Learn more

Refine search


Results (1-50 of 165 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
775.1.c.a $2$ $0.387$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{2}-iq^{7}-iq^{8}-q^{9}-q^{14}+\cdots\)
775.1.d.a $1$ $0.387$ \(\Q\) \(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-155}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) $-$ \(q-q^{4}+q^{9}+q^{16}+2q^{19}-q^{31}+\cdots\)
775.1.d.b $1$ $0.387$ \(\Q\) \(\Q(\sqrt{-31}) \) None \(1\) \(0\) \(0\) \(1\) $-$ \(q+q^{2}+q^{7}-q^{8}+q^{9}+q^{14}-q^{16}+\cdots\)
775.1.d.c $2$ $0.387$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta q^{2}+2q^{4}+\beta q^{7}-\beta q^{8}+q^{9}+\cdots\)
775.1.w.a $4$ $0.387$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-31}) \) None \(3\) \(0\) \(-1\) \(-2\) $-$ \(q+(1-\zeta_{10})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2})q^{4}+\cdots\)
775.1.w.b $8$ $0.387$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-31}) \) None \(-3\) \(0\) \(1\) \(2\) $-$ \(q+(-\zeta_{30}^{5}-\zeta_{30}^{13})q^{2}+(-\zeta_{30}^{3}+\cdots)q^{4}+\cdots\)
775.1.z.a $4$ $0.387$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-31}) \) None \(-5\) \(0\) \(1\) \(0\) $-$ \(q+(-1+\zeta_{10}^{4})q^{2}+(1-\zeta_{10}^{3}-\zeta_{10}^{4}+\cdots)q^{4}+\cdots\)
775.1.z.b $8$ $0.387$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-31}) \) None \(5\) \(0\) \(-1\) \(0\) $-$ \(q+(\zeta_{30}^{2}-\zeta_{30}^{10})q^{2}+(\zeta_{30}^{4}-\zeta_{30}^{5}+\cdots)q^{4}+\cdots\)
775.2.a.a $1$ $6.188$ \(\Q\) None None \(0\) \(1\) \(0\) \(0\) $+$ \(q+q^{3}-2q^{4}-2q^{9}-4q^{11}-2q^{12}+\cdots\)
775.2.a.b $1$ $6.188$ \(\Q\) None None \(1\) \(-2\) \(0\) \(-4\) $-$ \(q+q^{2}-2q^{3}-q^{4}-2q^{6}-4q^{7}-3q^{8}+\cdots\)
775.2.a.c $1$ $6.188$ \(\Q\) None None \(2\) \(1\) \(0\) \(2\) $-$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+2q^{7}+\cdots\)
775.2.a.d $2$ $6.188$ \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(0\) \(4\) $-$ \(q-\beta q^{2}+2\beta q^{3}+(-1+\beta )q^{4}+(-2+\cdots)q^{6}+\cdots\)
775.2.a.e $4$ $6.188$ 4.4.8468.1 None None \(-1\) \(-1\) \(0\) \(-2\) $+$ \(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\beta _{3})q^{4}+\cdots\)
775.2.a.f $4$ $6.188$ \(\Q(\zeta_{24})^+\) None None \(0\) \(0\) \(0\) \(0\) $+$ \(q+(\beta _{1}+\beta _{3})q^{2}-\beta _{1}q^{3}+(-1-\beta _{2}+\cdots)q^{6}+\cdots\)
775.2.a.g $4$ $6.188$ 4.4.20308.1 None None \(1\) \(1\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots\)
775.2.a.h $5$ $6.188$ 5.5.144209.1 None None \(-4\) \(-3\) \(0\) \(-2\) $+$ \(q+(-1+\beta _{3})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
775.2.a.i $5$ $6.188$ 5.5.205225.1 None None \(-4\) \(-1\) \(0\) \(-6\) $+$ \(q+(-1+\beta _{1})q^{2}+\beta _{3}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
775.2.a.j $5$ $6.188$ 5.5.205225.1 None None \(4\) \(1\) \(0\) \(6\) $-$ \(q+(1-\beta _{1})q^{2}-\beta _{3}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
775.2.a.k $5$ $6.188$ 5.5.144209.1 None None \(4\) \(3\) \(0\) \(2\) $-$ \(q+(1-\beta _{3})q^{2}+(1-\beta _{2})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
775.2.a.l $10$ $6.188$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{4}+\cdots)q^{6}+\cdots\)
775.2.b.a $2$ $6.188$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+2iq^{7}+\cdots\)
775.2.b.b $2$ $6.188$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+iq^{2}+2iq^{3}+q^{4}-2q^{6}-4iq^{7}+\cdots\)
775.2.b.c $2$ $6.188$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}+2q^{4}+2q^{9}-4q^{11}-2iq^{12}+\cdots\)
775.2.b.d $4$ $6.188$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}+2\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{6}+\cdots\)
775.2.b.e $8$ $6.188$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{7}q^{2}-\beta _{4}q^{3}+(-2+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots\)
775.2.b.f $8$ $6.188$ 8.0.4589249536.2 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{5}q^{2}-\beta _{1}q^{3}+(-1-\beta _{4})q^{4}+(-1+\cdots)q^{6}+\cdots\)
775.2.b.g $10$ $6.188$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(\beta _{4}+\beta _{7})q^{2}+(-\beta _{4}-\beta _{8})q^{3}+(-1+\cdots)q^{4}+\cdots\)
775.2.b.h $10$ $6.188$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(\beta _{1}+\beta _{2})q^{2}+\beta _{3}q^{3}+(-2+\beta _{6}+\cdots)q^{4}+\cdots\)
775.2.e.a $2$ $6.188$ \(\Q(\sqrt{-3}) \) None None \(-4\) \(2\) \(0\) \(-2\) $-$ \(q-2q^{2}+(2-2\zeta_{6})q^{3}+2q^{4}+(-4+\cdots)q^{6}+\cdots\)
775.2.e.b $2$ $6.188$ \(\Q(\sqrt{-3}) \) None None \(4\) \(2\) \(0\) \(4\) $-$ \(q+2q^{2}+(2-2\zeta_{6})q^{3}+2q^{4}+(4-4\zeta_{6})q^{6}+\cdots\)
775.2.e.c $4$ $6.188$ \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(-2\) \(-3\) \(0\) \(-3\) $-$ \(q+(-1+\beta _{3})q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{3}+\cdots\)
775.2.e.d $4$ $6.188$ \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(2\) \(3\) \(0\) \(3\) $-$ \(q+\beta _{3}q^{2}+(-1+\beta _{1}-2\beta _{2}+\beta _{3})q^{3}+\cdots\)
775.2.e.e $4$ $6.188$ \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(4\) \(-2\) \(0\) \(2\) $-$ \(q+(1+\beta _{3})q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
775.2.e.f $8$ $6.188$ 8.0.42575625.1 None None \(-2\) \(1\) \(0\) \(-1\) $-$ \(q+\beta _{4}q^{2}+(-1-\beta _{1}+2\beta _{3}-\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots\)
775.2.e.g $8$ $6.188$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(2\) \(-3\) \(0\) \(1\) $-$ \(q+\beta _{6}q^{2}+(-\beta _{1}+\beta _{4}+\beta _{6})q^{3}+(\beta _{2}+\cdots)q^{4}+\cdots\)
775.2.e.h $18$ $6.188$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(-2\) \(0\) \(0\) \(-5\) $-$ \(q+\beta _{3}q^{2}+\beta _{14}q^{3}+(1-\beta _{2})q^{4}+(\beta _{13}+\cdots)q^{6}+\cdots\)
775.2.e.i $18$ $6.188$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(2\) \(0\) \(0\) \(5\) $-$ \(q-\beta _{3}q^{2}+(-\beta _{5}+\beta _{14})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)
775.2.e.j $28$ $6.188$ None None \(0\) \(0\) \(0\) \(0\) $-$
775.2.f.a $4$ $6.188$ \(\Q(i, \sqrt{6})\) None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
775.2.f.b $4$ $6.188$ \(\Q(i, \sqrt{6})\) None None \(0\) \(4\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}+\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
775.2.f.c $8$ $6.188$ 8.0.3317760000.2 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{6}q^{2}-\beta _{3}q^{3}-4\beta _{2}q^{4}-\beta _{7}q^{6}+\cdots\)
775.2.f.d $8$ $6.188$ 8.0.\(\cdots\).2 \(\Q(\sqrt{-155}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{3}q^{3}+2\beta _{4}q^{4}+(-3\beta _{4}-\beta _{7})q^{9}+\cdots\)
775.2.f.e $12$ $6.188$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{4}q^{2}+(2\beta _{1}-\beta _{2})q^{4}+(-\beta _{2}+\beta _{9}+\cdots)q^{7}+\cdots\)
775.2.f.f $16$ $6.188$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(4\) \(0\) \(0\) \(12\) $-$ \(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{7}+\cdots)q^{6}+\cdots\)
775.2.f.g $40$ $6.188$ None None \(0\) \(0\) \(0\) \(0\) $-$
775.2.h.a $312$ $6.188$ None None \(-1\) \(3\) \(-6\) \(-8\) $-$
775.2.i.a $312$ $6.188$ None None \(-1\) \(-2\) \(-6\) \(2\) $-$
775.2.j.a $4$ $6.188$ \(\Q(\zeta_{10})\) None None \(-2\) \(-6\) \(-5\) \(8\) $-$ \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
775.2.j.b $140$ $6.188$ None None \(-1\) \(0\) \(-3\) \(-2\) $-$
775.2.j.c $160$ $6.188$ None None \(1\) \(6\) \(2\) \(-10\) $-$
Next   Download to