Finite Group Databasebeta

← Group #13146861

Character table — Group #13146861

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222223333333333333333666666666666121212121212121212121212181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424363636363636363636363636
order124488883612122424242433661212121224242424242424242466881212242424246661212122424242424244444888812121212121212122424242424242424333666121212121212242424242424242424242424246688121224242424
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+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−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+i321−1−i32−1+i3211−1−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+i3211−1−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+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−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+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+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−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+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−i321−1+i32−1−i3211−1+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−i3211−1+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−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+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−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
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−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+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−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−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+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−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+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ1311-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-11-1-1i−i11i−ii−i-1-1-1111i−ii−ii−iii−i−i11-1-1ii−i−iii−i−i11-1-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i1-111i−i-1-1i−ii−i
χ1411-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-11-1-1i−i11i−ii−i-1-1-1111i−ii−ii−i−i−iii-1-111−i−iii−i−iii-1-111-1-111111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-11-1-1−ii11−ii−ii
χ1511-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14ii−i−i11-1-1ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14
χ1611-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14−i−iii-1-111−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ1711-1-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22ii−i−i11-1-1ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22
χ1811-1-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22−i−iii-1-111−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ1911-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-11-1-1−ii11−ii−ii-1-1-1111−ii−ii−iiii−i−i-1-111ii−i−iii−i−i-1-111-1-111111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-11-1-1i−i11i−ii−i
χ2011-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-11-1-1−ii11−ii−ii-1-1-1111−ii−ii−ii−i−iii11-1-1−i−iii−i−iii11-1-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii1-111−ii-1-1−ii−ii
χ2111-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14ii−i−i-1-111ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ2211-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14−i−iii11-1-1−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14
χ2311-1-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22ii−i−i-1-111ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ2411-1-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22−i−iii11-1-1−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
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+i322−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−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−i322−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000000000000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ282222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
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−i322−1−i3−1+i3-2-2−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i3000000000000000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−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+i322−1+i3−1−i3-2-2−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i3000000000000000000000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3122-2-22i2i−2i−2i22-2-22i2i−2i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i-22-2-22i−2i222i−2i2i−2i-2-2-22222i−2i2i−2i2i−2i000000000000000000000000-1-1-1-1-1-1111111−i−iii−i−iii−i−iii000000000000
χ3222-2-22i2i−2i−2i22-2-22i2i−2i−2i−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32ζ222ζ22−2ζ22−2ζ222ζ142ζ14−2ζ14−2ζ14-221+i31−i32i−2i−1−i3−1+i32ζ22−2ζ222ζ14−2ζ14-21+i31−i32−1−i3−1+i32i−2i2ζ22−2ζ222ζ14−2ζ14000000000000000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14000000000000
χ3322-2-22i2i−2i−2i22-2-22i2i−2i−2i−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32ζ142ζ14−2ζ14−2ζ142ζ222ζ22−2ζ22−2ζ22-221−i31+i32i−2i−1+i3−1−i32ζ14−2ζ142ζ22−2ζ22-21−i31+i32−1+i3−1−i32i−2i2ζ14−2ζ142ζ22−2ζ22000000000000000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22000000000000
χ3422-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-22-2-2−2i2i22−2i2i−2i2i-2-2-2222−2i2i−2i2i−2i2i000000000000000000000000-1-1-1-1-1-1111111ii−i−iii−i−iii−i−i000000000000
χ3522-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−2ζ22−2ζ222ζ222ζ22−2ζ14−2ζ142ζ142ζ14-221+i31−i3−2i2i−1−i3−1+i3−2ζ222ζ22−2ζ142ζ14-21+i31−i32−1−i3−1+i3−2i2i−2ζ222ζ22−2ζ142ζ14000000000000000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14000000000000
χ3622-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−2ζ14−2ζ142ζ142ζ14−2ζ22−2ζ222ζ222ζ22-221−i31+i3−2i2i−1+i3−1−i3−2ζ142ζ14−2ζ222ζ22-21−i31+i32−1+i3−1−i3−2i2i−2ζ142ζ14−2ζ222ζ22000000000000000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22000000000000
χ372-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-22i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000001−i−1+i1+i−1−i−i2i22−21−i−1+i1+i−1−i1−i−1+i1+i−1−i−i2i22−2−i2i22−2-1-1-1111i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000000000
χ382-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-22i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000−1+i1−i−1−i1+ii2−i2−22−1+i1−i−1−i1+i−1+i1−i−1−i1+ii2−i2−22i2−i2−22-1-1-1111i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000000000
χ392-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ50000000000000000000000001−i−1+i1+i−1−i−i2i22−2−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5000000000000
χ402-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ5000000000000000000000000−1+i1−i−1−i1+ii2−i2−22ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5000000000000
χ412-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ130000000000000000000000001−i−1+i1+i−1−i−i2i22−2−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13000000000000
χ422-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ13000000000000000000000000−1+i1−i−1−i1+ii2−i2−22ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13000000000000
χ432-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-22i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000001−i−1+i1+i−1−ii2−i2−221−i−1+i1+i−1−i1−i−1+i1+i−1−ii2−i2−22i2−i2−22-1-1-1111i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000000000
χ442-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-22i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000−1+i1−i−1−i1+i−i2i22−2−1+i1−i−1−i1+i−1+i1−i−1−i1+i−i2i22−2−i2i22−2-1-1-1111i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000000000
χ452-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ142ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ50000000000000000000000001−i−1+i1+i−1−ii2−i2−22−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5000000000000
χ462-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ142ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ5000000000000000000000000−1+i1−i−1−i1+i−i2i22−2ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5000000000000
χ472-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ222ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ130000000000000000000000001−i−1+i1+i−1−ii2−i2−22−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13000000000000
χ482-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ222ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ13000000000000000000000000−1+i1−i−1−i1+i−i2i22−2ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13000000000000
χ492-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000001+i−1−i1−i−1+ii2−i22−21+i−1−i1−i−1+i1+i−1−i1−i−1+ii2−i22−2i2−i22−2-1-1-1111−ii−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000000000
χ502-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000−1−i1+i−1+i1−i−i2i2−22−1−i1+i−1+i1−i−1−i1+i−1+i1−i−i2i2−22−i2i2−22-1-1-1111−ii−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000000000
χ512-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ142ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ230000000000000000000000001+i−1−i1−i−1+ii2−i22−2−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23000000000000
χ522-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ142ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ23000000000000000000000000−1−i1+i−1+i1−i−i2i2−22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23000000000000
χ532-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ222ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ70000000000000000000000001+i−1−i1−i−1+ii2−i22−2ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7000000000000
χ542-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ222ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7000000000000000000000000−1−i1+i−1+i1−i−i2i2−22−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7000000000000
χ552-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000001+i−1−i1−i−1+i−i2i2−221+i−1−i1−i−1+i1+i−1−i1−i−1+i−i2i2−22−i2i2−22-1-1-1111−ii−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000000000
χ562-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000−1−i1+i−1+i1−ii2−i22−2−1−i1+i−1+i1−i−1−i1+i−1+i1−ii2−i22−2i2−i22−2-1-1-1111−ii−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000000000
χ572-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ14−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ230000000000000000000000001+i−1−i1−i−1+i−i2i2−22−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23000000000000
χ582-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ14−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23000000000000000000000000−1−i1+i−1+i1−ii2−i22−2ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23000000000000
χ592-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ70000000000000000000000001+i−1−i1−i−1+i−i2i2−22ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7000000000000
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χ11612-12−12i12i12ζ5+12ζ13−12ζ5−12ζ13−12ζ7−12ζ2312ζ7+12ζ23-666i−6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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