Finite Group Databasebeta

← Group #72210779

Character table — Group #72210779

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1122233333366666666666666666666666661212121212121212121212121212121212121212121212121212121296969696969696969696969696969696128128128128128128128128
order124882244444444444888888888888888888888888888888888888888888888844448888161616161616161636121224242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1
χ4111-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1
χ522222222222222222222222222222222222222222222222222222222222222220000000000000000-1-1-1-1-1-1-1-1
χ6222-2-22222222222222-2-22222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-1-1-1-11111
χ722-200222222-222-2-2-2-200-2-2-2-2000000002222-2-2222222-2-2-2-20000000000000000000000000000000022-2-20000
χ822-200222222-222-2-2-2-200-2-2-2-2000000002222-2-2222222-2-2-2-200000000000000000000000000000000-1-11133−3−3
χ922-200222222-222-2-2-2-200-2-2-2-2000000002222-2-2222222-2-2-2-200000000000000000000000000000000-1-111−3−333
χ1033333333333333333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000
χ1133333333333333333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000
χ123333333-1-1-1-13-1-1-1-1-1-133−1+2i−1+2i−1−2i−1−2i-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i−1+2i−1−2i−1+2i−1−2i1111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i1111-1-1-1-1ii−i−iii−i−i00000000
χ133333333-1-1-1-13-1-1-1-1-1-133−1+2i−1+2i−1−2i−1−2i-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i−1+2i−1−2i−1+2i−1−2i1111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i-1-1-1-11111−i−iii−i−iii00000000
χ143333333-1-1-1-13-1-1-1-1-1-133−1−2i−1−2i−1+2i−1+2i-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i−1−2i−1+2i−1−2i−1+2i1111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i1111-1-1-1-1−i−iii−i−iii00000000
χ153333333-1-1-1-13-1-1-1-1-1-133−1−2i−1−2i−1+2i−1+2i-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i−1−2i−1+2i−1−2i−1+2i1111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i-1-1-1-11111ii−i−iii−i−i00000000
χ1633333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-12ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221111−1+2i−1+2i−1−2i−1−2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22i−ii−i1+21−2−1−i2−1+i21+21−2−1−i2−1+i21+21+21−21−2−1−i2−1−i2−1+i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ2211-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ1733333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-12ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221111−1+2i−1+2i−1−2i−1−2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22i−ii−i1+21−2−1−i2−1+i21+21−2−1−i2−1+i21+21+21−21−2−1−i2−1−i2−1+i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22-1-111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ1833333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-1−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221111−1+2i−1+2i−1−2i−1−2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22i−ii−i1−21+2−1+i2−1−i21−21+2−1+i2−1−i21−21−21+21+2−1+i2−1+i2−1−i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ2211-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ1933333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-1−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221111−1+2i−1+2i−1−2i−1−2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22i−ii−i1−21+2−1+i2−1−i21−21+2−1+i2−1−i21−21−21+21+2−1+i2−1+i2−1−i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22-1-111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ2033333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-1−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231111−1−2i−1−2i−1+2i−1+2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−ii−ii1+21−2−1+i2−1−i21+21−2−1+i2−1−i21+21+21−21−2−1+i2−1+i2−1−i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ2311-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ2133333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-1−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231111−1−2i−1−2i−1+2i−1+2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−ii−ii1+21−2−1+i2−1−i21+21−2−1+i2−1−i21+21+21−21−2−1+i2−1+i2−1−i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23-1-111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ2233333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-12ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231111−1−2i−1−2i−1+2i−1+2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−ii−ii1−21+2−1−i2−1+i21−21+2−1−i2−1+i21−21−21+21+2−1−i2−1−i2−1+i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ2311-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ2333333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-12ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231111−1−2i−1−2i−1+2i−1+2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−ii−ii1−21+2−1−i2−1+i21−21+2−1−i2−1+i21−21−21+21+2−1−i2−1−i2−1+i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23-1-111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ24333-3-33333333333333-3-3-1-1-1-1-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-111-1-1-1-1-1-1111100000000
χ25333-3-33333333333333-3-3-1-1-1-1-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1111111-1-1-1-100000000
χ26333-3-333-1-1-1-13-1-1-1-1-1-1-3-3−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i−1+2i−1−2i−1+2i−1−2i11111111-1-1-1-1-1-1-1-11−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i1-11-1-1-111ii−i−i−i−iii00000000
χ27333-3-333-1-1-1-13-1-1-1-1-1-1-3-3−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i−1+2i−1−2i−1+2i−1−2i11111111-1-1-1-1-1-1-1-11−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i-11-1111-1-1−i−iiiii−i−i00000000
χ28333-3-333-1-1-1-13-1-1-1-1-1-1-3-3−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i−1−2i−1+2i−1−2i−1+2i11111111-1-1-1-1-1-1-1-11+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i1-11-1-1-111−i−iiiii−i−i00000000
χ29333-3-333-1-1-1-13-1-1-1-1-1-1-3-3−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i−1−2i−1+2i−1−2i−1+2i11111111-1-1-1-1-1-1-1-11+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i-11-1111-1-1ii−i−i−i−iii00000000
χ30333-3-3-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i112ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22-1-1-1-11−2i1−2i1+2i1+2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22i−ii−i1+21−2−1−i2−1+i21+21−2−1−i2−1+i2−1−2−1−2−1+2−1+21+i21+i21−i21−i2−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ221-1-11i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ31333-3-3-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i112ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22-1-1-1-11−2i1−2i1+2i1+2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22i−ii−i1+21−2−1−i2−1+i21+21−2−1−i2−1+i2−1−2−1−2−1+2−1+21+i21+i21−i21−i2−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22-111-1−iii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ32333-3-3-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22-1-1-1-11−2i1−2i1+2i1+2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22i−ii−i1−21+2−1+i2−1−i21−21+2−1+i2−1−i2−1+2−1+2−1−2−1−21−i21−i21+i21+i2−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ221-1-11i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ33333-3-3-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22-1-1-1-11−2i1−2i1+2i1+2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ232ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22i−ii−i1−21+2−1+i2−1−i21−21+2−1+i2−1−i2−1+2−1+2−1−2−1−21−i21−i21+i21+i2−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22-111-1−iii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ34333-3-3-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23-1-1-1-11+2i1+2i1−2i1−2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−ii−ii1+21−2−1+i2−1−i21+21−2−1+i2−1−i2−1−2−1−2−1+2−1+21−i21−i21+i21+i2ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ231-1-11−iii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ35333-3-3-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23-1-1-1-11+2i1+2i1−2i1−2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ222ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−ii−ii1+21−2−1+i2−1−i21+21−2−1+i2−1−i2−1−2−1−2−1+2−1+21−i21−i21+i21+i2ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23-111-1i−i−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ36333-3-3-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i112ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23-1-1-1-11+2i1+2i1−2i1−2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−ii−ii1−21+2−1−i2−1+i21−21+2−1−i2−1+i2−1+2−1+2−1−2−1−21+i21+i21−i21−i2ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ231-1-11−iii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ37333-3-3-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i112ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23-1-1-1-11+2i1+2i1−2i1−2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−ii−ii1−21+2−1−i2−1+i21−21+2−1−i2−1+i2−1+2−1+2−1−2−1−21+i21+i21−i21−i2ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23-111-1i−i−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ384-4022−224-444-4-404-4000022−2200002222−22−2222−2222−220000000000000000000000000000000000000000000000001-13−3ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23
χ394-4022−224-444-4-404-4000022−2200002222−22−2222−2222−220000000000000000000000000000000000000000000000001-1−33ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.