Wall clock time and date at job start Sat Apr 11 2020 06:11:37 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53001 * 1 3 3 C 1.53003 * 109.47172 * 2 1 4 4 H 1.08990 * 109.98819 * 54.63536 * 3 2 1 5 5 C 1.54104 * 109.87548 * 175.71530 * 3 2 1 6 6 C 1.54818 * 104.18647 * 121.45476 * 5 3 2 7 7 C 1.54998 * 102.08767 * 20.87939 * 6 5 3 8 8 H 1.09004 * 110.75448 * 81.54307 * 7 6 5 9 9 C 1.50709 * 110.61619 * 204.47436 * 7 6 5 10 10 O 1.21272 * 119.99801 * 110.52369 * 9 7 6 11 11 N 1.34783 * 119.99715 * 290.52931 * 9 7 6 12 12 C 1.46493 * 120.00107 * 359.97438 * 11 9 7 13 13 C 1.50706 * 109.47128 * 90.00402 * 12 11 9 14 14 H 1.08000 * 119.99302 * 359.97438 * 13 12 11 15 15 C 1.37871 * 120.00436 * 179.72498 * 13 12 11 16 16 N 1.31514 * 120.00481 * 180.02562 * 15 13 12 17 17 Si 1.86801 * 119.99745 * 359.97438 * 15 13 12 18 18 H 1.48504 * 109.47209 * 90.00365 * 17 15 13 19 19 H 1.48506 * 109.47294 * 210.00213 * 17 15 13 20 20 H 1.48501 * 109.47275 * 330.00116 * 17 15 13 21 21 C 1.46497 * 119.99658 * 180.02562 * 11 9 7 22 22 C 1.53008 * 109.46926 * 269.99594 * 21 11 9 23 23 N 1.46896 * 109.46933 * 180.02562 * 22 21 11 24 24 C 1.47019 * 110.99804 * 293.62954 * 23 22 21 25 25 C 1.53100 * 109.25293 * 177.61069 * 24 23 22 26 26 O 1.43019 * 109.26106 * 56.85351 * 25 24 23 27 27 C 1.43015 * 113.73664 * 301.32716 * 26 25 24 28 28 C 1.47022 * 110.99854 * 170.00144 * 23 22 21 29 29 O 1.43744 * 109.88068 * 293.54517 * 3 2 1 30 30 H 1.09002 * 109.47354 * 59.99678 * 1 2 3 31 31 H 1.09000 * 109.47044 * 179.97438 * 1 2 3 32 32 H 1.09007 * 109.46866 * 299.99878 * 1 2 3 33 33 H 1.09007 * 109.46866 * 240.00122 * 2 1 3 34 34 H 1.08999 * 109.47189 * 120.00818 * 2 1 3 35 35 H 1.08996 * 110.48605 * 240.13131 * 5 3 2 36 36 H 1.08993 * 110.48918 * 2.78344 * 5 3 2 37 37 H 1.08995 * 110.90465 * 262.68193 * 6 5 3 38 38 H 1.08992 * 110.90488 * 139.07489 * 6 5 3 39 39 H 1.09001 * 109.47786 * 330.00675 * 12 11 9 40 40 H 1.08998 * 109.47558 * 210.00538 * 12 11 9 41 41 H 0.96995 * 120.00207 * 179.97438 * 16 15 13 42 42 H 1.08998 * 109.47569 * 29.99343 * 21 11 9 43 43 H 1.08997 * 109.47185 * 150.00014 * 21 11 9 44 44 H 1.08998 * 109.46792 * 300.00225 * 22 21 11 45 45 H 1.08997 * 109.46846 * 60.00212 * 22 21 11 46 46 H 1.08995 * 109.50947 * 297.54437 * 24 23 22 47 47 H 1.08996 * 109.50322 * 57.67771 * 24 23 22 48 48 H 1.09002 * 109.50713 * 296.91494 * 25 24 23 49 49 H 1.09006 * 109.50209 * 176.78651 * 25 24 23 50 50 H 1.09004 * 109.50602 * 298.73769 * 27 26 25 51 51 H 1.09000 * 109.50786 * 178.60439 * 27 26 25 52 52 H 1.09000 * 109.49920 * 302.32668 * 28 23 22 53 53 H 1.08998 * 109.50786 * 62.45227 * 28 23 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.6053 1.9914 0.8353 5 6 3.5772 1.4547 0.1083 6 6 4.0411 2.2088 -1.1618 7 6 2.7659 2.9974 -1.5550 8 1 2.6787 3.9098 -0.9650 9 6 2.7733 3.3182 -3.0275 10 8 1.9863 2.7719 -3.7710 11 7 3.6547 4.2122 -3.5179 12 6 4.6050 4.8724 -2.6196 13 6 5.8674 4.0537 -2.5341 14 1 5.9528 3.1334 -3.0927 15 6 6.9150 4.4821 -1.7468 16 7 8.0168 3.7679 -1.6725 17 14 6.7699 6.0778 -0.7866 18 1 6.2012 5.7976 0.5563 19 1 8.1149 6.6894 -0.6366 20 1 5.8785 7.0152 -1.5160 21 6 3.6615 4.5245 -4.9492 22 6 4.6142 3.5719 -5.6745 23 7 4.6215 3.8854 -7.1096 24 6 3.3156 3.5945 -7.7190 25 6 3.3491 3.9906 -9.1975 26 8 4.4168 3.2961 -9.8480 27 6 5.7033 3.5569 -9.2803 28 6 5.6938 3.1565 -7.8027 29 8 1.6939 2.0834 -1.2392 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5139 0.8901 33 1 1.8933 -0.5139 -0.8901 34 1 1.8934 -0.5139 0.8899 35 1 3.8922 1.9881 1.0051 36 1 3.9675 0.4371 0.1115 37 1 4.3236 1.5090 -1.9482 38 1 4.8628 2.8873 -0.9329 39 1 4.1635 4.9641 -1.6272 40 1 4.8407 5.8643 -3.0053 41 1 8.7539 4.0695 -1.1189 42 1 2.6552 4.4078 -5.3514 43 1 3.9943 5.5521 -5.0953 44 1 5.6205 3.6886 -5.2723 45 1 4.2814 2.5443 -5.5284 46 1 3.1028 2.5290 -7.6324 47 1 2.5401 4.1641 -7.2071 48 1 3.5086 5.0655 -9.2829 49 1 2.4021 3.7241 -9.6672 50 1 5.9313 4.6192 -9.3680 51 1 6.4591 2.9768 -9.8097 52 1 6.6541 3.4063 -7.3516 53 1 5.5189 2.0840 -7.7173 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC000362499806.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:37 Heat of formation + Delta-G solvation = -120.975752 kcal Electronic energy + Delta-G solvation = -31959.937089 eV Core-core repulsion = 27831.728928 eV Total energy + Delta-G solvation = -4128.208161 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.83 seconds Orbital eigenvalues (eV) -40.02874 -39.41242 -38.26383 -36.02647 -34.96983 -33.41672 -32.67185 -31.64628 -31.15724 -30.07544 -28.20934 -27.93517 -25.90848 -23.96782 -23.83359 -22.57812 -21.89288 -21.41696 -20.60629 -20.22678 -18.48376 -17.29530 -16.68204 -16.40629 -16.11333 -16.06456 -15.76407 -15.22330 -14.99419 -14.81133 -14.62133 -14.59250 -14.01107 -13.95323 -13.43244 -13.30495 -13.05378 -12.98075 -12.88080 -12.78343 -12.59679 -12.23854 -11.95879 -11.83390 -11.56982 -11.46113 -11.34793 -11.32652 -11.08251 -10.96853 -10.84575 -10.75994 -10.57845 -10.46956 -10.35597 -10.26832 -10.15771 -9.64692 -9.64284 -9.44259 -8.98612 -8.76629 -8.24910 -7.87040 -6.32146 -4.32075 3.09080 3.17506 3.19543 3.20753 3.38285 3.84309 4.05939 4.17015 4.44241 4.89001 4.89299 4.94617 4.98662 5.09314 5.11340 5.20113 5.21354 5.27716 5.32480 5.35541 5.47394 5.49658 5.52247 5.59742 5.63675 5.67490 5.71407 5.83162 5.88841 5.91108 5.94364 6.00707 6.01670 6.04270 6.05534 6.19129 6.25064 6.33069 6.36136 6.42846 6.47447 6.57609 6.61539 6.93705 7.03189 7.09053 7.19163 7.21229 7.32392 7.38035 7.99551 8.29395 8.71276 8.83899 9.25964 10.79147 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008358 B = 0.004147 C = 0.003045 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3349.316911 B = 6750.543309 C = 9193.871731 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.120 4.120 3 C 0.073 3.927 4 H 0.064 0.936 5 C -0.153 4.153 6 C -0.136 4.136 7 C 0.066 3.934 8 H 0.086 0.914 9 C 0.527 3.473 10 O -0.550 6.550 11 N -0.589 5.589 12 C 0.203 3.797 13 C -0.536 4.536 14 H 0.082 0.918 15 C 0.079 3.921 16 N -0.885 5.885 17 Si 0.865 3.135 18 H -0.273 1.273 19 H -0.283 1.283 20 H -0.264 1.264 21 C 0.132 3.868 22 C 0.043 3.957 23 N -0.534 5.534 24 C 0.014 3.986 25 C 0.065 3.935 26 O -0.390 6.390 27 C 0.065 3.935 28 C 0.019 3.981 29 O -0.351 6.351 30 H 0.062 0.938 31 H 0.049 0.951 32 H 0.049 0.951 33 H 0.069 0.931 34 H 0.070 0.930 35 H 0.073 0.927 36 H 0.075 0.925 37 H 0.073 0.927 38 H 0.128 0.872 39 H 0.029 0.971 40 H 0.037 0.963 41 H 0.267 0.733 42 H 0.071 0.929 43 H 0.080 0.920 44 H 0.097 0.903 45 H 0.034 0.966 46 H 0.042 0.958 47 H 0.088 0.912 48 H 0.058 0.942 49 H 0.094 0.906 50 H 0.059 0.941 51 H 0.095 0.905 52 H 0.089 0.911 53 H 0.040 0.960 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.156 -0.527 -3.060 7.801 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.206 4.206 2 C -0.157 4.157 3 C 0.015 3.985 4 H 0.082 0.918 5 C -0.191 4.191 6 C -0.174 4.174 7 C 0.005 3.995 8 H 0.104 0.896 9 C 0.314 3.686 10 O -0.429 6.429 11 N -0.321 5.321 12 C 0.082 3.918 13 C -0.574 4.574 14 H 0.100 0.900 15 C -0.125 4.125 16 N -0.522 5.522 17 Si 0.691 3.309 18 H -0.198 1.198 19 H -0.209 1.209 20 H -0.188 1.188 21 C 0.008 3.992 22 C -0.086 4.086 23 N -0.260 5.260 24 C -0.115 4.115 25 C -0.012 4.012 26 O -0.309 6.309 27 C -0.012 4.012 28 C -0.110 4.110 29 O -0.270 6.270 30 H 0.082 0.918 31 H 0.068 0.932 32 H 0.069 0.931 33 H 0.088 0.912 34 H 0.088 0.912 35 H 0.092 0.908 36 H 0.094 0.906 37 H 0.092 0.908 38 H 0.146 0.854 39 H 0.047 0.953 40 H 0.055 0.945 41 H 0.077 0.923 42 H 0.089 0.911 43 H 0.098 0.902 44 H 0.116 0.884 45 H 0.053 0.947 46 H 0.060 0.940 47 H 0.106 0.894 48 H 0.076 0.924 49 H 0.112 0.888 50 H 0.077 0.923 51 H 0.113 0.887 52 H 0.108 0.892 53 H 0.059 0.941 Dipole moment (debyes) X Y Z Total from point charges -7.507 -0.470 -3.687 8.377 hybrid contribution 0.353 0.168 1.226 1.287 sum -7.155 -0.302 -2.461 7.572 Atomic orbital electron populations 1.21719 0.95620 1.01073 1.02212 1.21691 0.96517 0.95195 1.02335 1.22811 0.94701 0.93677 0.87285 0.91841 1.23056 0.94586 1.01868 0.99604 1.23345 0.97765 0.99805 0.96438 1.22900 0.88463 0.94439 0.93693 0.89602 1.20048 0.80242 0.78852 0.89476 1.90619 1.40638 1.51434 1.60162 1.47796 1.34589 1.41704 1.08007 1.19945 0.88783 0.94040 0.89011 1.21331 0.97274 1.09474 1.29326 0.89956 1.24836 0.94973 0.96507 0.96226 1.69874 1.04964 1.38223 1.39153 0.87025 0.78213 0.84599 0.81060 1.19826 1.20870 1.18808 1.21183 0.99168 0.98727 0.80106 1.22578 1.02640 0.97765 0.85572 1.62193 1.03301 1.57067 1.03398 1.22837 0.92689 1.00295 0.95645 1.22665 0.90498 0.96547 0.91472 1.87948 1.15787 1.70110 1.57020 1.22663 0.85211 1.00922 0.92367 1.22756 0.96460 0.96676 0.95082 1.88931 1.41778 1.56677 1.39591 0.91844 0.93176 0.93147 0.91202 0.91157 0.90810 0.90625 0.90844 0.85425 0.95324 0.94476 0.92271 0.91107 0.90152 0.88423 0.94720 0.93988 0.89390 0.92366 0.88773 0.92292 0.88690 0.89231 0.94134 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.15 -1.81 9.82 37.16 0.37 -1.44 16 2 C -0.12 -1.56 5.42 -26.73 -0.14 -1.70 16 3 C 0.07 1.09 3.42 -26.15 -0.09 1.00 16 4 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 5 C -0.15 -2.32 6.64 -25.20 -0.17 -2.48 16 6 C -0.14 -2.52 5.28 -24.72 -0.13 -2.65 16 7 C 0.07 1.23 2.80 -26.82 -0.08 1.16 16 8 H 0.09 1.50 7.10 -51.93 -0.37 1.13 16 9 C 0.53 10.93 7.08 -10.98 -0.08 10.85 16 10 O -0.55 -12.79 16.15 -13.48 -0.22 -13.01 16 11 N -0.59 -11.54 2.46 -175.06 -0.43 -11.97 16 12 C 0.20 4.14 3.82 -5.19 -0.02 4.12 16 13 C -0.54 -12.50 6.35 -34.44 -0.22 -12.72 16 14 H 0.08 2.16 7.67 -52.49 -0.40 1.76 16 15 C 0.08 1.93 5.39 -17.82 -0.10 1.83 16 16 N -0.89 -23.62 13.96 55.43 0.77 -22.84 16 17 Si 0.86 18.39 27.47 -169.99 -4.67 13.72 16 18 H -0.27 -5.68 7.11 56.52 0.40 -5.28 16 19 H -0.28 -6.19 7.11 56.52 0.40 -5.79 16 20 H -0.26 -5.37 6.53 56.52 0.37 -5.00 16 21 C 0.13 2.33 5.39 -4.04 -0.02 2.31 16 22 C 0.04 0.76 5.28 -3.82 -0.02 0.74 16 23 N -0.53 -8.18 4.73 -234.30 -1.11 -9.29 16 24 C 0.01 0.19 5.44 -3.71 -0.02 0.17 16 25 C 0.07 0.79 7.01 37.21 0.26 1.05 16 26 O -0.39 -5.32 10.83 -35.23 -0.38 -5.71 16 27 C 0.07 0.79 7.01 37.21 0.26 1.05 16 28 C 0.02 0.26 5.64 -3.71 -0.02 0.24 16 29 O -0.35 -6.56 10.09 -54.28 -0.55 -7.11 16 30 H 0.06 0.89 7.89 -51.93 -0.41 0.48 16 31 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 32 H 0.05 0.55 8.14 -51.92 -0.42 0.13 16 33 H 0.07 0.99 8.14 -51.92 -0.42 0.57 16 34 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 35 H 0.07 1.02 8.14 -51.93 -0.42 0.59 16 36 H 0.08 1.06 7.70 -51.93 -0.40 0.66 16 37 H 0.07 1.49 8.05 -51.93 -0.42 1.07 16 38 H 0.13 2.61 5.36 -51.93 -0.28 2.33 16 39 H 0.03 0.56 5.56 -51.93 -0.29 0.28 16 40 H 0.04 0.75 6.93 -51.93 -0.36 0.39 16 41 H 0.27 6.78 8.31 -40.82 -0.34 6.44 16 42 H 0.07 1.25 5.80 -51.93 -0.30 0.95 16 43 H 0.08 1.34 7.89 -51.93 -0.41 0.93 16 44 H 0.10 1.93 7.17 -51.93 -0.37 1.56 16 45 H 0.03 0.69 8.12 -51.93 -0.42 0.27 16 46 H 0.04 0.65 8.14 -51.93 -0.42 0.22 16 47 H 0.09 1.20 6.38 -51.93 -0.33 0.87 16 48 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 49 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 50 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 51 H 0.10 0.96 8.14 -51.93 -0.42 0.54 16 52 H 0.09 1.23 8.09 -51.93 -0.42 0.81 16 53 H 0.04 0.60 8.14 -51.93 -0.42 0.18 16 LS Contribution 403.93 15.07 6.09 6.09 Total: -1.00 -28.47 403.93 -10.13 -38.60 By element: Atomic # 1 Polarization: 17.42 SS G_CDS: -9.42 Total: 7.99 kcal Atomic # 6 Polarization: 3.74 SS G_CDS: -0.22 Total: 3.53 kcal Atomic # 7 Polarization: -43.34 SS G_CDS: -0.76 Total: -44.10 kcal Atomic # 8 Polarization: -24.68 SS G_CDS: -1.15 Total: -25.83 kcal Atomic # 14 Polarization: 18.39 SS G_CDS: -4.67 Total: 13.72 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -28.47 -10.13 -38.60 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC000362499806.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -82.378 kcal (2) G-P(sol) polarization free energy of solvation -28.466 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.845 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.131 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.597 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.976 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.83 seconds