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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
93.1.l.a \(4\) \(0.046\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
93.2.a.a \(2\) \(0.743\) \(\Q(\sqrt{5}) \) None None \(-3\) \(-2\) \(-4\) \(-4\) \(+\) \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-3+\cdots)q^{5}+\cdots\)
93.2.a.b \(3\) \(0.743\) 3.3.229.1 None None \(0\) \(3\) \(-2\) \(4\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
93.2.c.a \(8\) \(0.743\) 8.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(-8\) \(q-\beta _{5}q^{2}+\beta _{6}q^{3}+\beta _{3}q^{4}+\beta _{1}q^{5}+\cdots\)
93.2.e.a \(4\) \(0.743\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(0\) \(2\) \(4\) \(4\) \(q+\beta _{3}q^{2}+(1+\beta _{2})q^{3}+(-\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots\)
93.2.e.b \(6\) \(0.743\) 6.0.591408.1 None None \(0\) \(-3\) \(-4\) \(-4\) \(q+\beta _{3}q^{2}-\beta _{4}q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
93.2.f.a \(8\) \(0.743\) \(\Q(\zeta_{15})\) None None \(3\) \(2\) \(-6\) \(9\) \(q+(1-\zeta_{15}+\zeta_{15}^{3})q^{2}+(1+\zeta_{15}^{2}+\cdots)q^{3}+\cdots\)
93.2.f.b \(16\) \(0.743\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-3\) \(-4\) \(6\) \(-7\) \(q-\beta _{1}q^{2}+\beta _{8}q^{3}+(-1-\beta _{8}-\beta _{9}+\cdots)q^{4}+\cdots\)
93.2.g.a \(2\) \(0.743\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(4\) \(q+(-1-\zeta_{6})q^{3}+2q^{4}+(4-4\zeta_{6})q^{7}+\cdots\)
93.2.g.b \(2\) \(0.743\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(1\) \(q+(1-2\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-q^{4}+\cdots\)
93.2.g.c \(2\) \(0.743\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-3\) \(1\) \(q+(-1+2\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-q^{4}+\cdots\)
93.2.g.d \(4\) \(0.743\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(0\) \(-6\) \(0\) \(-4\) \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}-4q^{4}+\beta _{3}q^{5}+\cdots\)
93.2.g.e \(4\) \(0.743\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(1\) \(-3\) \(-1\) \(q+(-\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
93.2.g.f \(4\) \(0.743\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(2\) \(3\) \(-1\) \(q+(-\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1-\beta _{1}+\beta _{3})q^{3}+\cdots\)
93.2.k.a \(32\) \(0.743\) None None \(0\) \(-5\) \(0\) \(8\)
93.2.m.a \(16\) \(0.743\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(-2\) \(6\) \(-9\) \(q+(-\beta _{7}+\beta _{12}+\beta _{13})q^{2}+(-1+\beta _{2}+\cdots)q^{3}+\cdots\)
93.2.m.b \(24\) \(0.743\) None None \(0\) \(3\) \(-6\) \(-1\)
93.2.p.a \(8\) \(0.743\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(-4\) \(q+(\zeta_{15}^{2}+2\zeta_{15}^{7})q^{3}+2\zeta_{15}^{6}q^{4}+\cdots\)
93.2.p.b \(64\) \(0.743\) None None \(0\) \(-10\) \(0\) \(-26\)
93.3.b.a \(20\) \(2.534\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{6}q^{3}+(-2+\beta _{2})q^{4}+\beta _{11}q^{5}+\cdots\)
93.3.d.a \(2\) \(2.534\) \(\Q(\sqrt{-3}) \) None None \(-6\) \(0\) \(-12\) \(4\) \(q-3q^{2}-\zeta_{6}q^{3}+5q^{4}-6q^{5}+3\zeta_{6}q^{6}+\cdots\)
93.3.d.b \(8\) \(2.534\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(6\) \(0\) \(12\) \(-20\) \(q+(1+\beta _{5})q^{2}+\beta _{1}q^{3}+(2-\beta _{2}+\beta _{5}+\cdots)q^{4}+\cdots\)
93.3.h.a \(2\) \(2.534\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(-2\) \(q+3\zeta_{6}q^{3}+4q^{4}-2\zeta_{6}q^{7}+(-9+9\zeta_{6})q^{9}+\cdots\)
93.3.h.b \(36\) \(2.534\) None None \(0\) \(-2\) \(0\) \(-14\)
93.3.i.a \(10\) \(2.534\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(-6\) \(15\) \(0\) \(-1\) \(q+(-1-\beta _{8}-\beta _{9})q^{2}+(1+\beta _{2})q^{3}+\cdots\)
93.3.i.b \(12\) \(2.534\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(6\) \(-18\) \(0\) \(9\) \(q+(1-\beta _{3})q^{2}+(-2+\beta _{5})q^{3}+(3-\beta _{2}+\cdots)q^{4}+\cdots\)
93.3.j.a \(40\) \(2.534\) None None \(0\) \(0\) \(0\) \(-4\)
93.3.l.a \(8\) \(2.534\) 8.0.3844000000.4 None None \(0\) \(-6\) \(0\) \(24\) \(q+\beta _{1}q^{2}-3\beta _{3}q^{3}+(-2-3\beta _{2}+2\beta _{3}+\cdots)q^{4}+\cdots\)
93.3.l.b \(72\) \(2.534\) None None \(0\) \(5\) \(0\) \(-54\)
93.3.n.a \(40\) \(2.534\) None None \(6\) \(-15\) \(0\) \(11\)
93.3.n.b \(48\) \(2.534\) None None \(-6\) \(18\) \(0\) \(1\)
93.3.o.a \(8\) \(2.534\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(2\) \(q-3\zeta_{15}^{4}q^{3}+(-4\zeta_{15}^{2}-4\zeta_{15}^{7})q^{4}+\cdots\)
93.3.o.b \(144\) \(2.534\) None None \(0\) \(-8\) \(0\) \(14\)
93.4.a.a \(1\) \(5.487\) \(\Q\) None None \(3\) \(-3\) \(-9\) \(-34\) \(-\) \(q+3q^{2}-3q^{3}+q^{4}-9q^{5}-9q^{6}+\cdots\)
93.4.a.b \(2\) \(5.487\) \(\Q(\sqrt{29}) \) None None \(-5\) \(-6\) \(8\) \(-4\) \(-\) \(q+(-2-\beta )q^{2}-3q^{3}+(3+5\beta )q^{4}+\cdots\)
93.4.a.c \(2\) \(5.487\) \(\Q(\sqrt{17}) \) None None \(-3\) \(6\) \(-8\) \(-37\) \(-\) \(q+(-1-\beta )q^{2}+3q^{3}+(-3+3\beta )q^{4}+\cdots\)
93.4.a.d \(2\) \(5.487\) \(\Q(\sqrt{41}) \) None None \(-1\) \(-6\) \(-11\) \(29\) \(-\) \(q-\beta q^{2}-3q^{3}+(2+\beta )q^{4}+(-7+3\beta )q^{5}+\cdots\)
93.4.a.e \(3\) \(5.487\) 3.3.2089.1 None None \(3\) \(-9\) \(8\) \(19\) \(+\) \(q+(1+\beta _{1})q^{2}-3q^{3}+(1+3\beta _{1}+2\beta _{2})q^{4}+\cdots\)
93.4.a.f \(6\) \(5.487\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(3\) \(18\) \(12\) \(47\) \(+\) \(q+(1-\beta _{1})q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
93.4.c.a \(2\) \(5.487\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(40\) \(q-\zeta_{6}q^{3}+8q^{4}+20q^{7}-3^{3}q^{9}-8\zeta_{6}q^{12}+\cdots\)
93.4.c.b \(28\) \(5.487\) None None \(0\) \(0\) \(0\) \(-64\)
93.4.e.a \(14\) \(5.487\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-6\) \(-21\) \(-4\) \(-17\) \(q-\beta _{2}q^{2}+3\beta _{3}q^{3}+(3-\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
93.4.e.b \(18\) \(5.487\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(6\) \(27\) \(4\) \(-9\) \(q+\beta _{3}q^{2}+3\beta _{4}q^{3}+(5-\beta _{2})q^{4}+(\beta _{5}+\cdots)q^{5}+\cdots\)
93.4.f.a \(32\) \(5.487\) None None \(0\) \(-24\) \(-54\) \(-25\)
93.4.f.b \(32\) \(5.487\) None None \(0\) \(24\) \(54\) \(-25\)
93.4.g.a \(60\) \(5.487\) None None \(0\) \(-3\) \(0\) \(24\)
93.4.k.a \(8\) \(5.487\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-40\) \(q+\zeta_{15}^{6}q^{3}+8\zeta_{15}^{2}q^{4}+(-10-10\zeta_{15}^{2}+\cdots)q^{7}+\cdots\)
93.4.k.b \(112\) \(5.487\) None None \(0\) \(-5\) \(0\) \(24\)
93.4.m.a \(56\) \(5.487\) None None \(6\) \(21\) \(54\) \(32\)
93.4.m.b \(72\) \(5.487\) None None \(-6\) \(-27\) \(-54\) \(24\)
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