owner0 mode2 compatibility boundary mass rows

import Definitions.Def_mme_released_global_profile_data
open scoped BigOperators
open MME MME.ReleasedGlobal MME.MoreAsymmetryExactSeed

theorem mme_released_global_owner0_mode2_compatibility_boundary_mass_rows : ∀ (s : Fin 45) (w : Word),
    (((([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120765000000000000000000000000000000000000000000000000], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4139797000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4139797000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 4139797000000000000000000000000000000000000000000000000, 0, 4139797000000000000000000000000000000000000000000000000, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3967789758606082410000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84992603984489607903000000000000000000000000000000000000, 0, 0, 0, 0, 0, 77006471557960005378000000000000000000000000000000000000, 0, 77006471238418165689000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3967789759593846984000000000000000000000000000000000000, 0, 0, 0, 0, 0, 77006471647352699325000000000000000000000000000000000000, 0, 77006471254222398873000000000000000000000000000000000000, 0, 0, 0, 3967789759099964697000000000000000000000000000000000000, 0, 84992638308814672116000000000000000000000000000000000000, 0, 3967789731442556625000000000000000000000000000000000000, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55531599593623160454000000000000000000000000000000000000, 0, 0, 0, 0, 0, 53378732222635276074000000000000000000000000000000000000, 0, 53378732227405027392000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55531599593623160454000000000000000000000000000000000000, 0, 0, 0, 0, 0, 1030148769377072119476000000000000000000000000000000000000, 0, 1030148778158184295914000000000000000000000000000000000000, 0, 0, 0, 53378735647316722398000000000000000000000000000000000000, 0, 1030148915002349609334000000000000000000000000000000000000, 0, 53378735642546971080000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 53378732222635276074000000000000000000000000000000000000, 0, 53378732227405027392000000000000000000000000000000000000, 0, 0, 0, 53378735637777219762000000000000000000000000000000000000, 0, 1030148911706451448596000000000000000000000000000000000000, 0, 53378735718862992168000000000000000000000000000000000000, 0, 0, 0, 55531436496746592762000000000000000000000000000000000000, 0, 55531436525365100670000000000000000000000000000000000000, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 19750258965749013904000000000000000000000000000000000000, 0, 0, 0, 0, 0, 399208865309743947296000000000000000000000000000000000000, 0, 399208865008907692448000000000000000000000000000000000000, 0, 0, 0, 19147542967898541760000000000000000000000000000000000000, 0, 405091696023948572496000000000000000000000000000000000000, 0, 19147542967898541760000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 399208864883559252928000000000000000000000000000000000000, 0, 399208865334813635200000000000000000000000000000000000000, 0, 0, 0, 405091683576848528160000000000000000000000000000000000000, 0, 7604715408639581755648000000000000000000000000000000000000, 0, 405091683601918216064000000000000000000000000000000000000, 0, 0, 0, 399208879411443393296000000000000000000000000000000000000, 0, 399208879386373705392000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 19147542917759165952000000000000000000000000000000000000, 0, 405091689505829717456000000000000000000000000000000000000, 0, 19147542967898541760000000000000000000000000000000000000, 0, 0, 0, 399208879612000896528000000000000000000000000000000000000, 0, 399208879336234329584000000000000000000000000000000000000, 0, 0, 0, 0, 0, 19750381581592552368000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 45351879812734067820000000000000000000000000000000000000, 0, 45351879822237942164000000000000000000000000000000000000, 0, 0, 0, 42833293926196590560000000000000000000000000000000000000, 0, 1056965696158212667412000000000000000000000000000000000000, 0, 42833293945204339248000000000000000000000000000000000000, 0, 0, 0, 42833301491280568384000000000000000000000000000000000000, 0, 42833301477024756868000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 42833293930948527732000000000000000000000000000000000000, 0, 1056965689975942406640000000000000000000000000000000000000, 0, 42833293926196590560000000000000000000000000000000000000, 0, 0, 0, 1056965487006449979004000000000000000000000000000000000000, 0, 1056965486716581811512000000000000000000000000000000000000, 0, 0, 0, 0, 0, 45352335371446873116000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42833301477024756868000000000000000000000000000000000000, 0, 42833301477024756868000000000000000000000000000000000000, 0, 0, 0, 0, 0, 45352335485493365244000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2948232351883483143000000000000000000000000000000000000, 0, 71645969802303323810000000000000000000000000000000000000, 0, 2948232314357199168000000000000000000000000000000000000, 0, 0, 0, 86329761085574394067000000000000000000000000000000000000, 0, 86329761124601729401000000000000000000000000000000000000, 0, 0, 0, 0, 0, 2946463522969046603000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86329761117096472606000000000000000000000000000000000000, 0, 86329761127603832119000000000000000000000000000000000000, 0, 0, 0, 0, 0, 71596046923566475538000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2946463630044043545000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4173211000000000000000000000000000000000000000000000000, 0, 4173211000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 4173211000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4173211000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [119658000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4112513250000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4112513250000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 4112513250000000000000000000000000000000000000000000000, 0, 4112513250000000000000000000000000000000000000000000000, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3930045027050214710000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84157287516463574039000000000000000000000000000000000000, 0, 0, 0, 0, 0, 76263812813937898083000000000000000000000000000000000000, 0, 76263812813937898083000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3930045023137494382000000000000000000000000000000000000, 0, 0, 0, 0, 0, 76263813022779345590000000000000000000000000000000000000, 0, 76263813298137038673000000000000000000000000000000000000, 0, 0, 0, 3930045022648404341000000000000000000000000000000000000, 0, 84157321479854201161000000000000000000000000000000000000, 0, 3930044982053930938000000000000000000000000000000000000, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55322327784389008796000000000000000000000000000000000000, 0, 0, 0, 0, 0, 52949005943894580734000000000000000000000000000000000000, 0, 52949005943894580734000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55322327784389008796000000000000000000000000000000000000, 0, 0, 0, 0, 0, 1018787040722492423310000000000000000000000000000000000000, 0, 1018787032552121355348000000000000000000000000000000000000, 0, 0, 0, 52949009347035851676000000000000000000000000000000000000, 0, 1018787166275277176510000000000000000000000000000000000000, 0, 52949009361195940182000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 52949005943894580734000000000000000000000000000000000000, 0, 52949005939174551232000000000000000000000000000000000000, 0, 0, 0, 52949009365915969684000000000000000000000000000000000000, 0, 1018787171028346885024000000000000000000000000000000000000, 0, 52949009361195940182000000000000000000000000000000000000, 0, 0, 0, 55322187316311029276000000000000000000000000000000000000, 0, 55322187330471117782000000000000000000000000000000000000, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 22663995862647408106000000000000000000000000000000000000, 0, 0, 0, 0, 0, 407830570875487924392000000000000000000000000000000000000, 0, 407830570975758671608000000000000000000000000000000000000, 0, 0, 0, 21897500225601714750000000000000000000000000000000000000, 0, 411911864866086532006000000000000000000000000000000000000, 0, 21897500225601714750000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 407830571000826358412000000000000000000000000000000000000, 0, 407830570662412586558000000000000000000000000000000000000, 0, 0, 0, 411911860366436750688000000000000000000000000000000000000, 0, 7490633296683740039270000000000000000000000000000000000000, 0, 411911860128293726050000000000000000000000000000000000000, 0, 0, 0, 407830579924922860636000000000000000000000000000000000000, 0, 407830579924922860636000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 21897500200534027946000000000000000000000000000000000000, 0, 411911871333549727438000000000000000000000000000000000000, 0, 21897500225601714750000000000000000000000000000000000000, 0, 0, 0, 407830579862253643626000000000000000000000000000000000000, 0, 407830584600046449582000000000000000000000000000000000000, 0, 0, 0, 0, 0, 22664044055275288796000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 53429815430252783888000000000000000000000000000000000000, 0, 53429815387153588856000000000000000000000000000000000000, 0, 0, 0, 47683224098683671800000000000000000000000000000000000000, 0, 1048403470329460231888000000000000000000000000000000000000, 0, 47683224098683671800000000000000000000000000000000000000, 0, 0, 0, 47683229126923092200000000000000000000000000000000000000, 0, 47683229126923092200000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 47683224098683671800000000000000000000000000000000000000, 0, 1048403470248050641272000000000000000000000000000000000000, 0, 47683224098683671800000000000000000000000000000000000000, 0, 0, 0, 1048403257074643213552000000000000000000000000000000000000, 0, 1048403256993233622936000000000000000000000000000000000000, 0, 0, 0, 0, 0, 53430274747951838808000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47683229126923092200000000000000000000000000000000000000, 0, 47683229126923092200000000000000000000000000000000000000, 0, 0, 0, 0, 0, 53430274886827022800000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3667920710047727221000000000000000000000000000000000000, 0, 78824370884240634246000000000000000000000000000000000000, 0, 3667920705468104338000000000000000000000000000000000000, 0, 0, 0, 84131634598017131939000000000000000000000000000000000000, 0, 84131634618879858406000000000000000000000000000000000000, 0, 0, 0, 0, 0, 3667922264575272506000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84131634674853026976000000000000000000000000000000000000, 0, 84131634599034825913000000000000000000000000000000000000, 0, 0, 0, 0, 0, 78824391679799298962000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3667922265084119493000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4182200500000000000000000000000000000000000000000000000, 0, 4182200500000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 4182200500000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4182200500000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [120039000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [22772078408000000000000000000000000000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 28398126275245566910706541358579060500000000000000000000000, 0, 28398126275245566910706541358579060500000000000000000000000, 0, 0, 0, 0, 0, 28398001395754433089293458641420939500000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28398001395754433089293458641420939500000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1619758238416784013237563593563294455663444627000000000000, 0, 49947882989825348036955645611897446088673110746000000000000, 0, 1619758238416784013237563593563294455663444627000000000000, 0, 0, 0, 45618916416942265840734310120904261500000000000000000000000, 0, 45618916416942265840734310120904261500000000000000000000000, 0, 0, 0, 0, 0, 1619759058512158590059547473710229267942254307000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45618916416942265840734310120904261500000000000000000000000, 0, 45618916416942265840734310120904261500000000000000000000000, 0, 0, 0, 0, 0, 49947914604547703393512891769938460464115491386000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1619759058512158590059547473710229267942254307000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2209524917797719572244098332634472500000000000000000000000, 0, 2209524917797719572244098332634472500000000000000000000000, 0, 0, 0, 2610209072239182537989693746132600304344832772500000000000, 0, 78504771795687985104257424913264706391310334455000000000000, 0, 2610209072239182537989693746132600304344832772500000000000, 0, 0, 0, 2610208666733907536260837227146643335685494926000000000000, 0, 2610208666733907536260837227146643335685494926000000000000, 0, 0, 0, 0, 0, 0, 0, 2610209072239182537989693746132600304344832772500000000000, 0, 78504771795687985104257424913264706391310334455000000000000, 0, 2610209072239182537989693746132600304344832772500000000000, 0, 0, 0, 78504795062322160052963228384543060828629010148000000000000, 0, 78504795062322160052963228384543060828629010148000000000000, 0, 0, 0, 0, 0, 2209496640745955122034186422999273000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2610208666733907536260837227146643335685494926000000000000, 0, 2610208666733907536260837227146643335685494926000000000000, 0, 0, 0, 0, 0, 2209496640745955122034186422999273000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 53441581206410233573904040111711000000000000000000000000, 0, 0, 0, 0, 0, 2965123937020559558017583576178697750000000000000000000000, 0, 2965123937020559558017583576178697750000000000000000000000, 0, 0, 0, 59471268191501827778707768870591792348262372625704017995, 0, 2903627278750932927024745421207394389119178184748591964010, 0, 59471268191501827778707768870591792348262372625704017995, 0, 0, 0, 0, 0, 0, 0, 2965123937020559558017583576178697750000000000000000000000, 0, 2965123937020559558017583576178697750000000000000000000000, 0, 0, 0, 2903627368168540781952915533078827705381348706748591964010, 0, 129226369078973424338427304220106615641605896726502816071980, 0, 2903627368168540781952915533078827705381348706748591964010, 0, 0, 0, 2965123796925380060722915029694160500000000000000000000000, 0, 2965123796925380060722915029694160500000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 59471268191501827778707768870591792348262372625704017995, 0, 2903627278750932927024745421207394389119178184748591964010, 0, 59471268191501827778707768870591792348262372625704017995, 0, 0, 0, 2965123796925380060722915029694160500000000000000000000000, 0, 2965123796925380060722915029694160500000000000000000000000, 0, 0, 0, 0, 0, 53441129431452223966644332235429000000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63806495620777510706422216097224000000000000000000000000, 0, 0, 0, 0, 0, 79227442203988734133622069329054399254666133000000000000, 0, 79227442203988734133622069329054399254666133000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63806495620777510706422216097224000000000000000000000000, 0, 0, 0, 0, 0, 4608678843960676890111943750237065201490667734000000000000, 0, 4608678843960676890111943750237065201490667734000000000000, 0, 0, 0, 79227418856883398983270075265793892321203606000000000000, 0, 4608677399742663082945423475056003215357592788000000000000, 0, 79227418856883398983270075265793892321203606000000000000, 0, 0, 0, 0, 0, 0, 0, 79227442203988734133622069329054399254666133000000000000, 0, 79227442203988734133622069329054399254666133000000000000, 0, 0, 0, 79227418856883398983270075265793892321203606000000000000, 0, 4608677399742663082945423475056003215357592788000000000000, 0, 79227418856883398983270075265793892321203606000000000000, 0, 0, 0, 63807411054138250002426269420011000000000000000000000000, 0, 63807411054138250002426269420011000000000000000000000000, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 259812754739137203187701269782404254652000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75230625684489640344036116805105435191490696000000000000, 0, 0, 0, 0, 0, 126823942793188451024710516095327750000000000000000000000, 0, 126823942793188451024710516095327750000000000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 259812754739137203187701269782404254652000000000000, 0, 0, 0, 0, 0, 126823942793188451024710516095327750000000000000000000000, 0, 126823942793188451024710516095327750000000000000000000000, 0, 0, 0, 259812001300072728059443356416402871144000000000000, 0, 75230420893244477137259324524331167194257712000000000000, 0, 259812001300072728059443356416402871144000000000000, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] : List (List ℕ)).getD s.val []).getD (27 * (w 0).val + 9 * (w 1).val + 3 * (w 2).val + (w 3).val) 0 : ℕ) : ℚ) / 1000000000000000000000000000000000000000000000000000000000000 =
    if ((shape s).val 1).val = 0 then ((alpha 0 s * ((jointRows 0 s).map (fun a => if atom a.1 2 = w then a.2 else 0)).sum : ℕ) : ℚ) / (denominator : ℚ) ^ 5 else 0 := by sorry