Wall clock time and date at job start Sat Apr 11 2020 06:11:27 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 1.53000 * 1 3 3 C 1.52996 * 109.47420 * 2 1 4 4 N 1.46504 * 109.47430 * 120.00425 * 2 1 3 5 5 C 1.34775 * 119.99970 * 154.99812 * 4 2 1 6 6 O 1.21282 * 120.00318 * 359.97438 * 5 4 2 7 7 C 1.50702 * 119.99861 * 179.97438 * 5 4 2 8 8 N 1.46894 * 109.47090 * 179.97438 * 7 5 4 9 9 C 1.46904 * 110.99742 * 170.00193 * 8 7 5 10 10 C 1.53244 * 109.33717 * 187.25979 * 9 8 7 11 11 N 1.47078 * 108.52025 * 306.16597 * 10 9 8 12 12 C 1.34774 * 120.88580 * 231.19079 * 11 10 9 13 13 O 1.21581 * 120.00222 * 184.98784 * 12 11 10 14 14 N 1.34780 * 119.99633 * 4.71390 * 12 11 10 15 15 C 1.46503 * 119.99662 * 175.19700 * 14 12 11 16 16 C 1.53001 * 109.46836 * 180.02562 * 15 14 12 17 17 C 1.52999 * 109.47402 * 179.97438 * 16 15 14 18 18 C 1.50691 * 109.47599 * 179.97438 * 17 16 15 19 19 H 1.08009 * 119.99904 * 0.02562 * 18 17 16 20 20 C 1.37879 * 120.00336 * 179.97438 * 18 17 16 21 21 N 1.31509 * 119.99674 * 0.02562 * 20 18 17 22 22 Si 1.86801 * 119.99977 * 180.02562 * 20 18 17 23 23 H 1.48498 * 109.47454 * 0.02562 * 22 20 18 24 24 H 1.48500 * 109.46688 * 120.00157 * 22 20 18 25 25 H 1.48501 * 109.46992 * 240.00203 * 22 20 18 26 26 C 1.47081 * 118.23549 * 51.46114 * 11 10 9 27 27 C 1.46897 * 111.00511 * 294.30409 * 8 7 5 28 28 H 1.09002 * 109.46865 * 299.99727 * 1 2 3 29 29 H 1.08999 * 109.47149 * 59.99842 * 1 2 3 30 30 H 1.08995 * 109.47048 * 180.02562 * 1 2 3 31 31 H 1.09002 * 109.46865 * 240.00273 * 2 1 3 32 32 H 1.09001 * 109.47438 * 300.00602 * 3 2 1 33 33 H 1.09002 * 109.46879 * 60.00281 * 3 2 1 34 34 H 1.08998 * 109.47902 * 180.02562 * 3 2 1 35 35 H 0.97002 * 119.99486 * 334.99618 * 4 2 1 36 36 H 1.09002 * 109.46973 * 59.99886 * 7 5 4 37 37 H 1.08998 * 109.47143 * 300.00481 * 7 5 4 38 38 H 1.08997 * 109.49477 * 67.29646 * 9 8 7 39 39 H 1.08997 * 109.49313 * 307.21133 * 9 8 7 40 40 H 1.09003 * 109.62633 * 186.46131 * 10 9 8 41 41 H 1.08993 * 109.62882 * 65.87882 * 10 9 8 42 42 H 0.96993 * 120.00011 * 355.19747 * 14 12 11 43 43 H 1.08996 * 109.46867 * 299.99425 * 15 14 12 44 44 H 1.08997 * 109.47602 * 60.00251 * 15 14 12 45 45 H 1.09002 * 109.47346 * 299.99738 * 16 15 14 46 46 H 1.08999 * 109.47423 * 59.99800 * 16 15 14 47 47 H 1.09002 * 109.46883 * 300.00299 * 17 16 15 48 48 H 1.08999 * 109.46768 * 59.99677 * 17 16 15 49 49 H 0.97000 * 119.99992 * 180.02562 * 21 20 18 50 50 H 1.09002 * 109.63018 * 68.24833 * 26 11 10 51 51 H 1.09001 * 109.63196 * 188.83157 * 26 11 10 52 52 H 1.08993 * 109.49068 * 292.70728 * 27 8 7 53 53 H 1.09000 * 109.49095 * 52.78808 * 27 8 7 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 7 2.0184 -0.6907 1.1961 5 6 3.2404 -1.2593 1.1942 6 8 3.9355 -1.1995 0.2022 7 6 3.7430 -1.9692 2.4248 8 7 5.0893 -2.4984 2.1693 9 6 5.7069 -2.9872 3.4093 10 6 7.1677 -3.3606 3.1357 11 7 7.2055 -4.3042 2.0082 12 6 7.8771 -5.4689 2.1029 13 8 7.9742 -6.1953 1.1328 14 7 8.4458 -5.8256 3.2716 15 6 9.0848 -7.1372 3.4050 16 6 9.6463 -7.2893 4.8201 17 6 10.3130 -8.6593 4.9597 18 6 10.8666 -8.8089 6.3533 19 1 10.7537 -8.0072 7.0682 20 6 11.5163 -9.9697 6.7161 21 7 11.6532 -10.9461 5.8458 22 14 12.2018 -10.1554 8.4438 23 1 11.9179 -8.9242 9.2241 24 1 11.5624 -11.3199 9.1075 25 1 13.6695 -10.3700 8.3735 26 6 6.4958 -3.9405 0.7724 27 6 5.0565 -3.5469 1.1410 28 1 -0.3633 0.5138 0.8900 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3633 -1.0276 0.0005 31 1 1.8933 -0.5138 -0.8900 32 1 1.6767 1.9564 -0.8899 33 1 1.6768 1.9562 0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.4623 -0.7387 1.9894 36 1 3.0705 -2.7912 2.6702 37 1 3.7798 -1.2686 3.2590 38 1 5.1670 -3.8656 3.7628 39 1 5.6673 -2.2057 4.1680 40 1 7.5975 -3.8301 4.0206 41 1 7.7334 -2.4641 2.8821 42 1 8.4320 -5.2140 4.0243 43 1 8.3493 -7.9201 3.2203 44 1 9.8953 -7.2219 2.6811 45 1 10.3817 -6.5064 5.0054 46 1 8.8355 -7.2048 5.5437 47 1 9.5773 -9.4420 4.7746 48 1 11.1237 -8.7442 4.2361 49 1 12.1099 -11.7628 6.1011 50 1 6.9981 -3.0986 0.2958 51 1 6.4811 -4.7935 0.0939 52 1 4.5257 -4.4175 1.5261 53 1 4.5452 -3.1712 0.2547 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 ZINC000171450074.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 06:11:27 Heat of formation + Delta-G solvation = -61.568421 kcal Electronic energy + Delta-G solvation = -29446.921475 eV Core-core repulsion = 25353.582160 eV Total energy + Delta-G solvation = -4093.339315 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -40.66822 -40.00791 -38.14280 -36.36241 -35.41851 -34.59533 -33.29985 -32.19794 -31.54736 -30.83338 -29.08253 -27.75979 -26.70168 -25.39454 -24.03893 -22.97247 -22.02234 -21.28619 -20.85484 -20.57900 -19.29849 -18.08346 -17.54937 -16.71838 -16.46885 -16.07346 -15.95040 -15.66039 -15.28003 -15.03006 -14.96185 -14.67805 -14.51603 -14.27243 -14.17979 -13.85098 -13.62847 -13.52599 -13.09616 -12.89290 -12.69161 -12.54325 -12.30672 -12.23862 -11.95709 -11.80754 -11.68124 -11.64356 -11.51473 -11.39422 -11.32198 -10.91236 -10.68406 -10.55411 -10.16473 -9.96266 -9.84333 -9.56188 -9.41864 -9.09538 -8.98416 -8.73243 -8.37448 -8.36029 -6.00651 -4.03624 2.25512 2.53540 2.74632 3.30454 3.36288 3.37915 3.41301 3.56163 4.01160 4.19795 4.40860 4.45260 4.49362 4.54335 4.69850 4.71058 4.76309 4.77359 4.97137 5.02286 5.02882 5.13831 5.14961 5.24517 5.33706 5.35215 5.38942 5.42014 5.56305 5.59450 5.67481 5.74689 5.75574 5.84509 5.91542 6.04967 6.21387 6.38899 6.43279 6.58429 6.64177 6.65094 6.85414 7.04982 7.05559 7.09929 7.65775 7.78676 7.85119 7.98526 8.12021 8.39513 8.78334 9.03313 9.60476 11.10689 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.029908 B = 0.001540 C = 0.001501 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 935.985889 B =18176.427113 C =18654.356223 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.161 4.161 2 C 0.137 3.863 3 C -0.164 4.164 4 N -0.732 5.732 5 C 0.514 3.486 6 O -0.517 6.517 7 C 0.036 3.964 8 N -0.519 5.519 9 C 0.042 3.958 10 C 0.118 3.882 11 N -0.637 5.637 12 C 0.704 3.296 13 O -0.591 6.591 14 N -0.743 5.743 15 C 0.134 3.866 16 C -0.120 4.120 17 C 0.023 3.977 18 C -0.522 4.522 19 H 0.056 0.944 20 C 0.057 3.943 21 N -0.893 5.893 22 Si 0.892 3.108 23 H -0.273 1.273 24 H -0.284 1.284 25 H -0.284 1.284 26 C 0.140 3.860 27 C 0.038 3.962 28 H 0.060 0.940 29 H 0.072 0.928 30 H 0.061 0.939 31 H 0.088 0.912 32 H 0.064 0.936 33 H 0.055 0.945 34 H 0.062 0.938 35 H 0.398 0.602 36 H 0.064 0.936 37 H 0.105 0.895 38 H 0.042 0.958 39 H 0.088 0.912 40 H 0.084 0.916 41 H 0.077 0.923 42 H 0.392 0.608 43 H 0.061 0.939 44 H 0.063 0.937 45 H 0.054 0.946 46 H 0.053 0.947 47 H 0.019 0.981 48 H 0.020 0.980 49 H 0.260 0.740 50 H 0.073 0.927 51 H 0.096 0.904 52 H 0.034 0.966 53 H 0.102 0.898 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -24.620 26.363 -7.827 36.911 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 -0.219 4.219 2 C 0.033 3.967 3 C -0.222 4.222 4 N -0.386 5.386 5 C 0.300 3.700 6 O -0.391 6.391 7 C -0.096 4.096 8 N -0.245 5.245 9 C -0.087 4.087 10 C -0.006 4.006 11 N -0.376 5.376 12 C 0.406 3.594 13 O -0.469 6.469 14 N -0.399 5.399 15 C 0.011 3.989 16 C -0.158 4.158 17 C -0.014 4.014 18 C -0.560 4.560 19 H 0.074 0.926 20 C -0.145 4.145 21 N -0.532 5.532 22 Si 0.720 3.280 23 H -0.198 1.198 24 H -0.210 1.210 25 H -0.210 1.210 26 C 0.016 3.984 27 C -0.091 4.091 28 H 0.079 0.921 29 H 0.091 0.909 30 H 0.080 0.920 31 H 0.106 0.894 32 H 0.083 0.917 33 H 0.074 0.926 34 H 0.081 0.919 35 H 0.232 0.768 36 H 0.082 0.918 37 H 0.123 0.877 38 H 0.061 0.939 39 H 0.107 0.893 40 H 0.102 0.898 41 H 0.095 0.905 42 H 0.228 0.772 43 H 0.079 0.921 44 H 0.081 0.919 45 H 0.072 0.928 46 H 0.071 0.929 47 H 0.037 0.963 48 H 0.038 0.962 49 H 0.070 0.930 50 H 0.091 0.909 51 H 0.114 0.886 52 H 0.052 0.948 53 H 0.120 0.880 Dipole moment (debyes) X Y Z Total from point charges -23.652 26.017 -9.475 36.416 hybrid contribution -0.454 -0.470 2.176 2.272 sum -24.106 25.548 -7.299 35.876 Atomic orbital electron populations 1.22081 0.94123 1.02663 1.02993 1.20922 0.93885 0.93091 0.88842 1.22183 1.02312 0.95687 1.02027 1.46138 1.17989 1.57530 1.16914 1.20568 0.81021 0.78647 0.89797 1.90701 1.55416 1.58292 1.34694 1.21960 0.91358 0.99706 0.96528 1.61603 1.18006 1.35818 1.09025 1.22529 0.95372 0.99401 0.91391 1.21665 0.95871 0.93555 0.89513 1.47364 1.55556 1.18864 1.15792 1.15918 0.78666 0.80994 0.83852 1.90903 1.65639 1.53597 1.36761 1.45548 1.61273 1.20400 1.12697 1.21511 0.96551 0.81647 0.99196 1.21885 0.99491 1.01906 0.92503 1.19033 0.95577 0.89658 0.97162 1.21243 1.36121 1.01107 0.97519 0.92611 1.25029 0.96196 0.95967 0.97270 1.69976 1.42914 1.05978 1.34356 0.86533 0.78748 0.78004 0.84677 1.19778 1.21036 1.21000 1.21562 0.89938 1.01010 0.85854 1.22792 0.97867 0.91939 0.96453 0.92061 0.90868 0.91965 0.89423 0.91664 0.92550 0.91908 0.76768 0.91840 0.87675 0.93932 0.89345 0.89794 0.90451 0.77240 0.92109 0.91860 0.92767 0.92875 0.96255 0.96194 0.92996 0.90900 0.88616 0.94753 0.87955 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 -0.16 -0.45 9.38 37.16 0.35 -0.10 16 2 C 0.14 0.69 3.18 -67.93 -0.22 0.48 16 3 C -0.16 -0.84 9.48 37.16 0.35 -0.49 16 4 N -0.73 -3.55 5.08 -53.80 -0.27 -3.82 16 5 C 0.51 3.96 7.46 -10.98 -0.08 3.88 16 6 O -0.52 -6.08 14.00 5.56 0.08 -6.00 16 7 C 0.04 0.22 5.45 -4.98 -0.03 0.19 16 8 N -0.52 -4.52 4.37 -235.47 -1.03 -5.55 16 9 C 0.04 0.32 5.62 -3.70 -0.02 0.29 16 10 C 0.12 1.09 6.59 -3.60 -0.02 1.06 16 11 N -0.64 -8.19 3.00 -177.91 -0.53 -8.72 16 12 C 0.70 11.71 8.31 -86.92 -0.72 10.99 16 13 O -0.59 -12.28 15.83 5.29 0.08 -12.20 16 14 N -0.74 -11.49 5.47 -65.23 -0.36 -11.84 16 15 C 0.13 2.47 5.68 -4.04 -0.02 2.45 16 16 C -0.12 -2.38 5.27 -26.73 -0.14 -2.52 16 17 C 0.02 0.60 4.97 -27.89 -0.14 0.46 16 18 C -0.52 -14.62 9.11 -34.44 -0.31 -14.94 16 19 H 0.06 1.50 7.74 -52.48 -0.41 1.10 16 20 C 0.06 1.62 5.46 -17.82 -0.10 1.53 16 21 N -0.89 -26.93 13.29 55.43 0.74 -26.19 16 22 Si 0.89 21.51 29.54 -169.99 -5.02 16.49 16 23 H -0.27 -6.40 7.11 56.52 0.40 -6.00 16 24 H -0.28 -6.79 7.11 56.52 0.40 -6.39 16 25 H -0.28 -6.79 7.11 56.52 0.40 -6.39 16 26 C 0.14 1.71 6.61 -3.36 -0.02 1.69 16 27 C 0.04 0.39 5.27 -3.46 -0.02 0.37 16 28 H 0.06 0.12 8.14 -51.93 -0.42 -0.30 16 29 H 0.07 0.17 8.14 -51.93 -0.42 -0.25 16 30 H 0.06 0.18 8.14 -51.93 -0.42 -0.24 16 31 H 0.09 0.62 7.58 -51.93 -0.39 0.23 16 32 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 33 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 35 H 0.40 0.83 8.60 -40.82 -0.35 0.48 16 36 H 0.06 0.31 8.12 -51.93 -0.42 -0.11 16 37 H 0.11 0.41 7.97 -51.93 -0.41 -0.01 16 38 H 0.04 0.34 8.14 -51.93 -0.42 -0.08 16 39 H 0.09 0.47 7.99 -51.93 -0.41 0.05 16 40 H 0.08 0.67 5.64 -51.93 -0.29 0.38 16 41 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 42 H 0.39 4.90 5.97 -40.82 -0.24 4.66 16 43 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 44 H 0.06 1.25 8.14 -51.93 -0.42 0.83 16 45 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 46 H 0.05 1.00 8.14 -51.93 -0.42 0.58 16 47 H 0.02 0.52 8.14 -51.93 -0.42 0.10 16 48 H 0.02 0.54 8.14 -51.93 -0.42 0.12 16 49 H 0.26 7.38 8.31 -40.82 -0.34 7.05 16 50 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 51 H 0.10 1.31 7.09 -51.93 -0.37 0.94 16 52 H 0.03 0.37 8.14 -51.93 -0.42 -0.06 16 53 H 0.10 1.13 5.77 -51.93 -0.30 0.83 16 LS Contribution 420.78 15.07 6.34 6.34 Total: -1.00 -36.18 420.78 -10.62 -46.80 By element: Atomic # 1 Polarization: 8.85 SS G_CDS: -9.50 Total: -0.66 kcal Atomic # 6 Polarization: 6.48 SS G_CDS: -1.14 Total: 5.34 kcal Atomic # 7 Polarization: -54.67 SS G_CDS: -1.46 Total: -56.13 kcal Atomic # 8 Polarization: -18.35 SS G_CDS: 0.16 Total: -18.19 kcal Atomic # 14 Polarization: 21.51 SS G_CDS: -5.02 Total: 16.49 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -36.18 -10.62 -46.80 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. ZINC000171450074.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 -14.765 kcal (2) G-P(sol) polarization free energy of solvation -36.178 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.944 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.625 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -46.803 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.568 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds