Wall clock time and date at job start Tue Mar 31 2020 20:24:10 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 1.52999 * 109.47180 * 2 1 4 4 C 1.50706 * 109.46749 * 239.99999 * 2 1 3 5 5 H 1.07991 * 119.99962 * 241.34286 * 4 2 1 6 6 C 1.37879 * 119.99740 * 61.34734 * 4 2 1 7 7 N 1.31516 * 119.99597 * 193.97253 * 6 4 2 8 8 Si 1.86794 * 120.00230 * 13.97902 * 6 4 2 9 9 H 1.48497 * 109.47437 * 84.54563 * 8 6 4 10 10 H 1.48507 * 109.47404 * 204.54968 * 8 6 4 11 11 H 1.48508 * 109.47292 * 324.54422 * 8 6 4 12 12 C 1.53002 * 109.47071 * 120.00206 * 2 1 3 13 13 N 1.46496 * 109.47078 * 299.99364 * 12 2 1 14 14 C 1.34772 * 119.99650 * 180.02562 * 13 12 2 15 15 O 1.21348 * 120.00618 * 0.02562 * 14 13 12 16 16 C 1.49454 * 119.99694 * 180.02562 * 14 13 12 17 17 O 1.21347 * 120.00346 * 359.97438 * 16 14 13 18 18 N 1.34785 * 119.99936 * 180.02562 * 16 14 13 19 19 C 1.46498 * 119.99856 * 179.97438 * 18 16 14 20 20 C 1.53002 * 109.46950 * 180.02562 * 19 18 16 21 21 C 1.52940 * 109.40991 * 185.00019 * 20 19 18 22 22 C 1.53186 * 109.44706 * 176.90769 * 21 20 19 23 23 C 1.53142 * 108.88226 * 56.56898 * 22 21 20 24 24 C 1.52845 * 117.67877 * 91.49239 * 23 22 21 25 25 C 1.52807 * 117.75154 * 160.37169 * 23 22 21 26 26 C 1.53155 * 115.00920 * 306.05455 * 23 22 21 27 27 C 1.52936 * 109.41494 * 64.63914 * 20 19 18 28 28 H 1.09008 * 109.46567 * 309.36833 * 1 2 3 29 29 H 1.08998 * 109.47352 * 69.36335 * 1 2 3 30 30 H 1.08994 * 109.47374 * 189.36797 * 1 2 3 31 31 H 1.09000 * 109.47313 * 180.02562 * 3 2 1 32 32 H 1.09007 * 109.47379 * 299.99940 * 3 2 1 33 33 H 1.09000 * 109.47421 * 60.00147 * 3 2 1 34 34 H 0.97001 * 119.99437 * 180.02562 * 7 6 4 35 35 H 1.09002 * 109.46521 * 179.97438 * 12 2 1 36 36 H 1.08993 * 109.47198 * 60.00108 * 12 2 1 37 37 H 0.97004 * 119.99989 * 0.02562 * 13 12 2 38 38 H 0.96995 * 119.99829 * 359.97438 * 18 16 14 39 39 H 1.08995 * 109.47159 * 59.99574 * 19 18 16 40 40 H 1.09000 * 109.47150 * 299.99666 * 19 18 16 41 41 H 1.08999 * 109.35128 * 304.81679 * 20 19 18 42 42 H 1.09002 * 109.47997 * 296.89672 * 21 20 19 43 43 H 1.08996 * 109.47911 * 56.91214 * 21 20 19 44 44 H 1.08999 * 109.56583 * 176.38694 * 22 21 20 45 45 H 1.09003 * 109.56870 * 296.74397 * 22 21 20 46 46 H 1.09005 * 117.50711 * 215.21916 * 24 23 22 47 47 H 1.09006 * 117.50475 * 0.27470 * 24 23 22 48 48 H 1.09008 * 117.50124 * 359.85193 * 25 23 22 49 49 H 1.09002 * 117.50557 * 144.88589 * 25 23 22 50 50 H 1.08998 * 109.56694 * 294.12258 * 26 23 22 51 51 H 1.09002 * 109.57243 * 173.75745 * 26 23 22 52 52 H 1.09002 * 109.47269 * 303.08276 * 27 20 19 53 53 H 1.08997 * 109.47452 * 63.09068 * 27 20 19 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 6 2.0323 -0.7105 -1.2305 5 1 2.6351 -1.6010 -1.1316 6 6 1.7222 -0.2233 -2.4826 7 7 1.9156 -0.9726 -3.5460 8 14 1.0276 1.5007 -2.6684 9 1 2.1417 2.4816 -2.7084 10 1 0.2468 1.5866 -3.9287 11 1 0.1417 1.8044 -1.5158 12 6 2.0400 -0.7213 1.2492 13 7 1.5518 -0.0307 2.4454 14 6 1.8779 -0.4909 3.6694 15 8 2.5762 -1.4770 3.7808 16 6 1.3793 0.2134 4.8897 17 8 0.6814 1.1998 4.7785 18 7 1.7058 -0.2466 6.1139 19 6 1.2176 0.4441 7.3100 20 6 1.7292 -0.2761 8.5592 21 6 1.1188 0.3696 9.8040 22 6 1.5693 -0.3989 11.0502 23 6 3.0999 -0.4230 11.0912 24 6 3.8076 0.6989 11.8507 25 6 3.7713 -0.7161 12.4323 26 6 3.7732 -0.9595 9.8245 27 6 3.2540 -0.1736 8.6165 28 1 -0.3633 0.6519 0.7946 29 1 -0.3634 0.3622 -0.9617 30 1 -0.3634 -1.0139 0.1673 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9564 -0.8900 33 1 1.6768 1.9564 0.8900 34 1 1.6978 -0.6297 -4.4269 35 1 3.1300 -0.7216 1.2489 36 1 1.6767 -1.7489 1.2492 37 1 0.9939 0.7579 2.3564 38 1 2.2640 -1.0348 6.2028 39 1 0.1277 0.4435 7.3105 40 1 1.5803 1.4720 7.3096 41 1 1.4380 -1.3256 8.5158 42 1 1.4507 1.4054 9.8761 43 1 0.0315 0.3406 9.7325 44 1 1.1879 0.0972 11.9427 45 1 1.1890 -1.4195 11.0071 46 1 4.7577 1.0551 11.4523 47 1 3.1841 1.4553 12.3274 48 1 3.1239 -0.8906 13.2918 49 1 4.6974 -1.2907 12.4167 50 1 3.5336 -2.0158 9.7032 51 1 4.8532 -0.8350 9.9043 52 1 3.6807 -0.5878 7.7030 53 1 3.5446 0.8727 8.7115 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 ZINC001333047381.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 20:24:10 Heat of formation + Delta-G solvation = -58.118601 kcal Electronic energy + Delta-G solvation = -29208.368610 eV Core-core repulsion = 25273.342191 eV Total energy + Delta-G solvation = -3935.026419 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.61245 -39.87743 -38.49136 -36.82361 -36.54445 -34.10859 -33.22168 -31.50544 -31.37671 -29.46912 -26.88299 -26.37716 -25.33364 -24.80362 -23.49198 -22.95269 -22.59742 -21.03242 -20.20417 -19.41233 -19.05712 -18.22676 -16.75187 -16.11498 -16.01355 -15.78961 -15.72269 -15.59028 -15.04118 -14.94013 -14.68764 -14.21717 -14.03933 -13.81755 -13.60456 -13.36103 -13.10379 -12.91328 -12.69674 -12.65875 -12.59275 -12.23916 -12.13567 -12.03785 -11.90810 -11.55315 -11.50981 -11.43681 -11.36797 -11.06460 -10.55286 -10.48905 -10.35283 -10.33679 -10.18466 -10.08101 -9.98356 -9.45864 -9.36315 -9.13140 -8.73399 -8.69993 -8.47586 -6.16495 -4.14202 1.57745 2.50703 3.24915 3.32781 3.32883 3.39018 3.39388 3.84177 4.11781 4.21349 4.29360 4.35002 4.45092 4.56147 4.60977 4.68166 4.78176 4.90187 5.05842 5.07398 5.14376 5.22144 5.23987 5.31876 5.39126 5.46502 5.49560 5.55474 5.63532 5.66381 5.69123 5.70536 5.74496 5.81722 5.97547 5.98460 6.00699 6.03846 6.12603 6.34455 6.40381 6.47849 6.57260 6.60553 6.67673 6.89504 7.03749 7.17275 7.39075 7.57989 7.69433 7.88122 8.23963 8.42605 8.87847 9.47313 10.96278 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.033339 B = 0.001849 C = 0.001813 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 839.645569 B =15140.875216 C =15438.409199 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C 0.028 3.972 3 C -0.150 4.150 4 C -0.514 4.514 5 H 0.077 0.923 6 C 0.076 3.924 7 N -0.890 5.890 8 Si 0.884 3.116 9 H -0.285 1.285 10 H -0.305 1.305 11 H -0.248 1.248 12 C 0.138 3.862 13 N -0.687 5.687 14 C 0.497 3.503 15 O -0.531 6.531 16 C 0.507 3.493 17 O -0.522 6.522 18 N -0.704 5.704 19 C 0.121 3.879 20 C -0.098 4.098 21 C -0.108 4.108 22 C -0.080 4.080 23 C -0.122 4.122 24 C -0.175 4.175 25 C -0.178 4.178 26 C -0.081 4.081 27 C -0.115 4.115 28 H 0.024 0.976 29 H 0.058 0.942 30 H 0.048 0.952 31 H 0.054 0.946 32 H 0.043 0.957 33 H 0.031 0.969 34 H 0.265 0.735 35 H 0.069 0.931 36 H 0.070 0.930 37 H 0.409 0.591 38 H 0.412 0.588 39 H 0.072 0.928 40 H 0.072 0.928 41 H 0.080 0.920 42 H 0.067 0.933 43 H 0.067 0.933 44 H 0.064 0.936 45 H 0.068 0.932 46 H 0.092 0.908 47 H 0.092 0.908 48 H 0.092 0.908 49 H 0.092 0.908 50 H 0.068 0.932 51 H 0.064 0.936 52 H 0.067 0.933 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.187 2.798 31.004 31.130 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 -0.202 4.202 2 C 0.026 3.974 3 C -0.207 4.207 4 C -0.551 4.551 5 H 0.095 0.905 6 C -0.127 4.127 7 N -0.526 5.526 8 Si 0.717 3.283 9 H -0.213 1.213 10 H -0.233 1.233 11 H -0.174 1.174 12 C 0.017 3.983 13 N -0.339 5.339 14 C 0.277 3.723 15 O -0.408 6.408 16 C 0.288 3.712 17 O -0.398 6.398 18 N -0.358 5.358 19 C -0.002 4.002 20 C -0.117 4.117 21 C -0.146 4.146 22 C -0.117 4.117 23 C -0.122 4.122 24 C -0.212 4.212 25 C -0.215 4.215 26 C -0.118 4.118 27 C -0.152 4.152 28 H 0.043 0.957 29 H 0.076 0.924 30 H 0.067 0.933 31 H 0.073 0.927 32 H 0.061 0.939 33 H 0.050 0.950 34 H 0.075 0.925 35 H 0.087 0.913 36 H 0.088 0.912 37 H 0.246 0.754 38 H 0.249 0.751 39 H 0.090 0.910 40 H 0.090 0.910 41 H 0.098 0.902 42 H 0.086 0.914 43 H 0.086 0.914 44 H 0.083 0.917 45 H 0.086 0.914 46 H 0.111 0.889 47 H 0.110 0.890 48 H 0.110 0.890 49 H 0.111 0.889 50 H 0.087 0.913 51 H 0.083 0.917 52 H 0.085 0.915 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 0.169 2.779 30.764 30.890 hybrid contribution -0.244 0.998 -0.249 1.057 sum -0.075 3.778 30.516 30.749 Atomic orbital electron populations 1.22318 0.97660 0.99977 1.00244 1.18751 0.92717 0.92376 0.93516 1.22381 1.01232 0.98222 0.98869 1.20669 1.34245 1.12355 0.87871 0.90455 1.24962 0.94612 0.97315 0.95776 1.69949 1.48038 1.35891 0.98729 0.87307 0.79429 0.85497 0.76093 1.21305 1.23346 1.17423 1.21724 0.99007 0.96047 0.81565 1.46197 1.50823 1.31529 1.05321 1.19972 0.82293 0.85180 0.84877 1.90740 1.37576 1.25790 1.86740 1.20441 0.81081 0.84694 0.85022 1.90751 1.36652 1.25494 1.86892 1.45779 1.52910 1.32287 1.04836 1.21523 0.99474 0.96532 0.82676 1.21381 0.96031 1.00637 0.93652 1.21471 1.00168 0.99797 0.93153 1.21121 0.92078 1.00701 0.97792 1.21519 0.94653 1.03217 0.92848 1.23019 1.02328 0.91766 1.04042 1.22992 1.02666 0.99179 0.96669 1.21141 0.99035 0.99494 0.92179 1.21611 0.94429 1.01174 0.98013 0.95700 0.92363 0.93318 0.92689 0.93892 0.94956 0.92522 0.91268 0.91166 0.75397 0.75113 0.90952 0.90971 0.90185 0.91402 0.91398 0.91709 0.91364 0.88936 0.88978 0.88965 0.88912 0.91319 0.91692 0.91455 0.91467 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.14 -2.99 7.53 37.16 0.28 -2.71 16 2 C 0.03 0.60 0.50 -155.66 -0.08 0.52 16 3 C -0.15 -3.09 7.52 37.16 0.28 -2.81 16 4 C -0.51 -13.62 8.62 -34.44 -0.30 -13.92 16 5 H 0.08 2.23 7.99 -52.49 -0.42 1.81 16 6 C 0.08 2.11 5.32 -17.82 -0.09 2.01 16 7 N -0.89 -26.38 13.96 55.43 0.77 -25.61 16 8 Si 0.88 21.14 22.79 -169.99 -3.87 17.27 16 9 H -0.29 -6.81 7.10 56.52 0.40 -6.40 16 10 H -0.30 -7.45 7.11 56.52 0.40 -7.05 16 11 H -0.25 -5.45 4.65 56.52 0.26 -5.19 16 12 C 0.14 2.72 4.49 -4.04 -0.02 2.70 16 13 N -0.69 -11.77 5.00 -60.73 -0.30 -12.07 16 14 C 0.50 8.16 7.89 -11.59 -0.09 8.06 16 15 O -0.53 -9.62 16.48 5.50 0.09 -9.53 16 16 C 0.51 7.25 7.89 -11.58 -0.09 7.15 16 17 O -0.52 -8.49 16.48 5.50 0.09 -8.40 16 18 N -0.70 -7.57 5.24 -60.73 -0.32 -7.89 16 19 C 0.12 1.04 5.06 -4.04 -0.02 1.02 16 20 C -0.10 -0.62 2.14 -90.68 -0.19 -0.82 16 21 C -0.11 -0.60 5.21 -26.67 -0.14 -0.74 16 22 C -0.08 -0.43 5.67 -26.56 -0.15 -0.58 16 23 C -0.12 -0.71 1.97 -154.53 -0.31 -1.02 16 24 C -0.17 -1.00 9.93 -26.80 -0.27 -1.26 16 25 C -0.18 -0.99 9.99 -26.82 -0.27 -1.25 16 26 C -0.08 -0.49 5.67 -26.56 -0.15 -0.64 16 27 C -0.11 -0.75 5.11 -26.67 -0.14 -0.89 16 28 H 0.02 0.44 7.13 -51.92 -0.37 0.07 16 29 H 0.06 1.28 4.30 -51.93 -0.22 1.05 16 30 H 0.05 0.98 8.12 -51.93 -0.42 0.56 16 31 H 0.05 1.11 8.14 -51.93 -0.42 0.69 16 32 H 0.04 0.93 2.25 -51.92 -0.12 0.82 16 33 H 0.03 0.57 6.86 -51.93 -0.36 0.21 16 34 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 35 H 0.07 1.40 8.14 -51.93 -0.42 0.97 16 36 H 0.07 1.43 8.14 -51.93 -0.42 1.01 16 37 H 0.41 6.74 5.73 -40.82 -0.23 6.50 16 38 H 0.41 4.03 7.10 -40.82 -0.29 3.74 16 39 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 41 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 42 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 43 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 44 H 0.06 0.32 8.09 -51.93 -0.42 -0.10 16 45 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 46 H 0.09 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.09 0.49 8.14 -51.93 -0.42 0.07 16 48 H 0.09 0.47 8.14 -51.92 -0.42 0.04 16 49 H 0.09 0.49 8.14 -51.93 -0.42 0.07 16 50 H 0.07 0.42 8.14 -51.93 -0.42 -0.01 16 51 H 0.06 0.39 8.09 -51.93 -0.42 -0.03 16 52 H 0.07 0.48 7.08 -51.93 -0.37 0.11 16 53 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 LS Contribution 402.50 15.07 6.07 6.07 Total: -1.00 -30.30 402.50 -8.47 -38.77 By element: Atomic # 1 Polarization: 15.82 SS G_CDS: -9.25 Total: 6.57 kcal Atomic # 6 Polarization: -3.42 SS G_CDS: -1.74 Total: -5.16 kcal Atomic # 7 Polarization: -45.73 SS G_CDS: 0.15 Total: -45.58 kcal Atomic # 8 Polarization: -18.11 SS G_CDS: 0.18 Total: -17.93 kcal Atomic # 14 Polarization: 21.14 SS G_CDS: -3.87 Total: 17.27 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -30.30 -8.47 -38.77 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. ZINC001333047381.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 -19.347 kcal (2) G-P(sol) polarization free energy of solvation -30.300 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -49.647 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.471 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.772 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.119 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds