Wall clock time and date at job start Tue Mar 31 2020 06:09:14 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 N 2 2 C 1.30877 * 1 3 3 Si 1.86792 * 119.99905 * 2 1 4 4 H 1.48499 * 109.47316 * 180.02562 * 3 2 1 5 5 H 1.48508 * 109.47009 * 300.00216 * 3 2 1 6 6 H 1.48500 * 109.47446 * 60.00023 * 3 2 1 7 7 C 1.39905 * 119.99978 * 180.02562 * 2 1 3 8 8 H 1.08001 * 119.99914 * 196.83985 * 7 2 1 9 9 C 1.41153 * 120.00392 * 16.84924 * 7 2 1 10 10 C 1.40863 * 120.16509 * 205.35139 * 9 7 2 11 11 C 1.36379 * 119.82785 * 179.97438 * 10 9 7 12 12 C 1.39480 * 120.16896 * 359.97438 * 11 10 9 13 13 N 1.39238 * 119.83118 * 180.02562 * 12 11 10 14 14 C 1.34771 * 120.00270 * 145.61055 * 13 12 11 15 15 O 1.21288 * 119.99939 * 354.89639 * 14 13 12 16 16 C 1.50697 * 120.00439 * 174.89825 * 14 13 12 17 17 N 1.46894 * 109.47398 * 179.97438 * 16 14 13 18 18 C 1.46805 * 110.99873 * 293.95459 * 17 16 14 19 19 C 1.53113 * 109.69472 * 174.41315 * 18 17 16 20 20 C 1.53002 * 109.08698 * 58.96289 * 19 18 17 21 21 H 1.09005 * 109.48414 * 61.78732 * 20 19 18 22 22 C 1.52904 * 110.02505 * 182.15690 * 20 19 18 23 23 C 1.53072 * 109.26186 * 180.20215 * 22 20 19 24 24 C 1.52965 * 109.64172 * 300.18125 * 23 22 20 25 25 C 1.52958 * 109.66419 * 59.54191 * 24 23 22 26 26 C 1.52907 * 109.32772 * 300.22378 * 25 24 23 27 27 H 1.09002 * 109.46729 * 300.55859 * 26 25 24 28 28 C 1.46916 * 111.00230 * 169.48581 * 17 16 14 29 29 C 1.39477 * 120.33106 * 0.27417 * 12 11 10 30 30 C 1.36371 * 120.17072 * 359.44259 * 29 12 11 31 31 H 0.96997 * 120.00330 * 359.97438 * 1 2 3 32 32 H 1.07998 * 120.08338 * 359.95596 * 10 9 7 33 33 H 1.08004 * 119.91404 * 179.97438 * 11 10 9 34 34 H 0.97001 * 119.99647 * 325.60378 * 13 12 11 35 35 H 1.08994 * 109.47252 * 59.99426 * 16 14 13 36 36 H 1.09004 * 109.46854 * 299.99713 * 16 14 13 37 37 H 1.08996 * 109.43906 * 54.34555 * 18 17 16 38 38 H 1.09005 * 109.43285 * 294.47690 * 18 17 16 39 39 H 1.08997 * 109.53428 * 299.08119 * 19 18 17 40 40 H 1.08999 * 109.59933 * 178.88808 * 19 18 17 41 41 H 1.09000 * 109.50585 * 300.13632 * 22 20 19 42 42 H 1.09000 * 109.50852 * 60.22621 * 22 20 19 43 43 H 1.08997 * 109.44500 * 60.23304 * 23 22 20 44 44 H 1.09003 * 109.44212 * 180.16453 * 23 22 20 45 45 H 1.09002 * 109.43917 * 179.62167 * 24 23 22 46 46 H 1.08999 * 109.44073 * 299.50815 * 24 23 22 47 47 H 1.09000 * 109.51462 * 180.24593 * 25 24 23 48 48 H 1.08999 * 109.43450 * 60.16318 * 25 24 23 49 49 H 1.08993 * 109.50034 * 65.78878 * 28 17 16 50 50 H 1.09002 * 109.49067 * 305.70588 * 28 17 16 51 51 H 1.08005 * 119.90953 * 179.72329 * 29 12 11 52 52 H 1.07998 * 120.08698 * 180.26991 * 30 29 12 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3088 0.0000 0.0000 3 14 2.2427 1.6177 0.0000 4 1 3.7027 1.3464 -0.0006 5 1 1.8839 2.3964 -1.2125 6 1 1.8840 2.3964 1.2125 7 6 2.0083 -1.2116 -0.0005 8 1 3.0536 -1.2318 0.2704 9 6 1.3481 -2.4077 -0.3554 10 6 1.8188 -3.6454 0.1250 11 6 1.1753 -4.7967 -0.2218 12 6 0.0535 -4.7508 -1.0494 13 7 -0.5984 -5.9305 -1.3985 14 6 -1.9366 -5.9392 -1.5582 15 8 -2.5836 -4.9442 -1.3083 16 6 -2.6291 -7.1851 -2.0473 17 7 -4.0747 -6.9392 -2.1356 18 6 -4.6529 -6.7179 -0.8045 19 6 -6.1274 -6.3282 -0.9408 20 6 -6.8755 -7.4474 -1.6678 21 1 -6.8187 -8.3640 -1.0805 22 6 -8.3409 -7.0568 -1.8632 23 6 -9.0733 -8.1895 -2.5868 24 6 -8.4211 -8.4363 -3.9483 25 6 -6.9519 -8.8149 -3.7542 26 6 -6.2266 -7.6763 -3.0360 27 1 -6.3016 -6.7657 -3.6304 28 6 -4.7533 -8.0360 -2.8392 29 6 -0.4154 -3.5295 -1.5331 30 6 0.2141 -2.3693 -1.1904 31 1 -0.4850 0.8400 0.0004 32 1 2.6872 -3.6824 0.7660 33 1 1.5353 -5.7465 0.1454 34 1 -0.0894 -6.7462 -1.5269 35 1 -2.4418 -8.0021 -1.3507 36 1 -2.2448 -7.4516 -3.0319 37 1 -4.1110 -5.9165 -0.3023 38 1 -4.5724 -7.6328 -0.2174 39 1 -6.2087 -5.4040 -1.5128 40 1 -6.5603 -6.1835 0.0490 41 1 -8.8046 -6.8858 -0.8917 42 1 -8.3984 -6.1461 -2.4594 43 1 -9.0177 -9.0985 -1.9878 44 1 -10.1178 -7.9128 -2.7302 45 1 -8.9409 -9.2478 -4.4577 46 1 -8.4853 -7.5303 -4.5509 47 1 -6.4885 -8.9859 -4.7258 48 1 -6.8875 -9.7229 -3.1548 49 1 -4.6774 -8.9490 -2.2489 50 1 -4.2837 -8.1904 -3.8107 51 1 -1.2820 -3.5023 -2.1771 52 1 -0.1527 -1.4241 -1.5622 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 ZINC000007919901.mol2 52 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 06:09:14 Heat of formation + Delta-G solvation = -32.977340 kcal Electronic energy + Delta-G solvation = -29618.921104 eV Core-core repulsion = 25774.526282 eV Total energy + Delta-G solvation = -3844.394822 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 342.205 amu Computer time = 1.55 seconds Orbital eigenvalues (eV) -40.30801 -39.36101 -37.42514 -36.31780 -34.36034 -33.05638 -32.82410 -31.79631 -29.52934 -29.31837 -29.00565 -27.34531 -24.83755 -23.73385 -22.93330 -22.01167 -21.39909 -20.90758 -20.05875 -19.87565 -19.35972 -17.30466 -16.90281 -16.38165 -15.62345 -15.43160 -15.25022 -15.07822 -14.78357 -14.55187 -14.14469 -13.99209 -13.93409 -13.78538 -13.26364 -13.04339 -12.88105 -12.63118 -12.48311 -12.18461 -11.98754 -11.94845 -11.75353 -11.60220 -11.53511 -11.39126 -11.19594 -11.11069 -11.06663 -10.91766 -10.89267 -10.58758 -10.49475 -10.07511 -10.00956 -9.90536 -9.70426 -9.39024 -9.05622 -8.64310 -8.23916 -7.49343 -6.96988 -6.70380 -4.26427 2.61599 3.02151 3.09515 3.13103 3.15165 3.41331 3.49014 3.95690 4.10447 4.43075 4.45363 4.52076 4.67243 4.84970 4.90018 5.02728 5.07495 5.15468 5.24462 5.27570 5.28036 5.32964 5.35550 5.38321 5.48541 5.56457 5.57961 5.68977 5.73593 5.74074 5.80075 5.90255 5.94292 5.98826 6.01926 6.14699 6.16852 6.18646 6.27163 6.41421 6.44095 6.85430 6.92933 7.06150 7.08359 7.11617 7.20150 7.32717 7.62755 7.72877 8.01580 8.08392 8.25526 8.36568 8.66046 8.86080 8.91496 9.05228 10.22290 Molecular weight = 342.20amu Principal moments of inertia in cm(-1) A = 0.020309 B = 0.002058 C = 0.001933 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1378.395172 B =13605.140464 C =14485.317014 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.789 5.789 2 C 0.073 3.927 3 Si 0.908 3.092 4 H -0.261 1.261 5 H -0.272 1.272 6 H -0.275 1.275 7 C -0.459 4.459 8 H 0.078 0.922 9 C 0.105 3.895 10 C -0.215 4.215 11 C -0.106 4.106 12 C -0.002 4.002 13 N -0.656 5.656 14 C 0.497 3.503 15 O -0.508 6.508 16 C 0.040 3.960 17 N -0.519 5.519 18 C 0.052 3.948 19 C -0.109 4.109 20 C -0.083 4.083 21 H 0.063 0.937 22 C -0.114 4.114 23 C -0.119 4.119 24 C -0.118 4.118 25 C -0.112 4.112 26 C -0.078 4.078 27 H 0.080 0.920 28 C 0.063 3.937 29 C -0.085 4.085 30 C -0.154 4.154 31 H 0.280 0.720 32 H 0.095 0.905 33 H 0.089 0.911 34 H 0.392 0.608 35 H 0.056 0.944 36 H 0.099 0.901 37 H 0.098 0.902 38 H 0.023 0.977 39 H 0.074 0.926 40 H 0.064 0.936 41 H 0.060 0.940 42 H 0.064 0.936 43 H 0.059 0.941 44 H 0.059 0.941 45 H 0.059 0.941 46 H 0.062 0.938 47 H 0.062 0.938 48 H 0.059 0.941 49 H 0.030 0.970 50 H 0.073 0.927 51 H 0.101 0.899 52 H 0.120 0.880 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.310 -17.218 -5.904 22.549 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 N -0.414 5.414 2 C -0.145 4.145 3 Si 0.732 3.268 4 H -0.184 1.184 5 H -0.197 1.197 6 H -0.200 1.200 7 C -0.489 4.489 8 H 0.096 0.904 9 C 0.102 3.898 10 C -0.236 4.236 11 C -0.126 4.126 12 C -0.095 4.095 13 N -0.300 5.300 14 C 0.282 3.718 15 O -0.383 6.383 16 C -0.092 4.092 17 N -0.244 5.244 18 C -0.076 4.076 19 C -0.146 4.146 20 C -0.102 4.102 21 H 0.081 0.919 22 C -0.151 4.151 23 C -0.156 4.156 24 C -0.156 4.156 25 C -0.150 4.150 26 C -0.097 4.097 27 H 0.099 0.901 28 C -0.065 4.065 29 C -0.105 4.105 30 C -0.174 4.174 31 H 0.091 0.909 32 H 0.113 0.887 33 H 0.107 0.893 34 H 0.225 0.775 35 H 0.074 0.926 36 H 0.117 0.883 37 H 0.116 0.884 38 H 0.041 0.959 39 H 0.092 0.908 40 H 0.083 0.917 41 H 0.079 0.921 42 H 0.082 0.918 43 H 0.077 0.923 44 H 0.077 0.923 45 H 0.077 0.923 46 H 0.081 0.919 47 H 0.081 0.919 48 H 0.078 0.922 49 H 0.048 0.952 50 H 0.092 0.908 51 H 0.119 0.881 52 H 0.138 0.862 Dipole moment (debyes) X Y Z Total from point charges -14.081 -15.912 -5.995 22.077 hybrid contribution 0.760 -0.478 0.516 1.035 sum -13.322 -16.389 -5.479 21.819 Atomic orbital electron populations 1.69868 1.07522 1.29160 1.34842 1.25942 0.94743 1.01355 0.92438 0.86273 0.80913 0.81040 0.78550 1.18430 1.19711 1.20030 1.19565 0.97747 0.91187 1.40381 0.90397 1.17673 0.91260 0.92087 0.88789 1.20540 1.03794 0.92562 1.06660 1.20049 0.96983 0.97144 0.98451 1.17147 0.99243 0.85089 1.07989 1.42995 1.06518 1.11458 1.69043 1.20390 0.82266 0.89969 0.79162 1.90699 1.64359 1.34817 1.48403 1.21915 0.89547 0.95487 1.02215 1.61446 1.00847 1.41975 1.20083 1.22265 0.95915 1.00580 0.88801 1.21584 0.93878 0.98899 1.00285 1.21211 0.94404 0.98586 0.95951 0.91854 1.21567 0.94875 0.98393 1.00298 1.21534 0.98899 0.98829 0.96377 1.21493 0.95532 1.01342 0.97195 1.21513 0.95305 0.98001 1.00226 1.21160 0.92951 0.99116 0.96488 0.90141 1.22119 0.94546 0.91441 0.98401 1.20418 0.98884 0.91633 0.99539 1.20989 0.98910 0.96713 1.00821 0.90855 0.88716 0.89321 0.77493 0.92566 0.88250 0.88376 0.95929 0.90765 0.91691 0.92095 0.91769 0.92270 0.92256 0.92256 0.91929 0.91932 0.92218 0.95161 0.90828 0.88072 0.86244 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 N -0.79 -21.06 10.94 55.55 0.61 -20.45 16 2 C 0.07 1.87 5.15 -17.33 -0.09 1.78 16 3 Si 0.91 18.90 29.59 -169.99 -5.03 13.87 16 4 H -0.26 -5.34 7.11 56.52 0.40 -4.93 16 5 H -0.27 -5.58 7.11 56.52 0.40 -5.17 16 6 H -0.27 -5.64 7.11 56.52 0.40 -5.24 16 7 C -0.46 -12.30 9.04 -37.85 -0.34 -12.64 16 8 H 0.08 1.99 7.90 -52.49 -0.41 1.58 16 9 C 0.10 2.83 5.57 -106.80 -0.59 2.24 16 10 C -0.22 -5.27 9.74 -39.26 -0.38 -5.65 16 11 C -0.11 -2.34 9.90 -39.79 -0.39 -2.74 16 12 C 0.00 -0.06 6.27 -83.57 -0.52 -0.58 16 13 N -0.66 -11.48 5.31 -9.74 -0.05 -11.53 16 14 C 0.50 8.73 7.22 -10.99 -0.08 8.65 16 15 O -0.51 -11.24 12.08 5.55 0.07 -11.17 16 16 C 0.04 0.50 5.45 -4.98 -0.03 0.47 16 17 N -0.52 -6.84 4.38 -236.12 -1.03 -7.87 16 18 C 0.05 0.70 5.10 -3.82 -0.02 0.68 16 19 C -0.11 -1.28 5.42 -26.67 -0.14 -1.43 16 20 C -0.08 -0.80 2.00 -90.59 -0.18 -0.98 16 21 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 22 C -0.11 -0.97 5.25 -26.74 -0.14 -1.11 16 23 C -0.12 -0.87 5.92 -26.71 -0.16 -1.02 16 24 C -0.12 -0.84 5.91 -26.77 -0.16 -1.00 16 25 C -0.11 -0.85 5.24 -26.80 -0.14 -0.99 16 26 C -0.08 -0.74 2.10 -90.63 -0.19 -0.93 16 27 H 0.08 0.89 8.14 -51.93 -0.42 0.47 16 28 C 0.06 0.64 4.79 -3.85 -0.02 0.62 16 29 C -0.08 -2.13 8.57 -39.79 -0.34 -2.47 16 30 C -0.15 -4.18 8.63 -39.26 -0.34 -4.52 16 31 H 0.28 6.81 8.30 -40.82 -0.34 6.47 16 32 H 0.09 2.16 8.06 -52.49 -0.42 1.74 16 33 H 0.09 1.66 8.06 -52.48 -0.42 1.24 16 34 H 0.39 5.24 8.82 -40.82 -0.36 4.88 16 35 H 0.06 0.60 8.12 -51.93 -0.42 0.18 16 36 H 0.10 1.04 7.98 -51.93 -0.41 0.63 16 37 H 0.10 1.67 5.80 -51.93 -0.30 1.37 16 38 H 0.02 0.28 8.14 -51.93 -0.42 -0.14 16 39 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 40 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 41 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 42 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 44 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 45 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 46 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 47 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 48 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 49 H 0.03 0.29 8.14 -51.93 -0.42 -0.13 16 50 H 0.07 0.68 8.02 -51.93 -0.42 0.27 16 51 H 0.10 2.57 6.48 -52.48 -0.34 2.23 16 52 H 0.12 3.36 6.17 -52.49 -0.32 3.04 16 LS Contribution 398.59 15.07 6.01 6.01 Total: -1.00 -30.44 398.59 -12.59 -43.03 By element: Atomic # 1 Polarization: 18.63 SS G_CDS: -8.89 Total: 9.74 kcal Atomic # 6 Polarization: -17.37 SS G_CDS: -4.26 Total: -21.63 kcal Atomic # 7 Polarization: -39.37 SS G_CDS: -0.48 Total: -39.85 kcal Atomic # 8 Polarization: -11.24 SS G_CDS: 0.07 Total: -11.17 kcal Atomic # 14 Polarization: 18.90 SS G_CDS: -5.03 Total: 13.87 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -30.44 -12.59 -43.03 kcal The number of atoms in the molecule is 52 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. ZINC000007919901.mol2 52 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 10.056 kcal (2) G-P(sol) polarization free energy of solvation -30.442 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -20.387 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.591 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.033 kcal (6) G-S(sol) free energy of system = (1) + (5) -32.977 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.55 seconds