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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
141.2.a.a \(1\) \(1.126\) \(\Q\) None \(-2\) \(1\) \(-3\) \(-3\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
141.2.a.b \(1\) \(1.126\) \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+4q^{7}+3q^{8}+\cdots\)
141.2.a.c \(1\) \(1.126\) \(\Q\) None \(-1\) \(1\) \(2\) \(0\) \(-\) \(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots\)
141.2.a.d \(1\) \(1.126\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-3\) \(+\) \(q-q^{3}-2q^{4}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
141.2.a.e \(1\) \(1.126\) \(\Q\) None \(2\) \(1\) \(-1\) \(-3\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-3q^{7}+\cdots\)
141.2.a.f \(2\) \(1.126\) \(\Q(\sqrt{17}) \) None \(-1\) \(-2\) \(1\) \(1\) \(-\) \(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
141.2.c.a \(4\) \(1.126\) \(\Q(\sqrt{-2}, \sqrt{15})\) None \(0\) \(-4\) \(0\) \(-4\) \(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+\beta _{3}q^{5}+(-2+\cdots)q^{6}+\cdots\)
141.2.c.b \(10\) \(1.126\) 10.0.\(\cdots\).1 \(\Q(\sqrt{-47}) \) \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}-\beta _{1}q^{3}+(-2-\beta _{5})q^{4}-\beta _{6}q^{6}+\cdots\)
141.2.e.a \(88\) \(1.126\) None \(-2\) \(-4\) \(-4\) \(-2\)
141.2.e.b \(88\) \(1.126\) None \(2\) \(4\) \(0\) \(-2\)
141.2.g.a \(308\) \(1.126\) None \(0\) \(-19\) \(0\) \(-42\)
141.3.b.a \(30\) \(3.842\) None \(0\) \(-4\) \(0\) \(-4\)
141.3.d.a \(16\) \(3.842\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(12\) \(q-\beta _{9}q^{2}-\beta _{4}q^{3}+(2-\beta _{4}-\beta _{11})q^{4}+\cdots\)
141.3.f.a \(352\) \(3.842\) None \(0\) \(0\) \(0\) \(-12\)
141.3.h.a \(660\) \(3.842\) None \(0\) \(-19\) \(0\) \(-42\)
141.4.a.a \(2\) \(8.319\) \(\Q(\sqrt{111}) \) None \(8\) \(6\) \(6\) \(20\) \(+\) \(q+4q^{2}+3q^{3}+8q^{4}+(3+\beta )q^{5}+12q^{6}+\cdots\)
141.4.a.b \(5\) \(8.319\) 5.5.13374304.1 None \(-5\) \(15\) \(-34\) \(-26\) \(-\) \(q+(-1-\beta _{3})q^{2}+3q^{3}+(1-\beta _{1}+2\beta _{3}+\cdots)q^{4}+\cdots\)
141.4.a.c \(5\) \(8.319\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-1\) \(15\) \(10\) \(10\) \(+\) \(q-\beta _{1}q^{2}+3q^{3}+(3-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
141.4.a.d \(5\) \(8.319\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(1\) \(-15\) \(-4\) \(-26\) \(-\) \(q-\beta _{1}q^{2}-3q^{3}+(2+\beta _{2})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
141.4.a.e \(7\) \(8.319\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(-21\) \(6\) \(30\) \(+\) \(q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
141.4.c.a \(10\) \(8.319\) 10.0.\(\cdots\).1 \(\Q(\sqrt{-47}) \) \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(-\beta _{1}-\beta _{2}-\beta _{5})q^{3}+(-8+\cdots)q^{4}+\cdots\)
141.4.c.b \(36\) \(8.319\) None \(0\) \(2\) \(0\) \(-4\)
141.4.e.a \(264\) \(8.319\) None \(-2\) \(-36\) \(18\) \(-4\)
141.4.e.b \(264\) \(8.319\) None \(2\) \(36\) \(-2\) \(-4\)
141.4.g.a \(1012\) \(8.319\) None \(0\) \(-25\) \(0\) \(-42\)
141.5.b.a \(62\) \(14.575\) None \(0\) \(8\) \(0\) \(-4\)
141.5.d.a \(32\) \(14.575\) None \(0\) \(0\) \(0\) \(-60\)
141.5.f.a \(704\) \(14.575\) None \(0\) \(0\) \(0\) \(60\)
141.5.h.a \(1364\) \(14.575\) None \(0\) \(-31\) \(0\) \(-42\)
141.6.a.a \(1\) \(22.614\) \(\Q\) None \(8\) \(9\) \(69\) \(135\) \(-\) \(q+8q^{2}+9q^{3}+2^{5}q^{4}+69q^{5}+72q^{6}+\cdots\)
141.6.a.b \(8\) \(22.614\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-11\) \(72\) \(-95\) \(-215\) \(+\) \(q+(-1-\beta _{1})q^{2}+9q^{3}+(10+2\beta _{1}+\cdots)q^{4}+\cdots\)
141.6.a.c \(9\) \(22.614\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(5\) \(81\) \(86\) \(42\) \(-\) \(q+(1-\beta _{1})q^{2}+9q^{3}+(18-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.6.a.d \(9\) \(22.614\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-81\) \(-39\) \(-255\) \(+\) \(q+(1-\beta _{1})q^{2}-9q^{3}+(15-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.6.a.e \(11\) \(22.614\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(1\) \(-99\) \(11\) \(137\) \(-\) \(q+\beta _{1}q^{2}-9q^{3}+(21+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
141.6.c.a \(2\) \(22.614\) \(\Q(\sqrt{-47}) \) \(\Q(\sqrt{-47}) \) \(0\) \(28\) \(0\) \(-512\) \(q-\beta q^{2}+(14-\beta )q^{3}-15q^{4}+(-47+\cdots)q^{6}+\cdots\)
141.6.c.b \(8\) \(22.614\) 8.0.\(\cdots\).1 \(\Q(\sqrt{-47}) \) \(0\) \(-28\) \(0\) \(512\) \(q+(-2+\beta _{3}+3\beta _{4}+2\beta _{5}-\beta _{7})q^{2}+\cdots\)
141.6.c.c \(68\) \(22.614\) None \(0\) \(-4\) \(0\) \(-4\)
141.7.b.a \(92\) \(32.438\) None \(0\) \(20\) \(0\) \(568\)
141.7.d.a \(48\) \(32.438\) None \(0\) \(0\) \(0\) \(-288\)
141.8.a.a \(12\) \(44.046\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(-324\) \(-389\) \(-1111\) \(-\) \(q+\beta _{1}q^{2}-3^{3}q^{3}+(56+\beta _{2})q^{4}+(-2^{5}+\cdots)q^{5}+\cdots\)
141.8.a.b \(13\) \(44.046\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-23\) \(351\) \(-749\) \(-1175\) \(-\) \(q+(-2+\beta _{1})q^{2}+3^{3}q^{3}+(67-2\beta _{1}+\cdots)q^{4}+\cdots\)
141.8.a.c \(14\) \(44.046\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-15\) \(-378\) \(-139\) \(1633\) \(+\) \(q+(-1-\beta _{1})q^{2}-3^{3}q^{3}+(75+\beta _{1}+\cdots)q^{4}+\cdots\)
141.8.a.d \(15\) \(44.046\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(25\) \(405\) \(501\) \(1569\) \(+\) \(q+(2-\beta _{1})q^{2}+3^{3}q^{3}+(84-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.9.d.a \(64\) \(57.440\) None \(0\) \(0\) \(0\) \(4380\)
141.10.a.a \(16\) \(72.620\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-47\) \(1296\) \(-1254\) \(-16826\) \(+\) \(q+(-3+\beta _{1})q^{2}+3^{4}q^{3}+(219-4\beta _{1}+\cdots)q^{4}+\cdots\)
141.10.a.b \(16\) \(72.620\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(33\) \(-1296\) \(-220\) \(-3218\) \(+\) \(q+(2+\beta _{1})q^{2}-3^{4}q^{3}+(203+3\beta _{1}+\cdots)q^{4}+\cdots\)
141.10.a.c \(18\) \(72.620\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(1\) \(-1458\) \(1030\) \(15990\) \(-\) \(q+\beta _{1}q^{2}-3^{4}q^{3}+(266+\beta _{2})q^{4}+(57+\cdots)q^{5}+\cdots\)
141.10.a.d \(18\) \(72.620\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(49\) \(1458\) \(4996\) \(2382\) \(-\) \(q+(3-\beta _{1})q^{2}+3^{4}q^{3}+(281-4\beta _{1}+\cdots)q^{4}+\cdots\)
141.11.d.a \(80\) \(89.585\) None \(0\) \(0\) \(0\) \(-7788\)
141.12.a.a \(20\) \(108.336\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-23\) \(-4860\) \(7901\) \(-58651\) \(-\) \(q+(-1-\beta _{1})q^{2}-3^{5}q^{3}+(845+\beta _{2}+\cdots)q^{4}+\cdots\)
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