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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1911.1.h.a \(1\) \(0.954\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots\)
1911.1.h.b \(2\) \(0.954\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\beta q^{2}-q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+q^{9}+\cdots\)
1911.1.h.c \(2\) \(0.954\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\beta q^{2}+q^{3}+q^{4}+\beta q^{5}-\beta q^{6}+q^{9}+\cdots\)
1911.1.h.d \(4\) \(0.954\) \(\Q(\zeta_{16})^+\) \(\Q(\sqrt{-39}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
1911.1.h.e \(4\) \(0.954\) \(\Q(\zeta_{16})^+\) \(\Q(\sqrt{-39}) \) None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
1911.1.s.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots\)
1911.1.s.b \(4\) \(0.954\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}+\zeta_{12}q^{5}-\zeta_{12}^{4}q^{6}+\cdots\)
1911.1.w.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{12}+\cdots\)
1911.1.w.b \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{12}+\cdots\)
1911.1.w.c \(4\) \(0.954\) \(\Q(\sqrt{2}, \sqrt{-3})\) \(\Q(\sqrt{-39}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+\beta _{1}q^{5}+\cdots\)
1911.1.w.d \(4\) \(0.954\) \(\Q(\sqrt{2}, \sqrt{-3})\) \(\Q(\sqrt{-39}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+\beta _{2}q^{4}-\beta _{1}q^{5}+\cdots\)
1911.1.w.e \(8\) \(0.954\) 8.0.339738624.2 \(\Q(\sqrt{-39}) \) None \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{5}q^{3}+(\beta _{5}-\beta _{6})q^{4}+\beta _{1}q^{5}+\cdots\)
1911.1.w.f \(8\) \(0.954\) 8.0.339738624.2 \(\Q(\sqrt{-39}) \) None \(0\) \(4\) \(0\) \(0\) \(q+\beta _{3}q^{2}-\beta _{5}q^{3}+(\beta _{5}-\beta _{6})q^{4}-\beta _{1}q^{5}+\cdots\)
1911.1.x.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+\zeta_{6}q^{4}+q^{9}+\zeta_{6}q^{12}-\zeta_{6}q^{13}+\cdots\)
1911.1.bc.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{9}-q^{12}+\cdots\)
1911.1.bc.b \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{9}+q^{12}+\cdots\)
1911.1.be.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{9}+q^{12}+\cdots\)
1911.1.be.b \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{9}-q^{12}+\cdots\)
1911.1.be.c \(4\) \(0.954\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
1911.1.be.d \(4\) \(0.954\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{3}q^{5}+\cdots\)
1911.1.bm.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}-\zeta_{6}q^{4}+q^{9}+\zeta_{6}q^{12}+\zeta_{6}q^{13}+\cdots\)
1911.1.bm.b \(4\) \(0.954\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}^{2}q^{6}+\cdots\)
1911.1.bp.a \(2\) \(0.954\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots\)
1911.1.bt.a \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}^{4}q^{9}+\cdots\)
1911.1.cb.a \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{4}q^{9}-q^{12}+\cdots\)
1911.1.cb.b \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{4}q^{9}+q^{12}+\cdots\)
1911.1.cc.a \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{2}q^{12}+\cdots\)
1911.1.cc.b \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{2}q^{12}+\cdots\)
1911.1.ci.a \(4\) \(0.954\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-q^{9}+\zeta_{12}^{2}q^{12}+\cdots\)
1911.1.cj.a \(6\) \(0.954\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{14}^{3}q^{3}-\zeta_{14}^{2}q^{4}-\zeta_{14}q^{7}+\zeta_{14}^{6}q^{9}+\cdots\)
1911.1.cj.b \(6\) \(0.954\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{14}^{3}q^{3}-\zeta_{14}^{2}q^{4}+\zeta_{14}q^{7}+\zeta_{14}^{6}q^{9}+\cdots\)
1911.1.cv.a \(12\) \(0.954\) \(\Q(\zeta_{28})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{28}^{3}q^{3}-\zeta_{28}^{9}q^{4}+\zeta_{28}^{8}q^{7}+\cdots\)
1911.1.cv.b \(12\) \(0.954\) \(\Q(\zeta_{28})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{28}^{3}q^{3}-\zeta_{28}^{9}q^{4}+\zeta_{28}q^{7}+\zeta_{28}^{6}q^{9}+\cdots\)
1911.1.da.a \(12\) \(0.954\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{42}^{19}q^{3}+\zeta_{42}^{15}q^{4}-\zeta_{42}^{4}q^{7}+\cdots\)
1911.1.dd.a \(12\) \(0.954\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q+\zeta_{42}^{6}q^{3}-\zeta_{42}^{11}q^{4}+\zeta_{42}^{16}q^{7}+\cdots\)
1911.1.ds.a \(12\) \(0.954\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q-\zeta_{42}^{6}q^{3}-\zeta_{42}^{4}q^{4}+\zeta_{42}^{2}q^{7}+\cdots\)
1911.1.dx.a \(12\) \(0.954\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{42}^{20}q^{3}+\zeta_{42}^{18}q^{4}+\zeta_{42}^{2}q^{7}+\cdots\)
1911.1.ea.a \(24\) \(0.954\) \(\Q(\zeta_{84})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{84}^{33}q^{3}+\zeta_{84}q^{4}+\zeta_{84}^{32}q^{7}+\cdots\)
1911.1.ep.a \(24\) \(0.954\) \(\Q(\zeta_{84})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{84}^{13}q^{3}+\zeta_{84}^{39}q^{4}+\zeta_{84}^{37}q^{7}+\cdots\)
1911.2.a.a \(1\) \(15.259\) \(\Q\) None None \(-2\) \(1\) \(1\) \(0\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots\)
1911.2.a.b \(1\) \(15.259\) \(\Q\) None None \(-1\) \(-1\) \(-4\) \(0\) \(+\) \(q-q^{2}-q^{3}-q^{4}-4q^{5}+q^{6}+3q^{8}+\cdots\)
1911.2.a.c \(1\) \(15.259\) \(\Q\) None None \(-1\) \(1\) \(4\) \(0\) \(-\) \(q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}+3q^{8}+\cdots\)
1911.2.a.d \(1\) \(15.259\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-2q^{4}-q^{5}+q^{9}-2q^{11}+2q^{12}+\cdots\)
1911.2.a.e \(1\) \(15.259\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}-2q^{4}+q^{5}+q^{9}-2q^{11}-2q^{12}+\cdots\)
1911.2.a.f \(1\) \(15.259\) \(\Q\) None None \(1\) \(1\) \(-2\) \(0\) \(+\) \(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{8}+\cdots\)
1911.2.a.g \(1\) \(15.259\) \(\Q\) None None \(2\) \(-1\) \(-1\) \(0\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
1911.2.a.h \(2\) \(15.259\) \(\Q(\sqrt{2}) \) None None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+2\beta q^{5}+\cdots\)
1911.2.a.i \(2\) \(15.259\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(0\) \(+\) \(q+\beta q^{2}-q^{3}+q^{5}-\beta q^{6}-2\beta q^{8}+\cdots\)
1911.2.a.j \(2\) \(15.259\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}+q^{3}-q^{5}+\beta q^{6}-2\beta q^{8}+\cdots\)
1911.2.a.k \(2\) \(15.259\) \(\Q(\sqrt{2}) \) None None \(2\) \(2\) \(0\) \(0\) \(-\) \(q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(1+\beta )q^{6}+\cdots\)
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