Finite Group Databasebeta

← Group #11923155

Character table — Group #11923155

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222333344444466666633336666666666999912121212121218181818181844448888888888121212121616161616162424242424244444888888888812121212161616161616242424242424
order1222223444466644446612121212224444222222644446664444661212121222444436666631212121266612121212661212121266121212123666663121212126661212121266121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ31111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ41111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1
χ51111-1-1111-1-11111111-1-111-1-1-1-111-1-11111-1-1111-1-11111111-1-111-1-1-1-111-1-11111-1-1111-1-11111111-1-111-1-1-1-111-1-11111-1-1111-1-11111111-1-111-1-1-1-111-1-1
χ61111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111
χ71111-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-11111-1-1-1-1
χ81111-1-11-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-11111
χ91-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i1-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i1-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i1-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i
χ101-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii1-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii1-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii1-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii
χ111-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i1-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i1-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i1-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i
χ121-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii1-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii1-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii1-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii
χ131-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii1-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii1-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii1-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii
χ141-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i1-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i1-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i1-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i
χ151-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii1-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii1-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii1-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii
χ161-11-1-111−iii−i1-1-1−i−iii-11−iii−i-111-1i−i1-11-1-111−iii−i1-1-1−i−iii-11−iii−i-111-1i−i1-11-1-111−iii−i1-1-1−i−iii-11−iii−i-111-1i−i1-11-1-111−iii−i1-1-1−i−iii-11−iii−i-111-1i−i
χ17222222-12222-1-1-10000-1-1-1-1-1-1000000222222-12222-1-1-10000-1-1-1-1-1-1000000222222-12222-1-1-10000-1-1-1-1-1-1000000222222-12222-1-1-10000-1-1-1-1-1-1000000
χ18222222-1-2-2-2-2-1-1-10000-1-11111000000222222-1-2-2-2-2-1-1-10000-1-11111000000222222-1-2-2-2-2-1-1-10000-1-11111000000222222-1-2-2-2-2-1-1-10000-1-11111000000
χ192222-2-2-122-2-2-1-1-1000011-1-1110000002222-2-2-122-2-2-1-1-1000011-1-1110000002222-2-2-122-2-2-1-1-1000011-1-1110000002222-2-2-122-2-2-1-1-1000011-1-111000000
χ202222-2-2-1-2-222-1-1-100001111-1-10000002222-2-2-1-2-222-1-1-100001111-1-10000002222-2-2-1-2-222-1-1-100001111-1-10000002222-2-2-1-2-222-1-1-100001111-1-1000000
χ2122-2-20020000-22-22i−2i2i−2i00000000000022-2-20020000-22-22i−2i2i−2i00000000000022-2-20020000-22-22i−2i2i−2i00000000000022-2-20020000-22-22i−2i2i−2i000000000000
χ2222-2-20020000-22-2−2i2i−2i2i00000000000022-2-20020000-22-2−2i2i−2i2i00000000000022-2-20020000-22-2−2i2i−2i2i00000000000022-2-20020000-22-2−2i2i−2i2i000000000000
χ232-22-22-2-12i−2i2i−2i-1110000-11−ii−ii0000002-22-22-2-12i−2i2i−2i-1110000-11−ii−ii0000002-22-22-2-12i−2i2i−2i-1110000-11−ii−ii0000002-22-22-2-12i−2i2i−2i-1110000-11−ii−ii000000
χ242-22-22-2-1−2i2i−2i2i-1110000-11i−ii−i0000002-22-22-2-1−2i2i−2i2i-1110000-11i−ii−i0000002-22-22-2-1−2i2i−2i2i-1110000-11i−ii−i0000002-22-22-2-1−2i2i−2i2i-1110000-11i−ii−i000000
χ252-22-2-22-12i−2i−2i2i-11100001-1−iii−i0000002-22-2-22-12i−2i−2i2i-11100001-1−iii−i0000002-22-2-22-12i−2i−2i2i-11100001-1−iii−i0000002-22-2-22-12i−2i−2i2i-11100001-1−iii−i000000
χ262-22-2-22-1−2i2i2i−2i-11100001-1i−i−ii0000002-22-2-22-1−2i2i2i−2i-11100001-1i−i−ii0000002-22-2-22-1−2i2i2i−2i-11100001-1i−i−ii0000002-22-2-22-1−2i2i2i−2i-11100001-1i−i−ii000000
χ272-2-220020000-2-222-2-220000000000002-2-220020000-2-222-2-220000000000002-2-220020000-2-222-2-220000000000002-2-220020000-2-222-2-22000000000000
χ282-2-220020000-2-22-222-20000000000002-2-220020000-2-22-222-20000000000002-2-220020000-2-22-222-20000000000002-2-220020000-2-22-222-2000000000000
χ2944-4-400-200002-22000000000000000044-4-400-200002-22000000000000000044-4-400-200002-22000000000000000044-4-400-200002-220000000000000000
χ304-4-4400-2000022-200000000000000004-4-4400-2000022-200000000000000004-4-4400-2000022-200000000000000004-4-4400-2000022-20000000000000000
χ31111111111111111111111111111111111111111111111111111111111111−1+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+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−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−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
χ3211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ331111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ341111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ351111-1-1111-1-11111111-1-111-1-1-1-111-1-11111-1-1111-1-11111111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ361111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ371111-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ381111-1-11-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ391-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i1-11-11-11i−ii−i1-1-1ii−i−i1-1i−ii−i1-11-1i−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ401-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii1-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11
χ411-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i1-11-11-11−ii−ii1-1-1ii−i−i1-1−ii−ii-11-11i−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11
χ421-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii1-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ431-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii1-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11
χ441-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i1-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11
χ451-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii1-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11
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χ6211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1−1−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ631111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ641111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ661111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ701-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii1-11-11-11i−ii−i1-1-1−i−iii1-1i−ii−i-11-11−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
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χ721-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii1-11-11-11−ii−ii1-1-1−i−iii1-1−ii−ii1-11-1−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7
χ731-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii1-11-1-111i−i−ii1-1-1ii−i−i-11i−i−ii-111-1−ii−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7
χ741-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i1-11-1-111i−i−ii1-1-1−i−iii-11i−i−ii1-1-11i−i−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7
χ751-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii1-11-1-111−iii−i1-1-1ii−i−i-11−iii−i1-1-11−ii−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.