Wall clock time and date at job start Tue Mar 31 2020 22:54:38 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 1.52996 * 1 3 3 C 1.52999 * 109.47132 * 2 1 4 4 C 1.50702 * 109.54361 * 304.96729 * 3 2 1 5 5 O 1.21285 * 119.99854 * 113.23853 * 4 3 2 6 6 N 1.34780 * 119.99743 * 293.24533 * 4 3 2 7 7 C 1.46509 * 119.99349 * 184.89783 * 6 4 3 8 8 C 1.52997 * 109.46527 * 179.97438 * 7 6 4 9 9 H 1.09003 * 109.47394 * 305.00095 * 8 7 6 10 10 C 1.54806 * 109.46653 * 185.00289 * 8 7 6 11 11 N 1.45123 * 109.53927 * 172.10707 * 10 8 7 12 12 C 1.36934 * 118.76221 * 269.29779 * 11 10 8 13 13 H 1.08004 * 120.00279 * 30.08323 * 12 11 10 14 14 C 1.38818 * 120.00070 * 210.09229 * 12 11 10 15 15 N 1.31618 * 119.99834 * 9.93389 * 14 12 11 16 16 Si 1.86804 * 119.99945 * 189.93638 * 14 12 11 17 17 H 1.48498 * 109.46856 * 94.99565 * 16 14 12 18 18 H 1.48502 * 109.46579 * 214.99587 * 16 14 12 19 19 H 1.48501 * 109.47140 * 334.99302 * 16 14 12 20 20 C 1.47511 * 122.48456 * 89.29320 * 11 10 8 21 21 C 1.53579 * 111.02286 * 318.37707 * 20 11 10 22 22 C 1.51539 * 109.58436 * 320.01686 * 21 20 11 23 23 O 1.38019 * 109.47118 * 64.99793 * 8 7 6 24 24 C 1.53172 * 109.54468 * 65.14495 * 3 2 1 25 25 C 1.53286 * 109.06242 * 176.85328 * 24 3 2 26 26 O 1.42899 * 109.46268 * 302.44328 * 25 24 3 27 27 C 1.42906 * 114.09392 * 61.15995 * 26 25 24 28 28 C 1.53096 * 109.41609 * 298.84197 * 27 26 25 29 29 H 1.08994 * 109.47204 * 64.79932 * 1 2 3 30 30 H 1.09001 * 109.46869 * 184.79744 * 1 2 3 31 31 H 1.08995 * 109.47173 * 304.79426 * 1 2 3 32 32 H 1.08998 * 109.47070 * 239.99920 * 2 1 3 33 33 H 1.08999 * 109.47024 * 120.00022 * 2 1 3 34 34 H 0.96987 * 120.00338 * 4.89910 * 6 4 3 35 35 H 1.08997 * 109.46909 * 299.99823 * 7 6 4 36 36 H 1.08999 * 109.46837 * 60.00008 * 7 6 4 37 37 H 1.08997 * 109.46625 * 292.12817 * 10 8 7 38 38 H 1.09003 * 109.46239 * 52.09061 * 10 8 7 39 39 H 0.97002 * 120.00281 * 180.02562 * 15 14 12 40 40 H 1.08999 * 109.16868 * 197.98067 * 20 11 10 41 41 H 1.08998 * 109.16671 * 78.76697 * 20 11 10 42 42 H 1.09002 * 109.45151 * 199.98770 * 21 20 11 43 43 H 1.08996 * 109.45658 * 80.05131 * 21 20 11 44 44 H 1.09008 * 109.58387 * 331.62080 * 22 21 20 45 45 H 1.08994 * 109.58908 * 211.18543 * 22 21 20 46 46 H 1.08998 * 109.52450 * 296.84647 * 24 3 2 47 47 H 1.09007 * 109.52202 * 57.03113 * 24 3 2 48 48 H 1.09005 * 109.45251 * 182.44816 * 25 24 3 49 49 H 1.08995 * 109.46565 * 62.45126 * 25 24 3 50 50 H 1.09004 * 109.48053 * 178.86102 * 27 26 25 51 51 H 1.09000 * 109.48834 * 58.83240 * 27 26 25 52 52 H 1.08999 * 109.51827 * 297.70272 * 28 27 26 53 53 H 1.08996 * 109.57376 * 177.54760 * 28 27 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 1.4425 0.0000 4 6 1.4406 2.1891 -1.1638 5 8 0.6589 3.0949 -0.9654 6 7 1.7733 1.8501 -2.4252 7 6 1.2757 2.6431 -3.5521 8 6 1.7969 2.0498 -4.8625 9 1 2.8843 1.9835 -4.8243 10 6 1.3767 2.9584 -6.0434 11 7 2.0234 2.5032 -7.2601 12 6 3.2420 3.0302 -7.5954 13 1 3.9201 3.3579 -6.8213 14 6 3.6058 3.1434 -8.9303 15 7 2.7148 2.9307 -9.8754 16 14 5.3597 3.5976 -9.3851 17 1 6.1398 2.3609 -9.6446 18 1 5.3513 4.4429 -10.6060 19 1 5.9822 4.3500 -8.2664 20 6 1.4178 1.4940 -8.1494 21 6 0.7793 0.3570 -7.3382 22 6 1.6683 0.0119 -6.1605 23 8 1.2651 0.7887 -5.0403 24 6 1.6387 2.1278 1.3098 25 6 2.2219 3.5453 1.3321 26 8 3.6417 3.4784 1.1850 27 6 4.0738 2.8886 -0.0429 28 6 3.5669 1.4461 -0.1207 29 1 -0.3633 0.4375 -0.9298 30 1 -0.3633 -1.0241 0.0859 31 1 -0.3633 0.5864 0.8439 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 2.3420 1.0813 -2.5868 35 1 0.1858 2.6277 -3.5540 36 1 1.6244 3.6712 -3.4550 37 1 0.2948 2.9139 -6.1688 38 1 1.6760 3.9857 -5.8356 39 1 2.9690 3.0094 -10.8082 40 1 2.1891 1.0807 -8.7993 41 1 0.6523 1.9702 -8.7620 42 1 0.6619 -0.5208 -7.9737 43 1 -0.1978 0.6748 -6.9745 44 1 2.7058 0.2376 -6.4074 45 1 1.5685 -1.0477 -5.9254 46 1 0.5520 2.1776 1.3768 47 1 2.0310 1.5596 2.1533 48 1 1.9768 4.0237 2.2804 49 1 1.7983 4.1253 0.5123 50 1 5.1630 2.8940 -0.0852 51 1 3.6746 3.4599 -0.8810 52 1 3.9981 0.8642 0.6939 53 1 3.8580 1.0078 -1.0752 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 ZINC001150519155.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 22:54:38 Heat of formation + Delta-G solvation = -117.605156 kcal Electronic energy + Delta-G solvation = -32295.279776 eV Core-core repulsion = 28167.217775 eV Total energy + Delta-G solvation = -4128.062001 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -41.10630 -39.09245 -38.10294 -35.62597 -35.29902 -34.69639 -32.23135 -31.57252 -31.37296 -30.79707 -28.63538 -26.16540 -25.54434 -25.12672 -23.88179 -23.16528 -22.07822 -21.67755 -20.87993 -19.67309 -19.18580 -17.09324 -16.94756 -16.30417 -16.19996 -16.05692 -15.99296 -15.36870 -15.16327 -15.08979 -14.66225 -14.47291 -14.25770 -13.77022 -13.69589 -13.46524 -13.37632 -12.99778 -12.67766 -12.52835 -12.41906 -12.24946 -12.20860 -12.09344 -11.65486 -11.51856 -11.45558 -11.23732 -11.21281 -11.04051 -10.90451 -10.69789 -10.60689 -10.55570 -10.26490 -9.92622 -9.81253 -9.78918 -9.71992 -9.43842 -8.93690 -8.85025 -8.50278 -6.74258 -5.88075 -3.38615 2.65324 3.20569 3.29699 3.37439 3.38465 3.75679 4.11715 4.24335 4.34758 4.40030 4.50424 4.78026 4.84924 5.00807 5.04165 5.15972 5.20501 5.21268 5.31556 5.38592 5.39368 5.49293 5.55935 5.58277 5.58915 5.64382 5.66578 5.71917 5.75685 5.82405 5.86941 5.89256 5.94183 5.96470 6.02382 6.11089 6.13623 6.23374 6.31649 6.48648 6.57694 6.66586 6.71229 6.79003 7.06680 7.31948 7.56794 7.61353 7.71928 8.16326 8.26335 8.37292 9.13739 9.76512 10.24453 11.19027 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014992 B = 0.003042 C = 0.002728 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1867.217269 B = 9200.830263 C =10262.482399 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.157 4.157 2 C -0.108 4.108 3 C -0.080 4.080 4 C 0.523 3.477 5 O -0.542 6.542 6 N -0.717 5.717 7 C 0.132 3.868 8 C 0.067 3.933 9 H 0.050 0.950 10 C 0.128 3.872 11 N -0.591 5.591 12 C -0.268 4.268 13 H 0.065 0.935 14 C 0.010 3.990 15 N -0.903 5.903 16 Si 0.904 3.096 17 H -0.287 1.287 18 H -0.290 1.290 19 H -0.278 1.278 20 C 0.178 3.822 21 C -0.177 4.177 22 C 0.088 3.912 23 O -0.396 6.396 24 C -0.128 4.128 25 C 0.050 3.950 26 O -0.384 6.384 27 C 0.058 3.942 28 C -0.145 4.145 29 H 0.057 0.943 30 H 0.057 0.943 31 H 0.059 0.941 32 H 0.069 0.931 33 H 0.073 0.927 34 H 0.401 0.599 35 H 0.072 0.928 36 H 0.078 0.922 37 H 0.043 0.957 38 H 0.055 0.945 39 H 0.255 0.745 40 H 0.074 0.926 41 H 0.028 0.972 42 H 0.060 0.940 43 H 0.057 0.943 44 H 0.061 0.939 45 H 0.069 0.931 46 H 0.084 0.916 47 H 0.074 0.926 48 H 0.091 0.909 49 H 0.071 0.929 50 H 0.097 0.903 51 H 0.051 0.949 52 H 0.083 0.917 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.102 -7.032 19.165 20.445 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 -0.214 4.214 2 C -0.146 4.146 3 C -0.084 4.084 4 C 0.309 3.691 5 O -0.420 6.420 6 N -0.368 5.368 7 C 0.008 3.992 8 C 0.005 3.995 9 H 0.068 0.932 10 C -0.001 4.001 11 N -0.312 5.312 12 C -0.397 4.397 13 H 0.082 0.918 14 C -0.189 4.189 15 N -0.546 5.546 16 Si 0.733 3.267 17 H -0.214 1.214 18 H -0.216 1.216 19 H -0.203 1.203 20 C 0.053 3.947 21 C -0.216 4.216 22 C 0.012 3.988 23 O -0.315 6.315 24 C -0.166 4.166 25 C -0.026 4.026 26 O -0.303 6.303 27 C -0.019 4.019 28 C -0.182 4.182 29 H 0.076 0.924 30 H 0.076 0.924 31 H 0.078 0.922 32 H 0.088 0.912 33 H 0.092 0.908 34 H 0.236 0.764 35 H 0.090 0.910 36 H 0.096 0.904 37 H 0.061 0.939 38 H 0.073 0.927 39 H 0.065 0.935 40 H 0.092 0.908 41 H 0.046 0.954 42 H 0.079 0.921 43 H 0.076 0.924 44 H 0.079 0.921 45 H 0.087 0.913 46 H 0.102 0.898 47 H 0.093 0.907 48 H 0.109 0.891 49 H 0.089 0.911 50 H 0.115 0.885 51 H 0.069 0.931 52 H 0.101 0.899 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -1.655 -6.334 19.307 20.387 hybrid contribution 1.151 -0.233 -1.068 1.587 sum -0.504 -6.567 18.239 19.392 Atomic orbital electron populations 1.21850 0.95084 1.01872 1.02636 1.21553 0.96750 0.93376 1.02934 1.20967 0.96022 0.96786 0.94588 1.20350 0.81154 0.83630 0.83938 1.90658 1.34817 1.31304 1.85210 1.46012 1.52576 1.32584 1.05640 1.21429 0.99979 0.94411 0.83375 1.22615 0.96875 0.85553 0.94416 0.93178 1.21415 0.96052 0.95803 0.86855 1.43790 1.20600 1.44248 1.22577 1.19208 0.92331 1.37311 0.90893 0.91762 1.25169 0.97879 0.99546 0.96314 1.70027 1.32228 1.52936 0.99426 0.86260 0.84376 0.78078 0.77956 1.21406 1.21590 1.20292 1.20987 0.96749 0.86594 0.90321 1.22784 1.00009 1.00617 0.98213 1.22009 0.98950 0.92532 0.85273 1.86074 1.70010 1.28093 1.47311 1.22093 1.02378 0.96922 0.95216 1.22812 0.80666 0.96175 1.02951 1.87900 1.22281 1.81454 1.38666 1.22579 1.00106 0.92022 0.87203 1.22293 0.93418 0.98878 1.03653 0.92358 0.92363 0.92188 0.91206 0.90819 0.76441 0.90965 0.90399 0.93873 0.92663 0.93513 0.90797 0.95406 0.92147 0.92414 0.92095 0.91298 0.89754 0.90705 0.89104 0.91075 0.88525 0.93074 0.89861 0.90310 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 -0.16 -1.47 9.35 37.16 0.35 -1.12 16 2 C -0.11 -0.91 4.98 -26.73 -0.13 -1.04 16 3 C -0.08 -0.79 0.43 -155.48 -0.07 -0.86 16 4 C 0.52 6.72 3.63 -10.98 -0.04 6.68 16 5 O -0.54 -8.66 14.13 5.55 0.08 -8.59 16 6 N -0.72 -9.09 5.28 -60.29 -0.32 -9.41 16 7 C 0.13 1.95 5.34 -4.04 -0.02 1.93 16 8 C 0.07 1.13 2.68 -25.78 -0.07 1.06 16 9 H 0.05 0.90 8.14 -51.93 -0.42 0.47 16 10 C 0.13 2.58 5.12 -3.83 -0.02 2.56 16 11 N -0.59 -14.00 2.22 -172.01 -0.38 -14.38 16 12 C -0.27 -6.97 9.44 -15.06 -0.14 -7.11 16 13 H 0.06 1.65 7.85 -52.48 -0.41 1.24 16 14 C 0.01 0.27 5.00 -17.43 -0.09 0.19 16 15 N -0.90 -25.30 10.94 55.49 0.61 -24.69 16 16 Si 0.90 20.98 29.57 -169.99 -5.03 15.96 16 17 H -0.29 -6.64 7.11 56.52 0.40 -6.24 16 18 H -0.29 -6.85 7.11 56.52 0.40 -6.44 16 19 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 20 C 0.18 4.10 4.67 -3.19 -0.01 4.08 16 21 C -0.18 -3.24 5.78 -27.17 -0.16 -3.40 16 22 C 0.09 1.50 6.38 36.42 0.23 1.73 16 23 O -0.40 -6.72 9.38 -26.55 -0.25 -6.97 16 24 C -0.13 -1.27 4.25 -26.49 -0.11 -1.38 16 25 C 0.05 0.57 6.56 37.31 0.24 0.81 16 26 O -0.38 -4.65 10.77 -35.23 -0.38 -5.03 16 27 C 0.06 0.61 6.62 37.21 0.25 0.85 16 28 C -0.14 -1.27 4.81 -26.59 -0.13 -1.40 16 29 H 0.06 0.67 7.27 -51.93 -0.38 0.30 16 30 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 31 H 0.06 0.55 6.43 -51.93 -0.33 0.22 16 32 H 0.07 0.56 8.04 -51.93 -0.42 0.15 16 33 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 34 H 0.40 4.53 7.50 -40.82 -0.31 4.23 16 35 H 0.07 1.14 8.14 -51.93 -0.42 0.72 16 36 H 0.08 1.16 8.14 -51.93 -0.42 0.74 16 37 H 0.04 0.87 8.11 -51.93 -0.42 0.45 16 38 H 0.06 1.12 7.98 -51.93 -0.41 0.70 16 39 H 0.25 6.93 8.31 -40.82 -0.34 6.60 16 40 H 0.07 1.88 6.51 -51.93 -0.34 1.54 16 41 H 0.03 0.70 7.99 -51.93 -0.42 0.29 16 42 H 0.06 0.99 8.14 -51.93 -0.42 0.57 16 43 H 0.06 1.06 8.01 -51.93 -0.42 0.65 16 44 H 0.06 1.16 7.40 -51.92 -0.38 0.77 16 45 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 46 H 0.08 0.87 6.43 -51.93 -0.33 0.53 16 47 H 0.07 0.64 8.14 -51.92 -0.42 0.21 16 48 H 0.09 0.87 8.14 -51.93 -0.42 0.44 16 49 H 0.07 0.95 6.06 -51.93 -0.31 0.64 16 50 H 0.10 0.86 8.14 -51.93 -0.42 0.44 16 51 H 0.05 0.61 7.38 -51.93 -0.38 0.23 16 52 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 53 H 0.08 0.62 7.24 -51.93 -0.38 0.24 16 LS Contribution 396.72 15.07 5.98 5.98 Total: -1.00 -29.84 396.72 -9.04 -38.88 By element: Atomic # 1 Polarization: 14.10 SS G_CDS: -9.43 Total: 4.67 kcal Atomic # 6 Polarization: 3.51 SS G_CDS: 0.08 Total: 3.59 kcal Atomic # 7 Polarization: -48.39 SS G_CDS: -0.09 Total: -48.48 kcal Atomic # 8 Polarization: -20.04 SS G_CDS: -0.55 Total: -20.59 kcal Atomic # 14 Polarization: 20.98 SS G_CDS: -5.03 Total: 15.96 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -29.84 -9.04 -38.88 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. ZINC001150519155.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 -78.726 kcal (2) G-P(sol) polarization free energy of solvation -29.839 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -108.565 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.040 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.879 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.605 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds