Wall clock time and date at job start Sat Apr 11 2020 06:13:17 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 1.53005 * 1 3 3 O 1.42901 * 109.46931 * 2 1 4 4 C 1.42897 * 113.99731 * 185.72865 * 3 2 1 5 5 H 1.09004 * 109.47516 * 20.98210 * 4 3 2 6 6 C 1.50700 * 109.47022 * 140.97858 * 4 3 2 7 7 O 1.21276 * 120.00371 * 22.37198 * 6 4 3 8 8 N 1.34779 * 119.99807 * 202.37985 * 6 4 3 9 9 C 1.46508 * 119.99706 * 183.50996 * 8 6 4 10 10 C 1.53002 * 109.46869 * 175.07391 * 9 8 6 11 11 C 1.52995 * 109.46808 * 183.16484 * 10 9 8 12 12 C 1.52997 * 115.55068 * 64.44584 * 11 10 9 13 13 N 1.46497 * 109.47454 * 64.79835 * 12 11 10 14 14 C 1.36941 * 120.00561 * 185.16607 * 13 12 11 15 15 H 1.08004 * 119.99505 * 4.61154 * 14 13 12 16 16 C 1.38805 * 120.00506 * 184.61328 * 14 13 12 17 17 N 1.31622 * 120.00166 * 173.58662 * 16 14 13 18 18 Si 1.86800 * 119.99949 * 353.59161 * 16 14 13 19 19 H 1.48503 * 109.47129 * 93.35349 * 18 16 14 20 20 H 1.48493 * 109.47164 * 213.35530 * 18 16 14 21 21 H 1.48499 * 109.47081 * 333.35624 * 18 16 14 22 22 C 1.52998 * 117.50058 * 278.77220 * 11 10 9 23 23 C 1.53006 * 117.49778 * 210.10909 * 11 10 9 24 24 C 1.52994 * 109.47349 * 260.97707 * 4 3 2 25 25 H 1.09005 * 110.80409 * 295.61987 * 24 4 3 26 26 C 1.54804 * 110.91095 * 171.98688 * 24 4 3 27 27 C 1.54104 * 104.18818 * 220.92092 * 26 24 4 28 28 O 1.43742 * 107.29217 * 357.97046 * 27 26 24 29 29 C 1.44418 * 107.00289 * 26.48865 * 28 27 26 30 30 H 1.09001 * 109.47134 * 180.02562 * 1 2 3 31 31 H 1.09002 * 109.46947 * 300.00273 * 1 2 3 32 32 H 1.08998 * 109.46874 * 60.00601 * 1 2 3 33 33 H 1.08996 * 109.47349 * 239.99729 * 2 1 3 34 34 H 1.08998 * 109.46874 * 119.99399 * 2 1 3 35 35 H 0.97002 * 120.00285 * 3.50145 * 8 6 4 36 36 H 1.09000 * 109.46771 * 295.07065 * 9 8 6 37 37 H 1.08999 * 109.47193 * 55.07395 * 9 8 6 38 38 H 1.09007 * 109.47200 * 303.16316 * 10 9 8 39 39 H 1.08994 * 109.47461 * 63.16408 * 10 9 8 40 40 H 1.09006 * 109.47672 * 184.79888 * 12 11 10 41 41 H 1.08996 * 109.47306 * 304.79483 * 12 11 10 42 42 H 0.96997 * 120.00118 * 5.16533 * 13 12 11 43 43 H 0.96998 * 119.99674 * 180.02562 * 17 16 14 44 44 H 1.09000 * 117.50034 * 0.02562 * 22 11 10 45 45 H 1.09001 * 117.50266 * 145.02379 * 22 11 10 46 46 H 1.08997 * 117.49880 * 214.97668 * 23 11 10 47 47 H 1.08993 * 117.49533 * 359.97438 * 23 11 10 48 48 H 1.09003 * 110.48961 * 339.59958 * 26 24 4 49 49 H 1.09005 * 110.49109 * 102.11589 * 26 24 4 50 50 H 1.09005 * 109.87846 * 117.39736 * 27 26 24 51 51 H 1.09006 * 109.87802 * 238.54278 * 27 26 24 52 52 H 1.08997 * 110.64996 * 201.48153 * 29 28 27 53 53 H 1.08998 * 110.60066 * 78.46926 * 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 6 1.5301 0.0000 0.0000 3 8 2.0063 1.3473 0.0000 4 6 3.4247 1.4623 -0.1303 5 1 3.8247 0.5479 -0.5685 6 6 3.7541 2.6321 -1.0214 7 8 2.9490 3.5269 -1.1699 8 7 4.9433 2.6839 -1.6535 9 6 5.2947 3.8567 -2.4582 10 6 6.7330 3.7177 -2.9612 11 6 7.1265 4.9775 -3.7350 12 6 7.1750 6.2678 -2.9144 13 7 8.2344 6.1668 -1.9075 14 6 8.3974 7.1634 -0.9826 15 1 7.6998 7.9872 -0.9479 16 6 9.4592 7.1150 -0.0899 17 7 9.6903 8.1315 0.7136 18 14 10.5603 5.6072 -0.0290 19 1 11.7325 5.8140 -0.9169 20 1 11.0265 5.3907 1.3641 21 1 9.7970 4.4181 -0.4859 22 6 6.6703 5.0833 -5.1915 23 6 8.1434 4.8220 -4.8676 24 6 4.0476 1.6813 1.2498 25 1 3.7213 2.6302 1.6757 26 6 5.5923 1.6107 1.1764 27 6 5.9948 0.8229 2.4381 28 8 4.7885 0.5333 3.1640 29 6 3.7128 0.5040 2.2009 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5137 -0.8900 33 1 1.8934 -0.5138 -0.8899 34 1 1.8933 -0.5137 0.8900 35 1 5.5666 1.9447 -1.5757 36 1 4.6176 3.9295 -3.3092 37 1 5.2087 4.7554 -1.8474 38 1 7.4040 3.5884 -2.1119 39 1 6.8062 2.8505 -3.6174 40 1 7.3803 7.1107 -3.5743 41 1 6.2161 6.4195 -2.4189 42 1 8.8204 5.3939 -1.8959 43 1 10.4326 8.0977 1.3372 44 1 6.0893 4.2556 -5.5984 45 1 6.4050 6.0723 -5.5653 46 1 8.8466 5.6392 -5.0284 47 1 8.5323 3.8223 -5.0611 48 1 5.9077 1.0797 0.2782 49 1 6.0214 2.6125 1.1966 50 1 6.4882 -0.1064 2.1532 51 1 6.6625 1.4256 3.0541 52 1 2.7532 0.6677 2.6912 53 1 3.7108 -0.4404 1.6567 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 ZINC001166408798.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 06:13:17 Heat of formation + Delta-G solvation = -95.033642 kcal Electronic energy + Delta-G solvation = -31065.625956 eV Core-core repulsion = 26938.542729 eV Total energy + Delta-G solvation = -4127.083227 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.96 seconds Orbital eigenvalues (eV) -40.69454 -39.20617 -38.47115 -37.80261 -34.93871 -34.07504 -33.50499 -31.40290 -31.14532 -30.28545 -29.63069 -27.00413 -26.21797 -23.60177 -23.12964 -22.79958 -22.49214 -21.81847 -21.25427 -20.65670 -18.88041 -17.77057 -17.47973 -17.14509 -16.93877 -16.38411 -15.74836 -15.59502 -15.38379 -15.19773 -14.96608 -14.54745 -14.53258 -14.02600 -13.99425 -13.64391 -13.37278 -13.20860 -12.97562 -12.70076 -12.64947 -12.46279 -12.39676 -12.10005 -11.88112 -11.74395 -11.68849 -11.57364 -11.34473 -11.32275 -11.22921 -11.10397 -10.93435 -10.75573 -10.29808 -10.22178 -9.95009 -9.92588 -9.65326 -9.55562 -9.48957 -9.09112 -8.86954 -7.22161 -5.77567 -3.12031 2.48072 2.64913 3.32954 3.35762 3.42284 3.45088 3.66266 3.90501 4.20878 4.31049 4.41170 4.50734 4.57401 4.68128 4.74515 4.78662 4.81966 4.83170 4.90358 4.92316 4.99749 5.00763 5.10222 5.16228 5.30131 5.35445 5.38449 5.41178 5.50468 5.54299 5.57179 5.57511 5.61667 5.69486 5.76919 5.79941 5.81794 5.85815 6.03656 6.08482 6.24993 6.27929 6.31001 6.36296 6.54014 6.66876 6.70696 6.71300 7.38587 8.00708 8.13535 8.41946 9.21558 9.93594 10.14788 11.40965 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009817 B = 0.003342 C = 0.002729 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2851.567835 B = 8375.649520 C =10259.402922 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.048 3.952 3 O -0.352 6.352 4 C 0.089 3.911 5 H 0.083 0.917 6 C 0.511 3.489 7 O -0.513 6.513 8 N -0.726 5.726 9 C 0.123 3.877 10 C -0.088 4.088 11 C -0.127 4.127 12 C 0.192 3.808 13 N -0.750 5.750 14 C -0.242 4.242 15 H 0.089 0.911 16 C 0.004 3.996 17 N -0.933 5.933 18 Si 0.883 3.117 19 H -0.285 1.285 20 H -0.292 1.292 21 H -0.278 1.278 22 C -0.172 4.172 23 C -0.169 4.169 24 C -0.135 4.135 25 H 0.104 0.896 26 C -0.155 4.155 27 C 0.048 3.952 28 O -0.375 6.375 29 C 0.057 3.943 30 H 0.071 0.929 31 H 0.066 0.934 32 H 0.065 0.935 33 H 0.050 0.950 34 H 0.054 0.946 35 H 0.396 0.604 36 H 0.065 0.935 37 H 0.082 0.918 38 H 0.078 0.922 39 H 0.062 0.938 40 H 0.026 0.974 41 H 0.035 0.965 42 H 0.360 0.640 43 H 0.259 0.741 44 H 0.090 0.910 45 H 0.095 0.905 46 H 0.097 0.903 47 H 0.088 0.912 48 H 0.075 0.925 49 H 0.092 0.908 50 H 0.060 0.940 51 H 0.090 0.910 52 H 0.098 0.902 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.243 -22.168 -5.310 25.876 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 -0.209 4.209 2 C -0.029 4.029 3 O -0.270 6.270 4 C 0.027 3.973 5 H 0.101 0.899 6 C 0.295 3.705 7 O -0.387 6.387 8 N -0.379 5.379 9 C 0.000 4.000 10 C -0.126 4.126 11 C -0.128 4.128 12 C 0.065 3.935 13 N -0.396 5.396 14 C -0.372 4.372 15 H 0.107 0.893 16 C -0.191 4.191 17 N -0.581 5.581 18 Si 0.714 3.286 19 H -0.212 1.212 20 H -0.218 1.218 21 H -0.204 1.204 22 C -0.209 4.209 23 C -0.206 4.206 24 C -0.155 4.155 25 H 0.122 0.878 26 C -0.193 4.193 27 C -0.029 4.029 28 O -0.294 6.294 29 C -0.020 4.020 30 H 0.090 0.910 31 H 0.085 0.915 32 H 0.084 0.916 33 H 0.068 0.932 34 H 0.072 0.928 35 H 0.230 0.770 36 H 0.084 0.916 37 H 0.100 0.900 38 H 0.097 0.903 39 H 0.081 0.919 40 H 0.044 0.956 41 H 0.053 0.947 42 H 0.193 0.807 43 H 0.069 0.931 44 H 0.108 0.892 45 H 0.113 0.887 46 H 0.116 0.884 47 H 0.107 0.893 48 H 0.093 0.907 49 H 0.111 0.889 50 H 0.079 0.921 51 H 0.108 0.892 52 H 0.116 0.884 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges -13.023 -21.141 -5.042 25.337 hybrid contribution 1.507 -1.537 -0.122 2.156 sum -11.516 -22.678 -5.164 25.954 Atomic orbital electron populations 1.21738 0.93231 1.02274 1.03612 1.22774 0.96258 0.83564 1.00272 1.88089 1.18632 1.26326 1.93970 1.21872 0.83757 0.97333 0.94338 0.89945 1.20310 0.81991 0.87883 0.80296 1.90741 1.47578 1.38614 1.61803 1.46041 1.18374 1.22191 1.51337 1.21407 0.95435 0.88249 0.94882 1.21220 0.95404 0.95911 1.00092 1.21629 1.04269 0.97232 0.89662 1.20173 0.92375 0.91173 0.89822 1.42608 1.37464 1.24131 1.35355 1.19056 1.09115 1.00849 1.08178 0.89298 1.24657 0.97996 0.97365 0.99104 1.69723 1.32072 1.29916 1.26346 0.86541 0.81193 0.83936 0.76977 1.21218 1.21805 1.20399 1.22988 0.97499 1.02807 0.97630 1.22991 0.92409 1.02611 1.02583 1.23156 0.95382 1.02086 0.94851 0.87790 1.23061 0.94317 1.03045 0.98830 1.23174 0.88114 0.98762 0.92839 1.88911 1.16625 1.92308 1.31532 1.23617 0.92003 0.96105 0.90239 0.90973 0.91537 0.91623 0.93196 0.92815 0.76999 0.91643 0.90013 0.90346 0.91936 0.95607 0.94683 0.80701 0.93098 0.89160 0.88673 0.88407 0.89327 0.90666 0.88928 0.92148 0.89208 0.88360 0.92305 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.04 10.28 37.16 0.38 -0.66 16 2 C 0.05 0.37 6.23 37.16 0.23 0.60 16 3 O -0.35 -4.05 9.44 -54.07 -0.51 -4.56 16 4 C 0.09 0.91 2.11 -27.89 -0.06 0.85 16 5 H 0.08 0.59 7.53 -51.93 -0.39 0.20 16 6 C 0.51 6.91 6.81 -10.98 -0.07 6.83 16 7 O -0.51 -9.41 16.65 -13.27 -0.22 -9.63 16 8 N -0.73 -8.26 5.16 -60.29 -0.31 -8.57 16 9 C 0.12 1.64 5.56 -4.04 -0.02 1.61 16 10 C -0.09 -1.11 5.13 -26.73 -0.14 -1.25 16 11 C -0.13 -1.82 1.54 -154.51 -0.24 -2.06 16 12 C 0.19 3.63 5.91 -4.04 -0.02 3.60 16 13 N -0.75 -17.30 5.26 -59.91 -0.32 -17.61 16 14 C -0.24 -6.80 10.46 -15.06 -0.16 -6.96 16 15 H 0.09 2.71 8.06 -52.48 -0.42 2.28 16 16 C 0.00 0.13 5.50 -17.43 -0.10 0.04 16 17 N -0.93 -29.31 13.97 55.49 0.78 -28.53 16 18 Si 0.88 21.67 27.73 -169.99 -4.71 16.95 16 19 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16 20 H -0.29 -7.27 7.11 56.52 0.40 -6.87 16 21 H -0.28 -6.24 6.55 56.52 0.37 -5.87 16 22 C -0.17 -2.05 9.94 -26.69 -0.27 -2.31 16 23 C -0.17 -2.19 9.95 -26.69 -0.27 -2.45 16 24 C -0.14 -1.40 2.86 -88.62 -0.25 -1.65 16 25 H 0.10 1.31 8.14 -51.93 -0.42 0.89 16 26 C -0.15 -1.47 5.80 -25.20 -0.15 -1.61 16 27 C 0.05 0.46 7.70 37.73 0.29 0.75 16 28 O -0.37 -4.31 11.52 -35.23 -0.41 -4.72 16 29 C 0.06 0.52 5.64 38.21 0.22 0.74 16 30 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 31 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 33 H 0.05 0.32 7.98 -51.93 -0.41 -0.10 16 34 H 0.05 0.33 5.88 -51.93 -0.31 0.03 16 35 H 0.40 3.29 7.23 -40.82 -0.29 3.00 16 36 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 37 H 0.08 1.35 6.83 -51.93 -0.35 1.00 16 38 H 0.08 1.11 7.73 -51.93 -0.40 0.70 16 39 H 0.06 0.63 8.10 -51.93 -0.42 0.21 16 40 H 0.03 0.51 8.10 -51.93 -0.42 0.09 16 41 H 0.04 0.70 6.89 -51.93 -0.36 0.34 16 42 H 0.36 8.06 5.22 -40.82 -0.21 7.85 16 43 H 0.26 7.74 8.31 -40.82 -0.34 7.40 16 44 H 0.09 0.93 8.14 -51.93 -0.42 0.50 16 45 H 0.09 1.13 8.14 -51.93 -0.42 0.70 16 46 H 0.10 1.37 8.14 -51.93 -0.42 0.95 16 47 H 0.09 1.00 8.14 -51.93 -0.42 0.58 16 48 H 0.07 0.53 6.65 -51.93 -0.35 0.19 16 49 H 0.09 1.05 8.14 -51.93 -0.42 0.62 16 50 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 51 H 0.09 0.88 8.14 -51.93 -0.42 0.46 16 52 H 0.10 0.87 8.12 -51.93 -0.42 0.44 16 53 H 0.06 0.42 7.03 -51.93 -0.36 0.06 16 LS Contribution 419.26 15.07 6.32 6.32 Total: -1.00 -35.29 419.26 -9.37 -44.66 By element: Atomic # 1 Polarization: 18.98 SS G_CDS: -9.37 Total: 9.61 kcal Atomic # 6 Polarization: -3.30 SS G_CDS: -0.62 Total: -3.92 kcal Atomic # 7 Polarization: -54.86 SS G_CDS: 0.15 Total: -54.71 kcal Atomic # 8 Polarization: -17.77 SS G_CDS: -1.14 Total: -18.91 kcal Atomic # 14 Polarization: 21.67 SS G_CDS: -4.71 Total: 16.95 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -35.29 -9.37 -44.66 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. ZINC001166408798.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 -50.372 kcal (2) G-P(sol) polarization free energy of solvation -35.289 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.662 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.372 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.661 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.034 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.96 seconds