Homology of semigroups with 8 elements - sweeneyde/monoid_homology GitHub Wiki

Description

Below, all semigroups of order 8 are sorted by their first several homology groups [H1, H2, H3, ...].

Under each heading is a comma-separated list of integers: the ids of the semigroup in the smallsemi GAP package.

Up to isomorphism and anti-isomorphism, there are 1_843_120_128 semigroups of Order 8.

Of these, 1_841_546_661 (99.91%) have a left- or right-zero element, and thus have trivial homology.

Of the remaining 1_573_467 semigroups, 1_534_631 (97.5%) have first two homology groups [C2, 0, C2].

Data

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0] with zero element (1841546661 semigroups) (Too many to list)
[C2, 0, C2] (1534631 semigroups) (Too many to list)
[C3, 0, C3] (23578 semigroups)
1738873,1738874,1738875,1738876,1738877,1738878,1738879,1738880,1738881,1738882,1738883,1738884,1738885,1738886,1738887,1738888,1738889,1738890,1738891,1738892,1738893,1738894,1738895,1738896,1738897,1738898,1738899,1738900,1738901,1738902,1738903,1738904,1738905,1738906,1738907,1738908,1738909,1738910,1738911,1738912,1738913,1738914,1738915,1738916,1738917,1738918,1738919,1738920,1738921,1738922,1738923,1738924,1738925,1738926,1738927,1738928,1738929,1738930,1738931,1738932,1738933,1738934,1738935,1738936,1738937,1738938,1738939,1738940,1738941,1738942,1738943,1738944,1738945,1738946,1738947,1738948,1738949,1738950,1738951,1738952,1738953,1738954,1738955,1738956,1738957,1738958,1738959,1738960,1738961,1738962,1738963,1738964,1738965,1738966,1738967,1738968,1738969,1738970,1738971,1738972,1738973,1738974,1738975,1738976,1738977,1738978,1738979,1738980,1738981,1738982,1738983,1738984,1738985,1738986,1738987,1738988,1738989,1738990,1738991,1738992,1738993,1738994,1738995,1738996,1738997,1738998,1738999,1739000,1739001,1739002,1739003,1739004,1739005,1739006,1739007,1739008,1739009,1739010,1739011,1739012,1739013,1739014,1739015,1739016,1739017,1739018,1739019,1739020,1739021,1739022,1739023,1739024,1739025,1739026,1739027,1739028,1739029,1739030,1739031,1739032,1739033,1739034,1739035,1739036,1739037,1739038,1739039,1739040,1739041,1739042,1739043,1739044,1739045,1739046,1739047,1739048,1739049,1739050,1739051,1739052,1739053,1739054,1739055,1739056,1739057,4348964,4348965,4348966,4348967,4348968,4348969,4348970,4348971,4348972,4348973,4348974,4348975,4348976,4348977,4348978,4348979,4348980,4348981,4348982,4348983,4348984,4348985,4348986,4348987,4348988,4348989,4348990,4348991,4348992,4348993,4348994,4348995,4348996,4348997,4348998,4348999,4349000,4349001,4349002,4349003,4349004,4349005,4349006,4349007,4349008,4349009,4349010,4349011,4349012,4349013,4349014,4349015,4349016,4349017,4349018,4349019,4349020,4349021,4349022,4349023,4349024,4349025,4349026,4349027,4349028,4349029,4349030,4349031,4349032,4349033,4349034,4349035,4349036,4349037,4349038,4349039,4349040,4349041,4349042,4349043,4349044,4349045,4349046,4349047,4349048,4349049,4349050,4349051,4349052,4349053,4349054,4349055,4349056,4349057,4349058,4349059,4349060,4349061,4349062,4349063,4349064,4349065,4349066,4349067,4349068,4349069,4349070,4349071,4349072,4349073,4349074,4349075,4349076,4349077,4349078,4349079,4349080,4349081,4349082,4349083,4349084,4349085,4349086,4349087,4349088,4349089,4349090,4349091,4349092,4349093,4349094,4349095,4349096,4349097,4349098,4349099,4349100,4349101,4349102,4349103,4349104,4349105,4349106,4349107,4349108,4349109,4349110,4349111,4349112,4349113,4349114,4349115,4349116,4349117,4349118,4349119,4349120,4349121,4349122,4349123,4349124,4349125,4349126,4349127,4349128,4349129,4349130,4349131,4349132,4349133,4349134,4349135,4349136,4349137,4349138,4349139,4349140,4349141,4349142,4349143,4349144,4349145,4349146,4349147,4349148,4349149,4349150,4349151,4349152,4349153,4349154,4349155,4349156,4349157,4349158,4349159,4349160,4349161,4349162,4349163,4349164,4349165,4349166,4349167,4349168,4349169,4349170,4349171,4349172,4349173,4349174,4349175,4349176,4349177,4349178,4349179,4349180,4349181,4349182,4349183,4349184,4349185,4349186,4349187,4349188,4349189,4349190,4349191,4349192,4349193,4349194,4349195,4349196,4349197,4349198,4349199,4349200,4349201,4349202,4349203,4349204,4349205,4349206,4349207,4349208,4349209,4349210,4349211,4349212,4349213,4349214,4349215,4349216,4349217,4349218,4349219,4349220,4349221,4349222,4349223,4349224,4349225,4349226,4349227,4349228,4349229,4349230,4349231,4349232,4349233,4349234,4349235,4349236,4349237,4349238,4349239,4349240,4349241,4349242,4349243,4349244,4349245,4349246,4349247,4349248,4349249,4349250,4349251,4349252,4349253,4349254,4349255,4349256,4349257,4349258,4349259,4349260,4349261,4349262,4349263,4349264,4349265,4349266,4349267,4349268,4349269,4349270,4349271,4349272,4349273,4349274,4349275,4349276,4349277,4349278,4349279,4349280,4349281,4349282,4349283,4349284,4349285,4349286,4349287,4349288,4349289,4349290,4349291,4349292,4349293,4349294,4349295,4349296,4349297,4349298,4349299,4349300,4349301,4349302,4349303,4349304,4349305,4349306,4349307,4349308,4349309,4349310,4349311,4349312,4349313,4349314,4349315,4349316,4349317,4349318,4349319,4349320,4349321,4349322,4349323,4349324,4349325,4349326,4349327,4349328,4349329,4349330,4349331,4349332,4349333,4349334,4349335,4349336,4349337,4349338,4349339,4349340,4349341,4349342,4349343,4349344,4349345,4349346,4349347,4349348,4349349,4349350,4349351,4349352,4349353,4349354,4349355,4349356,4349357,4349358,4349359,4349360,4349361,4349362,4349363,4349364,4349365,4349366,4349367,4349368,4349369,4349370,4349371,4349372,4349373,4349374,4349375,4349376,4349377,4349378,4349379,4349380,4349381,4349382,4349383,4349384,4349385,4349386,4349387,4349388,4349389,4349390,4349391,4349392,4349393,4349394,4349395,4349396,4349397,4349398,4349399,4349400,4349401,4349402,4349403,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[0, 0, 0, 0] (5493 semigroups)
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[C4, 0, C4, 0] (2573 semigroups)
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[0, Z, 0, 0] (2353 semigroups)
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76,11269328,11269336,11269337,11269339,11269349,11269351,11269352,11269354,11269373,11269375,11269376,11269377,11269379,11269397,11269398,11269591,11269594,11269597,11269652,11283492,11283493,11283494,11283544,11283553,11283554,11283640,11283641,11283642,11283713,11283714,11283715,11283716,11284804,11284805,11284806,11284807,11284872,11284881,11284882,11284992,11284993,11284994,11284995,11284996,11285273,11285318,11285393,11285394,11289043,11289044,11289045,11289186,11289187,11289190,11289191,11289192,11289193,11289385,11289528,11289529,11289530,11289531,11289539,11295464,11295480,11295511,11295624,11295645,11295685,11295717,11295748,11295825,11295841,11295858,11295950,11295964,11295985,11296000,11296047,11296062,11296093,11296166,11296197,11296219,11296274,11296295,11296310,11296370,11296468,11296559,11296597,11296688,11296701,11296731,11296774,11296804,11296849,11296880,11296924,11296945,11296984,11297005,11297044,11297065,11297125,11297185,11297224,11297300,11297308,11297314,11297328,11297521,11297548,11297564,11301435,11301477,11301561,11301634,11301676,11301722,11301806,11301932,11302020,11302066,11302112,11302196,11302323,11302431,11302494,11302520,11302546,11302572,11302614,11302699,11302836,11302970,11303097,11303226,11303341,11303393,11303435,11311635,11311775,11311785,11311857,11311971,11311995,11312005,11312010,11312078,11312109,11312120,11312129,11312131,11312222,11312263,11312273,11312348,11312352,11312486,11312523,11312534,11312539,11312541,11312659,11312764,11313236,11313259,11313270,11313279,11313362,11313619,11315968,11316060,11316269,11316760,11317060,11317248,11317454,11317716,11318000,11318670,11318858,11319066,11319068,11319280,11319290,11319644,11319662,11319945,11319947,11322823,11322874,11322960,11322965,11322981,11323005,11324140,11324142,11324188,11324674,11325408,11325423,11325431,11326020,11326573,11326582,11326673,11326705,11327337,11327358,11327367,11327513,11327828,11327847,11327962,11328020,11328888,11328890,11328892,11328894,11328897,11328899,11328901,11328904,11328905,11328906,11334058,11334088,11334113,11334144,11334163,11334220,11334239,11336760,11336783,11336794,11336813,11336900,11336940,11336953,11337031,11337150,11337174,11337184,11337201,11337887,11338086,11338821,11341596,11341618,11341629,11341664,11341669,11341673,11341677,11341755,11341760,11341776,11341800,11341838,11341843,11341848,11341852,11341904,11341905,11341908,11341909,11341910,11343095,11343101,11343103,11343105,11343645,11343689,11343708,11344015,11345279,11345283,11345286,11345289,11345296,11345299,11346012,11346013,11346014,11346015,11347007,11347710,11347774,11349156,11349172,11349183,11349184,11349190,11349269,11349310,11354140,11354259,11354264,11422093,11422095,11422097,11422100,11422104,11422107,11422110,11422115,11422117,11422121,11422125,11422128,11422130,11422134,11422137,11422140,11422144,11422147,11422149,11422151,11422155,11422158,11422164,11422168,11422172,11422176,11422180,11422184,11422188,11422192,11422196,11422200,11422205,11422209,11422216,11422221,11422224,11422227,11422233,11422237,11422240,11422243,11422246,11422250,11422263,11422265,11422267,11422269,11422272,11422274,11422279,11422283,11422287,11422292,11422296,11422302,11422306,11422310,11422314,11422317,11422321,11422326,11422330,11422334,11422339,11422343,11422347,11422350,11422354,11422358,11422362,11422367,11422371,11422375,11422379,11422382,11422386,11422390,11422393,11422396,11422398,11422399,11422402,11422405,11422408,11422412,11422416,11422421,11422425,11422428,11422430,11422433,11422435,11422440,11422444,11422449,11422453,11422456,11422459,11422463,11422468,11422472,11422475,11422480,11422487,11422490,11422501,11422503,11422505,11422508,11422510,11422512,11422514,11422516,11422520,11422523,11422528,11422529,11422533,11422537,11422544,11422548,11422550,11422553,11422557,11422560,11422565,11422570,11422574,11422577,11422582,11422585,11422589,11422593,11422597,11422599,11422600,11422601,11422602,11422603,11422604,11422605,11422609,11422612,11422617,11422619,11422622,11422623,11422624,11422625,11422628,11422631,11422633,11422635,11422639,11422643,11422646,11422649,11422651,11422654,11422657,11422660,11422663,11422668,11422672,11422679,11422684,11422687,11422690,11422696,11422700,11422703,11422707,11422710,11422713,11422716,11422719,11422722,11422726,11422729,11422731,11422733,11422736,11422740,11422744,11422748,11422752,11422755,11422758,11422762,11422766,11422769,11422774,11422777,11422780,11422783,11422786,11422789,11422793,11422797,11422801,11422806,11422810,11422817,11422821,11422825,11422829,11422832,11422835,11422844,11422848,11422856,11422861,11422864,11422868,11422872,11422876,11422879,11422882,11422885,11422888,11422891,11422893,11422895,11422897,11422899,11422902,11422904,11422910,11422914,11422917,11422920,11422924,11422927,11422930,11422933,11422935,11422937,11422939,11422967,11422969,11422978,11422979,11422980,11422981,11422982,11422983,11422984,11422985,11422986,11422987,11422988,11422989,11422990,11422991,11422992,11422993,11422994,11422995,11422996,11422997,11422998,11422999,11423000,11423001,11423002,11423004,11423006,11423008,11423009,11423011,11423017,11423022,11423026,11423030,11423033,11423035,11423038,11423047,11423048,11423050,11423052,11423053,11423055,11423056,11423057,11423060,11423061,11423062,11423064,11423068,11423070,11423072,11423076,11423084,11423086,11423093,11423095,11423100,11423105,11423108,11423111,11423112,11423114,11423117,11423120,11423124,11423127,11423130,11423132,11423133,11423135,11423136,11423137,11423138,11423139,11423141,11423143,11423146,11423152,11423153,11423155,11423156,11423168,11423169,11423171,11423173,11423174,11423176,11423178,11423180,11423181,11423182,11423183,11423186,11423187,11423188,11423189,11423191,11423192,11423193,11423194,11423195,11423197,11423199,11423200,11423202,11423204,11423205,11423207,11423216,11423217,11423218,11423219,11423220,11423222,11423223,11423226,11423227,11423229,11423230,11423231,11423232,11423233,11423235,11423236,11425127,11425132,11425135,11425136,11425141,11425144,11425146,11425148
[C2 x C2, C2, C2 x C2 x C2, C2 x C2] (1596 semigroups)
14686,14687,14688,14689,14690,14691,14692,14693,14694,14695,14696,14697,14698,14699,15730,15731,15732,22977,22978,22979,22980,22981,22982,22983,22984,22985,22986,22987,28214,28215,28216,28217,28218,28219,28220,28221,28222,28223,28224,28225,28226,28227,28228,28229,28230,28231,28232,28233,28234,28235,28236,28237,28238,28239,28240,28241,28243,28244,28245,28246,28247,28248,28249,28250,28251,28252,28253,28254,28255,193818,193819,193820,193821,193822,193823,193824,193825,193826,193827,193828,193829,193830,193831,193832,193833,193834,193835,193836,193837,193838,193839,193840,193841,193842,193843,193844,193845,193846,193847,193848,193849,193850,241935,241936,241937,241938,241939,241940,241941,241942,241943,241944,241945,241946,241947,241948,241949,241950,266087,266088,266089,266090,266091,266092,266093,266094,266095,266096,266097,266098,266099,266100,266101,266102,266103,266104,266105,266106,266107,266108,266109,266110,266111,266112,266113,266114,266115,266116,266117,266118,266119,266120,266121,266122,266123,266124,266125,266126,266127,348484,348485,348486,348487,348488,348489,348490,348491,348492,348493,348494,348495,348496,348497,348498,348499,348500,348501,348502,348503,348504,348505,348506,348507,348508,348509,348510,348511,348512,348513,348514,348515,348516,348517,348518,348519,348520,348521,348522,348523,348524,348525,350804,350805,350806,350807,350808,350809,350810,350811,350812,350813,350814,350815,350816,350817,350818,350819,350820,350821,350822,350823,350824,350825,350826,350827,350828,350829,350830,350831,350832,350833,350834,350835,350836,350837,350838,353206,353207,353208,353209,353210,353211,353212,353213,353214,353215,353216,353217,353218,353219,353220,353221,353222,353223,353224,353225,353226,353227,353228,353229,353230,353231,353232,353233,353234,353235,353236,353237,353238,353239,353240,353241,353242,353243,353244,353245,353246,353247,353248,353249,353250,353251,353252,353253,353254,353255,353256,353257,353258,353259,353260,353266,353267,353268,353269,353270,353271,353272,353273,353274,353275,353276,353277,353278,353279,353280,353281,353282,353283,353284,353285,353286,353287,353288,353289,353585,353586,353587,353588,353589,353590,353591,353592,353593,353594,353595,353596,353597,353598,353599,353600,353601,353602,353603,353604,353605,353606,353607,353608,353609,353610,353611,353612,353613,353614,353615,353617,353618,353619,353620,353621,353622,353623,353624,353625,353626,353627,353628,353629,353630,353631,353632,353633,353634,353635,353636,353637,353638,353639,353640,353641,353642,353643,353644,353645,353646,353647,353648,353649,353650,353651,353653,353654,353655,353656,353657,353658,353659,353660,353661,353662,353663,353664,353665,353666,353667,353668,353669,353670,353671,353672,353673,582461,582462,582463,582464,582465,582466,582467,582468,582469,582470,582471,582472,582473,582474,582475,582476,582477,582478,582479,582480,582481,582482,582483,582484,582485,582486,582487,582488,582489,582490,582491,582492,582493,582494,582495,582496,582497,582498,630884,630885,630886,630887,630888,630889,630890,630891,630892,630893,630894,630895,630896,630897,630898,630899,630900,630901,630902,630903,630904,630905,630906,630907,630908,630909,630910,630911,630912,630913,630914,630915,630916,630917,630918,630919,630920,630921,630922,630923,630924,630925,630926,1169148,1169149,1169150,1169151,1169152,1169153,1169154,1169155,1169156,1169157,1169158,1169159,1169160,1169161,1170473,1170500,1578546,1578547,1578548,1578549,1578550,1578551,1578552,1578553,1578554,1578555,1578556,1578557,1578558,1578559,1578560,1578561,1578562,1578563,1578568,1578569,1578570,1578571,1578572,1578573,1578574,1578575,1581257,1581258,1581259,1581260,1581261,1581262,1581264,1581265,1581266,1581267,1581268,1581269,1581270,1581271,1581272,1581273,1581274,1581275,1581276,1581277,1581278,1581279,1581284,1581285,1581286,1581287,1581288,1581289,1646354,1646355,1646356,1646357,1646358,1646359,1646360,1646361,1646362,1646363,1646364,1646365,1646366,1646367,1646368,1646369,1646370,1646371,1646372,1646373,1646374,1646375,1646376,1646377,1646378,1646379,1646380,1647499,1647500,1647501,1647502,1647503,1647504,1647505,1647506,1647507,1647508,1647509,1647510,1647511,1647512,1647513,1647514,1647515,1647516,1647517,1647518,1647519,1647520,1647521,1647522,1647965,1647966,1647967,1647968,1647969,1647970,1647971,1647972,1647973,1647974,1647975,1647976,1647977,1647978,1647979,1647980,1647981,1647982,1647983,1647984,1647985,1647986,1647987,1647988,1647989,1647990,1647991,1647992,1647999,1648000,1648001,1648002,1648003,1648004,1648005,1648006,1648007,1648008,1648009,1648010,1648011,1648012,1648013,1648014,1648015,1648016,1728914,1728915,1728916,1728917,1728918,1728919,1728920,1728921,1728922,1728923,1728924,1728925,1728926,1728927,1728928,1728929,1728930,1728931,1728932,1728933,1728934,1728935,1728936,1728937,1728938,1728939,1728940,1728941,1728942,1728943,1728944,1728945,1728946,1728947,1728948,1728949,1728950,1728951,1728952,1728953,1728954,1728955,1728956,1728957,1728958,1728959,1728960,1728961,1728962,1728963,1728964,1728965,1728966,1728967,1728968,1728969,1728970,1728971,1728972,1728973,1728974,1728975,1728976,1728977,1728978,1728979,1728980,1728981,1728982,1728983,1728984,1728985,1728986,1728987,1728988,1728989,1728990,1728991,1728992,1728993,1728994,1728995,1728996,1728997,1728998,1728999,1729000,1729001,1729002,1729003,1729004,1729005,1729006,1735508,1735509,1735510,1735511,1735512,1735513,1735514,1735515,1735516,1735517,1735518,1735519,1735520,1735521,1735522,1735523,1735524,1735525,1735526,1735527,1735528,1735529,1735530,1735531,1735532,1735533,1735534,1735535,1735536,1735537,1735538,1735539,1735540,1735541,1735542,1735543,1735544,1735545,1735546,1735547,1735548,1735549,1735550,1735551,1735552,1735553,1735554,1735555,1735556,1735557,1735558,1735559,1735560,1735561,1735562,1735563,1735564,1735565,1735566,1735567,1735568,1735569,1735570,1735571,1735572,1735573,1735574,1735575,1735576,1735577,1735578,1735579,1735580,1735581,1735582,1735583,1735584,1735585,1735586,1735587,1735588,1735589,1735590,1735591,1735592,1735593,1735594,1735595,1735596,1735597,1735598,1735599,1738706,1738707,1738708,1738709,1738710,1738711,1738712,1738713,1738714,1738715,1738716,1738717,1738718,1738719,1738720,1738721,1738722,1738723,1738724,1738725,1738726,1738727,1738728,1738729,1738730,1738731,1738732,1738733,1738734,1738735,1738736,1738737,1738738,1738739,1738740,1738741,1738742,1738743,1738744,1738745,1738746,1738747,1738748,1738749,1738750,1738751,1738752,1738753,1738754,1738755,1738756,1738757,1738758,1738759,1738760,1738761,1738762,1738763,1738764,1738765,1738766,1738767,1738768,1738769,1738770,1738771,1738772,1738773,1738774,1738775,1738776,1738777,1738778,1738779,1738780,1738781,1738782,1738783,1738784,1738785,1738786,1738787,1738788,1738789,1738806,1738807,1738808,1738809,1738810,1738811,1738812,1738813,1738814,1738815,1738816,1738817,1738818,1738819,1738820,1738821,1738822,1738823,1738824,1738825,1738826,1738827,1738828,1738829,1738830,1738831,1738832,1738833,1738834,1738835,1738836,1738837,1738838,1738839,1738840,1738841,1738842,1738843,1738844,1738845,1738846,1738847,1738848,1738849,1738850,1738851,1738852,1738853,1738854,1738855,1738856,1738857,1738858,1738859,1941781,1941782,1941783,1941784,1941785,1941786,1941787,1941788,1941789,1941790,1941791,1941792,1941793,1941794,1941795,1941796,1941797,1941798,1941799,1941800,1941801,1941802,1941803,1941804,1941805,1941806,1941807,1941808,1941809,1941810,1941811,1941812,1941813,1941814,1941815,1941816,1941817,3356906,3356907,3356908,3356909,3356910,3356911,3356912,3356913,3356917,3356918,3356920,3356921,3356922,3356923,3356924,3356925,3356926,3356927,3356931,3356932,4277853,4277854,4277855,4277856,4277857,4277858,4277859,4277865,4277866,4277867,4277868,4277869,4277870,4348935,4348936,4348937,4348938,4348939,4348940,4348941,4348949,4348950,4348951,4348952,4348953,4348954,4348955,4372193,4372194,4372195,4372196,4372197,4372198,4372199,4372200,4372201,4372202,4372203,4372552,4372553,4372554,4372555,4372556,4372557,4372558,4372559,4372560,4372561,4372562,4372563,4372564,4375303,4375304,4375305,4375383,4375384,4375385,4450443,4450444,4450445,4450446,4450447,4450448,4450449,4450450,4450451,4450452,4450453,4450454,4450455,4450456,4450457,4450458,4450459,4450460,4450461,4450462,4450463,4450464,4450465,4450466,4450467,4450468,4450469,4450470,4450471,4450472,4450473,4450474,4450475,4450476,4450477,4450478,4450479,4450480,4450481,4450482,4450483,4450484,4450485,4450486,4450487,4450488,4450489,4450490,4450491,4450492,4450493,4450494,4450495,4450496,4450497,4450498,4450499,4450500,4450501,4450508,4450509,4450510,4450511,4450512,4450513,4454301,4454302,4454303,4454304,4454305,4454306,4454307,4454308,4454309,4454310,4454311,4454312,4454313,4454314,4454315,4454316,4454317,4454318,4454319,4454320,4454321,4454322,4454323,4454324,4454325,4454326,4454327,4454328,4454329,4454330,4454331,4454332,4454333,4454334,4454335,4454336,4454337,4454338,4454339,4454340,4454341,4454342,4454343,4454344,4454345,4454346,4454347,4454348,4454349,4454350,4454351,4454352,4454353,4454354,4454355,4454362,4454363,4454364,4454365,4454366,4454367,4454369,4454370,4454371,4454372,4454373,4454374,4626930,4626931,4626932,4626933,4626934,4626935,4626936,4626937,4626938,4626939,4626940,4626941,4626942,4626943,4626944,4626945,4626946,4626947,4626948,4626949,4626950,4626951,4626952,4626953,4626954,4626955,4626956,4626957,4626958,4626959,4626960,4626961,4626962,4626963,4626964,4626965,4626966,4626967,4626968,4626969,4626970,4626971,4626972,4626973,4626974,4626975,4626976,4626977,4626978,4626979,4626980,4626981,4626982,4626983,4626984,4626985,4626986,4626987,4626988,4626989,4626990,4626991,4626992,4626993,4626994,4626995,4626996,4626997,4626998,4626999,4627000,4627001,4627002,4627003,4627004,4627005,4627006,4627007,4627008,4627009,4627010,4627011,4627012,4627013,4627014,4627015,4634323,4634324,4634325,4634326,4634327,4634328,4634329,4634330,4634331,4634332,4634333,4634334,4634335,4634336,4634337,4634338,4634339,4634340,4634341,4634342,4634343,4634344,4634345,4634346,4634347,4634348,4634349,4634350,4634351,4634352,4634353,4634354,4634355,4634356,4634357,4634358,4634359,4634360,4634361,4634362,4634363,4634364,4634365,4634366,4634367,4634368,4634369,4634370,4634371,4634372,4634373,4634374,4634375,4634376,4634377,4634378,4634379,4634380,4634381,4634382,4634383,4634384,4634385,4634386,4634387,4634388,4634389,4634390,4634391,4634392,4634393,4634394,4634395,4634396,4634397,4634398,4634399,4634400,4635123,4635124,4635125,4635167,4635168,4635169,7311419,7311423,7311427,7311569,7311572,7311666,7311668,7311707,7311708,7311709,7311710,7311711,7311712,7320461,7320462,7320463,7320464,7320465,7320466,7320467,7320468,7360047,7360048,7360049,7360050,7360051,7360052,7360053,7360054,7360055,7360056,7360057,7360058,7360059,7360060,7360061,7360062,7360063,7360064,7360065,7360066,7360067,7360068,7360069,7360073,7360074,7360075,7360076,7360078,7360079,7360080,7360081,7364728,7364729,7364730,7364731,7364732,7370236,7370237,7370238,7370239,7370240,7387998,7387999,7388000,7388001,7388002,7388003,7388004,7388005,7388006,7388007,7388008,7388009,7388010,7388011,7388012,7388013,7388014,7388015,7388032,7388033,7388034,7388035,7620046,7620047,7620048,7620049,7620050,7620051,7620052,7620053,7620054,7620055,7620056,7620057,7620058,7620059,7620060,7620061,7620062,7620063,7620064,7620065,7620066,7620067,7620068,7620069,7620070,7620071,7620072,7620073,7620074,7620075,7620076,7620077,7620078,7620079,7620080,7620081,7620082,7620083,7620084,7620085,7620086,7620087,7620088,7620089,7620090,7620091,7620092,7620093,7620094,7620095,7620096,7620097,7620098,7620099,7620100,7620101,7620102,7620103,7620104,7620105,7620106,7620107,7620108,7620132,7620133,7620134,7620135,7620136,7620137,7620138,7620139,7620920,7894553,7894554,7894555,7894556,7894557,7894558,7894559,7894560,7894561,7894562,7894563,7894564,7894565,7894566,7894567,7894568,7894569,7894570,7894571,7894572,7894573,7894574,7894575,7894576,7894577,7894578,7894579,7894580,7894581,7894582,7894583,7894584,7894585,7894586,7894587,7894588,7894589,7894590,7894591,7894592,7894593,7894594,7894595,7894596,7894597,7894598,7894599,7897269,7897270,7897271,7897582
[0, Z, Z, Z] (937 semigroups)
7850615,7850703,7851200,7851207,7851211,7851219,7851223,7851235,7851523,7851555,7851665,7852028,7852030,7852034,7852043,7852047,7852053,7852461,7852485,7853444,7853446,7853450,7853452,7853456,7853462,7853858,7853878,7854774,7854866,9012788,9102367,9102399,9102541,9102544,9102546,9102605,9102608,9102610,9102704,9102817,9102897,9102900,9102906,9102948,9102951,9102957,9103060,9103388,9103418,9103448,9104751,9105811,9106522,9107046,9725043,9725185,9725229,9725554,9725557,9725587,9725596,9725605,9725614,9726233,9726236,9726250,9726253,9726257,9726260,9726271,9726278,9726280,9726283,9726287,9726313,9726316,9726319,9726412,9726490,9726493,9726543,9726685,9726697,9726816,9726852,9726909,9727626,9727629,9727631,9727635,9727638,9727649,9727656,9727658,9727661,9727665,9727682,9727685,9727688,9728228,9728237,9728241,9728246,9728250,9728255,9728264,9728277,9728286,9728298,9728363,9728378,9728417,9728432,9728466,9728911,9728919,9728950,9728980,9729031,9729225,9729335,9733035,9733036,9733145,9733146,9808248,9808886,9808889,9808892,9808895,9808908,9809215,9809216,9809221,9809222,9809239,9809556,9809557,9809559,9809560,9809574,9809778,9809779,9832449,9835716,9835734,9856993,9860224,9860242,10134439,10134479,10134752,10134760,10135261,10135302,10135337,10135340,10135575,10135604,10135642,10136232,10136236,10136251,10136254,10136442,10136446,10136461,10136936,10136951,10137001,10137016,10137062,10137392,10137438,10138034,10138042,10138047,10138063,10138066,10138075,10138083,10138086,10139054,10139071,10139075,10139091,10139093,10139097,10139153,10139159,10139165,10139169,10139756,10139760,10139768,10139771,10139891,10139895,10139903,10140208,10140215,10140237,10140244,10140270,10140844,10140852,10140857,10140865,10140868,10140877,10140881,10140884,10141600,10141660,10141708,10142068,10142711,10142719,10142739,10142743,10143347,10143356,10143401,10143957,10143961,10143985,10143996,10144000,10144769,10144779,10144782,10145371,10145384,10145388,10145404,10145406,10145410,10145433,10145439,10145445,10145449,10145788,10145792,10145804,10145815,10146617,10154628,10154884,10155341,10155343,10156597,10156607,10156610,10156644,10156647,10156652,10156653,10156660,10158164,10158174,10158177,10158193,10158196,10158201,10158202,10158207,10169779,10169824,10169967,10169993,10170077,10170115,10170141,10170186,10181989,10182163,10183112,10183144,10183159,10183443,10192244,10192404,10193366,10193398,10193413,10193700,10303110,10303113,10303119,10328805,10328901,10328904,10328909,10328916,10328918,10328921,10328936,10329132,10329136,10329139,10329148,10329182,10329199,10329695,10329696,10335689,10338374,10338392,10339078,10339334,10339340,10339380,10339381,10339385,10339501,10339502,10339504,10345529,10345560,10345594,10345601,10345604,10345758,10345762,10345766,10345769,10345822,10345849,10345967,10345971,10346073,10346075,10346500,10346686,10346688,10346695,10346731,10346879,10346882,10347647,10347648,10347649,10348072,10348117,10348128,10348167,10348943,10348975,10348980,10349202,10506514,10506535,10506726,10506732,10506744,10506827,10506833,10507148,10507151,10507167,10507172,10507178,10507842,10507844,10507854,10507855,10507875,10507877,10507883,10507885,10507895,10507909,10507914,10507915,10507935,10507942,10507948,10507949,10507950,10507951,10507964,10507965,10507966,10507970,10507971,10507975,10507978,10507995,10507996,10510438,10510696,10510818,10510950,10511314,10937265,10937299,10937528,10937539,10937660,10937664,10937680,10938760,10938830,10938916,10938971,10939278,10939313,10939385,10939457,10939520,10939524,10939527,10941846,10941850,10941865,10941869,10941890,10941894,10941974,10941985,10941988,10941994,10942008,10942029,10942038,10942050,10942053,10942057,10942061,10942070,10942082,10942150,10942170,10942209,10942218,10942230,10942233,10942237,10942246,10942254,10942257,10942261,10942265,10942281,10942285,10942301,10942313,10942357,10942361,10942384,10942418,10942421,10942425,10942428,10942476,10942482,10942492,10942496,10942499,10942506,10942510,10942513,10942636,10942648,10942656,10942659,10942663,10942725,10942729,10942793,10942832,10942848,10942870,10942932,10942936,10942939,10942999,10943003,10943006,10943162,10943166,10943174,10944262,10944349,10944581,10944589,10944627,10944635,10944689,10944758,10946473,10946485,10946513,10946525,10946589,10946609,10946629,10946661,10946715,10946719,10946751,10946755,10946793,10946797,10946826,10946830,10946851,10946855,10946879,10946890,10946894,10946910,10947010,10947014,10947017,10947030,10947034,10947079,10947087,10947092,10947095,10947122,10947172,10948207,10948210,10948214,10948366,10948829,10948861,10948904,10948908,10948923,10948977,10949022,10949097,10949450,10949458,10949462,10949470,10949488,10949685,10950217,10950232,10950277,10950331,10950434,10950436,10950438,10950459,10950556,10950731,10950825,10950836,10950844,10950852,10950860,10950884,10959911,10960242,10961406,10961407,10961411,10961412,10961465,10961468,10961479,10961480,10961485,10961487,10961495,10961496,10961526,10961532,10961533,10961534,10961572,10961573,10961577,10961580,10961583,10961629,10961633,10961636,10961639,10961642,10961648,10961656,10961657,10961658,10961674,10961678,10961728,10961729,10961773,10961777,10963154,10963155,10963159,10963162,10963165,10963211,10963212,10963692,10963807,10963868,10964118,10964120,10964121,10964123,10969989,10969990,10969994,10969995,10970000,10970001,10970020,10970023,10970024,10970025,10970029,10971460,10971501,10971672,10971698,10978250,10979938,10979939,10979940,10979956,10979958,10980034,10980035,10980036,10980037,10980038,10980054,10980055,10980058,10980061,10980062,10980097,10980099,10980104,10980116,10980118,10980120,10980122,10980125,10980126,10980128,10981148,10981153,10981198,10981199,10981208,10981209,10981210,10981229,10981230,10981234,10981235,10981254,10981258,10981264,10981283,10981295,10981297,10981298,10981300,10981302,10981303,10981305,10981306,10981310,10981311,10981312,10981798,10981802,10981803,10981804,10983353,10983356,10983359,10983363,10983365,10983374,10983376,10983381,10983392,10983396,10984690,10984691,10984697,10984699,10984700,10984702,10984707,10987416,10987418,10987421,10987422,10987423,10990540,10990612,10990618,11228840,11228909,11228985,11228994,11229008,11229447,11229452,11229457,11229461,11229649,11230133,11230143,11230157,11230383,11230742,11230750,11230764,11230768,11230773,11230794,11230828,11230847,11230889,11230893,11234022,11234026,11234031,11234035,11234043,11234054,11234058,11234062,11234067,11234071,11234075,11234079,11234082,11234086,11234093,11234160,11234236,11234730,11234745,11234954,11235392,11235402,11235771,11235796,11235843,11236213,11236224,11236249,11236253,11236296,11240354,11240367,11240393,11240423,11240445,11240458,11240473,11240491,11240495,11240519,11240536,11240548,11241106,11241109,11241351,11241600,11241603,11244284,11244288,11244292,11244340,11244383,11244387,11244391,11246399,11246401,11246403,11246405,11246408,11246410,11256892,11257327,11257331,11257345,11257473,11257961,11257982,11258012,11258375,11259666,11261336,11261340,11261350,11261364,11261368,11261387,11261391,11261401,11261409,11261413,11261427,11261433,11262043,11262047,11262636,11262640,11266427,11266431,11266435,11266439,11266484,11266509,11266513,11266517,11266556,11266637,11266640,11269301,11269304,11269307,11269310,11269315,11281807,11281808,11281809,11285269,11285270,11285276,11285277,11285278,11285279,11285320,11285334,11285345,11285389,11285390,11285397,11289122,11289123,11289124,11289133,11289142,11289143,11289152,11289153,11289154,11295438,11295533,11295548,11295658,11295701,11295887,11296331,11296389,11296397,11296425,11296430,11296495,11296624,11297104,11297164,11297322,11297348,11297356,11297615,11297631,11306339,11306340,11306341,11306342,11306343,11306344,11306345,11306346,11306347,11306348,11311612,11311646,11311655,11311738,11312614,11312669,11312688,11312695,11312759,11312767,11312773,11312775,11313399,11313409,11313481,11313595,11313629,11313634,11315788,11316391,11316940,11322801,11322834,11322869,11322878,11322882,11323043,11323048,11323053,11323057,11323063,11323064,11323067,11323068,11323069,11324134,11324144,11324630,11324693,11324951,11326016,11326023,11326026,11326029,11326657,11326658,11326659,11354099,11354168,11354830,11355418,11426187
[0, 0, Z, 0, 0] (434 semigroups)
7851524,7851556,7851657,7851662,7854764,7854769,7854771,7854862,9102705,9102814,9725315,9726413,9726491,9726494,9726539,9726546,9728366,9728370,9728373,9728375,9728420,9728424,9728427,9728429,9728465,9730089,10135228,10135314,10135315,10135341,10135616,10135617,10135624,10135812,10136941,10136944,10136949,10137006,10137009,10137014,10137068,10137071,10137076,10137382,10137389,10137397,10137427,10137429,10137435,10137663,10137667,10137671,10137693,10137697,10137701,10137719,10137723,10139047,10139063,10139082,10139116,10139129,10140213,10140242,10140276,10140279,10140284,10140512,10140516,10140520,10140542,10140546,10140550,10140568,10140572,10142059,10142061,10143340,10143387,10143987,10143991,10144774,10144776,10145395,10145806,10145810,10146616,10146913,10182038,10192293,10507890,10507891,10507896,10507974,10507977,10938796,10938924,10939394,10939395,10939446,10939448,10939454,10940301,10941970,10941989,10942006,10942143,10942145,10942155,10942159,10942163,10942165,10942271,10942274,10942279,10942291,10942294,10942299,10942307,10942311,10942373,10942398,10942401,10942406,10942464,10942841,10944587,10944633,10944695,10944698,10944703,10944749,10944751,10946584,10946586,10946604,10946606,10946624,10946626,10946636,10946638,10946648,10946650,10946702,10946706,10946733,10946737,10946742,10946746,10946783,10946787,10946813,10946817,10946833,10946838,10946841,10946863,10946869,10946881,10946885,10946905,10947117,10947163,10948194,10948195,10948238,10949059,10950225,10950841,10950847,10950855,10961474,10961551,10961599,10963137,10963138,10963139,10963140,10979925,10979932,10979933,10980013,10980028,10980068,10981145,10981154,10981178,10981179,10981183,10981184,10981194,10981196,10981197,10981245,10981248,10981318,10983398,10994565,10994611,11228875,11228999,11229243,11229263,11229657,11229882,11229891,11229895,11229916,11230148,11230320,11230321,11230755,11230782,11230832,11230836,11230851,11230856,11231099,11231104,11231105,11231108,11231118,11231134,11232074,11232081,11232612,11232651,11232657,11232661,11232664,11232665,11232732,11232865,11232879,11232883,11232891,11232892,11232896,11232907,11232982,11232991,11233399,11233812,11234419,11234451,11234480,11234719,11234739,11235128,11235150,11235172,11235381,11235396,11235834,11236262,11236272,11236287,11236465,11236471,11236626,11237652,11238105,11238115,11238219,11238229,11238310,11238315,11238384,11238407,11238473,11238491,11238571,11238581,11238603,11238667,11238671,11238675,11238679,11238683,11238687,11238739,11238743,11238747,11238793,11238797,11239164,11239211,11239301,11239336,11240345,11240361,11240388,11240412,11240436,11240452,11240467,11240482,11240486,11240508,11240510,11240516,11240524,11240531,11240541,11240543,11240545,11242500,11242605,11242704,11242765,11242829,11242835,11242837,11242839,11242843,11244241,11244251,11244323,11244329,11244358,11244368,11246296,11246336,11246363,11246419,11246472,11257123,11257989,11259911,11259913,11259920,11259946,11260038,11261416,11264232,11264417,11264578,11264582,11266401,11266473,11266495,11266550,11269403,11283717,11283718,11283719,11283720,11295481,11295718,11295986,11296001,11296064,11296220,11296732,11296805,11296881,11296983,11297043,11297223,11297307,11301805,11301930,11302195,11302697,11302835,11302968,11303224,11303340,11312080,11312122,11312126,11312128,11312223,11312228,11316061,11328903,11334238,11341693,11341853,11346026,11422113,11422138,11422182,11422213,11422253,11422259,11422285,11422295,11422348,11422372,11422384,11422483,11422488,11422491,11422493,11422499,11422507,11422522,11422579,11422586,11422594,11422598,11422615,11422645,11422676,11422778,11422784,11422814,11422840,11422853,11422862,11422878,11422881,11422916,11422919,11422941,11422944,11422946,11422949,11422952,11422954,11422958,11422960,11422962,11422963,11422965,11422968,11422970,11422972,11422975,11423045,11423106,11423109,11423128
[0, Z, Z x Z, Z x Z x Z x Z, Z^8] (263 semigroups)
4593364,7301665,7301854,7302677,7302710,7850495,7850557,7850653,7851197,7851237,7852025,7852055,7852464,7852483,7853441,7853464,7853861,7853874,7872969,7885058,7894466,8992893,8993471,9011933,9011954,9011962,9076408,9076800,9083374,9102326,9102432,9103038,9104184,9105762,9191055,9233223,9724873,9724943,9725089,9725530,9725533,9725542,9725545,9725569,9725572,9725575,9725580,9725616,9725619,9725634,9726220,9726229,9726262,9726290,9726311,9726658,9726902,9727613,9727622,9727640,9727668,9727680,9728259,9728262,9728289,9728301,9728310,9728888,9729024,9729260,9733027,9733028,9733031,9733032,9733040,9733041,9733042,9796420,9807511,9807529,9808902,9808905,9808910,9809226,9809231,9809235,9809240,9809564,9809567,9809571,9809575,9809769,9809770,9810365,9810366,9810368,9832399,9832489,9837538,9856943,9857033,9862039,10134385,10134554,10134742,10134749,10134776,10136061,10136065,10136069,10136072,10141036,10141207,10142727,10142747,10146636,10146638,10154230,10155339,10155347,10155360,10159268,10159271,10166647,10166648,10166649,10169738,10169918,10169929,10170300,10172223,10172255,10172260,10172508,10302980,10303010,10303160,10303604,10304274,10306195,10306207,10306238,10313274,10328713,10328889,10328898,10328929,10329151,10329691,10329694,10335639,10335717,10339338,10339339,10339383,10339500,10339503,10339878,10356071,10506357,10506532,10506628,10506640,10506824,10506830,10507185,10507836,10507841,10507843,10507850,10507851,10507906,10507907,10507918,10507924,10507931,10507934,10507940,10507945,10507955,10507957,10507980,10507992,10507993,10507999,10508000,10510598,10510709,10510940,10510946,10511251,10511261,10937222,10937334,10937521,10937536,10937555,10937817,10941835,10941862,10941875,10941879,10941906,10941909,10942621,10942632,10942640,10942717,10942737,10942759,10942762,10943305,10946489,10946529,10947038,10948259,10948262,10948265,10959257,10961403,10961410,10961427,10961726,10961731,10961741,10963205,10963208,10969986,10969993,10969996,10969997,10970004,10970005,10971421,10971595,10971609,10980094,10980098,10980100,10980101,10980105,10980121,10980123,10980124,10981266,10981270,10981286,10981289,10981786,10981787,10983352,10983355,10983379,10983383,10983384,10984694,10987415,10987417,10987419,10987420,10990483,10990598,10990617
[0, 0, Z, Z, Z] (156 semigroups)
9102368,9102400,9102903,9102954,10134440,10134480,10134753,10134761,10135263,10135304,10135577,10135606,10136247,10136457,10138038,10138059,10138070,10139139,10139764,10139899,10140848,10140861,10140872,10141601,10141661,10141709,10142069,10142710,10142718,10142738,10142742,10143981,10145419,10145800,10154629,10154885,10156634,10158183,10169780,10169825,10170048,10170157,10303116,10328902,10328905,10328912,10329147,10336962,10339333,10345619,10345770,10346071,10348453,10937266,10937300,10937529,10937540,10937676,10939280,10939315,10939387,10939521,10939529,10941847,10941851,10941866,10941870,10941891,10941895,10941976,10941996,10942033,10942065,10942213,10942241,10942390,10942637,10942643,10942726,10942730,10943170,10944759,10946472,10946484,10946512,10946524,10946590,10946610,10946630,10946662,10946846,10947001,10947029,10947033,10947083,10948205,10948213,10948475,10948521,10960243,10961470,10961473,10961481,10961488,10961490,10961497,10961550,10961556,10963151,10963158,10971502,10979906,10980011,10980012,10980014,10980026,10980029,10980030,10981146,10983373,10983386,11229042,11229462,11230385,11230791,11231092,11232214,11232329,11234036,11234072,11234084,11236634,11240549,11241103,11241597,11244279,11244287,11244386,11246389,11246395,11258330,11261414,11261418,11261428,11269288,11295840,11297630,11301559,11302321,11303096,11317998,11318242,11319643,11322898,11323058,11326669
[C5, 0, C5, 0, C5] (155 semigroups)
7897642,7897643,7897644,9107780,9107781,9107782,9107783,10200652,10200653,10200654,10200655,10200656,10200657,10200658,10200659,10200660,10200661,10200663,10200667,10200671,10200804,10305004,10305005,10305006,10350015,10350016,10350018,10350071,11000612,11000613,11000614,11000615,11000616,11000617,11361082,11361083,11361084,11361085,11361086,11361087,11361088,11361089,11361090,11361091,11361092,11361093,11361094,11361095,11361096,11361101,11361103,11361104,11361106,11361110,11361114,11361119,11361121,11361123,11362171,11362172,11362173,11362174,11362175,11362176,11362177,11362178,11362179,11362180,11362182,11362183,11362184,11362186,11362187,11362188,11362630,11362631,11362632,11362633,11362634,11362635,11362636,11362637,11427828,11427829,11427830,11427831,11427832,11427833,11427834,11427835,11427836,11427837,11429310,11429311,11429312,11429313,11429314,11429315,11429316,11429317,11429318,11429319,11429320,11429321,11429322,11429323,11430286,11430291,11430292,11430293,11430294,11430295,11430296,11430297,11430298,11430299,11430300,11430302,11430303,11430304,11430305,11430306,11430307,11430308,11430309,11430310,11430311,11430313,11430314,11430315,11430316,11430317,11430318,11430319,11430321,11430322,11433088,11433089,11433090,11433091,11433092,11433093,11433094,11433095,11433096,11433097,11433098,11433099,11433100,11433101,11433102,11433103,11433104,11433105,11433106
[0, Z, C2, 0, C2, 0] (146 semigroups)
7873047,7873053,7885137,7885143,7894546,7894552,9106600,9106606,9107125,9107131,9724922,9725081,9725221,9725370,9725379,9734469,9833761,9833775,9834098,9858315,9858329,9858652,10182524,10182578,10182597,10182601,10182634,10182640,10183591,10183712,10183885,10192783,10192837,10192891,10192897,10192898,10192899,10193850,10193971,10194144,10328830,10330003,10356336,10506593,10506596,10506618,10506785,10507161,10507829,10507834,10510539,10510540,10510801,10511925,10938993,10939003,10939116,10939126,10939182,10939223,10939260,10940316,10940379,10940422,10940480,10940526,10940569,10944464,10944511,10944549,10945539,10945565,10945591,10945617,10948749,10948811,10949344,10950168,10950728,10950734,10960144,10960188,10960904,10960973,10971486,10971576,10972582,10972583,10972584,10972585,10972586,10972595,10972596,10972597,10972606,10978779,10978785,10990585,10991004,10992468,10992592,10992598,10994247,10994492,10994566,10994608,10994613,10995410,10995513,11334700,11334738,11334792,11334814,11334815,11334816,11338273,11338500,11338642,11338646,11338819,11344586,11344601,11344609,11345143,11345144,11345145,11345921,11345930,11346031,11346073,11346259,11346260,11346272,11346273,11346986,11347016,11347202,11347562,11347582,11349154,11349158,11349169,11349174,11349176,11349187,11349232
[0, Z, Z x Z x Z, Z^8, Z^21] (128 semigroups)
4593116,4593156,4593356,4593372,4593380,4593417,4593449,4593734,4593742,4593750,4593767,4593775,7301657,7301673,7301780,7301796,7301804,7301862,7301870,7301878,7301886,7301907,7301923,7301931,7302095,7302108,7302121,7302144,7302180,7302188,7302196,7302209,7302217,7302225,7302243,7564114,7564228,7564254,7564290,7564324,7564338,7564490,7564508,7564520,7582348,7582429,8992793,8992817,8992833,8992841,8992877,8992885,8992901,8992909,8992917,8992993,8993001,8993024,8993032,8993040,8993048,8993056,8993064,8993072,8993080,8993088,8993135,8993143,8993151,9076396,9076432,9076452,9076468,9076482,9076502,9076522,9076586,9076598,9076622,9076640,9076652,9076668,9076684,9076698,9083283,9083313,9191011,9191013,9233205,9233207,9315862,9315863,9315864,9316015,9316016,9320644,9320645,9320665,10279733,10279741,10279749,10279757,10279765,10279773,10279786,10279794,10279807,10279815,10279823,10279836,10294902,10294920,10294944,10294962,10294974,10294990,10295004,10295042,10295054,10297913,10297922,10312424,10312425,10312426,10312513,10312514,10313287,10356070
[0, Z, 0, Z, 0] (102 semigroups)
7851659,7854763,7854768,7854861,9726540,9728369,9728372,9728423,9728426,10135813,10136239,10136243,10136449,10136453,10138050,10138055,10138079,10139104,10139124,10143365,10143368,10143380,10143969,10143973,10144773,10156615,10156625,10156628,10170006,10170032,10507894,10507972,10507973,10507976,10937667,10937672,10942041,10942046,10942073,10942078,10942221,10942226,10942250,10942438,10942458,10942652,10946762,10946777,10946866,10946875,10947006,10947021,10948237,10961589,10961592,10961609,10961615,10961619,10961623,10979951,10980048,10980049,10980051,10980053,10981152,10981207,10981252,10981257,10981299,10981313,10981314,10981799,10981805,10983362,10983375,11229271,11229365,11230859,11230878,11232739,11232872,11233361,11233478,11233557,11238606,11239307,11241128,11244237,11244256,11244309,11244373,11244408,11246451,11246482,11260058,11260755,11260806,11269395,11269400,11296109,11296182,11423003
[0, C2, 0, C2, 0] (83 semigroups)
7873051,7885141,7894550,9106604,9107129,9724927,9726642,9728880,9729123,9730090,9833973,9834096,9858527,9858650,10182528,10182586,10182600,10182638,10183676,10192787,10192845,10192857,10192895,10193935,10304731,10328835,10506603,10506606,10506795,10507164,10507828,10507830,10507833,10510544,10510545,10511200,10939020,10939024,10939134,10939138,10939191,10944472,10944476,10944519,10944523,10944555,10948707,10948711,10948715,10948758,10950133,10950137,10960128,10960129,10960152,10963597,10963598,10963616,10978783,10990591,10992596,10994496,10994591,10994612,10995416,11334704,11334742,11334800,11334812,11338367,11338585,11344989,11344991,11344993,11344995,11346112,11346114,11346116,11346148,11346150,11346154,11346271,11349281
[0, 0, Z, Z, Z x Z] (80 semigroups)
7851203,7851214,7851216,7852039,7852469,7852474,7852476,7853866,9725590,9725592,9725599,9725601,9726226,9726239,9726242,9726244,9726266,9726269,9726298,9726302,9726305,9726307,9726739,9727619,9727644,9727647,9727671,9727674,9727676,9728243,9728252,9808890,9808893,9809220,9809225,9809232,9809563,9809568,10135311,10135489,10135613,10135797,10139142,10139155,10139173,10145422,10145435,10145453,10506632,10506705,10507878,10507880,10507887,10507888,10507898,10507902,10507910,10507920,10507953,10507962,10507968,10510708,10939402,10939927,10941951,10941979,10941999,10942388,10942409,10942478,10942504,10948216,10948235,10948255,10950882,10970015,10979907,10979950,10979968,10981791
[0, 0, Z, 0, Z] (73 semigroups)
10136240,10136450,10138051,10138054,10138078,10139106,10143366,10143369,10143378,10143381,10143970,10156616,10170007,10937668,10937671,10942042,10942045,10942074,10942077,10942222,10942225,10942249,10942440,10942456,10942651,10946763,10946778,10946867,10946874,10947005,10947022,10961595,10961598,10961604,10961608,10961612,10979962,10980066,10980067,10980069,10981155,10981211,10981215,10981233,10981256,10981259,10984693,11229272,11229364,11230860,11230877,11232741,11232874,11233359,11233476,11233556,11238607,11239306,11241129,11244238,11244255,11244310,11244372,11244409,11246452,11246484,11260059,11260754,11269401,11269405,11269410,11296110,11296181
[0, Z, Z, Z x Z, Z x Z x Z] (58 semigroups)
7851202,7851213,7852038,7852471,7852477,7853868,9725589,9725598,9726238,9726241,9726265,9726268,9726299,9726308,9726738,9727643,9727646,9727677,9728244,9728253,9809228,9809230,9809236,9809241,9809566,9809576,10135310,10135612,10139156,10139172,10145436,10145452,10506631,10507897,10507900,10507922,10507923,10507941,10507946,10507956,10507979,10508001,10508002,10508005,10511323,10939401,10941978,10941998,10942387,10942479,10942503,10948217,10950881,10970021,10970026,10979957,10980119,10980127
[0, Z, Z x Z, Z x Z x Z, Z x Z x Z x Z] (56 semigroups)
7851482,7851588,7853199,7853229,7854938,7855297,7859198,7859652,7861738,7861751,9011983,9011991,9012004,9102445,9102478,9102737,9102750,9102780,9103103,9103186,9104227,9104413,9105777,9105798,9724670,9726347,9726484,9726499,9726509,9728469,9733143,9733148,10302885,10302915,10302928,10302958,10303043,10303068,10303519,10303557,10304248,10304261,10328722,10328956,10329025,10329031,10329041,10329171,10329757,10329759,10506367,10507852,10507857,10507928,10507990,10508003
[0, 0, Z, Z x Z, Z x Z x Z x Z] (45 semigroups)
7850496,7850558,7850654,7852480,7853871,9724944,9725090,9725531,9725534,9725543,9725546,9725570,9725573,9725576,9725583,9726223,9727616,9728288,9728300,9728309,9797962,9808877,9808880,9808885,10134851,10136073,10146634,10171484,10506493,10506629,10506641,10507858,10507863,10507865,10507872,10507873,10510707,10937815,10941910,10941926,10942760,10948261,10970009,10972499,10979901
[0, 0, 0, Z, 0] (41 semigroups)
10136945,10137010,10137072,10137385,10137431,10139115,10140280,10939450,10942147,10942167,10942275,10942295,10942402,10944699,10946741,10946745,10946837,10946861,10979923,10981182,10981187,10981193,11231109,11231135,11232075,11232895,11232909,11238405,11238489,11238601,11240512,11240533,11242501,11242705,11242830,11246334,11301931,11302834,11422596,11422955,11422959
[0, Z, Z x Z x Z, Z^9, Z^27] (39 semigroups)
7301633,7850410,7850778,7854388,7858906,7861725,8992861,9076362,9083273,9233203,9235362,9724661,9725521,9725566,9725627,9728313,9733024,9733039,9796370,9796448,9808899,9808909,9809774,9810364,9810367,9811588,10279844,10295024,10297931,10312423,10313273,10506354,10507835,10507849,10507927,10507984,10507998,10510462,10510936
[0, Z, 0, Z, Z] (38 semigroups)
7851205,7851217,7852041,7852468,7852473,7853865,9725593,9725602,9726227,9726245,9726301,9726304,9726765,9727620,9727670,9727673,9808888,9808891,9809218,10135490,10135798,10139141,10145421,10506706,10507876,10507882,10507908,10507912,10507960,10507961,10507967,10510643,10939928,10941952,10942410,10948234,10948254,10979890
[0, 0, Z x Z, 0, 0] (36 semigroups)
10134520,10134769,10135867,10135886,10142330,10142359,10142385,10142702,10142734,10155137,10169870,10937548,10946468,10946508,10947025,10948187,10948199,10963136,11229286,11230869,11232786,11232978,11238805,11244246,11244363,11259928,11260158,11266630,11296198,11422261,11422391,11422859,11422971,11422976,11423166,11423212
[C6, 0, C6, 0, C6, 0] (35 semigroups)
7897631,7897632,7897633,9107769,9107770,10200548,10200549,10200550,10200562,10200563,10200564,10200759,10200760,10200761,10200762,11000575,11000577,11000579,11360722,11360723,11360724,11361821,11361822,11361823,11361824,11361825,11361826,11362261,11362262,11362263,11362351,11362352,11362353,11362428,11362429
[0, Z, 0, Z x Z, 0] (34 semigroups)
7851225,7851229,9725607,9725611,9726248,9726292,9726296,9728235,9728267,9808894,9809219,9809780,10135892,10135983,10139108,10139126,10146652,10507884,10507901,10507913,10507921,10942018,10942442,10942453,10942461,10942468,10948184,10948203,10979903,10979952,10981806,11232919,11233405,11246490
[0, 0, Z x Z, Z x Z, Z x Z] (32 semigroups)
7850616,7850704,7851232,7852050,7853459,9725230,9725555,9725558,9726274,9727652,9728231,9728276,9728285,9728297,9808883,10135338,10135643,10139149,10145429,10507157,10507864,10507866,10939525,10941986,10942009,10942394,10948209,10979908,11231246,11234094,11246397,11302430
[0, 0, Z, Z x Z, Z x Z x Z] (29 semigroups)
7851208,7851220,7852031,7852044,7853447,7853453,9726251,9726254,9726277,9726286,9726817,9727632,9727655,9727664,9728240,9728249,9728951,9809223,9809561,10139089,10145402,10507166,10507879,10507881,10507947,10942420,10942514,10950329,10979971
[C2, 0, C6, 0, C2, 0] (26 semigroups)
1739058,1739059,1739060,1739061,4349608,4349609,4635126,4635127,4635128,4635170,4635171,4635172,4635189,4635190,7620921,7620922,7620923,7897272,7897273,7897274,7897583,7897584,7897585,7897620,7897634,7897641
[0, Z x Z, 0, 0, 0] (24 semigroups)
11259866,11259927,11261114,11266621,11266631,11266633,11266645,11285392,11328907,11343110,11423020,11423080,11423082,11423149,11423159,11423161,11423163,11423165,11423211,11423213,11423215,11423221,11423225,11423228
[0, 0, Z, 0, Z x Z] (21 semigroups)
7851228,9725610,9726247,9726293,9728268,9809229,9809773,10135982,10139109,10146653,10507903,10507919,10507959,10942017,10942443,10942467,10948185,10970031,10979963,10980111,11232920
[0, Z, Z x C2, Z x C2 x C2, Z x C2^5] (20 semigroups)
9726722,9726896,9728942,9729018,9836511,9861019,10329224,10506621,10506788,10507170,10510575,10510802,10949196,10949250,10949304,10949387,10950648,10964017,10964081,10971737
[0, 0, Z x Z, 0, Z x Z x Z x Z] (14 semigroups)
7851226,9725608,9726295,9728234,9808896,10135893,10139122,10507911,10942454,10942460,10948202,10979964,11233404,11246491
[0, 0, Z, C2, 0, C2] (13 semigroups)
10940187,10940222,10940263,10940296,10945385,10945431,10945473,10948747,10948810,10949345,10960732,10971547,11349178
[0, Z, Z, Z x Z, Z x Z x Z x Z] (10 semigroups)
10156725,10160045,10961391,10961697,10963271,10971604,10971605,10983351,10983367,10984909
[0, 0, C2, 0, C2] (9 semigroups)
10948705,10948710,10948714,10948756,10950131,10950136,10963594,10963615,11349188
[0, 0, C2, C2, C2 x C2] (8 semigroups)
9726641,9728879,9834095,9858649,10506605,10507831,10507832,10511201
[0, 0, Z, Z x C2, Z x C2] (8 semigroups)
9725044,9725186,9833774,9858328,10506595,10506733,10506745,10510816
[0, Z, Z x Z x Z x Z, Z^16, Z^64] (8 semigroups)
4593010,7564068,7582278,9191009,9195749,9315861,9320643,10356069
[0, Z x Z, Z x Z, Z x Z, Z x Z] (7 semigroups)
10346703,11257354,11261359,11266643,11285388,11285396,11324149
[0, Z, C3, 0, C3, 0] (7 semigroups)
11354136,11354162,11355565,11425130,11425139,11425147,11426189
[0, Z, Z, 0, 0, 0] (7 semigroups)
11260183,11260890,11266624,11266627,11266648,11423201,11423206
[0, 0, Z x Z x Z, 0, 0] (6 semigroups)
7850746,9728273,10135906,10948191,11233039,11422977
[0, Z, Z x Z, Z x Z x Z, Z^5] (5 semigroups)
7302685,8992869,9011941,9076810,10306197
[0, 0, Z, C2, Z, C2 x C2 x C2] (4 semigroups)
9726782,10506736,10506769,10510817
[0, Z x Z, Z x Z x Z x Z, Z^8, Z^16, Z^32] (4 semigroups)
10155368,10961519,10971603,10983358
[0, 0, Z, Z x C2, Z x C2 x C2] (3 semigroups)
9726861,9728989,10507169
[0, C2, C2, C2 x C2, C2 x C2, C2 x C2 x C2] (3 semigroups)
7894840,7894845,10507191
[0, Z, 0, Z, C2, Z, C2 x C2 x C2] (3 semigroups)
9726781,10506735,10511331
[0, Z, C2, Z, C2 x C2 x C2, Z x C2] (3 semigroups)
9726808,10506770,10510764
[0, Z, Z x Z x C2, Z x Z x Z x Z x C2 x C2 x C2 x C2, Z^8 x C2^15, Z^16 x C2^50] (3 semigroups)
9729320,10507188,10511301
[C7, 0, C7, 0, C7, 0] (3 semigroups)
11362629,11430289,11433087
[0, 0, C2 x C2, 0, C2 x C2, 0] (2 semigroups)
9729122,10507163
[0, 0, Z x Z, C2 x C2, 0, C2 x C2] (2 semigroups)
9725306,10507160
[0, Z, C2 x C2, C2, C2 x C2 x C2, C2 x C2] (2 semigroups)
7894836,7894844
[0, Z, C4, 0, C4, 0] (2 semigroups)
10304727,10304734
[0, Z, Z x C2, Z x C2, Z x C2 x C2, Z x C2 x C2] (2 semigroups)
9729329,9730134
[0, Z, Z x Z, Z x Z x Z, Z^6] (2 semigroups)
7301788,9233225
[0, 0, Z, C3, 0, C3] (1 semigroup)
11354141
[0, C2 x C2, 0, C2 x C2, 0, C2 x C2] (1 semigroup)
11349286
[0, Z x Z x Z, 0, 0, 0, 0] (1 semigroup)
11423238
[0, Z x Z, C2 x C2, 0, C2 x C2, 0] (1 semigroup)
11349238
[0, Z, Z x C3, Z x C3 x C3, Z x C3^5, Z x C3^10] (1 semigroup)
11354262
[0, Z, Z x Z, Z x Z, Z x Z x Z x Z, Z^8] (1 semigroup)
8992825
[C2 x C2 x C2, C2 x C2 x C2, C2^7, C2^8, C2^13, C2^15] (1 semigroup)
28256
[C2 x C2, 0, C8, 0, C2 x C2, 0] (1 semigroup)
10200808
[C2 x C2, C2, C2 x C2 x C4, C2 x C2, C2 x C2 x C2 x C2, C2 x C2 x C2] (1 semigroup)
630975
[C2 x C4, C2, C2 x C2 x C4, C2 x C2, C2 x C2 x C2 x C4, C2 x C2 x C2] (1 semigroup)
4711892
[C2, Z, C2, 0, C2, 0] (1 semigroup)
10356335
[C8, 0, C8, 0, C8, 0] (1 semigroup)
10280767

In Lexicographic Order

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0] with zero element : 1841546661
[0, 0, 0, 0] : 5493
[0, 0, 0, Z, 0] : 41
[0, 0, C2 x C2, 0, C2 x C2, 0] : 2
[0, 0, C2, 0, C2] : 9
[0, 0, C2, C2, C2 x C2] : 8
[0, 0, Z x Z x Z, 0, 0] : 6
[0, 0, Z x Z, 0, 0] : 36
[0, 0, Z x Z, 0, Z x Z x Z x Z] : 14
[0, 0, Z x Z, C2 x C2, 0, C2 x C2] : 2
[0, 0, Z x Z, Z x Z, Z x Z] : 32
[0, 0, Z, 0, 0] : 434
[0, 0, Z, 0, Z x Z] : 21
[0, 0, Z, 0, Z] : 73
[0, 0, Z, C2, 0, C2] : 13
[0, 0, Z, C2, Z, C2 x C2 x C2] : 4
[0, 0, Z, C3, 0, C3] : 1
[0, 0, Z, Z x C2, Z x C2 x C2] : 3
[0, 0, Z, Z x C2, Z x C2] : 8
[0, 0, Z, Z x Z, Z x Z x Z x Z] : 45
[0, 0, Z, Z x Z, Z x Z x Z] : 29
[0, 0, Z, Z, Z x Z] : 80
[0, 0, Z, Z, Z] : 156
[0, C2 x C2, 0, C2 x C2, 0, C2 x C2] : 1
[0, C2, 0, C2, 0] : 83
[0, C2, C2, C2 x C2, C2 x C2, C2 x C2 x C2] : 3
[0, Z x Z x Z, 0, 0, 0, 0] : 1
[0, Z x Z, 0, 0, 0] : 24
[0, Z x Z, C2 x C2, 0, C2 x C2, 0] : 1
[0, Z x Z, Z x Z x Z x Z, Z^8, Z^16, Z^32] : 4
[0, Z x Z, Z x Z, Z x Z, Z x Z] : 7
[0, Z, 0, 0] : 2353
[0, Z, 0, Z x Z, 0] : 34
[0, Z, 0, Z, 0] : 102
[0, Z, 0, Z, C2, Z, C2 x C2 x C2] : 3
[0, Z, 0, Z, Z] : 38
[0, Z, C2 x C2, C2, C2 x C2 x C2, C2 x C2] : 2
[0, Z, C2, 0, C2, 0] : 146
[0, Z, C2, Z, C2 x C2 x C2, Z x C2] : 3
[0, Z, C3, 0, C3, 0] : 7
[0, Z, C4, 0, C4, 0] : 2
[0, Z, Z x C2, Z x C2 x C2, Z x C2^5] : 20
[0, Z, Z x C2, Z x C2, Z x C2 x C2, Z x C2 x C2] : 2
[0, Z, Z x C3, Z x C3 x C3, Z x C3^5, Z x C3^10] : 1
[0, Z, Z x Z x C2, Z x Z x Z x Z x C2 x C2 x C2 x C2, Z^8 x C2^15, Z^16 x C2^50] : 3
[0, Z, Z x Z x Z x Z, Z^16, Z^64] : 8
[0, Z, Z x Z x Z, Z^8, Z^21] : 128
[0, Z, Z x Z x Z, Z^9, Z^27] : 39
[0, Z, Z x Z, Z x Z x Z x Z, Z^8] : 263
[0, Z, Z x Z, Z x Z x Z, Z x Z x Z x Z] : 56
[0, Z, Z x Z, Z x Z x Z, Z^5] : 5
[0, Z, Z x Z, Z x Z x Z, Z^6] : 2
[0, Z, Z x Z, Z x Z, Z x Z x Z x Z, Z^8] : 1
[0, Z, Z, 0, 0, 0] : 7
[0, Z, Z, Z x Z, Z x Z x Z x Z] : 10
[0, Z, Z, Z x Z, Z x Z x Z] : 58
[0, Z, Z, Z] : 937
[C2 x C2 x C2, C2 x C2 x C2, C2^7, C2^8, C2^13, C2^15] : 1
[C2 x C2, 0, C8, 0, C2 x C2, 0] : 1
[C2 x C2, C2, C2 x C2 x C2, C2 x C2] : 1596
[C2 x C2, C2, C2 x C2 x C4, C2 x C2, C2 x C2 x C2 x C2, C2 x C2 x C2] : 1
[C2 x C4, C2, C2 x C2 x C4, C2 x C2, C2 x C2 x C2 x C4, C2 x C2 x C2] : 1
[C2, 0, C2] : 1534631
[C2, 0, C6, 0, C2, 0] : 26
[C2, Z, C2, 0, C2, 0] : 1
[C3, 0, C3] : 23578
[C4, 0, C4, 0] : 2573
[C5, 0, C5, 0, C5] : 155
[C6, 0, C6, 0, C6, 0] : 35
[C7, 0, C7, 0, C7, 0] : 3
[C8, 0, C8, 0, C8, 0] : 1
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