How to find teichmuller representation of 2 (for example)

Eric J. Van der Velden on Mon, 07 May 2018 22:18:22 +0200

How to find teichmuller representation of 2 (for example)

To: pari-users@pari.math.u-bordeaux.fr
Subject: How to find teichmuller representation of 2 (for example)
From: "Eric J. Van der Velden" <ericjvandervelden@gmail.com>
Date: Mon, 7 May 2018 22:18:19 +0200
Delivery-date: Mon, 07 May 2018 22:18:22 +0200
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Hi,

In Z5 I found the teichmuller representatives

i=2121...

-i=3323...

-1

By 2121... I mean 2+1*5+2*5^2+1*5^3+...

I can write

2 = i(-1)(-i)0... = i - 5 - i*5^2 + 0*5^3 + ...

How can I find in gp this representation of 2 ?

Thanks

Follow-Ups:
- Re: How to find teichmuller representation of 2 (for example)
  - From: Karim Belabas <Karim.Belabas@math.u-bordeaux.fr>