Wall clock time and date at job start Sat Mar 6 2021 23:54:12 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= 0 * 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 O 2 2 C 1.42897 * 1 3 3 Si 1.86303 * 109.47268 * 2 1 4 4 C 1.50699 * 109.47070 * 239.99934 * 2 1 3 5 5 C 1.38324 * 119.87874 * 119.72320 * 4 2 1 6 6 C 1.38023 * 120.12117 * 179.76610 * 5 4 2 7 7 C 1.39343 * 119.87383 * 0.51263 * 6 5 4 8 8 C 1.48389 * 120.11671 * 179.72525 * 7 6 5 9 9 C 1.39314 * 120.12305 * 56.06431 * 8 7 6 10 10 C 1.50700 * 120.06310 * 359.97438 * 9 8 7 11 11 C 1.50703 * 109.47124 * 83.16623 * 10 9 8 12 12 O 1.21286 * 119.99695 * 5.68507 * 11 10 9 13 13 N 1.34769 * 120.00230 * 185.68903 * 11 10 9 14 14 C 1.46504 * 120.00144 * 180.02562 * 13 11 10 15 15 H 1.08999 * 109.46699 * 325.00248 * 14 13 11 16 16 C 1.52998 * 109.47279 * 84.99622 * 14 13 11 17 17 C 1.52992 * 109.47582 * 180.02562 * 16 14 13 18 18 C 1.53004 * 109.46857 * 300.00283 * 17 16 14 19 19 H 1.09004 * 109.46934 * 179.97438 * 18 17 16 20 20 O 1.42899 * 109.47056 * 299.99284 * 18 17 16 21 21 C 1.53001 * 109.47054 * 59.99830 * 18 17 16 22 22 C 1.52994 * 109.46930 * 299.99631 * 21 18 17 23 23 C 1.38043 * 119.87840 * 179.77198 * 9 8 7 24 24 C 1.38303 * 120.12011 * 0.50378 * 23 9 8 25 25 C 1.38342 * 120.24226 * 359.74430 * 24 23 9 26 26 C 1.38000 * 120.12425 * 0.02562 * 25 24 23 27 27 C 1.39339 * 119.76115 * 359.74247 * 7 6 5 28 28 C 1.38022 * 119.87591 * 0.02562 * 27 7 6 29 29 H 0.96700 * 114.00145 * 59.99520 * 1 2 3 30 30 H 1.08996 * 109.46803 * 120.00133 * 2 1 3 31 31 H 1.48493 * 109.99715 * 60.00196 * 3 2 1 32 32 H 1.48500 * 109.99685 * 181.31854 * 3 2 1 33 33 H 1.07999 * 119.93811 * 0.02562 * 5 4 2 34 34 H 1.07993 * 120.06165 * 180.28086 * 6 5 4 35 35 H 1.09001 * 109.47528 * 203.16708 * 10 9 8 36 36 H 1.09001 * 109.47106 * 323.17069 * 10 9 8 37 37 H 0.97000 * 120.00010 * 359.97438 * 13 11 10 38 38 H 1.09004 * 109.46967 * 300.00474 * 16 14 13 39 39 H 1.09000 * 109.47077 * 59.99951 * 16 14 13 40 40 H 1.09000 * 109.47702 * 179.97438 * 17 16 14 41 41 H 1.09000 * 109.47102 * 59.99786 * 17 16 14 42 42 H 0.96693 * 114.00126 * 300.00649 * 20 18 17 43 43 H 1.09004 * 109.46766 * 179.97438 * 21 18 17 44 44 H 1.09000 * 109.47433 * 60.00174 * 21 18 17 45 45 H 1.09000 * 109.47506 * 300.00499 * 22 21 18 46 46 H 1.09003 * 109.46988 * 180.02562 * 22 21 18 47 47 H 1.07999 * 119.94373 * 180.25723 * 23 9 8 48 48 H 1.08001 * 119.88047 * 179.72501 * 24 23 9 49 49 H 1.07996 * 119.93917 * 179.97438 * 25 24 23 50 50 H 1.07996 * 120.06748 * 180.02562 * 26 25 24 51 51 H 1.07994 * 120.05769 * 180.02562 * 27 7 6 52 52 H 1.07991 * 119.93567 * 179.97438 * 28 27 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0500 1.7565 0.0000 4 6 1.9313 -0.7104 -1.2305 5 6 2.7216 -0.0341 -2.1422 6 6 3.1884 -0.6813 -3.2684 7 6 2.8532 -2.0153 -3.4914 8 6 3.3471 -2.7145 -4.7035 9 6 4.7134 -2.7720 -4.9696 10 6 5.6940 -2.1232 -4.0270 11 6 5.9850 -3.0593 -2.8824 12 8 5.5310 -4.1840 -2.8884 13 7 6.7497 -2.6468 -1.8521 14 6 7.0330 -3.5570 -0.7397 15 1 6.1643 -4.1897 -0.5577 16 6 8.2371 -4.4330 -1.0914 17 6 8.5326 -5.3840 0.0700 18 6 8.8436 -4.5710 1.3283 19 1 9.0538 -5.2486 2.1559 20 8 9.9827 -3.7417 1.0901 21 6 7.6395 -3.6951 1.6801 22 6 7.3441 -2.7441 0.5186 23 6 5.1675 -3.4278 -6.0962 24 6 4.2683 -4.0183 -6.9654 25 6 2.9101 -3.9598 -6.7087 26 6 2.4454 -3.3109 -5.5829 27 6 2.0524 -2.6902 -2.5723 28 6 1.5951 -2.0346 -1.4471 29 1 -0.3933 0.4418 -0.7650 30 1 1.7922 -0.5138 0.8900 31 1 1.5616 2.4678 1.2085 32 1 3.5346 1.7702 -0.0321 33 1 2.9774 1.0010 -1.9704 34 1 3.8091 -0.1537 -3.9773 35 1 6.6189 -1.9026 -4.5600 36 1 5.2680 -1.1976 -3.6399 37 1 7.1130 -1.7474 -1.8475 38 1 8.0153 -5.0125 -1.9877 39 1 9.1058 -3.8004 -1.2736 40 1 9.3902 -6.0085 -0.1808 41 1 7.6638 -6.0166 0.2517 42 1 10.7846 -4.2312 0.8612 43 1 7.8609 -3.1163 2.5768 44 1 6.7707 -4.3277 1.8618 45 1 8.2129 -2.1115 0.3369 46 1 6.4865 -2.1197 0.7694 47 1 6.2267 -3.4766 -6.3013 48 1 4.6276 -4.5266 -7.8479 49 1 2.2123 -4.4222 -7.3909 50 1 1.3850 -3.2661 -5.3832 51 1 1.7900 -3.7242 -2.7401 52 1 0.9740 -2.5566 -0.7343 There are 68 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 68 No. of singly occupied orbitals= 1 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=0 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 s_22_12892148_13158394.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 23:54:12 Heat of formation + Delta-G solvation = -74.083506 kcal Electronic energy + Delta-G solvation = -34090.866415 eV Core-core repulsion = 29792.799491 eV Total energy + Delta-G solvation = -4298.066924 eV No. of doubly occupied orbitals = 68 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 368.182 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -41.51874 -40.75125 -39.86944 -39.24663 -37.54413 -36.61311 -34.37504 -34.08163 -33.39857 -31.93319 -31.87306 -30.72102 -30.08780 -28.25999 -26.53768 -24.07615 -23.84433 -23.64109 -23.32495 -22.41338 -21.65838 -21.27302 -20.75666 -18.60174 -18.09409 -17.94668 -17.71450 -17.36012 -16.81448 -16.71769 -16.55903 -16.27695 -16.17514 -15.84133 -15.56557 -15.47161 -15.34919 -14.80721 -14.71772 -14.55898 -14.41716 -14.20241 -14.06694 -13.90450 -13.67430 -13.61175 -13.28177 -13.23875 -13.18481 -13.04121 -12.90266 -12.49470 -12.31966 -12.21846 -12.08353 -12.00028 -11.84789 -11.62349 -11.57755 -11.29762 -10.91969 -10.65067 -10.47649 -10.09147 -9.95456 -9.91887 -9.67451 -9.16470 -5.06679 -0.05073 0.40314 0.47451 0.67130 1.26973 1.58975 1.77815 1.94038 2.21261 2.66012 2.93563 3.24673 3.43534 3.55838 3.64162 3.67515 3.70113 3.73194 3.90028 3.93894 3.95792 3.98395 3.99757 4.08286 4.18281 4.19776 4.28617 4.36921 4.38968 4.44336 4.44823 4.46619 4.47645 4.56007 4.60600 4.62058 4.72583 4.85322 4.88305 4.89875 4.99093 5.00227 5.02812 5.11276 5.11856 5.13982 5.24414 5.35323 5.35541 5.44560 5.52013 5.58320 5.59231 5.63882 5.71310 5.95707 6.08825 6.55787 6.57110 6.65669 7.34730 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.540 6.540 2 C -0.068 4.068 3 Si 0.688 3.312 4 C -0.119 4.119 5 C -0.116 4.116 6 C -0.111 4.111 7 C -0.035 4.035 8 C -0.038 4.038 9 C -0.051 4.051 10 C -0.115 4.115 11 C 0.519 3.481 12 O -0.527 6.527 13 N -0.729 5.729 14 C 0.148 3.852 15 H 0.085 0.915 16 C -0.123 4.123 17 C -0.150 4.150 18 C 0.102 3.898 19 H 0.057 0.943 20 O -0.564 6.564 21 C -0.109 4.109 22 C -0.122 4.122 23 C -0.105 4.105 24 C -0.114 4.114 25 C -0.117 4.117 26 C -0.104 4.104 27 C -0.098 4.098 28 C -0.088 4.088 29 H 0.379 0.621 30 H 0.112 0.888 31 H -0.255 1.255 32 H -0.258 1.258 33 H 0.128 0.872 34 H 0.129 0.871 35 H 0.104 0.896 36 H 0.108 0.892 37 H 0.399 0.601 38 H 0.065 0.935 39 H 0.070 0.930 40 H 0.068 0.932 41 H 0.074 0.926 42 H 0.377 0.623 43 H 0.075 0.925 44 H 0.078 0.922 45 H 0.077 0.923 46 H 0.066 0.934 47 H 0.122 0.878 48 H 0.124 0.876 49 H 0.125 0.875 50 H 0.124 0.876 51 H 0.125 0.875 52 H 0.127 0.873 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.819 2.675 -1.963 3.784 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 O -0.345 6.345 2 C -0.179 4.179 3 Si 0.590 3.410 4 C -0.119 4.119 5 C -0.133 4.133 6 C -0.129 4.129 7 C -0.035 4.035 8 C -0.038 4.038 9 C -0.052 4.052 10 C -0.154 4.154 11 C 0.305 3.695 12 O -0.402 6.402 13 N -0.381 5.381 14 C 0.044 3.956 15 H 0.103 0.897 16 C -0.162 4.162 17 C -0.189 4.189 18 C 0.044 3.956 19 H 0.075 0.925 20 O -0.370 6.370 21 C -0.147 4.147 22 C -0.160 4.160 23 C -0.123 4.123 24 C -0.132 4.132 25 C -0.135 4.135 26 C -0.122 4.122 27 C -0.116 4.116 28 C -0.106 4.106 29 H 0.226 0.774 30 H 0.130 0.870 31 H -0.180 1.180 32 H -0.183 1.183 33 H 0.145 0.855 34 H 0.147 0.853 35 H 0.122 0.878 36 H 0.126 0.874 37 H 0.233 0.767 38 H 0.084 0.916 39 H 0.089 0.911 40 H 0.087 0.913 41 H 0.092 0.908 42 H 0.224 0.776 43 H 0.093 0.907 44 H 0.096 0.904 45 H 0.096 0.904 46 H 0.085 0.915 47 H 0.140 0.860 48 H 0.142 0.858 49 H 0.143 0.857 50 H 0.142 0.858 51 H 0.143 0.857 52 H 0.145 0.855 Dipole moment (debyes) X Y Z Total from point charges 1.611 2.612 -0.846 3.183 hybrid contribution 0.741 -0.830 -0.022 1.113 sum 2.351 1.782 -0.869 3.076 Atomic orbital electron populations 1.86504 1.17061 1.81698 1.49253 1.25055 0.85292 1.10025 0.97530 0.94716 0.80926 0.78170 0.87211 1.20361 0.99326 0.95259 0.96985 1.20903 0.98620 0.99220 0.94564 1.21131 1.00378 0.93798 0.97560 1.18793 0.97356 0.93351 0.93998 1.18536 0.92483 0.98759 0.93978 1.19190 0.92270 0.98816 0.94914 1.20904 1.00310 0.99388 0.94847 1.20451 0.77730 0.88314 0.83021 1.90733 1.50689 1.20367 1.78383 1.46068 1.53089 1.17243 1.21666 1.20944 0.98100 0.91230 0.85321 0.89732 1.21799 0.98240 0.97987 0.98168 1.22216 1.02599 0.98270 0.95774 1.21803 0.86642 0.91616 0.95574 0.92493 1.86501 1.20482 1.37419 1.92553 1.21490 0.96500 0.98258 0.98431 1.21702 1.02209 0.98348 0.93778 1.20923 0.99716 0.97507 0.94166 1.21189 0.93332 0.99253 0.99467 1.21115 0.95789 0.99164 0.97407 1.21163 0.99274 0.97431 0.94291 1.21270 0.96730 0.99897 0.93679 1.20954 0.98708 0.93759 0.97223 0.77359 0.87021 1.17989 1.18288 0.85503 0.85298 0.87798 0.87402 0.76716 0.91601 0.91138 0.91309 0.90754 0.77564 0.90662 0.90377 0.90405 0.91528 0.85976 0.85816 0.85722 0.85779 0.85685 0.85531 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 O -0.54 -0.26 12.76 -35.23 -0.45 -0.71 16 2 C -0.07 0.00 2.82 36.01 0.10 0.10 16 3 Si 0.69 -0.74 29.78 -169.99 -5.06 -5.80 16 4 C -0.12 -0.05 5.40 -104.56 -0.56 -0.61 16 5 C -0.12 0.06 8.65 -39.63 -0.34 -0.29 16 6 C -0.11 0.00 7.77 -39.25 -0.31 -0.30 16 7 C -0.03 -0.06 4.88 -104.90 -0.51 -0.57 16 8 C -0.04 -0.08 5.40 -104.90 -0.57 -0.65 16 9 C -0.05 -0.09 4.38 -104.29 -0.46 -0.55 16 10 C -0.11 0.01 5.32 -29.03 -0.15 -0.14 16 11 C 0.52 1.17 7.73 -10.99 -0.08 1.09 16 12 O -0.53 -3.34 15.71 5.55 0.09 -3.26 16 13 N -0.73 -0.13 5.08 -53.81 -0.27 -0.40 16 14 C 0.15 0.12 2.45 -67.93 -0.17 -0.05 16 15 H 0.08 0.25 7.58 -51.93 -0.39 -0.14 16 16 C -0.12 -0.08 5.35 -26.74 -0.14 -0.23 16 17 C -0.15 0.07 5.64 -26.73 -0.15 -0.08 16 18 C 0.10 -0.06 3.77 -26.73 -0.10 -0.16 16 19 H 0.06 -0.07 8.14 -51.93 -0.42 -0.49 16 20 O -0.56 0.02 11.97 -35.23 -0.42 -0.40 16 21 C -0.11 0.04 5.66 -26.73 -0.15 -0.11 16 22 C -0.12 0.03 5.25 -26.74 -0.14 -0.11 16 23 C -0.11 -0.16 9.66 -39.63 -0.38 -0.55 16 24 C -0.11 -0.14 10.04 -39.52 -0.40 -0.54 16 25 C -0.12 -0.15 10.03 -39.63 -0.40 -0.54 16 26 C -0.10 -0.18 9.62 -39.25 -0.38 -0.56 16 27 C -0.10 -0.20 9.62 -39.25 -0.38 -0.58 16 28 C -0.09 -0.13 9.59 -39.63 -0.38 -0.51 16 29 H 0.38 -1.26 8.70 45.56 0.40 -0.87 16 30 H 0.11 0.06 7.96 -51.93 -0.41 -0.35 16 31 H -0.25 -0.57 7.11 56.52 0.40 -0.17 16 32 H -0.26 -0.23 7.11 56.52 0.40 0.18 16 33 H 0.13 -0.31 4.86 -52.49 -0.26 -0.57 16 34 H 0.13 -0.23 7.09 -52.49 -0.37 -0.60 16 35 H 0.10 -0.24 8.04 -51.93 -0.42 -0.66 16 36 H 0.11 -0.17 4.69 -51.93 -0.24 -0.41 16 37 H 0.40 -0.88 8.60 -40.82 -0.35 -1.23 16 38 H 0.07 0.17 8.14 -51.93 -0.42 -0.25 16 39 H 0.07 0.05 7.68 -51.93 -0.40 -0.35 16 40 H 0.07 -0.09 8.14 -51.93 -0.42 -0.51 16 41 H 0.07 -0.01 8.14 -51.93 -0.42 -0.43 16 42 H 0.38 -1.25 9.08 45.56 0.41 -0.84 16 43 H 0.07 -0.02 8.14 -51.93 -0.42 -0.44 16 44 H 0.08 -0.07 8.14 -51.93 -0.42 -0.50 16 45 H 0.08 0.02 7.68 -51.93 -0.40 -0.38 16 46 H 0.07 -0.02 8.14 -51.93 -0.42 -0.44 16 47 H 0.12 -0.01 8.06 -52.49 -0.42 -0.43 16 48 H 0.12 -0.08 8.06 -52.49 -0.42 -0.50 16 49 H 0.12 -0.08 8.06 -52.49 -0.42 -0.50 16 50 H 0.12 0.06 8.06 -52.49 -0.42 -0.36 16 51 H 0.13 0.25 8.06 -52.49 -0.42 -0.17 16 52 H 0.13 0.15 8.06 -52.49 -0.42 -0.28 16 LS Contribution 415.87 15.07 6.27 6.27 Total: 0.00 -8.90 415.87 -13.03 -21.93 By element: Atomic # 1 Polarization: -4.57 SS G_CDS: -7.13 Total: -11.70 kcal Atomic # 6 Polarization: 0.12 SS G_CDS: -6.05 Total: -5.93 kcal Atomic # 7 Polarization: -0.13 SS G_CDS: -0.27 Total: -0.40 kcal Atomic # 8 Polarization: -3.58 SS G_CDS: -0.78 Total: -4.37 kcal Atomic # 14 Polarization: -0.74 SS G_CDS: -5.06 Total: -5.80 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -8.90 -13.03 -21.93 kcal The number of atoms in the molecule is 52 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. s_22_12892148_13158394.mol2 52 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 -52.149 kcal (2) G-P(sol) polarization free energy of solvation -8.902 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -61.051 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -13.032 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -21.934 kcal (6) G-S(sol) free energy of system = (1) + (5) -74.084 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds