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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
1344.4.a.b \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(-14\) \(-7\) \(+\) \(+\) \(+\) \(q-3q^{3}-14q^{5}-7q^{7}+9q^{9}-4q^{11}+\cdots\)
1344.4.a.e \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(-4\) \(7\) \(-\) \(+\) \(-\) \(q-3q^{3}-4q^{5}+7q^{7}+9q^{9}-26q^{11}+\cdots\)
1344.4.a.f \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(-2\) \(-7\) \(+\) \(+\) \(+\) \(q-3q^{3}-2q^{5}-7q^{7}+9q^{9}+8q^{11}+\cdots\)
1344.4.a.g \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(2\) \(-7\) \(+\) \(+\) \(+\) \(q-3q^{3}+2q^{5}-7q^{7}+9q^{9}-52q^{11}+\cdots\)
1344.4.a.i \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(4\) \(7\) \(-\) \(+\) \(-\) \(q-3q^{3}+4q^{5}+7q^{7}+9q^{9}+62q^{11}+\cdots\)
1344.4.a.k \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(10\) \(-7\) \(+\) \(+\) \(+\) \(q-3q^{3}+10q^{5}-7q^{7}+9q^{9}+52q^{11}+\cdots\)
1344.4.a.m \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(18\) \(-7\) \(+\) \(+\) \(+\) \(q-3q^{3}+18q^{5}-7q^{7}+9q^{9}-44q^{11}+\cdots\)
1344.4.a.o \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(-18\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}-18q^{5}+7q^{7}+9q^{9}+72q^{11}+\cdots\)
1344.4.a.q \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(-6\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}-6q^{5}+7q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
1344.4.a.u \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(2\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}+2q^{5}+7q^{7}+9q^{9}-12q^{11}+\cdots\)
1344.4.a.y \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(10\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}+10q^{5}+7q^{7}+9q^{9}+12q^{11}+\cdots\)
1344.4.a.z \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(16\) \(-7\) \(-\) \(-\) \(+\) \(q+3q^{3}+2^{4}q^{5}-7q^{7}+9q^{9}-18q^{11}+\cdots\)
1344.4.a.ba \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(18\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}+18q^{5}+7q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
1344.4.a.bb \(1\) \(79.299\) \(\Q\) None \(0\) \(3\) \(18\) \(7\) \(+\) \(-\) \(-\) \(q+3q^{3}+18q^{5}+7q^{7}+9q^{9}+44q^{11}+\cdots\)
1344.4.a.bf \(2\) \(79.299\) \(\Q(\sqrt{11}) \) None \(0\) \(-6\) \(-8\) \(-14\) \(+\) \(+\) \(+\) \(q-3q^{3}+(-4+\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bh \(2\) \(79.299\) \(\Q(\sqrt{37}) \) None \(0\) \(-6\) \(4\) \(14\) \(-\) \(+\) \(-\) \(q-3q^{3}+(2+\beta )q^{5}+7q^{7}+9q^{9}+(24+\cdots)q^{11}+\cdots\)
1344.4.a.bi \(2\) \(79.299\) \(\Q(\sqrt{337}) \) None \(0\) \(-6\) \(6\) \(14\) \(-\) \(+\) \(-\) \(q-3q^{3}+(3+\beta )q^{5}+7q^{7}+9q^{9}+(13+\cdots)q^{11}+\cdots\)
1344.4.a.bl \(2\) \(79.299\) \(\Q(\sqrt{177}) \) None \(0\) \(6\) \(-14\) \(-14\) \(-\) \(-\) \(+\) \(q+3q^{3}+(-7-\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bn \(2\) \(79.299\) \(\Q(\sqrt{11}) \) None \(0\) \(6\) \(-8\) \(14\) \(+\) \(-\) \(-\) \(q+3q^{3}+(-4+\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
1344.4.a.bo \(2\) \(79.299\) \(\Q(\sqrt{57}) \) None \(0\) \(6\) \(-6\) \(-14\) \(-\) \(-\) \(+\) \(q+3q^{3}+(-3-\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bp \(2\) \(79.299\) \(\Q(\sqrt{37}) \) None \(0\) \(6\) \(4\) \(-14\) \(-\) \(-\) \(+\) \(q+3q^{3}+(2+\beta )q^{5}-7q^{7}+9q^{9}+(-24+\cdots)q^{11}+\cdots\)
1344.4.a.bs \(3\) \(79.299\) 3.3.37341.1 None \(0\) \(-9\) \(-6\) \(21\) \(-\) \(+\) \(-\) \(q-3q^{3}+(-2+\beta _{1})q^{5}+7q^{7}+9q^{9}+\cdots\)
1344.4.a.bt \(3\) \(79.299\) 3.3.22700.1 None \(0\) \(-9\) \(10\) \(-21\) \(+\) \(+\) \(+\) \(q-3q^{3}+(3+\beta _{2})q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bu \(3\) \(79.299\) 3.3.37341.1 None \(0\) \(9\) \(-6\) \(-21\) \(-\) \(-\) \(+\) \(q+3q^{3}+(-2+\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bv \(3\) \(79.299\) 3.3.22700.1 None \(0\) \(9\) \(10\) \(21\) \(+\) \(-\) \(-\) \(q+3q^{3}+(3+\beta _{2})q^{5}+7q^{7}+9q^{9}+\cdots\)
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