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Results (30 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 23
3174.2.a.a 3174.a 1.a $1$ $25.345$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-5q^{7}+\cdots\)
3174.2.a.b 3174.a 1.a $1$ $25.345$ \(\Q\) None \(-1\) \(-1\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+2q^{7}+\cdots\)
3174.2.a.c 3174.a 1.a $1$ $25.345$ \(\Q\) None \(-1\) \(-1\) \(2\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+5q^{7}+\cdots\)
3174.2.a.d 3174.a 1.a $1$ $25.345$ \(\Q\) None \(-1\) \(1\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
3174.2.a.e 3174.a 1.a $1$ $25.345$ \(\Q\) None \(1\) \(-1\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots\)
3174.2.a.f 3174.a 1.a $1$ $25.345$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
3174.2.a.g 3174.a 1.a $1$ $25.345$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
3174.2.a.h 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+\beta q^{7}-q^{8}+\cdots\)
3174.2.a.i 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-\beta q^{7}+\cdots\)
3174.2.a.j 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
3174.2.a.k 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{6}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots\)
3174.2.a.l 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+3\beta q^{7}+\cdots\)
3174.2.a.m 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+3\beta q^{5}-q^{6}+\beta q^{7}+\cdots\)
3174.2.a.n 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2\beta q^{5}-q^{6}-\beta q^{7}+\cdots\)
3174.2.a.o 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{41}) \) None \(2\) \(2\) \(-1\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-\beta q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
3174.2.a.p 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+q^{8}+\cdots\)
3174.2.a.q 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-\beta q^{7}+q^{8}+\cdots\)
3174.2.a.r 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{41}) \) None \(2\) \(2\) \(1\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
3174.2.a.s 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
3174.2.a.t 3174.a 1.a $4$ $25.345$ \(\Q(\sqrt{3}, \sqrt{35})\) None \(-4\) \(-4\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
3174.2.a.u 3174.a 1.a $4$ $25.345$ \(\Q(\zeta_{24})^+\) None \(-4\) \(4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
3174.2.a.v 3174.a 1.a $4$ $25.345$ \(\Q(\zeta_{24})^+\) None \(4\) \(-4\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
3174.2.a.w 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(-5\) \(-5\) \(-1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(\beta _{2}-\beta _{3}-\beta _{4})q^{5}+\cdots\)
3174.2.a.x 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(-5\) \(-5\) \(1\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(\beta _{1}+\beta _{2}-\beta _{4})q^{5}+\cdots\)
3174.2.a.y 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(-5\) \(5\) \(-11\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-3-\beta _{2}+2\beta _{3}+\cdots)q^{5}+\cdots\)
3174.2.a.z 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(-5\) \(5\) \(11\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(2-\beta _{1}-\beta _{2}-\beta _{4})q^{5}+\cdots\)
3174.2.a.ba 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(5\) \(-5\) \(-1\) \(11\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(\beta _{2}+\beta _{3}+\beta _{4})q^{5}+\cdots\)
3174.2.a.bb 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(5\) \(-5\) \(1\) \(-11\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(1-2\beta _{1}+\beta _{2}+\beta _{4})q^{5}+\cdots\)
3174.2.a.bc 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(5\) \(5\) \(-7\) \(-7\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{3}+\beta _{4})q^{5}+\cdots\)
3174.2.a.bd 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(5\) \(5\) \(7\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(1+\beta _{3}-\beta _{4})q^{5}+\cdots\)
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