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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
6001.2.a.a \(113\) \(47.918\) None \(-11\) \(-11\) \(-19\) \(11\) \(+\)
6001.2.a.b \(114\) \(47.918\) None \(-8\) \(-23\) \(-27\) \(-53\) \(+\)
6001.2.a.c \(121\) \(47.918\) None \(9\) \(13\) \(21\) \(-13\) \(-\)
6001.2.a.d \(121\) \(47.918\) None \(9\) \(21\) \(27\) \(39\) \(-\)
6002.2.a.a \(47\) \(47.926\) None \(47\) \(-13\) \(-14\) \(-17\) \(+\)
6002.2.a.b \(56\) \(47.926\) None \(-56\) \(-11\) \(0\) \(-21\) \(+\)
6002.2.a.c \(69\) \(47.926\) None \(-69\) \(11\) \(-2\) \(23\) \(-\)
6002.2.a.d \(79\) \(47.926\) None \(79\) \(17\) \(18\) \(19\) \(-\)
6003.2.a.a \(1\) \(47.934\) \(\Q\) None \(0\) \(0\) \(-4\) \(-4\) \(+\) \(q-2q^{4}-4q^{5}-4q^{7}-4q^{11}-5q^{13}+\cdots\)
6003.2.a.b \(1\) \(47.934\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-2q^{4}+4q^{11}+3q^{13}+4q^{16}-3q^{17}+\cdots\)
6003.2.a.c \(1\) \(47.934\) \(\Q\) None \(1\) \(0\) \(-3\) \(0\) \(+\) \(q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots\)
6003.2.a.d \(2\) \(47.934\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(3\) \(0\) \(+\) \(q-q^{2}-q^{4}+(1+\beta )q^{5}+3q^{8}+(-1+\cdots)q^{10}+\cdots\)
6003.2.a.e \(2\) \(47.934\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-4\) \(+\) \(q-2q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{13}+\cdots\)
6003.2.a.f \(2\) \(47.934\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(4\) \(0\) \(+\) \(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
6003.2.a.g \(4\) \(47.934\) 4.4.5744.1 None \(0\) \(0\) \(2\) \(-2\) \(-\) \(q-2q^{4}+\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
6003.2.a.h \(5\) \(47.934\) 5.5.312617.1 None \(2\) \(0\) \(3\) \(-5\) \(-\) \(q+\beta _{3}q^{2}+(2-\beta _{1})q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
6003.2.a.i \(7\) \(47.934\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(1\) \(0\) \(5\) \(-5\) \(+\) \(q+\beta _{3}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots\)
6003.2.a.j \(7\) \(47.934\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(0\) \(3\) \(-5\) \(+\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6003.2.a.k \(10\) \(47.934\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-3\) \(0\) \(-6\) \(3\) \(+\) \(q-\beta _{3}q^{2}+(2+\beta _{6})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
6003.2.a.l \(10\) \(47.934\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(3\) \(0\) \(10\) \(1\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{7})q^{5}+\cdots\)
6003.2.a.m \(11\) \(47.934\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-2\) \(0\) \(-2\) \(3\) \(+\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}-\beta _{6}q^{7}+\cdots\)
6003.2.a.n \(12\) \(47.934\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(3\) \(0\) \(16\) \(-7\) \(-\) \(q+\beta _{1}q^{2}+(1-\beta _{4}-\beta _{6}+\beta _{8})q^{4}+(1+\cdots)q^{5}+\cdots\)
6003.2.a.o \(13\) \(47.934\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-16\) \(1\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{8})q^{5}+\cdots\)
6003.2.a.p \(14\) \(47.934\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(2\) \(0\) \(3\) \(-3\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
6003.2.a.q \(16\) \(47.934\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-3\) \(0\) \(-16\) \(1\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6003.2.a.r \(16\) \(47.934\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(1\) \(0\) \(-3\) \(13\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{8}q^{5}+(1-\beta _{10}+\cdots)q^{7}+\cdots\)
6003.2.a.s \(20\) \(47.934\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-2\) \(0\) \(1\) \(9\) \(-\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}-\beta _{14}q^{7}+\cdots\)
6003.2.a.t \(22\) \(47.934\) None \(-3\) \(0\) \(0\) \(-6\) \(+\)
6003.2.a.u \(22\) \(47.934\) None \(3\) \(0\) \(0\) \(-6\) \(+\)
6003.2.a.v \(30\) \(47.934\) None \(-1\) \(0\) \(0\) \(10\) \(-\)
6003.2.a.w \(30\) \(47.934\) None \(1\) \(0\) \(0\) \(10\) \(-\)
6004.2.a.a \(1\) \(47.942\) \(\Q\) None \(0\) \(-2\) \(-1\) \(-5\) \(+\) \(q-2q^{3}-q^{5}-5q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
6004.2.a.b \(1\) \(47.942\) \(\Q\) None \(0\) \(0\) \(1\) \(-4\) \(-\) \(q+q^{5}-4q^{7}-3q^{9}+2q^{11}-4q^{13}+\cdots\)
6004.2.a.c \(1\) \(47.942\) \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) \(-\) \(q+q^{3}-3q^{5}-q^{7}-2q^{9}+5q^{13}+\cdots\)
6004.2.a.d \(8\) \(47.942\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(4\) \(1\) \(-\) \(q+\beta _{1}q^{5}-\beta _{4}q^{7}-3q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
6004.2.a.e \(24\) \(47.942\) None \(0\) \(1\) \(9\) \(2\) \(-\)
6004.2.a.f \(25\) \(47.942\) None \(0\) \(4\) \(-8\) \(2\) \(+\)
6004.2.a.g \(27\) \(47.942\) None \(0\) \(-4\) \(-10\) \(-8\) \(+\)
6004.2.a.h \(31\) \(47.942\) None \(0\) \(-4\) \(10\) \(11\) \(-\)
6005.2.a.a \(1\) \(47.950\) \(\Q\) None \(-2\) \(-2\) \(1\) \(-2\) \(-\) \(q-2q^{2}-2q^{3}+2q^{4}+q^{5}+4q^{6}+\cdots\)
6005.2.a.b \(1\) \(47.950\) \(\Q\) None \(-1\) \(0\) \(1\) \(4\) \(-\) \(q-q^{2}-q^{4}+q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
6005.2.a.c \(4\) \(47.950\) 4.4.2777.1 None \(2\) \(-2\) \(-4\) \(-7\) \(+\) \(q+(1-\beta _{3})q^{2}+(-1-\beta _{2}+\beta _{3})q^{3}+\cdots\)
6005.2.a.d \(83\) \(47.950\) None \(1\) \(-4\) \(-83\) \(2\) \(+\)
6005.2.a.e \(88\) \(47.950\) None \(-14\) \(-34\) \(88\) \(-35\) \(+\)
6005.2.a.f \(111\) \(47.950\) None \(20\) \(40\) \(111\) \(39\) \(-\)
6005.2.a.g \(113\) \(47.950\) None \(-3\) \(6\) \(-113\) \(7\) \(-\)
6006.2.a.a \(1\) \(47.958\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(-1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.b \(1\) \(47.958\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(-1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.c \(1\) \(47.958\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
6006.2.a.d \(1\) \(47.958\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
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