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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2205.1.e.a \(4\) \(1.100\) 4.0.2048.2 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
2205.1.e.b \(4\) \(1.100\) 4.0.2048.2 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
2205.1.f.a \(4\) \(1.100\) \(\Q(\zeta_{8})\) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{11}+\cdots\)
2205.1.q.a \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
2205.1.q.b \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(0\) \(q-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
2205.1.v.a \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(2\) \(0\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots\)
2205.1.v.b \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-2\) \(0\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots\)
2205.1.y.a \(8\) \(1.100\) \(\Q(\zeta_{24})\) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{4}q^{4}-\zeta_{24}^{2}q^{5}+(-\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{11}+\cdots\)
2205.1.ba.a \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-2\) \(1\) \(0\) \(q-q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2205.1.ba.b \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(2\) \(-1\) \(0\) \(q+q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2205.1.bi.a \(8\) \(1.100\) 8.0.339738624.1 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots\)
2205.1.bi.b \(8\) \(1.100\) 8.0.339738624.1 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(4\) \(0\) \(q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}-\beta _{4}q^{5}+\cdots\)
2205.1.bn.a \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(2\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots\)
2205.1.bn.b \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-2\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots\)
2205.1.br.a \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q-\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots\)
2205.1.br.b \(2\) \(1.100\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(0\) \(q+\zeta_{6}q^{3}-q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots\)
2205.1.bu.a \(8\) \(1.100\) \(\Q(\zeta_{24})\) None None \(8\) \(0\) \(0\) \(0\) \(q+(1-\zeta_{24}^{6})q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{4}+\cdots\)
2205.1.bz.a \(8\) \(1.100\) \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{2}+\zeta_{24}^{3}q^{3}+\cdots\)
2205.1.ci.a \(8\) \(1.100\) \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{4}-\zeta_{24}^{10})q^{2}-\zeta_{24}q^{3}+\cdots\)
2205.2.a.a \(1\) \(17.607\) \(\Q\) None None \(-1\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+2q^{11}+\cdots\)
2205.2.a.b \(1\) \(17.607\) \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) \(-\) \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+6q^{13}+\cdots\)
2205.2.a.c \(1\) \(17.607\) \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+2q^{11}+\cdots\)
2205.2.a.d \(1\) \(17.607\) \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-2q^{4}-q^{5}+q^{13}+4q^{16}+6q^{17}+\cdots\)
2205.2.a.e \(1\) \(17.607\) \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-2q^{4}-q^{5}+3q^{11}-5q^{13}+4q^{16}+\cdots\)
2205.2.a.f \(1\) \(17.607\) \(\Q\) None None \(0\) \(0\) \(1\) \(0\) \(+\) \(q-2q^{4}+q^{5}-q^{13}+4q^{16}-6q^{17}+\cdots\)
2205.2.a.g \(1\) \(17.607\) \(\Q\) None None \(1\) \(0\) \(-1\) \(0\) \(-\) \(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-2q^{11}+\cdots\)
2205.2.a.h \(1\) \(17.607\) \(\Q\) None None \(1\) \(0\) \(1\) \(0\) \(+\) \(q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}-2q^{11}+\cdots\)
2205.2.a.i \(1\) \(17.607\) \(\Q\) None None \(1\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+4q^{11}+\cdots\)
2205.2.a.j \(1\) \(17.607\) \(\Q\) None None \(2\) \(0\) \(-1\) \(0\) \(+\) \(q+2q^{2}+2q^{4}-q^{5}-2q^{10}-q^{11}+\cdots\)
2205.2.a.k \(1\) \(17.607\) \(\Q\) None None \(2\) \(0\) \(-1\) \(0\) \(-\) \(q+2q^{2}+2q^{4}-q^{5}-2q^{10}+6q^{11}+\cdots\)
2205.2.a.l \(1\) \(17.607\) \(\Q\) None None \(2\) \(0\) \(1\) \(0\) \(-\) \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}-q^{11}+\cdots\)
2205.2.a.m \(1\) \(17.607\) \(\Q\) None None \(2\) \(0\) \(1\) \(0\) \(-\) \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}+6q^{11}+\cdots\)
2205.2.a.n \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(0\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.o \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(0\) \(+\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.p \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) \(+\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.q \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.r \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.2.a.s \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2205.2.a.t \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(3-2\beta )q^{11}+\cdots\)
2205.2.a.u \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2205.2.a.v \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(3-2\beta )q^{11}+\cdots\)
2205.2.a.w \(2\) \(17.607\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-\beta q^{2}+3q^{4}-q^{5}-\beta q^{8}+\beta q^{10}+\cdots\)
2205.2.a.x \(2\) \(17.607\) \(\Q(\sqrt{17}) \) None None \(1\) \(0\) \(2\) \(0\) \(-\) \(q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(4+\beta )q^{8}+\cdots\)
2205.2.a.y \(2\) \(17.607\) \(\Q(\sqrt{2}) \) None None \(2\) \(0\) \(-2\) \(0\) \(-\) \(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-q^{5}+(3+\beta )q^{8}+\cdots\)
2205.2.a.z \(2\) \(17.607\) \(\Q(\sqrt{3}) \) None None \(2\) \(0\) \(-2\) \(0\) \(-\) \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(6+2\beta )q^{8}+\cdots\)
2205.2.a.ba \(2\) \(17.607\) \(\Q(\sqrt{3}) \) None None \(2\) \(0\) \(2\) \(0\) \(-\) \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(6+2\beta )q^{8}+\cdots\)
2205.2.a.bb \(3\) \(17.607\) 3.3.404.1 None None \(-2\) \(0\) \(-3\) \(0\) \(+\) \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.2.a.bc \(3\) \(17.607\) 3.3.404.1 None None \(-2\) \(0\) \(3\) \(0\) \(+\) \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.2.a.bd \(3\) \(17.607\) 3.3.404.1 None None \(2\) \(0\) \(-3\) \(0\) \(-\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
2205.2.a.be \(3\) \(17.607\) 3.3.404.1 None None \(2\) \(0\) \(3\) \(0\) \(-\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
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