## Results (1-50 of 53 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1875.1.c.a $2$ $0.936$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$1$$ $$q-q^{3}+q^{4}+(1-\beta )q^{7}+q^{9}-q^{12}+\cdots$$
1875.1.c.b $2$ $0.936$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$-1$$ $$q+q^{3}+q^{4}+(-1+\beta )q^{7}+q^{9}+q^{12}+\cdots$$
1875.1.d.a $4$ $0.936$ $$\Q(i, \sqrt{5})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}-q^{4}-\beta _{1}q^{7}-q^{9}-\beta _{3}q^{12}+\cdots$$
1875.1.h.a $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$-3$$ $$1$$ $$0$$ $$0$$ $$q+(-1+\zeta_{10})q^{2}+\zeta_{10}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots$$
1875.1.h.b $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$-2$$ $$-1$$ $$0$$ $$0$$ $$q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}-\zeta_{10}q^{3}+(-\zeta_{10}+\cdots)q^{4}+\cdots$$
1875.1.h.c $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$2$$ $$1$$ $$0$$ $$0$$ $$q+(-\zeta_{10}^{2}-\zeta_{10}^{4})q^{2}+\zeta_{10}q^{3}+(-\zeta_{10}+\cdots)q^{4}+\cdots$$
1875.1.h.d $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$3$$ $$-1$$ $$0$$ $$0$$ $$q+(1-\zeta_{10})q^{2}-\zeta_{10}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots$$
1875.1.h.e $8$ $0.936$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{7}q^{3}+\zeta_{20}^{2}q^{4}+(\zeta_{20}+\zeta_{20}^{9}+\cdots)q^{7}+\cdots$$
1875.1.h.f $8$ $0.936$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{7}q^{3}+\zeta_{20}^{2}q^{4}+(-\zeta_{20}^{3}-\zeta_{20}^{7}+\cdots)q^{7}+\cdots$$
1875.1.j.a $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+(-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
1875.1.j.b $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+(\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{7}+\cdots$$
1875.1.j.c $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots$$
1875.1.j.d $4$ $0.936$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+(\zeta_{10}-\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
1875.1.j.e $8$ $0.936$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{20}^{5}+\zeta_{20}^{9})q^{2}-\zeta_{20}^{9}q^{3}+(-1+\cdots)q^{4}+\cdots$$
1875.1.j.f $8$ $0.936$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{20}-\zeta_{20}^{3})q^{2}-\zeta_{20}^{9}q^{3}+(\zeta_{20}^{2}+\cdots)q^{4}+\cdots$$
1875.2.a.a $2$ $14.972$ $$\Q(\sqrt{5})$$ None None $$-2$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+(2-4\beta )q^{7}+\cdots$$
1875.2.a.b $2$ $14.972$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$-2$$ $$0$$ $$4$$ $+$ $$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$$
1875.2.a.c $2$ $14.972$ $$\Q(\sqrt{5})$$ None None $$1$$ $$2$$ $$0$$ $$-4$$ $+$ $$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$$
1875.2.a.d $2$ $14.972$ $$\Q(\sqrt{5})$$ None None $$2$$ $$2$$ $$0$$ $$0$$ $-$ $$q+q^{2}+q^{3}-q^{4}+q^{6}+(-2+4\beta )q^{7}+\cdots$$
1875.2.a.e $4$ $14.972$ 4.4.5125.1 None None $$-2$$ $$-4$$ $$0$$ $$-2$$ $+$ $$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.f $4$ $14.972$ $$\Q(\zeta_{15})^+$$ None None $$-1$$ $$4$$ $$0$$ $$-5$$ $+$ $$q+(\beta _{2}+\beta _{3})q^{2}+q^{3}+\beta _{1}q^{4}+(\beta _{2}+\beta _{3})q^{6}+\cdots$$
1875.2.a.g $4$ $14.972$ $$\Q(\zeta_{15})^+$$ None None $$1$$ $$-4$$ $$0$$ $$5$$ $+$ $$q+(-\beta _{2}-\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
1875.2.a.h $4$ $14.972$ 4.4.5125.1 None None $$2$$ $$4$$ $$0$$ $$2$$ $-$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.i $6$ $14.972$ 6.6.46840000.1 None None $$-1$$ $$6$$ $$0$$ $$2$$ $-$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1875.2.a.j $6$ $14.972$ 6.6.44400625.1 None None $$0$$ $$-6$$ $$0$$ $$-6$$ $+$ $$q-\beta _{1}q^{2}-q^{3}+(1-\beta _{3}+\beta _{4})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.k $6$ $14.972$ 6.6.44400625.1 None None $$0$$ $$6$$ $$0$$ $$6$$ $-$ $$q+\beta _{1}q^{2}+q^{3}+(1-\beta _{3}+\beta _{4})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.l $6$ $14.972$ 6.6.46840000.1 None None $$1$$ $$-6$$ $$0$$ $$-2$$ $-$ $$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1875.2.a.m $8$ $14.972$ 8.8.5444000000.1 None None $$-4$$ $$8$$ $$0$$ $$-8$$ $+$ $$q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1875.2.a.n $8$ $14.972$ 8.8.$$\cdots$$.1 None None $$-1$$ $$-8$$ $$0$$ $$-12$$ $-$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{4}+\beta _{5})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.o $8$ $14.972$ 8.8.$$\cdots$$.1 None None $$1$$ $$8$$ $$0$$ $$12$$ $-$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{4}+\beta _{5})q^{4}+\beta _{1}q^{6}+\cdots$$
1875.2.a.p $8$ $14.972$ 8.8.5444000000.1 None None $$4$$ $$-8$$ $$0$$ $$8$$ $-$ $$q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1875.2.b.a $4$ $14.972$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}-\beta _{2}q^{6}+\cdots$$
1875.2.b.b $4$ $14.972$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{3}q^{3}+q^{4}+q^{6}+(-4\beta _{1}+\cdots)q^{7}+\cdots$$
1875.2.b.c $8$ $14.972$ 8.0.$$\cdots$$.12 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(-2+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots$$
1875.2.b.d $8$ $14.972$ 8.0.324000000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{3}-\beta _{7})q^{2}+\beta _{5}q^{3}-\beta _{4}q^{4}+\cdots$$
1875.2.b.e $12$ $14.972$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}+(-2+\beta _{2})q^{4}+\beta _{11}q^{6}+\cdots$$
1875.2.b.f $12$ $14.972$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{9}q^{3}+(-1+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$$
1875.2.b.g $16$ $14.972$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2})q^{2}+\beta _{11}q^{3}+(-1-\beta _{3}+\cdots)q^{4}+\cdots$$
1875.2.b.h $16$ $14.972$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{9})q^{2}-\beta _{9}q^{3}+(-1-\beta _{14}+\cdots)q^{4}+\cdots$$
1875.4.a.a $10$ $110.629$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$-1$$ $$-30$$ $$0$$ $$51$$ $-$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
1875.4.a.b $10$ $110.629$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$-1$$ $$30$$ $$0$$ $$21$$ $+$ $$q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{2}-\beta _{3})q^{4}+\cdots$$
1875.4.a.c $10$ $110.629$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$1$$ $$-30$$ $$0$$ $$-21$$ $+$ $$q+\beta _{1}q^{2}-3q^{3}+(2+\beta _{2}-\beta _{3})q^{4}+\cdots$$
1875.4.a.d $10$ $110.629$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$1$$ $$30$$ $$0$$ $$-51$$ $-$ $$q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
1875.4.a.e $14$ $110.629$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-8$$ $$42$$ $$0$$ $$-29$$ $-$ $$q+(-1+\beta _{1})q^{2}+3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1875.4.a.f $14$ $110.629$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$-42$$ $$0$$ $$27$$ $+$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots$$
1875.4.a.g $14$ $110.629$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$42$$ $$0$$ $$-27$$ $-$ $$q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots$$
1875.4.a.h $14$ $110.629$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$8$$ $$-42$$ $$0$$ $$29$$ $+$ $$q+(1-\beta _{1})q^{2}-3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1875.4.a.i $16$ $110.629$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-1$$ $$48$$ $$0$$ $$-52$$ $-$ $$q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{2})q^{4}-3\beta _{1}q^{6}+\cdots$$
1875.4.a.j $16$ $110.629$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$1$$ $$-48$$ $$0$$ $$52$$ $-$ $$q+\beta _{1}q^{2}-3q^{3}+(2+\beta _{2})q^{4}-3\beta _{1}q^{6}+\cdots$$
1875.4.a.k $24$ $110.629$ None None $$-1$$ $$-72$$ $$0$$ $$-62$$ $+$