Wall clock time and date at job start Tue Mar 31 2020 19:54:30 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 1.52993 * 1 3 3 H 1.08998 * 109.47466 * 2 1 4 4 C 1.52993 * 109.47460 * 239.99405 * 2 1 3 5 5 C 1.53007 * 109.47560 * 180.02562 * 4 2 1 6 6 C 1.53004 * 109.46777 * 60.00016 * 5 4 2 7 7 C 1.53001 * 109.47307 * 300.00311 * 6 5 4 8 8 C 1.52993 * 109.47056 * 60.00002 * 7 6 5 9 9 H 1.08998 * 109.47424 * 59.99852 * 8 7 6 10 10 C 1.53001 * 109.47056 * 179.97438 * 8 7 6 11 11 N 1.46498 * 109.47411 * 295.00011 * 10 8 7 12 12 C 1.34767 * 120.00374 * 179.97438 * 11 10 8 13 13 O 1.21348 * 119.99911 * 0.02562 * 12 11 10 14 14 C 1.49446 * 120.00049 * 180.27806 * 12 11 10 15 15 O 1.21344 * 119.99968 * 352.78961 * 14 12 11 16 16 N 1.34783 * 119.99896 * 172.79835 * 14 12 11 17 17 C 1.46928 * 120.63096 * 1.66541 * 16 14 12 18 18 C 1.52760 * 109.00972 * 233.58892 * 17 16 14 19 19 C 1.53047 * 109.38164 * 305.58824 * 18 17 16 20 20 C 1.53045 * 109.53655 * 61.24185 * 19 18 17 21 21 H 1.09003 * 109.49745 * 58.58321 * 20 19 18 22 22 C 1.50693 * 109.49524 * 178.68043 * 20 19 18 23 23 H 1.07998 * 120.00195 * 359.83746 * 22 20 19 24 24 C 1.37881 * 119.99918 * 179.83656 * 22 20 19 25 25 N 1.31515 * 120.00143 * 0.02562 * 24 22 20 26 26 Si 1.86805 * 120.00164 * 180.02562 * 24 22 20 27 27 H 1.48502 * 109.46738 * 0.02562 * 26 24 22 28 28 H 1.48499 * 109.46935 * 120.00006 * 26 24 22 29 29 H 1.48495 * 109.47148 * 240.00279 * 26 24 22 30 30 C 1.46924 * 120.62998 * 181.95330 * 16 14 12 31 31 H 1.08992 * 109.47475 * 300.00401 * 1 2 3 32 32 H 1.09004 * 109.47011 * 60.00609 * 1 2 3 33 33 H 1.09005 * 109.47084 * 179.97438 * 1 2 3 34 34 H 1.09003 * 109.47067 * 60.00543 * 4 2 1 35 35 H 1.08998 * 109.47666 * 300.00053 * 4 2 1 36 36 H 1.09005 * 109.46925 * 300.00617 * 5 4 2 37 37 H 1.08992 * 109.47575 * 180.02562 * 5 4 2 38 38 H 1.09000 * 109.46784 * 180.02562 * 6 5 4 39 39 H 1.08998 * 109.46759 * 60.00207 * 6 5 4 40 40 H 1.09006 * 109.46924 * 300.00292 * 7 6 5 41 41 H 1.08996 * 109.47005 * 180.02562 * 7 6 5 42 42 H 1.09003 * 109.47286 * 174.99615 * 10 8 7 43 43 H 1.08998 * 109.46928 * 55.00316 * 10 8 7 44 44 H 0.96999 * 119.99283 * 0.02562 * 11 10 8 45 45 H 1.09001 * 109.58400 * 353.42249 * 17 16 14 46 46 H 1.09006 * 109.58397 * 113.85006 * 17 16 14 47 47 H 1.08995 * 109.56227 * 185.55466 * 18 17 16 48 48 H 1.09000 * 109.38534 * 65.51233 * 18 17 16 49 49 H 1.08993 * 109.45923 * 301.22010 * 19 18 17 50 50 H 1.09000 * 109.44643 * 181.25037 * 19 18 17 51 51 H 0.96996 * 120.00262 * 180.02562 * 25 24 22 52 52 H 1.08997 * 109.58628 * 246.15208 * 30 16 14 53 53 H 1.09004 * 109.58700 * 6.42999 * 30 16 14 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 1.5299 0.0000 0.0000 3 1 1.8933 1.0276 0.0000 4 6 2.0400 -0.7213 -1.2491 5 6 3.5701 -0.7219 -1.2488 6 6 4.0795 -1.4434 0.0006 7 6 3.5694 -0.7221 1.2498 8 6 2.0395 -0.7216 1.2494 9 1 1.6757 -1.7491 1.2491 10 6 1.5294 -0.0008 2.4989 11 7 1.9164 -0.7581 3.6917 12 6 1.5731 -0.3098 4.9154 13 8 0.9431 0.7211 5.0291 14 6 1.9733 -1.0791 6.1325 15 8 2.4910 -2.1705 6.0174 16 7 1.7589 -0.5608 7.3581 17 6 1.0999 0.7430 7.5147 18 6 1.9806 1.6452 8.3772 19 6 2.2947 0.9368 9.6970 20 6 3.0588 -0.3586 9.4132 21 1 3.9776 -0.1283 8.8739 22 6 3.3960 -1.0390 10.7149 23 1 3.0978 -0.5912 11.6514 24 6 4.0851 -2.2332 10.7102 25 7 4.4486 -2.7782 9.5699 26 14 4.5025 -3.0771 12.3237 27 1 3.9850 -2.2659 13.4548 28 1 3.8772 -4.4237 12.3541 29 1 5.9763 -3.2127 12.4446 30 6 2.1854 -1.2860 8.5626 31 1 -0.3634 0.5138 0.8899 32 1 -0.3633 0.5138 -0.8901 33 1 -0.3633 -1.0277 -0.0005 34 1 1.6768 -0.2075 -2.1392 35 1 1.6767 -1.7490 -1.2491 36 1 3.9338 0.3057 -1.2486 37 1 3.9334 -1.2354 -2.1389 38 1 5.1695 -1.4434 0.0010 39 1 3.7157 -2.4709 0.0004 40 1 3.9331 0.3055 1.2499 41 1 3.9327 -1.2359 2.1397 42 1 0.4431 0.0779 2.4550 43 1 1.9644 0.9975 2.5454 44 1 2.4203 -1.5820 3.6007 45 1 0.9584 1.2008 6.5356 46 1 0.1334 0.6080 8.0004 47 1 1.4569 2.5791 8.5813 48 1 2.9096 1.8571 7.8479 49 1 1.3642 0.7036 10.2144 50 1 2.9047 1.5886 10.3225 51 1 4.9331 -3.6185 9.5665 52 1 1.3093 -1.5899 9.1355 53 1 2.7576 -2.1680 8.2748 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 ZINC001330393291.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 19:54:30 Heat of formation + Delta-G solvation = -90.803668 kcal Electronic energy + Delta-G solvation = -30247.452080 eV Core-core repulsion = 26311.008330 eV Total energy + Delta-G solvation = -3936.443750 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.96 seconds Orbital eigenvalues (eV) -40.59192 -39.50448 -38.12993 -36.83884 -35.08264 -33.25932 -33.01917 -31.74426 -31.27615 -29.74429 -27.47214 -26.25087 -25.22399 -24.89047 -22.80217 -21.81998 -21.65217 -21.24630 -20.38385 -19.83071 -18.78054 -17.24345 -16.62301 -16.17753 -15.80089 -15.44317 -15.37101 -14.96017 -14.70747 -14.55951 -14.45912 -14.34197 -13.78904 -13.69187 -13.51586 -13.16336 -12.95587 -12.80783 -12.58460 -12.39135 -12.18495 -12.09880 -12.07841 -11.84172 -11.78587 -11.40104 -11.31775 -11.17278 -10.99268 -10.74743 -10.65971 -10.43418 -10.35531 -10.31305 -10.26632 -10.02876 -9.85537 -9.20378 -9.18276 -9.10490 -8.49581 -8.39896 -7.80980 -6.01565 -4.09743 1.83335 2.73548 3.29521 3.37793 3.41231 3.68251 3.98907 4.25301 4.33515 4.39207 4.42212 4.71527 4.73463 4.82709 4.95505 5.06316 5.13054 5.15963 5.20788 5.28867 5.33293 5.45574 5.49846 5.53348 5.64067 5.65525 5.70303 5.71757 5.76385 5.83761 5.89071 5.90466 5.93564 6.01810 6.04401 6.11682 6.20991 6.27980 6.40236 6.61225 6.64976 6.78071 6.87635 7.00112 7.06598 7.19925 7.27572 7.60515 7.83924 7.96162 8.02912 8.18865 8.36427 8.60740 8.94565 9.55817 11.03929 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.018113 B = 0.002489 C = 0.002280 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1545.443425 B =11248.054107 C =12275.607795 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.082 4.082 3 H 0.073 0.927 4 C -0.113 4.113 5 C -0.121 4.121 6 C -0.120 4.120 7 C -0.119 4.119 8 C -0.095 4.095 9 H 0.080 0.920 10 C 0.118 3.882 11 N -0.702 5.702 12 C 0.511 3.489 13 O -0.517 6.517 14 C 0.493 3.507 15 O -0.525 6.525 16 N -0.566 5.566 17 C 0.049 3.951 18 C -0.131 4.131 19 C -0.113 4.113 20 C 0.041 3.959 21 H 0.029 0.971 22 C -0.518 4.518 23 H 0.060 0.940 24 C 0.061 3.939 25 N -0.882 5.882 26 Si 0.893 3.107 27 H -0.273 1.273 28 H -0.284 1.284 29 H -0.284 1.284 30 C 0.107 3.893 31 H 0.061 0.939 32 H 0.055 0.945 33 H 0.055 0.945 34 H 0.062 0.938 35 H 0.062 0.938 36 H 0.061 0.939 37 H 0.060 0.940 38 H 0.062 0.938 39 H 0.062 0.938 40 H 0.065 0.935 41 H 0.067 0.933 42 H 0.076 0.924 43 H 0.071 0.929 44 H 0.412 0.588 45 H 0.146 0.854 46 H 0.057 0.943 47 H 0.059 0.941 48 H 0.056 0.944 49 H 0.049 0.951 50 H 0.050 0.950 51 H 0.263 0.737 52 H 0.048 0.952 53 H 0.124 0.876 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.746 5.698 -21.697 23.157 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 -0.211 4.211 2 C -0.101 4.101 3 H 0.092 0.908 4 C -0.150 4.150 5 C -0.158 4.158 6 C -0.157 4.157 7 C -0.157 4.157 8 C -0.114 4.114 9 H 0.098 0.902 10 C -0.005 4.005 11 N -0.355 5.355 12 C 0.294 3.706 13 O -0.395 6.395 14 C 0.274 3.726 15 O -0.403 6.403 16 N -0.297 5.297 17 C -0.073 4.073 18 C -0.169 4.169 19 C -0.151 4.151 20 C 0.021 3.979 21 H 0.047 0.953 22 C -0.557 4.557 23 H 0.078 0.922 24 C -0.141 4.141 25 N -0.520 5.520 26 Si 0.721 3.279 27 H -0.198 1.198 28 H -0.210 1.210 29 H -0.210 1.210 30 C -0.012 4.012 31 H 0.080 0.920 32 H 0.074 0.926 33 H 0.075 0.925 34 H 0.081 0.919 35 H 0.081 0.919 36 H 0.080 0.920 37 H 0.079 0.921 38 H 0.081 0.919 39 H 0.081 0.919 40 H 0.084 0.916 41 H 0.086 0.914 42 H 0.094 0.906 43 H 0.089 0.911 44 H 0.249 0.751 45 H 0.162 0.838 46 H 0.075 0.925 47 H 0.078 0.922 48 H 0.075 0.925 49 H 0.068 0.932 50 H 0.069 0.931 51 H 0.073 0.927 52 H 0.066 0.934 53 H 0.142 0.858 Dipole moment (debyes) X Y Z Total from point charges -5.830 5.683 -21.729 23.204 hybrid contribution 0.497 -0.873 0.986 1.407 sum -5.332 4.810 -20.743 21.951 Atomic orbital electron populations 1.21949 0.95068 1.02104 1.02024 1.21068 0.95557 0.99677 0.93792 0.90822 1.21582 0.95538 1.00728 0.97192 1.21551 0.95623 1.00806 0.97841 1.21529 1.00398 0.99455 0.94332 1.21643 0.94353 1.01384 0.98292 1.21456 0.96108 1.00329 0.93466 0.90203 1.21615 1.00592 0.95459 0.82847 1.45860 1.56595 1.28062 1.05010 1.20762 0.79527 0.85125 0.85164 1.90274 1.40227 1.24465 1.84543 1.19776 0.81695 0.86648 0.84497 1.90759 1.43139 1.20463 1.85930 1.48457 1.55024 1.20406 1.05846 1.23061 0.94757 0.83650 1.05811 1.21840 0.99552 0.97776 0.97748 1.21665 1.00039 0.98464 0.94914 1.18970 0.93562 0.90180 0.95146 0.95285 1.21132 1.36112 1.06385 0.92043 0.92204 1.25067 0.95408 0.97308 0.96327 1.69886 1.38594 1.18867 1.24621 0.86519 0.78086 0.79452 0.83861 1.19772 1.20962 1.21001 1.22482 0.98092 0.98681 0.81993 0.92043 0.92609 0.92545 0.91946 0.91894 0.92014 0.92147 0.91878 0.91879 0.91591 0.91442 0.90633 0.91057 0.75069 0.83804 0.92511 0.92205 0.92537 0.93215 0.93114 0.92711 0.93395 0.85847 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -1.01 8.85 37.15 0.33 -0.68 16 2 C -0.08 -0.55 2.25 -90.62 -0.20 -0.75 16 3 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 4 C -0.11 -0.70 5.20 -26.73 -0.14 -0.84 16 5 C -0.12 -0.77 5.92 -26.73 -0.16 -0.93 16 6 C -0.12 -0.86 5.92 -26.73 -0.16 -1.02 16 7 C -0.12 -0.97 5.08 -26.73 -0.14 -1.11 16 8 C -0.09 -0.74 1.75 -90.62 -0.16 -0.90 16 9 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 10 C 0.12 1.18 4.85 -4.04 -0.02 1.16 16 11 N -0.70 -9.07 5.27 -60.73 -0.32 -9.39 16 12 C 0.51 8.48 7.80 -11.59 -0.09 8.39 16 13 O -0.52 -8.84 13.02 5.50 0.07 -8.77 16 14 C 0.49 10.07 7.76 -11.58 -0.09 9.98 16 15 O -0.53 -12.07 15.91 5.50 0.09 -11.99 16 16 N -0.57 -11.99 2.98 -173.54 -0.52 -12.51 16 17 C 0.05 0.89 6.20 -3.93 -0.02 0.86 16 18 C -0.13 -2.35 6.07 -26.83 -0.16 -2.52 16 19 C -0.11 -2.36 5.11 -26.68 -0.14 -2.49 16 20 C 0.04 1.02 2.25 -91.65 -0.21 0.81 16 21 H 0.03 0.81 8.14 -51.93 -0.42 0.39 16 22 C -0.52 -14.11 8.56 -34.44 -0.29 -14.41 16 23 H 0.06 1.60 7.74 -52.49 -0.41 1.20 16 24 C 0.06 1.70 5.30 -17.82 -0.09 1.60 16 25 N -0.88 -25.49 11.39 55.43 0.63 -24.86 16 26 Si 0.89 21.24 29.54 -169.99 -5.02 16.21 16 27 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 28 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 29 H -0.28 -6.74 7.11 56.52 0.40 -6.33 16 30 C 0.11 2.64 5.40 -3.71 -0.02 2.62 16 31 H 0.06 0.43 6.32 -51.93 -0.33 0.10 16 32 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 33 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 35 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 36 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 37 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 38 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 39 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 40 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 41 H 0.07 0.62 7.18 -51.93 -0.37 0.25 16 42 H 0.08 0.76 6.17 -51.93 -0.32 0.44 16 43 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 44 H 0.41 5.14 7.15 -40.82 -0.29 4.85 16 45 H 0.15 2.55 3.79 -56.97 -0.22 2.33 16 46 H 0.06 0.98 8.14 -51.93 -0.42 0.56 16 47 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 48 H 0.06 1.05 8.14 -51.93 -0.42 0.62 16 49 H 0.05 1.01 8.14 -51.93 -0.42 0.59 16 50 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 51 H 0.26 7.28 8.31 -40.82 -0.34 6.94 16 52 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 53 H 0.12 3.46 5.14 -51.93 -0.27 3.20 16 LS Contribution 400.21 15.07 6.03 6.03 Total: -1.00 -30.18 400.21 -10.17 -40.35 By element: Atomic # 1 Polarization: 14.50 SS G_CDS: -9.37 Total: 5.13 kcal Atomic # 6 Polarization: 1.55 SS G_CDS: -1.76 Total: -0.21 kcal Atomic # 7 Polarization: -46.56 SS G_CDS: -0.21 Total: -46.76 kcal Atomic # 8 Polarization: -20.91 SS G_CDS: 0.16 Total: -20.76 kcal Atomic # 14 Polarization: 21.24 SS G_CDS: -5.02 Total: 16.21 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -30.18 -10.17 -40.35 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. ZINC001330393291.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 -50.450 kcal (2) G-P(sol) polarization free energy of solvation -30.183 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -80.633 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.171 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.354 kcal (6) G-S(sol) free energy of system = (1) + (5) -90.804 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.96 seconds