Wall clock time and date at job start Tue Mar 31 2020 20:40:20 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 1.53004 * 1 3 3 H 1.08997 * 109.47046 * 2 1 4 4 O 1.42899 * 109.47205 * 120.00411 * 2 1 3 5 5 C 1.42898 * 113.99694 * 270.00080 * 4 2 1 6 6 C 1.54241 * 108.89395 * 271.39279 * 5 4 2 7 7 C 1.50557 * 108.48357 * 159.18098 * 6 5 4 8 8 C 1.54071 * 112.41520 * 94.26609 * 7 6 5 9 9 C 1.54064 * 112.81376 * 318.28226 * 8 7 6 10 10 C 1.50466 * 112.49897 * 318.28221 * 9 8 7 11 11 C 1.45548 * 108.89134 * 148.60658 * 5 4 2 12 12 C 1.50706 * 109.46691 * 240.00440 * 2 1 3 13 13 O 1.21285 * 119.99799 * 250.44741 * 12 2 1 14 14 N 1.34774 * 120.00154 * 70.45367 * 12 2 1 15 15 C 1.49762 * 127.90193 * 354.55191 * 14 12 2 16 16 C 1.56017 * 105.31914 * 182.13221 * 15 14 12 17 17 H 1.08997 * 116.89573 * 159.53664 * 16 15 14 18 18 C 1.57079 * 99.60750 * 33.12773 * 16 15 14 19 19 C 1.49293 * 126.94445 * 175.31575 * 14 12 2 20 20 H 1.09006 * 116.14875 * 15.84795 * 19 14 12 21 21 C 1.56011 * 104.09228 * 246.69936 * 19 14 12 22 22 N 1.47862 * 105.10876 * 287.92103 * 21 19 14 23 23 C 1.36933 * 126.95051 * 182.02613 * 22 21 19 24 24 H 1.08004 * 120.00325 * 180.02562 * 23 22 21 25 25 C 1.38811 * 119.99872 * 0.02562 * 23 22 21 26 26 N 1.31617 * 120.00050 * 359.97438 * 25 23 22 27 27 Si 1.86804 * 120.00305 * 180.02562 * 25 23 22 28 28 H 1.48500 * 109.46668 * 359.97438 * 27 25 23 29 29 H 1.48498 * 109.47110 * 119.99911 * 27 25 23 30 30 H 1.48500 * 109.46986 * 239.99932 * 27 25 23 31 31 H 1.08994 * 109.47244 * 304.92706 * 1 2 3 32 32 H 1.08996 * 109.47196 * 64.93081 * 1 2 3 33 33 H 1.09002 * 109.47020 * 184.92673 * 1 2 3 34 34 H 1.08995 * 108.87591 * 30.00305 * 5 4 2 35 35 H 1.09007 * 109.62777 * 278.97628 * 6 5 4 36 36 H 1.08996 * 109.62733 * 39.55654 * 6 5 4 37 37 H 1.09004 * 108.92035 * 333.51039 * 7 6 5 38 38 H 1.08997 * 108.83921 * 214.96685 * 7 6 5 39 39 H 1.08996 * 108.81328 * 197.41899 * 8 7 6 40 40 H 1.09000 * 108.72271 * 79.07827 * 8 7 6 41 41 H 1.09004 * 108.87583 * 197.50367 * 9 8 7 42 42 H 1.08999 * 108.80118 * 79.00761 * 9 8 7 43 43 H 1.08999 * 109.62951 * 334.44821 * 10 9 8 44 44 H 1.08999 * 109.79385 * 213.96396 * 10 9 8 45 45 H 1.08995 * 108.89269 * 303.43630 * 11 5 4 46 46 H 1.08999 * 108.89812 * 62.03130 * 11 5 4 47 47 H 1.09001 * 109.93968 * 63.28965 * 15 14 12 48 48 H 1.08998 * 110.48323 * 301.24717 * 15 14 12 49 49 H 1.08998 * 112.36972 * 191.71843 * 18 16 15 50 50 H 1.09004 * 112.44629 * 64.29723 * 18 16 15 51 51 H 1.08997 * 110.31961 * 46.83204 * 21 19 14 52 52 H 1.09008 * 110.31425 * 169.01470 * 21 19 14 53 53 H 0.97003 * 120.00265 * 180.02562 * 26 25 23 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 1 1.8934 1.0276 0.0000 4 8 2.0064 -0.6737 1.1667 5 6 2.2001 0.1828 2.2940 6 6 3.6324 0.7532 2.2477 7 6 3.6766 2.0015 3.0882 8 6 4.1430 1.7227 4.5299 9 6 3.5262 0.4401 5.1199 10 6 2.0679 0.2933 4.7798 11 6 1.9457 -0.5746 3.5106 12 6 2.0323 -0.7104 -1.2306 13 8 2.5658 -1.7949 -1.1294 14 7 1.8887 -0.1405 -2.4435 15 6 1.1659 1.1259 -2.7852 16 6 1.2818 1.2612 -4.3352 17 1 0.5552 1.9059 -4.8295 18 6 1.2568 -0.2580 -4.7336 19 6 2.4105 -0.6551 -3.7441 20 1 2.7243 -1.6989 -3.7566 21 6 3.4861 0.3941 -4.1638 22 7 2.7193 1.5931 -4.5645 23 6 3.2251 2.7699 -5.0487 24 1 2.5577 3.5786 -5.3077 25 6 4.5956 2.9234 -5.2066 26 7 5.4090 1.9381 -4.8905 27 14 5.2859 4.5290 -5.8664 28 1 4.1711 5.4701 -6.1434 29 1 6.1997 5.1258 -4.8594 30 1 6.0353 4.2670 -7.1213 31 1 -0.3633 0.5883 0.8425 32 1 -0.3633 0.4354 -0.9308 33 1 -0.3633 -1.0239 0.0883 34 1 1.4897 1.0074 2.2365 35 1 4.3324 0.0177 2.6444 36 1 3.8966 0.9963 1.2185 37 1 2.6801 2.4423 3.1189 38 1 4.3621 2.7123 2.6270 39 1 3.8647 2.5682 5.1590 40 1 5.2286 1.6247 4.5337 41 1 3.6349 0.4630 6.2043 42 1 4.0678 -0.4217 4.7298 43 1 1.6344 1.2761 4.5944 44 1 1.5431 -0.1885 5.6047 45 1 0.9395 -0.9909 3.4632 46 1 2.6632 -1.3927 3.5737 47 1 1.6465 1.9722 -2.2943 48 1 0.1193 1.0597 -2.4883 49 1 1.5313 -0.4180 -5.7762 50 1 0.3112 -0.7386 -4.4825 51 1 4.1378 0.6257 -3.3213 52 1 4.0713 0.0207 -5.0043 53 1 6.3667 2.0454 -5.0005 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 ZINC001032617950.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 20:40:20 Heat of formation + Delta-G solvation = -36.457972 kcal Electronic energy + Delta-G solvation = -31151.010749 eV Core-core repulsion = 27216.923606 eV Total energy + Delta-G solvation = -3934.087143 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -40.25223 -39.56820 -37.98344 -36.48430 -33.65886 -32.57102 -32.22942 -31.37521 -30.22207 -28.82032 -28.56010 -25.40121 -25.16623 -24.61303 -24.09839 -22.84109 -20.85507 -20.55064 -19.79389 -19.43836 -18.53539 -17.39057 -17.04565 -16.25515 -15.97422 -15.49815 -15.35585 -15.01389 -14.63043 -14.44741 -14.10292 -13.98802 -13.54052 -13.40222 -13.17369 -13.07204 -12.69162 -12.67895 -12.47337 -12.27383 -12.00849 -11.87269 -11.64135 -11.45252 -11.33601 -11.26462 -11.14831 -11.02354 -10.87551 -10.78990 -10.77103 -10.61140 -10.55192 -10.48665 -10.46218 -10.25787 -10.07138 -9.66319 -9.60871 -9.14340 -8.72169 -8.00003 -6.95174 -5.79076 -3.13940 2.98472 3.08765 3.34943 3.39918 3.43264 3.86805 4.39194 4.44265 4.61931 4.68147 4.71857 4.92189 4.95887 5.03988 5.08036 5.09247 5.11463 5.15133 5.16621 5.20583 5.32249 5.37084 5.47580 5.53511 5.56094 5.62511 5.65104 5.70699 5.74672 5.77571 5.89253 5.90650 5.97113 5.99027 6.02795 6.06209 6.08557 6.14675 6.18378 6.22036 6.27871 6.33719 6.38386 6.45861 6.57048 6.66146 7.22513 7.40906 7.48685 7.70310 8.06229 8.09723 8.64319 9.07677 9.68663 10.37768 11.32859 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012231 B = 0.003315 C = 0.002820 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2288.697078 B = 8443.826460 C = 9926.983152 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.171 4.171 2 C 0.077 3.923 3 H 0.082 0.918 4 O -0.354 6.354 5 C 0.095 3.905 6 C -0.141 4.141 7 C -0.118 4.118 8 C -0.117 4.117 9 C -0.122 4.122 10 C -0.110 4.110 11 C -0.121 4.121 12 C 0.533 3.467 13 O -0.536 6.536 14 N -0.609 5.609 15 C 0.083 3.917 16 C 0.140 3.860 17 H 0.108 0.892 18 C -0.151 4.151 19 C 0.099 3.901 20 H 0.112 0.888 21 C 0.174 3.826 22 N -0.597 5.597 23 C -0.232 4.232 24 H 0.081 0.919 25 C -0.006 4.006 26 N -0.918 5.918 27 Si 0.912 3.088 28 H -0.279 1.279 29 H -0.291 1.291 30 H -0.290 1.290 31 H 0.064 0.936 32 H 0.075 0.925 33 H 0.068 0.932 34 H 0.055 0.945 35 H 0.073 0.927 36 H 0.069 0.931 37 H 0.059 0.941 38 H 0.063 0.937 39 H 0.057 0.943 40 H 0.059 0.941 41 H 0.058 0.942 42 H 0.063 0.937 43 H 0.066 0.934 44 H 0.067 0.933 45 H 0.067 0.933 46 H 0.072 0.928 47 H 0.071 0.929 48 H 0.058 0.942 49 H 0.084 0.916 50 H 0.065 0.935 51 H 0.047 0.953 52 H 0.056 0.944 53 H 0.253 0.747 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.263 -1.305 15.639 18.751 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 -0.229 4.229 2 C 0.015 3.985 3 H 0.100 0.900 4 O -0.273 6.273 5 C 0.038 3.962 6 C -0.179 4.179 7 C -0.156 4.156 8 C -0.154 4.154 9 C -0.159 4.159 10 C -0.148 4.148 11 C -0.158 4.158 12 C 0.320 3.680 13 O -0.413 6.413 14 N -0.345 5.345 15 C -0.042 4.042 16 C 0.031 3.969 17 H 0.125 0.875 18 C -0.191 4.191 19 C -0.004 4.004 20 H 0.130 0.870 21 C 0.049 3.951 22 N -0.322 5.322 23 C -0.360 4.360 24 H 0.099 0.901 25 C -0.202 4.202 26 N -0.565 5.565 27 Si 0.742 3.258 28 H -0.205 1.205 29 H -0.218 1.218 30 H -0.217 1.217 31 H 0.083 0.917 32 H 0.094 0.906 33 H 0.087 0.913 34 H 0.073 0.927 35 H 0.092 0.908 36 H 0.088 0.912 37 H 0.078 0.922 38 H 0.082 0.918 39 H 0.076 0.924 40 H 0.078 0.922 41 H 0.076 0.924 42 H 0.082 0.918 43 H 0.084 0.916 44 H 0.085 0.915 45 H 0.085 0.915 46 H 0.090 0.910 47 H 0.089 0.911 48 H 0.076 0.924 49 H 0.103 0.897 50 H 0.084 0.916 51 H 0.065 0.935 52 H 0.074 0.926 53 H 0.064 0.936 Dipole moment (debyes) X Y Z Total from point charges -9.651 -1.989 15.753 18.581 hybrid contribution 0.536 1.216 -0.293 1.360 sum -9.115 -0.774 15.460 17.964 Atomic orbital electron populations 1.22283 0.94080 1.03448 1.03040 1.21824 0.94650 0.96300 0.85678 0.90027 1.88095 1.86286 1.34137 1.18757 1.21081 0.95824 0.92779 0.86559 1.21895 0.97429 0.97752 1.00799 1.21303 1.01662 0.97666 0.94957 1.21921 1.00311 0.97458 0.95758 1.21379 0.95976 0.98474 1.00120 1.21227 0.96802 1.00088 0.96646 1.20530 1.02975 0.99257 0.93049 1.19803 0.79648 0.85583 0.82998 1.90673 1.44261 1.20784 1.85602 1.49568 1.54166 1.24829 1.05965 1.23731 0.94415 0.85778 1.00245 1.23167 0.89374 0.93698 0.90613 0.87457 1.24159 0.97431 0.98016 0.99481 1.24301 0.96440 0.99163 0.80483 0.87031 1.21930 0.90235 0.84084 0.98823 1.45259 0.98814 1.12844 1.75247 1.19084 0.90656 0.90151 1.36089 0.90102 1.24824 0.95987 0.97965 1.01469 1.69930 1.02616 1.30797 1.53110 0.86056 0.78897 0.82605 0.78222 1.20454 1.21798 1.21723 0.91730 0.90581 0.91300 0.92674 0.90798 0.91195 0.92186 0.91830 0.92375 0.92225 0.92363 0.91780 0.91571 0.91474 0.91453 0.90960 0.91054 0.92423 0.89732 0.91642 0.93518 0.92606 0.93618 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.17 -2.04 9.43 37.16 0.35 -1.69 16 2 C 0.08 1.17 2.28 -27.88 -0.06 1.11 16 3 H 0.08 1.19 7.57 -51.93 -0.39 0.80 16 4 O -0.35 -5.61 9.09 -54.92 -0.50 -6.11 16 5 C 0.10 1.15 1.92 -29.60 -0.06 1.10 16 6 C -0.14 -1.75 5.18 -27.30 -0.14 -1.89 16 7 C -0.12 -1.20 5.32 -27.39 -0.15 -1.34 16 8 C -0.12 -1.01 5.85 -25.62 -0.15 -1.16 16 9 C -0.12 -1.01 5.32 -27.44 -0.15 -1.15 16 10 C -0.11 -0.90 5.61 -27.35 -0.15 -1.05 16 11 C -0.12 -1.25 4.82 -29.59 -0.14 -1.39 16 12 C 0.53 10.23 7.24 -10.98 -0.08 10.15 16 13 O -0.54 -12.32 16.87 -14.14 -0.24 -12.56 16 14 N -0.61 -11.28 3.01 -155.23 -0.47 -11.75 16 15 C 0.08 1.36 5.72 -0.61 0.00 1.36 16 16 C 0.14 2.52 5.53 -62.55 -0.35 2.17 16 17 H 0.11 1.70 8.14 -51.93 -0.42 1.28 16 18 C -0.15 -2.52 6.82 -22.30 -0.15 -2.68 16 19 C 0.10 1.93 5.20 -62.55 -0.33 1.60 16 20 H 0.11 2.17 8.04 -51.93 -0.42 1.75 16 21 C 0.17 4.17 4.76 -1.68 -0.01 4.16 16 22 N -0.60 -14.08 3.02 -156.35 -0.47 -14.55 16 23 C -0.23 -6.05 10.37 -15.06 -0.16 -6.21 16 24 H 0.08 2.01 7.83 -52.48 -0.41 1.60 16 25 C -0.01 -0.15 5.49 -17.43 -0.10 -0.25 16 26 N -0.92 -26.54 10.56 55.49 0.59 -25.96 16 27 Si 0.91 21.45 29.55 -169.99 -5.02 16.42 16 28 H -0.28 -6.31 7.11 56.52 0.40 -5.91 16 29 H -0.29 -6.97 7.11 56.52 0.40 -6.56 16 30 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 31 H 0.06 0.63 7.98 -51.93 -0.41 0.22 16 32 H 0.08 0.85 5.44 -51.93 -0.28 0.57 16 33 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 34 H 0.06 0.60 6.91 -51.93 -0.36 0.24 16 35 H 0.07 0.94 6.96 -51.93 -0.36 0.57 16 36 H 0.07 1.02 7.81 -51.93 -0.41 0.62 16 37 H 0.06 0.56 6.63 -51.93 -0.34 0.22 16 38 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 39 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 40 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 41 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 42 H 0.06 0.58 6.62 -51.93 -0.34 0.24 16 43 H 0.07 0.52 6.98 -51.93 -0.36 0.16 16 44 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 45 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 46 H 0.07 0.81 7.46 -51.93 -0.39 0.43 16 47 H 0.07 1.27 8.14 -51.93 -0.42 0.85 16 48 H 0.06 0.75 6.06 -51.93 -0.31 0.44 16 49 H 0.08 1.44 8.14 -51.93 -0.42 1.02 16 50 H 0.06 0.95 8.14 -51.93 -0.42 0.52 16 51 H 0.05 1.29 7.67 -51.93 -0.40 0.89 16 52 H 0.06 1.47 7.46 -51.92 -0.39 1.09 16 53 H 0.25 7.18 8.31 -40.82 -0.34 6.84 16 LS Contribution 395.54 15.07 5.96 5.96 Total: -1.00 -31.95 395.54 -11.34 -43.28 By element: Atomic # 1 Polarization: 11.80 SS G_CDS: -9.37 Total: 2.43 kcal Atomic # 6 Polarization: 4.65 SS G_CDS: -1.81 Total: 2.83 kcal Atomic # 7 Polarization: -51.90 SS G_CDS: -0.35 Total: -52.26 kcal Atomic # 8 Polarization: -17.93 SS G_CDS: -0.74 Total: -18.67 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -5.02 Total: 16.42 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -31.95 -11.34 -43.28 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. ZINC001032617950.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 6.826 kcal (2) G-P(sol) polarization free energy of solvation -31.948 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -25.122 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.336 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.284 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.458 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds