Wall clock time and date at job start Sat Apr 11 2020 06:09:19 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 1.53003 * 1 3 3 C 1.53003 * 109.46804 * 2 1 4 4 H 1.09004 * 109.47239 * 306.27397 * 3 2 1 5 5 C 1.52996 * 109.47499 * 66.27963 * 3 2 1 6 6 C 1.53008 * 109.47024 * 186.27848 * 3 2 1 7 7 H 1.08997 * 109.47032 * 59.79618 * 6 3 2 8 8 N 1.46492 * 109.46768 * 299.79710 * 6 3 2 9 9 C 1.34774 * 119.99975 * 155.00195 * 8 6 3 10 10 O 1.21285 * 120.00132 * 359.97438 * 9 8 6 11 11 C 1.50701 * 120.00144 * 179.97438 * 9 8 6 12 12 N 1.46508 * 109.47081 * 179.97438 * 11 9 8 13 13 C 1.36930 * 119.99978 * 263.86619 * 12 11 9 14 14 H 1.08007 * 120.00154 * 201.53256 * 13 12 11 15 15 C 1.38812 * 120.00209 * 21.52516 * 13 12 11 16 16 N 1.31618 * 119.99719 * 16.51858 * 15 13 12 17 17 Si 1.86800 * 120.00148 * 196.51853 * 15 13 12 18 18 H 1.48497 * 109.47323 * 90.00301 * 17 15 13 19 19 H 1.48498 * 109.46931 * 210.00308 * 17 15 13 20 20 H 1.48501 * 109.46997 * 329.99762 * 17 15 13 21 21 C 1.46502 * 119.99682 * 83.86124 * 12 11 9 22 22 C 1.54270 * 110.02767 * 122.09425 * 21 12 11 23 23 C 1.54966 * 104.16196 * 95.75393 * 22 21 12 24 24 C 1.54886 * 102.77678 * 37.88361 * 23 22 21 25 25 C 1.53870 * 110.03164 * 239.30687 * 21 12 11 26 26 C 1.50702 * 109.47153 * 179.79492 * 6 3 2 27 27 O 1.20823 * 119.99970 * 98.26196 * 26 6 3 28 28 O 1.34230 * 120.00107 * 278.26872 * 26 6 3 29 29 C 1.45195 * 116.99933 * 180.02562 * 28 26 6 30 30 H 1.08998 * 109.47215 * 299.99977 * 1 2 3 31 31 H 1.09002 * 109.46971 * 60.00267 * 1 2 3 32 32 H 1.09003 * 109.46659 * 180.02562 * 1 2 3 33 33 H 1.08998 * 109.47215 * 240.00023 * 2 1 3 34 34 H 1.09000 * 109.47403 * 119.99441 * 2 1 3 35 35 H 1.09003 * 109.47438 * 180.02562 * 5 3 2 36 36 H 1.09005 * 109.46753 * 300.00069 * 5 3 2 37 37 H 1.08996 * 109.47066 * 59.99426 * 5 3 2 38 38 H 0.97001 * 120.00650 * 334.99268 * 8 6 3 39 39 H 1.09000 * 109.47295 * 60.00017 * 11 9 8 40 40 H 1.08997 * 109.47257 * 299.99559 * 11 9 8 41 41 H 0.97003 * 119.99557 * 179.97438 * 16 15 13 42 42 H 1.08996 * 110.01802 * 0.70698 * 21 12 11 43 43 H 1.09001 * 110.48197 * 214.39905 * 22 21 12 44 44 H 1.08999 * 110.48968 * 337.04239 * 22 21 12 45 45 H 1.09004 * 110.71701 * 279.57399 * 23 22 21 46 46 H 1.08994 * 110.92552 * 156.29206 * 23 22 21 47 47 H 1.08995 * 110.49070 * 203.40561 * 24 23 22 48 48 H 1.08999 * 110.59909 * 80.81669 * 24 23 22 49 49 H 1.09003 * 110.03585 * 359.95753 * 25 21 12 50 50 H 1.09002 * 110.03015 * 121.38864 * 25 21 12 51 51 H 1.09004 * 109.46660 * 179.97438 * 29 28 26 52 52 H 1.09005 * 109.46629 * 299.99224 * 29 28 26 53 53 H 1.08998 * 109.47583 * 59.99407 * 29 28 26 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 1.4426 0.0000 4 1 1.5878 1.9878 -0.8285 5 6 1.6629 2.1169 1.3206 6 6 3.5619 1.4455 -0.1578 7 1 3.8307 0.9619 -1.0969 8 7 4.1698 0.7169 0.9583 9 6 5.3842 0.1510 0.8118 10 8 5.9736 0.2447 -0.2440 11 6 6.0099 -0.5981 1.9601 12 7 7.3185 -1.1145 1.5510 13 6 7.4363 -2.4030 1.1026 14 1 8.3953 -2.8991 1.1309 15 6 6.3233 -3.0716 0.6118 16 7 5.2465 -2.3955 0.2714 17 14 6.3536 -4.9309 0.4344 18 1 5.8666 -5.5560 1.6903 19 1 5.4751 -5.3350 -0.6927 20 1 7.7431 -5.3798 0.1644 21 6 8.5009 -0.2524 1.6217 22 6 9.5716 -0.8972 2.5261 23 6 10.5070 -1.6379 1.5373 24 6 10.5652 -0.6694 0.3299 25 6 9.1321 -0.1080 0.2258 26 6 4.0637 2.8665 -0.1628 27 8 4.5125 3.3523 0.8483 28 8 4.0118 3.5926 -1.2906 29 6 4.5131 4.9535 -1.2220 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 1.8934 -0.5138 -0.8900 34 1 1.8934 -0.5137 0.8900 35 1 2.0258 3.1447 1.3204 36 1 0.5786 2.1147 1.4329 37 1 2.1150 1.5716 2.1490 38 1 3.6985 0.6417 1.8027 39 1 5.3651 -1.4290 2.2463 40 1 6.1336 0.0749 2.8085 41 1 4.4689 -2.8627 -0.0719 42 1 8.2252 0.7279 2.0101 43 1 10.1227 -0.1305 3.0707 44 1 9.1118 -1.6023 3.2185 45 1 10.0772 -2.5957 1.2438 46 1 11.4981 -1.7770 1.9690 47 1 10.8306 -1.2087 -0.5793 48 1 11.2771 0.1345 0.5171 49 1 8.5591 -0.6800 -0.5041 50 1 9.1627 0.9425 -0.0632 51 1 4.4136 5.4270 -2.1988 52 1 3.9389 5.5155 -0.4853 53 1 5.5633 4.9397 -0.9306 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 ZINC000151119923.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 06:09:19 Heat of formation + Delta-G solvation = -108.859968 kcal Electronic energy + Delta-G solvation = -32746.398038 eV Core-core repulsion = 28618.715257 eV Total energy + Delta-G solvation = -4127.682781 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -40.48470 -38.56537 -37.66375 -36.51534 -35.99314 -33.84163 -32.76208 -30.85025 -30.04905 -28.35367 -27.76093 -27.45116 -26.59667 -25.82728 -23.99789 -22.56182 -20.89617 -20.11409 -19.73411 -19.19704 -18.94547 -17.35421 -16.85120 -16.30168 -16.23967 -15.79310 -15.45106 -15.07285 -14.52589 -14.33648 -14.15317 -14.05236 -13.76954 -13.38805 -13.12359 -13.04295 -12.95746 -12.63962 -12.49100 -12.17135 -12.13692 -11.97566 -11.77581 -11.41002 -11.19153 -11.02777 -10.91575 -10.79138 -10.67944 -10.59711 -10.56961 -10.43497 -10.32715 -10.27748 -10.18047 -10.14253 -9.98962 -9.84019 -9.57195 -9.44812 -8.71504 -8.27867 -8.19336 -6.69043 -5.74040 -3.09764 2.50483 2.89225 3.40370 3.48264 3.48542 4.05794 4.35355 4.58455 4.74251 4.88323 4.96963 5.16897 5.24115 5.26772 5.37088 5.39880 5.40249 5.48789 5.53784 5.58251 5.60140 5.63485 5.69519 5.81111 5.85960 5.95857 6.03296 6.08658 6.19478 6.21694 6.33343 6.38990 6.41261 6.44260 6.49950 6.54543 6.60438 6.62505 6.64991 6.74172 6.82116 6.95286 6.97390 7.12500 7.24999 7.28273 7.56556 7.94038 8.06240 8.39507 8.59559 9.24382 9.70667 9.92777 10.38425 11.35664 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010413 B = 0.004559 C = 0.003480 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2688.350984 B = 6140.825503 C = 8044.435331 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 -0.113 4.113 3 C -0.089 4.089 4 H 0.084 0.916 5 C -0.153 4.153 6 C 0.169 3.831 7 H 0.116 0.884 8 N -0.725 5.725 9 C 0.532 3.468 10 O -0.521 6.521 11 C 0.168 3.832 12 N -0.563 5.563 13 C -0.241 4.241 14 H 0.080 0.920 15 C 0.000 4.000 16 N -0.898 5.898 17 Si 0.902 3.098 18 H -0.291 1.291 19 H -0.295 1.295 20 H -0.282 1.282 21 C 0.174 3.826 22 C -0.131 4.131 23 C -0.120 4.120 24 C -0.121 4.121 25 C -0.126 4.126 26 C 0.453 3.547 27 O -0.504 6.504 28 O -0.362 6.362 29 C 0.036 3.964 30 H 0.053 0.947 31 H 0.050 0.950 32 H 0.053 0.947 33 H 0.070 0.930 34 H 0.073 0.927 35 H 0.052 0.948 36 H 0.062 0.938 37 H 0.061 0.939 38 H 0.392 0.608 39 H 0.100 0.900 40 H 0.034 0.966 41 H 0.251 0.749 42 H 0.046 0.954 43 H 0.047 0.953 44 H 0.069 0.931 45 H 0.074 0.926 46 H 0.045 0.955 47 H 0.051 0.949 48 H 0.047 0.953 49 H 0.086 0.914 50 H 0.038 0.962 51 H 0.096 0.904 52 H 0.058 0.942 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.329 9.479 1.428 11.487 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 -0.150 4.150 3 C -0.108 4.108 4 H 0.103 0.897 5 C -0.210 4.210 6 C 0.060 3.940 7 H 0.134 0.866 8 N -0.382 5.382 9 C 0.319 3.681 10 O -0.393 6.393 11 C 0.037 3.963 12 N -0.281 5.281 13 C -0.370 4.370 14 H 0.098 0.902 15 C -0.198 4.198 16 N -0.543 5.543 17 Si 0.733 3.267 18 H -0.218 1.218 19 H -0.221 1.221 20 H -0.208 1.208 21 C 0.066 3.934 22 C -0.171 4.171 23 C -0.157 4.157 24 C -0.158 4.158 25 C -0.165 4.165 26 C 0.294 3.706 27 O -0.390 6.390 28 O -0.279 6.279 29 C -0.058 4.058 30 H 0.072 0.928 31 H 0.069 0.931 32 H 0.073 0.927 33 H 0.088 0.912 34 H 0.092 0.908 35 H 0.071 0.929 36 H 0.081 0.919 37 H 0.080 0.920 38 H 0.227 0.773 39 H 0.118 0.882 40 H 0.052 0.948 41 H 0.061 0.939 42 H 0.064 0.936 43 H 0.066 0.934 44 H 0.087 0.913 45 H 0.093 0.907 46 H 0.064 0.936 47 H 0.070 0.930 48 H 0.066 0.934 49 H 0.105 0.895 50 H 0.057 0.943 51 H 0.115 0.885 52 H 0.076 0.924 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -5.819 9.609 0.881 11.268 hybrid contribution -0.254 -0.698 -0.020 0.744 sum -6.073 8.910 0.861 10.817 Atomic orbital electron populations 1.21819 0.96065 1.01542 1.01391 1.21483 0.95081 0.94591 1.03880 1.21359 0.91707 0.98408 0.99285 0.89740 1.21944 1.01587 1.00415 0.97041 1.20254 0.92873 0.85014 0.95889 0.86614 1.46173 1.21725 1.55974 1.14294 1.22234 0.78849 0.75085 0.91967 1.90515 1.62159 1.58127 1.28505 1.20486 0.88694 0.96467 0.90673 1.43941 1.00666 1.09770 1.73716 1.19292 0.95791 0.86988 1.34918 0.90248 1.24888 0.97821 0.97846 0.99208 1.69809 1.04869 1.32990 1.46680 0.86281 0.77258 0.86170 0.76966 1.21807 1.22139 1.20766 1.20940 0.87565 0.91893 0.92969 1.22778 0.97255 0.99043 0.97999 1.22524 0.97750 0.99504 0.95954 1.22293 0.97724 0.97968 0.97858 1.22559 0.94499 0.99034 1.00407 1.24940 0.75199 0.89629 0.80817 1.90598 1.42254 1.71967 1.34222 1.86540 1.76245 1.26537 1.38530 1.23170 0.99660 0.80015 1.02984 0.92773 0.93053 0.92740 0.91152 0.90815 0.92871 0.91889 0.91997 0.77337 0.88210 0.94785 0.93879 0.93591 0.93410 0.91261 0.90704 0.93646 0.93019 0.93426 0.89540 0.94331 0.88526 0.92354 0.92130 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.54 9.69 37.16 0.36 -1.18 16 2 C -0.11 -1.43 5.14 -26.73 -0.14 -1.56 16 3 C -0.09 -1.12 2.21 -90.62 -0.20 -1.32 16 4 H 0.08 0.97 8.14 -51.93 -0.42 0.55 16 5 C -0.15 -1.75 8.53 37.16 0.32 -1.43 16 6 C 0.17 2.82 2.23 -69.08 -0.15 2.67 16 7 H 0.12 2.22 7.58 -51.93 -0.39 1.82 16 8 N -0.72 -13.21 3.99 -54.93 -0.22 -13.43 16 9 C 0.53 12.04 5.89 -10.99 -0.06 11.97 16 10 O -0.52 -13.85 15.55 5.55 0.09 -13.76 16 11 C 0.17 3.77 5.32 -5.19 -0.03 3.74 16 12 N -0.56 -13.40 1.91 -165.75 -0.32 -13.72 16 13 C -0.24 -6.19 8.17 -15.06 -0.12 -6.31 16 14 H 0.08 2.04 5.09 -52.48 -0.27 1.77 16 15 C 0.00 0.00 4.96 -17.43 -0.09 -0.09 16 16 N -0.90 -23.89 9.02 55.49 0.50 -23.39 16 17 Si 0.90 21.31 29.58 -169.99 -5.03 16.29 16 18 H -0.29 -6.83 7.11 56.52 0.40 -6.43 16 19 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 20 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 21 C 0.17 3.73 3.42 -66.81 -0.23 3.50 16 22 C -0.13 -2.45 6.06 -25.03 -0.15 -2.60 16 23 C -0.12 -2.16 6.52 -24.70 -0.16 -2.32 16 24 C -0.12 -2.19 6.83 -25.07 -0.17 -2.36 16 25 C -0.13 -2.70 6.24 -25.61 -0.16 -2.86 16 26 C 0.45 7.91 6.06 36.01 0.22 8.12 16 27 O -0.50 -9.72 15.92 -18.75 -0.30 -10.02 16 28 O -0.36 -5.72 10.57 -39.26 -0.41 -6.13 16 29 C 0.04 0.43 10.56 101.05 1.07 1.50 16 30 H 0.05 0.50 6.61 -51.93 -0.34 0.16 16 31 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 33 H 0.07 1.01 8.14 -51.93 -0.42 0.58 16 34 H 0.07 1.02 7.67 -51.93 -0.40 0.62 16 35 H 0.05 0.66 6.95 -51.93 -0.36 0.30 16 36 H 0.06 0.60 6.61 -51.93 -0.34 0.26 16 37 H 0.06 0.72 6.50 -51.93 -0.34 0.38 16 38 H 0.39 6.27 6.68 -40.82 -0.27 6.00 16 39 H 0.10 2.35 6.56 -51.93 -0.34 2.01 16 40 H 0.03 0.69 8.06 -51.93 -0.42 0.27 16 41 H 0.25 6.65 8.31 -40.82 -0.34 6.31 16 42 H 0.05 0.98 7.90 -51.93 -0.41 0.57 16 43 H 0.05 0.79 8.14 -51.93 -0.42 0.37 16 44 H 0.07 1.35 7.97 -51.93 -0.41 0.93 16 45 H 0.07 1.48 5.91 -51.93 -0.31 1.18 16 46 H 0.04 0.71 8.14 -51.93 -0.42 0.29 16 47 H 0.05 0.92 8.14 -51.93 -0.42 0.49 16 48 H 0.05 0.77 8.14 -51.93 -0.42 0.35 16 49 H 0.09 2.22 7.34 -51.93 -0.38 1.84 16 50 H 0.04 0.81 8.14 -51.93 -0.42 0.38 16 51 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 52 H 0.06 0.64 8.13 -51.93 -0.42 0.22 16 53 H 0.06 0.78 8.13 -51.93 -0.42 0.36 16 LS Contribution 409.10 15.07 6.17 6.17 Total: -1.00 -30.95 409.10 -8.42 -39.38 By element: Atomic # 1 Polarization: 18.34 SS G_CDS: -9.19 Total: 9.15 kcal Atomic # 6 Polarization: 9.17 SS G_CDS: 0.30 Total: 9.47 kcal Atomic # 7 Polarization: -50.50 SS G_CDS: -0.04 Total: -50.54 kcal Atomic # 8 Polarization: -29.28 SS G_CDS: -0.63 Total: -29.91 kcal Atomic # 14 Polarization: 21.31 SS G_CDS: -5.03 Total: 16.29 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -30.95 -8.42 -39.38 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. ZINC000151119923.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 -69.480 kcal (2) G-P(sol) polarization free energy of solvation -30.955 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.435 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.425 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.380 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.860 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds