Wall clock time and date at job start Sat Apr 11 2020 06:10:23 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 1.52998 * 1 3 3 C 1.53005 * 109.46980 * 2 1 4 4 C 1.50706 * 109.54304 * 304.90905 * 3 2 1 5 5 O 1.21273 * 119.99749 * 126.60634 * 4 3 2 6 6 N 1.34778 * 120.00038 * 306.60820 * 4 3 2 7 7 C 1.46927 * 120.62990 * 174.97714 * 6 4 3 8 8 C 1.53187 * 108.77359 * 126.41108 * 7 6 4 9 9 C 1.53048 * 109.31408 * 54.63734 * 8 7 6 10 10 O 1.42897 * 109.45975 * 58.65070 * 9 8 7 11 11 C 1.53002 * 109.45859 * 178.62744 * 9 8 7 12 12 N 1.46509 * 109.46789 * 180.02562 * 11 9 8 13 13 C 1.36932 * 119.99922 * 179.97438 * 12 11 9 14 14 H 1.08006 * 119.99867 * 0.02562 * 13 12 11 15 15 C 1.38811 * 119.99980 * 179.97438 * 13 12 11 16 16 N 1.31620 * 120.00025 * 0.02562 * 15 13 12 17 17 Si 1.86801 * 120.00079 * 180.02562 * 15 13 12 18 18 H 1.48500 * 109.46877 * 60.00303 * 17 15 13 19 19 H 1.48493 * 109.47350 * 180.02562 * 17 15 13 20 20 H 1.48496 * 109.47331 * 300.00597 * 17 15 13 21 21 C 1.53045 * 109.52470 * 298.64111 * 9 8 7 22 22 C 1.46923 * 120.63134 * 354.99784 * 6 4 3 23 23 C 1.53181 * 109.54430 * 65.08879 * 3 2 1 24 24 C 1.53276 * 109.06074 * 176.85355 * 23 3 2 25 25 O 1.42906 * 109.46289 * 302.44080 * 24 23 3 26 26 C 1.42898 * 114.09634 * 61.16132 * 25 24 23 27 27 C 1.53100 * 109.41829 * 298.84586 * 26 25 24 28 28 H 1.09007 * 109.46770 * 295.02243 * 1 2 3 29 29 H 1.08997 * 109.47122 * 55.02155 * 1 2 3 30 30 H 1.09001 * 109.46848 * 175.02491 * 1 2 3 31 31 H 1.09005 * 109.47196 * 240.00499 * 2 1 3 32 32 H 1.08992 * 109.47390 * 119.99900 * 2 1 3 33 33 H 1.08992 * 109.58303 * 6.62312 * 7 6 4 34 34 H 1.08999 * 109.70063 * 246.26630 * 7 6 4 35 35 H 1.09002 * 109.50358 * 294.68656 * 8 7 6 36 36 H 1.08997 * 109.49894 * 174.58387 * 8 7 6 37 37 H 0.96696 * 113.99586 * 179.97438 * 10 9 8 38 38 H 1.08998 * 109.47019 * 300.02211 * 11 9 8 39 39 H 1.09001 * 109.47261 * 60.02670 * 11 9 8 40 40 H 0.97001 * 119.99853 * 0.02562 * 12 11 9 41 41 H 0.96997 * 120.00139 * 179.97438 * 16 15 13 42 42 H 1.08999 * 109.49599 * 181.31494 * 21 9 8 43 43 H 1.09004 * 109.49329 * 301.40807 * 21 9 8 44 44 H 1.09007 * 109.59031 * 353.37818 * 22 6 4 45 45 H 1.09002 * 109.58820 * 113.65330 * 22 6 4 46 46 H 1.09004 * 109.51766 * 296.84099 * 23 3 2 47 47 H 1.08997 * 109.51866 * 57.02941 * 23 3 2 48 48 H 1.09003 * 109.45295 * 182.44785 * 24 23 3 49 49 H 1.08995 * 109.47103 * 62.44617 * 24 23 3 50 50 H 1.09002 * 109.48466 * 178.85998 * 26 25 24 51 51 H 1.09008 * 109.48974 * 58.82893 * 26 25 24 52 52 H 1.09001 * 109.51486 * 297.70535 * 27 26 25 53 53 H 1.08994 * 109.57700 * 177.54873 * 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 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4426 0.0000 4 6 1.4417 2.1888 -1.1647 5 8 0.8589 3.2359 -0.9790 6 7 1.5543 1.6923 -2.4126 7 6 0.8839 2.3492 -3.5429 8 6 1.9211 2.6336 -4.6338 9 6 2.6407 1.3333 -4.9994 10 8 1.6854 0.3712 -5.4507 11 6 3.6537 1.6070 -6.1129 12 7 4.3422 0.3622 -6.4634 13 6 5.2994 0.3616 -7.4427 14 1 5.5470 1.2789 -7.9564 15 6 5.9521 -0.8176 -7.7745 16 7 5.6507 -1.9353 -7.1481 17 14 7.2583 -0.8183 -9.1099 18 1 8.3571 0.1047 -8.7279 19 1 7.7990 -2.1917 -9.2727 20 1 6.6569 -0.3685 -10.3909 21 6 3.3701 0.7890 -3.7689 22 6 2.3496 0.4837 -2.6685 23 6 1.6375 2.1284 1.3092 24 6 2.2205 3.5457 1.3317 25 8 3.6405 3.4788 1.1859 26 6 4.0739 2.8887 -0.0413 27 6 3.5671 1.4461 -0.1192 28 1 -0.3633 0.4347 0.9313 29 1 -0.3633 0.5891 -0.8420 30 1 -0.3633 -1.0238 -0.0891 31 1 1.8933 -0.5138 -0.8901 32 1 1.8933 -0.5138 0.8899 33 1 0.4385 3.2863 -3.2090 34 1 0.1066 1.6959 -3.9392 35 1 2.6462 3.3596 -4.2661 36 1 1.4210 3.0330 -5.5161 37 1 2.0717 -0.4793 -5.7005 38 1 3.1343 1.9942 -6.9894 39 1 4.3825 2.3409 -5.7687 40 1 4.1196 -0.4616 -6.0023 41 1 6.1066 -2.7595 -7.3802 42 1 3.9016 -0.1246 -4.0356 43 1 4.0815 1.5325 -3.4093 44 1 2.8712 0.1898 -1.7576 45 1 1.6928 -0.3246 -2.9902 46 1 0.5506 2.1782 1.3751 47 1 2.0289 1.5604 2.1532 48 1 1.9746 4.0245 2.2796 49 1 1.7978 4.1255 0.5112 50 1 5.1631 2.8940 -0.0826 51 1 3.6755 3.4596 -0.8801 52 1 3.9974 0.8645 0.6961 53 1 3.8591 1.0074 -1.0733 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 ZINC001484962043.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 06:10:23 Heat of formation + Delta-G solvation = -108.950759 kcal Electronic energy + Delta-G solvation = -33079.377411 eV Core-core repulsion = 28951.690693 eV Total energy + Delta-G solvation = -4127.686718 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) -41.58821 -39.27568 -37.93691 -36.09415 -35.38421 -34.04536 -32.05874 -31.65961 -31.05924 -30.69738 -30.36451 -27.00028 -25.80265 -24.31546 -23.99039 -23.21439 -22.58437 -21.80061 -21.09285 -20.03772 -18.82303 -17.57117 -16.67193 -16.59700 -16.17348 -16.00197 -15.65156 -15.50861 -15.09724 -14.73600 -14.68620 -14.45633 -14.17632 -14.00399 -13.79629 -13.45688 -13.28701 -13.11402 -12.92532 -12.70319 -12.61803 -12.37039 -12.23456 -12.14231 -11.87754 -11.66564 -11.65414 -11.41767 -11.20740 -11.09985 -11.08412 -11.02816 -10.86518 -10.57282 -10.43146 -10.34960 -10.19716 -9.76588 -9.68819 -9.39993 -9.31885 -8.98652 -8.56358 -7.06106 -5.88359 -3.17409 2.53872 2.93766 3.38132 3.43114 3.43579 3.78650 4.15254 4.26341 4.46463 4.49468 4.51590 4.66125 4.74610 4.83484 4.94817 4.98682 5.04425 5.09259 5.12577 5.20922 5.22189 5.31992 5.37531 5.41495 5.45832 5.50026 5.57682 5.58935 5.60821 5.64027 5.70610 5.74401 5.78536 5.85458 5.86245 5.91132 5.95861 5.99007 6.02776 6.05291 6.09188 6.27336 6.34062 6.53965 6.62984 6.65955 7.10761 7.38742 7.60435 8.02901 8.11407 8.30706 9.41460 9.94531 10.28853 11.34305 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016926 B = 0.003027 C = 0.002923 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1653.864614 B = 9248.530821 C = 9578.269739 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.130 4.130 3 C -0.078 4.078 4 C 0.529 3.471 5 O -0.546 6.546 6 N -0.600 5.600 7 C 0.117 3.883 8 C -0.116 4.116 9 C 0.131 3.869 10 O -0.560 6.560 11 C 0.128 3.872 12 N -0.729 5.729 13 C -0.242 4.242 14 H 0.070 0.930 15 C -0.010 4.010 16 N -0.934 5.934 17 Si 0.908 3.092 18 H -0.286 1.286 19 H -0.290 1.290 20 H -0.286 1.286 21 C -0.159 4.159 22 C 0.090 3.910 23 C -0.126 4.126 24 C 0.045 3.955 25 O -0.384 6.384 26 C 0.061 3.939 27 C -0.159 4.159 28 H 0.056 0.944 29 H 0.055 0.945 30 H 0.059 0.941 31 H 0.086 0.914 32 H 0.074 0.926 33 H 0.087 0.913 34 H 0.075 0.925 35 H 0.076 0.924 36 H 0.081 0.919 37 H 0.382 0.618 38 H 0.028 0.972 39 H 0.025 0.975 40 H 0.380 0.620 41 H 0.257 0.743 42 H 0.092 0.908 43 H 0.073 0.927 44 H 0.103 0.897 45 H 0.076 0.924 46 H 0.079 0.921 47 H 0.074 0.926 48 H 0.087 0.913 49 H 0.082 0.918 50 H 0.097 0.903 51 H 0.049 0.951 52 H 0.085 0.915 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.250 5.119 16.932 19.961 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 -0.211 4.211 2 C -0.167 4.167 3 C -0.081 4.081 4 C 0.317 3.683 5 O -0.424 6.424 6 N -0.332 5.332 7 C -0.005 4.005 8 C -0.155 4.155 9 C 0.090 3.910 10 O -0.368 6.368 11 C 0.000 4.000 12 N -0.374 5.374 13 C -0.373 4.373 14 H 0.088 0.912 15 C -0.207 4.207 16 N -0.583 5.583 17 Si 0.739 3.261 18 H -0.212 1.212 19 H -0.216 1.216 20 H -0.212 1.212 21 C -0.198 4.198 22 C -0.032 4.032 23 C -0.164 4.164 24 C -0.031 4.031 25 O -0.303 6.303 26 C -0.016 4.016 27 C -0.196 4.196 28 H 0.075 0.925 29 H 0.074 0.926 30 H 0.078 0.922 31 H 0.104 0.896 32 H 0.093 0.907 33 H 0.105 0.895 34 H 0.093 0.907 35 H 0.094 0.906 36 H 0.100 0.900 37 H 0.232 0.768 38 H 0.046 0.954 39 H 0.043 0.957 40 H 0.214 0.786 41 H 0.066 0.934 42 H 0.110 0.890 43 H 0.091 0.909 44 H 0.121 0.879 45 H 0.094 0.906 46 H 0.098 0.902 47 H 0.093 0.907 48 H 0.105 0.895 49 H 0.100 0.900 50 H 0.115 0.885 51 H 0.067 0.933 52 H 0.103 0.897 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges -9.740 6.273 17.145 20.692 hybrid contribution 1.016 -1.052 -1.105 1.833 sum -8.724 5.221 16.040 18.991 Atomic orbital electron populations 1.21819 0.95182 1.02017 1.02132 1.22015 0.96888 0.93858 1.03932 1.20903 0.96232 0.96622 0.94367 1.20391 0.79306 0.84878 0.83676 1.90589 1.44244 1.23168 1.84421 1.48058 1.50141 1.28174 1.06845 1.21519 0.94917 0.98583 0.85467 1.21840 0.98749 0.96027 0.98866 1.21265 0.88441 0.88857 0.92408 1.86373 1.36416 1.26806 1.87175 1.21319 0.92941 0.90940 0.94760 1.42264 1.45213 1.05199 1.44771 1.19155 1.12180 0.94501 1.11457 0.91213 1.24716 1.00357 0.95523 1.00062 1.69613 1.45345 0.98912 1.44401 0.86249 0.81558 0.76573 0.81694 1.21232 1.21628 1.21228 1.22580 0.97884 1.03661 0.95626 1.22402 0.93930 0.87073 0.99798 1.22064 1.01953 0.97158 0.95188 1.22951 0.80762 0.96191 1.03196 1.87891 1.22297 1.81440 1.38693 1.22540 1.00054 0.91856 0.87164 1.22601 0.93229 0.99285 1.04489 0.92459 0.92605 0.92205 0.89625 0.90718 0.89471 0.90679 0.90561 0.90039 0.76840 0.95385 0.95700 0.78562 0.93354 0.88985 0.90873 0.87937 0.90616 0.90238 0.90743 0.89452 0.90024 0.88509 0.93259 0.89665 0.88970 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 -1.37 9.34 37.16 0.35 -1.03 16 2 C -0.13 -1.11 4.59 -26.73 -0.12 -1.24 16 3 C -0.08 -0.79 0.28 -155.47 -0.04 -0.83 16 4 C 0.53 6.60 3.66 -10.98 -0.04 6.56 16 5 O -0.55 -8.23 13.07 5.56 0.07 -8.16 16 6 N -0.60 -7.21 2.96 -172.79 -0.51 -7.72 16 7 C 0.12 1.49 6.20 -3.71 -0.02 1.47 16 8 C -0.12 -1.54 5.11 -26.61 -0.14 -1.67 16 9 C 0.13 1.97 0.71 -90.57 -0.06 1.90 16 10 O -0.56 -8.79 11.71 -35.23 -0.41 -9.20 16 11 C 0.13 2.43 5.40 -4.04 -0.02 2.41 16 12 N -0.73 -16.85 5.07 -59.90 -0.30 -17.16 16 13 C -0.24 -6.45 9.99 -15.06 -0.15 -6.60 16 14 H 0.07 1.83 7.83 -52.48 -0.41 1.42 16 15 C -0.01 -0.29 5.50 -17.43 -0.10 -0.38 16 16 N -0.93 -26.56 13.06 55.49 0.72 -25.83 16 17 Si 0.91 21.69 29.55 -169.99 -5.02 16.66 16 18 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 19 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16 20 H -0.29 -6.77 7.11 56.52 0.40 -6.37 16 21 C -0.16 -2.16 4.79 -26.63 -0.13 -2.28 16 22 C 0.09 1.01 3.80 -3.73 -0.01 1.00 16 23 C -0.13 -1.25 4.28 -26.50 -0.11 -1.37 16 24 C 0.05 0.51 6.56 37.30 0.24 0.76 16 25 O -0.38 -4.81 10.77 -35.23 -0.38 -5.19 16 26 C 0.06 0.68 6.62 37.21 0.25 0.92 16 27 C -0.16 -1.54 4.62 -26.59 -0.12 -1.66 16 28 H 0.06 0.48 6.90 -51.93 -0.36 0.12 16 29 H 0.05 0.60 6.89 -51.93 -0.36 0.24 16 30 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 31 H 0.09 0.73 4.56 -51.93 -0.24 0.49 16 32 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 33 H 0.09 1.14 7.00 -51.93 -0.36 0.78 16 34 H 0.07 0.98 7.81 -51.93 -0.41 0.57 16 35 H 0.08 0.99 8.14 -51.93 -0.42 0.57 16 36 H 0.08 1.06 8.14 -51.93 -0.42 0.63 16 37 H 0.38 6.03 7.85 45.56 0.36 6.39 16 38 H 0.03 0.57 8.14 -51.93 -0.42 0.14 16 39 H 0.03 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.38 8.87 5.58 -40.82 -0.23 8.65 16 41 H 0.26 7.14 8.31 -40.82 -0.34 6.80 16 42 H 0.09 1.40 6.83 -51.93 -0.35 1.05 16 43 H 0.07 1.00 8.14 -51.93 -0.42 0.58 16 44 H 0.10 0.99 2.47 -51.93 -0.13 0.86 16 45 H 0.08 0.86 7.76 -51.93 -0.40 0.46 16 46 H 0.08 0.80 6.82 -51.93 -0.35 0.44 16 47 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 48 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 49 H 0.08 1.09 5.58 -51.93 -0.29 0.80 16 50 H 0.10 0.95 8.14 -51.93 -0.42 0.53 16 51 H 0.05 0.62 7.38 -51.92 -0.38 0.23 16 52 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 53 H 0.09 0.87 4.94 -51.93 -0.26 0.62 16 LS Contribution 382.99 15.07 5.77 5.77 Total: -1.00 -30.32 382.99 -8.26 -38.58 By element: Atomic # 1 Polarization: 22.26 SS G_CDS: -7.96 Total: 14.30 kcal Atomic # 6 Polarization: -1.82 SS G_CDS: -0.24 Total: -2.06 kcal Atomic # 7 Polarization: -50.62 SS G_CDS: -0.09 Total: -50.71 kcal Atomic # 8 Polarization: -21.83 SS G_CDS: -0.72 Total: -22.55 kcal Atomic # 14 Polarization: 21.69 SS G_CDS: -5.02 Total: 16.66 kcal Total LS contribution 5.77 Total: 5.77 kcal Total: -30.32 -8.26 -38.58 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. ZINC001484962043.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 -70.373 kcal (2) G-P(sol) polarization free energy of solvation -30.321 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.693 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.257 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.578 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.951 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds