Wall clock time and date at job start Wed Apr 1 2020 00:05:43 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 1.53003 * 1 3 3 C 1.52999 * 109.46917 * 2 1 4 4 N 1.46497 * 109.47218 * 119.99804 * 2 1 3 5 5 C 1.34780 * 119.99566 * 85.00262 * 4 2 1 6 6 O 1.21280 * 120.00423 * 359.97438 * 5 4 2 7 7 C 1.50701 * 119.99795 * 180.02562 * 5 4 2 8 8 N 1.46901 * 109.46921 * 179.97438 * 7 5 4 9 9 C 1.46893 * 111.00243 * 293.95400 * 8 7 5 10 10 C 1.46906 * 110.99853 * 169.99766 * 8 7 5 11 11 C 1.50693 * 109.47155 * 190.00173 * 10 8 7 12 12 O 1.21285 * 120.00358 * 359.97438 * 11 10 8 13 13 N 1.34783 * 120.00123 * 180.02562 * 11 10 8 14 14 C 1.46495 * 120.00063 * 180.02562 * 13 11 10 15 15 C 1.52995 * 109.47145 * 179.97438 * 14 13 11 16 16 H 1.09001 * 110.64423 * 56.68460 * 15 14 13 17 17 C 1.55159 * 110.72478 * 180.02562 * 15 14 13 18 18 C 1.54904 * 101.58612 * 153.86420 * 17 15 14 19 19 N 1.47432 * 104.83116 * 322.98899 * 18 17 15 20 20 C 1.36937 * 125.64788 * 204.16148 * 19 18 17 21 21 H 1.07997 * 119.99531 * 179.97438 * 20 19 18 22 22 C 1.38804 * 120.00132 * 359.96358 * 20 19 18 23 23 N 1.31615 * 120.00135 * 359.97438 * 22 20 19 24 24 Si 1.86804 * 120.00111 * 180.02562 * 22 20 19 25 25 H 1.48499 * 109.47216 * 89.99443 * 24 22 20 26 26 H 1.48501 * 109.47086 * 209.99991 * 24 22 20 27 27 H 1.48510 * 109.46826 * 329.99777 * 24 22 20 28 28 C 1.47019 * 108.69991 * 24.13142 * 19 18 17 29 29 H 1.09006 * 109.46570 * 299.99863 * 1 2 3 30 30 H 1.09000 * 109.47614 * 59.99489 * 1 2 3 31 31 H 1.08998 * 109.47302 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.46576 * 240.00035 * 2 1 3 33 33 H 1.09007 * 109.47111 * 180.02562 * 3 2 1 34 34 H 1.09001 * 109.47605 * 299.99893 * 3 2 1 35 35 H 1.08996 * 109.47469 * 60.00581 * 3 2 1 36 36 H 0.96995 * 120.00423 * 264.99567 * 4 2 1 37 37 H 1.09002 * 109.47060 * 299.99722 * 7 5 4 38 38 H 1.09001 * 109.47380 * 59.99809 * 7 5 4 39 39 H 1.08999 * 109.47439 * 60.00146 * 9 8 7 40 40 H 1.08997 * 109.47257 * 180.02562 * 9 8 7 41 41 H 1.09006 * 109.46808 * 299.99830 * 9 8 7 42 42 H 1.09000 * 109.47257 * 310.00208 * 10 8 7 43 43 H 1.09006 * 109.46871 * 70.00245 * 10 8 7 44 44 H 0.96996 * 119.99479 * 359.97438 * 13 11 10 45 45 H 1.09000 * 109.46943 * 299.99591 * 14 13 11 46 46 H 1.09002 * 109.47535 * 59.99242 * 14 13 11 47 47 H 1.09006 * 111.00446 * 271.94094 * 17 15 14 48 48 H 1.09004 * 110.99963 * 35.78789 * 17 15 14 49 49 H 1.09002 * 110.36882 * 204.15590 * 18 17 15 50 50 H 1.08995 * 110.46187 * 81.87671 * 18 17 15 51 51 H 0.97001 * 120.00216 * 180.02562 * 23 22 20 52 52 H 1.08996 * 109.88164 * 239.51956 * 28 19 18 53 53 H 1.09006 * 110.01400 * 118.43054 * 28 19 18 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 6 2.0400 1.4425 0.0000 4 7 2.0184 -0.6905 1.1962 5 6 2.1471 -2.0322 1.1943 6 8 1.8583 -2.6678 0.2026 7 6 2.6489 -2.7427 2.4250 8 7 2.6979 -4.1885 2.1698 9 6 1.3482 -4.7351 1.9767 10 6 3.4003 -4.8906 3.2524 11 6 3.6473 -6.3206 2.8463 12 8 3.2745 -6.7163 1.7621 13 7 4.2816 -7.1603 3.6884 14 6 4.5222 -8.5504 3.2935 15 6 5.2536 -9.2816 4.4209 16 1 4.6858 -9.2220 5.3494 17 6 5.5242 -10.7591 4.0322 18 6 6.7720 -11.0832 4.8910 19 7 7.5696 -9.8433 4.8807 20 6 8.9210 -9.7619 5.0868 21 1 9.4145 -8.8018 5.0587 22 6 9.6562 -10.9134 5.3320 23 7 9.0546 -12.0835 5.3669 24 14 11.4995 -10.8023 5.6138 25 1 11.7687 -10.6201 7.0627 26 1 12.1485 -12.0523 5.1430 27 1 12.0468 -9.6460 4.8594 28 6 6.6739 -8.7089 4.6119 29 1 -0.3633 0.5139 0.8901 30 1 -0.3634 0.5139 -0.8899 31 1 -0.3634 -1.0276 0.0005 32 1 1.8933 -0.5138 -0.8900 33 1 3.1300 1.4425 -0.0005 34 1 1.6767 1.9564 -0.8900 35 1 1.6768 1.9563 0.8900 36 1 2.2491 -0.1823 1.9894 37 1 3.6481 -2.3826 2.6703 38 1 1.9760 -2.5438 3.2591 39 1 0.8764 -4.2457 1.1246 40 1 1.4135 -5.8070 1.7901 41 1 0.7530 -4.5582 2.8727 42 1 4.3532 -4.3982 3.4465 43 1 2.7899 -4.8695 4.1552 44 1 4.5794 -6.8440 4.5557 45 1 3.5695 -9.0428 3.0987 46 1 5.1332 -8.5712 2.3910 47 1 4.6837 -11.3960 4.3083 48 1 5.7475 -10.8487 2.9691 49 1 7.3374 -11.9016 4.4450 50 1 6.4782 -11.3369 5.9095 51 1 9.5683 -12.8881 5.5386 52 1 6.9907 -8.1932 3.7054 53 1 6.6846 -8.0174 5.4545 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 ZINC001714640887.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:05:43 Heat of formation + Delta-G solvation = -37.726637 kcal Electronic energy + Delta-G solvation = -29424.908035 eV Core-core repulsion = 25332.602578 eV Total energy + Delta-G solvation = -4092.305457 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.38903 -39.65302 -37.79449 -36.92550 -35.86328 -34.54693 -32.51838 -32.14294 -30.12869 -29.10334 -28.25151 -27.70260 -27.66109 -25.50278 -24.03215 -22.98693 -21.53793 -20.74654 -20.63177 -19.90031 -19.53856 -17.71177 -17.10009 -16.78886 -16.38173 -16.19480 -16.07806 -15.50650 -15.13979 -14.95830 -14.68797 -14.50991 -14.29621 -14.20202 -13.67147 -13.44374 -13.42497 -12.96404 -12.89862 -12.78697 -12.64305 -12.49857 -12.23000 -11.90801 -11.77020 -11.75326 -11.68590 -11.60959 -11.43797 -11.41739 -10.94779 -10.80858 -10.39837 -10.15215 -10.09582 -9.99664 -9.84718 -9.62962 -9.47535 -9.43737 -8.89546 -8.64953 -8.53766 -6.83268 -5.65342 -3.07018 2.37370 2.58816 2.72494 3.18177 3.39743 3.44736 3.46929 3.83729 4.28805 4.48586 4.49198 4.58216 4.68194 4.77489 4.81926 4.84774 4.98232 5.06202 5.08157 5.16766 5.20941 5.28375 5.29570 5.38346 5.41853 5.46211 5.49860 5.53694 5.63555 5.71304 5.78792 5.90814 6.06666 6.10061 6.14558 6.20499 6.35823 6.51010 6.55884 6.59166 6.60666 6.69517 6.75066 6.92085 7.16462 7.51749 7.61780 7.62868 7.86087 7.97423 8.35109 8.36838 9.22207 9.83313 10.48175 11.38589 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.021595 B = 0.001648 C = 0.001560 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1296.284140 B =16988.854510 C =17941.961315 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.163 4.163 2 C 0.136 3.864 3 C -0.160 4.160 4 N -0.733 5.733 5 C 0.514 3.486 6 O -0.512 6.512 7 C 0.036 3.964 8 N -0.506 5.506 9 C 0.015 3.985 10 C 0.035 3.965 11 C 0.510 3.490 12 O -0.522 6.522 13 N -0.727 5.727 14 C 0.135 3.865 15 C -0.114 4.114 16 H 0.075 0.925 17 C -0.135 4.135 18 C 0.151 3.849 19 N -0.604 5.604 20 C -0.223 4.223 21 H 0.077 0.923 22 C -0.012 4.012 23 N -0.922 5.922 24 Si 0.914 3.086 25 H -0.289 1.289 26 H -0.290 1.290 27 H -0.281 1.281 28 C 0.142 3.858 29 H 0.055 0.945 30 H 0.065 0.935 31 H 0.060 0.940 32 H 0.088 0.912 33 H 0.062 0.938 34 H 0.072 0.928 35 H 0.060 0.940 36 H 0.398 0.602 37 H 0.105 0.895 38 H 0.064 0.936 39 H 0.086 0.914 40 H 0.089 0.911 41 H 0.014 0.986 42 H 0.105 0.895 43 H 0.064 0.936 44 H 0.400 0.600 45 H 0.064 0.936 46 H 0.069 0.931 47 H 0.060 0.940 48 H 0.063 0.937 49 H 0.107 0.893 50 H 0.012 0.988 51 H 0.252 0.748 52 H 0.024 0.976 53 H 0.017 0.983 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.115 25.083 -3.582 31.147 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 -0.222 4.222 2 C 0.032 3.968 3 C -0.218 4.218 4 N -0.387 5.387 5 C 0.299 3.701 6 O -0.386 6.386 7 C -0.096 4.096 8 N -0.230 5.230 9 C -0.133 4.133 10 C -0.096 4.096 11 C 0.295 3.705 12 O -0.397 6.397 13 N -0.380 5.380 14 C 0.011 3.989 15 C -0.134 4.134 16 H 0.093 0.907 17 C -0.174 4.174 18 C 0.027 3.973 19 N -0.330 5.330 20 C -0.351 4.351 21 H 0.095 0.905 22 C -0.207 4.207 23 N -0.571 5.571 24 Si 0.745 3.255 25 H -0.217 1.217 26 H -0.216 1.216 27 H -0.207 1.207 28 C 0.016 3.984 29 H 0.074 0.926 30 H 0.084 0.916 31 H 0.079 0.921 32 H 0.106 0.894 33 H 0.081 0.919 34 H 0.091 0.909 35 H 0.079 0.921 36 H 0.232 0.768 37 H 0.123 0.877 38 H 0.082 0.918 39 H 0.104 0.896 40 H 0.108 0.892 41 H 0.033 0.967 42 H 0.123 0.877 43 H 0.082 0.918 44 H 0.234 0.766 45 H 0.082 0.918 46 H 0.087 0.913 47 H 0.078 0.922 48 H 0.082 0.918 49 H 0.124 0.876 50 H 0.030 0.970 51 H 0.063 0.937 52 H 0.042 0.958 53 H 0.035 0.965 Dipole moment (debyes) X Y Z Total from point charges -18.148 24.090 -5.527 30.663 hybrid contribution 0.795 0.694 1.945 2.213 sum -17.353 24.784 -3.582 30.467 Atomic orbital electron populations 1.22186 0.95340 1.02659 1.01993 1.20917 0.94103 0.92779 0.88999 1.22076 1.01816 0.95008 1.02899 1.46112 1.68722 1.07000 1.16851 1.20520 0.77669 0.82005 0.89889 1.90719 1.47958 1.65406 1.34530 1.22006 1.02809 0.89749 0.95018 1.61271 1.19760 1.00292 1.41682 1.22728 0.86912 1.03295 1.00339 1.22013 1.00917 0.93415 0.93229 1.20335 0.78185 0.87134 0.84813 1.90702 1.50007 1.77346 1.21630 1.46055 1.59795 1.11974 1.20151 1.21421 0.99758 0.79736 0.97972 1.22443 0.96602 0.97132 0.97186 0.90661 1.23005 1.00117 0.93210 1.01117 1.21932 0.88212 0.91624 0.95562 1.44501 1.03431 1.01334 1.83781 1.19074 0.81619 0.93514 1.40934 0.90545 1.24788 0.98326 0.95348 1.02241 1.69795 1.33705 0.97356 1.56206 0.86075 0.84738 0.76907 0.77788 1.21672 1.21623 1.20708 1.21314 0.88434 0.91425 0.97249 0.92596 0.91646 0.92064 0.89357 0.91887 0.90928 0.92107 0.76817 0.87664 0.91838 0.89573 0.89235 0.96750 0.87663 0.91802 0.76621 0.91788 0.91266 0.92151 0.91806 0.87559 0.97014 0.93732 0.95781 0.96508 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.16 -0.96 9.48 37.16 0.35 -0.61 16 2 C 0.14 0.84 3.18 -67.93 -0.22 0.62 16 3 C -0.16 -0.58 9.38 37.16 0.35 -0.23 16 4 N -0.73 -4.42 5.08 -53.81 -0.27 -4.70 16 5 C 0.51 4.84 7.52 -10.98 -0.08 4.76 16 6 O -0.51 -7.22 13.97 5.56 0.08 -7.14 16 7 C 0.04 0.27 5.45 -4.97 -0.03 0.24 16 8 N -0.51 -5.70 4.24 -245.82 -1.04 -6.74 16 9 C 0.01 0.17 8.85 60.06 0.53 0.71 16 10 C 0.04 0.34 5.45 -4.98 -0.03 0.31 16 11 C 0.51 6.85 7.52 -10.99 -0.08 6.77 16 12 O -0.52 -9.26 14.33 5.55 0.08 -9.18 16 13 N -0.73 -9.07 5.40 -60.30 -0.33 -9.39 16 14 C 0.13 1.99 4.99 -4.05 -0.02 1.97 16 15 C -0.11 -1.88 3.02 -88.79 -0.27 -2.15 16 16 H 0.08 1.15 8.14 -51.93 -0.42 0.72 16 17 C -0.14 -2.51 6.53 -24.58 -0.16 -2.67 16 18 C 0.15 3.65 5.89 -2.53 -0.01 3.64 16 19 N -0.60 -15.39 3.39 -170.07 -0.58 -15.97 16 20 C -0.22 -6.22 10.27 -15.06 -0.15 -6.37 16 21 H 0.08 2.06 7.83 -52.49 -0.41 1.65 16 22 C -0.01 -0.33 5.49 -17.44 -0.10 -0.42 16 23 N -0.92 -26.87 10.09 55.49 0.56 -26.31 16 24 Si 0.91 22.07 29.55 -169.99 -5.02 17.05 16 25 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 26 H -0.29 -7.05 7.11 56.52 0.40 -6.65 16 27 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 28 C 0.14 2.85 6.52 -3.06 -0.02 2.83 16 29 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 30 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 31 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 32 H 0.09 0.75 7.58 -51.93 -0.39 0.35 16 33 H 0.06 0.24 8.14 -51.92 -0.42 -0.18 16 34 H 0.07 0.23 8.14 -51.93 -0.42 -0.20 16 35 H 0.06 0.16 8.14 -51.93 -0.42 -0.26 16 36 H 0.40 1.20 8.60 -40.82 -0.35 0.85 16 37 H 0.11 0.56 7.93 -51.93 -0.41 0.15 16 38 H 0.06 0.33 8.12 -51.93 -0.42 -0.09 16 39 H 0.09 1.15 5.88 -51.93 -0.31 0.84 16 40 H 0.09 1.28 5.82 -51.93 -0.30 0.98 16 41 H 0.01 0.14 8.14 -51.93 -0.42 -0.28 16 42 H 0.11 0.78 7.93 -51.93 -0.41 0.37 16 43 H 0.06 0.46 8.12 -51.93 -0.42 0.03 16 44 H 0.40 4.04 8.33 -40.82 -0.34 3.70 16 45 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 46 H 0.07 1.16 8.06 -51.93 -0.42 0.74 16 47 H 0.06 0.98 8.14 -51.93 -0.42 0.56 16 48 H 0.06 1.19 8.05 -51.93 -0.42 0.78 16 49 H 0.11 2.90 5.87 -51.93 -0.31 2.59 16 50 H 0.01 0.30 8.14 -51.93 -0.42 -0.12 16 51 H 0.25 7.12 8.31 -40.82 -0.34 6.78 16 52 H 0.02 0.50 7.76 -51.93 -0.40 0.10 16 53 H 0.02 0.33 8.14 -51.93 -0.42 -0.10 16 LS Contribution 418.83 15.07 6.31 6.31 Total: -1.00 -36.17 418.83 -9.67 -45.84 By element: Atomic # 1 Polarization: 10.38 SS G_CDS: -9.52 Total: 0.86 kcal Atomic # 6 Polarization: 9.31 SS G_CDS: 0.06 Total: 9.37 kcal Atomic # 7 Polarization: -61.45 SS G_CDS: -1.66 Total: -63.11 kcal Atomic # 8 Polarization: -16.48 SS G_CDS: 0.16 Total: -16.32 kcal Atomic # 14 Polarization: 22.07 SS G_CDS: -5.02 Total: 17.05 kcal Total LS contribution 6.31 Total: 6.31 kcal Total: -36.17 -9.67 -45.84 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. ZINC001714640887.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 8.113 kcal (2) G-P(sol) polarization free energy of solvation -36.166 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.053 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.673 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.839 kcal (6) G-S(sol) free energy of system = (1) + (5) -37.727 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds