Wall clock time and date at job start Tue Mar 31 2020 22:52:09 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 1.52990 * 1 3 3 C 1.52998 * 109.47661 * 2 1 4 4 O 1.42901 * 109.47205 * 120.00576 * 2 1 3 5 5 C 1.42902 * 114.00470 * 89.99594 * 4 2 1 6 6 H 1.09002 * 112.90728 * 18.74847 * 5 4 2 7 7 C 1.53778 * 113.61376 * 247.50128 * 5 4 2 8 8 C 1.53782 * 87.07782 * 270.88215 * 7 5 4 9 9 H 1.09013 * 113.68889 * 220.00963 * 8 7 5 10 10 N 1.46497 * 113.61789 * 89.11862 * 8 7 5 11 11 C 1.34781 * 119.99966 * 107.49586 * 10 8 7 12 12 O 1.21584 * 120.00062 * 0.02562 * 11 10 8 13 13 N 1.34777 * 119.99807 * 180.02562 * 11 10 8 14 14 C 1.47429 * 125.64839 * 359.97438 * 13 11 10 15 15 C 1.54909 * 104.83087 * 155.90473 * 14 13 11 16 16 C 1.55161 * 101.58217 * 37.01238 * 15 14 13 17 17 O 1.42902 * 110.72095 * 83.03709 * 16 15 14 18 18 C 1.50701 * 110.72134 * 206.13543 * 16 15 14 19 19 H 1.07999 * 120.00039 * 117.20642 * 18 16 15 20 20 C 1.37876 * 119.99596 * 297.20824 * 18 16 15 21 21 N 1.31518 * 119.99642 * 186.11382 * 20 18 16 22 22 Si 1.86799 * 120.00288 * 6.11945 * 20 18 16 23 23 H 1.48496 * 109.47084 * 84.88215 * 22 20 18 24 24 H 1.48499 * 109.46937 * 204.88154 * 22 20 18 25 25 H 1.48500 * 109.46923 * 324.88088 * 22 20 18 26 26 C 1.47313 * 125.61446 * 180.20099 * 13 11 10 27 27 C 1.53777 * 87.08244 * 334.56554 * 8 7 5 28 28 C 1.53004 * 113.61392 * 139.98200 * 27 8 7 29 29 C 1.52999 * 113.61909 * 270.80237 * 27 8 7 30 30 H 1.09006 * 109.47550 * 180.02562 * 1 2 3 31 31 H 1.09007 * 109.47359 * 299.99694 * 1 2 3 32 32 H 1.08998 * 109.47304 * 59.99786 * 1 2 3 33 33 H 1.09004 * 109.46889 * 239.99709 * 2 1 3 34 34 H 1.08997 * 109.47567 * 180.02562 * 3 2 1 35 35 H 1.08998 * 109.46936 * 300.00439 * 3 2 1 36 36 H 1.08999 * 109.46799 * 59.99749 * 3 2 1 37 37 H 1.09001 * 113.61195 * 156.33341 * 7 5 4 38 38 H 1.09000 * 113.61787 * 25.43109 * 7 5 4 39 39 H 0.97001 * 120.00011 * 287.50507 * 10 8 7 40 40 H 1.09005 * 110.36516 * 37.07156 * 14 13 11 41 41 H 1.08994 * 110.46374 * 274.79406 * 14 13 11 42 42 H 1.08999 * 111.00233 * 278.94042 * 15 14 13 43 43 H 1.09000 * 111.03993 * 155.10019 * 15 14 13 44 44 H 0.96700 * 113.99815 * 182.44505 * 17 16 15 45 45 H 0.97002 * 120.00006 * 179.97438 * 21 20 18 46 46 H 1.08997 * 110.06723 * 61.68653 * 26 13 11 47 47 H 1.08997 * 109.85257 * 300.42129 * 26 13 11 48 48 H 1.08998 * 109.46993 * 59.99826 * 28 27 8 49 49 H 1.08998 * 109.47369 * 180.02562 * 28 27 8 50 50 H 1.09007 * 109.46952 * 300.00609 * 28 27 8 51 51 H 1.09000 * 109.47169 * 59.99751 * 29 27 8 52 52 H 1.08996 * 109.46906 * 180.02562 * 29 27 8 53 53 H 1.09000 * 109.47211 * 299.99824 * 29 27 8 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4424 0.0000 4 8 2.0063 -0.6738 1.1667 5 6 2.2000 -2.0783 0.9885 6 1 2.2722 -2.3670 -0.0601 7 6 1.2203 -2.9430 1.7994 8 6 2.2463 -2.8927 2.9439 9 1 2.3568 -3.8383 3.4749 10 7 2.0648 -1.7521 3.8451 11 6 1.5763 -1.9450 5.0863 12 8 1.2866 -3.0657 5.4582 13 7 1.4088 -0.8955 5.9152 14 6 1.7181 0.5100 5.5952 15 6 0.8183 1.3400 6.5446 16 6 0.8505 0.4798 7.8355 17 8 2.0216 0.7640 8.6035 18 6 -0.3919 0.7057 8.6579 19 1 -1.0743 -0.1112 8.8409 20 6 -0.6574 1.9553 9.1766 21 7 -1.6749 2.1260 9.9923 22 14 0.4278 3.4057 8.7207 23 1 -0.0415 3.9916 7.4395 24 1 0.3560 4.4331 9.7906 25 1 1.8316 2.9454 8.5699 26 6 0.8908 -0.9643 7.2925 27 6 3.3193 -2.6621 1.8667 28 6 4.3809 -1.6363 2.2688 29 6 3.9219 -3.9557 1.3150 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8901 32 1 -0.3634 0.5138 -0.8899 33 1 1.8932 -0.5139 -0.8900 34 1 3.1300 1.4424 -0.0005 35 1 1.6767 1.9563 -0.8899 36 1 1.6767 1.9563 0.8900 37 1 1.0749 -3.9414 1.3870 38 1 0.2822 -2.4390 2.0316 39 1 2.2961 -0.8580 3.5484 40 1 1.4724 0.7252 4.5553 41 1 2.7698 0.7221 5.7875 42 1 -0.1957 1.4184 6.1525 43 1 1.2436 2.3277 6.7226 44 1 2.1085 0.2256 9.4020 45 1 -1.8615 3.0050 10.3575 46 1 1.5502 -1.5741 7.9101 47 1 -0.1137 -1.3874 7.2895 48 1 4.8920 -1.9764 3.1694 49 1 5.1036 -1.5254 1.4604 50 1 3.9031 -0.6760 2.4629 51 1 3.1345 -4.5606 0.8655 52 1 4.6709 -3.7148 0.5607 53 1 4.3901 -4.5133 2.1262 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 ZINC000592011620.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 22:52:09 Heat of formation + Delta-G solvation = -93.332762 kcal Electronic energy + Delta-G solvation = -32265.667963 eV Core-core repulsion = 28138.658492 eV Total energy + Delta-G solvation = -4127.009471 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -40.95535 -39.41200 -37.73991 -37.08207 -34.45554 -33.13911 -32.48161 -32.38826 -30.67100 -29.95992 -28.28424 -27.46142 -27.45369 -25.52835 -24.15647 -22.80361 -22.36481 -21.59637 -19.96753 -19.47060 -19.02825 -17.77986 -17.32503 -16.58506 -16.00430 -15.62837 -15.42477 -15.28248 -14.92301 -14.79983 -14.44586 -14.23585 -13.78439 -13.54231 -13.47190 -13.22739 -13.15255 -12.90411 -12.64282 -12.58572 -12.47273 -12.38813 -12.36194 -12.14710 -12.07719 -12.01324 -11.61082 -11.48837 -11.32474 -11.27130 -11.08069 -10.89107 -10.70061 -10.56349 -10.26049 -10.15347 -10.03965 -9.65378 -9.59995 -9.01218 -8.80313 -8.72944 -8.46187 -7.95663 -6.20446 -4.31566 2.92541 3.28664 3.30216 3.41947 3.58968 3.59787 4.16097 4.34290 4.40190 4.42643 4.62175 4.73679 4.77337 4.81998 4.90311 4.97403 5.04316 5.09281 5.20873 5.33496 5.34593 5.37855 5.41263 5.44215 5.54931 5.56626 5.58885 5.65625 5.66637 5.70983 5.76429 5.79897 5.85767 5.91541 5.92390 5.96884 5.99488 6.11650 6.16042 6.21909 6.52255 6.63791 6.69086 6.72777 6.84484 7.09041 7.17786 7.44385 7.58185 8.20612 8.42248 8.76307 8.92876 9.02470 9.42908 10.90066 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013943 B = 0.003338 C = 0.002992 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2007.624347 B = 8385.957258 C = 9356.580638 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.176 4.176 2 C 0.085 3.915 3 C -0.152 4.152 4 O -0.356 6.356 5 C 0.075 3.925 6 H 0.072 0.928 7 C -0.177 4.177 8 C 0.160 3.840 9 H 0.100 0.900 10 N -0.722 5.722 11 C 0.720 3.280 12 O -0.600 6.600 13 N -0.628 5.628 14 C 0.104 3.896 15 C -0.124 4.124 16 C 0.216 3.784 17 O -0.573 6.573 18 C -0.551 4.551 19 H 0.079 0.921 20 C 0.089 3.911 21 N -0.887 5.887 22 Si 0.875 3.125 23 H -0.283 1.283 24 H -0.300 1.300 25 H -0.228 1.228 26 C 0.116 3.884 27 C -0.097 4.097 28 C -0.131 4.131 29 C -0.124 4.124 30 H 0.057 0.943 31 H 0.065 0.935 32 H 0.062 0.938 33 H 0.058 0.942 34 H 0.061 0.939 35 H 0.067 0.933 36 H 0.066 0.934 37 H 0.095 0.905 38 H 0.079 0.921 39 H 0.401 0.599 40 H 0.061 0.939 41 H 0.063 0.937 42 H 0.087 0.913 43 H 0.074 0.926 44 H 0.366 0.634 45 H 0.267 0.733 46 H 0.056 0.944 47 H 0.071 0.929 48 H 0.056 0.944 49 H 0.053 0.947 50 H 0.067 0.933 51 H 0.060 0.940 52 H 0.061 0.939 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.664 -5.355 -23.083 25.985 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 -0.234 4.234 2 C 0.027 3.973 3 C -0.209 4.209 4 O -0.275 6.275 5 C 0.016 3.984 6 H 0.090 0.910 7 C -0.216 4.216 8 C 0.052 3.948 9 H 0.118 0.882 10 N -0.378 5.378 11 C 0.422 3.578 12 O -0.480 6.480 13 N -0.365 5.365 14 C -0.019 4.019 15 C -0.162 4.162 16 C 0.176 3.824 17 O -0.380 6.380 18 C -0.588 4.588 19 H 0.097 0.903 20 C -0.116 4.116 21 N -0.523 5.523 22 Si 0.703 3.297 23 H -0.210 1.210 24 H -0.228 1.228 25 H -0.151 1.151 26 C -0.006 4.006 27 C -0.098 4.098 28 C -0.188 4.188 29 C -0.182 4.182 30 H 0.076 0.924 31 H 0.085 0.915 32 H 0.081 0.919 33 H 0.076 0.924 34 H 0.080 0.920 35 H 0.086 0.914 36 H 0.085 0.915 37 H 0.113 0.887 38 H 0.098 0.902 39 H 0.238 0.762 40 H 0.079 0.921 41 H 0.081 0.919 42 H 0.105 0.895 43 H 0.092 0.908 44 H 0.213 0.787 45 H 0.076 0.924 46 H 0.074 0.926 47 H 0.089 0.911 48 H 0.075 0.925 49 H 0.072 0.928 50 H 0.085 0.915 51 H 0.079 0.921 52 H 0.080 0.920 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 10.489 -5.584 -23.027 25.912 hybrid contribution 0.126 0.804 -0.167 0.831 sum 10.615 -4.780 -23.194 25.951 Atomic orbital electron populations 1.22339 0.95905 1.02460 1.02651 1.22166 0.93727 0.93698 0.87662 1.21882 1.01706 0.94553 1.02734 1.87838 1.85510 1.18677 1.35493 1.23242 0.95814 0.81608 0.97695 0.90995 1.23998 0.99396 1.00357 0.97894 1.21542 0.94010 0.90374 0.88831 0.88207 1.44741 1.70025 1.10481 1.12571 1.15447 0.78523 0.83707 0.80100 1.90868 1.58624 1.22125 1.76371 1.47722 1.67493 1.05816 1.15450 1.22266 0.99496 0.81480 0.98683 1.23068 0.99635 0.98266 0.95241 1.19969 0.85463 0.88131 0.88859 1.86474 1.46208 1.65389 1.39921 1.21213 1.06282 0.97809 1.33544 0.90313 1.24946 0.94439 0.99121 0.93117 1.69941 1.28709 1.23879 1.29745 0.87066 0.84287 0.81066 0.77246 1.21018 1.22768 1.15126 1.22684 0.98535 0.99801 0.79608 1.22549 0.94700 0.96581 0.95990 1.21524 0.97424 0.98881 1.00970 1.21536 1.00611 0.94884 1.01124 0.92439 0.91548 0.91905 0.92380 0.92023 0.91371 0.91514 0.88678 0.90206 0.76190 0.92063 0.91906 0.89478 0.90760 0.78674 0.92362 0.92574 0.91063 0.92457 0.92807 0.91459 0.92070 0.91981 0.91475 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -1.46 9.53 37.15 0.35 -1.11 16 2 C 0.08 0.69 3.33 -26.74 -0.09 0.60 16 3 C -0.15 -1.12 9.56 37.16 0.36 -0.77 16 4 O -0.36 -3.56 7.21 -35.23 -0.25 -3.81 16 5 C 0.07 0.68 3.75 -25.92 -0.10 0.58 16 6 H 0.07 0.54 7.42 -51.93 -0.39 0.15 16 7 C -0.18 -1.87 7.36 -25.92 -0.19 -2.06 16 8 C 0.16 1.99 3.78 -67.12 -0.25 1.74 16 9 H 0.10 1.41 7.42 -51.92 -0.39 1.02 16 10 N -0.72 -10.71 4.62 -57.88 -0.27 -10.98 16 11 C 0.72 13.80 8.49 -86.91 -0.74 13.06 16 12 O -0.60 -13.49 16.27 5.29 0.09 -13.40 16 13 N -0.63 -12.18 3.33 -176.00 -0.59 -12.77 16 14 C 0.10 1.81 6.57 -2.53 -0.02 1.79 16 15 C -0.12 -2.55 4.81 -24.58 -0.12 -2.67 16 16 C 0.22 4.88 0.68 -89.93 -0.06 4.82 16 17 O -0.57 -12.54 10.47 -35.23 -0.37 -12.91 16 18 C -0.55 -14.81 8.80 -34.44 -0.30 -15.11 16 19 H 0.08 2.32 7.80 -52.49 -0.41 1.91 16 20 C 0.09 2.47 5.47 -17.82 -0.10 2.37 16 21 N -0.89 -26.32 13.96 55.43 0.77 -25.55 16 22 Si 0.88 21.09 23.95 -169.99 -4.07 17.02 16 23 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 24 H -0.30 -7.38 7.11 56.52 0.40 -6.98 16 25 H -0.23 -5.35 5.41 56.52 0.31 -5.04 16 26 C 0.12 2.50 6.24 -2.90 -0.02 2.48 16 27 C -0.10 -0.90 1.34 -153.70 -0.21 -1.11 16 28 C -0.13 -1.25 8.43 37.16 0.31 -0.94 16 29 C -0.12 -0.89 9.07 37.16 0.34 -0.56 16 30 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 32 H 0.06 0.43 8.14 -51.93 -0.42 0.00 16 33 H 0.06 0.40 7.42 -51.93 -0.39 0.02 16 34 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 36 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 37 H 0.09 0.83 7.66 -51.93 -0.40 0.43 16 38 H 0.08 1.00 8.14 -51.93 -0.42 0.58 16 39 H 0.40 5.53 4.58 -40.82 -0.19 5.34 16 40 H 0.06 0.92 7.30 -51.93 -0.38 0.54 16 41 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 42 H 0.09 1.83 8.04 -51.93 -0.42 1.41 16 43 H 0.07 1.54 4.95 -51.93 -0.26 1.28 16 44 H 0.37 7.06 9.09 45.56 0.41 7.47 16 45 H 0.27 7.46 8.31 -40.82 -0.34 7.12 16 46 H 0.06 1.18 8.07 -51.93 -0.42 0.76 16 47 H 0.07 1.64 7.65 -51.93 -0.40 1.25 16 48 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 49 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 50 H 0.07 0.71 5.68 -51.93 -0.29 0.42 16 51 H 0.06 0.39 7.35 -51.93 -0.38 0.00 16 52 H 0.06 0.38 8.14 -51.93 -0.42 -0.04 16 53 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 LS Contribution 403.06 15.07 6.07 6.07 Total: -1.00 -32.43 403.06 -8.03 -40.45 By element: Atomic # 1 Polarization: 21.33 SS G_CDS: -8.59 Total: 12.74 kcal Atomic # 6 Polarization: 3.95 SS G_CDS: -0.83 Total: 3.13 kcal Atomic # 7 Polarization: -49.22 SS G_CDS: -0.08 Total: -49.30 kcal Atomic # 8 Polarization: -29.58 SS G_CDS: -0.54 Total: -30.12 kcal Atomic # 14 Polarization: 21.09 SS G_CDS: -4.07 Total: 17.02 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -32.43 -8.03 -40.45 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. ZINC000592011620.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 -52.878 kcal (2) G-P(sol) polarization free energy of solvation -32.427 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.305 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.028 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.454 kcal (6) G-S(sol) free energy of system = (1) + (5) -93.333 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds