## Results (1-50 of 54 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3864.1.v.a $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$-1$$ $$-1$$ $$-1$$ $$-1$$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
3864.1.v.b $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
3864.1.v.c $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$$
3864.1.v.d $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$-1$$ $$1$$ $$1$$ $$1$$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
3864.1.v.e $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$1$$ $$-1$$ $$-1$$ $$1$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$$
3864.1.v.f $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$1$$ $$-1$$ $$1$$ $$-1$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$$
3864.1.v.g $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$$
3864.1.v.h $$1$$ $$1.928$$ $$\Q$$ $$\Q(\sqrt{-966})$$ None $$1$$ $$1$$ $$1$$ $$-1$$ $$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$$
3864.1.v.i $$4$$ $$1.928$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots$$
3864.1.v.j $$4$$ $$1.928$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots$$
3864.1.bx.a $$2$$ $$1.928$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-138})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots$$
3864.1.bx.b $$2$$ $$1.928$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-138})$$ None $$-1$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots$$
3864.1.bx.c $$2$$ $$1.928$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-138})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots$$
3864.1.bx.d $$2$$ $$1.928$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-138})$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots$$
3864.1.bx.e $$4$$ $$1.928$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-138})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
3864.1.bx.f $$4$$ $$1.928$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-138})$$ None $$2$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
3864.1.cx.a $$40$$ $$1.928$$ $$\Q(\zeta_{88})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{88}^{42}q^{2}-\zeta_{88}^{23}q^{3}-\zeta_{88}^{40}q^{4}+\cdots$$
3864.1.cx.b $$40$$ $$1.928$$ $$\Q(\zeta_{88})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{88}^{6}q^{2}-\zeta_{88}^{11}q^{3}+\zeta_{88}^{12}q^{4}+\cdots$$
3864.1.dl.a $$10$$ $$1.928$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-42})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{22}^{5}q^{2}-\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
3864.1.dl.b $$10$$ $$1.928$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-42})$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $$q-\zeta_{22}^{5}q^{2}+\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
3864.1.dl.c $$10$$ $$1.928$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-42})$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$q+\zeta_{22}^{5}q^{2}-\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
3864.1.dl.d $$10$$ $$1.928$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-42})$$ None $$1$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
3864.2.a.a $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$-1$$ $$-$$ $$q-q^{3}-3q^{5}-q^{7}+q^{9}-q^{13}+3q^{15}+\cdots$$
3864.2.a.b $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{3}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots$$
3864.2.a.c $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q+q^{3}-q^{7}+q^{9}+q^{11}-6q^{13}+7q^{19}+\cdots$$
3864.2.a.d $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $$-$$ $$q+q^{3}+2q^{5}+q^{7}+q^{9}+6q^{13}+2q^{15}+\cdots$$
3864.2.a.e $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $$-$$ $$q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots$$
3864.2.a.f $$1$$ $$30.854$$ $$\Q$$ None None $$0$$ $$1$$ $$4$$ $$1$$ $$-$$ $$q+q^{3}+4q^{5}+q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots$$
3864.2.a.g $$2$$ $$30.854$$ $$\Q(\sqrt{41})$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$+$$ $$q-q^{3}+q^{7}+q^{9}-\beta q^{11}+2q^{13}+\cdots$$
3864.2.a.h $$2$$ $$30.854$$ $$\Q(\sqrt{29})$$ None None $$0$$ $$-2$$ $$1$$ $$-2$$ $$-$$ $$q-q^{3}+\beta q^{5}-q^{7}+q^{9}+5q^{11}+(1+\cdots)q^{13}+\cdots$$
3864.2.a.i $$2$$ $$30.854$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-2$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
3864.2.a.j $$2$$ $$30.854$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-1$$ $$2$$ $$+$$ $$q+q^{3}-\beta q^{5}+q^{7}+q^{9}+(-3+2\beta )q^{11}+\cdots$$
3864.2.a.k $$3$$ $$30.854$$ 3.3.621.1 None None $$0$$ $$-3$$ $$-3$$ $$3$$ $$+$$ $$q-q^{3}+(-1-\beta _{1}+\beta _{2})q^{5}+q^{7}+q^{9}+\cdots$$
3864.2.a.l $$3$$ $$30.854$$ 3.3.229.1 None None $$0$$ $$-3$$ $$-1$$ $$-3$$ $$+$$ $$q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.m $$3$$ $$30.854$$ 3.3.837.1 None None $$0$$ $$-3$$ $$0$$ $$3$$ $$-$$ $$q-q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(2-\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.n $$3$$ $$30.854$$ 3.3.1229.1 None None $$0$$ $$-3$$ $$1$$ $$3$$ $$-$$ $$q-q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.o $$3$$ $$30.854$$ 3.3.733.1 None None $$0$$ $$3$$ $$-3$$ $$-3$$ $$+$$ $$q+q^{3}+(-1-\beta _{2})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
3864.2.a.p $$3$$ $$30.854$$ 3.3.229.1 None None $$0$$ $$3$$ $$-3$$ $$3$$ $$+$$ $$q+q^{3}+(-1+\beta _{1})q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
3864.2.a.q $$3$$ $$30.854$$ 3.3.229.1 None None $$0$$ $$3$$ $$1$$ $$-3$$ $$+$$ $$q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.r $$4$$ $$30.854$$ 4.4.2225.1 None None $$0$$ $$-4$$ $$-3$$ $$4$$ $$+$$ $$q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
3864.2.a.s $$4$$ $$30.854$$ 4.4.75645.1 None None $$0$$ $$-4$$ $$1$$ $$-4$$ $$+$$ $$q-q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.t $$4$$ $$30.854$$ 4.4.39605.1 None None $$0$$ $$4$$ $$-2$$ $$-4$$ $$-$$ $$q+q^{3}+(-1+\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
3864.2.a.u $$4$$ $$30.854$$ 4.4.256549.1 None None $$0$$ $$4$$ $$2$$ $$4$$ $$-$$ $$q+q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(-1-\beta _{2}+\cdots)q^{11}+\cdots$$
3864.2.a.v $$5$$ $$30.854$$ 5.5.17679757.1 None None $$0$$ $$5$$ $$-6$$ $$5$$ $$-$$ $$q+q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
3864.2.a.w $$6$$ $$30.854$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$-6$$ $$2$$ $$-6$$ $$-$$ $$q-q^{3}-\beta _{3}q^{5}-q^{7}+q^{9}+\beta _{4}q^{11}+\cdots$$
3864.2.a.x $$6$$ $$30.854$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$6$$ $$0$$ $$-6$$ $$-$$ $$q+q^{3}+\beta _{5}q^{5}-q^{7}+q^{9}+(1+\beta _{4}+\cdots)q^{11}+\cdots$$
3864.2.u.a $$4$$ $$30.854$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$-6$$ $$6$$ $$q-\beta _{3}q^{3}+(-2-\beta _{2})q^{5}+(1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
3864.2.u.b $$4$$ $$30.854$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$6$$ $$-6$$ $$q-\beta _{3}q^{3}+(2+\beta _{2})q^{5}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
3864.2.u.c $$8$$ $$30.854$$ 8.0.2992527616.3 None None $$0$$ $$0$$ $$-2$$ $$2$$ $$q+\beta _{5}q^{3}+\beta _{3}q^{5}+(\beta _{1}+\beta _{4})q^{7}-q^{9}+\cdots$$
3864.2.u.d $$8$$ $$30.854$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}-\beta _{2}q^{5}+(-\beta _{4}+\beta _{6})q^{7}+\cdots$$