Finite Group Databasebeta

← Group #72277282

Character table — Group #72277282

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size116812122424242424323232324848116812122424242424323232324848116812122424242424323232324848116812122424242424323232324848116812122424242424323232324848116812122424242424323232324848
order1224242244436121248366126126612121236121212243661261266121212361212122422242422444661212486661261266121212661212122466612612661212126612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1
χ3111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1
χ4111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11
χ522222200200-1-1-1-10022222200200-1-1-1-10022222200200-1-1-1-10022222200200-1-1-1-10022222200200-1-1-1-10022222200200-1-1-1-100
χ6222-22200-200-1-11100222-22200-200-1-11100222-22200-200-1-11100222-22200-200-1-11100222-22200-200-1-11100222-22200-200-1-11100
χ73333-1-111-1110000-1-13333-1-111-1110000-1-13333-1-111-1110000-1-13333-1-111-1110000-1-13333-1-111-1110000-1-13333-1-111-1110000-1-1
χ83333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-1000011
χ9333-3-1-11-111-10000-11333-3-1-11-111-10000-11333-3-1-11-111-10000-11333-3-1-11-111-10000-11333-3-1-11-111-10000-11333-3-1-11-111-10000-11
χ10333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1
χ1166-202-2200-2000000066-202-2200-2000000066-202-2200-2000000066-202-2200-2000000066-202-2200-2000000066-202-2200-20000000
χ1266-202-2-2002000000066-202-2-2002000000066-202-2-2002000000066-202-2-2002000000066-202-2-2002000000066-202-2-20020000000
χ1366-20-220200-200000066-20-220200-200000066-20-220200-200000066-20-220200-200000066-20-220200-200000066-20-220200-2000000
χ1466-20-220-200200000066-20-220-200200000066-20-220-200200000066-20-220-200200000066-20-220-200200000066-20-220-2002000000
χ158-80000000002-200008-80000000002-200008-80000000002-200008-80000000002-200008-80000000002-200008-80000000002-20000
χ168-8000000000-113−3008-8000000000-113−3008-8000000000-113−3008-8000000000-113−3008-8000000000-113−3008-8000000000-113−300
χ178-8000000000-11−33008-8000000000-11−33008-8000000000-11−33008-8000000000-11−33008-8000000000-11−33008-8000000000-11−3300
χ1811111111111111111−1+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−i3211111111111111111−1+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
χ19111111-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32111111-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ20111-1111-1-11-111-1-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32111-1111-1-11-111-1-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ21111-111-11-1-1111-1-1-11−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32111-111-11-1-1111-1-1-11−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ2222222200200-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i320022222200200-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i3200
χ23222-22200-200-1-11100−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200222-22200-200-1-11100−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200
χ243333-1-111-1110000-1-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i323333-1-111-1110000-1-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i32
χ253333-1-1-1-1-1-1-1000011−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i323333-1-1-1-1-1-1-1000011−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32
χ26333-3-1-11-111-10000-11−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32333-3-1-11-111-10000-11−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32
χ27333-3-1-1-111-1100001-1−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32333-3-1-1-111-1100001-1−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32
χ2866-202-2200-20000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i30000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i3000000066-202-2200-20000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i30000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i30000000
χ2966-202-2-20020000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i30000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i3000000066-202-2-20020000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i30000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i30000000
χ3066-20-220200-2000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i3000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i300000066-20-220200-2000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i3000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i3000000
χ3166-20-220-2002000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i3000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i300000066-20-220-2002000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i3000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i3000000
χ328-80000000002-20000−4+4i34−4i3000000000−1+i31−i30000−4−4i34+4i3000000000−1−i31+i300008-80000000002-20000−4+4i34−4i3000000000−1+i31−i30000−4−4i34+4i3000000000−1−i31+i30000
χ338-8000000000-113−300−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ11008-8000000000-113−300−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ1100
χ348-8000000000-11−3300−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ1100−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ11008-8000000000-11−3300−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ1100−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ1100
χ3511111111111111111−1−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+i3211111111111111111−1−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
χ36111111-1-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32111111-1-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ37111-1111-1-11-111-1-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32111-1111-1-11-111-1-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ38111-111-11-1-1111-1-1-11−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32111-111-11-1-1111-1-1-11−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ3922222200200-1-1-1-100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i320022222200200-1-1-1-100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i3200
χ40222-22200-200-1-11100−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200222-22200-200-1-11100−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200
χ413333-1-111-1110000-1-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i323333-1-111-1110000-1-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i32
χ423333-1-1-1-1-1-1-1000011−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i323333-1-1-1-1-1-1-1000011−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32
χ43333-3-1-11-111-10000-11−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32333-3-1-11-111-10000-11−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32
χ44333-3-1-1-111-1100001-1−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32333-3-1-1-111-1100001-1−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32
χ4566-202-2200-20000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i30000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i3000000066-202-2200-20000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i30000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i30000000
χ4666-202-2-20020000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i30000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i3000000066-202-2-20020000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i30000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i30000000
χ4766-20-220200-2000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i3000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i300000066-20-220200-2000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i3000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i3000000
χ4866-20-220-2002000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i3000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i300000066-20-220-2002000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i3000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i3000000
χ498-80000000002-20000−4−4i34+4i3000000000−1−i31+i30000−4+4i34−4i3000000000−1+i31−i300008-80000000002-20000−4−4i34+4i3000000000−1−i31+i30000−4+4i34−4i3000000000−1+i31−i30000
χ508-8000000000-113−300−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ1100−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11008-8000000000-113−300−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ1100−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100
χ518-8000000000-11−3300−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ1100−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11008-8000000000-11−3300−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ1100−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ1100
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-111
χ54111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1111-1111-1-11-111-1-11-1-1-1-11-1-1-111-11-1-111-11-1-1-11-1-1-111-11-1-111-11-1-1-11-1-1-111-11-1-111-11
χ55111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11111-111-11-1-1111-1-1-11-1-1-11-1-11-111-1-1-1111-1-1-1-11-1-11-111-1-1-1111-1-1-1-11-1-11-111-1-1-1111-1
χ5622222200200-1-1-1-10022222200200-1-1-1-10022222200200-1-1-1-100-2-2-2-2-2-200-200111100-2-2-2-2-2-200-200111100-2-2-2-2-2-200-200111100
χ57222-22200-200-1-11100222-22200-200-1-11100222-22200-200-1-11100-2-2-22-2-20020011-1-100-2-2-22-2-20020011-1-100-2-2-22-2-20020011-1-100
χ583333-1-111-1110000-1-13333-1-111-1110000-1-13333-1-111-1110000-1-1-3-3-3-311-1-11-1-1000011-3-3-3-311-1-11-1-1000011-3-3-3-311-1-11-1-1000011
χ593333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-10000113333-1-1-1-1-1-1-1000011-3-3-3-311111110000-1-1-3-3-3-311111110000-1-1-3-3-3-311111110000-1-1
χ60333-3-1-11-111-10000-11333-3-1-11-111-10000-11333-3-1-11-111-10000-11-3-3-3311-11-1-1100001-1-3-3-3311-11-1-1100001-1-3-3-3311-11-1-1100001-1
χ61333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1333-3-1-1-111-1100001-1-3-3-33111-1-11-10000-11-3-3-33111-1-11-10000-11-3-3-33111-1-11-10000-11
χ6266-202-2200-2000000066-202-2200-2000000066-202-2200-20000000-6-620-22-20020000000-6-620-22-20020000000-6-620-22-20020000000
χ6366-202-2-2002000000066-202-2-2002000000066-202-2-20020000000-6-620-22200-20000000-6-620-22200-20000000-6-620-22200-20000000
χ6466-20-220200-200000066-20-220200-200000066-20-220200-2000000-6-6202-20-2002000000-6-6202-20-2002000000-6-6202-20-2002000000
χ6566-20-220-200200000066-20-220-200200000066-20-220-2002000000-6-6202-20200-2000000-6-6202-20200-2000000-6-6202-20200-2000000
χ668-80000000002-200008-80000000002-200008-80000000002-20000-88000000000-220000-88000000000-220000-88000000000-220000
χ678-8000000000-113−3008-8000000000-113−3008-8000000000-113−300-880000000001-1−3300-880000000001-1−3300-880000000001-1−3300
χ688-8000000000-11−33008-8000000000-11−33008-8000000000-11−3300-880000000001-13−300-880000000001-13−300-880000000001-13−300
χ6911111111111111111−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ70111111-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-111-111-1-1-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ71111-1111-1-11-111-1-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32-1-1-11-1-1-111-11-1-111-111−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ72111-111-11-1-1111-1-1-11−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32-1-1-11-1-11-111-1-1-1111-11−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ7322222200200-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i3200-2-2-2-2-2-200-2001111001−i31−i31−i31−i31−i31−i3001−i300−1+i32−1+i32−1+i32−1+i32001+i31+i31+i31+i31+i31+i3001+i300−1−i32−1−i32−1−i32−1−i3200
χ74222-22200-200-1-11100−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200-2-2-22-2-20020011-1-1001−i31−i31−i3−1+i31−i31−i300−1+i300−1+i32−1+i321−i321−i32001+i31+i31+i3−1−i31+i31+i300−1−i300−1−i32−1−i321+i321+i3200
χ753333-1-111-1110000-1-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i32-3-3-3-311-1-11-1-10000113−3i323−3i323−3i323−3i32−1+i32−1+i321−i321−i32−1+i321−i321−i320000−1+i32−1+i323+3i323+3i323+3i323+3i32−1−i32−1−i321+i321+i32−1−i321+i321+i320000−1−i32−1−i32
χ763333-1-1-1-1-1-1-1000011−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32-3-3-3-311111110000-1-13−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i323+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i32
χ77333-3-1-11-111-10000-11−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32-3-3-3311-11-1-1100001-13−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i320000−1+i321−i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i320000−1−i321+i32
χ78333-3-1-1-111-1100001-1−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32-3-3-33111-1-11-10000-113−3i323−3i323−3i32−3+3i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i3200001−i32−1+i323+3i323+3i323+3i32−3−3i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i3200001+i32−1−i32
χ7966-202-2200-20000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i30000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i30000000-6-620-22-200200000003−3i33−3i3−1+i301−i3−1+i31−i300−1+i300000003+3i33+3i3−1−i301+i3−1−i31+i300−1−i30000000
χ8066-202-2-20020000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i30000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i30000000-6-620-22200-200000003−3i33−3i3−1+i301−i3−1+i3−1+i3001−i300000003+3i33+3i3−1−i301+i3−1−i3−1−i3001+i30000000
χ8166-20-220200-2000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i3000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i3000000-6-6202-20-20020000003−3i33−3i3−1+i30−1+i31−i301−i300−1+i30000003+3i33+3i3−1−i30−1−i31+i301+i300−1−i3000000
χ8266-20-220-2002000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i3000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i3000000-6-6202-20200-20000003−3i33−3i3−1+i30−1+i31−i30−1+i3001−i30000003+3i33+3i3−1−i30−1−i31+i30−1−i3001+i3000000
χ838-80000000002-20000−4+4i34−4i3000000000−1+i31−i30000−4−4i34+4i3000000000−1−i31+i30000-88000000000-2200004−4i3−4+4i30000000001−i3−1+i300004+4i3−4−4i30000000001+i3−1−i30000
χ848-8000000000-113−300−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ1100-880000000001-1−33004−4i3−4+4i3000000000−1+i321−i32ζ7+2ζ11−ζ7−2ζ11004+4i3−4−4i3000000000−1−i321+i32−2ζ7−ζ112ζ7+ζ1100
χ858-8000000000-11−3300−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ1100−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ1100-880000000001-13−3004−4i3−4+4i3000000000−1+i321−i32−ζ7−2ζ11ζ7+2ζ11004+4i3−4−4i3000000000−1−i321+i322ζ7+ζ11−2ζ7−ζ1100
χ8611111111111111111−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ87111111-1-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-111-111-1-1-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ88111-1111-1-11-111-1-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32-1-1-11-1-1-111-11-1-111-111+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ89111-111-11-1-1111-1-1-11−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32-1-1-11-1-11-111-1-1-1111-11+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ9022222200200-1-1-1-100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3001+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3001−i321−i321−i321−i3200-2-2-2-2-2-200-2001111001+i31+i31+i31+i31+i31+i3001+i300−1−i32−1−i32−1−i32−1−i32001−i31−i31−i31−i31−i31−i3001−i300−1+i32−1+i32−1+i32−1+i3200
χ91222-22200-200-1-11100−1−i3−1−i3−1−i31+i3−1−i3−1−i3001+i3001+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i31−i3−1+i3−1+i3001−i3001−i321−i32−1+i32−1+i3200-2-2-22-2-20020011-1-1001+i31+i31+i3−1−i31+i31+i300−1−i300−1−i32−1−i321+i321+i32001−i31−i31−i3−1+i31−i31−i300−1+i300−1+i32−1+i321−i321−i3200
χ923333-1-111-1110000-1-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200001−i321−i32-3-3-3-311-1-11-1-10000113+3i323+3i323+3i323+3i32−1−i32−1−i321+i321+i32−1−i321+i321+i320000−1−i32−1−i323−3i323−3i323−3i323−3i32−1+i32−1+i321−i321−i32−1+i321−i321−i320000−1+i32−1+i32
χ933333-1-1-1-1-1-1-1000011−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32-3-3-3-311111110000-1-13+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i323−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32
χ94333-3-1-11-111-10000-11−3−3i32−3−3i32−3−3i323+3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200001+i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200001−i32−1+i32-3-3-3311-11-1-1100001-13+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i320000−1−i321+i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i320000−1+i321−i32
χ95333-3-1-1-111-1100001-1−3−3i32−3−3i32−3−3i323+3i321+i321+i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i32-3-3-33111-1-11-10000-113+3i323+3i323+3i32−3−3i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i3200001+i32−1−i323−3i323−3i323−3i32−3+3i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i3200001−i32−1+i32
χ9666-202-2200-20000000−3−3i3−3−3i31+i30−1−i31+i3−1−i3001+i30000000−3+3i3−3+3i31−i30−1+i31−i3−1+i3001−i30000000-6-620-22-200200000003+3i33+3i3−1−i301+i3−1−i31+i300−1−i300000003−3i33−3i3−1+i301−i3−1+i31−i300−1+i30000000
χ9766-202-2-20020000000−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i30000000−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i30000000-6-620-22200-200000003+3i33+3i3−1−i301+i3−1−i3−1−i3001+i300000003−3i33−3i3−1+i301−i3−1+i3−1+i3001−i30000000
χ9866-20-220200-2000000−3−3i3−3−3i31+i301+i3−1−i30−1−i3001+i3000000−3+3i3−3+3i31−i301−i3−1+i30−1+i3001−i3000000-6-6202-20-20020000003+3i33+3i3−1−i30−1−i31+i301+i300−1−i30000003−3i33−3i3−1+i30−1+i31−i301−i300−1+i3000000
χ9966-20-220-2002000000−3−3i3−3−3i31+i301+i3−1−i301+i300−1−i3000000−3+3i3−3+3i31−i301−i3−1+i301−i300−1+i3000000-6-6202-20200-20000003+3i33+3i3−1−i30−1−i31+i30−1−i3001+i30000003−3i33−3i3−1+i30−1+i31−i30−1+i3001−i3000000
χ1008-80000000002-20000−4−4i34+4i3000000000−1−i31+i30000−4+4i34−4i3000000000−1+i31−i30000-88000000000-2200004+4i3−4−4i30000000001+i3−1−i300004−4i3−4+4i30000000001−i3−1+i30000
χ1018-8000000000-113−300−4−4i34+4i30000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ1100−4+4i34−4i30000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100-880000000001-1−33004+4i3−4−4i3000000000−1−i321+i32−2ζ7−ζ112ζ7+ζ11004−4i3−4+4i3000000000−1+i321−i32ζ7+2ζ11−ζ7−2ζ1100
χ1028-8000000000-11−3300−4−4i34+4i30000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ1100−4+4i34−4i30000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ1100-880000000001-13−3004+4i3−4−4i3000000000−1−i321+i322ζ7+ζ11−2ζ7−ζ11004−4i3−4+4i3000000000−1+i321−i32−ζ7−2ζ11ζ7+2ζ1100

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