Further results on logarithmic terraces

Let p be an odd prime, and let x be a primitive root of p  . Suppose that we write the elements of Zp-1Zp-1 as 1,2,…,p-1,1,2,…,p-1, and that, wherever we evaluate xl(modp), we always write it as one of 1,2,…,p-1.1,2,…,p-1. Let ℓ=(l1,…,lp-1)ℓ=(l1,…,lp-1) be a terrace for Zp-1Zp-1. Then ℓℓ is said to be a logarithmic terrace if e=(e1,…,ep-1)e=(e1,…,ep-1), defined by ei≡xli(modp), is also a terrace for Zp-1Zp-1. We study properties of logarithmic terraces, in particular investigating terraces which are simultaneously logarithmic for two different primitive roots.