Finite Group Databasebeta

← Group #13166754

Character table — Group #13166754

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112224444444488881818242424242424242424242424363636363611222444444448888181824242424242424242424242436363636361122244444444888818182424242424242424242424243636363636
order122443366661212612121288222466666612128161616163661212336666121261212122424666126666661212244848484836612123366661212612121224246661266666612122448484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-1111-1-1-1-11111111111111111111-1-11111-1-1-1-1111-1-1-1-11111111111111111111-1-11111-1-1-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ511-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-111-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-111-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-1
χ611-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-11111-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-11111-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-111
χ711-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-11111-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-11111-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-111
χ811-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-111-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-111-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222-2-2222222-2-22-2-2-20000000000000002−22−2222-2-2222222-2-22-2-2-20000000000000002−22−2222-2-2222222-2-22-2-2-20000000000000002−22−2
χ11222-2-2222222-2-22-2-2-2000000000000000−22−22222-2-2222222-2-22-2-2-2000000000000000−22−22222-2-2222222-2-22-2-2-2000000000000000−22−22
χ1222-22-222-2-22222-2-22-20000000000000002−2−2222-22-222-2-22222-2-22-20000000000000002−2−2222-22-222-2-22222-2-22-20000000000000002−2−22
χ1322-22-222-2-22222-2-22-2000000000000000−222−222-22-222-2-22222-2-22-2000000000000000−222−222-22-222-2-22222-2-22-2000000000000000−222−2
χ1422-2-2222-2-222-2-2-22-22-2-20000000000002000022-2-2222-2-222-2-2-22-22-2-20000000000002000022-2-2222-2-222-2-2-22-22-2-200000000000020000
χ15444441-2-2-2-21111-2-21000022-1-10000-1-100000444441-2-2-2-21111-2-21000022-1-10000-1-100000444441-2-2-2-21111-2-21000022-1-10000-1-100000
χ16444441-2-2-2-21111-2-210000-2-21100001100000444441-2-2-2-21111-2-210000-2-21100001100000444441-2-2-2-21111-2-210000-2-21100001100000
χ1744444-21111-2-2-2-211-200220000-1-1-1-1000000044444-21111-2-2-2-211-200220000-1-1-1-1000000044444-21111-2-2-2-211-200220000-1-1-1-10000000
χ1844444-21111-2-2-2-211-200-2-200001111000000044444-21111-2-2-2-211-200-2-200001111000000044444-21111-2-2-2-211-200-2-2000011110000000
χ19444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000
χ20444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000
χ21444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000
χ22444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000
χ2344-44-41-222-2111-12-2-1000000−i3i30000i3−i30000044-44-41-222-2111-12-2-1000000−i3i30000i3−i30000044-44-41-222-2111-12-2-1000000−i3i30000i3−i300000
χ2444-44-41-222-2111-12-2-1000000i3−i30000−i3i30000044-44-41-222-2111-12-2-1000000i3−i30000−i3i30000044-44-41-222-2111-12-2-1000000i3−i30000−i3i300000
χ2544-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i3000000044-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i3000000044-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i30000000
χ2644-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i3000000044-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i3000000044-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i30000000
χ2744-4-441-222-21-1-1-1-22100002-2-1-10000110000044-4-441-222-21-1-1-1-22100002-2-1-10000110000044-4-441-222-21-1-1-1-22100002-2-1-100001100000
χ2844-4-441-222-21-1-1-1-2210000-22110000-1-10000044-4-441-222-21-1-1-1-2210000-22110000-1-10000044-4-441-222-21-1-1-1-2210000-22110000-1-100000
χ2944-4-44-21-1-11-22221-1-2002-20000-1-111000000044-4-44-21-1-11-22221-1-2002-20000-1-111000000044-4-44-21-1-11-22221-1-2002-20000-1-1110000000
χ3044-4-44-21-1-11-22221-1-200-22000011-1-1000000044-4-44-21-1-11-22221-1-200-22000011-1-1000000044-4-44-21-1-11-22221-1-200-22000011-1-10000000
χ314-40004400-4-400000022−22000000000000000004-40004400-4-400000022−22000000000000000004-40004400-4-400000022−2200000000000000000
χ324-40004400-4-4000000−2222000000000000000004-40004400-4-4000000−2222000000000000000004-40004400-4-4000000−222200000000000000000
χ338-80002-4004-26i−6i000000000000000000000008-80002-4004-26i−6i000000000000000000000008-80002-4004-26i−6i00000000000000000000000
χ348-80002-4004-2−6i6i000000000000000000000008-80002-4004-2−6i6i000000000000000000000008-80002-4004-2−6i6i00000000000000000000000
χ358-8000-426-6-2400000000000000000000000008-8000-426-6-2400000000000000000000000008-8000-426-6-240000000000000000000000000
χ368-8000-42-66-2400000000000000000000000008-8000-42-66-2400000000000000000000000008-8000-42-66-240000000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ38111111111111111111111-1-1-1-11111-1-11-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111111-1-11111-1-1-1-1111-1-1-1-1−1+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+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ4211-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ4311-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4411-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ4522222222222222222-2-2000000000000-20000−1+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+i31−i31−i30000000000001−i30000−1−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−i31+i31+i30000000000001+i30000
χ46222-2-2222222-2-22-2-2-20000000000000002−22−2−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3000000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3000000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ47222-2-2222222-2-22-2-2-2000000000000000−22−22−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3000000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3000000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13
χ4822-22-222-2-22222-2-22-20000000000000002−2−22−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13
χ4922-22-222-2-22222-2-22-2000000000000000−222−2−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13
χ5022-2-2222-2-222-2-2-22-22-2-200000000000020000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3000000000000−1+i30000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3000000000000−1−i30000
χ51444441-2-2-2-21111-2-21000022-1-10000-1-100000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i320000−1+i3−1+i31−i321−i3200001−i321−i3200000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i320000−1−i3−1−i31+i321+i3200001+i321+i3200000
χ52444441-2-2-2-21111-2-210000-2-21100001100000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3200001−i31−i3−1+i32−1+i320000−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3200001+i31+i3−1−i32−1−i320000−1−i32−1−i3200000
χ5344444-21111-2-2-2-211-200220000-1-1-1-10000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300−1+i3−1+i300001−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300−1−i3−1−i300001+i321+i321+i321+i320000000
χ5444444-21111-2-2-2-211-200-2-2000011110000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i320000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i320000000
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χ88444441-2-2-2-21111-2-210000-2-21100001100000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3200001+i31+i3−1−i32−1−i320000−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3200001−i31−i3−1+i32−1+i320000−1+i32−1+i3200000
χ8944444-21111-2-2-2-211-200220000-1-1-1-10000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300−1−i3−1−i300001+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300−1+i3−1+i300001−i321−i321−i321−i320000000
χ9044444-21111-2-2-2-211-200-2-2000011110000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i320000000
χ91444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i32000000−3+i323−i320000−3+i323−i3200000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i320000003+i32−3−i3200003+i32−3−i3200000
χ92444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i320000003−i32−3+i3200003−i32−3+i3200000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i32000000−3−i323+i320000−3−i323+i3200000
χ93444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300000000−3+i323−i32−3+i323−i320000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i3000000003+i32−3−i323+i32−3−i320000000
χ94444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i3000000003−i32−3+i323−i32−3+i320000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i300000000−3−i323+i32−3−i323+i320000000
χ9544-44-41-222-2111-12-2-1000000−i3i30000i3−i300000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i32−1−i31+i31+i32000000−3+i323−i3200003−i32−3+i3200000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i32−1+i31−i31−i320000003+i32−3−i320000−3−i323+i3200000
χ9644-44-41-222-2111-12-2-1000000i3−i30000−i3i300000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i32−1−i31+i31+i320000003−i32−3+i320000−3+i323−i3200000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i32−1+i31−i31−i32000000−3−i323+i3200003+i32−3−i3200000
χ9744-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i30000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i31+i32−1−i32−1−i300000000−3+i323−i323−i32−3+i320000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i31−i32−1+i32−1+i3000000003+i32−3−i32−3−i323+i320000000
χ9844-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i30000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i31+i32−1−i32−1−i3000000003−i32−3+i32−3+i323−i320000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i31−i32−1+i32−1+i300000000−3−i323+i323+i32−3−i320000000
χ9944-4-441-222-21-1-1-1-22100002-2-1-100001100000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i321+i3−1−i3−1−i320000−1−i31+i31+i321+i320000−1−i32−1−i3200000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i321−i3−1+i3−1+i320000−1+i31−i31−i321−i320000−1+i32−1+i3200000
χ10044-4-441-222-21-1-1-1-2210000-22110000-1-100000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i321+i3−1−i3−1−i3200001+i3−1−i3−1−i32−1−i3200001+i321+i3200000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i321−i3−1+i3−1+i3200001−i3−1+i3−1+i32−1+i3200001−i321−i3200000
χ10144-4-44-21-1-11-22221-1-2002-20000-1-1110000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i3−1−i321+i321+i300−1−i31+i300001+i321+i32−1−i32−1−i320000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i3−1+i321−i321−i300−1+i31−i300001−i321−i32−1+i32−1+i320000000
χ10244-4-44-21-1-11-22221-1-200-22000011-1-10000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i3−1−i321+i321+i3001+i3−1−i30000−1−i32−1−i321+i321+i320000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i3−1+i321−i321−i3001−i3−1+i30000−1+i32−1+i321−i321−i320000000
χ1034-40004400-4-400000022−2200000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i3000000−2ζ7+2ζ132ζ7−2ζ1300000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i30000002ζ5−2ζ23−2ζ5+2ζ2300000000000000000
χ1044-40004400-4-4000000−222200000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i30000002ζ7−2ζ13−2ζ7+2ζ1300000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i3000000−2ζ5+2ζ232ζ5−2ζ2300000000000000000
χ1058-80002-4004-26i−6i00000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i36ζ22−6ζ2200000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i36ζ14−6ζ1400000000000000000000000
χ1068-80002-4004-2−6i6i00000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i3−6ζ226ζ2200000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i3−6ζ146ζ1400000000000000000000000
χ1078-8000-426-6-240000000000000000000000000−4−4i34+4i30002+2i3−1−i3−3−3i33+3i31+i3−2−2i30000000000000000000000000−4+4i34−4i30002−2i3−1+i3−3+3i33−3i31−i3−2+2i30000000000000000000000000
χ1088-8000-42-66-240000000000000000000000000−4−4i34+4i30002+2i3−1−i33+3i3−3−3i31+i3−2−2i30000000000000000000000000−4+4i34−4i30002−2i3−1+i33−3i3−3+3i31−i3−2+2i30000000000000000000000000

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