Finite Group Databasebeta

← Group #13138706

Character table — Group #13138706

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441212121224242424242424242424242424242424272727273636363654545454545472727272
order122233446666668888999181818181818181818366699912121212121212121818181818181818182424242424242424242424242424242436363636363636363636363636363636363672727272727272727272727272727272727272727272727272727272727272727272727244441212121236363636363636363636363644442244228888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ611111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ811111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111
χ91-1-11111-1-1-11-11-1ii−i−i111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1i−i1-1iii−i−i−i111-1-1-111-1-11-1i−i1-1ii−i−i1-1i−i
χ101-1-11111-1-1-11-11-1ii−i−i111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1i−i1-1iii−i−i−i111-1-1-1-1-111-11−ii-11−i−iii-11−ii
χ111-1-11111-1-1-11-11-1ii−i−i111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11−ii-11−i−i−iiii-1-1-111111-1-1-11−ii1-1ii−i−i-11−ii
χ121-1-11111-1-1-11-11-1ii−i−i111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11−ii-11−i−i−iiii-1-1-1111-1-1111-1i−i-11−i−iii1-1i−i
χ131-1-11111-1-1-11-11-1−i−iii111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii−i-11i−i-11iii−i−i−i-1-1-111111-1-1-11i−i1-1−i−iii-11i−i
χ141-1-11111-1-1-11-11-1−i−iii111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii−i-11i−i-11iii−i−i−i-1-1-1111-1-1111-1−ii-11ii−i−i1-1−ii
χ151-1-11111-1-1-11-11-1−i−iii111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−ii1-1−ii1-1−i−i−iiii111-1-1-111-1-11-1−ii1-1−i−iii1-1−ii
χ161-1-11111-1-1-11-11-1−i−iii111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−ii1-1−ii1-1−i−i−iiii111-1-1-1-1-111-11i−i-11ii−i−i-11i−i
χ17222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ18222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000000000000000000
χ1922222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111122-2-222-2-2-1-1-1-1-1-1111111000000000000000000
χ2022222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-2-222-2-222111111-1-1-1-1-1-1000000000000000000
χ21222222-2-222222200002222222222222222222-2-2-2-2-2-2-2-22222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022220000-2-200000000
χ22222222-2-222222200002222222222222222222-2-2-2-2-2-2-2-22222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2-2-200002200000000
χ2322222-1222-1-122-12222222222222222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222000000-1-1-1-1
χ2422222-1222-1-122-12222222222222222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-20000001111
χ2522222-1222-1-122-1-2-2-2-2222222222222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-2-2-2-211111111111100000000000000000000000022-2-2000000-1-111
χ2622222-1222-1-122-1-2-2-2-2222222222222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-2-2-2-2111111111111000000000000000000000000-2-22200000011-1-1
χ272222-1222-122-1-122222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-12-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ682222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000000000
χ282222-1222-122-1-122222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-12-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-2-2-2-21111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000000000
χ292222-1222-122-1-122222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-12-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122-1-1-1-1-1-122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000000000
χ302222-1222-122-1-122222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-12-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122-1-1-1-1-1-122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-2-21111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000000000
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χ1544-4-44-2-24-422-22-22−4i−4i4i4i2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ681-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-21122-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ222ζ14+2ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ222ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ22−2ζ14−2ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ22ζ14+ζ2200000000000000000000000000000000000000
χ1554-4-44-2-24-422-22-22−4i−4i4i4i2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ681-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-21122-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ7000000000000000000000000000000000000000
χ1564-4-44-2-24-422-22-22−4i−4i4i4i−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-21122-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ7000000000000000000000000000000000000000
χ1574-4-44-2-2-4422-22-2200002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ681-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822-1-1-2-211ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800003-33-30000-33-33−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ680000002ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ6800000000000000000000000000000000000000
χ1584-4-44-2-2-4422-22-2200002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ681-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822-1-1-2-211ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000-33-3300003-33-3−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000002ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68000000−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ6800000000000000000000000000000000000000
χ1594-4-44-2-2-4422-22-2200002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ681-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822-1-1-2-211ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800003-33-30000-33-33−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68000000−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ6800000000000000000000000000000000000000
χ1604-4-44-2-2-4422-22-2200002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ681-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822-1-1-2-211ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000-33-3300003-33-3−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68000000ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ6800000000000000000000000000000000000000
χ1614-4-44-2-2-4422-22-220000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222-1-1-2-211−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200003-33-30000-33-332ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68000000−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ6800000000000000000000000000000000000000
χ1624-4-44-2-2-4422-22-220000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222-1-1-2-211−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000-33-3300003-33-32ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68000000ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ6800000000000000000000000000000000000000

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