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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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