Wall clock time and date at job start Sat Apr 11 2020 06:09:51 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 O 1.42897 * 1 3 3 C 1.42893 * 114.00265 * 2 1 4 4 C 1.53005 * 109.54124 * 59.45103 * 3 2 1 5 5 H 1.08997 * 109.47073 * 170.43242 * 4 3 2 6 6 C 1.52993 * 109.47326 * 50.42794 * 4 3 2 7 7 N 1.46498 * 109.47021 * 290.42793 * 4 3 2 8 8 C 1.34777 * 120.00288 * 193.84702 * 7 4 3 9 9 O 1.21586 * 119.99631 * 5.21351 * 8 7 4 10 10 N 1.34773 * 120.00230 * 185.22039 * 8 7 4 11 11 C 1.46929 * 120.62915 * 4.84860 * 10 8 7 12 12 C 1.52760 * 109.00608 * 233.58488 * 11 10 8 13 13 C 1.53038 * 109.38581 * 305.58912 * 12 11 10 14 14 C 1.50706 * 109.44776 * 181.25581 * 13 12 11 15 15 H 1.08007 * 119.99690 * 239.93544 * 14 13 12 16 16 C 1.37873 * 120.00093 * 59.94182 * 14 13 12 17 17 N 1.31513 * 120.00392 * 359.97438 * 16 14 13 18 18 Si 1.86797 * 119.99678 * 179.97438 * 16 14 13 19 19 H 1.48503 * 109.47598 * 59.99970 * 18 16 14 20 20 H 1.48507 * 109.46918 * 179.97438 * 18 16 14 21 21 H 1.48498 * 109.47434 * 299.99463 * 18 16 14 22 22 C 1.53032 * 109.53826 * 61.24350 * 13 12 11 23 23 C 1.46927 * 120.63089 * 185.13291 * 10 8 7 24 24 C 1.53175 * 109.54651 * 299.18064 * 3 2 1 25 25 C 1.53088 * 109.16261 * 297.11696 * 24 3 2 26 26 O 1.42898 * 109.41389 * 302.38634 * 25 24 3 27 27 C 1.42903 * 114.09928 * 61.16065 * 26 25 24 28 28 C 1.53092 * 109.41466 * 298.84122 * 27 26 25 29 29 H 1.09005 * 109.47000 * 52.53659 * 1 2 3 30 30 H 1.09007 * 109.47726 * 172.53161 * 1 2 3 31 31 H 1.09001 * 109.47619 * 292.53477 * 1 2 3 32 32 H 1.09001 * 109.47076 * 179.97438 * 6 4 3 33 33 H 1.08997 * 109.47411 * 300.00241 * 6 4 3 34 34 H 1.09004 * 109.47327 * 59.99958 * 6 4 3 35 35 H 0.97007 * 120.00108 * 13.84433 * 7 4 3 36 36 H 1.09001 * 109.58803 * 353.42144 * 11 10 8 37 37 H 1.09001 * 109.58547 * 113.84670 * 11 10 8 38 38 H 1.09006 * 109.56513 * 185.55485 * 12 11 10 39 39 H 1.09001 * 109.38965 * 65.52100 * 12 11 10 40 40 H 1.09000 * 109.46120 * 301.22072 * 13 12 11 41 41 H 0.96993 * 120.00524 * 180.02562 * 17 16 14 42 42 H 1.09004 * 109.50052 * 178.68701 * 22 13 12 43 43 H 1.08996 * 109.52718 * 58.59870 * 22 13 12 44 44 H 1.08999 * 109.58543 * 246.15279 * 23 10 8 45 45 H 1.08994 * 109.58510 * 6.42991 * 23 10 8 46 46 H 1.09006 * 109.51715 * 57.01817 * 24 3 2 47 47 H 1.08999 * 109.52690 * 177.20356 * 24 3 2 48 48 H 1.09003 * 109.48265 * 182.40459 * 25 24 3 49 49 H 1.08996 * 109.48603 * 62.37243 * 25 24 3 50 50 H 1.09001 * 109.48417 * 178.85851 * 27 26 25 51 51 H 1.09000 * 109.49088 * 58.83019 * 27 26 25 52 52 H 1.08997 * 109.52273 * 297.70469 * 28 27 26 53 53 H 1.08998 * 109.52379 * 177.50891 * 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 6 1.5489 2.0710 1.2418 5 1 2.1196 2.9953 1.3316 6 6 1.7749 1.2092 2.4855 7 7 0.1237 2.3871 1.1191 8 6 -0.4403 3.2890 1.9467 9 8 0.2508 3.9095 2.7313 10 7 -1.7703 3.5029 1.9048 11 6 -2.6327 2.6873 1.0388 12 6 -3.4603 3.6120 0.1480 13 6 -4.2157 4.6164 1.0214 14 6 -5.0566 5.5096 0.1461 15 1 -4.8932 6.5773 0.1489 16 6 -6.0345 4.9640 -0.6582 17 7 -6.2332 3.6640 -0.6619 18 14 -7.0773 6.0713 -1.7425 19 1 -6.2002 6.8037 -2.6910 20 1 -8.0487 5.2457 -2.5041 21 1 -7.8118 7.0447 -0.8950 22 6 -3.2143 5.4674 1.8056 23 6 -2.3846 4.5601 2.7194 24 6 1.5758 2.0598 -1.2603 25 6 2.1089 1.3265 -2.4938 26 8 3.5315 1.2230 -2.4069 27 6 3.9948 0.4868 -1.2732 28 6 3.5374 1.1863 0.0095 29 1 -0.3633 0.6251 -0.8157 30 1 -0.3635 -1.0190 -0.1336 31 1 -0.3634 0.3938 0.9492 32 1 1.4466 1.7549 3.3702 33 1 1.2042 0.2849 2.3957 34 1 2.8353 0.9740 2.5769 35 1 -0.4141 1.9473 0.4420 36 1 -2.0166 2.0381 0.4167 37 1 -3.3000 2.0826 1.6529 38 1 -4.1735 3.0221 -0.4278 39 1 -2.7979 4.1474 -0.5323 40 1 -4.8599 4.0797 1.7178 41 1 -6.9210 3.2800 -1.2280 42 1 -3.7523 6.1981 2.4097 43 1 -2.5537 5.9857 1.1105 44 1 -3.0312 4.1112 3.4734 45 1 -1.6049 5.1444 3.2079 46 1 0.4873 2.1009 -1.3031 47 1 1.9787 3.0723 -1.2359 48 1 1.8391 1.8821 -3.3919 49 1 1.6740 0.3281 -2.5395 50 1 5.0835 0.4374 -1.2919 51 1 3.5847 -0.5227 -1.3027 52 1 3.9800 2.1811 0.0595 53 1 3.8518 0.6027 0.8747 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 ZINC001365649148.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 06:09:51 Heat of formation + Delta-G solvation = -105.772822 kcal Electronic energy + Delta-G solvation = -32728.539030 eV Core-core repulsion = 28600.990118 eV Total energy + Delta-G solvation = -4127.548912 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -41.21715 -39.66779 -37.81196 -36.90115 -34.78295 -33.65217 -32.91625 -31.54183 -31.27778 -30.19345 -29.56113 -27.20295 -26.23742 -25.33541 -23.74204 -23.11002 -22.48325 -21.65724 -20.57155 -20.01424 -18.89165 -17.80078 -16.73823 -16.55628 -16.30658 -16.16085 -15.90275 -15.71418 -15.35971 -15.02197 -14.63037 -14.61656 -14.20802 -13.72466 -13.49708 -13.33550 -13.07968 -13.06398 -12.93300 -12.68835 -12.64468 -12.59037 -12.27301 -11.91656 -11.83203 -11.68109 -11.50812 -11.35044 -11.27864 -10.96449 -10.84687 -10.70435 -10.60260 -10.43256 -10.20003 -9.98822 -9.79401 -9.63289 -9.47683 -9.21747 -9.03360 -8.93567 -8.42409 -7.95280 -6.08066 -4.14129 2.91694 3.26394 3.31211 3.34465 3.39354 3.51914 3.66046 4.10446 4.28415 4.36865 4.37721 4.45836 4.71981 4.94323 5.00677 5.10844 5.14526 5.15689 5.21037 5.25958 5.30227 5.38039 5.41159 5.45021 5.50450 5.52725 5.64279 5.71757 5.73386 5.80263 5.85370 5.87952 5.95960 6.02276 6.13577 6.19827 6.21608 6.42502 6.61456 6.62452 6.79968 6.88060 6.94172 6.96587 7.06317 7.15619 7.37591 7.61195 7.86282 7.97418 8.24067 8.35266 8.88918 8.89561 9.51188 10.97374 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014592 B = 0.003147 C = 0.002814 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1918.373835 B = 8895.343866 C = 9948.491058 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.002 3.998 2 O -0.367 6.367 3 C 0.111 3.889 4 C 0.143 3.857 5 H 0.089 0.911 6 C -0.159 4.159 7 N -0.755 5.755 8 C 0.705 3.295 9 O -0.602 6.602 10 N -0.618 5.618 11 C 0.111 3.889 12 C -0.125 4.125 13 C 0.051 3.949 14 C -0.512 4.512 15 H 0.054 0.946 16 C 0.062 3.938 17 N -0.892 5.892 18 Si 0.891 3.109 19 H -0.278 1.278 20 H -0.287 1.287 21 H -0.277 1.277 22 C -0.125 4.125 23 C 0.130 3.870 24 C -0.183 4.183 25 C 0.067 3.933 26 O -0.383 6.383 27 C 0.064 3.936 28 C -0.137 4.137 29 H 0.048 0.952 30 H 0.091 0.909 31 H 0.062 0.938 32 H 0.066 0.934 33 H 0.061 0.939 34 H 0.063 0.937 35 H 0.397 0.603 36 H 0.049 0.951 37 H 0.063 0.937 38 H 0.104 0.896 39 H 0.038 0.962 40 H 0.028 0.972 41 H 0.261 0.739 42 H 0.061 0.939 43 H 0.051 0.949 44 H 0.057 0.943 45 H 0.079 0.921 46 H 0.079 0.921 47 H 0.086 0.914 48 H 0.095 0.905 49 H 0.056 0.944 50 H 0.094 0.906 51 H 0.059 0.941 52 H 0.088 0.912 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 16.486 -9.614 0.120 19.085 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 -0.094 4.094 2 O -0.286 6.286 3 C 0.070 3.930 4 C 0.037 3.963 5 H 0.106 0.894 6 C -0.218 4.218 7 N -0.419 5.419 8 C 0.407 3.593 9 O -0.481 6.481 10 N -0.355 5.355 11 C -0.012 4.012 12 C -0.163 4.163 13 C 0.032 3.968 14 C -0.550 4.550 15 H 0.073 0.927 16 C -0.139 4.139 17 N -0.532 5.532 18 Si 0.719 3.281 19 H -0.204 1.204 20 H -0.213 1.213 21 H -0.203 1.203 22 C -0.163 4.163 23 C 0.008 3.992 24 C -0.220 4.220 25 C -0.010 4.010 26 O -0.302 6.302 27 C -0.012 4.012 28 C -0.175 4.175 29 H 0.066 0.934 30 H 0.110 0.890 31 H 0.080 0.920 32 H 0.085 0.915 33 H 0.080 0.920 34 H 0.082 0.918 35 H 0.240 0.760 36 H 0.067 0.933 37 H 0.082 0.918 38 H 0.122 0.878 39 H 0.056 0.944 40 H 0.046 0.954 41 H 0.071 0.929 42 H 0.079 0.921 43 H 0.070 0.930 44 H 0.076 0.924 45 H 0.097 0.903 46 H 0.097 0.903 47 H 0.105 0.895 48 H 0.113 0.887 49 H 0.074 0.926 50 H 0.112 0.888 51 H 0.078 0.922 52 H 0.107 0.893 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges 17.069 -9.396 0.478 19.490 hybrid contribution -1.485 0.494 -0.785 1.751 sum 15.584 -8.902 -0.307 17.950 Atomic orbital electron populations 1.23297 0.81568 1.03461 1.01114 1.87938 1.19465 1.26439 1.94791 1.21785 0.94371 0.83575 0.93223 1.21294 0.81626 0.98649 0.94714 0.89352 1.22134 1.01814 0.99962 0.97848 1.46097 1.10419 1.46663 1.38675 1.15897 0.82176 0.79958 0.81298 1.90843 1.61768 1.52868 1.42656 1.47427 1.04414 1.37271 1.46361 1.21807 0.92706 0.93794 0.92863 1.21962 0.97763 0.98504 0.98111 1.18599 0.91672 0.92890 0.93619 1.21178 1.16658 0.93439 1.23745 0.92741 1.24950 0.97026 0.95018 0.96922 1.69813 1.33213 1.10143 1.39993 0.86676 0.80169 0.80623 0.80642 1.20351 1.21302 1.20284 1.22033 0.98104 0.97999 0.98160 1.21572 0.96367 0.88473 0.92838 1.22782 1.02410 1.01232 0.95617 1.22493 0.81175 0.99922 0.97420 1.87921 1.21415 1.75320 1.45527 1.22524 0.99472 0.94768 0.84486 1.22191 0.91962 1.03228 1.00145 0.93399 0.89043 0.91986 0.91530 0.92037 0.91822 0.76006 0.93257 0.91837 0.87756 0.94361 0.95419 0.92924 0.92070 0.93024 0.92428 0.90297 0.90282 0.89494 0.88712 0.92561 0.88796 0.92229 0.89340 0.89448 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 0.00 0.02 8.82 101.05 0.89 0.91 16 2 O -0.37 -3.80 8.41 -35.23 -0.30 -4.10 16 3 C 0.11 1.12 0.37 -90.43 -0.03 1.09 16 4 C 0.14 1.74 1.74 -67.93 -0.12 1.62 16 5 H 0.09 1.19 7.84 -51.93 -0.41 0.78 16 6 C -0.16 -1.85 8.78 37.15 0.33 -1.53 16 7 N -0.75 -10.50 3.34 -58.68 -0.20 -10.70 16 8 C 0.70 12.43 8.04 -86.92 -0.70 11.73 16 9 O -0.60 -12.26 14.97 5.29 0.08 -12.18 16 10 N -0.62 -11.03 2.98 -178.76 -0.53 -11.57 16 11 C 0.11 1.91 6.40 -3.93 -0.03 1.89 16 12 C -0.12 -2.64 5.14 -26.84 -0.14 -2.78 16 13 C 0.05 1.17 2.07 -91.73 -0.19 0.98 16 14 C -0.51 -13.37 8.56 -34.44 -0.29 -13.67 16 15 H 0.05 1.43 7.74 -52.48 -0.41 1.02 16 16 C 0.06 1.62 5.30 -17.82 -0.09 1.53 16 17 N -0.89 -23.84 11.30 55.43 0.63 -23.22 16 18 Si 0.89 20.52 29.54 -169.99 -5.02 15.50 16 19 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 20 H -0.29 -6.58 7.11 56.52 0.40 -6.17 16 21 H -0.28 -6.38 7.11 56.52 0.40 -5.97 16 22 C -0.12 -2.52 5.30 -26.61 -0.14 -2.66 16 23 C 0.13 2.38 6.42 -3.71 -0.02 2.36 16 24 C -0.18 -1.90 4.35 -26.60 -0.12 -2.01 16 25 C 0.07 0.65 6.69 37.20 0.25 0.90 16 26 O -0.38 -4.14 10.77 -35.23 -0.38 -4.52 16 27 C 0.06 0.56 6.69 37.21 0.25 0.80 16 28 C -0.14 -1.18 4.90 -26.59 -0.13 -1.31 16 29 H 0.05 0.45 5.52 -51.93 -0.29 0.16 16 30 H 0.09 0.75 8.14 -51.93 -0.42 0.32 16 31 H 0.06 0.67 4.99 -51.93 -0.26 0.41 16 32 H 0.07 0.93 7.43 -51.93 -0.39 0.54 16 33 H 0.06 0.71 6.52 -51.93 -0.34 0.37 16 34 H 0.06 0.61 6.82 -51.93 -0.35 0.26 16 35 H 0.40 5.06 1.53 -40.82 -0.06 5.00 16 36 H 0.05 0.71 5.58 -51.93 -0.29 0.42 16 37 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 38 H 0.10 2.45 6.03 -51.93 -0.31 2.14 16 39 H 0.04 0.83 8.14 -51.93 -0.42 0.41 16 40 H 0.03 0.70 8.14 -51.93 -0.42 0.27 16 41 H 0.26 6.72 8.31 -40.82 -0.34 6.38 16 42 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 43 H 0.05 1.08 8.14 -51.93 -0.42 0.66 16 44 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 45 H 0.08 1.45 7.03 -51.93 -0.37 1.09 16 46 H 0.08 0.85 5.23 -51.93 -0.27 0.57 16 47 H 0.09 0.96 8.14 -51.93 -0.42 0.54 16 48 H 0.09 0.84 8.14 -51.93 -0.42 0.42 16 49 H 0.06 0.54 7.82 -51.93 -0.41 0.13 16 50 H 0.09 0.64 8.14 -51.93 -0.42 0.22 16 51 H 0.06 0.52 7.82 -51.93 -0.41 0.12 16 52 H 0.09 0.74 8.14 -51.93 -0.42 0.32 16 53 H 0.09 0.67 6.89 -51.93 -0.36 0.31 16 LS Contribution 384.86 15.07 5.80 5.80 Total: -1.00 -29.48 384.86 -8.90 -38.38 By element: Atomic # 1 Polarization: 15.44 SS G_CDS: -8.69 Total: 6.74 kcal Atomic # 6 Polarization: 0.14 SS G_CDS: -0.29 Total: -0.14 kcal Atomic # 7 Polarization: -45.38 SS G_CDS: -0.10 Total: -45.48 kcal Atomic # 8 Polarization: -20.20 SS G_CDS: -0.60 Total: -20.79 kcal Atomic # 14 Polarization: 20.52 SS G_CDS: -5.02 Total: 15.50 kcal Total LS contribution 5.80 Total: 5.80 kcal Total: -29.48 -8.90 -38.38 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. ZINC001365649148.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 -67.392 kcal (2) G-P(sol) polarization free energy of solvation -29.479 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -96.871 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.902 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.381 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.773 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds