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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 19
7600.2.a.a \(1\) \(60.686\) \(\Q\) None \(0\) \(-3\) \(0\) \(-5\) \(-\) \(+\) \(+\) \(q-3q^{3}-5q^{7}+6q^{9}+4q^{11}+q^{13}+\cdots\)
7600.2.a.b \(1\) \(60.686\) \(\Q\) None \(0\) \(-2\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q-2q^{3}-3q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots\)
7600.2.a.c \(1\) \(60.686\) \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-2q^{3}-q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
7600.2.a.d \(1\) \(60.686\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots\)
7600.2.a.e \(1\) \(60.686\) \(\Q\) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q-2q^{3}+2q^{7}+q^{9}-4q^{11}-8q^{17}+\cdots\)
7600.2.a.f \(1\) \(60.686\) \(\Q\) None \(0\) \(-2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q-2q^{3}+4q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
7600.2.a.g \(1\) \(60.686\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{3}-q^{7}-2q^{9}+3q^{13}+7q^{17}+\cdots\)
7600.2.a.h \(1\) \(60.686\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(-\) \(+\) \(-\) \(q-q^{3}+3q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots\)
7600.2.a.i \(1\) \(60.686\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q-2q^{7}-3q^{9}+4q^{11}-2q^{13}+4q^{17}+\cdots\)
7600.2.a.j \(1\) \(60.686\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q-2q^{7}-3q^{9}+4q^{11}+4q^{13}-6q^{17}+\cdots\)
7600.2.a.k \(1\) \(60.686\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{9}+4q^{11}+6q^{13}+6q^{17}+q^{19}+\cdots\)
7600.2.a.l \(1\) \(60.686\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(-\) \(-\) \(+\) \(q+2q^{7}-3q^{9}+4q^{11}+2q^{13}-4q^{17}+\cdots\)
7600.2.a.m \(1\) \(60.686\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+q^{13}+3q^{17}+\cdots\)
7600.2.a.n \(1\) \(60.686\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+6q^{11}-5q^{13}+\cdots\)
7600.2.a.o \(1\) \(60.686\) \(\Q\) None \(0\) \(1\) \(0\) \(3\) \(+\) \(+\) \(+\) \(q+q^{3}+3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots\)
7600.2.a.p \(1\) \(60.686\) \(\Q\) None \(0\) \(2\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q+2q^{3}-3q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
7600.2.a.q \(1\) \(60.686\) \(\Q\) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(q+2q^{3}-2q^{7}+q^{9}-4q^{11}+8q^{17}+\cdots\)
7600.2.a.r \(1\) \(60.686\) \(\Q\) None \(0\) \(2\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+2q^{3}+2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
7600.2.a.s \(1\) \(60.686\) \(\Q\) None \(0\) \(2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+2q^{3}+4q^{7}+q^{9}+4q^{11}-6q^{17}+\cdots\)
7600.2.a.t \(1\) \(60.686\) \(\Q\) None \(0\) \(3\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q+3q^{3}-q^{7}+6q^{9}-4q^{11}-q^{13}+\cdots\)
7600.2.a.u \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(-4\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q+(-2+\beta )q^{3}+(-2-2\beta )q^{7}+(3-4\beta )q^{9}+\cdots\)
7600.2.a.v \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(-6\) \(-\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+(-3-\beta )q^{7}-2\beta q^{9}+\cdots\)
7600.2.a.w \(2\) \(60.686\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+(-1-\beta )q^{3}+2\beta q^{7}+(3+2\beta )q^{9}+\cdots\)
7600.2.a.x \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+(1-\beta )q^{7}-2\beta q^{9}+\cdots\)
7600.2.a.y \(2\) \(60.686\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
7600.2.a.z \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-4\) \(+\) \(-\) \(-\) \(q+\beta q^{3}+(-2+2\beta )q^{7}-q^{9}+(-2+\cdots)q^{11}+\cdots\)
7600.2.a.ba \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+2\beta q^{7}-q^{9}+(-2-2\beta )q^{11}+\cdots\)
7600.2.a.bb \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(4\) \(+\) \(-\) \(-\) \(q+\beta q^{3}+(2+2\beta )q^{7}-q^{9}+(-2-2\beta )q^{11}+\cdots\)
7600.2.a.bc \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(q+(1+\beta )q^{3}+(-1-\beta )q^{7}+2\beta q^{9}+\cdots\)
7600.2.a.bd \(2\) \(60.686\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+(1+\beta )q^{3}+(1+2\beta )q^{9}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
7600.2.a.be \(2\) \(60.686\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}-2\beta q^{7}+(3+2\beta )q^{9}+(1+\cdots)q^{13}+\cdots\)
7600.2.a.bf \(2\) \(60.686\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}+2q^{7}+(1+2\beta )q^{9}+2\beta q^{11}+\cdots\)
7600.2.a.bg \(2\) \(60.686\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(6\) \(-\) \(-\) \(-\) \(q+(1+\beta )q^{3}+(3-\beta )q^{7}+2\beta q^{9}-\beta q^{11}+\cdots\)
7600.2.a.bh \(3\) \(60.686\) 3.3.169.1 None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
7600.2.a.bi \(3\) \(60.686\) 3.3.568.1 None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bj \(3\) \(60.686\) 3.3.257.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
7600.2.a.bk \(3\) \(60.686\) 3.3.993.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bl \(3\) \(60.686\) 3.3.321.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{3}+(-1+2\beta _{1}+\beta _{2})q^{7}+\cdots\)
7600.2.a.bm \(3\) \(60.686\) 3.3.257.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1+\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
7600.2.a.bn \(3\) \(60.686\) \(\Q(\zeta_{14})^+\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+(-1-\beta _{2})q^{3}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
7600.2.a.bo \(3\) \(60.686\) 3.3.568.1 None \(0\) \(-1\) \(0\) \(-5\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{3}+(-2-\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.bp \(3\) \(60.686\) 3.3.316.1 None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{3}+(-1+2\beta _{1}-\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots\)
7600.2.a.bq \(3\) \(60.686\) 3.3.229.1 None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q+\beta _{2}q^{3}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+(-2+\cdots)q^{13}+\cdots\)
7600.2.a.br \(3\) \(60.686\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}+(-\beta _{1}+2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
7600.2.a.bs \(3\) \(60.686\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{3}+(\beta _{1}-2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
7600.2.a.bt \(3\) \(60.686\) 3.3.257.1 None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{2}q^{3}+\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
7600.2.a.bu \(3\) \(60.686\) 3.3.257.1 None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+\beta _{2}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
7600.2.a.bv \(3\) \(60.686\) 3.3.961.1 None \(0\) \(1\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{3}+(2-\beta _{1}+\beta _{2})q^{7}+(5-\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.bw \(3\) \(60.686\) \(\Q(\zeta_{14})^+\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+(1-\beta _{1})q^{3}+(1-\beta _{1}+2\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.bx \(3\) \(60.686\) 3.3.148.1 None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+(1-\beta _{1})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
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