Wall clock time and date at job start Sat Apr 11 2020 06:11:07 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 1.53001 * 1 3 3 N 1.46499 * 109.47355 * 2 1 4 4 C 1.46496 * 120.00109 * 286.44625 * 3 2 1 5 5 C 1.52996 * 109.47093 * 270.00144 * 4 3 2 6 6 C 1.34771 * 119.99859 * 106.44708 * 3 2 1 7 7 O 1.21588 * 120.00295 * 173.14166 * 6 3 2 8 8 N 1.34780 * 120.00524 * 353.13911 * 6 3 2 9 9 C 1.46927 * 120.63569 * 162.15205 * 8 6 3 10 10 C 1.53186 * 108.89273 * 126.46448 * 9 8 6 11 11 C 1.53046 * 109.31304 * 54.56532 * 10 9 8 12 12 C 1.50704 * 109.45679 * 178.62973 * 11 10 9 13 13 O 1.20823 * 120.00273 * 359.97438 * 12 11 10 14 14 O 1.34232 * 119.99445 * 180.02562 * 12 11 10 15 15 C 1.45204 * 116.99780 * 179.97438 * 14 12 11 16 16 C 1.53001 * 109.47117 * 179.97438 * 15 14 12 17 17 C 1.52995 * 109.46871 * 180.02562 * 16 15 14 18 18 C 1.50702 * 109.47119 * 180.02562 * 17 16 15 19 19 H 1.08008 * 119.99692 * 359.97438 * 18 17 16 20 20 C 1.37872 * 120.00285 * 180.02562 * 18 17 16 21 21 N 1.31513 * 120.00219 * 359.97438 * 20 18 17 22 22 Si 1.86804 * 120.00044 * 180.02562 * 20 18 17 23 23 H 1.48498 * 109.47235 * 59.99554 * 22 20 18 24 24 H 1.48501 * 109.47181 * 179.97438 * 22 20 18 25 25 H 1.48501 * 109.46725 * 299.99524 * 22 20 18 26 26 C 1.53037 * 109.53841 * 298.63367 * 11 10 9 27 27 C 1.46966 * 120.64692 * 341.97354 * 8 6 3 28 28 H 1.08995 * 109.47269 * 180.02562 * 1 2 3 29 29 H 1.09004 * 109.46811 * 300.00029 * 1 2 3 30 30 H 1.08996 * 109.47037 * 59.99436 * 1 2 3 31 31 H 1.09004 * 109.46811 * 239.99971 * 2 1 3 32 32 H 1.09002 * 109.46788 * 120.00202 * 2 1 3 33 33 H 1.09001 * 109.47225 * 30.00341 * 4 3 2 34 34 H 1.09004 * 109.47457 * 149.99888 * 4 3 2 35 35 H 1.09001 * 109.47176 * 180.02562 * 5 4 3 36 36 H 1.09004 * 109.47253 * 299.99661 * 5 4 3 37 37 H 1.09000 * 109.47742 * 60.00030 * 5 4 3 38 38 H 1.09001 * 109.58266 * 6.60234 * 9 8 6 39 39 H 1.09000 * 109.58197 * 246.32239 * 9 8 6 40 40 H 1.09000 * 109.49896 * 174.51380 * 10 9 8 41 41 H 1.08998 * 109.50000 * 294.58319 * 10 9 8 42 42 H 1.08996 * 109.46132 * 58.65255 * 11 10 9 43 43 H 1.09006 * 109.46860 * 299.99903 * 15 14 12 44 44 H 1.09000 * 109.47177 * 59.99650 * 15 14 12 45 45 H 1.08997 * 109.46672 * 299.99844 * 16 15 14 46 46 H 1.08993 * 109.46969 * 59.99831 * 16 15 14 47 47 H 1.09005 * 109.46965 * 299.99282 * 17 16 15 48 48 H 1.08993 * 109.47539 * 60.00086 * 17 16 15 49 49 H 0.96999 * 120.00382 * 180.02562 * 21 20 18 50 50 H 1.08998 * 109.49849 * 181.31709 * 26 11 10 51 51 H 1.09005 * 109.50096 * 301.41783 * 26 11 10 52 52 H 1.08998 * 109.46535 * 113.75347 * 27 8 6 53 53 H 1.08997 * 109.71799 * 353.45967 * 27 8 6 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 7 2.0184 1.3812 0.0000 4 6 1.9240 2.1915 -1.2168 5 6 3.1954 2.0124 -2.0488 6 6 2.5546 1.9063 1.1194 7 8 3.0725 3.0059 1.0875 8 7 2.5168 1.2127 2.2744 9 6 3.4088 1.5634 3.3880 10 6 2.5665 1.7784 4.6493 11 6 1.7056 0.5383 4.9005 12 6 0.9005 0.7327 6.1596 13 8 1.0049 1.7574 6.7912 14 8 0.0682 -0.2329 6.5797 15 6 -0.6751 0.0226 7.8007 16 6 -1.5643 -1.1814 8.1179 17 6 -2.3479 -0.9118 9.4040 18 6 -3.2233 -2.0979 9.7169 19 1 -3.2212 -2.9579 9.0635 20 6 -4.0275 -2.0849 10.8367 21 7 -4.0305 -1.0376 11.6321 22 14 -5.1120 -3.5555 11.2249 23 1 -4.2646 -4.7615 11.4057 24 1 -5.8727 -3.2938 12.4731 25 1 -6.0605 -3.7804 10.1045 26 6 0.7582 0.3248 3.7178 27 6 1.5799 0.0934 2.4457 28 1 -0.3633 -1.0276 0.0005 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 1.8933 -0.5139 -0.8900 32 1 1.8933 -0.5139 0.8900 33 1 1.0602 1.8722 -1.7999 34 1 1.8116 3.2415 -0.9463 35 1 3.1253 2.6157 -2.9539 36 1 4.0592 2.3318 -1.4657 37 1 3.3078 0.9625 -2.3193 38 1 3.9490 2.4794 3.1487 39 1 4.1188 0.7537 3.5563 40 1 3.2246 1.9432 5.5025 41 1 1.9227 2.6473 4.5132 42 1 2.3493 -0.3342 5.0122 43 1 0.0218 0.1868 8.6226 44 1 -1.2967 0.9083 7.6690 45 1 -2.2611 -1.3450 7.2959 46 1 -0.9430 -2.0672 8.2495 47 1 -1.6513 -0.7479 10.2263 48 1 -2.9692 -0.0260 9.2721 49 1 -4.5960 -1.0285 12.4201 50 1 0.1292 -0.5448 3.9078 51 1 0.1310 1.2072 3.5901 52 1 2.1391 -0.8378 2.5364 53 1 0.9131 0.0369 1.5853 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 ZINC000058918346.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 06:11:07 Heat of formation + Delta-G solvation = -78.673342 kcal Electronic energy + Delta-G solvation = -30340.608470 eV Core-core repulsion = 26214.234679 eV Total energy + Delta-G solvation = -4126.373791 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.64 seconds Orbital eigenvalues (eV) -41.47630 -40.33425 -37.91233 -36.99689 -36.42093 -34.04975 -33.78545 -32.61763 -31.68381 -30.95085 -30.10153 -27.41474 -26.16840 -24.61144 -23.84615 -23.37648 -23.05041 -21.57122 -20.48537 -20.29050 -19.64728 -17.72094 -17.46496 -17.04449 -16.63105 -16.26506 -16.04950 -15.95245 -15.41406 -15.17749 -14.77409 -14.53696 -14.49286 -14.19820 -13.99265 -13.60606 -13.55936 -13.22454 -13.15869 -12.89432 -12.63940 -12.33562 -12.24279 -12.17664 -12.10333 -11.96477 -11.85097 -11.58379 -11.34699 -11.28503 -11.04383 -10.97058 -10.83532 -10.68102 -10.63843 -10.39670 -10.36135 -10.05025 -9.74499 -9.51375 -9.25638 -9.19442 -8.77479 -8.40417 -6.05098 -4.08518 2.19337 2.31481 2.76148 2.86687 3.29272 3.30637 3.35265 3.37480 4.08801 4.28910 4.40562 4.41778 4.53231 4.56631 4.61360 4.69442 4.80647 4.88364 4.92427 4.98679 5.04131 5.05644 5.16784 5.17563 5.20714 5.28083 5.30642 5.40633 5.44395 5.48273 5.53489 5.55834 5.61189 5.64067 5.65838 5.75188 5.84412 5.98908 5.99602 6.06522 6.27005 6.48909 6.51181 6.56998 6.82987 6.95964 7.50013 7.57836 7.69006 7.91345 7.93264 8.23146 8.33723 8.97430 9.55770 11.06221 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020794 B = 0.001839 C = 0.001729 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1346.190137 B =15221.144660 C =16190.276438 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.185 4.185 2 C 0.063 3.937 3 N -0.627 5.627 4 C 0.129 3.871 5 C -0.167 4.167 6 C 0.712 3.288 7 O -0.585 6.585 8 N -0.632 5.632 9 C 0.132 3.868 10 C -0.119 4.119 11 C -0.079 4.079 12 C 0.459 3.541 13 O -0.510 6.510 14 O -0.357 6.357 15 C 0.067 3.933 16 C -0.108 4.108 17 C 0.024 3.976 18 C -0.523 4.523 19 H 0.057 0.943 20 C 0.057 3.943 21 N -0.894 5.894 22 Si 0.896 3.104 23 H -0.276 1.276 24 H -0.287 1.287 25 H -0.276 1.276 26 C -0.129 4.129 27 C 0.056 3.944 28 H 0.075 0.925 29 H 0.069 0.931 30 H 0.066 0.934 31 H 0.072 0.928 32 H 0.118 0.882 33 H 0.075 0.925 34 H 0.082 0.918 35 H 0.064 0.936 36 H 0.060 0.940 37 H 0.053 0.947 38 H 0.097 0.903 39 H 0.067 0.933 40 H 0.086 0.914 41 H 0.078 0.922 42 H 0.109 0.891 43 H 0.066 0.934 44 H 0.065 0.935 45 H 0.059 0.941 46 H 0.060 0.940 47 H 0.019 0.981 48 H 0.019 0.981 49 H 0.262 0.738 50 H 0.094 0.906 51 H 0.073 0.927 52 H 0.074 0.926 53 H 0.140 0.860 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 14.728 1.550 -28.112 31.774 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 -0.243 4.243 2 C -0.059 4.059 3 N -0.364 5.364 4 C 0.006 3.994 5 C -0.225 4.225 6 C 0.415 3.585 7 O -0.462 6.462 8 N -0.370 5.370 9 C 0.010 3.990 10 C -0.157 4.157 11 C -0.098 4.098 12 C 0.301 3.699 13 O -0.398 6.398 14 O -0.274 6.274 15 C -0.005 4.005 16 C -0.146 4.146 17 C -0.014 4.014 18 C -0.561 4.561 19 H 0.075 0.925 20 C -0.145 4.145 21 N -0.533 5.533 22 Si 0.723 3.277 23 H -0.202 1.202 24 H -0.213 1.213 25 H -0.202 1.202 26 C -0.167 4.167 27 C -0.065 4.065 28 H 0.094 0.906 29 H 0.088 0.912 30 H 0.085 0.915 31 H 0.091 0.909 32 H 0.135 0.865 33 H 0.093 0.907 34 H 0.100 0.900 35 H 0.083 0.917 36 H 0.080 0.920 37 H 0.072 0.928 38 H 0.115 0.885 39 H 0.086 0.914 40 H 0.104 0.896 41 H 0.096 0.904 42 H 0.127 0.873 43 H 0.084 0.916 44 H 0.084 0.916 45 H 0.078 0.922 46 H 0.078 0.922 47 H 0.038 0.962 48 H 0.037 0.963 49 H 0.072 0.928 50 H 0.112 0.888 51 H 0.091 0.909 52 H 0.092 0.908 53 H 0.157 0.843 Dipole moment (debyes) X Y Z Total from point charges 14.941 2.541 -27.750 31.619 hybrid contribution -0.768 -0.771 0.594 1.240 sum 14.172 1.769 -27.156 30.683 Atomic orbital electron populations 1.22374 0.95610 1.03319 1.03015 1.22649 0.94527 0.83578 1.05193 1.47203 1.65119 1.13661 1.10401 1.21267 0.97779 0.96220 0.84149 1.22125 0.98854 1.01641 0.99905 1.15879 0.79042 0.83479 0.80118 1.90908 1.50812 1.19470 1.84994 1.47203 1.41153 1.35325 1.13280 1.21498 0.91240 1.02116 0.84194 1.21837 0.98994 0.96939 0.97954 1.21041 0.96745 1.01487 0.90536 1.23569 0.78374 0.81564 0.86359 1.90663 1.63991 1.28580 1.56558 1.86484 1.52445 1.44764 1.43683 1.23503 0.93760 1.01009 0.82266 1.21752 0.96981 0.94815 1.01005 1.19051 0.94548 0.97574 0.90185 1.21128 1.23869 1.02157 1.08948 0.92485 1.25031 0.97065 0.96168 0.96191 1.69954 1.39712 1.29081 1.14541 0.86602 0.80544 0.82864 0.77654 1.20188 1.21253 1.20190 1.22000 0.97719 1.04066 0.92931 1.23359 0.93359 0.89113 1.00719 0.90565 0.91201 0.91523 0.90933 0.86454 0.90702 0.89993 0.91714 0.92040 0.92804 0.88471 0.91447 0.89570 0.90360 0.87335 0.91569 0.91610 0.92189 0.92164 0.96246 0.96252 0.92822 0.88800 0.90851 0.90838 0.84338 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 -0.19 -0.72 9.13 37.16 0.34 -0.38 16 2 C 0.06 0.29 5.54 -4.04 -0.02 0.27 16 3 N -0.63 -4.82 2.52 -196.67 -0.50 -5.32 16 4 C 0.13 0.88 6.01 -4.05 -0.02 0.85 16 5 C -0.17 -1.04 10.24 37.16 0.38 -0.66 16 6 C 0.71 7.66 8.01 -86.92 -0.70 6.96 16 7 O -0.58 -8.51 15.54 5.29 0.08 -8.43 16 8 N -0.63 -5.56 2.95 -196.19 -0.58 -6.14 16 9 C 0.13 1.15 6.43 -3.71 -0.02 1.12 16 10 C -0.12 -1.17 4.66 -26.61 -0.12 -1.30 16 11 C -0.08 -0.78 2.59 -91.73 -0.24 -1.02 16 12 C 0.46 6.67 7.25 36.01 0.26 6.94 16 13 O -0.51 -9.03 15.73 -18.75 -0.29 -9.32 16 14 O -0.36 -5.69 10.10 -39.26 -0.40 -6.09 16 15 C 0.07 1.23 5.47 37.16 0.20 1.44 16 16 C -0.11 -2.20 5.53 -26.73 -0.15 -2.35 16 17 C 0.02 0.60 4.97 -27.88 -0.14 0.46 16 18 C -0.52 -14.60 9.11 -34.44 -0.31 -14.91 16 19 H 0.06 1.53 7.74 -52.48 -0.41 1.12 16 20 C 0.06 1.62 5.46 -17.82 -0.10 1.52 16 21 N -0.89 -26.68 13.29 55.43 0.74 -25.95 16 22 Si 0.90 21.37 29.54 -169.99 -5.02 16.35 16 23 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16 24 H -0.29 -6.79 7.11 56.52 0.40 -6.38 16 25 H -0.28 -6.45 7.11 56.52 0.40 -6.05 16 26 C -0.13 -1.06 5.30 -26.61 -0.14 -1.20 16 27 C 0.06 0.35 4.32 -3.69 -0.02 0.34 16 28 H 0.08 0.20 8.14 -51.93 -0.42 -0.23 16 29 H 0.07 0.35 6.87 -51.93 -0.36 0.00 16 30 H 0.07 0.26 7.33 -51.93 -0.38 -0.12 16 31 H 0.07 0.26 8.14 -51.93 -0.42 -0.16 16 32 H 0.12 0.50 3.72 -73.94 -0.28 0.22 16 33 H 0.07 0.35 7.22 -51.93 -0.38 -0.03 16 34 H 0.08 0.70 7.53 -51.93 -0.39 0.31 16 35 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 36 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 37 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 38 H 0.10 0.98 7.08 -51.93 -0.37 0.61 16 39 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 40 H 0.09 0.85 8.07 -51.93 -0.42 0.43 16 41 H 0.08 0.94 8.13 -51.93 -0.42 0.51 16 42 H 0.11 0.86 8.14 -51.93 -0.42 0.44 16 43 H 0.07 1.23 8.13 -51.93 -0.42 0.80 16 44 H 0.07 1.22 8.13 -51.93 -0.42 0.80 16 45 H 0.06 1.19 8.14 -51.93 -0.42 0.76 16 46 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 47 H 0.02 0.52 8.14 -51.93 -0.42 0.10 16 48 H 0.02 0.52 8.14 -51.93 -0.42 0.09 16 49 H 0.26 7.39 8.31 -40.82 -0.34 7.05 16 50 H 0.09 0.72 8.08 -51.93 -0.42 0.30 16 51 H 0.07 0.71 8.14 -51.93 -0.42 0.28 16 52 H 0.07 0.34 7.67 -51.93 -0.40 -0.06 16 53 H 0.14 0.72 1.34 -73.28 -0.10 0.62 16 LS Contribution 414.06 15.07 6.24 6.24 Total: -1.00 -34.66 414.06 -9.89 -44.55 By element: Atomic # 1 Polarization: 5.39 SS G_CDS: -9.36 Total: -3.98 kcal Atomic # 6 Polarization: -1.12 SS G_CDS: -0.80 Total: -1.92 kcal Atomic # 7 Polarization: -37.07 SS G_CDS: -0.34 Total: -37.41 kcal Atomic # 8 Polarization: -23.23 SS G_CDS: -0.61 Total: -23.84 kcal Atomic # 14 Polarization: 21.37 SS G_CDS: -5.02 Total: 16.35 kcal Total LS contribution 6.24 Total: 6.24 kcal Total: -34.66 -9.89 -44.55 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. ZINC000058918346.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 -34.125 kcal (2) G-P(sol) polarization free energy of solvation -34.659 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -68.784 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.889 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.549 kcal (6) G-S(sol) free energy of system = (1) + (5) -78.673 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds