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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2.10.a.a \(1\) \(1.030\) \(\Q\) None \(16\) \(-156\) \(870\) \(-952\) \(-\) \(q+2^{4}q^{2}-156q^{3}+2^{8}q^{4}+870q^{5}+\cdots\)
3.10.a.a \(1\) \(1.545\) \(\Q\) None \(-36\) \(-81\) \(-1314\) \(-4480\) \(+\) \(q-6^{2}q^{2}-3^{4}q^{3}+28^{2}q^{4}-1314q^{5}+\cdots\)
3.10.a.b \(1\) \(1.545\) \(\Q\) None \(18\) \(81\) \(-1530\) \(9128\) \(-\) \(q+18q^{2}+3^{4}q^{3}-188q^{4}-1530q^{5}+\cdots\)
4.10.a.a \(1\) \(2.060\) \(\Q\) None \(0\) \(228\) \(-666\) \(-6328\) \(-\) \(q+228q^{3}-666q^{5}-6328q^{7}+32301q^{9}+\cdots\)
5.10.a.a \(1\) \(2.575\) \(\Q\) None \(-8\) \(-114\) \(-625\) \(4242\) \(+\) \(q-8q^{2}-114q^{3}-448q^{4}-5^{4}q^{5}+\cdots\)
5.10.a.b \(2\) \(2.575\) \(\Q(\sqrt{1009}) \) None \(-10\) \(260\) \(1250\) \(1700\) \(-\) \(q+(-5-\beta )q^{2}+(130+2\beta )q^{3}+(522+\cdots)q^{4}+\cdots\)
5.10.b.a \(4\) \(2.575\) \(\mathbb{Q}[x]/(x^{4} + \cdots)\) None \(0\) \(0\) \(1140\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-342+\cdots)q^{4}+\cdots\)
6.10.a.a \(1\) \(3.090\) \(\Q\) None \(-16\) \(81\) \(2694\) \(-3544\) \(-\) \(q-2^{4}q^{2}+3^{4}q^{3}+2^{8}q^{4}+2694q^{5}+\cdots\)
7.10.a.a \(2\) \(3.605\) \(\Q(\sqrt{193}) \) None \(-6\) \(-86\) \(-2238\) \(-4802\) \(+\) \(q+(-3-\beta )q^{2}+(-43+11\beta )q^{3}+(-310+\cdots)q^{4}+\cdots\)
7.10.a.b \(3\) \(3.605\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(21\) \(84\) \(1554\) \(7203\) \(-\) \(q+(7-\beta _{1})q^{2}+(28-\beta _{1}-\beta _{2})q^{3}+(519+\cdots)q^{4}+\cdots\)
7.10.c.a \(10\) \(3.605\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-18\) \(161\) \(1533\) \(-1036\) \(q+(-4\beta _{1}-\beta _{2}+\beta _{3})q^{2}+(33-33\beta _{1}+\cdots)q^{3}+\cdots\)
8.10.a.a \(1\) \(4.120\) \(\Q\) None \(0\) \(-60\) \(-2074\) \(-4344\) \(+\) \(q-60q^{3}-2074q^{5}-4344q^{7}-16083q^{9}+\cdots\)
8.10.a.b \(1\) \(4.120\) \(\Q\) None \(0\) \(68\) \(1510\) \(10248\) \(-\) \(q+68q^{3}+1510q^{5}+10248q^{7}-15059q^{9}+\cdots\)
8.10.b.a \(8\) \(4.120\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-18\) \(0\) \(0\) \(4800\) \(q+(-2-\beta _{1})q^{2}+(\beta _{1}+\beta _{2})q^{3}+(-54+\cdots)q^{4}+\cdots\)
9.10.a.a \(1\) \(4.635\) \(\Q\) None \(-18\) \(0\) \(1530\) \(9128\) \(-\) \(q-18q^{2}-188q^{4}+1530q^{5}+9128q^{7}+\cdots\)
9.10.a.b \(1\) \(4.635\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-12580\) \(+\) \(q-2^{9}q^{4}-12580q^{7}+118370q^{13}+\cdots\)
9.10.a.c \(1\) \(4.635\) \(\Q\) None \(36\) \(0\) \(1314\) \(-4480\) \(-\) \(q+6^{2}q^{2}+28^{2}q^{4}+1314q^{5}-4480q^{7}+\cdots\)
9.10.c.a \(16\) \(4.635\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(15\) \(-3\) \(453\) \(-343\) \(q+(2-2\beta _{1}+\beta _{2})q^{2}+(9-18\beta _{1}+\beta _{5}+\cdots)q^{3}+\cdots\)
10.10.a.a \(1\) \(5.150\) \(\Q\) None \(-16\) \(-204\) \(625\) \(5432\) \(-\) \(q-2^{4}q^{2}-204q^{3}+2^{8}q^{4}+5^{4}q^{5}+\cdots\)
10.10.a.b \(1\) \(5.150\) \(\Q\) None \(-16\) \(46\) \(-625\) \(-10318\) \(+\) \(q-2^{4}q^{2}+46q^{3}+2^{8}q^{4}-5^{4}q^{5}+\cdots\)
10.10.a.c \(1\) \(5.150\) \(\Q\) None \(16\) \(174\) \(-625\) \(4658\) \(-\) \(q+2^{4}q^{2}+174q^{3}+2^{8}q^{4}-5^{4}q^{5}+\cdots\)
10.10.b.a \(4\) \(5.150\) \(\Q(i, \sqrt{319})\) None \(0\) \(0\) \(-2580\) \(0\) \(q-\beta _{1}q^{2}+(-5\beta _{1}-\beta _{2})q^{3}-2^{8}q^{4}+\cdots\)
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 \(16\) \(112\) \(1594\) \(8400\) \(-\) \(q+(3+\beta _{1})q^{2}+(22+3\beta _{1}+\beta _{2})q^{3}+\cdots\)
11.10.c.a \(32\) \(5.665\) None \(-21\) \(69\) \(225\) \(-10675\)
12.10.a.a \(1\) \(6.180\) \(\Q\) None \(0\) \(-81\) \(990\) \(8576\) \(-\) \(q-3^{4}q^{3}+990q^{5}+8576q^{7}+3^{8}q^{9}+\cdots\)
12.10.b.a \(16\) \(6.180\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+(-21-\beta _{3})q^{4}+\cdots\)
13.10.a.a \(4\) \(6.695\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-33\) \(-163\) \(471\) \(-11241\) \(+\) \(q+(-8-\beta _{1})q^{2}+(-41+2\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
13.10.a.b \(5\) \(6.695\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(15\) \(161\) \(1803\) \(10099\) \(-\) \(q+(3+\beta _{1})q^{2}+(2^{5}+2\beta _{1}-\beta _{2})q^{3}+\cdots\)
13.10.b.a \(10\) \(6.695\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{3}+(-2^{8}+\beta _{3})q^{4}+\cdots\)
13.10.c.a \(18\) \(6.695\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(15\) \(161\) \(-2280\) \(-1939\) \(q+(-2\beta _{1}-\beta _{3})q^{2}+(-18\beta _{1}-\beta _{4}+\cdots)q^{3}+\cdots\)
13.10.e.a \(20\) \(6.695\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(-3\) \(-163\) \(0\) \(1023\) \(q+(\beta _{2}-\beta _{3})q^{2}+(2^{4}\beta _{1}-\beta _{4})q^{3}+(2^{8}+\cdots)q^{4}+\cdots\)
14.10.a.a \(1\) \(7.211\) \(\Q\) None \(-16\) \(-6\) \(560\) \(-2401\) \(+\) \(q-2^{4}q^{2}-6q^{3}+2^{8}q^{4}+560q^{5}+\cdots\)
14.10.a.b \(1\) \(7.211\) \(\Q\) None \(16\) \(170\) \(544\) \(-2401\) \(-\) \(q+2^{4}q^{2}+170q^{3}+2^{8}q^{4}+544q^{5}+\cdots\)
14.10.a.c \(2\) \(7.211\) \(\Q(\sqrt{2305}) \) None \(-32\) \(-14\) \(-2730\) \(4802\) \(-\) \(q-2^{4}q^{2}+(-7-5\beta )q^{3}+2^{8}q^{4}+(-1365+\cdots)q^{5}+\cdots\)
14.10.c.a \(6\) \(7.211\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-48\) \(-233\) \(-733\) \(5012\) \(q+(-2^{4}-2^{4}\beta _{1})q^{2}+(78\beta _{1}-\beta _{3})q^{3}+\cdots\)
14.10.c.b \(6\) \(7.211\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(48\) \(71\) \(-1085\) \(-6796\) \(q+(2^{4}+2^{4}\beta _{1})q^{2}+(-24\beta _{1}-\beta _{2})q^{3}+\cdots\)
15.10.a.a \(1\) \(7.726\) \(\Q\) None \(-4\) \(81\) \(625\) \(-7680\) \(+\) \(q-4q^{2}+3^{4}q^{3}-496q^{4}+5^{4}q^{5}+\cdots\)
15.10.a.b \(1\) \(7.726\) \(\Q\) None \(22\) \(-81\) \(-625\) \(-5988\) \(+\) \(q+22q^{2}-3^{4}q^{3}-28q^{4}-5^{4}q^{5}+\cdots\)
15.10.a.c \(2\) \(7.726\) \(\Q(\sqrt{4729}) \) None \(19\) \(162\) \(-1250\) \(-11872\) \(-\) \(q+(10-\beta )q^{2}+3^{4}q^{3}+(770-19\beta )q^{4}+\cdots\)
15.10.a.d \(2\) \(7.726\) \(\Q(\sqrt{241}) \) None \(31\) \(-162\) \(1250\) \(14112\) \(-\) \(q+(15-\beta )q^{2}-3^{4}q^{3}+(255-31\beta )q^{4}+\cdots\)
15.10.b.a \(8\) \(7.726\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(-690\) \(0\) \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(-149-\beta _{4})q^{4}+\cdots\)
15.10.e.a \(32\) \(7.726\) None \(0\) \(-150\) \(0\) \(-9760\)
16.10.a.a \(1\) \(8.241\) \(\Q\) None \(0\) \(-228\) \(-666\) \(6328\) \(-\) \(q-228q^{3}-666q^{5}+6328q^{7}+32301q^{9}+\cdots\)
16.10.a.b \(1\) \(8.241\) \(\Q\) None \(0\) \(-68\) \(1510\) \(-10248\) \(+\) \(q-68q^{3}+1510q^{5}-10248q^{7}-15059q^{9}+\cdots\)
16.10.a.c \(1\) \(8.241\) \(\Q\) None \(0\) \(60\) \(-2074\) \(4344\) \(+\) \(q+60q^{3}-2074q^{5}+4344q^{7}-16083q^{9}+\cdots\)
16.10.a.d \(1\) \(8.241\) \(\Q\) None \(0\) \(156\) \(870\) \(952\) \(-\) \(q+156q^{3}+870q^{5}+952q^{7}+4653q^{9}+\cdots\)
16.10.e.a \(34\) \(8.241\) None \(-2\) \(-2\) \(-2\) \(0\)
17.10.a.a \(5\) \(8.756\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-33\) \(-236\) \(1480\) \(-13202\) \(+\) \(q+(-7+\beta _{1})q^{2}+(-48+2\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
17.10.a.b \(7\) \(8.756\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\) \(88\) \(1362\) \(9388\) \(-\) \(q-\beta _{1}q^{2}+(12+2\beta _{1}-\beta _{2})q^{3}+(341+\cdots)q^{4}+\cdots\)
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