## Results (1-50 of 75 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2624.1.h.a $$1$$ $$1.310$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-41})$$ $$\Q(\sqrt{41})$$ $$0$$ $$0$$ $$2$$ $$0$$ $$q+2q^{5}-q^{9}+3q^{25}+2q^{37}+q^{41}+\cdots$$
2624.1.h.b $$2$$ $$1.310$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-41})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{3}-\beta q^{7}+q^{9}+\beta q^{11}-\beta q^{19}+\cdots$$
2624.1.h.c $$4$$ $$1.310$$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-41})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{3}-\beta _{2}q^{5}-\beta _{1}q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots$$
2624.1.k.a $$2$$ $$1.310$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{5}+iq^{9}+(1+i)q^{13}+(1-i+\cdots)q^{17}+\cdots$$
2624.1.m.a $$2$$ $$1.310$$ $$\Q(\sqrt{-1})$$ None $$\Q(\sqrt{41})$$ $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+i)q^{5}+iq^{9}+iq^{25}+iq^{31}+\cdots$$
2624.1.bh.a $$4$$ $$1.310$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-1+\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{9}+\cdots$$
2624.1.bh.b $$4$$ $$1.310$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-1+\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{9}+\cdots$$
2624.1.bi.a $$4$$ $$1.310$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{9}+(-\zeta_{8}+\zeta_{8}^{2})q^{13}+(1+\zeta_{8}+\cdots)q^{17}+\cdots$$
2624.1.bt.a $$4$$ $$1.310$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\zeta_{10}^{3}-\zeta_{10}^{4})q^{5}+q^{9}+(-\zeta_{10}^{2}+\cdots)q^{13}+\cdots$$
2624.1.bx.a $$4$$ $$1.310$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-\zeta_{10}^{3}+\zeta_{10}^{4})q^{5}-q^{9}+(\zeta_{10}^{2}+\cdots)q^{13}+\cdots$$
2624.1.bz.a $$8$$ $$1.310$$ $$\Q(\zeta_{20})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(\zeta_{20}^{4}-\zeta_{20}^{6})q^{3}+(\zeta_{20}^{3}-\zeta_{20}^{9}+\cdots)q^{5}+\cdots$$
2624.1.bz.b $$8$$ $$1.310$$ $$\Q(\zeta_{20})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(-\zeta_{20}^{4}+\zeta_{20}^{6})q^{3}+(\zeta_{20}^{3}-\zeta_{20}^{9}+\cdots)q^{5}+\cdots$$
2624.1.cj.a $$8$$ $$1.310$$ $$\Q(\zeta_{16})$$ None $$\Q(\sqrt{41})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}+\zeta_{16}^{6}+\cdots)q^{5}+\cdots$$
2624.1.cz.a $$8$$ $$1.310$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{20}-\zeta_{20}^{7})q^{5}+\zeta_{20}^{5}q^{9}+(-\zeta_{20}^{3}+\cdots)q^{13}+\cdots$$
2624.1.dq.a $$16$$ $$1.310$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{40}^{3}+\zeta_{40}^{19})q^{5}-\zeta_{40}^{5}q^{9}+\cdots$$
2624.1.dr.a $$16$$ $$1.310$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{40}+\zeta_{40}^{14})q^{3}+(\zeta_{40}^{2}-\zeta_{40}^{8}+\cdots)q^{9}+\cdots$$
2624.1.dr.b $$16$$ $$1.310$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{40}-\zeta_{40}^{14})q^{3}+(\zeta_{40}^{2}-\zeta_{40}^{8}+\cdots)q^{9}+\cdots$$
2624.2.a.a $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$-2$$ $$-2$$ $$-2$$ $$-$$ $$q-2q^{3}-2q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots$$
2624.2.a.b $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$-$$ $$q-2q^{3}+2q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots$$
2624.2.a.c $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$4$$ $$-$$ $$q-2q^{3}+2q^{5}+4q^{7}+q^{9}-2q^{11}+\cdots$$
2624.2.a.d $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $$+$$ $$q+2q^{5}-2q^{7}-3q^{9}+4q^{13}-2q^{17}+\cdots$$
2624.2.a.e $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $$-$$ $$q+2q^{5}+2q^{7}-3q^{9}+4q^{13}-2q^{17}+\cdots$$
2624.2.a.f $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$2$$ $$-2$$ $$2$$ $$+$$ $$q+2q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{11}+\cdots$$
2624.2.a.g $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$-4$$ $$+$$ $$q+2q^{3}+2q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots$$
2624.2.a.h $$1$$ $$20.953$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+2q^{3}+2q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots$$
2624.2.a.i $$2$$ $$20.953$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$+$$ $$q+(-1+\beta )q^{3}+(1+\beta )q^{7}+(1-2\beta )q^{9}+\cdots$$
2624.2.a.j $$2$$ $$20.953$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q+\beta q^{3}-2\beta q^{5}+(-2+\beta )q^{7}-q^{9}+\cdots$$
2624.2.a.k $$2$$ $$20.953$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{3}+\beta q^{7}-q^{9}-\beta q^{11}+2q^{13}+\cdots$$
2624.2.a.l $$2$$ $$20.953$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+\beta q^{3}+2\beta q^{5}+(2+\beta )q^{7}-q^{9}+3\beta q^{11}+\cdots$$
2624.2.a.m $$2$$ $$20.953$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{3}+(-1+\beta )q^{7}+(1+2\beta )q^{9}+\cdots$$
2624.2.a.n $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$-4$$ $$2$$ $$2$$ $$+$$ $$q+(-1-\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots$$
2624.2.a.o $$3$$ $$20.953$$ 3.3.788.1 None None $$0$$ $$-2$$ $$-2$$ $$-4$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots$$
2624.2.a.p $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$-2$$ $$-2$$ $$2$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots$$
2624.2.a.q $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$0$$ $$2$$ $$-6$$ $$+$$ $$q+\beta _{2}q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+(-2+\beta _{2})q^{7}+\cdots$$
2624.2.a.r $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$0$$ $$2$$ $$6$$ $$-$$ $$q-\beta _{2}q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+(2-\beta _{2})q^{7}+\cdots$$
2624.2.a.s $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$2$$ $$-2$$ $$-2$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots$$
2624.2.a.t $$3$$ $$20.953$$ 3.3.788.1 None None $$0$$ $$2$$ $$-2$$ $$4$$ $$-$$ $$q+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
2624.2.a.u $$3$$ $$20.953$$ 3.3.148.1 None None $$0$$ $$4$$ $$2$$ $$-2$$ $$-$$ $$q+(1+\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots$$
2624.2.a.v $$4$$ $$20.953$$ 4.4.25808.1 None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$+$$ $$q+(\beta _{1}-\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots$$
2624.2.a.w $$4$$ $$20.953$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots$$
2624.2.a.x $$4$$ $$20.953$$ 4.4.25088.1 None None $$0$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+(2\beta _{1}-\beta _{3})q^{7}+\cdots$$
2624.2.a.y $$4$$ $$20.953$$ 4.4.25808.1 None None $$0$$ $$2$$ $$-4$$ $$0$$ $$-$$ $$q+(-\beta _{1}+\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots$$
2624.2.a.z $$7$$ $$20.953$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$-4$$ $$2$$ $$6$$ $$-$$ $$q+(-1-\beta _{2})q^{3}-\beta _{5}q^{5}+(1-\beta _{3}+\beta _{5}+\cdots)q^{7}+\cdots$$
2624.2.a.ba $$7$$ $$20.953$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$4$$ $$2$$ $$-6$$ $$-$$ $$q+(1+\beta _{2})q^{3}-\beta _{5}q^{5}+(-1+\beta _{3}-\beta _{5}+\cdots)q^{7}+\cdots$$
2624.2.a.bb $$8$$ $$20.953$$ 8.8.$$\cdots$$.1 None None $$0$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q-\beta _{3}q^{3}-\beta _{5}q^{5}+\beta _{2}q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$$
2624.2.b.a $$2$$ $$20.953$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}+iq^{11}-2iq^{13}+2q^{17}+\cdots$$
2624.2.b.b $$2$$ $$20.953$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}+iq^{11}+2iq^{13}+2q^{17}+\cdots$$
2624.2.b.c $$4$$ $$20.953$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $$q-\zeta_{12}^{3}q^{3}+(\zeta_{12}^{2}+2\zeta_{12}^{3})q^{5}+(-3+\cdots)q^{7}+\cdots$$
2624.2.b.d $$4$$ $$20.953$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $$q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}^{2}-2\zeta_{12}^{3})q^{5}+\cdots$$
2624.2.b.e $$12$$ $$20.953$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{3}+\beta _{5}q^{5}+(-\beta _{1}+\beta _{6})q^{7}+\cdots$$