Finite Group Databasebeta

← Group #13167389

Character table — Group #13167389

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991818181818181818181818181818181818181818181818181818181818181818181836363636363636367272727272727272
order12442346661212121233661212121233666666661212121212121212121222442466668888888812121212242424242424242424242424242424242244888866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1
χ61111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111
χ71111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111
χ81111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-1
χ911-1-111-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-11i−ii−i1-1-11i−ii−i
χ1011-1-111-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1−ii−ii-111-1−ii−ii
χ1111-1-111-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-11−ii−ii1-1-11−ii−ii
χ1211-1-111-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1i−ii−i-111-1i−ii−i
χ1311-1-1-111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1i−i−ii11-1-1i−i−ii
χ1411-1-1-111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i-1-111−iii−i
χ1511-1-1-111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−iii−i11-1-1−iii−i
χ1611-1-1-111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−ii-1-111i−i−ii
χ17222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000
χ1822222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1922222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ2022222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000111133−3−333−3−333−3−333−3−30000000000000000
χ2122222-12-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000001111−3−333−3−333−3−333−3−3330000000000000000
χ222222-22-2-2-2222-2-22222222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-222-2-2220000000022-2-200000000000000000000000000000000
χ232222-2-1-211-1-1-11122222222-1-1-2-21111-1-1-2-2-1-1-1-111112222-2-2-1-1112222-2-2-2-211-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ242222-2-1-211-1-1-11122222222-1-1-2-21111-1-1-2-2-1-1-1-111112222-2-2-1-111-2-2-2-2222211-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ252222-2-1-211-1-1-11122222222-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-22211-1-100000000-1-11133−3−333−3−3−3−333−3−3330000000000000000
χ262222-2-1-211-1-1-11122222222-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-22211-1-100000000-1-111−3−333−3−33333−3−333−3−30000000000000000
χ2722-2-222-2222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-2-2-2-200000000222200000000000000000000000000000000
χ2822-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-22-2-1-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ2922-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-22-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ3022-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-222-22111100000000-1-1-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3122-2-22-1-2-1-1-111112222-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-222-22111100000000-1-1-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3222-2-2-222-2-22-2-2222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2222-2-2-22200000000-2-22200000000000000000000000000000000
χ3322-2-2-2-1211-111-1-12222-2-2-2-2-1-1-2-21111-1-1221111-1-1-1-122-2-2-22-1-1112i2i−2i−2i−2i−2i2i2i-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ3422-2-2-2-1211-111-1-12222-2-2-2-2-1-1-2-21111-1-1221111-1-1-1-122-2-2-22-1-111−2i−2i2i2i2i2i−2i−2i-1-111iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ3522-2-2-2-1211-111-1-12222-2-2-2-2-1-1-2-21111-1-1221111-1-1-1-1-2-2222-211-1-10000000011-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622-2-2-2-1211-111-1-12222-2-2-2-2-1-1-2-21111-1-1221111-1-1-1-1-2-2222-211-1-10000000011-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372-22i−2i02000-22i−2i0022-2-22i−2i2i−2i22000000-2-2002i2i−2i−2i00002-22i−2i002-20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ382-22i−2i02000-22i−2i0022-2-22i−2i2i−2i22000000-2-2002i2i−2i−2i00002-22i−2i002-2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ392-22i−2i02000-22i−2i0022-2-22i−2i2i−2i22000000-2-2002i2i−2i−2i0000-22−2i2i00-2200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ402-22i−2i02000-22i−2i0022-2-22i−2i2i−2i22000000-2-2002i2i−2i−2i0000-22−2i2i00-22002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ412-22i−2i0-10−i3i31−ii3−322-2-22i−2i2i−2i-1-100−i3−i3i3i31100−i−iii33−3−32-22i−2i00-11−i3i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ422-22i−2i0-10−i3i31−ii3−322-2-22i−2i2i−2i-1-100−i3−i3i3i31100−i−iii33−3−32-22i−2i00-11−i3i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−iiζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ432-22i−2i0-10−i3i31−ii3−322-2-22i−2i2i−2i-1-100−i3−i3i3i31100−i−iii33−3−3-22−2i2i001-1i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−33i−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ442-22i−2i0-10−i3i31−ii3−322-2-22i−2i2i−2i-1-100−i3−i3i3i31100−i−iii33−3−3-22−2i2i001-1i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−33i−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ452-22i−2i0-10i3−i31−ii−3322-2-22i−2i2i−2i-1-100i3i3−i3−i31100−i−iii−3−3332-22i−2i00-11i3−i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−iiζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ462-22i−2i0-10i3−i31−ii−3322-2-22i−2i2i−2i-1-100i3i3−i3−i31100−i−iii−3−3332-22i−2i00-11i3−i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ472-22i−2i0-10i3−i31−ii−3322-2-22i−2i2i−2i-1-100i3i3−i3−i31100−i−iii−3−333-22−2i2i001-1−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300003−3i−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ482-22i−2i0-10i3−i31−ii−3322-2-22i−2i2i−2i-1-100i3i3−i3−i31100−i−iii−3−333-22−2i2i001-1−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300003−3i−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ492-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i22000000-2-200−2i−2i2i2i00002-2−2i2i002-2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ502-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i22000000-2-200−2i−2i2i2i00002-2−2i2i002-20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ512-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i22000000-2-200−2i−2i2i2i0000-222i−2i00-22002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ522-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i22000000-2-200−2i−2i2i2i0000-222i−2i00-2200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ532-2−2i2i0-10−i3i31i−i−3322-2-2−2i2i−2i2i-1-100−i3−i3i3i31100ii−i−i−3−3332-2−2i2i00-11−i3i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ542-2−2i2i0-10−i3i31i−i−3322-2-2−2i2i−2i2i-1-100−i3−i3i3i31100ii−i−i−3−3332-2−2i2i00-11−i3i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ552-2−2i2i0-10−i3i31i−i−3322-2-2−2i2i−2i2i-1-100−i3−i3i3i31100ii−i−i−3−333-222i−2i001-1i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300003−3−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ562-2−2i2i0-10−i3i31i−i−3322-2-2−2i2i−2i2i-1-100−i3−i3i3i31100ii−i−i−3−333-222i−2i001-1i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300003−3−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ572-2−2i2i0-10i3−i31i−i3−322-2-2−2i2i−2i2i-1-100i3i3−i3−i31100ii−i−i33−3−32-2−2i2i00-11i3−i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ582-2−2i2i0-10i3−i31i−i3−322-2-2−2i2i−2i2i-1-100i3i3−i3−i31100ii−i−i33−3−32-2−2i2i00-11i3−i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ592-2−2i2i0-10i3−i31i−i3−322-2-2−2i2i−2i2i-1-100i3i3−i3−i31100ii−i−i33−3−3-222i−2i001-1−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−33−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ602-2−2i2i0-10i3−i31i−i3−322-2-2−2i2i−2i2i-1-100i3i3−i3−i31100ii−i−i33−3−3-222i−2i001-1−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−33−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ61444444444444441-21-2-2-2111-21-21-21-21-21-21-21-21-21-200000000000000000000000000000000000000000022220000-1-1-1-1
χ62444444444444441-21-2-2-2111-21-21-21-21-21-21-21-21-21-2000000000000000000000000000000000000000000-2-2-2-200001111
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χ674444-44-4-4-4444-4-4-21-2111-2-2-212-12-12-1-212-1-21-212-12-1000000000000000000000000000000000000002-22-20000-11-110000
χ684444-44-4-4-4444-4-4-21-2111-2-2-212-12-12-1-212-1-21-212-12-100000000000000000000000000000000000000-22-2200001-11-10000
χ6944-4-444-4444-4-4-4-41-21-222-1-11-21-21-21-21-2-12-12-12-12-120000000000000000000000000000000000000000002i−2i2i−2i0000−ii−ii
χ7044-4-444-4444-4-4-4-41-21-222-1-11-21-21-21-21-2-12-12-12-12-12000000000000000000000000000000000000000000−2i2i−2i2i0000i−ii−i
χ7144-4-444-4444-4-4-4-4-21-21-1-122-21-21-21-21-212-12-12-12-12-1000000000000000000000000000000000000002-2-220000-111-10000
χ7244-4-444-4444-4-4-4-4-21-21-1-122-21-21-21-21-212-12-12-12-12-100000000000000000000000000000000000000-222-200001-1-110000
χ7344-4-4-444-4-44-4-4441-21-222-1-11-2-12-12-121-21-2-12-121-21-20000000000000000000000000000000000000000002i−2i−2i2i0000−iii−i
χ7444-4-4-444-4-44-4-4441-21-222-1-11-2-12-12-121-21-2-12-121-21-2000000000000000000000000000000000000000000−2i2i2i−2i0000i−i−ii
χ7544-4-4-444-4-44-4-444-21-21-1-122-212-12-12-1-21-212-12-1-21-210000000000000000000000000000000000000022-2-20000-1-1110000
χ7644-4-4-444-4-44-4-444-21-21-1-122-212-12-12-1-21-212-12-1-21-2100000000000000000000000000000000000000-2-222000011-1-10000
χ7788888-48-4-4-4-4-4-4-42-42-4-4-422-122-4-12-12-122-4-12-12-12-12000000000000000000000000000000000000000000000000000000
χ7888888-48-4-4-4-4-4-4-4-42-4222-4-42-1-422-12-12-1-422-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-8-4-844-4-4-4442-42-4-4-422-12-241-21-2-12-24-12-121-21-2000000000000000000000000000000000000000000000000000000
χ808888-8-4-844-4-4-444-42-4222-4-42-14-2-21-212-14-22-12-1-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-88-4-8-4-4-444442-42-444-2-2-122-4-12-12-12-241-21-21-21-2000000000000000000000000000000000000000000000000000000
χ8288-8-88-4-8-4-4-44444-42-42-2-2442-1-422-12-12-14-2-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8388-8-8-8-4844-444-4-42-42-444-2-2-12-241-21-2-122-41-21-2-12-12000000000000000000000000000000000000000000000000000000
χ8488-8-8-8-4844-444-4-4-42-42-2-2442-14-2-21-212-1-42-21-212-12-1000000000000000000000000000000000000000000000000000000
χ858-88i−8i08000-88i−8i002-4-24−4i4i2i−2i2-4000000-24002i−4i−2i4i0000000000000000000000000000000000000000000000000000000000
χ868-88i−8i08000-88i−8i00-424-22i−2i−4i4i-420000004-200−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000
χ878-88i−8i0-40−4i34i34−4i4i43−432-4-24−4i4i2i−2i-1200−i32i3i3−2i31-200−i2ii−2i3−23−323000000000000000000000000000000000000000000000000000000
χ888-88i−8i0-40−4i34i34−4i4i43−43-424-22i−2i−4i4i2-1002i3−i3−2i3i3-21002i−i−2ii−23323−3000000000000000000000000000000000000000000000000000000
χ898-88i−8i0-404i3−4i34−4i4i−43432-4-24−4i4i2i−2i-1200i3−2i3−i32i31-200−i2ii−2i−3233−23000000000000000000000000000000000000000000000000000000
χ908-88i−8i0-404i3−4i34−4i4i−4343-424-22i−2i−4i4i2-100−2i3i32i3−i3-21002i−i−2ii23−3−233000000000000000000000000000000000000000000000000000000
χ918-8−8i8i08000-8−8i8i002-4-244i−4i−2i2i2-4000000-2400−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000
χ928-8−8i8i08000-8−8i8i00-424-2−2i2i4i−4i-420000004-2004i−2i−4i2i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0-40−4i34i344i−4i−43432-4-244i−4i−2i2i-1200−i32i3i3−2i31-200i−2i−i2i−3233−23000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-40−4i34i344i−4i−4343-424-2−2i2i4i−4i2-1002i3−i3−2i3i3-2100−2ii2i−i23−3−233000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-404i3−4i344i−4i43−432-4-244i−4i−2i2i-1200i3−2i3−i32i31-200i−2i−i2i3−23−323000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-404i3−4i344i−4i43−43-424-2−2i2i4i−4i2-100−2i3i32i3−i3-2100−2ii2i−i−23323−3000000000000000000000000000000000000000000000000000000

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