Finite Group Databasebeta

← Group #89002

Character table — Group #89002

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222266224444412123366666181811222226622444441212336666618181122222662244444121233666661818
order1234612122236312612126622646121222363126121266363126121266666126121266363126121266363126121266666126121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ3111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1
χ4111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11
χ522-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100
χ622-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100
χ72-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000
χ82-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300
χ92-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300
χ10111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111
χ12111-11-1-11-1111-11-1-11-1-1-1-11-111-11111-11-1-11-1111-11-1-11-1-1-1-11-111-11111-11-1-11-1111-11-1-11-1-1-1-11-111-11
χ13111-11-1-1-11111-11-1-1-11-1-1-11-1111-1111-11-1-1-11111-11-1-1-11-1-1-11-1111-1111-11-1-1-11111-11-1-1-11-1-1-11-1111-1
χ1422-12-1-1-10022-12-1-1-100-2-21-21110022-12-1-1-10022-12-1-1-100-2-21-21110022-12-1-1-10022-12-1-1-100-2-21-211100
χ1522-1-2-1110022-1-2-11100-2-2121-1-10022-1-2-1110022-1-2-11100-2-2121-1-10022-1-2-1110022-1-2-11100-2-2121-1-100
χ162-220-200002-220-20000-22-20200002-220-200002-220-20000-22-20200002-220-200002-220-20000-22-2020000
χ172-2-1013−3002-2-1013−300-2210-1−33002-2-1013−3002-2-1013−300-2210-1−33002-2-1013−3002-2-1013−300-2210-1−3300
χ182-2-101−33002-2-101−3300-2210-13−3002-2-101−33002-2-101−3300-2210-13−3002-2-101−33002-2-101−3300-2210-13−300
χ19222222222-1-1-1-1-1-1-1-1-1000000000222222222-1-1-1-1-1-1-1-1-1000000000222222222-1-1-1-1-1-1-1-1-1000000000
χ202222222-2-2-1-1-1-1-1-1-1110000000002222222-2-2-1-1-1-1-1-1-1110000000002222222-2-2-1-1-1-1-1-1-111000000000
χ21222-22-2-22-2-1-1-11-111-11000000000222-22-2-22-2-1-1-11-111-11000000000222-22-2-22-2-1-1-11-111-11000000000
χ22222-22-2-2-22-1-1-11-1111-1000000000222-22-2-2-22-1-1-11-1111-1000000000222-22-2-2-22-1-1-11-1111-1000000000
χ2344-24-2-2-200-2-21-21110000000000044-24-2-2-200-2-21-21110000000000044-24-2-2-200-2-21-211100000000000
χ2444-2-4-22200-2-2121-1-10000000000044-2-4-22200-2-2121-1-10000000000044-2-4-22200-2-2121-1-100000000000
χ254-440-40000-22-20200000000000004-440-40000-22-20200000000000004-440-40000-22-2020000000000000
χ264-4-20223−2300-2210-1−33000000000004-4-20223−2300-2210-1−33000000000004-4-20223−2300-2210-1−3300000000000
χ274-4-202−232300-2210-13−3000000000004-4-202−232300-2210-13−3000000000004-4-202−232300-2210-13−300000000000
χ28111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ291111111-1-11111111-1-11111111-1-1−1+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+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−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
χ30111-11-1-11-1111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ31111-11-1-1-11111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32
χ3222-12-1-1-10022-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200
χ3322-1-2-1110022-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200
χ342-220-200002-220-200002-220-20000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i30000
χ352-2-1013−3002-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100
χ362-2-101−33002-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100
χ37111111111111111111-1-1-1-1-1-1-1-1-1−1+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+i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ381111111-1-11111111-1-1-1-1-1-1-1-1-111−1+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−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ39111-11-1-11-1111-11-1-11-1-1-1-11-111-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ40111-11-1-1-11111-11-1-1-11-1-1-11-1111-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ4122-12-1-1-10022-12-1-1-100-2-21-211100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i32001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i32001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200
χ4222-1-2-1110022-1-2-11100-2-2121-1-100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i32001−i31−i3−1+i32−1+i3−1+i321−i321−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i32001+i31+i3−1−i32−1−i3−1−i321+i321+i3200
χ432-220-200002-220-20000-22-2020000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i300001−i3−1+i31−i30−1+i30000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i300001+i3−1−i31+i30−1−i30000
χ442-2-1013−3002-2-1013−300-2210-1−3300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100
χ452-2-101−33002-2-101−3300-2210-13−300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100
χ46222222222-1-1-1-1-1-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ472222222-2-2-1-1-1-1-1-1-111000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32000000000
χ48222-22-2-22-2-1-1-11-111-11000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32000000000
χ49222-22-2-2-22-1-1-11-1111-1000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32000000000
χ5044-24-2-2-200-2-21-211100000000000−2+2i3−2+2i31−i3−2+2i31−i31−i31−i3001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200000000000−2−2i3−2−2i31+i3−2−2i31+i31+i31+i3001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200000000000
χ5144-2-4-22200-2-2121-1-100000000000−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i3001−i31−i3−1+i32−1+i3−1+i321−i321−i3200000000000−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i3001+i31+i3−1−i32−1−i3−1−i321+i321+i3200000000000
χ524-440-40000-22-2020000000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i31−i30−1+i30000000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i31+i30−1−i30000000000000
χ534-4-20223−2300-2210-1−3300000000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100000000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100000000000
χ544-4-202−232300-2210-13−300000000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100000000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100000000000
χ55111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ561111111-1-11111111-1-11111111-1-1−1−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−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+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
χ57111-11-1-11-1111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ58111-11-1-1-11111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32
χ5922-12-1-1-10022-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200
χ6022-1-2-1110022-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200
χ612-220-200002-220-200002-220-20000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i30000
χ622-2-1013−3002-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100
χ632-2-101−33002-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100
χ64111111111111111111-1-1-1-1-1-1-1-1-1−1−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−i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ651111111-1-11111111-1-1-1-1-1-1-1-1-111−1−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+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ66111-11-1-11-1111-11-1-11-1-1-1-11-111-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ67111-11-1-1-11111-11-1-1-11-1-1-11-1111-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ6822-12-1-1-10022-12-1-1-100-2-21-211100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1−i3−1−i31+i32−1−i31+i321+i321+i32001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1+i3−1+i31−i32−1+i31−i321−i321−i32001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200
χ6922-1-2-1110022-1-2-11100-2-2121-1-100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i32001+i31+i3−1−i32−1−i3−1−i321+i321+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i32001−i31−i3−1+i32−1+i3−1+i321−i321−i3200
χ702-220-200002-220-20000-22-2020000−1−i31+i3−1−i301+i30000−1−i31+i3−1−i301+i300001+i3−1−i31+i30−1−i30000−1+i31−i3−1+i301−i30000−1+i31−i3−1+i301−i300001−i3−1+i31−i30−1+i30000
χ712-2-1013−3002-2-1013−300-2210-1−3300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100
χ722-2-101−33002-2-101−3300-2210-13−300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100
χ73222222222-1-1-1-1-1-1-1-1-1000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ742222222-2-2-1-1-1-1-1-1-111000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32000000000
χ75222-22-2-22-2-1-1-11-111-11000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32000000000
χ76222-22-2-2-22-1-1-11-1111-1000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32000000000
χ7744-24-2-2-200-2-21-211100000000000−2−2i3−2−2i31+i3−2−2i31+i31+i31+i3001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200000000000−2+2i3−2+2i31−i3−2+2i31−i31−i31−i3001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200000000000
χ7844-2-4-22200-2-2121-1-100000000000−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i3001+i31+i3−1−i32−1−i3−1−i321+i321+i3200000000000−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i3001−i31−i3−1+i32−1+i3−1+i321−i321−i3200000000000
χ794-440-40000-22-2020000000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i31+i30−1−i30000000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i31−i30−1+i30000000000000
χ804-4-20223−2300-2210-1−3300000000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100000000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100000000000
χ814-4-202−232300-2210-13−300000000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100000000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100000000000

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