Wall clock time and date at job start Sat Apr 11 2020 06:11:29 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 1.53002 * 1 3 3 O 1.42904 * 109.46714 * 2 1 4 4 C 1.42900 * 113.99754 * 184.39177 * 3 2 1 5 5 H 1.08999 * 109.47237 * 15.37864 * 4 3 2 6 6 C 1.50701 * 109.47045 * 135.37305 * 4 3 2 7 7 O 1.21290 * 119.99768 * 5.80754 * 6 4 3 8 8 N 1.34775 * 120.00168 * 185.80049 * 6 4 3 9 9 C 1.46497 * 119.99809 * 184.84241 * 8 6 4 10 10 C 1.53005 * 109.46932 * 180.02562 * 9 8 6 11 11 H 1.08994 * 112.85274 * 45.32835 * 10 9 8 12 12 C 1.53776 * 113.61264 * 176.52987 * 10 9 8 13 13 C 1.53785 * 87.08288 * 139.97731 * 12 10 9 14 14 H 1.09001 * 113.61263 * 89.19278 * 13 12 10 15 15 N 1.46494 * 113.61672 * 220.01973 * 13 12 10 16 16 C 1.36946 * 119.99711 * 205.00020 * 15 13 12 17 17 H 1.07997 * 120.00066 * 359.97438 * 16 15 13 18 18 C 1.38814 * 119.99639 * 179.97438 * 16 15 13 19 19 N 1.31613 * 120.00187 * 0.02562 * 18 16 15 20 20 Si 1.86803 * 119.99810 * 179.97438 * 18 16 15 21 21 H 1.48504 * 109.46770 * 60.00124 * 20 18 16 22 22 H 1.48500 * 109.46864 * 180.02562 * 20 18 16 23 23 H 1.48498 * 109.46911 * 300.00533 * 20 18 16 24 24 C 1.53788 * 113.61085 * 274.13545 * 10 9 8 25 25 C 1.52998 * 109.47355 * 255.37211 * 4 3 2 26 26 C 1.53186 * 109.54221 * 64.90361 * 25 4 3 27 27 C 1.53089 * 109.16224 * 183.15025 * 26 25 4 28 28 O 1.42904 * 109.41469 * 57.61218 * 27 26 25 29 29 C 1.42904 * 114.09703 * 298.83851 * 28 27 26 30 30 C 1.53093 * 109.41307 * 61.15921 * 29 28 27 31 31 H 1.09000 * 109.47388 * 299.99394 * 1 2 3 32 32 H 1.08996 * 109.47169 * 59.99652 * 1 2 3 33 33 H 1.09002 * 109.46968 * 179.97438 * 1 2 3 34 34 H 1.08999 * 109.46891 * 240.00785 * 2 1 3 35 35 H 1.08996 * 109.47169 * 120.00348 * 2 1 3 36 36 H 0.96996 * 119.99792 * 4.85173 * 8 6 4 37 37 H 1.08999 * 109.47348 * 300.00117 * 9 8 6 38 38 H 1.08997 * 109.47337 * 60.00136 * 9 8 6 39 39 H 1.08997 * 113.61774 * 254.52601 * 12 10 9 40 40 H 1.08999 * 113.61883 * 25.42912 * 12 10 9 41 41 H 0.96992 * 120.00089 * 24.99297 * 15 13 12 42 42 H 0.96999 * 120.00264 * 179.97438 * 19 18 16 43 43 H 1.09002 * 113.61300 * 334.56729 * 24 10 9 44 44 H 1.08996 * 113.60783 * 105.47103 * 24 10 9 45 45 H 1.08995 * 109.54654 * 185.17276 * 25 4 3 46 46 H 1.08992 * 109.52411 * 303.06293 * 26 25 4 47 47 H 1.09005 * 109.51823 * 63.25068 * 26 25 4 48 48 H 1.09004 * 109.48695 * 297.62878 * 27 26 25 49 49 H 1.08997 * 109.48000 * 177.59165 * 27 26 25 50 50 H 1.08994 * 109.47901 * 301.17566 * 29 28 27 51 51 H 1.08995 * 109.48843 * 181.14573 * 29 28 27 52 52 H 1.08996 * 109.52309 * 182.48360 * 30 29 28 53 53 H 1.08996 * 109.52434 * 62.29634 * 30 29 28 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 3.4272 1.4615 -0.1000 5 1 3.8460 0.5101 -0.4280 6 6 3.7759 2.5347 -1.0988 7 8 2.8992 3.2136 -1.5903 8 7 5.0619 2.7403 -1.4458 9 6 5.4122 3.8511 -2.3343 10 6 6.9243 3.8599 -2.5679 11 1 7.3251 2.8695 -2.7831 12 6 7.3882 4.9408 -3.5584 13 6 8.5897 5.1684 -2.6259 14 1 9.4475 4.5368 -2.8570 15 7 8.9489 6.5795 -2.4652 16 6 10.2288 6.9254 -2.1221 17 1 10.9731 6.1579 -1.9696 18 6 10.5693 8.2625 -1.9704 19 7 9.6620 9.1978 -2.1557 20 14 12.3149 8.7344 -1.5017 21 1 13.2565 8.2397 -2.5380 22 1 12.4185 10.2125 -1.4029 23 1 12.6571 8.1259 -0.1910 24 6 7.7101 4.6211 -1.4870 25 6 4.0068 1.8296 1.2673 26 6 3.7594 0.6842 2.2539 27 6 4.2720 1.0930 3.6373 28 8 3.6171 2.2940 4.0507 29 6 3.8512 3.4117 3.1915 30 6 3.3217 3.0960 1.7902 31 1 -0.3634 0.5137 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 -0.3633 -1.0277 -0.0005 34 1 1.8933 -0.5137 -0.8901 35 1 1.8933 -0.5139 0.8899 36 1 5.7553 2.1526 -1.1074 37 1 4.8983 3.7297 -3.2879 38 1 5.1095 4.7925 -1.8758 39 1 7.6634 4.5473 -4.5369 40 1 6.7146 5.7956 -3.6191 41 1 8.2803 7.2687 -2.6019 42 1 9.8998 10.1321 -2.0493 43 1 7.1245 5.3882 -0.9804 44 1 8.2446 3.9695 -0.7958 45 1 5.0781 2.0069 1.1735 46 1 2.6912 0.4747 2.3085 47 1 4.2896 -0.2069 1.9178 48 1 5.3477 1.2631 3.5908 49 1 4.0600 0.2987 4.3529 50 1 4.9213 3.6120 3.1392 51 1 3.3362 4.2876 3.5858 52 1 3.5388 3.9296 1.1224 53 1 2.2446 2.9352 1.8354 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 ZINC001656147527.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 06:11:29 Heat of formation + Delta-G solvation = -111.651995 kcal Electronic energy + Delta-G solvation = -30658.760941 eV Core-core repulsion = 26530.957089 eV Total energy + Delta-G solvation = -4127.803852 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.71754 -39.28970 -38.55064 -37.74716 -34.80236 -34.34525 -33.26830 -31.64245 -31.28798 -30.37220 -28.79563 -26.76543 -25.12785 -24.31111 -23.98124 -23.54646 -22.92887 -21.09912 -20.78815 -20.29015 -19.08550 -17.52081 -17.21813 -17.03787 -16.81327 -16.21482 -15.99349 -15.66472 -15.17047 -15.10744 -14.95953 -14.68824 -14.48467 -14.16716 -14.06084 -13.63050 -13.41201 -13.15903 -12.96556 -12.74787 -12.60725 -12.52643 -12.07584 -11.94491 -11.86990 -11.77755 -11.53159 -11.42445 -11.32904 -11.25337 -11.04465 -10.84454 -10.58163 -10.55270 -10.30929 -10.22891 -10.15797 -9.89431 -9.85997 -9.57102 -9.34215 -9.06575 -8.88667 -6.98838 -5.80217 -3.09344 2.47271 2.73939 3.41353 3.45857 3.47151 3.58236 3.62254 4.18938 4.24996 4.43085 4.56183 4.60873 4.62971 4.72401 4.75086 4.90830 4.93540 4.94618 4.99172 5.02677 5.09488 5.19050 5.19827 5.25387 5.34546 5.37018 5.41629 5.44148 5.47023 5.56808 5.58646 5.72459 5.78964 5.79508 5.82132 5.85909 5.90546 6.06475 6.11499 6.22033 6.28178 6.32331 6.40672 6.55133 6.75692 6.79564 6.93461 7.07888 7.41015 7.66195 8.13578 8.38257 9.49193 10.07385 10.41470 11.42009 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013934 B = 0.002293 C = 0.002073 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2009.038734 B =12208.861473 C =13502.262275 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.051 3.949 3 O -0.349 6.349 4 C 0.080 3.920 5 H 0.086 0.914 6 C 0.506 3.494 7 O -0.519 6.519 8 N -0.724 5.724 9 C 0.133 3.867 10 C -0.127 4.127 11 H 0.088 0.912 12 C -0.142 4.142 13 C 0.166 3.834 14 H 0.075 0.925 15 N -0.712 5.712 16 C -0.246 4.246 17 H 0.070 0.930 18 C -0.013 4.013 19 N -0.932 5.932 20 Si 0.907 3.093 21 H -0.286 1.286 22 H -0.291 1.291 23 H -0.286 1.286 24 C -0.161 4.161 25 C -0.099 4.099 26 C -0.153 4.153 27 C 0.062 3.938 28 O -0.383 6.383 29 C 0.060 3.940 30 C -0.145 4.145 31 H 0.064 0.936 32 H 0.065 0.935 33 H 0.070 0.930 34 H 0.048 0.952 35 H 0.052 0.948 36 H 0.398 0.602 37 H 0.064 0.936 38 H 0.069 0.931 39 H 0.061 0.939 40 H 0.080 0.920 41 H 0.385 0.615 42 H 0.257 0.743 43 H 0.078 0.922 44 H 0.053 0.947 45 H 0.086 0.914 46 H 0.079 0.921 47 H 0.072 0.928 48 H 0.051 0.949 49 H 0.093 0.907 50 H 0.052 0.948 51 H 0.096 0.904 52 H 0.074 0.926 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.634 -23.191 7.404 28.405 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 -0.208 4.208 2 C -0.025 4.025 3 O -0.266 6.266 4 C 0.019 3.981 5 H 0.103 0.897 6 C 0.291 3.709 7 O -0.394 6.394 8 N -0.377 5.377 9 C 0.011 3.989 10 C -0.146 4.146 11 H 0.106 0.894 12 C -0.182 4.182 13 C 0.054 3.946 14 H 0.093 0.907 15 N -0.350 5.350 16 C -0.377 4.377 17 H 0.088 0.912 18 C -0.209 4.209 19 N -0.580 5.580 20 Si 0.738 3.262 21 H -0.212 1.212 22 H -0.217 1.217 23 H -0.212 1.212 24 C -0.202 4.202 25 C -0.118 4.118 26 C -0.191 4.191 27 C -0.015 4.015 28 O -0.302 6.302 29 C -0.016 4.016 30 C -0.183 4.183 31 H 0.083 0.917 32 H 0.084 0.916 33 H 0.089 0.911 34 H 0.066 0.934 35 H 0.070 0.930 36 H 0.232 0.768 37 H 0.083 0.917 38 H 0.088 0.912 39 H 0.080 0.920 40 H 0.099 0.901 41 H 0.219 0.781 42 H 0.066 0.934 43 H 0.096 0.904 44 H 0.072 0.928 45 H 0.104 0.896 46 H 0.098 0.902 47 H 0.091 0.909 48 H 0.070 0.930 49 H 0.111 0.889 50 H 0.070 0.930 51 H 0.114 0.886 52 H 0.093 0.907 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -15.329 -22.428 7.261 28.119 hybrid contribution 1.431 -0.042 0.033 1.432 sum -13.898 -22.470 7.294 27.409 Atomic orbital electron populations 1.21726 0.93421 1.02168 1.03502 1.22719 0.96097 0.83712 1.00021 1.88063 1.18412 1.26098 1.94073 1.21942 0.84106 0.97905 0.94195 0.89667 1.20527 0.82874 0.85154 0.82391 1.90733 1.47402 1.47706 1.53562 1.46010 1.07764 1.33152 1.50818 1.21441 0.95185 0.88986 0.93332 1.22639 0.92618 0.99018 1.00352 0.89425 1.23446 0.99778 0.97467 0.97521 1.21542 0.93061 0.87676 0.92324 0.90715 1.42403 1.10335 1.00567 1.81711 1.19249 0.87639 0.91433 1.39368 0.91173 1.24774 0.97835 0.95790 1.02478 1.69645 1.32802 0.99703 1.55801 0.86268 0.84350 0.77239 0.78319 1.21229 1.21664 1.21247 1.23975 0.99460 0.98997 0.97747 1.21613 1.00274 0.96730 0.93219 1.22331 1.03138 0.97755 0.95828 1.22533 0.96167 0.87603 0.95192 1.87937 1.73001 1.18837 1.50379 1.22624 1.00129 0.89005 0.89871 1.22123 1.02239 0.97037 0.96883 0.91687 0.91628 0.91106 0.93407 0.92952 0.76771 0.91727 0.91226 0.91993 0.90093 0.78055 0.93363 0.90363 0.92828 0.89605 0.90196 0.90890 0.93046 0.88887 0.92979 0.88634 0.90720 0.89751 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.06 10.28 37.16 0.38 -0.67 16 2 C 0.05 0.39 6.07 37.16 0.23 0.61 16 3 O -0.35 -3.80 8.27 -55.07 -0.46 -4.26 16 4 C 0.08 0.75 2.36 -27.88 -0.07 0.68 16 5 H 0.09 0.57 7.60 -51.93 -0.39 0.18 16 6 C 0.51 6.30 6.23 -10.99 -0.07 6.23 16 7 O -0.52 -8.89 16.52 -14.29 -0.24 -9.13 16 8 N -0.72 -7.69 5.46 -60.29 -0.33 -8.02 16 9 C 0.13 1.69 5.50 -4.04 -0.02 1.67 16 10 C -0.13 -1.61 3.75 -89.80 -0.34 -1.95 16 11 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 12 C -0.14 -2.20 7.40 -25.92 -0.19 -2.40 16 13 C 0.17 3.12 4.48 -67.03 -0.30 2.82 16 14 H 0.07 1.39 8.10 -51.93 -0.42 0.97 16 15 N -0.71 -17.51 5.40 -52.55 -0.28 -17.80 16 16 C -0.25 -6.72 9.97 -15.05 -0.15 -6.87 16 17 H 0.07 1.85 7.83 -52.49 -0.41 1.43 16 18 C -0.01 -0.36 5.50 -17.43 -0.10 -0.45 16 19 N -0.93 -27.98 13.06 55.49 0.72 -27.26 16 20 Si 0.91 22.14 29.55 -169.99 -5.02 17.11 16 21 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 22 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 23 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 24 C -0.16 -2.53 7.45 -25.82 -0.19 -2.72 16 25 C -0.10 -0.83 2.09 -90.43 -0.19 -1.02 16 26 C -0.15 -1.03 4.82 -26.59 -0.13 -1.16 16 27 C 0.06 0.46 6.84 37.20 0.25 0.72 16 28 O -0.38 -4.00 10.77 -35.23 -0.38 -4.38 16 29 C 0.06 0.59 6.84 37.21 0.25 0.84 16 30 C -0.15 -1.50 5.03 -26.59 -0.13 -1.63 16 31 H 0.06 0.48 8.14 -51.93 -0.42 0.05 16 32 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 33 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 34 H 0.05 0.32 8.05 -51.93 -0.42 -0.09 16 35 H 0.05 0.31 6.23 -51.93 -0.32 -0.01 16 36 H 0.40 3.13 8.42 -40.82 -0.34 2.79 16 37 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 38 H 0.07 1.02 7.88 -51.93 -0.41 0.61 16 39 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 40 H 0.08 1.33 8.08 -51.93 -0.42 0.91 16 41 H 0.39 10.13 7.92 -40.82 -0.32 9.81 16 42 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 43 H 0.08 1.37 7.92 -51.93 -0.41 0.96 16 44 H 0.05 0.79 8.14 -51.93 -0.42 0.37 16 45 H 0.09 0.64 8.01 -51.93 -0.42 0.23 16 46 H 0.08 0.60 6.16 -51.93 -0.32 0.28 16 47 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 48 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 49 H 0.09 0.56 8.14 -51.93 -0.42 0.14 16 50 H 0.05 0.49 8.14 -51.93 -0.42 0.06 16 51 H 0.10 0.88 8.14 -51.93 -0.42 0.45 16 52 H 0.07 0.89 7.51 -51.93 -0.39 0.50 16 53 H 0.08 0.99 7.46 -51.93 -0.39 0.60 16 LS Contribution 418.12 15.07 6.30 6.30 Total: -1.00 -33.63 418.12 -10.04 -43.67 By element: Atomic # 1 Polarization: 18.64 SS G_CDS: -9.60 Total: 9.04 kcal Atomic # 6 Polarization: -4.53 SS G_CDS: -0.76 Total: -5.29 kcal Atomic # 7 Polarization: -53.18 SS G_CDS: 0.11 Total: -53.07 kcal Atomic # 8 Polarization: -16.69 SS G_CDS: -1.07 Total: -17.76 kcal Atomic # 14 Polarization: 22.14 SS G_CDS: -5.02 Total: 17.11 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -33.63 -10.04 -43.67 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. ZINC001656147527.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 -67.983 kcal (2) G-P(sol) polarization free energy of solvation -33.634 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.617 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.035 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.669 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.652 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds