The unknowns stand for the values (in [0,1]) of a distribution function of a field created by a mixture of a ferro-antiferro-magnetic bond at some some points.
i1 : F = katsura(3,QQ) 2 2 2 o1 = {a + 2b + 2c - 1, a + 2b + 2c - a, 2a*b + 2b*c - b} o1 : List |
i2 : sols = solveSystem F o2 = {{.630602, .315301, -.130602}, {1, -4.61496e-18+2.30151e-19*ii, ------------------------------------------------------------------------ -7.9308e-19-9.69956e-20*ii}, {.226541, .11327, .273459}, {.333333, ------------------------------------------------------------------------ 2.21867e-31+5.91646e-31*ii, .333333}} o2 : List |
i3 : #sols o3 = 4 |