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## Results (1-50 of 206 matches)

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Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
105.2.a.a $1$ $0.838$ $$\Q$$ None $$1$$ $$1$$ $$1$$ $$1$$ $-$ $$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
105.2.a.b $2$ $0.838$ $$\Q(\sqrt{5})$$ None $$0$$ $$-2$$ $$-2$$ $$2$$ $-$ $$q-\beta q^{2}-q^{3}+3q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots$$
105.2.b.a $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$-2$$ $$4$$ $$q-\zeta_{6}q^{2}-\zeta_{6}q^{3}-q^{4}-q^{5}-3q^{6}+\cdots$$
105.2.b.b $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$2$$ $$4$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}-q^{4}+q^{5}+3q^{6}+\cdots$$
105.2.b.c $4$ $0.838$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$0$$ $$-1$$ $$-4$$ $$-8$$ $$q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}+\beta _{1}q^{3}+(-1+\cdots)q^{4}+\cdots$$
105.2.b.d $4$ $0.838$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$0$$ $$1$$ $$4$$ $$-8$$ $$q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}-\beta _{1}q^{3}+(-1+\cdots)q^{4}+\cdots$$
105.2.d.a $2$ $0.838$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}+(1-2i)q^{5}-q^{6}+\cdots$$
105.2.d.b $6$ $0.838$ 6.0.350464.1 None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(-1+\beta _{3}+\beta _{5})q^{4}+\cdots$$
105.2.g.a $4$ $0.838$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None $$0$$ $$-4$$ $$0$$ $$4$$ $$q-\beta _{2}q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
105.2.g.b $4$ $0.838$ $$\Q(\sqrt{-5}, \sqrt{7})$$ $$\Q(\sqrt{-35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}-2q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
105.2.g.c $4$ $0.838$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None $$0$$ $$4$$ $$0$$ $$-4$$ $$q-\beta _{2}q^{2}+(1-\beta _{1})q^{3}+q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
105.2.i.a $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$1$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+\zeta_{6}q^{5}+\cdots$$
105.2.i.b $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-1$$ $$-1$$ $$-1$$ $$q+2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
105.2.i.c $4$ $0.838$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$2$$ $$2$$ $$-2$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(1+\beta _{2})q^{5}-\beta _{3}q^{6}+\cdots$$
105.2.i.d $4$ $0.838$ $$\Q(\zeta_{12})$$ None $$2$$ $$2$$ $$-2$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(1-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
105.2.j.a $24$ $0.838$ None $$0$$ $$-4$$ $$0$$ $$0$$
105.2.m.a $16$ $0.838$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{6}q^{2}+\beta _{10}q^{3}+(-\beta _{2}+\beta _{9}-\beta _{11}+\cdots)q^{4}+\cdots$$
105.2.p.a $24$ $0.838$ None $$0$$ $$0$$ $$0$$ $$0$$
105.2.q.a $16$ $0.838$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\beta _{5}+\beta _{6}-\beta _{15})q^{2}+\beta _{3}q^{3}+(1+\cdots)q^{4}+\cdots$$
105.2.s.a $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-3$$ $$-1$$ $$-5$$ $$q+(-2+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+(1+\cdots)q^{4}+\cdots$$
105.2.s.b $2$ $0.838$ $$\Q(\sqrt{-3})$$ None $$3$$ $$0$$ $$1$$ $$-5$$ $$q+(2-\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
105.2.s.c $8$ $0.838$ 8.0.856615824.2 None $$-3$$ $$1$$ $$4$$ $$2$$ $$q+(\beta _{1}+\beta _{3})q^{2}+(1-\beta _{1}+\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots$$
105.2.s.d $8$ $0.838$ 8.0.856615824.2 None $$3$$ $$2$$ $$-4$$ $$2$$ $$q-\beta _{3}q^{2}+(1+\beta _{3}+\beta _{6})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
105.2.u.a $32$ $0.838$ None $$0$$ $$0$$ $$-12$$ $$8$$
105.2.x.a $48$ $0.838$ None $$0$$ $$-2$$ $$0$$ $$-12$$
105.3.c.a $16$ $2.861$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$8$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}+(-2+\beta _{7}-\beta _{8}+\cdots)q^{4}+\cdots$$
105.3.e.a $16$ $2.861$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{2}q^{3}+(-2+\beta _{4})q^{4}+(-\beta _{8}+\cdots)q^{5}+\cdots$$
105.3.f.a $24$ $2.861$ None $$0$$ $$0$$ $$0$$ $$0$$
105.3.h.a $12$ $2.861$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-4$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{4}q^{2}-\beta _{3}q^{3}+(4-\beta _{1})q^{4}+\beta _{8}q^{5}+\cdots$$
105.3.k.a $4$ $2.861$ $$\Q(\zeta_{8})$$ None $$0$$ $$-8$$ $$0$$ $$-28$$ $$q+\zeta_{8}q^{2}+(-2-\zeta_{8}+2\zeta_{8}^{2})q^{3}-3\zeta_{8}^{2}q^{4}+\cdots$$
105.3.k.b $4$ $2.861$ $$\Q(\zeta_{8})$$ None $$0$$ $$8$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+(2+\zeta_{8}-2\zeta_{8}^{2})q^{3}-3\zeta_{8}^{2}q^{4}+\cdots$$
105.3.k.c $16$ $2.861$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$32$$ $$q-\beta _{1}q^{2}+(\beta _{7}+\beta _{10}-\beta _{13}+\beta _{15})q^{3}+\cdots$$
105.3.k.d $32$ $2.861$ None $$0$$ $$0$$ $$0$$ $$0$$
105.3.l.a $24$ $2.861$ None $$8$$ $$0$$ $$16$$ $$0$$
105.3.n.a $8$ $2.861$ 8.0.$$\cdots$$.16 None $$2$$ $$-12$$ $$0$$ $$-16$$ $$q+\beta _{1}q^{2}+(-1+\beta _{4})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$
105.3.n.b $12$ $2.861$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$2$$ $$18$$ $$0$$ $$22$$ $$q+(-\beta _{2}-\beta _{10})q^{2}+(2+\beta _{3})q^{3}+(4\beta _{3}+\cdots)q^{4}+\cdots$$
105.3.o.a $16$ $2.861$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(-\beta _{3}-\beta _{9}+\beta _{13})q^{3}+(-1+\cdots)q^{4}+\cdots$$
105.3.o.b $40$ $2.861$ None $$0$$ $$0$$ $$0$$ $$0$$
105.3.r.a $32$ $2.861$ None $$0$$ $$0$$ $$-6$$ $$0$$
105.3.t.a $8$ $2.861$ 8.0.3317760000.8 None $$0$$ $$-4$$ $$0$$ $$56$$ $$q+(\beta _{2}-\beta _{4}-\beta _{5})q^{2}+(-1+\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots$$
105.3.t.b $36$ $2.861$ None $$0$$ $$4$$ $$0$$ $$-58$$
105.3.v.a $64$ $2.861$ None $$0$$ $$0$$ $$4$$ $$-4$$
105.3.w.a $112$ $2.861$ None $$0$$ $$-6$$ $$0$$ $$-16$$
105.4.a.a $1$ $6.195$ $$\Q$$ None $$0$$ $$-3$$ $$5$$ $$7$$ $+$ $$q-3q^{3}-8q^{4}+5q^{5}+7q^{7}+9q^{9}+\cdots$$
105.4.a.b $1$ $6.195$ $$\Q$$ None $$5$$ $$-3$$ $$5$$ $$7$$ $+$ $$q+5q^{2}-3q^{3}+17q^{4}+5q^{5}-15q^{6}+\cdots$$
105.4.a.c $2$ $6.195$ $$\Q(\sqrt{17})$$ None $$-7$$ $$-6$$ $$-10$$ $$-14$$ $+$ $$q+(-3-\beta )q^{2}-3q^{3}+(5+7\beta )q^{4}+\cdots$$
105.4.a.d $2$ $6.195$ $$\Q(\sqrt{5})$$ None $$-4$$ $$6$$ $$-10$$ $$-14$$ $-$ $$q+(-2-\beta )q^{2}+3q^{3}+(1+4\beta )q^{4}+\cdots$$
105.4.a.e $2$ $6.195$ $$\Q(\sqrt{2})$$ None $$-2$$ $$-6$$ $$10$$ $$-14$$ $-$ $$q+(-1+\beta )q^{2}-3q^{3}+(1-2\beta )q^{4}+\cdots$$
105.4.a.f $2$ $6.195$ $$\Q(\sqrt{65})$$ None $$1$$ $$6$$ $$10$$ $$-14$$ $+$ $$q+\beta q^{2}+3q^{3}+(8+\beta )q^{4}+5q^{5}+3\beta q^{6}+\cdots$$
105.4.a.g $2$ $6.195$ $$\Q(\sqrt{41})$$ None $$3$$ $$6$$ $$-10$$ $$14$$ $+$ $$q+(1+\beta )q^{2}+3q^{3}+(3+3\beta )q^{4}-5q^{5}+\cdots$$
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