Finite Group Databasebeta

← Group #72220526

Character table — Group #72220526

Order 7776.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111222333333666666999999999999999999912121818181818181818181818181818181818242424242436363636363636363636545454545454545454545454545454545454545454547272727272727272727272727272727272969696969696216216216216216216216216216216216216288288288288
order133333226666666666233666666666666666633246666666666666121233333333366666624666666666612121212121212121212336666666666666663333336666661212121212123333
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111−1+i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+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
χ41111111111111111111111111111111111111−1+i32−1−i32-1-1-1-111111111111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ51111111111111111111111111111111111111−1−i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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
χ61111111111111111111111111111111111111−1−i32−1+i32-1-1-1-111111111111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ71111111111111111111−1+i32−1−i3211−1+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−i32111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+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−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ81111111111111111111−1+i32−1−i3211−1+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−i3211-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i32−1+i32−1−i32
χ91111111111111111111−1+i32−1−i3211−1+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−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i321111−1+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−i32−1+i32−1−i32111−1+i32−1−i32−1−i3211−1+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−i321−1−i321−1+i32−1−i3211−1+i32
χ101111111111111111111−1+i32−1−i3211−1+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−i32-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32111−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i321+i32-1-11−i321−i321+i32-11+i32-11−i32−1−i3211−1+i32
χ111111111111111111111−1+i32−1−i3211−1+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+i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321−1+i32−1−i3211111−1+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−i32−1+i32−1−i32111−1−i32−1+i321−1+i32−1−i321−1+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+i321−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321
χ121111111111111111111−1+i32−1−i3211−1+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+i32-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32111−1−i32−1+i321−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-11−i321+i32-11+i32-11−i321−i321+i32-11−1+i32−1−i321
χ131111111111111111111−1−i32−1+i3211−1−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+i32111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−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+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ141111111111111111111−1−i32−1+i3211−1−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+i3211-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i32−1−i32−1+i32
χ151111111111111111111−1−i32−1+i3211−1−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−i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321−1−i32−1+i3211111−1−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+i32−1−i32−1+i32111−1+i32−1−i321−1−i32−1+i321−1−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−i321−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321
χ161111111111111111111−1−i32−1+i3211−1−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−i32-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32111−1+i32−1−i321−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-11+i321−i32-11−i32-11+i321+i321−i32-11−1−i32−1+i321
χ171111111111111111111−1−i32−1+i3211−1−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+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i321111−1−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+i32−1−i32−1+i32111−1−i32−1+i32−1+i3211−1−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+i321−1+i321−1−i32−1+i3211−1−i32
χ181111111111111111111−1−i32−1+i3211−1−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+i32-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32111−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i321−i32-1-11+i321+i321−i32-11−i32-11+i32−1+i3211−1−i32
χ1922222222222222222222222222222222222222200002222222222200-1-1-12222222222220000000000000000000000-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1
χ202222222222222222222222222222222222222−1+i3−1−i300002222222222200-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000000000000000000-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i320000000000001−i321−i321+i321+i32
χ212222222222222222222222222222222222222−1−i3−1+i300002222222222200-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000000000000000000000-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i320000000000001+i321+i321−i321−i32
χ222222222222222222222−1+i3−1−i322−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3220000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-1-1-122−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i300000000000000000000001−i321+i32-1-1-122−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1-1-10000000000001−i321+i321−i321+i32
χ232222222222222222222−1+i3−1−i322−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i30000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-1-1-1−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i322−1+i300000000000000000000001−i321+i32-1-1-1−1+i3−1−i3−1−i322−1+i31−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i320000000000001+i32-1-11−i32
χ242222222222222222222−1+i3−1−i322−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3−1−i3−1+i30000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-1-1-1−1−i3−1+i32−1+i3−1−i32−1−i3−1+i32−1+i3−1−i3200000000000000000000001−i321+i32-1-1-1−1−i3−1+i32−1+i3−1−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i32000000000000-11−i321+i32-1
χ252222222222222222222−1−i3−1+i322−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3220000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-1-1-122−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i300000000000000000000001+i321−i32-1-1-122−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1-1-10000000000001+i321−i321+i321−i32
χ262222222222222222222−1−i3−1+i322−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3−1+i3−1−i30000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-1-1-1−1+i3−1−i32−1−i3−1+i32−1+i3−1−i32−1−i3−1+i3200000000000000000000001+i321−i32-1-1-1−1+i3−1−i32−1−i3−1+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i32000000000000-11+i321−i32-1
χ272222222222222222222−1−i3−1+i322−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i30000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-1-1-1−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i322−1−i300000000000000000000001+i321−i32-1-1-1−1−i3−1+i3−1+i322−1−i31+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i320000000000001−i32-1-11+i32
χ283333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1331-111-1-1-1-1-1-1-1-1-1-1-1-1-1000333333-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-100000-1-1-1-1-1-1000000000000111111-1-1-1-1-1-10000
χ293333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-133-11-1-1-1-1-1-1-1-1-1-1-1-1-111000333333-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111100000-1-1-1-1-1-1000000000000-1-1-1-1-1-11111110000
χ303333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1−3+3i32−3−3i321-111-1-1-1-1-1-1-1-1-1-1-1-1-1000−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i321−i321+i321−i321−i321+i321+i321-11111111111-1-1-1-1-1-1-1-1-1-1000001−i321+i321−i321−i321+i321+i32000000000000−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i320000
χ313333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1−3+3i32−3−3i32-11-1-1-1-1-1-1-1-1-1-1-1-1-111000−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i321−i321+i321−i321−i321+i321+i32-11-1-1-1-1-1-1-1-1-1-11111111111000001−i321+i321−i321−i321+i321+i320000000000001−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000
χ323333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1−3−3i32−3+3i321-111-1-1-1-1-1-1-1-1-1-1-1-1-1000−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i321+i321−i321+i321+i321−i321−i321-11111111111-1-1-1-1-1-1-1-1-1-1000001+i321−i321+i321+i321−i321−i32000000000000−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i320000
χ333333333-133-1-1333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1−3−3i32−3+3i32-11-1-1-1-1-1-1-1-1-1-1-1-1-111000−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i321+i321−i321+i321+i321−i321−i32-11-1-1-1-1-1-1-1-1-1-11111111111000001+i321−i321+i321+i321−i321−i320000000000001+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000
χ343333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i32331-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-100033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i321-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000-1-11−i321+i321−i321+i3200000000000011−1+i32−1−i32−1+i32−1−i32-11−i321+i32-11−i321+i320000
χ353333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i3233-11-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321100033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-11-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000-1-11−i321+i321−i321+i32000000000000-1-11−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i320000
χ363333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i32−3+3i32−3−3i321-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1000−3+3i32−3−3i32−3−3i3233−3+3i321−i321+i321+i32-1-11−i321-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32000001−i321+i321+i32-1-11−i32000000000000−1+i32−1−i32−1−i3211−1+i321−i321+i32-11+i32-11−i320000
χ373333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i32−3+3i32−3−3i32-11-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211000−3+3i32−3−3i32−3−3i3233−3+3i321−i321+i321+i32-1-11−i32-11-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000001−i321+i321+i32-1-11−i320000000000001−i321+i321+i32-1-11−i32−1+i32−1−i321−1−i321−1+i320000
χ383333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i32−3−3i32−3+3i321-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1000−3−3i32−3+3i323−3+3i32−3−3i3231+i321−i32-11−i321+i32-11-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32000001+i321−i32-11−i321+i32-1000000000000−1−i32−1+i321−1+i32−1−i3211+i32-11−i321−i321+i32-10000
χ393333333-133-1-1333-1-1-1-1−3+3i32−3−3i32-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321+i32−3−3i32−3+3i32-11-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211000−3−3i32−3+3i323−3+3i32−3−3i3231+i321−i32-11−i321+i32-1-11-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000001+i321−i32-11−i321+i32-10000000000001+i321−i32-11−i321+i32-1−1−i321−1+i32−1+i32−1−i3210000
χ403333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i32331-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-100033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i321-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000-1-11+i321−i321+i321−i3200000000000011−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i320000
χ413333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i3233-11-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321100033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-11-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000-1-11+i321−i321+i321−i32000000000000-1-11+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i320000
χ423333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i32−3+3i32−3−3i321-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1000−3+3i32−3−3i323−3−3i32−3+3i3231−i321+i32-11+i321−i32-11-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32000001−i321+i32-11+i321−i32-1000000000000−1+i32−1−i321−1−i32−1+i3211−i32-11+i321+i321−i32-10000
χ433333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i32−3+3i32−3−3i32-11-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211000−3+3i32−3−3i323−3−3i32−3+3i3231−i321+i32-11+i321−i32-1-11-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000001−i321+i32-11+i321−i32-10000000000001−i321+i32-11+i321−i32-1−1+i321−1−i32−1−i32−1+i3210000
χ443333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i32−3−3i32−3+3i321-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1000−3−3i32−3+3i32−3+3i3233−3−3i321+i321−i321−i32-1-11+i321-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32000001+i321−i321−i32-1-11+i32000000000000−1−i32−1+i32−1+i3211−1−i321+i321−i32-11−i32-11+i320000
χ453333333-133-1-1333-1-1-1-1−3−3i32−3+3i32-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321−i32−3−3i32−3+3i32-11-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211000−3−3i32−3+3i32−3+3i3233−3−3i321+i321−i321−i32-1-11+i32-11-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000001+i321−i321−i32-1-11+i320000000000001+i321−i321−i32-1-11+i32−1−i32−1+i321−1+i321−1−i320000
χ46333333-13-1-133-1-1-1333-133-1-1-1-1-1-1-1-1-1-1-1-1-1-133003333-1-1-13-1-1-13-1-1-133333000000000000-1-1-1-13-1-1-13-1-1-1-1-13-1-1-13-1-1-133-1-1-1000000-1-1-1-1-1-10000000000000000000000
χ47333333-13-1-133-1-1-1333-133-1-1-1-1-1-1-1-1-1-1-1-1-1-13300-3-3-3-3-1-1-13-1-1-13-1-1-1-3-33330000000000001111-3111-311111-3111-311133-1-1-1000000-1-1-1-1-1-10000000000000000000000
χ48333333-13-1-133-1-1-1333-1−3+3i32−3−3i32-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3+3i32−3−3i32003333-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i3233333000000000000-1-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32−3+3i32−3−3i32-1-1-10000001−i321−i321−i321+i321+i321+i320000000000000000000000
χ49333333-13-1-133-1-1-1333-1−3+3i32−3−3i32-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3+3i32−3−3i3200-3-3-3-3-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32-3-333300000000000011113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i32113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i32−3+3i32−3−3i32-1-1-10000001−i321−i321−i321+i321+i321+i320000000000000000000000
χ50333333-13-1-133-1-1-1333-1−3−3i32−3+3i32-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−3−3i32−3+3i32003333-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i3233333000000000000-1-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32−3−3i32−3+3i32-1-1-10000001+i321+i321+i321−i321−i321−i320000000000000000000000
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Here i is the imaginary unit (i² = −1).