Wall clock time and date at job start Sat Apr 11 2020 06:10:51 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 1.52993 * 1 3 3 C 1.53005 * 109.47201 * 2 1 4 4 O 1.45207 * 109.47283 * 119.99805 * 2 1 3 5 5 C 1.34223 * 117.00030 * 149.99917 * 4 2 1 6 6 O 1.20832 * 120.00001 * 0.02562 * 5 4 2 7 7 C 1.50696 * 120.00228 * 180.02562 * 5 4 2 8 8 C 1.52995 * 109.47429 * 180.02562 * 7 5 4 9 9 C 1.52999 * 109.47309 * 180.02562 * 8 7 5 10 10 H 1.09006 * 109.47391 * 54.99515 * 9 8 7 11 11 C 1.52999 * 109.47488 * 175.00083 * 9 8 7 12 12 N 1.46506 * 109.47214 * 294.99859 * 9 8 7 13 13 C 1.34770 * 120.00206 * 154.99482 * 12 9 8 14 14 O 1.21581 * 120.00221 * 5.07564 * 13 12 9 15 15 N 1.34778 * 120.00085 * 185.06735 * 13 12 9 16 16 C 1.46928 * 120.62994 * 354.94984 * 15 13 12 17 17 C 1.53195 * 108.77950 * 126.41013 * 16 15 13 18 18 C 1.53047 * 109.30849 * 54.63307 * 17 16 15 19 19 C 1.53042 * 109.53787 * 298.63562 * 18 17 16 20 20 H 1.09003 * 109.49915 * 301.41658 * 19 18 17 21 21 C 1.50702 * 109.52201 * 181.33625 * 19 18 17 22 22 H 1.07998 * 119.99880 * 0.07978 * 21 19 18 23 23 C 1.37876 * 119.99985 * 180.08249 * 21 19 18 24 24 N 1.31512 * 119.99836 * 359.97438 * 23 21 19 25 25 Si 1.86796 * 119.99738 * 179.97438 * 23 21 19 26 26 H 1.48499 * 109.47271 * 90.00367 * 25 23 21 27 27 H 1.48508 * 109.46751 * 209.99972 * 25 23 21 28 28 H 1.48497 * 109.47316 * 329.99868 * 25 23 21 29 29 C 1.46929 * 120.63184 * 174.96835 * 15 13 12 30 30 H 1.08998 * 109.47536 * 299.99781 * 1 2 3 31 31 H 1.09001 * 109.47432 * 60.00628 * 1 2 3 32 32 H 1.09001 * 109.47027 * 180.02562 * 1 2 3 33 33 H 1.09007 * 109.47559 * 240.00062 * 2 1 3 34 34 H 1.09001 * 109.46415 * 299.99995 * 3 2 1 35 35 H 1.08998 * 109.46696 * 59.99705 * 3 2 1 36 36 H 1.08995 * 109.47244 * 180.02562 * 3 2 1 37 37 H 1.09001 * 109.46934 * 60.00011 * 7 5 4 38 38 H 1.09002 * 109.47293 * 300.00263 * 7 5 4 39 39 H 1.09001 * 109.47235 * 59.99973 * 8 7 5 40 40 H 1.08997 * 109.47376 * 299.99728 * 8 7 5 41 41 H 1.09000 * 109.46693 * 299.99624 * 11 9 8 42 42 H 1.08998 * 109.46985 * 59.99935 * 11 9 8 43 43 H 1.09004 * 109.47244 * 179.97438 * 11 9 8 44 44 H 0.97005 * 119.99639 * 335.00466 * 12 9 8 45 45 H 1.09005 * 109.58649 * 246.19748 * 16 15 13 46 46 H 1.09000 * 109.58835 * 6.62272 * 16 15 13 47 47 H 1.08996 * 109.49549 * 174.58648 * 17 16 15 48 48 H 1.08996 * 109.49409 * 294.68653 * 17 16 15 49 49 H 1.08995 * 109.45425 * 178.61594 * 18 17 16 50 50 H 1.08993 * 109.45687 * 58.65963 * 18 17 16 51 51 H 0.97004 * 119.99741 * 180.02562 * 24 23 21 52 52 H 1.09002 * 109.58284 * 113.80383 * 29 15 13 53 53 H 1.08998 * 109.70229 * 353.44503 * 29 15 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 8 2.0140 -0.6845 1.1856 5 6 3.1936 -1.3170 1.0852 6 8 3.8018 -1.2989 0.0413 7 6 3.7594 -2.0496 2.2743 8 6 5.1023 -2.6770 1.8951 9 6 5.6765 -3.4214 3.1023 10 1 4.9457 -4.1445 3.4645 11 6 6.9558 -4.1521 2.6897 12 7 5.9834 -2.4625 4.1665 13 6 6.0122 -2.8681 5.4514 14 8 5.8749 -4.0458 5.7203 15 7 6.1932 -1.9683 6.4383 16 6 6.4706 -0.5597 6.1255 17 6 5.4568 0.3187 6.8653 18 6 5.4949 -0.0127 8.3590 19 6 5.1075 -1.4785 8.5680 20 1 4.1109 -1.6528 8.1623 21 6 5.1133 -1.7957 10.0413 22 1 5.3666 -1.0284 10.7579 23 6 4.7952 -3.0655 10.4743 24 7 4.4863 -3.9996 9.6017 25 14 4.8031 -3.4588 12.3004 26 1 3.4567 -3.1964 12.8691 27 1 5.1536 -4.8884 12.4972 28 1 5.8054 -2.6044 12.9865 29 6 6.1174 -2.3772 7.8475 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5137 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 1.8934 -0.5138 -0.8900 34 1 1.6766 1.9563 -0.8900 35 1 1.6766 1.9563 0.8900 36 1 3.1299 1.4425 -0.0005 37 1 3.0663 -2.8324 2.5822 38 1 3.9053 -1.3493 3.0968 39 1 5.7953 -1.8939 1.5875 40 1 4.9569 -3.3772 1.0726 41 1 6.7274 -4.8655 1.8979 42 1 7.6865 -3.4289 2.3276 43 1 7.3650 -4.6820 3.5499 44 1 6.1659 -1.5355 3.9464 45 1 7.4798 -0.3053 6.4496 46 1 6.3782 -0.3989 5.0514 47 1 5.7101 1.3687 6.7190 48 1 4.4570 0.1274 6.4756 49 1 4.7920 0.6282 8.8911 50 1 6.5012 0.1552 8.7426 51 1 4.2621 -4.8929 9.9064 52 1 7.0977 -2.2710 8.3121 53 1 5.7931 -3.4159 7.9118 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 ZINC000595598537.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 06:10:51 Heat of formation + Delta-G solvation = -137.051991 kcal Electronic energy + Delta-G solvation = -30931.559665 eV Core-core repulsion = 26802.654386 eV Total energy + Delta-G solvation = -4128.905279 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -40.80703 -39.80323 -37.57040 -36.98529 -35.76444 -33.55387 -33.42978 -32.19870 -31.58785 -30.07609 -29.44425 -27.66419 -25.55594 -25.04883 -24.39965 -22.27547 -21.82201 -21.11491 -20.58133 -20.02362 -18.83444 -18.02079 -17.41478 -16.64742 -16.50891 -16.15602 -15.92381 -14.84646 -14.73174 -14.54401 -14.31564 -14.16044 -14.02671 -13.70573 -13.64277 -13.27789 -13.13870 -13.00817 -12.66969 -12.62235 -12.51640 -12.41024 -12.08143 -12.06976 -12.04436 -11.82920 -11.52363 -11.38998 -11.25218 -10.98783 -10.94355 -10.84786 -10.80046 -10.56581 -10.47966 -10.37239 -10.20578 -9.85830 -9.40600 -9.08550 -8.93210 -8.73563 -8.39426 -7.61414 -5.96635 -4.05323 2.02147 2.43457 3.23605 3.33719 3.40209 3.42312 3.88468 4.36571 4.38843 4.42442 4.47581 4.54102 4.60598 4.76888 4.82455 4.96536 5.15274 5.27172 5.33470 5.34215 5.36957 5.38335 5.38813 5.43436 5.51019 5.57974 5.62749 5.65608 5.68310 5.76999 5.79533 5.87121 5.99212 6.10880 6.17896 6.28989 6.32555 6.34886 6.60775 6.68235 6.83017 6.89772 7.00779 7.09392 7.37162 7.53243 7.56817 7.77368 7.95649 8.09077 8.43475 8.62820 8.98179 9.29833 9.60136 11.08460 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012288 B = 0.002612 C = 0.002418 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2278.102732 B =10716.528104 C =11575.439265 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 0.079 3.921 3 C -0.170 4.170 4 O -0.353 6.353 5 C 0.464 3.536 6 O -0.512 6.512 7 C -0.116 4.116 8 C -0.113 4.113 9 C 0.161 3.839 10 H 0.090 0.910 11 C -0.161 4.161 12 N -0.754 5.754 13 C 0.702 3.298 14 O -0.583 6.583 15 N -0.623 5.623 16 C 0.116 3.884 17 C -0.133 4.133 18 C -0.110 4.110 19 C 0.040 3.960 20 H 0.028 0.972 21 C -0.521 4.521 22 H 0.057 0.943 23 C 0.063 3.937 24 N -0.879 5.879 25 Si 0.891 3.109 26 H -0.281 1.281 27 H -0.286 1.286 28 H -0.275 1.275 29 C 0.129 3.871 30 H 0.069 0.931 31 H 0.077 0.923 32 H 0.065 0.935 33 H 0.084 0.916 34 H 0.074 0.926 35 H 0.067 0.933 36 H 0.061 0.939 37 H 0.110 0.890 38 H 0.108 0.892 39 H 0.075 0.925 40 H 0.086 0.914 41 H 0.061 0.939 42 H 0.053 0.947 43 H 0.066 0.934 44 H 0.389 0.611 45 H 0.060 0.940 46 H 0.059 0.941 47 H 0.057 0.943 48 H 0.059 0.941 49 H 0.050 0.950 50 H 0.049 0.951 51 H 0.263 0.737 52 H 0.038 0.962 53 H 0.123 0.877 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.337 8.775 -20.258 22.200 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 -0.208 4.208 2 C 0.024 3.976 3 C -0.227 4.227 4 O -0.270 6.270 5 C 0.307 3.693 6 O -0.401 6.401 7 C -0.154 4.154 8 C -0.151 4.151 9 C 0.056 3.944 10 H 0.108 0.892 11 C -0.220 4.220 12 N -0.414 5.414 13 C 0.403 3.597 14 O -0.460 6.460 15 N -0.359 5.359 16 C -0.009 4.009 17 C -0.172 4.172 18 C -0.147 4.147 19 C 0.021 3.979 20 H 0.046 0.954 21 C -0.560 4.560 22 H 0.076 0.924 23 C -0.140 4.140 24 N -0.516 5.516 25 Si 0.719 3.281 26 H -0.207 1.207 27 H -0.212 1.212 28 H -0.200 1.200 29 C 0.009 3.991 30 H 0.088 0.912 31 H 0.096 0.904 32 H 0.084 0.916 33 H 0.102 0.898 34 H 0.092 0.908 35 H 0.086 0.914 36 H 0.080 0.920 37 H 0.128 0.872 38 H 0.126 0.874 39 H 0.094 0.906 40 H 0.105 0.895 41 H 0.080 0.920 42 H 0.072 0.928 43 H 0.085 0.915 44 H 0.225 0.775 45 H 0.078 0.922 46 H 0.078 0.922 47 H 0.076 0.924 48 H 0.078 0.922 49 H 0.069 0.931 50 H 0.068 0.932 51 H 0.073 0.927 52 H 0.056 0.944 53 H 0.141 0.859 Dipole moment (debyes) X Y Z Total from point charges -2.349 7.713 -20.375 21.912 hybrid contribution 0.100 0.405 0.738 0.847 sum -2.249 8.117 -19.638 21.368 Atomic orbital electron populations 1.21896 0.92382 1.03272 1.03222 1.22734 0.95043 0.92740 0.87064 1.22210 1.02127 0.95246 1.03152 1.86611 1.36787 1.62550 1.41061 1.23914 0.78956 0.76122 0.90273 1.90644 1.59412 1.58974 1.31021 1.21477 0.98300 1.00945 0.94644 1.21752 0.94476 1.00813 0.98043 1.20704 0.97152 0.90925 0.85641 0.89231 1.22169 0.97635 1.00337 1.01871 1.45497 1.78261 1.12411 1.05243 1.15943 0.78141 0.85345 0.80263 1.90915 1.57367 1.15444 1.82251 1.47788 1.73809 1.06677 1.07671 1.21486 0.98752 0.82719 0.97902 1.21950 0.99062 0.97713 0.98440 1.21611 1.00502 1.00093 0.92534 1.18981 0.94943 0.88610 0.95380 0.95372 1.21072 1.47569 0.96080 0.91254 0.92438 1.25048 0.94899 0.96518 0.97549 1.69891 1.45492 1.03055 1.33186 0.86610 0.78261 0.77577 0.85640 1.20734 1.21195 1.19951 1.22166 0.98366 1.04626 0.73990 0.91217 0.90428 0.91637 0.89821 0.90761 0.91367 0.91973 0.87233 0.87356 0.90594 0.89516 0.92049 0.92833 0.91453 0.77546 0.92210 0.92240 0.92431 0.92180 0.93120 0.93242 0.92683 0.94409 0.85929 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.99 9.57 37.15 0.36 -0.63 16 2 C 0.08 0.69 3.18 -26.73 -0.09 0.60 16 3 C -0.17 -1.28 9.55 37.16 0.35 -0.93 16 4 O -0.35 -3.82 9.88 -39.24 -0.39 -4.21 16 5 C 0.46 5.15 7.93 36.00 0.29 5.44 16 6 O -0.51 -6.65 15.20 -18.76 -0.29 -6.93 16 7 C -0.12 -1.14 5.70 -27.89 -0.16 -1.30 16 8 C -0.11 -1.09 4.04 -26.73 -0.11 -1.20 16 9 C 0.16 1.99 2.54 -67.93 -0.17 1.81 16 10 H 0.09 1.28 7.65 -51.93 -0.40 0.89 16 11 C -0.16 -1.90 9.48 37.16 0.35 -1.55 16 12 N -0.75 -10.62 4.44 -58.67 -0.26 -10.88 16 13 C 0.70 13.81 8.26 -86.92 -0.72 13.09 16 14 O -0.58 -14.16 15.45 5.29 0.08 -14.08 16 15 N -0.62 -12.27 2.97 -178.49 -0.53 -12.80 16 16 C 0.12 1.74 6.43 -3.71 -0.02 1.71 16 17 C -0.13 -2.07 6.08 -26.61 -0.16 -2.24 16 18 C -0.11 -2.15 5.11 -26.68 -0.14 -2.28 16 19 C 0.04 0.98 2.25 -91.65 -0.21 0.77 16 20 H 0.03 0.77 8.14 -51.93 -0.42 0.35 16 21 C -0.52 -14.05 8.56 -34.44 -0.29 -14.35 16 22 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 23 C 0.06 1.73 5.30 -17.82 -0.09 1.64 16 24 N -0.88 -25.59 11.39 55.43 0.63 -24.95 16 25 Si 0.89 21.26 29.54 -169.99 -5.02 16.23 16 26 H -0.28 -6.66 7.11 56.52 0.40 -6.25 16 27 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 28 H -0.27 -6.43 7.11 56.52 0.40 -6.02 16 29 C 0.13 3.12 5.39 -3.71 -0.02 3.10 16 30 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 31 H 0.08 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.08 0.78 7.16 -51.92 -0.37 0.40 16 34 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 35 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 36 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 37 H 0.11 1.03 8.14 -51.93 -0.42 0.61 16 38 H 0.11 1.07 7.75 -51.93 -0.40 0.67 16 39 H 0.08 0.72 8.10 -51.93 -0.42 0.29 16 40 H 0.09 0.80 8.10 -51.93 -0.42 0.38 16 41 H 0.06 0.61 8.14 -51.93 -0.42 0.18 16 42 H 0.05 0.57 8.14 -51.93 -0.42 0.14 16 43 H 0.07 0.98 8.09 -51.93 -0.42 0.56 16 44 H 0.39 4.49 6.06 -40.82 -0.25 4.24 16 45 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 46 H 0.06 0.70 5.57 -51.93 -0.29 0.41 16 47 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.06 0.97 8.14 -51.93 -0.42 0.54 16 49 H 0.05 0.98 8.14 -51.93 -0.42 0.55 16 50 H 0.05 0.95 8.14 -51.93 -0.42 0.53 16 51 H 0.26 7.39 8.31 -40.82 -0.34 7.05 16 52 H 0.04 0.92 8.14 -51.93 -0.42 0.49 16 53 H 0.12 3.49 5.16 -51.93 -0.27 3.22 16 LS Contribution 419.54 15.07 6.32 6.32 Total: -1.00 -32.94 419.54 -9.82 -42.76 By element: Atomic # 1 Polarization: 14.38 SS G_CDS: -9.54 Total: 4.83 kcal Atomic # 6 Polarization: 4.53 SS G_CDS: -0.83 Total: 3.70 kcal Atomic # 7 Polarization: -48.47 SS G_CDS: -0.16 Total: -48.63 kcal Atomic # 8 Polarization: -24.63 SS G_CDS: -0.59 Total: -25.22 kcal Atomic # 14 Polarization: 21.26 SS G_CDS: -5.02 Total: 16.23 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -32.94 -9.82 -42.76 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. ZINC000595598537.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 -94.290 kcal (2) G-P(sol) polarization free energy of solvation -32.939 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -127.229 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.823 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.762 kcal (6) G-S(sol) free energy of system = (1) + (5) -137.052 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds