Wall clock time and date at job start Tue Mar 31 2020 23:25:35 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 O 1.45197 * 1 3 3 C 1.34230 * 117.00055 * 2 1 4 4 O 1.20824 * 119.99705 * 0.02562 * 3 2 1 5 5 C 1.50698 * 119.99918 * 179.97438 * 3 2 1 6 6 C 1.53002 * 109.46925 * 180.02562 * 5 3 2 7 7 N 1.46497 * 109.47067 * 179.97438 * 6 5 3 8 8 C 1.36935 * 120.00485 * 269.99981 * 7 6 5 9 9 H 1.08003 * 120.00228 * 128.99497 * 8 7 6 10 10 C 1.38814 * 120.00033 * 309.00477 * 8 7 6 11 11 N 1.31618 * 120.00638 * 182.82961 * 10 8 7 12 12 Si 1.86808 * 119.99587 * 2.82120 * 10 8 7 13 13 H 1.48498 * 109.46673 * 94.34895 * 12 10 8 14 14 H 1.48499 * 109.47147 * 214.34551 * 12 10 8 15 15 H 1.48489 * 109.47187 * 334.34800 * 12 10 8 16 16 C 1.46503 * 120.00089 * 89.99781 * 7 6 5 17 17 H 1.09000 * 109.46990 * 5.43847 * 16 7 6 18 18 C 1.53001 * 109.46877 * 125.43154 * 16 7 6 19 19 C 1.50699 * 109.47332 * 245.43614 * 16 7 6 20 20 O 1.21274 * 120.00063 * 4.85317 * 19 16 7 21 21 N 1.34776 * 119.99720 * 184.85974 * 19 16 7 22 22 C 1.46927 * 120.63200 * 336.43351 * 21 19 16 23 23 H 1.08992 * 109.58428 * 113.82646 * 22 21 19 24 24 C 1.52995 * 109.58611 * 353.39947 * 22 21 19 25 25 C 1.53193 * 108.77547 * 233.61532 * 22 21 19 26 26 C 1.53045 * 109.31078 * 305.36323 * 25 22 21 27 27 C 1.53046 * 109.53877 * 61.36778 * 26 25 22 28 28 C 1.46928 * 120.62710 * 156.44126 * 21 19 16 29 29 H 1.09002 * 109.58612 * 246.17273 * 28 21 19 30 30 C 1.52995 * 109.58852 * 6.59730 * 28 21 19 31 31 H 1.08993 * 109.47367 * 299.99722 * 1 2 3 32 32 H 1.09002 * 109.47419 * 59.99635 * 1 2 3 33 33 H 1.08997 * 109.47281 * 179.97438 * 1 2 3 34 34 H 1.08997 * 109.47082 * 60.00246 * 5 3 2 35 35 H 1.09001 * 109.47047 * 299.99992 * 5 3 2 36 36 H 1.08997 * 109.47374 * 60.00016 * 6 5 3 37 37 H 1.08994 * 109.47107 * 299.99954 * 6 5 3 38 38 H 0.96995 * 120.00372 * 179.97438 * 11 10 8 39 39 H 1.08999 * 109.47153 * 281.15911 * 18 16 7 40 40 H 1.08997 * 109.47011 * 41.16662 * 18 16 7 41 41 H 1.09010 * 109.46975 * 161.16666 * 18 16 7 42 42 H 1.08997 * 109.47574 * 310.33809 * 24 22 21 43 43 H 1.09000 * 109.47265 * 70.33556 * 24 22 21 44 44 H 1.09003 * 109.47343 * 190.33423 * 24 22 21 45 45 H 1.08997 * 109.49559 * 185.41559 * 25 22 21 46 46 H 1.08994 * 109.49845 * 65.31407 * 25 22 21 47 47 H 1.08997 * 109.46240 * 301.34580 * 26 25 22 48 48 H 1.09005 * 109.46085 * 181.38836 * 26 25 22 49 49 H 1.08996 * 109.49594 * 58.58179 * 27 26 25 50 50 H 1.08997 * 109.49773 * 178.68426 * 27 26 25 51 51 H 1.08998 * 109.47185 * 184.07554 * 30 28 21 52 52 H 1.08994 * 109.47365 * 304.07427 * 30 28 21 53 53 H 1.08997 * 109.47038 * 64.08164 * 30 28 21 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 8 1.4520 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4033 2.2093 0.0005 5 6 3.5663 1.2748 0.0006 6 6 4.0001 2.7421 0.0011 7 7 5.4631 2.8187 0.0023 8 6 6.1459 2.8544 1.1887 9 1 6.9625 2.1693 1.3626 10 6 5.7885 3.7711 2.1679 11 7 6.4798 3.8434 3.2856 12 14 4.3265 4.9024 1.8992 13 1 3.1138 4.2963 2.5051 14 1 4.5939 6.2168 2.5364 15 1 4.1095 5.0934 0.4427 16 6 6.1956 2.8572 -1.2659 17 1 5.4878 2.9176 -2.0926 18 6 7.1120 4.0822 -1.2885 19 6 7.0250 1.6067 -1.4050 20 8 6.9394 0.7268 -0.5749 21 7 7.8619 1.4663 -2.4521 22 6 7.6352 2.2128 -3.6971 23 1 8.4434 2.9287 -3.8461 24 6 6.2988 2.9532 -3.6150 25 6 7.6032 1.2236 -4.8663 26 6 8.8862 0.3892 -4.8586 27 6 8.9709 -0.4072 -3.5543 28 6 9.0183 0.5636 -2.3702 29 1 9.9394 1.1450 -2.4111 30 6 8.9629 -0.2234 -1.0593 31 1 -0.3634 0.5137 0.8899 32 1 -0.3634 0.5139 -0.8899 33 1 -0.3634 -1.0276 -0.0005 34 1 3.9563 0.7806 -0.8891 35 1 3.9556 0.7809 0.8908 36 1 3.6101 3.2360 0.8910 37 1 3.6107 3.2364 -0.8889 38 1 6.2303 4.4842 3.9697 39 1 6.5255 4.9704 -1.5236 40 1 7.5800 4.2039 -0.3117 41 1 7.8833 3.9450 -2.0465 42 1 5.5201 2.2626 -3.2915 43 1 6.3798 3.7708 -2.8987 44 1 6.0445 3.3538 -4.5963 45 1 7.5319 1.7724 -5.8053 46 1 6.7406 0.5655 -4.7626 47 1 9.7495 1.0498 -4.9374 48 1 8.8771 -0.2987 -5.7041 49 1 8.0954 -1.0499 -3.4630 50 1 9.8730 -1.0189 -3.5596 51 1 9.8579 -0.8387 -0.9668 52 1 8.9111 0.4709 -0.2207 53 1 8.0804 -0.8631 -1.0566 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 ZINC000879476115.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 23:25:35 Heat of formation + Delta-G solvation = -31.596570 kcal Electronic energy + Delta-G solvation = -33197.580696 eV Core-core repulsion = 29073.248307 eV Total energy + Delta-G solvation = -4124.332389 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.23 seconds Orbital eigenvalues (eV) -40.69063 -40.07757 -37.41444 -36.47221 -36.04593 -34.46994 -32.54789 -31.86687 -31.43234 -29.33165 -28.51071 -27.37382 -26.04574 -24.85913 -24.07858 -23.32437 -21.45270 -21.28097 -20.46733 -19.97267 -18.75760 -17.35186 -16.71158 -16.32801 -16.22236 -15.84486 -15.61950 -15.18813 -15.13763 -14.79620 -14.10529 -14.02914 -13.89969 -13.72129 -13.42565 -13.02595 -12.80944 -12.67025 -12.59806 -12.46387 -12.39367 -12.04963 -11.90163 -11.72731 -11.63280 -11.56373 -11.39861 -11.32101 -11.04157 -10.91078 -10.87510 -10.77959 -10.60400 -10.50175 -10.39878 -10.29479 -10.11382 -9.83676 -9.51583 -9.38848 -8.63750 -8.41808 -8.02585 -6.68590 -5.90101 -3.58816 2.58815 3.05183 3.32249 3.39209 3.40039 3.50833 3.52534 4.53202 4.67882 4.72276 4.82073 4.89695 5.00919 5.17854 5.18925 5.24792 5.25940 5.27057 5.35807 5.37012 5.44919 5.55891 5.59619 5.65701 5.68675 5.71996 5.79702 5.82964 5.84842 5.88915 5.96684 5.99534 6.03288 6.08146 6.12502 6.16811 6.20342 6.29122 6.36378 6.48591 6.53680 6.55000 6.61982 6.78021 6.82310 7.12692 7.16044 7.98491 8.09109 8.17532 8.51331 9.00441 9.02396 9.71408 10.11384 11.19910 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009841 B = 0.004778 C = 0.003868 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2844.691487 B = 5858.688054 C = 7237.321792 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.365 6.365 3 C 0.461 3.539 4 O -0.516 6.516 5 C -0.130 4.130 6 C 0.155 3.845 7 N -0.580 5.580 8 C -0.264 4.264 9 H 0.084 0.916 10 C 0.044 3.956 11 N -0.904 5.904 12 Si 0.889 3.111 13 H -0.286 1.286 14 H -0.305 1.305 15 H -0.264 1.264 16 C 0.118 3.882 17 H 0.116 0.884 18 C -0.158 4.158 19 C 0.505 3.495 20 O -0.499 6.499 21 N -0.629 5.629 22 C 0.151 3.849 23 H 0.069 0.931 24 C -0.211 4.211 25 C -0.129 4.129 26 C -0.118 4.118 27 C -0.130 4.130 28 C 0.149 3.851 29 H 0.062 0.938 30 C -0.140 4.140 31 H 0.059 0.941 32 H 0.058 0.942 33 H 0.095 0.905 34 H 0.095 0.905 35 H 0.113 0.887 36 H 0.056 0.944 37 H 0.049 0.951 38 H 0.263 0.737 39 H 0.055 0.945 40 H 0.084 0.916 41 H 0.051 0.949 42 H 0.070 0.930 43 H 0.112 0.888 44 H 0.063 0.937 45 H 0.069 0.931 46 H 0.065 0.935 47 H 0.061 0.939 48 H 0.060 0.940 49 H 0.065 0.935 50 H 0.066 0.934 51 H 0.038 0.962 52 H 0.072 0.928 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.110 -5.622 -17.198 18.094 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 -0.060 4.060 2 O -0.282 6.282 3 C 0.304 3.696 4 O -0.404 6.404 5 C -0.170 4.170 6 C 0.029 3.971 7 N -0.300 5.300 8 C -0.394 4.394 9 H 0.102 0.898 10 C -0.158 4.158 11 N -0.544 5.544 12 Si 0.720 3.280 13 H -0.213 1.213 14 H -0.233 1.233 15 H -0.189 1.189 16 C 0.008 3.992 17 H 0.133 0.867 18 C -0.216 4.216 19 C 0.292 3.708 20 O -0.371 6.371 21 N -0.369 5.369 22 C 0.047 3.953 23 H 0.087 0.913 24 C -0.266 4.266 25 C -0.168 4.168 26 C -0.156 4.156 27 C -0.169 4.169 28 C 0.045 3.955 29 H 0.080 0.920 30 C -0.197 4.197 31 H 0.078 0.922 32 H 0.077 0.923 33 H 0.114 0.886 34 H 0.113 0.887 35 H 0.131 0.869 36 H 0.074 0.926 37 H 0.068 0.932 38 H 0.073 0.927 39 H 0.074 0.926 40 H 0.103 0.897 41 H 0.070 0.930 42 H 0.089 0.911 43 H 0.130 0.870 44 H 0.081 0.919 45 H 0.088 0.912 46 H 0.084 0.916 47 H 0.080 0.920 48 H 0.078 0.922 49 H 0.084 0.916 50 H 0.085 0.915 51 H 0.056 0.944 52 H 0.091 0.909 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -0.382 -5.703 -16.502 17.464 hybrid contribution -0.988 0.472 0.008 1.095 sum -1.371 -5.231 -16.494 17.358 Atomic orbital electron populations 1.23168 0.77575 1.03059 1.02219 1.86584 1.22626 1.34535 1.84413 1.24583 0.92882 0.80811 0.71282 1.90620 1.67535 1.36389 1.45867 1.22385 0.84375 1.04311 1.05977 1.21178 0.85399 0.90448 1.00082 1.44014 0.99513 1.84557 1.01953 1.18763 1.15368 1.14171 0.91053 0.89826 1.25689 0.97376 0.96032 0.96680 1.69773 1.39651 1.37290 1.07698 0.86793 0.82752 0.79882 0.78568 1.21333 1.23333 1.18861 1.22124 0.94908 0.91138 0.91045 0.86688 1.22136 0.99056 0.96903 1.03480 1.22194 0.79736 0.89246 0.79647 1.90655 1.63244 1.41032 1.42169 1.48384 1.28499 1.45826 1.14152 1.20936 0.97708 0.92616 0.84038 0.91315 1.23622 0.96293 1.02842 1.03887 1.21981 0.98493 0.98399 0.97886 1.21502 0.97827 0.98722 0.97501 1.22011 1.02177 0.98108 0.94602 1.21088 0.88258 0.90405 0.95727 0.92023 1.22171 1.00808 1.00629 0.96099 0.92179 0.92300 0.88621 0.88687 0.86923 0.92612 0.93243 0.92729 0.92597 0.89732 0.93030 0.91126 0.87017 0.91855 0.91206 0.91612 0.92009 0.92156 0.91625 0.91505 0.94358 0.90928 0.90787 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 0.03 0.41 10.56 101.05 1.07 1.48 16 2 O -0.36 -5.94 10.57 -39.26 -0.41 -6.35 16 3 C 0.46 8.58 7.96 36.00 0.29 8.87 16 4 O -0.52 -10.71 15.73 -18.75 -0.29 -11.01 16 5 C -0.13 -2.51 6.14 -27.88 -0.17 -2.68 16 6 C 0.15 3.34 3.19 -4.04 -0.01 3.32 16 7 N -0.58 -13.06 1.69 -166.98 -0.28 -13.35 16 8 C -0.26 -7.15 7.86 -15.06 -0.12 -7.26 16 9 H 0.08 2.58 7.21 -52.48 -0.38 2.20 16 10 C 0.04 1.23 5.50 -17.43 -0.10 1.14 16 11 N -0.90 -27.43 13.97 55.49 0.78 -26.66 16 12 Si 0.89 22.62 24.74 -169.99 -4.21 18.42 16 13 H -0.29 -7.47 7.08 56.52 0.40 -7.07 16 14 H -0.30 -7.88 7.11 56.52 0.40 -7.48 16 15 H -0.26 -6.33 6.29 56.52 0.36 -5.98 16 16 C 0.12 2.16 2.17 -69.08 -0.15 2.01 16 17 H 0.12 1.83 3.32 -66.44 -0.22 1.61 16 18 C -0.16 -2.73 7.61 37.16 0.28 -2.45 16 19 C 0.50 9.33 5.97 -10.99 -0.07 9.26 16 20 O -0.50 -10.97 11.12 5.56 0.06 -10.91 16 21 N -0.63 -9.21 2.72 -157.74 -0.43 -9.64 16 22 C 0.15 1.71 2.41 -67.60 -0.16 1.55 16 23 H 0.07 0.72 7.78 -51.93 -0.40 0.32 16 24 C -0.21 -2.34 6.92 37.15 0.26 -2.08 16 25 C -0.13 -1.23 5.36 -26.61 -0.14 -1.38 16 26 C -0.12 -1.08 5.88 -26.68 -0.16 -1.24 16 27 C -0.13 -1.43 5.37 -26.61 -0.14 -1.58 16 28 C 0.15 2.03 3.49 -67.60 -0.24 1.79 16 29 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 30 C -0.14 -2.24 7.64 37.15 0.28 -1.95 16 31 H 0.06 0.74 8.13 -51.93 -0.42 0.32 16 32 H 0.06 0.68 8.13 -51.93 -0.42 0.26 16 33 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 34 H 0.09 1.69 8.14 -51.93 -0.42 1.27 16 35 H 0.11 2.35 8.14 -51.93 -0.42 1.93 16 36 H 0.06 1.36 3.23 -51.93 -0.17 1.19 16 37 H 0.05 0.98 7.84 -51.93 -0.41 0.57 16 38 H 0.26 7.61 8.31 -40.82 -0.34 7.28 16 39 H 0.06 0.90 7.85 -51.93 -0.41 0.49 16 40 H 0.08 1.80 6.95 -51.93 -0.36 1.44 16 41 H 0.05 0.75 5.58 -51.92 -0.29 0.46 16 42 H 0.07 0.87 6.12 -51.93 -0.32 0.55 16 43 H 0.11 1.38 2.85 -52.55 -0.15 1.23 16 44 H 0.06 0.55 8.12 -51.93 -0.42 0.13 16 45 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 46 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 47 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 48 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 49 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 50 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 51 H 0.04 0.52 8.14 -51.93 -0.42 0.10 16 52 H 0.07 1.42 6.73 -51.93 -0.35 1.07 16 53 H 0.07 1.31 6.86 -51.93 -0.36 0.95 16 LS Contribution 389.60 15.07 5.87 5.87 Total: -1.00 -32.91 389.60 -7.11 -40.02 By element: Atomic # 1 Polarization: 13.71 SS G_CDS: -8.91 Total: 4.80 kcal Atomic # 6 Polarization: 8.09 SS G_CDS: 0.72 Total: 8.81 kcal Atomic # 7 Polarization: -49.71 SS G_CDS: 0.06 Total: -49.65 kcal Atomic # 8 Polarization: -27.62 SS G_CDS: -0.65 Total: -28.26 kcal Atomic # 14 Polarization: 22.62 SS G_CDS: -4.21 Total: 18.42 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -32.91 -7.11 -40.02 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. ZINC000879476115.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 8.420 kcal (2) G-P(sol) polarization free energy of solvation -32.912 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -24.491 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.105 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.017 kcal (6) G-S(sol) free energy of system = (1) + (5) -31.597 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds