Wall clock time and date at job start Tue Mar 31 2020 19:54:23 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 1.52990 * 1 3 3 C 1.53004 * 109.47318 * 2 1 4 4 C 1.53003 * 109.47377 * 239.99909 * 2 1 3 5 5 C 1.50702 * 109.47207 * 119.99715 * 2 1 3 6 6 O 1.20782 * 119.99709 * 0.02562 * 5 2 1 7 7 C 1.49086 * 120.00125 * 179.97438 * 5 2 1 8 8 O 1.21368 * 119.99996 * 8.83962 * 7 5 2 9 9 N 1.34781 * 120.00334 * 188.84355 * 7 5 2 10 10 C 1.46928 * 120.62457 * 8.01350 * 9 7 5 11 11 C 1.53189 * 108.77536 * 233.58543 * 10 9 7 12 12 C 1.53041 * 109.31656 * 305.37362 * 11 10 9 13 13 C 1.53040 * 109.54062 * 61.36031 * 12 11 10 14 14 C 1.46920 * 120.63119 * 187.99697 * 9 7 5 15 15 H 1.09004 * 109.58325 * 246.33765 * 14 9 7 16 16 C 1.52996 * 109.59139 * 6.62427 * 14 9 7 17 17 H 1.09005 * 110.63847 * 303.28995 * 16 14 9 18 18 C 1.55155 * 110.72202 * 66.43001 * 16 14 9 19 19 C 1.54904 * 101.58265 * 154.04685 * 18 16 14 20 20 N 1.47424 * 104.83132 * 322.98993 * 19 18 16 21 21 C 1.36941 * 125.64818 * 204.09303 * 20 19 18 22 22 H 1.08002 * 119.99909 * 184.35887 * 21 20 19 23 23 C 1.38804 * 119.99909 * 4.35115 * 21 20 19 24 24 N 1.31626 * 119.99813 * 145.79216 * 23 21 20 25 25 Si 1.86798 * 120.00413 * 325.79060 * 23 21 20 26 26 H 1.48500 * 109.46840 * 89.99745 * 25 23 21 27 27 H 1.48502 * 109.47184 * 330.00298 * 25 23 21 28 28 H 1.48494 * 109.47239 * 210.00186 * 25 23 21 29 29 C 1.47017 * 108.70212 * 24.35826 * 20 19 18 30 30 H 1.09003 * 109.47369 * 300.00269 * 1 2 3 31 31 H 1.09000 * 109.47268 * 60.00225 * 1 2 3 32 32 H 1.09000 * 109.47170 * 180.02562 * 1 2 3 33 33 H 1.09002 * 109.46868 * 180.02562 * 3 2 1 34 34 H 1.09000 * 109.46627 * 299.99546 * 3 2 1 35 35 H 1.08994 * 109.47170 * 59.99763 * 3 2 1 36 36 H 1.09000 * 109.46906 * 300.00083 * 4 2 1 37 37 H 1.09000 * 109.47031 * 59.99721 * 4 2 1 38 38 H 1.08996 * 109.47313 * 180.02562 * 4 2 1 39 39 H 1.08996 * 109.59142 * 353.38027 * 10 9 7 40 40 H 1.09002 * 109.58329 * 113.80194 * 10 9 7 41 41 H 1.09001 * 109.49494 * 65.32341 * 11 10 9 42 42 H 1.09004 * 109.49841 * 185.38301 * 11 10 9 43 43 H 1.08996 * 109.46064 * 181.38440 * 12 11 10 44 44 H 1.09000 * 109.45703 * 301.33843 * 12 11 10 45 45 H 1.08989 * 109.49631 * 178.68591 * 13 12 11 46 46 H 1.08999 * 109.49500 * 58.58734 * 13 12 11 47 47 H 1.09000 * 111.00159 * 35.97003 * 18 16 14 48 48 H 1.09001 * 111.00156 * 272.12286 * 18 16 14 49 49 H 1.09002 * 110.36675 * 204.15543 * 19 18 16 50 50 H 1.08995 * 110.46155 * 81.87719 * 19 18 16 51 51 H 0.96997 * 119.99647 * 5.00071 * 24 23 21 52 52 H 1.09008 * 109.88371 * 118.12794 * 29 20 19 53 53 H 1.09006 * 109.88273 * 239.29306 * 29 20 19 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 1.4425 0.0000 4 6 2.0400 -0.7213 -1.2492 5 6 2.0323 -0.7104 1.2305 6 8 1.2474 -1.1697 2.0253 7 6 3.4980 -0.8471 1.4662 8 8 4.2845 -0.2525 0.7584 9 7 3.9498 -1.6310 2.4651 10 6 3.0265 -2.4917 3.2171 11 6 3.1871 -2.1994 4.7123 12 6 4.6576 -2.3609 5.1045 13 6 5.5091 -1.3584 4.3222 14 6 5.3748 -1.6412 2.8226 15 1 5.8021 -2.6174 2.5930 16 6 6.1106 -0.5598 2.0289 17 1 5.9671 -0.7045 0.9581 18 6 5.6389 0.8541 2.4598 19 6 6.8779 1.7154 2.1098 20 7 8.0350 0.8620 2.4355 21 6 9.2945 1.3064 2.7377 22 1 10.0943 0.5976 2.8940 23 6 9.5434 2.6679 2.8429 24 7 10.4231 3.1105 3.7163 25 14 8.6301 3.8721 1.7451 26 1 7.3771 4.3015 2.4165 27 1 8.3000 3.2139 0.4555 28 1 9.4869 5.0579 1.4907 29 6 7.6143 -0.5454 2.3760 30 1 -0.3634 0.5139 0.8900 31 1 -0.3634 0.5138 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 3.1300 1.4424 -0.0005 34 1 1.6767 1.9563 -0.8901 35 1 1.6766 1.9564 0.8899 36 1 1.6766 -1.7489 -1.2492 37 1 1.6766 -0.2075 -2.1392 38 1 3.1299 -0.7217 -1.2490 39 1 2.0013 -2.2825 2.9119 40 1 3.2617 -3.5380 3.0220 41 1 2.8651 -1.1790 4.9201 42 1 2.5780 -2.8973 5.2869 43 1 4.7706 -2.1775 6.1730 44 1 4.9858 -3.3744 4.8736 45 1 6.5530 -1.4581 4.6192 46 1 5.1652 -0.3460 4.5337 47 1 5.4295 0.8871 3.5290 48 1 4.7690 1.1683 1.8830 49 1 6.8929 2.6220 2.7149 50 1 6.8792 1.9679 1.0495 51 1 10.9497 2.4825 4.2350 52 1 8.1797 -1.0691 1.6051 53 1 7.7740 -1.0213 3.3436 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 ZINC001039195654.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 19:54:23 Heat of formation + Delta-G solvation = -2.455004 kcal Electronic energy + Delta-G solvation = -32433.858009 eV Core-core repulsion = 28501.245345 eV Total energy + Delta-G solvation = -3932.612664 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.06 seconds Orbital eigenvalues (eV) -41.61676 -39.72468 -37.78049 -37.06582 -35.97736 -33.09751 -32.84591 -31.33922 -29.03698 -28.03892 -27.71903 -27.52335 -26.53350 -24.47777 -24.14363 -23.03603 -21.58155 -21.07939 -19.91331 -19.34610 -18.62319 -17.38076 -16.94174 -16.49517 -16.08483 -15.58743 -15.40744 -15.06617 -14.83052 -14.55957 -14.40263 -14.07148 -13.84389 -13.61155 -13.39754 -13.31725 -13.08627 -12.78750 -12.67391 -12.47474 -12.41041 -12.32910 -12.10716 -11.98234 -11.84082 -11.33838 -11.27919 -11.25151 -11.21702 -10.99997 -10.72020 -10.70085 -10.58961 -10.46728 -10.22565 -9.92866 -9.67570 -9.56251 -9.17135 -8.60234 -8.52322 -8.18648 -6.91110 -6.30156 -2.98676 0.77669 2.52954 2.86715 3.49597 3.61990 3.73311 3.77299 4.22238 4.55876 4.58432 4.69449 4.69832 4.79735 4.83271 4.97616 5.00718 5.12751 5.22612 5.28464 5.30325 5.33780 5.38617 5.50031 5.53203 5.56739 5.57784 5.63324 5.65015 5.70254 5.76755 5.78662 5.82400 5.83943 5.87774 5.98064 6.01339 6.05646 6.11802 6.13397 6.30219 6.32318 6.48177 6.53877 6.64624 6.69530 6.82642 6.86593 7.01999 7.11730 7.26164 7.86967 7.93676 8.44637 9.15571 9.75737 10.44582 11.21724 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012591 B = 0.004415 C = 0.003537 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2223.318338 B = 6339.872748 C = 7914.343701 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.136 4.136 2 C -0.095 4.095 3 C -0.148 4.148 4 C -0.142 4.142 5 C 0.364 3.636 6 O -0.416 6.416 7 C 0.468 3.532 8 O -0.477 6.477 9 N -0.578 5.578 10 C 0.057 3.943 11 C -0.129 4.129 12 C -0.121 4.121 13 C -0.137 4.137 14 C 0.156 3.844 15 H 0.074 0.926 16 C -0.104 4.104 17 H 0.115 0.885 18 C -0.125 4.125 19 C 0.108 3.892 20 N -0.607 5.607 21 C -0.335 4.335 22 H 0.076 0.924 23 C -0.019 4.019 24 N -0.912 5.912 25 Si 1.057 2.943 26 H -0.296 1.296 27 H -0.288 1.288 28 H -0.301 1.301 29 C 0.140 3.860 30 H 0.061 0.939 31 H 0.066 0.934 32 H 0.060 0.940 33 H 0.088 0.912 34 H 0.069 0.931 35 H 0.056 0.944 36 H 0.054 0.946 37 H 0.071 0.929 38 H 0.078 0.922 39 H 0.138 0.862 40 H 0.062 0.938 41 H 0.065 0.935 42 H 0.072 0.928 43 H 0.064 0.936 44 H 0.061 0.939 45 H 0.084 0.916 46 H 0.076 0.924 47 H 0.061 0.939 48 H 0.076 0.924 49 H 0.054 0.946 50 H 0.026 0.974 51 H 0.262 0.738 52 H 0.019 0.981 53 H 0.027 0.973 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -22.470 -12.024 -4.710 25.917 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 -0.193 4.193 2 C -0.096 4.096 3 C -0.205 4.205 4 C -0.199 4.199 5 C 0.236 3.764 6 O -0.287 6.287 7 C 0.253 3.747 8 O -0.353 6.353 9 N -0.312 5.312 10 C -0.064 4.064 11 C -0.167 4.167 12 C -0.159 4.159 13 C -0.175 4.175 14 C 0.053 3.947 15 H 0.092 0.908 16 C -0.123 4.123 17 H 0.133 0.867 18 C -0.162 4.162 19 C -0.017 4.017 20 N -0.334 5.334 21 C -0.462 4.462 22 H 0.093 0.907 23 C -0.220 4.220 24 N -0.553 5.553 25 Si 0.890 3.110 26 H -0.224 1.224 27 H -0.215 1.215 28 H -0.229 1.229 29 C 0.014 3.986 30 H 0.080 0.920 31 H 0.085 0.915 32 H 0.079 0.921 33 H 0.107 0.893 34 H 0.088 0.912 35 H 0.075 0.925 36 H 0.073 0.927 37 H 0.090 0.910 38 H 0.097 0.903 39 H 0.154 0.846 40 H 0.081 0.919 41 H 0.084 0.916 42 H 0.090 0.910 43 H 0.083 0.917 44 H 0.080 0.920 45 H 0.103 0.897 46 H 0.095 0.905 47 H 0.079 0.921 48 H 0.094 0.906 49 H 0.072 0.928 50 H 0.043 0.957 51 H 0.073 0.927 52 H 0.037 0.963 53 H 0.045 0.955 Dipole moment (debyes) X Y Z Total from point charges -22.557 -10.341 -4.952 25.303 hybrid contribution 0.409 -1.773 0.449 1.875 sum -22.147 -12.115 -4.503 25.642 Atomic orbital electron populations 1.21785 0.92304 1.02621 1.02588 1.20971 0.97238 0.97757 0.93645 1.21975 1.04107 0.91954 1.02441 1.21884 1.03194 0.99532 0.95322 1.25273 0.89309 0.75416 0.86399 1.90035 1.59125 1.36310 1.43224 1.20649 0.90142 0.81471 0.82464 1.90740 1.54852 1.44463 1.45247 1.48191 1.09277 1.41070 1.32659 1.22972 0.97662 0.93701 0.92096 1.21837 0.97094 1.02392 0.95381 1.21571 0.94774 0.99488 1.00077 1.22142 1.01360 1.00254 0.93735 1.21363 0.78711 0.99710 0.94882 0.90783 1.22831 0.94233 0.93534 1.01693 0.86705 1.23141 0.98244 0.94998 0.99858 1.21900 0.87181 0.95058 0.97599 1.44796 1.06516 0.99710 1.82418 1.19915 0.86037 0.93244 1.46997 0.90652 1.25603 1.01688 0.95439 0.99226 1.70933 1.28194 1.36759 1.19382 0.83970 0.74400 0.75602 0.76996 1.22426 1.21473 1.22918 1.21391 0.91846 0.87789 0.97595 0.91981 0.91466 0.92115 0.89311 0.91249 0.92538 0.92661 0.91049 0.90271 0.84550 0.91934 0.91605 0.90983 0.91711 0.92045 0.89730 0.90515 0.92102 0.90606 0.92776 0.95675 0.92739 0.96331 0.95548 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.05 7.76 37.15 0.29 -0.76 16 2 C -0.09 -0.87 0.77 -155.66 -0.12 -0.99 16 3 C -0.15 -1.42 8.29 37.16 0.31 -1.11 16 4 C -0.14 -1.19 8.29 37.16 0.31 -0.89 16 5 C 0.36 4.01 5.90 -29.81 -0.18 3.84 16 6 O -0.42 -4.73 12.78 5.98 0.08 -4.65 16 7 C 0.47 6.05 6.42 -11.75 -0.08 5.98 16 8 O -0.48 -7.08 7.17 5.48 0.04 -7.04 16 9 N -0.58 -7.22 2.95 -165.87 -0.49 -7.71 16 10 C 0.06 0.59 6.24 -3.71 -0.02 0.56 16 11 C -0.13 -1.27 6.08 -26.61 -0.16 -1.43 16 12 C -0.12 -1.30 5.88 -26.69 -0.16 -1.46 16 13 C -0.14 -1.88 4.79 -26.61 -0.13 -2.01 16 14 C 0.16 2.18 2.76 -67.60 -0.19 1.99 16 15 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 16 C -0.10 -1.82 2.05 -88.78 -0.18 -2.01 16 17 H 0.12 2.10 5.78 -52.61 -0.30 1.80 16 18 C -0.12 -2.36 5.38 -24.59 -0.13 -2.49 16 19 C 0.11 2.54 4.77 -2.53 -0.01 2.53 16 20 N -0.61 -15.76 3.37 -170.07 -0.57 -16.33 16 21 C -0.34 -9.99 10.38 -15.06 -0.16 -10.15 16 22 H 0.08 2.35 8.06 -52.49 -0.42 1.93 16 23 C -0.02 -0.57 5.40 -17.43 -0.09 -0.66 16 24 N -0.91 -29.22 13.70 55.49 0.76 -28.46 16 25 Si 1.06 27.88 24.85 -169.99 -4.22 23.66 16 26 H -0.30 -7.42 6.32 56.52 0.36 -7.07 16 27 H -0.29 -7.34 6.40 56.52 0.36 -6.97 16 28 H -0.30 -7.94 7.11 56.52 0.40 -7.54 16 29 C 0.14 2.98 6.67 -3.06 -0.02 2.96 16 30 H 0.06 0.51 8.10 -51.93 -0.42 0.09 16 31 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.06 0.46 8.10 -51.93 -0.42 0.04 16 33 H 0.09 1.04 6.17 -51.93 -0.32 0.72 16 34 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 35 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 36 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 37 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 38 H 0.08 0.80 6.73 -51.93 -0.35 0.45 16 39 H 0.14 1.43 3.88 -56.34 -0.22 1.21 16 40 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 41 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 42 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 44 H 0.06 0.61 8.14 -51.93 -0.42 0.18 16 45 H 0.08 1.27 6.43 -51.94 -0.33 0.93 16 46 H 0.08 1.17 5.70 -51.93 -0.30 0.88 16 47 H 0.06 1.15 5.48 -51.93 -0.28 0.86 16 48 H 0.08 1.35 5.60 -51.93 -0.29 1.06 16 49 H 0.05 1.37 4.90 -51.93 -0.25 1.12 16 50 H 0.03 0.62 6.58 -51.93 -0.34 0.28 16 51 H 0.26 8.29 8.73 -40.82 -0.36 7.94 16 52 H 0.02 0.41 8.14 -51.92 -0.42 -0.02 16 53 H 0.03 0.55 5.97 -51.93 -0.31 0.24 16 LS Contribution 376.40 15.07 5.67 5.67 Total: -1.00 -32.78 376.40 -8.34 -41.11 By element: Atomic # 1 Polarization: 8.72 SS G_CDS: -8.88 Total: -0.16 kcal Atomic # 6 Polarization: -5.37 SS G_CDS: -0.72 Total: -6.09 kcal Atomic # 7 Polarization: -52.20 SS G_CDS: -0.30 Total: -52.50 kcal Atomic # 8 Polarization: -11.81 SS G_CDS: 0.12 Total: -11.69 kcal Atomic # 14 Polarization: 27.88 SS G_CDS: -4.22 Total: 23.66 kcal Total LS contribution 5.67 Total: 5.67 kcal Total: -32.78 -8.34 -41.11 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. ZINC001039195654.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 38.657 kcal (2) G-P(sol) polarization free energy of solvation -32.776 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 5.881 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.336 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.112 kcal (6) G-S(sol) free energy of system = (1) + (5) -2.455 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds