Finite Group Databasebeta

← Group #13135749

Character table — Group #13135749

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111111111111111111122222222222222222222222222222222222266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666363636363636363636363636363636363636363636363636
order122233444466666612121212121212124444888888881212121212121212242424242424242424242424242424243333666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424248888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ6111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ7111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ8111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-111i−ii−i11-1-1-1-1ii−i−iii−i−ii−i1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1011-1-111i−ii−i11-1-1-1-1ii−i−iii−i−ii−i1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1111-1-111i−ii−i11-1-1-1-1ii−i−iii−i−ii−i1-1-1-111−i−iiiii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1211-1-111i−ii−i11-1-1-1-1ii−i−iii−i−ii−i1-1-1-111−i−iiiii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1311-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−ii1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ1411-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−ii1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1511-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−ii1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1611-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−ii1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ172222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ212222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ222222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ232222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ242222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ25222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000222222222222222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002-1-1-12-1-1-122-1-1-1-1-1-122-2-2-1-111-1-111-1-11122-2-2-1-111-1-111-1-111-2-2111111-2-2111111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000000000000000
χ27222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002-1-1-12-1-1-122-1-1-1-1-1-122-2-2-1-111-1-111-1-11122-2-2-1-111-1-111-1-111-2-2111111-2-21111110000−3−333−3−333−3−3330000−3−333−3−333−3−3330000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000000000000000
χ28222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-11122-2-2-1-111-1-111-1-11122-2-2-1-111-1-11111-2-2111111-2-2111133−3−3000033−3−3−3−33333−3−3000033−3−3−3−33333−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000000000000000
χ29222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-11122-2-2-1-111-1-111-1-11122-2-2-1-111-1-11111-2-2111111-2-21111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000000000
χ30222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-111-1-11122-2-2-1-111-1-111-1-11122-2-2-1-1111111-2-2111111-2-21133−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000000000000000
χ31222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-111-1-11122-2-2-1-111-1-111-1-11122-2-2-1-1111111-2-2111111-2-211−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000000000000000
χ32222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-111-1-111-1-11122-2-2-1-111-1-111-1-11122-2-2111111-2-2111111-2-233−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000000000000000
χ33222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-111-1-111-1-11122-2-2-1-111-1-111-1-11122-2-2111111-2-2111111-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000000000000000
χ34222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-200000000000000002222222222222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ35222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-200000000000000002-1-1-12-1-1-122-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-2111111-2-2111111000033−3−333−3−333−3−3000033−3−333−3−333−3−30000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000000000000000
χ36222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-200000000000000002-1-1-12-1-1-122-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-2111111-2-21111110000−3−333−3−333−3−3330000−3−333−3−333−3−333000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000000000000000
χ37222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-12-1-1-12-1-1-1-122-1-1-1-111-1-1-2-22211-1-111-1-111-1-1-2-22211-1-111-1-111-2-2111111-2-2111133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000000000
χ38222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-12-1-1-12-1-1-1-122-1-1-1-111-1-1-2-22211-1-111-1-111-1-1-2-22211-1-111-1-111-2-2111111-2-21111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−333−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000000000000000
χ39222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-1-12-1-1-12-1-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-22211-1-11111-2-2111111-2-21133−3−3−3−333000033−3−333−3−3−3−333000033−3−3−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000000000000000
χ40222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-1-12-1-1-12-1-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-22211-1-11111-2-2111111-2-211−3−33333−3−30000−3−333−3−33333−3−30000−3−33333−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000000000000000
χ41222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-1-1-12-1-1-12-1-1-1-1-1-12211-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-222111111-2-2111111-2-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000000000000000
χ42222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000-1-1-12-1-1-12-1-1-1-1-1-12211-1-111-1-111-1-1-2-22211-1-111-1-111-1-1-2-222111111-2-2111111-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−3000033−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000000000000000
χ43222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ44222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ45222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ46222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ47222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ48222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ49222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ50222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
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χ1976-66-6−3−3i3−3+3i366-6-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000032−3232−3232−3232−3200000000−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1986-66-6−3−3i3−3+3i366-6-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000−3232−3232−3232−3232000000003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1996-66-6−3−3i3−3+3i3-6-6663+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3000032−3232−32−3232−323200000000−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2006-66-6−3−3i3−3+3i3-6-6663+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i30000−3232−323232−3232−32000000003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2016-66-6−3+3i3−3−3i366-6-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000032−3232−3232−3232−32000000003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2026-66-6−3+3i3−3−3i366-6-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000−3232−3232−3232−323200000000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2036-66-6−3+3i3−3−3i3-6-6663−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3000032−3232−32−3232−3232000000003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2046-66-6−3+3i3−3−3i3-6-6663−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i30000−3232−323232−3232−3200000000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2056-6-66−3−3i3−3+3i36i−6i−6i6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i36ζ226ζ14−6ζ22−6ζ14−6ζ22−6ζ146ζ226ζ14000032−32−32323i2−3i2−3i23i200000000−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2066-6-66−3−3i3−3+3i36i−6i−6i6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i36ζ226ζ14−6ζ22−6ζ14−6ζ22−6ζ146ζ226ζ140000−323232−32−3i23i23i2−3i2000000003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2076-6-66−3−3i3−3+3i3−6i6i6i−6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6ζ22−6ζ146ζ226ζ146ζ226ζ14−6ζ22−6ζ14000032−32−3232−3i23i23i2−3i200000000−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2086-6-66−3−3i3−3+3i3−6i6i6i−6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6ζ22−6ζ146ζ226ζ146ζ226ζ14−6ζ22−6ζ140000−323232−323i2−3i2−3i23i2000000003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2096-6-66−3+3i3−3−3i36i−6i−6i6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i36ζ146ζ22−6ζ14−6ζ22−6ζ14−6ζ226ζ146ζ22000032−32−32323i2−3i2−3i23i2000000003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2106-6-66−3+3i3−3−3i36i−6i−6i6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i36ζ146ζ22−6ζ14−6ζ22−6ζ14−6ζ226ζ146ζ220000−323232−32−3i23i23i2−3i200000000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2116-6-66−3+3i3−3−3i3−6i6i6i−6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6ζ14−6ζ226ζ146ζ226ζ146ζ22−6ζ14−6ζ22000032−32−3232−3i23i23i2−3i2000000003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2126-6-66−3+3i3−3−3i3−6i6i6i−6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6ζ14−6ζ226ζ146ζ226ζ146ζ22−6ζ14−6ζ220000−323232−323i2−3i2−3i23i200000000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.