Wall clock time and date at job start Sat Apr 11 2020 06:11:51 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 1.52989 * 1 3 3 C 1.52999 * 109.47344 * 2 1 4 4 H 1.08998 * 109.47697 * 304.99993 * 3 2 1 5 5 C 1.50698 * 109.47384 * 184.99985 * 3 2 1 6 6 O 1.21285 * 120.00195 * 240.00386 * 5 3 2 7 7 N 1.34779 * 120.00054 * 60.00073 * 5 3 2 8 8 C 1.46499 * 120.00333 * 180.02562 * 7 5 3 9 9 C 1.53000 * 109.47243 * 178.27741 * 8 7 5 10 10 C 1.50696 * 115.55052 * 65.14058 * 9 8 7 11 11 H 1.08002 * 120.00280 * 265.40780 * 10 9 8 12 12 C 1.37873 * 120.00011 * 85.40548 * 10 9 8 13 13 N 1.31516 * 120.00250 * 353.55513 * 12 10 9 14 14 Si 1.86803 * 120.00261 * 173.54939 * 12 10 9 15 15 H 1.48497 * 109.46612 * 0.02562 * 14 12 10 16 16 H 1.48499 * 109.46784 * 119.99923 * 14 12 10 17 17 H 1.48491 * 109.47323 * 240.00375 * 14 12 10 18 18 C 1.52999 * 117.49627 * 279.46994 * 9 8 7 19 19 C 1.52996 * 117.49714 * 210.81386 * 9 8 7 20 20 N 1.46504 * 109.46662 * 65.00316 * 3 2 1 21 21 C 1.46496 * 120.00193 * 60.00128 * 20 3 2 22 22 C 1.34773 * 119.99738 * 240.27261 * 20 3 2 23 23 O 1.21510 * 120.00215 * 359.72487 * 22 20 3 24 24 O 1.34641 * 120.00397 * 179.72660 * 22 20 3 25 25 C 1.45186 * 117.00600 * 179.97438 * 24 22 20 26 26 C 1.53009 * 109.47167 * 60.00091 * 25 24 22 27 27 C 1.53001 * 109.47505 * 179.97438 * 25 24 22 28 28 C 1.52999 * 109.47399 * 300.00210 * 25 24 22 29 29 H 1.09006 * 109.47426 * 299.99865 * 1 2 3 30 30 H 1.09004 * 109.47201 * 59.99361 * 1 2 3 31 31 H 1.08996 * 109.47462 * 179.97438 * 1 2 3 32 32 H 1.09006 * 109.47426 * 240.00135 * 2 1 3 33 33 H 1.08995 * 109.47395 * 120.00577 * 2 1 3 34 34 H 0.97004 * 119.99463 * 0.02562 * 7 5 3 35 35 H 1.08999 * 109.46893 * 298.27686 * 8 7 5 36 36 H 1.09002 * 109.47315 * 58.27447 * 8 7 5 37 37 H 0.96996 * 120.00195 * 185.05472 * 13 12 10 38 38 H 1.09005 * 117.49863 * 0.02562 * 18 9 8 39 39 H 1.09005 * 117.50050 * 145.01777 * 18 9 8 40 40 H 1.09005 * 117.50114 * 214.97743 * 19 9 8 41 41 H 1.09008 * 117.50408 * 359.97338 * 19 9 8 42 42 H 1.09006 * 109.47521 * 89.99777 * 21 20 3 43 43 H 1.08999 * 109.47381 * 209.99968 * 21 20 3 44 44 H 1.09003 * 109.47235 * 329.99816 * 21 20 3 45 45 H 1.08994 * 109.46711 * 59.99867 * 26 25 24 46 46 H 1.08996 * 109.47328 * 180.02562 * 26 25 24 47 47 H 1.08997 * 109.46867 * 300.00140 * 26 25 24 48 48 H 1.08997 * 109.47201 * 60.00220 * 27 25 24 49 49 H 1.08998 * 109.47086 * 180.02562 * 27 25 24 50 50 H 1.08999 * 109.46899 * 300.00179 * 27 25 24 51 51 H 1.09003 * 109.47477 * 59.99817 * 28 25 24 52 52 H 1.09004 * 109.47329 * 180.02562 * 28 25 24 53 53 H 1.08997 * 109.46926 * 299.99547 * 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 1.5299 0.0000 0.0000 3 6 2.0399 1.4425 0.0000 4 1 1.6054 1.9816 -0.8418 5 6 3.5418 1.4443 -0.1238 6 8 4.2216 1.9435 0.7478 7 7 4.1297 0.8911 -1.2032 8 6 5.5897 0.8923 -1.3233 9 6 5.9962 0.1706 -2.6097 10 6 5.5669 0.8360 -3.8918 11 1 4.6469 0.5383 -4.3729 12 6 6.3484 1.8248 -4.4506 13 7 7.4004 2.2762 -3.8031 14 14 5.9135 2.5232 -6.1277 15 1 4.6931 1.8514 -6.6422 16 1 5.6613 3.9816 -6.0062 17 1 7.0397 2.2921 -7.0674 18 6 6.0248 -1.3589 -2.5826 19 6 7.3356 -0.5690 -2.6117 20 7 1.6524 2.0974 1.2519 21 6 2.1139 1.5588 2.5337 22 6 0.8668 3.1921 1.2246 23 8 0.4841 3.6389 0.1614 24 8 0.5061 3.7908 2.3753 25 6 -0.3406 4.9655 2.2700 26 6 -1.6504 4.5895 1.5742 27 6 -0.6437 5.5030 3.6701 28 6 0.3792 6.0417 1.4548 29 1 -0.3634 0.5138 0.8900 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5139 0.8899 34 1 3.5860 0.4922 -1.9004 35 1 5.9509 1.9203 -1.3539 36 1 6.0254 0.3795 -0.4658 37 1 7.9075 3.0214 -4.1614 38 1 5.7536 -1.8509 -1.6485 39 1 5.7333 -1.8839 -3.4924 40 1 7.9061 -0.5746 -3.5405 41 1 7.9274 -0.5410 -1.6967 42 1 3.0653 2.0192 2.8000 43 1 1.3762 1.7764 3.3061 44 1 2.2436 0.4798 2.4490 45 1 -2.1632 3.8228 2.1549 46 1 -2.2859 5.4714 1.4947 47 1 -1.4349 4.2064 0.5768 48 1 0.2891 5.7709 4.1663 49 1 -1.2797 6.3846 3.5910 50 1 -1.1567 4.7362 4.2504 51 1 0.5947 5.6587 0.4574 52 1 -0.2563 6.9238 1.3762 53 1 1.3122 6.3097 1.9506 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 ZINC000847006967.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 06:11:51 Heat of formation + Delta-G solvation = -97.698198 kcal Electronic energy + Delta-G solvation = -31696.953358 eV Core-core repulsion = 27569.754587 eV Total energy + Delta-G solvation = -4127.198770 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.63 seconds Orbital eigenvalues (eV) -40.97127 -39.52488 -37.57957 -36.64770 -35.66112 -34.31092 -33.54192 -32.44465 -31.98072 -28.40404 -27.57347 -27.48126 -26.75191 -25.92255 -24.96848 -22.76696 -21.58249 -21.14357 -19.76761 -19.52443 -19.01975 -18.02384 -17.17282 -16.74927 -16.25736 -15.88052 -15.66405 -14.94284 -14.72819 -14.61094 -14.46056 -14.26782 -14.04706 -13.92338 -13.56836 -13.20312 -13.07991 -12.73464 -12.67776 -12.51801 -12.31209 -12.29429 -12.02570 -11.95238 -11.84909 -11.77583 -11.61123 -11.54662 -11.38396 -11.24224 -11.02765 -10.97676 -10.91556 -10.53012 -10.44143 -10.30132 -9.99719 -9.74860 -9.55275 -8.99362 -8.61003 -8.52289 -8.27090 -8.11703 -6.09703 -4.18603 2.05026 2.84607 3.09239 3.25155 3.34388 3.36286 3.72271 3.87125 4.34821 4.58153 4.62159 4.75979 4.77504 4.89461 5.01091 5.15966 5.18999 5.29204 5.29760 5.33208 5.39342 5.41442 5.51117 5.52449 5.58690 5.64793 5.69940 5.73991 5.82386 5.86579 5.91607 5.99333 6.00141 6.14849 6.15737 6.23364 6.29844 6.38684 6.42204 6.44198 6.52092 6.65584 6.84407 7.06222 7.22201 7.35559 7.39907 7.45400 7.80052 8.19759 8.31163 8.36234 8.77862 8.83217 9.48933 10.98065 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013305 B = 0.003001 C = 0.002755 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2103.990245 B = 9326.809475 C =10161.646990 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 -0.130 4.130 3 C 0.137 3.863 4 H 0.129 0.871 5 C 0.495 3.505 6 O -0.546 6.546 7 N -0.697 5.697 8 C 0.165 3.835 9 C 0.028 3.972 10 C -0.502 4.502 11 H 0.061 0.939 12 C 0.074 3.926 13 N -0.874 5.874 14 Si 0.889 3.111 15 H -0.272 1.272 16 H -0.284 1.284 17 H -0.283 1.283 18 C -0.210 4.210 19 C -0.148 4.148 20 N -0.572 5.572 21 C 0.087 3.913 22 C 0.657 3.343 23 O -0.569 6.569 24 O -0.360 6.360 25 C 0.135 3.865 26 C -0.182 4.182 27 C -0.139 4.139 28 C -0.185 4.185 29 H 0.052 0.948 30 H 0.059 0.941 31 H 0.058 0.942 32 H 0.087 0.913 33 H 0.073 0.927 34 H 0.401 0.599 35 H 0.072 0.928 36 H 0.037 0.963 37 H 0.261 0.739 38 H 0.065 0.935 39 H 0.078 0.922 40 H 0.083 0.917 41 H 0.064 0.936 42 H 0.071 0.929 43 H 0.071 0.929 44 H 0.069 0.931 45 H 0.058 0.942 46 H 0.068 0.932 47 H 0.089 0.911 48 H 0.066 0.934 49 H 0.079 0.921 50 H 0.065 0.935 51 H 0.089 0.911 52 H 0.068 0.932 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.408 -0.368 13.063 20.976 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 -0.169 4.169 3 C 0.030 3.970 4 H 0.146 0.854 5 C 0.278 3.722 6 O -0.425 6.425 7 N -0.346 5.346 8 C 0.042 3.958 9 C 0.027 3.973 10 C -0.539 4.539 11 H 0.079 0.921 12 C -0.130 4.130 13 N -0.510 5.510 14 Si 0.717 3.283 15 H -0.196 1.196 16 H -0.210 1.210 17 H -0.209 1.209 18 C -0.247 4.247 19 C -0.186 4.186 20 N -0.311 5.311 21 C -0.056 4.056 22 C 0.412 3.588 23 O -0.459 6.459 24 O -0.274 6.274 25 C 0.098 3.902 26 C -0.240 4.240 27 C -0.197 4.197 28 C -0.242 4.242 29 H 0.071 0.929 30 H 0.078 0.922 31 H 0.077 0.923 32 H 0.106 0.894 33 H 0.092 0.908 34 H 0.235 0.765 35 H 0.090 0.910 36 H 0.056 0.944 37 H 0.071 0.929 38 H 0.083 0.917 39 H 0.097 0.903 40 H 0.102 0.898 41 H 0.083 0.917 42 H 0.089 0.911 43 H 0.089 0.911 44 H 0.088 0.912 45 H 0.077 0.923 46 H 0.087 0.913 47 H 0.107 0.893 48 H 0.086 0.914 49 H 0.097 0.903 50 H 0.084 0.916 51 H 0.108 0.892 52 H 0.087 0.913 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -15.854 0.290 13.357 20.733 hybrid contribution -0.214 0.393 -1.261 1.338 sum -16.068 0.683 12.096 20.124 Atomic orbital electron populations 1.21704 0.94628 1.01690 1.02320 1.21884 0.97192 0.93978 1.03824 1.21088 0.93049 0.95116 0.87707 0.85381 1.20679 0.89608 0.79014 0.82863 1.90655 1.65192 1.45844 1.40779 1.45963 1.09405 1.57880 1.21379 1.21008 0.77168 1.01662 0.96002 1.19028 0.97263 0.87474 0.93527 1.20381 1.07336 1.20773 1.05437 0.92071 1.24985 0.94416 0.96375 0.97221 1.69980 1.17670 1.24804 1.38516 0.86582 0.78425 0.78897 0.84405 1.19635 1.21005 1.20949 1.23024 1.04632 0.97074 1.00004 1.22490 0.90625 1.04816 1.00661 1.46130 1.50277 1.26922 1.07757 1.21767 1.00881 0.99446 0.83457 1.17857 0.78463 0.80082 0.82407 1.90884 1.59120 1.65473 1.30412 1.86298 1.65238 1.42965 1.32947 1.22051 0.89023 0.82243 0.96875 1.22513 0.95813 1.02309 1.03319 1.21844 1.02585 1.01133 0.94090 1.22519 1.00690 0.98102 1.02855 0.92895 0.92174 0.92308 0.89450 0.90823 0.76505 0.90965 0.94423 0.92876 0.91651 0.90325 0.89811 0.91701 0.91084 0.91065 0.91234 0.92332 0.91296 0.89258 0.91445 0.90267 0.91600 0.89227 0.91292 0.92096 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 -1.45 9.80 37.15 0.36 -1.09 16 2 C -0.13 -1.45 5.30 -26.74 -0.14 -1.59 16 3 C 0.14 1.99 2.45 -69.08 -0.17 1.83 16 4 H 0.13 1.98 6.90 -51.93 -0.36 1.62 16 5 C 0.49 9.00 7.05 -10.99 -0.08 8.92 16 6 O -0.55 -11.69 14.73 5.55 0.08 -11.61 16 7 N -0.70 -13.05 5.34 -60.29 -0.32 -13.37 16 8 C 0.16 3.64 5.50 -4.04 -0.02 3.62 16 9 C 0.03 0.64 1.38 -155.66 -0.21 0.42 16 10 C -0.50 -12.73 8.63 -34.44 -0.30 -13.03 16 11 H 0.06 1.53 7.82 -52.49 -0.41 1.11 16 12 C 0.07 1.96 5.39 -17.82 -0.10 1.87 16 13 N -0.87 -24.19 12.91 55.43 0.72 -23.47 16 14 Si 0.89 20.62 29.55 -169.99 -5.02 15.59 16 15 H -0.27 -6.17 7.11 56.52 0.40 -5.77 16 16 H -0.28 -6.68 7.11 56.52 0.40 -6.27 16 17 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 18 C -0.21 -4.20 9.96 -26.70 -0.27 -4.47 16 19 C -0.15 -3.30 9.42 -26.70 -0.25 -3.56 16 20 N -0.57 -8.26 1.99 -181.07 -0.36 -8.62 16 21 C 0.09 1.08 9.25 59.84 0.55 1.63 16 22 C 0.66 10.05 7.70 54.05 0.42 10.47 16 23 O -0.57 -9.67 11.21 -19.28 -0.22 -9.89 16 24 O -0.36 -4.85 8.71 -40.33 -0.35 -5.21 16 25 C 0.13 1.50 1.13 -90.61 -0.10 1.40 16 26 C -0.18 -1.87 8.37 37.16 0.31 -1.56 16 27 C -0.14 -1.12 8.85 37.16 0.33 -0.79 16 28 C -0.18 -2.17 8.37 37.16 0.31 -1.86 16 29 H 0.05 0.56 7.75 -51.93 -0.40 0.16 16 30 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 31 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.09 0.91 7.43 -51.93 -0.39 0.52 16 33 H 0.07 0.78 6.47 -51.93 -0.34 0.44 16 34 H 0.40 6.81 7.73 -40.82 -0.32 6.49 16 35 H 0.07 1.88 8.14 -51.93 -0.42 1.45 16 36 H 0.04 0.82 8.09 -51.93 -0.42 0.40 16 37 H 0.26 6.98 8.32 -40.82 -0.34 6.64 16 38 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 39 H 0.08 1.55 8.14 -51.93 -0.42 1.12 16 40 H 0.08 2.00 8.14 -51.93 -0.42 1.58 16 41 H 0.06 1.38 8.14 -51.92 -0.42 0.96 16 42 H 0.07 1.02 7.21 -51.93 -0.37 0.65 16 43 H 0.07 0.75 7.37 -51.93 -0.38 0.37 16 44 H 0.07 0.75 6.34 -51.93 -0.33 0.42 16 45 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 46 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 47 H 0.09 1.14 5.88 -51.93 -0.31 0.83 16 48 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 49 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 50 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 51 H 0.09 1.31 5.88 -51.93 -0.31 1.01 16 52 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.06 0.72 8.14 -51.93 -0.42 0.30 16 LS Contribution 421.48 15.07 6.35 6.35 Total: -1.00 -30.51 421.48 -7.85 -38.37 By element: Atomic # 1 Polarization: 19.02 SS G_CDS: -9.38 Total: 9.64 kcal Atomic # 6 Polarization: 1.56 SS G_CDS: 0.65 Total: 2.21 kcal Atomic # 7 Polarization: -45.49 SS G_CDS: 0.03 Total: -45.46 kcal Atomic # 8 Polarization: -26.21 SS G_CDS: -0.49 Total: -26.70 kcal Atomic # 14 Polarization: 20.62 SS G_CDS: -5.02 Total: 15.59 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -30.51 -7.85 -38.37 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. ZINC000847006967.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 -59.333 kcal (2) G-P(sol) polarization free energy of solvation -30.511 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.844 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.854 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.365 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.698 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds