drop duplicate values based on a criteria

[klllmmm]

I have a pandas dataframe that has duplicate data. Similar to below table. I want to drop duplicates keeping only the rows with value close to zero in column2
table1
Cloumn1    column2
1100            -27
1100               0
1100              10
1300               -2
1300               12

Resultant table looks like
Cloumn1    column2
1100             0
1300             -2

Hope someone can help on this

import pandas as pd

table = pd.DataFrame(data = {'Col1':[1100,1100,1100,1300,1300], 'Col2':[-27,0,10,-2,12]})