Wall clock time and date at job start Sat Apr 11 2020 06:11:14 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 1.53005 * 1 3 3 C 1.52998 * 109.46839 * 2 1 4 4 N 1.46908 * 109.46926 * 179.97438 * 3 2 1 5 5 C 1.46838 * 110.99821 * 293.95289 * 4 3 2 6 6 C 1.53040 * 109.52475 * 174.15773 * 5 4 3 7 7 C 1.53124 * 109.27604 * 59.17923 * 6 5 4 8 8 C 1.53121 * 109.15772 * 302.34992 * 7 6 5 9 9 H 1.09003 * 109.50071 * 297.66983 * 8 7 6 10 10 C 1.50706 * 109.49941 * 177.59645 * 8 7 6 11 11 O 1.21281 * 119.99699 * 239.99526 * 10 8 7 12 12 N 1.34773 * 120.00080 * 60.00017 * 10 8 7 13 13 C 1.46506 * 119.99969 * 180.02562 * 12 10 8 14 14 C 1.52998 * 109.47237 * 179.72043 * 13 12 10 15 15 N 1.46896 * 109.47026 * 179.97438 * 14 13 12 16 16 C 1.46901 * 110.99827 * 180.02562 * 15 14 13 17 17 C 1.50705 * 109.46923 * 180.02562 * 16 15 14 18 18 O 1.21290 * 120.00311 * 0.02562 * 17 16 15 19 19 N 1.34778 * 120.00015 * 179.97438 * 17 16 15 20 20 C 1.37094 * 120.00064 * 180.02562 * 19 17 16 21 21 H 1.07993 * 120.00129 * 359.97438 * 20 19 17 22 22 C 1.38952 * 119.99853 * 180.02562 * 20 19 17 23 23 N 1.31413 * 120.00089 * 179.97438 * 22 20 19 24 24 Si 1.86804 * 120.00030 * 0.02562 * 22 20 19 25 25 H 1.48492 * 109.47161 * 90.00110 * 24 22 20 26 26 H 1.48507 * 109.46832 * 210.00047 * 24 22 20 27 27 H 1.48500 * 109.47079 * 329.99829 * 24 22 20 28 28 C 1.46840 * 111.00025 * 169.74141 * 4 3 2 29 29 H 1.09001 * 109.47076 * 60.00007 * 1 2 3 30 30 H 1.08997 * 109.47136 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.46937 * 300.00430 * 1 2 3 32 32 H 1.08996 * 109.47166 * 240.00060 * 2 1 3 33 33 H 1.08997 * 109.46638 * 119.99808 * 2 1 3 34 34 H 1.08998 * 109.47707 * 60.00041 * 3 2 1 35 35 H 1.08997 * 109.47349 * 299.99372 * 3 2 1 36 36 H 1.09007 * 109.46468 * 54.14625 * 5 4 3 37 37 H 1.09000 * 109.46794 * 294.17161 * 5 4 3 38 38 H 1.09001 * 109.50607 * 299.24102 * 6 5 4 39 39 H 1.09002 * 109.50724 * 179.12088 * 6 5 4 40 40 H 1.08996 * 109.52487 * 182.44461 * 7 6 5 41 41 H 1.08997 * 109.57272 * 62.28378 * 7 6 5 42 42 H 0.97005 * 120.00161 * 359.72088 * 12 10 8 43 43 H 1.09001 * 109.46512 * 299.72412 * 13 12 10 44 44 H 1.08998 * 109.47174 * 59.71534 * 13 12 10 45 45 H 1.09000 * 109.46986 * 299.99958 * 14 13 12 46 46 H 1.09002 * 109.46857 * 60.00093 * 14 13 12 47 47 H 1.00899 * 111.00236 * 303.95766 * 15 14 13 48 48 H 1.08999 * 109.47169 * 299.99891 * 16 15 14 49 49 H 1.08999 * 109.47003 * 60.00461 * 16 15 14 50 50 H 0.97001 * 119.99747 * 0.02562 * 19 17 16 51 51 H 0.96992 * 120.00241 * 180.02562 * 23 22 20 52 52 H 1.09001 * 109.46503 * 65.82576 * 28 4 3 53 53 H 1.09005 * 109.46736 * 305.85428 * 28 4 3 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 2.0400 1.4425 0.0000 4 7 3.5090 1.4425 0.0006 5 6 4.0347 0.8862 1.2537 6 6 5.5576 0.7669 1.1613 7 6 6.1585 2.1517 0.9041 8 6 5.5582 2.7292 -0.3807 9 1 5.8225 2.0915 -1.2244 10 6 6.1001 4.1167 -0.6097 11 8 5.3426 5.0624 -0.6620 12 7 7.4262 4.3066 -0.7564 13 6 7.9530 5.6555 -0.9784 14 6 9.4766 5.5938 -1.1038 15 7 10.0046 6.9463 -1.3270 16 6 11.4680 6.9259 -1.4532 17 6 11.9723 8.3278 -1.6802 18 8 11.1896 9.2530 -1.7313 19 7 13.2930 8.5537 -1.8253 20 6 13.7518 9.8291 -2.0313 21 1 13.0548 10.6527 -2.0776 22 6 15.1134 10.0619 -2.1814 23 7 15.5531 11.2843 -2.3793 24 14 16.3188 8.6369 -2.1034 25 1 16.5162 8.0804 -3.4659 26 1 17.6194 9.1174 -1.5716 27 1 15.7789 7.5802 -1.2106 28 6 4.0354 2.7915 -0.2435 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0276 -0.0005 31 1 -0.3633 0.5139 0.8899 32 1 1.8934 -0.5138 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 1.6767 1.9564 0.8899 35 1 1.6767 1.9563 -0.8900 36 1 3.6028 -0.1004 1.4226 37 1 3.7717 1.5442 2.0819 38 1 5.8213 0.0980 0.3420 39 1 5.9490 0.3685 2.0973 40 1 7.2394 2.0651 0.7944 41 1 5.9290 2.8105 1.7416 42 1 8.0325 3.5506 -0.7105 43 1 7.5291 6.0646 -1.8955 44 1 7.6832 6.2939 -0.1372 45 1 9.9003 5.1847 -0.1867 46 1 9.7463 4.9554 -1.9451 47 1 9.5781 7.3720 -2.1363 48 1 11.9060 6.5263 -0.5386 49 1 11.7512 6.2965 -2.2969 50 1 13.9190 7.8139 -1.7841 51 1 16.5036 11.4468 -2.4845 52 1 3.7723 3.4406 0.5916 53 1 3.6039 3.1890 -1.1622 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 ZINC001132738032.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 06:11:14 Heat of formation + Delta-G solvation = -80.366776 kcal Electronic energy + Delta-G solvation = -28664.947942 eV Core-core repulsion = 24570.793470 eV Total energy + Delta-G solvation = -4094.154472 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.65 seconds Orbital eigenvalues (eV) -40.60567 -38.90053 -38.49971 -36.41715 -35.43587 -34.44918 -33.82390 -32.43406 -31.69472 -31.57402 -29.43140 -26.81745 -26.29278 -24.67444 -23.69882 -23.31230 -22.21744 -21.71023 -20.69984 -19.99056 -19.41934 -18.40570 -17.55654 -16.53864 -16.31082 -16.04830 -15.90752 -15.83266 -15.36913 -14.99642 -14.96316 -14.71030 -14.42613 -14.22252 -14.19180 -13.81870 -13.59748 -13.39730 -13.20369 -13.05136 -13.03026 -12.56703 -12.37050 -12.28002 -12.13910 -11.95174 -11.89281 -11.63105 -11.60200 -11.52358 -11.49885 -11.17312 -11.13423 -10.92698 -10.82365 -10.61482 -9.99693 -9.96444 -9.59256 -9.30217 -8.77484 -8.64800 -8.26334 -8.18941 -6.32439 -3.84105 2.39097 2.75020 3.00773 3.04798 3.13519 3.45931 3.71321 4.07886 4.11379 4.19747 4.26948 4.38141 4.48342 4.58452 4.65946 4.73278 4.78455 4.83096 4.85703 4.93979 5.01871 5.04042 5.08339 5.14060 5.20087 5.25423 5.27399 5.29969 5.31195 5.45020 5.47415 5.53296 5.54163 5.57899 5.66309 5.70943 5.74160 5.76578 5.79294 5.83109 5.85577 5.90931 6.16183 6.61772 6.63597 6.95398 7.21642 7.45826 7.56291 7.96925 8.12856 8.57912 8.93421 9.40557 9.80387 10.80694 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.036727 B = 0.001363 C = 0.001327 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 762.209254 B =20542.444110 C =21088.829114 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.121 4.121 3 C 0.055 3.945 4 N -0.540 5.540 5 C 0.049 3.951 6 C -0.115 4.115 7 C -0.113 4.113 8 C -0.102 4.102 9 H 0.106 0.894 10 C 0.518 3.482 11 O -0.537 6.537 12 N -0.727 5.727 13 C 0.119 3.881 14 C 0.050 3.950 15 N -0.665 5.665 16 C 0.050 3.950 17 C 0.449 3.551 18 O -0.563 6.563 19 N -0.590 5.590 20 C -0.306 4.306 21 H 0.120 0.880 22 C 0.042 3.958 23 N -0.881 5.881 24 Si 0.880 3.120 25 H -0.271 1.271 26 H -0.276 1.276 27 H -0.269 1.269 28 C 0.077 3.923 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.052 0.948 32 H 0.070 0.930 33 H 0.061 0.939 34 H 0.034 0.966 35 H 0.076 0.924 36 H 0.079 0.921 37 H 0.033 0.967 38 H 0.074 0.926 39 H 0.072 0.928 40 H 0.071 0.929 41 H 0.066 0.934 42 H 0.399 0.601 43 H 0.069 0.931 44 H 0.080 0.920 45 H 0.077 0.923 46 H 0.033 0.967 47 H 0.354 0.646 48 H 0.088 0.912 49 H 0.046 0.954 50 H 0.370 0.630 51 H 0.274 0.726 52 H 0.043 0.957 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -22.237 -29.705 6.117 37.608 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 -0.210 4.210 2 C -0.158 4.158 3 C -0.072 4.072 4 N -0.265 5.265 5 C -0.079 4.079 6 C -0.153 4.153 7 C -0.151 4.151 8 C -0.124 4.124 9 H 0.124 0.876 10 C 0.303 3.697 11 O -0.414 6.414 12 N -0.380 5.380 13 C -0.005 4.005 14 C -0.080 4.080 15 N -0.299 5.299 16 C -0.083 4.083 17 C 0.234 3.766 18 O -0.445 6.445 19 N -0.229 5.229 20 C -0.435 4.435 21 H 0.138 0.862 22 C -0.161 4.161 23 N -0.521 5.521 24 Si 0.706 3.294 25 H -0.197 1.197 26 H -0.201 1.201 27 H -0.195 1.195 28 C -0.052 4.052 29 H 0.074 0.926 30 H 0.075 0.925 31 H 0.071 0.929 32 H 0.089 0.911 33 H 0.080 0.920 34 H 0.052 0.948 35 H 0.094 0.906 36 H 0.097 0.903 37 H 0.052 0.948 38 H 0.093 0.907 39 H 0.090 0.910 40 H 0.090 0.910 41 H 0.085 0.915 42 H 0.234 0.766 43 H 0.087 0.913 44 H 0.098 0.902 45 H 0.095 0.905 46 H 0.051 0.949 47 H 0.174 0.826 48 H 0.106 0.894 49 H 0.064 0.936 50 H 0.203 0.797 51 H 0.084 0.916 52 H 0.061 0.939 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -22.963 -28.334 6.285 37.008 hybrid contribution 1.429 -1.194 -0.157 1.869 sum -21.534 -29.528 6.128 37.056 Atomic orbital electron populations 1.21745 0.95577 1.01813 1.01889 1.21543 0.95418 0.96252 1.02624 1.22143 0.86628 0.97347 1.01118 1.61891 1.07600 1.22239 1.34735 1.22190 0.95483 1.00057 0.90168 1.21579 0.94495 0.96738 1.02450 1.21592 1.00130 0.97091 0.96292 1.21313 0.96603 0.93801 1.00697 0.87586 1.20541 0.82072 0.90994 0.76048 1.90734 1.57308 1.43499 1.49819 1.45913 1.07542 1.10396 1.74118 1.21286 0.92997 0.83250 1.02940 1.22078 0.93699 0.91138 1.01105 1.59922 1.04520 1.17461 1.47974 1.21703 0.88674 0.96639 1.01272 1.19674 0.82919 0.89860 0.84134 1.90578 1.55013 1.44639 1.54262 1.42194 1.05931 1.09189 1.65605 1.19444 0.93155 0.84487 1.46403 0.86247 1.25038 0.96864 0.96637 0.97554 1.69619 1.15257 1.19123 1.48063 0.86669 0.81765 0.82147 0.78782 1.19658 1.20142 1.19490 1.21787 0.92632 0.88601 1.02141 0.92571 0.92504 0.92855 0.91092 0.92027 0.94799 0.90584 0.90291 0.94834 0.90710 0.90988 0.91030 0.91479 0.76645 0.91284 0.90165 0.90469 0.94880 0.82608 0.89352 0.93585 0.79688 0.91586 0.93894 0.89911 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 -0.67 9.91 37.16 0.37 -0.30 16 2 C -0.12 -0.62 5.87 -26.73 -0.16 -0.77 16 3 C 0.06 0.35 4.96 -3.82 -0.02 0.33 16 4 N -0.54 -3.79 4.65 -234.68 -1.09 -4.89 16 5 C 0.05 0.29 5.29 -3.84 -0.02 0.27 16 6 C -0.11 -0.56 6.09 -26.65 -0.16 -0.73 16 7 C -0.11 -0.64 5.16 -26.60 -0.14 -0.78 16 8 C -0.10 -0.75 2.69 -91.69 -0.25 -1.00 16 9 H 0.11 0.67 8.14 -51.93 -0.42 0.25 16 10 C 0.52 5.31 7.16 -10.98 -0.08 5.23 16 11 O -0.54 -7.87 15.98 5.56 0.09 -7.78 16 12 N -0.73 -6.17 5.46 -60.29 -0.33 -6.50 16 13 C 0.12 1.28 5.93 -4.04 -0.02 1.25 16 14 C 0.05 0.52 5.80 -3.83 -0.02 0.49 16 15 N -0.67 -9.88 6.13 -115.06 -0.70 -10.59 16 16 C 0.05 0.79 6.17 -4.97 -0.03 0.76 16 17 C 0.45 10.08 7.82 -10.98 -0.09 9.99 16 18 O -0.56 -15.14 15.78 5.55 0.09 -15.06 16 19 N -0.59 -13.91 5.09 -10.96 -0.06 -13.96 16 20 C -0.31 -8.65 10.16 -14.93 -0.15 -8.80 16 21 H 0.12 3.87 7.39 -52.49 -0.39 3.48 16 22 C 0.04 1.15 5.50 -17.47 -0.10 1.05 16 23 N -0.88 -25.68 13.96 55.50 0.77 -24.91 16 24 Si 0.88 19.15 27.74 -169.99 -4.72 14.43 16 25 H -0.27 -5.77 7.11 56.52 0.40 -5.36 16 26 H -0.28 -6.04 7.11 56.52 0.40 -5.64 16 27 H -0.27 -5.31 6.52 56.52 0.37 -4.95 16 28 C 0.08 0.64 4.03 -3.84 -0.02 0.63 16 29 H 0.06 0.25 8.14 -51.93 -0.42 -0.18 16 30 H 0.06 0.22 8.14 -51.93 -0.42 -0.20 16 31 H 0.05 0.23 8.14 -51.93 -0.42 -0.19 16 32 H 0.07 0.40 8.14 -51.93 -0.42 -0.03 16 33 H 0.06 0.30 6.44 -51.93 -0.33 -0.03 16 34 H 0.03 0.22 8.12 -51.93 -0.42 -0.20 16 35 H 0.08 0.49 7.98 -51.93 -0.41 0.08 16 36 H 0.08 0.40 6.22 -51.92 -0.32 0.08 16 37 H 0.03 0.22 8.14 -51.93 -0.42 -0.20 16 38 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 39 H 0.07 0.28 8.14 -51.93 -0.42 -0.14 16 40 H 0.07 0.31 7.64 -51.93 -0.40 -0.09 16 41 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 42 H 0.40 2.20 7.93 -40.82 -0.32 1.88 16 43 H 0.07 0.82 8.14 -51.93 -0.42 0.39 16 44 H 0.08 1.02 8.14 -51.93 -0.42 0.60 16 45 H 0.08 0.72 8.14 -51.93 -0.42 0.30 16 46 H 0.03 0.30 8.14 -51.93 -0.42 -0.13 16 47 H 0.35 5.51 8.43 -39.29 -0.33 5.17 16 48 H 0.09 1.24 8.14 -51.93 -0.42 0.82 16 49 H 0.05 0.62 8.14 -51.93 -0.42 0.20 16 50 H 0.37 7.59 5.76 -40.82 -0.24 7.36 16 51 H 0.27 7.35 8.31 -40.82 -0.34 7.01 16 52 H 0.04 0.42 8.08 -51.93 -0.42 0.00 16 53 H 0.08 0.77 7.99 -51.93 -0.41 0.36 16 LS Contribution 420.49 15.07 6.34 6.34 Total: -1.00 -34.66 420.49 -10.00 -44.66 By element: Atomic # 1 Polarization: 20.14 SS G_CDS: -9.51 Total: 10.63 kcal Atomic # 6 Polarization: 8.51 SS G_CDS: -0.88 Total: 7.63 kcal Atomic # 7 Polarization: -59.44 SS G_CDS: -1.41 Total: -60.85 kcal Atomic # 8 Polarization: -23.01 SS G_CDS: 0.18 Total: -22.84 kcal Atomic # 14 Polarization: 19.15 SS G_CDS: -4.72 Total: 14.43 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -34.66 -10.00 -44.66 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. ZINC001132738032.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 -35.708 kcal (2) G-P(sol) polarization free energy of solvation -34.658 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -70.366 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.001 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.659 kcal (6) G-S(sol) free energy of system = (1) + (5) -80.367 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.65 seconds