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Results (23 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7
4032.2.a.a 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-4\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}-q^{7}+2q^{17}-2q^{19}+8q^{23}+\cdots\)
4032.2.a.c 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-4\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}-2q^{11}+2q^{13}+4q^{19}+\cdots\)
4032.2.a.d 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-4\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}+2q^{17}+2q^{19}-8q^{23}+\cdots\)
4032.2.a.f 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-4q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.g 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.l 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+2q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.p 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-4q^{11}+4q^{13}+2q^{17}+6q^{19}+\cdots\)
4032.2.a.r 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}+4q^{13}-6q^{17}+2q^{19}-5q^{25}+\cdots\)
4032.2.a.t 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}+6q^{11}-2q^{13}-4q^{19}-6q^{23}+\cdots\)
4032.2.a.u 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-6q^{11}-2q^{13}+4q^{19}+6q^{23}+\cdots\)
4032.2.a.v 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-4q^{11}-2q^{13}+4q^{17}+4q^{23}+\cdots\)
4032.2.a.w 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{13}-6q^{17}-2q^{19}-5q^{25}+\cdots\)
4032.2.a.x 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}+2q^{11}+2q^{13}-4q^{17}-4q^{19}+\cdots\)
4032.2.a.y 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{11}-2q^{13}-4q^{17}-4q^{23}+\cdots\)
4032.2.a.bc 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}-6q^{13}+2q^{17}+4q^{19}+\cdots\)
4032.2.a.bd 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
4032.2.a.bf 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
4032.2.a.bg 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-2q^{11}-2q^{13}-6q^{17}+\cdots\)
4032.2.a.bh 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
4032.2.a.bo 4032.a 1.a $2$ $32.196$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots\)
4032.2.a.br 4032.a 1.a $2$ $32.196$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-q^{7}+(2-\beta )q^{11}-2q^{13}+\cdots\)
4032.2.a.bu 4032.a 1.a $2$ $32.196$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}-2\beta q^{13}+\cdots\)
4032.2.a.bw 4032.a 1.a $2$ $32.196$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+q^{7}+(-2-2\beta )q^{11}+\cdots\)
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