Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
Download

Companion to "Pfaffian Point Processes for Two Classes of Random Plane Partitions"

27669 views
[[0, -315329095933/323819737080, 10756243189/3854996870, -521781509/87832660, 36196665620221/3319152305070, -237447897323513/13276609220280, 43946850559817/1659576152535, -2181066701762068/61404317643795, 2652941379185621/61404317643795, -11702215283956333/245617270575180, 2921167133937404/61404317643795, -5268890934360131/122808635287590, 2137274727208541/61404317643795, -886005219058849/35088181510740, 657405686632/40477467135, -15186476617189/1659576152535, 7368375412448/1659576152535, -24026756730383/13276609220280, 48318024829/80954934270, -8084922807/53969956180, 814217/31909710, -3342397/1506138312], [315329095933/323819737080, 0, -144906269659/53969956180, 26842493246647/3319152305070, -4310213815067/250502060760, 14461918088489/474164615010, -238307898322/5044304415, 4001009475215932/61404317643795, -19821091154588291/245617270575180, 5531532712684858/61404317643795, -11141330299203577/122808635287590, 85679377147313/1040751146505, -16480200282517001/245617270575180, 2999487799059403/61404317643795, -1275270371143/40477467135, 29524260733606/1659576152535, -2442636638303/282481047240, 5857829563714/1659576152535, -62904384929/53969956180, 23707143557/80954934270, -375965407/7530691560, 8180779/1882672890], [-10756243189/3854996870, 144906269659/53969956180, 0, -11932962565/1607337678, 14497940450305/663830461014, -59145737956735/1327660922028, 24764890847786/331915230507, -1326786782770942/12280863528759, 1697332433069174/12280863528759, -3876087968813621/24561727057518, 1983970663253084/12280863528759, -260354839669063/1754409075537, 1499349392569271/12280863528759, -2199181821978329/24561727057518, 470249953972/8095493427, -10938830447434/331915230507, 10675590510643/663830461014, -1249158366859/189665846004, 17654895224/8095493427, -1270379621/2312998122, 25234841/268953270, -10268037/1255115260], [521781509/87832660, -26842493246647/3319152305070, 11932962565/1607337678, 0, -24984757551905/1327660922028, 34811051110043/663830461014, -33363845447378/331915230507, 1929769740420544/12280863528759, -5186705099064511/24561727057518, 71249738498917/285601477413, -459270250623833/1754409075537, 3008721039578344/12280863528759, -5022417545266039/24561727057518, 1862826163567609/12280863528759, -32965622178374/331915230507, 18845626638712/331915230507, -37017178439531/1327660922028, 7620437997083/663830461014, -61824782461/16190986854, 7815717032/8095493427, -207707411/1255115260, 446671/30863490], [-36196665620221/3319152305070, 4310213815067/250502060760, -14497940450305/663830461014, 24984757551905/1327660922028, 0, -37128688073307/885107281352, 12068829933072/110638410169, -795852902777361/4093621176253, 1152570419784102/4093621176253, -5718508738554711/16374484705012, 33032827547610/87098322899, -63422081676111/174196645798, 1268542522095878/4093621176253, -3822710651344229/16374484705012, 17124959526586/110638410169, -162150231281/1813744429, 160625526197/3627488858, -16254457066213/885107281352, 14217564701/2312998122, -50597622421/32381973708, 253312294/941336445, -177957173/7530691560], [237447897323513/13276609220280, -14461918088489/474164615010, 59145737956735/1327660922028, -34811051110043/663830461014, 37128688073307/885107281352, 0, -1271869563921/15805487167, 792997474447002/4093621176253, -5222718062785113/16374484705012, 1742411681381437/4093621176253, -3969938228708859/8187242352506, 1971371019252483/4093621176253, -6884418889656795/16374484705012, 1322509383735262/4093621176253, -24075932179883/110638410169, 14086891094098/110638410169, -56421561723211/885107281352, 843339448535/31610974334, -291418564211/32381973708, 37289144887/16190986854, -3004517899/7530691560, 4735826/134476635], [-43946850559817/1659576152535, 238307898322/5044304415, -24764890847786/331915230507, 33363845447378/331915230507, -12068829933072/110638410169, 1271869563921/15805487167, 0, -537406121283636/4093621176253, 1191700816842789/4093621176253, -1804346290025103/4093621176253, 2208368392328890/4093621176253, -2298612156699688/4093621176253, 2074926246682116/4093621176253, -1634906522321930/4093621176253, 4336088019040/15805487167, -18041922560936/110638410169, 9150895588294/110638410169, -553104114839/15805487167, 96451686064/8095493427, -24880755586/8095493427, 504666046/941336445, -44818069/941336445], [2181066701762068/61404317643795, -4001009475215932/61404317643795, 1326786782770942/12280863528759, -1929769740420544/12280863528759, 795852902777361/4093621176253, -792997474447002/4093621176253, 537406121283636/4093621176253, 0, -740199560085315/4093621176253, 1506305858475550/4093621176253, -298354817847328/584803025179, 333253545932648/584803025179, -2205062914364742/4093621176253, 1795323653418364/4093621176253, -34162987336664/110638410169, 2957558758336/15805487167, -10665508671935/110638410169, 4571011036210/110638410169, -115111107710/8095493427, 29969702696/8095493427, -11561479/17761065, 54798038/941336445], [-2652941379185621/61404317643795, 19821091154588291/245617270575180, -1697332433069174/12280863528759, 5186705099064511/24561727057518, -1152570419784102/4093621176253, 5222718062785113/16374484705012, -1191700816842789/4093621176253, 740199560085315/4093621176253, 0, -1712075487464595/8187242352506, 1592847180308780/4093621176253, -2013107245414849/4093621176253, 291446354033922/584803025179, -496596566643223/1169606050358, 34156141833988/110638410169, -21206189200346/110638410169, 11134080903058/110638410169, -46930179685/1071558452, 123581178445/8095493427, -65040738209/16190986854, 671010349/941336445, -241936129/3765345780], [11702215283956333/245617270575180, -5531532712684858/61404317643795, 3876087968813621/24561727057518, -71249738498917/285601477413, 5718508738554711/16374484705012, -1742411681381437/4093621176253, 1804346290025103/4093621176253, -1506305858475550/4093621176253, 1712075487464595/8187242352506, 0, -118104417139709/584803025179, 1400662056457898/4093621176253, -3209252082399311/8187242352506, 31160553158978/87098322899, -30097216658406/110638410169, 2755426051732/15805487167, -41483960191599/442553640676, 656913903610/15805487167, -238115584615/16190986854, 31722869669/8095493427, -2645872367/3765345780, 60162677/941336445], [-2921167133937404/61404317643795, 11141330299203577/122808635287590, -1983970663253084/12280863528759, 459270250623833/1754409075537, -33032827547610/87098322899, 3969938228708859/8187242352506, -2208368392328890/4093621176253, 298354817847328/584803025179, -1592847180308780/4093621176253, 118104417139709/584803025179, 0, -662368606480698/4093621176253, 1016349417598034/4093621176253, -1047871567389917/4093621176253, 3293691500992/15805487167, -15443505750756/110638410169, 161653174171/2087517173, -7777900091669/221276820338, 50744072/4005687, -3961869991/1156499061, 83628943/134476635, -107594213/1882672890], [5268890934360131/122808635287590, -85679377147313/1040751146505, 260354839669063/1754409075537, -3008721039578344/12280863528759, 63422081676111/174196645798, -1971371019252483/4093621176253, 2298612156699688/4093621176253, -333253545932648/584803025179, 2013107245414849/4093621176253, -1400662056457898/4093621176253, 662368606480698/4093621176253, 0, -436445957199915/4093621176253, 602291427498946/4093621176253, -14961149880476/110638410169, 10724201065328/110638410169, -12431685824291/221276820338, 2910020164343/110638410169, -11219377529/1156499061, 21625503992/8095493427, -926373139/1882672890, 43081973/941336445], [-2137274727208541/61404317643795, 16480200282517001/245617270575180, -1499349392569271/12280863528759, 5022417545266039/24561727057518, -1268542522095878/4093621176253, 6884418889656795/16374484705012, -2074926246682116/4093621176253, 2205062914364742/4093621176253, -291446354033922/584803025179, 3209252082399311/8187242352506, -1016349417598034/4093621176253, 436445957199915/4093621176253, 0, -66787834819025/1169606050358, 7767903441520/110638410169, -6283301020562/110638410169, 10500476258/298216739, -7619168380235/442553640676, 53004145840/8095493427, -29865914069/16190986854, 325602904/941336445, -122894959/3765345780], [886005219058849/35088181510740, -2999487799059403/61404317643795, 2199181821978329/24561727057518, -1862826163567609/12280863528759, 3822710651344229/16374484705012, -1322509383735262/4093621176253, 1634906522321930/4093621176253, -1795323653418364/4093621176253, 496596566643223/1169606050358, -31160553158978/87098322899, 1047871567389917/4093621176253, -602291427498946/4093621176253, 66787834819025/1169606050358, 0, -2706978116790/110638410169, 2927948464404/110638410169, -1170148623507/63221948668, 1070680330905/110638410169, -62214869935/16190986854, 9034003319/8095493427, -805974257/3765345780, 19351442/941336445], [-657405686632/40477467135, 1275270371143/40477467135, -470249953972/8095493427, 32965622178374/331915230507, -17124959526586/110638410169, 24075932179883/110638410169, -4336088019040/15805487167, 34162987336664/110638410169, -34156141833988/110638410169, 30097216658406/110638410169, -3293691500992/15805487167, 14961149880476/110638410169, -7767903441520/110638410169, 2706978116790/110638410169, 0, -907905209328/110638410169, 16014902139/2087517173, -500457840420/110638410169, 15544216270/8095493427, -4712172058/8095493427, 108314866/941336445, -1519837/134476635], [15186476617189/1659576152535, -29524260733606/1659576152535, 10938830447434/331915230507, -18845626638712/331915230507, 162150231281/1813744429, -14086891094098/110638410169, 18041922560936/110638410169, -2957558758336/15805487167, 21206189200346/110638410169, -2755426051732/15805487167, 15443505750756/110638410169, -10724201065328/110638410169, 6283301020562/110638410169, -2927948464404/110638410169, 907905209328/110638410169, 0, -231289716582/110638410169, 182240138256/110638410169, -6381475166/8095493427, 295374464/1156499061, -7085771/134476635, 717134/134476635], [-7368375412448/1659576152535, 2442636638303/282481047240, -10675590510643/663830461014, 37017178439531/1327660922028, -160625526197/3627488858, 56421561723211/885107281352, -9150895588294/110638410169, 10665508671935/110638410169, -11134080903058/110638410169, 41483960191599/442553640676, -161653174171/2087517173, 12431685824291/221276820338, -10500476258/298216739, 1170148623507/63221948668, -16014902139/2087517173, 231289716582/110638410169, 0, -343079728827/885107281352, 4012638443/16190986854, -2930846875/32381973708, 37565693/1882672890, -15868523/7530691560], [24026756730383/13276609220280, -5857829563714/1659576152535, 1249158366859/189665846004, -7620437997083/663830461014, 16254457066213/885107281352, -843339448535/31610974334, 553104114839/15805487167, -4571011036210/110638410169, 46930179685/1071558452, -656913903610/15805487167, 7777900091669/221276820338, -2910020164343/110638410169, 7619168380235/442553640676, -1070680330905/110638410169, 500457840420/110638410169, -182240138256/110638410169, 343079728827/885107281352, 0, -1590516125/32381973708, 387947923/16190986854, -44829829/7530691560, 1264549/1882672890], [-48318024829/80954934270, 62904384929/53969956180, -17654895224/8095493427, 61824782461/16190986854, -14217564701/2312998122, 291418564211/32381973708, -96451686064/8095493427, 115111107710/8095493427, -123581178445/8095493427, 238115584615/16190986854, -50744072/4005687, 11219377529/1156499061, -53004145840/8095493427, 62214869935/16190986854, -15544216270/8095493427, 6381475166/8095493427, -4012638443/16190986854, 1590516125/32381973708, 0, -62353621/16190986854, 2405777/1882672890, -203907/1255115260], [8084922807/53969956180, -23707143557/80954934270, 1270379621/2312998122, -7815717032/8095493427, 50597622421/32381973708, -37289144887/16190986854, 24880755586/8095493427, -29969702696/8095493427, 65040738209/16190986854, -31722869669/8095493427, 3961869991/1156499061, -21625503992/8095493427, 29865914069/16190986854, -9034003319/8095493427, 4712172058/8095493427, -295374464/1156499061, 2930846875/32381973708, -387947923/16190986854, 62353621/16190986854, 0, -28083/179302180, 16687/627557630], [-814217/31909710, 375965407/7530691560, -25234841/268953270, 207707411/1255115260, -253312294/941336445, 3004517899/7530691560, -504666046/941336445, 11561479/17761065, -671010349/941336445, 2645872367/3765345780, -83628943/134476635, 926373139/1882672890, -325602904/941336445, 805974257/3765345780, -108314866/941336445, 7085771/134476635, -37565693/1882672890, 44829829/7530691560, -2405777/1882672890, 28083/179302180, 0, -16687/7530691560], [3342397/1506138312, -8180779/1882672890, 10268037/1255115260, -446671/30863490, 177957173/7530691560, -4735826/134476635, 44818069/941336445, -54798038/941336445, 241936129/3765345780, -60162677/941336445, 107594213/1882672890, -43081973/941336445, 122894959/3765345780, -19351442/941336445, 1519837/134476635, -717134/134476635, 15868523/7530691560, -1264549/1882672890, 203907/1255115260, -16687/627557630, 16687/7530691560, 0]]