## Results (1-50 of 82 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3584.1.c.a $4$ $1.789$ 4.0.2048.2 $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q+\beta _{3}q^{3}-\beta _{1}q^{5}-q^{7}+(-1-\beta _{2}+\cdots)q^{9}+\cdots$$
3584.1.c.b $4$ $1.789$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{14})$$ $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+q^{9}+\cdots$$
3584.1.c.c $4$ $1.789$ 4.0.2048.2 $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q-\beta _{3}q^{3}-\beta _{1}q^{5}+q^{7}+(-1-\beta _{2}+\cdots)q^{9}+\cdots$$
3584.1.h.a $4$ $1.789$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q-\beta _{3}q^{3}-\beta _{1}q^{5}-q^{7}+(1-\beta _{2})q^{9}+\cdots$$
3584.1.h.b $4$ $1.789$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{14})$$ $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}-q^{9}+(\zeta_{8}+\cdots)q^{11}+\cdots$$
3584.1.h.c $4$ $1.789$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+\beta _{3}q^{3}-\beta _{1}q^{5}+q^{7}+(1-\beta _{2})q^{9}+\cdots$$
3584.1.v.a $4$ $1.789$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{9}+(-1-\zeta_{8}^{3})q^{11}+\cdots$$
3584.1.v.b $4$ $1.789$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{8}^{3}q^{7}-\zeta_{8}q^{9}+(-1-\zeta_{8}^{3})q^{11}+\cdots$$
3584.1.v.c $4$ $1.789$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{9}+(1+\zeta_{8}^{3})q^{11}+\cdots$$
3584.1.v.d $4$ $1.789$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{8}^{3}q^{7}-\zeta_{8}q^{9}+(1+\zeta_{8}^{3})q^{11}+\cdots$$
3584.1.bf.a $8$ $1.789$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{16}q^{7}-\zeta_{16}^{7}q^{9}+(\zeta_{16}^{3}+\zeta_{16}^{6}+\cdots)q^{11}+\cdots$$
3584.1.bf.b $8$ $1.789$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{16}q^{7}-\zeta_{16}^{7}q^{9}+(-\zeta_{16}^{3}-\zeta_{16}^{6}+\cdots)q^{11}+\cdots$$
3584.1.bm.a $16$ $1.789$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{32}^{5}q^{7}+\zeta_{32}^{3}q^{9}+(\zeta_{32}^{6}+\zeta_{32}^{15}+\cdots)q^{11}+\cdots$$
3584.1.cd.a $64$ $1.789$ $$\Q(\zeta_{128})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{128}^{59}q^{2}-\zeta_{128}^{54}q^{4}+\zeta_{128}^{63}q^{7}+\cdots$$
3584.2.a.a $2$ $28.618$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q+\beta q^{3}-q^{7}-q^{9}-\beta q^{11}-\beta q^{19}+\cdots$$
3584.2.a.b $2$ $28.618$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+\beta q^{3}+q^{7}-q^{9}-\beta q^{11}-\beta q^{19}+\cdots$$
3584.2.a.c $4$ $28.618$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q+\beta _{1}q^{3}-\beta _{3}q^{5}-q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.d $4$ $28.618$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $+$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.e $6$ $28.618$ 6.6.18857984.1 None None $$0$$ $$-4$$ $$0$$ $$-6$$ $+$ $$q+(-1-\beta _{2})q^{3}+\beta _{1}q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.f $6$ $28.618$ 6.6.18857984.1 None None $$0$$ $$-4$$ $$0$$ $$6$$ $+$ $$q+(-1-\beta _{2})q^{3}-\beta _{1}q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.g $6$ $28.618$ 6.6.12836864.1 None None $$0$$ $$0$$ $$-4$$ $$-6$$ $+$ $$q-\beta _{1}q^{3}+(-1-\beta _{5})q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
3584.2.a.h $6$ $28.618$ 6.6.12836864.1 None None $$0$$ $$0$$ $$-4$$ $$6$$ $+$ $$q+\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
3584.2.a.i $6$ $28.618$ 6.6.12836864.1 None None $$0$$ $$0$$ $$4$$ $$-6$$ $-$ $$q+\beta _{1}q^{3}+(1+\beta _{5})q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
3584.2.a.j $6$ $28.618$ 6.6.12836864.1 None None $$0$$ $$0$$ $$4$$ $$6$$ $-$ $$q-\beta _{1}q^{3}+(1+\beta _{5})q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
3584.2.a.k $6$ $28.618$ 6.6.18857984.1 None None $$0$$ $$4$$ $$0$$ $$-6$$ $-$ $$q+(1+\beta _{2})q^{3}-\beta _{1}q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.l $6$ $28.618$ 6.6.18857984.1 None None $$0$$ $$4$$ $$0$$ $$6$$ $-$ $$q+(1+\beta _{2})q^{3}+\beta _{1}q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3584.2.a.m $8$ $28.618$ 8.8.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$-8$$ $+$ $$q+\beta _{7}q^{3}+(-\beta _{3}-\beta _{7})q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots$$
3584.2.a.n $8$ $28.618$ 8.8.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$8$$ $-$ $$q+\beta _{7}q^{3}+(\beta _{3}+\beta _{7})q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
3584.2.a.o $10$ $28.618$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $-$ $$q-\beta _{5}q^{3}-\beta _{3}q^{5}-q^{7}+(2+\beta _{6})q^{9}+\cdots$$
3584.2.a.p $10$ $28.618$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$10$$ $-$ $$q-\beta _{5}q^{3}+\beta _{3}q^{5}+q^{7}+(2+\beta _{6})q^{9}+\cdots$$
3584.2.b.a $2$ $28.618$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q+\beta q^{3}-q^{7}+q^{9}+\beta q^{11}-\beta q^{19}+\cdots$$
3584.2.b.b $2$ $28.618$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+\beta q^{3}+q^{7}+q^{9}+\beta q^{11}-\beta q^{19}+\cdots$$
3584.2.b.c $4$ $28.618$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$$
3584.2.b.d $4$ $28.618$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+\beta _{1}q^{3}-\beta _{3}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots$$
3584.2.b.e $8$ $28.618$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$-8$$ $-$ $$q+\beta _{7}q^{3}+(\beta _{5}-\beta _{7})q^{5}-q^{7}+(-1+\cdots)q^{9}+\cdots$$
3584.2.b.f $8$ $28.618$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$8$$ $-$ $$q+\beta _{7}q^{3}+(-\beta _{5}+\beta _{7})q^{5}+q^{7}+(-1+\cdots)q^{9}+\cdots$$
3584.2.b.g $10$ $28.618$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $-$ $$q-\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(-2-\beta _{5}+\cdots)q^{9}+\cdots$$
3584.2.b.h $10$ $28.618$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$10$$ $-$ $$q-\beta _{1}q^{3}+\beta _{6}q^{5}+q^{7}+(-2-\beta _{5}+\cdots)q^{9}+\cdots$$
3584.2.b.i $12$ $28.618$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $-$ $$q-\beta _{6}q^{3}+\beta _{7}q^{5}-q^{7}+(-2+\beta _{5}+\cdots)q^{9}+\cdots$$
3584.2.b.j $12$ $28.618$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $-$ $$q+\beta _{1}q^{3}+\beta _{4}q^{5}-q^{7}-\beta _{2}q^{9}+\beta _{7}q^{11}+\cdots$$
3584.2.b.k $12$ $28.618$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $-$ $$q-\beta _{6}q^{3}-\beta _{7}q^{5}+q^{7}+(-2+\beta _{5}+\cdots)q^{9}+\cdots$$
3584.2.b.l $12$ $28.618$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $-$ $$q+\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}-\beta _{2}q^{9}+\beta _{7}q^{11}+\cdots$$
3584.2.m.a $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$-2$$ $$0$$ $-$ $$q+(-2+2i)q^{3}+(-1-i)q^{5}+iq^{7}+\cdots$$
3584.2.m.b $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$2$$ $$0$$ $-$ $$q+(-2+2i)q^{3}+(1+i)q^{5}-iq^{7}+\cdots$$
3584.2.m.c $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $-$ $$q+(-1+i)q^{3}+(-2-2i)q^{5}+iq^{7}+\cdots$$
3584.2.m.d $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $-$ $$q+(-1+i)q^{3}+(-2-2i)q^{5}-iq^{7}+\cdots$$
3584.2.m.e $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $-$ $$q+(-1+i)q^{3}+(-2-2i)q^{5}+iq^{7}+\cdots$$
3584.2.m.f $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $-$ $$q+(-1+i)q^{3}+(-2-2i)q^{5}-iq^{7}+\cdots$$
3584.2.m.g $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1+i)q^{3}+iq^{7}+iq^{9}+(2+2i)q^{11}+\cdots$$
3584.2.m.h $2$ $28.618$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1+i)q^{3}-iq^{7}+iq^{9}+(2+2i)q^{11}+\cdots$$