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237 lines (237 loc) · 161 KB
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MTP
version = 1.1.0
potential_name = MTP1m
scaling = 3.623238816076282e-01
species_count = 6
potential_tag =
radial_basis_type = RBChebyshev
min_dist = 1.718740000000000e+00
max_dist = 4.800000000000000e+00
radial_basis_size = 8
radial_funcs_count = 5
radial_coeffs
0-0
{1.019096645790263e-01, -1.689300513582052e-01, 9.195559481606259e-03, -8.051487628230083e-02, -2.315548176875232e-02, -4.369310116080706e-02, -5.067674374516667e-03, -8.892134892657033e-03}
{-4.645675222466696e-02, 1.479036537326342e-02, -1.209320209649736e-01, -1.004460533348779e-01, -5.690048618256038e-02, -5.081911349116456e-02, -1.056177053635004e-02, -8.997671934513996e-03}
{-8.886137633285716e-02, -1.230870994314405e-01, -8.149654847653891e-02, -1.758028871082271e-01, -1.431669095542336e-01, -6.312841595661282e-02, -4.474070855123548e-02, -9.319185085694221e-03}
{-1.310598706546794e-01, -1.484282064380597e-03, -2.820847052826057e-01, 1.164675411928540e-01, -1.811860232863683e-01, -4.300143201642399e-02, -4.012230429817172e-02, -1.969382105359717e-03}
{7.415623949962824e-02, -1.176718145693963e-01, 3.786022973095764e-02, -2.402192171533494e-02, 7.241686558718843e-02, -1.305362737245958e-02, 2.658340290795329e-02, 1.240168791902037e-02}
0-1
{1.112403944097128e-01, -7.202777504235961e-04, 2.019545950422873e-02, 3.950354511212495e-02, -1.239066226190564e-02, 1.789668282480986e-02, 3.759812649259446e-03, 6.395833980159197e-03}
{1.614069162380847e-02, 2.626899352811227e-01, -8.396656862072789e-03, 8.582210736201740e-02, 9.726388247413436e-03, 3.771828844069131e-02, 7.848423284772928e-03, 1.182666923726830e-02}
{6.981466545733916e-02, 6.270576392226876e-02, 1.955276764299889e-01, -2.174407485977319e-02, 1.809969342191541e-02, 9.648130501436801e-03, -3.629648607327170e-03, 4.587504976057984e-03}
{2.171618945722123e-02, -5.011530743964015e-02, -7.551878388519960e-02, 1.168841350162436e-02, -9.163206854275523e-02, -8.680197132233135e-02, -8.920507034252390e-03, -1.748130946628690e-03}
{7.953851779352669e-02, 4.373852671390868e-02, 4.367353235105264e-02, -3.858180662341153e-02, 3.830094297658723e-02, -9.716258277957836e-02, -8.486739502040867e-03, -1.398574632404162e-02}
0-2
{1.120672259336938e-01, -3.368872674655612e-02, 6.395000738156888e-02, 2.726915816561474e-02, 1.774635460923720e-02, 5.475300869687548e-03, 4.756852979298293e-03, -1.927289714585515e-03}
{2.213461270720532e-02, 2.070225243502470e-01, 5.993268081274608e-03, 6.096497533623339e-02, 1.638151355692777e-02, 1.652854834218731e-02, 3.520008275885267e-03, 3.408471428670264e-03}
{2.241280144824868e-02, 1.164220470453801e-01, 1.144247219217389e-01, 1.268496329635405e-02, 3.527866432324690e-04, 3.250758111355468e-02, -5.583221837715571e-03, 1.326627179223669e-02}
{3.752437171635938e-02, 5.376974799272251e-02, -2.961754055921200e-02, 1.331320915417321e-01, -2.994854282827292e-03, 5.299934275221030e-03, 2.228266773115224e-02, -1.924546399088425e-02}
{7.364441191077691e-02, -1.241596660160392e-02, -4.992624424869471e-02, -5.846273907669702e-02, 1.011368394958289e-01, -2.344313432549666e-02, 5.155353854420087e-02, -3.965178433838456e-02}
0-3
{5.440380747645162e-02, 1.589080592840167e-02, -3.331689537850097e-02, 6.913069085972867e-02, -4.113893671956294e-02, 9.800000383385927e-03, -8.047002900025114e-03, 9.778531356282440e-04}
{4.462698285725667e-02, 1.049063241425091e-01, 4.013425921249958e-02, -4.128518840622469e-03, 2.675228298404511e-02, -2.322536919725498e-02, 3.354565640569503e-03, -4.386474222460576e-03}
{7.011042648159360e-04, 1.220650974804824e-02, 1.009402525950723e-01, -5.010280388742196e-02, 1.631975141200040e-02, 1.112030740052568e-02, -3.838504016988641e-03, 3.388745693102590e-03}
{2.351080808434752e-02, -1.827368347397465e-02, -7.249567326086101e-02, 9.156140387523130e-02, -9.308532007275976e-03, 5.823295050934551e-02, 3.965873308202456e-02, 4.028585125750954e-02}
{1.339101001974250e-01, 3.899951709707845e-02, -7.650844631308522e-02, -8.459502408928168e-02, 8.704117211261249e-02, -1.835864696926499e-02, 4.979667343134411e-02, 2.603116179870720e-02}
0-4
{1.216356059214152e-01, -7.943397757264659e-02, 3.764102730335895e-02, -6.569397651384024e-03, -9.956904703153979e-03, -3.735751859778023e-02, -1.917814269363613e-03, -9.161867904500538e-03}
{5.654628601501758e-02, 8.280635351359447e-02, 5.365003678881690e-02, -3.575856253689286e-02, 4.312907257783937e-02, -3.594474720359762e-02, 6.070777983827123e-03, -6.963402146663861e-03}
{-2.474967427013822e-02, -4.214514151018529e-03, 6.450759432702277e-02, -5.867365419987292e-02, -2.158527773622242e-02, 1.451049609145105e-02, -1.339636108080899e-02, 5.034600686954697e-03}
{-1.816946061321413e-02, -1.085018726811511e-01, -5.946264298405429e-02, 9.414100676065881e-02, 3.240903779006575e-02, 2.766576326927536e-02, 2.577032863787772e-02, 1.490773833107949e-02}
{5.474447401095887e-02, -6.537908116378928e-03, -3.649935402735607e-02, 2.689578810289097e-02, 1.500444247013763e-01, -2.489809922680183e-03, 1.624401761690619e-02, -1.687100945805392e-02}
0-5
{8.919387438790627e-02, -1.231882428509970e-01, -5.233972555181804e-04, -2.199247843994300e-02, -1.677298536720776e-02, -4.364783492544962e-02, -3.767919605507035e-03, -1.138053420675109e-02}
{3.933858414393054e-02, 4.014820953812392e-02, 3.358438723182362e-02, -5.597300127916974e-02, 4.440288772512035e-02, -3.568937156689624e-02, 7.628667915803187e-03, -7.381961453965908e-03}
{-6.810036269438552e-03, 1.078893592177216e-02, 7.818761102284608e-02, -4.065913390532541e-02, -1.835539659282684e-02, 4.642100906522765e-02, -2.818626857944746e-03, 1.552176240500123e-02}
{-5.398344484557777e-02, -1.651769380515780e-01, -1.275547532179521e-01, 6.251261058964189e-02, -4.485929811532900e-02, 2.377342369097311e-02, 1.518823612777693e-02, 4.121336040593698e-02}
{7.276265933473156e-02, 1.450894459732260e-02, -2.437143555175391e-02, 1.279350847715733e-02, 9.242814013777430e-02, 2.558488848449726e-04, 7.416855456624711e-03, 1.445335027311302e-02}
1-0
{1.236384827896424e-01, -1.820901934391424e-02, 3.332602075960513e-02, 2.301517225450032e-02, -2.382507024833837e-02, -1.514884262440040e-02, -1.060399093264111e-02, -1.872574379803004e-03}
{-2.672431347789524e-02, 2.788028096702067e-01, -7.002547379754380e-02, 8.123115074923778e-02, -2.887491429661975e-02, 2.345832524245151e-02, -7.630053553269002e-03, 7.959357658353830e-03}
{-3.395067913770529e-03, 2.514288726948762e-02, 9.433156799478568e-02, -2.178063355513296e-02, -3.116066083269281e-02, 2.258391140214293e-02, -5.914508949353124e-03, 1.276338562144334e-02}
{2.551190896043237e-02, -2.217230637746170e-02, -3.911181470674129e-02, 3.044113600002673e-02, -8.551028116933505e-02, -1.505289356161878e-01, -2.583529980530531e-02, -1.309764406688089e-02}
{1.197313587942549e-01, 3.554399409691835e-02, 4.262760638024365e-02, -4.756315764219179e-02, -1.905525676672095e-02, -6.888088012961097e-02, -1.282713176497667e-02, 2.585842799960218e-02}
1-1
{1.213315784364228e-01, -9.768908953251072e-02, 2.641473547377102e-02, -2.221589570434506e-02, -2.974846752513100e-02, -3.394613245318034e-02, -1.315094023879808e-02, -8.772403893787245e-03}
{-2.872336510604373e-02, 1.886713574740152e-01, -7.929603810733131e-02, 6.903947679427961e-03, -3.750093582698220e-02, -1.436873010576138e-02, -7.356370926512517e-03, -4.732905384646163e-04}
{8.287534996177751e-03, -6.383110807418615e-02, 8.399163035255655e-02, -9.008317659479344e-02, -4.655865051368763e-02, 1.797197099892527e-02, -4.627644923752919e-03, 2.084944880756048e-02}
{-1.318485101679725e-01, -3.500171458360674e-02, -2.543337849865892e-01, 1.056570322067126e-01, -1.322173722866576e-01, -2.237535105062842e-02, -1.617942661655997e-02, 2.757065353060201e-02}
{3.579142354374544e-02, -1.369466515114110e-01, 2.374545701373916e-02, -6.717668298640785e-02, 4.441473602929440e-02, -3.533864551924040e-02, 2.699339883170536e-03, 2.951752293791066e-02}
1-2
{1.335283956065605e-01, -1.041589453754659e-02, 8.106671512910066e-02, 3.859754291951579e-02, 9.537345758828338e-03, -2.874947234471072e-03, -2.073439371294318e-03, -2.912512196735659e-03}
{3.351586903803699e-02, 2.073304135978591e-01, 3.564531837545088e-02, 5.652897544106796e-02, 2.816432317166139e-02, 9.151496452221882e-03, 6.099090145809416e-03, 1.733081174600236e-03}
{-1.980368999922777e-02, 1.083912106873486e-01, 6.763088647674396e-02, 4.067252187949572e-02, -1.736235597416546e-02, 6.446120005152819e-02, 2.689448719700279e-03, 2.629828687489390e-02}
{-2.914773924503590e-04, 4.848889862661875e-02, -1.303556313693340e-01, 9.665586790213165e-02, -7.293117156251119e-02, -6.886938590736386e-03, 1.893623921561197e-02, 4.955949803765754e-03}
{8.878883984298518e-02, 1.716750448409809e-02, -6.529082132932804e-02, -6.258941923214675e-02, 9.111771729151857e-02, 2.248985751052743e-02, 7.656414446204267e-02, 5.798149800968008e-03}
1-3
{9.255468496422244e-02, -5.028103463180743e-02, 1.518862413175197e-02, 2.831138795697577e-02, -1.339988614212242e-02, -6.950286917045578e-03, -3.284205781677746e-03, -2.646124147664718e-03}
{5.402199630232920e-03, 2.051517043341649e-01, -9.711041815646342e-03, 7.132154999558471e-02, 1.149073583757054e-02, 1.749750357385047e-02, 5.383026499709372e-03, 4.764294096297715e-03}
{-3.741990099502735e-02, -2.957487793713842e-02, 7.646659448887316e-02, -3.722728742354536e-02, 2.203340730065303e-03, 2.981911108779908e-02, 5.647638293219986e-03, 1.888687881234416e-02}
{6.801301250023903e-02, -3.512607753012655e-02, -3.158722455077968e-02, 3.305998347655244e-02, -1.262113908372825e-02, -4.016962709823048e-02, -1.708028468715220e-02, -1.829217596663957e-02}
{1.674592935195039e-01, 9.267217341813143e-02, -7.940306432787188e-02, -1.168741171290174e-01, 5.147360948866416e-02, -1.030401932166408e-01, -4.090245361433002e-02, -6.268654015697039e-02}
1-4
{1.021459249582398e-01, -8.175476501838974e-02, 9.910428793696663e-03, 1.477408688382279e-02, -1.144400236702960e-02, -1.775843523635818e-02, 3.864245048463851e-03, -3.490449804313459e-03}
{2.047826091171183e-02, 7.093234141070327e-02, 1.371660042790350e-02, -3.370916868595350e-02, 2.362777268888085e-02, -2.965127238055406e-02, 3.569284646892005e-03, -2.523155732207546e-03}
{-7.411449436837418e-02, -5.069205317919893e-02, -4.244169501174807e-03, -7.570080006451871e-02, -6.915805037938944e-02, 1.193015212390202e-03, -2.504644951755530e-02, 3.353088310192184e-03}
{-2.568413159200657e-02, -1.233209841816644e-01, -9.000267769332246e-02, 5.464529188774790e-02, 2.252293724540756e-02, -3.521159242504102e-03, 3.300231169169755e-02, 1.754121495066380e-02}
{8.512321609444179e-02, 5.090585768542199e-02, -2.957757365743372e-02, -1.120967546911606e-02, 1.265386785447314e-01, -1.984643774517646e-02, 2.934755129248495e-02, -6.167166528013147e-03}
1-5
{9.161672823250688e-02, -1.177336557718635e-01, -7.723372606594137e-03, -1.192460902442001e-02, -2.947315291140009e-02, -3.972749180994999e-02, -6.295941343222770e-03, -6.250827413834651e-03}
{-5.713934604420500e-03, 7.955963435131018e-02, -2.719718755324145e-02, -2.351065765795090e-02, 7.329585733087986e-03, -1.767009659878873e-02, 3.168614359880981e-04, 1.657820100414397e-03}
{-7.610139116427790e-02, -6.714077550716323e-02, -1.280293579078427e-02, -6.464237810607423e-02, -6.237098673275038e-02, 3.737608159835668e-02, -9.018643373219963e-03, 1.467874773837166e-02}
{-1.314522162078094e-02, -1.696532568278287e-01, -8.504983375411931e-02, 4.253480977111935e-02, -1.105909681753339e-02, 3.835115861272251e-03, 2.352855521855274e-02, 3.540242551510421e-02}
{9.311275903462417e-02, 2.187390609279097e-02, -2.969631937256961e-02, -3.021551317906949e-03, 9.741140490511144e-02, 2.278985829538005e-02, 3.010202352041601e-02, 2.386492507943886e-02}
2-0
{1.032236048989350e-01, -8.503942162496284e-02, 3.413858052176149e-02, -1.530342789018349e-02, 4.528394670467891e-03, -4.962044017272962e-03, 7.095548561355030e-03, -3.024159341836739e-03}
{1.185579435040863e-02, 8.179532869046524e-02, -4.409979424627905e-03, 2.517132952066457e-03, 3.621084880144421e-02, 1.237530784451903e-02, 2.180284824841274e-02, 5.131115693473925e-04}
{4.556339437438754e-02, 1.117193482061726e-01, 1.488309154514485e-01, 1.354954145249357e-02, 4.539386522600745e-02, 5.183263655253203e-02, 2.754519524942035e-02, 2.033317328295007e-02}
{2.884161186885437e-02, 9.863129601178221e-02, -4.981906873455597e-02, 7.637914270814333e-02, -7.052403172423509e-02, -2.788222594620308e-02, -7.086808308843900e-03, 3.395010014641790e-02}
{5.187611231802751e-02, 5.407381612654386e-03, 4.349479013459690e-02, -5.298324824533018e-02, 4.297257265785141e-02, -9.025592259747579e-02, -2.168910781361165e-02, 2.536729191062870e-02}
2-1
{1.422351218134300e-01, -5.001834216985653e-02, 9.909011358467490e-02, 2.193562514327299e-02, 4.333546932112622e-02, 1.942240708439765e-02, 2.007840778938060e-02, 2.241473733533833e-03}
{2.263839496704202e-02, 1.701062688741869e-01, 1.442880969663508e-02, 6.189897229675773e-02, 4.207045908038731e-02, 3.624216567198029e-02, 2.354749303145690e-02, 7.906470049582934e-03}
{4.538861971118188e-02, 3.541943897153241e-02, 1.422572732139817e-01, -5.003757282560425e-02, 2.706979010191825e-02, 5.076008106962484e-03, 1.187755807362842e-02, 6.359991050450914e-03}
{-3.685877311683824e-02, 4.222063049510687e-02, -1.199208272751058e-01, 8.202132046636246e-02, -3.506798941325705e-02, -9.915220472216740e-05, 1.133390721846484e-02, 2.043239039862360e-02}
{5.075890056560772e-03, -2.021646385753139e-02, 3.591251198295971e-02, -2.877798190142191e-02, 8.993874262321895e-02, -6.378129910460761e-02, -6.799658289319548e-03, 1.290533259035394e-02}
2-2
{8.633034361062336e-02, -5.858526584041879e-02, 3.485564687575135e-02, 6.114622757036827e-03, 4.382218087121107e-03, 2.944653741771449e-03, 9.886030016531531e-04, -1.486575703934648e-03}
{-1.141456628535799e-02, 7.591505091810767e-02, -4.040779295066827e-02, 9.446383357637502e-03, -9.835058174032814e-05, 1.933143713881869e-03, 1.531649385457304e-03, -9.944208233209418e-04}
{-3.219841582097393e-04, 5.029349377773488e-02, 7.245354348685595e-02, -3.477226402832764e-02, 1.500488948632067e-02, 1.088092470771235e-02, 9.126101348918204e-03, 6.209566557759906e-03}
{4.742299671452253e-02, 1.164315188993391e-01, -5.743334827912021e-02, 8.868767711401657e-02, -2.175800624431105e-02, 2.432306422228589e-02, 2.412921790385915e-02, 1.019021791869244e-02}
{-2.113251294811912e-03, 1.067817433348768e-01, -1.542655485240153e-01, -5.252290132086532e-03, 1.694027039009735e-02, -8.582505420018717e-03, 1.683553946344980e-02, 5.002570084340692e-03}
2-3
{1.038733897307560e-01, -3.173646413218001e-02, 3.882416425326352e-02, 1.241273238116953e-02, -2.202023021569857e-02, -8.484280091474674e-03, -4.604835501982423e-03, -3.371550166244046e-03}
{2.702316160719838e-02, 1.465996966128487e-01, 1.969475515145558e-02, 6.304202518647871e-02, 2.976372228659419e-02, 1.704593109669538e-02, 8.309273068678598e-03, 2.166695027211969e-03}
{-6.192484753690513e-02, -3.130478686706297e-02, 1.673954721393416e-02, -3.424758686026048e-02, 3.471183447861482e-02, 2.383797360342011e-02, 5.521657562781512e-03, 4.701106611408351e-03}
{2.798821879024815e-02, 5.890571521430805e-03, -5.304747335698790e-02, 3.019351789171838e-02, 4.242676712754312e-03, 9.527202219408793e-03, 2.506407491692003e-02, 5.874315571865396e-03}
{4.652141749066763e-02, 4.623201513907017e-02, -9.216850169091720e-02, -5.114772123868301e-02, 6.880620935564430e-02, -1.831487078804984e-02, 2.318672808932672e-02, 2.979332485966294e-03}
2-4
{1.371242310976877e-01, -1.056945565454183e-02, 8.376944161856589e-02, 4.751514172210837e-02, 1.591223460246935e-02, 6.625942161047398e-04, 7.377231378435116e-03, -1.179042582947923e-04}
{9.217735671967840e-04, 1.077070463832931e-01, -2.795164156070663e-02, 2.089161374871749e-02, 8.003508868621332e-03, -3.729072164251818e-03, 6.850470442795139e-04, -8.809317591168306e-04}
{-6.795261431890680e-02, -1.085835327419861e-01, -1.942478815997293e-02, -1.287757630500140e-01, -1.673194109262884e-02, -9.905501809819349e-03, -4.733292428574517e-03, -2.215672051587274e-03}
{-3.408857491341290e-02, -4.125588817231928e-02, -1.070885192484961e-01, 4.931485902924955e-02, 2.978207096071640e-02, 2.368138806799623e-02, 2.815226944478499e-02, 8.199218336701663e-03}
{-5.507515385082220e-03, -1.923018615319845e-02, -5.742406595608994e-02, -3.387877119147928e-02, 1.488580730034133e-01, -4.211364729138502e-02, 2.323881166009852e-02, -2.476353292465897e-02}
2-5
{1.362216368597600e-01, -6.434919804523685e-02, 8.231798703879717e-02, 1.682101822172131e-02, 1.805356108829942e-02, -7.021794944525249e-03, 8.648875871348573e-03, -8.888453727207241e-05}
{-1.892907508825038e-02, 9.913705961088370e-02, -5.778311814400890e-02, 2.022769190459235e-02, 1.499907782685861e-03, 4.933063419290082e-03, 2.410263144695935e-03, 2.084752522739496e-03}
{-2.717686625801272e-02, -1.889096630661432e-01, 5.586224034497105e-02, -1.636068454539221e-01, 2.554694783464503e-02, -1.035863127769407e-02, 1.392770948947166e-02, -2.742964538004218e-04}
{-8.090318141078538e-02, -7.222133897549256e-02, -1.429785670223992e-01, 5.424537665721556e-02, 4.363259779638660e-03, 2.716415630659543e-02, 3.721799789034519e-02, 2.436268404203416e-02}
{2.597342806825235e-03, -2.893070002714949e-02, -3.255059362403673e-02, -7.110049200083758e-02, 1.123615024160405e-01, -6.735301057532939e-02, 2.237992509420844e-02, -5.583288615372821e-03}
3-0
{7.880782154278904e-02, -1.227260834643217e-01, 2.682540773586801e-02, 1.838770827141962e-02, 2.046410191428167e-02, 2.390544859459074e-02, 1.222003200123113e-02, 8.632917448096990e-03}
{-8.429263730051748e-02, 1.362971141070814e-01, -1.274640043042125e-01, 8.952236488203837e-02, -1.368003138349428e-03, 5.870580946442978e-02, 1.724069474573781e-02, 1.747929867146714e-02}
{8.474342313394660e-02, -8.370937585825260e-02, 2.010120792568191e-01, -1.220522148499034e-01, 5.794200197361739e-02, 1.816598819010120e-02, 4.138923444509624e-02, 2.735070895137438e-02}
{-7.979569705533372e-03, 3.390375894169849e-02, -1.251127678840079e-03, 1.867877954898052e-02, -6.661867479398309e-02, -1.928036848053991e-02, 2.693975940134821e-02, -3.889656331402906e-04}
{-6.347219612001492e-02, -3.433386915956204e-02, 7.533957948588138e-02, 6.520182181866994e-03, 8.217714087104303e-02, 1.246507318917860e-02, 3.722928418198486e-02, -1.406553520702001e-02}
3-1
{1.219052086405498e-01, -1.305048113206615e-02, 8.744286203871809e-02, 6.836125052773893e-02, 3.061752213341312e-02, 2.606195179701926e-02, 1.422132984697295e-02, 3.314839685591098e-03}
{-9.883405692185097e-03, 1.322777329713057e-01, -7.349088129970527e-03, 6.948028689503047e-02, 4.157425062371047e-02, 3.355282732963705e-02, 2.375309569914846e-02, 1.076538490044686e-02}
{4.997750343951601e-02, 8.950541015753179e-02, 1.493909142607971e-01, -2.745499186698775e-03, 5.298604135661941e-02, 6.535279690744614e-02, 3.423386623644088e-02, 2.878636941706878e-02}
{-1.603784563104668e-03, 2.331853241319777e-02, 5.691544947938460e-03, -4.221651274674453e-02, -6.502093417188622e-02, -8.187673465496642e-02, 5.279082118852896e-02, -1.691821097138277e-02}
{-7.591243625920611e-02, 3.894704523013782e-02, 8.876309674554346e-02, -2.969619160817897e-02, 1.994494910294789e-02, -8.437383355813456e-02, 6.233770575163487e-02, -8.602053060261105e-03}
3-2
{6.296452994851927e-02, -9.148977713407010e-02, 3.125299727774001e-02, 3.590990934137427e-02, 3.050650848006036e-02, 2.091645249648656e-02, 9.916128740671704e-03, 2.658588655450243e-03}
{-7.687328005227588e-02, -5.689901369491018e-02, -1.250976474007647e-01, -4.151326801073735e-02, -2.100807636919473e-02, -3.895145414959090e-03, 5.297417928981129e-03, 9.909650359895437e-04}
{-2.681947831398907e-02, -3.091480697961771e-02, 1.446569618813419e-02, -1.102658689000227e-01, -1.579203712723263e-02, 3.669424040244471e-03, 2.480711394128974e-02, 1.599820078844093e-02}
{4.753127291774321e-02, -1.824881092502057e-02, 7.584835082820005e-02, 5.166238096271388e-02, -4.564395190611841e-03, -6.338986630120649e-03, 1.341576647718250e-02, 9.424767185453970e-03}
{-2.352018487097987e-02, 1.353366328694723e-03, 1.627303426272091e-02, 3.826979157419337e-02, 3.994523068047495e-02, -1.510169815330103e-02, -8.708469899912377e-03, -5.182404056688890e-03}
3-3
{8.563735294731148e-02, -4.881894695452068e-02, 3.372422536979876e-02, 2.244098470285585e-02, -6.253072332911906e-03, 4.168022485780563e-03, 3.287519523883310e-03, -9.447555833535137e-05}
{-9.380254439326894e-04, 7.296815292066131e-02, -1.691437557992135e-02, 3.343997659396867e-02, 1.940238750612563e-02, 2.663830516241246e-03, 5.401446675207506e-03, 7.886937153314798e-04}
{-3.207247363610656e-02, 5.339365729926489e-02, 4.621879216810389e-02, 3.885641428387744e-03, 4.717867524717924e-02, 3.062680957809779e-02, 2.080174006811336e-03, 8.344212060600115e-03}
{-3.346555844389502e-02, -4.052110546270010e-02, -8.887636339554021e-02, 1.540183549370381e-02, -3.196420370968729e-02, -4.177713039069361e-03, 2.548802848318395e-03, -1.374511623129026e-02}
{-7.898011060805288e-02, 6.024420500754296e-03, -1.883644211626895e-01, -1.570558863978238e-02, -2.016733402421927e-02, -3.862389171269123e-02, -1.311829911347697e-02, -1.876395838941362e-02}
3-4
{1.361783666128320e-01, -4.948974101332460e-02, 1.021338829949211e-01, 2.048878929071605e-02, 2.852288553377276e-02, -8.431643817004869e-03, 1.030551678866931e-02, -4.076620425183666e-03}
{-8.182506798891358e-03, 6.543700135400710e-02, -2.115668467530659e-02, 1.345920117701279e-02, 1.345807739258614e-02, -1.392751204689877e-02, 2.327751441726088e-03, -7.475313974789505e-03}
{-2.542568732601583e-03, 5.721180177686337e-02, 9.819476631699224e-02, -2.530815832266048e-02, 2.493748658655585e-02, 2.076368143367955e-02, 3.441964247808552e-03, 1.119793850257502e-02}
{3.504582160473592e-02, 7.316038664962925e-02, 2.227818134903777e-02, 3.185517723843568e-02, -7.320043845377679e-02, -5.769278353913210e-02, -8.104383265749329e-03, 2.781475999874839e-03}
{1.623036608128387e-02, 3.354921288853627e-02, 1.945972289153241e-02, -2.986680603365349e-02, 3.462764802383118e-02, -5.850064882914403e-02, 4.003405876099549e-02, 1.975197843693261e-02}
3-5
{1.035942975115879e-01, -8.005241511436137e-02, 4.301086386394644e-02, 7.470448090501235e-03, -1.835612374786518e-03, -1.305627737113743e-02, 3.825732946352892e-03, -9.183801033371809e-04}
{-3.058687558266131e-02, 8.410404486416541e-02, -5.470165190884641e-02, 4.177334442284662e-02, -4.306194486406102e-03, 1.104668563397963e-02, -3.176120827773465e-05, 7.854435204815147e-03}
{-9.925103704131036e-03, 6.297821521460639e-02, 1.067965864308120e-01, -9.214489700069503e-03, 3.686548708866792e-02, 3.294337952465205e-02, 1.506068545005029e-02, 1.315999993530594e-02}
{1.773833411400759e-02, 6.144778639562890e-02, 2.587689971071519e-02, 3.255202419279333e-02, -4.587788498079779e-02, -7.336451319760243e-02, -2.349183371245481e-03, -2.374505969877899e-02}
{3.375904085673583e-02, 4.538526229287233e-02, 2.699039030471833e-02, -5.861128122294201e-02, 2.761307655218813e-02, -6.645754317896932e-02, 2.600982303769339e-02, -1.531613584497976e-03}
4-0
{-1.182092841967287e-02, -2.323848716345528e-01, -1.610159002760620e-01, -6.943651927916347e-02, -1.018985776879758e-01, -3.964418365260906e-02, -2.243795924527491e-02, -2.755240783192919e-03}
{-1.306168112007105e-01, -2.645140132905010e-02, -2.236458777669751e-01, -8.252869316883879e-02, -7.161042609786084e-02, -3.610937267607519e-02, -1.703282156306733e-02, -3.657077718901704e-03}
{2.309702891123044e-02, -6.594683199771070e-02, 1.096089986548213e-01, -1.025076645254670e-01, -1.531891077468630e-02, 1.492347636271110e-03, -4.161899562145017e-03, 9.505572520821587e-04}
{1.328668847419838e-02, 1.087781171295533e-02, 3.900767636735594e-02, 3.704754842787036e-02, -4.466322006168359e-02, -5.316158641082203e-02, 5.759804505939333e-02, 3.123661287127147e-02}
{1.385627328261424e-02, 6.258513509787425e-03, 8.002916615168820e-02, -3.082368017102026e-02, 5.431409643870429e-02, 6.467861073165318e-02, 7.543136125935559e-02, 7.734734197478392e-02}
4-1
{4.427354289536790e-02, -1.488191550441729e-01, -8.077984641591519e-02, -2.761991626627863e-02, -7.477014371289679e-02, -3.287006575906728e-02, -2.031658117156863e-02, -3.682032105087506e-03}
{-7.806283417525063e-02, 6.905986362484268e-02, -1.359726413744547e-01, -1.922007515506694e-02, -2.495488747441528e-02, -1.287807754213028e-02, -4.998309368366409e-03, 2.348349137365321e-04}
{5.763120030062586e-03, -2.651795617219277e-02, 9.839878968665136e-02, -4.641390474645984e-02, 4.055609759560774e-03, 4.503527374544764e-02, 3.108629524857883e-03, 1.311776117964443e-02}
{4.385702838989961e-03, -4.584294857970317e-02, -4.681578797983479e-04, -3.144040563946003e-02, -6.244470197760830e-02, -9.605292648303912e-02, 2.992163667412838e-02, 5.817825215562360e-03}
{1.905059892530241e-02, 5.430273026140955e-02, 8.931709503436965e-02, -2.405872095430926e-02, 4.315530285026267e-02, 1.207885037326172e-02, 3.370135848860995e-02, 4.692335515452948e-02}
4-2
{3.967139648249421e-02, -1.487134948534551e-01, -4.550576638905758e-02, -7.781573519033596e-03, -2.997565635830484e-02, -1.164621927587602e-03, -7.540286957693421e-04, 1.517785722577106e-03}
{-4.143523531958268e-02, 5.352041486564051e-02, -7.350758573767835e-02, 4.850355587926344e-03, 2.584147028222790e-02, 1.554470139273038e-02, 1.735432255506201e-02, 5.723583924504950e-03}
{2.999544328841100e-02, 5.368137278548432e-02, 1.218756357118662e-01, -1.037904053345250e-02, 4.468034121599870e-02, 6.134357393908831e-02, 1.802838940497087e-02, 1.775940036463232e-02}
{5.522986882394047e-02, -8.936706335178299e-03, 4.387781155160823e-02, -1.505625154421364e-02, -3.869143962038817e-02, -7.398853716073933e-02, 3.519445114204379e-02, -1.228490741982473e-02}
{3.891155418835390e-02, 6.821736604745275e-02, -1.231321837801745e-03, -6.737495846075597e-02, 3.230434410521608e-02, -2.199569301270523e-02, 3.224612635950123e-02, 1.122829405705830e-02}
4-3
{3.190944208828594e-02, -7.602327787221493e-02, -5.445706349161347e-02, 3.965436550650161e-02, -2.489996362268547e-02, 1.554602649924535e-02, 1.297053996533731e-03, 2.881343421226459e-03}
{-1.734672786916509e-03, 7.431080386205098e-02, -1.856643916096462e-02, 2.866669360276475e-02, 4.518242477147622e-02, 2.097207627965527e-02, 1.711149793662009e-02, 9.415247461652751e-03}
{-7.995329691579170e-02, 7.184674991838459e-02, -4.427662184705677e-02, -7.008385507222207e-03, -2.301494007209484e-02, 6.524635149464166e-02, -2.739634995333449e-03, 2.327385407754089e-02}
{4.901011371933164e-02, 4.735518524222977e-02, -6.351764991750172e-02, -3.931328814263477e-03, -3.964337956506947e-02, 4.304954473626091e-02, 4.975707984687792e-02, 2.019231218075883e-02}
{1.169216199357849e-01, 1.147871983697684e-01, -4.128281144266132e-02, -1.189266062247645e-01, 3.495879069151899e-02, -7.337308389444631e-02, -7.682849272724374e-03, -4.316248533528477e-02}
4-4
{1.246680533540888e-01, -1.067034767489923e-01, 5.399293162485078e-02, 7.745440740689734e-03, 1.355470755398893e-02, -1.298199406692037e-02, 1.249129175309645e-02, -5.256085019183633e-03}
{4.225323570185771e-03, 3.802019814033573e-02, -1.342914014155945e-02, -3.094135922615359e-02, 4.544232762880698e-02, -2.354918705332665e-02, 9.726943715805856e-03, -6.360524649739283e-03}
{-1.143954308220815e-01, 2.677333363730681e-02, -9.214944333081791e-02, -9.642702638698554e-03, -7.327581400851274e-02, 6.673968062953141e-02, -3.908309768836440e-02, 1.457105885524023e-02}
{-7.287230624000855e-02, -1.752691937170015e-02, -1.630815428757351e-01, 1.939070594317089e-02, -8.658391061952816e-02, 1.568169418348945e-02, 2.886705001756805e-02, 3.376996545230691e-02}
{7.835475250436044e-02, -5.551396339629117e-02, 3.611997618485077e-02, -1.425729573214842e-01, 7.831459673468297e-02, -3.634913865695000e-02, 4.549369542126572e-02, 3.089070951718930e-02}
4-5
{5.143366912801706e-02, -9.422048418105634e-02, -6.146257378132389e-02, 2.044773348964785e-02, -4.585125837030324e-02, -1.522926730707518e-02, -2.200549649481414e-03, -8.824877610978266e-04}
{1.362789401632637e-03, 3.150481257233984e-02, -1.526683237493145e-02, -2.881005711397580e-02, 4.333769767023236e-02, -1.465898885000598e-02, 9.534982333923175e-03, -3.268299655380524e-04}
{-6.492225054798452e-02, 1.081471765171111e-01, -6.554896533264279e-03, 3.864322558008149e-02, -2.762589747290409e-02, 9.283503313351421e-02, -1.225478575975113e-02, 1.696197066152741e-02}
{1.015646777324030e-03, -6.017923777582555e-02, -2.268219762137678e-02, -1.067577603595748e-02, -2.932000031354095e-02, 8.776048942996679e-03, 5.656567278589610e-02, 4.298787256069010e-02}
{6.781830789737699e-02, 1.072149399703584e-01, 3.503970014705489e-02, -6.788777815187710e-02, 7.553197220332558e-02, 2.210811268350633e-02, 5.473576933684537e-02, 4.850015901038831e-02}
5-0
{-1.674937887270107e-02, -2.343729913260143e-01, -1.718117449145184e-01, -8.166219886532898e-02, -1.068401938393534e-01, -4.800941399949659e-02, -2.424903617824457e-02, -4.458522360066271e-03}
{-1.383040563683439e-01, -2.345817963161371e-02, -2.374015962149501e-01, -7.869726615493942e-02, -7.246275119263069e-02, -2.698056074571800e-02, -1.657132464450945e-02, -4.291293531092791e-04}
{-1.545876518457999e-02, -5.932762384402720e-02, 3.485527817350762e-02, -9.783048084513388e-02, -4.495506695490555e-02, 1.788487363095588e-02, -1.062137130949417e-02, 3.968110912784858e-03}
{5.504436663942341e-02, 5.436952059171309e-03, 2.461340109861424e-02, -2.118909690866920e-02, -6.939849266821563e-02, -7.519857105548300e-02, 4.743764107380956e-02, 1.541871431256384e-02}
{2.514210112365181e-02, 3.200826136217719e-02, 4.104832285901452e-02, -5.495071851902645e-02, 3.152152114341849e-02, 5.048224855774536e-02, 6.486605061786720e-02, 6.003279168393283e-02}
5-1
{6.760977032523013e-03, -1.530543664177823e-01, -1.316497219005146e-01, -2.623439542300782e-02, -8.973848753762330e-02, -3.066276576410460e-02, -2.324557265343631e-02, -4.819657291975630e-03}
{-9.151553497629207e-02, 6.393496902947364e-02, -1.630129723854852e-01, -2.381486058066997e-02, -3.665612123392329e-02, -8.626763843268421e-03, -7.591309113975496e-03, 1.884365461114168e-03}
{1.044251228204429e-02, 5.519436657730215e-02, 7.542349633129981e-02, -1.619991524676295e-02, -1.054564773915151e-02, 7.137070133387770e-02, 5.390278858985955e-03, 2.081996333455771e-02}
{2.348990976869636e-02, -7.292195533331824e-02, -8.619221419214377e-04, -4.529880930051999e-02, -5.710840822744095e-02, -6.887473160027756e-02, 4.233004739495964e-02, 1.180697453148277e-02}
{2.982346885444925e-02, 5.823055593474893e-02, 8.912754478087458e-02, -1.666677918456509e-02, 3.272449509643340e-02, 2.477597696136140e-02, 2.158736631479313e-02, 4.213411867250159e-02}
5-2
{3.292385931400339e-02, -1.045283535390852e-01, -5.722481254293756e-02, 1.977537979142184e-02, -3.243933669464630e-02, 8.738455173093485e-03, -3.245618319382256e-03, 2.260711534175119e-03}
{-4.982218853622245e-02, 5.394586587053866e-02, -9.078388950482920e-02, -5.927481557917636e-04, 1.684428374469517e-02, 1.290844423670713e-02, 1.385186534182749e-02, 4.957014009955511e-03}
{-1.283615917805300e-02, 4.207958115452696e-02, 3.829399210981020e-02, -2.509237609706590e-02, -6.510169972502471e-03, 6.612332101383359e-02, 7.837455280201843e-03, 2.404125645445591e-02}
{6.656347378176251e-02, 2.466082598581116e-02, 1.470929660584518e-02, -4.062138102252724e-03, -5.708649603350609e-02, -4.636321552248557e-02, 3.396874075921784e-02, -6.157289926664695e-03}
{2.691843940197098e-02, 9.313913999147137e-03, -3.710066825375248e-02, -8.970400900646289e-02, 5.741837802804175e-02, -4.883446498745585e-03, 4.149025396826973e-02, 2.217200957017553e-04}
5-3
{1.408503190816579e-02, -1.138758067776679e-01, -8.821513689484178e-02, 8.948652984669413e-03, -4.544570942182374e-02, -4.970414214781130e-03, -8.058637058729555e-03, -2.366668575201858e-03}
{-5.593506124459009e-03, -1.373397813815017e-03, -2.921239405614422e-02, -3.657033187929440e-02, 3.715817316566384e-02, -1.749833780428334e-02, 1.325423103382674e-02, -3.314717728148097e-03}
{-7.635507896297321e-02, 1.380444564223568e-01, -3.426255968319066e-02, 3.803847914191395e-02, -3.046620872818811e-02, 8.648233127579251e-02, -4.937428017573996e-03, 3.061301621296107e-02}
{6.279520366871925e-02, 2.865776142824210e-02, -1.346229024396198e-02, 1.021617794157030e-02, -3.736637903824520e-02, 1.970682972257179e-02, 1.991688000430331e-02, 7.645230120246734e-03}
{7.533555479651033e-02, 8.626086267809709e-02, -3.120787221498745e-02, -6.252558237579262e-02, 5.269145423595797e-02, -9.026178661309156e-02, -3.959578455815629e-02, -6.051144459553251e-02}
5-4
{9.404540701196187e-02, -6.618541107142116e-02, 1.527033028234120e-03, 3.609643593779107e-02, -1.352630593970199e-02, -8.709241823783404e-03, 2.214976014304606e-03, -3.793377807363257e-03}
{2.150249125633016e-02, 6.158197585442907e-02, 1.856826169964712e-02, -9.371249045531296e-03, 6.828524161063670e-02, -5.879039597935604e-03, 1.562400412866067e-02, -8.489287409872022e-04}
{-7.145345073309384e-02, 1.188017812697827e-01, -2.824131574119730e-02, 3.429844189037332e-02, -4.083016412957631e-02, 9.619976121101077e-02, -1.587838843245476e-02, 2.052327273164695e-02}
{5.541966028405781e-02, -2.298324595160556e-02, -5.616374219399978e-03, -3.595624315541181e-02, -2.967436936681870e-02, -3.306150497139183e-02, 3.295588039036365e-02, 7.238309406951196e-03}
{9.386315182368427e-02, 9.537977047552935e-02, 1.794924615821815e-02, -3.324488623791785e-02, 6.261852074972662e-02, -1.093561393659627e-03, 6.550337716283325e-03, 9.041938745533062e-03}
5-5
{1.180746976341440e-01, -8.111429416663254e-02, 3.454539789461561e-02, 2.389257113326638e-02, -2.133663710599915e-03, -1.819090311842119e-02, 3.038838093147125e-03, -5.733303510448750e-03}
{-1.651720741727174e-02, 3.331842198046667e-02, -4.646354857804090e-02, -3.538488949037077e-02, 3.645920739955918e-02, -1.981944871456285e-02, 6.162456349515548e-03, -4.298497632070382e-03}
{-1.442636402413646e-01, -1.078948375124668e-01, -1.421687380471946e-01, -8.954745768091353e-02, -9.229286042283795e-02, 5.884331060269447e-02, -2.906170499433207e-02, 1.426964306250729e-02}
{-6.909131575599017e-02, -1.293527671699211e-01, -1.296353657754160e-01, -3.974084438407247e-02, -5.738745476827317e-02, -1.546012318112220e-02, 5.151912277679455e-02, 2.497417009762177e-02}
{1.086129786487566e-01, -5.153495580531077e-02, 1.270898476858653e-01, -1.185892397641970e-01, 1.492222365843448e-01, -1.205851147804753e-02, 6.756118339873653e-02, 2.468840370203244e-02}
alpha_moments_count = 1352
alpha_index_basic_count = 295
alpha_index_basic = {{0, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 2, 0, 0}, {0, 1, 1, 0}, {0, 1, 0, 1}, {0, 0, 2, 0}, {0, 0, 1, 1}, {0, 0, 0, 2}, {0, 3, 0, 0}, {0, 2, 1, 0}, {0, 2, 0, 1}, {0, 1, 2, 0}, {0, 1, 1, 1}, {0, 1, 0, 2}, {0, 0, 3, 0}, {0, 0, 2, 1}, {0, 0, 1, 2}, {0, 0, 0, 3}, {0, 4, 0, 0}, {0, 3, 1, 0}, {0, 3, 0, 1}, {0, 2, 2, 0}, {0, 2, 1, 1}, {0, 2, 0, 2}, {0, 1, 3, 0}, {0, 1, 2, 1}, {0, 1, 1, 2}, {0, 1, 0, 3}, {0, 0, 4, 0}, {0, 0, 3, 1}, {0, 0, 2, 2}, {0, 0, 1, 3}, {0, 0, 0, 4}, {0, 5, 0, 0}, {0, 4, 1, 0}, {0, 4, 0, 1}, {0, 3, 2, 0}, {0, 3, 1, 1}, {0, 3, 0, 2}, {0, 2, 3, 0}, {0, 2, 2, 1}, {0, 2, 1, 2}, {0, 2, 0, 3}, {0, 1, 4, 0}, {0, 1, 3, 1}, {0, 1, 2, 2}, {0, 1, 1, 3}, {0, 1, 0, 4}, {0, 0, 5, 0}, {0, 0, 4, 1}, {0, 0, 3, 2}, {0, 0, 2, 3}, {0, 0, 1, 4}, {0, 0, 0, 5}, {0, 6, 0, 0}, {0, 5, 1, 0}, {0, 5, 0, 1}, {0, 4, 2, 0}, {0, 4, 1, 1}, {0, 4, 0, 2}, {0, 3, 3, 0}, {0, 3, 2, 1}, {0, 3, 1, 2}, {0, 3, 0, 3}, {0, 2, 4, 0}, {0, 2, 3, 1}, {0, 2, 2, 2}, {0, 2, 1, 3}, {0, 2, 0, 4}, {0, 1, 5, 0}, {0, 1, 4, 1}, {0, 1, 3, 2}, {0, 1, 2, 3}, {0, 1, 1, 4}, {0, 1, 0, 5}, {0, 0, 6, 0}, {0, 0, 5, 1}, {0, 0, 4, 2}, {0, 0, 3, 3}, {0, 0, 2, 4}, {0, 0, 1, 5}, {0, 0, 0, 6}, {0, 7, 0, 0}, {0, 6, 1, 0}, {0, 6, 0, 1}, {0, 5, 2, 0}, {0, 5, 1, 1}, {0, 5, 0, 2}, {0, 4, 3, 0}, {0, 4, 2, 1}, {0, 4, 1, 2}, {0, 4, 0, 3}, {0, 3, 4, 0}, {0, 3, 3, 1}, {0, 3, 2, 2}, {0, 3, 1, 3}, {0, 3, 0, 4}, {0, 2, 5, 0}, {0, 2, 4, 1}, {0, 2, 3, 2}, {0, 2, 2, 3}, {0, 2, 1, 4}, {0, 2, 0, 5}, {0, 1, 6, 0}, {0, 1, 5, 1}, {0, 1, 4, 2}, {0, 1, 3, 3}, {0, 1, 2, 4}, {0, 1, 1, 5}, {0, 1, 0, 6}, {0, 0, 7, 0}, {0, 0, 6, 1}, {0, 0, 5, 2}, {0, 0, 4, 3}, {0, 0, 3, 4}, {0, 0, 2, 5}, {0, 0, 1, 6}, {0, 0, 0, 7}, {0, 8, 0, 0}, {0, 7, 1, 0}, {0, 7, 0, 1}, {0, 6, 2, 0}, {0, 6, 1, 1}, {0, 6, 0, 2}, {0, 5, 3, 0}, {0, 5, 2, 1}, {0, 5, 1, 2}, {0, 5, 0, 3}, {0, 4, 4, 0}, {0, 4, 3, 1}, {0, 4, 2, 2}, {0, 4, 1, 3}, {0, 4, 0, 4}, {0, 3, 5, 0}, {0, 3, 4, 1}, {0, 3, 3, 2}, {0, 3, 2, 3}, {0, 3, 1, 4}, {0, 3, 0, 5}, {0, 2, 6, 0}, {0, 2, 5, 1}, {0, 2, 4, 2}, {0, 2, 3, 3}, {0, 2, 2, 4}, {0, 2, 1, 5}, {0, 2, 0, 6}, {0, 1, 7, 0}, {0, 1, 6, 1}, {0, 1, 5, 2}, {0, 1, 4, 3}, {0, 1, 3, 4}, {0, 1, 2, 5}, {0, 1, 1, 6}, {0, 1, 0, 7}, {0, 0, 8, 0}, {0, 0, 7, 1}, {0, 0, 6, 2}, {0, 0, 5, 3}, {0, 0, 4, 4}, {0, 0, 3, 5}, {0, 0, 2, 6}, {0, 0, 1, 7}, {0, 0, 0, 8}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 0, 1, 0}, {1, 0, 0, 1}, {1, 2, 0, 0}, {1, 1, 1, 0}, {1, 1, 0, 1}, {1, 0, 2, 0}, {1, 0, 1, 1}, {1, 0, 0, 2}, {1, 3, 0, 0}, {1, 2, 1, 0}, {1, 2, 0, 1}, {1, 1, 2, 0}, {1, 1, 1, 1}, {1, 1, 0, 2}, {1, 0, 3, 0}, {1, 0, 2, 1}, {1, 0, 1, 2}, {1, 0, 0, 3}, {1, 4, 0, 0}, {1, 3, 1, 0}, {1, 3, 0, 1}, {1, 2, 2, 0}, {1, 2, 1, 1}, {1, 2, 0, 2}, {1, 1, 3, 0}, {1, 1, 2, 1}, {1, 1, 1, 2}, {1, 1, 0, 3}, {1, 0, 4, 0}, {1, 0, 3, 1}, {1, 0, 2, 2}, {1, 0, 1, 3}, {1, 0, 0, 4}, {1, 5, 0, 0}, {1, 4, 1, 0}, {1, 4, 0, 1}, {1, 3, 2, 0}, {1, 3, 1, 1}, {1, 3, 0, 2}, {1, 2, 3, 0}, {1, 2, 2, 1}, {1, 2, 1, 2}, {1, 2, 0, 3}, {1, 1, 4, 0}, {1, 1, 3, 1}, {1, 1, 2, 2}, {1, 1, 1, 3}, {1, 1, 0, 4}, {1, 0, 5, 0}, {1, 0, 4, 1}, {1, 0, 3, 2}, {1, 0, 2, 3}, {1, 0, 1, 4}, {1, 0, 0, 5}, {1, 6, 0, 0}, {1, 5, 1, 0}, {1, 5, 0, 1}, {1, 4, 2, 0}, {1, 4, 1, 1}, {1, 4, 0, 2}, {1, 3, 3, 0}, {1, 3, 2, 1}, {1, 3, 1, 2}, {1, 3, 0, 3}, {1, 2, 4, 0}, {1, 2, 3, 1}, {1, 2, 2, 2}, {1, 2, 1, 3}, {1, 2, 0, 4}, {1, 1, 5, 0}, {1, 1, 4, 1}, {1, 1, 3, 2}, {1, 1, 2, 3}, {1, 1, 1, 4}, {1, 1, 0, 5}, {1, 0, 6, 0}, {1, 0, 5, 1}, {1, 0, 4, 2}, {1, 0, 3, 3}, {1, 0, 2, 4}, {1, 0, 1, 5}, {1, 0, 0, 6}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 0, 1, 0}, {2, 0, 0, 1}, {2, 2, 0, 0}, {2, 1, 1, 0}, {2, 1, 0, 1}, {2, 0, 2, 0}, {2, 0, 1, 1}, {2, 0, 0, 2}, {2, 3, 0, 0}, {2, 2, 1, 0}, {2, 2, 0, 1}, {2, 1, 2, 0}, {2, 1, 1, 1}, {2, 1, 0, 2}, {2, 0, 3, 0}, {2, 0, 2, 1}, {2, 0, 1, 2}, {2, 0, 0, 3}, {2, 4, 0, 0}, {2, 3, 1, 0}, {2, 3, 0, 1}, {2, 2, 2, 0}, {2, 2, 1, 1}, {2, 2, 0, 2}, {2, 1, 3, 0}, {2, 1, 2, 1}, {2, 1, 1, 2}, {2, 1, 0, 3}, {2, 0, 4, 0}, {2, 0, 3, 1}, {2, 0, 2, 2}, {2, 0, 1, 3}, {2, 0, 0, 4}, {3, 0, 0, 0}, {3, 1, 0, 0}, {3, 0, 1, 0}, {3, 0, 0, 1}, {3, 2, 0, 0}, {3, 1, 1, 0}, {3, 1, 0, 1}, {3, 0, 2, 0}, {3, 0, 1, 1}, {3, 0, 0, 2}, {4, 0, 0, 0}}
alpha_index_times_count = 6349
alpha_index_times = {{0, 0, 1, 295}, {1, 1, 1, 296}, {2, 2, 1, 296}, {3, 3, 1, 296}, {1, 4, 1, 297}, {2, 5, 1, 297}, {3, 6, 1, 297}, {1, 5, 1, 298}, {2, 7, 1, 298}, {3, 8, 1, 298}, {1, 6, 1, 299}, {2, 8, 1, 299}, {3, 9, 1, 299}, {1, 10, 1, 300}, {2, 11, 1, 300}, {3, 12, 1, 300}, {1, 11, 1, 301}, {2, 13, 1, 301}, {3, 14, 1, 301}, {1, 12, 1, 302}, {2, 14, 1, 302}, {3, 15, 1, 302}, {1, 13, 1, 303}, {2, 16, 1, 303}, {3, 17, 1, 303}, {1, 14, 1, 304}, {2, 17, 1, 304}, {3, 18, 1, 304}, {1, 15, 1, 305}, {2, 18, 1, 305}, {3, 19, 1, 305}, {4, 4, 1, 306}, {5, 5, 1, 306}, {6, 6, 1, 306}, {4, 5, 1, 307}, {5, 7, 1, 307}, {6, 8, 1, 307}, {4, 6, 1, 308}, {5, 8, 1, 308}, {6, 9, 1, 308}, {5, 5, 1, 309}, {7, 7, 1, 309}, {8, 8, 1, 309}, {5, 6, 1, 310}, {7, 8, 1, 310}, {8, 9, 1, 310}, {6, 6, 1, 311}, {8, 8, 1, 311}, {9, 9, 1, 311}, {4, 10, 1, 312}, {5, 11, 1, 312}, {6, 12, 1, 312}, {4, 11, 1, 313}, {5, 13, 1, 313}, {6, 14, 1, 313}, {4, 12, 1, 314}, {5, 14, 1, 314}, {6, 15, 1, 314}, {4, 13, 1, 315}, {5, 16, 1, 315}, {6, 17, 1, 315}, {4, 14, 1, 316}, {5, 17, 1, 316}, {6, 18, 1, 316}, {4, 15, 1, 317}, {5, 18, 1, 317}, {6, 19, 1, 317}, {5, 10, 1, 318}, {7, 11, 1, 318}, {8, 12, 1, 318}, {5, 11, 1, 319}, {7, 13, 1, 319}, {8, 14, 1, 319}, {5, 12, 1, 320}, {7, 14, 1, 320}, {8, 15, 1, 320}, {5, 13, 1, 321}, {7, 16, 1, 321}, {8, 17, 1, 321}, {5, 14, 1, 322}, {7, 17, 1, 322}, {8, 18, 1, 322}, {5, 15, 1, 323}, {7, 18, 1, 323}, {8, 19, 1, 323}, {6, 10, 1, 324}, {8, 11, 1, 324}, {9, 12, 1, 324}, {6, 11, 1, 325}, {8, 13, 1, 325}, {9, 14, 1, 325}, {6, 12, 1, 326}, {8, 14, 1, 326}, {9, 15, 1, 326}, {6, 13, 1, 327}, {8, 16, 1, 327}, {9, 17, 1, 327}, {6, 14, 1, 328}, {8, 17, 1, 328}, {9, 18, 1, 328}, {6, 15, 1, 329}, {8, 18, 1, 329}, {9, 19, 1, 329}, {4, 20, 1, 330}, {5, 21, 1, 330}, {6, 22, 1, 330}, {4, 21, 1, 331}, {5, 23, 1, 331}, {6, 24, 1, 331}, {4, 22, 1, 332}, {5, 24, 1, 332}, {6, 25, 1, 332}, {4, 23, 1, 333}, {5, 26, 1, 333}, {6, 27, 1, 333}, {4, 24, 1, 334}, {5, 27, 1, 334}, {6, 28, 1, 334}, {4, 25, 1, 335}, {5, 28, 1, 335}, {6, 29, 1, 335}, {4, 26, 1, 336}, {5, 30, 1, 336}, {6, 31, 1, 336}, {4, 27, 1, 337}, {5, 31, 1, 337}, {6, 32, 1, 337}, {4, 28, 1, 338}, {5, 32, 1, 338}, {6, 33, 1, 338}, {4, 29, 1, 339}, {5, 33, 1, 339}, {6, 34, 1, 339}, {5, 20, 1, 340}, {7, 21, 1, 340}, {8, 22, 1, 340}, {5, 21, 1, 341}, {7, 23, 1, 341}, {8, 24, 1, 341}, {5, 22, 1, 342}, {7, 24, 1, 342}, {8, 25, 1, 342}, {5, 23, 1, 343}, {7, 26, 1, 343}, {8, 27, 1, 343}, {5, 24, 1, 344}, {7, 27, 1, 344}, {8, 28, 1, 344}, {5, 25, 1, 345}, {7, 28, 1, 345}, {8, 29, 1, 345}, {5, 26, 1, 346}, {7, 30, 1, 346}, {8, 31, 1, 346}, {5, 27, 1, 347}, {7, 31, 1, 347}, {8, 32, 1, 347}, {5, 28, 1, 348}, {7, 32, 1, 348}, {8, 33, 1, 348}, {5, 29, 1, 349}, {7, 33, 1, 349}, {8, 34, 1, 349}, {6, 20, 1, 350}, {8, 21, 1, 350}, {9, 22, 1, 350}, {6, 21, 1, 351}, {8, 23, 1, 351}, {9, 24, 1, 351}, {6, 22, 1, 352}, {8, 24, 1, 352}, {9, 25, 1, 352}, {6, 23, 1, 353}, {8, 26, 1, 353}, {9, 27, 1, 353}, {6, 24, 1, 354}, {8, 27, 1, 354}, {9, 28, 1, 354}, {6, 25, 1, 355}, {8, 28, 1, 355}, {9, 29, 1, 355}, {6, 26, 1, 356}, {8, 30, 1, 356}, {9, 31, 1, 356}, {6, 27, 1, 357}, {8, 31, 1, 357}, {9, 32, 1, 357}, {6, 28, 1, 358}, {8, 32, 1, 358}, {9, 33, 1, 358}, {6, 29, 1, 359}, {8, 33, 1, 359}, {9, 34, 1, 359}, {4, 4, 1, 360}, {5, 5, 2, 360}, {6, 6, 2, 360}, {7, 7, 1, 360}, {8, 8, 2, 360}, {9, 9, 1, 360}, {4, 10, 1, 361}, {5, 11, 2, 361}, {6, 12, 2, 361}, {7, 13, 1, 361}, {8, 14, 2, 361}, {9, 15, 1, 361}, {4, 11, 1, 362}, {5, 13, 2, 362}, {6, 14, 2, 362}, {7, 16, 1, 362}, {8, 17, 2, 362}, {9, 18, 1, 362}, {4, 12, 1, 363}, {5, 14, 2, 363}, {6, 15, 2, 363}, {7, 17, 1, 363}, {8, 18, 2, 363}, {9, 19, 1, 363}, {4, 20, 1, 364}, {5, 21, 2, 364}, {6, 22, 2, 364}, {7, 23, 1, 364}, {8, 24, 2, 364}, {9, 25, 1, 364}, {4, 21, 1, 365}, {5, 23, 2, 365}, {6, 24, 2, 365}, {7, 26, 1, 365}, {8, 27, 2, 365}, {9, 28, 1, 365}, {4, 22, 1, 366}, {5, 24, 2, 366}, {6, 25, 2, 366}, {7, 27, 1, 366}, {8, 28, 2, 366}, {9, 29, 1, 366}, {4, 23, 1, 367}, {5, 26, 2, 367}, {6, 27, 2, 367}, {7, 30, 1, 367}, {8, 31, 2, 367}, {9, 32, 1, 367}, {4, 24, 1, 368}, {5, 27, 2, 368}, {6, 28, 2, 368}, {7, 31, 1, 368}, {8, 32, 2, 368}, {9, 33, 1, 368}, {4, 25, 1, 369}, {5, 28, 2, 369}, {6, 29, 2, 369}, {7, 32, 1, 369}, {8, 33, 2, 369}, {9, 34, 1, 369}, {4, 35, 1, 370}, {5, 36, 2, 370}, {6, 37, 2, 370}, {7, 38, 1, 370}, {8, 39, 2, 370}, {9, 40, 1, 370}, {4, 36, 1, 371}, {5, 38, 2, 371}, {6, 39, 2, 371}, {7, 41, 1, 371}, {8, 42, 2, 371}, {9, 43, 1, 371}, {4, 37, 1, 372}, {5, 39, 2, 372}, {6, 40, 2, 372}, {7, 42, 1, 372}, {8, 43, 2, 372}, {9, 44, 1, 372}, {4, 38, 1, 373}, {5, 41, 2, 373}, {6, 42, 2, 373}, {7, 45, 1, 373}, {8, 46, 2, 373}, {9, 47, 1, 373}, {4, 39, 1, 374}, {5, 42, 2, 374}, {6, 43, 2, 374}, {7, 46, 1, 374}, {8, 47, 2, 374}, {9, 48, 1, 374}, {4, 40, 1, 375}, {5, 43, 2, 375}, {6, 44, 2, 375}, {7, 47, 1, 375}, {8, 48, 2, 375}, {9, 49, 1, 375}, {4, 41, 1, 376}, {5, 45, 2, 376}, {6, 46, 2, 376}, {7, 50, 1, 376}, {8, 51, 2, 376}, {9, 52, 1, 376}, {4, 42, 1, 377}, {5, 46, 2, 377}, {6, 47, 2, 377}, {7, 51, 1, 377}, {8, 52, 2, 377}, {9, 53, 1, 377}, {4, 43, 1, 378}, {5, 47, 2, 378}, {6, 48, 2, 378}, {7, 52, 1, 378}, {8, 53, 2, 378}, {9, 54, 1, 378}, {4, 44, 1, 379}, {5, 48, 2, 379}, {6, 49, 2, 379}, {7, 53, 1, 379}, {8, 54, 2, 379}, {9, 55, 1, 379}, {4, 56, 1, 380}, {5, 57, 2, 380}, {6, 58, 2, 380}, {7, 59, 1, 380}, {8, 60, 2, 380}, {9, 61, 1, 380}, {4, 57, 1, 381}, {5, 59, 2, 381}, {6, 60, 2, 381}, {7, 62, 1, 381}, {8, 63, 2, 381}, {9, 64, 1, 381}, {4, 58, 1, 382}, {5, 60, 2, 382}, {6, 61, 2, 382}, {7, 63, 1, 382}, {8, 64, 2, 382}, {9, 65, 1, 382}, {4, 59, 1, 383}, {5, 62, 2, 383}, {6, 63, 2, 383}, {7, 66, 1, 383}, {8, 67, 2, 383}, {9, 68, 1, 383}, {4, 60, 1, 384}, {5, 63, 2, 384}, {6, 64, 2, 384}, {7, 67, 1, 384}, {8, 68, 2, 384}, {9, 69, 1, 384}, {4, 61, 1, 385}, {5, 64, 2, 385}, {6, 65, 2, 385}, {7, 68, 1, 385}, {8, 69, 2, 385}, {9, 70, 1, 385}, {4, 62, 1, 386}, {5, 66, 2, 386}, {6, 67, 2, 386}, {7, 71, 1, 386}, {8, 72, 2, 386}, {9, 73, 1, 386}, {4, 63, 1, 387}, {5, 67, 2, 387}, {6, 68, 2, 387}, {7, 72, 1, 387}, {8, 73, 2, 387}, {9, 74, 1, 387}, {4, 64, 1, 388}, {5, 68, 2, 388}, {6, 69, 2, 388}, {7, 73, 1, 388}, {8, 74, 2, 388}, {9, 75, 1, 388}, {4, 65, 1, 389}, {5, 69, 2, 389}, {6, 70, 2, 389}, {7, 74, 1, 389}, {8, 75, 2, 389}, {9, 76, 1, 389}, {4, 66, 1, 390}, {5, 71, 2, 390}, {6, 72, 2, 390}, {7, 77, 1, 390}, {8, 78, 2, 390}, {9, 79, 1, 390}, {4, 67, 1, 391}, {5, 72, 2, 391}, {6, 73, 2, 391}, {7, 78, 1, 391}, {8, 79, 2, 391}, {9, 80, 1, 391}, {4, 68, 1, 392}, {5, 73, 2, 392}, {6, 74, 2, 392}, {7, 79, 1, 392}, {8, 80, 2, 392}, {9, 81, 1, 392}, {4, 69, 1, 393}, {5, 74, 2, 393}, {6, 75, 2, 393}, {7, 80, 1, 393}, {8, 81, 2, 393}, {9, 82, 1, 393}, {4, 70, 1, 394}, {5, 75, 2, 394}, {6, 76, 2, 394}, {7, 81, 1, 394}, {8, 82, 2, 394}, {9, 83, 1, 394}, {10, 10, 1, 395}, {11, 11, 1, 395}, {12, 12, 1, 395}, {10, 11, 1, 396}, {11, 13, 1, 396}, {12, 14, 1, 396}, {10, 12, 1, 397}, {11, 14, 1, 397}, {12, 15, 1, 397}, {10, 13, 1, 398}, {11, 16, 1, 398}, {12, 17, 1, 398}, {10, 14, 1, 399}, {11, 17, 1, 399}, {12, 18, 1, 399}, {10, 15, 1, 400}, {11, 18, 1, 400}, {12, 19, 1, 400}, {11, 11, 1, 401}, {13, 13, 1, 401}, {14, 14, 1, 401}, {11, 12, 1, 402}, {13, 14, 1, 402}, {14, 15, 1, 402}, {11, 13, 1, 403}, {13, 16, 1, 403}, {14, 17, 1, 403}, {11, 14, 1, 404}, {13, 17, 1, 404}, {14, 18, 1, 404}, {11, 15, 1, 405}, {13, 18, 1, 405}, {14, 19, 1, 405}, {12, 12, 1, 406}, {14, 14, 1, 406}, {15, 15, 1, 406}, {12, 13, 1, 407}, {14, 16, 1, 407}, {15, 17, 1, 407}, {12, 14, 1, 408}, {14, 17, 1, 408}, {15, 18, 1, 408}, {12, 15, 1, 409}, {14, 18, 1, 409}, {15, 19, 1, 409}, {13, 13, 1, 410}, {16, 16, 1, 410}, {17, 17, 1, 410}, {13, 14, 1, 411}, {16, 17, 1, 411}, {17, 18, 1, 411}, {13, 15, 1, 412}, {16, 18, 1, 412}, {17, 19, 1, 412}, {14, 14, 1, 413}, {17, 17, 1, 413}, {18, 18, 1, 413}, {14, 15, 1, 414}, {17, 18, 1, 414}, {18, 19, 1, 414}, {15, 15, 1, 415}, {18, 18, 1, 415}, {19, 19, 1, 415}, {10, 10, 1, 416}, {11, 11, 2, 416}, {12, 12, 2, 416}, {13, 13, 1, 416}, {14, 14, 2, 416}, {15, 15, 1, 416}, {10, 11, 1, 417}, {11, 13, 2, 417}, {12, 14, 2, 417}, {13, 16, 1, 417}, {14, 17, 2, 417}, {15, 18, 1, 417}, {10, 12, 1, 418}, {11, 14, 2, 418}, {12, 15, 2, 418}, {13, 17, 1, 418}, {14, 18, 2, 418}, {15, 19, 1, 418}, {11, 11, 1, 419}, {13, 13, 2, 419}, {14, 14, 2, 419}, {16, 16, 1, 419}, {17, 17, 2, 419}, {18, 18, 1, 419}, {11, 12, 1, 420}, {13, 14, 2, 420}, {14, 15, 2, 420}, {16, 17, 1, 420}, {17, 18, 2, 420}, {18, 19, 1, 420}, {12, 12, 1, 421}, {14, 14, 2, 421}, {15, 15, 2, 421}, {17, 17, 1, 421}, {18, 18, 2, 421}, {19, 19, 1, 421}, {10, 20, 1, 422}, {11, 21, 2, 422}, {12, 22, 2, 422}, {13, 23, 1, 422}, {14, 24, 2, 422}, {15, 25, 1, 422}, {10, 21, 1, 423}, {11, 23, 2, 423}, {12, 24, 2, 423}, {13, 26, 1, 423}, {14, 27, 2, 423}, {15, 28, 1, 423}, {10, 22, 1, 424}, {11, 24, 2, 424}, {12, 25, 2, 424}, {13, 27, 1, 424}, {14, 28, 2, 424}, {15, 29, 1, 424}, {10, 23, 1, 425}, {11, 26, 2, 425}, {12, 27, 2, 425}, {13, 30, 1, 425}, {14, 31, 2, 425}, {15, 32, 1, 425}, {10, 24, 1, 426}, {11, 27, 2, 426}, {12, 28, 2, 426}, {13, 31, 1, 426}, {14, 32, 2, 426}, {15, 33, 1, 426}, {10, 25, 1, 427}, {11, 28, 2, 427}, {12, 29, 2, 427}, {13, 32, 1, 427}, {14, 33, 2, 427}, {15, 34, 1, 427}, {11, 20, 1, 428}, {13, 21, 2, 428}, {14, 22, 2, 428}, {16, 23, 1, 428}, {17, 24, 2, 428}, {18, 25, 1, 428}, {11, 21, 1, 429}, {13, 23, 2, 429}, {14, 24, 2, 429}, {16, 26, 1, 429}, {17, 27, 2, 429}, {18, 28, 1, 429}, {11, 22, 1, 430}, {13, 24, 2, 430}, {14, 25, 2, 430}, {16, 27, 1, 430}, {17, 28, 2, 430}, {18, 29, 1, 430}, {11, 23, 1, 431}, {13, 26, 2, 431}, {14, 27, 2, 431}, {16, 30, 1, 431}, {17, 31, 2, 431}, {18, 32, 1, 431}, {11, 24, 1, 432}, {13, 27, 2, 432}, {14, 28, 2, 432}, {16, 31, 1, 432}, {17, 32, 2, 432}, {18, 33, 1, 432}, {11, 25, 1, 433}, {13, 28, 2, 433}, {14, 29, 2, 433}, {16, 32, 1, 433}, {17, 33, 2, 433}, {18, 34, 1, 433}, {12, 20, 1, 434}, {14, 21, 2, 434}, {15, 22, 2, 434}, {17, 23, 1, 434}, {18, 24, 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1138}, {4, 676, 1, 1139}, {5, 678, 1, 1139}, {5, 682, 1, 1139}, {6, 679, 1, 1139}, {6, 688, 1, 1139}, {7, 684, 1, 1139}, {8, 685, 1, 1139}, {8, 690, 1, 1139}, {9, 691, 1, 1139}, {4, 677, 1, 1140}, {5, 679, 1, 1140}, {5, 683, 1, 1140}, {6, 680, 1, 1140}, {6, 689, 1, 1140}, {7, 685, 1, 1140}, {8, 686, 1, 1140}, {8, 691, 1, 1140}, {9, 692, 1, 1140}, {4, 709, 1, 1141}, {5, 710, 1, 1141}, {5, 712, 1, 1141}, {6, 711, 1, 1141}, {6, 715, 1, 1141}, {7, 713, 1, 1141}, {8, 714, 1, 1141}, {8, 716, 1, 1141}, {9, 717, 1, 1141}, {4, 712, 1, 1142}, {5, 713, 1, 1142}, {5, 718, 1, 1142}, {6, 714, 1, 1142}, {6, 721, 1, 1142}, {7, 719, 1, 1142}, {8, 720, 1, 1142}, {8, 722, 1, 1142}, {9, 723, 1, 1142}, {4, 715, 1, 1143}, {5, 716, 1, 1143}, {5, 721, 1, 1143}, {6, 717, 1, 1143}, {6, 724, 1, 1143}, {7, 722, 1, 1143}, {8, 723, 1, 1143}, {8, 725, 1, 1143}, {9, 726, 1, 1143}, {4, 730, 1, 1144}, {5, 731, 1, 1144}, {5, 733, 1, 1144}, {6, 732, 1, 1144}, {6, 736, 1, 1144}, {7, 734, 1, 1144}, {8, 735, 1, 1144}, {8, 737, 1, 1144}, {9, 738, 1, 1144}, {4, 794, 1, 1145}, {5, 795, 1, 1145}, {5, 797, 1, 1145}, {6, 796, 1, 1145}, {6, 800, 1, 1145}, {7, 798, 1, 1145}, {8, 799, 1, 1145}, {8, 801, 1, 1145}, {9, 802, 1, 1145}, {165, 360, 1, 1146}, {166, 361, 1, 1147}, {167, 362, 1, 1147}, {168, 363, 1, 1147}, {169, 361, 1, 1148}, {170, 362, 1, 1148}, {171, 363, 1, 1148}, {170, 361, 1, 1149}, {172, 362, 1, 1149}, {173, 363, 1, 1149}, {171, 361, 1, 1150}, {173, 362, 1, 1150}, {174, 363, 1, 1150}, {166, 364, 1, 1151}, {167, 365, 1, 1151}, {168, 366, 1, 1151}, {166, 365, 1, 1152}, {167, 367, 1, 1152}, {168, 368, 1, 1152}, {166, 366, 1, 1153}, {167, 368, 1, 1153}, {168, 369, 1, 1153}, {4, 767, 1, 1154}, {5, 768, 2, 1154}, {6, 769, 2, 1154}, {7, 770, 1, 1154}, {8, 771, 2, 1154}, {9, 772, 1, 1154}, {4, 807, 1, 1155}, {5, 808, 2, 1155}, {6, 809, 2, 1155}, {7, 810, 1, 1155}, {8, 811, 2, 1155}, {9, 812, 1, 1155}, {10, 739, 1, 1156}, {11, 740, 2, 1156}, {11, 745, 1, 1156}, {12, 741, 2, 1156}, {12, 751, 1, 1156}, {13, 742, 1, 1156}, {13, 746, 2, 1156}, {14, 743, 2, 1156}, {14, 747, 2, 1156}, {14, 752, 2, 1156}, {15, 744, 1, 1156}, {15, 753, 2, 1156}, {16, 748, 1, 1156}, {17, 749, 2, 1156}, {17, 754, 1, 1156}, {18, 750, 1, 1156}, {18, 755, 2, 1156}, {19, 756, 1, 1156}, {166, 416, 1, 1157}, {167, 417, 1, 1157}, {168, 418, 1, 1157}, {166, 417, 1, 1158}, {167, 419, 1, 1158}, {168, 420, 1, 1158}, {166, 418, 1, 1159}, {167, 420, 1, 1159}, {168, 421, 1, 1159}, {169, 416, 1, 1160}, {170, 417, 2, 1160}, {171, 418, 2, 1160}, {172, 419, 1, 1160}, {173, 420, 2, 1160}, {174, 421, 1, 1160}, {10, 773, 1, 1161}, {11, 774, 1, 1161}, {11, 776, 2, 1161}, {12, 775, 1, 1161}, {12, 779, 2, 1161}, {13, 777, 2, 1161}, {13, 782, 1, 1161}, {14, 778, 2, 1161}, {14, 780, 2, 1161}, {14, 785, 2, 1161}, {15, 781, 2, 1161}, {15, 788, 1, 1161}, {16, 783, 1, 1161}, {17, 784, 1, 1161}, {17, 786, 2, 1161}, {18, 787, 2, 1161}, {18, 789, 1, 1161}, {19, 790, 1, 1161}, {165, 470, 1, 1162}, {166, 471, 1, 1163}, {167, 472, 1, 1163}, {168, 473, 1, 1163}, {169, 474, 1, 1164}, {170, 475, 2, 1164}, {171, 476, 2, 1164}, {172, 477, 1, 1164}, {173, 478, 2, 1164}, {174, 479, 1, 1164}, {169, 511, 1, 1165}, {170, 512, 2, 1165}, {171, 513, 2, 1165}, {172, 514, 1, 1165}, {173, 515, 2, 1165}, {174, 516, 1, 1165}, {165, 565, 1, 1166}, {166, 566, 1, 1167}, {167, 567, 1, 1167}, {168, 568, 1, 1167}, {165, 630, 1, 1168}, {0, 818, 1, 1169}, {0, 819, 1, 1170}, {0, 835, 1, 1171}, {0, 842, 1, 1172}, {1, 820, 1, 1173}, {2, 821, 1, 1173}, {3, 822, 1, 1173}, {1, 836, 1, 1174}, {2, 837, 1, 1174}, {3, 838, 1, 1174}, {249, 296, 1, 1175}, {1, 823, 1, 1176}, {2, 824, 1, 1176}, {3, 825, 1, 1176}, {1, 839, 1, 1177}, {2, 840, 1, 1177}, {3, 841, 1, 1177}, {4, 826, 1, 1178}, {5, 827, 1, 1178}, {5, 829, 1, 1178}, {6, 828, 1, 1178}, {6, 832, 1, 1178}, {7, 830, 1, 1178}, {8, 831, 1, 1178}, {8, 833, 1, 1178}, {9, 834, 1, 1178}, {249, 360, 1, 1179}, {250, 361, 1, 1180}, {251, 362, 1, 1180}, {252, 363, 1, 1180}, {249, 470, 1, 1181}, {0, 844, 1, 1182}, {0, 845, 1, 1183}, {284, 296, 1, 1184}, {0, 848, 1, 1185}, {0, 849, 1, 1186}, {0, 859, 1, 1187}, {0, 863, 1, 1188}, {165, 653, 1, 1189}, {1, 850, 1, 1190}, {2, 851, 1, 1190}, {3, 852, 1, 1190}, {1, 860, 1, 1191}, {2, 861, 1, 1191}, {3, 862, 1, 1191}, {165, 693, 1, 1192}, {166, 694, 1, 1193}, {167, 695, 1, 1193}, {168, 696, 1, 1193}, {166, 663, 1, 1194}, {167, 664, 1, 1194}, {168, 665, 1, 1194}, {4, 853, 1, 1195}, {5, 854, 2, 1195}, {6, 855, 2, 1195}, {7, 856, 1, 1195}, {8, 857, 2, 1195}, {9, 858, 1, 1195}, {165, 757, 1, 1196}, {166, 727, 1, 1197}, {167, 728, 1, 1197}, {168, 729, 1, 1197}, {0, 865, 1, 1198}, {0, 866, 1, 1199}, {165, 819, 1, 1200}, {249, 653, 1, 1201}, {165, 848, 1, 1202}, {165, 849, 1, 1203}, {296, 296, 1, 1204}, {296, 360, 1, 1205}, {296, 470, 1, 1206}, {296, 565, 1, 1207}, {296, 630, 1, 1208}, {360, 360, 1, 1209}, {361, 361, 1, 1210}, {362, 362, 1, 1210}, {363, 363, 1, 1210}, {360, 470, 1, 1211}, {361, 471, 1, 1212}, {362, 472, 1, 1212}, {363, 473, 1, 1212}, {360, 565, 1, 1213}, {470, 470, 1, 1214}, {416, 416, 1, 1215}, {417, 417, 2, 1215}, {418, 418, 2, 1215}, {419, 419, 1, 1215}, {420, 420, 2, 1215}, {421, 421, 1, 1215}, {296, 653, 1, 1216}, {360, 653, 1, 1217}, {470, 653, 1, 1218}, {296, 693, 1, 1219}, {296, 757, 1, 1220}, {360, 693, 1, 1221}, {296, 819, 1, 1222}, {653, 653, 1, 1223}, {296, 849, 1, 1224}, {0, 870, 1, 1225}, {0, 871, 1, 1226}, {0, 872, 1, 1227}, {0, 873, 1, 1228}, {0, 874, 1, 1229}, {0, 875, 1, 1230}, {0, 876, 1, 1231}, {0, 878, 1, 1232}, {0, 885, 1, 1233}, {0, 892, 1, 1234}, {0, 899, 1, 1235}, {0, 906, 1, 1236}, {0, 953, 1, 1237}, {0, 966, 1, 1238}, {0, 979, 1, 1239}, {0, 981, 1, 1240}, {0, 997, 1, 1241}, {0, 1013, 1, 1242}, {0, 1017, 1, 1243}, {0, 1031, 1, 1244}, {0, 1066, 1, 1245}, {0, 1079, 1, 1246}, {0, 1082, 1, 1247}, {1, 879, 1, 1248}, {2, 880, 1, 1248}, {3, 881, 1, 1248}, {1, 886, 1, 1249}, {2, 887, 1, 1249}, {3, 888, 1, 1249}, {1, 893, 1, 1250}, {2, 894, 1, 1250}, {3, 895, 1, 1250}, {1, 900, 1, 1251}, {2, 901, 1, 1251}, {3, 902, 1, 1251}, {1, 882, 1, 1252}, {2, 883, 1, 1252}, {3, 884, 1, 1252}, {1, 889, 1, 1253}, {2, 890, 1, 1253}, {3, 891, 1, 1253}, {1, 896, 1, 1254}, {2, 897, 1, 1254}, {3, 898, 1, 1254}, {1, 903, 1, 1255}, {2, 904, 1, 1255}, {3, 905, 1, 1255}, {1, 954, 1, 1256}, {2, 955, 1, 1256}, {3, 956, 1, 1256}, {1, 967, 1, 1257}, {2, 968, 1, 1257}, {3, 969, 1, 1257}, {1, 982, 1, 1258}, {2, 983, 1, 1258}, {3, 984, 1, 1258}, {1, 998, 1, 1259}, {2, 999, 1, 1259}, {3, 1000, 1, 1259}, {1, 1014, 1, 1260}, {2, 1015, 1, 1260}, {3, 1016, 1, 1260}, {1, 917, 1, 1261}, {2, 918, 1, 1261}, {3, 919, 1, 1261}, {1, 963, 1, 1262}, {2, 964, 1, 1262}, {3, 965, 1, 1262}, {1, 976, 1, 1263}, {2, 977, 1, 1263}, {3, 978, 1, 1263}, {1, 1067, 1, 1264}, {2, 1068, 1, 1264}, {3, 1069, 1, 1264}, {1, 1051, 1, 1265}, {2, 1052, 1, 1265}, {3, 1053, 1, 1265}, {1, 1076, 1, 1266}, {2, 1077, 1, 1266}, {3, 1078, 1, 1266}, {1, 929, 1, 1267}, {2, 930, 1, 1267}, {3, 931, 1, 1267}, {1, 1028, 1, 1268}, {2, 1029, 1, 1268}, {3, 1030, 1, 1268}, {1, 1063, 1, 1269}, {2, 1064, 1, 1269}, {3, 1065, 1, 1269}, {1, 950, 1, 1270}, {2, 951, 1, 1270}, {3, 952, 1, 1270}, {4, 957, 1, 1271}, {5, 958, 2, 1271}, {6, 959, 2, 1271}, {7, 960, 1, 1271}, {8, 961, 2, 1271}, {9, 962, 1, 1271}, {4, 985, 1, 1272}, {5, 986, 2, 1272}, {6, 987, 2, 1272}, {7, 988, 1, 1272}, {8, 989, 2, 1272}, {9, 990, 1, 1272}, {4, 1001, 1, 1273}, {5, 1002, 2, 1273}, {6, 1003, 2, 1273}, {7, 1004, 1, 1273}, {8, 1005, 2, 1273}, {9, 1006, 1, 1273}, {4, 970, 1, 1274}, {5, 971, 2, 1274}, {6, 972, 2, 1274}, {7, 973, 1, 1274}, {8, 974, 2, 1274}, {9, 975, 1, 1274}, {4, 1070, 1, 1275}, {5, 1071, 2, 1275}, {6, 1072, 2, 1275}, {7, 1073, 1, 1275}, {8, 1074, 2, 1275}, {9, 1075, 1, 1275}, {4, 908, 1, 1276}, {5, 909, 1, 1276}, {5, 911, 1, 1276}, {6, 910, 1, 1276}, {6, 914, 1, 1276}, {7, 912, 1, 1276}, {8, 913, 1, 1276}, {8, 915, 1, 1276}, {9, 916, 1, 1276}, {4, 991, 1, 1277}, {5, 992, 2, 1277}, {6, 993, 2, 1277}, {7, 994, 1, 1277}, {8, 995, 2, 1277}, {9, 996, 1, 1277}, {4, 1007, 1, 1278}, {5, 1008, 2, 1278}, {6, 1009, 2, 1278}, {7, 1010, 1, 1278}, {8, 1011, 2, 1278}, {9, 1012, 1, 1278}, {4, 932, 1, 1279}, {5, 933, 1, 1279}, {5, 935, 1, 1279}, {6, 934, 1, 1279}, {6, 938, 1, 1279}, {7, 936, 1, 1279}, {8, 937, 1, 1279}, {8, 939, 1, 1279}, {9, 940, 1, 1279}, {4, 920, 1, 1280}, {5, 921, 1, 1280}, {5, 923, 1, 1280}, {6, 922, 1, 1280}, {6, 926, 1, 1280}, {7, 924, 1, 1280}, {8, 925, 1, 1280}, {8, 927, 1, 1280}, {9, 928, 1, 1280}, {4, 1054, 1, 1281}, {5, 1055, 1, 1281}, {5, 1057, 1, 1281}, {6, 1056, 1, 1281}, {6, 1060, 1, 1281}, {7, 1058, 1, 1281}, {8, 1059, 1, 1281}, {8, 1061, 1, 1281}, {9, 1062, 1, 1281}, {4, 941, 1, 1282}, {5, 942, 1, 1282}, {5, 944, 1, 1282}, {6, 943, 1, 1282}, {6, 947, 1, 1282}, {7, 945, 1, 1282}, {8, 946, 1, 1282}, {8, 948, 1, 1282}, {9, 949, 1, 1282}, {4, 1019, 1, 1283}, {5, 1020, 1, 1283}, {5, 1022, 1, 1283}, {6, 1021, 1, 1283}, {6, 1025, 1, 1283}, {7, 1023, 1, 1283}, {8, 1024, 1, 1283}, {8, 1026, 1, 1283}, {9, 1027, 1, 1283}, {10, 1033, 1, 1284}, {11, 1034, 2, 1284}, {11, 1039, 1, 1284}, {12, 1035, 2, 1284}, {12, 1045, 1, 1284}, {13, 1036, 1, 1284}, {13, 1040, 2, 1284}, {14, 1037, 2, 1284}, {14, 1041, 2, 1284}, {14, 1046, 2, 1284}, {15, 1038, 1, 1284}, {15, 1047, 2, 1284}, {16, 1042, 1, 1284}, {17, 1043, 2, 1284}, {17, 1048, 1, 1284}, {18, 1044, 1, 1284}, {18, 1049, 2, 1284}, {19, 1050, 1, 1284}, {0, 1084, 1, 1285}, {0, 1085, 1, 1286}, {0, 1086, 1, 1287}, {0, 1087, 1, 1288}, {0, 1088, 1, 1289}, {0, 1090, 1, 1290}, {0, 1094, 1, 1291}, {0, 1098, 1, 1292}, {0, 1100, 1, 1293}, {0, 1101, 1, 1294}, {0, 1108, 1, 1295}, {0, 1115, 1, 1296}, {0, 1120, 1, 1297}, {0, 1137, 1, 1298}, {0, 1144, 1, 1299}, {0, 1146, 1, 1300}, {0, 1147, 1, 1301}, {0, 1154, 1, 1302}, {0, 1160, 1, 1303}, {0, 1162, 1, 1304}, {0, 1163, 1, 1305}, {0, 1166, 1, 1306}, {1, 1091, 1, 1307}, {2, 1092, 1, 1307}, {3, 1093, 1, 1307}, {1, 1095, 1, 1308}, {2, 1096, 1, 1308}, {3, 1097, 1, 1308}, {1, 1102, 1, 1309}, {2, 1103, 1, 1309}, {3, 1104, 1, 1309}, {1, 1109, 1, 1310}, {2, 1110, 1, 1310}, {3, 1111, 1, 1310}, {1, 1138, 1, 1311}, {2, 1139, 1, 1311}, {3, 1140, 1, 1311}, {1, 1148, 1, 1312}, {2, 1149, 1, 1312}, {3, 1150, 1, 1312}, {165, 878, 1, 1313}, {1, 1105, 1, 1314}, {2, 1106, 1, 1314}, {3, 1107, 1, 1314}, {1, 1112, 1, 1315}, {2, 1113, 1, 1315}, {3, 1114, 1, 1315}, {1, 1117, 1, 1316}, {2, 1118, 1, 1316}, {3, 1119, 1, 1316}, {1, 1122, 1, 1317}, {2, 1123, 1, 1317}, {3, 1124, 1, 1317}, {1, 1141, 1, 1318}, {2, 1142, 1, 1318}, {3, 1143, 1, 1318}, {165, 885, 1, 1319}, {1, 1151, 1, 1320}, {2, 1152, 1, 1320}, {3, 1153, 1, 1320}, {1, 1134, 1, 1321}, {2, 1135, 1, 1321}, {3, 1136, 1, 1321}, {1, 1157, 1, 1322}, {2, 1158, 1, 1322}, {3, 1159, 1, 1322}, {165, 892, 1, 1323}, {4, 1125, 1, 1324}, {5, 1126, 1, 1324}, {5, 1128, 1, 1324}, {6, 1127, 1, 1324}, {6, 1131, 1, 1324}, {7, 1129, 1, 1324}, {8, 1130, 1, 1324}, {8, 1132, 1, 1324}, {9, 1133, 1, 1324}, {166, 917, 1, 1325}, {167, 918, 1, 1325}, {168, 919, 1, 1325}, {165, 953, 1, 1326}, {165, 981, 1, 1327}, {166, 982, 1, 1328}, {167, 983, 1, 1328}, {168, 984, 1, 1328}, {165, 997, 1, 1329}, {0, 1169, 1, 1330}, {0, 1170, 1, 1331}, {0, 1171, 1, 1332}, {0, 1173, 1, 1333}, {0, 1175, 1, 1334}, {0, 1176, 1, 1335}, {0, 1179, 1, 1336}, {249, 878, 1, 1337}, {0, 1182, 1, 1338}, {0, 1185, 1, 1339}, {0, 1186, 1, 1340}, {0, 1187, 1, 1341}, {0, 1189, 1, 1342}, {0, 1190, 1, 1343}, {0, 1192, 1, 1344}, {0, 1194, 1, 1345}, {165, 1090, 1, 1346}, {165, 1100, 1, 1347}, {165, 1101, 1, 1348}, {165, 1146, 1, 1349}, {0, 1198, 1, 1350}, {0, 1202, 1, 1351}}
alpha_scalar_moments = 288
alpha_moment_mapping = {0, 165, 249, 284, 294, 295, 296, 360, 470, 565, 630, 646, 650, 651, 652, 653, 693, 757, 803, 816, 817, 818, 819, 835, 842, 843, 844, 845, 846, 847, 848, 849, 859, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 885, 892, 899, 906, 907, 953, 966, 979, 980, 981, 997, 1013, 1017, 1018, 1031, 1032, 1066, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1094, 1098, 1099, 1100, 1101, 1108, 1115, 1116, 1120, 1121, 1137, 1144, 1145, 1146, 1147, 1154, 1155, 1156, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1204, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1205, 1261, 1262, 1263, 1264, 1265, 1266, 1206, 1267, 1268, 1269, 1207, 1270, 1208, 1271, 1272, 1273, 1209, 1210, 1274, 1275, 1211, 1212, 1213, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1214, 1215, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1216, 1309, 1310, 1311, 1217, 1312, 1218, 1313, 1314, 1315, 1219, 1316, 1317, 1318, 1319, 1320, 1220, 1321, 1322, 1323, 1221, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1222, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1223, 1347, 1224, 1348, 1349, 1350, 1351}
species_coeffs = {-5.669136423171344, -4.170278999261336, -2.897723326080335, -3.872627870683605, -4.458998134066833, -5.727518292598258}
moment_coeffs = {21.58456174092132, -31.85883044892448, 15.89082827385225, -6.297612973098063, 3.927397861843597, -3.754064483352532, -1.387797325922703, 11.07775656079296, -1.143849724219817, -6.607270699842362, -6.532703878782338, -41.2978025701682, -25.79353784240878, -0.3912565339846936, -1.860527739662611, 6.384091465368869, 12.47008451579411, -3.160989898563883, 61.85134300343302, 51.27086410612317, -0.938763877495405, -3.504211648923941, 2.045252693673711, 3.874721311992323, -11.54251924341719, -11.97560385833298, 0.1684686234282776, -0.4191224892172273, 0.8889365954259982, -0.4625372294564958, 3.945868679146413, 0.3204161685197474, -20.30210404038739, -1.859222330150915, 3.944106238880979, -2.553963052063659, -7.826607712222185, 5.966123889798322, 0.7398867511403151, 0.5609906868819854, 0.2098849556121127, -1.640932800281693, -1.439604231177115, -2.133309595442177, -4.893636075329445, 0.1106011944374808, 10.81115211471208, 6.474652192441477, -6.035113466881808, 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