Wall clock time and date at job start Wed Apr 1 2020 00:15:58 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 O 1.42902 * 1 3 3 C 1.42903 * 113.99830 * 2 1 4 4 C 1.53005 * 109.46923 * 180.02562 * 3 2 1 5 5 C 1.53001 * 109.46127 * 300.00013 * 4 3 2 6 6 N 1.46497 * 109.46981 * 59.99742 * 5 4 3 7 7 C 1.34775 * 120.00211 * 179.97438 * 6 5 4 8 8 O 1.21287 * 119.99782 * 0.02562 * 7 6 5 9 9 C 1.50701 * 120.00502 * 180.02562 * 7 6 5 10 10 H 1.08998 * 110.56437 * 21.59219 * 9 7 6 11 11 C 1.54503 * 110.51464 * 144.27512 * 9 7 6 12 12 C 1.54474 * 104.06644 * 118.64377 * 11 9 7 13 13 O 1.44426 * 104.90205 * 335.96745 * 12 11 9 14 14 C 1.44698 * 105.13693 * 40.49240 * 13 12 11 15 15 H 1.09001 * 110.35227 * 78.36343 * 14 13 12 16 16 C 1.52994 * 110.35462 * 200.67542 * 14 13 12 17 17 C 1.53036 * 109.45934 * 59.97346 * 4 3 2 18 18 C 1.53166 * 109.32778 * 181.38583 * 17 4 3 19 19 N 1.46930 * 108.76449 * 305.35706 * 18 17 4 20 20 C 1.36939 * 120.62957 * 233.62672 * 19 18 17 21 21 H 1.07997 * 120.00132 * 152.34057 * 20 19 18 22 22 C 1.38813 * 119.99982 * 332.35186 * 20 19 18 23 23 N 1.31615 * 119.99989 * 343.64602 * 22 20 19 24 24 Si 1.86803 * 120.00180 * 163.65694 * 22 20 19 25 25 H 1.48496 * 109.47240 * 59.99240 * 24 22 20 26 26 H 1.48499 * 109.47289 * 179.97438 * 24 22 20 27 27 H 1.48497 * 109.46700 * 299.99456 * 24 22 20 28 28 C 1.46921 * 118.73983 * 53.60742 * 19 18 17 29 29 C 1.53044 * 109.45795 * 180.02562 * 4 3 2 30 30 H 1.09000 * 109.46588 * 180.02562 * 1 2 3 31 31 H 1.08995 * 109.47090 * 299.99496 * 1 2 3 32 32 H 1.09001 * 109.47358 * 59.99876 * 1 2 3 33 33 H 1.08999 * 109.46950 * 60.00405 * 3 2 1 34 34 H 1.09000 * 109.47372 * 300.00354 * 3 2 1 35 35 H 1.09000 * 109.46693 * 300.00469 * 5 4 3 36 36 H 1.08993 * 109.47162 * 180.02562 * 5 4 3 37 37 H 0.97005 * 120.00663 * 0.02562 * 6 5 4 38 38 H 1.09002 * 110.51007 * 359.97438 * 11 9 7 39 39 H 1.09002 * 110.63008 * 237.35142 * 11 9 7 40 40 H 1.08998 * 110.37425 * 94.85095 * 12 11 9 41 41 H 1.09000 * 110.37495 * 217.08298 * 12 11 9 42 42 H 1.09001 * 109.46921 * 169.54050 * 16 14 13 43 43 H 1.08994 * 109.47550 * 289.54727 * 16 14 13 44 44 H 1.09000 * 109.46858 * 49.54636 * 16 14 13 45 45 H 1.09002 * 109.49990 * 301.32111 * 17 4 3 46 46 H 1.09006 * 109.50143 * 61.42092 * 17 4 3 47 47 H 1.08994 * 109.59249 * 185.57381 * 18 17 4 48 48 H 1.08997 * 109.59140 * 65.13488 * 18 17 4 49 49 H 0.96998 * 120.00193 * 180.02562 * 23 22 20 50 50 H 1.09002 * 109.58613 * 186.60219 * 28 19 18 51 51 H 1.09004 * 109.59024 * 66.18218 * 28 19 18 52 52 H 1.08999 * 109.49404 * 298.57968 * 29 4 3 53 53 H 1.09001 * 109.49682 * 58.67361 * 29 4 3 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5355 1.1847 -0.0006 5 6 3.9872 0.4252 1.2484 6 7 3.3912 -0.9131 1.2483 7 6 3.6507 -1.7665 2.2586 8 8 4.3775 -1.4264 3.1681 9 6 3.0381 -3.1434 2.2583 10 1 2.7457 -3.4321 1.2487 11 6 4.0234 -4.1745 2.8524 12 6 3.2862 -4.7271 4.0923 13 8 2.3518 -3.6897 4.4618 14 6 1.8220 -3.1948 3.2096 15 1 1.0656 -3.8772 2.8219 16 6 1.2327 -1.7954 3.3970 17 6 3.9862 0.4249 -1.2503 18 6 5.5104 0.2754 -1.2305 19 7 6.1140 1.6070 -1.0837 20 6 7.0590 2.0464 -1.9720 21 1 7.1758 3.1040 -2.1569 22 6 7.8666 1.1325 -2.6349 23 7 7.9604 -0.1040 -2.1939 24 14 8.8206 1.6578 -4.1527 25 1 9.7462 2.7632 -3.7975 26 1 9.6016 0.5055 -4.6698 27 1 7.8725 2.1222 -5.1969 28 6 5.6840 2.4582 0.0340 29 6 4.1577 2.5829 0.0000 30 1 -0.3632 -1.0277 0.0005 31 1 -0.3633 0.5137 0.8900 32 1 -0.3634 0.5138 -0.8900 33 1 1.6886 1.8463 0.8900 34 1 1.6886 1.8465 -0.8899 35 1 3.6658 0.9660 2.1385 36 1 5.0737 0.3394 1.2483 37 1 2.8102 -1.1853 0.5207 38 1 4.9539 -3.6886 3.1459 39 1 4.2204 -4.9735 2.1375 40 1 2.7543 -5.6445 3.8400 41 1 3.9914 -4.9090 4.9033 42 1 1.0083 -1.3622 2.4223 43 1 0.3170 -1.8625 3.9843 44 1 1.9530 -1.1647 3.9178 45 1 3.5244 -0.5624 -1.2621 46 1 3.6863 0.9780 -2.1404 47 1 5.8455 -0.1767 -2.1639 48 1 5.8051 -0.3538 -0.3907 49 1 8.5250 -0.7425 -2.6569 50 1 6.1337 3.4462 -0.0651 51 1 5.9929 2.0069 0.9769 52 1 3.8561 3.1157 -0.9019 53 1 3.8178 3.1319 0.8782 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 ZINC001162545687.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:15:58 Heat of formation + Delta-G solvation = -105.394321 kcal Electronic energy + Delta-G solvation = -32910.306129 eV Core-core repulsion = 28782.773629 eV Total energy + Delta-G solvation = -4127.532499 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.27 seconds Orbital eigenvalues (eV) -40.55950 -39.45175 -37.83777 -37.10850 -34.46264 -33.12096 -32.30812 -31.55645 -30.85604 -29.94054 -27.68819 -27.03192 -25.98952 -25.37787 -23.85973 -22.39000 -22.16248 -21.88064 -20.87510 -19.62759 -18.27913 -17.30376 -16.73618 -16.31963 -16.03690 -15.81532 -15.69346 -15.56456 -15.41758 -14.87335 -14.63340 -14.47932 -13.81434 -13.75380 -13.50208 -13.34482 -12.95924 -12.85748 -12.67737 -12.46995 -12.30598 -12.23706 -11.96433 -11.83315 -11.61900 -11.44806 -11.34188 -11.22684 -11.05557 -10.97256 -10.89618 -10.71759 -10.54016 -10.26250 -10.18033 -9.92136 -9.86900 -9.75049 -9.52729 -9.40156 -9.34842 -8.53176 -8.40628 -6.64388 -5.76640 -3.19330 2.93944 3.38765 3.39833 3.44673 3.45440 3.77628 3.84963 4.46015 4.50479 4.64245 4.85551 4.96007 4.98002 5.02598 5.08889 5.21819 5.24412 5.28080 5.29636 5.35772 5.40876 5.43924 5.47728 5.51959 5.53711 5.57835 5.66884 5.71870 5.72288 5.79308 5.83201 6.03201 6.06526 6.08678 6.13924 6.24479 6.38269 6.40707 6.61078 6.64254 6.71625 6.74796 6.82348 6.91120 7.00263 7.09313 7.39816 7.70836 7.80583 8.03066 8.46689 8.67059 9.23178 9.86524 10.42919 11.31445 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013399 B = 0.003560 C = 0.003089 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2089.271991 B = 7862.325024 C = 9061.857668 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.390 6.390 3 C 0.073 3.927 4 C -0.059 4.059 5 C 0.132 3.868 6 N -0.707 5.707 7 C 0.521 3.479 8 O -0.544 6.544 9 C -0.141 4.141 10 H 0.099 0.901 11 C -0.142 4.142 12 C 0.049 3.951 13 O -0.366 6.366 14 C 0.091 3.909 15 H 0.076 0.924 16 C -0.157 4.157 17 C -0.125 4.125 18 C 0.170 3.830 19 N -0.591 5.591 20 C -0.253 4.253 21 H 0.065 0.935 22 C 0.003 3.997 23 N -0.902 5.902 24 Si 0.902 3.098 25 H -0.283 1.283 26 H -0.291 1.291 27 H -0.285 1.285 28 C 0.143 3.857 29 C -0.119 4.119 30 H 0.082 0.918 31 H 0.038 0.962 32 H 0.040 0.960 33 H 0.046 0.954 34 H 0.050 0.950 35 H 0.054 0.946 36 H 0.083 0.917 37 H 0.407 0.593 38 H 0.092 0.908 39 H 0.081 0.919 40 H 0.057 0.943 41 H 0.092 0.908 42 H 0.077 0.923 43 H 0.061 0.939 44 H 0.071 0.929 45 H 0.054 0.946 46 H 0.055 0.945 47 H 0.087 0.913 48 H 0.021 0.979 49 H 0.254 0.746 50 H 0.055 0.945 51 H 0.022 0.978 52 H 0.065 0.935 53 H 0.054 0.946 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.519 -5.236 6.592 19.436 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 -0.064 4.064 2 O -0.309 6.309 3 C -0.004 4.004 4 C -0.059 4.059 5 C 0.009 3.991 6 N -0.363 5.363 7 C 0.306 3.694 8 O -0.422 6.422 9 C -0.163 4.163 10 H 0.117 0.883 11 C -0.180 4.180 12 C -0.028 4.028 13 O -0.285 6.285 14 C 0.033 3.967 15 H 0.093 0.907 16 C -0.214 4.214 17 C -0.164 4.164 18 C 0.045 3.955 19 N -0.314 5.314 20 C -0.383 4.383 21 H 0.082 0.918 22 C -0.195 4.195 23 N -0.546 5.546 24 Si 0.732 3.268 25 H -0.209 1.209 26 H -0.217 1.217 27 H -0.211 1.211 28 C 0.017 3.983 29 C -0.159 4.159 30 H 0.101 0.899 31 H 0.057 0.943 32 H 0.058 0.942 33 H 0.064 0.936 34 H 0.068 0.932 35 H 0.072 0.928 36 H 0.101 0.899 37 H 0.249 0.751 38 H 0.110 0.890 39 H 0.100 0.900 40 H 0.076 0.924 41 H 0.110 0.890 42 H 0.096 0.904 43 H 0.080 0.920 44 H 0.090 0.910 45 H 0.072 0.928 46 H 0.074 0.926 47 H 0.105 0.895 48 H 0.039 0.961 49 H 0.064 0.936 50 H 0.074 0.926 51 H 0.040 0.960 52 H 0.084 0.916 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges -16.824 -5.196 7.358 19.084 hybrid contribution 0.033 0.241 -1.464 1.484 sum -16.791 -4.955 5.894 18.472 Atomic orbital electron populations 1.22710 0.81486 1.02395 0.99858 1.87565 1.19195 1.28853 1.95318 1.22764 0.93950 0.83868 0.99796 1.20802 0.91362 0.97250 0.96514 1.21423 0.99457 0.82024 0.96216 1.46289 1.50108 1.14715 1.25169 1.20034 0.80953 0.86164 0.82210 1.90689 1.37701 1.77581 1.36192 1.22738 0.97278 0.94630 1.01666 0.88257 1.22931 0.99985 0.97737 0.97372 1.23352 0.91502 0.90598 0.97329 1.89222 1.58968 1.53119 1.27219 1.22847 0.93472 0.96523 0.83887 0.90651 1.21950 1.01448 0.94893 1.03080 1.22173 1.00915 0.98337 0.95013 1.20819 0.86304 0.86695 1.01732 1.44037 1.44830 1.14792 1.27703 1.19144 1.10502 0.92236 1.16406 0.91753 1.25024 0.97605 0.96545 1.00371 1.70017 1.40964 1.04158 1.39497 0.86383 0.79633 0.77412 0.83402 1.20931 1.21673 1.21114 1.20928 0.90600 0.95433 0.91381 1.21988 0.99341 0.93597 1.00977 0.89913 0.94324 0.94156 0.93601 0.93163 0.92790 0.89899 0.75125 0.88970 0.90042 0.92432 0.88994 0.90432 0.91965 0.91048 0.92784 0.92609 0.89456 0.96085 0.93620 0.92604 0.96004 0.91611 0.92744 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 0.03 0.26 11.01 101.05 1.11 1.38 16 2 O -0.39 -4.45 6.73 -35.23 -0.24 -4.68 16 3 C 0.07 0.90 4.80 37.16 0.18 1.08 16 4 C -0.06 -0.90 0.51 -154.46 -0.08 -0.98 16 5 C 0.13 2.21 3.80 -4.04 -0.02 2.19 16 6 N -0.71 -10.65 4.46 -60.30 -0.27 -10.92 16 7 C 0.52 8.34 4.77 -10.99 -0.05 8.29 16 8 O -0.54 -10.94 15.74 5.55 0.09 -10.85 16 9 C -0.14 -1.75 3.43 -90.20 -0.31 -2.06 16 10 H 0.10 1.00 8.11 -51.93 -0.42 0.58 16 11 C -0.14 -1.69 6.59 -25.17 -0.17 -1.86 16 12 C 0.05 0.53 7.62 37.93 0.29 0.82 16 13 O -0.37 -5.00 11.37 -35.23 -0.40 -5.40 16 14 C 0.09 1.04 3.84 -25.96 -0.10 0.94 16 15 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 16 C -0.16 -1.79 8.55 37.15 0.32 -1.47 16 17 C -0.13 -2.25 4.59 -26.63 -0.12 -2.37 16 18 C 0.17 3.94 4.84 -3.72 -0.02 3.92 16 19 N -0.59 -14.40 3.00 -172.34 -0.52 -14.92 16 20 C -0.25 -6.85 9.59 -15.06 -0.14 -7.00 16 21 H 0.06 1.71 7.88 -52.49 -0.41 1.29 16 22 C 0.00 0.09 4.94 -17.43 -0.09 0.00 16 23 N -0.90 -26.09 11.12 55.49 0.62 -25.47 16 24 Si 0.90 21.58 29.58 -169.99 -5.03 16.55 16 25 H -0.28 -6.72 7.11 56.52 0.40 -6.31 16 26 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 27 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 28 C 0.14 2.91 6.05 -3.72 -0.02 2.88 16 29 C -0.12 -1.92 4.91 -26.61 -0.13 -2.05 16 30 H 0.08 0.55 8.14 -51.93 -0.42 0.12 16 31 H 0.04 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.04 0.31 8.14 -51.93 -0.42 -0.11 16 33 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 34 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 35 H 0.05 0.89 8.14 -51.93 -0.42 0.47 16 36 H 0.08 1.70 4.98 -51.93 -0.26 1.44 16 37 H 0.41 5.57 4.68 -40.82 -0.19 5.38 16 38 H 0.09 1.34 7.07 -51.93 -0.37 0.97 16 39 H 0.08 0.78 8.14 -51.93 -0.42 0.36 16 40 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 41 H 0.09 0.93 8.14 -51.93 -0.42 0.51 16 42 H 0.08 0.80 7.87 -51.93 -0.41 0.39 16 43 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 44 H 0.07 1.03 7.15 -51.93 -0.37 0.66 16 45 H 0.05 0.90 6.50 -51.93 -0.34 0.57 16 46 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 47 H 0.09 2.31 6.00 -51.93 -0.31 2.00 16 48 H 0.02 0.53 6.69 -51.93 -0.35 0.18 16 49 H 0.25 7.14 8.31 -40.82 -0.34 6.80 16 50 H 0.06 1.11 7.93 -51.93 -0.41 0.70 16 51 H 0.02 0.47 6.69 -51.93 -0.35 0.12 16 52 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 53 H 0.05 0.75 8.14 -51.93 -0.42 0.32 16 LS Contribution 397.00 15.07 5.98 5.98 Total: -1.00 -32.21 397.00 -8.35 -40.56 By element: Atomic # 1 Polarization: 14.67 SS G_CDS: -9.24 Total: 5.42 kcal Atomic # 6 Polarization: 3.07 SS G_CDS: 0.65 Total: 3.73 kcal Atomic # 7 Polarization: -51.14 SS G_CDS: -0.17 Total: -51.31 kcal Atomic # 8 Polarization: -20.38 SS G_CDS: -0.55 Total: -20.93 kcal Atomic # 14 Polarization: 21.58 SS G_CDS: -5.03 Total: 16.55 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -32.21 -8.35 -40.56 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. ZINC001162545687.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 -64.833 kcal (2) G-P(sol) polarization free energy of solvation -32.208 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.041 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.353 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.561 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.394 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.27 seconds