Wall clock time and date at job start Tue Mar 31 2020 20:36:05 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 1.42897 * 1 3 3 C 1.42897 * 113.99677 * 2 1 4 4 H 1.08998 * 109.47708 * 330.00809 * 3 2 1 5 5 C 1.53007 * 109.46716 * 90.00553 * 3 2 1 6 6 C 1.50699 * 109.47364 * 210.00072 * 3 2 1 7 7 O 1.21286 * 119.99705 * 355.00372 * 6 3 2 8 8 N 1.34775 * 120.00357 * 175.00423 * 6 3 2 9 9 C 1.46931 * 120.63017 * 359.72023 * 8 6 3 10 10 C 1.52757 * 109.00835 * 233.58937 * 9 8 6 11 11 C 1.53043 * 109.38073 * 305.58278 * 10 9 8 12 12 C 1.52998 * 109.46144 * 181.26200 * 11 10 9 13 13 H 1.08999 * 113.01375 * 189.01352 * 12 11 10 14 14 N 1.47791 * 113.82671 * 321.03498 * 12 11 10 15 15 C 1.36936 * 134.37271 * 270.31742 * 14 12 11 16 16 H 1.08003 * 120.00019 * 359.97438 * 15 14 12 17 17 C 1.38812 * 119.99897 * 180.02562 * 15 14 12 18 18 N 1.31621 * 119.99916 * 359.97438 * 17 15 14 19 19 Si 1.86800 * 119.99940 * 179.97438 * 17 15 14 20 20 H 1.48500 * 109.47252 * 359.97438 * 19 17 15 21 21 H 1.48497 * 109.47111 * 119.99596 * 19 17 15 22 22 H 1.48492 * 109.46903 * 239.99570 * 19 17 15 23 23 C 1.47786 * 91.24860 * 90.33223 * 14 12 11 24 24 C 1.52967 * 85.76406 * 23.87529 * 23 14 12 25 25 C 1.52799 * 121.29710 * 102.44969 * 24 23 14 26 26 C 1.53975 * 86.74100 * 101.24461 * 25 24 23 27 27 C 1.52802 * 121.29813 * 211.46739 * 24 23 14 28 28 C 1.53046 * 109.53549 * 61.24402 * 11 10 9 29 29 C 1.46930 * 120.63049 * 180.02562 * 8 6 3 30 30 H 1.09001 * 109.47196 * 299.99310 * 1 2 3 31 31 H 1.08997 * 109.47598 * 59.99558 * 1 2 3 32 32 H 1.09002 * 109.47062 * 179.97438 * 1 2 3 33 33 H 1.08998 * 109.47285 * 59.99979 * 5 3 2 34 34 H 1.09004 * 109.46669 * 179.97438 * 5 3 2 35 35 H 1.09001 * 109.47130 * 299.99889 * 5 3 2 36 36 H 1.08997 * 109.58034 * 353.42073 * 9 8 6 37 37 H 1.08997 * 109.58726 * 113.84315 * 9 8 6 38 38 H 1.09000 * 109.55978 * 185.55364 * 10 9 8 39 39 H 1.08989 * 109.36210 * 65.49773 * 10 9 8 40 40 H 1.09001 * 109.46293 * 301.22648 * 11 10 9 41 41 H 0.97000 * 119.99659 * 180.02562 * 18 17 15 42 42 H 1.08998 * 113.82441 * 269.66102 * 23 14 12 43 43 H 1.08996 * 113.93372 * 138.10356 * 23 14 12 44 44 H 1.08998 * 113.66771 * 215.70116 * 25 24 23 45 45 H 1.08992 * 113.67368 * 346.78338 * 25 24 23 46 46 H 1.09001 * 113.57384 * 270.03222 * 26 25 24 47 47 H 1.09001 * 113.64678 * 139.26606 * 26 25 24 48 48 H 1.09002 * 113.66858 * 13.21863 * 27 24 23 49 49 H 1.08997 * 113.66433 * 144.20312 * 27 24 23 50 50 H 1.09006 * 109.49355 * 178.68230 * 28 11 10 51 51 H 1.09001 * 109.49613 * 58.58682 * 28 11 10 52 52 H 1.09005 * 109.58311 * 246.15247 * 29 8 6 53 53 H 1.09000 * 109.58656 * 6.57938 * 29 8 6 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 2.0101 1.3055 0.0000 4 1 1.3448 1.9994 -0.5137 5 6 2.2176 1.7713 1.4426 6 6 3.3385 1.2640 -0.7104 7 8 3.7896 0.2046 -1.0915 8 7 4.0253 2.4041 -0.9223 9 6 3.4890 3.6958 -0.4720 10 6 3.4634 4.6632 -1.6540 11 6 4.8601 4.7441 -2.2744 12 6 4.8440 5.7364 -3.4388 13 1 5.7652 5.7248 -4.0214 14 7 3.6155 5.6755 -4.2581 15 6 3.2359 4.9615 -5.3632 16 1 3.9203 4.2569 -5.8122 17 6 1.9718 5.1440 -5.9068 18 7 1.1379 6.0030 -5.3599 19 14 1.4541 4.1704 -7.4147 20 1 2.5654 3.2791 -7.8340 21 1 0.2586 3.3521 -7.0891 22 1 1.1271 5.1066 -8.5200 23 6 2.9604 6.6928 -3.4095 24 6 4.3779 7.1400 -3.0480 25 6 5.0009 8.3865 -3.6746 26 6 4.6643 9.1095 -2.3574 27 6 4.6984 7.7295 -1.6753 28 6 5.2729 3.3626 -2.7875 29 6 5.3214 2.3798 -1.6140 30 1 -0.3634 0.5137 0.8900 31 1 -0.3634 0.5139 -0.8899 32 1 -0.3633 -1.0277 -0.0005 33 1 2.8829 1.0774 1.9563 34 1 2.6613 2.7669 1.4426 35 1 1.2568 1.8012 1.9565 36 1 2.4767 3.5586 -0.0920 37 1 4.1251 4.1013 0.3148 38 1 3.1605 5.6521 -1.3097 39 1 2.7543 4.3040 -2.3996 40 1 5.5732 5.0797 -1.5213 41 1 0.2544 6.1302 -5.7396 42 1 2.4034 6.2744 -2.5712 43 1 2.3932 7.4366 -3.9690 44 1 6.0707 8.2940 -3.8618 45 1 4.4500 8.7659 -4.5351 46 1 3.6778 9.5731 -2.3544 47 1 5.4494 9.7841 -2.0160 48 1 3.9060 7.5847 -0.9410 49 1 5.6822 7.4504 -1.2981 50 1 6.2579 3.4258 -3.2502 51 1 4.5468 3.0156 -3.5226 52 1 6.1102 2.6756 -0.9223 53 1 5.5176 1.3746 -1.9871 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001093358330.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 20:36:05 Heat of formation + Delta-G solvation = 7.557052 kcal Electronic energy + Delta-G solvation = -31876.752913 eV Core-core repulsion = 27944.574404 eV Total energy + Delta-G solvation = -3932.178509 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.06 seconds Orbital eigenvalues (eV) -40.63741 -39.82051 -37.85078 -36.74266 -35.03053 -33.07582 -32.03335 -30.96150 -30.45055 -27.25983 -26.91374 -26.46916 -25.30074 -24.40257 -23.27601 -23.13235 -22.30473 -20.67411 -19.87783 -18.83821 -17.53269 -17.07984 -16.75108 -16.48004 -15.88094 -15.27012 -15.13166 -14.79188 -14.71352 -14.52161 -14.45608 -14.22302 -13.78537 -13.52495 -13.19924 -13.04101 -12.91326 -12.56224 -12.42488 -12.30076 -12.02485 -11.88610 -11.85587 -11.58642 -11.25610 -11.21797 -11.04719 -10.92349 -10.87299 -10.67657 -10.51715 -10.33484 -10.17834 -10.07708 -9.92756 -9.73798 -9.46226 -9.35642 -9.31685 -9.07130 -8.72827 -8.38930 -6.80432 -5.75534 -3.05029 2.73649 2.86270 3.38675 3.46005 3.46710 3.85025 4.44757 4.48092 4.77759 4.88985 4.90592 5.01553 5.10432 5.15658 5.17359 5.21996 5.28268 5.30138 5.34236 5.36874 5.40942 5.49549 5.54573 5.56033 5.58441 5.61893 5.68111 5.82463 5.91161 5.96287 6.01463 6.02465 6.08047 6.16055 6.19779 6.26528 6.27928 6.42075 6.52325 6.56463 6.67862 6.72723 6.82629 6.87529 6.96971 6.99640 7.08015 7.28387 7.40114 7.53651 7.62197 8.01352 8.32249 9.07869 9.73843 10.64287 11.41315 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009281 B = 0.004613 C = 0.003635 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3016.352205 B = 6068.706261 C = 7702.020096 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.361 6.361 3 C 0.069 3.931 4 H 0.089 0.911 5 C -0.176 4.176 6 C 0.518 3.482 7 O -0.529 6.529 8 N -0.602 5.602 9 C 0.099 3.901 10 C -0.129 4.129 11 C -0.084 4.084 12 C 0.156 3.844 13 H 0.051 0.949 14 N -0.593 5.593 15 C -0.212 4.212 16 H 0.076 0.924 17 C -0.007 4.007 18 N -0.921 5.921 19 Si 0.903 3.097 20 H -0.280 1.280 21 H -0.292 1.292 22 H -0.291 1.291 23 C 0.176 3.824 24 C -0.117 4.117 25 C -0.110 4.110 26 C -0.139 4.139 27 C -0.130 4.130 28 C -0.125 4.125 29 C 0.116 3.884 30 H 0.042 0.958 31 H 0.046 0.954 32 H 0.089 0.911 33 H 0.068 0.932 34 H 0.079 0.921 35 H 0.068 0.932 36 H 0.080 0.920 37 H 0.065 0.935 38 H 0.082 0.918 39 H 0.086 0.914 40 H 0.061 0.939 41 H 0.251 0.749 42 H 0.041 0.959 43 H 0.066 0.934 44 H 0.070 0.930 45 H 0.066 0.934 46 H 0.076 0.924 47 H 0.056 0.944 48 H 0.061 0.939 49 H 0.072 0.928 50 H 0.066 0.934 51 H 0.077 0.923 52 H 0.062 0.938 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.844 0.018 14.451 14.953 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 -0.069 4.069 2 O -0.279 6.279 3 C 0.008 3.992 4 H 0.106 0.894 5 C -0.233 4.233 6 C 0.305 3.695 7 O -0.405 6.405 8 N -0.337 5.337 9 C -0.024 4.024 10 C -0.166 4.166 11 C -0.105 4.105 12 C 0.048 3.952 13 H 0.069 0.931 14 N -0.316 5.316 15 C -0.340 4.340 16 H 0.094 0.906 17 C -0.203 4.203 18 N -0.568 5.568 19 Si 0.734 3.266 20 H -0.206 1.206 21 H -0.220 1.220 22 H -0.219 1.219 23 C 0.052 3.948 24 C -0.119 4.119 25 C -0.147 4.147 26 C -0.176 4.176 27 C -0.169 4.169 28 C -0.163 4.163 29 C -0.006 4.006 30 H 0.061 0.939 31 H 0.064 0.936 32 H 0.107 0.893 33 H 0.087 0.913 34 H 0.098 0.902 35 H 0.087 0.913 36 H 0.099 0.901 37 H 0.084 0.916 38 H 0.100 0.900 39 H 0.105 0.895 40 H 0.079 0.921 41 H 0.061 0.939 42 H 0.058 0.942 43 H 0.085 0.915 44 H 0.089 0.911 45 H 0.085 0.915 46 H 0.094 0.906 47 H 0.074 0.926 48 H 0.080 0.920 49 H 0.091 0.909 50 H 0.085 0.915 51 H 0.095 0.905 52 H 0.080 0.920 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges 3.958 -0.844 13.946 14.522 hybrid contribution -0.698 -0.308 -0.878 1.163 sum 3.261 -1.152 13.068 13.518 Atomic orbital electron populations 1.22882 0.80695 1.03085 1.00204 1.88018 1.19618 1.25308 1.94954 1.21922 0.93915 0.86747 0.96665 0.89373 1.22396 1.03348 1.02546 0.95054 1.20289 0.85967 0.83781 0.79502 1.90681 1.69303 1.29640 1.50887 1.48010 1.21334 1.06441 1.57919 1.22032 0.98854 0.83605 0.97860 1.22190 0.98976 0.98610 0.96858 1.21396 0.96024 0.95223 0.97881 1.21982 0.91907 0.91007 0.90296 0.93092 1.45961 1.11770 1.46405 1.27512 1.18996 0.97618 1.16405 1.00977 0.90582 1.24682 0.96463 0.99836 0.99328 1.69820 1.07488 1.37821 1.41691 0.86175 0.78311 0.79266 0.82855 1.20571 1.21950 1.21855 1.22265 0.89859 0.90595 0.92117 1.23299 1.00874 0.93532 0.94145 1.22466 0.99712 0.95681 0.96858 1.22799 1.01053 0.96178 0.97592 1.22748 1.00750 0.96312 0.97046 1.21872 1.02091 0.94910 0.97396 1.21615 0.83460 1.01389 0.94149 0.93920 0.93573 0.89268 0.91251 0.90182 0.91305 0.90146 0.91631 0.89967 0.89508 0.92088 0.93915 0.94161 0.91533 0.91094 0.91492 0.90579 0.92571 0.92021 0.90941 0.91496 0.90475 0.91979 0.89523 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.30 10.82 101.05 1.09 1.39 16 2 O -0.36 -5.39 9.89 -55.09 -0.54 -5.94 16 3 C 0.07 0.93 2.30 -27.88 -0.06 0.87 16 4 H 0.09 1.11 7.06 -51.93 -0.37 0.75 16 5 C -0.18 -1.77 9.10 37.16 0.34 -1.43 16 6 C 0.52 8.59 7.12 -10.99 -0.08 8.52 16 7 O -0.53 -10.87 15.92 -14.31 -0.23 -11.10 16 8 N -0.60 -8.83 2.98 -173.05 -0.52 -9.35 16 9 C 0.10 1.22 4.94 -3.93 -0.02 1.20 16 10 C -0.13 -1.96 3.59 -26.83 -0.10 -2.06 16 11 C -0.08 -1.28 1.87 -90.57 -0.17 -1.45 16 12 C 0.16 2.85 4.23 -67.24 -0.28 2.57 16 13 H 0.05 0.96 8.14 -51.93 -0.42 0.54 16 14 N -0.59 -13.66 2.82 -175.43 -0.50 -14.16 16 15 C -0.21 -5.63 10.70 -15.06 -0.16 -5.79 16 16 H 0.08 2.02 7.83 -52.48 -0.41 1.61 16 17 C -0.01 -0.19 5.50 -17.43 -0.10 -0.29 16 18 N -0.92 -26.19 11.40 55.49 0.63 -25.56 16 19 Si 0.90 22.13 29.55 -169.99 -5.02 17.11 16 20 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 21 H -0.29 -7.28 7.11 56.52 0.40 -6.88 16 22 H -0.29 -7.21 7.11 56.52 0.40 -6.80 16 23 C 0.18 3.74 6.30 -3.36 -0.02 3.72 16 24 C -0.12 -1.98 0.86 -154.92 -0.13 -2.12 16 25 C -0.11 -1.74 7.86 -26.33 -0.21 -1.95 16 26 C -0.14 -1.85 8.08 -25.73 -0.21 -2.06 16 27 C -0.13 -1.74 6.52 -26.32 -0.17 -1.91 16 28 C -0.12 -1.96 5.36 -26.63 -0.14 -2.10 16 29 C 0.12 1.68 6.43 -3.73 -0.02 1.65 16 30 H 0.04 0.36 7.87 -51.93 -0.41 -0.05 16 31 H 0.05 0.49 8.08 -51.93 -0.42 0.07 16 32 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 33 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 34 H 0.08 0.69 5.43 -51.93 -0.28 0.41 16 35 H 0.07 0.57 7.87 -51.93 -0.41 0.16 16 36 H 0.08 0.88 4.68 -51.93 -0.24 0.63 16 37 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 38 H 0.08 1.21 4.52 -51.93 -0.23 0.98 16 39 H 0.09 1.73 7.14 -51.94 -0.37 1.36 16 40 H 0.06 0.82 7.90 -51.93 -0.41 0.41 16 41 H 0.25 7.02 8.31 -40.82 -0.34 6.68 16 42 H 0.04 0.85 4.90 -51.93 -0.25 0.59 16 43 H 0.07 1.65 7.20 -51.93 -0.37 1.27 16 44 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 45 H 0.07 1.19 8.14 -51.93 -0.42 0.77 16 46 H 0.08 1.03 8.14 -51.93 -0.42 0.61 16 47 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 48 H 0.06 0.78 7.37 -51.93 -0.38 0.40 16 49 H 0.07 0.88 8.09 -51.93 -0.42 0.46 16 50 H 0.07 0.97 8.14 -51.93 -0.42 0.55 16 51 H 0.08 1.51 8.14 -51.93 -0.42 1.09 16 52 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 53 H 0.09 1.38 7.00 -51.93 -0.36 1.01 16 LS Contribution 396.29 15.07 5.97 5.97 Total: -1.00 -32.04 396.29 -9.78 -41.82 By element: Atomic # 1 Polarization: 11.58 SS G_CDS: -9.14 Total: 2.44 kcal Atomic # 6 Polarization: -0.79 SS G_CDS: -0.45 Total: -1.24 kcal Atomic # 7 Polarization: -48.69 SS G_CDS: -0.38 Total: -49.07 kcal Atomic # 8 Polarization: -16.27 SS G_CDS: -0.77 Total: -17.04 kcal Atomic # 14 Polarization: 22.13 SS G_CDS: -5.02 Total: 17.11 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -32.04 -9.78 -41.82 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. ZINC001093358330.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 49.379 kcal (2) G-P(sol) polarization free energy of solvation -32.038 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 17.341 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.784 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.822 kcal (6) G-S(sol) free energy of system = (1) + (5) 7.557 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds