9 9 152 ## 19 complete sets of MOLS9, in Owens Preece order (see notes below). abcdefghi bcaefdhig cabfdeigh defghiabc efdhigbca fdeighcab ghiabcdef higbcaefd ighcabfde abcdefghi cabfdeigh bcaefdhig ghiabcdef ighcabfde higbcaefd defghiabc fdeighcab efdhigbca abcdefghi defghiabc ghiabcdef efdhigbca higbcaefd bcaefdhig ighcabfde cabfdeigh fdeighcab abcdefghi efdhigbca ighcabfde higbcaefd cabfdeigh defghiabc fdeighcab ghiabcdef bcaefdhig abcdefghi fdeighcab higbcaefd bcaefdhig defghiabc ighcabfde cabfdeigh efdhigbca ghiabcdef abcdefghi ghiabcdef defghiabc ighcabfde fdeighcab cabfdeigh efdhigbca bcaefdhig higbcaefd abcdefghi higbcaefd fdeighcab cabfdeigh ghiabcdef efdhigbca bcaefdhig ighcabfde defghiabc abcdefghi ighcabfde efdhigbca fdeighcab bcaefdhig ghiabcdef higbcaefd defghiabc cabfdeigh acbgihdfe bachgiedf cbaihgfed dfeacbgih edfbachgi fedcbaihg gihdfeacb hgiedfbac ihgfedcba abcdefghi bcaefdhig cabfdeigh defghiabc efdhigbca fdeighcab ghiabcdef higbcaefd ighcabfde agdbhecif bhecifagd cifagdbhe dagebhfci ebhfcidag fcidagebh gdahebifc hebifcgda ifcgdaheb aiefbghdc bgfdchiea chdeaigfb dchieabgf eaigfbchd fbghdcaie gfbchdeai hdcaiefbg ieabgfdch ahfidbecg bidgecfah cgehfadbi dbicgehfa ecgahfidb fahbidgec gecfahbid hfadbicge idbecgahf adgcfibeh behadgcfi cfibehadg dgaficehb ehbdgafic ficehbdga gadicfhbe hbegadicf icfhbegad afhegcibd bdifhagce cegdibhaf dibhafceg egcibdafh fhagcebdi gcebdifha hafcegdib ibdafhegc aeihcdfgb bfgiaedhc cdhgbfeia dhcbfgiae eiacdhgbf fgbaeihcd gbfeiacdh hcdfgbaei iaedhcbfg acbgihdfe cbaihgfed bachgiedf gihdfeacb ihgfedcba hgiedfbac dfeacbgih fedcbaihg edfbachgi adgcfibeh hbegadicf ficehbdga ehbdgafic cfibehadg gadicfhbe icfhbegad dgaficehb behadgcfi aeihcdfgb gbfeiacdh dhcbfgiae iaedhcbfg fgbaeihcd cdhgbfeia eiacdhgbf bfgiaedhc hcdfgbaei afhegcibd ibdafhegc egcibdafh cegdibhaf hafcegdib dibhafceg bdifhagce gcebdifha fhagcebdi agdbhecif ebhfcidag ifcgdaheb fcidagebh gdahebifc bhecifagd hebifcgda cifagdbhe dagebhfci ahfidbecg dbicgehfa gecfahbid hfadbicge bidgecfah ecgahfidb fahbidgec idbecgahf cgehfadbi aiefbghdc fbghdcaie hdcaiefbg bgfdchiea dchieabgf ieabgfdch chdeaigfb eaigfbchd gfbchdeai acbgihdfe bachgiedf cbaihgfed dfeacbgih edfbachgi fedcbaihg gihdfeacb hgiedfbac ihgfedcba iadecghfb biecdhfga deighcabf ecgifabdh cdhfibeag ghfabidec hfabgdice fgbhaecid abcdefghi biecdhfga iadecghfb ghfabidec fgbhaecid hfabgdice deighcabf cdhfibeag ecgifabdh abcdefghi edfghibac hgibacdef iahfdecgb dfacihebg gcehbafid bigefdhca febicgadh chdagbife abcdefghi ceghfbaid gfaibecdh fdbcghiae iaeghdfcb ehiadcbgf hcdbiaefg dgfeaihbc bihfcgdea abcdefghi dchfgaibe fhbaidecg cgeiabfdh hefbdiagc iagcfhdeb efahcgbid bidghecfa gdiebchaf abcdefghi hgibacdef edfghibac bigefdhca chdagbife febicgadh iahfdecgb gcehbafid dfacihebg abcdefghi fhbaidecg dchfgaibe efahcgbid gdiebchaf bidghecfa cgeiabfdh iagcfhdeb hefbdiagc abcdefghi gfaibecdh ceghfbaid hcdbiaefg bihfcgdea dgfeaihbc fdbcghiae ehiadcbgf iaeghdfcb abcdefghi ibdecghfa aiecdhfgb deighfabc ecgifabhd cdhfibgae ghcabidef hfabedicg fgbdaecih bafhgcedi bigfhdcea iahgfedcb edfbaihgc ceahbgfid dcbaghife hgiedcbaf fhdciaebg gfeicbadh abcdefghi ehidgbfca dgafciehb fihaegbdc gbfcheiad hadibfcge icehadgbf bdcefhaig aegbicdfh cfbgdahei cgfiehdba efdahcgib gabeidfhc hicgabefd fbghdiace behdcaigf acifbehdg idacgfbeh dhebfgcai dfchiebga chgeafidb hbefgadic faibchged giadfchbe adbihgecf iefadbchg bcdgeifah eghcbdafi hebcfigda gdiheacfb ifgdbheac bgeaifhcd ahfgcdbie cidbgeahf dbhiacfeg eacfdgibh fcaehbdgi fdegbciha hcfdigaeb bhaidegfc afhegicbd igcbhafde dagcebhif eibhcfdag cbiafdegh gedfahbci gchbdfeia fecigdhab agdhfbiec ihbfecagd bficagdhe ebagihcdf caedhibfg difebagch hdgacefbi aihgfedcb ibgfhdcea hgcedibaf gfedcbaih fhdceaibg edibafhgc dcbaihgfe ceaibgfhd bafhgcedi ahgidcbfe dbfcaehig bdcfigaeh eibdghfac gfhaeicdb haegbficd ceihfdgba igdbcaehf fcaehbdgi agefibhdc ebahdgicf fhcgadeib beidhacfg cifbehagd dchigfbea ifdebcgah gabcfidhe hdgacefbi afichgebd cbeagidfh dichbafge hgadfcieb bcgiedhaf ihbecfadg fahbdegic edfgibcha gedfahbci aefbcdigh gbheicfad eacifhdbg fhgdbieca idahegbfc bgdahfcie hiecabgdf dcifgeahb cfbgdahei adbeghcif hbdifaegc gfcbheida icfdaghbe daigebfch ceghifdab bhafciged fieadcbhg eghcbdafi acdhbifeg fbigchade iecagbhfd cahdiebgf hgbfecdia giacdfebh edfihagcb bfgeadihc dhebfgcai ibecdhfga aidecghfb ghiabfdec fgbiaechd hfabidgce decghiabf cdhfebiag ecgdfabih bafhgcedi abcedhgfi daghbifce heaficdbg gciafdehb bdfiaecgh cfhbgaied eibghfadc ihdcegbaf fgedcbhia aceifbhdg gbfeihcad igchbdafe biadgefch dhifecbga hegadfibc edbchagif cfdgaiehb fahbcgdei adgefibhc hbefgdica bgcahfeid ghidbacef cifgebdah ecdbihafg ieahcgfdb fabidchge dfhcaegbi aidfhgcbe dbgicaefh hacgiebdf eghdfciab gfabedhic ihbeafdcg bcfhdigea feicgbahd cdeabhfgi afbhceigd ibdagchef decbhifag fcgdahbie hdfiegacb gihcbfeda caiefdgbh bgefiadhc ehagdbcfi ahgcidfeb cbhfdeaig efcighdba iafdhbegc fgbaeicdh bdigcfhae hiebacgfd dcaebgihf gedhfabci agibdhecf hbacfidge gdcfabieh cebdighfa ichgeafbd daehgfcib fhdibegac eifacdbhg bfgehcadi aefgbcdih ebihagfdc ficedahgb ghedciabf badcehifg cgaihfbed dfhaibgce idgbfecha hcbfgdeai abcdefghi cifhdabeg eadibhfgc fgaehcidb idgfcbeah dchgieabf hfebgdcia beicaghfd ghbafidce abcdehfgi dgifcbahe gcfhdebia fheaigdbc eagcbfidh hiabfcged bedgaihcf ifbehdcag cdhigaefb abcdefghi behiadcgf chfbgaide eagfbihcd dibgfhaec hgdecbfia gciahedfb fdahicebg ifecdgbah abcdefghi icdbgefah dfeghiacb hdbcfgeia fhaidcbge begfahidc cgfeiahbd gihacbdef eaihbdcfg abcdefghi fgaehcidb beicaghfd cifhdabeg hfebgdcia ghbafidce idgfcbeah eadibhfgc dchgieabf abcdefghi hdbcfgeia gihacbdef icdbgefah cgfeiahbd eaihbdcfg fhaidcbge dfeghiacb begfahidc abcdefghi gfeaihdbc igbefdcah dhigcbafe bedhaifcg cdfihaegb eahcbgidf hcgfdebia fiabgched abcdefghi eagfbihcd fdahicebg behiadcgf gciahedfb ifecdgbah dibgfhaec chfbgaide hgdecbfia abcdehfgi badchiefg cdafgbieh ecgbafhid dfbaicghe geihcdbaf fghideabc hiegfadcb ihfebgcda abcdefghi fgaehcidb beicaghfd cifhdabeg hfebgdcia ghbafidce idgfcbeah eadibhfgc dchgieabf abcdefghi dcbaghfie hgefcidab gdicfeabh ehfiagbcd fighbaedc badeichgf ifhgdbcea ceabhdifg abcdefghi efigadhbc fhbedacig bagichdfe gcdhbiaef idebhcfga dehafgicb cgafiebdh hifcgbead abcdefghi cifhdabeg eadibhfgc fgaehcidb idgfcbeah dchgieabf hfebgdcia beicaghfd ghbafidce abcdefghi gehfibacd icfhgdeba dheabicgf baighefdc cfaedghib eibcahdfg hdgbfciae fgdicabeh abcdefghi hdgibecaf gfhbicade iebfgdhca ciaefhdgb egdcabifh fcighabed dhfaciebg baehdgfic abcdefghi ihebcgdfa digafebch hfdgibeac fehcdaibg bafighced cgahbifde gcbehdaif edifachgb ibecdhfga aidecghfb ghiabfdec fgbiaechd hfabidgce decghiabf cdhfebiag ecgdfabih bafhgcedi bihgfedca iagfhdceb hgfedibac gfehcbaid fhdcgaibe edibachgf dcbaihefg ceaibgfdh abcdefghi heifcbgda gdaheifcb figdahebc ebfcighad dahgbfcie icdagebhf bhcifdaeg agebdcifh cfbehadgi gcdihfeba fecaghdib eabgfdihc hiafecbgd cbihdgafe bghdiacef afecbihdg idfeabgch dhgbcefai fdgeicbha hcfdaeigb dbeigahfc cahbfiged gicahbfde ahbcdgeif ieahcfdbg bfigedcah egdfbhaci ehbdgicfa dgicfaehb ifhbegadc begahficd adfichbge ciehbdgaf hbdeacfig gacfiedbh fcagdbhei dfchbgiea chegifadb bdafhegic acieghfbd igbdfchae hagiebdcf eifbdachg fbdaciegh gehcadbfi cgfbedhia efhidcgab aedhibfgc ihcgbaefd bcgfaidhe gbaechidf faidhebcg dibcgfaeh hdeafgcbi aigfhdceb ibhgfedca edcbaihgf ceadbgfih dcbaehifg hgiedfbac fhdciagbe gfeicbahd bafhgcedi aefcigdbh gbeahcifd dacebhfig ifhdgebac hgifeacdb bhdicfage edbhfigca cigbadehf fcagdbhei acihdebfg fbgcaihde gfcihdeab eabdchigf ihfgebacd cehbgfdia diafbcgeh bgdeiafhc hdeafgcbi adeigbhcf hbafdgeic igchfadbe fhgdicaeb cadbeifgh eibahfcdg bfiechgad dcfgbeiha gehcadbfi ahdgbcfie dbfichaeg becadgifh hgidfbeca fighedbac gaecifhbd ichbaegdf edafgichb cfbehadgi afhbciegd cbiegdfah fhcgiebda gifdhacbe bdaceghif dcghafieb haeidbgfc iebafcdhg egdfbhaci agbefhidc ebdhiacgf hicfgbaed bcedaihfg gfhiecdba idagbfech cefahdgib faicdgbhe dhgbcefai ibdecghfa aiecdhfgb deighfabc ecgifabhd cdhfibgae ghcabidef hfabedicg fgbdaecih bafhgcedi acdihbfge cageifbdh beagcdihf igeabhcfd hfidaegcb dhbfgaeic fdchegabi ebhcfidag gifbdchea agfedcbih dbefahigc fdcbiaheg bfgdhiace gaihebcfd chaigfedb eihacdgbf iebcfgdha hcdgbefai aifbgdech fbdciaghe iacghedfb hegdfbcia dgaiefhbc gcbfahied cdehbifag ehiadcbgf bfhecgadi adehgbifc fbigcdeah hicabgfde ecbdiahgf cfgbehdia iedchfabg bhaifegcd dgfeaichb gahfdcbei achgfidbe ebfihgcda dhcegbaif igadbhfec bidfechag gdeaifbch heicdagfb fagbceihd cfbhadegi aeicbhfgd hbaefidcg bgciadefh ghfdceiab ichgeabdf eagbdfhic dfbhicgea cidfgbahe fdeahgcbi afbicehdg ibghdcaef gecfhibad caidfgebh hgfaedicb dihebfcga fcdbahgie bdegiafhc ehacgbdfi ahdfigceb cbhagefid efcgdhiba hiedacbfg fdbceiagh bgihcfdae iafehbgdc gcaibdehf degbfahci abecdghif daifbcehg gcahfidbe hegaidfcb bdhgafiec eifbhacgd cfbigeadh fgdechbai ihcdebgfa achgfideb gbahidfce biceghafd igfdbecah dhgceaibf ediahfbgc hebfdcgia fadicbehg cfebaghdi adhifcgbe hbiagfced ghcfbdeia bgedhaicf cidhegafb iefbchdag ecagibfdh dfbeaihgc fagcdebhi aiechbfgd dbhgceiaf egcifabdh hagdicefb gfbheidca bcaedfhig ihfbadgec cdifbgahe fedaghcbi afibchedg hbefgadic dechigfab fcbdaihge idagebcfh ghdcbfiea cahifegbd eigadcbhf bgfehdaci ahdeigbcf cbfidhega iacfhedbg efhdgbaic fgibechad hibgafcde bdeacigfh geacfdihb dcghbafei aegfbdcih ebdcaihfg fhcadbige giadchbef bahiegfdc cgehifabd dfiehagcb icfbgedha hdbgfceai agbhdeifc ibgefcadh gdcbaihef ceidhgfba hcfaedbig dahigfecb fidcbhgae bfegiachd ehafcbdgi abcdefghi cifhdabeg gdiafbhce fgaehcidb hfdgbecia bhgcaiefd iebfcgdah dceighabf eahbidfgc abcdehfgi dgifcbahe ifhcbdeag fheaigdbc hcagfibed eabigfcdh cdgehaifb gefbdchia bidhaegcf abcdefghi behiadcgf dfbhigaec eagfbihcd cgibhafde idegfcbah fiacdhebg ghdaceifb hcfegbdia abcdefghi icdbgefah cegfahibd hdbcfgeia eihacbdfg dgfeiahcb bfeghiadc faihbdcge ghaidcbef abcdefghi fgaeichbd baeghicdf chfidabge idbcfgeah gfihbdaec hcdbgefia eihfabdcg degachifb abcdefghi hdbcfgeia ehaidcbfg icdbgefah degfahicb fihacbdge gaihbdcef bgfeiahdc cfeghiabd abcdefghi eagfbhidc fihecadgb beihadcfg gheidcabf hcdbgefia dgfaibhce cfaghibed idbcfgeah abcdefghi gfeahidcb hcdbgefia dihgcbaef bafeidhgc ceafdhibg ehgiacbfd idbcfgeah fgihbacde abcdefghi ehifabdgc fcgedaibh baegihcfd gebchiadf idfbcghea dihabefcg cgahfdbie hfdigceab abcdehfgi hfgibaced baigfchde ceahdigfb gifbhedac fhdeibacg icbfgdeha edhcagibf dgeacfbih abcdefghi hdbcfgeia ehaibdcfg icdbgefah dfegahicb fihadcbge gaihcbdef begfiahdc cgfehiabd abcdefghi giehdcafb iedcfhbga dgfahbiec bahfcdeig chaigedbf efgbaicdh hciebgfad fdbgiahce abcdefghi begachidf hdbfageic efihbdacg cgfeiahbd dceghifab fhaidcbge iadbgecfh gihcfbdea abcdefghi icdbgefah dfeghiacb hdbcfgeia fhaidcbge begfahidc cgfeiahbd gihacbdef eaihbdcfg abcdefghi dfaghibce cgfbiehad gihecadbf icdagbfeh eaihbdcfg hdecfgaib fhbidcega begfahidc abcdefghi cafeidhbg gihacbdef fhgiacbde edihbgcfa hgbcfaeid bedfghiac dfeghiacb icabdefgh abcdehfgi badchiefg cdafgbieh ecgbafhid dfbaicghe geihcdbaf fghideabc hiegfadcb ihfebgcda abcdefghi fgaehcidb dfhbieagc cifhdabeg iegcfbdah eadighcbf hcegbdfia ghbaciefd bdifaghce abcdefghi dcbaghfie hgefcidab gdicfeabh ehfiagbcd fighbaedc badeichgf ifhgdbcea ceabhdifg abcdefghi efigadhbc fhbedacig bagichdfe gcdhbiaef idebhcfga dehafgicb cgafiebdh hifcgbead abcdefghi chfibadeg gidafhbce feagichdb hfebgdcia bghcaeifd idgfcbeah dciehgabf eabhdifgc abcdefghi gehfibacd icfhgdeba dheabicgf baighefdc cfaedghib eibcahdfg hdgbfciae fgdicabeh abcdefghi hiebdgcfa eagibcfdh igdfhbeac fdaechigb ghbafidce cfihgabed befcadhig dchgieabf abcdefghi idghcebaf beicaghfd hfbegdica cihfdaebg dcfgibaeh fgabhicde eadibhfgc gheafcdib abdchgife befdgihca gfiabcehd dihbafceg fdghebaic igbecdfah eacifhdgb chegiabdf hcafdegbi ihdefbcag fagciedhb abhgedicf hiebacgfd defacghbi gcidbafeh edafhibgc cgbhdfaie bfcigheda aedbcfigh habgicfde bchfgadei cbaidhefg ifehbdgac gdfcheaib ehidfgbca figaebchd dgceaihbf gfibhcdae acfebigdh idgacehbf beagfhcid chedgbifa hadfigbec dbhcefagi fibhadecg egcidafhb hdbigceaf cgedbhifa figbeadch acdfibheg dfihagcbe ihacdefgb becahfgdi gahefdbic ebfgciahd bcehdgafi aegdicfbh dihcbagef gfieabdhc habgcfide ehdbficga fdciehbag ibafgehcd cgfahdeib dhfgibace fgdbhceia afbiehcdg eiacbgfhd idchfageb hegadibfc bcedafhgi cbifgedah gahecdibf eicgdfabh gadebhifc iebacdghf acfdhibeg hbacfedgi fdhbagcie dfeigahcb cgihebfda bhgficead abgdfiech befidgahc dfihgbcea cdabheigf hgbaecfid gicfbdhae ihecafdbg fcheiagdb eadgchbfi ifahdgecb habiecdgf dghefiabc ecgbadfhi fieacbhdg bedcgaifh cdighfbae ahcfbegid gbfdihcea ahbcigefd eacbfdhig dbhaefigc bgfihcdae cigdbhfea fcahdegbi ifdegabch gdefaichb heigcbadf gaibchdfe fcdehabig ifgaedhbc beagdfchi hbcfgiead ciehbgfda dghcibaef adbifegch ehfdacigb hcfadibge dgicfheab begdiachf idbfhcaeg gbeiadhfc chabgefdi eidhcfgba afcebgdih fahgebicd badghefic ceifahdbg eghibdcaf hdcegbifa dibacfegh gcabfihed afgdicbhe fbehdgaci ihfceagdb dfaeihbcg hgfidecba fdbacgeih gbichadfe ihebfdagc bchgaifed aecfgbhdi cidhefgab eagdbcihf egiahfdcb iaecbdfgh cdbfaheig geadcbihf dbchfagei fhdiegabc aigbdchfe bfhegicda hcfgiebad abhdgecif gaiebcfhd ifgahbedc cdabfiheg dcfiegbah hecfidagb ehdgcfiba fibhdagce bgecahdfi ifchedabg dhfeabcgi ciadbgfeh gbecdihaf aebgchifd fgdahcbie hagbifedc edhifagcb bcifgedha ahfceibdg hegfacdib cfidgbeah fibgceahd dghabfice bdaeihfgc gcebdahfi ibdhfgcea eacihdgbf gafbdcieh bfghcdaie cdhibfeag agbefihdc fcidgebha dbegahcfi iecahbfgd ehdciagbf hiafegdcb hcgabdfei edbfgihac facbheidg bfidcgeha iedcahbgf dgaeibcfh cbhgdfaie ghfieadcb aiehfcgbd baigfhdce dcgaeihbf fdceagbih cehdbafgi abfhceidg efaidbghc ihdbgcefa gibchfaed hgefidcab dfcebiagh chadgfebi hgefidcab icgbaefhd bedcfahig eahidgbfc gdfhcbiea fbiahcgde aibgehdcf egcadhibf fihbaedgc ghecidafb adgebfhci hcaifgbde bedgcifah dfbhgceia iafdebchg cbifhaged ######################################### These 19 complete sets of MOLS are indexed in the same order as in Owens-Preece paper (which was copied by the CRC Handbook). No guarantees are made about the actual squares used or the order of the squares within each set. The Owens-Preece do-it-yourself guide to recognising complete sets of MOLS has a subtlety to it. It uses the idea of having a set of MOLS where each LS has the same rows, just in a different order. For this to work you need to normalise by permuting the symbols to make one row the identity; it should be the same row in each LS, but it matters which one it is! This is not at all clear in their guide.