Wall clock time and date at job start Sat Apr 11 2020 06:13:18 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 1.52996 * 1 3 3 C 1.52996 * 109.47095 * 2 1 4 4 N 1.46895 * 109.46895 * 119.99812 * 2 1 3 5 5 C 1.46898 * 111.00192 * 56.04627 * 4 2 1 6 6 C 1.46911 * 110.99868 * 179.97438 * 4 2 1 7 7 C 1.50698 * 109.46870 * 170.00277 * 6 4 2 8 8 O 1.21283 * 120.00211 * 359.97438 * 7 6 4 9 9 N 1.34784 * 119.99775 * 180.02562 * 7 6 4 10 10 C 1.46491 * 120.00096 * 179.97438 * 9 7 6 11 11 C 1.52995 * 109.47360 * 186.88795 * 10 9 7 12 12 H 1.09004 * 110.72463 * 302.76529 * 11 10 9 13 13 C 1.54938 * 110.66923 * 179.67341 * 11 10 9 14 14 C 1.54596 * 102.92055 * 204.14775 * 13 11 10 15 15 C 1.53992 * 105.14147 * 21.95583 * 14 13 11 16 16 N 1.47906 * 107.05621 * 1.22451 * 15 14 13 17 17 C 1.46897 * 110.99856 * 214.15071 * 16 15 14 18 18 C 1.50698 * 109.46826 * 63.68444 * 17 16 15 19 19 O 1.21289 * 120.00450 * 352.96755 * 18 17 16 20 20 N 1.34784 * 119.99936 * 172.96837 * 18 17 16 21 21 C 1.37102 * 119.99782 * 179.97438 * 20 18 17 22 22 H 1.08000 * 119.99847 * 359.97438 * 21 20 18 23 23 C 1.38952 * 119.99752 * 179.72394 * 21 20 18 24 24 N 1.31404 * 119.99930 * 180.27381 * 23 21 20 25 25 Si 1.86803 * 119.99892 * 0.27596 * 23 21 20 26 26 H 1.48501 * 109.47166 * 89.99916 * 25 23 21 27 27 H 1.48504 * 109.46934 * 209.99969 * 25 23 21 28 28 H 1.48497 * 109.47285 * 330.00014 * 25 23 21 29 29 H 1.09008 * 109.47206 * 300.00598 * 1 2 3 30 30 H 1.09005 * 109.47481 * 59.99750 * 1 2 3 31 31 H 1.08995 * 109.47434 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47167 * 239.99940 * 2 1 3 33 33 H 1.08996 * 109.47533 * 60.00319 * 3 2 1 34 34 H 1.09007 * 109.47351 * 180.02562 * 3 2 1 35 35 H 1.09007 * 109.47217 * 299.99673 * 3 2 1 36 36 H 1.09003 * 109.47274 * 183.94909 * 5 4 2 37 37 H 1.09002 * 109.47299 * 303.95211 * 5 4 2 38 38 H 1.09006 * 109.46888 * 63.95230 * 5 4 2 39 39 H 1.09000 * 109.46335 * 50.00412 * 6 4 2 40 40 H 1.08996 * 109.47294 * 290.00253 * 6 4 2 41 41 H 0.97001 * 119.99816 * 359.97438 * 9 7 6 42 42 H 1.09011 * 109.47031 * 66.88677 * 10 9 7 43 43 H 1.09006 * 109.47323 * 306.89036 * 10 9 7 44 44 H 1.09008 * 110.72275 * 85.79020 * 13 11 10 45 45 H 1.08995 * 110.87695 * 322.58158 * 13 11 10 46 46 H 1.09003 * 110.30967 * 263.04168 * 14 13 11 47 47 H 1.08999 * 110.30568 * 140.87177 * 14 13 11 48 48 H 1.08992 * 109.92292 * 241.87292 * 15 14 13 49 49 H 1.09005 * 110.07896 * 120.66329 * 15 14 13 50 50 H 1.08993 * 109.47407 * 303.68322 * 17 16 15 51 51 H 1.09007 * 109.47231 * 183.67806 * 17 16 15 52 52 H 0.96999 * 119.99644 * 359.97438 * 20 18 17 53 53 H 0.97000 * 119.99893 * 179.97438 * 24 23 21 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 2.0399 1.4425 0.0000 4 7 2.0196 -0.6924 1.1994 5 6 1.4729 -2.0534 1.2817 6 6 3.4881 -0.7126 1.2331 7 6 3.9530 -1.2050 2.5794 8 8 3.1410 -1.5087 3.4275 9 7 5.2712 -1.3068 2.8413 10 6 5.7231 -1.7849 4.1502 11 6 7.2434 -1.6439 4.2476 12 1 7.7339 -2.1888 3.4409 13 6 7.7510 -2.1349 5.6266 14 6 9.0873 -1.3757 5.7936 15 6 8.9762 -0.1560 4.8601 16 7 7.6394 -0.2125 4.2297 17 6 7.6833 0.3046 2.8554 18 6 8.5687 -0.5786 2.0145 19 8 9.2101 -1.4664 2.5354 20 7 8.6478 -0.3818 0.6835 21 6 9.4538 -1.1849 -0.0814 22 1 10.0255 -1.9750 0.3826 23 6 9.5310 -0.9857 -1.4544 24 7 10.2993 -1.7589 -2.1883 25 14 8.5426 0.3812 -2.2569 26 1 9.3501 1.6273 -2.2812 27 1 8.1941 -0.0100 -3.6465 28 1 7.2978 0.6131 -1.4811 29 1 -0.3634 0.5140 0.8900 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8933 -0.5138 -0.8900 33 1 1.6767 1.9563 0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6766 1.9563 -0.8901 36 1 1.7948 -2.5186 2.2134 37 1 0.3841 -2.0099 1.2545 38 1 1.8342 -2.6417 0.4381 39 1 3.8692 0.2944 1.0630 40 1 3.8603 -1.3783 0.4544 41 1 5.9206 -1.0635 2.1631 42 1 5.4470 -2.8327 4.2694 43 1 5.2523 -1.1935 4.9355 44 1 7.9182 -3.2121 5.6149 45 1 7.0515 -1.8633 6.4172 46 1 9.9221 -2.0082 5.4918 47 1 9.2115 -1.0513 6.8267 48 1 9.7502 -0.2028 4.0942 49 1 9.0773 0.7651 5.4342 50 1 8.0822 1.3188 2.8613 51 1 6.6764 0.3125 2.4379 52 1 8.1346 0.3280 0.2668 53 1 10.3529 -1.6201 -3.1468 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 ZINC001267282248.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 06:13:18 Heat of formation + Delta-G solvation = -38.564247 kcal Electronic energy + Delta-G solvation = -31880.284338 eV Core-core repulsion = 27787.942559 eV Total energy + Delta-G solvation = -4092.341779 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.32836 -39.53056 -37.82226 -37.29844 -34.51009 -34.12345 -32.27592 -32.15592 -31.69203 -30.25165 -28.88646 -26.94415 -26.61114 -25.09537 -24.34026 -23.63419 -21.03739 -20.55138 -20.25350 -19.89449 -19.49086 -18.36566 -17.16652 -16.79789 -16.14209 -15.82736 -15.67482 -15.25659 -14.98766 -14.93694 -14.74757 -14.45464 -14.34533 -14.08488 -13.71127 -13.48623 -13.03073 -12.93625 -12.76028 -12.65422 -12.50688 -12.38503 -12.08682 -12.05461 -11.94601 -11.74834 -11.44724 -11.36611 -11.28029 -11.20459 -11.06996 -10.90037 -10.80704 -10.78894 -10.74843 -10.30324 -10.16370 -9.63339 -9.57431 -9.40079 -8.85381 -8.40215 -8.34872 -7.73682 -6.49047 -4.00990 2.77385 2.86237 2.93379 3.03013 3.11917 3.45129 3.89679 3.93708 4.19855 4.46326 4.69622 4.74142 4.79874 4.90452 4.96936 5.05726 5.11037 5.16864 5.19025 5.23224 5.40912 5.44993 5.47052 5.50571 5.57599 5.61819 5.63688 5.64875 5.71698 5.75048 5.75535 5.77739 5.90820 5.93431 5.94618 6.05614 6.08680 6.13404 6.24310 6.29175 6.48126 6.55092 6.62870 6.81966 6.96736 7.10991 7.19081 7.37309 7.61980 7.95228 8.37256 8.37514 8.75225 9.22233 9.57920 10.63325 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.007276 B = 0.004627 C = 0.003087 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3847.573829 B = 6050.610462 C = 9069.256541 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.073 3.927 3 C -0.150 4.150 4 N -0.517 5.517 5 C 0.014 3.986 6 C 0.026 3.974 7 C 0.514 3.486 8 O -0.528 6.528 9 N -0.729 5.729 10 C 0.137 3.863 11 C 0.029 3.971 12 H 0.108 0.892 13 C -0.107 4.107 14 C -0.119 4.119 15 C 0.034 3.966 16 N -0.488 5.488 17 C 0.019 3.981 18 C 0.406 3.594 19 O -0.568 6.568 20 N -0.580 5.580 21 C -0.310 4.310 22 H 0.120 0.880 23 C 0.045 3.955 24 N -0.873 5.873 25 Si 0.878 3.122 26 H -0.269 1.269 27 H -0.275 1.275 28 H -0.269 1.269 29 H 0.065 0.935 30 H 0.059 0.941 31 H 0.057 0.943 32 H 0.041 0.959 33 H 0.066 0.934 34 H 0.057 0.943 35 H 0.060 0.940 36 H 0.088 0.912 37 H 0.071 0.929 38 H 0.019 0.981 39 H 0.107 0.893 40 H 0.064 0.936 41 H 0.400 0.600 42 H 0.064 0.936 43 H 0.075 0.925 44 H 0.069 0.931 45 H 0.068 0.932 46 H 0.068 0.932 47 H 0.062 0.938 48 H 0.071 0.929 49 H 0.065 0.935 50 H 0.094 0.906 51 H 0.088 0.912 52 H 0.371 0.629 53 H 0.275 0.725 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.752 5.082 6.330 15.969 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 -0.203 4.203 2 C -0.035 4.035 3 C -0.207 4.207 4 N -0.242 5.242 5 C -0.134 4.134 6 C -0.105 4.105 7 C 0.300 3.700 8 O -0.404 6.404 9 N -0.384 5.384 10 C 0.013 3.987 11 C -0.080 4.080 12 H 0.125 0.875 13 C -0.146 4.146 14 C -0.157 4.157 15 C -0.094 4.094 16 N -0.211 5.211 17 C -0.114 4.114 18 C 0.192 3.808 19 O -0.453 6.453 20 N -0.218 5.218 21 C -0.439 4.439 22 H 0.138 0.862 23 C -0.159 4.159 24 N -0.512 5.512 25 Si 0.704 3.296 26 H -0.194 1.194 27 H -0.200 1.200 28 H -0.194 1.194 29 H 0.084 0.916 30 H 0.078 0.922 31 H 0.076 0.924 32 H 0.059 0.941 33 H 0.085 0.915 34 H 0.076 0.924 35 H 0.079 0.921 36 H 0.107 0.893 37 H 0.089 0.911 38 H 0.038 0.962 39 H 0.125 0.875 40 H 0.082 0.918 41 H 0.237 0.763 42 H 0.083 0.917 43 H 0.093 0.907 44 H 0.088 0.912 45 H 0.087 0.913 46 H 0.087 0.913 47 H 0.081 0.919 48 H 0.089 0.911 49 H 0.084 0.916 50 H 0.112 0.888 51 H 0.106 0.894 52 H 0.203 0.797 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -14.365 4.798 7.760 17.017 hybrid contribution 0.635 0.299 -2.553 2.648 sum -13.729 5.097 5.207 15.543 Atomic orbital electron populations 1.21897 0.94059 1.02113 1.02233 1.21677 0.95942 0.95163 0.90685 1.21937 1.01161 0.95245 1.02395 1.61749 1.05494 1.18249 1.38734 1.22636 1.00549 0.88183 1.02002 1.22111 0.90113 1.03211 0.95092 1.20426 0.82245 0.77886 0.89445 1.90637 1.53084 1.48860 1.47864 1.46364 1.07081 1.67813 1.17116 1.21347 0.93670 0.99041 0.84613 1.23503 0.93670 0.90364 1.00425 0.87487 1.22298 0.96841 0.99663 0.95773 1.22217 0.97792 0.96831 0.98839 1.22850 0.91195 0.97641 0.97697 1.65105 1.24800 1.17320 1.13891 1.22425 0.99682 0.99489 0.89777 1.20926 0.87989 0.88761 0.83080 1.90505 1.48126 1.35359 1.71325 1.42448 1.41355 1.31001 1.06986 1.19450 1.21716 1.13428 0.89315 0.86200 1.25079 0.97153 0.97578 0.96087 1.69614 1.37244 1.37608 1.06738 0.86708 0.80214 0.82495 0.80197 1.19421 1.20018 1.19442 0.91607 0.92207 0.92394 0.94138 0.91505 0.92437 0.92060 0.89320 0.91057 0.96236 0.87503 0.91789 0.76256 0.91741 0.90714 0.91243 0.91296 0.91294 0.91937 0.91104 0.91620 0.88795 0.89433 0.79661 0.91391 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 -0.15 -1.26 8.84 37.16 0.33 -0.93 16 2 C 0.07 0.74 2.67 -67.72 -0.18 0.56 16 3 C -0.15 -1.38 8.99 37.16 0.33 -1.05 16 4 N -0.52 -6.35 4.37 -236.33 -1.03 -7.39 16 5 C 0.01 0.17 8.84 60.06 0.53 0.70 16 6 C 0.03 0.32 5.26 -4.97 -0.03 0.29 16 7 C 0.51 7.59 7.55 -10.98 -0.08 7.51 16 8 O -0.53 -9.22 14.29 5.55 0.08 -9.14 16 9 N -0.73 -10.45 4.68 -60.29 -0.28 -10.73 16 10 C 0.14 1.98 5.41 -4.05 -0.02 1.96 16 11 C 0.03 0.43 2.18 -65.79 -0.14 0.29 16 12 H 0.11 2.01 5.05 -51.93 -0.26 1.74 16 13 C -0.11 -1.43 6.50 -24.87 -0.16 -1.59 16 14 C -0.12 -1.62 6.93 -25.38 -0.18 -1.79 16 15 C 0.03 0.51 6.01 -2.75 -0.02 0.49 16 16 N -0.49 -7.40 5.23 -224.07 -1.17 -8.57 16 17 C 0.02 0.30 5.32 -4.98 -0.03 0.27 16 18 C 0.41 8.06 6.34 -10.98 -0.07 7.99 16 19 O -0.57 -13.06 11.37 5.55 0.06 -13.00 16 20 N -0.58 -12.33 5.09 -10.96 -0.06 -12.39 16 21 C -0.31 -8.07 10.16 -14.93 -0.15 -8.23 16 22 H 0.12 3.62 7.39 -52.49 -0.39 3.23 16 23 C 0.05 1.16 5.50 -17.47 -0.10 1.06 16 24 N -0.87 -24.15 13.96 55.50 0.77 -23.38 16 25 Si 0.88 17.97 27.74 -169.99 -4.72 13.25 16 26 H -0.27 -5.46 7.11 56.52 0.40 -5.06 16 27 H -0.28 -5.72 7.11 56.52 0.40 -5.31 16 28 H -0.27 -4.85 6.51 56.52 0.37 -4.48 16 29 H 0.06 0.60 8.14 -51.92 -0.42 0.18 16 30 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 31 H 0.06 0.49 6.26 -51.93 -0.33 0.16 16 32 H 0.04 0.42 8.14 -51.93 -0.42 -0.01 16 33 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 34 H 0.06 0.53 6.20 -51.93 -0.32 0.21 16 35 H 0.06 0.48 8.14 -51.92 -0.42 0.06 16 36 H 0.09 1.25 5.88 -51.93 -0.31 0.94 16 37 H 0.07 0.75 6.01 -51.93 -0.31 0.43 16 38 H 0.02 0.22 8.14 -51.93 -0.42 -0.20 16 39 H 0.11 1.18 5.83 -51.93 -0.30 0.88 16 40 H 0.06 0.77 8.12 -51.93 -0.42 0.35 16 41 H 0.40 5.76 5.48 -40.82 -0.22 5.54 16 42 H 0.06 0.92 8.14 -51.92 -0.42 0.50 16 43 H 0.07 1.11 8.11 -51.93 -0.42 0.69 16 44 H 0.07 0.88 8.14 -51.92 -0.42 0.46 16 45 H 0.07 0.83 8.06 -51.93 -0.42 0.41 16 46 H 0.07 1.01 8.14 -51.93 -0.42 0.59 16 47 H 0.06 0.72 8.14 -51.93 -0.42 0.30 16 48 H 0.07 1.27 5.79 -51.93 -0.30 0.97 16 49 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 50 H 0.09 1.30 8.14 -51.93 -0.42 0.88 16 51 H 0.09 1.21 5.30 -51.93 -0.28 0.93 16 52 H 0.37 6.91 5.76 -40.82 -0.24 6.68 16 53 H 0.28 7.05 8.31 -40.82 -0.34 6.71 16 LS Contribution 399.20 15.07 6.02 6.02 Total: -1.00 -30.28 399.20 -9.04 -39.32 By element: Atomic # 1 Polarization: 27.20 SS G_CDS: -8.75 Total: 18.45 kcal Atomic # 6 Polarization: 7.52 SS G_CDS: 0.04 Total: 7.55 kcal Atomic # 7 Polarization: -60.69 SS G_CDS: -1.77 Total: -62.45 kcal Atomic # 8 Polarization: -22.28 SS G_CDS: 0.14 Total: -22.14 kcal Atomic # 14 Polarization: 17.97 SS G_CDS: -4.72 Total: 13.25 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -30.28 -9.04 -39.32 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. ZINC001267282248.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 0.753 kcal (2) G-P(sol) polarization free energy of solvation -30.278 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -29.525 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.040 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.317 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.564 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds