$-1$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
99.2.e.b $$2$$ $$0.791$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$3$$ $$4$$ $$q+(-1-\zeta_{6})q^{3}+2\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots$$
99.2.e.c $$2$$ $$0.791$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$2$$ $$-4$$ $$q+(2-2\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
99.2.e.d $$6$$ $$0.791$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$0$$ $$-3$$ $$3$$ $$q+(\zeta_{18}^{2}-\zeta_{18}^{3}-\zeta_{18}^{4}+\zeta_{18}^{5})q^{2}+\cdots$$
99.2.e.e $$8$$ $$0.791$$ 8.0.508277025.1 None None $$-1$$ $$5$$ $$-4$$ $$-1$$ $$q+(-\beta _{2}-\beta _{7})q^{2}+(1+\beta _{7})q^{3}+(-2+\cdots)q^{4}+\cdots$$
99.2.f.a $$4$$ $$0.791$$ $$\Q(\zeta_{10})$$ None None $$1$$ $$0$$ $$3$$ $$1$$ $$q+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
99.2.f.b $$4$$ $$0.791$$ $$\Q(\zeta_{10})$$ None None $$3$$ $$0$$ $$1$$ $$-3$$ $$q+(1-\zeta_{10}^{3})q^{2}+(1-\zeta_{10})q^{4}+(1-2\zeta_{10}+\cdots)q^{5}+\cdots$$
99.2.f.c $$8$$ $$0.791$$ 8.0.484000000.9 None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+\beta _{1}q^{2}+(1+2\beta _{2}+\beta _{3})q^{4}+(\beta _{4}+\beta _{7})q^{5}+\cdots$$
99.2.g.a $$4$$ $$0.791$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$-9$$ $$0$$ $$q-\beta _{1}q^{3}+(2-2\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$$
99.2.g.b $$16$$ $$0.791$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{6}-\beta _{7}+\beta _{9}+\beta _{12}+\beta _{13}+\cdots)q^{3}+\cdots$$
99.2.j.a $$16$$ $$0.791$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{8}-\beta _{10}-\beta _{11}+\beta _{12}-\beta _{14}+2\beta _{15})q^{2}+\cdots$$
99.2.m.a $$8$$ $$0.791$$ $$\Q(\zeta_{15})$$ None None $$-4$$ $$3$$ $$6$$ $$-1$$ $$q+(1-2\zeta_{15}^{2}+\zeta_{15}^{3}-\zeta_{15}^{4}+\zeta_{15}^{5}+\cdots)q^{2}+\cdots$$
99.2.m.b $$72$$ $$0.791$$ None None $$-1$$ $$-12$$ $$-8$$ $$-2$$
99.2.p.a $$80$$ $$0.791$$ None None $$-15$$ $$-3$$ $$-6$$ $$-5$$
99.3.b.a $$8$$ $$2.698$$ 8.0.$$\cdots$$.6 None None $$0$$ $$0$$ $$0$$ $$16$$ $$q-\beta _{2}q^{2}+(-2-\beta _{3})q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$$
99.3.c.a $$1$$ $$2.698$$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $$q+4q^{4}+q^{5}+11q^{11}+2^{4}q^{16}+4q^{20}+\cdots$$
99.3.c.b $$4$$ $$2.698$$ 4.0.39744.5 None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{3}q^{2}+(-5-2\beta _{1})q^{4}+(-1-3\beta _{1}+\cdots)q^{5}+\cdots$$
99.3.c.c $$4$$ $$2.698$$ $$\Q(\sqrt{-3}, \sqrt{46})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+q^{4}+\beta _{1}q^{5}-\beta _{3}q^{7}-5\beta _{2}q^{8}+\cdots$$
99.3.h.a $$4$$ $$2.698$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$5$$ $$-1$$ $$0$$ $$q+(2\beta _{2}-\beta _{3})q^{3}-4\beta _{2}q^{4}+(3-6\beta _{1}+\cdots)q^{5}+\cdots$$
99.3.h.b $$40$$ $$2.698$$ None None $$0$$ $$-6$$ $$2$$ $$0$$
99.3.i.a $$40$$ $$2.698$$ None None $$0$$ $$-1$$ $$-9$$ $$2$$
99.3.k.a $$4$$ $$2.698$$ $$\Q(\zeta_{10})$$ None None $$5$$ $$0$$ $$4$$ $$10$$ $$q+(2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+(-4+\cdots)q^{4}+\cdots$$
99.3.k.b $$16$$ $$2.698$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$30$$ $$q+\beta _{5}q^{2}+(-1-3\beta _{2}-\beta _{4}-\beta _{6}+\beta _{11}+\cdots)q^{4}+\cdots$$
99.3.k.c $$16$$ $$2.698$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$-30$$ $$q+(-1-\beta _{2}+\beta _{5}-\beta _{7}-\beta _{8})q^{2}+(-\beta _{1}+\cdots)q^{4}+\cdots$$
99.3.l.a $$32$$ $$2.698$$ None None $$0$$ $$0$$ $$0$$ $$-16$$
99.3.n.a $$176$$ $$2.698$$ None None $$-9$$ $$-3$$ $$-18$$ $$-3$$
99.3.o.a $$176$$ $$2.698$$ None None $$-5$$ $$-9$$ $$-6$$ $$-5$$
99.4.a.a $$1$$ $$5.841$$ $$\Q$$ None None $$1$$ $$0$$ $$4$$ $$-26$$ $$-$$ $$q+q^{2}-7q^{4}+4q^{5}-26q^{7}-15q^{8}+\cdots$$
99.4.a.b $$1$$ $$5.841$$ $$\Q$$ None None $$5$$ $$0$$ $$14$$ $$-32$$ $$+$$ $$q+5q^{2}+17q^{4}+14q^{5}-2^{5}q^{7}+45q^{8}+\cdots$$
99.4.a.c $$2$$ $$5.841$$ $$\Q(\sqrt{3})$$ None None $$-2$$ $$0$$ $$-2$$ $$20$$ $$+$$ $$q+(-1+\beta )q^{2}+(-4-2\beta )q^{4}+(-1+\cdots)q^{5}+\cdots$$
99.4.a.d $$2$$ $$5.841$$ $$\Q(\sqrt{3})$$ None None $$-2$$ $$0$$ $$-20$$ $$-16$$ $$-$$ $$q+(-1+\beta )q^{2}+(5-2\beta )q^{4}+(-10+\cdots)q^{5}+\cdots$$
99.4.a.e $$2$$ $$5.841$$ $$\Q(\sqrt{33})$$ None None $$-1$$ $$0$$ $$-16$$ $$2$$ $$-$$ $$q-\beta q^{2}+\beta q^{4}+(-10+4\beta )q^{5}+(2+\cdots)q^{7}+\cdots$$
99.4.a.f $$2$$ $$5.841$$ $$\Q(\sqrt{97})$$ None None $$-1$$ $$0$$ $$14$$ $$24$$ $$+$$ $$q-\beta q^{2}+(2^{4}+\beta )q^{4}+(6+2\beta )q^{5}+(14+\cdots)q^{7}+\cdots$$
99.4.a.g $$2$$ $$5.841$$ $$\Q(\sqrt{3})$$ None None $$2$$ $$0$$ $$20$$ $$-16$$ $$+$$ $$q+(1+\beta )q^{2}+(5+2\beta )q^{4}+(10-\beta )q^{5}+\cdots$$
99.4.d.a $$2$$ $$5.841$$ $$\Q(\sqrt{-2})$$ None None $$-6$$ $$0$$ $$0$$ $$0$$ $$q-3q^{2}+q^{4}+14\beta q^{5}-12\beta q^{7}+21q^{8}+\cdots$$
99.4.d.b $$2$$ $$5.841$$ $$\Q(\sqrt{-2})$$ None None $$6$$ $$0$$ $$0$$ $$0$$ $$q+3q^{2}+q^{4}+14\beta q^{5}+12\beta q^{7}-21q^{8}+\cdots$$
99.4.d.c $$8$$ $$5.841$$ 8.0.$$\cdots$$.4 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(5+\beta _{3})q^{4}-5\beta _{6}q^{5}+(-2\beta _{4}+\cdots)q^{7}+\cdots$$
99.4.e.a $$2$$ $$5.841$$ $$\Q(\sqrt{-3})$$ None None $$4$$ $$-9$$ $$19$$ $$26$$ $$q+(4-4\zeta_{6})q^{2}+(-6+3\zeta_{6})q^{3}-8\zeta_{6}q^{4}+\cdots$$
99.4.e.b $$24$$ $$5.841$$ None None $$-4$$ $$6$$ $$2$$ $$8$$
99.4.e.c $$34$$ $$5.841$$ None None $$0$$ $$5$$ $$3$$ $$-22$$
99.4.f.a $$4$$ $$5.841$$ $$\Q(\zeta_{10})$$ None None $$-10$$ $$0$$ $$21$$ $$37$$ $$q+(-2-2\zeta_{10}+2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots$$
99.4.f.b $$8$$ $$5.841$$ 8.0.682515625.5 None None $$6$$ $$0$$ $$-9$$ $$3$$ $$q+(\beta _{1}+2\beta _{2}-\beta _{3}-\beta _{5}-\beta _{6})q^{2}+(2+\cdots)q^{4}+\cdots$$
99.4.f.c $$8$$ $$5.841$$ 8.0.$$\cdots$$.1 None None $$7$$ $$0$$ $$7$$ $$-35$$ $$q+(1-\beta _{1}-\beta _{2}+\beta _{4})q^{2}+(3-2\beta _{1}+\cdots)q^{4}+\cdots$$
99.4.f.d $$12$$ $$5.841$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-28$$ $$12$$ $$q+(1+\beta _{3}+\beta _{5}+\beta _{6}+\beta _{7})q^{2}+(-1+\cdots)q^{4}+\cdots$$
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