Wall clock time and date at job start Tue Mar 31 2020 21:01:42 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 H 1.08997 * 109.48165 * 2 1 4 4 C 1.53087 * 109.48224 * 120.02734 * 2 1 3 5 5 C 1.53175 * 109.16595 * 177.58814 * 4 2 1 6 6 H 1.08997 * 109.54482 * 183.14743 * 5 4 2 7 7 C 1.50702 * 109.53960 * 62.88350 * 5 4 2 8 8 O 1.21276 * 120.00633 * 0.02562 * 7 5 4 9 9 N 1.34776 * 119.99589 * 180.02562 * 7 5 4 10 10 C 1.46502 * 120.00063 * 179.97438 * 9 7 5 11 11 C 1.53000 * 115.55195 * 179.97438 * 10 9 7 12 12 C 1.53045 * 109.45642 * 85.61326 * 11 10 9 13 13 C 1.53196 * 109.30907 * 178.59966 * 12 11 10 14 14 N 1.46926 * 108.76320 * 54.65603 * 13 12 11 15 15 C 1.36936 * 120.63190 * 126.40262 * 14 13 12 16 16 H 1.08001 * 120.00257 * 331.82568 * 15 14 13 17 17 C 1.38816 * 120.00235 * 151.81789 * 15 14 13 18 18 N 1.31620 * 120.00079 * 343.08363 * 17 15 14 19 19 Si 1.86798 * 119.99910 * 163.07218 * 17 15 14 20 20 H 1.48506 * 109.46832 * 90.00984 * 19 17 15 21 21 H 1.48501 * 109.47212 * 210.00080 * 19 17 15 22 22 H 1.48495 * 109.47633 * 330.00941 * 19 17 15 23 23 C 1.46927 * 118.74006 * 306.37920 * 14 13 12 24 24 C 1.53037 * 109.46099 * 325.55567 * 11 10 9 25 25 C 1.53003 * 117.49675 * 34.32926 * 10 9 7 26 26 C 1.53000 * 117.49501 * 325.67290 * 10 9 7 27 27 C 1.53173 * 109.03541 * 303.02106 * 5 4 2 28 28 C 1.53090 * 109.16763 * 56.97427 * 27 5 4 29 29 O 1.42900 * 109.41713 * 302.39645 * 28 27 5 30 30 H 1.09002 * 109.47108 * 299.97920 * 1 2 3 31 31 H 1.08999 * 109.47510 * 59.97153 * 1 2 3 32 32 H 1.09000 * 109.47242 * 179.97438 * 1 2 3 33 33 H 1.09002 * 109.52385 * 57.67668 * 4 2 1 34 34 H 1.09004 * 109.57151 * 297.52936 * 4 2 1 35 35 H 0.97002 * 120.00375 * 359.97438 * 9 7 5 36 36 H 1.09001 * 109.45870 * 205.58378 * 11 10 9 37 37 H 1.08999 * 109.49546 * 298.56267 * 12 11 10 38 38 H 1.08998 * 109.49809 * 58.66030 * 12 11 10 39 39 H 1.08998 * 109.59896 * 294.86540 * 13 12 11 40 40 H 1.09001 * 109.69894 * 174.50461 * 13 12 11 41 41 H 0.96992 * 120.00338 * 179.97438 * 18 17 15 42 42 H 1.08997 * 109.58881 * 293.82289 * 23 14 13 43 43 H 1.08998 * 109.70331 * 173.46739 * 23 14 13 44 44 H 1.08997 * 109.50069 * 301.34003 * 24 11 10 45 45 H 1.09008 * 109.49364 * 61.43402 * 24 11 10 46 46 H 1.08997 * 117.49754 * 359.97438 * 25 10 9 47 47 H 1.09003 * 117.49854 * 145.02334 * 25 10 9 48 48 H 1.09008 * 117.49588 * 214.97546 * 26 10 9 49 49 H 1.08993 * 117.50126 * 359.97016 * 26 10 9 50 50 H 1.08995 * 109.52534 * 176.88644 * 27 5 4 51 51 H 1.09010 * 109.51848 * 297.07259 * 27 5 4 52 52 H 1.08999 * 109.48288 * 182.40856 * 28 27 5 53 53 H 1.09005 * 109.47766 * 62.37513 * 28 27 5 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 1 1.8935 1.0276 0.0000 4 6 2.0406 -0.7222 1.2495 5 6 3.5711 -0.7709 1.2121 6 1 3.9392 -1.3326 2.0706 7 6 4.1211 0.6316 1.2516 8 8 3.3651 1.5783 1.3049 9 7 5.4534 0.8338 1.2276 10 6 5.9882 2.1972 1.2654 11 6 7.5138 2.3087 1.2341 12 6 7.9968 2.2888 -0.2180 13 6 9.5214 2.4359 -0.2469 14 7 10.1131 1.3911 0.6000 15 6 11.0753 0.5527 0.1038 16 1 11.0987 0.3216 -0.9509 17 6 12.0209 -0.0003 0.9565 18 7 12.2126 0.5176 2.1512 19 14 13.0212 -1.4796 0.4083 20 1 14.2617 -1.0167 -0.2640 21 1 13.3774 -2.3024 1.5921 22 1 12.2198 -2.2957 -0.5388 23 6 9.6530 1.2634 1.9895 24 6 8.1269 1.1299 1.9934 25 6 5.2211 3.2344 2.0880 26 6 5.1849 3.2909 0.5587 27 6 4.0176 -1.4601 -0.0809 28 6 3.4306 -0.7095 -1.2791 29 8 2.0065 -0.6743 -1.1664 30 1 -0.3633 0.5135 0.8902 31 1 -0.3634 0.5143 -0.8897 32 1 -0.3634 -1.0277 -0.0005 33 1 1.6442 -1.7374 1.2710 34 1 1.7148 -0.1852 2.1404 35 1 6.0583 0.0766 1.1853 36 1 7.8194 3.2428 1.7057 37 1 7.7133 1.3445 -0.6827 38 1 7.5414 3.1149 -0.7642 39 1 9.8013 3.4177 0.1348 40 1 9.8819 2.3250 -1.2695 41 1 12.8731 0.1311 2.7471 42 1 9.9437 2.1496 2.5536 43 1 10.0984 0.3786 2.4442 44 1 7.7642 1.1309 3.0212 45 1 7.8421 0.1966 1.5075 46 1 4.3183 2.9024 2.6007 47 1 5.8032 3.9965 2.6061 48 1 5.7433 4.0902 0.0714 49 1 4.2589 2.9960 0.0654 50 1 5.1057 -1.4499 -0.1422 51 1 3.6611 -2.4903 -0.0863 52 1 3.7098 -1.2206 -2.2005 53 1 3.8192 0.3088 -1.2959 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001000305799.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:01:42 Heat of formation + Delta-G solvation = -45.133658 kcal Electronic energy + Delta-G solvation = -31445.694775 eV Core-core repulsion = 27511.231425 eV Total energy + Delta-G solvation = -3934.463349 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.32 seconds Orbital eigenvalues (eV) -41.09643 -39.30393 -37.74810 -36.00421 -34.19048 -33.13137 -32.75823 -32.27633 -30.47708 -29.67639 -28.08709 -25.72665 -24.93658 -23.24072 -22.77939 -22.51650 -21.81616 -21.62026 -19.95450 -19.69197 -18.88224 -17.20440 -16.79341 -16.44249 -16.30708 -15.57088 -15.26509 -14.98858 -14.75292 -14.37025 -14.11222 -13.98887 -13.69790 -13.53536 -13.43970 -13.05994 -12.88912 -12.76412 -12.61431 -12.56429 -12.33927 -12.15150 -12.08371 -11.54471 -11.32672 -11.22147 -11.13490 -11.07808 -10.87487 -10.77176 -10.73411 -10.56328 -10.41603 -10.29598 -10.15115 -9.92552 -9.79722 -9.58673 -9.42230 -9.21387 -8.53399 -8.42987 -6.70368 -5.82935 -3.25247 2.50035 3.07432 3.33689 3.41235 3.42878 3.64652 4.08277 4.33824 4.43977 4.46023 4.54971 4.72685 4.78679 4.83936 5.04238 5.12489 5.18885 5.21416 5.30922 5.32597 5.38332 5.40446 5.43599 5.52135 5.57742 5.60851 5.66714 5.69743 5.72818 5.76732 5.81039 5.88002 5.95691 5.97456 6.04310 6.06765 6.19260 6.27548 6.44677 6.47343 6.52808 6.54145 6.69543 6.72770 6.78720 6.96400 7.13217 7.29571 7.52554 7.60470 7.75700 8.19233 8.41298 9.17714 9.81211 10.38181 11.25600 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016117 B = 0.003083 C = 0.002815 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1736.841556 B = 9080.817622 C = 9942.879787 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.075 3.925 3 H 0.085 0.915 4 C -0.125 4.125 5 C -0.114 4.114 6 H 0.101 0.899 7 C 0.515 3.485 8 O -0.536 6.536 9 N -0.686 5.686 10 C 0.108 3.892 11 C -0.042 4.042 12 C -0.123 4.123 13 C 0.144 3.856 14 N -0.592 5.592 15 C -0.252 4.252 16 H 0.065 0.935 17 C 0.002 3.998 18 N -0.903 5.903 19 Si 0.901 3.099 20 H -0.287 1.287 21 H -0.290 1.290 22 H -0.280 1.280 23 C 0.172 3.828 24 C -0.133 4.133 25 C -0.179 4.179 26 C -0.176 4.176 27 C -0.148 4.148 28 C 0.061 3.939 29 O -0.383 6.383 30 H 0.069 0.931 31 H 0.060 0.940 32 H 0.058 0.942 33 H 0.074 0.926 34 H 0.079 0.921 35 H 0.407 0.593 36 H 0.078 0.922 37 H 0.056 0.944 38 H 0.052 0.948 39 H 0.017 0.983 40 H 0.053 0.947 41 H 0.254 0.746 42 H 0.018 0.982 43 H 0.087 0.913 44 H 0.051 0.949 45 H 0.050 0.950 46 H 0.104 0.896 47 H 0.090 0.910 48 H 0.091 0.909 49 H 0.103 0.897 50 H 0.080 0.920 51 H 0.084 0.916 52 H 0.096 0.904 53 H 0.050 0.950 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.541 -1.205 -1.541 19.639 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 -0.199 4.199 2 C 0.017 3.983 3 H 0.103 0.897 4 C -0.163 4.163 5 C -0.135 4.135 6 H 0.119 0.881 7 C 0.302 3.698 8 O -0.414 6.414 9 N -0.336 5.336 10 C 0.021 3.979 11 C -0.061 4.061 12 C -0.163 4.163 13 C 0.018 3.982 14 N -0.315 5.315 15 C -0.382 4.382 16 H 0.082 0.918 17 C -0.196 4.196 18 N -0.547 5.547 19 Si 0.730 3.270 20 H -0.214 1.214 21 H -0.216 1.216 22 H -0.205 1.205 23 C 0.046 3.954 24 C -0.172 4.172 25 C -0.217 4.217 26 C -0.214 4.214 27 C -0.186 4.186 28 C -0.016 4.016 29 O -0.302 6.302 30 H 0.088 0.912 31 H 0.079 0.921 32 H 0.077 0.923 33 H 0.093 0.907 34 H 0.098 0.902 35 H 0.244 0.756 36 H 0.096 0.904 37 H 0.075 0.925 38 H 0.070 0.930 39 H 0.034 0.966 40 H 0.072 0.928 41 H 0.064 0.936 42 H 0.036 0.964 43 H 0.106 0.894 44 H 0.069 0.931 45 H 0.069 0.931 46 H 0.122 0.878 47 H 0.108 0.892 48 H 0.109 0.891 49 H 0.121 0.879 50 H 0.099 0.901 51 H 0.102 0.898 52 H 0.114 0.886 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges -20.052 -0.691 -1.517 20.121 hybrid contribution 1.159 -1.068 0.101 1.579 sum -18.893 -1.759 -1.416 19.028 Atomic orbital electron populations 1.21732 0.93459 1.02358 1.02331 1.22364 0.94770 0.96969 0.84158 0.89742 1.21980 0.92770 1.01721 0.99862 1.21447 0.97641 0.94016 1.00413 0.88086 1.20566 0.82208 0.91221 0.75789 1.90597 1.57884 1.43362 1.49591 1.45494 1.06519 1.08248 1.73363 1.20944 0.92816 0.78840 1.05301 1.20777 0.87430 1.00310 0.97627 1.22046 0.98698 1.00817 0.94709 1.20915 0.90292 0.91704 0.95314 1.44052 1.43605 1.34814 1.09001 1.19166 1.05035 1.20181 0.93810 0.91773 1.25044 0.97021 1.00287 0.97284 1.70024 1.35490 1.40229 1.08983 0.86331 0.80171 0.82906 0.77565 1.21400 1.21578 1.20501 1.20750 0.87418 1.01266 0.85974 1.22204 1.00711 0.96316 0.98001 1.23421 1.02828 1.00952 0.94483 1.23325 1.02380 1.00346 0.95394 1.22209 1.01776 1.00698 0.93931 1.22527 0.81346 0.99662 0.98037 1.87891 1.20588 1.78229 1.43531 0.91170 0.92065 0.92261 0.90695 0.90233 0.75596 0.90385 0.92484 0.92969 0.96553 0.92815 0.93631 0.96398 0.89435 0.93066 0.93091 0.87763 0.89154 0.89068 0.87867 0.90101 0.89782 0.88578 0.93192 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.14 -1.30 9.56 37.16 0.36 -0.94 16 2 C 0.07 0.83 2.98 -26.69 -0.08 0.75 16 3 H 0.08 1.11 5.80 -51.93 -0.30 0.81 16 4 C -0.13 -1.22 4.56 -26.60 -0.12 -1.35 16 5 C -0.11 -1.12 3.04 -91.59 -0.28 -1.40 16 6 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 7 C 0.52 6.32 5.52 -10.98 -0.06 6.26 16 8 O -0.54 -7.68 9.32 5.56 0.05 -7.63 16 9 N -0.69 -8.60 5.27 -47.60 -0.25 -8.85 16 10 C 0.11 1.49 2.48 -131.82 -0.33 1.17 16 11 C -0.04 -0.66 2.28 -90.58 -0.21 -0.86 16 12 C -0.12 -2.01 5.22 -26.61 -0.14 -2.15 16 13 C 0.14 2.89 6.52 -3.71 -0.02 2.86 16 14 N -0.59 -14.13 2.99 -172.32 -0.52 -14.65 16 15 C -0.25 -6.69 9.58 -15.06 -0.14 -6.83 16 16 H 0.06 1.68 7.88 -52.49 -0.41 1.26 16 17 C 0.00 0.06 4.92 -17.43 -0.09 -0.03 16 18 N -0.90 -25.54 11.19 55.49 0.62 -24.92 16 19 Si 0.90 21.09 29.59 -169.99 -5.03 16.06 16 20 H -0.29 -6.77 7.11 56.52 0.40 -6.37 16 21 H -0.29 -6.83 7.11 56.52 0.40 -6.43 16 22 H -0.28 -6.41 7.11 56.52 0.40 -6.00 16 23 C 0.17 3.87 5.30 -3.71 -0.02 3.85 16 24 C -0.13 -2.29 4.83 -26.61 -0.13 -2.42 16 25 C -0.18 -2.45 9.37 -26.69 -0.25 -2.70 16 26 C -0.18 -2.40 8.91 -26.69 -0.24 -2.64 16 27 C -0.15 -1.36 5.57 -26.60 -0.15 -1.51 16 28 C 0.06 0.65 6.62 37.20 0.25 0.89 16 29 O -0.38 -4.63 10.41 -35.23 -0.37 -5.00 16 30 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 31 H 0.06 0.56 8.14 -51.93 -0.42 0.13 16 32 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 33 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 34 H 0.08 0.79 8.03 -51.93 -0.42 0.37 16 35 H 0.41 4.85 6.08 -40.82 -0.25 4.60 16 36 H 0.08 1.26 7.90 -51.93 -0.41 0.85 16 37 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 38 H 0.05 0.76 7.25 -51.93 -0.38 0.39 16 39 H 0.02 0.34 8.14 -51.93 -0.42 -0.09 16 40 H 0.05 1.07 7.93 -51.93 -0.41 0.66 16 41 H 0.25 6.96 8.31 -40.82 -0.34 6.62 16 42 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 43 H 0.09 2.22 6.07 -51.93 -0.31 1.91 16 44 H 0.05 0.83 8.14 -51.93 -0.42 0.41 16 45 H 0.05 0.86 6.50 -51.92 -0.34 0.52 16 46 H 0.10 1.54 6.37 -51.93 -0.33 1.21 16 47 H 0.09 1.17 8.05 -51.93 -0.42 0.75 16 48 H 0.09 1.17 7.61 -51.92 -0.39 0.78 16 49 H 0.10 1.52 6.38 -51.93 -0.33 1.19 16 50 H 0.08 0.70 7.52 -51.93 -0.39 0.31 16 51 H 0.08 0.69 8.14 -51.92 -0.42 0.27 16 52 H 0.10 0.89 8.14 -51.93 -0.42 0.46 16 53 H 0.05 0.59 7.38 -51.93 -0.38 0.21 16 LS Contribution 391.95 15.07 5.91 5.91 Total: -1.00 -29.38 391.95 -10.50 -39.87 By element: Atomic # 1 Polarization: 15.51 SS G_CDS: -9.27 Total: 6.24 kcal Atomic # 6 Polarization: -5.40 SS G_CDS: -1.65 Total: -7.05 kcal Atomic # 7 Polarization: -48.27 SS G_CDS: -0.15 Total: -48.42 kcal Atomic # 8 Polarization: -12.31 SS G_CDS: -0.31 Total: -12.62 kcal Atomic # 14 Polarization: 21.09 SS G_CDS: -5.03 Total: 16.06 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -29.38 -10.50 -39.87 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. ZINC001000305799.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 -5.261 kcal (2) G-P(sol) polarization free energy of solvation -29.376 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -34.637 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.497 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.873 kcal (6) G-S(sol) free energy of system = (1) + (5) -45.134 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.32 seconds