Learn more

Refine search


Results (1-50 of 74 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
125.2.a.a 125.a 1.a $2$ $0.998$ \(\Q(\sqrt{5}) \) None \(-1\) \(-3\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
125.2.a.b 125.a 1.a $2$ $0.998$ \(\Q(\sqrt{5}) \) None \(1\) \(3\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
125.2.a.c 125.a 1.a $4$ $0.998$ 4.4.4400.1 None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{2}-\beta _{1}q^{3}+(1-2\beta _{2})q^{4}+(1+\cdots)q^{6}+\cdots\)
125.2.b.a 125.b 5.b $4$ $0.998$ 4.0.4400.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{2}-\beta _{1}q^{3}+(-1-2\beta _{2})q^{4}+\cdots\)
125.2.b.b 125.b 5.b $4$ $0.998$ \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(\beta _{1}+2\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
125.2.d.a 125.d 25.d $4$ $0.998$ \(\Q(\zeta_{10})\) None \(2\) \(1\) \(0\) \(2\) $\mathrm{SU}(2)[C_{5}]$ \(q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots\)
125.2.d.b 125.d 25.d $16$ $0.998$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{5}]$ \(q+\beta _{6}q^{2}+(\beta _{6}+\beta _{12}+\beta _{13}-\beta _{14}+\cdots)q^{3}+\cdots\)
125.2.e.a 125.e 25.e $8$ $0.998$ \(\Q(\zeta_{20})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{10}]$ \(q+(-\zeta_{20}+\zeta_{20}^{3}-\zeta_{20}^{5})q^{2}-\zeta_{20}q^{3}+\cdots\)
125.2.e.b 125.e 25.e $8$ $0.998$ 8.0.58140625.2 None \(5\) \(5\) \(0\) \(0\) $\mathrm{SU}(2)[C_{10}]$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{2}+\beta _{3}-\beta _{7})q^{3}+\cdots\)
125.2.g.a 125.g 125.g $220$ $0.998$ None \(-20\) \(-20\) \(-15\) \(-15\) $\mathrm{SU}(2)[C_{25}]$
125.2.h.a 125.h 125.h $240$ $0.998$ None \(-20\) \(-20\) \(-25\) \(-25\) $\mathrm{SU}(2)[C_{50}]$
125.3.c.a 125.c 5.c $16$ $3.406$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{2}+(\beta _{11}+\beta _{12})q^{3}+(-\beta _{7}-\beta _{10}+\cdots)q^{4}+\cdots\)
125.3.c.b 125.c 5.c $16$ $3.406$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{4}q^{2}+\beta _{13}q^{3}+(3\beta _{7}+\beta _{12})q^{4}+\cdots\)
125.3.f.a 125.f 25.f $32$ $3.406$ None \(0\) \(0\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{20}]$
125.3.f.b 125.f 25.f $32$ $3.406$ None \(0\) \(0\) \(0\) \(10\) $\mathrm{SU}(2)[C_{20}]$
125.3.f.c 125.f 25.f $32$ $3.406$ None \(10\) \(10\) \(0\) \(10\) $\mathrm{SU}(2)[C_{20}]$
125.3.i.a 125.i 125.i $960$ $3.406$ None \(-40\) \(-40\) \(-40\) \(-40\) $\mathrm{SU}(2)[C_{100}]$
125.4.a.a 125.a 1.a $4$ $7.375$ 4.4.12400.1 None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(-1+2\beta _{2}+\cdots)q^{4}+\cdots\)
125.4.a.b 125.a 1.a $6$ $7.375$ 6.6.497918125.1 None \(-7\) \(-14\) \(0\) \(-67\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2})q^{2}+(-2-\beta _{1})q^{3}+(5+\cdots)q^{4}+\cdots\)
125.4.a.c 125.a 1.a $6$ $7.375$ 6.6.497918125.1 None \(7\) \(14\) \(0\) \(67\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{2}+(2+\beta _{1})q^{3}+(5-\beta _{2}+\cdots)q^{4}+\cdots\)
125.4.a.d 125.a 1.a $8$ $7.375$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{2}+\beta _{4}q^{3}+(5-\beta _{3})q^{4}+(5-\beta _{1}+\cdots)q^{6}+\cdots\)
125.4.b.a 125.b 5.b $4$ $7.375$ 4.0.12400.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3})q^{3}+(1+2\beta _{2})q^{4}+\cdots\)
125.4.b.b 125.b 5.b $8$ $7.375$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}+\beta _{4}q^{3}+(-5-\beta _{3})q^{4}+(5+\cdots)q^{6}+\cdots\)
125.4.b.c 125.b 5.b $12$ $7.375$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}+\beta _{5}q^{3}+(-6-\beta _{2})q^{4}+(-3+\cdots)q^{6}+\cdots\)
125.4.d.a 125.d 25.d $28$ $7.375$ None \(1\) \(7\) \(0\) \(16\) $\mathrm{SU}(2)[C_{5}]$
125.4.d.b 125.d 25.d $48$ $7.375$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{5}]$
125.4.e.a 125.e 25.e $24$ $7.375$ None \(5\) \(5\) \(0\) \(0\) $\mathrm{SU}(2)[C_{10}]$
125.4.e.b 125.e 25.e $56$ $7.375$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{10}]$
125.4.g.a 125.g 125.g $740$ $7.375$ None \(-20\) \(-20\) \(0\) \(-15\) $\mathrm{SU}(2)[C_{25}]$
125.4.h.a 125.h 125.h $720$ $7.375$ None \(-20\) \(-20\) \(-40\) \(-25\) $\mathrm{SU}(2)[C_{50}]$
125.5.c.a 125.c 5.c $32$ $12.921$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
125.5.c.b 125.c 5.c $32$ $12.921$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
125.5.f.a 125.f 25.f $72$ $12.921$ None \(-2\) \(-12\) \(0\) \(-42\) $\mathrm{SU}(2)[C_{20}]$
125.5.f.b 125.f 25.f $72$ $12.921$ None \(2\) \(12\) \(0\) \(42\) $\mathrm{SU}(2)[C_{20}]$
125.5.f.c 125.f 25.f $72$ $12.921$ None \(8\) \(-2\) \(0\) \(-42\) $\mathrm{SU}(2)[C_{20}]$
125.5.i.a 125.i 125.i $1960$ $12.921$ None \(-40\) \(-40\) \(-40\) \(-40\) $\mathrm{SU}(2)[C_{100}]$
125.6.a.a 125.a 1.a $8$ $20.048$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{6}q^{2}+(-\beta _{1}-\beta _{6})q^{3}+(4-2\beta _{2}+\cdots)q^{4}+\cdots\)
125.6.a.b 125.a 1.a $10$ $20.048$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-9\) \(-47\) \(0\) \(-394\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-5-\beta _{7})q^{3}+(15+\cdots)q^{4}+\cdots\)
125.6.a.c 125.a 1.a $10$ $20.048$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(9\) \(47\) \(0\) \(394\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(5+\beta _{7})q^{3}+(15-2\beta _{1}+\cdots)q^{4}+\cdots\)
125.6.a.d 125.a 1.a $12$ $20.048$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{7}q^{2}-\beta _{6}q^{3}+(26+\beta _{1}-\beta _{2})q^{4}+\cdots\)
125.6.b.a 125.b 5.b $8$ $20.048$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{7})q^{3}+(-4-2\beta _{2}+\cdots)q^{4}+\cdots\)
125.6.b.b 125.b 5.b $12$ $20.048$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{7}q^{2}-\beta _{6}q^{3}+(-26+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
125.6.b.c 125.b 5.b $20$ $20.048$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{10}q^{2}+\beta _{13}q^{3}+(-14-\beta _{1})q^{4}+\cdots\)
125.7.c.a 125.c 5.c $48$ $28.757$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
125.7.c.b 125.c 5.c $48$ $28.757$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
125.8.a.a 125.a 1.a $12$ $39.048$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{8})q^{3}+(6^{2}+4\beta _{2}+\cdots)q^{4}+\cdots\)
125.8.a.b 125.a 1.a $14$ $39.048$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-101\) \(0\) \(-2658\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-7+\beta _{6})q^{3}+(60+2\beta _{1}+\cdots)q^{4}+\cdots\)
125.8.a.c 125.a 1.a $14$ $39.048$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(3\) \(101\) \(0\) \(2658\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(7-\beta _{6})q^{3}+(60+2\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
125.8.a.d 125.a 1.a $16$ $39.048$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{10}q^{3}+(87+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
125.8.b.a 125.b 5.b $12$ $39.048$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{8})q^{3}+(-6^{2}-4\beta _{2}+\cdots)q^{4}+\cdots\)
Next   Download to