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Results (15 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5
1600.2.a.f 1600.a 1.a $1$ $12.776$ \(\Q\) None 40.2.c.a \(0\) \(-2\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
1600.2.a.g 1600.a 1.a $1$ $12.776$ \(\Q\) None 800.2.a.b \(0\) \(-1\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}-2q^{9}-5q^{11}+5q^{17}+\cdots\)
1600.2.a.i 1600.a 1.a $1$ $12.776$ \(\Q\) None 50.2.a.a \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}-2q^{9}-3q^{11}-4q^{13}+\cdots\)
1600.2.a.j 1600.a 1.a $1$ $12.776$ \(\Q\) None 50.2.a.a \(0\) \(-1\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}-2q^{9}+3q^{11}+4q^{13}+\cdots\)
1600.2.a.k 1600.a 1.a $1$ $12.776$ \(\Q\) None 40.2.a.a \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{7}-3q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
1600.2.a.n 1600.a 1.a $1$ $12.776$ \(\Q\) \(\Q(\sqrt{-1}) \) 32.2.a.a \(0\) \(0\) \(0\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-3q^{9}+6q^{13}-2q^{17}+10q^{29}+\cdots\)
1600.2.a.s 1600.a 1.a $1$ $12.776$ \(\Q\) None 800.2.a.b \(0\) \(1\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}-2q^{9}+5q^{11}+5q^{17}+\cdots\)
1600.2.a.v 1600.a 1.a $1$ $12.776$ \(\Q\) None 40.2.c.a \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
1600.2.a.w 1600.a 1.a $1$ $12.776$ \(\Q\) None 20.2.a.a \(0\) \(2\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
1600.2.a.x 1600.a 1.a $1$ $12.776$ \(\Q\) None 200.2.a.a \(0\) \(3\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+2q^{7}+6q^{9}-q^{11}-4q^{13}+\cdots\)
1600.2.a.y 1600.a 1.a $1$ $12.776$ \(\Q\) None 200.2.a.a \(0\) \(3\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+2q^{7}+6q^{9}+q^{11}+4q^{13}+\cdots\)
1600.2.a.z 1600.a 1.a $2$ $12.776$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-5}) \) 160.2.c.b \(0\) \(-2\) \(0\) \(6\) $+$ $-$ $N(\mathrm{U}(1))$ \(q+(-1-\beta )q^{3}+(3-\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)
1600.2.a.bb 1600.a 1.a $2$ $12.776$ \(\Q(\sqrt{5}) \) None 800.2.a.k \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+2\beta q^{7}+2q^{9}+\beta q^{11}+4q^{13}+\cdots\)
1600.2.a.bc 1600.a 1.a $2$ $12.776$ \(\Q(\sqrt{2}) \) None 160.2.a.c \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+\beta q^{7}+5q^{9}+2\beta q^{11}-2q^{13}+\cdots\)
1600.2.a.bd 1600.a 1.a $2$ $12.776$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-5}) \) 160.2.c.b \(0\) \(2\) \(0\) \(-6\) $+$ $-$ $N(\mathrm{U}(1))$ \(q+(1+\beta )q^{3}+(-3+\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)
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