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Results (45 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
103.1.b.a \(2\) \(0.051\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-103}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
103.2.a.a \(2\) \(0.822\) \(\Q(\sqrt{5}) \) None None \(-3\) \(-2\) \(-3\) \(-2\) \(+\) \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
103.2.a.b \(6\) \(0.822\) 6.6.6999257.1 None None \(4\) \(0\) \(3\) \(-2\) \(-\) \(q+(1-\beta _{1})q^{2}+(-\beta _{2}-\beta _{3}+\beta _{5})q^{3}+\cdots\)
103.2.c.a \(16\) \(0.822\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(-4\) \(3\) \(-5\) \(q-\beta _{1}q^{2}+\beta _{12}q^{3}+(-1+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
103.2.e.a \(112\) \(0.822\) None None \(-15\) \(-11\) \(-11\) \(-5\)
103.2.g.a \(256\) \(0.822\) None None \(-33\) \(-30\) \(-37\) \(-29\)
103.3.b.a \(5\) \(2.807\) 5.5.33153125.1 \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(4+\beta _{1}+\beta _{4})q^{4}+(-4\beta _{1}+\cdots)q^{7}+\cdots\)
103.3.b.b \(12\) \(2.807\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(-2\) \(0\) \(0\) \(0\) \(q-\beta _{9}q^{2}-\beta _{1}q^{3}+(1+\beta _{8})q^{4}+\beta _{2}q^{5}+\cdots\)
103.3.d.a \(32\) \(2.807\) None None \(-1\) \(0\) \(-3\) \(5\)
103.3.f.a \(272\) \(2.807\) None None \(-15\) \(-17\) \(-17\) \(-17\)
103.3.h.a \(512\) \(2.807\) None None \(-33\) \(-34\) \(-31\) \(-39\)
103.4.a.a \(10\) \(6.077\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-11\) \(-8\) \(-30\) \(-33\) \(-\) \(q+(-1-\beta _{1})q^{2}+(-1-\beta _{6})q^{3}+(3+\cdots)q^{4}+\cdots\)
103.4.a.b \(15\) \(6.077\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(9\) \(10\) \(30\) \(23\) \(+\) \(q+(1-\beta _{1})q^{2}+(1+\beta _{9})q^{3}+(5-\beta _{1}+\cdots)q^{4}+\cdots\)
103.4.c.a \(50\) \(6.077\) None None \(-1\) \(4\) \(-3\) \(13\)
103.4.e.a \(400\) \(6.077\) None None \(-15\) \(-19\) \(-17\) \(-7\)
103.4.g.a \(800\) \(6.077\) None None \(-33\) \(-38\) \(-31\) \(-47\)
103.5.b.a \(5\) \(10.647\) 5.5.33153125.1 \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}+(2^{4}+6\beta _{2}-\beta _{3})q^{4}+(11\beta _{2}+\cdots)q^{7}+\cdots\)
103.5.b.b \(28\) \(10.647\) None None \(-2\) \(0\) \(0\) \(28\)
103.5.d.a \(68\) \(10.647\) None None \(-1\) \(0\) \(-3\) \(69\)
103.5.f.a \(528\) \(10.647\) None None \(-15\) \(-17\) \(-17\) \(-45\)
103.5.h.a \(1088\) \(10.647\) None None \(-33\) \(-34\) \(-31\) \(-103\)
103.6.a.a \(19\) \(16.520\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(-21\) \(-38\) \(-147\) \(-206\) \(+\) \(q+(-1-\beta _{1})q^{2}+(-2-\beta _{7})q^{3}+(14+\cdots)q^{4}+\cdots\)
103.6.a.b \(24\) \(16.520\) None None \(19\) \(16\) \(153\) \(186\) \(-\)
103.6.c.a \(84\) \(16.520\) None None \(-1\) \(-20\) \(-9\) \(139\)
103.6.e.a \(688\) \(16.520\) None None \(-15\) \(5\) \(-23\) \(3\)
103.6.g.a \(1344\) \(16.520\) None None \(-33\) \(-14\) \(-25\) \(-173\)
103.7.b.a \(5\) \(23.696\) 5.5.33153125.1 \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{2}+\beta _{3})q^{2}+(2^{6}-19\beta _{1}-4\beta _{4})q^{4}+\cdots\)
103.7.b.b \(46\) \(23.696\) None None \(-2\) \(0\) \(0\) \(-810\)
103.8.a.a \(27\) \(32.176\) None None \(-41\) \(-68\) \(-555\) \(-1518\) \(-\)
103.8.a.b \(32\) \(32.176\) None None \(39\) \(94\) \(945\) \(1226\) \(+\)
103.9.b.a \(5\) \(41.960\) 5.5.33153125.1 \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(6\beta _{2}-\beta _{3})q^{2}+(2^{8}-65\beta _{1}+14\beta _{4})q^{4}+\cdots\)
103.9.b.b \(64\) \(41.960\) None None \(-2\) \(0\) \(0\) \(-5152\)
103.10.a.a \(36\) \(53.049\) None None \(-81\) \(-170\) \(-5172\) \(-5297\) \(+\)
103.10.a.b \(41\) \(53.049\) None None \(79\) \(316\) \(2328\) \(13911\) \(-\)
103.11.b.a \(1\) \(65.442\) \(\Q\) \(\Q(\sqrt{-103}) \) None \(-39\) \(0\) \(0\) \(242\) \(q-39q^{2}+497q^{4}+242q^{7}+20553q^{8}+\cdots\)
103.11.b.b \(4\) \(65.442\) 4.4.1326125.1 \(\Q(\sqrt{-103}) \) None \(39\) \(0\) \(0\) \(-242\) \(q+(17+17\beta _{2}-5\beta _{3})q^{2}+(2^{10}+195\beta _{1}+\cdots)q^{4}+\cdots\)
103.11.b.c \(80\) \(65.442\) None None \(-2\) \(0\) \(0\) \(56700\)
103.12.a.a \(44\) \(79.139\) None None \(-137\) \(-992\) \(-21435\) \(-103218\) \(-\)
103.12.a.b \(49\) \(79.139\) None None \(183\) \(466\) \(16065\) \(31238\) \(+\)
103.14.a.a \(53\) \(110.448\) None None \(-321\) \(-2318\) \(-88497\) \(-350426\) \(+\)
103.14.a.b \(58\) \(110.448\) None None \(319\) \(2056\) \(99003\) \(590766\) \(-\)
103.16.a.a \(61\) \(146.974\) None None \(-857\) \(-3932\) \(-439140\) \(-3190353\) \(-\)
103.16.a.b \(66\) \(146.974\) None None \(423\) \(9190\) \(498360\) \(3397991\) \(+\)
103.18.a.a \(70\) \(188.719\) None None \(-753\) \(-23762\) \(-2234097\) \(-22054742\) \(+\)
103.18.a.b \(75\) \(188.719\) None None \(1807\) \(15604\) \(2453403\) \(24063666\) \(-\)
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