Wall clock time and date at job start Tue Mar 31 2020 20:18:46 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 1.52995 * 1 3 3 C 1.53002 * 109.47353 * 2 1 4 4 C 1.53003 * 109.46977 * 119.99668 * 2 1 3 5 5 C 1.50696 * 109.47403 * 300.00072 * 4 2 1 6 6 O 1.21279 * 119.99991 * 359.97438 * 5 4 2 7 7 N 1.34779 * 119.99907 * 180.02562 * 5 4 2 8 8 C 1.46983 * 120.72516 * 359.97438 * 7 5 4 9 9 C 1.53150 * 108.44342 * 234.53448 * 8 7 5 10 10 C 1.52512 * 109.79550 * 305.46870 * 9 8 7 11 11 H 1.09008 * 108.93184 * 179.65791 * 10 9 8 12 12 O 1.42689 * 110.62400 * 298.68955 * 10 9 8 13 13 C 1.43067 * 113.87674 * 185.34751 * 12 10 9 14 14 C 1.53228 * 109.44550 * 298.35056 * 13 12 10 15 15 N 1.47175 * 108.69357 * 51.59224 * 14 13 12 16 16 C 1.36939 * 121.21979 * 129.07013 * 15 14 13 17 17 H 1.08000 * 120.00045 * 223.10256 * 16 15 14 18 18 C 1.38811 * 120.00243 * 43.10559 * 16 15 14 19 19 N 1.31620 * 120.00089 * 213.67805 * 18 16 15 20 20 Si 1.86800 * 120.00038 * 33.68041 * 18 16 15 21 21 H 1.48492 * 109.47051 * 84.64438 * 20 18 16 22 22 H 1.48501 * 109.47209 * 204.64781 * 20 18 16 23 23 H 1.48501 * 109.46878 * 324.64676 * 20 18 16 24 24 C 1.47587 * 117.55462 * 309.05177 * 15 14 13 25 25 H 1.09005 * 111.16437 * 172.79018 * 24 15 14 26 26 C 1.46793 * 120.71982 * 179.97438 * 7 5 4 27 27 C 1.53000 * 109.47289 * 239.99967 * 2 1 3 28 28 C 1.52993 * 117.50000 * 128.75139 * 27 2 1 29 29 C 1.52995 * 117.50025 * 60.08850 * 27 2 1 30 30 H 1.09006 * 109.47076 * 300.00521 * 1 2 3 31 31 H 1.09000 * 109.46750 * 60.00006 * 1 2 3 32 32 H 1.08990 * 109.47336 * 180.02562 * 1 2 3 33 33 H 1.09007 * 109.47113 * 180.02562 * 3 2 1 34 34 H 1.09000 * 109.47188 * 299.99726 * 3 2 1 35 35 H 1.08994 * 109.47305 * 60.00107 * 3 2 1 36 36 H 1.09007 * 109.47019 * 179.97438 * 4 2 1 37 37 H 1.09005 * 109.47176 * 60.00268 * 4 2 1 38 38 H 1.08992 * 109.64199 * 114.84474 * 8 7 5 39 39 H 1.09001 * 109.81513 * 354.32113 * 8 7 5 40 40 H 1.09001 * 109.42306 * 185.36481 * 9 8 7 41 41 H 1.09006 * 109.36361 * 65.53045 * 9 8 7 42 42 H 1.09005 * 109.47384 * 178.36201 * 13 12 10 43 43 H 1.08996 * 109.48056 * 58.35147 * 13 12 10 44 44 H 1.08998 * 109.60561 * 291.83101 * 14 13 12 45 45 H 1.09000 * 109.73225 * 171.43556 * 14 13 12 46 46 H 0.97002 * 120.00386 * 180.02562 * 19 18 16 47 47 H 1.08997 * 109.52009 * 245.63285 * 26 7 5 48 48 H 1.09000 * 109.52109 * 5.81492 * 26 7 5 49 49 H 1.09003 * 115.54905 * 274.41644 * 27 2 1 50 50 H 1.08996 * 117.50320 * 359.97438 * 28 27 2 51 51 H 1.09006 * 117.50417 * 145.02467 * 28 27 2 52 52 H 1.09000 * 117.49757 * 214.98650 * 29 27 2 53 53 H 1.08997 * 117.49779 * 359.97438 * 29 27 2 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0399 -0.7212 1.2493 5 6 1.5376 -0.0108 2.4797 6 8 0.8407 0.9755 2.3684 7 7 1.8636 -0.4710 3.7039 8 6 2.7076 -1.6645 3.8572 9 6 1.9692 -2.6691 4.7467 10 6 1.5789 -2.0044 6.0627 11 1 1.0497 -2.7290 6.6816 12 8 2.7397 -1.5709 6.7704 13 6 2.4618 -1.0453 8.0717 14 6 1.5625 0.1885 7.9422 15 7 0.4001 -0.1604 7.1097 16 6 -0.8770 0.1034 7.5276 17 1 -1.6527 -0.6359 7.3933 18 6 -1.1747 1.3211 8.1238 19 7 -2.0849 1.3844 9.0725 20 14 -0.2836 2.8701 7.5797 21 1 -0.9636 3.4399 6.3890 22 1 -0.3006 3.8643 8.6826 23 1 1.1220 2.5372 7.2350 24 6 0.6614 -0.8045 5.8078 25 1 -0.2660 -1.1309 5.3370 26 6 1.3835 0.2090 4.9130 27 6 2.0400 -0.7212 -1.2492 28 6 3.0763 0.0039 -2.1100 29 6 1.6375 -0.1484 -2.6096 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 3.1301 1.4425 -0.0005 34 1 1.6768 1.9563 -0.8900 35 1 1.6768 1.9563 0.8899 36 1 3.1300 -0.7216 1.2491 37 1 1.6766 -1.7489 1.2494 38 1 3.6528 -1.3874 4.3240 39 1 2.8980 -2.1104 2.8810 40 1 2.6193 -3.5201 4.9494 41 1 1.0708 -3.0133 4.2343 42 1 3.3964 -0.7644 8.5573 43 1 1.9553 -1.8032 8.6693 44 1 2.1191 0.9990 7.4717 45 1 1.2241 0.5025 8.9296 46 1 -2.2932 2.2354 9.4889 47 1 2.2302 0.6330 5.4529 48 1 0.6932 1.0049 4.6335 49 1 2.1253 -1.8046 -1.1647 50 1 3.3946 0.9949 -1.7866 51 1 3.8432 -0.6024 -2.5922 52 1 1.4582 -0.8548 -3.4201 53 1 1.0090 0.7421 -2.6146 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 ZINC001074235090.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 20:18:46 Heat of formation + Delta-G solvation = -23.595291 kcal Electronic energy + Delta-G solvation = -31723.771493 eV Core-core repulsion = 27790.242117 eV Total energy + Delta-G solvation = -3933.529376 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.16 seconds Orbital eigenvalues (eV) -40.55905 -39.40332 -38.11641 -35.89853 -34.76033 -33.62032 -31.92757 -31.82913 -30.04778 -28.47474 -27.33049 -27.28664 -24.83626 -23.96210 -23.27052 -22.88457 -22.38278 -21.51212 -19.59793 -18.51998 -18.23694 -17.22954 -16.97850 -15.97569 -15.73257 -15.61552 -15.46486 -15.39155 -14.83302 -14.40179 -14.31592 -14.17198 -13.86353 -13.49354 -13.40698 -13.18954 -12.78286 -12.64655 -12.54402 -12.35983 -12.20946 -11.85367 -11.81474 -11.70015 -11.45229 -11.33447 -11.17182 -11.02009 -10.95896 -10.82889 -10.76311 -10.67286 -10.48710 -10.37563 -10.26370 -9.98035 -9.88422 -9.59415 -9.26747 -9.16599 -8.40420 -8.30792 -6.77704 -6.18373 -3.54554 2.85384 3.19919 3.37807 3.47193 3.54436 3.64588 4.16239 4.41295 4.49023 4.58632 4.71511 4.75973 4.79417 4.96684 4.98719 5.06932 5.08657 5.17755 5.26344 5.33412 5.39034 5.44729 5.50830 5.53727 5.62922 5.66241 5.68339 5.70366 5.82153 5.85306 5.87340 5.90963 5.91071 5.96128 6.02361 6.04733 6.07449 6.12784 6.17550 6.23377 6.27807 6.44088 6.53061 6.56076 6.61041 6.67105 6.79826 6.86176 7.68004 7.71395 7.91520 8.29079 8.46946 8.84636 9.58159 10.06861 10.96713 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015397 B = 0.003546 C = 0.003117 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1818.099386 B = 7895.025538 C = 8979.953093 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.014 4.014 3 C -0.156 4.156 4 C -0.127 4.127 5 C 0.511 3.489 6 O -0.534 6.534 7 N -0.607 5.607 8 C 0.112 3.888 9 C -0.123 4.123 10 C 0.081 3.919 11 H 0.055 0.945 12 O -0.386 6.386 13 C 0.048 3.952 14 C 0.105 3.895 15 N -0.591 5.591 16 C -0.283 4.283 17 H 0.074 0.926 18 C 0.057 3.943 19 N -0.876 5.876 20 Si 0.847 3.153 21 H -0.283 1.283 22 H -0.296 1.296 23 H -0.259 1.259 24 C 0.131 3.869 25 H 0.082 0.918 26 C 0.101 3.899 27 C -0.142 4.142 28 C -0.186 4.186 29 C -0.178 4.178 30 H 0.087 0.913 31 H 0.049 0.951 32 H 0.045 0.955 33 H 0.048 0.952 34 H 0.049 0.951 35 H 0.087 0.913 36 H 0.090 0.910 37 H 0.090 0.910 38 H 0.074 0.926 39 H 0.080 0.920 40 H 0.078 0.922 41 H 0.079 0.921 42 H 0.083 0.917 43 H 0.049 0.951 44 H 0.034 0.966 45 H 0.076 0.924 46 H 0.266 0.734 47 H 0.064 0.936 48 H 0.088 0.912 49 H 0.101 0.899 50 H 0.100 0.900 51 H 0.088 0.912 52 H 0.090 0.910 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.190 -7.789 -16.678 22.077 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 -0.208 4.208 2 C -0.014 4.014 3 C -0.213 4.213 4 C -0.167 4.167 5 C 0.300 3.700 6 O -0.412 6.412 7 N -0.341 5.341 8 C -0.011 4.011 9 C -0.162 4.162 10 C 0.021 3.979 11 H 0.073 0.927 12 O -0.305 6.305 13 C -0.030 4.030 14 C -0.020 4.020 15 N -0.314 5.314 16 C -0.410 4.410 17 H 0.092 0.908 18 C -0.147 4.147 19 N -0.513 5.513 20 Si 0.673 3.327 21 H -0.210 1.210 22 H -0.222 1.222 23 H -0.184 1.184 24 C 0.024 3.976 25 H 0.100 0.900 26 C -0.023 4.023 27 C -0.160 4.160 28 C -0.223 4.223 29 C -0.215 4.215 30 H 0.106 0.894 31 H 0.068 0.932 32 H 0.064 0.936 33 H 0.067 0.933 34 H 0.068 0.932 35 H 0.105 0.895 36 H 0.108 0.892 37 H 0.108 0.892 38 H 0.093 0.907 39 H 0.098 0.902 40 H 0.097 0.903 41 H 0.097 0.903 42 H 0.101 0.899 43 H 0.067 0.933 44 H 0.052 0.948 45 H 0.094 0.906 46 H 0.075 0.925 47 H 0.082 0.918 48 H 0.106 0.894 49 H 0.119 0.881 50 H 0.119 0.881 51 H 0.107 0.893 52 H 0.108 0.892 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges 11.849 -7.166 -16.628 21.639 hybrid contribution 0.201 0.920 -0.102 0.947 sum 12.050 -6.247 -16.730 21.543 Atomic orbital electron populations 1.22077 0.93707 1.01461 1.03537 1.19747 0.96158 0.94832 0.90667 1.22222 0.99919 0.95611 1.03538 1.21746 1.02093 1.00307 0.92582 1.20591 0.80341 0.84737 0.84352 1.90577 1.38157 1.26679 1.85790 1.48285 1.50701 1.28915 1.06178 1.21640 0.94116 0.85513 0.99831 1.21806 1.01362 0.98035 0.94986 1.22241 0.87291 0.95942 0.92391 0.92674 1.87724 1.31151 1.82012 1.29590 1.23104 0.99323 0.96727 0.83877 1.21998 0.88943 0.94549 0.96501 1.44439 1.02701 1.71317 1.12966 1.18558 0.85849 0.98643 1.37974 0.90833 1.25638 0.95442 0.97655 0.95994 1.70044 1.34554 1.26088 1.20664 0.87354 0.81570 0.84848 0.78886 1.20961 1.22247 1.18434 1.21763 0.96505 0.91815 0.87559 0.89974 1.22277 0.99252 0.96978 0.83764 1.22365 1.03502 0.98685 0.91464 1.23153 0.92359 1.02683 1.04112 1.22912 0.98148 1.03318 0.97095 0.89450 0.93218 0.93554 0.93314 0.93215 0.89478 0.89206 0.89152 0.90728 0.90198 0.90332 0.90293 0.89886 0.93296 0.94817 0.90565 0.92453 0.91767 0.89410 0.88060 0.88126 0.89323 0.89193 0.88791 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -1.85 8.02 37.16 0.30 -1.55 16 2 C -0.01 -0.15 0.62 -154.51 -0.10 -0.24 16 3 C -0.16 -1.85 6.77 37.16 0.25 -1.60 16 4 C -0.13 -1.36 3.10 -27.88 -0.09 -1.45 16 5 C 0.51 7.66 7.11 -10.99 -0.08 7.58 16 6 O -0.53 -9.88 10.76 5.56 0.06 -9.82 16 7 N -0.61 -9.22 2.96 -172.81 -0.51 -9.73 16 8 C 0.11 1.31 6.17 -3.70 -0.02 1.29 16 9 C -0.12 -1.49 5.82 -26.90 -0.16 -1.65 16 10 C 0.08 1.32 2.73 -26.88 -0.07 1.24 16 11 H 0.06 0.95 8.11 -51.92 -0.42 0.53 16 12 O -0.39 -6.53 9.59 -35.23 -0.34 -6.87 16 13 C 0.05 0.82 6.97 37.28 0.26 1.08 16 14 C 0.11 2.20 4.32 -3.56 -0.02 2.19 16 15 N -0.59 -13.58 2.13 -163.89 -0.35 -13.93 16 16 C -0.28 -7.68 9.78 -15.06 -0.15 -7.82 16 17 H 0.07 2.16 8.06 -52.49 -0.42 1.74 16 18 C 0.06 1.60 4.92 -17.43 -0.09 1.51 16 19 N -0.88 -25.93 13.97 55.49 0.78 -25.15 16 20 Si 0.85 21.52 27.53 -169.99 -4.68 16.84 16 21 H -0.28 -7.48 7.11 56.52 0.40 -7.08 16 22 H -0.30 -7.54 7.11 56.52 0.40 -7.14 16 23 H -0.26 -6.30 5.18 56.52 0.29 -6.01 16 24 C 0.13 2.57 3.00 -67.09 -0.20 2.37 16 25 H 0.08 1.69 8.03 -51.93 -0.42 1.28 16 26 C 0.10 1.93 5.62 -3.74 -0.02 1.91 16 27 C -0.14 -1.27 5.14 -90.63 -0.47 -1.73 16 28 C -0.19 -1.53 9.57 -26.70 -0.26 -1.79 16 29 C -0.18 -1.50 9.39 -26.70 -0.25 -1.75 16 30 H 0.09 1.34 5.51 -51.93 -0.29 1.06 16 31 H 0.05 0.57 7.29 -51.93 -0.38 0.19 16 32 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 33 H 0.05 0.52 6.97 -51.92 -0.36 0.16 16 34 H 0.05 0.55 7.07 -51.93 -0.37 0.18 16 35 H 0.09 1.30 5.51 -51.93 -0.29 1.02 16 36 H 0.09 0.83 7.93 -51.92 -0.41 0.42 16 37 H 0.09 0.82 7.72 -51.93 -0.40 0.42 16 38 H 0.07 0.91 7.94 -51.93 -0.41 0.49 16 39 H 0.08 0.68 5.96 -51.93 -0.31 0.37 16 40 H 0.08 0.81 8.14 -51.93 -0.42 0.38 16 41 H 0.08 0.90 8.14 -51.93 -0.42 0.47 16 42 H 0.08 1.21 8.14 -51.93 -0.42 0.79 16 43 H 0.05 0.85 8.13 -51.93 -0.42 0.43 16 44 H 0.03 0.72 5.59 -51.93 -0.29 0.43 16 45 H 0.08 1.69 7.34 -51.93 -0.38 1.31 16 46 H 0.27 7.47 8.31 -40.82 -0.34 7.13 16 47 H 0.06 1.29 6.56 -51.93 -0.34 0.95 16 48 H 0.09 1.95 7.00 -51.93 -0.36 1.59 16 49 H 0.10 0.81 8.11 -51.93 -0.42 0.39 16 50 H 0.10 0.86 5.85 -51.93 -0.30 0.56 16 51 H 0.09 0.63 8.14 -51.93 -0.42 0.21 16 52 H 0.09 0.67 8.14 -51.93 -0.42 0.24 16 53 H 0.09 0.84 7.07 -51.93 -0.37 0.47 16 LS Contribution 384.32 15.07 5.79 5.79 Total: -1.00 -30.67 384.32 -9.55 -40.21 By element: Atomic # 1 Polarization: 12.23 SS G_CDS: -9.15 Total: 3.08 kcal Atomic # 6 Polarization: 0.72 SS G_CDS: -1.15 Total: -0.43 kcal Atomic # 7 Polarization: -48.72 SS G_CDS: -0.09 Total: -48.81 kcal Atomic # 8 Polarization: -16.41 SS G_CDS: -0.28 Total: -16.69 kcal Atomic # 14 Polarization: 21.52 SS G_CDS: -4.68 Total: 16.84 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -30.67 -9.55 -40.21 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. ZINC001074235090.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 16.618 kcal (2) G-P(sol) polarization free energy of solvation -30.668 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -14.050 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.545 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.214 kcal (6) G-S(sol) free energy of system = (1) + (5) -23.595 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.16 seconds