Finite Group Databasebeta

← Group #13144221

Character table — Group #13144221

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11166669991116666999222121212121818182221212121218181822212121212181818222121212121818182221212121218181822212121212181818222121212121818188884848484872727288848484848727272
order1333333266266666626641212121212124121282424242424248242482424242424248242416484848484848164848164848484848481648481648484848484816484816484848484848164848412121212121241212412121212121241212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ32222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ4222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000
χ5222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000
χ6222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000
χ73−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ83−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ93−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ103−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ132222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ14222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000
χ15222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000
χ16222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000
χ173−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ183−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ193−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ203−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ232222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-1000-2-2-2-2111000
χ24222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000-2-2-21-211000
χ25222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000-2-2-211-21000
χ26222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000-2-2-2111-2000
χ273−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32
χ283−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32
χ293−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32
χ303−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ321111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1
χ332222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-1000
χ34222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000
χ35222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000
χ36222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000
χ373−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32
χ383−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32
χ393−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32
χ403−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32
χ41222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ422222222-2-2-22222222-2-2-22222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2222000000000000000000000000000000000000000000000000000000000000
χ434444-2-2-20004444-2-2-20004444-2-2-2000-4-4-4-4222000-4-4-4-4222000000000000000000000000000000000000000000000000000000000000000
χ44444-24-2-2000444-24-2-2000444-24-2-2000-4-4-42-422000-4-4-42-422000000000000000000000000000000000000000000000000000000000000000
χ45444-2-24-2000444-2-24-2000444-2-24-2000-4-4-422-42000-4-4-422-42000000000000000000000000000000000000000000000000000000000000000
χ46444-2-2-24000444-2-2-24000444-2-2-24000-4-4-4222-4000-4-4-4222-4000000000000000000000000000000000000000000000000000000000000000
χ476−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-63−3i33+3i30000-21−i31+i3000000000000000000000000000000000000000000000000000000000000
χ486−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-63−3i33+3i300002−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000
χ496−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-63+3i33−3i30000-21+i31−i3000000000000000000000000000000000000000000000000000000000000
χ506−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-63+3i33−3i300002−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000
χ5122222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000022222222222222222222−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−200000000000000000000
χ522222222-2-2-22222222-2-2-2-2-2-2-2-2-2-2222000000000000000000002222222−2−2−22222222−2−2−2−2−2−2−2−2−2−2222−2−2−2−2−2−2−222200000000000000000000
χ534444-2-2-20004444-2-2-2000-4-4-4-42220000000000000000000000022222222−2−2−200022222222−2−2−2000−22−22−22−22222000−22−22−22−2222200000000000000000000000
χ54444-24-2-2000444-24-2-2000-4-4-42-42200000000000000000000000222222−222−2−2000222222−222−2−2000−22−22−222−2222000−22−22−222−222200000000000000000000000
χ55444-2-24-2000444-2-24-2000-4-4-422-4200000000000000000000000222222−2−222−2000222222−2−222−2000−22−22−2222−222000−22−22−2222−22200000000000000000000000
χ56444-2-2-24000444-2-2-24000-4-4-4222-400000000000000000000000222222−2−2−222000222222−2−2−222000−22−22−22222−22000−22−22−22222−2200000000000000000000000
χ576−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i300000000000000000000323ζ10−3ζ46−3ζ14+3ζ2600002ζ10−ζ46−ζ14+ζ26323ζ10−3ζ46−3ζ14+3ζ2600002ζ10−ζ46−ζ14+ζ26−32−3ζ10+3ζ463ζ14−3ζ260000−2−ζ10+ζ46ζ14−ζ26−32−3ζ10+3ζ463ζ14−3ζ260000−2−ζ10+ζ46ζ14−ζ2600000000000000000000
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χ104444-24-2-2000-4-4-42-4220000000000000−22−22−222−2222000222222−222−2−20002ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ25+ζ31−ζ41+ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47000−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ25−ζ31+ζ41−ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470002ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−ζ11+ζ13+ζ29−ζ432ζ11−2ζ13−2ζ29+2ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43000−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43ζ11−ζ13−ζ29+ζ43−2ζ11+2ζ13+2ζ29−2ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ4300000000000000000000000
χ105444-2-24-2000-4-4-422-420000000000000−22−22−2222−222000222222−2−222−20002ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ25+ζ31−ζ41+ζ47000−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ25−ζ31+ζ41−ζ470002ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ432ζ11−2ζ13−2ζ29+2ζ43−ζ11+ζ13+ζ29−ζ43000−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−2ζ11+2ζ13+2ζ29−2ζ43ζ11−ζ13−ζ29+ζ4300000000000000000000000
χ106444-2-2-24000-4-4-4222-40000000000000−22−22−22222−22000222222−2−2−2220002ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ472ζ25−2ζ31+2ζ41−2ζ47000−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−2ζ25+2ζ31−2ζ41+2ζ470002ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ432ζ11−2ζ13−2ζ29+2ζ43000−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000
χ1076−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i30000000000−32−3ζ10+3ζ463ζ14−3ζ260000−2−ζ10+ζ46ζ14−ζ26323ζ10−3ζ46−3ζ14+3ζ2600002ζ10−ζ46−ζ14+ζ263ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ470000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ470000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31ζ41−ζ473ζ11−3ζ13−3ζ29+3ζ433ζ13−3ζ43−3ζ11+3ζ290000ζ11−ζ13−ζ29+ζ43ζ13−ζ43−ζ11+ζ29−3ζ11+3ζ13+3ζ29−3ζ43−3ζ13+3ζ433ζ11−3ζ290000−ζ11+ζ13+ζ29−ζ43−ζ13+ζ43ζ11−ζ2900000000000000000000
χ1086−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i30000000000−32−3ζ10+3ζ463ζ14−3ζ2600002ζ10−ζ46−ζ14+ζ26323ζ10−3ζ46−3ζ14+3ζ260000−2−ζ10+ζ46ζ14−ζ263ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ470000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31ζ41−ζ47−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ470000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ473ζ11−3ζ13−3ζ29+3ζ433ζ13−3ζ43−3ζ11+3ζ290000−ζ11+ζ13+ζ29−ζ43−ζ13+ζ43ζ11−ζ29−3ζ11+3ζ13+3ζ29−3ζ43−3ζ13+3ζ433ζ11−3ζ290000ζ11−ζ13−ζ29+ζ43ζ13−ζ43−ζ11+ζ2900000000000000000000
χ1096−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i30000000000−323ζ14−3ζ26−3ζ10+3ζ460000−2ζ14−ζ26−ζ10+ζ4632−3ζ14+3ζ263ζ10−3ζ4600002−ζ14+ζ26ζ10−ζ463ζ25−3ζ31+3ζ41−3ζ47−3ζ41+3ζ47−3ζ25+3ζ310000ζ25−ζ31+ζ41−ζ47−ζ41+ζ47−ζ25+ζ31−3ζ25+3ζ31−3ζ41+3ζ473ζ41−3ζ473ζ25−3ζ310000−ζ25+ζ31−ζ41+ζ47ζ41−ζ47ζ25−ζ313ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ293ζ13−3ζ430000ζ11−ζ13−ζ29+ζ43−ζ11+ζ29ζ13−ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ29−3ζ13+3ζ430000−ζ11+ζ13+ζ29−ζ43ζ11−ζ29−ζ13+ζ4300000000000000000000
χ1106−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i30000000000−323ζ14−3ζ26−3ζ10+3ζ4600002−ζ14+ζ26ζ10−ζ4632−3ζ14+3ζ263ζ10−3ζ460000−2ζ14−ζ26−ζ10+ζ463ζ25−3ζ31+3ζ41−3ζ47−3ζ41+3ζ47−3ζ25+3ζ310000−ζ25+ζ31−ζ41+ζ47ζ41−ζ47ζ25−ζ31−3ζ25+3ζ31−3ζ41+3ζ473ζ41−3ζ473ζ25−3ζ310000ζ25−ζ31+ζ41−ζ47−ζ41+ζ47−ζ25+ζ313ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ293ζ13−3ζ430000−ζ11+ζ13+ζ29−ζ43ζ11−ζ29−ζ13+ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ29−3ζ13+3ζ430000ζ11−ζ13−ζ29+ζ43−ζ11+ζ29ζ13−ζ4300000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.