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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 11
9075.2.a.a \(1\) \(72.464\) \(\Q\) None \(-2\) \(-1\) \(0\) \(3\) \(+\) \(-\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+3q^{7}+\cdots\)
9075.2.a.b \(1\) \(72.464\) \(\Q\) None \(-2\) \(1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
9075.2.a.c \(1\) \(72.464\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}-4q^{7}+3q^{8}+\cdots\)
9075.2.a.d \(1\) \(72.464\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}-2q^{7}+3q^{8}+\cdots\)
9075.2.a.e \(1\) \(72.464\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+q^{7}+3q^{8}+\cdots\)
9075.2.a.f \(1\) \(72.464\) \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{6}-4q^{7}+3q^{8}+\cdots\)
9075.2.a.g \(1\) \(72.464\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots\)
9075.2.a.h \(1\) \(72.464\) \(\Q\) None \(-1\) \(1\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+q^{7}+3q^{8}+\cdots\)
9075.2.a.i \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}-q^{13}+\cdots\)
9075.2.a.j \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}+2q^{13}+\cdots\)
9075.2.a.k \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}+q^{7}+q^{9}+2q^{12}-2q^{13}+\cdots\)
9075.2.a.l \(1\) \(72.464\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+q^{7}+q^{9}-2q^{12}+q^{13}+\cdots\)
9075.2.a.m \(1\) \(72.464\) \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-q^{7}-3q^{8}+\cdots\)
9075.2.a.n \(1\) \(72.464\) \(\Q\) None \(1\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}+2q^{7}-3q^{8}+\cdots\)
9075.2.a.o \(1\) \(72.464\) \(\Q\) None \(1\) \(-1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.p \(1\) \(72.464\) \(\Q\) None \(1\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-q^{7}-3q^{8}+\cdots\)
9075.2.a.q \(1\) \(72.464\) \(\Q\) None \(1\) \(1\) \(0\) \(4\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.r \(1\) \(72.464\) \(\Q\) None \(1\) \(1\) \(0\) \(4\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.s \(1\) \(72.464\) \(\Q\) None \(2\) \(1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-3q^{7}+\cdots\)
9075.2.a.t \(1\) \(72.464\) \(\Q\) None \(2\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
9075.2.a.u \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-3\) \(2\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.v \(2\) \(72.464\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.w \(2\) \(72.464\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.x \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) \(+\) \(+\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.y \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.z \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.ba \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bb \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(-6\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bc \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(-6\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bd \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.be \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bf \(2\) \(72.464\) \(\Q(\sqrt{15}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}+\beta q^{7}+q^{9}+2q^{12}+\cdots\)
9075.2.a.bg \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bh \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+2q^{7}-\beta q^{8}+\cdots\)
9075.2.a.bi \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}+2\beta q^{7}+\cdots\)
9075.2.a.bj \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{8}+\cdots\)
9075.2.a.bk \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{7}+\cdots\)
9075.2.a.bl \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+\beta q^{7}+q^{9}-2q^{12}+\cdots\)
9075.2.a.bm \(2\) \(72.464\) \(\Q(\sqrt{15}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+\beta q^{7}+q^{9}-2q^{12}+\cdots\)
9075.2.a.bn \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bo \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bp \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{8}+q^{9}+\cdots\)
9075.2.a.bq \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q-\beta q^{2}+q^{3}+3q^{4}-\beta q^{6}-\beta q^{8}+\cdots\)
9075.2.a.br \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-\beta q^{2}+q^{3}+3q^{4}-\beta q^{6}-\beta q^{7}+\cdots\)
9075.2.a.bs \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(-1\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bt \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(6\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bu \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(6\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bv \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(6\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bw \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bx \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
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