Finite Group Databasebeta

← Group #14514221

Character table — Group #14514221

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1122244446666888888112224444666688888822444888812121212161616161616224448888121212121616161616162244488881212121216161616161622444888812121212161616161616551010102020202030303030404040404040551010102020202030303030404040404040
order124443366222412121212121222444666622241212121212125102020201515303010101020606060606060510202020151530301010102060606060606010102020203030303010101020606060606060101020202030303030101010206060606060604444412121212444412121212121244444121212124444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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−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+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
χ4111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1
χ5111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32
χ6111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32
χ711-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-1
χ811-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32
χ911-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32
χ1011-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-11
χ1111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32
χ1211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32
χ13333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000
χ14333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000
χ1533-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-1000000
χ1633-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-1000000
χ174-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-2220000000000
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−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+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i30000000000
χ20111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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−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+i32-1-1-1-1-11−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+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−i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321+i321−i321−i321−i32
χ23111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1-1-1-111-1-1-1-1-111-1-111-111-1-1-111-1-1-1-1-111-1-111-111
χ24111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32
χ25111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32
χ2611-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-1-1-11-11-1-1-1-11-11-11-111-11-1-11-11-1-1-1-11-11-11-111-11
χ2711-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i32
χ2811-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i32
χ2911-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-11-1-111-1-1-1-1-111-1-111-111-1-1-111-1-1-1-1-111-1-111-111-1
χ3011-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32
χ3111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32
χ32333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000-3-3-3-3-300001111000000-3-3-3-3-300001111000000
χ33333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000333-3-30000-111-1000000-3-3-33300001-1-11000000-3-3-33300001-1-11000000
χ3433-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-1000000-3-33-330000-11-11000000-3-33-330000-11-11000000
χ3533-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-100000033-3-33000011-1-1000000-3-333-30000-1-111000000-3-333-30000-1-111000000
χ364-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-22200000000004-4000-2-2220000000000-4400022-2-20000000000-4400022-2-20000000000
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−i300000000004-40001−i31+i3−1+i3−1−i30000000000-44000−1+i3−1−i31−i31+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+i300000000004-40001+i31−i3−1−i3−1+i30000000000-44000−1−i3−1+i31+i31−i30000000000-44000−1−i3−1+i31+i31−i30000000000
χ391111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ4011111−1+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+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+i32-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321−i321+i321+i321+i32iiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43iiii−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−i−i−i−iζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ4111111−1−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−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−i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321+i321−i321−i321−i32iiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59iiii−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−i−i−i−iζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ42111-1-111111-1-111-1-11-1-1-1-1-111-1-1-1-1-111-1-111-111111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1-1-1-111-1-1-1-1-111-1-111-111-1-1-111-1-1-1-1-111-1-111-111iii−i−iiiiii−i−iii−i−ii−i−i−i−i−iii−i−i−i−i−iii−i−iii−iii
χ43111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32iii−i−i−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43i−i−ii−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−i−i−iiiζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−iii−iζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ44111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32iii−i−i−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59i−i−ii−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−i−i−iiiζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−iii−iζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ4511-11-11111-11-11-11-1-11-1-1-11-11-1-1-1-11-11-11-111-1111-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-1-1-11-11-1-1-1-11-11-11-111-11-1-11-11-1-1-1-11-11-11-111-11ii−ii−iiiii−ii−ii−ii−i−ii−i−i−ii−ii−i−i−i−ii−ii−ii−iii−ii
χ4611-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i32ii−ii−i−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ii−iiζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−i−ii−iiζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43i−ii−i−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ4711-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i32ii−ii−i−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ii−iiζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−i−ii−iiζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59i−ii−i−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ4811-1-111111-1-111-1-11-1-11-1-111-1-1-1-1-111-1-111-111-111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-11-1-111-1-1-1-1-111-1-111-111-1-1-111-1-1-1-1-111-1-111-111-1ii−i−iiiiii−i−iii−i−ii−i−ii−i−iii−i−i−i−i−iii−i−iii−iii−i
χ4911-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32ii−i−ii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−i−iiiζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−i−iii−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ii−i−i−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ5011-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32ii−i−ii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−i−iiiζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−i−iii−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ii−i−i−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ51333330000-1-1-1-1000000-3-3-3-3-300001111000000333330000-1-1-1-1000000333330000-1-1-1-1000000-3-3-3-3-300001111000000-3-3-3-3-3000011110000003i3i3i3i3i0000−i−i−i−i000000−3i−3i−3i−3i−3i0000iiii000000
χ52333-3-30000-111-1000000-3-3-33300001-1-11000000333-3-30000-111-1000000333-3-30000-111-1000000-3-3-33300001-1-11000000-3-3-33300001-1-110000003i3i3i−3i−3i0000−iii−i000000−3i−3i−3i3i3i0000i−i−ii000000
χ5333-33-300001-11-1000000-3-33-330000-11-1100000033-33-300001-11-100000033-33-300001-11-1000000-3-33-330000-11-11000000-3-33-330000-11-110000003i3i−3i3i−3i0000i−ii−i000000−3i−3i3i−3i3i0000−ii−ii000000
χ5433-3-33000011-1-1000000-3-333-30000-1-11100000033-3-33000011-1-100000033-3-33000011-1-1000000-3-333-30000-1-111000000-3-333-30000-1-1110000003i3i−3i−3i3i0000ii−i−i000000−3i−3i3i3i−3i0000−i−iii000000
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χ14966-6-66000022-2-2000000-6-666-60000-2-222000000−3−352−3−3523+3523+352−3−3520000−1−52−1−521+521+52000000−3+352−3+3523−3523−352−3+3520000−1+52−1+521−521−520000003+3523+352−3−352−3−3523+35200001+521+52−1−52−1−520000003−3523−352−3+352−3+3523−35200001−521−52−1+52−1+5200000000000000000000000000000000000000000000
χ1508-8000-4-4440000000000-8800044-4-40000000000−2−252+250001+51+5−1−5−1−50000000000−2+252−250001−51−5−1+5−1+500000000002+25−2−25000−1−5−1−51+51+500000000002−25−2+25000−1+5−1+51−51−5000000000000000000000000000000000000000000000000
χ1518-80002−2i32+2i3−2+2i3−2−2i30000000000-88000−2+2i3−2−2i32−2i32+2i30000000000−2−252+250002ζ14+2ζ262ζ34+2ζ46−2ζ14−2ζ26−2ζ34−2ζ460000000000−2+252−250002ζ2+2ζ382ζ22+2ζ58−2ζ2−2ζ38−2ζ22−2ζ5800000000002+25−2−25000−2ζ14−2ζ26−2ζ34−2ζ462ζ14+2ζ262ζ34+2ζ4600000000002−25−2+25000−2ζ2−2ζ38−2ζ22−2ζ582ζ2+2ζ382ζ22+2ζ58000000000000000000000000000000000000000000000000
χ1528-80002+2i32−2i3−2−2i3−2+2i30000000000-88000−2−2i3−2+2i32+2i32−2i30000000000−2−252+250002ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ260000000000−2+252−250002ζ22+2ζ582ζ2+2ζ38−2ζ22−2ζ58−2ζ2−2ζ3800000000002+25−2−25000−2ζ34−2ζ46−2ζ14−2ζ262ζ34+2ζ462ζ14+2ζ2600000000002−25−2+25000−2ζ22−2ζ58−2ζ2−2ζ382ζ22+2ζ582ζ2+2ζ38000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.