Wall clock time and date at job start Sat Apr 11 2020 06:11:23 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 1.52998 * 1 3 3 C 1.53003 * 109.47076 * 2 1 4 4 C 1.52999 * 109.47132 * 119.99888 * 2 1 3 5 5 O 1.42903 * 109.46989 * 175.00156 * 4 2 1 6 6 C 1.42900 * 113.99671 * 180.02562 * 5 4 2 7 7 C 1.53003 * 109.47150 * 179.97438 * 6 5 4 8 8 C 1.50693 * 109.47464 * 179.97438 * 7 6 5 9 9 O 1.21290 * 119.99800 * 0.02562 * 8 7 6 10 10 N 1.34773 * 120.00393 * 179.97438 * 8 7 6 11 11 C 1.46988 * 120.72123 * 0.02562 * 10 8 7 12 12 C 1.53159 * 108.43777 * 125.42289 * 11 10 8 13 13 C 1.52505 * 109.79796 * 54.53489 * 12 11 10 14 14 H 1.09003 * 108.93109 * 180.33887 * 13 12 11 15 15 O 1.42686 * 110.62391 * 61.30541 * 13 12 11 16 16 C 1.43076 * 113.88020 * 174.65524 * 15 13 12 17 17 C 1.53233 * 109.44263 * 61.64679 * 16 15 13 18 18 N 1.47169 * 108.69417 * 308.40967 * 17 16 15 19 19 C 1.36932 * 121.22327 * 230.97314 * 18 17 16 20 20 H 1.08003 * 120.00426 * 153.52126 * 19 18 17 21 21 C 1.38820 * 120.00132 * 333.52247 * 19 18 17 22 22 N 1.31617 * 119.99830 * 343.46225 * 21 19 18 23 23 Si 1.86796 * 120.00199 * 163.46343 * 21 19 18 24 24 H 1.48507 * 109.47067 * 89.99831 * 23 21 19 25 25 H 1.48490 * 109.47413 * 210.00085 * 23 21 19 26 26 H 1.48506 * 109.47198 * 330.00110 * 23 21 19 27 27 C 1.47596 * 117.55730 * 50.95211 * 18 17 16 28 28 H 1.08992 * 111.16695 * 187.20297 * 27 18 17 29 29 C 1.46795 * 120.72464 * 179.97438 * 10 8 7 30 30 H 1.08998 * 109.47031 * 299.99930 * 1 2 3 31 31 H 1.08997 * 109.47115 * 59.99899 * 1 2 3 32 32 H 1.09003 * 109.47237 * 180.02562 * 1 2 3 33 33 H 1.08998 * 109.47031 * 240.00070 * 2 1 3 34 34 H 1.09006 * 109.46994 * 180.02562 * 3 2 1 35 35 H 1.09001 * 109.47287 * 299.99513 * 3 2 1 36 36 H 1.08998 * 109.47134 * 60.00133 * 3 2 1 37 37 H 1.08996 * 109.47339 * 55.00150 * 4 2 1 38 38 H 1.08999 * 109.47022 * 295.00201 * 4 2 1 39 39 H 1.08998 * 109.47484 * 59.99733 * 6 5 4 40 40 H 1.09006 * 109.47218 * 299.99537 * 6 5 4 41 41 H 1.08998 * 109.47119 * 59.99540 * 7 6 5 42 42 H 1.09006 * 109.46708 * 299.99881 * 7 6 5 43 43 H 1.09005 * 109.63756 * 5.74664 * 11 10 8 44 44 H 1.08990 * 109.81753 * 245.20950 * 11 10 8 45 45 H 1.09000 * 109.41632 * 294.43684 * 12 11 10 46 46 H 1.09001 * 109.35916 * 174.60169 * 12 11 10 47 47 H 1.09000 * 109.47277 * 301.65472 * 16 15 13 48 48 H 1.08999 * 109.47969 * 181.64578 * 16 15 13 49 49 H 1.09003 * 109.59295 * 188.64687 * 17 16 15 50 50 H 1.08996 * 109.73237 * 68.25396 * 17 16 15 51 51 H 0.96990 * 119.99815 * 179.97438 * 22 21 19 52 52 H 1.09000 * 109.51688 * 354.22724 * 29 10 8 53 53 H 1.08998 * 109.51867 * 114.34668 * 29 10 8 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 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7212 1.2492 5 8 3.4642 -0.8237 1.1920 6 6 4.0449 -1.4855 2.3175 7 6 5.5648 -1.5382 2.1499 8 6 6.1773 -2.2355 3.3371 9 8 5.4680 -2.6501 4.2293 10 7 7.5132 -2.3994 3.4070 11 6 8.3877 -1.9038 2.3345 12 6 9.4474 -0.9897 2.9571 13 6 10.1799 -1.7315 4.0702 14 1 10.9255 -1.0670 4.5068 15 8 10.8491 -2.8805 3.5526 16 6 11.6588 -3.5619 4.5155 17 6 10.7736 -4.0695 5.6586 18 7 9.9579 -2.9503 6.1564 19 6 9.9055 -2.6486 7.4910 20 1 9.6868 -1.6398 7.8085 21 6 10.1335 -3.6396 8.4361 22 7 10.0767 -4.9074 8.0871 23 14 10.5210 -3.1737 10.2030 24 1 9.2575 -3.0732 10.9769 25 1 11.3915 -4.2128 10.8094 26 1 11.2220 -1.8648 10.2275 27 6 9.1987 -2.1645 5.1641 28 1 8.7359 -1.2915 5.6241 29 6 8.1267 -3.0758 4.5563 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3634 -1.0277 0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6767 1.9564 -0.8900 36 1 1.6767 1.9563 0.8900 37 1 1.6054 -1.7197 1.2952 38 1 1.7516 -0.1583 2.1369 39 1 3.6519 -2.4999 2.3852 40 1 3.7982 -0.9388 3.2277 41 1 5.9582 -0.5239 2.0819 42 1 5.8112 -2.0852 1.2398 43 1 7.7976 -1.3409 1.6113 44 1 8.8742 -2.7427 1.8370 45 1 8.9646 -0.1035 3.3689 46 1 10.1617 -0.6900 2.1902 47 1 12.4067 -2.8753 4.9124 48 1 12.1571 -4.4062 4.0392 49 1 11.4005 -4.4518 6.4643 50 1 10.1217 -4.8635 5.2945 51 1 10.2364 -5.5997 8.7473 52 1 7.3628 -3.2882 5.3042 53 1 8.5844 -4.0090 4.2280 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 ZINC001176930158.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 06:11:23 Heat of formation + Delta-G solvation = -110.949649 kcal Electronic energy + Delta-G solvation = -31069.617217 eV Core-core repulsion = 26941.843820 eV Total energy + Delta-G solvation = -4127.773396 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.23 seconds Orbital eigenvalues (eV) -40.18164 -38.83841 -38.22424 -35.79062 -35.35712 -34.65553 -32.14988 -31.55727 -31.18446 -29.44460 -27.50307 -27.43817 -26.32077 -25.01992 -23.98868 -23.20603 -22.52964 -21.44424 -20.55549 -19.26506 -18.25397 -17.45266 -16.92931 -16.57596 -16.19512 -15.57488 -15.46158 -15.41313 -15.12514 -14.94546 -14.70697 -14.43867 -14.12098 -13.83118 -13.52981 -13.25281 -13.16000 -13.01919 -12.86185 -12.63838 -12.48744 -12.33714 -12.22585 -12.01963 -11.60687 -11.51037 -11.35191 -11.29030 -11.08219 -11.06748 -10.92387 -10.84637 -10.77288 -10.59750 -10.28064 -10.19827 -10.01154 -9.72632 -9.64476 -9.51308 -9.01128 -8.60892 -8.24756 -6.77239 -5.87660 -3.31551 2.85678 3.03325 3.33488 3.40395 3.41993 3.66763 4.31084 4.40172 4.54641 4.59583 4.68985 4.79005 4.93412 4.97092 5.09111 5.14955 5.20964 5.22017 5.28496 5.30688 5.32023 5.40613 5.44012 5.47124 5.55654 5.63419 5.63829 5.69550 5.74728 5.76495 5.78271 5.79243 5.98045 6.00354 6.03970 6.05211 6.08196 6.15155 6.29578 6.33733 6.42200 6.66574 6.74323 6.94323 7.04177 7.07061 7.46878 7.69423 7.73408 7.87306 8.28572 8.43544 9.07234 9.68819 10.26282 11.19987 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016670 B = 0.002348 C = 0.002165 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1679.299534 B =11924.524358 C =12929.543266 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.096 4.096 3 C -0.144 4.144 4 C 0.067 3.933 5 O -0.391 6.391 6 C 0.079 3.921 7 C -0.136 4.136 8 C 0.513 3.487 9 O -0.546 6.546 10 N -0.604 5.604 11 C 0.111 3.889 12 C -0.123 4.123 13 C 0.080 3.920 14 H 0.052 0.948 15 O -0.388 6.388 16 C 0.040 3.960 17 C 0.138 3.862 18 N -0.584 5.584 19 C -0.255 4.255 20 H 0.068 0.932 21 C 0.005 3.995 22 N -0.900 5.900 23 Si 0.906 3.094 24 H -0.286 1.286 25 H -0.289 1.289 26 H -0.279 1.279 27 C 0.135 3.865 28 H 0.074 0.926 29 C 0.105 3.895 30 H 0.056 0.944 31 H 0.060 0.940 32 H 0.056 0.944 33 H 0.078 0.922 34 H 0.063 0.937 35 H 0.052 0.948 36 H 0.052 0.948 37 H 0.048 0.952 38 H 0.049 0.951 39 H 0.057 0.943 40 H 0.057 0.943 41 H 0.099 0.901 42 H 0.098 0.902 43 H 0.080 0.920 44 H 0.077 0.923 45 H 0.077 0.923 46 H 0.078 0.922 47 H 0.041 0.959 48 H 0.081 0.919 49 H 0.096 0.904 50 H 0.029 0.971 51 H 0.256 0.744 52 H 0.089 0.911 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.489 9.237 -17.486 21.935 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 -0.204 4.204 2 C -0.114 4.114 3 C -0.202 4.202 4 C -0.009 4.009 5 O -0.310 6.310 6 C 0.002 3.998 7 C -0.176 4.176 8 C 0.301 3.699 9 O -0.424 6.424 10 N -0.338 5.338 11 C -0.012 4.012 12 C -0.162 4.162 13 C 0.021 3.979 14 H 0.070 0.930 15 O -0.307 6.307 16 C -0.038 4.038 17 C 0.012 3.988 18 N -0.306 5.306 19 C -0.385 4.385 20 H 0.086 0.914 21 C -0.194 4.194 22 N -0.544 5.544 23 Si 0.735 3.265 24 H -0.212 1.212 25 H -0.215 1.215 26 H -0.204 1.204 27 C 0.026 3.974 28 H 0.092 0.908 29 C -0.018 4.018 30 H 0.075 0.925 31 H 0.079 0.921 32 H 0.075 0.925 33 H 0.096 0.904 34 H 0.082 0.918 35 H 0.071 0.929 36 H 0.071 0.929 37 H 0.066 0.934 38 H 0.067 0.933 39 H 0.075 0.925 40 H 0.076 0.924 41 H 0.117 0.883 42 H 0.117 0.883 43 H 0.098 0.902 44 H 0.095 0.905 45 H 0.096 0.904 46 H 0.096 0.904 47 H 0.059 0.941 48 H 0.099 0.901 49 H 0.114 0.886 50 H 0.047 0.953 51 H 0.066 0.934 52 H 0.107 0.893 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -9.720 8.859 -17.184 21.639 hybrid contribution 0.189 -0.002 1.475 1.487 sum -9.531 8.857 -15.709 20.397 Atomic orbital electron populations 1.21792 0.94400 1.02014 1.02206 1.21103 0.95411 0.96966 0.97927 1.21789 1.02003 0.95052 1.01331 1.22553 0.81132 0.99249 0.97989 1.87770 1.20039 1.79309 1.43913 1.22123 0.92096 0.97158 0.88453 1.21485 0.95173 1.02769 0.98223 1.20318 0.82252 0.79814 0.87556 1.90717 1.60479 1.50751 1.40449 1.48282 1.05368 1.57618 1.22511 1.21675 0.91993 0.98233 0.89312 1.21800 0.97761 0.98012 0.98583 1.22241 0.94552 0.87443 0.93707 0.93039 1.87710 1.63770 1.42208 1.37042 1.23326 0.93372 0.95599 0.91515 1.21466 0.93355 0.89406 0.94563 1.44279 1.49140 1.34806 1.02376 1.19155 1.44975 0.93473 0.80853 0.91377 1.25070 1.01133 0.95098 0.98105 1.70014 1.51956 0.98542 1.33865 0.86250 0.78099 0.77592 0.84550 1.21244 1.21476 1.20435 1.21569 0.90711 0.95030 0.90067 0.90790 1.22330 0.96560 0.96224 0.86709 0.92477 0.92053 0.92498 0.90400 0.91765 0.92901 0.92900 0.93364 0.93290 0.92504 0.92436 0.88274 0.88330 0.90176 0.90519 0.90441 0.90363 0.94093 0.90124 0.88639 0.95305 0.93425 0.89296 0.91350 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.15 -0.90 9.19 37.16 0.34 -0.56 16 2 C -0.10 -0.74 3.16 -90.62 -0.29 -1.02 16 3 C -0.14 -1.09 9.09 37.16 0.34 -0.75 16 4 C 0.07 0.63 5.32 37.16 0.20 0.82 16 5 O -0.39 -4.41 9.88 -35.23 -0.35 -4.76 16 6 C 0.08 0.95 5.23 37.16 0.19 1.15 16 7 C -0.14 -1.59 4.42 -27.88 -0.12 -1.72 16 8 C 0.51 8.31 7.70 -10.99 -0.08 8.22 16 9 O -0.55 -11.13 15.40 5.55 0.09 -11.05 16 10 N -0.60 -9.79 2.96 -172.80 -0.51 -10.31 16 11 C 0.11 1.39 6.18 -3.69 -0.02 1.37 16 12 C -0.12 -1.59 5.82 -26.90 -0.16 -1.74 16 13 C 0.08 1.39 2.73 -26.89 -0.07 1.31 16 14 H 0.05 0.93 8.11 -51.93 -0.42 0.50 16 15 O -0.39 -7.08 9.60 -35.23 -0.34 -7.42 16 16 C 0.04 0.75 6.97 37.28 0.26 1.01 16 17 C 0.14 3.18 4.93 -3.56 -0.02 3.16 16 18 N -0.58 -14.19 2.71 -163.90 -0.44 -14.64 16 19 C -0.26 -6.87 9.71 -15.06 -0.15 -7.01 16 20 H 0.07 1.81 7.88 -52.48 -0.41 1.40 16 21 C 0.01 0.14 4.96 -17.43 -0.09 0.05 16 22 N -0.90 -25.59 11.14 55.49 0.62 -24.97 16 23 Si 0.91 21.47 29.58 -169.99 -5.03 16.44 16 24 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 25 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 26 H -0.28 -6.48 7.11 56.52 0.40 -6.07 16 27 C 0.13 2.78 3.00 -67.09 -0.20 2.58 16 28 H 0.07 1.57 8.03 -51.93 -0.42 1.15 16 29 C 0.11 2.14 5.62 -3.74 -0.02 2.12 16 30 H 0.06 0.34 8.14 -51.93 -0.42 -0.09 16 31 H 0.06 0.33 8.14 -51.93 -0.42 -0.10 16 32 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 33 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 34 H 0.06 0.55 7.82 -51.93 -0.41 0.14 16 35 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 36 H 0.05 0.39 8.14 -51.93 -0.42 -0.04 16 37 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 38 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 39 H 0.06 0.73 8.10 -51.93 -0.42 0.31 16 40 H 0.06 0.74 8.10 -51.93 -0.42 0.32 16 41 H 0.10 0.99 7.71 -51.93 -0.40 0.59 16 42 H 0.10 1.00 7.93 -51.93 -0.41 0.58 16 43 H 0.08 0.75 5.95 -51.93 -0.31 0.44 16 44 H 0.08 1.00 7.95 -51.93 -0.41 0.59 16 45 H 0.08 0.93 8.14 -51.93 -0.42 0.50 16 46 H 0.08 0.86 8.14 -51.93 -0.42 0.44 16 47 H 0.04 0.77 8.13 -51.93 -0.42 0.35 16 48 H 0.08 1.33 8.14 -51.93 -0.42 0.91 16 49 H 0.10 2.44 6.14 -51.93 -0.32 2.12 16 50 H 0.03 0.71 7.18 -51.93 -0.37 0.34 16 51 H 0.26 7.05 8.31 -40.82 -0.34 6.71 16 52 H 0.09 2.12 7.00 -51.93 -0.36 1.75 16 53 H 0.07 1.49 6.57 -51.93 -0.34 1.14 16 LS Contribution 407.08 15.07 6.13 6.13 Total: -1.00 -31.09 407.08 -9.36 -40.44 By element: Atomic # 1 Polarization: 10.77 SS G_CDS: -9.64 Total: 1.13 kcal Atomic # 6 Polarization: 8.88 SS G_CDS: 0.11 Total: 8.99 kcal Atomic # 7 Polarization: -49.57 SS G_CDS: -0.34 Total: -49.91 kcal Atomic # 8 Polarization: -22.63 SS G_CDS: -0.60 Total: -23.23 kcal Atomic # 14 Polarization: 21.47 SS G_CDS: -5.03 Total: 16.44 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -31.09 -9.36 -40.44 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. ZINC001176930158.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 -70.506 kcal (2) G-P(sol) polarization free energy of solvation -31.085 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.592 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.358 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.443 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.950 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.23 seconds