Mordred

Well string theory employed the graviton as the primary string. On that basis. The reasoning has to do with the theoretical mass as being the heaviest boson on terms of both rest mass and inertial mass. Of the particle family (assuming the graviton exists) it would be the first vector boson to drop out the thermal equilibrium state. Photons would drop out on electroweak symmetry break after gravity drops out of the super gravity state. Higgs boson also coincides with electroweak as it gives mass to the weak field particles. It involves photons without giving mass to photons.

The best way to demonstrate the complexity is to post the following beginner's guide to path integrals. It would take far too long to latex and explain the relevant formulas Arxiv article on phone atm. https://www.google.com/url?sa=t&source=web&rct=j&url=https://arxiv.org/pdf/1602.04182&ved=2ahUKEwjTvbWChubjAhXTqp4KHXwVDYsQFjAAegQIAhAB&usg=AOvVaw1RmEFniQcXGeRgZn8jX5Cz

A complicated procedure called path integrals of QFT. They vary on the particles properties. Each particle has its own wavefunctions based upon its principle quantum numbers. Those path integrals are represented by the Feymann diagrams. Unfortunately there is no easy way to describe them as it's a lengthy process to understand a vertex formula.

My questions can be easily answered. I hope to see your answers tomorrow. These answers are important for you to understand. You don't need your model to answer them.

A photon only interacts with the EM field it will not interact with other fields such as the strong force or weak force. So it cannot be a vector quage boson with fields it doesn't interact with.

Ok this simplifies the question. When a state is entangled the two particles are in a superposition state. once entangled the particle regardless of type that superposition state has a correlation function(probabilistic ) Once you examine one of the states. You have removed the probabilistic state to a determined state. As a consequence of being entangled you will instantly know the state of the other particle. This does not violate FTL as it's really a case of preparation. In order to entangle two particles you must first prepare them. Ie monochromatic beams passing through a beam splitter (Bells experiment). Factors in the correlation function include spin conservation and other conservation laws. Number of polarity states possible. Etc.

Oh let's examine the outside observer to a BH. What point do you get infinite redshift A) the event horizon B) the singularity Under graph why is this the case ?. Of the two listed above which singularity is apparent ? How does LQC avoid the true singularity condition ?

What is the range of set [latex] \mathbb{R}[/latex] how can one compactify this set ? Well they do represent a lack of understanding in cosmology. As well as mathematics. They are all related to causes of disbelief in modern cosmology.

Ah well there is several questions being asked. Let's start with singularity. First off there is two types commonly known the singularity of a BH and the singularity of the BB. Both describe a point where the mathematics breaks down. Both can be addressed by compactification of a group. Any infinite quantity contains finite quantities. Restricting a group or dimension to its finite portions is this process. So in the case of the BB one can restrict the infinite quantities by using Planck's temperature which is the theoretical upper bounds UV limit. Ever use a graph ? If you have a curve approaching a coordinate ie x=1 then you can have an infinite number of divisions without meeting x=1. Another common example take 1 meter and continuously divide each portion by half. Your dealing with a consequence of number sets. Let's ask a question. How many coordinates exist in a 1 meter cubic square ? The universe is defined as everything that exists there is no outside. Next question Let's assume LQCM is correct a collapsed universe can bounce into an expanding universe. A universe doesn't need to expand into anything. You only need to decrease mass density to get expansion. That is the whole process of thermodynamics in terms of expansion. Didn't we already cover these questions before ? I'm positive you used these as previous arguments in your lengthy Hubble illusion thread. Quite frankly every question you posted is common on forums.. hint hint.

Your going to need to clarify this question. Are you talking about entangled states or superposition states ? Though entangled included superposition. A particle state can be in superposition without being entangled.

I asked you to repeat that question. Are you asking for a non DM Kepler curve graph? Yes or no Glad to help

Lol think a forum is bad try being married. Lol that aside I never come to forums to learn. I come to help teach. I mastered self research two decades ago. Three decades or more studying physics with a personal collection of over 500 textbooks drives my wife batty. One learns to realize how intensive the research really is and how interconnected different theories really are. Particularly when you focus on mathematical methodologies... To be honest after studying CKM for Higgs involvement. I'm running out of ideas what to research next.

Sure your welcome to your opinion same as I am. You wish to label me a troll yet I spent a considerable amount of time teaching you how to properly model build. Then you go and forget all the lessons I tried to teach you. Not once did I believe in a Hubble illusion, that didn't stop me from trying to teach you proper technique. A good theorist accepts any challenge to his model. He then takes the criticism and strengthens his model by addressing those issues. That builds strength on a model. No model starts out having all the answers, no model that survives stays in its original form. All models adapt accordingly to challenges presented. No idea never heard that term myself so attributed it to a typo.

A forum always has other readers than participants. The same applies on the Journal site. This is why I have been stressing accuracy. Especially on articles that have been through peer review. Imagine a student reading your article trying to learn the metric tensor [latex]g_{\mu\nu}[/latex] and you are declaring an incorrect usage ? As well as an incorrect basis ? Ask yourself this what the definition of a tensor ? Now think about that poor student...

So ? Does that factor somehow into our debate ? Let's try this. What is the basis of a metric tensor. By mathematical definition its [latex]g=\vec {V}\cdot V [/latex] Where does a coordinate contain those components ?

More than two of us. Are you going to address your direct reference to tensors in the section of your article of not ? You would be amazed how many posters simply read but don't post.

Answer which question I asked you specifically to define it last post. The quoted section from your article stated otherwise. Directly from your article Would you like the page and line number as well?

See my edit above you directly referred them as a tensor within the article and as the basis of Einstein's tensor. (We cross posted as I had to download to find the sections in your article) Graph to galaxy rotation curve ? Without DM. Shouldn't you already have one to match your claim of being to account for those curves ?

You explicitly identified those objects as being Einstein's fundamental metric. Einstein's fundamental metric is a tensor. What you have is not. So the falsehood is in your court. So go ahead try to blame me for misunderstanding when in truth I recognize the false representation in your article. From your article itself Wrong. That is directly from your article try again you even reference them as being Einstein's basis for tensors within the article.... So not a tensor by your own admission on this site but in the article you claim they are...

Did you miss the part about the four momentum ? Did you miss the part about covariant and contravariant terms ? There is no covariant and contravariant terms with strictly coordinates.

Correct NOT A TENSOR so why does your article claim it is Einstein's fundamental metric when it's not? Get the drift. False claim, you even claimed you got the form in your article from Principles of Relativity. Until I called you up on that.. Just as you claimed you could handle galaxy rotation curves without DM yet could not provide a single shred of data. You want to know why I disagree with the peer review process at the site you got published it's for these very lacks in your being unable to provide evidence in defense of your conjecture. If they couldn't spot such an obvious lack of mathematics disquised as Einsteins metric tensor(fundamental,hell fires the very term fundamental metric pulls up hits on google) I have zero respect for their peer review process.

Roflmao you didn't even acknowledge you were using the fundamental metric in your own personal fashion. Until I forced you to do so. So good try on that score. Don't tell me I don't recognize what his metric tensor represents. Roflmao you didn't even acknowledge you were using the fundamental metric in your own personal fashion. Until I forced you to do so. So good try on that score. Don't tell me I don't recognize what his metric tensor represents. I bet you cannot even adapt that tensor to polar or cylindrical coordinates which is its very purpose. The fundamental metric tensor is not fundamental on a particular coordinate basis it is fundamental in its adaptation ability for any coordinate basis. That is one of the premises of GR. Mentioned in Principles of Relativity. NO COORDINATE BASIS HAS A HIGHER PRIORITY THAN ANY OTHER COORDINATE CHOICE. Give me a representation of Sagnac effect on the metric tensor for a rotating body. Which is a part of your paper when you discussed Neutron stars and BH'S. Though you categorized them under some acronym (I already deleted your paper to trash can) so don't feel like repeating that by downloading it again. Polar and cylindrical coordinates are too easily Google'd

I will and trust in one detail, I have banged away that am confident to myself in my overall understanding of any mainstream physics topic. Currently I have figured out CKM mixing angles with regards to electroweak symmetry breaks within the SM model. I can correlate those mixing angles into such details into DE and am currently looking into applications with regards to DM. However the mathematics are far beyond anything that is readily described via a forum. I may be good at describing the complex in laymen terms but not that good. Please note I did describe numerous over sites in your article which you did not fully address except through a hand waving fashion. I recognized from my first reading that you were not following any Einstein methodology in your seemingly tensors that you falsified by the claimed as Einstein fundamental metric. After confrontation you eventually admitted they were your own creation. Which you do not mention in your article. You made numerous claims you have not shown any adequacy in defending. So absolutely nothing I have seen in this thread nor your article has convicted me that my studies into mainstream physics in Cosmology applications is in error. (That list includes the Hubble Illusion thread ) in which I pointed out several of the issues in this thread. (Lol I even provided the redshift corrections beyond Hubble horizon for you) which you ignored.

I will address more issues later however let's start with one boson for everything. This would violate several conservation laws. Conservation of spin as the only valid spin for Higgs boson is zero, while photon is spin 1. Graviton will need spin 2. Other conservation laws are lepton number/ color/ flavor/charge/iso pin/energy momentum. Etc

Obviously it's not as clear as you might like to think. Anyways enough said on that issue. The main issues I have mentioned already. It's up to you what you do with those details. Makes no difference to me. I will stick to the predictive power of LCDM [latex]{\small\begin{array}{|c|c|c|c|c|c|}\hline T_{Ho} (Gy) & T_{H\infty} (Gy) & S_{eq} & H_{0} & \Omega_\Lambda & \Omega_m\\ \hline 14.4&17.3&3400&67.9&0.693&0.307\\ \hline \end{array}}[/latex] [latex]{\small\begin{array}{|r|r|r|r|r|r|r|r|r|r|r|r|r|r|r|r|} \hline a=1/S&S&z&T (Gy)&R (Gly)&D_{now} (Gly)&D_{then}(Gly)&D_{hor}(Gly)&D_{par}(Gly)&V_{gen}/c&V_{now}/c&V_{then}/c&H/Ho \\ \hline 0.000&20000.000&19999.000&0.000002&0.000004&46.176564&0.002309&0.003133&0.000004&205.563&3.207&659.180&4111262.687\\ \hline 0.000&17289.385&17288.385&0.000002&0.000005&46.165643&0.002670&0.003624&0.000006&179.716&3.206&576.161&3107182.561\\ \hline 0.000&14946.142&14945.142&0.000003&0.000006&46.153161&0.003088&0.004191&0.000007&157.348&3.205&504.314&2351750.032\\ \hline 0.000&12920.481&12919.481&0.000004&0.000008&46.138916&0.003571&0.004847&0.000010&137.985&3.204&442.117&1782835.135\\ \hline 0.000&11169.359&11168.359&0.000006&0.000011&46.122686&0.004129&0.005605&0.000013&121.217&3.203&388.253&1353913.715\\ \hline 0.000&9655.567&9654.567&0.000007&0.000014&46.104229&0.004775&0.006482&0.000017&106.688&3.202&341.582&1030136.639\\ \hline 0.000&8346.941&8345.941&0.000010&0.000018&46.083280&0.005521&0.007496&0.000022&94.093&3.200&301.120&785390.548\\ \hline 0.000&7215.674&7214.674&0.000013&0.000024&46.059553&0.006383&0.008668&0.000028&83.166&3.199&266.014&600099.813\\ \hline 0.000&6237.728&6236.728&0.000017&0.000031&46.032740&0.007380&0.010023&0.000037&73.678&3.197&235.527&459582.602\\ \hline 0.000&5392.325&5391.325&0.000022&0.000041&46.002511&0.008531&0.011589&0.000049&65.430&3.195&209.025&352821.232\\ \hline 0.000&4661.499&4660.499&0.000029&0.000053&45.968515&0.009861&0.013398&0.000063&58.252&3.192&185.956&271542.271\\ \hline 0.000&4029.723&4028.723&0.000038&0.000069&45.930379&0.011398&0.015489&0.000083&51.996&3.190&165.846&209528.248\\ \hline 0.000&3483.571&3482.571&0.000049&0.000089&45.887713&0.013173&0.017905&0.000108&46.533&3.187&148.286&162102.591\\ \hline 0.000&3011.440&3010.440&0.000064&0.000115&45.840102&0.015222&0.020697&0.000141&41.755&3.183&132.922&125744.099\\ \hline 0.000&2603.298&2602.298&0.000083&0.000147&45.787114&0.017588&0.023921&0.000183&37.567&3.180&119.451&97798.341\\ \hline 0.000&2250.471&2249.471&0.000107&0.000189&45.728297&0.020319&0.027645&0.000238&33.887&3.176&107.611&76261.538\\ \hline 0.001&1945.463&1944.463&0.000138&0.000242&45.663177&0.023472&0.031946&0.000309&30.645&3.171&97.177&59618.702\\ \hline 0.001&1681.793&1680.793&0.000178&0.000308&45.591258&0.027109&0.036912&0.000400&27.781&3.166&87.957&46722.371\\ \hline 0.001&1453.858&1452.858&0.000229&0.000392&45.512021&0.031304&0.042644&0.000517&25.244&3.161&79.786&36701.715\\ \hline 0.001&1256.816&1255.816&0.000293&0.000498&45.424920&0.036143&0.049261&0.000668&22.990&3.155&72.523&28894.398\\ \hline 0.001&1086.479&1085.479&0.000375&0.000632&45.329382&0.041721&0.056896&0.000860&20.981&3.148&66.046&22795.447\\ \hline 0.001&939.227&938.227&0.000479&0.000799&45.224799&0.048151&0.065705&0.001107&19.185&3.141&60.252&18018.870\\ \hline 0.001&811.933&810.933&0.000610&0.001009&45.110530&0.055559&0.075865&0.001421&17.574&3.133&55.053&14268.819\\ \hline 0.001&701.891&700.891&0.000776&0.001272&44.985893&0.064092&0.087582&0.001821&16.125&3.124&50.374&11317.881\\ \hline 0.002&606.763&605.763&0.000984&0.001602&44.850151&0.073917&0.101089&0.002331&14.817&3.115&46.150&8990.691\\ \hline 0.002&524.528&523.528&0.001246&0.002013&44.702547&0.085224&0.116656&0.002977&13.635&3.104&42.327&7151.803\\ \hline 0.002&453.439&452.439&0.001576&0.002528&44.542240&0.098232&0.134592&0.003798&12.562&3.093&38.856&5696.020\\ \hline 0.003&391.984&390.984&0.001989&0.003171&44.368340&0.113189&0.155250&0.004837&11.586&3.081&35.698&4541.568\\ \hline 0.003&338.858&337.858&0.002507&0.003973&44.179892&0.130379&0.179033&0.006151&10.697&3.068&32.818&3624.660\\ \hline 0.003&292.932&291.932&0.003156&0.004973&43.975866&0.150123&0.206406&0.007812&9.884&3.054&30.185&2895.401\\ \hline 0.004&253.231&252.231&0.003967&0.006221&43.755157&0.172788&0.237894&0.009908&9.140&3.039&27.774&2314.657\\ \hline 0.005&218.910&217.910&0.004983&0.007777&43.516576&0.198787&0.274101&0.012552&8.459&3.022&25.562&1851.663\\ \hline 0.005&189.241&188.241&0.006251&0.009715&43.258839&0.228591&0.315712&0.015881&7.832&3.004&23.529&1482.174\\ \hline 0.006&163.593&162.593&0.007836&0.012131&42.980568&0.262728&0.363509&0.020072&7.256&2.985&21.658&1187.044\\ \hline 0.007&141.421&140.421&0.009814&0.015140&42.680274&0.301795&0.418376&0.025342&6.725&2.964&19.934&951.123\\ \hline 0.008&122.254&121.254&0.012281&0.018888&42.356356&0.346461&0.481319&0.031965&6.236&2.941&18.343&762.400\\ \hline 0.009&105.685&104.685&0.015360&0.023555&42.007089&0.397474&0.553475&0.040281&5.785&2.917&16.874&611.341\\ \hline 0.011&91.362&90.362&0.019198&0.029366&41.630613&0.455669&0.636127&0.050717&5.367&2.891&15.517&490.365\\ \hline 0.013&78.979&77.979&0.023982&0.036601&41.224927&0.521971&0.730722&0.063805&4.981&2.863&14.261&393.435\\ \hline 0.015&68.275&67.275&0.029945&0.045607&40.787876&0.597404&0.838883&0.080210&4.625&2.832&13.099&315.740\\ \hline 0.017&59.022&58.022&0.037374&0.056818&40.317137&0.683089&0.962426&0.100761&4.294&2.800&12.022&253.440\\ \hline 0.020&51.023&50.023&0.046628&0.070773&39.810212&0.780248&1.103379&0.126494&3.988&2.765&11.025&203.469\\ \hline 0.023&44.107&43.107&0.058154&0.088140&39.264409&0.890200&1.263992&0.158700&3.704&2.727&10.100&163.376\\ \hline 0.026&38.129&37.129&0.072507&0.109755&38.676834&1.014355&1.446749&0.198990&3.441&2.686&9.242&131.202\\ \hline 0.030&32.962&31.962&0.090379&0.136654&38.044371&1.154197&1.654382&0.249376&3.197&2.642&8.446&105.376\\ \hline 0.035&28.494&27.494&0.112630&0.170126&37.363667&1.311262&1.889865&0.312362&2.971&2.595&7.708&84.643\\ \hline 0.041&24.633&23.633&0.140330&0.211778&36.631117&1.487101&2.156417&0.391072&2.760&2.544&7.022&67.996\\ \hline 0.047&21.294&20.294&0.174810&0.263603&35.842847&1.683229&2.457480&0.489403&2.565&2.489&6.385&54.628\\ \hline 0.054&18.408&17.408&0.217725&0.328081&34.994692&1.901049&2.796687&0.612206&2.384&2.430&5.794&43.892\\ \hline 0.063&15.913&14.913&0.271135&0.408293&34.082186&2.141751&3.177806&0.765530&2.216&2.367&5.246&35.269\\ \hline 0.073&13.756&12.756&0.337600&0.508064&33.100541&2.406175&3.604661&0.956907&2.060&2.299&4.736&28.343\\ \hline 0.084&11.892&10.892&0.420302&0.632135&32.044639&2.694622&4.081006&1.195721&1.916&2.225&4.263&22.780\\ \hline 0.097&10.280&9.280&0.523190&0.786374&30.909028&3.006618&4.610359&1.493649&1.781&2.146&3.823&18.312\\ \hline 0.113&8.887&7.887&0.651169&0.978020&29.687930&3.340591&5.195764&1.865225&1.657&2.062&3.416&14.724\\ \hline 0.130&7.683&6.683&0.810311&1.215961&28.375279&3.693465&5.839491&2.328514&1.541&1.971&3.037&11.842\\ \hline 0.151&6.641&5.641&1.008122&1.511033&26.964796&4.060144&6.542622&2.905956&1.435&1.873&2.687&9.530\\ \hline 0.174&5.741&4.741&1.253846&1.876293&25.450129&4.432867&7.304545&3.625372&1.337&1.767&2.363&7.675\\ \hline 0.201&4.963&3.963&1.558799&2.327179&23.825108&4.800429&8.122326&4.521173&1.247&1.655&2.063&6.188\\ \hline 0.233&4.290&3.290&1.936716&2.881408&22.084174&5.147268&8.989970&5.635767&1.165&1.534&1.786&4.998\\ \hline 0.270&3.709&2.709&2.404043&3.558280&20.223075&5.452469&9.897627&7.021120&1.091&1.404&1.532&4.047\\ \hline 0.312&3.206&2.206&2.980053&4.376931&18.239956&5.688795&10.830860&8.740393&1.026&1.267&1.300&3.290\\ \hline 0.361&2.772&1.772&3.686596&5.352847&16.136965&5.821954&11.770188&10.869429&0.971&1.121&1.088&2.690\\ \hline 0.417&2.396&1.396&4.547172&6.492006&13.922435&5.810487&12.691280&13.497756&0.926&0.967&0.895&2.218\\ \hline 0.483&2.071&1.071&5.584972&7.782713&11.613472&5.606733&13.566290&16.728640&0.893&0.806&0.720&1.850\\ \hline 0.558&1.791&0.791&6.819766&9.187222&9.238127&5.159198&14.366647&20.677895&0.875&0.642&0.562&1.567\\ \hline 0.646&1.548&0.548&8.263398&10.638174&6.836876&4.416787&15.067772&25.471023&0.874&0.475&0.415&1.354\\ \hline 0.747&1.338&0.338&9.916385&12.046512&4.459391&3.332534&15.653372&31.241059&0.893&0.310&0.277&1.195\\ \hline 0.864&1.157&0.157&11.765822&13.322302&2.159206&1.866567&16.119055&38.127444&0.934&0.150&0.140&1.081\\ \hline 1.000&1.000&0.000&13.787206&14.399932&0.000000&0.000000&16.472274&46.278944&1.000&0.000&0.000&1.000\\ \hline 1.157&0.864&-0.136&15.949257&15.253049&2.025259&2.342778&16.729017&55.860281&1.092&0.141&0.154&0.944\\ \hline 1.330&0.752&-0.248&18.119937&15.868602&3.776034&5.021225&16.902532&66.541642&1.207&0.262&0.316&0.907\\ \hline 1.529&0.654&-0.346&20.364351&16.316986&5.351007&8.179614&17.022584&78.899686&1.349&0.372&0.501&0.883\\ \hline 1.757&0.569&-0.431&22.661663&16.633777&6.753533&11.867295&17.103595&93.162722&1.521&0.469&0.713&0.866\\ \hline 2.020&0.495&-0.505&24.995938&16.852681&7.993330&16.146258&17.156887&109.598461&1.726&0.555&0.958&0.854\\ \hline 2.322&0.431&-0.569&27.355554&17.001597&9.083612&21.092407&17.190833&128.519287&1.967&0.631&1.241&0.847\\ \hline 2.669&0.375&-0.625&29.732316&17.101816&10.038989&26.796679&17.211369&150.287986&2.248&0.697&1.567&0.842\\ \hline 3.068&0.326&-0.674&32.120574&17.168771&10.874126&33.366354&17.222580&175.324334&2.574&0.755&1.943&0.839\\ \hline 3.527&0.284&-0.716&34.516493&17.213286&11.602965&40.926708&17.227206&204.112836&2.951&0.806&2.378&0.837\\ \hline 4.055&0.247&-0.753&36.917669&17.242614&12.238388&49.623281&17.242614&237.211976&3.386&0.850&2.878&0.835\\ \hline 4.661&0.215&-0.785&39.322038&17.262122&12.791888&59.623757&17.262122&275.264135&3.888&0.888&3.454&0.834\\ \hline 5.358&0.187&-0.813&41.728630&17.275006&13.273834&71.122086&17.275006&319.008947&4.466&0.922&4.117&0.834\\ \hline 6.159&0.162&-0.838&44.136688&17.283510&13.693343&84.341439&17.283510&369.296866&5.132&0.951&4.880&0.833\\ \hline 7.080&0.141&-0.859&46.545713&17.289121&14.058427&99.538637&17.289121&427.105797&5.897&0.976&5.757&0.833\\ \hline 8.139&0.123&-0.877&48.955376&17.292823&14.376104&117.009086&17.292823&493.560063&6.778&0.998&6.766&0.833\\ \hline 9.356&0.107&-0.893&51.365458&17.295268&14.652505&137.092490&17.295268&569.952239&7.790&1.018&7.927&0.833\\ \hline 10.755&0.093&-0.907&53.775817&17.296884&14.892977&160.179433&17.296884&657.768267&8.954&1.034&9.261&0.833\\ \hline 12.364&0.081&-0.919&56.186358&17.297955&15.102184&186.718955&17.297955&758.716349&10.292&1.049&10.794&0.832\\ \hline 14.213&0.070&-0.930&58.597192&17.298492&15.284198&217.227456&17.298492&874.760335&11.831&1.061&12.558&0.832\\ \hline 16.338&0.061&-0.939&61.007932&17.298966&15.442527&252.298033&17.298966&1008.157223&13.600&1.072&14.585&0.832\\ \hline 18.781&0.053&-0.947&63.418723&17.299285&15.580263&292.613061&17.299285&1161.502106&15.633&1.082&16.915&0.832\\ \hline 21.589&0.046&-0.954&65.829549&17.299500&15.700084&338.956767&17.299500&1337.777952&17.971&1.090&19.593&0.832\\ \hline 24.818&0.040&-0.960&68.240398&17.299648&15.804318&392.230657&17.299648&1540.413806&20.658&1.098&22.673&0.832\\ \hline 28.529&0.035&-0.965&70.651261&17.299752&15.894994&453.471049&17.299752&1773.351488&23.747&1.104&26.213&0.832\\ \hline 32.795&0.030&-0.970&73.062134&17.299826&15.973875&523.869234&17.299826&2041.122274&27.298&1.109&30.282&0.832\\ \hline 37.700&0.027&-0.973&75.473014&17.299881&16.042495&604.794651&17.299881&2348.935043&31.380&1.114&34.959&0.832\\ \hline 43.337&0.023&-0.977&77.883897&17.299923&16.102188&697.821519&17.299923&2702.777600&36.073&1.118&40.337&0.832\\ \hline 49.818&0.020&-0.980&80.294784&17.299957&16.154117&804.759467&17.299957&3109.533156&41.467&1.122&46.518&0.832\\ \hline 57.267&0.017&-0.983&82.705845&17.299812&16.199293&927.688905&17.299812&3577.114400&47.668&1.125&53.624&0.832\\ \hline 65.831&0.015&-0.985&85.116734&17.299837&16.238589&1069.000801&17.299837&4114.616727&54.796&1.128&61.793&0.832\\ \hline 75.675&0.013&-0.987&87.527625&17.299860&16.272774&1231.444233&17.299860&4732.496211&62.990&1.130&71.182&0.832\\ \hline 86.991&0.011&-0.989&89.938516&17.299880&16.302512&1418.179173&17.299880&5442.772310&72.410&1.132&81.976&0.832\\ \hline 100.000&0.010&-0.990&92.349407&17.299900&16.328381&1632.838131&17.299900&6259.261851&83.237&1.134&94.384&0.832\\ \hline \end{array}}[/latex]