This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-8250U CPU at 1.60GHz.
There were 4 solutions found in 22.0781 seconds (with a Bezout bound of 576).
Reference: COCONUT, modified by COPRIN.
See also: http://www-sop.inria.fr/coprin/logiciels/ALIAS/Benches/node1.html#SECTION000114000000000000000
i1 : dipole2(RR_53) 2 2 o1 = {a + b - .63254, c + d + 1.34534, a*t + b*u - c*v - d*w + .836535, c*t + d*u + a*v + b*w - 1.73453, a*t + b*u - 2c*t*v - ---------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 3 3 2 2 3 a*v - 2d*u*w - b*w - 1.35235, c*t + d*u + 2a*t*v - c*v + 2b*u*w - d*w + .843453, a*t + b*u - 3c*t v - 3a*t*v + c*v ---------------------------------------------------------------------------------------------------------------------------- 2 2 3 3 3 2 2 3 2 2 3 - 3d*u w - 3b*u*w + d*w + .956345, c*t + d*u + 3a*t v - 3c*t*v - a*v + 3b*u w - 3d*u*w - b*w - 1.23425} o1 : List |
The object dipole2 is a method function.