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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
7524.2.a.a \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) \(+\) \(q-2q^{5}-4q^{7}-q^{11}+q^{13}+3q^{17}+\cdots\)
7524.2.a.b \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-2q^{5}-q^{11}+4q^{13}+2q^{17}+q^{19}+\cdots\)
7524.2.a.c \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+q^{11}-2q^{13}+4q^{17}+q^{19}+\cdots\)
7524.2.a.d \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-q^{11}+2q^{13}+4q^{17}-q^{19}-4q^{23}+\cdots\)
7524.2.a.e \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+q^{11}+2q^{13}-4q^{17}-q^{19}+4q^{23}+\cdots\)
7524.2.a.f \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}+q^{11}+5q^{13}-3q^{17}+q^{19}+\cdots\)
7524.2.a.g \(1\) \(60.079\) \(\Q\) None \(0\) \(0\) \(2\) \(-4\) \(-\) \(q+2q^{5}-4q^{7}+q^{11}+q^{13}-3q^{17}+\cdots\)
7524.2.a.h \(2\) \(60.079\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+q^{5}+\beta q^{7}-q^{11}-\beta q^{13}-\beta q^{17}+\cdots\)
7524.2.a.i \(3\) \(60.079\) 3.3.321.1 None \(0\) \(0\) \(-1\) \(-5\) \(+\) \(q+\beta _{2}q^{5}+(-2+\beta _{1})q^{7}+q^{11}+(1+\cdots)q^{13}+\cdots\)
7524.2.a.j \(3\) \(60.079\) 3.3.993.1 None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-\beta _{1}q^{5}-\beta _{2}q^{7}-q^{11}+(-1-\beta _{1}+\cdots)q^{13}+\cdots\)
7524.2.a.k \(3\) \(60.079\) 3.3.785.1 None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-\beta _{2}q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+q^{11}+\cdots\)
7524.2.a.l \(3\) \(60.079\) \(\Q(\zeta_{14})^+\) None \(0\) \(0\) \(3\) \(-3\) \(-\) \(q+(1+\beta _{1}+\beta _{2})q^{5}+(-\beta _{1}+2\beta _{2})q^{7}+\cdots\)
7524.2.a.m \(3\) \(60.079\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(3\) \(-3\) \(-\) \(q+(1+\beta _{1})q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}+\cdots\)
7524.2.a.n \(4\) \(60.079\) 4.4.171777.1 None \(0\) \(0\) \(-1\) \(5\) \(+\) \(q-\beta _{3}q^{5}+(1+\beta _{1})q^{7}-q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
7524.2.a.o \(4\) \(60.079\) 4.4.23665.1 None \(0\) \(0\) \(3\) \(3\) \(-\) \(q+(1-\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{7}+\cdots\)
7524.2.a.p \(4\) \(60.079\) 4.4.161473.1 None \(0\) \(0\) \(3\) \(3\) \(-\) \(q+(1-\beta _{1})q^{5}+(1+\beta _{3})q^{7}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
7524.2.a.q \(6\) \(60.079\) 6.6.744786576.1 None \(0\) \(0\) \(-5\) \(-2\) \(-\) \(q+(-1-\beta _{5})q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
7524.2.a.r \(6\) \(60.079\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(0\) \(2\) \(-\) \(q+\beta _{5}q^{5}+\beta _{4}q^{7}-q^{11}+\beta _{3}q^{13}+\cdots\)
7524.2.a.s \(7\) \(60.079\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(-4\) \(-2\) \(+\) \(q+(-1+\beta _{3})q^{5}-\beta _{6}q^{7}+q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
7524.2.a.t \(7\) \(60.079\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(-2\) \(6\) \(+\) \(q+\beta _{5}q^{5}+(1-\beta _{1})q^{7}-q^{11}+\beta _{6}q^{13}+\cdots\)
7524.2.a.u \(7\) \(60.079\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(2\) \(6\) \(-\) \(q-\beta _{5}q^{5}+(1-\beta _{1})q^{7}+q^{11}+\beta _{6}q^{13}+\cdots\)
7524.2.a.v \(7\) \(60.079\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(4\) \(-2\) \(-\) \(q+(1-\beta _{3})q^{5}-\beta _{6}q^{7}-q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
7524.2.c.a \(72\) \(60.079\) None \(0\) \(0\) \(0\) \(0\)
7524.2.f.a \(64\) \(60.079\) None \(0\) \(0\) \(0\) \(0\)
7524.2.l.a \(4\) \(60.079\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(2\) \(0\) \(q+(-\beta _{1}-\beta _{3})q^{5}+(-\beta _{1}-2\beta _{2}+\beta _{3})q^{7}+\cdots\)
7524.2.l.b \(8\) \(60.079\) 8.0.\(\cdots\).6 \(\Q(\sqrt{-627}) \) \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{11}-\beta _{1}q^{13}+\beta _{3}q^{17}-\beta _{4}q^{19}+\cdots\)
7524.2.l.c \(8\) \(60.079\) 8.0.2702336256.1 \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{5}+\beta _{7})q^{5}+(\beta _{3}-\beta _{4})q^{7}+(\beta _{2}-\beta _{5}+\cdots)q^{11}+\cdots\)
7524.2.l.d \(16\) \(60.079\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{2}q^{5}+(\beta _{9}-\beta _{12})q^{7}+(-\beta _{3}-\beta _{9}+\cdots)q^{11}+\cdots\)
7524.2.l.e \(24\) \(60.079\) None \(0\) \(0\) \(0\) \(0\)
7524.2.l.f \(40\) \(60.079\) None \(0\) \(0\) \(4\) \(0\)


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