Wall clock time and date at job start Sat Apr 11 2020 06:10:11 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 1.42908 * 109.47450 * 2 1 4 4 C 1.42902 * 113.99891 * 179.97438 * 3 2 1 5 5 H 1.08991 * 115.56338 * 4.31007 * 4 3 2 6 6 C 1.53001 * 117.49408 * 218.61871 * 4 3 2 7 7 C 1.52999 * 117.49474 * 149.99600 * 4 3 2 8 8 H 1.09001 * 117.52100 * 214.96677 * 7 4 3 9 9 C 1.50703 * 117.50087 * 0.02562 * 7 4 3 10 10 O 1.21281 * 120.00125 * 0.02562 * 9 7 4 11 11 N 1.34778 * 120.00096 * 180.02562 * 9 7 4 12 12 C 1.46501 * 120.00019 * 185.07233 * 11 9 7 13 13 C 1.53001 * 109.45815 * 59.56086 * 12 11 9 14 14 C 1.53002 * 109.47254 * 54.78106 * 13 12 11 15 15 O 1.42898 * 109.46933 * 184.89398 * 14 13 12 16 16 C 1.42904 * 113.99350 * 179.97438 * 15 14 13 17 17 C 1.53035 * 109.45784 * 179.53234 * 12 11 9 18 18 C 1.53193 * 109.31269 * 58.64346 * 17 12 11 19 19 N 1.46931 * 108.77577 * 54.63561 * 18 17 12 20 20 C 1.36935 * 120.63178 * 126.36686 * 19 18 17 21 21 H 1.07997 * 120.00097 * 328.87333 * 20 19 18 22 22 C 1.38813 * 119.99544 * 148.86916 * 20 19 18 23 23 N 1.31612 * 120.00429 * 334.43462 * 22 20 19 24 24 Si 1.86806 * 119.99629 * 154.15552 * 22 20 19 25 25 H 1.48502 * 109.47140 * 90.00077 * 24 22 20 26 26 H 1.48498 * 109.47106 * 210.00172 * 24 22 20 27 27 H 1.48496 * 109.47289 * 330.00361 * 24 22 20 28 28 C 1.46933 * 118.73259 * 306.63936 * 19 18 17 29 29 C 1.52759 * 109.00641 * 53.31763 * 28 19 18 30 30 H 1.09002 * 109.46919 * 300.00426 * 1 2 3 31 31 H 1.08998 * 109.46794 * 59.99777 * 1 2 3 32 32 H 1.08996 * 109.47227 * 180.02562 * 1 2 3 33 33 H 1.09004 * 109.47276 * 239.99970 * 2 1 3 34 34 H 1.09003 * 109.47259 * 119.99671 * 2 1 3 35 35 H 1.09003 * 117.49263 * 145.02812 * 6 4 3 36 36 H 1.08994 * 117.50016 * 0.02562 * 6 4 3 37 37 H 0.97001 * 119.99817 * 5.07486 * 11 9 7 38 38 H 1.08997 * 109.46686 * 174.78291 * 13 12 11 39 39 H 1.08997 * 109.47235 * 294.78055 * 13 12 11 40 40 H 1.09003 * 109.47160 * 304.90179 * 14 13 12 41 41 H 1.09000 * 109.46994 * 64.89746 * 14 13 12 42 42 H 1.09002 * 109.46897 * 180.02562 * 16 15 14 43 43 H 1.09000 * 109.47401 * 300.00008 * 16 15 14 44 44 H 1.08999 * 109.47460 * 60.00310 * 16 15 14 45 45 H 1.08994 * 109.50229 * 298.69360 * 17 12 11 46 46 H 1.09004 * 109.49750 * 178.59389 * 17 12 11 47 47 H 1.09001 * 109.58804 * 294.84554 * 18 17 12 48 48 H 1.09004 * 109.58753 * 174.42117 * 18 17 12 49 49 H 0.96998 * 119.99979 * 353.93415 * 23 22 20 50 50 H 1.09006 * 109.57745 * 173.14302 * 28 19 18 51 51 H 1.08991 * 109.58576 * 293.56911 * 28 19 18 52 52 H 1.09003 * 109.56360 * 185.54953 * 29 28 19 53 53 H 1.08992 * 109.36627 * 65.49228 * 29 28 19 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 2.0064 1.3473 0.0000 4 6 3.4310 1.4600 0.0006 5 1 3.9772 0.5198 -0.0729 6 6 4.0511 2.5730 0.8478 7 6 4.0427 2.6873 -0.6780 8 1 4.9915 2.5548 -1.1979 9 6 3.0968 3.6850 -1.2953 10 8 1.8996 3.4988 -1.2421 11 7 3.5813 4.7841 -1.9066 12 6 2.6621 5.8085 -2.4085 13 6 1.8282 6.3572 -1.2490 14 6 2.7595 6.8564 -0.1425 15 8 1.9831 7.2633 0.9861 16 6 2.7611 7.7486 2.0821 17 6 3.4644 6.9467 -3.0430 18 6 4.3241 6.3876 -4.1809 19 7 3.4545 5.6659 -5.1200 20 6 3.4644 5.9705 -6.4550 21 1 3.6735 6.9799 -6.7770 22 6 3.2057 4.9817 -7.3943 23 7 3.4438 3.7202 -7.1045 24 14 2.5124 5.4411 -9.0670 25 1 3.6287 5.6991 -10.0117 26 1 1.6775 4.3253 -9.5801 27 1 1.6798 6.6640 -8.9389 28 6 2.5697 4.6152 -4.5982 29 6 1.7336 5.1905 -3.4565 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 5.0055 2.3648 1.3315 36 1 3.3726 3.2188 1.4049 37 1 4.5387 4.8969 -2.0142 38 1 1.2109 7.1824 -1.6041 39 1 1.1880 5.5674 -0.8562 40 1 3.4363 6.0543 0.1522 41 1 3.3385 7.7038 -0.5097 42 1 2.0986 8.0365 2.8985 43 1 3.4375 6.9647 2.4229 44 1 3.3405 8.6143 1.7614 45 1 4.1084 7.4016 -2.2903 46 1 2.7803 7.6974 -3.4389 47 1 5.0694 5.7041 -3.7740 48 1 4.8216 7.2071 -4.6998 49 1 3.8811 3.4883 -6.2703 50 1 1.9098 4.2658 -5.3924 51 1 3.1689 3.7844 -4.2261 52 1 1.1456 4.3954 -2.9980 53 1 1.0659 5.9577 -3.8485 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 ZINC001150977164.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 06:10:11 Heat of formation + Delta-G solvation = -76.737397 kcal Electronic energy + Delta-G solvation = -32464.967794 eV Core-core repulsion = 28338.677952 eV Total energy + Delta-G solvation = -4126.289842 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.25 seconds Orbital eigenvalues (eV) -40.42080 -38.77971 -37.67073 -37.08764 -35.12917 -34.57680 -31.97732 -31.40068 -30.71318 -30.24022 -28.73903 -26.50887 -24.96236 -24.15266 -22.98178 -22.87935 -22.25883 -22.13284 -20.56686 -19.91940 -18.67052 -17.74990 -17.33792 -16.44148 -16.07316 -15.78734 -15.60573 -15.51005 -15.03333 -14.62405 -14.41720 -14.16913 -13.94002 -13.83164 -13.50145 -13.25519 -13.20996 -12.85899 -12.66603 -12.61892 -12.39323 -12.35745 -12.16749 -11.71586 -11.69608 -11.49976 -11.20395 -11.09956 -11.01409 -10.93548 -10.68587 -10.62593 -10.50560 -10.38568 -10.09156 -9.99290 -9.85681 -9.60828 -9.27524 -9.18098 -8.89492 -8.53967 -8.31201 -6.81523 -6.03581 -3.22719 2.82971 3.39187 3.50712 3.51972 3.56407 3.71317 3.77899 3.88012 4.61655 4.66582 4.73802 4.88143 5.00917 5.04981 5.08899 5.15754 5.22034 5.26746 5.30966 5.31555 5.32616 5.33533 5.36810 5.41574 5.51966 5.53024 5.54604 5.60788 5.71676 5.76161 5.87557 5.90423 5.95004 6.09827 6.15402 6.17709 6.27530 6.33556 6.48304 6.59903 6.62646 6.76969 6.80125 7.05827 7.15965 7.19509 7.27289 7.30057 7.96080 8.07452 8.62288 8.71505 9.16008 9.88012 10.35071 11.23444 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009123 B = 0.004104 C = 0.003159 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3068.267503 B = 6821.077787 C = 8862.175564 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C 0.056 3.944 3 O -0.321 6.321 4 C 0.052 3.948 5 H 0.114 0.886 6 C -0.164 4.164 7 C -0.195 4.195 8 H 0.124 0.876 9 C 0.542 3.458 10 O -0.506 6.506 11 N -0.716 5.716 12 C 0.197 3.803 13 C -0.127 4.127 14 C 0.068 3.932 15 O -0.392 6.392 16 C 0.033 3.967 17 C -0.140 4.140 18 C 0.149 3.851 19 N -0.596 5.596 20 C -0.354 4.354 21 H 0.052 0.948 22 C -0.019 4.019 23 N -0.911 5.911 24 Si 1.063 2.937 25 H -0.295 1.295 26 H -0.286 1.286 27 H -0.292 1.292 28 C 0.164 3.836 29 C -0.145 4.145 30 H 0.061 0.939 31 H 0.067 0.933 32 H 0.067 0.933 33 H 0.048 0.952 34 H 0.044 0.956 35 H 0.107 0.893 36 H 0.103 0.897 37 H 0.395 0.605 38 H 0.072 0.928 39 H 0.089 0.911 40 H 0.047 0.953 41 H 0.046 0.954 42 H 0.082 0.918 43 H 0.037 0.963 44 H 0.038 0.962 45 H 0.056 0.944 46 H 0.076 0.924 47 H 0.012 0.988 48 H 0.056 0.944 49 H 0.268 0.732 50 H 0.070 0.930 51 H 0.015 0.985 52 H 0.078 0.922 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.183 -1.351 19.235 19.406 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 -0.206 4.206 2 C -0.021 4.021 3 O -0.238 6.238 4 C -0.007 4.007 5 H 0.132 0.868 6 C -0.201 4.201 7 C -0.217 4.217 8 H 0.142 0.858 9 C 0.327 3.673 10 O -0.381 6.381 11 N -0.369 5.369 12 C 0.112 3.888 13 C -0.166 4.166 14 C -0.009 4.009 15 O -0.311 6.311 16 C -0.064 4.064 17 C -0.179 4.179 18 C 0.022 3.978 19 N -0.320 5.320 20 C -0.483 4.483 21 H 0.070 0.930 22 C -0.222 4.222 23 N -0.550 5.550 24 Si 0.893 3.107 25 H -0.222 1.222 26 H -0.212 1.212 27 H -0.219 1.219 28 C 0.038 3.962 29 C -0.185 4.185 30 H 0.080 0.920 31 H 0.086 0.914 32 H 0.086 0.914 33 H 0.066 0.934 34 H 0.062 0.938 35 H 0.125 0.875 36 H 0.122 0.878 37 H 0.229 0.771 38 H 0.091 0.909 39 H 0.107 0.893 40 H 0.065 0.935 41 H 0.064 0.936 42 H 0.100 0.900 43 H 0.056 0.944 44 H 0.057 0.943 45 H 0.074 0.926 46 H 0.094 0.906 47 H 0.030 0.970 48 H 0.074 0.926 49 H 0.079 0.921 50 H 0.088 0.912 51 H 0.033 0.967 52 H 0.097 0.903 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 0.380 -1.942 17.807 17.917 hybrid contribution 1.810 0.642 1.361 2.354 sum 2.190 -1.300 19.168 19.337 Atomic orbital electron populations 1.21694 0.93610 1.01790 1.03528 1.22530 0.95914 0.84088 0.99570 1.88187 1.16856 1.25254 1.93518 1.22478 0.83736 0.92871 1.01629 0.86814 1.23387 1.02737 1.02781 0.91225 1.22807 1.01606 1.00528 0.96720 0.85798 1.19298 0.88562 0.81077 0.78321 1.90693 1.15213 1.74770 1.57395 1.46081 1.10024 1.21054 1.59696 1.20121 0.89620 0.87204 0.91896 1.21938 0.98676 1.01787 0.94154 1.22562 0.94171 0.97784 0.86339 1.87891 1.34218 1.83879 1.25156 1.22683 0.96280 0.97637 0.89773 1.22382 0.99843 0.97010 0.98676 1.20852 0.91491 0.95104 0.90312 1.44093 1.42110 1.42121 1.03700 1.19901 1.51505 0.94846 0.82044 0.93031 1.25851 0.99860 0.93749 1.02781 1.70739 1.39998 1.18140 1.26109 0.83580 0.76619 0.75085 0.75412 1.22208 1.21199 1.21855 1.20692 0.91869 0.89955 0.93709 1.22396 0.98318 1.01302 0.96457 0.92038 0.91376 0.91401 0.93371 0.93793 0.87521 0.87823 0.77058 0.90895 0.89296 0.93519 0.93610 0.89968 0.94418 0.94341 0.92560 0.90582 0.97039 0.92561 0.92098 0.91170 0.96697 0.90316 0.92037 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.63 10.28 37.16 0.38 -1.25 16 2 C 0.06 0.64 6.53 37.16 0.24 0.88 16 3 O -0.32 -4.75 8.48 -57.36 -0.49 -5.23 16 4 C 0.05 0.63 6.40 -26.73 -0.17 0.46 16 5 H 0.11 1.04 7.93 -51.93 -0.41 0.63 16 6 C -0.16 -1.70 10.18 -26.73 -0.27 -1.97 16 7 C -0.19 -2.45 6.19 -91.77 -0.57 -3.02 16 8 H 0.12 1.32 8.14 -51.93 -0.42 0.89 16 9 C 0.54 8.79 6.79 -10.98 -0.07 8.72 16 10 O -0.51 -9.90 11.22 -16.57 -0.19 -10.09 16 11 N -0.72 -10.99 3.09 -47.57 -0.15 -11.13 16 12 C 0.20 3.31 0.35 -131.78 -0.05 3.26 16 13 C -0.13 -2.03 4.32 -26.73 -0.12 -2.14 16 14 C 0.07 0.94 5.45 37.16 0.20 1.14 16 15 O -0.39 -5.68 10.70 -35.23 -0.38 -6.06 16 16 C 0.03 0.34 11.01 101.05 1.11 1.45 16 17 C -0.14 -2.29 4.75 -26.61 -0.13 -2.42 16 18 C 0.15 2.96 6.24 -3.71 -0.02 2.94 16 19 N -0.60 -14.65 2.80 -172.57 -0.48 -15.14 16 20 C -0.35 -9.84 9.43 -15.06 -0.14 -9.98 16 21 H 0.05 1.44 7.95 -52.49 -0.42 1.03 16 22 C -0.02 -0.55 4.64 -17.43 -0.08 -0.63 16 23 N -0.91 -27.46 12.57 55.49 0.70 -26.76 16 24 Si 1.06 25.48 29.99 -169.99 -5.10 20.38 16 25 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 26 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 27 H -0.29 -6.73 7.11 56.52 0.40 -6.33 16 28 C 0.16 3.92 4.50 -3.93 -0.02 3.90 16 29 C -0.14 -2.96 4.65 -26.83 -0.12 -3.08 16 30 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 31 H 0.07 0.87 8.14 -51.93 -0.42 0.44 16 32 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 33 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 34 H 0.04 0.41 8.14 -51.93 -0.42 -0.01 16 35 H 0.11 0.79 8.14 -51.93 -0.42 0.37 16 36 H 0.10 1.23 8.14 -51.93 -0.42 0.81 16 37 H 0.40 5.42 7.26 -40.82 -0.30 5.13 16 38 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 39 H 0.09 1.63 6.47 -51.93 -0.34 1.30 16 40 H 0.05 0.64 7.10 -51.93 -0.37 0.27 16 41 H 0.05 0.59 6.78 -51.93 -0.35 0.23 16 42 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 43 H 0.04 0.35 8.14 -51.93 -0.42 -0.07 16 44 H 0.04 0.35 8.14 -51.93 -0.42 -0.07 16 45 H 0.06 0.77 6.62 -51.93 -0.34 0.42 16 46 H 0.08 1.32 8.14 -51.93 -0.42 0.90 16 47 H 0.01 0.22 6.93 -51.93 -0.36 -0.13 16 48 H 0.06 1.13 7.93 -51.93 -0.41 0.72 16 49 H 0.27 8.19 6.97 -40.82 -0.28 7.91 16 50 H 0.07 1.93 6.59 -51.93 -0.34 1.59 16 51 H 0.02 0.37 7.50 -51.93 -0.39 -0.02 16 52 H 0.08 1.69 6.07 -51.93 -0.32 1.38 16 53 H 0.06 1.28 8.14 -51.93 -0.42 0.86 16 LS Contribution 407.99 15.07 6.15 6.15 Total: -1.00 -33.76 407.99 -9.10 -42.86 By element: Atomic # 1 Polarization: 16.11 SS G_CDS: -9.34 Total: 6.77 kcal Atomic # 6 Polarization: -1.92 SS G_CDS: 0.18 Total: -1.74 kcal Atomic # 7 Polarization: -53.10 SS G_CDS: 0.07 Total: -53.04 kcal Atomic # 8 Polarization: -20.33 SS G_CDS: -1.05 Total: -21.38 kcal Atomic # 14 Polarization: 25.48 SS G_CDS: -5.10 Total: 20.38 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -33.76 -9.10 -42.86 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. ZINC001150977164.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 -33.879 kcal (2) G-P(sol) polarization free energy of solvation -33.760 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -67.638 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.099 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.859 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.737 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.25 seconds