Wall clock time and date at job start Sat Apr 11 2020 06:13:24 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 1.52992 * 1 3 3 C 1.53001 * 109.47250 * 2 1 4 4 C 1.52999 * 109.47301 * 180.02562 * 3 2 1 5 5 C 1.52997 * 109.47064 * 180.02562 * 4 3 2 6 6 H 1.08999 * 109.47372 * 55.00286 * 5 4 3 7 7 N 1.46500 * 109.46816 * 294.99547 * 5 4 3 8 8 C 1.34771 * 120.00540 * 300.00059 * 7 5 4 9 9 N 1.34772 * 120.00228 * 180.02562 * 8 7 5 10 10 O 1.21592 * 119.99676 * 359.97438 * 8 7 5 11 11 C 1.50709 * 109.46981 * 174.99815 * 5 4 3 12 12 O 1.21285 * 119.99886 * 99.99465 * 11 5 4 13 13 N 1.34775 * 119.99882 * 280.27817 * 11 5 4 14 14 C 1.46920 * 120.63051 * 354.38500 * 13 11 5 15 15 C 1.53619 * 108.54284 * 126.37482 * 14 13 11 16 16 C 1.53046 * 109.24430 * 54.85428 * 15 14 13 17 17 C 1.53036 * 109.53400 * 298.51414 * 16 15 14 18 18 C 1.46925 * 120.62578 * 174.67323 * 13 11 5 19 19 H 1.09002 * 109.58954 * 113.79776 * 18 13 11 20 20 C 1.52993 * 109.59141 * 353.50850 * 18 13 11 21 21 N 1.46499 * 109.47351 * 73.06370 * 20 18 13 22 22 C 1.36935 * 120.00223 * 174.78074 * 21 20 18 23 23 H 1.07999 * 120.00150 * 0.02562 * 22 21 20 24 24 C 1.38819 * 119.99801 * 179.97438 * 22 21 20 25 25 N 1.31620 * 120.00212 * 359.97438 * 24 22 21 26 26 Si 1.86801 * 119.99604 * 179.97438 * 24 22 21 27 27 H 1.48498 * 109.47528 * 0.02562 * 26 24 22 28 28 H 1.48500 * 109.46722 * 120.00289 * 26 24 22 29 29 H 1.48503 * 109.46987 * 239.99950 * 26 24 22 30 30 H 1.09007 * 109.47564 * 179.97438 * 1 2 3 31 31 H 1.08999 * 109.47234 * 299.99875 * 1 2 3 32 32 H 1.09001 * 109.47518 * 60.00079 * 1 2 3 33 33 H 1.08999 * 109.47234 * 240.00125 * 2 1 3 34 34 H 1.09003 * 109.47436 * 120.00460 * 2 1 3 35 35 H 1.09001 * 109.46858 * 60.00464 * 3 2 1 36 36 H 1.08992 * 109.46959 * 300.00198 * 3 2 1 37 37 H 1.08999 * 109.47430 * 59.99974 * 4 3 2 38 38 H 1.09003 * 109.47190 * 300.00340 * 4 3 2 39 39 H 0.97000 * 119.99414 * 120.01006 * 7 5 4 40 40 H 0.96998 * 120.00256 * 0.02562 * 9 8 7 41 41 H 0.97003 * 119.99921 * 180.02562 * 9 8 7 42 42 H 1.09002 * 109.58983 * 246.20470 * 14 13 11 43 43 H 1.08997 * 109.58868 * 6.63249 * 14 13 11 44 44 H 1.08998 * 109.63543 * 294.86317 * 15 14 13 45 45 H 1.09001 * 109.43528 * 174.72123 * 15 14 13 46 46 H 1.09001 * 109.45980 * 178.49248 * 16 15 14 47 47 H 1.08996 * 109.44550 * 58.52599 * 16 15 14 48 48 H 1.08998 * 109.49985 * 301.40714 * 17 16 15 49 49 H 1.09005 * 109.49690 * 181.31170 * 17 16 15 50 50 H 1.09005 * 109.47465 * 193.06649 * 20 18 13 51 51 H 1.09006 * 109.47300 * 313.06060 * 20 18 13 52 52 H 0.96997 * 119.99768 * 354.77201 * 21 20 18 53 53 H 0.96993 * 120.00204 * 180.02562 * 25 24 22 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 3.5700 1.4425 -0.0006 5 6 4.0799 2.8850 0.0000 6 1 3.6457 3.4235 0.8423 7 7 3.6919 3.5406 -1.2513 8 6 4.1159 3.0459 -2.4311 9 7 3.7593 3.6494 -3.5822 10 8 4.8210 2.0556 -2.4568 11 6 5.5820 2.8867 0.1233 12 8 6.2712 3.0402 -0.8629 13 7 6.1594 2.7120 1.3284 14 6 5.3417 2.6414 2.5471 15 6 5.6966 1.3499 3.2993 16 6 7.2055 1.3118 3.5522 17 6 7.9486 1.3093 2.2144 18 6 7.6190 2.5948 1.4492 19 1 8.0109 3.4544 1.9930 20 6 8.2463 2.5404 0.0548 21 7 8.1871 3.8691 -0.5595 22 6 8.7862 4.0907 -1.7707 23 1 9.3021 3.2860 -2.2733 24 6 8.7296 5.3496 -2.3530 25 7 8.0996 6.3300 -1.7412 26 14 9.5475 5.6521 -4.0050 27 1 10.1836 4.3971 -4.4797 28 1 8.5266 6.0923 -4.9895 29 1 10.5820 6.7075 -3.8592 30 1 -0.3634 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3634 0.5138 -0.8900 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8899 35 1 1.6767 1.9563 0.8900 36 1 1.6766 1.9563 -0.8899 37 1 3.9330 0.9288 -0.8908 38 1 3.9337 0.9285 0.8891 39 1 3.1298 4.3309 -1.2307 40 1 3.1978 4.4400 -3.5616 41 1 4.0642 3.2931 -4.4313 42 1 5.5517 3.5047 3.1785 43 1 4.2855 2.6310 2.2783 44 1 5.4060 0.4861 2.7014 45 1 5.1674 1.3281 4.2520 46 1 7.4576 0.4095 4.1094 47 1 7.4990 2.1887 4.1290 48 1 7.6369 0.4459 1.6266 49 1 9.0225 1.2586 2.3948 50 1 9.2862 2.2238 0.1363 51 1 7.6976 1.8296 -0.5631 52 1 7.7234 4.5917 -0.1083 53 1 8.0597 7.2095 -2.1482 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 ZINC001700346434.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 06:13:24 Heat of formation + Delta-G solvation = -24.075736 kcal Electronic energy + Delta-G solvation = -33286.688791 eV Core-core repulsion = 29194.975282 eV Total energy + Delta-G solvation = -4091.713510 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.43138 -39.01569 -36.69637 -36.13534 -34.47303 -33.65390 -33.02532 -32.40920 -31.76885 -30.20043 -29.64398 -26.89380 -25.67692 -24.20030 -22.86983 -22.49410 -21.75015 -21.10370 -20.47723 -20.06216 -18.37895 -18.15131 -16.92975 -16.74094 -16.06183 -15.72286 -15.35417 -14.89115 -14.53949 -14.42059 -14.22797 -14.04656 -13.88587 -13.73910 -13.48641 -13.45966 -13.15316 -12.95815 -12.79913 -12.56798 -12.40496 -12.11236 -11.96101 -11.56773 -11.44972 -11.23928 -11.06574 -10.94253 -10.86776 -10.77684 -10.63875 -10.60975 -10.59610 -10.45438 -10.18575 -9.73817 -9.47261 -9.37194 -9.03761 -8.99531 -8.55079 -7.89689 -7.76536 -6.35468 -5.42972 -2.60724 3.16009 3.50065 3.59736 3.65277 3.68623 3.71709 4.00035 4.70034 4.81536 4.84074 4.86213 4.92948 4.93815 4.99631 5.02455 5.16634 5.24037 5.30978 5.37084 5.40262 5.50724 5.58472 5.67392 5.69582 5.74906 5.79446 5.87334 5.88914 5.91453 5.95317 5.98466 6.06643 6.13006 6.13303 6.18307 6.27369 6.28591 6.46886 6.50970 6.68258 6.82024 6.85649 7.11045 7.11832 7.42258 7.46898 7.99890 8.15996 8.44517 8.75263 9.18584 9.32914 9.87239 10.49145 10.84164 11.81492 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009738 B = 0.005029 C = 0.003583 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2874.519603 B = 5566.133120 C = 7812.555452 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 -0.124 4.124 3 C -0.112 4.112 4 C -0.132 4.132 5 C 0.158 3.842 6 H 0.093 0.907 7 N -0.731 5.731 8 C 0.717 3.283 9 N -0.871 5.871 10 O -0.562 6.562 11 C 0.455 3.545 12 O -0.400 6.400 13 N -0.619 5.619 14 C 0.110 3.890 15 C -0.133 4.133 16 C -0.116 4.116 17 C -0.127 4.127 18 C 0.145 3.855 19 H 0.064 0.936 20 C 0.162 3.838 21 N -0.693 5.693 22 C -0.192 4.192 23 H 0.062 0.938 24 C -0.025 4.025 25 N -0.941 5.941 26 Si 0.898 3.102 27 H -0.284 1.284 28 H -0.298 1.298 29 H -0.298 1.298 30 H 0.050 0.950 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.061 0.939 34 H 0.060 0.940 35 H 0.057 0.943 36 H 0.061 0.939 37 H 0.094 0.906 38 H 0.069 0.931 39 H 0.394 0.606 40 H 0.389 0.611 41 H 0.410 0.590 42 H 0.061 0.939 43 H 0.077 0.923 44 H 0.065 0.935 45 H 0.067 0.933 46 H 0.059 0.941 47 H 0.061 0.939 48 H 0.065 0.935 49 H 0.070 0.930 50 H 0.012 0.988 51 H 0.039 0.961 52 H 0.378 0.622 53 H 0.245 0.755 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.487 -9.704 10.711 21.925 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 -0.162 4.162 3 C -0.149 4.149 4 C -0.170 4.170 5 C 0.047 3.953 6 H 0.111 0.889 7 N -0.387 5.387 8 C 0.415 3.585 9 N -0.439 5.439 10 O -0.437 6.437 11 C 0.236 3.764 12 O -0.263 6.263 13 N -0.359 5.359 14 C -0.014 4.014 15 C -0.172 4.172 16 C -0.154 4.154 17 C -0.166 4.166 18 C 0.042 3.958 19 H 0.082 0.918 20 C 0.034 3.966 21 N -0.336 5.336 22 C -0.325 4.325 23 H 0.080 0.920 24 C -0.218 4.218 25 N -0.594 5.594 26 Si 0.731 3.269 27 H -0.210 1.210 28 H -0.226 1.226 29 H -0.226 1.226 30 H 0.070 0.930 31 H 0.071 0.929 32 H 0.071 0.929 33 H 0.079 0.921 34 H 0.078 0.922 35 H 0.075 0.925 36 H 0.080 0.920 37 H 0.112 0.888 38 H 0.087 0.913 39 H 0.227 0.773 40 H 0.216 0.784 41 H 0.242 0.758 42 H 0.079 0.921 43 H 0.096 0.904 44 H 0.084 0.916 45 H 0.085 0.915 46 H 0.078 0.922 47 H 0.080 0.920 48 H 0.083 0.917 49 H 0.089 0.911 50 H 0.030 0.970 51 H 0.056 0.944 52 H 0.212 0.788 53 H 0.055 0.945 Dipole moment (debyes) X Y Z Total from point charges -15.368 -10.541 10.063 21.179 hybrid contribution -0.231 1.288 -0.993 1.643 sum -15.600 -9.253 9.070 20.279 Atomic orbital electron populations 1.21767 0.96168 1.01303 1.01588 1.21510 0.95437 0.97174 1.02044 1.21546 0.95185 0.96535 1.01653 1.21975 0.95206 0.95339 1.04495 1.20690 0.93890 0.94823 0.85855 0.88914 1.44609 1.56718 1.33134 1.04267 1.15726 0.79179 0.83189 0.80377 1.42904 1.58951 1.34171 1.07846 1.90940 1.39496 1.27481 1.85785 1.20776 0.90057 0.81162 0.84366 1.91291 1.60516 1.39127 1.35396 1.47935 1.06175 1.76079 1.05706 1.21696 0.95263 0.97288 0.87151 1.21993 0.96766 0.98405 1.00019 1.21481 0.94951 1.01617 0.97345 1.21905 1.00209 0.98567 0.95908 1.21395 0.79756 0.96246 0.98437 0.91762 1.20829 0.95108 0.91291 0.89337 1.42164 1.64057 1.05780 1.21567 1.19200 1.23260 0.94170 0.95839 0.92013 1.24517 1.02482 0.96382 0.98462 1.69673 1.49375 1.01305 1.39000 0.86191 0.78446 0.77182 0.85039 1.20977 1.22595 1.22586 0.93041 0.92899 0.92923 0.92050 0.92162 0.92465 0.92017 0.88757 0.91260 0.77350 0.78423 0.75823 0.92105 0.90433 0.91614 0.91477 0.92215 0.91983 0.91667 0.91140 0.97021 0.94390 0.78805 0.94531 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 -0.15 -1.19 9.91 37.15 0.37 -0.82 16 2 C -0.12 -1.15 5.93 -26.73 -0.16 -1.31 16 3 C -0.11 -1.11 5.10 -26.73 -0.14 -1.25 16 4 C -0.13 -1.69 4.30 -26.73 -0.11 -1.80 16 5 C 0.16 2.26 2.16 -69.08 -0.15 2.11 16 6 H 0.09 1.05 6.55 -51.93 -0.34 0.71 16 7 N -0.73 -10.81 4.66 -59.81 -0.28 -11.09 16 8 C 0.72 13.00 7.59 -86.93 -0.66 12.34 16 9 N -0.87 -12.57 8.88 27.63 0.25 -12.33 16 10 O -0.56 -12.78 13.03 -18.21 -0.24 -13.02 16 11 C 0.45 8.63 6.30 -10.98 -0.07 8.57 16 12 O -0.40 -9.88 7.40 -17.94 -0.13 -10.02 16 13 N -0.62 -10.00 2.97 -164.96 -0.49 -10.49 16 14 C 0.11 1.25 5.89 -3.49 -0.02 1.23 16 15 C -0.13 -1.30 6.10 -26.39 -0.16 -1.46 16 16 C -0.12 -1.24 5.88 -26.69 -0.16 -1.40 16 17 C -0.13 -1.75 5.35 -26.61 -0.14 -1.89 16 18 C 0.15 2.57 2.90 -67.60 -0.20 2.37 16 19 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 20 C 0.16 3.74 4.90 -4.05 -0.02 3.72 16 21 N -0.69 -19.28 3.20 -59.91 -0.19 -19.47 16 22 C -0.19 -5.95 9.73 -15.06 -0.15 -6.10 16 23 H 0.06 1.93 7.83 -52.49 -0.41 1.52 16 24 C -0.02 -0.78 5.50 -17.43 -0.10 -0.87 16 25 N -0.94 -30.34 13.06 55.49 0.72 -29.62 16 26 Si 0.90 24.59 29.55 -169.99 -5.02 19.56 16 27 H -0.28 -7.65 7.11 56.52 0.40 -7.25 16 28 H -0.30 -8.18 7.11 56.52 0.40 -7.78 16 29 H -0.30 -8.10 7.11 56.52 0.40 -7.70 16 30 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.05 0.38 8.14 -51.93 -0.42 -0.05 16 32 H 0.05 0.42 8.14 -51.93 -0.42 -0.01 16 33 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 34 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 35 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 36 H 0.06 0.66 7.75 -51.93 -0.40 0.26 16 37 H 0.09 1.59 6.04 -51.93 -0.31 1.27 16 38 H 0.07 0.82 7.29 -51.93 -0.38 0.44 16 39 H 0.39 4.59 8.84 -40.82 -0.36 4.23 16 40 H 0.39 4.26 8.84 -40.82 -0.36 3.90 16 41 H 0.41 5.78 8.93 -40.82 -0.36 5.42 16 42 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 43 H 0.08 0.74 5.07 -51.93 -0.26 0.48 16 44 H 0.07 0.68 8.05 -51.93 -0.42 0.26 16 45 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 46 H 0.06 0.56 8.14 -51.93 -0.42 0.13 16 47 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 48 H 0.06 0.94 8.14 -51.93 -0.42 0.52 16 49 H 0.07 0.93 8.14 -51.93 -0.42 0.50 16 50 H 0.01 0.28 8.09 -51.93 -0.42 -0.14 16 51 H 0.04 0.99 6.36 -51.93 -0.33 0.66 16 52 H 0.38 11.16 7.22 -40.82 -0.29 10.87 16 53 H 0.24 7.67 8.31 -40.82 -0.34 7.33 16 LS Contribution 402.62 15.07 6.07 6.07 Total: -1.00 -39.27 402.62 -10.46 -49.73 By element: Atomic # 1 Polarization: 26.54 SS G_CDS: -9.29 Total: 17.25 kcal Atomic # 6 Polarization: 15.28 SS G_CDS: -1.86 Total: 13.42 kcal Atomic # 7 Polarization: -83.01 SS G_CDS: 0.01 Total: -83.00 kcal Atomic # 8 Polarization: -22.66 SS G_CDS: -0.37 Total: -23.03 kcal Atomic # 14 Polarization: 24.59 SS G_CDS: -5.02 Total: 19.56 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -39.27 -10.46 -49.73 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. ZINC001700346434.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 25.657 kcal (2) G-P(sol) polarization free energy of solvation -39.269 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -13.612 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.464 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -49.733 kcal (6) G-S(sol) free energy of system = (1) + (5) -24.076 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds