Finite Group Databasebeta

← Group #13138408

Character table — Group #13138408

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111122222222226666111122222222226666222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212129999181818181818181818185454545499991818181818181818181854545454
order124436881212242424242488224466881212242424242488361212362424121224242424612242466121266242412122424242461224249183636918727236367272727218367272918363691872723636727272721836727291836369187272363672727272183672721818363618187272363672727272183672721818363618187272363672727272183672721818363618187272363672727272183672724444121288121224242424448844441212881212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ3111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1
χ4111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ511-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i
χ611-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii
χ711-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii
χ811-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i
χ92222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000
χ102222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-111110000
χ1122-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii0000
χ1222-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i0000
χ132-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i00000000
χ142-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−ii−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ390000
χ152-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ390000
χ162-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i00000000
χ172-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ690000
χ182-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ690000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ21111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111
χ22111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ2311-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i-1-111-1-1−ii11−i−iii-11−ii-1-111-1-1−ii11−i−iii-11−ii
χ2411-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i-1-111-1-1−ii11−i−iii1-1i−i
χ2511-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii-1-111-1-1i−i11ii−i−i-11i−i-1-111-1-1i−i11ii−i−i-11i−i
χ2611-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i-1-111-1-1i−i11ii−i−i1-1−ii-1-111-1-1i−i11ii−i−i1-1−ii
χ272222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000-2-2-2-211-2-21111110000
χ282222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-111110000-2-2-2-2112211-1-1-1-10000-2-2-2-2112211-1-1-1-10000
χ2922-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii0000-2-22211−2i2i-1-1ii−i−i0000-2-22211−2i2i-1-1ii−i−i0000
χ3022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i0000-2-222112i−2i-1-1−i−iii0000-2-222112i−2i-1-1−i−iii0000
χ312-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i00000000-22−2i2i-2200−2i2i00000000-22−2i2i-2200−2i2i00000000
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χ39111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111iiiiii−i−iii−i−i−i−iii−i−i−i−i−i−i−i−iii−i−iiiii−i−iii
χ40111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1iiiiii−i−iii−i−i−i−i−i−iii−i−i−i−i−i−iii−i−iiiiiii−i−i
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χ452222-1-122-1-1-1-1-1-10000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000-2-2-2-211-2-21111110000-2-2-2-211-2-211111100002i2i2i2i−i−i2i2i−i−i−i−i−i−i0000−2i−2i−2i−2iii−2i−2iiiiiii0000
χ462222-1-1-2-2-1-111110000-2-2-2-2112211-1-1-1-100002222-1-1-2-2-1-111110000-2-2-2-2112211-1-1-1-100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-111110000-2-2-2-2112211-1-1-1-10000-2-2-2-2112211-1-1-1-10000-2-2-2-2112211-1-1-1-100002i2i2i2i−i−i−2i−2i−i−iiiii0000−2i−2i−2i−2iii2i2iii−i−i−i−i0000
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χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii
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χ2134-44i−4i-2200−2i2i2ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ390000-44−4i4i2-2002i−2i−2ζ21+2ζ692ζ21−2ζ692ζ15−2ζ39−2ζ15+2ζ390000-22−2i2i1-100i−i−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ3900002-22i−2i-1100−iiζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ390000−2ζ4−2ζ682ζ4+2ζ68−2ζ14−2ζ222ζ14+2ζ22ζ4+ζ68−ζ4−ζ6800ζ14+ζ22−ζ14−ζ22ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ612ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ7100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ7100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ7100002ζ4+2ζ68−2ζ4−2ζ682ζ14+2ζ22−2ζ14−2ζ22−ζ4−ζ68ζ4+ζ6800−ζ14−ζ22ζ14+ζ22−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ710000−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ710000−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200ζ22−ζ62+ζ70−ζ22+ζ62−ζ702ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ710000000000000000000000000000000000000000
χ2144-4−4i4i4-400−4i4i00000000-444i−4i-44004i−4i00000000-222i−2i-22002i−2i000000002-2−2i2i2-200−2i2i00000000−2ζ4−2ζ682ζ4+2ζ682ζ14+2ζ22−2ζ14−2ζ22−2ζ4−2ζ682ζ4+2ζ68002ζ14+2ζ22−2ζ14−2ζ22000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70000000002ζ4+2ζ68−2ζ4−2ζ68−2ζ14−2ζ222ζ14+2ζ222ζ4+2ζ68−2ζ4−2ζ6800−2ζ14−2ζ222ζ14+2ζ2200000000−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68002ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7000000000−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52002ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7000000000000000000000000000000000000000000000
χ2154-4−4i4i-22002i−2i2ζ15−2ζ39−2ζ15+2ζ39−2ζ21+2ζ692ζ21−2ζ690000-444i−4i2-200−2i2i−2ζ15+2ζ392ζ15−2ζ392ζ21−2ζ69−2ζ21+2ζ690000-222i−2i1-100−ii−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ6900002-2−2i2i-1100i−iζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ690000−2ζ4−2ζ682ζ4+2ζ682ζ14+2ζ22−2ζ14−2ζ22ζ4+ζ68−ζ4−ζ6800−ζ14−ζ22ζ14+ζ22−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ6100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ6100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ712ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ6100002ζ4+2ζ68−2ζ4−2ζ68−2ζ14−2ζ222ζ14+2ζ22−ζ4−ζ68ζ4+ζ6800ζ14+ζ22−ζ14−ζ222ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ610000−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ610000−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ610000000000000000000000000000000000000000
χ2164-4−4i4i-22002i−2i−2ζ15+2ζ392ζ15−2ζ392ζ21−2ζ69−2ζ21+2ζ690000-444i−4i2-200−2i2i2ζ15−2ζ39−2ζ15+2ζ39−2ζ21+2ζ692ζ21−2ζ690000-222i−2i1-100−iiζ15−ζ39−ζ15+ζ39−ζ21+ζ69ζ21−ζ6900002-2−2i2i-1100i−i−ζ15+ζ39ζ15−ζ39ζ21−ζ69−ζ21+ζ690000−2ζ4−2ζ682ζ4+2ζ682ζ14+2ζ22−2ζ14−2ζ22ζ4+ζ68−ζ4−ζ6800−ζ14−ζ22ζ14+ζ222ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ6100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ6100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ6100002ζ4+2ζ68−2ζ4−2ζ68−2ζ14−2ζ222ζ14+2ζ22−ζ4−ζ68ζ4+ζ6800ζ14+ζ22−ζ14−ζ22−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ610000−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ610000−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ712ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ610000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.