Finite Group Databasebeta

← Group #13158021

Character table — Group #13158021

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111122222244444444666612122222444444888888881212121224243333666666121212121212121218181818363611112222224444444466661212222244444488888888121212122424333366666612121212121212121818181836361111222222444444446666121222224444448888888812121212242433336666661212121212121212181818183636
order1244234612126881224242424444424361212631261212624241224242424121212126122244264612126881224242424444424361212631261212624241224242424121212126123612126312612126242412242424241212121261266121266126121262424122424242412121212612361212631261212624241224242424121212126123612126312612126242412242424241212121261266121266126121262424122424242412121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ311111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1
χ411111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1
χ611-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11
χ711-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11
χ811-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1
χ922222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000
χ1022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000
χ112222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-20000000000
χ122222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i3000000
χ132222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i3000000
χ1422-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-20000000000
χ1522-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−33000000
χ1622-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−3000000
χ1722-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii000000
χ1822-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i000000
χ192-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00
χ202-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00
χ212-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00
χ222-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00
χ234-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000
χ244-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ2711111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111
χ2811111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1
χ2911-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1-1-1111-1-1-1111−ii-1−i−iii−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1-1-1111-1-1-1111−ii-1−i−iii−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1-1-1111-1-1-1111−ii-1−i−iii−i−iii-11
χ3011-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11-1-1111-1-1-1111−ii-1−i−iiiii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11-1-1111-1-1-1111−ii-1−i−iiiii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11-1-1111-1-1-1111−ii-1−i−iiiii−i−i1-1
χ3111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11-1-1111-1-1-1111i−i-1ii−i−i−i−iii1-111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11-1-1111-1-1-1111i−i-1ii−i−i−i−iii1-111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11-1-1111-1-1-1111i−i-1ii−i−i−i−iii1-1
χ3211-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1-1-1111-1-1-1111i−i-1ii−i−iii−i−i-1111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1-1-1111-1-1-1111i−i-1ii−i−iii−i−i-1111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1-1-1111-1-1-1111i−i-1ii−i−iii−i−i-11
χ3322222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000-2-2-2-2-21-21111-2-21111100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000-2-2-2-2-21-21111-2-21111100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000-2-2-2-2-21-21111-2-211111000000
χ3422222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000-2-2-2-2-21-21111221-1-1-1-100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000-2-2-2-2-21-21111221-1-1-1-100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000-2-2-2-2-21-21111221-1-1-1-1000000
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χ10211-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11-1-1111-1-1-1111−ii-1−i−iiiii−i−i1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32
χ10311-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11-1-1111-1-1-1111i−i-1ii−i−i−i−iii1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32
χ10411-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1-1-1111-1-1-1111i−i-1ii−i−iii−i−i-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32
χ10522222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000-2-2-2-2-21-21111-2-211111000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i320000001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i320000001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32000000
χ10622222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000-2-2-2-2-21-21111221-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i320000001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i320000001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i321+i321+i321+i321+i32000000
χ1072222-22-2222-200-200000000002222-22-2222-200-20000000000-2-2-2-22-22-2-2-220020000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i300000000001−i31−i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i300−1+i30000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i30000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i300000000001+i31+i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i300−1−i30000000000
χ1082222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i3000000-2-2-2-2212111-100-1i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i320000001−i31−i31−i31−i3−1+i3−1+i32−1+i3−1+i32−1+i32−1+i321−i32001−i32−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i320000001+i31+i31+i31+i3−1−i3−1−i32−1−i3−1−i32−1−i32−1−i321+i32001+i323−i32−3+i323−i32−3+i32000000
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χ15211-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32
χ15322222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32000000
χ15422222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000000
χ1552222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-20000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i30000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i30000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i30000000000
χ1562222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i32000000
χ1572222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i323−i32−3+i323−i32−3+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i323−i32−3+i323−i32−3+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i32−1−i3200−1−i323−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i32−3−i323+i32−3−i323+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i32−3−i323+i32−3−i323+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i32−1+i3200−1+i32−3−i323+i32−3−i323+i32000000
χ15822-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-20000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i30000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i30000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i30000000000
χ15922-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−33000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ16022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−3000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3200−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3200−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ16122-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i322ζ11−2ζ111+i32−ζ11−ζ11ζ11ζ11000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i322ζ11−2ζ111+i32−ζ11−ζ11ζ11ζ11000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i322ζ11−2ζ111+i32−ζ11−ζ11ζ11ζ11000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i322ζ7−2ζ71−i32−ζ7−ζ7ζ7ζ7000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i322ζ7−2ζ71−i32−ζ7−ζ7ζ7ζ7000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i322ζ7−2ζ71−i32−ζ7−ζ7ζ7ζ7000000
χ16222-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−2ζ112ζ111+i32ζ11ζ11−ζ11−ζ11000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−2ζ112ζ111+i32ζ11ζ11−ζ11−ζ11000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−2ζ112ζ111+i32ζ11ζ11−ζ11−ζ11000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−2ζ72ζ71−i32ζ7ζ7−ζ7−ζ7000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−2ζ72ζ71−i32ζ7ζ7−ζ7−ζ7000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−2ζ72ζ71−i32ζ7ζ7−ζ7−ζ7000000
χ1632-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000
χ1642-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.