Wall clock time and date at job start Sat Apr 11 2020 06:11:54 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 1.53008 * 1 3 3 C 1.52995 * 109.46674 * 2 1 4 4 H 1.08998 * 109.47965 * 56.92630 * 3 2 1 5 5 C 1.50699 * 109.47134 * 176.92366 * 3 2 1 6 6 O 1.21289 * 120.00022 * 108.35484 * 5 3 2 7 7 N 1.34776 * 120.00256 * 288.36146 * 5 3 2 8 8 C 1.46503 * 120.00228 * 185.07966 * 7 5 3 9 9 C 1.52993 * 109.47154 * 174.78289 * 8 7 5 10 10 C 1.50702 * 115.55072 * 303.28132 * 9 8 7 11 11 H 1.08001 * 120.00309 * 89.28789 * 10 9 8 12 12 C 1.37880 * 119.99633 * 269.28685 * 10 9 8 13 13 N 1.31507 * 120.00255 * 6.78850 * 12 10 9 14 14 Si 1.86802 * 119.99623 * 186.78383 * 12 10 9 15 15 H 1.48498 * 109.47125 * 60.00514 * 14 12 10 16 16 H 1.48503 * 109.46870 * 179.97438 * 14 12 10 17 17 H 1.48501 * 109.47614 * 300.00322 * 14 12 10 18 18 C 1.52999 * 117.50138 * 157.60835 * 9 8 7 19 19 C 1.53002 * 117.49856 * 88.95138 * 9 8 7 20 20 N 1.46502 * 109.47389 * 296.92041 * 3 2 1 21 21 C 1.46500 * 120.00306 * 300.00578 * 20 3 2 22 22 C 1.34788 * 119.99840 * 120.00044 * 20 3 2 23 23 O 1.21507 * 119.99767 * 0.02562 * 22 20 3 24 24 O 1.34630 * 119.99980 * 180.02562 * 22 20 3 25 25 C 1.45200 * 117.00083 * 180.02562 * 24 22 20 26 26 C 1.52995 * 109.47494 * 59.99640 * 25 24 22 27 27 C 1.53006 * 109.47111 * 179.97438 * 25 24 22 28 28 C 1.52998 * 109.46791 * 299.99611 * 25 24 22 29 29 H 1.09001 * 109.46572 * 180.02562 * 1 2 3 30 30 H 1.08996 * 109.46914 * 300.00238 * 1 2 3 31 31 H 1.09000 * 109.46813 * 60.00448 * 1 2 3 32 32 H 1.08996 * 109.46914 * 239.99762 * 2 1 3 33 33 H 1.09000 * 109.46813 * 119.99552 * 2 1 3 34 34 H 0.97003 * 119.99658 * 5.35285 * 7 5 3 35 35 H 1.08996 * 109.46864 * 294.78706 * 8 7 5 36 36 H 1.09005 * 109.46820 * 54.78134 * 8 7 5 37 37 H 0.97007 * 120.00020 * 185.00127 * 13 12 10 38 38 H 1.09004 * 117.49393 * 0.02562 * 18 9 8 39 39 H 1.09004 * 117.50213 * 145.01920 * 18 9 8 40 40 H 1.09002 * 117.49509 * 214.97990 * 19 9 8 41 41 H 1.09001 * 117.50019 * 359.97311 * 19 9 8 42 42 H 1.08997 * 109.46831 * 89.99778 * 21 20 3 43 43 H 1.08998 * 109.46847 * 209.99606 * 21 20 3 44 44 H 1.09001 * 109.46808 * 329.99636 * 21 20 3 45 45 H 1.09007 * 109.47021 * 59.99658 * 26 25 24 46 46 H 1.09001 * 109.47397 * 180.02562 * 26 25 24 47 47 H 1.09003 * 109.47168 * 300.00596 * 26 25 24 48 48 H 1.09001 * 109.46921 * 59.99453 * 27 25 24 49 49 H 1.09001 * 109.46979 * 179.97438 * 27 25 24 50 50 H 1.08997 * 109.47003 * 299.99499 * 27 25 24 51 51 H 1.09001 * 109.47256 * 59.99993 * 28 25 24 52 52 H 1.09001 * 109.47020 * 179.97438 * 28 25 24 53 53 H 1.09009 * 109.47145 * 299.99797 * 28 25 24 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.6324 1.9721 0.8611 5 6 3.5450 1.4433 0.0762 6 8 4.2013 1.7565 -0.8945 7 7 4.1619 1.0959 1.2231 8 6 5.6189 1.2031 1.3328 9 6 6.0480 0.8751 2.7642 10 6 5.4154 1.7177 3.8417 11 1 4.4816 1.4105 4.2890 12 6 6.0288 2.8808 4.2564 13 7 7.0923 3.3252 3.6232 14 14 5.3490 3.8253 5.7176 15 1 5.3733 2.9577 6.9225 16 1 6.1826 5.0303 5.9592 17 1 3.9513 4.2385 5.4333 18 6 7.4917 0.4175 2.9816 19 6 6.3442 -0.5891 3.0949 20 7 1.6131 2.1114 -1.2315 21 6 2.0337 1.5873 -2.5334 22 6 0.8334 3.2089 -1.1669 23 8 0.4849 3.6438 -0.0871 24 8 0.4407 3.8233 -2.2986 25 6 -0.3975 5.0000 -2.1531 26 6 0.3512 6.0631 -1.3468 27 6 -0.7393 5.5569 -3.5367 28 6 -1.6871 4.6204 -1.4228 29 1 -0.3632 -1.0277 0.0005 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 1.8934 -0.5139 -0.8899 33 1 1.8934 -0.5138 0.8900 34 1 3.6415 0.7710 1.9745 35 1 6.0877 0.5014 0.6430 36 1 5.9281 2.2184 1.0843 37 1 7.5666 4.1024 3.9580 38 1 8.1359 0.3506 2.1048 39 1 7.9839 0.7256 3.9041 40 1 6.0818 -0.9428 4.0920 41 1 6.2328 -1.3187 2.2929 42 1 1.2997 0.8638 -2.8880 43 1 2.1101 2.4072 -3.2475 44 1 3.0041 1.1012 -2.4330 45 1 1.2702 6.3335 -1.8671 46 1 -0.2781 6.9462 -1.2372 47 1 0.5952 5.6666 -0.3612 48 1 -1.2725 4.7997 -4.1115 49 1 -1.3688 6.4400 -3.4275 50 1 0.1797 5.8275 -4.0566 51 1 -1.4433 4.2239 -0.4372 52 1 -2.3161 5.5038 -1.3132 53 1 -2.2206 3.8630 -1.9973 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 ZINC000847006972.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 06:11:54 Heat of formation + Delta-G solvation = -97.668643 kcal Electronic energy + Delta-G solvation = -31809.238766 eV Core-core repulsion = 27682.041277 eV Total energy + Delta-G solvation = -4127.197489 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.94966 -39.53555 -37.55426 -36.65456 -35.60572 -34.27449 -33.53609 -32.46950 -31.95706 -28.41278 -27.54960 -27.45143 -26.66428 -25.91532 -24.99542 -22.76106 -21.53299 -21.11872 -19.79719 -19.52167 -19.01543 -17.99025 -17.11437 -16.70675 -16.25561 -15.88199 -15.58402 -14.92090 -14.75463 -14.60897 -14.45452 -14.24268 -14.03748 -13.93936 -13.53484 -13.15328 -13.06764 -12.76979 -12.64975 -12.54999 -12.27970 -12.24687 -11.99140 -11.96922 -11.84227 -11.70170 -11.60523 -11.52089 -11.37590 -11.20163 -11.04949 -10.98068 -10.87961 -10.55136 -10.41619 -10.27243 -9.95541 -9.73102 -9.55993 -8.98864 -8.62726 -8.45681 -8.27609 -8.08923 -6.09779 -4.18614 2.07399 2.85912 3.07474 3.28493 3.34124 3.36004 3.75249 3.89303 4.36382 4.60768 4.64744 4.79327 4.81360 4.93636 5.02389 5.17157 5.26778 5.31228 5.32254 5.39627 5.41723 5.45290 5.54419 5.54812 5.60863 5.65945 5.69194 5.76778 5.83735 5.85398 5.95841 6.00517 6.02895 6.16067 6.18203 6.27041 6.30165 6.42934 6.44248 6.47432 6.48635 6.67968 6.82697 7.07986 7.21423 7.37698 7.38949 7.48290 7.79201 8.19697 8.30905 8.38941 8.76942 8.82658 9.49415 10.98316 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011868 B = 0.003295 C = 0.002915 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2358.787580 B = 8494.940531 C = 9603.154380 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.127 4.127 3 C 0.137 3.863 4 H 0.127 0.873 5 C 0.498 3.502 6 O -0.548 6.548 7 N -0.694 5.694 8 C 0.164 3.836 9 C 0.025 3.975 10 C -0.501 4.501 11 H 0.060 0.940 12 C 0.075 3.925 13 N -0.873 5.873 14 Si 0.887 3.113 15 H -0.277 1.277 16 H -0.287 1.287 17 H -0.275 1.275 18 C -0.143 4.143 19 C -0.212 4.212 20 N -0.572 5.572 21 C 0.082 3.918 22 C 0.655 3.345 23 O -0.568 6.568 24 O -0.360 6.360 25 C 0.135 3.865 26 C -0.185 4.185 27 C -0.139 4.139 28 C -0.182 4.182 29 H 0.057 0.943 30 H 0.059 0.941 31 H 0.052 0.948 32 H 0.073 0.927 33 H 0.085 0.915 34 H 0.402 0.598 35 H 0.036 0.964 36 H 0.070 0.930 37 H 0.262 0.738 38 H 0.064 0.936 39 H 0.085 0.915 40 H 0.078 0.922 41 H 0.064 0.936 42 H 0.048 0.952 43 H 0.072 0.928 44 H 0.094 0.906 45 H 0.060 0.940 46 H 0.068 0.932 47 H 0.089 0.911 48 H 0.065 0.935 49 H 0.079 0.921 50 H 0.066 0.934 51 H 0.089 0.911 52 H 0.068 0.932 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.363 -2.447 -12.045 19.674 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 -0.203 4.203 2 C -0.166 4.166 3 C 0.030 3.970 4 H 0.145 0.855 5 C 0.281 3.719 6 O -0.428 6.428 7 N -0.342 5.342 8 C 0.041 3.959 9 C 0.024 3.976 10 C -0.538 4.538 11 H 0.078 0.922 12 C -0.129 4.129 13 N -0.508 5.508 14 Si 0.715 3.285 15 H -0.202 1.202 16 H -0.213 1.213 17 H -0.200 1.200 18 C -0.181 4.181 19 C -0.249 4.249 20 N -0.311 5.311 21 C -0.060 4.060 22 C 0.410 3.590 23 O -0.457 6.457 24 O -0.274 6.274 25 C 0.098 3.902 26 C -0.242 4.242 27 C -0.196 4.196 28 C -0.239 4.239 29 H 0.076 0.924 30 H 0.078 0.922 31 H 0.071 0.929 32 H 0.091 0.909 33 H 0.104 0.896 34 H 0.236 0.764 35 H 0.055 0.945 36 H 0.089 0.911 37 H 0.072 0.928 38 H 0.082 0.918 39 H 0.104 0.896 40 H 0.097 0.903 41 H 0.083 0.917 42 H 0.066 0.934 43 H 0.091 0.909 44 H 0.112 0.888 45 H 0.079 0.921 46 H 0.087 0.913 47 H 0.108 0.892 48 H 0.084 0.916 49 H 0.097 0.903 50 H 0.085 0.915 51 H 0.108 0.892 52 H 0.087 0.913 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges -14.909 -1.798 -12.479 19.525 hybrid contribution -0.364 0.580 1.200 1.382 sum -15.273 -1.218 -11.279 19.025 Atomic orbital electron populations 1.21703 0.94651 1.01632 1.02336 1.21835 0.97165 0.93892 1.03722 1.21054 0.92546 0.95000 0.88354 0.85487 1.20663 0.89531 0.77902 0.83780 1.90619 1.66902 1.49262 1.35968 1.45900 1.09694 1.64360 1.14296 1.21010 0.77408 1.00861 0.96625 1.19025 0.95864 0.90774 0.91916 1.20284 1.08221 1.05676 1.19637 0.92219 1.24953 0.95258 0.96455 0.96236 1.70009 1.18953 1.24288 1.37584 0.86742 0.79245 0.79394 0.83168 1.20215 1.21283 1.20049 1.22428 0.91770 1.02578 1.01302 1.23090 1.07363 0.93885 1.00555 1.46168 1.50401 1.26783 1.07779 1.21873 1.01309 0.99852 0.82964 1.17913 0.78429 0.80137 0.82524 1.90892 1.60114 1.66118 1.28610 1.86298 1.65126 1.42452 1.33562 1.22050 0.89172 0.82176 0.96787 1.22526 1.00563 0.98257 1.02865 1.21845 1.02431 1.01007 0.94356 1.22509 0.96018 1.02323 1.03086 0.92351 0.92194 0.92865 0.90873 0.89611 0.76413 0.94527 0.91149 0.92841 0.91763 0.89646 0.90322 0.91708 0.93389 0.90897 0.88789 0.92103 0.91283 0.89199 0.91600 0.90272 0.91464 0.89249 0.91301 0.92338 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 -1.49 9.78 37.16 0.36 -1.12 16 2 C -0.13 -1.44 5.33 -26.73 -0.14 -1.58 16 3 C 0.14 2.03 2.46 -69.08 -0.17 1.86 16 4 H 0.13 2.02 6.90 -51.93 -0.36 1.66 16 5 C 0.50 9.07 6.97 -10.99 -0.08 9.00 16 6 O -0.55 -11.53 14.06 5.55 0.08 -11.45 16 7 N -0.69 -13.11 5.36 -60.29 -0.32 -13.43 16 8 C 0.16 3.61 5.55 -4.04 -0.02 3.59 16 9 C 0.02 0.57 1.57 -155.66 -0.24 0.33 16 10 C -0.50 -12.72 8.36 -34.44 -0.29 -13.01 16 11 H 0.06 1.48 7.82 -52.49 -0.41 1.07 16 12 C 0.08 2.00 5.36 -17.82 -0.10 1.90 16 13 N -0.87 -24.21 12.68 55.43 0.70 -23.50 16 14 Si 0.89 20.71 29.55 -169.99 -5.02 15.69 16 15 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 16 H -0.29 -6.75 7.11 56.52 0.40 -6.35 16 17 H -0.28 -6.45 7.11 56.52 0.40 -6.05 16 18 C -0.14 -3.21 9.14 -26.70 -0.24 -3.45 16 19 C -0.21 -4.28 9.93 -26.70 -0.27 -4.54 16 20 N -0.57 -8.47 1.99 -181.07 -0.36 -8.83 16 21 C 0.08 1.05 9.01 59.85 0.54 1.59 16 22 C 0.66 10.32 7.70 54.06 0.42 10.73 16 23 O -0.57 -9.94 11.21 -19.28 -0.22 -10.16 16 24 O -0.36 -5.01 8.71 -40.30 -0.35 -5.36 16 25 C 0.13 1.56 1.13 -90.62 -0.10 1.45 16 26 C -0.18 -2.27 8.37 37.15 0.31 -1.96 16 27 C -0.14 -1.17 8.85 37.16 0.33 -0.84 16 28 C -0.18 -1.95 8.37 37.16 0.31 -1.64 16 29 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 30 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 31 H 0.05 0.58 7.69 -51.93 -0.40 0.18 16 32 H 0.07 0.79 7.57 -51.93 -0.39 0.40 16 33 H 0.09 0.89 8.14 -51.93 -0.42 0.47 16 34 H 0.40 6.94 8.21 -40.82 -0.34 6.60 16 35 H 0.04 0.78 8.10 -51.93 -0.42 0.36 16 36 H 0.07 1.81 8.14 -51.93 -0.42 1.39 16 37 H 0.26 7.03 8.32 -40.82 -0.34 6.69 16 38 H 0.06 1.37 8.14 -51.93 -0.42 0.95 16 39 H 0.09 2.06 8.14 -51.93 -0.42 1.64 16 40 H 0.08 1.57 8.14 -51.93 -0.42 1.15 16 41 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 42 H 0.05 0.50 8.14 -51.93 -0.42 0.07 16 43 H 0.07 0.92 7.37 -51.93 -0.38 0.54 16 44 H 0.09 1.34 5.90 -51.93 -0.31 1.03 16 45 H 0.06 0.75 8.14 -51.92 -0.42 0.33 16 46 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 47 H 0.09 1.37 5.88 -51.93 -0.31 1.07 16 48 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 49 H 0.08 0.52 8.14 -51.93 -0.42 0.09 16 50 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 51 H 0.09 1.18 5.88 -51.93 -0.31 0.88 16 52 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 53 H 0.06 0.57 8.14 -51.92 -0.42 0.15 16 LS Contribution 422.69 15.07 6.37 6.37 Total: -1.00 -30.27 422.69 -8.02 -38.28 By element: Atomic # 1 Polarization: 19.60 SS G_CDS: -9.52 Total: 10.08 kcal Atomic # 6 Polarization: 1.69 SS G_CDS: 0.62 Total: 2.31 kcal Atomic # 7 Polarization: -45.79 SS G_CDS: 0.02 Total: -45.77 kcal Atomic # 8 Polarization: -26.48 SS G_CDS: -0.49 Total: -26.97 kcal Atomic # 14 Polarization: 20.71 SS G_CDS: -5.02 Total: 15.69 kcal Total LS contribution 6.37 Total: 6.37 kcal Total: -30.27 -8.02 -38.28 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. ZINC000847006972.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 -59.384 kcal (2) G-P(sol) polarization free energy of solvation -30.266 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.650 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.019 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.284 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.669 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds