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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
4800.2.a.a \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) \(-\) \(+\) \(+\) \(q-q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots\)
4800.2.a.b \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) \(+\) \(+\) \(-\) \(q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
4800.2.a.c \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots\)
4800.2.a.d \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q-q^{3}-4q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4800.2.a.e \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q-q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots\)
4800.2.a.f \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4800.2.a.g \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q-q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots\)
4800.2.a.h \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
4800.2.a.i \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q-q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots\)
4800.2.a.j \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(+\) \(+\) \(q-q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots\)
4800.2.a.k \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
4800.2.a.l \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4800.2.a.m \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
4800.2.a.n \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4800.2.a.o \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4800.2.a.p \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4800.2.a.q \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.r \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-q^{3}+q^{9}-4q^{11}+6q^{13}+6q^{17}+\cdots\)
4800.2.a.s \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4800.2.a.t \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.u \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-q^{3}+q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
4800.2.a.v \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
4800.2.a.w \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}-q^{21}+\cdots\)
4800.2.a.x \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(+\) \(q-q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.y \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
4800.2.a.z \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q-q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
4800.2.a.ba \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q-q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
4800.2.a.bb \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(+\) \(+\) \(+\) \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
4800.2.a.bc \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(+\) \(+\) \(-\) \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
4800.2.a.bd \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(-\) \(+\) \(+\) \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
4800.2.a.be \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(-\) \(+\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4800.2.a.bf \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(-\) \(q-q^{3}+4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
4800.2.a.bg \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(+\) \(q-q^{3}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4800.2.a.bh \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bi \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q-q^{3}+4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bj \(1\) \(38.328\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
4800.2.a.bk \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(-\) \(-\) \(-\) \(q+q^{3}-4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
4800.2.a.bl \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bm \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bn \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(-\) \(q+q^{3}-4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots\)
4800.2.a.bo \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(q+q^{3}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4800.2.a.bp \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(+\) \(-\) \(+\) \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
4800.2.a.bq \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(+\) \(-\) \(-\) \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4800.2.a.br \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
4800.2.a.bs \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(-\) \(-\) \(-\) \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
4800.2.a.bt \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
4800.2.a.bu \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
4800.2.a.bv \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(-\) \(q+q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
4800.2.a.bw \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(-\) \(q+q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.bx \(1\) \(38.328\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}-q^{21}+\cdots\)
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