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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 7
4704.2.a.c \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{5}+q^{9}-2q^{13}+2q^{15}+\cdots\)
4704.2.a.d \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{5}+q^{9}+2q^{11}+2q^{15}+\cdots\)
4704.2.a.f \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-q^{5}+q^{9}-q^{11}+q^{15}+8q^{17}+\cdots\)
4704.2.a.g \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-2q^{11}+q^{13}-2q^{17}+\cdots\)
4704.2.a.h \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-2q^{11}+5q^{13}-2q^{17}+\cdots\)
4704.2.a.j \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{9}+2q^{11}-q^{13}+2q^{17}+\cdots\)
4704.2.a.k \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{9}+2q^{11}+2q^{13}-4q^{17}+\cdots\)
4704.2.a.m \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(2\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4704.2.a.o \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(3\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+3q^{5}+q^{9}+q^{11}-4q^{13}+\cdots\)
4704.2.a.p \(1\) \(37.562\) \(\Q\) None \(0\) \(-1\) \(4\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}+4q^{5}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4704.2.a.r \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(-4\) \(0\) \(-\) \(-\) \(+\) \(q+q^{3}-4q^{5}+q^{9}-6q^{11}+5q^{13}+\cdots\)
4704.2.a.s \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(-3\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}-3q^{5}+q^{9}+q^{11}+4q^{13}+\cdots\)
4704.2.a.u \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(-2\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}-2q^{5}+q^{9}-2q^{11}-2q^{15}+\cdots\)
4704.2.a.x \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{9}-2q^{11}-5q^{13}+2q^{17}+\cdots\)
4704.2.a.y \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{9}-2q^{11}-q^{13}+2q^{17}+\cdots\)
4704.2.a.z \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{9}-2q^{11}+2q^{13}-4q^{17}+\cdots\)
4704.2.a.ba \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{9}+2q^{11}+q^{13}-2q^{17}+\cdots\)
4704.2.a.bc \(1\) \(37.562\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}+q^{9}-q^{11}+q^{15}-8q^{17}+\cdots\)
4704.2.a.bi \(2\) \(37.562\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}+\beta q^{5}+q^{9}+\beta q^{11}-\beta q^{15}+\cdots\)
4704.2.a.bj \(2\) \(37.562\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+\beta q^{5}+q^{9}-2\beta q^{11}+\beta q^{13}+\cdots\)
4704.2.a.bn \(2\) \(37.562\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+\beta q^{5}+q^{9}+(-2-\beta )q^{11}+\cdots\)
4704.2.a.bo \(2\) \(37.562\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+q^{3}+\beta q^{5}+q^{9}-2\beta q^{11}-3\beta q^{13}+\cdots\)
4704.2.a.bp \(2\) \(37.562\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{9}-\beta q^{11}+\beta q^{13}+\beta q^{17}+\cdots\)
4704.2.a.bw \(4\) \(37.562\) 4.4.2624.1 None \(0\) \(-4\) \(-4\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+(-1+\beta _{3})q^{5}+q^{9}+(1-\beta _{2}+\cdots)q^{11}+\cdots\)
4704.2.a.by \(4\) \(37.562\) 4.4.2624.1 None \(0\) \(4\) \(-4\) \(0\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1+\beta _{3})q^{5}+q^{9}+(-1+\beta _{2}+\cdots)q^{11}+\cdots\)
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