Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

## Results (18 matches)

Label Dim $A$ Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5
5625.2.a.a $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $-$ $+$ $$q-q^{2}-q^{4}+(-2+4\beta )q^{7}+3q^{8}+\cdots$$
5625.2.a.d $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $-$ $+$ $$q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{7}+(-1+\cdots)q^{8}+\cdots$$
5625.2.a.e $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $-$ $+$ $$q+\beta q^{2}+(-1+\beta )q^{4}+(1-3\beta )q^{7}+\cdots$$
5625.2.a.f $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $-$ $+$ $$q+\beta q^{2}+(-1+\beta )q^{4}+(-1+\beta )q^{7}+\cdots$$
5625.2.a.g $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$1$$ $$0$$ $$0$$ $$4$$ $-$ $+$ $$q+\beta q^{2}+(-1+\beta )q^{4}+2q^{7}+(1-2\beta )q^{8}+\cdots$$
5625.2.a.h $2$ $44.916$ $$\Q(\sqrt{5})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $-$ $+$ $$q+q^{2}-q^{4}+(2-4\beta )q^{7}-3q^{8}-2\beta q^{11}+\cdots$$
5625.2.a.i $4$ $44.916$ 4.4.5125.1 None $$-2$$ $$0$$ $$0$$ $$2$$ $-$ $+$ $$q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
5625.2.a.j $4$ $44.916$ $$\Q(\zeta_{15})^+$$ None $$-1$$ $$0$$ $$0$$ $$5$$ $-$ $+$ $$q+(\beta _{2}+\beta _{3})q^{2}+\beta _{1}q^{4}+(2+\beta _{2}+2\beta _{3})q^{7}+\cdots$$
5625.2.a.l $4$ $44.916$ $$\Q(\zeta_{15})^+$$ $$\Q(\sqrt{-3})$$ $$0$$ $$0$$ $$0$$ $$5$$ $+$ $-$ $$q-2q^{4}+(\beta _{2}-2\beta _{3})q^{7}+(1+3\beta _{1}+\beta _{3})q^{13}+\cdots$$
5625.2.a.n $4$ $44.916$ 4.4.5125.1 None $$2$$ $$0$$ $$0$$ $$-2$$ $-$ $+$ $$q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{7}+\cdots$$
5625.2.a.p $6$ $44.916$ 6.6.44400625.1 None $$0$$ $$0$$ $$0$$ $$-6$$ $-$ $+$ $$q+\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
5625.2.a.q $6$ $44.916$ 6.6.44400625.1 None $$0$$ $$0$$ $$0$$ $$6$$ $-$ $+$ $$q-\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+(1-\beta _{1}+\cdots)q^{7}+\cdots$$
5625.2.a.r $6$ $44.916$ 6.6.46840000.1 None $$1$$ $$0$$ $$0$$ $$2$$ $-$ $+$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{2}-\beta _{3})q^{7}+\cdots$$
5625.2.a.u $8$ $44.916$ 8.8.$$\cdots$$.1 None $$-1$$ $$0$$ $$0$$ $$12$$ $-$ $+$ $$q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1+\beta _{2}+\cdots)q^{7}+\cdots$$
5625.2.a.ba $8$ $44.916$ 8.8.$$\cdots$$.2 None $$0$$ $$0$$ $$0$$ $$10$$ $+$ $-$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{3}-2\beta _{5})q^{7}+\cdots$$
5625.2.a.bb $8$ $44.916$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$10$$ $+$ $-$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots$$
5625.2.a.be $8$ $44.916$ 8.8.6152203125.1 None $$5$$ $$0$$ $$0$$ $$-10$$ $-$ $+$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots$$
5625.2.a.bf $24$ $44.916$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $-$