Wall clock time and date at job start Sat Apr 11 2020 06:10:40 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 H 1.09000 * 109.47033 * 2 1 4 4 C 1.53004 * 109.47081 * 120.00380 * 2 1 3 5 5 N 1.46498 * 109.46793 * 294.99680 * 4 2 1 6 6 C 1.34779 * 119.99679 * 180.02562 * 5 4 2 7 7 O 1.21505 * 120.00204 * 359.97438 * 6 5 4 8 8 O 1.34634 * 119.99597 * 180.02562 * 6 5 4 9 9 C 1.45201 * 116.99838 * 179.97438 * 8 6 5 10 10 C 1.52998 * 109.47318 * 59.99894 * 9 8 6 11 11 C 1.53000 * 109.47440 * 179.97438 * 9 8 6 12 12 C 1.53008 * 109.47154 * 299.99676 * 9 8 6 13 13 C 1.50701 * 109.46820 * 240.00162 * 2 1 3 14 14 O 1.21284 * 119.99862 * 334.74900 * 13 2 1 15 15 N 1.34779 * 119.99955 * 154.75597 * 13 2 1 16 16 C 1.46927 * 120.62848 * 4.92890 * 15 13 2 17 17 C 1.53626 * 108.53906 * 126.37235 * 16 15 13 18 18 C 1.53047 * 109.24220 * 54.85661 * 17 16 15 19 19 C 1.50701 * 109.44442 * 178.49635 * 18 17 16 20 20 H 1.08004 * 119.99885 * 120.06629 * 19 18 17 21 21 C 1.37878 * 120.00036 * 300.05717 * 19 18 17 22 22 N 1.31510 * 120.00038 * 0.02562 * 21 19 18 23 23 Si 1.86799 * 119.99768 * 180.02562 * 21 19 18 24 24 H 1.48497 * 109.47572 * 60.00117 * 23 21 19 25 25 H 1.48501 * 109.47051 * 180.02562 * 23 21 19 26 26 H 1.48502 * 109.47261 * 299.99848 * 23 21 19 27 27 C 1.53032 * 109.53568 * 298.50773 * 18 17 16 28 28 C 1.46932 * 120.62930 * 185.21422 * 15 13 2 29 29 H 1.09004 * 109.47136 * 55.09167 * 1 2 3 30 30 H 1.08997 * 109.47352 * 175.09320 * 1 2 3 31 31 H 1.09009 * 109.46936 * 295.09515 * 1 2 3 32 32 H 1.08991 * 109.47272 * 54.99949 * 4 2 1 33 33 H 1.08997 * 109.47053 * 174.99863 * 4 2 1 34 34 H 0.96997 * 120.00375 * 0.02562 * 5 4 2 35 35 H 1.08994 * 109.47525 * 59.99930 * 10 9 8 36 36 H 1.08998 * 109.47034 * 180.02562 * 10 9 8 37 37 H 1.09004 * 109.46946 * 299.99686 * 10 9 8 38 38 H 1.09005 * 109.47220 * 59.99861 * 11 9 8 39 39 H 1.08999 * 109.47491 * 179.97438 * 11 9 8 40 40 H 1.09005 * 109.47157 * 300.00228 * 11 9 8 41 41 H 1.09001 * 109.46621 * 59.99901 * 12 9 8 42 42 H 1.08999 * 109.47195 * 180.02562 * 12 9 8 43 43 H 1.09000 * 109.46871 * 300.00593 * 12 9 8 44 44 H 1.08998 * 109.58343 * 246.20283 * 16 15 13 45 45 H 1.08999 * 109.58837 * 6.62890 * 16 15 13 46 46 H 1.08994 * 109.63465 * 294.86311 * 17 16 15 47 47 H 1.09008 * 109.42925 * 174.72387 * 17 16 15 48 48 H 1.08999 * 109.45603 * 58.53020 * 18 17 16 49 49 H 0.97003 * 119.99947 * 179.97438 * 22 21 19 50 50 H 1.09004 * 109.50284 * 301.41226 * 27 18 17 51 51 H 1.09001 * 109.52157 * 181.33198 * 27 18 17 52 52 H 1.08994 * 109.58407 * 353.37118 * 28 15 13 53 53 H 1.08997 * 109.58374 * 113.65163 * 28 15 13 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 1 1.8933 1.0277 0.0000 4 6 2.0400 -0.7214 1.2492 5 7 1.6524 0.0353 2.4423 6 6 1.9965 -0.4132 3.6659 7 8 2.6276 -1.4453 3.7794 8 8 1.6399 0.2818 4.7624 9 6 2.0439 -0.2608 6.0471 10 6 3.5696 -0.3604 6.1017 11 6 1.5531 0.6593 7.1666 12 6 1.4351 -1.6530 6.2269 13 6 2.0322 -0.7104 -1.2305 14 8 1.3387 -1.5426 -1.7758 15 7 3.2522 -0.4210 -1.7249 16 6 4.1470 0.5041 -1.0161 17 6 5.4976 -0.1944 -0.7969 18 6 6.0373 -0.6828 -2.1432 19 6 7.3797 -1.3362 -1.9383 20 1 7.5240 -2.3711 -2.2118 21 6 8.4238 -0.6130 -1.4018 22 7 8.2481 0.6470 -1.0685 23 14 10.0880 -1.4228 -1.1485 24 1 10.6127 -1.8951 -2.4550 25 1 11.0329 -0.4391 -0.5615 26 1 9.9412 -2.5781 -0.2272 27 6 5.0635 -1.6969 -2.7475 28 6 3.7102 -1.0199 -2.9861 29 1 -0.3633 0.5881 -0.8428 30 1 -0.3634 -1.0238 -0.0879 31 1 -0.3633 0.4359 0.9307 32 1 1.6054 -1.7198 1.2951 33 1 3.1263 -0.7996 1.2056 34 1 1.1483 0.8590 2.3518 35 1 4.0033 0.6313 5.9736 36 1 3.8729 -0.7682 7.0660 37 1 3.9197 -1.0159 5.3042 38 1 0.4660 0.7307 7.1280 39 1 1.8560 0.2517 8.1311 40 1 1.9870 1.6510 7.0384 41 1 1.7852 -2.3083 5.4294 42 1 1.7381 -2.0602 7.1916 43 1 0.3481 -1.5820 6.1880 44 1 4.2907 1.4038 -1.6145 45 1 3.7104 0.7690 -0.0532 46 1 5.3658 -1.0446 -0.1277 47 1 6.2029 0.5102 -0.3561 48 1 6.1454 0.1648 -2.8200 49 1 8.9826 1.1557 -0.6908 50 1 4.9358 -2.5331 -2.0600 51 1 5.4596 -2.0622 -3.6950 52 1 2.9853 -1.7607 -3.3232 53 1 3.8165 -0.2422 -3.7424 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 ZINC000495816915.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 06:10:40 Heat of formation + Delta-G solvation = -134.669314 kcal Electronic energy + Delta-G solvation = -31403.032100 eV Core-core repulsion = 27274.230142 eV Total energy + Delta-G solvation = -4128.801958 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.67 seconds Orbital eigenvalues (eV) -40.88726 -40.03768 -37.72692 -36.92562 -35.59717 -34.24839 -33.54028 -32.40987 -31.10151 -30.05918 -27.61640 -27.52499 -26.90200 -26.30867 -24.06051 -22.73733 -22.30049 -21.52933 -20.38971 -19.63050 -18.59374 -17.84760 -17.27560 -16.70994 -16.33217 -16.18230 -15.66418 -15.36970 -14.83483 -14.74396 -14.56250 -14.30899 -14.19315 -13.60662 -13.50755 -13.13329 -13.05299 -12.75188 -12.71918 -12.68602 -12.47290 -12.28582 -12.12300 -12.09079 -12.05655 -11.71159 -11.60904 -11.47297 -11.36490 -11.31839 -11.06912 -10.92717 -10.68017 -10.50104 -10.41951 -10.16625 -10.11445 -9.71368 -9.44920 -9.27851 -9.19597 -8.95791 -8.39406 -8.06275 -6.04469 -4.10347 1.99215 2.79631 2.85547 3.30068 3.34480 3.36423 3.38162 4.02545 4.40559 4.52741 4.56880 4.59571 4.67049 4.71645 4.74325 5.13542 5.25482 5.25548 5.33967 5.37043 5.48866 5.50724 5.55573 5.57078 5.63136 5.66218 5.69362 5.77095 5.78340 5.86597 5.91749 6.03335 6.04148 6.11489 6.13031 6.15288 6.22846 6.28478 6.40507 6.41978 6.62544 6.85639 7.00333 7.11048 7.24287 7.30280 7.64043 7.84330 7.89530 8.01491 8.31123 8.38531 8.44875 8.92565 9.54956 11.01033 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009077 B = 0.003322 C = 0.002583 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3084.070050 B = 8425.920433 C =10839.510486 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.135 4.135 2 C -0.124 4.124 3 H 0.101 0.899 4 C 0.147 3.853 5 N -0.707 5.707 6 C 0.650 3.350 7 O -0.562 6.562 8 O -0.366 6.366 9 C 0.137 3.863 10 C -0.186 4.186 11 C -0.140 4.140 12 C -0.184 4.184 13 C 0.520 3.480 14 O -0.551 6.551 15 N -0.597 5.597 16 C 0.099 3.901 17 C -0.123 4.123 18 C 0.050 3.950 19 C -0.512 4.512 20 H 0.054 0.946 21 C 0.062 3.938 22 N -0.892 5.892 23 Si 0.890 3.110 24 H -0.278 1.278 25 H -0.287 1.287 26 H -0.277 1.277 27 C -0.124 4.124 28 C 0.111 3.889 29 H 0.061 0.939 30 H 0.071 0.929 31 H 0.060 0.940 32 H 0.079 0.921 33 H 0.084 0.916 34 H 0.405 0.595 35 H 0.061 0.939 36 H 0.069 0.931 37 H 0.090 0.910 38 H 0.065 0.935 39 H 0.079 0.921 40 H 0.067 0.933 41 H 0.089 0.911 42 H 0.069 0.931 43 H 0.058 0.942 44 H 0.064 0.936 45 H 0.068 0.932 46 H 0.040 0.960 47 H 0.105 0.895 48 H 0.027 0.973 49 H 0.261 0.739 50 H 0.053 0.947 51 H 0.060 0.940 52 H 0.079 0.921 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.486 3.833 11.917 19.912 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 -0.193 4.193 2 C -0.145 4.145 3 H 0.119 0.881 4 C 0.024 3.976 5 N -0.368 5.368 6 C 0.403 3.597 7 O -0.450 6.450 8 O -0.281 6.281 9 C 0.100 3.900 10 C -0.243 4.243 11 C -0.197 4.197 12 C -0.241 4.241 13 C 0.306 3.694 14 O -0.430 6.430 15 N -0.328 5.328 16 C -0.023 4.023 17 C -0.161 4.161 18 C 0.031 3.969 19 C -0.551 4.551 20 H 0.073 0.927 21 C -0.139 4.139 22 N -0.531 5.531 23 Si 0.719 3.281 24 H -0.203 1.203 25 H -0.213 1.213 26 H -0.203 1.203 27 C -0.162 4.162 28 C -0.011 4.011 29 H 0.080 0.920 30 H 0.090 0.910 31 H 0.079 0.921 32 H 0.097 0.903 33 H 0.102 0.898 34 H 0.240 0.760 35 H 0.080 0.920 36 H 0.088 0.912 37 H 0.109 0.891 38 H 0.084 0.916 39 H 0.098 0.902 40 H 0.086 0.914 41 H 0.107 0.893 42 H 0.088 0.912 43 H 0.077 0.923 44 H 0.082 0.918 45 H 0.086 0.914 46 H 0.059 0.941 47 H 0.123 0.877 48 H 0.045 0.955 49 H 0.071 0.929 50 H 0.071 0.929 51 H 0.079 0.921 52 H 0.097 0.903 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -15.396 3.026 11.832 19.652 hybrid contribution 0.934 0.083 0.213 0.961 sum -14.463 3.109 12.045 19.077 Atomic orbital electron populations 1.21681 0.92111 1.03771 1.01699 1.21555 0.98568 1.01274 0.93147 0.88095 1.21263 1.01301 0.94816 0.80204 1.44662 1.60195 1.28963 1.02936 1.18023 0.78414 0.81937 0.81371 1.90939 1.43286 1.24730 1.86047 1.86278 1.74464 1.52748 1.14652 1.22064 0.95221 0.93976 0.78746 1.22532 0.93815 1.03571 1.04350 1.21858 1.02165 0.99657 0.96038 1.22523 1.00941 0.96498 1.04140 1.20102 0.81385 0.82669 0.85253 1.90652 1.56873 1.33846 1.61581 1.48282 1.14724 1.45515 1.24317 1.22229 0.92420 0.92295 0.95356 1.22105 0.92585 1.00408 1.01053 1.18624 0.92305 0.93674 0.92296 1.21162 0.94951 0.97574 1.41368 0.92745 1.24944 0.98720 0.94830 0.95382 1.69815 1.32065 1.07859 1.43359 0.86679 0.83808 0.79183 0.78478 1.20314 1.21308 1.20294 1.22007 0.93666 0.99597 1.00899 1.21726 0.97430 0.97549 0.84392 0.91963 0.90980 0.92120 0.90262 0.89795 0.75973 0.92021 0.91179 0.89147 0.91579 0.90180 0.91429 0.89258 0.91174 0.92275 0.91778 0.91415 0.94088 0.87736 0.95479 0.92934 0.92854 0.92107 0.90283 0.92110 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 -0.13 -1.39 8.76 37.16 0.33 -1.07 16 2 C -0.12 -1.48 1.89 -91.77 -0.17 -1.66 16 3 H 0.10 1.04 6.73 -51.93 -0.35 0.69 16 4 C 0.15 1.90 4.75 -4.04 -0.02 1.88 16 5 N -0.71 -7.95 5.24 -65.28 -0.34 -8.29 16 6 C 0.65 8.76 8.06 54.06 0.44 9.19 16 7 O -0.56 -9.18 11.88 -19.28 -0.23 -9.41 16 8 O -0.37 -4.35 9.94 -40.31 -0.40 -4.75 16 9 C 0.14 1.40 1.13 -90.62 -0.10 1.30 16 10 C -0.19 -2.01 8.37 37.16 0.31 -1.70 16 11 C -0.14 -1.02 8.85 37.16 0.33 -0.69 16 12 C -0.18 -1.84 8.37 37.16 0.31 -1.53 16 13 C 0.52 8.40 6.80 -10.98 -0.07 8.33 16 14 O -0.55 -10.46 15.41 5.55 0.09 -10.37 16 15 N -0.60 -10.15 2.97 -172.50 -0.51 -10.67 16 16 C 0.10 1.67 5.95 -3.48 -0.02 1.65 16 17 C -0.12 -2.65 5.17 -26.38 -0.14 -2.79 16 18 C 0.05 1.16 2.06 -91.73 -0.19 0.97 16 19 C -0.51 -13.57 8.56 -34.44 -0.29 -13.87 16 20 H 0.05 1.45 7.74 -52.48 -0.41 1.04 16 21 C 0.06 1.66 5.30 -17.82 -0.09 1.57 16 22 N -0.89 -24.23 11.30 55.43 0.63 -23.61 16 23 Si 0.89 20.92 29.54 -169.99 -5.02 15.90 16 24 H -0.28 -6.48 7.11 56.52 0.40 -6.07 16 25 H -0.29 -6.70 7.11 56.52 0.40 -6.30 16 26 H -0.28 -6.53 7.11 56.52 0.40 -6.13 16 27 C -0.12 -2.49 5.30 -26.61 -0.14 -2.64 16 28 C 0.11 1.97 6.44 -3.71 -0.02 1.94 16 29 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 30 H 0.07 0.86 7.69 -51.93 -0.40 0.46 16 31 H 0.06 0.48 7.07 -51.92 -0.37 0.11 16 32 H 0.08 1.12 8.14 -51.93 -0.42 0.69 16 33 H 0.08 1.27 7.19 -51.93 -0.37 0.89 16 34 H 0.41 3.44 7.76 -40.82 -0.32 3.12 16 35 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 36 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 37 H 0.09 1.25 5.88 -51.93 -0.31 0.94 16 38 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 39 H 0.08 0.45 8.14 -51.93 -0.42 0.03 16 40 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 41 H 0.09 1.13 5.88 -51.93 -0.31 0.83 16 42 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 43 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 44 H 0.06 1.06 8.14 -51.93 -0.42 0.64 16 45 H 0.07 0.98 4.89 -51.93 -0.25 0.72 16 46 H 0.04 0.92 8.14 -51.93 -0.42 0.50 16 47 H 0.10 2.53 6.03 -51.92 -0.31 2.21 16 48 H 0.03 0.68 8.14 -51.93 -0.42 0.26 16 49 H 0.26 6.84 8.31 -40.82 -0.34 6.50 16 50 H 0.05 1.13 8.14 -51.93 -0.42 0.70 16 51 H 0.06 1.19 8.14 -51.93 -0.42 0.76 16 52 H 0.08 1.40 7.00 -51.93 -0.36 1.03 16 53 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 LS Contribution 407.66 15.07 6.14 6.14 Total: -1.00 -30.54 407.66 -8.44 -38.98 By element: Atomic # 1 Polarization: 14.42 SS G_CDS: -9.23 Total: 5.19 kcal Atomic # 6 Polarization: 0.46 SS G_CDS: 0.44 Total: 0.90 kcal Atomic # 7 Polarization: -42.34 SS G_CDS: -0.23 Total: -42.57 kcal Atomic # 8 Polarization: -23.99 SS G_CDS: -0.54 Total: -24.54 kcal Atomic # 14 Polarization: 20.92 SS G_CDS: -5.02 Total: 15.90 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -30.54 -8.44 -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. ZINC000495816915.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 -95.689 kcal (2) G-P(sol) polarization free energy of solvation -30.543 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -126.232 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.437 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.980 kcal (6) G-S(sol) free energy of system = (1) + (5) -134.669 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.67 seconds