Turns out that it actually did fix the error, but i was too tired and 
confused things. 
BUT the components of the fractions were a lot too large.
A Gauß-algorithm should have returned very managable fractions, not 
fractions of 300-decimal-place-numbers by 300-decimal-place-numbers.
I suspect this is somehow caused by the lack of pivoting.
Maybe this somehow results in dividing by zero or extremely small values?


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