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Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2112.1.g.a 2112.g 132.d $1$ $1.054$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-33}) \) \(\Q(\sqrt{3}) \) 528.1.g.a \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{11}-2q^{23}+q^{25}+\cdots\)
2112.1.g.b 2112.g 132.d $1$ $1.054$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-33}) \) \(\Q(\sqrt{3}) \) 528.1.g.a \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{11}+2q^{23}+q^{25}+\cdots\)
2112.1.g.c 2112.g 132.d $2$ $1.054$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None 528.1.g.c \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
2112.1.g.d 2112.g 132.d $2$ $1.054$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None 528.1.g.c \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}+\cdots\)
2112.1.p.a 2112.p 264.p $2$ $1.054$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{66}) \) 2112.1.p.a \(0\) \(0\) \(-4\) \(0\) \(q-iq^{3}-q^{5}-q^{9}+iq^{11}+2iq^{15}+\cdots\)
2112.1.p.b 2112.p 264.p $2$ $1.054$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{66}) \) 2112.1.p.a \(0\) \(0\) \(4\) \(0\) \(q-iq^{3}+q^{5}-q^{9}+iq^{11}-2iq^{15}+\cdots\)
2112.1.p.c 2112.p 264.p $4$ $1.054$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None 2112.1.p.c \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{12}q^{3}-q^{5}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{11}+\cdots\)
2112.1.p.d 2112.p 264.p $4$ $1.054$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None 2112.1.p.c \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}q^{3}+q^{5}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{11}+\cdots\)
2112.1.bh.a 2112.bh 264.r $8$ $1.054$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-6}) \) None 2112.1.bh.a \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{20}^{7}q^{3}+(\zeta_{20}^{4}+\zeta_{20}^{8})q^{5}+(-\zeta_{20}^{7}+\cdots)q^{7}+\cdots\)
2112.1.bh.b 2112.bh 264.r $8$ $1.054$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-6}) \) None 2112.1.bh.a \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{20}^{7}q^{3}+(-\zeta_{20}^{4}-\zeta_{20}^{8})q^{5}+\cdots\)
2112.1.bj.a 2112.bj 264.t $8$ $1.054$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-2}) \) None 2112.1.bj.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{20}^{3}q^{3}+\zeta_{20}^{6}q^{9}+\zeta_{20}q^{11}+\cdots\)
2112.1.bj.b 2112.bj 264.t $8$ $1.054$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-2}) \) None 2112.1.bj.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{9}q^{3}-\zeta_{20}^{8}q^{9}-\zeta_{20}q^{11}+\cdots\)
2112.2.a.a 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.d \(0\) \(-1\) \(-4\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}-2q^{7}+q^{9}+q^{11}+4q^{15}+\cdots\)
2112.2.a.b 2112.a 1.a $1$ $16.864$ \(\Q\) None None 132.2.a.a \(0\) \(-1\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
2112.2.a.c 2112.a 1.a $1$ $16.864$ \(\Q\) None None 132.2.a.b \(0\) \(-1\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.d 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.a \(0\) \(-1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+q^{11}-2q^{13}+\cdots\)
2112.2.a.e 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.b \(0\) \(-1\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+4q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
2112.2.a.f 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.e \(0\) \(-1\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+4q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.g 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.d \(0\) \(-1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.h 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.c \(0\) \(-1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-q^{11}-2q^{17}+\cdots\)
2112.2.a.i 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.a \(0\) \(-1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
2112.2.a.j 2112.a 1.a $1$ $16.864$ \(\Q\) None None 33.2.a.a \(0\) \(-1\) \(2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-4q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.k 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.c \(0\) \(-1\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-2q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.l 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.b \(0\) \(-1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+q^{11}+6q^{13}+\cdots\)
2112.2.a.m 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.b \(0\) \(-1\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+4q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
2112.2.a.n 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.c \(0\) \(-1\) \(4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}-2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.o 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.a \(0\) \(-1\) \(4\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}-2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.p 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.d \(0\) \(1\) \(-4\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}+2q^{7}+q^{9}-q^{11}-4q^{15}+\cdots\)
2112.2.a.q 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.e \(0\) \(1\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}-4q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.r 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.b \(0\) \(1\) \(-2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}-4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
2112.2.a.s 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.a \(0\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-q^{11}-2q^{13}+\cdots\)
2112.2.a.t 2112.a 1.a $1$ $16.864$ \(\Q\) None None 132.2.a.a \(0\) \(1\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+2q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
2112.2.a.u 2112.a 1.a $1$ $16.864$ \(\Q\) None None 132.2.a.b \(0\) \(1\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.v 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.a \(0\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
2112.2.a.w 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.d \(0\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.x 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.c \(0\) \(1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}+q^{11}-2q^{17}+\cdots\)
2112.2.a.y 2112.a 1.a $1$ $16.864$ \(\Q\) None None 264.2.a.b \(0\) \(1\) \(2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
2112.2.a.z 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.b \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}-q^{11}+6q^{13}+\cdots\)
2112.2.a.ba 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.c \(0\) \(1\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
2112.2.a.bb 2112.a 1.a $1$ $16.864$ \(\Q\) None None 33.2.a.a \(0\) \(1\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+4q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
2112.2.a.bc 2112.a 1.a $1$ $16.864$ \(\Q\) None None 1056.2.a.a \(0\) \(1\) \(4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+2q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
2112.2.a.bd 2112.a 1.a $1$ $16.864$ \(\Q\) None None 66.2.a.c \(0\) \(1\) \(4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
2112.2.a.be 2112.a 1.a $2$ $16.864$ \(\Q(\sqrt{5}) \) None None 1056.2.a.k \(0\) \(-2\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
2112.2.a.bf 2112.a 1.a $2$ $16.864$ \(\Q(\sqrt{5}) \) None None 1056.2.a.k \(0\) \(2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
2112.2.a.bg 2112.a 1.a $3$ $16.864$ 3.3.229.1 None None 1056.2.a.m \(0\) \(-3\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}-q^{11}+\cdots\)
2112.2.a.bh 2112.a 1.a $3$ $16.864$ 3.3.229.1 None None 1056.2.a.m \(0\) \(3\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+q^{9}+\cdots\)
2112.2.b.a 2112.b 33.d $2$ $16.864$ \(\Q(\sqrt{-2}) \) None None 1056.2.b.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+\beta )q^{3}+\beta q^{5}+\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.b 2112.b 33.d $2$ $16.864$ \(\Q(\sqrt{-2}) \) None None 66.2.b.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\beta )q^{3}+\beta q^{5}-3\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.c 2112.b 33.d $2$ $16.864$ \(\Q(\sqrt{-2}) \) None None 1056.2.b.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+\beta )q^{3}+\beta q^{5}-\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
2112.2.b.d 2112.b 33.d $2$ $16.864$ \(\Q(\sqrt{-2}) \) None None 66.2.b.a \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\beta )q^{3}+\beta q^{5}+3\beta q^{7}+(-1+\cdots)q^{9}+\cdots\)
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