Finite Group Databasebeta

← Group #13088308

Character table — Group #13088308

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112020202020242430303011202020202024243030301120202020202424303030112020202020242430303011202020202024243030301120202020202424303030
order12236665104883663666153012242436636661530122424222666610104886666666303012242466666663030122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-1
χ344211-1-1-1-100044211-1-1-1-100044211-1-1-1-100044211-1-1-1-100044211-1-1-1-100044211-1-1-1-1000
χ444-21111-1-100044-21111-1-100044-21111-1-100044-21111-1-100044-21111-1-100044-21111-1-1000
χ54-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-11000
χ64-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-11000
χ74-40-2200-110004-40-2200-110004-40-2200-110004-40-2200-110004-40-2200-110004-40-2200-11000
χ8551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1
χ955-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-100111
χ10660000011-200660000011-200660000011-200660000011-200660000011-200660000011-200
χ116-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i2
χ126-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i2
χ13111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411-111-1-1111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i3211-111-1-1111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ1544211-1-1-1-1000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i3200044211-1-1-1-1000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000
χ1644-21111-1-1000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i3200044-21111-1-1000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000
χ174-401-1−i3i3-11000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i32000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i320004-401-1−i3i3-11000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i32000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i32000
χ184-401-1i3−i3-11000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i32000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i320004-401-1i3−i3-11000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i32000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i32000
χ194-40-2200-11000−2+2i32−2i301−i3−1+i3001−i32−1+i32000−2−2i32+2i301+i3−1−i3001+i32−1−i320004-40-2200-11000−2+2i32−2i301−i3−1+i3001−i32−1+i32000−2−2i32+2i301+i3−1−i3001+i32−1−i32000
χ20551-1-111001-1-1−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32551-1-111001-1-1−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32
χ2155-1-1-1-1-100111−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i3255-1-1-1-1-100111−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32
χ22660000011-200−3+3i3−3+3i300000−1+i32−1+i321−i300−3−3i3−3−3i300000−1−i32−1−i321+i300660000011-200−3+3i3−3+3i300000−1+i32−1+i321−i300−3−3i3−3−3i300000−1−i32−1−i321+i300
χ236-6000001-10−i2i2−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ23−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ136-6000001-10−i2i2−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ23−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ13
χ246-6000001-10i2−i2−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ23−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ136-6000001-10i2−i2−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ23−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ13
χ25111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611-111-1-1111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i3211-111-1-1111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ2744211-1-1-1-1000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200044211-1-1-1-1000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000
χ2844-21111-1-1000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i3200044-21111-1-1000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000
χ294-401-1−i3i3-11000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i32000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i320004-401-1−i3i3-11000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i32000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i32000
χ304-401-1i3−i3-11000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i32000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i320004-401-1i3−i3-11000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i32000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i32000
χ314-40-2200-11000−2−2i32+2i301+i3−1−i3001+i32−1−i32000−2+2i32−2i301−i3−1+i3001−i32−1+i320004-40-2200-11000−2−2i32+2i301+i3−1−i3001+i32−1−i32000−2+2i32−2i301−i3−1+i3001−i32−1+i32000
χ32551-1-111001-1-1−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32551-1-111001-1-1−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32
χ3355-1-1-1-1-100111−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i3255-1-1-1-1-100111−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32
χ34660000011-200−3−3i3−3−3i300000−1−i32−1−i321+i300−3+3i3−3+3i300000−1+i32−1+i321−i300660000011-200−3−3i3−3−3i300000−1−i32−1−i321+i300−3+3i3−3+3i300000−1+i32−1+i321−i300
χ356-6000001-10−i2i2−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ13−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ236-6000001-10−i2i2−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ13−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ23
χ366-6000001-10i2−i2−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ13−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ236-6000001-10i2−i2−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ13−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ23
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-1-1-11-1-111-1-1-111-1-11-1-111-1-1-111-1-11-1-111-1-1-111
χ3944211-1-1-1-100044211-1-1-1-100044211-1-1-1-1000-4-4-2-1-11111000-4-4-2-1-11111000-4-4-2-1-11111000
χ4044-21111-1-100044-21111-1-100044-21111-1-1000-4-42-1-1-1-111000-4-42-1-1-1-111000-4-42-1-1-1-111000
χ414-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-11000-440-11i3−i31-1000-440-11i3−i31-1000-440-11i3−i31-1000
χ424-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-11000-440-11−i3i31-1000-440-11−i3i31-1000-440-11−i3i31-1000
χ434-40-2200-110004-40-2200-110004-40-2200-11000-4402-2001-1000-4402-2001-1000-4402-2001-1000
χ44551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1-5-5-111-1-100-111-5-5-111-1-100-111-5-5-111-1-100-111
χ4555-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-100111-5-51111100-1-1-1-5-51111100-1-1-1-5-51111100-1-1-1
χ46660000011-200660000011-200660000011-200-6-600000-1-1200-6-600000-1-1200-6-600000-1-1200
χ476-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i2-6600000-110i2−i2-6600000-110i2−i2-6600000-110i2−i2
χ486-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i2-6600000-110−i2i2-6600000-110−i2i2-6600000-110−i2i2
χ49111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5011-111-1-1111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32-1-11-1-111-1-1-1111−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ5144211-1-1-1-1000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000-4-4-2-1-111110002−2i32−2i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320002+2i32+2i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000
χ5244-21111-1-1000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000-4-42-1-1-1-1110002−2i32−2i3−1+i31−i321−i321−i321−i32−1+i32−1+i320002+2i32+2i3−1−i31+i321+i321+i321+i32−1−i32−1−i32000
χ534-401-1−i3i3-11000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i32000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i32000-440-11i3−i31-10002−2i3−2+2i301−i32−1+i32−3−i323+i32−1+i321−i320002+2i3−2−2i301+i32−1−i323−i32−3+i32−1−i321+i32000
χ544-401-1i3−i3-11000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i32000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i32000-440-11−i3i31-10002−2i3−2+2i301−i32−1+i323+i32−3−i32−1+i321−i320002+2i3−2−2i301+i32−1−i32−3+i323−i32−1−i321+i32000
χ554-40-2200-11000−2+2i32−2i301−i3−1+i3001−i32−1+i32000−2−2i32+2i301+i3−1−i3001+i32−1−i32000-4402-2001-10002−2i3−2+2i30−1+i31−i300−1+i321−i320002+2i3−2−2i30−1−i31+i300−1−i321+i32000
χ56551-1-111001-1-1−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32-5-5-111-1-100-1115−5i325−5i321−i32−1+i32−1+i321−i321−i32001−i32−1+i32−1+i325+5i325+5i321+i32−1−i32−1−i321+i321+i32001+i32−1−i32−1−i32
χ5755-1-1-1-1-100111−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32-5-51111100-1-1-15−5i325−5i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i321−i321−i325+5i325+5i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i321+i321+i32
χ58660000011-200−3+3i3−3+3i300000−1+i32−1+i321−i300−3−3i3−3−3i300000−1−i32−1−i321+i300-6-600000-1-12003−3i33−3i3000001−i321−i32−1+i3003+3i33+3i3000001+i321+i32−1−i300
χ596-6000001-10−i2i2−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ23−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ13-6600000-110i2−i23−3i3−3+3i3000001−i32−1+i320−ζ5−ζ23ζ5+ζ233+3i3−3−3i3000001+i32−1−i320−ζ7−ζ13ζ7+ζ13
χ606-6000001-10i2−i2−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ23−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ13-6600000-110−i2i23−3i3−3+3i3000001−i32−1+i320ζ5+ζ23−ζ5−ζ233+3i3−3−3i3000001+i32−1−i320ζ7+ζ13−ζ7−ζ13
χ61111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6211-111-1-1111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32-1-11-1-111-1-1-1111+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ6344211-1-1-1-1000−2−2i3−2−2i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000−2+2i3−2+2i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000-4-4-2-1-111110002+2i32+2i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320002−2i32−2i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000
χ6444-21111-1-1000−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000-4-42-1-1-1-1110002+2i32+2i3−1−i31+i321+i321+i321+i32−1−i32−1−i320002−2i32−2i3−1+i31−i321−i321−i321−i32−1+i32−1+i32000
χ654-401-1−i3i3-11000−2−2i32+2i30−1−i321+i32−3+i323−i321+i32−1−i32000−2+2i32−2i30−1+i321−i323+i32−3−i321−i32−1+i32000-440-11i3−i31-10002+2i3−2−2i301+i32−1−i323−i32−3+i32−1−i321+i320002−2i3−2+2i301−i32−1+i32−3−i323+i32−1+i321−i32000
χ664-401-1i3−i3-11000−2−2i32+2i30−1−i321+i323−i32−3+i321+i32−1−i32000−2+2i32−2i30−1+i321−i32−3−i323+i321−i32−1+i32000-440-11−i3i31-10002+2i3−2−2i301+i32−1−i32−3+i323−i32−1−i321+i320002−2i3−2+2i301−i32−1+i323+i32−3−i32−1+i321−i32000
χ674-40-2200-11000−2−2i32+2i301+i3−1−i3001+i32−1−i32000−2+2i32−2i301−i3−1+i3001−i32−1+i32000-4402-2001-10002+2i3−2−2i30−1−i31+i300−1−i321+i320002−2i3−2+2i30−1+i31−i300−1+i321−i32000
χ68551-1-111001-1-1−5−5i32−5−5i32−1−i321+i321+i32−1−i32−1−i3200−1−i321+i321+i32−5+5i32−5+5i32−1+i321−i321−i32−1+i32−1+i3200−1+i321−i321−i32-5-5-111-1-100-1115+5i325+5i321+i32−1−i32−1−i321+i321+i32001+i32−1−i32−1−i325−5i325−5i321−i32−1+i32−1+i321−i321−i32001−i32−1+i32−1+i32
χ6955-1-1-1-1-100111−5−5i32−5−5i321+i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32−5+5i32−5+5i321−i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32-5-51111100-1-1-15+5i325+5i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i321+i321+i325−5i325−5i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i321−i321−i32
χ70660000011-200−3−3i3−3−3i300000−1−i32−1−i321+i300−3+3i3−3+3i300000−1+i32−1+i321−i300-6-600000-1-12003+3i33+3i3000001+i321+i32−1−i3003−3i33−3i3000001−i321−i32−1+i300
χ716-6000001-10−i2i2−3−3i33+3i300000−1−i321+i320ζ7+ζ13−ζ7−ζ13−3+3i33−3i300000−1+i321−i320ζ5+ζ23−ζ5−ζ23-6600000-110i2−i23+3i3−3−3i3000001+i32−1−i320−ζ7−ζ13ζ7+ζ133−3i3−3+3i3000001−i32−1+i320−ζ5−ζ23ζ5+ζ23
χ726-6000001-10i2−i2−3−3i33+3i300000−1−i321+i320−ζ7−ζ13ζ7+ζ13−3+3i33−3i300000−1+i321−i320−ζ5−ζ23ζ5+ζ23-6600000-110−i2i23+3i3−3−3i3000001+i32−1−i320ζ7+ζ13−ζ7−ζ133−3i3−3+3i3000001−i32−1+i320ζ5+ζ23−ζ5−ζ23

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