Wall clock time and date at job start Sat Apr 11 2020 06:16:21 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 1.42900 * 1 3 3 C 1.42897 * 114.00305 * 2 1 4 4 C 1.52998 * 109.47394 * 179.97438 * 3 2 1 5 5 H 1.09007 * 109.46937 * 53.18022 * 4 3 2 6 6 C 1.53003 * 109.47243 * 173.17869 * 4 3 2 7 7 N 1.46501 * 109.47178 * 185.88346 * 6 4 3 8 8 C 1.34773 * 120.00194 * 185.00899 * 7 6 4 9 9 O 1.21354 * 119.99779 * 359.97438 * 8 7 6 10 10 C 1.49442 * 120.00427 * 179.97438 * 8 7 6 11 11 O 1.21353 * 119.99997 * 6.48393 * 10 8 7 12 12 N 1.34773 * 120.00413 * 186.48124 * 10 8 7 13 13 C 1.46924 * 120.62795 * 6.38303 * 12 10 8 14 14 C 1.52764 * 109.00577 * 233.58188 * 13 12 10 15 15 C 1.53045 * 109.38298 * 305.58596 * 14 13 12 16 16 C 1.50702 * 109.45096 * 181.25489 * 15 14 13 17 17 H 1.07995 * 120.00227 * 239.93896 * 16 15 14 18 18 C 1.37878 * 119.99782 * 59.93788 * 16 15 14 19 19 N 1.31521 * 120.00270 * 359.97438 * 18 16 15 20 20 Si 1.86801 * 119.99775 * 180.02562 * 18 16 15 21 21 H 1.48499 * 109.47408 * 359.97438 * 20 18 16 22 22 H 1.48502 * 109.47075 * 120.00143 * 20 18 16 23 23 H 1.48499 * 109.47073 * 239.99909 * 20 18 16 24 24 C 1.53035 * 109.53685 * 61.23917 * 15 14 13 25 25 C 1.46930 * 120.63408 * 186.65498 * 12 10 8 26 26 C 1.52999 * 109.47671 * 293.18279 * 4 3 2 27 27 C 1.53008 * 109.46613 * 306.51402 * 26 4 3 28 28 C 1.52998 * 109.47223 * 66.51018 * 26 4 3 29 29 H 1.08995 * 109.47159 * 179.97438 * 1 2 3 30 30 H 1.08999 * 109.46505 * 299.99434 * 1 2 3 31 31 H 1.08996 * 109.47024 * 59.99656 * 1 2 3 32 32 H 1.09000 * 109.47494 * 300.00799 * 3 2 1 33 33 H 1.09008 * 109.46972 * 60.00325 * 3 2 1 34 34 H 1.09001 * 109.46910 * 305.88531 * 6 4 3 35 35 H 1.08994 * 109.46836 * 65.88320 * 6 4 3 36 36 H 0.97000 * 119.99754 * 5.00997 * 7 6 4 37 37 H 1.08997 * 109.58779 * 353.40855 * 13 12 10 38 38 H 1.09001 * 109.59044 * 113.84147 * 13 12 10 39 39 H 1.09001 * 109.56711 * 185.55023 * 14 13 12 40 40 H 1.08997 * 109.36567 * 65.49723 * 14 13 12 41 41 H 1.09009 * 109.45942 * 301.21989 * 15 14 13 42 42 H 0.96996 * 120.00009 * 180.02562 * 19 18 16 43 43 H 1.09004 * 109.49795 * 178.68332 * 24 15 14 44 44 H 1.09000 * 109.52335 * 58.60693 * 24 15 14 45 45 H 1.08994 * 109.58728 * 246.16065 * 25 12 10 46 46 H 1.08997 * 109.58339 * 6.44552 * 25 12 10 47 47 H 1.08993 * 109.47356 * 186.51748 * 26 4 3 48 48 H 1.08995 * 109.47175 * 55.62960 * 27 26 4 49 49 H 1.09000 * 109.46558 * 175.62953 * 27 26 4 50 50 H 1.08996 * 109.47147 * 295.62892 * 27 26 4 51 51 H 1.09003 * 109.47020 * 64.05234 * 28 26 4 52 52 H 1.08996 * 109.47390 * 184.04713 * 28 26 4 53 53 H 1.09004 * 109.47417 * 304.05143 * 28 26 4 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 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1846 0.0006 5 1 3.8494 0.5417 -0.8218 6 6 4.1571 2.5721 -0.1707 7 7 5.6096 2.4426 -0.3109 8 6 6.3817 3.5455 -0.3731 9 8 5.8736 4.6459 -0.3134 10 6 7.8634 3.4134 -0.5156 11 8 8.3609 2.3209 -0.6935 12 7 8.6473 4.5075 -0.4467 13 6 8.0779 5.8152 -0.0939 14 6 8.4597 6.8305 -1.1696 15 6 9.9797 6.8339 -1.3483 16 6 10.3606 7.8570 -2.3872 17 1 10.8820 7.5499 -3.2817 18 6 10.0434 9.1850 -2.1956 19 7 9.4080 9.5590 -1.1065 20 14 10.5149 10.4531 -3.4838 21 1 11.2163 9.7808 -4.6068 22 1 9.2899 11.1203 -3.9931 23 1 11.4138 11.4663 -2.8751 24 6 10.4447 5.4485 -1.8025 25 6 10.0864 4.4164 -0.7286 26 6 3.9986 0.5785 1.3269 27 6 3.4212 1.3907 2.4880 28 6 3.5108 -0.8684 1.4244 29 1 -0.3633 -1.0276 -0.0005 30 1 -0.3632 0.5138 0.8901 31 1 -0.3633 0.5139 -0.8899 32 1 1.6886 1.8464 -0.8899 33 1 1.6887 1.8463 0.8901 34 1 3.7468 3.0464 -1.0622 35 1 3.9295 3.1826 0.7031 36 1 6.0157 1.5629 -0.3591 37 1 6.9923 5.7374 -0.0359 38 1 8.4752 6.1393 0.8680 39 1 8.1266 7.8238 -0.8687 40 1 7.9834 6.5563 -2.1108 41 1 10.4562 7.0842 -0.4004 42 1 9.1845 10.4932 -0.9720 43 1 11.5244 5.4580 -1.9521 44 1 9.9502 5.1868 -2.7380 45 1 10.6507 4.6241 0.1805 46 1 10.3259 3.4152 -1.0867 47 1 5.0873 0.5990 1.3752 48 1 2.3361 1.4352 2.3960 49 1 3.6867 0.9144 3.4318 50 1 3.8297 2.4009 2.4632 51 1 3.9787 -1.4632 0.6399 52 1 3.7785 -1.2772 2.3987 53 1 2.4278 -0.8956 1.3041 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 ZINC001336230299.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 06:16:21 Heat of formation + Delta-G solvation = -111.742929 kcal Electronic energy + Delta-G solvation = -30829.291504 eV Core-core repulsion = 26701.483708 eV Total energy + Delta-G solvation = -4127.807796 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 6.30 seconds Orbital eigenvalues (eV) -40.75164 -39.48578 -38.37120 -37.05443 -36.70433 -34.36404 -33.36105 -31.19850 -30.77808 -30.03798 -27.90001 -27.32908 -26.60834 -25.61305 -24.07926 -23.19015 -22.37446 -21.89819 -20.29921 -19.52583 -18.81051 -17.44089 -17.11379 -16.88351 -16.63510 -16.23017 -15.86615 -15.63108 -15.12955 -14.89065 -14.78610 -14.51095 -14.31109 -14.14030 -13.74299 -13.42446 -13.03741 -12.91117 -12.83370 -12.79016 -12.60632 -12.35384 -12.21510 -12.18391 -12.02378 -11.72276 -11.68781 -11.39197 -10.95891 -10.93790 -10.93285 -10.83213 -10.54260 -10.52928 -10.33126 -10.04557 -9.86138 -9.68243 -9.32454 -9.20432 -9.15675 -8.49955 -8.29523 -8.07122 -5.98872 -4.05157 1.61982 2.46610 3.29574 3.30913 3.37853 3.41631 3.43281 3.81970 4.30546 4.38333 4.43812 4.53297 4.58423 4.86039 4.91239 4.97199 4.99905 5.04932 5.08571 5.23663 5.28051 5.29586 5.30945 5.52174 5.54693 5.65607 5.70178 5.74184 5.79000 5.84096 5.90086 5.94598 6.05518 6.10403 6.13394 6.26717 6.34359 6.48966 6.64219 6.72315 6.76350 6.82611 6.99989 7.12947 7.20246 7.34642 7.69125 7.81563 7.92447 7.99042 8.11093 8.26580 8.44552 8.98299 9.59555 11.06584 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020560 B = 0.002174 C = 0.002061 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1361.511031 B =12878.662794 C =13584.857826 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.027 3.973 2 O -0.378 6.378 3 C 0.064 3.936 4 C -0.096 4.096 5 H 0.089 0.911 6 C 0.121 3.879 7 N -0.701 5.701 8 C 0.511 3.489 9 O -0.500 6.500 10 C 0.500 3.500 11 O -0.546 6.546 12 N -0.559 5.559 13 C 0.044 3.956 14 C -0.117 4.117 15 C 0.045 3.955 16 C -0.511 4.511 17 H 0.055 0.945 18 C 0.060 3.940 19 N -0.890 5.890 20 Si 0.890 3.110 21 H -0.274 1.274 22 H -0.284 1.284 23 H -0.285 1.285 24 C -0.123 4.123 25 C 0.107 3.893 26 C -0.090 4.090 27 C -0.154 4.154 28 C -0.156 4.156 29 H 0.085 0.915 30 H 0.041 0.959 31 H 0.041 0.959 32 H 0.053 0.947 33 H 0.061 0.939 34 H 0.073 0.927 35 H 0.081 0.919 36 H 0.412 0.588 37 H 0.141 0.859 38 H 0.056 0.944 39 H 0.104 0.896 40 H 0.036 0.964 41 H 0.027 0.973 42 H 0.260 0.740 43 H 0.063 0.937 44 H 0.052 0.948 45 H 0.066 0.934 46 H 0.080 0.920 47 H 0.071 0.929 48 H 0.058 0.942 49 H 0.055 0.945 50 H 0.056 0.944 51 H 0.049 0.951 52 H 0.045 0.955 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.507 -18.666 6.004 25.631 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 -0.297 6.297 3 C -0.013 4.013 4 C -0.115 4.115 5 H 0.107 0.893 6 C -0.003 4.003 7 N -0.355 5.355 8 C 0.293 3.707 9 O -0.376 6.376 10 C 0.281 3.719 11 O -0.425 6.425 12 N -0.290 5.290 13 C -0.076 4.076 14 C -0.156 4.156 15 C 0.026 3.974 16 C -0.550 4.550 17 H 0.073 0.927 18 C -0.140 4.140 19 N -0.529 5.529 20 Si 0.718 3.282 21 H -0.199 1.199 22 H -0.211 1.211 23 H -0.211 1.211 24 C -0.161 4.161 25 C -0.015 4.015 26 C -0.109 4.109 27 C -0.211 4.211 28 C -0.213 4.213 29 H 0.104 0.896 30 H 0.060 0.940 31 H 0.060 0.940 32 H 0.071 0.929 33 H 0.079 0.921 34 H 0.091 0.909 35 H 0.099 0.901 36 H 0.249 0.751 37 H 0.157 0.843 38 H 0.074 0.926 39 H 0.122 0.878 40 H 0.055 0.945 41 H 0.045 0.955 42 H 0.070 0.930 43 H 0.081 0.919 44 H 0.071 0.929 45 H 0.084 0.916 46 H 0.098 0.902 47 H 0.089 0.911 48 H 0.077 0.923 49 H 0.074 0.926 50 H 0.075 0.925 51 H 0.068 0.932 52 H 0.064 0.936 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -16.558 -18.416 6.045 25.493 hybrid contribution 0.336 0.744 -0.754 1.111 sum -16.222 -17.672 5.291 24.565 Atomic orbital electron populations 1.22764 0.81395 1.02753 1.00083 1.87935 1.19347 1.27444 1.95014 1.22536 0.92676 0.85117 1.00973 1.21438 0.93972 0.96276 0.99789 0.89256 1.21399 0.79298 0.96592 1.02970 1.45723 1.07123 1.09579 1.73084 1.20427 0.88566 0.84545 0.77172 1.90402 1.74382 1.24525 1.48256 1.19823 0.87204 0.85012 0.79815 1.90695 1.75198 1.25892 1.50753 1.48237 1.08910 1.08891 1.63010 1.23407 1.03933 0.81081 0.99176 1.21849 0.99221 0.99093 0.95414 1.18702 0.92163 0.89638 0.96873 1.21229 1.36668 0.91873 1.05191 0.92693 1.24971 0.95129 0.98478 0.95470 1.69860 1.40549 1.16543 1.25942 0.86565 0.78193 0.81564 0.81836 1.19873 1.21060 1.21095 1.22016 1.00427 0.96901 0.96728 1.21888 0.78987 1.00896 0.99691 1.21098 1.00294 0.95993 0.93478 1.21994 1.01058 1.00088 0.97959 1.22101 1.04018 0.94574 1.00620 0.89648 0.94050 0.94029 0.92917 0.92083 0.90853 0.90121 0.75134 0.84283 0.92565 0.87754 0.94488 0.95496 0.93047 0.91874 0.92906 0.91556 0.90198 0.91075 0.92306 0.92564 0.92458 0.93164 0.93552 0.89491 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 0.03 0.14 11.01 101.05 1.11 1.25 16 2 O -0.38 -2.81 7.37 -35.23 -0.26 -3.07 16 3 C 0.06 0.43 4.98 37.16 0.18 0.62 16 4 C -0.10 -0.72 1.99 -90.62 -0.18 -0.90 16 5 H 0.09 0.70 8.14 -51.92 -0.42 0.27 16 6 C 0.12 1.11 4.96 -4.04 -0.02 1.09 16 7 N -0.70 -8.07 5.14 -60.73 -0.31 -8.38 16 8 C 0.51 7.88 7.78 -11.59 -0.09 7.79 16 9 O -0.50 -8.70 13.09 5.49 0.07 -8.63 16 10 C 0.50 8.80 7.75 -11.59 -0.09 8.71 16 11 O -0.55 -10.04 15.94 5.49 0.09 -9.95 16 12 N -0.56 -10.56 2.98 -173.54 -0.52 -11.07 16 13 C 0.04 0.88 6.25 -3.93 -0.02 0.85 16 14 C -0.12 -2.77 5.14 -26.83 -0.14 -2.90 16 15 C 0.04 1.10 2.07 -91.73 -0.19 0.91 16 16 C -0.51 -13.91 8.56 -34.44 -0.29 -14.20 16 17 H 0.05 1.49 7.74 -52.49 -0.41 1.08 16 18 C 0.06 1.66 5.30 -17.82 -0.09 1.56 16 19 N -0.89 -25.05 11.30 55.43 0.63 -24.42 16 20 Si 0.89 21.24 29.54 -169.99 -5.02 16.21 16 21 H -0.27 -6.48 7.11 56.52 0.40 -6.07 16 22 H -0.28 -6.77 7.11 56.52 0.40 -6.36 16 23 H -0.28 -6.76 7.11 56.52 0.40 -6.35 16 24 C -0.12 -2.54 5.30 -26.61 -0.14 -2.69 16 25 C 0.11 1.97 6.42 -3.71 -0.02 1.95 16 26 C -0.09 -0.70 2.63 -90.62 -0.24 -0.93 16 27 C -0.15 -1.14 8.51 37.16 0.32 -0.82 16 28 C -0.16 -1.20 8.79 37.16 0.33 -0.88 16 29 H 0.08 0.35 8.14 -51.93 -0.42 -0.07 16 30 H 0.04 0.18 8.14 -51.93 -0.42 -0.24 16 31 H 0.04 0.19 8.14 -51.93 -0.42 -0.23 16 32 H 0.05 0.33 8.13 -51.93 -0.42 -0.09 16 33 H 0.06 0.38 5.84 -51.92 -0.30 0.07 16 34 H 0.07 0.69 8.13 -51.93 -0.42 0.27 16 35 H 0.08 0.76 6.46 -51.93 -0.34 0.43 16 36 H 0.41 4.33 7.39 -40.82 -0.30 4.03 16 37 H 0.14 2.75 3.76 -56.84 -0.21 2.54 16 38 H 0.06 1.11 8.14 -51.93 -0.42 0.69 16 39 H 0.10 2.74 6.03 -51.93 -0.31 2.42 16 40 H 0.04 0.90 8.14 -51.93 -0.42 0.47 16 41 H 0.03 0.71 8.14 -51.92 -0.42 0.29 16 42 H 0.26 6.98 8.31 -40.82 -0.34 6.64 16 43 H 0.06 1.24 8.14 -51.93 -0.42 0.82 16 44 H 0.05 1.13 8.14 -51.93 -0.42 0.70 16 45 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 46 H 0.08 1.40 7.05 -51.93 -0.37 1.04 16 47 H 0.07 0.60 7.22 -51.93 -0.37 0.23 16 48 H 0.06 0.39 5.92 -51.93 -0.31 0.09 16 49 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 50 H 0.06 0.46 6.70 -51.93 -0.35 0.11 16 51 H 0.05 0.40 8.14 -51.93 -0.42 -0.03 16 52 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 53 H 0.09 0.70 5.07 -51.93 -0.26 0.43 16 LS Contribution 403.68 15.07 6.08 6.08 Total: -1.00 -30.20 403.68 -7.83 -38.03 By element: Atomic # 1 Polarization: 12.81 SS G_CDS: -9.01 Total: 3.80 kcal Atomic # 6 Polarization: 0.99 SS G_CDS: 0.42 Total: 1.40 kcal Atomic # 7 Polarization: -43.68 SS G_CDS: -0.20 Total: -43.88 kcal Atomic # 8 Polarization: -21.55 SS G_CDS: -0.10 Total: -21.65 kcal Atomic # 14 Polarization: 21.24 SS G_CDS: -5.02 Total: 16.21 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -30.20 -7.83 -38.03 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. ZINC001336230299.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 -73.713 kcal (2) G-P(sol) polarization free energy of solvation -30.198 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.910 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.833 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.030 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.743 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 6.30 seconds