Wall clock time and date at job start Sat Apr 11 2020 06:14:57 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.52999 * 1 3 3 C 1.53002 * 109.47194 * 2 1 4 4 H 1.09000 * 109.46876 * 55.00145 * 3 2 1 5 5 C 1.53005 * 109.47002 * 295.00254 * 3 2 1 6 6 C 1.52997 * 109.47324 * 175.00300 * 3 2 1 7 7 C 1.52997 * 109.47373 * 184.99812 * 6 3 2 8 8 C 1.50698 * 109.47075 * 179.97438 * 7 6 3 9 9 O 1.21283 * 120.00271 * 0.02562 * 8 7 6 10 10 N 1.34785 * 119.99698 * 180.02562 * 8 7 6 11 11 C 1.46920 * 120.62848 * 180.02562 * 10 8 7 12 12 C 1.53197 * 108.89292 * 233.51522 * 11 10 8 13 13 C 1.53074 * 109.29237 * 305.57960 * 12 11 10 14 14 N 1.46493 * 109.43984 * 181.23742 * 13 12 11 15 15 C 1.36934 * 120.00200 * 304.56677 * 14 13 12 16 16 H 1.08004 * 120.00242 * 321.79449 * 15 14 13 17 17 C 1.38811 * 120.00249 * 141.79376 * 15 14 13 18 18 N 1.31622 * 120.00057 * 339.29372 * 17 15 14 19 19 Si 1.86803 * 120.00195 * 159.29976 * 17 15 14 20 20 H 1.48500 * 109.47065 * 59.99885 * 19 17 15 21 21 H 1.48496 * 109.46983 * 179.97438 * 19 17 15 22 22 H 1.48499 * 109.46905 * 299.99939 * 19 17 15 23 23 C 1.46502 * 120.00403 * 124.57162 * 14 13 12 24 24 C 1.53004 * 109.47140 * 89.99402 * 23 14 13 25 25 O 1.42902 * 109.46850 * 65.00469 * 24 23 14 26 26 C 1.42897 * 113.99672 * 180.02562 * 25 24 23 27 27 C 1.53039 * 109.65891 * 61.15098 * 13 12 11 28 28 C 1.46921 * 120.62792 * 359.97438 * 10 8 7 29 29 H 1.08994 * 109.47635 * 59.99953 * 1 2 3 30 30 H 1.08999 * 109.47111 * 180.02562 * 1 2 3 31 31 H 1.09005 * 109.46832 * 299.99698 * 1 2 3 32 32 H 1.09005 * 109.46832 * 240.00301 * 2 1 3 33 33 H 1.09002 * 109.47703 * 120.00336 * 2 1 3 34 34 H 1.08996 * 109.46760 * 60.00002 * 5 3 2 35 35 H 1.08998 * 109.46939 * 179.97438 * 5 3 2 36 36 H 1.09004 * 109.47326 * 300.00200 * 5 3 2 37 37 H 1.09001 * 109.47041 * 64.99606 * 6 3 2 38 38 H 1.09000 * 109.47059 * 305.00580 * 6 3 2 39 39 H 1.08999 * 109.46898 * 60.00335 * 7 6 3 40 40 H 1.08994 * 109.46986 * 300.00352 * 7 6 3 41 41 H 1.09003 * 109.59084 * 353.36897 * 11 10 8 42 42 H 1.09003 * 109.59142 * 113.65411 * 11 10 8 43 43 H 1.08998 * 109.49415 * 65.38710 * 12 11 10 44 44 H 1.08996 * 109.49873 * 185.48246 * 12 11 10 45 45 H 1.09004 * 109.34459 * 301.12729 * 13 12 11 46 46 H 0.96992 * 120.00121 * 180.02562 * 18 17 15 47 47 H 1.08991 * 109.47523 * 209.99499 * 23 14 13 48 48 H 1.09009 * 109.46839 * 330.00227 * 23 14 13 49 49 H 1.08999 * 109.46847 * 185.00153 * 24 23 14 50 50 H 1.08998 * 109.47410 * 305.00152 * 24 23 14 51 51 H 1.09004 * 109.46968 * 180.02562 * 26 25 24 52 52 H 1.09010 * 109.47183 * 299.99702 * 26 25 24 53 53 H 1.09003 * 109.47419 * 59.99763 * 26 25 24 54 54 H 1.09004 * 109.49703 * 178.75243 * 27 13 12 55 55 H 1.08995 * 109.52513 * 58.66798 * 27 13 12 56 56 H 1.09006 * 109.58618 * 246.19514 * 28 10 8 57 57 H 1.08997 * 109.59393 * 6.48264 * 28 10 8 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 1.6054 1.9815 0.8418 5 6 1.6352 2.1266 -1.3074 6 6 3.5648 1.4444 0.1256 7 6 4.0645 2.8850 0.2510 8 6 5.5663 2.8867 0.3754 9 8 6.1770 1.8389 0.3643 10 7 6.2309 4.0528 0.4989 11 6 7.6950 4.0707 0.6205 12 6 8.0792 4.8686 1.8706 13 6 7.4340 6.2551 1.8036 14 7 7.8234 7.0315 2.9833 15 6 7.5898 6.5346 4.2377 16 1 6.6802 5.9892 4.4418 17 6 8.5220 6.7318 5.2471 18 7 9.7709 7.0155 4.9433 19 14 8.0043 6.5943 7.0367 20 1 7.4776 5.2303 7.2962 21 1 9.1770 6.8464 7.9120 22 1 6.9467 7.5964 7.3243 23 6 8.4625 8.3398 2.8211 24 6 7.3894 9.4294 2.7746 25 8 6.7178 9.4905 4.0345 26 6 5.6901 10.4813 4.0977 27 6 5.9107 6.1129 1.7667 28 6 5.5051 5.3301 0.5133 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5138 0.8901 32 1 1.8933 -0.5138 -0.8901 33 1 1.8934 -0.5139 0.8899 34 1 0.5489 2.1252 -1.3968 35 1 1.9981 3.1543 -1.3072 36 1 2.0697 1.5875 -2.1493 37 1 4.0029 0.9836 -0.7597 38 1 3.8571 0.8800 1.0112 39 1 3.6265 3.3457 1.1364 40 1 3.7722 3.4493 -0.6345 41 1 8.0668 3.0499 0.7101 42 1 8.1293 4.5416 -0.2614 43 1 7.7237 4.3465 2.7589 44 1 9.1633 4.9712 1.9178 45 1 7.7728 6.7679 0.9033 46 1 10.4224 7.1529 5.6486 47 1 9.1313 8.5242 3.6617 48 1 9.0336 8.3525 1.8926 49 1 7.8573 10.3914 2.5653 50 1 6.6695 9.1972 1.9899 51 1 5.2294 10.4644 5.0855 52 1 6.1223 11.4654 3.9157 53 1 4.9349 10.2704 3.3405 54 1 5.4535 7.1021 1.7414 55 1 5.5731 5.5787 2.6547 56 1 5.7611 5.9059 -0.3762 57 1 4.4319 5.1405 0.5295 RHF calculation, no. of doubly occupied orbitals= 67 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=WATER ZINC001269644149.mol2 57 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 06:14:57 Heat of formation + Delta-G solvation = -101.730942 kcal Electronic energy + Delta-G solvation = -31571.730354 eV Core-core repulsion = 27580.189805 eV Total energy + Delta-G solvation = -3991.540549 eV No. of doubly occupied orbitals = 67 Molecular weight (most abundant/longest-lived isotopes) = 340.251 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -41.21027 -39.25495 -38.38147 -37.85742 -36.48512 -33.87100 -33.30228 -32.21918 -31.82866 -29.91312 -29.40911 -27.14161 -26.98451 -26.16595 -24.74706 -24.17034 -23.15163 -22.24809 -21.36681 -20.72086 -19.85259 -18.40855 -17.88138 -17.25632 -16.86163 -16.74056 -16.61981 -16.50053 -15.95197 -15.67538 -15.49083 -15.38043 -15.18002 -14.96647 -14.63603 -14.42845 -14.32529 -14.05941 -13.63343 -13.46192 -13.38320 -13.20725 -13.14759 -12.87841 -12.75677 -12.70595 -12.57562 -12.52747 -12.46053 -12.32390 -12.21968 -12.06040 -11.82475 -11.79028 -11.55441 -11.45370 -11.43620 -11.34439 -11.25970 -11.07323 -10.71195 -10.37250 -10.26764 -9.57358 -8.40569 -7.69901 -5.28518 1.44961 1.48307 1.54152 1.68246 2.11347 2.58617 3.25733 3.40791 3.55249 3.65199 3.83617 3.97480 4.01059 4.13406 4.22933 4.27703 4.30832 4.38644 4.45986 4.47519 4.49518 4.56289 4.59208 4.64461 4.66850 4.69034 4.74628 4.76740 4.78382 4.85035 4.86403 4.88821 4.92526 4.94334 4.95935 5.04214 5.10953 5.14118 5.15961 5.21384 5.24897 5.26950 5.29224 5.36326 5.51239 5.60119 5.61984 5.64086 5.71384 5.77898 5.89129 6.52153 6.54564 6.72937 7.23681 7.32069 8.01614 8.50323 9.26025 Molecular weight = 340.25amu Principal moments of inertia in cm(-1) A = 0.012464 B = 0.002617 C = 0.002581 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2245.970297 B =10696.307713 C =10844.681328 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.122 4.122 3 C -0.088 4.088 4 H 0.075 0.925 5 C -0.150 4.150 6 C -0.094 4.094 7 C -0.131 4.131 8 C 0.504 3.496 9 O -0.595 6.595 10 N -0.608 5.608 11 C 0.121 3.879 12 C -0.118 4.118 13 C 0.172 3.828 14 N -0.584 5.584 15 C -0.216 4.216 16 H 0.040 0.960 17 C -0.030 4.030 18 N -0.920 5.920 19 Si 0.937 3.063 20 H -0.285 1.285 21 H -0.298 1.298 22 H -0.283 1.283 23 C 0.140 3.860 24 C 0.057 3.943 25 O -0.398 6.398 26 C 0.027 3.973 27 C -0.130 4.130 28 C 0.114 3.886 29 H 0.063 0.937 30 H 0.054 0.946 31 H 0.054 0.946 32 H 0.059 0.941 33 H 0.052 0.948 34 H 0.065 0.935 35 H 0.065 0.935 36 H 0.051 0.949 37 H 0.056 0.944 38 H 0.045 0.955 39 H 0.106 0.894 40 H 0.122 0.878 41 H 0.065 0.935 42 H 0.083 0.917 43 H 0.031 0.969 44 H 0.048 0.952 45 H 0.066 0.934 46 H 0.245 0.755 47 H 0.062 0.938 48 H 0.053 0.947 49 H 0.043 0.957 50 H 0.045 0.955 51 H 0.077 0.923 52 H 0.044 0.956 53 H 0.046 0.954 54 H 0.075 0.925 55 H 0.038 0.962 56 H 0.092 0.908 57 H 0.110 0.890 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.035 -1.802 -14.759 22.611 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 -0.208 4.208 2 C -0.160 4.160 3 C -0.107 4.107 4 H 0.094 0.906 5 C -0.207 4.207 6 C -0.133 4.133 7 C -0.171 4.171 8 C 0.294 3.706 9 O -0.477 6.477 10 N -0.340 5.340 11 C -0.002 4.002 12 C -0.158 4.158 13 C 0.066 3.934 14 N -0.303 5.303 15 C -0.347 4.347 16 H 0.058 0.942 17 C -0.226 4.226 18 N -0.566 5.566 19 Si 0.767 3.233 20 H -0.212 1.212 21 H -0.225 1.225 22 H -0.210 1.210 23 C 0.013 3.987 24 C -0.021 4.021 25 O -0.317 6.317 26 C -0.070 4.070 27 C -0.170 4.170 28 C -0.008 4.008 29 H 0.082 0.918 30 H 0.073 0.927 31 H 0.073 0.927 32 H 0.078 0.922 33 H 0.071 0.929 34 H 0.084 0.916 35 H 0.084 0.916 36 H 0.070 0.930 37 H 0.075 0.925 38 H 0.064 0.936 39 H 0.124 0.876 40 H 0.140 0.860 41 H 0.083 0.917 42 H 0.101 0.899 43 H 0.049 0.951 44 H 0.066 0.934 45 H 0.085 0.915 46 H 0.054 0.946 47 H 0.080 0.920 48 H 0.071 0.929 49 H 0.061 0.939 50 H 0.064 0.936 51 H 0.095 0.905 52 H 0.063 0.937 53 H 0.065 0.935 54 H 0.093 0.907 55 H 0.057 0.943 56 H 0.110 0.890 57 H 0.128 0.872 Dipole moment (debyes) X Y Z Total from point charges -16.518 -2.421 -14.509 22.118 hybrid contribution 0.480 0.086 1.532 1.607 sum -16.038 -2.335 -12.977 20.762 Atomic orbital electron populations 1.21806 0.94960 1.01805 1.02246 1.21577 0.96602 0.96232 1.01586 1.21161 0.93427 0.96613 0.99450 0.90644 1.21944 1.01828 1.00728 0.96159 1.21339 0.95661 0.94595 1.01666 1.21801 0.88953 1.00411 1.05904 1.21491 0.91812 0.82472 0.74781 1.90644 1.71226 1.32759 1.53040 1.48301 1.07286 1.07166 1.71294 1.21491 0.80359 1.00484 0.97894 1.22054 0.99766 0.97725 0.96216 1.20546 0.93037 0.90232 0.89579 1.43886 1.70158 1.15161 1.01110 1.18630 0.98443 1.30513 0.87133 0.94230 1.25500 0.94502 1.01824 1.00746 1.70054 1.01432 1.53459 1.31619 0.85826 0.76825 0.77548 0.83079 1.21155 1.22478 1.20960 1.20974 0.93508 0.83895 1.00288 1.23240 0.95465 0.98347 0.85092 1.88158 1.51160 1.57435 1.34920 1.22797 0.90789 0.91261 1.02134 1.22223 0.97579 1.00038 0.97147 1.21987 0.97647 0.82845 0.98343 0.91774 0.92694 0.92692 0.92243 0.92936 0.91626 0.91618 0.92983 0.92529 0.93593 0.87621 0.85980 0.91664 0.89864 0.95055 0.93375 0.91547 0.94628 0.92001 0.92904 0.93861 0.93644 0.90467 0.93715 0.93498 0.90674 0.94326 0.88995 0.87201 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 -0.15 -1.83 9.67 71.98 0.70 -1.14 16 2 C -0.12 -1.84 5.40 30.59 0.17 -1.67 16 3 C -0.09 -1.31 2.39 -10.79 -0.03 -1.34 16 4 H 0.08 1.07 8.14 -2.39 -0.02 1.06 16 5 C -0.15 -1.76 8.70 71.98 0.63 -1.13 16 6 C -0.09 -1.92 3.97 30.59 0.12 -1.80 16 7 C -0.13 -2.54 3.80 29.85 0.11 -2.42 16 8 C 0.50 14.70 7.70 87.66 0.67 15.37 16 9 O -0.60 -22.57 15.40 -3.04 -0.05 -22.61 16 10 N -0.61 -17.02 2.97 -818.81 -2.43 -19.46 16 11 C 0.12 3.87 6.43 86.37 0.55 4.43 16 12 C -0.12 -4.61 5.25 30.69 0.16 -4.45 16 13 C 0.17 6.35 2.59 45.03 0.12 6.47 16 14 N -0.58 -26.76 2.34 -677.82 -1.58 -28.34 16 15 C -0.22 -11.51 7.60 84.03 0.64 -10.87 16 16 H 0.04 2.20 7.09 -2.91 -0.02 2.18 16 17 C -0.03 -1.66 4.97 84.86 0.42 -1.24 16 18 N -0.92 -53.98 11.47 21.65 0.25 -53.73 16 19 Si 0.94 46.75 29.60 68.60 2.03 48.78 16 20 H -0.29 -14.01 7.11 99.48 0.71 -13.31 16 21 H -0.30 -14.97 7.11 99.48 0.71 -14.26 16 22 H -0.28 -14.02 7.11 99.48 0.71 -13.32 16 23 C 0.14 6.14 5.70 86.38 0.49 6.63 16 24 C 0.06 2.09 6.28 71.98 0.45 2.54 16 25 O -0.40 -16.48 10.18 -148.98 -1.52 -17.99 16 26 C 0.03 0.80 11.01 113.37 1.25 2.04 16 27 C -0.13 -3.95 5.38 30.69 0.17 -3.78 16 28 C 0.11 2.47 6.34 86.38 0.55 3.01 16 29 H 0.06 0.68 6.56 -2.39 -0.02 0.66 16 30 H 0.05 0.63 8.14 -2.39 -0.02 0.61 16 31 H 0.05 0.66 8.14 -2.38 -0.02 0.64 16 32 H 0.06 0.90 8.14 -2.38 -0.02 0.89 16 33 H 0.05 0.88 8.14 -2.39 -0.02 0.86 16 34 H 0.06 0.66 6.56 -2.39 -0.02 0.64 16 35 H 0.06 0.65 6.57 -2.39 -0.02 0.64 16 36 H 0.05 0.65 8.14 -2.39 -0.02 0.63 16 37 H 0.06 1.28 8.10 -2.39 -0.02 1.26 16 38 H 0.05 1.14 8.10 -2.39 -0.02 1.12 16 39 H 0.11 1.81 7.69 -2.39 -0.02 1.79 16 40 H 0.12 1.64 6.36 -2.39 -0.02 1.62 16 41 H 0.06 2.34 7.01 -2.39 -0.02 2.32 16 42 H 0.08 2.26 8.14 -2.39 -0.02 2.24 16 43 H 0.03 1.44 7.61 -2.39 -0.02 1.42 16 44 H 0.05 2.08 8.14 -2.39 -0.02 2.06 16 45 H 0.07 2.18 7.77 -2.39 -0.02 2.17 16 46 H 0.24 14.19 8.31 -92.71 -0.77 13.42 16 47 H 0.06 3.29 5.54 -2.39 -0.01 3.28 16 48 H 0.05 2.10 7.88 -2.38 -0.02 2.09 16 49 H 0.04 1.39 8.14 -2.39 -0.02 1.37 16 50 H 0.05 1.48 8.14 -2.39 -0.02 1.46 16 51 H 0.08 2.19 8.14 -2.38 -0.02 2.17 16 52 H 0.04 1.14 8.14 -2.38 -0.02 1.12 16 53 H 0.05 1.20 8.14 -2.39 -0.02 1.18 16 54 H 0.07 2.17 8.14 -2.39 -0.02 2.15 16 55 H 0.04 1.40 7.24 -2.39 -0.02 1.39 16 56 H 0.09 1.57 8.14 -2.38 -0.02 1.56 16 57 H 0.11 1.70 5.93 -2.39 -0.01 1.69 16 Total: -1.00 -70.57 432.92 4.67 -65.91 By element: Atomic # 1 Polarization: 15.99 SS G_CDS: 0.80 Total: 16.79 kcal Atomic # 6 Polarization: 3.49 SS G_CDS: 7.17 Total: 10.66 kcal Atomic # 7 Polarization: -97.76 SS G_CDS: -3.77 Total: -101.53 kcal Atomic # 8 Polarization: -39.04 SS G_CDS: -1.56 Total: -40.61 kcal Atomic # 14 Polarization: 46.75 SS G_CDS: 2.03 Total: 48.78 kcal Total: -70.57 4.67 -65.91 kcal The number of atoms in the molecule is 57 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. ZINC001269644149.mol2 57 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 -35.825 kcal (2) G-P(sol) polarization free energy of solvation -70.575 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.400 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 4.669 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -65.906 kcal (6) G-S(sol) free energy of system = (1) + (5) -101.731 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds