Finite Group Databasebeta

← Group #13166071

Character table — Group #13166071

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222333344446666666688889999121212121616161616161616161616161616161618181818181818181818181818181818272727273636363636363636363636363636363672727272
order1244336612121212224436121266661212121236121288886612123333666612121212121212122244444488888888888866121212121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−i
χ611-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−i-1-111-1-111−i−iii−i−iiiii−i−i
χ711-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii
χ811-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii-1-111-1-111ii−i−iii−i−i−i−iii
χ91-1i−i11-1-1i−ii−i1-1i−i1-1i−i1-11-1i−ii−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ101-1i−i11-1-1i−ii−i1-1i−i1-1i−i1-11-1i−ii−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−ii-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ111-1i−i11-1-1i−ii−i1-1i−i1-1i−i1-11-1i−ii−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ121-1i−i11-1-1i−ii−i1-1i−i1-1i−i1-11-1i−ii−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−ii-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ131-1−ii11-1-1−ii−ii1-1−ii1-1−ii1-11-1−ii−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii11-1-1−ii−ii1-1−ii1-1−ii1-11-1−ii−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11i−i-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ151-1−ii11-1-1−ii−ii1-1−ii1-1−ii1-11-1−ii−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ161-1−ii11-1-1−ii−ii1-1−ii1-1−ii1-11-1−ii−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−i-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ172222222222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000000000000000-1-1-1-1
χ182222222222222222222222222222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000000000001111
χ1922222-12-1-1-1222222-1-1-1-122-1-1-1-12222220000-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122222222000000000000-1-1-1-1-1-1-1-1000000000000
χ2022222-12-1-1-1222222-1-1-1-122-1-1-1-12222220000-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-200000000000011111111000000000000
χ212222-12-1222-1-12222-1-1-1-1-1-12222-1-122220000-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000022222222000000000000-1-1-1-1-1-1-1-10000
χ222222-12-1222-1-12222-1-1-1-1-1-12222-1-122220000-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2-2-2-2-2-2000000000000111111110000
χ2322-2-22222-2-2-2-222-2-222-2-22222-2-2-2-2-1-1112i2i−2i−2i22-2-2-1-1-1-1-1-1-1-11111111100000000000000002i2i−2i−2i0000000000000000−i−iii
χ2422-2-22222-2-2-2-222-2-222-2-22222-2-2-2-2-1-111−2i−2i2i2i22-2-2-1-1-1-1-1-1-1-1111111110000000000000000−2i−2i2i2i0000000000000000ii−i−i
χ2522-2-22-12-111-2-222-2-2-1-11122-1-111-2-222-2-20000-1-1112-1-1-12-1-1-1-2111-211122-2-222-2-2000000000000-1-111-1-111000000000000
χ2622-2-22-12-111-2-222-2-2-1-11122-1-111-2-222-2-20000-1-1112-1-1-12-1-1-1-2111-2111-2-222-2-22200000000000011-1-111-1-1000000000000
χ2722-2-2-12-12-2-21122-2-2-1-111-1-122-2-21122-2-20000-1-111-12-1-1-12-1-11-2111-211000000002i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000
χ2822-2-2-12-12-2-21122-2-2-1-111-1-122-2-21122-2-20000-1-111-12-1-1-12-1-11-2111-21100000000−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000
χ292-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i-1-1-1-11111−i−i−i−iiiii00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ302-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i-1-1-1-11111−i−i−i−iiiii0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ312-22i−2i2-1-21−ii2i−2i2-22i−2i-11−ii2-2-11−ii2i−2i2-22i−2i0000-11−ii2-1-1-1-21112i−i−i−i−2iiii2-22i−2i2-22i−2i000000000000-11−ii-11−ii000000000000
χ322-22i−2i2-1-21−ii2i−2i2-22i−2i-11−ii2-2-11−ii2i−2i2-22i−2i0000-11−ii2-1-1-1-21112i−i−i−i−2iiii-22−2i2i-22−2i2i0000000000001-1i−i1-1i−i000000000000
χ332-22i−2i-121-22i−2i−ii2-22i−2i-11−ii-112-22i−2i−ii2-22i−2i0000-11−ii-12-1-11-211−i2i−i−ii−2iii000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ342-22i−2i-121-22i−2i−ii2-22i−2i-11−ii-112-22i−2i−ii2-22i−2i0000-11−ii-12-1-11-211−i2i−i−ii−2iii00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ352-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i2-2−2i2i2-22-2−2i2i−2i2i-11i−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i-1-1-1-11111iiii−i−i−i−i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ362-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i2-2−2i2i2-22-2−2i2i−2i2i-11i−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i-1-1-1-11111iiii−i−i−i−i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ372-2−2i2i2-1-21i−i−2i2i2-2−2i2i-11i−i2-2-11i−i−2i2i2-2−2i2i0000-11i−i2-1-1-1-2111−2iiii2i−i−i−i2-2−2i2i2-2−2i2i000000000000-11i−i-11i−i000000000000
χ382-2−2i2i2-1-21i−i−2i2i2-2−2i2i-11i−i2-2-11i−i−2i2i2-2−2i2i0000-11i−i2-1-1-1-2111−2iiii2i−i−i−i-222i−2i-222i−2i0000000000001-1−ii1-1−ii000000000000
χ392-2−2i2i-121-2−2i2ii−i2-2−2i2i-11i−i-112-2−2i2ii−i2-2−2i2i0000-11i−i-12-1-11-211i−2iii−i2i−i−i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ402-2−2i2i-121-2−2i2ii−i2-2−2i2i-11i−i-112-2−2i2ii−i2-2−2i2i0000-11i−i-12-1-11-211i−2iii−i2i−i−i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ41333333333333-1-1-1-13333-1-1-1-1-1-1-1-100003333-1-1-1-100000000000000001111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-10000
χ42333333333333-1-1-1-13333-1-1-1-1-1-1-1-100003333-1-1-1-10000000000000000-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111110000
χ43333333333333-1-1-1-13333-1-1-1-1-1-1-1-10000-3-3-3-3-1-1-1-100000000000000001111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111110000
χ44333333333333-1-1-1-13333-1-1-1-1-1-1-1-10000-3-3-3-3-1-1-1-10000000000000000-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-10000
χ4533-3-33333-3-3-3-3-1-11133-3-3-1-1-1-1111100003i3i−3i−3i-1-111000000000000000011-1-1-1-111ii−i−i−i−iii−i−iii11-1-1-1-111ii−i−i−i−iii0000
χ4633-3-33333-3-3-3-3-1-11133-3-3-1-1-1-1111100003i3i−3i−3i-1-1110000000000000000-1-11111-1-1−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i0000
χ4733-3-33333-3-3-3-3-1-11133-3-3-1-1-1-111110000−3i−3i3i3i-1-111000000000000000011-1-1-1-111−i−iiiii−i−iii−i−i11-1-1-1-111−i−iiiii−i−i0000
χ4833-3-33333-3-3-3-3-1-11133-3-3-1-1-1-111110000−3i−3i3i3i-1-1110000000000000000-1-11111-1-1ii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii0000
χ493-33i−3i33-3-33i−3i3i−3i-11−ii3-33i−3i-11-11−ii−ii00003ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13-11−ii00000000000000001-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ503-33i−3i33-3-33i−3i3i−3i-11−ii3-33i−3i-11-11−ii−ii00003ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13-11−ii0000000000000000-11−ii1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−ii1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ513-33i−3i33-3-33i−3i3i−3i-11−ii3-33i−3i-11-11−ii−ii0000−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13-11−ii00000000000000001-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ523-33i−3i33-3-33i−3i3i−3i-11−ii3-33i−3i-11-11−ii−ii0000−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13-11−ii0000000000000000-11−ii1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−ii1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ533-3−3i3i33-3-3−3i3i−3i3i-11i−i3-3−3i3i-11-11i−ii−i0000−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23-11i−i00000000000000001-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ543-3−3i3i33-3-3−3i3i−3i3i-11i−i3-3−3i3i-11-11i−ii−i0000−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23-11i−i0000000000000000-11i−i1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−i1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ553-3−3i3i33-3-3−3i3i−3i3i-11i−i3-3−3i3i-11-11i−ii−i00003ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23-11i−i00000000000000001-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.