Wall clock time and date at job start Sat Apr 11 2020 06:11:24 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 1.53001 * 1 3 3 C 1.53001 * 109.47130 * 2 1 4 4 H 1.08998 * 109.46741 * 54.30536 * 3 2 1 5 5 C 1.50699 * 109.46790 * 174.29492 * 3 2 1 6 6 H 1.08007 * 120.00000 * 120.00539 * 5 3 2 7 7 C 1.37876 * 120.00425 * 300.00499 * 5 3 2 8 8 N 1.31513 * 120.00013 * 180.02562 * 7 5 3 9 9 Si 1.86798 * 119.99804 * 359.97438 * 7 5 3 10 10 H 1.48504 * 109.46994 * 90.00343 * 9 7 5 11 11 H 1.48501 * 109.47204 * 210.00046 * 9 7 5 12 12 H 1.48494 * 109.47385 * 330.00457 * 9 7 5 13 13 N 1.46897 * 109.47564 * 294.29673 * 3 2 1 14 14 C 1.46900 * 111.00148 * 153.97964 * 13 3 2 15 15 H 1.09000 * 110.34466 * 29.85767 * 14 13 3 16 16 C 1.53929 * 110.39213 * 267.43622 * 14 13 3 17 17 O 1.42286 * 107.54372 * 243.67627 * 16 14 13 18 18 C 1.43969 * 108.47977 * 335.31081 * 17 16 14 19 19 H 1.08994 * 113.46078 * 272.27220 * 18 17 16 20 20 C 1.54603 * 109.29766 * 144.45327 * 18 17 16 21 21 N 1.47247 * 105.40148 * 285.63509 * 20 18 17 22 22 C 1.34772 * 125.61728 * 156.15091 * 21 20 18 23 23 O 1.21509 * 120.00377 * 180.02562 * 22 21 20 24 24 O 1.34643 * 120.00156 * 0.03225 * 22 21 20 25 25 C 1.45192 * 117.00195 * 180.02562 * 24 22 21 26 26 C 1.52994 * 109.47778 * 59.99011 * 25 24 22 27 27 C 1.53007 * 109.47160 * 179.97438 * 25 24 22 28 28 C 1.53008 * 109.46727 * 299.99182 * 25 24 22 29 29 C 1.46887 * 108.76422 * 336.13013 * 21 20 18 30 30 C 1.53858 * 107.73119 * 2.29043 * 29 21 20 31 31 H 1.09002 * 113.90373 * 256.11322 * 30 29 21 32 32 H 1.09000 * 109.47362 * 178.70365 * 1 2 3 33 33 H 1.09002 * 109.47109 * 298.70901 * 1 2 3 34 34 H 1.08999 * 109.46931 * 58.70558 * 1 2 3 35 35 H 1.09000 * 109.46782 * 240.00507 * 2 1 3 36 36 H 1.08999 * 109.47030 * 120.00736 * 2 1 3 37 37 H 0.97005 * 120.00260 * 180.02562 * 8 7 5 38 38 H 1.00906 * 110.99843 * 30.02857 * 13 3 2 39 39 H 1.08995 * 109.86309 * 3.84236 * 16 14 13 40 40 H 1.09001 * 109.86012 * 124.93354 * 16 14 13 41 41 H 1.08997 * 110.26015 * 44.61939 * 20 18 17 42 42 H 1.09007 * 110.25618 * 166.65701 * 20 18 17 43 43 H 1.09003 * 109.46801 * 60.00143 * 26 25 24 44 44 H 1.09001 * 109.47612 * 179.97438 * 26 25 24 45 45 H 1.09002 * 109.47399 * 300.00578 * 26 25 24 46 46 H 1.08997 * 109.47233 * 59.98957 * 27 25 24 47 47 H 1.08998 * 109.46605 * 179.97438 * 27 25 24 48 48 H 1.09000 * 109.46451 * 299.98985 * 27 25 24 49 49 H 1.08995 * 109.47104 * 60.00666 * 28 25 24 50 50 H 1.09001 * 109.47108 * 180.02562 * 28 25 24 51 51 H 1.08998 * 109.47033 * 300.00048 * 28 25 24 52 52 H 1.08999 * 109.80483 * 242.72483 * 29 21 20 53 53 H 1.09007 * 109.80426 * 121.84539 * 29 21 20 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 1 1.5958 1.9849 0.8346 5 6 3.5404 1.4448 0.1412 6 1 4.1547 1.8862 -0.6296 7 6 4.1289 0.8833 1.2545 8 7 5.4383 0.8858 1.3779 9 14 3.0665 0.1204 2.5881 10 1 2.8481 -1.3169 2.2852 11 1 3.7492 0.2516 3.9004 12 1 1.7576 0.8199 2.6389 13 7 1.6660 2.0942 -1.2622 14 6 1.5617 3.5496 -1.0926 15 1 2.2443 3.8903 -0.3140 16 6 0.1142 3.9476 -0.7521 17 8 -0.3699 4.7570 -1.8174 18 6 0.7559 5.3696 -2.4732 19 1 1.0572 6.3160 -2.0244 20 6 0.4724 5.4680 -3.9898 21 7 0.6216 4.0968 -4.5053 22 6 0.0526 3.6140 -5.6275 23 8 0.2452 2.4608 -5.9587 24 8 -0.7292 4.4093 -6.3819 25 6 -1.3094 3.8221 -7.5763 26 6 -2.1889 2.6331 -7.1846 27 6 -2.1601 4.8694 -8.2979 28 6 -0.1909 3.3451 -8.5050 29 6 1.4933 3.3421 -3.5952 30 6 1.8629 4.2692 -2.4242 31 1 2.8760 4.6677 -2.4792 32 1 -0.3634 -1.0274 -0.0232 33 1 -0.3633 0.4937 0.9014 34 1 -0.3633 0.5338 -0.8781 35 1 1.8933 -0.5138 -0.8900 36 1 1.8933 -0.5139 0.8899 37 1 5.8524 0.4904 2.1610 38 1 0.8071 1.7102 -1.6268 39 1 -0.5002 3.0537 -0.6452 40 1 0.0965 4.5241 0.1728 41 1 -0.5422 5.8275 -4.1615 42 1 1.1944 6.1311 -4.4664 43 1 -2.9857 2.9730 -6.5230 44 1 -2.6248 2.1926 -8.0813 45 1 -1.5832 1.8869 -6.6704 46 1 -1.5338 5.7168 -8.5769 47 1 -2.5952 4.4286 -9.1948 48 1 -2.9569 5.2088 -7.6361 49 1 0.4148 2.5989 -7.9908 50 1 -0.6264 2.9046 -9.4019 51 1 0.4357 4.1922 -8.7841 52 1 2.3966 3.0327 -4.1209 53 1 0.9649 2.4657 -3.2198 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 ZINC001255151428.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 06:11:24 Heat of formation + Delta-G solvation = -99.782256 kcal Electronic energy + Delta-G solvation = -32197.141136 eV Core-core repulsion = 28069.851994 eV Total energy + Delta-G solvation = -4127.289142 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -41.06825 -40.18638 -37.34856 -36.54542 -35.58966 -34.08209 -33.04008 -31.95414 -30.36250 -29.02659 -27.59682 -27.50456 -27.48378 -26.47052 -24.49272 -22.68935 -21.75313 -21.36342 -20.21975 -19.76309 -19.31672 -17.99759 -16.95190 -16.75618 -16.59413 -16.07284 -15.67961 -15.42839 -15.19454 -14.65168 -14.62547 -14.21680 -14.06220 -13.75353 -13.72989 -13.22946 -12.89516 -12.72384 -12.67386 -12.51963 -12.42604 -12.38464 -12.29038 -12.03645 -11.98741 -11.83888 -11.61151 -11.59877 -11.37922 -11.35247 -10.99415 -10.86023 -10.66775 -10.43537 -10.38263 -10.28590 -10.09427 -10.03665 -9.66866 -9.46913 -9.24845 -8.60201 -8.57562 -7.54074 -6.09093 -4.06749 2.11110 2.92076 3.22194 3.31665 3.34544 3.68752 3.85788 4.35685 4.45151 4.52730 4.57003 4.60767 4.75156 4.88727 4.91489 5.08435 5.20623 5.26569 5.27903 5.33278 5.36627 5.39697 5.51176 5.51353 5.56844 5.60519 5.64818 5.68335 5.71650 5.72629 5.77960 5.79965 5.88946 5.96109 6.12382 6.17089 6.17793 6.23978 6.24095 6.38156 6.41804 6.48506 6.54393 6.62597 6.72967 7.02387 7.09168 7.53933 7.64376 7.81966 8.08570 8.40652 8.66048 9.02987 9.53546 11.04052 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018027 B = 0.002917 C = 0.002819 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1552.872358 B = 9597.438643 C = 9931.635616 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.158 4.158 2 C -0.137 4.137 3 C 0.189 3.811 4 H 0.003 0.997 5 C -0.497 4.497 6 H 0.082 0.918 7 C 0.068 3.932 8 N -0.899 5.899 9 Si 0.881 3.119 10 H -0.279 1.279 11 H -0.298 1.298 12 H -0.268 1.268 13 N -0.663 5.663 14 C 0.071 3.929 15 H 0.105 0.895 16 C 0.023 3.977 17 O -0.368 6.368 18 C 0.061 3.939 19 H 0.105 0.895 20 C 0.109 3.891 21 N -0.599 5.599 22 C 0.667 3.333 23 O -0.566 6.566 24 O -0.364 6.364 25 C 0.136 3.864 26 C -0.184 4.184 27 C -0.139 4.139 28 C -0.183 4.183 29 C 0.146 3.854 30 C -0.116 4.116 31 H 0.113 0.887 32 H 0.047 0.953 33 H 0.045 0.955 34 H 0.048 0.952 35 H 0.069 0.931 36 H 0.055 0.945 37 H 0.263 0.737 38 H 0.325 0.675 39 H 0.080 0.920 40 H 0.057 0.943 41 H 0.085 0.915 42 H 0.081 0.919 43 H 0.059 0.941 44 H 0.068 0.932 45 H 0.089 0.911 46 H 0.065 0.935 47 H 0.078 0.922 48 H 0.066 0.934 49 H 0.089 0.911 50 H 0.068 0.932 51 H 0.058 0.942 52 H 0.074 0.926 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.247 10.248 -14.130 22.531 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 -0.216 4.216 2 C -0.175 4.175 3 C 0.081 3.919 4 H 0.021 0.979 5 C -0.536 4.536 6 H 0.100 0.900 7 C -0.134 4.134 8 N -0.538 5.538 9 Si 0.712 3.288 10 H -0.206 1.206 11 H -0.225 1.225 12 H -0.193 1.193 13 N -0.295 5.295 14 C -0.042 4.042 15 H 0.123 0.877 16 C -0.056 4.056 17 O -0.287 6.287 18 C 0.003 3.997 19 H 0.123 0.877 20 C -0.014 4.014 21 N -0.339 5.339 22 C 0.422 3.578 23 O -0.455 6.455 24 O -0.279 6.279 25 C 0.099 3.901 26 C -0.241 4.241 27 C -0.196 4.196 28 C -0.240 4.240 29 C 0.025 3.975 30 C -0.135 4.135 31 H 0.131 0.869 32 H 0.066 0.934 33 H 0.064 0.936 34 H 0.067 0.933 35 H 0.088 0.912 36 H 0.073 0.927 37 H 0.073 0.927 38 H 0.146 0.854 39 H 0.098 0.902 40 H 0.075 0.925 41 H 0.104 0.896 42 H 0.099 0.901 43 H 0.078 0.922 44 H 0.087 0.913 45 H 0.108 0.892 46 H 0.084 0.916 47 H 0.097 0.903 48 H 0.085 0.915 49 H 0.108 0.892 50 H 0.087 0.913 51 H 0.077 0.923 52 H 0.092 0.908 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges -13.689 9.812 -14.546 22.254 hybrid contribution -1.084 -0.568 1.455 1.901 sum -14.773 9.244 -13.091 21.796 Atomic orbital electron populations 1.21936 0.98201 1.00781 1.00634 1.22140 0.92927 1.00410 1.02037 1.19681 0.97050 0.89365 0.85785 0.97925 1.21006 0.88942 1.37773 1.05846 0.89984 1.24956 0.94737 0.95909 0.97770 1.69879 1.08948 1.45650 1.29278 0.86967 0.80707 0.79895 0.81274 1.20576 1.22525 1.19318 1.60651 1.37075 1.00706 1.31056 1.22782 0.94493 0.90850 0.96032 0.87670 1.23858 0.96463 0.95065 0.90200 1.88404 1.29695 1.63502 1.47112 1.24193 0.86611 0.96942 0.91993 0.87723 1.22243 1.02961 0.83958 0.92233 1.47120 1.50466 1.13759 1.22596 1.17414 0.77804 0.82780 0.79753 1.90909 1.65362 1.17185 1.72027 1.86289 1.60873 1.43776 1.36992 1.22026 0.92875 0.93637 0.81557 1.22517 1.00133 0.98793 1.02640 1.21846 0.99458 0.98434 0.99909 1.22518 0.98997 1.02931 0.99596 1.21746 0.93416 0.94589 0.87752 1.23555 0.99803 0.94900 0.95292 0.86891 0.93416 0.93565 0.93284 0.91185 0.92655 0.92678 0.85437 0.90175 0.92513 0.89628 0.90104 0.92242 0.91313 0.89230 0.91570 0.90273 0.91540 0.89225 0.91300 0.92283 0.90808 0.89373 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -2.64 9.77 37.16 0.36 -2.28 16 2 C -0.14 -2.83 5.00 -26.73 -0.13 -2.96 16 3 C 0.19 4.11 1.46 -68.87 -0.10 4.01 16 4 H 0.00 0.07 6.90 -51.93 -0.36 -0.29 16 5 C -0.50 -13.23 9.19 -34.44 -0.32 -13.55 16 6 H 0.08 2.42 8.06 -52.48 -0.42 1.99 16 7 C 0.07 1.88 5.45 -17.82 -0.10 1.79 16 8 N -0.90 -26.81 13.96 55.43 0.77 -26.03 16 9 Si 0.88 21.22 24.42 -169.99 -4.15 17.07 16 10 H -0.28 -6.61 6.82 56.52 0.39 -6.23 16 11 H -0.30 -7.26 7.11 56.52 0.40 -6.86 16 12 H -0.27 -6.13 6.53 56.52 0.37 -5.76 16 13 N -0.66 -12.23 4.86 -99.72 -0.48 -12.71 16 14 C 0.07 1.12 2.91 -66.53 -0.19 0.93 16 15 H 0.11 1.85 7.70 -51.93 -0.40 1.45 16 16 C 0.02 0.33 7.34 37.64 0.28 0.61 16 17 O -0.37 -5.24 10.88 -35.23 -0.38 -5.62 16 18 C 0.06 0.72 4.62 -24.19 -0.11 0.60 16 19 H 0.11 0.98 8.14 -51.93 -0.42 0.55 16 20 C 0.11 1.23 6.56 -2.79 -0.02 1.22 16 21 N -0.60 -8.51 3.32 -177.04 -0.59 -9.09 16 22 C 0.67 10.23 7.92 54.05 0.43 10.66 16 23 O -0.57 -9.90 12.21 -19.28 -0.24 -10.13 16 24 O -0.36 -4.83 9.41 -40.33 -0.38 -5.21 16 25 C 0.14 1.47 1.13 -90.61 -0.10 1.37 16 26 C -0.18 -2.00 8.37 37.15 0.31 -1.69 16 27 C -0.14 -1.07 8.85 37.16 0.33 -0.74 16 28 C -0.18 -1.93 8.37 37.16 0.31 -1.62 16 29 C 0.15 2.20 5.89 -3.38 -0.02 2.18 16 30 C -0.12 -1.58 4.14 -87.78 -0.36 -1.94 16 31 H 0.11 1.44 8.14 -51.93 -0.42 1.02 16 32 H 0.05 0.72 8.14 -51.93 -0.42 0.30 16 33 H 0.05 0.76 8.14 -51.93 -0.42 0.33 16 34 H 0.05 0.75 6.43 -51.93 -0.33 0.41 16 35 H 0.07 1.46 8.14 -51.93 -0.42 1.04 16 36 H 0.06 1.23 3.22 -51.93 -0.17 1.07 16 37 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 38 H 0.32 5.63 4.45 -39.29 -0.17 5.45 16 39 H 0.08 1.19 7.54 -51.93 -0.39 0.79 16 40 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 41 H 0.09 0.96 8.04 -51.93 -0.42 0.54 16 42 H 0.08 0.74 8.14 -51.92 -0.42 0.32 16 43 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 44 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 45 H 0.09 1.23 5.88 -51.93 -0.31 0.92 16 46 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 47 H 0.08 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 49 H 0.09 1.19 5.88 -51.93 -0.31 0.89 16 50 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 51 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 52 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 53 H 0.09 1.49 5.51 -51.93 -0.29 1.21 16 LS Contribution 396.52 15.07 5.98 5.98 Total: -1.00 -30.98 396.52 -8.00 -38.98 By element: Atomic # 1 Polarization: 17.27 SS G_CDS: -9.09 Total: 8.18 kcal Atomic # 6 Polarization: -1.97 SS G_CDS: 0.56 Total: -1.41 kcal Atomic # 7 Polarization: -47.54 SS G_CDS: -0.30 Total: -47.84 kcal Atomic # 8 Polarization: -19.96 SS G_CDS: -1.00 Total: -20.96 kcal Atomic # 14 Polarization: 21.22 SS G_CDS: -4.15 Total: 17.07 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -30.98 -8.00 -38.98 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. ZINC001255151428.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 -60.804 kcal (2) G-P(sol) polarization free energy of solvation -30.982 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -91.786 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.996 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.979 kcal (6) G-S(sol) free energy of system = (1) + (5) -99.782 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds