Wall clock time and date at job start Sat Apr 11 2020 06:11:28 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 1.52997 * 1 3 3 H 1.09000 * 109.46957 * 2 1 4 4 O 1.42897 * 109.47399 * 239.99604 * 2 1 3 5 5 C 1.42900 * 113.99875 * 89.99700 * 4 2 1 6 6 C 1.53000 * 109.46925 * 180.02562 * 5 4 2 7 7 H 1.09001 * 109.82839 * 305.69903 * 6 5 4 8 8 C 1.54387 * 109.83062 * 184.81812 * 6 5 4 9 9 C 1.55454 * 102.18450 * 219.18540 * 8 6 5 10 10 C 1.54941 * 100.99398 * 34.03391 * 9 8 6 11 11 O 1.43243 * 109.83219 * 66.58911 * 6 5 4 12 12 C 1.50706 * 109.47058 * 119.99484 * 2 1 3 13 13 O 1.21283 * 119.99788 * 115.00444 * 12 2 1 14 14 N 1.34775 * 119.99836 * 295.00248 * 12 2 1 15 15 C 1.46931 * 120.60689 * 359.97438 * 14 12 2 16 16 C 1.53196 * 108.77131 * 233.57988 * 15 14 12 17 17 C 1.53039 * 109.33748 * 305.41286 * 16 15 14 18 18 C 1.53005 * 109.45951 * 181.36946 * 17 16 15 19 19 N 1.46494 * 109.46065 * 301.33071 * 17 16 15 20 20 C 1.36942 * 120.00052 * 179.97438 * 19 17 16 21 21 H 1.07998 * 119.99739 * 0.02562 * 20 19 17 22 22 C 1.38807 * 120.00072 * 179.97438 * 20 19 17 23 23 N 1.31619 * 120.00002 * 0.02562 * 22 20 19 24 24 Si 1.86803 * 119.99978 * 180.02562 * 22 20 19 25 25 H 1.48494 * 109.47084 * 60.00288 * 24 22 20 26 26 H 1.48509 * 109.47030 * 180.02562 * 24 22 20 27 27 H 1.48501 * 109.47089 * 300.00053 * 24 22 20 28 28 C 1.53045 * 109.53694 * 61.35198 * 17 16 15 29 29 C 1.46928 * 120.62574 * 180.02562 * 14 12 2 30 30 H 1.08997 * 109.47217 * 60.00682 * 1 2 3 31 31 H 1.09008 * 109.47197 * 180.02562 * 1 2 3 32 32 H 1.09002 * 109.47361 * 300.00225 * 1 2 3 33 33 H 1.09004 * 109.47440 * 299.99904 * 5 4 2 34 34 H 1.09001 * 109.47051 * 60.00374 * 5 4 2 35 35 H 1.09001 * 110.84486 * 337.31561 * 8 6 5 36 36 H 1.08994 * 110.85094 * 100.93997 * 8 6 5 37 37 H 1.09002 * 111.05300 * 276.11725 * 9 8 6 38 38 H 1.08997 * 111.18473 * 152.00871 * 9 8 6 39 39 H 1.08997 * 110.31196 * 204.69598 * 10 9 8 40 40 H 1.09006 * 110.39326 * 82.56072 * 10 9 8 41 41 H 1.08996 * 109.56502 * 113.80682 * 15 14 12 42 42 H 1.09001 * 109.61713 * 353.38104 * 15 14 12 43 43 H 1.09002 * 109.49815 * 185.44599 * 16 15 14 44 44 H 1.09000 * 109.49595 * 65.37996 * 16 15 14 45 45 H 1.08993 * 109.46896 * 60.00258 * 18 17 16 46 46 H 1.09000 * 109.46705 * 180.02562 * 18 17 16 47 47 H 1.09000 * 109.47060 * 300.00226 * 18 17 16 48 48 H 0.96997 * 120.00152 * 0.02562 * 19 17 16 49 49 H 0.97007 * 120.00045 * 179.97438 * 23 22 20 50 50 H 1.08993 * 109.49877 * 58.58562 * 28 17 16 51 51 H 1.09003 * 109.49434 * 178.65059 * 28 17 16 52 52 H 1.08997 * 109.58597 * 6.59803 * 29 14 12 53 53 H 1.09001 * 109.69741 * 246.24622 * 29 14 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 6 1.5300 0.0000 0.0000 3 1 1.8933 1.0277 0.0000 4 8 2.0064 -0.6737 -1.1667 5 6 2.2001 0.1828 -2.2940 6 6 2.7079 -0.6410 -3.4791 7 1 3.6000 -1.1958 -3.1884 8 6 3.0350 0.2928 -4.6642 9 6 2.5302 -0.5324 -5.8811 10 6 1.3055 -1.2521 -5.2625 11 8 1.6891 -1.5507 -3.9107 12 6 2.0323 -0.7103 1.2306 13 8 2.6530 -1.7466 1.1217 14 7 1.7918 -0.1940 2.4520 15 6 1.0418 1.0609 2.5993 16 6 1.8692 2.0332 3.4460 17 6 2.2401 1.3627 4.7707 18 6 3.0375 2.3435 5.6328 19 7 1.0185 0.9724 5.4789 20 6 1.1018 0.3500 6.6959 21 1 2.0681 0.1473 7.1337 22 6 -0.0556 -0.0194 7.3672 23 7 -1.2332 0.2282 6.8339 24 14 0.0580 -0.8677 9.0276 25 1 0.7630 0.0179 9.9887 26 1 -1.3091 -1.1562 9.5307 27 1 0.8104 -2.1398 8.8830 28 6 3.0889 0.1194 4.4950 29 6 2.2756 -0.8747 3.6609 30 1 -0.3633 0.5137 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 -0.3634 0.5139 0.8900 33 1 1.2537 0.6545 -2.5589 34 1 2.9319 0.9512 -2.0450 35 1 2.4891 1.2324 -4.5798 36 1 4.1081 0.4710 -4.7330 37 1 3.2835 -1.2493 -6.2077 38 1 2.2299 0.1192 -6.7016 39 1 1.0922 -2.1718 -5.8071 40 1 0.4347 -0.5965 -5.2724 41 1 0.0916 0.8621 3.0950 42 1 0.8596 1.4958 1.6166 43 1 1.2844 2.9315 3.6441 44 1 2.7779 2.3021 2.9074 45 1 2.4327 3.2284 5.8302 46 1 3.3021 1.8658 6.5761 47 1 3.9462 2.6346 5.1058 48 1 0.1507 1.1541 5.0856 49 1 -2.0420 -0.0303 7.3029 50 1 3.9861 0.4059 3.9463 51 1 3.3728 -0.3441 5.4398 52 1 2.9071 -1.7168 3.3781 53 1 1.4279 -1.2335 4.2447 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 ZINC001700287052.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 06:11:28 Heat of formation + Delta-G solvation = -110.563578 kcal Electronic energy + Delta-G solvation = -31344.503431 eV Core-core repulsion = 27216.746776 eV Total energy + Delta-G solvation = -4127.756655 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -40.28591 -39.75818 -38.19863 -37.07306 -34.58527 -32.65536 -32.45207 -31.99264 -30.74456 -29.96733 -28.97745 -27.70753 -25.91405 -24.40863 -23.93353 -22.85161 -22.28045 -21.90034 -21.45572 -19.67205 -18.15720 -17.54332 -17.11070 -17.05808 -16.64313 -16.04049 -15.69725 -15.36248 -14.90933 -14.69893 -14.52881 -14.06157 -13.92269 -13.78924 -13.62717 -13.51894 -13.35531 -12.94935 -12.75999 -12.42999 -12.35815 -12.25827 -12.09429 -11.85790 -11.64245 -11.55101 -11.52239 -11.43392 -11.31076 -11.21535 -11.12030 -10.87028 -10.78468 -10.66620 -10.33925 -10.10134 -9.93166 -9.74645 -9.70489 -9.53880 -9.17463 -8.92192 -8.17577 -6.96767 -5.77937 -3.05935 2.88289 2.93174 3.43538 3.48759 3.49272 3.51020 3.79090 4.07114 4.42299 4.50900 4.58087 4.64185 4.76461 4.81229 4.88638 4.92281 5.06387 5.08951 5.14370 5.22687 5.28658 5.29105 5.35828 5.37884 5.43373 5.53858 5.57635 5.61429 5.62373 5.67034 5.71796 5.80957 5.84739 5.91849 6.06559 6.12990 6.20031 6.28285 6.35978 6.47872 6.51950 6.66101 6.72685 6.78579 6.90237 7.01720 7.03969 7.13240 7.71006 7.78439 8.40584 8.49878 9.52393 10.08146 10.43505 11.44584 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.023545 B = 0.002293 C = 0.002234 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1188.932512 B =12208.598179 C =12533.302719 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.177 4.177 2 C 0.073 3.927 3 H 0.081 0.919 4 O -0.346 6.346 5 C 0.050 3.950 6 C 0.084 3.916 7 H 0.090 0.910 8 C -0.149 4.149 9 C -0.156 4.156 10 C 0.045 3.955 11 O -0.365 6.365 12 C 0.513 3.487 13 O -0.531 6.531 14 N -0.597 5.597 15 C 0.104 3.896 16 C -0.131 4.131 17 C 0.197 3.803 18 C -0.150 4.150 19 N -0.716 5.716 20 C -0.231 4.231 21 H 0.070 0.930 22 C -0.012 4.012 23 N -0.933 5.933 24 Si 0.902 3.098 25 H -0.288 1.288 26 H -0.292 1.292 27 H -0.286 1.286 28 C -0.133 4.133 29 C 0.123 3.877 30 H 0.065 0.935 31 H 0.071 0.929 32 H 0.082 0.918 33 H 0.054 0.946 34 H 0.059 0.941 35 H 0.079 0.921 36 H 0.086 0.914 37 H 0.080 0.920 38 H 0.083 0.917 39 H 0.085 0.915 40 H 0.059 0.941 41 H 0.083 0.917 42 H 0.076 0.924 43 H 0.075 0.925 44 H 0.062 0.938 45 H 0.049 0.951 46 H 0.056 0.944 47 H 0.035 0.965 48 H 0.383 0.617 49 H 0.255 0.745 50 H 0.047 0.953 51 H 0.074 0.926 52 H 0.076 0.924 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.530 5.628 -23.395 24.933 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 -0.235 4.235 2 C 0.012 3.988 3 H 0.099 0.901 4 O -0.264 6.264 5 C -0.027 4.027 6 C 0.026 3.974 7 H 0.108 0.892 8 C -0.186 4.186 9 C -0.193 4.193 10 C -0.031 4.031 11 O -0.284 6.284 12 C 0.299 3.701 13 O -0.407 6.407 14 N -0.331 5.331 15 C -0.019 4.019 16 C -0.169 4.169 17 C 0.106 3.894 18 C -0.209 4.209 19 N -0.358 5.358 20 C -0.362 4.362 21 H 0.088 0.912 22 C -0.208 4.208 23 N -0.582 5.582 24 Si 0.734 3.266 25 H -0.214 1.214 26 H -0.218 1.218 27 H -0.213 1.213 28 C -0.174 4.174 29 C 0.001 3.999 30 H 0.084 0.916 31 H 0.091 0.909 32 H 0.100 0.900 33 H 0.072 0.928 34 H 0.077 0.923 35 H 0.098 0.902 36 H 0.105 0.895 37 H 0.098 0.902 38 H 0.102 0.898 39 H 0.103 0.897 40 H 0.077 0.923 41 H 0.101 0.899 42 H 0.094 0.906 43 H 0.093 0.907 44 H 0.081 0.919 45 H 0.068 0.932 46 H 0.075 0.925 47 H 0.054 0.946 48 H 0.218 0.782 49 H 0.064 0.936 50 H 0.065 0.935 51 H 0.093 0.907 52 H 0.095 0.905 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges 6.833 4.619 -23.165 24.590 hybrid contribution -0.322 0.210 0.841 0.925 sum 6.511 4.828 -22.324 23.751 Atomic orbital electron populations 1.22404 0.93550 1.04272 1.03272 1.21879 0.95266 0.95874 0.85829 0.90129 1.88112 1.86450 1.33433 1.18415 1.23030 0.99893 0.92926 0.86881 1.22750 0.91741 0.90562 0.92363 0.89179 1.23143 1.02864 0.99012 0.93616 1.23295 0.98428 0.99558 0.98067 1.23418 0.96440 1.00084 0.83186 1.88598 1.56727 1.54678 1.28364 1.20231 0.80143 0.85621 0.84083 1.90681 1.40538 1.23463 1.86068 1.48025 1.54839 1.24588 1.05628 1.21935 0.96023 0.84036 0.99883 1.22108 0.99916 0.98241 0.96683 1.19534 0.88515 0.91628 0.89731 1.22219 0.98408 0.99752 1.00536 1.42465 1.01946 1.70699 1.20679 1.19064 0.92355 1.29807 0.95009 0.91233 1.24683 0.95354 1.02039 0.98731 1.69630 0.96559 1.52863 1.39117 0.86344 0.76419 0.79533 0.84345 1.21441 1.21846 1.21322 1.22300 0.97422 0.98078 0.99572 1.21563 0.99654 0.94846 0.83811 0.91587 0.90946 0.89969 0.92796 0.92317 0.90189 0.89489 0.90179 0.89795 0.89685 0.92288 0.89889 0.90564 0.90657 0.91901 0.93165 0.92519 0.94634 0.78228 0.93560 0.93461 0.90697 0.90543 0.89466 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.18 -2.12 9.10 37.16 0.34 -1.79 16 2 C 0.07 0.99 2.30 -27.88 -0.06 0.93 16 3 H 0.08 0.87 7.07 -51.93 -0.37 0.51 16 4 O -0.35 -5.18 9.51 -58.76 -0.56 -5.74 16 5 C 0.05 0.52 5.28 37.16 0.20 0.72 16 6 C 0.08 0.84 3.81 -26.00 -0.10 0.74 16 7 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 8 C -0.15 -0.93 6.56 -24.70 -0.16 -1.09 16 9 C -0.16 -0.89 7.16 -24.40 -0.17 -1.06 16 10 C 0.05 0.36 7.78 38.18 0.30 0.65 16 11 O -0.36 -4.41 11.00 -37.67 -0.41 -4.83 16 12 C 0.51 8.94 7.12 -10.98 -0.08 8.86 16 13 O -0.53 -11.42 15.92 -14.31 -0.23 -11.65 16 14 N -0.60 -9.96 2.97 -172.79 -0.51 -10.48 16 15 C 0.10 1.50 4.70 -3.71 -0.02 1.48 16 16 C -0.13 -1.91 4.96 -26.61 -0.13 -2.04 16 17 C 0.20 3.54 0.74 -131.78 -0.10 3.44 16 18 C -0.15 -2.57 8.44 37.16 0.31 -2.26 16 19 N -0.72 -16.00 4.14 -47.19 -0.20 -16.20 16 20 C -0.23 -5.90 8.68 -15.06 -0.13 -6.03 16 21 H 0.07 1.75 6.70 -52.49 -0.35 1.40 16 22 C -0.01 -0.33 5.50 -17.43 -0.10 -0.43 16 23 N -0.93 -26.84 13.06 55.49 0.72 -26.11 16 24 Si 0.90 21.90 29.55 -169.99 -5.02 16.88 16 25 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 26 H -0.29 -7.25 7.11 56.52 0.40 -6.84 16 27 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 28 C -0.13 -2.37 4.70 -26.63 -0.13 -2.50 16 29 C 0.12 2.30 6.17 -3.73 -0.02 2.27 16 30 H 0.07 0.65 7.87 -51.93 -0.41 0.24 16 31 H 0.07 0.99 8.14 -51.92 -0.42 0.57 16 32 H 0.08 0.93 5.41 -51.93 -0.28 0.64 16 33 H 0.05 0.50 7.87 -51.93 -0.41 0.09 16 34 H 0.06 0.50 8.09 -51.93 -0.42 0.08 16 35 H 0.08 0.42 7.85 -51.93 -0.41 0.01 16 36 H 0.09 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.08 0.44 8.14 -51.93 -0.42 0.01 16 38 H 0.08 0.33 8.14 -51.93 -0.42 -0.09 16 39 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 40 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 41 H 0.08 1.35 6.94 -51.93 -0.36 0.99 16 42 H 0.08 0.85 4.67 -51.93 -0.24 0.61 16 43 H 0.07 1.05 8.14 -51.93 -0.42 0.62 16 44 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 45 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 46 H 0.06 1.06 7.27 -51.93 -0.38 0.68 16 47 H 0.03 0.52 8.14 -51.93 -0.42 0.10 16 48 H 0.38 9.15 6.46 -40.82 -0.26 8.88 16 49 H 0.25 7.23 8.31 -40.82 -0.34 6.89 16 50 H 0.05 0.78 8.14 -51.93 -0.42 0.35 16 51 H 0.07 1.42 7.31 -51.93 -0.38 1.04 16 52 H 0.08 1.47 7.00 -51.93 -0.36 1.11 16 53 H 0.09 1.88 7.74 -51.93 -0.40 1.47 16 LS Contribution 404.74 15.07 6.10 6.10 Total: -1.00 -32.82 404.74 -9.41 -42.22 By element: Atomic # 1 Polarization: 17.15 SS G_CDS: -9.24 Total: 7.91 kcal Atomic # 6 Polarization: 1.94 SS G_CDS: -0.05 Total: 1.89 kcal Atomic # 7 Polarization: -52.80 SS G_CDS: 0.02 Total: -52.79 kcal Atomic # 8 Polarization: -21.01 SS G_CDS: -1.20 Total: -22.22 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -5.02 Total: 16.88 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -32.82 -9.41 -42.22 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. ZINC001700287052.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 -68.339 kcal (2) G-P(sol) polarization free energy of solvation -32.817 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.156 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.408 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.225 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.564 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds