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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
8100.2.a.a \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-2q^{7}-6q^{11}-5q^{13}+3q^{17}+2q^{19}+\cdots\)
8100.2.a.b \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-2q^{7}-3q^{11}+4q^{13}+6q^{17}-7q^{19}+\cdots\)
8100.2.a.c \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}-q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots\)
8100.2.a.d \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}+q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots\)
8100.2.a.e \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-2q^{7}+3q^{11}+4q^{13}-6q^{17}-7q^{19}+\cdots\)
8100.2.a.f \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-2q^{7}+6q^{11}-5q^{13}-3q^{17}+2q^{19}+\cdots\)
8100.2.a.g \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+q^{7}-3q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots\)
8100.2.a.h \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+q^{7}+4q^{13}-6q^{17}+2q^{19}-3q^{23}+\cdots\)
8100.2.a.i \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(q+q^{7}+4q^{13}+6q^{17}+2q^{19}+3q^{23}+\cdots\)
8100.2.a.j \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(1\) \(-\) \(q+q^{7}+3q^{11}+q^{13}-6q^{17}-4q^{19}+\cdots\)
8100.2.a.k \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}-q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots\)
8100.2.a.l \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}+q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots\)
8100.2.a.m \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(4\) \(-\) \(q+4q^{7}-3q^{11}+4q^{13}+5q^{19}-6q^{23}+\cdots\)
8100.2.a.n \(1\) \(64.679\) \(\Q\) None \(0\) \(0\) \(0\) \(4\) \(-\) \(q+4q^{7}+3q^{11}+4q^{13}+5q^{19}+6q^{23}+\cdots\)
8100.2.a.o \(2\) \(64.679\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(q+(-1-\beta )q^{7}+(-2-\beta )q^{11}+(3+\beta )q^{13}+\cdots\)
8100.2.a.p \(2\) \(64.679\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(-1\) \(-\) \(q+(-1-\beta )q^{7}+(2+\beta )q^{11}+(3+\beta )q^{13}+\cdots\)
8100.2.a.q \(2\) \(64.679\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+(1+\beta )q^{7}+(-2-\beta )q^{11}+(-3-\beta )q^{13}+\cdots\)
8100.2.a.r \(2\) \(64.679\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+(1+\beta )q^{7}+(2+\beta )q^{11}+(-3-\beta )q^{13}+\cdots\)
8100.2.a.s \(2\) \(64.679\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+(1+\beta )q^{7}-\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.t \(2\) \(64.679\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+(1+\beta )q^{7}+\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.u \(3\) \(64.679\) 3.3.564.1 None \(0\) \(0\) \(0\) \(-3\) \(+\) \(q+(-1+\beta _{1})q^{7}+\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots\)
8100.2.a.v \(3\) \(64.679\) 3.3.564.1 None \(0\) \(0\) \(0\) \(-3\) \(-\) \(q+(-1+\beta _{1})q^{7}-\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots\)
8100.2.a.w \(4\) \(64.679\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q+\beta _{2}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
8100.2.a.x \(4\) \(64.679\) 4.4.3981.1 None \(0\) \(0\) \(0\) \(-1\) \(+\) \(q+\beta _{2}q^{7}+(-1-\beta _{2})q^{11}-\beta _{1}q^{13}+\cdots\)
8100.2.a.y \(4\) \(64.679\) 4.4.3981.1 None \(0\) \(0\) \(0\) \(-1\) \(-\) \(q+\beta _{2}q^{7}+(1+\beta _{2})q^{11}-\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots\)
8100.2.a.z \(4\) \(64.679\) 4.4.3981.1 None \(0\) \(0\) \(0\) \(1\) \(-\) \(q-\beta _{2}q^{7}+(-1-\beta _{2})q^{11}+\beta _{1}q^{13}+\cdots\)
8100.2.a.ba \(4\) \(64.679\) 4.4.3981.1 None \(0\) \(0\) \(0\) \(1\) \(+\) \(q-\beta _{2}q^{7}+(1+\beta _{2})q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots\)
8100.2.a.bb \(4\) \(64.679\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(2\) \(-\) \(q-\beta _{2}q^{7}+\beta _{3}q^{11}-\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
8100.2.a.bc \(6\) \(64.679\) 6.6.1207701504.1 None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-\beta _{3}q^{7}+\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots\)
8100.2.a.bd \(6\) \(64.679\) 6.6.1207701504.1 None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-\beta _{3}q^{7}-\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots\)
8100.2.a.be \(8\) \(64.679\) 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta _{4}q^{7}+(-\beta _{2}+\beta _{7})q^{11}-\beta _{6}q^{13}+\cdots\)
8100.2.d.a \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{7}-6q^{11}-5iq^{13}-3iq^{17}+\cdots\)
8100.2.d.b \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{7}-3q^{11}-2iq^{13}-5q^{19}+\cdots\)
8100.2.d.c \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}-3q^{11}-iq^{13}+6iq^{17}+\cdots\)
8100.2.d.d \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}-3q^{11}+2iq^{13}-3iq^{17}+\cdots\)
8100.2.d.e \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}-4iq^{13}+6iq^{17}-2q^{19}+\cdots\)
8100.2.d.f \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}-4iq^{13}-6iq^{17}-2q^{19}+\cdots\)
8100.2.d.g \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{7}+3q^{11}-2iq^{13}-5q^{19}+\cdots\)
8100.2.d.h \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}+3q^{11}-iq^{13}-6iq^{17}+\cdots\)
8100.2.d.i \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{7}+3q^{11}+2iq^{13}+3iq^{17}+\cdots\)
8100.2.d.j \(2\) \(64.679\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{7}+6q^{11}-5iq^{13}+3iq^{17}+\cdots\)
8100.2.d.k \(4\) \(64.679\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{7}+(-2+\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
8100.2.d.l \(4\) \(64.679\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots\)
8100.2.d.m \(4\) \(64.679\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots\)
8100.2.d.n \(4\) \(64.679\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{7}+(2-\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
8100.2.d.o \(6\) \(64.679\) 6.0.5089536.1 None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{3}+\beta _{4})q^{7}+\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots\)
8100.2.d.p \(6\) \(64.679\) 6.0.5089536.1 None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{3}+\beta _{4})q^{7}-\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots\)
8100.2.d.q \(8\) \(64.679\) 8.0.4057180416.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{7}+(-1-\beta _{1})q^{11}-\beta _{2}q^{13}+\cdots\)
8100.2.d.r \(8\) \(64.679\) 8.0.49787136.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{7}-\beta _{5}q^{11}-\beta _{1}q^{13}+\beta _{6}q^{17}+\cdots\)
8100.2.d.s \(8\) \(64.679\) 8.0.4057180416.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{7}+(1+\beta _{1})q^{11}-\beta _{2}q^{13}+(2\beta _{3}+\cdots)q^{17}+\cdots\)
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