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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
7.3.b.a \(1\) \(0.191\) \(\Q\) \(\Q(\sqrt{-7}) \) \(-3\) \(0\) \(0\) \(-7\) \(q-3q^{2}+5q^{4}-7q^{7}-3q^{8}+9q^{9}+\cdots\)
8.3.d.a \(1\) \(0.218\) \(\Q\) \(\Q(\sqrt{-2}) \) \(-2\) \(-2\) \(0\) \(0\) \(q-2q^{2}-2q^{3}+4q^{4}+4q^{6}-8q^{8}+\cdots\)
9.3.d.a \(2\) \(0.245\) \(\Q(\sqrt{-3}) \) None \(-3\) \(-3\) \(6\) \(-2\) \(q+(-1-\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
10.3.c.a \(2\) \(0.272\) \(\Q(\sqrt{-1}) \) None \(-2\) \(-4\) \(0\) \(4\) \(q+(-1-i)q^{2}+(-2+2i)q^{3}+2iq^{4}+\cdots\)
5.4.a.a \(1\) \(0.295\) \(\Q\) None \(-4\) \(2\) \(-5\) \(6\) \(+\) \(q-4q^{2}+2q^{3}+8q^{4}-5q^{5}-8q^{6}+\cdots\)
6.4.a.a \(1\) \(0.354\) \(\Q\) None \(-2\) \(-3\) \(6\) \(-16\) \(+\) \(q-2q^{2}-3q^{3}+4q^{4}+6q^{5}+6q^{6}+\cdots\)
7.4.a.a \(1\) \(0.413\) \(\Q\) None \(-1\) \(-2\) \(16\) \(-7\) \(+\) \(q-q^{2}-2q^{3}-7q^{4}+2^{4}q^{5}+2q^{6}+\cdots\)
7.4.c.a \(2\) \(0.413\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-7\) \(-7\) \(28\) \(q+(-2+2\zeta_{6})q^{2}-7\zeta_{6}q^{3}+4\zeta_{6}q^{4}+\cdots\)
4.5.b.a \(1\) \(0.413\) \(\Q\) \(\Q(\sqrt{-1}) \) \(-4\) \(0\) \(-14\) \(0\) \(q-4q^{2}+2^{4}q^{4}-14q^{5}-2^{6}q^{8}+3^{4}q^{9}+\cdots\)
8.4.a.a \(1\) \(0.472\) \(\Q\) None \(0\) \(-4\) \(-2\) \(24\) \(+\) \(q-4q^{3}-2q^{5}+24q^{7}-11q^{9}-44q^{11}+\cdots\)
8.4.b.a \(2\) \(0.472\) \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-16\) \(q+(-1-\beta )q^{2}+2\beta q^{3}+(-6+2\beta )q^{4}+\cdots\)
3.6.a.a \(1\) \(0.481\) \(\Q\) None \(-6\) \(9\) \(6\) \(-40\) \(-\) \(q-6q^{2}+9q^{3}+4q^{4}+6q^{5}-54q^{6}+\cdots\)
5.5.c.a \(2\) \(0.517\) \(\Q(\sqrt{-1}) \) None \(-2\) \(-12\) \(40\) \(-52\) \(q+(-1-i)q^{2}+(-6+6i)q^{3}-14iq^{4}+\cdots\)
9.4.a.a \(1\) \(0.531\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(20\) \(+\) \(q-8q^{4}+20q^{7}-70q^{13}+2^{6}q^{16}+\cdots\)
9.4.c.a \(4\) \(0.531\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-3\) \(-3\) \(-15\) \(-7\) \(q+(-\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
10.4.a.a \(1\) \(0.590\) \(\Q\) None \(2\) \(-8\) \(5\) \(-4\) \(+\) \(q+2q^{2}-8q^{3}+4q^{4}+5q^{5}-2^{4}q^{6}+\cdots\)
10.4.b.a \(2\) \(0.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-10\) \(0\) \(q+iq^{2}-iq^{3}-4q^{4}+(-5-5i)q^{5}+\cdots\)
6.5.b.a \(2\) \(0.620\) \(\Q(\sqrt{-2}) \) None \(0\) \(-6\) \(0\) \(52\) \(q+\beta q^{2}+(-3-3\beta )q^{3}-8q^{4}+6\beta q^{5}+\cdots\)
2.8.a.a \(1\) \(0.625\) \(\Q\) None \(-8\) \(12\) \(-210\) \(1016\) \(+\) \(q-8q^{2}+12q^{3}+2^{6}q^{4}-210q^{5}+\cdots\)
4.6.a.a \(1\) \(0.642\) \(\Q\) None \(0\) \(-12\) \(54\) \(-88\) \(-\) \(q-12q^{3}+54q^{5}-88q^{7}-99q^{9}+\cdots\)
3.7.b.a \(1\) \(0.690\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(-27\) \(0\) \(-286\) \(q-3^{3}q^{3}+2^{6}q^{4}-286q^{7}+3^{6}q^{9}+\cdots\)
7.5.b.a \(1\) \(0.724\) \(\Q\) \(\Q(\sqrt{-7}) \) \(1\) \(0\) \(0\) \(49\) \(q+q^{2}-15q^{4}+7^{2}q^{7}-31q^{8}+3^{4}q^{9}+\cdots\)
7.5.d.a \(4\) \(0.724\) \(\Q(\sqrt{-3}, \sqrt{22})\) None \(-4\) \(6\) \(-30\) \(0\) \(q+(-2+\beta _{1}-2\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
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 \(0\) \(0\) \(-90\) \(0\) \(q-\beta q^{2}+3\beta q^{3}-12q^{4}+(-45-5\beta )q^{5}+\cdots\)
8.5.d.a \(1\) \(0.827\) \(\Q\) \(\Q(\sqrt{-2}) \) \(4\) \(-14\) \(0\) \(0\) \(q+4q^{2}-14q^{3}+2^{4}q^{4}-56q^{6}+2^{6}q^{8}+\cdots\)
8.5.d.b \(2\) \(0.827\) \(\Q(\sqrt{-15}) \) None \(-2\) \(12\) \(0\) \(0\) \(q+(-1-\beta )q^{2}+6q^{3}+(-14+2\beta )q^{4}+\cdots\)
4.7.b.a \(2\) \(0.920\) \(\Q(\sqrt{-15}) \) None \(4\) \(0\) \(20\) \(0\) \(q+(2+\beta )q^{2}-4\beta q^{3}+(-56+4\beta )q^{4}+\cdots\)
9.5.b.a \(2\) \(0.930\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(-56\) \(q+\beta q^{2}-2q^{4}-7\beta q^{5}-28q^{7}+14\beta q^{8}+\cdots\)
9.5.d.a \(6\) \(0.930\) 6.0.39400128.1 None \(-3\) \(-3\) \(-12\) \(12\) \(q+\beta _{2}q^{2}+(-3+\beta _{1}-3\beta _{3}+\beta _{4})q^{3}+\cdots\)
3.8.a.a \(1\) \(0.937\) \(\Q\) None \(6\) \(-27\) \(390\) \(-64\) \(+\) \(q+6q^{2}-3^{3}q^{3}-92q^{4}+390q^{5}+\cdots\)
6.6.a.a \(1\) \(0.962\) \(\Q\) None \(4\) \(-9\) \(-66\) \(176\) \(-\) \(q+4q^{2}-9q^{3}+2^{4}q^{4}-66q^{5}-6^{2}q^{6}+\cdots\)
2.10.a.a \(1\) \(1.030\) \(\Q\) None \(16\) \(-156\) \(870\) \(-952\) \(-\) \(q+2^{4}q^{2}-156q^{3}+2^{8}q^{4}+870q^{5}+\cdots\)
10.5.c.a \(2\) \(1.034\) \(\Q(\sqrt{-1}) \) None \(-4\) \(18\) \(-30\) \(58\) \(q+(-2-2i)q^{2}+(9-9i)q^{3}+8iq^{4}+\cdots\)
10.5.c.b \(2\) \(1.034\) \(\Q(\sqrt{-1}) \) None \(4\) \(2\) \(-30\) \(-38\) \(q+(2+2i)q^{2}+(1-i)q^{3}+8iq^{4}+(-15+\cdots)q^{5}+\cdots\)
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 \(-2\) \(8\) \(38\) \(-168\) \(q+(-\beta _{1}-\beta _{2})q^{2}+(4-4\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\)
5.7.c.a \(4\) \(1.150\) \(\Q(i, \sqrt{201})\) None \(-10\) \(30\) \(-70\) \(550\) \(q+(-2+2\beta _{1}+\beta _{3})q^{2}+(7+8\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
3.9.b.a \(2\) \(1.222\) \(\Q(\sqrt{-14}) \) None \(0\) \(90\) \(0\) \(-3500\) \(q+\beta q^{2}+(45-3\beta )q^{3}-248q^{4}-10\beta q^{5}+\cdots\)
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 \(-2\) \(0\) \(0\) \(96\) \(q+(-1-\beta _{1})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(5+\cdots)q^{4}+\cdots\)
6.7.b.a \(2\) \(1.380\) \(\Q(\sqrt{-2}) \) None \(0\) \(42\) \(0\) \(4\) \(q+\beta q^{2}+(21+3\beta )q^{3}-2^{5}q^{4}-30\beta q^{5}+\cdots\)
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 \(3\) \(-12\) \(78\) \(28\) \(q+(1-\beta _{1}+\beta _{4}+\beta _{5})q^{2}+(-3+3\beta _{1}+\cdots)q^{3}+\cdots\)
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 \(18\) \(81\) \(-1530\) \(9128\) \(-\) \(q+18q^{2}+3^{4}q^{3}-188q^{4}-1530q^{5}+\cdots\)
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 \(0\) \(0\) \(150\) \(0\) \(q+\beta q^{2}+3\beta q^{3}+12q^{4}+(75-5^{2}\beta )q^{5}+\cdots\)
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