Finite Group Databasebeta

← Group #13048613

Character table — Group #13048613

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224666666991212121212181818181818181818363636361122246666669912121212121818181818181818183636363611222466666699121212121218181818181818181836363636
order1223663366662236666222446666661212366366336666663666666612126666661212366366336666663666666612126666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ3111111111111-1-111111-11-11-1-1-1-1-11-11-1111111111111-1-111111-11-11-1-1-1-1-11-11-1111111111111-1-111111-11-11-1-1-1-1-11-11-1
χ4111111111111-1-111111-1-11-11-1-1-1-1-11-11111111111111-1-111111-1-11-11-1-1-1-1-11-11111111111111-1-111111-1-11-11-1-1-1-1-11-11
χ511-111-1111-1-11111-11-1-1-111-1-111-1-111-1-111-111-1111-1-11111-11-1-1-111-1-111-1-111-1-111-111-1111-1-11111-11-1-1-111-1-111-1-111-1-1
χ611-111-1111-1-11111-11-1-1-1-1-11111-1-1-1-11111-111-1111-1-11111-11-1-1-1-1-11111-1-1-1-11111-111-1111-1-11111-11-1-1-1-1-11111-1-1-1-111
χ711-111-1111-1-11-1-11-11-1-111-1-11-1-1111-1-1111-111-1111-1-11-1-11-11-1-111-1-11-1-1111-1-1111-111-1111-1-11-1-11-11-1-111-1-11-1-1111-1-11
χ811-111-1111-1-11-1-11-11-1-11-111-1-1-111-111-111-111-1111-1-11-1-11-11-1-11-111-1-1-111-111-111-111-1111-1-11-1-11-11-1-11-111-1-1-111-111-1
χ92222222-1-1-1-1222-12-1-1-120000-1-1-1-100002222222-1-1-1-1222-12-1-1-120000-1-1-1-100002222222-1-1-1-1222-12-1-1-120000-1-1-1-10000
χ102222222-1-1-1-12-2-2-12-1-1-1-20000111100002222222-1-1-1-12-2-2-12-1-1-1-20000111100002222222-1-1-1-12-2-2-12-1-1-1-2000011110000
χ11222222-12222-100-1-1-1-1-10020200000-10-1222222-12222-100-1-1-1-1-10020200000-10-1222222-12222-100-1-1-1-1-10020200000-10-1
χ12222222-12222-100-1-1-1-1-100-20-200000101222222-12222-100-1-1-1-1-100-20-200000101222222-12222-100-1-1-1-1-100-20-200000101
χ1322-222-22-1-111222-1-2-111-20000-1-111000022-222-22-1-111222-1-2-111-20000-1-111000022-222-22-1-111222-1-2-111-20000-1-1110000
χ1422-222-22-1-1112-2-2-1-2-1112000011-1-1000022-222-22-1-1112-2-2-1-2-1112000011-1-1000022-222-22-1-1112-2-2-1-2-1112000011-1-10000
χ1522-222-2-122-2-2-100-11-1110020-200000-10122-222-2-122-2-2-100-11-1110020-200000-10122-222-2-122-2-2-100-11-1110020-200000-101
χ1622-222-2-122-2-2-100-11-11100-2020000010-122-222-2-122-2-2-100-11-11100-2020000010-122-222-2-122-2-2-100-11-11100-2020000010-1
χ172-202-2022-200-22-220-200000002-20000002-202-2022-200-22-220-200000002-20000002-202-2022-200-22-220-200000002-2000000
χ182-202-2022-200-2-2220-20000000-220000002-202-2022-200-2-2220-20000000-220000002-202-2022-200-2-2220-20000000-22000000
χ192-202-202-11i3−i3-22-2-101i3−i300000-11i3−i300002-202-202-11i3−i3-22-2-101i3−i300000-11i3−i300002-202-202-11i3−i3-22-2-101i3−i300000-11i3−i30000
χ202-202-202-11i3−i3-2-22-101i3−i3000001-1−i3i300002-202-202-11i3−i3-2-22-101i3−i3000001-1−i3i300002-202-202-11i3−i3-2-22-101i3−i3000001-1−i3i30000
χ212-202-202-11−i3i3-22-2-101−i3i300000-11−i3i300002-202-202-11−i3i3-22-2-101−i3i300000-11−i3i300002-202-202-11−i3i3-22-2-101−i3i300000-11−i3i30000
χ222-202-202-11−i3i3-2-22-101−i3i3000001-1i3−i300002-202-202-11−i3i3-2-22-101−i3i3000001-1i3−i300002-202-202-11−i3i3-2-22-101−i3i3000001-1i3−i30000
χ23444444-2-2-2-2-2-2001-21110000000000000444444-2-2-2-2-2-2001-21110000000000000444444-2-2-2-2-2-2001-21110000000000000
χ2444-444-4-2-2-222-200121-1-1000000000000044-444-4-2-2-222-200121-1-1000000000000044-444-4-2-2-222-200121-1-10000000000000
χ254-404-40-24-400200-2020000000000000004-404-40-24-400200-2020000000000000004-404-40-24-400200-202000000000000000
χ264-404-40-2-222i3−2i320010-1−i3i300000000000004-404-40-2-222i3−2i320010-1−i3i300000000000004-404-40-2-222i3−2i320010-1−i3i30000000000000
χ274-404-40-2-22−2i32i320010-1i3−i300000000000004-404-40-2-22−2i32i320010-1i3−i300000000000004-404-40-2-22−2i32i320010-1i3−i30000000000000
χ28666-3-3-30000000000000020200000-10-10666-3-3-30000000000000020200000-10-10666-3-3-30000000000000020200000-10-10
χ29666-3-3-300000000000000-20-2000001010666-3-3-300000000000000-20-2000001010666-3-3-300000000000000-20-2000001010
χ3066-6-3-330000000000000020-200000-101066-6-3-330000000000000020-200000-101066-6-3-330000000000000020-200000-1010
χ3166-6-3-3300000000000000-2020000010-1066-6-3-3300000000000000-2020000010-1066-6-3-3300000000000000-2020000010-10
χ3212-120-6600000000000000000000000000012-120-6600000000000000000000000000012-120-66000000000000000000000000000
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
χ3411111111111111111111-1-1-1-11111-1-1-1-1−1+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+i321−i321−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−i32−1−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−i32−1−i32−1−i321+i321+i321+i321+i32
χ35111111111111-1-111111-11-11-1-1-1-1-11-11-1−1+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+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ36111111111111-1-111111-1-11-11-1-1-1-1-11-11−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ3711-111-1111-1-11111-11-1-1-111-1-111-1-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3811-111-1111-1-11111-11-1-1-1-1-11111-1-1-1-111−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3911-111-1111-1-11-1-11-11-1-111-1-11-1-1111-1-11−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ4011-111-1111-1-11-1-11-11-1-11-111-1-1-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ412222222-1-1-1-1222-12-1-1-120000-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i300001−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i300001+i321+i321+i321+i320000
χ422222222-1-1-1-12-2-2-12-1-1-1-2000011110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i31−i31−i32−1+i31−i321−i321−i321−i30000−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i31+i31+i32−1−i31+i321+i321+i321+i30000−1−i32−1−i32−1−i32−1−i320000
χ43222222-12222-100-1-1-1-1-10020200000-10-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i321−i321−i3200−1+i30−1+i3000001−i3201−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i321+i321+i3200−1−i30−1−i3000001+i3201+i32
χ44222222-12222-100-1-1-1-1-100-20-200000101−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i321−i321−i32001−i301−i300000−1+i320−1+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i321+i321+i32001+i301+i300000−1−i320−1−i32
χ4522-222-22-1-111222-1-2-111-20000-1-1110000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i300001−i321−i32−1+i32−1+i320000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i300001+i321+i32−1−i32−1−i320000
χ4622-222-22-1-1112-2-2-1-2-1112000011-1-10000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i31−i31−i321−i31−i32−1+i32−1+i32−1+i30000−1+i32−1+i321−i321−i320000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i31+i31+i321+i31+i32−1−i32−1−i32−1−i30000−1−i32−1−i321+i321+i320000
χ4722-222-2-122-2-2-100-11-1110020-200000-101−1+i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i3−1+i31−i31−i31−i32001−i32−1+i321−i32−1+i32−1+i3200−1+i301−i3000001−i320−1+i32−1−i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i3−1−i31+i31+i31+i32001+i32−1−i321+i32−1−i32−1−i3200−1−i301+i3000001+i320−1−i32
χ4822-222-2-122-2-2-100-11-11100-2020000010-1−1+i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i3−1+i31−i31−i31−i32001−i32−1+i321−i32−1+i32−1+i32001−i30−1+i300000−1+i3201−i32−1−i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i3−1−i31+i31+i31+i32001+i32−1−i321+i32−1−i32−1−i32001+i30−1−i300000−1−i3201+i32
χ492-202-2022-200-22-220-200000002-2000000−1+i31−i30−1+i31−i30−1+i3−1+i31−i3001−i3−1+i31−i3−1+i301−i30000000−1+i31−i3000000−1−i31+i30−1−i31+i30−1−i3−1−i31+i3001+i3−1−i31+i3−1−i301+i30000000−1−i31+i3000000
χ502-202-2022-200-2-2220-20000000-22000000−1+i31−i30−1+i31−i30−1+i3−1+i31−i3001−i31−i3−1+i3−1+i301−i300000001−i3−1+i3000000−1−i31+i30−1−i31+i30−1−i3−1−i31+i3001+i31+i3−1−i3−1−i301+i300000001+i3−1−i3000000
χ512-202-202-11i3−i3-22-2-101i3−i300000-11i3−i30000−1+i31−i30−1+i31−i30−1+i31−i32−1+i32−3−i323+i321−i3−1+i31−i31−i320−1+i32−3−i323+i32000001−i32−1+i32−3−i323+i320000−1−i31+i30−1−i31+i30−1−i31+i32−1−i323−i32−3+i321+i3−1−i31+i31+i320−1−i323−i32−3+i32000001+i32−1−i323−i32−3+i320000
χ522-202-202-11i3−i3-2-22-101i3−i3000001-1−i3i30000−1+i31−i30−1+i31−i30−1+i31−i32−1+i32−3−i323+i321−i31−i3−1+i31−i320−1+i32−3−i323+i3200000−1+i321−i323+i32−3−i320000−1−i31+i30−1−i31+i30−1−i31+i32−1−i323−i32−3+i321+i31+i3−1−i31+i320−1−i323−i32−3+i3200000−1−i321+i32−3+i323−i320000
χ532-202-202-11−i3i3-22-2-101−i3i300000-11−i3i30000−1+i31−i30−1+i31−i30−1+i31−i32−1+i323+i32−3−i321−i3−1+i31−i31−i320−1+i323+i32−3−i32000001−i32−1+i323+i32−3−i320000−1−i31+i30−1−i31+i30−1−i31+i32−1−i32−3+i323−i321+i3−1−i31+i31+i320−1−i32−3+i323−i32000001+i32−1−i32−3+i323−i320000
χ542-202-202-11−i3i3-2-22-101−i3i3000001-1i3−i30000−1+i31−i30−1+i31−i30−1+i31−i32−1+i323+i32−3−i321−i31−i3−1+i31−i320−1+i323+i32−3−i3200000−1+i321−i32−3−i323+i320000−1−i31+i30−1−i31+i30−1−i31+i32−1−i32−3+i323−i321+i31+i3−1−i31+i320−1−i32−3+i323−i3200000−1−i321+i323−i32−3+i320000
χ55444444-2-2-2-2-2-2001-21110000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i300−1+i321−i3−1+i32−1+i32−1+i320000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i300−1−i321+i3−1−i32−1−i32−1−i320000000000000
χ5644-444-4-2-2-222-200121-1-10000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i31−i31−i31−i3−1+i3−1+i31−i300−1+i32−1+i3−1+i321−i321−i320000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i31+i31+i31+i3−1−i3−1−i31+i300−1−i32−1−i3−1−i321+i321+i320000000000000
χ574-404-40-24-400200-202000000000000000−2+2i32−2i30−2+2i32−2i301−i3−2+2i32−2i300−1+i3001−i30−1+i3000000000000000−2−2i32+2i30−2−2i32+2i301+i3−2−2i32+2i300−1−i3001+i30−1−i3000000000000000
χ584-404-40-2-222i3−2i320010-1−i3i30000000000000−2+2i32−2i30−2+2i32−2i301−i31−i3−1+i3−3−i33+i3−1+i300−1+i3201−i323+i32−3−i320000000000000−2−2i32+2i30−2−2i32+2i301+i31+i3−1−i33−i3−3+i3−1−i300−1−i3201+i32−3+i323−i320000000000000
χ594-404-40-2-22−2i32i320010-1i3−i30000000000000−2+2i32−2i30−2+2i32−2i301−i31−i3−1+i33+i3−3−i3−1+i300−1+i3201−i32−3−i323+i320000000000000−2−2i32+2i30−2−2i32+2i301+i31+i3−1−i3−3+i33−i3−1−i300−1−i3201+i323−i32−3+i320000000000000
χ60666-3-3-30000000000000020200000-10-10−3+3i3−3+3i3−3+3i33−3i323−3i323−3i3200000000000000−1+i30−1+i3000001−i3201−i320−3−3i3−3−3i3−3−3i33+3i323+3i323+3i3200000000000000−1−i30−1−i3000001+i3201+i320
χ61666-3-3-300000000000000-20-2000001010−3+3i3−3+3i3−3+3i33−3i323−3i323−3i32000000000000001−i301−i300000−1+i320−1+i320−3−3i3−3−3i3−3−3i33+3i323+3i323+3i32000000000000001+i301+i300000−1−i320−1−i320
χ6266-6-3-330000000000000020-200000-1010−3+3i3−3+3i33−3i33−3i323−3i32−3+3i3200000000000000−1+i301−i3000001−i320−1+i320−3−3i3−3−3i33+3i33+3i323+3i32−3−3i3200000000000000−1−i301+i3000001+i320−1−i320
χ6366-6-3-3300000000000000-2020000010-10−3+3i3−3+3i33−3i33−3i323−3i32−3+3i32000000000000001−i30−1+i300000−1+i3201−i320−3−3i3−3−3i33+3i33+3i323+3i32−3−3i32000000000000001+i30−1−i300000−1−i3201+i320
χ6412-120-66000000000000000000000000000−6+6i36−6i303−3i3−3+3i3000000000000000000000000000−6−6i36+6i303+3i3−3−3i3000000000000000000000000000
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
χ6611111111111111111111-1-1-1-11111-1-1-1-1−1−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−i321+i321+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+i32−1+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+i32−1+i32−1+i321−i321−i321−i321−i32
χ67111111111111-1-111111-11-11-1-1-1-1-11-11-1−1−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−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ68111111111111-1-111111-1-11-11-1-1-1-1-11-11−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ6911-111-1111-1-11111-11-1-1-111-1-111-1-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ7011-111-1111-1-11111-11-1-1-1-1-11111-1-1-1-111−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ7111-111-1111-1-11-1-11-11-1-111-1-11-1-1111-1-11−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ7211-111-1111-1-11-1-11-11-1-11-111-1-1-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ732222222-1-1-1-1222-12-1-1-120000-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i300001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i300001−i321−i321−i321−i320000
χ742222222-1-1-1-12-2-2-12-1-1-1-2000011110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i31+i31+i32−1−i31+i321+i321+i321+i30000−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i31−i31−i32−1+i31−i321−i321−i321−i30000−1+i32−1+i32−1+i32−1+i320000
χ75222222-12222-100-1-1-1-1-10020200000-10-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i321+i321+i3200−1−i30−1−i3000001+i3201+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i321−i321−i3200−1+i30−1+i3000001−i3201−i32
χ76222222-12222-100-1-1-1-1-100-20-200000101−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i321+i321+i32001+i301+i300000−1−i320−1−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i321−i321−i32001−i301−i300000−1+i320−1+i32
χ7722-222-22-1-111222-1-2-111-20000-1-1110000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i300001+i321+i32−1−i32−1−i320000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i300001−i321−i32−1+i32−1+i320000
χ7822-222-22-1-1112-2-2-1-2-1112000011-1-10000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i31+i31+i321+i31+i32−1−i32−1−i32−1−i30000−1−i32−1−i321+i321+i320000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i31−i31−i321−i31−i32−1+i32−1+i32−1+i30000−1+i32−1+i321−i321−i320000
χ7922-222-2-122-2-2-100-11-1110020-200000-101−1−i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i3−1−i31+i31+i31+i32001+i32−1−i321+i32−1−i32−1−i3200−1−i301+i3000001+i320−1−i32−1+i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i3−1+i31−i31−i31−i32001−i32−1+i321−i32−1+i32−1+i3200−1+i301−i3000001−i320−1+i32
χ8022-222-2-122-2-2-100-11-11100-2020000010-1−1−i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i3−1−i31+i31+i31+i32001+i32−1−i321+i32−1−i32−1−i32001+i30−1−i300000−1−i3201+i32−1+i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i3−1+i31−i31−i31−i32001−i32−1+i321−i32−1+i32−1+i32001−i30−1+i300000−1+i3201−i32
χ812-202-2022-200-22-220-200000002-2000000−1−i31+i30−1−i31+i30−1−i3−1−i31+i3001+i3−1−i31+i3−1−i301+i30000000−1−i31+i3000000−1+i31−i30−1+i31−i30−1+i3−1+i31−i3001−i3−1+i31−i3−1+i301−i30000000−1+i31−i3000000
χ822-202-2022-200-2-2220-20000000-22000000−1−i31+i30−1−i31+i30−1−i3−1−i31+i3001+i31+i3−1−i3−1−i301+i300000001+i3−1−i3000000−1+i31−i30−1+i31−i30−1+i3−1+i31−i3001−i31−i3−1+i3−1+i301−i300000001−i3−1+i3000000
χ832-202-202-11i3−i3-22-2-101i3−i300000-11i3−i30000−1−i31+i30−1−i31+i30−1−i31+i32−1−i323−i32−3+i321+i3−1−i31+i31+i320−1−i323−i32−3+i32000001+i32−1−i323−i32−3+i320000−1+i31−i30−1+i31−i30−1+i31−i32−1+i32−3−i323+i321−i3−1+i31−i31−i320−1+i32−3−i323+i32000001−i32−1+i32−3−i323+i320000
χ842-202-202-11i3−i3-2-22-101i3−i3000001-1−i3i30000−1−i31+i30−1−i31+i30−1−i31+i32−1−i323−i32−3+i321+i31+i3−1−i31+i320−1−i323−i32−3+i3200000−1−i321+i32−3+i323−i320000−1+i31−i30−1+i31−i30−1+i31−i32−1+i32−3−i323+i321−i31−i3−1+i31−i320−1+i32−3−i323+i3200000−1+i321−i323+i32−3−i320000
χ852-202-202-11−i3i3-22-2-101−i3i300000-11−i3i30000−1−i31+i30−1−i31+i30−1−i31+i32−1−i32−3+i323−i321+i3−1−i31+i31+i320−1−i32−3+i323−i32000001+i32−1−i32−3+i323−i320000−1+i31−i30−1+i31−i30−1+i31−i32−1+i323+i32−3−i321−i3−1+i31−i31−i320−1+i323+i32−3−i32000001−i32−1+i323+i32−3−i320000
χ862-202-202-11−i3i3-2-22-101−i3i3000001-1i3−i30000−1−i31+i30−1−i31+i30−1−i31+i32−1−i32−3+i323−i321+i31+i3−1−i31+i320−1−i32−3+i323−i3200000−1−i321+i323−i32−3+i320000−1+i31−i30−1+i31−i30−1+i31−i32−1+i323+i32−3−i321−i31−i3−1+i31−i320−1+i323+i32−3−i3200000−1+i321−i32−3−i323+i320000
χ87444444-2-2-2-2-2-2001-21110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i300−1−i321+i3−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i300−1+i321−i3−1+i32−1+i32−1+i320000000000000
χ8844-444-4-2-2-222-200121-1-10000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i31+i31+i31+i3−1−i3−1−i31+i300−1−i32−1−i3−1−i321+i321+i320000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i31−i31−i31−i3−1+i3−1+i31−i300−1+i32−1+i3−1+i321−i321−i320000000000000
χ894-404-40-24-400200-202000000000000000−2−2i32+2i30−2−2i32+2i301+i3−2−2i32+2i300−1−i3001+i30−1−i3000000000000000−2+2i32−2i30−2+2i32−2i301−i3−2+2i32−2i300−1+i3001−i30−1+i3000000000000000
χ904-404-40-2-222i3−2i320010-1−i3i30000000000000−2−2i32+2i30−2−2i32+2i301+i31+i3−1−i33−i3−3+i3−1−i300−1−i3201+i32−3+i323−i320000000000000−2+2i32−2i30−2+2i32−2i301−i31−i3−1+i3−3−i33+i3−1+i300−1+i3201−i323+i32−3−i320000000000000
χ914-404-40-2-22−2i32i320010-1i3−i30000000000000−2−2i32+2i30−2−2i32+2i301+i31+i3−1−i3−3+i33−i3−1−i300−1−i3201+i323−i32−3+i320000000000000−2+2i32−2i30−2+2i32−2i301−i31−i3−1+i33+i3−3−i3−1+i300−1+i3201−i32−3−i323+i320000000000000
χ92666-3-3-30000000000000020200000-10-10−3−3i3−3−3i3−3−3i33+3i323+3i323+3i3200000000000000−1−i30−1−i3000001+i3201+i320−3+3i3−3+3i3−3+3i33−3i323−3i323−3i3200000000000000−1+i30−1+i3000001−i3201−i320
χ93666-3-3-300000000000000-20-2000001010−3−3i3−3−3i3−3−3i33+3i323+3i323+3i32000000000000001+i301+i300000−1−i320−1−i320−3+3i3−3+3i3−3+3i33−3i323−3i323−3i32000000000000001−i301−i300000−1+i320−1+i320
χ9466-6-3-330000000000000020-200000-1010−3−3i3−3−3i33+3i33+3i323+3i32−3−3i3200000000000000−1−i301+i3000001+i320−1−i320−3+3i3−3+3i33−3i33−3i323−3i32−3+3i3200000000000000−1+i301−i3000001−i320−1+i320
χ9566-6-3-3300000000000000-2020000010-10−3−3i3−3−3i33+3i33+3i323+3i32−3−3i32000000000000001+i30−1−i300000−1−i3201+i320−3+3i3−3+3i33−3i33−3i323−3i32−3+3i32000000000000001−i30−1+i300000−1+i3201−i320
χ9612-120-66000000000000000000000000000−6−6i36+6i303+3i3−3−3i3000000000000000000000000000−6+6i36−6i303−3i3−3+3i3000000000000000000000000000

Here i is the imaginary unit (i² = −1).