I was wondering if it is possible to 'directly' obtain the basis vectors which form the local material coordinate system in VUMAT or do I have to use the SDV's and update my basis vectors in every increment? I basically need access to the coordinate system which was defined using *Orientation keyword in the input file and its update along deformation.
I need to eventually compute the Euler angles between a laboratory fixed coordinate system and the instantaneous material coordinate system. 

Abaqus ​​​​​​​