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``Re: computer solution'' by ayjara on 2007-11-19 08:26:05
Dear Benoit,

I think the problem is in R6 computation.
With
 a3 = 0, a2 = 0, a1 = 0, a0 = -1,
we have
 T1 = -a3/4 = 0
 T2 = a2^2 - 3*a3*a1 + 12*a0 = -12
 T3 = (2*a2^3 - 9*a3*a2*a1 + 27*a1^2 + 27*a3^2*a0 - 72*a2*a0)/2 = 0
 T4 = (-a3^3 + 4*a3*a2 - 8*a1)/32 = 0
 T5 = (3*a3^2 - 8*a2)/48 = 0
and
 R1 = sqrt(T3^2 - T2^3) = 24 sqrt(3)
 R2 = root[3](T3 + R1) = 2 sqrt(3)
 R3 = (1/12)*(T2/R2 + R2) = 0
 R4 = sqrt(T5 + R3) = 0
 R5 = 2*T5 - R3 =
 R6 = T4/R4 = 0/0 (problem!)

I don't know how to fix it. Maybe some algebraic manipulation...
If you have some idea, please contact.
Regards,
Adalberto
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