Finite Group Databasebeta

← Group #14514229

Character table — Group #14514229

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444444444444444446666888888888888888888881010101012121212121212121212121212121212121216161616161616161616161616161616161616161616161616161616202040404040404040406060606080808080
order1222445510101010101022336666661010101010101010202020202244121212121515151530303030303030303030303044444410101010202020202020202020202020666630303030303030303030303030303030606060606060606022121212121212121244446666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+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−i321111111111111111111111−1+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−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32
χ41111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+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−i32-1-1-1-1111111111111111111−1+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−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i32
χ51111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−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+i321111111111111111111111−1−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+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32
χ61111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−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+i32-1-1-1-1111111111111111111−1−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+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i32
χ711111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1
χ811111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111
χ911111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111−1+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−i321111-1-111111111-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-11−i321−i321+i321+i32
χ1011111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111−1+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−i32-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i32
χ1111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-111111111−1−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+i321111-1-111111111-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-11+i321+i321−i321−i32
χ1211111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-111111111−1−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+i32-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i32
χ131111-1-1111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-11-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-11-11-11-1
χ141111-1-1111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1111-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11-11-11
χ151111-1-1111111111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-1-1-1111−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−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-1-1-1-111111111-1-1-1-1−1+i321−i32−1−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−i321+i321+i321+i321+i321-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32
χ161111-1-1111111111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-1-1-1111−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−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111-1-1-1-1-111111111-1-1-1-1−1+i321−i32−1−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−i321+i321+i321+i321+i32-111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i32
χ171111-1-1111111111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-1-1-1111+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+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1-1-1-111111111-1-1-1-1−1−i321+i32−1+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+i321−i321−i321−i321−i321-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32
χ181111-1-1111111111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-1-1-1111+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+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111-1-1-1-1-111111111-1-1-1-1−1−i321+i32−1+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+i321−i321−i321−i321−i32-111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i32
χ191111-1-111111111-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-11-1-1-1-11111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-11-11-11
χ201111-1-111111111-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-11-1-1-1-11111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-111-11-11-1
χ211111-1-111111111-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1-1-1111−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−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-11-1-1-1-11111-1-1-1-111111−i32−1+i321+i32−1−i321−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+i32-11−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111−i32−1+i321+i32−1−i32
χ221111-1-111111111-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1-1-1111−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−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-11-1-1-1-11111-1-1-1-111111−i32−1+i321+i32−1−i321−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+i321-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-1−1+i321−i32−1−i321+i32
χ231111-1-111111111-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1-1-1111+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+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-11-1-1-1-11111-1-1-1-111111+i32−1−i321−i32−1+i321+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−i32-11−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111+i32−1−i321−i32−1+i32
χ241111-1-111111111-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1-1-1111+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+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-11-1-1-1-11111-1-1-1-111111+i32−1−i321−i32−1+i321+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−i321-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-1−1−i321+i32−1+i321−i32
χ25222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ26222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+i3−1+i3−1−i3−1−i3ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ4000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+i3−1+i3−1−i3−1−i3ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4000000000000000000
χ27222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1−i3−1−i3−1+i3−1+i3ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ14000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−i3−1−i3−1+i3−1+i3ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14000000000000000000
χ28222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ29222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522222−1+i3−1+i3−1−i3−1−i3ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ40000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−i31−i31+i31+i3−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4000000000000000000
χ30222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522222−1−i3−1−i3−1+i3−1+i3ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ140000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521+i31+i31−i31−i3−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14000000000000000000
χ31222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ32222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1+i3−1+i3−1−i3−1−i3ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ13000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+i3−1+i3−1−i3−1−i3ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13000000000000000000
χ33222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−i3−1−i3−1+i3−1+i3ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ8000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−i3−1−i3−1+i3−1+i3ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8000000000000000000
χ34222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ35222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522222−1+i3−1+i3−1−i3−1−i3ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ130000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521−i31−i31+i31+i3−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13000000000000000000
χ36222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522222−1−i3−1−i3−1+i3−1+i3ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ80000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+i31+i31−i31−i3−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8000000000000000000
χ372222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222222222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ382222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2221−i31−i31+i31+i3ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ400002-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+i31−i3−1−i31+i3ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4000000000000000000
χ392222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2221+i31+i31−i31−i3ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ1400002-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1−i31+i3−1+i31−i3ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14000000000000000000
χ402222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ412222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2221−i31−i31+i31+i3ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ+ζ40000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−i3−1+i31+i3−1−i3−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4000000000000000000
χ422222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2221+i31+i31−i31−i3ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ14ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ7+ζ13ζ+ζ4ζ2+ζ8ζ11+ζ140000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521+i3−1−i31−i3−1+i3−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14000000000000000000
χ432222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222222222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ442222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2221−i31−i31+i31+i3ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ1300002-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1+i31−i3−1−i31+i3ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13000000000000000000
χ452222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2221+i31+i31−i31−i3ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ2+ζ800002-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−i31+i3−1+i31−i3ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8000000000000000000
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χ472222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2221−i31−i31+i31+i3ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ13ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13ζ11+ζ14ζ2+ζ8ζ+ζ4ζ7+ζ130000-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521−i3−1+i31+i3−1−i3−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ13000000000000000000
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Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.