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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
2352.4.a.c \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-7\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}-7q^{5}+9q^{9}-7q^{11}+52q^{13}+\cdots\)
2352.4.a.f \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-6\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}-6q^{5}+9q^{9}+30q^{11}+53q^{13}+\cdots\)
2352.4.a.h \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-4\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}-4q^{5}+9q^{9}+26q^{11}-2q^{13}+\cdots\)
2352.4.a.i \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-3\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}-3q^{5}+9q^{9}+15q^{11}-2^{6}q^{13}+\cdots\)
2352.4.a.j \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}-2q^{5}+9q^{9}+18q^{11}-33q^{13}+\cdots\)
2352.4.a.k \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(2\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+2q^{5}+9q^{9}-12q^{11}+66q^{13}+\cdots\)
2352.4.a.n \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(10\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+10q^{5}+9q^{9}+12q^{11}-30q^{13}+\cdots\)
2352.4.a.o \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(11\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+11q^{5}+9q^{9}-39q^{11}+2^{5}q^{13}+\cdots\)
2352.4.a.p \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(12\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+12q^{5}+9q^{9}+60q^{11}+44q^{13}+\cdots\)
2352.4.a.t \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-18\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-18q^{5}+9q^{9}+50q^{11}+6^{2}q^{13}+\cdots\)
2352.4.a.v \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-14\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-14q^{5}+9q^{9}-4q^{11}-54q^{13}+\cdots\)
2352.4.a.y \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-11\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}-11q^{5}+9q^{9}-39q^{11}-2^{5}q^{13}+\cdots\)
2352.4.a.z \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-8\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-8q^{5}+9q^{9}-40q^{11}-4q^{13}+\cdots\)
2352.4.a.ba \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-2\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-2q^{5}+9q^{9}+8q^{11}+42q^{13}+\cdots\)
2352.4.a.bc \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}+2q^{5}+9q^{9}+18q^{11}+33q^{13}+\cdots\)
2352.4.a.bd \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(3\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+3q^{5}+9q^{9}+15q^{11}+2^{6}q^{13}+\cdots\)
2352.4.a.be \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(4\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+4q^{5}+9q^{9}+20q^{11}-4q^{13}+\cdots\)
2352.4.a.bf \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(6\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+6q^{5}+9q^{9}+30q^{11}-53q^{13}+\cdots\)
2352.4.a.bg \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(7\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}+7q^{5}+9q^{9}-7q^{11}-52q^{13}+\cdots\)
2352.4.a.bi \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(12\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+12q^{5}+9q^{9}-20q^{11}-84q^{13}+\cdots\)
2352.4.a.bk \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(18\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+18q^{5}+9q^{9}-6^{2}q^{11}+10q^{13}+\cdots\)
2352.4.a.bl \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(-20\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(-10+7\beta )q^{5}+9q^{9}+(10+\cdots)q^{11}+\cdots\)
2352.4.a.bm \(2\) \(138.772\) \(\Q(\sqrt{137}) \) None \(0\) \(-6\) \(-18\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+(-9-\beta )q^{5}+9q^{9}+(-29+\cdots)q^{11}+\cdots\)
2352.4.a.bn \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(-12\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(-6+\beta )q^{5}+9q^{9}+(2+6\beta )q^{11}+\cdots\)
2352.4.a.bo \(2\) \(138.772\) \(\Q(\sqrt{505}) \) None \(0\) \(-6\) \(-9\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+(-4-\beta )q^{5}+9q^{9}-5\beta q^{11}+\cdots\)
2352.4.a.bq \(2\) \(138.772\) \(\Q(\sqrt{1345}) \) None \(0\) \(-6\) \(5\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(3-\beta )q^{5}+9q^{9}+(-33-\beta )q^{11}+\cdots\)
2352.4.a.br \(2\) \(138.772\) \(\Q(\sqrt{337}) \) None \(0\) \(-6\) \(6\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+(3+\beta )q^{5}+9q^{9}+(-13-\beta )q^{11}+\cdots\)
2352.4.a.bs \(2\) \(138.772\) \(\Q(\sqrt{113}) \) None \(0\) \(-6\) \(6\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}+(3+\beta )q^{5}+9q^{9}+(-1-3\beta )q^{11}+\cdots\)
2352.4.a.bt \(2\) \(138.772\) \(\Q(\sqrt{193}) \) None \(0\) \(-6\) \(11\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(6-\beta )q^{5}+9q^{9}+(6-7\beta )q^{11}+\cdots\)
2352.4.a.bu \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(12\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(6+\beta )q^{5}+9q^{9}+(-2-6\beta )q^{11}+\cdots\)
2352.4.a.bx \(2\) \(138.772\) \(\Q(\sqrt{193}) \) None \(0\) \(6\) \(-11\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+(-5-\beta )q^{5}+9q^{9}+(-1+\cdots)q^{11}+\cdots\)
2352.4.a.bz \(2\) \(138.772\) \(\Q(\sqrt{57}) \) None \(0\) \(6\) \(-6\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+(-3-\beta )q^{5}+9q^{9}+(3-5\beta )q^{11}+\cdots\)
2352.4.a.ca \(2\) \(138.772\) \(\Q(\sqrt{1345}) \) None \(0\) \(6\) \(-5\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+(-2-\beta )q^{5}+9q^{9}+(-34+\cdots)q^{11}+\cdots\)
2352.4.a.cc \(2\) \(138.772\) \(\Q(\sqrt{505}) \) None \(0\) \(6\) \(9\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}+(5-\beta )q^{5}+9q^{9}+(-5+5\beta )q^{11}+\cdots\)
2352.4.a.cl \(4\) \(138.772\) 4.4.136768.1 None \(0\) \(-12\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+\beta _{1}q^{5}+9q^{9}+(-3\beta _{1}+\beta _{3})q^{11}+\cdots\)
2352.4.a.co \(4\) \(138.772\) 4.4.391168.1 None \(0\) \(12\) \(-8\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}+(-2-\beta _{1})q^{5}+9q^{9}+(-10+\cdots)q^{11}+\cdots\)
2352.4.a.cr \(4\) \(138.772\) 4.4.145408.2 None \(0\) \(12\) \(8\) \(0\) \(+\) \(-\) \(+\) \(q+3q^{3}+(2+\beta _{2}+3\beta _{3})q^{5}+9q^{9}+\cdots\)
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