Wall clock time and date at job start Tue Mar 31 2020 23:41:13 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 1.42895 * 1 3 3 C 1.42902 * 114.00044 * 2 1 4 4 C 1.52997 * 109.47200 * 179.97438 * 3 2 1 5 5 C 1.50699 * 109.61796 * 300.22360 * 4 3 2 6 6 O 1.21284 * 120.00197 * 239.77454 * 5 4 3 7 7 N 1.34778 * 119.99809 * 59.77719 * 5 4 3 8 8 C 1.46497 * 120.00063 * 179.97438 * 7 5 4 9 9 H 1.08996 * 109.46013 * 34.97483 * 8 7 5 10 10 C 1.53042 * 109.46333 * 275.00006 * 8 7 5 11 11 C 1.53190 * 109.31577 * 178.61037 * 10 8 7 12 12 N 1.46934 * 108.77017 * 54.63607 * 11 10 8 13 13 C 1.36939 * 120.62558 * 126.41140 * 12 11 10 14 14 H 1.07997 * 120.00245 * 207.67123 * 13 12 11 15 15 C 1.38822 * 120.00232 * 27.68111 * 13 12 11 16 16 N 1.31622 * 119.99541 * 17.35109 * 15 13 12 17 17 Si 1.86795 * 119.99800 * 197.35320 * 15 13 12 18 18 H 1.48492 * 109.47128 * 89.99986 * 17 15 13 19 19 H 1.48502 * 109.46567 * 209.99883 * 17 15 13 20 20 H 1.48496 * 109.47280 * 329.99268 * 17 15 13 21 21 C 1.46920 * 118.74256 * 306.38966 * 12 11 10 22 22 H 1.08993 * 109.58839 * 173.54021 * 21 12 11 23 23 C 1.53003 * 109.58824 * 293.82508 * 21 12 11 24 24 C 1.53046 * 109.46197 * 154.93290 * 8 7 5 25 25 C 1.53180 * 109.54305 * 180.02562 * 4 3 2 26 26 C 1.53102 * 109.21437 * 183.12237 * 25 4 3 27 27 O 1.43032 * 109.33991 * 57.57787 * 26 25 4 28 28 C 1.42903 * 114.13702 * 298.87832 * 27 26 25 29 29 C 1.53095 * 109.41387 * 61.16290 * 28 27 26 30 30 H 1.08996 * 109.47017 * 180.02562 * 1 2 3 31 31 H 1.09004 * 109.46932 * 299.99770 * 1 2 3 32 32 H 1.08995 * 109.47309 * 59.99667 * 1 2 3 33 33 H 1.09007 * 109.46680 * 60.00380 * 3 2 1 34 34 H 1.08998 * 109.47651 * 300.00374 * 3 2 1 35 35 H 0.96997 * 119.99926 * 0.02562 * 7 5 4 36 36 H 1.08999 * 109.49754 * 298.56943 * 10 8 7 37 37 H 1.09004 * 109.49523 * 58.62896 * 10 8 7 38 38 H 1.08996 * 109.58945 * 174.42262 * 11 10 8 39 39 H 1.09000 * 109.59147 * 294.85233 * 11 10 8 40 40 H 0.97005 * 119.99532 * 180.02562 * 16 15 13 41 41 H 1.09000 * 109.47010 * 59.99248 * 23 21 12 42 42 H 1.08991 * 109.47053 * 179.97438 * 23 21 12 43 43 H 1.09002 * 109.46743 * 299.99693 * 23 21 12 44 44 H 1.08998 * 109.49155 * 301.34101 * 24 8 7 45 45 H 1.09003 * 109.49438 * 61.43320 * 24 8 7 46 46 H 1.08995 * 109.52177 * 303.06033 * 25 4 3 47 47 H 1.09003 * 109.52592 * 63.18696 * 25 4 3 48 48 H 1.08993 * 109.47990 * 177.62172 * 26 25 4 49 49 H 1.08997 * 109.48153 * 297.65780 * 26 25 4 50 50 H 1.09003 * 109.48222 * 301.18250 * 28 27 26 51 51 H 1.08999 * 109.48280 * 181.14851 * 28 27 26 52 52 H 1.08993 * 109.52255 * 182.48806 * 29 28 27 53 53 H 1.09001 * 109.57200 * 62.32728 * 29 28 27 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1847 0.0006 5 6 3.9829 0.4326 1.2275 6 8 4.7283 0.9615 2.0248 7 7 3.5547 -0.8278 1.4388 8 6 3.9901 -1.5591 2.6311 9 1 4.0869 -0.8662 3.4669 10 6 5.3429 -2.2206 2.3580 11 6 5.8113 -2.9553 3.6179 12 7 4.7577 -3.8883 4.0404 13 6 5.0388 -5.2134 4.2413 14 1 4.2653 -5.9555 4.1094 15 6 6.3178 -5.6028 4.6148 16 7 7.1590 -4.7165 5.1039 17 14 6.8449 -7.3846 4.4231 18 1 7.4459 -7.5812 3.0796 19 1 7.8463 -7.7195 5.4673 20 1 5.6615 -8.2695 4.5704 21 6 3.3971 -3.3724 4.2437 22 1 2.7176 -4.2015 4.4408 23 6 3.3865 -2.4072 5.4308 24 6 2.9559 -2.6329 2.9767 25 6 4.1602 2.5833 0.0013 26 6 5.6838 2.4545 -0.0768 27 8 6.0374 1.7195 -1.2517 28 6 5.5205 0.3876 -1.2855 29 6 3.9905 0.4347 -1.2551 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 1.6886 1.8463 0.8901 34 1 1.6886 1.8465 -0.8899 35 1 2.9589 -1.2509 0.8010 36 1 5.2411 -2.9320 1.5385 37 1 6.0732 -1.4575 2.0886 38 1 6.7241 -3.5095 3.3997 39 1 6.0006 -2.2338 4.4127 40 1 8.0529 -4.9886 5.3645 41 1 4.0628 -1.5764 5.2296 42 1 2.3766 -2.0254 5.5796 43 1 3.7129 -2.9321 6.3287 44 1 1.9873 -2.1633 3.1482 45 1 2.8765 -3.3405 2.1514 46 1 3.7974 3.1446 -0.8597 47 1 3.8853 3.1047 0.9182 48 1 6.1308 3.4477 -0.1192 49 1 6.0498 1.9283 0.8048 50 1 5.8844 -0.1656 -0.4197 51 1 5.8508 -0.1075 -2.1986 52 1 3.5952 -0.5808 -1.2362 53 1 3.6234 0.9521 -2.1414 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 ZINC001484980170.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 23:41:13 Heat of formation + Delta-G solvation = -114.284264 kcal Electronic energy + Delta-G solvation = -32903.548609 eV Core-core repulsion = 28775.630612 eV Total energy + Delta-G solvation = -4127.917996 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -41.00574 -38.62694 -38.00789 -37.39337 -34.43175 -34.29106 -32.47545 -31.22367 -30.65524 -29.45013 -28.40981 -26.88858 -26.28519 -24.52526 -23.71844 -23.47216 -22.38651 -21.84817 -20.97338 -19.53785 -18.16503 -17.14564 -16.68904 -16.65720 -16.51244 -16.02732 -15.84347 -15.52824 -15.12178 -14.76598 -14.55837 -14.33320 -13.97676 -13.72443 -13.69440 -13.58406 -13.09692 -12.71765 -12.57367 -12.56518 -12.40494 -12.21905 -12.20161 -12.09463 -11.67013 -11.40253 -11.36188 -11.03279 -10.90170 -10.81583 -10.75443 -10.62094 -10.53334 -10.28171 -10.14288 -10.05012 -9.95991 -9.71586 -9.66656 -9.42717 -9.14086 -8.59421 -8.35046 -6.66241 -5.75869 -3.18199 2.77882 3.29185 3.39387 3.46412 3.46898 3.47539 3.84958 4.36253 4.46730 4.50881 4.61201 4.86628 4.89834 5.00545 5.02238 5.10974 5.12848 5.21048 5.34165 5.39769 5.42694 5.44535 5.45267 5.49720 5.54337 5.62887 5.67302 5.71226 5.86361 5.87591 5.91187 6.05045 6.08128 6.11981 6.29529 6.39684 6.51185 6.53211 6.62663 6.71830 6.74846 6.82488 6.95214 7.03323 7.15539 7.19020 7.42780 7.72293 7.82574 7.89386 8.47907 8.53408 9.24080 9.87719 10.44536 11.32240 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014295 B = 0.003413 C = 0.003092 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1958.319140 B = 8200.905037 C = 9053.772774 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.389 6.389 3 C 0.076 3.924 4 C -0.080 4.080 5 C 0.522 3.478 6 O -0.543 6.543 7 N -0.708 5.708 8 C 0.149 3.851 9 H 0.082 0.918 10 C -0.146 4.146 11 C 0.175 3.825 12 N -0.584 5.584 13 C -0.253 4.253 14 H 0.066 0.934 15 C 0.004 3.996 16 N -0.900 5.900 17 Si 0.901 3.099 18 H -0.288 1.288 19 H -0.292 1.292 20 H -0.279 1.279 21 C 0.170 3.830 22 H 0.064 0.936 23 C -0.162 4.162 24 C -0.130 4.130 25 C -0.126 4.126 26 C 0.050 3.950 27 O -0.385 6.385 28 C 0.057 3.943 29 C -0.137 4.137 30 H 0.089 0.911 31 H 0.042 0.958 32 H 0.041 0.959 33 H 0.055 0.945 34 H 0.061 0.939 35 H 0.402 0.598 36 H 0.053 0.947 37 H 0.050 0.950 38 H 0.088 0.912 39 H 0.020 0.980 40 H 0.253 0.747 41 H 0.049 0.951 42 H 0.035 0.965 43 H 0.054 0.946 44 H 0.054 0.946 45 H 0.061 0.939 46 H 0.075 0.925 47 H 0.081 0.919 48 H 0.092 0.908 49 H 0.081 0.919 50 H 0.054 0.946 51 H 0.096 0.904 52 H 0.085 0.915 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.262 13.636 -13.345 22.680 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 -0.062 4.062 2 O -0.308 6.308 3 C -0.001 4.001 4 C -0.083 4.083 5 C 0.307 3.693 6 O -0.422 6.422 7 N -0.359 5.359 8 C 0.046 3.954 9 H 0.100 0.900 10 C -0.186 4.186 11 C 0.048 3.952 12 N -0.306 5.306 13 C -0.382 4.382 14 H 0.083 0.917 15 C -0.195 4.195 16 N -0.544 5.544 17 Si 0.731 3.269 18 H -0.215 1.215 19 H -0.218 1.218 20 H -0.205 1.205 21 C 0.062 3.938 22 H 0.082 0.918 23 C -0.221 4.221 24 C -0.169 4.169 25 C -0.164 4.164 26 C -0.026 4.026 27 O -0.304 6.304 28 C -0.020 4.020 29 C -0.175 4.175 30 H 0.108 0.892 31 H 0.060 0.940 32 H 0.060 0.940 33 H 0.074 0.926 34 H 0.079 0.921 35 H 0.239 0.761 36 H 0.072 0.928 37 H 0.069 0.931 38 H 0.106 0.894 39 H 0.038 0.962 40 H 0.064 0.936 41 H 0.068 0.932 42 H 0.054 0.946 43 H 0.073 0.927 44 H 0.073 0.927 45 H 0.080 0.920 46 H 0.093 0.907 47 H 0.100 0.900 48 H 0.110 0.890 49 H 0.099 0.901 50 H 0.072 0.928 51 H 0.114 0.886 52 H 0.103 0.897 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -11.341 13.845 -12.835 22.023 hybrid contribution -0.460 -0.926 -0.137 1.043 sum -11.801 12.919 -12.972 21.781 Atomic orbital electron populations 1.22744 0.80350 1.03141 0.99958 1.87734 1.20206 1.27453 1.95399 1.22482 0.91318 0.85237 1.01036 1.20986 0.94649 0.97340 0.95329 1.20121 0.80584 0.82140 0.86500 1.90651 1.36282 1.68350 1.46872 1.46390 1.49360 1.14027 1.26167 1.21075 0.94827 0.92840 0.86705 0.89973 1.22557 0.95442 0.98839 1.01743 1.20733 0.92957 0.91234 0.90252 1.44156 1.03497 1.05693 1.77248 1.19178 0.96055 0.82654 1.40336 0.91673 1.25035 0.98491 0.97342 0.98637 1.70044 1.07037 1.33180 1.44144 0.86312 0.78229 0.84971 0.77382 1.21502 1.21835 1.20490 1.20441 0.88797 0.94091 0.90501 0.91753 1.22299 0.99072 1.00306 1.00447 1.22258 0.96844 0.97239 1.00591 1.21954 0.97439 0.93874 1.03127 1.22840 0.93302 0.97198 0.89254 1.87903 1.74762 1.25554 1.42171 1.22604 0.92270 0.84482 1.02653 1.22184 0.97343 1.01719 0.96225 0.89245 0.93964 0.94043 0.92628 0.92122 0.76092 0.92780 0.93148 0.89363 0.96165 0.93647 0.93233 0.94607 0.92658 0.92743 0.92005 0.90659 0.89992 0.89018 0.90072 0.92751 0.88578 0.89658 0.90223 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 0.03 0.24 11.01 101.05 1.11 1.35 16 2 O -0.39 -3.67 7.62 -35.23 -0.27 -3.94 16 3 C 0.08 0.69 4.81 37.16 0.18 0.87 16 4 C -0.08 -0.88 0.53 -155.48 -0.08 -0.96 16 5 C 0.52 7.70 5.12 -10.99 -0.06 7.65 16 6 O -0.54 -9.87 13.50 5.55 0.07 -9.80 16 7 N -0.71 -10.42 4.60 -53.77 -0.25 -10.66 16 8 C 0.15 2.63 2.21 -67.89 -0.15 2.48 16 9 H 0.08 1.63 5.92 -51.93 -0.31 1.32 16 10 C -0.15 -2.93 5.65 -26.61 -0.15 -3.08 16 11 C 0.17 4.23 4.90 -3.71 -0.02 4.21 16 12 N -0.58 -14.30 2.70 -164.77 -0.45 -14.74 16 13 C -0.25 -6.82 9.59 -15.05 -0.14 -6.97 16 14 H 0.07 1.73 7.89 -52.49 -0.41 1.31 16 15 C 0.00 0.10 4.91 -17.43 -0.09 0.02 16 16 N -0.90 -26.14 11.19 55.49 0.62 -25.52 16 17 Si 0.90 21.66 29.59 -169.99 -5.03 16.63 16 18 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 19 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 20 H -0.28 -6.56 7.11 56.52 0.40 -6.16 16 21 C 0.17 3.46 3.29 -67.60 -0.22 3.24 16 22 H 0.06 1.30 7.93 -51.93 -0.41 0.89 16 23 C -0.16 -3.14 9.03 37.16 0.34 -2.81 16 24 C -0.13 -2.20 5.02 -26.61 -0.13 -2.34 16 25 C -0.13 -1.32 4.56 -26.59 -0.12 -1.44 16 26 C 0.05 0.62 6.57 37.21 0.24 0.86 16 27 O -0.39 -5.08 10.77 -35.23 -0.38 -5.46 16 28 C 0.06 0.68 6.62 37.21 0.25 0.92 16 29 C -0.14 -1.39 4.67 -26.59 -0.12 -1.52 16 30 H 0.09 0.55 8.14 -51.93 -0.42 0.12 16 31 H 0.04 0.28 8.14 -51.93 -0.42 -0.14 16 32 H 0.04 0.23 8.14 -51.93 -0.42 -0.20 16 33 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 34 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 35 H 0.40 5.30 5.98 -40.82 -0.24 5.05 16 36 H 0.05 1.08 8.14 -51.93 -0.42 0.66 16 37 H 0.05 1.02 8.14 -51.93 -0.42 0.60 16 38 H 0.09 2.40 6.04 -51.93 -0.31 2.09 16 39 H 0.02 0.53 7.50 -51.93 -0.39 0.14 16 40 H 0.25 7.16 8.31 -40.82 -0.34 6.82 16 41 H 0.05 1.00 5.72 -51.93 -0.30 0.71 16 42 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 44 H 0.05 0.82 8.14 -51.93 -0.42 0.39 16 45 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 46 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 47 H 0.08 0.87 8.03 -51.93 -0.42 0.45 16 48 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 49 H 0.08 1.22 5.80 -51.93 -0.30 0.92 16 50 H 0.05 0.76 7.38 -51.93 -0.38 0.38 16 51 H 0.10 0.97 8.14 -51.93 -0.42 0.55 16 52 H 0.08 0.86 7.19 -51.93 -0.37 0.48 16 53 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 LS Contribution 395.55 15.07 5.96 5.96 Total: -1.00 -31.03 395.55 -8.21 -39.24 By element: Atomic # 1 Polarization: 15.15 SS G_CDS: -9.33 Total: 5.82 kcal Atomic # 6 Polarization: 1.65 SS G_CDS: 0.83 Total: 2.48 kcal Atomic # 7 Polarization: -50.86 SS G_CDS: -0.07 Total: -50.93 kcal Atomic # 8 Polarization: -18.62 SS G_CDS: -0.57 Total: -19.20 kcal Atomic # 14 Polarization: 21.66 SS G_CDS: -5.03 Total: 16.63 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -31.03 -8.21 -39.24 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. ZINC001484980170.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 -75.043 kcal (2) G-P(sol) polarization free energy of solvation -31.029 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.072 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.212 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.241 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.284 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds