Wall clock time and date at job start Sat Apr 11 2020 06:14:10 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 O 1.42893 * 1 3 3 C 1.42902 * 114.00371 * 2 1 4 4 C 1.52991 * 109.47735 * 179.97438 * 3 2 1 5 5 C 1.50706 * 109.54593 * 300.00315 * 4 3 2 6 6 O 1.21274 * 119.99785 * 239.81985 * 5 4 3 7 7 N 1.34777 * 119.99931 * 59.81725 * 5 4 3 8 8 C 1.46498 * 120.00242 * 180.02562 * 7 5 4 9 9 H 1.09003 * 109.51826 * 34.91651 * 8 7 5 10 10 C 1.53045 * 109.49700 * 274.84364 * 8 7 5 11 11 C 1.53035 * 109.53666 * 178.68434 * 10 8 7 12 12 C 1.53189 * 109.31823 * 61.36002 * 11 10 8 13 13 N 1.46931 * 108.77449 * 305.36476 * 12 11 10 14 14 C 1.36932 * 120.62999 * 233.58646 * 13 12 11 15 15 H 1.08001 * 119.99806 * 150.86831 * 14 13 12 16 16 C 1.38809 * 120.00102 * 330.86088 * 14 13 12 17 17 N 1.31617 * 120.00289 * 343.82467 * 16 14 13 18 18 Si 1.86807 * 119.99882 * 163.82004 * 16 14 13 19 19 H 1.48500 * 109.46985 * 94.31616 * 18 16 14 20 20 H 1.48503 * 109.46965 * 214.30930 * 18 16 14 21 21 H 1.48493 * 109.47177 * 334.31454 * 18 16 14 22 22 C 1.46932 * 118.73612 * 53.60527 * 13 12 11 23 23 H 1.09001 * 109.58154 * 66.32634 * 22 13 12 24 24 C 1.52999 * 109.58441 * 186.60445 * 22 13 12 25 25 C 1.53186 * 109.61415 * 60.22434 * 4 3 2 26 26 C 1.53093 * 109.15981 * 176.89363 * 25 4 3 27 27 O 1.42902 * 109.41606 * 302.38403 * 26 25 4 28 28 C 1.42907 * 114.09269 * 61.16883 * 27 26 25 29 29 C 1.53098 * 109.41050 * 298.83397 * 28 27 26 30 30 H 1.09006 * 109.47212 * 59.99850 * 1 2 3 31 31 H 1.09004 * 109.47110 * 180.02562 * 1 2 3 32 32 H 1.08997 * 109.46953 * 299.99794 * 1 2 3 33 33 H 1.09001 * 109.46852 * 59.99752 * 3 2 1 34 34 H 1.09003 * 109.46805 * 300.00335 * 3 2 1 35 35 H 0.97000 * 119.99662 * 0.02562 * 7 5 4 36 36 H 1.09000 * 109.46242 * 58.65481 * 10 8 7 37 37 H 1.09001 * 109.44352 * 298.69399 * 10 8 7 38 38 H 1.09007 * 109.49345 * 301.40490 * 11 10 8 39 39 H 1.08996 * 109.52350 * 181.33436 * 11 10 8 40 40 H 1.08994 * 109.59056 * 185.58149 * 12 11 10 41 41 H 1.09001 * 109.58447 * 65.15184 * 12 11 10 42 42 H 0.96996 * 120.00459 * 179.97438 * 17 16 14 43 43 H 1.08994 * 109.47074 * 59.99990 * 24 22 13 44 44 H 1.09005 * 109.46891 * 300.00344 * 24 22 13 45 45 H 1.09002 * 109.47189 * 180.02562 * 24 22 13 46 46 H 1.08997 * 109.51842 * 296.79407 * 25 4 3 47 47 H 1.08993 * 109.52393 * 56.98773 * 25 4 3 48 48 H 1.09008 * 109.47528 * 182.40597 * 26 25 4 49 49 H 1.08998 * 109.48298 * 62.37996 * 26 25 4 50 50 H 1.09001 * 109.47907 * 178.86125 * 28 27 26 51 51 H 1.08997 * 109.49463 * 58.82596 * 28 27 26 52 52 H 1.08998 * 109.52544 * 297.70703 * 29 28 27 53 53 H 1.09001 * 109.57558 * 177.54494 * 29 28 27 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 8 1.4289 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 6 3.5354 1.1847 0.0006 5 6 3.9815 0.4372 1.2309 6 8 4.7259 0.9691 2.0269 7 7 3.5531 -0.8224 1.4464 8 6 3.9862 -1.5489 2.6425 9 1 4.0826 -0.8533 3.4761 10 6 5.3378 -2.2149 2.3741 11 6 5.8067 -2.9469 3.6337 12 6 4.7929 -4.0377 3.9929 13 7 3.4621 -3.4263 4.1105 14 6 2.7115 -3.6013 5.2423 15 1 2.0081 -2.8404 5.5468 16 6 2.8545 -4.7567 5.9982 17 7 3.4536 -5.8097 5.4839 18 14 2.1967 -4.8170 7.7456 19 1 0.8296 -5.3968 7.7402 20 1 3.0887 -5.6604 8.5814 21 1 2.1491 -3.4420 8.3043 22 6 2.9518 -2.6238 2.9904 23 1 2.7852 -3.2670 2.1263 24 6 1.6355 -1.9571 3.3949 25 6 3.9920 0.4295 -1.2515 26 6 5.5219 0.3823 -1.2799 27 8 6.0389 1.7143 -1.2512 28 6 5.6837 2.4528 -0.0804 29 6 4.1602 2.5833 -0.0039 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.6886 1.8464 0.8900 34 1 1.6886 1.8464 -0.8900 35 1 2.9580 -1.2479 0.8094 36 1 6.0698 -1.4544 2.1022 37 1 5.2347 -2.9285 1.5566 38 1 5.8859 -2.2381 4.4580 39 1 6.7802 -3.4012 3.4498 40 1 5.0698 -4.4956 4.9424 41 1 4.7789 -4.7957 3.2097 42 1 3.5539 -6.6169 6.0122 43 1 1.8052 -1.3107 4.2560 44 1 0.9048 -2.7233 3.6542 45 1 1.2584 -1.3628 2.5626 46 1 3.5966 -0.5859 -1.2288 47 1 3.6269 0.9438 -2.1404 48 1 5.8533 -0.1167 -2.1906 49 1 5.8848 -0.1674 -0.4114 50 1 6.1316 3.4455 -0.1271 51 1 6.0488 1.9305 0.8038 52 1 3.7985 3.1411 -0.8676 53 1 3.8841 3.1084 0.9106 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 ZINC001507372370.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 06:14:10 Heat of formation + Delta-G solvation = -113.695309 kcal Electronic energy + Delta-G solvation = -33194.810710 eV Core-core repulsion = 29066.918253 eV Total energy + Delta-G solvation = -4127.892457 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.62 seconds Orbital eigenvalues (eV) -41.00543 -38.62408 -37.94625 -37.31875 -34.29871 -34.24276 -32.50115 -31.68922 -31.08320 -29.19527 -28.33180 -26.39013 -26.06091 -25.00027 -23.81152 -23.55316 -22.48571 -21.20413 -20.63426 -19.70342 -18.86628 -16.99079 -16.65537 -16.63853 -16.25909 -15.99924 -15.74200 -15.50626 -15.09377 -14.86049 -14.63983 -14.36549 -14.01530 -13.77447 -13.69284 -13.50443 -13.19145 -12.87196 -12.63767 -12.51669 -12.42439 -12.29648 -12.09807 -11.64448 -11.62364 -11.48637 -11.39852 -11.06059 -10.91771 -10.80588 -10.72065 -10.60226 -10.50577 -10.25895 -10.07708 -10.01908 -9.97821 -9.81703 -9.64786 -9.42270 -9.14082 -8.55858 -8.41161 -6.65019 -5.78247 -3.21529 2.79943 3.34494 3.37181 3.44815 3.46703 3.50755 3.82286 4.37532 4.46320 4.52117 4.64642 4.87220 4.92210 5.05763 5.07215 5.16336 5.18008 5.25682 5.32653 5.42463 5.44529 5.47831 5.50541 5.55313 5.56662 5.61816 5.66451 5.70284 5.83250 5.87057 5.89906 6.00788 6.03439 6.17077 6.26756 6.38493 6.47914 6.56789 6.68195 6.77014 6.81217 6.83245 6.91123 7.03029 7.12461 7.13178 7.41919 7.68100 7.82772 7.92562 8.45091 8.56342 9.21723 9.84970 10.41626 11.30511 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016253 B = 0.003516 C = 0.003159 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1722.298135 B = 7962.178479 C = 8861.206292 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.388 6.388 3 C 0.076 3.924 4 C -0.079 4.079 5 C 0.523 3.477 6 O -0.546 6.546 7 N -0.702 5.702 8 C 0.130 3.870 9 H 0.083 0.917 10 C -0.115 4.115 11 C -0.140 4.140 12 C 0.170 3.830 13 N -0.582 5.582 14 C -0.250 4.250 15 H 0.069 0.931 16 C 0.004 3.996 17 N -0.902 5.902 18 Si 0.900 3.100 19 H -0.288 1.288 20 H -0.290 1.290 21 H -0.279 1.279 22 C 0.170 3.830 23 H 0.026 0.974 24 C -0.135 4.135 25 C -0.137 4.137 26 C 0.057 3.943 27 O -0.385 6.385 28 C 0.051 3.949 29 C -0.126 4.126 30 H 0.040 0.960 31 H 0.090 0.910 32 H 0.043 0.957 33 H 0.056 0.944 34 H 0.060 0.940 35 H 0.404 0.596 36 H 0.047 0.953 37 H 0.053 0.947 38 H 0.055 0.945 39 H 0.050 0.950 40 H 0.087 0.913 41 H 0.018 0.982 42 H 0.253 0.747 43 H 0.051 0.949 44 H 0.061 0.939 45 H 0.042 0.958 46 H 0.086 0.914 47 H 0.080 0.920 48 H 0.096 0.904 49 H 0.052 0.948 50 H 0.091 0.909 51 H 0.080 0.920 52 H 0.075 0.925 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.056 13.944 -15.317 20.815 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 -0.062 4.062 2 O -0.307 6.307 3 C -0.001 4.001 4 C -0.083 4.083 5 C 0.308 3.692 6 O -0.425 6.425 7 N -0.353 5.353 8 C 0.025 3.975 9 H 0.101 0.899 10 C -0.154 4.154 11 C -0.180 4.180 12 C 0.045 3.955 13 N -0.306 5.306 14 C -0.380 4.380 15 H 0.087 0.913 16 C -0.194 4.194 17 N -0.546 5.546 18 Si 0.729 3.271 19 H -0.215 1.215 20 H -0.216 1.216 21 H -0.204 1.204 22 C 0.062 3.938 23 H 0.044 0.956 24 C -0.193 4.193 25 C -0.175 4.175 26 C -0.019 4.019 27 O -0.304 6.304 28 C -0.025 4.025 29 C -0.164 4.164 30 H 0.059 0.941 31 H 0.109 0.891 32 H 0.061 0.939 33 H 0.074 0.926 34 H 0.078 0.922 35 H 0.241 0.759 36 H 0.066 0.934 37 H 0.071 0.929 38 H 0.074 0.926 39 H 0.069 0.931 40 H 0.105 0.895 41 H 0.037 0.963 42 H 0.063 0.937 43 H 0.070 0.930 44 H 0.080 0.920 45 H 0.061 0.939 46 H 0.104 0.896 47 H 0.098 0.902 48 H 0.114 0.886 49 H 0.071 0.929 50 H 0.109 0.891 51 H 0.098 0.902 52 H 0.094 0.906 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -1.306 14.028 -14.784 20.422 hybrid contribution -1.093 -0.233 0.809 1.380 sum -2.399 13.794 -13.975 19.782 Atomic orbital electron populations 1.22756 0.80220 1.03294 0.99913 1.87733 1.20314 1.27260 1.95384 1.22470 0.91209 0.85412 1.01042 1.20978 0.94800 0.97249 0.95229 1.20110 0.80544 0.82094 0.86497 1.90632 1.36639 1.68114 1.47114 1.46207 1.49229 1.14077 1.25793 1.21749 0.95106 0.94227 0.86467 0.89899 1.21752 0.96379 0.98652 0.98637 1.22177 0.99246 0.99958 0.96591 1.20820 0.82575 0.90942 1.01206 1.44043 1.14654 1.57865 1.13994 1.19152 1.19462 0.99904 0.99470 0.91302 1.25049 1.00319 0.94773 0.99295 1.70031 1.46993 1.02090 1.35504 0.86330 0.78222 0.77518 0.85002 1.21521 1.21583 1.20426 1.20521 0.91105 0.90546 0.91597 0.95632 1.21805 0.97525 1.00034 0.99916 1.22186 0.97176 1.01789 0.96364 1.22597 0.92419 0.84457 1.02467 1.87884 1.74674 1.25426 1.42425 1.22812 0.93422 0.97056 0.89247 1.21953 0.97315 0.93975 1.03168 0.94129 0.89109 0.93864 0.92590 0.92181 0.75905 0.93391 0.92856 0.92590 0.93086 0.89483 0.96339 0.93706 0.93003 0.92001 0.93910 0.89575 0.90181 0.88627 0.92925 0.89083 0.90165 0.90648 0.89963 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 0.03 0.28 11.01 101.05 1.11 1.39 16 2 O -0.39 -3.95 7.62 -35.23 -0.27 -4.22 16 3 C 0.08 0.72 4.81 37.15 0.18 0.90 16 4 C -0.08 -0.88 0.53 -155.47 -0.08 -0.96 16 5 C 0.52 7.72 5.11 -10.98 -0.06 7.67 16 6 O -0.55 -9.84 13.50 5.56 0.08 -9.77 16 7 N -0.70 -10.57 4.11 -53.69 -0.22 -10.80 16 8 C 0.13 2.39 1.99 -67.81 -0.14 2.26 16 9 H 0.08 1.76 7.58 -51.93 -0.39 1.37 16 10 C -0.12 -2.10 5.46 -26.69 -0.15 -2.25 16 11 C -0.14 -2.79 6.08 -26.62 -0.16 -2.95 16 12 C 0.17 4.04 5.29 -3.71 -0.02 4.02 16 13 N -0.58 -14.22 2.99 -164.78 -0.49 -14.72 16 14 C -0.25 -6.67 8.59 -15.06 -0.13 -6.80 16 15 H 0.07 1.80 6.22 -52.49 -0.33 1.48 16 16 C 0.00 0.12 4.93 -17.43 -0.09 0.03 16 17 N -0.90 -25.78 11.22 55.49 0.62 -25.16 16 18 Si 0.90 21.52 29.58 -169.99 -5.03 16.50 16 19 H -0.29 -6.89 7.11 56.52 0.40 -6.48 16 20 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 21 H -0.28 -6.59 7.11 56.52 0.40 -6.19 16 22 C 0.17 3.46 3.03 -67.60 -0.21 3.25 16 23 H 0.03 0.54 8.14 -51.93 -0.42 0.12 16 24 C -0.14 -2.54 7.83 37.16 0.29 -2.25 16 25 C -0.14 -1.37 4.67 -26.59 -0.12 -1.49 16 26 C 0.06 0.65 6.62 37.21 0.25 0.89 16 27 O -0.39 -4.85 10.77 -35.23 -0.38 -5.23 16 28 C 0.05 0.60 6.55 37.21 0.24 0.85 16 29 C -0.13 -1.32 4.56 -26.59 -0.12 -1.44 16 30 H 0.04 0.26 8.14 -51.93 -0.42 -0.17 16 31 H 0.09 0.68 8.14 -51.93 -0.42 0.26 16 32 H 0.04 0.34 8.14 -51.93 -0.42 -0.08 16 33 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 34 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 35 H 0.40 5.59 5.98 -40.82 -0.24 5.34 16 36 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 37 H 0.05 0.94 8.14 -51.93 -0.42 0.51 16 38 H 0.06 1.17 8.14 -51.93 -0.42 0.74 16 39 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 40 H 0.09 2.31 6.11 -51.93 -0.32 2.00 16 41 H 0.02 0.46 8.14 -51.93 -0.42 0.04 16 42 H 0.25 7.02 8.31 -40.82 -0.34 6.68 16 43 H 0.05 1.03 7.45 -51.93 -0.39 0.64 16 44 H 0.06 1.23 7.62 -51.93 -0.40 0.84 16 45 H 0.04 0.68 7.80 -51.93 -0.41 0.27 16 46 H 0.09 0.85 7.18 -51.93 -0.37 0.48 16 47 H 0.08 0.69 8.14 -51.93 -0.42 0.27 16 48 H 0.10 0.89 8.14 -51.92 -0.42 0.47 16 49 H 0.05 0.69 7.38 -51.93 -0.38 0.30 16 50 H 0.09 0.91 8.14 -51.93 -0.42 0.49 16 51 H 0.08 1.16 5.80 -51.93 -0.30 0.86 16 52 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.08 0.88 8.03 -51.93 -0.42 0.46 16 LS Contribution 395.75 15.07 5.96 5.96 Total: -1.00 -30.56 395.75 -8.34 -38.90 By element: Atomic # 1 Polarization: 14.84 SS G_CDS: -9.42 Total: 5.42 kcal Atomic # 6 Polarization: 2.31 SS G_CDS: 0.81 Total: 3.12 kcal Atomic # 7 Polarization: -50.58 SS G_CDS: -0.09 Total: -50.67 kcal Atomic # 8 Polarization: -18.65 SS G_CDS: -0.57 Total: -19.22 kcal Atomic # 14 Polarization: 21.52 SS G_CDS: -5.03 Total: 16.50 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -30.56 -8.34 -38.90 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. ZINC001507372370.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 -74.797 kcal (2) G-P(sol) polarization free energy of solvation -30.556 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.353 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.342 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.898 kcal (6) G-S(sol) free energy of system = (1) + (5) -113.695 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.62 seconds