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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2.8.a.a \(1\) \(0.625\) \(\Q\) None \(-8\) \(12\) \(-210\) \(1016\) \(+\) \(q-8q^{2}+12q^{3}+2^{6}q^{4}-210q^{5}+\cdots\)
3.8.a.a \(1\) \(0.937\) \(\Q\) None \(6\) \(-27\) \(390\) \(-64\) \(+\) \(q+6q^{2}-3^{3}q^{3}-92q^{4}+390q^{5}+\cdots\)
5.8.a.a \(1\) \(1.562\) \(\Q\) None \(-14\) \(-48\) \(125\) \(-1644\) \(-\) \(q-14q^{2}-48q^{3}+68q^{4}+5^{3}q^{5}+\cdots\)
5.8.a.b \(2\) \(1.562\) \(\Q(\sqrt{19}) \) None \(20\) \(20\) \(-250\) \(-100\) \(+\) \(q+(10+\beta )q^{2}+(10-8\beta )q^{3}+(48+20\beta )q^{4}+\cdots\)
5.8.b.a \(2\) \(1.562\) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(150\) \(0\) \(q+\beta q^{2}+3\beta q^{3}+12q^{4}+(75-5^{2}\beta )q^{5}+\cdots\)
6.8.a.a \(1\) \(1.874\) \(\Q\) None \(8\) \(27\) \(-114\) \(-1576\) \(+\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-114q^{5}+\cdots\)
7.8.a.a \(1\) \(2.187\) \(\Q\) None \(-6\) \(-42\) \(-84\) \(343\) \(-\) \(q-6q^{2}-42q^{3}-92q^{4}-84q^{5}+252q^{6}+\cdots\)
7.8.a.b \(2\) \(2.187\) \(\Q(\sqrt{865}) \) None \(-3\) \(94\) \(330\) \(-686\) \(+\) \(q+(-1-\beta )q^{2}+(46+2\beta )q^{3}+(89+3\beta )q^{4}+\cdots\)
7.8.c.a \(8\) \(2.187\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(6\) \(-28\) \(-252\) \(672\) \(q+(-1+2\beta _{2}+\beta _{3}-\beta _{4})q^{2}+(-6+\cdots)q^{3}+\cdots\)
8.8.a.a \(1\) \(2.499\) \(\Q\) None \(0\) \(-84\) \(-82\) \(-456\) \(-\) \(q-84q^{3}-82q^{5}-456q^{7}+4869q^{9}+\cdots\)
8.8.a.b \(1\) \(2.499\) \(\Q\) None \(0\) \(44\) \(430\) \(-1224\) \(+\) \(q+44q^{3}+430q^{5}-1224q^{7}-251q^{9}+\cdots\)
8.8.b.a \(6\) \(2.499\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(6\) \(0\) \(0\) \(-688\) \(q+(1+\beta _{1})q^{2}+\beta _{4}q^{3}+(19+\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
9.8.a.a \(1\) \(2.811\) \(\Q\) None \(-6\) \(0\) \(-390\) \(-64\) \(-\) \(q-6q^{2}-92q^{4}-390q^{5}-2^{6}q^{7}+\cdots\)
9.8.a.b \(2\) \(2.811\) \(\Q(\sqrt{10}) \) None \(0\) \(0\) \(0\) \(520\) \(+\) \(q+\beta q^{2}+232q^{4}-2^{4}\beta q^{5}+260q^{7}+\cdots\)
9.8.c.a \(12\) \(2.811\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-9\) \(24\) \(-180\) \(-84\) \(q+(-\beta _{2}-\beta _{3})q^{2}+(1-\beta _{1}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots\)
10.8.a.a \(1\) \(3.124\) \(\Q\) None \(8\) \(28\) \(125\) \(104\) \(+\) \(q+8q^{2}+28q^{3}+2^{6}q^{4}+5^{3}q^{5}+224q^{6}+\cdots\)
10.8.b.a \(4\) \(3.124\) \(\Q(i, \sqrt{31})\) None \(0\) \(0\) \(60\) \(0\) \(q-\beta _{1}q^{2}+(3\beta _{1}-\beta _{3})q^{3}-2^{6}q^{4}+(15+\cdots)q^{5}+\cdots\)
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 \(3\) \(36\) \(-72\) \(68\)
12.8.a.a \(1\) \(3.749\) \(\Q\) None \(0\) \(-27\) \(-378\) \(-832\) \(-\) \(q-3^{3}q^{3}-378q^{5}-832q^{7}+3^{6}q^{9}+\cdots\)
12.8.a.b \(1\) \(3.749\) \(\Q\) None \(0\) \(27\) \(270\) \(1112\) \(+\) \(q+3^{3}q^{3}+270q^{5}+1112q^{7}+3^{6}q^{9}+\cdots\)
12.8.b.a \(4\) \(3.749\) \(\Q(\sqrt{3}, \sqrt{-5})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(-3\beta _{2}+3\beta _{3})q^{3}+(88+4\beta _{1}+\cdots)q^{4}+\cdots\)
12.8.b.b \(8\) \(3.749\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-41+\beta _{2}+\cdots)q^{4}+\cdots\)
13.8.a.a \(1\) \(4.061\) \(\Q\) None \(10\) \(-73\) \(-295\) \(1373\) \(-\) \(q+10q^{2}-73q^{3}-28q^{4}-295q^{5}+\cdots\)
13.8.a.b \(2\) \(4.061\) \(\Q(\sqrt{337}) \) None \(-19\) \(45\) \(-353\) \(-2009\) \(-\) \(q+(-9-\beta )q^{2}+(21+3\beta )q^{3}+(37+19\beta )q^{4}+\cdots\)
13.8.a.c \(4\) \(4.061\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(15\) \(80\) \(258\) \(1692\) \(+\) \(q+(4-\beta _{1})q^{2}+(21-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
13.8.b.a \(6\) \(4.061\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(-56\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-9-\beta _{2})q^{3}+(-22-\beta _{4}+\cdots)q^{4}+\cdots\)
13.8.c.a \(16\) \(4.061\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-9\) \(-28\) \(384\) \(196\) \(q+(-1-\beta _{1}-\beta _{2})q^{2}+(-4-4\beta _{2}+\cdots)q^{3}+\cdots\)
13.8.e.a \(14\) \(4.061\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(-3\) \(26\) \(0\) \(-2772\) \(q+\beta _{2}q^{2}+(4+4\beta _{3}-\beta _{4}-\beta _{6})q^{3}+\cdots\)
14.8.a.a \(1\) \(4.373\) \(\Q\) None \(-8\) \(-82\) \(448\) \(-343\) \(+\) \(q-8q^{2}-82q^{3}+2^{6}q^{4}+448q^{5}+\cdots\)
14.8.a.b \(1\) \(4.373\) \(\Q\) None \(8\) \(-66\) \(-400\) \(-343\) \(-\) \(q+8q^{2}-66q^{3}+2^{6}q^{4}-20^{2}q^{5}+\cdots\)
14.8.a.c \(2\) \(4.373\) \(\Q(\sqrt{1969}) \) None \(16\) \(70\) \(126\) \(686\) \(+\) \(q+8q^{2}+(35-\beta )q^{3}+2^{6}q^{4}+(63+9\beta )q^{5}+\cdots\)
14.8.c.a \(4\) \(4.373\) \(\Q(\sqrt{-3}, \sqrt{2389})\) None \(-16\) \(56\) \(238\) \(168\) \(q+(-8+8\beta _{1})q^{2}+(28\beta _{1}-\beta _{2})q^{3}+\cdots\)
14.8.c.b \(4\) \(4.373\) \(\Q(\sqrt{-3}, \sqrt{949})\) None \(16\) \(-56\) \(14\) \(-1848\) \(q+8\beta _{1}q^{2}+(-28+28\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\)
15.8.a.a \(1\) \(4.686\) \(\Q\) None \(-22\) \(27\) \(-125\) \(-420\) \(-\) \(q-22q^{2}+3^{3}q^{3}+356q^{4}-5^{3}q^{5}+\cdots\)
15.8.a.b \(1\) \(4.686\) \(\Q\) None \(-13\) \(-27\) \(-125\) \(1380\) \(+\) \(q-13q^{2}-3^{3}q^{3}+41q^{4}-5^{3}q^{5}+\cdots\)
15.8.a.c \(2\) \(4.686\) \(\Q(\sqrt{601}) \) None \(7\) \(54\) \(250\) \(1304\) \(+\) \(q+(4-\beta )q^{2}+3^{3}q^{3}+(38-7\beta )q^{4}+\cdots\)
15.8.b.a \(8\) \(4.686\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(-444\) \(0\) \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(-83-\beta _{4})q^{4}+\cdots\)
15.8.e.a \(24\) \(4.686\) None \(0\) \(24\) \(0\) \(1344\)
16.8.a.a \(1\) \(4.998\) \(\Q\) None \(0\) \(-44\) \(430\) \(1224\) \(+\) \(q-44q^{3}+430q^{5}+1224q^{7}-251q^{9}+\cdots\)
16.8.a.b \(1\) \(4.998\) \(\Q\) None \(0\) \(-12\) \(-210\) \(-1016\) \(-\) \(q-12q^{3}-210q^{5}-1016q^{7}-2043q^{9}+\cdots\)
16.8.a.c \(1\) \(4.998\) \(\Q\) None \(0\) \(84\) \(-82\) \(456\) \(+\) \(q+84q^{3}-82q^{5}+456q^{7}+4869q^{9}+\cdots\)
16.8.e.a \(26\) \(4.998\) None \(-2\) \(-2\) \(-2\) \(0\)
17.8.a.a \(1\) \(5.311\) \(\Q\) None \(-2\) \(18\) \(-10\) \(-902\) \(-\) \(q-2q^{2}+18q^{3}-124q^{4}-10q^{5}+\cdots\)
17.8.a.b \(3\) \(5.311\) 3.3.694349.1 None \(1\) \(-86\) \(-198\) \(-1558\) \(-\) \(q+\beta _{2}q^{2}+(-28-\beta _{1}-2\beta _{2})q^{3}+(78+\cdots)q^{4}+\cdots\)
17.8.a.c \(6\) \(5.311\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(15\) \(40\) \(-184\) \(2064\) \(+\) \(q+(2+\beta _{1})q^{2}+(6+\beta _{1}+\beta _{4})q^{3}+(78+\cdots)q^{4}+\cdots\)
17.8.b.a \(10\) \(5.311\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-18\) \(0\) \(0\) \(0\) \(q+(-2+\beta _{2})q^{2}+\beta _{1}q^{3}+(69-2\beta _{2}+\cdots)q^{4}+\cdots\)
17.8.c.a \(20\) \(5.311\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(24\) \(384\) \(392\) \(q+\beta _{1}q^{2}+(1-\beta _{6}+\beta _{8})q^{3}+(-2^{6}+\cdots)q^{4}+\cdots\)
17.8.d.a \(36\) \(5.311\) None \(-4\) \(-4\) \(0\) \(-4\)
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