Wall clock time and date at job start Sat Apr 11 2020 06:10:46 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 1.53000 * 1 3 3 O 1.45198 * 109.46768 * 2 1 4 4 C 1.34229 * 116.99515 * 179.97438 * 3 2 1 5 5 O 1.20828 * 120.00580 * 0.02562 * 4 3 2 6 6 C 1.50704 * 119.99979 * 179.97438 * 4 3 2 7 7 C 1.52998 * 109.47301 * 180.02562 * 6 4 3 8 8 H 1.09000 * 109.47218 * 54.99938 * 7 6 4 9 9 C 1.53003 * 109.46741 * 295.00145 * 7 6 4 10 10 C 1.52996 * 109.47131 * 175.00425 * 7 6 4 11 11 N 1.46498 * 109.47158 * 185.00093 * 10 7 6 12 12 C 1.34782 * 120.00216 * 180.02562 * 11 10 7 13 13 O 1.21582 * 119.99757 * 355.00715 * 12 11 10 14 14 N 1.34776 * 119.99838 * 174.73530 * 12 11 10 15 15 C 1.46929 * 120.63241 * 5.21922 * 14 12 11 16 16 C 1.53625 * 108.54282 * 126.36913 * 15 14 12 17 17 C 1.53042 * 109.24136 * 54.85434 * 16 15 14 18 18 C 1.53001 * 109.45863 * 178.48933 * 17 16 15 19 19 C 1.50697 * 109.47405 * 295.07237 * 18 17 16 20 20 H 1.08007 * 119.99421 * 359.97438 * 19 18 17 21 21 C 1.37878 * 120.00277 * 180.02562 * 19 18 17 22 22 N 1.31510 * 119.99879 * 359.97438 * 21 19 18 23 23 Si 1.86797 * 119.99916 * 179.97438 * 21 19 18 24 24 H 1.48501 * 109.47385 * 89.99812 * 23 21 19 25 25 H 1.48499 * 109.46799 * 209.99466 * 23 21 19 26 26 H 1.48502 * 109.47186 * 329.99454 * 23 21 19 27 27 C 1.53045 * 109.53945 * 298.50848 * 17 16 15 28 28 C 1.46927 * 120.62500 * 185.49721 * 14 12 11 29 29 H 1.08998 * 109.47390 * 299.99927 * 1 2 3 30 30 H 1.08997 * 109.47508 * 60.00194 * 1 2 3 31 31 H 1.09005 * 109.47554 * 180.02562 * 1 2 3 32 32 H 1.09000 * 109.47061 * 239.99646 * 2 1 3 33 33 H 1.08994 * 109.46793 * 119.99942 * 2 1 3 34 34 H 1.09005 * 109.46849 * 60.00262 * 6 4 3 35 35 H 1.09000 * 109.47180 * 300.00306 * 6 4 3 36 36 H 1.08993 * 109.47598 * 60.00216 * 9 7 6 37 37 H 1.09005 * 109.46822 * 179.97438 * 9 7 6 38 38 H 1.09000 * 109.47095 * 299.99868 * 9 7 6 39 39 H 1.08997 * 109.47353 * 64.99481 * 10 7 6 40 40 H 1.09000 * 109.47054 * 304.99687 * 10 7 6 41 41 H 0.97006 * 120.00017 * 359.97438 * 11 10 7 42 42 H 1.08997 * 109.58277 * 246.20093 * 15 14 12 43 43 H 1.09000 * 109.58553 * 6.62276 * 15 14 12 44 44 H 1.09000 * 109.63265 * 294.86112 * 16 15 14 45 45 H 1.08998 * 109.43025 * 174.72326 * 16 15 14 46 46 H 1.08999 * 109.45143 * 58.52629 * 17 16 15 47 47 H 1.09007 * 109.47065 * 55.06888 * 18 17 16 48 48 H 1.08993 * 109.46910 * 175.06453 * 18 17 16 49 49 H 0.97000 * 120.00186 * 179.97438 * 22 21 19 50 50 H 1.08998 * 109.49454 * 301.41800 * 27 17 16 51 51 H 1.09000 * 109.52268 * 181.33282 * 27 17 16 52 52 H 1.08999 * 109.59159 * 353.37083 * 28 14 12 53 53 H 1.09003 * 109.58303 * 113.66113 * 28 14 12 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 8 2.0139 1.3690 0.0000 4 6 3.3446 1.5448 0.0005 5 8 4.0807 0.5866 0.0005 6 6 3.9207 2.9374 0.0000 7 6 5.4486 2.8574 0.0001 8 1 5.7806 2.2494 -0.8414 9 6 5.9258 2.2224 1.3078 10 6 6.0331 4.2656 -0.1260 11 7 7.4906 4.1805 -0.2460 12 6 8.2236 5.3049 -0.3690 13 8 7.6706 6.3828 -0.4717 14 7 9.5695 5.2349 -0.3726 15 6 10.2515 3.9335 -0.3583 16 6 11.2394 3.8867 -1.5338 17 6 12.1809 5.0903 -1.4497 18 6 13.1911 5.0284 -2.5971 19 6 14.0724 3.8180 -2.4257 20 1 13.9268 3.1591 -1.5824 21 6 15.0653 3.5524 -3.3448 22 7 15.2429 4.3550 -4.3713 23 14 16.1581 2.0525 -3.1318 24 1 15.5469 0.8918 -3.8279 25 1 17.4967 2.3290 -3.7123 26 1 16.2995 1.7443 -1.6860 27 6 11.3691 6.3835 -1.5545 28 6 10.3826 6.4586 -0.3847 29 1 -0.3634 0.5138 0.8900 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5138 0.8900 34 1 3.5843 3.4701 0.8896 35 1 3.5851 3.4691 -0.8904 36 1 5.5095 1.2191 1.3978 37 1 7.0143 2.1649 1.3077 38 1 5.5937 2.8304 2.1493 39 1 5.7746 4.8469 0.7590 40 1 5.6234 4.7510 -1.0119 41 1 7.9284 3.3148 -0.2362 42 1 10.7913 3.8142 0.5811 43 1 9.5172 3.1350 -0.4641 44 1 10.6905 3.9192 -2.4750 45 1 11.8205 2.9660 -1.4827 46 1 12.7111 5.0705 -0.4976 47 1 12.6593 4.9591 -3.5461 48 1 13.8050 5.9289 -2.5896 49 1 15.9416 4.1684 -5.0177 50 1 10.8190 6.3924 -2.4954 51 1 12.0422 7.2401 -1.5183 52 1 9.7350 7.3265 -0.5082 53 1 10.9310 6.5422 0.5536 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 ZINC000580188698.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 06:10:46 Heat of formation + Delta-G solvation = -141.824486 kcal Electronic energy + Delta-G solvation = -29710.056159 eV Core-core repulsion = 25580.943930 eV Total energy + Delta-G solvation = -4129.112230 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.50 seconds Orbital eigenvalues (eV) -41.00299 -40.24479 -37.94658 -37.28909 -36.21714 -34.05675 -33.39948 -32.24974 -31.96178 -30.60241 -28.68917 -28.04631 -26.57058 -24.49626 -23.76980 -22.86382 -22.09561 -21.59377 -20.58731 -19.98861 -19.09973 -18.25172 -17.69596 -17.19389 -16.87932 -16.29589 -15.96288 -15.78587 -15.19464 -14.73396 -14.52757 -14.36879 -14.18001 -13.82955 -13.71426 -13.57832 -13.39828 -13.18694 -13.06016 -12.85572 -12.77120 -12.51997 -12.30605 -12.17049 -12.07945 -11.78662 -11.66509 -11.42430 -11.24516 -11.17977 -10.97327 -10.97102 -10.81278 -10.69252 -10.64154 -10.46800 -10.11362 -9.95058 -9.62969 -9.26468 -9.11846 -8.95559 -8.35670 -8.21197 -5.99935 -4.02020 1.81161 2.17582 2.80215 3.30430 3.33014 3.37467 3.39634 3.94121 4.12562 4.36935 4.42342 4.44921 4.45731 4.48805 4.66967 4.77846 4.99568 5.06316 5.11877 5.17603 5.22285 5.27529 5.33782 5.35272 5.44978 5.46625 5.49722 5.53353 5.59275 5.63025 5.69883 5.76501 5.87737 5.92590 6.02300 6.12022 6.12417 6.36980 6.42165 6.46552 6.52511 6.67305 6.97767 7.01053 7.10440 7.12483 7.35683 7.67325 7.82193 7.99949 8.04122 8.42205 8.70669 9.04543 9.61757 11.11255 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014383 B = 0.001885 C = 0.001719 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1946.244327 B =14851.542033 C =16282.546996 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C 0.061 3.939 3 O -0.361 6.361 4 C 0.463 3.537 5 O -0.502 6.502 6 C -0.107 4.107 7 C -0.094 4.094 8 H 0.089 0.911 9 C -0.156 4.156 10 C 0.145 3.855 11 N -0.749 5.749 12 C 0.708 3.292 13 O -0.599 6.599 14 N -0.622 5.622 15 C 0.109 3.891 16 C -0.118 4.118 17 C -0.080 4.080 18 C 0.027 3.973 19 C -0.517 4.517 20 H 0.056 0.944 21 C 0.056 3.944 22 N -0.895 5.895 23 Si 0.889 3.111 24 H -0.281 1.281 25 H -0.287 1.287 26 H -0.274 1.274 27 C -0.130 4.130 28 C 0.130 3.870 29 H 0.066 0.934 30 H 0.067 0.933 31 H 0.080 0.920 32 H 0.070 0.930 33 H 0.070 0.930 34 H 0.110 0.890 35 H 0.111 0.889 36 H 0.073 0.927 37 H 0.059 0.941 38 H 0.055 0.945 39 H 0.067 0.933 40 H 0.068 0.932 41 H 0.397 0.603 42 H 0.067 0.933 43 H 0.066 0.934 44 H 0.058 0.942 45 H 0.083 0.917 46 H 0.058 0.942 47 H 0.015 0.985 48 H 0.016 0.984 49 H 0.260 0.740 50 H 0.060 0.940 51 H 0.070 0.930 52 H 0.086 0.914 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -27.357 -5.491 11.536 30.194 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 -0.210 4.210 2 C -0.012 4.012 3 O -0.278 6.278 4 C 0.306 3.694 5 O -0.390 6.390 6 C -0.145 4.145 7 C -0.113 4.113 8 H 0.107 0.893 9 C -0.213 4.213 10 C 0.020 3.980 11 N -0.408 5.408 12 C 0.409 3.591 13 O -0.478 6.478 14 N -0.359 5.359 15 C -0.014 4.014 16 C -0.156 4.156 17 C -0.098 4.098 18 C -0.010 4.010 19 C -0.555 4.555 20 H 0.074 0.926 21 C -0.145 4.145 22 N -0.534 5.534 23 Si 0.717 3.283 24 H -0.208 1.208 25 H -0.213 1.213 26 H -0.199 1.199 27 C -0.168 4.168 28 C 0.007 3.993 29 H 0.086 0.914 30 H 0.086 0.914 31 H 0.098 0.902 32 H 0.089 0.911 33 H 0.088 0.912 34 H 0.129 0.871 35 H 0.129 0.871 36 H 0.092 0.908 37 H 0.078 0.922 38 H 0.074 0.926 39 H 0.085 0.915 40 H 0.086 0.914 41 H 0.234 0.766 42 H 0.085 0.915 43 H 0.084 0.916 44 H 0.077 0.923 45 H 0.102 0.898 46 H 0.076 0.924 47 H 0.033 0.967 48 H 0.034 0.966 49 H 0.069 0.931 50 H 0.079 0.921 51 H 0.089 0.911 52 H 0.104 0.896 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -27.457 -4.987 11.327 30.117 hybrid contribution 0.974 -1.540 -0.076 1.824 sum -26.483 -6.527 11.251 29.505 Atomic orbital electron populations 1.21815 0.92544 1.03079 1.03594 1.23039 0.95433 0.80067 1.02706 1.86508 1.24668 1.32573 1.84038 1.23704 0.80504 0.92889 0.72308 1.90668 1.60140 1.43279 1.44885 1.21369 0.95534 0.91123 1.06507 1.21213 0.92397 0.96721 1.00941 0.89298 1.21999 1.01786 1.01862 0.95668 1.21114 0.79322 0.95277 1.02261 1.45233 1.06947 1.08209 1.80394 1.15794 0.81484 0.84038 0.77740 1.90875 1.70847 1.27586 1.58506 1.47342 1.03426 1.08114 1.77039 1.21890 0.95597 0.83541 1.00329 1.21974 0.96442 1.00942 0.96270 1.21175 0.95619 0.91645 1.01392 1.19127 0.92623 0.96970 0.92261 1.21241 1.15518 1.09641 1.09087 0.92617 1.25022 0.97506 0.96546 0.95397 1.69963 1.33002 1.37347 1.13098 0.86649 0.80111 0.83308 0.78238 1.20761 1.21311 1.19930 1.22041 0.97465 0.99669 0.97651 1.21545 0.92808 0.86229 0.98694 0.91442 0.91396 0.90170 0.91130 0.91182 0.87141 0.87076 0.90838 0.92223 0.92624 0.91468 0.91382 0.76581 0.91520 0.91582 0.92279 0.89816 0.92364 0.96662 0.96560 0.93063 0.92078 0.91147 0.89594 0.92081 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 -0.60 10.29 37.16 0.38 -0.22 16 2 C 0.06 0.38 6.19 37.16 0.23 0.61 16 3 O -0.36 -2.80 10.22 -39.26 -0.40 -3.20 16 4 C 0.46 3.83 7.67 36.01 0.28 4.11 16 5 O -0.50 -5.48 13.72 -18.75 -0.26 -5.74 16 6 C -0.11 -0.63 5.29 -27.88 -0.15 -0.78 16 7 C -0.09 -0.70 2.07 -90.62 -0.19 -0.89 16 8 H 0.09 0.75 7.95 -51.93 -0.41 0.34 16 9 C -0.16 -1.21 8.81 37.16 0.33 -0.89 16 10 C 0.14 1.34 5.07 -4.04 -0.02 1.32 16 11 N -0.75 -8.63 5.19 -65.23 -0.34 -8.96 16 12 C 0.71 10.87 8.29 -86.91 -0.72 10.15 16 13 O -0.60 -11.14 15.77 5.29 0.08 -11.06 16 14 N -0.62 -9.29 2.97 -178.22 -0.53 -9.82 16 15 C 0.11 1.48 6.42 -3.48 -0.02 1.46 16 16 C -0.12 -2.02 5.21 -26.38 -0.14 -2.16 16 17 C -0.08 -1.54 2.10 -90.57 -0.19 -1.73 16 18 C 0.03 0.68 4.45 -27.88 -0.12 0.55 16 19 C -0.52 -13.97 8.39 -34.44 -0.29 -14.26 16 20 H 0.06 1.44 7.06 -52.48 -0.37 1.07 16 21 C 0.06 1.58 5.46 -17.82 -0.10 1.48 16 22 N -0.89 -26.58 13.29 55.43 0.74 -25.84 16 23 Si 0.89 21.26 29.54 -169.99 -5.02 16.24 16 24 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 25 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 26 H -0.27 -6.40 7.11 56.52 0.40 -6.00 16 27 C -0.13 -2.22 5.36 -26.61 -0.14 -2.36 16 28 C 0.13 1.98 6.44 -3.71 -0.02 1.96 16 29 H 0.07 0.25 8.14 -51.93 -0.42 -0.17 16 30 H 0.07 0.27 8.14 -51.93 -0.42 -0.16 16 31 H 0.08 0.20 8.14 -51.93 -0.42 -0.23 16 32 H 0.07 0.44 8.13 -51.93 -0.42 0.02 16 33 H 0.07 0.43 8.13 -51.93 -0.42 0.00 16 34 H 0.11 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.11 0.50 8.14 -51.93 -0.42 0.08 16 36 H 0.07 0.66 5.96 -51.93 -0.31 0.35 16 37 H 0.06 0.47 7.18 -51.93 -0.37 0.10 16 38 H 0.05 0.39 8.14 -51.93 -0.42 -0.03 16 39 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 40 H 0.07 0.67 8.14 -51.93 -0.42 0.24 16 41 H 0.40 3.96 5.14 -40.82 -0.21 3.75 16 42 H 0.07 0.85 8.14 -51.93 -0.42 0.43 16 43 H 0.07 0.73 5.65 -51.93 -0.29 0.44 16 44 H 0.06 1.07 8.14 -51.93 -0.42 0.65 16 45 H 0.08 1.51 6.91 -51.93 -0.36 1.16 16 46 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 47 H 0.02 0.41 8.14 -51.93 -0.42 -0.02 16 48 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 49 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 50 H 0.06 1.11 8.14 -51.93 -0.42 0.69 16 51 H 0.07 1.16 8.14 -51.93 -0.42 0.74 16 52 H 0.09 1.36 7.00 -51.93 -0.36 1.00 16 53 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 LS Contribution 417.20 15.07 6.29 6.29 Total: -1.00 -33.87 417.20 -9.76 -43.63 By element: Atomic # 1 Polarization: 9.53 SS G_CDS: -9.43 Total: 0.10 kcal Atomic # 6 Polarization: -0.75 SS G_CDS: -0.89 Total: -1.64 kcal Atomic # 7 Polarization: -44.49 SS G_CDS: -0.13 Total: -44.62 kcal Atomic # 8 Polarization: -19.42 SS G_CDS: -0.57 Total: -20.00 kcal Atomic # 14 Polarization: 21.26 SS G_CDS: -5.02 Total: 16.24 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -33.87 -9.76 -43.63 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. ZINC000580188698.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 -98.191 kcal (2) G-P(sol) polarization free energy of solvation -33.871 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -132.062 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.762 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.633 kcal (6) G-S(sol) free energy of system = (1) + (5) -141.824 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.51 seconds