Wall clock time and date at job start Sat Apr 11 2020 06:12:45 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 1.52993 * 1 3 3 C 1.53004 * 109.47380 * 2 1 4 4 N 1.46503 * 109.46911 * 120.00030 * 2 1 3 5 5 C 1.34780 * 119.99965 * 155.27960 * 4 2 1 6 6 O 1.21276 * 120.00154 * 359.71421 * 5 4 2 7 7 C 1.50705 * 119.99765 * 179.72342 * 5 4 2 8 8 N 1.46906 * 109.46717 * 179.97438 * 7 5 4 9 9 C 1.46895 * 110.99662 * 66.04739 * 8 7 5 10 10 C 1.46901 * 110.99432 * 190.00132 * 8 7 5 11 11 C 1.50699 * 109.46811 * 170.00452 * 10 8 7 12 12 O 1.21282 * 120.00055 * 359.97438 * 11 10 8 13 13 N 1.34773 * 119.99855 * 179.97438 * 11 10 8 14 14 C 1.46506 * 120.00121 * 179.97438 * 13 11 10 15 15 H 1.08997 * 110.63590 * 325.70120 * 14 13 11 16 16 C 1.55153 * 110.72159 * 88.83955 * 14 13 11 17 17 C 1.55124 * 101.48584 * 153.73513 * 16 14 13 18 18 N 1.47420 * 104.94242 * 323.22652 * 17 16 14 19 19 C 1.36940 * 125.64524 * 204.03789 * 18 17 16 20 20 H 1.08000 * 119.99735 * 161.44514 * 19 18 17 21 21 C 1.38807 * 120.00229 * 341.44506 * 19 18 17 22 22 N 1.31618 * 120.00071 * 157.60227 * 21 19 18 23 23 Si 1.86801 * 119.99995 * 337.61140 * 21 19 18 24 24 H 1.48500 * 109.47175 * 84.53641 * 23 21 19 25 25 H 1.48499 * 109.46884 * 204.53914 * 23 21 19 26 26 H 1.48504 * 109.47083 * 324.53916 * 23 21 19 27 27 C 1.47020 * 108.70646 * 23.99846 * 18 17 16 28 28 H 1.08994 * 109.89005 * 239.52738 * 27 18 17 29 29 C 1.53002 * 110.00840 * 118.43073 * 27 18 17 30 30 H 1.08990 * 109.47377 * 300.00505 * 1 2 3 31 31 H 1.09008 * 109.47010 * 60.00090 * 1 2 3 32 32 H 1.09000 * 109.47303 * 179.97438 * 1 2 3 33 33 H 1.09007 * 109.47357 * 239.99644 * 2 1 3 34 34 H 1.09001 * 109.47144 * 179.97438 * 3 2 1 35 35 H 1.09004 * 109.46659 * 299.99553 * 3 2 1 36 36 H 1.09000 * 109.46900 * 59.99811 * 3 2 1 37 37 H 0.96996 * 120.00242 * 334.99080 * 4 2 1 38 38 H 1.09000 * 109.46858 * 299.99107 * 7 5 4 39 39 H 1.08994 * 109.47159 * 59.99544 * 7 5 4 40 40 H 1.08997 * 109.47446 * 59.99958 * 9 8 7 41 41 H 1.09005 * 109.46470 * 180.02562 * 9 8 7 42 42 H 1.09001 * 109.47048 * 299.99246 * 9 8 7 43 43 H 1.09003 * 109.46764 * 289.99389 * 10 8 7 44 44 H 1.08992 * 109.47759 * 49.99507 * 10 8 7 45 45 H 0.96997 * 120.00112 * 359.97438 * 13 11 10 46 46 H 1.09005 * 111.00624 * 271.94522 * 16 14 13 47 47 H 1.09003 * 110.99896 * 35.79270 * 16 14 13 48 48 H 1.09003 * 110.41929 * 204.29627 * 17 16 14 49 49 H 1.09002 * 110.29950 * 82.09618 * 17 16 14 50 50 H 0.97003 * 120.00108 * 180.02562 * 22 21 19 51 51 H 1.08999 * 109.47350 * 302.11284 * 29 27 18 52 52 H 1.08997 * 109.47318 * 62.11578 * 29 27 18 53 53 H 1.09005 * 109.47186 * 182.12077 * 29 27 18 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 7 2.0182 -0.6906 1.1962 5 6 3.2425 -1.2544 1.1963 6 8 3.9378 -1.1944 0.2045 7 6 3.7472 -1.9594 2.4290 8 7 5.0958 -2.4838 2.1754 9 6 6.0574 -1.3907 1.9795 10 6 5.5263 -3.3757 3.2603 11 6 6.7947 -4.0821 2.8563 12 8 7.2909 -3.8644 1.7713 13 7 7.3777 -4.9558 3.7008 14 6 8.6105 -5.6430 3.3079 15 1 8.6118 -5.8476 2.2373 16 6 9.8557 -4.8088 3.7089 17 6 10.9327 -5.9149 3.8607 18 7 10.2171 -7.0650 4.4425 19 6 10.7878 -8.0751 5.1698 20 1 10.1730 -8.7009 5.7997 21 6 12.1565 -8.2948 5.0976 22 7 12.7740 -8.9268 6.0731 23 14 13.1220 -7.6932 3.6159 24 1 13.4949 -6.2693 3.8130 25 1 14.3524 -8.5103 3.4619 26 1 12.2863 -7.8216 2.3951 27 6 8.7890 -6.9473 4.1133 28 1 8.1999 -6.9010 5.0291 29 6 8.3459 -8.1445 3.2698 30 1 -0.3633 0.5139 0.8898 31 1 -0.3633 0.5139 -0.8901 32 1 -0.3634 -1.0276 -0.0005 33 1 1.8933 -0.5139 -0.8900 34 1 3.1300 1.4425 0.0005 35 1 1.6767 1.9563 -0.8901 36 1 1.6766 1.9563 0.8900 37 1 1.4622 -0.7386 1.9895 38 1 3.7810 -1.2565 3.2614 39 1 3.0778 -2.7833 2.6760 40 1 6.0869 -0.7681 2.8737 41 1 7.0475 -1.8069 1.7932 42 1 5.7513 -0.7862 1.1257 43 1 5.7080 -2.7901 4.1615 44 1 4.7470 -4.1120 3.4564 45 1 6.9811 -5.1297 4.5687 46 1 10.1237 -4.1039 2.9218 47 1 9.6918 -4.2923 4.6546 48 1 11.7263 -5.5836 4.5305 49 1 11.3447 -6.1778 2.8864 50 1 13.7305 -9.0799 6.0228 51 1 8.9509 -8.1950 2.3645 52 1 8.4747 -9.0615 3.8446 53 1 7.2962 -8.0296 2.9992 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 ZINC001656972784.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 06:12:45 Heat of formation + Delta-G solvation = -31.254770 kcal Electronic energy + Delta-G solvation = -30158.312034 eV Core-core repulsion = 26066.287218 eV Total energy + Delta-G solvation = -4092.024816 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.94 seconds Orbital eigenvalues (eV) -40.40579 -39.77133 -38.08782 -36.86926 -35.83023 -34.08566 -32.18524 -32.10369 -30.68391 -29.84547 -28.62174 -27.89667 -27.71046 -25.00262 -23.95459 -23.46350 -21.64721 -21.09486 -20.73296 -20.32361 -19.50072 -17.64943 -17.09655 -16.86586 -16.41374 -16.15500 -16.01926 -15.46225 -15.15221 -15.01887 -14.61009 -14.46633 -14.37480 -14.04817 -13.56506 -13.41737 -13.34633 -13.01172 -12.94157 -12.80700 -12.75263 -12.64665 -12.27376 -12.12763 -11.97405 -11.90745 -11.68442 -11.62198 -11.49380 -11.42451 -11.18582 -10.85652 -10.76565 -10.43172 -10.15278 -10.07094 -9.97345 -9.56856 -9.46381 -9.41823 -8.80566 -8.64209 -8.53429 -7.07784 -5.94712 -3.25507 2.36832 2.58220 2.74377 3.16852 3.37343 3.51248 3.54027 3.83730 4.28032 4.48479 4.55977 4.57290 4.65589 4.76484 4.81320 4.82491 4.96496 4.99040 5.07149 5.07582 5.18715 5.20202 5.26259 5.28958 5.34608 5.40744 5.45113 5.51544 5.62744 5.63388 5.78602 5.87041 5.95948 6.06009 6.08952 6.19642 6.21555 6.33859 6.42205 6.50580 6.60127 6.64259 6.69957 6.75255 6.83130 7.00677 7.15804 7.66298 7.70433 7.96931 8.30642 8.39234 8.82507 9.68713 10.16412 11.21119 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.034948 B = 0.001833 C = 0.001797 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 801.000096 B =15272.646244 C =15578.072925 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.136 3.864 3 C -0.164 4.164 4 N -0.733 5.733 5 C 0.513 3.487 6 O -0.512 6.512 7 C 0.036 3.964 8 N -0.506 5.506 9 C 0.014 3.986 10 C 0.036 3.964 11 C 0.512 3.488 12 O -0.519 6.519 13 N -0.718 5.718 14 C 0.136 3.864 15 H 0.096 0.904 16 C -0.140 4.140 17 C 0.112 3.888 18 N -0.601 5.601 19 C -0.238 4.238 20 H 0.092 0.908 21 C 0.023 3.977 22 N -0.908 5.908 23 Si 0.881 3.119 24 H -0.285 1.285 25 H -0.303 1.303 26 H -0.276 1.276 27 C 0.156 3.844 28 H 0.045 0.955 29 C -0.155 4.155 30 H 0.060 0.940 31 H 0.072 0.928 32 H 0.062 0.938 33 H 0.088 0.912 34 H 0.060 0.940 35 H 0.065 0.935 36 H 0.055 0.945 37 H 0.398 0.602 38 H 0.064 0.936 39 H 0.105 0.895 40 H 0.015 0.985 41 H 0.090 0.910 42 H 0.086 0.914 43 H 0.064 0.936 44 H 0.104 0.896 45 H 0.398 0.602 46 H 0.069 0.931 47 H 0.071 0.929 48 H 0.062 0.938 49 H 0.027 0.973 50 H 0.263 0.737 51 H 0.050 0.950 52 H 0.061 0.939 53 H 0.041 0.959 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -26.655 19.288 -5.488 33.356 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 -0.218 4.218 2 C 0.032 3.968 3 C -0.222 4.222 4 N -0.387 5.387 5 C 0.299 3.701 6 O -0.386 6.386 7 C -0.096 4.096 8 N -0.230 5.230 9 C -0.133 4.133 10 C -0.095 4.095 11 C 0.297 3.703 12 O -0.394 6.394 13 N -0.370 5.370 14 C 0.031 3.969 15 H 0.114 0.886 16 C -0.179 4.179 17 C -0.014 4.014 18 N -0.327 5.327 19 C -0.365 4.365 20 H 0.110 0.890 21 C -0.175 4.175 22 N -0.552 5.552 23 Si 0.711 3.289 24 H -0.212 1.212 25 H -0.231 1.231 26 H -0.201 1.201 27 C 0.049 3.951 28 H 0.063 0.937 29 C -0.215 4.215 30 H 0.079 0.921 31 H 0.091 0.909 32 H 0.081 0.919 33 H 0.106 0.894 34 H 0.080 0.920 35 H 0.084 0.916 36 H 0.074 0.926 37 H 0.232 0.768 38 H 0.082 0.918 39 H 0.123 0.877 40 H 0.033 0.967 41 H 0.109 0.891 42 H 0.104 0.896 43 H 0.082 0.918 44 H 0.122 0.878 45 H 0.233 0.767 46 H 0.087 0.913 47 H 0.089 0.911 48 H 0.080 0.920 49 H 0.045 0.955 50 H 0.073 0.927 51 H 0.070 0.930 52 H 0.080 0.920 53 H 0.060 0.940 Dipole moment (debyes) X Y Z Total from point charges -25.584 19.059 -7.347 32.738 hybrid contribution 0.193 0.553 0.808 0.998 sum -25.391 19.612 -6.539 32.743 Atomic orbital electron populations 1.22071 0.94121 1.02676 1.02906 1.20918 0.93894 0.92983 0.88996 1.22189 1.02218 0.95807 1.01999 1.46116 1.17959 1.57791 1.16839 1.20525 0.81270 0.78394 0.89922 1.90721 1.55531 1.57735 1.34573 1.22003 0.92767 0.99786 0.95017 1.61292 1.00638 1.19575 1.41478 1.22735 0.97850 0.92389 1.00362 1.22008 0.96934 0.97309 0.93280 1.20318 0.85339 0.79808 0.84819 1.90703 1.64330 1.62616 1.21731 1.46004 1.27142 1.44142 1.19762 1.22099 0.82535 0.92110 1.00114 0.88594 1.23160 0.95775 0.97790 1.01219 1.21987 0.94982 0.87323 0.97093 1.44808 1.01876 1.23602 1.62400 1.18573 0.91704 1.08868 1.17386 0.88993 1.24978 0.96265 0.98417 0.97878 1.69834 1.09412 1.45451 1.30489 0.87016 0.79107 0.77461 0.85310 1.21210 1.23064 1.20147 1.21074 0.87737 0.91472 0.94857 0.93687 1.22202 0.98744 1.00003 1.00532 0.92107 0.90932 0.91909 0.89368 0.92045 0.91645 0.92588 0.76837 0.91836 0.87735 0.96690 0.89139 0.89595 0.91764 0.87775 0.76730 0.91264 0.91064 0.92012 0.95528 0.92715 0.93040 0.92041 0.94017 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.16 -0.55 9.38 37.15 0.35 -0.21 16 2 C 0.14 0.82 3.18 -67.93 -0.22 0.61 16 3 C -0.16 -0.97 9.48 37.16 0.35 -0.62 16 4 N -0.73 -4.31 5.08 -53.80 -0.27 -4.58 16 5 C 0.51 4.78 7.52 -10.98 -0.08 4.69 16 6 O -0.51 -7.18 13.97 5.56 0.08 -7.10 16 7 C 0.04 0.26 5.45 -4.97 -0.03 0.23 16 8 N -0.51 -5.65 4.24 -245.82 -1.04 -6.69 16 9 C 0.01 0.17 8.85 60.06 0.53 0.70 16 10 C 0.04 0.34 5.45 -4.98 -0.03 0.31 16 11 C 0.51 6.92 7.52 -10.99 -0.08 6.84 16 12 O -0.52 -9.31 14.02 5.56 0.08 -9.23 16 13 N -0.72 -9.27 5.19 -52.03 -0.27 -9.54 16 14 C 0.14 2.28 2.79 -66.09 -0.18 2.09 16 15 H 0.10 1.77 7.33 -51.93 -0.38 1.39 16 16 C -0.14 -2.48 6.79 -24.47 -0.17 -2.64 16 17 C 0.11 2.45 4.70 -2.42 -0.01 2.44 16 18 N -0.60 -14.11 2.94 -162.44 -0.48 -14.59 16 19 C -0.24 -6.59 10.19 -15.06 -0.15 -6.74 16 20 H 0.09 2.68 8.06 -52.49 -0.42 2.26 16 21 C 0.02 0.67 5.43 -17.43 -0.09 0.58 16 22 N -0.91 -27.78 13.97 55.49 0.78 -27.00 16 23 Si 0.88 22.78 24.27 -169.99 -4.13 18.65 16 24 H -0.29 -7.12 6.49 56.52 0.37 -6.76 16 25 H -0.30 -7.94 7.11 56.52 0.40 -7.54 16 26 H -0.28 -7.10 6.66 56.52 0.38 -6.73 16 27 C 0.16 2.93 3.48 -66.95 -0.23 2.70 16 28 H 0.05 0.81 7.70 -51.93 -0.40 0.41 16 29 C -0.16 -2.81 9.14 37.16 0.34 -2.47 16 30 H 0.06 0.15 8.14 -51.93 -0.42 -0.27 16 31 H 0.07 0.21 8.14 -51.92 -0.42 -0.21 16 32 H 0.06 0.22 8.14 -51.93 -0.42 -0.20 16 33 H 0.09 0.73 7.58 -51.92 -0.39 0.34 16 34 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 35 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 36 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 37 H 0.40 1.12 8.60 -40.82 -0.35 0.77 16 38 H 0.06 0.33 8.12 -51.93 -0.42 -0.09 16 39 H 0.10 0.52 7.93 -51.93 -0.41 0.11 16 40 H 0.01 0.15 8.14 -51.93 -0.42 -0.27 16 41 H 0.09 1.34 5.83 -51.93 -0.30 1.03 16 42 H 0.09 1.17 5.88 -51.93 -0.31 0.86 16 43 H 0.06 0.47 8.12 -51.93 -0.42 0.04 16 44 H 0.10 0.71 7.93 -51.93 -0.41 0.30 16 45 H 0.40 4.00 8.34 -40.82 -0.34 3.66 16 46 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 47 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 48 H 0.06 1.44 6.64 -51.93 -0.34 1.09 16 49 H 0.03 0.62 5.57 -51.93 -0.29 0.33 16 50 H 0.26 7.68 8.31 -40.82 -0.34 7.34 16 51 H 0.05 0.99 8.14 -51.93 -0.42 0.56 16 52 H 0.06 1.18 8.05 -51.93 -0.42 0.76 16 53 H 0.04 0.63 8.14 -51.93 -0.42 0.21 16 LS Contribution 412.83 15.07 6.22 6.22 Total: -1.00 -36.41 412.83 -8.20 -44.62 By element: Atomic # 1 Polarization: 10.21 SS G_CDS: -9.46 Total: 0.75 kcal Atomic # 6 Polarization: 8.21 SS G_CDS: 0.29 Total: 8.51 kcal Atomic # 7 Polarization: -61.12 SS G_CDS: -1.29 Total: -62.41 kcal Atomic # 8 Polarization: -16.49 SS G_CDS: 0.16 Total: -16.34 kcal Atomic # 14 Polarization: 22.78 SS G_CDS: -4.13 Total: 18.65 kcal Total LS contribution 6.22 Total: 6.22 kcal Total: -36.41 -8.20 -44.62 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. ZINC001656972784.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 13.360 kcal (2) G-P(sol) polarization free energy of solvation -36.411 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -23.051 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.204 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.615 kcal (6) G-S(sol) free energy of system = (1) + (5) -31.255 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds