Finite Group Databasebeta

← Group #13146922

Character table — Group #13146922

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222223333333333333333666666666666121212121212121212121212181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424363636363636363636363636
order122244443666121212123366666612121212121212122244666612121212666666121212121212888888882424242424242424242424242424242433366666666612121212121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−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+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−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+i32
χ41111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−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+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−1−i32−1+i3211−1−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
χ51111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+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−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+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−i32
χ61111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+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−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−1+i32−1−i3211−1+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
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ91111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ101111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ121111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311-1-111-1-11-1-1111-1-11111-1-1-1-111-1-111-1-11-11-11-11-111-1-11-11-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i111-1-1-1-1-1-111111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ1411-1-111-1-11-1-1111-1-11111-1-1-1-111-1-111-1-11-11-11-11-111-1-11-11-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii111-1-1-1-1-1-111111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ1511-1-111-1-11-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ1611-1-111-1-11-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ1711-1-111-1-11-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ1811-1-111-1-11-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ1911-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-111-1-111-111-1-11-1111-1-1-11-11-111-11-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii111-1-1-1-1-1-1111-1-111-1-111-1-111i−i−iii−i−iii−i−ii
χ2011-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-111-1-111-111-1-11-1111-1-1-11-11-111-11-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i111-1-1-1-1-1-1111-1-111-1-111-1-111−iii−i−iii−i−iii−i
χ2111-1-1-1-1111-1-11-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14
χ2211-1-1-1-1111-1-11-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14
χ2311-1-1-1-1111-1-11-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22
χ2411-1-1-1-1111-1-11-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22
χ2522222222222222222222222222222222222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ262222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000000000000000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ272222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000000000000000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ282222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2222222000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ292222-2-2-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-2-2221+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i3000000000000000000000000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ302222-2-2-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-2-2221−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i322−1+i3−1+i3−1−i3−1−i3000000000000000000000000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3122-2-222-2-22-2-2222-2-22222-2-2-2-222-2-222-2-22-22-22-22-222-2-22-22-22-22-22-22-2000000000000000000000000-1-1-1111111-1-1-1-1-111-1-111-1-111000000000000
χ3222-2-222-2-22-2-2222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i32-22-2−1−i31+i3−1+i31−i3−1−i3−1+i31+i31−i32-2−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i3000000000000000000000000-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ3322-2-222-2-22-2-2222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i32-22-2−1+i31−i3−1−i31+i3−1+i3−1−i31−i31+i32-2−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i3000000000000000000000000-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ3422-2-2-2-2222-2-22-2-2222222-2-2-2-2-2-222-2-222-222-2-22-2222-2-2-22-22-222-22-22-2000000000000000000000000-1-1-1111111-1-1-111-1-111-1-111-1-1000000000000
χ3522-2-2-2-2222-2-22-2-222−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-222-21+i3−1−i31−i3−1+i3−1−i3−1+i31+i31−i3-221+i3−1−i31−i3−1+i32-2−1−i31+i3−1+i31−i3000000000000000000000000-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ3622-2-2-2-2222-2-22-2-222−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3-222-21−i3−1+i31+i3−1−i3−1+i3−1−i31−i31+i3-221−i3−1+i31+i3−1−i32-2−1+i31−i3−1−i31+i3000000000000000000000000-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ372-22-22i−2i2i−2i22-2-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i22−22−2−i2i2−i2i2-1-1-11-11-11-1111i−ii−ii−ii−ii−ii−i000000000000
χ382-22-22i−2i2i−2i22-2-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−22−22i2−i2i2−i2−22−22i2−i2i2−i2−22−22i2−i2i2−i2-1-1-11-11-11-1111i−ii−ii−ii−ii−ii−i000000000000
χ392-22-22i−2i2i−2i22-2-22i−2i2i−2i−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ140000000000000000000000002−22−2−i2i2−i2i2−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23-11+i321−i321-1−1−i321+i32−1+i321−i321−1−i32−1+i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14000000000000
χ402-22-22i−2i2i−2i22-2-22i−2i2i−2i−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ14000000000000000000000000−22−22i2−i2i2−i2ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23-11+i321−i321-1−1−i321+i32−1+i321−i321−1−i32−1+i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14000000000000
χ412-22-22i−2i2i−2i22-2-22i−2i2i−2i−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ220000000000000000000000002−22−2−i2i2−i2i2ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13-11−i321+i321-1−1+i321−i32−1−i321+i321−1+i32−1−i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22000000000000
χ422-22-22i−2i2i−2i22-2-22i−2i2i−2i−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22000000000000000000000000−22−22i2−i2i2−i2−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13-11−i321+i321-1−1+i321−i32−1−i321+i321−1+i32−1−i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22000000000000
χ432-22-2−2i2i−2i2i22-2-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i22−22−2i2−i2i2−i2-1-1-11-11-11-1111−ii−ii−ii−ii−ii−ii000000000000
χ442-22-2−2i2i−2i2i22-2-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i2−22−22−i2i2−i2i2-1-1-11-11-11-1111−ii−ii−ii−ii−ii−ii000000000000
χ452-22-2−2i2i−2i2i22-2-2−2i2i−2i2i−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i3−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ140000000000000000000000002−22−2i2−i2i2−i2−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23-11+i321−i321-1−1−i321+i32−1+i321−i321−1−i32−1+i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14000000000000
χ462-22-2−2i2i−2i2i22-2-2−2i2i−2i2i−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i3−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14000000000000000000000000−22−22−i2i2−i2i2ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23-11+i321−i321-1−1−i321+i32−1+i321−i321−1−i32−1+i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14000000000000
χ472-22-2−2i2i−2i2i22-2-2−2i2i−2i2i−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ220000000000000000000000002−22−2i2−i2i2−i2ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13-11−i321+i321-1−1+i321−i32−1−i321+i321−1+i32−1−i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22000000000000
χ482-22-2−2i2i−2i2i22-2-2−2i2i−2i2i−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22000000000000000000000000−22−22−i2i2−i2i2−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13-11−i321+i321-1−1+i321−i32−1−i321+i321−1+i32−1−i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22000000000000
χ492-2-222i−2i−2i2i2-22-22i−2i−2i2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i000000000000000000000000−i2i2i2−i2−222−2−i2i2i2−i2−222−2−i2i2i2−i2−222−2-1-1-1-11-11-11111i−i−iii−i−iii−i−ii000000000000
χ502-2-222i−2i−2i2i2-22-22i−2i−2i2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i000000000000000000000000i2−i2−i2i22−2−22i2−i2−i2i22−2−22i2−i2−i2i22−2−22-1-1-1-11-11-11111i−i−iii−i−iii−i−ii000000000000
χ512-2-222i−2i−2i2i2-22-22i−2i−2i2i−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i32ζ22−2ζ22−2ζ222ζ222ζ14−2ζ14−2ζ142ζ14000000000000000000000000−i2i2i2−i2−222−2ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14000000000000
χ522-2-222i−2i−2i2i2-22-22i−2i−2i2i−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i32ζ22−2ζ22−2ζ222ζ222ζ14−2ζ14−2ζ142ζ14000000000000000000000000i2−i2−i2i22−2−22−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14000000000000
χ532-2-222i−2i−2i2i2-22-22i−2i−2i2i−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i32ζ14−2ζ14−2ζ142ζ142ζ22−2ζ22−2ζ222ζ22000000000000000000000000−i2i2i2−i2−222−2ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22000000000000
χ542-2-222i−2i−2i2i2-22-22i−2i−2i2i−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i32ζ14−2ζ14−2ζ142ζ142ζ22−2ζ22−2ζ222ζ22000000000000000000000000i2−i2−i2i22−2−22−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22000000000000
χ552-2-22−2i2i2i−2i2-22-2−2i2i2i−2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000−i2i2i2−i22−2−22−i2i2i2−i22−2−22−i2i2i2−i22−2−22-1-1-1-11-11-11111−iii−i−iii−i−iii−i000000000000
χ562-2-22−2i2i2i−2i2-22-2−2i2i2i−2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000i2−i2−i2i2−222−2i2−i2−i2i2−222−2i2−i2−i2i2−222−2-1-1-1-11-11-11111−iii−i−iii−i−iii−i000000000000
χ572-2-22−2i2i2i−2i2-22-2−2i2i2i−2i−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3−2ζ222ζ222ζ22−2ζ22−2ζ142ζ142ζ14−2ζ14000000000000000000000000−i2i2i2−i22−2−22ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14000000000000
χ582-2-22−2i2i2i−2i2-22-2−2i2i2i−2i−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3−2ζ222ζ222ζ22−2ζ22−2ζ142ζ142ζ14−2ζ14000000000000000000000000i2−i2−i2i2−222−2−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14000000000000
χ592-2-22−2i2i2i−2i2-22-2−2i2i2i−2i−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−2ζ142ζ142ζ14−2ζ14−2ζ222ζ222ζ22−2ζ22000000000000000000000000−i2i2i2−i22−2−22ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22000000000000
χ602-2-22−2i2i2i−2i2-22-2−2i2i2i−2i−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−2ζ142ζ142ζ14−2ζ14−2ζ222ζ222ζ22−2ζ22000000000000000000000000i2−i2−i2i2−222−2−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22000000000000
χ6133333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1
χ6233333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111
χ633333333333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ643333333333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ653333333333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ663333333333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ673333-3-3-3-33333-3-3-3-333333333-3-3-3-3-3-3-3-311-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000-1-111-1-111-1-111
χ683333-3-3-3-33333-3-3-3-333333333-3-3-3-3-3-3-3-311-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000000011-1-111-1-111-1-1
χ693333-3-3-3-33333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323+3i323+3i323+3i323−3i323−3i323−3i323−3i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ703333-3-3-3-33333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323+3i323+3i323+3i323−3i323−3i323−3i323−3i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ713333-3-3-3-33333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323−3i323−3i323−3i323+3i323+3i323+3i323+3i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ723333-3-3-3-33333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323−3i323−3i323−3i323+3i323+3i323+3i323+3i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000000000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ7333-3-333-3-33-3-3333-3-33333-3-3-3-333-3-333-3-3-11-11-11-11-1-111-11-11-11-11-11-11ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000000000000000000000−ii−ii−ii−ii−ii−ii
χ7433-3-333-3-33-3-3333-3-33333-3-3-3-333-3-333-3-3-11-11-11-11-1-111-11-11-11-11-11-11−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000000000000000000000i−ii−ii−ii−ii−ii−i
χ7533-3-333-3-33-3-3333-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3−3i323+3i323+3i32−3+3i32−3+3i323−3i323−3i32-11-111+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14000000000000000000000000−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ7633-3-333-3-33-3-3333-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3−3i323+3i323+3i32−3+3i32−3+3i323−3i323−3i32-11-111+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14000000000000000000000000i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ7733-3-333-3-33-3-3333-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3+3i323−3i323−3i32−3−3i32−3−3i323+3i323+3i32-11-111−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22000000000000000000000000−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ7833-3-333-3-33-3-3333-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3+3i323−3i323−3i32−3−3i32−3−3i323+3i323+3i32-11-111−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22000000000000000000000000i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ7933-3-3-3-3333-3-33-3-3333333-3-3-3-3-3-333-3-3331-1-111-11-1-1-1111-11-11-1-11-11-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii000000000000000000000000−iii−i−iii−i−iii−i
χ8033-3-3-3-3333-3-33-3-3333333-3-3-3-3-3-333-3-3331-1-111-11-1-1-1111-11-11-1-11-11-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000i−i−iii−i−iii−i−ii
χ8133-3-3-3-3333-3-33-3-333−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i323+3i323+3i32−3−3i32−3−3i323−3i323−3i32−3+3i32−3+3i321-1-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14000000000000000000000000−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14
χ8233-3-3-3-3333-3-33-3-333−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i323+3i323+3i32−3−3i32−3−3i323−3i323−3i32−3+3i32−3+3i321-1-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14000000000000000000000000i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14
χ8333-3-3-3-3333-3-33-3-333−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i323−3i323−3i32−3+3i32−3+3i323+3i323+3i32−3−3i32−3−3i321-1-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22000000000000000000000000−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22
χ8433-3-3-3-3333-3-33-3-333−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i323−3i323−3i32−3+3i32−3+3i323+3i323+3i32−3−3i32−3−3i321-1-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22000000000000000000000000i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22
χ854-44-44i−4i4i−4i44-4-44i−4i4i−4i44-4-44-44-44i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000111-11-11-11-1-1-1−ii−ii−ii−ii−ii−ii000000000000
χ864-44-44i−4i4i−4i44-4-44i−4i4i−4i−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i34ζ22−4ζ224ζ22−4ζ224ζ14−4ζ144ζ14−4ζ140000000000000000000000000000000000000000000000001−1−i32−1+i32-111+i32−1−i321−i32−1+i32-11+i321−i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14000000000000
χ874-44-44i−4i4i−4i44-4-44i−4i4i−4i−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i34ζ14−4ζ144ζ14−4ζ144ζ22−4ζ224ζ22−4ζ220000000000000000000000000000000000000000000000001−1+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22000000000000
χ884-44-4−4i4i−4i4i44-4-4−4i4i−4i4i44-4-44-44-4−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000111-11-11-11-1-1-1i−ii−ii−ii−ii−ii−i000000000000
χ894-44-4−4i4i−4i4i44-4-4−4i4i−4i4i−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i3−4ζ224ζ22−4ζ224ζ22−4ζ144ζ14−4ζ144ζ140000000000000000000000000000000000000000000000001−1−i32−1+i32-111+i32−1−i321−i32−1+i32-11+i321−i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14000000000000
χ904-44-4−4i4i−4i4i44-4-4−4i4i−4i4i−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i3−4ζ144ζ14−4ζ144ζ14−4ζ224ζ22−4ζ224ζ220000000000000000000000000000000000000000000000001−1+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22000000000000
χ914-4-444i−4i−4i4i4-44-44i−4i−4i4i44-4-4-44-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000001111-11-11-1-1-1-1−iii−i−iii−i−iii−i000000000000
χ924-4-444i−4i−4i4i4-44-44i−4i−4i4i−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i34ζ22−4ζ22−4ζ224ζ224ζ14−4ζ14−4ζ144ζ140000000000000000000000000000000000000000000000001−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14000000000000
χ934-4-444i−4i−4i4i4-44-44i−4i−4i4i−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i34ζ14−4ζ14−4ζ144ζ144ζ22−4ζ22−4ζ224ζ220000000000000000000000000000000000000000000000001−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22000000000000
χ944-4-44−4i4i4i−4i4-44-4−4i4i4i−4i44-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000001111-11-11-1-1-1-1i−i−iii−i−iii−i−ii000000000000
χ954-4-44−4i4i4i−4i4-44-4−4i4i4i−4i−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i3−4ζ224ζ224ζ22−4ζ22−4ζ144ζ144ζ14−4ζ140000000000000000000000000000000000000000000000001−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14000000000000
χ964-4-44−4i4i4i−4i4-44-4−4i4i4i−4i−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i3−4ζ144ζ144ζ14−4ζ14−4ζ224ζ224ζ22−4ζ220000000000000000000000000000000000000000000000001−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22000000000000
χ9766666666-3-3-3-3-3-3-3-30000000000000000666600000000-3-30000-3-30000000000000000000000000000000000000000000000000000000000000000
χ9866666666-3-3-3-3-3-3-3-30000000000000000-2-2-2-24444444411-2-2-2-211-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ9966666666-3-3-3-3-3-3-3-30000000000000000-2-2-2-2−2−2i3−2−2i3−2+2i3−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3111+i31+i31−i31−i3111+i31+i31−i31−i3000000000000000000000000000000000000000000000000000000000000
χ10066666666-3-3-3-3-3-3-3-30000000000000000-2-2-2-2−2+2i3−2+2i3−2−2i3−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3111−i31−i31+i31+i3111−i31−i31+i31+i3000000000000000000000000000000000000000000000000000000000000
χ1016666-6-6-6-6-3-3-3-33333000000000000000022-2-2-4-4-4-44444-1-1222211-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ1026666-6-6-6-6-3-3-3-33333000000000000000022-2-22+2i32+2i32−2i32−2i3−2−2i3−2+2i3−2−2i3−2+2i3-1-1−1−i3−1−i3−1+i3−1+i3111+i31+i31−i31−i3000000000000000000000000000000000000000000000000000000000000
χ1036666-6-6-6-6-3-3-3-33333000000000000000022-2-22−2i32−2i32+2i32+2i3−2+2i3−2−2i3−2+2i3−2−2i3-1-1−1+i3−1+i3−1−i3−1−i3111−i31−i31+i31+i3000000000000000000000000000000000000000000000000000000000000
χ1046666-6-6-6-6-3-3-3-333330000000000000000-6-66600000000330000-3-30000000000000000000000000000000000000000000000000000000000000000
χ10566-6-666-6-6-333-3-3-33300000000000000006-66-600000000-330000-330000000000000000000000000000000000000000000000000000000000000000
χ10666-6-666-6-6-333-3-3-3330000000000000000-22-224-44-444-4-41-1-22-221-1-22-22000000000000000000000000000000000000000000000000000000000000
χ10766-6-666-6-6-333-3-3-3330000000000000000-22-22−2−2i32+2i3−2+2i32−2i3−2−2i3−2+2i32+2i32−2i31-11+i3−1−i31−i3−1+i31-11+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000000000000000
χ10866-6-666-6-6-333-3-3-3330000000000000000-22-22−2+2i32−2i3−2−2i32+2i3−2+2i3−2−2i32−2i32+2i31-11−i3−1+i31+i3−1−i31-11−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000000000000000
χ10966-6-6-6-666-333-333-3-300000000000000002-2-22-44-4444-4-4-112-22-21-1-22-22000000000000000000000000000000000000000000000000000000000000
χ11066-6-6-6-666-333-333-3-300000000000000002-2-222+2i3−2−2i32−2i3−2+2i3−2−2i3−2+2i32+2i32−2i3-11−1−i31+i3−1+i31−i31-11+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000000000000000
χ11166-6-6-6-666-333-333-3-300000000000000002-2-222−2i3−2+2i32+2i3−2−2i3−2+2i3−2−2i32−2i32+2i3-11−1+i31−i3−1−i31+i31-11−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000000000000000
χ11266-6-6-6-666-333-333-3-30000000000000000-666-6000000003-30000-330000000000000000000000000000000000000000000000000000000000000000
χ11312-1212-1212i−12i12i−12i-6-666−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11412-1212-12−12i12i−12i12i-6-6666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-121212i−12i−12i12i-66-66−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-1212−12i12i12i−12i-66-666i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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