Finite Group Databasebeta

← Group #13162895

Character table — Group #13162895

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225
size111122222222222222222244444444444444444444444444448888888888888888818183636363636721111222222222222222222444444444444444444444444444488888888888888888181836363636367211112222222222222222224444444444444444444444444444888888888888888881818363636363672
order122233334466666666666644881212121212121212242424242424242424242424242424244121212121212121212121212121212124444488436663333121266666666666612122424121212121212121224242424242424242424242424242424121212121212121212121212121212121212121212122424123666333312126666666666661212242412121212121212122424242424242424242424242424242412121212121212121212121212121212121212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ61111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-11
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-111-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-111-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-111-1
χ922222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000002200-200022222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000002200-200022222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000002200-2000
χ1022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-200200022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-200200022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-2002000
χ1122222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-10000000022222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-10000000022222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ1222222-1-1-1222-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-1-2-2-2-2111111111111-222-1-1-1-1-1-1-2-21111110000000022222-1-1-1222-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-1-2-2-2-2111111111111-222-1-1-1-1-1-1-2-21111110000000022222-1-1-1222-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-1-2-2-2-2111111111111-222-1-1-1-1-1-1-2-211111100000000
χ1322222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-21111110000000022222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-21111110000000022222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-211111100000000
χ1422222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-2-211111122-1-1-1-1-1-10000000022222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-2-211111122-1-1-1-1-1-10000000022222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-2-211111122-1-1-1-1-1-100000000
χ152222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1000000002222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1000000002222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000
χ162222-12-1-122-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-2-1-122-1-1-1-111-2-21111000000002222-12-1-122-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-2-1-122-1-1-1-111-2-21111000000002222-12-1-122-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-2-1-122-1-1-1-111-2-2111100000000
χ172222-12-1-122-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-21111000000002222-12-1-122-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-21111000000002222-12-1-122-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-2111100000000
χ182222-12-1-122-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111211-2-21111-1-122-1-1-1-1000000002222-12-1-122-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111211-2-21111-1-122-1-1-1-1000000002222-12-1-122-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111211-2-21111-1-122-1-1-1-100000000
χ192222-1-12-122-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1000000002222-1-12-122-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1000000002222-1-12-122-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-100000000
χ202222-1-12-122-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-2-1-1-1-122-1-11111-2-211000000002222-1-12-122-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-2-1-1-1-122-1-11111-2-211000000002222-1-12-122-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-2-1-1-1-122-1-11111-2-21100000000
χ212222-1-12-122-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-211000000002222-1-12-122-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-211000000002222-1-12-122-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-21100000000
χ222222-1-12-122-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111121111-2-211-1-1-1-122-1-1000000002222-1-12-122-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111121111-2-211-1-1-1-122-1-1000000002222-1-12-122-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111121111-2-211-1-1-1-122-1-100000000
χ232222-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122000000002222-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122000000002222-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ242222-1-1-1222-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-2-1-1-1-1-1-122111111-2-2000000002222-1-1-1222-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-2-1-1-1-1-1-122111111-2-2000000002222-1-1-1222-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-2-1-1-1-1-1-122111111-2-200000000
χ252222-1-1-1222-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2111111-2-2000000002222-1-1-1222-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2111111-2-2000000002222-1-1-1222-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2111111-2-200000000
χ262222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22111111-2-2-1-1-1-1-1-122000000002222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22111111-2-2-1-1-1-1-1-122000000002222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22111111-2-2-1-1-1-1-1-12200000000
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χ282-22-222222-22222-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000000000-2200002-22-222222-22222-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000000000-2200002-22-222222-22222-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000000000-220000
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χ902222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000
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χ1122-22-2-12-1-1-22-12-1-111-2-21111−2i2i001-211-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30i−i−2i2ii−ii−i−3300−333−300000000−1+i31−i3−1+i31−i31−i32−1+i31−i321−i321−i3−1+i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−2ζ142ζ1400−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i323+i323+i32−3−i32−3−i3200003+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i320ζ14−ζ14−2ζ142ζ14ζ14−ζ14ζ14−ζ14ζ14+2ζ22−ζ14−2ζ2200ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200000000−1−i31+i3−1−i31+i31+i32−1−i31+i321+i321+i3−1−i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−2ζ222ζ2200−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−3+i32−3+i323−i323−i320000−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i320ζ22−ζ22−2ζ222ζ22ζ22−ζ22ζ22−ζ22−2ζ14−ζ222ζ14+ζ2200−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200000000
χ1132-22-2-12-1-1-22-12-1-111-2-21111−2i2i001-211-12-1-1i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30i−i−2i2ii−ii−i3−3003−3−3300000000−1+i31−i3−1+i31−i31−i32−1+i31−i321−i321−i3−1+i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−2ζ142ζ1400−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−3−i32−3−i323+i323+i320000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i320ζ14−ζ14−2ζ142ζ14ζ14−ζ14ζ14−ζ14−ζ14−2ζ22ζ14+2ζ2200−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200000000−1−i31+i3−1−i31+i31+i32−1−i31+i321+i321+i3−1−i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−2ζ222ζ2200−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i323−i323−i32−3+i32−3+i3200003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i320ζ22−ζ22−2ζ222ζ22ζ22−ζ22ζ22−ζ222ζ14+ζ22−2ζ14−ζ22002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200000000
χ1142-22-2-1-12-1-22-1-12-11111-2-2112i−2i0011-21-1-12-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30−ii−ii2i−2i−ii3−3−33003−300000000−1+i31−i3−1+i31−i31−i321−i32−1+i31−i321−i3−1+i31−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i322ζ14−2ζ1400−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i3200003+i323+i32−3−i32−3−i320−ζ14ζ14−ζ14ζ142ζ14−2ζ14−ζ14ζ14−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200−ζ14−2ζ22ζ14+2ζ2200000000−1−i31+i3−1−i31+i31+i321+i32−1−i31+i321+i3−1−i31+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i322ζ22−2ζ2200−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i320000−3+i32−3+i323−i323−i320−ζ22ζ22−ζ22ζ222ζ22−2ζ22−ζ22ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22002ζ14+ζ22−2ζ14−ζ2200000000
χ1152-22-2-1-12-1-22-1-12-11111-2-2112i−2i0011-21-1-12-1i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30−ii−ii2i−2i−ii−333−300−3300000000−1+i31−i3−1+i31−i31−i321−i32−1+i31−i321−i3−1+i31−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i322ζ14−2ζ1400−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i320000−3−i32−3−i323+i323+i320−ζ14ζ14−ζ14ζ142ζ14−2ζ14−ζ14ζ14ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200ζ14+2ζ22−ζ14−2ζ2200000000−1−i31+i3−1−i31+i31+i321+i32−1−i31+i321+i3−1−i31+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i322ζ22−2ζ2200−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i323−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i3200003−i323−i32−3+i32−3+i320−ζ22ζ22−ζ22ζ222ζ22−2ζ22−ζ22ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200−2ζ14−ζ222ζ14+ζ2200000000
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χ16322222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-211111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ16422222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-2-211111122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ1652222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000
χ1662222-12-1-122-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-2-1-122-1-1-1-111-2-2111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ1672222-12-1-122-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-2111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ1682222-12-1-122-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111211-2-21111-1-122-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000
χ1692222-1-12-122-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3200000000
χ1702222-1-12-122-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-2-1-1-1-122-1-11111-2-21100000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200000000
χ1712222-1-12-122-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-21100000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.