## Results (1-50 of 53 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1932.1.g.a $1$ $0.964$ $$\Q$$ $$\Q(\sqrt{-483})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-q^{3}-q^{7}+q^{9}-q^{11}+q^{19}+q^{21}+\cdots$$
1932.1.g.b $1$ $0.964$ $$\Q$$ $$\Q(\sqrt{-483})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-q^{3}+q^{7}+q^{9}+q^{11}-q^{19}-q^{21}+\cdots$$
1932.1.g.c $1$ $0.964$ $$\Q$$ $$\Q(\sqrt{-483})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+q^{3}-q^{7}+q^{9}+q^{11}+q^{19}-q^{21}+\cdots$$
1932.1.g.d $1$ $0.964$ $$\Q$$ $$\Q(\sqrt{-483})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+q^{3}+q^{7}+q^{9}-q^{11}-q^{19}+q^{21}+\cdots$$
1932.1.w.a $2$ $0.964$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-69})$$ None $$-1$$ $$-1$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
1932.1.w.b $2$ $0.964$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-69})$$ None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots$$
1932.1.w.c $2$ $0.964$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-69})$$ None $$1$$ $$1$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
1932.1.w.d $2$ $0.964$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-69})$$ None $$1$$ $$1$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots$$
1932.1.w.e $4$ $0.964$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-69})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
1932.1.w.f $4$ $0.964$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-69})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
1932.1.bi.a $10$ $0.964$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$-1$$ $$-2$$ $$-1$$ $$q-\zeta_{22}^{7}q^{2}-\zeta_{22}q^{3}-\zeta_{22}^{3}q^{4}+(-\zeta_{22}+\cdots)q^{5}+\cdots$$
1932.1.bi.b $10$ $0.964$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$1$$ $$2$$ $$1$$ $$q-\zeta_{22}^{7}q^{2}+\zeta_{22}q^{3}-\zeta_{22}^{3}q^{4}+(\zeta_{22}+\cdots)q^{5}+\cdots$$
1932.1.bi.c $10$ $0.964$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$-1$$ $$2$$ $$-1$$ $$q+\zeta_{22}^{7}q^{2}-\zeta_{22}q^{3}-\zeta_{22}^{3}q^{4}+(\zeta_{22}+\cdots)q^{5}+\cdots$$
1932.1.bi.d $10$ $0.964$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$1$$ $$-2$$ $$1$$ $$q+\zeta_{22}^{7}q^{2}+\zeta_{22}q^{3}-\zeta_{22}^{3}q^{4}+(-\zeta_{22}+\cdots)q^{5}+\cdots$$
1932.2.a.a $1$ $15.427$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $-$ $$q-q^{3}-q^{7}+q^{9}-5q^{11}-6q^{13}+\cdots$$
1932.2.a.b $1$ $15.427$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $-$ $$q+q^{3}+q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots$$
1932.2.a.c $2$ $15.427$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-2$$ $$-5$$ $$-2$$ $-$ $$q-q^{3}+(-2-\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots$$
1932.2.a.d $2$ $15.427$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$1$$ $$-2$$ $+$ $$q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-1-2\beta )q^{11}+\cdots$$
1932.2.a.e $2$ $15.427$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-2$$ $$1$$ $$2$$ $+$ $$q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(1-2\beta )q^{11}+\cdots$$
1932.2.a.f $2$ $15.427$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-5$$ $$2$$ $+$ $$q+q^{3}+(-2-\beta )q^{5}+q^{7}+q^{9}-q^{11}+\cdots$$
1932.2.a.g $2$ $15.427$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-1$$ $$-2$$ $+$ $$q+q^{3}-\beta q^{5}-q^{7}+q^{9}-3q^{11}+(-1+\cdots)q^{13}+\cdots$$
1932.2.a.h $2$ $15.427$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$1$$ $$2$$ $-$ $$q+q^{3}+(-1+3\beta )q^{5}+q^{7}+q^{9}+3q^{11}+\cdots$$
1932.2.a.i $3$ $15.427$ 3.3.1509.1 None None $$0$$ $$-3$$ $$-1$$ $$3$$ $-$ $$q-q^{3}-\beta _{1}q^{5}+q^{7}+q^{9}+(1-2\beta _{1}+\cdots)q^{11}+\cdots$$
1932.2.a.j $3$ $15.427$ 3.3.1101.1 None None $$0$$ $$3$$ $$1$$ $$-3$$ $-$ $$q+q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots$$
1932.2.j.a $4$ $15.427$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
1932.2.j.b $56$ $15.427$ None None $$0$$ $$0$$ $$0$$ $$-4$$
1932.2.k.a $32$ $15.427$ None None $$0$$ $$0$$ $$0$$ $$0$$
1932.2.p.a $48$ $15.427$ None None $$0$$ $$-4$$ $$0$$ $$0$$
1932.2.q.a $2$ $15.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-4$$ $$-1$$ $$q+(1-\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(-2+3\zeta_{6})q^{7}+\cdots$$
1932.2.q.b $2$ $15.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-2$$ $$5$$ $$q+(1-\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1932.2.q.c $2$ $15.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-2+3\zeta_{6})q^{7}+\cdots$$
1932.2.q.d $2$ $15.427$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$5$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1932.2.q.e $4$ $15.427$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$2$$ $$-1$$ $$-10$$ $$q+(1-\beta _{2})q^{3}-\beta _{1}q^{5}+(-2-\beta _{2})q^{7}+\cdots$$
1932.2.q.f $12$ $15.427$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-6$$ $$3$$ $$-2$$ $$q-\beta _{5}q^{3}+\beta _{1}q^{5}+(\beta _{8}+\beta _{11})q^{7}+(-1+\cdots)q^{9}+\cdots$$
1932.2.q.g $16$ $15.427$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$8$$ $$5$$ $$-2$$ $$q-\beta _{7}q^{3}+(1+\beta _{1}-\beta _{2}+\beta _{7})q^{5}+(-\beta _{12}+\cdots)q^{7}+\cdots$$
1932.2.q.h $20$ $15.427$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$-10$$ $$-1$$ $$0$$ $$q+(-1-\beta _{7})q^{3}-\beta _{1}q^{5}+\beta _{16}q^{7}+\cdots$$
1932.2.u.a $64$ $15.427$ None None $$0$$ $$0$$ $$0$$ $$0$$
1932.3.d.a $48$ $52.643$ None None $$0$$ $$0$$ $$0$$ $$0$$
1932.3.e.a $88$ $52.643$ None None $$0$$ $$-8$$ $$0$$ $$0$$
1932.3.f.a $60$ $52.643$ None None $$0$$ $$0$$ $$0$$ $$16$$
1932.4.a.a $1$ $113.992$ $$\Q$$ None None $$0$$ $$-3$$ $$-19$$ $$7$$ $-$ $$q-3q^{3}-19q^{5}+7q^{7}+9q^{9}-8q^{11}+\cdots$$
1932.4.a.b $1$ $113.992$ $$\Q$$ None None $$0$$ $$-3$$ $$6$$ $$7$$ $-$ $$q-3q^{3}+6q^{5}+7q^{7}+9q^{9}+72q^{11}+\cdots$$
1932.4.a.c $1$ $113.992$ $$\Q$$ None None $$0$$ $$3$$ $$8$$ $$7$$ $-$ $$q+3q^{3}+8q^{5}+7q^{7}+9q^{9}+5^{2}q^{11}+\cdots$$
1932.4.a.d $3$ $113.992$ 3.3.660841.1 None None $$0$$ $$-9$$ $$17$$ $$21$$ $+$ $$q-3q^{3}+(6+\beta _{2})q^{5}+7q^{7}+9q^{9}+\cdots$$
1932.4.a.e $6$ $113.992$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$-18$$ $$-32$$ $$42$$ $+$ $$q-3q^{3}+(-5-\beta _{1})q^{5}+7q^{7}+9q^{9}+\cdots$$
1932.4.a.f $6$ $113.992$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$-18$$ $$8$$ $$42$$ $-$ $$q-3q^{3}+(1+\beta _{1})q^{5}+7q^{7}+9q^{9}+\cdots$$
1932.4.a.g $7$ $113.992$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$21$$ $$-23$$ $$49$$ $-$ $$q+3q^{3}+(-3-\beta _{1})q^{5}+7q^{7}+9q^{9}+\cdots$$
1932.4.a.h $8$ $113.992$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$-24$$ $$15$$ $$-56$$ $-$ $$q-3q^{3}+(2-\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots$$
1932.4.a.i $8$ $113.992$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$24$$ $$-15$$ $$-56$$ $-$ $$q+3q^{3}+(-2+\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots$$
1932.4.a.j $9$ $113.992$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$-27$$ $$-15$$ $$-63$$ $+$ $$q-3q^{3}+(-2+\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots$$