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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
129.1.l.a \(6\) \(0.064\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\)
129.2.a.a \(1\) \(1.030\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-2\) \(+\) \(q-q^{3}-2q^{4}-2q^{5}-2q^{7}+q^{9}-5q^{11}+\cdots\)
129.2.a.b \(1\) \(1.030\) \(\Q\) None None \(1\) \(1\) \(2\) \(0\) \(-\) \(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
129.2.a.c \(2\) \(1.030\) \(\Q(\sqrt{2}) \) None None \(2\) \(-2\) \(2\) \(2\) \(-\) \(q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
129.2.a.d \(3\) \(1.030\) 3.3.568.1 None None \(-2\) \(3\) \(-4\) \(4\) \(-\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(3+\beta _{2})q^{4}+\cdots\)
129.2.d.a \(12\) \(1.030\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{6}q^{3}+\beta _{9}q^{4}+\beta _{11}q^{5}+\cdots\)
129.2.e.a \(2\) \(1.030\) \(\Q(\sqrt{-3}) \) None None \(-4\) \(-1\) \(-2\) \(-3\) \(q-2q^{2}+(-1+\zeta_{6})q^{3}+2q^{4}+(-2+\cdots)q^{5}+\cdots\)
129.2.e.b \(6\) \(1.030\) 6.0.1783323.2 None None \(-2\) \(3\) \(-3\) \(-3\) \(q+\beta _{2}q^{2}+\beta _{4}q^{3}+(1+\beta _{3})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots\)
129.2.e.c \(6\) \(1.030\) 6.0.64827.1 None None \(2\) \(-3\) \(1\) \(5\) \(q+\beta _{2}q^{2}-\beta _{5}q^{3}+(-1+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
129.2.h.a \(2\) \(1.030\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(-9\) \(q+(-1-\zeta_{6})q^{3}-2q^{4}+(-6+3\zeta_{6})q^{7}+\cdots\)
129.2.h.b \(24\) \(1.030\) None None \(0\) \(0\) \(0\) \(0\)
129.2.i.a \(6\) \(1.030\) \(\Q(\zeta_{14})\) None None \(-5\) \(1\) \(10\) \(0\) \(q+(-\zeta_{14}+\zeta_{14}^{2}-\zeta_{14}^{3}+\zeta_{14}^{4}+\cdots)q^{2}+\cdots\)
129.2.i.b \(12\) \(1.030\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(3\) \(2\) \(-10\) \(14\) \(q+(1-\beta _{2}-\beta _{6}-\beta _{7}-\beta _{8}+\beta _{9}+\beta _{11})q^{2}+\cdots\)
129.2.i.c \(30\) \(1.030\) None None \(-2\) \(-5\) \(-4\) \(2\)
129.2.j.a \(72\) \(1.030\) None None \(0\) \(-7\) \(0\) \(0\)
129.2.m.a \(36\) \(1.030\) None None \(2\) \(-3\) \(3\) \(-11\)
129.2.m.b \(48\) \(1.030\) None None \(2\) \(4\) \(1\) \(-16\)
129.2.n.a \(12\) \(1.030\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(9\) \(q+(2\zeta_{21}+\zeta_{21}^{8})q^{3}+(2-2\zeta_{21}+2\zeta_{21}^{3}+\cdots)q^{4}+\cdots\)
129.2.n.b \(144\) \(1.030\) None None \(0\) \(-14\) \(0\) \(-42\)
129.3.b.a \(14\) \(3.515\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(-3+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)
129.3.c.a \(28\) \(3.515\) None None \(0\) \(2\) \(0\) \(8\)
129.3.f.a \(2\) \(3.515\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(13\) \(q+3\zeta_{6}q^{3}+4q^{4}+(13-13\zeta_{6})q^{7}+\cdots\)
129.3.f.b \(52\) \(3.515\) None None \(0\) \(-8\) \(0\) \(-16\)
129.3.g.a \(2\) \(3.515\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(18\) \(q+(-1+2\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+\cdots\)
129.3.g.b \(14\) \(3.515\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(-21\) \(3\) \(-36\) \(q+\beta _{1}q^{2}+(-1-\beta _{8})q^{3}+(-2+\beta _{2}+\cdots)q^{4}+\cdots\)
129.3.g.c \(14\) \(3.515\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(21\) \(-3\) \(15\) \(q+(\beta _{3}-\beta _{4})q^{2}+(2-\beta _{2})q^{3}+(-2+\beta _{1}+\cdots)q^{4}+\cdots\)
129.3.k.a \(84\) \(3.515\) None None \(0\) \(0\) \(0\) \(0\)
129.3.l.a \(168\) \(3.515\) None None \(0\) \(-9\) \(0\) \(-36\)
129.3.o.a \(12\) \(3.515\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(-13\) \(q+(3\zeta_{21}^{2}+3\zeta_{21}^{9})q^{3}+4\zeta_{21}^{3}q^{4}+\cdots\)
129.3.o.b \(312\) \(3.515\) None None \(0\) \(-6\) \(0\) \(2\)
129.3.p.a \(84\) \(3.515\) None None \(0\) \(-21\) \(3\) \(-15\)
129.3.p.b \(96\) \(3.515\) None None \(0\) \(24\) \(-3\) \(18\)
129.4.a.a \(1\) \(7.611\) \(\Q\) None None \(-1\) \(3\) \(-2\) \(6\) \(-\) \(q-q^{2}+3q^{3}-7q^{4}-2q^{5}-3q^{6}+\cdots\)
129.4.a.b \(1\) \(7.611\) \(\Q\) None None \(4\) \(-3\) \(11\) \(9\) \(+\) \(q+4q^{2}-3q^{3}+8q^{4}+11q^{5}-12q^{6}+\cdots\)
129.4.a.c \(2\) \(7.611\) \(\Q(\sqrt{10}) \) None None \(-2\) \(6\) \(-14\) \(-38\) \(-\) \(q+(-1+\beta )q^{2}+3q^{3}+(3-2\beta )q^{4}+\cdots\)
129.4.a.d \(5\) \(7.611\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(-3\) \(-15\) \(-12\) \(-18\) \(-\) \(q+(-1+\beta _{1})q^{2}-3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
129.4.a.e \(5\) \(7.611\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(-3\) \(-15\) \(-3\) \(1\) \(+\) \(q+(-1+\beta _{1})q^{2}-3q^{3}+(5+\beta _{2}+\beta _{4})q^{4}+\cdots\)
129.4.a.f \(8\) \(7.611\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(1\) \(24\) \(4\) \(52\) \(+\) \(q+\beta _{1}q^{2}+3q^{3}+(7+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
129.4.d.a \(2\) \(7.611\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-8q^{4}+6\zeta_{6}q^{7}-3^{3}q^{9}+\cdots\)
129.4.d.b \(40\) \(7.611\) None None \(0\) \(0\) \(0\) \(0\)
129.4.e.a \(20\) \(7.611\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(2\) \(-30\) \(6\) \(24\) \(q+(\beta _{1}+\beta _{3})q^{2}-3\beta _{4}q^{3}+(3+\beta _{2})q^{4}+\cdots\)
129.4.e.b \(24\) \(7.611\) None None \(2\) \(36\) \(10\) \(30\)
129.4.h.a \(84\) \(7.611\) None None \(0\) \(-3\) \(0\) \(-24\)
129.4.i.a \(66\) \(7.611\) None None \(2\) \(-33\) \(12\) \(-118\)
129.4.i.b \(66\) \(7.611\) None None \(2\) \(33\) \(4\) \(-90\)
129.4.j.a \(12\) \(7.611\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{21}^{11}q^{3}+8\zeta_{21}^{5}q^{4}+(10\zeta_{21}^{2}+\cdots)q^{7}+\cdots\)
129.4.j.b \(240\) \(7.611\) None None \(0\) \(-7\) \(0\) \(0\)
129.4.m.a \(120\) \(7.611\) None None \(-2\) \(30\) \(-6\) \(74\)
129.4.m.b \(144\) \(7.611\) None None \(-2\) \(-36\) \(-10\) \(68\)
129.4.n.a \(504\) \(7.611\) None None \(0\) \(-11\) \(0\) \(-18\)
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