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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 7
4032.2.a.a \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-4\) \(-1\) \(-\) \(-\) \(+\) \(q-4q^{5}-q^{7}+2q^{17}-2q^{19}+8q^{23}+\cdots\)
4032.2.a.b \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-4\) \(-1\) \(+\) \(-\) \(+\) \(q-4q^{5}-q^{7}+2q^{11}+2q^{13}-4q^{19}+\cdots\)
4032.2.a.c \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-4\) \(1\) \(+\) \(-\) \(-\) \(q-4q^{5}+q^{7}-2q^{11}+2q^{13}+4q^{19}+\cdots\)
4032.2.a.d \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-4\) \(1\) \(+\) \(-\) \(-\) \(q-4q^{5}+q^{7}+2q^{17}+2q^{19}-8q^{23}+\cdots\)
4032.2.a.e \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) \(+\) \(-\) \(+\) \(q-2q^{5}-q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots\)
4032.2.a.f \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) \(-\) \(-\) \(+\) \(q-2q^{5}-q^{7}-4q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.g \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) \(+\) \(+\) \(+\) \(q-2q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.h \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) \(+\) \(-\) \(+\) \(q-2q^{5}-q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots\)
4032.2.a.i \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) \(-\) \(+\) \(+\) \(q-2q^{5}-q^{7}+6q^{11}+6q^{13}-2q^{17}+\cdots\)
4032.2.a.j \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(+\) \(+\) \(-\) \(q-2q^{5}+q^{7}-6q^{11}+6q^{13}-2q^{17}+\cdots\)
4032.2.a.k \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{5}+q^{7}-4q^{11}+2q^{13}+6q^{17}+\cdots\)
4032.2.a.l \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(+\) \(-\) \(q-2q^{5}+q^{7}+2q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.m \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{5}+q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots\)
4032.2.a.n \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{5}+q^{7}+4q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.o \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{7}-4q^{11}-2q^{13}-4q^{17}+4q^{23}+\cdots\)
4032.2.a.p \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q-q^{7}-4q^{11}+4q^{13}+2q^{17}+6q^{19}+\cdots\)
4032.2.a.q \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(q-q^{7}-2q^{11}+2q^{13}-4q^{17}+4q^{19}+\cdots\)
4032.2.a.r \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q-q^{7}+4q^{13}-6q^{17}+2q^{19}-5q^{25}+\cdots\)
4032.2.a.s \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{7}+4q^{11}-2q^{13}+4q^{17}-4q^{23}+\cdots\)
4032.2.a.t \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q-q^{7}+6q^{11}-2q^{13}-4q^{19}-6q^{23}+\cdots\)
4032.2.a.u \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q+q^{7}-6q^{11}-2q^{13}+4q^{19}+6q^{23}+\cdots\)
4032.2.a.v \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q+q^{7}-4q^{11}-2q^{13}+4q^{17}+4q^{23}+\cdots\)
4032.2.a.w \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q+q^{7}+4q^{13}-6q^{17}-2q^{19}-5q^{25}+\cdots\)
4032.2.a.x \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q+q^{7}+2q^{11}+2q^{13}-4q^{17}-4q^{19}+\cdots\)
4032.2.a.y \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q+q^{7}+4q^{11}-2q^{13}-4q^{17}-4q^{23}+\cdots\)
4032.2.a.z \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{7}+4q^{11}+4q^{13}+2q^{17}-6q^{19}+\cdots\)
4032.2.a.ba \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(-\) \(+\) \(+\) \(q+2q^{5}-q^{7}-6q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.bb \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(+\) \(-\) \(+\) \(q+2q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.bc \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(-\) \(-\) \(+\) \(q+2q^{5}-q^{7}-6q^{13}+2q^{17}+4q^{19}+\cdots\)
4032.2.a.bd \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(-\) \(-\) \(+\) \(q+2q^{5}-q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
4032.2.a.be \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(+\) \(-\) \(+\) \(q+2q^{5}-q^{7}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4032.2.a.bf \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(-1\) \(+\) \(+\) \(+\) \(q+2q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
4032.2.a.bg \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(-\) \(+\) \(-\) \(q+2q^{5}+q^{7}-2q^{11}-2q^{13}-6q^{17}+\cdots\)
4032.2.a.bh \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(+\) \(-\) \(-\) \(q+2q^{5}+q^{7}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
4032.2.a.bi \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+2q^{5}+q^{7}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
4032.2.a.bj \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+2q^{5}+q^{7}+2q^{13}-6q^{17}-4q^{19}+\cdots\)
4032.2.a.bk \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+2q^{5}+q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.bl \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(2\) \(1\) \(+\) \(+\) \(-\) \(q+2q^{5}+q^{7}+6q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.bm \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(4\) \(-1\) \(+\) \(-\) \(+\) \(q+4q^{5}-q^{7}+2q^{11}+6q^{13}+4q^{17}+\cdots\)
4032.2.a.bn \(1\) \(32.196\) \(\Q\) None \(0\) \(0\) \(4\) \(1\) \(-\) \(-\) \(-\) \(q+4q^{5}+q^{7}-2q^{11}+6q^{13}+4q^{17}+\cdots\)
4032.2.a.bo \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots\)
4032.2.a.bp \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(2\) \(+\) \(+\) \(-\) \(q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots\)
4032.2.a.bq \(2\) \(32.196\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+\beta q^{5}-q^{7}+\beta q^{11}-2q^{13}+\beta q^{17}+\cdots\)
4032.2.a.br \(2\) \(32.196\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+\beta q^{5}-q^{7}+(2-\beta )q^{11}-2q^{13}+\cdots\)
4032.2.a.bs \(2\) \(32.196\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+\beta q^{5}+q^{7}+(-2+\beta )q^{11}-2q^{13}+\cdots\)
4032.2.a.bt \(2\) \(32.196\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(+\) \(-\) \(q+\beta q^{5}+q^{7}-\beta q^{11}-2q^{13}+\beta q^{17}+\cdots\)
4032.2.a.bu \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) \(+\) \(+\) \(+\) \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}-2\beta q^{13}+\cdots\)
4032.2.a.bv \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{5}-q^{7}+(2+2\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
4032.2.a.bw \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(2\) \(+\) \(-\) \(-\) \(q+(1+\beta )q^{5}+q^{7}+(-2-2\beta )q^{11}+\cdots\)
4032.2.a.bx \(2\) \(32.196\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(2\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots\)
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