Wall clock time and date at job start Sat Apr 11 2020 06:08:13 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 C 1.53003 * 1 3 3 C 1.52997 * 109.46860 * 2 1 4 4 S 1.81393 * 109.47429 * 239.99690 * 2 1 3 5 5 C 1.81404 * 103.00199 * 294.99899 * 4 2 1 6 6 C 1.50699 * 109.47153 * 179.97438 * 5 4 2 7 7 O 1.21284 * 120.00132 * 0.02562 * 6 5 4 8 8 N 1.34771 * 119.99980 * 179.97438 * 6 5 4 9 9 C 1.46931 * 120.64284 * 359.72544 * 8 6 5 10 10 C 1.52755 * 109.01852 * 233.61009 * 9 8 6 11 11 C 1.53032 * 109.40435 * 305.59951 * 10 9 8 12 12 C 1.53037 * 109.44064 * 181.11652 * 11 10 9 13 13 C 1.53187 * 109.33274 * 58.68650 * 12 11 10 14 14 N 1.46930 * 108.76837 * 54.64413 * 13 12 11 15 15 C 1.36936 * 120.64462 * 126.33737 * 14 13 12 16 16 H 1.08006 * 119.99724 * 331.87274 * 15 14 13 17 17 C 1.38807 * 120.00242 * 151.86318 * 15 14 13 18 18 N 1.31615 * 120.00558 * 343.06763 * 17 15 14 19 19 Si 1.86808 * 119.99871 * 163.06672 * 17 15 14 20 20 H 1.48500 * 109.46990 * 0.02562 * 19 17 15 21 21 H 1.48499 * 109.47100 * 120.00496 * 19 17 15 22 22 H 1.48504 * 109.46900 * 240.00079 * 19 17 15 23 23 C 1.46925 * 118.72347 * 306.36237 * 14 13 12 24 24 C 1.53031 * 109.45822 * 301.18350 * 11 10 9 25 25 C 1.53045 * 109.54435 * 61.17592 * 11 10 9 26 26 C 1.46931 * 120.64582 * 180.02562 * 8 6 5 27 27 H 1.09002 * 109.46600 * 179.97438 * 1 2 3 28 28 H 1.08994 * 109.47564 * 300.00106 * 1 2 3 29 29 H 1.08997 * 109.46857 * 60.00669 * 1 2 3 30 30 H 1.09006 * 109.46844 * 119.99505 * 2 1 3 31 31 H 1.09000 * 109.47648 * 60.00067 * 3 2 1 32 32 H 1.09004 * 109.46946 * 179.97438 * 3 2 1 33 33 H 1.08994 * 109.47232 * 299.99669 * 3 2 1 34 34 H 1.09000 * 109.47200 * 299.99904 * 5 4 2 35 35 H 1.09006 * 109.46927 * 59.99971 * 5 4 2 36 36 H 1.09007 * 109.58752 * 353.44652 * 9 8 6 37 37 H 1.09006 * 109.58917 * 113.86816 * 9 8 6 38 38 H 1.09003 * 109.56449 * 185.55845 * 10 9 8 39 39 H 1.09002 * 109.35894 * 65.51339 * 10 9 8 40 40 H 1.08999 * 109.50013 * 178.64363 * 12 11 10 41 41 H 1.09005 * 109.49271 * 298.73268 * 12 11 10 42 42 H 1.08996 * 109.59052 * 294.86405 * 13 12 11 43 43 H 1.08990 * 109.71109 * 174.49863 * 13 12 11 44 44 H 0.96993 * 120.00466 * 179.97438 * 18 17 15 45 45 H 1.08998 * 109.58244 * 293.84116 * 23 14 13 46 46 H 1.08994 * 109.70528 * 173.48499 * 23 14 13 47 47 H 1.09001 * 109.49230 * 61.25800 * 24 11 10 48 48 H 1.09003 * 109.49479 * 181.34555 * 24 11 10 49 49 H 1.09006 * 109.49386 * 178.72617 * 25 11 10 50 50 H 1.09001 * 109.49629 * 58.64164 * 25 11 10 51 51 H 1.08998 * 109.58441 * 246.11970 * 26 8 6 52 52 H 1.09002 * 109.58592 * 6.40155 * 26 8 6 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 16 2.1348 -0.8552 -1.4810 5 6 1.5666 -2.5594 -1.2288 6 6 1.9976 -3.4104 -2.3955 7 8 2.6266 -2.9161 -3.3070 8 7 1.6850 -4.7210 -2.4253 9 6 0.9298 -5.3360 -1.3252 10 6 1.7002 -6.5504 -0.8103 11 6 1.9958 -7.4967 -1.9761 12 6 2.7432 -8.7269 -1.4566 13 6 1.8897 -9.4283 -0.3954 14 7 0.5695 -9.7225 -0.9693 15 6 0.0630 -10.9943 -0.9389 16 1 0.7322 -11.8421 -0.9314 17 6 -1.3105 -11.1941 -0.9176 18 7 -2.1147 -10.2039 -0.5938 19 14 -2.0175 -12.8687 -1.3485 20 1 -0.9111 -13.8044 -1.6733 21 1 -2.7860 -13.3941 -0.1915 22 1 -2.9175 -12.7388 -2.5226 23 6 -0.1966 -8.6259 -1.5768 24 6 0.6802 -7.9330 -2.6247 25 6 2.8607 -6.7767 -3.0133 26 6 2.0986 -5.5640 -3.5554 27 1 -0.3632 -1.0277 -0.0005 28 1 -0.3634 0.5138 0.8899 29 1 -0.3633 0.5137 -0.8900 30 1 1.8933 -0.5138 0.8901 31 1 1.6767 1.9564 0.8900 32 1 3.1300 1.4425 0.0005 33 1 1.6767 1.9563 -0.8900 34 1 2.0003 -2.9548 -0.3103 35 1 0.4793 -2.5723 -1.1522 36 1 0.8067 -4.6140 -0.5179 37 1 -0.0485 -5.6537 -1.6863 38 1 1.1030 -7.0710 -0.0617 39 1 2.6378 -6.2204 -0.3631 40 1 2.9331 -9.4128 -2.2822 41 1 3.6906 -8.4174 -1.0151 42 1 1.7746 -8.7763 0.4704 43 1 2.3713 -10.3576 -0.0915 44 1 -3.0744 -10.3434 -0.5793 45 1 -0.4814 -7.9088 -0.8069 46 1 -1.0918 -9.0236 -2.0547 47 1 0.1591 -7.0584 -3.0142 48 1 0.8887 -8.6258 -3.4400 49 1 3.0896 -7.4585 -3.8325 50 1 3.7878 -6.4444 -2.5463 51 1 1.2175 -5.9007 -4.1017 52 1 2.7445 -4.9916 -4.2211 RHF calculation, no. of doubly occupied orbitals= 63 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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 ZINC001570484526.mol2 52 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 06:08:13 Heat of formation + Delta-G solvation = -24.905665 kcal Electronic energy + Delta-G solvation = -28840.158380 eV Core-core repulsion = 25158.869001 eV Total energy + Delta-G solvation = -3681.289378 eV No. of doubly occupied orbitals = 63 Molecular weight (most abundant/longest-lived isotopes) = 340.193 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -40.57298 -38.74803 -35.93653 -35.07452 -33.67643 -31.93327 -30.92873 -30.06884 -29.80902 -27.95389 -27.44371 -24.99043 -23.49214 -23.12684 -22.25565 -21.98398 -20.72869 -19.37214 -17.83044 -17.34313 -16.75585 -16.46091 -15.92069 -15.61900 -15.05175 -14.97334 -14.53257 -14.21775 -14.15967 -14.05041 -13.99679 -13.70369 -13.40186 -13.34709 -13.01423 -12.87184 -12.63136 -12.45861 -12.29059 -11.79797 -11.66344 -11.60568 -11.53044 -11.49688 -11.47464 -11.12338 -11.04796 -10.74954 -10.59080 -10.39605 -10.14840 -10.11681 -9.96158 -9.87157 -9.73629 -9.57297 -9.37990 -8.58044 -8.45125 -7.84200 -6.67296 -5.82168 -3.23799 1.24630 2.29300 2.50679 2.98685 3.34229 3.42769 3.44591 4.30365 4.42261 4.47057 4.51219 4.74134 4.80519 4.89091 4.95998 5.02936 5.05001 5.20976 5.21912 5.31949 5.32838 5.37997 5.38249 5.41157 5.48256 5.48876 5.67105 5.76943 5.78385 5.78724 5.87555 5.90897 5.95061 6.08762 6.10051 6.19373 6.26537 6.34146 6.50688 6.53895 6.60542 6.72964 6.78616 6.87361 6.96301 7.31713 7.35291 7.63178 7.77500 8.05831 8.42637 9.19271 9.82731 10.39306 11.26156 Molecular weight = 340.19amu Principal moments of inertia in cm(-1) A = 0.019330 B = 0.002500 C = 0.002349 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1448.173034 B =11196.953575 C =11916.966972 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.082 4.082 3 C -0.131 4.131 4 S -0.184 6.184 5 C -0.125 4.125 6 C 0.531 3.469 7 O -0.529 6.529 8 N -0.601 5.601 9 C 0.104 3.896 10 C -0.125 4.125 11 C -0.046 4.046 12 C -0.121 4.121 13 C 0.145 3.855 14 N -0.591 5.591 15 C -0.249 4.249 16 H 0.064 0.936 17 C 0.002 3.998 18 N -0.903 5.903 19 Si 0.900 3.100 20 H -0.278 1.278 21 H -0.291 1.291 22 H -0.289 1.289 23 C 0.172 3.828 24 C -0.134 4.134 25 C -0.123 4.123 26 C 0.113 3.887 27 H 0.056 0.944 28 H 0.064 0.936 29 H 0.068 0.932 30 H 0.086 0.914 31 H 0.070 0.930 32 H 0.065 0.935 33 H 0.065 0.935 34 H 0.109 0.891 35 H 0.109 0.891 36 H 0.076 0.924 37 H 0.080 0.920 38 H 0.092 0.908 39 H 0.057 0.943 40 H 0.058 0.942 41 H 0.048 0.952 42 H 0.018 0.982 43 H 0.050 0.950 44 H 0.252 0.748 45 H 0.019 0.981 46 H 0.084 0.916 47 H 0.049 0.951 48 H 0.055 0.945 49 H 0.073 0.927 50 H 0.060 0.940 51 H 0.072 0.928 52 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.676 18.012 1.041 19.238 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 -0.208 4.208 2 C -0.211 4.211 3 C -0.189 4.189 4 S 0.042 5.958 5 C -0.276 4.276 6 C 0.317 3.683 7 O -0.406 6.406 8 N -0.335 5.335 9 C -0.018 4.018 10 C -0.163 4.163 11 C -0.046 4.046 12 C -0.161 4.161 13 C 0.018 3.982 14 N -0.314 5.314 15 C -0.379 4.379 16 H 0.082 0.918 17 C -0.197 4.197 18 N -0.548 5.548 19 Si 0.730 3.270 20 H -0.203 1.203 21 H -0.218 1.218 22 H -0.216 1.216 23 C 0.047 3.953 24 C -0.173 4.173 25 C -0.161 4.161 26 C -0.009 4.009 27 H 0.075 0.925 28 H 0.083 0.917 29 H 0.087 0.913 30 H 0.105 0.895 31 H 0.089 0.911 32 H 0.084 0.916 33 H 0.084 0.916 34 H 0.127 0.873 35 H 0.128 0.872 36 H 0.095 0.905 37 H 0.099 0.901 38 H 0.110 0.890 39 H 0.076 0.924 40 H 0.077 0.923 41 H 0.066 0.934 42 H 0.036 0.964 43 H 0.069 0.931 44 H 0.062 0.938 45 H 0.036 0.964 46 H 0.102 0.898 47 H 0.068 0.932 48 H 0.073 0.927 49 H 0.091 0.909 50 H 0.079 0.921 51 H 0.090 0.910 52 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges 7.409 18.658 -0.275 20.077 hybrid contribution -1.249 -1.572 0.999 2.243 sum 6.160 17.086 0.724 18.177 Atomic orbital electron populations 1.22109 0.93248 1.02455 1.02985 1.23254 0.99017 0.99953 0.98853 1.21561 1.01831 0.92811 1.02720 1.87439 1.74614 1.03687 1.30057 1.23559 1.05652 0.96609 1.01818 1.19598 0.79699 0.82086 0.86870 1.90719 1.39999 1.71981 1.37911 1.48053 1.55279 1.07660 1.22481 1.21831 0.95815 0.95629 0.88555 1.21958 1.00327 0.95072 0.98951 1.20375 0.96005 0.94210 0.94050 1.22040 0.97440 0.96365 1.00229 1.20920 0.87318 0.97040 0.92876 1.44030 1.15746 1.06056 1.65558 1.19219 0.90012 0.83635 1.45030 0.91799 1.25015 0.96928 0.97222 1.00496 1.70022 1.02807 1.31276 1.50691 0.86263 0.78951 0.84003 0.77798 1.20303 1.21778 1.21595 1.20767 0.93791 0.88687 0.92102 1.22343 0.95681 0.99241 1.00076 1.22009 0.98396 0.96228 0.99498 1.21662 0.99782 0.91345 0.88069 0.92520 0.91747 0.91255 0.89548 0.91141 0.91631 0.91637 0.87318 0.87236 0.90540 0.90139 0.88985 0.92432 0.92295 0.93374 0.96415 0.93099 0.93762 0.96350 0.89787 0.93204 0.92654 0.90888 0.92142 0.90964 0.89452 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 -1.04 9.10 37.16 0.34 -0.70 16 2 C -0.08 -0.64 3.38 -26.73 -0.09 -0.73 16 3 C -0.13 -0.88 9.20 37.16 0.34 -0.54 16 4 S -0.18 -2.10 20.29 -107.50 -2.18 -4.28 16 5 C -0.13 -1.32 4.47 36.01 0.16 -1.16 16 6 C 0.53 7.29 7.72 -10.99 -0.08 7.20 16 7 O -0.53 -9.09 15.28 5.55 0.08 -9.00 16 8 N -0.60 -7.74 2.98 -173.05 -0.52 -8.26 16 9 C 0.10 1.25 5.85 -3.93 -0.02 1.23 16 10 C -0.13 -1.71 4.13 -26.84 -0.11 -1.82 16 11 C -0.05 -0.68 0.51 -154.43 -0.08 -0.76 16 12 C -0.12 -1.97 4.90 -26.62 -0.13 -2.10 16 13 C 0.14 2.84 6.05 -3.71 -0.02 2.82 16 14 N -0.59 -13.93 2.99 -172.33 -0.52 -14.45 16 15 C -0.25 -6.61 9.58 -15.06 -0.14 -6.76 16 16 H 0.06 1.69 7.89 -52.48 -0.41 1.28 16 17 C 0.00 0.05 4.92 -17.43 -0.09 -0.04 16 18 N -0.90 -25.28 11.19 55.49 0.62 -24.66 16 19 Si 0.90 21.26 29.59 -169.99 -5.03 16.23 16 20 H -0.28 -6.45 7.11 56.52 0.40 -6.05 16 21 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 22 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 23 C 0.17 3.76 4.84 -3.71 -0.02 3.74 16 24 C -0.13 -2.31 4.14 -26.61 -0.11 -2.42 16 25 C -0.12 -1.62 4.90 -26.63 -0.13 -1.75 16 26 C 0.11 1.49 5.97 -3.73 -0.02 1.47 16 27 H 0.06 0.39 6.92 -51.93 -0.36 0.04 16 28 H 0.06 0.37 8.14 -51.93 -0.42 -0.06 16 29 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 30 H 0.09 0.62 8.14 -51.92 -0.42 0.20 16 31 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 33 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.11 0.97 7.68 -51.92 -0.40 0.57 16 35 H 0.11 0.98 6.96 -51.92 -0.36 0.62 16 36 H 0.08 0.74 5.94 -51.92 -0.31 0.43 16 37 H 0.08 1.04 6.73 -51.93 -0.35 0.69 16 38 H 0.09 1.45 4.99 -51.93 -0.26 1.19 16 39 H 0.06 0.74 8.14 -51.93 -0.42 0.32 16 40 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 41 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 42 H 0.02 0.35 6.66 -51.93 -0.35 0.00 16 43 H 0.05 1.01 7.93 -51.93 -0.41 0.59 16 44 H 0.25 6.85 8.31 -40.82 -0.34 6.52 16 45 H 0.02 0.41 6.72 -51.93 -0.35 0.06 16 46 H 0.08 2.13 6.06 -51.93 -0.31 1.82 16 47 H 0.05 0.79 5.00 -51.93 -0.26 0.53 16 48 H 0.05 1.02 8.14 -51.93 -0.42 0.59 16 49 H 0.07 0.93 8.14 -51.93 -0.42 0.50 16 50 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 51 H 0.07 0.94 6.66 -51.93 -0.35 0.59 16 52 H 0.09 1.21 7.00 -51.93 -0.36 0.84 16 LS Contribution 392.45 15.07 5.91 5.91 Total: -1.00 -30.36 392.45 -10.88 -41.24 By element: Atomic # 1 Polarization: 8.63 SS G_CDS: -9.05 Total: -0.42 kcal Atomic # 6 Polarization: -2.10 SS G_CDS: -0.21 Total: -2.31 kcal Atomic # 7 Polarization: -46.95 SS G_CDS: -0.41 Total: -47.36 kcal Atomic # 8 Polarization: -9.09 SS G_CDS: 0.08 Total: -9.00 kcal Atomic # 14 Polarization: 21.26 SS G_CDS: -5.03 Total: 16.23 kcal Atomic # 16 Polarization: -2.10 SS G_CDS: -2.18 Total: -4.28 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -30.36 -10.88 -41.24 kcal The number of atoms in the molecule is 52 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. ZINC001570484526.mol2 52 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 16.331 kcal (2) G-P(sol) polarization free energy of solvation -30.356 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -14.024 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.881 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.237 kcal (6) G-S(sol) free energy of system = (1) + (5) -24.906 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds