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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3.6.a.a \(1\) \(0.481\) \(\Q\) None \(-6\) \(9\) \(6\) \(-40\) \(-\) \(q-6q^{2}+9q^{3}+4q^{4}+6q^{5}-54q^{6}+\cdots\)
4.6.a.a \(1\) \(0.642\) \(\Q\) None \(0\) \(-12\) \(54\) \(-88\) \(-\) \(q-12q^{3}+54q^{5}-88q^{7}-99q^{9}+\cdots\)
5.6.a.a \(1\) \(0.802\) \(\Q\) None \(2\) \(-4\) \(25\) \(192\) \(-\) \(q+2q^{2}-4q^{3}-28q^{4}+5^{2}q^{5}-8q^{6}+\cdots\)
5.6.b.a \(2\) \(0.802\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-90\) \(0\) \(q-\beta q^{2}+3\beta q^{3}-12q^{4}+(-45-5\beta )q^{5}+\cdots\)
6.6.a.a \(1\) \(0.962\) \(\Q\) None \(4\) \(-9\) \(-66\) \(176\) \(-\) \(q+4q^{2}-9q^{3}+2^{4}q^{4}-66q^{5}-6^{2}q^{6}+\cdots\)
7.6.a.a \(1\) \(1.123\) \(\Q\) None \(-10\) \(-14\) \(-56\) \(-49\) \(+\) \(q-10q^{2}-14q^{3}+68q^{4}-56q^{5}+\cdots\)
7.6.a.b \(2\) \(1.123\) \(\Q(\sqrt{57}) \) None \(9\) \(-6\) \(-18\) \(98\) \(-\) \(q+(5-\beta )q^{2}+(-6+6\beta )q^{3}+(7-9\beta )q^{4}+\cdots\)
7.6.c.a \(4\) \(1.123\) \(\Q(\sqrt{-3}, \sqrt{37})\) None \(-2\) \(8\) \(38\) \(-168\) \(q+(-\beta _{1}-\beta _{2})q^{2}+(4-4\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\)
8.6.a.a \(1\) \(1.283\) \(\Q\) None \(0\) \(20\) \(-74\) \(-24\) \(-\) \(q+20q^{3}-74q^{5}-24q^{7}+157q^{9}+\cdots\)
8.6.b.a \(4\) \(1.283\) 4.0.218489.1 None \(-2\) \(0\) \(0\) \(96\) \(q+(-1-\beta _{1})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(5+\cdots)q^{4}+\cdots\)
9.6.a.a \(1\) \(1.443\) \(\Q\) None \(6\) \(0\) \(-6\) \(-40\) \(-\) \(q+6q^{2}+4q^{4}-6q^{5}-40q^{7}-168q^{8}+\cdots\)
9.6.c.a \(8\) \(1.443\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(3\) \(-12\) \(78\) \(28\) \(q+(1-\beta _{1}+\beta _{4}+\beta _{5})q^{2}+(-3+3\beta _{1}+\cdots)q^{3}+\cdots\)
10.6.a.a \(1\) \(1.604\) \(\Q\) None \(-4\) \(-26\) \(-25\) \(-22\) \(+\) \(q-4q^{2}-26q^{3}+2^{4}q^{4}-5^{2}q^{5}+104q^{6}+\cdots\)
10.6.a.b \(1\) \(1.604\) \(\Q\) None \(-4\) \(24\) \(25\) \(-172\) \(-\) \(q-4q^{2}+24q^{3}+2^{4}q^{4}+5^{2}q^{5}-96q^{6}+\cdots\)
10.6.a.c \(1\) \(1.604\) \(\Q\) None \(4\) \(6\) \(-25\) \(-118\) \(-\) \(q+4q^{2}+6q^{3}+2^{4}q^{4}-5^{2}q^{5}+24q^{6}+\cdots\)
10.6.b.a \(2\) \(1.604\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(110\) \(0\) \(q+2iq^{2}+7iq^{3}-2^{4}q^{4}+(55+5i)q^{5}+\cdots\)
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 \(-1\) \(-24\) \(-10\) \(196\) \(q+(1-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{7})q^{2}+\cdots\)
12.6.b.a \(8\) \(1.925\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(1-\beta _{3})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
13.6.a.a \(2\) \(2.085\) \(\Q(\sqrt{17}) \) None \(-5\) \(-28\) \(-42\) \(-36\) \(+\) \(q+(-2-\beta )q^{2}+(-17+6\beta )q^{3}+(-24+\cdots)q^{4}+\cdots\)
13.6.a.b \(3\) \(2.085\) 3.3.168897.1 None \(7\) \(8\) \(56\) \(-60\) \(-\) \(q+(2+\beta _{1})q^{2}+(3-\beta _{1}-\beta _{2})q^{3}+(40+\cdots)q^{4}+\cdots\)
13.6.b.a \(6\) \(2.085\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(16\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{3}+(-22-\beta _{2}+\cdots)q^{4}+\cdots\)
13.6.c.a \(8\) \(2.085\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-5\) \(8\) \(-20\) \(68\) \(q+(-1-\beta _{1}+\beta _{3})q^{2}+(2-2\beta _{3}-\beta _{5}+\cdots)q^{3}+\cdots\)
13.6.e.a \(10\) \(2.085\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-3\) \(-10\) \(0\) \(-276\) \(q-\beta _{3}q^{2}+(-2-2\beta _{2}-\beta _{5}-\beta _{6})q^{3}+\cdots\)
14.6.a.a \(1\) \(2.245\) \(\Q\) None \(-4\) \(10\) \(84\) \(49\) \(-\) \(q-4q^{2}+10q^{3}+2^{4}q^{4}+84q^{5}-40q^{6}+\cdots\)
14.6.a.b \(1\) \(2.245\) \(\Q\) None \(4\) \(8\) \(10\) \(-49\) \(-\) \(q+4q^{2}+8q^{3}+2^{4}q^{4}+10q^{5}+2^{5}q^{6}+\cdots\)
14.6.c.a \(4\) \(2.245\) \(\Q(\sqrt{-3}, \sqrt{79})\) None \(-8\) \(-14\) \(-70\) \(0\) \(q+4\beta _{2}q^{2}+(-7-\beta _{1}-7\beta _{2})q^{3}+(-2^{4}+\cdots)q^{4}+\cdots\)
14.6.c.b \(4\) \(2.245\) \(\Q(\sqrt{-3}, \sqrt{130})\) None \(8\) \(14\) \(42\) \(232\) \(q-4\beta _{2}q^{2}+(7-\beta _{1}+7\beta _{2})q^{3}+(-2^{4}+\cdots)q^{4}+\cdots\)
15.6.a.a \(1\) \(2.406\) \(\Q\) None \(-2\) \(-9\) \(-25\) \(-132\) \(+\) \(q-2q^{2}-9q^{3}-28q^{4}-5^{2}q^{5}+18q^{6}+\cdots\)
15.6.a.b \(1\) \(2.406\) \(\Q\) None \(7\) \(9\) \(-25\) \(12\) \(-\) \(q+7q^{2}+9q^{3}+17q^{4}-5^{2}q^{5}+63q^{6}+\cdots\)
15.6.a.c \(2\) \(2.406\) \(\Q(\sqrt{409}) \) None \(-1\) \(-18\) \(50\) \(-112\) \(-\) \(q-\beta q^{2}-9q^{3}+(70+\beta )q^{4}+5^{2}q^{5}+\cdots\)
15.6.b.a \(4\) \(2.406\) \(\Q(i, \sqrt{89})\) None \(0\) \(0\) \(120\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(-11+\beta _{3})q^{4}+\cdots\)
15.6.e.a \(16\) \(2.406\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(-80\) \(q-\beta _{7}q^{2}-\beta _{4}q^{3}+(-13\beta _{3}-\beta _{6})q^{4}+\cdots\)
16.6.a.a \(1\) \(2.566\) \(\Q\) None \(0\) \(-20\) \(-74\) \(24\) \(+\) \(q-20q^{3}-74q^{5}+24q^{7}+157q^{9}+\cdots\)
16.6.a.b \(1\) \(2.566\) \(\Q\) None \(0\) \(12\) \(54\) \(88\) \(-\) \(q+12q^{3}+54q^{5}+88q^{7}-99q^{9}+\cdots\)
16.6.e.a \(18\) \(2.566\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-2\) \(-2\) \(-2\) \(0\) \(q+\beta _{5}q^{2}-\beta _{4}q^{3}+(-1+\beta _{1}+\beta _{9}+\cdots)q^{4}+\cdots\)
17.6.a.a \(1\) \(2.727\) \(\Q\) None \(-6\) \(10\) \(-72\) \(-196\) \(+\) \(q-6q^{2}+10q^{3}+4q^{4}-72q^{5}-60q^{6}+\cdots\)
17.6.a.b \(1\) \(2.727\) \(\Q\) None \(1\) \(-18\) \(-16\) \(28\) \(+\) \(q+q^{2}-18q^{3}-31q^{4}-2^{4}q^{5}-18q^{6}+\cdots\)
17.6.a.c \(4\) \(2.727\) 4.4.5416116.1 None \(3\) \(28\) \(80\) \(284\) \(-\) \(q+(1+\beta _{1})q^{2}+(7+\beta _{1}-\beta _{3})q^{3}+(18+\cdots)q^{4}+\cdots\)
17.6.b.a \(6\) \(2.727\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(-2\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{2}-\beta _{1}q^{3}+(14+\beta _{5})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
17.6.c.a \(12\) \(2.727\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(-24\) \(-40\) \(-120\) \(q+(\beta _{1}+\beta _{3})q^{2}+(-2-2\beta _{3}-\beta _{8})q^{3}+\cdots\)
17.6.d.a \(28\) \(2.727\) None \(-4\) \(-4\) \(40\) \(-4\)
18.6.a.a \(1\) \(2.887\) \(\Q\) None \(-4\) \(0\) \(-96\) \(-148\) \(+\) \(q-4q^{2}+2^{4}q^{4}-96q^{5}-148q^{7}+\cdots\)
18.6.a.b \(1\) \(2.887\) \(\Q\) None \(-4\) \(0\) \(66\) \(176\) \(-\) \(q-4q^{2}+2^{4}q^{4}+66q^{5}+176q^{7}+\cdots\)
18.6.a.c \(1\) \(2.887\) \(\Q\) None \(4\) \(0\) \(96\) \(-148\) \(-\) \(q+4q^{2}+2^{4}q^{4}+96q^{5}-148q^{7}+\cdots\)
18.6.c.a \(4\) \(2.887\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(8\) \(0\) \(-54\) \(74\) \(q+4\beta _{1}q^{2}+(-3+6\beta _{1}+\beta _{3})q^{3}+(-2^{4}+\cdots)q^{4}+\cdots\)
18.6.c.b \(6\) \(2.887\) 6.0.\(\cdots\).3 None \(-12\) \(9\) \(-54\) \(-132\) \(q-4\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
19.6.a.a \(1\) \(3.047\) \(\Q\) None \(-6\) \(4\) \(54\) \(248\) \(-\) \(q-6q^{2}+4q^{3}+4q^{4}+54q^{5}-24q^{6}+\cdots\)
19.6.a.b \(1\) \(3.047\) \(\Q\) None \(-2\) \(-1\) \(-24\) \(-167\) \(+\) \(q-2q^{2}-q^{3}-28q^{4}-24q^{5}+2q^{6}+\cdots\)
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