Finite Group Databasebeta

← Group #72243849

Character table — Group #72243849

Order 20160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175
size16777773182121212121636424242424263642424242428485656565656424282828282812728484848484241441681681681681682414416816816816816832192224224224224224530353535353515901051051051051053018021021021021021030180210210210210210402402802802802802805303535353535159010510510510510530180210210210210210301802102102102102104024028028028028028053035353535351590105105105105105301802102102102102103018021021021021021040240280280280280280
order172336621426666214266664284121212123216336653510151530301070103030303010701030303030201402060606060151053015153030214266662142666621426666428412121212642666664284121212124284121212124284121212124284121212121284121212121242841212121242841212121242841212121242841212121212841212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ411-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
χ511-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ611-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ76-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ9111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32
χ10111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32
χ1111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1
χ1211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32
χ1311-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32
χ146-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-100000
χ152222222222222200000000000000-1-1-1-1-1-1-12222222222222200000000000000-1-1-1-1-1-1-12222222222222200000000000000-1-1-1-1-1-1-12222222222222200000000000000-1-1-1-1-1-1-12222222222222200000000000000-1-1-1-1-1-1-1
χ16222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300000000000000-1-1-11−i321+i321−i321+i32222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300000000000000-1-1-11−i321+i321−i321+i32222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300000000000000-1-1-11−i321+i321−i321+i32222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300000000000000-1-1-11−i321+i321−i321+i32222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300000000000000-1-1-11−i321+i321−i321+i32
χ17222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300000000000000-1-1-11+i321−i321+i321−i32222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300000000000000-1-1-11+i321−i321+i321−i32222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300000000000000-1-1-11+i321−i321+i321−i32222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300000000000000-1-1-11+i321−i321+i321−i32222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300000000000000-1-1-11+i321−i321+i321−i32
χ1822-222-2-222-222-2-200000000000000-1-11-1-11122-222-2-222-222-2-200000000000000-1-11-1-11122-222-2-222-222-2-200000000000000-1-11-1-11122-222-2-222-222-2-200000000000000-1-11-1-11122-222-2-222-222-2-200000000000000-1-11-1-111
χ1922-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i300000000000000-1-111−i321+i32−1+i32−1−i3222-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i300000000000000-1-111−i321+i32−1+i32−1−i3222-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i300000000000000-1-111−i321+i32−1+i32−1−i3222-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i300000000000000-1-111−i321+i32−1+i32−1−i3222-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i300000000000000-1-111−i321+i32−1+i32−1−i32
χ2022-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i300000000000000-1-111+i321−i32−1−i32−1+i3222-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i300000000000000-1-111+i321−i32−1−i32−1+i3222-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i300000000000000-1-111+i321−i32−1−i32−1+i3222-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i300000000000000-1-111+i321−i32−1−i32−1+i3222-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i300000000000000-1-111+i321−i32−1−i32−1+i32
χ2112-20000012-20000000000000000000-610000012-20000012-20000000000000000000-610000012-20000012-20000000000000000000-610000012-20000012-20000000000000000000-610000012-20000012-20000000000000000000-6100000
χ223333333-1-1-1-1-1-1-11111111-1-1-1-1-1-1-100000003333333-1-1-1-1-1-1-11111111-1-1-1-1-1-1-100000003333333-1-1-1-1-1-1-11111111-1-1-1-1-1-1-100000003333333-1-1-1-1-1-1-11111111-1-1-1-1-1-1-100000003333333-1-1-1-1-1-1-11111111-1-1-1-1-1-1-10000000
χ23333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i320000000
χ24333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000
χ2533-333-3-3-1-11-1-11111-111-1-1-1-11-1-111000000033-333-3-3-1-11-1-11111-111-1-1-1-11-1-111000000033-333-3-3-1-11-1-11111-111-1-1-1-11-1-111000000033-333-3-3-1-11-1-11111-111-1-1-1-11-1-111000000033-333-3-3-1-11-1-11111-111-1-1-1-11-1-1110000000
χ2633-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i320000000
χ2733-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i320000000
χ2818-300000-61000006-100000-6100000000000018-300000-61000006-100000-6100000000000018-300000-61000006-100000-6100000000000018-300000-61000006-100000-6100000000000018-300000-61000006-100000-61000000000000
χ293333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111100000003333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111100000003333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111100000003333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111100000003333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111111110000000
χ30333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i320000000333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i320000000
χ31333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i320000000333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i320000000
χ3233-333-3-3-1-11-1-111-1-11-1-11111-111-1-1000000033-333-3-3-1-11-1-111-1-11-1-11111-111-1-1000000033-333-3-3-1-11-1-111-1-11-1-11111-111-1-1000000033-333-3-3-1-11-1-111-1-11-1-11111-111-1-1000000033-333-3-3-1-11-1-111-1-11-1-11111-111-1-10000000
χ3333-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32000000033-3−3+3i32−3−3i323−3i323+3i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i320000000
χ3433-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32000000033-3−3−3i32−3+3i323+3i323−3i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i320000000
χ3518-300000-6100000-61000006-100000000000018-300000-6100000-61000006-100000000000018-300000-6100000-61000006-100000000000018-300000-6100000-61000006-100000000000018-300000-6100000-61000006-1000000000000
χ36111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ37111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ38111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ3911-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111
χ4011-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ4111-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ426-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000-6100000-6100000-6100000-6100000-6100000-6100000-6100000-6100000-6100000-6100000
χ4311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ44111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32
χ45111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32
χ4611-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111
χ4711-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32
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χ171121212−6−6i3−6+6i3−6−6i3−6+6i3-4-4-42+2i32−2i32+2i32−2i3-4-4-42+2i32−2i32+2i32−2i3444−2−2i3−2+2i3−2−2i3−2+2i30000000-3-3-33+3i323−3i323+3i323−3i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1721212-121212-12-12-4-44-4-444-4-44-4-44444-444-4-40000000-3-33-3-33311-111-1-111-111-1-1-1-11-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1731212-12−6+6i3−6−6i36−6i36+6i3-4-442−2i32+2i3−2+2i3−2−2i3-4-442−2i32+2i3−2+2i3−2−2i344-4−2+2i3−2−2i32−2i32+2i30000000-3-333−3i323+3i32−3+3i32−3−3i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1741212-12−6−6i3−6+6i36+6i36−6i3-4-442+2i32−2i3−2−2i3−2+2i3-4-442+2i32−2i3−2−2i3−2+2i344-4−2−2i3−2+2i32+2i32−2i30000000-3-333+3i323−3i32−3−3i32−3+3i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17572-1200000-24400000-2440000024-4000000000000-183000006-1000006-100000-61000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.