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Shapefile - problem with number of points in LinearRing

I am new to shapefiles and I've got a bit lost. I am trying to plot pooling sections in my region (Madrid) with different colors. But I get Error: IllegalArgumentException: Invalid number of ...
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Invalid geometry

I'm working on some shapefiles in both ArcGIS 10.2 and QGIS 2.0. I have 3 files which I have cleaned of self intersections in ArcGIS using Repair Geometry. I have also checked for Overlaps using the ...