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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 7
5600.2.a.a \(1\) \(44.716\) \(\Q\) None \(0\) \(-3\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-3q^{3}-q^{7}+6q^{9}+q^{11}+q^{13}+\cdots\)
5600.2.a.b \(1\) \(44.716\) \(\Q\) None \(0\) \(-3\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-3q^{3}-q^{7}+6q^{9}+3q^{11}-q^{13}+\cdots\)
5600.2.a.c \(1\) \(44.716\) \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-2q^{3}-q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
5600.2.a.d \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
5600.2.a.e \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}+q^{7}-2q^{9}-3q^{11}+7q^{13}+\cdots\)
5600.2.a.f \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{7}-2q^{9}-q^{11}-3q^{13}+\cdots\)
5600.2.a.g \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{7}-2q^{9}-q^{11}+q^{13}-q^{17}+\cdots\)
5600.2.a.h \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}+q^{7}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
5600.2.a.i \(1\) \(44.716\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{7}-2q^{9}+5q^{11}-5q^{13}+\cdots\)
5600.2.a.j \(1\) \(44.716\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{7}-3q^{9}+2q^{13}-2q^{17}+8q^{19}+\cdots\)
5600.2.a.k \(1\) \(44.716\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{7}-3q^{9}+4q^{11}-2q^{13}-6q^{17}+\cdots\)
5600.2.a.l \(1\) \(44.716\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+q^{7}-3q^{9}-4q^{11}-2q^{13}-6q^{17}+\cdots\)
5600.2.a.m \(1\) \(44.716\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+q^{7}-3q^{9}+2q^{13}-2q^{17}-8q^{19}+\cdots\)
5600.2.a.n \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}-5q^{11}-5q^{13}+\cdots\)
5600.2.a.o \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
5600.2.a.p \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+q^{11}-3q^{13}+\cdots\)
5600.2.a.q \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+q^{11}+q^{13}-q^{17}+\cdots\)
5600.2.a.r \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+3q^{11}+2q^{13}+\cdots\)
5600.2.a.s \(1\) \(44.716\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{7}-2q^{9}+3q^{11}+7q^{13}+\cdots\)
5600.2.a.t \(1\) \(44.716\) \(\Q\) None \(0\) \(2\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q+2q^{3}+q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
5600.2.a.u \(1\) \(44.716\) \(\Q\) None \(0\) \(3\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+3q^{3}+q^{7}+6q^{9}-3q^{11}-q^{13}+\cdots\)
5600.2.a.v \(1\) \(44.716\) \(\Q\) None \(0\) \(3\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+3q^{3}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
5600.2.a.w \(2\) \(44.716\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q-q^{3}-q^{7}-2q^{9}-\beta q^{11}+\beta q^{13}+\cdots\)
5600.2.a.x \(2\) \(44.716\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+q^{7}+(1-2\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
5600.2.a.y \(2\) \(44.716\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{3}+q^{7}+(1-2\beta )q^{9}+(2+\cdots)q^{11}+\cdots\)
5600.2.a.z \(2\) \(44.716\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(+\) \(-\) \(q+(-1-\beta )q^{3}+q^{7}+(3+2\beta )q^{9}+(2+\cdots)q^{11}+\cdots\)
5600.2.a.ba \(2\) \(44.716\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q-\beta q^{3}+q^{7}+(1+\beta )q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
5600.2.a.bb \(2\) \(44.716\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(-\) \(q-\beta q^{3}+q^{7}+(1+\beta )q^{9}+(4-\beta )q^{11}+\cdots\)
5600.2.a.bc \(2\) \(44.716\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+\beta q^{3}-q^{7}+3q^{9}+(-1-\beta )q^{11}+\cdots\)
5600.2.a.bd \(2\) \(44.716\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+\beta q^{3}-q^{7}+3q^{9}+(1+\beta )q^{11}+(4+\cdots)q^{13}+\cdots\)
5600.2.a.be \(2\) \(44.716\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+q^{7}+3q^{9}+(-1+\beta )q^{11}+\cdots\)
5600.2.a.bf \(2\) \(44.716\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+\beta q^{3}+q^{7}+3q^{9}+(1-\beta )q^{11}+(-4+\cdots)q^{13}+\cdots\)
5600.2.a.bg \(2\) \(44.716\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q+\beta q^{3}-q^{7}+(1+\beta )q^{9}+(-4+\beta )q^{11}+\cdots\)
5600.2.a.bh \(2\) \(44.716\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q+\beta q^{3}-q^{7}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
5600.2.a.bi \(2\) \(44.716\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}-q^{7}+(1+2\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
5600.2.a.bj \(2\) \(44.716\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}-q^{7}+(1+2\beta )q^{9}+(2-\beta )q^{11}+\cdots\)
5600.2.a.bk \(2\) \(44.716\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}-q^{7}+(3+2\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
5600.2.a.bl \(2\) \(44.716\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{7}-2q^{9}+\beta q^{11}+\beta q^{13}+\cdots\)
5600.2.a.bm \(3\) \(44.716\) 3.3.1016.1 None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}-q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(-3+\cdots)q^{11}+\cdots\)
5600.2.a.bn \(3\) \(44.716\) 3.3.1016.1 None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{3}-q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(3+\cdots)q^{11}+\cdots\)
5600.2.a.bo \(3\) \(44.716\) 3.3.1016.1 None \(0\) \(1\) \(0\) \(3\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{3}+q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(-3+\cdots)q^{11}+\cdots\)
5600.2.a.bp \(3\) \(44.716\) 3.3.1016.1 None \(0\) \(1\) \(0\) \(3\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(3+\cdots)q^{11}+\cdots\)
5600.2.a.bq \(4\) \(44.716\) 4.4.48396.1 None \(0\) \(-2\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{3}-q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
5600.2.a.br \(4\) \(44.716\) 4.4.48396.1 None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{3}-q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
5600.2.a.bs \(4\) \(44.716\) 4.4.48396.1 None \(0\) \(2\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
5600.2.a.bt \(4\) \(44.716\) 4.4.48396.1 None \(0\) \(2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{3}+q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
5600.2.a.bu \(5\) \(44.716\) 5.5.504568.1 None \(0\) \(-2\) \(0\) \(5\) \(+\) \(-\) \(-\) \(q-\beta _{2}q^{3}+q^{7}+(1+\beta _{2}+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
5600.2.a.bv \(5\) \(44.716\) 5.5.504568.1 None \(0\) \(-2\) \(0\) \(5\) \(-\) \(-\) \(-\) \(q-\beta _{2}q^{3}+q^{7}+(1+\beta _{2}+\beta _{3})q^{9}+(1+\cdots)q^{11}+\cdots\)
5600.2.a.bw \(5\) \(44.716\) 5.5.504568.1 None \(0\) \(2\) \(0\) \(-5\) \(-\) \(-\) \(+\) \(q+\beta _{2}q^{3}-q^{7}+(1+\beta _{2}+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
5600.2.a.bx \(5\) \(44.716\) 5.5.504568.1 None \(0\) \(2\) \(0\) \(-5\) \(+\) \(-\) \(+\) \(q+\beta _{2}q^{3}-q^{7}+(1+\beta _{2}+\beta _{3})q^{9}+(1+\cdots)q^{11}+\cdots\)
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