Wall clock time and date at job start Tue Mar 31 2020 21:00:17 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 1.52996 * 1 3 3 C 1.52996 * 109.47192 * 2 1 4 4 C 1.52999 * 109.47271 * 120.00076 * 2 1 3 5 5 H 1.09004 * 112.45110 * 50.10464 * 4 2 1 6 6 N 1.46516 * 113.09332 * 280.49801 * 4 2 1 7 7 C 1.46502 * 134.66731 * 64.36895 * 6 4 2 8 8 N 1.46904 * 109.47097 * 90.00027 * 7 6 4 9 9 C 1.46851 * 110.99711 * 30.79185 * 8 7 6 10 10 C 1.53034 * 109.52150 * 185.83520 * 9 8 7 11 11 C 1.53114 * 109.28274 * 300.82288 * 10 9 8 12 12 C 1.50697 * 109.57988 * 177.58847 * 11 10 9 13 13 H 1.07994 * 120.00312 * 240.28783 * 12 11 10 14 14 C 1.37878 * 119.99519 * 60.28286 * 12 11 10 15 15 N 1.31519 * 120.00459 * 0.02562 * 14 12 11 16 16 Si 1.86802 * 119.99891 * 180.02562 * 14 12 11 17 17 H 1.48503 * 109.46798 * 90.00353 * 16 14 12 18 18 H 1.48503 * 109.47233 * 210.00165 * 16 14 12 19 19 H 1.48497 * 109.47203 * 330.00515 * 16 14 12 20 20 C 1.53124 * 109.15897 * 57.65184 * 11 10 9 21 21 C 1.46849 * 110.99991 * 155.00100 * 8 7 6 22 22 C 1.34799 * 90.67261 * 244.63173 * 6 4 2 23 23 O 1.21280 * 132.01264 * 179.97438 * 22 6 4 24 24 C 1.49822 * 95.98168 * 359.97438 * 22 6 4 25 25 C 1.53706 * 115.53620 * 245.03740 * 24 22 6 26 26 C 1.55473 * 101.98777 * 206.27458 * 25 24 22 27 27 C 1.55009 * 101.03890 * 33.53772 * 26 25 24 28 28 O 1.42458 * 116.43102 * 116.02721 * 24 22 6 29 29 H 1.09000 * 109.47221 * 299.99844 * 1 2 3 30 30 H 1.09003 * 109.47393 * 60.00185 * 1 2 3 31 31 H 1.09003 * 109.47136 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.47203 * 239.99602 * 2 1 3 33 33 H 1.08999 * 109.47644 * 180.02562 * 3 2 1 34 34 H 1.08999 * 109.47035 * 299.99730 * 3 2 1 35 35 H 1.08999 * 109.47372 * 59.99706 * 3 2 1 36 36 H 1.08998 * 109.47550 * 210.00103 * 7 6 4 37 37 H 1.09001 * 109.46862 * 330.00533 * 7 6 4 38 38 H 1.09001 * 109.46444 * 305.85508 * 9 8 7 39 39 H 1.09002 * 109.45807 * 65.82236 * 9 8 7 40 40 H 1.09001 * 109.49847 * 180.87913 * 10 9 8 41 41 H 1.09001 * 109.53501 * 60.78763 * 10 9 8 42 42 H 1.09005 * 109.52232 * 297.75410 * 11 10 9 43 43 H 0.96991 * 120.00169 * 179.97438 * 15 14 12 44 44 H 1.09002 * 109.50350 * 182.40178 * 20 11 10 45 45 H 1.09003 * 109.50351 * 62.29118 * 20 11 10 46 46 H 1.09002 * 109.45874 * 294.18209 * 21 8 7 47 47 H 1.09001 * 109.45901 * 54.14945 * 21 8 7 48 48 H 1.08996 * 110.92778 * 324.44922 * 25 24 22 49 49 H 1.09003 * 110.92548 * 88.10113 * 25 24 22 50 50 H 1.09003 * 111.10595 * 275.59035 * 26 25 24 51 51 H 1.09005 * 111.14021 * 151.49520 * 26 25 24 52 52 H 1.08999 * 110.29788 * 205.02462 * 27 26 25 53 53 H 1.08995 * 110.38654 * 82.91603 * 27 26 25 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 6 2.0400 -0.7213 1.2492 5 1 1.5696 -1.6945 1.3892 6 7 2.0001 0.1145 2.4519 7 6 0.9326 0.7405 3.2361 8 7 0.4874 -0.1867 4.2850 9 6 1.5906 -1.0488 4.7281 10 6 1.0594 -2.0944 5.7112 11 6 0.4277 -1.3846 6.9119 12 6 -0.1504 -2.4070 7.8562 13 1 -1.2063 -2.3970 8.0824 14 6 0.6690 -3.3551 8.4312 15 7 1.9550 -3.3671 8.1560 16 14 -0.0475 -4.6229 9.6011 17 1 -0.4761 -5.8192 8.8326 18 1 0.9825 -5.0164 10.5959 19 1 -1.2186 -4.0410 10.3048 20 6 -0.6859 -0.4567 6.4183 21 6 -0.1041 0.5415 5.4148 22 6 3.3447 0.0789 2.5406 23 8 4.1192 0.5722 3.3328 24 6 3.5584 -0.7763 1.3292 25 6 4.1568 -2.1666 1.5967 26 6 4.8644 -2.4786 0.2480 27 6 5.3216 -1.0614 -0.1822 28 8 4.2698 -0.1792 0.2490 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 1.8933 -0.5139 -0.8899 33 1 3.1300 1.4425 -0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6766 1.9563 0.8899 36 1 1.3074 1.6553 3.6951 37 1 0.0937 0.9792 2.5824 38 1 2.0283 -1.5508 3.8653 39 1 2.3511 -0.4417 5.2193 40 1 1.8813 -2.7242 6.0519 41 1 0.3089 -2.7113 5.2170 42 1 1.1872 -0.7987 7.4297 43 1 2.5314 -4.0339 8.5608 44 1 -1.1111 0.0835 7.2641 45 1 -1.4641 -1.0473 5.9347 46 1 0.6644 1.1411 5.9027 47 1 -0.8973 1.1944 5.0505 48 1 4.8764 -2.1299 2.4146 49 1 3.3724 -2.8949 1.8026 50 1 4.1651 -2.9014 -0.4734 51 1 5.7190 -3.1388 0.3960 52 1 5.4354 -1.0132 -1.2652 53 1 6.2593 -0.7999 0.3080 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000840043688.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:00:17 Heat of formation + Delta-G solvation = -35.477365 kcal Electronic energy + Delta-G solvation = -31969.712661 eV Core-core repulsion = 28035.668040 eV Total energy + Delta-G solvation = -3934.044621 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -42.05253 -38.76592 -37.76469 -36.93939 -34.28362 -33.63555 -32.46402 -31.57552 -29.80609 -29.54047 -27.20764 -26.90038 -25.32478 -24.49300 -22.82053 -22.26236 -21.94207 -21.04748 -20.36944 -18.64397 -18.55560 -17.56169 -16.59822 -16.52766 -16.23946 -16.00034 -15.71407 -15.04431 -14.47266 -14.25139 -14.10537 -13.91918 -13.71568 -13.67454 -13.38928 -13.14977 -12.93195 -12.41898 -12.36635 -12.26805 -12.25297 -12.21941 -12.12119 -11.79325 -11.71304 -11.48180 -11.31021 -11.00882 -10.95100 -10.88043 -10.76501 -10.70586 -10.43000 -10.40208 -10.20092 -9.99090 -9.45637 -9.32036 -9.03921 -8.85247 -8.65846 -8.27397 -7.75854 -5.94521 -4.00375 2.34838 2.81448 3.32300 3.39066 3.42309 3.58022 3.71771 4.11385 4.24099 4.41300 4.47203 4.63382 4.68903 4.78965 4.90059 5.02373 5.06783 5.19485 5.34640 5.35354 5.38230 5.41481 5.44088 5.49426 5.60511 5.61049 5.63046 5.68088 5.81515 5.84887 5.86148 5.90364 5.97994 6.04733 6.22492 6.27169 6.29328 6.36032 6.52042 6.58962 6.64798 6.67882 6.74323 6.85676 7.07151 7.14870 7.41557 7.58562 7.63608 7.82570 8.06211 8.16668 8.25637 8.50040 9.03446 9.63914 11.11530 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014943 B = 0.003455 C = 0.003082 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1873.396313 B = 8101.608810 C = 9081.494949 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.087 4.087 3 C -0.148 4.148 4 C 0.128 3.872 5 H 0.102 0.898 6 N -0.611 5.611 7 C 0.307 3.693 8 N -0.548 5.548 9 C 0.061 3.939 10 C -0.101 4.101 11 C 0.047 3.953 12 C -0.510 4.510 13 H 0.054 0.946 14 C 0.061 3.939 15 N -0.891 5.891 16 Si 0.889 3.111 17 H -0.281 1.281 18 H -0.288 1.288 19 H -0.275 1.275 20 C -0.104 4.104 21 C 0.061 3.939 22 C 0.516 3.484 23 O -0.503 6.503 24 C 0.065 3.935 25 C -0.128 4.128 26 C -0.150 4.150 27 C 0.043 3.957 28 O -0.332 6.332 29 H 0.058 0.942 30 H 0.055 0.945 31 H 0.057 0.943 32 H 0.084 0.916 33 H 0.074 0.926 34 H 0.050 0.950 35 H 0.050 0.950 36 H 0.050 0.950 37 H 0.095 0.905 38 H 0.052 0.948 39 H 0.024 0.976 40 H 0.091 0.909 41 H 0.041 0.959 42 H 0.020 0.980 43 H 0.259 0.741 44 H 0.051 0.949 45 H 0.057 0.943 46 H 0.027 0.973 47 H 0.060 0.940 48 H 0.092 0.908 49 H 0.097 0.903 50 H 0.083 0.917 51 H 0.089 0.911 52 H 0.091 0.909 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.469 4.586 -21.314 21.941 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 -0.206 4.206 2 C -0.106 4.106 3 C -0.205 4.205 4 C 0.024 3.976 5 H 0.120 0.880 6 N -0.349 5.349 7 C 0.098 3.902 8 N -0.277 5.277 9 C -0.066 4.066 10 C -0.139 4.139 11 C 0.029 3.971 12 C -0.548 4.548 13 H 0.072 0.928 14 C -0.140 4.140 15 N -0.530 5.530 16 Si 0.717 3.283 17 H -0.208 1.208 18 H -0.213 1.213 19 H -0.200 1.200 20 C -0.142 4.142 21 C -0.066 4.066 22 C 0.301 3.699 23 O -0.375 6.375 24 C 0.020 3.980 25 C -0.166 4.166 26 C -0.188 4.188 27 C -0.033 4.033 28 O -0.249 6.249 29 H 0.077 0.923 30 H 0.074 0.926 31 H 0.076 0.924 32 H 0.102 0.898 33 H 0.092 0.908 34 H 0.069 0.931 35 H 0.069 0.931 36 H 0.068 0.932 37 H 0.112 0.888 38 H 0.071 0.929 39 H 0.042 0.958 40 H 0.109 0.891 41 H 0.060 0.940 42 H 0.038 0.962 43 H 0.069 0.931 44 H 0.070 0.930 45 H 0.076 0.924 46 H 0.045 0.955 47 H 0.078 0.922 48 H 0.111 0.889 49 H 0.115 0.885 50 H 0.102 0.898 51 H 0.107 0.893 52 H 0.110 0.890 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 2.494 4.798 -20.979 21.665 hybrid contribution 0.236 -0.359 1.156 1.233 sum 2.731 4.439 -19.824 20.497 Atomic orbital electron populations 1.21905 0.94703 1.02080 1.01928 1.21146 0.95848 0.97145 0.96508 1.21913 1.02537 0.94986 1.01040 1.22607 0.93733 0.95274 0.85970 0.88039 1.49885 1.06299 1.51248 1.27484 1.22044 0.87236 0.91046 0.89864 1.62516 1.32594 1.21133 1.11433 1.22210 0.91093 0.95467 0.97858 1.21642 1.01447 0.96504 0.94320 1.18687 0.92513 0.93221 0.92715 1.21192 0.94503 1.13471 1.25684 0.92756 1.24974 0.94814 0.97632 0.96577 1.69888 1.03669 1.35435 1.44025 0.86643 0.78795 0.81901 0.80927 1.20756 1.21341 1.19994 1.21653 0.99945 0.96860 0.95695 1.22128 0.97468 0.95957 0.91095 1.22285 0.82324 0.79913 0.85418 1.90708 1.53778 1.48891 1.44093 1.22922 0.93166 0.94077 0.87832 1.22795 1.01479 0.93196 0.99083 1.23286 1.01343 0.97566 0.96607 1.23612 0.90948 0.88468 1.00292 1.88396 1.45919 1.42622 1.47974 0.92348 0.92611 0.92420 0.89756 0.90774 0.93088 0.93098 0.93235 0.88758 0.92917 0.95803 0.89093 0.93990 0.96190 0.93116 0.93021 0.92401 0.95502 0.92202 0.88938 0.88453 0.89833 0.89274 0.89050 0.91539 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 -0.15 -1.32 9.19 37.16 0.34 -0.98 16 2 C -0.09 -0.83 2.60 -90.62 -0.24 -1.07 16 3 C -0.15 -1.55 8.27 37.16 0.31 -1.24 16 4 C 0.13 1.47 3.58 -80.14 -0.29 1.19 16 5 H 0.10 1.12 7.71 -51.93 -0.40 0.72 16 6 N -0.61 -8.82 1.00 -195.33 -0.20 -9.01 16 7 C 0.31 4.57 6.80 -63.31 -0.43 4.14 16 8 N -0.55 -9.79 4.91 -238.57 -1.17 -10.96 16 9 C 0.06 1.26 4.49 -3.83 -0.02 1.25 16 10 C -0.10 -2.43 5.12 -26.65 -0.14 -2.57 16 11 C 0.05 1.20 2.16 -91.65 -0.20 1.00 16 12 C -0.51 -14.15 8.57 -34.44 -0.29 -14.44 16 13 H 0.05 1.49 7.74 -52.49 -0.41 1.08 16 14 C 0.06 1.70 5.31 -17.82 -0.09 1.61 16 15 N -0.89 -25.80 11.37 55.43 0.63 -25.17 16 16 Si 0.89 21.45 29.54 -169.99 -5.02 16.43 16 17 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 18 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 19 H -0.27 -6.55 7.11 56.52 0.40 -6.15 16 20 C -0.10 -2.18 5.32 -26.65 -0.14 -2.32 16 21 C 0.06 1.11 5.29 -3.84 -0.02 1.09 16 22 C 0.52 8.47 6.85 -23.18 -0.16 8.31 16 23 O -0.50 -10.42 18.03 5.56 0.10 -10.32 16 24 C 0.06 0.79 1.60 -92.26 -0.15 0.64 16 25 C -0.13 -1.32 6.40 -25.05 -0.16 -1.48 16 26 C -0.15 -1.08 7.16 -24.36 -0.17 -1.26 16 27 C 0.04 0.35 7.79 38.22 0.30 0.65 16 28 O -0.33 -3.75 7.86 -35.23 -0.28 -4.03 16 29 H 0.06 0.57 5.91 -51.93 -0.31 0.27 16 30 H 0.05 0.44 8.14 -51.93 -0.42 0.01 16 31 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 32 H 0.08 0.72 8.13 -51.93 -0.42 0.30 16 33 H 0.07 0.89 5.48 -51.93 -0.28 0.60 16 34 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 35 H 0.05 0.59 7.04 -51.93 -0.37 0.22 16 36 H 0.05 0.78 7.86 -51.93 -0.41 0.37 16 37 H 0.09 1.18 5.95 -51.93 -0.31 0.87 16 38 H 0.05 1.02 6.06 -51.93 -0.31 0.70 16 39 H 0.02 0.56 8.14 -51.93 -0.42 0.13 16 40 H 0.09 2.46 6.18 -51.93 -0.32 2.14 16 41 H 0.04 1.02 8.14 -51.93 -0.42 0.60 16 42 H 0.02 0.57 8.14 -51.93 -0.42 0.14 16 43 H 0.26 7.17 8.31 -40.82 -0.34 6.83 16 44 H 0.05 1.05 8.14 -51.93 -0.42 0.63 16 45 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 46 H 0.03 0.51 8.14 -51.93 -0.42 0.09 16 47 H 0.06 0.91 8.12 -51.93 -0.42 0.49 16 48 H 0.09 1.08 8.13 -51.93 -0.42 0.66 16 49 H 0.10 0.94 7.67 -51.93 -0.40 0.54 16 50 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.09 0.52 8.14 -51.93 -0.42 0.10 16 52 H 0.09 0.55 8.14 -51.93 -0.42 0.12 16 53 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 LS Contribution 396.66 15.07 5.98 5.98 Total: -1.00 -31.88 396.66 -10.92 -42.80 By element: Atomic # 1 Polarization: 9.19 SS G_CDS: -9.41 Total: -0.23 kcal Atomic # 6 Polarization: -3.95 SS G_CDS: -1.55 Total: -5.50 kcal Atomic # 7 Polarization: -44.41 SS G_CDS: -0.74 Total: -45.14 kcal Atomic # 8 Polarization: -14.17 SS G_CDS: -0.18 Total: -14.34 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -5.02 Total: 16.43 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -31.88 -10.92 -42.80 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. ZINC000840043688.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 7.326 kcal (2) G-P(sol) polarization free energy of solvation -31.885 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -24.559 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.918 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.803 kcal (6) G-S(sol) free energy of system = (1) + (5) -35.477 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds