Wall clock time and date at job start Sat Apr 11 2020 06:10:47 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 O 1.42895 * 109.47324 * 2 1 4 4 C 1.42904 * 114.00577 * 179.97438 * 3 2 1 5 5 H 1.09000 * 115.55560 * 4.31074 * 4 3 2 6 6 C 1.53000 * 117.49942 * 218.62474 * 4 3 2 7 7 C 1.52996 * 117.50336 * 149.99991 * 4 3 2 8 8 H 1.09006 * 117.51327 * 0.02562 * 7 4 3 9 9 C 1.50692 * 117.49903 * 214.98121 * 7 4 3 10 10 O 1.21280 * 120.00390 * 359.97438 * 9 7 4 11 11 N 1.34774 * 120.00010 * 179.97438 * 9 7 4 12 12 C 1.46507 * 120.00135 * 179.97438 * 11 9 7 13 13 C 1.53003 * 109.47133 * 180.02562 * 12 11 9 14 14 C 1.53006 * 109.44319 * 60.04079 * 13 12 11 15 15 O 1.42900 * 109.47145 * 299.95906 * 14 13 12 16 16 C 1.42895 * 114.00231 * 180.02562 * 15 14 13 17 17 C 1.53042 * 109.45712 * 179.97438 * 13 12 11 18 18 C 1.53195 * 109.31043 * 181.38794 * 17 13 12 19 19 N 1.46927 * 108.77518 * 305.37022 * 18 17 13 20 20 C 1.36937 * 120.62970 * 233.58634 * 19 18 17 21 21 H 1.08002 * 120.00241 * 152.63012 * 20 19 18 22 22 C 1.38821 * 119.99837 * 332.62884 * 20 19 18 23 23 N 1.31613 * 119.99769 * 159.36053 * 22 20 19 24 24 Si 1.86797 * 119.99869 * 339.35971 * 22 20 19 25 25 H 1.48501 * 109.46815 * 92.91081 * 24 22 20 26 26 H 1.48504 * 109.46873 * 212.90737 * 24 22 20 27 27 H 1.48500 * 109.47293 * 332.91235 * 24 22 20 28 28 C 1.46920 * 118.73981 * 53.61024 * 19 18 17 29 29 C 1.53029 * 109.46332 * 300.07251 * 13 12 11 30 30 H 1.08994 * 109.47176 * 179.97438 * 1 2 3 31 31 H 1.09000 * 109.47218 * 300.00505 * 1 2 3 32 32 H 1.09000 * 109.47106 * 60.00165 * 1 2 3 33 33 H 1.09004 * 109.47377 * 239.99988 * 2 1 3 34 34 H 1.09000 * 109.47106 * 119.99835 * 2 1 3 35 35 H 1.09001 * 117.49593 * 145.02031 * 6 4 3 36 36 H 1.08994 * 117.49847 * 359.97438 * 6 4 3 37 37 H 0.96996 * 120.00235 * 0.02562 * 11 9 7 38 38 H 1.09005 * 109.46746 * 60.00650 * 12 11 9 39 39 H 1.09003 * 109.47149 * 300.00640 * 12 11 9 40 40 H 1.08995 * 109.47223 * 59.96639 * 14 13 12 41 41 H 1.09000 * 109.46624 * 179.97438 * 14 13 12 42 42 H 1.08998 * 109.47105 * 60.00242 * 16 15 14 43 43 H 1.09002 * 109.47645 * 180.02562 * 16 15 14 44 44 H 1.09006 * 109.47123 * 300.00616 * 16 15 14 45 45 H 1.09003 * 109.49147 * 61.44086 * 17 13 12 46 46 H 1.08994 * 109.50052 * 301.34257 * 17 13 12 47 47 H 1.09004 * 109.58644 * 65.15605 * 18 17 13 48 48 H 1.08994 * 109.58603 * 185.58233 * 18 17 13 49 49 H 0.97004 * 119.99979 * 179.97438 * 23 22 20 50 50 H 1.08992 * 109.58945 * 66.17700 * 28 19 18 51 51 H 1.09002 * 109.58793 * 186.60893 * 28 19 18 52 52 H 1.09003 * 109.49911 * 58.65922 * 29 13 12 53 53 H 1.09008 * 109.49902 * 298.56227 * 29 13 12 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 8 2.0063 1.3472 0.0000 4 6 3.4309 1.4601 0.0006 5 1 3.9772 0.5198 -0.0730 6 6 4.0510 2.5730 0.8478 7 6 4.0427 2.6874 -0.6779 8 1 3.3587 3.4092 -1.1244 9 6 5.3543 2.5037 -1.3966 10 8 5.8849 1.4134 -1.4212 11 7 5.9379 3.5510 -2.0122 12 6 7.2134 3.3726 -2.7106 13 6 7.6539 4.7065 -3.3169 14 6 7.8235 5.7412 -2.2026 15 8 6.5795 5.9158 -1.5213 16 6 6.6286 6.8672 -0.4563 17 6 8.9866 4.5198 -4.0458 18 6 9.4416 5.8644 -4.6218 19 7 8.3653 6.4076 -5.4616 20 6 8.6110 6.7802 -6.7562 21 1 7.8156 6.7529 -7.4863 22 6 9.8826 7.1930 -7.1302 23 7 10.2387 7.1613 -8.3969 24 14 11.0880 7.7934 -5.8357 25 1 11.9287 6.6581 -5.3778 26 1 11.9557 8.8482 -6.4187 27 1 10.3381 8.3511 -4.6817 28 6 7.0205 6.5440 -4.8859 29 6 6.5923 5.1921 -4.3064 30 1 -0.3633 -1.0276 -0.0005 31 1 -0.3634 0.5139 0.8899 32 1 -0.3633 0.5138 -0.8900 33 1 1.8934 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 5.0053 2.3648 1.3316 36 1 3.3724 3.2193 1.4044 37 1 5.5138 4.4232 -1.9923 38 1 7.0931 2.6346 -3.5037 39 1 7.9689 3.0275 -2.0047 40 1 8.5787 5.3949 -1.4971 41 1 8.1377 6.6915 -2.6341 42 1 6.9181 7.8408 -0.8518 43 1 5.6463 6.9416 0.0101 44 1 7.3592 6.5447 0.2856 45 1 8.8607 3.8010 -4.8554 46 1 9.7360 4.1518 -3.3451 47 1 9.6550 6.5573 -3.8078 48 1 10.3377 5.7190 -5.2250 49 1 11.1271 7.4501 -8.6583 50 1 7.0364 7.2922 -4.0935 51 1 6.3191 6.8469 -5.6633 52 1 5.6381 5.3025 -3.7912 53 1 6.4887 4.4671 -5.1138 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 ZINC001162136623.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 06:10:47 Heat of formation + Delta-G solvation = -72.392302 kcal Electronic energy + Delta-G solvation = -31324.222393 eV Core-core repulsion = 27198.120969 eV Total energy + Delta-G solvation = -4126.101424 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.34853 -39.43438 -38.19514 -37.00704 -35.42936 -34.85643 -33.02138 -31.32303 -31.09758 -30.44059 -27.67025 -27.30539 -25.35347 -24.44975 -23.42385 -23.22037 -22.65104 -22.27721 -21.07176 -20.05198 -18.57488 -17.91349 -16.92199 -16.60542 -16.28600 -15.93744 -15.86458 -15.81741 -15.23336 -15.14901 -14.94065 -14.56355 -14.13512 -14.03007 -13.68446 -13.56080 -13.28391 -13.08775 -12.96214 -12.75582 -12.67220 -12.44205 -12.38331 -12.12079 -11.97776 -11.79769 -11.53982 -11.48733 -11.29320 -11.21348 -10.88483 -10.77261 -10.58618 -10.51346 -10.12655 -10.01569 -9.84666 -9.73032 -9.59896 -9.43326 -9.38490 -8.85356 -8.63610 -6.99192 -5.97053 -3.32672 2.49457 2.88013 3.27684 3.39258 3.44128 3.46480 3.67388 3.82745 4.49535 4.51330 4.60027 4.72041 4.74697 4.82445 4.89493 4.93036 4.97315 5.01290 5.05171 5.11930 5.19852 5.26915 5.32900 5.38067 5.41984 5.47837 5.50625 5.55079 5.57278 5.58874 5.65134 5.72437 5.76579 5.77336 5.87178 5.94039 6.01222 6.15390 6.30582 6.38677 6.38923 6.55905 6.62488 6.64063 6.67643 6.89659 6.90787 7.12299 7.75266 7.94056 8.31116 8.35962 8.91851 9.69733 10.07286 11.19027 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021413 B = 0.002425 C = 0.002341 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1307.322645 B =11542.525835 C =11956.060341 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C 0.057 3.943 3 O -0.357 6.357 4 C 0.051 3.949 5 H 0.124 0.876 6 C -0.155 4.155 7 C -0.188 4.188 8 H 0.128 0.872 9 C 0.539 3.461 10 O -0.557 6.557 11 N -0.703 5.703 12 C 0.133 3.867 13 C -0.058 4.058 14 C 0.067 3.933 15 O -0.393 6.393 16 C 0.035 3.965 17 C -0.122 4.122 18 C 0.125 3.875 19 N -0.605 5.605 20 C -0.258 4.258 21 H 0.086 0.914 22 C 0.022 3.978 23 N -0.907 5.907 24 Si 0.882 3.118 25 H -0.288 1.288 26 H -0.303 1.303 27 H -0.273 1.273 28 C 0.149 3.851 29 C -0.120 4.120 30 H 0.072 0.928 31 H 0.063 0.937 32 H 0.064 0.936 33 H 0.053 0.947 34 H 0.052 0.948 35 H 0.105 0.895 36 H 0.109 0.891 37 H 0.413 0.587 38 H 0.068 0.932 39 H 0.062 0.938 40 H 0.045 0.955 41 H 0.067 0.933 42 H 0.042 0.958 43 H 0.083 0.917 44 H 0.037 0.963 45 H 0.077 0.923 46 H 0.058 0.942 47 H 0.024 0.976 48 H 0.075 0.925 49 H 0.262 0.738 50 H 0.023 0.977 51 H 0.063 0.937 52 H 0.060 0.940 53 H 0.065 0.935 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.819 -8.631 20.589 26.256 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 -0.019 4.019 3 O -0.276 6.276 4 C -0.008 4.008 5 H 0.141 0.859 6 C -0.193 4.193 7 C -0.210 4.210 8 H 0.146 0.854 9 C 0.324 3.676 10 O -0.436 6.436 11 N -0.359 5.359 12 C 0.009 3.991 13 C -0.058 4.058 14 C -0.009 4.009 15 O -0.312 6.312 16 C -0.062 4.062 17 C -0.162 4.162 18 C -0.001 4.001 19 N -0.328 5.328 20 C -0.386 4.386 21 H 0.103 0.897 22 C -0.177 4.177 23 N -0.550 5.550 24 Si 0.713 3.287 25 H -0.216 1.216 26 H -0.232 1.232 27 H -0.198 1.198 28 C 0.023 3.977 29 C -0.159 4.159 30 H 0.091 0.909 31 H 0.082 0.918 32 H 0.083 0.917 33 H 0.071 0.929 34 H 0.070 0.930 35 H 0.124 0.876 36 H 0.127 0.873 37 H 0.255 0.745 38 H 0.086 0.914 39 H 0.080 0.920 40 H 0.064 0.936 41 H 0.085 0.915 42 H 0.060 0.940 43 H 0.101 0.899 44 H 0.056 0.944 45 H 0.095 0.905 46 H 0.077 0.923 47 H 0.042 0.958 48 H 0.093 0.907 49 H 0.072 0.928 50 H 0.041 0.959 51 H 0.081 0.919 52 H 0.079 0.921 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges -13.618 -9.250 20.345 26.171 hybrid contribution 1.071 0.877 0.714 1.557 sum -12.547 -8.373 21.058 25.903 Atomic orbital electron populations 1.21757 0.93519 1.02426 1.03201 1.22570 0.95525 0.83237 1.00588 1.87808 1.18637 1.27122 1.93997 1.22597 0.81872 0.94405 1.01910 0.85863 1.23403 1.02858 1.01985 0.91018 1.22649 0.97668 1.04158 0.96507 0.85431 1.19526 0.85121 0.84268 0.78647 1.90669 1.65455 1.25781 1.61719 1.46217 1.23501 1.12830 1.53330 1.21416 0.84954 0.96944 0.95767 1.20782 0.97902 0.92843 0.94306 1.22798 0.85268 0.99684 0.93137 1.87479 1.33610 1.61704 1.48425 1.22688 1.02101 0.91945 0.89446 1.22016 0.94063 1.00739 0.99337 1.21370 0.92990 0.91669 0.94072 1.44354 1.04683 1.72497 1.11306 1.18926 0.97294 1.38768 0.83650 0.89678 1.25288 0.97455 0.99351 0.95565 1.69836 1.19946 1.49644 1.15621 0.86962 0.81110 0.78370 0.82279 1.21630 1.23173 1.19768 1.20946 0.87368 0.93204 0.96182 1.22001 0.96478 0.99936 0.97462 0.90900 0.91836 0.91722 0.92854 0.93005 0.87639 0.87271 0.74487 0.91375 0.92013 0.93634 0.91537 0.93967 0.89871 0.94440 0.90463 0.92301 0.95783 0.90687 0.92779 0.95890 0.91870 0.92101 0.91611 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.95 10.28 37.16 0.38 -0.57 16 2 C 0.06 0.45 6.53 37.16 0.24 0.70 16 3 O -0.36 -3.74 10.60 -35.23 -0.37 -4.11 16 4 C 0.05 0.53 5.96 -26.73 -0.16 0.37 16 5 H 0.12 1.33 7.45 -51.93 -0.39 0.95 16 6 C -0.15 -1.40 10.18 -26.73 -0.27 -1.68 16 7 C -0.19 -2.04 6.14 -91.78 -0.56 -2.61 16 8 H 0.13 1.26 8.14 -51.93 -0.42 0.84 16 9 C 0.54 7.35 7.61 -10.99 -0.08 7.27 16 10 O -0.56 -9.39 16.26 5.56 0.09 -9.30 16 11 N -0.70 -9.10 4.61 -60.29 -0.28 -9.37 16 12 C 0.13 1.86 4.56 -4.04 -0.02 1.84 16 13 C -0.06 -0.84 0.51 -154.47 -0.08 -0.92 16 14 C 0.07 0.91 4.04 37.16 0.15 1.06 16 15 O -0.39 -4.70 6.77 -35.23 -0.24 -4.93 16 16 C 0.03 0.33 11.01 101.05 1.11 1.44 16 17 C -0.12 -2.01 4.91 -26.61 -0.13 -2.14 16 18 C 0.12 2.56 3.73 -3.71 -0.01 2.55 16 19 N -0.60 -13.70 2.77 -172.32 -0.48 -14.18 16 20 C -0.26 -7.03 10.04 -15.06 -0.15 -7.19 16 21 H 0.09 2.49 8.06 -52.49 -0.42 2.07 16 22 C 0.02 0.63 5.23 -17.43 -0.09 0.54 16 23 N -0.91 -27.50 13.97 55.49 0.78 -26.73 16 24 Si 0.88 21.88 24.34 -169.99 -4.14 17.74 16 25 H -0.29 -6.88 6.62 56.52 0.37 -6.51 16 26 H -0.30 -7.72 7.11 56.52 0.40 -7.32 16 27 H -0.27 -6.58 6.64 56.52 0.38 -6.20 16 28 C 0.15 2.79 6.05 -3.71 -0.02 2.77 16 29 C -0.12 -1.87 4.59 -26.62 -0.12 -1.99 16 30 H 0.07 0.33 8.14 -51.93 -0.42 -0.09 16 31 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 32 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 34 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 35 H 0.11 0.93 8.14 -51.93 -0.42 0.51 16 36 H 0.11 0.84 8.14 -51.93 -0.42 0.42 16 37 H 0.41 5.00 4.69 -40.82 -0.19 4.81 16 38 H 0.07 1.02 8.14 -51.93 -0.42 0.60 16 39 H 0.06 0.87 8.14 -51.93 -0.42 0.45 16 40 H 0.05 0.58 8.14 -51.93 -0.42 0.16 16 41 H 0.07 1.02 4.98 -51.93 -0.26 0.76 16 42 H 0.04 0.40 8.14 -51.93 -0.42 -0.02 16 43 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 44 H 0.04 0.33 8.14 -51.93 -0.42 -0.09 16 45 H 0.08 1.34 8.14 -51.93 -0.42 0.92 16 46 H 0.06 0.85 8.14 -51.93 -0.42 0.42 16 47 H 0.02 0.49 5.62 -51.93 -0.29 0.19 16 48 H 0.08 1.72 4.50 -51.93 -0.23 1.49 16 49 H 0.26 7.56 8.31 -40.82 -0.34 7.22 16 50 H 0.02 0.42 6.69 -51.93 -0.35 0.07 16 51 H 0.06 1.21 7.93 -51.93 -0.41 0.80 16 52 H 0.06 0.85 6.49 -51.93 -0.34 0.51 16 53 H 0.07 1.11 8.14 -51.92 -0.42 0.69 16 LS Contribution 404.18 15.07 6.09 6.09 Total: -1.00 -31.99 404.18 -7.63 -39.62 By element: Atomic # 1 Polarization: 13.00 SS G_CDS: -9.26 Total: 3.74 kcal Atomic # 6 Polarization: 1.25 SS G_CDS: 0.18 Total: 1.43 kcal Atomic # 7 Polarization: -50.30 SS G_CDS: 0.02 Total: -50.28 kcal Atomic # 8 Polarization: -17.82 SS G_CDS: -0.52 Total: -18.35 kcal Atomic # 14 Polarization: 21.88 SS G_CDS: -4.14 Total: 17.74 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -31.99 -7.63 -39.62 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. ZINC001162136623.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 -32.773 kcal (2) G-P(sol) polarization free energy of solvation -31.993 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -64.766 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.626 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.619 kcal (6) G-S(sol) free energy of system = (1) + (5) -72.392 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds