Hi,
I'm going to try an explaination with the ellipse you gave the DXF datas.
The ellipse parameters angles are measured about the 'X axis of the ellipse'.
This axis is given by the vector 0.2648636274097313, 0.9206522013610863, 0.0 (DXF codes 11, 21, 31) from the ellipse center.
StartParameter and EndParameter are different from StartAngle and EndAngle:
tan(StartAngle) = tan(StartParameter) * ratio
Where ratio = minor axis / major axis (DXF code 40 i.e. 0.2244275091508654)
Graphicaly (see attached), you can draw the parameters by drawing two circles concentric with the ellipse with radius equals to minor and major radius. The start parameter is given by the projection of the strat point on the major circle parallely to minor axis and the projection of the start point on the minor circle parallely to major axis.
On the attached picture, you can see the start parameter (2.5205) and the end parameter (0.8814). The DXF data for the end parameter is greater than 2 pi because, starting from the ellipse axis and going counter clockwise the angle is 2 pi + 0.8814 = 7.16461989826817