Finite Group Databasebeta

← Group #13167612

Character table — Group #13167612

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112228888888899181818181818181818181872727272112228888888899181818181818181818181872727272112228888888899181818181818181818181872727272
order124883612122424242422444448888884444361224243612122424242466121212121224242424242412121212361224243612122424242466121212121224242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ3111111111111111-1-1-1-1111-1-1-1-111-1-1111111111111111-1-1-1-1111-1-1-1-111-1-1111111111111111-1-1-1-1111-1-1-1-111-1-1
χ4111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-111
χ5111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1
χ6111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11
χ7111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11
χ8111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1
χ92222222222222-2-20000-2-2-2000000002222222222222-2-20000-2-2-2000000002222222222222-2-20000-2-2-200000000
χ10222-2-22222-2-2-2-2-2-20000-22200000000222-2-22222-2-2-2-2-2-20000-22200000000222-2-22222-2-2-2-2-2-20000-22200000000
χ1122-20022-2-200002222-2-2-2000000000022-20022-2-200002222-2-2-2000000000022-20022-2-200002222-2-2-20000000000
χ1222-20022-2-2000022-2-222-2000000000022-20022-2-2000022-2-222-2000000000022-20022-2-2000022-2-222-20000000000
χ1322-20022-2-20000-2-2000020022-2-2000022-20022-2-20000-2-2000020022-2-2000022-20022-2-20000-2-2000020022-2-20000
χ1422-20022-2-20000-2-20000200-2-222000022-20022-2-20000-2-20000200-2-222000022-20022-2-20000-2-20000200-2-2220000
χ152-202−22-20022−2−22-22-20002−22−22−200002-202−22-20022−2−22-22-20002−22−22−200002-202−22-20022−2−22-22-20002−22−22−20000
χ162-202−22-20022−2−22-2-220002−2−22−2200002-202−22-20022−2−22-2-220002−2−22−2200002-202−22-20022−2−22-2-220002−2−22−220000
χ172-202−22-20022−2−2-22002-20−222−2−2200002-202−22-20022−2−2-22002-20−222−2−2200002-202−22-20022−2−2-22002-20−222−2−220000
χ182-202−22-20022−2−2-2200-220−22−222−200002-202−22-20022−2−2-2200-220−22−222−200002-202−22-20022−2−2-2200-220−22−222−20000
χ192-20−222-200−2−2222-22-2000−22−22−2200002-20−222-200−2−2222-22-2000−22−22−2200002-20−222-200−2−2222-22-2000−22−22−220000
χ202-20−222-200−2−2222-2-22000−222−22−200002-20−222-200−2−2222-2-22000−222−22−200002-20−222-200−2−2222-2-22000−222−22−20000
χ212-20−222-200−2−222-22002-202−2−222−200002-20−222-200−2−222-22002-202−2−222−200002-20−222-200−2−222-22002-202−2−222−20000
χ222-20−222-200−2−222-2200-2202−22−2−2200002-20−222-200−2−222-2200-2202−22−2−2200002-20−222-200−2−222-2200-2202−22−2−220000
χ2388888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-100000000000000000
χ24888-8-8-1-1-1-1111100000000000000000888-8-8-1-1-1-1111100000000000000000888-8-8-1-1-1-1111100000000000000000
χ2588-800-1-1113i−3i3i−3i0000000000000000088-800-1-1113i−3i3i−3i0000000000000000088-800-1-1113i−3i3i−3i00000000000000000
χ2688-800-1-111−3i3i−3i3i0000000000000000088-800-1-111−3i3i−3i3i0000000000000000088-800-1-111−3i3i−3i3i00000000000000000
χ278-8042−42-113i−3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000008-8042−42-113i−3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000008-8042−42-113i−3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000
χ288-8042−42-11−3i3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000008-8042−42-11−3i3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000008-8042−42-11−3i3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000
χ298-80−4242-113i−3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000008-80−4242-113i−3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000008-80−4242-113i−3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000
χ308-80−4242-11−3i3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000008-80−4242-11−3i3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000008-80−4242-11−3i3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000
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
χ3211111111111111111111111111-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ33111111111111111-1-1-1-1111-1-1-1-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ34111111111111111-1-1-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ35111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ36111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ37111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ38111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+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+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ392222222222222-2-20000-2-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i300000000
χ40222-2-22222-2-2-2-2-2-20000-22200000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i300001−i3−1+i3−1+i300000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i300001+i3−1−i3−1−i300000000
χ4122-20022-2-200002222-2-2-20000000000−1+i3−1+i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i3−1+i3−1+i31−i31−i31−i30000000000−1−i3−1−i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i3−1−i3−1−i31+i31+i31+i30000000000
χ4222-20022-2-2000022-2-222-20000000000−1+i3−1+i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000−1−i3−1−i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000
χ4322-20022-2-20000-2-2000020022-2-20000−1+i3−1+i31−i300−1+i3−1+i31−i31−i300001−i31−i30000−1+i300−1+i3−1+i31−i31−i30000−1−i3−1−i31+i300−1−i3−1−i31+i31+i300001+i31+i30000−1−i300−1−i3−1−i31+i31+i30000
χ4422-20022-2-20000-2-20000200-2-2220000−1+i3−1+i31−i300−1+i3−1+i31−i31−i300001−i31−i30000−1+i3001−i31−i3−1+i3−1+i30000−1−i3−1−i31+i300−1−i3−1−i31+i31+i300001+i31+i30000−1−i3001+i31+i3−1−i3−1−i30000
χ452-202−22-20022−2−22-22-20002−22−22−20000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i3−1+i31−i3000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i3−1−i31+i3000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000
χ462-202−22-20022−2−22-2-220002−2−22−220000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000
χ472-202−22-20022−2−2-22002-20−222−2−220000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i300−1+i31−i30−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i3−1−i300−1−i31+i30ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000
χ482-202−22-20022−2−2-2200-220−22−222−20000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i3001−i3−1+i30−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i3−1−i3001+i3−1−i30ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000
χ492-20−222-200−2−2222-22-2000−22−22−220000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i31−i3−1+i31−i3000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i3−1−i31+i3000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000
χ502-20−222-200−2−2222-2-22000−222−22−20000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i31−i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000
χ512-20−222-200−2−222-22002-202−2−222−20000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i3−1+i300−1+i31−i30ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i300−1−i31+i30−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000
χ522-20−222-200−2−222-2200-2202−22−2−220000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i3−1+i3001−i3−1+i30ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i3001+i3−1−i30−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000
χ5388888-1-1-1-1-1-1-1-100000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000
χ54888-8-8-1-1-1-1111100000000000000000−4+4i3−4+4i3−4+4i34−4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000−4−4i3−4−4i3−4−4i34+4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000
χ5588-800-1-1113i−3i3i−3i00000000000000000−4+4i3−4+4i34−4i3001−i321−i32−1+i32−1+i323ζ14−3ζ143ζ14−3ζ1400000000000000000−4−4i3−4−4i34+4i3001+i321+i32−1−i32−1−i323ζ22−3ζ223ζ22−3ζ2200000000000000000
χ5688-800-1-111−3i3i−3i3i00000000000000000−4+4i3−4+4i34−4i3001−i321−i32−1+i32−1+i32−3ζ143ζ14−3ζ143ζ1400000000000000000−4−4i3−4−4i34+4i3001+i321+i32−1−i32−1−i32−3ζ223ζ22−3ζ223ζ2200000000000000000
χ578-8042−42-113i−3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ231−i32−1+i323ζ14−3ζ14−2ζ5−ζ23ζ5+2ζ232ζ5+ζ23−ζ5−2ζ2300000000000000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ131+i32−1−i323ζ22−3ζ22−ζ7−2ζ132ζ7+ζ13ζ7+2ζ13−2ζ7−ζ1300000000000000000
χ588-8042−42-11−3i3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ231−i32−1+i32−3ζ143ζ14ζ5+2ζ23−2ζ5−ζ23−ζ5−2ζ232ζ5+ζ2300000000000000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ131+i32−1−i32−3ζ223ζ222ζ7+ζ13−ζ7−2ζ13−2ζ7−ζ13ζ7+2ζ1300000000000000000
χ598-80−4242-113i−3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ231−i32−1+i323ζ14−3ζ142ζ5+ζ23−ζ5−2ζ23−2ζ5−ζ23ζ5+2ζ2300000000000000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ131+i32−1−i323ζ22−3ζ22ζ7+2ζ13−2ζ7−ζ13−ζ7−2ζ132ζ7+ζ1300000000000000000
χ608-80−4242-11−3i3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ231−i32−1+i32−3ζ143ζ14−ζ5−2ζ232ζ5+ζ23ζ5+2ζ23−2ζ5−ζ2300000000000000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ131+i32−1−i32−3ζ223ζ22−2ζ7−ζ13ζ7+2ζ132ζ7+ζ13−ζ7−2ζ1300000000000000000
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
χ6211111111111111111111111111-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ63111111111111111-1-1-1-1111-1-1-1-111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ64111111111111111-1-1-1-1111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ65111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ66111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ67111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ68111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−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−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ692222222222222-2-20000-2-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i300000000
χ70222-2-22222-2-2-2-2-2-20000-22200000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i300001+i3−1−i3−1−i300000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i300001−i3−1+i3−1+i300000000
χ7122-20022-2-200002222-2-2-20000000000−1−i3−1−i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i3−1−i3−1−i31+i31+i31+i30000000000−1+i3−1+i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i3−1+i3−1+i31−i31−i31−i30000000000
χ7222-20022-2-2000022-2-222-20000000000−1−i3−1−i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000−1+i3−1+i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000
χ7322-20022-2-20000-2-2000020022-2-20000−1−i3−1−i31+i300−1−i3−1−i31+i31+i300001+i31+i30000−1−i300−1−i3−1−i31+i31+i30000−1+i3−1+i31−i300−1+i3−1+i31−i31−i300001−i31−i30000−1+i300−1+i3−1+i31−i31−i30000
χ7422-20022-2-20000-2-20000200-2-2220000−1−i3−1−i31+i300−1−i3−1−i31+i31+i300001+i31+i30000−1−i3001+i31+i3−1−i3−1−i30000−1+i3−1+i31−i300−1+i3−1+i31−i31−i300001−i31−i30000−1+i3001−i31−i3−1+i3−1+i30000
χ752-202−22-20022−2−22-22-20002−22−22−20000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i3−1−i31+i3000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i3−1+i31−i3000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ762-202−22-20022−2−22-2-220002−2−22−220000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ772-202−22-20022−2−2-22002-20−222−2−220000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i3−1−i300−1−i31+i30ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i300−1+i31−i30−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ782-202−22-20022−2−2-2200-220−22−222−20000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i3−1−i3001+i3−1−i30ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i3001−i3−1+i30−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ792-20−222-200−2−2222-22-2000−22−22−220000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i3−1−i31+i3000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i31−i3−1+i31−i3000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ802-20−222-200−2−2222-2-22000−222−22−20000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i31−i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ812-20−222-200−2−222-22002-202−2−222−20000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i300−1−i31+i30−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i3−1+i300−1+i31−i30ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ822-20−222-200−2−222-2200-2202−22−2−220000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i3001+i3−1−i30−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i3−1+i3001−i3−1+i30ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ8388888-1-1-1-1-1-1-1-100000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000
χ84888-8-8-1-1-1-1111100000000000000000−4−4i3−4−4i3−4−4i34+4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000−4+4i3−4+4i3−4+4i34−4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ8588-800-1-1113i−3i3i−3i00000000000000000−4−4i3−4−4i34+4i3001+i321+i32−1−i32−1−i323ζ22−3ζ223ζ22−3ζ2200000000000000000−4+4i3−4+4i34−4i3001−i321−i32−1+i32−1+i323ζ14−3ζ143ζ14−3ζ1400000000000000000
χ8688-800-1-111−3i3i−3i3i00000000000000000−4−4i3−4−4i34+4i3001+i321+i32−1−i32−1−i32−3ζ223ζ22−3ζ223ζ2200000000000000000−4+4i3−4+4i34−4i3001−i321−i32−1+i32−1+i32−3ζ143ζ14−3ζ143ζ1400000000000000000
χ878-8042−42-113i−3i2ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ131+i32−1−i323ζ22−3ζ22−ζ7−2ζ132ζ7+ζ13ζ7+2ζ13−2ζ7−ζ1300000000000000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ231−i32−1+i323ζ14−3ζ14−2ζ5−ζ23ζ5+2ζ232ζ5+ζ23−ζ5−2ζ2300000000000000000
χ888-8042−42-11−3i3i−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ131+i32−1−i32−3ζ223ζ222ζ7+ζ13−ζ7−2ζ13−2ζ7−ζ13ζ7+2ζ1300000000000000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ231−i32−1+i32−3ζ143ζ14ζ5+2ζ23−2ζ5−ζ23−ζ5−2ζ232ζ5+ζ2300000000000000000
χ898-80−4242-113i−3i−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ131+i32−1−i323ζ22−3ζ22ζ7+2ζ13−2ζ7−ζ13−ζ7−2ζ132ζ7+ζ1300000000000000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ231−i32−1+i323ζ14−3ζ142ζ5+ζ23−ζ5−2ζ23−2ζ5−ζ23ζ5+2ζ2300000000000000000
χ908-80−4242-11−3i3iζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ131+i32−1−i32−3ζ223ζ22−2ζ7−ζ13ζ7+2ζ132ζ7+ζ13−ζ7−2ζ1300000000000000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ231−i32−1+i32−3ζ143ζ14−ζ5−2ζ232ζ5+ζ23ζ5+2ζ23−2ζ5−ζ2300000000000000000

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