Finite Group Databasebeta

← Group #10591922

Character table — Group #10591922

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444444488888121212122424112222222444444444488888121212122424112222222444444444488888121212122424
order122344612122444612121212126812242422244836631212612126121212612121212126241224246661212243663121261212612121261212121212624122424666121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ311111111111-1-111-1-1-1-11-11-1-11111-1-111111111111-1-111-1-1-1-11-11-1-11111-1-111111111111-1-111-1-1-1-11-11-1-11111-1-1
χ411111111111-1-111-1-1-1-11-11-1-1-1-1-1-11111111111111-1-111-1-1-1-11-11-1-1-1-1-1-11111111111111-1-111-1-1-1-11-11-1-1-1-1-1-111
χ5111111111-1-111111111-1-1-1-1-111-1-11-1111111111-1-111111111-1-1-1-1-111-1-11-1111111111-1-111111111-1-1-1-1-111-1-11-1
χ6111111111-1-111111111-1-1-1-1-1-1-111-11111111111-1-111111111-1-1-1-1-1-1-111-11111111111-1-111111111-1-1-1-1-1-1-111-11
χ7111111111-1-1-1-111-1-1-1-1-11-11111-1-1-11111111111-1-1-1-111-1-1-1-1-11-11111-1-1-11111111111-1-1-1-111-1-1-1-1-11-11111-1-1-11
χ8111111111-1-1-1-111-1-1-1-1-11-111-1-1111-1111111111-1-1-1-111-1-1-1-1-11-111-1-1111-1111111111-1-1-1-111-1-1-1-1-11-111-1-1111-1
χ92222-2-22-2-200002-20000000002-200002222-2-22-2-200002-20000000002-200002222-2-22-2-200002-20000000002-20000
χ102222-2-22-2-200002-2000000000-2200002222-2-22-2-200002-2000000000-2200002222-2-22-2-200002-2000000000-220000
χ11222-122-1-1-12222-1-1-1-1-1-1-12-1-1-1000000222-122-1-1-12222-1-1-1-1-1-1-12-1-1-1000000222-122-1-1-12222-1-1-1-1-1-1-12-1-1-1000000
χ12222-122-1-1-122-2-2-1-11111-1-2-111000000222-122-1-1-122-2-2-1-11111-1-2-111000000222-122-1-1-122-2-2-1-11111-1-2-111000000
χ13222-122-1-1-1-2-222-1-1-1-1-1-11-2111000000222-122-1-1-1-2-222-1-1-1-1-1-11-2111000000222-122-1-1-1-2-222-1-1-1-1-1-11-2111000000
χ14222-122-1-1-1-2-2-2-2-1-11111121-1-1000000222-122-1-1-1-2-2-2-2-1-11111121-1-1000000222-122-1-1-1-2-2-2-2-1-11111121-1-1000000
χ1522-222-22220000-2-2000000000002-20022-222-22220000-2-2000000000002-20022-222-22220000-2-2000000000002-200
χ1622-222-22220000-2-200000000000-220022-222-22220000-2-200000000000-220022-222-22220000-2-200000000000-2200
χ1722-22-222-2-22-200-22000020-20000000022-22-222-2-22-200-22000020-20000000022-22-222-2-22-200-22000020-200000000
χ1822-22-222-2-2-2200-220000-2020000000022-22-222-2-2-2200-220000-2020000000022-22-222-2-2-2200-220000-20200000000
χ1922-2-1-22-1112-2001-133−3−3-1013−300000022-2-1-22-1112-2001-133−3−3-1013−300000022-2-1-22-1112-2001-133−3−3-1013−3000000
χ2022-2-1-22-1112-2001-1−3−333-101−3300000022-2-1-22-1112-2001-1−3−333-101−3300000022-2-1-22-1112-2001-1−3−333-101−33000000
χ2122-2-1-22-111-22001-133−3−310-1−3300000022-2-1-22-111-22001-133−3−310-1−3300000022-2-1-22-111-22001-133−3−310-1−33000000
χ2222-2-1-22-111-22001-1−3−33310-13−300000022-2-1-22-111-22001-1−3−33310-13−300000022-2-1-22-111-22001-1−3−33310-13−3000000
χ23444-2-4-4-2220000-22000000000000000444-2-4-4-2220000-22000000000000000444-2-4-4-2220000-22000000000000000
χ2444-4-24-4-2-2-200002200000000000000044-4-24-4-2-2-200002200000000000000044-4-24-4-2-2-2000022000000000000000
χ254-40400-400002i−2i002i−2i2i−2i000000000004-40400-400002i−2i002i−2i2i−2i000000000004-40400-400002i−2i002i−2i2i−2i00000000000
χ264-40400-40000−2i2i00−2i2i−2i2i000000000004-40400-40000−2i2i00−2i2i−2i2i000000000004-40400-40000−2i2i00−2i2i−2i2i00000000000
χ274-40-200223−23002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000004-40-200223−23002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000004-40-200223−23002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000
χ284-40-200223−2300−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000004-40-200223−2300−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000004-40-200223−2300−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000
χ294-40-2002−2323002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000004-40-2002−2323002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000004-40-2002−2323002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000
χ304-40-2002−232300−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000004-40-2002−232300−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000004-40-2002−232300−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ32111111111111111111111111-1-1-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32
χ3311111111111-1-111-1-1-1-11-11-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3411111111111-1-111-1-1-1-11-11-1-1-1-1-1-111−1+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+i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ35111111111-1-111111111-1-1-1-1-111-1-11-1−1+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+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ36111111111-1-111111111-1-1-1-1-1-1-111-11−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ37111111111-1-1-1-111-1-1-1-1-11-11111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−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−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ38111111111-1-1-1-111-1-1-1-1-11-111-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ392222-2-22-2-200002-20000000002-20000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i3000000000−1+i31−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i3000000000−1−i31+i30000
χ402222-2-22-2-200002-2000000000-220000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i30000000001−i3−1+i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i30000000001+i3−1−i30000
χ41222-122-1-1-12222-1-1-1-1-1-1-12-1-1-1000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32000000
χ42222-122-1-1-122-2-2-1-11111-1-2-111000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i32−1−i32−1−i32000000
χ43222-122-1-1-1-2-222-1-1-1-1-1-11-2111000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i321−i3−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i321+i3−1−i32−1−i32−1−i32000000
χ44222-122-1-1-1-2-2-2-2-1-11111121-1-1000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i321−i321−i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i321+i321+i32000000
χ4522-222-22220000-2-2000000000002-200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i300000000000−1+i31−i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i300000000000−1−i31+i300
χ4622-222-22220000-2-200000000000-2200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i3000000000001−i3−1+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i3000000000001+i3−1−i300
χ4722-22-222-2-22-200-22000020-200000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3001−i3−1+i30000−1+i301−i300000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3001+i3−1−i30000−1−i301+i300000000
χ4822-22-222-2-2-2200-220000-20200000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3001−i3−1+i300001−i30−1+i300000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3001+i3−1−i300001+i30−1−i300000000
χ4922-2-1-22-1112-2001-133−3−3-1013−3000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i300−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i320−1+i32−ζ7−2ζ11ζ7+2ζ11000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i300−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i320−1−i322ζ7+ζ11−2ζ7−ζ11000000
χ5022-2-1-22-1112-2001-1−3−333-101−33000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i300−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i320−1+i32ζ7+2ζ11−ζ7−2ζ11000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i300−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i320−1−i32−2ζ7−ζ112ζ7+ζ11000000
χ5122-2-1-22-111-22001-133−3−310-1−33000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i300−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i3201−i32ζ7+2ζ11−ζ7−2ζ11000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i300−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i3201+i32−2ζ7−ζ112ζ7+ζ11000000
χ5222-2-1-22-111-22001-1−3−33310-13−3000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i300−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i3201−i32−ζ7−2ζ11ζ7+2ζ11000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i300−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i3201+i322ζ7+ζ11−2ζ7−ζ11000000
χ53444-2-4-4-2220000-22000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i3−1+i3−1+i300001−i3−1+i3000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i3−1−i3−1−i300001+i3−1−i3000000000000000
χ5444-4-24-4-2-2-2000022000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i31−i31−i30000−1+i3−1+i3000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i31+i31+i30000−1−i3−1−i3000000000000000
χ554-40400-400002i−2i002i−2i2i−2i00000000000−2+2i32−2i30−2+2i3002−2i300002ζ7−2ζ7002ζ7−2ζ72ζ7−2ζ700000000000−2−2i32+2i30−2−2i3002+2i300002ζ11−2ζ11002ζ11−2ζ112ζ11−2ζ1100000000000
χ564-40400-40000−2i2i00−2i2i−2i2i00000000000−2+2i32−2i30−2+2i3002−2i30000−2ζ72ζ700−2ζ72ζ7−2ζ72ζ700000000000−2−2i32+2i30−2−2i3002+2i30000−2ζ112ζ1100−2ζ112ζ11−2ζ112ζ1100000000000
χ574-40-200223−23002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11002ζ7−2ζ7002ζ2−ζ7+ζ10−2ζ2+ζ7−ζ10−2ζ2−ζ7−ζ102ζ2+ζ7+ζ1000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11002ζ11−2ζ1100−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ11ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ1100000000000
χ584-40-200223−2300−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ1100−2ζ72ζ700−2ζ2+ζ7−ζ102ζ2−ζ7+ζ102ζ2+ζ7+ζ10−2ζ2−ζ7−ζ1000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ1100−2ζ112ζ1100ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ11−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ1100000000000
χ594-40-2002−2323002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11002ζ7−2ζ700−2ζ2−ζ7−ζ102ζ2+ζ7+ζ102ζ2−ζ7+ζ10−2ζ2+ζ7−ζ1000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11002ζ11−2ζ1100ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ11−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ1100000000000
χ604-40-2002−232300−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ1100−2ζ72ζ7002ζ2+ζ7+ζ10−2ζ2−ζ7−ζ10−2ζ2+ζ7−ζ102ζ2−ζ7+ζ1000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ1100−2ζ112ζ1100−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ11ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ1100000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ62111111111111111111111111-1-1-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32
χ6311111111111-1-111-1-1-1-11-11-1-11111-1-1−1−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−i321+i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6411111111111-1-111-1-1-1-11-11-1-1-1-1-1-111−1−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−i321+i321+i321+i321+i32−1−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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ65111111111-1-111111111-1-1-1-1-111-1-11-1−1−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−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−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+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ66111111111-1-111111111-1-1-1-1-1-1-111-11−1−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ67111111111-1-1-1-111-1-1-1-1-11-11111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+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+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ68111111111-1-1-1-111-1-1-1-1-11-111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ692222-2-22-2-200002-20000000002-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i3000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i3000000000−1+i31−i30000
χ702222-2-22-2-200002-2000000000-220000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i30000000001+i3−1−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i30000000001−i3−1+i30000
χ71222-122-1-1-12222-1-1-1-1-1-1-12-1-1-1000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32000000
χ72222-122-1-1-122-2-2-1-11111-1-2-111000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i32−1+i32−1+i32000000
χ73222-122-1-1-1-2-222-1-1-1-1-1-11-2111000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i321+i3−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i321−i3−1+i32−1+i32−1+i32000000
χ74222-122-1-1-1-2-2-2-2-1-11111121-1-1000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i321+i321+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i321−i321−i32000000
χ7522-222-22220000-2-2000000000002-200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i300000000000−1−i31+i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i300000000000−1+i31−i300
χ7622-222-22220000-2-200000000000-2200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i3000000000001+i3−1−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i3000000000001−i3−1+i300
χ7722-22-222-2-22-200-22000020-200000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3001+i3−1−i30000−1−i301+i300000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3001−i3−1+i30000−1+i301−i300000000
χ7822-22-222-2-2-2200-220000-20200000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3001+i3−1−i300001+i30−1−i300000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3001−i3−1+i300001−i30−1+i300000000
χ7922-2-1-22-1112-2001-133−3−3-1013−3000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i300−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i320−1−i322ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i300−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i320−1+i32−ζ7−2ζ11ζ7+2ζ11000000
χ8022-2-1-22-1112-2001-1−3−333-101−33000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i300−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i320−1−i32−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i300−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i320−1+i32ζ7+2ζ11−ζ7−2ζ11000000
χ8122-2-1-22-111-22001-133−3−310-1−33000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i300−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i3201+i32−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i300−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i3201−i32ζ7+2ζ11−ζ7−2ζ11000000
χ8222-2-1-22-111-22001-1−3−33310-13−3000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i300−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i3201+i322ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i300−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i3201−i32−ζ7−2ζ11ζ7+2ζ11000000
χ83444-2-4-4-2220000-22000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i3−1−i3−1−i300001+i3−1−i3000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i3−1+i3−1+i300001−i3−1+i3000000000000000
χ8444-4-24-4-2-2-2000022000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i31+i31+i30000−1−i3−1−i3000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i31−i31−i30000−1+i3−1+i3000000000000000
χ854-40400-400002i−2i002i−2i2i−2i00000000000−2−2i32+2i30−2−2i3002+2i300002ζ11−2ζ11002ζ11−2ζ112ζ11−2ζ1100000000000−2+2i32−2i30−2+2i3002−2i300002ζ7−2ζ7002ζ7−2ζ72ζ7−2ζ700000000000
χ864-40400-40000−2i2i00−2i2i−2i2i00000000000−2−2i32+2i30−2−2i3002+2i30000−2ζ112ζ1100−2ζ112ζ11−2ζ112ζ1100000000000−2+2i32−2i30−2+2i3002−2i30000−2ζ72ζ700−2ζ72ζ7−2ζ72ζ700000000000
χ874-40-200223−23002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11002ζ11−2ζ1100−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ11ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ1100000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11002ζ7−2ζ7002ζ2−ζ7+ζ10−2ζ2+ζ7−ζ10−2ζ2−ζ7−ζ102ζ2+ζ7+ζ1000000000000
χ884-40-200223−2300−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ1100−2ζ112ζ1100ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ11−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ1100000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ1100−2ζ72ζ700−2ζ2+ζ7−ζ102ζ2−ζ7+ζ102ζ2+ζ7+ζ10−2ζ2−ζ7−ζ1000000000000
χ894-40-2002−2323002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11002ζ11−2ζ1100ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ11−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ1100000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11002ζ7−2ζ700−2ζ2−ζ7−ζ102ζ2+ζ7+ζ102ζ2−ζ7+ζ10−2ζ2+ζ7−ζ1000000000000
χ904-40-2002−232300−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ1100−2ζ112ζ1100−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ11ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ1100000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ1100−2ζ72ζ7002ζ2+ζ7+ζ10−2ζ2−ζ7−ζ10−2ζ2+ζ7−ζ102ζ2−ζ7+ζ1000000000000

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