Wall clock time and date at job start Tue Mar 31 2020 19:28:44 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 1.53005 * 1 3 3 C 1.53001 * 109.47342 * 2 1 4 4 C 1.52991 * 109.47382 * 120.00449 * 2 1 3 5 5 H 1.09005 * 109.49099 * 300.02499 * 4 2 1 6 6 C 1.53090 * 109.48458 * 179.97438 * 4 2 1 7 7 C 1.53176 * 109.16592 * 182.40427 * 6 4 2 8 8 H 1.09005 * 109.54202 * 176.93685 * 7 6 4 9 9 C 1.50702 * 109.54579 * 297.11668 * 7 6 4 10 10 O 1.21282 * 119.99874 * 6.01676 * 9 7 6 11 11 N 1.34772 * 119.99783 * 186.01742 * 9 7 6 12 12 C 1.47627 * 120.90539 * 4.56134 * 11 9 7 13 13 C 1.53882 * 107.50203 * 132.49234 * 12 11 9 14 14 H 1.09002 * 112.09732 * 182.66471 * 13 12 11 15 15 C 1.54546 * 108.36893 * 307.00695 * 13 12 11 16 16 C 1.54276 * 104.84922 * 89.30075 * 15 13 12 17 17 C 1.54963 * 104.81008 * 359.81128 * 16 15 13 18 18 H 1.08997 * 112.25663 * 146.61175 * 17 16 15 19 19 C 1.47162 * 120.70771 * 185.24493 * 11 9 7 20 20 N 1.48309 * 107.20989 * 59.11606 * 13 12 11 21 21 C 1.36934 * 128.07788 * 106.09749 * 20 13 12 22 22 H 1.07995 * 120.00199 * 13.92598 * 21 20 13 23 23 C 1.38817 * 119.99794 * 193.92926 * 21 20 13 24 24 N 1.31618 * 119.99761 * 9.64919 * 23 21 20 25 25 Si 1.86801 * 119.99682 * 189.64807 * 23 21 20 26 26 H 1.48500 * 109.46892 * 269.99585 * 25 23 21 27 27 H 1.48491 * 109.47461 * 29.99867 * 25 23 21 28 28 H 1.48501 * 109.46776 * 150.00207 * 25 23 21 29 29 C 1.53184 * 109.10714 * 57.02860 * 7 6 4 30 30 C 1.53277 * 109.06125 * 303.05514 * 29 7 6 31 31 O 1.42905 * 109.48213 * 60.05230 * 4 2 1 32 32 H 1.09000 * 109.46548 * 299.99963 * 1 2 3 33 33 H 1.08998 * 109.47037 * 59.99500 * 1 2 3 34 34 H 1.08992 * 109.46974 * 179.97438 * 1 2 3 35 35 H 1.09000 * 109.46548 * 240.00037 * 2 1 3 36 36 H 1.09003 * 109.47040 * 300.00423 * 3 2 1 37 37 H 1.08998 * 109.46989 * 60.00032 * 3 2 1 38 38 H 1.08997 * 109.47387 * 180.02562 * 3 2 1 39 39 H 1.09004 * 109.51721 * 62.49903 * 6 4 2 40 40 H 1.09000 * 109.57403 * 302.34901 * 6 4 2 41 41 H 1.09001 * 109.37998 * 13.37966 * 12 11 9 42 42 H 1.09002 * 110.63248 * 252.31670 * 12 11 9 43 43 H 1.09000 * 110.36171 * 208.14135 * 15 13 12 44 44 H 1.08999 * 110.36303 * 330.34290 * 15 13 12 45 45 H 1.09001 * 110.36652 * 118.84601 * 16 15 13 46 46 H 1.08999 * 110.36164 * 241.04842 * 16 15 13 47 47 H 1.09004 * 109.74991 * 107.60826 * 19 11 9 48 48 H 1.08997 * 109.75016 * 346.87616 * 19 11 9 49 49 H 0.97000 * 119.99418 * 179.97438 * 24 23 21 50 50 H 1.09001 * 109.52334 * 62.88046 * 29 7 6 51 51 H 1.08997 * 109.51968 * 183.06941 * 29 7 6 52 52 H 1.09000 * 109.46240 * 297.55973 * 30 29 7 53 53 H 1.09005 * 109.45808 * 177.54903 * 30 29 7 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 1.5301 0.0000 0.0000 3 6 2.0401 1.4425 0.0000 4 6 2.0401 -0.7213 1.2491 5 1 1.6766 -0.2080 2.1394 6 6 3.5710 -0.7220 1.2490 7 6 4.0736 -1.4975 2.4706 8 1 5.1622 -1.5484 2.4476 9 6 3.6280 -0.7991 3.7295 10 8 2.8829 0.1554 3.6621 11 7 4.0577 -1.2352 4.9301 12 6 5.0423 -2.3305 5.0311 13 6 6.1293 -1.8855 6.0253 14 1 6.9243 -2.6249 6.1217 15 6 6.6655 -0.5074 5.5761 16 6 5.7540 0.5198 6.2790 17 6 4.7445 -0.3341 7.0870 18 1 4.4494 0.1477 8.0192 19 6 3.5440 -0.6394 6.1739 20 7 5.4563 -1.6144 7.3188 21 6 5.4815 -2.3722 8.4591 22 1 6.2094 -3.1629 8.5660 23 6 4.5715 -2.1242 9.4775 24 7 3.5685 -1.2960 9.2765 25 14 4.7704 -2.9659 11.1332 26 1 4.0326 -4.2547 11.1251 27 1 6.2107 -3.2217 11.3887 28 1 4.2259 -2.0906 12.2021 29 6 3.4935 -2.9149 2.4382 30 6 1.9638 -2.8288 2.3914 31 8 1.5649 -2.0690 1.2486 32 1 -0.3632 0.5138 0.8900 33 1 -0.3633 0.5139 -0.8899 34 1 -0.3633 -1.0276 -0.0005 35 1 1.8933 -0.5138 -0.8900 36 1 1.6767 1.9564 -0.8900 37 1 1.6768 1.9563 0.8900 38 1 3.1301 1.4425 -0.0005 39 1 3.9356 0.3043 1.2937 40 1 3.9359 -1.1988 0.3393 41 1 5.4884 -2.5071 4.0523 42 1 4.5663 -3.2431 5.3898 43 1 7.6993 -0.3796 5.8973 44 1 6.5903 -0.4057 4.4935 45 1 6.3395 1.1528 6.9458 46 1 5.2302 1.1287 5.5422 47 1 2.8737 -1.3419 6.6693 48 1 3.0097 0.2831 5.9472 49 1 2.9323 -1.1230 9.9880 50 1 3.8559 -3.4367 1.5525 51 1 3.8028 -3.4555 3.3327 52 1 1.5996 -2.3428 3.2966 53 1 1.5455 -3.8331 2.3243 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001029543606.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 19:28:44 Heat of formation + Delta-G solvation = -57.059420 kcal Electronic energy + Delta-G solvation = -32393.985126 eV Core-core repulsion = 28459.004637 eV Total energy + Delta-G solvation = -3934.980489 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.28 seconds Orbital eigenvalues (eV) -40.77262 -39.16847 -37.44459 -35.38854 -34.04090 -33.33589 -32.37264 -30.56704 -29.98397 -29.31187 -27.25912 -26.53580 -25.11175 -24.07271 -23.69419 -23.34945 -21.45204 -20.15971 -19.73421 -19.27780 -18.39615 -16.98512 -16.41800 -16.17452 -15.95119 -15.55187 -15.06471 -14.71525 -14.46908 -14.17956 -14.07387 -13.75205 -13.42567 -13.36766 -13.13363 -13.08176 -12.84157 -12.55342 -12.40483 -12.16879 -11.87695 -11.84666 -11.75364 -11.55774 -11.40919 -11.17792 -11.11658 -11.03682 -10.91938 -10.83772 -10.79294 -10.47102 -10.37918 -10.16903 -10.03505 -9.87096 -9.67807 -9.58604 -9.42826 -8.96087 -8.74653 -8.06703 -6.89408 -5.87694 -3.23136 3.05259 3.32351 3.38985 3.40311 3.56548 3.85042 4.37451 4.61017 4.71478 4.81314 4.91747 4.99215 5.08007 5.13428 5.20970 5.28603 5.37155 5.42556 5.55451 5.57675 5.61744 5.64734 5.69675 5.71470 5.73257 5.76286 5.80283 5.89339 5.90671 5.92765 5.96994 5.98913 6.06140 6.13132 6.18694 6.20705 6.28926 6.34367 6.36871 6.46129 6.49857 6.60498 6.67422 6.76454 6.84768 6.95320 7.25737 7.40439 7.46634 7.66595 8.06134 8.10414 8.68336 9.01420 9.63818 10.39685 11.24659 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019811 B = 0.003343 C = 0.003266 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1412.988680 B = 8372.662915 C = 8571.725992 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C -0.085 4.085 3 C -0.145 4.145 4 C 0.081 3.919 5 H 0.094 0.906 6 C -0.125 4.125 7 C -0.112 4.112 8 H 0.094 0.906 9 C 0.511 3.489 10 O -0.555 6.555 11 N -0.589 5.589 12 C 0.094 3.906 13 C 0.133 3.867 14 H 0.077 0.923 15 C -0.121 4.121 16 C -0.136 4.136 17 C 0.168 3.832 18 H 0.121 0.879 19 C 0.111 3.889 20 N -0.584 5.584 21 C -0.228 4.228 22 H 0.077 0.923 23 C -0.003 4.003 24 N -0.913 5.913 25 Si 0.912 3.088 26 H -0.289 1.289 27 H -0.281 1.281 28 H -0.290 1.290 29 C -0.148 4.148 30 C 0.063 3.937 31 O -0.382 6.382 32 H 0.053 0.947 33 H 0.049 0.951 34 H 0.060 0.940 35 H 0.069 0.931 36 H 0.054 0.946 37 H 0.060 0.940 38 H 0.057 0.943 39 H 0.079 0.921 40 H 0.069 0.931 41 H 0.066 0.934 42 H 0.067 0.933 43 H 0.054 0.946 44 H 0.049 0.951 45 H 0.052 0.948 46 H 0.052 0.948 47 H 0.077 0.923 48 H 0.069 0.931 49 H 0.255 0.745 50 H 0.078 0.922 51 H 0.082 0.918 52 H 0.050 0.950 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.544 0.211 -16.396 16.406 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 -0.200 4.200 2 C -0.103 4.103 3 C -0.203 4.203 4 C 0.024 3.976 5 H 0.111 0.889 6 C -0.163 4.163 7 C -0.133 4.133 8 H 0.112 0.888 9 C 0.298 3.702 10 O -0.435 6.435 11 N -0.320 5.320 12 C -0.031 4.031 13 C 0.024 3.976 14 H 0.095 0.905 15 C -0.160 4.160 16 C -0.175 4.175 17 C 0.060 3.940 18 H 0.138 0.862 19 C -0.012 4.012 20 N -0.305 5.305 21 C -0.356 4.356 22 H 0.094 0.906 23 C -0.200 4.200 24 N -0.559 5.559 25 Si 0.742 3.258 26 H -0.216 1.216 27 H -0.207 1.207 28 H -0.216 1.216 29 C -0.186 4.186 30 C -0.014 4.014 31 O -0.302 6.302 32 H 0.072 0.928 33 H 0.068 0.932 34 H 0.079 0.921 35 H 0.088 0.912 36 H 0.073 0.927 37 H 0.079 0.921 38 H 0.076 0.924 39 H 0.097 0.903 40 H 0.088 0.912 41 H 0.084 0.916 42 H 0.085 0.915 43 H 0.073 0.927 44 H 0.068 0.932 45 H 0.071 0.929 46 H 0.071 0.929 47 H 0.095 0.905 48 H 0.087 0.913 49 H 0.065 0.935 50 H 0.097 0.903 51 H 0.101 0.899 52 H 0.068 0.932 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges -0.063 0.591 -16.270 16.281 hybrid contribution 0.376 -0.552 1.116 1.301 sum 0.313 0.039 -15.154 15.157 Atomic orbital electron populations 1.21751 0.94898 1.02144 1.01176 1.21052 0.96354 0.95680 0.97247 1.21839 1.01186 0.95309 1.01938 1.22522 0.92405 0.82924 0.99709 0.88871 1.22009 0.97218 1.00915 0.96197 1.21379 1.01745 0.96159 0.94014 0.88809 1.20400 0.80994 0.84048 0.84729 1.90566 1.37895 1.28418 1.86589 1.48324 1.41951 1.35703 1.06039 1.22682 0.91234 0.89806 0.99360 1.21957 0.93262 0.95190 0.87220 0.90520 1.22445 0.98714 0.96611 0.98271 1.22699 0.98474 0.97594 0.98765 1.22014 0.88972 0.86474 0.96503 0.86192 1.22408 0.98162 0.98100 0.82519 1.45193 1.56320 1.21710 1.07323 1.18986 1.12182 1.12662 0.91728 0.90572 1.24818 0.96026 1.00028 0.99125 1.69828 1.14662 1.39020 1.32363 0.86138 0.77529 0.78563 0.83579 1.21579 1.20695 1.21589 1.22274 0.97302 0.95365 1.03656 1.22515 0.93451 0.96190 0.89233 1.87826 1.74887 1.23950 1.43489 0.92793 0.93194 0.92054 0.91226 0.92663 0.92106 0.92409 0.90292 0.91225 0.91622 0.91477 0.92687 0.93185 0.92897 0.92881 0.90517 0.91301 0.93461 0.90336 0.89909 0.93160 0.88994 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.14 -1.60 9.05 37.16 0.34 -1.27 16 2 C -0.08 -0.99 2.72 -90.62 -0.25 -1.24 16 3 C -0.15 -1.54 8.84 37.16 0.33 -1.22 16 4 C 0.08 1.13 1.94 -26.69 -0.05 1.08 16 5 H 0.09 1.57 5.59 -51.93 -0.29 1.28 16 6 C -0.13 -1.59 4.15 -26.59 -0.11 -1.70 16 7 C -0.11 -1.48 2.19 -91.58 -0.20 -1.68 16 8 H 0.09 1.11 7.07 -51.93 -0.37 0.74 16 9 C 0.51 8.70 5.75 -10.99 -0.06 8.63 16 10 O -0.55 -10.91 13.12 5.56 0.07 -10.84 16 11 N -0.59 -10.61 2.24 -171.16 -0.38 -10.99 16 12 C 0.09 1.55 4.38 -2.97 -0.01 1.54 16 13 C 0.13 2.44 4.27 -65.66 -0.28 2.16 16 14 H 0.08 1.33 8.14 -51.93 -0.42 0.91 16 15 C -0.12 -2.06 6.18 -25.25 -0.16 -2.22 16 16 C -0.14 -2.60 6.21 -25.03 -0.16 -2.76 16 17 C 0.17 3.73 3.15 -65.43 -0.21 3.52 16 18 H 0.12 3.06 6.27 -51.93 -0.33 2.74 16 19 C 0.11 2.37 5.86 -3.22 -0.02 2.35 16 20 N -0.58 -13.42 2.81 -152.35 -0.43 -13.85 16 21 C -0.23 -5.80 10.38 -15.06 -0.16 -5.96 16 22 H 0.08 1.89 7.85 -52.49 -0.41 1.48 16 23 C 0.00 -0.07 5.42 -17.43 -0.09 -0.17 16 24 N -0.91 -24.70 10.48 55.49 0.58 -24.12 16 25 Si 0.91 20.90 29.56 -169.99 -5.03 15.88 16 26 H -0.29 -6.66 7.11 56.52 0.40 -6.26 16 27 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 28 H -0.29 -6.78 7.11 56.52 0.40 -6.38 16 29 C -0.15 -1.79 5.35 -26.49 -0.14 -1.93 16 30 C 0.06 0.85 6.62 37.30 0.25 1.10 16 31 O -0.38 -5.48 9.74 -35.23 -0.34 -5.82 16 32 H 0.05 0.64 8.14 -51.93 -0.42 0.21 16 33 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 34 H 0.06 0.73 7.68 -51.93 -0.40 0.33 16 35 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 36 H 0.05 0.50 8.14 -51.93 -0.42 0.07 16 37 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 38 H 0.06 0.59 6.49 -51.93 -0.34 0.25 16 39 H 0.08 1.02 6.53 -51.93 -0.34 0.68 16 40 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 41 H 0.07 0.87 5.44 -51.93 -0.28 0.58 16 42 H 0.07 1.18 7.97 -51.93 -0.41 0.76 16 43 H 0.05 0.89 8.14 -51.93 -0.42 0.47 16 44 H 0.05 0.77 7.86 -51.93 -0.41 0.36 16 45 H 0.05 1.00 8.14 -51.93 -0.42 0.57 16 46 H 0.05 1.01 7.85 -51.93 -0.41 0.60 16 47 H 0.08 1.87 7.94 -51.93 -0.41 1.46 16 48 H 0.07 1.50 7.08 -51.93 -0.37 1.14 16 49 H 0.26 6.81 8.31 -40.82 -0.34 6.47 16 50 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 51 H 0.08 1.00 5.94 -51.93 -0.31 0.69 16 52 H 0.05 0.79 7.38 -51.93 -0.38 0.41 16 53 H 0.09 1.06 8.14 -51.93 -0.42 0.64 16 LS Contribution 384.52 15.07 5.79 5.79 Total: -1.00 -28.03 384.52 -9.95 -37.98 By element: Atomic # 1 Polarization: 14.96 SS G_CDS: -9.24 Total: 5.72 kcal Atomic # 6 Polarization: 1.23 SS G_CDS: -0.98 Total: 0.24 kcal Atomic # 7 Polarization: -48.73 SS G_CDS: -0.23 Total: -48.96 kcal Atomic # 8 Polarization: -16.39 SS G_CDS: -0.27 Total: -16.66 kcal Atomic # 14 Polarization: 20.90 SS G_CDS: -5.03 Total: 15.88 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -28.03 -9.95 -37.98 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. ZINC001029543606.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 -19.078 kcal (2) G-P(sol) polarization free energy of solvation -28.030 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -47.108 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.952 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.982 kcal (6) G-S(sol) free energy of system = (1) + (5) -57.059 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.29 seconds