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## Results (1-50 of 198 matches)

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Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
304.1.e.a $1$ $0.152$ $$\Q$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-q^{5}+q^{7}+q^{9}+q^{11}-q^{17}-q^{19}+\cdots$$
304.2.a.a $1$ $2.427$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$3$$ $+$ $$q-2q^{3}-q^{5}+3q^{7}+q^{9}-5q^{11}+\cdots$$
304.2.a.b $1$ $2.427$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-3$$ $+$ $$q-q^{3}-3q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots$$
304.2.a.c $1$ $2.427$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $-$ $$q-q^{3}+q^{7}-2q^{9}+6q^{11}+5q^{13}+\cdots$$
304.2.a.d $1$ $2.427$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$-3$$ $+$ $$q+q^{3}-4q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots$$
304.2.a.e $1$ $2.427$ $$\Q$$ None None $$0$$ $$2$$ $$-1$$ $$3$$ $-$ $$q+2q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots$$
304.2.a.f $1$ $2.427$ $$\Q$$ None None $$0$$ $$2$$ $$3$$ $$1$$ $-$ $$q+2q^{3}+3q^{5}+q^{7}+q^{9}-3q^{11}+\cdots$$
304.2.a.g $3$ $2.427$ 3.3.961.1 None None $$0$$ $$-1$$ $$1$$ $$-4$$ $-$ $$q-\beta _{1}q^{3}-\beta _{2}q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots$$
304.2.h.a $2$ $2.427$ $$\Q(\sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-q^{5}-\beta q^{7}-3q^{9}-\beta q^{11}+7q^{17}+\cdots$$
304.2.h.b $4$ $2.427$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{2}q^{7}+4q^{9}+2\beta _{2}q^{11}+\cdots$$
304.2.h.c $4$ $2.427$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1-\beta _{2})q^{5}+(2\beta _{1}+\beta _{3})q^{7}-3q^{9}+\cdots$$
304.2.i.a $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots$$
304.2.i.b $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-3$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots$$
304.2.i.c $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$8$$ $$q+(1-\zeta_{6})q^{3}+4q^{7}+2\zeta_{6}q^{9}-3q^{11}+\cdots$$
304.2.i.d $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$4$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+(4-4\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots$$
304.2.i.e $4$ $2.427$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $$q+\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots$$
304.2.i.f $6$ $2.427$ 6.0.2696112.1 None None $$0$$ $$1$$ $$-1$$ $$4$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
304.2.k.a $4$ $2.427$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$-8$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{2}+(-1+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\cdots$$
304.2.k.b $68$ $2.427$ None None $$0$$ $$4$$ $$8$$ $$0$$
304.2.m.a $76$ $2.427$ None None $$0$$ $$0$$ $$-4$$ $$-8$$
304.2.n.a $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-3$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(2+\cdots)q^{7}+\cdots$$
304.2.n.b $2$ $2.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-3$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots$$
304.2.n.c $4$ $2.427$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{5}-2\zeta_{12}^{3}q^{7}+\cdots$$
304.2.n.d $6$ $2.427$ 6.0.31726512.1 None None $$0$$ $$-1$$ $$2$$ $$0$$ $$q-\beta _{1}q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots$$
304.2.n.e $6$ $2.427$ 6.0.31726512.1 None None $$0$$ $$1$$ $$2$$ $$0$$ $$q+\beta _{1}q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+(\beta _{4}-\beta _{5})q^{7}+\cdots$$
304.2.u.a $6$ $2.427$ $$\Q(\zeta_{18})$$ None None $$0$$ $$-9$$ $$-6$$ $$-6$$ $$q+(-1+\zeta_{18}-2\zeta_{18}^{2}-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+\cdots$$
304.2.u.b $6$ $2.427$ $$\Q(\zeta_{18})$$ None None $$0$$ $$3$$ $$-6$$ $$0$$ $$q+(1-\zeta_{18}-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+(-1+\cdots)q^{5}+\cdots$$
304.2.u.c $6$ $2.427$ $$\Q(\zeta_{18})$$ None None $$0$$ $$3$$ $$0$$ $$6$$ $$q+(\zeta_{18}^{2}+\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+2\zeta_{18}^{4}q^{5}+\cdots$$
304.2.u.d $6$ $2.427$ $$\Q(\zeta_{18})$$ None None $$0$$ $$6$$ $$6$$ $$-3$$ $$q+(1+\zeta_{18}^{2})q^{3}+(1-\zeta_{18}^{2}+\zeta_{18}^{5})q^{5}+\cdots$$
304.2.u.e $12$ $2.427$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$3$$ $$0$$ $$-3$$ $$q+(1+\beta _{5}-\beta _{7}-\beta _{9}-\beta _{11})q^{3}+(\beta _{1}+\cdots)q^{5}+\cdots$$
304.2.u.f $18$ $2.427$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$9$$ $$q+(-\beta _{2}+\beta _{4})q^{3}+(-\beta _{6}+\beta _{7}-\beta _{10}+\cdots)q^{5}+\cdots$$
304.2.v.a $152$ $2.427$ None None $$-2$$ $$-2$$ $$-2$$ $$0$$
304.2.x.a $4$ $2.427$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$2$$ $$-2$$ $$-4$$ $$q+(-1+\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
304.2.x.b $4$ $2.427$ $$\Q(\zeta_{12})$$ None None $$2$$ $$4$$ $$-2$$ $$-4$$ $$q+(1-\zeta_{12}-\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots$$
304.2.x.c $144$ $2.427$ None None $$-6$$ $$-12$$ $$2$$ $$-8$$
304.2.be.a $12$ $2.427$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{7})q^{3}+(1+2\beta _{4}-\beta _{6}-\beta _{9}+\cdots)q^{5}+\cdots$$
304.2.be.b $12$ $2.427$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{5}-\beta _{8})q^{3}+(1+\beta _{2}-2\beta _{4}+\cdots)q^{5}+\cdots$$
304.2.be.c $18$ $2.427$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-9$$ $$q-\beta _{7}q^{3}+(\beta _{1}+\beta _{2}+\beta _{5}+\beta _{8}-\beta _{9}+\cdots)q^{5}+\cdots$$
304.2.be.d $18$ $2.427$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$9$$ $$q+\beta _{7}q^{3}+(\beta _{1}+\beta _{2}+\beta _{5}+\beta _{8}-\beta _{9}+\cdots)q^{5}+\cdots$$
304.2.bg.a $456$ $2.427$ None None $$-12$$ $$-12$$ $$-12$$ $$-12$$
304.2.bi.a $456$ $2.427$ None None $$-12$$ $$-12$$ $$-12$$ $$0$$
304.3.d.a $6$ $8.283$ 6.0.210056875.1 None None $$0$$ $$0$$ $$14$$ $$0$$ $$q+\beta _{1}q^{3}+(2-\beta _{2})q^{5}+(-\beta _{1}-2\beta _{4}+\cdots)q^{7}+\cdots$$
304.3.d.b $12$ $8.283$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{5}q^{5}+(\beta _{8}-\beta _{9})q^{7}+(-1+\cdots)q^{9}+\cdots$$
304.3.e.a $1$ $8.283$ $$\Q$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-9$$ $$5$$ $$q-9q^{5}+5q^{7}+9q^{9}-3q^{11}+15q^{17}+\cdots$$
304.3.e.b $2$ $8.283$ $$\Q(\sqrt{-29})$$ None None $$0$$ $$0$$ $$-8$$ $$2$$ $$q+\beta q^{3}-4q^{5}+q^{7}-20q^{9}-14q^{11}+\cdots$$
304.3.e.c $2$ $8.283$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$-2$$ $$-10$$ $$q+\beta q^{3}-q^{5}-5q^{7}+q^{9}-5q^{11}+\cdots$$
304.3.e.d $2$ $8.283$ $$\Q(\sqrt{-13})$$ None None $$0$$ $$0$$ $$8$$ $$10$$ $$q+\beta q^{3}+4q^{5}+5q^{7}-4q^{9}+10q^{11}+\cdots$$
304.3.e.e $2$ $8.283$ $$\Q(\sqrt{57})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$9$$ $$-5$$ $$q+(5-\beta )q^{5}+(-1-3\beta )q^{7}+9q^{9}+\cdots$$
304.3.e.f $2$ $8.283$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$14$$ $$-22$$ $$q+\beta q^{3}+7q^{5}-11q^{7}-23q^{9}-3q^{11}+\cdots$$
304.3.e.g $8$ $8.283$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$-14$$ $$6$$ $$q+\beta _{1}q^{3}+(-2-\beta _{4})q^{5}+(1-\beta _{3})q^{7}+\cdots$$
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