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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 19 53
6042.2.a.b \(1\) \(48.246\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(-3\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots\)
6042.2.a.c \(1\) \(48.246\) \(\Q\) None \(-1\) \(-1\) \(2\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
6042.2.a.d \(1\) \(48.246\) \(\Q\) None \(-1\) \(-1\) \(2\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
6042.2.a.e \(1\) \(48.246\) \(\Q\) None \(-1\) \(1\) \(-3\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots\)
6042.2.a.h \(1\) \(48.246\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
6042.2.a.i \(1\) \(48.246\) \(\Q\) None \(-1\) \(1\) \(3\) \(2\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+2q^{7}+\cdots\)
6042.2.a.j \(1\) \(48.246\) \(\Q\) None \(1\) \(-1\) \(2\) \(-4\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots\)
6042.2.a.l \(1\) \(48.246\) \(\Q\) None \(1\) \(1\) \(2\) \(1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
6042.2.a.m \(1\) \(48.246\) \(\Q\) None \(1\) \(1\) \(2\) \(4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots\)
6042.2.a.n \(1\) \(48.246\) \(\Q\) None \(1\) \(1\) \(3\) \(-1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
6042.2.a.q \(3\) \(48.246\) 3.3.257.1 None \(-3\) \(-3\) \(-3\) \(-1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots\)
6042.2.a.r \(3\) \(48.246\) 3.3.788.1 None \(3\) \(-3\) \(2\) \(6\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}-q^{6}+\cdots\)
6042.2.a.t \(4\) \(48.246\) 4.4.17609.1 None \(4\) \(-4\) \(6\) \(3\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(2-\beta _{3})q^{5}-q^{6}+\cdots\)
6042.2.a.u \(5\) \(48.246\) 5.5.14377697.1 None \(5\) \(-5\) \(2\) \(2\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{2}q^{7}+\cdots\)
6042.2.a.w \(6\) \(48.246\) 6.6.326108912.1 None \(6\) \(-6\) \(-1\) \(1\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+\beta _{3}q^{5}-q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
6042.2.a.z \(9\) \(48.246\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-9\) \(-1\) \(4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+\beta _{6}q^{5}+q^{6}-\beta _{3}q^{7}+\cdots\)
6042.2.a.ba \(9\) \(48.246\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(9\) \(2\) \(10\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}+\beta _{6}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots\)
6042.2.a.bf \(12\) \(48.246\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(12\) \(-7\) \(5\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
6042.2.a.bg \(12\) \(48.246\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(12\) \(5\) \(6\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
6042.2.a.bh \(13\) \(48.246\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(13\) \(3\) \(12\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)


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