Wall clock time and date at job start Sat Apr 11 2020 06:10:40 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 1.52997 * 1 3 3 H 1.09009 * 109.51177 * 2 1 4 4 C 1.52845 * 109.63660 * 240.01916 * 2 1 3 5 5 N 1.47153 * 108.66297 * 187.87929 * 4 2 1 6 6 C 1.34774 * 120.99086 * 230.48692 * 5 4 2 7 7 O 1.21585 * 120.00154 * 185.32261 * 6 5 4 8 8 N 1.34778 * 120.00000 * 5.32920 * 6 5 4 9 9 C 1.46506 * 120.00003 * 185.48285 * 8 6 5 10 10 C 1.52999 * 109.47202 * 180.02562 * 9 8 6 11 11 C 1.53003 * 109.46845 * 299.99759 * 10 9 8 12 12 C 1.53001 * 109.47051 * 59.99699 * 10 9 8 13 13 C 1.50696 * 109.47319 * 180.02562 * 10 9 8 14 14 H 1.08002 * 120.00034 * 1.58570 * 13 10 9 15 15 C 1.37873 * 120.00185 * 181.58678 * 13 10 9 16 16 N 1.31518 * 120.00139 * 193.59184 * 15 13 10 17 17 Si 1.86802 * 119.99976 * 13.59315 * 15 13 10 18 18 H 1.48496 * 109.47344 * 84.74708 * 17 15 13 19 19 H 1.48496 * 109.47094 * 204.74946 * 17 15 13 20 20 H 1.48507 * 109.46970 * 324.74606 * 17 15 13 21 21 C 1.47179 * 118.01739 * 50.22167 * 5 4 2 22 22 C 1.53190 * 108.36272 * 309.84827 * 21 5 4 23 23 C 1.53104 * 109.42230 * 292.18780 * 22 21 5 24 24 C 1.53193 * 109.02349 * 183.17347 * 23 22 21 25 25 C 1.53095 * 109.14108 * 56.88981 * 24 23 22 26 26 O 1.42898 * 109.45402 * 302.36253 * 25 24 23 27 27 C 1.42924 * 114.09569 * 61.16530 * 26 25 24 28 28 O 1.42862 * 109.40851 * 52.19329 * 22 21 5 29 29 H 1.08993 * 109.47215 * 299.89018 * 1 2 3 30 30 H 1.09001 * 109.47466 * 59.89200 * 1 2 3 31 31 H 1.09007 * 109.46904 * 179.88629 * 1 2 3 32 32 H 1.08998 * 109.60914 * 68.03906 * 4 2 1 33 33 H 1.08998 * 109.50422 * 307.65649 * 4 2 1 34 34 H 0.97001 * 119.99883 * 5.48003 * 8 6 5 35 35 H 1.09003 * 109.47155 * 59.99669 * 9 8 6 36 36 H 1.09005 * 109.47069 * 299.99729 * 9 8 6 37 37 H 1.09003 * 109.46967 * 69.76545 * 11 10 9 38 38 H 1.09002 * 109.47123 * 189.76040 * 11 10 9 39 39 H 1.08999 * 109.47604 * 309.76683 * 11 10 9 40 40 H 1.08991 * 109.47108 * 60.00213 * 12 10 9 41 41 H 1.09005 * 109.46882 * 180.02562 * 12 10 9 42 42 H 1.09000 * 109.47192 * 300.00176 * 12 10 9 43 43 H 0.96998 * 119.99639 * 179.97438 * 16 15 13 44 44 H 1.08993 * 109.68726 * 69.56440 * 21 5 4 45 45 H 1.09002 * 109.68291 * 190.09068 * 21 5 4 46 46 H 1.09003 * 109.54559 * 303.03505 * 23 22 21 47 47 H 1.08998 * 109.53947 * 63.21808 * 23 22 21 48 48 H 1.08998 * 109.52876 * 176.79037 * 24 23 22 49 49 H 1.09004 * 109.52769 * 296.92581 * 24 23 22 50 50 H 1.09009 * 109.47711 * 62.35435 * 25 24 23 51 51 H 1.09000 * 109.48137 * 182.36480 * 25 24 23 52 52 H 1.09002 * 109.48037 * 178.99716 * 27 26 25 53 53 H 1.09003 * 109.48739 * 58.96092 * 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 1.5300 0.0000 0.0000 3 1 1.8941 1.0275 0.0000 4 6 2.0436 -0.7194 -1.2469 5 7 3.5025 -0.8746 -1.1336 6 6 4.3202 -0.5015 -2.1379 7 8 5.5130 -0.7261 -2.0661 8 7 3.8157 0.1206 -3.2218 9 6 4.6823 0.4186 -4.3650 10 6 3.8680 1.1224 -5.4524 11 6 2.7244 0.2114 -5.9032 12 6 3.2925 2.4259 -4.8953 13 6 4.7592 1.4283 -6.6285 14 1 5.7959 1.1259 -6.6135 15 6 4.2511 2.0942 -7.7236 16 7 4.9336 2.1285 -8.8473 17 14 2.5933 2.9478 -7.6113 18 1 2.7739 4.3068 -7.0406 19 1 1.9992 3.0556 -8.9680 20 1 1.6889 2.1595 -6.7361 21 6 4.0426 -1.4440 0.1115 22 6 3.4305 -0.6863 1.2939 23 6 3.9540 0.7524 1.3026 24 6 3.3992 1.4783 2.5323 25 6 3.7961 0.7056 3.7929 26 8 3.3028 -0.6327 3.7058 27 6 3.8236 -1.3760 2.6017 28 8 2.0076 -0.6760 1.1658 29 1 -0.3633 0.5121 0.8909 30 1 -0.3634 0.5155 -0.8890 31 1 -0.3633 -1.0277 -0.0020 32 1 1.8049 -0.1312 -2.1330 33 1 1.5747 -1.7006 -1.3201 34 1 2.8789 0.3711 -3.2451 35 1 5.0927 -0.5101 -4.7616 36 1 5.4968 1.0679 -4.0439 37 1 1.9881 0.1299 -5.1035 38 1 2.2520 0.6332 -6.7903 39 1 3.1181 -0.7778 -6.1367 40 1 4.1072 3.0748 -4.5742 41 1 2.7120 2.9271 -5.6699 42 1 2.6478 2.2043 -4.0448 43 1 4.5760 2.5968 -9.6178 44 1 3.7801 -2.4998 0.1766 45 1 5.1269 -1.3337 0.1257 46 1 5.0432 0.7439 1.3447 47 1 3.6281 1.2644 0.3972 48 1 3.8120 2.4861 2.5776 49 1 2.3126 1.5325 2.4640 50 1 4.8825 0.6873 3.8810 51 1 3.3687 1.1942 4.6684 52 1 3.4137 -2.3858 2.6176 53 1 4.9101 -1.4233 2.6754 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 ZINC000590948306.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 06:10:40 Heat of formation + Delta-G solvation = -94.710959 kcal Electronic energy + Delta-G solvation = -32552.761336 eV Core-core repulsion = 28425.692102 eV Total energy + Delta-G solvation = -4127.069234 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -41.22045 -39.55518 -38.04360 -36.83377 -34.71849 -34.17008 -33.21873 -32.71946 -31.50044 -30.35153 -27.27649 -26.61537 -26.41883 -25.68896 -25.31935 -24.52348 -22.66824 -21.96635 -20.21589 -19.49919 -19.35656 -18.07892 -17.13481 -16.69122 -16.28476 -16.13567 -15.88402 -15.53658 -15.40830 -15.24976 -15.15500 -14.41804 -14.22345 -13.96283 -13.83924 -13.27492 -13.20073 -13.01877 -12.96281 -12.80323 -12.65204 -12.58110 -12.32727 -12.28104 -12.18365 -12.09453 -11.96714 -11.41505 -11.35656 -11.27000 -11.04610 -10.60239 -10.46349 -10.34527 -10.23421 -10.18810 -10.11329 -9.87242 -9.68627 -9.17290 -8.78589 -8.73045 -8.51801 -8.30963 -6.17858 -4.15528 2.62503 3.19567 3.20240 3.26970 3.35346 3.37912 3.65103 4.04397 4.29078 4.31891 4.37671 4.43531 4.52001 4.62865 4.75930 4.81627 4.90276 4.98030 5.09019 5.11371 5.12627 5.24453 5.27988 5.33658 5.39744 5.49052 5.50262 5.57120 5.62920 5.65707 5.71071 5.80574 5.88771 5.94439 5.98817 6.03018 6.22997 6.30990 6.42454 6.48251 6.56696 6.65423 6.76453 6.81497 6.91901 6.98677 7.04071 7.18322 7.38748 7.68759 8.14705 8.42424 8.80023 8.87870 9.45647 10.95259 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019963 B = 0.002903 C = 0.002799 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1402.248209 B = 9642.264073 C =10002.135844 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C 0.069 3.931 3 H 0.066 0.934 4 C 0.083 3.917 5 N -0.635 5.635 6 C 0.705 3.295 7 O -0.590 6.590 8 N -0.737 5.737 9 C 0.159 3.841 10 C 0.029 3.971 11 C -0.141 4.141 12 C -0.146 4.146 13 C -0.513 4.513 14 H 0.077 0.923 15 C 0.075 3.925 16 N -0.891 5.891 17 Si 0.886 3.114 18 H -0.286 1.286 19 H -0.305 1.305 20 H -0.250 1.250 21 C 0.111 3.889 22 C 0.073 3.927 23 C -0.146 4.146 24 C -0.151 4.151 25 C 0.060 3.940 26 O -0.370 6.370 27 C 0.080 3.920 28 O -0.352 6.352 29 H 0.067 0.933 30 H 0.074 0.926 31 H 0.066 0.934 32 H 0.086 0.914 33 H 0.077 0.923 34 H 0.391 0.609 35 H 0.061 0.939 36 H 0.061 0.939 37 H 0.019 0.981 38 H 0.056 0.944 39 H 0.047 0.953 40 H 0.053 0.947 41 H 0.042 0.958 42 H 0.026 0.974 43 H 0.265 0.735 44 H 0.073 0.927 45 H 0.102 0.898 46 H 0.076 0.924 47 H 0.074 0.926 48 H 0.073 0.927 49 H 0.075 0.925 50 H 0.050 0.950 51 H 0.094 0.906 52 H 0.104 0.896 53 H 0.070 0.930 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.539 -4.182 23.541 25.389 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 -0.200 4.200 2 C 0.010 3.990 3 H 0.084 0.916 4 C -0.041 4.041 5 N -0.374 5.374 6 C 0.407 3.593 7 O -0.468 6.468 8 N -0.394 5.394 9 C 0.036 3.964 10 C 0.028 3.972 11 C -0.198 4.198 12 C -0.203 4.203 13 C -0.551 4.551 14 H 0.095 0.905 15 C -0.127 4.127 16 N -0.527 5.527 17 Si 0.718 3.282 18 H -0.214 1.214 19 H -0.234 1.234 20 H -0.176 1.176 21 C -0.013 4.013 22 C 0.032 3.968 23 C -0.183 4.183 24 C -0.188 4.188 25 C -0.017 4.017 26 O -0.288 6.288 27 C 0.003 3.997 28 O -0.271 6.271 29 H 0.086 0.914 30 H 0.093 0.907 31 H 0.085 0.915 32 H 0.105 0.895 33 H 0.095 0.905 34 H 0.227 0.773 35 H 0.079 0.921 36 H 0.079 0.921 37 H 0.038 0.962 38 H 0.075 0.925 39 H 0.066 0.934 40 H 0.072 0.928 41 H 0.060 0.940 42 H 0.045 0.955 43 H 0.075 0.925 44 H 0.091 0.909 45 H 0.121 0.879 46 H 0.094 0.906 47 H 0.093 0.907 48 H 0.091 0.909 49 H 0.094 0.906 50 H 0.068 0.932 51 H 0.112 0.888 52 H 0.122 0.878 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges -7.856 -4.455 23.591 25.261 hybrid contribution -1.008 1.050 -0.691 1.611 sum -8.864 -3.405 22.900 24.791 Atomic orbital electron populations 1.21723 0.92093 1.03308 1.02900 1.22425 0.95448 0.95927 0.85175 0.91623 1.22264 0.81064 1.01846 0.98934 1.47212 1.05622 1.67868 1.16729 1.15882 0.84789 0.78712 0.79918 1.90895 1.13615 1.62130 1.80166 1.45667 1.14168 1.62242 1.17300 1.21411 0.92154 0.99594 0.83195 1.18727 0.93689 0.91169 0.93648 1.22292 0.97632 1.00250 0.99638 1.22347 0.99707 0.99931 0.98288 1.20707 0.97809 1.38197 0.98373 0.90476 1.24971 0.97121 0.95922 0.94699 1.69947 1.39400 1.41906 1.01482 0.87289 0.85429 0.80138 0.75299 1.21362 1.23359 1.17585 1.21953 1.00662 0.96829 0.81858 1.22502 0.82526 0.95810 0.95932 1.22136 1.01439 0.95551 0.99213 1.22108 1.02470 0.99319 0.94935 1.22601 0.98245 0.82959 0.97917 1.87984 1.69548 1.24435 1.46818 1.22489 0.98320 0.95632 0.83300 1.88033 1.19399 1.76913 1.42784 0.91405 0.90710 0.91477 0.89535 0.90495 0.77251 0.92095 0.92071 0.96215 0.92482 0.93361 0.92750 0.94023 0.95479 0.92523 0.90915 0.87946 0.90575 0.90716 0.90869 0.90621 0.93178 0.88830 0.87833 0.91239 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.07 9.57 37.16 0.36 -0.72 16 2 C 0.07 0.65 3.00 -26.81 -0.08 0.57 16 3 H 0.07 0.66 6.19 -51.92 -0.32 0.34 16 4 C 0.08 0.86 5.91 -3.77 -0.02 0.84 16 5 N -0.64 -8.23 2.60 -178.33 -0.46 -8.69 16 6 C 0.71 11.88 8.31 -86.92 -0.72 11.16 16 7 O -0.59 -12.11 15.85 5.29 0.08 -12.03 16 8 N -0.74 -12.24 4.90 -65.22 -0.32 -12.56 16 9 C 0.16 3.19 4.49 -4.04 -0.02 3.17 16 10 C 0.03 0.62 0.50 -155.66 -0.08 0.54 16 11 C -0.14 -2.81 7.52 37.16 0.28 -2.53 16 12 C -0.15 -2.91 7.52 37.16 0.28 -2.63 16 13 C -0.51 -13.65 8.62 -34.44 -0.30 -13.94 16 14 H 0.08 2.26 7.99 -52.49 -0.42 1.84 16 15 C 0.08 2.08 5.32 -17.82 -0.09 1.98 16 16 N -0.89 -26.44 13.96 55.43 0.77 -25.67 16 17 Si 0.89 20.80 22.78 -169.99 -3.87 16.93 16 18 H -0.29 -6.70 7.10 56.52 0.40 -6.30 16 19 H -0.30 -7.34 7.11 56.52 0.40 -6.94 16 20 H -0.25 -5.30 4.65 56.52 0.26 -5.03 16 21 C 0.11 1.26 5.29 -3.57 -0.02 1.24 16 22 C 0.07 0.73 0.71 -90.47 -0.06 0.67 16 23 C -0.15 -1.46 4.33 -26.58 -0.12 -1.58 16 24 C -0.15 -1.29 5.98 -26.58 -0.16 -1.45 16 25 C 0.06 0.48 6.84 37.21 0.25 0.74 16 26 O -0.37 -3.78 10.70 -42.37 -0.45 -4.23 16 27 C 0.08 0.71 5.81 37.15 0.22 0.92 16 28 O -0.35 -3.77 9.30 -42.37 -0.39 -4.17 16 29 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 30 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 31 H 0.07 0.49 8.14 -51.92 -0.42 0.07 16 32 H 0.09 0.85 5.65 -51.93 -0.29 0.56 16 33 H 0.08 0.75 8.14 -51.93 -0.42 0.32 16 34 H 0.39 5.67 3.81 -40.82 -0.16 5.52 16 35 H 0.06 1.31 8.14 -51.93 -0.42 0.88 16 36 H 0.06 1.31 8.14 -51.93 -0.42 0.88 16 37 H 0.02 0.32 7.14 -51.93 -0.37 -0.05 16 38 H 0.06 1.21 4.31 -51.93 -0.22 0.99 16 39 H 0.05 0.96 8.12 -51.93 -0.42 0.54 16 40 H 0.05 1.09 8.14 -51.93 -0.42 0.67 16 41 H 0.04 0.88 2.25 -51.93 -0.12 0.76 16 42 H 0.03 0.44 6.86 -51.93 -0.36 0.09 16 43 H 0.26 7.41 8.31 -40.82 -0.34 7.07 16 44 H 0.07 0.75 8.14 -51.93 -0.42 0.32 16 45 H 0.10 1.27 7.12 -51.93 -0.37 0.90 16 46 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 47 H 0.07 0.86 6.03 -51.93 -0.31 0.55 16 48 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 49 H 0.08 0.72 7.84 -51.93 -0.41 0.31 16 50 H 0.05 0.36 8.14 -51.92 -0.42 -0.07 16 51 H 0.09 0.63 8.14 -51.93 -0.42 0.21 16 52 H 0.10 0.82 8.14 -51.93 -0.42 0.40 16 53 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 LS Contribution 384.27 15.07 5.79 5.79 Total: -1.00 -32.04 384.27 -8.10 -40.14 By element: Atomic # 1 Polarization: 14.47 SS G_CDS: -8.96 Total: 5.51 kcal Atomic # 6 Polarization: -0.73 SS G_CDS: -0.29 Total: -1.02 kcal Atomic # 7 Polarization: -46.92 SS G_CDS: -0.01 Total: -46.93 kcal Atomic # 8 Polarization: -19.66 SS G_CDS: -0.76 Total: -20.43 kcal Atomic # 14 Polarization: 20.80 SS G_CDS: -3.87 Total: 16.93 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -32.04 -8.10 -40.14 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. ZINC000590948306.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 -54.568 kcal (2) G-P(sol) polarization free energy of solvation -32.041 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -86.609 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.102 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.143 kcal (6) G-S(sol) free energy of system = (1) + (5) -94.711 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds