Wall clock time and date at job start Sat Apr 11 2020 06:10:59 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 O 1.42901 * 1 3 3 C 1.42905 * 114.00024 * 2 1 4 4 C 1.53001 * 109.47054 * 180.02562 * 3 2 1 5 5 N 1.46498 * 109.47634 * 64.99625 * 4 3 2 6 6 C 1.36927 * 119.99997 * 270.00392 * 5 4 3 7 7 H 1.08001 * 119.99951 * 141.83251 * 6 5 4 8 8 C 1.38816 * 120.00201 * 321.82628 * 6 5 4 9 9 N 1.31618 * 120.00093 * 157.03883 * 8 6 5 10 10 Si 1.86802 * 119.99888 * 337.03680 * 8 6 5 11 11 H 1.48493 * 109.46951 * 95.44662 * 10 8 6 12 12 H 1.48500 * 109.47107 * 215.45250 * 10 8 6 13 13 H 1.48505 * 109.46876 * 335.44628 * 10 8 6 14 14 C 1.46503 * 119.99704 * 89.99804 * 5 4 3 15 15 C 1.53039 * 109.46166 * 244.77294 * 14 5 4 16 16 C 1.53198 * 109.31028 * 178.61784 * 15 14 5 17 17 N 1.46925 * 108.77636 * 54.63332 * 16 15 14 18 18 C 1.34782 * 120.62920 * 126.36410 * 17 16 15 19 19 O 1.21281 * 119.99937 * 0.02562 * 18 17 16 20 20 C 1.50692 * 119.99972 * 179.97438 * 18 17 16 21 21 H 1.08997 * 110.33105 * 55.70373 * 20 18 17 22 22 C 1.54478 * 110.37269 * 293.45649 * 20 18 17 23 23 C 1.54513 * 104.06310 * 217.07904 * 22 20 18 24 24 H 1.09001 * 110.51070 * 118.64204 * 23 22 20 25 25 C 1.52998 * 110.51323 * 241.21479 * 23 22 20 26 26 C 1.54476 * 104.06250 * 359.97438 * 23 22 20 27 27 O 1.44422 * 110.37402 * 177.95596 * 20 18 17 28 28 C 1.46927 * 118.73992 * 306.64374 * 17 16 15 29 29 C 1.52763 * 109.00816 * 53.30831 * 28 17 16 30 30 H 1.08993 * 109.46874 * 300.00393 * 1 2 3 31 31 H 1.09006 * 109.47035 * 59.99532 * 1 2 3 32 32 H 1.08994 * 109.47087 * 179.97438 * 1 2 3 33 33 H 1.08996 * 109.47060 * 59.99548 * 3 2 1 34 34 H 1.08999 * 109.47145 * 300.00095 * 3 2 1 35 35 H 1.08999 * 109.46851 * 304.99651 * 4 3 2 36 36 H 1.09001 * 109.46802 * 185.00028 * 4 3 2 37 37 H 0.97003 * 119.99999 * 180.02562 * 9 8 6 38 38 H 1.09004 * 109.46177 * 4.74629 * 14 5 4 39 39 H 1.08994 * 109.50019 * 58.66122 * 15 14 5 40 40 H 1.08999 * 109.49608 * 298.56764 * 15 14 5 41 41 H 1.08995 * 109.58466 * 294.84469 * 16 15 14 42 42 H 1.08999 * 109.70022 * 174.49001 * 16 15 14 43 43 H 1.09000 * 110.51414 * 335.71925 * 22 20 18 44 44 H 1.08999 * 110.51822 * 98.43027 * 22 20 18 45 45 H 1.09000 * 109.46723 * 59.99930 * 25 23 22 46 46 H 1.08997 * 109.47646 * 179.97438 * 25 23 22 47 47 H 1.09006 * 109.47017 * 300.00193 * 25 23 22 48 48 H 1.08996 * 110.37159 * 142.80778 * 26 23 22 49 49 H 1.08995 * 110.37540 * 265.14822 * 26 23 22 50 50 H 1.08999 * 109.58725 * 173.14451 * 28 17 16 51 51 H 1.09004 * 109.58118 * 293.56943 * 28 17 16 52 52 H 1.08998 * 109.55972 * 185.55513 * 29 28 17 53 53 H 1.08995 * 109.35910 * 65.50244 * 29 28 17 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 6 3.5355 1.1847 -0.0006 5 7 3.9758 0.5644 -1.2526 6 6 4.0968 -0.7970 -1.3367 7 1 3.8125 -1.3094 -2.2439 8 6 4.5851 -1.5185 -0.2560 9 7 4.2967 -2.7969 -0.1338 10 14 5.6514 -0.6750 1.0250 11 1 4.8048 -0.2388 2.1644 12 1 6.6851 -1.6239 1.5111 13 1 6.3121 0.5082 0.4178 14 6 4.2865 1.4006 -2.4147 15 6 3.2913 1.1022 -3.5384 16 6 3.5979 2.0028 -4.7391 17 7 5.0063 1.8239 -5.1171 18 6 5.3424 1.5053 -6.3829 19 8 4.4786 1.3642 -7.2225 20 6 6.7916 1.3257 -6.7552 21 1 7.2574 0.5776 -6.1138 22 6 7.5449 2.6701 -6.6482 23 6 8.5388 2.6386 -7.8308 24 1 8.3377 3.4583 -8.5206 25 6 9.9800 2.7093 -7.3220 26 6 8.2688 1.2787 -8.5120 27 8 6.9105 0.9427 -8.1426 28 6 6.0410 1.9926 -4.0877 29 6 5.7074 1.0975 -2.8956 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0276 -0.0005 33 1 1.6886 1.8464 0.8899 34 1 1.6886 1.8464 -0.8900 35 1 3.8514 0.5683 0.8410 36 1 3.9785 2.1765 0.0889 37 1 4.6376 -3.3009 0.6216 38 1 4.2143 2.4518 -2.1355 39 1 2.2777 1.2959 -3.1876 40 1 3.3804 0.0572 -3.8353 41 1 3.4214 3.0440 -4.4693 42 1 2.9569 1.7288 -5.5771 43 1 6.8526 3.5053 -6.7534 44 1 8.0804 2.7336 -5.7009 45 1 10.1775 1.8578 -6.6709 46 1 10.6659 2.6856 -8.1688 47 1 10.1232 3.6346 -6.7637 48 1 8.3545 1.3729 -9.5945 49 1 8.9613 0.5238 -8.1399 50 1 7.0115 1.7095 -4.4952 51 1 6.0678 3.0330 -3.7638 52 1 6.4135 1.2881 -2.0873 53 1 5.7739 0.0526 -3.1985 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 ZINC001699690376.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 06:10:59 Heat of formation + Delta-G solvation = -92.414586 kcal Electronic energy + Delta-G solvation = -32016.688290 eV Core-core repulsion = 27889.718634 eV Total energy + Delta-G solvation = -4126.969656 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.96 seconds Orbital eigenvalues (eV) -40.63049 -39.00338 -37.69074 -36.85938 -35.12654 -33.78645 -32.26527 -31.40842 -30.94939 -29.74741 -28.32145 -26.56393 -25.68937 -25.30687 -23.92860 -22.96330 -22.69961 -21.19156 -20.70917 -20.01158 -18.94620 -17.42307 -16.49231 -16.36279 -16.16404 -15.87113 -15.41729 -15.31575 -15.03353 -14.76242 -14.48777 -14.33668 -14.15096 -14.07089 -13.72148 -13.44013 -13.25680 -13.10171 -12.89450 -12.59339 -12.49008 -12.24821 -12.07590 -11.89075 -11.71391 -11.58200 -11.49851 -11.39185 -11.11222 -10.95376 -10.80035 -10.71014 -10.66748 -10.55445 -10.28735 -10.10494 -9.92954 -9.69551 -9.50284 -9.36480 -8.86891 -8.49512 -8.34144 -6.77379 -5.86976 -3.28114 2.67123 2.90784 3.35044 3.48021 3.51028 3.84518 4.15209 4.38809 4.52122 4.55196 4.61249 4.65929 4.82443 4.91603 4.94740 5.06609 5.15712 5.27152 5.32976 5.36542 5.42995 5.45242 5.47240 5.50831 5.61293 5.67749 5.70365 5.71550 5.72614 5.77197 5.84045 5.89665 5.90659 5.94494 6.02412 6.11368 6.13497 6.14572 6.16805 6.28330 6.40621 6.48112 6.59193 6.73597 6.80074 6.98681 7.02508 7.52343 7.97512 8.16687 8.29731 8.50475 9.05646 9.82752 10.18814 11.29135 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014797 B = 0.003195 C = 0.002904 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1891.783714 B = 8762.191079 C = 9638.673122 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.346 6.346 3 C 0.047 3.953 4 C 0.135 3.865 5 N -0.593 5.593 6 C -0.247 4.247 7 H 0.075 0.925 8 C 0.045 3.955 9 N -0.896 5.896 10 Si 0.869 3.131 11 H -0.288 1.288 12 H -0.305 1.305 13 H -0.271 1.271 14 C 0.180 3.820 15 C -0.139 4.139 16 C 0.115 3.885 17 N -0.602 5.602 18 C 0.521 3.479 19 O -0.529 6.529 20 C 0.058 3.942 21 H 0.096 0.904 22 C -0.141 4.141 23 C -0.126 4.126 24 H 0.085 0.915 25 C -0.144 4.144 26 C 0.044 3.956 27 O -0.345 6.345 28 C 0.105 3.895 29 C -0.141 4.141 30 H 0.025 0.975 31 H 0.029 0.971 32 H 0.078 0.922 33 H 0.026 0.974 34 H 0.036 0.964 35 H 0.062 0.938 36 H 0.052 0.948 37 H 0.259 0.741 38 H 0.050 0.950 39 H 0.068 0.932 40 H 0.073 0.927 41 H 0.061 0.939 42 H 0.086 0.914 43 H 0.079 0.921 44 H 0.090 0.910 45 H 0.060 0.940 46 H 0.059 0.941 47 H 0.060 0.940 48 H 0.094 0.906 49 H 0.064 0.936 50 H 0.078 0.922 51 H 0.066 0.934 52 H 0.071 0.929 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.916 14.497 -8.802 18.316 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 -0.066 4.066 2 O -0.263 6.263 3 C -0.033 4.033 4 C 0.009 3.991 5 N -0.314 5.314 6 C -0.375 4.375 7 H 0.092 0.908 8 C -0.155 4.155 9 N -0.537 5.537 10 Si 0.700 3.300 11 H -0.217 1.217 12 H -0.233 1.233 13 H -0.196 1.196 14 C 0.073 3.927 15 C -0.180 4.180 16 C -0.007 4.007 17 N -0.336 5.336 18 C 0.308 3.692 19 O -0.405 6.405 20 C -0.003 4.003 21 H 0.114 0.886 22 C -0.179 4.179 23 C -0.145 4.145 24 H 0.103 0.897 25 C -0.202 4.202 26 C -0.033 4.033 27 O -0.262 6.262 28 C -0.018 4.018 29 C -0.181 4.181 30 H 0.043 0.957 31 H 0.047 0.953 32 H 0.096 0.904 33 H 0.044 0.956 34 H 0.054 0.946 35 H 0.080 0.920 36 H 0.071 0.929 37 H 0.069 0.931 38 H 0.068 0.932 39 H 0.086 0.914 40 H 0.092 0.908 41 H 0.079 0.921 42 H 0.104 0.896 43 H 0.098 0.902 44 H 0.108 0.892 45 H 0.079 0.921 46 H 0.078 0.922 47 H 0.079 0.921 48 H 0.112 0.888 49 H 0.083 0.917 50 H 0.096 0.904 51 H 0.084 0.916 52 H 0.090 0.910 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges 6.427 13.978 -9.300 17.977 hybrid contribution 0.477 0.635 1.157 1.403 sum 6.904 14.612 -8.143 18.097 Atomic orbital electron populations 1.22637 0.83852 1.01859 0.98214 1.88312 1.16839 1.26412 1.94773 1.23278 0.97443 0.85109 0.97447 1.21340 0.90332 0.96418 0.91043 1.44096 1.75953 1.03728 1.07617 1.18454 1.37143 0.79701 1.02224 0.90787 1.25343 0.97979 0.94702 0.97497 1.69893 1.44787 1.08455 1.30570 0.87057 0.81480 0.79269 0.82211 1.21662 1.23289 1.19604 1.20315 0.91463 0.93154 0.87747 1.22374 1.00287 1.00589 0.94705 1.21682 0.81003 0.99300 0.98713 1.48041 1.08210 1.69214 1.08180 1.20094 0.90068 0.76869 0.82206 1.90693 1.50837 1.50072 1.48909 1.22845 0.94076 0.97228 0.86128 0.88647 1.23085 0.98076 0.97036 0.99672 1.22536 0.95766 0.98967 0.97206 0.89671 1.21829 0.94620 1.02417 1.01307 1.23641 0.84174 0.94706 1.00731 1.89342 1.29156 1.83807 1.23941 1.21900 0.90417 1.00245 0.89267 1.22253 0.99226 1.00874 0.95714 0.95655 0.95262 0.90352 0.95599 0.94577 0.91970 0.92949 0.93065 0.93200 0.91383 0.90844 0.92063 0.89581 0.90177 0.89177 0.92097 0.92231 0.92059 0.88793 0.91738 0.90421 0.91587 0.91033 0.90149 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.03 0.53 11.01 101.05 1.11 1.64 16 2 O -0.35 -7.56 10.18 -35.23 -0.36 -7.92 16 3 C 0.05 0.87 6.28 37.16 0.23 1.11 16 4 C 0.13 2.74 4.93 -4.04 -0.02 2.72 16 5 N -0.59 -12.86 1.98 -165.61 -0.33 -13.19 16 6 C -0.25 -6.49 8.05 -15.06 -0.12 -6.62 16 7 H 0.07 2.19 7.24 -52.49 -0.38 1.81 16 8 C 0.05 1.26 5.29 -17.43 -0.09 1.17 16 9 N -0.90 -27.17 13.97 55.49 0.78 -26.39 16 10 Si 0.87 21.45 25.12 -169.99 -4.27 17.18 16 11 H -0.29 -7.09 6.67 56.52 0.38 -6.71 16 12 H -0.30 -7.75 7.11 56.52 0.40 -7.35 16 13 H -0.27 -6.30 7.11 56.52 0.40 -5.90 16 14 C 0.18 3.16 2.60 -67.89 -0.18 2.98 16 15 C -0.14 -2.39 5.38 -26.61 -0.14 -2.53 16 16 C 0.12 1.71 6.44 -3.71 -0.02 1.68 16 17 N -0.60 -8.67 2.98 -173.03 -0.52 -9.19 16 18 C 0.52 8.34 7.00 -10.99 -0.08 8.26 16 19 O -0.53 -10.61 15.97 -13.65 -0.22 -10.83 16 20 C 0.06 0.75 2.74 -27.11 -0.07 0.67 16 21 H 0.10 1.13 7.48 -51.93 -0.39 0.74 16 22 C -0.14 -1.31 5.27 -25.16 -0.13 -1.44 16 23 C -0.13 -1.00 3.71 -89.05 -0.33 -1.33 16 24 H 0.08 0.65 8.14 -51.93 -0.42 0.22 16 25 C -0.14 -0.87 8.97 37.16 0.33 -0.54 16 26 C 0.04 0.42 7.19 37.93 0.27 0.70 16 27 O -0.34 -4.98 10.93 -54.44 -0.60 -5.58 16 28 C 0.10 1.29 5.73 -3.93 -0.02 1.26 16 29 C -0.14 -2.28 5.21 -26.83 -0.14 -2.42 16 30 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.03 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.08 1.27 8.14 -51.93 -0.42 0.85 16 33 H 0.03 0.42 8.14 -51.93 -0.42 0.00 16 34 H 0.04 0.62 8.14 -51.93 -0.42 0.20 16 35 H 0.06 1.44 3.40 -51.93 -0.18 1.27 16 36 H 0.05 0.90 7.88 -51.93 -0.41 0.49 16 37 H 0.26 7.54 8.31 -40.82 -0.34 7.20 16 38 H 0.05 0.78 7.77 -51.93 -0.40 0.37 16 39 H 0.07 1.17 8.14 -51.93 -0.42 0.75 16 40 H 0.07 1.50 7.24 -51.93 -0.38 1.12 16 41 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 42 H 0.09 1.38 7.00 -51.93 -0.36 1.02 16 43 H 0.08 0.79 7.87 -51.93 -0.41 0.38 16 44 H 0.09 0.67 6.54 -51.93 -0.34 0.33 16 45 H 0.06 0.37 8.09 -51.93 -0.42 -0.05 16 46 H 0.06 0.31 8.14 -51.93 -0.42 -0.11 16 47 H 0.06 0.34 8.14 -51.93 -0.42 -0.09 16 48 H 0.09 0.77 8.14 -51.93 -0.42 0.34 16 49 H 0.06 0.54 7.83 -51.93 -0.41 0.13 16 50 H 0.08 0.80 4.55 -51.93 -0.24 0.56 16 51 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 52 H 0.07 1.18 8.14 -51.93 -0.42 0.75 16 53 H 0.08 1.53 7.62 -51.93 -0.40 1.13 16 LS Contribution 402.47 15.07 6.07 6.07 Total: -1.00 -34.29 402.47 -8.21 -42.50 By element: Atomic # 1 Polarization: 9.39 SS G_CDS: -9.36 Total: 0.03 kcal Atomic # 6 Polarization: 6.72 SS G_CDS: 0.60 Total: 7.32 kcal Atomic # 7 Polarization: -48.70 SS G_CDS: -0.07 Total: -48.77 kcal Atomic # 8 Polarization: -23.16 SS G_CDS: -1.17 Total: -24.33 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -4.27 Total: 17.18 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -34.29 -8.21 -42.50 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. ZINC001699690376.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 -49.915 kcal (2) G-P(sol) polarization free energy of solvation -34.294 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -84.208 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.206 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.500 kcal (6) G-S(sol) free energy of system = (1) + (5) -92.415 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.96 seconds