Wall clock time and date at job start Sun Mar 7 2021 04:42:45 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 O 2 2 C 1.42904 * 1 3 3 Si 1.86305 * 109.46872 * 2 1 4 4 C 1.50696 * 109.46891 * 119.99741 * 2 1 3 5 5 C 1.38249 * 119.97382 * 245.02027 * 4 2 1 6 6 C 1.38288 * 120.11423 * 179.97438 * 5 4 2 7 7 C 1.38122 * 120.05310 * 359.77470 * 6 5 4 8 8 C 1.38757 * 119.94670 * 0.50366 * 7 6 5 9 9 O 1.35899 * 120.05939 * 179.74369 * 8 7 6 10 10 C 1.42898 * 116.99551 * 359.72517 * 9 8 7 11 11 C 1.50703 * 109.46939 * 180.02562 * 10 9 8 12 12 C 1.39559 * 120.07592 * 180.02562 * 11 10 9 13 13 C 1.47843 * 120.13965 * 0.02562 * 12 11 10 14 14 O 1.21547 * 120.00614 * 359.97438 * 13 12 11 15 15 N 1.34784 * 119.99609 * 179.72326 * 13 12 11 16 16 C 1.46499 * 119.99971 * 179.97438 * 15 13 12 17 17 H 1.09000 * 112.84831 * 336.19762 * 16 15 13 18 18 C 1.53784 * 113.61633 * 107.50076 * 16 15 13 19 19 C 1.53778 * 87.07731 * 89.11577 * 18 16 15 20 20 H 1.09004 * 113.69378 * 270.86945 * 19 18 16 21 21 C 1.52999 * 113.61100 * 139.98390 * 19 18 16 22 22 N 1.46501 * 109.47253 * 87.50050 * 21 19 18 23 23 C 1.34432 * 126.81897 * 124.70807 * 22 21 19 24 24 N 1.30834 * 108.07390 * 179.89513 * 23 22 21 25 25 C 1.33246 * 109.83018 * 0.38447 * 24 23 22 26 26 N 1.30713 * 108.94591 * 359.75928 * 25 24 23 27 27 C 1.53776 * 113.61726 * 205.00181 * 16 15 13 28 28 C 1.39593 * 119.71423 * 179.72443 * 12 11 10 29 29 C 1.37942 * 119.85214 * 0.25062 * 28 12 11 30 30 C 1.38380 * 120.14422 * 0.02562 * 29 28 12 31 31 C 1.37976 * 120.07357 * 0.25554 * 11 10 9 32 32 C 1.38165 * 119.97205 * 65.00527 * 4 2 1 33 33 H 0.96698 * 114.00045 * 60.00520 * 1 2 3 34 34 H 1.08997 * 109.47431 * 240.00039 * 2 1 3 35 35 H 1.48505 * 109.99812 * 59.99640 * 3 2 1 36 36 H 1.48494 * 109.99848 * 181.31909 * 3 2 1 37 37 H 1.08004 * 119.94134 * 359.97438 * 5 4 2 38 38 H 1.08000 * 119.97213 * 180.02562 * 6 5 4 39 39 H 1.07998 * 120.02666 * 180.27115 * 7 6 5 40 40 H 1.09008 * 109.47319 * 60.00280 * 10 9 8 41 41 H 1.09001 * 109.47414 * 299.99823 * 10 9 8 42 42 H 0.96999 * 120.00044 * 359.97438 * 15 13 12 43 43 H 1.08996 * 113.61761 * 203.66784 * 18 16 15 44 44 H 1.09003 * 113.61097 * 334.57240 * 18 16 15 45 45 H 1.09006 * 109.47412 * 207.50324 * 21 19 18 46 46 H 1.09006 * 109.47546 * 327.50261 * 21 19 18 47 47 H 1.07996 * 125.96667 * 0.04736 * 23 22 21 48 48 H 1.07997 * 125.52815 * 179.72747 * 25 24 23 49 49 H 1.09001 * 113.61142 * 25.42617 * 27 16 15 50 50 H 1.08997 * 113.61750 * 156.33781 * 27 16 15 51 51 H 1.07998 * 120.07755 * 180.23456 * 28 12 11 52 52 H 1.07999 * 119.92851 * 180.02562 * 29 28 12 53 53 H 1.07997 * 119.85630 * 179.97438 * 30 29 28 54 54 H 1.08007 * 119.92843 * 0.02562 * 31 11 10 55 55 H 1.07994 * 120.02764 * 0.04185 * 32 4 2 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0500 1.7565 0.0000 4 6 1.9313 -0.7103 1.2305 5 6 2.6383 -0.0115 2.1912 6 6 3.1001 -0.6603 3.3217 7 6 2.8519 -2.0079 3.4959 8 6 2.1475 -2.7129 2.5304 9 8 1.9064 -4.0399 2.6970 10 6 2.4127 -4.6467 3.8876 11 6 2.0519 -6.1098 3.8981 12 6 2.4400 -6.9182 4.9675 13 6 3.2056 -6.3424 6.0936 14 8 3.4987 -5.1628 6.0893 15 7 3.5741 -7.1245 7.1276 16 6 4.3332 -6.5542 8.2433 17 1 4.8840 -5.6557 7.9650 18 6 3.5104 -6.3998 9.5332 19 6 3.9525 -7.8281 9.8928 20 1 3.2843 -8.6018 9.5145 21 6 4.2936 -8.0096 11.3732 22 7 3.0778 -8.3501 12.1163 23 6 2.8885 -9.4237 12.9029 24 7 1.6739 -9.3642 13.3854 25 6 1.0573 -8.2764 12.9249 26 7 1.8765 -7.6231 12.1435 27 6 5.1828 -7.5871 9.0022 28 6 2.0968 -8.2712 4.9723 29 6 1.3815 -8.8019 3.9190 30 6 1.0047 -7.9962 2.8589 31 6 1.3412 -6.6543 2.8483 32 6 1.6846 -2.0595 1.3977 33 1 -0.3933 0.4416 -0.7651 34 1 1.7924 -0.5138 -0.8899 35 1 1.5613 2.4679 1.2085 36 1 3.5345 1.7704 -0.0321 37 1 2.8303 1.0430 2.0585 38 1 3.6519 -0.1121 4.0710 39 1 3.2089 -2.5132 4.3811 40 1 1.9758 -4.1581 4.7585 41 1 3.4971 -4.5400 3.9170 42 1 3.3367 -8.0650 7.1331 43 1 3.8986 -5.6390 10.2104 44 1 2.4385 -6.3055 9.3587 45 1 5.0229 -8.8124 11.4823 46 1 4.7119 -7.0829 11.7660 47 1 3.6134 -10.1987 13.1036 48 1 0.0448 -7.9825 13.1589 49 1 5.4612 -8.4514 8.3990 50 1 6.0283 -7.1510 9.5342 51 1 2.3908 -8.9013 5.7987 52 1 1.1149 -9.8485 3.9216 53 1 0.4451 -8.4166 2.0365 54 1 1.0438 -6.0308 2.0180 55 1 1.1326 -2.6050 0.6467 There are 77 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 77 No. of singly occupied orbitals= 1 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_14688106_4557126.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 04:42:45 Heat of formation + Delta-G solvation = 85.976282 kcal Electronic energy + Delta-G solvation = -38933.894764 eV Core-core repulsion = 33906.274779 eV Total energy + Delta-G solvation = -5027.619985 eV No. of doubly occupied orbitals = 77 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 421.183 amu Computer time = 1.58 seconds Orbital eigenvalues (eV) -42.98290 -41.95070 -41.34963 -40.37555 -39.22443 -38.88168 -37.35400 -35.56987 -34.20825 -33.39681 -32.74922 -32.17284 -32.09084 -31.18445 -29.11262 -27.96679 -26.76133 -26.69616 -25.35423 -24.40250 -23.82768 -23.22220 -22.86028 -22.41254 -21.88788 -21.78705 -20.34925 -19.12541 -18.98312 -18.42858 -18.23696 -17.64661 -17.61448 -17.31636 -17.22333 -16.80850 -16.56053 -16.34602 -16.14438 -16.08027 -15.93439 -15.57140 -15.38468 -15.36746 -15.24096 -14.78705 -14.71842 -14.63081 -14.48720 -14.31824 -14.20313 -13.99263 -13.68608 -13.56046 -13.46586 -13.27696 -13.14018 -12.86742 -12.80900 -12.48912 -12.32048 -12.27910 -12.24628 -12.18615 -11.88993 -11.75698 -11.29649 -11.02628 -10.97155 -10.79461 -10.56664 -10.41657 -10.33408 -10.06763 -10.03487 -9.88790 -9.45613 -4.95953 -0.33469 0.01191 0.17068 0.20306 0.70945 1.25899 1.45899 1.63932 1.67544 1.86903 1.91919 1.97359 2.01038 2.44899 2.66406 3.28547 3.33172 3.41729 3.45130 3.49491 3.53640 3.62163 3.65372 3.72653 3.75940 3.78562 3.81494 3.95182 3.98411 4.05429 4.10611 4.11663 4.15382 4.20334 4.23282 4.31800 4.34862 4.37553 4.41825 4.55155 4.57284 4.62118 4.68383 4.73204 4.78700 4.80782 4.84412 4.95626 5.00634 5.03825 5.09608 5.11308 5.17685 5.22705 5.27925 5.32172 5.37896 5.45408 5.49781 5.52435 5.76467 5.95731 6.17468 6.32419 6.88853 6.99402 7.13934 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.564 6.564 2 C -0.083 4.083 3 Si 0.786 3.214 4 C -0.051 4.051 5 C -0.178 4.178 6 C -0.076 4.076 7 C -0.210 4.210 8 C 0.123 3.877 9 O -0.321 6.321 10 C 0.116 3.884 11 C -0.053 4.053 12 C -0.148 4.148 13 C 0.557 3.443 14 O -0.570 6.570 15 N -0.694 5.694 16 C 0.108 3.892 17 H 0.088 0.912 18 C -0.138 4.138 19 C -0.110 4.110 20 H 0.091 0.909 21 C 0.130 3.870 22 N -0.377 5.377 23 C 0.256 3.744 24 N -0.585 5.585 25 C 0.183 3.817 26 N -0.345 5.345 27 C -0.114 4.114 28 C -0.077 4.077 29 C -0.122 4.122 30 C -0.087 4.087 31 C -0.122 4.122 32 C -0.134 4.134 33 H 0.405 0.595 34 H 0.097 0.903 35 H -0.296 1.296 36 H -0.287 1.287 37 H 0.124 0.876 38 H 0.149 0.851 39 H 0.137 0.863 40 H 0.074 0.926 41 H 0.079 0.921 42 H 0.413 0.587 43 H 0.091 0.909 44 H 0.046 0.954 45 H 0.145 0.855 46 H 0.095 0.905 47 H 0.260 0.740 48 H 0.227 0.773 49 H 0.096 0.904 50 H 0.120 0.880 51 H 0.157 0.843 52 H 0.163 0.837 53 H 0.154 0.846 54 H 0.135 0.865 55 H 0.141 0.859 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.220 -6.116 -2.606 7.874 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 O -0.374 6.374 2 C -0.192 4.192 3 Si 0.692 3.308 4 C -0.051 4.051 5 C -0.196 4.196 6 C -0.093 4.093 7 C -0.229 4.229 8 C 0.078 3.922 9 O -0.236 6.236 10 C 0.042 3.958 11 C -0.054 4.054 12 C -0.152 4.152 13 C 0.346 3.654 14 O -0.451 6.451 15 N -0.345 5.345 16 C 0.003 3.997 17 H 0.106 0.894 18 C -0.177 4.177 19 C -0.129 4.129 20 H 0.109 0.891 21 C 0.010 3.990 22 N -0.168 5.168 23 C -0.040 4.040 24 N -0.313 5.313 25 C -0.120 4.120 26 N -0.173 5.173 27 C -0.152 4.152 28 C -0.096 4.096 29 C -0.140 4.140 30 C -0.105 4.105 31 C -0.140 4.140 32 C -0.153 4.153 33 H 0.256 0.744 34 H 0.115 0.885 35 H -0.225 1.225 36 H -0.215 1.215 37 H 0.141 0.859 38 H 0.166 0.834 39 H 0.155 0.845 40 H 0.091 0.909 41 H 0.097 0.903 42 H 0.251 0.749 43 H 0.109 0.891 44 H 0.065 0.935 45 H 0.163 0.837 46 H 0.113 0.887 47 H 0.275 0.725 48 H 0.244 0.756 49 H 0.114 0.886 50 H 0.138 0.862 51 H 0.175 0.825 52 H 0.180 0.820 53 H 0.172 0.828 54 H 0.153 0.847 55 H 0.159 0.841 Dipole moment (debyes) X Y Z Total from point charges 4.660 -4.707 -1.934 6.900 hybrid contribution -0.047 -0.588 0.683 0.902 sum 4.613 -5.294 -1.251 7.133 Atomic orbital electron populations 1.86454 1.17000 1.82496 1.51428 1.24938 0.86090 1.11504 0.96714 0.94426 0.77225 0.74768 0.84431 1.19531 0.96677 0.93118 0.95763 1.21011 1.03201 0.99488 0.95912 1.21139 0.97400 0.93739 0.97060 1.21520 1.04453 0.96157 1.00759 1.19152 0.95266 0.82956 0.94860 1.85934 1.74624 1.20028 1.42980 1.21524 0.98961 0.90263 0.85014 1.19693 0.97699 0.93273 0.94764 1.19649 1.04565 0.95572 0.95375 1.18491 0.78686 0.85746 0.82497 1.90738 1.57049 1.17208 1.80103 1.45445 1.56070 1.13417 1.19564 1.21959 0.93820 0.98584 0.85332 0.89365 1.23393 0.99706 0.97654 0.96928 1.22780 0.98975 0.97388 0.93779 0.89099 1.22264 0.81697 1.05190 0.89868 1.50772 1.11861 1.17893 1.36291 1.26916 0.95463 0.92158 0.89436 1.70546 1.07439 1.23415 1.29932 1.26410 1.01601 0.90124 0.93869 1.78026 0.93619 1.21066 1.24586 1.23287 0.96363 0.99036 0.96517 1.21555 0.96129 0.92381 0.99519 1.21584 0.97479 1.01842 0.93078 1.21786 0.96926 0.92723 0.99093 1.21144 0.98170 0.96466 0.98178 1.20376 1.03344 0.94025 0.97544 0.74382 0.88486 1.22457 1.21469 0.85895 0.83374 0.84493 0.90855 0.90344 0.74899 0.89063 0.93527 0.83735 0.88693 0.72476 0.75647 0.88557 0.86160 0.82516 0.81967 0.82795 0.84748 0.84143 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 O -0.56 -1.42 12.81 -148.98 -1.91 -3.32 16 2 C -0.08 -0.20 2.79 71.23 0.20 0.00 16 3 Si 0.79 -0.05 29.85 68.60 2.05 2.00 16 4 C -0.05 -0.47 5.38 -19.88 -0.11 -0.58 16 5 C -0.18 -1.74 8.67 22.28 0.19 -1.54 16 6 C -0.08 -0.68 10.04 22.25 0.22 -0.46 16 7 C -0.21 -2.28 9.04 22.37 0.20 -2.07 16 8 C 0.12 1.47 6.69 22.51 0.15 1.62 16 9 O -0.32 -3.65 8.62 -92.41 -0.80 -4.44 16 10 C 0.12 1.17 3.38 71.24 0.24 1.41 16 11 C -0.05 -0.38 5.91 -19.61 -0.12 -0.49 16 12 C -0.15 -0.56 5.87 -20.09 -0.12 -0.68 16 13 C 0.56 3.04 7.75 86.78 0.67 3.71 16 14 O -0.57 -6.97 13.01 -3.86 -0.05 -7.02 16 15 N -0.69 1.17 5.21 -442.91 -2.31 -1.14 16 16 C 0.11 -0.28 4.32 45.52 0.20 -0.08 16 17 H 0.09 0.16 7.47 -2.39 -0.02 0.15 16 18 C -0.14 0.21 7.43 31.12 0.23 0.44 16 19 C -0.11 0.86 3.73 -10.27 -0.04 0.82 16 20 H 0.09 -0.59 8.14 -2.38 -0.02 -0.61 16 21 C 0.13 -1.21 6.39 86.38 0.55 -0.66 16 22 N -0.38 0.60 3.69 -352.05 -1.30 -0.70 16 23 C 0.26 -0.59 12.63 180.36 2.28 1.69 16 24 N -0.59 -3.08 11.19 -204.00 -2.28 -5.36 16 25 C 0.18 0.94 13.03 180.76 2.36 3.30 16 26 N -0.34 -1.91 12.57 -61.24 -0.77 -2.68 16 27 C -0.11 1.19 7.39 31.12 0.23 1.42 16 28 C -0.08 0.21 9.54 22.53 0.21 0.43 16 29 C -0.12 0.48 10.03 22.23 0.22 0.70 16 30 C -0.09 0.11 10.04 22.33 0.22 0.33 16 31 C -0.12 -0.51 9.37 22.23 0.21 -0.31 16 32 C -0.13 -1.42 9.62 22.37 0.22 -1.21 16 33 H 0.40 -3.56 8.74 -74.06 -0.65 -4.21 16 34 H 0.10 -0.19 7.96 -2.39 -0.02 -0.21 16 35 H -0.30 -2.22 7.05 99.48 0.70 -1.52 16 36 H -0.29 -1.50 7.11 99.48 0.71 -0.79 16 37 H 0.12 0.98 4.86 -2.91 -0.01 0.96 16 38 H 0.15 0.61 8.06 -2.91 -0.02 0.59 16 39 H 0.14 1.38 6.30 -2.91 -0.02 1.36 16 40 H 0.07 0.91 6.85 -2.38 -0.02 0.90 16 41 H 0.08 0.89 6.88 -2.39 -0.02 0.87 16 42 H 0.41 -3.05 6.74 -92.71 -0.62 -3.68 16 43 H 0.09 -0.11 7.90 -2.39 -0.02 -0.13 16 44 H 0.05 0.22 8.14 -2.39 -0.02 0.20 16 45 H 0.14 -2.47 8.09 -2.38 -0.02 -2.49 16 46 H 0.09 -0.87 7.84 -2.38 -0.02 -0.89 16 47 H 0.26 -3.31 8.06 -2.91 -0.02 -3.33 16 48 H 0.23 0.03 8.06 -2.91 -0.02 0.01 16 49 H 0.10 -1.22 8.14 -2.39 -0.02 -1.24 16 50 H 0.12 -1.61 8.10 -2.39 -0.02 -1.62 16 51 H 0.16 -1.51 6.41 -2.91 -0.02 -1.53 16 52 H 0.16 -1.60 8.06 -2.91 -0.02 -1.62 16 53 H 0.15 -0.93 8.06 -2.91 -0.02 -0.96 16 54 H 0.13 0.63 7.00 -2.91 -0.02 0.61 16 55 H 0.14 1.18 8.06 -2.91 -0.02 1.15 16 Total: 0.00 -33.69 454.05 0.78 -32.91 By element: Atomic # 1 Polarization: -17.75 SS G_CDS: -0.28 Total: -18.03 kcal Atomic # 6 Polarization: -0.64 SS G_CDS: 8.43 Total: 7.79 kcal Atomic # 7 Polarization: -3.22 SS G_CDS: -6.66 Total: -9.88 kcal Atomic # 8 Polarization: -12.04 SS G_CDS: -2.76 Total: -14.79 kcal Atomic # 14 Polarization: -0.05 SS G_CDS: 2.05 Total: 2.00 kcal Total: -33.69 0.78 -32.91 kcal The number of atoms in the molecule is 55 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. s_22_14688106_4557126.mol2 55 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 118.888 kcal (2) G-P(sol) polarization free energy of solvation -33.694 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 85.195 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 0.782 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -32.912 kcal (6) G-S(sol) free energy of system = (1) + (5) 85.976 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.58 seconds