Finite Group Databasebeta

← Group #13164595

Character table — Group #13164595

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112224444666688888822444888812121212161616161616224448888121212121616161616162244488881212121216161616161622444888812121212161616161616991818183636363654545454727272727272
order1222433662444666612123666123366612121266661212918181836991818183636361818181836369181818369918181836363618181818363691818183699181818363636181818183636222246666244466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ311111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ4111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1
χ5111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32
χ6111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32
χ711-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-1
χ811-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32
χ911-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32
χ1011-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111
χ1111-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32
χ1211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32
χ13333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000
χ14333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000
χ1533-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-1000000
χ1633-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-111000000
χ174-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-2220000000000
χ184-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i30000000000
χ194-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i30000000000
χ2011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321+i32
χ2211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321−i32
χ23111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1-1-1-111-1-1-1-11-1-11-11-1111
χ24111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32-1-1-1111−i321+i321−i321+i321-1-111−i32−1+i321+i32−1−i32−1+i32−1−i32
χ25111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32-1-1-1111+i321−i321+i321−i321-1-111+i32−1−i321−i32−1+i32−1−i32−1+i32
χ2611-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-1-1-11-11-1-1-1-11-11-11-11-111
χ2711-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32
χ2811-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32
χ2911-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111111-1-1
χ3011-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32-1-111-11−i321+i321−i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321+i32
χ3111-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32-1-111-11+i321−i321+i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321−i32
χ32333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000-3-3-3-3-300001111000000
χ33333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000-3-3-3330000-111-1000000
χ3433-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-1000000-3-33-330000-11-11000000
χ3533-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-111000000-3-333-3000011-1-1000000
χ364-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-2220000000000-4400022-2-20000000000
χ374-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i30000000000-44000−1+i3−1−i31−i31+i30000000000
χ384-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i30000000000-44000−1−i3−1+i31+i31−i30000000000
χ3922222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000
χ4022222−1+i3−1−i3−1+i3−1−i32222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322222−1+i3−1−i3−1+i3−1−i32222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321+i32-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321+i32-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321+i320000000000000000000
χ4122222−1−i3−1+i3−1−i3−1+i32222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322222−1−i3−1+i3−1−i3−1+i32222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321−i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321−i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321−i320000000000000000000
χ42222-2-22222-222-22-22-2-2-2222-2-22222-222-22-22-2-2-2-1-1-111-1-1-1-11-1-11-11-1111-1-1-111-1-1-1-11-1-11-11-1111-1-1-111-1-1-1-11-1-11-11-11110000000000000000000
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χ100222-2-2−1+i3−1−i3−1+i3−1−i3-222-2−1+i31−i3−1−i31+i31−i31+i3-1-1-1111−i321+i321−i321+i321-1-111−i32−1+i321+i32−1−i32−1+i32−1−i32ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ2−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ7+ζ8−ζ7−ζ8ζ+ζ2−ζ−ζ2−ζ7−ζ8−ζ−ζ2ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ7−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ4−ζ2−ζ4ζ5+ζ7−ζ5−ζ7−ζ2−ζ4−ζ5−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ8−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ+ζ5−ζ−ζ5ζ4+ζ8−ζ4−ζ8−ζ−ζ5−ζ4−ζ80000000000000000000
χ101222-2-2−1−i3−1+i3−1−i3−1+i3-222-2−1−i31+i3−1+i31−i31+i31−i3-1-1-1111+i321−i321+i321−i321-1-111+i32−1−i321−i32−1+i32−1−i32−1+i32ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ8−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ2−ζ−ζ2ζ7+ζ8−ζ7−ζ8−ζ−ζ2−ζ7−ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ4−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ5+ζ7−ζ5−ζ7ζ2+ζ4−ζ2−ζ4−ζ5−ζ7−ζ2−ζ4ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ5−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ8−ζ4−ζ8ζ+ζ5−ζ−ζ5−ζ4−ζ8−ζ−ζ50000000000000000000
χ10222-22-22222-22-22-22-22-2-2-1-11-11-1-1-1-11-11-11-11-111ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ70000000000000000000
χ10322-22-2−1+i3−1−i3−1+i3−1−i3-22-221−i3−1+i31+i3−1−i31−i31+i3-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ2−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ7−ζ8ζ7+ζ8−ζ−ζ2ζ+ζ2−ζ7−ζ8−ζ−ζ2ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ7−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ2−ζ4ζ2+ζ4−ζ5−ζ7ζ5+ζ7−ζ2−ζ4−ζ5−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ8−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ−ζ5ζ+ζ5−ζ4−ζ8ζ4+ζ8−ζ−ζ5−ζ4−ζ80000000000000000000
χ10422-22-2−1−i3−1+i3−1−i3−1+i3-22-221+i3−1−i31−i3−1+i31+i31−i3-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ8−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ−ζ2ζ+ζ2−ζ7−ζ8ζ7+ζ8−ζ−ζ2−ζ7−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ4−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ5−ζ7ζ5+ζ7−ζ2−ζ4ζ2+ζ4−ζ5−ζ7−ζ2−ζ4ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ5−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ4−ζ8ζ4+ζ8−ζ−ζ5ζ+ζ5−ζ4−ζ8−ζ−ζ50000000000000000000
χ10522-2-22222222-2-2-2-2-2-222-1-111-1-1-1-1-1-1-1111111-1-1ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ70000000000000000000
χ10622-2-22−1+i3−1−i3−1+i3−1−i322-2-21−i31−i31+i31+i3−1+i3−1−i3-1-111-11−i321+i321−i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321+i32ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ2ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ7−ζ8−ζ7−ζ8−ζ−ζ2−ζ−ζ2ζ7+ζ8ζ+ζ2ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ4−ζ2−ζ4−ζ5−ζ7−ζ5−ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ−ζ5−ζ−ζ5−ζ4−ζ8−ζ4−ζ8ζ+ζ5ζ4+ζ80000000000000000000
χ10722-2-22−1−i3−1+i3−1−i3−1+i322-2-21+i31+i31−i31−i3−1−i3−1+i3-1-111-11+i321−i321+i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321−i32ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ8ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ2−ζ−ζ2−ζ7−ζ8−ζ7−ζ8ζ+ζ2ζ7+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ5−ζ7−ζ5−ζ7−ζ2−ζ4−ζ2−ζ4ζ5+ζ7ζ2+ζ4ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ5ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ8−ζ4−ζ8−ζ−ζ5−ζ−ζ5ζ4+ζ8ζ+ζ50000000000000000000
χ108666660000-2-2-2-2000000-3-3-3-3-3000011110000003ζ4+3ζ53ζ4+3ζ53ζ4+3ζ53ζ4+3ζ53ζ4+3ζ50000−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ50000003ζ+3ζ83ζ+3ζ83ζ+3ζ83ζ+3ζ83ζ+3ζ80000−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ80000003ζ2+3ζ73ζ2+3ζ73ζ2+3ζ73ζ2+3ζ73ζ2+3ζ70000−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ70000000000000000000000000
χ109666-6-600002-2-22000000-3-3-3330000-111-10000003ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ5−3ζ4−3ζ50000ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ50000003ζ+3ζ83ζ+3ζ83ζ+3ζ8−3ζ−3ζ8−3ζ−3ζ80000ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ80000003ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ7−3ζ2−3ζ70000ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ70000000000000000000000000
χ11066-66-600002-22-2000000-3-33-330000-11-110000003ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ53ζ4+3ζ5−3ζ4−3ζ50000ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ50000003ζ+3ζ83ζ+3ζ8−3ζ−3ζ83ζ+3ζ8−3ζ−3ζ80000ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ80000003ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ73ζ2+3ζ7−3ζ2−3ζ70000ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ70000000000000000000000000
χ11166-6-660000-2-222000000-3-333-3000011-1-10000003ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ5−3ζ4−3ζ53ζ4+3ζ50000−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ50000003ζ+3ζ83ζ+3ζ8−3ζ−3ζ8−3ζ−3ζ83ζ+3ζ80000−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ80000003ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ7−3ζ2−3ζ73ζ2+3ζ70000−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ70000000000000000000000000
χ1128-8000-4-4440000000000-4400022-2-200000000004ζ4+4ζ5−4ζ4−4ζ5000−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ500000000004ζ+4ζ8−4ζ−4ζ8000−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ800000000004ζ2+4ζ7−4ζ2−4ζ7000−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ700000000000000000000000000000
χ1138-80002−2i32+2i3−2+2i3−2−2i30000000000-44000−1+i3−1−i31−i31+i300000000004ζ4+4ζ5−4ζ4−4ζ5000−2ζ7−2ζ8−2ζ−2ζ22ζ7+2ζ82ζ+2ζ200000000004ζ+4ζ8−4ζ−4ζ8000−2ζ2−2ζ4−2ζ5−2ζ72ζ2+2ζ42ζ5+2ζ700000000004ζ2+4ζ7−4ζ2−4ζ7000−2ζ−2ζ5−2ζ4−2ζ82ζ+2ζ52ζ4+2ζ800000000000000000000000000000
χ1148-80002+2i32−2i3−2−2i3−2+2i30000000000-44000−1−i3−1+i31+i31−i300000000004ζ4+4ζ5−4ζ4−4ζ5000−2ζ−2ζ2−2ζ7−2ζ82ζ+2ζ22ζ7+2ζ800000000004ζ+4ζ8−4ζ−4ζ8000−2ζ5−2ζ7−2ζ2−2ζ42ζ5+2ζ72ζ2+2ζ400000000004ζ2+4ζ7−4ζ2−4ζ7000−2ζ4−2ζ8−2ζ−2ζ52ζ4+2ζ82ζ+2ζ500000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.