I found different answer: beta = -134369656/464781 = -289.10316041318384 gamma or delta = 25151792561/19056021 = 1319.8869040394109 phi = 155732362/154927 = 100

I found different answer: beta = -134369656/464781 = -289.10316041318384 gamma or delta = 25151792561/19056021 = 1319.8869040394109 phi = 155732362/154927 = 1005.1983321177071 mu = 180458411/464781 = 388.2654648103085 I don't have courage to verify the solution for this abomination of numbers.