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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346amb_space 8 inequalities 3 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 nonnegative total_degree polynomial 1/120*1/120*(x[1]+5)*(x[1]+4)*(x[1]+3)*(x[1]+2)*(x[1]+1)*(x[2]+1)* (x[3]+1)*(x[4]+1)*(x[5]+1)*(x[6]+1)*(x[7]+1)*(x[8]+5)*(x[8]+4)* (x[8]+3)*(x[8]+2)*(x[8]+1);