Wall clock time and date at job start Sat Apr 11 2020 06:09:16 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 1.52996 * 1 3 3 C 1.52996 * 109.47420 * 2 1 4 4 H 1.09001 * 109.47124 * 304.02693 * 3 2 1 5 5 N 1.46497 * 109.47505 * 64.02499 * 3 2 1 6 6 C 1.34777 * 120.00273 * 274.73039 * 5 3 2 7 7 O 1.21507 * 119.99751 * 0.27067 * 6 5 3 8 8 O 1.34640 * 119.99988 * 180.27064 * 6 5 3 9 9 C 1.45199 * 116.99944 * 179.97438 * 8 6 5 10 10 C 1.53001 * 109.46894 * 60.00088 * 9 8 6 11 11 C 1.52999 * 109.47174 * 180.02562 * 9 8 6 12 12 C 1.53000 * 109.47082 * 300.00568 * 9 8 6 13 13 C 1.50701 * 109.47255 * 184.03153 * 3 2 1 14 14 O 1.21284 * 119.99512 * 250.91971 * 13 3 2 15 15 N 1.34774 * 120.00235 * 70.91647 * 13 3 2 16 16 C 1.46500 * 119.99873 * 3.35795 * 15 13 3 17 17 C 1.50695 * 109.47610 * 83.14392 * 16 15 13 18 18 H 1.08000 * 119.99814 * 0.02562 * 17 16 15 19 19 C 1.37876 * 120.00413 * 179.97438 * 17 16 15 20 20 N 1.31520 * 119.99689 * 0.02562 * 19 17 16 21 21 Si 1.86790 * 120.00358 * 180.02562 * 19 17 16 22 22 H 1.48506 * 109.47132 * 60.00070 * 21 19 17 23 23 H 1.48501 * 109.47523 * 179.97438 * 21 19 17 24 24 H 1.48501 * 109.46970 * 300.00062 * 21 19 17 25 25 C 1.46500 * 120.00015 * 183.35115 * 15 13 3 26 26 C 1.52995 * 109.46940 * 95.62874 * 25 15 13 27 27 C 1.52997 * 117.50078 * 243.74692 * 26 25 15 28 28 C 1.53004 * 117.49863 * 175.08595 * 26 25 15 29 29 H 1.08998 * 109.47464 * 300.00550 * 1 2 3 30 30 H 1.09004 * 109.46912 * 60.00372 * 1 2 3 31 31 H 1.09000 * 109.47339 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47464 * 239.99450 * 2 1 3 33 33 H 1.09009 * 109.46506 * 119.99366 * 2 1 3 34 34 H 0.97007 * 119.99939 * 95.00048 * 5 3 2 35 35 H 1.09007 * 109.46920 * 60.00189 * 10 9 8 36 36 H 1.08998 * 109.47025 * 179.97438 * 10 9 8 37 37 H 1.09001 * 109.47398 * 300.00010 * 10 9 8 38 38 H 1.09004 * 109.47203 * 60.00251 * 11 9 8 39 39 H 1.09006 * 109.47112 * 180.02562 * 11 9 8 40 40 H 1.08996 * 109.46837 * 300.00041 * 11 9 8 41 41 H 1.09001 * 109.47387 * 59.99881 * 12 9 8 42 42 H 1.09006 * 109.46922 * 179.97438 * 12 9 8 43 43 H 1.08999 * 109.47453 * 299.99398 * 12 9 8 44 44 H 1.09006 * 109.46790 * 203.15086 * 16 15 13 45 45 H 1.09004 * 109.46930 * 323.14758 * 16 15 13 46 46 H 0.96994 * 119.99998 * 180.02562 * 20 19 17 47 47 H 1.08999 * 109.46845 * 215.62918 * 25 15 13 48 48 H 1.08999 * 109.47120 * 335.63232 * 25 15 13 49 49 H 1.09001 * 115.54799 * 29.41843 * 26 25 15 50 50 H 1.09000 * 117.49926 * 359.97438 * 27 26 25 51 51 H 1.09001 * 117.49998 * 145.02439 * 27 26 25 52 52 H 1.09000 * 117.49620 * 214.98169 * 28 26 25 53 53 H 1.09001 * 117.49938 * 359.97438 * 28 26 25 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 1.4424 0.0000 4 1 1.6190 1.9767 -0.8517 5 7 1.6325 2.1046 1.2416 6 6 0.4157 2.6769 1.3322 7 8 -0.3452 2.6394 0.3857 8 8 0.0434 3.2902 2.4715 9 6 -1.2809 3.8851 2.4975 10 6 -2.3320 2.8008 2.2518 11 6 -1.5232 4.5309 3.8632 12 6 -1.3827 4.9510 1.4045 13 6 3.5437 1.4436 -0.0999 14 8 4.2148 1.7640 0.8582 15 7 4.1427 1.0884 -1.2538 16 6 3.3325 0.7724 -2.4327 17 6 2.9579 2.0483 -3.1417 18 1 3.2906 2.9996 -2.7532 19 6 2.1915 2.0013 -4.2868 20 7 1.7868 0.8429 -4.7601 21 14 1.7278 3.5828 -5.1660 22 1 2.9611 4.2941 -5.5887 23 1 0.9074 3.2624 -6.3616 24 1 0.9470 4.4494 -4.2470 25 6 5.6041 1.0186 -1.3292 26 6 6.0587 -0.4226 -1.0905 27 6 6.9129 -0.6980 0.1485 28 6 7.5504 -0.7273 -1.2429 29 1 -0.3634 0.5139 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3634 -1.0277 -0.0005 32 1 1.8933 -0.5139 -0.8899 33 1 1.8932 -0.5138 0.8901 34 1 2.2401 2.1345 1.9973 35 1 -2.2595 2.0414 3.0305 36 1 -3.3261 3.2473 2.2717 37 1 -2.1592 2.3411 1.2787 38 1 -0.7744 5.3035 4.0378 39 1 -2.5175 4.9772 3.8828 40 1 -1.4506 3.7719 4.6420 41 1 -1.2099 4.4912 0.4314 42 1 -2.3770 5.3973 1.4238 43 1 -0.6339 5.7235 1.5795 44 1 3.9055 0.1364 -3.1075 45 1 2.4274 0.2502 -2.1221 46 1 1.2480 0.8098 -5.5659 47 1 5.9330 1.3447 -2.3159 48 1 6.0386 1.6672 -0.5686 49 1 5.3534 -1.1950 -1.3974 50 1 7.1514 0.1477 0.7935 51 1 6.7699 -1.6516 0.6567 52 1 7.8264 -1.7002 -1.6495 53 1 8.2078 0.0990 -1.5135 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 ZINC000103437410.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 06:09:16 Heat of formation + Delta-G solvation = -97.916835 kcal Electronic energy + Delta-G solvation = -32218.345321 eV Core-core repulsion = 28091.137069 eV Total energy + Delta-G solvation = -4127.208251 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) -40.69891 -39.54959 -37.51979 -36.79265 -34.97424 -34.69116 -33.98217 -32.51804 -31.67310 -28.35557 -27.41967 -27.35192 -27.26899 -25.49384 -23.13281 -22.52951 -22.14745 -21.15260 -20.31032 -19.89278 -18.79274 -17.96640 -16.63924 -16.58141 -16.13447 -16.10914 -15.67641 -15.21617 -14.70611 -14.51450 -14.44766 -14.30695 -14.02837 -13.71599 -13.51242 -13.23075 -13.01848 -12.51652 -12.37776 -12.23376 -12.07902 -11.92002 -11.86816 -11.80913 -11.63038 -11.60051 -11.34075 -11.30831 -11.23010 -11.19390 -11.02385 -10.93063 -10.77036 -10.34061 -10.29942 -10.16785 -10.11056 -9.76266 -9.69751 -9.62613 -9.19752 -8.72075 -8.53505 -7.82895 -6.19218 -4.26522 2.35630 3.13469 3.23988 3.27152 3.31452 3.36036 3.74005 4.09815 4.34421 4.45022 4.74390 4.77777 4.92860 4.98416 5.07103 5.15116 5.20090 5.30124 5.40181 5.43066 5.52816 5.55600 5.64452 5.67528 5.72308 5.75504 5.80335 5.86129 5.89858 5.96293 6.05006 6.08688 6.11108 6.17419 6.27108 6.31061 6.33434 6.36100 6.37361 6.49783 6.52931 6.62395 6.72027 6.79401 6.89438 7.19998 7.43795 7.74852 7.80272 8.02275 8.18571 8.69307 8.75336 8.87326 9.41643 10.87456 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008841 B = 0.004288 C = 0.003265 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3166.151366 B = 6528.794999 C = 8574.997461 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C -0.131 4.131 3 C 0.147 3.853 4 H 0.136 0.864 5 N -0.692 5.692 6 C 0.651 3.349 7 O -0.557 6.557 8 O -0.368 6.368 9 C 0.137 3.863 10 C -0.184 4.184 11 C -0.140 4.140 12 C -0.185 4.185 13 C 0.519 3.481 14 O -0.571 6.571 15 N -0.585 5.585 16 C 0.225 3.775 17 C -0.543 4.543 18 H 0.059 0.941 19 C 0.071 3.929 20 N -0.887 5.887 21 Si 0.894 3.106 22 H -0.276 1.276 23 H -0.285 1.285 24 H -0.274 1.274 25 C 0.147 3.853 26 C -0.160 4.160 27 C -0.177 4.177 28 C -0.179 4.179 29 H 0.049 0.951 30 H 0.069 0.931 31 H 0.044 0.956 32 H 0.093 0.907 33 H 0.059 0.941 34 H 0.409 0.591 35 H 0.057 0.943 36 H 0.066 0.934 37 H 0.092 0.908 38 H 0.065 0.935 39 H 0.077 0.923 40 H 0.065 0.935 41 H 0.092 0.908 42 H 0.067 0.933 43 H 0.058 0.942 44 H 0.040 0.960 45 H 0.050 0.950 46 H 0.266 0.734 47 H 0.081 0.919 48 H 0.078 0.922 49 H 0.105 0.895 50 H 0.094 0.906 51 H 0.087 0.913 52 H 0.091 0.909 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.839 0.166 12.347 12.484 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 -0.195 4.195 2 C -0.170 4.170 3 C 0.040 3.960 4 H 0.153 0.847 5 N -0.352 5.352 6 C 0.404 3.596 7 O -0.446 6.446 8 O -0.283 6.283 9 C 0.100 3.900 10 C -0.241 4.241 11 C -0.197 4.197 12 C -0.242 4.242 13 C 0.306 3.694 14 O -0.452 6.452 15 N -0.314 5.314 16 C 0.106 3.894 17 C -0.582 4.582 18 H 0.078 0.922 19 C -0.133 4.133 20 N -0.525 5.525 21 Si 0.722 3.278 22 H -0.202 1.202 23 H -0.211 1.211 24 H -0.199 1.199 25 C 0.024 3.976 26 C -0.179 4.179 27 C -0.214 4.214 28 C -0.217 4.217 29 H 0.068 0.932 30 H 0.088 0.912 31 H 0.063 0.937 32 H 0.111 0.889 33 H 0.077 0.923 34 H 0.246 0.754 35 H 0.076 0.924 36 H 0.085 0.915 37 H 0.111 0.889 38 H 0.084 0.916 39 H 0.096 0.904 40 H 0.084 0.916 41 H 0.111 0.889 42 H 0.086 0.914 43 H 0.077 0.923 44 H 0.058 0.942 45 H 0.067 0.933 46 H 0.076 0.924 47 H 0.100 0.900 48 H 0.096 0.904 49 H 0.123 0.877 50 H 0.112 0.888 51 H 0.105 0.895 52 H 0.109 0.891 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -2.042 0.262 12.209 12.381 hybrid contribution -0.062 0.822 -0.406 0.919 sum -2.104 1.084 11.803 12.038 Atomic orbital electron populations 1.21751 0.94347 1.00379 1.03040 1.22005 0.97616 0.94379 1.02993 1.20899 0.92254 0.95289 0.87548 0.84693 1.44445 1.14726 1.58260 1.17760 1.17907 0.82913 0.77391 0.81435 1.90939 1.52238 1.63215 1.38180 1.86285 1.36542 1.68030 1.37472 1.21988 0.78636 0.92740 0.96621 1.22529 0.98050 0.98727 1.04779 1.21846 1.02290 1.00953 0.94584 1.22532 1.02187 0.98392 1.01113 1.20273 0.89561 0.76716 0.82854 1.90578 1.66083 1.50652 1.37912 1.48077 1.06289 1.65148 1.11871 1.19760 0.91011 0.97059 0.81609 1.21394 1.33722 0.92916 1.10129 0.92234 1.24877 0.95242 0.96408 0.96750 1.69894 1.35801 1.24084 1.22678 0.86602 0.78635 0.83492 0.79104 1.20197 1.21083 1.19915 1.20900 0.80903 0.93381 1.02419 1.22782 0.93487 0.99352 1.02324 1.22987 1.04705 1.02787 0.90915 1.22912 0.95711 1.02662 1.00400 0.93193 0.91168 0.93693 0.88903 0.92264 0.75446 0.92393 0.91457 0.88923 0.91584 0.90386 0.91641 0.88922 0.91450 0.92296 0.94151 0.93257 0.92405 0.90043 0.90386 0.87670 0.88774 0.89457 0.89097 0.88908 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 C -0.14 -2.31 8.50 37.16 0.32 -2.00 16 2 C -0.13 -2.26 5.28 -26.74 -0.14 -2.40 16 3 C 0.15 2.79 1.86 -69.09 -0.13 2.66 16 4 H 0.14 3.00 6.38 -51.93 -0.33 2.67 16 5 N -0.69 -12.04 4.95 -59.87 -0.30 -12.33 16 6 C 0.65 11.32 6.59 54.06 0.36 11.67 16 7 O -0.56 -10.64 9.03 -19.28 -0.17 -10.81 16 8 O -0.37 -5.65 9.94 -40.32 -0.40 -6.05 16 9 C 0.14 1.74 1.13 -90.62 -0.10 1.64 16 10 C -0.18 -2.23 8.37 37.16 0.31 -1.92 16 11 C -0.14 -1.32 8.85 37.16 0.33 -0.99 16 12 C -0.19 -2.41 8.37 37.16 0.31 -2.10 16 13 C 0.52 10.42 6.94 -10.99 -0.08 10.35 16 14 O -0.57 -12.00 15.31 5.55 0.09 -11.92 16 15 N -0.58 -11.71 2.48 -175.06 -0.43 -12.15 16 16 C 0.22 5.08 4.78 -5.20 -0.02 5.05 16 17 C -0.54 -13.84 8.49 -34.44 -0.29 -14.13 16 18 H 0.06 1.56 7.81 -52.49 -0.41 1.15 16 19 C 0.07 1.86 5.46 -17.82 -0.10 1.76 16 20 N -0.89 -23.94 13.29 55.43 0.74 -23.20 16 21 Si 0.89 20.80 29.54 -169.99 -5.02 15.78 16 22 H -0.28 -6.37 7.11 56.52 0.40 -5.96 16 23 H -0.29 -6.57 7.11 56.52 0.40 -6.17 16 24 H -0.27 -6.47 7.11 56.52 0.40 -6.06 16 25 C 0.15 2.61 5.74 -4.04 -0.02 2.58 16 26 C -0.16 -2.45 6.00 -90.62 -0.54 -3.00 16 27 C -0.18 -2.39 10.18 -26.69 -0.27 -2.67 16 28 C -0.18 -2.26 10.26 -26.69 -0.27 -2.54 16 29 H 0.05 0.83 5.69 -51.93 -0.30 0.54 16 30 H 0.07 1.33 7.79 -51.93 -0.40 0.93 16 31 H 0.04 0.66 8.14 -51.93 -0.42 0.24 16 32 H 0.09 1.68 5.50 -51.93 -0.29 1.39 16 33 H 0.06 0.94 8.14 -51.92 -0.42 0.52 16 34 H 0.41 6.77 7.83 -40.82 -0.32 6.45 16 35 H 0.06 0.66 8.14 -51.92 -0.42 0.24 16 36 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 37 H 0.09 1.37 5.88 -51.93 -0.31 1.06 16 38 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 39 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 40 H 0.06 0.59 8.14 -51.93 -0.42 0.16 16 41 H 0.09 1.49 5.88 -51.93 -0.31 1.19 16 42 H 0.07 0.72 8.14 -51.93 -0.42 0.29 16 43 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 44 H 0.04 0.96 8.02 -51.93 -0.42 0.54 16 45 H 0.05 1.14 4.44 -51.93 -0.23 0.91 16 46 H 0.27 6.92 8.31 -40.82 -0.34 6.58 16 47 H 0.08 1.44 8.11 -51.93 -0.42 1.02 16 48 H 0.08 1.40 6.95 -51.93 -0.36 1.04 16 49 H 0.11 1.69 8.14 -51.93 -0.42 1.27 16 50 H 0.09 1.31 8.03 -51.93 -0.42 0.89 16 51 H 0.09 1.09 8.14 -51.93 -0.42 0.67 16 52 H 0.09 1.03 8.14 -51.93 -0.42 0.61 16 53 H 0.09 1.10 8.14 -51.93 -0.42 0.67 16 LS Contribution 415.14 15.07 6.26 6.26 Total: -1.00 -27.97 415.14 -8.74 -36.70 By element: Atomic # 1 Polarization: 22.88 SS G_CDS: -9.13 Total: 13.74 kcal Atomic # 6 Polarization: 4.33 SS G_CDS: -0.35 Total: 3.97 kcal Atomic # 7 Polarization: -47.69 SS G_CDS: 0.01 Total: -47.68 kcal Atomic # 8 Polarization: -28.28 SS G_CDS: -0.49 Total: -28.77 kcal Atomic # 14 Polarization: 20.80 SS G_CDS: -5.02 Total: 15.78 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -27.97 -8.74 -36.70 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. ZINC000103437410.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 -61.215 kcal (2) G-P(sol) polarization free energy of solvation -27.966 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.182 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.735 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.702 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.917 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds