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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 7
3920.2.a.b \(1\) \(31.301\) \(\Q\) None \(0\) \(-3\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}-q^{5}+6q^{9}+2q^{11}+3q^{15}+\cdots\)
3920.2.a.c \(1\) \(31.301\) \(\Q\) None \(0\) \(-3\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{3}-q^{5}+6q^{9}+5q^{11}+5q^{13}+\cdots\)
3920.2.a.d \(1\) \(31.301\) \(\Q\) None \(0\) \(-3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q-3q^{3}+q^{5}+6q^{9}+2q^{11}+6q^{13}+\cdots\)
3920.2.a.g \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q-2q^{3}+q^{5}+q^{9}-3q^{11}-5q^{13}+\cdots\)
3920.2.a.h \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q-2q^{3}+q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots\)
3920.2.a.j \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q-2q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3920.2.a.k \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q-q^{3}-q^{5}-2q^{9}-6q^{11}+2q^{13}+\cdots\)
3920.2.a.l \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-q^{3}-q^{5}-2q^{9}-3q^{11}-q^{13}+\cdots\)
3920.2.a.o \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-q^{3}-q^{5}-2q^{9}+5q^{11}+7q^{13}+\cdots\)
3920.2.a.p \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q-q^{3}-q^{5}-2q^{9}+6q^{11}-4q^{13}+\cdots\)
3920.2.a.s \(1\) \(31.301\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-q^{5}-3q^{9}-4q^{11}+2q^{13}-2q^{17}+\cdots\)
3920.2.a.t \(1\) \(31.301\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{5}-3q^{9}-4q^{11}+6q^{13}-2q^{17}+\cdots\)
3920.2.a.w \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}-6q^{11}-2q^{13}+\cdots\)
3920.2.a.z \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}+q^{11}+5q^{13}+\cdots\)
3920.2.a.ba \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}+3q^{11}-5q^{13}+\cdots\)
3920.2.a.bc \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}+6q^{11}+4q^{13}+\cdots\)
3920.2.a.bd \(1\) \(31.301\) \(\Q\) None \(0\) \(2\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q+2q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3920.2.a.be \(1\) \(31.301\) \(\Q\) None \(0\) \(2\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q+2q^{3}-q^{5}+q^{9}-3q^{11}+5q^{13}+\cdots\)
3920.2.a.bi \(1\) \(31.301\) \(\Q\) None \(0\) \(3\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q+3q^{3}-q^{5}+6q^{9}+2q^{11}-6q^{13}+\cdots\)
3920.2.a.bj \(1\) \(31.301\) \(\Q\) None \(0\) \(3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+q^{5}+6q^{9}-q^{11}-3q^{13}+\cdots\)
3920.2.a.bk \(1\) \(31.301\) \(\Q\) None \(0\) \(3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+q^{5}+6q^{9}+2q^{11}+3q^{15}+\cdots\)
3920.2.a.bl \(1\) \(31.301\) \(\Q\) None \(0\) \(3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+q^{5}+6q^{9}+5q^{11}+3q^{13}+\cdots\)
3920.2.a.bo \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(+\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}-2\beta q^{9}+(1+2\beta )q^{11}+\cdots\)
3920.2.a.bp \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(q+(-1+\beta )q^{3}-q^{5}-2\beta q^{9}+(2-2\beta )q^{11}+\cdots\)
3920.2.a.bu \(2\) \(31.301\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{3}-q^{5}+(1+\beta )q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
3920.2.a.bw \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}+(3+2\beta )q^{11}+\cdots\)
3920.2.a.by \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
3920.2.a.bz \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+(2+2\beta )q^{11}+\cdots\)
3920.2.a.ca \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(-2\) \(0\) \(-\) \(+\) \(+\) \(q+(2+\beta )q^{3}-q^{5}+(3+4\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
3920.2.a.cb \(3\) \(31.301\) 3.3.1944.1 None \(0\) \(0\) \(-3\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{3}-q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3920.2.a.cc \(3\) \(31.301\) 3.3.1944.1 None \(0\) \(0\) \(3\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3920.2.a.cd \(4\) \(31.301\) 4.4.16448.2 None \(0\) \(-2\) \(4\) \(0\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}+q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
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