Wall clock time and date at job start Sat Apr 11 2020 06:12:33 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 1.45201 * 1 3 3 C 1.34229 * 117.00091 * 2 1 4 4 O 1.20820 * 120.00043 * 359.97438 * 3 2 1 5 5 C 1.50698 * 119.99855 * 180.02562 * 3 2 1 6 6 C 1.52998 * 112.90758 * 305.38438 * 5 3 2 7 7 C 1.53000 * 109.47160 * 293.24995 * 6 5 3 8 8 C 1.52998 * 109.47194 * 177.93635 * 7 6 5 9 9 C 1.53002 * 109.46829 * 179.97438 * 8 7 6 10 10 N 1.46503 * 109.47147 * 180.02562 * 9 8 7 11 11 C 1.34777 * 120.00571 * 180.02562 * 10 9 8 12 12 O 1.21590 * 119.99430 * 359.97438 * 11 10 9 13 13 N 1.34770 * 120.00215 * 180.02562 * 11 10 9 14 14 C 1.46505 * 119.99920 * 179.97438 * 13 11 10 15 15 C 1.52993 * 109.47066 * 180.02562 * 14 13 11 16 16 C 1.53002 * 109.47103 * 179.97438 * 15 14 13 17 17 C 1.50700 * 109.47147 * 179.97438 * 16 15 14 18 18 H 1.07998 * 120.00424 * 0.02562 * 17 16 15 19 19 C 1.37883 * 119.99701 * 179.97438 * 17 16 15 20 20 N 1.31515 * 120.00323 * 0.02562 * 19 17 16 21 21 Si 1.86805 * 119.99721 * 180.02562 * 19 17 16 22 22 H 1.48496 * 109.47126 * 90.00018 * 21 19 17 23 23 H 1.48502 * 109.47063 * 210.00342 * 21 19 17 24 24 H 1.48504 * 109.46783 * 329.99996 * 21 19 17 25 25 C 1.53775 * 113.61477 * 174.13086 * 5 3 2 26 26 C 1.53776 * 87.08714 * 220.01799 * 25 5 3 27 27 C 1.53783 * 87.07916 * 25.43022 * 26 25 5 28 28 H 1.09000 * 109.47074 * 180.02562 * 1 2 3 29 29 H 1.09000 * 109.46633 * 299.99554 * 1 2 3 30 30 H 1.08996 * 109.47232 * 59.99889 * 1 2 3 31 31 H 1.08996 * 109.47499 * 53.25070 * 6 5 3 32 32 H 1.09004 * 109.47266 * 173.25729 * 6 5 3 33 33 H 1.09005 * 109.47473 * 297.93831 * 7 6 5 34 34 H 1.09000 * 109.47164 * 57.93957 * 7 6 5 35 35 H 1.08996 * 109.47605 * 300.00216 * 8 7 6 36 36 H 1.08996 * 109.47152 * 60.00463 * 8 7 6 37 37 H 1.08991 * 109.47741 * 299.99978 * 9 8 7 38 38 H 1.09000 * 109.47322 * 60.00449 * 9 8 7 39 39 H 0.97004 * 119.99854 * 0.02562 * 10 9 8 40 40 H 0.96996 * 119.99931 * 359.97438 * 13 11 10 41 41 H 1.09002 * 109.46745 * 300.00355 * 14 13 11 42 42 H 1.08994 * 109.46872 * 59.99676 * 14 13 11 43 43 H 1.09002 * 109.47512 * 299.99742 * 15 14 13 44 44 H 1.08994 * 109.47656 * 60.00013 * 15 14 13 45 45 H 1.08998 * 109.47369 * 299.99827 * 16 15 14 46 46 H 1.09006 * 109.47040 * 59.99838 * 16 15 14 47 47 H 0.96996 * 119.99687 * 180.02562 * 20 19 17 48 48 H 1.09004 * 113.61737 * 105.47085 * 25 5 3 49 49 H 1.09003 * 113.61858 * 334.56823 * 25 5 3 50 50 H 1.09001 * 113.61856 * 139.97644 * 26 25 5 51 51 H 1.09000 * 113.61696 * 270.88493 * 26 25 5 52 52 H 1.09008 * 113.61034 * 89.11589 * 27 26 25 53 53 H 1.08995 * 113.61727 * 219.93169 * 27 26 25 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 1.4520 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4034 2.2093 -0.0005 5 6 3.5663 1.2748 -0.0006 6 6 4.2042 0.4907 1.1480 7 6 3.8436 1.1526 2.4794 8 6 4.4385 0.3395 3.6309 9 6 4.0784 1.0019 4.9623 10 7 4.6485 0.2236 6.0648 11 6 4.4585 0.6204 7.3388 12 8 3.8141 1.6246 7.5729 13 7 4.9834 -0.0952 8.3529 14 6 4.7772 0.3365 9.7377 15 6 5.4719 -0.6428 10.6859 16 6 5.2571 -0.1916 12.1320 17 6 5.9409 -1.1565 13.0661 18 1 6.4756 -2.0063 12.6682 19 6 5.8848 -0.9537 14.4288 20 7 5.2341 0.0813 14.9134 21 14 6.7330 -2.1494 15.5866 22 1 8.1276 -1.7000 15.8276 23 1 5.9979 -2.1955 16.8761 24 1 6.7475 -3.5032 14.9765 25 6 4.1081 2.7067 -0.1446 26 6 5.1862 2.1216 -1.0720 27 6 4.1981 0.9820 -1.3717 28 1 -0.3633 -1.0277 0.0005 29 1 -0.3632 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8899 31 1 3.8324 -0.5338 1.1392 32 1 5.2874 0.4852 1.0267 33 1 4.2471 2.1650 2.5031 34 1 2.7593 1.1912 2.5842 35 1 4.0350 -0.6727 3.6074 36 1 5.5228 0.3010 3.5262 37 1 4.4822 2.0139 4.9856 38 1 2.9942 1.0408 5.0672 39 1 5.1629 -0.5773 5.8780 40 1 5.4977 -0.8961 8.1660 41 1 5.1969 1.3332 9.8738 42 1 3.7096 0.3589 9.9561 43 1 5.0527 -1.6397 10.5499 44 1 6.5395 -0.6647 10.4674 45 1 5.6767 0.8052 12.2678 46 1 4.1895 -0.1693 12.3509 47 1 5.1950 0.2241 15.8720 48 1 4.5066 3.1182 0.7828 49 1 3.4200 3.3854 -0.6487 50 1 5.4054 2.7481 -1.9366 51 1 6.0835 1.7945 -0.5467 52 1 3.5345 1.1891 -2.2114 53 1 4.6692 0.0013 -1.4365 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 ZINC001678788174.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 06:12:33 Heat of formation + Delta-G solvation = -131.347507 kcal Electronic energy + Delta-G solvation = -28486.986958 eV Core-core repulsion = 24358.329044 eV Total energy + Delta-G solvation = -4128.657914 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.70 seconds Orbital eigenvalues (eV) -41.53675 -39.78280 -39.22427 -36.80285 -36.39875 -35.22826 -33.75187 -33.21134 -31.21321 -29.95596 -28.42599 -26.81240 -26.35430 -25.89143 -23.78179 -22.72898 -22.05154 -21.69742 -20.76610 -20.28727 -19.26317 -18.00623 -17.75457 -17.41413 -16.82395 -16.53401 -16.22851 -15.93468 -15.71106 -15.28175 -14.81511 -14.57624 -14.34138 -14.19489 -14.06544 -13.85973 -13.57172 -13.46164 -13.13987 -12.97102 -12.63104 -12.28218 -12.25094 -12.13013 -11.94546 -11.79159 -11.75779 -11.61261 -11.55265 -11.23665 -11.13828 -10.95998 -10.89160 -10.72854 -10.70142 -10.58056 -10.52881 -10.07486 -9.83948 -9.42363 -9.17087 -9.10989 -8.56532 -8.35825 -6.00438 -4.03538 1.75169 2.26954 2.84115 3.31533 3.37866 3.40626 3.41299 3.71029 3.83498 4.05318 4.18722 4.35422 4.41390 4.47467 4.51243 4.53446 4.67192 4.74162 4.75517 4.95528 5.01230 5.06504 5.10464 5.17535 5.19066 5.27185 5.32660 5.35264 5.35941 5.40789 5.51502 5.58005 5.66815 5.74936 5.81259 5.83647 5.85579 5.90048 5.96679 6.21020 6.47416 6.56083 6.64813 6.83541 7.04617 7.10761 7.31443 7.65528 7.78582 7.98567 8.18852 8.39498 8.79317 9.03177 9.60501 11.10820 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.025223 B = 0.001298 C = 0.001277 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1109.831299 B =21572.032173 C =21916.043333 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.356 6.356 3 C 0.475 3.525 4 O -0.505 6.505 5 C -0.079 4.079 6 C -0.093 4.093 7 C -0.119 4.119 8 C -0.129 4.129 9 C 0.139 3.861 10 N -0.753 5.753 11 C 0.699 3.301 12 O -0.594 6.594 13 N -0.742 5.742 14 C 0.135 3.865 15 C -0.120 4.120 16 C 0.023 3.977 17 C -0.523 4.523 18 H 0.055 0.945 19 C 0.057 3.943 20 N -0.893 5.893 21 Si 0.893 3.107 22 H -0.281 1.281 23 H -0.286 1.286 24 H -0.274 1.274 25 C -0.119 4.119 26 C -0.140 4.140 27 C -0.121 4.121 28 H 0.102 0.898 29 H 0.064 0.936 30 H 0.061 0.939 31 H 0.080 0.920 32 H 0.082 0.918 33 H 0.072 0.928 34 H 0.062 0.938 35 H 0.070 0.930 36 H 0.071 0.929 37 H 0.064 0.936 38 H 0.063 0.937 39 H 0.394 0.606 40 H 0.393 0.607 41 H 0.062 0.938 42 H 0.062 0.938 43 H 0.053 0.947 44 H 0.053 0.947 45 H 0.019 0.981 46 H 0.019 0.981 47 H 0.261 0.739 48 H 0.082 0.918 49 H 0.094 0.906 50 H 0.075 0.925 51 H 0.088 0.912 52 H 0.085 0.915 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.329 -1.146 -38.538 38.625 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 -0.061 4.061 2 O -0.272 6.272 3 C 0.317 3.683 4 O -0.392 6.392 5 C -0.080 4.080 6 C -0.130 4.130 7 C -0.157 4.157 8 C -0.166 4.166 9 C 0.014 3.986 10 N -0.410 5.410 11 C 0.398 3.602 12 O -0.472 6.472 13 N -0.397 5.397 14 C 0.012 3.988 15 C -0.158 4.158 16 C -0.014 4.014 17 C -0.561 4.561 18 H 0.073 0.927 19 C -0.145 4.145 20 N -0.532 5.532 21 Si 0.721 3.279 22 H -0.207 1.207 23 H -0.212 1.212 24 H -0.199 1.199 25 C -0.156 4.156 26 C -0.177 4.177 27 C -0.158 4.158 28 H 0.120 0.880 29 H 0.083 0.917 30 H 0.080 0.920 31 H 0.099 0.901 32 H 0.101 0.899 33 H 0.091 0.909 34 H 0.081 0.919 35 H 0.089 0.911 36 H 0.090 0.910 37 H 0.083 0.917 38 H 0.081 0.919 39 H 0.227 0.773 40 H 0.226 0.774 41 H 0.080 0.920 42 H 0.080 0.920 43 H 0.072 0.928 44 H 0.072 0.928 45 H 0.038 0.962 46 H 0.038 0.962 47 H 0.071 0.929 48 H 0.101 0.899 49 H 0.112 0.888 50 H 0.094 0.906 51 H 0.107 0.893 52 H 0.103 0.897 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -3.240 0.192 -38.120 38.258 hybrid contribution 0.537 -1.330 0.581 1.547 sum -2.703 -1.138 -37.539 37.654 Atomic orbital electron populations 1.23301 0.76324 1.03844 1.02610 1.86518 1.23379 1.33473 1.83852 1.23612 0.91550 0.81327 0.71771 1.90669 1.66912 1.36485 1.45093 1.22024 0.86596 1.00406 0.98987 1.21412 1.01051 0.99120 0.91426 1.21528 1.01261 0.99880 0.93077 1.21767 1.01632 0.99927 0.93322 1.21135 0.98629 0.94940 0.83895 1.45120 1.59883 1.31237 1.04712 1.16037 0.80271 0.83359 0.80519 1.90922 1.45551 1.26978 1.83729 1.45385 1.57883 1.29947 1.06439 1.21505 1.00932 0.98956 0.77456 1.21886 0.99005 0.97436 0.97491 1.19035 0.97519 0.96916 0.87969 1.21209 1.33370 1.10281 0.91231 0.92659 1.25032 0.95481 0.95509 0.98438 1.69968 1.42041 1.28301 1.12914 0.86582 0.79532 0.81424 0.80365 1.20676 1.21210 1.19922 1.23020 0.97720 0.93697 1.01153 1.22844 0.97167 0.97578 1.00120 1.22953 0.98172 1.00403 0.94271 0.87973 0.91739 0.91975 0.90115 0.89901 0.90896 0.91916 0.91093 0.91001 0.91737 0.91858 0.77267 0.77354 0.91984 0.91990 0.92780 0.92780 0.96228 0.96225 0.92942 0.89942 0.88755 0.90594 0.89335 0.89680 0.89890 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 0.19 10.56 101.05 1.07 1.26 16 2 O -0.36 -2.78 10.44 -39.25 -0.41 -3.19 16 3 C 0.47 4.07 6.22 36.00 0.22 4.29 16 4 O -0.50 -5.76 15.70 -18.75 -0.29 -6.05 16 5 C -0.08 -0.46 0.90 -154.85 -0.14 -0.60 16 6 C -0.09 -0.44 4.54 -26.73 -0.12 -0.56 16 7 C -0.12 -0.71 4.92 -26.73 -0.13 -0.85 16 8 C -0.13 -0.76 5.33 -26.73 -0.14 -0.91 16 9 C 0.14 1.34 5.67 -4.04 -0.02 1.32 16 10 N -0.75 -8.18 5.56 -65.23 -0.36 -8.54 16 11 C 0.70 10.99 8.57 -86.92 -0.74 10.25 16 12 O -0.59 -12.11 16.34 5.29 0.09 -12.02 16 13 N -0.74 -11.00 5.56 -65.23 -0.36 -11.36 16 14 C 0.13 2.46 5.67 -4.04 -0.02 2.43 16 15 C -0.12 -2.37 5.27 -26.73 -0.14 -2.52 16 16 C 0.02 0.60 4.97 -27.88 -0.14 0.46 16 17 C -0.52 -14.66 9.11 -34.44 -0.31 -14.98 16 18 H 0.06 1.49 7.74 -52.49 -0.41 1.08 16 19 C 0.06 1.63 5.46 -17.82 -0.10 1.53 16 20 N -0.89 -26.92 13.29 55.43 0.74 -26.19 16 21 Si 0.89 21.52 29.54 -169.99 -5.02 16.50 16 22 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 23 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 24 H -0.27 -6.44 7.11 56.52 0.40 -6.04 16 25 C -0.12 -0.67 6.78 -25.92 -0.18 -0.84 16 26 C -0.14 -0.53 7.73 -25.92 -0.20 -0.73 16 27 C -0.12 -0.52 7.21 -25.92 -0.19 -0.70 16 28 H 0.10 0.33 8.14 -51.93 -0.42 -0.09 16 29 H 0.06 0.40 8.13 -51.93 -0.42 -0.02 16 30 H 0.06 0.34 8.13 -51.93 -0.42 -0.08 16 31 H 0.08 0.38 8.07 -51.93 -0.42 -0.04 16 32 H 0.08 0.28 7.31 -51.93 -0.38 -0.10 16 33 H 0.07 0.44 6.76 -51.93 -0.35 0.09 16 34 H 0.06 0.47 7.56 -51.93 -0.39 0.08 16 35 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 36 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 37 H 0.06 0.70 8.14 -51.93 -0.42 0.27 16 38 H 0.06 0.71 8.14 -51.93 -0.42 0.28 16 39 H 0.39 3.01 8.49 -40.82 -0.35 2.66 16 40 H 0.39 4.56 8.49 -40.82 -0.35 4.22 16 41 H 0.06 1.21 8.14 -51.93 -0.42 0.78 16 42 H 0.06 1.21 8.14 -51.93 -0.42 0.78 16 43 H 0.05 1.02 8.14 -51.93 -0.42 0.60 16 44 H 0.05 1.02 8.14 -51.93 -0.42 0.60 16 45 H 0.02 0.53 8.14 -51.93 -0.42 0.11 16 46 H 0.02 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 48 H 0.08 0.44 6.70 -51.93 -0.35 0.09 16 49 H 0.09 0.65 7.52 -51.93 -0.39 0.26 16 50 H 0.08 0.25 8.14 -51.93 -0.42 -0.17 16 51 H 0.09 0.26 7.61 -51.93 -0.40 -0.14 16 52 H 0.08 0.39 8.09 -51.92 -0.42 -0.03 16 53 H 0.08 0.27 8.10 -51.93 -0.42 -0.15 16 LS Contribution 431.39 15.07 6.50 6.50 Total: -1.00 -35.99 431.39 -10.08 -46.08 By element: Atomic # 1 Polarization: 9.08 SS G_CDS: -9.67 Total: -0.59 kcal Atomic # 6 Polarization: 0.14 SS G_CDS: -1.29 Total: -1.14 kcal Atomic # 7 Polarization: -46.10 SS G_CDS: 0.01 Total: -46.09 kcal Atomic # 8 Polarization: -20.64 SS G_CDS: -0.62 Total: -21.26 kcal Atomic # 14 Polarization: 21.52 SS G_CDS: -5.02 Total: 16.50 kcal Total LS contribution 6.50 Total: 6.50 kcal Total: -35.99 -10.08 -46.08 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. ZINC001678788174.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 -85.269 kcal (2) G-P(sol) polarization free energy of solvation -35.994 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -121.264 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.084 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -46.078 kcal (6) G-S(sol) free energy of system = (1) + (5) -131.348 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.70 seconds