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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
108.1.c.a \(1\) \(0.054\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots\)
108.2.a.a \(1\) \(0.862\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(5\) \(-\) \(q+5q^{7}-7q^{13}-q^{19}-5q^{25}-4q^{31}+\cdots\)
108.2.b.a \(4\) \(0.862\) \(\Q(\sqrt{3}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
108.2.b.b \(4\) \(0.862\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
108.2.e.a \(2\) \(0.862\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(1\) \(q+3\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}+\cdots\)
108.2.h.a \(8\) \(0.862\) 8.0.170772624.1 None None \(3\) \(0\) \(6\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{3}-\beta _{5}-\beta _{7})q^{4}+\cdots\)
108.2.i.a \(18\) \(0.862\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(3\) \(0\) \(q+\beta _{12}q^{3}+(-1+\beta _{1}-\beta _{4}-\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots\)
108.2.l.a \(96\) \(0.862\) None None \(-6\) \(0\) \(-12\) \(0\)
108.3.c.a \(1\) \(2.943\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(11\) \(q+11q^{7}+23q^{13}-37q^{19}+5^{2}q^{25}+\cdots\)
108.3.c.b \(2\) \(2.943\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-14\) \(q+iq^{5}-7q^{7}+iq^{11}+14q^{13}+2iq^{17}+\cdots\)
108.3.d.a \(2\) \(2.943\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(0\) \(14\) \(0\) \(q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}+7q^{5}+\cdots\)
108.3.d.b \(2\) \(2.943\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(-14\) \(0\) \(q+(1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}-7q^{5}+\cdots\)
108.3.d.c \(4\) \(2.943\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{2})q^{2}+(3+\beta _{3})q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
108.3.d.d \(8\) \(2.943\) 8.0.207360000.1 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(-1+\beta _{5})q^{4}+(-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
108.3.f.a \(2\) \(2.943\) \(\Q(\sqrt{-3}) \) None None \(-4\) \(0\) \(4\) \(-6\) \(q-2q^{2}+4q^{4}+(4-4\zeta_{6})q^{5}+(-4+\cdots)q^{7}+\cdots\)
108.3.f.b \(2\) \(2.943\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(4\) \(6\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(4-4\zeta_{6})q^{5}+\cdots\)
108.3.f.c \(16\) \(2.943\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(3\) \(0\) \(-6\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{2}+\beta _{3})q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
108.3.g.a \(4\) \(2.943\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-9\) \(-1\) \(q+(-2+\beta _{2}-\beta _{3})q^{5}+(-1+\beta _{1}-2\beta _{3})q^{7}+\cdots\)
108.3.j.a \(204\) \(2.943\) None None \(-6\) \(0\) \(-12\) \(0\)
108.3.k.a \(36\) \(2.943\) None None \(0\) \(0\) \(-9\) \(0\)
108.4.a.a \(1\) \(6.372\) \(\Q\) None None \(0\) \(0\) \(-9\) \(-1\) \(-\) \(q-9q^{5}-q^{7}-63q^{11}-28q^{13}-72q^{17}+\cdots\)
108.4.a.b \(1\) \(6.372\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-37\) \(-\) \(q-37q^{7}-19q^{13}-163q^{19}-5^{3}q^{25}+\cdots\)
108.4.a.c \(1\) \(6.372\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(17\) \(+\) \(q+17q^{7}+89q^{13}+107q^{19}-5^{3}q^{25}+\cdots\)
108.4.a.d \(1\) \(6.372\) \(\Q\) None None \(0\) \(0\) \(9\) \(-1\) \(+\) \(q+9q^{5}-q^{7}+63q^{11}-28q^{13}+72q^{17}+\cdots\)
108.4.b.a \(12\) \(6.372\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{2}+(-1-\beta _{4})q^{4}-\beta _{9}q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
108.4.b.b \(12\) \(6.372\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{6}q^{4}+\beta _{5}q^{5}-\beta _{4}q^{7}+\cdots\)
108.4.e.a \(6\) \(6.372\) 6.0.6831243.2 None None \(0\) \(0\) \(-6\) \(-6\) \(q+(-2+2\beta _{1}+\beta _{5})q^{5}+(-2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
108.4.h.a \(8\) \(6.372\) 8.0.\(\cdots\).1 None None \(3\) \(0\) \(-66\) \(0\) \(q+\beta _{7}q^{2}+(2\beta _{2}-2\beta _{3}-2\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
108.4.h.b \(24\) \(6.372\) None None \(0\) \(0\) \(72\) \(0\)
108.4.i.a \(54\) \(6.372\) None None \(0\) \(0\) \(12\) \(0\)
108.4.l.a \(312\) \(6.372\) None None \(-6\) \(0\) \(-12\) \(0\)
108.5.c.a \(1\) \(11.164\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(23\) \(q+23q^{7}+191q^{13}+647q^{19}+5^{4}q^{25}+\cdots\)
108.5.c.b \(2\) \(11.164\) \(\Q(\sqrt{-6}) \) None None \(0\) \(0\) \(0\) \(-62\) \(q+\beta q^{5}-31q^{7}-5\beta q^{11}-241q^{13}+\cdots\)
108.5.c.c \(2\) \(11.164\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(10\) \(q+iq^{5}+5q^{7}+13iq^{11}-34q^{13}+\cdots\)
108.5.d.a \(16\) \(11.164\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}-\beta _{7}+\cdots)q^{5}+\cdots\)
108.5.d.b \(16\) \(11.164\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{7}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{7}+\beta _{9}+\cdots)q^{5}+\cdots\)
108.5.f.a \(44\) \(11.164\) None None \(1\) \(0\) \(2\) \(0\)
108.5.g.a \(8\) \(11.164\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(9\) \(13\) \(q+(2+\beta _{2}+\beta _{4}+\beta _{7})q^{5}+(3-\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
108.5.j.a \(420\) \(11.164\) None None \(-6\) \(0\) \(-12\) \(0\)
108.5.k.a \(72\) \(11.164\) None None \(0\) \(0\) \(9\) \(0\)
108.6.a.a \(1\) \(17.321\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-25\) \(+\) \(q-5^{2}q^{7}-427q^{13}-1711q^{19}-5^{5}q^{25}+\cdots\)
108.6.a.b \(2\) \(17.321\) \(\Q(\sqrt{41}) \) None None \(0\) \(0\) \(0\) \(-32\) \(+\) \(q-\beta q^{5}+(-2^{4}+3\beta )q^{7}+(-3^{5}+8\beta )q^{11}+\cdots\)
108.6.a.c \(2\) \(17.321\) \(\Q(\sqrt{41}) \) None None \(0\) \(0\) \(0\) \(-32\) \(-\) \(q-\beta q^{5}+(-2^{4}-3\beta )q^{7}+(3^{5}+8\beta )q^{11}+\cdots\)
108.6.a.d \(2\) \(17.321\) \(\Q(\sqrt{6}) \) None None \(0\) \(0\) \(0\) \(58\) \(-\) \(q+\beta q^{5}+29q^{7}+\beta q^{11}+329q^{13}+\cdots\)
108.6.b.a \(4\) \(17.321\) \(\Q(\sqrt{3}, \sqrt{-29})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{2})q^{2}+(-26-2\beta _{3})q^{4}+\cdots\)
108.6.b.b \(16\) \(17.321\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(6-\beta _{4})q^{4}+(-3\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
108.6.b.c \(20\) \(17.321\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}+(1+\beta _{2})q^{4}+\beta _{15}q^{5}-\beta _{5}q^{7}+\cdots\)
108.6.e.a \(10\) \(17.321\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(21\) \(29\) \(q+(4-4\beta _{1}+\beta _{7})q^{5}+(6\beta _{1}+\beta _{2}+\beta _{7}+\cdots)q^{7}+\cdots\)
108.6.h.a \(56\) \(17.321\) None None \(3\) \(0\) \(6\) \(0\)
108.6.i.a \(90\) \(17.321\) None None \(0\) \(0\) \(-87\) \(0\)
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