## Results (1-50 of 136 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
605.1.f.a $2$ $0.302$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1+i)q^{3}+iq^{4}-iq^{5}+iq^{9}+(-1+\cdots)q^{12}+\cdots$$
605.1.h.a $4$ $0.302$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{10}^{3}q^{4}+\zeta_{10}q^{5}+\zeta_{10}^{4}q^{9}-\zeta_{10}q^{16}+\cdots$$
605.1.l.a $8$ $0.302$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\zeta_{20}-\zeta_{20}^{6})q^{3}-\zeta_{20}^{9}q^{4}-\zeta_{20}^{3}q^{5}+\cdots$$
605.2.a.a $1$ $4.831$ $$\Q$$ None None $$-1$$ $$-3$$ $$1$$ $$-3$$ $+$ $$q-q^{2}-3q^{3}-q^{4}+q^{5}+3q^{6}-3q^{7}+\cdots$$
605.2.a.b $1$ $4.831$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$0$$ $+$ $$q-q^{2}-q^{4}+q^{5}+3q^{8}-3q^{9}-q^{10}+\cdots$$
605.2.a.c $1$ $4.831$ $$\Q$$ None None $$1$$ $$-3$$ $$1$$ $$3$$ $+$ $$q+q^{2}-3q^{3}-q^{4}+q^{5}-3q^{6}+3q^{7}+\cdots$$
605.2.a.d $2$ $4.831$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$4$$ $-$ $$q+(-1+\beta )q^{2}+2\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
605.2.a.e $2$ $4.831$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $+$ $$q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{7}+\cdots$$
605.2.a.f $2$ $4.831$ $$\Q(\sqrt{3})$$ None None $$0$$ $$4$$ $$2$$ $$0$$ $-$ $$q+\beta q^{2}+2q^{3}+q^{4}+q^{5}+2\beta q^{6}+\cdots$$
605.2.a.g $3$ $4.831$ 3.3.404.1 None None $$-1$$ $$1$$ $$-3$$ $$1$$ $-$ $$q-\beta _{2}q^{2}+\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots$$
605.2.a.h $3$ $4.831$ 3.3.404.1 None None $$1$$ $$1$$ $$-3$$ $$-1$$ $-$ $$q+\beta _{2}q^{2}+\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots$$
605.2.a.i $4$ $4.831$ 4.4.2525.1 None None $$-3$$ $$-2$$ $$4$$ $$-11$$ $+$ $$q+(-1-\beta _{3})q^{2}-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
605.2.a.j $4$ $4.831$ 4.4.725.1 None None $$-1$$ $$0$$ $$-4$$ $$-3$$ $+$ $$q-\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
605.2.a.k $4$ $4.831$ 4.4.725.1 None None $$1$$ $$0$$ $$-4$$ $$3$$ $-$ $$q+\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
605.2.a.l $4$ $4.831$ 4.4.2525.1 None None $$3$$ $$-2$$ $$4$$ $$11$$ $-$ $$q+(1+\beta _{2}-\beta _{3})q^{2}+(-1+\beta _{1})q^{3}+\cdots$$
605.2.a.m $6$ $4.831$ 6.6.27433728.1 None None $$0$$ $$6$$ $$6$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
605.2.b.a $2$ $4.831$ $$\Q(\sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$3$$ $$0$$ $$q+(-1+2\beta )q^{3}+2q^{4}+(1+\beta )q^{5}+\cdots$$
605.2.b.b $4$ $4.831$ 4.0.4400.1 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-2-\beta _{3})q^{4}+\beta _{3}q^{5}-\beta _{1}q^{7}+\cdots$$
605.2.b.c $4$ $4.831$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+\cdots$$
605.2.b.d $4$ $4.831$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
605.2.b.e $4$ $4.831$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
605.2.b.f $8$ $4.831$ 8.0.1480160000.1 None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{6}+\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots$$
605.2.b.g $8$ $4.831$ 8.0.1480160000.1 None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{6}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots$$
605.2.b.h $12$ $4.831$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-6$$ $$0$$ $$q+\beta _{9}q^{2}-\beta _{8}q^{3}+(-2-\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots$$
605.2.e.a $20$ $4.831$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$4$$ $$4$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{12}q^{3}+(-\beta _{4}+\beta _{10}-\beta _{13}+\cdots)q^{4}+\cdots$$
605.2.e.b $32$ $4.831$ None None $$0$$ $$-4$$ $$8$$ $$0$$
605.2.e.c $40$ $4.831$ None None $$0$$ $$8$$ $$-4$$ $$0$$
605.2.g.a $4$ $4.831$ $$\Q(\zeta_{10})$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
605.2.g.b $4$ $4.831$ $$\Q(\zeta_{10})$$ None None $$-1$$ $$3$$ $$-1$$ $$-3$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
605.2.g.c $4$ $4.831$ $$\Q(\zeta_{10})$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{3}q^{4}+\cdots$$
605.2.g.d $4$ $4.831$ $$\Q(\zeta_{10})$$ None None $$1$$ $$3$$ $$-1$$ $$3$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-3\zeta_{10}^{2}q^{3}+\cdots$$
605.2.g.e $8$ $4.831$ 8.0.13140625.1 None None $$-3$$ $$5$$ $$2$$ $$-4$$ $$q-\beta _{2}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{7})q^{3}+(1+\cdots)q^{4}+\cdots$$
605.2.g.f $8$ $4.831$ 8.0.64000000.2 None None $$-2$$ $$0$$ $$2$$ $$4$$ $$q+(-1-\beta _{2}+\beta _{3}-\beta _{4}-\beta _{6})q^{2}+(2\beta _{1}+\cdots)q^{3}+\cdots$$
605.2.g.g $8$ $4.831$ 8.0.159390625.1 None None $$-1$$ $$1$$ $$-2$$ $$8$$ $$q+(1-\beta _{2}-\beta _{3}-\beta _{5}-\beta _{6})q^{2}+(-\beta _{1}+\cdots)q^{3}+\cdots$$
605.2.g.h $8$ $4.831$ 8.0.324000000.3 None None $$0$$ $$-4$$ $$-2$$ $$0$$ $$q+\beta _{7}q^{2}+2\beta _{6}q^{3}+\beta _{4}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
605.2.g.i $8$ $4.831$ 8.0.324000000.3 None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+\beta _{7}q^{2}-\beta _{6}q^{3}+\beta _{4}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
605.2.g.j $8$ $4.831$ 8.0.159390625.1 None None $$1$$ $$1$$ $$-2$$ $$-8$$ $$q+(-1+\beta _{2}+\beta _{3}+\beta _{5}+\beta _{6})q^{2}+(-\beta _{1}+\cdots)q^{3}+\cdots$$
605.2.g.k $8$ $4.831$ 8.0.13140625.1 None None $$2$$ $$-5$$ $$2$$ $$1$$ $$q+\beta _{6}q^{2}+(-1+\beta _{1}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots$$
605.2.g.l $8$ $4.831$ 8.0.64000000.2 None None $$2$$ $$0$$ $$2$$ $$-4$$ $$q+(-\beta _{2}+\beta _{7})q^{2}+2\beta _{1}q^{3}+(2\beta _{1}+2\beta _{3}+\cdots)q^{4}+\cdots$$
605.2.g.m $8$ $4.831$ 8.0.13140625.1 None None $$3$$ $$5$$ $$2$$ $$4$$ $$q+\beta _{2}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{7})q^{3}+(1+\cdots)q^{4}+\cdots$$
605.2.g.n $8$ $4.831$ 8.0.159390625.1 None None $$4$$ $$1$$ $$-2$$ $$3$$ $$q+(\beta _{1}+\beta _{2}-\beta _{4})q^{2}+\beta _{1}q^{3}+(-2+\cdots)q^{4}+\cdots$$
605.2.g.o $12$ $4.831$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-1$$ $$-1$$ $$3$$ $$1$$ $$q-\beta _{11}q^{2}+\beta _{8}q^{3}+(-\beta _{1}-3\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots$$
605.2.g.p $12$ $4.831$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$1$$ $$-1$$ $$3$$ $$-1$$ $$q+\beta _{9}q^{2}-\beta _{1}q^{3}+(-3+\beta _{3}+3\beta _{4}+\cdots)q^{4}+\cdots$$
605.2.g.q $24$ $4.831$ None None $$0$$ $$-6$$ $$-6$$ $$0$$
605.2.j.a $8$ $4.831$ 8.0.484000000.6 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$-10$$ $$0$$ $$q+(\beta _{1}-\beta _{4})q^{2}+(1+\beta _{2}-3\beta _{3}+3\beta _{5}+\cdots)q^{4}+\cdots$$
605.2.j.b $8$ $4.831$ 8.0.228765625.1 $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-3$$ $$0$$ $$q+(-\beta _{4}-2\beta _{5})q^{3}+(-2+2\beta _{3}+2\beta _{4}+\cdots)q^{4}+\cdots$$
605.2.j.c $8$ $4.831$ 8.0.484000000.6 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$10$$ $$0$$ $$q+(\beta _{1}-\beta _{6})q^{2}+(-2\beta _{2}+2\beta _{3}-3\beta _{5}+\cdots)q^{4}+\cdots$$
605.2.j.d $16$ $4.831$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\beta _{1}-\beta _{12}-\beta _{13})q^{2}+(-\beta _{5}-\beta _{13}+\cdots)q^{3}+\cdots$$
605.2.j.e $16$ $4.831$ 16.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{12}q^{2}+\beta _{3}q^{3}-\beta _{10}q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
605.2.j.f $16$ $4.831$ 16.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{12}q^{2}-\beta _{3}q^{3}-\beta _{10}q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$