Finite Group Databasebeta

← Group #14512511

Character table — Group #14512511

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size112334444444446888810101212121212121212121616161616161616161616161616161616162030306080808080120120120120120120120120
order1222225101010101010102366622210101010101010106615153030303030303030303030303030422466121244444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111-11111-1-1-1-11111111-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11-11-11-11-1
χ611111-11111-1-1-1-11111111-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-11-11-11-11
χ711111-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111i−i−iii−i−ii
χ811111-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111−iii−i−iii−i
χ9222222222222222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ10222222222222222-1-1-1-1-2-2222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000
χ1122222-22222-2-2-2-22-1-1-1-122-22222-2-2-2-211-1-1-1-1-1-1-1-111111111-222-2-1-11100000000
χ1222222-22222-2-2-2-22-1-1-1-1-2-2-22222-2-2-2-211-1-1-1-1-1-1-1-1111111112-2-2211-1-100000000
χ1322-222022-2-20000-22-2-222-2022-2-20000002222-2-2-2-20000000002-202-20000000000
χ1422-222022-2-20000-22-2-22-22022-2-20000002222-2-2-2-2000000000-220-220000000000
χ1522-222022-2-20000-2-111-12-2022-2-20000−i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i302-20-11−i3i300000000
χ1622-222022-2-20000-2-111-12-2022-2-20000i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i302-20-11i3−i300000000
χ1722-222022-2-20000-2-111-1-22022-2-20000−i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i30-2201-1i3−i300000000
χ1822-222022-2-20000-2-111-1-22022-2-20000i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i30-2201-1−i3i300000000
χ19333-1-1333333333-1000033-1-1-1-1-1-1-1-1-10000000000000000003-1-1-100001111-1-1-1-1
χ20333-1-1333333333-1000033-1-1-1-1-1-1-1-1-10000000000000000003-1-1-10000-1-1-1-11111
χ21333-1-1333333333-10000-3-3-1-1-1-1-1-1-1-1-1000000000000000000-31110000ii−i−i−i−iii
χ22333-1-1333333333-10000-3-3-1-1-1-1-1-1-1-1-1000000000000000000-31110000−i−iiiii−i−i
χ23333-1-1-33333-3-3-3-3-10000331-1-1-1-11111000000000000000000-3-1-1100001-11-1-11-11
χ24333-1-1-33333-3-3-3-3-10000331-1-1-1-11111000000000000000000-3-1-110000-11-111-11-1
χ25333-1-1-33333-3-3-3-3-10000-3-31-1-1-1-11111000000000000000000311-10000i−i−ii−iii−i
χ26333-1-1-33333-3-3-3-3-10000-3-31-1-1-1-11111000000000000000000311-10000−iii−ii−i−ii
χ27444444-1-1-1-1-1-1-1-144444004-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ28444444-1-1-1-1-1-1-1-14-2-2-2-2004-1-1-1-1-1-1-1-1-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000000000000
χ29444444-1-1-1-1-1-1-1-14-2-2-2-2004-1-1-1-1-1-1-1-1-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000000000000000
χ3044444-4-1-1-1-111114444400-4-1-1-1-11111-4-4-1-1-1-1-1-1-1-1111111110000000000000000
χ3144444-4-1-1-1-111114-2-2-2-200-4-1-1-1-11111221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000000000000000
χ3244444-4-1-1-1-111114-2-2-2-200-4-1-1-1-11111221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000000000000000
χ3344-4440-1-111−5−555-44-4-44000-1-111−5−55500-1-1-1-11111−5−55555−5−50000000000000000
χ3444-4440-1-111−5−555-4-222-2000-1-111−5−555−2i32i31+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000000000000000
χ3544-4440-1-111−5−555-4-222-2000-1-111−5−5552i3−2i31−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000000000000000
χ3644-4440-1-11155−5−5-44-4-44000-1-11155−5−500-1-1-1-1111155−5−5−5−5550000000000000000
χ3744-4440-1-11155−5−5-4-222-2000-1-11155−5−5−2i32i31−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000000000000000
χ3844-4440-1-11155−5−5-4-222-2000-1-11155−5−52i3−2i31+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000000000000000
χ394-404-404-40000000400-40004-40000000044-4-40000000000000000000000000000
χ404-404-404-40000000-2−2i32i320004-400000000-2-222−2i32i3−2i32i3000000000000000000000000
χ414-404-404-40000000-22i3−2i320004-400000000-2-2222i3−2i32i3−2i3000000000000000000000000
χ424-404-40-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580400-4000-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800-1-111−555−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000
χ434-404-40-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580-2−2i32i32000-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58001+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ46ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ580000000000000000
χ444-404-40-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580-22i3−2i32000-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58001−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ460000000000000000
χ454-404-40-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580400-4000-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800-1-111−555−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000
χ464-404-40-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580-2−2i32i32000-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58001+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ46ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ58ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ46−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ580000000000000000
χ474-404-40-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580-22i3−2i32000-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58001−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ58ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ46ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ58ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ460000000000000000
χ484-404-40-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580400-4000-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800-1-1115−5−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000
χ494-404-40-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580-2−2i32i32000-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58001−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ58ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ46−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ460000000000000000
χ504-404-40-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580-22i3−2i32000-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58001+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ46−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ58ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ580000000000000000
χ514-404-40-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580400-4000-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800-1-1115−5−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000
χ524-404-40-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580-2−2i32i32000-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58001−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ58ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ460000000000000000
χ534-404-40-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580-22i3−2i32000-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58001+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ46ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ580000000000000000
χ5466-6-2-2066-6-60000200006-60-2-22200000000000000000000000-220000000000000
χ5566-6-2-2066-6-6000020000-660-2-222000000000000000000000002-20000000000000
χ56121212-4-412-3-3-3-3-3-3-3-3-4000000-4111111110000000000000000000000000000000000
χ57121212-4-4-12-3-3-3-33333-400000041111-1-1-1-10000000000000000000000000000000000
χ581212-12-4-40-3-333−35−3535354000000011-1-155−5−50000000000000000000000000000000000
χ591212-12-4-40-3-3333535−35−354000000011-1-1−5−5550000000000000000000000000000000000
χ6012-120-44012-1200000000000000-440000000000000000000000000000000000000000
χ6112-120-440-33−35353ζ2−3ζ14+3ζ22+3ζ26−3ζ34−3ζ38+3ζ46−3ζ58−3ζ2+3ζ14−3ζ22−3ζ26+3ζ34+3ζ38−3ζ46+3ζ583ζ2+3ζ14+3ζ22−3ζ26+3ζ34−3ζ38−3ζ46−3ζ58−3ζ2−3ζ14−3ζ22+3ζ26−3ζ34+3ζ38+3ζ46+3ζ58000000001-15−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000000000000000000
χ6212-120-440-33−3535−3ζ2+3ζ14−3ζ22−3ζ26+3ζ34+3ζ38−3ζ46+3ζ583ζ2−3ζ14+3ζ22+3ζ26−3ζ34−3ζ38+3ζ46−3ζ58−3ζ2−3ζ14−3ζ22+3ζ26−3ζ34+3ζ38+3ζ46+3ζ583ζ2+3ζ14+3ζ22−3ζ26+3ζ34−3ζ38−3ζ46−3ζ58000000001-15−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000000000000000000000
χ6312-120-440-3335−353ζ2+3ζ14+3ζ22−3ζ26+3ζ34−3ζ38−3ζ46−3ζ58−3ζ2−3ζ14−3ζ22+3ζ26−3ζ34+3ζ38+3ζ46+3ζ58−3ζ2+3ζ14−3ζ22−3ζ26+3ζ34+3ζ38−3ζ46+3ζ583ζ2−3ζ14+3ζ22+3ζ26−3ζ34−3ζ38+3ζ46−3ζ58000000001-1−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000000000000000000
χ6412-120-440-3335−35−3ζ2−3ζ14−3ζ22+3ζ26−3ζ34+3ζ38+3ζ46+3ζ583ζ2+3ζ14+3ζ22−3ζ26+3ζ34−3ζ38−3ζ46−3ζ583ζ2−3ζ14+3ζ22+3ζ26−3ζ34−3ζ38+3ζ46−3ζ58−3ζ2+3ζ14−3ζ22−3ζ26+3ζ34+3ζ38−3ζ46+3ζ58000000001-1−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.