Finite Group Databasebeta

← Group #13167653

Character table — Group #13167653

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222222888888888888888888888888991818181818181818181818181818181818181818181818181818181818181818181818216216216216
order1234688121224242424333666121212121212242424242424242424242424224444466888888121212121212121212122424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ511111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ611111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11
χ711111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11
χ811111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1
χ92222222222222222222222222222222222222-2-20000-2-2-2-2-2000000000000-2-2-2-2-2-2000000000000
χ1022222-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-222000000000000-2-22222000000000000
χ11222-2200-2-20000222222-2-2-2-2-2-20000000000002222-2-2-2220000002222-2-2-2-2-2-20000000000000000
χ12222-2200-2-20000222222-2-2-2-2-2-200000000000022-2-222-222000000-2-2-2-22222-2-20000000000000000
χ13222-2200-2-20000222222-2-2-2-2-2-2000000000000-2-200002-2-20022-2-2000000002200002222-2-2-2-20000
χ14222-2200-2-20000222222-2-2-2-2-2-2000000000000-2-200002-2-200-2-22200000000220000-2-2-2-222220000
χ1522-12-122-1-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ1622-12-122-1-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-22-1-122-2-2-2-211111111-1-1-1-1-1-1111111110000
χ1722-12-122-1-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-211-2-2000033−3−333−3−311111133−3−333−3−30000
χ1822-12-122-1-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-211-2-20000−3−333−3−333111111−3−333−3−3330000
χ1922-12-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-2-2-2111111112222222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000
χ2022-12-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-2-2-21111111122-2-2-2-22-1-1-2-2222211111111-1-11111-1-1-1-1-1-1-1-10000
χ2122-12-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-2-2-211111111-2-20000-21122000033−3−333−3−311-1-1-1-1−3−333−3−3330000
χ2222-12-1-2-2-1-111112-1-12-1-122-1-1-1-1-2-2-2-211111111-2-20000-211220000−3−333−3−33311-1-1-1-133−3−333−3−30000
χ2322-1-2-1001133−3−32-1-12-1-1-2-2111100003333−3−3−3−32222-2-2-2-1-1000000-1-1-1-111111133−3−333−3−3−3−3330000
χ2422-1-2-1001133−3−32-1-12-1-1-2-2111100003333−3−3−3−322-2-222-2-1-10000001111-1-1-1-11133−3−3−3−33333−3−30000
χ2522-1-2-1001133−3−32-1-12-1-1-2-2111100003333−3−3−3−3-2-200002110022-2-2−3−33333−3−3-1-1−3−333-1-1-1-111110000
χ2622-1-2-1001133−3−32-1-12-1-1-2-2111100003333−3−3−3−3-2-2000021100-2-22233−3−3−3−333-1-1−3−3331111-1-1-1-10000
χ2722-1-2-10011−3−3332-1-12-1-1-2-211110000−3−3−3−333332222-2-2-2-1-1000000-1-1-1-1111111−3−333−3−33333−3−30000
χ2822-1-2-10011−3−3332-1-12-1-1-2-211110000−3−3−3−3333322-2-222-2-1-10000001111-1-1-1-111−3−33333−3−3−3−3330000
χ2922-1-2-10011−3−3332-1-12-1-1-2-211110000−3−3−3−33333-2-200002110022-2-233−3−3−3−333-1-133−3−3-1-1-1-111110000
χ3022-1-2-10011−3−3332-1-12-1-1-2-211110000−3−3−3−33333-2-2000021100-2-222−3−33333−3−3-1-133−3−31111-1-1-1-10000
χ312-220-22−2002−22−2222-2-2-200000022−2−222−2−222−2−22-2002i−2i02-22−2−i2i2−i2i200002i−2i2i−2i002−22−2−i2i2−i2i2−i2i2−i2i20000
χ322-220-22−2002−22−2222-2-2-200000022−2−222−2−222−2−22-200−2i2i02-22−2i2−i2i2−i20000−2i2i−2i2i002−22−2i2−i2i2−i2i2−i2i2−i20000
χ332-220-22−2002−22−2222-2-2-200000022−2−222−2−222−2−2-222i−2i000-22−22−i2i2i2−i22i−2i2i−2i000000−22−22−i2i2−i2i2i2−i2i2−i20000
χ342-220-22−2002−22−2222-2-2-200000022−2−222−2−222−2−2-22−2i2i000-22−22i2−i2−i2i2−2i2i−2i2i000000−22−22i2−i2i2−i2−i2i2−i2i20000
χ352-220-2−2200−22−22222-2-2-2000000−2−222−2−222−2−2222-2002i−2i02-2−22i2−i2i2−i200002i−2i2i−2i00−22−22i2−i2i2−i2i2−i2i2−i20000
χ362-220-2−2200−22−22222-2-2-2000000−2−222−2−222−2−2222-200−2i2i02-2−22−i2i2−i2i20000−2i2i−2i2i00−22−22−i2i2−i2i2−i2i2−i2i20000
χ372-220-2−2200−22−22222-2-2-2000000−2−222−2−222−2−222-222i−2i000-222−2i2−i2−i2i22i−2i2i−2i0000002−22−2i2−i2i2−i2−i2i2−i2i20000
χ382-220-2−2200−22−22222-2-2-2000000−2−222−2−222−2−222-22−2i2i000-222−2−i2i2i2−i2−2i2i−2i2i0000002−22−2−i2i2−i2i2i2−i2i2−i20000
χ392-2-1012−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-1-1-2110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2002i−2i0-112−2−i2i2−i2i2−i3i3i3−i3−ii−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ402-2-1012−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-1-1-2110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-200−2i2i0-112−2i2−i2i2−i2i3−i3−i3i3i−ii−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ412-2-1012−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-1-1-2110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-222i−2i0001-1−22−i2i2i2−i2−ii−iii3−i3−i3i3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ422-2-1012−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-1-1-2110033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-22−2i2i0001-1−22i2−i2−i2i2i−ii−i−i3i3i3−i3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ432-2-1012−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-1-1-21100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2002i−2i0-112−2−i2i2−i2i2i3−i3−i3i3−ii−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ442-2-1012−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-1-1-21100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-200−2i2i0-112−2i2−i2i2−i2−i3i3i3−i3i−ii−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ452-2-1012−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-1-1-21100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-222i−2i0001-1−22−i2i2i2−i2−ii−ii−i3i3i3−i33−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ462-2-1012−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-1-1-21100−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-22−2i2i0001-1−22i2−i2−i2i2i−ii−ii3−i3−i3i33−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ472-2-101−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-1-1-2110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-2002i−2i0-11−22i2−i2i2−i2−i3i3i3−i3−ii−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ482-2-101−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-1-1-2110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-200−2i2i0-11−22−i2i2−i2i2i3−i3−i3i3i−ii−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ492-2-101−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-1-1-2110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-222i−2i0001-12−2i2−i2−i2i2−ii−iii3−i3−i3i3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ502-2-101−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-1-1-2110033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-22−2i2i0001-12−2−i2i2i2−i2i−ii−i−i3i3i3−i3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ512-2-101−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-1-1-21100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-2002i−2i0-11−22i2−i2i2−i2i3−i3−i3i3−ii−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ522-2-101−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-1-1-21100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-200−2i2i0-11−22−i2i2−i2i2−i3i3i3−i3i−ii−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ532-2-101−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-1-1-21100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-222i−2i0001-12−2i2−i2−i2i2−ii−ii−i3i3i3−i33−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ542-2-101−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-1-1-21100−3−333−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-22−2i2i0001-12−2−i2i2i2−i2i−ii−ii3−i3−i3i33−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ558888888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ5688888-8-888-8-8-8-8-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000000000
χ57888-8800-8-80000-1-1-1-1-1-11111113i−3i3i−3i3i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000000
χ58888-8800-8-80000-1-1-1-1-1-1111111−3i3i−3i3i−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000000
χ5988-48-488-4-4-4-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i32-1-1-1-11−3i321+3i321−3i321+3i321+3i321−3i321+3i321−3i3200000000000000000000000000000000000000000
χ6088-48-488-4-4-4-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i32-1-1-1-11+3i321−3i321+3i321−3i321−3i321+3i321−3i321+3i3200000000000000000000000000000000000000000
χ6188-48-4-8-8-4-44444-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i321111−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000000000000000
χ6288-48-4-8-8-4-44444-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i321111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000000000000000
χ6388-4-8-400444343−43−43-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i323i−3i3i−3i2ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ2200000000000000000000000000000000000000000
χ6488-4-8-400444343−43−43-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i32−3i3i−3i3i−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ2200000000000000000000000000000000000000000
χ6588-4-8-40044−43−434343-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i32−3i3i−3i3i−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ2200000000000000000000000000000000000000000
χ6688-4-8-40044−43−434343-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i323i−3i3i−3iζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ2200000000000000000000000000000000000000000
χ678-880-842−420042−4242−42-1-1-11113i−3i3i−3i−3i3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000000000000
χ688-880-842−420042−4242−42-1-1-1111−3i3i−3i3i3i−3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000000000000
χ698-880-8−424200−4242−4242-1-1-11113i−3i3i−3i−3i3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000000000000
χ708-880-8−424200−4242−4242-1-1-1111−3i3i−3i3i3i−3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000000000000
χ718-8-40442−4243−434ζ5−4ζ7−4ζ5+4ζ74ζ13−4ζ23−4ζ13+4ζ23-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7ζ5+2ζ72ζ5+ζ7−ζ5−2ζ7−2ζ13−ζ23ζ13+2ζ232ζ13+ζ23−ζ13−2ζ2300000000000000000000000000000000000000000
χ728-8-40442−4243−434ζ5−4ζ7−4ζ5+4ζ74ζ13−4ζ23−4ζ13+4ζ23-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7−2ζ5−ζ7−ζ5−2ζ72ζ5+ζ7ζ13+2ζ23−2ζ13−ζ23−ζ13−2ζ232ζ13+ζ2300000000000000000000000000000000000000000
χ738-8-40442−42−43434ζ13−4ζ23−4ζ13+4ζ234ζ5−4ζ7−4ζ5+4ζ7-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ13+2ζ23−2ζ13−ζ23−ζ13−2ζ232ζ13+ζ23ζ5+2ζ7−2ζ5−ζ7−ζ5−2ζ72ζ5+ζ700000000000000000000000000000000000000000
χ748-8-40442−42−43434ζ13−4ζ23−4ζ13+4ζ234ζ5−4ζ7−4ζ5+4ζ7-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ13−ζ23ζ13+2ζ232ζ13+ζ23−ζ13−2ζ23−2ζ5−ζ7ζ5+2ζ72ζ5+ζ7−ζ5−2ζ700000000000000000000000000000000000000000
χ758-8-404−424243−43−4ζ5+4ζ74ζ5−4ζ7−4ζ13+4ζ234ζ13−4ζ23-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7−ζ5−2ζ7−2ζ5−ζ7ζ5+2ζ72ζ13+ζ23−ζ13−2ζ23−2ζ13−ζ23ζ13+2ζ2300000000000000000000000000000000000000000
χ768-8-404−424243−43−4ζ5+4ζ74ζ5−4ζ7−4ζ13+4ζ234ζ13−4ζ23-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ72ζ5+ζ7ζ5+2ζ7−2ζ5−ζ7−ζ13−2ζ232ζ13+ζ23ζ13+2ζ23−2ζ13−ζ2300000000000000000000000000000000000000000
χ778-8-404−4242−4343−4ζ13+4ζ234ζ13−4ζ23−4ζ5+4ζ74ζ5−4ζ7-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ13−2ζ232ζ13+ζ23ζ13+2ζ23−2ζ13−ζ23−ζ5−2ζ72ζ5+ζ7ζ5+2ζ7−2ζ5−ζ700000000000000000000000000000000000000000
χ788-8-404−4242−4343−4ζ13+4ζ234ζ13−4ζ23−4ζ5+4ζ74ζ5−4ζ7-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ13+ζ23−ζ13−2ζ23−2ζ13−ζ23ζ13+2ζ232ζ5+ζ7−ζ5−2ζ7−2ζ5−ζ7ζ5+2ζ700000000000000000000000000000000000000000

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