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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 11
4400.2.a.a \(1\) \(35.134\) \(\Q\) None \(0\) \(-3\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-3q^{3}-2q^{7}+6q^{9}+q^{11}+6q^{17}+\cdots\)
4400.2.a.b \(1\) \(35.134\) \(\Q\) None \(0\) \(-3\) \(0\) \(-1\) \(-\) \(-\) \(-\) \(q-3q^{3}-q^{7}+6q^{9}+q^{11}+5q^{17}+\cdots\)
4400.2.a.c \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(q-2q^{3}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
4400.2.a.d \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q-2q^{3}-4q^{7}+q^{9}+q^{11}-5q^{13}+\cdots\)
4400.2.a.e \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q-2q^{3}-4q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
4400.2.a.f \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q-2q^{3}+q^{9}-q^{11}-2q^{13}+6q^{17}+\cdots\)
4400.2.a.g \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q-2q^{3}+q^{9}-q^{11}+3q^{13}-4q^{17}+\cdots\)
4400.2.a.h \(1\) \(35.134\) \(\Q\) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q-2q^{3}+2q^{7}+q^{9}+q^{11}+4q^{17}+\cdots\)
4400.2.a.i \(1\) \(35.134\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q-q^{3}-2q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots\)
4400.2.a.j \(1\) \(35.134\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}-2q^{9}+q^{11}-q^{17}-q^{19}+\cdots\)
4400.2.a.k \(1\) \(35.134\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(-\) \(-\) \(+\) \(q-q^{3}+3q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots\)
4400.2.a.l \(1\) \(35.134\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(-\) \(+\) \(+\) \(q-q^{3}+3q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots\)
4400.2.a.m \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q-2q^{7}-3q^{9}-q^{11}+4q^{13}+4q^{17}+\cdots\)
4400.2.a.n \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(q-2q^{7}-3q^{9}+q^{11}-6q^{13}-2q^{17}+\cdots\)
4400.2.a.o \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-2q^{7}-3q^{9}+q^{11}+8q^{19}-8q^{23}+\cdots\)
4400.2.a.p \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{9}+q^{11}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
4400.2.a.q \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+2q^{7}-3q^{9}+q^{11}+6q^{13}+2q^{17}+\cdots\)
4400.2.a.r \(1\) \(35.134\) \(\Q\) None \(0\) \(0\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+4q^{7}-3q^{9}+q^{11}-6q^{13}+6q^{17}+\cdots\)
4400.2.a.s \(1\) \(35.134\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(q+q^{3}-3q^{7}-2q^{9}-q^{11}+4q^{13}+\cdots\)
4400.2.a.t \(1\) \(35.134\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{7}-2q^{9}+q^{11}-2q^{13}+\cdots\)
4400.2.a.u \(1\) \(35.134\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(-\) \(q+q^{3}-q^{7}-2q^{9}+q^{11}+q^{17}-q^{19}+\cdots\)
4400.2.a.v \(1\) \(35.134\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+q^{3}+2q^{7}-2q^{9}+q^{11}+4q^{13}+\cdots\)
4400.2.a.w \(1\) \(35.134\) \(\Q\) None \(0\) \(1\) \(0\) \(5\) \(-\) \(+\) \(+\) \(q+q^{3}+5q^{7}-2q^{9}-q^{11}-2q^{13}+\cdots\)
4400.2.a.x \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(q+2q^{3}-2q^{7}+q^{9}+q^{11}-4q^{17}+\cdots\)
4400.2.a.y \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+2q^{3}+q^{9}-q^{11}-3q^{13}+4q^{17}+\cdots\)
4400.2.a.z \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+2q^{3}+q^{9}-q^{11}+4q^{17}+4q^{19}+\cdots\)
4400.2.a.ba \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}+q^{9}-q^{11}+2q^{13}-6q^{17}+\cdots\)
4400.2.a.bb \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+2q^{3}+4q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
4400.2.a.bc \(1\) \(35.134\) \(\Q\) None \(0\) \(2\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q+2q^{3}+4q^{7}+q^{9}+q^{11}+5q^{13}+\cdots\)
4400.2.a.bd \(1\) \(35.134\) \(\Q\) None \(0\) \(3\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+3q^{3}+q^{7}+6q^{9}+q^{11}-5q^{17}+\cdots\)
4400.2.a.be \(1\) \(35.134\) \(\Q\) None \(0\) \(3\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q+3q^{3}+q^{7}+6q^{9}+q^{11}+6q^{13}+\cdots\)
4400.2.a.bf \(2\) \(35.134\) \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(0\) \(-5\) \(-\) \(-\) \(+\) \(q+(-1-\beta )q^{3}+(-2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
4400.2.a.bg \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+(-1-\beta )q^{3}+(-2+3\beta )q^{7}+(-1+\cdots)q^{9}+\cdots\)
4400.2.a.bh \(2\) \(35.134\) \(\Q(\sqrt{13}) \) None \(0\) \(-1\) \(0\) \(-5\) \(-\) \(-\) \(-\) \(q-\beta q^{3}+(-3+\beta )q^{7}+\beta q^{9}+q^{11}+\cdots\)
4400.2.a.bi \(2\) \(35.134\) \(\Q(\sqrt{21}) \) None \(0\) \(-1\) \(0\) \(-5\) \(-\) \(+\) \(-\) \(q-\beta q^{3}+(-3+\beta )q^{7}+(2+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bj \(2\) \(35.134\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-q^{11}-2q^{13}+\cdots\)
4400.2.a.bk \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q-\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bl \(2\) \(35.134\) \(\Q(\sqrt{33}) \) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(q-\beta q^{3}+\beta q^{7}+(5+\beta )q^{9}+q^{11}-2q^{13}+\cdots\)
4400.2.a.bm \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(0\) \(3\) \(+\) \(-\) \(+\) \(q-\beta q^{3}+(1+\beta )q^{7}+(-2+\beta )q^{9}-q^{11}+\cdots\)
4400.2.a.bn \(2\) \(35.134\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q+\beta q^{3}-2q^{7}+5q^{9}-q^{11}+(4+\beta )q^{13}+\cdots\)
4400.2.a.bo \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q+\beta q^{3}+(-1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
4400.2.a.bp \(2\) \(35.134\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q+\beta q^{3}-2\beta q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bq \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
4400.2.a.br \(2\) \(35.134\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(3\) \(+\) \(+\) \(+\) \(q+\beta q^{3}+(2-\beta )q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
4400.2.a.bs \(2\) \(35.134\) \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(0\) \(5\) \(-\) \(+\) \(-\) \(q+\beta q^{3}+(3-\beta )q^{7}+\beta q^{9}+q^{11}-5q^{13}+\cdots\)
4400.2.a.bt \(2\) \(35.134\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(5\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+(2+\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bu \(2\) \(35.134\) \(\Q(\sqrt{21}) \) None \(0\) \(1\) \(0\) \(5\) \(-\) \(-\) \(-\) \(q+\beta q^{3}+(3-\beta )q^{7}+(2+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bv \(2\) \(35.134\) \(\Q(\sqrt{5}) \) None \(0\) \(3\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{3}+(2-3\beta )q^{7}+(-1+3\beta )q^{9}+\cdots\)
4400.2.a.bw \(2\) \(35.134\) \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(0\) \(5\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}+(2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
4400.2.a.bx \(3\) \(35.134\) 3.3.837.1 None \(0\) \(-3\) \(0\) \(-3\) \(+\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\)
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