Wall clock time and date at job start Wed Apr 1 2020 01:34:34 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 1.53010 * 1 3 3 H 1.08998 * 109.47002 * 2 1 4 4 N 1.46502 * 109.47115 * 240.00119 * 2 1 3 5 5 C 1.36936 * 120.00167 * 84.99576 * 4 2 1 6 6 H 1.08001 * 119.99891 * 0.02562 * 5 4 2 7 7 C 1.38812 * 120.00258 * 179.97438 * 5 4 2 8 8 N 1.31624 * 119.99590 * 0.02562 * 7 5 4 9 9 Si 1.86792 * 120.00021 * 180.02562 * 7 5 4 10 10 H 1.48494 * 109.47472 * 0.02562 * 9 7 5 11 11 H 1.48498 * 109.47136 * 120.00445 * 9 7 5 12 12 H 1.48508 * 109.47111 * 240.00220 * 9 7 5 13 13 C 1.53005 * 109.46870 * 120.00150 * 2 1 3 14 14 C 1.53038 * 109.45832 * 300.00039 * 13 2 1 15 15 C 1.53189 * 109.31121 * 178.63270 * 14 13 2 16 16 N 1.46923 * 108.77942 * 54.63199 * 15 14 13 17 17 C 1.34778 * 120.63379 * 126.36791 * 16 15 14 18 18 O 1.21282 * 119.99476 * 0.02562 * 17 16 15 19 19 C 1.50702 * 120.00161 * 180.02562 * 17 16 15 20 20 O 1.42899 * 109.46980 * 180.02562 * 19 17 16 21 21 C 1.42894 * 114.00036 * 179.97438 * 20 19 17 22 22 C 1.52998 * 109.47386 * 180.02562 * 21 20 19 23 23 H 1.09002 * 109.87039 * 54.30000 * 22 21 20 24 24 C 1.54104 * 109.88136 * 175.30881 * 22 21 20 25 25 C 1.54805 * 104.18715 * 121.60340 * 24 22 21 26 26 C 1.54993 * 102.09764 * 20.87963 * 25 24 22 27 27 O 1.43741 * 110.00290 * 293.21266 * 22 21 20 28 28 C 1.46933 * 118.73680 * 306.64889 * 16 15 14 29 29 C 1.52755 * 109.00910 * 53.30661 * 28 16 15 30 30 H 1.09003 * 109.46727 * 60.00105 * 1 2 3 31 31 H 1.09006 * 109.46890 * 179.97438 * 1 2 3 32 32 H 1.08991 * 109.46852 * 299.99775 * 1 2 3 33 33 H 0.96998 * 119.99720 * 265.00455 * 4 2 1 34 34 H 0.96999 * 119.99214 * 180.02562 * 8 7 5 35 35 H 1.09002 * 109.46132 * 59.97395 * 13 2 1 36 36 H 1.09001 * 109.50114 * 58.67924 * 14 13 2 37 37 H 1.09000 * 109.49694 * 298.58192 * 14 13 2 38 38 H 1.09006 * 109.58130 * 294.84691 * 15 14 13 39 39 H 1.08996 * 109.59057 * 174.42504 * 15 14 13 40 40 H 1.08996 * 109.47096 * 60.00203 * 19 17 16 41 41 H 1.08997 * 109.47224 * 300.00193 * 19 17 16 42 42 H 1.08997 * 109.47142 * 59.99715 * 21 20 19 43 43 H 1.09004 * 109.47246 * 300.00437 * 21 20 19 44 44 H 1.09004 * 110.48326 * 240.27942 * 24 22 21 45 45 H 1.09003 * 110.48376 * 2.92383 * 24 22 21 46 46 H 1.09004 * 110.90856 * 139.08289 * 25 24 22 47 47 H 1.09010 * 110.90550 * 262.64576 * 25 24 22 48 48 H 1.09000 * 110.61715 * 81.47543 * 26 25 24 49 49 H 1.08993 * 110.61889 * 204.31920 * 26 25 24 50 50 H 1.09002 * 109.58643 * 173.14438 * 28 16 15 51 51 H 1.08998 * 109.58445 * 293.56300 * 28 16 15 52 52 H 1.09001 * 109.56435 * 185.55496 * 29 28 16 53 53 H 1.08994 * 109.38965 * 65.51556 * 29 28 16 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 1.5301 0.0000 0.0000 3 1 1.8934 1.0276 0.0000 4 7 2.0184 -0.6906 -1.1962 5 6 2.1492 -0.0075 -2.3758 6 1 1.8926 1.0405 -2.4242 7 6 2.6124 -0.6617 -3.5091 8 7 2.9255 -1.9388 -3.4499 9 14 2.7913 0.2703 -5.1179 10 1 2.3773 1.6827 -4.9206 11 1 4.2084 0.2275 -5.5598 12 1 1.9310 -0.3582 -6.1525 13 6 2.0401 -0.7213 1.2493 14 6 1.5297 0.0003 2.4986 15 6 2.0138 -0.7441 3.7469 16 7 3.4755 -0.8767 3.6814 17 6 4.2496 -0.4571 4.7018 18 8 3.7405 0.0352 5.6864 19 6 5.7476 -0.5995 4.6193 20 8 6.3412 -0.0871 5.8139 21 6 7.7672 -0.1755 5.8385 22 6 8.2912 0.3982 7.1565 23 1 7.8046 -0.0982 7.9961 24 6 9.8171 0.2011 7.2440 25 6 10.3763 1.6355 7.4056 26 6 9.1401 2.4089 7.9308 27 8 8.0393 1.8123 7.2119 28 6 4.0779 -1.4699 2.4796 29 6 3.5705 -0.7223 1.2480 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5138 0.8899 33 1 2.2491 -1.6318 -1.1526 34 1 3.2495 -2.3958 -4.2418 35 1 1.6762 -1.7488 1.2493 36 1 0.4400 0.0212 2.4872 37 1 1.9135 1.0204 2.5118 38 1 1.5583 -1.7338 3.7816 39 1 1.7375 -0.1811 4.6383 40 1 6.1189 -0.0409 3.7602 41 1 6.0069 -1.6522 4.5078 42 1 8.1809 0.3919 5.0048 43 1 8.0681 -1.2196 5.7520 44 1 10.0739 -0.4084 8.1105 45 1 10.1958 -0.2554 6.3295 46 1 11.1871 1.6572 8.1339 47 1 10.7068 2.0345 6.4465 48 1 9.0225 2.2610 9.0043 49 1 9.2238 3.4703 7.6976 50 1 5.1633 -1.3854 2.5352 51 1 3.7943 -2.5199 2.4090 52 1 3.9332 -1.2158 0.3463 53 1 3.9350 0.3046 1.2723 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 ZINC001567634381.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 01:34:34 Heat of formation + Delta-G solvation = -121.197673 kcal Electronic energy + Delta-G solvation = -30135.517021 eV Core-core repulsion = 26007.299237 eV Total energy + Delta-G solvation = -4128.217784 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.06 seconds Orbital eigenvalues (eV) -40.29072 -39.81701 -38.19278 -37.21924 -35.38158 -32.97408 -32.58299 -31.52682 -30.94560 -30.74880 -28.64847 -27.67002 -25.50982 -25.09608 -23.65985 -22.72663 -22.43957 -21.47070 -21.10152 -19.71322 -19.01187 -17.73984 -17.17055 -16.89621 -16.63181 -16.40975 -16.01550 -15.65889 -15.39852 -14.96985 -14.57525 -14.18822 -14.03937 -13.95616 -13.86094 -13.66321 -13.51859 -13.08045 -12.80116 -12.56878 -12.41991 -12.21702 -12.17851 -12.07580 -11.92067 -11.72746 -11.59344 -11.54378 -11.15956 -11.12223 -10.98504 -10.88575 -10.72073 -10.26937 -10.23042 -10.16257 -9.98042 -9.94735 -9.81636 -9.62647 -9.57557 -8.91933 -8.57002 -6.95357 -5.78167 -3.05638 2.58854 2.65260 3.41475 3.46856 3.48127 3.49555 3.60275 4.10440 4.34947 4.45968 4.51670 4.57511 4.75563 4.79824 4.83912 4.89636 4.97431 5.01257 5.06837 5.09313 5.11791 5.14680 5.24141 5.24884 5.36025 5.39403 5.45863 5.50655 5.54183 5.56893 5.64170 5.68306 5.80921 5.92993 5.95027 6.03363 6.12499 6.23223 6.32546 6.42660 6.47530 6.54251 6.57816 6.66815 6.78283 6.85555 6.95101 7.13727 7.39532 7.70565 8.18464 8.41131 9.52439 10.10711 10.45643 11.44625 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013566 B = 0.002066 C = 0.001886 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2063.450764 B =13546.682572 C =14842.297639 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.166 4.166 2 C 0.177 3.823 3 H 0.045 0.955 4 N -0.723 5.723 5 C -0.232 4.232 6 H 0.069 0.931 7 C -0.016 4.016 8 N -0.934 5.934 9 Si 0.904 3.096 10 H -0.281 1.281 11 H -0.292 1.292 12 H -0.293 1.293 13 C -0.089 4.089 14 C -0.128 4.128 15 C 0.114 3.886 16 N -0.608 5.608 17 C 0.517 3.483 18 O -0.526 6.526 19 C 0.045 3.955 20 O -0.356 6.356 21 C 0.062 3.938 22 C 0.080 3.920 23 H 0.078 0.922 24 C -0.150 4.150 25 C -0.156 4.156 26 C 0.042 3.958 27 O -0.361 6.361 28 C 0.104 3.896 29 C -0.124 4.124 30 H 0.050 0.950 31 H 0.045 0.955 32 H 0.039 0.961 33 H 0.383 0.617 34 H 0.253 0.747 35 H 0.068 0.932 36 H 0.078 0.922 37 H 0.065 0.935 38 H 0.066 0.934 39 H 0.089 0.911 40 H 0.081 0.919 41 H 0.078 0.922 42 H 0.059 0.941 43 H 0.064 0.936 44 H 0.081 0.919 45 H 0.081 0.919 46 H 0.081 0.919 47 H 0.078 0.922 48 H 0.060 0.940 49 H 0.093 0.907 50 H 0.078 0.922 51 H 0.072 0.928 52 H 0.093 0.907 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.435 1.255 21.915 25.228 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 -0.226 4.226 2 C 0.068 3.932 3 H 0.063 0.937 4 N -0.364 5.364 5 C -0.364 4.364 6 H 0.087 0.913 7 C -0.211 4.211 8 N -0.583 5.583 9 Si 0.735 3.265 10 H -0.206 1.206 11 H -0.220 1.220 12 H -0.220 1.220 13 C -0.109 4.109 14 C -0.167 4.167 15 C -0.008 4.008 16 N -0.343 5.343 17 C 0.304 3.696 18 O -0.402 6.402 19 C -0.035 4.035 20 O -0.274 6.274 21 C -0.015 4.015 22 C 0.022 3.978 23 H 0.096 0.904 24 C -0.188 4.188 25 C -0.194 4.194 26 C -0.035 4.035 27 O -0.279 6.279 28 C -0.018 4.018 29 C -0.162 4.162 30 H 0.070 0.930 31 H 0.064 0.936 32 H 0.057 0.943 33 H 0.216 0.784 34 H 0.063 0.937 35 H 0.087 0.913 36 H 0.097 0.903 37 H 0.084 0.916 38 H 0.085 0.915 39 H 0.107 0.893 40 H 0.099 0.901 41 H 0.096 0.904 42 H 0.078 0.922 43 H 0.082 0.918 44 H 0.100 0.900 45 H 0.099 0.901 46 H 0.099 0.901 47 H 0.097 0.903 48 H 0.079 0.921 49 H 0.111 0.889 50 H 0.096 0.904 51 H 0.090 0.910 52 H 0.112 0.888 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 11.888 1.837 22.374 25.402 hybrid contribution 0.539 -0.168 -1.331 1.446 sum 12.428 1.669 21.043 24.495 Atomic orbital electron populations 1.22493 0.99501 1.00753 0.99881 1.20226 0.91623 0.95341 0.86056 0.93710 1.42421 1.78080 1.10607 1.05300 1.19277 1.35891 0.93822 0.87379 0.91284 1.24707 1.02472 0.95980 0.97961 1.69664 1.51311 1.08614 1.28701 0.86160 0.77252 0.78831 0.84231 1.20641 1.21969 1.21986 1.21375 0.94866 0.99954 0.94688 1.22024 1.01208 0.99689 0.93778 1.21632 0.78676 1.00810 0.99634 1.48113 1.07259 1.61493 1.17456 1.20141 0.88399 0.78223 0.82884 1.90706 1.74911 1.43331 1.31244 1.22258 0.92015 0.99796 0.89442 1.88056 1.18762 1.83333 1.37209 1.22788 0.81641 0.99530 0.97565 1.22727 0.94298 0.83515 0.97297 0.90448 1.22944 0.94192 0.98108 1.03530 1.23148 0.98668 0.94972 1.02573 1.23580 0.85088 0.98530 0.96265 1.89040 1.44052 1.18504 1.76350 1.21836 0.97672 0.97722 0.84597 1.21827 0.96230 1.01060 0.97109 0.93046 0.93592 0.94253 0.78363 0.93674 0.91342 0.90316 0.91636 0.91527 0.89285 0.90071 0.90373 0.92244 0.91832 0.90044 0.90054 0.90063 0.90301 0.92140 0.88855 0.90389 0.90990 0.88810 0.91904 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 -0.17 -2.91 9.14 37.16 0.34 -2.57 16 2 C 0.18 3.33 2.47 -67.92 -0.17 3.16 16 3 H 0.04 0.89 8.08 -51.93 -0.42 0.47 16 4 N -0.72 -17.02 4.41 -53.42 -0.24 -17.26 16 5 C -0.23 -6.23 9.93 -15.06 -0.15 -6.37 16 6 H 0.07 1.83 7.83 -52.49 -0.41 1.42 16 7 C -0.02 -0.44 5.50 -17.43 -0.10 -0.53 16 8 N -0.93 -27.30 13.06 55.49 0.72 -26.57 16 9 Si 0.90 22.05 29.55 -169.99 -5.02 17.03 16 10 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 11 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 12 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 13 C -0.09 -1.35 1.79 -90.58 -0.16 -1.51 16 14 C -0.13 -1.69 5.04 -26.61 -0.13 -1.82 16 15 C 0.11 1.46 6.43 -3.71 -0.02 1.43 16 16 N -0.61 -7.88 2.98 -173.03 -0.52 -8.40 16 17 C 0.52 7.52 7.78 -10.98 -0.09 7.43 16 18 O -0.53 -9.79 15.91 -14.35 -0.23 -10.02 16 19 C 0.04 0.51 4.77 36.01 0.17 0.68 16 20 O -0.36 -4.77 9.87 -58.47 -0.58 -5.35 16 21 C 0.06 0.58 5.39 37.16 0.20 0.78 16 22 C 0.08 0.73 3.70 -26.16 -0.10 0.63 16 23 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 24 C -0.15 -0.87 6.64 -25.20 -0.17 -1.04 16 25 C -0.16 -0.87 7.15 -24.73 -0.18 -1.04 16 26 C 0.04 0.32 7.72 38.21 0.29 0.61 16 27 O -0.36 -4.22 11.18 -36.99 -0.41 -4.64 16 28 C 0.10 1.20 6.31 -3.93 -0.02 1.18 16 29 C -0.12 -1.80 5.20 -26.84 -0.14 -1.94 16 30 H 0.05 0.98 8.14 -51.93 -0.42 0.56 16 31 H 0.04 0.80 8.14 -51.93 -0.42 0.38 16 32 H 0.04 0.57 6.40 -51.93 -0.33 0.24 16 33 H 0.38 9.54 7.58 -40.82 -0.31 9.23 16 34 H 0.25 7.21 8.31 -40.82 -0.34 6.87 16 35 H 0.07 1.05 8.14 -51.93 -0.42 0.62 16 36 H 0.08 0.96 6.36 -51.93 -0.33 0.63 16 37 H 0.06 0.92 8.14 -51.93 -0.42 0.49 16 38 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 39 H 0.09 1.22 7.00 -51.93 -0.36 0.85 16 40 H 0.08 0.81 7.68 -51.93 -0.40 0.41 16 41 H 0.08 0.67 7.95 -51.93 -0.41 0.26 16 42 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 43 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 44 H 0.08 0.36 8.14 -51.93 -0.42 -0.06 16 45 H 0.08 0.39 7.70 -51.93 -0.40 -0.01 16 46 H 0.08 0.32 8.14 -51.93 -0.42 -0.11 16 47 H 0.08 0.44 8.14 -51.92 -0.42 0.01 16 48 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 49 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 50 H 0.08 0.74 5.94 -51.93 -0.31 0.43 16 51 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 52 H 0.09 1.58 7.40 -51.93 -0.38 1.20 16 53 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 LS Contribution 413.62 15.07 6.23 6.23 Total: -1.00 -34.07 413.62 -10.00 -44.07 By element: Atomic # 1 Polarization: 15.37 SS G_CDS: -9.55 Total: 5.82 kcal Atomic # 6 Polarization: -0.50 SS G_CDS: -0.42 Total: -0.92 kcal Atomic # 7 Polarization: -52.20 SS G_CDS: -0.03 Total: -52.23 kcal Atomic # 8 Polarization: -18.79 SS G_CDS: -1.22 Total: -20.00 kcal Atomic # 14 Polarization: 22.05 SS G_CDS: -5.02 Total: 17.03 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -34.07 -10.00 -44.07 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. ZINC001567634381.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 -77.130 kcal (2) G-P(sol) polarization free energy of solvation -34.068 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -111.198 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.000 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.068 kcal (6) G-S(sol) free energy of system = (1) + (5) -121.198 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds