Wall clock time and date at job start Sat Apr 11 2020 06:13:09 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 O 1.45201 * 1 3 3 C 1.34225 * 117.00501 * 2 1 4 4 O 1.20831 * 119.99624 * 0.02562 * 3 2 1 5 5 C 1.50696 * 120.00136 * 179.97438 * 3 2 1 6 6 C 1.52999 * 109.46953 * 180.02562 * 5 3 2 7 7 C 1.53006 * 109.47054 * 180.02562 * 6 5 3 8 8 H 1.08996 * 109.49339 * 304.99710 * 7 6 5 9 9 C 1.53039 * 109.49875 * 65.06447 * 7 6 5 10 10 C 1.53034 * 109.53763 * 181.28763 * 9 7 6 11 11 C 1.53191 * 109.33878 * 298.67967 * 10 9 7 12 12 N 1.46929 * 108.77704 * 54.62168 * 11 10 9 13 13 C 1.34778 * 120.63236 * 126.36521 * 12 11 10 14 14 O 1.21281 * 119.99998 * 180.02562 * 13 12 11 15 15 C 1.50695 * 119.99679 * 0.02921 * 13 12 11 16 16 H 1.09000 * 109.47674 * 319.99386 * 15 13 12 17 17 N 1.46903 * 109.47031 * 199.99645 * 15 13 12 18 18 C 1.52998 * 109.47370 * 79.99863 * 15 13 12 19 19 C 1.52998 * 109.47025 * 184.99525 * 18 15 13 20 20 C 1.53007 * 109.46947 * 179.97438 * 19 18 15 21 21 C 1.50702 * 109.46923 * 180.02562 * 20 19 18 22 22 H 1.08000 * 120.00479 * 0.02562 * 21 20 19 23 23 C 1.37878 * 119.99719 * 179.97438 * 21 20 19 24 24 N 1.31518 * 119.99969 * 180.02562 * 23 21 20 25 25 Si 1.86795 * 120.00147 * 0.02562 * 23 21 20 26 26 H 1.48502 * 109.47216 * 90.00040 * 25 23 21 27 27 H 1.48496 * 109.47434 * 210.00027 * 25 23 21 28 28 H 1.48499 * 109.47138 * 329.99708 * 25 23 21 29 29 C 1.46923 * 118.73714 * 306.39572 * 12 11 10 30 30 H 1.09001 * 109.46732 * 300.00013 * 1 2 3 31 31 H 1.09003 * 109.47075 * 59.99438 * 1 2 3 32 32 H 1.09000 * 109.47567 * 179.97438 * 1 2 3 33 33 H 1.09001 * 109.47093 * 60.00614 * 5 3 2 34 34 H 1.08995 * 109.47083 * 300.00174 * 5 3 2 35 35 H 1.08997 * 109.47394 * 59.99888 * 6 5 3 36 36 H 1.09004 * 109.47644 * 299.99960 * 6 5 3 37 37 H 1.09001 * 109.45915 * 301.33546 * 9 7 6 38 38 H 1.08995 * 109.45917 * 61.29745 * 9 7 6 39 39 H 1.09003 * 109.49934 * 178.71566 * 10 9 7 40 40 H 1.09000 * 109.49954 * 58.64608 * 10 9 7 41 41 H 1.09001 * 109.58966 * 294.83676 * 11 10 9 42 42 H 1.09005 * 109.70805 * 174.47461 * 11 10 9 43 43 H 1.00902 * 110.99743 * 300.00357 * 17 15 13 44 44 H 1.00903 * 111.00105 * 63.94887 * 17 15 13 45 45 H 1.08995 * 109.46830 * 304.99415 * 18 15 13 46 46 H 1.08998 * 109.47275 * 64.99938 * 18 15 13 47 47 H 1.09000 * 109.47684 * 299.99634 * 19 18 15 48 48 H 1.09000 * 109.47264 * 60.00017 * 19 18 15 49 49 H 1.08995 * 109.46963 * 299.99923 * 20 19 18 50 50 H 1.08998 * 109.47221 * 60.00494 * 20 19 18 51 51 H 0.96995 * 120.00196 * 179.97438 * 24 23 21 52 52 H 1.09005 * 109.58542 * 293.81490 * 29 12 11 53 53 H 1.09001 * 109.58825 * 173.39284 * 29 12 11 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 8 1.4520 0.0000 0.0000 3 6 2.0615 1.1959 0.0000 4 8 1.4034 2.2093 0.0005 5 6 3.5664 1.2747 0.0006 6 6 4.0002 2.7419 0.0011 7 6 5.5282 2.8219 0.0011 8 1 5.9223 2.2521 0.8425 9 6 6.0701 2.2417 -1.3073 10 6 7.5995 2.2919 -1.2948 11 6 8.0584 3.7493 -1.1848 12 7 7.4251 4.3568 -0.0064 13 6 8.1708 4.9676 0.9357 14 8 7.6361 5.4649 1.9041 15 6 9.6688 5.0326 0.7857 16 1 10.0364 4.0840 0.3944 17 7 10.2813 5.2922 2.0955 18 6 10.0362 6.1598 -0.1814 19 6 11.5457 6.1464 -0.4304 20 6 11.9129 7.2733 -1.3981 21 6 13.3997 7.2597 -1.6439 22 1 14.0205 6.5210 -1.1589 23 6 13.9672 8.1897 -2.4889 24 7 15.2647 8.1776 -2.7039 25 14 12.8934 9.4670 -3.3284 26 1 12.7962 10.6741 -2.4689 27 1 13.4938 9.8369 -4.6352 28 1 11.5364 8.9054 -3.5484 29 6 5.9636 4.2853 0.1259 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 3.9564 0.7804 -0.8892 34 1 3.9557 0.7807 0.8908 35 1 3.6102 3.2358 0.8910 36 1 3.6109 3.2363 -0.8889 37 1 5.7411 1.2076 -1.4098 38 1 5.6949 2.8268 -2.1469 39 1 7.9854 1.8576 -2.2171 40 1 7.9751 1.7268 -0.4417 41 1 7.7617 4.2945 -2.0808 42 1 9.1425 3.7862 -1.0767 43 1 9.9563 6.1668 2.4797 44 1 10.1071 4.5302 2.7336 45 1 9.5109 6.0143 -1.1252 46 1 9.7478 7.1179 0.2510 47 1 12.0711 6.2919 0.5134 48 1 11.8341 5.1883 -0.8628 49 1 11.3876 7.1273 -2.3419 50 1 11.6245 8.2316 -0.9661 51 1 15.6639 8.8316 -3.2986 52 1 5.4961 4.8742 -0.6633 53 1 5.6654 4.6735 1.0997 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 ZINC000877383354.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 06:13:09 Heat of formation + Delta-G solvation = -152.332368 kcal Electronic energy + Delta-G solvation = -29845.803182 eV Core-core repulsion = 25716.235296 eV Total energy + Delta-G solvation = -4129.567886 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -41.01273 -40.57127 -38.35241 -37.03269 -35.88381 -34.97934 -33.34683 -32.39451 -31.53064 -30.94491 -28.52082 -28.06588 -26.26943 -25.57628 -24.19618 -22.61361 -22.08727 -21.10136 -20.38754 -20.02598 -18.99748 -18.09887 -17.47240 -17.14615 -17.06303 -16.67191 -16.22856 -15.87364 -15.42549 -15.12318 -14.80300 -14.52958 -14.35724 -14.17319 -14.09211 -13.80780 -13.65773 -13.27563 -13.15192 -13.03984 -12.82617 -12.57693 -12.41275 -12.30905 -11.92997 -11.79282 -11.74205 -11.45013 -11.34205 -11.30926 -11.20799 -11.04434 -10.96023 -10.80907 -10.71459 -10.69613 -10.23912 -9.87417 -9.63942 -9.47338 -9.12717 -8.84550 -8.60411 -8.48269 -5.99063 -3.96123 1.72131 2.20209 2.50336 2.82069 3.34014 3.41105 3.44530 4.09326 4.20326 4.24090 4.43029 4.45401 4.49653 4.53467 4.60185 4.63149 4.66795 4.70227 4.84836 4.89446 4.99563 5.01791 5.06818 5.09567 5.16258 5.29259 5.30449 5.35280 5.37280 5.49594 5.52613 5.58707 5.62409 5.73026 5.78151 5.82098 5.90575 5.97846 5.99645 6.28357 6.30454 6.65667 6.78149 7.01960 7.03872 7.25021 7.25637 7.41597 7.47781 7.54776 7.86114 8.03251 8.61059 9.07463 9.64131 11.14597 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021229 B = 0.001812 C = 0.001762 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1318.633605 B =15447.841866 C =15886.405178 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.363 6.363 3 C 0.459 3.541 4 O -0.506 6.506 5 C -0.114 4.114 6 C -0.103 4.103 7 C -0.100 4.100 8 H 0.077 0.923 9 C -0.119 4.119 10 C -0.135 4.135 11 C 0.099 3.901 12 N -0.610 5.610 13 C 0.485 3.515 14 O -0.551 6.551 15 C 0.077 3.923 16 H 0.102 0.898 17 N -0.811 5.811 18 C -0.108 4.108 19 C -0.092 4.092 20 C -0.016 4.016 21 C -0.516 4.516 22 H 0.072 0.928 23 C 0.065 3.935 24 N -0.906 5.906 25 Si 0.879 3.121 26 H -0.278 1.278 27 H -0.289 1.289 28 H -0.266 1.266 29 C 0.114 3.886 30 H 0.063 0.937 31 H 0.063 0.937 32 H 0.101 0.899 33 H 0.109 0.891 34 H 0.107 0.893 35 H 0.076 0.924 36 H 0.076 0.924 37 H 0.068 0.932 38 H 0.067 0.933 39 H 0.080 0.920 40 H 0.068 0.932 41 H 0.073 0.927 42 H 0.095 0.905 43 H 0.350 0.650 44 H 0.338 0.662 45 H 0.063 0.937 46 H 0.062 0.938 47 H 0.069 0.931 48 H 0.051 0.949 49 H 0.012 0.988 50 H 0.009 0.991 51 H 0.262 0.738 52 H 0.067 0.933 53 H 0.091 0.909 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -27.859 -19.594 4.335 34.334 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 -0.059 4.059 2 O -0.279 6.279 3 C 0.302 3.698 4 O -0.394 6.394 5 C -0.151 4.151 6 C -0.141 4.141 7 C -0.119 4.119 8 H 0.096 0.904 9 C -0.157 4.157 10 C -0.174 4.174 11 C -0.023 4.023 12 N -0.343 5.343 13 C 0.272 3.728 14 O -0.429 6.429 15 C -0.038 4.038 16 H 0.120 0.880 17 N -0.340 5.340 18 C -0.146 4.146 19 C -0.129 4.129 20 C -0.053 4.053 21 C -0.554 4.554 22 H 0.090 0.910 23 C -0.136 4.136 24 N -0.545 5.545 25 Si 0.707 3.293 26 H -0.204 1.204 27 H -0.215 1.215 28 H -0.191 1.191 29 C -0.009 4.009 30 H 0.082 0.918 31 H 0.082 0.918 32 H 0.120 0.880 33 H 0.127 0.873 34 H 0.125 0.875 35 H 0.094 0.906 36 H 0.095 0.905 37 H 0.086 0.914 38 H 0.086 0.914 39 H 0.098 0.902 40 H 0.086 0.914 41 H 0.091 0.909 42 H 0.114 0.886 43 H 0.164 0.836 44 H 0.150 0.850 45 H 0.081 0.919 46 H 0.081 0.919 47 H 0.088 0.912 48 H 0.069 0.931 49 H 0.030 0.970 50 H 0.027 0.973 51 H 0.071 0.929 52 H 0.085 0.915 53 H 0.109 0.891 Dipole moment (debyes) X Y Z Total from point charges -27.510 -18.915 4.371 33.670 hybrid contribution -1.781 0.662 -0.258 1.918 sum -29.292 -18.252 4.113 34.757 Atomic orbital electron populations 1.23280 0.76192 1.03780 1.02646 1.86511 1.23612 1.33660 1.84139 1.23928 0.92409 0.81284 0.72211 1.90695 1.67333 1.36335 1.44999 1.21481 0.87080 1.00387 1.06154 1.21414 0.94639 0.93747 1.04286 1.21527 0.94423 0.96964 0.99011 0.90426 1.21679 0.95502 1.01263 0.97226 1.21926 0.96013 0.96420 1.03009 1.21921 0.99112 0.93292 0.88016 1.48209 1.06838 1.56438 1.22810 1.22535 0.91885 0.76699 0.81704 1.90659 1.74217 1.46885 1.31114 1.21770 0.86271 1.02140 0.93655 0.87996 1.59064 1.62332 1.08427 1.04132 1.21706 1.00167 0.96204 0.96542 1.21366 0.91036 0.99754 1.00782 1.19604 0.97386 0.93986 0.94353 1.21176 0.91162 1.15979 1.27095 0.90983 1.25041 0.94783 0.97416 0.96356 1.69920 1.10266 1.36524 1.37787 0.86788 0.81259 0.82228 0.79028 1.20389 1.21513 1.19120 1.21577 0.80320 0.95509 1.03523 0.91839 0.91834 0.88019 0.87290 0.87507 0.90566 0.90540 0.91355 0.91382 0.90184 0.91359 0.90861 0.88638 0.83604 0.84952 0.91873 0.91910 0.91227 0.93065 0.97014 0.97270 0.92860 0.91460 0.89050 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 0.03 0.17 10.56 101.05 1.07 1.24 16 2 O -0.36 -2.58 10.56 -39.25 -0.41 -2.99 16 3 C 0.46 3.58 7.96 36.00 0.29 3.86 16 4 O -0.51 -5.51 15.73 -18.75 -0.30 -5.81 16 5 C -0.11 -0.57 5.57 -27.89 -0.16 -0.72 16 6 C -0.10 -0.64 3.98 -26.73 -0.11 -0.75 16 7 C -0.10 -0.65 2.34 -90.50 -0.21 -0.86 16 8 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 9 C -0.12 -0.65 4.96 -26.69 -0.13 -0.79 16 10 C -0.14 -0.85 6.08 -26.62 -0.16 -1.01 16 11 C 0.10 0.84 5.59 -3.71 -0.02 0.82 16 12 N -0.61 -6.40 2.97 -172.77 -0.51 -6.91 16 13 C 0.48 6.41 6.94 -10.99 -0.08 6.34 16 14 O -0.55 -8.94 15.66 5.56 0.09 -8.85 16 15 C 0.08 1.01 2.30 -68.87 -0.16 0.85 16 16 H 0.10 1.19 6.54 -51.93 -0.34 0.85 16 17 N -0.81 -10.80 8.44 -5.65 -0.05 -10.85 16 18 C -0.11 -1.67 4.61 -26.73 -0.12 -1.79 16 19 C -0.09 -1.77 5.04 -26.73 -0.13 -1.90 16 20 C -0.02 -0.38 4.04 -27.88 -0.11 -0.49 16 21 C -0.52 -14.82 9.66 -34.44 -0.33 -15.15 16 22 H 0.07 2.22 7.99 -52.49 -0.42 1.80 16 23 C 0.06 1.90 5.47 -17.82 -0.10 1.81 16 24 N -0.91 -28.18 13.96 55.43 0.77 -27.41 16 25 Si 0.88 21.98 27.47 -169.99 -4.67 17.31 16 26 H -0.28 -6.87 7.11 56.52 0.40 -6.47 16 27 H -0.29 -7.14 7.11 56.52 0.40 -6.74 16 28 H -0.27 -6.37 6.54 56.52 0.37 -6.00 16 29 C 0.11 1.06 5.72 -3.71 -0.02 1.03 16 30 H 0.06 0.32 8.13 -51.93 -0.42 -0.11 16 31 H 0.06 0.31 8.13 -51.93 -0.42 -0.11 16 32 H 0.10 0.23 8.14 -51.93 -0.42 -0.19 16 33 H 0.11 0.37 6.54 -51.93 -0.34 0.03 16 34 H 0.11 0.40 8.14 -51.93 -0.42 -0.02 16 35 H 0.08 0.56 8.10 -51.93 -0.42 0.14 16 36 H 0.08 0.52 8.10 -51.93 -0.42 0.10 16 37 H 0.07 0.28 6.51 -51.93 -0.34 -0.06 16 38 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 39 H 0.08 0.42 8.14 -51.93 -0.42 0.00 16 40 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 41 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 42 H 0.10 0.84 5.18 -51.93 -0.27 0.57 16 43 H 0.35 4.85 8.58 -39.29 -0.34 4.52 16 44 H 0.34 3.93 9.06 -39.29 -0.36 3.57 16 45 H 0.06 0.91 7.20 -51.93 -0.37 0.53 16 46 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 47 H 0.07 1.42 7.75 -51.93 -0.40 1.02 16 48 H 0.05 0.96 8.14 -51.93 -0.42 0.54 16 49 H 0.01 0.27 7.20 -51.93 -0.37 -0.10 16 50 H 0.01 0.22 7.57 -51.93 -0.39 -0.18 16 51 H 0.26 7.62 8.31 -40.82 -0.34 7.29 16 52 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 53 H 0.09 1.02 7.00 -51.93 -0.36 0.65 16 LS Contribution 415.66 15.07 6.26 6.26 Total: -1.00 -35.38 415.66 -8.69 -44.07 By element: Atomic # 1 Polarization: 12.08 SS G_CDS: -9.39 Total: 2.70 kcal Atomic # 6 Polarization: -7.04 SS G_CDS: -0.49 Total: -7.53 kcal Atomic # 7 Polarization: -45.38 SS G_CDS: 0.21 Total: -45.17 kcal Atomic # 8 Polarization: -17.03 SS G_CDS: -0.62 Total: -17.65 kcal Atomic # 14 Polarization: 21.98 SS G_CDS: -4.67 Total: 17.31 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -35.38 -8.69 -44.07 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. ZINC000877383354.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 -108.261 kcal (2) G-P(sol) polarization free energy of solvation -35.379 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -143.640 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.693 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.072 kcal (6) G-S(sol) free energy of system = (1) + (5) -152.332 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds