Wall clock time and date at job start Sat Apr 11 2020 06:12:02 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 1.53000 * 109.47293 * 2 1 4 4 N 1.46896 * 109.47403 * 180.02562 * 3 2 1 5 5 C 1.47846 * 111.00121 * 56.83221 * 4 3 2 6 6 C 1.54902 * 104.79561 * 146.36604 * 5 4 3 7 7 C 1.55138 * 101.65578 * 322.93136 * 6 5 4 8 8 C 1.47438 * 111.00107 * 177.67925 * 4 3 2 9 9 H 1.08996 * 109.89539 * 117.17163 * 8 4 3 10 10 C 1.50702 * 109.88864 * 356.14423 * 8 4 3 11 11 O 1.21286 * 119.99963 * 300.62845 * 10 8 4 12 12 N 1.34776 * 119.99869 * 120.63817 * 10 8 4 13 13 C 1.46504 * 119.99883 * 180.02562 * 12 10 8 14 14 C 1.52993 * 109.47085 * 179.97438 * 13 12 10 15 15 C 1.53004 * 109.47045 * 179.97438 * 14 13 12 16 16 N 1.46900 * 109.46976 * 180.02562 * 15 14 13 17 17 C 1.46898 * 111.00047 * 179.97438 * 16 15 14 18 18 C 1.50697 * 109.47363 * 179.97438 * 17 16 15 19 19 O 1.21294 * 120.00183 * 0.02562 * 18 17 16 20 20 N 1.34777 * 120.00264 * 180.02562 * 18 17 16 21 21 C 1.37098 * 120.00473 * 180.02562 * 20 18 17 22 22 H 1.08004 * 119.99577 * 359.97438 * 21 20 18 23 23 C 1.38942 * 120.00484 * 180.02562 * 21 20 18 24 24 N 1.31420 * 120.00086 * 359.97438 * 23 21 20 25 25 Si 1.86803 * 120.00359 * 179.97438 * 23 21 20 26 26 H 1.48501 * 109.46850 * 89.99810 * 25 23 21 27 27 H 1.48501 * 109.47172 * 209.99888 * 25 23 21 28 28 H 1.48494 * 109.47025 * 330.00020 * 25 23 21 29 29 H 1.09005 * 109.47042 * 59.99829 * 1 2 3 30 30 H 1.09001 * 109.47121 * 179.97438 * 1 2 3 31 31 H 1.08995 * 109.47077 * 300.00335 * 1 2 3 32 32 H 1.09001 * 109.46896 * 240.00102 * 2 1 3 33 33 H 1.08995 * 109.47139 * 120.00242 * 2 1 3 34 34 H 1.08995 * 109.46907 * 59.99495 * 3 2 1 35 35 H 1.09005 * 109.47216 * 300.00064 * 3 2 1 36 36 H 1.09004 * 110.37188 * 265.19673 * 5 4 3 37 37 H 1.09000 * 110.37308 * 27.53344 * 5 4 3 38 38 H 1.08998 * 110.99176 * 81.02041 * 6 5 4 39 39 H 1.09000 * 110.99377 * 204.83376 * 6 5 4 40 40 H 1.09002 * 110.70492 * 277.27648 * 7 6 5 41 41 H 1.08999 * 110.70888 * 154.03981 * 7 6 5 42 42 H 0.96999 * 120.00137 * 359.97438 * 12 10 8 43 43 H 1.09002 * 109.46946 * 59.99102 * 13 12 10 44 44 H 1.09002 * 109.46882 * 299.99547 * 13 12 10 45 45 H 1.09002 * 109.47050 * 59.99719 * 14 13 12 46 46 H 1.09002 * 109.47353 * 299.99825 * 14 13 12 47 47 H 1.08992 * 109.47166 * 60.00147 * 15 14 13 48 48 H 1.08995 * 109.46870 * 299.99646 * 15 14 13 49 49 H 1.00897 * 111.00311 * 303.95419 * 16 15 14 50 50 H 1.08998 * 109.47206 * 299.99982 * 17 16 15 51 51 H 1.09010 * 109.47070 * 60.00291 * 17 16 15 52 52 H 0.97006 * 119.99717 * 359.97438 * 20 18 17 53 53 H 0.96997 * 120.00146 * 179.97438 * 24 23 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 7 3.5090 1.4425 -0.0006 5 6 4.0384 0.6876 -1.1563 6 6 5.3441 1.4245 -1.5456 7 6 4.9554 2.9051 -1.2938 8 6 4.0373 2.8178 -0.0564 9 1 4.6076 3.0330 0.8472 10 6 2.9010 3.7985 -0.1909 11 8 2.1502 3.7301 -1.1409 12 7 2.7192 4.7517 0.7445 13 6 1.6142 5.7047 0.6141 14 6 1.6326 6.6722 1.7991 15 6 0.4789 7.6679 1.6625 16 7 0.4970 8.5973 2.8000 17 6 -0.5989 9.5705 2.7021 18 6 -0.5485 10.5045 3.8837 19 8 0.3157 10.3726 4.7245 20 7 -1.4636 11.4863 4.0063 21 6 -1.4175 12.3362 5.0810 22 1 -0.6480 12.2188 5.8296 23 6 -2.3612 13.3481 5.2076 24 7 -3.2979 13.4907 4.2969 25 14 -2.2988 14.5058 6.6723 26 1 -1.4503 15.6785 6.3405 27 1 -3.6726 14.9653 6.9990 28 1 -1.7237 13.7938 7.8417 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3633 0.5139 0.8899 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5138 0.8899 34 1 1.6766 1.9563 0.8899 35 1 1.6767 1.9564 -0.8900 36 1 4.2544 -0.3419 -0.8703 37 1 3.3281 0.7116 -1.9828 38 1 6.1698 1.1226 -0.9013 39 1 5.5885 1.2579 -2.5947 40 1 4.4135 3.3119 -2.1476 41 1 5.8396 3.5041 -1.0762 42 1 3.3195 4.8062 1.5045 43 1 0.6677 5.1641 0.6014 44 1 1.7251 6.2647 -0.3145 45 1 2.5790 7.2128 1.8121 46 1 1.5214 6.1119 2.7274 47 1 -0.4676 7.1277 1.6492 48 1 0.5906 8.2282 0.7343 49 1 0.4601 8.0976 3.6758 50 1 -0.4946 10.1437 1.7808 51 1 -1.5533 9.0438 2.6963 52 1 -2.1546 11.5920 3.3336 53 1 -3.9570 14.1969 4.3855 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 ZINC001159327383.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 06:12:02 Heat of formation + Delta-G solvation = -76.340778 kcal Electronic energy + Delta-G solvation = -28928.316555 eV Core-core repulsion = 24834.336663 eV Total energy + Delta-G solvation = -4093.979892 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.66 seconds Orbital eigenvalues (eV) -41.13298 -38.46579 -38.23654 -36.51937 -34.99398 -34.81648 -33.85583 -31.73812 -31.21971 -31.12429 -29.76711 -27.13040 -25.83746 -24.95682 -23.52928 -22.62849 -22.15688 -21.77272 -20.94512 -20.08858 -19.21648 -17.90285 -17.59811 -16.86673 -16.46218 -16.01341 -15.93807 -15.63439 -15.45429 -15.36826 -14.73108 -14.48966 -14.37029 -14.05965 -13.90616 -13.68851 -13.51081 -13.41363 -13.15508 -12.78052 -12.66554 -12.39075 -12.14668 -11.97817 -11.84650 -11.81532 -11.68352 -11.60326 -11.48479 -11.44969 -11.26382 -11.16421 -11.08513 -11.00119 -10.92350 -10.40058 -10.36086 -10.22481 -9.51813 -9.43093 -8.61774 -8.48707 -8.09326 -7.96904 -6.42426 -3.83440 2.15011 2.78243 3.17498 3.26126 3.31932 3.52631 3.89703 4.01955 4.07453 4.19625 4.28519 4.35158 4.63225 4.64505 4.75829 4.77706 4.85370 4.93270 4.98676 5.01363 5.03855 5.15606 5.23881 5.24844 5.29671 5.33623 5.38983 5.41913 5.43490 5.45872 5.51795 5.54682 5.59201 5.70995 5.74821 5.77473 5.87027 5.91985 5.95628 5.96445 6.00684 6.12632 6.25572 6.42689 6.56488 7.11663 7.17069 7.54462 7.62246 7.83075 8.05419 8.60314 9.16976 9.53354 10.04690 10.75265 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.024682 B = 0.001410 C = 0.001371 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1134.144994 B =19859.570580 C =20422.110260 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.120 4.120 3 C 0.019 3.981 4 N -0.505 5.505 5 C 0.039 3.961 6 C -0.127 4.127 7 C -0.129 4.129 8 C 0.054 3.946 9 H 0.102 0.898 10 C 0.501 3.499 11 O -0.537 6.537 12 N -0.723 5.723 13 C 0.119 3.881 14 C -0.129 4.129 15 C 0.063 3.937 16 N -0.670 5.670 17 C 0.051 3.949 18 C 0.440 3.560 19 O -0.584 6.584 20 N -0.563 5.563 21 C -0.300 4.300 22 H 0.103 0.897 23 C 0.022 3.978 24 N -0.902 5.902 25 Si 0.931 3.069 26 H -0.278 1.278 27 H -0.284 1.284 28 H -0.270 1.270 29 H 0.054 0.946 30 H 0.056 0.944 31 H 0.054 0.946 32 H 0.060 0.940 33 H 0.066 0.934 34 H 0.069 0.931 35 H 0.079 0.921 36 H 0.084 0.916 37 H 0.052 0.948 38 H 0.078 0.922 39 H 0.077 0.923 40 H 0.079 0.921 41 H 0.082 0.918 42 H 0.403 0.597 43 H 0.067 0.933 44 H 0.070 0.930 45 H 0.081 0.919 46 H 0.069 0.931 47 H 0.029 0.971 48 H 0.074 0.926 49 H 0.349 0.651 50 H 0.086 0.914 51 H 0.044 0.956 52 H 0.392 0.608 53 H 0.272 0.728 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.787 -26.543 -13.080 32.236 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 -0.209 4.209 2 C -0.158 4.158 3 C -0.108 4.108 4 N -0.230 5.230 5 C -0.089 4.089 6 C -0.165 4.165 7 C -0.168 4.168 8 C -0.058 4.058 9 H 0.120 0.880 10 C 0.287 3.713 11 O -0.415 6.415 12 N -0.375 5.375 13 C -0.005 4.005 14 C -0.167 4.167 15 C -0.067 4.067 16 N -0.302 5.302 17 C -0.082 4.082 18 C 0.226 3.774 19 O -0.468 6.468 20 N -0.200 5.200 21 C -0.430 4.430 22 H 0.121 0.879 23 C -0.179 4.179 24 N -0.543 5.543 25 Si 0.758 3.242 26 H -0.204 1.204 27 H -0.209 1.209 28 H -0.194 1.194 29 H 0.073 0.927 30 H 0.075 0.925 31 H 0.073 0.927 32 H 0.079 0.921 33 H 0.085 0.915 34 H 0.088 0.912 35 H 0.097 0.903 36 H 0.102 0.898 37 H 0.070 0.930 38 H 0.097 0.903 39 H 0.096 0.904 40 H 0.098 0.902 41 H 0.100 0.900 42 H 0.238 0.762 43 H 0.085 0.915 44 H 0.088 0.912 45 H 0.099 0.901 46 H 0.088 0.912 47 H 0.047 0.953 48 H 0.092 0.908 49 H 0.168 0.832 50 H 0.105 0.895 51 H 0.062 0.938 52 H 0.226 0.774 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 13.255 -26.331 -13.013 32.223 hybrid contribution -1.352 0.672 0.223 1.526 sum 11.903 -25.659 -12.790 31.042 Atomic orbital electron populations 1.21719 0.95427 1.01664 1.02055 1.21531 0.95811 0.96156 1.02253 1.22981 0.86792 0.97982 1.03045 1.64138 1.08888 1.08609 1.41324 1.23127 0.95527 0.98420 0.91792 1.22703 0.97780 0.94057 1.01978 1.22759 0.99068 0.98079 0.96845 1.22617 0.94089 0.88198 1.00863 0.88023 1.21052 0.86513 0.81492 0.82246 1.90639 1.47094 1.71825 1.31903 1.46141 1.32567 1.32088 1.26668 1.21349 0.89605 0.90360 0.99163 1.21743 1.00879 0.96601 0.97497 1.21823 0.96080 0.93249 0.95599 1.60045 1.46903 1.18158 1.05090 1.21671 0.92372 0.94797 0.99366 1.19806 0.84745 0.84465 0.88417 1.90519 1.38007 1.74137 1.44168 1.41866 1.27133 1.27232 1.23764 1.19712 1.13310 1.08181 1.01787 0.87903 1.25267 0.95554 0.98348 0.98761 1.69616 1.16219 1.33714 1.34740 0.85847 0.77341 0.80010 0.81019 1.20377 1.20935 1.19431 0.92694 0.92538 0.92657 0.92081 0.91522 0.91215 0.90315 0.89775 0.92964 0.90316 0.90392 0.90237 0.89981 0.76206 0.91496 0.91196 0.90069 0.91214 0.95278 0.90802 0.83172 0.89544 0.93824 0.77440 0.91863 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 -0.15 -1.09 9.91 37.16 0.37 -0.72 16 2 C -0.12 -0.91 5.77 -26.73 -0.15 -1.06 16 3 C 0.02 0.18 3.70 -3.83 -0.01 0.16 16 4 N -0.50 -4.11 5.26 -224.73 -1.18 -5.29 16 5 C 0.04 0.27 5.36 -2.30 -0.01 0.25 16 6 C -0.13 -0.70 7.08 -24.60 -0.17 -0.87 16 7 C -0.13 -0.85 6.44 -24.91 -0.16 -1.01 16 8 C 0.05 0.40 3.84 -67.87 -0.26 0.14 16 9 H 0.10 0.60 7.94 -51.93 -0.41 0.19 16 10 C 0.50 4.79 5.08 -10.98 -0.06 4.73 16 11 O -0.54 -6.93 13.82 5.55 0.08 -6.85 16 12 N -0.72 -5.78 5.56 -60.29 -0.33 -6.11 16 13 C 0.12 1.07 5.67 -4.04 -0.02 1.04 16 14 C -0.13 -1.18 5.59 -26.73 -0.15 -1.33 16 15 C 0.06 0.72 5.69 -3.82 -0.02 0.70 16 16 N -0.67 -10.54 6.13 -115.06 -0.70 -11.24 16 17 C 0.05 0.89 6.17 -4.98 -0.03 0.86 16 18 C 0.44 10.42 7.82 -10.99 -0.09 10.33 16 19 O -0.58 -15.88 15.78 5.54 0.09 -15.79 16 20 N -0.56 -14.33 5.29 -10.97 -0.06 -14.39 16 21 C -0.30 -8.41 9.68 -14.94 -0.14 -8.55 16 22 H 0.10 3.01 7.16 -52.48 -0.38 2.64 16 23 C 0.02 0.60 5.50 -17.47 -0.10 0.50 16 24 N -0.90 -24.55 13.05 55.50 0.72 -23.82 16 25 Si 0.93 21.04 29.55 -169.99 -5.02 16.02 16 26 H -0.28 -6.21 7.11 56.52 0.40 -5.81 16 27 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 28 H -0.27 -6.08 7.11 56.52 0.40 -5.68 16 29 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 30 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 31 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 32 H 0.06 0.43 6.90 -51.93 -0.36 0.08 16 33 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 34 H 0.07 0.69 7.64 -51.93 -0.40 0.29 16 35 H 0.08 0.90 5.34 -51.93 -0.28 0.62 16 36 H 0.08 0.50 8.14 -51.93 -0.42 0.07 16 37 H 0.05 0.40 7.48 -51.93 -0.39 0.01 16 38 H 0.08 0.37 8.14 -51.93 -0.42 -0.05 16 39 H 0.08 0.36 8.14 -51.93 -0.42 -0.07 16 40 H 0.08 0.66 7.52 -51.93 -0.39 0.27 16 41 H 0.08 0.41 8.14 -51.93 -0.42 -0.01 16 42 H 0.40 2.33 8.32 -40.82 -0.34 1.99 16 43 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 44 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 45 H 0.08 0.78 8.14 -51.93 -0.42 0.36 16 46 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.03 0.32 8.14 -51.93 -0.42 -0.10 16 48 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 49 H 0.35 5.62 8.43 -39.29 -0.33 5.29 16 50 H 0.09 1.41 8.14 -51.93 -0.42 0.99 16 51 H 0.04 0.69 8.14 -51.92 -0.42 0.27 16 52 H 0.39 9.52 7.90 -40.82 -0.32 9.20 16 53 H 0.27 6.99 8.31 -40.82 -0.34 6.65 16 LS Contribution 422.23 15.07 6.36 6.36 Total: -1.00 -32.97 422.23 -10.56 -43.53 By element: Atomic # 1 Polarization: 21.90 SS G_CDS: -9.49 Total: 12.41 kcal Atomic # 6 Polarization: 6.19 SS G_CDS: -1.01 Total: 5.18 kcal Atomic # 7 Polarization: -59.30 SS G_CDS: -1.55 Total: -60.86 kcal Atomic # 8 Polarization: -22.81 SS G_CDS: 0.16 Total: -22.64 kcal Atomic # 14 Polarization: 21.04 SS G_CDS: -5.02 Total: 16.02 kcal Total LS contribution 6.36 Total: 6.36 kcal Total: -32.97 -10.56 -43.53 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. ZINC001159327383.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 -32.811 kcal (2) G-P(sol) polarization free energy of solvation -32.972 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -65.784 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.557 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.530 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.341 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.66 seconds