|          k |   z |                  ratio |
|    0.00025 | 2.0 |    0.00513798242046983 |
|    0.00075 | 2.0 | -3.561126051507478e-05 |
|    0.00125 | 2.0 |   7.39745804928084e-05 |
|    0.00175 | 2.0 |   7.56339169005677e-05 |
|    0.00225 | 2.0 | 2.0746517909295116e-05 |
|    0.00275 | 2.0 |  3.262322682192457e-05 |
|    0.00325 | 2.0 | 2.8028774910419134e-05 |
|    0.00375 | 2.0 |  1.914711849710895e-05 |
|    0.00425 | 2.0 | 2.4576312370912424e-05 |
|    0.00475 | 2.0 | 1.3012194502719242e-05 |
|    0.00525 | 2.0 | 1.2568905304011519e-05 |
|    0.00575 | 2.0 | 1.1318531925233363e-05 |
|    0.00625 | 2.0 | 1.9751025292853743e-05 |
|    0.00675 | 2.0 | 1.9598057174813452e-05 |
|    0.00725 | 2.0 |  6.767071893361467e-05 |
|    0.00775 | 2.0 | 3.0006931263836106e-05 |
|    0.00825 | 2.0 |  9.193652549727375e-06 |
|    0.00875 | 2.0 |  3.202017965675463e-05 |
|    0.00925 | 2.0 |  6.515279526176953e-06 |
|    0.00975 | 2.0 |  5.039452821101213e-06 |
| 0.01061009 | 2.0 |  1.728368637576755e-05 |
| 0.01190472 | 2.0 |  5.064485779315718e-06 |
| 0.01335731 | 2.0 | 1.2286987411964206e-06 |
| 0.01498715 | 2.0 | 1.7945187829334456e-06 |
| 0.01681586 | 2.0 |  5.622745872925776e-06 |
| 0.01886771 | 2.0 |  5.278676928849775e-06 |
| 0.02116992 | 2.0 |  5.530250886535528e-06 |
| 0.02375304 | 2.0 | 2.1376046727409993e-06 |
| 0.02665135 | 2.0 |  6.943099990952814e-06 |
|  0.0299033 | 2.0 |                    0.0 |
| 0.03355206 | 2.0 |                    0.0 |
| 0.03764603 | 2.0 |                    0.0 |
| 0.04223954 | 2.0 |                    0.0 |
|    0.00025 | 2.2 |  0.0022924299295195797 |
|    0.00075 | 2.2 |  9.817695641278903e-05 |
|    0.00125 | 2.2 |  6.153711339347444e-05 |
|    0.00175 | 2.2 |  7.279834635453673e-05 |
|    0.00225 | 2.2 | 1.2953659402020655e-05 |
|    0.00275 | 2.2 |  2.109657994206427e-05 |
|    0.00325 | 2.2 |  3.595156062288914e-05 |
|    0.00375 | 2.2 | 1.7992745589139073e-05 |
|    0.00425 | 2.2 | 2.4451899472137506e-05 |
|    0.00475 | 2.2 | 1.2973454728312638e-05 |
|    0.00525 | 2.2 | 1.1110395880270357e-05 |
|    0.00575 | 2.2 |  9.367892041183772e-06 |
|    0.00625 | 2.2 | 1.8332945637150768e-05 |
|    0.00675 | 2.2 | 1.0000206333694104e-05 |
|    0.00725 | 2.2 |  5.087791253830241e-05 |
|    0.00775 | 2.2 | 1.8038975390567718e-05 |
|    0.00825 | 2.2 | 1.4742601757667344e-05 |
|    0.00875 | 2.2 |  3.148511760626061e-05 |
|    0.00925 | 2.2 | 1.0542948223687219e-05 |
|    0.00975 | 2.2 | 2.8466122816913474e-06 |
| 0.01061009 | 2.2 | 1.1940894152693921e-05 |
| 0.01190472 | 2.2 | 5.3139995239321635e-06 |
| 0.01335731 | 2.2 | 1.6307267638484313e-06 |
| 0.01498715 | 2.2 | 1.5694282304328642e-06 |
| 0.01681586 | 2.2 |  3.933714326662964e-06 |
| 0.01886771 | 2.2 | 3.7401961533222746e-06 |
| 0.02116992 | 2.2 |  3.878746622109454e-06 |
| 0.02375304 | 2.2 | 1.3376560985071658e-06 |
| 0.02665135 | 2.2 | 3.8600898717473235e-06 |
|  0.0299033 | 2.2 | -6.682144524235493e-06 |
| 0.03355206 | 2.2 |                    0.0 |
| 0.03764603 | 2.2 |                    0.0 |
| 0.04223954 | 2.2 |                    0.0 |
|    0.00025 | 2.4 |  0.0037574095460725745 |
|    0.00075 | 2.4 | 1.8884964973772476e-05 |
|    0.00125 | 2.4 | 5.8470880124521285e-05 |
|    0.00175 | 2.4 |  5.484712820422182e-05 |
|    0.00225 | 2.4 |  1.164382464558542e-05 |
|    0.00275 | 2.4 | 1.5627705306382998e-05 |
|    0.00325 | 2.4 | 2.9167276152738755e-05 |
|    0.00375 | 2.4 | 1.3709038752387555e-05 |
|    0.00425 | 2.4 | 1.9078501803285772e-05 |
|    0.00475 | 2.4 | 1.1118215999060497e-05 |
|    0.00525 | 2.4 |  8.723332378337047e-06 |
|    0.00575 | 2.4 |   7.82352549213082e-06 |
|    0.00625 | 2.4 | 1.4563954766689396e-05 |
|    0.00675 | 2.4 |   8.19811089116656e-06 |
|    0.00725 | 2.4 |  4.041298733520542e-05 |
|    0.00775 | 2.4 | 1.2899115223847976e-05 |
|    0.00825 | 2.4 | 1.1163022706606782e-05 |
|    0.00875 | 2.4 | 2.4798760463740707e-05 |
|    0.00925 | 2.4 |  6.509683781347606e-06 |
|    0.00975 | 2.4 | 2.6477081320020235e-06 |
| 0.01061009 | 2.4 |  8.819062330639014e-06 |
| 0.01190472 | 2.4 |  4.208203280645517e-06 |
| 0.01335731 | 2.4 | 1.2908546892761851e-06 |
| 0.01498715 | 2.4 | 1.2374359761850092e-06 |
| 0.01681586 | 2.4 | 2.8847270784988756e-06 |
| 0.01886771 | 2.4 |  2.659169407147192e-06 |
| 0.02116992 | 2.4 |  2.600198070061063e-06 |
| 0.02375304 | 2.4 |  9.448575898803001e-07 |
| 0.02665135 | 2.4 | 2.3951350536361456e-06 |
|  0.0299033 | 2.4 | 4.7744822955363485e-06 |
| 0.03355206 | 2.4 |                    0.0 |
| 0.03764603 | 2.4 |                    0.0 |
| 0.04223954 | 2.4 |                    0.0 |
|    0.00025 | 2.6 |   0.002157418677558801 |
|    0.00075 | 2.6 |  5.054976269416788e-05 |
|    0.00125 | 2.6 |  3.853955852380747e-05 |
|    0.00175 | 2.6 |  4.154005496012394e-05 |
|    0.00225 | 2.6 |  8.075605338950623e-06 |
|    0.00275 | 2.6 | 1.2278260663255153e-05 |
|    0.00325 | 2.6 | 2.2202911757396306e-05 |
|    0.00375 | 2.6 | 1.0958495690971321e-05 |
|    0.00425 | 2.6 |   1.49290383770176e-05 |
|    0.00475 | 2.6 |   8.19407381635508e-06 |
|    0.00525 | 2.6 | 6.8133159039645124e-06 |
|    0.00575 | 2.6 |  5.913819889919717e-06 |
|    0.00625 | 2.6 | 1.0405478430503695e-05 |
|    0.00675 | 2.6 |  5.741129259086885e-06 |
|    0.00725 | 2.6 |   2.79469706782614e-05 |
|    0.00775 | 2.6 | 1.0922794572524435e-05 |
|    0.00825 | 2.6 |    8.9712012770851e-06 |
|    0.00875 | 2.6 | 1.8976432754938268e-05 |
|    0.00925 | 2.6 | 5.2534481008795564e-06 |
|    0.00975 | 2.6 | 2.1643020750459378e-06 |
| 0.01061009 | 2.6 | 6.3527632934439945e-06 |
| 0.01190472 | 2.6 |  3.215223346396865e-06 |
| 0.01335731 | 2.6 |  9.721918755946962e-07 |
| 0.01498715 | 2.6 |  8.790178686453191e-07 |
| 0.01681586 | 2.6 |  2.019949938294879e-06 |
| 0.01886771 | 2.6 |  1.849721045689521e-06 |
| 0.02116992 | 2.6 | 1.7766613865381867e-06 |
| 0.02375304 | 2.6 |  6.063464488840887e-07 |
| 0.02665135 | 2.6 | 1.4488584403936025e-06 |
|  0.0299033 | 2.6 |  2.816792883552704e-06 |
| 0.03355206 | 2.6 |  1.002525318277008e-06 |
| 0.03764603 | 2.6 |                    0.0 |
| 0.04223954 | 2.6 |                    0.0 |
|    0.00025 | 2.8 |  0.0024036072012506237 |
|    0.00075 | 2.8 | 2.3454540716279236e-05 |
|    0.00125 | 2.8 |  3.677937463465344e-05 |
|    0.00175 | 2.8 |  3.356745521912339e-05 |
|    0.00225 | 2.8 | 6.9183836494662815e-06 |
|    0.00275 | 2.8 |  9.224555669147289e-06 |
|    0.00325 | 2.8 |  1.983170436005015e-05 |
|    0.00375 | 2.8 |  8.826385470099043e-06 |
|    0.00425 | 2.8 |  1.144271214778334e-05 |
|    0.00475 | 2.8 |  7.053400721479033e-06 |
|    0.00525 | 2.8 |  5.235877127661232e-06 |
|    0.00575 | 2.8 |  5.014034006690715e-06 |
|    0.00625 | 2.8 |  8.601357611511336e-06 |
|    0.00675 | 2.8 |  4.339434644816718e-06 |
|    0.00725 | 2.8 | 2.1494488880484528e-05 |
|    0.00775 | 2.8 |  8.313094139565067e-06 |
|    0.00825 | 2.8 |   7.19779124618894e-06 |
|    0.00875 | 2.8 | 1.6131933733570117e-05 |
|    0.00925 | 2.8 |  4.182728928586459e-06 |
|    0.00975 | 2.8 | 1.6961384749403181e-06 |
| 0.01061009 | 2.8 |  4.871234343040406e-06 |
| 0.01190472 | 2.8 | 2.6278800485171106e-06 |
| 0.01335731 | 2.8 |   8.46130511628859e-07 |
| 0.01498715 | 2.8 |  7.520280866543867e-07 |
| 0.01681586 | 2.8 | 1.5275985096682497e-06 |
| 0.01886771 | 2.8 | 1.4241623623658195e-06 |
| 0.02116992 | 2.8 |  1.346356400898461e-06 |
| 0.02375304 | 2.8 | 4.4429865528698235e-07 |
| 0.02665135 | 2.8 | 1.0369966853481307e-06 |
|  0.0299033 | 2.8 | 1.8755426149999072e-06 |
| 0.03355206 | 2.8 | 1.1748497091440784e-06 |
| 0.03764603 | 2.8 |                    0.0 |
| 0.04223954 | 2.8 |                    0.0 |
|    0.00025 | 3.0 |   0.001811209216741733 |
|    0.00075 | 3.0 | 1.9463190409251334e-05 |
|    0.00125 | 3.0 |  2.716728400041905e-05 |
|    0.00175 | 3.0 | 2.3657073479556126e-05 |
|    0.00225 | 3.0 |  5.328666694609552e-06 |
|    0.00275 | 3.0 |  8.316422543768012e-06 |
|    0.00325 | 3.0 | 1.5893860287715074e-05 |
|    0.00375 | 3.0 |  6.953649008688149e-06 |
|    0.00425 | 3.0 |   9.28592888851888e-06 |
|    0.00475 | 3.0 |  5.153724654824028e-06 |
|    0.00525 | 3.0 | 4.2504885935099475e-06 |
|    0.00575 | 3.0 |  3.951666072799771e-06 |
|    0.00625 | 3.0 |   5.89791274374107e-06 |
|    0.00675 | 3.0 |  2.524185965011755e-06 |
|    0.00725 | 3.0 | 1.3413359457926544e-05 |
|    0.00775 | 3.0 |  7.403030767555991e-06 |
|    0.00825 | 3.0 |  6.213669647549457e-06 |
|    0.00875 | 3.0 | 1.3061911443810763e-05 |
|    0.00925 | 3.0 | 3.3935080509815384e-06 |
|    0.00975 | 3.0 | 1.4630316722195703e-06 |
| 0.01061009 | 3.0 | 3.4351478200250893e-06 |
| 0.01190472 | 3.0 |  2.096890231068594e-06 |
| 0.01335731 | 3.0 |  6.662322392454694e-07 |
| 0.01498715 | 3.0 |  5.357571634854317e-07 |
| 0.01681586 | 3.0 |  1.059334352083254e-06 |
| 0.01886771 | 3.0 |  1.029444542758856e-06 |
| 0.02116992 | 3.0 |  9.774588917350857e-07 |
| 0.02375304 | 3.0 | 2.6869133633732995e-07 |
| 0.02665135 | 3.0 |  7.044581403194388e-07 |
|  0.0299033 | 3.0 | 1.1578210712560043e-06 |
| 0.03355206 | 3.0 |  5.323375863662592e-07 |
| 0.03764603 | 3.0 |  2.537385512817148e-06 |
| 0.04223954 | 3.0 |                    0.0 |
|    0.00025 | 3.2 |  0.0017401599344447332 |
|    0.00075 | 3.2 | 1.8036943281008135e-05 |
|    0.00125 | 3.2 | 2.4921432214917252e-05 |
|    0.00175 | 3.2 |  2.170630900652752e-05 |
|    0.00225 | 3.2 |  4.665172901981609e-06 |
|    0.00275 | 3.2 |  5.534856418985394e-06 |
|    0.00325 | 3.2 |  1.653636188131801e-05 |
|    0.00375 | 3.2 |  6.309823954027659e-06 |
|    0.00425 | 3.2 |  7.146664448511063e-06 |
|    0.00475 | 3.2 |  5.447239611513377e-06 |
|    0.00525 | 3.2 |  3.226287340974406e-06 |
|    0.00575 | 3.2 |  3.865745067076471e-06 |
|    0.00625 | 3.2 |  5.585105492459122e-06 |
|    0.00675 | 3.2 | 1.9007778381168833e-06 |
|    0.00725 | 3.2 | 1.0627375528387903e-05 |
|    0.00775 | 3.2 |  5.421067917146587e-06 |
|    0.00825 | 3.2 |  5.305602819419162e-06 |
|    0.00875 | 3.2 |  1.214934274862978e-05 |
|    0.00925 | 3.2 |  2.928225408167999e-06 |
|    0.00975 | 3.2 | 1.0943875007153424e-06 |
| 0.01061009 | 3.2 | 2.6748880546167853e-06 |
| 0.01190472 | 3.2 | 1.8617457577915476e-06 |
| 0.01335731 | 3.2 |  6.638427585200587e-07 |
| 0.01498715 | 3.2 |  5.185047896602194e-07 |
| 0.01681586 | 3.2 |  8.116212663521256e-07 |
| 0.01886771 | 3.2 |   8.50201546411898e-07 |
| 0.02116992 | 3.2 |  8.332468808647395e-07 |
| 0.02375304 | 3.2 | 2.1782873972313626e-07 |
| 0.02665135 | 3.2 |  5.193863118893376e-07 |
|  0.0299033 | 3.2 |  8.519112166813644e-07 |
| 0.03355206 | 3.2 |  3.753939252764723e-07 |
| 0.03764603 | 3.2 | 1.3944313935415319e-06 |
| 0.04223954 | 3.2 |                    0.0 |
|    0.00025 | 3.4 |   0.001103696562856301 |
|    0.00075 | 3.4 | 2.0262632763641096e-05 |
|    0.00125 | 3.4 |  1.692906463965498e-05 |
|    0.00175 | 3.4 | 1.7568011374767104e-05 |
|    0.00225 | 3.4 |  3.371200709079457e-06 |
|    0.00275 | 3.4 |  4.240978095716307e-06 |
|    0.00325 | 3.4 |  1.011928769997308e-05 |
|    0.00375 | 3.4 | 4.6270359683003655e-06 |
|    0.00425 | 3.4 |  5.634718976038185e-06 |
|    0.00475 | 3.4 | 3.7090088248007763e-06 |
|    0.00525 | 3.4 |  2.598007383798609e-06 |
|    0.00575 | 3.4 | 2.5780417513934198e-06 |
|    0.00625 | 3.4 |  4.183000910262417e-06 |
|    0.00675 | 3.4 | 2.2486290974062314e-06 |
|    0.00725 | 3.4 | 1.0023010077647447e-05 |
|    0.00775 | 3.4 |   4.24674665540957e-06 |
|    0.00825 | 3.4 | 3.6020504488107867e-06 |
|    0.00875 | 3.4 |  8.062936954850367e-06 |
|    0.00925 | 3.4 |  1.942746975232991e-06 |
|    0.00975 | 3.4 |  8.484023610353398e-07 |
| 0.01061009 | 3.4 |  2.188575874411405e-06 |
| 0.01190472 | 3.4 |  1.309851873431698e-06 |
| 0.01335731 | 3.4 |  4.554228891262958e-07 |
| 0.01498715 | 3.4 | 3.8781897334880417e-07 |
| 0.01681586 | 3.4 |  6.746267369492688e-07 |
| 0.01886771 | 3.4 |  6.248411420364285e-07 |
| 0.02116992 | 3.4 |   5.73675246812755e-07 |
| 0.02375304 | 3.4 | 1.7922359694052705e-07 |
| 0.02665135 | 3.4 | 3.7719886393529936e-07 |
|  0.0299033 | 3.4 |  5.835555271316828e-07 |
| 0.03355206 | 3.4 |  2.823190783305532e-07 |
| 0.03764603 | 3.4 |  7.419687272027526e-07 |
| 0.04223954 | 3.4 | -7.216089879775429e-07 |
|    0.00025 | 3.6 |   0.000987298451331818 |
|    0.00075 | 3.6 | 1.3393831805516586e-06 |
|    0.00125 | 3.6 | 1.5689400436541387e-05 |
|    0.00175 | 3.6 | 1.0953742400428327e-05 |
|    0.00225 | 3.6 | 3.1102520750196114e-06 |
|    0.00275 | 3.6 |  3.985744453045141e-06 |
|    0.00325 | 3.6 |  8.142096624794414e-06 |
|    0.00375 | 3.6 | 3.1967549928753622e-06 |
|    0.00425 | 3.6 |  4.527757918901539e-06 |
|    0.00475 | 3.6 | 2.5506521770845937e-06 |
|    0.00525 | 3.6 | 1.9971881524163306e-06 |
|    0.00575 | 3.6 |  1.964125653273808e-06 |
|    0.00625 | 3.6 |  2.924756675316248e-06 |
|    0.00675 | 3.6 |  7.324921373126338e-07 |
|    0.00725 | 3.6 |  6.102154581350528e-06 |
|    0.00775 | 3.6 | 3.4705809478517677e-06 |
|    0.00825 | 3.6 | 3.2021837377909244e-06 |
|    0.00875 | 3.6 | 6.6711768661098165e-06 |
|    0.00925 | 3.6 | 1.7894257068470125e-06 |
|    0.00975 | 3.6 |  6.425494801494674e-07 |
| 0.01061009 | 3.6 | 1.5821501298420874e-06 |
| 0.01190472 | 3.6 | 1.0015315941627147e-06 |
| 0.01335731 | 3.6 | 3.4345755212730005e-07 |
| 0.01498715 | 3.6 | 2.6322785310127163e-07 |
| 0.01681586 | 3.6 |  4.713804513801618e-07 |
| 0.01886771 | 3.6 | 4.3485213277577647e-07 |
| 0.02116992 | 3.6 | 4.3163739719179335e-07 |
| 0.02375304 | 3.6 | 1.0061926207424975e-07 |
| 0.02665135 | 3.6 | 2.6236016779498616e-07 |
|  0.0299033 | 3.6 | 3.9361060934272745e-07 |
| 0.03355206 | 3.6 |  1.555145318192617e-07 |
| 0.03764603 | 3.6 |  5.669803123817236e-07 |
| 0.04223954 | 3.6 | 2.1216547563207607e-07 |
|    0.00025 | 3.8 |  0.0004700388535788984 |
|    0.00075 | 3.8 |  5.878241608589975e-06 |
|    0.00125 | 3.8 | 1.1331981344897316e-05 |
|    0.00175 | 3.8 |   8.52261013806401e-06 |
|    0.00225 | 3.8 |  2.123821178810914e-06 |
|    0.00275 | 3.8 | 3.5056685201530134e-06 |
|    0.00325 | 3.8 |  9.188341063987617e-06 |
|    0.00375 | 3.8 |  3.080970884827055e-06 |
|    0.00425 | 3.8 |  2.997278972793021e-06 |
|    0.00475 | 3.8 | 2.5137896350475416e-06 |
|    0.00525 | 3.8 | 1.4528906581269197e-06 |
|    0.00575 | 3.8 | 1.9840653091472656e-06 |
|    0.00625 | 3.8 | 2.1821151343580996e-06 |
|    0.00675 | 3.8 |  4.905864098769471e-07 |
|    0.00725 | 3.8 |  2.885178222280745e-06 |
|    0.00775 | 3.8 | 3.3764159613491425e-06 |
|    0.00825 | 3.8 | 2.3667795886304763e-06 |
|    0.00875 | 3.8 | 6.8498576690138404e-06 |
|    0.00925 | 3.8 | 1.5133837700097985e-06 |
|    0.00975 | 3.8 |  6.864159810669021e-07 |
| 0.01061009 | 3.8 | 1.2095589908493705e-06 |
| 0.01190472 | 3.8 |  8.395687672156496e-07 |
| 0.01335731 | 3.8 |  3.429302313483389e-07 |
| 0.01498715 | 3.8 | 2.5594356054064885e-07 |
| 0.01681586 | 3.8 |  3.238796626523288e-07 |
| 0.01886771 | 3.8 |   3.60855627289772e-07 |
| 0.02116992 | 3.8 |  3.867701293858129e-07 |
| 0.02375304 | 3.8 |   8.49354880147003e-08 |
| 0.02665135 | 3.8 | 1.8157982606847038e-07 |
|  0.0299033 | 3.8 |  2.722569876646943e-07 |
| 0.03355206 | 3.8 | 1.1040709312831051e-07 |
| 0.03764603 | 3.8 | 2.6881623518752997e-07 |
| 0.04223954 | 3.8 |  1.754873868381814e-07 |
