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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
11.2.a.a \(1\) \(0.088\) \(\Q\) None \(-2\) \(-1\) \(1\) \(-2\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots\)
11.3.b.a \(1\) \(0.300\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-5\) \(-1\) \(0\) \(q-5q^{3}+4q^{4}-q^{5}+2^{4}q^{9}-11q^{11}+\cdots\)
11.3.d.a \(4\) \(0.300\) \(\Q(\zeta_{10})\) None \(-5\) \(0\) \(-4\) \(10\) \(q+(-2\zeta_{10}+2\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2+\cdots)q^{3}+\cdots\)
11.4.a.a \(2\) \(0.649\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(20\) \(+\) \(q+(1+\beta )q^{2}+(-1-4\beta )q^{3}+(-4+2\beta )q^{4}+\cdots\)
11.4.c.a \(8\) \(0.649\) 8.0.\(\cdots\).1 None \(-7\) \(-3\) \(-7\) \(-35\) \(q+(-1+\beta _{1}+\beta _{2}-\beta _{4})q^{2}+(-2-2\beta _{2}+\cdots)q^{3}+\cdots\)
11.5.b.a \(1\) \(1.137\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(7\) \(-49\) \(0\) \(q+7q^{3}+2^{4}q^{4}-7^{2}q^{5}-2^{5}q^{9}+11^{2}q^{11}+\cdots\)
11.5.b.b \(2\) \(1.137\) \(\Q(\sqrt{-30}) \) None \(0\) \(-6\) \(62\) \(0\) \(q+\beta q^{2}-3q^{3}-14q^{4}+31q^{5}-3\beta q^{6}+\cdots\)
11.5.d.a \(12\) \(1.137\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(-5\) \(-6\) \(-18\) \(-80\) \(q+(-1-\beta _{2}-2\beta _{3}-\beta _{4}+\beta _{7})q^{2}+\cdots\)
11.6.a.a \(1\) \(1.764\) \(\Q\) None \(-4\) \(-15\) \(-19\) \(10\) \(+\) \(q-4q^{2}-15q^{3}-2^{4}q^{4}-19q^{5}+60q^{6}+\cdots\)
11.6.a.b \(3\) \(1.764\) 3.3.54492.1 None \(0\) \(34\) \(24\) \(84\) \(-\) \(q+\beta _{2}q^{2}+(11+\beta _{1}-\beta _{2})q^{3}+(30-6\beta _{1}+\cdots)q^{4}+\cdots\)
11.6.c.a \(16\) \(1.764\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-1\) \(-24\) \(-10\) \(196\) \(q+(1-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{7})q^{2}+\cdots\)
11.7.b.a \(1\) \(2.531\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(10\) \(74\) \(0\) \(q+10q^{3}+2^{6}q^{4}+74q^{5}-629q^{9}+\cdots\)
11.7.b.b \(4\) \(2.531\) \(\mathbb{Q}[x]/(x^{4} + \cdots)\) None \(0\) \(24\) \(-260\) \(0\) \(q+\beta _{1}q^{2}+(6-\beta _{2})q^{3}+(-71+\beta _{2}+\cdots)q^{4}+\cdots\)
11.7.d.a \(20\) \(2.531\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(-5\) \(-39\) \(181\) \(-365\) \(q+(-\beta _{4}+\beta _{6}-\beta _{9})q^{2}+(3\beta _{4}+2\beta _{5}+\cdots)q^{3}+\cdots\)
11.8.a.a \(2\) \(3.436\) \(\Q(\sqrt{15}) \) None \(-8\) \(-6\) \(-470\) \(-1228\) \(-\) \(q+(-4+\beta )q^{2}+(-3-6\beta )q^{3}+(-52+\cdots)q^{4}+\cdots\)
11.8.a.b \(4\) \(3.436\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(-35\) \(537\) \(170\) \(+\) \(q-\beta _{2}q^{2}+(-9-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\)
11.8.c.a \(24\) \(3.436\) None \(3\) \(36\) \(-72\) \(68\)
11.9.b.a \(1\) \(4.481\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-113\) \(1151\) \(0\) \(q-113q^{3}+2^{8}q^{4}+1151q^{5}+6208q^{9}+\cdots\)
11.9.b.b \(6\) \(4.481\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(-36\) \(-448\) \(0\) \(q+\beta _{1}q^{2}+(-6-\beta _{4})q^{3}+(-203+3\beta _{3}+\cdots)q^{4}+\cdots\)
11.9.d.a \(28\) \(4.481\) None \(-5\) \(144\) \(-708\) \(5470\)
11.10.a.a \(3\) \(5.665\) 3.3.2659452.1 None \(0\) \(-186\) \(-1824\) \(-7260\) \(+\) \(q-\beta _{1}q^{2}+(-62+4\beta _{1}-\beta _{2})q^{3}+(304+\cdots)q^{4}+\cdots\)
11.10.a.b \(5\) \(5.665\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(16\) \(112\) \(1594\) \(8400\) \(-\) \(q+(3+\beta _{1})q^{2}+(22+3\beta _{1}+\beta _{4})q^{3}+\cdots\)
11.10.c.a \(32\) \(5.665\) None \(-21\) \(69\) \(225\) \(-10675\)
11.11.b.a \(1\) \(6.989\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(475\) \(-3001\) \(0\) \(q+475q^{3}+2^{10}q^{4}-3001q^{5}+166576q^{9}+\cdots\)
11.11.b.b \(8\) \(6.989\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(-402\) \(2430\) \(0\) \(q+\beta _{1}q^{2}+(-50+\beta _{2})q^{3}+(-22^{2}+\cdots)q^{4}+\cdots\)
11.11.d.a \(36\) \(6.989\) None \(-5\) \(-78\) \(566\) \(-9740\)
11.12.a.a \(3\) \(8.452\) 3.3.202533.1 None \(0\) \(-393\) \(-7305\) \(-5082\) \(-\) \(q-\beta _{1}q^{2}+(-131-2\beta _{1}-4\beta _{2})q^{3}+\cdots\)
11.12.a.b \(5\) \(8.452\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(32\) \(160\) \(-8398\) \(79040\) \(+\) \(q+(6+\beta _{1})q^{2}+(2^{5}-\beta _{3})q^{3}+(1239+\cdots)q^{4}+\cdots\)
11.12.c.a \(40\) \(8.452\) None \(11\) \(-276\) \(6038\) \(55440\)
11.13.b.a \(1\) \(10.054\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-1358\) \(-25774\) \(0\) \(q-1358q^{3}+2^{12}q^{4}-25774q^{5}+\cdots\)
11.13.b.b \(10\) \(10.054\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(2436\) \(26492\) \(0\) \(q+\beta _{1}q^{2}+(244+\beta _{3})q^{3}+(-2035+\cdots)q^{4}+\cdots\)
11.13.d.a \(44\) \(10.054\) None \(-5\) \(-1083\) \(-723\) \(-219605\)
11.14.a.a \(5\) \(11.795\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-64\) \(480\) \(-454\) \(-313920\) \(+\) \(q+(-13-\beta _{1})q^{2}+(96-2\beta _{1}-\beta _{3}+\cdots)q^{3}+\cdots\)
11.14.a.b \(7\) \(11.795\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(379\) \(52689\) \(-89386\) \(-\) \(q-\beta _{1}q^{2}+(54+3\beta _{1}-\beta _{2})q^{3}+(6727+\cdots)q^{4}+\cdots\)
11.14.c.a \(48\) \(11.795\) None \(59\) \(-864\) \(-52240\) \(390696\)
11.15.b.a \(1\) \(13.676\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(2515\) \(100799\) \(0\) \(q+2515q^{3}+2^{14}q^{4}+100799q^{5}+\cdots\)
11.15.b.b \(12\) \(13.676\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(-5832\) \(-135680\) \(0\) \(q+\beta _{1}q^{2}+(-486+\beta _{3})q^{3}+(-10877+\cdots)q^{4}+\cdots\)
11.15.d.a \(52\) \(13.676\) None \(-5\) \(3312\) \(34876\) \(1575010\)
11.16.a.a \(5\) \(15.696\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-128\) \(-5424\) \(-458990\) \(-2203600\) \(-\) \(q+(-26+\beta _{1})q^{2}+(-1085+\beta _{2})q^{3}+\cdots\)
11.16.a.b \(7\) \(15.696\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(6142\) \(202692\) \(-475420\) \(+\) \(q-\beta _{1}q^{2}+(877-5\beta _{1}+\beta _{2})q^{3}+(18366+\cdots)q^{4}+\cdots\)
11.16.c.a \(56\) \(15.696\) None \(-309\) \(5973\) \(152073\) \(-7602707\)
11.17.b.a \(1\) \(17.856\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-353\) \(543551\) \(0\) \(q-353q^{3}+2^{16}q^{4}+543551q^{5}+\cdots\)
11.17.b.b \(14\) \(17.856\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(0\) \(498\) \(-535618\) \(0\) \(q+\beta _{1}q^{2}+(6^{2}+\beta _{2})q^{3}+(-43414+\cdots)q^{4}+\cdots\)
11.17.d.a \(60\) \(17.856\) None \(-5\) \(-150\) \(-7938\) \(2885320\)
11.18.a.a \(6\) \(20.154\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(11865\) \(347991\) \(-31314630\) \(+\) \(q-\beta _{1}q^{2}+(1977+14\beta _{1}-\beta _{2})q^{3}+\cdots\)
11.18.a.b \(8\) \(20.154\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(256\) \(3058\) \(1795234\) \(-896364\) \(-\) \(q+(2^{5}-\beta _{1})q^{2}+(382-9\beta _{1}+\beta _{2})q^{3}+\cdots\)
11.18.c.a \(64\) \(20.154\) None \(795\) \(-6360\) \(-91530\) \(49560700\)
11.19.b.a \(1\) \(22.592\) \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-20870\) \(-3063526\) \(0\) \(q-20870q^{3}+2^{18}q^{4}-3063526q^{5}+\cdots\)
11.19.b.b \(16\) \(22.592\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(38544\) \(5217660\) \(0\) \(q+\beta _{1}q^{2}+(2409-\beta _{2})q^{3}+(-136842+\cdots)q^{4}+\cdots\)
11.19.d.a \(68\) \(22.592\) None \(-5\) \(-17679\) \(-2154139\) \(-91602365\)
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