Wall clock time and date at job start Wed Apr 1 2020 00:19:01 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 1.53009 * 1 3 3 H 1.08998 * 109.50698 * 2 1 4 4 C 1.53104 * 109.50546 * 120.13806 * 2 1 3 5 5 N 1.47016 * 109.28441 * 176.81116 * 4 2 1 6 6 C 1.46902 * 111.00111 * 177.59886 * 5 4 2 7 7 C 1.53006 * 109.46626 * 293.62368 * 6 5 4 8 8 C 1.50699 * 109.46866 * 179.97438 * 7 6 5 9 9 O 1.21282 * 120.00041 * 359.97438 * 8 7 6 10 10 N 1.34779 * 120.00037 * 180.02562 * 8 7 6 11 11 C 1.46499 * 119.99707 * 359.97438 * 10 8 7 12 12 C 1.46500 * 120.00169 * 180.02562 * 10 8 7 13 13 C 1.50702 * 109.46904 * 89.99597 * 12 10 8 14 14 H 1.07993 * 120.00490 * 0.02562 * 13 12 10 15 15 C 1.37881 * 119.99735 * 180.02562 * 13 12 10 16 16 N 1.31512 * 120.00050 * 359.97438 * 15 13 12 17 17 Si 1.86794 * 119.99825 * 180.02562 * 15 13 12 18 18 H 1.48498 * 109.47522 * 89.99831 * 17 15 13 19 19 H 1.48508 * 109.46941 * 209.99577 * 17 15 13 20 20 H 1.48502 * 109.47592 * 329.99302 * 17 15 13 21 21 C 1.47033 * 110.74485 * 301.36466 * 5 4 2 22 22 C 1.53011 * 109.24748 * 58.50529 * 21 5 4 23 23 C 1.53108 * 109.49666 * 63.24249 * 22 21 5 24 24 C 1.53190 * 109.02667 * 176.96291 * 23 22 21 25 25 C 1.53097 * 109.14140 * 303.09545 * 24 23 22 26 26 O 1.42895 * 109.45071 * 57.62696 * 25 24 23 27 27 C 1.42922 * 114.09713 * 298.84055 * 26 25 24 28 28 O 1.42925 * 109.41742 * 303.25804 * 22 21 5 29 29 H 1.08998 * 109.47093 * 180.10067 * 1 2 3 30 30 H 1.08997 * 109.46953 * 300.09906 * 1 2 3 31 31 H 1.08993 * 109.46965 * 60.09834 * 1 2 3 32 32 H 1.08994 * 109.50167 * 56.86775 * 4 2 1 33 33 H 1.09001 * 109.50147 * 296.74945 * 4 2 1 34 34 H 1.08993 * 109.47737 * 173.62500 * 6 5 4 35 35 H 1.09000 * 109.47263 * 53.62062 * 6 5 4 36 36 H 1.09000 * 109.47050 * 299.99824 * 7 6 5 37 37 H 1.09001 * 109.46801 * 59.99937 * 7 6 5 38 38 H 1.09002 * 109.47085 * 90.00762 * 11 10 8 39 39 H 1.09002 * 109.46740 * 210.00435 * 11 10 8 40 40 H 1.09001 * 109.47266 * 330.00158 * 11 10 8 41 41 H 1.08991 * 109.47410 * 209.99714 * 12 10 8 42 42 H 1.09007 * 109.47039 * 329.99988 * 12 10 8 43 43 H 0.97004 * 119.99848 * 180.02562 * 16 15 13 44 44 H 1.08998 * 109.51162 * 178.43601 * 21 5 4 45 45 H 1.08998 * 109.51346 * 298.57742 * 21 5 4 46 46 H 1.09004 * 109.54582 * 296.82517 * 23 22 21 47 47 H 1.08998 * 109.54638 * 57.00571 * 23 22 21 48 48 H 1.08998 * 109.52847 * 62.98965 * 24 23 22 49 49 H 1.08996 * 109.53003 * 183.19245 * 24 23 22 50 50 H 1.09004 * 109.47263 * 177.62459 * 25 24 23 51 51 H 1.08997 * 109.47521 * 297.62865 * 25 24 23 52 52 H 1.08996 * 109.47980 * 301.05816 * 27 26 25 53 53 H 1.09005 * 109.47836 * 181.02242 * 27 26 25 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 1.5301 0.0000 0.0000 3 1 1.8941 1.0274 0.0000 4 6 2.0413 -0.7246 1.2481 5 7 3.5094 -0.7889 1.2050 6 6 4.0441 -1.4278 2.4149 7 6 3.7611 -0.5395 3.6282 8 6 4.3091 -1.1953 4.8695 9 8 4.8702 -2.2676 4.7915 10 7 4.1747 -0.5905 6.0664 11 6 3.4964 0.7046 6.1606 12 6 4.7078 -1.2276 7.2731 13 6 6.1308 -0.7811 7.4900 14 1 6.5917 -0.0914 6.7985 15 6 6.8442 -1.2532 8.5713 16 7 6.2828 -2.0927 9.4137 17 14 8.6076 -0.6992 8.8406 18 1 8.6192 0.5240 9.6825 19 1 9.3664 -1.7775 9.5239 20 1 9.2394 -0.4037 7.5296 21 6 3.9648 -1.4885 -0.0053 22 6 3.4328 -0.7584 -1.2403 23 6 4.0234 0.6532 -1.2934 24 6 3.5443 1.3473 -2.5722 25 6 3.9462 0.5013 -3.7833 26 8 3.3882 -0.8080 -3.6553 27 6 3.8369 -1.5233 -2.5022 28 8 2.0078 -0.6761 -1.1664 29 1 -0.3633 -1.0276 0.0018 30 1 -0.3633 0.5154 0.8891 31 1 -0.3633 0.5123 -0.8908 32 1 1.6335 -1.7350 1.2749 33 1 1.7269 -0.1808 2.1389 34 1 5.1201 -1.5650 2.3082 35 1 3.5664 -2.3974 2.5552 36 1 4.2389 0.4301 3.4879 37 1 2.6851 -0.4024 3.7349 38 1 2.4308 0.5455 6.3261 39 1 3.9123 1.2729 6.9926 40 1 3.6414 1.2590 5.2334 41 1 4.1022 -0.9416 8.1329 42 1 4.6811 -2.3109 7.1541 43 1 6.7846 -2.4245 10.1746 44 1 5.0545 -1.5002 -0.0308 45 1 3.5892 -2.5117 0.0025 46 1 3.6909 1.2206 -0.4240 47 1 5.1118 0.5933 -1.2952 48 1 2.4598 1.4526 -2.5452 49 1 4.0051 2.3322 -2.6467 50 1 3.5711 0.9689 -4.6937 51 1 5.0327 0.4301 -3.8324 52 1 4.9218 -1.6227 -2.5354 53 1 3.3812 -2.5135 -2.4887 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 ZINC000366575180.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:19:01 Heat of formation + Delta-G solvation = -122.082279 kcal Electronic energy + Delta-G solvation = -31302.794796 eV Core-core repulsion = 27174.538653 eV Total energy + Delta-G solvation = -4128.256144 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.07 seconds Orbital eigenvalues (eV) -40.96816 -39.12692 -38.33743 -36.10339 -34.80006 -33.93984 -32.68658 -32.65897 -31.44201 -29.85240 -27.79503 -27.00518 -25.99669 -25.55607 -25.12029 -23.11106 -22.48450 -21.78788 -20.96809 -19.58302 -18.38235 -17.10540 -16.70957 -16.57234 -16.51350 -16.03698 -15.80862 -15.53389 -15.40880 -15.15766 -14.92600 -14.75566 -14.19054 -14.14014 -13.72476 -13.33574 -13.22399 -12.97082 -12.87180 -12.68410 -12.38655 -12.28311 -12.23054 -12.18826 -12.05424 -11.98081 -11.82496 -11.57221 -11.35699 -11.18571 -11.12003 -10.95476 -10.90295 -10.78245 -10.57606 -10.46196 -10.17041 -9.68213 -9.65152 -9.64044 -8.92038 -8.52003 -8.45064 -7.65806 -6.05692 -4.10483 3.22934 3.28701 3.34938 3.37463 3.43724 3.48110 3.71238 4.08517 4.36556 4.43252 4.44564 4.49803 4.61459 4.69553 4.81966 4.89625 4.95419 5.02312 5.09511 5.11363 5.15084 5.21096 5.26266 5.29075 5.32355 5.34700 5.40115 5.43197 5.49538 5.53713 5.59588 5.63577 5.69268 5.75823 5.77856 5.87069 5.90178 5.96033 6.02152 6.04762 6.05677 6.20564 6.78447 6.80127 6.87523 7.04228 7.07429 7.42649 7.52697 7.90675 8.22093 8.40474 8.88747 9.07988 9.54630 11.02410 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018774 B = 0.002276 C = 0.002158 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1491.059851 B =12301.472480 C =12972.886486 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C 0.086 3.914 3 H 0.068 0.932 4 C 0.018 3.982 5 N -0.534 5.534 6 C 0.073 3.927 7 C -0.134 4.134 8 C 0.504 3.496 9 O -0.545 6.545 10 N -0.603 5.603 11 C 0.084 3.916 12 C 0.245 3.755 13 C -0.526 4.526 14 H 0.057 0.943 15 C 0.060 3.940 16 N -0.895 5.895 17 Si 0.899 3.101 18 H -0.280 1.280 19 H -0.285 1.285 20 H -0.274 1.274 21 C 0.031 3.969 22 C 0.091 3.909 23 C -0.139 4.139 24 C -0.153 4.153 25 C 0.059 3.941 26 O -0.371 6.371 27 C 0.077 3.923 28 O -0.360 6.360 29 H 0.062 0.938 30 H 0.072 0.928 31 H 0.064 0.936 32 H 0.044 0.956 33 H 0.088 0.912 34 H 0.085 0.915 35 H 0.044 0.956 36 H 0.095 0.905 37 H 0.083 0.917 38 H 0.043 0.957 39 H 0.073 0.927 40 H 0.058 0.942 41 H 0.031 0.969 42 H 0.043 0.957 43 H 0.263 0.737 44 H 0.087 0.913 45 H 0.046 0.954 46 H 0.085 0.915 47 H 0.071 0.929 48 H 0.074 0.926 49 H 0.071 0.929 50 H 0.092 0.908 51 H 0.049 0.951 52 H 0.067 0.933 53 H 0.100 0.900 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.083 7.848 -23.861 27.067 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 -0.201 4.201 2 C 0.029 3.971 3 H 0.086 0.914 4 C -0.110 4.110 5 N -0.259 5.259 6 C -0.055 4.055 7 C -0.175 4.175 8 C 0.290 3.710 9 O -0.424 6.424 10 N -0.335 5.335 11 C -0.060 4.060 12 C 0.125 3.875 13 C -0.564 4.564 14 H 0.075 0.925 15 C -0.142 4.142 16 N -0.534 5.534 17 Si 0.726 3.274 18 H -0.206 1.206 19 H -0.211 1.211 20 H -0.199 1.199 21 C -0.097 4.097 22 C 0.051 3.949 23 C -0.176 4.176 24 C -0.190 4.190 25 C -0.018 4.018 26 O -0.289 6.289 27 C 0.000 4.000 28 O -0.279 6.279 29 H 0.081 0.919 30 H 0.091 0.909 31 H 0.083 0.917 32 H 0.062 0.938 33 H 0.106 0.894 34 H 0.103 0.897 35 H 0.062 0.938 36 H 0.113 0.887 37 H 0.101 0.899 38 H 0.062 0.938 39 H 0.092 0.908 40 H 0.077 0.923 41 H 0.049 0.951 42 H 0.061 0.939 43 H 0.073 0.927 44 H 0.106 0.894 45 H 0.064 0.936 46 H 0.103 0.897 47 H 0.090 0.910 48 H 0.093 0.907 49 H 0.090 0.910 50 H 0.110 0.890 51 H 0.067 0.933 52 H 0.085 0.915 53 H 0.118 0.882 Dipole moment (debyes) X Y Z Total from point charges -9.822 7.498 -23.990 26.985 hybrid contribution 1.052 -0.172 0.949 1.428 sum -8.770 7.327 -23.041 25.719 Atomic orbital electron populations 1.21735 0.92832 1.02986 1.02560 1.22179 0.94639 0.95942 0.84388 0.91419 1.22914 0.88215 1.00474 0.99390 1.62189 1.08642 1.52922 1.02135 1.21831 1.01158 0.95196 0.87294 1.21630 1.02054 1.00781 0.92988 1.20278 0.80334 0.85780 0.84566 1.90667 1.43461 1.22221 1.86026 1.48163 1.56038 1.20399 1.08921 1.21637 0.96092 0.85976 1.02343 1.19285 0.93605 0.94586 0.79991 1.21427 0.97803 1.27504 1.09710 0.92495 1.24948 0.98486 0.94935 0.95824 1.69934 1.37317 1.31688 1.14477 0.86489 0.84431 0.78196 0.78259 1.20634 1.21075 1.19890 1.22642 1.01221 0.96055 0.89807 1.22105 0.82189 0.95762 0.94832 1.22062 1.00900 0.95909 0.98751 1.22133 1.02675 0.99093 0.95132 1.22602 0.97390 0.83482 0.98322 1.87980 1.69814 1.27748 1.43390 1.22523 0.98810 0.95461 0.83207 1.88064 1.19411 1.77990 1.42434 0.91887 0.90912 0.91654 0.93821 0.89374 0.89675 0.93752 0.88703 0.89877 0.93846 0.90809 0.92344 0.95057 0.93890 0.92712 0.89431 0.93598 0.89695 0.90988 0.90690 0.91009 0.88989 0.93318 0.91481 0.88206 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 -0.14 -1.12 9.57 37.16 0.36 -0.76 16 2 C 0.09 0.82 3.03 -26.67 -0.08 0.74 16 3 H 0.07 0.64 6.43 -51.93 -0.33 0.30 16 4 C 0.02 0.19 4.72 -3.71 -0.02 0.17 16 5 N -0.53 -6.02 4.16 -234.34 -0.97 -7.00 16 6 C 0.07 1.00 4.25 -3.82 -0.02 0.99 16 7 C -0.13 -1.92 4.19 -27.88 -0.12 -2.03 16 8 C 0.50 10.31 7.67 -10.99 -0.08 10.22 16 9 O -0.55 -13.59 15.56 5.56 0.09 -13.50 16 10 N -0.60 -12.73 2.86 -182.95 -0.52 -13.25 16 11 C 0.08 1.30 10.24 59.85 0.61 1.91 16 12 C 0.24 6.43 5.16 -5.19 -0.03 6.40 16 13 C -0.53 -14.96 9.39 -34.44 -0.32 -15.29 16 14 H 0.06 1.62 7.81 -52.49 -0.41 1.21 16 15 C 0.06 1.72 5.46 -17.82 -0.10 1.63 16 16 N -0.90 -26.70 13.29 55.43 0.74 -25.97 16 17 Si 0.90 21.89 29.54 -169.99 -5.02 16.87 16 18 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 19 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 20 H -0.27 -6.65 7.11 56.52 0.40 -6.25 16 21 C 0.03 0.32 4.35 -3.75 -0.02 0.31 16 22 C 0.09 0.88 0.71 -90.56 -0.06 0.82 16 23 C -0.14 -1.22 4.40 -26.58 -0.12 -1.34 16 24 C -0.15 -1.20 5.98 -26.58 -0.16 -1.36 16 25 C 0.06 0.46 6.84 37.21 0.25 0.71 16 26 O -0.37 -3.86 10.70 -42.60 -0.46 -4.32 16 27 C 0.08 0.70 5.81 37.16 0.22 0.92 16 28 O -0.36 -3.98 9.34 -42.60 -0.40 -4.37 16 29 H 0.06 0.52 8.14 -51.93 -0.42 0.09 16 30 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 31 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.09 0.83 6.38 -51.93 -0.33 0.50 16 34 H 0.08 1.28 8.00 -51.93 -0.42 0.87 16 35 H 0.04 0.67 8.08 -51.93 -0.42 0.25 16 36 H 0.09 1.26 7.40 -51.93 -0.38 0.87 16 37 H 0.08 1.01 6.48 -51.93 -0.34 0.68 16 38 H 0.04 0.58 8.14 -51.93 -0.42 0.15 16 39 H 0.07 1.19 8.07 -51.93 -0.42 0.77 16 40 H 0.06 0.74 6.44 -51.93 -0.33 0.40 16 41 H 0.03 0.83 8.07 -51.93 -0.42 0.41 16 42 H 0.04 1.28 7.42 -51.93 -0.39 0.89 16 43 H 0.26 7.40 8.31 -40.82 -0.34 7.06 16 44 H 0.09 0.85 8.09 -51.93 -0.42 0.43 16 45 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.08 0.82 6.07 -51.93 -0.32 0.50 16 47 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 48 H 0.07 0.67 7.83 -51.93 -0.41 0.27 16 49 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 50 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 51 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 52 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 53 H 0.10 0.88 8.14 -51.93 -0.42 0.45 16 LS Contribution 407.11 15.07 6.14 6.14 Total: -1.00 -33.96 407.11 -9.63 -43.59 By element: Atomic # 1 Polarization: 7.32 SS G_CDS: -9.54 Total: -2.22 kcal Atomic # 6 Polarization: 3.72 SS G_CDS: 0.32 Total: 4.04 kcal Atomic # 7 Polarization: -45.46 SS G_CDS: -0.76 Total: -46.22 kcal Atomic # 8 Polarization: -21.43 SS G_CDS: -0.77 Total: -22.20 kcal Atomic # 14 Polarization: 21.89 SS G_CDS: -5.02 Total: 16.87 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -33.96 -9.63 -43.59 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. ZINC000366575180.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 -78.492 kcal (2) G-P(sol) polarization free energy of solvation -33.956 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.449 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.634 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.590 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.082 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds