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## Results (1-50 of 239 matches)

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Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
300.1.b.a $$2$$ $$0.150$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{9}+iq^{13}+q^{19}+\cdots$$
300.1.g.a $$1$$ $$0.150$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-q^{3}+q^{7}+q^{9}+q^{13}-q^{19}-q^{21}+\cdots$$
300.1.g.b $$1$$ $$0.150$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+q^{3}-q^{7}+q^{9}-q^{13}-q^{19}-q^{21}+\cdots$$
300.1.l.a $$4$$ $$0.150$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-q^{6}+\cdots$$
300.2.a.a $$1$$ $$2.396$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-4$$ $$+$$ $$q-q^{3}-4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots$$
300.2.a.b $$1$$ $$2.396$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}+6q^{11}-5q^{13}+\cdots$$
300.2.a.c $$1$$ $$2.396$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q+q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots$$
300.2.a.d $$1$$ $$2.396$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$4$$ $$-$$ $$q+q^{3}+4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots$$
300.2.d.a $$2$$ $$2.396$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{7}-q^{9}+6q^{11}+5iq^{13}+\cdots$$
300.2.e.a $$4$$ $$2.396$$ $$\Q(\sqrt{3}, \sqrt{-5})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3})q^{3}+\beta _{2}q^{4}+(2+\cdots)q^{6}+\cdots$$
300.2.e.b $$4$$ $$2.396$$ $$\Q(\sqrt{2}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+2q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.2.e.c $$8$$ $$2.396$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(-\beta _{6}+\beta _{7})q^{3}+(\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
300.2.e.d $$8$$ $$2.396$$ 8.0.4521217600.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{2}q^{3}+(\beta _{1}-\beta _{2}-\beta _{3})q^{4}+\cdots$$
300.2.e.e $$8$$ $$2.396$$ 8.0.4521217600.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+\beta _{3}q^{3}+(\beta _{1}-\beta _{2}-\beta _{3})q^{4}+\cdots$$
300.2.h.a $$8$$ $$2.396$$ 8.0.342102016.5 None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{4}q^{3}+(-\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{4}+\cdots$$
300.2.h.b $$8$$ $$2.396$$ 8.0.342102016.5 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(-\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{4}+\cdots$$
300.2.h.c $$16$$ $$2.396$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{10}q^{3}-\beta _{4}q^{4}-\beta _{12}q^{6}+\cdots$$
300.2.i.a $$4$$ $$2.396$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$-2$$ $$0$$ $$4$$ $$q+(-1+\beta _{3})q^{3}+(1-\beta _{2})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$$
300.2.i.b $$4$$ $$2.396$$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+2\beta _{3}q^{7}+3\beta _{2}q^{9}+4\beta _{1}q^{13}+\cdots$$
300.2.i.c $$4$$ $$2.396$$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-3\beta _{3}q^{7}+3\beta _{2}q^{9}-\beta _{1}q^{13}+\cdots$$
300.2.j.a $$8$$ $$2.396$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}-\zeta_{24}^{4}+\zeta_{24}^{5})q^{2}+\zeta_{24}q^{3}+\cdots$$
300.2.j.b $$8$$ $$2.396$$ 8.0.157351936.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{2}+\beta _{4})q^{2}+\beta _{6}q^{3}+(\beta _{3}+\beta _{5})q^{4}+\cdots$$
300.2.j.c $$8$$ $$2.396$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}-\zeta_{24}^{7})q^{2}-\zeta_{24}^{5}q^{3}+(\zeta_{24}^{2}+\cdots)q^{4}+\cdots$$
300.2.j.d $$12$$ $$2.396$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{9}q^{3}+(\beta _{2}+\beta _{8}+\beta _{9})q^{4}+\cdots$$
300.2.m.a $$8$$ $$2.396$$ $$\Q(\zeta_{15})$$ None None $$0$$ $$-2$$ $$5$$ $$-8$$ $$q+\zeta_{15}^{5}q^{3}+(-1-2\zeta_{15}^{2}-\zeta_{15}^{3}+\cdots)q^{5}+\cdots$$
300.2.m.b $$8$$ $$2.396$$ 8.0.26265625.1 None None $$0$$ $$2$$ $$-5$$ $$8$$ $$q+\beta _{3}q^{3}+(-1+\beta _{6}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
300.2.n.a $$224$$ $$2.396$$ None None $$0$$ $$0$$ $$0$$ $$0$$
300.2.o.a $$24$$ $$2.396$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
300.2.r.a $$224$$ $$2.396$$ None None $$0$$ $$0$$ $$0$$ $$0$$
300.2.w.a $$240$$ $$2.396$$ None None $$0$$ $$0$$ $$0$$ $$0$$
300.2.x.a $$80$$ $$2.396$$ None None $$0$$ $$-2$$ $$0$$ $$4$$
300.3.b.a $$2$$ $$8.174$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}+2iq^{7}-9q^{9}+22iq^{13}+\cdots$$
300.3.b.b $$2$$ $$8.174$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}-13iq^{7}-9q^{9}-23iq^{13}+\cdots$$
300.3.b.c $$4$$ $$8.174$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{3})q^{3}+\beta _{1}q^{7}+(1-2\beta _{2}+\cdots)q^{9}+\cdots$$
300.3.b.d $$4$$ $$8.174$$ $$\Q(i, \sqrt{35})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-8\beta _{2}q^{7}+(9+\beta _{3})q^{9}+(-3+\cdots)q^{11}+\cdots$$
300.3.c.a $$2$$ $$8.174$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\zeta_{6})q^{2}+\zeta_{6}q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
300.3.c.b $$2$$ $$8.174$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{2}-\zeta_{6}q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
300.3.c.c $$2$$ $$8.174$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{2}-\zeta_{6}q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
300.3.c.d $$8$$ $$8.174$$ 8.0.85100625.1 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+\beta _{6}q^{3}+(1-\beta _{3})q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.3.c.e $$8$$ $$8.174$$ 8.0.4069419264.1 None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-\beta _{5}q^{3}+(-1+\beta _{7})q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.3.c.f $$8$$ $$8.174$$ 8.0.6080256576.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{2}q^{3}+(1-\beta _{7})q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.3.c.g $$8$$ $$8.174$$ 8.0.4069419264.1 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+\beta _{5}q^{3}+(-1+\beta _{7})q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.3.f.a $$4$$ $$8.174$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{2}+\zeta_{12}^{3}q^{3}+(2+2\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
300.3.f.b $$16$$ $$8.174$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{12}q^{2}-\beta _{9}q^{3}+(-1+\beta _{4})q^{4}+\cdots$$
300.3.f.c $$16$$ $$8.174$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-\beta _{4}q^{3}+(1+\beta _{5})q^{4}+(-1+\cdots)q^{6}+\cdots$$
300.3.g.a $$1$$ $$8.174$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$-13$$ $$q-3q^{3}-13q^{7}+9q^{9}+23q^{13}+11q^{19}+\cdots$$
300.3.g.b $$1$$ $$8.174$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$-2$$ $$q+3q^{3}-2q^{7}+9q^{9}+22q^{13}+26q^{19}+\cdots$$
300.3.g.c $$1$$ $$8.174$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$13$$ $$q+3q^{3}+13q^{7}+9q^{9}-23q^{13}+11q^{19}+\cdots$$
300.3.g.d $$2$$ $$8.174$$ $$\Q(\sqrt{-5})$$ None None $$0$$ $$-4$$ $$0$$ $$-4$$ $$q+(-2+\beta )q^{3}-2q^{7}+(-1-4\beta )q^{9}+\cdots$$
300.3.g.e $$2$$ $$8.174$$ $$\Q(\sqrt{-5})$$ None None $$0$$ $$-4$$ $$0$$ $$16$$ $$q+(-2+\beta )q^{3}+8q^{7}+(-1-4\beta )q^{9}+\cdots$$
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