Finite Group Databasebeta

← Group #14412421

Character table — Group #14412421

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222444444444444222244444488888888888822224444448888888888882222444444888888888888222244444488888888888822224444448888888888882222444444888888888888222244444488888888888815151515303030303030606060606060606060606060
order122222444444444444888836666612121212121212121212121224242424510101010102020202020202020202020204040404051010101010202020202020202020202020404040401530303030306060606060606060606060601201201201201530303030306060606060606060606060601201201201201530303030306060606060606060606060601201201201201530303030306060606060606060606060601201201201202222224444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ51111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-1
χ61111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-111
χ71111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-111
χ81111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-1
χ91-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i
χ101-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii
χ111-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii
χ121-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i
χ131-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii
χ141-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i
χ151-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i
χ161-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii
χ17222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ182222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000
χ192-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-222000000000000
χ202-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-22000000000000
χ2144-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000
χ224-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-4000000000000000000
χ2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ251111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ271111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-11111-1-11-1-1111-1-111-1-111-1-1-1-1-1-111-111-1-1-111-1-111-1-111
χ281111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-111-1-1-1-111-111-1-1-11111-1-111-1-1
χ291111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-111-1-1-1-111-111-111-1-1-1-11111-1-1
χ301111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-11111-1-11-1-11-1-111-1-11111-1-1-1-1-1-111-111-111-1-111-1-1-1-111
χ311-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i1-1-111-111-1-1i−ii−i1-11-1i−ii−i-111-1-11-1-111−ii−ii-11-11−ii−ii
χ321-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii1-1-111-111-1-1i−ii−i-11-11−ii−ii-111-1-11-1-111−ii−ii1-11-1i−ii−i
χ331-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii1-1-111-111-1-1−ii−ii1-11-1−ii−ii-111-1-11-1-111i−ii−i-11-11i−ii−i
χ341-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i1-1-111-111-1-1−ii−ii-11-11i−ii−i-111-1-11-1-111i−ii−i1-11-1−ii−ii
χ351-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii1-1-11-111-11-1i−i−ii1-1-11i−i−ii-111-11-1-11-11−iii−i-111-1−iii−i
χ361-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i1-1-11-111-11-1i−i−ii-111-1−iii−i-111-11-1-11-11−iii−i1-1-11i−i−ii
χ371-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i1-1-11-111-11-1−iii−i1-1-11−iii−i-111-11-1-11-11i−i−ii-111-1i−i−ii
χ381-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii1-1-11-111-11-1−iii−i-111-1i−i−ii-111-11-1-11-11i−i−ii1-1-11−iii−i
χ39222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000
χ402222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000-2-2-2-2222-2-22000000000000
χ412-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-2220000000000002-2-222-2-2-222000000000000-222-2-2222-2-2000000000000
χ422-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-220000000000002-2-22-22-22-22000000000000-222-22-22-22-2000000000000
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χ1872-2-222-222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-111-1-11-1-111i−ii−i-11-11i−ii−i−1−521+521+52−1−52−1−521+52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−521−52−1+52−1+521−52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ47−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ470000000000000000000000
χ1882-2-222-222-2-2−2i2i−2i2i-22-222i−2i2i−2i-111-1-11-1-111i−ii−i1-11-1−ii−ii−1−521+521+52−1−52−1−521+52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ591+52−1−521+52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−521−52−1+52−1+521−52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ471−52−1+521−52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ31−ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ47ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ43+ζ47−ζ43−ζ47ζ43+ζ47−ζ43−ζ470000000000000000000000
χ1892-2-22-222-22-22i−2i−2i2i2-2-222i−2i−2i2i-111-11-1-11-11−iii−i-111-1−iii−i−1−521+521+52−1−521+52−1−52−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1−521+521+52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−521−52−1+521−52−1+52−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1+521−521−52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ31+ζ59−ζ31−ζ59−ζ31−ζ59ζ31+ζ59−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ31+ζ59−ζ31−ζ59−ζ31−ζ59ζ31+ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ43+ζ47−ζ43−ζ47−ζ43−ζ47ζ43+ζ47−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ43+ζ47−ζ43−ζ47−ζ43−ζ47ζ43+ζ470000000000000000000000
χ1902-2-22-222-22-22i−2i−2i2i-222-2−2i2i2i−2i-111-11-1-11-11−iii−i1-1-11i−i−ii−1−521+521+52−1−521+52−1−52−1−521+52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ591+52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−521−52−1+521−52−1+52−1+521−52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ471−52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ31+ζ59−ζ31−ζ59−ζ31−ζ59ζ31+ζ59ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59ζ31+ζ59−ζ31−ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ43+ζ47−ζ43−ζ47−ζ43−ζ47ζ43+ζ47ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47ζ43+ζ47−ζ43−ζ470000000000000000000000
χ1912-2-22-222-22-2−2i2i2i−2i2-2-22−2i2i2i−2i-111-11-1-11-11i−i−ii-111-1i−i−ii−1−521+521+52−1−521+52−1−52−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1−521+521+52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−521−52−1+521−52−1+52−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1+521−521−52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59ζ31+ζ59−ζ31−ζ59−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ31−ζ59ζ31+ζ59ζ31+ζ59−ζ31−ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47ζ43+ζ47−ζ43−ζ47−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ43−ζ47ζ43+ζ47ζ43+ζ47−ζ43−ζ470000000000000000000000
χ1922-2-22-222-22-2−2i2i2i−2i-222-22i−2i−2i2i-111-11-1-11-11i−i−ii1-1-11−iii−i−1−521+521+52−1−521+52−1−52−1−521+52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591+52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−521−52−1+521−52−1+52−1+521−52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471−52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59ζ31+ζ59−ζ31−ζ59ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ31+ζ59−ζ31−ζ59−ζ31−ζ59ζ31+ζ59−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47ζ43+ζ47−ζ43−ζ47ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ43+ζ47−ζ43−ζ47−ζ43−ζ47ζ43+ζ470000000000000000000000
χ193444444-4-4-4-4000000000000-2-2-2-2-2-22222000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5000000000000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ580000000000000000000000000000000000
χ1944444-4-4-444-4000000000000-2-2-2-2222-2-22000000000000−1−5−1−5−1−5−1−51+51+51+5−1−5−1−51+5000000000000−1+5−1+5−1+5−1+51−51−51−5−1+5−1+51−5000000000000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ580000000000000000000000000000000000
χ1954-4-444-4-4-444000000000000-222-2-2222-2-2000000000000−1−51+51+5−1−5−1−51+51+51+5−1−5−1−5000000000000−1+51−51−5−1+5−1+51−51−51−5−1+5−1+5000000000000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ34000000000000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46000000000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ580000000000000000000000000000000000
χ1964-4-44-44-44-44000000000000-222-22-22-22-2000000000000−1−51+51+5−1−51+5−1−51+5−1−51+5−1−5000000000000−1+51−51−5−1+51−5−1+51−5−1+51−5−1+5000000000000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ34000000000000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ580000000000000000000000000000000000
χ19788-8-8000000000000000000-4-444000000000000000000−2−25−2−252+252+25000000000000000000−2+25−2+252−252−25000000000000000000−4ζ26−4ζ34−4ζ26−4ζ344ζ26+4ζ344ζ26+4ζ34000000000000000000−4ζ14−4ζ46−4ζ14−4ζ464ζ14+4ζ464ζ14+4ζ46000000000000000000−4ζ22−4ζ38−4ζ22−4ζ384ζ22+4ζ384ζ22+4ζ38000000000000000000−4ζ2−4ζ58−4ζ2−4ζ584ζ2+4ζ584ζ2+4ζ580000000000000000000000000000000000000000
χ1988-88-8000000000000000000-44-44000000000000000000−2−252+25−2−252+25000000000000000000−2+252−25−2+252−25000000000000000000−4ζ26−4ζ344ζ26+4ζ34−4ζ26−4ζ344ζ26+4ζ34000000000000000000−4ζ14−4ζ464ζ14+4ζ46−4ζ14−4ζ464ζ14+4ζ46000000000000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ22−4ζ384ζ22+4ζ38000000000000000000−4ζ2−4ζ584ζ2+4ζ58−4ζ2−4ζ584ζ2+4ζ580000000000000000000000000000000000000000

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