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## Results (1-50 of 130 matches)

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Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1520.1.m.a $$1$$ $$0.759$$ $$\Q$$ $$\Q(\sqrt{-19})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+q^{5}-q^{9}+2q^{11}-q^{19}+q^{25}+\cdots$$
1520.1.m.b $$2$$ $$0.759$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta q^{3}-q^{5}+q^{9}-\beta q^{13}+\beta q^{15}+\cdots$$
1520.1.m.c $$2$$ $$0.759$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{5}+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{9}-q^{11}+\cdots$$
1520.1.ba.a $$2$$ $$0.759$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-2$$ $$-2$$ $$q-q^{5}+(-1-i)q^{7}-iq^{9}+iq^{11}+\cdots$$
1520.1.ba.b $$2$$ $$0.759$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-2$$ $$2$$ $$q-q^{5}+(1+i)q^{7}-iq^{9}-iq^{11}+(-1+\cdots)q^{17}+\cdots$$
1520.1.ba.c $$4$$ $$0.759$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$2$$ $$-2$$ $$q+\zeta_{12}^{2}q^{5}+(-\zeta_{12}-\zeta_{12}^{2})q^{7}-\zeta_{12}^{3}q^{9}+\cdots$$
1520.1.ba.d $$4$$ $$0.759$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$2$$ $$2$$ $$q+\zeta_{12}^{2}q^{5}+(-\zeta_{12}+\zeta_{12}^{2})q^{7}+\zeta_{12}^{3}q^{9}+\cdots$$
1520.1.bh.a $$4$$ $$0.759$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{5}+\cdots$$
1520.1.bh.b $$4$$ $$0.759$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}+q^{5}+\cdots$$
1520.1.bh.c $$16$$ $$0.759$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{3}q^{2}+(\zeta_{32}-\zeta_{32}^{7})q^{3}+\zeta_{32}^{6}q^{4}+\cdots$$
1520.1.br.a $$2$$ $$0.759$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}-q^{11}-\zeta_{6}^{2}q^{19}+\cdots$$
1520.1.bu.a $$2$$ $$0.759$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+(\zeta_{6}+\zeta_{6}^{2})q^{11}+\cdots$$
1520.1.bu.b $$2$$ $$0.759$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+(-\zeta_{6}-\zeta_{6}^{2})q^{11}+\cdots$$
1520.1.cr.a $$4$$ $$0.759$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{4})q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{9}+\cdots$$
1520.1.cr.b $$4$$ $$0.759$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{5}q^{9}+\cdots$$
1520.2.a.a $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$1$$ $$+$$ $$q-3q^{3}+q^{5}+q^{7}+6q^{9}-4q^{11}+\cdots$$
1520.2.a.b $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$-2$$ $$+$$ $$q-2q^{3}-q^{5}-2q^{7}+q^{9}+6q^{13}+\cdots$$
1520.2.a.c $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$-4$$ $$+$$ $$q-2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots$$
1520.2.a.d $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$1$$ $$+$$ $$q-q^{3}+q^{5}+q^{7}-2q^{9}-q^{13}-q^{15}+\cdots$$
1520.2.a.e $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $$-$$ $$q-q^{5}+2q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots$$
1520.2.a.f $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q+q^{5}-3q^{9}+4q^{11}-6q^{13}-6q^{17}+\cdots$$
1520.2.a.g $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{13}-q^{15}+\cdots$$
1520.2.a.h $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$-4$$ $$+$$ $$q+2q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
1520.2.a.i $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$0$$ $$-$$ $$q+2q^{3}+q^{5}+q^{9}+4q^{11}+4q^{13}+\cdots$$
1520.2.a.j $$1$$ $$12.137$$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$5$$ $$-$$ $$q+3q^{3}-q^{5}+5q^{7}+6q^{9}+4q^{11}+\cdots$$
1520.2.a.k $$2$$ $$12.137$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{3}-q^{5}+(1-2\beta )q^{9}-2q^{11}+\cdots$$
1520.2.a.l $$2$$ $$12.137$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$2$$ $$-4$$ $$+$$ $$q+(-1+\beta )q^{3}+q^{5}-2q^{7}+(1-2\beta )q^{9}+\cdots$$
1520.2.a.m $$2$$ $$12.137$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+\beta q^{3}-q^{5}+2\beta q^{7}-q^{9}+(-2+2\beta )q^{11}+\cdots$$
1520.2.a.n $$2$$ $$12.137$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $$-$$ $$q+\beta q^{3}+q^{5}+\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots$$
1520.2.a.o $$2$$ $$12.137$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$4$$ $$2$$ $$4$$ $$-$$ $$q+(2+\beta )q^{3}+q^{5}+(2-2\beta )q^{7}+(3+4\beta )q^{9}+\cdots$$
1520.2.a.p $$3$$ $$12.137$$ 3.3.148.1 None None $$0$$ $$-2$$ $$3$$ $$0$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots$$
1520.2.a.q $$3$$ $$12.137$$ 3.3.316.1 None None $$0$$ $$1$$ $$-3$$ $$1$$ $$+$$ $$q+\beta _{1}q^{3}-q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots$$
1520.2.a.r $$3$$ $$12.137$$ 3.3.568.1 None None $$0$$ $$1$$ $$-3$$ $$5$$ $$-$$ $$q+\beta _{1}q^{3}-q^{5}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots$$
1520.2.a.s $$3$$ $$12.137$$ 3.3.229.1 None None $$0$$ $$1$$ $$3$$ $$1$$ $$-$$ $$q-\beta _{2}q^{3}+q^{5}-\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots$$
1520.2.a.t $$4$$ $$12.137$$ 4.4.11344.1 None None $$0$$ $$-2$$ $$-4$$ $$-4$$ $$-$$ $$q+\beta _{2}q^{3}-q^{5}+(-1+\beta _{1})q^{7}+(2-\beta _{3})q^{9}+\cdots$$
1520.2.d.a $$2$$ $$12.137$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1-i)q^{5}+iq^{7}-q^{9}+\cdots$$
1520.2.d.b $$2$$ $$12.137$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}-iq^{7}+3q^{9}+4q^{11}+\cdots$$
1520.2.d.c $$4$$ $$12.137$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
1520.2.d.d $$4$$ $$12.137$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
1520.2.d.e $$4$$ $$12.137$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
1520.2.d.f $$4$$ $$12.137$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots$$
1520.2.d.g $$4$$ $$12.137$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+(1-\zeta_{8})q^{5}+(-\zeta_{8}-2\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
1520.2.d.h $$6$$ $$12.137$$ 6.0.16516096.1 None None $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\beta _{4}q^{3}+\beta _{3}q^{5}+(\beta _{1}+\beta _{4})q^{7}+(-3+\cdots)q^{9}+\cdots$$
1520.2.d.i $$6$$ $$12.137$$ 6.0.14077504.2 None None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\beta _{2}q^{3}+\beta _{5}q^{5}+(-\beta _{3}-\beta _{4})q^{7}+\cdots$$
1520.2.d.j $$6$$ $$12.137$$ 6.0.5161984.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{5}q^{3}+(\beta _{2}+\beta _{3})q^{5}+(-\beta _{4}+\beta _{5})q^{7}+\cdots$$
1520.2.d.k $$12$$ $$12.137$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{11}q^{3}-\beta _{6}q^{5}+(\beta _{5}+\beta _{11})q^{7}+\cdots$$
1520.2.g.a $$2$$ $$12.137$$ $$\Q(\sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$-6$$ $$q-\beta q^{5}-3q^{7}+3q^{9}+(1-2\beta )q^{11}+\cdots$$
1520.2.g.b $$2$$ $$12.137$$ $$\Q(\sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$6$$ $$q+(-1+\beta )q^{5}+3q^{7}+3q^{9}+(1-2\beta )q^{11}+\cdots$$
1520.2.g.c $$4$$ $$12.137$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$-6$$ $$q-\beta _{3}q^{5}+(-2-\beta _{1}-\beta _{3})q^{7}+3q^{9}+\cdots$$
1520.2.g.d $$4$$ $$12.137$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$6$$ $$q-\beta _{1}q^{5}+(2+\beta _{1}+\beta _{3})q^{7}+3q^{9}+\cdots$$
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