Finite Group Databasebeta

← Group #11754870

Character table — Group #11754870

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444466888888888888888888101012121212121212121212122020202020202024242424303030303030404060
order1222223556661010101010102466101010101515303030303030446101012202030303030303030306060606044244202020202020202024412121212101020204444446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111-1-111111-1-1-1-1-1-111-1-1-1-11
χ6111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-11111-1
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1111
χ91111-1-11111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-11-111-1-111-1-1-1-11111-11-1
χ101111-1-11111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-11-11-1-11111-1-111-1-1-1-11-11
χ111111-1-11111111111111-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-11111-11-111-1-1-1-11111-1-1-1-1-111
χ121111-1-11111111111111-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-1-111-1-111111-1-1
χ131111-1-1111111111111-11-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-11-1-111-1-1-1-1111111-1-11-1-1
χ141111-1-1111111111111-11-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11-11111-1-1-1-1-111-1-111-1-111-1-1-1-111-111
χ151111-1-1111111111111-11-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-11-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-11
χ161111-1-1111111111111-11-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-11111-111-1-11111-1-11111-1-1-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−52000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−52000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+52000000000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52000000000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+52000000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+52000000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−52000000000
χ25222222-122-1-1-122222222-1-12222-1-1-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-12200000000000222-1-1-1-10000000000-1-10
χ26222222-122-1-1-122222222-1-12222-1-1-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000-2-2-211110000000000110
χ27222222-122-1-1-1222222-2-2-1-12222-1-1-1-1-1-1-1-1001-2-21-2-2-1-1-1-1111111112200000000000-2-22-1-1-1-10000000000110
χ28222222-122-1-1-1222222-2-2-1-12222-1-1-1-1-1-1-1-1001-2-21-2-2-1-1-1-111111111-2-20000000000022-211110000000000-1-10
χ292222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52000000000
χ302222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+52000000000
χ312222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52000000000
χ322222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52000000000
χ332222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+52000000000
χ342222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−52000000000
χ352222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52000000000
χ362222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52000000000
χ372222-2-2-122-1-1-12222222-211-2-2-2-2-1-1-1-1-1-1-1-100-1221-2-21111-1-1-1-111112200000000000-22-2-1-11100000000001-10
χ382222-2-2-122-1-1-12222222-211-2-2-2-2-1-1-1-1-1-1-1-100-1221-2-21111-1-1-1-11111-2-2000000000002-2211-1-10000000000-110
χ392222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-1-1-1-1-1-1001-2-2-12211111111-1-1-1-122000000000002-2-2-1-1110000000000-110
χ402222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-1-1-1-1-1-1001-2-2-12211111111-1-1-1-1-2-200000000000-22211-1-100000000001-10
χ4122-2-22-2222-22-2-2-222-2-2002-22-22-222-2-2-2-222000000002-22-2000000000000000000000000000000002i−2i002i−2i000
χ4222-2-22-2222-22-2-2-222-2-2002-22-22-222-2-2-2-222000000002-22-200000000000000000000000000000000−2i2i00−2i2i000
χ4322-2-2-22222-22-2-2-222-2-200-22-22-2222-2-2-2-22200000000-22-22000000000000000000000000000000002i−2i00−2i2i000
χ4422-2-2-22222-22-2-2-222-2-200-22-22-2222-2-2-2-22200000000-22-2200000000000000000000000000000000−2i2i002i−2i000
χ452-22-2002222-2-2-2-2-2-22200000000222-22-2-2-22-20000000000000000002i−2i0002-22-200000002i−2i000000002i−2i00000
χ462-22-2002222-2-2-2-2-2-22200000000222-22-2-2-22-2000000000000000000−2i2i0002-22-20000000−2i2i00000000−2i2i00000
χ472-22-2002222-2-2-2-2-2-22200000000222-22-2-2-2-220000000000000000002i−2i000-22-2200000002i−2i00000000−2i2i00000
χ482-22-2002222-2-2-2-2-2-22200000000222-22-2-2-2-22000000000000000000−2i2i000-22-220000000−2i2i000000002i−2i00000
χ49444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−5200-2−1−5−1+5-2−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000
χ50444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-2−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−520021+51−521+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000
χ51444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2−1+5−1+5−1−5−1−51−521+521−521−521+521+521−521+5200-2−1+5−1−5-2−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000
χ52444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-2−1+5−1+5−1−5−1−51−521+521−521−521+521+521−521+520021−51+521−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000
χ534444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4221+51+51−51−51+521−521+521+521−521−521+521−5200-2−1−5−1+521+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000
χ544444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44221+51+51−51−51+521−521+521+521−521−521+521−520021+51−5-2−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000
χ554444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4221−51−51+51+51−521+521−521−521+521+521−521+5200-2−1+5−1−521−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000
χ564444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44221−51−51+51+51−521+521−521−521+521+521−521+520021−51+5-2−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000
χ5744-4-44-44−1−5−1+5-44-41+51−5−1−5−1+51+51−5004-4−1−51+5−1+51−5−1−5−1+51+51+51−51−5−1−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000
χ5844-4-44-44−1+5−1−5-44-41−51+5−1+5−1−51−51+5004-4−1+51−5−1−51+5−1+5−1−51−51−51+51+5−1+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000
χ5944-4-44-4-2442-22-4-444-4-400-224-44-4-2-22222-2-200000000-22-2200000000000000000000000000000000000000000
χ6044-4-44-4-2−1−5−1+52-221+51−5−1−5−1+51+51−500-22−1−51+5−1+51−51+521−52−1−52−1−52−1+52−1+521+521−52000000001+52−1−521−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000000000
χ6144-4-44-4-2−1−5−1+52-221+51−5−1−5−1+51+51−500-22−1−51+5−1+51−51+521−52−1−52−1−52−1+52−1+521+521−52000000001+52−1−521−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000000000
χ6244-4-44-4-2−1+5−1−52-221−51+5−1+5−1−51−51+500-22−1+51−5−1−51+51−521+52−1+52−1+52−1−52−1−521−521+52000000001−52−1+521+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000000000
χ6344-4-44-4-2−1+5−1−52-221−51+5−1+5−1−51−51+500-22−1+51−5−1−51+51−521+52−1+52−1+52−1−52−1−521−521+52000000001−52−1+521+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000000000
χ6444-4-4-444−1−5−1+5-44-41+51−5−1−5−1+51+51−500-441+5−1−51−5−1+5−1−5−1+51+51+51−51−5−1−5−1+5000000001+5−1−51−5−1+500000000000000000000000000000000000000000
χ6544-4-4-444−1+5−1−5-44-41−51+5−1+5−1−51−51+500-441−5−1+51+5−1−5−1+5−1−51−51−51+51+5−1+5−1−5000000001−5−1+51+5−1−500000000000000000000000000000000000000000
χ6644-4-4-44-2442-22-4-444-4-4002-2-44-44-2-22222-2-2000000002-22-200000000000000000000000000000000000000000
χ6744-4-4-44-2−1−5−1+52-221+51−5−1−5−1+51+51−5002-21+5−1−51−5−1+51+521−52−1−52−1−52−1+52−1+521+521−5200000000−1−521+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000000000
χ6844-4-4-44-2−1−5−1+52-221+51−5−1−5−1+51+51−5002-21+5−1−51−5−1+51+521−52−1−52−1−52−1+52−1+521+521−5200000000−1−521+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000000000
χ6944-4-4-44-2−1+5−1−52-221−51+5−1+5−1−51−51+5002-21−5−1+51+5−1−51−521+52−1+52−1+52−1−52−1−521−521+5200000000−1+521−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000000000
χ7044-4-4-44-2−1+5−1−52-221−51+5−1+5−1−51−51+5002-21−5−1+51+5−1−51−521+52−1+52−1+52−1−52−1−521−521+5200000000−1+521−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000000000
χ714-44-4004−1−5−1+54-4-41+51−51+51−5−1−5−1+500000000−1−5−1+5−1−51+5−1+51−51+51−54-400000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ724-44-4004−1−5−1+54-4-41+51−51+51−5−1−5−1+500000000−1−5−1+5−1−51+5−1+51−51+51−5-44000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ734-44-4004−1+5−1−54-4-41−51+51−51+5−1+5−1−500000000−1+5−1−5−1+51−5−1−51+51−51+54-400000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ744-44-4004−1+5−1−54-4-41−51+51−51+5−1+5−1−500000000−1+5−1−5−1+51−5−1−51+51−51+5-44000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ754-44-400-244-222-4-4-4-44400000000-2-2-22-2222000000000000000000004i−4i00000000000000−2i2i000000000000000
χ764-44-400-244-222-4-4-4-44400000000-2-2-22-222200000000000000000000−4i4i000000000000002i−2i000000000000000
χ774-4-4400444-4-4444-4-4-4-40000000044-44-44-4-400000000000000000000000000000000000000000000000000000
χ784-4-44004−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+51+5−1−51−5−1+51+51−500000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000
χ794-4-44004−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+51+5−1−51−5−1+51+51−5000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000
χ804-4-44004−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−51−5−1+51+5−1−51−51+5000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000
χ814-4-44004−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−51−5−1+51+5−1−51−51+500000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000
χ824-4-4400-24422-244-4-4-4-400000000-2-22-22-22200000000000000000000000000000000000000−2i32i30000000000000
χ834-4-4400-24422-244-4-4-4-400000000-2-22-22-222000000000000000000000000000000000000002i3−2i30000000000000
χ848-88-800-4−2−25−2+25-4442+252−252+252−25−2−25−2+25000000001+51−51+5−1−51−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000
χ858-88-800-4−2+25−2−25-4442−252+252−252+25−2+25−2−25000000001−51+51−5−1+51+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000
χ868-8-8800-4−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−5−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000000000000000000000000
χ878-8-8800-4−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+5−1+51−5−1−51+5−1+5−1−500000000000000000000000000000000000000000000000000000

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