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Results (13 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
328.1.c.a 328.c 328.c $1$ $0.164$ \(\Q\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-82}) \) \(\Q(\sqrt{41}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
1312.1.c.a 1312.c 328.c $1$ $0.655$ \(\Q\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-82}) \) \(\Q(\sqrt{41}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+q^{25}-q^{41}+2q^{43}-q^{49}+\cdots\)
2296.1.bo.a 2296.bo 2296.ao $2$ $1.146$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-82}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{7}+q^{8}+\cdots\)
2296.1.bo.b 2296.bo 2296.ao $2$ $1.146$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-82}) \) None \(-1\) \(0\) \(0\) \(1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{8}+\cdots\)
2296.1.bo.c 2296.bo 2296.ao $4$ $1.146$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-82}) \) None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+\cdots\)
2952.1.h.a 2952.h 328.c $1$ $1.473$ \(\Q\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-82}) \) \(\Q(\sqrt{41}) \) \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{16}+q^{25}+q^{32}+\cdots\)
2952.1.h.b 2952.h 328.c $2$ $1.473$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-82}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta q^{7}-q^{8}+\beta q^{13}+\beta q^{14}+\cdots\)
2952.1.h.c 2952.h 328.c $2$ $1.473$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-82}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta q^{7}+q^{8}+\beta q^{13}-\beta q^{14}+\cdots\)
328.3.c.a 328.c 328.c $2$ $8.937$ \(\Q(\sqrt{41}) \) \(\Q(\sqrt{-82}) \) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+4q^{4}+\beta q^{7}-8q^{8}+9q^{9}+\cdots\)
328.3.c.c 328.c 328.c $2$ $8.937$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-82}) \) None \(4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+4q^{4}+\beta q^{7}+8q^{8}+9q^{9}+\cdots\)
2624.2.g.b 2624.g 328.g $8$ $20.953$ 8.0.\(\cdots\).3 \(\Q(\sqrt{-82}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{6}q^{7}-3q^{9}-\beta _{5}q^{13}+5q^{25}+\cdots\)
1312.3.c.b 1312.c 328.c $2$ $35.749$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-82}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta q^{7}+9q^{9}-4\beta q^{13}+5^{2}q^{25}+\cdots\)
1312.3.c.c 1312.c 328.c $2$ $35.749$ \(\Q(\sqrt{41}) \) \(\Q(\sqrt{-82}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta q^{7}+9q^{9}-\beta q^{13}+5^{2}q^{25}-\beta q^{29}+\cdots\)
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