Wall clock time and date at job start Sat Apr 11 2020 06:11:02 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 1.53001 * 1 3 3 O 1.45200 * 109.46955 * 2 1 4 4 C 1.34230 * 117.00262 * 180.02562 * 3 2 1 5 5 O 1.20825 * 119.99593 * 359.97438 * 4 3 2 6 6 C 1.50703 * 120.00295 * 179.97438 * 4 3 2 7 7 C 1.53002 * 109.46862 * 180.02562 * 6 4 3 8 8 C 1.53006 * 109.46528 * 179.97438 * 7 6 4 9 9 C 1.53001 * 109.46579 * 179.97438 * 8 7 6 10 10 C 1.53005 * 109.46941 * 180.02562 * 9 8 7 11 11 N 1.46498 * 109.47349 * 180.02562 * 10 9 8 12 12 C 1.34769 * 120.00320 * 179.97438 * 11 10 9 13 13 O 1.21593 * 119.99859 * 359.97438 * 12 11 10 14 14 N 1.34779 * 120.00398 * 180.02562 * 12 11 10 15 15 C 1.46502 * 120.00236 * 180.02562 * 14 12 11 16 16 H 1.09004 * 109.35189 * 324.81926 * 15 14 12 17 17 C 1.52949 * 109.41366 * 84.64492 * 15 14 12 18 18 C 1.53229 * 109.40398 * 183.70426 * 17 15 14 19 19 C 1.51265 * 108.53677 * 305.37322 * 18 17 15 20 20 C 1.37878 * 120.85148 * 231.32305 * 19 18 17 21 21 N 1.31508 * 120.00263 * 180.02562 * 20 19 18 22 22 Si 1.86807 * 119.99753 * 0.02562 * 20 19 18 23 23 H 1.48497 * 109.46711 * 89.99747 * 22 20 19 24 24 H 1.48496 * 109.46912 * 209.99871 * 22 20 19 25 25 H 1.48499 * 109.46872 * 329.99685 * 22 20 19 26 26 C 1.51267 * 118.30343 * 51.34724 * 19 18 17 27 27 C 1.52957 * 109.41015 * 204.99901 * 15 14 12 28 28 H 1.09002 * 109.46577 * 180.02562 * 1 2 3 29 29 H 1.09003 * 109.46991 * 299.99956 * 1 2 3 30 30 H 1.08998 * 109.47258 * 60.00462 * 1 2 3 31 31 H 1.08995 * 109.47805 * 239.99960 * 2 1 3 32 32 H 1.08998 * 109.47258 * 119.99538 * 2 1 3 33 33 H 1.08991 * 109.47105 * 59.99725 * 6 4 3 34 34 H 1.09001 * 109.46528 * 299.99931 * 6 4 3 35 35 H 1.08991 * 109.47655 * 59.99854 * 7 6 4 36 36 H 1.08997 * 109.46647 * 299.99484 * 7 6 4 37 37 H 1.09000 * 109.47126 * 59.99805 * 8 7 6 38 38 H 1.08997 * 109.47252 * 299.99134 * 8 7 6 39 39 H 1.09000 * 109.47234 * 60.00259 * 9 8 7 40 40 H 1.09004 * 109.47293 * 299.99879 * 9 8 7 41 41 H 1.08991 * 109.47142 * 59.99865 * 10 9 8 42 42 H 1.09004 * 109.46960 * 299.99999 * 10 9 8 43 43 H 0.97008 * 119.99528 * 359.97438 * 11 10 9 44 44 H 0.96995 * 119.99650 * 0.02562 * 14 12 11 45 45 H 1.09000 * 109.48573 * 303.68090 * 17 15 14 46 46 H 1.08993 * 109.48435 * 63.72567 * 17 15 14 47 47 H 1.09010 * 109.62665 * 65.08773 * 18 17 15 48 48 H 1.09000 * 109.63151 * 185.46275 * 18 17 15 49 49 H 0.96996 * 120.00466 * 179.97438 * 21 20 19 50 50 H 1.08991 * 109.63053 * 188.93768 * 26 19 18 51 51 H 1.09003 * 109.62740 * 68.36245 * 26 19 18 52 52 H 1.09004 * 109.48477 * 56.31823 * 27 15 14 53 53 H 1.09001 * 109.48481 * 296.27011 * 27 15 14 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 8 2.0140 1.3690 0.0000 4 6 3.3447 1.5450 -0.0005 5 8 4.0807 0.5868 -0.0005 6 6 3.9207 2.9376 -0.0012 7 6 5.4486 2.8575 -0.0023 8 6 6.0333 4.2714 -0.0036 9 6 7.5612 4.1913 -0.0041 10 6 8.1460 5.6052 -0.0048 11 7 9.6090 5.5286 -0.0059 12 6 10.3430 6.6589 -0.0071 13 8 9.7909 7.7423 -0.0078 14 7 11.6889 6.5884 -0.0087 15 6 12.4868 7.8171 -0.0094 16 1 11.9778 8.5779 -0.6013 17 6 12.6524 8.3166 1.4267 18 6 13.4073 9.6500 1.4180 19 6 14.7083 9.4612 0.6698 20 6 15.9077 9.8500 1.2277 21 7 17.0289 9.6785 0.5622 22 14 15.9401 10.6206 2.9292 23 1 16.0940 9.5552 3.9521 24 1 17.0817 11.5656 3.0229 25 1 14.6702 11.3535 3.1648 26 6 14.6599 8.8353 -0.7065 27 6 13.8595 7.5314 -0.6207 28 1 -0.3632 -1.0277 0.0005 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5137 -0.8900 31 1 1.8935 -0.5138 -0.8899 32 1 1.8934 -0.5137 0.8900 33 1 3.5850 3.4699 0.8887 34 1 3.5843 3.4694 -0.8912 35 1 5.7839 2.3252 -0.8924 36 1 5.7851 2.3255 0.8875 37 1 5.6980 4.8040 0.8863 38 1 5.6967 4.8030 -0.8937 39 1 7.8968 3.6585 -0.8939 40 1 7.8975 3.6598 0.8861 41 1 7.8104 6.1375 0.8851 42 1 7.8097 6.1371 -0.8948 43 1 10.0494 4.6642 -0.0057 44 1 12.1293 5.7242 -0.0093 45 1 11.6703 8.4579 1.8780 46 1 13.2159 7.5836 2.0038 47 1 12.8046 10.4088 0.9187 48 1 13.6126 9.9613 2.4422 49 1 17.8726 9.9524 0.9545 50 1 15.6728 8.6214 -1.0473 51 1 14.1731 9.5185 -1.4025 52 1 13.7330 7.1162 -1.6206 53 1 14.3945 6.8170 0.0049 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 ZINC001189675239.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 06:11:02 Heat of formation + Delta-G solvation = -161.907635 kcal Electronic energy + Delta-G solvation = -28319.236451 eV Core-core repulsion = 24189.253351 eV Total energy + Delta-G solvation = -4129.983101 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.71 seconds Orbital eigenvalues (eV) -40.94463 -39.75142 -37.51498 -37.07477 -36.28025 -34.40355 -33.62011 -32.41783 -31.74015 -30.93751 -29.61595 -27.67729 -26.55273 -24.10246 -22.91373 -22.06024 -21.64061 -21.43889 -20.98124 -20.33256 -19.47163 -18.14141 -17.89168 -17.34954 -16.67494 -16.30562 -16.21052 -15.86412 -15.35404 -14.68119 -14.46022 -14.39422 -14.13730 -13.95276 -13.88202 -13.51297 -13.22473 -13.14492 -12.78894 -12.63817 -12.42835 -12.37045 -12.20090 -12.11571 -12.03086 -11.73986 -11.60365 -11.48308 -11.39113 -11.07301 -10.97657 -10.94006 -10.89353 -10.78643 -10.66189 -10.12379 -9.95863 -9.79636 -9.56335 -9.05871 -8.95459 -8.73939 -8.44507 -8.18587 -6.08232 -3.98382 1.74413 2.16237 2.99650 3.29586 3.38151 3.41545 3.57831 4.12831 4.24406 4.36066 4.41336 4.42411 4.42854 4.55532 4.64748 4.70944 4.73572 4.92319 5.02453 5.17237 5.18573 5.20413 5.21218 5.26394 5.39260 5.43691 5.51161 5.61189 5.74235 5.80642 5.92300 5.94274 5.96400 5.99512 6.26614 6.52627 6.55651 6.60317 6.76186 6.81952 6.94585 7.00397 7.11737 7.22019 7.27939 7.39012 7.49467 7.68172 7.75253 7.83863 8.36344 8.41627 8.96929 8.98757 9.57283 11.01371 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.039506 B = 0.001258 C = 0.001244 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 708.577111 B =22257.858778 C =22495.402952 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 0.061 3.939 3 O -0.361 6.361 4 C 0.460 3.540 5 O -0.509 6.509 6 C -0.114 4.114 7 C -0.109 4.109 8 C -0.116 4.116 9 C -0.131 4.131 10 C 0.140 3.860 11 N -0.755 5.755 12 C 0.699 3.301 13 O -0.593 6.593 14 N -0.740 5.740 15 C 0.172 3.828 16 H 0.077 0.923 17 C -0.114 4.114 18 C -0.013 4.013 19 C -0.488 4.488 20 C 0.076 3.924 21 N -0.891 5.891 22 Si 0.888 3.112 23 H -0.279 1.279 24 H -0.290 1.290 25 H -0.266 1.266 26 C 0.013 3.987 27 C -0.114 4.114 28 H 0.080 0.920 29 H 0.067 0.933 30 H 0.067 0.933 31 H 0.070 0.930 32 H 0.070 0.930 33 H 0.107 0.893 34 H 0.107 0.893 35 H 0.073 0.927 36 H 0.073 0.927 37 H 0.070 0.930 38 H 0.070 0.930 39 H 0.070 0.930 40 H 0.070 0.930 41 H 0.063 0.937 42 H 0.063 0.937 43 H 0.393 0.607 44 H 0.389 0.611 45 H 0.037 0.963 46 H 0.049 0.951 47 H 0.019 0.981 48 H 0.030 0.970 49 H 0.264 0.736 50 H 0.060 0.940 51 H 0.006 0.994 52 H 0.035 0.965 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -28.578 -19.281 -1.528 34.508 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 -0.210 4.210 2 C -0.013 4.013 3 O -0.279 6.279 4 C 0.303 3.697 5 O -0.396 6.396 6 C -0.152 4.152 7 C -0.147 4.147 8 C -0.154 4.154 9 C -0.169 4.169 10 C 0.015 3.985 11 N -0.412 5.412 12 C 0.399 3.601 13 O -0.471 6.471 14 N -0.393 5.393 15 C 0.068 3.932 16 H 0.095 0.905 17 C -0.153 4.153 18 C -0.051 4.051 19 C -0.507 4.507 20 C -0.127 4.127 21 N -0.529 5.529 22 Si 0.716 3.284 23 H -0.205 1.205 24 H -0.217 1.217 25 H -0.191 1.191 26 C -0.025 4.025 27 C -0.152 4.152 28 H 0.098 0.902 29 H 0.086 0.914 30 H 0.086 0.914 31 H 0.088 0.912 32 H 0.088 0.912 33 H 0.125 0.875 34 H 0.125 0.875 35 H 0.092 0.908 36 H 0.092 0.908 37 H 0.088 0.912 38 H 0.088 0.912 39 H 0.088 0.912 40 H 0.088 0.912 41 H 0.081 0.919 42 H 0.081 0.919 43 H 0.226 0.774 44 H 0.221 0.779 45 H 0.055 0.945 46 H 0.068 0.932 47 H 0.038 0.962 48 H 0.048 0.952 49 H 0.074 0.926 50 H 0.079 0.921 51 H 0.025 0.975 52 H 0.054 0.946 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -28.691 -18.534 -1.530 34.191 hybrid contribution 0.516 -0.743 0.996 1.345 sum -28.175 -19.277 -0.534 34.142 Atomic orbital electron populations 1.21816 0.92496 1.03101 1.03618 1.23041 0.95478 0.80108 1.02661 1.86515 1.24774 1.32559 1.84013 1.23910 0.80475 0.93122 0.72171 1.90684 1.60401 1.43362 1.45172 1.21476 0.96998 0.90603 1.06125 1.21451 0.91543 0.97637 1.04027 1.21488 0.94616 0.96246 1.03070 1.21781 0.95478 0.96622 1.02987 1.21114 0.78757 0.96419 1.02222 1.45159 1.06668 1.07602 1.81789 1.16052 0.82009 0.84145 0.77879 1.90908 1.71265 1.26982 1.57964 1.45637 1.04057 1.10649 1.78963 1.20914 0.90677 0.83928 0.97653 0.90491 1.21920 0.98289 0.99899 0.95191 1.19715 0.95908 0.92659 0.96847 1.20068 0.90053 1.39337 1.01250 1.24834 0.95122 0.95226 0.97486 1.69829 0.97981 1.47195 1.37911 0.86659 0.77383 0.79605 0.84733 1.20494 1.21662 1.19140 1.19337 0.96831 0.90532 0.95756 1.21935 0.94230 1.01679 0.97368 0.90153 0.91402 0.91399 0.91194 0.91195 0.87462 0.87469 0.90849 0.90842 0.91157 0.91157 0.91168 0.91165 0.91852 0.91866 0.77406 0.77855 0.94468 0.93222 0.96242 0.95176 0.92632 0.92116 0.97520 0.94649 0.92795 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 -0.51 10.29 37.16 0.38 -0.13 16 2 C 0.06 0.34 6.19 37.16 0.23 0.57 16 3 O -0.36 -2.61 10.22 -39.26 -0.40 -3.01 16 4 C 0.46 3.55 7.96 36.01 0.29 3.84 16 5 O -0.51 -5.45 15.73 -18.75 -0.29 -5.75 16 6 C -0.11 -0.54 5.81 -27.88 -0.16 -0.71 16 7 C -0.11 -0.61 4.51 -26.73 -0.12 -0.73 16 8 C -0.12 -0.62 5.21 -26.73 -0.14 -0.75 16 9 C -0.13 -0.86 5.33 -26.73 -0.14 -1.01 16 10 C 0.14 1.41 5.67 -4.04 -0.02 1.39 16 11 N -0.76 -8.94 5.56 -65.23 -0.36 -9.30 16 12 C 0.70 11.75 8.53 -86.92 -0.74 11.01 16 13 O -0.59 -12.61 16.01 5.28 0.08 -12.52 16 14 N -0.74 -12.05 5.08 -58.72 -0.30 -12.35 16 15 C 0.17 3.45 2.35 -67.98 -0.16 3.29 16 16 H 0.08 1.73 7.57 -51.93 -0.39 1.34 16 17 C -0.11 -2.46 5.50 -26.64 -0.15 -2.61 16 18 C -0.01 -0.32 5.58 -27.49 -0.15 -0.47 16 19 C -0.49 -12.95 5.51 -98.93 -0.55 -13.49 16 20 C 0.08 2.08 5.46 -17.82 -0.10 1.98 16 21 N -0.89 -25.57 12.73 55.43 0.71 -24.87 16 22 Si 0.89 21.36 27.27 -169.99 -4.64 16.73 16 23 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 24 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 25 H -0.27 -6.29 6.46 56.52 0.37 -5.93 16 26 C 0.01 0.33 5.97 -27.48 -0.16 0.17 16 27 C -0.11 -2.34 5.40 -26.63 -0.14 -2.48 16 28 H 0.08 0.15 8.14 -51.93 -0.42 -0.28 16 29 H 0.07 0.22 8.14 -51.93 -0.42 -0.20 16 30 H 0.07 0.22 8.14 -51.93 -0.42 -0.20 16 31 H 0.07 0.39 8.13 -51.93 -0.42 -0.03 16 32 H 0.07 0.39 8.13 -51.93 -0.42 -0.03 16 33 H 0.11 0.35 8.14 -51.93 -0.42 -0.07 16 34 H 0.11 0.35 8.14 -51.93 -0.42 -0.07 16 35 H 0.07 0.47 8.10 -51.93 -0.42 0.05 16 36 H 0.07 0.47 8.10 -51.93 -0.42 0.05 16 37 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 38 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 39 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 40 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 41 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 42 H 0.06 0.70 8.14 -51.93 -0.42 0.27 16 43 H 0.39 3.47 8.49 -40.82 -0.35 3.13 16 44 H 0.39 5.10 8.61 -40.82 -0.35 4.75 16 45 H 0.04 0.80 8.14 -51.93 -0.42 0.38 16 46 H 0.05 1.06 8.14 -51.93 -0.42 0.63 16 47 H 0.02 0.47 8.14 -51.92 -0.42 0.05 16 48 H 0.03 0.72 4.79 -51.93 -0.25 0.47 16 49 H 0.26 7.19 8.31 -40.82 -0.34 6.85 16 50 H 0.06 1.63 7.07 -51.93 -0.37 1.26 16 51 H 0.01 0.16 8.14 -51.93 -0.42 -0.26 16 52 H 0.03 0.65 8.14 -51.93 -0.42 0.23 16 53 H 0.05 1.11 8.14 -51.93 -0.42 0.68 16 LS Contribution 424.28 15.07 6.39 6.39 Total: -1.00 -33.94 424.28 -10.40 -44.34 By element: Atomic # 1 Polarization: 10.23 SS G_CDS: -9.75 Total: 0.48 kcal Atomic # 6 Polarization: 1.71 SS G_CDS: -1.84 Total: -0.13 kcal Atomic # 7 Polarization: -46.56 SS G_CDS: 0.04 Total: -46.52 kcal Atomic # 8 Polarization: -20.67 SS G_CDS: -0.61 Total: -21.28 kcal Atomic # 14 Polarization: 21.36 SS G_CDS: -4.64 Total: 16.73 kcal Total LS contribution 6.39 Total: 6.39 kcal Total: -33.94 -10.40 -44.34 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. ZINC001189675239.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 -117.566 kcal (2) G-P(sol) polarization free energy of solvation -33.940 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -151.506 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.401 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.341 kcal (6) G-S(sol) free energy of system = (1) + (5) -161.908 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds