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Results (17 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
295.1.d.a 295.d 295.d $1$ $0.147$ \(\Q\) \(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-295}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}+q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
295.1.d.c 295.d 295.d $2$ $0.147$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\beta q^{2}+q^{4}-q^{5}+q^{9}+\beta q^{10}+\beta q^{13}+\cdots\)
1475.1.c.a 1475.c 59.b $1$ $0.736$ \(\Q\) \(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-295}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-q^{9}+q^{16}+2q^{19}+2q^{29}+\cdots\)
1475.1.c.c 1475.c 59.b $2$ $0.736$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{2}-q^{4}-q^{9}-\beta q^{13}-q^{16}+\cdots\)
2360.1.l.e 2360.l 2360.l $8$ $1.178$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+\zeta_{16}^{2}q^{4}+\zeta_{16}^{4}q^{5}-\zeta_{16}^{3}q^{8}+\cdots\)
2655.1.g.a 2655.g 295.d $1$ $1.325$ \(\Q\) \(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-295}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{4}-q^{5}+q^{16}-2q^{19}+q^{20}+\cdots\)
2655.1.g.c 2655.g 295.d $2$ $1.325$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(2\) \(0\) \(q-\beta q^{2}+q^{4}+q^{5}-\beta q^{10}-\beta q^{13}+\cdots\)
2655.1.g.d 2655.g 295.d $4$ $1.325$ \(\Q(\zeta_{16})^+\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
2655.1.g.e 2655.g 295.d $4$ $1.325$ \(\Q(\zeta_{16})^+\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
3835.1.c.e 3835.c 3835.c $8$ $1.914$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}-\zeta_{16}^{7})q^{2}+(-1+\zeta_{16}^{2}+\cdots)q^{4}+\cdots\)
3835.1.x.a 3835.x 3835.x $2$ $1.914$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-295}) \) None \(-1\) \(0\) \(2\) \(0\) \(q-\zeta_{6}q^{2}+q^{5}-q^{8}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{10}+\cdots\)
3835.1.x.b 3835.x 3835.x $2$ $1.914$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-295}) \) None \(1\) \(0\) \(2\) \(0\) \(q+\zeta_{6}q^{2}+q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{10}+\cdots\)
3835.1.x.c 3835.x 3835.x $4$ $1.914$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(4\) \(0\) \(q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
3835.1.x.d 3835.x 3835.x $8$ $1.914$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(-8\) \(0\) \(q+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}-\zeta_{24}^{4}+\cdots)q^{4}+\cdots\)
3835.1.ba.a 3835.ba 3835.aa $16$ $1.914$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{48}^{15}-\zeta_{48}^{17})q^{2}+(-\zeta_{48}^{6}+\zeta_{48}^{8}+\cdots)q^{4}+\cdots\)
295.3.d.a 295.d 295.d $4$ $8.038$ 4.4.4455680.1 \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(-20\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}-5q^{5}+(7\beta _{1}+\cdots)q^{8}+\cdots\)
295.3.d.b 295.d 295.d $4$ $8.038$ 4.4.23600.1 \(\Q(\sqrt{-295}) \) None \(0\) \(0\) \(20\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}+5q^{5}+(\beta _{1}+\beta _{3})q^{8}+\cdots\)
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