#============================================================================= data_global #============================================================================== # 1. SUBMISSION DETAILS _publ_contact_author_name 'Richard J. Reeder' _publ_contact_author_address ; Department of Geosciences and Center for Environmental Molecular Science Stony Brook University Stony Brook, NY 11794 USA ; _publ_contact_author_email rjreeder@stonybrook.edu _publ_requested_journal 'American Mineralogist' #============================================================================== # 3. TITLE AND AUTHOR LIST _publ_section_title ; Arsenate Substitution in Hydroxylapatite: Structural Characerization of the Ca5(Px As1-x O4)3 OH Solid Solution ; _publ_section_title_footnote ; ? ; # The loop structure below should contain the names and addresses of all # authors, in the required order of publication. Repeat as necessary. loop_ _publ_author_name _publ_author_address 'Young J. Lee' ; Department of Earth and Environmental Sciences Korea University, Seoul 136-701, Korea ; 'Peter W. Stephens' ; Department of Physics and Astronomy Stony Brook University Stony Brook NY 11794-3800 USA ; 'Yuanzhi Tang' ; Department of Geosciences and Center for Environmental Molecular Science Stony Brook University Stony Brook, NY 11794 USA ; 'Brian L. Phillips' ; Department of Geosciences and Center for Environmental Molecular Science Stony Brook University Stony Brook, NY 11794 USA ; 'John B. Parise' ; Department of Geosciences and Center for Environmental Molecular Science Stony Brook University Stony Brook, NY 11794 USA ; 'Richard J. Reeder' ; Department of Geosciences and Center for Environmental Molecular Science Stony Brook University Stony Brook, NY 11794 USA ; #============================================================================== data_As0 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P3 O4)3 OH' _chemical_formula_sum 'Ca5 H O13 P3' _chemical_formula_weight 502.3 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.4212(3) _cell_length_b 9.4212(3) _cell_length_c 6.8927(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 529.83(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69707 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 3830 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 40.29 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.06898 _pd_proc_ls_prof_wR_factor 0.08958 _pd_proc_ls_prof_wR_expected 0.07506 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 1.193 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 40.29 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69707 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As0_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.32694(80) 0.48259(78) 0.25 1 0.542(35) O2 O 6 0.58687(81) 0.46621(83) 0.25 1 0.542(35) O3 O 12 0.34163(50) 0.25520(57) 0.06978(59) 1 0.542(35) P1 P 6 0.39717(41) 0.36792(38) 0.25 1 0.542(35) Ca1 Ca 4 0.3333333 0.6666667 0.00097(54) 1 0.542(35) Ca2 Ca 6 0.24642(31) 0.99283(38) 0.25 1 0.542(35) O4 O 4 0 0 0.1978(18) 0.5 0.542(35) #============================================================================== ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As0_pattern _pd_block_id HAP_As0_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 647 643 0.0008353 2.010 728 639 0.0007425 2.020 679 635 0.0007935 2.030 688 630 0.0007846 2.040 703 626 0.0007673 2.050 679 622 0.0007935 2.060 672 618 0.0008025 2.070 636 614 0.0008500 2.080 610 610 0.0008858 2.090 644 606 0.0008353 2.100 594 602 0.0009072 2.110 624 598 0.0008651 2.120 583 595 0.0009239 2.130 566 591 0.0009526 2.140 570 587 0.0009467 2.150 557 583 0.0009705 2.160 618 580 0.0008702 2.170 583 576 0.0009239 2.180 566 573 0.0009526 2.190 622 569 0.0008651 2.200 605 566 0.0008911 2.210 540 562 0.0009951 2.220 574 559 0.0009409 2.230 600 555 0.0008964 2.240 574 552 0.0009352 2.250 574 549 0.0009352 2.260 546 545 0.0009827 2.270 597 542 0.0009018 2.280 550 539 0.0009766 2.290 606 536 0.0008911 2.300 531 533 0.0010142 2.310 574 530 0.0009352 2.320 550 527 0.0009766 2.330 481 524 0.0011186 2.340 498 521 0.0010821 2.350 489 518 0.0011037 2.360 532 515 0.0010142 2.370 549 512 0.0009827 2.380 472 509 0.0011413 2.390 502 506 0.0010750 2.400 470 503 0.0011413 2.410 517 500 0.0010406 2.420 465 498 0.0011569 2.430 463 495 0.0011648 2.440 512 492 0.0010541 2.450 463 489 0.0011648 2.460 508 487 0.0010610 2.470 493 484 0.0010892 2.480 521 481 0.0010339 2.490 462 479 0.0011648 2.500 504 476 0.0010680 2.510 463 474 0.0011569 2.520 441 471 0.0012226 2.530 428 469 0.0012575 2.540 432 466 0.0012486 2.550 523 464 0.0010273 2.560 458 462 0.0011728 2.570 441 459 0.0012140 2.580 453 457 0.0011891 2.590 412 454 0.0013033 2.600 399 452 0.0013418 2.610 472 450 0.0011413 2.620 479 448 0.0011186 2.630 445 445 0.0012056 2.640 391 443 0.0013717 2.650 376 441 0.0014240 2.660 412 439 0.0013033 2.670 444 436 0.0012056 2.680 418 434 0.0012847 2.690 409 432 0.0013127 2.700 433 430 0.0012398 2.710 435 428 0.0012311 2.720 418 426 0.0012847 2.730 446 424 0.0012056 2.740 362 422 0.0014793 2.750 414 420 0.0012939 2.760 386 418 0.0013820 2.770 398 416 0.0013516 2.780 401 414 0.0013320 2.790 413 412 0.0012939 2.800 386 410 0.0013820 2.810 400 408 0.0013418 2.820 452 406 0.0011809 2.830 383 404 0.0014027 2.840 376 402 0.0014240 2.850 381 401 0.0014027 2.860 390 399 0.0013717 2.870 432 397 0.0012398 2.880 402 395 0.0013320 2.890 407 393 0.0013127 2.900 340 392 0.0015747 2.910 381 390 0.0014027 2.920 363 388 0.0014793 2.930 381 386 0.0014027 2.940 367 385 0.0014568 2.950 380 383 0.0014133 2.960 423 381 0.0012664 2.970 359 380 0.0014907 2.980 365 378 0.0014680 2.990 387 377 0.0013820 3.000 363 375 0.0014680 3.010 380 373 0.0014027 3.020 320 372 0.0016660 3.030 359 370 0.0014907 3.040 354 369 0.0015140 3.050 341 367 0.0015623 3.060 363 366 0.0014680 3.070 378 364 0.0014133 3.080 341 363 0.0015623 3.090 367 361 0.0014568 3.100 367 360 0.0014568 3.110 367 358 0.0014568 3.120 319 357 0.0016797 3.130 341 355 0.0015623 3.140 384 354 0.0013923 3.150 332 352 0.0016129 3.160 334 351 0.0016000 3.170 347 350 0.0015379 3.180 283 348 0.0018904 3.190 328 347 0.0016259 3.200 398 345 0.0013418 3.210 324 344 0.0016391 3.220 272 343 0.0019579 3.230 321 341 0.0016660 3.240 297 340 0.0017955 3.250 370 339 0.0014457 3.260 372 338 0.0014348 3.270 263 336 0.0020291 3.280 338 335 0.0015747 3.290 402 334 0.0013223 3.300 329 333 0.0016259 3.310 299 331 0.0017803 3.320 310 330 0.0017217 3.330 297 329 0.0017955 3.340 323 328 0.0016525 3.350 364 326 0.0014568 3.360 334 325 0.0015873 3.370 314 324 0.0016935 3.380 297 323 0.0017955 3.390 295 322 0.0017955 3.400 291 321 0.0018263 3.410 312 320 0.0017075 3.420 299 318 0.0017803 3.430 312 317 0.0017075 3.440 306 316 0.0017361 3.450 305 315 0.0017507 3.460 282 314 0.0018904 3.470 293 313 0.0018108 3.480 288 312 0.0018420 3.490 325 311 0.0016391 3.500 310 310 0.0017075 3.510 301 309 0.0017654 3.520 312 308 0.0017075 3.530 284 307 0.0018740 3.540 280 306 0.0018904 3.550 341 305 0.0015623 3.560 284 304 0.0018740 3.570 337 303 0.0015747 3.580 284 302 0.0018740 3.590 297 301 0.0017803 3.600 288 300 0.0018420 3.610 331 299 0.0016000 3.620 288 298 0.0018420 3.630 294 297 0.0018108 3.640 311 296 0.0017075 3.650 311 295 0.0017075 3.660 294 294 0.0018108 3.670 264 293 0.0020109 3.680 307 292 0.0017217 3.690 275 291 0.0019237 3.700 290 290 0.0018263 3.710 349 290 0.0015259 3.720 270 289 0.0019753 3.730 309 288 0.0017217 3.740 330 287 0.0016129 3.750 283 286 0.0018740 3.760 305 285 0.0017361 3.770 279 284 0.0019069 3.780 279 284 0.0019069 3.790 309 283 0.0017075 3.800 253 282 0.0021042 3.810 317 281 0.0016797 3.820 313 280 0.0016935 3.830 300 279 0.0017654 3.840 287 279 0.0018579 3.850 262 278 0.0020291 3.860 262 277 0.0020291 3.870 343 276 0.0015500 3.880 298 276 0.0017803 3.890 290 275 0.0018263 3.900 230 274 0.0023114 3.910 251 273 0.0021042 3.920 309 273 0.0017075 3.930 281 272 0.0018904 3.940 270 271 0.0019579 3.950 308 270 0.0017217 3.960 309 270 0.0017075 3.970 321 269 0.0016525 3.980 274 268 0.0019407 3.990 306 268 0.0017361 4.000 287 267 0.0018420 4.010 253 266 0.0020850 4.020 279 266 0.0018904 4.030 296 265 0.0017803 4.040 268 264 0.0019753 4.050 253 264 0.0020850 4.060 274 263 0.0019407 4.070 236 262 0.0022461 4.080 270 262 0.0019579 4.090 281 261 0.0018904 4.100 300 261 0.0017654 4.110 257 260 0.0020661 4.120 257 260 0.0020661 4.130 270 259 0.0019579 4.140 232 259 0.0022893 4.150 268 258 0.0019753 4.160 304 258 0.0017361 4.170 247 257 0.0021433 4.180 276 257 0.0019237 4.190 296 256 0.0017803 4.200 247 255 0.0021433 4.210 261 255 0.0020291 4.220 276 254 0.0019237 4.230 321 254 0.0016525 4.240 272 253 0.0019407 4.250 283 253 0.0018740 4.260 261 252 0.0020291 4.270 291 252 0.0018263 4.280 272 251 0.0019407 4.290 234 251 0.0022676 4.300 227 251 0.0023338 4.310 283 250 0.0018740 4.320 308 250 0.0017217 4.330 253 249 0.0020850 4.340 261 249 0.0020291 4.350 264 248 0.0020109 4.360 289 248 0.0018263 4.370 266 248 0.0019930 4.380 229 247 0.0023114 4.390 265 247 0.0019930 4.400 247 247 0.0021433 4.410 280 246 0.0018904 4.420 253 246 0.0020850 4.430 263 246 0.0020109 4.440 255 245 0.0020850 4.450 261 245 0.0020291 4.460 280 245 0.0018904 4.470 259 245 0.0020475 4.480 278 245 0.0019069 4.490 278 245 0.0019069 4.500 261 245 0.0020291 4.510 223 245 0.0023795 4.520 244 245 0.0021633 4.530 246 245 0.0021633 4.540 276 246 0.0019237 4.550 261 246 0.0020291 4.560 251 247 0.0021042 4.570 295 248 0.0017955 4.580 282 249 0.0018740 4.590 255 251 0.0020661 4.600 263 254 0.0020109 4.610 285 258 0.0018579 4.620 274 262 0.0019407 4.630 289 267 0.0018263 4.640 257 272 0.0020661 4.650 280 278 0.0018904 4.660 318 284 0.0016660 4.670 261 291 0.0020291 4.680 312 299 0.0016935 4.690 272 307 0.0019407 4.700 350 315 0.0015140 4.710 353 325 0.0015023 4.720 314 335 0.0016935 4.730 393 346 0.0013516 4.740 404 359 0.0013127 4.750 355 373 0.0014907 4.760 402 388 0.0013127 4.770 363 405 0.0014568 4.780 398 424 0.0013320 4.790 474 446 0.0011186 4.800 499 471 0.0010610 4.810 487 500 0.0010892 4.820 495 534 0.0010680 4.830 586 574 0.0009018 4.840 623 621 0.0008500 4.850 631 678 0.0008402 4.860 735 743 0.0007188 4.870 631 811 0.0008402 4.880 663 855 0.0007980 4.890 626 826 0.0008451 4.900 612 706 0.0008651 4.910 514 564 0.0010273 4.920 438 457 0.0012056 4.930 389 388 0.0013616 4.940 359 344 0.0014793 4.950 348 314 0.0015259 4.960 278 294 0.0019069 4.970 289 280 0.0018263 4.980 297 269 0.0017803 4.990 318 261 0.0016660 5.000 244 254 0.0021633 5.010 272 249 0.0019407 5.020 234 245 0.0022676 5.030 265 242 0.0019930 5.040 232 239 0.0022676 5.050 202 236 0.0026298 5.060 215 234 0.0024507 5.070 263 232 0.0020109 5.080 276 231 0.0019237 5.090 195 229 0.0027127 5.100 231 228 0.0022893 5.110 274 227 0.0019237 5.120 219 226 0.0024029 5.130 212 225 0.0025000 5.140 253 224 0.0020850 5.150 208 223 0.0025508 5.160 191 222 0.0027701 5.170 170 221 0.0031210 5.180 221 221 0.0024029 5.190 202 220 0.0026298 5.200 232 220 0.0022676 5.210 247 219 0.0021433 5.220 204 219 0.0026031 5.230 229 218 0.0023114 5.240 210 218 0.0025252 5.250 202 217 0.0026298 5.260 213 217 0.0024752 5.270 236 216 0.0022461 5.280 193 216 0.0027412 5.290 200 215 0.0026570 5.300 215 215 0.0024507 5.310 232 215 0.0022893 5.320 196 214 0.0026846 5.330 227 214 0.0023338 5.340 227 214 0.0023338 5.350 257 213 0.0020661 5.360 210 213 0.0025252 5.370 200 213 0.0026570 5.380 227 212 0.0023338 5.390 238 212 0.0022250 5.400 200 212 0.0026570 5.410 215 212 0.0024507 5.420 170 211 0.0031210 5.430 230 211 0.0022893 5.440 217 211 0.0024507 5.450 219 211 0.0024267 5.460 174 210 0.0030524 5.470 206 210 0.0025767 5.480 194 210 0.0027127 5.490 194 210 0.0027127 5.500 223 209 0.0023795 5.510 217 209 0.0024507 5.520 213 209 0.0024752 5.530 211 209 0.0025000 5.540 198 208 0.0026846 5.550 204 208 0.0026031 5.560 209 208 0.0025252 5.570 225 208 0.0023565 5.580 204 208 0.0026031 5.590 221 207 0.0024029 5.600 213 207 0.0024752 5.610 194 207 0.0027127 5.620 192 207 0.0027412 5.630 238 207 0.0022250 5.640 187 206 0.0028293 5.650 192 206 0.0027412 5.660 194 206 0.0027127 5.670 215 205 0.0024752 5.680 215 205 0.0024752 5.690 234 205 0.0022676 5.700 243 205 0.0021836 5.710 191 205 0.0027701 5.720 196 205 0.0027127 5.730 226 205 0.0023338 5.740 179 204 0.0029537 5.750 185 204 0.0028597 5.760 217 204 0.0024507 5.770 200 204 0.0026570 5.780 228 204 0.0023114 5.790 196 204 0.0027127 5.800 204 204 0.0026031 5.810 213 204 0.0024752 5.820 204 204 0.0026031 5.830 226 203 0.0023338 5.840 219 203 0.0024267 5.850 193 203 0.0027412 5.860 194 203 0.0027412 5.870 191 203 0.0027701 5.880 187 203 0.0028293 5.890 191 203 0.0027701 5.900 196 203 0.0027127 5.910 204 203 0.0026031 5.920 198 203 0.0026846 5.930 227 203 0.0023338 5.940 219 202 0.0024267 5.950 223 202 0.0023795 5.960 192 202 0.0027412 5.970 164 202 0.0032283 5.980 179 202 0.0029537 5.990 208 202 0.0025508 6.000 228 202 0.0023114 6.010 215 202 0.0024752 6.020 221 202 0.0024029 6.030 191 202 0.0027701 6.040 215 202 0.0024752 6.050 238 202 0.0022250 6.060 223 202 0.0023795 6.070 215 202 0.0024752 6.080 177 202 0.0029861 6.090 221 201 0.0024029 6.100 221 201 0.0024029 6.110 179 201 0.0029537 6.120 209 201 0.0025252 6.130 177 201 0.0029861 6.140 211 201 0.0025000 6.150 185 201 0.0028597 6.160 175 201 0.0030190 6.170 202 201 0.0026298 6.180 217 201 0.0024507 6.190 211 201 0.0025000 6.200 192 201 0.0027701 6.210 221 201 0.0024029 6.220 234 201 0.0022676 6.230 198 201 0.0026846 6.240 204 201 0.0026031 6.250 223 201 0.0023795 6.260 207 201 0.0025508 6.270 196 201 0.0027127 6.280 221 201 0.0024029 6.290 219 201 0.0024267 6.300 175 201 0.0030190 6.310 204 201 0.0026031 6.320 215 201 0.0024752 6.330 198 201 0.0026846 6.340 245 201 0.0021633 6.350 181 201 0.0029218 6.360 215 201 0.0024752 6.370 204 201 0.0026031 6.380 200 201 0.0026570 6.390 222 201 0.0023795 6.400 168 201 0.0031562 6.410 196 201 0.0027127 6.420 207 201 0.0025508 6.430 189 201 0.0027995 6.440 192 201 0.0027701 6.450 204 201 0.0026031 6.460 156 201 0.0033802 6.470 220 201 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0.0013616 11.800 318 351 0.0016525 11.810 381 348 0.0013717 11.820 348 345 0.0015023 11.830 377 342 0.0013923 11.840 346 340 0.0015140 11.850 358 339 0.0014568 11.860 379 337 0.0013820 11.870 331 336 0.0015873 11.880 348 335 0.0015023 11.890 367 334 0.0014240 11.900 348 333 0.0015023 11.910 323 332 0.0016129 11.920 329 331 0.0015873 11.930 350 331 0.0014907 11.940 335 330 0.0015623 11.950 335 329 0.0015623 11.960 352 329 0.0014907 11.970 314 328 0.0016660 11.980 298 327 0.0017507 11.990 333 327 0.0015747 12.000 350 327 0.0014907 12.010 356 326 0.0014680 12.020 314 326 0.0016660 12.030 342 325 0.0015259 12.040 333 325 0.0015747 12.050 275 325 0.0019069 12.060 310 325 0.0016935 12.070 357 324 0.0014680 12.080 298 324 0.0017507 12.090 290 324 0.0017955 12.100 344 324 0.0015259 12.110 285 323 0.0018420 12.120 359 323 0.0014568 12.130 309 323 0.0016935 12.140 277 323 0.0018904 12.150 319 323 0.0016391 12.160 281 323 0.0018579 12.170 311 323 0.0016797 12.180 290 323 0.0018108 12.190 355 323 0.0014793 12.200 294 323 0.0017803 12.210 338 323 0.0015500 12.220 328 323 0.0016000 12.230 313 323 0.0016797 12.240 368 323 0.0014240 12.250 340 322 0.0015379 12.260 305 322 0.0017217 12.270 306 322 0.0017075 12.280 338 322 0.0015500 12.290 323 322 0.0016259 12.300 290 321 0.0018108 12.310 302 321 0.0017361 12.320 351 321 0.0014907 12.330 351 322 0.0014907 12.340 370 323 0.0014133 12.350 323 323 0.0016259 12.360 277 324 0.0018904 12.370 313 325 0.0016660 12.380 279 326 0.0018740 12.390 336 327 0.0015623 12.400 292 329 0.0017955 12.410 363 330 0.0014457 12.420 365 333 0.0014348 12.430 348 335 0.0015023 12.440 304 338 0.0017217 12.450 331 343 0.0015873 12.460 319 348 0.0016391 12.470 375 356 0.0013923 12.480 342 366 0.0015259 12.490 361 381 0.0014457 12.500 440 402 0.0011891 12.510 371 427 0.0014133 12.520 356 459 0.0014680 12.530 476 498 0.0010964 12.540 515 544 0.0010142 12.550 637 601 0.0008210 12.560 697 670 0.0007506 12.570 827 754 0.0006313 12.580 898 844 0.0005806 12.590 979 913 0.0005334 12.600 879 894 0.0005949 12.610 812 770 0.0006442 12.620 613 628 0.0008500 12.630 532 526 0.0009827 12.640 463 463 0.0011261 12.650 421 424 0.0012398 12.660 395 399 0.0013223 12.670 404 382 0.0012939 12.680 379 371 0.0013820 12.690 345 363 0.0015140 12.700 339 357 0.0015379 12.710 351 353 0.0014907 12.720 351 351 0.0014907 12.730 345 349 0.0015140 12.740 314 349 0.0016660 12.750 318 349 0.0016391 12.760 366 350 0.0014240 12.770 360 351 0.0014457 12.780 357 354 0.0014680 12.790 295 358 0.0017654 12.800 339 362 0.0015379 12.810 385 368 0.0013516 12.820 372 376 0.0014027 12.830 357 386 0.0014680 12.840 408 400 0.0012755 12.850 435 418 0.0011973 12.860 451 442 0.0011569 12.870 456 474 0.0011413 12.880 501 514 0.0010406 12.890 589 563 0.0008858 12.900 660 622 0.0007890 12.910 679 693 0.0007673 12.920 720 775 0.0007226 12.930 854 870 0.0006097 12.940 987 974 0.0005285 12.950 983 1075 0.0005309 12.960 993 1146 0.0005236 12.970 1030 1144 0.0005050 12.980 957 1051 0.0005434 12.990 859 902 0.0006067 13.000 742 757 0.0007036 13.010 686 643 0.0007589 13.020 615 560 0.0008451 13.030 540 502 0.0009645 13.040 465 460 0.0011186 13.050 440 429 0.0011809 13.060 406 406 0.0012847 13.070 388 389 0.0013418 13.080 469 375 0.0011111 13.090 406 364 0.0012847 13.100 383 355 0.0013616 13.110 367 348 0.0014133 13.120 367 342 0.0014133 13.130 383 337 0.0013616 13.140 364 333 0.0014348 13.150 369 329 0.0014027 13.160 344 327 0.0015140 13.170 362 324 0.0014348 13.180 356 323 0.0014568 13.190 362 322 0.0014348 13.200 345 323 0.0015023 13.210 316 321 0.0016391 13.220 285 320 0.0018263 13.230 314 319 0.0016525 13.240 324 317 0.0016000 13.250 297 316 0.0017507 13.260 326 315 0.0016000 13.270 306 314 0.0016935 13.280 297 314 0.0017507 13.290 293 313 0.0017654 13.300 366 312 0.0014133 13.310 308 311 0.0016797 13.320 308 311 0.0016797 13.330 276 310 0.0018740 13.340 297 309 0.0017507 13.350 309 309 0.0016797 13.360 351 308 0.0014793 13.370 291 308 0.0017803 13.380 299 308 0.0017361 13.390 293 307 0.0017654 13.400 255 307 0.0020291 13.410 286 307 0.0018108 13.420 284 307 0.0018263 13.430 303 306 0.0017075 13.440 317 306 0.0016391 13.450 311 306 0.0016660 13.460 307 306 0.0016797 13.470 336 306 0.0015379 13.480 296 306 0.0017507 13.490 284 306 0.0018263 13.500 323 306 0.0016000 13.510 284 306 0.0018263 13.520 288 306 0.0017955 13.530 361 306 0.0014348 13.540 348 306 0.0014907 13.550 325 307 0.0016000 13.560 323 307 0.0016000 13.570 304 308 0.0017075 13.580 317 310 0.0016259 13.590 307 312 0.0016797 13.600 321 313 0.0016129 13.610 331 315 0.0015623 13.620 342 316 0.0015140 13.630 340 317 0.0015140 13.640 348 317 0.0014907 13.650 298 318 0.0017361 13.660 368 319 0.0014027 13.670 323 320 0.0016000 13.680 346 320 0.0014907 13.690 335 321 0.0015379 13.700 335 322 0.0015379 13.710 362 323 0.0014240 13.720 310 325 0.0016660 13.730 376 326 0.0013717 13.740 351 327 0.0014680 13.750 333 329 0.0015500 13.760 360 330 0.0014348 13.770 324 332 0.0016000 13.780 299 334 0.0017217 13.790 320 336 0.0016129 13.800 357 338 0.0014457 13.810 359 340 0.0014348 13.820 361 343 0.0014240 13.830 378 345 0.0013616 13.840 371 348 0.0013923 13.850 342 352 0.0015140 13.860 375 355 0.0013717 13.870 404 359 0.0012755 13.880 379 363 0.0013616 13.890 388 368 0.0013223 13.900 396 373 0.0013033 13.910 412 379 0.0012486 13.920 424 385 0.0012140 13.930 400 392 0.0012847 13.940 410 400 0.0012575 13.950 424 409 0.0012140 13.960 461 419 0.0011186 13.970 539 430 0.0009526 13.980 502 442 0.0010273 13.990 492 457 0.0010473 14.000 504 474 0.0010207 14.010 525 493 0.0009766 14.020 541 515 0.0009526 14.030 624 542 0.0008257 14.040 652 573 0.0007890 14.050 601 612 0.0008550 14.060 667 658 0.0007716 14.070 755 716 0.0006817 14.080 860 789 0.0005978 14.090 967 882 0.0005309 14.100 1068 1004 0.0004809 14.110 1318 1166 0.0003906 14.120 1437 1380 0.0003573 14.130 1689 1658 0.0003046 14.140 2050 2009 0.0002504 14.150 2549 2438 0.0002018 14.160 2918 2953 0.0001764 14.170 3453 3560 0.0001487 14.180 4221 4256 0.0001218 14.190 4960 5004 0.0001037 14.200 5684 5687 0.0000904 14.210 5552 6056 0.0000926 14.220 5306 5824 0.0000969 14.230 4863 5002 0.0001056 14.240 4064 3982 0.0001265 14.250 3139 3108 0.0001639 14.260 2639 2476 0.0001951 14.270 2195 2054 0.0002345 14.280 1833 1791 0.0002806 14.290 1547 1649 0.0003330 14.300 1647 1607 0.0003122 14.310 1614 1651 0.0003189 14.320 1782 1771 0.0002883 14.330 1963 1966 0.0002618 14.340 2228 2237 0.0002310 14.350 2601 2591 0.0001978 14.360 3047 3026 0.0001687 14.370 3691 3505 0.0001394 14.380 3995 3876 0.0001288 14.390 3694 3838 0.0001391 14.400 3242 3247 0.0001586 14.410 2568 2461 0.0002001 14.420 1990 1835 0.0002585 14.430 1411 1420 0.0003642 14.440 1220 1152 0.0004216 14.450 1027 976 0.0005005 14.460 856 856 0.0006007 14.470 819 772 0.0006281 14.480 778 713 0.0006608 14.490 722 670 0.0007111 14.500 671 640 0.0007673 14.510 724 620 0.0007111 14.520 687 607 0.0007506 14.530 654 602 0.0007846 14.540 599 603 0.0008600 14.550 683 611 0.0007547 14.560 665 626 0.0007716 14.570 747 650 0.0006889 14.580 772 684 0.0006643 14.590 792 731 0.0006508 14.600 808 796 0.0006377 14.610 895 883 0.0005751 14.620 1123 1002 0.0004585 14.630 1213 1158 0.0004234 14.640 1395 1358 0.0003684 14.650 1647 1605 0.0003122 14.660 1897 1903 0.0002714 14.670 2223 2252 0.0002317 14.680 2494 2648 0.0002064 14.690 3078 3065 0.0001669 14.700 3187 3438 0.0001615 14.710 3520 3640 0.0001462 14.720 3355 3534 0.0001532 14.730 2971 3111 0.0001731 14.740 2564 2544 0.0002006 14.750 2130 2018 0.0002411 14.760 1591 1605 0.0003235 14.770 1437 1302 0.0003573 14.780 1055 1083 0.0004873 14.790 965 923 0.0005334 14.800 761 805 0.0006747 14.810 753 716 0.0006817 14.820 648 647 0.0007935 14.830 558 593 0.0009239 14.840 508 550 0.0010142 14.850 546 515 0.0009409 14.860 504 486 0.0010207 14.870 445 463 0.0011569 14.880 387 443 0.0013320 14.890 430 427 0.0011973 14.900 416 413 0.0012398 14.910 399 401 0.0012939 14.920 396 391 0.0012939 14.930 404 382 0.0012755 14.940 385 375 0.0013418 14.950 369 369 0.0013923 14.960 418 364 0.0012311 14.970 387 360 0.0013320 14.980 389 357 0.0013223 14.990 377 354 0.0013616 15.000 342 353 0.0015023 15.010 381 353 0.0013516 15.020 344 354 0.0015023 15.030 402 356 0.0012847 15.040 357 360 0.0014457 15.050 384 366 0.0013418 15.060 381 374 0.0013516 15.070 382 385 0.0013516 15.080 375 400 0.0013717 15.090 449 421 0.0011491 15.100 478 451 0.0010750 15.110 536 494 0.0009585 15.120 583 554 0.0008858 15.130 670 635 0.0007673 15.140 833 740 0.0006188 15.150 893 870 0.0005778 15.160 1072 1031 0.0004809 15.170 1301 1225 0.0003968 15.180 1488 1449 0.0003468 15.190 1776 1676 0.0002902 15.200 1857 1827 0.0002778 15.210 1729 1772 0.0002983 15.220 1460 1491 0.0003533 15.230 1101 1151 0.0004685 15.240 883 882 0.0005834 15.250 779 700 0.0006608 15.260 586 581 0.0008805 15.270 483 502 0.0010680 15.280 429 447 0.0012056 15.290 407 407 0.0012664 15.300 359 378 0.0014348 15.310 374 356 0.0013820 15.320 386 338 0.0013320 15.330 316 325 0.0016259 15.340 318 314 0.0016259 15.350 297 305 0.0017361 15.360 307 297 0.0016797 15.370 275 291 0.0018740 15.380 305 285 0.0016935 15.390 250 281 0.0020661 15.400 270 277 0.0019069 15.410 272 273 0.0019069 15.420 262 270 0.0019753 15.430 272 267 0.0019069 15.440 273 265 0.0018904 15.450 306 262 0.0016797 15.460 260 261 0.0019930 15.470 262 259 0.0019753 15.480 256 257 0.0020109 15.490 250 256 0.0020661 15.500 285 254 0.0018108 15.510 300 253 0.0017217 15.520 283 252 0.0018263 15.530 271 251 0.0019069 15.540 221 250 0.0023338 15.550 246 250 0.0021042 15.560 236 249 0.0021836 15.570 207 248 0.0025000 15.580 240 248 0.0021433 15.590 227 247 0.0022893 15.600 228 247 0.0022676 15.610 254 247 0.0020291 15.620 279 247 0.0018579 15.630 232 247 0.0022250 15.640 252 248 0.0020475 15.650 257 248 0.0020109 15.660 281 249 0.0018420 15.670 228 250 0.0022676 15.680 220 252 0.0023565 15.690 282 254 0.0018263 15.700 226 257 0.0022893 15.710 251 260 0.0020661 15.720 244 266 0.0021236 15.730 257 273 0.0020109 15.740 278 282 0.0018579 15.750 275 295 0.0018904 15.760 305 311 0.0016935 15.770 338 331 0.0015259 15.780 386 355 0.0013418 15.790 404 382 0.0012847 15.800 499 412 0.0010406 15.810 545 441 0.0009526 15.820 479 459 0.0010821 15.830 502 456 0.0010273 15.840 481 427 0.0010750 15.850 516 386 0.0010014 15.860 375 347 0.0013820 15.870 356 317 0.0014568 15.880 284 294 0.0018263 15.890 334 278 0.0015500 15.900 253 266 0.0020475 15.910 245 257 0.0021042 15.920 265 251 0.0019579 15.930 273 246 0.0019069 15.940 261 241 0.0019753 15.950 207 238 0.0025000 15.960 269 236 0.0019237 15.970 269 233 0.0019237 15.980 222 231 0.0023338 15.990 182 230 0.0028597 16.000 248 228 0.0020850 16.010 203 227 0.0025508 16.020 259 226 0.0019930 16.030 191 225 0.0027127 16.040 217 224 0.0023795 16.050 238 223 0.0021633 16.060 236 222 0.0021836 16.070 160 221 0.0032283 16.080 184 220 0.0027995 16.090 230 219 0.0022461 16.100 197 218 0.0026298 16.110 184 218 0.0027995 16.120 184 218 0.0027995 16.130 203 217 0.0025508 16.140 201 217 0.0025767 16.150 252 216 0.0020475 16.160 178 216 0.0028905 16.170 255 216 0.0020291 16.180 207 215 0.0025000 16.190 201 215 0.0025767 16.200 221 215 0.0023338 16.210 199 214 0.0026031 16.220 176 214 0.0029218 16.230 209 214 0.0024752 16.240 209 213 0.0024752 16.250 207 213 0.0025000 16.260 194 213 0.0026570 16.270 232 213 0.0022250 16.280 230 212 0.0022461 16.290 234 212 0.0022041 16.300 236 212 0.0021836 16.310 186 212 0.0027701 16.320 215 211 0.0024029 16.330 186 211 0.0027701 16.340 201 211 0.0025767 16.350 168 211 0.0030524 16.360 195 210 0.0026298 16.370 219 210 0.0023565 16.380 205 210 0.0025252 16.390 167 210 0.0030864 16.400 174 209 0.0029537 16.410 209 209 0.0024752 16.420 211 209 0.0024507 16.430 223 209 0.0023114 16.440 199 209 0.0025767 16.450 163 209 0.0031919 16.460 213 208 0.0024267 16.470 167 208 0.0030864 16.480 192 209 0.0026846 16.490 215 209 0.0024029 16.500 184 209 0.0027995 16.510 207 209 0.0025000 16.520 192 209 0.0026846 16.530 180 209 0.0028597 16.540 219 209 0.0023565 16.550 194 208 0.0026570 16.560 203 208 0.0025508 16.570 174 208 0.0029537 16.580 213 208 0.0024267 16.590 215 208 0.0024029 16.600 194 208 0.0026570 16.610 221 208 0.0023338 16.620 207 207 0.0024752 16.630 192 207 0.0026846 16.640 161 207 0.0031919 16.650 171 207 0.0030190 16.660 182 207 0.0028293 16.670 178 207 0.0028905 16.680 184 207 0.0027995 16.690 202 207 0.0025508 16.700 202 207 0.0025508 16.710 196 206 0.0026298 16.720 180 206 0.0028597 16.730 221 206 0.0023338 16.740 179 206 0.0028905 16.750 221 206 0.0023338 16.760 186 206 0.0027701 16.770 223 206 0.0023114 16.780 163 206 0.0031562 16.790 161 206 0.0031919 16.800 190 206 0.0027127 16.810 196 206 0.0026298 16.820 202 206 0.0025508 16.830 165 206 0.0031210 16.840 171 206 0.0030190 16.850 187 206 0.0027701 16.860 210 206 0.0024507 16.870 214 207 0.0024029 16.880 191 207 0.0027127 16.890 189 207 0.0027412 16.900 177 207 0.0029218 16.910 220 208 0.0023338 16.920 150 209 0.0034199 16.930 194 209 0.0026570 16.940 198 211 0.0026031 16.950 185 212 0.0027701 16.960 204 214 0.0025252 16.970 163 216 0.0031562 16.980 185 219 0.0027701 16.990 185 221 0.0027701 17.000 214 222 0.0024029 17.010 216 223 0.0023795 17.020 198 221 0.0026031 17.030 189 219 0.0027127 17.040 245 216 0.0021042 17.050 206 214 0.0025000 17.060 204 212 0.0025252 17.070 216 211 0.0023795 17.080 204 210 0.0025252 17.090 199 209 0.0025767 17.100 158 209 0.0032653 17.110 169 209 0.0030190 17.120 183 209 0.0027995 17.130 187 209 0.0027412 17.140 230 209 0.0022250 17.150 191 209 0.0026846 17.160 191 210 0.0026846 17.170 207 210 0.0024752 17.180 207 211 0.0024752 17.190 207 211 0.0024752 17.200 216 212 0.0023795 17.210 187 213 0.0027412 17.220 220 214 0.0023338 17.230 212 215 0.0024267 17.240 197 217 0.0026031 17.250 181 218 0.0028293 17.260 228 220 0.0022461 17.270 199 222 0.0025767 17.280 185 225 0.0027701 17.290 209 228 0.0024507 17.300 258 232 0.0019930 17.310 228 237 0.0022461 17.320 213 243 0.0024029 17.330 250 251 0.0020475 17.340 246 261 0.0020850 17.350 263 275 0.0019407 17.360 318 295 0.0016129 17.370 349 320 0.0014680 17.380 392 353 0.0013033 17.390 393 394 0.0013033 17.400 510 443 0.0010078 17.410 522 498 0.0009827 17.420 582 553 0.0008805 17.430 549 591 0.0009352 17.440 688 589 0.0007425 17.450 596 538 0.0008600 17.460 504 468 0.0010142 17.470 446 407 0.0011491 17.480 405 363 0.0012664 17.490 379 334 0.0013516 17.500 340 316 0.0015023 17.510 383 306 0.0013320 17.520 301 300 0.0016935 17.530 305 299 0.0016797 17.540 284 301 0.0017955 17.550 293 306 0.0017361 17.560 282 314 0.0018108 17.570 345 325 0.0014793 17.580 333 341 0.0015379 17.590 372 362 0.0013717 17.600 429 390 0.0011891 17.610 468 426 0.0010892 17.620 446 475 0.0011413 17.630 515 538 0.0009951 17.640 650 621 0.0007846 17.650 737 726 0.0006925 17.660 939 853 0.0005434 17.670 1056 1001 0.0004830 17.680 1199 1161 0.0004251 17.690 1463 1316 0.0003494 17.700 1404 1427 0.0003642 17.710 1463 1447 0.0003494 17.720 1381 1352 0.0003698 17.730 1345 1173 0.0003800 17.740 1110 975 0.0004605 17.750 914 803 0.0005589 17.760 745 668 0.0006853 17.770 592 568 0.0008600 17.780 529 493 0.0009645 17.790 416 438 0.0012226 17.800 412 396 0.0012398 17.810 416 364 0.0012311 17.820 337 339 0.0015140 17.830 324 320 0.0015747 17.840 281 305 0.0018108 17.850 282 293 0.0018108 17.860 263 283 0.0019407 17.870 243 276 0.0021042 17.880 251 272 0.0020291 17.890 257 269 0.0019753 17.900 285 268 0.0017955 17.910 236 269 0.0021633 17.920 271 273 0.0018740 17.930 277 280 0.0018420 17.940 263 289 0.0019407 17.950 255 300 0.0019930 17.960 271 312 0.0018740 17.970 289 323 0.0017654 17.980 305 326 0.0016660 17.990 283 320 0.0017955 18.000 299 304 0.0017075 18.010 238 285 0.0021433 18.020 271 267 0.0018740 18.030 256 253 0.0019930 18.040 263 243 0.0019237 18.050 246 237 0.0020661 18.060 205 232 0.0024752 18.070 238 229 0.0021433 18.080 236 229 0.0021633 18.090 220 229 0.0023114 18.100 224 231 0.0022676 18.110 220 233 0.0023114 18.120 195 235 0.0026031 18.130 274 232 0.0018579 18.140 203 226 0.0025000 18.150 221 218 0.0023114 18.160 240 213 0.0021042 18.170 199 209 0.0025508 18.180 193 206 0.0026298 18.190 217 204 0.0023338 18.200 213 203 0.0023795 18.210 193 201 0.0026298 18.220 203 200 0.0025000 18.230 197 200 0.0025767 18.240 181 199 0.0027995 18.250 215 198 0.0023565 18.260 185 198 0.0027412 18.270 177 198 0.0028597 18.280 146 197 0.0034602 18.290 185 197 0.0027412 18.300 252 197 0.0020109 18.310 201 197 0.0025252 18.320 179 197 0.0028293 18.330 207 197 0.0024507 18.340 199 197 0.0025508 18.350 185 197 0.0027412 18.360 201 197 0.0025252 18.370 217 197 0.0023338 18.380 166 197 0.0030524 18.390 176 198 0.0028905 18.400 213 198 0.0023795 18.410 205 198 0.0024752 18.420 181 199 0.0027995 18.430 231 200 0.0022041 18.440 166 201 0.0030524 18.450 225 202 0.0022461 18.460 187 203 0.0027127 18.470 178 205 0.0028597 18.480 229 207 0.0022250 18.490 201 210 0.0025252 18.500 223 213 0.0022676 18.510 243 216 0.0020850 18.520 217 221 0.0023338 18.530 237 227 0.0021433 18.540 247 235 0.0020475 18.550 264 245 0.0019237 18.560 257 258 0.0019753 18.570 264 275 0.0019237 18.580 286 298 0.0017654 18.590 326 327 0.0015623 18.600 334 362 0.0015140 18.610 405 404 0.0012486 18.620 452 450 0.0011186 18.630 490 494 0.0010339 18.640 496 524 0.0010207 18.650 573 528 0.0008858 18.660 529 498 0.0009585 18.670 486 447 0.0010406 18.680 393 394 0.0012847 18.690 417 350 0.0012140 18.700 371 318 0.0013616 18.710 300 296 0.0016935 18.720 322 282 0.0015747 18.730 310 274 0.0016391 18.740 310 271 0.0016391 18.750 330 271 0.0015379 18.760 314 275 0.0016129 18.770 288 277 0.0017507 18.780 346 276 0.0014680 18.790 312 268 0.0016259 18.800 306 254 0.0016525 18.810 255 239 0.0019930 18.820 235 228 0.0021633 18.830 207 219 0.0024507 18.840 233 212 0.0021633 18.850 209 207 0.0024267 18.860 205 204 0.0024752 18.870 196 201 0.0026031 18.880 241 198 0.0021042 18.890 223 197 0.0022676 18.900 198 195 0.0025508 18.910 182 194 0.0027701 18.920 215 192 0.0023565 18.930 219 191 0.0023114 18.940 211 190 0.0024029 18.950 190 189 0.0026570 18.960 168 188 0.0030190 18.970 213 188 0.0023795 18.980 203 187 0.0025000 18.990 225 187 0.0022461 19.000 210 187 0.0024267 19.010 188 186 0.0026846 19.020 174 186 0.0029218 19.030 166 186 0.0030524 19.040 209 185 0.0024267 19.050 231 185 0.0021836 19.060 188 185 0.0026846 19.070 170 185 0.0029861 19.080 205 185 0.0024752 19.090 217 185 0.0023338 19.100 162 185 0.0031210 19.110 217 185 0.0023338 19.120 192 185 0.0026570 19.130 164 185 0.0030864 19.140 243 185 0.0020850 19.150 203 185 0.0025000 19.160 162 185 0.0031210 19.170 215 186 0.0023565 19.180 190 186 0.0026570 19.190 172 186 0.0029537 19.200 188 187 0.0027127 19.210 188 187 0.0027127 19.220 176 188 0.0028905 19.230 194 189 0.0026298 19.240 217 190 0.0023338 19.250 213 191 0.0023795 19.260 194 192 0.0026031 19.270 231 194 0.0021836 19.280 209 196 0.0024267 19.290 162 199 0.0031210 19.300 172 202 0.0029537 19.310 193 206 0.0026298 19.320 221 212 0.0022893 19.330 221 220 0.0022893 19.340 294 232 0.0017217 19.350 233 248 0.0021633 19.360 292 272 0.0017361 19.370 326 306 0.0015500 19.380 357 350 0.0014133 19.390 456 406 0.0011111 19.400 545 474 0.0009295 19.410 646 545 0.0007846 19.420 616 594 0.0008210 19.430 664 574 0.0007631 19.440 494 486 0.0010273 19.450 367 392 0.0013820 19.460 381 325 0.0013320 19.470 267 282 0.0019069 19.480 271 255 0.0018740 19.490 275 238 0.0018420 19.500 225 226 0.0022461 19.510 253 218 0.0020109 19.520 263 213 0.0019237 19.530 251 210 0.0020109 19.540 223 207 0.0022676 19.550 223 206 0.0022676 19.560 217 205 0.0023338 19.570 213 205 0.0023795 19.580 205 206 0.0024752 19.590 221 208 0.0022893 19.600 223 211 0.0022676 19.610 259 215 0.0019579 19.620 241 221 0.0021042 19.630 239 228 0.0021236 19.640 233 235 0.0021633 19.650 237 241 0.0021433 19.660 239 245 0.0021236 19.670 249 244 0.0020291 19.680 229 238 0.0022041 19.690 255 230 0.0019930 19.700 217 221 0.0023338 19.710 267 213 0.0019069 19.720 215 207 0.0023565 19.730 221 203 0.0022893 19.740 211 199 0.0024029 19.750 217 197 0.0023338 19.760 195 195 0.0026031 19.770 209 194 0.0024267 19.780 197 193 0.0025767 19.790 223 192 0.0022676 19.800 184 192 0.0027701 19.810 215 191 0.0023565 19.820 203 191 0.0025000 19.830 168 191 0.0030190 19.840 160 191 0.0031562 19.850 178 192 0.0028597 19.860 184 192 0.0027701 19.870 201 193 0.0025252 19.880 193 194 0.0026298 19.890 191 195 0.0026570 19.900 156 197 0.0032653 19.910 278 199 0.0018263 19.920 217 202 0.0023338 19.930 201 206 0.0025252 19.940 233 211 0.0021836 19.950 227 218 0.0022250 19.960 225 228 0.0022461 19.970 249 242 0.0020475 19.980 272 262 0.0018579 19.990 274 291 0.0018579 20.000 377 329 0.0013418 20.010 387 377 0.0013127 20.020 452 435 0.0011261 20.030 521 494 0.0009705 20.040 491 529 0.0010339 20.050 529 507 0.0009585 20.060 442 434 0.0011491 20.070 383 358 0.0013223 20.080 333 304 0.0015259 20.090 270 270 0.0018740 20.100 225 248 0.0022461 20.110 245 234 0.0020661 20.120 215 224 0.0023565 20.130 181 217 0.0027995 20.140 225 212 0.0022461 20.150 247 209 0.0020661 20.160 185 206 0.0027412 20.170 187 204 0.0027127 20.180 233 203 0.0021836 20.190 247 202 0.0020475 20.200 191 201 0.0026570 20.210 201 200 0.0025252 20.220 179 200 0.0028293 20.230 229 200 0.0022250 20.240 209 200 0.0024267 20.250 205 201 0.0024752 20.260 197 201 0.0025767 20.270 219 202 0.0023114 20.280 227 203 0.0022461 20.290 209 204 0.0024267 20.300 199 205 0.0025508 20.310 213 206 0.0023795 20.320 205 208 0.0024752 20.330 244 209 0.0020661 20.340 223 211 0.0022676 20.350 240 213 0.0021042 20.360 242 216 0.0020850 20.370 207 218 0.0024507 20.380 256 222 0.0019753 20.390 221 225 0.0022893 20.400 217 229 0.0023338 20.410 248 234 0.0020475 20.420 238 239 0.0021236 20.430 252 245 0.0020109 20.440 262 252 0.0019407 20.450 284 261 0.0017955 20.460 274 271 0.0018579 20.470 254 282 0.0019930 20.480 268 296 0.0018904 20.490 288 313 0.0017654 20.500 317 333 0.0016000 20.510 315 358 0.0016129 20.520 394 388 0.0012847 20.530 414 425 0.0012311 20.540 445 473 0.0011413 20.550 483 537 0.0010541 20.560 662 623 0.0007673 20.570 753 740 0.0006747 20.580 879 895 0.0005778 20.590 1091 1097 0.0004665 20.600 1426 1345 0.0003560 20.610 1634 1631 0.0003111 20.620 1980 1925 0.0002568 20.630 2210 2159 0.0002303 20.640 2149 2231 0.0002367 20.650 2204 2077 0.0002303 20.660 1772 1759 0.0002863 20.670 1450 1408 0.0003507 20.680 1132 1113 0.0004489 20.690 905 891 0.0005615 20.700 685 731 0.0007425 20.710 618 615 0.0008210 20.720 563 530 0.0009018 20.730 494 467 0.0010273 20.740 445 419 0.0011413 20.750 362 382 0.0014027 20.760 332 353 0.0015259 20.770 323 329 0.0015747 20.780 319 310 0.0016000 20.790 325 295 0.0015623 20.800 330 282 0.0015379 20.810 297 272 0.0017075 20.820 271 263 0.0018740 20.830 267 255 0.0019069 20.840 246 249 0.0020661 20.850 262 243 0.0019407 20.860 236 239 0.0021633 20.870 212 235 0.0024029 20.880 210 233 0.0024267 20.890 246 231 0.0020661 20.900 222 229 0.0022893 20.910 246 228 0.0020661 20.920 271 227 0.0018740 20.930 265 225 0.0019237 20.940 246 224 0.0020661 20.950 240 224 0.0021236 20.960 265 223 0.0019237 20.970 206 224 0.0024752 20.980 222 224 0.0022893 20.990 260 225 0.0019579 21.000 250 226 0.0020291 21.010 279 227 0.0018263 21.020 218 229 0.0023338 21.030 252 231 0.0020291 21.040 226 234 0.0022461 21.050 242 238 0.0021042 21.060 289 243 0.0017654 21.070 236 248 0.0021633 21.080 275 255 0.0018579 21.090 257 264 0.0019753 21.100 283 275 0.0017955 21.110 379 289 0.0013418 21.120 318 307 0.0016000 21.130 395 330 0.0012847 21.140 364 361 0.0014027 21.150 432 403 0.0011728 21.160 458 459 0.0011111 21.170 625 533 0.0008163 21.180 725 626 0.0006999 21.190 779 738 0.0006541 21.200 1018 860 0.0005005 21.210 1014 973 0.0005027 21.220 1170 1041 0.0004358 21.230 1101 1027 0.0004625 21.240 989 928 0.0005142 21.250 908 788 0.0005615 21.260 682 655 0.0007465 21.270 603 550 0.0008451 21.280 462 473 0.0011037 21.290 446 418 0.0011413 21.300 375 378 0.0013516 21.310 360 350 0.0014133 21.320 287 330 0.0017803 21.330 316 317 0.0016129 21.340 277 308 0.0018420 21.350 342 304 0.0014907 21.360 242 304 0.0021042 21.370 289 308 0.0017654 21.380 295 316 0.0017217 21.390 356 330 0.0014348 21.400 354 348 0.0014348 21.410 383 372 0.0013320 21.420 432 399 0.0011728 21.430 413 427 0.0012311 21.440 476 448 0.0010680 21.450 529 457 0.0009645 21.460 480 447 0.0010610 21.470 440 421 0.0011569 21.480 413 388 0.0012311 21.490 393 356 0.0012939 21.500 383 330 0.0013223 21.510 305 310 0.0016660 21.520 313 295 0.0016259 21.530 267 285 0.0019069 21.540 275 278 0.0018420 21.550 266 273 0.0019069 21.560 226 270 0.0022461 21.570 256 269 0.0019930 21.580 307 270 0.0016525 21.590 285 272 0.0017803 21.600 285 276 0.0017803 21.610 258 281 0.0019753 21.620 266 288 0.0019069 21.630 293 297 0.0017361 21.640 315 308 0.0016129 21.650 344 322 0.0014793 21.660 350 339 0.0014457 21.670 337 362 0.0015140 21.680 331 391 0.0015379 21.690 398 429 0.0012755 21.700 453 478 0.0011186 21.710 496 545 0.0010207 21.720 638 639 0.0007980 21.730 693 771 0.0007344 21.740 955 959 0.0005309 21.750 1174 1217 0.0004322 21.760 1619 1554 0.0003133 21.770 1932 1966 0.0002627 21.780 2428 2420 0.0002094 21.790 2871 2805 0.0001768 21.800 2887 2911 0.0001759 21.810 2621 2597 0.0001934 21.820 1989 2042 0.0002552 21.830 1446 1528 0.0003507 21.840 1174 1153 0.0004322 21.850 891 900 0.0005696 21.860 734 729 0.0006925 21.870 654 611 0.0007759 21.880 520 527 0.0009766 21.890 497 466 0.0010207 21.900 451 421 0.0011261 21.910 408 387 0.0012398 21.920 371 360 0.0013717 21.930 349 340 0.0014568 21.940 367 323 0.0013820 21.950 331 310 0.0015259 21.960 319 300 0.0015873 21.970 298 292 0.0017075 21.980 296 286 0.0017075 21.990 284 281 0.0017803 22.000 292 277 0.0017361 22.010 286 275 0.0017654 22.020 300 274 0.0016935 22.030 306 274 0.0016525 22.040 278 275 0.0018263 22.050 288 278 0.0017654 22.060 312 281 0.0016259 22.070 264 287 0.0019237 22.080 235 293 0.0021633 22.090 345 302 0.0014680 22.100 357 313 0.0014133 22.110 326 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36.100 166 154 0.0028905 36.110 152 155 0.0031562 36.120 181 156 0.0026570 36.130 160 157 0.0029861 36.140 169 158 0.0028597 36.150 148 159 0.0032653 36.160 137 161 0.0035013 36.170 162 162 0.0029537 36.180 156 164 0.0030864 36.190 183 167 0.0026298 36.200 212 169 0.0022676 36.210 144 172 0.0033412 36.220 188 176 0.0025508 36.230 133 180 0.0035856 36.240 185 185 0.0025767 36.250 150 192 0.0031919 36.260 188 199 0.0025508 36.270 219 209 0.0021836 36.280 200 221 0.0024029 36.290 217 237 0.0022041 36.300 231 257 0.0020661 36.310 200 283 0.0024029 36.320 309 319 0.0015500 36.330 315 367 0.0015259 36.340 375 431 0.0012755 36.350 507 515 0.0009467 36.360 668 616 0.0007188 36.370 747 717 0.0006409 36.380 805 783 0.0005949 36.390 766 773 0.0006250 36.400 682 690 0.0007036 36.410 549 580 0.0008753 36.420 526 484 0.0009127 36.430 421 413 0.0011413 36.440 365 362 0.0013127 36.450 307 325 0.0015623 36.460 259 298 0.0018579 36.470 257 279 0.0018740 36.480 250 265 0.0019069 36.490 263 256 0.0018263 36.500 238 252 0.0020109 36.510 244 251 0.0019579 36.520 273 256 0.0017507 36.530 286 265 0.0016797 36.540 294 282 0.0016259 36.550 311 306 0.0015379 36.560 351 340 0.0013717 36.570 384 380 0.0012486 36.580 434 417 0.0011037 36.590 467 436 0.0010273 36.600 405 426 0.0011809 36.610 382 393 0.0012575 36.620 403 353 0.0011891 36.630 319 319 0.0015023 36.640 282 295 0.0017075 36.650 240 280 0.0019930 36.660 238 272 0.0020109 36.670 257 270 0.0018740 36.680 246 273 0.0019407 36.690 290 281 0.0016525 36.700 282 294 0.0017075 36.710 292 313 0.0016391 36.720 313 337 0.0015259 36.730 363 368 0.0013223 36.740 409 404 0.0011728 36.750 432 445 0.0011111 36.760 497 489 0.0009645 36.770 572 531 0.0008402 36.780 595 565 0.0008071 36.790 628 581 0.0007631 36.800 566 573 0.0008451 36.810 543 543 0.0008858 36.820 528 499 0.0009072 36.830 459 450 0.0010473 36.840 348 402 0.0013717 36.850 373 360 0.0012847 36.860 298 325 0.0016129 36.870 313 295 0.0015379 36.880 240 271 0.0019930 36.890 238 252 0.0020109 36.900 206 236 0.0023338 36.910 194 223 0.0024752 36.920 186 212 0.0025767 36.930 190 203 0.0025252 36.940 165 196 0.0029218 36.950 184 189 0.0026031 36.960 175 184 0.0027412 36.970 163 179 0.0029537 36.980 142 176 0.0033802 36.990 171 172 0.0027995 37.000 161 169 0.0029861 37.010 163 167 0.0029537 37.020 127 165 0.0037638 37.030 194 164 0.0024752 37.040 167 162 0.0028597 37.050 140 162 0.0034199 37.060 146 161 0.0033029 37.070 150 161 0.0031919 37.080 169 162 0.0028293 37.090 156 163 0.0030524 37.100 179 165 0.0026846 37.110 194 167 0.0024752 37.120 181 169 0.0026570 37.130 150 171 0.0031919 37.140 175 171 0.0027412 37.150 160 170 0.0029861 37.160 171 168 0.0027995 37.170 152 164 0.0031562 37.180 163 161 0.0029537 37.190 160 158 0.0029861 37.200 131 155 0.0036731 37.210 123 153 0.0039063 37.220 183 151 0.0026031 37.230 131 150 0.0036731 37.240 129 149 0.0037180 37.250 117 149 0.0041091 37.260 152 149 0.0031562 37.270 144 149 0.0033412 37.280 163 150 0.0029537 37.290 142 149 0.0033802 37.300 171 148 0.0027995 37.310 144 147 0.0033412 37.320 133 146 0.0035856 37.330 135 145 0.0035431 37.340 160 144 0.0029861 37.350 158 144 0.0030190 37.360 162 143 0.0029537 37.370 135 143 0.0035431 37.380 154 143 0.0031210 37.390 150 144 0.0031919 37.400 142 144 0.0033802 37.410 123 144 0.0039063 37.420 175 145 0.0027412 37.430 146 145 0.0033029 37.440 137 146 0.0035013 37.450 123 147 0.0039063 37.460 98 149 0.0048902 37.470 140 150 0.0034602 37.480 152 152 0.0031562 37.490 150 155 0.0031919 37.500 169 157 0.0028597 37.510 139 161 0.0034602 37.520 156 165 0.0030864 37.530 194 170 0.0024752 37.540 152 176 0.0031562 37.550 183 183 0.0026298 37.560 183 192 0.0026298 37.570 223 202 0.0021633 37.580 250 213 0.0019237 37.590 241 225 0.0019930 37.600 235 235 0.0020475 37.610 291 243 0.0016525 37.620 252 247 0.0019069 37.630 295 245 0.0016259 37.640 262 238 0.0018420 37.650 210 229 0.0022893 37.660 216 218 0.0022250 37.670 189 208 0.0025508 37.680 216 199 0.0022250 37.690 166 192 0.0028905 37.700 187 187 0.0025767 37.710 183 183 0.0026298 37.720 181 181 0.0026570 37.730 162 181 0.0029861 37.740 156 183 0.0030864 37.750 183 186 0.0026298 37.760 152 191 0.0031562 37.770 204 196 0.0023565 37.780 193 200 0.0025000 37.790 202 204 0.0023795 37.800 224 207 0.0021433 37.810 204 210 0.0023565 37.820 177 212 0.0027127 37.830 199 211 0.0024029 37.840 212 206 0.0022676 37.850 164 199 0.0029218 37.860 210 191 0.0022893 37.870 174 183 0.0027701 37.880 195 175 0.0024752 37.890 181 168 0.0026570 37.900 145 163 0.0033029 37.910 152 158 0.0031919 37.920 181 155 0.0026570 37.930 158 152 0.0030524 37.940 162 149 0.0029861 37.950 160 147 0.0030190 37.960 166 146 0.0028905 37.970 141 145 0.0034199 37.980 193 144 0.0025000 37.990 149 143 0.0032283 38.000 102 143 0.0047562 38.010 160 143 0.0030190 38.020 122 144 0.0039555 38.030 116 145 0.0041623 38.040 135 147 0.0035856 38.050 162 149 0.0029861 38.060 164 152 0.0029537 38.070 162 156 0.0029861 38.080 174 160 0.0027701 38.090 180 163 0.0026846 38.100 195 165 0.0024752 38.110 166 165 0.0029218 38.120 195 162 0.0024752 38.130 197 157 0.0024507 38.140 174 153 0.0027701 38.150 184 148 0.0026298 38.160 153 145 0.0031562 38.170 143 142 0.0033802 38.180 126 140 0.0038104 38.190 141 138 0.0034199 38.200 172 137 0.0027995 38.210 168 135 0.0028905 38.220 149 135 0.0032283 38.230 128 134 0.0037638 38.240 128 133 0.0037638 38.250 147 133 0.0032653 38.260 147 133 0.0032653 38.270 124 132 0.0039063 38.280 139 132 0.0034602 38.290 147 132 0.0032653 38.300 108 132 0.0045043 38.310 129 133 0.0037638 38.320 174 133 0.0027701 38.330 153 133 0.0031562 38.340 112 134 0.0043283 38.350 139 135 0.0034602 38.360 126 136 0.0038104 38.370 158 138 0.0030524 38.380 114 140 0.0042166 38.390 122 142 0.0039555 38.400 172 145 0.0027995 38.410 156 149 0.0030864 38.420 174 153 0.0027701 38.430 149 156 0.0032283 38.440 187 158 0.0025767 38.450 151 158 0.0031919 38.460 170 155 0.0028293 38.470 145 151 0.0033029 38.480 176 147 0.0027412 38.490 122 144 0.0039555 38.500 118 141 0.0040570 38.510 141 140 0.0034199 38.520 168 138 0.0028597 38.530 145 137 0.0033029 38.540 131 137 0.0036731 38.550 139 137 0.0034602 38.560 139 138 0.0034602 38.570 160 139 0.0030190 38.580 131 140 0.0036731 38.590 143 143 0.0033412 38.600 118 146 0.0040570 38.610 160 151 0.0030190 38.620 145 157 0.0033029 38.630 181 163 0.0026570 38.640 197 167 0.0024267 38.650 150 168 0.0032283 38.660 154 164 0.0031210 38.670 139 158 0.0034602 38.680 141 152 0.0034199 38.690 108 146 0.0044444 38.700 141 142 0.0033802 38.710 131 139 0.0036731 38.720 133 136 0.0036290 38.730 129 134 0.0037180 38.740 167 133 0.0028905 38.750 137 132 0.0035013 38.760 154 131 0.0031210 38.770 148 131 0.0032653 38.780 135 130 0.0035431 38.790 123 130 0.0039063 38.800 158 130 0.0030524 38.810 119 130 0.0040570 38.820 160 130 0.0029861 38.830 156 130 0.0030864 38.840 158 130 0.0030190 38.850 144 130 0.0033412 38.860 117 131 0.0041091 38.870 165 131 0.0029218 38.880 117 131 0.0041091 38.890 179 132 0.0026846 38.900 123 133 0.0039063 38.910 148 133 0.0032283 38.920 144 134 0.0033412 38.930 140 135 0.0034199 38.940 163 136 0.0029537 38.950 129 138 0.0037180 38.960 152 139 0.0031562 38.970 152 140 0.0031562 38.980 150 141 0.0031919 38.990 127 142 0.0037638 39.000 154 144 0.0030864 39.010 184 146 0.0026031 39.020 152 148 0.0031562 39.030 163 151 0.0029537 39.040 163 155 0.0029537 39.050 148 160 0.0032283 39.060 150 166 0.0031919 39.070 169 174 0.0028293 39.080 201 183 0.0023795 39.090 209 192 0.0022893 39.100 205 200 0.0023338 39.110 207 205 0.0023114 39.120 203 206 0.0023565 39.130 180 205 0.0026570 39.140 188 202 0.0025252 39.150 161 200 0.0029537 39.160 189 198 0.0025252 39.170 197 196 0.0024267 39.180 172 193 0.0027701 39.190 203 189 0.0023565 39.200 151 185 0.0031562 39.210 147 182 0.0032653 39.220 191 180 0.0025000 39.230 189 180 0.0025252 39.240 164 182 0.0029218 39.250 206 185 0.0023114 39.260 195 192 0.0024507 39.270 191 201 0.0025000 39.280 218 213 0.0021836 39.290 195 228 0.0024507 39.300 225 241 0.0021236 39.310 231 249 0.0020661 39.320 235 250 0.0020291 39.330 258 246 0.0018420 39.340 225 239 0.0021236 39.350 227 235 0.0021042 39.360 222 236 0.0021433 39.370 235 242 0.0020291 39.380 237 254 0.0020109 39.390 241 272 0.0019753 39.400 262 299 0.0018108 39.410 353 335 0.0013516 39.420 355 382 0.0013418 39.430 430 436 0.0011037 39.440 496 480 0.0009645 39.450 592 495 0.0008071 39.460 430 469 0.0011037 39.470 430 423 0.0011037 39.480 414 378 0.0011491 39.490 363 343 0.0013127 39.500 328 316 0.0014568 39.510 321 294 0.0014793 39.520 290 273 0.0016391 39.530 275 255 0.0017361 39.540 225 238 0.0021236 39.550 231 225 0.0020661 39.560 250 214 0.0019069 39.570 229 206 0.0020850 39.580 237 201 0.0020109 39.590 235 198 0.0020291 39.600 185 199 0.0025767 39.610 250 201 0.0019069 39.620 199 205 0.0023795 39.630 199 209 0.0023795 39.640 235 210 0.0020291 39.650 212 206 0.0022461 39.660 166 200 0.0028597 39.670 204 194 0.0023338 39.680 223 189 0.0021433 39.690 176 187 0.0026846 39.700 187 188 0.0025508 39.710 187 193 0.0025508 39.720 233 202 0.0020475 39.730 168 218 0.0028293 39.740 263 242 0.0018108 39.750 210 276 0.0022676 39.760 286 316 0.0016660 39.770 332 348 0.0014348 39.780 343 350 0.0013923 39.790 242 320 0.0019753 39.800 252 278 0.0018904 39.810 235 241 0.0020291 39.820 225 215 0.0021236 39.830 204 198 0.0023338 39.840 221 186 0.0021633 39.850 195 179 0.0024267 39.860 166 175 0.0028597 39.870 143 173 0.0033412 39.880 172 173 0.0027701 39.890 158 175 0.0030190 39.900 177 177 0.0026846 39.910 235 182 0.0020291 39.920 212 187 0.0022461 39.930 208 192 0.0022893 39.940 225 197 0.0021236 39.950 244 202 0.0019579 39.960 275 204 0.0017217 39.970 202 205 0.0023565 39.980 280 205 0.0017075 39.990 208 205 0.0022893 40.000 229 206 0.0020850 40.010 208 208 0.0022893 40.020 187 212 0.0025508 40.030 214 218 0.0022250 40.040 193 226 0.0024507 40.050 246 236 0.0019407 40.060 292 247 0.0016259 40.070 261 256 0.0018263 40.080 313 262 0.0015140 40.090 334 263 0.0014240 40.100 307 259 0.0015500 40.110 250 251 0.0019069 40.120 250 240 0.0019069 40.130 246 228 0.0019407 40.140 214 216 0.0022250 40.150 170 206 0.0027995 40.160 214 196 0.0022250 40.170 174 188 0.0027412 40.180 137 180 0.0035013 40.190 183 173 0.0026031 40.200 145 167 0.0032653 40.210 151 162 0.0031562 40.220 145 159 0.0033029 40.230 139 156 0.0034199 40.240 168 154 0.0028293 40.250 179 152 0.0026570 40.260 185 151 0.0025767 40.270 126 151 0.0037638 40.280 172 152 0.0027701 40.290 141 153 0.0033802 #===END data_As11 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P0.89 As0.11 O4)3 O H' _chemical_formula_sum 'As0.33 Ca5 H O13 P2.67' _chemical_formula_weight 516.8 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.4655(3) _cell_length_b 9.4655(3) _cell_length_c 6.9068(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 535.91(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69850 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.03972 _pd_proc_ls_prof_wR_factor 0.05194 _pd_proc_ls_prof_wR_expected 0.02702 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 1.922 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.0 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69850 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As11_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.32514(45) 0.48279(48) 0.25 1 0.744(16) O2 O 6 0.58587(47) 0.46366(51) 0.25 1 0.744(16) O3 O 12 0.34162(32) 0.25584(37) 0.06850(36) 1 0.744(16) As1 As 6 0.39655(19) 0.36850(18) 0.25 0.1101(25) 0.744(16) P1 P 6 0.39655(19) 0.36850(18) 0.25 0.8899(25) 0.744(16) Ca1 Ca 4 0.3333333 0.6666667 0.00130(32) 1 0.744(16) Ca2 Ca 6 0.24660(19) 0.99367(22) 0.25 1 0.744(16) O4 O 4 0 0 0.6939(10) 0.5 0.744(16) ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As11_pattern _pd_block_id HAP_As11_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 753 680 0.0024029 2.010 753 675 0.0024029 2.020 721 671 0.0025000 2.030 708 666 0.0025508 2.040 739 661 0.0024507 2.050 731 657 0.0024752 2.060 704 653 0.0025767 2.070 699 648 0.0025767 2.080 690 644 0.0026298 2.090 677 640 0.0026570 2.100 690 635 0.0026298 2.110 706 631 0.0025508 2.120 690 627 0.0026298 2.130 661 623 0.0027412 2.140 695 619 0.0026031 2.150 657 615 0.0027412 2.160 678 611 0.0026570 2.170 638 607 0.0028293 2.180 623 603 0.0028905 2.190 620 599 0.0029218 2.200 629 595 0.0028597 2.210 642 591 0.0028293 2.220 639 588 0.0028293 2.230 634 584 0.0028597 2.240 631 580 0.0028597 2.250 594 577 0.0030524 2.260 593 573 0.0030524 2.270 590 569 0.0030524 2.280 561 566 0.0032283 2.290 604 562 0.0029861 2.300 579 559 0.0031210 2.310 578 556 0.0031210 2.320 563 552 0.0031919 2.330 542 549 0.0033412 2.340 548 545 0.0033029 2.350 548 542 0.0033029 2.360 558 539 0.0032283 2.370 541 536 0.0033412 2.380 522 533 0.0034602 2.390 504 529 0.0035856 2.400 508 526 0.0035431 2.410 547 523 0.0033029 2.420 541 520 0.0033412 2.430 491 517 0.0036731 2.440 528 514 0.0034199 2.450 511 511 0.0035431 2.460 542 508 0.0033412 2.470 516 505 0.0035013 2.480 499 502 0.0036290 2.490 498 499 0.0036290 2.500 488 497 0.0037180 2.510 497 494 0.0036290 2.520 489 491 0.0036731 2.530 482 488 0.0037638 2.540 495 486 0.0036731 2.550 505 483 0.0035856 2.560 489 480 0.0037180 2.570 438 478 0.0041091 2.580 447 475 0.0040570 2.590 438 472 0.0041091 2.600 466 470 0.0038579 2.610 484 467 0.0037180 2.620 472 465 0.0038104 2.630 484 462 0.0037180 2.640 455 460 0.0039555 2.650 442 457 0.0041091 2.660 443 455 0.0040570 2.670 452 452 0.0040058 2.680 416 450 0.0043283 2.690 459 448 0.0039555 2.700 464 445 0.0039063 2.710 410 443 0.0043858 2.720 412 441 0.0043858 2.730 424 438 0.0042719 2.740 420 436 0.0043283 2.750 428 434 0.0042166 2.760 428 431 0.0042166 2.770 431 429 0.0042166 2.780 410 427 0.0043858 2.790 416 425 0.0043283 2.800 407 423 0.0044444 2.810 415 421 0.0043858 2.820 413 419 0.0043858 2.830 410 416 0.0043858 2.840 414 414 0.0043858 2.850 396 412 0.0045654 2.860 405 410 0.0044444 2.870 406 408 0.0044444 2.880 384 406 0.0046913 2.890 380 404 0.0047562 2.900 368 402 0.0048902 2.910 398 400 0.0045654 2.920 380 398 0.0047562 2.930 391 396 0.0046277 2.940 397 395 0.0045654 2.950 420 393 0.0043283 2.960 388 391 0.0046277 2.970 391 389 0.0046277 2.980 374 387 0.0048225 2.990 384 385 0.0046913 3.000 369 383 0.0048902 3.010 364 382 0.0049593 3.020 383 380 0.0046913 3.030 375 378 0.0048225 3.040 360 376 0.0050299 3.050 346 375 0.0052510 3.060 335 373 0.0054066 3.070 348 371 0.0051757 3.080 363 370 0.0049593 3.090 352 368 0.0051757 3.100 360 366 0.0050299 3.110 337 365 0.0053279 3.120 358 363 0.0050299 3.130 340 361 0.0053279 3.140 330 360 0.0054870 3.150 342 358 0.0052510 3.160 323 357 0.0055692 3.170 343 355 0.0052510 3.180 327 353 0.0054870 3.190 363 352 0.0049593 3.200 329 350 0.0054870 3.210 318 349 0.0056532 3.220 358 347 0.0050299 3.230 347 346 0.0051757 3.240 350 344 0.0051757 3.250 321 343 0.0056532 3.260 344 341 0.0052510 3.270 339 340 0.0053279 3.280 332 339 0.0054066 3.290 316 337 0.0057392 3.300 319 336 0.0056532 3.310 306 334 0.0059172 3.320 311 333 0.0058272 3.330 318 332 0.0056532 3.340 331 330 0.0054870 3.350 332 329 0.0054066 3.360 336 328 0.0054066 3.370 316 326 0.0057392 3.380 320 325 0.0056532 3.390 317 324 0.0056532 3.400 304 322 0.0059172 3.410 302 321 0.0060093 3.420 305 320 0.0059172 3.430 311 319 0.0058272 3.440 292 317 0.0062000 3.450 296 316 0.0061035 3.460 291 315 0.0062000 3.470 302 314 0.0060093 3.480 276 312 0.0065036 3.490 305 311 0.0059172 3.500 312 310 0.0058272 3.510 282 309 0.0064000 3.520 289 308 0.0062988 3.530 301 306 0.0060093 3.540 289 305 0.0062000 3.550 275 304 0.0066098 3.560 295 303 0.0061035 3.570 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304 0.0089000 10.610 313 305 0.0090703 10.620 317 305 0.0090703 10.630 297 305 0.0096117 10.640 324 306 0.0089000 10.650 310 307 0.0092456 10.660 309 307 0.0092456 10.670 301 307 0.0094260 10.680 296 307 0.0096117 10.690 301 307 0.0094260 10.700 317 308 0.0090703 10.710 308 308 0.0092456 10.720 314 308 0.0090703 10.730 311 308 0.0092456 10.740 303 308 0.0094260 10.750 306 309 0.0094260 10.760 313 309 0.0090703 10.770 315 309 0.0090703 10.780 287 309 0.0100000 10.790 304 310 0.0094260 10.800 314 310 0.0090703 10.810 295 310 0.0096117 10.820 308 310 0.0092456 10.830 302 311 0.0094260 10.840 311 311 0.0092456 10.850 306 311 0.0094260 10.860 314 312 0.0090703 10.870 304 312 0.0094260 10.880 311 312 0.0092456 10.890 328 313 0.0087344 10.900 311 313 0.0092456 10.910 297 313 0.0096117 10.920 313 314 0.0090703 10.930 317 314 0.0090703 10.940 325 315 0.0087344 10.950 313 315 0.0090703 10.960 313 316 0.0090703 10.970 326 316 0.0087344 10.980 311 316 0.0092456 10.990 321 317 0.0089000 11.000 316 317 0.0090703 11.010 307 318 0.0092456 11.020 315 319 0.0090703 11.030 329 319 0.0087344 11.040 308 320 0.0092456 11.050 309 320 0.0092456 11.060 313 321 0.0090703 11.070 318 322 0.0090703 11.080 330 323 0.0087344 11.090 332 323 0.0085734 11.100 339 324 0.0084168 11.110 345 325 0.0082645 11.120 307 326 0.0092456 11.130 314 328 0.0090703 11.140 335 329 0.0085734 11.150 344 330 0.0082645 11.160 334 332 0.0085734 11.170 321 334 0.0089000 11.180 330 336 0.0085734 11.190 339 338 0.0084168 11.200 329 340 0.0087344 11.210 333 344 0.0085734 11.220 331 347 0.0085734 11.230 342 352 0.0082645 11.240 354 357 0.0081162 11.250 357 363 0.0079719 11.260 358 371 0.0079719 11.270 391 379 0.0073051 11.280 401 389 0.0070616 11.290 375 400 0.0075614 11.300 392 412 0.0073051 11.310 421 426 0.0067186 11.320 432 441 0.0066098 11.330 434 455 0.0066098 11.340 439 468 0.0065036 11.350 461 474 0.0062000 11.360 452 473 0.0062988 11.370 448 466 0.0064000 11.380 430 457 0.0066098 11.390 437 451 0.0065036 11.400 409 449 0.0069444 11.410 415 453 0.0068301 11.420 376 461 0.0075614 11.430 382 476 0.0074316 11.440 412 497 0.0069444 11.450 423 527 0.0067186 11.460 427 567 0.0066098 11.470 474 622 0.0060093 11.480 516 694 0.0054870 11.490 589 786 0.0048225 11.500 720 897 0.0039555 11.510 843 1031 0.0033802 11.520 1057 1189 0.0026846 11.530 1270 1377 0.0022250 11.540 1567 1597 0.0018108 11.550 1898 1854 0.0014907 11.560 2412 2143 0.0011728 11.570 3018 2438 0.0009352 11.580 3610 2658 0.0007846 11.590 3701 2661 0.0007631 11.600 2894 2362 0.0009766 11.610 1976 1900 0.0014348 11.620 1343 1475 0.0021042 11.630 1049 1162 0.0026846 11.640 811 946 0.0035013 11.650 678 798 0.0041623 11.660 617 694 0.0045654 11.670 525 620 0.0054066 11.680 472 565 0.0060093 11.690 470 524 0.0060093 11.700 443 492 0.0064000 11.710 424 467 0.0066098 11.720 407 446 0.0069444 11.730 405 430 0.0069444 11.740 378 417 0.0074316 11.750 396 405 0.0071818 11.760 376 396 0.0074316 11.770 386 388 0.0073051 11.780 367 381 0.0076947 11.790 377 375 0.0074316 11.800 349 370 0.0081162 11.810 367 365 0.0076947 11.820 368 361 0.0076947 11.830 362 358 0.0078315 11.840 353 355 0.0079719 11.850 367 352 0.0076947 11.860 343 350 0.0082645 11.870 332 347 0.0084168 11.880 357 345 0.0078315 11.890 340 344 0.0082645 11.900 350 342 0.0079719 11.910 339 340 0.0082645 11.920 336 339 0.0084168 11.930 354 338 0.0079719 11.940 313 337 0.0089000 11.950 336 336 0.0084168 11.960 312 335 0.0090703 11.970 334 334 0.0084168 11.980 352 333 0.0079719 11.990 330 332 0.0085734 12.000 320 331 0.0087344 12.010 312 331 0.0090703 12.020 345 330 0.0081162 12.030 325 330 0.0085734 12.040 320 329 0.0087344 12.050 304 329 0.0092456 12.060 336 328 0.0082645 12.070 335 328 0.0084168 12.080 330 327 0.0085734 12.090 321 327 0.0087344 12.100 314 327 0.0089000 12.110 325 326 0.0085734 12.120 342 326 0.0081162 12.130 320 326 0.0087344 12.140 345 326 0.0081162 12.150 326 326 0.0085734 12.160 319 325 0.0087344 12.170 304 325 0.0092456 12.180 325 325 0.0085734 12.190 323 325 0.0087344 12.200 311 325 0.0090703 12.210 325 325 0.0085734 12.220 328 325 0.0085734 12.230 341 325 0.0082645 12.240 318 325 0.0087344 12.250 324 326 0.0085734 12.260 321 326 0.0087344 12.270 312 326 0.0089000 12.280 317 326 0.0089000 12.290 325 327 0.0085734 12.300 348 327 0.0079719 12.310 332 328 0.0084168 12.320 318 328 0.0087344 12.330 320 329 0.0087344 12.340 333 330 0.0084168 12.350 317 331 0.0087344 12.360 319 332 0.0087344 12.370 341 334 0.0081162 12.380 339 335 0.0082645 12.390 340 337 0.0082645 12.400 317 340 0.0087344 12.410 334 343 0.0082645 12.420 328 346 0.0085734 12.430 350 351 0.0079719 12.440 336 356 0.0082645 12.450 352 364 0.0079719 12.460 356 373 0.0078315 12.470 357 386 0.0078315 12.480 364 401 0.0076947 12.490 410 421 0.0068301 12.500 409 445 0.0068301 12.510 458 474 0.0061035 12.520 462 508 0.0060093 12.530 536 548 0.0051757 12.540 581 592 0.0047562 12.550 657 642 0.0042166 12.560 740 691 0.0037638 12.570 822 729 0.0033802 12.580 854 736 0.0032653 12.590 771 700 0.0036290 12.600 657 633 0.0042166 12.610 591 563 0.0046913 12.620 506 505 0.0054870 12.630 461 463 0.0060093 12.640 461 433 0.0060093 12.650 424 413 0.0066098 12.660 406 398 0.0068301 12.670 408 388 0.0068301 12.680 389 382 0.0071818 12.690 400 377 0.0069444 12.700 376 375 0.0074316 12.710 377 374 0.0074316 12.720 396 375 0.0070616 12.730 367 378 0.0075614 12.740 401 382 0.0069444 12.750 397 388 0.0069444 12.760 412 396 0.0067186 12.770 397 408 0.0069444 12.780 425 419 0.0065036 12.790 404 434 0.0068301 12.800 450 453 0.0062000 12.810 450 477 0.0062000 12.820 515 506 0.0054066 12.830 530 543 0.0052510 12.840 564 586 0.0049593 12.850 619 638 0.0045043 12.860 700 696 0.0039555 12.870 741 763 0.0037638 12.880 787 834 0.0035431 12.890 864 908 0.0032283 12.900 925 976 0.0029861 12.910 978 1025 0.0028293 12.920 938 1041 0.0029537 12.930 934 1012 0.0029861 12.940 880 943 0.0031562 12.950 829 850 0.0033412 12.960 768 756 0.0036290 12.970 695 672 0.0040058 12.980 603 604 0.0046277 12.990 555 549 0.0049593 13.000 532 507 0.0052510 13.010 514 473 0.0054066 13.020 464 447 0.0060093 13.030 438 426 0.0062988 13.040 415 409 0.0067186 13.050 433 396 0.0064000 13.060 387 385 0.0071818 13.070 407 375 0.0068301 13.080 400 368 0.0069444 13.090 372 361 0.0074316 13.100 364 356 0.0075614 13.110 393 352 0.0070616 13.120 352 349 0.0078315 13.130 356 345 0.0078315 13.140 344 342 0.0081162 13.150 381 339 0.0073051 13.160 354 336 0.0078315 13.170 337 334 0.0082645 13.180 361 332 0.0076947 13.190 357 331 0.0078315 13.200 344 329 0.0081162 13.210 347 328 0.0079719 13.220 342 326 0.0081162 13.230 336 325 0.0082645 13.240 357 324 0.0076947 13.250 360 323 0.0076947 13.260 326 323 0.0084168 13.270 327 322 0.0084168 13.280 347 322 0.0079719 13.290 333 321 0.0082645 13.300 331 321 0.0084168 13.310 331 321 0.0084168 13.320 329 323 0.0084168 13.330 322 323 0.0085734 13.340 319 322 0.0087344 13.350 327 322 0.0084168 13.360 344 322 0.0079719 13.370 338 322 0.0081162 13.380 334 322 0.0082645 13.390 344 322 0.0079719 13.400 330 322 0.0084168 13.410 327 322 0.0084168 13.420 346 322 0.0079719 13.430 329 323 0.0084168 13.440 351 323 0.0078315 13.450 352 323 0.0078315 13.460 347 323 0.0079719 13.470 339 324 0.0081162 13.480 335 324 0.0082645 13.490 338 325 0.0081162 13.500 342 325 0.0081162 13.510 342 326 0.0081162 13.520 353 326 0.0078315 13.530 317 327 0.0087344 13.540 321 328 0.0085734 13.550 347 329 0.0079719 13.560 355 330 0.0078315 13.570 346 331 0.0079719 13.580 339 332 0.0081162 13.590 336 333 0.0082645 13.600 357 334 0.0076947 13.610 353 335 0.0078315 13.620 364 336 0.0075614 13.630 356 338 0.0076947 13.640 345 339 0.0079719 13.650 364 341 0.0075614 13.660 328 342 0.0084168 13.670 366 344 0.0075614 13.680 366 346 0.0075614 13.690 360 348 0.0076947 13.700 383 351 0.0071818 13.710 365 353 0.0075614 13.720 362 356 0.0075614 13.730 388 359 0.0070616 13.740 401 362 0.0068301 13.750 377 365 0.0073051 13.760 409 369 0.0067186 13.770 390 373 0.0070616 13.780 390 377 0.0070616 13.790 393 382 0.0069444 13.800 424 387 0.0065036 13.810 417 392 0.0066098 13.820 420 398 0.0065036 13.830 405 405 0.0068301 13.840 431 412 0.0064000 13.850 437 419 0.0062988 13.860 456 428 0.0060093 13.870 481 437 0.0057392 13.880 464 447 0.0059172 13.890 502 459 0.0054870 13.900 485 471 0.0056532 13.910 490 486 0.0055692 13.920 520 502 0.0052510 13.930 556 519 0.0049593 13.940 537 540 0.0051020 13.950 595 563 0.0046277 13.960 615 589 0.0044444 13.970 646 620 0.0042166 13.980 673 655 0.0040570 13.990 751 697 0.0036290 14.000 789 745 0.0034602 14.010 836 804 0.0032653 14.020 887 874 0.0030864 14.030 951 959 0.0028597 14.040 1095 1063 0.0025000 14.050 1230 1193 0.0022250 14.060 1345 1355 0.0020291 14.070 1579 1558 0.0017361 14.080 1805 1810 0.0015140 14.090 2164 2119 0.0012575 14.100 2524 2489 0.0010821 14.110 2958 2923 0.0009239 14.120 3473 3419 0.0007846 14.130 4040 3965 0.0006747 14.140 4546 4533 0.0006007 14.150 5000 5066 0.0005459 14.160 5215 5464 0.0005236 14.170 5233 5599 0.0005213 14.180 5052 5383 0.0005383 14.190 4670 4858 0.0005834 14.200 4071 4184 0.0006677 14.210 3594 3525 0.0007589 14.220 3064 2971 0.0008858 14.230 2588 2544 0.0010541 14.240 2276 2234 0.0011973 14.250 2040 2024 0.0013320 14.260 1894 1901 0.0014348 14.270 1867 1856 0.0014568 14.280 1852 1883 0.0014680 14.290 1967 1980 0.0013820 14.300 2162 2143 0.0012575 14.310 2395 2371 0.0011337 14.320 2786 2664 0.0009766 14.330 3126 3014 0.0008702 14.340 3510 3395 0.0007716 14.350 3806 3732 0.0007111 14.360 3860 3882 0.0007036 14.370 3664 3693 0.0007384 14.380 3183 3192 0.0008500 14.390 2591 2596 0.0010473 14.400 2112 2085 0.0012847 14.410 1789 1704 0.0015140 14.420 1452 1435 0.0018740 14.430 1307 1246 0.0020661 14.440 1150 1113 0.0023565 14.450 1042 1018 0.0026031 14.460 985 952 0.0027412 14.470 910 907 0.0029861 14.480 937 879 0.0028905 14.490 872 865 0.0031210 14.500 884 864 0.0030524 14.510 897 876 0.0030190 14.520 927 900 0.0029218 14.530 955 939 0.0028293 14.540 1009 994 0.0026846 14.550 1064 1069 0.0025508 14.560 1113 1168 0.0024267 14.570 1325 1295 0.0020475 14.580 1440 1453 0.0018740 14.590 1713 1646 0.0015747 14.600 1953 1874 0.0013820 14.610 2248 2136 0.0012056 14.620 2477 2424 0.0010964 14.630 2759 2724 0.0009827 14.640 2941 3008 0.0009183 14.650 3110 3229 0.0008702 14.660 3123 3330 0.0008651 14.670 3077 3265 0.0008805 14.680 2841 3034 0.0009526 14.690 2615 2693 0.0010339 14.700 2356 2318 0.0011491 14.710 1997 1969 0.0013616 14.720 1728 1672 0.0015623 14.730 1424 1431 0.0019069 14.740 1293 1239 0.0021042 14.750 1103 1086 0.0024507 14.760 954 965 0.0028293 14.770 869 868 0.0031210 14.780 769 790 0.0035431 14.790 747 726 0.0036290 14.800 662 674 0.0041091 14.810 636 630 0.0042719 14.820 593 593 0.0045654 14.830 564 562 0.0048225 14.840 561 536 0.0048225 14.850 514 513 0.0052510 14.860 474 494 0.0057392 14.870 474 477 0.0057392 14.880 468 463 0.0058272 14.890 442 450 0.0061035 14.900 439 440 0.0062000 14.910 432 431 0.0062988 14.920 413 423 0.0066098 14.930 429 417 0.0062988 14.940 413 412 0.0066098 14.950 399 408 0.0068301 14.960 406 405 0.0067186 14.970 403 403 0.0067186 14.980 410 403 0.0066098 14.990 412 404 0.0066098 15.000 397 407 0.0068301 15.010 401 412 0.0067186 15.020 433 419 0.0062988 15.030 461 429 0.0059172 15.040 450 442 0.0060093 15.050 457 461 0.0059172 15.060 481 486 0.0056532 15.070 545 520 0.0049593 15.080 576 566 0.0046913 15.090 643 628 0.0042166 15.100 730 710 0.0037180 15.110 851 815 0.0031919 15.120 1010 944 0.0026846 15.130 1183 1099 0.0022893 15.140 1339 1279 0.0020291 15.150 1555 1479 0.0017507 15.160 1709 1675 0.0015873 15.170 1797 1815 0.0015140 15.180 1726 1821 0.0015747 15.190 1563 1654 0.0017361 15.200 1296 1383 0.0021042 15.210 1153 1117 0.0023565 15.220 931 907 0.0029218 15.230 754 754 0.0035856 15.240 667 645 0.0040570 15.250 599 567 0.0045654 15.260 511 509 0.0053279 15.270 493 466 0.0054870 15.280 440 433 0.0062000 15.290 392 408 0.0069444 15.300 410 387 0.0066098 15.310 374 370 0.0073051 15.320 351 357 0.0076947 15.330 349 345 0.0076947 15.340 327 336 0.0082645 15.350 336 328 0.0081162 15.360 329 320 0.0082645 15.370 319 314 0.0084168 15.380 308 309 0.0087344 15.390 315 304 0.0085734 15.400 288 299 0.0094260 15.410 317 295 0.0085734 15.420 305 291 0.0089000 15.430 288 287 0.0094260 15.440 287 284 0.0094260 15.450 275 282 0.0098030 15.460 288 280 0.0094260 15.470 285 278 0.0094260 15.480 274 277 0.0098030 15.490 264 275 0.0102030 15.500 282 274 0.0096117 15.510 254 273 0.0106281 15.520 267 272 0.0100000 15.530 290 271 0.0092456 15.540 258 270 0.0104123 15.550 273 270 0.0098030 15.560 266 269 0.0102030 15.570 263 269 0.0102030 15.580 269 268 0.0100000 15.590 282 267 0.0096117 15.600 250 266 0.0108507 15.610 265 267 0.0102030 15.620 277 269 0.0096117 15.630 281 271 0.0096117 15.640 277 274 0.0096117 15.650 273 278 0.0098030 15.660 296 283 0.0090703 15.670 293 289 0.0090703 15.680 315 297 0.0085734 15.690 299 307 0.0089000 15.700 343 319 0.0078315 15.710 350 335 0.0076947 15.720 399 353 0.0067186 15.730 419 374 0.0064000 15.740 414 396 0.0065036 15.750 462 419 0.0057392 15.760 475 440 0.0056532 15.770 481 453 0.0055692 15.780 501 455 0.0053279 15.790 456 443 0.0058272 15.800 460 419 0.0058272 15.810 426 391 0.0062988 15.820 381 363 0.0069444 15.830 357 339 0.0074316 15.840 315 320 0.0084168 15.850 314 304 0.0085734 15.860 308 292 0.0085734 15.870 275 282 0.0096117 15.880 287 274 0.0092456 15.890 267 268 0.0100000 15.900 267 263 0.0100000 15.910 249 258 0.0106281 15.920 251 255 0.0106281 15.930 252 252 0.0106281 15.940 274 250 0.0098030 15.950 256 248 0.0104123 15.960 234 246 0.0113173 15.970 238 244 0.0110803 15.980 232 243 0.0113173 15.990 249 242 0.0106281 16.000 236 240 0.0113173 16.010 236 239 0.0113173 16.020 237 238 0.0110803 16.030 243 237 0.0108507 16.040 219 236 0.0120758 16.050 238 236 0.0110803 16.060 230 235 0.0115620 16.070 227 234 0.0115620 16.080 237 234 0.0110803 16.090 231 233 0.0115620 16.100 219 233 0.0120758 16.110 252 232 0.0104123 16.120 220 232 0.0120758 16.130 225 231 0.0118147 16.140 215 231 0.0123457 16.150 226 230 0.0118147 16.160 226 230 0.0118147 16.170 217 230 0.0120758 16.180 224 229 0.0118147 16.190 216 229 0.0123457 16.200 221 228 0.0120758 16.210 220 227 0.0120758 16.220 237 226 0.0110803 16.230 213 225 0.0123457 16.240 212 223 0.0123457 16.250 212 223 0.0126247 16.260 222 222 0.0118147 16.270 223 222 0.0118147 16.280 212 222 0.0126247 16.290 200 221 0.0132118 16.300 231 221 0.0115620 16.310 211 221 0.0126247 16.320 201 221 0.0132118 16.330 219 221 0.0120758 16.340 217 221 0.0123457 16.350 201 220 0.0132118 16.360 200 220 0.0132118 16.370 216 220 0.0123457 16.380 216 220 0.0123457 16.390 223 220 0.0118147 16.400 218 220 0.0120758 16.410 213 220 0.0123457 16.420 217 219 0.0123457 16.430 207 219 0.0129132 16.440 217 219 0.0120758 16.450 218 219 0.0120758 16.460 196 219 0.0135208 16.470 198 219 0.0135208 16.480 222 219 0.0120758 16.490 211 219 0.0126247 16.500 214 219 0.0123457 16.510 200 218 0.0132118 16.520 206 218 0.0129132 16.530 205 218 0.0129132 16.540 196 218 0.0135208 16.550 224 218 0.0118147 16.560 203 218 0.0132118 16.570 209 218 0.0126247 16.580 212 218 0.0126247 16.590 212 218 0.0126247 16.600 198 218 0.0135208 16.610 203 218 0.0132118 16.620 202 218 0.0132118 16.630 195 218 0.0135208 16.640 206 218 0.0129132 16.650 207 217 0.0129132 16.660 210 217 0.0126247 16.670 222 217 0.0120758 16.680 194 217 0.0138408 16.690 206 217 0.0129132 16.700 202 217 0.0132118 16.710 196 217 0.0135208 16.720 201 217 0.0132118 16.730 211 217 0.0126247 16.740 203 217 0.0132118 16.750 200 217 0.0132118 16.760 205 217 0.0129132 16.770 203 218 0.0132118 16.780 192 218 0.0138408 16.790 204 218 0.0129132 16.800 205 218 0.0129132 16.810 204 218 0.0132118 16.820 202 218 0.0132118 16.830 221 218 0.0120758 16.840 216 219 0.0123457 16.850 199 219 0.0132118 16.860 203 219 0.0132118 16.870 198 220 0.0135208 16.880 194 220 0.0138408 16.890 206 221 0.0129132 16.900 211 222 0.0126247 16.910 209 223 0.0126247 16.920 203 223 0.0132118 16.930 210 224 0.0126247 16.940 214 225 0.0123457 16.950 213 225 0.0123457 16.960 218 225 0.0120758 16.970 211 225 0.0126247 16.980 203 225 0.0132118 16.990 208 224 0.0126247 17.000 205 224 0.0129132 17.010 204 223 0.0129132 17.020 216 223 0.0123457 17.030 203 223 0.0132118 17.040 203 223 0.0129132 17.050 213 223 0.0123457 17.060 194 223 0.0135208 17.070 211 224 0.0126247 17.080 207 224 0.0129132 17.090 190 224 0.0138408 17.100 194 225 0.0135208 17.110 214 225 0.0123457 17.120 202 226 0.0132118 17.130 211 227 0.0126247 17.140 202 228 0.0132118 17.150 215 229 0.0123457 17.160 215 230 0.0123457 17.170 221 231 0.0118147 17.180 213 232 0.0123457 17.190 215 234 0.0123457 17.200 222 236 0.0118147 17.210 222 238 0.0118147 17.220 211 240 0.0123457 17.230 220 242 0.0120758 17.240 224 245 0.0118147 17.250 247 249 0.0106281 17.260 239 253 0.0110803 17.270 261 258 0.0102030 17.280 258 265 0.0102030 17.290 263 272 0.0100000 17.300 263 282 0.0100000 17.310 286 295 0.0092456 17.320 299 311 0.0087344 17.330 313 331 0.0084168 17.340 369 355 0.0071818 17.350 386 385 0.0068301 17.360 442 419 0.0059172 17.370 508 456 0.0051757 17.380 518 491 0.0051020 17.390 566 519 0.0046277 17.400 550 528 0.0047562 17.410 535 514 0.0048902 17.420 511 482 0.0051020 17.430 474 445 0.0055692 17.440 429 413 0.0061035 17.450 402 389 0.0065036 17.460 368 373 0.0071818 17.470 355 364 0.0074316 17.480 351 361 0.0074316 17.490 355 363 0.0074316 17.500 352 369 0.0074316 17.510 382 380 0.0068301 17.520 387 395 0.0067186 17.530 406 416 0.0064000 17.540 438 443 0.0060093 17.550 465 477 0.0056532 17.560 506 519 0.0051757 17.570 552 572 0.0047562 17.580 626 636 0.0041623 17.590 711 712 0.0036731 17.600 822 799 0.0031562 17.610 953 893 0.0027412 17.620 1010 987 0.0025767 17.630 1115 1072 0.0023338 17.640 1142 1131 0.0022893 17.650 1203 1149 0.0021633 17.660 1153 1118 0.0022676 17.670 1110 1043 0.0023565 17.680 1007 942 0.0025767 17.690 908 834 0.0028597 17.700 804 735 0.0032283 17.710 709 649 0.0036731 17.720 611 578 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0.0251953 39.290 273 293 0.0260146 39.300 293 292 0.0236686 39.310 290 294 0.0244141 39.320 297 298 0.0236686 39.330 313 303 0.0222767 39.340 321 311 0.0216263 39.350 345 320 0.0204082 39.360 344 333 0.0204082 39.370 374 348 0.0187652 39.380 401 365 0.0173130 39.390 411 383 0.0173130 39.400 419 399 0.0168663 39.410 431 407 0.0164366 39.420 437 404 0.0160231 39.430 400 388 0.0177778 39.440 376 364 0.0187652 39.450 349 336 0.0204082 39.460 320 310 0.0222767 39.470 291 288 0.0244141 39.480 288 269 0.0244141 39.490 272 255 0.0260146 39.500 252 244 0.0277778 39.510 242 237 0.0287274 39.520 247 232 0.0287274 39.530 249 230 0.0287274 39.540 243 230 0.0287274 39.550 242 232 0.0287274 39.560 240 236 0.0297265 39.570 245 239 0.0287274 39.580 247 240 0.0287274 39.590 241 238 0.0297265 39.600 233 232 0.0297265 39.610 219 226 0.0318878 39.620 220 219 0.0318878 39.630 217 214 0.0330579 39.640 224 211 0.0318878 39.650 198 211 0.0355999 39.660 211 212 0.0330579 39.670 216 216 0.0330579 39.680 212 222 0.0330579 39.690 219 230 0.0318878 39.700 225 242 0.0307787 39.710 241 255 0.0297265 39.720 267 270 0.0268745 39.730 271 283 0.0260146 39.740 268 291 0.0260146 39.750 276 293 0.0251953 39.760 263 287 0.0268745 39.770 263 277 0.0268745 39.780 247 266 0.0287274 39.790 246 257 0.0287274 39.800 247 250 0.0287274 39.810 246 245 0.0287274 39.820 244 242 0.0287274 39.830 228 240 0.0307787 39.840 236 238 0.0297265 39.850 239 237 0.0297265 39.860 241 237 0.0287274 39.870 248 237 0.0287274 39.880 234 237 0.0297265 39.890 244 238 0.0287274 39.900 237 240 0.0297265 39.910 246 243 0.0287274 39.920 255 247 0.0277778 39.930 252 251 0.0277778 39.940 247 255 0.0287274 39.950 268 258 0.0260146 39.960 260 260 0.0268745 39.970 257 260 0.0268745 39.980 266 258 0.0260146 39.990 251 254 0.0277778 40.000 242 248 0.0287274 40.010 249 241 0.0277778 40.020 235 234 0.0297265 40.030 228 227 0.0307787 40.040 215 221 0.0330579 40.050 212 214 0.0330579 40.060 201 209 0.0342936 40.070 200 203 0.0342936 40.080 196 198 0.0355999 40.090 182 193 0.0384468 40.100 189 189 0.0369822 40.110 186 186 0.0369822 40.120 178 183 0.0384468 40.130 174 181 0.0400000 40.140 174 179 0.0400000 40.150 167 178 0.0416493 40.160 179 177 0.0384468 40.170 174 177 0.0400000 40.180 168 178 0.0416493 40.190 182 179 0.0384468 40.200 180 181 0.0384468 40.210 178 183 0.0384468 40.220 187 187 0.0369822 40.230 197 191 0.0355999 40.240 200 197 0.0342936 40.250 207 203 0.0330579 40.260 212 211 0.0330579 40.270 226 221 0.0307787 40.280 237 233 0.0297265 40.290 246 245 0.0277778 40.300 259 259 0.0268745 40.310 264 271 0.0260146 40.320 266 281 0.0260146 40.330 273 287 0.0251953 40.340 285 287 0.0244141 40.350 281 281 0.0244141 40.360 259 272 0.0268745 40.370 260 260 0.0268745 40.380 241 247 0.0287274 40.390 233 236 0.0297265 40.400 226 226 0.0307787 40.410 214 218 0.0318878 40.420 204 212 0.0342936 40.430 204 208 0.0342936 40.440 208 205 0.0330579 40.450 205 205 0.0342936 40.460 216 206 0.0318878 40.470 217 210 0.0318878 40.480 224 216 0.0307787 40.490 236 224 0.0297265 40.500 250 236 0.0277778 40.510 259 250 0.0268745 40.520 259 267 0.0268745 40.530 276 284 0.0251953 40.540 293 298 0.0236686 40.550 285 305 0.0244141 40.560 281 302 0.0244141 40.570 279 290 0.0251953 40.580 280 274 0.0244141 40.590 255 257 0.0268745 40.600 235 242 0.0297265 40.610 234 230 0.0297265 40.620 227 221 0.0307787 40.630 217 216 0.0318878 40.640 212 213 0.0330579 40.650 219 212 0.0318878 40.660 222 213 0.0318878 40.670 221 216 0.0318878 40.680 227 220 0.0307787 40.690 233 225 0.0297265 40.700 245 228 0.0287274 40.710 248 228 0.0277778 40.720 232 225 0.0297265 40.730 220 220 0.0318878 40.740 223 213 0.0307787 40.750 199 206 0.0355999 40.760 204 201 0.0342936 40.770 203 196 0.0342936 40.780 193 192 0.0355999 40.790 187 189 0.0369822 40.800 190 186 0.0369822 40.810 190 183 0.0369822 40.820 179 180 0.0384468 40.830 175 176 0.0400000 40.840 182 173 0.0384468 40.850 174 170 0.0400000 40.860 165 167 0.0416493 40.870 160 164 0.0434028 40.880 162 161 0.0434028 40.890 162 159 0.0434028 40.900 160 157 0.0434028 40.910 158 155 0.0434028 40.920 161 153 0.0434028 40.930 144 152 0.0472590 40.940 146 151 0.0472590 40.950 149 150 0.0472590 40.960 153 150 0.0452694 40.970 153 149 0.0452694 40.980 148 149 0.0472590 40.990 151 148 0.0452694 41.000 147 148 0.0472590 41.010 146 148 0.0472590 41.020 147 148 0.0472590 41.030 140 149 0.0493827 41.040 146 149 0.0472590 41.050 151 150 0.0452694 41.060 153 150 0.0452694 41.070 153 151 0.0452694 41.080 149 152 0.0452694 41.090 155 154 0.0452694 41.100 150 155 0.0452694 41.110 153 157 0.0452694 41.120 159 159 0.0434028 41.130 167 161 0.0416493 41.140 156 164 0.0434028 41.150 166 167 0.0416493 41.160 169 170 0.0416493 41.170 171 174 0.0400000 41.180 169 178 0.0400000 41.190 178 183 0.0384468 41.200 191 189 0.0355999 41.210 196 196 0.0355999 41.220 203 203 0.0342936 41.230 207 210 0.0330579 41.240 221 218 0.0307787 41.250 230 227 0.0297265 41.260 236 236 0.0287274 41.270 249 246 0.0277778 41.280 251 255 0.0268745 41.290 272 263 0.0251953 41.300 284 269 0.0244141 41.310 274 273 0.0251953 41.320 273 275 0.0251953 41.330 286 273 0.0236686 41.340 276 268 0.0251953 41.350 278 260 0.0244141 41.360 256 252 0.0268745 41.370 251 243 0.0277778 41.380 239 234 0.0287274 41.390 235 226 0.0287274 41.400 223 218 0.0307787 41.410 212 212 0.0318878 41.420 209 206 0.0330579 41.430 198 202 0.0342936 41.440 198 199 0.0342936 41.450 194 196 0.0355999 41.460 192 195 0.0355999 41.470 187 195 0.0369822 41.480 186 195 0.0369822 41.490 205 196 0.0330579 41.500 189 198 0.0355999 41.510 196 202 0.0342936 41.520 198 206 0.0342936 41.530 207 211 0.0330579 41.540 217 218 0.0318878 41.550 227 225 0.0297265 41.560 237 234 0.0287274 41.570 239 245 0.0287274 41.580 262 256 0.0260146 41.590 282 268 0.0244141 41.600 277 280 0.0244141 41.610 294 291 0.0229568 41.620 310 301 0.0222767 41.630 313 308 0.0216263 41.640 324 311 0.0210040 41.650 309 310 0.0222767 41.660 315 303 0.0216263 41.670 301 293 0.0229568 41.680 288 280 0.0236686 41.690 274 266 0.0251953 41.700 244 253 0.0277778 41.710 238 240 0.0287274 41.720 233 230 0.0297265 41.730 211 221 0.0330579 41.740 209 213 0.0330579 41.750 207 207 0.0330579 41.760 214 203 0.0318878 41.770 191 199 0.0355999 41.780 183 197 0.0369822 41.790 197 196 0.0342936 41.800 194 196 0.0355999 41.810 193 197 0.0355999 41.820 189 200 0.0355999 41.830 197 204 0.0342936 41.840 204 209 0.0330579 41.850 202 216 0.0342936 41.860 219 225 0.0307787 41.870 227 234 0.0297265 41.880 228 244 0.0297265 41.890 243 254 0.0277778 41.900 249 261 0.0268745 41.910 259 265 0.0260146 41.920 245 265 0.0277778 41.930 248 259 0.0277778 41.940 239 251 0.0287274 41.950 223 239 0.0307787 41.960 220 227 0.0307787 41.970 212 216 0.0318878 41.980 206 205 0.0330579 41.990 196 196 0.0342936 42.000 196 188 0.0342936 42.010 192 181 0.0355999 42.020 171 176 0.0400000 42.030 177 171 0.0384468 42.040 166 167 0.0400000 42.050 164 164 0.0416493 42.060 162 162 0.0416493 42.070 162 160 0.0416493 42.080 163 158 0.0416493 42.090 153 158 0.0434028 42.100 157 157 0.0434028 42.110 155 157 0.0434028 42.120 161 158 0.0416493 42.130 154 159 0.0434028 42.140 169 161 0.0400000 42.150 160 163 0.0416493 42.160 174 166 0.0384468 42.170 170 170 0.0400000 42.180 168 174 0.0400000 42.190 182 179 0.0369822 42.200 182 184 0.0369822 42.210 191 189 0.0355999 42.220 195 193 0.0342936 42.230 191 197 0.0355999 42.240 202 200 0.0330579 42.250 206 202 0.0330579 42.260 198 203 0.0342936 42.270 200 203 0.0330579 42.280 201 201 0.0330579 42.290 183 196 0.0369822 42.300 197 190 0.0342936 42.310 181 184 0.0369822 42.320 179 179 0.0369822 42.330 180 175 0.0369822 42.340 179 172 0.0369822 42.350 172 171 0.0384468 42.360 178 171 0.0369822 42.370 177 173 0.0384468 42.380 179 177 0.0369822 42.390 188 182 0.0355999 42.400 183 188 0.0369822 42.410 197 194 0.0342936 42.420 182 199 0.0369822 42.430 190 202 0.0355999 42.440 191 201 0.0355999 42.450 186 197 0.0355999 42.460 183 190 0.0369822 42.470 178 181 0.0369822 42.480 173 173 0.0384468 42.490 166 166 0.0400000 42.500 161 160 0.0416493 42.510 152 155 0.0434028 42.520 151 151 0.0452694 42.530 141 148 0.0472590 42.540 140 145 0.0472590 42.550 144 143 0.0472590 42.560 146 141 0.0452694 42.570 136 139 0.0493827 42.580 147 138 0.0452694 42.590 139 137 0.0493827 42.600 141 136 0.0472590 42.610 139 136 0.0493827 42.620 131 135 0.0516529 42.630 135 135 0.0493827 42.640 136 134 0.0493827 42.650 135 134 0.0493827 42.660 139 134 0.0472590 42.670 136 134 0.0493827 42.680 136 134 0.0493827 42.690 135 134 0.0493827 42.700 135 134 0.0493827 42.710 130 134 0.0516529 42.720 135 134 0.0493827 42.730 135 134 0.0493827 42.740 142 134 0.0472590 42.750 138 135 0.0493827 42.760 134 136 0.0493827 42.770 136 136 0.0493827 42.780 133 138 0.0516529 42.790 143 139 0.0472590 42.800 139 140 0.0472590 42.810 152 142 0.0434028 42.820 157 144 0.0434028 42.830 153 146 0.0434028 42.840 150 149 0.0452694 42.850 160 151 0.0416493 42.860 164 153 0.0416493 42.870 163 155 0.0416493 42.880 158 157 0.0416493 42.890 161 157 0.0416493 42.900 156 157 0.0434028 42.910 160 157 0.0416493 42.920 154 156 0.0434028 42.930 155 156 0.0434028 42.940 155 155 0.0434028 42.950 162 155 0.0416493 42.960 150 156 0.0452694 42.970 159 157 0.0416493 42.980 157 159 0.0416493 42.990 160 162 0.0416493 43.000 165 166 0.0400000 43.010 172 171 0.0384468 43.020 172 176 0.0384468 43.030 174 181 0.0384468 43.040 172 185 0.0384468 43.050 175 188 0.0384468 43.060 179 188 0.0369822 43.070 185 187 0.0355999 43.080 183 185 0.0355999 43.090 191 183 0.0342936 43.100 177 182 0.0369822 43.110 187 182 0.0355999 43.120 184 181 0.0355999 43.130 178 181 0.0369822 43.140 187 180 0.0355999 43.150 176 179 0.0369822 43.160 188 177 0.0355999 43.170 177 174 0.0369822 43.180 179 171 0.0369822 43.190 168 169 0.0400000 43.200 174 166 0.0384468 43.210 162 164 0.0416493 43.220 163 162 0.0400000 43.230 152 161 0.0434028 43.240 153 161 0.0434028 43.250 155 161 0.0434028 43.260 155 161 0.0434028 43.270 157 160 0.0416493 43.280 154 160 0.0434028 43.290 157 160 0.0416493 43.300 158 160 0.0416493 43.310 156 159 0.0434028 43.320 158 158 0.0416493 43.330 160 158 0.0416493 43.340 156 157 0.0416493 43.350 158 157 0.0416493 43.360 159 157 0.0416493 43.370 160 158 0.0416493 43.380 157 159 0.0416493 43.390 156 161 0.0416493 43.400 170 164 0.0384468 43.410 171 167 0.0384468 43.420 184 172 0.0355999 43.430 192 177 0.0342936 43.440 185 184 0.0355999 43.450 206 193 0.0318878 43.460 211 202 0.0318878 43.470 217 213 0.0307787 43.480 226 225 0.0297265 43.490 235 235 0.0277778 43.500 247 242 0.0268745 43.510 243 246 0.0268745 43.520 245 247 0.0268745 43.530 240 248 0.0277778 43.540 252 250 0.0260146 43.550 271 257 0.0244141 43.560 281 266 0.0236686 43.570 285 278 0.0229568 43.580 283 289 0.0229568 43.590 296 295 0.0222767 43.600 306 292 0.0216263 43.610 284 281 0.0229568 43.620 266 264 0.0244141 43.630 231 245 0.0287274 43.640 222 227 0.0297265 43.650 209 212 0.0318878 43.660 199 200 0.0330579 43.670 198 190 0.0330579 43.680 181 182 0.0369822 43.690 182 176 0.0355999 43.700 172 171 0.0384468 43.710 169 166 0.0384468 43.720 169 162 0.0384468 43.730 162 159 0.0400000 43.740 156 156 0.0416493 43.750 149 153 0.0434028 43.760 157 151 0.0416493 43.770 152 148 0.0434028 43.780 139 146 0.0472590 43.790 149 144 0.0434028 43.800 145 143 0.0452694 43.810 143 141 0.0452694 43.820 138 140 0.0472590 43.830 143 139 0.0452694 43.840 142 138 0.0452694 43.850 140 137 0.0472590 43.860 134 137 0.0493827 43.870 149 137 0.0434028 43.880 143 136 0.0452694 43.890 145 137 0.0452694 43.900 142 137 0.0452694 43.910 144 138 0.0452694 43.920 144 138 0.0452694 43.930 135 140 0.0472590 43.940 144 141 0.0452694 43.950 145 142 0.0452694 43.960 143 144 0.0452694 43.970 147 146 0.0434028 43.980 157 148 0.0416493 43.990 155 150 0.0416493 44.000 158 152 0.0416493 44.010 154 153 0.0416493 44.020 152 155 0.0434028 44.030 154 157 0.0416493 44.040 163 160 0.0400000 44.050 159 163 0.0400000 44.060 167 167 0.0384468 44.070 173 172 0.0369822 44.080 176 177 0.0369822 44.090 182 182 0.0355999 44.100 170 184 0.0384468 44.110 169 182 0.0384468 44.120 163 177 0.0400000 44.130 164 171 0.0400000 44.140 171 165 0.0384468 44.150 161 159 0.0400000 44.160 163 155 0.0400000 44.170 157 152 0.0416493 44.180 156 151 0.0416493 44.190 143 149 0.0452694 44.200 139 149 0.0472590 44.210 142 149 0.0452694 44.220 151 149 0.0434028 44.230 146 149 0.0452694 44.240 135 150 0.0472590 44.250 145 151 0.0452694 44.260 149 152 0.0434028 44.270 153 152 0.0416493 44.280 152 153 0.0434028 44.290 147 155 0.0452694 44.300 150 157 0.0434028 44.310 158 159 0.0416493 44.320 168 162 0.0384468 44.330 174 166 0.0369822 44.340 166 170 0.0384468 44.350 174 175 0.0369822 44.360 176 181 0.0369822 44.370 182 187 0.0355999 44.380 173 192 0.0369822 44.390 185 196 0.0355999 44.400 184 198 0.0355999 44.410 189 196 0.0342936 44.420 193 192 0.0330579 44.430 182 188 0.0355999 44.440 180 183 0.0355999 44.450 183 179 0.0355999 44.460 171 177 0.0384468 44.470 170 175 0.0384468 44.480 172 173 0.0369822 44.490 163 172 0.0400000 44.500 169 172 0.0384468 44.510 172 172 0.0369822 44.520 170 173 0.0384468 44.530 171 174 0.0384468 44.540 178 176 0.0355999 44.550 184 179 0.0355999 44.560 189 183 0.0342936 44.570 188 188 0.0342936 44.580 192 194 0.0330579 44.590 209 202 0.0307787 44.600 213 210 0.0307787 44.610 221 218 0.0287274 44.620 222 226 0.0287274 44.630 228 232 0.0277778 44.640 236 235 0.0268745 44.650 229 236 0.0277778 44.660 237 232 0.0268745 44.670 220 226 0.0287274 44.680 223 218 0.0287274 44.690 213 209 0.0297265 44.700 196 200 0.0330579 44.710 191 191 0.0330579 44.720 178 183 0.0355999 44.730 171 176 0.0369822 44.740 182 170 0.0355999 44.750 171 165 0.0369822 44.760 166 161 0.0384468 44.770 160 157 0.0400000 44.780 158 154 0.0400000 44.790 155 152 0.0416493 44.800 154 151 0.0416493 44.810 151 150 0.0416493 44.820 148 149 0.0434028 44.830 151 149 0.0416493 44.840 152 150 0.0416493 44.850 157 151 0.0400000 44.860 157 152 0.0400000 44.870 156 153 0.0416493 44.880 158 154 0.0400000 44.890 163 155 0.0384468 44.900 148 156 0.0434028 44.910 160 157 0.0400000 44.920 157 158 0.0400000 44.930 155 158 0.0416493 44.940 167 158 0.0384468 44.950 163 157 0.0384468 44.960 163 157 0.0384468 44.970 166 156 0.0384468 44.980 152 154 0.0416493 44.990 154 153 0.0416493 45.000 144 151 0.0434028 #===END data_As24 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P0.76 As0.24 O4)3 OH' _chemical_formula_sum 'As0.72 Ca5 H O13 P2.28' _chemical_formula_weight 533.2 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.5075(3) _cell_length_b 9.5075(3) _cell_length_c 6.9187(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 541.61(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69850 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.05495 _pd_proc_ls_prof_wR_factor 0.06962 _pd_proc_ls_prof_wR_expected 0.05179 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 1.344 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.0 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69850 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As24_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.32208(73) 0.48537(71) 0.25 1 0.826(28) O2 O 6 0.58686(72) 0.46258(76) 0.25 1 0.826(28) O3 O 12 0.34056(50) 0.25558(55) 0.06641(55) 1 0.826(28) As1 As 6 0.39641(28) 0.36822(27) 0.25 0.2423(37) 0.826(28) P1 P 6 0.39641(28) 0.36822(27) 0.25 0.7577(37) 0.826(28) Ca1 Ca 4 0.3333333 0.6666667 0.00150(48) 1 0.826(28) Ca2 Ca 6 0.24615(26) 0.99407(31) 0.25 1 0.826(28) O4 O 4 0 0 0.6946(17) 0.5 0.826(28) ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As24_pattern _pd_block_id HAP_As24_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 695 675 0.0012226 2.010 718 670 0.0011809 2.020 728 666 0.0011648 2.030 753 661 0.0011261 2.040 678 656 0.0012486 2.050 701 652 0.0012140 2.060 682 647 0.0012486 2.070 729 643 0.0011648 2.080 708 638 0.0011973 2.090 655 634 0.0012939 2.100 655 630 0.0012939 2.110 666 625 0.0012755 2.120 644 621 0.0013223 2.130 637 617 0.0013320 2.140 721 613 0.0011809 2.150 630 609 0.0013516 2.160 642 605 0.0013223 2.170 620 601 0.0013717 2.180 623 597 0.0013616 2.190 656 593 0.0012939 2.200 607 589 0.0014027 2.210 604 585 0.0014027 2.220 541 581 0.0015747 2.230 566 577 0.0015023 2.240 588 574 0.0014457 2.250 613 570 0.0013820 2.260 626 566 0.0013616 2.270 574 563 0.0014793 2.280 582 559 0.0014568 2.290 575 556 0.0014793 2.300 580 552 0.0014680 2.310 548 549 0.0015500 2.320 596 545 0.0014240 2.330 564 542 0.0015023 2.340 531 539 0.0016000 2.350 522 535 0.0016259 2.360 500 532 0.0016935 2.370 528 529 0.0016129 2.380 514 526 0.0016525 2.390 491 522 0.0017217 2.400 536 519 0.0015873 2.410 531 516 0.0016000 2.420 526 513 0.0016129 2.430 554 510 0.0015379 2.440 509 507 0.0016660 2.450 483 504 0.0017507 2.460 510 501 0.0016660 2.470 482 498 0.0017654 2.480 477 495 0.0017803 2.490 489 492 0.0017361 2.500 451 489 0.0018740 2.510 503 487 0.0016935 2.520 498 484 0.0017075 2.530 441 481 0.0019237 2.540 451 478 0.0018740 2.550 483 476 0.0017654 2.560 488 473 0.0017361 2.570 443 470 0.0019237 2.580 437 468 0.0019407 2.590 468 465 0.0018108 2.600 449 462 0.0018904 2.610 469 460 0.0018108 2.620 449 457 0.0018904 2.630 421 455 0.0020109 2.640 449 452 0.0018904 2.650 431 450 0.0019753 2.660 432 447 0.0019579 2.670 430 445 0.0019753 2.680 433 443 0.0019579 2.690 471 440 0.0017955 2.700 397 438 0.0021433 2.710 445 436 0.0019069 2.720 413 433 0.0020475 2.730 446 431 0.0019069 2.740 419 429 0.0020291 2.750 394 426 0.0021633 2.760 406 424 0.0020850 2.770 425 422 0.0019930 2.780 410 420 0.0020661 2.790 407 418 0.0020850 2.800 384 416 0.0022250 2.810 352 413 0.0024267 2.820 417 411 0.0020475 2.830 372 409 0.0022893 2.840 383 407 0.0022041 2.850 407 405 0.0020850 2.860 468 403 0.0018108 2.870 378 401 0.0022461 2.880 386 399 0.0022041 2.890 389 397 0.0021836 2.900 372 395 0.0022893 2.910 374 393 0.0022676 2.920 401 391 0.0021236 2.930 385 389 0.0022041 2.940 349 388 0.0024267 2.950 383 386 0.0022250 2.960 365 384 0.0023338 2.970 386 382 0.0022041 2.980 400 380 0.0021236 2.990 357 378 0.0023795 3.000 338 377 0.0025252 3.010 402 375 0.0021236 3.020 355 373 0.0024029 3.030 368 371 0.0023114 3.040 349 370 0.0024267 3.050 373 368 0.0022893 3.060 362 366 0.0023565 3.070 342 365 0.0024752 3.080 351 363 0.0024267 3.090 350 361 0.0024267 3.100 320 360 0.0026570 3.110 300 358 0.0028293 3.120 388 356 0.0022041 3.130 342 355 0.0025000 3.140 355 353 0.0024029 3.150 328 352 0.0026031 3.160 342 350 0.0025000 3.170 340 349 0.0025000 3.180 314 347 0.0027127 3.190 384 346 0.0022041 3.200 315 344 0.0027127 3.210 334 343 0.0025508 3.220 351 341 0.0024267 3.230 309 340 0.0027412 3.240 360 338 0.0023565 3.250 304 337 0.0027995 3.260 334 335 0.0025508 3.270 331 334 0.0025767 3.280 300 333 0.0028293 3.290 324 331 0.0026298 3.300 323 330 0.0026298 3.310 326 328 0.0026031 3.320 342 327 0.0025000 3.330 322 326 0.0026570 3.340 293 324 0.0029218 3.350 363 323 0.0023565 3.360 309 322 0.0027412 3.370 342 320 0.0025000 3.380 295 319 0.0028905 3.390 330 318 0.0017955 3.400 302 317 0.0019579 3.410 309 315 0.0019069 3.420 284 314 0.0020850 3.430 326 313 0.0018108 3.440 308 312 0.0019237 3.450 316 311 0.0018740 3.460 291 309 0.0020291 3.470 316 308 0.0018740 3.480 314 307 0.0018740 3.490 316 306 0.0018740 3.500 277 305 0.0021433 3.510 291 304 0.0020291 3.520 306 302 0.0019407 3.530 289 301 0.0020475 3.540 308 300 0.0019237 3.550 284 299 0.0020850 3.560 301 298 0.0019579 3.570 282 297 0.0020850 3.580 293 296 0.0020291 3.590 301 295 0.0019579 3.600 310 294 0.0019069 3.610 300 293 0.0019753 3.620 288 292 0.0020475 3.630 305 291 0.0019407 3.640 305 290 0.0019407 3.650 350 289 0.0016797 3.660 261 288 0.0022676 3.670 332 287 0.0017803 3.680 288 286 0.0020475 3.690 289 285 0.0020475 3.700 293 285 0.0020109 3.710 257 284 0.0022893 3.720 303 283 0.0019407 3.730 268 282 0.0022041 3.740 291 281 0.0020291 3.750 318 280 0.0018579 3.760 278 279 0.0021236 3.770 222 278 0.0026570 3.780 305 277 0.0019407 3.790 281 276 0.0021042 3.800 283 275 0.0020850 3.810 252 275 0.0023338 3.820 279 274 0.0021042 3.830 239 273 0.0024752 3.840 276 272 0.0021433 3.850 268 271 0.0022041 3.860 259 270 0.0022676 3.870 263 270 0.0022461 3.880 283 269 0.0020850 3.890 293 268 0.0020109 3.900 253 267 0.0023338 3.910 249 266 0.0023795 3.920 302 266 0.0019579 3.930 276 265 0.0021433 3.940 275 264 0.0021433 3.950 275 263 0.0021433 3.960 292 263 0.0020291 3.970 297 262 0.0019930 3.980 276 261 0.0021236 3.990 251 260 0.0023565 4.000 277 260 0.0021236 4.010 258 259 0.0022893 4.020 243 258 0.0024267 4.030 260 258 0.0022676 4.040 255 257 0.0023114 4.050 253 256 0.0023338 4.060 239 256 0.0024507 4.070 256 255 0.0022893 4.080 250 254 0.0023565 4.090 260 254 0.0022676 4.100 224 253 0.0026298 4.110 224 253 0.0026298 4.120 226 252 0.0026031 4.130 307 251 0.0019237 4.140 253 251 0.0023338 4.150 214 250 0.0027412 4.160 258 250 0.0022893 4.170 240 249 0.0024507 4.180 260 249 0.0022676 4.190 255 248 0.0023114 4.200 274 248 0.0021433 4.210 260 247 0.0022676 4.220 260 247 0.0022676 4.230 250 246 0.0023565 4.240 243 246 0.0024267 4.250 242 245 0.0024267 4.260 286 245 0.0020475 4.270 260 244 0.0022461 4.280 255 244 0.0023114 4.290 226 244 0.0026031 4.300 257 243 0.0022893 4.310 262 243 0.0022461 4.320 237 243 0.0024752 4.330 267 242 0.0022041 4.340 206 242 0.0028597 4.350 257 242 0.0022893 4.360 269 242 0.0021836 4.370 239 241 0.0024507 4.380 240 241 0.0024507 4.390 252 241 0.0023338 4.400 217 241 0.0027127 4.410 251 241 0.0023338 4.420 271 241 0.0021633 4.430 259 241 0.0022676 4.440 244 241 0.0024029 4.450 249 242 0.0023565 4.460 268 242 0.0021836 4.470 239 243 0.0024507 4.480 275 243 0.0021433 4.490 247 244 0.0023565 4.500 207 245 0.0028293 4.510 236 246 0.0024752 4.520 272 248 0.0021633 4.530 261 250 0.0022461 4.540 270 252 0.0021633 4.550 239 255 0.0024507 4.560 289 259 0.0020291 4.570 308 264 0.0019069 4.580 294 269 0.0019930 4.590 272 275 0.0021433 4.600 325 282 0.0017955 4.610 303 290 0.0019407 4.620 323 298 0.0018108 4.630 310 307 0.0018904 4.640 366 317 0.0016000 4.650 323 327 0.0018108 4.660 382 338 0.0015379 4.670 382 351 0.0015259 4.680 419 364 0.0013923 4.690 382 379 0.0015259 4.700 418 395 0.0014027 4.710 401 412 0.0014568 4.720 420 432 0.0013923 4.730 462 453 0.0012664 4.740 502 477 0.0011648 4.750 548 503 0.0010680 4.760 558 533 0.0010473 4.770 523 566 0.0011186 4.780 643 604 0.0009072 4.790 588 646 0.0009951 4.800 641 693 0.0009127 4.810 665 745 0.0008753 4.820 719 798 0.0008117 4.830 738 845 0.0007890 4.840 753 870 0.0007759 4.850 676 854 0.0008651 4.860 623 788 0.0009352 4.870 594 689 0.0009827 4.880 537 588 0.0010821 4.890 456 503 0.0012755 4.900 384 438 0.0015140 4.910 354 390 0.0016525 4.920 326 355 0.0017803 4.930 369 329 0.0015747 4.940 314 308 0.0018579 4.950 265 293 0.0022041 4.960 253 280 0.0023114 4.970 249 270 0.0023338 4.980 222 262 0.0026298 4.990 249 256 0.0023338 5.000 242 250 0.0024029 5.010 230 245 0.0025252 5.020 227 241 0.0025767 5.030 225 237 0.0025767 5.040 232 234 0.0025000 5.050 229 232 0.0025508 5.060 241 229 0.0024267 5.070 206 227 0.0028293 5.080 215 225 0.0027127 5.090 227 223 0.0025508 5.100 251 222 0.0023114 5.110 239 220 0.0024267 5.120 222 219 0.0026298 5.130 217 218 0.0026846 5.140 181 217 0.0032283 5.150 222 216 0.0026298 5.160 232 215 0.0025000 5.170 200 214 0.0029218 5.180 184 213 0.0031562 5.190 234 212 0.0024752 5.200 236 211 0.0024752 5.210 184 211 0.0031562 5.220 194 210 0.0029861 5.230 219 209 0.0026570 5.240 188 209 0.0030864 5.250 208 208 0.0027995 5.260 210 208 0.0027701 5.270 231 207 0.0025252 5.280 231 207 0.0025252 5.290 184 206 0.0031562 5.300 207 206 0.0027995 5.310 188 205 0.0030864 5.320 210 205 0.0027701 5.330 212 204 0.0027412 5.340 210 204 0.0027701 5.350 195 204 0.0029861 5.360 212 203 0.0027412 5.370 212 203 0.0027412 5.380 203 203 0.0028597 5.390 195 202 0.0029861 5.400 181 202 0.0031919 5.410 202 202 0.0028905 5.420 226 201 0.0025767 5.430 193 201 0.0030190 5.440 214 201 0.0027127 5.450 212 201 0.0027412 5.460 184 200 0.0031562 5.470 191 200 0.0030524 5.480 179 200 0.0032283 5.490 171 199 0.0034199 5.500 217 199 0.0026846 5.510 195 199 0.0029861 5.520 184 199 0.0031562 5.530 210 199 0.0027701 5.540 205 198 0.0028293 5.550 245 198 0.0023795 5.560 200 198 0.0029218 5.570 176 198 0.0033029 5.580 220 198 0.0026298 5.590 220 197 0.0026298 5.600 179 197 0.0032283 5.610 177 197 0.0032653 5.620 188 197 0.0030864 5.630 184 197 0.0031562 5.640 232 196 0.0025000 5.650 234 196 0.0024752 5.660 210 196 0.0027701 5.670 181 196 0.0032283 5.680 210 196 0.0027701 5.690 205 196 0.0028293 5.700 224 195 0.0026031 5.710 198 195 0.0029218 5.720 164 195 0.0035431 5.730 198 195 0.0029218 5.740 181 195 0.0032283 5.750 196 195 0.0029537 5.760 200 195 0.0029218 5.770 200 195 0.0029218 5.780 201 194 0.0028905 5.790 174 194 0.0033412 5.800 191 194 0.0030524 5.810 182 194 0.0031919 5.820 189 194 0.0030864 5.830 194 194 0.0029861 5.840 167 194 0.0035013 5.850 163 194 0.0035431 5.860 234 194 0.0024752 5.870 201 193 0.0028905 5.880 158 193 0.0036731 5.890 198 193 0.0029537 5.900 213 193 0.0027127 5.910 210 193 0.0027701 5.920 205 193 0.0028293 5.930 194 193 0.0029861 5.940 199 193 0.0029218 5.950 210 193 0.0027701 5.960 201 192 0.0028905 5.970 167 192 0.0035013 5.980 191 192 0.0030524 5.990 206 192 0.0028293 6.000 194 192 0.0029861 6.010 203 192 0.0028597 6.020 201 192 0.0028905 6.030 192 191 0.0030190 6.040 213 191 0.0027412 6.050 220 191 0.0026570 6.060 163 191 0.0035856 6.070 198 191 0.0029537 6.080 213 191 0.0027412 6.090 206 191 0.0028293 6.100 172 191 0.0033802 6.110 155 191 0.0037638 6.120 227 191 0.0025767 6.130 173 191 0.0033412 6.140 203 191 0.0028597 6.150 206 191 0.0028293 6.160 199 191 0.0029218 6.170 192 191 0.0030190 6.180 201 191 0.0028905 6.190 242 191 0.0024029 6.200 208 191 0.0027995 6.210 165 191 0.0035431 6.220 196 191 0.0029861 6.230 221 191 0.0026298 6.240 194 191 0.0030190 6.250 199 191 0.0029218 6.260 178 191 0.0032653 6.270 196 191 0.0029861 6.280 192 191 0.0030190 6.290 208 191 0.0027995 6.300 182 191 0.0031919 6.310 185 191 0.0031562 6.320 189 191 0.0030864 6.330 185 191 0.0031562 6.340 204 191 0.0028597 6.350 196 191 0.0029861 6.360 192 191 0.0030524 6.370 190 191 0.0030524 6.380 197 191 0.0029537 6.390 207 191 0.0027995 6.400 202 192 0.0028905 6.410 201 192 0.0029218 6.420 182 192 0.0032283 6.430 219 192 0.0026570 6.440 195 192 0.0029861 6.450 224 192 0.0026031 6.460 189 192 0.0030864 6.470 218 192 0.0026846 6.480 209 192 0.0027995 6.490 154 192 0.0038104 6.500 224 192 0.0026031 6.510 219 192 0.0026570 6.520 190 192 0.0030864 6.530 199 192 0.0029537 6.540 202 192 0.0028905 6.550 236 192 0.0024752 6.560 170 192 0.0034602 6.570 180 192 0.0032283 6.580 199 192 0.0029537 6.590 173 193 0.0033802 6.600 229 193 0.0025508 6.610 209 193 0.0027995 6.620 212 193 0.0027412 6.630 195 193 0.0029861 6.640 223 193 0.0026298 6.650 171 193 0.0034199 6.660 200 193 0.0029218 6.670 226 193 0.0025767 6.680 216 194 0.0027127 6.690 175 194 0.0033412 6.700 212 194 0.0027412 6.710 214 194 0.0027412 6.720 188 194 0.0030864 6.730 176 194 0.0033029 6.740 194 194 0.0030190 6.750 194 194 0.0030190 6.760 194 194 0.0030190 6.770 219 194 0.0026570 6.780 209 195 0.0027995 6.790 195 195 0.0029861 6.800 180 195 0.0032283 6.810 204 195 0.0028597 6.820 223 195 0.0026298 6.830 158 195 0.0037180 6.840 192 195 0.0030524 6.850 262 195 0.0022250 6.860 194 196 0.0030190 6.870 195 196 0.0029861 6.880 216 196 0.0027127 6.890 218 196 0.0026846 6.900 209 196 0.0027995 6.910 201 196 0.0029218 6.920 209 196 0.0027995 6.930 233 197 0.0025000 6.940 224 197 0.0026031 6.950 202 197 0.0028905 6.960 209 197 0.0027995 6.970 199 197 0.0029218 6.980 200 198 0.0029218 6.990 218 198 0.0026846 7.000 195 198 0.0029861 7.010 214 198 0.0027127 7.020 182 198 0.0032283 7.030 177 199 0.0033029 7.040 211 199 0.0027701 7.050 223 199 0.0026298 7.060 237 199 0.0024752 7.070 175 199 0.0033412 7.080 216 200 0.0027127 7.090 202 200 0.0028905 7.100 211 200 0.0027701 7.110 209 200 0.0027995 7.120 235 201 0.0024752 7.130 209 201 0.0027995 7.140 204 201 0.0028597 7.150 257 201 0.0022676 7.160 158 202 0.0037180 7.170 189 202 0.0030864 7.180 185 202 0.0031562 7.190 207 202 0.0027995 7.200 218 203 0.0026846 7.210 211 203 0.0027701 7.220 190 204 0.0030524 7.230 249 204 0.0023565 7.240 243 204 0.0024029 7.250 218 205 0.0026846 7.260 192 205 0.0030190 7.270 242 206 0.0024029 7.280 230 207 0.0025252 7.290 202 207 0.0028905 7.300 180 208 0.0032283 7.310 220 209 0.0026570 7.320 204 210 0.0028597 7.330 204 211 0.0028597 7.340 266 213 0.0021836 7.350 230 215 0.0025252 7.360 218 217 0.0026846 7.370 227 220 0.0025767 7.380 211 224 0.0027701 7.390 227 229 0.0025767 7.400 252 234 0.0023114 7.410 237 240 0.0024507 7.420 244 246 0.0023795 7.430 239 253 0.0024267 7.440 258 262 0.0022676 7.450 280 271 0.0020850 7.460 271 281 0.0021433 7.470 278 293 0.0020850 7.480 323 307 0.0017955 7.490 347 324 0.0016797 7.500 388 343 0.0015023 7.510 321 365 0.0018108 7.520 340 390 0.0017075 7.530 409 415 0.0014240 7.540 387 435 0.0015023 7.550 387 433 0.0015023 7.560 371 402 0.0015623 7.570 370 356 0.0015747 7.580 279 315 0.0020850 7.590 309 285 0.0018740 7.600 277 265 0.0021042 7.610 261 252 0.0022250 7.620 241 243 0.0024267 7.630 254 237 0.0022893 7.640 229 232 0.0025508 7.650 255 229 0.0022893 7.660 222 226 0.0026298 7.670 205 224 0.0028293 7.680 182 222 0.0031919 7.690 232 221 0.0025000 7.700 198 220 0.0029218 7.710 227 219 0.0025508 7.720 196 219 0.0029537 7.730 250 218 0.0023338 7.740 275 218 0.0021042 7.750 227 218 0.0025508 7.760 248 218 0.0023338 7.770 203 218 0.0028597 7.780 195 217 0.0029861 7.790 191 217 0.0030524 7.800 234 217 0.0024752 7.810 196 218 0.0029537 7.820 258 218 0.0022461 7.830 172 218 0.0033802 7.840 227 218 0.0025508 7.850 203 218 0.0028597 7.860 241 218 0.0024029 7.870 229 218 0.0025252 7.880 234 219 0.0024752 7.890 220 219 0.0026298 7.900 205 219 0.0028293 7.910 222 219 0.0026031 7.920 219 220 0.0026570 7.930 215 220 0.0026846 7.940 231 220 0.0025252 7.950 224 221 0.0026031 7.960 264 221 0.0022041 7.970 233 221 0.0025000 7.980 243 222 0.0023795 7.990 233 222 0.0025000 8.000 217 222 0.0026846 8.010 210 223 0.0027701 8.020 226 223 0.0025767 8.030 243 224 0.0023795 8.040 233 224 0.0025000 8.050 262 225 0.0022041 8.060 271 225 0.0021433 8.070 216 226 0.0026846 8.080 229 227 0.0025252 8.090 221 227 0.0026298 8.100 245 228 0.0023565 8.110 240 229 0.0024267 8.120 269 230 0.0021633 8.130 219 230 0.0026570 8.140 243 232 0.0023795 8.150 216 233 0.0026846 8.160 223 234 0.0026031 8.170 249 235 0.0023338 8.180 252 237 0.0022893 8.190 249 239 0.0023338 8.200 230 241 0.0025252 8.210 235 243 0.0024752 8.220 237 246 0.0024507 8.230 275 249 0.0021042 8.240 225 254 0.0025767 8.250 250 258 0.0023114 8.260 247 264 0.0023338 8.270 302 271 0.0019069 8.280 249 278 0.0023338 8.290 261 287 0.0022250 8.300 282 297 0.0020475 8.310 275 307 0.0021042 8.320 316 320 0.0018263 8.330 335 333 0.0017217 8.340 318 348 0.0018263 8.350 374 365 0.0015500 8.360 325 383 0.0017803 8.370 394 402 0.0014680 8.380 400 422 0.0014457 8.390 369 439 0.0015747 8.400 377 451 0.0015379 8.410 382 453 0.0015140 8.420 389 441 0.0014793 8.430 377 419 0.0015379 8.440 357 390 0.0016259 8.450 339 362 0.0017075 8.460 353 338 0.0016391 8.470 303 318 0.0019069 8.480 280 302 0.0020661 8.490 282 291 0.0020475 8.500 267 281 0.0021633 8.510 256 274 0.0022461 8.520 274 269 0.0021042 8.530 232 264 0.0025000 8.540 268 260 0.0021433 8.550 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0.0013820 9.800 305 329 0.0018740 9.810 341 324 0.0016797 9.820 336 319 0.0017075 9.830 331 316 0.0017217 9.840 317 314 0.0017955 9.850 324 312 0.0017654 9.860 336 311 0.0016935 9.870 331 310 0.0017217 9.880 305 310 0.0018740 9.890 326 310 0.0017507 9.900 298 310 0.0019237 9.910 326 311 0.0017507 9.920 298 311 0.0019237 9.930 310 313 0.0018420 9.940 308 314 0.0018579 9.950 319 316 0.0017955 9.960 307 318 0.0018579 9.970 359 320 0.0015873 9.980 333 323 0.0017075 9.990 368 327 0.0015500 10.000 370 331 0.0046277 10.010 348 335 0.0032653 10.020 335 341 0.0034199 10.030 354 348 0.0032283 10.040 360 356 0.0031562 10.050 381 366 0.0029861 10.060 399 379 0.0028597 10.070 415 395 0.0027412 10.080 401 415 0.0028293 10.090 423 439 0.0026846 10.100 486 469 0.0023338 10.110 491 503 0.0023114 10.120 545 544 0.0020850 10.130 634 591 0.0017955 10.140 624 644 0.0018263 10.150 684 705 0.0016660 10.160 797 774 0.0014240 10.170 901 850 0.0012664 10.180 977 932 0.0011648 10.190 996 1012 0.0011413 10.200 1031 1078 0.0011037 10.210 1008 1106 0.0011261 10.220 1042 1075 0.0010892 10.230 951 986 0.0011973 10.240 885 866 0.0012847 10.250 752 749 0.0015140 10.260 721 651 0.0015747 10.270 631 576 0.0017955 10.280 542 520 0.0021042 10.290 461 477 0.0024752 10.300 494 445 0.0022893 10.310 436 421 0.0026031 10.320 406 402 0.0027995 10.330 418 387 0.0027127 10.340 404 375 0.0027995 10.350 384 365 0.0029537 10.360 381 357 0.0029861 10.370 351 350 0.0032283 10.380 382 345 0.0029537 10.390 326 340 0.0035013 10.400 343 336 0.0033029 10.410 350 333 0.0032283 10.420 336 330 0.0033802 10.430 333 328 0.0034199 10.440 348 326 0.0032653 10.450 317 324 0.0035856 10.460 317 322 0.0035856 10.470 336 321 0.0033802 10.480 305 319 0.0037180 10.490 321 318 0.0035431 10.500 329 317 0.0034602 10.510 310 316 0.0036731 10.520 324 316 0.0035013 10.530 327 315 0.0034602 10.540 327 314 0.0034602 10.550 315 314 0.0035856 10.560 344 313 0.0033029 10.570 328 313 0.0034602 10.580 302 313 0.0037638 10.590 324 312 0.0035013 10.600 323 312 0.0035013 10.610 332 312 0.0034199 10.620 330 312 0.0034602 10.630 314 311 0.0036290 10.640 318 311 0.0035856 10.650 325 311 0.0035013 10.660 315 311 0.0036290 10.670 319 311 0.0035431 10.680 321 312 0.0035431 10.690 332 312 0.0034199 10.700 341 312 0.0033412 10.710 296 313 0.0038579 10.720 343 314 0.0033029 10.730 303 314 0.0037638 10.740 342 314 0.0033029 10.750 307 315 0.0037180 10.760 297 315 0.0038104 10.770 307 315 0.0037180 10.780 339 315 0.0033412 10.790 325 315 0.0035013 10.800 333 315 0.0034199 10.810 340 316 0.0033412 10.820 341 316 0.0033412 10.830 325 316 0.0035013 10.840 304 316 0.0037180 10.850 314 316 0.0036290 10.860 309 317 0.0036731 10.870 320 317 0.0035431 10.880 308 317 0.0037180 10.890 311 318 0.0036731 10.900 313 318 0.0036290 10.910 355 318 0.0031919 10.920 364 319 0.0031210 10.930 291 319 0.0039063 10.940 315 319 0.0036290 10.950 317 320 0.0035856 10.960 326 320 0.0035013 10.970 348 320 0.0032653 10.980 350 321 0.0032653 10.990 313 321 0.0036290 11.000 334 322 0.0034199 11.010 302 323 0.0037638 11.020 322 323 0.0035431 11.030 315 324 0.0036290 11.040 316 324 0.0036290 11.050 358 325 0.0031919 11.060 305 326 0.0037638 11.070 311 327 0.0036731 11.080 310 328 0.0036731 11.090 304 329 0.0037638 11.100 348 330 0.0033029 11.110 316 332 0.0036290 11.120 329 333 0.0034602 11.130 309 335 0.0036731 11.140 321 336 0.0035431 11.150 327 339 0.0035013 11.160 337 341 0.0033802 11.170 353 344 0.0032283 11.180 368 347 0.0031210 11.190 355 351 0.0032283 11.200 327 356 0.0035013 11.210 374 361 0.0030524 11.220 380 368 0.0030190 11.230 380 376 0.0030190 11.240 399 384 0.0028597 11.250 410 394 0.0027995 11.260 442 405 0.0025767 11.270 422 417 0.0027127 11.280 472 431 0.0024267 11.290 472 444 0.0024267 11.300 470 455 0.0024267 11.310 456 463 0.0025000 11.320 457 465 0.0025000 11.330 420 460 0.0027127 11.340 465 451 0.0024507 11.350 456 441 0.0025000 11.360 374 434 0.0030524 11.370 408 430 0.0027995 11.380 417 430 0.0027412 11.390 417 434 0.0027412 11.400 419 442 0.0027412 11.410 384 454 0.0029861 11.420 412 471 0.0027701 11.430 389 494 0.0029218 11.440 408 526 0.0027995 11.450 478 570 0.0024029 11.460 498 630 0.0022893 11.470 544 709 0.0021042 11.480 622 809 0.0018420 11.490 746 931 0.0015379 11.500 889 1077 0.0012847 11.510 1085 1251 0.0010541 11.520 1317 1458 0.0008651 11.530 1629 1705 0.0006999 11.540 2082 1997 0.0005485 11.550 2696 2330 0.0004234 11.560 3309 2672 0.0003455 11.570 3795 2912 0.0003014 11.580 3525 2858 0.0003235 11.590 2684 2438 0.0004251 11.600 1885 1882 0.0006067 11.610 1303 1424 0.0008753 11.620 979 1109 0.0011648 11.630 784 901 0.0014568 11.640 701 761 0.0016259 11.650 607 664 0.0018740 11.660 532 596 0.0021433 11.670 497 545 0.0022893 11.680 415 507 0.0027412 11.690 433 477 0.0026298 11.700 426 454 0.0026846 11.710 376 436 0.0030190 11.720 393 420 0.0028905 11.730 365 408 0.0031210 11.740 381 398 0.0029861 11.750 355 389 0.0031919 11.760 345 381 0.0033029 11.770 389 375 0.0029218 11.780 384 369 0.0029861 11.790 386 365 0.0029537 11.800 344 360 0.0033029 11.810 352 357 0.0032283 11.820 363 353 0.0031562 11.830 364 350 0.0031210 11.840 358 348 0.0031919 11.850 346 345 0.0033029 11.860 331 343 0.0034602 11.870 327 341 0.0034602 11.880 301 340 0.0037638 11.890 347 338 0.0032653 11.900 367 337 0.0030864 11.910 327 335 0.0034602 11.920 348 334 0.0032653 11.930 325 333 0.0035013 11.940 314 332 0.0036290 11.950 352 331 0.0032283 11.960 304 330 0.0037180 11.970 317 329 0.0035856 11.980 350 329 0.0032283 11.990 331 328 0.0034199 12.000 359 327 0.0031562 12.010 303 327 0.0037180 12.020 308 326 0.0036731 12.030 289 326 0.0039063 12.040 328 325 0.0034602 12.050 318 325 0.0035856 12.060 329 324 0.0034602 12.070 302 324 0.0037638 12.080 352 323 0.0032283 12.090 342 323 0.0033029 12.100 326 323 0.0034602 12.110 327 323 0.0034602 12.120 338 322 0.0033412 12.130 335 322 0.0033802 12.140 327 322 0.0034602 12.150 321 322 0.0035431 12.160 325 322 0.0035013 12.170 310 321 0.0036290 12.180 323 321 0.0035013 12.190 326 321 0.0034602 12.200 328 321 0.0034602 12.210 320 321 0.0035431 12.220 307 321 0.0036731 12.230 355 321 0.0031919 12.240 312 322 0.0036290 12.250 319 322 0.0035431 12.260 315 322 0.0035856 12.270 342 322 0.0033029 12.280 345 323 0.0032653 12.290 326 323 0.0034602 12.300 328 323 0.0034602 12.310 319 324 0.0035431 12.320 331 325 0.0034199 12.330 346 325 0.0032653 12.340 348 326 0.0032653 12.350 323 328 0.0035013 12.360 342 329 0.0033029 12.370 345 330 0.0032653 12.380 339 332 0.0033412 12.390 316 334 0.0035856 12.400 352 337 0.0031919 12.410 334 341 0.0033802 12.420 341 345 0.0033029 12.430 369 350 0.0030524 12.440 326 358 0.0034602 12.450 325 367 0.0034602 12.460 375 378 0.0030190 12.470 397 395 0.0028293 12.480 413 414 0.0027412 12.490 415 436 0.0027127 12.500 432 461 0.0026031 12.510 434 491 0.0026031 12.520 484 524 0.0023338 12.530 567 561 0.0019930 12.540 646 597 0.0017507 12.550 649 625 0.0017361 12.560 712 633 0.0015873 12.570 715 612 0.0015747 12.580 617 567 0.0018263 12.590 554 518 0.0020291 12.600 483 476 0.0023338 12.610 458 445 0.0024752 12.620 429 423 0.0026298 12.630 421 408 0.0026846 12.640 417 399 0.0027127 12.650 402 393 0.0027995 12.660 406 391 0.0027701 12.670 369 390 0.0030524 12.680 360 392 0.0031210 12.690 410 396 0.0027412 12.700 372 401 0.0030190 12.710 396 408 0.0028597 12.720 400 418 0.0028293 12.730 416 430 0.0027127 12.740 430 444 0.0026298 12.750 428 463 0.0026298 12.760 456 485 0.0024752 12.770 490 512 0.0023114 12.780 540 545 0.0020850 12.790 556 582 0.0020291 12.800 630 625 0.0017955 12.810 640 673 0.0017654 12.820 727 725 0.0015500 12.830 769 779 0.0014680 12.840 805 831 0.0014027 12.850 847 876 0.0013320 12.860 872 907 0.0012939 12.870 888 915 0.0012755 12.880 864 896 0.0013127 12.890 821 852 0.0013717 12.900 780 791 0.0014457 12.910 711 725 0.0015873 12.920 645 662 0.0017507 12.930 568 606 0.0019930 12.940 561 558 0.0020109 12.950 524 519 0.0021633 12.960 481 487 0.0023565 12.970 436 460 0.0026031 12.980 459 439 0.0024752 12.990 393 421 0.0028905 13.000 397 407 0.0028597 13.010 373 394 0.0030190 13.020 413 384 0.0027412 13.030 347 375 0.0032653 13.040 355 368 0.0031919 13.050 387 362 0.0029218 13.060 403 356 0.0027995 13.070 352 351 0.0032283 13.080 374 347 0.0030190 13.090 365 344 0.0030864 13.100 358 340 0.0031562 13.110 386 337 0.0029218 13.120 351 335 0.0032283 13.130 353 333 0.0031919 13.140 334 331 0.0033802 13.150 331 329 0.0034199 13.160 323 327 0.0035013 13.170 322 326 0.0035013 13.180 335 325 0.0033802 13.190 358 324 0.0031562 13.200 318 323 0.0035856 13.210 333 323 0.0034199 13.220 348 323 0.0032653 13.230 323 323 0.0035013 13.240 335 323 0.0033802 13.250 325 322 0.0035013 13.260 350 322 0.0032283 13.270 359 321 0.0031562 13.280 335 321 0.0033802 13.290 327 321 0.0034602 13.300 340 321 0.0033412 13.310 348 320 0.0032653 13.320 338 320 0.0033412 13.330 323 320 0.0035013 13.340 337 320 0.0033802 13.350 321 320 0.0035431 13.360 337 321 0.0033802 13.370 373 321 0.0030524 13.380 348 321 0.0032653 13.390 318 321 0.0035856 13.400 299 322 0.0038104 13.410 349 322 0.0032653 13.420 350 322 0.0032283 13.430 337 323 0.0033802 13.440 344 323 0.0033029 13.450 341 324 0.0033412 13.460 350 325 0.0032283 13.470 366 325 0.0030864 13.480 323 326 0.0035013 13.490 346 327 0.0032653 13.500 353 328 0.0032283 13.510 322 329 0.0035431 13.520 371 330 0.0030524 13.530 345 331 0.0033029 13.540 366 333 0.0030864 13.550 341 334 0.0033412 13.560 333 335 0.0034199 13.570 349 337 0.0032653 13.580 334 339 0.0033802 13.590 350 340 0.0032283 13.600 349 342 0.0032653 13.610 374 344 0.0030190 13.620 350 346 0.0032283 13.630 363 349 0.0031210 13.640 358 351 0.0031562 13.650 395 354 0.0028597 13.660 374 357 0.0030190 13.670 384 360 0.0029537 13.680 391 363 0.0028905 13.690 380 366 0.0029861 13.700 374 370 0.0030190 13.710 410 374 0.0027701 13.720 364 379 0.0031210 13.730 381 383 0.0029861 13.740 400 389 0.0028293 13.750 389 394 0.0029218 13.760 407 400 0.0027701 13.770 388 407 0.0029218 13.780 449 414 0.0025252 13.790 454 422 0.0025000 13.800 450 431 0.0025252 13.810 456 440 0.0024752 13.820 440 451 0.0025767 13.830 441 462 0.0025508 13.840 469 475 0.0024029 13.850 516 489 0.0021836 13.860 536 505 0.0021042 13.870 549 523 0.0020661 13.880 530 543 0.0021236 13.890 578 565 0.0019579 13.900 598 590 0.0018904 13.910 622 620 0.0018108 13.920 650 653 0.0017361 13.930 659 691 0.0017075 13.940 734 736 0.0015379 13.950 749 789 0.0015023 13.960 883 850 0.0012755 13.970 911 924 0.0012398 13.980 964 1012 0.0011728 13.990 1093 1119 0.0010339 14.000 1242 1248 0.0009072 14.010 1355 1406 0.0008305 14.020 1649 1598 0.0006853 14.030 1907 1831 0.0005920 14.040 2187 2108 0.0005142 14.050 2506 2432 0.0004508 14.060 2888 2802 0.0003906 14.070 3368 3213 0.0003342 14.080 3800 3652 0.0002962 14.090 4121 4091 0.0002732 14.100 4525 4486 0.0002488 14.110 4729 4770 0.0002381 14.120 4728 4872 0.0002381 14.130 4535 4744 0.0002480 14.140 4337 4405 0.0002593 14.150 3798 3935 0.0002962 14.160 3567 3431 0.0003155 14.170 3059 2966 0.0003684 14.180 2603 2575 0.0004322 14.190 2314 2265 0.0004852 14.200 2040 2031 0.0005510 14.210 1827 1864 0.0006157 14.220 1745 1757 0.0006442 14.230 1671 1707 0.0006712 14.240 1681 1713 0.0006677 14.250 1720 1773 0.0006541 14.260 1824 1889 0.0006157 14.270 2095 2059 0.0005358 14.280 2303 2284 0.0004873 14.290 2609 2562 0.0004304 14.300 3088 2884 0.0003628 14.310 3386 3223 0.0003318 14.320 3513 3508 0.0003189 14.330 3490 3620 0.0003212 14.340 3434 3445 0.0003258 14.350 2995 3015 0.0003741 14.360 2577 2504 0.0004340 14.370 2216 2057 0.0005050 14.380 1800 1719 0.0006219 14.390 1466 1476 0.0007631 14.400 1291 1306 0.0008651 14.410 1111 1189 0.0010078 14.420 1110 1109 0.0010078 14.430 987 1058 0.0011337 14.440 946 1030 0.0011809 14.450 975 1021 0.0011491 14.460 1021 1030 0.0010964 14.470 954 1055 0.0011728 14.480 1003 1098 0.0011111 14.490 1137 1159 0.0009827 14.500 1208 1241 0.0009239 14.510 1306 1344 0.0008550 14.520 1442 1472 0.0007759 14.530 1582 1624 0.0007073 14.540 1758 1799 0.0006345 14.550 2058 1994 0.0005434 14.560 2233 2202 0.0005005 14.570 2464 2409 0.0004527 14.580 2660 2598 0.0004199 14.590 2893 2741 0.0003860 14.600 2838 2812 0.0003921 14.610 2825 2788 0.0003952 14.620 2664 2666 0.0004182 14.630 2526 2465 0.0004414 14.640 2341 2220 0.0004747 14.650 2004 1967 0.0005562 14.660 1745 1729 0.0006377 14.670 1592 1518 0.0006999 14.680 1301 1338 0.0008550 14.690 1239 1188 0.0008964 14.700 1030 1063 0.0010821 14.710 932 960 0.0011891 14.720 837 874 0.0013320 14.730 729 802 0.0015259 14.740 691 742 0.0016129 14.750 604 691 0.0018420 14.760 582 648 0.0019069 14.770 612 611 0.0018108 14.780 521 579 0.0021236 14.790 506 552 0.0021836 14.800 471 528 0.0023565 14.810 483 508 0.0022893 14.820 457 490 0.0024267 14.830 472 474 0.0023565 14.840 424 460 0.0026031 14.850 480 448 0.0023114 14.860 438 438 0.0025252 14.870 440 428 0.0025252 14.880 403 421 0.0027412 14.890 381 414 0.0028905 14.900 382 408 0.0028905 14.910 361 404 0.0030524 14.920 409 400 0.0027127 14.930 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195 200 0.0058272 37.700 216 197 0.0053279 37.710 183 195 0.0062000 37.720 180 192 0.0062988 37.730 203 190 0.0055692 37.740 196 188 0.0058272 37.750 181 186 0.0062988 37.760 187 185 0.0061035 37.770 170 184 0.0067186 37.780 203 183 0.0055692 37.790 171 183 0.0066098 37.800 194 183 0.0059172 37.810 190 183 0.0060093 37.820 184 183 0.0062000 37.830 171 183 0.0066098 37.840 167 184 0.0068301 37.850 199 184 0.0057392 37.860 182 185 0.0062000 37.870 166 186 0.0068301 37.880 191 187 0.0059172 37.890 167 187 0.0068301 37.900 177 187 0.0064000 37.910 170 186 0.0067186 37.920 161 185 0.0070616 37.930 167 183 0.0068301 37.940 175 181 0.0065036 37.950 189 180 0.0060093 37.960 168 178 0.0067186 37.970 167 176 0.0068301 37.980 198 174 0.0057392 37.990 159 173 0.0071818 38.000 167 172 0.0068301 38.010 173 171 0.0066098 38.020 163 170 0.0069444 38.030 159 170 0.0071818 38.040 166 169 0.0068301 38.050 165 169 0.0068301 38.060 161 169 0.0070616 38.070 169 169 0.0067186 38.080 178 169 0.0064000 38.090 176 169 0.0065036 38.100 175 169 0.0065036 38.110 183 170 0.0062000 38.120 165 170 0.0069444 38.130 165 171 0.0069444 38.140 163 172 0.0069444 38.150 189 173 0.0060093 38.160 187 175 0.0061035 38.170 181 177 0.0062988 38.180 171 179 0.0067186 38.190 166 181 0.0068301 38.200 190 183 0.0060093 38.210 184 186 0.0062000 38.220 182 188 0.0062988 38.230 174 189 0.0066098 38.240 198 190 0.0058272 38.250 184 189 0.0062000 38.260 192 188 0.0059172 38.270 189 187 0.0061035 38.280 207 185 0.0055692 38.290 180 183 0.0064000 38.300 194 181 0.0059172 38.310 201 180 0.0057392 38.320 209 179 0.0054870 38.330 193 178 0.0059172 38.340 175 177 0.0066098 38.350 179 177 0.0064000 38.360 199 176 0.0057392 38.370 177 175 0.0065036 38.380 194 175 0.0059172 38.390 178 175 0.0065036 38.400 185 175 0.0062000 38.410 162 176 0.0070616 38.420 176 177 0.0065036 38.430 146 179 0.0078315 38.440 163 182 0.0070616 38.450 163 186 0.0070616 38.460 171 191 0.0067186 38.470 171 195 0.0067186 38.480 173 199 0.0066098 38.490 184 199 0.0062000 38.500 177 197 0.0065036 38.510 184 192 0.0062988 38.520 183 187 0.0062988 38.530 164 182 0.0069444 38.540 191 179 0.0060093 38.550 164 176 0.0069444 38.560 187 174 0.0061035 38.570 184 172 0.0062000 38.580 159 171 0.0071818 38.590 190 171 0.0061035 38.600 159 170 0.0071818 38.610 170 170 0.0067186 38.620 182 170 0.0062988 38.630 177 170 0.0065036 38.640 184 170 0.0062000 38.650 169 170 0.0068301 38.660 169 171 0.0068301 38.670 170 171 0.0068301 38.680 162 172 0.0070616 38.690 181 172 0.0064000 38.700 170 173 0.0067186 38.710 163 174 0.0070616 38.720 176 175 0.0065036 38.730 189 176 0.0061035 38.740 199 177 0.0057392 38.750 179 179 0.0064000 38.760 161 180 0.0070616 38.770 180 182 0.0064000 38.780 166 184 0.0069444 38.790 173 187 0.0066098 38.800 182 190 0.0062988 38.810 195 193 0.0059172 38.820 217 197 0.0052510 38.830 215 201 0.0053279 38.840 227 206 0.0050299 38.850 214 211 0.0053279 38.860 208 217 0.0054870 38.870 223 222 0.0051020 38.880 199 227 0.0057392 38.890 215 231 0.0053279 38.900 241 234 0.0047562 38.910 225 236 0.0051020 38.920 232 236 0.0048902 38.930 225 235 0.0051020 38.940 228 233 0.0050299 38.950 256 231 0.0044444 38.960 231 229 0.0049593 38.970 247 226 0.0046277 38.980 253 224 0.0045043 38.990 229 223 0.0049593 39.000 202 222 0.0056532 39.010 237 222 0.0048225 39.020 264 223 0.0043283 39.030 245 224 0.0046277 39.040 232 227 0.0048902 39.050 238 230 0.0047562 39.060 260 235 0.0043858 39.070 235 241 0.0048225 39.080 266 249 0.0042719 39.090 234 258 0.0048225 39.100 260 271 0.0043858 39.110 259 286 0.0043858 39.120 288 303 0.0039555 39.130 296 320 0.0038104 39.140 298 333 0.0038104 39.150 319 336 0.0035431 39.160 295 330 0.0038104 39.170 307 320 0.0036731 39.180 265 309 0.0042719 39.190 324 300 0.0035013 39.200 286 294 0.0039555 39.210 306 290 0.0036731 39.220 304 288 0.0037180 39.230 277 288 0.0040570 39.240 305 289 0.0036731 39.250 312 291 0.0035856 39.260 295 294 0.0038104 39.270 304 299 0.0037180 39.280 319 307 0.0035431 39.290 346 316 0.0032283 39.300 340 326 0.0033029 39.310 376 336 0.0029861 39.320 344 343 0.0032653 39.330 345 346 0.0032653 39.340 334 343 0.0033412 39.350 352 334 0.0031919 39.360 342 322 0.0033029 39.370 290 308 0.0038579 39.380 347 295 0.0032283 39.390 282 283 0.0039555 39.400 318 275 0.0035431 39.410 304 270 0.0036731 39.420 284 268 0.0039555 39.430 279 269 0.0040058 39.440 255 273 0.0043858 39.450 260 279 0.0043283 39.460 271 284 0.0041623 39.470 267 285 0.0042166 39.480 245 280 0.0045654 39.490 267 271 0.0042166 39.500 243 260 0.0046277 39.510 295 251 0.0038104 39.520 244 243 0.0045654 39.530 277 238 0.0040570 39.540 242 236 0.0046277 39.550 241 235 0.0046277 39.560 235 235 0.0047562 39.570 234 237 0.0048225 39.580 280 241 0.0040058 39.590 265 246 0.0042166 39.600 254 252 0.0044444 39.610 282 260 0.0040058 39.620 287 268 0.0039063 39.630 290 277 0.0038579 39.640 284 285 0.0039555 39.650 294 290 0.0038104 39.660 273 293 0.0041091 39.670 282 292 0.0039555 39.680 289 288 0.0039063 39.690 265 282 0.0042166 39.700 268 276 0.0042166 39.710 268 271 0.0042166 39.720 270 266 0.0041623 39.730 296 262 0.0038104 39.740 261 260 0.0043283 39.750 274 257 0.0041091 39.760 244 255 0.0046277 39.770 259 254 0.0043283 39.780 252 252 0.0044444 39.790 264 250 0.0042719 39.800 250 248 0.0045043 39.810 247 246 0.0045654 39.820 259 243 0.0043283 39.830 246 240 0.0045654 39.840 233 236 0.0048225 39.850 247 233 0.0045654 39.860 217 229 0.0051757 39.870 226 225 0.0049593 39.880 222 222 0.0051020 39.890 197 218 0.0057392 39.900 231 215 0.0048902 39.910 204 212 0.0055692 39.920 211 209 0.0053279 39.930 197 207 0.0057392 39.940 195 205 0.0058272 39.950 175 203 0.0065036 39.960 200 201 0.0056532 39.970 204 199 0.0055692 39.980 185 198 0.0061035 39.990 203 198 0.0055692 40.000 192 197 0.0059172 40.010 223 197 0.0051020 40.020 205 198 0.0054870 40.030 210 198 0.0054066 40.040 206 199 0.0054870 40.050 214 201 0.0053279 40.060 216 203 0.0052510 40.070 188 206 0.0060093 40.080 201 209 0.0056532 40.090 217 213 0.0052510 40.100 223 218 0.0051020 40.110 248 224 0.0045654 40.120 233 230 0.0048902 40.130 228 237 0.0049593 40.140 240 245 0.0046913 40.150 280 254 0.0040570 40.160 247 262 0.0046277 40.170 258 269 0.0043858 40.180 268 275 0.0042166 40.190 231 278 0.0048902 40.200 314 279 0.0036290 40.210 245 276 0.0046277 40.220 270 271 0.0042166 40.230 269 265 0.0042166 40.240 232 257 0.0048902 40.250 269 250 0.0042166 40.260 255 242 0.0044444 40.270 231 236 0.0048902 40.280 232 231 0.0048902 40.290 233 227 0.0048902 40.300 218 224 0.0052510 40.310 250 222 0.0045654 40.320 259 221 0.0043858 40.330 248 222 0.0045654 40.340 256 225 0.0044444 40.350 245 229 0.0046277 40.360 222 235 0.0051020 40.370 255 243 0.0044444 40.380 254 254 0.0044444 40.390 287 268 0.0039555 40.400 229 284 0.0049593 40.410 284 300 0.0040058 40.420 248 315 0.0045654 40.430 298 323 0.0038104 40.440 266 321 0.0042166 40.450 288 312 0.0039063 40.460 268 297 0.0042166 40.470 257 281 0.0043858 40.480 252 265 0.0044444 40.490 265 253 0.0042166 40.500 246 243 0.0045654 40.510 235 235 0.0048225 40.520 239 230 0.0046913 40.530 232 226 0.0048225 40.540 247 224 0.0045654 40.550 192 223 0.0058272 40.560 224 222 0.0050299 40.570 231 223 0.0048902 40.580 236 225 0.0047562 40.590 247 226 0.0045043 40.600 259 227 0.0043283 40.610 229 228 0.0048902 40.620 240 227 0.0046913 40.630 236 224 0.0047562 40.640 215 220 0.0051757 40.650 224 215 0.0049593 40.660 192 210 0.0058272 40.670 209 205 0.0053279 40.680 192 201 0.0058272 40.690 187 197 0.0060093 40.700 165 194 0.0067186 40.710 202 191 0.0054870 40.720 190 188 0.0058272 40.730 167 186 0.0066098 40.740 185 184 0.0060093 40.750 180 182 0.0062000 40.760 166 181 0.0067186 40.770 183 180 0.0061035 40.780 175 179 0.0064000 40.790 191 178 0.0058272 40.800 173 178 0.0064000 40.810 198 177 0.0055692 40.820 168 177 0.0066098 40.830 165 177 0.0067186 40.840 172 177 0.0064000 40.850 177 177 0.0062988 40.860 190 177 0.0058272 40.870 175 178 0.0062988 40.880 187 178 0.0059172 40.890 187 179 0.0059172 40.900 174 180 0.0064000 40.910 170 181 0.0065036 40.920 182 182 0.0061035 40.930 157 184 0.0070616 40.940 172 186 0.0064000 40.950 184 188 0.0060093 40.960 179 190 0.0062000 40.970 189 192 0.0058272 40.980 214 195 0.0051757 40.990 194 198 0.0056532 41.000 188 201 0.0059172 41.010 217 204 0.0051020 41.020 187 208 0.0059172 41.030 208 212 0.0053279 41.040 213 216 0.0051757 41.050 201 221 0.0054870 41.060 227 226 0.0048902 41.070 210 230 0.0052510 41.080 222 235 0.0049593 41.090 249 240 0.0044444 41.100 265 244 0.0041623 41.110 254 248 0.0043858 41.120 241 251 0.0046277 41.130 256 253 0.0043283 41.140 250 255 0.0044444 41.150 230 255 0.0048225 41.160 261 254 0.0042719 41.170 243 253 0.0045654 41.180 267 250 0.0041623 41.190 259 247 0.0042719 41.200 240 244 0.0046277 41.210 232 240 0.0047562 41.220 266 236 0.0041623 41.230 238 233 0.0046913 41.240 235 230 0.0047562 41.250 249 227 0.0044444 41.260 226 225 0.0049593 41.270 217 224 0.0051020 41.280 227 222 0.0048902 41.290 246 222 0.0045043 41.300 203 222 0.0054870 41.310 233 222 0.0047562 41.320 242 224 0.0046277 41.330 258 225 0.0043283 41.340 226 228 0.0049593 41.350 246 230 0.0045043 41.360 229 234 0.0048902 41.370 240 237 0.0046277 41.380 249 242 0.0045043 41.390 262 246 0.0042719 41.400 287 251 0.0039063 41.410 274 256 0.0041091 41.420 289 260 0.0038579 41.430 256 264 0.0043858 41.440 284 268 0.0039555 41.450 248 270 0.0045043 41.460 299 272 0.0037638 41.470 285 273 0.0039555 41.480 278 272 0.0040570 41.490 275 272 0.0040570 41.500 245 270 0.0045654 41.510 250 269 0.0045043 41.520 275 268 0.0040570 41.530 269 266 0.0041623 41.540 285 264 0.0039063 41.550 278 262 0.0040058 41.560 264 258 0.0042719 41.570 234 253 0.0047562 41.580 264 248 0.0042719 41.590 255 242 0.0043858 41.600 251 236 0.0044444 41.610 229 231 0.0048902 41.620 262 228 0.0042719 41.630 206 225 0.0054066 41.640 190 223 0.0058272 41.650 229 222 0.0048902 41.660 230 222 0.0048902 41.670 236 223 0.0047562 41.680 191 225 0.0058272 41.690 234 228 0.0047562 41.700 245 231 0.0045654 41.710 231 235 0.0048225 41.720 211 240 0.0053279 41.730 214 244 0.0051757 41.740 233 248 0.0047562 41.750 219 251 0.0051020 41.760 237 252 0.0046913 41.770 240 252 0.0046277 41.780 243 250 0.0045654 41.790 237 246 0.0046913 41.800 245 240 0.0045654 41.810 220 234 0.0050299 41.820 220 228 0.0050299 41.830 216 221 0.0051020 41.840 223 215 0.0049593 41.850 234 210 0.0047562 41.860 207 205 0.0053279 41.870 234 200 0.0047562 41.880 197 197 0.0056532 41.890 204 194 0.0054066 41.900 200 191 0.0055692 41.910 210 189 0.0052510 41.920 193 188 0.0057392 41.930 201 186 0.0054870 41.940 198 186 0.0055692 41.950 196 185 0.0056532 41.960 191 185 0.0057392 41.970 192 186 0.0057392 41.980 184 187 0.0060093 41.990 191 188 0.0057392 42.000 184 190 0.0060093 42.010 191 192 0.0057392 42.020 235 195 0.0046913 42.030 196 197 0.0055692 42.040 214 200 0.0051757 42.050 203 203 0.0054066 42.060 169 205 0.0065036 42.070 220 207 0.0050299 42.080 211 208 0.0051757 42.090 209 208 0.0052510 42.100 215 208 0.0051020 42.110 214 208 0.0051020 42.120 215 209 0.0051020 42.130 206 209 0.0053279 42.140 231 210 0.0047562 42.150 222 211 0.0048902 42.160 209 212 0.0052510 42.170 224 213 0.0048902 42.180 227 213 0.0048225 42.190 192 211 0.0056532 42.200 204 210 0.0053279 42.210 215 208 0.0051020 42.220 214 207 0.0051020 42.230 205 207 0.0053279 42.240 219 208 0.0049593 42.250 227 211 0.0048225 42.260 195 215 0.0055692 42.270 237 220 0.0046277 42.280 217 225 0.0050299 42.290 207 229 0.0052510 42.300 171 231 0.0064000 42.310 192 230 0.0056532 42.320 228 226 0.0048225 42.330 196 220 0.0055692 42.340 192 212 0.0056532 42.350 211 204 0.0051757 42.360 187 197 0.0058272 42.370 208 191 0.0052510 42.380 178 186 0.0061035 42.390 186 181 0.0058272 42.400 169 177 0.0064000 42.410 187 174 0.0058272 42.420 171 172 0.0064000 42.430 165 170 0.0066098 42.440 163 168 0.0067186 42.450 178 167 0.0061035 42.460 166 165 0.0065036 42.470 160 164 0.0068301 42.480 160 164 0.0068301 42.490 163 163 0.0067186 42.500 160 162 0.0068301 42.510 173 162 0.0062988 42.520 170 162 0.0064000 42.530 167 162 0.0065036 42.540 183 162 0.0059172 42.550 168 162 0.0065036 42.560 159 162 0.0068301 42.570 164 162 0.0066098 42.580 186 163 0.0058272 42.590 164 163 0.0066098 42.600 168 164 0.0065036 42.610 177 165 0.0061035 42.620 191 166 0.0057392 42.630 152 167 0.0071818 42.640 169 168 0.0064000 42.650 189 169 0.0057392 42.660 189 170 0.0057392 42.670 183 172 0.0059172 42.680 188 173 0.0058272 42.690 188 174 0.0058272 42.700 197 175 0.0054870 42.710 190 175 0.0057392 42.720 184 176 0.0059172 42.730 163 176 0.0067186 42.740 179 176 0.0061035 42.750 180 176 0.0061035 42.760 177 176 0.0062000 42.770 191 176 0.0057392 42.780 182 176 0.0060093 42.790 170 176 0.0064000 42.800 187 177 0.0058272 42.810 171 178 0.0064000 42.820 195 179 0.0055692 42.830 190 181 0.0057392 42.840 196 183 0.0055692 42.850 176 186 0.0062000 42.860 186 189 0.0059172 42.870 185 193 0.0059172 42.880 178 197 0.0061035 42.890 172 202 0.0062988 42.900 197 205 0.0055692 42.910 219 208 0.0050299 42.920 194 210 0.0056532 42.930 169 210 0.0065036 42.940 195 209 0.0056532 42.950 228 207 0.0048225 42.960 207 206 0.0053279 42.970 198 204 0.0054870 42.980 202 202 0.0054066 42.990 189 200 0.0057392 43.000 181 199 0.0060093 43.010 180 197 0.0061035 43.020 201 195 0.0054066 43.030 193 192 0.0056532 43.040 186 190 0.0059172 43.050 184 189 0.0059172 43.060 195 187 0.0056532 43.070 186 185 0.0059172 43.080 178 184 0.0061035 43.090 188 182 0.0058272 43.100 196 181 0.0055692 43.110 180 180 0.0061035 43.120 175 179 0.0062988 43.130 180 178 0.0061035 43.140 168 177 0.0065036 43.150 181 177 0.0060093 43.160 182 177 0.0060093 43.170 170 176 0.0065036 43.180 181 176 0.0060093 43.190 181 176 0.0060093 43.200 152 177 0.0071818 43.210 179 178 0.0061035 43.220 189 178 0.0058272 43.230 189 180 0.0058272 43.240 210 181 0.0052510 43.250 209 183 0.0052510 43.260 194 185 0.0056532 43.270 189 188 0.0058272 43.280 183 190 0.0060093 43.290 188 193 0.0058272 43.300 213 197 0.0051757 43.310 212 201 0.0051757 43.320 204 205 0.0054066 43.330 224 210 0.0048902 43.340 209 216 0.0052510 43.350 230 222 0.0047562 43.360 231 228 0.0047562 43.370 242 234 0.0045654 43.380 245 239 0.0045043 43.390 253 243 0.0043283 43.400 248 244 0.0044444 43.410 241 243 0.0045654 43.420 224 242 0.0048902 43.430 260 242 0.0042166 43.440 259 243 0.0042166 43.450 248 246 0.0044444 43.460 256 251 0.0042719 43.470 244 258 0.0045043 43.480 276 267 0.0039555 43.490 292 276 0.0037638 43.500 300 282 0.0036290 43.510 275 285 0.0040058 43.520 290 283 0.0037638 43.530 277 275 0.0039555 43.540 240 263 0.0045654 43.550 240 250 0.0045654 43.560 214 237 0.0051020 43.570 231 225 0.0047562 43.580 208 215 0.0052510 43.590 191 207 0.0057392 43.600 214 200 0.0051020 43.610 188 194 0.0058272 43.620 196 189 0.0055692 43.630 191 185 0.0057392 43.640 162 182 0.0067186 43.650 189 179 0.0057392 43.660 166 177 0.0065036 43.670 187 175 0.0058272 43.680 185 173 0.0059172 43.690 157 172 0.0069444 43.700 165 171 0.0066098 43.710 193 171 0.0056532 43.720 164 170 0.0066098 43.730 184 170 0.0059172 43.740 164 170 0.0066098 43.750 172 170 0.0062988 43.760 148 170 0.0073051 43.770 184 171 0.0059172 43.780 182 171 0.0059172 43.790 175 171 0.0062000 43.800 161 171 0.0067186 43.810 157 171 0.0068301 43.820 178 172 0.0061035 43.830 174 172 0.0062000 43.840 172 172 0.0062988 43.850 164 172 0.0066098 43.860 178 172 0.0060093 43.870 157 172 0.0068301 43.880 191 172 0.0056532 43.890 182 172 0.0059172 43.900 166 173 0.0065036 43.910 163 174 0.0066098 43.920 168 176 0.0064000 43.930 172 178 0.0062988 43.940 158 180 0.0068301 43.950 157 183 0.0068301 43.960 182 186 0.0059172 43.970 217 189 0.0049593 43.980 181 191 0.0059172 43.990 185 192 0.0058272 44.000 174 191 0.0062000 44.010 155 189 0.0069444 44.020 165 187 0.0065036 44.030 191 184 0.0056532 44.040 176 182 0.0061035 44.050 171 181 0.0062988 44.060 181 180 0.0059172 44.070 176 180 0.0061035 44.080 179 181 0.0060093 44.090 187 181 0.0057392 44.100 176 182 0.0061035 44.110 199 183 0.0054066 44.120 169 184 0.0062988 44.130 182 185 0.0059172 44.140 174 186 0.0062000 44.150 193 187 0.0055692 44.160 165 188 0.0065036 44.170 183 189 0.0058272 44.180 184 190 0.0058272 44.190 203 191 0.0052510 44.200 186 192 0.0057392 44.210 197 194 0.0054066 44.220 188 196 0.0056532 44.230 198 198 0.0054066 44.240 200 201 0.0054066 44.250 169 203 0.0064000 44.260 187 206 0.0057392 44.270 206 208 0.0051757 44.280 173 209 0.0062000 44.290 193 209 0.0055692 44.300 203 207 0.0052510 44.310 197 205 0.0054870 44.320 223 203 0.0048225 44.330 183 201 0.0059172 44.340 212 200 0.0050299 44.350 197 199 0.0054066 44.360 206 199 0.0052510 44.370 217 200 0.0049593 44.380 235 201 0.0045654 44.390 202 204 0.0053279 44.400 212 207 0.0050299 44.410 209 210 0.0051020 44.420 242 214 0.0044444 44.430 227 218 0.0047562 44.440 206 222 0.0052510 44.450 238 226 0.0045043 44.460 228 229 0.0046913 44.470 213 231 0.0050299 44.480 221 232 0.0048902 44.490 206 231 0.0052510 44.500 238 229 0.0045043 44.510 228 225 0.0047562 44.520 218 221 0.0049593 44.530 217 216 0.0049593 44.540 209 211 0.0051757 44.550 207 206 0.0051757 44.560 203 202 0.0053279 44.570 204 198 0.0052510 44.580 206 194 0.0052510 44.590 195 190 0.0055692 44.600 190 187 0.0056532 44.610 192 185 0.0056532 44.620 168 183 0.0064000 44.630 194 181 0.0055692 44.640 189 180 0.0057392 44.650 197 179 0.0054870 44.660 181 178 0.0060093 44.670 176 178 0.0061035 44.680 183 177 0.0059172 44.690 173 177 0.0062000 44.700 183 176 0.0059172 44.710 184 176 0.0059172 44.720 187 175 0.0058272 44.730 189 175 0.0057392 44.740 177 174 0.0061035 44.750 192 174 0.0056532 44.760 184 173 0.0059172 44.770 202 172 0.0053279 44.780 158 171 0.0068301 44.790 165 170 0.0065036 44.800 193 169 0.0056532 44.810 142 167 0.0075614 44.820 177 166 0.0061035 44.830 173 165 0.0062988 44.840 164 163 0.0066098 44.850 165 162 0.0065036 44.860 175 161 0.0062000 44.870 148 160 0.0073051 44.880 156 159 0.0069444 44.890 142 158 0.0075614 44.900 154 157 0.0070616 44.910 194 156 0.0055692 44.920 171 155 0.0062988 44.930 175 155 0.0062000 44.940 153 154 0.0070616 44.950 166 154 0.0065036 44.960 134 154 0.0079719 44.970 144 154 0.0075614 44.980 167 153 0.0065036 44.990 145 153 0.0074316 45.000 182 153 0.0059172 #===END data_As43 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P0.57 As0.43 O4)3 O H' _chemical_formula_sum 'As1.29 Ca5 H O13 P1.71' _chemical_formula_weight 559.0 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.5640(3) _cell_length_b 9.5640(3) _cell_length_c 6.9360(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 549.44(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69850 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.04573 _pd_proc_ls_prof_wR_factor 0.06030 _pd_proc_ls_prof_wR_expected 0.02800 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 2.153 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.0 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69850 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As43_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.31891(69) 0.48632(64) 0.25 1 1.033(27) O2 O 6 0.59069(67) 0.46372(70) 0.25 1 1.033(27) O3 O 12 0.34097(45) 0.25623(49) 0.06362(53) 1 1.033(27) As1 As 6 0.39666(21) 0.36810(20) 0.25 0.4325(37) 1.033(27) P1 P 6 0.39666(21) 0.36810(20) 0.25 0.5675(37) 1.033(27) Ca1 Ca 4 0.3333333 0.6666667 0.00332(49) 1 1.033(27) Ca2 Ca 6 0.24560(25) 0.99521(32) 0.25 1 1.033(27) O4 O 4 0 0 0.6929(15) 0.5 1.033(27) #============================================================================== ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As42_pattern _pd_block_id HAP_As42_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 651 577 0.0018579 2.010 597 573 0.0035856 2.020 606 569 0.0035431 2.030 580 565 0.0037180 2.040 601 561 0.0035856 2.050 563 557 0.0038104 2.060 569 553 0.0037638 2.070 558 549 0.0038579 2.080 574 546 0.0037638 2.090 549 542 0.0039063 2.100 537 538 0.0040058 2.110 559 535 0.0038579 2.120 564 531 0.0038104 2.130 530 528 0.0040570 2.140 520 524 0.0041623 2.150 561 521 0.0038579 2.160 521 517 0.0041623 2.170 518 514 0.0041623 2.180 515 510 0.0042166 2.190 526 507 0.0041091 2.200 514 504 0.0042166 2.210 478 501 0.0045654 2.220 488 497 0.0044444 2.230 517 494 0.0042166 2.240 484 491 0.0045043 2.250 474 488 0.0045654 2.260 494 485 0.0043858 2.270 493 482 0.0044444 2.280 490 479 0.0044444 2.290 496 476 0.0043858 2.300 491 473 0.0044444 2.310 466 470 0.0046913 2.320 463 467 0.0046913 2.330 438 464 0.0049593 2.340 479 462 0.0045654 2.350 455 459 0.0048225 2.360 462 456 0.0047562 2.370 447 453 0.0048902 2.380 449 451 0.0048902 2.390 446 448 0.0048902 2.400 441 445 0.0049593 2.410 453 443 0.0048225 2.420 451 440 0.0048225 2.430 420 437 0.0051757 2.440 409 435 0.0053279 2.450 409 432 0.0053279 2.460 429 430 0.0051020 2.470 435 427 0.0050299 2.480 420 425 0.0052510 2.490 419 423 0.0052510 2.500 402 420 0.0054870 2.510 416 418 0.0052510 2.520 405 416 0.0054066 2.530 444 413 0.0049593 2.540 424 411 0.0051757 2.550 402 409 0.0054870 2.560 402 406 0.0054870 2.570 365 404 0.0060093 2.580 420 402 0.0052510 2.590 376 400 0.0058272 2.600 394 398 0.0055692 2.610 397 395 0.0055692 2.620 386 393 0.0056532 2.630 391 391 0.0055692 2.640 391 389 0.0055692 2.650 365 387 0.0060093 2.660 398 385 0.0054870 2.670 392 383 0.0055692 2.680 370 381 0.0059172 2.690 373 379 0.0059172 2.700 366 377 0.0060093 2.710 371 375 0.0059172 2.720 358 373 0.0061035 2.730 332 371 0.0066098 2.740 357 370 0.0061035 2.750 376 368 0.0058272 2.760 352 366 0.0062000 2.770 373 364 0.0059172 2.780 350 362 0.0062988 2.790 368 360 0.0060093 2.800 368 359 0.0059172 2.810 362 357 0.0061035 2.820 347 355 0.0062988 2.830 369 353 0.0059172 2.840 339 352 0.0065036 2.850 348 350 0.0062988 2.860 343 348 0.0064000 2.870 346 347 0.0062988 2.880 336 345 0.0065036 2.890 336 343 0.0065036 2.900 339 342 0.0065036 2.910 316 340 0.0069444 2.920 325 339 0.0067186 2.930 314 337 0.0069444 2.940 310 335 0.0070616 2.950 328 334 0.0067186 2.960 323 332 0.0068301 2.970 329 331 0.0066098 2.980 323 329 0.0067186 2.990 317 328 0.0069444 3.000 323 326 0.0068301 3.010 323 325 0.0067186 3.020 308 324 0.0070616 3.030 322 322 0.0068301 3.040 332 321 0.0066098 3.050 321 319 0.0068301 3.060 325 318 0.0067186 3.070 298 316 0.0073051 3.080 308 315 0.0070616 3.090 319 314 0.0068301 3.100 332 312 0.0066098 3.110 303 311 0.0071818 3.120 316 310 0.0069444 3.130 283 308 0.0076947 3.140 320 307 0.0068301 3.150 312 306 0.0069444 3.160 310 305 0.0070616 3.170 297 303 0.0073051 3.180 308 302 0.0070616 3.190 310 301 0.0070616 3.200 310 300 0.0070616 3.210 310 298 0.0070616 3.220 301 297 0.0073051 3.230 278 296 0.0078315 3.240 320 295 0.0068301 3.250 307 294 0.0070616 3.260 294 293 0.0074316 3.270 281 291 0.0076947 3.280 268 290 0.0081162 3.290 300 289 0.0073051 3.300 303 288 0.0071818 3.310 299 287 0.0073051 3.320 284 286 0.0076947 3.330 269 285 0.0081162 3.340 287 284 0.0075614 3.350 278 283 0.0078315 3.360 294 282 0.0074316 3.370 282 280 0.0076947 3.380 277 279 0.0078315 3.390 281 278 0.0076947 3.400 293 277 0.0074316 3.410 298 276 0.0073051 3.420 266 275 0.0081162 3.430 269 274 0.0081162 3.440 259 273 0.0084168 3.450 262 273 0.0082645 3.460 280 272 0.0078315 3.470 263 271 0.0082645 3.480 270 270 0.0079719 3.490 270 269 0.0075614 3.500 254 268 0.0079719 3.510 275 267 0.0074316 3.520 269 266 0.0075614 3.530 271 265 0.0074316 3.540 257 264 0.0078315 3.550 258 263 0.0078315 3.560 243 263 0.0084168 3.570 245 262 0.0082645 3.580 264 261 0.0076947 3.590 277 260 0.0073051 3.600 265 260 0.0076947 3.610 239 259 0.0085734 3.620 254 258 0.0079719 3.630 238 257 0.0085734 3.640 264 257 0.0076947 3.650 249 256 0.0082645 3.660 272 255 0.0075614 3.670 256 254 0.0079719 3.680 261 254 0.0078315 3.690 233 253 0.0087344 3.700 261 252 0.0078315 3.710 247 251 0.0082645 3.720 254 251 0.0079719 3.730 257 250 0.0079719 3.740 219 249 0.0094260 3.750 253 248 0.0081162 3.760 274 248 0.0074316 3.770 248 247 0.0082645 3.780 247 246 0.0082645 3.790 249 246 0.0081162 3.800 249 245 0.0081162 3.810 230 244 0.0087344 3.820 269 244 0.0075614 3.830 249 243 0.0081162 3.840 237 242 0.0085734 3.850 243 242 0.0082645 3.860 240 241 0.0084168 3.870 256 240 0.0078315 3.880 246 240 0.0082645 3.890 238 239 0.0084168 3.900 256 238 0.0079719 3.910 241 238 0.0084168 3.920 240 237 0.0084168 3.930 234 237 0.0085734 3.940 236 236 0.0085734 3.950 241 236 0.0084168 3.960 229 235 0.0089000 3.970 243 234 0.0082645 3.980 252 234 0.0081162 3.990 235 233 0.0085734 4.000 233 233 0.0087344 4.010 252 232 0.0081162 4.020 236 232 0.0085734 4.030 235 231 0.0085734 4.040 218 231 0.0092456 4.050 253 230 0.0079719 4.060 238 230 0.0085734 4.070 247 229 0.0082645 4.080 220 229 0.0092456 4.090 255 229 0.0079719 4.100 238 228 0.0085734 4.110 237 228 0.0085734 4.120 226 227 0.0090703 4.130 226 227 0.0090703 4.140 224 226 0.0090703 4.150 263 226 0.0076947 4.160 228 226 0.0090703 4.170 224 225 0.0094260 4.180 240 225 0.0087344 4.190 244 225 0.0085734 4.200 218 224 0.0096117 4.210 217 224 0.0098030 4.220 244 224 0.0087344 4.230 225 223 0.0094260 4.240 236 223 0.0089000 4.250 230 223 0.0092456 4.260 237 223 0.0089000 4.270 216 222 0.0098030 4.280 218 222 0.0098030 4.290 251 222 0.0084168 4.300 235 222 0.0090703 4.310 242 222 0.0087344 4.320 235 222 0.0090703 4.330 229 222 0.0092456 4.340 222 222 0.0096117 4.350 239 222 0.0089000 4.360 216 222 0.0098030 4.370 212 222 0.0100000 4.380 235 222 0.0090703 4.390 230 222 0.0092456 4.400 227 223 0.0094260 4.410 247 223 0.0085734 4.420 223 223 0.0096117 4.430 213 224 0.0100000 4.440 215 225 0.0098030 4.450 218 226 0.0098030 4.460 235 227 0.0090703 4.470 236 228 0.0090703 4.480 236 229 0.0090703 4.490 249 231 0.0085734 4.500 236 233 0.0090703 4.510 226 236 0.0094260 4.520 246 239 0.0087344 4.530 260 244 0.0082645 4.540 250 249 0.0085734 4.550 265 255 0.0081162 4.560 253 261 0.0084168 4.570 268 269 0.0079719 4.580 297 277 0.0071818 4.590 286 286 0.0074316 4.600 289 295 0.0074316 4.610 288 306 0.0074316 4.620 278 317 0.0076947 4.630 304 329 0.0070616 4.640 332 342 0.0064000 4.650 338 357 0.0062988 4.660 375 372 0.0057392 4.670 402 389 0.0053279 4.680 423 408 0.0050299 4.690 437 428 0.0048902 4.700 447 451 0.0048225 4.710 491 475 0.0043858 4.720 478 503 0.0045043 4.730 565 533 0.0038104 4.740 557 568 0.0038579 4.750 607 606 0.0035431 4.760 670 649 0.0031919 4.770 681 697 0.0031562 4.780 713 750 0.0030190 4.790 769 805 0.0027995 4.800 798 858 0.0026846 4.810 788 896 0.0027127 4.820 747 903 0.0028597 4.830 731 862 0.0029218 4.840 667 776 0.0032283 4.850 563 669 0.0038104 4.860 521 570 0.0041091 4.870 445 489 0.0048225 4.880 381 427 0.0056532 4.890 353 381 0.0061035 4.900 320 346 0.0067186 4.910 292 320 0.0074316 4.920 269 300 0.0079719 4.930 269 284 0.0079719 4.940 231 271 0.0094260 4.950 241 261 0.0089000 4.960 245 252 0.0087344 4.970 226 245 0.0094260 4.980 239 240 0.0089000 4.990 200 234 0.0106281 5.000 227 230 0.0094260 5.010 217 226 0.0098030 5.020 219 223 0.0098030 5.030 204 220 0.0104123 5.040 216 218 0.0100000 5.050 211 216 0.0102030 5.060 216 214 0.0100000 5.070 205 212 0.0104123 5.080 190 210 0.0113173 5.090 196 209 0.0108507 5.100 188 207 0.0113173 5.110 219 206 0.0098030 5.120 213 205 0.0100000 5.130 208 204 0.0102030 5.140 211 203 0.0102030 5.150 183 202 0.0115620 5.160 202 201 0.0106281 5.170 204 200 0.0104123 5.180 187 200 0.0113173 5.190 199 199 0.0108507 5.200 193 198 0.0110803 5.210 196 198 0.0108507 5.220 207 197 0.0104123 5.230 181 196 0.0118147 5.240 198 196 0.0108507 5.250 193 195 0.0110803 5.260 198 195 0.0108507 5.270 202 195 0.0106281 5.280 197 194 0.0108507 5.290 196 194 0.0108507 5.300 191 193 0.0113173 5.310 196 193 0.0108507 5.320 188 193 0.0113173 5.330 195 192 0.0108507 5.340 188 192 0.0113173 5.350 188 192 0.0113173 5.360 189 191 0.0113173 5.370 187 191 0.0113173 5.380 197 191 0.0108507 5.390 215 191 0.0100000 5.400 194 190 0.0110803 5.410 194 190 0.0110803 5.420 199 190 0.0106281 5.430 204 190 0.0104123 5.440 198 189 0.0108507 5.450 193 189 0.0110803 5.460 175 189 0.0123457 5.470 192 189 0.0110803 5.480 185 189 0.0115620 5.490 182 188 0.0118147 5.500 209 188 0.0102030 5.510 183 188 0.0115620 5.520 204 188 0.0104123 5.530 185 188 0.0115620 5.540 193 187 0.0110803 5.550 189 187 0.0113173 5.560 189 187 0.0113173 5.570 199 187 0.0106281 5.580 206 187 0.0104123 5.590 189 187 0.0113173 5.600 190 187 0.0113173 5.610 193 186 0.0110803 5.620 182 186 0.0115620 5.630 191 186 0.0110803 5.640 196 186 0.0108507 5.650 181 186 0.0118147 5.660 182 186 0.0115620 5.670 186 186 0.0113173 5.680 176 186 0.0120758 5.690 183 186 0.0115620 5.700 176 186 0.0120758 5.710 194 185 0.0110803 5.720 181 185 0.0118147 5.730 195 185 0.0108507 5.740 195 185 0.0108507 5.750 171 185 0.0123457 5.760 189 185 0.0113173 5.770 205 185 0.0104123 5.780 186 185 0.0113173 5.790 192 185 0.0110803 5.800 174 185 0.0120758 5.810 193 185 0.0110803 5.820 188 185 0.0113173 5.830 174 185 0.0123457 5.840 184 184 0.0115620 5.850 184 184 0.0115620 5.860 193 184 0.0110803 5.870 173 184 0.0123457 5.880 182 184 0.0115620 5.890 192 184 0.0110803 5.900 181 184 0.0118147 5.910 196 184 0.0108507 5.920 209 184 0.0102030 5.930 193 184 0.0108507 5.940 186 184 0.0113173 5.950 182 184 0.0115620 5.960 178 184 0.0118147 5.970 184 184 0.0115620 5.980 195 184 0.0108507 5.990 191 184 0.0110803 6.000 200 184 0.0106281 6.010 177 184 0.0118147 6.020 200 184 0.0106281 6.030 180 183 0.0118147 6.040 181 183 0.0115620 6.050 194 183 0.0108507 6.060 197 183 0.0106281 6.070 192 183 0.0110803 6.080 192 183 0.0110803 6.090 190 183 0.0110803 6.100 203 183 0.0104123 6.110 204 183 0.0104123 6.120 192 183 0.0110803 6.130 174 183 0.0120758 6.140 194 183 0.0108507 6.150 175 183 0.0120758 6.160 196 183 0.0108507 6.170 191 183 0.0110803 6.180 192 183 0.0110803 6.190 173 183 0.0123457 6.200 181 183 0.0115620 6.210 190 183 0.0110803 6.220 177 183 0.0120758 6.230 182 183 0.0115620 6.240 166 184 0.0126247 6.250 196 184 0.0108507 6.260 188 184 0.0113173 6.270 184 184 0.0115620 6.280 183 184 0.0115620 6.290 191 184 0.0110803 6.300 171 184 0.0123457 6.310 181 184 0.0115620 6.320 193 184 0.0108507 6.330 187 184 0.0113173 6.340 191 184 0.0110803 6.350 172 184 0.0123457 6.360 188 184 0.0113173 6.370 197 184 0.0106281 6.380 179 184 0.0118147 6.390 181 184 0.0115620 6.400 190 184 0.0110803 6.410 163 184 0.0129132 6.420 196 185 0.0108507 6.430 177 185 0.0120758 6.440 180 185 0.0118147 6.450 182 185 0.0115620 6.460 186 185 0.0113173 6.470 185 185 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318 0.0108507 13.390 329 319 0.0108507 13.400 330 320 0.0108507 13.410 328 321 0.0108507 13.420 338 322 0.0106281 13.430 332 323 0.0108507 13.440 336 324 0.0106281 13.450 333 325 0.0108507 13.460 349 327 0.0102030 13.470 343 328 0.0104123 13.480 342 330 0.0104123 13.490 337 331 0.0106281 13.500 355 333 0.0102030 13.510 354 335 0.0102030 13.520 361 337 0.0100000 13.530 353 339 0.0102030 13.540 336 342 0.0106281 13.550 374 344 0.0096117 13.560 351 347 0.0102030 13.570 355 350 0.0102030 13.580 356 353 0.0100000 13.590 355 356 0.0102030 13.600 365 359 0.0098030 13.610 355 363 0.0102030 13.620 382 367 0.0094260 13.630 378 372 0.0094260 13.640 364 376 0.0098030 13.650 389 381 0.0092456 13.660 396 387 0.0090703 13.670 392 392 0.0092456 13.680 409 399 0.0087344 13.690 390 406 0.0092456 13.700 435 413 0.0082645 13.710 441 421 0.0081162 13.720 421 430 0.0085734 13.730 436 440 0.0082645 13.740 457 450 0.0078315 13.750 440 462 0.0081162 13.760 470 475 0.0076947 13.770 484 489 0.0074316 13.780 500 505 0.0071818 13.790 511 523 0.0070616 13.800 527 543 0.0068301 13.810 554 565 0.0065036 13.820 590 590 0.0061035 13.830 592 618 0.0060093 13.840 607 651 0.0059172 13.850 663 688 0.0054066 13.860 700 730 0.0051020 13.870 740 780 0.0048225 13.880 794 838 0.0045043 13.890 870 905 0.0041091 13.900 943 985 0.0038104 13.910 1050 1081 0.0034199 13.920 1159 1195 0.0030864 13.930 1313 1332 0.0027127 13.940 1454 1496 0.0024507 13.950 1719 1693 0.0020661 13.960 1944 1926 0.0018420 13.970 2264 2198 0.0015747 13.980 2630 2510 0.0013516 13.990 2917 2858 0.0012226 14.000 3370 3234 0.0010610 14.010 3834 3622 0.0009295 14.020 4023 3994 0.0008858 14.030 4330 4309 0.0008210 14.040 4495 4515 0.0007935 14.050 4600 4560 0.0007759 14.060 4418 4420 0.0008071 14.070 4118 4119 0.0008651 14.080 3827 3715 0.0009295 14.090 3430 3283 0.0010339 14.100 3055 2875 0.0011648 14.110 2620 2520 0.0013616 14.120 2329 2227 0.0015259 14.130 1973 1994 0.0017955 14.140 1783 1816 0.0019930 14.150 1615 1685 0.0022041 14.160 1507 1598 0.0023565 14.170 1378 1551 0.0025767 14.180 1412 1546 0.0025252 14.190 1476 1584 0.0024029 14.200 1585 1667 0.0022461 14.210 1716 1797 0.0020661 14.220 1924 1975 0.0018420 14.230 2122 2201 0.0016660 14.240 2521 2474 0.0014027 14.250 2844 2787 0.0012486 14.260 3206 3114 0.0011037 14.270 3425 3394 0.0010339 14.280 3503 3524 0.0010078 14.290 3331 3401 0.0010610 14.300 3115 3038 0.0011337 14.310 2657 2577 0.0013320 14.320 2256 2156 0.0015623 14.330 1912 1830 0.0018579 14.340 1638 1598 0.0021633 14.350 1396 1439 0.0025252 14.360 1279 1336 0.0027701 14.370 1193 1274 0.0029537 14.380 1202 1245 0.0029537 14.390 1141 1244 0.0030864 14.400 1188 1267 0.0029861 14.410 1245 1313 0.0028293 14.420 1315 1381 0.0026846 14.430 1392 1472 0.0025508 14.440 1568 1585 0.0022461 14.450 1684 1718 0.0021042 14.460 1876 1868 0.0018904 14.470 2093 2031 0.0016935 14.480 2286 2197 0.0015500 14.490 2422 2354 0.0014568 14.500 2497 2487 0.0014133 14.510 2697 2575 0.0013127 14.520 2635 2602 0.0013418 14.530 2679 2557 0.0013223 14.540 2565 2442 0.0013717 14.550 2467 2274 0.0014348 14.560 2238 2075 0.0015747 14.570 2018 1869 0.0017507 14.580 1810 1670 0.0019579 14.590 1629 1490 0.0021633 14.600 1387 1332 0.0025508 14.610 1220 1196 0.0028905 14.620 1086 1080 0.0032653 14.630 965 982 0.0036731 14.640 843 899 0.0041623 14.650 763 828 0.0046277 14.660 696 768 0.0051020 14.670 621 717 0.0056532 14.680 569 673 0.0062000 14.690 561 634 0.0062988 14.700 527 601 0.0067186 14.710 489 573 0.0071818 14.720 470 547 0.0075614 14.730 445 525 0.0079719 14.740 450 506 0.0078315 14.750 410 488 0.0085734 14.760 445 473 0.0079719 14.770 399 460 0.0089000 14.780 397 448 0.0089000 14.790 382 437 0.0092456 14.800 396 428 0.0089000 14.810 374 420 0.0094260 14.820 382 412 0.0092456 14.830 371 406 0.0094260 14.840 372 401 0.0094260 14.850 365 397 0.0096117 14.860 381 394 0.0092456 14.870 388 392 0.0090703 14.880 369 391 0.0096117 14.890 382 391 0.0092456 14.900 368 393 0.0096117 14.910 385 396 0.0092456 14.920 407 401 0.0087344 14.930 421 408 0.0084168 14.940 438 418 0.0081162 14.950 457 432 0.0076947 14.960 463 451 0.0075614 14.970 515 476 0.0068301 14.980 588 511 0.0060093 14.990 639 559 0.0054870 15.000 706 624 0.0050299 15.010 796 709 0.0044444 15.020 924 817 0.0038104 15.030 1052 950 0.0033412 15.040 1195 1110 0.0029537 15.050 1367 1298 0.0025767 15.060 1543 1505 0.0022893 15.070 1663 1709 0.0021236 15.080 1690 1851 0.0020850 15.090 1582 1846 0.0022250 15.100 1510 1656 0.0023338 15.110 1342 1366 0.0026298 15.120 1193 1092 0.0029537 15.130 980 880 0.0035856 15.140 846 729 0.0041623 15.150 676 623 0.0052510 15.160 582 547 0.0061035 15.170 505 491 0.0069444 15.180 469 450 0.0075614 15.190 409 418 0.0085734 15.200 403 393 0.0087344 15.210 374 373 0.0094260 15.220 352 357 0.0100000 15.230 362 344 0.0098030 15.240 317 333 0.0110803 15.250 313 324 0.0113173 15.260 312 316 0.0113173 15.270 291 309 0.0120758 15.280 320 304 0.0110803 15.290 304 299 0.0115620 15.300 304 294 0.0115620 15.310 288 290 0.0123457 15.320 291 287 0.0120758 15.330 275 284 0.0129132 15.340 265 281 0.0132118 15.350 284 279 0.0123457 15.360 274 277 0.0129132 15.370 268 275 0.0132118 15.380 282 274 0.0126247 15.390 264 273 0.0132118 15.400 262 272 0.0135208 15.410 270 271 0.0132118 15.420 267 270 0.0132118 15.430 278 270 0.0126247 15.440 280 269 0.0126247 15.450 277 268 0.0126247 15.460 268 269 0.0132118 15.470 268 271 0.0132118 15.480 257 273 0.0138408 15.490 260 275 0.0135208 15.500 277 278 0.0126247 15.510 293 282 0.0120758 15.520 300 287 0.0118147 15.530 302 293 0.0118147 15.540 290 301 0.0120758 15.550 317 310 0.0110803 15.560 335 320 0.0106281 15.570 346 333 0.0102030 15.580 346 346 0.0102030 15.590 366 361 0.0096117 15.600 392 376 0.0090703 15.610 401 390 0.0087344 15.620 409 401 0.0085734 15.630 421 408 0.0084168 15.640 431 408 0.0082645 15.650 430 402 0.0082645 15.660 391 390 0.0090703 15.670 386 374 0.0090703 15.680 381 356 0.0092456 15.690 374 338 0.0094260 15.700 354 322 0.0100000 15.710 308 308 0.0115620 15.720 330 296 0.0106281 15.730 283 286 0.0123457 15.740 295 278 0.0120758 15.750 256 271 0.0138408 15.760 265 265 0.0132118 15.770 259 260 0.0135208 15.780 245 255 0.0145159 15.790 241 251 0.0145159 15.800 232 248 0.0152416 15.810 248 245 0.0141723 15.820 240 243 0.0145159 15.830 245 240 0.0145159 15.840 238 238 0.0148721 15.850 239 236 0.0148721 15.860 239 234 0.0145159 15.870 234 232 0.0148721 15.880 237 230 0.0148721 15.890 226 227 0.0156250 15.900 226 226 0.0156250 15.910 229 225 0.0152416 15.920 233 224 0.0152416 15.930 217 223 0.0160231 15.940 224 222 0.0156250 15.950 216 222 0.0164366 15.960 224 221 0.0156250 15.970 220 220 0.0160231 15.980 228 220 0.0152416 15.990 224 219 0.0156250 16.000 226 219 0.0156250 16.010 212 218 0.0164366 16.020 223 218 0.0156250 16.030 214 217 0.0164366 16.040 215 217 0.0164366 16.050 218 216 0.0160231 16.060 205 216 0.0168663 16.070 230 215 0.0152416 16.080 231 215 0.0152416 16.090 213 215 0.0164366 16.100 214 214 0.0164366 16.110 225 214 0.0156250 16.120 210 213 0.0164366 16.130 205 212 0.0168663 16.140 215 212 0.0160231 16.150 223 212 0.0156250 16.160 207 211 0.0168663 16.170 202 211 0.0173130 16.180 209 211 0.0168663 16.190 219 211 0.0160231 16.200 206 210 0.0168663 16.210 215 210 0.0160231 16.220 201 210 0.0173130 16.230 213 210 0.0164366 16.240 208 210 0.0168663 16.250 217 209 0.0160231 16.260 206 209 0.0168663 16.270 214 209 0.0164366 16.280 201 209 0.0173130 16.290 209 209 0.0164366 16.300 214 209 0.0164366 16.310 203 208 0.0173130 16.320 198 208 0.0173130 16.330 201 208 0.0173130 16.340 200 208 0.0173130 16.350 209 208 0.0168663 16.360 204 208 0.0168663 16.370 219 208 0.0160231 16.380 203 208 0.0173130 16.390 218 207 0.0160231 16.400 202 207 0.0173130 16.410 197 207 0.0177778 16.420 207 207 0.0168663 16.430 187 207 0.0187652 16.440 225 207 0.0156250 16.450 209 207 0.0164366 16.460 192 207 0.0182615 16.470 203 207 0.0173130 16.480 211 207 0.0164366 16.490 210 207 0.0164366 16.500 201 206 0.0173130 16.510 192 206 0.0182615 16.520 203 206 0.0173130 16.530 215 206 0.0160231 16.540 200 206 0.0173130 16.550 201 206 0.0173130 16.560 198 206 0.0173130 16.570 199 206 0.0173130 16.580 209 206 0.0168663 16.590 211 206 0.0164366 16.600 203 206 0.0168663 16.610 206 206 0.0168663 16.620 203 206 0.0173130 16.630 206 206 0.0168663 16.640 186 206 0.0187652 16.650 202 206 0.0173130 16.660 195 206 0.0177778 16.670 205 206 0.0168663 16.680 216 206 0.0160231 16.690 204 206 0.0168663 16.700 200 206 0.0173130 16.710 197 205 0.0177778 16.720 193 204 0.0182615 16.730 201 204 0.0173130 16.740 198 205 0.0173130 16.750 200 205 0.0173130 16.760 204 205 0.0168663 16.770 193 205 0.0177778 16.780 197 205 0.0177778 16.790 177 205 0.0198373 16.800 206 205 0.0168663 16.810 201 206 0.0173130 16.820 202 206 0.0173130 16.830 189 206 0.0182615 16.840 206 206 0.0168663 16.850 195 206 0.0177778 16.860 189 207 0.0182615 16.870 205 207 0.0168663 16.880 212 207 0.0164366 16.890 191 208 0.0182615 16.900 200 208 0.0173130 16.910 201 208 0.0173130 16.920 191 209 0.0182615 16.930 193 209 0.0182615 16.940 204 209 0.0168663 16.950 206 210 0.0168663 16.960 197 211 0.0177778 16.970 214 211 0.0164366 16.980 207 212 0.0168663 16.990 208 212 0.0168663 17.000 196 213 0.0177778 17.010 198 214 0.0177778 17.020 204 215 0.0168663 17.030 190 216 0.0182615 17.040 204 217 0.0168663 17.050 216 218 0.0160231 17.060 202 219 0.0173130 17.070 215 221 0.0160231 17.080 206 222 0.0168663 17.090 203 224 0.0173130 17.100 220 226 0.0160231 17.110 216 228 0.0160231 17.120 214 230 0.0164366 17.130 227 233 0.0152416 17.140 224 236 0.0156250 17.150 235 240 0.0148721 17.160 239 244 0.0145159 17.170 232 250 0.0148721 17.180 258 256 0.0135208 17.190 235 263 0.0148721 17.200 253 273 0.0138408 17.210 275 284 0.0126247 17.220 302 297 0.0115620 17.230 308 313 0.0113173 17.240 328 330 0.0106281 17.250 336 348 0.0104123 17.260 387 365 0.0090703 17.270 374 379 0.0092456 17.280 382 386 0.0090703 17.290 386 385 0.0090703 17.300 379 379 0.0092456 17.310 386 372 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0.0160231 42.890 168 161 0.0156250 42.900 151 160 0.0173130 42.910 167 159 0.0156250 42.920 167 158 0.0156250 42.930 159 158 0.0164366 42.940 180 157 0.0145159 42.950 157 157 0.0168663 42.960 153 157 0.0173130 42.970 163 157 0.0160231 42.980 168 157 0.0156250 42.990 145 158 0.0138408 43.000 156 158 0.0120758 43.010 176 159 0.0222767 43.020 161 160 0.0244141 43.030 170 161 0.0229568 43.040 145 162 0.0268745 43.050 167 163 0.0229568 43.060 171 164 0.0229568 43.070 185 165 0.0210040 43.080 175 166 0.0222767 43.090 191 167 0.0204082 43.100 171 169 0.0229568 43.110 175 170 0.0222767 43.120 182 172 0.0216263 43.130 194 174 0.0204082 43.140 201 176 0.0198373 43.150 189 179 0.0210040 43.160 190 182 0.0210040 43.170 196 186 0.0198373 43.180 196 191 0.0198373 43.190 198 196 0.0198373 43.200 201 201 0.0198373 43.210 200 206 0.0198373 43.220 206 209 0.0192901 43.230 216 211 0.0182615 43.240 212 211 0.0187652 43.250 205 209 0.0192901 43.260 212 207 0.0187652 43.270 209 204 0.0187652 43.280 209 202 0.0187652 43.290 204 201 0.0192901 43.300 215 202 0.0182615 43.310 209 203 0.0187652 43.320 211 207 0.0187652 43.330 215 212 0.0182615 43.340 220 218 0.0177778 43.350 231 225 0.0173130 43.360 227 233 0.0173130 43.370 229 240 0.0173130 43.380 246 245 0.0160231 43.390 235 246 0.0168663 43.400 236 242 0.0168663 43.410 229 236 0.0173130 43.420 226 227 0.0177778 43.430 218 218 0.0182615 43.440 210 209 0.0187652 43.450 221 200 0.0182615 43.460 194 193 0.0204082 43.470 193 187 0.0204082 43.480 191 182 0.0210040 43.490 179 177 0.0222767 43.500 191 174 0.0210040 43.510 164 171 0.0244141 43.520 173 168 0.0229568 43.530 167 166 0.0236686 43.540 153 165 0.0260146 43.550 157 163 0.0251953 43.560 159 161 0.0251953 43.570 162 160 0.0244141 43.580 151 159 0.0268745 43.590 134 158 0.0297265 43.600 152 157 0.0260146 43.610 168 156 0.0236686 43.620 160 155 0.0251953 43.630 150 154 0.0268745 43.640 143 153 0.0277778 43.650 155 153 0.0260146 43.660 154 152 0.0260146 43.670 147 152 0.0277778 43.680 149 151 0.0268745 43.690 151 151 0.0268745 43.700 152 152 0.0268745 43.710 167 152 0.0244141 43.720 153 153 0.0260146 43.730 150 153 0.0268745 43.740 154 155 0.0260146 43.750 155 156 0.0260146 43.760 157 158 0.0260146 43.770 162 160 0.0251953 43.780 149 162 0.0268745 43.790 164 165 0.0251953 43.800 171 167 0.0236686 43.810 161 169 0.0251953 43.820 156 170 0.0260146 43.830 160 171 0.0251953 43.840 158 171 0.0260146 43.850 157 170 0.0260146 43.860 170 170 0.0236686 43.870 167 169 0.0244141 43.880 155 168 0.0260146 43.890 169 168 0.0244141 43.900 160 168 0.0251953 43.910 166 168 0.0244141 43.920 177 168 0.0229568 43.930 171 168 0.0236686 43.940 166 168 0.0244141 43.950 164 168 0.0244141 43.960 165 169 0.0244141 43.970 166 169 0.0244141 43.980 173 169 0.0236686 43.990 163 169 0.0251953 44.000 169 170 0.0244141 44.010 166 170 0.0244141 44.020 173 170 0.0236686 44.030 169 171 0.0236686 44.040 176 172 0.0229568 44.050 180 173 0.0229568 44.060 174 175 0.0236686 44.070 180 177 0.0229568 44.080 174 180 0.0236686 44.090 180 183 0.0222767 44.100 173 185 0.0236686 44.110 186 187 0.0216263 44.120 176 188 0.0229568 44.130 181 189 0.0222767 44.140 181 189 0.0222767 44.150 184 188 0.0222767 44.160 179 189 0.0229568 44.170 193 189 0.0210040 44.180 198 190 0.0204082 44.190 181 191 0.0222767 44.200 190 193 0.0216263 44.210 180 195 0.0222767 44.220 182 196 0.0222767 44.230 187 198 0.0216263 44.240 192 199 0.0210040 44.250 191 199 0.0210040 44.260 196 199 0.0204082 44.270 172 197 0.0236686 44.280 177 195 0.0229568 44.290 187 193 0.0216263 44.300 196 190 0.0204082 44.310 190 187 0.0210040 44.320 185 184 0.0216263 44.330 174 181 0.0229568 44.340 185 178 0.0216263 44.350 181 175 0.0222767 44.360 174 173 0.0229568 44.370 165 170 0.0244141 44.380 161 168 0.0251953 44.390 170 166 0.0236686 44.400 172 165 0.0236686 44.410 158 163 0.0251953 44.420 167 162 0.0244141 44.430 172 161 0.0236686 44.440 160 159 0.0251953 44.450 167 158 0.0244141 44.460 150 157 0.0268745 44.470 166 156 0.0244141 44.480 163 155 0.0244141 44.490 147 154 0.0277778 44.500 161 153 0.0251953 44.510 149 152 0.0268745 44.520 151 151 0.0268745 44.530 145 150 0.0277778 44.540 142 148 0.0287274 44.550 151 147 0.0268745 44.560 141 146 0.0287274 44.570 152 145 0.0268745 44.580 134 144 0.0297265 44.590 145 143 0.0277778 44.600 142 142 0.0287274 44.610 133 141 0.0307787 44.620 141 140 0.0287274 44.630 141 139 0.0287274 44.640 148 139 0.0268745 44.650 143 138 0.0277778 44.660 132 137 0.0307787 44.670 138 137 0.0297265 44.680 141 136 0.0287274 44.690 132 136 0.0307787 44.700 149 135 0.0268745 44.710 143 135 0.0287274 44.720 136 135 0.0297265 44.730 147 135 0.0277778 44.740 141 135 0.0287274 44.750 145 135 0.0277778 44.760 144 135 0.0277778 44.770 139 135 0.0287274 44.780 147 136 0.0277778 44.790 138 136 0.0297265 44.800 147 137 0.0277778 44.810 145 138 0.0277778 44.820 151 138 0.0268745 44.830 136 139 0.0297265 44.840 146 140 0.0277778 44.850 148 140 0.0277778 44.860 143 141 0.0287274 44.870 153 141 0.0268745 44.880 153 142 0.0268745 44.890 147 142 0.0277778 44.900 152 143 0.0268745 44.910 145 143 0.0277778 44.920 142 144 0.0287274 44.930 149 146 0.0268745 44.940 153 147 0.0268745 44.950 148 149 0.0277778 44.960 152 151 0.0268745 44.970 152 153 0.0268745 44.980 147 154 0.0277778 44.990 159 154 0.0251953 45.000 154 154 0.0260146 #===END data_As66 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P0.34 As0.66 O4)3 O H' _chemical_formula_sum 'As1.98 Ca5 H O13 P1.02' _chemical_formula_weight 588.96 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.6311(3) _cell_length_b 9.6311(3) _cell_length_c 6.9556(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 558.74(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69850 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.04816 _pd_proc_ls_prof_wR_factor 0.06334 _pd_proc_ls_prof_wR_expected 0.02883 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 2.197 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.0 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69850 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As66_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.31574(81) 0.48814(71) 0.25 1 0.938(28) O2 O 6 0.59280(72) 0.46464(76) 0.25 1 0.938(28) O3 O 12 0.33820(52) 0.25264(55) 0.05984(60) 1 0.938(28) As1 As 6 0.39679(19) 0.36873(18) 0.25 0.6573(44) 0.938(28) P1 P 6 0.39679(19) 0.36873(18) 0.25 0.3427(44) 0.938(28) Ca1 Ca 4 0.3333333 0.6666667 0.00361(55) 1 0.938(28) Ca2 Ca 6 0.24578(26) 0.99645(34) 0.25 1 0.938(28) O4 O 4 0 0 0.6955(18) 0.5 0.938(28) # Note: if the displacement parameters were refined anisotropically # the U matrices should be given as for single-crystal studies. loop_ _atom_site_aniso_label _atom_site_aniso_U_11 _atom_site_aniso_U_22 _atom_site_aniso_U_33 _atom_site_aniso_U_12 _atom_site_aniso_U_13 _atom_site_aniso_U_23 _atom_site_aniso_type_symbol ? ? ? ? ? ? ? ? ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As66_pattern _pd_block_id HAP_As66_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 567 546 0.0042166 2.010 553 543 0.0043283 2.020 534 539 0.0045043 2.030 543 536 0.0044444 2.040 550 532 0.0043858 2.050 534 529 0.0045043 2.060 535 525 0.0045043 2.070 499 522 0.0048225 2.080 538 518 0.0044444 2.090 514 515 0.0046913 2.100 517 512 0.0046277 2.110 506 508 0.0047562 2.120 500 505 0.0048225 2.130 498 502 0.0048225 2.140 496 499 0.0048225 2.150 518 496 0.0046277 2.160 507 493 0.0047562 2.170 504 490 0.0047562 2.180 490 487 0.0048902 2.190 498 484 0.0048225 2.200 471 481 0.0051020 2.210 462 478 0.0051757 2.220 492 475 0.0048902 2.230 470 472 0.0051020 2.240 455 469 0.0052510 2.250 446 466 0.0054066 2.260 442 463 0.0054066 2.270 448 461 0.0053279 2.280 453 458 0.0052510 2.290 439 455 0.0054870 2.300 458 453 0.0052510 2.310 424 450 0.0056532 2.320 434 447 0.0054870 2.330 419 445 0.0057392 2.340 470 442 0.0051020 2.350 420 440 0.0057392 2.360 417 437 0.0057392 2.370 430 435 0.0055692 2.380 427 432 0.0056532 2.390 436 430 0.0054870 2.400 401 428 0.0060093 2.410 455 425 0.0052510 2.420 437 423 0.0054870 2.430 412 420 0.0058272 2.440 406 418 0.0059172 2.450 420 416 0.0056532 2.460 392 414 0.0061035 2.470 381 411 0.0062988 2.480 422 409 0.0056532 2.490 390 407 0.0061035 2.500 401 405 0.0060093 2.510 404 403 0.0059172 2.520 394 401 0.0061035 2.530 372 398 0.0064000 2.540 408 396 0.0058272 2.550 388 394 0.0062000 2.560 389 392 0.0062000 2.570 378 390 0.0062988 2.580 369 388 0.0065036 2.590 381 386 0.0062988 2.600 369 384 0.0065036 2.610 373 382 0.0064000 2.620 366 380 0.0065036 2.630 373 378 0.0064000 2.640 367 377 0.0065036 2.650 369 375 0.0065036 2.660 384 373 0.0062000 2.670 360 371 0.0066098 2.680 360 369 0.0066098 2.690 383 367 0.0062988 2.700 365 366 0.0066098 2.710 350 364 0.0068301 2.720 363 362 0.0066098 2.730 353 360 0.0068301 2.740 365 359 0.0066098 2.750 360 357 0.0066098 2.760 360 355 0.0066098 2.770 350 354 0.0068301 2.780 361 352 0.0066098 2.790 375 350 0.0064000 2.800 352 349 0.0068301 2.810 346 347 0.0069444 2.820 355 345 0.0067186 2.830 343 344 0.0069444 2.840 323 342 0.0074316 2.850 338 341 0.0070616 2.860 326 339 0.0073051 2.870 328 338 0.0073051 2.880 328 336 0.0073051 2.890 337 335 0.0070616 2.900 321 333 0.0074316 2.910 314 332 0.0076947 2.920 305 330 0.0078315 2.930 340 329 0.0070616 2.940 324 327 0.0074316 2.950 321 326 0.0074316 2.960 301 325 0.0079719 2.970 317 323 0.0075614 2.980 300 322 0.0079719 2.990 311 320 0.0076947 3.000 323 319 0.0074316 3.010 319 318 0.0075614 3.020 306 316 0.0078315 3.030 305 315 0.0078315 3.040 329 314 0.0073051 3.050 309 312 0.0076947 3.060 316 311 0.0075614 3.070 314 310 0.0076947 3.080 320 309 0.0075614 3.090 306 307 0.0078315 3.100 317 306 0.0075614 3.110 299 305 0.0079719 3.120 285 304 0.0084168 3.130 309 302 0.0076947 3.140 295 301 0.0081162 3.150 310 300 0.0076947 3.160 310 299 0.0076947 3.170 291 298 0.0082645 3.180 302 297 0.0079719 3.190 291 295 0.0082645 3.200 311 294 0.0076947 3.210 294 293 0.0081162 3.220 287 292 0.0084168 3.230 297 291 0.0081162 3.240 302 290 0.0079719 3.250 283 289 0.0084168 3.260 271 288 0.0089000 3.270 279 287 0.0085734 3.280 298 285 0.0081162 3.290 277 284 0.0087344 3.300 284 283 0.0084168 3.310 279 282 0.0085734 3.320 289 281 0.0082645 3.330 288 280 0.0082645 3.340 278 279 0.0085734 3.350 302 278 0.0079719 3.360 274 277 0.0087344 3.370 278 276 0.0085734 3.380 267 275 0.0089000 3.390 273 274 0.0087344 3.400 284 273 0.0084168 3.410 289 273 0.0082645 3.420 253 272 0.0094260 3.430 269 271 0.0089000 3.440 278 270 0.0085734 3.450 281 269 0.0085734 3.460 281 268 0.0085734 3.470 276 267 0.0087344 3.480 271 266 0.0089000 3.490 271 266 0.0089000 3.500 282 265 0.0085734 3.510 243 264 0.0098030 3.520 259 264 0.0092456 3.530 264 263 0.0090703 3.540 272 262 0.0087344 3.550 266 261 0.0090703 3.560 277 260 0.0087344 3.570 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269 0.0138408 13.390 298 271 0.0129132 13.400 288 272 0.0132118 13.410 300 274 0.0126247 13.420 292 276 0.0129132 13.430 302 278 0.0126247 13.440 294 280 0.0129132 13.450 297 282 0.0129132 13.460 297 284 0.0129132 13.470 284 287 0.0135208 13.480 286 289 0.0132118 13.490 309 292 0.0123457 13.500 298 295 0.0129132 13.510 310 299 0.0123457 13.520 305 302 0.0123457 13.530 303 306 0.0126247 13.540 321 310 0.0118147 13.550 323 315 0.0118147 13.560 318 319 0.0118147 13.570 324 324 0.0118147 13.580 321 330 0.0118147 13.590 343 336 0.0110803 13.600 343 342 0.0110803 13.610 324 349 0.0118147 13.620 365 356 0.0104123 13.630 355 365 0.0106281 13.640 342 374 0.0110803 13.650 388 383 0.0098030 13.660 372 394 0.0102030 13.670 391 406 0.0096117 13.680 382 419 0.0100000 13.690 399 434 0.0094260 13.700 418 450 0.0090703 13.710 460 468 0.0082645 13.720 452 488 0.0084168 13.730 476 511 0.0079719 13.740 472 537 0.0079719 13.750 514 566 0.0073051 13.760 545 599 0.0069444 13.770 577 637 0.0065036 13.780 613 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39.290 227 214 0.0145159 39.300 208 213 0.0160231 39.310 223 212 0.0148721 39.320 208 211 0.0160231 39.330 221 211 0.0148721 39.340 204 210 0.0160231 39.350 202 210 0.0164366 39.360 194 209 0.0168663 39.370 194 207 0.0168663 39.380 196 205 0.0168663 39.390 208 202 0.0160231 39.400 197 199 0.0168663 39.410 181 195 0.0182615 39.420 191 191 0.0173130 39.430 186 187 0.0177778 39.440 198 184 0.0164366 39.450 183 181 0.0177778 39.460 183 179 0.0177778 39.470 177 176 0.0187652 39.480 175 175 0.0187652 39.490 182 173 0.0182615 39.500 165 172 0.0198373 39.510 165 171 0.0198373 39.520 179 170 0.0182615 39.530 179 169 0.0182615 39.540 172 169 0.0192901 39.550 162 169 0.0204082 39.560 169 169 0.0192901 39.570 167 170 0.0198373 39.580 167 170 0.0198373 39.590 166 171 0.0198373 39.600 181 172 0.0182615 39.610 190 174 0.0173130 39.620 167 176 0.0198373 39.630 183 178 0.0177778 39.640 172 180 0.0187652 39.650 201 183 0.0164366 39.660 192 187 0.0168663 39.670 184 191 0.0177778 39.680 196 196 0.0168663 39.690 212 201 0.0152416 39.700 200 207 0.0164366 39.710 206 213 0.0160231 39.720 229 219 0.0141723 39.730 206 225 0.0160231 39.740 209 230 0.0156250 39.750 232 234 0.0141723 39.760 202 236 0.0160231 39.770 232 237 0.0141723 39.780 212 235 0.0152416 39.790 206 232 0.0160231 39.800 217 228 0.0148721 39.810 204 223 0.0160231 39.820 218 217 0.0148721 39.830 208 212 0.0156250 39.840 197 207 0.0164366 39.850 193 203 0.0168663 39.860 195 199 0.0168663 39.870 196 196 0.0164366 39.880 195 193 0.0168663 39.890 201 191 0.0164366 39.900 208 190 0.0156250 39.910 201 190 0.0160231 39.920 204 190 0.0160231 39.930 203 191 0.0160231 39.940 212 192 0.0152416 39.950 209 195 0.0156250 39.960 205 198 0.0160231 39.970 214 202 0.0152416 39.980 221 208 0.0148721 39.990 227 215 0.0145159 40.000 237 224 0.0138408 40.010 237 236 0.0138408 40.020 241 249 0.0135208 40.030 230 264 0.0141723 40.040 234 279 0.0138408 40.050 230 290 0.0141723 40.060 230 295 0.0141723 40.070 238 291 0.0138408 40.080 244 280 0.0132118 40.090 225 265 0.0145159 40.100 224 249 0.0145159 40.110 213 234 0.0152416 40.120 200 222 0.0164366 40.130 200 211 0.0164366 40.140 201 203 0.0160231 40.150 212 196 0.0152416 40.160 208 190 0.0156250 40.170 191 186 0.0168663 40.180 178 182 0.0182615 40.190 189 179 0.0173130 40.200 180 176 0.0182615 40.210 189 174 0.0173130 40.220 179 173 0.0182615 40.230 166 172 0.0198373 40.240 175 171 0.0187652 40.250 180 171 0.0182615 40.260 179 171 0.0182615 40.270 174 171 0.0187652 40.280 175 172 0.0187652 40.290 189 172 0.0173130 40.300 168 173 0.0192901 40.310 168 173 0.0192901 40.320 179 173 0.0182615 40.330 168 173 0.0192901 40.340 173 172 0.0187652 40.350 190 172 0.0168663 40.360 164 171 0.0198373 40.370 183 170 0.0177778 40.380 171 170 0.0187652 40.390 165 170 0.0192901 40.400 158 170 0.0204082 40.410 171 171 0.0187652 40.420 173 172 0.0187652 40.430 175 173 0.0182615 40.440 176 174 0.0182615 40.450 194 176 0.0164366 40.460 194 177 0.0164366 40.470 175 179 0.0182615 40.480 194 182 0.0164366 40.490 182 184 0.0177778 40.500 184 186 0.0173130 40.510 190 189 0.0168663 40.520 199 192 0.0160231 40.530 200 194 0.0160231 40.540 200 197 0.0160231 40.550 200 200 0.0160231 40.560 192 203 0.0168663 40.570 201 205 0.0160231 40.580 217 207 0.0148721 40.590 210 209 0.0152416 40.600 215 211 0.0148721 40.610 208 212 0.0156250 40.620 207 212 0.0156250 40.630 214 212 0.0148721 40.640 219 212 0.0145159 40.650 208 211 0.0152416 40.660 205 210 0.0156250 40.670 204 208 0.0156250 40.680 209 206 0.0152416 40.690 212 204 0.0152416 40.700 191 202 0.0168663 40.710 198 201 0.0164366 40.720 200 199 0.0160231 40.730 211 198 0.0152416 40.740 200 197 0.0160231 40.750 207 197 0.0156250 40.760 196 196 0.0164366 40.770 202 196 0.0160231 40.780 202 197 0.0160231 40.790 194 197 0.0164366 40.800 207 199 0.0156250 40.810 218 200 0.0148721 40.820 220 202 0.0145159 40.830 210 204 0.0152416 40.840 229 206 0.0141723 40.850 225 209 0.0141723 40.860 215 211 0.0148721 40.870 222 214 0.0145159 40.880 225 216 0.0145159 40.890 235 219 0.0138408 40.900 237 221 0.0135208 40.910 235 222 0.0138408 40.920 221 223 0.0145159 40.930 214 223 0.0152416 40.940 215 223 0.0148721 40.950 212 222 0.0152416 40.960 222 220 0.0145159 40.970 217 218 0.0148721 40.980 208 216 0.0156250 40.990 208 213 0.0156250 41.000 200 210 0.0160231 41.010 211 206 0.0152416 41.020 195 203 0.0164366 41.030 189 200 0.0168663 41.040 189 197 0.0168663 41.050 205 195 0.0156250 41.060 185 193 0.0173130 41.070 198 191 0.0164366 41.080 203 189 0.0160231 41.090 187 188 0.0173130 41.100 196 187 0.0164366 41.110 200 187 0.0160231 41.120 183 187 0.0173130 41.130 194 188 0.0164366 41.140 206 189 0.0156250 41.150 201 191 0.0160231 41.160 203 194 0.0156250 41.170 204 198 0.0156250 41.180 198 202 0.0160231 41.190 203 207 0.0160231 41.200 236 213 0.0135208 41.210 236 218 0.0135208 41.220 230 224 0.0138408 41.230 218 228 0.0148721 41.240 223 231 0.0145159 41.250 240 232 0.0135208 41.260 219 232 0.0145159 41.270 212 230 0.0152416 41.280 204 228 0.0156250 41.290 204 225 0.0156250 41.300 218 222 0.0148721 41.310 212 218 0.0152416 41.320 212 215 0.0152416 41.330 189 210 0.0168663 41.340 195 206 0.0164366 41.350 201 202 0.0160231 41.360 168 197 0.0187652 41.370 175 193 0.0182615 41.380 188 189 0.0168663 41.390 178 185 0.0177778 41.400 180 182 0.0177778 41.410 177 179 0.0182615 41.420 183 177 0.0173130 41.430 175 175 0.0182615 41.440 183 174 0.0173130 41.450 168 173 0.0187652 41.460 190 172 0.0168663 41.470 176 171 0.0182615 41.480 170 171 0.0187652 41.490 165 172 0.0192901 41.500 165 172 0.0192901 41.510 200 174 0.0156250 41.520 180 175 0.0126247 41.530 196 177 0.0110803 41.540 180 179 0.0244141 41.550 173 182 0.0251953 41.560 189 185 0.0229568 41.570 195 187 0.0222767 41.580 198 190 0.0222767 41.590 185 192 0.0236686 41.600 186 194 0.0236686 41.610 198 194 0.0222767 41.620 192 194 0.0229568 41.630 176 193 0.0251953 41.640 181 191 0.0244141 41.650 196 189 0.0222767 41.660 186 186 0.0236686 41.670 183 184 0.0244141 41.680 177 181 0.0251953 41.690 177 179 0.0251953 41.700 184 177 0.0244141 41.710 171 175 0.0260146 41.720 188 174 0.0236686 41.730 191 173 0.0236686 41.740 194 173 0.0229568 41.750 188 174 0.0236686 41.760 183 175 0.0244141 41.770 188 177 0.0236686 41.780 191 179 0.0236686 41.790 199 183 0.0229568 41.800 194 187 0.0229568 41.810 208 191 0.0216263 41.820 203 196 0.0222767 41.830 199 202 0.0229568 41.840 203 208 0.0222767 41.850 198 213 0.0229568 41.860 223 219 0.0204082 41.870 198 223 0.0229568 41.880 201 227 0.0222767 41.890 201 228 0.0222767 41.900 203 227 0.0222767 41.910 206 223 0.0222767 41.920 194 217 0.0236686 41.930 199 210 0.0229568 41.940 199 202 0.0229568 41.950 190 194 0.0236686 41.960 182 188 0.0251953 41.970 179 182 0.0251953 41.980 182 177 0.0251953 41.990 182 173 0.0251953 42.000 176 170 0.0260146 42.010 175 168 0.0260146 42.020 166 166 0.0277778 42.030 173 165 0.0260146 42.040 183 164 0.0244141 42.050 165 164 0.0277778 42.060 176 163 0.0260146 42.070 164 162 0.0277778 42.080 179 161 0.0251953 42.090 176 160 0.0260146 42.100 160 160 0.0287274 42.110 167 159 0.0268745 42.120 153 159 0.0297265 42.130 170 159 0.0268745 42.140 172 160 0.0268745 42.150 167 160 0.0268745 42.160 163 160 0.0277778 42.170 169 161 0.0268745 42.180 166 161 0.0277778 42.190 164 161 0.0277778 42.200 168 161 0.0268745 42.210 169 161 0.0268745 42.220 152 161 0.0297265 42.230 158 161 0.0287274 42.240 162 160 0.0277778 42.250 165 160 0.0277778 42.260 167 159 0.0268745 42.270 164 159 0.0277778 42.280 166 159 0.0277778 42.290 152 158 0.0297265 42.300 156 158 0.0287274 42.310 160 158 0.0287274 42.320 154 158 0.0297265 42.330 163 159 0.0277778 42.340 155 159 0.0297265 42.350 157 160 0.0287274 42.360 167 160 0.0268745 42.370 170 161 0.0268745 42.380 179 162 0.0251953 42.390 166 164 0.0277778 42.400 171 165 0.0268745 42.410 161 167 0.0277778 42.420 170 170 0.0268745 42.430 169 172 0.0268745 42.440 186 175 0.0244141 42.450 163 178 0.0277778 42.460 180 182 0.0251953 42.470 180 185 0.0251953 42.480 168 188 0.0268745 42.490 178 190 0.0251953 42.500 181 191 0.0251953 42.510 176 190 0.0260146 42.520 164 189 0.0277778 42.530 172 186 0.0260146 42.540 184 183 0.0244141 42.550 185 180 0.0244141 42.560 176 177 0.0260146 42.570 170 174 0.0268745 42.580 176 171 0.0260146 42.590 174 168 0.0260146 42.600 170 166 0.0268745 42.610 175 164 0.0260146 42.620 168 163 0.0268745 42.630 168 161 0.0268745 42.640 168 160 0.0268745 42.650 182 159 0.0251953 42.660 160 159 0.0287274 42.670 154 158 0.0297265 42.680 171 158 0.0268745 42.690 169 158 0.0268745 42.700 166 158 0.0268745 42.710 173 159 0.0260146 42.720 166 159 0.0277778 42.730 160 160 0.0287274 42.740 172 160 0.0260146 42.750 168 161 0.0268745 42.760 162 161 0.0277778 42.770 170 162 0.0268745 42.780 165 162 0.0277778 42.790 163 163 0.0277778 42.800 169 163 0.0268745 42.810 175 163 0.0260146 42.820 173 163 0.0260146 42.830 174 163 0.0260146 42.840 168 163 0.0268745 42.850 164 163 0.0277778 42.860 176 163 0.0260146 42.870 167 163 0.0268745 42.880 174 164 0.0260146 42.890 177 164 0.0260146 42.900 173 165 0.0260146 42.910 169 166 0.0268745 42.920 177 167 0.0260146 42.930 183 169 0.0251953 42.940 183 172 0.0251953 42.950 199 175 0.0229568 42.960 189 178 0.0244141 42.970 195 182 0.0236686 42.980 194 187 0.0236686 42.990 202 193 0.0222767 43.000 202 199 0.0229568 43.010 208 204 0.0222767 43.020 207 209 0.0222767 43.030 193 212 0.0236686 43.040 208 213 0.0222767 43.050 194 211 0.0236686 43.060 199 208 0.0229568 43.070 195 204 0.0236686 43.080 204 201 0.0222767 43.090 192 197 0.0236686 43.100 203 195 0.0222767 43.110 192 193 0.0236686 43.120 202 192 0.0229568 43.130 204 193 0.0222767 43.140 210 195 0.0216263 43.150 202 198 0.0229568 43.160 203 202 0.0229568 43.170 214 207 0.0216263 43.180 213 213 0.0216263 43.190 221 221 0.0210040 43.200 219 229 0.0210040 43.210 236 238 0.0192901 43.220 231 244 0.0198373 43.230 239 249 0.0192901 43.240 236 250 0.0198373 43.250 224 246 0.0204082 43.260 230 240 0.0198373 43.270 225 231 0.0204082 43.280 219 221 0.0210040 43.290 212 212 0.0216263 43.300 200 203 0.0229568 43.310 184 195 0.0251953 43.320 188 188 0.0244141 43.330 180 182 0.0260146 43.340 176 177 0.0260146 43.350 165 173 0.0277778 43.360 170 169 0.0268745 43.370 167 166 0.0277778 43.380 162 164 0.0287274 43.390 157 162 0.0297265 43.400 158 160 0.0297265 43.410 154 159 0.0297265 43.420 160 157 0.0287274 43.430 159 157 0.0287274 43.440 151 156 0.0307787 43.450 142 155 0.0330579 43.460 153 155 0.0307787 43.470 157 155 0.0297265 43.480 145 155 0.0318878 43.490 152 156 0.0307787 43.500 146 156 0.0318878 43.510 156 157 0.0297265 43.520 157 158 0.0297265 43.530 150 159 0.0307787 43.540 157 161 0.0297265 43.550 161 162 0.0287274 43.560 161 164 0.0287274 43.570 156 166 0.0297265 43.580 156 168 0.0297265 43.590 171 170 0.0268745 43.600 160 172 0.0287274 43.610 165 174 0.0277778 43.620 170 174 0.0268745 43.630 160 174 0.0287274 43.640 171 174 0.0268745 43.650 160 173 0.0287274 43.660 172 172 0.0268745 43.670 170 170 0.0277778 43.680 156 169 0.0297265 43.690 172 168 0.0268745 43.700 153 167 0.0297265 43.710 161 166 0.0287274 43.720 165 165 0.0277778 43.730 154 165 0.0297265 43.740 155 164 0.0297265 43.750 162 164 0.0287274 43.760 159 164 0.0287274 43.770 166 165 0.0277778 43.780 166 166 0.0277778 43.790 167 167 0.0277778 43.800 174 168 0.0268745 43.810 173 170 0.0268745 43.820 180 171 0.0260146 43.830 173 174 0.0268745 43.840 184 177 0.0251953 43.850 186 180 0.0244141 43.860 182 183 0.0251953 43.870 195 187 0.0236686 43.880 188 192 0.0244141 43.890 195 196 0.0236686 43.900 198 201 0.0236686 43.910 202 204 0.0229568 43.920 187 207 0.0244141 43.930 199 209 0.0229568 43.940 205 210 0.0222767 43.950 203 210 0.0229568 43.960 197 210 0.0236686 43.970 196 210 0.0236686 43.980 192 209 0.0236686 43.990 196 207 0.0236686 44.000 190 205 0.0244141 44.010 191 202 0.0244141 44.020 180 199 0.0251953 44.030 192 196 0.0236686 44.040 186 192 0.0244141 44.050 193 189 0.0236686 44.060 177 186 0.0260146 44.070 168 182 0.0277778 44.080 171 180 0.0268745 44.090 178 177 0.0260146 44.100 170 174 0.0268745 44.110 163 172 0.0277778 44.120 169 170 0.0268745 44.130 169 168 0.0268745 44.140 161 166 0.0287274 44.150 166 164 0.0277778 44.160 158 162 0.0287274 44.170 173 160 0.0268745 44.180 149 159 0.0307787 44.190 150 157 0.0307787 44.200 141 156 0.0330579 44.210 143 154 0.0318878 44.220 159 153 0.0287274 44.230 145 152 0.0318878 44.240 146 150 0.0318878 44.250 150 149 0.0307787 44.260 148 148 0.0307787 44.270 141 147 0.0330579 44.280 145 146 0.0318878 44.290 144 145 0.0318878 44.300 158 144 0.0287274 44.310 138 143 0.0330579 44.320 143 142 0.0318878 44.330 133 142 0.0342936 44.340 146 141 0.0318878 44.350 139 140 0.0330579 44.360 140 140 0.0330579 44.370 133 140 0.0342936 44.380 140 139 0.0330579 44.390 138 139 0.0330579 44.400 136 139 0.0342936 44.410 134 139 0.0342936 44.420 148 139 0.0307787 44.430 148 139 0.0307787 44.440 137 139 0.0330579 44.450 128 139 0.0355999 44.460 134 139 0.0342936 44.470 133 139 0.0342936 44.480 136 139 0.0342936 44.490 149 139 0.0307787 44.500 142 140 0.0330579 44.510 146 140 0.0318878 44.520 145 140 0.0318878 44.530 144 141 0.0318878 44.540 141 141 0.0330579 44.550 145 142 0.0318878 44.560 151 143 0.0307787 44.570 153 144 0.0297265 44.580 149 145 0.0307787 44.590 149 146 0.0307787 44.600 145 147 0.0318878 44.610 153 148 0.0307787 44.620 158 149 0.0297265 44.630 155 151 0.0297265 44.640 167 152 0.0277778 44.650 163 154 0.0287274 44.660 152 155 0.0307787 44.670 163 157 0.0287274 44.680 164 158 0.0277778 44.690 159 159 0.0287274 44.700 160 159 0.0287274 44.710 154 160 0.0297265 44.720 173 160 0.0268745 44.730 169 161 0.0277778 44.740 151 162 0.0307787 44.750 150 162 0.0307787 44.760 152 162 0.0307787 44.770 160 162 0.0287274 44.780 155 161 0.0297265 44.790 170 159 0.0268745 44.800 155 157 0.0297265 44.810 155 155 0.0297265 44.820 153 153 0.0297265 44.830 154 152 0.0297265 44.840 147 150 0.0318878 44.850 158 149 0.0297265 44.860 163 149 0.0287274 44.870 150 149 0.0307787 44.880 157 149 0.0297265 44.890 160 150 0.0287274 44.900 171 151 0.0268745 44.910 158 153 0.0297265 44.920 160 154 0.0287274 44.930 166 157 0.0277778 44.940 169 159 0.0277778 44.950 167 161 0.0277778 44.960 178 162 0.0260146 44.970 174 163 0.0268745 44.980 170 164 0.0268745 44.990 183 163 0.0251953 45.000 156 162 0.0297265 #===END data_As80 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (P0.20 As0.80 O4)3 O H' _chemical_formula_sum 'As2.40 Ca5 H O13 P0.60' _chemical_formula_weight 607.8 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.6758(3) _cell_length_b 9.6758(3) _cell_length_c 6.9732(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 565.37(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69850 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.04847 _pd_proc_ls_prof_wR_factor 0.06379 _pd_proc_ls_prof_wR_expected 0.03997 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 1.596 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.0 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69850 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As80_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.31603(84) 0.48819(71) 0.25 1 0.765(21) O2 O 6 0.59366(74) 0.46606(77) 0.25 1 0.765(21) O3 O 12 0.33941(54) 0.25085(57) 0.05944(61) 1 0.765(21) As1 As 6 0.39681(17) 0.36909(16) 0.25 0.8015(48) 0.765(21) P1 P 6 0.39681(17) 0.36909(16) 0.25 0.1985(48) 0.765(21) Ca1 Ca 4 0.3333333 0.6666667 0.00330(51) 1 0.765(21) Ca2 Ca 6 0.24625(25) 0.99780(31) 0.25 1 0.765(21) O4 O 4 0 0 0.6971(19) 0.5 0.765(21) # Note: if the displacement parameters were refined anisotropically # the U matrices should be given as for single-crystal studies. ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As80_pattern _pd_block_id HAP_As80_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 442 454 0.0033412 2.010 458 451 0.0032283 2.020 458 448 0.0032283 2.030 443 446 0.0033412 2.040 442 443 0.0033412 2.050 437 440 0.0033802 2.060 441 438 0.0033412 2.070 467 435 0.0031562 2.080 428 432 0.0034602 2.090 449 430 0.0033029 2.100 469 427 0.0031562 2.110 423 425 0.0035013 2.120 436 422 0.0033802 2.130 451 420 0.0032653 2.140 445 417 0.0033029 2.150 424 415 0.0034602 2.160 411 412 0.0035856 2.170 401 410 0.0036731 2.180 421 408 0.0035013 2.190 403 405 0.0036731 2.200 375 403 0.0039063 2.210 391 401 0.0037638 2.220 396 399 0.0037180 2.230 396 396 0.0037180 2.240 380 394 0.0038579 2.250 393 392 0.0037638 2.260 374 390 0.0039555 2.270 362 388 0.0040570 2.280 407 386 0.0036290 2.290 353 383 0.0041623 2.300 370 381 0.0039555 2.310 413 379 0.0035431 2.320 396 377 0.0037180 2.330 398 375 0.0037180 2.340 380 373 0.0038579 2.350 377 371 0.0039063 2.360 389 369 0.0037638 2.370 331 367 0.0044444 2.380 378 366 0.0039063 2.390 361 364 0.0040570 2.400 365 362 0.0040058 2.410 340 360 0.0043283 2.420 329 358 0.0044444 2.430 350 356 0.0042166 2.440 340 354 0.0043283 2.450 356 353 0.0041091 2.460 332 351 0.0044444 2.470 349 349 0.0042166 2.480 355 347 0.0041623 2.490 332 346 0.0044444 2.500 339 344 0.0043283 2.510 343 342 0.0042719 2.520 357 341 0.0041091 2.530 350 339 0.0042166 2.540 335 337 0.0043858 2.550 328 336 0.0045043 2.560 336 334 0.0043858 2.570 330 332 0.0044444 2.580 332 331 0.0044444 2.590 312 329 0.0046913 2.600 349 328 0.0042166 2.610 307 326 0.0047562 2.620 311 325 0.0046913 2.630 324 323 0.0045043 2.640 309 322 0.0047562 2.650 328 320 0.0044444 2.660 309 319 0.0047562 2.670 300 317 0.0048902 2.680 308 316 0.0047562 2.690 324 314 0.0045043 2.700 320 313 0.0045654 2.710 305 312 0.0048225 2.720 318 310 0.0046277 2.730 315 309 0.0046277 2.740 303 307 0.0048225 2.750 301 306 0.0048902 2.760 321 305 0.0045654 2.770 284 303 0.0051757 2.780 297 302 0.0049593 2.790 291 301 0.0050299 2.800 300 299 0.0048902 2.810 269 298 0.0054066 2.820 291 297 0.0050299 2.830 303 296 0.0048225 2.840 286 294 0.0051020 2.850 250 293 0.0058272 2.860 277 292 0.0052510 2.870 297 291 0.0049593 2.880 288 289 0.0051020 2.890 301 288 0.0048902 2.900 293 287 0.0049593 2.910 283 286 0.0051757 2.920 289 285 0.0050299 2.930 265 284 0.0054870 2.940 293 282 0.0049593 2.950 289 281 0.0050299 2.960 285 280 0.0051020 2.970 287 279 0.0051020 2.980 265 278 0.0054870 2.990 263 277 0.0055692 3.000 270 276 0.0054066 3.010 267 275 0.0054870 3.020 268 273 0.0054870 3.030 251 272 0.0058272 3.040 272 271 0.0053279 3.050 267 270 0.0054870 3.060 282 269 0.0051757 3.070 284 268 0.0051757 3.080 272 267 0.0054066 3.090 268 266 0.0054870 3.100 260 265 0.0056532 3.110 295 264 0.0049593 3.120 264 263 0.0054870 3.130 260 262 0.0055692 3.140 258 261 0.0056532 3.150 267 260 0.0054870 3.160 275 259 0.0053279 3.170 269 258 0.0054066 3.180 254 257 0.0057392 3.190 267 257 0.0054870 3.200 268 256 0.0054870 3.210 230 255 0.0064000 3.220 229 254 0.0064000 3.230 247 253 0.0059172 3.240 280 252 0.0052510 3.250 267 251 0.0054870 3.260 271 250 0.0054066 3.270 256 249 0.0057392 3.280 242 248 0.0060093 3.290 233 248 0.0062988 3.300 241 247 0.0060093 3.310 260 246 0.0055692 3.320 254 245 0.0057392 3.330 254 244 0.0057392 3.340 261 243 0.0055692 3.350 237 243 0.0062000 3.360 224 242 0.0065036 3.370 239 241 0.0061035 3.380 234 240 0.0062000 3.390 227 239 0.0064000 3.400 254 239 0.0057392 3.410 243 238 0.0060093 3.420 237 237 0.0062000 3.430 218 236 0.0067186 3.440 232 235 0.0062988 3.450 237 235 0.0061035 3.460 243 234 0.0060093 3.470 236 233 0.0062000 3.480 217 232 0.0067186 3.490 233 232 0.0062988 3.500 232 231 0.0062988 3.510 228 230 0.0064000 3.520 233 230 0.0062988 3.530 241 229 0.0061035 3.540 224 228 0.0065036 3.550 223 227 0.0065036 3.560 246 227 0.0059172 3.570 232 226 0.0062988 3.580 218 225 0.0067186 3.590 225 225 0.0065036 3.600 213 224 0.0068301 3.610 217 224 0.0067186 3.620 225 223 0.0065036 3.630 236 222 0.0062000 3.640 213 222 0.0068301 3.650 228 221 0.0064000 3.660 239 220 0.0061035 3.670 220 220 0.0066098 3.680 257 219 0.0056532 3.690 216 219 0.0067186 3.700 200 218 0.0073051 3.710 201 218 0.0073051 3.720 205 218 0.0070616 3.730 227 217 0.0064000 3.740 216 216 0.0067186 3.750 232 216 0.0062988 3.760 225 215 0.0065036 3.770 222 215 0.0065036 3.780 218 214 0.0067186 3.790 231 214 0.0062988 3.800 223 213 0.0065036 3.810 240 212 0.0061035 3.820 221 212 0.0066098 3.830 216 211 0.0067186 3.840 215 211 0.0068301 3.850 189 210 0.0076947 3.860 225 210 0.0065036 3.870 211 209 0.0069444 3.880 212 209 0.0068301 3.890 213 208 0.0068301 3.900 213 208 0.0068301 3.910 199 207 0.0073051 3.920 216 207 0.0067186 3.930 210 206 0.0069444 3.940 203 206 0.0071818 3.950 199 205 0.0073051 3.960 209 205 0.0069444 3.970 223 205 0.0065036 3.980 212 204 0.0068301 3.990 212 204 0.0068301 4.000 224 203 0.0065036 4.010 205 203 0.0070616 4.020 209 202 0.0069444 4.030 216 202 0.0067186 4.040 195 202 0.0074316 4.050 183 201 0.0079719 4.060 219 201 0.0066098 4.070 211 200 0.0069444 4.080 197 200 0.0074316 4.090 190 200 0.0076947 4.100 207 199 0.0070616 4.110 212 199 0.0068301 4.120 206 199 0.0070616 4.130 190 198 0.0076947 4.140 195 198 0.0074316 4.150 234 198 0.0062000 4.160 212 197 0.0068301 4.170 199 197 0.0073051 4.180 202 197 0.0071818 4.190 201 196 0.0073051 4.200 204 196 0.0071818 4.210 176 196 0.0082645 4.220 199 196 0.0073051 4.230 174 195 0.0084168 4.240 190 195 0.0076947 4.250 216 195 0.0067186 4.260 221 195 0.0066098 4.270 208 195 0.0069444 4.280 197 195 0.0073051 4.290 213 194 0.0068301 4.300 183 194 0.0079719 4.310 198 194 0.0073051 4.320 194 194 0.0074316 4.330 205 194 0.0070616 4.340 214 194 0.0068301 4.350 181 194 0.0079719 4.360 213 194 0.0068301 4.370 200 195 0.0073051 4.380 193 195 0.0075614 4.390 202 195 0.0071818 4.400 200 195 0.0073051 4.410 191 196 0.0075614 4.420 197 196 0.0074316 4.430 205 197 0.0070616 4.440 189 197 0.0076947 4.450 213 198 0.0068301 4.460 217 199 0.0067186 4.470 240 200 0.0060093 4.480 190 201 0.0076947 4.490 219 203 0.0066098 4.500 237 205 0.0061035 4.510 199 207 0.0073051 4.520 247 210 0.0058272 4.530 225 214 0.0065036 4.540 241 218 0.0060093 4.550 243 224 0.0059172 4.560 255 231 0.0056532 4.570 266 239 0.0054066 4.580 284 250 0.0051020 4.590 261 262 0.0055692 4.600 295 277 0.0048902 4.610 322 293 0.0045043 4.620 334 311 0.0043283 4.630 358 331 0.0040570 4.640 370 353 0.0039063 4.650 392 378 0.0037180 4.660 423 406 0.0034199 4.670 458 437 0.0031562 4.680 491 472 0.0029537 4.690 520 513 0.0027701 4.700 550 559 0.0026298 4.710 603 611 0.0024029 4.720 632 671 0.0022893 4.730 690 737 0.0021042 4.740 738 808 0.0019579 4.750 724 875 0.0019930 4.760 748 917 0.0019237 4.770 722 905 0.0019930 4.780 614 824 0.0023565 4.790 565 701 0.0025508 4.800 520 578 0.0027701 4.810 437 479 0.0033029 4.820 367 407 0.0039555 4.830 337 355 0.0042719 4.840 277 317 0.0051757 4.850 257 290 0.0055692 4.860 264 269 0.0054870 4.870 233 253 0.0062000 4.880 221 241 0.0065036 4.890 216 231 0.0067186 4.900 212 222 0.0068301 4.910 212 216 0.0068301 4.920 210 210 0.0068301 4.930 189 206 0.0075614 4.940 182 202 0.0079719 4.950 189 198 0.0075614 4.960 194 195 0.0074316 4.970 167 193 0.0085734 4.980 173 190 0.0082645 4.990 185 188 0.0078315 5.000 166 186 0.0087344 5.010 152 185 0.0094260 5.020 186 183 0.0076947 5.030 175 182 0.0082645 5.040 182 181 0.0078315 5.050 180 180 0.0079719 5.060 176 179 0.0081162 5.070 191 178 0.0075614 5.080 172 177 0.0084168 5.090 157 176 0.0090703 5.100 164 175 0.0087344 5.110 191 174 0.0075614 5.120 184 174 0.0078315 5.130 185 173 0.0078315 5.140 174 172 0.0082645 5.150 174 172 0.0082645 5.160 175 171 0.0082645 5.170 183 171 0.0078315 5.180 172 170 0.0082645 5.190 182 170 0.0078315 5.200 185 169 0.0076947 5.210 175 169 0.0082645 5.220 156 169 0.0092456 5.230 164 168 0.0087344 5.240 175 168 0.0081162 5.250 160 167 0.0089000 5.260 176 167 0.0081162 5.270 160 167 0.0089000 5.280 167 166 0.0085734 5.290 158 166 0.0090703 5.300 163 166 0.0089000 5.310 173 166 0.0082645 5.320 169 165 0.0084168 5.330 144 165 0.0100000 5.340 160 165 0.0089000 5.350 169 164 0.0084168 5.360 154 164 0.0092456 5.370 156 164 0.0092456 5.380 181 164 0.0079719 5.390 161 164 0.0089000 5.400 159 163 0.0090703 5.410 172 163 0.0082645 5.420 162 163 0.0089000 5.430 160 163 0.0089000 5.440 152 162 0.0094260 5.450 156 162 0.0092456 5.460 180 162 0.0079719 5.470 159 162 0.0090703 5.480 162 162 0.0089000 5.490 155 161 0.0092456 5.500 162 161 0.0089000 5.510 165 161 0.0087344 5.520 162 161 0.0089000 5.530 151 161 0.0094260 5.540 149 161 0.0096117 5.550 158 160 0.0090703 5.560 173 160 0.0082645 5.570 156 160 0.0092456 5.580 144 160 0.0100000 5.590 147 160 0.0098030 5.600 162 160 0.0089000 5.610 180 160 0.0079719 5.620 153 159 0.0094260 5.630 160 159 0.0089000 5.640 164 159 0.0087344 5.650 159 159 0.0090703 5.660 152 159 0.0094260 5.670 155 159 0.0092456 5.680 150 159 0.0096117 5.690 161 159 0.0089000 5.700 155 158 0.0092456 5.710 150 158 0.0096117 5.720 159 158 0.0090703 5.730 165 158 0.0087344 5.740 151 158 0.0096117 5.750 155 158 0.0092456 5.760 152 158 0.0094260 5.770 159 158 0.0090703 5.780 147 157 0.0098030 5.790 159 157 0.0090703 5.800 184 157 0.0078315 5.810 155 157 0.0092456 5.820 163 157 0.0087344 5.830 165 157 0.0087344 5.840 151 156 0.0096117 5.850 168 156 0.0085734 5.860 155 156 0.0092456 5.870 145 156 0.0100000 5.880 138 156 0.0104123 5.890 157 156 0.0092456 5.900 154 156 0.0094260 5.910 165 156 0.0087344 5.920 165 155 0.0087344 5.930 165 155 0.0087344 5.940 144 155 0.0100000 5.950 141 155 0.0102030 5.960 148 155 0.0098030 5.970 162 155 0.0089000 5.980 160 155 0.0090703 5.990 160 155 0.0090703 6.000 146 155 0.0098030 6.010 141 155 0.0102030 6.020 159 155 0.0090703 6.030 172 155 0.0084168 6.040 154 155 0.0094260 6.050 153 155 0.0094260 6.060 153 155 0.0094260 6.070 148 155 0.0098030 6.080 152 155 0.0094260 6.090 149 155 0.0096117 6.100 154 155 0.0094260 6.110 174 155 0.0082645 6.120 146 155 0.0098030 6.130 165 155 0.0087344 6.140 151 155 0.0096117 6.150 147 155 0.0098030 6.160 158 155 0.0090703 6.170 168 154 0.0085734 6.180 156 154 0.0092456 6.190 154 154 0.0094260 6.200 163 154 0.0089000 6.210 160 154 0.0090703 6.220 154 154 0.0094260 6.230 161 154 0.0089000 6.240 149 154 0.0096117 6.250 154 154 0.0094260 6.260 146 154 0.0098030 6.270 147 154 0.0098030 6.280 158 154 0.0090703 6.290 157 154 0.0092456 6.300 164 154 0.0087344 6.310 154 154 0.0094260 6.320 155 154 0.0094260 6.330 161 154 0.0089000 6.340 150 154 0.0096117 6.350 157 154 0.0092456 6.360 158 154 0.0090703 6.370 152 154 0.0094260 6.380 155 154 0.0092456 6.390 155 154 0.0092456 6.400 157 154 0.0092456 6.410 160 154 0.0090703 6.420 155 154 0.0092456 6.430 148 154 0.0098030 6.440 150 154 0.0096117 6.450 159 154 0.0090703 6.460 156 154 0.0092456 6.470 157 154 0.0092456 6.480 155 154 0.0092456 6.490 147 154 0.0098030 6.500 146 154 0.0098030 6.510 150 154 0.0096117 6.520 167 154 0.0085734 6.530 147 155 0.0098030 6.540 154 155 0.0092456 6.550 157 155 0.0092456 6.560 143 155 0.0100000 6.570 172 155 0.0084168 6.580 161 155 0.0089000 6.590 159 155 0.0090703 6.600 141 155 0.0102030 6.610 171 155 0.0084168 6.620 149 155 0.0096117 6.630 159 155 0.0090703 6.640 152 155 0.0094260 6.650 172 155 0.0084168 6.660 157 155 0.0090703 6.670 156 155 0.0092456 6.680 165 155 0.0087344 6.690 145 155 0.0098030 6.700 155 155 0.0092456 6.710 154 155 0.0092456 6.720 183 156 0.0078315 6.730 159 156 0.0090703 6.740 156 156 0.0092456 6.750 156 156 0.0092456 6.760 146 156 0.0098030 6.770 149 156 0.0096117 6.780 177 156 0.0081162 6.790 167 156 0.0085734 6.800 154 156 0.0092456 6.810 171 156 0.0084168 6.820 167 156 0.0085734 6.830 158 156 0.0090703 6.840 146 156 0.0098030 6.850 178 156 0.0079719 6.860 156 157 0.0090703 6.870 168 157 0.0085734 6.880 160 157 0.0089000 6.890 158 157 0.0090703 6.900 152 157 0.0094260 6.910 160 157 0.0089000 6.920 144 157 0.0098030 6.930 165 157 0.0087344 6.940 157 157 0.0090703 6.950 168 157 0.0085734 6.960 163 158 0.0087344 6.970 152 158 0.0094260 6.980 165 158 0.0085734 6.990 173 158 0.0082645 7.000 159 159 0.0089000 7.010 168 159 0.0084168 7.020 161 159 0.0089000 7.030 169 159 0.0084168 7.040 171 159 0.0082645 7.050 168 159 0.0084168 7.060 167 160 0.0085734 7.070 158 160 0.0090703 7.080 177 160 0.0081162 7.090 165 160 0.0085734 7.100 153 160 0.0092456 7.110 147 161 0.0096117 7.120 163 161 0.0087344 7.130 165 161 0.0085734 7.140 159 161 0.0089000 7.150 170 162 0.0084168 7.160 166 162 0.0085734 7.170 171 162 0.0082645 7.180 175 163 0.0081162 7.190 176 163 0.0081162 7.200 170 164 0.0084168 7.210 176 164 0.0081162 7.220 169 165 0.0084168 7.230 168 165 0.0084168 7.240 136 166 0.0104123 7.250 186 167 0.0075614 7.260 166 168 0.0085734 7.270 174 169 0.0081162 7.280 174 170 0.0081162 7.290 172 172 0.0082645 7.300 191 174 0.0074316 7.310 171 176 0.0082645 7.320 196 180 0.0073051 7.330 164 184 0.0085734 7.340 181 190 0.0078315 7.350 213 197 0.0066098 7.360 226 206 0.0062988 7.370 203 216 0.0069444 7.380 254 229 0.0055692 7.390 268 243 0.0052510 7.400 268 260 0.0053279 7.410 306 281 0.0046277 7.420 285 304 0.0049593 7.430 338 332 0.0042166 7.440 317 363 0.0044444 7.450 376 392 0.0037638 7.460 378 408 0.0037638 7.470 390 393 0.0036290 7.480 300 349 0.0046913 7.490 300 299 0.0046913 7.500 265 260 0.0053279 7.510 243 234 0.0058272 7.520 217 216 0.0065036 7.530 195 204 0.0073051 7.540 198 196 0.0071818 7.550 204 190 0.0069444 7.560 180 186 0.0078315 7.570 171 183 0.0082645 7.580 193 180 0.0073051 7.590 188 178 0.0075614 7.600 195 177 0.0071818 7.610 170 175 0.0082645 7.620 179 175 0.0078315 7.630 167 174 0.0084168 7.640 174 173 0.0081162 7.650 145 173 0.0098030 7.660 159 172 0.0089000 7.670 166 172 0.0085734 7.680 155 172 0.0090703 7.690 177 172 0.0079719 7.700 183 172 0.0076947 7.710 160 172 0.0089000 7.720 169 171 0.0084168 7.730 158 172 0.0089000 7.740 163 172 0.0087344 7.750 169 172 0.0084168 7.760 174 172 0.0081162 7.770 163 172 0.0087344 7.780 181 172 0.0078315 7.790 189 172 0.0074316 7.800 163 173 0.0087344 7.810 185 173 0.0076947 7.820 195 173 0.0073051 7.830 176 173 0.0079719 7.840 188 174 0.0074316 7.850 192 174 0.0073051 7.860 159 174 0.0089000 7.870 183 175 0.0076947 7.880 174 175 0.0081162 7.890 156 176 0.0090703 7.900 170 176 0.0082645 7.910 162 177 0.0087344 7.920 176 177 0.0079719 7.930 152 178 0.0092456 7.940 191 179 0.0074316 7.950 174 180 0.0081162 7.960 161 180 0.0087344 7.970 182 181 0.0076947 7.980 189 182 0.0074316 7.990 205 183 0.0069444 8.000 156 185 0.0090703 8.010 205 186 0.0069444 8.020 184 188 0.0076947 8.030 189 189 0.0074316 8.040 190 191 0.0074316 8.050 184 193 0.0076947 8.060 212 196 0.0066098 8.070 188 199 0.0075614 8.080 191 203 0.0074316 8.090 218 207 0.0065036 8.100 200 212 0.0070616 8.110 228 218 0.0062000 8.120 231 225 0.0061035 8.130 229 234 0.0062000 8.140 250 246 0.0056532 8.150 263 260 0.0053279 8.160 307 278 0.0046277 8.170 285 300 0.0049593 8.180 340 326 0.0041623 8.190 350 357 0.0040570 8.200 354 393 0.0039555 8.210 417 435 0.0033802 8.220 474 481 0.0029861 8.230 472 532 0.0029861 8.240 506 585 0.0027995 8.250 510 635 0.0027701 8.260 562 669 0.0025000 8.270 579 674 0.0024267 8.280 562 641 0.0025000 8.290 506 577 0.0027995 8.300 455 503 0.0030864 8.310 422 435 0.0033412 8.320 361 380 0.0039063 8.330 343 338 0.0041091 8.340 298 307 0.0047562 8.350 288 283 0.0048902 8.360 277 265 0.0051020 8.370 243 251 0.0058272 8.380 224 240 0.0062988 8.390 222 231 0.0064000 8.400 213 224 0.0066098 8.410 179 218 0.0078315 8.420 194 214 0.0073051 8.430 211 210 0.0067186 8.440 218 206 0.0065036 8.450 200 204 0.0070616 8.460 194 201 0.0073051 8.470 209 199 0.0067186 8.480 215 198 0.0066098 8.490 192 196 0.0073051 8.500 210 195 0.0067186 8.510 197 194 0.0071818 8.520 179 193 0.0078315 8.530 199 192 0.0070616 8.540 197 191 0.0071818 8.550 222 191 0.0064000 8.560 208 190 0.0068301 8.570 182 190 0.0078315 8.580 199 189 0.0070616 8.590 209 189 0.0067186 8.600 208 189 0.0068301 8.610 167 189 0.0084168 8.620 180 188 0.0078315 8.630 181 188 0.0078315 8.640 179 188 0.0078315 8.650 204 188 0.0069444 8.660 198 188 0.0070616 8.670 184 188 0.0076947 8.680 186 188 0.0075614 8.690 197 188 0.0071818 8.700 191 188 0.0074316 8.710 187 188 0.0075614 8.720 170 188 0.0082645 8.730 189 188 0.0074316 8.740 177 188 0.0079719 8.750 204 188 0.0069444 8.760 192 188 0.0073051 8.770 194 188 0.0073051 8.780 216 188 0.0065036 8.790 204 188 0.0069444 8.800 211 188 0.0067186 8.810 195 188 0.0071818 8.820 202 188 0.0069444 8.830 206 188 0.0068301 8.840 198 189 0.0070616 8.850 213 189 0.0066098 8.860 192 189 0.0073051 8.870 193 189 0.0073051 8.880 196 189 0.0071818 8.890 203 190 0.0069444 8.900 196 190 0.0071818 8.910 203 191 0.0069444 8.920 183 192 0.0076947 8.930 228 192 0.0062000 8.940 191 192 0.0073051 8.950 223 193 0.0062988 8.960 191 193 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0.0054870 9.800 252 254 0.0054870 9.810 253 257 0.0054870 9.820 250 262 0.0055692 9.830 262 267 0.0053279 9.840 281 272 0.0049593 9.850 279 279 0.0049593 9.860 313 286 0.0044444 9.870 284 294 0.0048902 9.880 296 304 0.0046913 9.890 321 316 0.0043283 9.900 312 329 0.0044444 9.910 344 346 0.0040570 9.920 361 366 0.0038579 9.930 401 390 0.0034602 9.940 447 421 0.0031210 9.950 479 460 0.0028905 9.960 520 511 0.0026846 9.970 613 576 0.0022676 9.980 707 661 0.0019753 9.990 823 769 0.0016935 10.000 973 903 0.0039555 10.010 1077 1064 0.0022893 10.020 1290 1255 0.0019237 10.030 1509 1474 0.0016391 10.040 1754 1716 0.0014133 10.050 1881 1961 0.0013127 10.060 2083 2164 0.0011891 10.070 2049 2247 0.0012056 10.080 2003 2143 0.0012311 10.090 1784 1871 0.0013820 10.100 1557 1537 0.0015873 10.110 1267 1235 0.0019579 10.120 1030 1000 0.0024029 10.130 850 826 0.0029218 10.140 733 698 0.0033802 10.150 591 605 0.0041623 10.160 522 535 0.0047562 10.170 467 482 0.0052510 10.180 423 440 0.0058272 10.190 394 408 0.0062988 10.200 367 382 0.0067186 10.210 333 361 0.0074316 10.220 327 344 0.0075614 10.230 310 329 0.0079719 10.240 326 317 0.0075614 10.250 299 307 0.0082645 10.260 287 299 0.0085734 10.270 285 291 0.0085734 10.280 278 285 0.0089000 10.290 286 280 0.0085734 10.300 266 275 0.0092456 10.310 250 270 0.0098030 10.320 272 267 0.0090703 10.330 265 263 0.0092456 10.340 257 260 0.0096117 10.350 272 258 0.0090703 10.360 240 256 0.0102030 10.370 259 253 0.0096117 10.380 257 252 0.0096117 10.390 259 250 0.0094260 10.400 255 248 0.0096117 10.410 251 247 0.0098030 10.420 254 246 0.0096117 10.430 265 244 0.0092456 10.440 243 243 0.0102030 10.450 228 243 0.0108507 10.460 250 242 0.0098030 10.470 262 241 0.0094260 10.480 254 240 0.0096117 10.490 244 239 0.0102030 10.500 242 239 0.0102030 10.510 243 238 0.0102030 10.520 270 238 0.0090703 10.530 261 237 0.0094260 10.540 241 237 0.0102030 10.550 257 237 0.0096117 10.560 242 236 0.0102030 10.570 224 236 0.0110803 10.580 233 236 0.0106281 10.590 247 236 0.0100000 10.600 230 236 0.0106281 10.610 238 236 0.0104123 10.620 240 236 0.0102030 10.630 253 238 0.0098030 10.640 251 238 0.0098030 10.650 255 238 0.0096117 10.660 256 238 0.0096117 10.670 229 238 0.0108507 10.680 242 238 0.0102030 10.690 213 238 0.0115620 10.700 227 238 0.0108507 10.710 249 238 0.0098030 10.720 232 238 0.0106281 10.730 242 238 0.0102030 10.740 242 238 0.0102030 10.750 268 238 0.0092456 10.760 247 238 0.0100000 10.770 228 239 0.0108507 10.780 254 239 0.0096117 10.790 258 239 0.0096117 10.800 247 239 0.0100000 10.810 249 239 0.0098030 10.820 228 240 0.0108507 10.830 250 240 0.0098030 10.840 231 240 0.0106281 10.850 241 241 0.0102030 10.860 240 241 0.0102030 10.870 235 242 0.0104123 10.880 249 242 0.0100000 10.890 228 243 0.0108507 10.900 253 243 0.0098030 10.910 253 244 0.0098030 10.920 253 245 0.0098030 10.930 247 245 0.0100000 10.940 235 246 0.0104123 10.950 244 247 0.0100000 10.960 258 248 0.0096117 10.970 260 250 0.0094260 10.980 261 251 0.0094260 10.990 262 253 0.0094260 11.000 257 255 0.0096117 11.010 260 257 0.0094260 11.020 255 260 0.0096117 11.030 268 264 0.0092456 11.040 267 268 0.0092456 11.050 267 274 0.0092456 11.060 298 281 0.0082645 11.070 296 290 0.0082645 11.080 310 301 0.0079719 11.090 324 315 0.0075614 11.100 356 331 0.0069444 11.110 335 350 0.0073051 11.120 360 370 0.0068301 11.130 394 390 0.0062000 11.140 406 407 0.0060093 11.150 393 414 0.0062000 11.160 384 408 0.0064000 11.170 393 390 0.0062000 11.180 366 367 0.0067186 11.190 353 346 0.0069444 11.200 319 329 0.0076947 11.210 290 317 0.0084168 11.220 297 309 0.0082645 11.230 290 303 0.0084168 11.240 292 299 0.0084168 11.250 298 298 0.0082645 11.260 298 298 0.0082645 11.270 292 300 0.0084168 11.280 299 303 0.0082645 11.290 271 308 0.0090703 11.300 296 313 0.0082645 11.310 278 321 0.0089000 11.320 287 330 0.0085734 11.330 305 342 0.0079719 11.340 307 357 0.0079719 11.350 328 375 0.0074316 11.360 316 399 0.0076947 11.370 328 430 0.0074316 11.380 379 472 0.0065036 11.390 448 528 0.0054870 11.400 535 608 0.0045654 11.410 669 718 0.0036731 11.420 802 868 0.0030524 11.430 1011 1063 0.0024267 11.440 1245 1307 0.0019579 11.450 1545 1605 0.0015747 11.460 2001 1960 0.0012226 11.470 2577 2351 0.0009467 11.480 3328 2697 0.0007344 11.490 3844 2811 0.0006345 11.500 3116 2530 0.0007803 11.510 2035 1993 0.0011973 11.520 1291 1486 0.0018904 11.530 972 1120 0.0025000 11.540 762 878 0.0031919 11.550 578 717 0.0042166 11.560 488 607 0.0049593 11.570 447 530 0.0054066 11.580 378 474 0.0064000 11.590 364 432 0.0067186 11.600 341 400 0.0071818 11.610 314 375 0.0076947 11.620 312 356 0.0078315 11.630 319 340 0.0075614 11.640 310 327 0.0078315 11.650 301 316 0.0081162 11.660 298 307 0.0081162 11.670 271 299 0.0089000 11.680 282 293 0.0085734 11.690 272 287 0.0089000 11.700 281 282 0.0085734 11.710 262 278 0.0092456 11.720 261 274 0.0092456 11.730 275 271 0.0087344 11.740 265 268 0.0090703 11.750 277 265 0.0087344 11.760 264 263 0.0090703 11.770 254 261 0.0094260 11.780 258 259 0.0094260 11.790 258 257 0.0094260 11.800 258 256 0.0094260 11.810 240 254 0.0100000 11.820 243 253 0.0100000 11.830 242 252 0.0100000 11.840 268 251 0.0090703 11.850 247 250 0.0098030 11.860 248 249 0.0098030 11.870 246 248 0.0098030 11.880 257 247 0.0094260 11.890 254 247 0.0096117 11.900 257 246 0.0094260 11.910 252 245 0.0096117 11.920 249 245 0.0096117 11.930 237 244 0.0102030 11.940 233 244 0.0104123 11.950 261 243 0.0092456 11.960 259 243 0.0092456 11.970 254 243 0.0094260 11.980 234 242 0.0104123 11.990 245 242 0.0098030 12.000 252 241 0.0096117 12.010 244 241 0.0100000 12.020 240 241 0.0100000 12.030 252 241 0.0096117 12.040 249 240 0.0096117 12.050 260 240 0.0092456 12.060 245 240 0.0098030 12.070 241 240 0.0100000 12.080 242 240 0.0100000 12.090 235 240 0.0102030 12.100 240 239 0.0100000 12.110 234 239 0.0102030 12.120 231 239 0.0104123 12.130 254 239 0.0094260 12.140 242 239 0.0100000 12.150 253 239 0.0096117 12.160 238 239 0.0102030 12.170 237 239 0.0102030 12.180 255 239 0.0094260 12.190 259 240 0.0092456 12.200 250 240 0.0096117 12.210 246 240 0.0098030 12.220 259 240 0.0094260 12.230 256 240 0.0094260 12.240 237 241 0.0102030 12.250 236 241 0.0102030 12.260 239 242 0.0102030 12.270 245 242 0.0098030 12.280 248 243 0.0098030 12.290 253 244 0.0096117 12.300 254 244 0.0094260 12.310 232 246 0.0104123 12.320 259 247 0.0092456 12.330 242 248 0.0100000 12.340 259 250 0.0094260 12.350 252 252 0.0096117 12.360 245 255 0.0098030 12.370 249 259 0.0098030 12.380 280 265 0.0085734 12.390 280 272 0.0085734 12.400 292 281 0.0082645 12.410 280 293 0.0085734 12.420 321 305 0.0075614 12.430 324 319 0.0074316 12.440 334 330 0.0071818 12.450 366 336 0.0066098 12.460 361 333 0.0067186 12.470 332 323 0.0073051 12.480 323 314 0.0074316 12.490 341 308 0.0070616 12.500 322 306 0.0075614 12.510 319 308 0.0075614 12.520 312 313 0.0076947 12.530 325 322 0.0074316 12.540 346 333 0.0069444 12.550 351 349 0.0068301 12.560 372 369 0.0065036 12.570 419 395 0.0057392 12.580 449 427 0.0054066 12.590 490 466 0.0048902 12.600 498 512 0.0048225 12.610 577 564 0.0041623 12.620 622 618 0.0038579 12.630 649 669 0.0035013 12.640 725 708 0.0024267 12.650 708 723 0.0039555 12.660 715 709 0.0039063 12.670 685 666 0.0040570 12.680 622 607 0.0044444 12.690 588 545 0.0046913 12.700 493 489 0.0055692 12.710 463 442 0.0059172 12.720 433 405 0.0062988 12.730 397 375 0.0069444 12.740 386 351 0.0070616 12.750 368 332 0.0074316 12.760 316 317 0.0085734 12.770 337 305 0.0081162 12.780 305 295 0.0089000 12.790 298 287 0.0090703 12.800 277 280 0.0098030 12.810 271 274 0.0100000 12.820 282 269 0.0096117 12.830 288 265 0.0094260 12.840 278 262 0.0098030 12.850 273 259 0.0098030 12.860 270 256 0.0100000 12.870 269 254 0.0100000 12.880 269 252 0.0100000 12.890 259 250 0.0104123 12.900 275 248 0.0098030 12.910 235 247 0.0113173 12.920 239 246 0.0110803 12.930 248 245 0.0108507 12.940 243 244 0.0110803 12.950 242 243 0.0110803 12.960 253 242 0.0106281 12.970 258 241 0.0104123 12.980 263 241 0.0102030 12.990 244 240 0.0108507 13.000 245 240 0.0108507 13.010 254 239 0.0104123 13.020 242 239 0.0110803 13.030 251 239 0.0106281 13.040 258 238 0.0102030 13.050 245 238 0.0102030 13.060 225 238 0.0067186 13.070 246 238 0.0062000 13.080 237 238 0.0064000 13.090 223 237 0.0068301 13.100 255 237 0.0059172 13.110 239 237 0.0062988 13.120 197 237 0.0076947 13.130 235 237 0.0065036 13.140 250 238 0.0061035 13.150 242 238 0.0062988 13.160 256 238 0.0059172 13.170 245 239 0.0062000 13.180 228 241 0.0066098 13.190 248 241 0.0061035 13.200 236 242 0.0064000 13.210 252 242 0.0060093 13.220 232 242 0.0065036 13.230 246 243 0.0062000 13.240 262 243 0.0057392 13.250 258 244 0.0058272 13.260 257 244 0.0059172 13.270 265 245 0.0057392 13.280 283 246 0.0053279 13.290 253 246 0.0060093 13.300 255 247 0.0059172 13.310 264 248 0.0057392 13.320 246 249 0.0061035 13.330 244 250 0.0062000 13.340 266 251 0.0056532 13.350 270 252 0.0055692 13.360 268 253 0.0056532 13.370 266 254 0.0056532 13.380 255 255 0.0059172 13.390 271 256 0.0055692 13.400 250 258 0.0060093 13.410 254 260 0.0059172 13.420 259 261 0.0058272 13.430 283 263 0.0053279 13.440 242 265 0.0062000 13.450 256 267 0.0059172 13.460 245 269 0.0061035 13.470 304 271 0.0049593 13.480 246 274 0.0061035 13.490 271 277 0.0055692 13.500 284 280 0.0053279 13.510 271 283 0.0055692 13.520 285 286 0.0052510 13.530 301 290 0.0050299 13.540 287 294 0.0052510 13.550 294 299 0.0051020 13.560 280 303 0.0054066 13.570 274 309 0.0054870 13.580 283 314 0.0053279 13.590 313 321 0.0047562 13.600 316 327 0.0047562 13.610 330 335 0.0045654 13.620 326 343 0.0046277 13.630 340 353 0.0043858 13.640 347 363 0.0043283 13.650 362 375 0.0041623 13.660 359 388 0.0041623 13.670 347 402 0.0043283 13.680 397 419 0.0037638 13.690 423 438 0.0035431 13.700 425 459 0.0035013 13.710 446 484 0.0033412 13.720 446 513 0.0033412 13.730 466 547 0.0031919 13.740 512 586 0.0029218 13.750 583 633 0.0025508 13.760 609 689 0.0024507 13.770 721 758 0.0020661 13.780 784 841 0.0019069 13.790 877 944 0.0017075 13.800 1066 1073 0.0014027 13.810 1227 1235 0.0012140 13.820 1525 1441 0.0009766 13.830 1781 1701 0.0008353 13.840 2063 2023 0.0007226 13.850 2519 2415 0.0005920 13.860 2928 2869 0.0005096 13.870 3479 3364 0.0004287 13.880 3866 3851 0.0003860 13.890 4232 4248 0.0003520 13.900 4379 4445 0.0003404 13.910 4200 4357 0.0003547 13.920 3896 3996 0.0003830 13.930 3507 3472 0.0004251 13.940 2928 2921 0.0005096 13.950 2572 2430 0.0005806 13.960 2113 2029 0.0007036 13.970 1794 1716 0.0008305 13.980 1527 1476 0.0009766 13.990 1345 1292 0.0011111 14.000 1144 1152 0.0013033 14.010 1031 1046 0.0014457 14.020 984 968 0.0015140 14.030 912 911 0.0016391 14.040 843 873 0.0017654 14.050 820 852 0.0018108 14.060 791 848 0.0018740 14.070 835 863 0.0017803 14.080 861 898 0.0017217 14.090 969 960 0.0015379 14.100 1082 1058 0.0013717 14.110 1252 1202 0.0011891 14.120 1429 1404 0.0010406 14.130 1762 1672 0.0008451 14.140 2058 2008 0.0007226 14.150 2493 2399 0.0005978 14.160 2797 2800 0.0005334 14.170 3095 3100 0.0004809 14.180 3083 3132 0.0004830 14.190 2884 2830 0.0005165 14.200 2383 2355 0.0006250 14.210 1980 1917 0.0007506 14.220 1724 1600 0.0008651 14.230 1472 1395 0.0010078 14.240 1311 1277 0.0011337 14.250 1285 1223 0.0011569 14.260 1232 1220 0.0012056 14.270 1280 1261 0.0011648 14.280 1383 1345 0.0010750 14.290 1440 1470 0.0010339 14.300 1685 1635 0.0008805 14.310 1872 1836 0.0007935 14.320 2043 2059 0.0007305 14.330 2317 2282 0.0006409 14.340 2458 2469 0.0006067 14.350 2507 2575 0.0005949 14.360 2541 2562 0.0005863 14.370 2439 2422 0.0006097 14.380 2211 2187 0.0006747 14.390 1963 1911 0.0007589 14.400 1675 1642 0.0008911 14.410 1474 1404 0.0010078 14.420 1259 1205 0.0011809 14.430 1125 1044 0.0013223 14.440 977 915 0.0015259 14.450 815 810 0.0018263 14.460 764 726 0.0019407 14.470 708 657 0.0021042 14.480 577 601 0.0025767 14.490 582 554 0.0025508 14.500 560 515 0.0026570 14.510 460 483 0.0032283 14.520 449 455 0.0033029 14.530 413 431 0.0035856 14.540 392 410 0.0038104 14.550 375 392 0.0039555 14.560 370 376 0.0040058 14.570 391 363 0.0038104 14.580 355 351 0.0042166 14.590 335 340 0.0044444 14.600 310 331 0.0048225 14.610 314 323 0.0047562 14.620 320 315 0.0046277 14.630 302 309 0.0049593 14.640 273 303 0.0054870 14.650 299 298 0.0049593 14.660 281 293 0.0053279 14.670 261 289 0.0057392 14.680 265 286 0.0056532 14.690 274 283 0.0054066 14.700 270 281 0.0054870 14.710 266 279 0.0055692 14.720 267 277 0.0055692 14.730 248 276 0.0060093 14.740 297 276 0.0050299 14.750 265 276 0.0056532 14.760 278 277 0.0053279 14.770 276 279 0.0054066 14.780 257 282 0.0058272 14.790 282 285 0.0052510 14.800 279 290 0.0053279 14.810 322 296 0.0046277 14.820 298 304 0.0050299 14.830 314 315 0.0047562 14.840 333 328 0.0045043 14.850 367 346 0.0040570 14.860 370 369 0.0040058 14.870 446 401 0.0033412 14.880 462 443 0.0032283 14.890 532 503 0.0027995 14.900 650 585 0.0022893 14.910 821 699 0.0018108 14.920 847 851 0.0017654 14.930 1140 1044 0.0013033 14.940 1304 1270 0.0011413 14.950 1512 1507 0.0009889 14.960 1640 1693 0.0009072 14.970 1554 1725 0.0009585 14.980 1466 1554 0.0010142 14.990 1180 1265 0.0012664 15.000 963 989 0.0015500 15.010 845 780 0.0017654 15.020 670 633 0.0022250 15.030 576 530 0.0025767 15.040 474 458 0.0031562 15.050 445 406 0.0033412 15.060 377 367 0.0039555 15.070 343 337 0.0043283 15.080 306 315 0.0048902 15.090 302 297 0.0048902 15.100 315 282 0.0046913 15.110 290 271 0.0051020 15.120 283 261 0.0052510 15.130 241 253 0.0062000 15.140 249 246 0.0060093 15.150 250 240 0.0059172 15.160 231 235 0.0064000 15.170 206 230 0.0071818 15.180 213 226 0.0069444 15.190 219 222 0.0068301 15.200 207 218 0.0071818 15.210 223 216 0.0066098 15.220 223 214 0.0067186 15.230 205 212 0.0073051 15.240 215 211 0.0069444 15.250 216 210 0.0068301 15.260 212 209 0.0069444 15.270 183 208 0.0081162 15.280 220 208 0.0067186 15.290 198 208 0.0074316 15.300 197 208 0.0075614 15.310 205 208 0.0071818 15.320 224 209 0.0066098 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156 155 0.0229568 37.720 152 153 0.0236686 37.730 142 149 0.0251953 37.740 137 145 0.0260146 37.750 126 141 0.0287274 37.760 148 138 0.0244141 37.770 127 135 0.0277778 37.780 126 132 0.0287274 37.790 119 130 0.0297265 37.800 129 129 0.0277778 37.810 126 127 0.0287274 37.820 137 127 0.0260146 37.830 130 126 0.0277778 37.840 128 125 0.0277778 37.850 131 125 0.0268745 37.860 126 125 0.0287274 37.870 128 126 0.0277778 37.880 116 126 0.0307787 37.890 121 127 0.0297265 37.900 125 128 0.0287274 37.910 133 130 0.0268745 37.920 132 132 0.0268745 37.930 136 134 0.0260146 37.940 134 138 0.0268745 37.950 137 142 0.0260146 37.960 140 146 0.0251953 37.970 137 151 0.0260146 37.980 156 155 0.0229568 37.990 145 158 0.0244141 38.000 162 160 0.0222767 38.010 146 161 0.0244141 38.020 151 160 0.0236686 38.030 164 157 0.0216263 38.040 141 152 0.0251953 38.050 136 147 0.0260146 38.060 141 143 0.0251953 38.070 126 139 0.0287274 38.080 125 137 0.0287274 38.090 135 135 0.0268745 38.100 126 134 0.0287274 38.110 135 133 0.0268745 38.120 131 133 0.0268745 38.130 131 133 0.0277778 38.140 132 134 0.0268745 38.150 129 135 0.0277778 38.160 121 136 0.0297265 38.170 140 137 0.0251953 38.180 133 139 0.0268745 38.190 132 141 0.0268745 38.200 127 144 0.0277778 38.210 146 147 0.0244141 38.220 145 150 0.0244141 38.230 156 154 0.0229568 38.240 158 159 0.0229568 38.250 155 164 0.0229568 38.260 170 170 0.0210040 38.270 181 177 0.0198373 38.280 179 184 0.0198373 38.290 177 191 0.0204082 38.300 185 198 0.0192901 38.310 210 205 0.0168663 38.320 197 210 0.0182615 38.330 199 214 0.0177778 38.340 201 216 0.0177778 38.350 197 217 0.0182615 38.360 211 216 0.0168663 38.370 216 213 0.0164366 38.380 215 211 0.0164366 38.390 214 209 0.0164366 38.400 204 207 0.0173130 38.410 202 207 0.0177778 38.420 221 206 0.0160231 38.430 220 207 0.0160231 38.440 207 207 0.0173130 38.450 208 208 0.0168663 38.460 219 208 0.0160231 38.470 224 208 0.0156250 38.480 216 208 0.0164366 38.490 230 208 0.0152416 38.500 210 207 0.0168663 38.510 225 208 0.0156250 38.520 233 208 0.0152416 38.530 231 208 0.0152416 38.540 228 208 0.0156250 38.550 221 208 0.0160231 38.560 207 208 0.0168663 38.570 204 207 0.0173130 38.580 211 206 0.0168663 38.590 215 205 0.0164366 38.600 206 204 0.0173130 38.610 203 204 0.0173130 38.620 201 206 0.0177778 38.630 202 210 0.0173130 38.640 203 214 0.0173130 38.650 191 218 0.0187652 38.660 184 219 0.0192901 38.670 185 216 0.0192901 38.680 181 208 0.0192901 38.690 177 198 0.0198373 38.700 186 188 0.0187652 38.710 170 179 0.0210040 38.720 169 173 0.0210040 38.730 165 167 0.0216263 38.740 150 163 0.0236686 38.750 167 161 0.0210040 38.760 161 159 0.0222767 38.770 152 158 0.0229568 38.780 153 158 0.0229568 38.790 154 159 0.0229568 38.800 163 160 0.0216263 38.810 166 163 0.0216263 38.820 179 166 0.0198373 38.830 170 170 0.0210040 38.840 180 175 0.0198373 38.850 191 181 0.0187652 38.860 184 189 0.0192901 38.870 211 199 0.0168663 38.880 219 211 0.0160231 38.890 243 226 0.0145159 38.900 277 244 0.0129132 38.910 287 264 0.0123457 38.920 312 287 0.0113173 38.930 332 311 0.0106281 38.940 354 331 0.0100000 38.950 346 346 0.0102030 38.960 348 354 0.0102030 38.970 362 354 0.0098030 38.980 341 347 0.0104123 38.990 324 332 0.0108507 39.000 299 311 0.0118147 39.010 296 290 0.0120758 39.020 285 270 0.0123457 39.030 275 253 0.0129132 39.040 269 240 0.0132118 39.050 244 230 0.0145159 39.060 243 223 0.0145159 39.070 236 216 0.0148721 39.080 246 211 0.0145159 39.090 219 206 0.0160231 39.100 209 201 0.0168663 39.110 209 196 0.0168663 39.120 184 190 0.0192901 39.130 189 185 0.0187652 39.140 181 180 0.0192901 39.150 180 175 0.0198373 39.160 176 171 0.0198373 39.170 175 167 0.0204082 39.180 174 164 0.0204082 39.190 161 162 0.0222767 39.200 177 160 0.0198373 39.210 169 159 0.0210040 39.220 161 159 0.0222767 39.230 160 160 0.0222767 39.240 149 160 0.0236686 39.250 163 161 0.0216263 39.260 156 160 0.0229568 39.270 156 158 0.0222767 39.280 154 155 0.0229568 39.290 149 151 0.0236686 39.300 151 147 0.0236686 39.310 144 143 0.0244141 39.320 129 140 0.0277778 39.330 145 138 0.0244141 39.340 134 136 0.0260146 39.350 137 134 0.0260146 39.360 137 133 0.0260146 39.370 131 132 0.0268745 39.380 143 132 0.0244141 39.390 124 131 0.0287274 39.400 144 131 0.0244141 39.410 127 131 0.0277778 39.420 133 132 0.0260146 39.430 130 132 0.0268745 39.440 137 133 0.0260146 39.450 128 134 0.0277778 39.460 125 136 0.0277778 39.470 140 138 0.0251953 39.480 136 140 0.0260146 39.490 136 143 0.0260146 39.500 154 146 0.0229568 39.510 148 150 0.0236686 39.520 172 155 0.0204082 39.530 173 161 0.0204082 39.540 165 168 0.0210040 39.550 165 176 0.0210040 39.560 184 185 0.0187652 39.570 186 194 0.0187652 39.580 208 203 0.0168663 39.590 202 212 0.0173130 39.600 205 218 0.0168663 39.610 208 221 0.0168663 39.620 193 219 0.0182615 39.630 201 215 0.0173130 39.640 200 208 0.0173130 39.650 196 199 0.0177778 39.660 193 190 0.0182615 39.670 172 182 0.0204082 39.680 156 175 0.0222767 39.690 165 168 0.0210040 39.700 168 163 0.0210040 39.710 157 159 0.0222767 39.720 151 156 0.0229568 39.730 154 154 0.0222767 39.740 147 153 0.0236686 39.750 150 152 0.0229568 39.760 170 152 0.0204082 39.770 154 153 0.0222767 39.780 156 154 0.0222767 39.790 156 156 0.0222767 39.800 161 159 0.0216263 39.810 171 162 0.0204082 39.820 167 166 0.0210040 39.830 174 171 0.0198373 39.840 200 178 0.0173130 39.850 182 185 0.0187652 39.860 201 194 0.0173130 39.870 205 205 0.0168663 39.880 227 218 0.0152416 39.890 249 232 0.0138408 39.900 245 246 0.0141723 39.910 232 256 0.0148721 39.920 218 260 0.0160231 39.930 236 255 0.0145159 39.940 209 243 0.0164366 39.950 198 227 0.0173130 39.960 184 210 0.0187652 39.970 180 195 0.0192901 39.980 191 182 0.0182615 39.990 164 171 0.0210040 40.000 178 163 0.0192901 40.010 165 156 0.0210040 40.020 159 150 0.0216263 40.030 154 146 0.0222767 40.040 144 142 0.0244141 40.050 149 139 0.0229568 40.060 143 136 0.0244141 40.070 136 135 0.0251953 40.080 135 133 0.0260146 40.090 124 132 0.0277778 40.100 139 131 0.0251953 40.110 129 131 0.0268745 40.120 122 131 0.0287274 40.130 135 131 0.0260146 40.140 127 132 0.0268745 40.150 131 133 0.0260146 40.160 145 134 0.0236686 40.170 125 136 0.0277778 40.180 137 137 0.0251953 40.190 140 139 0.0244141 40.200 129 139 0.0268745 40.210 137 139 0.0251953 40.220 122 139 0.0287274 40.230 123 139 0.0277778 40.240 140 139 0.0244141 40.250 141 140 0.0244141 40.260 147 140 0.0236686 40.270 148 142 0.0236686 40.280 142 144 0.0244141 40.290 140 146 0.0244141 40.300 149 148 0.0229568 40.310 145 151 0.0236686 40.320 158 154 0.0216263 40.330 162 158 0.0216263 40.340 167 162 0.0210040 40.350 171 165 0.0204082 40.360 174 170 0.0198373 40.370 176 174 0.0198373 40.380 188 179 0.0182615 40.390 178 183 0.0192901 40.400 193 188 0.0177778 40.410 191 192 0.0182615 40.420 192 195 0.0182615 40.430 198 197 0.0177778 40.440 192 197 0.0182615 40.450 208 196 0.0168663 40.460 186 193 0.0187652 40.470 185 190 0.0187652 40.480 170 186 0.0204082 40.490 182 181 0.0192901 40.500 172 176 0.0204082 40.510 172 172 0.0204082 40.520 165 168 0.0210040 40.530 159 164 0.0216263 40.540 154 161 0.0222767 40.550 159 159 0.0216263 40.560 142 157 0.0244141 40.570 155 156 0.0222767 40.580 151 156 0.0229568 40.590 151 156 0.0229568 40.600 143 156 0.0244141 40.610 157 158 0.0222767 40.620 153 159 0.0229568 40.630 164 162 0.0210040 40.640 162 165 0.0216263 40.650 159 169 0.0216263 40.660 186 173 0.0187652 40.670 177 178 0.0198373 40.680 186 183 0.0187652 40.690 193 189 0.0177778 40.700 198 195 0.0173130 40.710 203 200 0.0168663 40.720 207 205 0.0168663 40.730 215 208 0.0160231 40.740 210 210 0.0164366 40.750 204 211 0.0168663 40.760 211 210 0.0164366 40.770 208 207 0.0164366 40.780 221 203 0.0156250 40.790 216 198 0.0160231 40.800 192 192 0.0177778 40.810 185 186 0.0187652 40.820 179 180 0.0192901 40.830 180 175 0.0192901 40.840 167 169 0.0210040 40.850 152 164 0.0229568 40.860 165 159 0.0210040 40.870 152 155 0.0229568 40.880 140 151 0.0244141 40.890 151 148 0.0229568 40.900 142 145 0.0244141 40.910 126 143 0.0268745 40.920 135 141 0.0251953 40.930 145 139 0.0236686 40.940 129 138 0.0268745 40.950 152 138 0.0229568 40.960 131 137 0.0260146 40.970 133 138 0.0260146 40.980 133 138 0.0260146 40.990 141 140 0.0244141 41.000 149 141 0.0229568 41.010 131 144 0.0260146 41.020 145 147 0.0236686 41.030 151 151 0.0229568 41.040 156 157 0.0222767 41.050 169 164 0.0204082 41.060 171 173 0.0198373 41.070 192 183 0.0177778 41.080 199 195 0.0173130 41.090 202 208 0.0168663 41.100 216 219 0.0156250 41.110 223 227 0.0152416 41.120 221 229 0.0152416 41.130 215 226 0.0160231 41.140 213 219 0.0160231 41.150 189 210 0.0182615 41.160 194 201 0.0173130 41.170 191 191 0.0177778 41.180 168 182 0.0204082 41.190 164 173 0.0204082 41.200 164 165 0.0204082 41.210 158 159 0.0216263 41.220 140 153 0.0244141 41.230 163 148 0.0210040 41.240 147 144 0.0229568 41.250 143 141 0.0236686 41.260 132 138 0.0260146 41.270 144 137 0.0236686 41.280 134 135 0.0251953 41.290 133 135 0.0251953 41.300 134 134 0.0251953 41.310 132 135 0.0251953 41.320 120 136 0.0277778 41.330 140 137 0.0244141 41.340 159 139 0.0210040 41.350 134 141 0.0251953 41.360 156 144 0.0216263 41.370 151 147 0.0222767 41.380 151 151 0.0222767 41.390 162 156 0.0210040 41.400 156 162 0.0216263 41.410 169 167 0.0198373 41.420 187 173 0.0177778 41.430 167 177 0.0204082 41.440 184 181 0.0182615 41.450 182 182 0.0182615 41.460 177 180 0.0187652 41.470 167 177 0.0204082 41.480 160 172 0.0210040 41.490 162 166 0.0210040 41.500 164 160 0.0204082 41.510 168 155 0.0198373 41.520 143 150 0.0236686 41.530 151 146 0.0222767 41.540 148 142 0.0229568 41.550 142 140 0.0236686 41.560 141 137 0.0236686 41.570 149 136 0.0229568 41.580 149 135 0.0222767 41.590 141 135 0.0236686 41.600 145 135 0.0229568 41.610 136 136 0.0244141 41.620 147 138 0.0229568 41.630 147 140 0.0229568 41.640 147 143 0.0229568 41.650 155 147 0.0216263 41.660 165 152 0.0204082 41.670 177 159 0.0192901 41.680 167 167 0.0204082 41.690 177 176 0.0192901 41.700 177 186 0.0192901 41.710 184 196 0.0182615 41.720 207 203 0.0164366 41.730 191 208 0.0177778 41.740 198 210 0.0168663 41.750 187 208 0.0182615 41.760 188 201 0.0177778 41.770 165 192 0.0204082 41.780 175 181 0.0192901 41.790 154 171 0.0216263 41.800 154 162 0.0222767 41.810 149 154 0.0229568 41.820 153 147 0.0222767 41.830 134 142 0.0251953 41.840 132 138 0.0251953 41.850 140 135 0.0244141 41.860 141 133 0.0236686 41.870 145 132 0.0229568 41.880 136 131 0.0251953 41.890 131 131 0.0260146 41.900 133 132 0.0251953 41.910 133 133 0.0251953 41.920 155 135 0.0216263 41.930 142 136 0.0236686 41.940 160 138 0.0210040 41.950 151 139 0.0222767 41.960 156 140 0.0216263 41.970 138 140 0.0244141 41.980 162 140 0.0210040 41.990 154 140 0.0222767 42.000 151 140 0.0222767 42.010 155 139 0.0216263 42.020 146 139 0.0229568 42.030 147 138 0.0229568 42.040 136 137 0.0251953 42.050 138 135 0.0244141 42.060 144 134 0.0236686 42.070 132 132 0.0260146 42.080 138 131 0.0244141 42.090 133 130 0.0251953 42.100 127 129 0.0268745 42.110 138 128 0.0244141 42.120 128 127 0.0268745 42.130 117 127 0.0287274 42.140 136 127 0.0251953 42.150 134 126 0.0251953 42.160 123 126 0.0277778 42.170 121 126 0.0277778 42.180 136 127 0.0251953 42.190 127 127 0.0268745 42.200 125 128 0.0268745 42.210 129 129 0.0260146 42.220 129 130 0.0260146 42.230 135 132 0.0251953 42.240 126 134 0.0268745 42.250 132 136 0.0251953 42.260 144 139 0.0236686 42.270 159 142 0.0210040 42.280 146 146 0.0229568 42.290 161 150 0.0210040 42.300 142 155 0.0236686 42.310 161 160 0.0210040 42.320 152 164 0.0222767 42.330 157 167 0.0216263 42.340 157 168 0.0216263 42.350 157 167 0.0216263 42.360 159 164 0.0210040 42.370 144 160 0.0236686 42.380 154 155 0.0216263 42.390 140 149 0.0236686 42.400 144 145 0.0229568 42.410 126 140 0.0268745 42.420 141 137 0.0236686 42.430 140 134 0.0236686 42.440 130 131 0.0260146 42.450 132 129 0.0251953 42.460 133 128 0.0251953 42.470 131 127 0.0251953 42.480 121 126 0.0277778 42.490 126 126 0.0268745 42.500 140 126 0.0236686 42.510 126 127 0.0268745 42.520 134 128 0.0251953 42.530 147 129 0.0229568 42.540 142 130 0.0236686 42.550 141 132 0.0236686 42.560 150 133 0.0222767 42.570 141 135 0.0236686 42.580 142 136 0.0236686 42.590 154 137 0.0216263 42.600 139 138 0.0244141 42.610 150 138 0.0222767 42.620 154 138 0.0216263 42.630 142 137 0.0236686 42.640 140 136 0.0236686 42.650 145 134 0.0229568 42.660 138 132 0.0244141 42.670 134 131 0.0244141 42.680 135 129 0.0244141 42.690 134 128 0.0251953 42.700 126 127 0.0260146 42.710 126 126 0.0260146 42.720 121 126 0.0277778 42.730 125 125 0.0260146 42.740 126 125 0.0260146 42.750 130 125 0.0251953 42.760 131 126 0.0251953 42.770 129 127 0.0260146 42.780 134 128 0.0244141 42.790 132 130 0.0251953 42.800 133 132 0.0251953 42.810 134 135 0.0244141 42.820 142 139 0.0229568 42.830 150 145 0.0222767 42.840 161 152 0.0204082 42.850 162 161 0.0204082 42.860 174 171 0.0187652 42.870 195 183 0.0168663 42.880 181 194 0.0182615 42.890 184 202 0.0177778 42.900 187 204 0.0177778 42.910 196 200 0.0168663 42.920 183 192 0.0182615 42.930 173 182 0.0192901 42.940 175 174 0.0187652 42.950 170 167 0.0192901 42.960 163 162 0.0204082 42.970 160 159 0.0204082 42.980 174 157 0.0187652 42.990 163 157 0.0204082 43.000 157 157 0.0210040 43.010 151 159 0.0216263 43.020 159 161 0.0210040 43.030 158 163 0.0210040 43.040 155 167 0.0210040 43.050 162 172 0.0204082 43.060 176 178 0.0187652 43.070 187 186 0.0177778 43.080 184 196 0.0177778 43.090 193 208 0.0173130 43.100 212 219 0.0156250 43.110 218 229 0.0152416 43.120 226 232 0.0145159 43.130 214 228 0.0152416 43.140 193 218 0.0168663 43.150 191 203 0.0173130 43.160 180 188 0.0182615 43.170 162 175 0.0204082 43.180 148 163 0.0222767 43.190 146 154 0.0222767 43.200 148 146 0.0222767 43.210 139 140 0.0236686 43.220 134 136 0.0244141 43.230 126 132 0.0260146 43.240 127 129 0.0260146 43.250 129 127 0.0251953 43.260 136 125 0.0244141 43.270 132 124 0.0251953 43.280 132 123 0.0251953 43.290 120 122 0.0277778 43.300 115 122 0.0287274 43.310 121 122 0.0277778 43.320 118 123 0.0277778 43.330 122 123 0.0268745 43.340 121 124 0.0268745 43.350 117 125 0.0287274 43.360 133 127 0.0251953 43.370 126 128 0.0260146 43.380 130 130 0.0251953 43.390 134 132 0.0244141 43.400 146 134 0.0229568 43.410 136 136 0.0244141 43.420 149 137 0.0222767 43.430 135 139 0.0244141 43.440 138 142 0.0236686 43.450 146 144 0.0229568 43.460 154 145 0.0216263 43.470 146 147 0.0229568 43.480 145 146 0.0229568 43.490 146 145 0.0229568 43.500 141 142 0.0236686 43.510 142 139 0.0229568 43.520 136 136 0.0244141 43.530 143 133 0.0229568 43.540 124 130 0.0268745 43.550 133 128 0.0251953 43.560 125 127 0.0268745 43.570 119 125 0.0277778 43.580 113 124 0.0297265 43.590 135 124 0.0244141 43.600 133 124 0.0251953 43.610 133 124 0.0251953 43.620 119 125 0.0277778 43.630 133 126 0.0251953 43.640 123 127 0.0268745 43.650 119 129 0.0277778 43.660 143 132 0.0229568 43.670 135 135 0.0244141 43.680 141 139 0.0236686 43.690 150 143 0.0222767 43.700 151 148 0.0216263 43.710 170 154 0.0192901 43.720 167 162 0.0198373 43.730 177 170 0.0187652 43.740 189 179 0.0173130 43.750 190 189 0.0173130 43.760 187 197 0.0177778 43.770 203 203 0.0164366 43.780 196 206 0.0168663 43.790 183 205 0.0177778 43.800 193 202 0.0168663 43.810 197 198 0.0168663 43.820 180 193 0.0182615 43.830 185 187 0.0177778 43.840 170 181 0.0192901 43.850 180 175 0.0182615 43.860 155 169 0.0210040 43.870 168 164 0.0192901 43.880 150 159 0.0216263 43.890 143 155 0.0229568 43.900 147 151 0.0222767 43.910 144 147 0.0229568 43.920 146 144 0.0222767 43.930 133 141 0.0244141 43.940 136 138 0.0244141 43.950 140 135 0.0236686 43.960 130 132 0.0251953 43.970 130 130 0.0251953 43.980 129 128 0.0251953 43.990 126 126 0.0260146 44.000 121 124 0.0268745 44.010 113 122 0.0287274 44.020 117 120 0.0277778 44.030 115 118 0.0287274 44.040 127 117 0.0260146 44.050 109 115 0.0297265 44.060 111 114 0.0287274 44.070 107 113 0.0307787 44.080 108 112 0.0297265 44.090 99 111 0.0330579 44.100 96 110 0.0342936 44.110 103 109 0.0318878 44.120 97 108 0.0330579 44.130 103 107 0.0318878 44.140 107 107 0.0307787 44.150 114 106 0.0287274 44.160 98 106 0.0330579 44.170 107 106 0.0307787 44.180 111 106 0.0287274 44.190 109 106 0.0297265 44.200 107 106 0.0307787 44.210 108 106 0.0297265 44.220 106 106 0.0307787 44.230 112 106 0.0287274 44.240 113 106 0.0287274 44.250 96 107 0.0342936 44.260 106 107 0.0307787 44.270 110 107 0.0297265 44.280 121 108 0.0268745 44.290 122 108 0.0268745 44.300 104 108 0.0307787 44.310 110 109 0.0297265 44.320 111 109 0.0287274 44.330 121 110 0.0268745 44.340 100 111 0.0330579 44.350 109 111 0.0297265 44.360 106 112 0.0307787 44.370 121 113 0.0268745 44.380 126 115 0.0260146 44.390 131 116 0.0244141 44.400 126 117 0.0260146 44.410 130 119 0.0251953 44.420 132 121 0.0244141 44.430 127 122 0.0251953 44.440 134 124 0.0244141 44.450 131 125 0.0244141 44.460 137 126 0.0236686 44.470 126 127 0.0260146 44.480 133 128 0.0244141 44.490 126 128 0.0260146 44.500 136 129 0.0236686 44.510 142 129 0.0229568 44.520 135 130 0.0244141 44.530 126 130 0.0260146 44.540 142 131 0.0229568 44.550 131 132 0.0244141 44.560 152 133 0.0216263 44.570 130 133 0.0251953 44.580 134 134 0.0244141 44.590 150 135 0.0216263 44.600 142 136 0.0229568 44.610 130 138 0.0251953 44.620 132 138 0.0244141 44.630 127 137 0.0251953 44.640 120 133 0.0268745 44.650 114 128 0.0287274 44.660 118 124 0.0277778 44.670 110 120 0.0297265 44.680 115 118 0.0277778 44.690 124 116 0.0260146 44.700 115 114 0.0277778 44.710 116 114 0.0277778 44.720 122 114 0.0268745 44.730 119 114 0.0268745 44.740 115 115 0.0277778 44.750 121 116 0.0268745 44.760 129 118 0.0251953 44.770 125 121 0.0260146 44.780 130 124 0.0251953 44.790 132 128 0.0244141 44.800 146 133 0.0222767 44.810 138 138 0.0236686 44.820 148 144 0.0216263 44.830 156 149 0.0204082 44.840 158 152 0.0204082 44.850 154 153 0.0210040 44.860 142 153 0.0229568 44.870 144 151 0.0222767 44.880 158 149 0.0204082 44.890 154 148 0.0210040 44.900 136 147 0.0236686 44.910 144 146 0.0222767 44.920 129 145 0.0251953 44.930 145 144 0.0222767 44.940 126 142 0.0251953 44.950 140 140 0.0229568 44.960 125 137 0.0260146 44.970 124 133 0.0260146 44.980 130 130 0.0244141 44.990 119 126 0.0268745 45.000 129 123 0.0251953 #===END data_As100 # 5. CHEMICAL DATA _chemical_name_common 'calcium arsenic phosphorus hydroxylapatite' _chemical_formula_structural 'Ca5 (As O4)3 OH' _chemical_formula_sum 'As3 Ca5 H O13' _chemical_formula_weight 634.1 loop_ _atom_type_symbol _atom_type_description _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source _atom_type_scat_length_neutron # include if applicable ? ? ? ? ? ? #============================================================================== # 6. POWDER SPECIMEN AND CRYSTAL DATA _space_group_crystal_system hexagonal _space_group_name_H-M_alt 'P63/m' loop_ _symmetry_equiv_pos_site_id _symmetry_equiv_pos_as_xyz #<--must include 'x,y,z' 1 '-x, -y, -z' 2 '-x, -y, z+1/2' 3 '-x+y, -x, -z+1/2' 4 '-x+y, -x, z' 5 '-y, x-y, -z+1/2' 6 '-y, x-y, z' 7 'y, -x+y, -z' 8 'y, -x+y, z+1/2' 9 'x-y, x, -z' 10 'x-y, x, z+1/2' 11 'x, y, -z+1/2' 12 'x, y, z' _cell_length_a 9.7156(3) _cell_length_b 9.7156(3) _cell_length_c 6.9857(2) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 571.06(3) _cell_measurement_temperature 293 _cell_special_details ; ? ; # The next three fields give the specimen dimensions in mm. The equatorial # plane contains the incident and diffracted beam. _pd_spec_size_axial 8 # perpendicular to # equatorial plane _pd_spec_size_equat 1 # parallel to # scattering vector # in transmission _pd_spec_size_thick 1 # parallel to # scattering vector # in reflection # The next five fields are character fields that describe the specimen. _pd_spec_mounting # This field should be # used to give details of the # container. ; glass capillary(nominal diameter 1mm) ; _pd_spec_mount_mode transmission # options are 'reflection' # or 'transmission' _pd_spec_shape cylinder # options are 'cylinder' # 'flat_sheet' or 'irregular' _pd_char_particle_morphology ? _pd_char_colour white # use ICDD colour descriptions # The next four fields are normally only needed for transmission experiments. _exptl_absorpt_correction_type none # include if applicable #============================================================================== # 7. EXPERIMENTAL DATA _exptl_special_details ; ? ; _pd_instr_location ; X16C, National Synchrotron Light Source, Brookhaven National Laboratory ; _pd_calibration_special_details # description of the method used # to calibrate the instrument ; NIST standard reference material 1976(sintered plate of Al2O3) 7 isolated reflections were used to calibrate wavelength and detector zero. ; _diffrn_ambient_temperature 293 _diffrn_source synchrotron _diffrn_source_target ? _diffrn_source_type ? _diffrn_radiation_type synchrotron _diffrn_measurement_device_type 'Huber diffractometer' _diffrn_detector 'NaI scintillation counter' _diffrn_detector_type ? # make or model of detector _pd_meas_scan_method step # options are 'step', 'cont', # 'tof', 'fixed' or # 'disp' (= dispersive) _pd_meas_special_details ; ? ; # The following six items are used for angular dispersive measurements only. _diffrn_radiation_wavelength 0.69707 _diffrn_radiation_monochromator 'Si(111) double reflection monochromator' # The following four items give details of the measured (not processed) # powder pattern. Angles are in degrees. _pd_meas_number_of_points 4301 _pd_meas_2theta_range_min 2.00 _pd_meas_2theta_range_max 45.00 _pd_meas_2theta_range_inc .01 #============================================================================== # 8. REFINEMENT DATA # Use the next field to give any special details about the fitting of the # powder pattern. _pd_proc_ls_special_details ; Rietveld refinement of all structural parameters. H atom omitted One common thermal parameter for all atoms ; # The next three items are given as text. _pd_proc_ls_profile_function ; Simple_Axial_Model function in TOPAS Anisotropic strain broadening 3 parameters refined ; _pd_proc_ls_background_function ; Chebyshev polynomial of 7th order plus 1/2theta ; _pd_proc_ls_pref_orient_corr 'none' _pd_proc_ls_prof_R_factor 0.06490 _pd_proc_ls_prof_wR_factor 0.07054 _pd_proc_ls_prof_wR_expected 0.03429 _refine_ls_R_I_factor ? _refine_ls_R_Fsqd_factor ? _refine_ls_R_factor_all ? _refine_special_details ; ? ; _refine_ls_matrix_type ? _refine_ls_weighting_scheme sigma # options are 'sigma' (based on measured su's) # or 'calc' (calculated weights) _refine_ls_weighting_details '1/(sigma*sigma)' _refine_ls_hydrogen_treatment none _refine_ls_extinction_method 'none' _refine_ls_extinction_coef ? _refine_ls_number_parameters 34 _refine_ls_number_restraints ? _refine_ls_number_constraints ? # The following item is the same as CHI, the square root of 'CHI squared' _refine_ls_goodness_of_fit_all 2.057 _refine_ls_restrained_S_all ? _refine_ls_shift/su_max ? _refine_ls_shift/su_mean ? # The following four items apply to angular dispersive measurements. # 2theta minimum, maximum and increment (in degrees) are for the # intensities used in the refinement. _pd_proc_2theta_range_min 2.0 _pd_proc_2theta_range_max 45.00 _pd_proc_2theta_range_inc 0.01 _pd_proc_wavelength 0.69707 # Each refinement must be accompanied by a listing of the powder data # in CIF format. Each listing should be sent as a separate file consisting # of one data block containing a single powder profile. The value of # _pd_block_diffractogram_id is used to associate each refinement with # its corresponding powder profile, since it must match the value # of _pd_block_id in the file containing the powder data. A template # for supplying powder data in CIF format is available by ftp at # ftp://ftp.iucr.org/pub/rietdataform.cif and an example is given # at ftp://ftp.iucr.org/pub/rietdataxmpl.cif. _pd_block_diffractogram_id HAP_As100_profile # Give appropriate details in the next two text fields. _pd_proc_info_excluded_regions 'none' _pd_proc_info_data_reduction ? # The following items are used to identify the programs used. _computing_data_collection SPEC _computing_cell_refinement TOPAS _computing_data_reduction ? _computing_structure_solution ? _computing_structure_refinement TOPAS _computing_molecular_graphics ? _computing_publication_material ? #============================================================================== # 9. ATOMIC COORDINATES AND DISPLACEMENT PARAMETERS loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_B_iso_or_equiv O1 O 6 0.31975(92) 0.49033(82) 0.25 1 1.271(22) O2 O 6 0.59742(87) 0.46823(87) 0.25 1 1.271(22) O3 O 12 0.33588(66) 0.24509(63) 0.05623(73) 1 1.271(22) As1 As 6 0.39816(15) 0.37008(14) 0.25 1 1.271(22) Ca1 Ca 4 0.3333333 0.6666667 0.00267(59) 1 1.271(22) Ca2 Ca 6 0.24746(29) 0.99831(33) 0.25 1 1.271(22) O4 O 4 0 0 0.1919(18) 0.593(12) 1.271(22) # Note: if the displacement parameters were refined anisotropically # the U matrices should be given as for single-crystal studies. loop_ _atom_site_aniso_label _atom_site_aniso_U_11 _atom_site_aniso_U_22 _atom_site_aniso_U_33 _atom_site_aniso_U_12 _atom_site_aniso_U_13 _atom_site_aniso_U_23 _atom_site_aniso_type_symbol ? ? ? ? ? ? ? ? #============================================================================== ############################################################################## ### CIF submission form for powder diffraction data (IUCr journals) ### ### Version 11 February 2005 ### ############################################################################## # This is an electronic "form" for submitting powder diffraction data in CIF # format to an IUCr journal. The data for each powder profile should be sent # as a separate file consisting of one data block. The value of _pd_block_id # is used to associate each powder profile with a Rietveld refinement, since # it must match the value of _pd_block_diffractogram_id in the CIF used to # report the results of the refinement. The current version of the powder # CIF dictionary, which contains definitions of the terms starting _pd_, # may be obtained from http://www.iucr.org/iucr-top/cif/pd/index.html. # Note that the query marks '?' are significant as placeholders, and should # not be deleted where a data item is not given, UNLESS the accompanying data # name is also deleted. Lines should not exceed 80 characters in length. The # comments following a hash symbol '#' may be deleted if wished. data_HAP_As100_pattern _pd_block_id HAP_As100_pattern loop_ _pd_proc_2theta_corrected _pd_proc_intensity_net _pd_calc_intensity_net _pd_proc_ls_weight 2.000 456 471 0.0026031 2.010 468 469 0.0025252 2.020 447 466 0.0026298 2.030 462 464 0.0025508 2.040 451 462 0.0026298 2.050 470 460 0.0025000 2.060 448 458 0.0026298 2.070 464 455 0.0025508 2.080 424 453 0.0027995 2.090 493 451 0.0024029 2.100 456 449 0.0025767 2.110 442 447 0.0026570 2.120 439 445 0.0026846 2.130 421 443 0.0027995 2.140 400 441 0.0029537 2.150 442 439 0.0026846 2.160 432 437 0.0027412 2.170 434 435 0.0027127 2.180 460 433 0.0025767 2.190 409 431 0.0028905 2.200 449 429 0.0026298 2.210 452 428 0.0026031 2.220 401 426 0.0029537 2.230 409 424 0.0028905 2.240 434 422 0.0027127 2.250 419 420 0.0028293 2.260 413 419 0.0028597 2.270 423 417 0.0027995 2.280 386 415 0.0030524 2.290 418 413 0.0028293 2.300 450 412 0.0026298 2.310 436 410 0.0027127 2.320 403 408 0.0029218 2.330 404 407 0.0029218 2.340 410 405 0.0028905 2.350 427 403 0.0027701 2.360 359 402 0.0032653 2.370 394 400 0.0029861 2.380 398 398 0.0029537 2.390 388 397 0.0030524 2.400 375 395 0.0031562 2.410 378 394 0.0031210 2.420 406 392 0.0028905 2.430 399 391 0.0029537 2.440 419 389 0.0028293 2.450 387 388 0.0030524 2.460 390 386 0.0030190 2.470 374 385 0.0031562 2.480 379 383 0.0031210 2.490 377 382 0.0031210 2.500 379 380 0.0031210 2.510 378 379 0.0031210 2.520 355 378 0.0033412 2.530 392 376 0.0030190 2.540 349 375 0.0033802 2.550 381 373 0.0030864 2.560 355 372 0.0033412 2.570 374 371 0.0031562 2.580 346 369 0.0034199 2.590 336 368 0.0035013 2.600 360 367 0.0032653 2.610 351 365 0.0033412 2.620 371 364 0.0031919 2.630 389 363 0.0030190 2.640 372 362 0.0031562 2.650 378 360 0.0031210 2.660 345 359 0.0034199 2.670 347 358 0.0033802 2.680 378 357 0.0031210 2.690 346 355 0.0034199 2.700 360 354 0.0032653 2.710 347 353 0.0033802 2.720 332 352 0.0035431 2.730 381 351 0.0030864 2.740 360 349 0.0032653 2.750 353 348 0.0033412 2.760 354 347 0.0033412 2.770 349 346 0.0033802 2.780 370 345 0.0031919 2.790 305 344 0.0038579 2.800 324 343 0.0036290 2.810 372 342 0.0031562 2.820 317 340 0.0037180 2.830 346 339 0.0034199 2.840 356 338 0.0033029 2.850 336 337 0.0035013 2.860 332 336 0.0035431 2.870 317 335 0.0037180 2.880 317 334 0.0037180 2.890 356 333 0.0033029 2.900 307 332 0.0038104 2.910 305 331 0.0038579 2.920 333 330 0.0035431 2.930 335 329 0.0035013 2.940 332 328 0.0035431 2.950 317 327 0.0037180 2.960 374 326 0.0031562 2.970 294 325 0.0040058 2.980 299 324 0.0039555 2.990 317 323 0.0037180 3.000 302 322 0.0039063 3.010 282 321 0.0041623 3.020 313 320 0.0037638 3.030 327 319 0.0035856 3.040 331 318 0.0035431 3.050 330 317 0.0035856 3.060 273 316 0.0042719 3.070 340 315 0.0034602 3.080 319 315 0.0036731 3.090 342 314 0.0034199 3.100 282 313 0.0041623 3.110 304 312 0.0038579 3.120 304 311 0.0038579 3.130 307 310 0.0038104 3.140 306 309 0.0038579 3.150 291 308 0.0040570 3.160 301 308 0.0039063 3.170 296 307 0.0039555 3.180 324 306 0.0036290 3.190 311 305 0.0037638 3.200 306 304 0.0038579 3.210 307 303 0.0038104 3.220 307 303 0.0038104 3.230 289 302 0.0040570 3.240 313 301 0.0037638 3.250 298 300 0.0039555 3.260 339 299 0.0034602 3.270 298 299 0.0039555 3.280 277 298 0.0042166 3.290 299 297 0.0039063 3.300 298 296 0.0039555 3.310 294 295 0.0040058 3.320 308 295 0.0038104 3.330 282 294 0.0041623 3.340 318 293 0.0036731 3.350 284 292 0.0041091 3.360 314 292 0.0037180 3.370 296 291 0.0039555 3.380 305 290 0.0038579 3.390 289 289 0.0040570 3.400 289 289 0.0040570 3.410 269 288 0.0043283 3.420 287 287 0.0040570 3.430 280 287 0.0041623 3.440 297 286 0.0039555 3.450 273 285 0.0042719 3.460 305 285 0.0038579 3.470 295 284 0.0039555 3.480 274 283 0.0042719 3.490 258 282 0.0045043 3.500 293 282 0.0040058 3.510 278 281 0.0042166 3.520 273 280 0.0042719 3.530 257 280 0.0045654 3.540 285 279 0.0041091 3.550 290 278 0.0040570 3.560 251 278 0.0046277 3.570 256 277 0.0045654 3.580 258 277 0.0045654 3.590 279 276 0.0042166 3.600 268 275 0.0043858 3.610 262 275 0.0044444 3.620 300 274 0.0039063 3.630 275 273 0.0042719 3.640 297 273 0.0039555 3.650 236 272 0.0049593 3.660 306 272 0.0038104 3.670 237 271 0.0049593 3.680 248 270 0.0046913 3.690 272 270 0.0042719 3.700 303 269 0.0038579 3.710 227 269 0.0051757 3.720 259 268 0.0045043 3.730 265 267 0.0043858 3.740 287 267 0.0040570 3.750 280 266 0.0041623 3.760 280 266 0.0041623 3.770 297 265 0.0039063 3.780 275 265 0.0042166 3.790 283 264 0.0041091 3.800 278 263 0.0042166 3.810 241 263 0.0048225 3.820 249 262 0.0046913 3.830 266 262 0.0043858 3.840 287 261 0.0040570 3.850 255 261 0.0045654 3.860 253 260 0.0046277 3.870 252 260 0.0046277 3.880 261 259 0.0044444 3.890 259 259 0.0045043 3.900 267 258 0.0043858 3.910 265 258 0.0043858 3.920 275 257 0.0042166 3.930 289 257 0.0040058 3.940 252 256 0.0046277 3.950 243 256 0.0048225 3.960 266 255 0.0043858 3.970 266 255 0.0043858 3.980 265 254 0.0043858 3.990 241 254 0.0048225 4.000 240 253 0.0048225 4.010 250 253 0.0046277 4.020 267 252 0.0043858 4.030 247 252 0.0046913 4.040 283 251 0.0041091 4.050 245 251 0.0047562 4.060 296 250 0.0039063 4.070 260 250 0.0045043 4.080 242 249 0.0048225 4.090 256 249 0.0045654 4.100 268 248 0.0043283 4.110 267 248 0.0043283 4.120 237 247 0.0048902 4.130 286 247 0.0040570 4.140 251 247 0.0046277 4.150 231 246 0.0050299 4.160 264 246 0.0043858 4.170 276 245 0.0042166 4.180 251 245 0.0046277 4.190 252 244 0.0046277 4.200 256 244 0.0045654 4.210 249 244 0.0046913 4.220 252 243 0.0046277 4.230 261 243 0.0044444 4.240 226 243 0.0051020 4.250 227 242 0.0051020 4.260 264 242 0.0043858 4.270 252 242 0.0046277 4.280 266 241 0.0043858 4.290 245 241 0.0047562 4.300 246 241 0.0047562 4.310 240 240 0.0048225 4.320 252 240 0.0046277 4.330 261 240 0.0044444 4.340 260 240 0.0044444 4.350 247 240 0.0046913 4.360 269 240 0.0043283 4.370 236 240 0.0048902 4.380 251 240 0.0046277 4.390 278 240 0.0041623 4.400 242 240 0.0047562 4.410 271 241 0.0042719 4.420 270 241 0.0042719 4.430 293 242 0.0039555 4.440 274 244 0.0042166 4.450 286 247 0.0040570 4.460 253 251 0.0045654 4.470 282 255 0.0041091 4.480 260 259 0.0044444 4.490 297 264 0.0039063 4.500 295 269 0.0039063 4.510 285 275 0.0040570 4.520 310 281 0.0037180 4.530 309 287 0.0037638 4.540 278 294 0.0041623 4.550 317 302 0.0036731 4.560 327 310 0.0035431 4.570 358 319 0.0032283 4.580 373 329 0.0030864 4.590 360 340 0.0032283 4.600 399 352 0.0028905 4.610 415 365 0.0027995 4.620 421 380 0.0027412 4.630 412 397 0.0027995 4.640 450 416 0.0025767 4.650 484 438 0.0023795 4.660 521 464 0.0022250 4.670 539 495 0.0021433 4.680 511 532 0.0022676 4.690 639 579 0.0018108 4.700 653 640 0.0017654 4.710 715 721 0.0016129 4.720 739 835 0.0015623 4.730 955 990 0.0012140 4.740 925 1087 0.0012486 4.750 693 811 0.0016660 4.760 457 503 0.0025252 4.770 374 373 0.0030864 4.780 345 316 0.0033412 4.790 302 286 0.0038104 4.800 305 269 0.0037638 4.810 267 257 0.0043283 4.820 266 250 0.0043283 4.830 274 244 0.0042166 4.840 285 240 0.0040570 4.850 256 237 0.0045043 4.860 278 234 0.0041623 4.870 258 232 0.0045043 4.880 273 231 0.0042166 4.890 216 229 0.0053279 4.900 233 228 0.0049593 4.910 246 227 0.0046913 4.920 248 226 0.0046913 4.930 237 225 0.0048902 4.940 222 224 0.0051757 4.950 221 223 0.0052510 4.960 225 223 0.0051020 4.970 233 222 0.0049593 4.980 251 221 0.0046277 4.990 211 221 0.0054870 5.000 216 220 0.0053279 5.010 232 220 0.0049593 5.020 217 219 0.0053279 5.030 218 219 0.0053279 5.040 223 218 0.0051757 5.050 181 218 0.0064000 5.060 221 217 0.0052510 5.070 229 217 0.0050299 5.080 232 217 0.0049593 5.090 212 216 0.0054066 5.100 209 216 0.0054870 5.110 203 215 0.0056532 5.120 213 215 0.0054066 5.130 215 214 0.0053279 5.140 211 214 0.0054870 5.150 219 213 0.0052510 5.160 214 213 0.0054066 5.170 221 213 0.0051757 5.180 200 213 0.0057392 5.190 188 213 0.0061035 5.200 207 212 0.0055692 5.210 208 212 0.0055692 5.220 211 212 0.0054870 5.230 192 212 0.0060093 5.240 200 211 0.0057392 5.250 221 211 0.0051757 5.260 213 211 0.0054066 5.270 201 211 0.0057392 5.280 199 211 0.0058272 5.290 183 210 0.0062988 5.300 212 210 0.0054066 5.310 217 210 0.0053279 5.320 240 210 0.0048225 5.330 215 210 0.0053279 5.340 203 209 0.0056532 5.350 197 209 0.0058272 5.360 179 209 0.0064000 5.370 201 209 0.0057392 5.380 178 209 0.0065036 5.390 206 208 0.0055692 5.400 197 208 0.0058272 5.410 174 208 0.0066098 5.420 233 208 0.0049593 5.430 184 208 0.0062988 5.440 209 208 0.0054870 5.450 192 207 0.0060093 5.460 205 207 0.0056532 5.470 189 207 0.0061035 5.480 221 207 0.0051757 5.490 209 207 0.0054870 5.500 210 206 0.0054870 5.510 191 206 0.0060093 5.520 213 206 0.0054066 5.530 185 206 0.0062000 5.540 235 206 0.0048902 5.550 204 206 0.0056532 5.560 206 206 0.0055692 5.570 213 205 0.0054066 5.580 197 205 0.0058272 5.590 174 205 0.0066098 5.600 189 205 0.0061035 5.610 200 205 0.0057392 5.620 206 205 0.0055692 5.630 174 204 0.0066098 5.640 198 204 0.0058272 5.650 186 204 0.0062000 5.660 156 204 0.0074316 5.670 205 204 0.0056532 5.680 216 204 0.0053279 5.690 214 204 0.0054066 5.700 209 203 0.0054870 5.710 192 203 0.0060093 5.720 199 203 0.0058272 5.730 180 203 0.0064000 5.740 215 203 0.0053279 5.750 200 203 0.0057392 5.760 187 203 0.0061035 5.770 190 202 0.0061035 5.780 196 202 0.0059172 5.790 200 202 0.0057392 5.800 170 202 0.0068301 5.810 197 202 0.0058272 5.820 218 202 0.0053279 5.830 194 202 0.0059172 5.840 205 202 0.0056532 5.850 184 202 0.0062988 5.860 184 201 0.0062988 5.870 208 201 0.0055692 5.880 203 201 0.0056532 5.890 233 201 0.0049593 5.900 201 201 0.0057392 5.910 194 201 0.0059172 5.920 203 201 0.0056532 5.930 191 201 0.0060093 5.940 154 201 0.0074316 5.950 191 200 0.0060093 5.960 217 200 0.0053279 5.970 225 200 0.0051020 5.980 198 200 0.0058272 5.990 192 200 0.0060093 6.000 186 200 0.0062000 6.010 182 200 0.0062988 6.020 199 200 0.0058272 6.030 179 200 0.0065036 6.040 189 200 0.0061035 6.050 186 199 0.0062000 6.060 211 199 0.0054870 6.070 216 199 0.0053279 6.080 197 199 0.0058272 6.090 182 199 0.0062988 6.100 195 199 0.0059172 6.110 199 199 0.0058272 6.120 229 199 0.0050299 6.130 186 199 0.0062000 6.140 205 199 0.0056532 6.150 188 199 0.0061035 6.160 205 199 0.0056532 6.170 192 199 0.0060093 6.180 199 198 0.0058272 6.190 183 198 0.0062988 6.200 205 198 0.0056532 6.210 205 198 0.0056532 6.220 206 198 0.0055692 6.230 202 198 0.0057392 6.240 205 198 0.0056532 6.250 193 198 0.0060093 6.260 209 198 0.0054870 6.270 200 198 0.0057392 6.280 192 198 0.0060093 6.290 178 198 0.0065036 6.300 197 198 0.0058272 6.310 208 198 0.0055692 6.320 178 198 0.0065036 6.330 168 198 0.0068301 6.340 195 198 0.0059172 6.350 198 198 0.0058272 6.360 186 197 0.0062000 6.370 199 197 0.0058272 6.380 179 197 0.0065036 6.390 179 197 0.0065036 6.400 179 197 0.0065036 6.410 206 197 0.0055692 6.420 204 197 0.0056532 6.430 199 197 0.0058272 6.440 190 197 0.0061035 6.450 196 197 0.0059172 6.460 219 197 0.0052510 6.470 203 197 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