Wall clock time and date at job start Sat Apr 11 2020 06:14:56 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 N 1.46906 * 1 3 3 C 1.46903 * 110.99718 * 2 1 4 4 C 1.46894 * 111.00231 * 123.95310 * 2 1 3 5 5 C 1.53000 * 109.47475 * 170.00085 * 4 2 1 6 6 N 1.46497 * 109.47194 * 179.97438 * 5 4 2 7 7 C 1.34784 * 119.99679 * 179.97438 * 6 5 4 8 8 O 1.21282 * 119.99784 * 0.02562 * 7 6 5 9 9 C 1.50698 * 119.99734 * 179.97438 * 7 6 5 10 10 C 1.53124 * 109.52088 * 180.02562 * 9 7 6 11 11 C 1.53031 * 109.27814 * 182.38276 * 10 9 7 12 12 N 1.46847 * 109.52813 * 59.17740 * 11 10 9 13 13 C 1.46894 * 111.00173 * 174.15929 * 12 11 10 14 14 C 1.50697 * 109.47436 * 293.61382 * 13 12 11 15 15 O 1.21284 * 120.00073 * 353.73180 * 14 13 12 16 16 N 1.34778 * 119.99898 * 173.45699 * 14 13 12 17 17 C 1.46497 * 119.99797 * 180.27352 * 16 14 13 18 18 C 1.50705 * 109.47367 * 179.97438 * 17 16 14 19 19 H 1.07998 * 119.99638 * 0.02562 * 18 17 16 20 20 C 1.37874 * 120.00160 * 180.02562 * 18 17 16 21 21 N 1.31516 * 120.00231 * 359.97438 * 20 18 17 22 22 Si 1.86802 * 119.99960 * 180.02562 * 20 18 17 23 23 H 1.48505 * 109.47104 * 59.99600 * 22 20 18 24 24 H 1.48496 * 109.47114 * 179.97438 * 22 20 18 25 25 H 1.48502 * 109.46740 * 299.99853 * 22 20 18 26 26 C 1.46847 * 111.19736 * 298.26116 * 12 11 10 27 27 C 1.53039 * 109.52415 * 61.74168 * 26 12 11 28 28 H 1.08995 * 109.46978 * 296.04474 * 1 2 3 29 29 H 1.09001 * 109.47210 * 56.04603 * 1 2 3 30 30 H 1.08996 * 109.46642 * 176.04950 * 1 2 3 31 31 H 1.09004 * 109.46666 * 183.95809 * 3 2 1 32 32 H 1.09001 * 109.47222 * 303.95062 * 3 2 1 33 33 H 1.08997 * 109.47486 * 63.95201 * 3 2 1 34 34 H 1.09005 * 109.47181 * 49.99833 * 4 2 1 35 35 H 1.09004 * 109.47174 * 289.99956 * 4 2 1 36 36 H 1.09005 * 109.47122 * 59.99712 * 5 4 2 37 37 H 1.09004 * 109.46815 * 300.00091 * 5 4 2 38 38 H 0.96993 * 120.00295 * 0.02562 * 6 5 4 39 39 H 1.08995 * 109.52537 * 300.13055 * 9 7 6 40 40 H 1.08997 * 109.50017 * 62.43809 * 10 9 7 41 41 H 1.09002 * 109.50229 * 302.32271 * 10 9 7 42 42 H 1.09012 * 109.46123 * 299.16194 * 11 10 9 43 43 H 1.09002 * 109.45519 * 179.19183 * 11 10 9 44 44 H 1.09006 * 109.47265 * 173.61116 * 13 12 11 45 45 H 1.08999 * 109.46905 * 53.61730 * 13 12 11 46 46 H 0.97001 * 120.00195 * 0.27492 * 16 14 13 47 47 H 1.09000 * 109.47329 * 300.00167 * 17 16 14 48 48 H 1.09005 * 109.47293 * 60.00199 * 17 16 14 49 49 H 0.96998 * 120.00087 * 180.02562 * 21 20 18 50 50 H 1.08996 * 109.45875 * 181.75103 * 26 12 11 51 51 H 1.08992 * 109.46460 * 301.72429 * 26 12 11 52 52 H 1.08994 * 109.50626 * 180.88030 * 27 26 12 53 53 H 1.08996 * 109.50629 * 60.75326 * 27 26 12 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 7 1.4691 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9955 -0.7659 1.1375 5 6 3.5045 -0.9553 0.9703 6 7 4.0296 -1.7186 2.1051 7 6 5.3443 -2.0084 2.1718 8 8 6.0925 -1.6367 1.2926 9 6 5.8845 -2.7931 3.3394 10 6 7.3948 -2.9834 3.1732 11 6 7.9276 -3.8311 4.3304 12 7 7.2499 -5.1338 4.3373 13 6 7.8332 -6.0254 5.3485 14 6 9.2484 -6.3678 4.9601 15 8 9.6869 -6.0084 3.8879 16 7 10.0288 -7.0686 5.8065 17 6 11.4065 -7.3963 5.4314 18 6 12.0576 -8.1777 6.5434 19 1 11.5007 -8.4077 7.4396 20 6 13.3642 -8.5991 6.4164 21 7 14.0423 -8.3195 5.3248 22 14 14.1711 -9.5684 7.7945 23 1 13.4108 -10.8224 8.0286 24 1 15.5676 -9.9004 7.4143 25 1 14.1759 -8.7533 9.0358 26 6 5.8042 -4.9791 4.5431 27 6 5.2078 -4.1657 3.3921 28 1 -0.3633 0.4512 0.9233 29 1 -0.3634 0.5740 -0.8524 30 1 -0.3632 -1.0252 -0.0708 31 1 3.0828 1.3432 -0.0709 32 1 1.5898 1.9164 -0.8525 33 1 1.7044 1.8724 0.9232 34 1 1.5090 -1.7406 1.1756 35 1 1.7976 -0.2247 2.0628 36 1 3.9910 0.0194 0.9322 37 1 3.7024 -1.4965 0.0451 38 1 3.4312 -2.0161 2.8080 39 1 5.6855 -2.2527 4.2649 40 1 7.8867 -2.0107 3.1778 41 1 7.5960 -3.4891 2.2288 42 1 7.7383 -3.3182 5.2735 43 1 9.0003 -3.9804 4.2072 44 1 7.2424 -6.9393 5.4114 45 1 7.8331 -5.5254 6.3171 46 1 9.6782 -7.3561 6.6640 47 1 11.4025 -7.9946 4.5203 48 1 11.9648 -6.4761 5.2593 49 1 14.9614 -8.6163 5.2353 50 1 5.3346 -5.9622 4.5744 51 1 5.6248 -4.4609 5.4850 52 1 4.1375 -4.0377 3.5531 53 1 5.3748 -4.6900 2.4512 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 ZINC001323538726.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 06:14:56 Heat of formation + Delta-G solvation = -70.328948 kcal Electronic energy + Delta-G solvation = -29255.668736 eV Core-core repulsion = 25161.949536 eV Total energy + Delta-G solvation = -4093.719200 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.46692 -39.22994 -38.24357 -37.58099 -34.95686 -34.17492 -33.54859 -32.28513 -30.92767 -29.97647 -28.39946 -28.13717 -26.64932 -24.90163 -23.74175 -23.10913 -22.23119 -21.72528 -20.83705 -19.72290 -19.58833 -17.43431 -17.08010 -16.74100 -16.35634 -16.03552 -15.62283 -15.41984 -15.31682 -15.17323 -15.03064 -14.72079 -14.38139 -14.22797 -14.19975 -13.71932 -13.66335 -13.29527 -12.98165 -12.92572 -12.61903 -12.41596 -12.35834 -12.29433 -12.13717 -12.00652 -11.87280 -11.65128 -11.48061 -11.32881 -11.17578 -10.97727 -10.86381 -10.75195 -10.49328 -10.28900 -9.87906 -9.38752 -9.37395 -8.98450 -8.96574 -8.70359 -8.19609 -7.81771 -6.14303 -4.21450 2.45724 2.71184 3.26189 3.31002 3.32505 3.43444 3.55739 3.66216 4.25894 4.28050 4.39784 4.44452 4.50141 4.58339 4.63756 4.68141 4.79473 4.89900 5.00251 5.03444 5.07201 5.13332 5.21464 5.23348 5.30055 5.32574 5.34483 5.40241 5.42834 5.46640 5.51450 5.55636 5.60099 5.66588 5.75829 5.86907 6.01357 6.05551 6.21863 6.38531 6.39988 6.43889 7.00434 7.15326 7.18115 7.36009 7.48917 7.55634 7.70161 7.99968 8.00688 8.67329 8.81976 9.17169 9.45416 10.95792 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.042729 B = 0.001488 C = 0.001458 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 655.134657 B =18815.090242 C =19203.724798 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 N -0.544 5.544 3 C 0.017 3.983 4 C 0.044 3.956 5 C 0.121 3.879 6 N -0.735 5.735 7 C 0.520 3.480 8 O -0.531 6.531 9 C -0.107 4.107 10 C -0.092 4.092 11 C 0.054 3.946 12 N -0.519 5.519 13 C 0.037 3.963 14 C 0.496 3.504 15 O -0.535 6.535 16 N -0.716 5.716 17 C 0.251 3.749 18 C -0.544 4.544 19 H 0.062 0.938 20 C 0.064 3.936 21 N -0.885 5.885 22 Si 0.903 3.097 23 H -0.275 1.275 24 H -0.285 1.285 25 H -0.276 1.276 26 C 0.058 3.942 27 C -0.104 4.104 28 H 0.026 0.974 29 H 0.071 0.929 30 H 0.070 0.930 31 H 0.074 0.926 32 H 0.071 0.929 33 H 0.027 0.973 34 H 0.082 0.918 35 H 0.040 0.960 36 H 0.067 0.933 37 H 0.077 0.923 38 H 0.398 0.602 39 H 0.092 0.908 40 H 0.072 0.928 41 H 0.083 0.917 42 H 0.026 0.974 43 H 0.098 0.902 44 H 0.099 0.901 45 H 0.056 0.944 46 H 0.389 0.611 47 H 0.026 0.974 48 H 0.026 0.974 49 H 0.266 0.734 50 H 0.079 0.921 51 H 0.033 0.967 52 H 0.068 0.932 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -29.968 16.034 -2.822 34.105 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 -0.123 4.123 2 N -0.269 5.269 3 C -0.131 4.131 4 C -0.085 4.085 5 C -0.003 4.003 6 N -0.388 5.388 7 C 0.307 3.693 8 O -0.406 6.406 9 C -0.129 4.129 10 C -0.131 4.131 11 C -0.074 4.074 12 N -0.244 5.244 13 C -0.095 4.095 14 C 0.280 3.720 15 O -0.413 6.413 16 N -0.366 5.366 17 C 0.131 3.869 18 C -0.583 4.583 19 H 0.080 0.920 20 C -0.140 4.140 21 N -0.522 5.522 22 Si 0.731 3.269 23 H -0.201 1.201 24 H -0.211 1.211 25 H -0.201 1.201 26 C -0.070 4.070 27 C -0.142 4.142 28 H 0.045 0.955 29 H 0.090 0.910 30 H 0.089 0.911 31 H 0.093 0.907 32 H 0.090 0.910 33 H 0.046 0.954 34 H 0.100 0.900 35 H 0.059 0.941 36 H 0.085 0.915 37 H 0.095 0.905 38 H 0.232 0.768 39 H 0.110 0.890 40 H 0.090 0.910 41 H 0.102 0.898 42 H 0.045 0.955 43 H 0.116 0.884 44 H 0.117 0.883 45 H 0.074 0.926 46 H 0.221 0.779 47 H 0.044 0.956 48 H 0.044 0.956 49 H 0.076 0.924 50 H 0.097 0.903 51 H 0.052 0.948 52 H 0.087 0.913 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -28.652 16.105 -5.254 33.286 hybrid contribution -0.457 -0.049 3.067 3.101 sum -29.110 16.057 -2.187 33.316 Atomic orbital electron populations 1.22400 0.86614 1.02576 1.00740 1.61850 1.08282 1.14294 1.42429 1.22516 1.01448 0.88377 1.00736 1.22279 0.94993 0.99116 0.92076 1.21265 0.92385 0.96744 0.89951 1.45948 1.09158 1.57868 1.25869 1.20741 0.81461 0.79357 0.87746 1.90729 1.57285 1.52558 1.40041 1.21450 0.98424 0.96351 0.96645 1.21380 0.91387 1.00040 1.00256 1.22243 1.01140 0.87756 0.96244 1.61522 1.02027 1.12730 1.48095 1.21996 0.95391 0.98345 0.93727 1.20310 0.86903 0.79562 0.85232 1.90664 1.74570 1.53228 1.22797 1.46460 1.15791 1.54689 1.19614 1.19071 0.75434 0.96072 0.96351 1.21194 0.97898 1.36308 1.02858 0.92011 1.24948 0.96991 0.95974 0.96061 1.69966 1.10670 1.45257 1.26329 0.86485 0.78427 0.80236 0.81801 1.20087 1.21069 1.20114 1.22069 0.88526 1.00107 0.96301 1.21562 0.98231 0.93761 1.00691 0.95519 0.91003 0.91104 0.90737 0.91040 0.95431 0.89980 0.94149 0.91491 0.90479 0.76764 0.88950 0.90975 0.89822 0.95539 0.88370 0.88298 0.92630 0.77913 0.95554 0.95633 0.92398 0.90254 0.94849 0.91311 0.90146 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 0.02 0.11 9.57 60.07 0.57 0.68 16 2 N -0.54 -3.34 5.02 -251.25 -1.26 -4.60 16 3 C 0.02 0.09 9.32 60.07 0.56 0.65 16 4 C 0.04 0.23 5.07 -3.83 -0.02 0.22 16 5 C 0.12 0.91 5.60 -4.04 -0.02 0.89 16 6 N -0.73 -5.39 5.46 -60.29 -0.33 -5.71 16 7 C 0.52 5.65 7.16 -10.98 -0.08 5.58 16 8 O -0.53 -8.18 15.98 5.56 0.09 -8.09 16 9 C -0.11 -1.03 2.59 -91.64 -0.24 -1.27 16 10 C -0.09 -1.21 4.68 -26.65 -0.12 -1.33 16 11 C 0.05 0.75 5.12 -3.84 -0.02 0.73 16 12 N -0.52 -7.11 4.35 -236.12 -1.03 -8.13 16 13 C 0.04 0.51 5.45 -4.98 -0.03 0.48 16 14 C 0.50 9.79 7.36 -10.99 -0.08 9.71 16 15 O -0.54 -12.89 14.71 5.55 0.08 -12.81 16 16 N -0.72 -14.91 5.55 -61.47 -0.34 -15.25 16 17 C 0.25 6.69 5.43 -5.19 -0.03 6.66 16 18 C -0.54 -14.77 9.28 -34.44 -0.32 -15.09 16 19 H 0.06 1.56 7.60 -52.49 -0.40 1.16 16 20 C 0.06 1.78 5.46 -17.82 -0.10 1.68 16 21 N -0.88 -26.23 13.29 55.43 0.74 -25.49 16 22 Si 0.90 20.85 29.54 -169.99 -5.02 15.83 16 23 H -0.28 -6.22 7.11 56.52 0.40 -5.81 16 24 H -0.29 -6.56 7.11 56.52 0.40 -6.16 16 25 H -0.28 -6.22 7.11 56.52 0.40 -5.82 16 26 C 0.06 0.55 5.46 -3.83 -0.02 0.53 16 27 C -0.10 -0.88 5.26 -26.65 -0.14 -1.02 16 28 H 0.03 0.11 8.14 -51.93 -0.42 -0.32 16 29 H 0.07 0.28 8.12 -51.93 -0.42 -0.14 16 30 H 0.07 0.28 8.12 -51.93 -0.42 -0.14 16 31 H 0.07 0.44 6.47 -51.93 -0.34 0.10 16 32 H 0.07 0.33 8.12 -51.93 -0.42 -0.09 16 33 H 0.03 0.14 8.14 -51.93 -0.42 -0.29 16 34 H 0.08 0.38 8.06 -51.93 -0.42 -0.04 16 35 H 0.04 0.19 8.12 -51.93 -0.42 -0.23 16 36 H 0.07 0.57 6.55 -51.93 -0.34 0.23 16 37 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 38 H 0.40 1.73 7.96 -40.82 -0.33 1.40 16 39 H 0.09 0.71 8.14 -51.93 -0.42 0.29 16 40 H 0.07 0.94 8.14 -51.93 -0.42 0.51 16 41 H 0.08 1.32 8.04 -51.93 -0.42 0.90 16 42 H 0.03 0.32 8.14 -51.92 -0.42 -0.10 16 43 H 0.10 1.73 6.06 -51.93 -0.31 1.41 16 44 H 0.10 1.17 7.98 -51.93 -0.41 0.75 16 45 H 0.06 0.66 8.12 -51.93 -0.42 0.24 16 46 H 0.39 6.85 8.32 -40.82 -0.34 6.51 16 47 H 0.03 0.78 8.14 -51.93 -0.42 0.36 16 48 H 0.03 0.75 8.14 -51.93 -0.42 0.33 16 49 H 0.27 7.42 8.31 -40.82 -0.34 7.08 16 50 H 0.08 0.67 8.01 -51.93 -0.42 0.26 16 51 H 0.03 0.28 8.14 -51.93 -0.42 -0.15 16 52 H 0.07 0.37 7.67 -51.93 -0.40 -0.03 16 53 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 LS Contribution 421.05 15.07 6.35 6.35 Total: -1.00 -35.46 421.05 -10.40 -45.86 By element: Atomic # 1 Polarization: 12.54 SS G_CDS: -9.59 Total: 2.95 kcal Atomic # 6 Polarization: 9.18 SS G_CDS: -0.08 Total: 9.10 kcal Atomic # 7 Polarization: -56.96 SS G_CDS: -2.22 Total: -59.19 kcal Atomic # 8 Polarization: -21.07 SS G_CDS: 0.17 Total: -20.90 kcal Atomic # 14 Polarization: 20.85 SS G_CDS: -5.02 Total: 15.83 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -35.46 -10.40 -45.86 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. ZINC001323538726.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 -24.470 kcal (2) G-P(sol) polarization free energy of solvation -35.461 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -59.931 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.398 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.859 kcal (6) G-S(sol) free energy of system = (1) + (5) -70.329 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds