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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 13
5070.2.a.a \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.b \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.c \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.d \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.e \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.f \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.g \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.h \(1\) \(40.484\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.i \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(-1\) \(-5\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-5q^{7}+\cdots\)
5070.2.a.j \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(-1\) \(2\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.k \(1\) \(40.484\) \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
5070.2.a.l \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.m \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.n \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.o \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.p \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.q \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.r \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.s \(1\) \(40.484\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.t \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(-1\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.u \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(-4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots\)
5070.2.a.v \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.w \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
5070.2.a.x \(1\) \(40.484\) \(\Q\) None \(1\) \(1\) \(1\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots\)
5070.2.a.y \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(-2\) \(-4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.z \(2\) \(40.484\) \(\Q(\sqrt{13}) \) None \(-2\) \(-2\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.ba \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(-6\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
5070.2.a.bb \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(-2\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bc \(2\) \(40.484\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
5070.2.a.bd \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(2\) \(2\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.be \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(6\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
5070.2.a.bf \(2\) \(40.484\) \(\Q(\sqrt{13}) \) None \(2\) \(-2\) \(2\) \(2\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bg \(2\) \(40.484\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.bh \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(-2\) \(-2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bi \(2\) \(40.484\) \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(2\) \(3\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bj \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bk \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bl \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bm \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bn \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bo \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(10\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(3+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bp \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(-6\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bq \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(6\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.br \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bs \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bt \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bu \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bv \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(-6\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bw \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(6\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bx \(3\) \(40.484\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(3\) \(-10\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-3+\cdots)q^{7}+\cdots\)
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