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Results (displaying matches 1-50 of 91) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
61.2.a.a \(1\) \(0.487\) \(\Q\) None \(-1\) \(-2\) \(-3\) \(1\) \(+\) \(q-q^{2}-2q^{3}-q^{4}-3q^{5}+2q^{6}+q^{7}+\cdots\)
61.2.a.b \(3\) \(0.487\) 3.3.148.1 None \(1\) \(2\) \(-1\) \(-3\) \(-\) \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
61.2.b.a \(4\) \(0.487\) 4.0.29952.1 None \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+(-2+\beta _{2}+\cdots)q^{4}+\cdots\)
61.2.c.a \(8\) \(0.487\) 8.0.310217769.2 None \(0\) \(-6\) \(-2\) \(-1\) \(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
61.2.e.a \(12\) \(0.487\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-1\) \(-5\) \(-10\) \(q-\beta _{5}q^{2}+(\beta _{8}+\beta _{10})q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
61.2.f.a \(2\) \(0.487\) \(\Q(\sqrt{-3}) \) None \(-3\) \(-4\) \(-3\) \(-6\) \(q+(-1-\zeta_{6})q^{2}-2q^{3}+\zeta_{6}q^{4}+(-3+\cdots)q^{5}+\cdots\)
61.2.f.b \(8\) \(0.487\) 8.0.542936601.2 None \(0\) \(-2\) \(6\) \(-3\) \(q+(\beta _{1}+\beta _{6})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(-\beta _{2}+\cdots)q^{4}+\cdots\)
61.2.g.a \(16\) \(0.487\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-5\) \(-1\) \(0\) \(10\) \(q+\beta _{2}q^{2}+(-1-\beta _{1}+\beta _{2}-2\beta _{4}-2\beta _{5}+\cdots)q^{3}+\cdots\)
61.2.i.a \(32\) \(0.487\) None \(-10\) \(-4\) \(2\) \(1\)
61.2.k.a \(40\) \(0.487\) None \(-7\) \(-4\) \(-18\) \(-11\)
61.3.d.a \(20\) \(1.662\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-4\) \(0\) \(0\) \(2\) \(q-\beta _{1}q^{2}+\beta _{12}q^{3}+(2\beta _{11}+\beta _{15})q^{4}+\cdots\)
61.3.h.a \(36\) \(1.662\) None \(-2\) \(0\) \(6\) \(-18\)
61.3.j.a \(80\) \(1.662\) None \(-6\) \(-10\) \(-30\) \(-12\)
61.3.l.a \(144\) \(1.662\) None \(-18\) \(-20\) \(-6\) \(-2\)
61.4.a.a \(6\) \(3.599\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-7\) \(-13\) \(-16\) \(-27\) \(-\) \(q+(-1-\beta _{1})q^{2}+(-2+\beta _{1}+\beta _{4})q^{3}+\cdots\)
61.4.a.b \(9\) \(3.599\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(3\) \(11\) \(24\) \(1\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(6+\beta _{2})q^{4}+\cdots\)
61.4.b.a \(14\) \(3.599\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(0\) \(-2\) \(-14\) \(0\) \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(-3+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
61.4.c.a \(30\) \(3.599\) None \(1\) \(8\) \(-11\) \(23\)
61.4.e.a \(60\) \(3.599\) None \(-1\) \(-3\) \(-33\) \(-29\)
61.4.f.a \(28\) \(3.599\) None \(-3\) \(8\) \(-22\) \(33\)
61.4.g.a \(56\) \(3.599\) None \(-5\) \(-3\) \(-26\) \(45\)
61.4.i.a \(120\) \(3.599\) None \(-11\) \(-18\) \(21\) \(-73\)
61.4.k.a \(112\) \(3.599\) None \(-7\) \(-18\) \(47\) \(-3\)
61.5.d.a \(38\) \(6.306\) None \(-2\) \(0\) \(0\) \(-22\)
61.5.h.a \(80\) \(6.306\) None \(-4\) \(0\) \(66\) \(2\)
61.5.j.a \(152\) \(6.306\) None \(-8\) \(-10\) \(-130\) \(12\)
61.5.l.a \(320\) \(6.306\) None \(-16\) \(-20\) \(34\) \(-22\)
61.6.a.a \(11\) \(9.783\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-9\) \(-46\) \(-129\) \(-87\) \(+\) \(q+(-1+\beta _{1})q^{2}+(-4+\beta _{7})q^{3}+(11+\cdots)q^{4}+\cdots\)
61.6.a.b \(14\) \(9.783\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(11\) \(26\) \(71\) \(109\) \(-\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{5})q^{3}+(19-\beta _{1}+\cdots)q^{4}+\cdots\)
61.6.b.a \(26\) \(9.783\) None \(0\) \(-20\) \(-128\) \(0\)
61.6.c.a \(48\) \(9.783\) None \(-5\) \(-22\) \(46\) \(-113\)
61.6.e.a \(100\) \(9.783\) None \(-7\) \(15\) \(93\) \(-262\)
61.6.f.a \(50\) \(9.783\) None \(-3\) \(-22\) \(11\) \(207\)
61.6.g.a \(104\) \(9.783\) None \(-5\) \(15\) \(-122\) \(230\)
61.6.i.a \(192\) \(9.783\) None \(-5\) \(12\) \(-96\) \(-407\)
61.6.k.a \(200\) \(9.783\) None \(-7\) \(12\) \(224\) \(293\)
61.7.d.a \(60\) \(14.033\) None \(6\) \(0\) \(0\) \(-258\)
61.7.h.a \(120\) \(14.033\) None \(-12\) \(0\) \(126\) \(1644\)
61.7.j.a \(240\) \(14.033\) None \(-16\) \(-10\) \(-230\) \(248\)
61.7.l.a \(480\) \(14.033\) None \(-8\) \(-20\) \(74\) \(-1664\)
61.8.a.a \(16\) \(19.055\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-17\) \(-82\) \(-571\) \(-355\) \(-\) \(q+(-1-\beta _{1})q^{2}+(-5-\beta _{5})q^{3}+(46+\cdots)q^{4}+\cdots\)
61.8.a.b \(19\) \(19.055\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(23\) \(134\) \(429\) \(1017\) \(+\) \(q+(1+\beta _{1})q^{2}+(7+\beta _{3})q^{3}+(69+2\beta _{1}+\cdots)q^{4}+\cdots\)
61.8.b.a \(34\) \(19.055\) None \(0\) \(52\) \(696\) \(0\)
61.8.c.a \(72\) \(19.055\) None \(-9\) \(50\) \(-446\) \(-1681\)
61.8.e.a \(140\) \(19.055\) None \(-11\) \(-57\) \(-833\) \(1978\)
61.8.f.a \(70\) \(19.055\) None \(-3\) \(50\) \(-27\) \(495\)
61.8.g.a \(136\) \(19.055\) None \(-5\) \(-57\) \(414\) \(-2650\)
61.8.i.a \(288\) \(19.055\) None \(-1\) \(-60\) \(1406\) \(-4759\)
61.8.k.a \(280\) \(19.055\) None \(-7\) \(-60\) \(-1098\) \(5925\)
61.9.d.a \(82\) \(24.850\) None \(-2\) \(0\) \(0\) \(-7502\)
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