|          k |   z |               ratio |
|    0.00025 | 2.0 |  0.8220497769722266 |
|    0.00075 | 2.0 | 0.47209627657443193 |
|    0.00125 | 2.0 |  0.3437545576537949 |
|    0.00175 | 2.0 |  0.2916760361878174 |
|    0.00225 | 2.0 |  0.2626218228699216 |
|    0.00275 | 2.0 | 0.24458732251803839 |
|    0.00325 | 2.0 |  0.2323675415445029 |
|    0.00375 | 2.0 | 0.22377801374305292 |
|    0.00425 | 2.0 | 0.21782954601444937 |
|    0.00475 | 2.0 | 0.21350356438036164 |
|    0.00525 | 2.0 |   0.210549214411473 |
|    0.00575 | 2.0 |  0.2085563622566767 |
|    0.00625 | 2.0 |  0.2073383523417202 |
|    0.00675 | 2.0 |  0.2067975217070435 |
|    0.00725 | 2.0 | 0.20678200340593228 |
|    0.00775 | 2.0 | 0.20719839114441885 |
|    0.00825 | 2.0 |  0.2080192726506661 |
|    0.00875 | 2.0 | 0.20921201210798765 |
|    0.00925 | 2.0 | 0.21078157908494108 |
|    0.00975 | 2.0 | 0.21229786156239824 |
| 0.01061009 | 2.0 |  0.2161742295627247 |
| 0.01190472 | 2.0 | 0.22318010745008293 |
| 0.01335731 | 2.0 | 0.23281348320434328 |
| 0.01498715 | 2.0 | 0.24581261096473528 |
| 0.01681586 | 2.0 |  0.2632415404489087 |
| 0.01886771 | 2.0 | 0.28658191900896673 |
| 0.02116992 | 2.0 | 0.31799528322027676 |
| 0.02375304 | 2.0 |  0.3609149517645798 |
| 0.02665135 | 2.0 |  0.4222764770381111 |
|    0.00025 | 2.2 |  0.7896342467520616 |
|    0.00075 | 2.2 | 0.41886575804293413 |
|    0.00125 | 2.2 |  0.2993277396247952 |
|    0.00175 | 2.2 |  0.2501364244018177 |
|    0.00225 | 2.2 | 0.22221309078840273 |
|    0.00275 | 2.2 | 0.20454001952268855 |
|    0.00325 | 2.2 | 0.19264255379948383 |
|    0.00375 | 2.2 | 0.18429077655491494 |
|    0.00425 | 2.2 | 0.17815908437222494 |
|    0.00475 | 2.2 | 0.17374453498424003 |
|    0.00525 | 2.2 |  0.1704792535315699 |
|    0.00575 | 2.2 | 0.16809211614177624 |
|    0.00625 | 2.2 | 0.16642824229318076 |
|    0.00675 | 2.2 |   0.165251600706339 |
|    0.00725 | 2.2 | 0.16461502275283724 |
|    0.00775 | 2.2 | 0.16439382296852817 |
|    0.00825 | 2.2 | 0.16447646240458727 |
|    0.00875 | 2.2 | 0.16484049453239039 |
|    0.00925 | 2.2 | 0.16542853785600356 |
|    0.00975 | 2.2 | 0.16613157992615424 |
| 0.01061009 | 2.2 |  0.1682424310024147 |
| 0.01190472 | 2.2 |  0.1722412667915512 |
| 0.01335731 | 2.2 | 0.17798801533182645 |
| 0.01498715 | 2.2 | 0.18599692755572128 |
| 0.01681586 | 2.2 |  0.1967658738889825 |
| 0.01886771 | 2.2 | 0.21115842160592613 |
| 0.02116992 | 2.2 |  0.2303926438570876 |
| 0.02375304 | 2.2 | 0.25618290906719415 |
| 0.02665135 | 2.2 |  0.2870432657154198 |
|  0.0299033 | 2.2 | 0.12056535817130003 |
|    0.00025 | 2.4 |  0.5974786165726892 |
|    0.00075 | 2.4 |   0.380555731431848 |
|    0.00125 | 2.4 |  0.2650299518652976 |
|    0.00175 | 2.4 | 0.22048902934236594 |
|    0.00225 | 2.4 | 0.19475464598835038 |
|    0.00275 | 2.4 | 0.17851001294449098 |
|    0.00325 | 2.4 | 0.16726600566134048 |
|    0.00375 | 2.4 |  0.1592071985394725 |
|    0.00425 | 2.4 | 0.15322647411282633 |
|    0.00475 | 2.4 | 0.14873410948055432 |
|    0.00525 | 2.4 |  0.1453040901027659 |
|    0.00575 | 2.4 | 0.14271704743050015 |
|    0.00625 | 2.4 |  0.1407685807914592 |
|    0.00675 | 2.4 | 0.13932465307244057 |
|    0.00725 | 2.4 | 0.13832378420497776 |
|    0.00775 | 2.4 | 0.13767392930615296 |
|    0.00825 | 2.4 |  0.1373432848057642 |
|    0.00875 | 2.4 | 0.13727454150825213 |
|    0.00925 | 2.4 | 0.13744971591779756 |
|    0.00975 | 2.4 |  0.1376695088758822 |
| 0.01061009 | 2.4 | 0.13886083570461757 |
| 0.01190472 | 2.4 | 0.14142050238468998 |
| 0.01335731 | 2.4 | 0.14539789712509527 |
| 0.01498715 | 2.4 |   0.151138317715211 |
| 0.01681586 | 2.4 | 0.15909138031535283 |
| 0.01886771 | 2.4 | 0.16987458155739935 |
| 0.02116992 | 2.4 | 0.18432687801083295 |
| 0.02375304 | 2.4 | 0.20365904247870914 |
| 0.02665135 | 2.4 | 0.22760984018015085 |
|  0.0299033 | 2.4 |  0.2548702363213478 |
|    0.00025 | 2.6 |  0.6050882674596465 |
|    0.00075 | 2.6 | 0.35095021976883467 |
|    0.00125 | 2.6 |  0.2473472531862825 |
|    0.00175 | 2.6 | 0.20525830535586168 |
|    0.00225 | 2.6 | 0.18100374897657248 |
|    0.00275 | 2.6 | 0.16565011049858896 |
|    0.00325 | 2.6 | 0.15498009066817334 |
|    0.00375 | 2.6 | 0.14723452442764165 |
|    0.00425 | 2.6 | 0.14153665747525399 |
|    0.00475 | 2.6 | 0.13726907567136734 |
|    0.00525 | 2.6 | 0.13396574633494593 |
|    0.00575 | 2.6 | 0.13141082340079502 |
|    0.00625 | 2.6 |  0.1294622384334805 |
|    0.00675 | 2.6 | 0.12795817220771394 |
|    0.00725 | 2.6 |  0.1268747038928619 |
|    0.00775 | 2.6 | 0.12609659136474705 |
|    0.00825 | 2.6 | 0.12557645762740155 |
|    0.00875 | 2.6 |  0.1253015317532352 |
|    0.00925 | 2.6 | 0.12523742560548837 |
|    0.00975 | 2.6 | 0.12523857855508677 |
| 0.01061009 | 2.6 | 0.12588259290988457 |
| 0.01190472 | 2.6 | 0.12750141418712524 |
| 0.01335731 | 2.6 |  0.1302007188526548 |
| 0.01498715 | 2.6 | 0.13421643220756474 |
| 0.01681586 | 2.6 | 0.13982391520044268 |
| 0.01886771 | 2.6 | 0.14739991513915182 |
| 0.02116992 | 2.6 | 0.15745230194547138 |
| 0.02375304 | 2.6 | 0.17063217504066752 |
| 0.02665135 | 2.6 | 0.18833340190508013 |
|  0.0299033 | 2.6 | 0.20406183930413407 |
| 0.03355206 | 2.6 | 0.25140609176598894 |
|    0.00025 | 2.8 | 0.46140511793062305 |
|    0.00075 | 2.8 | 0.34357696771836693 |
|    0.00125 | 2.8 | 0.23802079864513856 |
|    0.00175 | 2.8 | 0.19763002972430754 |
|    0.00225 | 2.8 |  0.1737663276019734 |
|    0.00275 | 2.8 | 0.15839854404544687 |
|    0.00325 | 2.8 |  0.1475763207521386 |
|    0.00375 | 2.8 | 0.13964799790265767 |
|    0.00425 | 2.8 | 0.13359630486173155 |
|    0.00475 | 2.8 | 0.12888823330164664 |
|    0.00525 | 2.8 | 0.12514452287714103 |
|    0.00575 | 2.8 | 0.12217799793450744 |
|    0.00625 | 2.8 | 0.11978469294339646 |
|    0.00675 | 2.8 | 0.11784368081532942 |
|    0.00725 | 2.8 | 0.11630255963024133 |
|    0.00775 | 2.8 | 0.11505931712603368 |
|    0.00825 | 2.8 | 0.11409285345558112 |
|    0.00875 | 2.8 | 0.11335544374072275 |
|    0.00925 | 2.8 | 0.11282246459104864 |
|    0.00975 | 2.8 |  0.1123658672138857 |
| 0.01061009 | 2.8 | 0.11214927890062967 |
| 0.01190472 | 2.8 | 0.11243548839793563 |
| 0.01335731 | 2.8 | 0.11357190631468848 |
| 0.01498715 | 2.8 | 0.11571772153476144 |
| 0.01681586 | 2.8 | 0.11907846284460523 |
| 0.01886771 | 2.8 | 0.12394547264737937 |
| 0.02116992 | 2.8 | 0.13072707289808028 |
| 0.02375304 | 2.8 | 0.13999429843044323 |
| 0.02665135 | 2.8 | 0.15244370294255938 |
|  0.0299033 | 2.8 | 0.16983761272326423 |
| 0.03355206 | 2.8 | 0.18832628891807457 |
|    0.00025 | 3.0 |  0.7990101082392833 |
|    0.00075 | 3.0 |  0.3431086793508762 |
|    0.00125 | 3.0 | 0.24840472152185647 |
|    0.00175 | 3.0 | 0.20550600850408968 |
|    0.00225 | 3.0 | 0.18082271987229323 |
|    0.00275 | 3.0 | 0.16438666521310108 |
|    0.00325 | 3.0 | 0.15273284949637836 |
|    0.00375 | 3.0 | 0.14398448272239245 |
|    0.00425 | 3.0 |  0.1373016841817126 |
|    0.00475 | 3.0 | 0.13204896184381013 |
|    0.00525 | 3.0 | 0.12778818196210473 |
|    0.00575 | 3.0 | 0.12434433763170248 |
|    0.00625 | 3.0 | 0.12151793792605042 |
|    0.00675 | 3.0 | 0.11916674340742105 |
|    0.00725 | 3.0 | 0.11724697932080436 |
|    0.00775 | 3.0 | 0.11564579135866238 |
|    0.00825 | 3.0 | 0.11432713662014414 |
|    0.00875 | 3.0 | 0.11326378896457015 |
|    0.00925 | 3.0 | 0.11236559722229746 |
|    0.00975 | 3.0 | 0.11182049280079764 |
| 0.01061009 | 3.0 | 0.11096291547443399 |
| 0.01190472 | 3.0 | 0.11048388439587177 |
| 0.01335731 | 3.0 |  0.1108694007571678 |
| 0.01498715 | 3.0 | 0.11222690572936546 |
| 0.01681586 | 3.0 | 0.11477016549863513 |
| 0.01886771 | 3.0 | 0.11879462915664181 |
| 0.02116992 | 3.0 | 0.12472479660076471 |
| 0.02375304 | 3.0 |  0.1331718580670919 |
| 0.02665135 | 3.0 |  0.1450574289209901 |
|  0.0299033 | 3.0 |  0.1617297938412981 |
| 0.03355206 | 3.0 | 0.18884156617782596 |
| 0.03764603 | 3.0 | 0.23707605002477078 |
|    0.00025 | 3.2 |  1.5212817373124097 |
|    0.00075 | 3.2 |  0.3049994752774975 |
|    0.00125 | 3.2 | 0.25738435751227384 |
|    0.00175 | 3.2 | 0.20914115030205446 |
|    0.00225 | 3.2 | 0.18499707672292853 |
|    0.00275 | 3.2 | 0.16820582015015537 |
|    0.00325 | 3.2 |  0.1562089810645464 |
|    0.00375 | 3.2 | 0.14717288421801053 |
|    0.00425 | 3.2 | 0.14015710703237408 |
|    0.00475 | 3.2 | 0.13456584288966994 |
|    0.00525 | 3.2 | 0.13001058772467522 |
|    0.00575 | 3.2 | 0.12628127203277315 |
|    0.00625 | 3.2 |  0.1231621005311028 |
|    0.00675 | 3.2 | 0.12053610590533913 |
|    0.00725 | 3.2 | 0.11834778651472498 |
|    0.00775 | 3.2 | 0.11647180124501577 |
|    0.00825 | 3.2 | 0.11489466175350763 |
|    0.00875 | 3.2 | 0.11357053260859895 |
|    0.00925 | 3.2 | 0.11241349082266183 |
|    0.00975 | 3.2 | 0.11161167001274931 |
| 0.01061009 | 3.2 | 0.11029466340087582 |
| 0.01190472 | 3.2 | 0.10911589105917716 |
| 0.01335731 | 3.2 | 0.10868121669036201 |
| 0.01498715 | 3.2 | 0.10905500197707013 |
| 0.01681586 | 3.2 | 0.11038933974217575 |
| 0.01886771 | 3.2 |  0.1129138323052234 |
| 0.02116992 | 3.2 | 0.11696720754031496 |
| 0.02375304 | 3.2 | 0.12304958790713114 |
| 0.02665135 | 3.2 |  0.1319103995626492 |
|  0.0299033 | 3.2 | 0.14465680223577151 |
| 0.03355206 | 3.2 | 0.16142379313688424 |
| 0.03764603 | 3.2 | 0.18159958883739527 |
|    0.00025 | 3.4 |  1.2810580422082276 |
|    0.00075 | 3.4 |  0.2832344450908329 |
|    0.00125 | 3.4 | 0.23582738268500686 |
|    0.00175 | 3.4 |  0.1928472490974022 |
|    0.00225 | 3.4 | 0.17068121042644072 |
|    0.00275 | 3.4 |  0.1549930882701797 |
|    0.00325 | 3.4 | 0.14364805866528907 |
|    0.00375 | 3.4 |  0.1350724802943799 |
|    0.00425 | 3.4 |  0.1283489850098578 |
|    0.00475 | 3.4 |  0.1229577588233185 |
|    0.00525 | 3.4 | 0.11849692266614392 |
|    0.00575 | 3.4 |  0.1148121869122346 |
|    0.00625 | 3.4 | 0.11171593960448546 |
|    0.00675 | 3.4 | 0.10906864806233812 |
|    0.00725 | 3.4 | 0.10684245472166126 |
|    0.00775 | 3.4 | 0.10491520678935039 |
|    0.00825 | 3.4 | 0.10325722880747126 |
|    0.00875 | 3.4 | 0.10184761822272166 |
|    0.00925 | 3.4 |  0.1005812658009232 |
|    0.00975 | 3.4 | 0.09970728386126083 |
| 0.01061009 | 3.4 | 0.09816351549436339 |
| 0.01190472 | 3.4 | 0.09662035056657808 |
| 0.01335731 | 3.4 | 0.09570706274463352 |
| 0.01498715 | 3.4 |  0.0954668278336279 |
| 0.01681586 | 3.4 | 0.09602613103466971 |
| 0.01886771 | 3.4 | 0.09756410446406408 |
| 0.02116992 | 3.4 |  0.1003553591101755 |
| 0.02375304 | 3.4 | 0.10482861868806763 |
| 0.02665135 | 3.4 | 0.11159843876772109 |
|  0.0299033 | 3.4 | 0.12155460004799672 |
| 0.03355206 | 3.4 | 0.13596637852371687 |
| 0.03764603 | 3.4 | 0.15832335519870583 |
| 0.04223954 | 3.4 |   2.524037273365747 |
|    0.00025 | 3.6 |  0.6947011759216865 |
|    0.00075 | 3.6 | 0.23313401356845292 |
|    0.00125 | 3.6 | 0.18697460861248666 |
|    0.00175 | 3.6 | 0.15407508354214047 |
|    0.00225 | 3.6 | 0.13581130148486595 |
|    0.00275 | 3.6 | 0.12356219852057836 |
|    0.00325 | 3.6 | 0.11457951361756465 |
|    0.00375 | 3.6 |  0.1076735519880226 |
|    0.00425 | 3.6 | 0.10232759541124413 |
|    0.00475 | 3.6 | 0.09799972304399825 |
|    0.00525 | 3.6 |  0.0944965760157358 |
|    0.00575 | 3.6 | 0.09162302568732907 |
|    0.00625 | 3.6 | 0.08915906626273284 |
|    0.00675 | 3.6 | 0.08708701836546445 |
|    0.00725 | 3.6 | 0.08535328641283378 |
|    0.00775 | 3.6 | 0.08384754787146845 |
|    0.00825 | 3.6 |  0.0825746411611653 |
|    0.00875 | 3.6 | 0.08149308026153745 |
|    0.00925 | 3.6 | 0.08055936542904417 |
|    0.00975 | 3.6 |  0.0798571468693437 |
| 0.01061009 | 3.6 | 0.07870924841520763 |
| 0.01190472 | 3.6 | 0.07760031867670387 |
| 0.01335731 | 3.6 |  0.0770602678512686 |
| 0.01498715 | 3.6 | 0.07713267463210256 |
| 0.01681586 | 3.6 | 0.07788748786355645 |
| 0.01886771 | 3.6 | 0.07948904844529305 |
| 0.02116992 | 3.6 | 0.08217458489699239 |
| 0.02375304 | 3.6 | 0.08630696669513367 |
| 0.02665135 | 3.6 | 0.09247432135988422 |
|  0.0299033 | 3.6 | 0.10145835531910932 |
| 0.03355206 | 3.6 | 0.11418149037361539 |
| 0.03764603 | 3.6 | 0.13065609738736236 |
| 0.04223954 | 3.6 | 0.17383779635414692 |
|    0.00025 | 3.8 |  0.2510635252100581 |
|    0.00075 | 3.8 | 0.21619940136314053 |
|    0.00125 | 3.8 | 0.15557178150974724 |
|    0.00175 | 3.8 | 0.12995566678156775 |
|    0.00225 | 3.8 | 0.11601883881299285 |
|    0.00275 | 3.8 | 0.10516843304191263 |
|    0.00325 | 3.8 | 0.09747682624722738 |
|    0.00375 | 3.8 |  0.0918382576619774 |
|    0.00425 | 3.8 | 0.08760208984166472 |
|    0.00475 | 3.8 | 0.08426928872607237 |
|    0.00525 | 3.8 | 0.08116087631408646 |
|    0.00575 | 3.8 | 0.07867213144985799 |
|    0.00625 | 3.8 | 0.07675276021515523 |
|    0.00675 | 3.8 | 0.07505005109910046 |
|    0.00725 | 3.8 | 0.07357584477957896 |
|    0.00775 | 3.8 |  0.0723052581414456 |
|    0.00825 | 3.8 |  0.0712216585578404 |
|    0.00875 | 3.8 | 0.07034192834405464 |
|    0.00925 | 3.8 | 0.06951699385972498 |
|    0.00975 | 3.8 | 0.06898243988205148 |
| 0.01061009 | 3.8 | 0.06803617062020298 |
| 0.01190472 | 3.8 | 0.06722508290900343 |
| 0.01335731 | 3.8 | 0.06675241568162711 |
| 0.01498715 | 3.8 | 0.06669753011519658 |
| 0.01681586 | 3.8 | 0.06724327729591588 |
| 0.01886771 | 3.8 | 0.06846902967395053 |
| 0.02116992 | 3.8 |  0.0705500272700456 |
| 0.02375304 | 3.8 | 0.07380854051375238 |
| 0.02665135 | 3.8 | 0.07859411948457035 |
|  0.0299033 | 3.8 | 0.08562473184916813 |
| 0.03355206 | 3.8 |  0.0957558258693996 |
| 0.03764603 | 3.8 | 0.10984314996675784 |
| 0.04223954 | 3.8 | 0.12896364485499487 |
