Wall clock time and date at job start Sat Apr 11 2020 06:10:55 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 1.53001 * 1 3 3 C 1.53003 * 109.47392 * 2 1 4 4 H 1.09000 * 110.43498 * 52.30874 * 3 2 1 5 5 C 1.55230 * 110.47731 * 289.66798 * 3 2 1 6 6 C 1.54995 * 101.90229 * 220.45678 * 5 3 2 7 7 O 1.44392 * 103.63003 * 37.00830 * 6 5 3 8 8 C 1.43740 * 106.97345 * 319.86326 * 7 6 5 9 9 H 1.08996 * 109.87904 * 267.08269 * 8 7 6 10 10 C 1.50703 * 109.87588 * 146.08675 * 8 7 6 11 11 O 1.21286 * 120.00014 * 342.83973 * 10 8 7 12 12 N 1.34780 * 119.99913 * 162.84342 * 10 8 7 13 13 C 1.46918 * 120.63078 * 4.67312 * 12 10 8 14 14 C 1.52765 * 109.00742 * 233.58550 * 13 12 10 15 15 C 1.53047 * 109.38176 * 305.58749 * 14 13 12 16 16 N 1.46497 * 109.45953 * 181.26099 * 15 14 13 17 17 C 1.36933 * 119.99965 * 299.93250 * 16 15 14 18 18 H 1.08007 * 120.00244 * 324.47929 * 17 16 15 19 19 C 1.38817 * 120.00350 * 144.48365 * 17 16 15 20 20 N 1.31618 * 119.99385 * 336.60108 * 19 17 16 21 21 Si 1.86797 * 120.00256 * 156.60268 * 19 17 16 22 22 H 1.48491 * 109.47352 * 89.99928 * 21 19 17 23 23 H 1.48500 * 109.46998 * 209.99944 * 21 19 17 24 24 H 1.48496 * 109.47115 * 329.99785 * 21 19 17 25 25 C 1.46494 * 120.00116 * 119.92946 * 16 15 14 26 26 C 1.53008 * 109.47033 * 84.47752 * 25 16 15 27 27 O 1.42900 * 109.46843 * 65.00239 * 26 25 16 28 28 C 1.53041 * 109.53445 * 61.23809 * 15 14 13 29 29 C 1.46927 * 120.62610 * 184.95335 * 12 10 8 30 30 H 1.09000 * 109.46844 * 300.00190 * 1 2 3 31 31 H 1.08999 * 109.46752 * 59.99903 * 1 2 3 32 32 H 1.08995 * 109.47170 * 180.02562 * 1 2 3 33 33 H 1.08999 * 109.47579 * 239.99709 * 2 1 3 34 34 H 1.09003 * 109.46917 * 119.99610 * 2 1 3 35 35 H 1.09001 * 111.07579 * 102.28877 * 5 3 2 36 36 H 1.09003 * 110.91756 * 338.55476 * 5 3 2 37 37 H 1.08996 * 110.61950 * 278.43416 * 6 5 3 38 38 H 1.08999 * 110.61941 * 155.58814 * 6 5 3 39 39 H 1.09002 * 109.58466 * 353.41599 * 13 12 10 40 40 H 1.08995 * 109.59158 * 113.84472 * 13 12 10 41 41 H 1.09000 * 109.56398 * 185.55259 * 14 13 12 42 42 H 1.08999 * 109.36137 * 65.49692 * 14 13 12 43 43 H 1.08999 * 109.44620 * 301.22516 * 15 14 13 44 44 H 0.97009 * 119.99495 * 180.02562 * 20 19 17 45 45 H 1.08994 * 109.47579 * 204.47925 * 25 16 15 46 46 H 1.09005 * 109.47431 * 324.48062 * 25 16 15 47 47 H 1.08992 * 109.47312 * 184.99979 * 26 25 16 48 48 H 1.09001 * 109.46766 * 305.00229 * 26 25 16 49 49 H 0.96699 * 113.99737 * 180.02562 * 27 26 25 50 50 H 1.09007 * 109.49254 * 178.68109 * 28 15 14 51 51 H 1.08999 * 109.49472 * 58.59309 * 28 15 14 52 52 H 1.09002 * 109.58559 * 246.15628 * 29 12 10 53 53 H 1.08999 * 109.58981 * 6.43471 * 29 12 10 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 6 2.0401 1.4425 0.0000 4 1 1.5782 2.0095 0.8083 5 6 1.7597 2.1177 -1.3694 6 6 3.0641 2.9217 -1.6024 7 8 4.0947 2.0583 -1.0757 8 6 3.5753 1.4718 0.1294 9 1 3.8634 2.0760 0.9896 10 6 4.1062 0.0702 0.2872 11 8 4.5903 -0.5056 -0.6642 12 7 4.0429 -0.5435 1.4855 13 6 3.3684 0.0998 2.6212 14 6 4.3275 0.1439 3.8094 15 6 4.8410 -1.2681 4.1005 16 7 5.7375 -1.2324 5.2585 17 6 6.8740 -0.4694 5.2213 18 1 7.4258 -0.3671 4.2985 19 6 7.3169 0.1726 6.3696 20 7 6.4696 0.4466 7.3387 21 14 9.1155 0.6478 6.5393 22 1 9.3199 2.0143 5.9956 23 1 9.5009 0.6227 7.9732 24 1 9.9555 -0.3162 5.7841 25 6 5.4183 -2.0129 6.4564 26 6 5.9229 -3.4466 6.2805 27 8 7.3497 -3.4429 6.2008 28 6 5.6019 -1.7971 2.8826 29 6 4.6525 -1.8657 1.6824 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 1.8934 -0.5139 -0.8899 34 1 1.8933 -0.5138 0.8901 35 1 0.8982 2.7828 -1.3094 36 1 1.6187 1.3702 -2.1502 37 1 3.0368 3.8643 -1.0559 38 1 3.2199 3.1005 -2.6663 39 1 3.0805 1.1149 2.3479 40 1 2.4818 -0.4734 2.8921 41 1 3.8058 0.5291 4.6855 42 1 5.1686 0.7949 3.5709 43 1 3.9972 -1.9241 4.3146 44 1 6.7790 0.8956 8.1410 45 1 5.9008 -1.5618 7.3234 46 1 4.3386 -2.0236 6.6061 47 1 5.6082 -4.0497 7.1320 48 1 5.5089 -3.8676 5.3642 49 1 7.7396 -4.3206 6.0882 50 1 5.9873 -2.7936 3.0991 51 1 6.4310 -1.1279 2.6529 52 1 3.8726 -2.6026 1.8750 53 1 5.2092 -2.1482 0.7889 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 ZINC001098398315.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 06:10:55 Heat of formation + Delta-G solvation = -103.539937 kcal Electronic energy + Delta-G solvation = -32501.106479 eV Core-core repulsion = 28373.654391 eV Total energy + Delta-G solvation = -4127.452087 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -40.89618 -38.83728 -37.33837 -36.14353 -35.03994 -34.44794 -32.09772 -31.05160 -30.44930 -30.35395 -29.16877 -27.63955 -25.04175 -24.05052 -23.29341 -22.98402 -22.40625 -21.22879 -20.43438 -19.81902 -18.59969 -17.29674 -16.69074 -16.58748 -16.37281 -16.12662 -15.24909 -14.94715 -14.79276 -14.61877 -14.43888 -14.38980 -13.75296 -13.70114 -13.64430 -13.27830 -13.06925 -12.96814 -12.75751 -12.49710 -12.23617 -12.12953 -11.89371 -11.80670 -11.59136 -11.37660 -11.28716 -11.17836 -10.94519 -10.88387 -10.81948 -10.67077 -10.61741 -10.47054 -10.09659 -10.04816 -9.88421 -9.86051 -9.47849 -9.24596 -9.08504 -8.37096 -8.33085 -6.53171 -5.72080 -3.21323 2.68354 3.04718 3.44804 3.52108 3.59907 3.88693 4.17406 4.39990 4.47479 4.58095 4.78491 4.95314 4.99162 5.07908 5.13833 5.16485 5.22366 5.26205 5.28834 5.41916 5.43802 5.49654 5.52840 5.53483 5.58339 5.63607 5.70529 5.80042 5.81625 5.86150 5.93958 5.99861 6.01601 6.07173 6.13293 6.14793 6.27813 6.39485 6.45720 6.61942 6.62436 6.73324 6.79071 6.87864 7.11088 7.17881 7.60345 7.65442 7.92416 8.36355 8.45862 8.63449 9.26199 9.91349 10.45327 11.31306 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015051 B = 0.003298 C = 0.003053 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1859.884715 B = 8487.490152 C = 9169.950946 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.134 4.134 3 C -0.109 4.109 4 H 0.093 0.907 5 C -0.147 4.147 6 C 0.044 3.956 7 O -0.349 6.349 8 C 0.060 3.940 9 H 0.093 0.907 10 C 0.524 3.476 11 O -0.533 6.533 12 N -0.603 5.603 13 C 0.105 3.895 14 C -0.137 4.137 15 C 0.178 3.822 16 N -0.571 5.571 17 C -0.234 4.234 18 H 0.056 0.944 19 C 0.016 3.984 20 N -0.893 5.893 21 Si 0.893 3.107 22 H -0.291 1.291 23 H -0.292 1.292 24 H -0.279 1.279 25 C 0.145 3.855 26 C 0.059 3.941 27 O -0.544 6.544 28 C -0.139 4.139 29 C 0.116 3.884 30 H 0.055 0.945 31 H 0.053 0.947 32 H 0.055 0.945 33 H 0.069 0.931 34 H 0.080 0.920 35 H 0.082 0.918 36 H 0.080 0.920 37 H 0.063 0.937 38 H 0.094 0.906 39 H 0.074 0.926 40 H 0.066 0.934 41 H 0.073 0.927 42 H 0.072 0.928 43 H 0.046 0.954 44 H 0.251 0.749 45 H 0.102 0.898 46 H 0.035 0.965 47 H 0.019 0.981 48 H 0.022 0.978 49 H 0.349 0.651 50 H 0.066 0.934 51 H 0.068 0.932 52 H 0.060 0.940 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.696 -0.472 -11.291 17.757 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 -0.204 4.204 2 C -0.171 4.171 3 C -0.128 4.128 4 H 0.111 0.889 5 C -0.185 4.185 6 C -0.033 4.033 7 O -0.266 6.266 8 C -0.001 4.001 9 H 0.111 0.889 10 C 0.311 3.689 11 O -0.409 6.409 12 N -0.338 5.338 13 C -0.018 4.018 14 C -0.177 4.177 15 C 0.070 3.930 16 N -0.290 5.290 17 C -0.363 4.363 18 H 0.073 0.927 19 C -0.183 4.183 20 N -0.537 5.537 21 Si 0.723 3.277 22 H -0.218 1.218 23 H -0.218 1.218 24 H -0.204 1.204 25 C 0.019 3.981 26 C -0.022 4.022 27 O -0.345 6.345 28 C -0.179 4.179 29 C -0.006 4.006 30 H 0.074 0.926 31 H 0.072 0.928 32 H 0.074 0.926 33 H 0.087 0.913 34 H 0.098 0.902 35 H 0.101 0.899 36 H 0.099 0.901 37 H 0.081 0.919 38 H 0.113 0.887 39 H 0.092 0.908 40 H 0.084 0.916 41 H 0.092 0.908 42 H 0.091 0.909 43 H 0.064 0.936 44 H 0.061 0.939 45 H 0.120 0.880 46 H 0.054 0.946 47 H 0.037 0.963 48 H 0.040 0.960 49 H 0.192 0.808 50 H 0.085 0.915 51 H 0.087 0.913 52 H 0.078 0.922 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -13.291 -0.069 -11.641 17.668 hybrid contribution 0.837 -0.292 0.381 0.965 sum -12.454 -0.361 -11.260 16.793 Atomic orbital electron populations 1.21736 0.95220 1.01764 1.01713 1.21905 0.96484 0.94947 1.03801 1.22626 0.93079 0.98234 0.98855 0.88875 1.23300 0.98474 0.99791 0.96893 1.23605 0.86436 0.93283 0.99991 1.89001 1.37567 1.61070 1.39004 1.22799 0.93744 0.93249 0.90285 0.88899 1.20148 0.78669 0.87347 0.82710 1.90671 1.45320 1.66244 1.38687 1.48128 1.55994 1.19823 1.09876 1.21879 0.95748 0.97174 0.86995 1.22264 0.98835 1.00997 0.95576 1.20294 0.91405 0.93143 0.88111 1.43722 1.23313 1.50366 1.11593 1.18735 0.99202 1.22149 0.96253 0.92668 1.24944 0.97511 0.97311 0.98534 1.70016 1.32578 1.42449 1.08649 0.86460 0.86566 0.77823 0.76816 1.21833 1.21806 1.20406 1.20984 0.95907 0.87289 0.93963 1.23103 0.81512 1.01193 0.96364 1.86853 1.20025 1.31243 1.96388 1.22361 0.98809 1.02026 0.94705 1.21660 0.96400 0.82722 0.99864 0.92577 0.92804 0.92632 0.91262 0.90179 0.89909 0.90129 0.91907 0.88738 0.90762 0.91612 0.90799 0.90913 0.93573 0.93911 0.88049 0.94630 0.96313 0.95987 0.80772 0.91495 0.91301 0.92185 0.89816 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 19. 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 -1.18 9.79 37.16 0.36 -0.82 16 2 C -0.13 -1.38 4.13 -26.73 -0.11 -1.49 16 3 C -0.11 -1.08 2.32 -88.86 -0.21 -1.28 16 4 H 0.09 0.76 8.07 -51.93 -0.42 0.34 16 5 C -0.15 -1.26 6.06 -24.50 -0.15 -1.41 16 6 C 0.04 0.43 7.71 38.21 0.29 0.73 16 7 O -0.35 -5.19 10.79 -54.17 -0.58 -5.78 16 8 C 0.06 0.81 2.91 -27.31 -0.08 0.73 16 9 H 0.09 1.18 6.91 -51.93 -0.36 0.82 16 10 C 0.52 8.48 5.03 -10.98 -0.06 8.43 16 11 O -0.53 -10.58 16.04 -13.39 -0.21 -10.79 16 12 N -0.60 -8.99 2.22 -173.03 -0.38 -9.37 16 13 C 0.11 1.40 4.82 -3.93 -0.02 1.38 16 14 C -0.14 -2.40 5.29 -26.83 -0.14 -2.54 16 15 C 0.18 3.35 2.60 -67.89 -0.18 3.17 16 16 N -0.57 -13.14 2.33 -165.61 -0.39 -13.53 16 17 C -0.23 -6.15 8.03 -15.06 -0.12 -6.28 16 18 H 0.06 1.52 6.89 -52.48 -0.36 1.15 16 19 C 0.02 0.44 4.86 -17.43 -0.08 0.35 16 20 N -0.89 -25.13 11.54 55.49 0.64 -24.49 16 21 Si 0.89 22.29 29.61 -169.99 -5.03 17.26 16 22 H -0.29 -7.24 7.11 56.52 0.40 -6.83 16 23 H -0.29 -7.34 7.11 56.52 0.40 -6.94 16 24 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 25 C 0.15 3.24 5.57 -4.04 -0.02 3.21 16 26 C 0.06 1.12 7.39 37.16 0.27 1.39 16 27 O -0.54 -11.22 13.40 -35.23 -0.47 -11.70 16 28 C -0.14 -2.48 5.30 -26.61 -0.14 -2.62 16 29 C 0.12 1.78 6.42 -3.71 -0.02 1.76 16 30 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 31 H 0.05 0.39 7.63 -51.93 -0.40 -0.01 16 32 H 0.05 0.44 8.14 -51.93 -0.42 0.01 16 33 H 0.07 0.86 7.71 -51.93 -0.40 0.46 16 34 H 0.08 0.90 4.59 -51.93 -0.24 0.66 16 35 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.08 0.74 7.78 -51.93 -0.40 0.33 16 37 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 38 H 0.09 0.81 8.14 -51.93 -0.42 0.38 16 39 H 0.07 0.85 5.18 -51.93 -0.27 0.58 16 40 H 0.07 0.77 7.70 -51.93 -0.40 0.37 16 41 H 0.07 1.37 8.14 -51.93 -0.42 0.95 16 42 H 0.07 1.48 7.71 -51.93 -0.40 1.08 16 43 H 0.05 0.81 7.87 -51.93 -0.41 0.40 16 44 H 0.25 6.93 8.31 -40.82 -0.34 6.59 16 45 H 0.10 2.66 5.52 -51.93 -0.29 2.37 16 46 H 0.04 0.73 8.04 -51.93 -0.42 0.31 16 47 H 0.02 0.32 8.14 -51.93 -0.42 -0.11 16 48 H 0.02 0.39 8.14 -51.93 -0.42 -0.03 16 49 H 0.35 5.26 9.12 45.56 0.42 5.67 16 50 H 0.07 1.20 8.14 -51.92 -0.42 0.78 16 51 H 0.07 1.42 7.04 -51.93 -0.37 1.06 16 52 H 0.06 0.81 8.14 -51.93 -0.42 0.39 16 53 H 0.08 1.38 7.03 -51.93 -0.37 1.01 16 LS Contribution 399.99 15.07 6.03 6.03 Total: -1.00 -33.05 399.99 -9.24 -42.29 By element: Atomic # 1 Polarization: 13.78 SS G_CDS: -8.44 Total: 5.35 kcal Atomic # 6 Polarization: 5.12 SS G_CDS: -0.40 Total: 4.72 kcal Atomic # 7 Polarization: -47.26 SS G_CDS: -0.13 Total: -47.39 kcal Atomic # 8 Polarization: -26.99 SS G_CDS: -1.27 Total: -28.26 kcal Atomic # 14 Polarization: 22.29 SS G_CDS: -5.03 Total: 17.26 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -33.05 -9.24 -42.29 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. ZINC001098398315.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 -61.246 kcal (2) G-P(sol) polarization free energy of solvation -33.051 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.297 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.243 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.294 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.540 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds