Finite Group Databasebeta

← Group #11922796

Character table — Group #11922796

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112223344666888812121616161616162424242424242424112223344666888812121616161616162424242424242424112223344666888812121616161616162424242424242424
order1224422242443612122466612121244448888366121266612612123612126126661212121212121224242424366121266612612123612126126661212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-11111111-1-11-1-11-1-11111-1-1-1-11111111-1-11111111-1-11-1-11-1-11111-1-1-1-11111111-1-11111111-1-11-1-11-1-11111-1-1-1-1
χ41111111-1-11111111-1-11-1-11-1-1-1-1-1-111111111111-1-11111111-1-11-1-11-1-1-1-1-1-111111111111-1-11111111-1-11-1-11-1-1-1-1-1-11111
χ511-1-11111-1-1-1111-1-11-1-1111-1-11-11-11-11-111-1-11111-1-1-1111-1-11-1-1111-1-11-11-11-11-111-1-11111-1-1-1111-1-11-1-1111-1-11-11-11-11-1
χ611-1-11111-1-1-1111-1-11-1-1111-1-1-11-11-11-1111-1-11111-1-1-1111-1-11-1-1111-1-1-11-11-11-1111-1-11111-1-1-1111-1-11-1-1111-1-1-11-11-11-11
χ711-1-1111-11-1-1111-1-1-11-1-1-11111-11-1-11-1111-1-1111-11-1-1111-1-1-11-1-1-11111-11-1-11-1111-1-1111-11-1-1111-1-1-11-1-1-11111-11-1-11-11
χ811-1-1111-11-1-1111-1-1-11-1-1-1111-11-111-11-111-1-1111-11-1-1111-1-1-11-1-1-1111-11-111-11-111-1-1111-11-1-1111-1-1-11-1-1-1111-11-111-11-1
χ9222222222222-1-1-1-122-1-1-1-1-1-100000000222222222222-1-1-1-122-1-1-1-1-1-100000000222222222222-1-1-1-122-1-1-1-1-1-100000000
χ102222222-2-2222-1-1-1-1-2-2-111-111000000002222222-2-2222-1-1-1-1-2-2-111-111000000002222222-2-2222-1-1-1-1-2-2-111-11100000000
χ11222-2-222002-2-222-2-200200-20000000000222-2-222002-2-222-2-200200-20000000000222-2-222002-2-222-2-200200-20000000000
χ12222-2-222002-2-2-1-11100-1−i3i31−i3i300000000222-2-222002-2-2-1-11100-1−i3i31−i3i300000000222-2-222002-2-2-1-11100-1−i3i31−i3i300000000
χ13222-2-222002-2-2-1-11100-1i3−i31i3−i300000000222-2-222002-2-2-1-11100-1i3−i31i3−i300000000222-2-222002-2-2-1-11100-1i3−i31i3−i300000000
χ1422-22-22200-22-2222200-200-2000000000022-22-22200-22-2222200-200-2000000000022-22-22200-22-2222200-200-20000000000
χ1522-22-22200-22-2-1-1-1-1001−i3i31i3−i30000000022-22-22200-22-2-1-1-1-1001−i3i31i3−i30000000022-22-22200-22-2-1-1-1-1001−i3i31i3−i300000000
χ1622-22-22200-22-2-1-1-1-1001i3−i31−i3i30000000022-22-22200-22-2-1-1-1-1001i3−i31−i3i30000000022-22-22200-22-2-1-1-1-1001i3−i31−i3i300000000
χ1722-2-22222-2-2-22-1-1112-21-1-1-1110000000022-2-22222-2-2-22-1-1112-21-1-1-1110000000022-2-22222-2-2-22-1-1112-21-1-1-11100000000
χ1822-2-2222-22-2-22-1-111-22111-1-1-10000000022-2-2222-22-2-22-1-111-22111-1-1-10000000022-2-2222-22-2-22-1-111-22111-1-1-100000000
χ1933333-1-133-1-1-10000-1-100000011-1-111-1-133333-1-133-1-1-10000-1-100000011-1-111-1-133333-1-133-1-1-10000-1-100000011-1-111-1-1
χ2033333-1-133-1-1-10000-1-1000000-1-111-1-11133333-1-133-1-1-10000-1-1000000-1-111-1-11133333-1-133-1-1-10000-1-1000000-1-111-1-111
χ2133333-1-1-3-3-1-1-100001100000011-1-1-1-11133333-1-1-3-3-1-1-100001100000011-1-1-1-11133333-1-1-3-3-1-1-100001100000011-1-1-1-111
χ2233333-1-1-3-3-1-1-1000011000000-1-11111-1-133333-1-1-3-3-1-1-1000011000000-1-11111-1-133333-1-1-3-3-1-1-1000011000000-1-11111-1-1
χ2333-3-33-1-13-311-10000-110000001-1-111-1-1133-3-33-1-13-311-10000-110000001-1-111-1-1133-3-33-1-13-311-10000-110000001-1-111-1-11
χ2433-3-33-1-13-311-10000-11000000-111-1-111-133-3-33-1-13-311-10000-11000000-111-1-111-133-3-33-1-13-311-10000-11000000-111-1-111-1
χ2533-3-33-1-1-3311-100001-10000001-1-11-111-133-3-33-1-1-3311-100001-10000001-1-11-111-133-3-33-1-1-3311-100001-10000001-1-11-111-1
χ2633-3-33-1-1-3311-100001-1000000-111-11-1-1133-3-33-1-1-3311-100001-1000000-111-11-1-1133-3-33-1-1-3311-100001-1000000-111-11-1-11
χ274-40004-4000004-40000000000000000004-40004-4000004-40000000000000000004-40004-4000004-4000000000000000000
χ284-40004-400000-2223−2300000000000000004-40004-400000-2223−2300000000000000004-40004-400000-2223−230000000000000000
χ294-40004-400000-22−232300000000000000004-40004-400000-22−232300000000000000004-40004-400000-22−23230000000000000000
χ30666-6-6-2-200-22200000000000000000000666-6-6-2-200-22200000000000000000000666-6-6-2-200-22200000000000000000000
χ3166-66-6-2-2002-220000000000000000000066-66-6-2-2002-220000000000000000000066-66-6-2-2002-2200000000000000000000
χ3212-12000-44000000000000000000000000012-12000-44000000000000000000000000012-12000-440000000000000000000000000
χ3311111111111111111111111111111111−1+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−i32−1−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
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ351111111-1-11111111-1-11-1-11-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ361111111-1-11111111-1-11-1-11-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3711-1-11111-1-1-1111-1-11-1-1111-1-11-11-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3811-1-11111-1-1-1111-1-11-1-1111-1-1-11-11-11-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3911-1-1111-11-1-1111-1-1-11-1-1-11111-11-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4011-1-1111-11-1-1111-1-1-11-1-1-1111-11-111-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ41222222222222-1-1-1-122-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000
χ422222222-2-2222-1-1-1-1-2-2-111-11100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i3200000000
χ43222-2-222002-2-222-2-200200-20000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3−1+i3−1+i31−i31−i300−1+i3001−i30000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3−1−i3−1−i31+i31+i300−1−i3001+i30000000000
χ44222-2-222002-2-2-1-11100-1−i3i31−i3i300000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i321−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i3200000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i321+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i3200000000
χ45222-2-222002-2-2-1-11100-1i3−i31i3−i300000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i321−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i3200000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i321+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i3200000000
χ4622-22-22200-22-2222200-200-20000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i3001−i30000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i3001+i30000000000
χ4722-22-22200-22-2-1-1-1-1001−i3i31i3−i300000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i321−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i3200000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i321+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i3200000000
χ4822-22-22200-22-2-1-1-1-1001i3−i31−i3i300000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i321−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i3200000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i321+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i3200000000
χ4922-2-22222-2-2-22-1-1112-21-1-1-11100000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i3200000000
χ5022-2-2222-22-2-22-1-111-22111-1-1-100000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i3200000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i3200000000
χ5133333-1-133-1-1-10000-1-100000011-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ5233333-1-133-1-1-10000-1-1000000-1-111-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ5333333-1-1-3-3-1-1-100001100000011-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ5433333-1-1-3-3-1-1-1000011000000-1-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i321−i321−i321−i320000−1+i32−1+i320000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i321+i321+i321+i320000−1−i32−1−i320000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5533-3-33-1-13-311-10000-110000001-1-111-1-11−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32−3+3i323−3i32−1+i32−1+i321−i3200001−i32−1+i32000000−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32−3−3i323+3i32−1−i32−1−i321+i3200001+i32−1−i32000000−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5633-3-33-1-13-311-10000-11000000-111-1-111-1−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32−3+3i323−3i32−1+i32−1+i321−i3200001−i32−1+i320000001−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32−3−3i323+3i32−1−i32−1−i321+i3200001+i32−1−i320000001+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5733-3-33-1-1-3311-100001-10000001-1-11-111-1−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i323−3i32−3+3i32−1+i32−1+i321−i320000−1+i321−i32000000−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i323+3i32−3−3i32−1−i32−1−i321+i320000−1−i321+i32000000−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ5833-3-33-1-1-3311-100001-1000000-111-11-1-11−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i323−3i32−3+3i32−1+i32−1+i321−i320000−1+i321−i320000001−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i323+3i32−3−3i32−1−i32−1−i321+i320000−1−i321+i320000001+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ594-40004-4000004-4000000000000000000−2+2i32−2i3000−2+2i32−2i300000−2+2i32−2i3000000000000000000−2−2i32+2i3000−2−2i32+2i300000−2−2i32+2i3000000000000000000
χ604-40004-400000-2223−230000000000000000−2+2i32−2i3000−2+2i32−2i3000001−i3−1+i3−2ζ7−4ζ112ζ7+4ζ110000000000000000−2−2i32+2i3000−2−2i32+2i3000001+i3−1−i34ζ7+2ζ11−4ζ7−2ζ110000000000000000
χ614-40004-400000-22−23230000000000000000−2+2i32−2i3000−2+2i32−2i3000001−i3−1+i32ζ7+4ζ11−2ζ7−4ζ110000000000000000−2−2i32+2i3000−2−2i32+2i3000001+i3−1−i3−4ζ7−2ζ114ζ7+2ζ110000000000000000
χ62666-6-6-2-200-22200000000000000000000−3+3i3−3+3i3−3+3i33−3i33−3i31−i31−i3001−i3−1+i3−1+i300000000000000000000−3−3i3−3−3i3−3−3i33+3i33+3i31+i31+i3001+i3−1−i3−1−i300000000000000000000
χ6366-66-6-2-2002-2200000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i31−i31−i300−1+i31−i3−1+i300000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i31+i31+i300−1−i31+i3−1−i300000000000000000000
χ6412-12000-440000000000000000000000000−6+6i36−6i30002−2i3−2+2i30000000000000000000000000−6−6i36+6i30002+2i3−2−2i30000000000000000000000000
χ6511111111111111111111111111111111−1−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+i32−1+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
χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ671111111-1-11111111-1-11-1-11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ681111111-1-11111111-1-11-1-11-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6911-1-11111-1-1-1111-1-11-1-1111-1-11-11-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ7011-1-11111-1-1-1111-1-11-1-1111-1-1-11-11-11-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ7111-1-1111-11-1-1111-1-1-11-1-1-11111-11-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ7211-1-1111-11-1-1111-1-1-11-1-1-1111-11-111-11-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ73222222222222-1-1-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ742222222-2-2222-1-1-1-1-2-2-111-11100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i3200000000
χ75222-2-222002-2-222-2-200200-20000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3−1−i3−1−i31+i31+i300−1−i3001+i30000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3−1+i3−1+i31−i31−i300−1+i3001−i30000000000
χ76222-2-222002-2-2-1-11100-1−i3i31−i3i300000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i321+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i3200000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i321−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i3200000000
χ77222-2-222002-2-2-1-11100-1i3−i31i3−i300000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i321+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i3200000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i321−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i3200000000
χ7822-22-22200-22-2222200-200-20000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i3001+i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i3001−i30000000000
χ7922-22-22200-22-2-1-1-1-1001−i3i31i3−i300000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i321+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i3200000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i321−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i3200000000
χ8022-22-22200-22-2-1-1-1-1001i3−i31−i3i300000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i321+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i3200000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i321−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i3200000000
χ8122-2-22222-2-2-22-1-1112-21-1-1-11100000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i3200000000
χ8222-2-2222-22-2-22-1-111-22111-1-1-100000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i3200000000
χ8333333-1-133-1-1-10000-1-100000011-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ8433333-1-133-1-1-10000-1-1000000-1-111-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8533333-1-1-3-3-1-1-100001100000011-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ8633333-1-1-3-3-1-1-1000011000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i321+i321+i321+i320000−1−i32−1−i320000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i321−i321−i321−i320000−1+i32−1+i320000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ8733-3-33-1-13-311-10000-110000001-1-111-1-11−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32−3−3i323+3i32−1−i32−1−i321+i3200001+i32−1−i32000000−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32−3+3i323−3i32−1+i32−1+i321−i3200001−i32−1+i32000000−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ8833-3-33-1-13-311-10000-11000000-111-1-111-1−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32−3−3i323+3i32−1−i32−1−i321+i3200001+i32−1−i320000001+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32−3+3i323−3i32−1+i32−1+i321−i3200001−i32−1+i320000001−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ8933-3-33-1-1-3311-100001-10000001-1-11-111-1−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i323+3i32−3−3i32−1−i32−1−i321+i320000−1−i321+i32000000−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i323−3i32−3+3i32−1+i32−1+i321−i320000−1+i321−i32000000−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ9033-3-33-1-1-3311-100001-1000000-111-11-1-11−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i323+3i32−3−3i32−1−i32−1−i321+i320000−1−i321+i320000001+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i323−3i32−3+3i32−1+i32−1+i321−i320000−1+i321−i320000001−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ914-40004-4000004-4000000000000000000−2−2i32+2i3000−2−2i32+2i300000−2−2i32+2i3000000000000000000−2+2i32−2i3000−2+2i32−2i300000−2+2i32−2i3000000000000000000
χ924-40004-400000-2223−230000000000000000−2−2i32+2i3000−2−2i32+2i3000001+i3−1−i34ζ7+2ζ11−4ζ7−2ζ110000000000000000−2+2i32−2i3000−2+2i32−2i3000001−i3−1+i3−2ζ7−4ζ112ζ7+4ζ110000000000000000
χ934-40004-400000-22−23230000000000000000−2−2i32+2i3000−2−2i32+2i3000001+i3−1−i3−4ζ7−2ζ114ζ7+2ζ110000000000000000−2+2i32−2i3000−2+2i32−2i3000001−i3−1+i32ζ7+4ζ11−2ζ7−4ζ110000000000000000
χ94666-6-6-2-200-22200000000000000000000−3−3i3−3−3i3−3−3i33+3i33+3i31+i31+i3001+i3−1−i3−1−i300000000000000000000−3+3i3−3+3i3−3+3i33−3i33−3i31−i31−i3001−i3−1+i3−1+i300000000000000000000
χ9566-66-6-2-2002-2200000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i31+i31+i300−1−i31+i3−1−i300000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i31−i31−i300−1+i31−i3−1+i300000000000000000000
χ9612-12000-440000000000000000000000000−6−6i36+6i30002+2i3−2−2i30000000000000000000000000−6+6i36−6i30002−2i3−2+2i30000000000000000000000000

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