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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 41
6027.2.a.a \(1\) \(48.126\) \(\Q\) None \(-2\) \(-1\) \(4\) \(0\) \(+\) \(-\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots\)
6027.2.a.b \(1\) \(48.126\) \(\Q\) None \(-1\) \(-1\) \(-3\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}+3q^{8}+\cdots\)
6027.2.a.c \(1\) \(48.126\) \(\Q\) None \(-1\) \(-1\) \(3\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
6027.2.a.d \(1\) \(48.126\) \(\Q\) None \(-1\) \(1\) \(-2\) \(0\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}+3q^{8}+\cdots\)
6027.2.a.e \(1\) \(48.126\) \(\Q\) None \(0\) \(1\) \(2\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+2q^{5}+q^{9}+5q^{11}+\cdots\)
6027.2.a.f \(1\) \(48.126\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
6027.2.a.g \(1\) \(48.126\) \(\Q\) None \(2\) \(-1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}+4q^{11}+\cdots\)
6027.2.a.h \(1\) \(48.126\) \(\Q\) None \(2\) \(1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{9}+4q^{11}+\cdots\)
6027.2.a.i \(2\) \(48.126\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
6027.2.a.j \(2\) \(48.126\) \(\Q(\sqrt{17}) \) None \(-1\) \(-2\) \(3\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(2-\beta )q^{5}+\cdots\)
6027.2.a.k \(2\) \(48.126\) \(\Q(\sqrt{17}) \) None \(-1\) \(2\) \(-4\) \(0\) \(-\) \(-\) \(-\) \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-2q^{5}-\beta q^{6}+\cdots\)
6027.2.a.l \(2\) \(48.126\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4+\beta )q^{11}+\cdots\)
6027.2.a.m \(2\) \(48.126\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(0\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
6027.2.a.n \(2\) \(48.126\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4-\beta )q^{11}+\cdots\)
6027.2.a.o \(3\) \(48.126\) 3.3.148.1 None \(-1\) \(3\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6027.2.a.p \(3\) \(48.126\) 3.3.1620.1 None \(0\) \(-3\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}-\beta _{1}q^{5}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6027.2.a.q \(3\) \(48.126\) 3.3.1620.1 None \(0\) \(3\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+\beta _{1}q^{5}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6027.2.a.r \(3\) \(48.126\) 3.3.785.1 None \(1\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6027.2.a.s \(3\) \(48.126\) 3.3.316.1 None \(1\) \(3\) \(-4\) \(0\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
6027.2.a.t \(3\) \(48.126\) 3.3.785.1 None \(1\) \(3\) \(3\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6027.2.a.u \(4\) \(48.126\) 4.4.8468.1 None \(1\) \(4\) \(3\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
6027.2.a.v \(5\) \(48.126\) 5.5.981328.1 None \(-3\) \(5\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6027.2.a.w \(5\) \(48.126\) 5.5.626512.1 None \(3\) \(-5\) \(-3\) \(0\) \(+\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
6027.2.a.x \(5\) \(48.126\) 5.5.1197392.1 None \(3\) \(5\) \(9\) \(0\) \(-\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6027.2.a.y \(7\) \(48.126\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(4\) \(-7\) \(-1\) \(0\) \(+\) \(-\) \(+\) \(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6027.2.a.z \(8\) \(48.126\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(-8\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6027.2.a.ba \(8\) \(48.126\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(8\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)
6027.2.a.bb \(8\) \(48.126\) 8.8.7457527933.1 None \(1\) \(-8\) \(-7\) \(0\) \(+\) \(+\) \(+\) \(q+(1-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2+\beta _{6})q^{4}+\cdots\)
6027.2.a.bc \(8\) \(48.126\) 8.8.7457527933.1 None \(1\) \(8\) \(7\) \(0\) \(-\) \(-\) \(-\) \(q+(1-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2+\beta _{6})q^{4}+\cdots\)
6027.2.a.bd \(10\) \(48.126\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(-10\) \(-6\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.be \(10\) \(48.126\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(10\) \(6\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.bf \(12\) \(48.126\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-12\) \(-12\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.bg \(12\) \(48.126\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(12\) \(12\) \(0\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.bh \(13\) \(48.126\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(-13\) \(8\) \(0\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{8}+\cdots)q^{5}+\cdots\)
6027.2.a.bi \(13\) \(48.126\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(13\) \(-8\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{8}+\cdots)q^{5}+\cdots\)
6027.2.a.bj \(14\) \(48.126\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(-14\) \(10\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
6027.2.a.bk \(14\) \(48.126\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(14\) \(-10\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
6027.2.a.bl \(16\) \(48.126\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(-16\) \(12\) \(0\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{5}+\cdots)q^{5}+\cdots\)
6027.2.a.bm \(16\) \(48.126\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(16\) \(-12\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{5}+\cdots)q^{5}+\cdots\)
6027.2.a.bn \(24\) \(48.126\) None \(8\) \(-24\) \(-4\) \(0\) \(+\) \(+\) \(-\)
6027.2.a.bo \(24\) \(48.126\) None \(8\) \(24\) \(4\) \(0\) \(-\) \(+\) \(+\)


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