# how to run CyclotomicField([zeta7+zeta7^-1]?

```
- LL.<x>=CyclotomicField(7);LL
Cyclotomic Field of order 7 and
degree 6
x.conjugate()
-x^5 - x^4 - x^3 - x^2 - x - 1
LL.<c>=CyclotomicField(-x^5 - x^4 - x^3 - x^2 - 1);LL
Traceback (click to the left of this block for traceback)
...
TypeError: Unable to
coerce -x^5 - x^4 - x^3 - x^2 - 1 to
an integer
s=LL.gen() + (LL.gen()).conjugate();s
LL.<y>=CyclotomicField(s);LL
Traceback (click to the left of this
block for traceback) ... TypeError:
Unable to coerce -x^5 - x^4 - x^3 -
x^2 - 1 to an integer
KK.<s> = NumberField(-x^5 - x^4 - x^3 - x^2 - 1); KK
Traceback (click to the left of this block for traceback)
... NotImplementedError: number
fields for non-monic polynomials not
yet implemented.
KKK.<s> = NumberField(x^5 + x^4 + x^3 + x^2 + 1); KKK
Number Field in s with defining polynomial x^5 + x^4 +
x^3 + x^2 + 1
```

KKK is same with Q[zeta7+zeta7^-1]?

@cjsh: Please format your posts properly next time. Most likely you will get a reply sooner (if someone who knows this stuff happens to read it).