Wall clock time and date at job start Wed Apr 1 2020 00:20:16 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 1.53008 * 1 3 3 C 1.53002 * 109.47090 * 2 1 4 4 O 1.42901 * 109.47013 * 120.00003 * 2 1 3 5 5 C 1.42902 * 113.99640 * 150.00168 * 4 2 1 6 6 C 1.53000 * 109.46728 * 180.02562 * 5 4 2 7 7 C 1.50705 * 109.46807 * 179.97438 * 6 5 4 8 8 O 1.21280 * 120.00124 * 0.02562 * 7 6 5 9 9 N 1.34780 * 119.99783 * 179.97438 * 7 6 5 10 10 C 1.47166 * 121.05963 * 0.02562 * 9 7 6 11 11 C 1.53286 * 108.54059 * 128.86012 * 10 9 7 12 12 H 1.09003 * 109.50868 * 292.95798 * 11 10 9 13 13 C 1.53003 * 109.55055 * 172.84041 * 11 10 9 14 14 O 1.43093 * 109.23050 * 52.88974 * 11 10 9 15 15 C 1.42069 * 114.33034 * 298.83179 * 14 11 10 16 16 C 1.54507 * 110.33829 * 298.05517 * 15 14 11 17 17 C 1.55021 * 101.52142 * 276.06209 * 16 15 14 18 18 N 1.47486 * 104.89963 * 323.62202 * 17 16 15 19 19 C 1.36936 * 125.66009 * 203.75549 * 18 17 16 20 20 H 1.08004 * 119.99642 * 180.02562 * 19 18 17 21 21 C 1.38811 * 120.00613 * 0.02787 * 19 18 17 22 22 N 1.31620 * 119.99672 * 359.97438 * 21 19 18 23 23 Si 1.86799 * 120.00440 * 179.97438 * 21 19 18 24 24 H 1.48502 * 109.46807 * 59.99590 * 23 21 19 25 25 H 1.48494 * 109.46963 * 179.97438 * 23 21 19 26 26 H 1.48497 * 109.46971 * 300.00068 * 23 21 19 27 27 C 1.47187 * 108.67410 * 24.01852 * 18 17 16 28 28 C 1.47301 * 121.06036 * 179.97438 * 9 7 6 29 29 H 1.08996 * 109.46730 * 299.99840 * 1 2 3 30 30 H 1.09000 * 109.46911 * 60.00030 * 1 2 3 31 31 H 1.09004 * 109.46775 * 179.97438 * 1 2 3 32 32 H 1.08997 * 109.47252 * 240.00177 * 2 1 3 33 33 H 1.09004 * 109.46892 * 300.00155 * 3 2 1 34 34 H 1.08997 * 109.46929 * 59.99979 * 3 2 1 35 35 H 1.08995 * 109.47127 * 179.97438 * 3 2 1 36 36 H 1.08996 * 109.47170 * 59.99818 * 5 4 2 37 37 H 1.08997 * 109.47229 * 299.99764 * 5 4 2 38 38 H 1.08996 * 109.47512 * 59.99944 * 6 5 4 39 39 H 1.08999 * 109.47144 * 299.99306 * 6 5 4 40 40 H 1.08989 * 109.62567 * 9.14048 * 10 9 7 41 41 H 1.09001 * 109.62015 * 248.57292 * 10 9 7 42 42 H 1.09000 * 109.47093 * 300.22079 * 13 11 10 43 43 H 1.09001 * 109.47073 * 60.22104 * 13 11 10 44 44 H 1.08993 * 109.47141 * 180.22256 * 13 11 10 45 45 H 1.08997 * 111.01659 * 158.00471 * 16 15 14 46 46 H 1.08998 * 111.05101 * 34.13579 * 16 15 14 47 47 H 1.09003 * 110.35482 * 204.76577 * 17 16 15 48 48 H 1.09000 * 110.35770 * 82.47947 * 17 16 15 49 49 H 0.97001 * 119.99924 * 180.02562 * 22 21 19 50 50 H 1.08998 * 109.90703 * 117.86416 * 27 18 17 51 51 H 1.09002 * 109.91041 * 239.13228 * 27 18 17 52 52 H 1.09002 * 109.67499 * 109.68468 * 28 9 7 53 53 H 1.09001 * 109.67991 * 349.14554 * 28 9 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 8 2.0064 -0.6736 1.1668 5 6 3.2661 -1.3244 0.9886 6 6 3.6755 -2.0091 2.2941 7 6 5.0036 -2.6960 2.1060 8 8 5.5674 -2.6427 1.0335 9 7 5.5654 -3.3686 3.1300 10 6 4.9021 -3.4478 4.4413 11 6 4.8401 -4.9187 4.8682 12 1 4.1723 -5.4636 4.2009 13 6 4.3179 -5.0138 6.3032 14 8 6.1522 -5.4854 4.7985 15 6 6.7268 -5.4733 3.4992 16 6 5.8741 -6.3190 2.5271 17 6 6.4163 -7.7454 2.8004 18 7 7.8597 -7.5626 3.0421 19 6 8.8243 -8.5203 2.8765 20 1 9.8586 -8.2860 3.0815 21 6 8.4731 -9.7921 2.4453 22 7 7.2127 -10.0777 2.1960 23 14 9.7892 -11.0983 2.2188 24 1 10.4788 -11.3356 3.5125 25 1 9.1592 -12.3605 1.7552 26 1 10.7758 -10.6369 1.2094 27 6 8.0902 -6.1819 3.4968 28 6 6.8623 -4.0489 2.9719 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 1.8934 -0.5138 -0.8900 33 1 1.6767 1.9563 -0.8900 34 1 1.6767 1.9563 0.8900 35 1 3.1300 1.4425 0.0005 36 1 4.0200 -0.5873 0.7124 37 1 3.1810 -2.0706 0.1986 38 1 2.9215 -2.7463 2.5699 39 1 3.7605 -1.2632 3.0844 40 1 3.8919 -3.0457 4.3654 41 1 5.4720 -2.8774 5.1748 42 1 4.9852 -4.4673 6.9696 43 1 3.3185 -4.5820 6.3555 44 1 4.2781 -6.0599 6.6067 45 1 6.0527 -6.0245 1.4930 46 1 4.8147 -6.2496 2.7737 47 1 6.2552 -8.3849 1.9325 48 1 5.9354 -8.1716 3.6809 49 1 6.9672 -10.9666 1.8951 50 1 8.5074 -6.1876 4.5038 51 1 8.7709 -5.6746 2.8131 52 1 7.6266 -3.5186 3.5401 53 1 7.1384 -4.0726 1.9177 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 ZINC001131629094.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 00:20:16 Heat of formation + Delta-G solvation = -96.665188 kcal Electronic energy + Delta-G solvation = -31353.776536 eV Core-core repulsion = 27226.622560 eV Total energy + Delta-G solvation = -4127.153976 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -40.70145 -39.11535 -38.36773 -36.38384 -34.67419 -33.69111 -33.09314 -31.37054 -31.14890 -29.25343 -28.47686 -27.57868 -26.54192 -25.85366 -24.17528 -22.92243 -21.97161 -21.64632 -20.16142 -19.60556 -18.88136 -17.70525 -17.05398 -16.64453 -16.57381 -16.28717 -15.83643 -15.20454 -15.13688 -14.77746 -14.49286 -14.33484 -14.05725 -13.87467 -13.43495 -13.34723 -13.13695 -12.83716 -12.77961 -12.56831 -12.52164 -12.34414 -12.31840 -12.16227 -12.01368 -11.71823 -11.57586 -11.54872 -11.42652 -11.03626 -10.97352 -10.92448 -10.84655 -10.50322 -10.29082 -10.10270 -10.02183 -9.83306 -9.78187 -9.60058 -9.49971 -8.62446 -8.39489 -6.81975 -5.62685 -3.04364 2.51382 2.67687 3.43036 3.43599 3.46634 3.48270 3.81474 4.40213 4.49897 4.52512 4.64019 4.66905 4.76105 4.78865 4.86217 4.91164 5.03552 5.12035 5.14817 5.22065 5.24335 5.30520 5.36560 5.44454 5.47290 5.49342 5.51685 5.52670 5.56500 5.58748 5.60880 5.75145 5.82690 5.83671 5.87822 5.92698 5.95957 6.12954 6.22273 6.32070 6.52881 6.53471 6.60485 6.68786 6.95039 7.27463 7.54695 7.61723 7.65713 7.87245 8.04561 8.36913 9.23686 9.84124 10.49114 11.41513 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016820 B = 0.002432 C = 0.002295 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1664.242746 B =11508.881674 C =12198.428382 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 0.082 3.918 3 C -0.176 4.176 4 O -0.387 6.387 5 C 0.078 3.922 6 C -0.138 4.138 7 C 0.521 3.479 8 O -0.540 6.540 9 N -0.610 5.610 10 C 0.077 3.923 11 C 0.068 3.932 12 H 0.067 0.933 13 C -0.141 4.141 14 O -0.352 6.352 15 C 0.096 3.904 16 C -0.165 4.165 17 C 0.161 3.839 18 N -0.602 5.602 19 C -0.221 4.221 20 H 0.078 0.922 21 C -0.012 4.012 22 N -0.923 5.923 23 Si 0.916 3.084 24 H -0.285 1.285 25 H -0.290 1.290 26 H -0.285 1.285 27 C 0.154 3.846 28 C 0.098 3.902 29 H 0.063 0.937 30 H 0.068 0.932 31 H 0.062 0.938 32 H 0.061 0.939 33 H 0.064 0.936 34 H 0.063 0.937 35 H 0.057 0.943 36 H 0.057 0.943 37 H 0.059 0.941 38 H 0.102 0.898 39 H 0.100 0.900 40 H 0.092 0.908 41 H 0.078 0.922 42 H 0.064 0.936 43 H 0.070 0.930 44 H 0.070 0.930 45 H 0.068 0.932 46 H 0.060 0.940 47 H 0.105 0.895 48 H 0.014 0.986 49 H 0.252 0.748 50 H 0.037 0.963 51 H 0.039 0.961 52 H 0.072 0.928 53 H 0.103 0.897 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.146 21.015 1.894 24.861 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 -0.207 4.207 2 C 0.024 3.976 3 C -0.233 4.233 4 O -0.306 6.306 5 C 0.001 3.999 6 C -0.178 4.178 7 C 0.309 3.691 8 O -0.417 6.417 9 N -0.343 5.343 10 C -0.046 4.046 11 C 0.009 3.991 12 H 0.085 0.915 13 C -0.199 4.199 14 O -0.271 6.271 15 C 0.055 3.945 16 C -0.204 4.204 17 C 0.036 3.964 18 N -0.328 5.328 19 C -0.350 4.350 20 H 0.096 0.904 21 C -0.207 4.207 22 N -0.571 5.571 23 Si 0.747 3.253 24 H -0.212 1.212 25 H -0.216 1.216 26 H -0.211 1.211 27 C 0.027 3.973 28 C -0.024 4.024 29 H 0.082 0.918 30 H 0.087 0.913 31 H 0.081 0.919 32 H 0.080 0.920 33 H 0.083 0.917 34 H 0.082 0.918 35 H 0.076 0.924 36 H 0.075 0.925 37 H 0.077 0.923 38 H 0.120 0.880 39 H 0.119 0.881 40 H 0.110 0.890 41 H 0.096 0.904 42 H 0.083 0.917 43 H 0.088 0.912 44 H 0.089 0.911 45 H 0.086 0.914 46 H 0.078 0.922 47 H 0.123 0.877 48 H 0.032 0.968 49 H 0.063 0.937 50 H 0.055 0.945 51 H 0.057 0.943 52 H 0.090 0.910 53 H 0.121 0.879 Dipole moment (debyes) X Y Z Total from point charges -12.823 20.742 1.576 24.437 hybrid contribution 0.630 -0.548 -0.335 0.900 sum -12.193 20.194 1.242 23.622 Atomic orbital electron populations 1.21867 0.93563 1.02790 1.02455 1.22074 0.94928 0.92413 0.88194 1.22305 1.01724 0.96777 1.02512 1.87837 1.36710 1.70152 1.35947 1.22149 0.85372 0.95991 0.96370 1.21488 0.95262 1.01145 0.99865 1.20344 0.86646 0.78636 0.83498 1.90718 1.64314 1.61199 1.25490 1.48157 1.22113 1.52460 1.11594 1.22560 0.98675 0.98677 0.84699 1.22462 0.86796 0.91577 0.98264 0.91485 1.21700 1.00403 1.03654 0.94151 1.87917 1.29427 1.81131 1.28600 1.22278 0.96205 0.92554 0.83442 1.23502 0.98188 1.00299 0.98402 1.21873 0.82672 0.90536 1.01280 1.44499 1.03910 1.06477 1.77911 1.19023 0.88115 0.89919 1.37901 0.90415 1.24791 0.96521 0.97472 1.01911 1.69799 1.14728 1.20377 1.52219 0.86126 0.80384 0.80928 0.77900 1.21205 1.21607 1.21136 1.21055 0.90986 0.87203 0.98017 1.22204 0.83921 0.92493 1.03792 0.91809 0.91275 0.91913 0.92043 0.91657 0.91807 0.92385 0.92476 0.92292 0.88008 0.88130 0.88985 0.90362 0.91725 0.91162 0.91111 0.91367 0.92182 0.87743 0.96784 0.93703 0.94537 0.94291 0.90986 0.87860 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.00 9.56 37.16 0.36 -0.65 16 2 C 0.08 0.67 3.34 -26.73 -0.09 0.58 16 3 C -0.18 -1.25 9.53 37.16 0.35 -0.90 16 4 O -0.39 -3.96 9.99 -35.23 -0.35 -4.31 16 5 C 0.08 0.83 5.04 37.16 0.19 1.01 16 6 C -0.14 -1.37 4.44 -27.88 -0.12 -1.49 16 7 C 0.52 7.06 7.71 -10.98 -0.08 6.98 16 8 O -0.54 -9.27 15.47 5.56 0.09 -9.19 16 9 N -0.61 -8.14 2.91 -172.64 -0.50 -8.64 16 10 C 0.08 0.81 5.82 -3.53 -0.02 0.79 16 11 C 0.07 0.87 3.17 -26.58 -0.08 0.79 16 12 H 0.07 0.92 6.13 -51.93 -0.32 0.60 16 13 C -0.14 -1.43 9.57 37.16 0.36 -1.08 16 14 O -0.35 -6.13 9.87 -35.23 -0.35 -6.48 16 15 C 0.10 1.75 0.83 -89.75 -0.07 1.68 16 16 C -0.17 -3.31 5.91 -24.87 -0.15 -3.46 16 17 C 0.16 4.05 5.88 -2.44 -0.01 4.04 16 18 N -0.60 -15.83 3.40 -170.23 -0.58 -16.41 16 19 C -0.22 -6.27 10.28 -15.06 -0.15 -6.43 16 20 H 0.08 2.11 7.83 -52.48 -0.41 1.70 16 21 C -0.01 -0.33 5.49 -17.43 -0.10 -0.43 16 22 N -0.92 -27.35 10.10 55.49 0.56 -26.79 16 23 Si 0.92 22.38 29.55 -169.99 -5.02 17.35 16 24 H -0.29 -6.88 7.11 56.52 0.40 -6.47 16 25 H -0.29 -7.13 7.11 56.52 0.40 -6.72 16 26 H -0.28 -6.84 7.11 56.52 0.40 -6.43 16 27 C 0.15 3.31 6.61 -3.33 -0.02 3.29 16 28 C 0.10 1.54 5.16 -3.87 -0.02 1.52 16 29 H 0.06 0.43 8.14 -51.93 -0.42 0.00 16 30 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 31 H 0.06 0.44 8.14 -51.93 -0.42 0.01 16 32 H 0.06 0.49 7.79 -51.93 -0.40 0.09 16 33 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 35 H 0.06 0.44 7.87 -51.93 -0.41 0.03 16 36 H 0.06 0.62 7.83 -51.93 -0.41 0.22 16 37 H 0.06 0.67 8.04 -51.93 -0.42 0.26 16 38 H 0.10 0.89 7.67 -51.93 -0.40 0.49 16 39 H 0.10 0.82 8.01 -51.93 -0.42 0.40 16 40 H 0.09 0.70 6.05 -51.94 -0.31 0.39 16 41 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 42 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 43 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 44 H 0.07 0.81 8.14 -51.93 -0.42 0.38 16 45 H 0.07 1.41 7.86 -51.93 -0.41 1.00 16 46 H 0.06 1.10 5.98 -51.93 -0.31 0.79 16 47 H 0.10 2.94 5.90 -51.93 -0.31 2.64 16 48 H 0.01 0.38 8.14 -51.93 -0.42 -0.04 16 49 H 0.25 7.26 8.31 -40.82 -0.34 6.92 16 50 H 0.04 0.80 8.06 -51.93 -0.42 0.38 16 51 H 0.04 0.81 7.79 -51.93 -0.40 0.40 16 52 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 53 H 0.10 1.78 6.89 -51.93 -0.36 1.42 16 LS Contribution 408.53 15.07 6.16 6.16 Total: -1.00 -33.27 408.53 -9.17 -42.44 By element: Atomic # 1 Polarization: 9.09 SS G_CDS: -9.49 Total: -0.39 kcal Atomic # 6 Polarization: 5.94 SS G_CDS: 0.32 Total: 6.26 kcal Atomic # 7 Polarization: -51.32 SS G_CDS: -0.52 Total: -51.84 kcal Atomic # 8 Polarization: -19.36 SS G_CDS: -0.61 Total: -19.97 kcal Atomic # 14 Polarization: 22.38 SS G_CDS: -5.02 Total: 17.35 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -33.27 -9.17 -42.44 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. ZINC001131629094.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 -54.223 kcal (2) G-P(sol) polarization free energy of solvation -33.274 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.497 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.168 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.442 kcal (6) G-S(sol) free energy of system = (1) + (5) -96.665 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds