# Domains
var X1 >= -100000000, <= 0;
var X2 >= -100000000, <= 0;
var X3 >= -100000000, <= 0;
var X4 >= -100000000, <= 0;
var X5 >= -100000000, <= 0;
var X6 >= -100000000, <= 0;
var X7 >= -100000000, <= 0;
var X8 >= -100000000, <= 0;
var X9 >= -100000000, <= 0;
var X10 >= -100000000, <= 0;
var X11 >= -100000000, <= 0;
var X12 >= -100000000, <= 0;
var X13 >= -100000000, <= 0;
var X14 >= -100000000, <= 0;
var X15 >= -100000000, <= 0;
var X16 >= -100000000, <= 0;
var X17 >= -100000000, <= 0;
var X18 >= -100000000, <= 0;
var X19 >= -100000000, <= 0;
var X20 >= -100000000, <= 0;


# Constants
param R_1 := 22/21;
param R_2 := 23/21;
param R_3 := 24/21;
param R_4 := 25/21;
param R_5 := 26/21;
param R_6 := 27/21;
param R_7 := 28/21;
param R_8 := 29/21;
param R_9 := 30/21;
param R_10 := 31/21;
param R_11 := 32/21;
param R_12 := 33/21;
param R_13 := 34/21;
param R_14 := 35/21;
param R_15 := 36/21;
param R_16 := 37/21;
param R_17 := 38/21;
param R_18 := 39/21;
param R_19 := 40/21;
param R_20 := 41/21;
param Ra_1_1 := 20/18522;
param Rb_1_2 := 19/18522;
param Rb_1_3 := 18/18522;
param Rb_1_4 := 17/18522;
param Rb_1_5 := 16/18522;
param Rb_1_6 := 15/18522;
param Rb_1_7 := 14/18522;
param Rb_1_8 := 13/18522;
param Rb_1_9 := 12/18522;
param Rb_1_10 := 11/18522;
param Rb_1_11 := 10/18522;
param Rb_1_12 := 9/18522;
param Rb_1_13 := 8/18522;
param Rb_1_14 := 7/18522;
param Rb_1_15 := 6/18522;
param Rb_1_16 := 5/18522;
param Rb_1_17 := 4/18522;
param Rb_1_18 := 3/18522;
param Rb_1_19 := 2/18522;
param Rb_1_20 := 1/18522;
param Ra_2_1 := 19/18522;
param Ra_2_2 := 38/18522;
param Rb_2_3 := 36/18522;
param Rb_2_4 := 34/18522;
param Rb_2_5 := 32/18522;
param Rb_2_6 := 30/18522;
param Rb_2_7 := 28/18522;
param Rb_2_8 := 26/18522;
param Rb_2_9 := 24/18522;
param Rb_2_10 := 22/18522;
param Rb_2_11 := 20/18522;
param Rb_2_12 := 18/18522;
param Rb_2_13 := 16/18522;
param Rb_2_14 := 14/18522;
param Rb_2_15 := 12/18522;
param Rb_2_16 := 10/18522;
param Rb_2_17 := 8/18522;
param Rb_2_18 := 6/18522;
param Rb_2_19 := 4/18522;
param Rb_2_20 := 2/18522;
param Ra_3_1 := 18/18522;
param Ra_3_2 := 36/18522;
param Ra_3_3 := 54/18522;
param Rb_3_4 := 51/18522;
param Rb_3_5 := 48/18522;
param Rb_3_6 := 45/18522;
param Rb_3_7 := 42/18522;
param Rb_3_8 := 39/18522;
param Rb_3_9 := 36/18522;
param Rb_3_10 := 33/18522;
param Rb_3_11 := 30/18522;
param Rb_3_12 := 27/18522;
param Rb_3_13 := 24/18522;
param Rb_3_14 := 21/18522;
param Rb_3_15 := 18/18522;
param Rb_3_16 := 15/18522;
param Rb_3_17 := 12/18522;
param Rb_3_18 := 9/18522;
param Rb_3_19 := 6/18522;
param Rb_3_20 := 3/18522;
param Ra_4_1 := 17/18522;
param Ra_4_2 := 34/18522;
param Ra_4_3 := 51/18522;
param Ra_4_4 := 68/18522;
param Rb_4_5 := 64/18522;
param Rb_4_6 := 60/18522;
param Rb_4_7 := 56/18522;
param Rb_4_8 := 52/18522;
param Rb_4_9 := 48/18522;
param Rb_4_10 := 44/18522;
param Rb_4_11 := 40/18522;
param Rb_4_12 := 36/18522;
param Rb_4_13 := 32/18522;
param Rb_4_14 := 28/18522;
param Rb_4_15 := 24/18522;
param Rb_4_16 := 20/18522;
param Rb_4_17 := 16/18522;
param Rb_4_18 := 12/18522;
param Rb_4_19 := 8/18522;
param Rb_4_20 := 4/18522;
param Ra_5_1 := 16/18522;
param Ra_5_2 := 32/18522;
param Ra_5_3 := 48/18522;
param Ra_5_4 := 64/18522;
param Ra_5_5 := 80/18522;
param Rb_5_6 := 75/18522;
param Rb_5_7 := 70/18522;
param Rb_5_8 := 65/18522;
param Rb_5_9 := 60/18522;
param Rb_5_10 := 55/18522;
param Rb_5_11 := 50/18522;
param Rb_5_12 := 45/18522;
param Rb_5_13 := 40/18522;
param Rb_5_14 := 35/18522;
param Rb_5_15 := 30/18522;
param Rb_5_16 := 25/18522;
param Rb_5_17 := 20/18522;
param Rb_5_18 := 15/18522;
param Rb_5_19 := 10/18522;
param Rb_5_20 := 5/18522;
param Ra_6_1 := 15/18522;
param Ra_6_2 := 30/18522;
param Ra_6_3 := 45/18522;
param Ra_6_4 := 60/18522;
param Ra_6_5 := 75/18522;
param Ra_6_6 := 90/18522;
param Rb_6_7 := 84/18522;
param Rb_6_8 := 78/18522;
param Rb_6_9 := 72/18522;
param Rb_6_10 := 66/18522;
param Rb_6_11 := 60/18522;
param Rb_6_12 := 54/18522;
param Rb_6_13 := 48/18522;
param Rb_6_14 := 42/18522;
param Rb_6_15 := 36/18522;
param Rb_6_16 := 30/18522;
param Rb_6_17 := 24/18522;
param Rb_6_18 := 18/18522;
param Rb_6_19 := 12/18522;
param Rb_6_20 := 6/18522;
param Ra_7_1 := 14/18522;
param Ra_7_2 := 28/18522;
param Ra_7_3 := 42/18522;
param Ra_7_4 := 56/18522;
param Ra_7_5 := 70/18522;
param Ra_7_6 := 84/18522;
param Ra_7_7 := 98/18522;
param Rb_7_8 := 91/18522;
param Rb_7_9 := 84/18522;
param Rb_7_10 := 77/18522;
param Rb_7_11 := 70/18522;
param Rb_7_12 := 63/18522;
param Rb_7_13 := 56/18522;
param Rb_7_14 := 49/18522;
param Rb_7_15 := 42/18522;
param Rb_7_16 := 35/18522;
param Rb_7_17 := 28/18522;
param Rb_7_18 := 21/18522;
param Rb_7_19 := 14/18522;
param Rb_7_20 := 7/18522;
param Ra_8_1 := 13/18522;
param Ra_8_2 := 26/18522;
param Ra_8_3 := 39/18522;
param Ra_8_4 := 52/18522;
param Ra_8_5 := 65/18522;
param Ra_8_6 := 78/18522;
param Ra_8_7 := 91/18522;
param Ra_8_8 := 104/18522;
param Rb_8_9 := 96/18522;
param Rb_8_10 := 88/18522;
param Rb_8_11 := 80/18522;
param Rb_8_12 := 72/18522;
param Rb_8_13 := 64/18522;
param Rb_8_14 := 56/18522;
param Rb_8_15 := 48/18522;
param Rb_8_16 := 40/18522;
param Rb_8_17 := 32/18522;
param Rb_8_18 := 24/18522;
param Rb_8_19 := 16/18522;
param Rb_8_20 := 8/18522;
param Ra_9_1 := 12/18522;
param Ra_9_2 := 24/18522;
param Ra_9_3 := 36/18522;
param Ra_9_4 := 48/18522;
param Ra_9_5 := 60/18522;
param Ra_9_6 := 72/18522;
param Ra_9_7 := 84/18522;
param Ra_9_8 := 96/18522;
param Ra_9_9 := 108/18522;
param Rb_9_10 := 99/18522;
param Rb_9_11 := 90/18522;
param Rb_9_12 := 81/18522;
param Rb_9_13 := 72/18522;
param Rb_9_14 := 63/18522;
param Rb_9_15 := 54/18522;
param Rb_9_16 := 45/18522;
param Rb_9_17 := 36/18522;
param Rb_9_18 := 27/18522;
param Rb_9_19 := 18/18522;
param Rb_9_20 := 9/18522;
param Ra_10_1 := 11/18522;
param Ra_10_2 := 22/18522;
param Ra_10_3 := 33/18522;
param Ra_10_4 := 44/18522;
param Ra_10_5 := 55/18522;
param Ra_10_6 := 66/18522;
param Ra_10_7 := 77/18522;
param Ra_10_8 := 88/18522;
param Ra_10_9 := 99/18522;
param Ra_10_10 := 110/18522;
param Rb_10_11 := 100/18522;
param Rb_10_12 := 90/18522;
param Rb_10_13 := 80/18522;
param Rb_10_14 := 70/18522;
param Rb_10_15 := 60/18522;
param Rb_10_16 := 50/18522;
param Rb_10_17 := 40/18522;
param Rb_10_18 := 30/18522;
param Rb_10_19 := 20/18522;
param Rb_10_20 := 10/18522;
param Ra_11_1 := 10/18522;
param Ra_11_2 := 20/18522;
param Ra_11_3 := 30/18522;
param Ra_11_4 := 40/18522;
param Ra_11_5 := 50/18522;
param Ra_11_6 := 60/18522;
param Ra_11_7 := 70/18522;
param Ra_11_8 := 80/18522;
param Ra_11_9 := 90/18522;
param Ra_11_10 := 100/18522;
param Ra_11_11 := 110/18522;
param Rb_11_12 := 99/18522;
param Rb_11_13 := 88/18522;
param Rb_11_14 := 77/18522;
param Rb_11_15 := 66/18522;
param Rb_11_16 := 55/18522;
param Rb_11_17 := 44/18522;
param Rb_11_18 := 33/18522;
param Rb_11_19 := 22/18522;
param Rb_11_20 := 11/18522;
param Ra_12_1 := 9/18522;
param Ra_12_2 := 18/18522;
param Ra_12_3 := 27/18522;
param Ra_12_4 := 36/18522;
param Ra_12_5 := 45/18522;
param Ra_12_6 := 54/18522;
param Ra_12_7 := 63/18522;
param Ra_12_8 := 72/18522;
param Ra_12_9 := 81/18522;
param Ra_12_10 := 90/18522;
param Ra_12_11 := 99/18522;
param Ra_12_12 := 108/18522;
param Rb_12_13 := 96/18522;
param Rb_12_14 := 84/18522;
param Rb_12_15 := 72/18522;
param Rb_12_16 := 60/18522;
param Rb_12_17 := 48/18522;
param Rb_12_18 := 36/18522;
param Rb_12_19 := 24/18522;
param Rb_12_20 := 12/18522;
param Ra_13_1 := 8/18522;
param Ra_13_2 := 16/18522;
param Ra_13_3 := 24/18522;
param Ra_13_4 := 32/18522;
param Ra_13_5 := 40/18522;
param Ra_13_6 := 48/18522;
param Ra_13_7 := 56/18522;
param Ra_13_8 := 64/18522;
param Ra_13_9 := 72/18522;
param Ra_13_10 := 80/18522;
param Ra_13_11 := 88/18522;
param Ra_13_12 := 96/18522;
param Ra_13_13 := 104/18522;
param Rb_13_14 := 91/18522;
param Rb_13_15 := 78/18522;
param Rb_13_16 := 65/18522;
param Rb_13_17 := 52/18522;
param Rb_13_18 := 39/18522;
param Rb_13_19 := 26/18522;
param Rb_13_20 := 13/18522;
param Ra_14_1 := 7/18522;
param Ra_14_2 := 14/18522;
param Ra_14_3 := 21/18522;
param Ra_14_4 := 28/18522;
param Ra_14_5 := 35/18522;
param Ra_14_6 := 42/18522;
param Ra_14_7 := 49/18522;
param Ra_14_8 := 56/18522;
param Ra_14_9 := 63/18522;
param Ra_14_10 := 70/18522;
param Ra_14_11 := 77/18522;
param Ra_14_12 := 84/18522;
param Ra_14_13 := 91/18522;
param Ra_14_14 := 98/18522;
param Rb_14_15 := 84/18522;
param Rb_14_16 := 70/18522;
param Rb_14_17 := 56/18522;
param Rb_14_18 := 42/18522;
param Rb_14_19 := 28/18522;
param Rb_14_20 := 14/18522;
param Ra_15_1 := 6/18522;
param Ra_15_2 := 12/18522;
param Ra_15_3 := 18/18522;
param Ra_15_4 := 24/18522;
param Ra_15_5 := 30/18522;
param Ra_15_6 := 36/18522;
param Ra_15_7 := 42/18522;
param Ra_15_8 := 48/18522;
param Ra_15_9 := 54/18522;
param Ra_15_10 := 60/18522;
param Ra_15_11 := 66/18522;
param Ra_15_12 := 72/18522;
param Ra_15_13 := 78/18522;
param Ra_15_14 := 84/18522;
param Ra_15_15 := 90/18522;
param Rb_15_16 := 75/18522;
param Rb_15_17 := 60/18522;
param Rb_15_18 := 45/18522;
param Rb_15_19 := 30/18522;
param Rb_15_20 := 15/18522;
param Ra_16_1 := 5/18522;
param Ra_16_2 := 10/18522;
param Ra_16_3 := 15/18522;
param Ra_16_4 := 20/18522;
param Ra_16_5 := 25/18522;
param Ra_16_6 := 30/18522;
param Ra_16_7 := 35/18522;
param Ra_16_8 := 40/18522;
param Ra_16_9 := 45/18522;
param Ra_16_10 := 50/18522;
param Ra_16_11 := 55/18522;
param Ra_16_12 := 60/18522;
param Ra_16_13 := 65/18522;
param Ra_16_14 := 70/18522;
param Ra_16_15 := 75/18522;
param Ra_16_16 := 80/18522;
param Rb_16_17 := 64/18522;
param Rb_16_18 := 48/18522;
param Rb_16_19 := 32/18522;
param Rb_16_20 := 16/18522;
param Ra_17_1 := 4/18522;
param Ra_17_2 := 8/18522;
param Ra_17_3 := 12/18522;
param Ra_17_4 := 16/18522;
param Ra_17_5 := 20/18522;
param Ra_17_6 := 24/18522;
param Ra_17_7 := 28/18522;
param Ra_17_8 := 32/18522;
param Ra_17_9 := 36/18522;
param Ra_17_10 := 40/18522;
param Ra_17_11 := 44/18522;
param Ra_17_12 := 48/18522;
param Ra_17_13 := 52/18522;
param Ra_17_14 := 56/18522;
param Ra_17_15 := 60/18522;
param Ra_17_16 := 64/18522;
param Ra_17_17 := 68/18522;
param Rb_17_18 := 51/18522;
param Rb_17_19 := 34/18522;
param Rb_17_20 := 17/18522;
param Ra_18_1 := 3/18522;
param Ra_18_2 := 6/18522;
param Ra_18_3 := 9/18522;
param Ra_18_4 := 12/18522;
param Ra_18_5 := 15/18522;
param Ra_18_6 := 18/18522;
param Ra_18_7 := 21/18522;
param Ra_18_8 := 24/18522;
param Ra_18_9 := 27/18522;
param Ra_18_10 := 30/18522;
param Ra_18_11 := 33/18522;
param Ra_18_12 := 36/18522;
param Ra_18_13 := 39/18522;
param Ra_18_14 := 42/18522;
param Ra_18_15 := 45/18522;
param Ra_18_16 := 48/18522;
param Ra_18_17 := 51/18522;
param Ra_18_18 := 54/18522;
param Rb_18_19 := 36/18522;
param Rb_18_20 := 18/18522;
param Ra_19_1 := 2/18522;
param Ra_19_2 := 4/18522;
param Ra_19_3 := 6/18522;
param Ra_19_4 := 8/18522;
param Ra_19_5 := 10/18522;
param Ra_19_6 := 12/18522;
param Ra_19_7 := 14/18522;
param Ra_19_8 := 16/18522;
param Ra_19_9 := 18/18522;
param Ra_19_10 := 20/18522;
param Ra_19_11 := 22/18522;
param Ra_19_12 := 24/18522;
param Ra_19_13 := 26/18522;
param Ra_19_14 := 28/18522;
param Ra_19_15 := 30/18522;
param Ra_19_16 := 32/18522;
param Ra_19_17 := 34/18522;
param Ra_19_18 := 36/18522;
param Ra_19_19 := 38/18522;
param Rb_19_20 := 19/18522;
param Ra_20_1 := 1/18522;
param Ra_20_2 := 2/18522;
param Ra_20_3 := 3/18522;
param Ra_20_4 := 4/18522;
param Ra_20_5 := 5/18522;
param Ra_20_6 := 6/18522;
param Ra_20_7 := 7/18522;
param Ra_20_8 := 8/18522;
param Ra_20_9 := 9/18522;
param Ra_20_10 := 10/18522;
param Ra_20_11 := 11/18522;
param Ra_20_12 := 12/18522;
param Ra_20_13 := 13/18522;
param Ra_20_14 := 14/18522;
param Ra_20_15 := 15/18522;
param Ra_20_16 := 16/18522;
param Ra_20_17 := 17/18522;
param Ra_20_18 := 18/18522;
param Ra_20_19 := 19/18522;
param Ra_20_20 := 20/18522;

subject to

cons1 : X1+Ra_1_1*(X1+R_1)^3+Rb_1_2*(X2+R_2)^3+Rb_1_3*(X3+R_3)^3+Rb_1_4*(X4+R_4)^3+Rb_1_5*(X5+R_5)^3+Rb_1_6*(X6+R_6)^3+Rb_1_7*(X7+R_7)^3+Rb_1_8*(X8+R_8)^3+Rb_1_9*(X9+R_9)^3+Rb_1_10*(X10+R_10)^3+Rb_1_11*(X11+R_11)^3+Rb_1_12*(X12+R_12)^3+Rb_1_13*(X13+R_13)^3+Rb_1_14*(X14+R_14)^3+Rb_1_15*(X15+R_15)^3+Rb_1_16*(X16+R_16)^3+Rb_1_17*(X17+R_17)^3+Rb_1_18*(X18+R_18)^3+Rb_1_19*(X19+R_19)^3+Rb_1_20*(X20+R_20)^3= 0;
cons2 : X2+Ra_2_1*(X1+R_1)^3+Ra_2_2*(X2+R_2)^3+Rb_2_3*(X3+R_3)^3+Rb_2_4*(X4+R_4)^3+Rb_2_5*(X5+R_5)^3+Rb_2_6*(X6+R_6)^3+Rb_2_7*(X7+R_7)^3+Rb_2_8*(X8+R_8)^3+Rb_2_9*(X9+R_9)^3+Rb_2_10*(X10+R_10)^3+Rb_2_11*(X11+R_11)^3+Rb_2_12*(X12+R_12)^3+Rb_2_13*(X13+R_13)^3+Rb_2_14*(X14+R_14)^3+Rb_2_15*(X15+R_15)^3+Rb_2_16*(X16+R_16)^3+Rb_2_17*(X17+R_17)^3+Rb_2_18*(X18+R_18)^3+Rb_2_19*(X19+R_19)^3+Rb_2_20*(X20+R_20)^3= 0;
cons3 : X3+Ra_3_1*(X1+R_1)^3+Ra_3_2*(X2+R_2)^3+Ra_3_3*(X3+R_3)^3+Rb_3_4*(X4+R_4)^3+Rb_3_5*(X5+R_5)^3+Rb_3_6*(X6+R_6)^3+Rb_3_7*(X7+R_7)^3+Rb_3_8*(X8+R_8)^3+Rb_3_9*(X9+R_9)^3+Rb_3_10*(X10+R_10)^3+Rb_3_11*(X11+R_11)^3+Rb_3_12*(X12+R_12)^3+Rb_3_13*(X13+R_13)^3+Rb_3_14*(X14+R_14)^3+Rb_3_15*(X15+R_15)^3+Rb_3_16*(X16+R_16)^3+Rb_3_17*(X17+R_17)^3+Rb_3_18*(X18+R_18)^3+Rb_3_19*(X19+R_19)^3+Rb_3_20*(X20+R_20)^3= 0;
cons4 : X4+Ra_4_1*(X1+R_1)^3+Ra_4_2*(X2+R_2)^3+Ra_4_3*(X3+R_3)^3+Ra_4_4*(X4+R_4)^3+Rb_4_5*(X5+R_5)^3+Rb_4_6*(X6+R_6)^3+Rb_4_7*(X7+R_7)^3+Rb_4_8*(X8+R_8)^3+Rb_4_9*(X9+R_9)^3+Rb_4_10*(X10+R_10)^3+Rb_4_11*(X11+R_11)^3+Rb_4_12*(X12+R_12)^3+Rb_4_13*(X13+R_13)^3+Rb_4_14*(X14+R_14)^3+Rb_4_15*(X15+R_15)^3+Rb_4_16*(X16+R_16)^3+Rb_4_17*(X17+R_17)^3+Rb_4_18*(X18+R_18)^3+Rb_4_19*(X19+R_19)^3+Rb_4_20*(X20+R_20)^3= 0;
cons5 : X5+Ra_5_1*(X1+R_1)^3+Ra_5_2*(X2+R_2)^3+Ra_5_3*(X3+R_3)^3+Ra_5_4*(X4+R_4)^3+Ra_5_5*(X5+R_5)^3+Rb_5_6*(X6+R_6)^3+Rb_5_7*(X7+R_7)^3+Rb_5_8*(X8+R_8)^3+Rb_5_9*(X9+R_9)^3+Rb_5_10*(X10+R_10)^3+Rb_5_11*(X11+R_11)^3+Rb_5_12*(X12+R_12)^3+Rb_5_13*(X13+R_13)^3+Rb_5_14*(X14+R_14)^3+Rb_5_15*(X15+R_15)^3+Rb_5_16*(X16+R_16)^3+Rb_5_17*(X17+R_17)^3+Rb_5_18*(X18+R_18)^3+Rb_5_19*(X19+R_19)^3+Rb_5_20*(X20+R_20)^3= 0;
cons6 : X6+Ra_6_1*(X1+R_1)^3+Ra_6_2*(X2+R_2)^3+Ra_6_3*(X3+R_3)^3+Ra_6_4*(X4+R_4)^3+Ra_6_5*(X5+R_5)^3+Ra_6_6*(X6+R_6)^3+Rb_6_7*(X7+R_7)^3+Rb_6_8*(X8+R_8)^3+Rb_6_9*(X9+R_9)^3+Rb_6_10*(X10+R_10)^3+Rb_6_11*(X11+R_11)^3+Rb_6_12*(X12+R_12)^3+Rb_6_13*(X13+R_13)^3+Rb_6_14*(X14+R_14)^3+Rb_6_15*(X15+R_15)^3+Rb_6_16*(X16+R_16)^3+Rb_6_17*(X17+R_17)^3+Rb_6_18*(X18+R_18)^3+Rb_6_19*(X19+R_19)^3+Rb_6_20*(X20+R_20)^3= 0;
cons7 : X7+Ra_7_1*(X1+R_1)^3+Ra_7_2*(X2+R_2)^3+Ra_7_3*(X3+R_3)^3+Ra_7_4*(X4+R_4)^3+Ra_7_5*(X5+R_5)^3+Ra_7_6*(X6+R_6)^3+Ra_7_7*(X7+R_7)^3+Rb_7_8*(X8+R_8)^3+Rb_7_9*(X9+R_9)^3+Rb_7_10*(X10+R_10)^3+Rb_7_11*(X11+R_11)^3+Rb_7_12*(X12+R_12)^3+Rb_7_13*(X13+R_13)^3+Rb_7_14*(X14+R_14)^3+Rb_7_15*(X15+R_15)^3+Rb_7_16*(X16+R_16)^3+Rb_7_17*(X17+R_17)^3+Rb_7_18*(X18+R_18)^3+Rb_7_19*(X19+R_19)^3+Rb_7_20*(X20+R_20)^3= 0;
cons8 : X8+Ra_8_1*(X1+R_1)^3+Ra_8_2*(X2+R_2)^3+Ra_8_3*(X3+R_3)^3+Ra_8_4*(X4+R_4)^3+Ra_8_5*(X5+R_5)^3+Ra_8_6*(X6+R_6)^3+Ra_8_7*(X7+R_7)^3+Ra_8_8*(X8+R_8)^3+Rb_8_9*(X9+R_9)^3+Rb_8_10*(X10+R_10)^3+Rb_8_11*(X11+R_11)^3+Rb_8_12*(X12+R_12)^3+Rb_8_13*(X13+R_13)^3+Rb_8_14*(X14+R_14)^3+Rb_8_15*(X15+R_15)^3+Rb_8_16*(X16+R_16)^3+Rb_8_17*(X17+R_17)^3+Rb_8_18*(X18+R_18)^3+Rb_8_19*(X19+R_19)^3+Rb_8_20*(X20+R_20)^3= 0;
cons9 : X9+Ra_9_1*(X1+R_1)^3+Ra_9_2*(X2+R_2)^3+Ra_9_3*(X3+R_3)^3+Ra_9_4*(X4+R_4)^3+Ra_9_5*(X5+R_5)^3+Ra_9_6*(X6+R_6)^3+Ra_9_7*(X7+R_7)^3+Ra_9_8*(X8+R_8)^3+Ra_9_9*(X9+R_9)^3+Rb_9_10*(X10+R_10)^3+Rb_9_11*(X11+R_11)^3+Rb_9_12*(X12+R_12)^3+Rb_9_13*(X13+R_13)^3+Rb_9_14*(X14+R_14)^3+Rb_9_15*(X15+R_15)^3+Rb_9_16*(X16+R_16)^3+Rb_9_17*(X17+R_17)^3+Rb_9_18*(X18+R_18)^3+Rb_9_19*(X19+R_19)^3+Rb_9_20*(X20+R_20)^3= 0;
cons10 : X10+Ra_10_1*(X1+R_1)^3+Ra_10_2*(X2+R_2)^3+Ra_10_3*(X3+R_3)^3+Ra_10_4*(X4+R_4)^3+Ra_10_5*(X5+R_5)^3+Ra_10_6*(X6+R_6)^3+Ra_10_7*(X7+R_7)^3+Ra_10_8*(X8+R_8)^3+Ra_10_9*(X9+R_9)^3+Ra_10_10*(X10+R_10)^3+Rb_10_11*(X11+R_11)^3+Rb_10_12*(X12+R_12)^3+Rb_10_13*(X13+R_13)^3+Rb_10_14*(X14+R_14)^3+Rb_10_15*(X15+R_15)^3+Rb_10_16*(X16+R_16)^3+Rb_10_17*(X17+R_17)^3+Rb_10_18*(X18+R_18)^3+Rb_10_19*(X19+R_19)^3+Rb_10_20*(X20+R_20)^3= 0;
cons11 : X11+Ra_11_1*(X1+R_1)^3+Ra_11_2*(X2+R_2)^3+Ra_11_3*(X3+R_3)^3+Ra_11_4*(X4+R_4)^3+Ra_11_5*(X5+R_5)^3+Ra_11_6*(X6+R_6)^3+Ra_11_7*(X7+R_7)^3+Ra_11_8*(X8+R_8)^3+Ra_11_9*(X9+R_9)^3+Ra_11_10*(X10+R_10)^3+Ra_11_11*(X11+R_11)^3+Rb_11_12*(X12+R_12)^3+Rb_11_13*(X13+R_13)^3+Rb_11_14*(X14+R_14)^3+Rb_11_15*(X15+R_15)^3+Rb_11_16*(X16+R_16)^3+Rb_11_17*(X17+R_17)^3+Rb_11_18*(X18+R_18)^3+Rb_11_19*(X19+R_19)^3+Rb_11_20*(X20+R_20)^3= 0;
cons12 : X12+Ra_12_1*(X1+R_1)^3+Ra_12_2*(X2+R_2)^3+Ra_12_3*(X3+R_3)^3+Ra_12_4*(X4+R_4)^3+Ra_12_5*(X5+R_5)^3+Ra_12_6*(X6+R_6)^3+Ra_12_7*(X7+R_7)^3+Ra_12_8*(X8+R_8)^3+Ra_12_9*(X9+R_9)^3+Ra_12_10*(X10+R_10)^3+Ra_12_11*(X11+R_11)^3+Ra_12_12*(X12+R_12)^3+Rb_12_13*(X13+R_13)^3+Rb_12_14*(X14+R_14)^3+Rb_12_15*(X15+R_15)^3+Rb_12_16*(X16+R_16)^3+Rb_12_17*(X17+R_17)^3+Rb_12_18*(X18+R_18)^3+Rb_12_19*(X19+R_19)^3+Rb_12_20*(X20+R_20)^3= 0;
cons13 : X13+Ra_13_1*(X1+R_1)^3+Ra_13_2*(X2+R_2)^3+Ra_13_3*(X3+R_3)^3+Ra_13_4*(X4+R_4)^3+Ra_13_5*(X5+R_5)^3+Ra_13_6*(X6+R_6)^3+Ra_13_7*(X7+R_7)^3+Ra_13_8*(X8+R_8)^3+Ra_13_9*(X9+R_9)^3+Ra_13_10*(X10+R_10)^3+Ra_13_11*(X11+R_11)^3+Ra_13_12*(X12+R_12)^3+Ra_13_13*(X13+R_13)^3+Rb_13_14*(X14+R_14)^3+Rb_13_15*(X15+R_15)^3+Rb_13_16*(X16+R_16)^3+Rb_13_17*(X17+R_17)^3+Rb_13_18*(X18+R_18)^3+Rb_13_19*(X19+R_19)^3+Rb_13_20*(X20+R_20)^3= 0;
cons14 : X14+Ra_14_1*(X1+R_1)^3+Ra_14_2*(X2+R_2)^3+Ra_14_3*(X3+R_3)^3+Ra_14_4*(X4+R_4)^3+Ra_14_5*(X5+R_5)^3+Ra_14_6*(X6+R_6)^3+Ra_14_7*(X7+R_7)^3+Ra_14_8*(X8+R_8)^3+Ra_14_9*(X9+R_9)^3+Ra_14_10*(X10+R_10)^3+Ra_14_11*(X11+R_11)^3+Ra_14_12*(X12+R_12)^3+Ra_14_13*(X13+R_13)^3+Ra_14_14*(X14+R_14)^3+Rb_14_15*(X15+R_15)^3+Rb_14_16*(X16+R_16)^3+Rb_14_17*(X17+R_17)^3+Rb_14_18*(X18+R_18)^3+Rb_14_19*(X19+R_19)^3+Rb_14_20*(X20+R_20)^3= 0;
cons15 : X15+Ra_15_1*(X1+R_1)^3+Ra_15_2*(X2+R_2)^3+Ra_15_3*(X3+R_3)^3+Ra_15_4*(X4+R_4)^3+Ra_15_5*(X5+R_5)^3+Ra_15_6*(X6+R_6)^3+Ra_15_7*(X7+R_7)^3+Ra_15_8*(X8+R_8)^3+Ra_15_9*(X9+R_9)^3+Ra_15_10*(X10+R_10)^3+Ra_15_11*(X11+R_11)^3+Ra_15_12*(X12+R_12)^3+Ra_15_13*(X13+R_13)^3+Ra_15_14*(X14+R_14)^3+Ra_15_15*(X15+R_15)^3+Rb_15_16*(X16+R_16)^3+Rb_15_17*(X17+R_17)^3+Rb_15_18*(X18+R_18)^3+Rb_15_19*(X19+R_19)^3+Rb_15_20*(X20+R_20)^3= 0;
cons16 : X16+Ra_16_1*(X1+R_1)^3+Ra_16_2*(X2+R_2)^3+Ra_16_3*(X3+R_3)^3+Ra_16_4*(X4+R_4)^3+Ra_16_5*(X5+R_5)^3+Ra_16_6*(X6+R_6)^3+Ra_16_7*(X7+R_7)^3+Ra_16_8*(X8+R_8)^3+Ra_16_9*(X9+R_9)^3+Ra_16_10*(X10+R_10)^3+Ra_16_11*(X11+R_11)^3+Ra_16_12*(X12+R_12)^3+Ra_16_13*(X13+R_13)^3+Ra_16_14*(X14+R_14)^3+Ra_16_15*(X15+R_15)^3+Ra_16_16*(X16+R_16)^3+Rb_16_17*(X17+R_17)^3+Rb_16_18*(X18+R_18)^3+Rb_16_19*(X19+R_19)^3+Rb_16_20*(X20+R_20)^3= 0;
cons17 : X17+Ra_17_1*(X1+R_1)^3+Ra_17_2*(X2+R_2)^3+Ra_17_3*(X3+R_3)^3+Ra_17_4*(X4+R_4)^3+Ra_17_5*(X5+R_5)^3+Ra_17_6*(X6+R_6)^3+Ra_17_7*(X7+R_7)^3+Ra_17_8*(X8+R_8)^3+Ra_17_9*(X9+R_9)^3+Ra_17_10*(X10+R_10)^3+Ra_17_11*(X11+R_11)^3+Ra_17_12*(X12+R_12)^3+Ra_17_13*(X13+R_13)^3+Ra_17_14*(X14+R_14)^3+Ra_17_15*(X15+R_15)^3+Ra_17_16*(X16+R_16)^3+Ra_17_17*(X17+R_17)^3+Rb_17_18*(X18+R_18)^3+Rb_17_19*(X19+R_19)^3+Rb_17_20*(X20+R_20)^3= 0;
cons18 : X18+Ra_18_1*(X1+R_1)^3+Ra_18_2*(X2+R_2)^3+Ra_18_3*(X3+R_3)^3+Ra_18_4*(X4+R_4)^3+Ra_18_5*(X5+R_5)^3+Ra_18_6*(X6+R_6)^3+Ra_18_7*(X7+R_7)^3+Ra_18_8*(X8+R_8)^3+Ra_18_9*(X9+R_9)^3+Ra_18_10*(X10+R_10)^3+Ra_18_11*(X11+R_11)^3+Ra_18_12*(X12+R_12)^3+Ra_18_13*(X13+R_13)^3+Ra_18_14*(X14+R_14)^3+Ra_18_15*(X15+R_15)^3+Ra_18_16*(X16+R_16)^3+Ra_18_17*(X17+R_17)^3+Ra_18_18*(X18+R_18)^3+Rb_18_19*(X19+R_19)^3+Rb_18_20*(X20+R_20)^3= 0;
cons19 : X19+Ra_19_1*(X1+R_1)^3+Ra_19_2*(X2+R_2)^3+Ra_19_3*(X3+R_3)^3+Ra_19_4*(X4+R_4)^3+Ra_19_5*(X5+R_5)^3+Ra_19_6*(X6+R_6)^3+Ra_19_7*(X7+R_7)^3+Ra_19_8*(X8+R_8)^3+Ra_19_9*(X9+R_9)^3+Ra_19_10*(X10+R_10)^3+Ra_19_11*(X11+R_11)^3+Ra_19_12*(X12+R_12)^3+Ra_19_13*(X13+R_13)^3+Ra_19_14*(X14+R_14)^3+Ra_19_15*(X15+R_15)^3+Ra_19_16*(X16+R_16)^3+Ra_19_17*(X17+R_17)^3+Ra_19_18*(X18+R_18)^3+Ra_19_19*(X19+R_19)^3+Rb_19_20*(X20+R_20)^3= 0;
cons20 : X20+Ra_20_1*(X1+R_1)^3+Ra_20_2*(X2+R_2)^3+Ra_20_3*(X3+R_3)^3+Ra_20_4*(X4+R_4)^3+Ra_20_5*(X5+R_5)^3+Ra_20_6*(X6+R_6)^3+Ra_20_7*(X7+R_7)^3+Ra_20_8*(X8+R_8)^3+Ra_20_9*(X9+R_9)^3+Ra_20_10*(X10+R_10)^3+Ra_20_11*(X11+R_11)^3+Ra_20_12*(X12+R_12)^3+Ra_20_13*(X13+R_13)^3+Ra_20_14*(X14+R_14)^3+Ra_20_15*(X15+R_15)^3+Ra_20_16*(X16+R_16)^3+Ra_20_17*(X17+R_17)^3+Ra_20_18*(X18+R_18)^3+Ra_20_19*(X19+R_19)^3+Ra_20_20*(X20+R_20)^3= 0;

solve;
display X1, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X2, X20, X3, X4, X5, X6, X7, X8, X9;