Finite Group Databasebeta

← Group #13166327

Character table — Group #13166327

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991212181818181818181818181818181818181818181818181818181818181818181818182424242424242424108108108108108108
order122234466612121212336666663366666612121212121212121212121244444444888888881212121212121212242424242424242424242424242424241212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1ii−i−i
χ6111111111111111111111111111111111111111111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−i−iii
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−i−iii
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111ii−i−i
χ911111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ1011111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11
χ1111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11
χ1211111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1
χ1311111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11i−i−ii
χ1411111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11−iii−i
χ1511111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1−iii−i
χ1611111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1i−i−ii
χ172222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220022-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000
χ192222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-22i2i−2i−2i2i2i−2i−2i11111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ202222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-2−2i−2i2i2i−2i−2i2i2i11111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ212222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111222200-2-22222-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000
χ222222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111222200-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000
χ232222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-200222i2i−2i−2i−2i−2i2i2i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ242222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-20022−2i−2i2i2i2i2i−2i−2i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ2522-2-2200-22-200002222-2-2-2-22222-2-2-2-200000000000022-2-200002-22-20000000022-2-222-2-2000022-2-2000000000000000000
χ2622-2-2200-22-200002222-2-2-2-22222-2-2-2-200000000000022-2-20000-22-220000000022-2-2-2-2220000-2-222000000000000000000
χ2722-2-2200-22-200002222-2-2-2-22222-2-2-2-2000000000000-2-22200002i−2i−2i2i00000000-2-2222i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822-2-2200-22-200002222-2-2-2-22222-2-2-2-2000000000000-2-2220000−2i2i2i−2i00000000-2-222−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ2922-2-2-1001-1133−3−32222-2-2-2-2-1-1-1-1111100003333−3−3−3−322-2-200002-22-2000033−3−3-1-111-1-11133−3−3-1-11133−3−300000000000000
χ3022-2-2-1001-1133−3−32222-2-2-2-2-1-1-1-1111100003333−3−3−3−322-2-20000-22-22000033−3−3-1-11111-1-1−3−33311-1-1−3−33300000000000000
χ3122-2-2-1001-1133−3−32222-2-2-2-2-1-1-1-1111100003333−3−3−3−3-2-22200002i−2i−2i2i0000−3−33311-1-1−i−iiii3i3−i3−i3ii−i−i−i3−i3i3i300000000000000
χ3222-2-2-1001-1133−3−32222-2-2-2-2-1-1-1-1111100003333−3−3−3−3-2-2220000−2i2i2i−2i0000−3−33311-1-1ii−i−i−i3−i3i3i3−i−iiii3i3−i3−i300000000000000
χ3322-2-2-1001-11−3−3332222-2-2-2-2-1-1-1-111110000−3−3−3−3333322-2-200002-22-20000−3−333-1-111-1-111−3−333-1-111−3−33300000000000000
χ3422-2-2-1001-11−3−3332222-2-2-2-2-1-1-1-111110000−3−3−3−3333322-2-20000-22-220000−3−333-1-11111-1-133−3−311-1-133−3−300000000000000
χ3522-2-2-1001-11−3−3332222-2-2-2-2-1-1-1-111110000−3−3−3−33333-2-22200002i−2i−2i2i000033−3−311-1-1−i−iii−i3−i3i3i3ii−i−ii3i3−i3−i300000000000000
χ3622-2-2-1001-11−3−3332222-2-2-2-2-1-1-1-111110000−3−3−3−33333-2-2220000−2i2i2i−2i000033−3−311-1-1ii−i−ii3i3−i3−i3−i−iii−i3−i3i3i300000000000000
χ372-22-2200-2-22000022-2-2-2-22222-2-222-2-20000000000002i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002i−2i2i−2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000
χ382-22-2200-2-22000022-2-2-2-22222-2-222-2-20000000000002i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002i−2i2i−2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000
χ392-22-2200-2-22000022-2-2-2-22222-2-222-2-2000000000000−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2i2i−2i2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ402-22-2200-2-22000022-2-2-2-22222-2-222-2-2000000000000−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2i2i−2i2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ412-22-2-10011-13−33−322-2-2-2-222-1-111-1-111000033−3−333−3−32i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−i3i3−i3i3−ii−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000
χ422-22-2-10011-13−33−322-2-2-2-222-1-111-1-111000033−3−333−3−32i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−i3i3−i3i3−ii−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000
χ432-22-2-10011-13−33−322-2-2-2-222-1-111-1-111000033−3−333−3−3−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13i3−i3i3−i3i−ii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000
χ442-22-2-10011-13−33−322-2-2-2-222-1-111-1-111000033−3−333−3−3−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13i3−i3i3−i3i−ii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000
χ452-22-2-10011-1−33−3322-2-2-2-222-1-111-1-1110000−3−333−3−3332i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i3−i3i3−i3−ii−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000
χ462-22-2-10011-1−33−3322-2-2-2-222-1-111-1-1110000−3−333−3−3332i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i3−i3i3−i3−ii−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000
χ472-22-2-10011-1−33−3322-2-2-2-222-1-111-1-1110000−3−333−3−333−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−i3i3−i3i3i−ii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000
χ482-22-2-10011-1−33−3322-2-2-2-222-1-111-1-1110000−3−333−3−333−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−i3i3−i3i3i−ii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000
χ492-2-2222-22-2-22-2-2222-2-222-2-222-2-2-2-22222-2-222-2-2-2-2222i−2i−2i2i002i−2i00000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ502-2-2222-22-2-22-2-2222-2-222-2-222-2-2-2-22222-2-222-2-2-2-222−2i2i2i−2i00−2i2i000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ512-2-222-222-2-2-222-222-2-222-2-222-2-2-2-222-2-222-2-22222-2-22i−2i−2i2i00−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ522-2-222-222-2-2-222-222-2-222-2-222-2-2-2-222-2-222-2-22222-2-2−2i2i2i−2i002i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ532-2-22-12-2-111-111-122-2-222-2-2-1-11111-1-122-2-2-1-11111-1-12i−2i−2i2i002i−2i00000000i−i−ii−iii−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ542-2-22-12-2-111-111-122-2-222-2-2-1-11111-1-122-2-2-1-11111-1-12i−2i−2i2i002i−2i00000000i−i−ii−iii−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ552-2-22-12-2-111-111-122-2-222-2-2-1-11111-1-122-2-2-1-11111-1-1−2i2i2i−2i00−2i2i00000000−iii−ii−i−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ562-2-22-12-2-111-111-122-2-222-2-2-1-11111-1-122-2-2-1-11111-1-1−2i2i2i−2i00−2i2i00000000−iii−ii−i−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ572-2-22-1-22-1111-1-1122-2-222-2-2-1-11111-1-1-2-22211-1-1-1-1112i−2i−2i2i00−2i2i00000000−iii−i−iii−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ582-2-22-1-22-1111-1-1122-2-222-2-2-1-11111-1-1-2-22211-1-1-1-1112i−2i−2i2i00−2i2i00000000−iii−i−iii−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ592-2-22-1-22-1111-1-1122-2-222-2-2-1-11111-1-1-2-22211-1-1-1-111−2i2i2i−2i002i−2i00000000i−i−iii−i−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ602-2-22-1-22-1111-1-1122-2-222-2-2-1-11111-1-1-2-22211-1-1-1-111−2i2i2i−2i002i−2i00000000i−i−iii−i−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ61444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-2000044000000000000000000000000000000000011-2-211-2-2000000
χ62444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-20000-4-40000000000000000000000000000000000-1-122-1-122000000
χ6344444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-210000440000000000000000000000000000000000-2-211-2-211000000
χ6444444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-210000-4-4000000000000000000000000000000000022-1-122-1-1000000
χ6544444-4-4444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-1200004-4000000000000000000000000000000000011-2-2-1-122000000
χ6644444-4-4444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-120000-440000000000000000000000000000000000-1-12211-2-2000000
χ6744444-4-4444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-100004-40000000000000000000000000000000000-2-21122-1-1000000
χ6844444-4-4444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-10000-44000000000000000000000000000000000022-1-1-2-211000000
χ694-4-4444-44-4-44-4-441-2-121-2-121-2-12-121-21-2-121-2-12-121-200000000000000000000000000000000000000003i−3i003i−3i00000000
χ704-4-4444-44-4-44-4-441-2-121-2-121-2-12-121-21-2-121-2-12-121-20000000000000000000000000000000000000000−3i3i00−3i3i00000000
χ714-4-4444-44-4-44-4-44-212-1-212-1-212-12-1-21-212-1-212-12-1-210000000000000000000000000000000000000000003i−3i003i−3i000000
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χ734-4-444-444-4-4-444-41-2-121-2-121-2-12-121-2-121-2-121-21-2-1200000000000000000000000000000000000000003i−3i00−3i3i00000000
χ744-4-444-444-4-4-444-41-2-121-2-121-2-12-121-2-121-2-121-21-2-120000000000000000000000000000000000000000−3i3i003i−3i00000000
χ754-4-444-444-4-4-444-4-212-1-212-1-212-12-1-212-1-212-1-21-212-10000000000000000000000000000000000000000003i−3i00−3i3i000000
χ764-4-444-444-4-4-444-4-212-1-212-1-212-12-1-212-1-212-1-21-212-1000000000000000000000000000000000000000000−3i3i003i−3i000000
χ778888-488-4-4-4-4-4-4-42-42-42-42-4-12-12-12-122-42-4-12-12-12-12000000000000000000000000000000000000000000000000000000
χ788888-488-4-4-4-4-4-4-4-42-42-42-422-12-12-12-1-42-422-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-444442-42-42-42-4-12-12-12-12-24-241-21-21-21-2000000000000000000000000000000000000000000000000000000
χ808888-4-8-8-4-4-44444-42-42-42-422-12-12-12-14-24-2-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-8800-88-800002-42-4-24-242-42-4-24-24000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8800-88-80000-42-424-24-2-42-424-24-2000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4004-444343−43−432-42-4-24-24-12-121-21-200003−233−23−323−323000000000000000000000000000000000000000000000000000000
χ8488-8-8-4004-444343−43−43-42-424-24-22-12-1-21-210000−233−23323−323−3000000000000000000000000000000000000000000000000000000
χ8588-8-8-4004-44−43−4343432-42-4-24-24-12-121-21-20000−323−3233−233−23000000000000000000000000000000000000000000000000000000
χ8688-8-8-4004-44−43−434343-42-424-24-22-12-1-21-21000023−323−3−233−233000000000000000000000000000000000000000000000000000000
χ878-88-8800-8-8800002-4-24-242-42-4-242-4-24000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8800-8-880000-424-24-2-42-424-2-424-2000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-40044-443−4343−432-4-24-242-4-121-2-121-200003−23−3233−23−323000000000000000000000000000000000000000000000000000000
χ908-88-8-40044-443−4343−43-424-24-2-422-1-212-1-210000−23323−3−23323−3000000000000000000000000000000000000000000000000000000
χ918-88-8-40044-4−4343−43432-4-24-242-4-121-2-121-20000−3233−23−3233−23000000000000000000000000000000000000000000000000000000
χ928-88-8-40044-4−4343−4343-424-24-2-422-1-212-1-21000023−3−23323−3−233000000000000000000000000000000000000000000000000000000
χ938-8-88-48-8-444-444-42-4-242-4-24-121-21-2-122-4-24-121-21-2-12000000000000000000000000000000000000000000000000000000
χ948-8-88-48-8-444-444-4-424-2-424-22-1-21-212-1-424-22-1-21-212-1000000000000000000000000000000000000000000000000000000
χ958-8-88-4-88-4444-4-442-4-242-4-24-121-21-2-12-242-41-2-12-121-2000000000000000000000000000000000000000000000000000000
χ968-8-88-4-88-4444-4-44-424-2-424-22-1-21-212-14-2-42-212-12-1-21000000000000000000000000000000000000000000000000000000

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