Wall clock time and date at job start Sat Apr 11 2020 06:12:06 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 1.53001 * 1 3 3 O 1.42898 * 109.47298 * 2 1 4 4 C 1.42902 * 114.00125 * 180.02562 * 3 2 1 5 5 H 1.08993 * 109.47205 * 29.99361 * 4 3 2 6 6 C 1.50706 * 109.46566 * 269.99509 * 4 3 2 7 7 O 1.21279 * 120.00477 * 344.83786 * 6 4 3 8 8 N 1.34778 * 119.99458 * 164.83315 * 6 4 3 9 9 C 1.47423 * 125.64623 * 184.37592 * 8 6 4 10 10 C 1.54910 * 104.82957 * 155.90884 * 9 8 6 11 11 C 1.55157 * 101.58547 * 37.01035 * 10 9 8 12 12 H 1.08994 * 110.72077 * 83.03592 * 11 10 9 13 13 N 1.46497 * 110.72091 * 206.13580 * 11 10 9 14 14 C 1.46495 * 120.00394 * 58.54226 * 13 11 10 15 15 C 1.36944 * 120.00066 * 238.54462 * 13 11 10 16 16 H 1.08003 * 119.99733 * 341.47640 * 15 13 11 17 17 C 1.38804 * 120.00385 * 161.47581 * 15 13 11 18 18 N 1.31622 * 119.99845 * 342.85011 * 17 15 13 19 19 Si 1.86792 * 120.00306 * 162.84864 * 17 15 13 20 20 H 1.48494 * 109.47534 * 265.02247 * 19 17 15 21 21 H 1.48502 * 109.46869 * 25.02359 * 19 17 15 22 22 H 1.48505 * 109.47410 * 145.02037 * 19 17 15 23 23 C 1.47026 * 125.64811 * 4.42008 * 8 6 4 24 24 C 1.53006 * 109.47144 * 149.99946 * 4 3 2 25 25 C 1.53178 * 109.54362 * 53.89407 * 24 4 3 26 26 C 1.53092 * 109.16145 * 183.15061 * 25 24 4 27 27 O 1.42905 * 109.41147 * 57.60874 * 26 25 24 28 28 C 1.42902 * 114.09852 * 298.83938 * 27 26 25 29 29 C 1.53090 * 109.41441 * 61.16232 * 28 27 26 30 30 H 1.08997 * 109.47041 * 300.00272 * 1 2 3 31 31 H 1.09000 * 109.46786 * 60.00273 * 1 2 3 32 32 H 1.08991 * 109.47088 * 180.02562 * 1 2 3 33 33 H 1.08997 * 109.47041 * 239.99728 * 2 1 3 34 34 H 1.09000 * 109.46786 * 119.99727 * 2 1 3 35 35 H 1.08996 * 110.36784 * 37.07196 * 9 8 6 36 36 H 1.08994 * 110.46027 * 274.78976 * 9 8 6 37 37 H 1.09002 * 111.00645 * 278.93242 * 10 9 8 38 38 H 1.09004 * 111.00027 * 155.08544 * 10 9 8 39 39 H 1.09003 * 109.47332 * 265.61506 * 14 13 11 40 40 H 1.09006 * 109.46851 * 25.61172 * 14 13 11 41 41 H 1.08995 * 109.47493 * 145.60991 * 14 13 11 42 42 H 0.97005 * 119.99965 * 179.97438 * 18 17 15 43 43 H 1.08994 * 109.88592 * 61.60974 * 23 8 6 44 44 H 1.09000 * 109.88035 * 300.43211 * 23 8 6 45 45 H 1.08998 * 109.53781 * 174.16203 * 24 4 3 46 46 H 1.09003 * 109.52115 * 303.05504 * 25 24 4 47 47 H 1.08996 * 109.52395 * 63.24395 * 25 24 4 48 48 H 1.08995 * 109.48142 * 297.62887 * 26 25 24 49 49 H 1.08998 * 109.47845 * 177.58603 * 26 25 24 50 50 H 1.08996 * 109.47993 * 301.17870 * 28 27 26 51 51 H 1.09007 * 109.47905 * 181.14476 * 28 27 26 52 52 H 1.08995 * 109.52122 * 182.48701 * 29 28 27 53 53 H 1.08998 * 109.57749 * 62.32713 * 29 28 27 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 2.0064 1.3472 0.0000 4 6 3.4309 1.4601 -0.0006 5 1 3.8632 0.6016 -0.5146 6 6 3.9322 1.4996 1.4201 7 8 3.1596 1.7139 2.3301 8 7 5.2391 1.2968 1.6794 9 6 5.8469 1.2177 3.0202 10 6 7.1422 0.3920 2.8203 11 6 7.6193 0.8922 1.4312 12 1 8.1761 1.8243 1.5273 13 7 8.4316 -0.1281 0.7639 14 6 7.8676 -1.4532 0.4952 15 6 9.7181 0.1568 0.3911 16 1 10.0412 1.1839 0.3073 17 6 10.6071 -0.8745 0.1212 18 7 10.3438 -2.0957 0.5359 19 14 12.1769 -0.5295 -0.8306 20 1 11.9563 -0.8175 -2.2705 21 1 12.5537 0.8971 -0.6632 22 1 13.2688 -1.3937 -0.3145 23 6 6.2950 1.1186 0.6719 24 6 3.8404 2.7458 -0.7219 25 6 3.1130 3.9391 -0.0947 26 6 3.4679 5.2092 -0.8723 27 8 3.1131 5.0396 -2.2462 28 6 3.7979 3.9678 -2.8977 29 6 3.4563 2.6479 -2.2014 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 1.8933 -0.5139 -0.8899 34 1 1.8933 -0.5138 0.8900 35 1 5.1754 0.7086 3.7116 36 1 6.0859 2.2149 3.3896 37 1 6.9253 -0.6759 2.7977 38 1 7.8762 0.6237 3.5922 39 1 8.1319 -2.1318 1.3062 40 1 6.7825 -1.3784 0.4231 41 1 8.2685 -1.8353 -0.4435 42 1 10.9649 -2.8165 0.3469 43 1 6.3710 2.0122 0.0525 44 1 6.0715 0.2517 0.0501 45 1 4.9177 2.8862 -0.6333 46 1 2.0365 3.7737 -0.1389 47 1 3.4231 4.0496 0.9444 48 1 4.5388 5.3961 -0.7939 49 1 2.9196 6.0547 -0.4570 50 1 4.8731 4.1386 -2.8457 51 1 3.4874 3.9192 -3.9415 52 1 4.0119 1.8350 -2.6689 53 1 2.3870 2.4553 -2.2881 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 ZINC001191585708.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 06:12:06 Heat of formation + Delta-G solvation = -103.862710 kcal Electronic energy + Delta-G solvation = -32279.041528 eV Core-core repulsion = 28151.575444 eV Total energy + Delta-G solvation = -4127.466084 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -40.59403 -39.14340 -38.12055 -36.99578 -34.83927 -34.40880 -31.68982 -31.26712 -31.16548 -30.27560 -27.98798 -27.60773 -26.17241 -24.33897 -23.72787 -23.19452 -22.90463 -21.96335 -20.23323 -19.50800 -19.23625 -17.34388 -17.12642 -16.79118 -16.46819 -16.03749 -15.81316 -15.52650 -15.17774 -14.88077 -14.70632 -14.43259 -14.08094 -13.89480 -13.66485 -13.39903 -13.17936 -12.86504 -12.68692 -12.56755 -12.47482 -12.37855 -12.11500 -11.89843 -11.78756 -11.45212 -11.41057 -11.30113 -11.20495 -11.06420 -10.86066 -10.81947 -10.68304 -10.56663 -10.39209 -10.33493 -10.26946 -9.98186 -9.93235 -9.69692 -9.14299 -8.65858 -8.39966 -6.97262 -5.86574 -3.29126 2.68592 2.98965 3.30882 3.38235 3.39547 3.58864 3.76602 4.31583 4.43102 4.48354 4.63236 4.77500 4.86839 4.93371 4.97985 5.08377 5.10228 5.13232 5.20443 5.25932 5.28907 5.29605 5.37466 5.43241 5.50138 5.51060 5.55709 5.57135 5.61997 5.69704 5.76586 5.79738 5.83091 5.89949 5.95261 5.98263 6.04863 6.10714 6.27636 6.32402 6.45652 6.51978 6.64072 6.77663 6.97377 7.07157 7.22816 7.56743 7.68787 7.70580 8.22520 8.29616 9.08237 9.71589 10.18232 11.19129 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011396 B = 0.003355 C = 0.003006 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2456.405365 B = 8344.698329 C = 9313.289080 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C 0.053 3.947 3 O -0.351 6.351 4 C 0.087 3.913 5 H 0.084 0.916 6 C 0.505 3.495 7 O -0.534 6.534 8 N -0.611 5.611 9 C 0.108 3.892 10 C -0.151 4.151 11 C 0.174 3.826 12 H 0.080 0.920 13 N -0.587 5.587 14 C 0.160 3.840 15 C -0.262 4.262 16 H 0.073 0.927 17 C 0.005 3.995 18 N -0.903 5.903 19 Si 0.905 3.095 20 H -0.288 1.288 21 H -0.279 1.279 22 H -0.291 1.291 23 C 0.074 3.926 24 C -0.081 4.081 25 C -0.145 4.145 26 C 0.062 3.938 27 O -0.384 6.384 28 C 0.062 3.938 29 C -0.148 4.148 30 H 0.064 0.936 31 H 0.062 0.938 32 H 0.069 0.931 33 H 0.049 0.951 34 H 0.048 0.952 35 H 0.069 0.931 36 H 0.063 0.937 37 H 0.074 0.926 38 H 0.078 0.922 39 H 0.030 0.970 40 H -0.001 1.001 41 H 0.047 0.953 42 H 0.254 0.746 43 H 0.063 0.937 44 H 0.073 0.927 45 H 0.090 0.910 46 H 0.084 0.916 47 H 0.072 0.928 48 H 0.049 0.951 49 H 0.093 0.907 50 H 0.052 0.948 51 H 0.094 0.906 52 H 0.075 0.925 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.871 7.574 -3.500 17.052 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 -0.204 4.204 2 C -0.023 4.023 3 O -0.268 6.268 4 C 0.025 3.975 5 H 0.101 0.899 6 C 0.293 3.707 7 O -0.411 6.411 8 N -0.347 5.347 9 C -0.015 4.015 10 C -0.192 4.192 11 C 0.063 3.937 12 H 0.098 0.902 13 N -0.307 5.307 14 C 0.016 3.984 15 C -0.391 4.391 16 H 0.091 0.909 17 C -0.194 4.194 18 N -0.548 5.548 19 Si 0.735 3.265 20 H -0.215 1.215 21 H -0.204 1.204 22 H -0.218 1.218 23 C -0.051 4.051 24 C -0.100 4.100 25 C -0.183 4.183 26 C -0.015 4.015 27 O -0.303 6.303 28 C -0.015 4.015 29 C -0.186 4.186 30 H 0.083 0.917 31 H 0.081 0.919 32 H 0.088 0.912 33 H 0.067 0.933 34 H 0.067 0.933 35 H 0.087 0.913 36 H 0.081 0.919 37 H 0.093 0.907 38 H 0.097 0.903 39 H 0.048 0.952 40 H 0.018 0.982 41 H 0.066 0.934 42 H 0.064 0.936 43 H 0.081 0.919 44 H 0.091 0.909 45 H 0.108 0.892 46 H 0.103 0.897 47 H 0.091 0.909 48 H 0.068 0.932 49 H 0.111 0.889 50 H 0.070 0.930 51 H 0.112 0.888 52 H 0.093 0.907 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -15.514 7.790 -3.174 17.647 hybrid contribution 1.400 -0.599 -0.212 1.537 sum -14.114 7.191 -3.386 16.198 Atomic orbital electron populations 1.21693 0.93462 1.02140 1.03126 1.22576 0.95894 0.83752 1.00090 1.87976 1.18144 1.26337 1.94387 1.21936 0.83306 0.99875 0.92380 0.89873 1.20923 0.80879 0.77062 0.91869 1.90678 1.54861 1.48615 1.46973 1.48595 1.06472 1.70577 1.09012 1.22227 0.94890 1.00034 0.84360 1.23403 0.94993 1.00265 1.00520 1.21263 0.89282 0.93845 0.89275 0.90170 1.43931 1.10850 1.09565 1.66390 1.20798 0.91053 0.85930 1.00607 1.19252 0.86777 0.92593 1.40525 0.90940 1.24916 0.97903 0.95921 1.00665 1.70114 1.37282 1.00374 1.47006 0.86236 0.82764 0.77577 0.79961 1.21469 1.20378 1.21784 1.22954 0.89266 1.00929 0.91933 1.21312 1.00708 0.92963 0.94995 1.22132 1.02578 0.93951 0.99597 1.22596 0.99688 0.97525 0.81703 1.87916 1.66787 1.51877 1.23693 1.22564 0.96373 0.85985 0.96584 1.22217 1.03443 0.98604 0.94333 0.91693 0.91911 0.91177 0.93281 0.93332 0.91299 0.91852 0.90719 0.90302 0.95177 0.98221 0.93444 0.93625 0.91864 0.90901 0.89178 0.89690 0.90916 0.93245 0.88890 0.93015 0.88799 0.90668 0.90047 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.40 10.28 37.16 0.38 -1.01 16 2 C 0.05 0.61 6.46 37.16 0.24 0.85 16 3 O -0.35 -4.74 8.12 -54.67 -0.44 -5.19 16 4 C 0.09 1.14 1.59 -27.88 -0.04 1.09 16 5 H 0.08 1.02 7.36 -51.93 -0.38 0.64 16 6 C 0.51 7.99 6.20 -10.98 -0.07 7.93 16 7 O -0.53 -10.12 16.86 -13.88 -0.23 -10.36 16 8 N -0.61 -9.38 3.33 -170.52 -0.57 -9.95 16 9 C 0.11 1.62 6.89 -2.53 -0.02 1.60 16 10 C -0.15 -2.51 6.65 -24.58 -0.16 -2.68 16 11 C 0.17 3.15 3.45 -66.10 -0.23 2.92 16 12 H 0.08 1.44 7.90 -51.93 -0.41 1.03 16 13 N -0.59 -13.26 2.94 -171.39 -0.50 -13.77 16 14 C 0.16 3.62 7.69 59.84 0.46 4.08 16 15 C -0.26 -6.65 9.65 -15.06 -0.15 -6.79 16 16 H 0.07 1.79 7.83 -52.48 -0.41 1.38 16 17 C 0.00 0.12 5.02 -17.43 -0.09 0.04 16 18 N -0.90 -24.93 10.70 55.49 0.59 -24.33 16 19 Si 0.90 20.70 29.59 -169.99 -5.03 15.67 16 20 H -0.29 -6.60 7.11 56.52 0.40 -6.20 16 21 H -0.28 -6.22 7.11 56.52 0.40 -5.81 16 22 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 23 C 0.07 1.14 5.63 -3.06 -0.02 1.12 16 24 C -0.08 -0.94 2.03 -90.43 -0.18 -1.12 16 25 C -0.14 -1.74 5.03 -26.59 -0.13 -1.87 16 26 C 0.06 0.66 6.84 37.21 0.25 0.91 16 27 O -0.38 -4.53 10.77 -35.23 -0.38 -4.91 16 28 C 0.06 0.60 6.84 37.20 0.25 0.86 16 29 C -0.15 -1.49 5.35 -26.59 -0.14 -1.64 16 30 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 31 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 32 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 33 H 0.05 0.49 8.08 -51.93 -0.42 0.07 16 34 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 35 H 0.07 1.06 8.08 -51.93 -0.42 0.64 16 36 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 37 H 0.07 1.36 7.28 -51.93 -0.38 0.98 16 38 H 0.08 1.28 8.14 -51.93 -0.42 0.85 16 39 H 0.03 0.75 7.48 -51.93 -0.39 0.36 16 40 H 0.00 -0.01 6.25 -51.93 -0.32 -0.34 16 41 H 0.05 1.17 7.10 -51.93 -0.37 0.80 16 42 H 0.25 6.83 8.31 -40.82 -0.34 6.49 16 43 H 0.06 0.89 6.23 -51.93 -0.32 0.57 16 44 H 0.07 1.17 5.83 -51.93 -0.30 0.87 16 45 H 0.09 1.05 5.85 -51.93 -0.30 0.74 16 46 H 0.08 1.13 7.44 -51.93 -0.39 0.74 16 47 H 0.07 0.96 7.53 -51.93 -0.39 0.57 16 48 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 49 H 0.09 0.87 8.14 -51.93 -0.42 0.45 16 50 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 51 H 0.09 0.77 8.14 -51.93 -0.42 0.35 16 52 H 0.07 0.68 8.14 -51.93 -0.42 0.25 16 53 H 0.08 0.88 7.77 -51.93 -0.40 0.47 16 LS Contribution 405.12 15.07 6.11 6.11 Total: -1.00 -30.16 405.12 -9.50 -39.66 By element: Atomic # 1 Polarization: 10.18 SS G_CDS: -9.40 Total: 0.78 kcal Atomic # 6 Polarization: 5.93 SS G_CDS: 0.36 Total: 6.29 kcal Atomic # 7 Polarization: -47.57 SS G_CDS: -0.48 Total: -48.05 kcal Atomic # 8 Polarization: -19.40 SS G_CDS: -1.06 Total: -20.46 kcal Atomic # 14 Polarization: 20.70 SS G_CDS: -5.03 Total: 15.67 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -30.16 -9.50 -39.66 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. ZINC001191585708.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 -64.206 kcal (2) G-P(sol) polarization free energy of solvation -30.159 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.365 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.498 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.657 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.863 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds