Fano fourfold literature

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CGKS20 Quantum periods for certain Fano fourfolds

Coates, T., Galkin, S., Kasprzyk, A., & Strangeway, A. (2020). Quantum periods for certain four-dimensional Fano manifolds. Exp. Math., 29(2), 183–221.

count– (quantum-periods)
constructionmixed
entry numberingtable entry
invariantsquantum_period
links10.1080/10586458.2018.1448018 MR4101417
notesComputes quantum periods (to degree seven) for Fano fourfolds of index > 1, toric ones, products, and certain complete intersections in projective bundles. A computation rather than a new enumeration. The periods are in the Zenodo database doi:10.5281/zenodo.5708307 (entries named Str(k), MW(4,k), V(4,k), FI(4,k)); degree and Picard rank tables are in arXiv:1406.4891.

Varieties

Each row is a family from this source. The description column records the construction as given in the paper (ambient and defining bundle, Cox-ring data, base variety, or birational model, depending on the source); the invariant columns are those the paper tabulates. Provenance and conventions are noted below the table.

entry$\rho_X$$(-\mathrm{K}_X)^4$quantum period $G_X$description
CGKS20:BOS^4_11525121, 0, 0, 0, 24, 120, 0, 0, 2520, 45360, 113400, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,5],[0,0,0],[0,3,0]], and sequence of generalised partitions [[[1],[-1]],[[1],[0]]].
CGKS20:BOS^4_2125941, 0, 0, 6, 0, 0, 90, 1260, 0, 1680, 100800, 0, …period: [1,0,0,6,0,0,90,1260,0,1680,100800,0,34650,5405400,18918900,756756,242161920,3087564480,17153136,9777287520,293318625600,456672490560,368743415040,21202746364800,113090779457370,13251716478000,1292042356605000,15504736152691500,14025837582256500,69942559570884000,1554284652571991340,4532610920000763600]
CGKS20:BOS^4_11825131, 0, 0, 6, 0, 120, 90, 0, 10080, 1680, 113400, 554400, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1] and adjacency matrix [[0,2,3],[0,0,0],[0,1,0]].
CGKS20:BOS^4_1734501, 0, 0, 6, 0, 120, 90, 1260, 10080, 1680, 214200, 554400, …period: [1,0,0,6,0,120,90,1260,10080,1680,214200,554400,3361050,27027000,44144100,736491756,2512429920,12693320640,107052721776,303095913120,2984517015480,12776054765760,64361090233440,498794608231920,1810488418994970,14171032222467120,70824429750789000,358981276232564700,2557571429811418020,11003629919537455200,75543021294631630740,409081041597608780400]
CGKS20:BOS^4_4725131, 0, 0, 6, 24, 0, 90, 2520, 2520, 1680, 151200, 831600, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1] and adjacency matrix [[0,1,3],[0,0,0],[0,2,0]].
CGKS20:BOS^4_9434591, 0, 0, 6, 24, 120, 90, 1260, 12600, 47040, 163800, 831600, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,2,2],[0,0,1,0],[0,0,0,0],[0,1,0,0]].
CGKS20:BOS^4_3734171, 0, 0, 6, 24, 120, 90, 2520, 12600, 47040, 264600, 1386000, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,2,3],[0,0,0,0],[0,1,0,0],[0,1,1,0]], and sequence of generalised partitions [[[1],[0],[0]]].
CGKS20:BOS^4_7434861, 0, 0, 6, 48, 0, 90, 2520, 15120, 1680, 100800, 1663200, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,2,4],[0,0,0],[0,1,0]], and sequence of generalised partitions [[[0],[2]]].
CGKS20:BOS^4_8634051, 0, 0, 6, 48, 120, 90, 2520, 25200, 92400, 214200, 2217600, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,2,2],[0,0,0,0],[0,1,0,0],[0,1,0,0]].
CGKS20:BOS^4_11434011, 0, 0, 12, 0, 120, 900, 0, 20160, 94080, 113400, 3603600, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,3,3],[0,0,0,0],[0,1,0,0],[0,1,0,0]], and sequence of generalised partitions [[[1],[0],[0]]].
CGKS20:BOS^4_4634061, 0, 0, 12, 24, 0, 900, 3780, 2520, 94080, 655200, 1108800, …period: [1,0,0,12,24,0,900,3780,2520,94080,655200,1108800,12358500,117117000,334233900,2019529512,21615473880,88510181760,405568747584,4139703535968,21961743227424,94586277614400,831639315386880,5265560708055648,23808392672443236,177112976933178000,1242973459106379000,6154387043479989600,40128652249654725900,292895792236531083600,1595727339926745425400,9611890903108702494000]
CGKS20:BOS^4_8743641, 0, 0, 12, 24, 120, 900, 3780, 22680, 139440, 768600, 4712400, …period: [1,0,0,12,24,120,900,3780,22680,139440,768600,4712400,28990500,174774600,1090989900,6917422512,43309145880,274964770080,1776704673744,11394450875808,73578488367384,480798911941920,3134234524140720,20523410371271808,135305390292451236,892403174230373520,5905633569451644600,39237665628525078000,261086459293689426540,1741794615297022366080,11651003929353835846800,78066860492768982120000]
CGKS20:BOS^4_3243221, 0, 0, 12, 24, 240, 900, 5040, 42840, 184800, 1436400, 8870400, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,1,1,0,0],[0,1,1,0,0]], and sequence of generalised partitions [[[0],[1],[0],[0]],[[1],[0],[0],[0]]].
CGKS20:BOS^4_3043271, 0, 0, 12, 48, 120, 900, 7560, 35280, 184800, 1423800, 9424800, …period: [1,0,0,12,48,120,900,7560,35280,184800,1423800,9424800,52644900,349549200,2509907400,16124620512,103519175760,723519276480,4999350099744,33289708548096,227924704615608,1599330381517440,11049073781185440,76116516609028896,533696607622925604,3754483531577269920,26261806837047210000,184656378229623814800,1307869188517049712840,9259213990331639093760,65562974755749079408800,466314947533915504596000]
CGKS20:BOS^4_3152491, 0, 0, 18, 72, 360, 2430, 18900, 128520, 912240, 6841800, 51559200, …period: [1,0,0,18,72,360,2430,18900,128520,912240,6841800,51559200,396222750,3054051000,23894570700,188939018268,1503590928840,12050764165440,97201315555344,788766049287216,6431874689632392,52689656983186080,433484664370037280,3580069835897611056,29671892097832570014,246722572437077982960,2057705704709328702600,17209560109551672505500,144305017431532224618780,1212948763657768520903520,10218414123972109174899780,86266499927615648460705600]
CGKS20:Str_122251, 0, 0, 30, 120, 240, 5850, 50400, 214200, 2200800, 24015600, 155232000, …period: [1,0,0,30,120,240,5850,50400,214200,2200800,24015600,155232000,1237640250,13171158000,107459352000,847023957780,8263182727800,75047542970400,625525983482400,5770970629023600,54180921899023920,477239981612565600,4330450914906916800,40743999585170481600,372223082780746990650,3395648285973306174240,31825042922771113158000,296437551936733279429500,2737644064239154581997200,25635226023884613685348800,240975771498246868716332700,2251324401009638484414456000]
CGKS20:BOS^4_228001, 0, 2, 0, 6, 0, 20, 840, 70, 15120, 252, 166320, …period: [1,0,2,0,6,0,20,840,70,15120,252,166320,924,1441440,7570992,10810800,259472070,73513440,4962205820,465585120,69837952756,111430038720,806626925832,5513071003440,8095596770716,150007645788000,73085234612600,2923890849079200,2525656730673600,45652696255857600,133107468669137520,606508049748837600]
CGKS20:BOS^4_136051, 0, 2, 0, 6, 0, 380, 840, 6790, 15120, 75852, 166320, …period: [1,0,2,0,6,0,380,840,6790,15120,75852,166320,1913604,7927920,58021392,237837600,1202173830,4484319840,25276419740,119189790720,740446805956,3777912858720,20352588641112,95389156983120,487133992806916,2381917954416000,13029123346429400,69264392940943200,378769617579211200,1963937441969193600,10253534811156686880,52306301267374190400]
CGKS20:BOS^4_1235601, 0, 2, 0, 6, 60, 380, 840, 6790, 7560, 94752, 471240, …period: [1,0,2,0,6,60,380,840,6790,7560,94752,471240,2412564,13333320,58021392,237597360,1432804230,6710143440,38784514340,206087927760,961308747256,5168732008440,25873496994072,137839268286720,757709949257716,3953368068009360,20722735294251200,110423673809532720,570334985343381600,3123246895849931760,16653819360671142480,89590564488956580000]
CGKS20:BOS^4_12125441, 0, 2, 0, 6, 120, 20, 2520, 70, 30240, 113652, 277200, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1] and adjacency matrix [[0,1,4],[0,0,0],[0,1,0]].
CGKS20:BOS^4_10534891, 0, 2, 0, 6, 120, 380, 2520, 6790, 30240, 189252, 1108800, …period: [1,0,2,0,6,120,380,2520,6790,30240,189252,1108800,6903204,34594560,163967232,864383520,4776945030,28686577920,166973575340,908489593440,4998804709756,27314715027600,157299795837912,919394273157360,5311497674384356,30516395376186720,172804908294809000,991554488457099840,5753544146204713200,33620416393128757920,196729524000040481280,1144392251283337190400]
CGKS20:BOS^4_1835291, 0, 2, 0, 30, 60, 380, 840, 5950, 37800, 119952, 887040, …period: [1,0,2,0,30,60,380,840,5950,37800,119952,887040,2283204,24144120,70802160,615975360,1921092030,15531756240,62524104500,410712588000,1925163062680,10766229113640,59604898385760,303044000379120,1819124072611300,8708940616936560,54517712087174000,262072381825537920,1635906585834036000,8056763536477546800,48821168651366076480,251404157992364899200]
CGKS20:BOS^4_1044961, 0, 2, 0, 30, 60, 740, 840, 12670, 22680, 346752, 887040, …period: [1,0,2,0,30,60,740,840,12670,22680,346752,887040,9185484,23423400,242333520,767326560,7303428990,25456070640,215713861220,805994354880,6597476022280,27055190121960,209358257100720,904613031962640,6667695115326700,30349662904120560,217219806211343600,1035382962914183520,7177814193986733600,35388350065188010800,239308655762991867840,1217874741830935473600]
CGKS20:BOS^4_10934641, 0, 2, 0, 30, 120, 380, 2520, 5950, 75600, 214452, 1940400, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,2,2],[0,0,0,0],[0,0,0,1],[0,1,0,0]].
CGKS20:BOS^4_10434311, 0, 2, 0, 30, 120, 740, 2520, 12670, 75600, 441252, 2772000, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,4],[0,0,0,0],[0,0,0,0],[0,3,1,0]], and sequence of generalised partitions [[[1],[0],[-1]],[[1],[1],[-1]]].
CGKS20:BOS^4_1544331, 0, 2, 0, 30, 180, 380, 3360, 5950, 98280, 384552, 2411640, …period: [1,0,2,0,30,180,380,3360,5950,98280,384552,2411640,12262404,59459400,456747720,2161439280,15038196030,74358844560,474934502900,2836776880080,16610299728880,104659383508680,585785106979800,3756166464130080,21969507459505060,137755622738413680,833163862568172800,5062723304674286160,31517440000622091000,191141522097175213200,1200500795298760721280,7325240395501350050400]
CGKS20:BOS^4_1144151, 0, 2, 0, 30, 180, 740, 3360, 12670, 98280, 611352, 3659040, …period: [1,0,2,0,30,180,740,3360,12670,98280,611352,3659040,19164684,104864760,648459240,4129004880,25667374590,152773180560,912069921620,5647747042080,35739030664480,226166624163480,1411500200903520,8799946445209920,55438252303639660,353150628640489680,2257687225060803200,14396371512087015360,91768286151716671800,587002127291179563600,3774234953687602256640,24339472914733243596000]
CGKS20:BOS^4_835761, 0, 2, 6, 6, 60, 110, 1680, 1750, 34440, 119952, 475860, …period: [1,0,2,6,6,60,110,1680,1750,34440,119952,475860,3528294,10522512,81985332,274390116,1991362230,8645297232,44768508356,273213662436,1137000617896,7457093958600,33021101558172,196779053235336,986203100880166,5235602161071360,29622589036988300,145175388460657620,858585004667472060,4279665864708098760,24310835153976455460,128797110543629772000]
CGKS20:BOS^4_2635601, 0, 2, 6, 6, 60, 470, 420, 8470, 34440, 94752, 891660, …period: [1,0,2,6,6,60,470,420,8470,34440,94752,891660,3777774,13765752,113516832,463579116,2187398070,15310515792,64641641636,349336829556,2170765864696,9817377724440,55738512714612,325850771731056,1555353168966766,9078466083969360,50679428202950900,256285214141454420,1491905458625745960,8187634443624063960,43044088190692760820,249273716740524720000]
CGKS20:BOS^4_735921, 0, 2, 6, 6, 120, 110, 1260, 8470, 11760, 189252, 531300, …period: [1,0,2,6,6,120,110,1260,8470,11760,189252,531300,2696694,20612592,50453832,474149676,2008659510,8665717632,65811730556,228584003076,1561323256636,8122453893840,35286056770692,244683339024696,1052368876636246,6127020588330720,34800867757460300,160017161971105140,1013430070870359120,4963561451162393520,26991105758575570260,157048485193463083200]
CGKS20:BOS^4_2034001, 0, 2, 6, 6, 120, 830, 2520, 21910, 102480, 441252, 3441900, …period: [1,0,2,6,6,120,830,2520,21910,102480,441252,3441900,18164454,103855752,715137852,3917389476,23610079350,152948095872,886932350876,5619361314996,35810097244636,217156903597920,1386903521368092,8773870891630416,54626827668490246,351022217152248720,2231847521062363700,14165102567696404740,91326313878911717220,584301873740214745920,3749713211504939464980,24250753927581147604800]
CGKS20:BOS^4_11134801, 0, 2, 6, 6, 180, 110, 2940, 11830, 34440, 434952, 891660, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,1,3],[0,0,1,0],[0,0,0,0],[0,1,0,0]].
CGKS20:BOS^4_2444421, 0, 2, 6, 6, 180, 470, 2940, 18550, 64680, 510552, 2554860, …period: [1,0,2,6,6,180,470,2940,18550,64680,510552,2554860,13756974,91603512,464147112,2917150236,17372968470,98201003472,623123245316,3629517024276,22069990289776,136567106830440,815511272941092,5082883240399536,31137189311065006,191300511700300080,1195005907057824500,7366895923449727860,46001931158889589680,287373379951859222280,1791664686196352029620,11264286783198105835200]
CGKS20:BOS^4_10634961, 0, 2, 6, 30, 60, 470, 2940, 7630, 64680, 271152, 1723260, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,3],[0,0,1,0],[0,0,0,0],[0,4,0,0]], and sequence of generalised partitions [[[1],[0],[-1]],[[1],[0],[-1]]].
CGKS20:BOS^4_4534321, 0, 2, 6, 30, 60, 830, 2940, 14350, 94920, 497952, 2554860, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,0,1,3],[0,0,0,0],[0,1,0,0],[0,1,1,0]].
CGKS20:BOS^4_4134331, 0, 2, 6, 30, 120, 470, 3780, 10990, 102480, 365652, 2748900, …period: [1,0,2,6,30,120,470,3780,10990,102480,365652,2748900,13461294,79711632,474405360,2542616076,16621617870,87472125312,574543988876,3189565690740,20067427211260,118490337760080,719072407746420,4427620038390120,26473242610115470,165916531484889120,996909977462949500,6250689617348157540,38114040250119814920,237617838478309321200,1470426145351654141620,9131433940379776406400]
CGKS20:BOS^4_644631, 0, 2, 6, 30, 120, 470, 3780, 14350, 87360, 441252, 2610300, …period: [1,0,2,6,30,120,470,3780,14350,87360,441252,2610300,14459214,78990912,479450400,2693967276,16052249070,93181669152,558113735036,3327146093700,19838126539660,120137810707200,723933931173180,4408125291038040,26793636096808750,163984190282097120,1005428118349004300,6178190119004485140,38104597076957592120,235339686104247757200,1458108770020265377620,9046169983024837207200]
CGKS20:P^1 x MM^3_{2-33}34321, 0, 2, 6, 30, 120, 830, 2520, 17710, 102480, 491652, 3026100, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,2,2,2],[0,0,0,0],[0,0,0,1],[0,0,0,0]].
CGKS20:BOS^4_8244321, 0, 2, 6, 30, 180, 470, 4200, 17710, 110040, 586152, 3247860, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1,1] and adjacency matrix [[0,1,1,1,2],[0,0,0,1,0],[0,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]].
CGKS20:BOS^4_11334001, 0, 2, 6, 30, 180, 470, 5460, 17710, 140280, 686952, 4218060, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,0,2,3],[0,0,0,0],[0,1,0,0],[0,1,0,0]].
CGKS20:BOS^4_9243841, 0, 2, 6, 30, 180, 830, 5460, 24430, 170520, 913752, 5881260, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,1,1,3],[0,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,1,1,0,0]], and sequence of generalised partitions [[[1],[0],[0],[0]]].
CGKS20:BOS^4_7044111, 0, 2, 6, 30, 240, 470, 5040, 21070, 132720, 831852, 3857700, …period: [1,0,2,6,30,240,470,5040,21070,132720,831852,3857700,28430094,148540392,972603060,5904294396,34894752750,230398588992,1368562654316,8922448297620,55589360337940,352192883877120,2277789233892900,14363099375813760,93574398582045550,598661099187456240,3882886061342152100,25235169583856380980,163504807883541925740,1070593976207206920000,6973596256204249613820,45750682053212371750800]
CGKS20:BOS^4_1643371, 0, 2, 6, 30, 240, 1190, 7560, 37870, 253680, 1562652, 10510500, …period: [1,0,2,6,30,240,1190,7560,37870,253680,1562652,10510500,68180574,449080632,2978006460,19979955996,136385101710,931863833472,6428909305676,44388860398740,308745782084740,2155762088594400,15130351207984740,106584503586029040,753303097082356990,5341448552683548240,37982285687833951700,270886947929305742580,1936841015433860300340,13882640160788098240800,99724852789848668862540,717877306681169925096000]
CGKS20:BOS^4_5244641, 0, 2, 6, 54, 60, 830, 2940, 23590, 64680, 623952, 2554860, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,1,1,4],[0,0,1,0],[0,0,0,0],[0,1,0,0]], and sequence of generalised partitions [[[0],[0],[2]]].
CGKS20:BOS^4_7143901, 0, 2, 6, 54, 120, 1190, 3780, 33670, 147840, 1096452, 5243700, …period: [1,0,2,6,54,120,1190,3780,33670,147840,1096452,5243700,38778894,209441232,1455833808,8357024676,57206442150,344940696672,2329904910476,14500350920484,97301440520284,620309619724080,4155589809231588,26935324766122344,180447421801043566,1184595833688995520,7949905054269273500,52687554170224040340,354422065808070261720,2366468553085904779680,15962884027023895193340,107219789883669520490400]
CGKS20:BOS^4_9143841, 0, 2, 6, 54, 180, 830, 5460, 33670, 185640, 1039752, 6712860, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,1],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[1],[1],[-1]],[[1],[0],[1],[-1]]].
CGKS20:BOS^4_1343681, 0, 2, 6, 54, 180, 830, 5880, 37030, 200760, 1140552, 7655340, …period: [1,0,2,6,54,180,830,5880,37030,200760,1140552,7655340,49007574,303134832,1906103628,12681104436,83381551110,544060017072,3584515908116,24064699760244,161554988905024,1083760303540200,7314361134781428,49729299765998424,338855494860800086,2312250613474289280,15837147387574865900,108882435195140214660,750237966760371969780,5178919965513903288120,35839680472635606802980,248618408635899060750000]
CGKS20:BOS^4_8143571, 0, 2, 6, 54, 240, 1190, 6300, 43750, 268800, 1663452, 10233300, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,1],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[1],[0],[0]],[[1],[0],[1],[-1]]].
CGKS20:P^2 x F_13432P^2 x F_1 (Fano index r=1)
CGKS20:P^1 x Q^324321, 0, 2, 12, 6, 240, 560, 2520, 30310, 53760, 680652, 3834600, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,5],[0,0,0],[0,3,0]], and sequence of generalised partitions [[[0],[2]],[[1],[-1]]].
CGKS20:BOS^4_2744171, 0, 2, 12, 6, 240, 560, 3360, 30310, 68880, 831852, 4000920, …period: [1,0,2,12,6,240,560,3360,30310,68880,831852,4000920,18393144,168071904,683606352,5083430352,32390611110,161099219424,1259219113724,6784935372072,43147070242276,295009032146400,1638417899222832,11452576863416832,70376007539341816,434661561483433440,2960350143657554000,17856787446710546880,118288440672516143280,765878509056393983040,4795257271199289770160,32111000227462871664000]
CGKS20:BOS^4_6044481, 0, 2, 12, 30, 120, 920, 4620, 16030, 129360, 718452, 3307920, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1,1] and adjacency matrix [[0,0,0,1,2],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,1,0,0]].
CGKS20:BOS^4_8843891, 0, 2, 12, 30, 180, 1280, 5460, 32830, 212520, 1190952, 7244160, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,1,3],[0,0,0,1,0],[0,0,0,0,0],[0,0,1,0,0],[0,3,1,0,0]], and sequence of generalised partitions [[[0],[1],[0],[0]],[[1],[0],[0],[-1]]].
CGKS20:BOS^4_3543691, 0, 2, 12, 30, 180, 1280, 5460, 32830, 227640, 1190952, 7659960, …period: [1,0,2,12,30,180,1280,5460,32830,227640,1190952,7659960,50529864,302846544,1968998460,13058437392,82947317310,549474807024,3668243165444,24126238473480,161905049054320,1091659897356600,7329164945214840,49715708489424120,338405705833123240,2302658167771771680,15760472750411067200,108157013845215357360,743060146867092084060,5123626895138650836000,35405338044724559986680,245025436226109835482000]
CGKS20:P^1 x MM^3_{2-30}33681, 0, 2, 12, 30, 240, 1280, 5040, 42910, 235200, 1260252, 9378600, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,4],[0,0,0,0],[0,0,0,0],[0,3,1,0]], and sequence of generalised partitions [[[0],[1],[1]],[[1],[0],[-1]]].
CGKS20:BOS^4_9343471, 0, 2, 12, 30, 300, 1280, 7980, 52990, 288120, 2060352, 12788160, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,1,0,0],[0,2,1,0,0]], and sequence of generalised partitions [[[0],[1],[0],[0]],[[1],[0],[1],[-1]]].
CGKS20:BOS^4_8543521, 0, 2, 12, 54, 240, 1280, 9660, 52150, 310800, 2091852, 13841520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,2],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[1],[1],[-1]],[[1],[0],[0],[0]]].
CGKS20:BOS^4_4243261, 0, 2, 12, 54, 240, 1640, 10080, 62230, 386400, 2646252, 17694600, …period: [1,0,2,12,54,240,1640,10080,62230,386400,2646252,17694600,118674864,818882064,5728982688,40059971952,283033243350,2019592496064,14484827818604,104358447023688,756429978971524,5509639042496160,40283281593395568,295664000940092928,2178216487058316016,16098956455257131040,119336297922249146000,887112153792581508480,6611842072238120606880,49397734671032862411360,369889081203481725108240,2775617581206383760931200]
CGKS20:BOS^4_5144801, 0, 2, 18, 6, 180, 1370, 1260, 25270, 163800, 283752, 4338180, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,4],[0,0,1,0],[0,0,0,0],[0,3,0,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[0],[-1]]].
CGKS20:P^1 x MM^3_{2-28}33201, 0, 2, 18, 30, 360, 2090, 7560, 88270, 443520, 2633652, 24047100, …period: [1,0,2,18,30,360,2090,7560,88270,443520,2633652,24047100,130619874,965260296,7470614580,45919701828,359769382830,2596100528736,17689921035644,137737762416540,982375933524700,7134912281399760,54566592643415580,394714348117895520,2958556281717803650,22374959738357781360,165120898169323160300,1253705554066177585620,9459229956217797414780,70996327217529186060000,541686175195080246665940,4100739795481604571766800]
CGKS20:BOS^4_7343521, 0, 2, 18, 54, 180, 2090, 11340, 47110, 405720, 2803752, 14871780, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,2,4],[0,0,0,0],[0,0,0,0],[0,2,1,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[1],[-1]]].
CGKS20:Str_222401, 0, 2, 30, 54, 600, 6590, 26040, 265510, 2493120, 14553252, 140314020, …period: [1,0,2,30,54,600,6590,26040,265510,2493120,14553252,140314020,1239359814,8893324440,82878995628,721703362380,5780200358790,52925050120800,463213492458860,3936297686117940,35791973098399804,316731431332807920,2781762360458422068,25276351951563055200,226245918112515355366,2025976558683506067600,18456135516352559063300,166856914420415409040500,1512636160989598195259700,13834846274267452903702800,126111042548821100593145340,1152959516669728090040500800]
CGKS20:P^1 x MM^3_{2-36}34961, 0, 4, 0, 36, 60, 400, 3360, 4900, 113400, 82404, 3104640, …period: [1,0,4,0,36,60,400,3360,4900,113400,82404,3104640,3847536,75675600,223670304,1720839120,10544004900,39407287920,411741873400,1075169066400,14020020793636,39179841420720,433369114227504,1675391758840800,12683759878347376,71257319028255360,373251745192270000,2824751970501027840,11882652596216100000,103639487149009899360,425593808755238070000,3572327767871399544000]
CGKS20:BOS^4_4334641, 0, 4, 0, 36, 120, 400, 5040, 4900, 151200, 176904, 3880800, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,1,3],[0,0,0,0],[0,0,0,0],[0,1,1,0]].
CGKS20:P^1 x MM^3_{3-29}44001, 0, 4, 0, 60, 60, 1480, 3360, 41020, 128520, 1266804, 5183640, …period: [1,0,4,0,60,60,1480,3360,41020,128520,1266804,5183640,43884456,215495280,1631572800,8985696720,63585753660,378916858320,2583428659240,16218092301840,108405691082260,703140770972640,4659370349819640,30846660276191760,204101284711465960,1368661079179954560,9078503376310202800,61365795220491128640,408853015081796131200,2777670248537572315200,18602841650984912980080,126818000203707735602400]
CGKS20:BOS^4_3643841, 0, 4, 0, 60, 120, 1480, 5040, 41020, 196560, 1361304, 8038800, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,2],[0,0,1,1,0],[0,0,0,0,0],[0,0,0,0,0],[0,3,1,2,0]], and sequence of generalised partitions [[[0],[0],[1],[-1]],[[0],[1],[0],[0]]].
CGKS20:BOS^4_345581, 0, 4, 6, 36, 120, 490, 3360, 8260, 97440, 252504, 2614920, …period: [1,0,4,6,36,120,490,3360,8260,97440,252504,2614920,9537066,70053984,347273784,1950544596,12038778180,58670493024,400860659056,1931070820536,13084103248216,67453440088320,428402601356184,2409083323039536,14313700130022826,86069142651198720,492062657069441800,3056324938414582380,17378216820618763320,108193869649749977520,625621647746497216140,3842183124601233940800]
CGKS20:BOS^4_2245051, 0, 4, 6, 36, 120, 850, 2100, 25060, 67200, 680904, 2614920, …period: [1,0,4,6,36,120,850,2100,25060,67200,680904,2614920,19765746,90594504,646192404,3047840796,21991921380,108267560544,756175619056,3991284976536,26738883415816,148189158992160,975090321334584,5543968269592896,36212813041098226,210266505030288720,1361215171044587200,8067753108226188780,51811115409863382420,312042770161309007520,1995524594311552114500,12157221234632481590400]
CGKS20:BOS^4_544781, 0, 4, 6, 36, 180, 490, 5460, 14980, 150360, 624204, 4194960, …period: [1,0,4,6,36,180,490,5460,14980,150360,624204,4194960,24505866,129513384,893399364,4579490916,31529929860,176026531824,1127522635096,6912266251176,41967316346956,270334173663840,1628335925745984,10550340930602616,64929156824545546,415230163072792080,2622432168790549600,16598609497902033420,106522706806260714180,674213929638631289880,4348625179558551160140,27722773906752245565600]
CGKS20:BOS^4_943821, 0, 4, 6, 36, 180, 1210, 6720, 48580, 271320, 1783404, 10847760, …period: [1,0,4,6,36,180,1210,6720,48580,271320,1783404,10847760,69911226,454918464,3031235064,20282177916,137726580420,932969919024,6377313421336,43684644613896,301110331334956,2085228736425120,14511749432229504,101385438907666056,711003054649340986,5000834188617334080,35278488233501228200,249522661823533385820,1769417260557893943480,12577475138190974992680,89607983628704152873860,639763414791533882676000]
CGKS20:BOS^4_9544471, 0, 4, 6, 36, 240, 490, 7140, 18340, 188160, 869904, 5109720, …period: [1,0,4,6,36,240,490,7140,18340,188160,869904,5109720,36148266,168432264,1337362884,6727356636,47565949860,285271587744,1755933898576,11857611627576,69731961194896,480138778753920,2924582981569704,19408895657504496,124967064030782506,801486583197727440,5333714074766850400,34015955608886220060,227243475381319526340,1471679411029021425840,9737834840898936968340,64228019713862941224000]
CGKS20:P^2 x P^1 x P^134321, 0, 4, 6, 36, 240, 490, 7560, 14980, 203280, 743904, 5220600, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,4],[0,0,0],[0,4,0]], and sequence of generalised partitions [[[0],[2]],[[1],[-1]]].
CGKS20:BOS^4_2544091, 0, 4, 6, 36, 240, 850, 7140, 35140, 218400, 1399104, 7881720, …period: [1,0,4,6,36,240,850,7140,35140,218400,1399104,7881720,53029746,321945624,2078983764,13613836236,86820685380,580746607584,3786914209936,25242718242456,168602785876096,1125263763898560,7604612948021544,51219258235578576,347705658091365106,2364861181082827440,16121174490271022800,110380754415904484460,756520341835223057940,5203032379277965063440,35849342044138173743700,247512441983008536367200]
CGKS20:BOS^4_10044151, 0, 4, 6, 60, 120, 1570, 4620, 44380, 188160, 1487304, 7327320, …period: [1,0,4,6,60,120,1570,4620,44380,188160,1487304,7327320,54563586,298882584,2112112860,12532515996,86128433820,535870736544,3640734484816,23382299963880,158039301345640,1037512142821440,7010270945943720,46709500833172320,316348426402045570,2130312034804203120,14477610543556109200,98265179758085403180,670421964923711157420,4578097010819438752800,31358029523555105897220,215180198099694635515200]
CGKS20:P^1 x MM^3_{3-30}44001, 0, 4, 6, 60, 180, 1570, 5460, 47740, 210840, 1581804, 8491560, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,3,1,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[1],[1],[0],[-2]]].
CGKS20:BOS^4_3443691, 0, 4, 6, 60, 180, 1570, 6720, 47740, 271320, 1682604, 11124960, …period: [1,0,4,6,60,180,1570,6720,47740,271320,1682604,11124960,66871266,466449984,2854995000,20193889716,127257041340,900231933744,5847663088696,41160568002840,274630603312780,1924705229921760,13111044963722160,91747777664760360,634419687653949730,4444176153518911680,31057367625351473800,218167043212947058620,1536058344491573519880,10830562360225147440600,76671011971434323696220,542790683219864565655200]
CGKS20:BOS^4_5654051, 0, 4, 6, 60, 240, 1210, 8400, 37660, 294000, 1424304, 10653720, …period: [1,0,4,6,60,240,1210,8400,37660,294000,1424304,10653720,59303706,409513104,2547247560,16741761036,111056697180,720691692864,4908338982976,32180262440040,220524100173520,1471991055369120,10086430942933800,68443768637861760,469301412972389530,3222387322959174240,22163961043464503800,153341744770051092060,1059787579911917270040,7368259610929571818800,51192625947709662327060,357227287986431531408400]
CGKS20:P^1 x MM^3_{3-26}43681, 0, 4, 6, 60, 240, 1570, 8820, 51100, 339360, 1978704, 13813800, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,3,1,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[1],[0],[1],[-2]]].
CGKS20:BOS^4_10243671, 0, 4, 6, 60, 240, 1570, 9660, 54460, 384720, 2205504, 15920520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,2],[0,0,0,1,0],[0,0,0,0,0],[0,0,1,0,0],[0,3,2,1,0]], and sequence of generalised partitions [[[0],[1],[0],[-1]],[[0],[1],[0],[0]]].
CGKS20:BOS^4_4443511, 0, 4, 6, 60, 240, 1930, 9660, 71260, 414960, 2885904, 18692520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,3,1,1],[0,0,0,0,0],[0,0,0,1,1],[0,1,0,0,0],[0,1,0,0,0]], and sequence of generalised partitions [[[1],[0],[0],[0]]].
CGKS20:BOS^4_4854421, 0, 4, 6, 84, 120, 1930, 4620, 56980, 157920, 1865304, 6218520, …period: [1,0,4,6,84,120,1930,4620,56980,157920,1865304,6218520,65827146,249873624,2470647036,10438824396,96652026900,445890285984,3918261723376,19406994533784,163246132627864,857482947715680,6959277487363656,38359670845857504,302352877424851786,1734359894524049520,13348377514922290000,79136486329523829180,597413747719093683420,3640073870918063705280,27053610518405825780580,168633499779652070268000]
CGKS20:P^1 x MM^3_{3-22}43201, 0, 4, 6, 84, 300, 2650, 13440, 97300, 619080, 4442004, 30501240, …period: [1,0,4,6,84,300,2650,13440,97300,619080,4442004,30501240,218675226,1566989424,11386493976,83671543956,618286099860,4613943054864,34552849827496,260888237531064,1976116123436884,15061390135506000,115152925634508216,884550240522189384,6814916987943958426,52699071141653008800,408637142641193277400,3178157585234501863500,24779319829956518311800,193684584548068145687400,1517265843430791574593900,11911478046397221897712800]
CGKS20:BOS^4_2953101, 0, 4, 6, 84, 360, 2650, 15120, 107380, 717360, 5141304, 36267000, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,0,0,0,2],[0,0,0,0,0,0],[0,0,0,1,1,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,2,3,1,2,0]], and sequence of generalised partitions [[[0],[0],[0],[1],[-1]],[[0],[0],[0],[1],[0]],[[1],[0],[1],[0],[-2]]].
CGKS20:P^1 x MM^3_{3-31}44161, 0, 4, 12, 36, 360, 940, 8400, 45220, 210000, 1764504, 8112720, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,4],[0,0,0,0],[0,0,0,0],[0,3,1,0]], and sequence of generalised partitions [[[0],[0],[2]],[[2],[0],[-2]]].
CGKS20:F_1 x F_14384F_1 x F_1 (Fano index r=1)
CGKS20:S^2_7 x P^24378S^2_7 x P^2 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-31}33681, 0, 4, 12, 36, 420, 940, 11760, 51940, 323400, 2539404, 11910360, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,1,0],[0,0,0,0],[0,3,2,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[1],[-2]]].
CGKS20:BOS^4_5454051, 0, 4, 12, 60, 300, 1660, 10080, 51100, 368760, 1972404, 13739880, …period: [1,0,4,12,60,300,1660,10080,51100,368760,1972404,13739880,83316156,554521968,3604183440,23834522712,160339530780,1067138714928,7304959216984,49297283212320,339793514263060,2327930278021920,16120993751608200,111733719807103680,777916327268745340,5436641332243180800,38068102850396024800,267686356122710990400,1884855525736772617200,13318319637226798068000,94253400817119745121160,668769116812269571738800]
CGKS20:BOS^4_5853731, 0, 4, 12, 60, 300, 2020, 10080, 67900, 429240, 2652804, 18036480, …period: [1,0,4,12,60,300,2020,10080,67900,429240,2652804,18036480,118492836,798846048,5455713120,37607481912,259731143100,1821925707888,12789821479864,90470139336720,643561366479460,4595737897779600,32969240165687280,237477078295691520,1716322880890922980,12445794628055848800,90535468727264767600,660351489400042190400,4829561720464748659200,35406954260195297253600,260168886572847111776520,1915800530595612112983600]
CGKS20:P^1 x MM^3_{3-25}43521, 0, 4, 12, 60, 360, 2020, 10920, 81340, 451920, 3200904, 21141120, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,0],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,2],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[0],[1]],[[1],[0],[1],[-1]]].
CGKS20:BOS^4_6653321, 0, 4, 12, 60, 360, 2020, 13440, 77980, 572880, 3503304, 25576320, …period: [1,0,4,12,60,360,2020,13440,77980,572880,3503304,25576320,171049956,1220467248,8629043280,61690460832,447399423900,3239415942048,23811893701024,174750025198320,1296235290561640,9624267560656320,71919450892554720,538961777306546880,4054689223482242020,30606948908455539360,231679264533764368000,1759156516022848260240,13388767905807143561520,102169757617799407737600,781320159449941986573120,5988208876797940413904800]
CGKS20:P^1 x MM^3_{3-23}43361, 0, 4, 12, 60, 420, 2020, 14280, 88060, 580440, 3975804, 27017760, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,1,0],[0,0,0,0,0],[0,0,1,0,0],[0,3,1,1,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[1],[1],[0],[-2]]].
CGKS20:BOS^4_2853211, 0, 4, 12, 60, 420, 2020, 16380, 88060, 686280, 4379004, 31480680, …period: [1,0,4,12,60,420,2020,16380,88060,686280,4379004,31480680,224937636,1586232648,11801112180,84913981152,637039594620,4708071530448,35426998842664,267079179407040,2021928092976220,15427761250249920,117786016689006120,905582723097006240,6971902278302306020,53919951631710343920,418053876674633033800,3250511199811615424880,25345233519146883473940,198045539064951650310000,1551460240999743233839920,12177155500369819374906000]
CGKS20:BOS^4_6553311, 0, 4, 12, 84, 420, 2380, 17640, 100660, 746760, 4807404, 35222880, …period: [1,0,4,12,84,420,2380,17640,100660,746760,4807404,35222880,244517196,1775421648,12925231176,94650908352,704329977780,5234770823568,39449962335784,297387792990288,2261461587228844,17244704154746640,132180209780180016,1016899944986447808,7850486164005325516,60822188537725480320,472534136755569414400,3682392916381340332080,28767016387489791063240,225302614172924844546480,1768491517963603549697280,13911617143528697884158000]
CGKS20:BOS^4_8053251, 0, 4, 12, 84, 420, 2740, 17640, 117460, 807240, 5639004, 40351080, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,1,1,1,2],[0,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,0],[0,0,0,1,0,0],[0,2,1,0,0,0]], and sequence of generalised partitions [[[1],[0],[1],[0],[-1]]].
CGKS20:P^1 x MM^3_{3-19}43041, 0, 4, 12, 84, 480, 3100, 20160, 137620, 981120, 7018704, 51466800, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,1,0],[0,0,0,0],[0,3,2,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[2],[-2]]].
CGKS20:BOS^4_5053941, 0, 4, 18, 36, 480, 1750, 10500, 82180, 367920, 2911104, 18212040, …period: [1,0,4,18,36,480,1750,10500,82180,367920,2911104,18212040,108816246,823134312,5070692484,35250042828,248651154180,1635016386432,11788340010304,81362599337448,566512448197696,4070527475277120,28427166926888184,203565666485280528,1457424902974399606,10377955598838668880,75054656491642142800,539571164867894397420,3898588729707589919940,28315548670530207577680,205177103048947478022900,1495326845066038829316000]
CGKS20:BOS^4_6853631, 0, 4, 18, 36, 480, 2110, 10500, 95620, 458640, 3289104, 24033240, …period: [1,0,4,18,36,480,2110,10500,95620,458640,3289104,24033240,139335966,1065296232,7250149764,48417597228,362997706500,2488262380032,17826096855424,130937637329928,925377643514896,6805635663409440,49742152129359144,361215035496654768,2679183538360368286,19693079164858940880,145543891915515809200,1084150769541717344220,8041831099171803499140,60050863591245259624080,449308603793520976348260,3361344324624520687360800]
CGKS20:BOS^4_5953411, 0, 4, 18, 60, 480, 2830, 15540, 114940, 745920, 4952304, 36091440, …period: [1,0,4,18,60,480,2830,15540,114940,745920,4952304,36091440,250641006,1793223432,13173363060,95714847228,707759523900,5283806971872,39453164546224,297549879798600,2254807825475920,17140410383038800,131059208629854960,1005541077785896080,7740383676935252590,59810621044431126480,463456845188343012400,3601325286110033405820,28061955179460537885540,219175183153761566634000,1715801467615596631828980,13461256187938880635032000]
CGKS20:P^1 x MM^3_{2-27}33041, 0, 4, 18, 60, 600, 2830, 19740, 151900, 897120, 7258104, 51032520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[1],[0]],[[0],[1],[0]]].
CGKS20:BOS^4_5353301, 0, 4, 18, 84, 480, 3190, 20580, 130900, 942480, 6539904, 46763640, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,1,1,4],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,1,0,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[1],[0],[1],[-1]]].
CGKS20:BOS^4_6953101, 0, 4, 18, 84, 480, 3550, 20580, 147700, 1048320, 7371504, 54386640, …period: [1,0,4,18,84,480,3550,20580,147700,1048320,7371504,54386640,404856606,3027816792,23051887716,177066117228,1366957062900,10660040874912,83593318913104,659107966240152,5226317150941744,41633885372061840,333030881268046416,2674838211056174592,21559771425340387486,174347481338520388080,1414253858408038945600,11504322046712514200220,93827801339086139059140,767127839804758832112720,6286274871527424488897700,51623282236007129693446800]
CGKS20:BOS^4_8452991, 0, 4, 18, 84, 600, 3550, 25620, 174580, 1275120, 9450504, 70602840, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,2,2,1,1],[0,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,1,0,0,0,0]], and sequence of generalised partitions [[[1],[0],[0],[0],[0]]].
CGKS20:P^1 x MM^3_{3-14}42561, 0, 4, 18, 132, 780, 6070, 42420, 330820, 2673720, 21376404, 175523040, …period: [1,0,4,18,132,780,6070,42420,330820,2673720,21376404,175523040,1473453366,12456275832,106542927348,921085793628,8019255275460,70346774941872,621339118721464,5518136614995576,49263838100511892,441929199075386880,3981222769840029168,36006447962414677176,326822414814555026614,2976276365225075668080,27186867450004647721600,249042885254901311191020,2287323777642266499730740,21059213202109410450602760,194333551774467307121885220,1797132991760248715991802800]
CGKS20:P^1 x MM^3_{3-9}42081, 0, 4, 36, 228, 1560, 15340, 122640, 1120420, 10730160, 98330904, 950629680, …period: [1,0,4,36,228,1560,15340,122640,1120420,10730160,98330904,950629680,9428374956,92532664224,926990118912,9413931583056,95804120283300,984505122647904,10194095951586976,106000162498655568,1108821788650572568,11657367204094978080,123030214224050510832,1303861318786730534688,13869434848972129178284,148003909619854966416960,1584337898784721903608400,17008604264747266099334640,183071453247070839033989760,1975366790839852674940378080,21363606356268984543095707440,231541754446176237773432611200]
CGKS20:BOS^4_3843851, 0, 6, 0, 90, 120, 1860, 7560, 44730, 362880, 1285956, 15800400, …period: [1,0,6,0,90,120,1860,7560,44730,362880,1285956,15800400,47464956,655134480,2185017120,26548682160,111921625530,1076138743680,5843944932540,44686793305440,299835378954540,1940871886153200,14994178662120840,89072442995936400,733692442112639100,4300501773076629120,35428866827751495000,215255944708223721120,1705080721329233550000,10986515069432719471200,82541628672790125695760,564632504343742086655200]
CGKS20:P^1 x P^1 x F_14384P^1 x P^1 x F_1 (Fano index r=1)
CGKS20:P^1 x MM^3_{4-13}53681, 0, 6, 6, 114, 240, 3390, 9660, 122850, 440160, 4977756, 21441420, …period: [1,0,6,6,114,240,3390,9660,122850,440160,4977756,21441420,219012486,1083818736,10255063104,56274694476,503231144130,2985868787616,25605596481036,161272418459724,1340931838799124,8841640302168960,71878183511716764,490976735034295224,3927245227058434086,27569459868015443040,218008325406295887300,1563363177956403956340,12264544268453722262040,89429626077083353827360,697832504428695680464740,5155777998506560007289600]
CGKS20:P^1 x MM^3_{3-24}43361, 0, 6, 6, 114, 300, 3390, 14280, 126210, 704760, 5475456, 35911260, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[1],[0],[0],[0]]].
CGKS20:BOS^4_3353051, 0, 6, 6, 114, 360, 3750, 18480, 159810, 969360, 7837956, 53319420, …period: [1,0,6,6,114,360,3750,18480,159810,969360,7837956,53319420,420509166,3058231176,23983878204,181504359036,1428354543330,11081340331776,87813392291196,692713090416204,5532013307996604,44166512431675920,355340262941606124,2863167709139687664,23190979561551442446,188242447483148956560,1533843171279671629500,12526340847127000270260,102605113343322403195860,842275974406632477521040,6931177188975194630255100,57151441592297099380843200]
CGKS20:BOS^4_453641, 0, 6, 12, 90, 420, 2760, 17220, 122010, 842520, 6092856, 43797600, …period: [1,0,6,12,90,420,2760,17220,122010,842520,6092856,43797600,319079376,2342772432,17321398380,129462405072,974299141530,7399405336752,56541215820804,434929482547560,3361974188601600,26114620167344280,203652434915748000,1594279628817206760,12522936791983029360,98685608851574053920,779984886222783939600,6182055847910884955520,49125159504180568213740,391317155074375983482400,3124171943394664455641160,24995372007364755459426000]
CGKS20:BOS^4_2353541, 0, 6, 12, 90, 480, 2760, 20160, 128730, 955920, 6691356, 49147560, …period: [1,0,6,12,90,480,2760,20160,128730,955920,6691356,49147560,359495136,2664213552,19963738080,150612413952,1148384733210,8809821944352,68092143729324,529156428217560,4134010169898180,32444706341155680,255689894875353120,2022782311366708320,16058139878946977760,127896002657582028480,1021692635358984601200,8184619056723335690880,65736136320193153640160,529250334301988581766400,4270705050352287773756160,34534722830430403207900800]
CGKS20:P^1 x MM^3_{4-12}53521, 0, 6, 12, 90, 540, 2400, 21420, 101850, 857640, 5173056, 37532880, …period: [1,0,6,12,90,540,2400,21420,101850,857640,5173056,37532880,268933896,1838268432,14004284580,97692226632,742501175130,5411185342992,40608292654644,305670881510280,2291758432409160,17510933136925800,132509013760141200,1017785596883707080,7791823321663753320,60038273595377507040,463888365959048356800,3589588216173133003440,27906398784391415187780,217054757342313288190800,1694730249097029349848000,13247870183331199556997600]
CGKS20:S^2_7 x F_15336S^2_7 x F_1 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-29}33201, 0, 6, 12, 90, 600, 2400, 26040, 108570, 1107120, 6199956, 49923720, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,5],[0,0,0,0],[0,0,0,0],[0,2,2,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[0],[0]]].
CGKS20:BOS^4_9653341, 0, 6, 12, 114, 480, 3840, 22680, 171570, 1182720, 8808156, 64947960, …period: [1,0,6,12,114,480,3840,22680,171570,1182720,8808156,64947960,488845896,3724392672,28566035784,222100630752,1734012616050,13681876171392,108371354724204,864955691985528,6929894635725204,55831732725637440,451446494901764544,3665959852066010928,29867630910847037256,244177523019689014080,2002084708179096990000,16462754215038005796480,135718839201468399595560,1121605987427862551637120,9290118170700696038448240,77112701308574035815506400]
CGKS20:P^1 x MM^3_{4-10}53201, 0, 6, 12, 114, 540, 3840, 23940, 171570, 1175160, 8675856, 62896680, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,1,2,3,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,1,0,0,3],[0,2,0,0,0,0]], and sequence of generalised partitions [[[0],[0],[0],[-2],[2]],[[0],[0],[1],[1],[0]],[[1],[1],[0],[0],[-1]]].
CGKS20:P^1 x MM^3_{3-20}43041, 0, 6, 12, 114, 600, 3840, 28560, 178290, 1439760, 9702756, 77920920, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,1,0,0],[0,2,1,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[0],[1],[0],[0]]].
CGKS20:P^1 x MM^3_{3-17}42881, 0, 6, 12, 138, 600, 5280, 31080, 254730, 1772400, 14188356, 107304120, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[1],[0]]].
CGKS20:S^2_6 x P^25324S^2_6 x P^2 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-18}42881, 0, 6, 18, 114, 840, 4650, 38220, 260610, 1985760, 15549156, 118766340, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,1],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[0],[1],[1],[-1]]].
CGKS20:BOS^4_5762981, 0, 6, 18, 138, 780, 5730, 39480, 300090, 2250360, 17672256, 139390020, …period: [1,0,6,18,138,780,5730,39480,300090,2250360,17672256,139390020,1123400586,9141900768,75315142188,625941223908,5247450904410,44303272638768,376532911890564,3218537857201524,27656925016025448,238777844575653240,2070413639589181068,18022850615187258984,157454468299003830474,1380144956401277988480,12134538156284123078700,106992118765752764677380,945851514985300945941540,8382198677051202287450040,74453663368546345707649380,662740229806853362497684000]
CGKS20:P^1 x MM^3_{3-16}42721, 0, 6, 18, 138, 900, 6090, 46620, 347130, 2749320, 21943656, 178835580, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,3,1,0]], and sequence of generalised partitions [[[0],[0],[1],[0]],[[0],[1],[0],[0]]].
CGKS20:P^1 x MM^3_{2-25}32561, 0, 6, 24, 114, 1200, 5820, 57120, 406770, 3181920, 28136556, 216271440, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[2],[-2]],[[1],[0],[1]]].
CGKS20:BOS^4_4963081, 0, 6, 24, 138, 960, 6180, 46200, 328650, 2546880, 19593756, 154788480, …period: [1,0,6,24,138,960,6180,46200,328650,2546880,19593756,154788480,1245264636,10097431344,83163963168,689847862704,5778923526090,48751164468864,414039301122876,3537748514366352,30385642042389348,262271462610574560,2273553730750688568,19788138802023566832,172857057329448736764,1515049428269186091360,13320269217088363157400,117446942093150364452160,1038308225632358591712240,9202052875515497362522080,81742111537034850146243280,727686519270324531777331200]
CGKS20:BOS^4_5562981, 0, 6, 24, 138, 960, 6540, 46200, 352170, 2667840, 21030156, 167816880, …period: [1,0,6,24,138,960,6540,46200,352170,2667840,21030156,167816880,1362270756,11200132944,93138007248,781945067904,6621541782570,56486052589824,485086830795996,4190347537442352,36390801321651348,317551200078889920,2783093670618527448,24488767764076750992,216265091379494401764,1916278691561683731360,17032227392630709887400,151818517068040353860160,1356843057599114146808640,12156436217027088361932480,109164899453372019383120640,982415290896857058787490400]
CGKS20:BOS^4_6362781, 0, 6, 24, 138, 1080, 6540, 53760, 392490, 3121440, 25377156, 205516080, …period: [1,0,6,24,138,1080,6540,53760,392490,3121440,25377156,205516080,1729837956,14521931424,124182660888,1070255650464,9292789561770,81419115945024,717067532869116,6357448796439312,56644551239773068,507121514419737360,4560225756366826728,41165198422064731872,372974364423654558084,3390451195854542021280,30915454597773583923000,282703215683332967153280,2591971365639522145506120,23823228072902376990443040,219465509852971080096283440,2026120552816119231101832000]
CGKS20:BOS^4_6462681, 0, 6, 24, 162, 960, 7980, 53760, 445410, 3454080, 28766556, 237116880, …period: [1,0,6,24,162,960,7980,53760,445410,3454080,28766556,237116880,2022099156,17254901664,150026382792,1310867061504,11581898263650,102913612648704,921399912423276,8292611884038768,75055720103736372,682403763104880960,6232141488221819352,57136029138588711168,525745951109858883924,4853703261164402698560,44948214969937401987000,417428009629552888380960,3886873385714981754278040,36281475734306830986409920,339443106707821581814276080,3182588564807295449511494400]
CGKS20:P^1 x MM^3_{2-24}32401, 0, 6, 24, 186, 1260, 10140, 78120, 666330, 5638920, 49197456, 437809680, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,0,0],[0,0,0,0],[0,2,4,0]], and sequence of generalised partitions [[[0],[1],[-1]],[[0],[1],[1]]].
CGKS20:BOS^4_3953071, 0, 8, 0, 168, 120, 5120, 10080, 190120, 665280, 8052408, 41025600, …period: [1,0,8,0,168,120,5120,10080,190120,665280,8052408,41025600,377672064,2473511040,19263994464,148250182080,1052460775080,8901268696320,60699513754880,537719685909120,3646714940093368,32769449767454400,225689170567695744,2017983714274207680,14265618389368737664,125690037779195809920,915332096983893276800,7920440350609076559360,59370732974168768930400,504863013798858303912960,3882436353695747229923520,32532398548666508444198400]
CGKS20:S^2_7 x P^1 x P^15336S^2_7 x P^1 x P^1 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-21}43041, 0, 8, 6, 192, 360, 7010, 21000, 316960, 1281840, 16343208, 81293520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,1,3],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,3,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[0],[1],[0],[-1]]].
CGKS20:P^1 x MM^3_{4-9}53041, 0, 8, 12, 168, 720, 5660, 39480, 264040, 2200800, 14995008, 128491440, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,1],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[2],[0]],[[0],[1],[0],[0]]].
CGKS20:S^2_7 x S^2_76294S^2_7 x S^2_7 (Fano index r=1)
CGKS20:P^1 x MM^3_{4-8}52881, 0, 8, 12, 192, 720, 7460, 42000, 377440, 2593920, 22227408, 169517040, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,1,2,2,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,1,0,0,4],[0,2,0,0,0,0]], and sequence of generalised partitions [[[0],[0],[0],[-1],[1]],[[0],[0],[1],[-1],[1]],[[0],[1],[0],[-1],[1]]].
CGKS20:P^1 x MM^3_{2-26}32721, 0, 8, 12, 192, 780, 7460, 47880, 384160, 3039960, 23506308, 202004880, …period: [1,0,8,12,192,780,7460,47880,384160,3039960,23506308,202004880,1593522084,14045967936,114830337336,1017625841232,8602661152800,76355827472496,662366273930504,5896214948505024,52092544716572932,465959979518542080,4169263158689896176,37515251482452236064,338714425768525480804,3066587763885599410080,27875655900939666375200,253848594227300845865040,2320094345877921484393560,21238790281083109858194960,195010135846127770470309360,1793417281692795529155871200]
CGKS20:S^2_6 x F_16288S^2_6 x F_1 (Fano index r=1)
CGKS20:P^1 x MM^3_{5-2}62881, 0, 8, 18, 192, 1020, 7910, 57120, 434560, 3475080, 27513108, 228994920, …period: [1,0,8,18,192,1020,7910,57120,434560,3475080,27513108,228994920,1886751174,16056344304,136334820336,1179420790548,10232060604480,89734249731984,790696934068184,7015356514170576,62546919540437332,560418068546278800,5043207229434320856,45562508708049291816,413159231452101607174,3758862742041649026720,34304994095320968003200,313968091772413201310460,2881219634667259925470560,26505364228269231161901240,244397177641060935953988060,2258357636813166461650161600]
CGKS20:P^1 x MM^3_{4-7}52721, 0, 8, 18, 192, 1080, 8270, 63000, 484960, 3981600, 32572008, 274649760, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1,1], adjacency matrix [[0,0,0,2,2,0],[0,0,0,0,0,0],[0,0,0,0,0,2],[0,0,1,0,0,0],[0,0,1,0,0,0],[0,2,0,0,0,0]], and sequence of generalised partitions [[[0],[0],[0],[0],[1]]].
CGKS20:P^1 x MM^3_{3-15}42561, 0, 8, 18, 216, 1140, 10070, 72660, 615160, 5032440, 43250508, 374913000, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,2],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[0],[1],[0],[0]]].
CGKS20:P^1 x MM^3_{4-5}52561, 0, 8, 24, 216, 1440, 10880, 89040, 719320, 6185760, 53349408, 472921680, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,2],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,1],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[0],[1],[1],[-1]]].
CGKS20:P^1 x MM^3_{2-22}32401, 0, 8, 24, 216, 1560, 11240, 100800, 789880, 7198800, 62333208, 568666560, …period: [1,0,8,24,216,1560,11240,100800,789880,7198800,62333208,568666560,5217463944,48365789472,456498776448,4320604352064,41450057134200,399362429555232,3879211067862416,37883026106063424,371912666706185176,3669533337785652480,36354619715115881088,361673612377817460864,3610740147978520992136,36170632967288686551360,363448761013852420901600,3662445827548729121484480,37004323897757502570579840,374801072951278878540000960,3804974752207486195359771840,38711073064676998324818585600]
CGKS20:P^1 x MM^3_{3-13}42401, 0, 8, 24, 240, 1560, 13040, 105840, 913360, 8015280, 72236808, 661528560, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,3,4,0]], and sequence of generalised partitions [[[0],[0],[1],[-1]],[[0],[0],[1],[0]],[[0],[1],[0],[0]],[[0],[1],[1],[-2]]].
CGKS20:P^1 x MM^3_{3-11}42241, 0, 8, 30, 264, 1980, 16370, 142800, 1275400, 11769240, 110698308, 1062766320, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,3],[0,0,0,0,0],[0,0,0,1,0],[0,0,0,0,0],[0,2,3,1,0]], and sequence of generalised partitions [[[0],[0],[0],[2]],[[1],[1],[1],[-3]]].
CGKS20:P^1 x MM^3_{2-18}31921, 0, 8, 48, 360, 3360, 31040, 295680, 3039400, 30999360, 327878208, 3531454080, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,2,0],[0,0,0,0],[0,3,1,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[2],[-2]]].
CGKS20:BOS^4_4062301, 0, 10, 0, 270, 240, 10900, 25200, 551950, 2116800, 32458860, 169092000, …period: [1,0,10,0,270,240,10900,25200,551950,2116800,32458860,169092000,2120787900,13427013600,149506414200,1075081207200,11143223412750,87198375264000,865743970019500,7171730187336000,69416724049550020,597885543267012000,5703790739973089400,50476068608447882400,477840968079726787900,4310696367543640314240,40664593024397846455000,371982417349841495870400,3505665045377594528901000,32400933852409652978884800,305523109476020539485594000,2846035547961027156841176000]
CGKS20:S^2_6 x P^1 x P^16288S^2_6 x P^1 x P^1 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-23}32401, 0, 10, 12, 318, 960, 15760, 74760, 983710, 6091680, 70788060, 518465640, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,5],[0,0,0,0],[0,0,0,0],[0,2,1,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[1],[1]]].
CGKS20:S^2_6 x S^2_77252S^2_6 x S^2_7 (Fano index r=1)
CGKS20:P^1 x MM^3_{4-6}52561, 0, 10, 18, 294, 1320, 14050, 94080, 882070, 7096320, 64752660, 568162980, …period: [1,0,10,18,294,1320,14050,94080,882070,7096320,64752660,568162980,5218971450,47860492680,446590741740,4200831703068,39832426074870,381027320662560,3663474722391484,35482099730678172,345085673503712284,3375443194408908480,33138282700374355140,326796441813193933152,3233351641731054197146,32106509595875518068720,319744315724028593147500,3193784246561100421472100,31983772681222437834802260,321106590716362984206308880,3231151994864017069517252700,32584526393929346525182678800]
CGKS20:P^1 x MM^3_{4-4}52401, 0, 10, 24, 318, 1800, 17380, 135240, 1249150, 11019120, 103384260, 967243200, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,2],[0,0,0,1,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,4,1,0]], and sequence of generalised partitions [[[0],[1],[1],[-2]],[[0],[2],[0],[-2]]].
CGKS20:P^1 x MM^3_{2-21}32241, 0, 10, 24, 342, 1920, 19900, 154560, 1507030, 13453440, 131494860, 1256473680, …period: [1,0,10,24,342,1920,19900,154560,1507030,13453440,131494860,1256473680,12493916820,124034470560,1256206568760,12779275533024,131524256545110,1361222314383360,14197995499386556,148868659809471888,1569896064176194612,16631161238480405760,176985079854272693640,1890792553299051861888,20274959182646639963284,218132343196067811501120,2354144937190931445608200,25479197493707490990381600,276500683465246356823156680,3008012737655282318304080640,32799480553118828236229470800,358419275209735538362177680000]
CGKS20:P^1 x MM^3_{3-12}42241, 0, 10, 30, 342, 2340, 21070, 186060, 1703590, 16295160, 156650760, 1553766060, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,0,2],[0,0,0,1,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,3,2,0]], and sequence of generalised partitions [[[0],[1],[1],[-2]],[[0],[1],[1],[-2]]].
CGKS20:P^1 x MM^3_{2-19}32081, 0, 10, 30, 342, 2520, 21430, 208740, 1814470, 18737040, 176262660, 1830716580, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,2,4],[0,0,0,0],[0,0,0,0],[0,2,1,0]], and sequence of generalised partitions [[[0],[1],[1]],[[0],[1],[1]]].
CGKS20:P^2 x S^2_56270P^2 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-20}32081, 0, 10, 36, 390, 2940, 27640, 255360, 2496550, 24844680, 253859760, 2635839360, …period: [1,0,10,36,390,2940,27640,255360,2496550,24844680,253859760,2635839360,27823192320,297383126040,3215209895040,35097835508736,386426266868070,4286532868434960,47867589909501076,537727168743284520,6073041135027295000,68920691448862058520,785595279251805466080,8990542612209835694160,103267611154978144756960,1190158221430623761275440,13759222497599947575394600,159525746589969372506727600,1854493973561476761905060640,21612115971466473109402620000,252449202119350214659886094240,2955223135736930592396756151200]
CGKS20:S^2_6 x S^2_68216S^2_6 x S^2_6 (Fano index r=1)
CGKS20:P^1 x MM^3_{4-3}52241, 0, 12, 24, 444, 2160, 26760, 191520, 2092860, 18060000, 190072512, 1808341920, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,2,4],[0,0,0,0],[0,0,0,0],[0,2,1,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[2],[0]]].
CGKS20:F_1 x S^2_57240F_1 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-10}42081, 0, 12, 36, 492, 3360, 35220, 319200, 3280620, 33122880, 349361712, 3714424560, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,2],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,2,1,0]], and sequence of generalised partitions [[[0],[0],[2],[0]],[[1],[0],[1],[-1]]].
CGKS20:P^1 x MM^3_{5-1}62241, 0, 12, 42, 468, 3480, 32430, 300300, 2901780, 28921200, 293707512, 3047010120, …period: [1,0,12,42,468,3480,32430,300300,2901780,28921200,293707512,3047010120,32072897934,342320882904,3695218631676,40287675399972,443070629644500,4909996297350144,54781035341507904,614889787939671816,6939325900553626008,78697231486822908960,896452019341899032376,10252950841360811840256,117699838537559660032014,1355742561864560564101680,15665259932070260941170000,181532649862458353230977660,2109296277503442494413870860,24569972192005804310364026640,286868471327311760267424467580,3356650210984058074618339315200]
CGKS20:P^1 x MM^3_{2-17}31921, 0, 12, 42, 540, 4140, 43230, 423360, 4461660, 47738040, 522681012, 5841019800, …period: [1,0,12,42,540,4140,43230,423360,4461660,47738040,522681012,5841019800,66112891614,759765150144,8817305725800,103429982587932,1223033904815580,14576498560928304,174867311775729144,2110621938789850200,25611432411209647860,312307598542912212240,3825133929497979254520,47039509403637487256520,580604106025136085599070,7190668467449117340056640,89333664048988617203505000,1113052681225196437350550380,13905296748323595691340707080,174151560848400670683953082600,2186170881112164653294058122580,27503284687488017104147816831200]
CGKS20:P^1 x MM^3_{3-7}41921, 0, 12, 48, 564, 4680, 48000, 486360, 5186580, 56516880, 630354312, 7157137680, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[1],[1]],[[0],[1],[1],[0]]].
CGKS20:P^1 x MM^3_{2-16}31761, 0, 12, 60, 636, 6120, 63300, 693000, 7764540, 89572560, 1056990312, 12679793280, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,3,3],[0,0,0,0],[0,0,0,1],[0,2,0,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[1],[1]]].
CGKS20:P^1 x P^1 x S^2_57240P^1 x P^1 x S^2_5 (Fano index r=1)
CGKS20:S^2_7 x S^2_58210S^2_7 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-15}31761, 0, 14, 36, 714, 4320, 59720, 519120, 6418090, 66477600, 797947164, 9037856520, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,1,4],[0,0,0,0],[0,0,0,0],[0,3,1,0]], and sequence of generalised partitions [[[0],[1],[2]],[[1],[0],[-1]]].
CGKS20:P^1 x MM^3_{4-2}52081, 0, 14, 42, 618, 4200, 46490, 425880, 4558330, 47045040, 513426564, 5609451540, …period: [1,0,14,42,618,4200,46490,425880,4558330,47045040,513426564,5609451540,62824175106,709596335448,8127261554412,93884654956092,1094719172757210,12857578113027648,152067004159274204,1809202313345823396,21642945762938367868,260170583686336923600,3141480817572900043332,38085883561419309872256,463450222777944677836834,5658714811751383705705200,69309707644409272908662900,851390143229831748859598100,10486500748682094916116722100,129484599450434122550622834000,1602573557732446568416811305740,19877601612965437539980753630400]
CGKS20:P^1 x MM^3_{4-1}51921, 0, 14, 48, 690, 5280, 59540, 594720, 6637330, 73335360, 842525964, 9779209440, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,5,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[1],[-1]],[[0],[1],[0]],[[0],[2],[-2]]].
CGKS20:P^1 x MM^3_{3-8}41921, 0, 14, 54, 690, 5700, 61070, 631260, 6941410, 77709240, 891672264, 10413946620, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,3,3],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[0],[1],[2]],[[1],[0],[1],[-1]]].
CGKS20:P^1 x V^3_222176P^1 x V^3_22 (Fano index r=1)
CGKS20:S^2_6 x S^2_59180S^2_6 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-6}41761, 0, 16, 66, 936, 8280, 97630, 1086540, 13021960, 157654560, 1962666216, 24823777440, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1,1], adjacency matrix [[0,0,0,4,0],[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,2],[0,2,2,0,0]], and sequence of generalised partitions [[[0],[1],[2],[-1]],[[1],[0],[1],[-1]]].
CGKS20:P^1 x MM^3_{2-12}31601, 0, 16, 72, 1056, 9840, 122920, 1428000, 18098080, 229269600, 3006135216, 39870895680, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,5,0]], and sequence of generalised partitions [[[0],[1],[-1]],[[0],[1],[0]],[[0],[1],[0]],[[0],[1],[0]]].
CGKS20:P^1 x MM^3_{2-13}31601, 0, 16, 84, 1104, 11400, 137860, 1685040, 21436240, 279526800, 3723012216, 50488893840, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,5],[0,0,0,0],[0,0,0,0],[0,2,4,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[1],[-1]],[[0],[1],[0]],[[0],[1],[0]]].
CGKS20:P^1 x MM^3_{2-11}31441, 0, 16, 108, 1248, 15600, 188260, 2538480, 34125280, 476159040, 6779432016, 98004780720, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,1,0],[0,0,0,0],[0,3,2,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[2],[-3]]].
CGKS20:P^1 x MM^3_{2-14}31601, 0, 18, 90, 1302, 13260, 168570, 2089080, 27440070, 366208920, 5011116768, 69700346100, …period: [1,0,18,90,1302,13260,168570,2089080,27440070,366208920,5011116768,69700346100,984705232434,14089810054320,203891999490036,2979438979897380,43915216732989030,652242681443049840,9753452284527331380,146741918523272418060,2219898808830870748152,33749511198871277323800,515417878608001244566236,7903812874995168729535080,121659985753044932749737714,1879141964175970151912523360,29117513389266681269552993700,452508921186550586027899624980,7051553588721421386188784953100,110165016218368891344175791333720,1725157466664361287709002892320420,27075236107990625833755416965225200]
CGKS20:S^2_5 x S^2_510150S^2_5 x S^2_5 (Fano index r=1)
CGKS20:S^2_4 x P^27216S^2_4 x P^2 (Fano index r=1)
CGKS20:P^1 x V^3_182144P^1 x V^3_18 (Fano index r=1)
CGKS20:Str_32861, 0, 20, 156, 2700, 41040, 697700, 12503400, 228163180, 4343011680, 83689341120, 1651391372400, …period: [1,0,20,156,2700,41040,697700,12503400,228163180,4343011680,83689341120,1651391372400,32982568611300,668169876694320,13676347093523400,282673620810637056,5890820152594522860,123668590162971522240,2613237185586469469456,55543103249123026302480,1186771846155527037508960,25478153917295601623312640,549348508068734650724295120,11891657135739972880618998240,258350539925790047374208117860,5631484355883921198808075283040,123132275130034444106620517933600,2699961327635360438264102368467600,59359681095026770011569908489016040,1308262252783934484762295309783461600,28899881532343019067654950424412552800,639780458633548936732759213473985404000]
CGKS20:S^2_4 x F_18192S^2_4 x F_1 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-3}41441, 0, 22, 132, 2058, 24360, 345280, 4867800, 71961610, 1085053200, 16733382372, 262420204200, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[0],[2]],[[0],[2],[-1]]].
CGKS20:S^2_4 x P^1 x P^18192S^2_4 x P^1 x P^1 (Fano index r=1)
CGKS20:S^2_4 x S^2_79168S^2_4 x S^2_7 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-5}41601, 0, 24, 126, 1992, 21300, 290130, 3813600, 53418120, 759036600, 11072183724, 164163855240, …period: [1,0,24,126,1992,21300,290130,3813600,53418120,759036600,11072183724,164163855240,2473098336786,37738528171344,582493288682448,9079934104717476,142779062204630280,2262547817869523184,36101116242675688776,579591010861132244832,9356959003482032491692,151820227129720372663440,2474608630537400451815448,40503336115429722958054632,665471202908357007176113554,10972027483502817487817224800,181486407163483139691679624800,3010888364080534163544271344300,50089157892673932835468537686000,835423027058344591037986348476600,13967108643554213230396281239800380,234031965289558279732257247531548000]
CGKS20:P^1 x MM^3_{2-9}31281, 0, 24, 174, 2784, 37680, 578490, 9059820, 146986560, 2443213920, 41431978224, 714836651760, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[1],[0]],[[0],[1],[1]]].
CGKS20:S^2_4 x S^2_610144S^2_4 x S^2_6 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-4}41441, 0, 26, 156, 2574, 31080, 457640, 6657840, 101892910, 1589463120, 25368881076, 411763533720, …period: [1,0,26,156,2574,31080,457640,6657840,101892910,1589463120,25368881076,411763533720,6784102066896,113199493863456,1909861276896144,32536502641939296,559061555982582510,9679580247802017696,168737181121505815676,2959531233028254788904,52195656411178409201644,925168600499368858123920,16473535177988690007255504,294551040997529754459182304,5286777220924273216765803856,95223571049201749136882527680,1720688311842492754077299984000,31185911218304423881430445694080,566785235012831038086278469400080,10327556397922750751072117304505920,188633646435377281282171647510983040,3453140847334653812978168321774073600]
CGKS20:P^1 x V^3_162128P^1 x V^3_16 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-8}31121, 0, 28, 216, 3900, 58800, 984520, 17334240, 307467580, 5698274400, 106334137728, 2033044342560, …period: [1,0,28,216,3900,58800,984520,17334240,307467580,5698274400,106334137728,2033044342560,39268641614664,769285401812928,15220281781024320,304058074468564416,6124785981445551420,124292910474342337728,2539344656378449135216,52191684137651503404960,1078607489997387808057600,22401596341334523010251840,467378319457032673239207840,9791799091995130695168203520,205928348686793298820472413000,4346087224990032513023820028800,92022345014406680949264011485600,1954323855229831232865851656785600,41621190341318303925247883050363200,888715791448446985231842564716016000,19022407315926281686294836339209987520,408087419513282148490982468936294054400]
CGKS20:S^2_4 x S^2_511120S^2_4 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-10}31281, 0, 30, 216, 3858, 54000, 891660, 14726880, 254274930, 4478392800, 80604786780, 1474624887120, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,2],[0,0,1,0],[0,0,0,0],[0,2,4,0]], and sequence of generalised partitions [[[0],[2],[-2]],[[0],[2],[-2]]].
CGKS20:P^1 x V^3_142112P^1 x V^3_14 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-7}31121, 0, 38, 348, 6954, 117840, 2268560, 44336040, 899196970, 18633148800, 393939748188, 8463124057080, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,5],[0,0,0,0],[0,0,0,0],[0,2,2,0]], and sequence of generalised partitions [[[0],[0],[2]],[[1],[0],[1]]].
CGKS20:S^2_4 x S^2_41296S^2_4 x S^2_4 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-6}3961, 0, 46, 528, 11826, 238560, 5341780, 122340960, 2898333970, 70170152640, 1731945643596, 43419475508640, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,0,0],[0,0,0,0],[0,2,4,0]], and sequence of generalised partitions [[[0],[1],[-1]],[[0],[2],[0]]].
CGKS20:P^1 x V^3_12296P^1 x V^3_12 (Fano index r=1)
CGKS20:S^2_3 x P^28162S^2_3 x P^2 (Fano index r=1)
CGKS20:S^2_3 x F_19144S^2_3 x F_1 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-1}4961, 0, 56, 672, 16296, 350400, 8393600, 205470720, 5201362600, 134548149120, 3547276520256, 94976611403520, …period: [1,0,56,672,16296,350400,8393600,205470720,5201362600,134548149120,3547276520256,94976611403520,2576748729198336,70705119505692672,1959410630484443136,54775159851459919872,1543139470888582006440,43776283768433504800512,1249648898174170371061184,35875570417824093638153472,1035266785921131636700924096,30016337104115412037727900160,874073033639900977883930582016,25554921534168111342549362982912,749906006867846919465810088466176,22081431182316219152982432091238400,652274469729239329005927074993100800,19325083368288134928219861278443315200,574135368197614389599805522493655961600,17101380338080742774975546986134815539200,510623675838973674049384922358766819737600,15281246815571456956587788019660015422668800]
CGKS20:S^2_3 x P^1 x P^19144S^2_3 x P^1 x P^1 (Fano index r=1)
CGKS20:S^2_3 x S^2_710126S^2_3 x S^2_7 (Fano index r=1)
CGKS20:S^2_3 x S^2_611108S^2_3 x S^2_6 (Fano index r=1)
CGKS20:P^1 x MM^3_{3-2}41121, 0, 60, 600, 13884, 259440, 5613000, 122354400, 2778205500, 64424824800, 1525525263360, 36713728830240, …period: [1,0,60,600,13884,259440,5613000,122354400,2778205500,64424824800,1525525263360,36713728830240,896100731904840,22135472918919360,552531976393700160,13918914663822168000,353492819556958352700,9042843685244616561600,232841447313017077083120,6030797375952252136490400,157041487910118830725833984,4109376845835329981406162240,108014339350619275692069413280,2850846194991555149878759944960,75529030127964273674292562631496,2008064683763112311980678917498240,53561660922731675421230734349488800,1432989444359932985648127737024030400,38446284111618901659766795301775278400,1034204683552760926445767742337649061760,27888502733371953967212791097921237297600,753777049279204356163735996621276834521600]
CGKS20:S^2_3 x S^2_51290S^2_3 x S^2_5 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-5}3961, 0, 68, 816, 21012, 465960, 11662880, 297392760, 7856529940, 212062336080, 5835410616168, 163076869678800, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,5],[0,0,0,0],[0,0,0,0],[0,2,2,0]], and sequence of generalised partitions [[[0],[0],[3]],[[0],[1],[0]]].
CGKS20:S^2_3 x S^2_41372S^2_3 x S^2_4 (Fano index r=1)
CGKS20:P^1 x V^3_10280P^1 x V^3_10 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-4}3801, 0, 92, 1518, 47172, 1357680, 42774050, 1385508600, 46281189220, 1579933960080, 54925200866592, 1938107404473240, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,4],[0,0,0,0],[0,0,0,0],[0,2,3,0]], and sequence of generalised partitions [[[0],[1],[-1]],[[0],[1],[2]]].
CGKS20:S^2_3 x S^2_31454S^2_3 x S^2_3 (Fano index r=1)
CGKS20:P^1 x V^3_8264P^1 x V^3_8 (Fano index r=1)
CGKS20:S^2_2 x P^29108S^2_2 x P^2 (Fano index r=1)
CGKS20:S^2_2 x F_11096S^2_2 x F_1 (Fano index r=1)
CGKS20:S^2_2 x P^1 x P^11096S^2_2 x P^1 x P^1 (Fano index r=1)
CGKS20:S^2_2 x S^2_71184S^2_2 x S^2_7 (Fano index r=1)
CGKS20:S^2_2 x S^2_61272S^2_2 x S^2_6 (Fano index r=1)
CGKS20:S^2_2 x S^2_51360S^2_2 x S^2_5 (Fano index r=1)
CGKS20:S^2_2 x S^2_41448S^2_2 x S^2_4 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-3}3641, 0, 302, 8472, 442194, 21352560, 1128405740, 61403700960, 3448416580210, 198054192211680, 11587120176845052, 688138924008837840, …period: [1,0,302,8472,442194,21352560,1128405740,61403700960,3448416580210,198054192211680,11587120176845052,688138924008837840,41381640939381824004,2514954847196188260864,154237744071748384781448,9533876854247644732465632,593399931750277649947405170,37160462398331729665577164224,2339836753705969854273914763644,148054586943281291973292174618608,9409953262201147818518521468026724,600494520349587055155386780882896800,38462463398386191721158881269980939768,2471961107304710538971677134912997696128,159370851888525357207110140524556183482436,10304778656883983867533970122165883797397760,668101080183331117959766528234014644495226200,43425051083413671789695314875730026343987434720,2829191743895532674314111761531018973017471388920,184733077006963163052274419438377338857613490024640,12087311510756236244893226214717430831281280020501840,792438253457163205376497254566469453591436665932716800]
CGKS20:S^2_2 x S^2_31536S^2_2 x S^2_3 (Fano index r=1)
CGKS20:P^1 x V^3_6248P^1 x V^3_6 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-2}3481, 0, 472, 21216, 1568424, 115141440, 9050108800, 736102993920, 61597769938600, 5267018453128320, 458249805204996672, 40439196817766503680, …period: [1,0,472,21216,1568424,115141440,9050108800,736102993920,61597769938600,5267018453128320,458249805204996672,40439196817766503680,3611137654446922516224,325717652174965831452672,29633184887429496101634048,2716208491839606935172857856,250608825564306565347943122600,23256785507225283180916936442112,2169450095446551908757088883045056,203313506594825520140784792195942144,19133920285826176102979399750146158784,1807571253082820787897419922186381626880,171354723175071459927512333937257081207808,16295971311108451927961109586086954197704704,1554311225627053665958887027087112770401441536,148652597849436360172559985925978095719895306240,14252734072492875987918347610774274261064263628800,1369742324807852860598216580273776570659260528353280,131924835277244183364592038217855905358744632346890240,12732104921268223252389523754858131289954421900102696960,1231132649759539401177439309396099445498254818156095078400,119258894872400688760147983397976042297531057046546382848000]
CGKS20:S^2_2 x S^2_21624S^2_2 x S^2_2 (Fano index r=1)
CGKS20:P^1 x V^3_4232P^1 x V^3_4 (Fano index r=1)
CGKS20:S^2_1 x P^21054S^2_1 x P^2 (Fano index r=1)
CGKS20:S^2_1 x F_11148S^2_1 x F_1 (Fano index r=1)
CGKS20:S^2_1 x P^1 x P^11148S^2_1 x P^1 x P^1 (Fano index r=1)
CGKS20:S^2_1 x S^2_71242S^2_1 x S^2_7 (Fano index r=1)
CGKS20:S^2_1 x S^2_61336S^2_1 x S^2_6 (Fano index r=1)
CGKS20:S^2_1 x S^2_51430S^2_1 x S^2_5 (Fano index r=1)
CGKS20:S^2_1 x S^2_41524S^2_1 x S^2_4 (Fano index r=1)
CGKS20:S^2_1 x S^2_31618S^2_1 x S^2_3 (Fano index r=1)
CGKS20:P^1 x MM^3_{2-1}3321, 0, 10382, 2082840, 650724306, 199392674160, 64624270834220, 21530238491351520, 7348122285505862770, 2555801142310454004960, 903063467850158201388732, 323350450026424761003848400, …period: [1,0,10382,2082840,650724306,199392674160,64624270834220,21530238491351520,7348122285505862770,2555801142310454004960,903063467850158201388732,323350450026424761003848400,117102532042689815951300138244,42828980924589165022612826810880,15799816084379655470246278689512712,5873076566690780239131362396620447200,2197892517296231419587392745693643481970,827481978024917687805719778638317400472000,313221424345591995748937800567981092567772220,119138419889418173900823476654196003374563426800,45515265075448949211627293301237871049372810720356,17457834186651689907976255311213706021004504923792800,6720423888746008920986175267698035716817980795517704312,2595610336975106911294569716267375616890882722091294989440,1005537423981203291811160877766866245884720796537948354853956,390630324793196962723099565965057822827092845574703521406408960,152141436759217885972097937225938443661877302444889790942274576600,59396114421731704369218250739074724572537089049399431599610203754720,23239221018499777599363735463873573594382433411762150615310639674123000,9111081824559335641112696362486521209972005697227771167767253835073645760,3578836388433511684152988081722378179994747700910670052059166550781320074320,1408257012485760784070539647533148418476446313860359381958141152505806665619200]
CGKS20:S^2_1 x S^2_21712S^2_1 x S^2_2 (Fano index r=1)
CGKS20:S^2_1 x S^2_1186S^2_1 x S^2_1 (Fano index r=1)
CGKS20:P^1 x V^3_2216P^1 x V^3_2 (Fano index r=1)
CGKS20:MW^4_152640MW^4_15 (Fano index r=2)
CGKS20:P^1 x P^325121, 0, 2, 0, 30, 0, 740, 0, 12670, 0, 327852, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,4],[0,0,0],[0,4,0]], and sequence of generalised partitions [[[1],[-1]],[[1],[-1]]].
CGKS20:MW^4_132480MW^4_13 (Fano index r=2)
CGKS20:MW^4_122416MW^4_12 (Fano index r=2)
CGKS20:P^1 x MM^3_{2-35}34481, 0, 4, 0, 60, 0, 1480, 0, 41020, 0, 1247904, 0, …This period sequence is realised by a quiver flag variety with dimension vector [1,1,1,1] and adjacency matrix [[0,1,2,3],[0,0,0,0],[0,0,0,0],[0,1,0,0]].
CGKS20:MW^4_112384MW^4_11 (Fano index r=2)
CGKS20:MW^4_102352MW^4_10 (Fano index r=2)
CGKS20:MW^4_72320MW^4_7 (Fano index r=2)
CGKS20:P^1 x MM^3_{2-32}33841, 0, 6, 0, 114, 0, 3300, 0, 114450, 0, 4423356, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1,1], adjacency matrix [[0,0,0,3],[0,0,0,0],[0,0,0,0],[0,2,4,0]], and sequence of generalised partitions [[[0],[1],[-1]],[[0],[1],[0]]].
CGKS20:MW^4_82320MW^4_8 (Fano index r=2)
CGKS20:V^4_1812881, 0, 6, 0, 162, 0, 6180, 0, 284130, 0, 14553756, 0, …period: [1,0,6,0,162,0,6180,0,284130,0,14553756,0,800506476,0,46305405432,0,2780921118690,0,171927372671340,0,10877674261151412,0,701305878817193832,0,45927772578482587884,0,3047751399220654933800,0,204545441956182826717800,0,13862579655060173667793680,0]
CGKS20:MW^4_52256MW^4_5 (Fano index r=2)
CGKS20:P^1 x P^1 x P^1 x P^143841, 0, 8, 0, 168, 0, 5120, 0, 190120, 0, 7939008, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,4],[0,0,0],[0,4,0]], and sequence of generalised partitions [[[0],[2]],[[2],[-2]]].
CGKS20:P^1 x B^3_523201, 0, 8, 0, 192, 0, 6920, 0, 303520, 0, 14919408, 0, …period: [1,0,8,0,192,0,6920,0,303520,0,14919408,0,789766824,0,44035813536,0,2551513330080,0,152276483696480,0,9303848188169392,0,579406712768310336,0,36659012121502522024,0,2350573369176830067200,0,152446915219788157039200,0,9984889286198853121753920,0]
CGKS20:V^4_1612561, 0, 8, 0, 240, 0, 10880, 0, 597520, 0, 36667008, 0, …period: [1,0,8,0,240,0,10880,0,597520,0,36667008,0,2419194624,0,167973611520,0,12113815119120,0,899573909886080,0,68376596174698240,0,5296827335936747520,0,416833924390501945600,0,33241364282662758656000,0,2681179405674443472384000,0,218392062552305633338490880,0]
CGKS20:V^4_1412241, 0, 8, 0, 288, 0, 15200, 0, 968800, 0, 68923008, 0, …period: [1,0,8,0,288,0,15200,0,968800,0,68923008,0,5269660704,0,423919926144,0,35416227132000,0,3046522120928000,0,268225241207068288,0,24066768168253085184,0,2193633453304571029024,0,202614669597039174272000,0,18927918088371274043088000,0,1785640276049642165785075200,0]
CGKS20:MW^4_42192MW^4_4 (Fano index r=2)
CGKS20:P^1 x B^3_422561, 0, 10, 0, 318, 0, 15220, 0, 886270, 0, 57885660, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,6],[0,0,0],[0,2,0]], and sequence of generalised partitions [[[0],[2]],[[0],[2]]].
CGKS20:V^4_1211921, 0, 10, 0, 438, 0, 28900, 0, 2310070, 0, 206389260, 0, …period: [1,0,10,0,438,0,28900,0,2310070,0,206389260,0,19829802300,0,2005342876680,0,210655032909750,0,22787749078623100,0,2523293320086155188,0,284766027138824595000,0,32648262433508675313724,0,3793239981061668330235000,0,445758489180594819815311800,0,52900426575854606465406896400,0]
CGKS20:V^4_1011601, 0, 12, 0, 684, 0, 58800, 0, 6129900, 0, 714610512, 0, …period: [1,0,12,0,684,0,58800,0,6129900,0,714610512,0,89611475184,0,11829354533568,0,1622229744177900,0,229106666659213200,0,33122214618099791184,0,4880557796341569346368,0,730603612337826340045296,0,110836006259040495717480000,0,17006915811326627849615640000,0,2635395414074447469487969708800,0]
CGKS20:P^1 x B^3_321921, 0, 14, 0, 690, 0, 50900, 0, 4540690, 0, 453639564, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,5],[0,0,0],[0,3,0]], and sequence of generalised partitions [[[0],[3]],[[1],[-1]]].
CGKS20:V^4_811281, 0, 16, 0, 1296, 0, 160000, 0, 24010000, 0, 4032758016, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1], adjacency matrix [[0,8],[0,0]], and sequence of generalised partitions [[[2]],[[2]],[[2]]].
CGKS20:V^4_61961, 0, 24, 0, 3240, 0, 672000, 0, 169785000, 0, 48057033024, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1], adjacency matrix [[0,7],[0,0]], and sequence of generalised partitions [[[2]],[[3]]].
CGKS20:P^1 x B^3_221281, 0, 26, 0, 2814, 0, 447380, 0, 84832510, 0, 17884770876, 0, …period: [1,0,26,0,2814,0,447380,0,84832510,0,17884770876,0,4051680872316,0,967042425001224,0,240113654814766590,0,61487713566353454380,0,16138855830833692406164,0,4322040988247179474086264,0,1176902116427896588363011196,0,324993050500362676400055596600,0,90820969443530164625944288786200,0,25642295269303478403291798743660880,0]
CGKS20:V^4_41641, 0, 48, 0, 15120, 0, 7392000, 0, 4414410000, 0, 2956651746048, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1], adjacency matrix [[0,6],[0,0]], and sequence of generalised partitions [[[4]]].
CGKS20:P^1 x B^3_12641, 0, 122, 0, 84606, 0, 84187220, 0, 98308169470, 0, 125922292917372, 0, …period: [1,0,122,0,84606,0,84187220,0,98308169470,0,125922292917372,0,171441795468193404,0,243846228413607228552,0,358511840489969451126270,0,541061191029896205318298220,0,834116727796034081038316318356,0,1308875932361024968875903963983352,0,2084928372728708032207255885968248956,0,3364287023878111567588225937188475516600,0,5490052372704962563607568778484140260408600,0,9047924865043012490131555976716693553651184720,0]
CGKS20:V^4_21321, 0, 240, 0, 498960, 0, 1633632000, 0, 6558930378000, 0, 29581300719210240, 0, …period: [1,0,240,0,498960,0,1633632000,0,6558930378000,0,29581300719210240,0,143836335737833939200,0,737207888088943616716800,0,3928439729428651009119690000,0,21570543432627516984564267360000,0,121289785206884839843117863252168960,0,695306844954120368762619121286891827200,0,4050247675706784871143053647267969442668800,0,23913492719247755079333816621924921645504000000,0,142825192769410732291005641164200859000028736000000,0,861560834423275170708106339572089323235477639749632000,0]
CGKS20:P^2 x P^224861, 0, 0, 12, 0, 0, 900, 0, 0, 94080, 0, 0, …This period sequence is realised by a quiver flag zero locus with dimension vector [1,1,1], adjacency matrix [[0,0,3],[0,0,0],[0,5,0]], and sequence of generalised partitions [[[1],[-1]],[[1],[-1]]].
CGKS20:FI^4_51405FI^4_5 (Fano index r=3)
CGKS20:FI^4_41324FI^4_4 (Fano index r=3)
CGKS20:FI^4_31243FI^4_3 (Fano index r=3)
CGKS20:FI^4_21162FI^4_2 (Fano index r=3)
CGKS20:FI^4_1181FI^4_1 (Fano index r=3)
CGKS20:Q^415121, 0, 0, 0, 48, 0, 0, 0, 15120, 0, 0, 0, …Q^4 (Fano index r=4)
CGKS20:P^416251, 0, 0, 0, 0, 120, 0, 0, 0, 0, 113400, 0, …P^4 (Fano index r=5)

The quantum period column shows the first twelve coefficients of $G_X(t)=\sum_d c_d\,t^d$; the full series is in the data file.

Extracted from the 'known 4-dimensional Fano' tables of arXiv:1406.4891. volume = (-K_X)^4, picard_rank = rho_X. X is the paper's name for the variety.