Hi,

Suppose for example E =[x,x^2,x+1] is a list of elements in \ZZ[x]. Let K be a number field defined in Sage

for some irreducible polynomial f(x). Then how can one evaluate the list E by setting x=a and x=\sigma(a) (conjugate of a) in Sage?

1 | initial version |

Hi,

Suppose for example E =[x,x^2,x+1] is a list of elements in \ZZ[x]. Let K be a number field defined in Sage

for some irreducible polynomial f(x). Then how can one evaluate the list E by setting x=a and x=\sigma(a) (conjugate of a) in Sage?

2 | No.2 Revision |

Hi,

Suppose for example `E `

is a list of elements in ~~=[x,x^2,x+1] ~~=[x,x^2,x+1]~~\ZZ[x]. ~~`ZZ[x]`

. Let ~~K ~~`K`

be a number field defined in Sage

K.<a>

`K.<a> =`

~~NumberField(f(x))~~`NumberField(f(x))`

for some irreducible polynomial ~~f(x). ~~$f(x)$. Then how can one evaluate the list ~~E ~~`E`

by setting ~~x=a ~~$x=a$ and ~~x=\sigma(a) ~~$x=\sigma(a)$ (conjugate of a) in Sage?

3 | No.3 Revision |

Hi,

Suppose for example `E =[x,x^2,x+1]`

is a list of elements in `ZZ[x]`

. Let `K`

be a number field defined in Sage

```
K.<a> = NumberField(f(x))
```

for some irreducible polynomial $f(x)$. Then how can one evaluate the list `E`

by setting $x=a$ and $x=\sigma(a)$ (conjugate of a) in Sage?