#
#**************************
# SET UP THE INITIAL DATA *
#**************************
#   Problem:
#   ********
#   A relaxation of an nonlinear integer programming problem for finding
#   optimal nuclear reactor core reload patterns (small size version).
#   Source:
#   A.J. Quist, E. de Klerk, C. Roos, T. Terlaky, R. van Geemert,
#   J.E. Hoogenboom, T.Illes,
#   "Finding Optimal Nuclear Reactor Core Reload Patterns Using Nonlinear
#   Optimization and Search Heuristics",
#   Delft University, January 1998.
#   classification LOI2-RN-343-313
#   SIF input: Arie Quist, Delft, 1998.
# Some useful constants
# Sizes
# Physical Data
# Objective
# Sumi(l,m) and sumlm(i)
# Kern, peak and norm contain no linear elements.
# Burn contains two
# Kern, burn, norm: See section 3.1
# Peak: See section 3.4 AND 4.4.3
# Plac contains k(i,1) and -sum_m x(i,1,m)*kfresh (Section 3.3)
# Kefford contains two linear terms.
# This constraint is in section 4.4.2 of the paper
# Two adjacent diagonal positions contain the same fuel.
# See section 3.6, although it is not explicitly stated.
# Rhs of sum-constraints = 1
# Rhs of Norm-constraints = 1
# Rhs of peak constraints = Flim/Nnod
# X(i,l,m) variables between 0 en 1
# k(i,t) en keff(t) between 0 en kfresh
# phi(i,t) between 0.0001 (bijv?) en 1.0(bijv?)
# Epsilon between 0 en 0.01. Currently between 0 and 100
#XL           x(i,l,m)  0.08333333
#XU           x(i,l,m)  0.08333334
# See Section 4.4.1 of the paper cited as Source.
# Elements k(i,t)*phi(i,t)
# Elements keff(t)*phi(i,t)
# Elements x(i,l,m)*x(j,l-1,m)*k(j,EoC)
# Kern(i,t) contains groups kefph(i,t)  and  kphi(j,t) * -G(i,j)
# Norm(t) contains groups kphi(i,t) with factor v(i)
# Burn(i,t) contains alpha*Pc*delta_t *kphi(i,t)
# Peak(i,t) contains kphi(i,t)
	param nnod := 14;
	param nred := 12;
	param ndia := 2;
	param ntim := 6;
	param nage := 4;
	param d1_1 := 1.0;
	param d2_1 := 11.0;
	param d1_2 := 7.0;
	param d2_2 := 14.0;
	param alpha := 6.0e-6;
	param pc := 364.0;
	param cyclen := 350.0;
	param kfresh := 1.2;
	param flim := 2.0;
	param w1 := 1.0;
	param v1 := 0.5;
	param v2 := 1.0;
	param v3 := 1.0;
	param v4 := 1.0;
	param v5 := 1.0;
	param v6 := 1.0;
	param v7 := 0.5;
	param v8 := 1.0;
	param v9 := 1.0;
	param v10 := 1.0;
	param v11 := 0.5;
	param v12 := 1.0;
	param v13 := 1.0;
	param v14 := 0.5;
	param rnnod := 14.0;
	param rntim := 6.0;
	param rnred := 12.0;
	param rntimm1 := -1.0 + (6.0);
	param fl_nred := (2.0) / (12.0);
	param ntimm1 := -1 + (6);
	param dt := (350.0) / (-1.0 + (6.0));
	param alp_pc := (6.0e-6) * (364.0);
	param alp_pc_dt := ((6.0e-6) * (364.0)) * ((350.0) / (-1.0 + (6.0)));
	param ntra := 4;
	param tp1 := 1 + (5);
	param d1 := round(0 + (11.0));
	param d2 := round(0 + (14.0));
	param myg := -0.999 + (-0.684);
	param myintg := -1 * (round(-0.999 + (-0.684)));

	var x1_1_1 >= 0.0 ,  <= 1.0;
	var x1_1_2 >= 0.0 ,  <= 1.0;
	var x1_1_3 >= 0.0 ,  <= 1.0;
	var x1_2_1 >= 0.0 ,  <= 1.0;
	var x1_2_2 >= 0.0 ,  <= 1.0;
	var x1_2_3 >= 0.0 ,  <= 1.0;
	var x1_3_1 >= 0.0 ,  <= 1.0;
	var x1_3_2 >= 0.0 ,  <= 1.0;
	var x1_3_3 >= 0.0 ,  <= 1.0;
	var x1_4_1 >= 0.0 ,  <= 1.0;
	var x1_4_2 >= 0.0 ,  <= 1.0;
	var x1_4_3 >= 0.0 ,  <= 1.0;
	var x2_1_1 >= 0.0 ,  <= 1.0;
	var x2_1_2 >= 0.0 ,  <= 1.0;
	var x2_1_3 >= 0.0 ,  <= 1.0;
	var x2_2_1 >= 0.0 ,  <= 1.0;
	var x2_2_2 >= 0.0 ,  <= 1.0;
	var x2_2_3 >= 0.0 ,  <= 1.0;
	var x2_3_1 >= 0.0 ,  <= 1.0;
	var x2_3_2 >= 0.0 ,  <= 1.0;
	var x2_3_3 >= 0.0 ,  <= 1.0;
	var x2_4_1 >= 0.0 ,  <= 1.0;
	var x2_4_2 >= 0.0 ,  <= 1.0;
	var x2_4_3 >= 0.0 ,  <= 1.0;
	var x3_1_1 >= 0.0 ,  <= 1.0;
	var x3_1_2 >= 0.0 ,  <= 1.0;
	var x3_1_3 >= 0.0 ,  <= 1.0;
	var x3_2_1 >= 0.0 ,  <= 1.0;
	var x3_2_2 >= 0.0 ,  <= 1.0;
	var x3_2_3 >= 0.0 ,  <= 1.0;
	var x3_3_1 >= 0.0 ,  <= 1.0;
	var x3_3_2 >= 0.0 ,  <= 1.0;
	var x3_3_3 >= 0.0 ,  <= 1.0;
	var x3_4_1 >= 0.0 ,  <= 1.0;
	var x3_4_2 >= 0.0 ,  <= 1.0;
	var x3_4_3 >= 0.0 ,  <= 1.0;
	var x4_1_1 >= 0.0 ,  <= 1.0;
	var x4_1_2 >= 0.0 ,  <= 1.0;
	var x4_1_3 >= 0.0 ,  <= 1.0;
	var x4_2_1 >= 0.0 ,  <= 1.0;
	var x4_2_2 >= 0.0 ,  <= 1.0;
	var x4_2_3 >= 0.0 ,  <= 1.0;
	var x4_3_1 >= 0.0 ,  <= 1.0;
	var x4_3_2 >= 0.0 ,  <= 1.0;
	var x4_3_3 >= 0.0 ,  <= 1.0;
	var x4_4_1 >= 0.0 ,  <= 1.0;
	var x4_4_2 >= 0.0 ,  <= 1.0;
	var x4_4_3 >= 0.0 ,  <= 1.0;
	var x5_1_1 >= 0.0 ,  <= 1.0;
	var x5_1_2 >= 0.0 ,  <= 1.0;
	var x5_1_3 >= 0.0 ,  <= 1.0;
	var x5_2_1 >= 0.0 ,  <= 1.0;
	var x5_2_2 >= 0.0 ,  <= 1.0;
	var x5_2_3 >= 0.0 ,  <= 1.0;
	var x5_3_1 >= 0.0 ,  <= 1.0;
	var x5_3_2 >= 0.0 ,  <= 1.0;
	var x5_3_3 >= 0.0 ,  <= 1.0;
	var x5_4_1 >= 0.0 ,  <= 1.0;
	var x5_4_2 >= 0.0 ,  <= 1.0;
	var x5_4_3 >= 0.0 ,  <= 1.0;
	var x6_1_1 >= 0.0 ,  <= 1.0;
	var x6_1_2 >= 0.0 ,  <= 1.0;
	var x6_1_3 >= 0.0 ,  <= 1.0;
	var x6_2_1 >= 0.0 ,  <= 1.0;
	var x6_2_2 >= 0.0 ,  <= 1.0;
	var x6_2_3 >= 0.0 ,  <= 1.0;
	var x6_3_1 >= 0.0 ,  <= 1.0;
	var x6_3_2 >= 0.0 ,  <= 1.0;
	var x6_3_3 >= 0.0 ,  <= 1.0;
	var x6_4_1 >= 0.0 ,  <= 1.0;
	var x6_4_2 >= 0.0 ,  <= 1.0;
	var x6_4_3 >= 0.0 ,  <= 1.0;
	var x7_1_1 >= 0.0 ,  <= 1.0;
	var x7_1_2 >= 0.0 ,  <= 1.0;
	var x7_1_3 >= 0.0 ,  <= 1.0;
	var x7_2_1 >= 0.0 ,  <= 1.0;
	var x7_2_2 >= 0.0 ,  <= 1.0;
	var x7_2_3 >= 0.0 ,  <= 1.0;
	var x7_3_1 >= 0.0 ,  <= 1.0;
	var x7_3_2 >= 0.0 ,  <= 1.0;
	var x7_3_3 >= 0.0 ,  <= 1.0;
	var x7_4_1 >= 0.0 ,  <= 1.0;
	var x7_4_2 >= 0.0 ,  <= 1.0;
	var x7_4_3 >= 0.0 ,  <= 1.0;
	var x8_1_1 >= 0.0 ,  <= 1.0;
	var x8_1_2 >= 0.0 ,  <= 1.0;
	var x8_1_3 >= 0.0 ,  <= 1.0;
	var x8_2_1 >= 0.0 ,  <= 1.0;
	var x8_2_2 >= 0.0 ,  <= 1.0;
	var x8_2_3 >= 0.0 ,  <= 1.0;
	var x8_3_1 >= 0.0 ,  <= 1.0;
	var x8_3_2 >= 0.0 ,  <= 1.0;
	var x8_3_3 >= 0.0 ,  <= 1.0;
	var x8_4_1 >= 0.0 ,  <= 1.0;
	var x8_4_2 >= 0.0 ,  <= 1.0;
	var x8_4_3 >= 0.0 ,  <= 1.0;
	var x9_1_1 >= 0.0 ,  <= 1.0;
	var x9_1_2 >= 0.0 ,  <= 1.0;
	var x9_1_3 >= 0.0 ,  <= 1.0;
	var x9_2_1 >= 0.0 ,  <= 1.0;
	var x9_2_2 >= 0.0 ,  <= 1.0;
	var x9_2_3 >= 0.0 ,  <= 1.0;
	var x9_3_1 >= 0.0 ,  <= 1.0;
	var x9_3_2 >= 0.0 ,  <= 1.0;
	var x9_3_3 >= 0.0 ,  <= 1.0;
	var x9_4_1 >= 0.0 ,  <= 1.0;
	var x9_4_2 >= 0.0 ,  <= 1.0;
	var x9_4_3 >= 0.0 ,  <= 1.0;
	var x10_1_1 >= 0.0 ,  <= 1.0;
	var x10_1_2 >= 0.0 ,  <= 1.0;
	var x10_1_3 >= 0.0 ,  <= 1.0;
	var x10_2_1 >= 0.0 ,  <= 1.0;
	var x10_2_2 >= 0.0 ,  <= 1.0;
	var x10_2_3 >= 0.0 ,  <= 1.0;
	var x10_3_1 >= 0.0 ,  <= 1.0;
	var x10_3_2 >= 0.0 ,  <= 1.0;
	var x10_3_3 >= 0.0 ,  <= 1.0;
	var x10_4_1 >= 0.0 ,  <= 1.0;
	var x10_4_2 >= 0.0 ,  <= 1.0;
	var x10_4_3 >= 0.0 ,  <= 1.0;
	var x11_1_1 >= 0.0 ,  <= 1.0;
	var x11_1_2 >= 0.0 ,  <= 1.0;
	var x11_1_3 >= 0.0 ,  <= 1.0;
	var x11_2_1 >= 0.0 ,  <= 1.0;
	var x11_2_2 >= 0.0 ,  <= 1.0;
	var x11_2_3 >= 0.0 ,  <= 1.0;
	var x11_3_1 >= 0.0 ,  <= 1.0;
	var x11_3_2 >= 0.0 ,  <= 1.0;
	var x11_3_3 >= 0.0 ,  <= 1.0;
	var x11_4_1 >= 0.0 ,  <= 1.0;
	var x11_4_2 >= 0.0 ,  <= 1.0;
	var x11_4_3 >= 0.0 ,  <= 1.0;
	var x12_1_1 >= 0.0 ,  <= 1.0;
	var x12_1_2 >= 0.0 ,  <= 1.0;
	var x12_1_3 >= 0.0 ,  <= 1.0;
	var x12_2_1 >= 0.0 ,  <= 1.0;
	var x12_2_2 >= 0.0 ,  <= 1.0;
	var x12_2_3 >= 0.0 ,  <= 1.0;
	var x12_3_1 >= 0.0 ,  <= 1.0;
	var x12_3_2 >= 0.0 ,  <= 1.0;
	var x12_3_3 >= 0.0 ,  <= 1.0;
	var x12_4_1 >= 0.0 ,  <= 1.0;
	var x12_4_2 >= 0.0 ,  <= 1.0;
	var x12_4_3 >= 0.0 ,  <= 1.0;
	var x13_1_1 >= 0.0 ,  <= 1.0;
	var x13_1_2 >= 0.0 ,  <= 1.0;
	var x13_1_3 >= 0.0 ,  <= 1.0;
	var x13_2_1 >= 0.0 ,  <= 1.0;
	var x13_2_2 >= 0.0 ,  <= 1.0;
	var x13_2_3 >= 0.0 ,  <= 1.0;
	var x13_3_1 >= 0.0 ,  <= 1.0;
	var x13_3_2 >= 0.0 ,  <= 1.0;
	var x13_3_3 >= 0.0 ,  <= 1.0;
	var x13_4_1 >= 0.0 ,  <= 1.0;
	var x13_4_2 >= 0.0 ,  <= 1.0;
	var x13_4_3 >= 0.0 ,  <= 1.0;
	var x14_1_1 >= 0.0 ,  <= 1.0;
	var x14_1_2 >= 0.0 ,  <= 1.0;
	var x14_1_3 >= 0.0 ,  <= 1.0;
	var x14_2_1 >= 0.0 ,  <= 1.0;
	var x14_2_2 >= 0.0 ,  <= 1.0;
	var x14_2_3 >= 0.0 ,  <= 1.0;
	var x14_3_1 >= 0.0 ,  <= 1.0;
	var x14_3_2 >= 0.0 ,  <= 1.0;
	var x14_3_3 >= 0.0 ,  <= 1.0;
	var x14_4_1 >= 0.0 ,  <= 1.0;
	var x14_4_2 >= 0.0 ,  <= 1.0;
	var x14_4_3 >= 0.0 ,  <= 1.0;
	var k1_1 >= 0.0 ,  <= 1.2;
	var phi1_1 >= 0.0001 ,  <= 1.0;
	var k1_2 >= 0.0 ,  <= 1.2;
	var phi1_2 >= 0.0001 ,  <= 1.0;
	var k1_3 >= 0.0 ,  <= 1.2;
	var phi1_3 >= 0.0001 ,  <= 1.0;
	var k1_4 >= 0.0 ,  <= 1.2;
	var phi1_4 >= 0.0001 ,  <= 1.0;
	var k1_5 >= 0.0 ,  <= 1.2;
	var phi1_5 >= 0.0001 ,  <= 1.0;
	var k1_6 >= 0.0 ,  <= 1.2;
	var phi1_6 >= 0.0001 ,  <= 1.0;
	var k2_1 >= 0.0 ,  <= 1.2;
	var phi2_1 >= 0.0001 ,  <= 1.0;
	var k2_2 >= 0.0 ,  <= 1.2;
	var phi2_2 >= 0.0001 ,  <= 1.0;
	var k2_3 >= 0.0 ,  <= 1.2;
	var phi2_3 >= 0.0001 ,  <= 1.0;
	var k2_4 >= 0.0 ,  <= 1.2;
	var phi2_4 >= 0.0001 ,  <= 1.0;
	var k2_5 >= 0.0 ,  <= 1.2;
	var phi2_5 >= 0.0001 ,  <= 1.0;
	var k2_6 >= 0.0 ,  <= 1.2;
	var phi2_6 >= 0.0001 ,  <= 1.0;
	var k3_1 >= 0.0 ,  <= 1.2;
	var phi3_1 >= 0.0001 ,  <= 1.0;
	var k3_2 >= 0.0 ,  <= 1.2;
	var phi3_2 >= 0.0001 ,  <= 1.0;
	var k3_3 >= 0.0 ,  <= 1.2;
	var phi3_3 >= 0.0001 ,  <= 1.0;
	var k3_4 >= 0.0 ,  <= 1.2;
	var phi3_4 >= 0.0001 ,  <= 1.0;
	var k3_5 >= 0.0 ,  <= 1.2;
	var phi3_5 >= 0.0001 ,  <= 1.0;
	var k3_6 >= 0.0 ,  <= 1.2;
	var phi3_6 >= 0.0001 ,  <= 1.0;
	var k4_1 >= 0.0 ,  <= 1.2;
	var phi4_1 >= 0.0001 ,  <= 1.0;
	var k4_2 >= 0.0 ,  <= 1.2;
	var phi4_2 >= 0.0001 ,  <= 1.0;
	var k4_3 >= 0.0 ,  <= 1.2;
	var phi4_3 >= 0.0001 ,  <= 1.0;
	var k4_4 >= 0.0 ,  <= 1.2;
	var phi4_4 >= 0.0001 ,  <= 1.0;
	var k4_5 >= 0.0 ,  <= 1.2;
	var phi4_5 >= 0.0001 ,  <= 1.0;
	var k4_6 >= 0.0 ,  <= 1.2;
	var phi4_6 >= 0.0001 ,  <= 1.0;
	var k5_1 >= 0.0 ,  <= 1.2;
	var phi5_1 >= 0.0001 ,  <= 1.0;
	var k5_2 >= 0.0 ,  <= 1.2;
	var phi5_2 >= 0.0001 ,  <= 1.0;
	var k5_3 >= 0.0 ,  <= 1.2;
	var phi5_3 >= 0.0001 ,  <= 1.0;
	var k5_4 >= 0.0 ,  <= 1.2;
	var phi5_4 >= 0.0001 ,  <= 1.0;
	var k5_5 >= 0.0 ,  <= 1.2;
	var phi5_5 >= 0.0001 ,  <= 1.0;
	var k5_6 >= 0.0 ,  <= 1.2;
	var phi5_6 >= 0.0001 ,  <= 1.0;
	var k6_1 >= 0.0 ,  <= 1.2;
	var phi6_1 >= 0.0001 ,  <= 1.0;
	var k6_2 >= 0.0 ,  <= 1.2;
	var phi6_2 >= 0.0001 ,  <= 1.0;
	var k6_3 >= 0.0 ,  <= 1.2;
	var phi6_3 >= 0.0001 ,  <= 1.0;
	var k6_4 >= 0.0 ,  <= 1.2;
	var phi6_4 >= 0.0001 ,  <= 1.0;
	var k6_5 >= 0.0 ,  <= 1.2;
	var phi6_5 >= 0.0001 ,  <= 1.0;
	var k6_6 >= 0.0 ,  <= 1.2;
	var phi6_6 >= 0.0001 ,  <= 1.0;
	var k7_1 >= 0.0 ,  <= 1.2;
	var phi7_1 >= 0.0001 ,  <= 1.0;
	var k7_2 >= 0.0 ,  <= 1.2;
	var phi7_2 >= 0.0001 ,  <= 1.0;
	var k7_3 >= 0.0 ,  <= 1.2;
	var phi7_3 >= 0.0001 ,  <= 1.0;
	var k7_4 >= 0.0 ,  <= 1.2;
	var phi7_4 >= 0.0001 ,  <= 1.0;
	var k7_5 >= 0.0 ,  <= 1.2;
	var phi7_5 >= 0.0001 ,  <= 1.0;
	var k7_6 >= 0.0 ,  <= 1.2;
	var phi7_6 >= 0.0001 ,  <= 1.0;
	var k8_1 >= 0.0 ,  <= 1.2;
	var phi8_1 >= 0.0001 ,  <= 1.0;
	var k8_2 >= 0.0 ,  <= 1.2;
	var phi8_2 >= 0.0001 ,  <= 1.0;
	var k8_3 >= 0.0 ,  <= 1.2;
	var phi8_3 >= 0.0001 ,  <= 1.0;
	var k8_4 >= 0.0 ,  <= 1.2;
	var phi8_4 >= 0.0001 ,  <= 1.0;
	var k8_5 >= 0.0 ,  <= 1.2;
	var phi8_5 >= 0.0001 ,  <= 1.0;
	var k8_6 >= 0.0 ,  <= 1.2;
	var phi8_6 >= 0.0001 ,  <= 1.0;
	var k9_1 >= 0.0 ,  <= 1.2;
	var phi9_1 >= 0.0001 ,  <= 1.0;
	var k9_2 >= 0.0 ,  <= 1.2;
	var phi9_2 >= 0.0001 ,  <= 1.0;
	var k9_3 >= 0.0 ,  <= 1.2;
	var phi9_3 >= 0.0001 ,  <= 1.0;
	var k9_4 >= 0.0 ,  <= 1.2;
	var phi9_4 >= 0.0001 ,  <= 1.0;
	var k9_5 >= 0.0 ,  <= 1.2;
	var phi9_5 >= 0.0001 ,  <= 1.0;
	var k9_6 >= 0.0 ,  <= 1.2;
	var phi9_6 >= 0.0001 ,  <= 1.0;
	var k10_1 >= 0.0 ,  <= 1.2;
	var phi10_1 >= 0.0001 ,  <= 1.0;
	var k10_2 >= 0.0 ,  <= 1.2;
	var phi10_2 >= 0.0001 ,  <= 1.0;
	var k10_3 >= 0.0 ,  <= 1.2;
	var phi10_3 >= 0.0001 ,  <= 1.0;
	var k10_4 >= 0.0 ,  <= 1.2;
	var phi10_4 >= 0.0001 ,  <= 1.0;
	var k10_5 >= 0.0 ,  <= 1.2;
	var phi10_5 >= 0.0001 ,  <= 1.0;
	var k10_6 >= 0.0 ,  <= 1.2;
	var phi10_6 >= 0.0001 ,  <= 1.0;
	var k11_1 >= 0.0 ,  <= 1.2;
	var phi11_1 >= 0.0001 ,  <= 1.0;
	var k11_2 >= 0.0 ,  <= 1.2;
	var phi11_2 >= 0.0001 ,  <= 1.0;
	var k11_3 >= 0.0 ,  <= 1.2;
	var phi11_3 >= 0.0001 ,  <= 1.0;
	var k11_4 >= 0.0 ,  <= 1.2;
	var phi11_4 >= 0.0001 ,  <= 1.0;
	var k11_5 >= 0.0 ,  <= 1.2;
	var phi11_5 >= 0.0001 ,  <= 1.0;
	var k11_6 >= 0.0 ,  <= 1.2;
	var phi11_6 >= 0.0001 ,  <= 1.0;
	var k12_1 >= 0.0 ,  <= 1.2;
	var phi12_1 >= 0.0001 ,  <= 1.0;
	var k12_2 >= 0.0 ,  <= 1.2;
	var phi12_2 >= 0.0001 ,  <= 1.0;
	var k12_3 >= 0.0 ,  <= 1.2;
	var phi12_3 >= 0.0001 ,  <= 1.0;
	var k12_4 >= 0.0 ,  <= 1.2;
	var phi12_4 >= 0.0001 ,  <= 1.0;
	var k12_5 >= 0.0 ,  <= 1.2;
	var phi12_5 >= 0.0001 ,  <= 1.0;
	var k12_6 >= 0.0 ,  <= 1.2;
	var phi12_6 >= 0.0001 ,  <= 1.0;
	var k13_1 >= 0.0 ,  <= 1.2;
	var phi13_1 >= 0.0001 ,  <= 1.0;
	var k13_2 >= 0.0 ,  <= 1.2;
	var phi13_2 >= 0.0001 ,  <= 1.0;
	var k13_3 >= 0.0 ,  <= 1.2;
	var phi13_3 >= 0.0001 ,  <= 1.0;
	var k13_4 >= 0.0 ,  <= 1.2;
	var phi13_4 >= 0.0001 ,  <= 1.0;
	var k13_5 >= 0.0 ,  <= 1.2;
	var phi13_5 >= 0.0001 ,  <= 1.0;
	var k13_6 >= 0.0 ,  <= 1.2;
	var phi13_6 >= 0.0001 ,  <= 1.0;
	var k14_1 >= 0.0 ,  <= 1.2;
	var phi14_1 >= 0.0001 ,  <= 1.0;
	var k14_2 >= 0.0 ,  <= 1.2;
	var phi14_2 >= 0.0001 ,  <= 1.0;
	var k14_3 >= 0.0 ,  <= 1.2;
	var phi14_3 >= 0.0001 ,  <= 1.0;
	var k14_4 >= 0.0 ,  <= 1.2;
	var phi14_4 >= 0.0001 ,  <= 1.0;
	var k14_5 >= 0.0 ,  <= 1.2;
	var phi14_5 >= 0.0001 ,  <= 1.0;
	var k14_6 >= 0.0 ,  <= 1.2;
	var phi14_6 >= 0.0001 ,  <= 1.0;
	var keff1 >= 0.0 ,  <= 1.2;
	var keff2 >= 0.0 ,  <= 1.2;
	var keff3 >= 0.0 ,  <= 1.2;
	var keff4 >= 0.0 ,  <= 1.2;
	var keff5 >= 0.0 ,  <= 1.2;
	var keff6 >= 0.0 ,  <= 1.2;
	var epsilon >= 0.0 ,  <= 100.0;

minimize obj:
	 - keff6 + epsilon;

subject to sumi1_1:
	0.5*x1_1_1 + x2_1_1 + x3_1_1 + x4_1_1 + x5_1_1 + x6_1_1 + 0.5*x7_1_1 + x8_1_1 + 
	x9_1_1 + x10_1_1 + 0.5*x11_1_1 + x12_1_1 + x13_1_1 + 0.5*x14_1_1 - 1.0 = 0;
subject to sumlm1:
	x1_1_1 + x1_1_2 + x1_1_3 + x1_2_1 + x1_2_2 + x1_2_3 + x1_3_1 + x1_3_2 + x1_3_3 
	+ x1_4_1 + x1_4_2 + x1_4_3 - 1.0 = 0;
subject to sumlm2:
	x2_1_1 + x2_1_2 + x2_1_3 + x2_2_1 + x2_2_2 + x2_2_3 + x2_3_1 + x2_3_2 + x2_3_3 
	+ x2_4_1 + x2_4_2 + x2_4_3 - 1.0 = 0;
subject to sumlm3:
	x3_1_1 + x3_1_2 + x3_1_3 + x3_2_1 + x3_2_2 + x3_2_3 + x3_3_1 + x3_3_2 + x3_3_3 
	+ x3_4_1 + x3_4_2 + x3_4_3 - 1.0 = 0;
subject to sumlm4:
	x4_1_1 + x4_1_2 + x4_1_3 + x4_2_1 + x4_2_2 + x4_2_3 + x4_3_1 + x4_3_2 + x4_3_3 
	+ x4_4_1 + x4_4_2 + x4_4_3 - 1.0 = 0;
subject to sumlm5:
	x5_1_1 + x5_1_2 + x5_1_3 + x5_2_1 + x5_2_2 + x5_2_3 + x5_3_1 + x5_3_2 + x5_3_3 
	+ x5_4_1 + x5_4_2 + x5_4_3 - 1.0 = 0;
subject to sumlm6:
	x6_1_1 + x6_1_2 + x6_1_3 + x6_2_1 + x6_2_2 + x6_2_3 + x6_3_1 + x6_3_2 + x6_3_3 
	+ x6_4_1 + x6_4_2 + x6_4_3 - 1.0 = 0;
subject to sumlm7:
	x7_1_1 + x7_1_2 + x7_1_3 + x7_2_1 + x7_2_2 + x7_2_3 + x7_3_1 + x7_3_2 + x7_3_3 
	+ x7_4_1 + x7_4_2 + x7_4_3 - 1.0 = 0;
subject to sumlm8:
	x8_1_1 + x8_1_2 + x8_1_3 + x8_2_1 + x8_2_2 + x8_2_3 + x8_3_1 + x8_3_2 + x8_3_3 
	+ x8_4_1 + x8_4_2 + x8_4_3 - 1.0 = 0;
subject to sumlm9:
	x9_1_1 + x9_1_2 + x9_1_3 + x9_2_1 + x9_2_2 + x9_2_3 + x9_3_1 + x9_3_2 + x9_3_3 
	+ x9_4_1 + x9_4_2 + x9_4_3 - 1.0 = 0;
subject to sumlm10:
	x10_1_1 + x10_1_2 + x10_1_3 + x10_2_1 + x10_2_2 + x10_2_3 + x10_3_1 + x10_3_2 + 
	x10_3_3 + x10_4_1 + x10_4_2 + x10_4_3 - 1.0 = 0;
subject to sumlm11:
	x11_1_1 + x11_1_2 + x11_1_3 + x11_2_1 + x11_2_2 + x11_2_3 + x11_3_1 + x11_3_2 + 
	x11_3_3 + x11_4_1 + x11_4_2 + x11_4_3 - 1.0 = 0;
subject to sumlm12:
	x12_1_1 + x12_1_2 + x12_1_3 + x12_2_1 + x12_2_2 + x12_2_3 + x12_3_1 + x12_3_2 + 
	x12_3_3 + x12_4_1 + x12_4_2 + x12_4_3 - 1.0 = 0;
subject to sumlm13:
	x13_1_1 + x13_1_2 + x13_1_3 + x13_2_1 + x13_2_2 + x13_2_3 + x13_3_1 + x13_3_2 + 
	x13_3_3 + x13_4_1 + x13_4_2 + x13_4_3 - 1.0 = 0;
subject to sumlm14:
	x14_1_1 + x14_1_2 + x14_1_3 + x14_2_1 + x14_2_2 + x14_2_3 + x14_3_1 + x14_3_2 + 
	x14_3_3 + x14_4_1 + x14_4_2 + x14_4_3 - 1.0 = 0;
subject to sumi1_2:
	0.5*x1_1_2 + x2_1_2 + x3_1_2 + x4_1_2 + x5_1_2 + x6_1_2 + 0.5*x7_1_2 + x8_1_2 + 
	x9_1_2 + x10_1_2 + 0.5*x11_1_2 + x12_1_2 + x13_1_2 + 0.5*x14_1_2 - 1.0 = 0;
subject to sumi1_3:
	0.5*x1_1_3 + x2_1_3 + x3_1_3 + x4_1_3 + x5_1_3 + x6_1_3 + 0.5*x7_1_3 + x8_1_3 + 
	x9_1_3 + x10_1_3 + 0.5*x11_1_3 + x12_1_3 + x13_1_3 + 0.5*x14_1_3 - 1.0 = 0;
subject to sumi2_1:
	0.5*x1_2_1 + x2_2_1 + x3_2_1 + x4_2_1 + x5_2_1 + x6_2_1 + 0.5*x7_2_1 + x8_2_1 + 
	x9_2_1 + x10_2_1 + 0.5*x11_2_1 + x12_2_1 + x13_2_1 + 0.5*x14_2_1 - 1.0 = 0;
subject to sumi2_2:
	0.5*x1_2_2 + x2_2_2 + x3_2_2 + x4_2_2 + x5_2_2 + x6_2_2 + 0.5*x7_2_2 + x8_2_2 + 
	x9_2_2 + x10_2_2 + 0.5*x11_2_2 + x12_2_2 + x13_2_2 + 0.5*x14_2_2 - 1.0 = 0;
subject to sumi2_3:
	0.5*x1_2_3 + x2_2_3 + x3_2_3 + x4_2_3 + x5_2_3 + x6_2_3 + 0.5*x7_2_3 + x8_2_3 + 
	x9_2_3 + x10_2_3 + 0.5*x11_2_3 + x12_2_3 + x13_2_3 + 0.5*x14_2_3 - 1.0 = 0;
subject to sumi3_1:
	0.5*x1_3_1 + x2_3_1 + x3_3_1 + x4_3_1 + x5_3_1 + x6_3_1 + 0.5*x7_3_1 + x8_3_1 + 
	x9_3_1 + x10_3_1 + 0.5*x11_3_1 + x12_3_1 + x13_3_1 + 0.5*x14_3_1 - 1.0 = 0;
subject to sumi3_2:
	0.5*x1_3_2 + x2_3_2 + x3_3_2 + x4_3_2 + x5_3_2 + x6_3_2 + 0.5*x7_3_2 + x8_3_2 + 
	x9_3_2 + x10_3_2 + 0.5*x11_3_2 + x12_3_2 + x13_3_2 + 0.5*x14_3_2 - 1.0 = 0;
subject to sumi3_3:
	0.5*x1_3_3 + x2_3_3 + x3_3_3 + x4_3_3 + x5_3_3 + x6_3_3 + 0.5*x7_3_3 + x8_3_3 + 
	x9_3_3 + x10_3_3 + 0.5*x11_3_3 + x12_3_3 + x13_3_3 + 0.5*x14_3_3 - 1.0 = 0;
subject to sumi4_1:
	0.5*x1_4_1 + x2_4_1 + x3_4_1 + x4_4_1 + x5_4_1 + x6_4_1 + 0.5*x7_4_1 + x8_4_1 + 
	x9_4_1 + x10_4_1 + 0.5*x11_4_1 + x12_4_1 + x13_4_1 + 0.5*x14_4_1 - 1.0 = 0;
subject to sumi4_2:
	0.5*x1_4_2 + x2_4_2 + x3_4_2 + x4_4_2 + x5_4_2 + x6_4_2 + 0.5*x7_4_2 + x8_4_2 + 
	x9_4_2 + x10_4_2 + 0.5*x11_4_2 + x12_4_2 + x13_4_2 + 0.5*x14_4_2 - 1.0 = 0;
subject to sumi4_3:
	0.5*x1_4_3 + x2_4_3 + x3_4_3 + x4_4_3 + x5_4_3 + x6_4_3 + 0.5*x7_4_3 + x8_4_3 + 
	x9_4_3 + x10_4_3 + 0.5*x11_4_3 + x12_4_3 + x13_4_3 + 0.5*x14_4_3 - 1.0 = 0;
subject to norm1:
	0.5*k1_1 * phi1_1 + k2_1 * phi2_1 + k3_1 * phi3_1 + k4_1 * phi4_1 + k5_1 * 
	phi5_1 + k6_1 * phi6_1 + 0.5*k7_1 * phi7_1 + k8_1 * phi8_1 + k9_1 * phi9_1 + 
	k10_1 * phi10_1 + 0.5*k11_1 * phi11_1 + k12_1 * phi12_1 + k13_1 * phi13_1 + 
	0.5*k14_1 * phi14_1 - 1.0 = 0;
subject to norm2:
	0.5*k1_2 * phi1_2 + k2_2 * phi2_2 + k3_2 * phi3_2 + k4_2 * phi4_2 + k5_2 * 
	phi5_2 + k6_2 * phi6_2 + 0.5*k7_2 * phi7_2 + k8_2 * phi8_2 + k9_2 * phi9_2 + 
	k10_2 * phi10_2 + 0.5*k11_2 * phi11_2 + k12_2 * phi12_2 + k13_2 * phi13_2 + 
	0.5*k14_2 * phi14_2 - 1.0 = 0;
subject to norm3:
	0.5*k1_3 * phi1_3 + k2_3 * phi2_3 + k3_3 * phi3_3 + k4_3 * phi4_3 + k5_3 * 
	phi5_3 + k6_3 * phi6_3 + 0.5*k7_3 * phi7_3 + k8_3 * phi8_3 + k9_3 * phi9_3 + 
	k10_3 * phi10_3 + 0.5*k11_3 * phi11_3 + k12_3 * phi12_3 + k13_3 * phi13_3 + 
	0.5*k14_3 * phi14_3 - 1.0 = 0;
subject to norm4:
	0.5*k1_4 * phi1_4 + k2_4 * phi2_4 + k3_4 * phi3_4 + k4_4 * phi4_4 + k5_4 * 
	phi5_4 + k6_4 * phi6_4 + 0.5*k7_4 * phi7_4 + k8_4 * phi8_4 + k9_4 * phi9_4 + 
	k10_4 * phi10_4 + 0.5*k11_4 * phi11_4 + k12_4 * phi12_4 + k13_4 * phi13_4 + 
	0.5*k14_4 * phi14_4 - 1.0 = 0;
subject to norm5:
	0.5*k1_5 * phi1_5 + k2_5 * phi2_5 + k3_5 * phi3_5 + k4_5 * phi4_5 + k5_5 * 
	phi5_5 + k6_5 * phi6_5 + 0.5*k7_5 * phi7_5 + k8_5 * phi8_5 + k9_5 * phi9_5 + 
	k10_5 * phi10_5 + 0.5*k11_5 * phi11_5 + k12_5 * phi12_5 + k13_5 * phi13_5 + 
	0.5*k14_5 * phi14_5 - 1.0 = 0;
subject to norm6:
	0.5*k1_6 * phi1_6 + k2_6 * phi2_6 + k3_6 * phi3_6 + k4_6 * phi4_6 + k5_6 * 
	phi5_6 + k6_6 * phi6_6 + 0.5*k7_6 * phi7_6 + k8_6 * phi8_6 + k9_6 * phi9_6 + 
	k10_6 * phi10_6 + 0.5*k11_6 * phi11_6 + k12_6 * phi12_6 + k13_6 * phi13_6 + 
	0.5*k14_6 * phi14_6 - 1.0 = 0;
subject to kern1_1:
	keff1 * phi1_1 - 0.828*k1_1 * phi1_1 - 0.158*k2_1 * phi2_1 - 0.014*k7_1 * 
	phi7_1 = 0;
subject to peak1_1:
	0 >= k1_1 * phi1_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern1_2:
	keff2 * phi1_2 - 0.828*k1_2 * phi1_2 - 0.158*k2_2 * phi2_2 - 0.014*k7_2 * 
	phi7_2 = 0;
subject to peak1_2:
	0 >= k1_2 * phi1_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern1_3:
	keff3 * phi1_3 - 0.828*k1_3 * phi1_3 - 0.158*k2_3 * phi2_3 - 0.014*k7_3 * 
	phi7_3 = 0;
subject to peak1_3:
	0 >= k1_3 * phi1_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern1_4:
	keff4 * phi1_4 - 0.828*k1_4 * phi1_4 - 0.158*k2_4 * phi2_4 - 0.014*k7_4 * 
	phi7_4 = 0;
subject to peak1_4:
	0 >= k1_4 * phi1_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern1_5:
	keff5 * phi1_5 - 0.828*k1_5 * phi1_5 - 0.158*k2_5 * phi2_5 - 0.014*k7_5 * 
	phi7_5 = 0;
subject to peak1_5:
	0 >= k1_5 * phi1_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern1_6:
	keff6 * phi1_6 - 0.828*k1_6 * phi1_6 - 0.158*k2_6 * phi2_6 - 0.014*k7_6 * 
	phi7_6 = 0;
subject to peak1_6:
	0 >= k1_6 * phi1_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_1:
	keff1 * phi2_1 - 0.079*k1_1 * phi1_1 - 0.763*k2_1 * phi2_1 - 0.079*k3_1 * 
	phi3_1 - 0.065*k7_1 * phi7_1 - 0.014*k8_1 * phi8_1 = 0;
subject to peak2_1:
	0 >= k2_1 * phi2_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_2:
	keff2 * phi2_2 - 0.079*k1_2 * phi1_2 - 0.763*k2_2 * phi2_2 - 0.079*k3_2 * 
	phi3_2 - 0.065*k7_2 * phi7_2 - 0.014*k8_2 * phi8_2 = 0;
subject to peak2_2:
	0 >= k2_2 * phi2_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_3:
	keff3 * phi2_3 - 0.079*k1_3 * phi1_3 - 0.763*k2_3 * phi2_3 - 0.079*k3_3 * 
	phi3_3 - 0.065*k7_3 * phi7_3 - 0.014*k8_3 * phi8_3 = 0;
subject to peak2_3:
	0 >= k2_3 * phi2_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_4:
	keff4 * phi2_4 - 0.079*k1_4 * phi1_4 - 0.763*k2_4 * phi2_4 - 0.079*k3_4 * 
	phi3_4 - 0.065*k7_4 * phi7_4 - 0.014*k8_4 * phi8_4 = 0;
subject to peak2_4:
	0 >= k2_4 * phi2_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_5:
	keff5 * phi2_5 - 0.079*k1_5 * phi1_5 - 0.763*k2_5 * phi2_5 - 0.079*k3_5 * 
	phi3_5 - 0.065*k7_5 * phi7_5 - 0.014*k8_5 * phi8_5 = 0;
subject to peak2_5:
	0 >= k2_5 * phi2_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern2_6:
	keff6 * phi2_6 - 0.079*k1_6 * phi1_6 - 0.763*k2_6 * phi2_6 - 0.079*k3_6 * 
	phi3_6 - 0.065*k7_6 * phi7_6 - 0.014*k8_6 * phi8_6 = 0;
subject to peak2_6:
	0 >= k2_6 * phi2_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_1:
	keff1 * phi3_1 - 0.079*k2_1 * phi2_1 - 0.749*k3_1 * phi3_1 - 0.079*k4_1 * 
	phi4_1 - 0.014*k7_1 * phi7_1 - 0.065*k8_1 * phi8_1 - 0.014*k9_1 * phi9_1 = 0;
subject to peak3_1:
	0 >= k3_1 * phi3_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_2:
	keff2 * phi3_2 - 0.079*k2_2 * phi2_2 - 0.749*k3_2 * phi3_2 - 0.079*k4_2 * 
	phi4_2 - 0.014*k7_2 * phi7_2 - 0.065*k8_2 * phi8_2 - 0.014*k9_2 * phi9_2 = 0;
subject to peak3_2:
	0 >= k3_2 * phi3_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_3:
	keff3 * phi3_3 - 0.079*k2_3 * phi2_3 - 0.749*k3_3 * phi3_3 - 0.079*k4_3 * 
	phi4_3 - 0.014*k7_3 * phi7_3 - 0.065*k8_3 * phi8_3 - 0.014*k9_3 * phi9_3 = 0;
subject to peak3_3:
	0 >= k3_3 * phi3_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_4:
	keff4 * phi3_4 - 0.079*k2_4 * phi2_4 - 0.749*k3_4 * phi3_4 - 0.079*k4_4 * 
	phi4_4 - 0.014*k7_4 * phi7_4 - 0.065*k8_4 * phi8_4 - 0.014*k9_4 * phi9_4 = 0;
subject to peak3_4:
	0 >= k3_4 * phi3_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_5:
	keff5 * phi3_5 - 0.079*k2_5 * phi2_5 - 0.749*k3_5 * phi3_5 - 0.079*k4_5 * 
	phi4_5 - 0.014*k7_5 * phi7_5 - 0.065*k8_5 * phi8_5 - 0.014*k9_5 * phi9_5 = 0;
subject to peak3_5:
	0 >= k3_5 * phi3_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern3_6:
	keff6 * phi3_6 - 0.079*k2_6 * phi2_6 - 0.749*k3_6 * phi3_6 - 0.079*k4_6 * 
	phi4_6 - 0.014*k7_6 * phi7_6 - 0.065*k8_6 * phi8_6 - 0.014*k9_6 * phi9_6 = 0;
subject to peak3_6:
	0 >= k3_6 * phi3_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_1:
	keff1 * phi4_1 - 0.079*k3_1 * phi3_1 - 0.749*k4_1 * phi4_1 - 0.079*k5_1 * 
	phi5_1 - 0.014*k8_1 * phi8_1 - 0.065*k9_1 * phi9_1 - 0.014*k10_1 * phi10_1 = 0;
subject to peak4_1:
	0 >= k4_1 * phi4_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_2:
	keff2 * phi4_2 - 0.079*k3_2 * phi3_2 - 0.749*k4_2 * phi4_2 - 0.079*k5_2 * 
	phi5_2 - 0.014*k8_2 * phi8_2 - 0.065*k9_2 * phi9_2 - 0.014*k10_2 * phi10_2 = 0;
subject to peak4_2:
	0 >= k4_2 * phi4_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_3:
	keff3 * phi4_3 - 0.079*k3_3 * phi3_3 - 0.749*k4_3 * phi4_3 - 0.079*k5_3 * 
	phi5_3 - 0.014*k8_3 * phi8_3 - 0.065*k9_3 * phi9_3 - 0.014*k10_3 * phi10_3 = 0;
subject to peak4_3:
	0 >= k4_3 * phi4_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_4:
	keff4 * phi4_4 - 0.079*k3_4 * phi3_4 - 0.749*k4_4 * phi4_4 - 0.079*k5_4 * 
	phi5_4 - 0.014*k8_4 * phi8_4 - 0.065*k9_4 * phi9_4 - 0.014*k10_4 * phi10_4 = 0;
subject to peak4_4:
	0 >= k4_4 * phi4_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_5:
	keff5 * phi4_5 - 0.079*k3_5 * phi3_5 - 0.749*k4_5 * phi4_5 - 0.079*k5_5 * 
	phi5_5 - 0.014*k8_5 * phi8_5 - 0.065*k9_5 * phi9_5 - 0.014*k10_5 * phi10_5 = 0;
subject to peak4_5:
	0 >= k4_5 * phi4_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern4_6:
	keff6 * phi4_6 - 0.079*k3_6 * phi3_6 - 0.749*k4_6 * phi4_6 - 0.079*k5_6 * 
	phi5_6 - 0.014*k8_6 * phi8_6 - 0.065*k9_6 * phi9_6 - 0.014*k10_6 * phi10_6 = 0;
subject to peak4_6:
	0 >= k4_6 * phi4_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_1:
	keff1 * phi5_1 - 0.079*k4_1 * phi4_1 - 0.749*k5_1 * phi5_1 - 0.079*k6_1 * 
	phi6_1 - 0.014*k9_1 * phi9_1 - 0.065*k10_1 * phi10_1 = 0;
subject to peak5_1:
	0 >= k5_1 * phi5_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_2:
	keff2 * phi5_2 - 0.079*k4_2 * phi4_2 - 0.749*k5_2 * phi5_2 - 0.079*k6_2 * 
	phi6_2 - 0.014*k9_2 * phi9_2 - 0.065*k10_2 * phi10_2 = 0;
subject to peak5_2:
	0 >= k5_2 * phi5_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_3:
	keff3 * phi5_3 - 0.079*k4_3 * phi4_3 - 0.749*k5_3 * phi5_3 - 0.079*k6_3 * 
	phi6_3 - 0.014*k9_3 * phi9_3 - 0.065*k10_3 * phi10_3 = 0;
subject to peak5_3:
	0 >= k5_3 * phi5_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_4:
	keff4 * phi5_4 - 0.079*k4_4 * phi4_4 - 0.749*k5_4 * phi5_4 - 0.079*k6_4 * 
	phi6_4 - 0.014*k9_4 * phi9_4 - 0.065*k10_4 * phi10_4 = 0;
subject to peak5_4:
	0 >= k5_4 * phi5_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_5:
	keff5 * phi5_5 - 0.079*k4_5 * phi4_5 - 0.749*k5_5 * phi5_5 - 0.079*k6_5 * 
	phi6_5 - 0.014*k9_5 * phi9_5 - 0.065*k10_5 * phi10_5 = 0;
subject to peak5_5:
	0 >= k5_5 * phi5_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern5_6:
	keff6 * phi5_6 - 0.079*k4_6 * phi4_6 - 0.749*k5_6 * phi5_6 - 0.079*k6_6 * 
	phi6_6 - 0.014*k9_6 * phi9_6 - 0.065*k10_6 * phi10_6 = 0;
subject to peak5_6:
	0 >= k5_6 * phi5_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_1:
	keff1 * phi6_1 - 0.079*k5_1 * phi5_1 - 0.749*k6_1 * phi6_1 - 0.014*k10_1 * 
	phi10_1 = 0;
subject to peak6_1:
	0 >= k6_1 * phi6_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_2:
	keff2 * phi6_2 - 0.079*k5_2 * phi5_2 - 0.749*k6_2 * phi6_2 - 0.014*k10_2 * 
	phi10_2 = 0;
subject to peak6_2:
	0 >= k6_2 * phi6_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_3:
	keff3 * phi6_3 - 0.079*k5_3 * phi5_3 - 0.749*k6_3 * phi6_3 - 0.014*k10_3 * 
	phi10_3 = 0;
subject to peak6_3:
	0 >= k6_3 * phi6_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_4:
	keff4 * phi6_4 - 0.079*k5_4 * phi5_4 - 0.749*k6_4 * phi6_4 - 0.014*k10_4 * 
	phi10_4 = 0;
subject to peak6_4:
	0 >= k6_4 * phi6_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_5:
	keff5 * phi6_5 - 0.079*k5_5 * phi5_5 - 0.749*k6_5 * phi6_5 - 0.014*k10_5 * 
	phi10_5 = 0;
subject to peak6_5:
	0 >= k6_5 * phi6_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern6_6:
	keff6 * phi6_6 - 0.079*k5_6 * phi5_6 - 0.749*k6_6 * phi6_6 - 0.014*k10_6 * 
	phi10_6 = 0;
subject to peak6_6:
	0 >= k6_6 * phi6_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_1:
	keff1 * phi7_1 - 0.014*k1_1 * phi1_1 - 0.13*k2_1 * phi2_1 - 0.028*k3_1 * phi3_1 
	- 0.684*k7_1 * phi7_1 - 0.13*k8_1 * phi8_1 - 0.014*k11_1 * phi11_1 = 0;
subject to peak7_1:
	0 >= k7_1 * phi7_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_2:
	keff2 * phi7_2 - 0.014*k1_2 * phi1_2 - 0.13*k2_2 * phi2_2 - 0.028*k3_2 * phi3_2 
	- 0.684*k7_2 * phi7_2 - 0.13*k8_2 * phi8_2 - 0.014*k11_2 * phi11_2 = 0;
subject to peak7_2:
	0 >= k7_2 * phi7_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_3:
	keff3 * phi7_3 - 0.014*k1_3 * phi1_3 - 0.13*k2_3 * phi2_3 - 0.028*k3_3 * phi3_3 
	- 0.684*k7_3 * phi7_3 - 0.13*k8_3 * phi8_3 - 0.014*k11_3 * phi11_3 = 0;
subject to peak7_3:
	0 >= k7_3 * phi7_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_4:
	keff4 * phi7_4 - 0.014*k1_4 * phi1_4 - 0.13*k2_4 * phi2_4 - 0.028*k3_4 * phi3_4 
	- 0.684*k7_4 * phi7_4 - 0.13*k8_4 * phi8_4 - 0.014*k11_4 * phi11_4 = 0;
subject to peak7_4:
	0 >= k7_4 * phi7_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_5:
	keff5 * phi7_5 - 0.014*k1_5 * phi1_5 - 0.13*k2_5 * phi2_5 - 0.028*k3_5 * phi3_5 
	- 0.684*k7_5 * phi7_5 - 0.13*k8_5 * phi8_5 - 0.014*k11_5 * phi11_5 = 0;
subject to peak7_5:
	0 >= k7_5 * phi7_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern7_6:
	keff6 * phi7_6 - 0.014*k1_6 * phi1_6 - 0.13*k2_6 * phi2_6 - 0.028*k3_6 * phi3_6 
	- 0.684*k7_6 * phi7_6 - 0.13*k8_6 * phi8_6 - 0.014*k11_6 * phi11_6 = 0;
subject to peak7_6:
	0 >= k7_6 * phi7_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_1:
	keff1 * phi8_1 - 0.014*k2_1 * phi2_1 - 0.065*k3_1 * phi3_1 - 0.014*k4_1 * 
	phi4_1 - 0.065*k7_1 * phi7_1 - 0.698*k8_1 * phi8_1 - 0.065*k9_1 * phi9_1 - 
	0.065*k11_1 * phi11_1 - 0.014*k12_1 * phi12_1 = 0;
subject to peak8_1:
	0 >= k8_1 * phi8_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_2:
	keff2 * phi8_2 - 0.014*k2_2 * phi2_2 - 0.065*k3_2 * phi3_2 - 0.014*k4_2 * 
	phi4_2 - 0.065*k7_2 * phi7_2 - 0.698*k8_2 * phi8_2 - 0.065*k9_2 * phi9_2 - 
	0.065*k11_2 * phi11_2 - 0.014*k12_2 * phi12_2 = 0;
subject to peak8_2:
	0 >= k8_2 * phi8_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_3:
	keff3 * phi8_3 - 0.014*k2_3 * phi2_3 - 0.065*k3_3 * phi3_3 - 0.014*k4_3 * 
	phi4_3 - 0.065*k7_3 * phi7_3 - 0.698*k8_3 * phi8_3 - 0.065*k9_3 * phi9_3 - 
	0.065*k11_3 * phi11_3 - 0.014*k12_3 * phi12_3 = 0;
subject to peak8_3:
	0 >= k8_3 * phi8_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_4:
	keff4 * phi8_4 - 0.014*k2_4 * phi2_4 - 0.065*k3_4 * phi3_4 - 0.014*k4_4 * 
	phi4_4 - 0.065*k7_4 * phi7_4 - 0.698*k8_4 * phi8_4 - 0.065*k9_4 * phi9_4 - 
	0.065*k11_4 * phi11_4 - 0.014*k12_4 * phi12_4 = 0;
subject to peak8_4:
	0 >= k8_4 * phi8_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_5:
	keff5 * phi8_5 - 0.014*k2_5 * phi2_5 - 0.065*k3_5 * phi3_5 - 0.014*k4_5 * 
	phi4_5 - 0.065*k7_5 * phi7_5 - 0.698*k8_5 * phi8_5 - 0.065*k9_5 * phi9_5 - 
	0.065*k11_5 * phi11_5 - 0.014*k12_5 * phi12_5 = 0;
subject to peak8_5:
	0 >= k8_5 * phi8_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern8_6:
	keff6 * phi8_6 - 0.014*k2_6 * phi2_6 - 0.065*k3_6 * phi3_6 - 0.014*k4_6 * 
	phi4_6 - 0.065*k7_6 * phi7_6 - 0.698*k8_6 * phi8_6 - 0.065*k9_6 * phi9_6 - 
	0.065*k11_6 * phi11_6 - 0.014*k12_6 * phi12_6 = 0;
subject to peak8_6:
	0 >= k8_6 * phi8_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_1:
	keff1 * phi9_1 - 0.014*k3_1 * phi3_1 - 0.065*k4_1 * phi4_1 - 0.014*k5_1 * 
	phi5_1 - 0.065*k8_1 * phi8_1 - 0.684*k9_1 * phi9_1 - 0.065*k10_1 * phi10_1 - 
	0.014*k11_1 * phi11_1 - 0.065*k12_1 * phi12_1 - 0.014*k13_1 * phi13_1 = 0;
subject to peak9_1:
	0 >= k9_1 * phi9_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_2:
	keff2 * phi9_2 - 0.014*k3_2 * phi3_2 - 0.065*k4_2 * phi4_2 - 0.014*k5_2 * 
	phi5_2 - 0.065*k8_2 * phi8_2 - 0.684*k9_2 * phi9_2 - 0.065*k10_2 * phi10_2 - 
	0.014*k11_2 * phi11_2 - 0.065*k12_2 * phi12_2 - 0.014*k13_2 * phi13_2 = 0;
subject to peak9_2:
	0 >= k9_2 * phi9_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_3:
	keff3 * phi9_3 - 0.014*k3_3 * phi3_3 - 0.065*k4_3 * phi4_3 - 0.014*k5_3 * 
	phi5_3 - 0.065*k8_3 * phi8_3 - 0.684*k9_3 * phi9_3 - 0.065*k10_3 * phi10_3 - 
	0.014*k11_3 * phi11_3 - 0.065*k12_3 * phi12_3 - 0.014*k13_3 * phi13_3 = 0;
subject to peak9_3:
	0 >= k9_3 * phi9_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_4:
	keff4 * phi9_4 - 0.014*k3_4 * phi3_4 - 0.065*k4_4 * phi4_4 - 0.014*k5_4 * 
	phi5_4 - 0.065*k8_4 * phi8_4 - 0.684*k9_4 * phi9_4 - 0.065*k10_4 * phi10_4 - 
	0.014*k11_4 * phi11_4 - 0.065*k12_4 * phi12_4 - 0.014*k13_4 * phi13_4 = 0;
subject to peak9_4:
	0 >= k9_4 * phi9_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_5:
	keff5 * phi9_5 - 0.014*k3_5 * phi3_5 - 0.065*k4_5 * phi4_5 - 0.014*k5_5 * 
	phi5_5 - 0.065*k8_5 * phi8_5 - 0.684*k9_5 * phi9_5 - 0.065*k10_5 * phi10_5 - 
	0.014*k11_5 * phi11_5 - 0.065*k12_5 * phi12_5 - 0.014*k13_5 * phi13_5 = 0;
subject to peak9_5:
	0 >= k9_5 * phi9_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern9_6:
	keff6 * phi9_6 - 0.014*k3_6 * phi3_6 - 0.065*k4_6 * phi4_6 - 0.014*k5_6 * 
	phi5_6 - 0.065*k8_6 * phi8_6 - 0.684*k9_6 * phi9_6 - 0.065*k10_6 * phi10_6 - 
	0.014*k11_6 * phi11_6 - 0.065*k12_6 * phi12_6 - 0.014*k13_6 * phi13_6 = 0;
subject to peak9_6:
	0 >= k9_6 * phi9_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_1:
	keff1 * phi10_1 - 0.014*k4_1 * phi4_1 - 0.065*k5_1 * phi5_1 - 0.014*k6_1 * 
	phi6_1 - 0.065*k9_1 * phi9_1 - 0.684*k10_1 * phi10_1 - 0.014*k12_1 * phi12_1 - 
	0.065*k13_1 * phi13_1 = 0;
subject to peak10_1:
	0 >= k10_1 * phi10_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_2:
	keff2 * phi10_2 - 0.014*k4_2 * phi4_2 - 0.065*k5_2 * phi5_2 - 0.014*k6_2 * 
	phi6_2 - 0.065*k9_2 * phi9_2 - 0.684*k10_2 * phi10_2 - 0.014*k12_2 * phi12_2 - 
	0.065*k13_2 * phi13_2 = 0;
subject to peak10_2:
	0 >= k10_2 * phi10_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_3:
	keff3 * phi10_3 - 0.014*k4_3 * phi4_3 - 0.065*k5_3 * phi5_3 - 0.014*k6_3 * 
	phi6_3 - 0.065*k9_3 * phi9_3 - 0.684*k10_3 * phi10_3 - 0.014*k12_3 * phi12_3 - 
	0.065*k13_3 * phi13_3 = 0;
subject to peak10_3:
	0 >= k10_3 * phi10_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_4:
	keff4 * phi10_4 - 0.014*k4_4 * phi4_4 - 0.065*k5_4 * phi5_4 - 0.014*k6_4 * 
	phi6_4 - 0.065*k9_4 * phi9_4 - 0.684*k10_4 * phi10_4 - 0.014*k12_4 * phi12_4 - 
	0.065*k13_4 * phi13_4 = 0;
subject to peak10_4:
	0 >= k10_4 * phi10_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_5:
	keff5 * phi10_5 - 0.014*k4_5 * phi4_5 - 0.065*k5_5 * phi5_5 - 0.014*k6_5 * 
	phi6_5 - 0.065*k9_5 * phi9_5 - 0.684*k10_5 * phi10_5 - 0.014*k12_5 * phi12_5 - 
	0.065*k13_5 * phi13_5 = 0;
subject to peak10_5:
	0 >= k10_5 * phi10_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern10_6:
	keff6 * phi10_6 - 0.014*k4_6 * phi4_6 - 0.065*k5_6 * phi5_6 - 0.014*k6_6 * 
	phi6_6 - 0.065*k9_6 * phi9_6 - 0.684*k10_6 * phi10_6 - 0.014*k12_6 * phi12_6 - 
	0.065*k13_6 * phi13_6 = 0;
subject to peak10_6:
	0 >= k10_6 * phi10_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_1:
	keff1 * phi11_1 - 0.014*k7_1 * phi7_1 - 0.13*k8_1 * phi8_1 - 0.028*k9_1 * 
	phi9_1 - 0.684*k11_1 * phi11_1 - 0.13*k12_1 * phi12_1 - 0.014*k14_1 * phi14_1 = 
	0;
subject to peak11_1:
	0 >= k11_1 * phi11_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_2:
	keff2 * phi11_2 - 0.014*k7_2 * phi7_2 - 0.13*k8_2 * phi8_2 - 0.028*k9_2 * 
	phi9_2 - 0.684*k11_2 * phi11_2 - 0.13*k12_2 * phi12_2 - 0.014*k14_2 * phi14_2 = 
	0;
subject to peak11_2:
	0 >= k11_2 * phi11_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_3:
	keff3 * phi11_3 - 0.014*k7_3 * phi7_3 - 0.13*k8_3 * phi8_3 - 0.028*k9_3 * 
	phi9_3 - 0.684*k11_3 * phi11_3 - 0.13*k12_3 * phi12_3 - 0.014*k14_3 * phi14_3 = 
	0;
subject to peak11_3:
	0 >= k11_3 * phi11_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_4:
	keff4 * phi11_4 - 0.014*k7_4 * phi7_4 - 0.13*k8_4 * phi8_4 - 0.028*k9_4 * 
	phi9_4 - 0.684*k11_4 * phi11_4 - 0.13*k12_4 * phi12_4 - 0.014*k14_4 * phi14_4 = 
	0;
subject to peak11_4:
	0 >= k11_4 * phi11_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_5:
	keff5 * phi11_5 - 0.014*k7_5 * phi7_5 - 0.13*k8_5 * phi8_5 - 0.028*k9_5 * 
	phi9_5 - 0.684*k11_5 * phi11_5 - 0.13*k12_5 * phi12_5 - 0.014*k14_5 * phi14_5 = 
	0;
subject to peak11_5:
	0 >= k11_5 * phi11_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern11_6:
	keff6 * phi11_6 - 0.014*k7_6 * phi7_6 - 0.13*k8_6 * phi8_6 - 0.028*k9_6 * 
	phi9_6 - 0.684*k11_6 * phi11_6 - 0.13*k12_6 * phi12_6 - 0.014*k14_6 * phi14_6 = 
	0;
subject to peak11_6:
	0 >= k11_6 * phi11_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_1:
	keff1 * phi12_1 - 0.014*k8_1 * phi8_1 - 0.065*k9_1 * phi9_1 - 0.014*k10_1 * 
	phi10_1 - 0.065*k11_1 * phi11_1 - 0.698*k12_1 * phi12_1 - 0.065*k13_1 * phi13_1 
	- 0.065*k14_1 * phi14_1 = 0;
subject to peak12_1:
	0 >= k12_1 * phi12_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_2:
	keff2 * phi12_2 - 0.014*k8_2 * phi8_2 - 0.065*k9_2 * phi9_2 - 0.014*k10_2 * 
	phi10_2 - 0.065*k11_2 * phi11_2 - 0.698*k12_2 * phi12_2 - 0.065*k13_2 * phi13_2 
	- 0.065*k14_2 * phi14_2 = 0;
subject to peak12_2:
	0 >= k12_2 * phi12_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_3:
	keff3 * phi12_3 - 0.014*k8_3 * phi8_3 - 0.065*k9_3 * phi9_3 - 0.014*k10_3 * 
	phi10_3 - 0.065*k11_3 * phi11_3 - 0.698*k12_3 * phi12_3 - 0.065*k13_3 * phi13_3 
	- 0.065*k14_3 * phi14_3 = 0;
subject to peak12_3:
	0 >= k12_3 * phi12_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_4:
	keff4 * phi12_4 - 0.014*k8_4 * phi8_4 - 0.065*k9_4 * phi9_4 - 0.014*k10_4 * 
	phi10_4 - 0.065*k11_4 * phi11_4 - 0.698*k12_4 * phi12_4 - 0.065*k13_4 * phi13_4 
	- 0.065*k14_4 * phi14_4 = 0;
subject to peak12_4:
	0 >= k12_4 * phi12_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_5:
	keff5 * phi12_5 - 0.014*k8_5 * phi8_5 - 0.065*k9_5 * phi9_5 - 0.014*k10_5 * 
	phi10_5 - 0.065*k11_5 * phi11_5 - 0.698*k12_5 * phi12_5 - 0.065*k13_5 * phi13_5 
	- 0.065*k14_5 * phi14_5 = 0;
subject to peak12_5:
	0 >= k12_5 * phi12_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern12_6:
	keff6 * phi12_6 - 0.014*k8_6 * phi8_6 - 0.065*k9_6 * phi9_6 - 0.014*k10_6 * 
	phi10_6 - 0.065*k11_6 * phi11_6 - 0.698*k12_6 * phi12_6 - 0.065*k13_6 * phi13_6 
	- 0.065*k14_6 * phi14_6 = 0;
subject to peak12_6:
	0 >= k12_6 * phi12_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_1:
	keff1 * phi13_1 - 0.014*k9_1 * phi9_1 - 0.065*k10_1 * phi10_1 - 0.065*k12_1 * 
	phi12_1 - 0.684*k13_1 * phi13_1 - 0.014*k14_1 * phi14_1 = 0;
subject to peak13_1:
	0 >= k13_1 * phi13_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_2:
	keff2 * phi13_2 - 0.014*k9_2 * phi9_2 - 0.065*k10_2 * phi10_2 - 0.065*k12_2 * 
	phi12_2 - 0.684*k13_2 * phi13_2 - 0.014*k14_2 * phi14_2 = 0;
subject to peak13_2:
	0 >= k13_2 * phi13_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_3:
	keff3 * phi13_3 - 0.014*k9_3 * phi9_3 - 0.065*k10_3 * phi10_3 - 0.065*k12_3 * 
	phi12_3 - 0.684*k13_3 * phi13_3 - 0.014*k14_3 * phi14_3 = 0;
subject to peak13_3:
	0 >= k13_3 * phi13_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_4:
	keff4 * phi13_4 - 0.014*k9_4 * phi9_4 - 0.065*k10_4 * phi10_4 - 0.065*k12_4 * 
	phi12_4 - 0.684*k13_4 * phi13_4 - 0.014*k14_4 * phi14_4 = 0;
subject to peak13_4:
	0 >= k13_4 * phi13_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_5:
	keff5 * phi13_5 - 0.014*k9_5 * phi9_5 - 0.065*k10_5 * phi10_5 - 0.065*k12_5 * 
	phi12_5 - 0.684*k13_5 * phi13_5 - 0.014*k14_5 * phi14_5 = 0;
subject to peak13_5:
	0 >= k13_5 * phi13_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern13_6:
	keff6 * phi13_6 - 0.014*k9_6 * phi9_6 - 0.065*k10_6 * phi10_6 - 0.065*k12_6 * 
	phi12_6 - 0.684*k13_6 * phi13_6 - 0.014*k14_6 * phi14_6 = 0;
subject to peak13_6:
	0 >= k13_6 * phi13_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_1:
	keff1 * phi14_1 - 0.014*k11_1 * phi11_1 - 0.13*k12_1 * phi12_1 - 0.028*k13_1 * 
	phi13_1 - 0.684*k14_1 * phi14_1 = 0;
subject to peak14_1:
	0 >= k14_1 * phi14_1 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_2:
	keff2 * phi14_2 - 0.014*k11_2 * phi11_2 - 0.13*k12_2 * phi12_2 - 0.028*k13_2 * 
	phi13_2 - 0.684*k14_2 * phi14_2 = 0;
subject to peak14_2:
	0 >= k14_2 * phi14_2 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_3:
	keff3 * phi14_3 - 0.014*k11_3 * phi11_3 - 0.13*k12_3 * phi12_3 - 0.028*k13_3 * 
	phi13_3 - 0.684*k14_3 * phi14_3 = 0;
subject to peak14_3:
	0 >= k14_3 * phi14_3 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_4:
	keff4 * phi14_4 - 0.014*k11_4 * phi11_4 - 0.13*k12_4 * phi12_4 - 0.028*k13_4 * 
	phi13_4 - 0.684*k14_4 * phi14_4 = 0;
subject to peak14_4:
	0 >= k14_4 * phi14_4 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_5:
	keff5 * phi14_5 - 0.014*k11_5 * phi11_5 - 0.13*k12_5 * phi12_5 - 0.028*k13_5 * 
	phi13_5 - 0.684*k14_5 * phi14_5 = 0;
subject to peak14_5:
	0 >= k14_5 * phi14_5 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to kern14_6:
	keff6 * phi14_6 - 0.014*k11_6 * phi11_6 - 0.13*k12_6 * phi12_6 - 0.028*k13_6 * 
	phi13_6 - 0.684*k14_6 * phi14_6 = 0;
subject to peak14_6:
	0 >= k14_6 * phi14_6 - 0.16666666666666666*epsilon - 0.16666666666666666;
subject to burn1_1:
	0.15288000000000002*k1_1 * phi1_1 + k1_2 - k1_1 = 0;
subject to burn1_2:
	0.15288000000000002*k1_2 * phi1_2 + k1_3 - k1_2 = 0;
subject to burn1_3:
	0.15288000000000002*k1_3 * phi1_3 + k1_4 - k1_3 = 0;
subject to burn1_4:
	0.15288000000000002*k1_4 * phi1_4 + k1_5 - k1_4 = 0;
subject to burn1_5:
	0.15288000000000002*k1_5 * phi1_5 + k1_6 - k1_5 = 0;
subject to burn2_1:
	0.15288000000000002*k2_1 * phi2_1 + k2_2 - k2_1 = 0;
subject to burn2_2:
	0.15288000000000002*k2_2 * phi2_2 + k2_3 - k2_2 = 0;
subject to burn2_3:
	0.15288000000000002*k2_3 * phi2_3 + k2_4 - k2_3 = 0;
subject to burn2_4:
	0.15288000000000002*k2_4 * phi2_4 + k2_5 - k2_4 = 0;
subject to burn2_5:
	0.15288000000000002*k2_5 * phi2_5 + k2_6 - k2_5 = 0;
subject to burn3_1:
	0.15288000000000002*k3_1 * phi3_1 + k3_2 - k3_1 = 0;
subject to burn3_2:
	0.15288000000000002*k3_2 * phi3_2 + k3_3 - k3_2 = 0;
subject to burn3_3:
	0.15288000000000002*k3_3 * phi3_3 + k3_4 - k3_3 = 0;
subject to burn3_4:
	0.15288000000000002*k3_4 * phi3_4 + k3_5 - k3_4 = 0;
subject to burn3_5:
	0.15288000000000002*k3_5 * phi3_5 + k3_6 - k3_5 = 0;
subject to burn4_1:
	0.15288000000000002*k4_1 * phi4_1 + k4_2 - k4_1 = 0;
subject to burn4_2:
	0.15288000000000002*k4_2 * phi4_2 + k4_3 - k4_2 = 0;
subject to burn4_3:
	0.15288000000000002*k4_3 * phi4_3 + k4_4 - k4_3 = 0;
subject to burn4_4:
	0.15288000000000002*k4_4 * phi4_4 + k4_5 - k4_4 = 0;
subject to burn4_5:
	0.15288000000000002*k4_5 * phi4_5 + k4_6 - k4_5 = 0;
subject to burn5_1:
	0.15288000000000002*k5_1 * phi5_1 + k5_2 - k5_1 = 0;
subject to burn5_2:
	0.15288000000000002*k5_2 * phi5_2 + k5_3 - k5_2 = 0;
subject to burn5_3:
	0.15288000000000002*k5_3 * phi5_3 + k5_4 - k5_3 = 0;
subject to burn5_4:
	0.15288000000000002*k5_4 * phi5_4 + k5_5 - k5_4 = 0;
subject to burn5_5:
	0.15288000000000002*k5_5 * phi5_5 + k5_6 - k5_5 = 0;
subject to burn6_1:
	0.15288000000000002*k6_1 * phi6_1 + k6_2 - k6_1 = 0;
subject to burn6_2:
	0.15288000000000002*k6_2 * phi6_2 + k6_3 - k6_2 = 0;
subject to burn6_3:
	0.15288000000000002*k6_3 * phi6_3 + k6_4 - k6_3 = 0;
subject to burn6_4:
	0.15288000000000002*k6_4 * phi6_4 + k6_5 - k6_4 = 0;
subject to burn6_5:
	0.15288000000000002*k6_5 * phi6_5 + k6_6 - k6_5 = 0;
subject to burn7_1:
	0.15288000000000002*k7_1 * phi7_1 + k7_2 - k7_1 = 0;
subject to burn7_2:
	0.15288000000000002*k7_2 * phi7_2 + k7_3 - k7_2 = 0;
subject to burn7_3:
	0.15288000000000002*k7_3 * phi7_3 + k7_4 - k7_3 = 0;
subject to burn7_4:
	0.15288000000000002*k7_4 * phi7_4 + k7_5 - k7_4 = 0;
subject to burn7_5:
	0.15288000000000002*k7_5 * phi7_5 + k7_6 - k7_5 = 0;
subject to burn8_1:
	0.15288000000000002*k8_1 * phi8_1 + k8_2 - k8_1 = 0;
subject to burn8_2:
	0.15288000000000002*k8_2 * phi8_2 + k8_3 - k8_2 = 0;
subject to burn8_3:
	0.15288000000000002*k8_3 * phi8_3 + k8_4 - k8_3 = 0;
subject to burn8_4:
	0.15288000000000002*k8_4 * phi8_4 + k8_5 - k8_4 = 0;
subject to burn8_5:
	0.15288000000000002*k8_5 * phi8_5 + k8_6 - k8_5 = 0;
subject to burn9_1:
	0.15288000000000002*k9_1 * phi9_1 + k9_2 - k9_1 = 0;
subject to burn9_2:
	0.15288000000000002*k9_2 * phi9_2 + k9_3 - k9_2 = 0;
subject to burn9_3:
	0.15288000000000002*k9_3 * phi9_3 + k9_4 - k9_3 = 0;
subject to burn9_4:
	0.15288000000000002*k9_4 * phi9_4 + k9_5 - k9_4 = 0;
subject to burn9_5:
	0.15288000000000002*k9_5 * phi9_5 + k9_6 - k9_5 = 0;
subject to burn10_1:
	0.15288000000000002*k10_1 * phi10_1 + k10_2 - k10_1 = 0;
subject to burn10_2:
	0.15288000000000002*k10_2 * phi10_2 + k10_3 - k10_2 = 0;
subject to burn10_3:
	0.15288000000000002*k10_3 * phi10_3 + k10_4 - k10_3 = 0;
subject to burn10_4:
	0.15288000000000002*k10_4 * phi10_4 + k10_5 - k10_4 = 0;
subject to burn10_5:
	0.15288000000000002*k10_5 * phi10_5 + k10_6 - k10_5 = 0;
subject to burn11_1:
	0.15288000000000002*k11_1 * phi11_1 + k11_2 - k11_1 = 0;
subject to burn11_2:
	0.15288000000000002*k11_2 * phi11_2 + k11_3 - k11_2 = 0;
subject to burn11_3:
	0.15288000000000002*k11_3 * phi11_3 + k11_4 - k11_3 = 0;
subject to burn11_4:
	0.15288000000000002*k11_4 * phi11_4 + k11_5 - k11_4 = 0;
subject to burn11_5:
	0.15288000000000002*k11_5 * phi11_5 + k11_6 - k11_5 = 0;
subject to burn12_1:
	0.15288000000000002*k12_1 * phi12_1 + k12_2 - k12_1 = 0;
subject to burn12_2:
	0.15288000000000002*k12_2 * phi12_2 + k12_3 - k12_2 = 0;
subject to burn12_3:
	0.15288000000000002*k12_3 * phi12_3 + k12_4 - k12_3 = 0;
subject to burn12_4:
	0.15288000000000002*k12_4 * phi12_4 + k12_5 - k12_4 = 0;
subject to burn12_5:
	0.15288000000000002*k12_5 * phi12_5 + k12_6 - k12_5 = 0;
subject to burn13_1:
	0.15288000000000002*k13_1 * phi13_1 + k13_2 - k13_1 = 0;
subject to burn13_2:
	0.15288000000000002*k13_2 * phi13_2 + k13_3 - k13_2 = 0;
subject to burn13_3:
	0.15288000000000002*k13_3 * phi13_3 + k13_4 - k13_3 = 0;
subject to burn13_4:
	0.15288000000000002*k13_4 * phi13_4 + k13_5 - k13_4 = 0;
subject to burn13_5:
	0.15288000000000002*k13_5 * phi13_5 + k13_6 - k13_5 = 0;
subject to burn14_1:
	0.15288000000000002*k14_1 * phi14_1 + k14_2 - k14_1 = 0;
subject to burn14_2:
	0.15288000000000002*k14_2 * phi14_2 + k14_3 - k14_2 = 0;
subject to burn14_3:
	0.15288000000000002*k14_3 * phi14_3 + k14_4 - k14_3 = 0;
subject to burn14_4:
	0.15288000000000002*k14_4 * phi14_4 + k14_5 - k14_4 = 0;
subject to burn14_5:
	0.15288000000000002*k14_5 * phi14_5 + k14_6 - k14_5 = 0;
subject to plac1:
	-0.5*x1_2_1 * x1_1_1 * k1_6 - 0.5*x1_3_1 * x1_2_1 * k1_6 - 0.5*x1_4_1 * x1_3_1 
	* k1_6 - 0.5*x1_2_2 * x1_1_2 * k1_6 - 0.5*x1_3_2 * x1_2_2 * k1_6 - 0.5*x1_4_2 * 
	x1_3_2 * k1_6 - 0.5*x1_2_3 * x1_1_3 * k1_6 - 0.5*x1_3_3 * x1_2_3 * k1_6 - 
	0.5*x1_4_3 * x1_3_3 * k1_6 - x1_2_1 * x2_1_1 * k2_6 - x1_3_1 * x2_2_1 * k2_6 - 
	x1_4_1 * x2_3_1 * k2_6 - x1_2_2 * x2_1_2 * k2_6 - x1_3_2 * x2_2_2 * k2_6 - 
	x1_4_2 * x2_3_2 * k2_6 - x1_2_3 * x2_1_3 * k2_6 - x1_3_3 * x2_2_3 * k2_6 - 
	x1_4_3 * x2_3_3 * k2_6 - x1_2_1 * x3_1_1 * k3_6 - x1_3_1 * x3_2_1 * k3_6 - 
	x1_4_1 * x3_3_1 * k3_6 - x1_2_2 * x3_1_2 * k3_6 - x1_3_2 * x3_2_2 * k3_6 - 
	x1_4_2 * x3_3_2 * k3_6 - x1_2_3 * x3_1_3 * k3_6 - x1_3_3 * x3_2_3 * k3_6 - 
	x1_4_3 * x3_3_3 * k3_6 - x1_2_1 * x4_1_1 * k4_6 - x1_3_1 * x4_2_1 * k4_6 - 
	x1_4_1 * x4_3_1 * k4_6 - x1_2_2 * x4_1_2 * k4_6 - x1_3_2 * x4_2_2 * k4_6 - 
	x1_4_2 * x4_3_2 * k4_6 - x1_2_3 * x4_1_3 * k4_6 - x1_3_3 * x4_2_3 * k4_6 - 
	x1_4_3 * x4_3_3 * k4_6 - x1_2_1 * x5_1_1 * k5_6 - x1_3_1 * x5_2_1 * k5_6 - 
	x1_4_1 * x5_3_1 * k5_6 - x1_2_2 * x5_1_2 * k5_6 - x1_3_2 * x5_2_2 * k5_6 - 
	x1_4_2 * x5_3_2 * k5_6 - x1_2_3 * x5_1_3 * k5_6 - x1_3_3 * x5_2_3 * k5_6 - 
	x1_4_3 * x5_3_3 * k5_6 - x1_2_1 * x6_1_1 * k6_6 - x1_3_1 * x6_2_1 * k6_6 - 
	x1_4_1 * x6_3_1 * k6_6 - x1_2_2 * x6_1_2 * k6_6 - x1_3_2 * x6_2_2 * k6_6 - 
	x1_4_2 * x6_3_2 * k6_6 - x1_2_3 * x6_1_3 * k6_6 - x1_3_3 * x6_2_3 * k6_6 - 
	x1_4_3 * x6_3_3 * k6_6 - 0.5*x1_2_1 * x7_1_1 * k7_6 - 0.5*x1_3_1 * x7_2_1 * 
	k7_6 - 0.5*x1_4_1 * x7_3_1 * k7_6 - 0.5*x1_2_2 * x7_1_2 * k7_6 - 0.5*x1_3_2 * 
	x7_2_2 * k7_6 - 0.5*x1_4_2 * x7_3_2 * k7_6 - 0.5*x1_2_3 * x7_1_3 * k7_6 - 
	0.5*x1_3_3 * x7_2_3 * k7_6 - 0.5*x1_4_3 * x7_3_3 * k7_6 - x1_2_1 * x8_1_1 * 
	k8_6 - x1_3_1 * x8_2_1 * k8_6 - x1_4_1 * x8_3_1 * k8_6 - x1_2_2 * x8_1_2 * k8_6 
	- x1_3_2 * x8_2_2 * k8_6 - x1_4_2 * x8_3_2 * k8_6 - x1_2_3 * x8_1_3 * k8_6 - 
	x1_3_3 * x8_2_3 * k8_6 - x1_4_3 * x8_3_3 * k8_6 - x1_2_1 * x9_1_1 * k9_6 - 
	x1_3_1 * x9_2_1 * k9_6 - x1_4_1 * x9_3_1 * k9_6 - x1_2_2 * x9_1_2 * k9_6 - 
	x1_3_2 * x9_2_2 * k9_6 - x1_4_2 * x9_3_2 * k9_6 - x1_2_3 * x9_1_3 * k9_6 - 
	x1_3_3 * x9_2_3 * k9_6 - x1_4_3 * x9_3_3 * k9_6 - x1_2_1 * x10_1_1 * k10_6 - 
	x1_3_1 * x10_2_1 * k10_6 - x1_4_1 * x10_3_1 * k10_6 - x1_2_2 * x10_1_2 * k10_6 
	- x1_3_2 * x10_2_2 * k10_6 - x1_4_2 * x10_3_2 * k10_6 - x1_2_3 * x10_1_3 * 
	k10_6 - x1_3_3 * x10_2_3 * k10_6 - x1_4_3 * x10_3_3 * k10_6 - 0.5*x1_2_1 * 
	x11_1_1 * k11_6 - 0.5*x1_3_1 * x11_2_1 * k11_6 - 0.5*x1_4_1 * x11_3_1 * k11_6 - 
	0.5*x1_2_2 * x11_1_2 * k11_6 - 0.5*x1_3_2 * x11_2_2 * k11_6 - 0.5*x1_4_2 * 
	x11_3_2 * k11_6 - 0.5*x1_2_3 * x11_1_3 * k11_6 - 0.5*x1_3_3 * x11_2_3 * k11_6 - 
	0.5*x1_4_3 * x11_3_3 * k11_6 - x1_2_1 * x12_1_1 * k12_6 - x1_3_1 * x12_2_1 * 
	k12_6 - x1_4_1 * x12_3_1 * k12_6 - x1_2_2 * x12_1_2 * k12_6 - x1_3_2 * x12_2_2 
	* k12_6 - x1_4_2 * x12_3_2 * k12_6 - x1_2_3 * x12_1_3 * k12_6 - x1_3_3 * 
	x12_2_3 * k12_6 - x1_4_3 * x12_3_3 * k12_6 - x1_2_1 * x13_1_1 * k13_6 - x1_3_1 
	* x13_2_1 * k13_6 - x1_4_1 * x13_3_1 * k13_6 - x1_2_2 * x13_1_2 * k13_6 - 
	x1_3_2 * x13_2_2 * k13_6 - x1_4_2 * x13_3_2 * k13_6 - x1_2_3 * x13_1_3 * k13_6 
	- x1_3_3 * x13_2_3 * k13_6 - x1_4_3 * x13_3_3 * k13_6 - 0.5*x1_2_1 * x14_1_1 * 
	k14_6 - 0.5*x1_3_1 * x14_2_1 * k14_6 - 0.5*x1_4_1 * x14_3_1 * k14_6 - 
	0.5*x1_2_2 * x14_1_2 * k14_6 - 0.5*x1_3_2 * x14_2_2 * k14_6 - 0.5*x1_4_2 * 
	x14_3_2 * k14_6 - 0.5*x1_2_3 * x14_1_3 * k14_6 - 0.5*x1_3_3 * x14_2_3 * k14_6 - 
	0.5*x1_4_3 * x14_3_3 * k14_6 + k1_1 - 1.2*x1_1_1 - 1.2*x1_1_2 - 1.2*x1_1_3 = 0;
subject to plac2:
	-0.5*x2_2_1 * x1_1_1 * k1_6 - 0.5*x2_3_1 * x1_2_1 * k1_6 - 0.5*x2_4_1 * x1_3_1 
	* k1_6 - 0.5*x2_2_2 * x1_1_2 * k1_6 - 0.5*x2_3_2 * x1_2_2 * k1_6 - 0.5*x2_4_2 * 
	x1_3_2 * k1_6 - 0.5*x2_2_3 * x1_1_3 * k1_6 - 0.5*x2_3_3 * x1_2_3 * k1_6 - 
	0.5*x2_4_3 * x1_3_3 * k1_6 - x2_2_1 * x2_1_1 * k2_6 - x2_3_1 * x2_2_1 * k2_6 - 
	x2_4_1 * x2_3_1 * k2_6 - x2_2_2 * x2_1_2 * k2_6 - x2_3_2 * x2_2_2 * k2_6 - 
	x2_4_2 * x2_3_2 * k2_6 - x2_2_3 * x2_1_3 * k2_6 - x2_3_3 * x2_2_3 * k2_6 - 
	x2_4_3 * x2_3_3 * k2_6 - x2_2_1 * x3_1_1 * k3_6 - x2_3_1 * x3_2_1 * k3_6 - 
	x2_4_1 * x3_3_1 * k3_6 - x2_2_2 * x3_1_2 * k3_6 - x2_3_2 * x3_2_2 * k3_6 - 
	x2_4_2 * x3_3_2 * k3_6 - x2_2_3 * x3_1_3 * k3_6 - x2_3_3 * x3_2_3 * k3_6 - 
	x2_4_3 * x3_3_3 * k3_6 - x2_2_1 * x4_1_1 * k4_6 - x2_3_1 * x4_2_1 * k4_6 - 
	x2_4_1 * x4_3_1 * k4_6 - x2_2_2 * x4_1_2 * k4_6 - x2_3_2 * x4_2_2 * k4_6 - 
	x2_4_2 * x4_3_2 * k4_6 - x2_2_3 * x4_1_3 * k4_6 - x2_3_3 * x4_2_3 * k4_6 - 
	x2_4_3 * x4_3_3 * k4_6 - x2_2_1 * x5_1_1 * k5_6 - x2_3_1 * x5_2_1 * k5_6 - 
	x2_4_1 * x5_3_1 * k5_6 - x2_2_2 * x5_1_2 * k5_6 - x2_3_2 * x5_2_2 * k5_6 - 
	x2_4_2 * x5_3_2 * k5_6 - x2_2_3 * x5_1_3 * k5_6 - x2_3_3 * x5_2_3 * k5_6 - 
	x2_4_3 * x5_3_3 * k5_6 - x2_2_1 * x6_1_1 * k6_6 - x2_3_1 * x6_2_1 * k6_6 - 
	x2_4_1 * x6_3_1 * k6_6 - x2_2_2 * x6_1_2 * k6_6 - x2_3_2 * x6_2_2 * k6_6 - 
	x2_4_2 * x6_3_2 * k6_6 - x2_2_3 * x6_1_3 * k6_6 - x2_3_3 * x6_2_3 * k6_6 - 
	x2_4_3 * x6_3_3 * k6_6 - 0.5*x2_2_1 * x7_1_1 * k7_6 - 0.5*x2_3_1 * x7_2_1 * 
	k7_6 - 0.5*x2_4_1 * x7_3_1 * k7_6 - 0.5*x2_2_2 * x7_1_2 * k7_6 - 0.5*x2_3_2 * 
	x7_2_2 * k7_6 - 0.5*x2_4_2 * x7_3_2 * k7_6 - 0.5*x2_2_3 * x7_1_3 * k7_6 - 
	0.5*x2_3_3 * x7_2_3 * k7_6 - 0.5*x2_4_3 * x7_3_3 * k7_6 - x2_2_1 * x8_1_1 * 
	k8_6 - x2_3_1 * x8_2_1 * k8_6 - x2_4_1 * x8_3_1 * k8_6 - x2_2_2 * x8_1_2 * k8_6 
	- x2_3_2 * x8_2_2 * k8_6 - x2_4_2 * x8_3_2 * k8_6 - x2_2_3 * x8_1_3 * k8_6 - 
	x2_3_3 * x8_2_3 * k8_6 - x2_4_3 * x8_3_3 * k8_6 - x2_2_1 * x9_1_1 * k9_6 - 
	x2_3_1 * x9_2_1 * k9_6 - x2_4_1 * x9_3_1 * k9_6 - x2_2_2 * x9_1_2 * k9_6 - 
	x2_3_2 * x9_2_2 * k9_6 - x2_4_2 * x9_3_2 * k9_6 - x2_2_3 * x9_1_3 * k9_6 - 
	x2_3_3 * x9_2_3 * k9_6 - x2_4_3 * x9_3_3 * k9_6 - x2_2_1 * x10_1_1 * k10_6 - 
	x2_3_1 * x10_2_1 * k10_6 - x2_4_1 * x10_3_1 * k10_6 - x2_2_2 * x10_1_2 * k10_6 
	- x2_3_2 * x10_2_2 * k10_6 - x2_4_2 * x10_3_2 * k10_6 - x2_2_3 * x10_1_3 * 
	k10_6 - x2_3_3 * x10_2_3 * k10_6 - x2_4_3 * x10_3_3 * k10_6 - 0.5*x2_2_1 * 
	x11_1_1 * k11_6 - 0.5*x2_3_1 * x11_2_1 * k11_6 - 0.5*x2_4_1 * x11_3_1 * k11_6 - 
	0.5*x2_2_2 * x11_1_2 * k11_6 - 0.5*x2_3_2 * x11_2_2 * k11_6 - 0.5*x2_4_2 * 
	x11_3_2 * k11_6 - 0.5*x2_2_3 * x11_1_3 * k11_6 - 0.5*x2_3_3 * x11_2_3 * k11_6 - 
	0.5*x2_4_3 * x11_3_3 * k11_6 - x2_2_1 * x12_1_1 * k12_6 - x2_3_1 * x12_2_1 * 
	k12_6 - x2_4_1 * x12_3_1 * k12_6 - x2_2_2 * x12_1_2 * k12_6 - x2_3_2 * x12_2_2 
	* k12_6 - x2_4_2 * x12_3_2 * k12_6 - x2_2_3 * x12_1_3 * k12_6 - x2_3_3 * 
	x12_2_3 * k12_6 - x2_4_3 * x12_3_3 * k12_6 - x2_2_1 * x13_1_1 * k13_6 - x2_3_1 
	* x13_2_1 * k13_6 - x2_4_1 * x13_3_1 * k13_6 - x2_2_2 * x13_1_2 * k13_6 - 
	x2_3_2 * x13_2_2 * k13_6 - x2_4_2 * x13_3_2 * k13_6 - x2_2_3 * x13_1_3 * k13_6 
	- x2_3_3 * x13_2_3 * k13_6 - x2_4_3 * x13_3_3 * k13_6 - 0.5*x2_2_1 * x14_1_1 * 
	k14_6 - 0.5*x2_3_1 * x14_2_1 * k14_6 - 0.5*x2_4_1 * x14_3_1 * k14_6 - 
	0.5*x2_2_2 * x14_1_2 * k14_6 - 0.5*x2_3_2 * x14_2_2 * k14_6 - 0.5*x2_4_2 * 
	x14_3_2 * k14_6 - 0.5*x2_2_3 * x14_1_3 * k14_6 - 0.5*x2_3_3 * x14_2_3 * k14_6 - 
	0.5*x2_4_3 * x14_3_3 * k14_6 + k2_1 - 1.2*x2_1_1 - 1.2*x2_1_2 - 1.2*x2_1_3 = 0;
subject to plac3:
	-0.5*x3_2_1 * x1_1_1 * k1_6 - 0.5*x3_3_1 * x1_2_1 * k1_6 - 0.5*x3_4_1 * x1_3_1 
	* k1_6 - 0.5*x3_2_2 * x1_1_2 * k1_6 - 0.5*x3_3_2 * x1_2_2 * k1_6 - 0.5*x3_4_2 * 
	x1_3_2 * k1_6 - 0.5*x3_2_3 * x1_1_3 * k1_6 - 0.5*x3_3_3 * x1_2_3 * k1_6 - 
	0.5*x3_4_3 * x1_3_3 * k1_6 - x3_2_1 * x2_1_1 * k2_6 - x3_3_1 * x2_2_1 * k2_6 - 
	x3_4_1 * x2_3_1 * k2_6 - x3_2_2 * x2_1_2 * k2_6 - x3_3_2 * x2_2_2 * k2_6 - 
	x3_4_2 * x2_3_2 * k2_6 - x3_2_3 * x2_1_3 * k2_6 - x3_3_3 * x2_2_3 * k2_6 - 
	x3_4_3 * x2_3_3 * k2_6 - x3_2_1 * x3_1_1 * k3_6 - x3_3_1 * x3_2_1 * k3_6 - 
	x3_4_1 * x3_3_1 * k3_6 - x3_2_2 * x3_1_2 * k3_6 - x3_3_2 * x3_2_2 * k3_6 - 
	x3_4_2 * x3_3_2 * k3_6 - x3_2_3 * x3_1_3 * k3_6 - x3_3_3 * x3_2_3 * k3_6 - 
	x3_4_3 * x3_3_3 * k3_6 - x3_2_1 * x4_1_1 * k4_6 - x3_3_1 * x4_2_1 * k4_6 - 
	x3_4_1 * x4_3_1 * k4_6 - x3_2_2 * x4_1_2 * k4_6 - x3_3_2 * x4_2_2 * k4_6 - 
	x3_4_2 * x4_3_2 * k4_6 - x3_2_3 * x4_1_3 * k4_6 - x3_3_3 * x4_2_3 * k4_6 - 
	x3_4_3 * x4_3_3 * k4_6 - x3_2_1 * x5_1_1 * k5_6 - x3_3_1 * x5_2_1 * k5_6 - 
	x3_4_1 * x5_3_1 * k5_6 - x3_2_2 * x5_1_2 * k5_6 - x3_3_2 * x5_2_2 * k5_6 - 
	x3_4_2 * x5_3_2 * k5_6 - x3_2_3 * x5_1_3 * k5_6 - x3_3_3 * x5_2_3 * k5_6 - 
	x3_4_3 * x5_3_3 * k5_6 - x3_2_1 * x6_1_1 * k6_6 - x3_3_1 * x6_2_1 * k6_6 - 
	x3_4_1 * x6_3_1 * k6_6 - x3_2_2 * x6_1_2 * k6_6 - x3_3_2 * x6_2_2 * k6_6 - 
	x3_4_2 * x6_3_2 * k6_6 - x3_2_3 * x6_1_3 * k6_6 - x3_3_3 * x6_2_3 * k6_6 - 
	x3_4_3 * x6_3_3 * k6_6 - 0.5*x3_2_1 * x7_1_1 * k7_6 - 0.5*x3_3_1 * x7_2_1 * 
	k7_6 - 0.5*x3_4_1 * x7_3_1 * k7_6 - 0.5*x3_2_2 * x7_1_2 * k7_6 - 0.5*x3_3_2 * 
	x7_2_2 * k7_6 - 0.5*x3_4_2 * x7_3_2 * k7_6 - 0.5*x3_2_3 * x7_1_3 * k7_6 - 
	0.5*x3_3_3 * x7_2_3 * k7_6 - 0.5*x3_4_3 * x7_3_3 * k7_6 - x3_2_1 * x8_1_1 * 
	k8_6 - x3_3_1 * x8_2_1 * k8_6 - x3_4_1 * x8_3_1 * k8_6 - x3_2_2 * x8_1_2 * k8_6 
	- x3_3_2 * x8_2_2 * k8_6 - x3_4_2 * x8_3_2 * k8_6 - x3_2_3 * x8_1_3 * k8_6 - 
	x3_3_3 * x8_2_3 * k8_6 - x3_4_3 * x8_3_3 * k8_6 - x3_2_1 * x9_1_1 * k9_6 - 
	x3_3_1 * x9_2_1 * k9_6 - x3_4_1 * x9_3_1 * k9_6 - x3_2_2 * x9_1_2 * k9_6 - 
	x3_3_2 * x9_2_2 * k9_6 - x3_4_2 * x9_3_2 * k9_6 - x3_2_3 * x9_1_3 * k9_6 - 
	x3_3_3 * x9_2_3 * k9_6 - x3_4_3 * x9_3_3 * k9_6 - x3_2_1 * x10_1_1 * k10_6 - 
	x3_3_1 * x10_2_1 * k10_6 - x3_4_1 * x10_3_1 * k10_6 - x3_2_2 * x10_1_2 * k10_6 
	- x3_3_2 * x10_2_2 * k10_6 - x3_4_2 * x10_3_2 * k10_6 - x3_2_3 * x10_1_3 * 
	k10_6 - x3_3_3 * x10_2_3 * k10_6 - x3_4_3 * x10_3_3 * k10_6 - 0.5*x3_2_1 * 
	x11_1_1 * k11_6 - 0.5*x3_3_1 * x11_2_1 * k11_6 - 0.5*x3_4_1 * x11_3_1 * k11_6 - 
	0.5*x3_2_2 * x11_1_2 * k11_6 - 0.5*x3_3_2 * x11_2_2 * k11_6 - 0.5*x3_4_2 * 
	x11_3_2 * k11_6 - 0.5*x3_2_3 * x11_1_3 * k11_6 - 0.5*x3_3_3 * x11_2_3 * k11_6 - 
	0.5*x3_4_3 * x11_3_3 * k11_6 - x3_2_1 * x12_1_1 * k12_6 - x3_3_1 * x12_2_1 * 
	k12_6 - x3_4_1 * x12_3_1 * k12_6 - x3_2_2 * x12_1_2 * k12_6 - x3_3_2 * x12_2_2 
	* k12_6 - x3_4_2 * x12_3_2 * k12_6 - x3_2_3 * x12_1_3 * k12_6 - x3_3_3 * 
	x12_2_3 * k12_6 - x3_4_3 * x12_3_3 * k12_6 - x3_2_1 * x13_1_1 * k13_6 - x3_3_1 
	* x13_2_1 * k13_6 - x3_4_1 * x13_3_1 * k13_6 - x3_2_2 * x13_1_2 * k13_6 - 
	x3_3_2 * x13_2_2 * k13_6 - x3_4_2 * x13_3_2 * k13_6 - x3_2_3 * x13_1_3 * k13_6 
	- x3_3_3 * x13_2_3 * k13_6 - x3_4_3 * x13_3_3 * k13_6 - 0.5*x3_2_1 * x14_1_1 * 
	k14_6 - 0.5*x3_3_1 * x14_2_1 * k14_6 - 0.5*x3_4_1 * x14_3_1 * k14_6 - 
	0.5*x3_2_2 * x14_1_2 * k14_6 - 0.5*x3_3_2 * x14_2_2 * k14_6 - 0.5*x3_4_2 * 
	x14_3_2 * k14_6 - 0.5*x3_2_3 * x14_1_3 * k14_6 - 0.5*x3_3_3 * x14_2_3 * k14_6 - 
	0.5*x3_4_3 * x14_3_3 * k14_6 + k3_1 - 1.2*x3_1_1 - 1.2*x3_1_2 - 1.2*x3_1_3 = 0;
subject to plac4:
	-0.5*x4_2_1 * x1_1_1 * k1_6 - 0.5*x4_3_1 * x1_2_1 * k1_6 - 0.5*x4_4_1 * x1_3_1 
	* k1_6 - 0.5*x4_2_2 * x1_1_2 * k1_6 - 0.5*x4_3_2 * x1_2_2 * k1_6 - 0.5*x4_4_2 * 
	x1_3_2 * k1_6 - 0.5*x4_2_3 * x1_1_3 * k1_6 - 0.5*x4_3_3 * x1_2_3 * k1_6 - 
	0.5*x4_4_3 * x1_3_3 * k1_6 - x4_2_1 * x2_1_1 * k2_6 - x4_3_1 * x2_2_1 * k2_6 - 
	x4_4_1 * x2_3_1 * k2_6 - x4_2_2 * x2_1_2 * k2_6 - x4_3_2 * x2_2_2 * k2_6 - 
	x4_4_2 * x2_3_2 * k2_6 - x4_2_3 * x2_1_3 * k2_6 - x4_3_3 * x2_2_3 * k2_6 - 
	x4_4_3 * x2_3_3 * k2_6 - x4_2_1 * x3_1_1 * k3_6 - x4_3_1 * x3_2_1 * k3_6 - 
	x4_4_1 * x3_3_1 * k3_6 - x4_2_2 * x3_1_2 * k3_6 - x4_3_2 * x3_2_2 * k3_6 - 
	x4_4_2 * x3_3_2 * k3_6 - x4_2_3 * x3_1_3 * k3_6 - x4_3_3 * x3_2_3 * k3_6 - 
	x4_4_3 * x3_3_3 * k3_6 - x4_2_1 * x4_1_1 * k4_6 - x4_3_1 * x4_2_1 * k4_6 - 
	x4_4_1 * x4_3_1 * k4_6 - x4_2_2 * x4_1_2 * k4_6 - x4_3_2 * x4_2_2 * k4_6 - 
	x4_4_2 * x4_3_2 * k4_6 - x4_2_3 * x4_1_3 * k4_6 - x4_3_3 * x4_2_3 * k4_6 - 
	x4_4_3 * x4_3_3 * k4_6 - x4_2_1 * x5_1_1 * k5_6 - x4_3_1 * x5_2_1 * k5_6 - 
	x4_4_1 * x5_3_1 * k5_6 - x4_2_2 * x5_1_2 * k5_6 - x4_3_2 * x5_2_2 * k5_6 - 
	x4_4_2 * x5_3_2 * k5_6 - x4_2_3 * x5_1_3 * k5_6 - x4_3_3 * x5_2_3 * k5_6 - 
	x4_4_3 * x5_3_3 * k5_6 - x4_2_1 * x6_1_1 * k6_6 - x4_3_1 * x6_2_1 * k6_6 - 
	x4_4_1 * x6_3_1 * k6_6 - x4_2_2 * x6_1_2 * k6_6 - x4_3_2 * x6_2_2 * k6_6 - 
	x4_4_2 * x6_3_2 * k6_6 - x4_2_3 * x6_1_3 * k6_6 - x4_3_3 * x6_2_3 * k6_6 - 
	x4_4_3 * x6_3_3 * k6_6 - 0.5*x4_2_1 * x7_1_1 * k7_6 - 0.5*x4_3_1 * x7_2_1 * 
	k7_6 - 0.5*x4_4_1 * x7_3_1 * k7_6 - 0.5*x4_2_2 * x7_1_2 * k7_6 - 0.5*x4_3_2 * 
	x7_2_2 * k7_6 - 0.5*x4_4_2 * x7_3_2 * k7_6 - 0.5*x4_2_3 * x7_1_3 * k7_6 - 
	0.5*x4_3_3 * x7_2_3 * k7_6 - 0.5*x4_4_3 * x7_3_3 * k7_6 - x4_2_1 * x8_1_1 * 
	k8_6 - x4_3_1 * x8_2_1 * k8_6 - x4_4_1 * x8_3_1 * k8_6 - x4_2_2 * x8_1_2 * k8_6 
	- x4_3_2 * x8_2_2 * k8_6 - x4_4_2 * x8_3_2 * k8_6 - x4_2_3 * x8_1_3 * k8_6 - 
	x4_3_3 * x8_2_3 * k8_6 - x4_4_3 * x8_3_3 * k8_6 - x4_2_1 * x9_1_1 * k9_6 - 
	x4_3_1 * x9_2_1 * k9_6 - x4_4_1 * x9_3_1 * k9_6 - x4_2_2 * x9_1_2 * k9_6 - 
	x4_3_2 * x9_2_2 * k9_6 - x4_4_2 * x9_3_2 * k9_6 - x4_2_3 * x9_1_3 * k9_6 - 
	x4_3_3 * x9_2_3 * k9_6 - x4_4_3 * x9_3_3 * k9_6 - x4_2_1 * x10_1_1 * k10_6 - 
	x4_3_1 * x10_2_1 * k10_6 - x4_4_1 * x10_3_1 * k10_6 - x4_2_2 * x10_1_2 * k10_6 
	- x4_3_2 * x10_2_2 * k10_6 - x4_4_2 * x10_3_2 * k10_6 - x4_2_3 * x10_1_3 * 
	k10_6 - x4_3_3 * x10_2_3 * k10_6 - x4_4_3 * x10_3_3 * k10_6 - 0.5*x4_2_1 * 
	x11_1_1 * k11_6 - 0.5*x4_3_1 * x11_2_1 * k11_6 - 0.5*x4_4_1 * x11_3_1 * k11_6 - 
	0.5*x4_2_2 * x11_1_2 * k11_6 - 0.5*x4_3_2 * x11_2_2 * k11_6 - 0.5*x4_4_2 * 
	x11_3_2 * k11_6 - 0.5*x4_2_3 * x11_1_3 * k11_6 - 0.5*x4_3_3 * x11_2_3 * k11_6 - 
	0.5*x4_4_3 * x11_3_3 * k11_6 - x4_2_1 * x12_1_1 * k12_6 - x4_3_1 * x12_2_1 * 
	k12_6 - x4_4_1 * x12_3_1 * k12_6 - x4_2_2 * x12_1_2 * k12_6 - x4_3_2 * x12_2_2 
	* k12_6 - x4_4_2 * x12_3_2 * k12_6 - x4_2_3 * x12_1_3 * k12_6 - x4_3_3 * 
	x12_2_3 * k12_6 - x4_4_3 * x12_3_3 * k12_6 - x4_2_1 * x13_1_1 * k13_6 - x4_3_1 
	* x13_2_1 * k13_6 - x4_4_1 * x13_3_1 * k13_6 - x4_2_2 * x13_1_2 * k13_6 - 
	x4_3_2 * x13_2_2 * k13_6 - x4_4_2 * x13_3_2 * k13_6 - x4_2_3 * x13_1_3 * k13_6 
	- x4_3_3 * x13_2_3 * k13_6 - x4_4_3 * x13_3_3 * k13_6 - 0.5*x4_2_1 * x14_1_1 * 
	k14_6 - 0.5*x4_3_1 * x14_2_1 * k14_6 - 0.5*x4_4_1 * x14_3_1 * k14_6 - 
	0.5*x4_2_2 * x14_1_2 * k14_6 - 0.5*x4_3_2 * x14_2_2 * k14_6 - 0.5*x4_4_2 * 
	x14_3_2 * k14_6 - 0.5*x4_2_3 * x14_1_3 * k14_6 - 0.5*x4_3_3 * x14_2_3 * k14_6 - 
	0.5*x4_4_3 * x14_3_3 * k14_6 + k4_1 - 1.2*x4_1_1 - 1.2*x4_1_2 - 1.2*x4_1_3 = 0;
subject to plac5:
	-0.5*x5_2_1 * x1_1_1 * k1_6 - 0.5*x5_3_1 * x1_2_1 * k1_6 - 0.5*x5_4_1 * x1_3_1 
	* k1_6 - 0.5*x5_2_2 * x1_1_2 * k1_6 - 0.5*x5_3_2 * x1_2_2 * k1_6 - 0.5*x5_4_2 * 
	x1_3_2 * k1_6 - 0.5*x5_2_3 * x1_1_3 * k1_6 - 0.5*x5_3_3 * x1_2_3 * k1_6 - 
	0.5*x5_4_3 * x1_3_3 * k1_6 - x5_2_1 * x2_1_1 * k2_6 - x5_3_1 * x2_2_1 * k2_6 - 
	x5_4_1 * x2_3_1 * k2_6 - x5_2_2 * x2_1_2 * k2_6 - x5_3_2 * x2_2_2 * k2_6 - 
	x5_4_2 * x2_3_2 * k2_6 - x5_2_3 * x2_1_3 * k2_6 - x5_3_3 * x2_2_3 * k2_6 - 
	x5_4_3 * x2_3_3 * k2_6 - x5_2_1 * x3_1_1 * k3_6 - x5_3_1 * x3_2_1 * k3_6 - 
	x5_4_1 * x3_3_1 * k3_6 - x5_2_2 * x3_1_2 * k3_6 - x5_3_2 * x3_2_2 * k3_6 - 
	x5_4_2 * x3_3_2 * k3_6 - x5_2_3 * x3_1_3 * k3_6 - x5_3_3 * x3_2_3 * k3_6 - 
	x5_4_3 * x3_3_3 * k3_6 - x5_2_1 * x4_1_1 * k4_6 - x5_3_1 * x4_2_1 * k4_6 - 
	x5_4_1 * x4_3_1 * k4_6 - x5_2_2 * x4_1_2 * k4_6 - x5_3_2 * x4_2_2 * k4_6 - 
	x5_4_2 * x4_3_2 * k4_6 - x5_2_3 * x4_1_3 * k4_6 - x5_3_3 * x4_2_3 * k4_6 - 
	x5_4_3 * x4_3_3 * k4_6 - x5_2_1 * x5_1_1 * k5_6 - x5_3_1 * x5_2_1 * k5_6 - 
	x5_4_1 * x5_3_1 * k5_6 - x5_2_2 * x5_1_2 * k5_6 - x5_3_2 * x5_2_2 * k5_6 - 
	x5_4_2 * x5_3_2 * k5_6 - x5_2_3 * x5_1_3 * k5_6 - x5_3_3 * x5_2_3 * k5_6 - 
	x5_4_3 * x5_3_3 * k5_6 - x5_2_1 * x6_1_1 * k6_6 - x5_3_1 * x6_2_1 * k6_6 - 
	x5_4_1 * x6_3_1 * k6_6 - x5_2_2 * x6_1_2 * k6_6 - x5_3_2 * x6_2_2 * k6_6 - 
	x5_4_2 * x6_3_2 * k6_6 - x5_2_3 * x6_1_3 * k6_6 - x5_3_3 * x6_2_3 * k6_6 - 
	x5_4_3 * x6_3_3 * k6_6 - 0.5*x5_2_1 * x7_1_1 * k7_6 - 0.5*x5_3_1 * x7_2_1 * 
	k7_6 - 0.5*x5_4_1 * x7_3_1 * k7_6 - 0.5*x5_2_2 * x7_1_2 * k7_6 - 0.5*x5_3_2 * 
	x7_2_2 * k7_6 - 0.5*x5_4_2 * x7_3_2 * k7_6 - 0.5*x5_2_3 * x7_1_3 * k7_6 - 
	0.5*x5_3_3 * x7_2_3 * k7_6 - 0.5*x5_4_3 * x7_3_3 * k7_6 - x5_2_1 * x8_1_1 * 
	k8_6 - x5_3_1 * x8_2_1 * k8_6 - x5_4_1 * x8_3_1 * k8_6 - x5_2_2 * x8_1_2 * k8_6 
	- x5_3_2 * x8_2_2 * k8_6 - x5_4_2 * x8_3_2 * k8_6 - x5_2_3 * x8_1_3 * k8_6 - 
	x5_3_3 * x8_2_3 * k8_6 - x5_4_3 * x8_3_3 * k8_6 - x5_2_1 * x9_1_1 * k9_6 - 
	x5_3_1 * x9_2_1 * k9_6 - x5_4_1 * x9_3_1 * k9_6 - x5_2_2 * x9_1_2 * k9_6 - 
	x5_3_2 * x9_2_2 * k9_6 - x5_4_2 * x9_3_2 * k9_6 - x5_2_3 * x9_1_3 * k9_6 - 
	x5_3_3 * x9_2_3 * k9_6 - x5_4_3 * x9_3_3 * k9_6 - x5_2_1 * x10_1_1 * k10_6 - 
	x5_3_1 * x10_2_1 * k10_6 - x5_4_1 * x10_3_1 * k10_6 - x5_2_2 * x10_1_2 * k10_6 
	- x5_3_2 * x10_2_2 * k10_6 - x5_4_2 * x10_3_2 * k10_6 - x5_2_3 * x10_1_3 * 
	k10_6 - x5_3_3 * x10_2_3 * k10_6 - x5_4_3 * x10_3_3 * k10_6 - 0.5*x5_2_1 * 
	x11_1_1 * k11_6 - 0.5*x5_3_1 * x11_2_1 * k11_6 - 0.5*x5_4_1 * x11_3_1 * k11_6 - 
	0.5*x5_2_2 * x11_1_2 * k11_6 - 0.5*x5_3_2 * x11_2_2 * k11_6 - 0.5*x5_4_2 * 
	x11_3_2 * k11_6 - 0.5*x5_2_3 * x11_1_3 * k11_6 - 0.5*x5_3_3 * x11_2_3 * k11_6 - 
	0.5*x5_4_3 * x11_3_3 * k11_6 - x5_2_1 * x12_1_1 * k12_6 - x5_3_1 * x12_2_1 * 
	k12_6 - x5_4_1 * x12_3_1 * k12_6 - x5_2_2 * x12_1_2 * k12_6 - x5_3_2 * x12_2_2 
	* k12_6 - x5_4_2 * x12_3_2 * k12_6 - x5_2_3 * x12_1_3 * k12_6 - x5_3_3 * 
	x12_2_3 * k12_6 - x5_4_3 * x12_3_3 * k12_6 - x5_2_1 * x13_1_1 * k13_6 - x5_3_1 
	* x13_2_1 * k13_6 - x5_4_1 * x13_3_1 * k13_6 - x5_2_2 * x13_1_2 * k13_6 - 
	x5_3_2 * x13_2_2 * k13_6 - x5_4_2 * x13_3_2 * k13_6 - x5_2_3 * x13_1_3 * k13_6 
	- x5_3_3 * x13_2_3 * k13_6 - x5_4_3 * x13_3_3 * k13_6 - 0.5*x5_2_1 * x14_1_1 * 
	k14_6 - 0.5*x5_3_1 * x14_2_1 * k14_6 - 0.5*x5_4_1 * x14_3_1 * k14_6 - 
	0.5*x5_2_2 * x14_1_2 * k14_6 - 0.5*x5_3_2 * x14_2_2 * k14_6 - 0.5*x5_4_2 * 
	x14_3_2 * k14_6 - 0.5*x5_2_3 * x14_1_3 * k14_6 - 0.5*x5_3_3 * x14_2_3 * k14_6 - 
	0.5*x5_4_3 * x14_3_3 * k14_6 + k5_1 - 1.2*x5_1_1 - 1.2*x5_1_2 - 1.2*x5_1_3 = 0;
subject to plac6:
	-0.5*x6_2_1 * x1_1_1 * k1_6 - 0.5*x6_3_1 * x1_2_1 * k1_6 - 0.5*x6_4_1 * x1_3_1 
	* k1_6 - 0.5*x6_2_2 * x1_1_2 * k1_6 - 0.5*x6_3_2 * x1_2_2 * k1_6 - 0.5*x6_4_2 * 
	x1_3_2 * k1_6 - 0.5*x6_2_3 * x1_1_3 * k1_6 - 0.5*x6_3_3 * x1_2_3 * k1_6 - 
	0.5*x6_4_3 * x1_3_3 * k1_6 - x6_2_1 * x2_1_1 * k2_6 - x6_3_1 * x2_2_1 * k2_6 - 
	x6_4_1 * x2_3_1 * k2_6 - x6_2_2 * x2_1_2 * k2_6 - x6_3_2 * x2_2_2 * k2_6 - 
	x6_4_2 * x2_3_2 * k2_6 - x6_2_3 * x2_1_3 * k2_6 - x6_3_3 * x2_2_3 * k2_6 - 
	x6_4_3 * x2_3_3 * k2_6 - x6_2_1 * x3_1_1 * k3_6 - x6_3_1 * x3_2_1 * k3_6 - 
	x6_4_1 * x3_3_1 * k3_6 - x6_2_2 * x3_1_2 * k3_6 - x6_3_2 * x3_2_2 * k3_6 - 
	x6_4_2 * x3_3_2 * k3_6 - x6_2_3 * x3_1_3 * k3_6 - x6_3_3 * x3_2_3 * k3_6 - 
	x6_4_3 * x3_3_3 * k3_6 - x6_2_1 * x4_1_1 * k4_6 - x6_3_1 * x4_2_1 * k4_6 - 
	x6_4_1 * x4_3_1 * k4_6 - x6_2_2 * x4_1_2 * k4_6 - x6_3_2 * x4_2_2 * k4_6 - 
	x6_4_2 * x4_3_2 * k4_6 - x6_2_3 * x4_1_3 * k4_6 - x6_3_3 * x4_2_3 * k4_6 - 
	x6_4_3 * x4_3_3 * k4_6 - x6_2_1 * x5_1_1 * k5_6 - x6_3_1 * x5_2_1 * k5_6 - 
	x6_4_1 * x5_3_1 * k5_6 - x6_2_2 * x5_1_2 * k5_6 - x6_3_2 * x5_2_2 * k5_6 - 
	x6_4_2 * x5_3_2 * k5_6 - x6_2_3 * x5_1_3 * k5_6 - x6_3_3 * x5_2_3 * k5_6 - 
	x6_4_3 * x5_3_3 * k5_6 - x6_2_1 * x6_1_1 * k6_6 - x6_3_1 * x6_2_1 * k6_6 - 
	x6_4_1 * x6_3_1 * k6_6 - x6_2_2 * x6_1_2 * k6_6 - x6_3_2 * x6_2_2 * k6_6 - 
	x6_4_2 * x6_3_2 * k6_6 - x6_2_3 * x6_1_3 * k6_6 - x6_3_3 * x6_2_3 * k6_6 - 
	x6_4_3 * x6_3_3 * k6_6 - 0.5*x6_2_1 * x7_1_1 * k7_6 - 0.5*x6_3_1 * x7_2_1 * 
	k7_6 - 0.5*x6_4_1 * x7_3_1 * k7_6 - 0.5*x6_2_2 * x7_1_2 * k7_6 - 0.5*x6_3_2 * 
	x7_2_2 * k7_6 - 0.5*x6_4_2 * x7_3_2 * k7_6 - 0.5*x6_2_3 * x7_1_3 * k7_6 - 
	0.5*x6_3_3 * x7_2_3 * k7_6 - 0.5*x6_4_3 * x7_3_3 * k7_6 - x6_2_1 * x8_1_1 * 
	k8_6 - x6_3_1 * x8_2_1 * k8_6 - x6_4_1 * x8_3_1 * k8_6 - x6_2_2 * x8_1_2 * k8_6 
	- x6_3_2 * x8_2_2 * k8_6 - x6_4_2 * x8_3_2 * k8_6 - x6_2_3 * x8_1_3 * k8_6 - 
	x6_3_3 * x8_2_3 * k8_6 - x6_4_3 * x8_3_3 * k8_6 - x6_2_1 * x9_1_1 * k9_6 - 
	x6_3_1 * x9_2_1 * k9_6 - x6_4_1 * x9_3_1 * k9_6 - x6_2_2 * x9_1_2 * k9_6 - 
	x6_3_2 * x9_2_2 * k9_6 - x6_4_2 * x9_3_2 * k9_6 - x6_2_3 * x9_1_3 * k9_6 - 
	x6_3_3 * x9_2_3 * k9_6 - x6_4_3 * x9_3_3 * k9_6 - x6_2_1 * x10_1_1 * k10_6 - 
	x6_3_1 * x10_2_1 * k10_6 - x6_4_1 * x10_3_1 * k10_6 - x6_2_2 * x10_1_2 * k10_6 
	- x6_3_2 * x10_2_2 * k10_6 - x6_4_2 * x10_3_2 * k10_6 - x6_2_3 * x10_1_3 * 
	k10_6 - x6_3_3 * x10_2_3 * k10_6 - x6_4_3 * x10_3_3 * k10_6 - 0.5*x6_2_1 * 
	x11_1_1 * k11_6 - 0.5*x6_3_1 * x11_2_1 * k11_6 - 0.5*x6_4_1 * x11_3_1 * k11_6 - 
	0.5*x6_2_2 * x11_1_2 * k11_6 - 0.5*x6_3_2 * x11_2_2 * k11_6 - 0.5*x6_4_2 * 
	x11_3_2 * k11_6 - 0.5*x6_2_3 * x11_1_3 * k11_6 - 0.5*x6_3_3 * x11_2_3 * k11_6 - 
	0.5*x6_4_3 * x11_3_3 * k11_6 - x6_2_1 * x12_1_1 * k12_6 - x6_3_1 * x12_2_1 * 
	k12_6 - x6_4_1 * x12_3_1 * k12_6 - x6_2_2 * x12_1_2 * k12_6 - x6_3_2 * x12_2_2 
	* k12_6 - x6_4_2 * x12_3_2 * k12_6 - x6_2_3 * x12_1_3 * k12_6 - x6_3_3 * 
	x12_2_3 * k12_6 - x6_4_3 * x12_3_3 * k12_6 - x6_2_1 * x13_1_1 * k13_6 - x6_3_1 
	* x13_2_1 * k13_6 - x6_4_1 * x13_3_1 * k13_6 - x6_2_2 * x13_1_2 * k13_6 - 
	x6_3_2 * x13_2_2 * k13_6 - x6_4_2 * x13_3_2 * k13_6 - x6_2_3 * x13_1_3 * k13_6 
	- x6_3_3 * x13_2_3 * k13_6 - x6_4_3 * x13_3_3 * k13_6 - 0.5*x6_2_1 * x14_1_1 * 
	k14_6 - 0.5*x6_3_1 * x14_2_1 * k14_6 - 0.5*x6_4_1 * x14_3_1 * k14_6 - 
	0.5*x6_2_2 * x14_1_2 * k14_6 - 0.5*x6_3_2 * x14_2_2 * k14_6 - 0.5*x6_4_2 * 
	x14_3_2 * k14_6 - 0.5*x6_2_3 * x14_1_3 * k14_6 - 0.5*x6_3_3 * x14_2_3 * k14_6 - 
	0.5*x6_4_3 * x14_3_3 * k14_6 + k6_1 - 1.2*x6_1_1 - 1.2*x6_1_2 - 1.2*x6_1_3 = 0;
subject to plac7:
	-0.5*x7_2_1 * x1_1_1 * k1_6 - 0.5*x7_3_1 * x1_2_1 * k1_6 - 0.5*x7_4_1 * x1_3_1 
	* k1_6 - 0.5*x7_2_2 * x1_1_2 * k1_6 - 0.5*x7_3_2 * x1_2_2 * k1_6 - 0.5*x7_4_2 * 
	x1_3_2 * k1_6 - 0.5*x7_2_3 * x1_1_3 * k1_6 - 0.5*x7_3_3 * x1_2_3 * k1_6 - 
	0.5*x7_4_3 * x1_3_3 * k1_6 - x7_2_1 * x2_1_1 * k2_6 - x7_3_1 * x2_2_1 * k2_6 - 
	x7_4_1 * x2_3_1 * k2_6 - x7_2_2 * x2_1_2 * k2_6 - x7_3_2 * x2_2_2 * k2_6 - 
	x7_4_2 * x2_3_2 * k2_6 - x7_2_3 * x2_1_3 * k2_6 - x7_3_3 * x2_2_3 * k2_6 - 
	x7_4_3 * x2_3_3 * k2_6 - x7_2_1 * x3_1_1 * k3_6 - x7_3_1 * x3_2_1 * k3_6 - 
	x7_4_1 * x3_3_1 * k3_6 - x7_2_2 * x3_1_2 * k3_6 - x7_3_2 * x3_2_2 * k3_6 - 
	x7_4_2 * x3_3_2 * k3_6 - x7_2_3 * x3_1_3 * k3_6 - x7_3_3 * x3_2_3 * k3_6 - 
	x7_4_3 * x3_3_3 * k3_6 - x7_2_1 * x4_1_1 * k4_6 - x7_3_1 * x4_2_1 * k4_6 - 
	x7_4_1 * x4_3_1 * k4_6 - x7_2_2 * x4_1_2 * k4_6 - x7_3_2 * x4_2_2 * k4_6 - 
	x7_4_2 * x4_3_2 * k4_6 - x7_2_3 * x4_1_3 * k4_6 - x7_3_3 * x4_2_3 * k4_6 - 
	x7_4_3 * x4_3_3 * k4_6 - x7_2_1 * x5_1_1 * k5_6 - x7_3_1 * x5_2_1 * k5_6 - 
	x7_4_1 * x5_3_1 * k5_6 - x7_2_2 * x5_1_2 * k5_6 - x7_3_2 * x5_2_2 * k5_6 - 
	x7_4_2 * x5_3_2 * k5_6 - x7_2_3 * x5_1_3 * k5_6 - x7_3_3 * x5_2_3 * k5_6 - 
	x7_4_3 * x5_3_3 * k5_6 - x7_2_1 * x6_1_1 * k6_6 - x7_3_1 * x6_2_1 * k6_6 - 
	x7_4_1 * x6_3_1 * k6_6 - x7_2_2 * x6_1_2 * k6_6 - x7_3_2 * x6_2_2 * k6_6 - 
	x7_4_2 * x6_3_2 * k6_6 - x7_2_3 * x6_1_3 * k6_6 - x7_3_3 * x6_2_3 * k6_6 - 
	x7_4_3 * x6_3_3 * k6_6 - 0.5*x7_2_1 * x7_1_1 * k7_6 - 0.5*x7_3_1 * x7_2_1 * 
	k7_6 - 0.5*x7_4_1 * x7_3_1 * k7_6 - 0.5*x7_2_2 * x7_1_2 * k7_6 - 0.5*x7_3_2 * 
	x7_2_2 * k7_6 - 0.5*x7_4_2 * x7_3_2 * k7_6 - 0.5*x7_2_3 * x7_1_3 * k7_6 - 
	0.5*x7_3_3 * x7_2_3 * k7_6 - 0.5*x7_4_3 * x7_3_3 * k7_6 - x7_2_1 * x8_1_1 * 
	k8_6 - x7_3_1 * x8_2_1 * k8_6 - x7_4_1 * x8_3_1 * k8_6 - x7_2_2 * x8_1_2 * k8_6 
	- x7_3_2 * x8_2_2 * k8_6 - x7_4_2 * x8_3_2 * k8_6 - x7_2_3 * x8_1_3 * k8_6 - 
	x7_3_3 * x8_2_3 * k8_6 - x7_4_3 * x8_3_3 * k8_6 - x7_2_1 * x9_1_1 * k9_6 - 
	x7_3_1 * x9_2_1 * k9_6 - x7_4_1 * x9_3_1 * k9_6 - x7_2_2 * x9_1_2 * k9_6 - 
	x7_3_2 * x9_2_2 * k9_6 - x7_4_2 * x9_3_2 * k9_6 - x7_2_3 * x9_1_3 * k9_6 - 
	x7_3_3 * x9_2_3 * k9_6 - x7_4_3 * x9_3_3 * k9_6 - x7_2_1 * x10_1_1 * k10_6 - 
	x7_3_1 * x10_2_1 * k10_6 - x7_4_1 * x10_3_1 * k10_6 - x7_2_2 * x10_1_2 * k10_6 
	- x7_3_2 * x10_2_2 * k10_6 - x7_4_2 * x10_3_2 * k10_6 - x7_2_3 * x10_1_3 * 
	k10_6 - x7_3_3 * x10_2_3 * k10_6 - x7_4_3 * x10_3_3 * k10_6 - 0.5*x7_2_1 * 
	x11_1_1 * k11_6 - 0.5*x7_3_1 * x11_2_1 * k11_6 - 0.5*x7_4_1 * x11_3_1 * k11_6 - 
	0.5*x7_2_2 * x11_1_2 * k11_6 - 0.5*x7_3_2 * x11_2_2 * k11_6 - 0.5*x7_4_2 * 
	x11_3_2 * k11_6 - 0.5*x7_2_3 * x11_1_3 * k11_6 - 0.5*x7_3_3 * x11_2_3 * k11_6 - 
	0.5*x7_4_3 * x11_3_3 * k11_6 - x7_2_1 * x12_1_1 * k12_6 - x7_3_1 * x12_2_1 * 
	k12_6 - x7_4_1 * x12_3_1 * k12_6 - x7_2_2 * x12_1_2 * k12_6 - x7_3_2 * x12_2_2 
	* k12_6 - x7_4_2 * x12_3_2 * k12_6 - x7_2_3 * x12_1_3 * k12_6 - x7_3_3 * 
	x12_2_3 * k12_6 - x7_4_3 * x12_3_3 * k12_6 - x7_2_1 * x13_1_1 * k13_6 - x7_3_1 
	* x13_2_1 * k13_6 - x7_4_1 * x13_3_1 * k13_6 - x7_2_2 * x13_1_2 * k13_6 - 
	x7_3_2 * x13_2_2 * k13_6 - x7_4_2 * x13_3_2 * k13_6 - x7_2_3 * x13_1_3 * k13_6 
	- x7_3_3 * x13_2_3 * k13_6 - x7_4_3 * x13_3_3 * k13_6 - 0.5*x7_2_1 * x14_1_1 * 
	k14_6 - 0.5*x7_3_1 * x14_2_1 * k14_6 - 0.5*x7_4_1 * x14_3_1 * k14_6 - 
	0.5*x7_2_2 * x14_1_2 * k14_6 - 0.5*x7_3_2 * x14_2_2 * k14_6 - 0.5*x7_4_2 * 
	x14_3_2 * k14_6 - 0.5*x7_2_3 * x14_1_3 * k14_6 - 0.5*x7_3_3 * x14_2_3 * k14_6 - 
	0.5*x7_4_3 * x14_3_3 * k14_6 + k7_1 - 1.2*x7_1_1 - 1.2*x7_1_2 - 1.2*x7_1_3 = 0;
subject to plac8:
	-0.5*x8_2_1 * x1_1_1 * k1_6 - 0.5*x8_3_1 * x1_2_1 * k1_6 - 0.5*x8_4_1 * x1_3_1 
	* k1_6 - 0.5*x8_2_2 * x1_1_2 * k1_6 - 0.5*x8_3_2 * x1_2_2 * k1_6 - 0.5*x8_4_2 * 
	x1_3_2 * k1_6 - 0.5*x8_2_3 * x1_1_3 * k1_6 - 0.5*x8_3_3 * x1_2_3 * k1_6 - 
	0.5*x8_4_3 * x1_3_3 * k1_6 - x8_2_1 * x2_1_1 * k2_6 - x8_3_1 * x2_2_1 * k2_6 - 
	x8_4_1 * x2_3_1 * k2_6 - x8_2_2 * x2_1_2 * k2_6 - x8_3_2 * x2_2_2 * k2_6 - 
	x8_4_2 * x2_3_2 * k2_6 - x8_2_3 * x2_1_3 * k2_6 - x8_3_3 * x2_2_3 * k2_6 - 
	x8_4_3 * x2_3_3 * k2_6 - x8_2_1 * x3_1_1 * k3_6 - x8_3_1 * x3_2_1 * k3_6 - 
	x8_4_1 * x3_3_1 * k3_6 - x8_2_2 * x3_1_2 * k3_6 - x8_3_2 * x3_2_2 * k3_6 - 
	x8_4_2 * x3_3_2 * k3_6 - x8_2_3 * x3_1_3 * k3_6 - x8_3_3 * x3_2_3 * k3_6 - 
	x8_4_3 * x3_3_3 * k3_6 - x8_2_1 * x4_1_1 * k4_6 - x8_3_1 * x4_2_1 * k4_6 - 
	x8_4_1 * x4_3_1 * k4_6 - x8_2_2 * x4_1_2 * k4_6 - x8_3_2 * x4_2_2 * k4_6 - 
	x8_4_2 * x4_3_2 * k4_6 - x8_2_3 * x4_1_3 * k4_6 - x8_3_3 * x4_2_3 * k4_6 - 
	x8_4_3 * x4_3_3 * k4_6 - x8_2_1 * x5_1_1 * k5_6 - x8_3_1 * x5_2_1 * k5_6 - 
	x8_4_1 * x5_3_1 * k5_6 - x8_2_2 * x5_1_2 * k5_6 - x8_3_2 * x5_2_2 * k5_6 - 
	x8_4_2 * x5_3_2 * k5_6 - x8_2_3 * x5_1_3 * k5_6 - x8_3_3 * x5_2_3 * k5_6 - 
	x8_4_3 * x5_3_3 * k5_6 - x8_2_1 * x6_1_1 * k6_6 - x8_3_1 * x6_2_1 * k6_6 - 
	x8_4_1 * x6_3_1 * k6_6 - x8_2_2 * x6_1_2 * k6_6 - x8_3_2 * x6_2_2 * k6_6 - 
	x8_4_2 * x6_3_2 * k6_6 - x8_2_3 * x6_1_3 * k6_6 - x8_3_3 * x6_2_3 * k6_6 - 
	x8_4_3 * x6_3_3 * k6_6 - 0.5*x8_2_1 * x7_1_1 * k7_6 - 0.5*x8_3_1 * x7_2_1 * 
	k7_6 - 0.5*x8_4_1 * x7_3_1 * k7_6 - 0.5*x8_2_2 * x7_1_2 * k7_6 - 0.5*x8_3_2 * 
	x7_2_2 * k7_6 - 0.5*x8_4_2 * x7_3_2 * k7_6 - 0.5*x8_2_3 * x7_1_3 * k7_6 - 
	0.5*x8_3_3 * x7_2_3 * k7_6 - 0.5*x8_4_3 * x7_3_3 * k7_6 - x8_2_1 * x8_1_1 * 
	k8_6 - x8_3_1 * x8_2_1 * k8_6 - x8_4_1 * x8_3_1 * k8_6 - x8_2_2 * x8_1_2 * k8_6 
	- x8_3_2 * x8_2_2 * k8_6 - x8_4_2 * x8_3_2 * k8_6 - x8_2_3 * x8_1_3 * k8_6 - 
	x8_3_3 * x8_2_3 * k8_6 - x8_4_3 * x8_3_3 * k8_6 - x8_2_1 * x9_1_1 * k9_6 - 
	x8_3_1 * x9_2_1 * k9_6 - x8_4_1 * x9_3_1 * k9_6 - x8_2_2 * x9_1_2 * k9_6 - 
	x8_3_2 * x9_2_2 * k9_6 - x8_4_2 * x9_3_2 * k9_6 - x8_2_3 * x9_1_3 * k9_6 - 
	x8_3_3 * x9_2_3 * k9_6 - x8_4_3 * x9_3_3 * k9_6 - x8_2_1 * x10_1_1 * k10_6 - 
	x8_3_1 * x10_2_1 * k10_6 - x8_4_1 * x10_3_1 * k10_6 - x8_2_2 * x10_1_2 * k10_6 
	- x8_3_2 * x10_2_2 * k10_6 - x8_4_2 * x10_3_2 * k10_6 - x8_2_3 * x10_1_3 * 
	k10_6 - x8_3_3 * x10_2_3 * k10_6 - x8_4_3 * x10_3_3 * k10_6 - 0.5*x8_2_1 * 
	x11_1_1 * k11_6 - 0.5*x8_3_1 * x11_2_1 * k11_6 - 0.5*x8_4_1 * x11_3_1 * k11_6 - 
	0.5*x8_2_2 * x11_1_2 * k11_6 - 0.5*x8_3_2 * x11_2_2 * k11_6 - 0.5*x8_4_2 * 
	x11_3_2 * k11_6 - 0.5*x8_2_3 * x11_1_3 * k11_6 - 0.5*x8_3_3 * x11_2_3 * k11_6 - 
	0.5*x8_4_3 * x11_3_3 * k11_6 - x8_2_1 * x12_1_1 * k12_6 - x8_3_1 * x12_2_1 * 
	k12_6 - x8_4_1 * x12_3_1 * k12_6 - x8_2_2 * x12_1_2 * k12_6 - x8_3_2 * x12_2_2 
	* k12_6 - x8_4_2 * x12_3_2 * k12_6 - x8_2_3 * x12_1_3 * k12_6 - x8_3_3 * 
	x12_2_3 * k12_6 - x8_4_3 * x12_3_3 * k12_6 - x8_2_1 * x13_1_1 * k13_6 - x8_3_1 
	* x13_2_1 * k13_6 - x8_4_1 * x13_3_1 * k13_6 - x8_2_2 * x13_1_2 * k13_6 - 
	x8_3_2 * x13_2_2 * k13_6 - x8_4_2 * x13_3_2 * k13_6 - x8_2_3 * x13_1_3 * k13_6 
	- x8_3_3 * x13_2_3 * k13_6 - x8_4_3 * x13_3_3 * k13_6 - 0.5*x8_2_1 * x14_1_1 * 
	k14_6 - 0.5*x8_3_1 * x14_2_1 * k14_6 - 0.5*x8_4_1 * x14_3_1 * k14_6 - 
	0.5*x8_2_2 * x14_1_2 * k14_6 - 0.5*x8_3_2 * x14_2_2 * k14_6 - 0.5*x8_4_2 * 
	x14_3_2 * k14_6 - 0.5*x8_2_3 * x14_1_3 * k14_6 - 0.5*x8_3_3 * x14_2_3 * k14_6 - 
	0.5*x8_4_3 * x14_3_3 * k14_6 + k8_1 - 1.2*x8_1_1 - 1.2*x8_1_2 - 1.2*x8_1_3 = 0;
subject to plac9:
	-0.5*x9_2_1 * x1_1_1 * k1_6 - 0.5*x9_3_1 * x1_2_1 * k1_6 - 0.5*x9_4_1 * x1_3_1 
	* k1_6 - 0.5*x9_2_2 * x1_1_2 * k1_6 - 0.5*x9_3_2 * x1_2_2 * k1_6 - 0.5*x9_4_2 * 
	x1_3_2 * k1_6 - 0.5*x9_2_3 * x1_1_3 * k1_6 - 0.5*x9_3_3 * x1_2_3 * k1_6 - 
	0.5*x9_4_3 * x1_3_3 * k1_6 - x9_2_1 * x2_1_1 * k2_6 - x9_3_1 * x2_2_1 * k2_6 - 
	x9_4_1 * x2_3_1 * k2_6 - x9_2_2 * x2_1_2 * k2_6 - x9_3_2 * x2_2_2 * k2_6 - 
	x9_4_2 * x2_3_2 * k2_6 - x9_2_3 * x2_1_3 * k2_6 - x9_3_3 * x2_2_3 * k2_6 - 
	x9_4_3 * x2_3_3 * k2_6 - x9_2_1 * x3_1_1 * k3_6 - x9_3_1 * x3_2_1 * k3_6 - 
	x9_4_1 * x3_3_1 * k3_6 - x9_2_2 * x3_1_2 * k3_6 - x9_3_2 * x3_2_2 * k3_6 - 
	x9_4_2 * x3_3_2 * k3_6 - x9_2_3 * x3_1_3 * k3_6 - x9_3_3 * x3_2_3 * k3_6 - 
	x9_4_3 * x3_3_3 * k3_6 - x9_2_1 * x4_1_1 * k4_6 - x9_3_1 * x4_2_1 * k4_6 - 
	x9_4_1 * x4_3_1 * k4_6 - x9_2_2 * x4_1_2 * k4_6 - x9_3_2 * x4_2_2 * k4_6 - 
	x9_4_2 * x4_3_2 * k4_6 - x9_2_3 * x4_1_3 * k4_6 - x9_3_3 * x4_2_3 * k4_6 - 
	x9_4_3 * x4_3_3 * k4_6 - x9_2_1 * x5_1_1 * k5_6 - x9_3_1 * x5_2_1 * k5_6 - 
	x9_4_1 * x5_3_1 * k5_6 - x9_2_2 * x5_1_2 * k5_6 - x9_3_2 * x5_2_2 * k5_6 - 
	x9_4_2 * x5_3_2 * k5_6 - x9_2_3 * x5_1_3 * k5_6 - x9_3_3 * x5_2_3 * k5_6 - 
	x9_4_3 * x5_3_3 * k5_6 - x9_2_1 * x6_1_1 * k6_6 - x9_3_1 * x6_2_1 * k6_6 - 
	x9_4_1 * x6_3_1 * k6_6 - x9_2_2 * x6_1_2 * k6_6 - x9_3_2 * x6_2_2 * k6_6 - 
	x9_4_2 * x6_3_2 * k6_6 - x9_2_3 * x6_1_3 * k6_6 - x9_3_3 * x6_2_3 * k6_6 - 
	x9_4_3 * x6_3_3 * k6_6 - 0.5*x9_2_1 * x7_1_1 * k7_6 - 0.5*x9_3_1 * x7_2_1 * 
	k7_6 - 0.5*x9_4_1 * x7_3_1 * k7_6 - 0.5*x9_2_2 * x7_1_2 * k7_6 - 0.5*x9_3_2 * 
	x7_2_2 * k7_6 - 0.5*x9_4_2 * x7_3_2 * k7_6 - 0.5*x9_2_3 * x7_1_3 * k7_6 - 
	0.5*x9_3_3 * x7_2_3 * k7_6 - 0.5*x9_4_3 * x7_3_3 * k7_6 - x9_2_1 * x8_1_1 * 
	k8_6 - x9_3_1 * x8_2_1 * k8_6 - x9_4_1 * x8_3_1 * k8_6 - x9_2_2 * x8_1_2 * k8_6 
	- x9_3_2 * x8_2_2 * k8_6 - x9_4_2 * x8_3_2 * k8_6 - x9_2_3 * x8_1_3 * k8_6 - 
	x9_3_3 * x8_2_3 * k8_6 - x9_4_3 * x8_3_3 * k8_6 - x9_2_1 * x9_1_1 * k9_6 - 
	x9_3_1 * x9_2_1 * k9_6 - x9_4_1 * x9_3_1 * k9_6 - x9_2_2 * x9_1_2 * k9_6 - 
	x9_3_2 * x9_2_2 * k9_6 - x9_4_2 * x9_3_2 * k9_6 - x9_2_3 * x9_1_3 * k9_6 - 
	x9_3_3 * x9_2_3 * k9_6 - x9_4_3 * x9_3_3 * k9_6 - x9_2_1 * x10_1_1 * k10_6 - 
	x9_3_1 * x10_2_1 * k10_6 - x9_4_1 * x10_3_1 * k10_6 - x9_2_2 * x10_1_2 * k10_6 
	- x9_3_2 * x10_2_2 * k10_6 - x9_4_2 * x10_3_2 * k10_6 - x9_2_3 * x10_1_3 * 
	k10_6 - x9_3_3 * x10_2_3 * k10_6 - x9_4_3 * x10_3_3 * k10_6 - 0.5*x9_2_1 * 
	x11_1_1 * k11_6 - 0.5*x9_3_1 * x11_2_1 * k11_6 - 0.5*x9_4_1 * x11_3_1 * k11_6 - 
	0.5*x9_2_2 * x11_1_2 * k11_6 - 0.5*x9_3_2 * x11_2_2 * k11_6 - 0.5*x9_4_2 * 
	x11_3_2 * k11_6 - 0.5*x9_2_3 * x11_1_3 * k11_6 - 0.5*x9_3_3 * x11_2_3 * k11_6 - 
	0.5*x9_4_3 * x11_3_3 * k11_6 - x9_2_1 * x12_1_1 * k12_6 - x9_3_1 * x12_2_1 * 
	k12_6 - x9_4_1 * x12_3_1 * k12_6 - x9_2_2 * x12_1_2 * k12_6 - x9_3_2 * x12_2_2 
	* k12_6 - x9_4_2 * x12_3_2 * k12_6 - x9_2_3 * x12_1_3 * k12_6 - x9_3_3 * 
	x12_2_3 * k12_6 - x9_4_3 * x12_3_3 * k12_6 - x9_2_1 * x13_1_1 * k13_6 - x9_3_1 
	* x13_2_1 * k13_6 - x9_4_1 * x13_3_1 * k13_6 - x9_2_2 * x13_1_2 * k13_6 - 
	x9_3_2 * x13_2_2 * k13_6 - x9_4_2 * x13_3_2 * k13_6 - x9_2_3 * x13_1_3 * k13_6 
	- x9_3_3 * x13_2_3 * k13_6 - x9_4_3 * x13_3_3 * k13_6 - 0.5*x9_2_1 * x14_1_1 * 
	k14_6 - 0.5*x9_3_1 * x14_2_1 * k14_6 - 0.5*x9_4_1 * x14_3_1 * k14_6 - 
	0.5*x9_2_2 * x14_1_2 * k14_6 - 0.5*x9_3_2 * x14_2_2 * k14_6 - 0.5*x9_4_2 * 
	x14_3_2 * k14_6 - 0.5*x9_2_3 * x14_1_3 * k14_6 - 0.5*x9_3_3 * x14_2_3 * k14_6 - 
	0.5*x9_4_3 * x14_3_3 * k14_6 + k9_1 - 1.2*x9_1_1 - 1.2*x9_1_2 - 1.2*x9_1_3 = 0;
subject to plac10:
	-0.5*x10_2_1 * x1_1_1 * k1_6 - 0.5*x10_3_1 * x1_2_1 * k1_6 - 0.5*x10_4_1 * 
	x1_3_1 * k1_6 - 0.5*x10_2_2 * x1_1_2 * k1_6 - 0.5*x10_3_2 * x1_2_2 * k1_6 - 
	0.5*x10_4_2 * x1_3_2 * k1_6 - 0.5*x10_2_3 * x1_1_3 * k1_6 - 0.5*x10_3_3 * 
	x1_2_3 * k1_6 - 0.5*x10_4_3 * x1_3_3 * k1_6 - x10_2_1 * x2_1_1 * k2_6 - x10_3_1 
	* x2_2_1 * k2_6 - x10_4_1 * x2_3_1 * k2_6 - x10_2_2 * x2_1_2 * k2_6 - x10_3_2 * 
	x2_2_2 * k2_6 - x10_4_2 * x2_3_2 * k2_6 - x10_2_3 * x2_1_3 * k2_6 - x10_3_3 * 
	x2_2_3 * k2_6 - x10_4_3 * x2_3_3 * k2_6 - x10_2_1 * x3_1_1 * k3_6 - x10_3_1 * 
	x3_2_1 * k3_6 - x10_4_1 * x3_3_1 * k3_6 - x10_2_2 * x3_1_2 * k3_6 - x10_3_2 * 
	x3_2_2 * k3_6 - x10_4_2 * x3_3_2 * k3_6 - x10_2_3 * x3_1_3 * k3_6 - x10_3_3 * 
	x3_2_3 * k3_6 - x10_4_3 * x3_3_3 * k3_6 - x10_2_1 * x4_1_1 * k4_6 - x10_3_1 * 
	x4_2_1 * k4_6 - x10_4_1 * x4_3_1 * k4_6 - x10_2_2 * x4_1_2 * k4_6 - x10_3_2 * 
	x4_2_2 * k4_6 - x10_4_2 * x4_3_2 * k4_6 - x10_2_3 * x4_1_3 * k4_6 - x10_3_3 * 
	x4_2_3 * k4_6 - x10_4_3 * x4_3_3 * k4_6 - x10_2_1 * x5_1_1 * k5_6 - x10_3_1 * 
	x5_2_1 * k5_6 - x10_4_1 * x5_3_1 * k5_6 - x10_2_2 * x5_1_2 * k5_6 - x10_3_2 * 
	x5_2_2 * k5_6 - x10_4_2 * x5_3_2 * k5_6 - x10_2_3 * x5_1_3 * k5_6 - x10_3_3 * 
	x5_2_3 * k5_6 - x10_4_3 * x5_3_3 * k5_6 - x10_2_1 * x6_1_1 * k6_6 - x10_3_1 * 
	x6_2_1 * k6_6 - x10_4_1 * x6_3_1 * k6_6 - x10_2_2 * x6_1_2 * k6_6 - x10_3_2 * 
	x6_2_2 * k6_6 - x10_4_2 * x6_3_2 * k6_6 - x10_2_3 * x6_1_3 * k6_6 - x10_3_3 * 
	x6_2_3 * k6_6 - x10_4_3 * x6_3_3 * k6_6 - 0.5*x10_2_1 * x7_1_1 * k7_6 - 
	0.5*x10_3_1 * x7_2_1 * k7_6 - 0.5*x10_4_1 * x7_3_1 * k7_6 - 0.5*x10_2_2 * 
	x7_1_2 * k7_6 - 0.5*x10_3_2 * x7_2_2 * k7_6 - 0.5*x10_4_2 * x7_3_2 * k7_6 - 
	0.5*x10_2_3 * x7_1_3 * k7_6 - 0.5*x10_3_3 * x7_2_3 * k7_6 - 0.5*x10_4_3 * 
	x7_3_3 * k7_6 - x10_2_1 * x8_1_1 * k8_6 - x10_3_1 * x8_2_1 * k8_6 - x10_4_1 * 
	x8_3_1 * k8_6 - x10_2_2 * x8_1_2 * k8_6 - x10_3_2 * x8_2_2 * k8_6 - x10_4_2 * 
	x8_3_2 * k8_6 - x10_2_3 * x8_1_3 * k8_6 - x10_3_3 * x8_2_3 * k8_6 - x10_4_3 * 
	x8_3_3 * k8_6 - x10_2_1 * x9_1_1 * k9_6 - x10_3_1 * x9_2_1 * k9_6 - x10_4_1 * 
	x9_3_1 * k9_6 - x10_2_2 * x9_1_2 * k9_6 - x10_3_2 * x9_2_2 * k9_6 - x10_4_2 * 
	x9_3_2 * k9_6 - x10_2_3 * x9_1_3 * k9_6 - x10_3_3 * x9_2_3 * k9_6 - x10_4_3 * 
	x9_3_3 * k9_6 - x10_2_1 * x10_1_1 * k10_6 - x10_3_1 * x10_2_1 * k10_6 - x10_4_1 
	* x10_3_1 * k10_6 - x10_2_2 * x10_1_2 * k10_6 - x10_3_2 * x10_2_2 * k10_6 - 
	x10_4_2 * x10_3_2 * k10_6 - x10_2_3 * x10_1_3 * k10_6 - x10_3_3 * x10_2_3 * 
	k10_6 - x10_4_3 * x10_3_3 * k10_6 - 0.5*x10_2_1 * x11_1_1 * k11_6 - 0.5*x10_3_1 
	* x11_2_1 * k11_6 - 0.5*x10_4_1 * x11_3_1 * k11_6 - 0.5*x10_2_2 * x11_1_2 * 
	k11_6 - 0.5*x10_3_2 * x11_2_2 * k11_6 - 0.5*x10_4_2 * x11_3_2 * k11_6 - 
	0.5*x10_2_3 * x11_1_3 * k11_6 - 0.5*x10_3_3 * x11_2_3 * k11_6 - 0.5*x10_4_3 * 
	x11_3_3 * k11_6 - x10_2_1 * x12_1_1 * k12_6 - x10_3_1 * x12_2_1 * k12_6 - 
	x10_4_1 * x12_3_1 * k12_6 - x10_2_2 * x12_1_2 * k12_6 - x10_3_2 * x12_2_2 * 
	k12_6 - x10_4_2 * x12_3_2 * k12_6 - x10_2_3 * x12_1_3 * k12_6 - x10_3_3 * 
	x12_2_3 * k12_6 - x10_4_3 * x12_3_3 * k12_6 - x10_2_1 * x13_1_1 * k13_6 - 
	x10_3_1 * x13_2_1 * k13_6 - x10_4_1 * x13_3_1 * k13_6 - x10_2_2 * x13_1_2 * 
	k13_6 - x10_3_2 * x13_2_2 * k13_6 - x10_4_2 * x13_3_2 * k13_6 - x10_2_3 * 
	x13_1_3 * k13_6 - x10_3_3 * x13_2_3 * k13_6 - x10_4_3 * x13_3_3 * k13_6 - 
	0.5*x10_2_1 * x14_1_1 * k14_6 - 0.5*x10_3_1 * x14_2_1 * k14_6 - 0.5*x10_4_1 * 
	x14_3_1 * k14_6 - 0.5*x10_2_2 * x14_1_2 * k14_6 - 0.5*x10_3_2 * x14_2_2 * k14_6 
	- 0.5*x10_4_2 * x14_3_2 * k14_6 - 0.5*x10_2_3 * x14_1_3 * k14_6 - 0.5*x10_3_3 * 
	x14_2_3 * k14_6 - 0.5*x10_4_3 * x14_3_3 * k14_6 + k10_1 - 1.2*x10_1_1 - 
	1.2*x10_1_2 - 1.2*x10_1_3 = 0;
subject to plac11:
	-0.5*x11_2_1 * x1_1_1 * k1_6 - 0.5*x11_3_1 * x1_2_1 * k1_6 - 0.5*x11_4_1 * 
	x1_3_1 * k1_6 - 0.5*x11_2_2 * x1_1_2 * k1_6 - 0.5*x11_3_2 * x1_2_2 * k1_6 - 
	0.5*x11_4_2 * x1_3_2 * k1_6 - 0.5*x11_2_3 * x1_1_3 * k1_6 - 0.5*x11_3_3 * 
	x1_2_3 * k1_6 - 0.5*x11_4_3 * x1_3_3 * k1_6 - x11_2_1 * x2_1_1 * k2_6 - x11_3_1 
	* x2_2_1 * k2_6 - x11_4_1 * x2_3_1 * k2_6 - x11_2_2 * x2_1_2 * k2_6 - x11_3_2 * 
	x2_2_2 * k2_6 - x11_4_2 * x2_3_2 * k2_6 - x11_2_3 * x2_1_3 * k2_6 - x11_3_3 * 
	x2_2_3 * k2_6 - x11_4_3 * x2_3_3 * k2_6 - x11_2_1 * x3_1_1 * k3_6 - x11_3_1 * 
	x3_2_1 * k3_6 - x11_4_1 * x3_3_1 * k3_6 - x11_2_2 * x3_1_2 * k3_6 - x11_3_2 * 
	x3_2_2 * k3_6 - x11_4_2 * x3_3_2 * k3_6 - x11_2_3 * x3_1_3 * k3_6 - x11_3_3 * 
	x3_2_3 * k3_6 - x11_4_3 * x3_3_3 * k3_6 - x11_2_1 * x4_1_1 * k4_6 - x11_3_1 * 
	x4_2_1 * k4_6 - x11_4_1 * x4_3_1 * k4_6 - x11_2_2 * x4_1_2 * k4_6 - x11_3_2 * 
	x4_2_2 * k4_6 - x11_4_2 * x4_3_2 * k4_6 - x11_2_3 * x4_1_3 * k4_6 - x11_3_3 * 
	x4_2_3 * k4_6 - x11_4_3 * x4_3_3 * k4_6 - x11_2_1 * x5_1_1 * k5_6 - x11_3_1 * 
	x5_2_1 * k5_6 - x11_4_1 * x5_3_1 * k5_6 - x11_2_2 * x5_1_2 * k5_6 - x11_3_2 * 
	x5_2_2 * k5_6 - x11_4_2 * x5_3_2 * k5_6 - x11_2_3 * x5_1_3 * k5_6 - x11_3_3 * 
	x5_2_3 * k5_6 - x11_4_3 * x5_3_3 * k5_6 - x11_2_1 * x6_1_1 * k6_6 - x11_3_1 * 
	x6_2_1 * k6_6 - x11_4_1 * x6_3_1 * k6_6 - x11_2_2 * x6_1_2 * k6_6 - x11_3_2 * 
	x6_2_2 * k6_6 - x11_4_2 * x6_3_2 * k6_6 - x11_2_3 * x6_1_3 * k6_6 - x11_3_3 * 
	x6_2_3 * k6_6 - x11_4_3 * x6_3_3 * k6_6 - 0.5*x11_2_1 * x7_1_1 * k7_6 - 
	0.5*x11_3_1 * x7_2_1 * k7_6 - 0.5*x11_4_1 * x7_3_1 * k7_6 - 0.5*x11_2_2 * 
	x7_1_2 * k7_6 - 0.5*x11_3_2 * x7_2_2 * k7_6 - 0.5*x11_4_2 * x7_3_2 * k7_6 - 
	0.5*x11_2_3 * x7_1_3 * k7_6 - 0.5*x11_3_3 * x7_2_3 * k7_6 - 0.5*x11_4_3 * 
	x7_3_3 * k7_6 - x11_2_1 * x8_1_1 * k8_6 - x11_3_1 * x8_2_1 * k8_6 - x11_4_1 * 
	x8_3_1 * k8_6 - x11_2_2 * x8_1_2 * k8_6 - x11_3_2 * x8_2_2 * k8_6 - x11_4_2 * 
	x8_3_2 * k8_6 - x11_2_3 * x8_1_3 * k8_6 - x11_3_3 * x8_2_3 * k8_6 - x11_4_3 * 
	x8_3_3 * k8_6 - x11_2_1 * x9_1_1 * k9_6 - x11_3_1 * x9_2_1 * k9_6 - x11_4_1 * 
	x9_3_1 * k9_6 - x11_2_2 * x9_1_2 * k9_6 - x11_3_2 * x9_2_2 * k9_6 - x11_4_2 * 
	x9_3_2 * k9_6 - x11_2_3 * x9_1_3 * k9_6 - x11_3_3 * x9_2_3 * k9_6 - x11_4_3 * 
	x9_3_3 * k9_6 - x11_2_1 * x10_1_1 * k10_6 - x11_3_1 * x10_2_1 * k10_6 - x11_4_1 
	* x10_3_1 * k10_6 - x11_2_2 * x10_1_2 * k10_6 - x11_3_2 * x10_2_2 * k10_6 - 
	x11_4_2 * x10_3_2 * k10_6 - x11_2_3 * x10_1_3 * k10_6 - x11_3_3 * x10_2_3 * 
	k10_6 - x11_4_3 * x10_3_3 * k10_6 - 0.5*x11_2_1 * x11_1_1 * k11_6 - 0.5*x11_3_1 
	* x11_2_1 * k11_6 - 0.5*x11_4_1 * x11_3_1 * k11_6 - 0.5*x11_2_2 * x11_1_2 * 
	k11_6 - 0.5*x11_3_2 * x11_2_2 * k11_6 - 0.5*x11_4_2 * x11_3_2 * k11_6 - 
	0.5*x11_2_3 * x11_1_3 * k11_6 - 0.5*x11_3_3 * x11_2_3 * k11_6 - 0.5*x11_4_3 * 
	x11_3_3 * k11_6 - x11_2_1 * x12_1_1 * k12_6 - x11_3_1 * x12_2_1 * k12_6 - 
	x11_4_1 * x12_3_1 * k12_6 - x11_2_2 * x12_1_2 * k12_6 - x11_3_2 * x12_2_2 * 
	k12_6 - x11_4_2 * x12_3_2 * k12_6 - x11_2_3 * x12_1_3 * k12_6 - x11_3_3 * 
	x12_2_3 * k12_6 - x11_4_3 * x12_3_3 * k12_6 - x11_2_1 * x13_1_1 * k13_6 - 
	x11_3_1 * x13_2_1 * k13_6 - x11_4_1 * x13_3_1 * k13_6 - x11_2_2 * x13_1_2 * 
	k13_6 - x11_3_2 * x13_2_2 * k13_6 - x11_4_2 * x13_3_2 * k13_6 - x11_2_3 * 
	x13_1_3 * k13_6 - x11_3_3 * x13_2_3 * k13_6 - x11_4_3 * x13_3_3 * k13_6 - 
	0.5*x11_2_1 * x14_1_1 * k14_6 - 0.5*x11_3_1 * x14_2_1 * k14_6 - 0.5*x11_4_1 * 
	x14_3_1 * k14_6 - 0.5*x11_2_2 * x14_1_2 * k14_6 - 0.5*x11_3_2 * x14_2_2 * k14_6 
	- 0.5*x11_4_2 * x14_3_2 * k14_6 - 0.5*x11_2_3 * x14_1_3 * k14_6 - 0.5*x11_3_3 * 
	x14_2_3 * k14_6 - 0.5*x11_4_3 * x14_3_3 * k14_6 + k11_1 - 1.2*x11_1_1 - 
	1.2*x11_1_2 - 1.2*x11_1_3 = 0;
subject to plac12:
	-0.5*x12_2_1 * x1_1_1 * k1_6 - 0.5*x12_3_1 * x1_2_1 * k1_6 - 0.5*x12_4_1 * 
	x1_3_1 * k1_6 - 0.5*x12_2_2 * x1_1_2 * k1_6 - 0.5*x12_3_2 * x1_2_2 * k1_6 - 
	0.5*x12_4_2 * x1_3_2 * k1_6 - 0.5*x12_2_3 * x1_1_3 * k1_6 - 0.5*x12_3_3 * 
	x1_2_3 * k1_6 - 0.5*x12_4_3 * x1_3_3 * k1_6 - x12_2_1 * x2_1_1 * k2_6 - x12_3_1 
	* x2_2_1 * k2_6 - x12_4_1 * x2_3_1 * k2_6 - x12_2_2 * x2_1_2 * k2_6 - x12_3_2 * 
	x2_2_2 * k2_6 - x12_4_2 * x2_3_2 * k2_6 - x12_2_3 * x2_1_3 * k2_6 - x12_3_3 * 
	x2_2_3 * k2_6 - x12_4_3 * x2_3_3 * k2_6 - x12_2_1 * x3_1_1 * k3_6 - x12_3_1 * 
	x3_2_1 * k3_6 - x12_4_1 * x3_3_1 * k3_6 - x12_2_2 * x3_1_2 * k3_6 - x12_3_2 * 
	x3_2_2 * k3_6 - x12_4_2 * x3_3_2 * k3_6 - x12_2_3 * x3_1_3 * k3_6 - x12_3_3 * 
	x3_2_3 * k3_6 - x12_4_3 * x3_3_3 * k3_6 - x12_2_1 * x4_1_1 * k4_6 - x12_3_1 * 
	x4_2_1 * k4_6 - x12_4_1 * x4_3_1 * k4_6 - x12_2_2 * x4_1_2 * k4_6 - x12_3_2 * 
	x4_2_2 * k4_6 - x12_4_2 * x4_3_2 * k4_6 - x12_2_3 * x4_1_3 * k4_6 - x12_3_3 * 
	x4_2_3 * k4_6 - x12_4_3 * x4_3_3 * k4_6 - x12_2_1 * x5_1_1 * k5_6 - x12_3_1 * 
	x5_2_1 * k5_6 - x12_4_1 * x5_3_1 * k5_6 - x12_2_2 * x5_1_2 * k5_6 - x12_3_2 * 
	x5_2_2 * k5_6 - x12_4_2 * x5_3_2 * k5_6 - x12_2_3 * x5_1_3 * k5_6 - x12_3_3 * 
	x5_2_3 * k5_6 - x12_4_3 * x5_3_3 * k5_6 - x12_2_1 * x6_1_1 * k6_6 - x12_3_1 * 
	x6_2_1 * k6_6 - x12_4_1 * x6_3_1 * k6_6 - x12_2_2 * x6_1_2 * k6_6 - x12_3_2 * 
	x6_2_2 * k6_6 - x12_4_2 * x6_3_2 * k6_6 - x12_2_3 * x6_1_3 * k6_6 - x12_3_3 * 
	x6_2_3 * k6_6 - x12_4_3 * x6_3_3 * k6_6 - 0.5*x12_2_1 * x7_1_1 * k7_6 - 
	0.5*x12_3_1 * x7_2_1 * k7_6 - 0.5*x12_4_1 * x7_3_1 * k7_6 - 0.5*x12_2_2 * 
	x7_1_2 * k7_6 - 0.5*x12_3_2 * x7_2_2 * k7_6 - 0.5*x12_4_2 * x7_3_2 * k7_6 - 
	0.5*x12_2_3 * x7_1_3 * k7_6 - 0.5*x12_3_3 * x7_2_3 * k7_6 - 0.5*x12_4_3 * 
	x7_3_3 * k7_6 - x12_2_1 * x8_1_1 * k8_6 - x12_3_1 * x8_2_1 * k8_6 - x12_4_1 * 
	x8_3_1 * k8_6 - x12_2_2 * x8_1_2 * k8_6 - x12_3_2 * x8_2_2 * k8_6 - x12_4_2 * 
	x8_3_2 * k8_6 - x12_2_3 * x8_1_3 * k8_6 - x12_3_3 * x8_2_3 * k8_6 - x12_4_3 * 
	x8_3_3 * k8_6 - x12_2_1 * x9_1_1 * k9_6 - x12_3_1 * x9_2_1 * k9_6 - x12_4_1 * 
	x9_3_1 * k9_6 - x12_2_2 * x9_1_2 * k9_6 - x12_3_2 * x9_2_2 * k9_6 - x12_4_2 * 
	x9_3_2 * k9_6 - x12_2_3 * x9_1_3 * k9_6 - x12_3_3 * x9_2_3 * k9_6 - x12_4_3 * 
	x9_3_3 * k9_6 - x12_2_1 * x10_1_1 * k10_6 - x12_3_1 * x10_2_1 * k10_6 - x12_4_1 
	* x10_3_1 * k10_6 - x12_2_2 * x10_1_2 * k10_6 - x12_3_2 * x10_2_2 * k10_6 - 
	x12_4_2 * x10_3_2 * k10_6 - x12_2_3 * x10_1_3 * k10_6 - x12_3_3 * x10_2_3 * 
	k10_6 - x12_4_3 * x10_3_3 * k10_6 - 0.5*x12_2_1 * x11_1_1 * k11_6 - 0.5*x12_3_1 
	* x11_2_1 * k11_6 - 0.5*x12_4_1 * x11_3_1 * k11_6 - 0.5*x12_2_2 * x11_1_2 * 
	k11_6 - 0.5*x12_3_2 * x11_2_2 * k11_6 - 0.5*x12_4_2 * x11_3_2 * k11_6 - 
	0.5*x12_2_3 * x11_1_3 * k11_6 - 0.5*x12_3_3 * x11_2_3 * k11_6 - 0.5*x12_4_3 * 
	x11_3_3 * k11_6 - x12_2_1 * x12_1_1 * k12_6 - x12_3_1 * x12_2_1 * k12_6 - 
	x12_4_1 * x12_3_1 * k12_6 - x12_2_2 * x12_1_2 * k12_6 - x12_3_2 * x12_2_2 * 
	k12_6 - x12_4_2 * x12_3_2 * k12_6 - x12_2_3 * x12_1_3 * k12_6 - x12_3_3 * 
	x12_2_3 * k12_6 - x12_4_3 * x12_3_3 * k12_6 - x12_2_1 * x13_1_1 * k13_6 - 
	x12_3_1 * x13_2_1 * k13_6 - x12_4_1 * x13_3_1 * k13_6 - x12_2_2 * x13_1_2 * 
	k13_6 - x12_3_2 * x13_2_2 * k13_6 - x12_4_2 * x13_3_2 * k13_6 - x12_2_3 * 
	x13_1_3 * k13_6 - x12_3_3 * x13_2_3 * k13_6 - x12_4_3 * x13_3_3 * k13_6 - 
	0.5*x12_2_1 * x14_1_1 * k14_6 - 0.5*x12_3_1 * x14_2_1 * k14_6 - 0.5*x12_4_1 * 
	x14_3_1 * k14_6 - 0.5*x12_2_2 * x14_1_2 * k14_6 - 0.5*x12_3_2 * x14_2_2 * k14_6 
	- 0.5*x12_4_2 * x14_3_2 * k14_6 - 0.5*x12_2_3 * x14_1_3 * k14_6 - 0.5*x12_3_3 * 
	x14_2_3 * k14_6 - 0.5*x12_4_3 * x14_3_3 * k14_6 + k12_1 - 1.2*x12_1_1 - 
	1.2*x12_1_2 - 1.2*x12_1_3 = 0;
subject to plac13:
	-0.5*x13_2_1 * x1_1_1 * k1_6 - 0.5*x13_3_1 * x1_2_1 * k1_6 - 0.5*x13_4_1 * 
	x1_3_1 * k1_6 - 0.5*x13_2_2 * x1_1_2 * k1_6 - 0.5*x13_3_2 * x1_2_2 * k1_6 - 
	0.5*x13_4_2 * x1_3_2 * k1_6 - 0.5*x13_2_3 * x1_1_3 * k1_6 - 0.5*x13_3_3 * 
	x1_2_3 * k1_6 - 0.5*x13_4_3 * x1_3_3 * k1_6 - x13_2_1 * x2_1_1 * k2_6 - x13_3_1 
	* x2_2_1 * k2_6 - x13_4_1 * x2_3_1 * k2_6 - x13_2_2 * x2_1_2 * k2_6 - x13_3_2 * 
	x2_2_2 * k2_6 - x13_4_2 * x2_3_2 * k2_6 - x13_2_3 * x2_1_3 * k2_6 - x13_3_3 * 
	x2_2_3 * k2_6 - x13_4_3 * x2_3_3 * k2_6 - x13_2_1 * x3_1_1 * k3_6 - x13_3_1 * 
	x3_2_1 * k3_6 - x13_4_1 * x3_3_1 * k3_6 - x13_2_2 * x3_1_2 * k3_6 - x13_3_2 * 
	x3_2_2 * k3_6 - x13_4_2 * x3_3_2 * k3_6 - x13_2_3 * x3_1_3 * k3_6 - x13_3_3 * 
	x3_2_3 * k3_6 - x13_4_3 * x3_3_3 * k3_6 - x13_2_1 * x4_1_1 * k4_6 - x13_3_1 * 
	x4_2_1 * k4_6 - x13_4_1 * x4_3_1 * k4_6 - x13_2_2 * x4_1_2 * k4_6 - x13_3_2 * 
	x4_2_2 * k4_6 - x13_4_2 * x4_3_2 * k4_6 - x13_2_3 * x4_1_3 * k4_6 - x13_3_3 * 
	x4_2_3 * k4_6 - x13_4_3 * x4_3_3 * k4_6 - x13_2_1 * x5_1_1 * k5_6 - x13_3_1 * 
	x5_2_1 * k5_6 - x13_4_1 * x5_3_1 * k5_6 - x13_2_2 * x5_1_2 * k5_6 - x13_3_2 * 
	x5_2_2 * k5_6 - x13_4_2 * x5_3_2 * k5_6 - x13_2_3 * x5_1_3 * k5_6 - x13_3_3 * 
	x5_2_3 * k5_6 - x13_4_3 * x5_3_3 * k5_6 - x13_2_1 * x6_1_1 * k6_6 - x13_3_1 * 
	x6_2_1 * k6_6 - x13_4_1 * x6_3_1 * k6_6 - x13_2_2 * x6_1_2 * k6_6 - x13_3_2 * 
	x6_2_2 * k6_6 - x13_4_2 * x6_3_2 * k6_6 - x13_2_3 * x6_1_3 * k6_6 - x13_3_3 * 
	x6_2_3 * k6_6 - x13_4_3 * x6_3_3 * k6_6 - 0.5*x13_2_1 * x7_1_1 * k7_6 - 
	0.5*x13_3_1 * x7_2_1 * k7_6 - 0.5*x13_4_1 * x7_3_1 * k7_6 - 0.5*x13_2_2 * 
	x7_1_2 * k7_6 - 0.5*x13_3_2 * x7_2_2 * k7_6 - 0.5*x13_4_2 * x7_3_2 * k7_6 - 
	0.5*x13_2_3 * x7_1_3 * k7_6 - 0.5*x13_3_3 * x7_2_3 * k7_6 - 0.5*x13_4_3 * 
	x7_3_3 * k7_6 - x13_2_1 * x8_1_1 * k8_6 - x13_3_1 * x8_2_1 * k8_6 - x13_4_1 * 
	x8_3_1 * k8_6 - x13_2_2 * x8_1_2 * k8_6 - x13_3_2 * x8_2_2 * k8_6 - x13_4_2 * 
	x8_3_2 * k8_6 - x13_2_3 * x8_1_3 * k8_6 - x13_3_3 * x8_2_3 * k8_6 - x13_4_3 * 
	x8_3_3 * k8_6 - x13_2_1 * x9_1_1 * k9_6 - x13_3_1 * x9_2_1 * k9_6 - x13_4_1 * 
	x9_3_1 * k9_6 - x13_2_2 * x9_1_2 * k9_6 - x13_3_2 * x9_2_2 * k9_6 - x13_4_2 * 
	x9_3_2 * k9_6 - x13_2_3 * x9_1_3 * k9_6 - x13_3_3 * x9_2_3 * k9_6 - x13_4_3 * 
	x9_3_3 * k9_6 - x13_2_1 * x10_1_1 * k10_6 - x13_3_1 * x10_2_1 * k10_6 - x13_4_1 
	* x10_3_1 * k10_6 - x13_2_2 * x10_1_2 * k10_6 - x13_3_2 * x10_2_2 * k10_6 - 
	x13_4_2 * x10_3_2 * k10_6 - x13_2_3 * x10_1_3 * k10_6 - x13_3_3 * x10_2_3 * 
	k10_6 - x13_4_3 * x10_3_3 * k10_6 - 0.5*x13_2_1 * x11_1_1 * k11_6 - 0.5*x13_3_1 
	* x11_2_1 * k11_6 - 0.5*x13_4_1 * x11_3_1 * k11_6 - 0.5*x13_2_2 * x11_1_2 * 
	k11_6 - 0.5*x13_3_2 * x11_2_2 * k11_6 - 0.5*x13_4_2 * x11_3_2 * k11_6 - 
	0.5*x13_2_3 * x11_1_3 * k11_6 - 0.5*x13_3_3 * x11_2_3 * k11_6 - 0.5*x13_4_3 * 
	x11_3_3 * k11_6 - x13_2_1 * x12_1_1 * k12_6 - x13_3_1 * x12_2_1 * k12_6 - 
	x13_4_1 * x12_3_1 * k12_6 - x13_2_2 * x12_1_2 * k12_6 - x13_3_2 * x12_2_2 * 
	k12_6 - x13_4_2 * x12_3_2 * k12_6 - x13_2_3 * x12_1_3 * k12_6 - x13_3_3 * 
	x12_2_3 * k12_6 - x13_4_3 * x12_3_3 * k12_6 - x13_2_1 * x13_1_1 * k13_6 - 
	x13_3_1 * x13_2_1 * k13_6 - x13_4_1 * x13_3_1 * k13_6 - x13_2_2 * x13_1_2 * 
	k13_6 - x13_3_2 * x13_2_2 * k13_6 - x13_4_2 * x13_3_2 * k13_6 - x13_2_3 * 
	x13_1_3 * k13_6 - x13_3_3 * x13_2_3 * k13_6 - x13_4_3 * x13_3_3 * k13_6 - 
	0.5*x13_2_1 * x14_1_1 * k14_6 - 0.5*x13_3_1 * x14_2_1 * k14_6 - 0.5*x13_4_1 * 
	x14_3_1 * k14_6 - 0.5*x13_2_2 * x14_1_2 * k14_6 - 0.5*x13_3_2 * x14_2_2 * k14_6 
	- 0.5*x13_4_2 * x14_3_2 * k14_6 - 0.5*x13_2_3 * x14_1_3 * k14_6 - 0.5*x13_3_3 * 
	x14_2_3 * k14_6 - 0.5*x13_4_3 * x14_3_3 * k14_6 + k13_1 - 1.2*x13_1_1 - 
	1.2*x13_1_2 - 1.2*x13_1_3 = 0;
subject to plac14:
	-0.5*x14_2_1 * x1_1_1 * k1_6 - 0.5*x14_3_1 * x1_2_1 * k1_6 - 0.5*x14_4_1 * 
	x1_3_1 * k1_6 - 0.5*x14_2_2 * x1_1_2 * k1_6 - 0.5*x14_3_2 * x1_2_2 * k1_6 - 
	0.5*x14_4_2 * x1_3_2 * k1_6 - 0.5*x14_2_3 * x1_1_3 * k1_6 - 0.5*x14_3_3 * 
	x1_2_3 * k1_6 - 0.5*x14_4_3 * x1_3_3 * k1_6 - x14_2_1 * x2_1_1 * k2_6 - x14_3_1 
	* x2_2_1 * k2_6 - x14_4_1 * x2_3_1 * k2_6 - x14_2_2 * x2_1_2 * k2_6 - x14_3_2 * 
	x2_2_2 * k2_6 - x14_4_2 * x2_3_2 * k2_6 - x14_2_3 * x2_1_3 * k2_6 - x14_3_3 * 
	x2_2_3 * k2_6 - x14_4_3 * x2_3_3 * k2_6 - x14_2_1 * x3_1_1 * k3_6 - x14_3_1 * 
	x3_2_1 * k3_6 - x14_4_1 * x3_3_1 * k3_6 - x14_2_2 * x3_1_2 * k3_6 - x14_3_2 * 
	x3_2_2 * k3_6 - x14_4_2 * x3_3_2 * k3_6 - x14_2_3 * x3_1_3 * k3_6 - x14_3_3 * 
	x3_2_3 * k3_6 - x14_4_3 * x3_3_3 * k3_6 - x14_2_1 * x4_1_1 * k4_6 - x14_3_1 * 
	x4_2_1 * k4_6 - x14_4_1 * x4_3_1 * k4_6 - x14_2_2 * x4_1_2 * k4_6 - x14_3_2 * 
	x4_2_2 * k4_6 - x14_4_2 * x4_3_2 * k4_6 - x14_2_3 * x4_1_3 * k4_6 - x14_3_3 * 
	x4_2_3 * k4_6 - x14_4_3 * x4_3_3 * k4_6 - x14_2_1 * x5_1_1 * k5_6 - x14_3_1 * 
	x5_2_1 * k5_6 - x14_4_1 * x5_3_1 * k5_6 - x14_2_2 * x5_1_2 * k5_6 - x14_3_2 * 
	x5_2_2 * k5_6 - x14_4_2 * x5_3_2 * k5_6 - x14_2_3 * x5_1_3 * k5_6 - x14_3_3 * 
	x5_2_3 * k5_6 - x14_4_3 * x5_3_3 * k5_6 - x14_2_1 * x6_1_1 * k6_6 - x14_3_1 * 
	x6_2_1 * k6_6 - x14_4_1 * x6_3_1 * k6_6 - x14_2_2 * x6_1_2 * k6_6 - x14_3_2 * 
	x6_2_2 * k6_6 - x14_4_2 * x6_3_2 * k6_6 - x14_2_3 * x6_1_3 * k6_6 - x14_3_3 * 
	x6_2_3 * k6_6 - x14_4_3 * x6_3_3 * k6_6 - 0.5*x14_2_1 * x7_1_1 * k7_6 - 
	0.5*x14_3_1 * x7_2_1 * k7_6 - 0.5*x14_4_1 * x7_3_1 * k7_6 - 0.5*x14_2_2 * 
	x7_1_2 * k7_6 - 0.5*x14_3_2 * x7_2_2 * k7_6 - 0.5*x14_4_2 * x7_3_2 * k7_6 - 
	0.5*x14_2_3 * x7_1_3 * k7_6 - 0.5*x14_3_3 * x7_2_3 * k7_6 - 0.5*x14_4_3 * 
	x7_3_3 * k7_6 - x14_2_1 * x8_1_1 * k8_6 - x14_3_1 * x8_2_1 * k8_6 - x14_4_1 * 
	x8_3_1 * k8_6 - x14_2_2 * x8_1_2 * k8_6 - x14_3_2 * x8_2_2 * k8_6 - x14_4_2 * 
	x8_3_2 * k8_6 - x14_2_3 * x8_1_3 * k8_6 - x14_3_3 * x8_2_3 * k8_6 - x14_4_3 * 
	x8_3_3 * k8_6 - x14_2_1 * x9_1_1 * k9_6 - x14_3_1 * x9_2_1 * k9_6 - x14_4_1 * 
	x9_3_1 * k9_6 - x14_2_2 * x9_1_2 * k9_6 - x14_3_2 * x9_2_2 * k9_6 - x14_4_2 * 
	x9_3_2 * k9_6 - x14_2_3 * x9_1_3 * k9_6 - x14_3_3 * x9_2_3 * k9_6 - x14_4_3 * 
	x9_3_3 * k9_6 - x14_2_1 * x10_1_1 * k10_6 - x14_3_1 * x10_2_1 * k10_6 - x14_4_1 
	* x10_3_1 * k10_6 - x14_2_2 * x10_1_2 * k10_6 - x14_3_2 * x10_2_2 * k10_6 - 
	x14_4_2 * x10_3_2 * k10_6 - x14_2_3 * x10_1_3 * k10_6 - x14_3_3 * x10_2_3 * 
	k10_6 - x14_4_3 * x10_3_3 * k10_6 - 0.5*x14_2_1 * x11_1_1 * k11_6 - 0.5*x14_3_1 
	* x11_2_1 * k11_6 - 0.5*x14_4_1 * x11_3_1 * k11_6 - 0.5*x14_2_2 * x11_1_2 * 
	k11_6 - 0.5*x14_3_2 * x11_2_2 * k11_6 - 0.5*x14_4_2 * x11_3_2 * k11_6 - 
	0.5*x14_2_3 * x11_1_3 * k11_6 - 0.5*x14_3_3 * x11_2_3 * k11_6 - 0.5*x14_4_3 * 
	x11_3_3 * k11_6 - x14_2_1 * x12_1_1 * k12_6 - x14_3_1 * x12_2_1 * k12_6 - 
	x14_4_1 * x12_3_1 * k12_6 - x14_2_2 * x12_1_2 * k12_6 - x14_3_2 * x12_2_2 * 
	k12_6 - x14_4_2 * x12_3_2 * k12_6 - x14_2_3 * x12_1_3 * k12_6 - x14_3_3 * 
	x12_2_3 * k12_6 - x14_4_3 * x12_3_3 * k12_6 - x14_2_1 * x13_1_1 * k13_6 - 
	x14_3_1 * x13_2_1 * k13_6 - x14_4_1 * x13_3_1 * k13_6 - x14_2_2 * x13_1_2 * 
	k13_6 - x14_3_2 * x13_2_2 * k13_6 - x14_4_2 * x13_3_2 * k13_6 - x14_2_3 * 
	x13_1_3 * k13_6 - x14_3_3 * x13_2_3 * k13_6 - x14_4_3 * x13_3_3 * k13_6 - 
	0.5*x14_2_1 * x14_1_1 * k14_6 - 0.5*x14_3_1 * x14_2_1 * k14_6 - 0.5*x14_4_1 * 
	x14_3_1 * k14_6 - 0.5*x14_2_2 * x14_1_2 * k14_6 - 0.5*x14_3_2 * x14_2_2 * k14_6 
	- 0.5*x14_4_2 * x14_3_2 * k14_6 - 0.5*x14_2_3 * x14_1_3 * k14_6 - 0.5*x14_3_3 * 
	x14_2_3 * k14_6 - 0.5*x14_4_3 * x14_3_3 * k14_6 + k14_1 - 1.2*x14_1_1 - 
	1.2*x14_1_2 - 1.2*x14_1_3 = 0;
subject to kefford1:
	0 >= keff2 - keff1;
subject to kefford2:
	0 >= keff3 - keff2;
subject to kefford3:
	0 >= keff4 - keff3;
subject to kefford4:
	0 >= keff5 - keff4;
subject to kefford5:
	0 >= keff6 - keff5;
subject to dia1_1_1:
	x1_1_1 - x7_1_1 = 0;
subject to dia1_1_2:
	x1_1_2 - x7_1_2 = 0;
subject to dia1_1_3:
	x1_1_3 - x7_1_3 = 0;
subject to dia1_2_1:
	x1_2_1 - x7_2_1 = 0;
subject to dia1_2_2:
	x1_2_2 - x7_2_2 = 0;
subject to dia1_2_3:
	x1_2_3 - x7_2_3 = 0;
subject to dia1_3_1:
	x1_3_1 - x7_3_1 = 0;
subject to dia1_3_2:
	x1_3_2 - x7_3_2 = 0;
subject to dia1_3_3:
	x1_3_3 - x7_3_3 = 0;
subject to dia1_4_1:
	x1_4_1 - x7_4_1 = 0;
subject to dia1_4_2:
	x1_4_2 - x7_4_2 = 0;
subject to dia1_4_3:
	x1_4_3 - x7_4_3 = 0;
subject to dia2_1_1:
	x11_1_1 - x14_1_1 = 0;
subject to dia2_1_2:
	x11_1_2 - x14_1_2 = 0;
subject to dia2_1_3:
	x11_1_3 - x14_1_3 = 0;
subject to dia2_2_1:
	x11_2_1 - x14_2_1 = 0;
subject to dia2_2_2:
	x11_2_2 - x14_2_2 = 0;
subject to dia2_2_3:
	x11_2_3 - x14_2_3 = 0;
subject to dia2_3_1:
	x11_3_1 - x14_3_1 = 0;
subject to dia2_3_2:
	x11_3_2 - x14_3_2 = 0;
subject to dia2_3_3:
	x11_3_3 - x14_3_3 = 0;
subject to dia2_4_1:
	x11_4_1 - x14_4_1 = 0;
subject to dia2_4_2:
	x11_4_2 - x14_4_2 = 0;
subject to dia2_4_3:
	x11_4_3 - x14_4_3 = 0;

solve;
	display x1_1_1;
	display x1_1_2;
	display x1_1_3;
	display x1_2_1;
	display x1_2_2;
	display x1_2_3;
	display x1_3_1;
	display x1_3_2;
	display x1_3_3;
	display x1_4_1;
	display x1_4_2;
	display x1_4_3;
	display x2_1_1;
	display x2_1_2;
	display x2_1_3;
	display x2_2_1;
	display x2_2_2;
	display x2_2_3;
	display x2_3_1;
	display x2_3_2;
	display x2_3_3;
	display x2_4_1;
	display x2_4_2;
	display x2_4_3;
	display x3_1_1;
	display x3_1_2;
	display x3_1_3;
	display x3_2_1;
	display x3_2_2;
	display x3_2_3;
	display x3_3_1;
	display x3_3_2;
	display x3_3_3;
	display x3_4_1;
	display x3_4_2;
	display x3_4_3;
	display x4_1_1;
	display x4_1_2;
	display x4_1_3;
	display x4_2_1;
	display x4_2_2;
	display x4_2_3;
	display x4_3_1;
	display x4_3_2;
	display x4_3_3;
	display x4_4_1;
	display x4_4_2;
	display x4_4_3;
	display x5_1_1;
	display x5_1_2;
	display x5_1_3;
	display x5_2_1;
	display x5_2_2;
	display x5_2_3;
	display x5_3_1;
	display x5_3_2;
	display x5_3_3;
	display x5_4_1;
	display x5_4_2;
	display x5_4_3;
	display x6_1_1;
	display x6_1_2;
	display x6_1_3;
	display x6_2_1;
	display x6_2_2;
	display x6_2_3;
	display x6_3_1;
	display x6_3_2;
	display x6_3_3;
	display x6_4_1;
	display x6_4_2;
	display x6_4_3;
	display x7_1_1;
	display x7_1_2;
	display x7_1_3;
	display x7_2_1;
	display x7_2_2;
	display x7_2_3;
	display x7_3_1;
	display x7_3_2;
	display x7_3_3;
	display x7_4_1;
	display x7_4_2;
	display x7_4_3;
	display x8_1_1;
	display x8_1_2;
	display x8_1_3;
	display x8_2_1;
	display x8_2_2;
	display x8_2_3;
	display x8_3_1;
	display x8_3_2;
	display x8_3_3;
	display x8_4_1;
	display x8_4_2;
	display x8_4_3;
	display x9_1_1;
	display x9_1_2;
	display x9_1_3;
	display x9_2_1;
	display x9_2_2;
	display x9_2_3;
	display x9_3_1;
	display x9_3_2;
	display x9_3_3;
	display x9_4_1;
	display x9_4_2;
	display x9_4_3;
	display x10_1_1;
	display x10_1_2;
	display x10_1_3;
	display x10_2_1;
	display x10_2_2;
	display x10_2_3;
	display x10_3_1;
	display x10_3_2;
	display x10_3_3;
	display x10_4_1;
	display x10_4_2;
	display x10_4_3;
	display x11_1_1;
	display x11_1_2;
	display x11_1_3;
	display x11_2_1;
	display x11_2_2;
	display x11_2_3;
	display x11_3_1;
	display x11_3_2;
	display x11_3_3;
	display x11_4_1;
	display x11_4_2;
	display x11_4_3;
	display x12_1_1;
	display x12_1_2;
	display x12_1_3;
	display x12_2_1;
	display x12_2_2;
	display x12_2_3;
	display x12_3_1;
	display x12_3_2;
	display x12_3_3;
	display x12_4_1;
	display x12_4_2;
	display x12_4_3;
	display x13_1_1;
	display x13_1_2;
	display x13_1_3;
	display x13_2_1;
	display x13_2_2;
	display x13_2_3;
	display x13_3_1;
	display x13_3_2;
	display x13_3_3;
	display x13_4_1;
	display x13_4_2;
	display x13_4_3;
	display x14_1_1;
	display x14_1_2;
	display x14_1_3;
	display x14_2_1;
	display x14_2_2;
	display x14_2_3;
	display x14_3_1;
	display x14_3_2;
	display x14_3_3;
	display x14_4_1;
	display x14_4_2;
	display x14_4_3;
	display k1_1;
	display phi1_1;
	display k1_2;
	display phi1_2;
	display k1_3;
	display phi1_3;
	display k1_4;
	display phi1_4;
	display k1_5;
	display phi1_5;
	display k1_6;
	display phi1_6;
	display k2_1;
	display phi2_1;
	display k2_2;
	display phi2_2;
	display k2_3;
	display phi2_3;
	display k2_4;
	display phi2_4;
	display k2_5;
	display phi2_5;
	display k2_6;
	display phi2_6;
	display k3_1;
	display phi3_1;
	display k3_2;
	display phi3_2;
	display k3_3;
	display phi3_3;
	display k3_4;
	display phi3_4;
	display k3_5;
	display phi3_5;
	display k3_6;
	display phi3_6;
	display k4_1;
	display phi4_1;
	display k4_2;
	display phi4_2;
	display k4_3;
	display phi4_3;
	display k4_4;
	display phi4_4;
	display k4_5;
	display phi4_5;
	display k4_6;
	display phi4_6;
	display k5_1;
	display phi5_1;
	display k5_2;
	display phi5_2;
	display k5_3;
	display phi5_3;
	display k5_4;
	display phi5_4;
	display k5_5;
	display phi5_5;
	display k5_6;
	display phi5_6;
	display k6_1;
	display phi6_1;
	display k6_2;
	display phi6_2;
	display k6_3;
	display phi6_3;
	display k6_4;
	display phi6_4;
	display k6_5;
	display phi6_5;
	display k6_6;
	display phi6_6;
	display k7_1;
	display phi7_1;
	display k7_2;
	display phi7_2;
	display k7_3;
	display phi7_3;
	display k7_4;
	display phi7_4;
	display k7_5;
	display phi7_5;
	display k7_6;
	display phi7_6;
	display k8_1;
	display phi8_1;
	display k8_2;
	display phi8_2;
	display k8_3;
	display phi8_3;
	display k8_4;
	display phi8_4;
	display k8_5;
	display phi8_5;
	display k8_6;
	display phi8_6;
	display k9_1;
	display phi9_1;
	display k9_2;
	display phi9_2;
	display k9_3;
	display phi9_3;
	display k9_4;
	display phi9_4;
	display k9_5;
	display phi9_5;
	display k9_6;
	display phi9_6;
	display k10_1;
	display phi10_1;
	display k10_2;
	display phi10_2;
	display k10_3;
	display phi10_3;
	display k10_4;
	display phi10_4;
	display k10_5;
	display phi10_5;
	display k10_6;
	display phi10_6;
	display k11_1;
	display phi11_1;
	display k11_2;
	display phi11_2;
	display k11_3;
	display phi11_3;
	display k11_4;
	display phi11_4;
	display k11_5;
	display phi11_5;
	display k11_6;
	display phi11_6;
	display k12_1;
	display phi12_1;
	display k12_2;
	display phi12_2;
	display k12_3;
	display phi12_3;
	display k12_4;
	display phi12_4;
	display k12_5;
	display phi12_5;
	display k12_6;
	display phi12_6;
	display k13_1;
	display phi13_1;
	display k13_2;
	display phi13_2;
	display k13_3;
	display phi13_3;
	display k13_4;
	display phi13_4;
	display k13_5;
	display phi13_5;
	display k13_6;
	display phi13_6;
	display k14_1;
	display phi14_1;
	display k14_2;
	display phi14_2;
	display k14_3;
	display phi14_3;
	display k14_4;
	display phi14_4;
	display k14_5;
	display phi14_5;
	display k14_6;
	display phi14_6;
	display keff1;
	display keff2;
	display keff3;
	display keff4;
	display keff5;
	display keff6;
	display epsilon;
display obj;