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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 5 17
8670.2.a.a \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(-1\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
8670.2.a.b \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(-1\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
8670.2.a.c \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
8670.2.a.d \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
8670.2.a.e \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-3\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
8670.2.a.f \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
8670.2.a.g \(1\) \(69.230\) \(\Q\) None \(-1\) \(-1\) \(1\) \(4\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
8670.2.a.h \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(-1\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-3q^{7}+\cdots\)
8670.2.a.i \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(-1\) \(3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
8670.2.a.j \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
8670.2.a.k \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
8670.2.a.l \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(1\) \(1\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
8670.2.a.m \(1\) \(69.230\) \(\Q\) None \(-1\) \(1\) \(1\) \(1\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
8670.2.a.n \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
8670.2.a.o \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
8670.2.a.p \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
8670.2.a.q \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
8670.2.a.r \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
8670.2.a.s \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
8670.2.a.t \(1\) \(69.230\) \(\Q\) None \(1\) \(-1\) \(1\) \(3\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
8670.2.a.u \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(-1\) \(-3\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots\)
8670.2.a.v \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
8670.2.a.w \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
8670.2.a.x \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(-1\) \(3\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
8670.2.a.y \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(1\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
8670.2.a.z \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(1\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
8670.2.a.ba \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(1\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
8670.2.a.bb \(1\) \(69.230\) \(\Q\) None \(1\) \(1\) \(1\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
8670.2.a.bc \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(-2\) \(4\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(2+2\beta )q^{7}+\cdots\)
8670.2.a.bd \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(-4\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
8670.2.a.be \(2\) \(69.230\) \(\Q(\sqrt{6}) \) None \(-2\) \(2\) \(-2\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
8670.2.a.bf \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(2+\beta )q^{7}+\cdots\)
8670.2.a.bg \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(2\) \(-4\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots\)
8670.2.a.bh \(2\) \(69.230\) \(\Q(\sqrt{13}) \) None \(2\) \(-2\) \(-2\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
8670.2.a.bi \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(2\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2\beta q^{7}+\cdots\)
8670.2.a.bj \(2\) \(69.230\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2\beta q^{7}+\cdots\)
8670.2.a.bk \(2\) \(69.230\) \(\Q(\sqrt{13}) \) None \(2\) \(2\) \(2\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
8670.2.a.bl \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-\beta _{1}q^{7}+\cdots\)
8670.2.a.bm \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(3\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+\beta _{1}q^{7}+\cdots\)
8670.2.a.bn \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(-3\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-\beta _{1}q^{7}+\cdots\)
8670.2.a.bo \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(3\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+\beta _{1}q^{7}+\cdots\)
8670.2.a.bp \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(-3\) \(6\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8670.2.a.bq \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(3\) \(6\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
8670.2.a.br \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(-3\) \(-6\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
8670.2.a.bs \(3\) \(69.230\) \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(3\) \(-6\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
8670.2.a.bt \(4\) \(69.230\) \(\Q(\zeta_{16})^+\) None \(-4\) \(-4\) \(4\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+\beta _{1}q^{7}+\cdots\)
8670.2.a.bu \(4\) \(69.230\) \(\Q(\zeta_{16})^+\) None \(-4\) \(-4\) \(4\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(\beta _{1}+\beta _{3})q^{7}+\cdots\)
8670.2.a.bv \(4\) \(69.230\) \(\Q(\zeta_{16})^+\) None \(-4\) \(4\) \(-4\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(\beta _{1}+\beta _{3})q^{7}+\cdots\)
8670.2.a.bw \(4\) \(69.230\) \(\Q(\zeta_{16})^+\) None \(-4\) \(4\) \(-4\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta _{1}q^{7}+\cdots\)
8670.2.a.bx \(4\) \(69.230\) 4.4.4352.1 None \(4\) \(-4\) \(-4\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
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