Finite Group Databasebeta

← Group #13166374

Character table — Group #13166374

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991212181818181818181818181818181818181818181818181818181818181818181818182424242424242424108108108108108108
order124423466612121212336612121212336666666612121212121212121212224424244444444466661212121212121212121212121212121212121212666612121212248888
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
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1iiii−i−i−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−i−i−iiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−i−iii
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−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−i−i−iiiii-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
χ911-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−ii−i
χ1011-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−ii−ii
χ1111-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11−ii−ii
χ1211-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11i−ii−i
χ1311-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11
χ1411-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1
χ1511-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1
χ1611-1-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11
χ1722222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122220022-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000
χ1922222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-22i2i2i2i−2i−2i−2i−2i11111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ2022222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2−2i−2i−2i−2i2i2i2i2i11111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ212222-22-2-2-22-2-2222222222222-2-2-2-2-2-222-2-2-2-2-2-22222222200-2-20000000022-2-2-2-222000000000000000000000000000000
χ222222-22-2-2-22-2-2222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2002200000000-2-22222-2-2000000000000000000000000000000
χ232222-2-1-211-111-1-122222222-1-1-2-21111-1-1-2-21111-1-1-1-1222200-2-200000000-1-11111-1-133−3−333−3−333−3−333−3−300000000000000
χ242222-2-1-211-111-1-122222222-1-1-2-21111-1-1-2-21111-1-1-1-1222200-2-200000000-1-11111-1-1−3−333−3−333−3−333−3−33300000000000000
χ252222-2-1-211-111-1-122222222-1-1-2-21111-1-1-2-21111-1-1-1-1-2-2-2-200220000000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000
χ262222-2-1-211-111-1-122222222-1-1-2-21111-1-1-2-21111-1-1-1-1-2-2-2-200220000000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000
χ2722-2-222-2222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2002-2000000002222-2-2-2-2000000000000000000000000000000
χ2822-2-222-2222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2200000000-2-2-2-22222000000000000000000000000000000
χ2922-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-2002-200000000-1-1-1-11111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000
χ3022-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-2002-200000000-1-1-1-11111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000
χ3122-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-22200-22000000001111-1-1-1-133−3−3−3−333−3−33333−3−300000000000000
χ3222-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-22200-22000000001111-1-1-1-1−3−33333−3−333−3−3−3−33300000000000000
χ3322-2-2-2-1211-1-1-1112222-2-2-2-2-1-1-2-21111-1-122-1-1-1-1111122-2-200-222i2i−2i−2i2i2i−2i−2i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii00000000000000
χ3422-2-2-2-1211-1-1-1112222-2-2-2-2-1-1-2-21111-1-122-1-1-1-1111122-2-200-22−2i−2i2i2i−2i−2i2i2i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i00000000000000
χ3522-2-2-2-1211-1-1-1112222-2-2-2-2-1-1-2-21111-1-122-1-1-1-11111-2-222002-222-2-2-2-22211-1-111-1-1-1-1-1-111111111-1-1-1-100000000000000
χ3622-2-2-2-1211-1-1-1112222-2-2-2-2-1-1-2-21111-1-122-1-1-1-11111-2-222002-2-2-22222-2-211-1-111-1-11111-1-1-1-1-1-1-1-1111100000000000000
χ372-22i−2i02000-2002i−2i22-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i2-22i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i2-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ382-22i−2i02000-2002i−2i22-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i2-22i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i2-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ392-22i−2i02000-2002i−2i22-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i-22−2i2i00001−i−1+i−1−i1+i−1+i1−i1+i−1−i-220000−2i2i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000
χ402-22i−2i02000-2002i−2i22-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i-22−2i2i0000−1+i1−i1+i−1−i1−i−1+i−1−i1+i-220000−2i2i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000000000
χ412-22i−2i0-10−i3i313−3−ii22-2-22i2i−2i−2i-1-100−i3−i3i3i3110033−3−3−i−iii2-22i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i-11−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000000000
χ422-22i−2i0-10−i3i313−3−ii22-2-22i2i−2i−2i-1-100−i3−i3i3i3110033−3−3−i−iii2-22i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i-11−i3i33−3−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000000000
χ432-22i−2i0-10−i3i313−3−ii22-2-22i2i−2i−2i-1-100−i3−i3i3i3110033−3−3−i−iii-22−2i2i00001−i−1+i−1−i1+i−1+i1−i1+i−1−i1-1i3−i3−33i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000000000000
χ442-22i−2i0-10−i3i313−3−ii22-2-22i2i−2i−2i-1-100−i3−i3i3i3110033−3−3−i−iii-22−2i2i0000−1+i1−i1+i−1−i1−i−1+i−1−i1+i1-1i3−i3−33i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000000000000
χ452-22i−2i0-10i3−i31−33−ii22-2-22i2i−2i−2i-1-100i3i3−i3−i31100−3−333−i−iii2-22i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i-11i3−i3−33−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000000000
χ462-22i−2i0-10i3−i31−33−ii22-2-22i2i−2i−2i-1-100i3i3−i3−i31100−3−333−i−iii2-22i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i-11i3−i3−33−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000000000
χ472-22i−2i0-10i3−i31−33−ii22-2-22i2i−2i−2i-1-100i3i3−i3−i31100−3−333−i−iii-22−2i2i00001−i−1+i−1−i1+i−1+i1−i1+i−1−i1-1−i3i33−3i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000000000
χ482-22i−2i0-10i3−i31−33−ii22-2-22i2i−2i−2i-1-100i3i3−i3−i31100−3−333−i−iii-22−2i2i0000−1+i1−i1+i−1−i1−i−1+i−1−i1+i1-1−i3i33−3i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000000000
χ492-2−2i2i02000-200−2i2i22-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i2-2−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i2-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ502-2−2i2i02000-200−2i2i22-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i2-2−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i2-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ512-2−2i2i02000-200−2i2i22-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i-222i−2i00001+i−1−i−1+i1−i−1−i1+i1−i−1+i-2200002i−2i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000000000
χ522-2−2i2i02000-200−2i2i22-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i-222i−2i0000−1−i1+i1−i−1+i1+i−1−i−1+i1−i-2200002i−2i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000000000
χ532-2−2i2i0-10−i3i31−33i−i22-2-2−2i−2i2i2i-1-100−i3−i3i3i31100−3−333ii−i−i2-2−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i-11−i3i3−33i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000000000
χ542-2−2i2i0-10−i3i31−33i−i22-2-2−2i−2i2i2i-1-100−i3−i3i3i31100−3−333ii−i−i2-2−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i-11−i3i3−33i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000000000
χ552-2−2i2i0-10−i3i31−33i−i22-2-2−2i−2i2i2i-1-100−i3−i3i3i31100−3−333ii−i−i-222i−2i00001+i−1−i−1+i1−i−1−i1+i1−i−1+i1-1i3−i33−3−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000000000
χ562-2−2i2i0-10−i3i31−33i−i22-2-2−2i−2i2i2i-1-100−i3−i3i3i31100−3−333ii−i−i-222i−2i0000−1−i1+i1−i−1+i1+i−1−i−1+i1−i1-1i3−i33−3−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000000000
χ572-2−2i2i0-10i3−i313−3i−i22-2-2−2i−2i2i2i-1-100i3i3−i3−i3110033−3−3ii−i−i2-2−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i-11i3−i33−3i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000000000000
χ582-2−2i2i0-10i3−i313−3i−i22-2-2−2i−2i2i2i-1-100i3i3−i3−i3110033−3−3ii−i−i2-2−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i-11i3−i33−3i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000000000000
χ592-2−2i2i0-10i3−i313−3i−i22-2-2−2i−2i2i2i-1-100i3i3−i3−i3110033−3−3ii−i−i-222i−2i00001+i−1−i−1+i1−i−1−i1+i1−i−1+i1-1−i3i3−33−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000000000
χ602-2−2i2i0-10i3−i313−3i−i22-2-2−2i−2i2i2i-1-100i3i3−i3−i3110033−3−3ii−i−i-222i−2i0000−1−i1+i1−i−1+i1+i−1−i−1+i1−i1-1−i3i3−33−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000000000
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
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χ7144-4-444-4444-4-4-4-4-21-212-12-1-21-21-21-21-212-12-12-12-12-10000000000000000000000000000000000000000003-300-33000000
χ7244-4-444-4444-4-4-4-4-21-212-12-1-21-21-21-21-212-12-12-12-12-1000000000000000000000000000000000000000000-33003-3000000
χ7344-4-4-444-4-4444-4-41-21-2-12-121-2-12-12-121-21-21-21-2-12-1200004-4000000000000000000000000000000000011-2-2-1-122000000
χ7444-4-4-444-4-4444-4-41-21-2-12-121-2-12-12-121-21-21-21-2-12-120000-440000000000000000000000000000000000-1-12211-2-2000000
χ7544-4-4-444-4-4444-4-4-21-212-12-1-212-12-12-1-21-21-21-212-12-100004-40000000000000000000000000000000000-2-21122-1-1000000
χ7644-4-4-444-4-4444-4-4-21-212-12-1-212-12-12-1-21-21-21-212-12-10000-44000000000000000000000000000000000022-1-1-2-211000000
χ7788888-48-4-4-4-4-4-4-42-42-42-42-4-122-4-12-12-122-4-12-12-12-12000000000000000000000000000000000000000000000000000000
χ7888888-48-4-4-4-4-4-4-4-42-42-42-422-1-422-12-12-1-422-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-8-4-844-444-4-42-42-42-42-4-12-241-21-2-12-241-21-2-12-12000000000000000000000000000000000000000000000000000000
χ808888-8-4-844-444-4-4-42-42-42-422-14-2-21-212-14-2-21-212-12-1000000000000000000000000000000000000000000000000000000
χ8188-8-88-4-8-4-4-444442-42-4-24-24-122-4-12-12-12-241-21-21-21-2000000000000000000000000000000000000000000000000000000
χ8288-8-88-4-8-4-4-44444-42-424-24-22-1-422-12-12-14-2-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8388-8-8-8-4844-4-4-4442-42-4-24-24-12-241-21-2-122-4-12-121-21-2000000000000000000000000000000000000000000000000000000
χ8488-8-8-8-4844-4-4-444-42-424-24-22-14-2-21-212-1-422-12-1-21-21000000000000000000000000000000000000000000000000000000
χ858-88i−8i08000-8008i−8i2-4-242i−4i−2i4i2-4000000-240000002i−4i−2i4i000000000000000000000000000000000000000000000000000000
χ868-88i−8i08000-8008i−8i-424-2−4i2i4i−2i-420000004-2000000−4i2i4i−2i000000000000000000000000000000000000000000000000000000
χ878-88i−8i0-40−4i34i3443−43−4i4i2-4-242i−4i−2i4i-1200−i32i3i3−2i31-2003−23−323−i2ii−2i000000000000000000000000000000000000000000000000000000
χ888-88i−8i0-40−4i34i3443−43−4i4i-424-2−4i2i4i−2i2-1002i3−i3−2i3i3-2100−23323−32i−i−2ii000000000000000000000000000000000000000000000000000000
χ898-88i−8i0-404i3−4i34−4343−4i4i2-4-242i−4i−2i4i-1200i3−2i3−i32i31-200−3233−23−i2ii−2i000000000000000000000000000000000000000000000000000000
χ908-88i−8i0-404i3−4i34−4343−4i4i-424-2−4i2i4i−2i2-100−2i3i32i3−i3-210023−3−2332i−i−2ii000000000000000000000000000000000000000000000000000000
χ918-8−8i8i08000-800−8i8i2-4-24−2i4i2i−4i2-4000000-24000000−2i4i2i−4i000000000000000000000000000000000000000000000000000000
χ928-8−8i8i08000-800−8i8i-424-24i−2i−4i2i-420000004-20000004i−2i−4i2i000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0-40−4i34i34−43434i−4i2-4-24−2i4i2i−4i-1200−i32i3i3−2i31-200−3233−23i−2i−i2i000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-40−4i34i34−43434i−4i-424-24i−2i−4i2i2-1002i3−i3−2i3i3-210023−3−233−2ii2i−i000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-404i3−4i3443−434i−4i2-4-24−2i4i2i−4i-1200i3−2i3−i32i31-2003−23−323i−2i−i2i000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-404i3−4i3443−434i−4i-424-24i−2i−4i2i2-100−2i3i32i3−i3-2100−23323−3−2ii2i−i000000000000000000000000000000000000000000000000000000

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