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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 19
8550.2.a.a \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}-4q^{7}-q^{8}-4q^{11}+4q^{14}+\cdots\)
8550.2.a.b \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}-4q^{7}-q^{8}-2q^{13}+4q^{14}+\cdots\)
8550.2.a.c \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{4}-4q^{7}-q^{8}+q^{11}+4q^{14}+\cdots\)
8550.2.a.d \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}-3q^{11}-2q^{13}+\cdots\)
8550.2.a.e \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}-2q^{13}+2q^{14}+\cdots\)
8550.2.a.f \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-6q^{13}+\cdots\)
8550.2.a.g \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}+6q^{11}+2q^{14}+\cdots\)
8550.2.a.h \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{4}-q^{8}-q^{11}-4q^{13}+q^{16}+\cdots\)
8550.2.a.i \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-q^{8}+2q^{11}+4q^{13}+\cdots\)
8550.2.a.j \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{4}-q^{8}+4q^{11}-4q^{13}+\cdots\)
8550.2.a.k \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{4}-q^{8}+4q^{11}+2q^{13}+\cdots\)
8550.2.a.l \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(1\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{13}-q^{14}+\cdots\)
8550.2.a.m \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(1\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+q^{7}-q^{8}+6q^{11}-5q^{13}+\cdots\)
8550.2.a.n \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+2q^{7}-q^{8}-4q^{11}+6q^{13}+\cdots\)
8550.2.a.o \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+2q^{7}-q^{8}+2q^{11}-2q^{14}+\cdots\)
8550.2.a.p \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+2q^{7}-q^{8}+2q^{11}+4q^{13}+\cdots\)
8550.2.a.q \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(4\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+4q^{7}-q^{8}-6q^{11}-4q^{14}+\cdots\)
8550.2.a.r \(1\) \(68.272\) \(\Q\) None \(-1\) \(0\) \(0\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}+4q^{7}-q^{8}+4q^{11}+6q^{13}+\cdots\)
8550.2.a.s \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}-4q^{7}+q^{8}+6q^{13}-4q^{14}+\cdots\)
8550.2.a.t \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}-4q^{7}+q^{8}+4q^{11}+2q^{13}+\cdots\)
8550.2.a.u \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}-3q^{7}+q^{8}-2q^{11}+q^{13}+\cdots\)
8550.2.a.v \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}-6q^{11}+4q^{13}+\cdots\)
8550.2.a.w \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}+4q^{11}-6q^{13}+\cdots\)
8550.2.a.x \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+q^{8}-4q^{11}-2q^{13}+\cdots\)
8550.2.a.y \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}+q^{4}+q^{8}-2q^{11}+4q^{13}+\cdots\)
8550.2.a.z \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+q^{8}-q^{11}+4q^{13}+q^{16}+\cdots\)
8550.2.a.ba \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+q^{8}+4q^{11}-2q^{13}+\cdots\)
8550.2.a.bb \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}+q^{8}+4q^{11}-2q^{13}+\cdots\)
8550.2.a.bc \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}+q^{8}+4q^{11}+4q^{13}+\cdots\)
8550.2.a.bd \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{13}+q^{14}+\cdots\)
8550.2.a.be \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{11}+2q^{13}+\cdots\)
8550.2.a.bf \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}-4q^{13}+\cdots\)
8550.2.a.bg \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}+4q^{13}+\cdots\)
8550.2.a.bh \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-6q^{13}+2q^{14}+\cdots\)
8550.2.a.bi \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}+3q^{11}+6q^{13}+\cdots\)
8550.2.a.bj \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+4q^{7}+q^{8}+4q^{13}+4q^{14}+\cdots\)
8550.2.a.bk \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+4q^{7}+q^{8}+q^{11}+4q^{14}+\cdots\)
8550.2.a.bl \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(4\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}+q^{4}+4q^{7}+q^{8}+6q^{11}+4q^{14}+\cdots\)
8550.2.a.bm \(1\) \(68.272\) \(\Q\) None \(1\) \(0\) \(0\) \(5\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+5q^{7}+q^{8}+4q^{11}+q^{13}+\cdots\)
8550.2.a.bn \(2\) \(68.272\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(-6\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{4}+(-3+\beta )q^{7}-q^{8}-\beta q^{11}+\cdots\)
8550.2.a.bo \(2\) \(68.272\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
8550.2.a.bp \(2\) \(68.272\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+(-1-\beta )q^{7}-q^{8}+2q^{11}+\cdots\)
8550.2.a.bq \(2\) \(68.272\) \(\Q(\sqrt{10}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}+\beta q^{7}-q^{8}+(-1-\beta )q^{11}+\cdots\)
8550.2.a.br \(2\) \(68.272\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(0\) \(1\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{4}+\beta q^{7}-q^{8}-4q^{11}+(2+\cdots)q^{13}+\cdots\)
8550.2.a.bs \(2\) \(68.272\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(2\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{4}+(1+\beta )q^{7}-q^{8}+(-2+\cdots)q^{11}+\cdots\)
8550.2.a.bt \(2\) \(68.272\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(2\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{4}+(1+\beta )q^{7}-q^{8}-3\beta q^{11}+\cdots\)
8550.2.a.bu \(2\) \(68.272\) \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+(2+\beta )q^{7}-q^{8}+(-1+\cdots)q^{11}+\cdots\)
8550.2.a.bv \(2\) \(68.272\) \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(-4\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+(-2+\beta )q^{7}+q^{8}+(-1+\cdots)q^{11}+\cdots\)
8550.2.a.bw \(2\) \(68.272\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
8550.2.a.bx \(2\) \(68.272\) \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}+q^{4}+(-1-\beta )q^{7}+q^{8}-2q^{11}+\cdots\)
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