Wall clock time and date at job start Sat Apr 11 2020 06:12:18 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 1.42894 * 1 3 3 C 1.42901 * 114.00257 * 2 1 4 4 C 1.53002 * 109.46916 * 179.97438 * 3 2 1 5 5 C 1.50703 * 109.54317 * 265.93513 * 4 3 2 6 6 O 1.21285 * 119.99611 * 233.99289 * 5 4 3 7 7 N 1.34775 * 120.00095 * 53.98567 * 5 4 3 8 8 C 1.46494 * 119.99936 * 4.85664 * 7 5 4 9 9 C 1.46500 * 120.00001 * 184.85749 * 7 5 4 10 10 H 1.09008 * 109.47060 * 359.97438 * 9 7 5 11 11 C 1.53001 * 109.47028 * 240.00189 * 9 7 5 12 12 N 1.46501 * 109.47054 * 55.00029 * 11 9 7 13 13 C 1.36938 * 119.99777 * 180.02562 * 12 11 9 14 14 H 1.08000 * 120.00401 * 0.02562 * 13 12 11 15 15 C 1.38812 * 120.00046 * 179.97438 * 13 12 11 16 16 N 1.31617 * 119.99909 * 0.02562 * 15 13 12 17 17 Si 1.86800 * 120.00335 * 179.97438 * 15 13 12 18 18 H 1.48498 * 109.46811 * 90.00086 * 17 15 13 19 19 H 1.48498 * 109.47318 * 210.00508 * 17 15 13 20 20 H 1.48501 * 109.46938 * 330.00332 * 17 15 13 21 21 C 1.52995 * 109.47353 * 120.00003 * 9 7 5 22 22 C 1.53001 * 117.49691 * 185.00004 * 21 9 7 23 23 C 1.53001 * 60.03171 * 252.49708 * 22 21 9 24 24 C 1.53178 * 109.54545 * 26.10921 * 4 3 2 25 25 C 1.53278 * 109.06660 * 176.85304 * 24 4 3 26 26 O 1.42910 * 109.45799 * 302.44811 * 25 24 4 27 27 C 1.42894 * 114.09883 * 61.15931 * 26 25 24 28 28 C 1.53094 * 109.41349 * 298.83763 * 27 26 25 29 29 H 1.09006 * 109.46710 * 60.00044 * 1 2 3 30 30 H 1.08999 * 109.47656 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.47132 * 300.00595 * 1 2 3 32 32 H 1.08993 * 109.47025 * 59.99724 * 3 2 1 33 33 H 1.08997 * 109.46942 * 299.99080 * 3 2 1 34 34 H 1.09002 * 109.47463 * 273.89552 * 8 7 5 35 35 H 1.09003 * 109.47446 * 33.89458 * 8 7 5 36 36 H 1.09002 * 109.46844 * 153.89561 * 8 7 5 37 37 H 1.09001 * 109.47296 * 174.99879 * 11 9 7 38 38 H 1.08995 * 109.47041 * 294.99629 * 11 9 7 39 39 H 0.96994 * 120.00456 * 359.97438 * 12 11 9 40 40 H 0.97001 * 120.00461 * 179.97438 * 16 15 13 41 41 H 1.09004 * 115.54997 * 330.66900 * 21 9 7 42 42 H 1.08996 * 117.50243 * 359.97438 * 22 21 9 43 43 H 1.09004 * 117.49688 * 144.99744 * 22 21 9 44 44 H 1.08994 * 117.49685 * 107.49875 * 23 22 21 45 45 H 1.08998 * 117.50250 * 252.52126 * 23 22 21 46 46 H 1.09005 * 109.52494 * 296.84092 * 24 4 3 47 47 H 1.09001 * 109.52376 * 57.03244 * 24 4 3 48 48 H 1.08990 * 109.46188 * 182.45113 * 25 24 4 49 49 H 1.09003 * 109.46937 * 62.44491 * 25 24 4 50 50 H 1.09004 * 109.47993 * 178.86426 * 27 26 25 51 51 H 1.09000 * 109.49699 * 58.82988 * 27 26 25 52 52 H 1.08994 * 109.52534 * 297.70675 * 28 27 26 53 53 H 1.09003 * 109.57554 * 177.54880 * 28 27 26 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 1.4289 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 6 3.5355 1.1845 0.0006 5 6 4.0454 1.2453 1.4175 6 8 4.8966 2.0540 1.7214 7 7 3.5554 0.4011 2.3468 8 6 2.6064 -0.6451 1.9584 9 6 3.9719 0.5297 3.7455 10 1 4.6757 1.3567 3.8405 11 6 4.6457 -0.7672 4.1982 12 7 5.7476 -1.0887 3.2878 13 6 6.5008 -2.2134 3.4948 14 1 6.2823 -2.8637 4.3290 15 6 7.5445 -2.5184 2.6319 16 7 7.8104 -1.7262 1.6150 17 14 8.5724 -4.0522 2.9146 18 1 7.9658 -5.1957 2.1868 19 1 9.9518 -3.8228 2.4147 20 1 8.6168 -4.3575 4.3672 21 6 2.7459 0.7996 4.6200 22 6 2.9854 1.0822 6.1045 23 6 2.3796 -0.2535 5.6687 24 6 3.9441 -0.1483 -0.6342 25 6 5.4737 -0.2236 -0.6997 26 8 5.9738 0.8902 -1.4425 27 6 5.6611 2.1614 -0.8695 28 6 4.1410 2.3334 -0.8116 29 1 -0.3633 0.5139 -0.8901 30 1 -0.3634 -1.0276 -0.0005 31 1 -0.3633 0.5139 0.8899 32 1 1.6886 1.8463 0.8899 33 1 1.6888 1.8463 -0.8900 34 1 1.5945 -0.2399 1.9688 35 1 2.8458 -0.9987 0.9555 36 1 2.6726 -1.4751 2.6618 37 1 5.0344 -0.6412 5.2088 38 1 3.9173 -1.5780 4.1877 39 1 5.9431 -0.5053 2.5380 40 1 8.5399 -1.9390 1.0122 41 1 1.9281 1.3302 4.1322 42 1 4.0164 1.0753 6.4582 43 1 2.3252 1.7986 6.5934 44 1 3.0121 -1.1387 5.7356 45 1 1.3208 -0.4157 5.8706 46 1 3.5624 -0.9716 -0.0305 47 1 3.5332 -0.2130 -1.6417 48 1 5.7710 -1.1504 -1.1900 49 1 5.8822 -0.1995 0.3106 50 1 6.0933 2.9525 -1.4823 51 1 6.0718 2.2169 0.1386 52 1 3.7339 2.3187 -1.8226 53 1 3.8988 3.2834 -0.3353 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 ZINC001717731768.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 06:12:18 Heat of formation + Delta-G solvation = -51.870419 kcal Electronic energy + Delta-G solvation = -34090.127268 eV Core-core repulsion = 29964.915739 eV Total energy + Delta-G solvation = -4125.211529 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.03 seconds Orbital eigenvalues (eV) -41.04238 -38.63422 -37.87747 -37.16040 -34.95612 -34.16904 -33.58195 -31.12983 -30.55682 -28.24714 -27.98446 -26.68008 -25.82465 -24.45713 -23.29204 -22.89251 -22.51519 -21.81703 -21.49465 -19.10754 -18.42063 -17.05930 -16.72764 -16.49250 -16.14663 -16.13494 -15.91879 -15.25820 -15.18643 -14.76625 -14.43209 -14.32210 -14.18590 -13.90160 -13.55367 -13.19199 -13.00016 -12.86174 -12.63542 -12.37947 -12.36527 -12.12731 -11.86900 -11.80230 -11.51194 -11.45556 -11.25473 -11.18535 -11.00846 -10.77484 -10.71714 -10.55256 -10.34804 -10.20853 -10.07996 -9.92935 -9.70055 -9.65167 -9.59245 -9.12502 -8.81998 -8.73088 -8.07883 -6.84652 -5.68218 -2.97372 2.95000 3.33365 3.46739 3.52240 3.54197 3.67260 3.98416 4.43315 4.54904 4.62994 4.74029 4.87893 4.94472 5.05494 5.12577 5.14001 5.16735 5.18773 5.33844 5.38288 5.39596 5.44438 5.52782 5.60842 5.62546 5.72758 5.75816 5.82159 5.89781 5.91439 5.95449 5.99747 6.03314 6.09311 6.13028 6.17832 6.27062 6.31475 6.39930 6.46350 6.50037 6.56087 6.70347 6.79968 6.88146 6.97764 7.10041 7.74639 7.81836 7.85365 8.49285 8.60704 9.60650 10.18248 10.54834 11.53070 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008597 B = 0.005859 C = 0.004272 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3256.293885 B = 4778.225748 C = 6551.979843 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.026 3.974 2 O -0.375 6.375 3 C 0.075 3.925 4 C -0.074 4.074 5 C 0.527 3.473 6 O -0.536 6.536 7 N -0.587 5.587 8 C 0.066 3.934 9 C 0.159 3.841 10 H 0.101 0.899 11 C 0.145 3.855 12 N -0.725 5.725 13 C -0.242 4.242 14 H 0.067 0.933 15 C -0.009 4.009 16 N -0.922 5.922 17 Si 0.903 3.097 18 H -0.291 1.291 19 H -0.292 1.292 20 H -0.284 1.284 21 C -0.156 4.156 22 C -0.175 4.175 23 C -0.182 4.182 24 C -0.145 4.145 25 C 0.057 3.943 26 O -0.386 6.386 27 C 0.049 3.951 28 C -0.124 4.124 29 H 0.038 0.962 30 H 0.087 0.913 31 H 0.039 0.961 32 H 0.052 0.948 33 H 0.058 0.942 34 H 0.054 0.946 35 H 0.104 0.896 36 H 0.064 0.936 37 H 0.025 0.975 38 H 0.025 0.975 39 H 0.386 0.614 40 H 0.255 0.745 41 H 0.100 0.900 42 H 0.097 0.903 43 H 0.090 0.910 44 H 0.107 0.893 45 H 0.088 0.912 46 H 0.105 0.895 47 H 0.074 0.926 48 H 0.091 0.909 49 H 0.083 0.917 50 H 0.083 0.917 51 H 0.084 0.916 52 H 0.072 0.928 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.473 6.865 -2.189 18.900 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 -0.070 4.070 2 O -0.294 6.294 3 C -0.002 4.002 4 C -0.078 4.078 5 C 0.314 3.686 6 O -0.414 6.414 7 N -0.318 5.318 8 C -0.076 4.076 9 C 0.055 3.945 10 H 0.119 0.881 11 C 0.016 3.984 12 N -0.370 5.370 13 C -0.373 4.373 14 H 0.085 0.915 15 C -0.205 4.205 16 N -0.570 5.570 17 Si 0.734 3.266 18 H -0.219 1.219 19 H -0.219 1.219 20 H -0.210 1.210 21 C -0.175 4.175 22 C -0.212 4.212 23 C -0.219 4.219 24 C -0.182 4.182 25 C -0.020 4.020 26 O -0.305 6.305 27 C -0.027 4.027 28 C -0.163 4.163 29 H 0.057 0.943 30 H 0.105 0.895 31 H 0.058 0.942 32 H 0.070 0.930 33 H 0.076 0.924 34 H 0.072 0.928 35 H 0.122 0.878 36 H 0.082 0.918 37 H 0.043 0.957 38 H 0.043 0.957 39 H 0.221 0.779 40 H 0.065 0.935 41 H 0.118 0.882 42 H 0.115 0.885 43 H 0.108 0.892 44 H 0.125 0.875 45 H 0.106 0.894 46 H 0.122 0.878 47 H 0.092 0.908 48 H 0.110 0.890 49 H 0.102 0.898 50 H 0.101 0.899 51 H 0.102 0.898 52 H 0.091 0.909 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -16.731 6.949 -2.123 18.240 hybrid contribution 0.045 -0.491 0.191 0.529 sum -16.686 6.458 -1.932 17.996 Atomic orbital electron populations 1.22718 0.81737 1.02807 0.99758 1.88186 1.19125 1.27058 1.95052 1.22442 0.91949 0.85193 1.00636 1.20912 0.93939 0.99339 0.93584 1.20237 0.81417 0.80480 0.86448 1.90623 1.31028 1.38895 1.80813 1.47603 1.44987 1.31958 1.07262 1.22725 0.91438 0.90532 1.02868 1.20832 0.93771 1.00442 0.79423 0.88136 1.21082 0.90609 0.92831 0.93858 1.42287 1.34320 1.28555 1.31862 1.19152 1.08935 1.00098 1.09123 0.91517 1.24691 0.99237 0.98675 0.97914 1.69627 1.32411 1.37950 1.17049 0.86264 0.79920 0.83094 0.77282 1.21900 1.21870 1.21023 1.22576 1.00154 1.03907 0.90886 1.22940 1.02380 0.99391 0.96530 1.23168 1.01200 0.94062 1.03440 1.22566 0.98330 0.95728 1.01608 1.22760 0.91127 0.88881 0.99223 1.87844 1.77373 1.14027 1.51267 1.22784 0.92966 0.85860 1.01119 1.22025 0.98285 0.96912 0.99030 0.94291 0.89484 0.94208 0.93002 0.92355 0.92771 0.87825 0.91780 0.95749 0.95729 0.77944 0.93516 0.88210 0.88457 0.89178 0.87525 0.89388 0.87758 0.90764 0.89043 0.89839 0.89912 0.89757 0.90945 0.90736 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 0.03 0.20 10.45 101.05 1.06 1.26 16 2 O -0.38 -4.11 5.25 -35.23 -0.19 -4.29 16 3 C 0.07 0.85 4.70 37.16 0.17 1.03 16 4 C -0.07 -1.09 0.50 -155.47 -0.08 -1.17 16 5 C 0.53 9.32 4.70 -10.98 -0.05 9.26 16 6 O -0.54 -11.18 13.00 5.55 0.07 -11.10 16 7 N -0.59 -9.75 2.24 -173.93 -0.39 -10.14 16 8 C 0.07 0.95 7.63 59.84 0.46 1.41 16 9 C 0.16 2.76 2.55 -67.93 -0.17 2.59 16 10 H 0.10 2.02 6.91 -51.92 -0.36 1.66 16 11 C 0.14 2.90 4.10 -4.04 -0.02 2.89 16 12 N -0.73 -18.31 5.43 -59.91 -0.33 -18.64 16 13 C -0.24 -6.71 9.99 -15.06 -0.15 -6.86 16 14 H 0.07 1.81 7.83 -52.49 -0.41 1.40 16 15 C -0.01 -0.24 5.50 -17.43 -0.10 -0.34 16 16 N -0.92 -27.32 13.06 55.49 0.72 -26.60 16 17 Si 0.90 22.48 29.55 -169.99 -5.02 17.46 16 18 H -0.29 -7.21 7.11 56.52 0.40 -6.81 16 19 H -0.29 -7.41 7.11 56.52 0.40 -7.01 16 20 H -0.28 -6.95 7.11 56.52 0.40 -6.55 16 21 C -0.16 -2.12 5.48 -90.58 -0.50 -2.62 16 22 C -0.17 -2.15 10.00 -26.73 -0.27 -2.41 16 23 C -0.18 -2.23 9.50 -26.69 -0.25 -2.49 16 24 C -0.15 -2.30 4.04 -26.50 -0.11 -2.40 16 25 C 0.06 1.11 6.62 37.30 0.25 1.36 16 26 O -0.39 -7.54 10.77 -35.23 -0.38 -7.92 16 27 C 0.05 0.85 6.55 37.21 0.24 1.09 16 28 C -0.12 -1.76 4.41 -26.59 -0.12 -1.88 16 29 H 0.04 0.27 8.14 -51.93 -0.42 -0.16 16 30 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 31 H 0.04 0.29 8.14 -51.93 -0.42 -0.14 16 32 H 0.05 0.59 7.76 -51.93 -0.40 0.19 16 33 H 0.06 0.57 7.73 -51.93 -0.40 0.17 16 34 H 0.05 0.67 5.89 -51.93 -0.31 0.36 16 35 H 0.10 1.57 2.48 -51.93 -0.13 1.44 16 36 H 0.06 0.99 6.53 -51.93 -0.34 0.65 16 37 H 0.02 0.51 7.59 -51.93 -0.39 0.11 16 38 H 0.03 0.49 5.60 -51.93 -0.29 0.20 16 39 H 0.39 10.49 6.49 -40.82 -0.27 10.22 16 40 H 0.25 7.44 8.31 -40.82 -0.34 7.10 16 41 H 0.10 1.29 8.14 -51.93 -0.42 0.86 16 42 H 0.10 1.28 7.98 -51.93 -0.41 0.86 16 43 H 0.09 0.94 8.14 -51.93 -0.42 0.52 16 44 H 0.11 1.45 5.81 -51.93 -0.30 1.15 16 45 H 0.09 0.92 8.14 -51.93 -0.42 0.50 16 46 H 0.10 1.69 4.30 -51.93 -0.22 1.47 16 47 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 48 H 0.09 1.81 8.14 -51.93 -0.42 1.39 16 49 H 0.08 1.99 6.81 -51.93 -0.35 1.64 16 50 H 0.08 1.22 8.14 -51.93 -0.42 0.80 16 51 H 0.08 1.71 5.60 -51.93 -0.29 1.42 16 52 H 0.07 0.89 8.06 -51.93 -0.42 0.47 16 53 H 0.07 0.98 8.10 -51.93 -0.42 0.56 16 LS Contribution 390.43 15.07 5.88 5.88 Total: -1.00 -31.43 390.43 -7.91 -39.34 By element: Atomic # 1 Polarization: 23.95 SS G_CDS: -8.66 Total: 15.29 kcal Atomic # 6 Polarization: 0.35 SS G_CDS: 0.37 Total: 0.72 kcal Atomic # 7 Polarization: -55.39 SS G_CDS: 0.01 Total: -55.38 kcal Atomic # 8 Polarization: -22.82 SS G_CDS: -0.49 Total: -23.31 kcal Atomic # 14 Polarization: 22.48 SS G_CDS: -5.02 Total: 17.46 kcal Total LS contribution 5.88 Total: 5.88 kcal Total: -31.43 -7.91 -39.34 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. ZINC001717731768.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 -12.531 kcal (2) G-P(sol) polarization free energy of solvation -31.427 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -43.958 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.913 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.339 kcal (6) G-S(sol) free energy of system = (1) + (5) -51.870 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.03 seconds