Finite Group Databasebeta

← Group #13180883

Character table — Group #13180883

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222224444446666991212121218336666612121212121218181818272736363636544488888161616161616242424243636484848487244888881616161616162424242436364848484872
order12334663612121212444422121212124226646666121212124444221212121243633126636121212121212121266121212121236331266361212121212121212661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1
χ31111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-1
χ41111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11
χ51111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-1
χ61111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-111
χ71111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-11
χ81111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-1
χ9222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10
χ10222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110
χ11222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110
χ12222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10
χ1322-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-1000
χ1422-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-2000011000
χ1522-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-11000
χ1622-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-1000
χ172-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-200000
χ182-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-2200000
χ1944-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-21100000000000
χ2044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-100000000000
χ214-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-22000000000000000
χ224-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-22000000000000000
χ234-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i00000000000
χ244-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i00000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ271111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ281111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ291111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ301111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ311111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ321111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ33222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i3200−1+i3−1+i300001−i321−i320−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i3200−1−i3−1−i300001+i321+i320
χ34222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32001−i31−i30000−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32001+i31+i30000−1−i32−1−i320
χ35222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110−1+i3−1+i3−1+i31−i321−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200−1+i31−i300001−i32−1+i320−1−i3−1−i3−1−i31+i321+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200−1−i31+i300001+i32−1−i320
χ36222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10−1+i3−1+i3−1+i31−i321−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32001−i3−1+i30000−1+i321−i320−1−i3−1−i3−1−i31+i321+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32001+i3−1−i30000−1−i321+i320
χ3722-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-1000−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i300001−i321−i32000−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i300001+i321+i32000
χ3822-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-2000011000−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i31−i30000−1+i32−1+i32000−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i31+i30000−1−i32−1−i32000
χ3922-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-11000−1+i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i31−i300001−i32−1+i32000−1−i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i31+i300001+i32−1−i32000
χ4022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-1000−1+i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i321−i3−1+i30000−1+i321−i32000−1−i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i321+i3−1−i30000−1−i321+i32000
χ412-2220-2-22-2000000002-2000002-2220-2-22-2000000002-200000−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i300000000−1+i31−i300000−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i300000000−1−i31+i300000
χ422-2220-2-22-200000000-22000002-2220-2-22-200000000-2200000−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i3000000001−i3−1+i300000−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i3000000001+i3−1−i300000
χ4344-2-24-2-211-2-2110000000000044-2-24-2-211-2-21100000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000000
χ4444-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-100000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i3200000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i3200000000000
χ454-44-20-42-220000000000000004-44-20-42-22000000000000000−2+2i32−2i3−2+2i31−i302−2i3−1+i31−i3−1+i3000000000000000−2−2i32+2i3−2−2i31+i302+2i3−1−i31+i3−1−i3000000000000000
χ464-4-2402-4-220000000000000004-4-2402-4-22000000000000000−2+2i32−2i31−i3−2+2i30−1+i32−2i31−i3−1+i3000000000000000−2−2i32+2i31+i3−2−2i30−1−i32+2i31+i3−1−i3000000000000000
χ474-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i00000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i32003ζ7−3ζ700000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i32003ζ11−3ζ1100000000000
χ484-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i00000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i3200−3ζ73ζ700000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i3200−3ζ113ζ1100000000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32
χ511111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ521111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ531111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ541111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-111−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ551111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-11−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ561111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ57222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i3200−1−i3−1−i300001+i321+i320−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i3200−1+i3−1+i300001−i321−i320
χ58222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32001+i31+i30000−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32001−i31−i30000−1+i32−1+i320
χ59222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110−1−i3−1−i3−1−i31+i321+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200−1−i31+i300001+i32−1−i320−1+i3−1+i3−1+i31−i321−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200−1+i31−i300001−i32−1+i320
χ60222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10−1−i3−1−i3−1−i31+i321+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32001+i3−1−i30000−1−i321+i320−1+i3−1+i3−1+i31−i321−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32001−i3−1+i30000−1+i321−i320
χ6122-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-1000−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i300001+i321+i32000−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i300001−i321−i32000
χ6222-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-2000011000−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i31+i30000−1−i32−1−i32000−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i31−i30000−1+i32−1+i32000
χ6322-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-11000−1−i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i31+i300001+i32−1−i32000−1+i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i31−i300001−i32−1+i32000
χ6422-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-1000−1−i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i321+i3−1−i30000−1−i321+i32000−1+i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i321−i3−1+i30000−1+i321−i32000
χ652-2220-2-22-2000000002-2000002-2220-2-22-2000000002-200000−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i300000000−1−i31+i300000−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i300000000−1+i31−i300000
χ662-2220-2-22-200000000-22000002-2220-2-22-200000000-2200000−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i3000000001+i3−1−i300000−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i3000000001−i3−1+i300000
χ6744-2-24-2-211-2-2110000000000044-2-24-2-211-2-21100000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000000
χ6844-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-100000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i3200000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i3200000000000
χ694-44-20-42-220000000000000004-44-20-42-22000000000000000−2−2i32+2i3−2−2i31+i302+2i3−1−i31+i3−1−i3000000000000000−2+2i32−2i3−2+2i31−i302−2i3−1+i31−i3−1+i3000000000000000
χ704-4-2402-4-220000000000000004-4-2402-4-22000000000000000−2−2i32+2i31+i3−2−2i30−1−i32+2i31+i3−1−i3000000000000000−2+2i32−2i31−i3−2+2i30−1+i32−2i31−i3−1+i3000000000000000
χ714-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i00000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i32003ζ11−3ζ1100000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i32003ζ7−3ζ700000000000
χ724-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i00000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i3200−3ζ113ζ1100000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i3200−3ζ73ζ700000000000
χ73333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ74333333333333333-3-3-3-333-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111000000000000000000000000000000000000000000000000
χ753333333333333-3-333-3-3-3-333-3-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11000000000000000000000000000000000000000000000000
χ763333333333333-3-3-3-333-3-3-3-33-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1000000000000000000000000000000000000000000000000
χ773333-33333-3-3-3-33-33-3333-33-3-3-1-1-1-11-1-1-1-11111-11-11-1-1-11-111000000000000000000000000000000000000000000000000
χ783333-33333-3-3-3-33-3-33-3-33-3-333-1-1-1-11-1-1-1-11111-111-111-111-1-1000000000000000000000000000000000000000000000000
χ793333-33333-3-3-3-3-333-3-3-3-333-33-1-1-1-11-1-1-1-111111-1-11111-1-11-1000000000000000000000000000000000000000000000000
χ803333-33333-3-3-3-3-33-3333-33-33-3-1-1-1-11-1-1-1-111111-11-1-1-11-11-11000000000000000000000000000000000000000000000000
χ81666-366-3-3-36-3-3-300660000-3-30-2-2-21-2-2111-211100-2-20000110000000000000000000000000000000000000000000000000
χ82666-366-3-3-36-3-3-300-6-60000330-2-2-21-2-2111-211100220000-1-10000000000000000000000000000000000000000000000000
χ83666-3-66-3-3-3-6333006-60000-330-2-2-212-21112-1-1-100-2200001-10000000000000000000000000000000000000000000000000
χ84666-3-66-3-3-3-633300-6600003-30-2-2-212-21112-1-1-1002-20000-110000000000000000000000000000000000000000000000000
χ8566-366-36-3-3-36-3-3660000-3-3000-2-21-2-21-2111-211-2-2000011000000000000000000000000000000000000000000000000000
χ8666-366-36-3-3-36-3-3-6-6000033000-2-21-2-21-2111-211220000-1-1000000000000000000000000000000000000000000000000000
χ8766-36-6-36-3-33-6336-60000-33000-2-21-221-211-12-1-1-2200001-1000000000000000000000000000000000000000000000000000
χ8866-36-6-36-3-33-633-6600003-3000-2-21-221-211-12-1-12-20000-11000000000000000000000000000000000000000000000000000
χ896-6660-6-66-6000000006-600000-22-2-2022-2200000000-2200000000000000000000000000000000000000000000000000000
χ906-6660-6-66-600000000-6600000-22-2-2022-22000000002-200000000000000000000000000000000000000000000000000000
χ911212-6-612-6-633-6-63300000000000-4-422-422-1-122-1-100000000000000000000000000000000000000000000000000000000000
χ921212-6-6-12-6-63366-3-300000000000-4-422422-1-1-2-21100000000000000000000000000000000000000000000000000000000000
χ9312-1212-60-126-66000000000000000-44-4204-22-2000000000000000000000000000000000000000000000000000000000000000
χ9412-12-61206-12-66000000000000000-442-40-242-2000000000000000000000000000000000000000000000000000000000000000
χ9512-12-6-60663-3009i−9i00000000000-44220-2-2-1100−3i3i00000000000000000000000000000000000000000000000000000000000
χ9612-12-6-60663-300−9i9i00000000000-44220-2-2-11003i−3i00000000000000000000000000000000000000000000000000000000000

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