## Results (displaying matches 1-50 of 241) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
600.1.n.a $$1$$ $$0.299$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$-1$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$$
600.1.n.b $$1$$ $$0.299$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
600.1.q.a $$4$$ $$0.299$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{30})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}+q^{6}+\cdots$$
600.1.q.b $$8$$ $$0.299$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{3}q^{2}-\zeta_{24}q^{3}+\zeta_{24}^{6}q^{4}-\zeta_{24}^{4}q^{6}+\cdots$$
600.1.z.a $$8$$ $$0.299$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}q^{2}+\zeta_{20}^{7}q^{3}+\zeta_{20}^{2}q^{4}+\zeta_{20}q^{5}+\cdots$$
600.1.bj.a $$4$$ $$0.299$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$-1$$ $$-2$$ $$q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}-\zeta_{10}q^{5}+\cdots$$
600.1.bj.b $$4$$ $$0.299$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$1$$ $$-2$$ $$q+\zeta_{10}q^{2}-\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+\zeta_{10}q^{5}+\cdots$$
600.2.a.a $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-4$$ $$-$$ $$q-q^{3}-4q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots$$
600.2.a.b $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-3$$ $$+$$ $$q-q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots$$
600.2.a.c $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+q^{9}-4q^{11}-6q^{13}+6q^{17}+\cdots$$
600.2.a.d $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $$-$$ $$q-q^{3}+2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
600.2.a.e $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$5$$ $$-$$ $$q-q^{3}+5q^{7}+q^{9}-6q^{11}+3q^{13}+\cdots$$
600.2.a.f $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-5$$ $$+$$ $$q+q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots$$
600.2.a.g $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-2$$ $$-$$ $$q+q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$$
600.2.a.h $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$q+q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots$$
600.2.a.i $$1$$ $$4.791$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$3$$ $$-$$ $$q+q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots$$
600.2.b.a $$2$$ $$4.791$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta q^{2}+(1-\beta )q^{3}-2q^{4}+(2+\beta )q^{6}+\cdots$$
600.2.b.b $$4$$ $$4.791$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(-1-\beta _{2})q^{3}-2q^{4}+(-1+\cdots)q^{6}+\cdots$$
600.2.b.c $$4$$ $$4.791$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2})q^{3}+\beta _{3}q^{4}+(-2+\cdots)q^{6}+\cdots$$
600.2.b.d $$4$$ $$4.791$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}-2q^{4}+(-1+\cdots)q^{6}+\cdots$$
600.2.b.e $$8$$ $$4.791$$ 8.0.1649659456.5 None None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
600.2.b.f $$8$$ $$4.791$$ 8.0.1649659456.5 None None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{6}q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
600.2.b.g $$12$$ $$4.791$$ 12.0.$$\cdots$$.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{8}q^{2}-\beta _{5}q^{3}+(1+\beta _{4})q^{4}+(-\beta _{4}+\cdots)q^{6}+\cdots$$
600.2.b.h $$12$$ $$4.791$$ 12.0.$$\cdots$$.1 None None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
600.2.b.i $$16$$ $$4.791$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{5}q^{3}-\beta _{14}q^{4}+(\beta _{7}+\beta _{12}+\cdots)q^{6}+\cdots$$
600.2.d.a $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$-2$$ $$0$$ $$0$$ $$q+(-1+i)q^{2}-q^{3}-2iq^{4}+(1-i)q^{6}+\cdots$$
600.2.d.b $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$2$$ $$0$$ $$0$$ $$q+(-1+i)q^{2}+q^{3}-2iq^{4}+(-1+\cdots)q^{6}+\cdots$$
600.2.d.c $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+(1+i)q^{2}-q^{3}+2iq^{4}+(-1-i)q^{6}+\cdots$$
600.2.d.d $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$2$$ $$0$$ $$0$$ $$q+(1+i)q^{2}+q^{3}+2iq^{4}+(1+i)q^{6}+\cdots$$
600.2.d.e $$6$$ $$4.791$$ 6.0.399424.1 None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-q^{3}-\beta _{2}q^{4}-\beta _{3}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
600.2.d.f $$6$$ $$4.791$$ 6.0.399424.1 None None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+q^{3}-\beta _{1}q^{4}-\beta _{2}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
600.2.d.g $$8$$ $$4.791$$ 8.0.214798336.3 None None $$-2$$ $$-8$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-q^{3}+(-1-\beta _{1}+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots$$
600.2.d.h $$8$$ $$4.791$$ 8.0.214798336.3 None None $$2$$ $$8$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+q^{3}+(-1-\beta _{1}+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots$$
600.2.f.a $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+5iq^{7}-q^{9}-6q^{11}-3iq^{13}+\cdots$$
600.2.f.b $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}-4q^{11}+6iq^{13}+6iq^{17}+\cdots$$
600.2.f.c $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-4iq^{7}-q^{9}-6iq^{13}+2iq^{17}+\cdots$$
600.2.f.d $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-3iq^{7}-q^{9}+2q^{11}-3iq^{13}+\cdots$$
600.2.f.e $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}+4q^{11}+2iq^{13}+2iq^{17}+\cdots$$
600.2.k.a $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$0$$ $$-4$$ $$q+(-1+i)q^{2}-iq^{3}-2iq^{4}+(1+i)q^{6}+\cdots$$
600.2.k.b $$2$$ $$4.791$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$4$$ $$q+(1+i)q^{2}+iq^{3}+2iq^{4}+(-1+i)q^{6}+\cdots$$
600.2.k.c $$6$$ $$4.791$$ 6.0.399424.1 None None $$-2$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{1}q^{2}+\beta _{3}q^{3}+(\beta _{2}-\beta _{3})q^{4}+\beta _{4}q^{6}+\cdots$$
600.2.k.d $$8$$ $$4.791$$ 8.0.214798336.3 None None $$-2$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{3}q^{2}+\beta _{2}q^{3}+(-\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots$$
600.2.k.e $$8$$ $$4.791$$ 8.0.214798336.3 None None $$2$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{3}q^{2}-\beta _{2}q^{3}+(-\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots$$
600.2.k.f $$12$$ $$4.791$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}-\beta _{5}q^{6}+\cdots$$
600.2.m.a $$4$$ $$4.791$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}+2q^{4}+\cdots$$
600.2.m.b $$8$$ $$4.791$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{3}q^{3}+2q^{4}+(-1+\cdots)q^{6}+\cdots$$
600.2.m.c $$16$$ $$4.791$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{7}q^{3}+\beta _{2}q^{4}+(-1+\beta _{11}+\cdots)q^{6}+\cdots$$
600.2.m.d $$16$$ $$4.791$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{6}q^{3}+\beta _{2}q^{4}-\beta _{14}q^{6}+\cdots$$
600.2.m.e $$24$$ $$4.791$$ None None $$0$$ $$0$$ $$0$$ $$0$$
600.2.r.a $$4$$ $$4.791$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$-8$$ $$q+(-1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-2+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
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