Finite Group Databasebeta

← Group #13181474

Character table — Group #13181474

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222222244444444444444446666888888888888888888888899121212121212121212121212121212121616161616161616161616161616161616161616161616161818183636363654545454727272727272
order1222333346666336666666666121212122444333333336666666666661212446666121212121212121212121212666666666666666612121212121212122441212121222246612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111−1−i32−1+i3211111111−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111−1−i32−1+i3211111111−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-11111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321+i321−i321−i32
χ51111111111111−1+i32−1−i3211111111−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111111111111−1+i32−1−i3211111111−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-11111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321−i321+i321+i32
χ7111-11111-11111111111-1-1-1-111-1-1-1-1-111-1111111111-11-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11-11-1
χ8111-11111-11111111111-1-1-1-111-1-1-1-1-111-1111111111-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-11-11
χ9111-11111-11111−1−i32−1+i321111-1-1-1-1−1−i32−1+i32-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i3211-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-1−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i32−1−i321+i32−1+i321−i32
χ10111-11111-11111−1−i32−1+i321111-1-1-1-1−1−i32−1+i32-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-111+i321+i321−i321−i32-1-111−1−i32−1+i321+i32−1−i321−i32−1+i32
χ11111-11111-11111−1+i32−1−i321111-1-1-1-1−1+i32−1−i32-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i3211-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11-1−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i32−1+i321−i32−1−i321+i32
χ12111-11111-11111−1+i32−1−i321111-1-1-1-1−1+i32−1−i32-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-111−i321−i321+i321+i32-1-111−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1311-111111-1111111-1-1-1-1111111-1-1-1-1-11-1111111111-11-1111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11-11
χ1411-111111-1111111-1-1-1-1111111-1-1-1-1-11-1111111111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-11-1
χ1511-111111-11111−1−i32−1+i32-1-1-1-11111−1−i32−1+i32-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i3211-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11−1−i32−1−i32−1+i32−1+i321-11-11+i321−i321+i32−1−i321−i32−1+i32
χ1611-111111-11111−1−i32−1+i32-1-1-1-11111−1−i32−1+i32-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-1-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-11+i321+i321−i321−i32-11-11−1−i32−1+i32−1−i321+i32−1+i321−i32
χ1711-111111-11111−1+i32−1−i32-1-1-1-11111−1+i32−1−i32-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i3211-1-1-1-11111-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−1+i32−1+i32−1−i32−1−i321-11-11−i321+i321−i32−1+i321+i32−1−i32
χ1811-111111-11111−1+i32−1−i32-1-1-1-11111−1+i32−1−i32-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-1-1-1-1-11111-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-11−i321−i321+i321+i32-11-11−1+i32−1−i32−1+i321−i32−1−i321+i32
χ1911-1-111111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1111-1-1-1-1
χ2011-1-111111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-11111
χ2111-1-1111111111−1−i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i32111111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321111111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-1−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321+i321−i321−i32
χ2211-1-1111111111−1−i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i32111111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1111+i321+i321−i321−i32-111-11+i321−i32−1−i32−1−i32−1+i32−1+i32
χ2311-1-1111111111−1+i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i32111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321111111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-1−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321−i321+i321+i32
χ2411-1-1111111111−1+i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i32111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1111−i321−i321+i321+i32-111-11−i321+i32−1+i32−1+i32−1−i32−1−i32
χ2522222-1-1-122-1-1-1222-1-1-12-1-1-1222-1-1-122222-1-1-12-1-1-122222-1-1-12-1-1-122002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000000
χ2622222-1-1-122-1-1-1−1−i3−1+i32-1-1-12-1-1-1−1−i3−1+i32-1-1-12222−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3002-1-1-12-1-1-12-1-1-12-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000000000
χ2722222-1-1-122-1-1-1−1+i3−1−i32-1-1-12-1-1-1−1+i3−1−i32-1-1-12222−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3002-1-1-12-1-1-12-1-1-12-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000000000
χ282222-12-1-12-12-1-122-12-1-1-12-1-122-12-1-12222-12-1-1-12-1-12222-12-1-1-12-1-12200-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000000000
χ292222-12-1-12-12-1-1−1−i3−1+i3-12-1-1-12-1-1−1−i3−1+i3-12-1-122221+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1−i3−1+i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i300-12-1-1-12-1-1-12-1-1-12-1-11+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000000000
χ302222-12-1-12-12-1-1−1+i3−1−i3-12-1-1-12-1-1−1+i3−1−i3-12-1-122221−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1+i3−1−i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i300-12-1-1-12-1-1-12-1-1-12-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000000000
χ312222-1-12-12-1-12-122-1-12-1-1-12-122-1-12-12222-1-12-1-1-12-12222-1-12-1-1-12-12200-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000000000
χ322222-1-12-12-1-12-1−1−i3−1+i3-1-12-1-1-12-1−1−i3−1+i3-1-12-122221+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1−i3−1+i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i300-1-12-1-1-12-1-1-12-1-1-12-11+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000000000
χ332222-1-12-12-1-12-1−1+i3−1−i3-1-12-1-1-12-1−1+i3−1−i3-1-12-122221−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1+i3−1−i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i300-1-12-1-1-12-1-1-12-1-1-12-11−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000000000
χ342222-1-1-122-1-1-1222-1-1-12-1-1-1222-1-1-122222-1-1-12-1-1-122222-1-1-12-1-1-122200-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000000000
χ352222-1-1-122-1-1-12−1−i3−1+i3-1-1-12-1-1-12−1−i3−1+i3-1-1-1222221+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i300-1-1-12-1-1-12-1-1-12-1-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000000000
χ362222-1-1-122-1-1-12−1+i3−1−i3-1-1-12-1-1-12−1+i3−1−i3-1-1-1222221−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i300-1-1-12-1-1-12-1-1-12-1-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000000000
χ37222-22-1-1-1-22-1-1-1222-1-1-1-211122-2111-222-22-1-1-12-1-1-12-22-22-1-1-12-1-1-1-2-200-21112-1-1-12-1-1-1-21112-1-1-1-21112-1-1-1-2111-2111-211100000000000000000
χ38222-22-1-1-1-22-1-1-1−1−i3−1+i32-1-1-1-2111−1−i3−1+i3-2111-222-2−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i3−1+i31−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i300-21112-1-1-12-1-1-1-2111−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000000000
χ39222-22-1-1-1-22-1-1-1−1+i3−1−i32-1-1-1-2111−1+i3−1−i3-2111-222-2−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i3−1−i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i300-21112-1-1-12-1-1-1-2111−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000000000
χ40222-2-12-1-1-2-12-1-122-12-1-11-211221-211-222-2-12-1-1-12-1-12-22-2-12-1-1-12-1-1-2-2001-211-12-1-1-12-1-11-211-12-1-11-211-12-1-11-2111-2111-21100000000000000000
χ41222-2-12-1-1-2-12-1-1−1−i3−1+i3-12-1-11-211−1−i3−1+i31-211-222-21+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i31+i3−1+i31−i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3001-211-12-1-1-12-1-11-2111+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200000000000000000
χ42222-2-12-1-1-2-12-1-1−1+i3−1−i3-12-1-11-211−1+i3−1−i31-211-222-21−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i31−i3−1−i31+i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3001-211-12-1-1-12-1-11-2111−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000000000
χ43222-2-1-12-1-2-1-12-122-1-12-111-212211-21-222-2-1-12-1-1-12-12-22-2-1-12-1-1-12-1-2-20011-21-1-12-1-1-12-111-21-1-12-111-21-1-12-111-2111-2111-2100000000000000000
χ44222-2-1-12-1-2-1-12-1−1−i3−1+i3-1-12-111-21−1−i3−1+i311-21-222-21+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i31+i3−1+i31−i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i30011-21-1-12-1-1-12-111-211+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200000000000000000
χ45222-2-1-12-1-2-1-12-1−1+i3−1−i3-1-12-111-21−1+i3−1−i311-21-222-21−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i31−i3−1−i31+i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i30011-21-1-12-1-1-12-111-211−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200000000000000000
χ46222-2-1-1-12-2-1-1-1222-1-1-12111-222111-2-222-2-1-1-12-1-1-122-22-2-1-1-12-1-1-12-2-200111-2-1-1-12-1-1-12111-2-1-1-12111-2-1-1-12111-2111-2111-200000000000000000
χ47222-2-1-1-12-2-1-1-12−1−i3−1+i3-1-1-12111-2−1−i3−1+i3111-2-222-21+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i31+i3−1+i31−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i300111-2-1-1-12-1-1-12111-21+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300000000000000000
χ48222-2-1-1-12-2-1-1-12−1+i3−1−i3-1-1-12111-2−1+i3−1−i3111-2-222-21−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i31−i3−1−i31+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i300111-2-1-1-12-1-1-12111-21−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300000000000000000
χ4922-222-1-1-1-22-1-1-122-21112-1-1-122-2111-22-222-1-1-12-1-1-1-22-222-1-1-12-1-1-1-2-200-21112-1-1-1-21112-1-1-1-21112-1-1-1-21112-1-1-1-2111-211100000000000000000
χ5022-222-1-1-1-22-1-1-1−1−i3−1+i3-21112-1-1-1−1−i3−1+i3-2111-22-22−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i31−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i300-21112-1-1-1-21112-1-1-11+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000000000
χ5122-222-1-1-1-22-1-1-1−1+i3−1−i3-21112-1-1-1−1+i3−1−i3-2111-22-22−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i31+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i300-21112-1-1-1-21112-1-1-11−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000000000
χ5222-22-12-1-1-2-12-1-1221-211-12-1-1221-211-22-22-12-1-1-12-1-1-22-22-12-1-1-12-1-1-2-2001-211-12-1-11-211-12-1-11-211-12-1-11-211-12-1-11-2111-21100000000000000000
χ5322-22-12-1-1-2-12-1-1−1−i3−1+i31-211-12-1-1−1−i3−1+i31-211-22-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i3−1−i31−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3001-211-12-1-11-211-12-1-1−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200000000000000000
χ5422-22-12-1-1-2-12-1-1−1+i3−1−i31-211-12-1-1−1+i3−1−i31-211-22-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i3−1+i31+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3001-211-12-1-11-211-12-1-1−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000000000
χ5522-22-1-12-1-2-1-12-12211-21-1-12-12211-21-22-22-1-12-1-1-12-1-22-22-1-12-1-1-12-1-2-20011-21-1-12-111-21-1-12-111-21-1-12-111-21-1-12-111-2111-2100000000000000000
χ5622-22-1-12-1-2-1-12-1−1−i3−1+i311-21-1-12-1−1−i3−1+i311-21-22-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i3−1−i31−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i30011-21-1-12-111-21-1-12-1−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200000000000000000
χ5722-22-1-12-1-2-1-12-1−1+i3−1−i311-21-1-12-1−1+i3−1−i311-21-22-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i3−1+i31+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i30011-21-1-12-111-21-1-12-1−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200000000000000000
χ5822-22-1-1-12-2-1-1-1222111-2-1-1-1222111-2-22-22-1-1-12-1-1-12-22-22-1-1-12-1-1-12-2-200111-2-1-1-12111-2-1-1-12111-2-1-1-12111-2-1-1-12111-2111-200000000000000000
χ5922-22-1-1-12-2-1-1-12−1−i3−1+i3111-2-1-1-12−1−i3−1+i3111-2-22-221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i3−1−i31−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i300111-2-1-1-12111-2-1-1-12−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300000000000000000
χ6022-22-1-1-12-2-1-1-12−1+i3−1−i3111-2-1-1-12−1+i3−1−i3111-2-22-221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i3−1+i31+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i300111-2-1-1-12111-2-1-1-12−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300000000000000000
χ6122-2-22-1-1-122-1-1-122-2111-2111222-1-1-122-2-22-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-122002-1-1-12-1-1-1-2111-2111-2111-2111-2111-21112-1-1-12-1-1-100000000000000000
χ6222-2-22-1-1-122-1-1-1−1−i3−1+i3-2111-2111−1−i3−1+i32-1-1-122-2-2−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31+i31−i31−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3002-1-1-12-1-1-1-2111-21111+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000000000
χ6322-2-22-1-1-122-1-1-1−1+i3−1−i3-2111-2111−1+i3−1−i32-1-1-122-2-2−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31−i31+i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3002-1-1-12-1-1-1-2111-21111−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000000000
χ6422-2-2-12-1-12-12-1-1221-2111-21122-12-1-122-2-2-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-12200-12-1-1-12-1-11-2111-2111-2111-2111-2111-211-12-1-1-12-1-100000000000000000
χ6522-2-2-12-1-12-12-1-1−1−i3−1+i31-2111-211−1−i3−1+i3-12-1-122-2-21+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31+i31−i31−i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i300-12-1-1-12-1-11-2111-211−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000000000
χ6622-2-2-12-1-12-12-1-1−1+i3−1−i31-2111-211−1+i3−1−i3-12-1-122-2-21−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31−i31+i31+i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i300-12-1-1-12-1-11-2111-211−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000000000
χ6722-2-2-1-12-12-1-12-12211-2111-2122-1-12-122-2-2-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-12200-1-12-1-1-12-111-2111-2111-2111-2111-2111-21-1-12-1-1-12-100000000000000000
χ6822-2-2-1-12-12-1-12-1−1−i3−1+i311-2111-21−1−i3−1+i3-1-12-122-2-21+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31+i31−i31−i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i300-1-12-1-1-12-111-2111-21−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000000000
χ6922-2-2-1-12-12-1-12-1−1+i3−1−i311-2111-21−1+i3−1−i3-1-12-122-2-21−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31−i31+i31+i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i300-1-12-1-1-12-111-2111-21−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000000000
χ7022-2-2-1-1-122-1-1-1222111-2111-222-1-1-1222-2-2-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-122200-1-1-12-1-1-12111-2111-2111-2111-2111-2111-2-1-1-12-1-1-1200000000000000000
χ7122-2-2-1-1-122-1-1-12−1−i3−1+i3111-2111-2−1−i3−1+i3-1-1-1222-2-21+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31+i31−i31−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i300-1-1-12-1-1-12111-2111-2−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000000000
χ7222-2-2-1-1-122-1-1-12−1+i3−1−i3111-2111-2−1+i3−1−i3-1-1-1222-2-21−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31−i31+i31+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i300-1-1-12-1-1-12111-2111-2−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000000000
χ7333333333333330033333333003333-1-1-1-1000000000000000000000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000003330000-1-1-1-1000000
χ7433333333333330033333333003333-1-1-1-10000000000000000000000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-3-3-300001111000000
χ75333-33333-33333003333-3-3-3-300-3-3-3-31-1-110000000000000000000000331111-1-1-1-1-1-1-1-11111000000000000000000000000-33-30000-1-111000000
χ76333-33333-33333003333-3-3-3-300-3-3-3-31-1-110000000000000000000000-3-31111-1-1-1-1-1-1-1-111110000000000000000000000003-33000011-1-1000000
χ7733-333333-3333300-3-3-3-3333300-3-3-3-31-11-10000000000000000000000331111-1-1-1-11111-1-1-1-1000000000000000000000000-3-330000-11-11000000
χ7833-333333-3333300-3-3-3-3333300-3-3-3-31-11-10000000000000000000000-3-31111-1-1-1-11111-1-1-1-100000000000000000000000033-300001-11-1000000
χ7933-3-333333333300-3-3-3-3-3-3-3-3003333-1-111000000000000000000000033-1-1-1-1-1-1-1-1111111110000000000000000000000003-3-30000-111-1000000
χ8033-3-333333333300-3-3-3-3-3-3-3-3003333-1-1110000000000000000000000-3-3-1-1-1-1-1-1-1-111111111000000000000000000000000-33300001-1-11000000
χ814-40044440-4-4-4-4-2-2000000002200000000-2-2-2-2-2-2-2-2000022222222004i−4i00000000000000000000000000000000000000000002i−2i2i−2i0000000000
χ824-40044440-4-4-4-4-2-2000000002200000000-2-2-2-2-2-2-2-200002222222200−4i4i0000000000000000000000000000000000000000000−2i2i−2i2i0000000000
χ834-40044440-4-4-4-41+i31−i300000000−1−i3−1+i3000000001+i31+i31+i31+i31−i31−i31−i31−i30000−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3004i−4i00000000000000000000000000000000000000000002ζ11−2ζ112ζ7−2ζ70000000000
χ844-40044440-4-4-4-41+i31−i300000000−1−i3−1+i3000000001+i31+i31+i31+i31−i31−i31−i31−i30000−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300−4i4i0000000000000000000000000000000000000000000−2ζ112ζ11−2ζ72ζ70000000000
χ854-40044440-4-4-4-41−i31+i300000000−1+i3−1−i3000000001−i31−i31−i31−i31+i31+i31+i31+i30000−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3004i−4i00000000000000000000000000000000000000000002ζ7−2ζ72ζ11−2ζ110000000000
χ864-40044440-4-4-4-41−i31+i300000000−1+i3−1−i3000000001−i31−i31−i31−i31+i31+i31+i31+i30000−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300−4i4i0000000000000000000000000000000000000000000−2ζ72ζ7−2ζ112ζ110000000000
χ8766666-3-3-366-3-3-3006-3-3-36-3-3-3006-3-3-3-2-2-2-2000000000000000000000000-2111-2111-2111-211100000000000000000000000000000000000000000
χ886666-36-3-36-36-3-300-36-3-3-36-3-300-36-3-3-2-2-2-20000000000000000000000001-2111-2111-2111-21100000000000000000000000000000000000000000
χ896666-3-36-36-3-36-300-3-36-3-3-36-300-3-36-3-2-2-2-200000000000000000000000011-2111-2111-2111-2100000000000000000000000000000000000000000
χ906666-3-3-366-3-3-3600-3-3-36-3-3-3600-3-3-36-2-2-2-2000000000000000000000000111-2111-2111-2111-200000000000000000000000000000000000000000
χ91666-66-3-3-3-66-3-3-3006-3-3-3-633300-63332-2-220000000000000000000000002-1-1-1-2111-21112-1-1-100000000000000000000000000000000000000000
χ92666-6-36-3-3-6-36-3-300-36-3-33-633003-6332-2-22000000000000000000000000-12-1-11-2111-211-12-1-100000000000000000000000000000000000000000
χ93666-6-3-36-3-6-3-36-300-3-36-333-630033-632-2-22000000000000000000000000-1-12-111-2111-21-1-12-100000000000000000000000000000000000000000
χ94666-6-3-3-36-6-3-3-3600-3-3-36333-600333-62-2-22000000000000000000000000-1-1-12111-2111-2-1-1-1200000000000000000000000000000000000000000
χ9566-666-3-3-3-66-3-3-300-63336-3-3-300-63332-22-20000000000000000000000002-1-1-1-21112-1-1-1-211100000000000000000000000000000000000000000
χ9666-66-36-3-3-6-36-3-3003-633-36-3-3003-6332-22-2000000000000000000000000-12-1-11-211-12-1-11-21100000000000000000000000000000000000000000
χ9766-66-3-36-3-6-3-36-30033-63-3-36-30033-632-22-2000000000000000000000000-1-12-111-21-1-12-111-2100000000000000000000000000000000000000000
χ9866-66-3-3-36-6-3-3-3600333-6-3-3-3600333-62-22-2000000000000000000000000-1-1-12111-2-1-1-12111-200000000000000000000000000000000000000000
χ9966-6-66-3-3-366-3-3-300-6333-6333006-3-3-3-2-222000000000000000000000000-2111-21112-1-1-12-1-1-100000000000000000000000000000000000000000
χ10066-6-6-36-3-36-36-3-3003-6333-63300-36-3-3-2-2220000000000000000000000001-2111-211-12-1-1-12-1-100000000000000000000000000000000000000000
χ10166-6-6-3-36-36-3-36-30033-6333-6300-3-36-3-2-22200000000000000000000000011-2111-21-1-12-1-1-12-100000000000000000000000000000000000000000
χ10266-6-6-3-3-366-3-3-3600333-6333-600-3-3-36-2-222000000000000000000000000111-2111-2-1-1-12-1-1-1200000000000000000000000000000000000000000
χ1038-8008-4-4-40-8444-4-4000000004400000000-4222-422200004-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000
χ1048-8008-4-4-40-84442+2i32−2i300000000−2−2i3−2+2i3000000002+2i3−1−i3−1−i3−1−i32−2i3−1+i3−1+i3−1+i30000−2−2i31+i31+i31+i3−2+2i31−i31−i31−i30000000000000000000000000000000000000000000000000000000000000
χ1058-8008-4-4-40-84442−2i32+2i300000000−2+2i3−2−2i3000000002−2i3−1+i3−1+i3−1+i32+2i3−1−i3−1−i3−1−i30000−2+2i31−i31−i31−i3−2−2i31+i31+i31+i30000000000000000000000000000000000000000000000000000000000000
χ1068-800-48-4-404-844-4-40000000044000000002-4222-4220000-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000
χ1078-800-48-4-404-8442+2i32−2i300000000−2−2i3−2+2i300000000−1−i32+2i3−1−i3−1−i3−1+i32−2i3−1+i3−1+i300001+i3−2−2i31+i31+i31−i3−2+2i31−i31−i30000000000000000000000000000000000000000000000000000000000000
χ1088-800-48-4-404-8442−2i32+2i300000000−2+2i3−2−2i300000000−1+i32−2i3−1+i3−1+i3−1−i32+2i3−1−i3−1−i300001−i3−2+2i31−i31−i31+i3−2−2i31+i31+i30000000000000000000000000000000000000000000000000000000000000
χ1098-800-4-48-4044-84-4-400000000440000000022-4222-420000-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000
χ1108-800-4-48-4044-842+2i32−2i300000000−2−2i3−2+2i300000000−1−i3−1−i32+2i3−1−i3−1+i3−1+i32−2i3−1+i300001+i31+i3−2−2i31+i31−i31−i3−2+2i31−i30000000000000000000000000000000000000000000000000000000000000
χ1118-800-4-48-4044-842−2i32+2i300000000−2+2i3−2−2i300000000−1+i3−1+i32−2i3−1+i3−1−i3−1−i32+2i3−1−i300001−i31−i3−2+2i31−i31+i31+i3−2−2i31+i30000000000000000000000000000000000000000000000000000000000000
χ1128-800-4-4-480444-8-4-4000000004400000000222-4222-40000-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000
χ1138-800-4-4-480444-82+2i32−2i300000000−2−2i3−2+2i300000000−1−i3−1−i3−1−i32+2i3−1+i3−1+i3−1+i32−2i300001+i31+i31+i3−2−2i31−i31−i31−i3−2+2i30000000000000000000000000000000000000000000000000000000000000
χ1148-800-4-4-480444-82−2i32+2i300000000−2+2i3−2−2i300000000−1+i3−1+i3−1+i32−2i3−1−i3−1−i3−1−i32+2i300001−i31−i31−i3−2+2i31+i31+i31+i3−2−2i30000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.