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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
92.2.a.a \(1\) \(0.735\) \(\Q\) None \(0\) \(-3\) \(-2\) \(-4\) \(+\) \(q-3q^{3}-2q^{5}-4q^{7}+6q^{9}+2q^{11}+\cdots\)
92.2.a.b \(1\) \(0.735\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(-\) \(q+q^{3}+2q^{7}-2q^{9}-q^{13}-6q^{17}+\cdots\)
92.2.b.a \(4\) \(0.735\) \(\Q(i, \sqrt{14})\) None \(-4\) \(0\) \(0\) \(0\) \(q+(-1-\beta _{1})q^{2}+\beta _{1}q^{3}+2\beta _{1}q^{4}+\cdots\)
92.2.b.b \(6\) \(0.735\) 6.0.8869743.1 \(\Q(\sqrt{-23}) \) \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(-\beta _{2}-\beta _{4})q^{3}+\beta _{2}q^{4}+\cdots\)
92.2.e.a \(20\) \(0.735\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(2\) \(2\) \(2\) \(q+(1-\beta _{6}+\beta _{8}-\beta _{9}-\beta _{10}-\beta _{11}+\cdots)q^{3}+\cdots\)
92.2.h.a \(100\) \(0.735\) None \(-7\) \(0\) \(-22\) \(0\)
92.3.c.a \(22\) \(2.507\) None \(0\) \(0\) \(-4\) \(0\)
92.3.d.a \(4\) \(2.507\) 4.0.53792.1 None \(0\) \(2\) \(0\) \(0\) \(q+\beta _{3}q^{3}-\beta _{2}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
92.3.f.a \(40\) \(2.507\) None \(0\) \(-2\) \(0\) \(0\)
92.3.g.a \(220\) \(2.507\) None \(-11\) \(0\) \(-18\) \(0\)
92.4.a.a \(3\) \(5.428\) 3.3.1229.1 None \(0\) \(-4\) \(-10\) \(-46\) \(-\) \(q+(-1-\beta _{2})q^{3}+(-4-\beta _{1}+3\beta _{2})q^{5}+\cdots\)
92.4.a.b \(3\) \(5.428\) 3.3.28669.1 None \(0\) \(8\) \(0\) \(42\) \(+\) \(q+(3+\beta _{2})q^{3}+\beta _{1}q^{5}+(14-\beta _{1})q^{7}+\cdots\)
92.4.b.a \(2\) \(5.428\) \(\Q(\sqrt{-23}) \) \(\Q(\sqrt{-23}) \) \(-3\) \(0\) \(0\) \(0\) \(q+(-1-\beta )q^{2}+(-2+4\beta )q^{3}+(-5+\cdots)q^{4}+\cdots\)
92.4.b.b \(4\) \(5.428\) \(\Q(\sqrt{-3}, \sqrt{-23})\) \(\Q(\sqrt{-23}) \) \(3\) \(0\) \(0\) \(0\) \(q+(1+\beta _{1}+\beta _{3})q^{2}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
92.4.b.c \(28\) \(5.428\) None \(0\) \(0\) \(0\) \(0\)
92.4.e.a \(60\) \(5.428\) None \(0\) \(-4\) \(10\) \(4\)
92.4.h.a \(340\) \(5.428\) None \(-11\) \(0\) \(-22\) \(0\)
92.5.c.a \(44\) \(9.510\) None \(0\) \(0\) \(24\) \(0\)
92.5.d.a \(8\) \(9.510\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(-10\) \(0\) \(0\) \(q+(-1-\beta _{2})q^{3}+\beta _{3}q^{5}-\beta _{6}q^{7}+(40+\cdots)q^{9}+\cdots\)
92.5.f.a \(80\) \(9.510\) None \(0\) \(10\) \(0\) \(0\)
92.5.g.a \(460\) \(9.510\) None \(-3\) \(0\) \(-18\) \(0\)
92.6.a.a \(4\) \(14.755\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(-7\) \(-36\) \(46\) \(+\) \(q+(-2+\beta _{1})q^{3}+(-9-2\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
92.6.a.b \(4\) \(14.755\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(29\) \(14\) \(248\) \(-\) \(q+(7+\beta _{1})q^{3}+(3+2\beta _{1}-\beta _{2})q^{5}+(62+\cdots)q^{7}+\cdots\)
92.6.b.a \(6\) \(14.755\) 6.0.8869743.1 \(\Q(\sqrt{-23}) \) \(0\) \(0\) \(0\) \(0\) \(q+(-3\beta _{1}-2\beta _{3}+\beta _{4}+\beta _{5})q^{2}+(-5\beta _{1}+\cdots)q^{3}+\cdots\)
92.6.b.b \(52\) \(14.755\) None \(0\) \(0\) \(0\) \(0\)
92.6.e.a \(100\) \(14.755\) None \(0\) \(2\) \(-86\) \(-118\)
92.6.h.a \(580\) \(14.755\) None \(-11\) \(0\) \(-22\) \(0\)
92.7.c.a \(66\) \(21.165\) None \(0\) \(0\) \(-44\) \(0\)
92.7.d.a \(12\) \(21.165\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(32\) \(0\) \(0\) \(q+(3+\beta _{2})q^{3}-\beta _{1}q^{5}+\beta _{7}q^{7}+(320+\cdots)q^{9}+\cdots\)
92.7.f.a \(120\) \(21.165\) None \(0\) \(-32\) \(0\) \(0\)
92.7.g.a \(700\) \(21.165\) None \(-19\) \(0\) \(-18\) \(0\)
92.8.a.a \(7\) \(28.739\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-67\) \(-180\) \(-1640\) \(-\) \(q+(-10+\beta _{1})q^{3}+(-26-\beta _{5})q^{5}+\cdots\)
92.8.a.b \(7\) \(28.739\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(41\) \(70\) \(1246\) \(+\) \(q+(6-\beta _{1})q^{3}+(10-\beta _{1}-\beta _{2})q^{5}+(179+\cdots)q^{7}+\cdots\)
92.8.b.a \(6\) \(28.739\) 6.0.8869743.1 \(\Q(\sqrt{-23}) \) \(0\) \(0\) \(0\) \(0\) \(q+(3\beta _{1}-4\beta _{3}+\beta _{5})q^{2}+(-11\beta _{1}+18\beta _{3}+\cdots)q^{3}+\cdots\)
92.8.b.b \(76\) \(28.739\) None \(-16\) \(0\) \(0\) \(0\)
92.8.e.a \(140\) \(28.739\) None \(0\) \(26\) \(110\) \(394\)
92.8.h.a \(820\) \(28.739\) None \(5\) \(0\) \(-22\) \(0\)
92.9.c.a \(88\) \(37.479\) None \(0\) \(0\) \(-336\) \(0\)
92.9.d.a \(16\) \(37.479\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(-70\) \(0\) \(0\) \(q+(-4+\beta _{2})q^{3}+\beta _{1}q^{5}-\beta _{9}q^{7}+(1370+\cdots)q^{9}+\cdots\)
92.9.f.a \(160\) \(37.479\) None \(0\) \(70\) \(0\) \(0\)
92.9.g.a \(940\) \(37.479\) None \(-3\) \(0\) \(-18\) \(0\)
92.10.a.a \(8\) \(47.383\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-316\) \(154\) \(-9198\) \(+\) \(q+(-40+\beta _{1})q^{3}+(18+2\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
92.10.a.b \(8\) \(47.383\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(1404\) \(18042\) \(-\) \(q+(1+\beta _{1})q^{3}+(176-\beta _{3})q^{5}+(2255+\cdots)q^{7}+\cdots\)
92.10.b.a \(2\) \(47.383\) \(\Q(\sqrt{-23}) \) \(\Q(\sqrt{-23}) \) \(45\) \(0\) \(0\) \(0\) \(q+(23-\beta )q^{2}+(22-44\beta )q^{3}+(523+\cdots)q^{4}+\cdots\)
92.10.b.b \(4\) \(47.383\) \(\Q(\sqrt{-3}, \sqrt{-23})\) \(\Q(\sqrt{-23}) \) \(-45\) \(0\) \(0\) \(0\) \(q+(-11+5\beta _{1}-6\beta _{2})q^{2}+(11+65\beta _{1}+\cdots)q^{3}+\cdots\)
92.10.b.c \(100\) \(47.383\) None \(32\) \(0\) \(0\) \(0\)
92.10.e.a \(180\) \(47.383\) None \(0\) \(-148\) \(-226\) \(3812\)
92.10.h.a \(1060\) \(47.383\) None \(-43\) \(0\) \(-22\) \(0\)
92.11.c.a \(110\) \(58.453\) None \(0\) \(0\) \(3116\) \(0\)
92.11.d.a \(20\) \(58.453\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(62\) \(0\) \(0\) \(q+(3+\beta _{2})q^{3}+\beta _{1}q^{5}+\beta _{10}q^{7}+(13723+\cdots)q^{9}+\cdots\)
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