## Results (1-50 of 74 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
125.2.a.a $2$ $0.998$ $$\Q(\sqrt{5})$$ None $$-1$$ $$-3$$ $$0$$ $$-6$$ $+$ $$q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
125.2.a.b $2$ $0.998$ $$\Q(\sqrt{5})$$ None $$1$$ $$3$$ $$0$$ $$6$$ $-$ $$q+\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$$
125.2.a.c $4$ $0.998$ 4.4.4400.1 None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta _{3}q^{2}-\beta _{1}q^{3}+(1-2\beta _{2})q^{4}+(1+\cdots)q^{6}+\cdots$$
125.2.b.a $4$ $0.998$ 4.0.4400.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-\beta _{1}q^{3}+(-1-2\beta _{2})q^{4}+\cdots$$
125.2.b.b $4$ $0.998$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+2\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
125.2.d.a $4$ $0.998$ $$\Q(\zeta_{10})$$ None $$2$$ $$1$$ $$0$$ $$2$$ $$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$$
125.2.d.b $16$ $0.998$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(\beta _{6}+\beta _{12}+\beta _{13}-\beta _{14}+\cdots)q^{3}+\cdots$$
125.2.e.a $8$ $0.998$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{20}+\zeta_{20}^{3}-\zeta_{20}^{5})q^{2}-\zeta_{20}q^{3}+\cdots$$
125.2.e.b $8$ $0.998$ 8.0.58140625.2 None $$5$$ $$5$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{2}+(1-\beta _{2}+\beta _{3}-\beta _{7})q^{3}+\cdots$$
125.2.g.a $220$ $0.998$ None $$-20$$ $$-20$$ $$-15$$ $$-15$$
125.2.h.a $240$ $0.998$ None $$-20$$ $$-20$$ $$-25$$ $$-25$$
125.3.c.a $16$ $3.406$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{11}+\beta _{12})q^{3}+(-\beta _{7}-\beta _{10}+\cdots)q^{4}+\cdots$$
125.3.c.b $16$ $3.406$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+\beta _{13}q^{3}+(3\beta _{7}+\beta _{12})q^{4}+\cdots$$
125.3.f.a $32$ $3.406$ None $$0$$ $$0$$ $$0$$ $$-10$$
125.3.f.b $32$ $3.406$ None $$0$$ $$0$$ $$0$$ $$10$$
125.3.f.c $32$ $3.406$ None $$10$$ $$10$$ $$0$$ $$10$$
125.3.i.a $960$ $3.406$ None $$-40$$ $$-40$$ $$-40$$ $$-40$$
125.4.a.a $4$ $7.375$ 4.4.12400.1 None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(-1+2\beta _{2}+\cdots)q^{4}+\cdots$$
125.4.a.b $6$ $7.375$ 6.6.497918125.1 None $$-7$$ $$-14$$ $$0$$ $$-67$$ $-$ $$q+(-1+\beta _{2})q^{2}+(-2-\beta _{1})q^{3}+(5+\cdots)q^{4}+\cdots$$
125.4.a.c $6$ $7.375$ 6.6.497918125.1 None $$7$$ $$14$$ $$0$$ $$67$$ $+$ $$q+(1-\beta _{2})q^{2}+(2+\beta _{1})q^{3}+(5-\beta _{2}+\cdots)q^{4}+\cdots$$
125.4.a.d $8$ $7.375$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-\beta _{5}q^{2}+\beta _{4}q^{3}+(5-\beta _{3})q^{4}+(5-\beta _{1}+\cdots)q^{6}+\cdots$$
125.4.b.a $4$ $7.375$ 4.0.12400.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3})q^{3}+(1+2\beta _{2})q^{4}+\cdots$$
125.4.b.b $8$ $7.375$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+\beta _{4}q^{3}+(-5-\beta _{3})q^{4}+(5+\cdots)q^{6}+\cdots$$
125.4.b.c $12$ $7.375$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}+\beta _{5}q^{3}+(-6-\beta _{2})q^{4}+(-3+\cdots)q^{6}+\cdots$$
125.4.d.a $28$ $7.375$ None $$1$$ $$7$$ $$0$$ $$16$$
125.4.d.b $48$ $7.375$ None $$0$$ $$0$$ $$0$$ $$0$$
125.4.e.a $24$ $7.375$ None $$5$$ $$5$$ $$0$$ $$0$$
125.4.e.b $56$ $7.375$ None $$0$$ $$0$$ $$0$$ $$0$$
125.4.g.a $740$ $7.375$ None $$-20$$ $$-20$$ $$0$$ $$-15$$
125.4.h.a $720$ $7.375$ None $$-20$$ $$-20$$ $$-40$$ $$-25$$
125.5.c.a $32$ $12.921$ None $$0$$ $$0$$ $$0$$ $$0$$
125.5.c.b $32$ $12.921$ None $$0$$ $$0$$ $$0$$ $$0$$
125.5.f.a $72$ $12.921$ None $$-2$$ $$-12$$ $$0$$ $$-42$$
125.5.f.b $72$ $12.921$ None $$2$$ $$12$$ $$0$$ $$42$$
125.5.f.c $72$ $12.921$ None $$8$$ $$-2$$ $$0$$ $$-42$$
125.5.i.a $1960$ $12.921$ None $$-40$$ $$-40$$ $$-40$$ $$-40$$
125.6.a.a $8$ $20.048$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{6}q^{2}+(-\beta _{1}-\beta _{6})q^{3}+(4-2\beta _{2}+\cdots)q^{4}+\cdots$$
125.6.a.b $10$ $20.048$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-9$$ $$-47$$ $$0$$ $$-394$$ $+$ $$q+(-1+\beta _{1})q^{2}+(-5-\beta _{7})q^{3}+(15+\cdots)q^{4}+\cdots$$
125.6.a.c $10$ $20.048$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$9$$ $$47$$ $$0$$ $$394$$ $-$ $$q+(1-\beta _{1})q^{2}+(5+\beta _{7})q^{3}+(15-2\beta _{1}+\cdots)q^{4}+\cdots$$
125.6.a.d $12$ $20.048$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta _{7}q^{2}-\beta _{6}q^{3}+(26+\beta _{1}-\beta _{2})q^{4}+\cdots$$
125.6.b.a $8$ $20.048$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{7})q^{3}+(-4-2\beta _{2}+\cdots)q^{4}+\cdots$$
125.6.b.b $12$ $20.048$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}-\beta _{6}q^{3}+(-26+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
125.6.b.c $20$ $20.048$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{13}q^{3}+(-14-\beta _{1})q^{4}+\cdots$$
125.7.c.a $48$ $28.757$ None $$0$$ $$0$$ $$0$$ $$0$$
125.7.c.b $48$ $28.757$ None $$0$$ $$0$$ $$0$$ $$0$$
125.8.a.a $12$ $39.048$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{8})q^{3}+(6^{2}+4\beta _{2}+\cdots)q^{4}+\cdots$$
125.8.a.b $14$ $39.048$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-3$$ $$-101$$ $$0$$ $$-2658$$ $-$ $$q-\beta _{1}q^{2}+(-7+\beta _{6})q^{3}+(60+2\beta _{1}+\cdots)q^{4}+\cdots$$
125.8.a.c $14$ $39.048$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$3$$ $$101$$ $$0$$ $$2658$$ $+$ $$q+\beta _{1}q^{2}+(7-\beta _{6})q^{3}+(60+2\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots$$
125.8.a.d $16$ $39.048$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{2}+\beta _{10}q^{3}+(87+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
125.8.b.a $12$ $39.048$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{8})q^{3}+(-6^{2}-4\beta _{2}+\cdots)q^{4}+\cdots$$