Wall clock time and date at job start Tue Mar 31 2020 13:34:16 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 1.52997 * 1 3 3 C 1.52998 * 109.46919 * 2 1 4 4 C 1.53002 * 109.47325 * 120.00475 * 2 1 3 5 5 H 1.08995 * 109.46753 * 300.40176 * 4 2 1 6 6 C 1.50696 * 109.46805 * 60.39941 * 4 2 1 7 7 O 1.21285 * 119.99833 * 76.81520 * 6 4 2 8 8 N 1.34775 * 120.00489 * 256.80750 * 6 4 2 9 9 C 1.47024 * 125.64287 * 354.72329 * 8 6 4 10 10 C 1.54338 * 107.26571 * 178.84572 * 9 8 6 11 11 C 1.55157 * 103.02069 * 338.14810 * 10 9 8 12 12 H 1.09005 * 111.03127 * 277.21096 * 11 10 9 13 13 N 1.46501 * 111.00756 * 153.37861 * 11 10 9 14 14 C 1.36937 * 119.99689 * 92.79663 * 13 11 10 15 15 H 1.07999 * 120.00349 * 0.02562 * 14 13 11 16 16 C 1.38809 * 119.99515 * 179.97438 * 14 13 11 17 17 N 1.31624 * 120.00544 * 0.02562 * 16 14 13 18 18 Si 1.86801 * 120.00006 * 180.02562 * 16 14 13 19 19 H 1.48505 * 109.47131 * 0.02562 * 18 16 14 20 20 H 1.48500 * 109.47247 * 120.00156 * 18 16 14 21 21 H 1.48501 * 109.47161 * 240.00292 * 18 16 14 22 22 C 1.47421 * 125.65336 * 175.03182 * 8 6 4 23 23 N 1.46892 * 109.47135 * 180.40071 * 4 2 1 24 24 C 1.46848 * 111.00214 * 299.21203 * 23 4 2 25 25 C 1.53035 * 109.52466 * 174.16214 * 24 23 4 26 26 C 1.53116 * 109.28120 * 59.17810 * 25 24 23 27 27 C 1.53124 * 109.15670 * 302.34651 * 26 25 24 28 28 C 1.46845 * 111.00290 * 174.99915 * 23 4 2 29 29 H 1.09007 * 109.47000 * 304.06163 * 1 2 3 30 30 H 1.09003 * 109.47403 * 64.05883 * 1 2 3 31 31 H 1.09000 * 109.47139 * 184.06533 * 1 2 3 32 32 H 1.09007 * 109.46850 * 240.00652 * 2 1 3 33 33 H 1.09009 * 109.46896 * 179.97438 * 3 2 1 34 34 H 1.08997 * 109.47767 * 299.99819 * 3 2 1 35 35 H 1.08998 * 109.46778 * 60.00925 * 3 2 1 36 36 H 1.08995 * 109.88513 * 298.39473 * 9 8 6 37 37 H 1.09002 * 109.87981 * 59.56417 * 9 8 6 38 38 H 1.08998 * 110.85107 * 219.67498 * 10 9 8 39 39 H 1.09001 * 110.66324 * 96.52303 * 10 9 8 40 40 H 0.96991 * 119.99956 * 272.80065 * 13 11 10 41 41 H 0.96994 * 120.00747 * 179.97438 * 17 16 14 42 42 H 1.09001 * 110.36647 * 322.93052 * 22 8 6 43 43 H 1.09000 * 110.36837 * 85.25442 * 22 8 6 44 44 H 1.09001 * 109.45752 * 294.17308 * 24 23 4 45 45 H 1.08998 * 109.46420 * 54.14467 * 24 23 4 46 46 H 1.09004 * 109.50063 * 299.23319 * 25 24 23 47 47 H 1.09000 * 109.50561 * 179.11832 * 25 24 23 48 48 H 1.09002 * 109.52529 * 182.44610 * 26 25 24 49 49 H 1.08998 * 109.52845 * 62.25071 * 26 25 24 50 50 H 1.08999 * 109.50077 * 297.70936 * 27 26 25 51 51 H 1.09008 * 109.50109 * 177.59462 * 27 26 25 52 52 H 1.09006 * 109.46230 * 305.86137 * 28 23 4 53 53 H 1.09001 * 109.46200 * 65.83299 * 28 23 4 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 2.0399 1.4425 0.0000 4 6 2.0400 -0.7214 1.2492 5 1 1.6708 -0.2118 2.1391 6 6 1.5458 -2.1450 1.2441 7 8 2.0728 -2.9672 0.5249 8 7 0.5183 -2.5045 2.0387 9 6 -0.1373 -1.6434 3.0338 10 6 -1.2719 -2.4685 3.6771 11 6 -1.5514 -3.5654 2.6159 12 1 -2.2149 -3.1940 1.8348 13 7 -2.1024 -4.7712 3.2394 14 6 -3.4587 -4.9365 3.3297 15 1 -4.1223 -4.1783 2.9410 16 6 -3.9807 -6.0792 3.9201 17 7 -3.1721 -7.0036 4.3934 18 14 -5.8309 -6.3053 4.0427 19 1 -6.5140 -5.1323 3.4402 20 1 -6.2285 -7.5369 3.3146 21 1 -6.2213 -6.4265 5.4704 22 6 -0.1302 -3.8283 2.0585 23 7 3.5089 -0.7129 1.2540 24 6 4.0431 -1.4088 0.0763 25 6 5.5652 -1.2551 0.0382 26 6 6.1651 -1.8441 1.3179 27 6 5.5563 -1.1351 2.5308 28 6 4.0345 -1.2923 2.4968 29 1 -0.3633 0.5756 0.8514 30 1 -0.3634 0.4496 -0.9241 31 1 -0.3633 -1.0251 0.0729 32 1 1.8933 -0.5138 -0.8901 33 1 3.1300 1.4425 0.0005 34 1 1.6767 1.9564 -0.8899 35 1 1.6767 1.9562 0.8901 36 1 0.5823 -1.3424 3.7951 37 1 -0.5534 -0.7625 2.5450 38 1 -2.1567 -1.8525 3.8373 39 1 -0.9394 -2.9146 4.6143 40 1 -1.5065 -5.4522 3.5883 41 1 -3.5368 -7.8020 4.8063 42 1 -0.1880 -4.2376 1.0499 43 1 0.4145 -4.5078 2.7139 44 1 3.7862 -2.4666 0.1321 45 1 3.6118 -0.9775 -0.8270 46 1 5.8226 -0.1982 -0.0315 47 1 5.9629 -1.7849 -0.8275 48 1 7.2452 -1.6979 1.3147 49 1 5.9410 -2.9096 1.3684 50 1 5.8136 -0.0763 2.5004 51 1 5.9476 -1.5792 3.4462 52 1 3.5968 -0.7764 3.3515 53 1 3.7778 -2.3507 2.5411 RHF calculation, no. of doubly occupied orbitals= 63 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 ZINC001019823893.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 13:34:16 Heat of formation + Delta-G solvation = -25.113117 kcal Electronic energy + Delta-G solvation = -29598.546451 eV Core-core repulsion = 25890.896060 eV Total energy + Delta-G solvation = -3707.650391 eV No. of doubly occupied orbitals = 63 Molecular weight (most abundant/longest-lived isotopes) = 323.231 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.86823 -38.65425 -37.08716 -35.92378 -34.17315 -32.59448 -31.60271 -30.85197 -29.59551 -28.41299 -27.12377 -26.66688 -23.94358 -23.41425 -23.10718 -22.60405 -20.62199 -20.07200 -19.94752 -18.68637 -17.42069 -17.18822 -16.51292 -16.10788 -15.38922 -15.07479 -14.73788 -14.52258 -14.30147 -14.10030 -13.81558 -13.57068 -13.30960 -13.26927 -13.23454 -12.91223 -12.58227 -12.53318 -12.39033 -12.23461 -12.08441 -11.97075 -11.70966 -11.39913 -11.20862 -11.12486 -11.10724 -10.98317 -10.87022 -10.81083 -10.74254 -10.47080 -10.31153 -10.20926 -10.08683 -10.03129 -9.80951 -9.01196 -8.47776 -8.08746 -7.09439 -5.86414 -3.17256 2.64705 3.12247 3.37941 3.43902 3.46032 3.70185 4.47346 4.51394 4.57133 4.68441 4.80554 4.83969 4.86461 5.00470 5.08215 5.15977 5.21517 5.28963 5.31860 5.36013 5.40546 5.48670 5.53974 5.54835 5.55994 5.58567 5.69007 5.70018 5.76545 5.79402 5.81335 5.84672 5.90173 5.94638 6.00177 6.05908 6.07684 6.10694 6.19387 6.20459 6.25669 6.32721 6.35005 6.52531 6.57347 6.84878 6.87371 6.96714 7.61815 7.70843 8.26838 8.31038 9.42524 9.96253 10.31021 11.35767 Molecular weight = 323.23amu Principal moments of inertia in cm(-1) A = 0.020318 B = 0.002917 C = 0.002721 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1377.785218 B = 9597.062505 C =10289.353155 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.080 4.080 3 C -0.134 4.134 4 C 0.076 3.924 5 H 0.098 0.902 6 C 0.501 3.499 7 O -0.543 6.543 8 N -0.609 5.609 9 C 0.098 3.902 10 C -0.155 4.155 11 C 0.173 3.827 12 H 0.066 0.934 13 N -0.714 5.714 14 C -0.245 4.245 15 H 0.073 0.927 16 C -0.010 4.010 17 N -0.930 5.930 18 Si 0.909 3.091 19 H -0.279 1.279 20 H -0.291 1.291 21 H -0.291 1.291 22 C 0.096 3.904 23 N -0.508 5.508 24 C 0.027 3.973 25 C -0.115 4.115 26 C -0.122 4.122 27 C -0.112 4.112 28 C 0.047 3.953 29 H 0.059 0.941 30 H 0.060 0.940 31 H 0.058 0.942 32 H 0.078 0.922 33 H 0.068 0.932 34 H 0.050 0.950 35 H 0.052 0.948 36 H 0.059 0.941 37 H 0.066 0.934 38 H 0.075 0.925 39 H 0.074 0.926 40 H 0.386 0.614 41 H 0.256 0.744 42 H 0.074 0.926 43 H 0.065 0.935 44 H 0.084 0.916 45 H 0.073 0.927 46 H 0.064 0.936 47 H 0.063 0.937 48 H 0.060 0.940 49 H 0.059 0.941 50 H 0.069 0.931 51 H 0.064 0.936 52 H 0.072 0.928 53 H 0.037 0.963 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 15.349 17.594 -6.119 24.137 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 -0.212 4.212 2 C -0.099 4.099 3 C -0.192 4.192 4 C -0.036 4.036 5 H 0.116 0.884 6 C 0.289 3.711 7 O -0.421 6.421 8 N -0.343 5.343 9 C -0.025 4.025 10 C -0.197 4.197 11 C 0.061 3.939 12 H 0.084 0.916 13 N -0.354 5.354 14 C -0.376 4.376 15 H 0.091 0.909 16 C -0.206 4.206 17 N -0.577 5.577 18 Si 0.740 3.260 19 H -0.205 1.205 20 H -0.218 1.218 21 H -0.218 1.218 22 C -0.028 4.028 23 N -0.231 5.231 24 C -0.100 4.100 25 C -0.153 4.153 26 C -0.160 4.160 27 C -0.149 4.149 28 C -0.080 4.080 29 H 0.078 0.922 30 H 0.079 0.921 31 H 0.077 0.923 32 H 0.096 0.904 33 H 0.087 0.913 34 H 0.069 0.931 35 H 0.072 0.928 36 H 0.078 0.922 37 H 0.084 0.916 38 H 0.093 0.907 39 H 0.093 0.907 40 H 0.220 0.780 41 H 0.066 0.934 42 H 0.092 0.908 43 H 0.084 0.916 44 H 0.101 0.899 45 H 0.091 0.909 46 H 0.083 0.917 47 H 0.082 0.918 48 H 0.079 0.921 49 H 0.078 0.922 50 H 0.088 0.912 51 H 0.083 0.917 52 H 0.090 0.910 53 H 0.055 0.945 Dipole moment (debyes) X Y Z Total from point charges 15.656 17.647 -6.572 24.489 hybrid contribution -1.158 -1.289 0.518 1.809 sum 14.498 16.358 -6.054 22.681 Atomic orbital electron populations 1.21951 0.94542 1.02478 1.02193 1.21065 0.95667 0.96912 0.96284 1.21697 1.02188 0.94151 1.01139 1.21965 0.88996 0.91464 1.01195 0.88447 1.21597 0.78974 0.91386 0.79179 1.90574 1.55628 1.53899 1.42006 1.48701 1.32870 1.14720 1.37970 1.22158 0.95437 0.94213 0.90682 1.23423 0.96393 0.98993 1.00848 1.21281 0.91027 0.88417 0.93156 0.91579 1.42275 1.04736 1.18894 1.69468 1.19267 0.82713 1.02892 1.32720 0.90903 1.24779 0.97916 0.96862 1.01087 1.69670 1.33325 1.10105 1.44617 0.86100 0.85018 0.77609 0.77318 1.20460 1.21768 1.21771 1.22593 0.94292 0.84013 1.01857 1.62407 1.03640 1.54029 1.03063 1.22649 0.94077 1.00731 0.92509 1.21589 0.95254 1.01094 0.97318 1.21578 0.99464 0.99895 0.95032 1.21526 0.94113 1.01282 0.98022 1.22154 0.95879 0.97943 0.92066 0.92244 0.92073 0.92254 0.90380 0.91319 0.93062 0.92841 0.92249 0.91620 0.90655 0.90682 0.77964 0.93372 0.90804 0.91650 0.89866 0.90906 0.91746 0.91843 0.92109 0.92219 0.91187 0.91694 0.90960 0.94515 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -1.56 8.46 37.16 0.31 -1.25 16 2 C -0.08 -0.83 2.14 -90.62 -0.19 -1.02 16 3 C -0.13 -1.15 9.03 37.16 0.34 -0.82 16 4 C 0.08 0.88 1.58 -68.87 -0.11 0.77 16 5 H 0.10 1.04 6.75 -51.93 -0.35 0.69 16 6 C 0.50 7.44 4.50 -10.99 -0.05 7.39 16 7 O -0.54 -9.76 13.75 5.55 0.08 -9.68 16 8 N -0.61 -9.09 3.06 -170.51 -0.52 -9.61 16 9 C 0.10 1.26 5.84 -3.06 -0.02 1.24 16 10 C -0.16 -2.44 6.64 -24.89 -0.17 -2.61 16 11 C 0.17 3.28 3.72 -65.78 -0.24 3.03 16 12 H 0.07 1.27 8.09 -51.93 -0.42 0.85 16 13 N -0.71 -17.17 5.24 -51.35 -0.27 -17.44 16 14 C -0.25 -6.54 9.96 -15.06 -0.15 -6.69 16 15 H 0.07 1.88 7.83 -52.49 -0.41 1.47 16 16 C -0.01 -0.28 5.50 -17.43 -0.10 -0.37 16 17 N -0.93 -27.44 13.06 55.49 0.72 -26.72 16 18 Si 0.91 21.81 29.55 -169.99 -5.02 16.79 16 19 H -0.28 -6.47 7.11 56.52 0.40 -6.07 16 20 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 21 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 22 C 0.10 1.69 6.53 -2.53 -0.02 1.68 16 23 N -0.51 -5.70 3.86 -228.10 -0.88 -6.58 16 24 C 0.03 0.32 4.52 -3.83 -0.02 0.31 16 25 C -0.11 -1.12 6.09 -26.65 -0.16 -1.28 16 26 C -0.12 -1.16 6.00 -26.61 -0.16 -1.32 16 27 C -0.11 -1.04 6.09 -26.65 -0.16 -1.20 16 28 C 0.05 0.53 5.13 -3.84 -0.02 0.51 16 29 H 0.06 0.54 7.44 -51.93 -0.39 0.15 16 30 H 0.06 0.56 8.14 -51.93 -0.42 0.13 16 31 H 0.06 0.73 6.88 -51.93 -0.36 0.38 16 32 H 0.08 0.91 6.32 -51.93 -0.33 0.58 16 33 H 0.07 0.62 7.59 -51.92 -0.39 0.23 16 34 H 0.05 0.39 8.14 -51.93 -0.42 -0.03 16 35 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 36 H 0.06 0.68 8.05 -51.93 -0.42 0.26 16 37 H 0.07 0.72 6.81 -51.93 -0.35 0.37 16 38 H 0.07 1.14 8.14 -51.93 -0.42 0.72 16 39 H 0.07 1.28 8.14 -51.93 -0.42 0.85 16 40 H 0.39 9.97 7.76 -40.82 -0.32 9.65 16 41 H 0.26 7.33 8.31 -40.82 -0.34 6.99 16 42 H 0.07 1.38 8.09 -51.93 -0.42 0.96 16 43 H 0.07 1.22 8.00 -51.93 -0.42 0.81 16 44 H 0.08 1.25 5.22 -51.93 -0.27 0.98 16 45 H 0.07 0.85 6.04 -51.93 -0.31 0.54 16 46 H 0.06 0.60 8.14 -51.93 -0.42 0.17 16 47 H 0.06 0.58 8.14 -51.93 -0.42 0.15 16 48 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 49 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 50 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.06 0.55 8.14 -51.92 -0.42 0.13 16 52 H 0.07 0.74 8.08 -51.93 -0.42 0.32 16 53 H 0.04 0.50 7.44 -51.93 -0.39 0.11 16 LS Contribution 395.85 15.07 5.97 5.97 Total: -1.00 -29.72 395.85 -10.59 -40.31 By element: Atomic # 1 Polarization: 18.36 SS G_CDS: -9.75 Total: 8.61 kcal Atomic # 6 Polarization: -0.73 SS G_CDS: -0.91 Total: -1.64 kcal Atomic # 7 Polarization: -59.40 SS G_CDS: -0.95 Total: -60.35 kcal Atomic # 8 Polarization: -9.76 SS G_CDS: 0.08 Total: -9.68 kcal Atomic # 14 Polarization: 21.81 SS G_CDS: -5.02 Total: 16.79 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -29.72 -10.59 -40.31 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. ZINC001019823893.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 15.197 kcal (2) G-P(sol) polarization free energy of solvation -29.720 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -14.523 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.590 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.310 kcal (6) G-S(sol) free energy of system = (1) + (5) -25.113 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds