Wall clock time and date at job start Sat Apr 11 2020 06:10:57 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 1.53007 * 1 3 3 O 1.42895 * 109.47080 * 2 1 4 4 C 1.42902 * 114.00052 * 184.96669 * 3 2 1 5 5 H 1.09008 * 109.46878 * 334.11797 * 4 3 2 6 6 C 1.50696 * 109.47429 * 94.11562 * 4 3 2 7 7 O 1.21278 * 119.99999 * 5.00277 * 6 4 3 8 8 N 1.34782 * 120.00148 * 185.00510 * 6 4 3 9 9 C 1.46501 * 119.99763 * 180.02562 * 8 6 4 10 10 C 1.53005 * 109.46840 * 179.97438 * 9 8 6 11 11 H 1.09002 * 109.68049 * 299.76984 * 10 9 8 12 12 C 1.53293 * 109.68123 * 179.25264 * 10 9 8 13 13 O 1.42976 * 109.21285 * 188.01202 * 12 10 9 14 14 C 1.42962 * 114.20061 * 62.52935 * 13 12 10 15 15 C 1.53300 * 109.21846 * 297.43013 * 14 13 12 16 16 N 1.47151 * 109.67873 * 60.28535 * 10 9 8 17 17 C 1.36935 * 120.98599 * 350.23800 * 16 10 9 18 18 H 1.08003 * 119.99456 * 31.85992 * 17 16 10 19 19 C 1.38812 * 119.99961 * 211.85566 * 17 16 10 20 20 N 1.31614 * 120.00035 * 10.09838 * 19 17 16 21 21 Si 1.86801 * 119.99714 * 190.09564 * 19 17 16 22 22 H 1.48500 * 109.47149 * 90.00260 * 21 19 17 23 23 H 1.48506 * 109.46847 * 210.00076 * 21 19 17 24 24 H 1.48503 * 109.47230 * 330.00000 * 21 19 17 25 25 C 1.52994 * 109.47356 * 214.12000 * 4 3 2 26 26 C 1.54892 * 110.48727 * 305.78605 * 25 4 3 27 27 C 1.55229 * 102.58959 * 156.67478 * 26 25 4 28 28 C 1.54271 * 104.23621 * 322.08674 * 27 26 25 29 29 C 1.53875 * 106.59552 * 23.60700 * 28 27 26 30 30 H 1.09006 * 109.46850 * 59.99721 * 1 2 3 31 31 H 1.08995 * 109.47238 * 180.02562 * 1 2 3 32 32 H 1.08997 * 109.46791 * 300.00232 * 1 2 3 33 33 H 1.08997 * 109.46791 * 239.99768 * 2 1 3 34 34 H 1.08996 * 109.46966 * 120.00236 * 2 1 3 35 35 H 0.96999 * 120.00193 * 359.97438 * 8 6 4 36 36 H 1.08998 * 109.47156 * 299.99554 * 9 8 6 37 37 H 1.09001 * 109.47355 * 59.99894 * 9 8 6 38 38 H 1.08994 * 109.51227 * 307.90062 * 12 10 9 39 39 H 1.09003 * 109.51251 * 68.04918 * 12 10 9 40 40 H 1.08999 * 109.51626 * 177.50849 * 14 13 12 41 41 H 1.09002 * 109.55647 * 57.37652 * 14 13 12 42 42 H 1.08995 * 109.68181 * 292.57904 * 15 14 13 43 43 H 1.08997 * 109.71141 * 172.04177 * 15 14 13 44 44 H 0.97004 * 120.00284 * 179.97438 * 20 19 17 45 45 H 1.09003 * 110.43569 * 183.24386 * 25 4 3 46 46 H 1.08997 * 110.75570 * 275.07108 * 26 25 4 47 47 H 1.09001 * 110.75352 * 38.43804 * 26 25 4 48 48 H 1.08999 * 110.47271 * 203.39334 * 27 26 25 49 49 H 1.09001 * 110.58189 * 80.83087 * 27 26 25 50 50 H 1.08995 * 110.02838 * 264.33139 * 28 27 26 51 51 H 1.08996 * 110.03655 * 142.89261 * 28 27 26 52 52 H 1.09001 * 110.03688 * 240.71989 * 29 28 27 53 53 H 1.08996 * 110.03152 * 119.28617 * 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 2.0064 1.3472 0.0000 4 6 3.4263 1.4617 -0.1130 5 1 3.8956 0.5566 0.2726 6 6 3.8019 1.6445 -1.5609 7 8 2.9360 1.7648 -2.4015 8 7 5.1002 1.6742 -1.9218 9 6 5.4653 1.8524 -3.3294 10 6 6.9893 1.8504 -3.4651 11 1 7.4110 2.6674 -2.8795 12 6 7.3766 2.0180 -4.9388 13 8 8.7868 1.8284 -5.0792 14 6 9.2413 0.5220 -4.7180 15 6 8.9495 0.2788 -3.2328 16 7 7.5278 0.5676 -2.9858 17 6 6.7298 -0.3306 -2.3289 18 1 5.6803 -0.4003 -2.5737 19 6 7.2700 -1.1516 -1.3485 20 7 8.4917 -0.9359 -0.9092 21 14 6.2626 -2.5624 -0.6526 22 1 6.5019 -3.7863 -1.4588 23 1 6.6649 -2.8105 0.7553 24 1 4.8203 -2.2119 -0.7009 25 6 3.9066 2.6690 0.6947 26 6 3.1460 3.9474 0.2630 27 6 3.2813 4.8596 1.5117 28 6 3.1517 3.8907 2.7052 29 6 3.5492 2.4979 2.1857 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 -0.3633 0.5139 0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 1.8934 -0.5139 0.8899 35 1 5.7928 1.5783 -1.2495 36 1 5.0466 1.0371 -3.9193 37 1 5.0700 2.8021 -3.6899 38 1 6.8486 1.2782 -5.5403 39 1 7.1081 3.0198 -5.2742 40 1 10.3142 0.4479 -4.8951 41 1 8.7208 -0.2243 -5.3182 42 1 9.5691 0.9376 -2.6243 43 1 9.1619 -0.7603 -2.9817 44 1 8.8691 -1.5093 -0.2238 45 1 4.9812 2.8052 0.5732 46 1 3.6202 4.4043 -0.6055 47 1 2.0987 3.7237 0.0596 48 1 2.4809 5.5992 1.5322 49 1 4.2541 5.3512 1.5235 50 1 2.1226 3.8757 3.0638 51 1 3.8230 4.1953 3.5081 52 1 2.7129 1.8069 2.2922 53 1 4.4134 2.1266 2.7365 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 ZINC001724772826.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 06:10:57 Heat of formation + Delta-G solvation = -116.337662 kcal Electronic energy + Delta-G solvation = -32659.250531 eV Core-core repulsion = 28531.243493 eV Total energy + Delta-G solvation = -4128.007038 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -39.97358 -38.65446 -37.67263 -36.81581 -35.26052 -33.56885 -32.05429 -31.38333 -30.49734 -29.53402 -28.58699 -27.28735 -26.16660 -24.40758 -23.49358 -22.73484 -21.72090 -20.70174 -20.02537 -19.71260 -19.45053 -17.45911 -16.57503 -16.48031 -15.98061 -15.61995 -15.56744 -15.31510 -14.93029 -14.66075 -14.62696 -14.25191 -13.89504 -13.69839 -13.52045 -13.31441 -13.21135 -12.96549 -12.76098 -12.60968 -12.26090 -11.89372 -11.76952 -11.58271 -11.29209 -11.23192 -11.10633 -11.05423 -10.96542 -10.96176 -10.78530 -10.57273 -10.45697 -10.38415 -10.34306 -10.29406 -10.10418 -10.03630 -9.69713 -9.12041 -8.75815 -8.71882 -8.25761 -6.77168 -5.96542 -3.46974 3.15602 3.20244 3.28595 3.30274 3.49940 4.02033 4.27472 4.50280 4.62596 4.68528 4.82277 5.09557 5.14445 5.20402 5.20729 5.26143 5.35137 5.44434 5.47797 5.58148 5.58682 5.62743 5.69012 5.70747 5.75379 5.77997 5.83679 5.84821 5.98924 5.99924 6.00793 6.01823 6.08276 6.13129 6.14236 6.17643 6.21407 6.30229 6.34100 6.40017 6.49811 6.55853 6.73646 7.03602 7.10596 7.26889 7.45142 7.64389 7.83958 8.21759 8.25702 8.84752 9.00154 9.60103 10.20253 11.09774 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010485 B = 0.004253 C = 0.003790 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2669.714688 B = 6581.781039 C = 7385.185951 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.054 3.946 3 O -0.352 6.352 4 C 0.081 3.919 5 H 0.085 0.915 6 C 0.491 3.509 7 O -0.548 6.548 8 N -0.693 5.693 9 C 0.137 3.863 10 C 0.125 3.875 11 H 0.042 0.958 12 C 0.056 3.944 13 O -0.392 6.392 14 C 0.035 3.965 15 C 0.144 3.856 16 N -0.591 5.591 17 C -0.254 4.254 18 H 0.073 0.927 19 C 0.010 3.990 20 N -0.898 5.898 21 Si 0.893 3.107 22 H -0.285 1.285 23 H -0.288 1.288 24 H -0.279 1.279 25 C -0.085 4.085 26 C -0.114 4.114 27 C -0.124 4.124 28 C -0.120 4.120 29 C -0.117 4.117 30 H 0.064 0.936 31 H 0.067 0.933 32 H 0.060 0.940 33 H 0.050 0.950 34 H 0.046 0.954 35 H 0.414 0.586 36 H 0.065 0.935 37 H 0.058 0.942 38 H 0.046 0.954 39 H 0.083 0.917 40 H 0.079 0.921 41 H 0.040 0.960 42 H 0.030 0.970 43 H 0.091 0.909 44 H 0.256 0.744 45 H 0.091 0.909 46 H 0.063 0.937 47 H 0.080 0.920 48 H 0.061 0.939 49 H 0.063 0.937 50 H 0.061 0.939 51 H 0.059 0.941 52 H 0.070 0.930 53 H 0.064 0.936 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.714 5.981 3.813 10.479 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 -0.203 4.203 2 C -0.023 4.023 3 O -0.269 6.269 4 C 0.020 3.980 5 H 0.103 0.897 6 C 0.275 3.725 7 O -0.427 6.427 8 N -0.346 5.346 9 C 0.013 3.987 10 C 0.018 3.982 11 H 0.059 0.941 12 C -0.023 4.023 13 O -0.311 6.311 14 C -0.043 4.043 15 C 0.019 3.981 16 N -0.317 5.317 17 C -0.384 4.384 18 H 0.090 0.910 19 C -0.190 4.190 20 N -0.542 5.542 21 Si 0.723 3.277 22 H -0.212 1.212 23 H -0.214 1.214 24 H -0.204 1.204 25 C -0.104 4.104 26 C -0.151 4.151 27 C -0.161 4.161 28 C -0.157 4.157 29 C -0.155 4.155 30 H 0.083 0.917 31 H 0.086 0.914 32 H 0.079 0.921 33 H 0.069 0.931 34 H 0.064 0.936 35 H 0.252 0.748 36 H 0.083 0.917 37 H 0.076 0.924 38 H 0.065 0.935 39 H 0.101 0.899 40 H 0.098 0.902 41 H 0.059 0.941 42 H 0.048 0.952 43 H 0.110 0.890 44 H 0.066 0.934 45 H 0.109 0.891 46 H 0.081 0.919 47 H 0.099 0.901 48 H 0.080 0.920 49 H 0.082 0.918 50 H 0.079 0.921 51 H 0.078 0.922 52 H 0.089 0.911 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges -8.245 6.264 3.320 10.873 hybrid contribution 0.041 -1.543 0.768 1.724 sum -8.204 4.720 4.088 10.310 Atomic orbital electron populations 1.21687 0.93769 1.01892 1.02943 1.22544 0.95587 0.84010 1.00124 1.87913 1.19226 1.26107 1.93693 1.21899 0.83423 1.00095 0.92602 0.89718 1.21032 0.83035 0.77258 0.91137 1.90634 1.49181 1.50376 1.52501 1.46042 1.07053 1.71535 1.10008 1.21132 0.94544 1.00245 0.82815 1.21432 0.91771 0.90829 0.94147 0.94085 1.22866 0.82494 1.00403 0.96534 1.87801 1.22480 1.33120 1.87699 1.23349 0.98214 0.83701 0.99054 1.21411 0.84836 1.02254 0.89621 1.44076 1.07057 1.14058 1.66467 1.19223 0.93275 1.13122 1.12733 0.90996 1.25154 0.96853 1.00246 0.96716 1.69966 1.14969 1.38889 1.30369 0.86442 0.79751 0.83109 0.78428 1.21198 1.21433 1.20444 1.22117 1.00183 0.93445 0.94611 1.22519 1.01553 0.94016 0.97019 1.22401 1.01313 0.97568 0.94850 1.22072 1.01035 0.94882 0.97736 1.22139 1.01419 0.97591 0.94350 0.91682 0.91427 0.92132 0.93148 0.93594 0.74786 0.91708 0.92416 0.93546 0.89904 0.90244 0.94148 0.95229 0.89038 0.93393 0.89074 0.91850 0.90090 0.91990 0.91834 0.92058 0.92181 0.91115 0.91762 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 -1.72 10.28 37.16 0.38 -1.34 16 2 C 0.05 0.78 6.44 37.16 0.24 1.02 16 3 O -0.35 -5.66 7.69 -55.09 -0.42 -6.08 16 4 C 0.08 1.32 2.26 -27.89 -0.06 1.25 16 5 H 0.09 1.39 7.77 -51.92 -0.40 0.98 16 6 C 0.49 9.22 6.70 -10.99 -0.07 9.15 16 7 O -0.55 -11.90 16.51 -14.30 -0.24 -12.14 16 8 N -0.69 -12.89 3.72 -60.29 -0.22 -13.12 16 9 C 0.14 2.52 4.45 -4.04 -0.02 2.51 16 10 C 0.13 2.41 3.21 -67.42 -0.22 2.19 16 11 H 0.04 0.82 8.14 -51.93 -0.42 0.40 16 12 C 0.06 0.98 6.29 37.31 0.23 1.22 16 13 O -0.39 -7.55 10.74 -35.23 -0.38 -7.93 16 14 C 0.03 0.66 6.99 37.31 0.26 0.92 16 15 C 0.14 3.21 5.37 -3.53 -0.02 3.19 16 16 N -0.59 -13.28 3.03 -164.30 -0.50 -13.77 16 17 C -0.25 -6.11 7.01 -15.06 -0.11 -6.22 16 18 H 0.07 1.78 5.84 -52.48 -0.31 1.47 16 19 C 0.01 0.25 5.07 -17.43 -0.09 0.16 16 20 N -0.90 -23.51 11.15 55.49 0.62 -22.90 16 21 Si 0.89 20.10 29.57 -169.99 -5.03 15.07 16 22 H -0.29 -6.58 7.11 56.52 0.40 -6.18 16 23 H -0.29 -6.55 7.11 56.52 0.40 -6.14 16 24 H -0.28 -6.17 7.11 56.52 0.40 -5.76 16 25 C -0.08 -1.17 2.71 -88.96 -0.24 -1.41 16 26 C -0.11 -1.53 5.83 -24.55 -0.14 -1.67 16 27 C -0.12 -1.37 6.84 -24.89 -0.17 -1.54 16 28 C -0.12 -1.28 6.80 -25.61 -0.17 -1.45 16 29 C -0.12 -1.42 6.29 -25.61 -0.16 -1.58 16 30 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 31 H 0.07 0.67 8.14 -51.93 -0.42 0.24 16 32 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 33 H 0.05 0.82 8.14 -51.93 -0.42 0.40 16 34 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 35 H 0.41 7.99 7.07 -40.82 -0.29 7.70 16 36 H 0.06 1.30 7.58 -51.93 -0.39 0.91 16 37 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 38 H 0.05 0.81 8.14 -51.93 -0.42 0.39 16 39 H 0.08 1.23 8.14 -51.93 -0.42 0.80 16 40 H 0.08 1.33 8.14 -51.93 -0.42 0.91 16 41 H 0.04 0.76 8.14 -51.93 -0.42 0.34 16 42 H 0.03 0.71 8.14 -51.93 -0.42 0.28 16 43 H 0.09 2.24 6.36 -51.93 -0.33 1.91 16 44 H 0.26 6.59 8.31 -40.82 -0.34 6.25 16 45 H 0.09 1.26 7.91 -51.93 -0.41 0.85 16 46 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 47 H 0.08 1.21 7.19 -51.93 -0.37 0.83 16 48 H 0.06 0.63 8.14 -51.93 -0.42 0.20 16 49 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 50 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 52 H 0.07 0.88 7.27 -51.93 -0.38 0.50 16 53 H 0.06 0.74 8.14 -51.93 -0.42 0.32 16 LS Contribution 408.09 15.07 6.15 6.15 Total: -1.00 -28.27 408.09 -10.00 -38.27 By element: Atomic # 1 Polarization: 19.66 SS G_CDS: -9.63 Total: 10.03 kcal Atomic # 6 Polarization: 6.77 SS G_CDS: -0.36 Total: 6.41 kcal Atomic # 7 Polarization: -49.69 SS G_CDS: -0.10 Total: -49.79 kcal Atomic # 8 Polarization: -25.11 SS G_CDS: -1.04 Total: -26.15 kcal Atomic # 14 Polarization: 20.10 SS G_CDS: -5.03 Total: 15.07 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -28.27 -10.00 -38.27 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. ZINC001724772826.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 -78.064 kcal (2) G-P(sol) polarization free energy of solvation -28.272 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.336 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.002 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.274 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.338 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds