Wall clock time and date at job start Sat Apr 11 2020 06:11:51 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 1.53007 * 1 3 3 O 1.42902 * 109.46786 * 2 1 4 4 C 1.42906 * 113.99825 * 176.71788 * 3 2 1 5 5 H 1.09000 * 109.46652 * 3.81286 * 4 3 2 6 6 C 1.50702 * 109.47068 * 123.81042 * 4 3 2 7 7 O 1.21280 * 120.00200 * 4.99427 * 6 4 3 8 8 N 1.34772 * 120.00028 * 185.00539 * 6 4 3 9 9 C 1.46501 * 120.00133 * 180.02562 * 8 6 4 10 10 C 1.53784 * 113.61269 * 254.13198 * 9 8 6 11 11 C 1.53949 * 87.01999 * 220.04884 * 10 9 8 12 12 C 1.53003 * 113.66807 * 139.93354 * 11 10 9 13 13 N 1.46501 * 109.47195 * 87.43961 * 12 11 10 14 14 C 1.36931 * 120.00129 * 180.02562 * 13 12 11 15 15 H 1.08001 * 119.99934 * 359.97438 * 14 13 12 16 16 C 1.38812 * 120.00305 * 179.97438 * 14 13 12 17 17 N 1.31621 * 120.00031 * 0.02562 * 16 14 13 18 18 Si 1.86797 * 120.00311 * 179.97438 * 16 14 13 19 19 H 1.48503 * 109.46886 * 60.00171 * 18 16 14 20 20 H 1.48502 * 109.47353 * 179.97438 * 18 16 14 21 21 H 1.48496 * 109.47240 * 300.00364 * 18 16 14 22 22 C 1.53778 * 113.61639 * 156.52602 * 9 8 6 23 23 C 1.52996 * 109.47274 * 243.80787 * 4 3 2 24 24 C 1.53180 * 109.54396 * 65.32526 * 23 4 3 25 25 C 1.53086 * 109.16606 * 183.15186 * 24 23 4 26 26 O 1.42906 * 109.41429 * 57.61046 * 25 24 23 27 27 C 1.42902 * 114.09699 * 298.84272 * 26 25 24 28 28 C 1.53092 * 109.41682 * 61.15578 * 27 26 25 29 29 H 1.09004 * 109.46724 * 299.99847 * 1 2 3 30 30 H 1.08997 * 109.46871 * 59.99542 * 1 2 3 31 31 H 1.08998 * 109.46995 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.46972 * 240.00833 * 2 1 3 33 33 H 1.08995 * 109.47348 * 120.00261 * 2 1 3 34 34 H 0.97003 * 120.00083 * 359.97438 * 8 6 4 35 35 H 1.08997 * 112.84868 * 25.32269 * 9 8 6 36 36 H 1.09004 * 113.61032 * 334.56847 * 10 9 8 37 37 H 1.08999 * 113.61496 * 105.46368 * 10 9 8 38 38 H 1.09011 * 113.61178 * 270.79943 * 11 10 9 39 39 H 1.09002 * 109.47134 * 207.43701 * 12 11 10 40 40 H 1.08992 * 109.47238 * 327.44059 * 12 11 10 41 41 H 0.97004 * 119.99917 * 0.02562 * 13 12 11 42 42 H 0.96997 * 120.00500 * 180.02562 * 17 16 14 43 43 H 1.08997 * 113.61213 * 254.52690 * 22 9 8 44 44 H 1.09002 * 113.61559 * 25.34713 * 22 9 8 45 45 H 1.08996 * 109.61603 * 185.54655 * 23 4 3 46 46 H 1.08998 * 109.51859 * 63.24296 * 24 23 4 47 47 H 1.09004 * 109.57247 * 303.09119 * 24 23 4 48 48 H 1.08997 * 109.48556 * 177.58878 * 25 24 23 49 49 H 1.08995 * 109.48264 * 297.62933 * 25 24 23 50 50 H 1.09005 * 109.48343 * 301.17822 * 27 26 25 51 51 H 1.08999 * 109.48027 * 181.14104 * 27 26 25 52 52 H 1.09004 * 109.52517 * 182.48405 * 28 27 26 53 53 H 1.09006 * 109.51882 * 62.29812 * 28 27 26 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 8 2.0063 1.3473 0.0000 4 6 3.4289 1.4609 0.0747 5 1 3.8745 0.4665 0.0494 6 6 3.9307 2.2663 -1.0960 7 8 3.1424 2.7765 -1.8635 8 7 5.2556 2.4194 -1.2903 9 6 5.7434 3.2027 -2.4281 10 6 6.3292 2.3440 -3.5613 11 6 7.4241 3.4172 -3.7001 12 6 8.8192 2.8423 -3.9532 13 7 9.0165 2.6551 -5.3928 14 6 10.1989 2.1481 -5.8617 15 1 10.9862 1.8865 -5.1702 16 6 10.3856 1.9702 -7.2256 17 7 9.4262 2.2894 -8.0683 18 14 11.9988 1.2792 -7.8653 19 1 12.2191 -0.0736 -7.2937 20 1 11.9454 1.1874 -9.3465 21 1 13.1142 2.1737 -7.4641 22 6 7.1598 3.7663 -2.2259 23 6 3.8169 2.1607 1.3788 24 6 3.4255 1.2797 2.5692 25 6 3.7452 2.0211 3.8698 26 8 3.0498 3.2694 3.8882 27 6 3.4102 4.1538 2.8251 28 6 3.0771 3.4980 1.4825 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 1.8934 -0.5137 -0.8900 33 1 1.8934 -0.5138 0.8899 34 1 5.8861 2.0114 -0.6763 35 1 5.0228 3.9452 -2.7708 36 1 6.7054 1.3772 -3.2267 37 1 5.6784 2.2675 -4.4323 38 1 7.1647 4.2188 -4.3919 39 1 9.5714 3.5319 -3.5701 40 1 8.9142 1.8824 -3.4457 41 1 8.3094 2.8904 -6.0138 42 1 9.5565 2.1648 -9.0214 43 1 7.1787 4.8366 -2.0205 44 1 7.7631 3.1900 -1.5245 45 1 4.8924 2.3369 1.3936 46 1 3.9893 0.3475 2.5333 47 1 2.3583 1.0618 2.5270 48 1 3.4293 1.4166 4.7200 49 1 4.8183 2.2020 3.9308 50 1 4.4790 4.3625 2.8724 51 1 2.8530 5.0855 2.9227 52 1 3.3916 4.1523 0.6694 53 1 2.0026 3.3259 1.4178 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 ZINC001674566259.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 06:11:51 Heat of formation + Delta-G solvation = -111.253413 kcal Electronic energy + Delta-G solvation = -30468.065786 eV Core-core repulsion = 26340.279218 eV Total energy + Delta-G solvation = -4127.786569 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.71 seconds Orbital eigenvalues (eV) -40.80331 -39.57379 -38.60778 -37.55883 -34.74713 -34.45630 -33.18767 -31.60908 -31.37045 -30.87104 -28.45147 -26.61426 -25.53579 -24.38931 -24.01273 -23.21291 -22.97538 -21.47543 -20.75743 -20.29742 -19.41797 -17.51222 -17.29753 -17.00989 -16.74336 -16.28490 -16.02116 -15.77287 -15.19018 -15.08830 -14.93209 -14.63629 -14.52066 -14.33958 -14.14538 -13.47962 -13.31357 -13.14077 -12.99438 -12.79828 -12.68047 -12.41387 -12.31197 -12.19928 -11.87674 -11.70655 -11.63352 -11.61320 -11.41895 -11.16676 -11.11353 -10.84650 -10.71376 -10.68614 -10.38606 -10.34563 -10.13686 -9.99903 -9.90106 -9.65263 -9.35780 -9.02281 -8.84376 -6.90376 -5.75181 -3.03845 2.45202 2.74535 3.43888 3.47963 3.49463 3.51429 3.51949 4.13371 4.19021 4.37170 4.54782 4.55962 4.58202 4.66935 4.69209 4.75858 4.81160 4.87067 4.89553 5.01307 5.02494 5.04805 5.09177 5.10743 5.20292 5.25027 5.30479 5.36722 5.48462 5.58042 5.59687 5.63820 5.70423 5.75459 5.80851 5.82989 5.89348 6.02649 6.03652 6.08335 6.23072 6.27690 6.41462 6.58676 6.74538 6.78076 6.82620 6.91514 7.40078 7.69340 8.12011 8.43809 9.54568 10.13846 10.48250 11.47633 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016801 B = 0.002014 C = 0.001907 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1666.133733 B =13901.558863 C =14682.656138 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.053 3.947 3 O -0.349 6.349 4 C 0.079 3.921 5 H 0.088 0.912 6 C 0.503 3.497 7 O -0.519 6.519 8 N -0.717 5.717 9 C 0.119 3.881 10 C -0.139 4.139 11 C -0.110 4.110 12 C 0.166 3.834 13 N -0.732 5.732 14 C -0.240 4.240 15 H 0.069 0.931 16 C -0.015 4.015 17 N -0.933 5.933 18 Si 0.907 3.093 19 H -0.286 1.286 20 H -0.291 1.291 21 H -0.286 1.286 22 C -0.136 4.136 23 C -0.093 4.093 24 C -0.151 4.151 25 C 0.062 3.938 26 O -0.383 6.383 27 C 0.061 3.939 28 C -0.146 4.146 29 H 0.063 0.937 30 H 0.066 0.934 31 H 0.071 0.929 32 H 0.050 0.950 33 H 0.049 0.951 34 H 0.398 0.602 35 H 0.112 0.888 36 H 0.083 0.917 37 H 0.070 0.930 38 H 0.093 0.907 39 H 0.019 0.981 40 H 0.018 0.982 41 H 0.384 0.616 42 H 0.256 0.744 43 H 0.071 0.929 44 H 0.084 0.916 45 H 0.084 0.916 46 H 0.073 0.927 47 H 0.080 0.920 48 H 0.094 0.906 49 H 0.050 0.950 50 H 0.049 0.951 51 H 0.094 0.906 52 H 0.073 0.927 53 H 0.085 0.915 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.306 -2.305 26.254 30.477 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 -0.207 4.207 2 C -0.024 4.024 3 O -0.266 6.266 4 C 0.017 3.983 5 H 0.106 0.894 6 C 0.288 3.712 7 O -0.393 6.393 8 N -0.369 5.369 9 C 0.015 3.985 10 C -0.177 4.177 11 C -0.130 4.130 12 C 0.038 3.962 13 N -0.376 5.376 14 C -0.372 4.372 15 H 0.087 0.913 16 C -0.211 4.211 17 N -0.582 5.582 18 Si 0.738 3.262 19 H -0.213 1.213 20 H -0.217 1.217 21 H -0.213 1.213 22 C -0.175 4.175 23 C -0.112 4.112 24 C -0.189 4.189 25 C -0.015 4.015 26 O -0.302 6.302 27 C -0.015 4.015 28 C -0.184 4.184 29 H 0.082 0.918 30 H 0.085 0.915 31 H 0.089 0.911 32 H 0.068 0.932 33 H 0.068 0.932 34 H 0.232 0.768 35 H 0.130 0.870 36 H 0.101 0.899 37 H 0.089 0.911 38 H 0.112 0.888 39 H 0.036 0.964 40 H 0.036 0.964 41 H 0.218 0.782 42 H 0.065 0.935 43 H 0.090 0.910 44 H 0.103 0.897 45 H 0.103 0.897 46 H 0.092 0.908 47 H 0.098 0.902 48 H 0.112 0.888 49 H 0.069 0.931 50 H 0.068 0.932 51 H 0.113 0.887 52 H 0.092 0.908 53 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges -16.019 -1.792 25.804 30.425 hybrid contribution 1.449 -0.938 -0.704 1.864 sum -14.571 -2.730 25.099 29.150 Atomic orbital electron populations 1.21720 0.93354 1.02259 1.03402 1.22673 0.96120 0.83568 1.00013 1.88042 1.17967 1.26271 1.94358 1.21971 0.84184 0.99191 0.92965 0.89398 1.20770 0.82719 0.81443 0.86278 1.90727 1.55150 1.47347 1.46091 1.46062 1.06484 1.54284 1.30101 1.22673 0.94904 0.94606 0.86305 1.23478 0.97754 0.98356 0.98151 1.22565 0.96555 0.98538 0.95315 1.20590 0.91878 0.96293 0.87410 1.42351 1.17205 1.77466 1.00584 1.19183 0.92731 1.34401 0.90857 0.91324 1.24751 0.98000 1.02328 0.96001 1.69651 1.32450 1.54140 1.01945 0.86263 0.83316 0.78842 0.77733 1.21325 1.21681 1.21278 1.23324 0.94865 1.01230 0.98090 1.21523 1.00383 0.96306 0.93020 1.22264 1.03378 0.98618 0.94656 1.22541 0.96206 0.85309 0.97394 1.87943 1.65799 1.27134 1.49279 1.22609 0.99744 0.92953 0.86222 1.22136 1.02703 0.95619 0.97900 0.91814 0.91535 0.91055 0.93214 0.93232 0.76801 0.87022 0.89853 0.91128 0.88839 0.96368 0.96442 0.78235 0.93461 0.90979 0.89722 0.89742 0.90829 0.90166 0.88816 0.93129 0.93225 0.88736 0.90815 0.89605 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.08 10.28 37.16 0.38 -0.70 16 2 C 0.05 0.42 6.21 37.16 0.23 0.65 16 3 O -0.35 -3.72 8.08 -55.09 -0.44 -4.16 16 4 C 0.08 0.71 2.34 -27.88 -0.07 0.64 16 5 H 0.09 0.60 7.61 -51.93 -0.39 0.21 16 6 C 0.50 6.06 6.26 -10.99 -0.07 5.99 16 7 O -0.52 -8.69 16.13 -14.30 -0.23 -8.92 16 8 N -0.72 -7.31 5.26 -53.02 -0.28 -7.59 16 9 C 0.12 1.47 4.21 -67.12 -0.28 1.19 16 10 C -0.14 -2.04 7.45 -25.83 -0.19 -2.23 16 11 C -0.11 -1.72 3.75 -89.72 -0.34 -2.06 16 12 C 0.17 3.27 6.10 -4.04 -0.02 3.24 16 13 N -0.73 -18.67 5.60 -59.91 -0.34 -19.00 16 14 C -0.24 -6.79 9.99 -15.06 -0.15 -6.94 16 15 H 0.07 1.87 7.83 -52.49 -0.41 1.46 16 16 C -0.01 -0.43 5.50 -17.43 -0.10 -0.53 16 17 N -0.93 -28.55 13.06 55.49 0.72 -27.82 16 18 Si 0.91 22.51 29.55 -169.99 -5.02 17.49 16 19 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 20 H -0.29 -7.27 7.11 56.52 0.40 -6.86 16 21 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 22 C -0.14 -1.58 7.39 -25.92 -0.19 -1.77 16 23 C -0.09 -0.67 2.09 -90.44 -0.19 -0.86 16 24 C -0.15 -0.91 5.33 -26.59 -0.14 -1.05 16 25 C 0.06 0.39 6.84 37.20 0.25 0.65 16 26 O -0.38 -3.43 10.77 -35.23 -0.38 -3.81 16 27 C 0.06 0.47 6.84 37.21 0.25 0.73 16 28 C -0.15 -1.27 5.03 -26.59 -0.13 -1.40 16 29 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 30 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 31 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.05 0.41 8.14 -51.93 -0.42 -0.02 16 33 H 0.05 0.30 7.82 -51.93 -0.41 -0.11 16 34 H 0.40 2.90 8.42 -40.82 -0.34 2.56 16 35 H 0.11 1.55 7.50 -51.93 -0.39 1.16 16 36 H 0.08 1.22 7.90 -51.93 -0.41 0.81 16 37 H 0.07 1.14 8.14 -51.93 -0.42 0.72 16 38 H 0.09 1.54 8.14 -51.92 -0.42 1.12 16 39 H 0.02 0.37 8.14 -51.93 -0.42 -0.06 16 40 H 0.02 0.35 7.85 -51.93 -0.41 -0.06 16 41 H 0.38 10.35 7.67 -40.82 -0.31 10.04 16 42 H 0.26 7.57 8.31 -40.82 -0.34 7.23 16 43 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 44 H 0.08 0.87 8.07 -51.93 -0.42 0.45 16 45 H 0.08 0.49 7.77 -51.93 -0.40 0.09 16 46 H 0.07 0.31 8.14 -51.93 -0.42 -0.11 16 47 H 0.08 0.57 7.33 -51.93 -0.38 0.19 16 48 H 0.09 0.47 8.14 -51.93 -0.42 0.05 16 49 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 50 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 51 H 0.09 0.66 8.14 -51.93 -0.42 0.24 16 52 H 0.07 0.73 7.52 -51.93 -0.39 0.34 16 53 H 0.09 0.90 7.45 -51.93 -0.39 0.51 16 LS Contribution 420.28 15.07 6.33 6.33 Total: -1.00 -34.81 420.28 -10.07 -44.88 By element: Atomic # 1 Polarization: 16.74 SS G_CDS: -9.69 Total: 7.05 kcal Atomic # 6 Polarization: -3.70 SS G_CDS: -0.75 Total: -4.45 kcal Atomic # 7 Polarization: -54.53 SS G_CDS: 0.11 Total: -54.42 kcal Atomic # 8 Polarization: -15.84 SS G_CDS: -1.05 Total: -16.89 kcal Atomic # 14 Polarization: 22.51 SS G_CDS: -5.02 Total: 17.49 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -34.81 -10.07 -44.88 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. ZINC001674566259.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 -66.371 kcal (2) G-P(sol) polarization free energy of solvation -34.809 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.180 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.073 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.883 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.253 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds