Finite Group Databasebeta

← Group #13143221

Character table — Group #13143221

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111222222333333334444444466666666666666661212121212121212121212121212121212121212121218181818181818181818181836363636363611112222223333333344444444666666666666666612121212121212121212121212121212121212121212181818181818181818181818363636363636
order124423461212336612121212688122424242466999121218181836363636363618181824242424363636727272727272727272727272888824242424242424248824242424224426461212666612121212688122424242466181818121218181836363636363618181824242424363636727272727272727272727272888824242424242424248824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111111-1-11-1-1-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111-1-11-1-1-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-11-1-1-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+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
χ61111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ71111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ81111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−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
χ101111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ121111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−i11-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−i
χ1411-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii11-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii
χ1511-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii11-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii
χ1611-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−i11-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−i
χ1711-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iζ22−ζ22ζ14−ζ1411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iζ22−ζ22ζ14−ζ14
χ1811-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii−ζ22ζ22−ζ14ζ1411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii−ζ22ζ22−ζ14ζ14
χ1911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ζ22ζ22−ζ14ζ1411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ζ22ζ22−ζ14ζ14
χ2011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−iζ22−ζ22ζ14−ζ1411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−iζ22−ζ22ζ14−ζ14
χ2111-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iζ14−ζ14ζ22−ζ2211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iζ14−ζ14ζ22−ζ22
χ2211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii−ζ14ζ14−ζ22ζ2211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii−ζ14ζ14−ζ22ζ22
χ2311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii1−i−iii1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32−ζ14ζ14−ζ22ζ221−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ζ14ζ14−ζ22ζ2211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii1−i−iii1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32−ζ14ζ14−ζ22ζ221−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ζ14ζ14−ζ22ζ22
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χ901111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-111-111111+i321−i32-11+i321−i321+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ911111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ921111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+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
χ931111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-111-111111−i321+i32-11−i321+i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ941111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-111-111111−i321+i32-11−i321+i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ9511-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−i-1-1111-1-1-111-1-1-1-111111−ii-1−i−iii11-1-1-1-1-1-1-1-1111111111−ii−ii-1-1-1−i−iii−i−iii−i−iii-1-111-1-111-1-111−ii−ii−ii
χ9611-1-1-1111-1-11111-1-1-1-1-1i−i1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1i−ii−i111ii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii-1-1111-1-1-111-1-1-1-111111−ii-1−i−iii11-1-1-1-1-1-1-1-1111111111−ii−ii-1-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-1i−ii−ii−i
χ9711-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii-1-1111-1-1-111-1-1-1-111111i−i-1ii−i−i11-1-1-1-1-1-1-1-1111111111i−ii−i-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111-1-111i−ii−ii−i
χ9811-1-1-1111-1-11111-1-1-1-1-1−ii1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−ii−ii111−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−i-1-1111-1-1-111-1-1-1-111111i−i-1ii−i−i11-1-1-1-1-1-1-1-1111111111i−ii−i-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-1−ii−ii−ii
χ9911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iζ22−ζ22ζ14−ζ14-1-1111-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−ii-1−i−iii−1−i32−1+i32-11+i321−i321+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii−ζ22ζ22−ζ14ζ14
χ10011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i1ii−i−i1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii−ζ22ζ22−ζ14ζ14-1-1111-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−ii-1−i−iii−1−i32−1+i32-11+i321−i321+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iζ22−ζ22ζ14−ζ14
χ10111-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ζ22ζ22−ζ14ζ14-1-1111-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321i−i-1ii−i−i−1−i32−1+i32-11+i321−i321+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11+i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−iζ22−ζ22ζ14−ζ14
χ10211-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii1−i−iii1+i321−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ22ζ22−ζ14ζ141−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−iζ22−ζ22ζ14−ζ14-1-1111-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321i−i-1ii−i−i−1−i32−1+i32-11+i321−i321+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11+i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ζ22ζ22−ζ14ζ14
χ10311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iζ14−ζ14ζ22−ζ22-1-1111-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−ii-1−i−iii−1+i32−1−i32-11−i321+i321−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii−ζ14ζ14−ζ22ζ22
χ10411-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i1ii−i−i1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii−ζ14ζ14−ζ22ζ22-1-1111-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−ii-1−i−iii−1+i32−1−i32-11−i321+i321−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iζ14−ζ14ζ22−ζ22
χ10511-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii1−i−iii1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32−ζ14ζ14−ζ22ζ221−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ζ14ζ14−ζ22ζ22-1-1111-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321i−i-1ii−i−i−1+i32−1−i32-11−i321+i321−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11−i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−iζ14−ζ14ζ22−ζ22
χ10611-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii1−i−iii1−i321+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32−ζ14ζ14−ζ22ζ221−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−iζ14−ζ14ζ22−ζ22-1-1111-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321i−i-1ii−i−i−1+i32−1−i32-11−i321+i321−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11−i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ζ14ζ14−ζ22ζ22
χ1072222222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2111111111111-2-2-2-2111111111111111000000000000000000
χ1082222222222222222222-2-22-2-2-2-222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1111111111111000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-2-2111-2-21111111111112222111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.