Wall clock time and date at job start Sat Apr 11 2020 06:09:19 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 1.45204 * 1 3 3 C 1.34234 * 117.00012 * 2 1 4 4 O 1.20827 * 119.99766 * 359.97438 * 3 2 1 5 5 C 1.50692 * 120.00169 * 180.02562 * 3 2 1 6 6 C 1.52997 * 109.47373 * 180.02562 * 5 3 2 7 7 N 1.46498 * 109.47431 * 179.97438 * 6 5 3 8 8 C 1.36940 * 120.00212 * 269.99855 * 7 6 5 9 9 H 1.08002 * 119.99781 * 334.86639 * 8 7 6 10 10 C 1.38807 * 120.00089 * 154.86221 * 8 7 6 11 11 N 1.31618 * 120.00044 * 0.25340 * 10 8 7 12 12 Si 1.86796 * 120.00009 * 180.25414 * 10 8 7 13 13 H 1.48495 * 109.47219 * 0.02562 * 12 10 8 14 14 H 1.48502 * 109.47185 * 120.00062 * 12 10 8 15 15 H 1.48507 * 109.47170 * 240.00022 * 12 10 8 16 16 C 1.46503 * 119.99997 * 89.99752 * 7 6 5 17 17 C 1.50699 * 109.47176 * 274.21656 * 16 7 6 18 18 O 1.21284 * 119.99900 * 359.97438 * 17 16 7 19 19 N 1.34777 * 119.99918 * 180.02562 * 17 16 7 20 20 C 1.46490 * 120.00013 * 359.97438 * 19 17 16 21 21 C 1.53006 * 109.47130 * 120.00078 * 20 19 17 22 22 C 1.52998 * 109.47239 * 240.00289 * 20 19 17 23 23 C 1.46504 * 119.99600 * 179.97438 * 19 17 16 24 24 C 1.54966 * 110.92541 * 306.53717 * 23 19 17 25 25 C 1.54269 * 104.15703 * 156.29687 * 24 23 19 26 26 C 1.53869 * 106.64199 * 336.44649 * 25 24 23 27 27 C 1.54265 * 106.59943 * 359.97438 * 26 25 24 28 28 H 1.08994 * 109.46988 * 59.99700 * 1 2 3 29 29 H 1.08997 * 109.46647 * 180.02562 * 1 2 3 30 30 H 1.09002 * 109.47047 * 300.00030 * 1 2 3 31 31 H 1.09000 * 109.47612 * 59.99941 * 5 3 2 32 32 H 1.09006 * 109.46995 * 299.99858 * 5 3 2 33 33 H 1.09004 * 109.47311 * 59.99655 * 6 5 3 34 34 H 1.08997 * 109.46775 * 300.00059 * 6 5 3 35 35 H 0.97002 * 119.99970 * 180.02562 * 11 10 8 36 36 H 1.09001 * 109.47292 * 154.21240 * 16 7 6 37 37 H 1.09000 * 109.47085 * 34.21240 * 16 7 6 38 38 H 1.09003 * 109.47504 * 0.02562 * 20 19 17 39 39 H 1.09004 * 109.46659 * 60.00398 * 21 20 19 40 40 H 1.09000 * 109.46853 * 179.97438 * 21 20 19 41 41 H 1.08997 * 109.47113 * 300.00029 * 21 20 19 42 42 H 1.08994 * 109.47707 * 59.99720 * 22 20 19 43 43 H 1.08999 * 109.47519 * 180.02562 * 22 20 19 44 44 H 1.09005 * 109.47001 * 299.99525 * 22 20 19 45 45 H 1.09005 * 110.66714 * 183.23322 * 23 19 17 46 46 H 1.09002 * 110.47510 * 37.64461 * 24 23 19 47 47 H 1.08991 * 110.53052 * 274.97800 * 24 23 19 48 48 H 1.08999 * 110.02801 * 217.13799 * 25 24 23 49 49 H 1.09002 * 110.02747 * 95.75729 * 25 24 23 50 50 H 1.09003 * 110.03149 * 119.25829 * 26 25 24 51 51 H 1.08999 * 110.03278 * 240.64447 * 26 25 24 52 52 H 1.09004 * 110.48904 * 142.28567 * 27 26 25 53 53 H 1.09002 * 110.48782 * 264.93303 * 27 26 25 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 1.4520 0.0000 0.0000 3 6 2.0615 1.1960 0.0000 4 8 1.4033 2.2093 -0.0005 5 6 3.5663 1.2749 -0.0006 6 6 4.0001 2.7421 0.0002 7 7 5.4631 2.8188 0.0002 8 6 6.1469 2.8541 1.1862 9 1 5.6634 3.2261 2.0774 10 6 7.4613 2.4117 1.2429 11 7 8.0521 1.9629 0.1557 12 14 8.3918 2.4532 2.8621 13 1 7.5099 2.9968 3.9259 14 1 8.8144 1.0767 3.2256 15 1 9.5906 3.3184 2.7221 16 6 6.1946 2.8578 -1.2685 17 6 6.4293 1.4515 -1.7564 18 8 6.0257 0.5093 -1.1080 19 7 7.0886 1.2406 -2.9129 20 6 7.5766 2.3786 -3.6958 21 6 9.0973 2.2858 -3.8371 22 6 6.9331 2.3562 -5.0837 23 6 7.3172 -0.1266 -3.3869 24 6 8.0018 -0.9845 -2.2929 25 6 7.6265 -2.4349 -2.6609 26 6 6.3372 -2.3578 -3.4971 27 6 5.9726 -0.8629 -3.6081 28 1 -0.3633 0.5139 -0.8899 29 1 -0.3632 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 3.9558 0.7810 -0.8908 32 1 3.9564 0.7806 0.8892 33 1 3.6107 3.2357 0.8906 34 1 3.6100 3.2367 -0.8893 35 1 8.9706 1.6534 0.1954 36 1 7.1529 3.3557 -1.1203 37 1 5.6108 3.4062 -2.0078 38 1 7.3152 3.3074 -3.1887 39 1 9.3590 1.3570 -4.3441 40 1 9.4602 3.1323 -4.4200 41 1 9.5557 2.3018 -2.8484 42 1 5.8498 2.4223 -4.9831 43 1 7.2964 3.2027 -5.6664 44 1 7.1949 1.4275 -5.5907 45 1 7.9105 -0.1226 -4.3013 46 1 7.6123 -0.7278 -1.3078 47 1 9.0831 -0.8508 -2.3233 48 1 7.4503 -3.0160 -1.7557 49 1 8.4251 -2.8899 -3.2469 50 1 6.5101 -2.7746 -4.4893 51 1 5.5355 -2.9022 -2.9982 52 1 5.5739 -0.6399 -4.5978 53 1 5.2549 -0.5869 -2.8356 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 ZINC000879474180.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 06:09:19 Heat of formation + Delta-G solvation = -100.139974 kcal Electronic energy + Delta-G solvation = -33201.454349 eV Core-core repulsion = 29074.149695 eV Total energy + Delta-G solvation = -4127.304654 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -39.95880 -39.47504 -36.86207 -36.11321 -35.56769 -34.86092 -32.01300 -30.68083 -29.97064 -28.18600 -28.13194 -27.24320 -26.81342 -25.84288 -24.22060 -21.73307 -21.06515 -20.64530 -19.80074 -19.74282 -17.78553 -17.22597 -16.61745 -16.40212 -16.10224 -15.88357 -15.38048 -14.93016 -14.72246 -14.05429 -13.85162 -13.71566 -13.48566 -13.31935 -13.14456 -12.95341 -12.74245 -12.65792 -12.29662 -12.23196 -12.01015 -11.92215 -11.80303 -11.36645 -11.14346 -11.05454 -11.02135 -10.87793 -10.78134 -10.70462 -10.56252 -10.51131 -10.48082 -10.40668 -10.23733 -10.12398 -10.00646 -9.87944 -9.83811 -9.68553 -8.73807 -8.05228 -7.56981 -6.80397 -5.83761 -3.26343 2.74148 3.21012 3.37296 3.45462 3.46040 3.90721 4.23845 4.50954 5.11811 5.14189 5.17385 5.24890 5.27826 5.31942 5.33538 5.42413 5.51821 5.54670 5.58577 5.66103 5.76685 5.84529 5.93902 5.96224 6.00156 6.01372 6.05910 6.07998 6.12020 6.14523 6.19726 6.25012 6.36068 6.39561 6.47052 6.48726 6.53802 6.66717 6.71787 6.74451 6.79379 6.80787 6.82920 7.09063 7.20840 7.24270 7.72396 7.75581 8.23839 8.32950 8.63733 9.15554 9.69647 9.85767 10.24592 11.23958 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.007434 B = 0.005666 C = 0.004170 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3765.796535 B = 4940.265593 C = 6712.686624 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.365 6.365 3 C 0.460 3.540 4 O -0.524 6.524 5 C -0.130 4.130 6 C 0.165 3.835 7 N -0.569 5.569 8 C -0.253 4.253 9 H 0.073 0.927 10 C 0.013 3.987 11 N -0.897 5.897 12 Si 0.908 3.092 13 H -0.280 1.280 14 H -0.291 1.291 15 H -0.292 1.292 16 C 0.163 3.837 17 C 0.540 3.460 18 O -0.524 6.524 19 N -0.615 5.615 20 C 0.139 3.861 21 C -0.158 4.158 22 C -0.161 4.161 23 C 0.156 3.844 24 C -0.137 4.137 25 C -0.118 4.118 26 C -0.116 4.116 27 C -0.134 4.134 28 H 0.057 0.943 29 H 0.093 0.907 30 H 0.057 0.943 31 H 0.112 0.888 32 H 0.103 0.897 33 H 0.054 0.946 34 H 0.043 0.957 35 H 0.254 0.746 36 H 0.111 0.889 37 H 0.026 0.974 38 H 0.091 0.909 39 H 0.048 0.952 40 H 0.053 0.947 41 H 0.067 0.933 42 H 0.055 0.945 43 H 0.058 0.942 44 H 0.052 0.948 45 H 0.071 0.929 46 H 0.110 0.890 47 H 0.048 0.952 48 H 0.057 0.943 49 H 0.049 0.951 50 H 0.052 0.948 51 H 0.058 0.942 52 H 0.050 0.950 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.130 -3.204 -10.145 11.090 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 -0.060 4.060 2 O -0.282 6.282 3 C 0.304 3.696 4 O -0.413 6.413 5 C -0.170 4.170 6 C 0.038 3.962 7 N -0.288 5.288 8 C -0.382 4.382 9 H 0.091 0.909 10 C -0.185 4.185 11 N -0.542 5.542 12 Si 0.739 3.261 13 H -0.205 1.205 14 H -0.218 1.218 15 H -0.219 1.219 16 C 0.033 3.967 17 C 0.329 3.671 18 O -0.399 6.399 19 N -0.351 5.351 20 C 0.034 3.966 21 C -0.217 4.217 22 C -0.219 4.219 23 C 0.051 3.949 24 C -0.175 4.175 25 C -0.156 4.156 26 C -0.154 4.154 27 C -0.172 4.172 28 H 0.076 0.924 29 H 0.112 0.888 30 H 0.076 0.924 31 H 0.130 0.870 32 H 0.121 0.879 33 H 0.073 0.927 34 H 0.062 0.938 35 H 0.065 0.935 36 H 0.129 0.871 37 H 0.044 0.956 38 H 0.109 0.891 39 H 0.067 0.933 40 H 0.072 0.928 41 H 0.086 0.914 42 H 0.074 0.926 43 H 0.077 0.923 44 H 0.071 0.929 45 H 0.089 0.911 46 H 0.128 0.872 47 H 0.067 0.933 48 H 0.076 0.924 49 H 0.068 0.932 50 H 0.070 0.930 51 H 0.076 0.924 52 H 0.069 0.931 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges -3.411 -3.415 -9.732 10.863 hybrid contribution 0.613 -0.394 0.719 1.024 sum -2.799 -3.809 -9.013 10.177 Atomic orbital electron populations 1.23133 0.78026 1.02871 1.02000 1.86626 1.22280 1.34905 1.84392 1.24972 0.93242 0.80573 0.70803 1.90584 1.67734 1.36420 1.46566 1.22656 0.83050 1.04440 1.06902 1.20738 0.84794 0.90714 0.99979 1.43824 0.99503 1.83247 1.02214 1.19261 0.95073 1.35744 0.88096 0.90908 1.24981 0.98224 0.98226 0.97052 1.69634 1.12522 1.46127 1.25931 0.86135 0.79447 0.77101 0.83458 1.20510 1.21792 1.21903 1.20718 0.98199 0.91786 0.85948 1.21750 0.74621 0.93796 0.76929 1.90397 1.51009 1.44499 1.54036 1.48138 1.59157 1.04017 1.23738 1.20907 0.93376 0.90791 0.91541 1.22142 0.96161 1.00797 1.02563 1.22207 1.01096 1.01452 0.97172 1.21635 0.94887 0.82468 0.95890 1.22793 0.98899 0.92784 1.03026 1.22014 0.96587 0.97928 0.99117 1.21978 0.97702 0.96807 0.98901 1.22706 0.99073 0.94427 1.01036 0.92423 0.88837 0.92380 0.87007 0.87873 0.92727 0.93840 0.93549 0.87144 0.95631 0.89145 0.93255 0.92750 0.91409 0.92575 0.92320 0.92887 0.91072 0.87161 0.93328 0.92427 0.93171 0.92955 0.92359 0.93146 0.89715 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 0.03 0.43 10.56 101.05 1.07 1.50 16 2 O -0.37 -6.23 10.57 -39.27 -0.41 -6.64 16 3 C 0.46 8.69 7.96 36.00 0.29 8.98 16 4 O -0.52 -10.63 15.73 -18.75 -0.29 -10.93 16 5 C -0.13 -2.63 5.30 -27.89 -0.15 -2.78 16 6 C 0.17 3.49 5.00 -4.04 -0.02 3.47 16 7 N -0.57 -13.31 2.14 -174.61 -0.37 -13.68 16 8 C -0.25 -6.48 9.67 -15.06 -0.15 -6.63 16 9 H 0.07 1.88 7.82 -52.49 -0.41 1.47 16 10 C 0.01 0.34 5.30 -17.43 -0.09 0.25 16 11 N -0.90 -22.92 8.44 55.49 0.47 -22.45 16 12 Si 0.91 21.18 29.55 -169.99 -5.02 16.16 16 13 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 14 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 15 H -0.29 -6.83 7.11 56.52 0.40 -6.43 16 16 C 0.16 3.52 3.74 -5.19 -0.02 3.50 16 17 C 0.54 11.29 4.88 -10.99 -0.05 11.23 16 18 O -0.52 -12.30 9.18 5.55 0.05 -12.25 16 19 N -0.61 -10.70 2.43 -156.30 -0.38 -11.08 16 20 C 0.14 2.03 3.12 -67.93 -0.21 1.81 16 21 C -0.16 -2.16 9.19 37.16 0.34 -1.81 16 22 C -0.16 -1.92 9.19 37.16 0.34 -1.58 16 23 C 0.16 2.53 2.43 -65.89 -0.16 2.37 16 24 C -0.14 -2.45 6.18 -25.03 -0.15 -2.60 16 25 C -0.12 -1.80 6.80 -25.61 -0.17 -1.97 16 26 C -0.12 -1.65 6.80 -25.62 -0.17 -1.83 16 27 C -0.13 -2.11 6.22 -25.07 -0.16 -2.27 16 28 H 0.06 0.70 8.13 -51.93 -0.42 0.28 16 29 H 0.09 0.89 8.14 -51.93 -0.42 0.46 16 30 H 0.06 0.71 8.13 -51.93 -0.42 0.29 16 31 H 0.11 2.39 5.91 -51.93 -0.31 2.08 16 32 H 0.10 2.25 8.14 -51.93 -0.42 1.83 16 33 H 0.05 1.17 7.99 -51.93 -0.42 0.76 16 34 H 0.04 0.87 7.89 -51.93 -0.41 0.46 16 35 H 0.25 6.56 8.31 -40.82 -0.34 6.22 16 36 H 0.11 2.58 6.07 -51.93 -0.32 2.27 16 37 H 0.03 0.50 7.60 -51.93 -0.39 0.11 16 38 H 0.09 1.39 5.77 -51.93 -0.30 1.09 16 39 H 0.05 0.64 7.01 -51.93 -0.36 0.28 16 40 H 0.05 0.62 8.14 -51.93 -0.42 0.20 16 41 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 42 H 0.06 0.70 8.14 -51.93 -0.42 0.27 16 43 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 44 H 0.05 0.61 7.15 -51.93 -0.37 0.24 16 45 H 0.07 1.04 6.21 -51.93 -0.32 0.72 16 46 H 0.11 2.49 5.64 -51.93 -0.29 2.20 16 47 H 0.05 0.86 8.14 -51.93 -0.42 0.43 16 48 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 49 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 50 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 51 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 52 H 0.05 0.72 8.14 -51.93 -0.42 0.29 16 53 H 0.08 1.60 6.18 -51.93 -0.32 1.28 16 LS Contribution 405.20 15.07 6.11 6.11 Total: -1.00 -28.27 405.20 -8.61 -36.88 By element: Atomic # 1 Polarization: 15.52 SS G_CDS: -9.28 Total: 6.24 kcal Atomic # 6 Polarization: 11.12 SS G_CDS: 0.53 Total: 11.65 kcal Atomic # 7 Polarization: -46.92 SS G_CDS: -0.29 Total: -47.21 kcal Atomic # 8 Polarization: -29.16 SS G_CDS: -0.66 Total: -29.82 kcal Atomic # 14 Polarization: 21.18 SS G_CDS: -5.02 Total: 16.16 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -28.27 -8.61 -36.88 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. ZINC000879474180.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 -63.262 kcal (2) G-P(sol) polarization free energy of solvation -28.266 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -91.528 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.612 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.878 kcal (6) G-S(sol) free energy of system = (1) + (5) -100.140 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds