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Results (displaying matches 1-50 of 211) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2112.1.g.a \(1\) \(1.054\) \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-33}) \) \(\Q(\sqrt{3}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{11}-2q^{23}+q^{25}+\cdots\)
2112.1.g.b \(1\) \(1.054\) \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-33}) \) \(\Q(\sqrt{3}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{11}+2q^{23}+q^{25}+\cdots\)
2112.1.g.c \(2\) \(1.054\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
2112.1.g.d \(2\) \(1.054\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}+\cdots\)
2112.1.p.a \(2\) \(1.054\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{66}) \) \(0\) \(0\) \(-4\) \(0\) \(q-iq^{3}-q^{5}-q^{9}+iq^{11}+2iq^{15}+\cdots\)
2112.1.p.b \(2\) \(1.054\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{66}) \) \(0\) \(0\) \(4\) \(0\) \(q-iq^{3}+q^{5}-q^{9}+iq^{11}-2iq^{15}+\cdots\)
2112.1.p.c \(4\) \(1.054\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{12}q^{3}-q^{5}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{11}+\cdots\)
2112.1.p.d \(4\) \(1.054\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}q^{3}+q^{5}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{11}+\cdots\)
2112.1.bh.a \(8\) \(1.054\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{20}^{7}q^{3}+(\zeta_{20}^{4}+\zeta_{20}^{8})q^{5}+(-\zeta_{20}^{7}+\cdots)q^{7}+\cdots\)
2112.1.bh.b \(8\) \(1.054\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{20}^{7}q^{3}+(-\zeta_{20}^{4}-\zeta_{20}^{8})q^{5}+\cdots\)
2112.1.bj.a \(8\) \(1.054\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{20}^{3}q^{3}+\zeta_{20}^{6}q^{9}+\zeta_{20}q^{11}+\cdots\)
2112.1.bj.b \(8\) \(1.054\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{9}q^{3}-\zeta_{20}^{8}q^{9}-\zeta_{20}q^{11}+\cdots\)
2112.2.a.a \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-4\) \(-2\) \(-\) \(q-q^{3}-4q^{5}-2q^{7}+q^{9}+q^{11}+4q^{15}+\cdots\)
2112.2.a.b \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-2\) \(-\) \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
2112.2.a.c \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-2\) \(+\) \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.d \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) \(+\) \(q-q^{3}-2q^{5}+q^{9}+q^{11}-2q^{13}+\cdots\)
2112.2.a.e \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(4\) \(-\) \(q-q^{3}-2q^{5}+4q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
2112.2.a.f \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(4\) \(-\) \(q-q^{3}-2q^{5}+4q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.g \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.h \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}-2q^{17}+\cdots\)
2112.2.a.i \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(-\) \(q-q^{3}+2q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
2112.2.a.j \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(2\) \(-4\) \(+\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.k \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(2\) \(-2\) \(-\) \(q-q^{3}+2q^{5}-2q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.l \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+q^{11}+6q^{13}+\cdots\)
2112.2.a.m \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(2\) \(4\) \(-\) \(q-q^{3}+2q^{5}+4q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
2112.2.a.n \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(4\) \(-2\) \(+\) \(q-q^{3}+4q^{5}-2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.o \(1\) \(16.864\) \(\Q\) None None \(0\) \(-1\) \(4\) \(-2\) \(-\) \(q-q^{3}+4q^{5}-2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.p \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-4\) \(2\) \(+\) \(q+q^{3}-4q^{5}+2q^{7}+q^{9}-q^{11}-4q^{15}+\cdots\)
2112.2.a.q \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-4\) \(-\) \(q+q^{3}-2q^{5}-4q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.r \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-4\) \(+\) \(q+q^{3}-2q^{5}-4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
2112.2.a.s \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) \(-\) \(q+q^{3}-2q^{5}+q^{9}-q^{11}-2q^{13}+\cdots\)
2112.2.a.t \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-2\) \(2\) \(+\) \(q+q^{3}-2q^{5}+2q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
2112.2.a.u \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(-2\) \(2\) \(-\) \(q+q^{3}-2q^{5}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.v \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
2112.2.a.w \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{3}-2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.x \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(-\) \(q+q^{3}-2q^{7}+q^{9}+q^{11}-2q^{17}+\cdots\)
2112.2.a.y \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(2\) \(-4\) \(+\) \(q+q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
2112.2.a.z \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(2\) \(0\) \(-\) \(q+q^{3}+2q^{5}+q^{9}-q^{11}+6q^{13}+\cdots\)
2112.2.a.ba \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(2\) \(2\) \(-\) \(q+q^{3}+2q^{5}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.bb \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(2\) \(4\) \(-\) \(q+q^{3}+2q^{5}+4q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.bc \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(4\) \(2\) \(-\) \(q+q^{3}+4q^{5}+2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.bd \(1\) \(16.864\) \(\Q\) None None \(0\) \(1\) \(4\) \(2\) \(-\) \(q+q^{3}+4q^{5}+2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.be \(2\) \(16.864\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(-2\) \(2\) \(+\) \(q-q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
2112.2.a.bf \(2\) \(16.864\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(-2\) \(+\) \(q+q^{3}+(-1-\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
2112.2.a.bg \(3\) \(16.864\) 3.3.229.1 None None \(0\) \(-3\) \(0\) \(4\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}-q^{11}+\cdots\)
2112.2.a.bh \(3\) \(16.864\) 3.3.229.1 None None \(0\) \(3\) \(0\) \(-4\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+q^{9}+\cdots\)
2112.2.b.a \(2\) \(16.864\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q+(-1+\beta )q^{3}+\beta q^{5}+\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.b \(2\) \(16.864\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q+(-1-\beta )q^{3}+\beta q^{5}-3\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.c \(2\) \(16.864\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q+(-1+\beta )q^{3}+\beta q^{5}-\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.d \(2\) \(16.864\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q+(-1-\beta )q^{3}+\beta q^{5}+3\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
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