Wall clock time and date at job start Tue Mar 31 2020 23:47:26 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 1.53000 * 1 3 3 H 1.08993 * 109.49241 * 2 1 4 4 C 1.53092 * 109.48050 * 120.02899 * 2 1 3 5 5 C 1.53180 * 109.16498 * 177.58926 * 4 2 1 6 6 H 1.08994 * 109.54021 * 62.97487 * 5 4 2 7 7 C 1.50697 * 109.54560 * 183.15351 * 5 4 2 8 8 O 1.21282 * 120.00287 * 20.18707 * 7 5 4 9 9 N 1.34775 * 120.00198 * 200.18901 * 7 5 4 10 10 C 1.46925 * 120.63509 * 184.53465 * 9 7 5 11 11 C 1.53186 * 108.78007 * 233.58692 * 10 9 7 12 12 C 1.53041 * 109.31098 * 305.36662 * 11 10 9 13 13 N 1.46502 * 109.45770 * 181.38484 * 12 11 10 14 14 C 1.36940 * 120.00102 * 299.96842 * 13 12 11 15 15 H 1.08005 * 119.99625 * 34.81723 * 14 13 12 16 16 C 1.38806 * 120.00413 * 214.82141 * 14 13 12 17 17 N 1.31629 * 119.99939 * 29.24835 * 16 14 13 18 18 Si 1.86800 * 120.00445 * 209.24951 * 16 14 13 19 19 H 1.48497 * 109.47335 * 180.02562 * 18 16 14 20 20 H 1.48499 * 109.46829 * 299.99876 * 18 16 14 21 21 H 1.48501 * 109.46976 * 59.99823 * 18 16 14 22 22 C 1.46500 * 120.00381 * 119.97576 * 13 12 11 23 23 C 1.53009 * 109.46729 * 275.32611 * 22 13 12 24 24 O 1.42902 * 109.47078 * 64.99571 * 23 22 13 25 25 C 1.53039 * 109.52772 * 61.37337 * 12 11 10 26 26 C 1.46930 * 120.62651 * 4.51631 * 9 7 5 27 27 C 1.53173 * 109.10710 * 303.06568 * 5 4 2 28 28 C 1.53102 * 109.16071 * 56.84650 * 27 5 4 29 29 O 1.42899 * 109.47829 * 239.96921 * 2 1 3 30 30 H 1.08998 * 109.46978 * 299.97165 * 1 2 3 31 31 H 1.08997 * 109.47333 * 59.97088 * 1 2 3 32 32 H 1.08995 * 109.47186 * 179.97438 * 1 2 3 33 33 H 1.08998 * 109.52399 * 57.68562 * 4 2 1 34 34 H 1.09004 * 109.52378 * 297.49780 * 4 2 1 35 35 H 1.09002 * 109.58384 * 113.79675 * 10 9 7 36 36 H 1.09001 * 109.69728 * 353.44941 * 10 9 7 37 37 H 1.09000 * 109.50299 * 185.41106 * 11 10 9 38 38 H 1.09009 * 109.49663 * 65.31196 * 11 10 9 39 39 H 1.08999 * 109.45883 * 301.35479 * 12 11 10 40 40 H 0.96998 * 119.99320 * 5.32403 * 17 16 14 41 41 H 1.08996 * 109.46998 * 35.32013 * 22 13 12 42 42 H 1.08993 * 109.47396 * 155.32798 * 22 13 12 43 43 H 1.08990 * 109.47172 * 184.99443 * 23 22 13 44 44 H 1.09000 * 109.46872 * 304.99990 * 23 22 13 45 45 H 0.96698 * 114.00084 * 179.97438 * 24 23 22 46 46 H 1.08997 * 109.50245 * 58.57511 * 25 12 11 47 47 H 1.09005 * 109.49858 * 178.67877 * 25 12 11 48 48 H 1.09008 * 109.58575 * 246.19783 * 26 9 7 49 49 H 1.08998 * 109.58850 * 6.48328 * 26 9 7 50 50 H 1.09007 * 109.52470 * 176.83875 * 27 5 4 51 51 H 1.08999 * 109.52499 * 297.02449 * 27 5 4 52 52 H 1.08998 * 109.48718 * 182.49644 * 28 27 5 53 53 H 1.08999 * 109.41601 * 62.51118 * 28 27 5 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 1 1.8937 1.0275 0.0000 4 6 2.0405 -0.7223 1.2496 5 6 3.5711 -0.7710 1.2122 6 1 3.9690 0.2433 1.2424 7 6 4.0800 -1.5477 2.3991 8 8 3.3432 -2.3133 2.9839 9 7 5.3538 -1.3916 2.8107 10 6 5.8938 -2.2133 3.9025 11 6 6.4849 -1.2876 4.9704 12 6 7.5089 -0.3543 4.3205 13 7 8.1005 0.5101 5.3448 14 6 7.3034 1.3510 6.0748 15 1 6.3022 1.0480 6.3437 16 6 7.7821 2.5928 6.4691 17 7 8.6811 3.2147 5.7358 18 14 7.1507 3.3815 8.0402 19 1 7.8137 4.6958 8.2355 20 1 5.6823 3.5786 7.9396 21 1 7.4536 2.4974 9.1943 22 6 9.5447 0.4751 5.5881 23 6 9.8709 -0.6622 6.5583 24 8 9.5602 -1.9151 5.9453 25 6 6.8161 0.5085 3.2633 26 6 6.2291 -0.3968 2.1758 27 6 4.0194 -1.4589 -0.0809 28 6 3.4307 -0.7094 -1.2790 29 8 2.0065 -0.6742 -1.1664 30 1 -0.3633 0.5134 0.8902 31 1 -0.3634 0.5143 -0.8897 32 1 -0.3633 -1.0276 -0.0005 33 1 1.6443 -1.7375 1.2710 34 1 1.7148 -0.1843 2.1399 35 1 6.6735 -2.8690 3.5151 36 1 5.0958 -2.8133 4.3400 37 1 6.9740 -1.8852 5.7397 38 1 5.6877 -0.6959 5.4207 39 1 8.2926 -0.9471 3.8489 40 1 8.9520 2.8427 4.8820 41 1 10.0679 0.3104 4.6462 42 1 9.8635 1.4237 6.0199 43 1 10.9313 -0.6333 6.8086 44 1 9.2798 -0.5456 7.4667 45 1 9.7427 -2.6826 6.5046 46 1 6.0159 1.0830 3.7298 47 1 7.5411 1.1894 2.8172 48 1 7.0363 -0.9044 1.6476 49 1 5.6513 0.2019 1.4717 50 1 5.1078 -1.4473 -0.1413 51 1 3.6644 -2.4895 -0.0872 52 1 3.7099 -1.2204 -2.2005 53 1 3.8192 0.3088 -1.2960 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 ZINC001098512184.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 23:47:26 Heat of formation + Delta-G solvation = -122.682836 kcal Electronic energy + Delta-G solvation = -32068.770584 eV Core-core repulsion = 27940.488398 eV Total energy + Delta-G solvation = -4128.282186 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.37 seconds Orbital eigenvalues (eV) -40.58425 -39.03889 -37.62698 -36.32961 -34.87937 -33.91724 -32.99409 -32.05253 -30.63118 -30.32941 -28.14677 -27.67216 -25.42359 -24.39624 -23.36344 -22.83297 -22.50049 -21.04151 -20.43908 -19.79558 -18.69649 -17.39288 -16.82974 -16.59465 -16.46022 -16.20547 -15.54559 -15.19627 -15.01396 -14.67000 -14.29471 -14.05799 -13.91223 -13.77959 -13.56716 -13.43007 -13.16224 -12.94975 -12.76422 -12.61375 -12.49621 -12.29129 -12.08240 -11.97810 -11.66238 -11.43065 -11.33907 -11.22941 -10.93232 -10.83800 -10.78466 -10.66000 -10.53436 -10.50532 -10.08647 -10.04250 -9.90341 -9.76984 -9.47758 -9.32169 -9.18972 -8.40747 -8.32071 -6.83730 -6.10984 -3.35261 2.74887 3.16701 3.45347 3.48436 3.56666 3.66004 4.41280 4.48267 4.53347 4.58637 4.71372 4.90860 4.97012 4.97635 5.06334 5.10344 5.19699 5.22421 5.30069 5.36955 5.42775 5.46553 5.52391 5.53759 5.60365 5.67334 5.74149 5.79569 5.84148 5.88913 5.94618 5.97729 6.05034 6.06032 6.14414 6.16027 6.24641 6.34523 6.36894 6.55205 6.67398 6.81076 6.84382 7.03670 7.04045 7.13911 7.18094 7.62476 8.09648 8.18249 8.33961 8.54867 9.10432 9.79744 10.27895 11.10462 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013652 B = 0.003114 C = 0.002821 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2050.484710 B = 8989.159332 C = 9922.334626 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C 0.086 3.914 3 H 0.059 0.941 4 C -0.130 4.130 5 C -0.111 4.111 6 H 0.095 0.905 7 C 0.520 3.480 8 O -0.549 6.549 9 N -0.602 5.602 10 C 0.114 3.886 11 C -0.132 4.132 12 C 0.189 3.811 13 N -0.583 5.583 14 C -0.346 4.346 15 H 0.050 0.950 16 C -0.018 4.018 17 N -0.903 5.903 18 Si 1.054 2.946 19 H -0.286 1.286 20 H -0.293 1.293 21 H -0.294 1.294 22 C 0.142 3.858 23 C 0.058 3.942 24 O -0.568 6.568 25 C -0.139 4.139 26 C 0.107 3.893 27 C -0.144 4.144 28 C 0.065 3.935 29 O -0.381 6.381 30 H 0.072 0.928 31 H 0.062 0.938 32 H 0.064 0.936 33 H 0.083 0.917 34 H 0.077 0.923 35 H 0.060 0.940 36 H 0.082 0.918 37 H 0.072 0.928 38 H 0.061 0.939 39 H 0.052 0.948 40 H 0.268 0.732 41 H 0.031 0.969 42 H 0.092 0.908 43 H 0.024 0.976 44 H 0.043 0.957 45 H 0.358 0.642 46 H 0.070 0.930 47 H 0.066 0.934 48 H 0.063 0.937 49 H 0.076 0.924 50 H 0.079 0.921 51 H 0.077 0.923 52 H 0.097 0.903 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.054 -7.710 -10.977 14.717 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 -0.201 4.201 2 C 0.029 3.971 3 H 0.077 0.923 4 C -0.169 4.169 5 C -0.132 4.132 6 H 0.113 0.887 7 C 0.308 3.692 8 O -0.427 6.427 9 N -0.334 5.334 10 C -0.008 4.008 11 C -0.172 4.172 12 C 0.082 3.918 13 N -0.303 5.303 14 C -0.475 4.475 15 H 0.068 0.932 16 C -0.222 4.222 17 N -0.542 5.542 18 Si 0.884 3.116 19 H -0.212 1.212 20 H -0.220 1.220 21 H -0.221 1.221 22 C 0.015 3.985 23 C -0.022 4.022 24 O -0.371 6.371 25 C -0.179 4.179 26 C -0.017 4.017 27 C -0.182 4.182 28 C -0.012 4.012 29 O -0.300 6.300 30 H 0.091 0.909 31 H 0.081 0.919 32 H 0.083 0.917 33 H 0.102 0.898 34 H 0.095 0.905 35 H 0.079 0.921 36 H 0.100 0.900 37 H 0.091 0.909 38 H 0.080 0.920 39 H 0.071 0.929 40 H 0.079 0.921 41 H 0.049 0.951 42 H 0.109 0.891 43 H 0.042 0.958 44 H 0.061 0.939 45 H 0.203 0.797 46 H 0.089 0.911 47 H 0.084 0.916 48 H 0.081 0.919 49 H 0.095 0.905 50 H 0.098 0.902 51 H 0.096 0.904 52 H 0.115 0.885 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges -6.556 -6.448 -10.267 13.783 hybrid contribution 0.375 -1.458 -0.096 1.508 sum -6.181 -7.906 -10.363 14.426 Atomic orbital electron populations 1.21750 0.92878 1.03053 1.02429 1.22131 0.95257 0.94941 0.84818 0.92302 1.22080 0.93188 1.03180 0.98408 1.21391 0.97501 1.00504 0.93836 0.88674 1.20425 0.81388 0.82584 0.84798 1.90651 1.55693 1.38998 1.57403 1.48156 1.11403 1.37999 1.35886 1.21670 0.98095 0.93385 0.87693 1.22235 0.99744 0.97921 0.97271 1.20190 0.92930 0.90429 0.88261 1.43844 1.02373 1.44855 1.39200 1.19749 0.99634 0.96836 1.31290 0.93198 1.25779 0.99794 0.92740 1.03839 1.70813 1.34239 1.37127 1.12038 0.83676 0.75556 0.76050 0.76298 1.21173 1.21981 1.22117 1.21037 0.85686 0.96141 0.95623 1.23062 0.96072 0.85088 0.97993 1.86554 1.89415 1.15656 1.45473 1.22352 1.01054 0.98215 0.96244 1.21922 0.93407 0.90314 0.96020 1.22149 1.01588 1.00948 0.93495 1.22537 0.81126 0.99620 0.97879 1.87922 1.20843 1.78089 1.43136 0.90935 0.91864 0.91717 0.89803 0.90470 0.92133 0.89951 0.90938 0.92042 0.92945 0.92115 0.95099 0.89059 0.95819 0.93855 0.79735 0.91125 0.91555 0.91857 0.90545 0.90200 0.90420 0.88522 0.92912 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 -0.14 -1.27 9.56 37.16 0.36 -0.92 16 2 C 0.09 0.89 3.26 -26.68 -0.09 0.81 16 3 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 4 C -0.13 -1.57 4.24 -26.59 -0.11 -1.68 16 5 C -0.11 -1.36 1.76 -91.59 -0.16 -1.52 16 6 H 0.10 1.09 6.32 -51.93 -0.33 0.76 16 7 C 0.52 8.20 6.86 -10.99 -0.08 8.12 16 8 O -0.55 -10.44 15.40 5.56 0.09 -10.36 16 9 N -0.60 -9.33 2.97 -172.77 -0.51 -9.84 16 10 C 0.11 1.87 6.43 -3.71 -0.02 1.84 16 11 C -0.13 -2.48 5.30 -26.61 -0.14 -2.62 16 12 C 0.19 3.73 1.96 -67.89 -0.13 3.60 16 13 N -0.58 -13.38 2.16 -165.61 -0.36 -13.74 16 14 C -0.35 -8.95 8.15 -15.06 -0.12 -9.08 16 15 H 0.05 1.36 6.93 -52.48 -0.36 1.00 16 16 C -0.02 -0.49 4.70 -17.43 -0.08 -0.57 16 17 N -0.90 -25.25 12.24 55.49 0.68 -24.58 16 18 Si 1.05 24.36 30.01 -169.99 -5.10 19.26 16 19 H -0.29 -6.73 7.11 56.52 0.40 -6.32 16 20 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 21 H -0.29 -6.61 7.11 56.52 0.40 -6.21 16 22 C 0.14 3.11 5.18 -4.04 -0.02 3.09 16 23 C 0.06 1.08 7.39 37.16 0.27 1.36 16 24 O -0.57 -9.72 12.20 -35.23 -0.43 -10.15 16 25 C -0.14 -2.52 5.30 -26.61 -0.14 -2.66 16 26 C 0.11 1.50 5.80 -3.71 -0.02 1.48 16 27 C -0.14 -1.47 5.31 -26.59 -0.14 -1.61 16 28 C 0.07 0.60 6.84 37.21 0.25 0.85 16 29 O -0.38 -4.29 10.41 -35.23 -0.37 -4.66 16 30 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 31 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 32 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 33 H 0.08 1.13 7.79 -51.93 -0.40 0.72 16 34 H 0.08 0.95 8.14 -51.93 -0.42 0.52 16 35 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 36 H 0.08 1.41 7.01 -51.93 -0.36 1.05 16 37 H 0.07 1.40 7.61 -51.93 -0.40 1.01 16 38 H 0.06 1.32 7.04 -51.92 -0.37 0.95 16 39 H 0.05 1.04 7.60 -51.93 -0.39 0.64 16 40 H 0.27 7.54 7.44 -40.82 -0.30 7.23 16 41 H 0.03 0.66 8.03 -51.93 -0.42 0.24 16 42 H 0.09 2.24 5.61 -51.93 -0.29 1.95 16 43 H 0.02 0.40 8.14 -51.93 -0.42 -0.03 16 44 H 0.04 0.87 8.14 -51.93 -0.42 0.45 16 45 H 0.36 4.44 9.12 45.56 0.42 4.85 16 46 H 0.07 1.48 7.71 -51.93 -0.40 1.08 16 47 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 48 H 0.06 0.80 8.14 -51.92 -0.42 0.38 16 49 H 0.08 0.91 5.34 -51.93 -0.28 0.63 16 50 H 0.08 0.73 7.57 -51.93 -0.39 0.34 16 51 H 0.08 0.88 8.14 -51.93 -0.42 0.46 16 52 H 0.10 0.72 8.14 -51.93 -0.42 0.30 16 53 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 LS Contribution 401.74 15.07 6.05 6.05 Total: -1.00 -30.95 401.74 -8.90 -39.85 By element: Atomic # 1 Polarization: 16.24 SS G_CDS: -8.58 Total: 7.67 kcal Atomic # 6 Polarization: 0.86 SS G_CDS: -0.38 Total: 0.48 kcal Atomic # 7 Polarization: -47.96 SS G_CDS: -0.19 Total: -48.15 kcal Atomic # 8 Polarization: -24.45 SS G_CDS: -0.71 Total: -25.16 kcal Atomic # 14 Polarization: 24.36 SS G_CDS: -5.10 Total: 19.26 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -30.95 -8.90 -39.85 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. ZINC001098512184.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 -82.833 kcal (2) G-P(sol) polarization free energy of solvation -30.945 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.778 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.905 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.850 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.683 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.38 seconds