Wall clock time and date at job start Sat Apr 11 2020 06:12:27 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 1.52995 * 1 3 3 N 1.46500 * 109.47123 * 2 1 4 4 C 1.37103 * 120.00107 * 262.97689 * 3 2 1 5 5 H 1.08002 * 119.99988 * 142.21363 * 4 3 2 6 6 C 1.38949 * 120.00180 * 322.21478 * 4 3 2 7 7 N 1.31413 * 120.00077 * 157.13527 * 6 4 3 8 8 Si 1.86806 * 119.99684 * 337.13536 * 6 4 3 9 9 H 1.48502 * 109.46924 * 95.20539 * 8 6 4 10 10 H 1.48498 * 109.46807 * 215.20299 * 8 6 4 11 11 H 1.48496 * 109.47115 * 335.20349 * 8 6 4 12 12 C 1.34781 * 120.00010 * 82.97874 * 3 2 1 13 13 O 1.21294 * 119.99641 * 180.02562 * 12 3 2 14 14 C 1.50695 * 119.99913 * 359.97438 * 12 3 2 15 15 C 1.52995 * 109.47023 * 180.02562 * 14 12 3 16 16 C 1.53003 * 109.47193 * 180.02562 * 15 14 12 17 17 H 1.08998 * 110.88913 * 57.42594 * 16 15 14 18 18 C 1.55157 * 111.03976 * 181.33556 * 16 15 14 19 19 C 1.54334 * 103.02266 * 153.39184 * 18 16 15 20 20 N 1.47024 * 107.26617 * 338.13888 * 19 18 16 21 21 C 1.34773 * 125.64715 * 178.84777 * 20 19 18 22 22 O 1.21507 * 119.99833 * 179.69203 * 21 20 19 23 23 O 1.34631 * 120.00109 * 359.42001 * 21 20 19 24 24 C 1.45198 * 117.00368 * 180.27424 * 23 21 20 25 25 C 1.53002 * 109.47029 * 59.99401 * 24 23 21 26 26 C 1.52995 * 109.47587 * 179.97438 * 24 23 21 27 27 C 1.53004 * 109.47013 * 300.00051 * 24 23 21 28 28 C 1.47424 * 108.70205 * 358.58576 * 20 19 18 29 29 H 1.09001 * 109.47152 * 179.97438 * 1 2 3 30 30 H 1.09001 * 109.47313 * 300.00080 * 1 2 3 31 31 H 1.09007 * 109.47352 * 60.00008 * 1 2 3 32 32 H 1.09003 * 109.47079 * 240.00655 * 2 1 3 33 33 H 1.08993 * 109.47420 * 119.99812 * 2 1 3 34 34 H 0.96994 * 119.99552 * 180.02562 * 7 6 4 35 35 H 1.09005 * 109.46551 * 60.00307 * 14 12 3 36 36 H 1.08997 * 109.47458 * 300.00737 * 14 12 3 37 37 H 1.08995 * 109.47274 * 60.00586 * 15 14 12 38 38 H 1.09002 * 109.47250 * 300.00186 * 15 14 12 39 39 H 1.09003 * 110.71711 * 271.95312 * 18 16 15 40 40 H 1.09001 * 110.72146 * 35.04110 * 18 16 15 41 41 H 1.08999 * 109.98661 * 218.66106 * 19 18 16 42 42 H 1.08998 * 109.77781 * 97.49633 * 19 18 16 43 43 H 1.08997 * 109.46995 * 60.00650 * 25 24 23 44 44 H 1.09003 * 109.47070 * 180.02562 * 25 24 23 45 45 H 1.08994 * 109.47448 * 300.00308 * 25 24 23 46 46 H 1.08995 * 109.47056 * 59.99842 * 26 24 23 47 47 H 1.09003 * 109.47272 * 179.97438 * 26 24 23 48 48 H 1.08997 * 109.47099 * 299.99755 * 26 24 23 49 49 H 1.09003 * 109.47228 * 59.99589 * 27 24 23 50 50 H 1.09003 * 109.47288 * 179.97438 * 27 24 23 51 51 H 1.09001 * 109.46544 * 299.99849 * 27 24 23 52 52 H 1.08996 * 110.36996 * 143.19196 * 28 20 19 53 53 H 1.09006 * 110.36736 * 265.41106 * 28 20 19 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 1.5299 0.0000 0.0000 3 7 2.0183 1.3812 0.0000 4 6 2.3837 1.9792 -1.1784 5 1 2.1621 3.0229 -1.3458 6 6 3.0390 1.2424 -2.1574 7 7 2.9964 1.6320 -3.4117 8 14 3.9806 -0.3020 -1.6904 9 1 3.1111 -1.4899 -1.8858 10 1 5.1865 -0.4247 -2.5482 11 1 4.3925 -0.2189 -0.2662 12 6 2.1084 2.0641 1.1585 13 8 2.5123 3.2079 1.1583 14 6 1.7063 1.4071 2.4537 15 6 1.9032 2.3920 3.6078 16 6 1.4955 1.7247 4.9229 17 1 2.0686 0.8127 5.0899 18 6 1.6495 2.7047 6.1159 19 6 0.6152 2.1789 7.1336 20 7 -0.3760 1.3945 6.3827 21 6 -1.4324 0.7482 6.9145 22 8 -2.1932 0.1326 6.1944 23 8 -1.6416 0.7803 8.2440 24 6 -2.7954 0.0568 8.7475 25 6 -2.6655 -1.4245 8.3873 26 6 -2.8678 0.2069 10.2683 27 6 -4.0685 0.6251 8.1172 28 6 -0.0265 1.4372 4.9512 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5139 -0.8900 32 1 1.8933 -0.5137 -0.8901 33 1 1.8933 -0.5138 0.8899 34 1 3.4536 1.1174 -4.0951 35 1 2.3233 0.5240 2.6199 36 1 0.6579 1.1133 2.4020 37 1 1.2860 3.2748 3.4414 38 1 2.9515 2.6861 3.6596 39 1 2.6578 2.6561 6.5271 40 1 1.4072 3.7231 5.8122 41 1 0.1254 3.0150 7.6327 42 1 1.1106 1.5444 7.8685 43 1 -1.7586 -1.8294 8.8363 44 1 -3.5319 -1.9676 8.7649 45 1 -2.6137 -1.5319 7.3039 46 1 -2.9602 1.2621 10.5253 47 1 -3.7343 -0.3359 10.6462 48 1 -1.9609 -0.1983 10.7170 49 1 -4.0167 0.5178 7.0337 50 1 -4.9347 0.0817 8.4948 51 1 -4.1610 1.6804 8.3738 52 1 -0.2401 0.4780 4.4797 53 1 -0.5744 2.2356 4.4505 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 ZINC000494065459.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 06:12:27 Heat of formation + Delta-G solvation = -115.051787 kcal Electronic energy + Delta-G solvation = -30836.296412 eV Core-core repulsion = 26708.345133 eV Total energy + Delta-G solvation = -4127.951279 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -41.00315 -39.30732 -38.60742 -36.77461 -35.26323 -34.47822 -33.56631 -32.25120 -30.69615 -29.68251 -28.62506 -27.72169 -27.65944 -25.85374 -24.34391 -22.97107 -22.40935 -21.83068 -20.25189 -19.60580 -18.65094 -18.04190 -16.96612 -16.84291 -16.63066 -16.01488 -15.75774 -15.54880 -15.25157 -14.86999 -14.49005 -14.16136 -13.95260 -13.63716 -13.50055 -13.30712 -13.15726 -12.89205 -12.80361 -12.67230 -12.52654 -12.38270 -12.29400 -12.19448 -12.17203 -12.07174 -11.77201 -11.65856 -11.54172 -11.39159 -11.20993 -11.01574 -10.89586 -10.69719 -10.68578 -10.61079 -10.42132 -10.21368 -10.06821 -9.83473 -9.05165 -8.91655 -8.45596 -7.71633 -6.37631 -3.93051 1.88955 2.67540 3.04404 3.22689 3.27485 3.65128 3.78141 4.16336 4.28998 4.36807 4.41406 4.45101 4.49786 4.59815 4.71774 4.97806 5.03056 5.13721 5.14756 5.22566 5.23352 5.31665 5.37344 5.40922 5.45401 5.48021 5.52763 5.54423 5.56006 5.64717 5.66612 5.70360 5.78466 5.80964 5.90755 5.94907 5.97095 6.00782 6.04134 6.06936 6.12467 6.25559 6.29453 6.41070 6.46645 6.53717 6.77822 7.29984 7.58360 8.16331 8.32900 8.54982 9.00969 9.36245 9.82667 10.74704 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020101 B = 0.002275 C = 0.002156 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1392.619516 B =12304.011389 C =12982.857576 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.163 4.163 2 C 0.087 3.913 3 N -0.468 5.468 4 C -0.314 4.314 5 H 0.103 0.897 6 C 0.059 3.941 7 N -0.864 5.864 8 Si 0.874 3.126 9 H -0.276 1.276 10 H -0.287 1.287 11 H -0.264 1.264 12 C 0.465 3.535 13 O -0.568 6.568 14 C -0.142 4.142 15 C -0.088 4.088 16 C -0.101 4.101 17 H 0.087 0.913 18 C -0.128 4.128 19 C 0.106 3.894 20 N -0.604 5.604 21 C 0.666 3.334 22 O -0.567 6.567 23 O -0.363 6.363 24 C 0.135 3.865 25 C -0.183 4.183 26 C -0.140 4.140 27 C -0.184 4.184 28 C 0.127 3.873 29 H 0.054 0.946 30 H 0.052 0.948 31 H 0.065 0.935 32 H 0.074 0.926 33 H 0.059 0.941 34 H 0.273 0.727 35 H 0.079 0.921 36 H 0.081 0.919 37 H 0.073 0.927 38 H 0.077 0.923 39 H 0.085 0.915 40 H 0.082 0.918 41 H 0.069 0.931 42 H 0.069 0.931 43 H 0.059 0.941 44 H 0.069 0.931 45 H 0.088 0.912 46 H 0.066 0.934 47 H 0.080 0.920 48 H 0.066 0.934 49 H 0.088 0.912 50 H 0.070 0.930 51 H 0.059 0.941 52 H 0.083 0.917 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.166 -5.479 26.292 28.378 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 -0.221 4.221 2 C -0.037 4.037 3 N -0.190 5.190 4 C -0.441 4.441 5 H 0.121 0.879 6 C -0.146 4.146 7 N -0.501 5.501 8 Si 0.701 3.299 9 H -0.203 1.203 10 H -0.214 1.214 11 H -0.189 1.189 12 C 0.253 3.747 13 O -0.450 6.450 14 C -0.182 4.182 15 C -0.126 4.126 16 C -0.120 4.120 17 H 0.105 0.895 18 C -0.166 4.166 19 C -0.017 4.017 20 N -0.346 5.346 21 C 0.421 3.579 22 O -0.456 6.456 23 O -0.278 6.278 24 C 0.098 3.902 25 C -0.241 4.241 26 C -0.197 4.197 27 C -0.241 4.241 28 C 0.006 3.994 29 H 0.073 0.927 30 H 0.071 0.929 31 H 0.085 0.915 32 H 0.092 0.908 33 H 0.077 0.923 34 H 0.083 0.917 35 H 0.098 0.902 36 H 0.100 0.900 37 H 0.092 0.908 38 H 0.095 0.905 39 H 0.104 0.896 40 H 0.101 0.899 41 H 0.087 0.913 42 H 0.087 0.913 43 H 0.078 0.922 44 H 0.088 0.912 45 H 0.107 0.893 46 H 0.085 0.915 47 H 0.099 0.901 48 H 0.085 0.915 49 H 0.107 0.893 50 H 0.088 0.912 51 H 0.078 0.922 52 H 0.102 0.898 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -9.269 -5.185 25.950 28.039 hybrid contribution 0.448 -1.053 0.038 1.145 sum -8.821 -6.237 25.987 28.143 Atomic orbital electron populations 1.22143 0.96319 1.01019 1.02637 1.21779 0.94635 0.85837 1.01438 1.43807 1.57226 1.11456 1.06489 1.19015 1.36827 0.98451 0.89804 0.87915 1.25365 0.96390 0.98118 0.94749 1.69776 1.40282 1.40282 0.99718 0.87004 0.80328 0.82921 0.79643 1.20261 1.21413 1.18858 1.20277 0.82050 0.87817 0.84512 1.90547 1.49553 1.18362 1.86536 1.21755 1.02533 0.99582 0.94346 1.21233 1.03119 0.97926 0.90303 1.22489 0.94403 0.99354 0.95743 0.89500 1.22731 0.98972 0.99944 0.94959 1.22046 0.89645 0.95073 0.94914 1.47208 1.25689 1.52447 1.09218 1.17501 0.80717 0.78613 0.81047 1.90911 1.46798 1.46571 1.61329 1.86301 1.48831 1.70441 1.22208 1.22067 0.82901 0.91300 0.93882 1.22517 1.02359 0.94058 1.05130 1.21850 1.02998 1.03207 0.91634 1.22519 0.96173 1.01099 1.04288 1.22422 0.95204 1.03095 0.78707 0.92707 0.92895 0.91542 0.90789 0.92287 0.91687 0.90227 0.90042 0.90812 0.90461 0.89610 0.89933 0.91279 0.91308 0.92228 0.91161 0.89311 0.91511 0.90149 0.91514 0.89302 0.91156 0.92214 0.89845 0.90661 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -2.75 10.11 37.15 0.38 -2.37 16 2 C 0.09 1.72 4.46 -4.04 -0.02 1.70 16 3 N -0.47 -11.20 2.18 -114.81 -0.25 -11.45 16 4 C -0.31 -8.89 9.35 -14.93 -0.14 -9.03 16 5 H 0.10 3.28 7.92 -52.49 -0.42 2.87 16 6 C 0.06 1.64 5.24 -17.47 -0.09 1.55 16 7 N -0.86 -25.08 13.96 55.50 0.77 -24.31 16 8 Si 0.87 20.56 25.12 -169.99 -4.27 16.29 16 9 H -0.28 -6.04 6.67 56.52 0.38 -5.66 16 10 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 11 H -0.26 -6.15 7.11 56.52 0.40 -5.75 16 12 C 0.46 10.47 7.57 -10.99 -0.08 10.39 16 13 O -0.57 -14.95 15.85 5.55 0.09 -14.86 16 14 C -0.14 -2.25 4.16 -27.89 -0.12 -2.36 16 15 C -0.09 -1.18 4.02 -26.73 -0.11 -1.29 16 16 C -0.10 -1.03 3.07 -88.47 -0.27 -1.31 16 17 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 18 C -0.13 -1.07 6.42 -24.89 -0.16 -1.23 16 19 C 0.11 0.93 6.90 -3.06 -0.02 0.91 16 20 N -0.60 -6.95 3.33 -176.29 -0.59 -7.53 16 21 C 0.67 8.65 7.93 54.05 0.43 9.08 16 22 O -0.57 -8.54 12.14 -19.28 -0.23 -8.77 16 23 O -0.36 -4.12 9.49 -40.30 -0.38 -4.51 16 24 C 0.14 1.24 1.13 -90.62 -0.10 1.14 16 25 C -0.18 -1.66 8.37 37.16 0.31 -1.35 16 26 C -0.14 -0.88 8.85 37.15 0.33 -0.55 16 27 C -0.18 -1.67 8.37 37.16 0.31 -1.36 16 28 C 0.13 1.44 5.56 -2.52 -0.01 1.42 16 29 H 0.05 0.77 8.14 -51.93 -0.42 0.34 16 30 H 0.05 0.82 6.38 -51.93 -0.33 0.49 16 31 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 32 H 0.07 1.58 3.72 -51.93 -0.19 1.38 16 33 H 0.06 0.99 6.74 -51.93 -0.35 0.64 16 34 H 0.27 7.33 8.31 -40.82 -0.34 6.99 16 35 H 0.08 1.14 7.42 -51.93 -0.39 0.76 16 36 H 0.08 1.16 5.66 -51.93 -0.29 0.87 16 37 H 0.07 1.06 8.06 -51.93 -0.42 0.65 16 38 H 0.08 1.11 8.10 -51.93 -0.42 0.69 16 39 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 40 H 0.08 0.69 8.04 -51.93 -0.42 0.28 16 41 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 42 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 43 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 44 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.09 1.03 5.88 -51.93 -0.31 0.73 16 46 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 47 H 0.08 0.37 8.14 -51.93 -0.42 -0.06 16 48 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 49 H 0.09 1.04 5.88 -51.93 -0.31 0.74 16 50 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 51 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 52 H 0.08 1.00 7.96 -51.93 -0.41 0.59 16 53 H 0.08 0.88 8.01 -51.93 -0.42 0.47 16 LS Contribution 408.38 15.07 6.15 6.15 Total: -1.00 -33.66 408.38 -7.40 -41.05 By element: Atomic # 1 Polarization: 11.91 SS G_CDS: -9.32 Total: 2.59 kcal Atomic # 6 Polarization: 4.71 SS G_CDS: 0.63 Total: 5.34 kcal Atomic # 7 Polarization: -43.23 SS G_CDS: -0.06 Total: -43.29 kcal Atomic # 8 Polarization: -27.61 SS G_CDS: -0.53 Total: -28.14 kcal Atomic # 14 Polarization: 20.56 SS G_CDS: -4.27 Total: 16.29 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -33.66 -7.40 -41.05 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. ZINC000494065459.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 -73.999 kcal (2) G-P(sol) polarization free energy of solvation -33.656 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.655 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.397 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.053 kcal (6) G-S(sol) free energy of system = (1) + (5) -115.052 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds