Finite Group Databasebeta

← Group #13166784

Character table — Group #13166784

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222334666666121212122222224424666666121288883666331266666612121212666666121261266666612122424242436663312666666121212126666661212612666666121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ112-22-2220-22-2-2-22000000002-20000000000002−22−22-22-2220-22-2-2-22000000002-20000000000002−22−22-22-2220-22-2-2-22000000002-20000000000002−22−2
χ122-22-2220-22-2-2-22000000002-2000000000000−22−222-22-2220-22-2-2-22000000002-2000000000000−22−222-22-2220-22-2-2-22000000002-2000000000000−22−22
χ132-22-2220-22-2-2-2200000000-220000000000002−2−222-22-2220-22-2-2-2200000000-220000000000002−2−222-22-2220-22-2-2-2200000000-220000000000002−2−22
χ142-22-2220-22-2-2-2200000000-22000000000000−222−22-22-2220-22-2-2-2200000000-22000000000000−222−22-22-2220-22-2-2-2200000000-22000000000000−222−2
χ152-2-22220-2-2-222-20000002-2002-20000002-20000002-2-22220-2-2-222-20000002-2002-20000002-20000002-2-22220-2-2-222-20000002-2002-20000002-2000000
χ162-2-22220-2-2-222-2000000-22002-2000000-220000002-2-22220-2-2-222-2000000-22002-2000000-220000002-2-22220-2-2-222-2000000-22002-2000000-22000000
χ172-2-22220-2-2-222-200002-20000-2200002-2000000002-2-22220-2-2-222-200002-20000-2200002-2000000002-2-22220-2-2-222-200002-20000-2200002-200000000
χ182-2-22220-2-2-222-20000-220000-220000-22000000002-2-22220-2-2-222-20000-220000-220000-22000000002-2-22220-2-2-222-20000-220000-220000-2200000000
χ1944441-241-2-21-2111-2-20000000022-1-10000-1-1000044441-241-2-21-2111-2-20000000022-1-10000-1-1000044441-241-2-21-2111-2-20000000022-1-10000-1-10000
χ2044441-241-2-21-2111-2-200000000-2-211000011000044441-241-2-21-2111-2-200000000-2-211000011000044441-241-2-21-2111-2-200000000-2-2110000110000
χ2144441-2-41-2-21-21-1-122000000002-2-1-1000011000044441-2-41-2-21-21-1-122000000002-2-1-1000011000044441-2-41-2-21-21-1-122000000002-2-1-10000110000
χ2244441-2-41-2-21-21-1-12200000000-22110000-1-1000044441-2-41-2-21-21-1-12200000000-22110000-1-1000044441-2-41-2-21-21-1-12200000000-22110000-1-10000
χ234444-214-211-21-2-2-211222200000000-1-1-1-10000004444-214-211-21-2-2-211222200000000-1-1-1-10000004444-214-211-21-2-2-211222200000000-1-1-1-1000000
χ244444-214-211-21-2-2-211-2-2-2-20000000011110000004444-214-211-21-2-2-211-2-2-2-20000000011110000004444-214-211-21-2-2-211-2-2-2-2000000001111000000
χ254444-21-4-211-21-222-1-122-2-200000000-1-1110000004444-21-4-211-21-222-1-122-2-200000000-1-1110000004444-21-4-211-21-222-1-122-2-200000000-1-111000000
χ264444-21-4-211-21-222-1-1-2-2220000000011-1-10000004444-21-4-211-21-222-1-1-2-2220000000011-1-10000004444-21-4-211-21-222-1-1-2-2220000000011-1-1000000
χ2744-4-41-2012-2-12-13i−3i000000000000−i3i300003−3000044-4-41-2012-2-12-13i−3i000000000000−i3i300003−3000044-4-41-2012-2-12-13i−3i000000000000−i3i300003−30000
χ2844-4-41-2012-2-12-13i−3i000000000000i3−i30000−33000044-4-41-2012-2-12-13i−3i000000000000i3−i30000−33000044-4-41-2012-2-12-13i−3i000000000000i3−i30000−330000
χ2944-4-41-2012-2-12-1−3i3i000000000000−i3i30000−33000044-4-41-2012-2-12-1−3i3i000000000000−i3i30000−33000044-4-41-2012-2-12-1−3i3i000000000000−i3i30000−330000
χ3044-4-41-2012-2-12-1−3i3i000000000000i3−i300003−3000044-4-41-2012-2-12-1−3i3i000000000000i3−i300003−3000044-4-41-2012-2-12-1−3i3i000000000000i3−i300003−30000
χ3144-4-44404-44-4-4-40000000000000000000000000044-4-44404-44-4-4-40000000000000000000000000044-4-44404-44-4-4-400000000000000000000000000
χ324-4-44-2102-1-1-212003-32-22-200000000-11-110000004-4-44-2102-1-1-212003-32-22-200000000-11-110000004-4-44-2102-1-1-212003-32-22-200000000-11-11000000
χ334-4-44-2102-1-1-212003-3-22-22000000001-11-10000004-4-44-2102-1-1-212003-3-22-22000000001-11-10000004-4-44-2102-1-1-212003-3-22-22000000001-11-1000000
χ344-4-44-2102-1-1-21200-332-2-2200000000-111-10000004-4-44-2102-1-1-21200-332-2-2200000000-111-10000004-4-44-2102-1-1-21200-332-2-2200000000-111-1000000
χ354-4-44-2102-1-1-21200-33-222-2000000001-1-110000004-4-44-2102-1-1-21200-33-222-2000000001-1-110000004-4-44-2102-1-1-21200-33-222-2000000001-1-11000000
χ3688-8-8-420-4-224-240000000000000000000000000088-8-8-420-4-224-240000000000000000000000000088-8-8-420-4-224-2400000000000000000000000000
χ378-88-82-40-2-44-242000000000000000000000000008-88-82-40-2-44-242000000000000000000000000008-88-82-40-2-44-24200000000000000000000000000
χ388-88-8-42042-24-2-4000000000000000000000000008-88-8-42042-24-2-4000000000000000000000000008-88-8-42042-24-2-400000000000000000000000000
χ398-8-882-40-2442-4-2000000000000000000000000008-8-882-40-2442-4-2000000000000000000000000008-8-882-40-2442-4-200000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1−1+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+i32−1+i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ44111111-1111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ45111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ46111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ47111111-1111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ48222222222222222220000-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000
χ49222222-2222222-2-2-2-2000022-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i300000000000000
χ502-22-2220-22-2-2-22000000002-20000000000002−22−2−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300000000−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300000000−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ512-22-2220-22-2-2-22000000002-2000000000000−22−22−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300000000−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300000000−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13
χ522-22-2220-22-2-2-2200000000-220000000000002−2−22−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i3000000001−i3−1+i3000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i3000000001+i3−1−i3000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13
χ532-22-2220-22-2-2-2200000000-22000000000000−222−2−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i3000000001−i3−1+i3000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i3000000001+i3−1−i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13
χ542-2-22220-2-2-222-20000002-2002-20000002-2000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i3000000−1+i31−i300−1+i31−i3000000−1+i31−i3000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i3000000−1−i31+i300−1−i31+i3000000−1−i31+i3000000
χ552-2-22220-2-2-222-2000000-22002-2000000-22000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i30000001−i3−1+i300−1+i31−i30000001−i3−1+i3000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i30000001+i3−1−i300−1−i31+i30000001+i3−1−i3000000
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χ85111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ86111111-1111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+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+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ87222222222222222220000-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000
χ88222222-2222222-2-2-2-2000022-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i300000000000000
χ892-22-2220-22-2-2-22000000002-20000000000002−22−2−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300000000−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300000000−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ902-22-2220-22-2-2-22000000002-2000000000000−22−22−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300000000−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300000000−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ912-22-2220-22-2-2-2200000000-220000000000002−2−22−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i3000000001+i3−1−i3000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i3000000001−i3−1+i3000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23
χ922-22-2220-22-2-2-2200000000-22000000000000−222−2−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i3000000001+i3−1−i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i3000000001−i3−1+i3000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23
χ932-2-22220-2-2-222-20000002-2002-20000002-2000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i3000000−1−i31+i300−1−i31+i3000000−1−i31+i3000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i3000000−1+i31−i300−1+i31−i3000000−1+i31−i3000000
χ942-2-22220-2-2-222-2000000-22002-2000000-22000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i30000001+i3−1−i300−1−i31+i30000001+i3−1−i3000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i30000001−i3−1+i300−1+i31−i30000001−i3−1+i3000000
χ952-2-22220-2-2-222-200002-20000-2200002-200000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i30000−1−i31+i300001+i3−1−i30000−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i30000−1+i31−i300001−i3−1+i30000−1+i31−i300000000
χ962-2-22220-2-2-222-20000-220000-220000-2200000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i300001+i3−1−i300001+i3−1−i300001+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i300001−i3−1+i300001−i3−1+i300001−i3−1+i300000000
χ9744441-241-2-21-2111-2-20000000022-1-10000-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i300000000−1−i3−1−i31+i321+i3200001+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i300000000−1+i3−1+i31−i321−i3200001−i321−i320000
χ9844441-241-2-21-2111-2-200000000-2-2110000110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i3000000001+i31+i3−1−i32−1−i320000−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i3000000001−i31−i3−1+i32−1+i320000−1+i32−1+i320000
χ9944441-2-41-2-21-21-1-122000000002-2-1-10000110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i300000000−1−i31+i31+i321+i320000−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i300000000−1+i31−i31−i321−i320000−1+i32−1+i320000
χ10044441-2-41-2-21-21-1-12200000000-22110000-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i3000000001+i3−1−i3−1−i32−1−i3200001+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i3000000001−i3−1+i3−1+i32−1+i3200001−i321−i320000
χ1014444-214-211-21-2-2-211222200000000-1-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i32000000
χ1024444-214-211-21-2-2-211-2-2-2-2000000001111000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i321+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i321−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32000000
χ1034444-21-4-211-21-222-1-122-2-200000000-1-111000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3000000001+i321+i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3000000001−i321−i32−1+i32−1+i32000000
χ1044444-21-4-211-21-222-1-1-2-2220000000011-1-1000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i300000000−1−i32−1−i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i300000000−1+i32−1+i321−i321−i32000000
χ10544-4-41-2012-2-12-13i−3i000000000000−i3i300003−30000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i323ζ22−3ζ22000000000000−3+i323−i3200002ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i323ζ14−3ζ140000000000003+i32−3−i320000−ζ14−2ζ22ζ14+2ζ220000
χ10644-4-41-2012-2-12-13i−3i000000000000i3−i30000−330000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i323ζ22−3ζ220000000000003−i32−3+i320000−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i323ζ14−3ζ14000000000000−3−i323+i320000ζ14+2ζ22−ζ14−2ζ220000
χ10744-4-41-2012-2-12-1−3i3i000000000000−i3i30000−330000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i32−3ζ223ζ22000000000000−3+i323−i320000−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i32−3ζ143ζ140000000000003+i32−3−i320000ζ14+2ζ22−ζ14−2ζ220000
χ10844-4-41-2012-2-12-1−3i3i000000000000i3−i300003−30000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i32−3ζ223ζ220000000000003−i32−3+i3200002ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i32−3ζ143ζ14000000000000−3−i323+i320000−ζ14−2ζ22ζ14+2ζ220000
χ10944-4-44404-44-4-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i30−2−2i32+2i3−2−2i32+2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i30−2+2i32−2i3−2+2i32−2i32−2i32−2i300000000000000000000000000
χ1104-4-44-2102-1-1-212003-32-22-200000000-11-11000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i32−1−i31+i3−1−i31+i3000000001+i32−1−i321+i32−1−i32000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i32−1+i31−i3−1+i31−i3000000001−i32−1+i321−i32−1+i32000000
χ1114-4-44-2102-1-1-212003-3-22-22000000001-11-1000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i321+i3−1−i31+i3−1−i300000000−1−i321+i32−1−i321+i32000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i321−i3−1+i31−i3−1+i300000000−1+i321−i32−1+i321−i32000000
χ1124-4-44-2102-1-1-21200-332-2-2200000000-111-1000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i32−1−i31+i31+i3−1−i3000000001+i32−1−i32−1−i321+i32000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i32−1+i31−i31−i3−1+i3000000001−i32−1+i32−1+i321−i32000000
χ1134-4-44-2102-1-1-21200-33-222-2000000001-1-11000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i321+i3−1−i3−1−i31+i300000000−1−i321+i321+i32−1−i32000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i321−i3−1+i3−1+i31−i300000000−1+i321−i321−i32−1+i32000000
χ11488-8-8-420-4-224-2400000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i302+2i31+i3−1−i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i302−2i31−i3−1+i3−2+2i31−i3−2+2i300000000000000000000000000
χ1158-88-82-40-2-44-24200000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i32+2i3−2−2i31+i3−2−2i3−1−i300000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i32−2i3−2+2i31−i3−2+2i3−1+i300000000000000000000000000
χ1168-88-8-42042-24-2-400000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i3−1−i31+i3−2−2i31+i32+2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i3−1+i31−i3−2+2i31−i32−2i300000000000000000000000000
χ1178-8-882-40-2442-4-200000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i3−2−2i3−1−i32+2i31+i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i3−2+2i3−1+i32−2i31−i300000000000000000000000000

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