Wall clock time and date at job start Sat Apr 11 2020 06:12:55 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 1.53006 * 1 3 3 O 1.42898 * 109.47258 * 2 1 4 4 C 1.42895 * 114.00067 * 184.79511 * 3 2 1 5 5 C 1.53001 * 109.47206 * 184.79619 * 4 3 2 6 6 C 1.50697 * 115.56178 * 327.30290 * 5 4 3 7 7 O 1.21280 * 120.00341 * 100.89501 * 6 5 4 8 8 N 1.34780 * 119.99658 * 280.89557 * 6 5 4 9 9 C 1.46921 * 120.63448 * 4.47132 * 8 6 5 10 10 C 1.53617 * 108.54628 * 126.36598 * 9 8 6 11 11 C 1.53043 * 109.23880 * 54.85509 * 10 9 8 12 12 N 1.46503 * 109.45827 * 178.48906 * 11 10 9 13 13 C 1.36938 * 119.99681 * 60.07363 * 12 11 10 14 14 H 1.08001 * 120.00112 * 319.86681 * 13 12 11 15 15 C 1.38811 * 119.99896 * 139.87695 * 13 12 11 16 16 N 1.31619 * 120.00307 * 345.20256 * 15 13 12 17 17 Si 1.86804 * 120.00115 * 165.20327 * 15 13 12 18 18 H 1.48500 * 109.46974 * 59.99771 * 17 15 13 19 19 H 1.48495 * 109.47201 * 179.97438 * 17 15 13 20 20 H 1.48500 * 109.47183 * 300.00187 * 17 15 13 21 21 C 1.46503 * 120.00402 * 240.06905 * 12 11 10 22 22 C 1.52995 * 109.46961 * 84.68050 * 21 12 11 23 23 O 1.42903 * 109.46770 * 65.00361 * 22 21 12 24 24 C 1.53033 * 109.54245 * 298.50987 * 11 10 9 25 25 C 1.46934 * 120.62652 * 184.74952 * 8 6 5 26 26 C 1.53003 * 117.49985 * 112.99187 * 5 4 3 27 27 C 1.52999 * 60.00118 * 107.48703 * 26 5 4 28 28 H 1.08996 * 109.47006 * 304.89636 * 1 2 3 29 29 H 1.09004 * 109.46563 * 64.89234 * 1 2 3 30 30 H 1.08998 * 109.47187 * 184.88760 * 1 2 3 31 31 H 1.08999 * 109.47374 * 239.99280 * 2 1 3 32 32 H 1.09002 * 109.46544 * 119.99804 * 2 1 3 33 33 H 1.08998 * 109.47589 * 64.79505 * 4 3 2 34 34 H 1.09006 * 109.46887 * 304.79648 * 4 3 2 35 35 H 1.09000 * 109.58241 * 246.20221 * 9 8 6 36 36 H 1.09004 * 109.58278 * 6.62537 * 9 8 6 37 37 H 1.09000 * 109.63438 * 294.86888 * 10 9 8 38 38 H 1.08997 * 109.43579 * 174.72323 * 10 9 8 39 39 H 1.08999 * 109.46280 * 58.53897 * 11 10 9 40 40 H 0.96999 * 120.00565 * 180.02562 * 16 15 13 41 41 H 1.08995 * 109.47120 * 204.68514 * 21 12 11 42 42 H 1.09000 * 109.46710 * 324.68436 * 21 12 11 43 43 H 1.09005 * 109.47067 * 185.00046 * 22 21 12 44 44 H 1.08998 * 109.47408 * 305.00551 * 22 21 12 45 45 H 0.96699 * 113.99670 * 179.97438 * 23 22 21 46 46 H 1.08996 * 109.50179 * 301.41978 * 24 11 10 47 47 H 1.09003 * 109.50190 * 181.31525 * 24 11 10 48 48 H 1.09001 * 109.58521 * 353.37627 * 25 8 6 49 49 H 1.09000 * 109.58463 * 113.79860 * 25 8 6 50 50 H 1.08999 * 117.50050 * 214.98476 * 26 5 4 51 51 H 1.09001 * 117.49320 * 359.97438 * 26 5 4 52 52 H 1.08997 * 117.49950 * 252.51135 * 27 26 5 53 53 H 1.09001 * 117.49441 * 107.48772 * 27 26 5 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 1.5301 0.0000 0.0000 3 8 2.0064 1.3472 0.0000 4 6 3.4266 1.4616 -0.1091 5 6 3.8314 2.9313 0.0210 6 6 2.8421 3.9290 -0.5238 7 8 2.1031 4.5245 0.2312 8 7 2.7785 4.1594 -1.8502 9 6 3.5971 3.3767 -2.7862 10 6 2.6741 2.7721 -3.8549 11 6 1.8640 3.8913 -4.5132 12 7 1.0081 3.3243 -5.5584 13 6 0.0680 2.3819 -5.2370 14 1 0.3013 1.6093 -4.5193 15 6 -1.1846 2.4194 -5.8339 16 7 -1.5765 3.5006 -6.4741 17 14 -2.3144 0.9354 -5.7285 18 1 -2.6047 0.6346 -4.3036 19 1 -3.5840 1.2282 -6.4408 20 1 -1.6525 -0.2361 -6.3568 21 6 1.1578 3.7656 -6.9473 22 6 2.2730 2.9628 -7.6201 23 8 1.8892 1.5885 -7.6994 24 6 0.9937 4.5808 -3.4601 25 6 1.8936 5.2022 -2.3873 26 6 4.6338 3.3361 1.2593 27 6 5.3183 3.2685 -0.1074 28 1 -0.3633 0.5879 0.8428 29 1 -0.3632 0.4361 -0.9306 30 1 -0.3633 -1.0239 0.0876 31 1 1.8934 -0.5139 -0.8899 32 1 1.8933 -0.5138 0.8900 33 1 3.7485 1.0805 -1.0783 34 1 3.8997 0.8827 0.6842 35 1 4.3326 4.0269 -3.2599 36 1 4.1060 2.5780 -2.2466 37 1 1.9955 2.0566 -3.3905 38 1 3.2760 2.2662 -4.6098 39 1 2.5435 4.6193 -4.9562 40 1 -2.4520 3.5270 -6.8909 41 1 0.2217 3.6060 -7.4822 42 1 1.4110 4.8256 -6.9664 43 1 2.4448 3.3505 -8.6242 44 1 3.1882 3.0512 -7.0348 45 1 2.5502 1.0190 -8.1162 46 1 0.3310 3.8484 -2.9993 47 1 0.3997 5.3624 -3.9339 48 1 1.2782 5.6083 -1.5844 49 1 2.4931 5.9981 -2.8292 50 1 4.4460 4.3240 1.6799 51 1 4.8729 2.5554 1.9814 52 1 6.0080 2.4433 -0.2846 53 1 5.5809 4.2120 -0.5859 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 ZINC001098410063.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 06:12:55 Heat of formation + Delta-G solvation = -78.676231 kcal Electronic energy + Delta-G solvation = -32728.645472 eV Core-core repulsion = 28602.271556 eV Total energy + Delta-G solvation = -4126.373916 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.34193 -38.18643 -37.43159 -36.39742 -36.00764 -34.51641 -31.87821 -31.28555 -30.60833 -30.21566 -27.68953 -27.06641 -25.08119 -23.60950 -23.08158 -22.75085 -22.48211 -21.83514 -20.39589 -19.63038 -18.42174 -17.26086 -16.58410 -16.31542 -16.21048 -15.87587 -15.73831 -15.35025 -14.79685 -14.41610 -14.26707 -14.13095 -13.69782 -13.64525 -13.40758 -13.25825 -13.00007 -12.73854 -12.48623 -12.37100 -12.11404 -11.95249 -11.89981 -11.77042 -11.46786 -11.34766 -11.13231 -11.11178 -10.83672 -10.73320 -10.69436 -10.61266 -10.44340 -10.33408 -10.01817 -9.82529 -9.78977 -9.52408 -9.42031 -9.34565 -9.06047 -8.32797 -8.21204 -6.40141 -5.64213 -3.24319 2.87989 3.19205 3.42344 3.47124 3.51072 3.54766 3.70690 4.51091 4.59469 4.62219 4.71141 4.91960 5.09123 5.10575 5.19878 5.22127 5.32784 5.35209 5.38711 5.41782 5.44241 5.51120 5.55600 5.61541 5.67556 5.69219 5.78366 5.82202 5.90337 5.95627 6.02724 6.05379 6.06025 6.16284 6.24554 6.31106 6.35427 6.46408 6.56978 6.69083 6.79472 6.88464 6.96091 7.21541 7.23148 7.33735 7.75126 7.78311 7.95889 8.48896 8.53195 8.71671 9.33210 9.94632 10.51508 11.38232 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011100 B = 0.004273 C = 0.003680 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2521.968653 B = 6551.846899 C = 7607.722039 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C 0.061 3.939 3 O -0.374 6.374 4 C 0.107 3.893 5 C -0.153 4.153 6 C 0.564 3.436 7 O -0.541 6.541 8 N -0.598 5.598 9 C 0.111 3.889 10 C -0.138 4.138 11 C 0.179 3.821 12 N -0.571 5.571 13 C -0.229 4.229 14 H 0.053 0.947 15 C 0.016 3.984 16 N -0.899 5.899 17 Si 0.896 3.104 18 H -0.284 1.284 19 H -0.293 1.293 20 H -0.283 1.283 21 C 0.144 3.856 22 C 0.059 3.941 23 O -0.544 6.544 24 C -0.131 4.131 25 C 0.113 3.887 26 C -0.143 4.143 27 C -0.157 4.157 28 H 0.062 0.938 29 H 0.069 0.931 30 H 0.068 0.932 31 H 0.049 0.951 32 H 0.044 0.956 33 H 0.059 0.941 34 H 0.055 0.945 35 H 0.059 0.941 36 H 0.075 0.925 37 H 0.070 0.930 38 H 0.063 0.937 39 H 0.044 0.956 40 H 0.252 0.748 41 H 0.105 0.895 42 H 0.034 0.966 43 H 0.018 0.982 44 H 0.020 0.980 45 H 0.348 0.652 46 H 0.072 0.928 47 H 0.070 0.930 48 H 0.083 0.917 49 H 0.057 0.943 50 H 0.102 0.898 51 H 0.102 0.898 52 H 0.104 0.896 53 H 0.103 0.897 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 15.338 -2.898 8.631 17.836 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 -0.210 4.210 2 C -0.015 4.015 3 O -0.293 6.293 4 C 0.030 3.970 5 C -0.156 4.156 6 C 0.351 3.649 7 O -0.418 6.418 8 N -0.330 5.330 9 C -0.012 4.012 10 C -0.178 4.178 11 C 0.071 3.929 12 N -0.290 5.290 13 C -0.359 4.359 14 H 0.071 0.929 15 C -0.183 4.183 16 N -0.542 5.542 17 Si 0.726 3.274 18 H -0.211 1.211 19 H -0.219 1.219 20 H -0.210 1.210 21 C 0.018 3.982 22 C -0.021 4.021 23 O -0.345 6.345 24 C -0.171 4.171 25 C -0.010 4.010 26 C -0.181 4.181 27 C -0.194 4.194 28 H 0.081 0.919 29 H 0.088 0.912 30 H 0.087 0.913 31 H 0.067 0.933 32 H 0.062 0.938 33 H 0.077 0.923 34 H 0.073 0.927 35 H 0.078 0.922 36 H 0.093 0.907 37 H 0.088 0.912 38 H 0.082 0.918 39 H 0.062 0.938 40 H 0.062 0.938 41 H 0.123 0.877 42 H 0.052 0.948 43 H 0.036 0.964 44 H 0.039 0.961 45 H 0.191 0.809 46 H 0.090 0.910 47 H 0.088 0.912 48 H 0.101 0.899 49 H 0.076 0.924 50 H 0.121 0.879 51 H 0.121 0.879 52 H 0.123 0.877 53 H 0.121 0.879 Dipole moment (debyes) X Y Z Total from point charges 14.065 -2.123 9.236 16.960 hybrid contribution 0.124 -1.346 -0.493 1.439 sum 14.188 -3.469 8.743 17.023 Atomic orbital electron populations 1.21741 0.93473 1.01984 1.03841 1.22442 0.96034 0.83451 0.99595 1.88039 1.20014 1.26473 1.94780 1.21867 0.82956 0.91885 1.00261 1.21318 0.93374 0.95344 1.05544 1.19072 0.82652 0.81343 0.81828 1.90645 1.42573 1.50893 1.57640 1.47987 1.42933 1.36809 1.05316 1.21901 0.93296 0.94686 0.91318 1.22419 0.98278 1.00350 0.96747 1.20295 0.91362 0.91928 0.89282 1.43662 1.39158 1.45982 1.00198 1.18684 0.90252 1.03334 1.23608 0.92931 1.25139 0.96452 0.96116 1.00599 1.69869 1.19375 1.26001 1.38999 0.86486 0.79908 0.83472 0.77515 1.21071 1.21909 1.20955 1.21020 0.98487 0.92143 0.86580 1.23120 0.99137 0.83273 0.96589 1.86865 1.45519 1.18725 1.83355 1.22266 0.98277 1.00822 0.95760 1.21736 0.92546 0.89095 0.97587 1.23081 1.00566 1.03804 0.90609 1.23130 0.91920 1.03790 1.00592 0.91865 0.91199 0.91288 0.93293 0.93820 0.92344 0.92699 0.92223 0.90666 0.91169 0.91845 0.93804 0.93820 0.87736 0.94751 0.96397 0.96135 0.80941 0.90973 0.91183 0.89873 0.92436 0.87928 0.87944 0.87744 0.87888 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 -2.05 10.28 37.16 0.38 -1.66 16 2 C 0.06 0.79 6.66 37.16 0.25 1.03 16 3 O -0.37 -5.90 9.57 -35.23 -0.34 -6.23 16 4 C 0.11 1.32 5.79 37.16 0.22 1.53 16 5 C -0.15 -1.95 1.20 -155.66 -0.19 -2.14 16 6 C 0.56 9.58 6.11 -10.99 -0.07 9.51 16 7 O -0.54 -11.24 16.40 5.56 0.09 -11.15 16 8 N -0.60 -9.68 2.97 -172.50 -0.51 -10.19 16 9 C 0.11 1.56 6.04 -3.49 -0.02 1.54 16 10 C -0.14 -2.40 5.31 -26.39 -0.14 -2.54 16 11 C 0.18 3.53 2.59 -67.89 -0.18 3.35 16 12 N -0.57 -13.47 2.31 -165.62 -0.38 -13.85 16 13 C -0.23 -6.10 8.00 -15.06 -0.12 -6.22 16 14 H 0.05 1.45 6.89 -52.49 -0.36 1.09 16 15 C 0.02 0.44 5.05 -17.43 -0.09 0.35 16 16 N -0.90 -25.86 11.32 55.49 0.63 -25.23 16 17 Si 0.90 22.39 29.58 -169.99 -5.03 17.37 16 18 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 19 H -0.29 -7.37 7.11 56.52 0.40 -6.97 16 20 H -0.28 -7.11 7.11 56.52 0.40 -6.71 16 21 C 0.14 3.30 5.54 -4.04 -0.02 3.27 16 22 C 0.06 1.13 7.39 37.16 0.27 1.41 16 23 O -0.54 -11.16 13.39 -35.23 -0.47 -11.63 16 24 C -0.13 -2.64 5.30 -26.61 -0.14 -2.78 16 25 C 0.11 1.94 6.44 -3.70 -0.02 1.91 16 26 C -0.14 -1.49 9.79 -26.73 -0.26 -1.75 16 27 C -0.16 -1.43 8.91 -26.73 -0.24 -1.67 16 28 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 29 H 0.07 1.10 8.14 -51.93 -0.42 0.67 16 30 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 31 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 32 H 0.04 0.46 8.14 -51.93 -0.42 0.04 16 33 H 0.06 0.66 6.89 -51.93 -0.36 0.30 16 34 H 0.05 0.54 7.89 -51.93 -0.41 0.13 16 35 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 36 H 0.08 0.92 4.38 -51.93 -0.23 0.69 16 37 H 0.07 1.42 7.08 -51.93 -0.37 1.05 16 38 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 39 H 0.04 0.81 7.86 -51.93 -0.41 0.40 16 40 H 0.25 7.13 8.31 -40.82 -0.34 6.79 16 41 H 0.11 2.80 5.53 -51.93 -0.29 2.51 16 42 H 0.03 0.74 8.03 -51.93 -0.42 0.32 16 43 H 0.02 0.31 8.14 -51.93 -0.42 -0.12 16 44 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 45 H 0.35 5.15 9.12 45.56 0.42 5.57 16 46 H 0.07 1.69 7.71 -51.93 -0.40 1.29 16 47 H 0.07 1.50 8.14 -51.93 -0.42 1.08 16 48 H 0.08 1.53 7.00 -51.93 -0.36 1.17 16 49 H 0.06 0.87 8.14 -51.93 -0.42 0.45 16 50 H 0.10 1.16 8.14 -51.93 -0.42 0.74 16 51 H 0.10 0.86 8.04 -51.93 -0.42 0.45 16 52 H 0.10 0.71 8.14 -51.93 -0.42 0.29 16 53 H 0.10 0.93 8.14 -51.93 -0.42 0.51 16 LS Contribution 415.97 15.07 6.27 6.27 Total: -1.00 -33.81 415.97 -8.77 -42.57 By element: Atomic # 1 Polarization: 15.59 SS G_CDS: -8.66 Total: 6.94 kcal Atomic # 6 Polarization: 5.51 SS G_CDS: -0.37 Total: 5.14 kcal Atomic # 7 Polarization: -49.01 SS G_CDS: -0.27 Total: -49.27 kcal Atomic # 8 Polarization: -28.30 SS G_CDS: -0.72 Total: -29.01 kcal Atomic # 14 Polarization: 22.39 SS G_CDS: -5.03 Total: 17.37 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -33.81 -8.77 -42.57 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. ZINC001098410063.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 -36.104 kcal (2) G-P(sol) polarization free energy of solvation -33.805 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -69.909 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.767 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.572 kcal (6) G-S(sol) free energy of system = (1) + (5) -78.676 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds