Wall clock time and date at job start Sat Apr 11 2020 06:13:10 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 1.53000 * 1 3 3 H 1.09001 * 109.46854 * 2 1 4 4 C 1.53004 * 109.46705 * 119.99455 * 2 1 3 5 5 N 1.46904 * 109.46709 * 174.05140 * 4 2 1 6 6 C 1.46905 * 110.99597 * 193.88708 * 5 4 2 7 7 C 1.46899 * 111.00078 * 69.93563 * 5 4 2 8 8 C 1.50697 * 109.46878 * 189.99825 * 7 5 4 9 9 O 1.21291 * 120.00351 * 359.97438 * 8 7 5 10 10 N 1.34779 * 119.99996 * 179.97438 * 8 7 5 11 11 C 1.37093 * 120.00183 * 179.97438 * 10 8 7 12 12 H 1.08005 * 119.99972 * 0.02562 * 11 10 8 13 13 C 1.38947 * 120.00272 * 180.02562 * 11 10 8 14 14 N 1.31419 * 119.99994 * 0.02562 * 13 11 10 15 15 Si 1.86802 * 120.00234 * 180.02562 * 13 11 10 16 16 H 1.48497 * 109.47449 * 89.99994 * 15 13 11 17 17 H 1.48503 * 109.46864 * 210.00033 * 15 13 11 18 18 H 1.48500 * 109.46790 * 329.99748 * 15 13 11 19 19 N 1.46493 * 109.47343 * 239.99636 * 2 1 3 20 20 C 1.34772 * 120.00136 * 82.29205 * 19 2 1 21 21 O 1.21275 * 120.00422 * 5.17858 * 20 19 2 22 22 C 1.50706 * 119.99930 * 185.17744 * 20 19 2 23 23 N 1.46894 * 112.84757 * 170.40796 * 22 20 19 24 24 C 1.46903 * 111.00357 * 301.90169 * 23 22 20 25 25 C 1.46897 * 111.00022 * 65.85587 * 23 22 20 26 26 C 1.53787 * 113.61289 * 39.10673 * 22 20 19 27 27 C 1.53779 * 87.07870 * 220.01655 * 26 22 20 28 28 C 1.53775 * 113.61603 * 301.60719 * 22 20 19 29 29 H 1.09000 * 109.47496 * 300.00607 * 1 2 3 30 30 H 1.09006 * 109.46765 * 60.00524 * 1 2 3 31 31 H 1.09004 * 109.47141 * 180.02562 * 1 2 3 32 32 H 1.08990 * 109.47009 * 54.05043 * 4 2 1 33 33 H 1.09001 * 109.47373 * 294.04799 * 4 2 1 34 34 H 1.09000 * 109.47067 * 65.04927 * 6 5 4 35 35 H 1.09004 * 109.46791 * 185.04769 * 6 5 4 36 36 H 1.09000 * 109.47056 * 305.04952 * 6 5 4 37 37 H 1.08996 * 109.47041 * 309.99647 * 7 5 4 38 38 H 1.08998 * 109.47128 * 69.99928 * 7 5 4 39 39 H 0.96999 * 120.00039 * 0.02562 * 10 8 7 40 40 H 0.96991 * 120.00056 * 180.02562 * 14 13 11 41 41 H 0.97005 * 119.99999 * 262.29077 * 19 2 1 42 42 H 1.08991 * 109.47008 * 65.63428 * 24 23 22 43 43 H 1.09003 * 109.47336 * 185.63681 * 24 23 22 44 44 H 1.08998 * 109.47234 * 305.63070 * 24 23 22 45 45 H 1.09004 * 109.47172 * 60.00019 * 25 23 22 46 46 H 1.09006 * 109.47839 * 179.97438 * 25 23 22 47 47 H 1.09000 * 109.47378 * 299.99840 * 25 23 22 48 48 H 1.09000 * 113.61190 * 334.56338 * 26 22 20 49 49 H 1.09001 * 113.61445 * 105.46592 * 26 22 20 50 50 H 1.09001 * 113.61456 * 270.88598 * 27 26 22 51 51 H 1.08999 * 113.68858 * 139.99406 * 27 26 22 52 52 H 1.08997 * 113.61725 * 254.52936 * 28 22 20 53 53 H 1.08998 * 113.61302 * 25.35300 * 28 22 20 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 1 1.8933 1.0277 0.0000 4 6 2.0399 -0.7212 1.2494 5 7 3.5019 -0.8467 1.1798 6 6 3.9958 -1.8063 2.1764 7 6 4.1509 0.4612 1.3414 8 6 5.6185 0.3365 1.0225 9 8 6.0786 -0.7364 0.6934 10 7 6.4198 1.4172 1.1029 11 6 7.7549 1.3037 0.8133 12 1 8.1646 0.3483 0.5202 13 6 8.5811 2.4178 0.8967 14 7 8.0828 3.5802 1.2538 15 14 10.4003 2.2632 0.5014 16 1 10.6161 2.5203 -0.9452 17 1 11.1662 3.2538 1.2998 18 1 10.8647 0.8928 0.8353 19 7 2.0184 -0.6906 -1.1960 20 6 2.0954 -0.0328 -2.3698 21 8 1.8506 1.1540 -2.4171 22 6 2.4859 -0.7721 -3.6237 23 7 2.3051 0.0320 -4.8396 24 6 0.9105 0.4728 -4.9768 25 6 3.2234 1.1785 -4.8540 26 6 1.8817 -2.1830 -3.7204 27 6 3.2365 -2.6390 -4.2872 28 6 3.8619 -1.4529 -3.5342 29 1 -0.3634 0.5139 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3633 -1.0277 0.0005 32 1 1.5922 -1.7133 1.3043 33 1 1.7662 -0.1494 2.1361 34 1 3.6231 -2.8024 1.9376 35 1 5.0858 -1.8138 2.1645 36 1 3.6452 -1.5148 3.1664 37 1 3.6917 1.1809 0.6638 38 1 4.0303 0.8020 2.3697 39 1 6.0519 2.2752 1.3665 40 1 8.6594 4.3579 1.3117 41 1 2.2863 -1.6215 -1.1432 42 1 0.6648 1.1585 -4.1660 43 1 0.7822 0.9800 -5.9331 44 1 0.2498 -0.3930 -4.9333 45 1 4.2524 0.8203 -4.8216 46 1 3.0689 1.7566 -5.7651 47 1 3.0308 1.8092 -3.9861 48 1 1.6431 -2.6231 -2.7522 49 1 1.0617 -2.2588 -4.4346 50 1 3.3071 -2.5538 -5.3716 51 1 3.5612 -3.6114 -3.9170 52 1 4.6406 -0.9393 -4.0981 53 1 4.1652 -1.6921 -2.5150 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 ZINC001268734568.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 06:13:10 Heat of formation + Delta-G solvation = -28.526907 kcal Electronic energy + Delta-G solvation = -32261.462475 eV Core-core repulsion = 28169.555948 eV Total energy + Delta-G solvation = -4091.906527 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.93381 -38.89843 -37.96173 -36.80948 -35.33307 -34.28165 -33.71150 -31.23221 -30.96973 -28.05981 -27.91620 -26.99469 -26.48893 -25.23973 -24.69509 -23.33070 -22.37708 -21.26599 -20.54724 -19.10938 -18.88879 -17.83712 -17.38280 -16.44711 -16.19093 -15.70452 -15.35714 -15.00360 -14.79431 -14.72103 -14.42799 -14.25959 -13.97222 -13.92049 -13.72240 -13.60970 -13.44215 -12.88621 -12.56815 -12.44986 -12.17223 -12.09078 -11.99076 -11.91937 -11.76333 -11.71316 -11.50038 -11.48718 -11.43067 -11.30191 -11.18706 -11.02100 -10.72286 -10.61616 -10.38996 -10.26212 -10.20911 -9.94961 -9.46243 -8.87939 -8.45243 -8.09424 -7.97911 -7.89208 -6.40280 -3.81163 2.70373 3.18432 3.26460 3.27272 3.32360 3.81637 3.90816 3.97944 4.23623 4.48652 4.56565 4.68123 4.79595 4.84737 5.07522 5.08639 5.14542 5.20864 5.28288 5.32607 5.40354 5.52195 5.54949 5.57982 5.60291 5.65572 5.67315 5.70725 5.74502 5.83875 5.86954 5.90975 5.95969 5.96726 6.00824 6.03422 6.08481 6.13302 6.23596 6.28620 6.29855 6.46906 6.66281 6.97027 6.97281 7.21331 7.31609 7.56046 7.68939 8.07152 8.39639 8.62682 9.19114 9.55777 10.07123 10.77499 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.010011 B = 0.003691 C = 0.003155 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2796.230430 B = 7585.083756 C = 8872.410132 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.159 4.159 2 C 0.143 3.857 3 H 0.085 0.915 4 C 0.044 3.956 5 N -0.514 5.514 6 C 0.024 3.976 7 C 0.043 3.957 8 C 0.446 3.554 9 O -0.578 6.578 10 N -0.564 5.564 11 C -0.298 4.298 12 H 0.103 0.897 13 C 0.023 3.977 14 N -0.901 5.901 15 Si 0.929 3.071 16 H -0.278 1.278 17 H -0.284 1.284 18 H -0.270 1.270 19 N -0.701 5.701 20 C 0.505 3.495 21 O -0.547 6.547 22 C 0.062 3.938 23 N -0.498 5.498 24 C 0.012 3.988 25 C 0.009 3.991 26 C -0.120 4.120 27 C -0.125 4.125 28 C -0.121 4.121 29 H 0.064 0.936 30 H 0.060 0.940 31 H 0.056 0.944 32 H 0.079 0.921 33 H 0.047 0.953 34 H 0.060 0.940 35 H 0.095 0.905 36 H 0.013 0.987 37 H 0.086 0.914 38 H 0.046 0.954 39 H 0.391 0.609 40 H 0.271 0.729 41 H 0.403 0.597 42 H 0.051 0.949 43 H 0.065 0.935 44 H 0.060 0.940 45 H 0.067 0.933 46 H 0.064 0.936 47 H 0.058 0.942 48 H 0.085 0.915 49 H 0.076 0.924 50 H 0.087 0.913 51 H 0.069 0.931 52 H 0.079 0.921 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.564 -9.286 -5.781 19.850 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 0.038 3.962 3 H 0.103 0.897 4 C -0.085 4.085 5 N -0.238 5.238 6 C -0.124 4.124 7 C -0.088 4.088 8 C 0.231 3.769 9 O -0.462 6.462 10 N -0.200 5.200 11 C -0.428 4.428 12 H 0.121 0.879 13 C -0.179 4.179 14 N -0.543 5.543 15 Si 0.756 3.244 16 H -0.204 1.204 17 H -0.210 1.210 18 H -0.194 1.194 19 N -0.353 5.353 20 C 0.290 3.710 21 O -0.426 6.426 22 C -0.032 4.032 23 N -0.220 5.220 24 C -0.136 4.136 25 C -0.139 4.139 26 C -0.158 4.158 27 C -0.162 4.162 28 C -0.159 4.159 29 H 0.083 0.917 30 H 0.079 0.921 31 H 0.075 0.925 32 H 0.097 0.903 33 H 0.065 0.935 34 H 0.079 0.921 35 H 0.114 0.886 36 H 0.032 0.968 37 H 0.104 0.896 38 H 0.064 0.936 39 H 0.224 0.776 40 H 0.081 0.919 41 H 0.238 0.762 42 H 0.069 0.931 43 H 0.084 0.916 44 H 0.079 0.921 45 H 0.085 0.915 46 H 0.083 0.917 47 H 0.077 0.923 48 H 0.104 0.896 49 H 0.095 0.905 50 H 0.106 0.894 51 H 0.088 0.912 52 H 0.098 0.902 53 H 0.116 0.884 Dipole moment (debyes) X Y Z Total from point charges -16.099 -9.443 -6.886 19.894 hybrid contribution 0.369 1.172 1.586 2.007 sum -15.730 -8.271 -5.300 18.545 Atomic orbital electron populations 1.22133 0.95237 1.01969 1.02473 1.20944 0.93135 0.97808 0.84334 0.89657 1.22476 0.89287 1.00727 0.96036 1.61562 1.02732 1.08866 1.50650 1.22517 1.03933 0.94914 0.91037 1.21908 0.95488 0.91355 1.00064 1.19672 0.86967 0.85405 0.84855 1.90473 1.75887 1.27409 1.52475 1.41870 1.08555 1.09703 1.59871 1.19673 0.83077 0.97103 1.42915 0.87948 1.25256 1.00566 0.94744 0.97330 1.69616 1.36837 0.99960 1.47846 0.85877 0.81956 0.78173 0.78397 1.20381 1.20956 1.19430 1.45873 1.65755 1.15679 1.07948 1.21488 0.76372 0.87632 0.85472 1.90603 1.50336 1.15375 1.86258 1.22447 1.00095 0.93438 0.87234 1.62332 1.05917 1.22146 1.31635 1.22490 0.88853 1.00364 1.01859 1.22553 0.96510 0.92592 1.02214 1.22972 0.98397 0.92749 1.01705 1.22712 0.95015 0.97751 1.00739 1.23045 0.94192 0.96304 1.02387 0.91735 0.92074 0.92471 0.90278 0.93536 0.92148 0.88613 0.96825 0.89577 0.93600 0.77576 0.91885 0.76160 0.93061 0.91592 0.92103 0.91474 0.91699 0.92335 0.89614 0.90518 0.89414 0.91230 0.90227 0.88386 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 -0.16 -1.58 9.45 37.16 0.35 -1.23 16 2 C 0.14 1.75 2.47 -67.93 -0.17 1.58 16 3 H 0.09 1.28 6.21 -51.93 -0.32 0.96 16 4 C 0.04 0.50 4.51 -3.82 -0.02 0.49 16 5 N -0.51 -7.86 4.17 -244.37 -1.02 -8.88 16 6 C 0.02 0.35 9.21 60.07 0.55 0.91 16 7 C 0.04 0.77 5.31 -4.98 -0.03 0.75 16 8 C 0.45 10.42 7.42 -10.99 -0.08 10.34 16 9 O -0.58 -15.02 13.96 5.55 0.08 -14.94 16 10 N -0.56 -14.40 5.29 -10.96 -0.06 -14.46 16 11 C -0.30 -8.32 9.68 -14.94 -0.14 -8.46 16 12 H 0.10 2.98 7.16 -52.48 -0.38 2.61 16 13 C 0.02 0.61 5.50 -17.47 -0.10 0.52 16 14 N -0.90 -24.84 13.05 55.50 0.72 -24.12 16 15 Si 0.93 21.19 29.55 -169.99 -5.02 16.16 16 16 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 17 H -0.28 -6.34 7.11 56.52 0.40 -5.94 16 18 H -0.27 -6.10 7.11 56.52 0.40 -5.70 16 19 N -0.70 -8.85 4.45 -53.81 -0.24 -9.09 16 20 C 0.51 7.34 6.44 -10.98 -0.07 7.27 16 21 O -0.55 -9.63 12.01 5.56 0.07 -9.56 16 22 C 0.06 0.78 0.41 -131.94 -0.05 0.72 16 23 N -0.50 -6.40 4.81 -235.80 -1.13 -7.53 16 24 C 0.01 0.15 9.10 60.07 0.55 0.69 16 25 C 0.01 0.12 9.17 60.06 0.55 0.68 16 26 C -0.12 -1.17 7.02 -25.92 -0.18 -1.35 16 27 C -0.12 -1.25 8.00 -25.92 -0.21 -1.45 16 28 C -0.12 -1.55 7.07 -25.92 -0.18 -1.73 16 29 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 30 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 31 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.08 0.77 8.03 -51.93 -0.42 0.35 16 33 H 0.05 0.51 8.08 -51.93 -0.42 0.09 16 34 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 35 H 0.10 1.79 5.79 -51.93 -0.30 1.49 16 36 H 0.01 0.18 8.13 -51.93 -0.42 -0.24 16 37 H 0.09 1.54 6.40 -51.93 -0.33 1.21 16 38 H 0.05 0.76 8.12 -51.93 -0.42 0.34 16 39 H 0.39 9.75 7.90 -40.82 -0.32 9.43 16 40 H 0.27 7.08 8.31 -40.82 -0.34 6.75 16 41 H 0.40 4.63 6.97 -40.82 -0.28 4.35 16 42 H 0.05 0.71 6.02 -51.93 -0.31 0.40 16 43 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 44 H 0.06 0.63 6.98 -51.93 -0.36 0.27 16 45 H 0.07 0.94 6.61 -51.93 -0.34 0.59 16 46 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 47 H 0.06 0.97 5.83 -51.93 -0.30 0.67 16 48 H 0.09 0.73 6.76 -51.93 -0.35 0.38 16 49 H 0.08 0.70 7.17 -51.93 -0.37 0.33 16 50 H 0.09 0.88 8.14 -51.93 -0.42 0.45 16 51 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 52 H 0.08 1.09 6.65 -51.93 -0.35 0.75 16 53 H 0.10 1.38 7.75 -51.93 -0.40 0.98 16 LS Contribution 409.33 15.07 6.17 6.17 Total: -1.00 -31.68 409.33 -8.59 -40.27 By element: Atomic # 1 Polarization: 25.20 SS G_CDS: -8.93 Total: 16.27 kcal Atomic # 6 Polarization: 8.94 SS G_CDS: 0.77 Total: 9.71 kcal Atomic # 7 Polarization: -62.35 SS G_CDS: -1.73 Total: -64.08 kcal Atomic # 8 Polarization: -24.65 SS G_CDS: 0.14 Total: -24.50 kcal Atomic # 14 Polarization: 21.19 SS G_CDS: -5.02 Total: 16.16 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -31.68 -8.59 -40.27 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. ZINC001268734568.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 11.746 kcal (2) G-P(sol) polarization free energy of solvation -31.679 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -19.934 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.593 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.273 kcal (6) G-S(sol) free energy of system = (1) + (5) -28.527 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds