Wall clock time and date at job start Tue Mar 31 2020 19:53:56 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 1.53002 * 1 3 3 C 1.53002 * 109.46985 * 2 1 4 4 C 1.52999 * 109.47171 * 239.99933 * 2 1 3 5 5 C 1.50701 * 109.47142 * 119.99596 * 2 1 3 6 6 O 1.20779 * 120.00192 * 0.02562 * 5 2 1 7 7 C 1.49086 * 120.00140 * 179.97438 * 5 2 1 8 8 O 1.21373 * 119.99839 * 7.02829 * 7 5 2 9 9 N 1.34831 * 120.00280 * 187.02043 * 7 5 2 10 10 C 1.43422 * 120.08912 * 358.57429 * 9 7 5 11 11 C 1.54602 * 116.14805 * 269.13923 * 10 9 7 12 12 C 1.54747 * 110.27154 * 327.18172 * 11 10 9 13 13 C 1.49014 * 111.90252 * 313.53830 * 12 11 10 14 14 C 1.51971 * 109.61121 * 96.91174 * 13 12 11 15 15 C 1.56894 * 106.30319 * 159.46271 * 14 13 12 16 16 C 1.54463 * 102.32932 * 283.51347 * 15 14 13 17 17 N 1.47196 * 107.08010 * 337.86883 * 16 15 14 18 18 C 1.36735 * 126.15588 * 174.88586 * 17 16 15 19 19 H 1.08001 * 119.99286 * 179.97438 * 18 17 16 20 20 C 1.38807 * 120.00378 * 359.97438 * 18 17 16 21 21 N 1.31618 * 120.00149 * 359.97438 * 20 18 17 22 22 Si 1.86796 * 120.00047 * 179.97438 * 20 18 17 23 23 H 1.48507 * 109.47240 * 90.00005 * 22 20 18 24 24 H 1.48505 * 109.47239 * 209.99427 * 22 20 18 25 25 H 1.48498 * 109.47311 * 329.99815 * 22 20 18 26 26 C 1.47434 * 107.67011 * 355.03088 * 17 16 15 27 27 C 1.46210 * 115.98036 * 281.62380 * 14 13 12 28 28 H 1.08995 * 109.47159 * 299.99941 * 1 2 3 29 29 H 1.08998 * 109.46825 * 60.00050 * 1 2 3 30 30 H 1.09001 * 109.47116 * 180.02562 * 1 2 3 31 31 H 1.09005 * 109.46968 * 180.02562 * 3 2 1 32 32 H 1.09002 * 109.46811 * 299.99651 * 3 2 1 33 33 H 1.08995 * 109.47124 * 60.00038 * 3 2 1 34 34 H 1.09001 * 109.47039 * 299.99972 * 4 2 1 35 35 H 1.08998 * 109.47233 * 60.00266 * 4 2 1 36 36 H 1.09005 * 109.47327 * 179.97438 * 4 2 1 37 37 H 1.09298 * 107.72524 * 30.27161 * 10 9 7 38 38 H 1.08971 * 108.37854 * 146.75081 * 10 9 7 39 39 H 1.09296 * 109.03943 * 86.64421 * 11 10 9 40 40 H 1.08816 * 109.77101 * 205.98644 * 11 10 9 41 41 H 1.08341 * 109.04375 * 77.81312 * 12 11 10 42 42 H 1.10154 * 107.82113 * 194.56322 * 12 11 10 43 43 H 1.09631 * 110.33788 * 335.84172 * 13 12 11 44 44 H 1.09886 * 109.68189 * 217.07297 * 13 12 11 45 45 H 1.08686 * 110.23446 * 165.22733 * 15 14 13 46 46 H 1.08752 * 109.91372 * 41.48820 * 15 14 13 47 47 H 1.08875 * 109.97162 * 218.56465 * 16 15 14 48 48 H 1.08877 * 109.97816 * 97.25992 * 16 15 14 49 49 H 0.96998 * 120.00254 * 179.97438 * 21 20 18 50 50 H 1.07936 * 111.39792 * 153.02543 * 26 17 16 51 51 H 1.09897 * 109.02712 * 273.76590 * 26 17 16 52 52 H 1.09434 * 109.47972 * 172.42438 * 27 14 13 53 53 H 1.09416 * 109.49808 * 291.42155 * 27 14 13 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 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 -1.2492 5 6 2.0324 -0.7103 1.2305 6 8 1.2475 -1.1697 2.0254 7 6 3.4981 -0.8470 1.4662 8 8 4.2854 -0.2787 0.7380 9 7 3.9491 -1.6019 2.4883 10 6 3.0202 -2.2494 3.3685 11 6 2.5969 -1.4483 4.6213 12 6 3.7657 -0.5593 5.1094 13 6 5.0519 -1.3101 5.1592 14 6 5.8455 -1.0472 3.8901 15 6 7.3379 -1.3982 4.2233 16 6 7.7874 -0.1747 5.0522 17 7 6.8833 0.9353 4.7096 18 6 6.8694 2.1730 5.2905 19 1 6.1596 2.9168 4.9596 20 6 7.7674 2.4737 6.3053 21 7 8.6321 1.5671 6.7089 22 14 7.7489 4.1648 7.0983 23 1 6.8224 4.1572 8.2589 24 1 9.1175 4.5103 7.5598 25 1 7.2920 5.1715 6.1068 26 6 5.9934 0.4707 3.6299 27 6 5.4194 -1.7874 2.7034 28 1 -0.3633 0.5138 0.8899 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6767 1.9563 0.8899 34 1 1.6767 -1.7489 -1.2492 35 1 1.6768 -0.2074 -2.1392 36 1 3.1301 -0.7209 -1.2495 37 1 2.1188 -2.4754 2.7932 38 1 3.4557 -3.1941 3.6930 39 1 1.7491 -0.8078 4.3652 40 1 2.2975 -2.1330 5.4122 41 1 3.8338 0.3155 4.4739 42 1 3.5258 -0.2167 6.1284 43 1 4.8620 -2.3848 5.2631 44 1 5.6371 -0.9843 6.0303 45 1 7.9170 -1.4853 3.3077 46 1 7.3808 -2.3081 4.8174 47 1 8.8119 0.0911 4.7973 48 1 7.7138 -0.3982 6.1152 49 1 9.2599 1.7773 7.4178 50 1 5.0513 0.9973 3.6420 51 1 6.4886 0.6334 2.6624 52 1 5.9672 -1.4221 1.8293 53 1 5.6422 -2.8503 2.8364 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 ZINC001045924063.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 19:53:56 Heat of formation + Delta-G solvation = -29.509050 kcal Electronic energy + Delta-G solvation = -32369.155522 eV Core-core repulsion = 28435.369707 eV Total energy + Delta-G solvation = -3933.785816 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -41.32748 -39.64167 -38.11803 -36.68402 -35.48204 -33.26075 -32.96129 -30.52593 -28.75903 -27.88973 -27.47948 -27.33128 -25.97457 -25.16456 -24.78335 -23.30191 -21.47103 -20.14656 -19.96965 -18.50207 -18.26638 -17.06043 -16.84393 -16.49953 -15.89132 -15.51779 -15.20071 -14.76880 -14.54690 -14.52986 -14.16425 -13.88901 -13.72944 -13.53853 -13.18543 -13.11991 -12.74499 -12.44532 -12.42446 -12.37285 -12.18370 -11.91552 -11.80846 -11.77733 -11.62865 -11.43673 -11.29286 -11.17534 -10.86843 -10.83865 -10.74042 -10.67747 -10.44604 -10.20993 -10.08055 -9.77246 -9.68636 -9.61445 -9.54513 -9.02124 -8.56385 -8.53897 -6.75955 -5.65973 -2.97520 0.93544 2.62604 2.98628 3.42493 3.47990 3.49600 3.89646 4.35220 4.54712 4.63718 4.65420 4.89351 5.04115 5.07773 5.16091 5.20206 5.30644 5.34287 5.43754 5.45402 5.53873 5.54834 5.57266 5.63226 5.67243 5.70672 5.75269 5.81040 5.88111 5.92343 5.99003 5.99610 6.01424 6.05688 6.18015 6.21451 6.29302 6.38043 6.45219 6.46980 6.53024 6.63392 6.74966 6.85048 6.89097 7.02422 7.06586 7.40970 7.59572 7.66729 7.86748 7.97691 8.30476 9.27290 9.88016 10.57425 11.46012 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015010 B = 0.003705 C = 0.003448 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1864.918780 B = 7555.502997 C = 8118.513451 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.135 4.135 2 C -0.094 4.094 3 C -0.146 4.146 4 C -0.142 4.142 5 C 0.359 3.641 6 O -0.411 6.411 7 C 0.474 3.526 8 O -0.505 6.505 9 N -0.570 5.570 10 C 0.087 3.913 11 C -0.129 4.129 12 C -0.115 4.115 13 C -0.085 4.085 14 C -0.100 4.100 15 C -0.139 4.139 16 C 0.179 3.821 17 N -0.600 5.600 18 C -0.220 4.220 19 H 0.075 0.925 20 C -0.009 4.009 21 N -0.923 5.923 22 Si 0.908 3.092 23 H -0.290 1.290 24 H -0.291 1.291 25 H -0.282 1.282 26 C 0.153 3.847 27 C 0.137 3.863 28 H 0.061 0.939 29 H 0.065 0.935 30 H 0.060 0.940 31 H 0.085 0.915 32 H 0.067 0.933 33 H 0.056 0.944 34 H 0.054 0.946 35 H 0.069 0.931 36 H 0.078 0.922 37 H 0.099 0.901 38 H 0.065 0.935 39 H 0.060 0.940 40 H 0.068 0.932 41 H 0.069 0.931 42 H 0.051 0.949 43 H 0.049 0.951 44 H 0.079 0.921 45 H 0.056 0.944 46 H 0.061 0.939 47 H 0.033 0.967 48 H 0.054 0.946 49 H 0.251 0.749 50 H 0.044 0.956 51 H 0.014 0.986 52 H 0.094 0.906 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.613 -9.862 -12.213 21.446 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 -0.192 4.192 2 C -0.096 4.096 3 C -0.203 4.203 4 C -0.199 4.199 5 C 0.230 3.770 6 O -0.281 6.281 7 C 0.259 3.741 8 O -0.381 6.381 9 N -0.303 5.303 10 C -0.037 4.037 11 C -0.168 4.168 12 C -0.153 4.153 13 C -0.123 4.123 14 C -0.102 4.102 15 C -0.178 4.178 16 C 0.054 3.946 17 N -0.326 5.326 18 C -0.348 4.348 19 H 0.093 0.907 20 C -0.205 4.205 21 N -0.571 5.571 22 Si 0.739 3.261 23 H -0.217 1.217 24 H -0.217 1.217 25 H -0.208 1.208 26 C 0.027 3.973 27 C 0.017 3.983 28 H 0.080 0.920 29 H 0.084 0.916 30 H 0.079 0.921 31 H 0.104 0.896 32 H 0.086 0.914 33 H 0.075 0.925 34 H 0.073 0.927 35 H 0.088 0.912 36 H 0.097 0.903 37 H 0.116 0.884 38 H 0.084 0.916 39 H 0.079 0.921 40 H 0.087 0.913 41 H 0.087 0.913 42 H 0.070 0.930 43 H 0.068 0.932 44 H 0.097 0.903 45 H 0.075 0.925 46 H 0.080 0.920 47 H 0.051 0.949 48 H 0.072 0.928 49 H 0.061 0.939 50 H 0.062 0.938 51 H 0.032 0.968 52 H 0.113 0.887 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -14.486 -9.682 -11.986 21.148 hybrid contribution 0.116 0.921 0.720 1.175 sum -14.369 -8.761 -11.265 20.252 Atomic orbital electron populations 1.21777 0.92337 1.02602 1.02519 1.20952 0.97180 0.97652 0.93796 1.21940 1.03885 0.92122 1.02341 1.21878 1.03125 0.99535 0.95368 1.24991 0.89068 0.76230 0.86748 1.90280 1.59087 1.35206 1.43538 1.20801 0.90507 0.80740 0.82091 1.90717 1.56802 1.44288 1.46338 1.48035 1.07965 1.47485 1.26784 1.21686 0.94001 0.95216 0.92830 1.22564 0.98629 0.99264 0.96300 1.21205 0.94002 0.98779 1.01286 1.20581 0.95541 0.98486 0.97643 1.20927 0.96439 0.98279 0.94524 1.23408 0.94094 1.00152 1.00123 1.21110 0.93030 0.83670 0.96809 1.44422 1.37206 1.11057 1.39900 1.18980 1.14593 0.88168 1.13101 0.90746 1.24735 0.98469 0.97957 0.99349 1.69941 1.22865 1.32636 1.31700 0.86171 0.76800 0.83806 0.79339 1.21750 1.21747 1.20802 1.21546 0.93976 0.90112 0.91655 1.20986 0.78232 0.99972 0.99157 0.91953 0.91582 0.92118 0.89573 0.91400 0.92506 0.92676 0.91210 0.90348 0.88377 0.91629 0.92076 0.91287 0.91257 0.93037 0.93208 0.90255 0.92532 0.92048 0.94932 0.92768 0.93905 0.93755 0.96843 0.88746 0.90815 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 -0.14 -1.15 7.76 37.16 0.29 -0.86 16 2 C -0.09 -0.95 0.76 -155.66 -0.12 -1.07 16 3 C -0.15 -1.52 8.29 37.16 0.31 -1.21 16 4 C -0.14 -1.26 8.29 37.16 0.31 -0.95 16 5 C 0.36 4.40 5.87 -29.81 -0.17 4.22 16 6 O -0.41 -5.22 11.76 5.98 0.07 -5.15 16 7 C 0.47 6.73 7.39 -11.73 -0.09 6.64 16 8 O -0.51 -8.12 12.92 5.48 0.07 -8.05 16 9 N -0.57 -7.82 2.47 -176.27 -0.44 -8.25 16 10 C 0.09 1.05 4.50 -4.83 -0.02 1.03 16 11 C -0.13 -1.68 6.18 -24.97 -0.15 -1.83 16 12 C -0.12 -1.87 5.13 -27.77 -0.14 -2.01 16 13 C -0.09 -1.42 4.00 -29.21 -0.12 -1.54 16 14 C -0.10 -1.70 0.54 -155.25 -0.08 -1.79 16 15 C -0.14 -2.52 5.68 -23.86 -0.14 -2.65 16 16 C 0.18 4.29 4.57 -2.89 -0.01 4.28 16 17 N -0.60 -15.31 3.11 -170.20 -0.53 -15.83 16 18 C -0.22 -6.19 10.30 -15.15 -0.16 -6.34 16 19 H 0.07 2.06 7.83 -52.49 -0.41 1.65 16 20 C -0.01 -0.26 5.49 -17.43 -0.10 -0.36 16 21 N -0.92 -27.21 10.38 55.49 0.58 -26.63 16 22 Si 0.91 22.47 29.55 -169.99 -5.02 17.45 16 23 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 24 H -0.29 -7.27 7.11 56.52 0.40 -6.87 16 25 H -0.28 -6.86 7.11 56.52 0.40 -6.45 16 26 C 0.15 3.28 5.65 -2.63 -0.01 3.26 16 27 C 0.14 1.97 4.69 -5.46 -0.03 1.94 16 28 H 0.06 0.57 8.10 -51.93 -0.42 0.15 16 29 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 30 H 0.06 0.51 8.10 -51.93 -0.42 0.09 16 31 H 0.09 1.08 6.22 -51.93 -0.32 0.75 16 32 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 33 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 34 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 36 H 0.08 0.82 6.67 -51.93 -0.35 0.47 16 37 H 0.10 1.16 4.95 -52.59 -0.26 0.90 16 38 H 0.07 0.71 7.70 -51.95 -0.40 0.31 16 39 H 0.06 0.82 7.23 -51.76 -0.37 0.45 16 40 H 0.07 0.79 8.13 -52.03 -0.42 0.37 16 41 H 0.07 1.29 5.31 -52.30 -0.28 1.01 16 42 H 0.05 0.86 8.24 -51.27 -0.42 0.44 16 43 H 0.05 0.72 7.34 -51.57 -0.38 0.34 16 44 H 0.08 1.60 6.68 -51.42 -0.34 1.26 16 45 H 0.06 0.97 8.00 -52.11 -0.42 0.55 16 46 H 0.06 1.00 7.95 -52.07 -0.41 0.58 16 47 H 0.03 0.87 7.75 -52.00 -0.40 0.47 16 48 H 0.05 1.44 6.73 -52.00 -0.35 1.09 16 49 H 0.25 7.21 8.31 -40.82 -0.34 6.87 16 50 H 0.04 0.98 5.86 -52.52 -0.31 0.67 16 51 H 0.01 0.31 8.00 -51.42 -0.41 -0.10 16 52 H 0.09 1.46 6.91 -51.68 -0.36 1.10 16 53 H 0.07 0.90 8.12 -51.69 -0.42 0.48 16 LS Contribution 387.43 15.07 5.84 5.84 Total: -1.00 -30.57 387.43 -9.00 -39.57 By element: Atomic # 1 Polarization: 9.43 SS G_CDS: -9.13 Total: 0.30 kcal Atomic # 6 Polarization: 1.20 SS G_CDS: -0.44 Total: 0.77 kcal Atomic # 7 Polarization: -50.33 SS G_CDS: -0.39 Total: -50.72 kcal Atomic # 8 Polarization: -13.34 SS G_CDS: 0.14 Total: -13.20 kcal Atomic # 14 Polarization: 22.47 SS G_CDS: -5.02 Total: 17.45 kcal Total LS contribution 5.84 Total: 5.84 kcal Total: -30.57 -9.00 -39.57 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. ZINC001045924063.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 10.062 kcal (2) G-P(sol) polarization free energy of solvation -30.573 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -20.511 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.998 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.571 kcal (6) G-S(sol) free energy of system = (1) + (5) -29.509 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds