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 1.52998 * 1 3 3 N 1.46499 * 109.47251 * 2 1 4 4 C 1.46497 * 120.00215 * 87.28399 * 3 2 1 5 5 C 1.50702 * 109.47192 * 90.00091 * 4 3 2 6 6 H 1.07999 * 120.00121 * 0.02562 * 5 4 3 7 7 C 1.37875 * 120.00067 * 180.02562 * 5 4 3 8 8 N 1.31517 * 120.00277 * 180.02562 * 7 5 4 9 9 Si 1.86807 * 119.99705 * 359.97438 * 7 5 4 10 10 H 1.48495 * 109.47180 * 269.99506 * 9 7 5 11 11 H 1.48492 * 109.47310 * 30.00291 * 9 7 5 12 12 H 1.48509 * 109.46846 * 150.00207 * 9 7 5 13 13 C 1.34778 * 120.00014 * 267.28463 * 3 2 1 14 14 O 1.21279 * 120.00444 * 185.26494 * 13 3 2 15 15 C 1.50700 * 119.99995 * 5.26645 * 13 3 2 16 16 H 1.09003 * 112.74371 * 26.61278 * 15 13 3 17 17 N 1.47068 * 113.47171 * 157.36480 * 15 13 3 18 18 C 1.34778 * 136.05370 * 321.86420 * 17 15 13 19 19 O 1.21510 * 120.00174 * 0.02562 * 18 17 15 20 20 O 1.34634 * 119.99625 * 179.97438 * 18 17 15 21 21 C 1.45202 * 116.99669 * 179.97438 * 20 18 17 22 22 C 1.53002 * 109.46825 * 60.00409 * 21 20 18 23 23 C 1.53004 * 109.47002 * 180.02562 * 21 20 18 24 24 C 1.52992 * 109.47628 * 300.00230 * 21 20 18 25 25 C 1.47070 * 87.88861 * 141.89738 * 17 15 13 26 26 C 1.53498 * 113.46660 * 255.80095 * 15 13 3 27 27 C 1.52999 * 114.20634 * 332.73390 * 26 15 13 28 28 C 1.53003 * 114.21007 * 105.56186 * 26 15 13 29 29 H 1.09004 * 109.46582 * 60.00160 * 1 2 3 30 30 H 1.08994 * 109.47192 * 180.02562 * 1 2 3 31 31 H 1.08994 * 109.47610 * 300.00378 * 1 2 3 32 32 H 1.09002 * 109.47302 * 239.99651 * 2 1 3 33 33 H 1.08997 * 109.47190 * 119.99622 * 2 1 3 34 34 H 1.09001 * 109.47059 * 329.99679 * 4 3 2 35 35 H 1.09009 * 109.47266 * 210.00233 * 4 3 2 36 36 H 0.96994 * 119.99924 * 179.97438 * 8 7 5 37 37 H 1.09004 * 109.46772 * 59.99784 * 22 21 20 38 38 H 1.09005 * 109.47125 * 179.97438 * 22 21 20 39 39 H 1.08991 * 109.47111 * 299.99976 * 22 21 20 40 40 H 1.08998 * 109.46863 * 60.00722 * 23 21 20 41 41 H 1.08996 * 109.47137 * 180.02562 * 23 21 20 42 42 H 1.08995 * 109.47105 * 300.00325 * 23 21 20 43 43 H 1.09008 * 109.46969 * 59.99800 * 24 21 20 44 44 H 1.09000 * 109.47657 * 179.97438 * 24 21 20 45 45 H 1.09000 * 109.47398 * 300.00539 * 24 21 20 46 46 H 1.09004 * 113.46804 * 87.65628 * 25 17 15 47 47 H 1.08993 * 113.47041 * 218.10239 * 25 17 15 48 48 H 1.09001 * 109.46844 * 60.00211 * 27 26 15 49 49 H 1.09001 * 109.47504 * 179.97438 * 27 26 15 50 50 H 1.08999 * 109.47188 * 300.00378 * 27 26 15 51 51 H 1.09000 * 109.47003 * 55.32632 * 28 26 15 52 52 H 1.09002 * 109.47051 * 175.32500 * 28 26 15 53 53 H 1.09002 * 109.46789 * 295.32850 * 28 26 15 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 7 2.0183 1.3812 0.0000 4 6 2.2059 2.0919 1.2672 5 6 3.6082 1.8625 1.7691 6 1 4.2916 1.2490 1.2007 7 6 4.0188 2.4357 2.9539 8 7 5.2428 2.2360 3.3917 9 14 2.8370 3.4974 3.9367 10 1 2.9597 4.9108 3.4983 11 1 1.4461 3.0283 3.7117 12 1 3.1657 3.3969 5.3814 13 6 2.2951 1.9981 -1.1659 14 8 2.7890 3.1058 -1.1636 15 6 1.9909 1.3115 -2.4725 16 1 1.1766 0.5915 -2.3906 17 7 1.8388 2.2417 -3.6014 18 6 1.3019 3.4640 -3.7862 19 8 0.7820 4.0463 -2.8550 20 8 1.3424 4.0402 -5.0023 21 6 0.7441 5.3572 -5.1280 22 6 1.4550 6.3321 -4.1872 23 6 0.8849 5.8458 -6.5710 24 6 -0.7386 5.2813 -4.7582 25 6 2.5298 1.2507 -4.4403 26 6 3.2363 0.7505 -3.1727 27 6 4.5312 1.4950 -2.8412 28 6 3.3714 -0.7712 -3.0888 29 1 -0.3633 0.5138 -0.8901 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3634 0.5138 0.8899 32 1 1.8933 -0.5139 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 1.4916 1.7196 2.0017 35 1 2.0452 3.1589 1.1127 36 1 5.5317 2.6396 4.2250 37 1 2.5114 6.3862 -4.4507 38 1 1.0062 7.3210 -4.2818 39 1 1.3544 5.9839 -3.1594 40 1 0.3781 5.1511 -7.2409 41 1 0.4362 6.8346 -6.6653 42 1 1.9411 5.8998 -6.8349 43 1 -0.8393 4.9330 -3.7302 44 1 -1.1876 6.2701 -4.8521 45 1 -1.2451 4.5867 -5.4283 46 1 1.8595 0.5139 -4.8830 47 1 3.2079 1.6957 -5.1684 48 1 4.7164 1.4417 -1.7683 49 1 5.3620 1.0350 -3.3762 50 1 4.4378 2.5384 -3.1424 51 1 2.4675 -1.2383 -3.4799 52 1 4.2305 -1.0927 -3.6776 53 1 3.5123 -1.0666 -2.0490 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 ZINC000793154317.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 = -71.403957 kcal Electronic energy + Delta-G solvation = -32913.053622 eV Core-core repulsion = 28786.995055 eV Total energy + Delta-G solvation = -4126.058567 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -41.34008 -39.99782 -38.05924 -36.44460 -35.30845 -34.02273 -32.66839 -32.32844 -30.32682 -28.53252 -27.49364 -27.40017 -27.35373 -26.89199 -26.33753 -22.94310 -22.59344 -21.68296 -19.49266 -19.30225 -18.18652 -17.49759 -16.94261 -16.77497 -16.54046 -15.83497 -15.52435 -15.10139 -14.83719 -14.44036 -14.15620 -14.01203 -13.78860 -13.69816 -13.47907 -13.26973 -12.90446 -12.61178 -12.57670 -12.49362 -12.30110 -12.27382 -11.99747 -11.92480 -11.84579 -11.79838 -11.69753 -11.56206 -11.41071 -11.36160 -11.15204 -11.06249 -10.92667 -10.69432 -10.55404 -10.40367 -10.28637 -10.10883 -9.76707 -9.48801 -9.04589 -8.54150 -8.52026 -7.63875 -6.04695 -4.02314 1.95745 3.08975 3.28260 3.33085 3.38973 3.42394 3.76635 3.99109 4.11776 4.44259 4.68537 4.69475 4.72860 4.82564 4.87288 4.97400 5.06701 5.16343 5.25523 5.28674 5.32742 5.36961 5.41622 5.48569 5.55947 5.60367 5.61344 5.67336 5.69622 5.70869 5.77601 5.86016 5.90100 5.94190 5.96408 6.03098 6.06436 6.17617 6.24389 6.27710 6.43594 6.44866 6.59777 6.61905 6.77145 7.02700 7.41517 7.66665 7.81212 8.30875 8.51495 8.57129 8.97591 9.06360 9.56726 11.08644 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011212 B = 0.004074 C = 0.003531 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2496.741193 B = 6870.572148 C = 7927.958725 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.172 4.172 2 C 0.103 3.897 3 N -0.592 5.592 4 C 0.219 3.781 5 C -0.523 4.523 6 H 0.075 0.925 7 C 0.073 3.927 8 N -0.899 5.899 9 Si 0.873 3.127 10 H -0.274 1.274 11 H -0.266 1.266 12 H -0.285 1.285 13 C 0.509 3.491 14 O -0.506 6.506 15 C 0.137 3.863 16 H 0.108 0.892 17 N -0.615 5.615 18 C 0.683 3.317 19 O -0.544 6.544 20 O -0.365 6.365 21 C 0.137 3.863 22 C -0.184 4.184 23 C -0.138 4.138 24 C -0.183 4.183 25 C 0.111 3.889 26 C -0.082 4.082 27 C -0.126 4.126 28 C -0.138 4.138 29 H 0.050 0.950 30 H 0.062 0.938 31 H 0.060 0.940 32 H 0.068 0.932 33 H 0.086 0.914 34 H 0.029 0.971 35 H 0.034 0.966 36 H 0.263 0.737 37 H 0.059 0.941 38 H 0.067 0.933 39 H 0.092 0.908 40 H 0.064 0.936 41 H 0.078 0.922 42 H 0.066 0.934 43 H 0.088 0.912 44 H 0.068 0.932 45 H 0.057 0.943 46 H 0.087 0.913 47 H 0.084 0.916 48 H 0.074 0.926 49 H 0.061 0.939 50 H 0.065 0.935 51 H 0.062 0.938 52 H 0.069 0.931 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.464 -4.072 -20.108 22.594 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 -0.230 4.230 2 C -0.021 4.021 3 N -0.325 5.325 4 C 0.099 3.901 5 C -0.561 4.561 6 H 0.093 0.907 7 C -0.129 4.129 8 N -0.537 5.537 9 Si 0.701 3.299 10 H -0.200 1.200 11 H -0.191 1.191 12 H -0.211 1.211 13 C 0.293 3.707 14 O -0.379 6.379 15 C 0.031 3.969 16 H 0.126 0.874 17 N -0.357 5.357 18 C 0.439 3.561 19 O -0.431 6.431 20 O -0.280 6.280 21 C 0.100 3.900 22 C -0.242 4.242 23 C -0.195 4.195 24 C -0.240 4.240 25 C -0.012 4.012 26 C -0.083 4.083 27 C -0.183 4.183 28 C -0.195 4.195 29 H 0.069 0.931 30 H 0.081 0.919 31 H 0.079 0.921 32 H 0.086 0.914 33 H 0.104 0.896 34 H 0.046 0.954 35 H 0.052 0.948 36 H 0.073 0.927 37 H 0.078 0.922 38 H 0.086 0.914 39 H 0.111 0.889 40 H 0.083 0.917 41 H 0.097 0.903 42 H 0.085 0.915 43 H 0.107 0.893 44 H 0.087 0.913 45 H 0.076 0.924 46 H 0.105 0.895 47 H 0.102 0.898 48 H 0.093 0.907 49 H 0.080 0.920 50 H 0.084 0.916 51 H 0.081 0.919 52 H 0.088 0.912 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -9.371 -2.888 -19.719 22.022 hybrid contribution -0.692 0.619 0.679 1.150 sum -10.063 -2.269 -19.040 21.655 Atomic orbital electron populations 1.22260 0.96869 1.01503 1.02393 1.21506 0.93450 0.84069 1.03038 1.47881 1.64376 1.13307 1.06951 1.19615 0.97463 0.92980 0.80063 1.21312 0.96338 1.31948 1.06549 0.90717 1.24831 0.95018 0.95842 0.97238 1.69893 1.16952 1.44879 1.22023 0.86890 0.81858 0.81827 0.79365 1.19987 1.19100 1.21133 1.19961 0.79735 0.86580 0.84409 1.90707 1.41221 1.19511 1.86466 1.22989 0.98169 0.88318 0.87444 0.87436 1.47647 1.60882 1.13596 1.13591 1.17119 0.77369 0.80134 0.81484 1.90950 1.47944 1.62162 1.42004 1.86259 1.75826 1.34214 1.31728 1.22025 0.92813 0.78642 0.96512 1.22520 1.00357 0.98660 1.02614 1.21835 1.03165 1.01225 0.93287 1.22510 0.94208 1.02629 1.04631 1.23191 0.93901 0.89167 0.94896 1.22248 0.94606 0.96630 0.94812 1.21558 0.93354 1.00033 1.03392 1.21739 1.02468 0.91913 1.03411 0.93107 0.91934 0.92075 0.91412 0.89569 0.95358 0.94808 0.92664 0.92184 0.91446 0.88891 0.91699 0.90280 0.91535 0.89333 0.91279 0.92432 0.89477 0.89788 0.90687 0.92024 0.91641 0.91918 0.91198 0.91036 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 -0.17 -2.26 10.08 37.16 0.37 -1.88 16 2 C 0.10 1.60 5.71 -4.04 -0.02 1.58 16 3 N -0.59 -12.39 2.46 -175.06 -0.43 -12.82 16 4 C 0.22 5.51 4.20 -5.19 -0.02 5.49 16 5 C -0.52 -15.06 9.94 -34.44 -0.34 -15.41 16 6 H 0.07 2.33 8.06 -52.49 -0.42 1.90 16 7 C 0.07 2.14 5.47 -17.82 -0.10 2.05 16 8 N -0.90 -27.85 13.96 55.43 0.77 -27.08 16 9 Si 0.87 22.18 27.47 -169.99 -4.67 17.51 16 10 H -0.27 -7.09 7.11 56.52 0.40 -6.69 16 11 H -0.27 -6.41 6.54 56.52 0.37 -6.04 16 12 H -0.29 -7.07 7.11 56.52 0.40 -6.66 16 13 C 0.51 10.73 5.55 -10.98 -0.06 10.67 16 14 O -0.51 -13.03 14.28 -6.88 -0.10 -13.13 16 15 C 0.14 2.13 2.88 -73.53 -0.21 1.92 16 16 H 0.11 1.41 5.94 -51.93 -0.31 1.10 16 17 N -0.61 -9.76 3.22 -184.49 -0.59 -10.36 16 18 C 0.68 12.27 7.86 54.06 0.43 12.69 16 19 O -0.54 -11.46 11.36 -24.14 -0.27 -11.74 16 20 O -0.36 -5.61 9.91 -40.31 -0.40 -6.01 16 21 C 0.14 1.77 1.13 -90.62 -0.10 1.67 16 22 C -0.18 -2.59 8.37 37.16 0.31 -2.28 16 23 C -0.14 -1.28 8.85 37.16 0.33 -0.95 16 24 C -0.18 -2.25 8.37 37.15 0.31 -1.94 16 25 C 0.11 1.25 7.75 -8.49 -0.07 1.18 16 26 C -0.08 -1.02 1.43 -153.99 -0.22 -1.24 16 27 C -0.13 -1.92 7.98 37.16 0.30 -1.62 16 28 C -0.14 -1.25 8.73 37.16 0.32 -0.92 16 29 H 0.05 0.67 7.37 -51.93 -0.38 0.29 16 30 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 31 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 32 H 0.07 0.85 4.96 -51.93 -0.26 0.59 16 33 H 0.09 1.38 8.09 -51.93 -0.42 0.96 16 34 H 0.03 0.68 7.13 -51.93 -0.37 0.31 16 35 H 0.03 0.94 6.93 -51.92 -0.36 0.58 16 36 H 0.26 7.66 8.31 -40.82 -0.34 7.32 16 37 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 38 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 39 H 0.09 1.68 5.88 -51.93 -0.31 1.37 16 40 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 41 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 42 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 43 H 0.09 1.37 5.88 -51.92 -0.31 1.06 16 44 H 0.07 0.70 8.14 -51.93 -0.42 0.27 16 45 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 46 H 0.09 0.72 8.00 -51.93 -0.42 0.31 16 47 H 0.08 0.87 8.12 -51.93 -0.42 0.45 16 48 H 0.07 1.42 7.38 -51.93 -0.38 1.03 16 49 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 50 H 0.06 1.14 7.79 -51.93 -0.40 0.73 16 51 H 0.06 0.43 7.99 -51.93 -0.41 0.01 16 52 H 0.07 0.54 8.14 -51.93 -0.42 0.11 16 53 H 0.07 0.72 7.14 -51.93 -0.37 0.35 16 LS Contribution 412.23 15.07 6.21 6.21 Total: -1.00 -36.98 412.23 -7.61 -44.59 By element: Atomic # 1 Polarization: 11.16 SS G_CDS: -9.36 Total: 1.80 kcal Atomic # 6 Polarization: 9.78 SS G_CDS: 1.23 Total: 11.01 kcal Atomic # 7 Polarization: -50.00 SS G_CDS: -0.25 Total: -50.25 kcal Atomic # 8 Polarization: -30.10 SS G_CDS: -0.77 Total: -30.88 kcal Atomic # 14 Polarization: 22.18 SS G_CDS: -4.67 Total: 17.51 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -36.98 -7.61 -44.59 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. ZINC000793154317.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 -26.810 kcal (2) G-P(sol) polarization free energy of solvation -36.982 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -63.792 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.612 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.594 kcal (6) G-S(sol) free energy of system = (1) + (5) -71.404 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds