Wall clock time and date at job start Sat Apr 11 2020 06:10:59 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 1.53004 * 1 3 3 C 1.52998 * 109.47152 * 2 1 4 4 C 1.52998 * 109.46757 * 179.97438 * 3 2 1 5 5 O 1.42906 * 109.46856 * 180.02562 * 4 3 2 6 6 C 1.42902 * 113.99749 * 180.02562 * 5 4 3 7 7 H 1.08997 * 109.47079 * 30.00379 * 6 5 4 8 8 C 1.52997 * 109.47402 * 269.99948 * 6 5 4 9 9 C 1.50702 * 109.46544 * 149.99838 * 6 5 4 10 10 O 1.21270 * 120.00625 * 5.00124 * 9 6 5 11 11 N 1.34778 * 119.99682 * 184.99731 * 9 6 5 12 12 C 1.47486 * 125.66421 * 0.02946 * 11 9 6 13 13 C 1.55025 * 104.89720 * 155.94394 * 12 11 9 14 14 C 1.54522 * 101.53139 * 36.37672 * 13 12 11 15 15 C 1.47188 * 125.66417 * 179.97438 * 11 9 6 16 16 C 1.52512 * 110.05556 * 206.90583 * 14 13 12 17 17 N 1.47313 * 108.39797 * 287.92797 * 16 14 13 18 18 C 1.36939 * 121.06059 * 130.59582 * 17 16 14 19 19 H 1.08002 * 119.99899 * 205.76510 * 18 17 16 20 20 C 1.38809 * 120.00198 * 25.76692 * 18 17 16 21 21 N 1.31617 * 120.00028 * 16.74866 * 20 18 17 22 22 Si 1.86803 * 119.99996 * 196.74927 * 20 18 17 23 23 H 1.48498 * 109.47029 * 0.02562 * 22 20 18 24 24 H 1.48500 * 109.47116 * 119.99933 * 22 20 18 25 25 H 1.48496 * 109.47000 * 240.00127 * 22 20 18 26 26 C 1.47157 * 117.87239 * 310.62028 * 17 16 14 27 27 C 1.53275 * 108.56007 * 51.10997 * 26 17 16 28 28 O 1.42068 * 110.32699 * 83.93941 * 14 13 12 29 29 H 1.08996 * 109.46819 * 299.99671 * 1 2 3 30 30 H 1.09000 * 109.46876 * 59.99600 * 1 2 3 31 31 H 1.08998 * 109.47291 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.46801 * 239.99835 * 2 1 3 33 33 H 1.09000 * 109.46876 * 120.00400 * 2 1 3 34 34 H 1.09003 * 109.46674 * 60.00254 * 3 2 1 35 35 H 1.08997 * 109.47425 * 300.00502 * 3 2 1 36 36 H 1.09003 * 109.47106 * 60.00782 * 4 3 2 37 37 H 1.08997 * 109.47778 * 300.00549 * 4 3 2 38 38 H 1.08992 * 109.47264 * 180.02562 * 8 6 5 39 39 H 1.09003 * 109.46682 * 300.00162 * 8 6 5 40 40 H 1.09004 * 109.47176 * 59.99815 * 8 6 5 41 41 H 1.08998 * 110.35267 * 37.09036 * 12 11 9 42 42 H 1.09002 * 110.35306 * 274.79709 * 12 11 9 43 43 H 1.09002 * 111.01232 * 154.43666 * 13 12 11 44 44 H 1.08999 * 111.01741 * 278.31558 * 13 12 11 45 45 H 1.08995 * 109.90990 * 300.91384 * 15 11 9 46 46 H 1.08998 * 109.90663 * 61.99477 * 15 11 9 47 47 H 1.09003 * 109.67749 * 47.65219 * 16 14 13 48 48 H 1.08991 * 109.68348 * 168.19904 * 16 14 13 49 49 H 0.97002 * 120.00036 * 179.97438 * 21 20 18 50 50 H 1.09002 * 109.62386 * 291.38443 * 26 17 16 51 51 H 1.09005 * 109.77718 * 170.92234 * 26 17 16 52 52 H 1.09001 * 109.50966 * 187.19635 * 27 26 17 53 53 H 1.08997 * 109.51471 * 67.03643 * 27 26 17 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 2.0400 1.4425 0.0000 4 6 3.5700 1.4424 0.0006 5 8 4.0464 2.7897 0.0012 6 6 5.4710 2.9024 0.0013 7 1 5.9034 2.0442 -0.5130 8 6 5.9794 2.9420 1.4438 9 6 5.8745 4.1690 -0.7086 10 8 5.0262 4.9476 -1.0892 11 7 7.1784 4.4366 -0.9205 12 6 8.3089 3.5815 -0.5131 13 6 9.4635 3.9625 -1.4749 14 6 9.2394 5.4825 -1.6397 15 6 7.7105 5.6302 -1.5977 16 6 9.7861 5.9489 -2.9849 17 7 11.2577 5.9238 -2.9227 18 6 11.9962 5.3208 -3.9056 19 1 12.9815 4.9386 -3.6831 20 6 11.4786 5.2008 -5.1880 21 7 10.4491 5.9350 -5.5535 22 14 12.2430 3.9974 -6.3950 23 1 13.3788 3.2970 -5.7434 24 1 11.2236 3.0024 -6.8146 25 1 12.7338 4.7357 -7.5863 26 6 11.9085 6.5670 -1.7703 27 6 11.2662 6.0317 -0.4857 28 8 9.8463 6.1900 -0.5676 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8933 -0.5139 -0.8900 33 1 1.8933 -0.5139 0.8900 34 1 1.6767 1.9562 0.8901 35 1 1.6767 1.9564 -0.8899 36 1 3.9337 0.9285 -0.8892 37 1 3.9331 0.9286 0.8907 38 1 7.0659 3.0285 1.4438 39 1 5.5470 3.8004 1.9579 40 1 5.6874 2.0259 1.9572 41 1 8.0497 2.5293 -0.6301 42 1 8.5903 3.7912 0.5189 43 1 10.4334 3.7573 -1.0217 44 1 9.3631 3.4468 -2.4299 45 1 7.3152 5.6886 -2.6118 46 1 7.4367 6.5261 -1.0406 47 1 9.4406 5.2801 -3.7733 48 1 9.4445 6.9637 -3.1881 49 1 10.0876 5.8514 -6.4497 50 1 11.7694 7.6467 -1.8268 51 1 12.9736 6.3348 -1.7712 52 1 11.6458 6.5890 0.3707 53 1 11.5086 4.9753 -0.3703 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 ZINC001755400889.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 06:10:59 Heat of formation + Delta-G solvation = -101.961008 kcal Electronic energy + Delta-G solvation = -31268.143861 eV Core-core repulsion = 27140.760241 eV Total energy + Delta-G solvation = -4127.383620 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.04 seconds Orbital eigenvalues (eV) -40.41475 -39.16443 -37.83221 -36.08481 -35.27994 -34.50307 -32.37290 -31.34539 -30.81084 -29.56835 -29.11136 -27.45145 -25.97912 -24.53321 -23.66387 -23.23900 -22.37638 -21.49840 -21.29448 -19.34368 -18.85130 -17.33901 -17.20349 -16.75369 -16.26585 -15.89929 -15.63826 -15.24353 -14.98577 -14.69276 -14.44148 -14.31210 -14.10604 -13.74864 -13.58656 -13.43974 -13.36019 -12.92229 -12.79060 -12.67275 -12.51072 -12.38293 -12.19060 -12.15893 -11.93090 -11.53390 -11.41106 -11.34750 -11.15690 -11.11952 -10.99052 -10.95691 -10.90105 -10.72087 -10.31256 -10.29958 -10.01783 -9.98653 -9.58817 -9.44935 -9.08430 -8.58364 -8.48205 -6.80123 -5.89123 -3.32011 2.70418 2.74256 3.29776 3.38072 3.39868 3.65856 4.16252 4.37563 4.44586 4.59109 4.65683 4.73757 4.77172 4.82216 4.86057 4.98788 5.01042 5.09915 5.22242 5.28423 5.29427 5.34111 5.42780 5.44868 5.50094 5.52893 5.53782 5.60084 5.63506 5.74673 5.79694 5.81658 5.90340 5.94026 5.95208 6.00224 6.04250 6.12180 6.24219 6.29999 6.42271 6.46942 6.58862 6.74842 6.94766 7.01883 7.40483 7.63184 7.66953 7.87172 8.27072 8.29361 9.05636 9.68895 10.26118 11.19234 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014565 B = 0.002543 C = 0.002312 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1921.961581 B =11007.201044 C =12107.133604 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.122 4.122 3 C -0.119 4.119 4 C 0.059 3.941 5 O -0.357 6.357 6 C 0.077 3.923 7 H 0.084 0.916 8 C -0.173 4.173 9 C 0.528 3.472 10 O -0.523 6.523 11 N -0.612 5.612 12 C 0.098 3.902 13 C -0.145 4.145 14 C 0.086 3.914 15 C 0.127 3.873 16 C 0.163 3.837 17 N -0.592 5.592 18 C -0.253 4.253 19 H 0.070 0.930 20 C 0.003 3.997 21 N -0.902 5.902 22 Si 0.902 3.098 23 H -0.277 1.277 24 H -0.288 1.288 25 H -0.289 1.289 26 C 0.109 3.891 27 C 0.046 3.954 28 O -0.377 6.377 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.054 0.946 32 H 0.063 0.937 33 H 0.062 0.938 34 H 0.071 0.929 35 H 0.073 0.927 36 H 0.049 0.951 37 H 0.049 0.951 38 H 0.077 0.923 39 H 0.070 0.930 40 H 0.067 0.933 41 H 0.070 0.930 42 H 0.071 0.929 43 H 0.089 0.911 44 H 0.087 0.913 45 H 0.086 0.914 46 H 0.076 0.924 47 H 0.098 0.902 48 H 0.030 0.970 49 H 0.255 0.745 50 H 0.026 0.974 51 H 0.063 0.937 52 H 0.083 0.917 53 H 0.048 0.952 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.030 -11.469 14.203 20.829 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 -0.209 4.209 2 C -0.159 4.159 3 C -0.157 4.157 4 C -0.018 4.018 5 O -0.276 6.276 6 C 0.016 3.984 7 H 0.102 0.898 8 C -0.231 4.231 9 C 0.315 3.685 10 O -0.398 6.398 11 N -0.347 5.347 12 C -0.024 4.024 13 C -0.183 4.183 14 C 0.044 3.956 15 C 0.005 3.995 16 C 0.037 3.963 17 N -0.316 5.316 18 C -0.382 4.382 19 H 0.087 0.913 20 C -0.196 4.196 21 N -0.546 5.546 22 Si 0.732 3.268 23 H -0.202 1.202 24 H -0.215 1.215 25 H -0.216 1.216 26 C -0.018 4.018 27 C -0.032 4.032 28 O -0.296 6.296 29 H 0.074 0.926 30 H 0.075 0.925 31 H 0.074 0.926 32 H 0.082 0.918 33 H 0.081 0.919 34 H 0.090 0.910 35 H 0.092 0.908 36 H 0.068 0.932 37 H 0.067 0.933 38 H 0.095 0.905 39 H 0.089 0.911 40 H 0.086 0.914 41 H 0.089 0.911 42 H 0.089 0.911 43 H 0.108 0.892 44 H 0.106 0.894 45 H 0.104 0.896 46 H 0.094 0.906 47 H 0.116 0.884 48 H 0.048 0.952 49 H 0.066 0.934 50 H 0.044 0.956 51 H 0.081 0.919 52 H 0.101 0.899 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -10.879 -10.787 13.959 20.726 hybrid contribution 0.849 -0.947 -0.861 1.536 sum -10.030 -11.734 13.098 20.245 Atomic orbital electron populations 1.21753 0.95384 1.01666 1.02128 1.21445 0.96301 0.96016 1.02170 1.21540 0.93209 0.97186 1.03721 1.22645 0.95443 0.83615 1.00086 1.88035 1.18488 1.26091 1.94948 1.21793 0.83400 0.96484 0.96723 0.89843 1.22287 1.02328 1.03506 0.94933 1.19932 0.80987 0.87705 0.79885 1.90714 1.49293 1.49136 1.50703 1.48510 1.04747 1.23363 1.58127 1.22518 0.86713 0.94109 0.99110 1.23205 0.97761 0.97239 1.00060 1.22641 0.90854 0.90771 0.91285 1.21792 0.91705 0.87790 0.98206 1.21208 0.83804 1.00161 0.91157 1.44073 1.00830 1.64212 1.22475 1.19197 1.00587 1.30352 0.88066 0.91278 1.25040 0.98850 0.99114 0.96618 1.70017 1.26689 1.39056 1.18838 0.86225 0.78581 0.80844 0.81145 1.20239 1.21495 1.21634 1.21588 0.96539 0.95744 0.87917 1.23108 0.81188 0.99999 0.98876 1.87678 1.20521 1.71340 1.50057 0.92602 0.92516 0.92647 0.91803 0.91894 0.91027 0.90847 0.93227 0.93264 0.90456 0.91099 0.91398 0.91127 0.91088 0.89230 0.89437 0.89602 0.90584 0.88403 0.95187 0.93445 0.95560 0.91901 0.89909 0.93383 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 -0.15 -0.95 9.91 37.16 0.37 -0.58 16 2 C -0.12 -0.82 5.93 -26.73 -0.16 -0.98 16 3 C -0.12 -1.05 5.58 -26.73 -0.15 -1.20 16 4 C 0.06 0.57 5.75 37.16 0.21 0.79 16 5 O -0.36 -4.90 9.53 -55.09 -0.52 -5.42 16 6 C 0.08 0.97 2.49 -27.88 -0.07 0.90 16 7 H 0.08 0.87 7.26 -51.93 -0.38 0.49 16 8 C -0.17 -1.72 9.39 37.16 0.35 -1.37 16 9 C 0.53 8.75 7.24 -10.98 -0.08 8.67 16 10 O -0.52 -10.88 16.84 -14.30 -0.24 -11.12 16 11 N -0.61 -9.66 3.33 -170.68 -0.57 -10.23 16 12 C 0.10 1.28 5.35 -2.43 -0.01 1.26 16 13 C -0.14 -2.30 5.91 -24.86 -0.15 -2.45 16 14 C 0.09 1.59 0.83 -89.73 -0.07 1.52 16 15 C 0.13 2.28 6.24 -3.32 -0.02 2.26 16 16 C 0.16 3.71 3.95 -3.85 -0.02 3.70 16 17 N -0.59 -13.98 2.95 -172.18 -0.51 -14.49 16 18 C -0.25 -6.53 9.66 -15.06 -0.15 -6.68 16 19 H 0.07 1.75 7.88 -52.49 -0.41 1.34 16 20 C 0.00 0.07 4.96 -17.43 -0.09 -0.02 16 21 N -0.90 -25.27 11.12 55.49 0.62 -24.65 16 22 Si 0.90 20.82 29.59 -169.99 -5.03 15.80 16 23 H -0.28 -6.22 7.11 56.52 0.40 -5.82 16 24 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 25 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 26 C 0.11 2.15 6.71 -3.54 -0.02 2.13 16 27 C 0.05 0.76 6.76 37.30 0.25 1.02 16 28 O -0.38 -6.92 10.23 -35.23 -0.36 -7.28 16 29 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 30 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 32 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 33 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 34 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 35 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 36 H 0.05 0.45 8.08 -51.93 -0.42 0.03 16 37 H 0.05 0.39 7.87 -51.93 -0.41 -0.02 16 38 H 0.08 0.70 5.56 -51.93 -0.29 0.41 16 39 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 40 H 0.07 0.53 7.87 -51.93 -0.41 0.12 16 41 H 0.07 0.74 7.33 -51.93 -0.38 0.36 16 42 H 0.07 0.85 7.16 -51.93 -0.37 0.47 16 43 H 0.09 1.39 5.98 -51.93 -0.31 1.08 16 44 H 0.09 1.51 7.86 -51.93 -0.41 1.10 16 45 H 0.09 1.63 7.79 -51.93 -0.40 1.22 16 46 H 0.08 1.40 8.07 -51.93 -0.42 0.98 16 47 H 0.10 2.46 5.96 -51.93 -0.31 2.15 16 48 H 0.03 0.75 8.14 -51.93 -0.42 0.33 16 49 H 0.26 6.96 8.31 -40.82 -0.34 6.62 16 50 H 0.03 0.55 8.14 -51.93 -0.42 0.12 16 51 H 0.06 1.17 7.96 -51.93 -0.41 0.76 16 52 H 0.08 1.15 8.14 -51.93 -0.42 0.72 16 53 H 0.05 0.76 6.13 -51.93 -0.32 0.44 16 LS Contribution 408.21 15.07 6.15 6.15 Total: -1.00 -31.80 408.21 -9.70 -41.50 By element: Atomic # 1 Polarization: 10.22 SS G_CDS: -9.44 Total: 0.78 kcal Atomic # 6 Polarization: 8.76 SS G_CDS: 0.20 Total: 8.96 kcal Atomic # 7 Polarization: -48.91 SS G_CDS: -0.46 Total: -49.37 kcal Atomic # 8 Polarization: -22.69 SS G_CDS: -1.13 Total: -23.82 kcal Atomic # 14 Polarization: 20.82 SS G_CDS: -5.03 Total: 15.80 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -31.80 -9.70 -41.50 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. ZINC001755400889.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 -60.460 kcal (2) G-P(sol) polarization free energy of solvation -31.800 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -92.261 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.700 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.501 kcal (6) G-S(sol) free energy of system = (1) + (5) -101.961 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds