Wall clock time and date at job start Sat Apr 11 2020 06:11:44 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 1.42901 * 113.99691 * 2 1 4 4 C 1.53005 * 109.47109 * 180.02562 * 3 2 1 5 5 C 1.52996 * 109.46871 * 179.97438 * 4 3 2 6 6 C 1.50705 * 109.46675 * 179.97438 * 5 4 3 7 7 O 1.21276 * 120.00226 * 359.97438 * 6 5 4 8 8 N 1.34776 * 119.99719 * 179.97438 * 6 5 4 9 9 C 1.46507 * 120.00009 * 179.97438 * 8 6 5 10 10 C 1.52993 * 109.47092 * 179.97438 * 9 8 6 11 11 H 1.09000 * 110.32697 * 59.30224 * 10 9 8 12 12 C 1.54611 * 110.36761 * 181.53905 * 10 9 8 13 13 C 1.54158 * 103.80210 * 142.64080 * 12 10 9 14 14 C 1.53972 * 104.59481 * 0.02562 * 13 12 10 15 15 O 1.44466 * 110.37503 * 297.06062 * 10 9 8 16 16 C 1.52414 * 110.20685 * 118.51004 * 13 12 10 17 17 C 1.53292 * 109.39352 * 182.46707 * 16 13 12 18 18 N 1.46924 * 108.72427 * 306.32237 * 17 16 13 19 19 C 1.36942 * 120.56992 * 234.16719 * 18 17 16 20 20 H 1.07997 * 119.99906 * 27.88195 * 19 18 17 21 21 C 1.38808 * 119.99539 * 207.87776 * 19 18 17 22 22 N 1.31618 * 120.00731 * 17.44030 * 21 19 18 23 23 Si 1.86807 * 119.99930 * 197.43774 * 21 19 18 24 24 H 1.48500 * 109.47046 * 89.99987 * 23 21 19 25 25 H 1.48504 * 109.47063 * 210.00381 * 23 21 19 26 26 H 1.48500 * 109.46988 * 330.00287 * 23 21 19 27 27 C 1.46936 * 118.86062 * 54.13856 * 18 17 16 28 28 C 1.52412 * 110.34457 * 241.45744 * 13 12 10 29 29 H 1.08996 * 109.47294 * 300.00250 * 1 2 3 30 30 H 1.09001 * 109.47191 * 60.00360 * 1 2 3 31 31 H 1.09005 * 109.47201 * 180.02562 * 1 2 3 32 32 H 1.08991 * 109.47496 * 59.99705 * 3 2 1 33 33 H 1.09005 * 109.46920 * 299.99608 * 3 2 1 34 34 H 1.08991 * 109.47522 * 59.99305 * 4 3 2 35 35 H 1.09005 * 109.46570 * 299.99406 * 4 3 2 36 36 H 1.09000 * 109.47270 * 59.99850 * 5 4 3 37 37 H 1.09000 * 109.47318 * 299.99527 * 5 4 3 38 38 H 0.96998 * 120.00444 * 0.02562 * 8 6 5 39 39 H 1.09000 * 109.46826 * 60.00253 * 9 8 6 40 40 H 1.09000 * 109.47139 * 300.00312 * 9 8 6 41 41 H 1.09005 * 110.54651 * 261.31440 * 12 10 9 42 42 H 1.08994 * 110.54532 * 24.11346 * 12 10 9 43 43 H 1.09004 * 110.39503 * 217.46878 * 14 13 12 44 44 H 1.09008 * 110.49242 * 95.12759 * 14 13 12 45 45 H 1.09000 * 109.48554 * 302.44338 * 16 13 12 46 46 H 1.09002 * 109.48010 * 62.49164 * 16 13 12 47 47 H 1.08999 * 109.59800 * 186.55277 * 17 16 13 48 48 H 1.09006 * 109.72491 * 66.16389 * 17 16 13 49 49 H 0.97000 * 120.00731 * 179.97438 * 22 21 19 50 50 H 1.08996 * 109.59720 * 186.08103 * 27 18 17 51 51 H 1.09006 * 109.72118 * 65.69604 * 27 18 17 52 52 H 1.08992 * 109.48557 * 297.57553 * 28 13 12 53 53 H 1.09004 * 109.48133 * 57.62658 * 28 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 8 1.4290 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 6 3.5354 1.1848 -0.0006 5 6 4.1576 2.5825 -0.0013 6 6 5.6599 2.4635 -0.0013 7 8 6.1815 1.3687 -0.0004 8 7 6.4238 3.5739 -0.0023 9 6 7.8843 3.4583 -0.0018 10 6 8.5065 4.8560 -0.0038 11 1 8.1835 5.4156 0.8741 12 6 10.0490 4.7584 -0.0422 13 6 10.4693 5.9311 -0.9502 14 6 9.1441 6.6021 -1.3557 15 8 8.1485 5.5642 -1.2111 16 6 11.3411 6.9114 -0.1743 17 6 11.6970 8.0994 -1.0753 18 7 12.2923 7.5877 -2.3173 19 6 13.5168 8.0338 -2.7381 20 1 14.2414 8.3824 -2.0172 21 6 13.8264 8.0377 -4.0912 22 7 12.8658 7.9491 -4.9865 23 14 15.6068 8.1688 -4.6415 24 1 16.1877 6.8078 -4.7664 25 1 15.6691 8.8562 -5.9564 26 1 16.3787 8.9464 -3.6392 27 6 11.5516 6.5887 -3.0998 28 6 11.1970 5.4113 -2.1844 29 1 -0.3633 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 1.6885 1.8464 0.8899 33 1 1.6885 1.8464 -0.8901 34 1 3.8567 0.6440 -0.8907 35 1 3.8573 0.6438 0.8892 36 1 3.8363 3.1237 0.8887 37 1 3.8356 3.1232 -0.8913 38 1 6.0066 4.4496 -0.0027 39 1 8.2062 2.9165 -0.8911 40 1 8.2057 2.9184 0.8889 41 1 10.4650 4.8786 0.9582 42 1 10.3615 3.8084 -0.4758 43 1 9.1912 6.9414 -2.3905 44 1 8.9210 7.4380 -0.6926 45 1 10.7971 7.2685 0.7001 46 1 12.2551 6.4108 0.1452 47 1 12.4131 8.7436 -0.5651 48 1 10.7961 8.6671 -1.3087 49 1 13.0822 7.9522 -5.9321 50 1 12.1717 6.2370 -3.9242 51 1 10.6377 7.0337 -3.4936 52 1 12.1100 4.8999 -1.8796 53 1 10.5518 4.7153 -2.7206 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 ZINC001324355003.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 06:11:44 Heat of formation + Delta-G solvation = -122.823337 kcal Electronic energy + Delta-G solvation = -29943.520850 eV Core-core repulsion = 25815.232572 eV Total energy + Delta-G solvation = -4128.288278 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -40.35888 -39.69301 -38.28141 -36.82028 -34.86819 -33.95421 -33.40258 -31.39972 -30.54593 -29.92686 -28.38805 -26.89720 -26.08287 -25.09201 -24.10662 -22.40120 -22.24730 -21.53001 -20.85698 -20.20412 -18.40909 -17.53583 -16.83592 -16.71400 -16.61709 -16.36564 -15.81307 -15.49160 -15.25266 -15.19242 -14.96008 -14.68060 -14.06508 -13.81789 -13.73431 -13.47706 -13.37334 -13.02464 -12.91795 -12.52627 -12.44852 -12.26146 -12.14575 -12.10406 -11.93200 -11.43671 -11.41671 -11.29502 -11.27243 -11.10369 -10.95655 -10.74966 -10.46671 -10.24985 -10.19519 -10.08172 -10.02377 -9.88846 -9.58708 -9.45824 -9.39318 -9.22519 -8.46974 -6.68812 -5.80673 -3.23142 2.47488 2.87268 3.36764 3.43982 3.44692 3.44777 3.93303 4.42965 4.48058 4.56588 4.60526 4.69713 4.82819 4.88216 4.89544 4.96159 5.00385 5.01163 5.07599 5.14711 5.20291 5.21657 5.27840 5.36709 5.37783 5.52228 5.62269 5.65900 5.72868 5.75182 5.86263 5.91384 5.98509 5.99137 6.09500 6.18179 6.24334 6.28380 6.45423 6.58081 6.60384 6.69245 6.74855 6.80442 6.92209 7.01948 7.32311 7.34180 7.64622 7.78047 8.05469 8.43342 9.19494 9.82994 10.39128 11.27556 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.028588 B = 0.001686 C = 0.001653 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 979.192430 B =16602.458346 C =16930.190618 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.392 6.392 3 C 0.061 3.939 4 C -0.104 4.104 5 C -0.138 4.138 6 C 0.512 3.488 7 O -0.542 6.542 8 N -0.724 5.724 9 C 0.127 3.873 10 C 0.063 3.937 11 H 0.070 0.930 12 C -0.140 4.140 13 C -0.075 4.075 14 C 0.054 3.946 15 O -0.373 6.373 16 C -0.120 4.120 17 C 0.144 3.856 18 N -0.591 5.591 19 C -0.254 4.254 20 H 0.065 0.935 21 C 0.003 3.997 22 N -0.902 5.902 23 Si 0.901 3.099 24 H -0.287 1.287 25 H -0.291 1.291 26 H -0.279 1.279 27 C 0.169 3.831 28 C -0.126 4.126 29 H 0.041 0.959 30 H 0.041 0.959 31 H 0.086 0.914 32 H 0.049 0.951 33 H 0.050 0.950 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.095 0.905 37 H 0.097 0.903 38 H 0.404 0.596 39 H 0.076 0.924 40 H 0.079 0.921 41 H 0.076 0.924 42 H 0.077 0.923 43 H 0.102 0.898 44 H 0.056 0.944 45 H 0.050 0.950 46 H 0.061 0.939 47 H 0.053 0.947 48 H 0.017 0.983 49 H 0.254 0.746 50 H 0.088 0.912 51 H 0.020 0.980 52 H 0.056 0.944 53 H 0.052 0.948 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.756 -8.753 12.777 25.898 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 -0.065 4.065 2 O -0.310 6.310 3 C -0.016 4.016 4 C -0.142 4.142 5 C -0.178 4.178 6 C 0.298 3.702 7 O -0.419 6.419 8 N -0.376 5.376 9 C 0.004 3.996 10 C 0.004 3.996 11 H 0.087 0.913 12 C -0.178 4.178 13 C -0.076 4.076 14 C -0.022 4.022 15 O -0.292 6.292 16 C -0.159 4.159 17 C 0.017 3.983 18 N -0.314 5.314 19 C -0.383 4.383 20 H 0.083 0.917 21 C -0.195 4.195 22 N -0.546 5.546 23 Si 0.732 3.268 24 H -0.215 1.215 25 H -0.218 1.218 26 H -0.205 1.205 27 C 0.043 3.957 28 C -0.165 4.165 29 H 0.059 0.941 30 H 0.060 0.940 31 H 0.104 0.896 32 H 0.068 0.932 33 H 0.068 0.932 34 H 0.098 0.902 35 H 0.097 0.903 36 H 0.113 0.887 37 H 0.115 0.885 38 H 0.239 0.761 39 H 0.095 0.905 40 H 0.097 0.903 41 H 0.095 0.905 42 H 0.096 0.904 43 H 0.120 0.880 44 H 0.074 0.926 45 H 0.069 0.931 46 H 0.080 0.920 47 H 0.072 0.928 48 H 0.035 0.965 49 H 0.064 0.936 50 H 0.106 0.894 51 H 0.038 0.962 52 H 0.075 0.925 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges -20.406 -9.726 12.445 25.804 hybrid contribution 0.686 0.901 -0.230 1.156 sum -19.720 -8.825 12.214 24.818 Atomic orbital electron populations 1.22749 0.80956 1.02848 0.99968 1.87894 1.19738 1.28004 1.95413 1.22559 0.94092 0.84738 1.00208 1.21219 0.92113 0.95842 1.05067 1.21539 0.92096 0.99418 1.04725 1.20573 0.89468 0.84207 0.75948 1.90724 1.75156 1.26624 1.49384 1.45944 1.07091 1.09211 1.75371 1.21487 0.79275 0.95834 1.03028 1.23193 0.94980 0.92083 0.89303 0.91254 1.23071 0.93663 1.00261 1.00828 1.21375 0.95604 0.94353 0.96251 1.23647 0.85872 0.89535 1.03098 1.89124 1.50719 1.47015 1.42360 1.22008 0.98692 0.97867 0.97338 1.20932 0.96242 0.92853 0.88274 1.44037 1.19440 1.44774 1.23100 1.19196 0.89943 1.38695 0.90504 0.91714 1.25024 0.97405 1.00870 0.96248 1.70025 1.30233 1.53975 1.00408 0.86304 0.84967 0.77718 0.77856 1.21455 1.21772 1.20460 1.20855 0.95297 0.86558 0.92959 1.22129 0.98636 0.99970 0.95812 0.94083 0.94018 0.89580 0.93243 0.93156 0.90183 0.90277 0.88714 0.88515 0.76118 0.90537 0.90330 0.90528 0.90415 0.88006 0.92622 0.93127 0.91979 0.92802 0.96480 0.93610 0.89379 0.96238 0.92476 0.92935 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 0.03 0.18 11.01 101.05 1.11 1.29 16 2 O -0.39 -3.60 10.70 -35.23 -0.38 -3.98 16 3 C 0.06 0.43 5.94 37.16 0.22 0.65 16 4 C -0.10 -0.88 4.87 -26.73 -0.13 -1.02 16 5 C -0.14 -0.96 5.70 -27.88 -0.16 -1.12 16 6 C 0.51 5.55 7.83 -10.98 -0.09 5.46 16 7 O -0.54 -8.15 15.98 5.56 0.09 -8.06 16 8 N -0.72 -7.13 5.50 -60.29 -0.33 -7.46 16 9 C 0.13 1.42 5.30 -4.04 -0.02 1.40 16 10 C 0.06 0.72 3.35 -25.89 -0.09 0.63 16 11 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 12 C -0.14 -1.76 5.91 -25.28 -0.15 -1.91 16 13 C -0.08 -1.17 0.69 -154.00 -0.11 -1.27 16 14 C 0.05 0.83 5.63 37.66 0.21 1.04 16 15 O -0.37 -5.29 11.27 -35.23 -0.40 -5.69 16 16 C -0.12 -1.92 4.55 -26.88 -0.12 -2.04 16 17 C 0.14 2.85 6.22 -3.66 -0.02 2.83 16 18 N -0.59 -14.28 2.98 -172.19 -0.51 -14.79 16 19 C -0.25 -6.83 9.58 -15.06 -0.14 -6.98 16 20 H 0.07 1.72 7.89 -52.49 -0.41 1.31 16 21 C 0.00 0.09 4.90 -17.43 -0.09 0.00 16 22 N -0.90 -25.84 11.19 55.49 0.62 -25.22 16 23 Si 0.90 21.50 29.59 -169.99 -5.03 16.47 16 24 H -0.29 -6.87 7.11 56.52 0.40 -6.46 16 25 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 26 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 27 C 0.17 3.90 5.01 -3.65 -0.02 3.88 16 28 C -0.13 -2.34 4.70 -26.88 -0.13 -2.47 16 29 H 0.04 0.19 8.14 -51.93 -0.42 -0.23 16 30 H 0.04 0.20 8.14 -51.93 -0.42 -0.22 16 31 H 0.09 0.40 8.14 -51.93 -0.42 -0.02 16 32 H 0.05 0.28 8.14 -51.93 -0.42 -0.15 16 33 H 0.05 0.30 8.14 -51.93 -0.42 -0.13 16 34 H 0.08 0.81 8.10 -51.93 -0.42 0.39 16 35 H 0.08 0.77 8.10 -51.93 -0.42 0.35 16 36 H 0.09 0.44 8.14 -51.93 -0.42 0.02 16 37 H 0.10 0.52 8.14 -51.93 -0.42 0.10 16 38 H 0.40 3.15 8.45 -40.82 -0.35 2.81 16 39 H 0.08 1.00 8.14 -51.93 -0.42 0.58 16 40 H 0.08 0.84 8.14 -51.93 -0.42 0.41 16 41 H 0.08 0.86 7.72 -51.93 -0.40 0.46 16 42 H 0.08 0.99 7.45 -51.93 -0.39 0.61 16 43 H 0.10 1.78 5.99 -51.93 -0.31 1.46 16 44 H 0.06 0.79 7.71 -51.92 -0.40 0.39 16 45 H 0.05 0.69 8.12 -51.93 -0.42 0.26 16 46 H 0.06 1.04 8.14 -51.93 -0.42 0.61 16 47 H 0.05 1.06 7.93 -51.93 -0.41 0.65 16 48 H 0.02 0.34 7.46 -51.93 -0.39 -0.05 16 49 H 0.25 7.06 8.31 -40.82 -0.34 6.72 16 50 H 0.09 2.32 6.02 -51.93 -0.31 2.01 16 51 H 0.02 0.47 6.44 -51.93 -0.33 0.14 16 52 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 53 H 0.05 0.93 8.14 -51.93 -0.42 0.51 16 LS Contribution 411.27 15.07 6.20 6.20 Total: -1.00 -32.37 411.27 -9.05 -41.42 By element: Atomic # 1 Polarization: 10.32 SS G_CDS: -9.60 Total: 0.72 kcal Atomic # 6 Polarization: 0.09 SS G_CDS: 0.29 Total: 0.38 kcal Atomic # 7 Polarization: -47.25 SS G_CDS: -0.22 Total: -47.47 kcal Atomic # 8 Polarization: -17.05 SS G_CDS: -0.69 Total: -17.73 kcal Atomic # 14 Polarization: 21.50 SS G_CDS: -5.03 Total: 16.47 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -32.37 -9.05 -41.42 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. ZINC001324355003.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 -81.400 kcal (2) G-P(sol) polarization free energy of solvation -32.371 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.771 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.052 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.423 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.823 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.05 seconds