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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
8820.2.a.a \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}-6q^{11}-2q^{13}-6q^{17}-8q^{19}+\cdots\)
8820.2.a.b \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}-6q^{11}+4q^{13}+6q^{17}-2q^{19}+\cdots\)
8820.2.a.c \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}-4q^{11}+2q^{17}+6q^{19}-6q^{23}+\cdots\)
8820.2.a.d \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}-4q^{11}+4q^{13}-2q^{17}-4q^{23}+\cdots\)
8820.2.a.e \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}-2q^{11}-4q^{13}-2q^{17}-2q^{23}+\cdots\)
8820.2.a.f \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}-2q^{11}-4q^{13}+6q^{17}-6q^{19}+\cdots\)
8820.2.a.g \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}-2q^{13}-6q^{17}+4q^{19}-6q^{23}+\cdots\)
8820.2.a.h \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+4q^{13}-6q^{17}-2q^{19}+6q^{23}+\cdots\)
8820.2.a.i \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+q^{11}+5q^{13}+q^{17}+6q^{19}+\cdots\)
8820.2.a.j \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+2q^{11}+q^{13}+4q^{17}-q^{19}+\cdots\)
8820.2.a.k \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+2q^{11}+6q^{13}+2q^{17}+9q^{23}+\cdots\)
8820.2.a.l \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+4q^{11}-7q^{13}-6q^{17}-3q^{19}+\cdots\)
8820.2.a.m \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+4q^{11}-4q^{13}-2q^{17}+4q^{23}+\cdots\)
8820.2.a.n \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+5q^{11}+3q^{13}-q^{17}-6q^{19}+\cdots\)
8820.2.a.o \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+6q^{11}+6q^{17}-4q^{19}-6q^{23}+\cdots\)
8820.2.a.p \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}-6q^{11}+2q^{13}+6q^{17}+8q^{19}+\cdots\)
8820.2.a.q \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}-4q^{11}-4q^{13}+2q^{17}-4q^{23}+\cdots\)
8820.2.a.r \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-3q^{11}+q^{13}-3q^{17}-2q^{19}+\cdots\)
8820.2.a.s \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-2q^{11}-4q^{13}+2q^{17}+2q^{19}+\cdots\)
8820.2.a.t \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-2q^{11}+4q^{13}+2q^{17}-2q^{23}+\cdots\)
8820.2.a.u \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+4q^{13}+6q^{17}-2q^{19}-6q^{23}+\cdots\)
8820.2.a.v \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}+q^{11}-5q^{13}-q^{17}-6q^{19}+\cdots\)
8820.2.a.w \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+2q^{11}-6q^{13}-2q^{17}+9q^{23}+\cdots\)
8820.2.a.x \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}+2q^{11}-4q^{13}+2q^{17}-2q^{19}+\cdots\)
8820.2.a.y \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}+2q^{11}-q^{13}-4q^{17}+q^{19}+\cdots\)
8820.2.a.z \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+4q^{11}-2q^{17}+6q^{19}+6q^{23}+\cdots\)
8820.2.a.ba \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+4q^{11}+4q^{13}+2q^{17}+4q^{23}+\cdots\)
8820.2.a.bb \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+4q^{11}+7q^{13}+6q^{17}+3q^{19}+\cdots\)
8820.2.a.bc \(1\) \(70.428\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}+6q^{11}-6q^{17}+4q^{19}-6q^{23}+\cdots\)
8820.2.a.bd \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-q^{5}+(-2+2\beta )q^{11}-2\beta q^{17}-\beta q^{19}+\cdots\)
8820.2.a.be \(2\) \(70.428\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-q^{5}+(-1+\beta )q^{11}-\beta q^{13}+(-1+\cdots)q^{17}+\cdots\)
8820.2.a.bf \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-q^{5}+\beta q^{11}+(1-\beta )q^{13}+\beta q^{17}+\cdots\)
8820.2.a.bg \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-q^{5}+(1+2\beta )q^{11}+(-5+\beta )q^{13}+\cdots\)
8820.2.a.bh \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-q^{5}+2q^{11}+2\beta q^{13}+(-4+2\beta )q^{17}+\cdots\)
8820.2.a.bi \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+q^{5}+(-2+2\beta )q^{11}+2\beta q^{17}+\beta q^{19}+\cdots\)
8820.2.a.bj \(2\) \(70.428\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+q^{5}+(-1+\beta )q^{11}+\beta q^{13}+(1-\beta )q^{17}+\cdots\)
8820.2.a.bk \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+q^{5}+\beta q^{11}+(-1+\beta )q^{13}-\beta q^{17}+\cdots\)
8820.2.a.bl \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+q^{5}+(1+2\beta )q^{11}+(5-\beta )q^{13}+(-5+\cdots)q^{17}+\cdots\)
8820.2.a.bm \(2\) \(70.428\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+q^{5}+2q^{11}-2\beta q^{13}+(4-2\beta )q^{17}+\cdots\)
8820.2.a.bn \(3\) \(70.428\) 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) \(-\) \(q-q^{5}+(-1+\beta _{2})q^{11}+(-2+\beta _{2})q^{13}+\cdots\)
8820.2.a.bo \(3\) \(70.428\) 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) \(+\) \(q-q^{5}+(1-\beta _{2})q^{11}+(2-\beta _{2})q^{13}+\cdots\)
8820.2.a.bp \(3\) \(70.428\) 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) \(-\) \(q+q^{5}+(-1+\beta _{2})q^{11}+(2-\beta _{2})q^{13}+\cdots\)
8820.2.a.bq \(3\) \(70.428\) 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) \(+\) \(q+q^{5}+(1-\beta _{2})q^{11}+(-2+\beta _{2})q^{13}+\cdots\)
8820.2.a.br \(4\) \(70.428\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(-4\) \(0\) \(-\) \(q-q^{5}+(\beta _{1}+\beta _{2})q^{11}+(-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
8820.2.a.bs \(4\) \(70.428\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(4\) \(0\) \(+\) \(q+q^{5}+(\beta _{1}+\beta _{2})q^{11}+(\beta _{1}-\beta _{2})q^{13}+\cdots\)
8820.2.d.a \(12\) \(70.428\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(-12\) \(0\) \(q-q^{5}+(\beta _{1}-\beta _{7})q^{11}-\beta _{8}q^{13}+\beta _{5}q^{17}+\cdots\)
8820.2.d.b \(12\) \(70.428\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(12\) \(0\) \(q+q^{5}+(\beta _{1}-\beta _{7})q^{11}+\beta _{8}q^{13}-\beta _{5}q^{17}+\cdots\)
8820.2.d.c \(16\) \(70.428\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(-16\) \(0\) \(q-q^{5}+(-\beta _{10}+\beta _{11}-\beta _{12})q^{11}+\cdots\)
8820.2.d.d \(16\) \(70.428\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(16\) \(0\) \(q+q^{5}+(-\beta _{10}+\beta _{11}-\beta _{12})q^{11}+\cdots\)
8820.2.f.a \(32\) \(70.428\) None \(0\) \(0\) \(0\) \(0\)
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