Wall clock time and date at job start Sat Apr 11 2020 06:11:46 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 1.52999 * 1 3 3 O 1.42905 * 109.46984 * 2 1 4 4 C 1.42902 * 114.00204 * 184.96133 * 3 2 1 5 5 H 1.09005 * 109.46505 * 34.15488 * 4 3 2 6 6 C 1.52992 * 109.46952 * 154.15462 * 4 3 2 7 7 C 1.53001 * 109.47233 * 294.99820 * 6 4 3 8 8 N 1.46503 * 109.46874 * 180.02562 * 7 6 4 9 9 C 1.34780 * 119.99759 * 179.97438 * 8 7 6 10 10 O 1.21345 * 120.00215 * 0.02562 * 9 8 7 11 11 C 1.49449 * 120.00059 * 179.97438 * 9 8 7 12 12 O 1.21349 * 119.99754 * 354.91953 * 11 9 8 13 13 N 1.34775 * 120.00258 * 174.91929 * 11 9 8 14 14 C 1.46499 * 120.00188 * 184.54451 * 13 11 9 15 15 C 1.52998 * 109.47275 * 185.05097 * 14 13 11 16 16 C 1.50704 * 115.54492 * 55.82789 * 15 14 13 17 17 H 1.07993 * 120.00336 * 272.12519 * 16 15 14 18 18 C 1.37879 * 119.99535 * 92.13265 * 16 15 14 19 19 N 1.31515 * 120.00270 * 4.15645 * 18 16 15 20 20 Si 1.86804 * 120.00042 * 184.15763 * 18 16 15 21 21 H 1.48503 * 109.47158 * 89.99468 * 20 18 16 22 22 H 1.48489 * 109.47415 * 209.99997 * 20 18 16 23 23 H 1.48503 * 109.46697 * 329.99999 * 20 18 16 24 24 C 1.52996 * 117.50099 * 270.16306 * 15 14 13 25 25 C 1.52991 * 117.50135 * 201.49615 * 15 14 13 26 26 C 1.53000 * 109.47091 * 274.15643 * 4 3 2 27 27 C 1.52999 * 109.47054 * 174.61033 * 26 4 3 28 28 C 1.53001 * 109.47031 * 294.61466 * 26 4 3 29 29 H 1.08999 * 109.47214 * 299.99985 * 1 2 3 30 30 H 1.08998 * 109.47420 * 60.00235 * 1 2 3 31 31 H 1.09002 * 109.47125 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.47214 * 240.00015 * 2 1 3 33 33 H 1.09006 * 109.47169 * 119.99789 * 2 1 3 34 34 H 1.09010 * 109.46788 * 175.00353 * 6 4 3 35 35 H 1.09000 * 109.47594 * 55.00154 * 6 4 3 36 36 H 1.09001 * 109.47496 * 300.00270 * 7 6 4 37 37 H 1.08998 * 109.47146 * 60.00743 * 7 6 4 38 38 H 0.97003 * 120.00029 * 0.02562 * 8 7 6 39 39 H 0.97002 * 119.99693 * 4.54931 * 13 11 9 40 40 H 1.09001 * 109.47393 * 305.05640 * 14 13 11 41 41 H 1.09001 * 109.46446 * 65.05713 * 14 13 11 42 42 H 0.97005 * 119.99975 * 185.00938 * 19 18 16 43 43 H 1.08995 * 117.50077 * 359.97438 * 24 15 14 44 44 H 1.08998 * 117.49673 * 145.02127 * 24 15 14 45 45 H 1.09004 * 117.50184 * 214.98244 * 25 15 14 46 46 H 1.09000 * 117.50246 * 359.97438 * 25 15 14 47 47 H 1.09006 * 109.47164 * 54.61135 * 26 4 3 48 48 H 1.09006 * 109.47052 * 60.00033 * 27 26 4 49 49 H 1.08993 * 109.47003 * 179.97438 * 27 26 4 50 50 H 1.08996 * 109.47353 * 300.00161 * 27 26 4 51 51 H 1.09001 * 109.46959 * 303.91985 * 28 26 4 52 52 H 1.08994 * 109.47437 * 63.91845 * 28 26 4 53 53 H 1.09000 * 109.46715 * 183.92389 * 28 26 4 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 1.3473 0.0000 4 6 3.4262 1.4619 -0.1129 5 1 3.8061 0.6602 -0.7464 6 6 3.7810 2.8143 -0.7340 7 6 3.2550 2.8699 -2.1697 8 7 3.5952 4.1648 -2.7645 9 6 3.2308 4.4404 -4.0325 10 8 2.6204 3.6163 -4.6812 11 6 3.5773 5.7616 -4.6392 12 8 4.1046 6.6202 -3.9629 13 7 3.3042 5.9994 -5.9374 14 6 3.7329 7.2553 -6.5580 15 6 3.1931 7.3280 -7.9878 16 6 1.6997 7.1819 -8.1267 17 1 1.2600 6.2005 -8.2264 18 6 0.8946 8.3012 -8.1269 19 7 1.4347 9.4997 -8.0881 20 14 -0.9634 8.1155 -8.1821 21 1 -1.4945 8.0384 -6.7974 22 1 -1.5575 9.2863 -8.8757 23 1 -1.3150 6.8738 -8.9169 24 6 4.0664 6.7493 -9.1029 25 6 3.9052 8.2653 -8.9649 26 6 4.0584 1.3571 1.2764 27 6 5.5826 1.3447 1.1436 28 6 3.6300 2.5571 2.1235 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 1.8933 -0.5138 -0.8900 33 1 1.8934 -0.5138 0.8900 34 1 4.8639 2.9391 -0.7387 35 1 3.3256 3.6135 -0.1490 36 1 3.7103 2.0708 -2.7547 37 1 2.1722 2.7452 -2.1650 38 1 4.0835 4.8234 -2.2461 39 1 2.8238 5.3389 -6.4608 40 1 3.3476 8.0958 -5.9809 41 1 4.8220 7.2972 -6.5783 42 1 0.8692 10.2844 -8.0148 43 1 5.0256 6.3172 -8.8180 44 1 3.5606 6.2634 -9.9373 45 1 3.2936 8.7762 -9.7087 46 1 4.7581 8.8307 -8.5892 47 1 3.7281 0.4364 1.7575 48 1 5.9129 2.2654 0.6626 49 1 6.0329 1.2705 2.1334 50 1 5.8878 0.4899 0.5402 51 1 3.8986 3.4796 1.6088 52 1 2.5512 2.5273 2.2764 53 1 4.1350 2.5193 3.0887 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 ZINC001323538377.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 06:11:46 Heat of formation + Delta-G solvation = -116.499359 kcal Electronic energy + Delta-G solvation = -29826.326896 eV Core-core repulsion = 25698.312846 eV Total energy + Delta-G solvation = -4128.014050 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -40.25411 -39.44618 -38.13879 -36.69780 -36.00143 -35.04762 -33.34941 -31.92816 -31.75077 -30.54248 -27.55122 -27.21969 -25.95152 -25.30189 -23.60712 -23.08108 -22.12340 -21.10786 -20.21320 -19.68052 -19.39300 -18.03128 -17.21877 -16.61860 -16.15699 -16.02874 -15.79532 -15.47324 -15.19621 -14.78599 -14.65621 -14.51169 -14.23339 -14.15553 -13.72984 -13.65354 -13.44993 -13.01774 -12.75084 -12.64918 -12.52382 -12.47773 -12.14117 -11.99692 -11.95192 -11.71790 -11.57573 -11.37686 -11.32521 -11.24246 -11.11131 -10.99656 -10.88465 -10.77921 -10.51540 -10.20259 -9.77931 -9.57437 -9.19797 -9.16853 -9.09890 -8.49996 -8.38881 -8.10625 -6.07786 -4.17122 1.83340 2.71408 3.29199 3.31656 3.36261 3.39147 3.64462 4.04578 4.27520 4.36390 4.38393 4.64457 4.72647 4.78062 4.82787 4.85149 4.95900 5.01950 5.03842 5.11079 5.18554 5.26325 5.29528 5.35673 5.38078 5.42444 5.52697 5.57030 5.61319 5.70961 5.75164 5.83270 5.84605 5.94831 5.98571 6.01429 6.28380 6.29610 6.40934 6.46898 6.68113 6.77418 6.92354 7.02076 7.12289 7.25663 7.35563 7.58773 7.81850 7.89767 8.18594 8.32580 8.56485 8.85156 9.50609 10.99279 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014278 B = 0.002162 C = 0.001999 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1960.548780 B =12946.091191 C =14005.711942 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C 0.057 3.943 3 O -0.377 6.377 4 C 0.100 3.900 5 H 0.063 0.937 6 C -0.133 4.133 7 C 0.120 3.880 8 N -0.708 5.708 9 C 0.508 3.492 10 O -0.519 6.519 11 C 0.495 3.505 12 O -0.541 6.541 13 N -0.664 5.664 14 C 0.159 3.841 15 C 0.016 3.984 16 C -0.498 4.498 17 H 0.061 0.939 18 C 0.074 3.926 19 N -0.875 5.875 20 Si 0.889 3.111 21 H -0.280 1.280 22 H -0.286 1.286 23 H -0.273 1.273 24 C -0.213 4.213 25 C -0.133 4.133 26 C -0.118 4.118 27 C -0.150 4.150 28 C -0.146 4.146 29 H 0.062 0.938 30 H 0.065 0.935 31 H 0.069 0.931 32 H 0.048 0.952 33 H 0.046 0.954 34 H 0.087 0.913 35 H 0.086 0.914 36 H 0.067 0.933 37 H 0.079 0.921 38 H 0.411 0.589 39 H 0.414 0.586 40 H 0.074 0.926 41 H 0.044 0.956 42 H 0.261 0.739 43 H 0.064 0.936 44 H 0.079 0.921 45 H 0.092 0.908 46 H 0.063 0.937 47 H 0.071 0.929 48 H 0.061 0.939 49 H 0.058 0.942 50 H 0.055 0.945 51 H 0.060 0.940 52 H 0.060 0.940 53 H 0.051 0.949 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.964 -17.551 18.749 26.365 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 -0.210 4.210 2 C -0.020 4.020 3 O -0.296 6.296 4 C 0.041 3.959 5 H 0.081 0.919 6 C -0.170 4.170 7 C -0.003 4.003 8 N -0.362 5.362 9 C 0.289 3.711 10 O -0.394 6.394 11 C 0.275 3.725 12 O -0.421 6.421 13 N -0.313 5.313 14 C 0.036 3.964 15 C 0.015 3.985 16 C -0.536 4.536 17 H 0.079 0.921 18 C -0.130 4.130 19 N -0.512 5.512 20 Si 0.716 3.284 21 H -0.206 1.206 22 H -0.212 1.212 23 H -0.197 1.197 24 C -0.250 4.250 25 C -0.171 4.171 26 C -0.137 4.137 27 C -0.208 4.208 28 C -0.203 4.203 29 H 0.081 0.919 30 H 0.084 0.916 31 H 0.088 0.912 32 H 0.067 0.933 33 H 0.064 0.936 34 H 0.105 0.895 35 H 0.104 0.896 36 H 0.085 0.915 37 H 0.097 0.903 38 H 0.247 0.753 39 H 0.251 0.749 40 H 0.092 0.908 41 H 0.062 0.938 42 H 0.071 0.929 43 H 0.083 0.917 44 H 0.097 0.903 45 H 0.111 0.889 46 H 0.081 0.919 47 H 0.089 0.911 48 H 0.080 0.920 49 H 0.077 0.923 50 H 0.074 0.926 51 H 0.079 0.921 52 H 0.079 0.921 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges 5.725 -17.167 18.657 25.991 hybrid contribution -0.882 -0.235 0.082 0.917 sum 4.843 -17.402 18.739 26.027 Atomic orbital electron populations 1.21749 0.93721 1.02193 1.03325 1.22493 0.95652 0.83930 0.99875 1.87962 1.20873 1.26277 1.94478 1.22035 0.81492 0.97261 0.95100 0.91877 1.22016 1.01965 0.97939 0.95087 1.21390 1.01703 0.84672 0.92560 1.45734 1.58213 1.18537 1.13696 1.20470 0.79899 0.88297 0.82422 1.90749 1.38814 1.48624 1.61257 1.19933 0.81271 0.87555 0.83777 1.90707 1.44011 1.46259 1.61077 1.45827 1.54531 1.21722 1.09268 1.21191 0.95903 0.84183 0.95099 1.19048 0.93351 1.00575 0.85512 1.20358 0.88717 0.92854 1.51634 0.92057 1.24978 0.98572 0.95262 0.94202 1.70007 1.35221 0.97499 1.48444 0.86636 0.85690 0.77735 0.78291 1.20552 1.21231 1.19728 1.23108 1.00286 0.97679 1.03932 1.22441 1.00579 0.90274 1.03846 1.21599 0.95886 0.99852 0.96323 1.21895 0.94583 1.02228 1.02069 1.21829 1.01833 0.97606 0.99042 0.91918 0.91597 0.91238 0.93330 0.93620 0.89477 0.89592 0.91494 0.90312 0.75305 0.74940 0.90813 0.93787 0.92894 0.91748 0.90252 0.88920 0.91867 0.91082 0.91973 0.92339 0.92627 0.92108 0.92053 0.93020 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 -1.07 10.28 37.16 0.38 -0.68 16 2 C 0.06 0.42 6.48 37.16 0.24 0.66 16 3 O -0.38 -3.44 9.16 -35.23 -0.32 -3.76 16 4 C 0.10 0.74 1.87 -26.74 -0.05 0.69 16 5 H 0.06 0.43 7.77 -51.93 -0.40 0.03 16 6 C -0.13 -1.04 4.23 -26.73 -0.11 -1.15 16 7 C 0.12 1.29 5.57 -4.04 -0.02 1.27 16 8 N -0.71 -9.14 5.55 -60.73 -0.34 -9.47 16 9 C 0.51 8.56 7.89 -11.58 -0.09 8.47 16 10 O -0.52 -9.84 16.49 5.50 0.09 -9.75 16 11 C 0.50 9.49 7.88 -11.59 -0.09 9.40 16 12 O -0.54 -11.14 16.47 5.50 0.09 -11.05 16 13 N -0.66 -13.52 5.35 -60.73 -0.33 -13.84 16 14 C 0.16 3.52 5.58 -4.04 -0.02 3.50 16 15 C 0.02 0.38 1.69 -155.67 -0.26 0.11 16 16 C -0.50 -13.04 8.32 -34.44 -0.29 -13.32 16 17 H 0.06 1.60 7.82 -52.49 -0.41 1.19 16 18 C 0.07 1.98 5.41 -17.82 -0.10 1.88 16 19 N -0.88 -24.26 12.05 55.43 0.67 -23.59 16 20 Si 0.89 21.04 29.54 -169.99 -5.02 16.01 16 21 H -0.28 -6.67 7.11 56.52 0.40 -6.27 16 22 H -0.29 -6.75 7.11 56.52 0.40 -6.35 16 23 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 24 C -0.21 -4.48 9.93 -26.69 -0.27 -4.75 16 25 C -0.13 -3.05 8.91 -26.69 -0.24 -3.29 16 26 C -0.12 -0.75 2.85 -90.62 -0.26 -1.01 16 27 C -0.15 -0.81 8.96 37.16 0.33 -0.48 16 28 C -0.15 -0.99 8.68 37.16 0.32 -0.67 16 29 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 30 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 31 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 32 H 0.05 0.33 7.97 -51.93 -0.41 -0.08 16 33 H 0.05 0.28 7.57 -51.93 -0.39 -0.11 16 34 H 0.09 0.56 6.36 -51.92 -0.33 0.23 16 35 H 0.09 0.70 6.56 -51.93 -0.34 0.36 16 36 H 0.07 0.72 8.14 -51.93 -0.42 0.29 16 37 H 0.08 0.98 7.82 -51.93 -0.41 0.57 16 38 H 0.41 4.73 7.96 -40.82 -0.32 4.41 16 39 H 0.41 8.39 7.65 -40.82 -0.31 8.08 16 40 H 0.07 1.82 8.10 -51.93 -0.42 1.40 16 41 H 0.04 0.91 8.10 -51.93 -0.42 0.49 16 42 H 0.26 6.97 8.32 -40.82 -0.34 6.63 16 43 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 44 H 0.08 1.67 8.14 -51.93 -0.42 1.24 16 45 H 0.09 2.31 7.75 -51.93 -0.40 1.91 16 46 H 0.06 1.35 8.14 -51.93 -0.42 0.93 16 47 H 0.07 0.45 7.54 -51.93 -0.39 0.06 16 48 H 0.06 0.33 6.48 -51.93 -0.34 0.00 16 49 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 50 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 51 H 0.06 0.41 6.23 -51.93 -0.32 0.09 16 52 H 0.06 0.48 7.94 -51.93 -0.41 0.06 16 53 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 LS Contribution 429.82 15.07 6.48 6.48 Total: -1.00 -30.05 429.82 -8.61 -38.66 By element: Atomic # 1 Polarization: 19.09 SS G_CDS: -9.40 Total: 9.69 kcal Atomic # 6 Polarization: 1.15 SS G_CDS: -0.52 Total: 0.63 kcal Atomic # 7 Polarization: -46.91 SS G_CDS: 0.01 Total: -46.91 kcal Atomic # 8 Polarization: -24.42 SS G_CDS: -0.14 Total: -24.56 kcal Atomic # 14 Polarization: 21.04 SS G_CDS: -5.02 Total: 16.01 kcal Total LS contribution 6.48 Total: 6.48 kcal Total: -30.05 -8.61 -38.66 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. ZINC001323538377.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 -77.840 kcal (2) G-P(sol) polarization free energy of solvation -30.054 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.894 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.605 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.660 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.499 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds