Finite Group Databasebeta

← Group #13180891

Character table — Group #13180891

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222444444444466666688888888889912121212121212121616161616161616161616161818181818242424242424242424243636363636363636484848484848484854547272
order122336633366666662244443333666666446612121212121233666666666622444666612121212121266121212121212666612121212221212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1111-11111111111-1-11-111111-11111111111111-11-1-111-1-11111-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111-1111-111111111111-1-1-111111-11111111111111-11-11-1-1-11111-1-111-11-11-1-1-1-1-1-111-1-111-1-1-1-1
χ411111111111111111-1-111-1-1111111111111-1-11111-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111−1−i32−1+i3211111−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32
χ611111111−1−i32−1+i3211111−1−i32−1+i321-1111-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-111111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11-1-1−1−i32−1+i321+i321−i3211−1−i32−1+i321+i321−i321-11-11+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-11+i321−i32
χ711111111−1−i32−1+i3211111−1−i32−1+i32-1111-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-111111-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11-11+i321−i32−1−i32−1+i32111+i321−i32−1−i32−1+i32-11-111+i321+i321−i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321−i32
χ811111111−1−i32−1+i3211111−1−i32−1+i32-1-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-111+i321−i321+i321−i32111+i321−i321+i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i32
χ911111111−1+i32−1−i3211111−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32
χ1011111111−1+i32−1−i3211111−1+i32−1−i321-1111-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-111111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11-1-1−1+i32−1−i321−i321+i3211−1+i32−1−i321−i321+i321-11-11−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-1-11−i321+i32
χ1111111111−1+i32−1−i3211111−1+i32−1−i32-1111-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-111111-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11-11−i321+i32−1+i32−1−i32111−i321+i32−1+i32−1−i32-11-111−i321−i321+i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321+i32
χ1211111111−1+i32−1−i3211111−1+i32−1−i32-1-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-111−i321+i321−i321+i32111−i321+i321−i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i32
χ1311-11111111-1-1-1-1111111-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111
χ1411-11111111-1-1-1-11111-11-1-111111-1-11111111-111-1-1-1111-1-1-1-11-1-11-1-1-111-1-111-1-11-1-1-111-111-1111111-1-1-1-111-11-1-1
χ1511-11111111-1-1-1-1111-111-11-11111-1-1111111-1111-1-11-111-1-1-1-11-1-11-1-11-1-11-1-1-1111-111-1-11-1-111111-1-11111-1-1-11-1-1
χ1611-11111111-1-1-1-1111-1-11-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11-1-111-1-11-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-111
χ1711-111111−1−i32−1+i32-1-1-1-11−1−i32−1+i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-1111−1−i32−1+i32−1−i32−1+i321-11+i321−i321+i321−i32-1-1111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321-1−1−i32−1+i32
χ1811-111111−1−i32−1+i32-1-1-1-11−1−i32−1+i321-11-1-11−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32111-111-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1−1−i32−1+i321+i321−i321-11+i321−i32−1−i32−1+i32-111-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-111+i321−i32
χ1911-111111−1−i32−1+i32-1-1-1-11−1−i32−1+i32-111-11-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1111-1-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11-11+i321−i32−1−i32−1+i321-1−1−i32−1+i321+i321−i321-1-11−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-111+i321−i32
χ2011-111111−1−i32−1+i32-1-1-1-11−1−i32−1+i32-1-11-111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-111+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32
χ2111-111111−1+i32−1−i32-1-1-1-11−1+i32−1−i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-1111−1+i32−1−i32−1+i32−1−i321-11−i321+i321−i321+i32-1-1111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321-1−1+i32−1−i32
χ2211-111111−1+i32−1−i32-1-1-1-11−1+i32−1−i321-11-1-11−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32111-111-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1−1+i32−1−i321−i321+i321-11−i321+i32−1+i32−1−i32-111-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-111−i321+i32
χ2311-111111−1+i32−1−i32-1-1-1-11−1+i32−1−i32-111-11-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1111-1-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11-11−i321+i32−1+i32−1−i321-1−1+i32−1−i321−i321+i321-1-11−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-111−i321+i32
χ2411-111111−1+i32−1−i32-1-1-1-11−1+i32−1−i32-1-11-111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-111−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32
χ252222-12-1-1222-1-1-1-1220222022-12-1222-12-1000-12-12-10-1-1-12-12-1-1-1-1-1-1-1020200022-1-100220-10-1000000-1-100-1-10000
χ262222-12-1-1222-1-1-1-1220-2220-22-12-1222-12-100012-12-101-1-12-12-1-1-1-1-1-1-10-20-2000-2-2-1-100-2-201010000001100110000
χ272222-12-1-1−1−i3−1+i32-1-1-1-1−1−i3−1+i3022202−1−i31+i32−1+i31−i32−1−i3−1+i3−1−i31+i32−1+i31−i32000-12-12-10-11+i321−i32−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i320202000−1−i3−1+i3-1-100−1−i3−1+i30-10-10000001+i321−i32001+i321−i320000
χ282222-12-1-1−1−i3−1+i32-1-1-1-1−1−i3−1+i30-2220-2−1−i31+i32−1+i31−i32−1−i3−1+i3−1−i31+i32−1+i31−i3200012-12-1011+i321−i32−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i320-20-20001+i31−i3-1-1001+i31−i30101000000−1−i32−1+i3200−1−i32−1+i320000
χ292222-12-1-1−1+i3−1−i32-1-1-1-1−1+i3−1−i3022202−1+i31−i32−1−i31+i32−1+i3−1−i3−1+i31−i32−1−i31+i32000-12-12-10-11−i321+i32−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i320202000−1+i3−1−i3-1-100−1+i3−1−i30-10-10000001−i321+i32001−i321+i320000
χ302222-12-1-1−1+i3−1−i32-1-1-1-1−1+i3−1−i30-2220-2−1+i31−i32−1−i31+i32−1+i3−1−i3−1+i31−i32−1−i31+i3200012-12-1011−i321+i32−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i320-20-20001−i31+i3-1-1001−i31+i30101000000−1+i32−1−i3200−1+i32−1−i320000
χ31222-12-12-122-12-1-1-122202220-12-1222-12-1200-10-12-12-10-1-1-12-12-1-1-1-1-1-1202002200-1-12200-10-100000-1-100-1-1000000
χ32222-12-12-122-12-1-1-122-2022-20-12-1222-12-120010-12-1210-1-1-12-12-1-1-1-1-1-1-20-200-2-200-1-1-2-20010100000110011000000
χ33222-12-12-1−1−i3−1+i3-12-1-1-1−1−i3−1+i32022201+i32−1−i31−i32−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i300-10-12-12-101+i321−i321+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i3220200−1−i3−1+i300-1-1−1−i3−1+i300-10-1000001+i321−i32001+i321−i32000000
χ34222-12-12-1−1−i3−1+i3-12-1-1-1−1−i3−1+i3-2022-201+i32−1−i31−i32−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i30010-12-12101+i321−i321+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i32-20-2001+i31−i300-1-11+i31−i30010100000−1−i32−1+i3200−1−i32−1+i32000000
χ35222-12-12-1−1+i3−1−i3-12-1-1-1−1+i3−1−i32022201−i32−1+i31+i32−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i300-10-12-12-101−i321+i321−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i3220200−1+i3−1−i300-1-1−1+i3−1−i300-10-1000001−i321+i32001−i321+i32000000
χ36222-12-12-1−1+i3−1−i3-12-1-1-1−1+i3−1−i3-2022-201−i32−1+i31+i32−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i30010-12-12101−i321+i321−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i32-20-2001−i31+i300-1-11−i31+i30010100000−1+i32−1−i3200−1+i32−1−i32000000
χ3722-22-12-1-122-2111-122022-20-22-12-1-2-22-12-1000-12-1-2101-1-1-21-21-111-1110-20200022-1100-2-2010-1000000-1-100110000
χ3822-22-12-1-122-2111-1220-22-2022-12-1-2-22-12-100012-1-210-1-1-1-21-21-111-111020-2000-2-2-1100220-1010000001100-1-10000
χ3922-22-12-1-1−1−i3−1+i3-2111-1−1−i3−1+i3022-20-2−1−i31+i32−1+i31−i321+i31−i3−1−i31+i32−1+i31−i32000-12-1-21011+i321−i321+i3−1−i321−i3−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i320-202000−1−i3−1+i3-11001+i31−i3010-10000001+i321−i3200−1−i32−1+i320000
χ4022-22-12-1-1−1−i3−1+i3-2111-1−1−i3−1+i30-22-202−1−i31+i32−1+i31−i321+i31−i3−1−i31+i32−1+i31−i3200012-1-210-11+i321−i321+i3−1−i321−i3−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32020-20001+i31−i3-1100−1−i3−1+i30-101000000−1−i32−1+i32001+i321−i320000
χ4122-22-12-1-1−1+i3−1−i3-2111-1−1+i3−1−i3022-20-2−1+i31−i32−1−i31+i321−i31+i3−1+i31−i32−1−i31+i32000-12-1-21011−i321+i321−i3−1+i321+i3−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i320-202000−1+i3−1−i3-11001−i31+i3010-10000001−i321+i3200−1+i32−1−i320000
χ4222-22-12-1-1−1+i3−1−i3-2111-1−1+i3−1−i30-22-202−1+i31−i32−1−i31+i321−i31+i3−1+i31−i32−1−i31+i3200012-1-210-11−i321+i321−i3−1+i321+i3−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32020-20001−i31+i3-1100−1+i3−1−i30-101000000−1+i32−1−i32001−i321+i320000
χ4322-2-12-12-1221-211-122202-2-20-12-12-2-2-12-1200-10-121-210-1-11-21-2-111-111-202002200-11-2-20010-100000-1-10011000000
χ4422-2-12-12-1221-211-122-202-220-12-12-2-2-12-120010-121-2-10-1-11-21-2-111-11120-200-2-200-112200-101000001100-1-1000000
χ4522-2-12-12-1−1−i3−1+i31-211-1−1−i3−1+i3202-2-201+i32−1−i31−i32−1+i31+i31−i31+i32−1−i31−i32−1+i300-10-121-2101+i321−i32−1−i321+i3−1+i321−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-20200−1−i3−1+i300-111+i31−i30010-1000001+i321−i3200−1−i32−1+i32000000
χ4622-2-12-12-1−1−i3−1+i31-211-1−1−i3−1+i3-202-2201+i32−1−i31−i32−1+i31+i31−i31+i32−1−i31−i32−1+i30010-121-2-101+i321−i32−1−i321+i3−1+i321−i31+i32−1−i32−1−i321−i32−1+i32−1+i3220-2001+i31−i300-11−1−i3−1+i300-10100000−1−i32−1+i32001+i321−i32000000
χ4722-2-12-12-1−1+i3−1−i31-211-1−1+i3−1−i3202-2-201−i32−1+i31+i32−1−i31−i31+i31−i32−1+i31+i32−1−i300-10-121-2101−i321+i32−1+i321−i3−1−i321+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-20200−1+i3−1−i300-111−i31+i30010-1000001−i321+i3200−1+i32−1−i32000000
χ4822-2-12-12-1−1+i3−1−i31-211-1−1+i3−1−i3-202-2201−i32−1+i31+i32−1−i31−i31+i31−i32−1+i31+i32−1−i30010-121-2-101−i321+i32−1+i321−i3−1−i321+i31−i32−1+i32−1+i321+i32−1−i32−1−i3220-2001−i31+i300-11−1+i3−1−i300-10100000−1+i32−1−i32001−i321+i32000000
χ493333333300333330033-1-13300000000003333-1-1-1-133000000000000-1-1-1-130000-1-10000-1-1-1-1000000000000-1-100
χ50333333330033333003-3-1-13-30000000000-3-33-3-1-1-1-13-3000000000000-11-11-30000-1-10000-11-110000000000001100
χ5133333333003333300-33-1-1-330000000000-3-3-33-1-1-1-1-330000000000001-11-1-30000-1-100001-11-10000000000001100
χ5233333333003333300-3-3-1-1-3-3000000000033-3-3-1-1-1-1-3-3000000000000111130000-1-100001111000000000000-1-100
χ5333-33333300-3-3-3-330033-11-3-30000000000-3-333-1-111-3-300000000000011-1-130000-11000011-1-1000000000000-1100
χ5433-33333300-3-3-3-33003-3-11-330000000000333-3-1-111-330000000000001-1-11-30000-1100001-1-110000000000001-100
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χ6044-4-2-2-2-214422-1-1144004-400-2-2-2-2-4-4-2-2-2-20000-2-222001122221-1-11-1-10000000001-1000000000000000000000000
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χ6244-4-2-2-2-21−2+2i3−2−2i322-1-11−2+2i3−2−2i3004-4001−i31−i31+i31+i32−2i32+2i31−i31−i31+i31+i30000-2-22200−1+i32−1−i32−1+i3−1+i3−1−i3−1−i3−1+i321−i321−i32−1−i321+i321+i320000000001-1000000000000000000000000
χ634-4044-4-44-2-20000-422000000-2-2-2-20022224i−4i00000000-2-2000020020000000000000000000002i−2i2i−2i000000000000
χ644-4044-4-44-2-20000-422000000-2-2-2-2002222−4i4i00000000-2-200002002000000000000000000000−2i2i−2i2i000000000000
χ654-4044-4-441+i31−i30000-4−1−i3−1+i30000001+i31+i31−i31−i300−1−i3−1−i3−1+i3−1+i34i−4i000000001+i31−i30000−1−i300−1+i30000000000000000000002ζ11−2ζ112ζ7−2ζ7000000000000
χ664-4044-4-441+i31−i30000-4−1−i3−1+i30000001+i31+i31−i31−i300−1−i3−1−i3−1+i3−1+i3−4i4i000000001+i31−i30000−1−i300−1+i3000000000000000000000−2ζ112ζ11−2ζ72ζ7000000000000
χ674-4044-4-441−i31+i30000-4−1+i3−1−i30000001−i31−i31+i31+i300−1+i3−1+i3−1−i3−1−i34i−4i000000001−i31+i30000−1+i300−1−i30000000000000000000002ζ7−2ζ72ζ11−2ζ11000000000000
χ684-4044-4-441−i31+i30000-4−1+i3−1−i30000001−i31−i31+i31+i300−1+i3−1+i3−1−i3−1−i3−4i4i000000001−i31+i30000−1+i300−1−i3000000000000000000000−2ζ72ζ7−2ζ112ζ11000000000000
χ696666-36-3-3006-3-3-3-30006-2-2060000000000000-3-21-210-30000000000000-20-20000011000001010000000000000000
χ706666-36-3-3006-3-3-3-3000-6-2-20-600000000000003-21-21030000000000000202000001100000-10-10000000000000000
χ71666-36-36-300-36-3-3-30060-2-260000000000000-301-21-2-30000000000000-20-200000011000010100000000000000000
χ72666-36-36-300-36-3-3-300-60-2-2-60000000000000301-21-230000000000000202000000110000-10-100000000000000000
χ7366-66-36-3-300-6333-30006-220-60000000000000-3-212-103000000000000020-2000001-100000-1010000000000000000
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χ7566-6-36-36-3003-633-30060-22-60000000000000-301-2-123000000000000020-20000001-10000-10100000000000000000
χ7666-6-36-36-3003-633-300-60-2260000000000000301-2-12-30000000000000-2020000001-1000010-100000000000000000
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χ788-808-4-84-42+2i32−2i300004−2−2i3−2+2i30000002+2i3−1−i32−2i3−1+i300−2−2i31+i3−2+2i31−i30000000000−1−i3−1+i300001+i3001−i30000000000000000000000000000000000000
χ798-808-4-84-42−2i32+2i300004−2+2i3−2−2i30000002−2i3−1+i32+2i3−1−i300−2+2i31−i3−2−2i31+i30000000000−1+i3−1−i300001−i3001+i30000000000000000000000000000000000000
χ808-80-484-8-4-4-400004440000002-42-400-24-240000000000220000-200-20000000000000000000000000000000000000
χ818-80-484-8-42+2i32−2i300004−2−2i3−2+2i3000000−1−i32+2i3−1+i32−2i3001+i3−2−2i31−i3−2+2i30000000000−1−i3−1+i300001+i3001−i30000000000000000000000000000000000000
χ828-80-484-8-42−2i32+2i300004−2+2i3−2−2i3000000−1+i32−2i3−1−i32+2i3001−i3−2+2i31+i3−2−2i30000000000−1+i3−1−i300001−i3001+i30000000000000000000000000000000000000
χ838-80-4-4442-4-4006-6-244000000222200-2-2-2-20000000000-1-1000013-313-300000000000000000000000000000000000
χ848-80-4-4442-4-400-66-244000000222200-2-2-2-20000000000-1-100001-331-3300000000000000000000000000000000000
χ858-80-4-44422+2i32−2i3006-6-2−2−2i3−2+2i3000000−1−i3−1−i3−1+i3−1+i3001+i31+i31−i31−i300000000001+i321−i320000−1−i32−3−3i323+3i32−1+i32−3+3i323−3i3200000000000000000000000000000000000
χ868-80-4-44422+2i32−2i300-66-2−2−2i3−2+2i3000000−1−i3−1−i3−1+i3−1+i3001+i31+i31−i31−i300000000001+i321−i320000−1−i323+3i32−3−3i32−1+i323−3i32−3+3i3200000000000000000000000000000000000
χ878-80-4-44422−2i32+2i3006-6-2−2+2i3−2−2i3000000−1+i3−1+i3−1−i3−1−i3001−i31−i31+i31+i300000000001−i321+i320000−1+i32−3+3i323−3i32−1−i32−3−3i323+3i3200000000000000000000000000000000000
χ888-80-4-44422−2i32+2i300-66-2−2+2i3−2−2i3000000−1+i3−1+i3−1−i3−1−i3001−i31−i31+i31+i300000000001−i321+i320000−1+i323−3i32−3+3i32−1−i323+3i32−3−3i3200000000000000000000000000000000000
χ89121212-6-6-6-6300-6-63330000-4-40000000000000000222200000000000000000000000-1-1000000000000000000000000
χ901212-12-6-6-6-630066-3-330000-44000000000000000022-2-200000000000000000000000-11000000000000000000000000

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