Wall clock time and date at job start Sat Apr 11 2020 06:11:01 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 1.52996 * 1 3 3 O 1.42899 * 109.47250 * 2 1 4 4 C 1.42905 * 114.00330 * 179.97438 * 3 2 1 5 5 H 1.08996 * 112.90382 * 18.75762 * 4 3 2 6 6 C 1.53944 * 113.61772 * 247.42507 * 4 3 2 7 7 C 1.53780 * 87.11291 * 270.84283 * 6 4 3 8 8 H 1.09000 * 113.61391 * 220.08825 * 7 6 4 9 9 N 1.46502 * 113.61459 * 89.18868 * 7 6 4 10 10 C 1.46503 * 120.00137 * 15.82327 * 9 7 6 11 11 C 1.34772 * 120.00210 * 195.82366 * 9 7 6 12 12 O 1.21358 * 119.99494 * 354.81844 * 11 9 7 13 13 C 1.49446 * 120.00192 * 174.81774 * 11 9 7 14 14 O 1.21349 * 120.00007 * 5.14280 * 13 11 9 15 15 N 1.34777 * 119.99868 * 185.14773 * 13 11 9 16 16 C 1.46503 * 120.00097 * 180.02562 * 15 13 11 17 17 C 1.52994 * 109.47271 * 179.97438 * 16 15 13 18 18 C 1.53005 * 109.47290 * 179.97438 * 17 16 15 19 19 C 1.50692 * 109.47133 * 180.02562 * 18 17 16 20 20 H 1.08001 * 120.00397 * 359.97438 * 19 18 17 21 21 C 1.37878 * 119.99879 * 180.02562 * 19 18 17 22 22 N 1.31520 * 120.00134 * 179.97438 * 21 19 18 23 23 Si 1.86804 * 119.99940 * 0.02562 * 21 19 18 24 24 H 1.48493 * 109.47254 * 90.00086 * 23 21 19 25 25 H 1.48506 * 109.46720 * 210.00076 * 23 21 19 26 26 H 1.48497 * 109.47046 * 329.99725 * 23 21 19 27 27 C 1.53774 * 87.07963 * 334.63757 * 7 6 4 28 28 C 1.53001 * 113.61268 * 139.98304 * 27 7 6 29 29 C 1.53000 * 113.61730 * 270.80029 * 27 7 6 30 30 H 1.09001 * 109.47031 * 59.99376 * 1 2 3 31 31 H 1.08992 * 109.47155 * 179.97438 * 1 2 3 32 32 H 1.09003 * 109.47186 * 299.99849 * 1 2 3 33 33 H 1.09003 * 109.47186 * 240.00151 * 2 1 3 34 34 H 1.08998 * 109.47630 * 120.00209 * 2 1 3 35 35 H 1.09001 * 113.53651 * 156.28634 * 6 4 3 36 36 H 1.09001 * 113.74599 * 25.42401 * 6 4 3 37 37 H 1.09007 * 109.46656 * 5.46590 * 10 9 7 38 38 H 1.08992 * 109.47074 * 125.46604 * 10 9 7 39 39 H 1.08996 * 109.47047 * 245.47327 * 10 9 7 40 40 H 0.97001 * 120.00407 * 359.97438 * 15 13 11 41 41 H 1.09007 * 109.46689 * 299.99645 * 16 15 13 42 42 H 1.09000 * 109.47371 * 59.99337 * 16 15 13 43 43 H 1.08999 * 109.47680 * 299.99572 * 17 16 15 44 44 H 1.09000 * 109.47029 * 59.99661 * 17 16 15 45 45 H 1.08994 * 109.47120 * 300.00243 * 18 17 16 46 46 H 1.09000 * 109.46877 * 60.00161 * 18 17 16 47 47 H 0.96998 * 120.00135 * 179.97438 * 22 21 19 48 48 H 1.09006 * 109.47236 * 186.36515 * 28 27 7 49 49 H 1.09006 * 109.46958 * 306.36004 * 28 27 7 50 50 H 1.08992 * 109.47426 * 66.35916 * 28 27 7 51 51 H 1.09003 * 109.46726 * 298.47033 * 29 27 7 52 52 H 1.08991 * 109.47119 * 58.46944 * 29 27 7 53 53 H 1.09003 * 109.47288 * 178.47711 * 29 27 7 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 2.0063 1.3473 0.0000 4 6 3.4309 1.4601 0.0006 5 1 3.9290 0.5459 -0.3219 6 6 4.0024 2.0488 1.3032 7 6 3.8410 3.4345 0.6562 8 1 4.6697 4.1119 0.8623 9 7 2.5315 4.0458 0.8971 10 6 1.6618 3.5221 1.9534 11 6 2.1269 5.0898 0.1470 12 8 2.8830 5.5837 -0.6636 13 6 0.7471 5.6393 0.3135 14 8 0.0235 5.2078 1.1869 15 7 0.3065 6.6140 -0.5064 16 6 -1.0459 7.1531 -0.3429 17 6 -1.2923 8.2393 -1.3918 18 6 -2.7049 8.8019 -1.2214 19 6 -2.9477 9.8713 -2.2549 20 1 -2.1720 10.1248 -2.9623 21 6 -4.1599 10.5270 -2.2968 22 7 -4.3717 11.4607 -3.1985 23 14 -5.5009 10.0901 -1.0719 24 1 -5.3637 10.9415 0.1369 25 1 -6.8309 10.3202 -1.6911 26 1 -5.3742 8.6612 -0.6880 27 6 3.9489 2.7252 -0.7039 28 6 2.9883 3.2755 -1.7600 29 6 5.3849 2.5969 -1.2161 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0276 -0.0005 32 1 -0.3634 0.5138 0.8900 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5138 0.8899 35 1 5.0402 1.7713 1.4877 36 1 3.3624 1.8954 2.1721 37 1 2.1921 2.7500 2.5110 38 1 1.3827 4.3309 2.6284 39 1 0.7639 3.0954 1.5064 40 1 0.8850 6.9591 -1.2043 41 1 -1.7742 6.3521 -0.4707 42 1 -1.1483 7.5814 0.6542 43 1 -0.5641 9.0401 -1.2636 44 1 -1.1898 7.8113 -2.3890 45 1 -3.4329 8.0009 -1.3499 46 1 -2.8077 9.2298 -0.2242 47 1 -5.2246 11.9217 -3.2282 48 1 3.0396 2.6563 -2.6557 49 1 1.9714 3.2634 -1.3677 50 1 3.2695 4.2986 -2.0091 51 1 5.8102 3.5906 -1.3576 52 1 5.9820 2.0463 -0.4894 53 1 5.3854 2.0629 -2.1663 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 ZINC000343154675.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 06:11:01 Heat of formation + Delta-G solvation = -81.750146 kcal Electronic energy + Delta-G solvation = -31324.897091 eV Core-core repulsion = 27198.389880 eV Total energy + Delta-G solvation = -4126.507211 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) -41.61925 -39.94104 -38.21222 -36.94398 -35.89066 -34.64135 -33.24674 -31.48894 -31.42050 -30.60245 -27.79391 -27.60828 -27.05095 -25.79134 -23.86188 -23.20756 -22.60032 -21.87769 -20.72362 -19.83727 -18.54480 -17.63952 -17.22259 -16.96032 -16.67800 -16.42667 -15.97701 -15.74640 -15.53997 -15.11245 -14.73602 -14.30516 -14.13971 -13.84135 -13.65695 -13.54957 -13.28823 -13.21303 -13.04652 -13.01079 -12.70330 -12.58041 -12.34755 -12.07330 -11.97901 -11.93892 -11.83289 -11.64780 -11.52448 -11.14702 -11.10858 -11.00743 -10.89788 -10.74102 -10.54376 -10.11246 -9.92222 -9.74433 -9.68561 -9.27485 -9.21003 -8.99323 -8.63151 -8.54476 -6.04953 -4.03710 1.52521 2.32609 3.16937 3.28872 3.31829 3.39301 3.43168 3.54230 4.02560 4.09686 4.24086 4.45163 4.54469 4.58282 4.72688 4.84665 4.85690 4.89717 5.01125 5.01982 5.13120 5.28840 5.29848 5.38256 5.42439 5.45492 5.48043 5.49963 5.59457 5.61874 5.66733 5.69371 5.73839 5.84234 5.91628 5.96940 5.98055 6.09655 6.26445 6.30008 6.42652 6.43209 6.61753 6.77624 6.93033 6.99432 7.22914 7.36315 7.39174 7.76763 7.81920 8.13150 8.51855 8.99387 9.56997 11.08317 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017026 B = 0.002293 C = 0.002187 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1644.176296 B =12207.538620 C =12802.223987 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C 0.058 3.942 3 O -0.353 6.353 4 C 0.073 3.927 5 H 0.074 0.926 6 C -0.171 4.171 7 C 0.136 3.864 8 H 0.088 0.912 9 N -0.564 5.564 10 C 0.090 3.910 11 C 0.510 3.490 12 O -0.517 6.517 13 C 0.502 3.498 14 O -0.522 6.522 15 N -0.694 5.694 16 C 0.114 3.886 17 C -0.115 4.115 18 C -0.010 4.010 19 C -0.522 4.522 20 H 0.072 0.928 21 C 0.066 3.934 22 N -0.903 5.903 23 Si 0.880 3.120 24 H -0.277 1.277 25 H -0.288 1.288 26 H -0.264 1.264 27 C -0.089 4.089 28 C -0.141 4.141 29 C -0.123 4.123 30 H 0.063 0.937 31 H 0.069 0.931 32 H 0.064 0.936 33 H 0.046 0.954 34 H 0.046 0.954 35 H 0.103 0.897 36 H 0.091 0.909 37 H 0.070 0.930 38 H 0.069 0.931 39 H 0.073 0.927 40 H 0.411 0.589 41 H 0.069 0.931 42 H 0.069 0.931 43 H 0.063 0.937 44 H 0.063 0.937 45 H 0.019 0.981 46 H 0.015 0.985 47 H 0.263 0.737 48 H 0.045 0.955 49 H 0.059 0.941 50 H 0.085 0.915 51 H 0.068 0.932 52 H 0.057 0.943 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 19.787 -26.248 9.709 34.274 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 -0.209 4.209 2 C -0.019 4.019 3 O -0.271 6.271 4 C 0.014 3.986 5 H 0.092 0.908 6 C -0.209 4.209 7 C 0.033 3.967 8 H 0.105 0.895 9 N -0.297 5.297 10 C -0.051 4.051 11 C 0.293 3.707 12 O -0.393 6.393 13 C 0.282 3.718 14 O -0.399 6.399 15 N -0.346 5.346 16 C -0.009 4.009 17 C -0.153 4.153 18 C -0.048 4.048 19 C -0.560 4.560 20 H 0.091 0.909 21 C -0.135 4.135 22 N -0.542 5.542 23 Si 0.707 3.293 24 H -0.203 1.203 25 H -0.214 1.214 26 H -0.189 1.189 27 C -0.090 4.090 28 C -0.198 4.198 29 C -0.181 4.181 30 H 0.082 0.918 31 H 0.088 0.912 32 H 0.083 0.917 33 H 0.064 0.936 34 H 0.064 0.936 35 H 0.122 0.878 36 H 0.109 0.891 37 H 0.088 0.912 38 H 0.088 0.912 39 H 0.092 0.908 40 H 0.247 0.753 41 H 0.087 0.913 42 H 0.087 0.913 43 H 0.081 0.919 44 H 0.081 0.919 45 H 0.037 0.963 46 H 0.033 0.967 47 H 0.073 0.927 48 H 0.064 0.936 49 H 0.078 0.922 50 H 0.104 0.896 51 H 0.087 0.913 52 H 0.076 0.924 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 19.369 -26.001 9.851 33.886 hybrid contribution -0.423 -0.266 0.292 0.579 sum 18.946 -26.267 10.143 33.938 Atomic orbital electron populations 1.21740 0.93505 1.02181 1.03499 1.22524 0.95743 0.83886 0.99732 1.87985 1.18966 1.25865 1.94298 1.23179 0.82237 0.97625 0.95562 0.90841 1.23964 1.02573 0.95288 0.99038 1.21981 0.85058 0.93504 0.96202 0.89460 1.47143 1.17380 1.30698 1.34478 1.22047 0.93845 0.99509 0.89741 1.20095 0.88142 0.81034 0.81419 1.90671 1.55144 1.58620 1.34894 1.20005 0.87595 0.81249 0.82972 1.90737 1.57233 1.58860 1.33022 1.45993 1.17443 1.36844 1.34342 1.21796 0.80847 0.97245 1.00993 1.21732 1.00674 0.95903 0.96971 1.19499 0.91446 0.96498 0.97367 1.21097 1.00751 1.18385 1.15749 0.90941 1.25033 0.98396 0.94610 0.95461 1.69915 1.24569 1.24770 1.34920 0.86773 0.81306 0.79607 0.81595 1.20256 1.21388 1.18892 1.22442 0.96670 0.94668 0.95197 1.21964 0.98841 1.02318 0.96664 1.21526 0.92945 1.02703 1.00931 0.91767 0.91200 0.91654 0.93574 0.93564 0.87840 0.89075 0.91157 0.91199 0.90803 0.75321 0.91273 0.91285 0.91866 0.91862 0.96273 0.96709 0.92701 0.93639 0.92187 0.89600 0.91286 0.92395 0.91920 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 -1.10 10.28 37.16 0.38 -0.71 16 2 C 0.06 0.41 6.50 37.16 0.24 0.65 16 3 O -0.35 -3.27 7.20 -35.23 -0.25 -3.52 16 4 C 0.07 0.55 3.81 -25.83 -0.10 0.46 16 5 H 0.07 0.46 7.83 -51.93 -0.41 0.05 16 6 C -0.17 -1.10 6.88 -25.83 -0.18 -1.28 16 7 C 0.14 1.26 3.64 -67.12 -0.24 1.01 16 8 H 0.09 0.81 8.10 -51.93 -0.42 0.39 16 9 N -0.56 -6.43 2.34 -173.51 -0.41 -6.84 16 10 C 0.09 0.94 7.66 59.85 0.46 1.40 16 11 C 0.51 7.03 5.70 -11.59 -0.07 6.97 16 12 O -0.52 -7.69 13.26 5.49 0.07 -7.61 16 13 C 0.50 7.62 7.81 -11.59 -0.09 7.53 16 14 O -0.52 -8.63 13.26 5.50 0.07 -8.56 16 15 N -0.69 -10.42 5.55 -60.73 -0.34 -10.76 16 16 C 0.11 1.88 5.67 -4.04 -0.02 1.85 16 17 C -0.11 -2.17 5.27 -26.73 -0.14 -2.31 16 18 C -0.01 -0.24 4.04 -27.88 -0.11 -0.35 16 19 C -0.52 -14.78 9.66 -34.44 -0.33 -15.11 16 20 H 0.07 2.20 7.99 -52.49 -0.42 1.78 16 21 C 0.07 1.93 5.47 -17.82 -0.10 1.84 16 22 N -0.90 -27.89 13.96 55.43 0.77 -27.12 16 23 Si 0.88 21.73 27.47 -169.99 -4.67 17.06 16 24 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 25 H -0.29 -7.05 7.11 56.52 0.40 -6.65 16 26 H -0.26 -6.26 6.54 56.52 0.37 -5.89 16 27 C -0.09 -0.78 1.34 -153.70 -0.21 -0.99 16 28 C -0.14 -1.62 7.22 37.16 0.27 -1.35 16 29 C -0.12 -0.83 9.07 37.16 0.34 -0.49 16 30 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 31 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 34 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 35 H 0.10 0.45 7.64 -51.93 -0.40 0.05 16 36 H 0.09 0.58 5.36 -51.93 -0.28 0.30 16 37 H 0.07 0.56 5.05 -51.92 -0.26 0.30 16 38 H 0.07 0.79 7.06 -51.93 -0.37 0.43 16 39 H 0.07 0.89 7.20 -51.93 -0.37 0.51 16 40 H 0.41 5.73 7.96 -40.82 -0.32 5.40 16 41 H 0.07 1.16 8.14 -51.92 -0.42 0.74 16 42 H 0.07 1.16 8.14 -51.93 -0.42 0.73 16 43 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 44 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 45 H 0.02 0.45 7.20 -51.93 -0.37 0.07 16 46 H 0.01 0.34 7.57 -51.93 -0.39 -0.05 16 47 H 0.26 7.61 8.31 -40.82 -0.34 7.27 16 48 H 0.04 0.49 8.14 -51.93 -0.42 0.06 16 49 H 0.06 0.80 5.71 -51.93 -0.30 0.51 16 50 H 0.09 1.14 5.61 -51.93 -0.29 0.84 16 51 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 52 H 0.06 0.28 7.34 -51.93 -0.38 -0.10 16 53 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 LS Contribution 407.42 15.07 6.14 6.14 Total: -1.00 -32.48 407.42 -7.73 -40.21 By element: Atomic # 1 Polarization: 11.12 SS G_CDS: -9.22 Total: 1.89 kcal Atomic # 6 Polarization: -1.00 SS G_CDS: 0.10 Total: -0.90 kcal Atomic # 7 Polarization: -44.74 SS G_CDS: 0.03 Total: -44.71 kcal Atomic # 8 Polarization: -19.59 SS G_CDS: -0.11 Total: -19.70 kcal Atomic # 14 Polarization: 21.73 SS G_CDS: -4.67 Total: 17.06 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -32.48 -7.73 -40.21 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. ZINC000343154675.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 -41.539 kcal (2) G-P(sol) polarization free energy of solvation -32.477 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -74.016 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.734 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.211 kcal (6) G-S(sol) free energy of system = (1) + (5) -81.750 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds