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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2100.1.m.a $1$ $1.048$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{105}) \) \(-1\) \(-1\) \(0\) \(1\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
2100.1.m.b $1$ $1.048$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{105}) \) \(-1\) \(1\) \(0\) \(-1\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
2100.1.m.c $1$ $1.048$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{105}) \) \(1\) \(-1\) \(0\) \(1\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
2100.1.m.d $1$ $1.048$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{105}) \) \(1\) \(1\) \(0\) \(-1\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
2100.1.u.a $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}^{9}q^{3}-\zeta_{24}^{7}q^{7}-\zeta_{24}^{6}q^{9}+\cdots\)
2100.1.u.b $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{3}+\zeta_{24}^{3}q^{7}+\zeta_{24}^{2}q^{9}+(-\zeta_{24}^{4}+\cdots)q^{11}+\cdots\)
2100.1.ba.a $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-1\) \(-2\) \(0\) \(-1\) $-$ \(q+\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots\)
2100.1.ba.b $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-1\) \(-1\) \(0\) \(1\) $-$ \(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
2100.1.ba.c $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(1\) \(1\) \(0\) \(-1\) $-$ \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
2100.1.ba.d $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(1\) \(2\) \(0\) \(1\) $-$ \(q-\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots\)
2100.1.bh.a $4$ $1.048$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{13}+\cdots\)
2100.1.bh.b $4$ $1.048$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{3}q^{13}+\cdots\)
2100.1.bn.a $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(2\) $-$ \(q+\zeta_{6}^{2}q^{3}+q^{7}-\zeta_{6}q^{9}+q^{13}-\zeta_{6}q^{19}+\cdots\)
2100.1.bn.b $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-2\) $-$ \(q-\zeta_{6}^{2}q^{3}-q^{7}-\zeta_{6}q^{9}-q^{13}-\zeta_{6}q^{19}+\cdots\)
2100.1.bn.c $2$ $1.048$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) $-$ \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+q^{13}+\cdots\)
2100.1.bq.a $8$ $1.048$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\zeta_{20}^{7}q^{2}+\zeta_{20}^{9}q^{3}-\zeta_{20}^{4}q^{4}+\cdots\)
2100.1.bq.b $8$ $1.048$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q+\zeta_{20}^{7}q^{2}-\zeta_{20}^{9}q^{3}-\zeta_{20}^{4}q^{4}+\cdots\)
2100.1.bs.a $4$ $1.048$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-21}) \) None \(-1\) \(-1\) \(-1\) \(4\) $-$ \(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots\)
2100.1.bs.b $4$ $1.048$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-21}) \) None \(-1\) \(1\) \(1\) \(-4\) $-$ \(q-\zeta_{10}^{3}q^{2}+\zeta_{10}q^{3}-\zeta_{10}q^{4}+\zeta_{10}q^{5}+\cdots\)
2100.1.bs.c $4$ $1.048$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-21}) \) None \(1\) \(-1\) \(1\) \(4\) $-$ \(q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}+\zeta_{10}q^{5}+\cdots\)
2100.1.bs.d $4$ $1.048$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-21}) \) None \(1\) \(1\) \(-1\) \(-4\) $-$ \(q+\zeta_{10}^{3}q^{2}+\zeta_{10}q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots\)
2100.1.cf.a $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}q^{2}+\zeta_{24}^{3}q^{3}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{4}q^{6}+\cdots\)
2100.1.cf.b $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots\)
2100.1.cj.a $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{3}+\zeta_{24}^{3}q^{7}+\zeta_{24}^{2}q^{9}+\zeta_{24}^{9}q^{13}+\cdots\)
2100.1.cj.b $8$ $1.048$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}q^{3}-\zeta_{24}^{11}q^{7}+\zeta_{24}^{2}q^{9}+\cdots\)
2100.2.a.a $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $-$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
2100.2.a.b $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $-$ \(q-q^{3}-q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
2100.2.a.c $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $+$ \(q-q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}+6q^{19}+\cdots\)
2100.2.a.d $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $-$ \(q-q^{3}-q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
2100.2.a.e $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
2100.2.a.f $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}-8q^{17}+\cdots\)
2100.2.a.g $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}+2q^{17}+\cdots\)
2100.2.a.h $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
2100.2.a.i $1$ $16.769$ \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
2100.2.a.j $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
2100.2.a.k $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
2100.2.a.l $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}+8q^{17}+\cdots\)
2100.2.a.m $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}-2q^{17}+\cdots\)
2100.2.a.n $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
2100.2.a.o $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $+$ \(q+q^{3}+q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots\)
2100.2.a.p $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $-$ \(q+q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}+6q^{19}+\cdots\)
2100.2.a.q $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $-$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
2100.2.a.r $1$ $16.769$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $-$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
2100.2.d.a $2$ $16.769$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(-4\) $-$ \(q+(-1-\zeta_{6})q^{3}+(-3+2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
2100.2.d.b $2$ $16.769$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-4\) $-$ \(q-\zeta_{6}q^{3}+(-2-\zeta_{6})q^{7}-3q^{9}+4\zeta_{6}q^{13}+\cdots\)
2100.2.d.c $2$ $16.769$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) $-$ \(q+(-1+2\zeta_{6})q^{3}+(1-3\zeta_{6})q^{7}-3q^{9}+\cdots\)
2100.2.d.d $2$ $16.769$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) $-$ \(q+(1-2\zeta_{6})q^{3}+(-1+3\zeta_{6})q^{7}-3q^{9}+\cdots\)
2100.2.d.e $2$ $16.769$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(-4\) $-$ \(q+(1+\zeta_{6})q^{3}+(-1-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
2100.2.d.f $4$ $16.769$ \(\Q(\sqrt{-2}, \sqrt{5})\) None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+(-1-\beta _{1})q^{3}+(\beta _{1}+\beta _{3})q^{7}+(-1+\cdots)q^{9}+\cdots\)
2100.2.d.g $4$ $16.769$ \(\Q(i, \sqrt{5})\) None None \(0\) \(-2\) \(0\) \(6\) $-$ \(q+(-1+\beta _{3})q^{3}+(1+\beta _{2}+\beta _{3})q^{7}+\cdots\)
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