Wall clock time and date at job start Tue Mar 31 2020 20:25:59 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 1.53002 * 1 3 3 C 1.52996 * 109.47432 * 2 1 4 4 H 1.08999 * 109.47114 * 54.99947 * 3 2 1 5 5 C 1.52996 * 109.47385 * 174.99925 * 3 2 1 6 6 N 1.46499 * 109.46953 * 294.99820 * 3 2 1 7 7 C 1.46955 * 124.35276 * 120.00125 * 6 3 2 8 8 C 1.53682 * 105.32775 * 163.67102 * 7 6 3 9 9 C 1.53855 * 102.59811 * 24.57550 * 8 7 6 10 10 C 1.34506 * 124.35556 * 299.97481 * 6 3 2 11 11 O 1.21290 * 124.94527 * 0.37017 * 10 6 3 12 12 C 1.52257 * 110.87572 * 142.83241 * 8 7 6 13 13 C 1.53217 * 109.37408 * 176.00187 * 12 8 7 14 14 C 1.53048 * 109.45008 * 300.13103 * 13 12 8 15 15 C 1.52777 * 109.56358 * 61.83220 * 14 13 12 16 16 N 1.45962 * 110.84610 * 266.34939 * 8 7 6 17 17 C 1.34770 * 120.64526 * 5.19098 * 16 8 7 18 18 O 1.21283 * 120.00175 * 4.49073 * 17 16 8 19 19 C 1.50705 * 120.00474 * 184.49466 * 17 16 8 20 20 C 1.52993 * 109.47224 * 179.97438 * 19 17 16 21 21 C 1.50710 * 109.46895 * 179.97438 * 20 19 17 22 22 H 1.07997 * 119.99717 * 0.02562 * 21 20 19 23 23 C 1.37874 * 119.99815 * 179.72265 * 21 20 19 24 24 N 1.31518 * 120.00360 * 0.28433 * 23 21 20 25 25 Si 1.86800 * 119.99782 * 180.27765 * 23 21 20 26 26 H 1.48491 * 109.46984 * 90.00664 * 25 23 21 27 27 H 1.48502 * 109.47003 * 210.00431 * 25 23 21 28 28 H 1.48495 * 109.47192 * 330.00186 * 25 23 21 29 29 H 1.08997 * 109.47346 * 179.97438 * 1 2 3 30 30 H 1.08999 * 109.47082 * 300.00296 * 1 2 3 31 31 H 1.09003 * 109.46973 * 59.99982 * 1 2 3 32 32 H 1.08999 * 109.47082 * 239.99704 * 2 1 3 33 33 H 1.09003 * 109.46973 * 120.00018 * 2 1 3 34 34 H 1.09007 * 109.47161 * 59.99655 * 5 3 2 35 35 H 1.08997 * 109.47306 * 180.02562 * 5 3 2 36 36 H 1.09001 * 109.47120 * 299.99950 * 5 3 2 37 37 H 1.09001 * 110.27595 * 44.70470 * 7 6 3 38 38 H 1.09001 * 110.35376 * 282.67932 * 7 6 3 39 39 H 1.08999 * 110.51904 * 94.64696 * 9 8 7 40 40 H 1.09007 * 110.51471 * 217.37174 * 9 8 7 41 41 H 1.09004 * 109.48973 * 295.96717 * 12 8 7 42 42 H 1.09003 * 109.48896 * 56.01098 * 12 8 7 43 43 H 1.08998 * 109.47212 * 60.12413 * 13 12 8 44 44 H 1.09000 * 109.47034 * 180.14150 * 13 12 8 45 45 H 1.09003 * 109.46454 * 181.95751 * 14 13 12 46 46 H 1.08994 * 109.47518 * 301.95342 * 14 13 12 47 47 H 1.09001 * 109.54106 * 185.11189 * 15 14 13 48 48 H 1.08999 * 109.45367 * 64.73837 * 15 14 13 49 49 H 1.09000 * 109.46378 * 59.99800 * 19 17 16 50 50 H 1.08996 * 109.46850 * 300.00383 * 19 17 16 51 51 H 1.09000 * 109.47280 * 60.00752 * 20 19 17 52 52 H 1.09003 * 109.47697 * 299.99816 * 20 19 17 53 53 H 0.97001 * 120.00406 * 180.02562 * 24 23 21 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 2.0401 1.4424 0.0000 4 1 1.6055 1.9815 0.8418 5 6 3.5649 1.4442 0.1257 6 7 1.6526 2.0974 -1.2518 7 6 0.8067 3.2963 -1.3332 8 6 1.0161 3.8457 -2.7531 9 6 1.4526 2.5951 -3.5358 10 6 2.0257 1.6790 -2.4745 11 8 2.7202 0.7094 -2.6951 12 6 -0.2830 4.4069 -3.3148 13 6 -0.0147 5.0337 -4.6869 14 6 1.0115 6.1598 -4.5409 15 6 2.3285 5.5873 -4.0195 16 7 2.0679 4.8577 -2.7686 17 6 2.7828 5.1225 -1.6573 18 8 2.6115 4.4624 -0.6543 19 6 3.7952 6.2389 -1.6606 20 6 4.4614 6.3274 -0.2862 21 6 5.4742 7.4434 -0.2899 22 1 5.6270 8.0310 -1.1830 23 6 6.2012 7.7183 0.8490 24 7 6.0148 7.0030 1.9368 25 14 7.4510 9.1066 0.8468 26 1 6.7894 10.3687 1.2642 27 1 8.5485 8.7861 1.7944 28 1 8.0086 9.2684 -0.5200 29 1 -0.3634 -1.0276 -0.0005 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5139 0.8900 34 1 3.9995 0.9051 -0.7161 35 1 3.9282 2.4719 0.1262 36 1 3.8532 0.9569 1.0571 37 1 1.1220 4.0320 -0.5932 38 1 -0.2400 3.0329 -1.1806 39 1 0.5947 2.1289 -4.0203 40 1 2.2152 2.8516 -4.2713 41 1 -1.0117 3.6029 -3.4186 42 1 -0.6737 5.1666 -2.6378 43 1 0.3742 4.2732 -5.3640 44 1 -0.9433 5.4382 -5.0894 45 1 1.1766 6.6287 -5.5110 46 1 0.6375 6.9032 -3.8370 47 1 3.0295 6.4001 -3.8296 48 1 2.7467 4.9058 -4.7603 49 1 3.2955 7.1817 -1.8832 50 1 4.5519 6.0407 -2.4196 51 1 4.9610 5.3847 -0.0632 52 1 3.7043 6.5258 0.4725 53 1 6.5260 7.1966 2.7381 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 ZINC001269990417.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 20:25:59 Heat of formation + Delta-G solvation = -57.594939 kcal Electronic energy + Delta-G solvation = -32185.339449 eV Core-core repulsion = 28250.335738 eV Total energy + Delta-G solvation = -3935.003711 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.53582 -39.17413 -37.55346 -36.14876 -34.90144 -33.47869 -32.95143 -31.42477 -30.81160 -29.69248 -28.43250 -26.69207 -25.54908 -24.41352 -23.53514 -22.46510 -22.05625 -21.27777 -20.09844 -18.81750 -18.14876 -17.08454 -16.64306 -16.39496 -15.96132 -15.36561 -15.01537 -14.91944 -14.61219 -14.43686 -14.14683 -14.03309 -13.86829 -13.71286 -13.38918 -13.19361 -13.03191 -12.89734 -12.72069 -12.41900 -12.18134 -12.07524 -11.94068 -11.77901 -11.63064 -11.43425 -11.22482 -11.11457 -11.02632 -10.95429 -10.91308 -10.78155 -10.70750 -10.61004 -10.55308 -10.00726 -9.59797 -9.38559 -9.14326 -8.78604 -8.55929 -8.34811 -7.92173 -5.99494 -4.03731 2.82309 3.00682 3.07524 3.30881 3.31435 3.37706 3.39930 4.23360 4.36206 4.44697 4.55724 4.69814 4.81676 4.90403 4.91857 5.03398 5.17606 5.19840 5.24904 5.30062 5.34998 5.35997 5.45412 5.49124 5.59462 5.60818 5.67016 5.74635 5.77382 5.78366 5.80004 5.82956 5.87182 5.96872 6.01987 6.05716 6.11485 6.13701 6.15086 6.27483 6.31229 6.38889 6.72435 6.79130 6.86595 6.99277 7.50616 7.62831 7.70054 7.81393 8.02355 8.34886 8.47845 8.65168 9.04065 9.60177 11.11242 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.010936 B = 0.004101 C = 0.003226 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2559.732879 B = 6826.778935 C = 8676.442875 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.142 4.142 3 C 0.168 3.832 4 H 0.086 0.914 5 C -0.166 4.166 6 N -0.582 5.582 7 C 0.063 3.937 8 C 0.165 3.835 9 C -0.165 4.165 10 C 0.517 3.483 11 O -0.544 6.544 12 C -0.114 4.114 13 C -0.118 4.118 14 C -0.136 4.136 15 C 0.107 3.893 16 N -0.610 5.610 17 C 0.515 3.485 18 O -0.510 6.510 19 C -0.130 4.130 20 C 0.041 3.959 21 C -0.528 4.528 22 H 0.054 0.946 23 C 0.060 3.940 24 N -0.889 5.889 25 Si 0.891 3.109 26 H -0.281 1.281 27 H -0.286 1.286 28 H -0.274 1.274 29 H 0.049 0.951 30 H 0.052 0.948 31 H 0.050 0.950 32 H 0.075 0.925 33 H 0.069 0.931 34 H 0.061 0.939 35 H 0.074 0.926 36 H 0.058 0.942 37 H 0.158 0.842 38 H 0.054 0.946 39 H 0.103 0.897 40 H 0.099 0.901 41 H 0.076 0.924 42 H 0.074 0.926 43 H 0.065 0.935 44 H 0.066 0.934 45 H 0.075 0.925 46 H 0.070 0.930 47 H 0.095 0.905 48 H 0.065 0.935 49 H 0.079 0.921 50 H 0.078 0.922 51 H 0.023 0.977 52 H 0.023 0.977 53 H 0.261 0.739 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.796 -6.850 -11.974 20.972 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 -0.202 4.202 2 C -0.180 4.180 3 C 0.066 3.934 4 H 0.104 0.896 5 C -0.224 4.224 6 N -0.314 5.314 7 C -0.059 4.059 8 C 0.079 3.921 9 C -0.206 4.206 10 C 0.304 3.696 11 O -0.422 6.422 12 C -0.153 4.153 13 C -0.156 4.156 14 C -0.174 4.174 15 C -0.015 4.015 16 N -0.345 5.345 17 C 0.308 3.692 18 O -0.387 6.387 19 C -0.169 4.169 20 C 0.003 3.997 21 C -0.566 4.566 22 H 0.073 0.927 23 C -0.142 4.142 24 N -0.527 5.527 25 Si 0.719 3.281 26 H -0.207 1.207 27 H -0.212 1.212 28 H -0.199 1.199 29 H 0.068 0.932 30 H 0.071 0.929 31 H 0.069 0.931 32 H 0.094 0.906 33 H 0.088 0.912 34 H 0.080 0.920 35 H 0.093 0.907 36 H 0.077 0.923 37 H 0.174 0.826 38 H 0.072 0.928 39 H 0.122 0.878 40 H 0.117 0.883 41 H 0.094 0.906 42 H 0.093 0.907 43 H 0.084 0.916 44 H 0.085 0.915 45 H 0.093 0.907 46 H 0.089 0.911 47 H 0.113 0.887 48 H 0.083 0.917 49 H 0.097 0.903 50 H 0.096 0.904 51 H 0.041 0.959 52 H 0.041 0.959 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges -15.417 -7.757 -11.253 20.603 hybrid contribution 0.656 0.840 -0.148 1.076 sum -14.761 -6.918 -11.401 19.893 Atomic orbital electron populations 1.21704 0.95999 1.01011 1.01511 1.21985 0.95940 0.96974 1.03125 1.20831 0.95599 0.91849 0.85106 0.89632 1.22133 0.94755 1.03823 1.01650 1.48060 1.49683 1.28037 1.05609 1.23435 0.93148 0.90214 0.99117 1.20600 0.88333 0.87379 0.95821 1.22741 1.03105 0.96196 0.98572 1.20699 0.79766 0.84647 0.84455 1.90656 1.38853 1.28730 1.83985 1.21705 0.95177 1.01049 0.97355 1.21537 0.99324 0.98109 0.96625 1.21847 0.95522 0.98282 1.01751 1.21697 0.97616 0.96550 0.85683 1.47951 1.35894 1.38966 1.11650 1.21590 0.81103 0.85069 0.81473 1.90348 1.64141 1.50396 1.33824 1.21928 0.95944 0.94603 1.04458 1.18872 0.94994 0.97370 0.88439 1.21201 1.21373 1.16434 0.97585 0.92729 1.24995 0.97145 0.96428 0.95625 1.69986 1.41254 1.39515 1.01972 0.86621 0.81202 0.82441 0.77875 1.20684 1.21217 1.19896 0.93179 0.92926 0.93061 0.90585 0.91201 0.91989 0.90703 0.92315 0.82583 0.92840 0.87838 0.88256 0.90585 0.90743 0.91639 0.91487 0.90664 0.91143 0.88682 0.91681 0.90279 0.90403 0.95884 0.95884 0.92964 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 -0.14 -1.60 9.80 37.16 0.36 -1.24 16 2 C -0.14 -1.85 5.36 -26.73 -0.14 -1.99 16 3 C 0.17 2.51 2.71 -67.94 -0.18 2.33 16 4 H 0.09 1.25 8.07 -51.93 -0.42 0.83 16 5 C -0.17 -2.81 9.20 37.16 0.34 -2.47 16 6 N -0.58 -8.64 1.60 -165.09 -0.26 -8.90 16 7 C 0.06 0.83 5.53 -3.44 -0.02 0.81 16 8 C 0.17 1.88 0.87 -131.69 -0.11 1.76 16 9 C -0.16 -1.96 5.40 -27.07 -0.15 -2.10 16 10 C 0.52 8.19 7.41 -10.73 -0.08 8.11 16 11 O -0.54 -10.39 15.07 5.55 0.08 -10.30 16 12 C -0.11 -0.95 4.68 -27.00 -0.13 -1.07 16 13 C -0.12 -0.83 5.79 -26.59 -0.15 -0.99 16 14 C -0.14 -1.05 6.04 -26.82 -0.16 -1.22 16 15 C 0.11 1.08 6.06 -3.80 -0.02 1.06 16 16 N -0.61 -7.90 2.69 -158.36 -0.43 -8.33 16 17 C 0.52 8.88 7.54 -10.99 -0.08 8.80 16 18 O -0.51 -9.99 10.17 5.55 0.06 -9.93 16 19 C -0.13 -2.46 3.99 -27.88 -0.11 -2.57 16 20 C 0.04 1.04 4.26 -27.88 -0.12 0.92 16 21 C -0.53 -14.52 9.11 -34.44 -0.31 -14.84 16 22 H 0.05 1.43 7.74 -52.49 -0.41 1.02 16 23 C 0.06 1.70 5.46 -17.82 -0.10 1.60 16 24 N -0.89 -26.76 13.29 55.43 0.74 -26.02 16 25 Si 0.89 21.34 29.54 -169.99 -5.02 16.31 16 26 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 27 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 28 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 29 H 0.05 0.50 8.14 -51.93 -0.42 0.07 16 30 H 0.05 0.54 8.14 -51.93 -0.42 0.12 16 31 H 0.05 0.58 7.75 -51.93 -0.40 0.18 16 32 H 0.08 1.15 6.63 -51.93 -0.34 0.81 16 33 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 34 H 0.06 1.14 6.80 -51.93 -0.35 0.78 16 35 H 0.07 1.50 7.25 -51.93 -0.38 1.12 16 36 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 37 H 0.16 2.51 4.55 -57.56 -0.26 2.24 16 38 H 0.05 0.59 7.86 -51.93 -0.41 0.19 16 39 H 0.10 0.99 7.74 -51.93 -0.40 0.59 16 40 H 0.10 1.19 7.16 -51.92 -0.37 0.82 16 41 H 0.08 0.53 7.95 -51.93 -0.41 0.12 16 42 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 43 H 0.06 0.44 7.64 -51.93 -0.40 0.05 16 44 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 45 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 46 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 47 H 0.09 0.98 5.95 -51.93 -0.31 0.67 16 48 H 0.06 0.60 7.44 -51.93 -0.39 0.22 16 49 H 0.08 1.37 7.84 -51.93 -0.41 0.97 16 50 H 0.08 1.41 7.80 -51.93 -0.41 1.00 16 51 H 0.02 0.65 8.10 -51.93 -0.42 0.23 16 52 H 0.02 0.64 8.10 -51.93 -0.42 0.22 16 53 H 0.26 7.41 8.31 -40.82 -0.34 7.08 16 LS Contribution 398.71 15.07 6.01 6.01 Total: -1.00 -32.87 398.71 -9.42 -42.29 By element: Atomic # 1 Polarization: 11.39 SS G_CDS: -9.42 Total: 1.96 kcal Atomic # 6 Polarization: -1.93 SS G_CDS: -1.17 Total: -3.10 kcal Atomic # 7 Polarization: -43.29 SS G_CDS: 0.05 Total: -43.25 kcal Atomic # 8 Polarization: -20.38 SS G_CDS: 0.14 Total: -20.24 kcal Atomic # 14 Polarization: 21.34 SS G_CDS: -5.02 Total: 16.31 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -32.87 -9.42 -42.29 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. ZINC001269990417.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 -15.302 kcal (2) G-P(sol) polarization free energy of solvation -32.875 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -48.177 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.418 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.293 kcal (6) G-S(sol) free energy of system = (1) + (5) -57.595 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds