Finite Group Databasebeta

← Group #13137362

Character table — Group #13137362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order1222344444466612121212121233666666121212121212121212121212366612121212121212121212121212121212121288888888242424242424242424242424242424242244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ611111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ711111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ811111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000220000-1-1-1-1
χ10222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200001111
χ1122222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222-2-2-2-2222-2-222-2-2222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ142222222-2-2-2-2222-2-222-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111-1-1111111-1-1-1-1111100000000000000000000000000000000−i3i3−i3i3
χ152222222-2-2-2-2222-2-222-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111-1-1111111-1-1-1-1111100000000000000000000000000000000i3−i3i3−i3
χ162222222-2-2-2-2222-2-222-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-1-2-222-2-21111-1-1-1-11111000000003333−3−3−3−33333−3−3−3−3000000000000
χ172222222-2-2-2-2222-2-222-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-1-2-222-2-21111-1-1-1-1111100000000−3−3−3−33333−3−3−3−33333000000000000
χ1822222-2-222-2-2222-2-2-2-22222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ1922222-2-222-2-2222-2-2-2-2222-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-11111-1-111111111-1-1-1-100000000000000000000000000000000−i3i3i3−i3
χ2022222-2-222-2-2222-2-2-2-2222-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-11111-1-111111111-1-1-1-100000000000000000000000000000000i3−i3−i3i3
χ2122222-2-222-2-2222-2-2-2-222-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-2-2-22211111111-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000000000
χ2222222-2-222-2-2222-2-2-2-222-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-2-2-22211111111-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000000000
χ2322222-2-2-2-22222222-2-2-2-22-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000002-20000-1-111
χ2422222-2-2-2-22222222-2-2-2-22-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000-22000011-1-1
χ2522222-2-2-2-22222222-2-2-2-2-12-1-1-122211111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222-2-2-2-22222222-2-2-2-2-12-1-1-122211111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722-2-2200002-22-2-22-20000222-2-22-2-20000000022-2-222-2-22-2000022-2-20000000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2822-2-2200002-22-2-22-20000222-2-22-2-20000000022-2-222-2-22-2000022-2-2000000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2922-2-2200002-22-2-22-20000-12-1112-2-233−3−333−3−3-1-111-1-1112-20000-1-11133−3−333−3−300002i2i−2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000
χ3022-2-2200002-22-2-22-20000-12-1112-2-233−3−333−3−3-1-111-1-1112-20000-1-11133−3−333−3−30000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000
χ3122-2-2200002-22-2-22-20000-12-1112-2-2−3−333−3−333-1-111-1-1112-20000-1-111−3−333−3−33300002i2i−2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii000000000000
χ3222-2-2200002-22-2-22-20000-12-1112-2-2−3−333−3−333-1-111-1-1112-20000-1-111−3−333−3−3330000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i000000000000
χ3322-2-220000-222-2-2-220000222-2-22-2-200000000-2-22222-2-2-220000-2-222000000002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ3422-2-220000-222-2-2-220000222-2-22-2-200000000-2-22222-2-2-220000-2-22200000000−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ3522-2-220000-222-2-2-220000-12-1112-2-233−3−3−3−33311-1-1-1-111-22000011-1-133−3−3−3−3332i2i−2i−2i0000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3000000000000
χ3622-2-220000-222-2-2-220000-12-1112-2-233−3−3−3−33311-1-1-1-111-22000011-1-133−3−3−3−333−2i−2i2i2i0000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3000000000000
χ3722-2-220000-222-2-2-220000-12-1112-2-2−3−33333−3−311-1-1-1-111-22000011-1-1−3−33333−3−32i2i−2i−2i0000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3000000000000
χ3822-2-220000-222-2-2-220000-12-1112-2-2−3−33333−3−311-1-1-1-111-22000011-1-1−3−33333−3−3−2i−2i2i2i0000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3000000000000
χ392-22-222-20000-22-2002-20022-22-2-22-22-22-2000000002-22-2002-20000002-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-222-20000-22-2002-20022-22-2-22-22-22-2000000002-22-2002-20000002-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-222-20000-22-2002-200-121-11-22-2-11-113−33−33−33−3-11-11002-2003−33−3-11-113−33−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ422-22-222-20000-22-2002-200-121-11-22-2-11-113−33−33−33−3-11-11002-2003−33−3-11-113−33−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ432-22-222-20000-22-2002-200-121-11-22-2-11-11−33−33−33−33-11-11002-200−33−33-11-11−33−33−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ442-22-222-20000-22-2002-200-121-11-22-2-11-11−33−33−33−33-11-11002-200−33−33-11-11−33−33i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ452-22-22-220000-22-200-220022-22-2-22-2-22-22000000002-22-200-22000000-22-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-22-220000-22-200-220022-22-2-22-2-22-22000000002-22-200-22000000-22-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-22-220000-22-200-2200-121-11-22-21-11-13−33−3−33−33-11-1100-2200−33−331-11-13−33−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ482-22-22-220000-22-200-2200-121-11-22-21-11-13−33−3−33−33-11-1100-2200−33−331-11-13−33−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ492-22-22-220000-22-200-2200-121-11-22-21-11-1−33−333−33−3-11-1100-22003−33−31-11-1−33−33−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ502-22-22-220000-22-200-2200-121-11-22-21-11-1−33−333−33−3-11-1100-22003−33−31-11-1−33−33i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ512-2-222002-200-2-2200002-222-2-22-2-2200002-2-2200002-2-2200002-2000000002-2-222−2−222−2−222−2−22−222−22−2−222−2−22000000000000
χ522-2-222002-200-2-2200002-222-2-22-2-2200002-2-2200002-2-2200002-2000000002-2-22−222−2−222−2−222−22−2−22−222−2−222−2000000000000
χ532-2-222002-200-2-2200002-2-1211-1-2-223−3−33-111-1−333−3-111-100002-2−333−33−3−33-111-12−2−222−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ542-2-222002-200-2-2200002-2-1211-1-2-223−3−33-111-1−333−3-111-100002-2−333−33−3−33-111-1−222−2−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ552-2-222002-200-2-2200002-2-1211-1-2-22−333−3-111-13−3−33-111-100002-23−3−33−333−3-111-12−2−222−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ562-2-222002-200-2-2200002-2-1211-1-2-22−333−3-111-13−3−33-111-100002-23−3−33−333−3-111-1−222−2−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ572-2-22200-2200-2-220000-2222-2-22-2-220000-222-200002-2-220000-2200000000-222-22−2−22−222−22−2−22−222−2−222−2−222−2000000000000
χ582-2-22200-2200-2-220000-2222-2-22-2-220000-222-200002-2-220000-2200000000-222-2−222−22−2−22−222−22−2−222−2−222−2−22000000000000
χ592-2-22200-2200-2-220000-22-1211-1-2-223−3−331-1-113−3−33-111-10000-223−3−333−3−331-1-112−2−22−222−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ602-2-22200-2200-2-220000-22-1211-1-2-223−3−331-1-113−3−33-111-10000-223−3−333−3−331-1-11−222−22−2−22−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ612-2-22200-2200-2-220000-22-1211-1-2-22−333−31-1-11−333−3-111-10000-22−333−3−333−31-1-112−2−22−222−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ622-2-22200-2200-2-220000-22-1211-1-2-22−333−31-1-11−333−3-111-10000-22−333−3−333−31-1-11−222−22−2−22−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ6344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ644444444-4-4-4-4444-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-222222222111122-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6544444-4-444-4-4444-4-4-4-444-2-2-2-2-2-2-2-22222-2-2-2-2222211112222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6644444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-222222222-2-2-2-21111-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ6744-4-4400004-44-4-44-400004-24-4-4-2220000000044-4-4-2-222-220000-2-22200000000000000000000000000000000000000000000
χ6844-4-4400004-44-4-44-40000-2-2-222-2222323−23−232323−23−23-2-22211-1-1-22000011-1-1−3−333−3−333000000000000000000000000000000000000
χ6944-4-4400004-44-4-44-40000-2-2-222-222−23−232323−23−232323-2-22211-1-1-22000011-1-133−3−333−3−3000000000000000000000000000000000000
χ7044-4-440000-444-4-4-4400004-24-4-4-22200000000-4-444-2-2222-2000022-2-200000000000000000000000000000000000000000000
χ7144-4-440000-444-4-4-440000-2-2-222-2222323−23−23−23−23232322-2-211-1-12-20000-1-111−3−33333−3−3000000000000000000000000000000000000
χ7244-4-440000-444-4-4-440000-2-2-222-222−23−2323232323−23−2322-2-211-1-12-20000-1-11133−3−3−3−333000000000000000000000000000000000000
χ734-44-444-40000-44-4004-4004-2-44-42-224-44-400000000-22-2200-22000000-22-220000000000000000000000000000000000000000
χ744-44-444-40000-44-4004-400-2-22-222-22-22-2223−2323−2323−2323−231-11-100-2200−33−331-11-1−33−33000000000000000000000000000000000000
χ754-44-444-40000-44-4004-400-2-22-222-22-22-22−2323−2323−2323−23231-11-100-22003−33−31-11-13−33−3000000000000000000000000000000000000
χ764-44-44-440000-44-400-44004-2-44-42-22-44-4400000000-22-22002-20000002-22-20000000000000000000000000000000000000000
χ774-44-44-440000-44-400-4400-2-22-222-222-22-223−2323−23−2323−23231-11-1002-2003−33−3-11-11−33−33000000000000000000000000000000000000
χ784-44-44-440000-44-400-4400-2-22-222-222-22-2−2323−232323−2323−231-11-1002-200−33−33-11-113−33−3000000000000000000000000000000000000
χ794-4-444004-400-4-4400004-44-2-4-4422-200004-4-440000-222-20000-2200000000-222-2000000000000000000000000000000000000
χ804-4-444004-400-4-4400004-4-2-222-222-223−23−2323-222-2−232323−231-1-110000-223−3−33−333−31-1-11000000000000000000000000000000000000
χ814-4-444004-400-4-4400004-4-2-222-222-2−232323−23-222-223−23−23231-1-110000-22−333−33−3−331-1-11000000000000000000000000000000000000
χ824-4-44400-4400-4-440000-444-2-4-4422-20000-444-40000-222-200002-2000000002-2-22000000000000000000000000000000000000
χ834-4-44400-4400-4-440000-44-2-222-222-223−23−23232-2-2223−23−23231-1-1100002-2−333−3−333−3-111-1000000000000000000000000000000000000
χ844-4-44400-4400-4-440000-44-2-222-222-2−232323−232-2-22−232323−231-1-1100002-23−3−333−3−33-111-1000000000000000000000000000000000000
χ856666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000002200-1-1-1-10000
χ866666-3666666-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000-2-20011110000
χ876666-366-6-6-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i30000
χ886666-366-6-6-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i30000
χ896666-3-6-666-6-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000
χ906666-3-6-666-6-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000
χ916666-3-6-6-6-666-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000002-200-1-1110000
χ926666-3-6-6-6-666-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000-220011-1-10000
χ931212-12-12-6000012-12-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-12-60000-1212-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-612-1200006-6600-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-6-121200006-66006-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212-60012-120066-60000-66000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-600-12120066-600006-6000000000000000000000000000000000000000000000000000000000000000000000000000000

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