Wall clock time and date at job start Tue Mar 31 2020 20:08:46 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 1.52998 * 1 3 3 H 1.09003 * 109.78543 * 2 1 4 4 C 1.54242 * 109.63234 * 239.51617 * 2 1 3 5 5 C 1.45537 * 112.41305 * 160.29808 * 4 2 1 6 6 C 1.54239 * 112.40644 * 61.93298 * 5 4 2 7 7 C 1.50474 * 108.52828 * 280.02376 * 6 5 4 8 8 H 1.09006 * 108.79658 * 333.42224 * 7 6 5 9 9 N 1.46497 * 108.87789 * 214.92551 * 7 6 5 10 10 C 1.34772 * 120.00347 * 82.01836 * 9 7 6 11 11 O 1.21352 * 120.00075 * 0.02562 * 10 9 7 12 12 C 1.49452 * 120.00153 * 179.72204 * 10 9 7 13 13 O 1.21350 * 119.99819 * 7.02995 * 12 10 9 14 14 N 1.34781 * 119.99941 * 187.02312 * 12 10 9 15 15 C 1.46926 * 120.63151 * 8.42862 * 14 12 10 16 16 C 1.53620 * 108.54424 * 126.37049 * 15 14 12 17 17 C 1.53039 * 109.24260 * 54.85462 * 16 15 14 18 18 C 1.50699 * 109.45937 * 178.49562 * 17 16 15 19 19 H 1.07999 * 120.00444 * 120.06892 * 18 17 16 20 20 C 1.37875 * 119.99628 * 300.06470 * 18 17 16 21 21 N 1.31521 * 119.99970 * 180.02562 * 20 18 17 22 22 Si 1.86796 * 120.00347 * 0.02562 * 20 18 17 23 23 H 1.48494 * 109.47220 * 89.99653 * 22 20 18 24 24 H 1.48498 * 109.47247 * 209.99797 * 22 20 18 25 25 H 1.48503 * 109.46875 * 329.99996 * 22 20 18 26 26 C 1.53046 * 109.53565 * 298.51345 * 17 16 15 27 27 C 1.46925 * 120.62678 * 188.70864 * 14 12 10 28 28 C 1.54069 * 112.49614 * 94.14386 * 7 6 5 29 29 C 1.50473 * 109.63023 * 120.48843 * 2 1 3 30 30 H 1.08993 * 109.47449 * 299.50905 * 1 2 3 31 31 H 1.08999 * 109.47169 * 59.51520 * 1 2 3 32 32 H 1.09003 * 109.46725 * 179.50800 * 1 2 3 33 33 H 1.09000 * 108.89472 * 281.05368 * 4 2 1 34 34 H 1.08999 * 108.89656 * 39.63500 * 4 2 1 35 35 H 1.09000 * 108.89735 * 182.68939 * 5 4 2 36 36 H 1.09006 * 108.89468 * 301.18508 * 5 4 2 37 37 H 1.08995 * 109.63143 * 160.30951 * 6 5 4 38 38 H 1.09005 * 109.62594 * 39.73012 * 6 5 4 39 39 H 0.97002 * 119.99650 * 262.02187 * 9 7 6 40 40 H 1.08996 * 109.58306 * 246.20494 * 15 14 12 41 41 H 1.09005 * 109.58444 * 6.62472 * 15 14 12 42 42 H 1.09002 * 109.62808 * 294.86385 * 16 15 14 43 43 H 1.08994 * 109.45915 * 174.74053 * 16 15 14 44 44 H 1.09000 * 109.46203 * 58.53170 * 17 16 15 45 45 H 0.96995 * 120.00289 * 180.02562 * 21 20 18 46 46 H 1.08997 * 109.49970 * 301.41244 * 26 17 16 47 47 H 1.09005 * 109.51914 * 181.33055 * 26 17 16 48 48 H 1.08999 * 109.58807 * 353.37394 * 27 14 12 49 49 H 1.09000 * 109.58488 * 113.79729 * 27 14 12 50 50 H 1.08996 * 108.81489 * 79.14803 * 28 7 6 51 51 H 1.09008 * 108.81080 * 197.53156 * 28 7 6 52 52 H 1.09006 * 108.87770 * 93.08581 * 29 2 1 53 53 H 1.08999 * 108.79994 * 334.58767 * 29 2 1 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 1.8989 1.0257 0.0000 4 6 2.0482 -0.7370 -1.2519 5 6 3.4277 -0.3953 -1.5657 6 6 4.4029 -0.7942 -0.4393 7 6 4.3396 0.2518 0.6407 8 1 4.0339 1.1985 0.1952 9 7 5.6737 0.4121 1.2241 10 6 6.5874 1.1917 0.6128 11 8 6.3048 1.7614 -0.4208 12 6 7.9464 1.3602 1.2113 13 8 8.2713 0.6982 2.1750 14 7 8.8113 2.2473 0.6806 15 6 8.3759 3.1841 -0.3642 16 6 8.7310 4.6111 0.0802 17 6 10.2251 4.6814 0.4040 18 6 10.5861 6.0885 0.8052 19 1 11.0020 6.2814 1.7830 20 6 10.3856 7.1295 -0.0763 21 7 10.7012 8.3574 0.2736 22 14 9.6658 6.7960 -1.7674 23 1 8.1854 6.8930 -1.7032 24 1 10.1860 7.7971 -2.7330 25 1 10.0537 5.4327 -2.2104 26 6 10.5448 3.7251 1.5553 27 6 10.2089 2.2918 1.1315 28 6 3.3468 -0.1160 1.7600 29 6 2.0355 -0.7191 1.2213 30 1 -0.3634 0.5061 0.8943 31 1 -0.3633 0.5213 -0.8856 32 1 -0.3633 -1.0277 -0.0088 33 1 1.9806 -1.8116 -1.0822 34 1 1.4188 -0.4741 -2.1021 35 1 3.7186 -0.9081 -2.4825 36 1 3.4968 0.6804 -1.7279 37 1 5.4167 -0.8504 -0.8355 38 1 4.1128 -1.7616 -0.0293 39 1 5.8995 -0.0430 2.0505 40 1 8.8862 2.9519 -1.2989 41 1 7.2980 3.1008 -0.5036 42 1 8.1538 4.8727 0.9671 43 1 8.4996 5.3099 -0.7236 44 1 10.8012 4.3957 -0.4760 45 1 10.5598 9.0899 -0.3464 46 1 9.9506 3.9950 2.4282 47 1 11.6045 3.7928 1.8014 48 1 10.3409 1.6196 1.9794 49 1 10.8657 1.9883 0.3163 50 1 3.8190 -0.8388 2.4252 51 1 3.1105 0.7830 2.3296 52 1 2.2063 -1.7657 0.9689 53 1 1.2757 -0.6642 2.0009 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 ZINC001326789748.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 20:08:46 Heat of formation + Delta-G solvation = -76.021906 kcal Electronic energy + Delta-G solvation = -30532.075660 eV Core-core repulsion = 26596.272896 eV Total energy + Delta-G solvation = -3935.802764 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -40.99257 -39.71670 -38.33293 -37.23653 -35.42869 -33.51200 -33.12543 -31.67540 -31.48582 -30.56118 -27.89588 -26.86100 -25.43653 -24.21275 -23.30628 -22.65878 -21.99520 -20.95653 -20.31411 -19.77774 -18.92737 -17.38679 -16.99190 -16.71999 -16.21677 -15.89237 -15.52696 -15.28326 -14.84984 -14.63954 -14.54398 -14.07048 -13.98214 -13.83843 -13.56904 -13.40952 -13.24563 -13.09788 -12.81559 -12.67851 -12.55420 -12.39639 -12.04514 -11.99096 -11.82686 -11.49977 -11.16236 -11.15622 -10.95587 -10.95373 -10.78486 -10.69932 -10.69308 -10.51787 -10.18705 -10.14762 -9.76072 -9.41964 -9.40143 -9.17574 -8.81844 -8.52184 -8.27229 -6.07984 -4.07282 1.50455 2.40117 3.26533 3.28713 3.37424 3.39041 3.60087 4.14122 4.26337 4.38791 4.40372 4.53048 4.61875 4.75784 4.77668 4.95077 5.03791 5.06974 5.21748 5.22767 5.32168 5.36669 5.44421 5.47624 5.59254 5.61941 5.65429 5.69354 5.71786 5.74383 5.79927 5.84838 5.90349 5.90762 5.92099 5.97929 6.01492 6.08870 6.14374 6.16297 6.30669 6.48123 6.56913 6.66259 6.73612 6.84353 7.05759 7.18602 7.47674 7.54272 7.74546 7.81143 8.10275 8.51049 8.95858 9.54281 11.05258 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016194 B = 0.002738 C = 0.002508 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1728.621301 B =10223.843208 C =11160.680849 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.096 4.096 3 H 0.074 0.926 4 C -0.113 4.113 5 C -0.117 4.117 6 C -0.126 4.126 7 C 0.144 3.856 8 H 0.090 0.910 9 N -0.702 5.702 10 C 0.510 3.490 11 O -0.507 6.507 12 C 0.502 3.498 13 O -0.538 6.538 14 N -0.565 5.565 15 C 0.064 3.936 16 C -0.134 4.134 17 C 0.012 3.988 18 C -0.513 4.513 19 H 0.073 0.927 20 C 0.068 3.932 21 N -0.901 5.901 22 Si 0.885 3.115 23 H -0.277 1.277 24 H -0.297 1.297 25 H -0.264 1.264 26 C -0.112 4.112 27 C 0.104 3.896 28 C -0.124 4.124 29 C -0.108 4.108 30 H 0.054 0.946 31 H 0.054 0.946 32 H 0.053 0.947 33 H 0.059 0.941 34 H 0.060 0.940 35 H 0.062 0.938 36 H 0.066 0.934 37 H 0.069 0.931 38 H 0.069 0.931 39 H 0.410 0.590 40 H 0.063 0.937 41 H 0.129 0.871 42 H 0.063 0.937 43 H 0.059 0.941 44 H 0.028 0.972 45 H 0.263 0.737 46 H 0.059 0.941 47 H 0.071 0.929 48 H 0.086 0.914 49 H 0.068 0.932 50 H 0.068 0.932 51 H 0.069 0.931 52 H 0.064 0.936 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.453 -21.251 -0.730 28.154 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 -0.203 4.203 2 C -0.115 4.115 3 H 0.093 0.907 4 C -0.150 4.150 5 C -0.155 4.155 6 C -0.164 4.164 7 C 0.040 3.960 8 H 0.108 0.892 9 N -0.355 5.355 10 C 0.292 3.708 11 O -0.383 6.383 12 C 0.284 3.716 13 O -0.417 6.417 14 N -0.296 5.296 15 C -0.057 4.057 16 C -0.172 4.172 17 C -0.007 4.007 18 C -0.551 4.551 19 H 0.091 0.909 20 C -0.133 4.133 21 N -0.539 5.539 22 Si 0.716 3.284 23 H -0.204 1.204 24 H -0.225 1.225 25 H -0.189 1.189 26 C -0.150 4.150 27 C -0.017 4.017 28 C -0.162 4.162 29 C -0.146 4.146 30 H 0.073 0.927 31 H 0.073 0.927 32 H 0.072 0.928 33 H 0.078 0.922 34 H 0.079 0.921 35 H 0.080 0.920 36 H 0.085 0.915 37 H 0.088 0.912 38 H 0.087 0.913 39 H 0.246 0.754 40 H 0.082 0.918 41 H 0.146 0.854 42 H 0.081 0.919 43 H 0.077 0.923 44 H 0.046 0.954 45 H 0.073 0.927 46 H 0.078 0.922 47 H 0.089 0.911 48 H 0.104 0.896 49 H 0.087 0.913 50 H 0.087 0.913 51 H 0.088 0.912 52 H 0.083 0.917 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges -18.456 -20.981 -1.025 27.962 hybrid contribution -0.177 -0.057 -0.595 0.624 sum -18.633 -21.037 -1.621 28.149 Atomic orbital electron populations 1.21876 0.95025 1.01653 1.01737 1.20980 0.95510 1.00217 0.94750 0.90712 1.20574 0.96503 1.00224 0.97706 1.20408 0.94616 1.02359 0.98114 1.21775 1.00329 0.98672 0.95671 1.21015 0.80756 1.00466 0.93726 0.89172 1.46070 1.12713 1.48549 1.28198 1.20342 0.86097 0.79445 0.84925 1.90530 1.79371 1.45099 1.23287 1.19937 0.85840 0.81698 0.84132 1.90708 1.77887 1.47271 1.25807 1.48078 1.10556 1.32703 1.38310 1.23088 1.04470 0.89267 0.88828 1.22449 1.00751 0.93053 1.00923 1.19175 0.91176 0.95948 0.94427 1.21034 1.42156 0.89228 1.02665 0.90850 1.25040 0.95054 0.95002 0.98215 1.69901 1.48434 0.99294 1.36316 0.86875 0.79089 0.77996 0.84478 1.20443 1.22503 1.18926 1.21821 1.01330 0.91911 0.99932 1.21958 0.79758 0.99915 1.00115 1.22162 0.95131 1.01748 0.97178 1.21361 0.95761 0.99903 0.97597 0.92664 0.92676 0.92763 0.92209 0.92136 0.91977 0.91485 0.91199 0.91278 0.75413 0.91829 0.85369 0.91871 0.92318 0.95355 0.92674 0.92174 0.91086 0.89596 0.91340 0.91294 0.91245 0.91740 0.91571 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 -0.15 -0.82 8.87 37.16 0.33 -0.49 16 2 C -0.10 -0.61 2.40 -91.23 -0.22 -0.83 16 3 H 0.07 0.56 6.97 -51.93 -0.36 0.20 16 4 C -0.11 -0.74 4.68 -29.60 -0.14 -0.87 16 5 C -0.12 -0.94 5.26 -29.60 -0.16 -1.09 16 6 C -0.13 -1.08 5.25 -27.34 -0.14 -1.23 16 7 C 0.14 1.31 1.95 -68.64 -0.13 1.17 16 8 H 0.09 0.97 6.07 -51.93 -0.32 0.65 16 9 N -0.70 -7.69 4.96 -54.92 -0.27 -7.97 16 10 C 0.51 7.36 7.41 -11.59 -0.09 7.27 16 11 O -0.51 -8.12 12.84 5.49 0.07 -8.05 16 12 C 0.50 8.26 7.73 -11.58 -0.09 8.17 16 13 O -0.54 -9.38 15.93 5.50 0.09 -9.30 16 14 N -0.56 -9.86 2.97 -173.02 -0.51 -10.38 16 15 C 0.06 1.18 6.01 -3.49 -0.02 1.16 16 16 C -0.13 -2.87 4.86 -26.39 -0.13 -3.00 16 17 C 0.01 0.27 1.65 -91.73 -0.15 0.12 16 18 C -0.51 -14.22 9.14 -34.44 -0.31 -14.53 16 19 H 0.07 2.20 7.99 -52.49 -0.42 1.79 16 20 C 0.07 1.96 5.45 -17.82 -0.10 1.86 16 21 N -0.90 -27.53 13.96 55.43 0.77 -26.76 16 22 Si 0.89 21.78 24.38 -169.99 -4.14 17.63 16 23 H -0.28 -6.66 6.86 56.52 0.39 -6.27 16 24 H -0.30 -7.37 7.11 56.52 0.40 -6.97 16 25 H -0.26 -6.17 6.53 56.52 0.37 -5.80 16 26 C -0.11 -2.19 5.30 -26.61 -0.14 -2.33 16 27 C 0.10 1.76 6.44 -3.71 -0.02 1.74 16 28 C -0.12 -0.85 5.39 -25.62 -0.14 -0.98 16 29 C -0.11 -0.63 4.89 -27.44 -0.13 -0.77 16 30 H 0.05 0.30 8.09 -51.93 -0.42 -0.12 16 31 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 32 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 33 H 0.06 0.36 7.47 -51.93 -0.39 -0.03 16 34 H 0.06 0.38 7.97 -51.93 -0.41 -0.03 16 35 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 36 H 0.07 0.63 7.47 -51.93 -0.39 0.24 16 37 H 0.07 0.73 7.69 -51.93 -0.40 0.33 16 38 H 0.07 0.51 6.98 -51.93 -0.36 0.14 16 39 H 0.41 4.01 7.92 -40.82 -0.32 3.68 16 40 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 41 H 0.13 2.31 4.30 -54.85 -0.24 2.07 16 42 H 0.06 1.38 8.14 -51.93 -0.42 0.96 16 43 H 0.06 1.33 3.24 -51.93 -0.17 1.17 16 44 H 0.03 0.66 7.20 -51.93 -0.37 0.29 16 45 H 0.26 7.57 8.31 -40.82 -0.34 7.23 16 46 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 47 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 48 H 0.09 1.39 7.01 -51.93 -0.36 1.03 16 49 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 50 H 0.07 0.42 7.91 -51.93 -0.41 0.01 16 51 H 0.07 0.49 8.14 -51.92 -0.42 0.07 16 52 H 0.06 0.36 6.63 -51.93 -0.34 0.02 16 53 H 0.07 0.35 7.67 -51.93 -0.40 -0.05 16 LS Contribution 388.39 15.07 5.85 5.85 Total: -1.00 -31.11 388.39 -9.01 -40.11 By element: Atomic # 1 Polarization: 12.56 SS G_CDS: -9.07 Total: 3.48 kcal Atomic # 6 Polarization: -2.84 SS G_CDS: -1.79 Total: -4.63 kcal Atomic # 7 Polarization: -45.09 SS G_CDS: -0.01 Total: -45.10 kcal Atomic # 8 Polarization: -17.51 SS G_CDS: 0.16 Total: -17.35 kcal Atomic # 14 Polarization: 21.78 SS G_CDS: -4.14 Total: 17.63 kcal Total LS contribution 5.85 Total: 5.85 kcal Total: -31.11 -9.01 -40.11 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. ZINC001326789748.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 -35.911 kcal (2) G-P(sol) polarization free energy of solvation -31.105 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -67.016 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.006 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.111 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.022 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds