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Results (41 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
869.1.j.a \(20\) \(0.434\) \(\Q(\zeta_{50})\) \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{2}+(-\zeta_{50}^{5}+\cdots)q^{4}+\cdots\)
869.2.a.a \(1\) \(6.939\) \(\Q\) None None \(-2\) \(1\) \(1\) \(-2\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}-2q^{7}+\cdots\)
869.2.a.b \(1\) \(6.939\) \(\Q\) None None \(-1\) \(-2\) \(2\) \(4\) \(-\) \(q-q^{2}-2q^{3}-q^{4}+2q^{5}+2q^{6}+4q^{7}+\cdots\)
869.2.a.c \(1\) \(6.939\) \(\Q\) None None \(1\) \(-1\) \(1\) \(1\) \(+\) \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
869.2.a.d \(1\) \(6.939\) \(\Q\) None None \(1\) \(1\) \(1\) \(-5\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-5q^{7}+\cdots\)
869.2.a.e \(11\) \(6.939\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-3\) \(-3\) \(-8\) \(-7\) \(+\) \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(\beta _{1}+\beta _{7}+\beta _{8})q^{4}+\cdots\)
869.2.a.f \(11\) \(6.939\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(1\) \(-9\) \(-8\) \(-3\) \(+\) \(q+\beta _{1}q^{2}+(-1-\beta _{7})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
869.2.a.g \(18\) \(6.939\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(4\) \(8\) \(-3\) \(10\) \(-\) \(q+\beta _{1}q^{2}-\beta _{15}q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
869.2.a.h \(21\) \(6.939\) None None \(0\) \(7\) \(6\) \(10\) \(-\)
869.2.b.a \(10\) \(6.939\) 10.0.\(\cdots\).1 \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{8}q^{2}+(-2+\beta _{1}+\beta _{5}-\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots\)
869.2.b.b \(68\) \(6.939\) None None \(0\) \(0\) \(-4\) \(0\)
869.2.e.a \(66\) \(6.939\) None None \(0\) \(-3\) \(0\) \(-4\)
869.2.e.b \(66\) \(6.939\) None None \(0\) \(1\) \(0\) \(2\)
869.2.f.a \(4\) \(6.939\) \(\Q(\zeta_{10})\) None None \(-3\) \(-1\) \(-3\) \(-5\) \(q+(-1+\zeta_{10}^{3})q^{2}+(-\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
869.2.f.b \(132\) \(6.939\) None None \(2\) \(4\) \(16\) \(8\)
869.2.f.c \(176\) \(6.939\) None None \(-1\) \(-9\) \(-19\) \(3\)
869.2.i.a \(156\) \(6.939\) None None \(0\) \(-6\) \(-2\) \(0\)
869.2.l.a \(8\) \(6.939\) 8.0.484000000.9 None None \(10\) \(0\) \(14\) \(0\) \(q+(2+\beta _{2}+\beta _{3}-\beta _{5})q^{2}+(-\beta _{1}-\beta _{4}+\cdots)q^{3}+\cdots\)
869.2.l.b \(40\) \(6.939\) \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\)
869.2.l.c \(264\) \(6.939\) None None \(-20\) \(0\) \(-20\) \(0\)
869.2.m.a \(408\) \(6.939\) None None \(0\) \(-4\) \(0\) \(1\)
869.2.m.b \(408\) \(6.939\) None None \(0\) \(0\) \(0\) \(-13\)
869.2.n.a \(8\) \(6.939\) \(\Q(\zeta_{15})\) None None \(-3\) \(-1\) \(-2\) \(4\) \(q+(\zeta_{15}^{2}+\zeta_{15}^{5})q^{2}+(1-\zeta_{15}+\zeta_{15}^{3}+\cdots)q^{3}+\cdots\)
869.2.n.b \(616\) \(6.939\) None None \(2\) \(-2\) \(-1\) \(-7\)
869.2.q.a \(936\) \(6.939\) None None \(0\) \(-26\) \(-22\) \(0\)
869.2.r.a \(624\) \(6.939\) None None \(-5\) \(-9\) \(-3\) \(-15\)
869.2.u.a \(792\) \(6.939\) None None \(0\) \(-1\) \(0\) \(11\)
869.2.u.b \(792\) \(6.939\) None None \(0\) \(3\) \(0\) \(-9\)
869.2.v.a \(3744\) \(6.939\) None None \(-37\) \(-33\) \(-33\) \(-45\)
869.2.w.a \(1872\) \(6.939\) None None \(0\) \(-46\) \(-50\) \(0\)
869.2.z.a \(3744\) \(6.939\) None None \(-55\) \(-39\) \(-33\) \(-65\)
869.2.bc.a \(7488\) \(6.939\) None None \(-77\) \(-75\) \(-75\) \(-75\)
869.2.bf.a \(7488\) \(6.939\) None None \(-125\) \(-69\) \(-75\) \(-115\)
869.4.a.a \(44\) \(51.273\) None None \(-2\) \(-16\) \(-32\) \(-70\) \(-\)
869.4.a.b \(46\) \(51.273\) None None \(-8\) \(-24\) \(-30\) \(-98\) \(-\)
869.4.a.c \(52\) \(51.273\) None None \(-2\) \(26\) \(28\) \(70\) \(+\)
869.4.a.d \(54\) \(51.273\) None None \(8\) \(18\) \(30\) \(98\) \(+\)
869.6.a.a \(76\) \(139.374\) None None \(-16\) \(-79\) \(-174\) \(-686\) \(+\)
869.6.a.b \(78\) \(139.374\) None None \(4\) \(-48\) \(-131\) \(-490\) \(+\)
869.6.a.c \(84\) \(139.374\) None None \(16\) \(47\) \(126\) \(686\) \(-\)
869.6.a.d \(86\) \(139.374\) None None \(4\) \(78\) \(169\) \(490\) \(-\)
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