e----------------------10-13-10--------------------
b-------------------10----------10-----------------
g----------------10----------------10--------------
D-------------12----------------------12-----------
A----------12----------------------------12--------
E-5-10-13-----------------------------------13-10--
If you prefere the pattern you typed , I think it would be better to finger like this :
1-1-4-1-1-4-1-1-4 and the same way descending.