Finite Group Databasebeta

← Group #13180894

Character table — Group #13180894

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222444444666666688888888121216161616181818242424242424242424242424243636547272112222444444666666688888888121216161616181818242424242424242424242424243636547272
order123366333666244661212333366661212336622466666612121212121212612466226666666666244661212666666661212666622466666612121212121212612466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-111-1-111111111111111-1-111111111-1-1-1-1-1-1-11-1-1-111111111111111-111-1-111111111111111-1-111111111-1-1-1-1-1-1-11-1-1-1
χ3111111111111-111-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-111-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111-11-1-1-1-1-111111111111111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-1-111111111111111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111
χ51111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32
χ61111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321−i321+i321+i321−i321−i32-11-11+i321−i321111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321−i321+i321+i321−i321−i32-11-11+i321−i32
χ71111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11+i321−i321111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11+i321−i32
χ81111111−1−i32−1+i321−1−i32−1+i32-11-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i321+i321+i321−i321−i3211+i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32-11-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i321+i321+i321−i321−i3211+i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i32
χ91111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32
χ101111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321+i321−i321−i321+i321+i32-11-11−i321+i321111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321+i321−i321−i321+i321+i32-11-11−i321+i32
χ111111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11−i321+i321111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11−i321+i32
χ121111111−1+i32−1−i321−1+i32−1−i32-11-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i321−i321−i321+i321+i3211−i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32-11-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i321−i321−i321+i321+i3211−i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i32
χ13222-1-12-122-12202200-1-1-1-12222-1-1-12-1-1-1-1200000000-122-1-1-1-1-10000222-1-12-122-12202200-1-1-1-12222-1-1-12-1-1-1-1200000000-122-1-1-1-1-10000
χ14222-1-12-122-12202-20011-1-12222-1-1-12-1-1-1-1-200000000-1-2-2111110000222-1-12-122-12202-20011-1-12222-1-1-12-1-1-1-1-200000000-1-2-2111110000
χ15222-1-12-1−1−i3−1+i3-1−1−i3−1+i302200-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32200000000-1−1−i3−1+i31+i321+i321−i321−i32-10000222-1-12-1−1−i3−1+i3-1−1−i3−1+i302200-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32200000000-1−1−i3−1+i31+i321+i321−i321−i32-10000
χ16222-1-12-1−1−i3−1+i3-1−1−i3−1+i302-200111+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32-200000000-11+i31−i3−1−i32−1−i32−1+i32−1+i3210000222-1-12-1−1−i3−1+i3-1−1−i3−1+i302-200111+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32-200000000-11+i31−i3−1−i32−1−i32−1+i32−1+i3210000
χ17222-1-12-1−1+i3−1−i3-1−1+i3−1−i302200-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32200000000-1−1+i3−1−i31−i321−i321+i321+i32-10000222-1-12-1−1+i3−1−i3-1−1+i3−1−i302200-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32200000000-1−1+i3−1−i31−i321−i321+i321+i32-10000
χ18222-1-12-1−1+i3−1−i3-1−1+i3−1−i302-200111−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32-200000000-11−i31+i3−1+i32−1+i32−1−i32−1−i3210000222-1-12-1−1+i3−1−i3-1−1+i3−1−i302-200111−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32-200000000-11−i31+i3−1+i32−1+i32−1−i32−1−i3210000
χ1922-122-1-122-122220-1-10022-1-1-1-1222-1-1-1-1-100222-1-1-1-1-10000000-100022-122-1-122-122220-1-10022-1-1-1-1222-1-1-1-1-100222-1-1-1-1-10000000-1000
χ2022-122-1-122-122-220110022-1-1-1-1222-1-1-1-1-100-2-2-21111-10000000100022-122-1-122-122-220110022-1-1-1-1222-1-1-1-1-100-2-2-21111-100000001000
χ2122-122-1-1−1−i3−1+i3-1−1−i3−1+i3220-1-100−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i32-11+i321−i321+i321−i32002−1−i3−1+i31+i321+i321−i321−i32-10000000-100022-122-1-1−1−i3−1+i3-1−1−i3−1+i3220-1-100−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i32-11+i321−i321+i321−i32002−1−i3−1+i31+i321+i321−i321−i32-10000000-1000
χ2222-122-1-1−1−i3−1+i3-1−1−i3−1+i3-2201100−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i32-11+i321−i321+i321−i3200-21+i31−i3−1−i32−1−i32−1+i32−1+i32-10000000100022-122-1-1−1−i3−1+i3-1−1−i3−1+i3-2201100−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i32-11+i321−i321+i321−i3200-21+i31−i3−1−i32−1−i32−1+i32−1+i32-100000001000
χ2322-122-1-1−1+i3−1−i3-1−1+i3−1−i3220-1-100−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i32-11−i321+i321−i321+i32002−1+i3−1−i31−i321−i321+i321+i32-10000000-100022-122-1-1−1+i3−1−i3-1−1+i3−1−i3220-1-100−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i32-11−i321+i321−i321+i32002−1+i3−1−i31−i321−i321+i321+i32-10000000-1000
χ2422-122-1-1−1+i3−1−i3-1−1+i3−1−i3-2201100−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i32-11−i321+i321−i321+i3200-21−i31+i3−1+i32−1+i32−1−i32−1−i32-10000000100022-122-1-1−1+i3−1−i3-1−1+i3−1−i3-2201100−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i32-11−i321+i321−i321+i3200-21−i31+i3−1+i32−1+i32−1−i32−1−i32-100000001000
χ253333333003003-13333300000000-1-10000-13-1000000-1000000-1-1-1003333333003003-13333300000000-1-10000-13-1000000-1000000-1-1-100
χ263333333003003-1-333-3-300000000-1-100001-3-1000000-10000001-11003333333003003-1-333-3-300000000-1-100001-3-1000000-10000001-1100
χ27333333300300-3-13-3-33300000000-1-10000-1-31000000-1000000-11100333333300300-3-13-3-33300000000-1-10000-1-31000000-1000000-11100
χ28333333300300-3-1-3-3-3-3-300000000-1-10000131000000-100000011-100333333300300-3-1-3-3-3-3-300000000-1-10000131000000-100000011-100
χ2944-2-2-2-21441440400000-2-2-2-2-2-2-2-2-2-2111100000000010000000000044-2-2-2-21441440400000-2-2-2-2-2-2-2-2-2-21111000000000100000000000
χ3044-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i304000001+i31−i31+i31−i31+i31−i31+i31−i3-2-2−1−i32−1+i32−1−i32−1+i3200000000010000000000044-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i304000001+i31−i31+i31−i31+i31−i31+i31−i3-2-2−1−i32−1+i32−1−i32−1+i32000000000100000000000
χ3144-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i304000001−i31+i31−i31+i31−i31+i31−i31+i3-2-2−1+i32−1−i32−1+i32−1−i3200000000010000000000044-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i304000001−i31+i31−i31+i31−i31+i31−i31+i3-2-2−1+i32−1−i32−1+i32−1−i32000000000100000000000
χ324-444-4-44-2-2-4220000000-2-2-2-2222200-2-2220000000000000000000004-444-4-44-2-2-4220000000-2-2-2-2222200-2-222000000000000000000000
χ334-444-4-441+i31−i3-4−1−i3−1+i300000001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3001+i31−i3−1−i3−1+i30000000000000000000004-444-4-441+i31−i3-4−1−i3−1+i300000001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000000000000000000
χ344-444-4-441−i31+i3-4−1+i3−1−i300000001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3001−i31+i3−1+i3−1−i30000000000000000000004-444-4-441−i31+i3-4−1+i3−1−i300000001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000000000000000000
χ354-44-22-4-2-2-22220000023−2311-2-222-1-10011-1-10000000000003−33−3000004-44-22-4-2-2-22220000023−2311-2-222-1-10011-1-10000000000003−33−300000
χ364-44-22-4-2-2-222200000−232311-2-222-1-10011-1-1000000000000−33−33000004-44-22-4-2-2-222200000−232311-2-222-1-10011-1-1000000000000−33−3300000
χ374-44-22-4-21+i31−i32−1−i3−1+i30000023−23−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−1−i32−1+i321+i321−i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000004-44-22-4-21+i31−i32−1−i3−1+i30000023−23−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−1−i32−1+i321+i321−i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ384-44-22-4-21+i31−i32−1−i3−1+i300000−2323−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000004-44-22-4-21+i31−i32−1−i3−1+i300000−2323−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ394-44-22-4-21−i31+i32−1+i3−1−i30000023−23−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000004-44-22-4-21−i31+i32−1+i3−1−i30000023−23−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000
χ404-44-22-4-21−i31+i32−1+i3−1−i300000−2323−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000004-44-22-4-21−i31+i32−1+i3−1−i300000−2323−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000
χ414-4-24-42-2-2-2222000−2i32i300-2-211-1-1220011-1-100000−i3i3−i3i30000000000004-4-24-42-2-2-2222000−2i32i300-2-211-1-1220011-1-100000−i3i3−i3i3000000000000
χ424-4-24-42-2-2-22220002i3−2i300-2-211-1-1220011-1-100000i3−i3i3−i30000000000004-4-24-42-2-2-22220002i3−2i300-2-211-1-1220011-1-100000i3−i3i3−i3000000000000
χ434-4-24-42-21+i31−i32−1−i3−1+i3000−2i32i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i3200000−3+i323−i323+i32−3−i320000000000004-4-24-42-21+i31−i32−1−i3−1+i3000−2i32i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i3200000−3+i323−i323+i32−3−i32000000000000
χ444-4-24-42-21+i31−i32−1−i3−1+i30002i3−2i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i32000003−i32−3+i32−3−i323+i320000000000004-4-24-42-21+i31−i32−1−i3−1+i30002i3−2i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i32000003−i32−3+i32−3−i323+i32000000000000
χ454-4-24-42-21−i31+i32−1+i3−1−i3000−2i32i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i32000003+i32−3−i32−3+i323−i320000000000004-4-24-42-21−i31+i32−1+i3−1−i3000−2i32i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i32000003+i32−3−i32−3+i323−i32000000000000
χ464-4-24-42-21−i31+i32−1+i3−1−i30002i3−2i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i3200000−3−i323+i323−i32−3+i320000000000004-4-24-42-21−i31+i32−1+i3−1−i30002i3−2i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i3200000−3−i323+i323−i32−3+i32000000000000
χ47666-3-36-300-3000-2600-3-3000000001-20000-200000000100000010000666-3-36-300-3000-2600-3-3000000001-20000-200000000100000010000
χ48666-3-36-300-3000-2-60033000000001-200002000000001000000-10000666-3-36-300-3000-2-60033000000001-200002000000001000000-10000
χ4966-366-3-300-3006-20-3-30000000000-21000000-200000010000000100066-366-3-300-3006-20-3-30000000000-21000000-2000000100000001000
χ5066-366-3-300-300-6-20330000000000-21000000200000010000000-100066-366-3-300-300-6-20330000000000-21000000200000010000000-1000
χ518-8-4-4442-4-4-24400000002222-2-2-2-200-1-1110000000000000000000008-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000
χ528-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3001+i321−i32−1−i32−1+i320000000000000000000008-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3001+i321−i32−1−i32−1+i32000000000000000000000
χ538-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3001−i321+i32−1+i32−1−i320000000000000000000008-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3001−i321+i32−1+i32−1−i32000000000000000000000
χ541212-6-6-6-63003000-40000000000000220000000000000-1000000000001212-6-6-6-63003000-40000000000000220000000000000-100000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111-111-1-111111111111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1111
χ57111111111111-111-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ58111111111111-11-1-1-1-1-111111111111111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-111111111-1-1-1
χ591111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321+i321−i321−i32-11+i321−i321+i321+i321−i321−i32-1-1-11+i321−i32
χ601111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321−i321+i321+i321−i321−i32-11-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-1-11-1-1111+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i3211-11+i321−i321+i321+i321−i321−i32-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11−1−i32−1+i32
χ611111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i321-1-111-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321+i321−i321−i32-111−1−i32−1+i32
χ621111111−1−i32−1+i321−1−i32−1+i32-11-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i321+i321+i321−i321−i3211+i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i321-1111111+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i321-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-11+i321−i32
χ631111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321−i321+i321+i32-11−i321+i321−i321−i321+i321+i32-1-1-11−i321+i32
χ641111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321+i321−i321−i321+i321+i32-11-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-1-11-1-1111−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i3211-11−i321+i321−i321−i321+i321+i32-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11−1+i32−1−i32
χ651111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i321-1-111-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321−i321+i321+i32-111−1+i32−1−i32
χ661111111−1+i32−1−i321−1+i32−1−i32-11-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i321−i321−i321+i321+i3211−i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i321-1111111−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i321-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-11−i321+i32
χ67222-1-12-122-12202200-1-1-1-12222-1-1-12-1-1-1-1200000000-122-1-1-1-1-10000-2-2-211-21-2-21-2-20-2-2001111-2-2-2-2111-21111-2000000001-2-2111110000
χ68222-1-12-122-12202-20011-1-12222-1-1-12-1-1-1-1-200000000-1-2-2111110000-2-2-211-21-2-21-2-20-2200-1-111-2-2-2-2111-21111200000000122-1-1-1-1-10000
χ69222-1-12-1−1−i3−1+i3-1−1−i3−1+i302200-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32200000000-1−1−i3−1+i31+i321+i321−i321−i32-10000-2-2-211-211+i31−i311+i31−i30-2-20011−1−i32−1+i321+i31−i31+i31−i3−1−i32−1+i321-2−1−i32−1+i32−1−i32−1+i32-20000000011+i31−i3−1−i32−1−i32−1+i32−1+i3210000
χ70222-1-12-1−1−i3−1+i3-1−1−i3−1+i302-200111+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-121+i321−i321+i321−i32-200000000-11+i31−i3−1−i32−1−i32−1+i32−1+i3210000-2-2-211-211+i31−i311+i31−i30-2200-1-1−1−i32−1+i321+i31−i31+i31−i3−1−i32−1+i321-2−1−i32−1+i32−1−i32−1+i322000000001−1−i3−1+i31+i321+i321−i321−i32-10000
χ71222-1-12-1−1+i3−1−i3-1−1+i3−1−i302200-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32200000000-1−1+i3−1−i31−i321−i321+i321+i32-10000-2-2-211-211−i31+i311−i31+i30-2-20011−1+i32−1−i321−i31+i31−i31+i3−1+i32−1−i321-2−1+i32−1−i32−1+i32−1−i32-20000000011−i31+i3−1+i32−1+i32−1−i32−1−i3210000
χ72222-1-12-1−1+i3−1−i3-1−1+i3−1−i302-200111−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-121−i321+i321−i321+i32-200000000-11−i31+i3−1+i32−1+i32−1−i32−1−i3210000-2-2-211-211−i31+i311−i31+i30-2200-1-1−1+i32−1−i321−i31+i31−i31+i3−1+i32−1−i321-2−1+i32−1−i32−1+i32−1−i322000000001−1+i3−1−i31−i321−i321+i321+i32-10000
χ7322-122-1-122-122220-1-10022-1-1-1-1222-1-1-1-1-100222-1-1-1-1-10000000-1000-2-21-2-211-2-21-2-2-2-201100-2-21111-2-2-21111100-2-2-21111100000001000
χ7422-122-1-122-122-220110022-1-1-1-1222-1-1-1-1-100-2-2-21111-100000001000-2-21-2-211-2-21-2-22-20-1-100-2-21111-2-2-21111100222-1-1-1-110000000-1000
χ7522-122-1-1−1−i3−1+i3-1−1−i3−1+i3220-1-100−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i32-11+i321−i321+i321−i32002−1−i3−1+i31+i321+i321−i321−i32-10000000-1000-2-21-2-2111+i31−i311+i31−i3-2-2011001+i31−i3−1−i32−1+i32−1−i32−1+i321+i31−i3-21−1−i32−1+i32−1−i32−1+i3200-21+i31−i3−1−i32−1−i32−1+i32−1+i32100000001000
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χ7722-122-1-1−1+i3−1−i3-1−1+i3−1−i3220-1-100−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i32-11−i321+i321−i321+i32002−1+i3−1−i31−i321−i321+i321+i32-10000000-1000-2-21-2-2111−i31+i311−i31+i3-2-2011001−i31+i3−1+i32−1−i32−1+i32−1−i321−i31+i3-21−1+i32−1−i32−1+i32−1−i3200-21−i31+i3−1+i32−1+i32−1−i32−1−i32100000001000
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χ793333333003003-13333300000000-1-10000-13-1000000-1000000-1-1-100-3-3-3-3-3-3-300-300-31-3-3-3-3-3000000001100001-31000000100000011100
χ803333333003003-1-333-3-300000000-1-100001-3-1000000-10000001-1100-3-3-3-3-3-3-300-300-313-3-33300000000110000-1310000001000000-11-100
χ81333333300300-3-13-3-33300000000-1-10000-1-31000000-1000000-11100-3-3-3-3-3-3-300-30031-333-3-30000000011000013-100000010000001-1-100
χ82333333300300-3-1-3-3-3-3-300000000-1-10000131000000-100000011-100-3-3-3-3-3-3-300-300313333300000000110000-1-3-10000001000000-1-1100
χ8344-2-2-2-21441440400000-2-2-2-2-2-2-2-2-2-21111000000000100000000000-4-42222-1-4-4-1-4-40-4000002222222222-1-1-1-1000000000-100000000000
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χ924-44-22-4-21+i31−i32−1−i3−1+i300000−2323−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000-44-42-242−1−i3−1+i3-21+i31−i30000023−231+i321−i32−1−i3−1+i31+i31−i3−1−i32−1+i32001+i321−i32−1−i32−1+i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ934-44-22-4-21−i31+i32−1+i3−1−i30000023−23−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000-44-42-242−1+i3−1−i3-21−i31+i300000−23231−i321+i32−1+i3−1−i31−i31+i3−1+i32−1−i32001−i321+i32−1+i32−1−i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000
χ944-44-22-4-21−i31+i32−1+i3−1−i300000−2323−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000-44-42-242−1+i3−1−i3-21−i31+i30000023−231−i321+i32−1+i3−1−i31−i31+i3−1+i32−1−i32001−i321+i32−1+i32−1−i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000
χ954-4-24-42-2-2-2222000−2i32i300-2-211-1-1220011-1-100000−i3i3−i3i3000000000000-442-44-2222-2-2-20002i3−2i30022-1-111-2-200-1-11100000i3−i3i3−i3000000000000
χ964-4-24-42-2-2-22220002i3−2i300-2-211-1-1220011-1-100000i3−i3i3−i3000000000000-442-44-2222-2-2-2000−2i32i30022-1-111-2-200-1-11100000−i3i3−i3i3000000000000
χ974-4-24-42-21+i31−i32−1−i3−1+i3000−2i32i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i3200000−3+i323−i323+i32−3−i32000000000000-442-44-22−1−i3−1+i3-21+i31−i30002i3−2i300−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i3001+i321−i32−1−i32−1+i32000003−i32−3+i32−3−i323+i32000000000000
χ984-4-24-42-21+i31−i32−1−i3−1+i30002i3−2i3001+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−1−i32−1+i321+i321−i32000003−i32−3+i32−3−i323+i32000000000000-442-44-22−1−i3−1+i3-21+i31−i3000−2i32i300−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i3001+i321−i32−1−i32−1+i3200000−3+i323−i323+i32−3−i32000000000000
χ994-4-24-42-21−i31+i32−1+i3−1−i3000−2i32i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i32000003+i32−3−i32−3+i323−i32000000000000-442-44-22−1+i3−1−i3-21−i31+i30002i3−2i300−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i3001−i321+i32−1+i32−1−i3200000−3−i323+i323−i32−3+i32000000000000
χ1004-4-24-42-21−i31+i32−1+i3−1−i30002i3−2i3001−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−1+i32−1−i321−i321+i3200000−3−i323+i323−i32−3+i32000000000000-442-44-22−1+i3−1−i3-21−i31+i3000−2i32i300−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i3001−i321+i32−1+i32−1−i32000003+i32−3−i32−3+i323−i32000000000000
χ101666-3-36-300-3000-2600-3-3000000001-20000-200000000100000010000-6-6-633-630030002-6003300000000-120000200000000-1000000-10000
χ102666-3-36-300-3000-2-60033000000001-200002000000001000000-10000-6-6-633-630030002600-3-300000000-120000-200000000-100000010000
χ10366-366-3-300-3006-20-3-30000000000-21000000-2000000100000001000-6-63-6-63300300-6203300000000002-10000002000000-10000000-1000
χ10466-366-3-300-300-6-20330000000000-21000000200000010000000-1000-6-63-6-63300300620-3-300000000002-1000000-2000000-100000001000
χ1058-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000-8844-4-4-2442-4-40000000-2-2-2-222220011-1-1000000000000000000000
χ1068-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3001+i321−i32−1−i32−1+i32000000000000000000000-8844-4-4-2−2−2i3−2+2i322+2i32−2i300000001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1−i32−1+i321+i321−i32000000000000000000000
χ1078-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3001−i321+i32−1+i32−1−i32000000000000000000000-8844-4-4-2−2+2i3−2−2i322−2i32+2i300000001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1+i32−1−i321−i321+i32000000000000000000000
χ1081212-6-6-6-63003000-40000000000000220000000000000-100000000000-12-126666-300-300040000000000000-2-20000000000000100000000000

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