Wall clock time and date at job start Tue Mar 31 2020 20:14:29 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 1.52995 * 1 3 3 C 1.52995 * 109.47484 * 2 1 4 4 C 1.53003 * 109.47470 * 179.97438 * 3 2 1 5 5 C 1.52995 * 109.47470 * 180.02562 * 4 3 2 6 6 C 1.52992 * 109.47291 * 175.33394 * 5 4 3 7 7 H 1.09005 * 109.87523 * 53.18413 * 6 5 4 8 8 C 1.54330 * 109.88562 * 292.01224 * 6 5 4 9 9 C 1.55158 * 102.94137 * 218.38948 * 8 6 5 10 10 C 1.54908 * 101.58499 * 35.49840 * 9 8 6 11 11 N 1.47025 * 109.88620 * 174.20197 * 6 5 4 12 12 C 1.34778 * 125.64726 * 298.32442 * 11 6 5 13 13 O 1.21349 * 119.99905 * 4.40261 * 12 11 6 14 14 C 1.49448 * 120.00056 * 184.39800 * 12 11 6 15 15 O 1.21352 * 120.00160 * 354.50921 * 14 12 11 16 16 N 1.34777 * 119.99670 * 174.51141 * 14 12 11 17 17 C 1.46507 * 119.99623 * 185.02137 * 16 14 12 18 18 C 1.52996 * 109.47106 * 184.80490 * 17 16 14 19 19 C 1.50703 * 115.55063 * 305.70093 * 18 17 16 20 20 H 1.08000 * 120.00113 * 144.25136 * 19 18 17 21 21 C 1.37885 * 119.99853 * 324.25919 * 19 18 17 22 22 N 1.31513 * 119.99790 * 3.16355 * 21 19 18 23 23 Si 1.86793 * 119.99729 * 183.16914 * 21 19 18 24 24 H 1.48502 * 109.47311 * 89.99532 * 23 21 19 25 25 H 1.48500 * 109.46938 * 209.99694 * 23 21 19 26 26 H 1.48497 * 109.47588 * 329.99536 * 23 21 19 27 27 C 1.53001 * 117.50061 * 160.03196 * 18 17 16 28 28 C 1.53000 * 117.49955 * 91.36905 * 18 17 16 29 29 H 1.09005 * 109.47037 * 59.99566 * 1 2 3 30 30 H 1.09001 * 109.47870 * 179.97438 * 1 2 3 31 31 H 1.09007 * 109.47266 * 300.00492 * 1 2 3 32 32 H 1.08997 * 109.47342 * 240.00015 * 2 1 3 33 33 H 1.09005 * 109.47037 * 120.00434 * 2 1 3 34 34 H 1.09008 * 109.47390 * 60.00050 * 3 2 1 35 35 H 1.08998 * 109.47613 * 299.99996 * 3 2 1 36 36 H 1.08998 * 109.46866 * 300.00657 * 4 3 2 37 37 H 1.08999 * 109.46536 * 59.99747 * 4 3 2 38 38 H 1.09007 * 109.47235 * 295.33822 * 5 4 3 39 39 H 1.09003 * 109.47188 * 55.33520 * 5 4 3 40 40 H 1.09005 * 110.71489 * 336.74761 * 8 6 5 41 41 H 1.08996 * 110.71926 * 100.02209 * 8 6 5 42 42 H 1.08997 * 111.00158 * 277.42261 * 9 8 6 43 43 H 1.09002 * 111.03457 * 153.58964 * 9 8 6 44 44 H 1.08994 * 110.36733 * 204.15023 * 10 9 8 45 45 H 1.09002 * 110.36801 * 81.82700 * 10 9 8 46 46 H 0.96994 * 120.00675 * 5.02393 * 16 14 12 47 47 H 1.09001 * 109.46779 * 304.80386 * 17 16 14 48 48 H 1.08998 * 109.47157 * 64.80513 * 17 16 14 49 49 H 0.97003 * 119.99875 * 185.00380 * 22 21 19 50 50 H 1.08997 * 117.49603 * 359.97438 * 27 18 17 51 51 H 1.09000 * 117.49648 * 145.01772 * 27 18 17 52 52 H 1.09003 * 117.49937 * 214.97798 * 28 18 17 53 53 H 1.09000 * 117.49724 * 0.02562 * 28 18 17 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 6 3.5701 1.4424 0.0006 5 6 4.0801 2.8848 0.0013 6 6 5.6055 2.8863 0.1193 7 1 6.0376 2.2506 -0.6536 8 6 6.0245 2.3792 1.5153 9 6 7.2329 3.2869 1.8665 10 6 6.8064 4.6329 1.2294 11 7 6.1164 4.2581 -0.0183 12 6 5.9775 5.0427 -1.1053 13 8 5.3203 4.6591 -2.0505 14 6 6.6330 6.3852 -1.1465 15 8 7.2061 6.8110 -0.1653 16 7 6.5874 7.1229 -2.2735 17 6 7.3217 8.3883 -2.3508 18 6 7.0086 9.0793 -3.6795 19 6 7.2468 8.2503 -4.9153 20 1 6.5890 8.3481 -5.7662 21 6 8.3046 7.3669 -4.9594 22 7 9.0682 7.2020 -3.9015 23 14 8.6529 6.4045 -6.5220 24 1 9.5848 7.1772 -7.3820 25 1 9.2688 5.0992 -6.1725 26 1 7.3819 6.1718 -7.2539 27 6 7.2775 10.5825 -3.7746 28 6 5.8386 10.0648 -3.7046 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3635 -1.0276 -0.0005 31 1 -0.3634 0.5139 0.8900 32 1 1.8933 -0.5138 -0.8899 33 1 1.8933 -0.5139 0.8900 34 1 1.6767 1.9564 0.8900 35 1 1.6768 1.9563 -0.8899 36 1 3.9330 0.9286 0.8908 37 1 3.9337 0.9284 -0.8891 38 1 3.7870 3.3743 -0.9275 39 1 3.6498 3.4220 0.8465 40 1 5.2168 2.5173 2.2342 41 1 6.3279 1.3333 1.4706 42 1 8.1489 2.9116 1.4103 43 1 7.3482 3.3846 2.9460 44 1 7.6824 5.2432 1.0099 45 1 6.1268 5.1681 1.8927 46 1 6.0684 6.8162 -3.0334 47 1 7.0209 9.0339 -1.5257 48 1 8.3919 8.1918 -2.2869 49 1 9.8545 6.6364 -3.9543 50 1 7.6770 11.0792 -2.8904 51 1 7.6263 10.9718 -4.7310 52 1 5.2414 10.1139 -4.6152 53 1 5.2922 10.2212 -2.7745 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001324390697.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 20:14:29 Heat of formation + Delta-G solvation = -66.883507 kcal Electronic energy + Delta-G solvation = -30029.168559 eV Core-core repulsion = 26093.762066 eV Total energy + Delta-G solvation = -3935.406494 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.79 seconds Orbital eigenvalues (eV) -40.40268 -38.58430 -37.27793 -36.68101 -36.16386 -33.24391 -32.78509 -32.19829 -31.41283 -29.07047 -26.75623 -25.74102 -25.55811 -24.15616 -22.15331 -21.85661 -21.27727 -21.10501 -20.37273 -19.39679 -18.84178 -17.30872 -16.73754 -16.16184 -15.92662 -15.79019 -15.04698 -14.74947 -14.67963 -14.46629 -14.13715 -13.91879 -13.68749 -13.41289 -13.34034 -13.19618 -13.01834 -12.75944 -12.57498 -12.41331 -12.19198 -11.81565 -11.65910 -11.47788 -11.43506 -11.34482 -11.12176 -11.08210 -10.94299 -10.85135 -10.77262 -10.73257 -10.61690 -10.52933 -10.35544 -10.27826 -9.69538 -9.06847 -8.90782 -8.77991 -8.50713 -8.31742 -7.98076 -6.05486 -4.22516 2.09725 2.80560 3.24021 3.32592 3.35046 3.88029 4.12206 4.30408 4.52352 4.54454 4.56911 4.73146 4.81676 4.89503 4.91496 5.06742 5.17642 5.21776 5.29563 5.32408 5.37751 5.46572 5.49089 5.55182 5.63035 5.65853 5.70047 5.78052 5.82550 5.83428 5.94987 5.97786 5.98936 6.07131 6.09822 6.15177 6.23203 6.26377 6.29154 6.48953 6.51713 6.58592 6.65601 6.84339 7.02383 7.23007 7.37521 7.51793 7.55073 7.89612 8.05359 8.26799 8.48274 8.78853 8.91117 9.41469 10.86045 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011483 B = 0.002849 C = 0.002681 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2437.827397 B = 9826.166466 C =10440.194078 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.125 4.125 3 C -0.120 4.120 4 C -0.114 4.114 5 C -0.132 4.132 6 C 0.136 3.864 7 H 0.076 0.924 8 C -0.126 4.126 9 C -0.138 4.138 10 C 0.098 3.902 11 N -0.594 5.594 12 C 0.523 3.477 13 O -0.522 6.522 14 C 0.497 3.503 15 O -0.547 6.547 16 N -0.643 5.643 17 C 0.162 3.838 18 C 0.032 3.968 19 C -0.494 4.494 20 H 0.063 0.937 21 C 0.073 3.927 22 N -0.874 5.874 23 Si 0.896 3.104 24 H -0.280 1.280 25 H -0.286 1.286 26 H -0.272 1.272 27 C -0.195 4.195 28 C -0.211 4.211 29 H 0.054 0.946 30 H 0.051 0.949 31 H 0.052 0.948 32 H 0.060 0.940 33 H 0.059 0.941 34 H 0.060 0.940 35 H 0.063 0.937 36 H 0.061 0.939 37 H 0.062 0.938 38 H 0.081 0.919 39 H 0.062 0.938 40 H 0.077 0.923 41 H 0.079 0.921 42 H 0.075 0.925 43 H 0.083 0.917 44 H 0.106 0.894 45 H 0.068 0.932 46 H 0.412 0.588 47 H 0.029 0.971 48 H 0.119 0.881 49 H 0.263 0.737 50 H 0.068 0.932 51 H 0.081 0.919 52 H 0.077 0.923 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.592 -12.093 12.249 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 -0.211 4.211 2 C -0.162 4.162 3 C -0.158 4.158 4 C -0.152 4.152 5 C -0.171 4.171 6 C 0.033 3.967 7 H 0.094 0.906 8 C -0.164 4.164 9 C -0.176 4.176 10 C -0.024 4.024 11 N -0.329 5.329 12 C 0.307 3.693 13 O -0.397 6.397 14 C 0.277 3.723 15 O -0.428 6.428 16 N -0.290 5.290 17 C 0.040 3.960 18 C 0.032 3.968 19 C -0.532 4.532 20 H 0.081 0.919 21 C -0.130 4.130 22 N -0.510 5.510 23 Si 0.724 3.276 24 H -0.206 1.206 25 H -0.211 1.211 26 H -0.197 1.197 27 C -0.234 4.234 28 C -0.248 4.248 29 H 0.073 0.927 30 H 0.070 0.930 31 H 0.072 0.928 32 H 0.079 0.921 33 H 0.078 0.922 34 H 0.078 0.922 35 H 0.081 0.919 36 H 0.080 0.920 37 H 0.081 0.919 38 H 0.099 0.901 39 H 0.081 0.919 40 H 0.096 0.904 41 H 0.098 0.902 42 H 0.094 0.906 43 H 0.101 0.899 44 H 0.124 0.876 45 H 0.086 0.914 46 H 0.248 0.752 47 H 0.048 0.952 48 H 0.136 0.864 49 H 0.073 0.927 50 H 0.086 0.914 51 H 0.099 0.901 52 H 0.095 0.905 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -8.398 -12.077 12.385 19.230 hybrid contribution 0.045 -0.536 -1.238 1.349 sum -8.354 -12.612 11.147 18.792 Atomic orbital electron populations 1.21784 0.96068 1.01392 1.01841 1.21533 0.95718 0.97104 1.01866 1.21614 0.95435 0.96527 1.02183 1.21540 0.95352 0.96376 1.01980 1.21998 0.94206 0.97273 1.03596 1.21670 0.94398 0.82924 0.97684 0.90606 1.22731 0.98443 0.99766 0.95493 1.22865 0.98203 0.95301 1.01209 1.22622 0.98650 0.96656 0.84473 1.48306 1.55122 1.14637 1.14873 1.20334 0.81233 0.86247 0.81499 1.90713 1.39679 1.74180 1.35167 1.19661 0.82429 0.85425 0.84810 1.90607 1.45644 1.71806 1.34765 1.45580 1.47161 1.21829 1.14429 1.21282 0.99639 0.81199 0.93920 1.19222 0.95478 0.87564 0.94560 1.20553 1.13127 1.20784 0.98701 0.91893 1.24997 0.96077 0.95715 0.96256 1.69835 1.15309 1.38519 1.27370 0.86506 0.78700 0.79297 0.83131 1.20566 1.21146 1.19658 1.22947 0.98252 1.01598 1.00615 1.22966 0.91294 1.10136 1.00404 0.92717 0.92959 0.92841 0.92077 0.92204 0.92152 0.91869 0.91989 0.91901 0.90056 0.91923 0.90417 0.90198 0.90622 0.89889 0.87609 0.91417 0.75199 0.95249 0.86386 0.92676 0.91377 0.90089 0.90476 0.91276 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 -0.15 -1.11 9.91 37.15 0.37 -0.74 16 2 C -0.12 -0.97 5.93 -26.74 -0.16 -1.13 16 3 C -0.12 -1.07 5.21 -26.73 -0.14 -1.21 16 4 C -0.11 -1.08 5.13 -26.73 -0.14 -1.22 16 5 C -0.13 -1.58 4.69 -26.74 -0.13 -1.71 16 6 C 0.14 1.71 2.91 -66.95 -0.20 1.52 16 7 H 0.08 1.02 8.14 -51.93 -0.42 0.59 16 8 C -0.13 -1.15 5.58 -24.89 -0.14 -1.29 16 9 C -0.14 -1.35 7.08 -24.58 -0.17 -1.52 16 10 C 0.10 1.33 6.14 -2.53 -0.02 1.31 16 11 N -0.59 -9.35 3.06 -163.52 -0.50 -9.85 16 12 C 0.52 10.19 7.73 -11.59 -0.09 10.10 16 13 O -0.52 -11.04 15.29 5.50 0.08 -10.96 16 14 C 0.50 10.67 7.84 -11.59 -0.09 10.58 16 15 O -0.55 -12.07 13.75 5.50 0.08 -12.00 16 16 N -0.64 -14.54 5.16 -60.73 -0.31 -14.86 16 17 C 0.16 3.81 4.63 -4.04 -0.02 3.79 16 18 C 0.03 0.77 2.06 -155.66 -0.32 0.45 16 19 C -0.49 -12.70 8.29 -34.44 -0.29 -12.99 16 20 H 0.06 1.63 7.82 -52.49 -0.41 1.22 16 21 C 0.07 1.90 5.31 -17.82 -0.09 1.80 16 22 N -0.87 -23.16 10.20 55.43 0.57 -22.59 16 23 Si 0.90 20.63 29.54 -169.99 -5.02 15.60 16 24 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 25 H -0.29 -6.66 7.11 56.52 0.40 -6.26 16 26 H -0.27 -6.24 7.11 56.52 0.40 -5.84 16 27 C -0.20 -4.22 9.96 -26.69 -0.27 -4.49 16 28 C -0.21 -4.41 9.92 -26.69 -0.26 -4.68 16 29 H 0.05 0.41 8.14 -51.93 -0.42 -0.02 16 30 H 0.05 0.34 8.14 -51.93 -0.42 -0.09 16 31 H 0.05 0.37 8.14 -51.92 -0.42 -0.05 16 32 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 33 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.06 0.52 8.14 -51.92 -0.42 0.10 16 35 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 36 H 0.06 0.50 7.38 -51.93 -0.38 0.11 16 37 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 38 H 0.08 1.22 6.56 -51.93 -0.34 0.88 16 39 H 0.06 0.72 8.00 -51.93 -0.42 0.31 16 40 H 0.08 0.63 7.75 -51.93 -0.40 0.23 16 41 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 42 H 0.08 0.76 8.14 -51.93 -0.42 0.33 16 43 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 44 H 0.11 1.68 6.05 -51.93 -0.31 1.37 16 45 H 0.07 0.87 8.14 -51.93 -0.42 0.45 16 46 H 0.41 9.57 7.42 -40.82 -0.30 9.27 16 47 H 0.03 0.67 8.05 -51.93 -0.42 0.25 16 48 H 0.12 3.10 5.92 -51.93 -0.31 2.79 16 49 H 0.26 6.81 8.32 -40.82 -0.34 6.47 16 50 H 0.07 1.37 8.14 -51.93 -0.42 0.95 16 51 H 0.08 1.74 8.14 -51.93 -0.42 1.32 16 52 H 0.08 1.58 8.14 -51.93 -0.42 1.15 16 53 H 0.07 1.35 8.14 -51.93 -0.42 0.93 16 LS Contribution 418.34 15.07 6.30 6.30 Total: -1.00 -27.85 418.34 -10.57 -38.42 By element: Atomic # 1 Polarization: 20.95 SS G_CDS: -9.62 Total: 11.34 kcal Atomic # 6 Polarization: 0.73 SS G_CDS: -2.15 Total: -1.41 kcal Atomic # 7 Polarization: -47.05 SS G_CDS: -0.25 Total: -47.30 kcal Atomic # 8 Polarization: -23.12 SS G_CDS: 0.16 Total: -22.96 kcal Atomic # 14 Polarization: 20.63 SS G_CDS: -5.02 Total: 15.60 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -27.85 -10.57 -38.42 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. ZINC001324390697.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 -28.459 kcal (2) G-P(sol) polarization free energy of solvation -27.854 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -56.313 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.570 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.424 kcal (6) G-S(sol) free energy of system = (1) + (5) -66.884 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.79 seconds