possible problem with Lehmer pairs for the Riemann zeta function values

[American Citizen <website.reader3@gmail.com>]

To all:

I was able to successfully set up Newton's method using complex 
variables and the zeta function so I could find the best s value for a 
particular given s value for a Riemann zeta function zero.

In examining a particular Lehmer pair, the GP Pari calculated values do 
NOT match the given values

> REF: https://www.lmfdb.org/zeros/zeta/?limit=4&N=1048449113
>
> Zero number    Imaginary part
> 1048449113    388858885.3843374064120148806916184198555
> 388858885.384337406412014880691618419855483458064719603521 (GP Pari)
>
> 1048449114    388858886.0022851217767970582610330824021
> 388858886.00228512177679705826103308240191063541672620941057947257917735912535 
> (GP Pari)
>
> 1048449115    388858886.0023936897027167200756700895163
> 388858886.00239368970271672007567008951620254379779536791564845546850341328689 
> (GP Pari)
>
> 1048449116    388858886.6907450529570780149380015280575
> 388858886.690745052957078014938001528057403962286595277234 (GP Pari)
I believe that this is a significant departure, at least for zero number 
1048448114, from the given values from the LMFDB website.

I ask for comments on this.

Thank you

- Randall