Finite Group Databasebeta

← Group #13178249

Character table — Group #13178249

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818363636363636363636363636363636363636363636363636363636
order122222333444466666666633333666666666666666666666121212121212121212121212666666666612121212121212121212121212121212121212122244446666121212121212121222444444466661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111
χ5111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-11-1111111-1-1-1-11111-1-1-1-1
χ7111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1111-1-111-1-1111111-1-1-1-111-1-1
χ8111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-111111111-1-111
χ91111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-1-11-11-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ101111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-1-1-1111111
χ111111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-111
χ121111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ131111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-11-11-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1
χ141111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-11111
χ151111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11-111-11-1-11-1-1111111-1-1-1-111-1-111
χ161111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-11-11111-1-111-1-111-1-111-1-1
χ1722222222-12222-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-10000000020200020000-1-100-1-1-1-100000000
χ1822222222-12222-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000111100000000-20-2000-200001100111100000000
χ1922222222-1-2-2-2-2-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111220000-1-1-1-10000000020-2000-20000-1-100111100000000
χ2022222222-1-2-2-2-2-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-20000111100000000-202000200001100-1-1-1-100000000
χ212222222-1222222-1-122222-1-12-1-1-122-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002200000000-1-1-1-1020002002-1-100-1-10000000000-1-1
χ222222222-1222222-1-122222-1-12-1-1-122-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-20000000011110-2000-200-2110011000000000011
χ232222222-12-2-2-2-22-1-122222-1-12-1-1-122-1-122-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-2-2-2-2-211-1-122-1-1-1-1-1-111-2-211111111-2-211111100002200000000-1-1-1-10-2000-20021100110000000000-1-1
χ242222222-12-2-2-2-22-1-122222-1-12-1-1-122-1-122-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-2-2-2-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000-2-200000000111102000200-2-1-100-1-1000000000011
χ25222222-1222222222-1-122-12-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10022000000-1-1-1-100000002200200000000000-1-1-1-1-1-100
χ26222222-1222222222-1-122-12-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-200000011110000000-2-200-20000000000011111100
χ27222222-122-2-2-2-2222-1-122-12-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-211-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110022000000-1-1-1-10000000-2200-2000000000001111-1-100
χ28222222-122-2-2-2-2222-1-122-12-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-211-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100-2-2000000111100000002-200200000000000-1-1-1-11100
χ292222-2-222-122-2-2-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111220000-1-1-1-100000000-202000-200001100-1-11100000000
χ302222-2-222-122-2-2-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2000011110000000020-200020000-1-10011-1-100000000
χ312222-2-222-1-2-222-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21122-1-122-2-211111111-2-21111111122-1-1-1-1-1-1-1-1220000-1-1-1-100000000-20-200020000110011-1-100000000
χ322222-2-222-1-2-222-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21122-1-122-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-20000111100000000202000-20000-1-100-1-11100000000
χ332222-2-22-1222-2-22-1-122222-1-12-1-1-1-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-211111100002200000000-1-1-1-10-2000200-21100-1-1000000000011
χ342222-2-22-1222-2-22-1-122222-1-12-1-1-1-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-2-200000000111102000-2002-1-100110000000000-1-1
χ352222-2-22-12-2-2222-1-122222-1-12-1-1-1-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-22222-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100002200000000-1-1-1-102000-200-2-1-10011000000000011
χ362222-2-22-12-2-2222-1-122222-1-12-1-1-1-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-22222-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000-2-20000000011110-200020021100-1-10000000000-1-1
χ372222-2-2-12222-2-2222-1-122-12-1-12-1-111-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-1-12211-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110022000000-1-1-1-10000000-2-200200000000000-1-1111100
χ382222-2-2-12222-2-2222-1-122-12-1-12-1-111-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-1-12211-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111100-2-2000000111100000002200-20000000000011-1-1-1-100
χ392222-2-2-122-2-222222-1-122-12-1-12-1-111-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-122221111-2-211111111-2-21111-1-1-1-122-1-1-1-10022000000-1-1-1-100000002-200-20000000000011-1-11100
χ402222-2-2-122-2-222222-1-122-12-1-12-1-111-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-122221111-2-211111111-2-21111-1-1-1-122-1-1-1-100-2-200000011110000000-2200200000000000-1-111-1-100
χ4122-2-2002220000-22-22-22-2-2-222222000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000
χ4222-2-2002220000-22-22-22-2-2-222222000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000
χ4322-2-2002220000-22-22-22-2-2-222222000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000
χ4422-2-2002220000-22-22-22-2-2-222222000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000
χ452-22-22-22222i−2i2i−2i2-22-2-2-2-22-2222222-22-22-222222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-22-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000
χ462-22-22-2222−2i2i−2i2i2-22-2-2-2-22-2222222-22-22-222222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-22-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000
χ472-22-22-222-12i−2i2i−2i-1-22-2-2112-22-1-1-1-12-22-2-112-1-1-1-1-2-2111111112i−2i2i−2i−ii2i−2i−ii2i−2i2-2-11-11-1-1112i−2i−ii−ii−i−iii2i−2i−ii−ii−i−iii000000−i3i3−i3i30000000000000000000−i3i3003−33−300000000
χ482-22-22-222-12i−2i2i−2i-1-22-2-2112-22-1-1-1-12-22-2-112-1-1-1-1-2-2111111112i−2i2i−2i−ii2i−2i−ii2i−2i2-2-11-11-1-1112i−2i−ii−ii−i−iii2i−2i−ii−ii−i−iii000000i3−i3i3−i30000000000000000000i3−i300−33−3300000000
χ492-22-22-222-1−2i2i−2i2i-1-22-2-2112-22-1-1-1-12-22-2-112-1-1-1-1-2-211111111−2i2i−2i2ii−i−2i2ii−i−2i2i2-2-11-11-1-111−2i2ii−ii−iii−i−i−2i2ii−ii−iii−i−i000000−i3i3−i3i30000000000000000000−i3i300−33−3300000000
χ502-22-22-222-1−2i2i−2i2i-1-22-2-2112-22-1-1-1-12-22-2-112-1-1-1-1-2-211111111−2i2i−2i2ii−i−2i2ii−i−2i2i2-2-11-11-1-111−2i2ii−ii−iii−i−i−2i2ii−ii−iii−i−i000000i3−i3i3−i30000000000000000000i3−i3003−33−300000000
χ512-22-22-22-122i−2i2i−2i21-1-2-2-2-221-12-1-1-12-2-112-2-12-1-1-111-2-2111111−ii2i−2i2i−2i2i−2i2i−2i−ii-112-2-11-1-111−ii2i−2i−ii−i−iii−ii2i−2i−ii−i−iii000000000000003−33−3000000000−i3i300−i3i300000000003−3
χ522-22-22-22-122i−2i2i−2i21-1-2-2-2-221-12-1-1-12-2-112-2-12-1-1-111-2-2111111−ii2i−2i2i−2i2i−2i2i−2i−ii-112-2-11-1-111−ii2i−2i−ii−i−iii−ii2i−2i−ii−i−iii00000000000000−33−33000000000i3−i300i3−i30000000000−33
χ532-22-22-22-12−2i2i−2i2i21-1-2-2-2-221-12-1-1-12-2-112-2-12-1-1-111-2-2111111i−i−2i2i−2i2i−2i2i−2i2ii−i-112-2-11-1-111i−i−2i2ii−iii−i−ii−i−2i2ii−iii−i−i000000000000003−33−3000000000i3−i300i3−i300000000003−3
χ542-22-22-22-12−2i2i−2i2i21-1-2-2-2-221-12-1-1-12-2-112-2-12-1-1-111-2-2111111i−i−2i2i−2i2i−2i2i−2i2ii−i-112-2-11-1-111i−i−2i2ii−iii−i−ii−i−2i2ii−iii−i−i00000000000000−33−33000000000−i3i300−i3i30000000000−33
χ552-22-22-2-1222i−2i2i−2i2-2211-2-2-1-2-1-12-1-1-112-22-2-1-12-1-11111-2-211112i−2i−ii2i−2i−ii2i−2i2i−2i-11-112-2-1-111−ii−ii2i−2i−i−iii−ii−ii2i−2i−i−iii0000000000−i3i3−i3i3000000000000000000000003−33−3−i3i300
χ562-22-22-2-1222i−2i2i−2i2-2211-2-2-1-2-1-12-1-1-112-22-2-1-12-1-11111-2-211112i−2i−ii2i−2i−ii2i−2i2i−2i-11-112-2-1-111−ii−ii2i−2i−i−iii−ii−ii2i−2i−i−iii0000000000i3−i3i3−i300000000000000000000000−33−33i3−i300
χ572-22-22-2-122−2i2i−2i2i2-2211-2-2-1-2-1-12-1-1-112-22-2-1-12-1-11111-2-21111−2i2ii−i−2i2ii−i−2i2i−2i2i-11-112-2-1-111i−ii−i−2i2iii−i−ii−ii−i−2i2iii−i−i0000000000−i3i3−i3i300000000000000000000000−33−33−i3i300
χ582-22-22-2-122−2i2i−2i2i2-2211-2-2-1-2-1-12-1-1-112-22-2-1-12-1-11111-2-21111−2i2ii−i−2i2ii−i−2i2i−2i2i-11-112-2-1-111i−ii−i−2i2iii−i−ii−ii−i−2i2iii−i−i0000000000i3−i3i3−i3000000000000000000000003−33−3i3−i300
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χ1174-44-4-44-2-2-2−4i4i4i−4i-22-22222-22111−1−3i32−1+3i322-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i2i−2i2i−2i−2i2i−2i2i−2i2i-11-11-111+3i321−3i32−1−3i32−1+3i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11000000000000000000000000000000000000000000000
χ1184-44-4-44-2-2-2−4i4i4i−4i-22-22222-22111−1+3i32−1−3i322-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i2i−2i2i−2i−2i2i−2i2i−2i2i-11-11-111−3i321+3i32−1+3i32−1−3i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11000000000000000000000000000000000000000000000
χ1194-4-44004440000-4-4-4-44-44-4444444000000-4-4-4-4-4-44-44-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1204-4-440044-200002-4-4-442-2-444-2-2-2-2000000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ1214-4-440044-200002-4-4-442-2-444-2-2-2-2000000-42222-442-22-222-2-20000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000
χ1224-4-44004-240000-422-44-44-4-2-24-2-2-20000002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ1234-4-44004-240000-422-44-44-4-2-24-2-2-20000002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ1244-4-4400-2440000-4-4-42-2-4424-2-24-2-200000022-4222-22-2-4422-2-2000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000000000
χ1254-4-4400-2440000-4-4-42-2-4424-2-24-2-200000022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000−232323−230000000000000000000000000000000
χ12688-8-8008-4-400004-448-8-44-84-4-422200000044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-800-48-4000048-8-44-444-8-42-4220000004-24-2-2-442-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-800-4-480000-8-44-448-8442-4-422000000-244-2-22-2-44-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-800-4-4-400004-44-44-4444222−1−3i3−1+3i3000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-800-4-4-400004-44-44-4444222−1+3i3−1−3i3000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88008-4-40000444-884-4-8-4-4-422200000044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8800-48-400004-8-84-44-448-42-4220000004-24-2-24-4-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-8800-4-480000-8444-4-884-42-4-422000000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-8800-4-4-400004444-44-44-4222−1−3i3−1+3i3000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-8800-4-4-400004444-44-44-4222−1+3i3−1−3i3000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.