Wall clock time and date at job start Tue Mar 31 2020 20:33:05 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 1.32872 * 1 3 3 C 1.47117 * 120.00257 * 2 1 4 4 C 1.50707 * 119.99921 * 0.02562 * 3 2 1 5 5 C 1.32867 * 119.99999 * 180.02562 * 3 2 1 6 6 C 1.50701 * 119.99651 * 174.25723 * 5 3 2 7 7 C 1.50706 * 109.46611 * 236.62117 * 6 5 3 8 8 O 1.21281 * 119.99802 * 0.02562 * 7 6 5 9 9 N 1.34775 * 119.99760 * 179.97438 * 7 6 5 10 10 C 1.46497 * 119.99982 * 179.97438 * 9 7 6 11 11 C 1.53000 * 109.47354 * 180.02562 * 10 9 7 12 12 C 1.52998 * 109.46274 * 60.02791 * 11 10 9 13 13 O 1.42896 * 109.47200 * 299.97836 * 12 11 10 14 14 C 1.42896 * 114.00454 * 179.97438 * 13 12 11 15 15 C 1.53043 * 109.46104 * 180.02562 * 11 10 9 16 16 C 1.53194 * 109.31292 * 58.65553 * 15 11 10 17 17 N 1.46923 * 108.77671 * 54.63644 * 16 15 11 18 18 C 1.36933 * 120.63239 * 126.36956 * 17 16 15 19 19 H 1.08003 * 120.00027 * 331.20111 * 18 17 16 20 20 C 1.38814 * 120.00193 * 150.92612 * 18 17 16 21 21 N 1.31624 * 119.99516 * 347.16453 * 20 18 17 22 22 Si 1.86797 * 120.00089 * 167.15864 * 20 18 17 23 23 H 1.48497 * 109.47041 * 0.02562 * 22 20 18 24 24 H 1.48499 * 109.46846 * 119.99998 * 22 20 18 25 25 H 1.48497 * 109.47394 * 239.99842 * 22 20 18 26 26 C 1.46925 * 118.73537 * 306.64075 * 17 16 15 27 27 C 1.52758 * 109.01051 * 53.31432 * 26 17 16 28 28 H 1.08004 * 119.99566 * 359.97438 * 1 2 3 29 29 H 1.07995 * 120.00241 * 180.02562 * 1 2 3 30 30 H 1.07995 * 119.99568 * 180.02562 * 2 1 3 31 31 H 1.08997 * 109.46900 * 264.88261 * 4 3 2 32 32 H 1.09001 * 109.46740 * 24.87682 * 4 3 2 33 33 H 1.08999 * 109.47338 * 144.87641 * 4 3 2 34 34 H 1.07997 * 120.00138 * 354.25072 * 5 3 2 35 35 H 1.08999 * 109.47573 * 116.62593 * 6 5 3 36 36 H 1.08994 * 109.47716 * 356.62078 * 6 5 3 37 37 H 0.97001 * 120.00404 * 0.02562 * 9 7 6 38 38 H 1.09001 * 109.46997 * 60.00326 * 10 9 7 39 39 H 1.08998 * 109.47598 * 300.00708 * 10 9 7 40 40 H 1.09005 * 109.46599 * 59.97455 * 12 11 10 41 41 H 1.08993 * 109.47350 * 179.97438 * 12 11 10 42 42 H 1.08998 * 109.47456 * 179.97438 * 14 13 12 43 43 H 1.09002 * 109.46636 * 299.99894 * 14 13 12 44 44 H 1.09002 * 109.47237 * 59.99250 * 14 13 12 45 45 H 1.08997 * 109.49958 * 298.70317 * 15 11 10 46 46 H 1.09000 * 109.52544 * 178.61856 * 15 11 10 47 47 H 1.08999 * 109.58498 * 294.84617 * 16 15 11 48 48 H 1.08998 * 109.70436 * 174.49234 * 16 15 11 49 49 H 0.97003 * 119.99710 * 180.02562 * 21 20 18 50 50 H 1.09011 * 109.58802 * 173.14396 * 26 17 16 51 51 H 1.09003 * 109.59107 * 293.56976 * 26 17 16 52 52 H 1.08999 * 109.56845 * 185.55279 * 27 26 17 53 53 H 1.08996 * 109.38866 * 65.51001 * 27 26 17 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 1.3287 0.0000 0.0000 3 6 2.0644 1.2740 0.0000 4 6 1.3109 2.5792 0.0006 5 6 3.3930 1.2740 -0.0005 6 6 4.1465 2.5726 -0.1311 7 6 5.0741 2.4980 -1.3165 8 8 5.1186 1.4898 -1.9892 9 7 5.8535 3.5520 -1.6296 10 6 6.7557 3.4793 -2.7815 11 6 7.5206 4.7977 -2.9143 12 6 8.3359 5.0443 -1.6433 13 8 7.4563 5.1154 -0.5194 14 6 8.1204 5.3440 0.7250 15 6 8.4625 4.7217 -4.1181 16 6 7.6459 4.4411 -5.3835 17 7 6.5944 5.4603 -5.5035 18 6 6.4608 6.1930 -6.6525 19 1 7.3244 6.3913 -7.2700 20 6 5.2144 6.6763 -7.0266 21 7 4.1294 6.2293 -6.4305 22 14 5.0772 7.9609 -8.3758 23 1 6.4330 8.2939 -8.8819 24 1 4.2522 7.4244 -9.4879 25 1 4.4373 9.1849 -7.8307 26 6 5.6928 5.6825 -4.3648 27 6 6.5278 5.9454 -3.1129 28 1 -0.5399 0.9354 0.0004 29 1 -0.5400 -0.9352 0.0004 30 1 1.8686 -0.9353 -0.0004 31 1 1.2082 2.9399 -1.0228 32 1 0.3220 2.4276 0.4333 33 1 1.8573 3.3140 0.5918 34 1 3.9330 0.3434 0.0928 35 1 4.7274 2.7483 0.7743 36 1 3.4397 3.3900 -0.2737 37 1 5.8177 4.3585 -1.0918 38 1 6.1752 3.3029 -3.6871 39 1 7.4628 2.6623 -2.6383 40 1 9.0424 4.2266 -1.5006 41 1 8.8812 5.9833 -1.7379 42 1 7.3841 5.3853 1.5276 43 1 8.8222 4.5322 0.9167 44 1 8.6617 6.2890 0.6798 45 1 9.1841 3.9192 -3.9654 46 1 8.9900 5.6692 -4.2283 47 1 7.1908 3.4531 -5.3131 48 1 8.2961 4.4824 -6.2573 49 1 3.2584 6.5667 -6.6922 50 1 5.0563 6.5444 -4.5655 51 1 5.0752 4.7978 -4.2096 52 1 5.8723 6.0137 -2.2447 53 1 7.0730 6.8816 -3.2317 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 ZINC001162418629.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 20:33:05 Heat of formation + Delta-G solvation = -29.638090 kcal Electronic energy + Delta-G solvation = -30724.842243 eV Core-core repulsion = 26791.050832 eV Total energy + Delta-G solvation = -3933.791411 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.04 seconds Orbital eigenvalues (eV) -39.98611 -38.69210 -37.12436 -36.80548 -34.44104 -32.99807 -32.41191 -30.88862 -29.94419 -28.91432 -27.66643 -27.02221 -26.00425 -25.11535 -23.84584 -22.26845 -21.27036 -20.85751 -19.79389 -18.37698 -17.84033 -17.13772 -16.46717 -16.24060 -15.85675 -15.77616 -15.59421 -15.19255 -14.70385 -14.55384 -14.18810 -13.79248 -13.74598 -13.51894 -13.34243 -13.24705 -12.88738 -12.81367 -12.72367 -12.34429 -12.21310 -11.90509 -11.66397 -11.57956 -11.45308 -11.39579 -11.19918 -10.89337 -10.87656 -10.73163 -10.53702 -10.52211 -10.21244 -10.15307 -9.87759 -9.74425 -9.51290 -9.44514 -9.37875 -8.52356 -8.40485 -8.21365 -6.60430 -5.74811 -3.20298 1.31978 2.96145 3.05949 3.38031 3.45692 3.47584 3.50874 3.94107 4.50978 4.65594 4.83243 4.97721 5.03249 5.08412 5.19220 5.24059 5.28525 5.30321 5.33000 5.42532 5.43903 5.46894 5.52941 5.54207 5.58300 5.62604 5.69982 5.70965 5.73922 5.82973 5.97187 6.05030 6.08638 6.25833 6.32594 6.41034 6.42655 6.44607 6.62821 6.65793 6.66883 6.74013 6.85209 6.91852 6.93774 7.02579 7.11875 7.43201 7.74785 7.82189 8.05754 8.49315 8.69961 9.25227 9.87590 10.44524 11.32970 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009230 B = 0.003481 C = 0.002780 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3032.733711 B = 8041.909786 C =10068.493231 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.194 4.194 2 C -0.111 4.111 3 C -0.114 4.114 4 C -0.124 4.124 5 C -0.112 4.112 6 C -0.117 4.117 7 C 0.511 3.489 8 O -0.550 6.550 9 N -0.709 5.709 10 C 0.133 3.867 11 C -0.059 4.059 12 C 0.072 3.928 13 O -0.391 6.391 14 C 0.033 3.967 15 C -0.119 4.119 16 C 0.143 3.857 17 N -0.591 5.591 18 C -0.251 4.251 19 H 0.065 0.935 20 C 0.002 3.998 21 N -0.902 5.902 22 Si 0.903 3.097 23 H -0.278 1.278 24 H -0.290 1.290 25 H -0.290 1.290 26 C 0.170 3.830 27 C -0.125 4.125 28 H 0.101 0.899 29 H 0.098 0.902 30 H 0.113 0.887 31 H 0.071 0.929 32 H 0.065 0.935 33 H 0.068 0.932 34 H 0.116 0.884 35 H 0.098 0.902 36 H 0.101 0.899 37 H 0.408 0.592 38 H 0.083 0.917 39 H 0.053 0.947 40 H 0.045 0.955 41 H 0.050 0.950 42 H 0.082 0.918 43 H 0.037 0.963 44 H 0.039 0.961 45 H 0.054 0.946 46 H 0.065 0.935 47 H 0.022 0.978 48 H 0.055 0.945 49 H 0.253 0.747 50 H 0.089 0.911 51 H 0.021 0.979 52 H 0.054 0.946 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.448 -4.822 18.266 19.049 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 -0.231 4.231 2 C -0.129 4.129 3 C -0.114 4.114 4 C -0.180 4.180 5 C -0.131 4.131 6 C -0.157 4.157 7 C 0.296 3.704 8 O -0.428 6.428 9 N -0.365 5.365 10 C 0.009 3.991 11 C -0.059 4.059 12 C -0.004 4.004 13 O -0.309 6.309 14 C -0.063 4.063 15 C -0.159 4.159 16 C 0.016 3.984 17 N -0.314 5.314 18 C -0.380 4.380 19 H 0.083 0.917 20 C -0.196 4.196 21 N -0.547 5.547 22 Si 0.733 3.267 23 H -0.203 1.203 24 H -0.217 1.217 25 H -0.217 1.217 26 C 0.044 3.956 27 C -0.164 4.164 28 H 0.120 0.880 29 H 0.117 0.883 30 H 0.131 0.869 31 H 0.089 0.911 32 H 0.083 0.917 33 H 0.087 0.913 34 H 0.134 0.866 35 H 0.116 0.884 36 H 0.119 0.881 37 H 0.249 0.751 38 H 0.101 0.899 39 H 0.071 0.929 40 H 0.063 0.937 41 H 0.068 0.932 42 H 0.101 0.899 43 H 0.056 0.944 44 H 0.058 0.942 45 H 0.072 0.928 46 H 0.084 0.916 47 H 0.040 0.960 48 H 0.074 0.926 49 H 0.063 0.937 50 H 0.107 0.893 51 H 0.039 0.961 52 H 0.073 0.927 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges 2.124 -5.478 17.706 18.656 hybrid contribution 0.263 1.026 -0.350 1.116 sum 2.387 -4.451 17.356 18.076 Atomic orbital electron populations 1.24382 0.95726 1.01921 1.01024 1.21851 0.95281 0.96076 0.99672 1.20539 0.93945 0.94337 1.02588 1.20905 0.99969 0.94504 1.02647 1.22761 0.93840 0.97767 0.98689 1.20783 0.98749 0.98296 0.97849 1.20387 0.80767 0.83437 0.85765 1.90683 1.67964 1.31410 1.52770 1.46238 1.41178 1.17776 1.31343 1.21414 0.92327 0.95896 0.89456 1.20803 0.96288 0.96152 0.92702 1.22763 0.92276 0.99731 0.85633 1.87563 1.34610 1.93341 1.15422 1.22696 0.97982 0.99313 0.86334 1.21985 0.97123 1.01263 0.95531 1.20933 0.91067 0.92185 0.94181 1.44021 1.34826 1.39778 1.12790 1.19223 0.92427 1.26189 1.00209 0.91730 1.25099 0.95467 1.00593 0.98477 1.70014 0.97078 1.43661 1.43962 0.86217 0.77569 0.81333 0.81612 1.20332 1.21729 1.21651 1.20745 0.90837 1.00847 0.83123 1.22114 0.97895 0.96007 1.00432 0.88035 0.88322 0.86945 0.91067 0.91652 0.91349 0.86636 0.88370 0.88090 0.75079 0.89906 0.92852 0.93654 0.93166 0.89903 0.94406 0.94204 0.92766 0.91623 0.96006 0.92607 0.93725 0.89337 0.96128 0.92733 0.92666 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 -0.19 -1.87 14.12 28.88 0.41 -1.46 16 2 C -0.11 -1.23 9.83 -37.83 -0.37 -1.60 16 3 C -0.11 -1.36 5.98 -102.87 -0.62 -1.97 16 4 C -0.12 -1.28 8.56 36.01 0.31 -0.97 16 5 C -0.11 -1.41 8.45 -36.16 -0.31 -1.71 16 6 C -0.12 -1.40 5.81 -29.03 -0.17 -1.57 16 7 C 0.51 8.27 7.82 -10.98 -0.09 8.18 16 8 O -0.55 -11.16 16.03 5.56 0.09 -11.07 16 9 N -0.71 -10.96 4.63 -60.29 -0.28 -11.24 16 10 C 0.13 2.26 3.80 -4.04 -0.02 2.25 16 11 C -0.06 -0.93 0.51 -154.46 -0.08 -1.00 16 12 C 0.07 0.92 4.80 37.16 0.18 1.10 16 13 O -0.39 -4.66 6.73 -35.23 -0.24 -4.90 16 14 C 0.03 0.29 11.01 101.05 1.11 1.40 16 15 C -0.12 -1.94 4.91 -26.61 -0.13 -2.07 16 16 C 0.14 2.93 6.05 -3.71 -0.02 2.91 16 17 N -0.59 -14.54 3.00 -172.58 -0.52 -15.05 16 18 C -0.25 -6.82 9.59 -15.06 -0.14 -6.96 16 19 H 0.06 1.73 7.86 -52.48 -0.41 1.31 16 20 C 0.00 0.06 5.01 -17.43 -0.09 -0.03 16 21 N -0.90 -26.25 11.03 55.49 0.61 -25.64 16 22 Si 0.90 21.69 29.57 -169.99 -5.03 16.67 16 23 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 24 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 25 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 26 C 0.17 3.98 4.79 -3.93 -0.02 3.96 16 27 C -0.13 -2.29 4.57 -26.83 -0.12 -2.41 16 28 H 0.10 0.91 6.05 -52.48 -0.32 0.60 16 29 H 0.10 0.80 8.06 -52.49 -0.42 0.37 16 30 H 0.11 1.15 8.06 -52.49 -0.42 0.73 16 31 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 32 H 0.06 0.58 6.18 -51.93 -0.32 0.26 16 33 H 0.07 0.61 6.66 -51.93 -0.35 0.27 16 34 H 0.12 1.47 8.05 -52.49 -0.42 1.05 16 35 H 0.10 0.92 8.14 -51.93 -0.42 0.50 16 36 H 0.10 1.11 5.72 -51.93 -0.30 0.81 16 37 H 0.41 5.70 4.70 -40.82 -0.19 5.51 16 38 H 0.08 1.73 4.99 -51.93 -0.26 1.47 16 39 H 0.05 0.90 8.14 -51.93 -0.42 0.47 16 40 H 0.05 0.54 8.14 -51.93 -0.42 0.11 16 41 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 42 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 44 H 0.04 0.32 8.14 -51.93 -0.42 -0.10 16 45 H 0.05 0.75 8.14 -51.93 -0.42 0.33 16 46 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 47 H 0.02 0.47 6.69 -51.93 -0.35 0.12 16 48 H 0.06 1.12 7.93 -51.93 -0.41 0.71 16 49 H 0.25 7.12 8.31 -40.82 -0.34 6.78 16 50 H 0.09 2.36 6.01 -51.92 -0.31 2.05 16 51 H 0.02 0.53 6.70 -51.93 -0.35 0.18 16 52 H 0.05 0.93 6.49 -51.93 -0.34 0.59 16 53 H 0.05 1.04 8.14 -51.93 -0.42 0.61 16 LS Contribution 405.98 15.07 6.12 6.12 Total: -1.00 -32.08 405.98 -8.36 -40.44 By element: Atomic # 1 Polarization: 15.59 SS G_CDS: -8.96 Total: 6.64 kcal Atomic # 6 Polarization: -1.81 SS G_CDS: -0.16 Total: -1.97 kcal Atomic # 7 Polarization: -51.75 SS G_CDS: -0.18 Total: -51.93 kcal Atomic # 8 Polarization: -15.82 SS G_CDS: -0.15 Total: -15.97 kcal Atomic # 14 Polarization: 21.69 SS G_CDS: -5.03 Total: 16.67 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -32.08 -8.36 -40.44 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. ZINC001162418629.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 10.803 kcal (2) G-P(sol) polarization free energy of solvation -32.082 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -21.279 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.359 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.441 kcal (6) G-S(sol) free energy of system = (1) + (5) -29.638 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds