Wall clock time and date at job start Tue Mar 31 2020 19:41:40 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 1.53010 * 1 3 3 C 1.53000 * 109.47162 * 2 1 4 4 C 1.53003 * 109.46927 * 240.00208 * 2 1 3 5 5 C 1.50700 * 109.47008 * 59.99579 * 4 2 1 6 6 H 1.07997 * 120.00362 * 0.02562 * 5 4 2 7 7 C 1.37876 * 119.99653 * 179.97438 * 5 4 2 8 8 N 1.31516 * 120.00420 * 0.02562 * 7 5 4 9 9 Si 1.86810 * 119.99928 * 180.02562 * 7 5 4 10 10 H 1.48495 * 109.47037 * 60.00067 * 9 7 5 11 11 H 1.48495 * 109.46817 * 179.97438 * 9 7 5 12 12 H 1.48506 * 109.46854 * 299.99817 * 9 7 5 13 13 C 1.52996 * 109.47146 * 120.00093 * 2 1 3 14 14 N 1.46498 * 109.47059 * 299.99645 * 13 2 1 15 15 C 1.34777 * 119.99828 * 179.72339 * 14 13 2 16 16 O 1.21283 * 120.00222 * 0.28168 * 15 14 13 17 17 C 1.50703 * 120.00290 * 180.27728 * 15 14 13 18 18 H 1.08998 * 109.49225 * 300.06971 * 17 15 14 19 19 C 1.53039 * 109.49646 * 60.16195 * 17 15 14 20 20 C 1.53034 * 109.54192 * 181.31886 * 19 17 15 21 21 C 1.53192 * 109.31099 * 298.63861 * 20 19 17 22 22 N 1.46928 * 108.77836 * 54.63440 * 21 20 19 23 23 C 1.34773 * 120.63236 * 126.36941 * 22 21 20 24 24 O 1.21290 * 119.99596 * 180.02562 * 23 22 21 25 25 C 1.50697 * 120.00202 * 0.02562 * 23 22 21 26 26 C 1.52995 * 117.50025 * 248.74801 * 25 23 22 27 27 C 1.52994 * 117.49757 * 180.08594 * 25 23 22 28 28 C 1.46934 * 118.73283 * 306.38939 * 22 21 20 29 29 H 1.09003 * 109.46863 * 299.99777 * 1 2 3 30 30 H 1.09001 * 109.47172 * 59.99859 * 1 2 3 31 31 H 1.09000 * 109.46753 * 180.02562 * 1 2 3 32 32 H 1.08990 * 109.47258 * 180.02562 * 3 2 1 33 33 H 1.09001 * 109.46739 * 300.00411 * 3 2 1 34 34 H 1.08999 * 109.47407 * 59.99680 * 3 2 1 35 35 H 1.08990 * 109.47021 * 179.97438 * 4 2 1 36 36 H 1.09002 * 109.46620 * 300.00017 * 4 2 1 37 37 H 0.97000 * 120.00497 * 180.02562 * 8 7 5 38 38 H 1.09004 * 109.47066 * 179.97438 * 13 2 1 39 39 H 1.08994 * 109.46974 * 60.00060 * 13 2 1 40 40 H 0.97001 * 120.00384 * 0.02562 * 14 13 2 41 41 H 1.09003 * 109.46302 * 301.34175 * 19 17 15 42 42 H 1.09007 * 109.46064 * 61.29926 * 19 17 15 43 43 H 1.09000 * 109.50153 * 178.68277 * 20 19 17 44 44 H 1.09002 * 109.49510 * 58.58427 * 20 19 17 45 45 H 1.09001 * 109.58531 * 294.84159 * 21 20 19 46 46 H 1.09004 * 109.59036 * 174.41780 * 21 20 19 47 47 H 1.09002 * 115.54727 * 34.42057 * 25 23 22 48 48 H 1.09004 * 117.49777 * 359.97438 * 26 25 23 49 49 H 1.08993 * 117.50387 * 145.01922 * 26 25 23 50 50 H 1.09002 * 117.50050 * 214.97937 * 27 25 23 51 51 H 1.09000 * 117.50387 * 359.97438 * 27 25 23 52 52 H 1.08998 * 109.58625 * 293.82113 * 28 22 21 53 53 H 1.09004 * 109.70081 * 173.46649 * 28 22 21 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 -0.7212 -1.2493 5 6 1.5376 -0.0108 -2.4797 6 1 0.9170 0.8675 -2.3806 7 6 1.8711 -0.4816 -3.7320 8 7 2.6272 -1.5508 -3.8527 9 14 1.2489 0.3994 -5.2572 10 1 1.7439 1.7995 -5.2567 11 1 1.7448 -0.3000 -6.4697 12 1 -0.2362 0.3994 -5.2577 13 6 2.0401 -0.7213 1.2492 14 7 1.5518 -0.0306 2.4454 15 6 1.8728 -0.4943 3.6694 16 8 2.5702 -1.4804 3.7807 17 6 1.3655 0.2124 4.9000 18 1 1.7272 1.2406 4.9040 19 6 -0.1649 0.2086 4.8967 20 6 -0.6813 0.9546 6.1290 21 6 -0.1987 0.2381 7.3941 22 7 1.2637 0.1090 7.3358 23 6 2.0332 0.5525 8.3495 24 8 3.2394 0.4404 8.2890 25 6 1.3951 1.1875 9.5579 26 6 1.6180 2.6864 9.7690 27 6 2.3226 1.6725 10.6738 28 6 1.8712 -0.5126 6.1511 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 3.1300 1.4425 -0.0005 33 1 1.6767 1.9563 -0.8900 34 1 1.6768 1.9564 0.8899 35 1 3.1300 -0.7208 -1.2496 36 1 1.6767 -1.7489 -1.2493 37 1 2.8622 -1.8818 -4.7337 38 1 3.1301 -0.7216 1.2490 39 1 1.6768 -1.7489 1.2492 40 1 0.9939 0.7579 2.3564 41 1 -0.5274 0.7023 3.9950 42 1 -0.5256 -0.8199 4.9173 43 1 -1.7711 0.9718 6.1138 44 1 -0.3008 1.9761 6.1218 45 1 -0.6512 -0.7520 7.4484 46 1 -0.4794 0.8190 8.2727 47 1 0.4287 0.7764 9.8499 48 1 2.2267 3.2131 9.0339 49 1 0.7986 3.2614 10.2000 50 1 1.9664 1.5809 11.6998 51 1 3.3945 1.5319 10.5341 52 1 1.5876 -1.5639 6.1040 53 1 2.9566 -0.4291 6.2081 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 ZINC000359767609.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 19:41:40 Heat of formation + Delta-G solvation = -70.831435 kcal Electronic energy + Delta-G solvation = -29700.797341 eV Core-core repulsion = 25765.219652 eV Total energy + Delta-G solvation = -3935.577689 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -40.87283 -39.74268 -37.87989 -36.98247 -36.34377 -33.83575 -33.15242 -32.04232 -31.57483 -27.27807 -26.79937 -26.54881 -26.09040 -24.77601 -23.39249 -22.85229 -22.67801 -21.50787 -19.98243 -19.09135 -18.41552 -17.92256 -16.87582 -16.40861 -16.08493 -15.75198 -15.61302 -15.41314 -14.79648 -14.75912 -14.51610 -14.42210 -14.05870 -13.77667 -13.39173 -13.16867 -13.14872 -12.97915 -12.81314 -12.73049 -12.13205 -12.07392 -11.99403 -11.80400 -11.53504 -11.36112 -11.18454 -11.02796 -11.02117 -10.97679 -10.89006 -10.86202 -10.65647 -10.42964 -10.29221 -10.08897 -9.90371 -9.74920 -9.20160 -8.98943 -8.92428 -8.75338 -8.37284 -6.01226 -4.02884 2.16898 2.53480 2.74146 3.30592 3.36270 3.36700 3.43767 3.44188 4.03515 4.25834 4.35900 4.43549 4.44869 4.45716 4.50626 4.61901 4.64135 4.84594 5.03536 5.05915 5.16323 5.19973 5.28685 5.33934 5.37214 5.44326 5.49081 5.50189 5.56562 5.60065 5.62468 5.71609 5.71825 5.81898 5.90530 6.13022 6.15239 6.19100 6.26643 6.36069 6.53264 6.59513 6.72918 7.02888 7.04407 7.06226 7.09813 7.61792 7.69478 7.74365 7.87971 7.96994 8.36018 8.40052 9.01628 9.60203 11.10072 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.028479 B = 0.001978 C = 0.001945 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 982.957999 B =14152.559226 C =14390.424614 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.126 4.126 2 C -0.072 4.072 3 C -0.127 4.127 4 C 0.036 3.964 5 C -0.512 4.512 6 H 0.059 0.941 7 C 0.056 3.944 8 N -0.894 5.894 9 Si 0.890 3.110 10 H -0.278 1.278 11 H -0.288 1.288 12 H -0.278 1.278 13 C 0.127 3.873 14 N -0.718 5.718 15 C 0.515 3.485 16 O -0.542 6.542 17 C -0.122 4.122 18 H 0.099 0.901 19 C -0.113 4.113 20 C -0.133 4.133 21 C 0.104 3.896 22 N -0.609 5.609 23 C 0.544 3.456 24 O -0.537 6.537 25 C -0.196 4.196 26 C -0.152 4.152 27 C -0.148 4.148 28 C 0.133 3.867 29 H 0.028 0.972 30 H 0.067 0.933 31 H 0.047 0.953 32 H 0.047 0.953 33 H 0.067 0.933 34 H 0.028 0.972 35 H 0.018 0.982 36 H 0.018 0.982 37 H 0.261 0.739 38 H 0.064 0.936 39 H 0.064 0.936 40 H 0.398 0.602 41 H 0.074 0.926 42 H 0.073 0.927 43 H 0.082 0.918 44 H 0.071 0.929 45 H 0.072 0.928 46 H 0.089 0.911 47 H 0.125 0.875 48 H 0.099 0.901 49 H 0.105 0.895 50 H 0.103 0.897 51 H 0.108 0.892 52 H 0.079 0.921 53 H 0.100 0.900 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.510 8.296 27.169 29.957 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 -0.184 4.184 2 C -0.073 4.073 3 C -0.185 4.185 4 C -0.001 4.001 5 C -0.551 4.551 6 H 0.077 0.923 7 C -0.145 4.145 8 N -0.533 5.533 9 Si 0.718 3.282 10 H -0.203 1.203 11 H -0.214 1.214 12 H -0.203 1.203 13 C 0.005 3.995 14 N -0.370 5.370 15 C 0.299 3.701 16 O -0.420 6.420 17 C -0.144 4.144 18 H 0.117 0.883 19 C -0.151 4.151 20 C -0.171 4.171 21 C -0.019 4.019 22 N -0.342 5.342 23 C 0.332 3.668 24 O -0.414 6.414 25 C -0.217 4.217 26 C -0.189 4.189 27 C -0.186 4.186 28 C 0.010 3.990 29 H 0.047 0.953 30 H 0.086 0.914 31 H 0.066 0.934 32 H 0.067 0.933 33 H 0.086 0.914 34 H 0.047 0.953 35 H 0.037 0.963 36 H 0.037 0.963 37 H 0.070 0.930 38 H 0.082 0.918 39 H 0.082 0.918 40 H 0.233 0.767 41 H 0.093 0.907 42 H 0.092 0.908 43 H 0.100 0.900 44 H 0.089 0.911 45 H 0.090 0.910 46 H 0.107 0.893 47 H 0.143 0.857 48 H 0.118 0.882 49 H 0.123 0.877 50 H 0.121 0.879 51 H 0.126 0.874 52 H 0.097 0.903 53 H 0.118 0.882 Dipole moment (debyes) X Y Z Total from point charges -8.263 7.387 27.058 29.240 hybrid contribution -0.742 0.739 -1.167 1.568 sum -9.005 8.126 25.891 28.591 Atomic orbital electron populations 1.21759 0.95288 1.01139 1.00173 1.20907 0.95447 0.95846 0.95094 1.21762 1.00606 0.95896 1.00186 1.19084 0.96374 0.95208 0.89447 1.21136 1.31314 1.12090 0.90527 0.92329 1.25022 0.95316 0.95090 0.99096 1.69952 1.36801 1.22985 1.23573 0.86703 0.79108 0.79763 0.82666 1.20340 1.21396 1.20338 1.21642 0.98995 0.96011 0.82886 1.46196 1.53122 1.31818 1.05828 1.20295 0.80565 0.84655 0.84558 1.90721 1.38034 1.26389 1.86846 1.21660 0.97459 1.01526 0.93749 0.88314 1.21540 0.92749 1.01970 0.98815 1.21918 1.01302 0.99849 0.94030 1.21838 0.79647 1.01263 0.99133 1.48026 1.07058 1.60417 1.18692 1.19690 0.86555 0.77481 0.83062 1.90718 1.14320 1.56475 1.79909 1.22217 1.02435 0.99329 0.97728 1.22952 1.03447 0.89458 1.03058 1.22980 0.99553 1.01367 0.94678 1.21345 1.00097 0.96201 0.81354 0.95331 0.91422 0.93357 0.93336 0.91416 0.95311 0.96342 0.96346 0.92961 0.91777 0.91775 0.76689 0.90687 0.90820 0.89973 0.91056 0.91012 0.89307 0.85748 0.88206 0.87714 0.87876 0.87356 0.90291 0.88206 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 -0.13 -2.13 8.05 37.16 0.30 -1.83 16 2 C -0.07 -1.34 0.54 -154.50 -0.08 -1.43 16 3 C -0.13 -2.19 8.05 37.16 0.30 -1.89 16 4 C 0.04 0.88 4.04 -27.88 -0.11 0.77 16 5 C -0.51 -13.47 7.65 -34.44 -0.26 -13.73 16 6 H 0.06 1.47 5.68 -52.49 -0.30 1.17 16 7 C 0.06 1.55 5.46 -17.82 -0.10 1.45 16 8 N -0.89 -26.30 13.29 55.43 0.74 -25.57 16 9 Si 0.89 21.06 29.54 -169.99 -5.02 16.04 16 10 H -0.28 -6.47 7.11 56.52 0.40 -6.07 16 11 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 12 H -0.28 -6.45 7.11 56.52 0.40 -6.05 16 13 C 0.13 2.21 4.56 -4.04 -0.02 2.19 16 14 N -0.72 -9.94 4.85 -60.30 -0.29 -10.23 16 15 C 0.51 7.34 7.16 -10.98 -0.08 7.26 16 16 O -0.54 -10.01 15.92 5.55 0.09 -9.92 16 17 C -0.12 -1.26 2.68 -91.65 -0.25 -1.50 16 18 H 0.10 0.96 8.14 -51.93 -0.42 0.54 16 19 C -0.11 -0.85 5.08 -26.69 -0.14 -0.99 16 20 C -0.13 -0.71 6.08 -26.61 -0.16 -0.87 16 21 C 0.10 0.60 6.30 -3.71 -0.02 0.57 16 22 N -0.61 -5.69 2.97 -172.76 -0.51 -6.20 16 23 C 0.54 5.89 7.48 -10.99 -0.08 5.81 16 24 O -0.54 -8.11 15.67 5.55 0.09 -8.02 16 25 C -0.20 -1.38 4.96 -91.78 -0.45 -1.83 16 26 C -0.15 -0.88 10.24 -26.70 -0.27 -1.15 16 27 C -0.15 -0.99 10.05 -26.70 -0.27 -1.26 16 28 C 0.13 1.53 5.06 -3.71 -0.02 1.52 16 29 H 0.03 0.38 6.86 -51.93 -0.36 0.02 16 30 H 0.07 1.24 6.62 -51.93 -0.34 0.89 16 31 H 0.05 0.84 8.14 -51.93 -0.42 0.41 16 32 H 0.05 0.87 8.14 -51.93 -0.42 0.44 16 33 H 0.07 1.26 6.62 -51.93 -0.34 0.91 16 34 H 0.03 0.40 6.86 -51.93 -0.36 0.04 16 35 H 0.02 0.49 8.14 -51.93 -0.42 0.06 16 36 H 0.02 0.48 8.14 -51.93 -0.42 0.06 16 37 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 38 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 39 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 40 H 0.40 4.58 5.57 -40.82 -0.23 4.35 16 41 H 0.07 0.53 7.54 -51.93 -0.39 0.13 16 42 H 0.07 0.60 8.14 -51.92 -0.42 0.17 16 43 H 0.08 0.31 8.14 -51.93 -0.42 -0.12 16 44 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 45 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 46 H 0.09 0.34 5.68 -51.93 -0.29 0.04 16 47 H 0.12 0.58 6.82 -51.93 -0.35 0.22 16 48 H 0.10 0.69 8.14 -51.93 -0.42 0.26 16 49 H 0.10 0.38 8.14 -51.93 -0.42 -0.04 16 50 H 0.10 0.47 8.14 -51.93 -0.42 0.05 16 51 H 0.11 0.93 7.67 -51.93 -0.40 0.53 16 52 H 0.08 0.96 7.95 -51.93 -0.41 0.55 16 53 H 0.10 1.43 7.01 -51.93 -0.36 1.07 16 LS Contribution 410.16 15.07 6.18 6.18 Total: -1.00 -33.33 410.16 -9.65 -42.98 By element: Atomic # 1 Polarization: 10.86 SS G_CDS: -9.20 Total: 1.66 kcal Atomic # 6 Polarization: -5.20 SS G_CDS: -1.72 Total: -6.92 kcal Atomic # 7 Polarization: -41.93 SS G_CDS: -0.07 Total: -42.00 kcal Atomic # 8 Polarization: -18.12 SS G_CDS: 0.18 Total: -17.95 kcal Atomic # 14 Polarization: 21.06 SS G_CDS: -5.02 Total: 16.04 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -33.33 -9.65 -42.98 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. ZINC000359767609.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 -27.851 kcal (2) G-P(sol) polarization free energy of solvation -33.332 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -61.184 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.648 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.980 kcal (6) G-S(sol) free energy of system = (1) + (5) -70.831 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds