Finite Group Databasebeta

← Group #11753113

Character table — Group #11753113

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222222444444444444444446688888888888888888810101212121212121212121212202020202020202424242430304040606060
order1222355666101010101010244121215152020202030303030303044610101220203030303060606060606060604424410101010202020202246612122020202044612244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-111111-1-1-1-11111-1-1111-1-11-1
χ611111111111111111-1-1-1-111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11111-1-111-1-1-1-1-111-11
χ711111111111111111-1-1-1-111-1-1-1-1111111-1-1111-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1-11-1-1-1-111-1-111-1-11-11-11
χ811111111111111111-1-1-1-111-1-1-1-1111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11111-1-1-1-11111-11-11-1
χ91111111111111111-11-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1-1-1-11111-11-11111-1-11111-1-1-1-11
χ101111111111111111-11-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111111-11-1-1-1-1-1-111-1-11111-1
χ111111111111111111-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111111-1-1-1-1-11-1111111-1-1-1-1-1-111-1
χ121111111111111111-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111111-1-1-1-11-11-1-1-1-111-1-11111-1-11
χ131111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-11-1-111-1-1-1-111-111-1-1
χ141111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11-1-11111111111-111-1-1-1-1-1-1-1-11-1-111
χ151111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-11-111
χ161111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-111-1-11111111-11-1-1
χ1722222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+520000000
χ1822222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+521−520000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-2-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−520000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520022-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+520000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-22-21+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+520000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002-22−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−520000000
χ2322222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−520000000
χ2422222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2221+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+520000000
χ2522222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−520000000
χ2622222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+520000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-2-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+520000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520022-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−520000000
χ2922222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-22-21−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−520000000
χ3022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52002-22−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+520000000
χ3122222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+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+5221−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+520000000
χ3222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+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+5221−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2221−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−520000000
χ332222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-12200000000000222-1-1-1-1000000-1-1000
χ342222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000-2-2-2111100000011000
χ352222-122-1-1-12222222-2-211-1-1-2-2-2-2-1-1-1-1-1-100-1221-2-2-1-1-1-11111111122000000000002-2-211-1-1000000-11000
χ362222-122-1-1-12222222-2-211-1-1-2-2-2-2-1-1-1-1-1-100-1221-2-2-1-1-1-111111111-2-200000000000-222-1-1110000001-1000
χ372222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-1001-2-21221111-1-1-1-111112200000000000-22-2-1-1-1-100000011000
χ382222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-1001-2-21221111-1-1-1-11111-2-2000000000002-221111000000-1-1000
χ392222-122-1-1-1222222-2-2211-1-12222-1-1-1-1-1-1001-2-2-1-2-211111111-1-1-1-12200000000000-2-2211-1-10000001-1000
χ402222-122-1-1-1222222-2-2211-1-12222-1-1-1-1-1-1001-2-2-1-2-211111111-1-1-1-1-2-20000000000022-2-1-111000000-11000
χ4122-2-2222-22-222-2-2-2-200000220000-2-22-22-22i−2i0000000000000000002-200000002i−2i2i−2i000002-200002i−2i00000
χ4222-2-2222-22-222-2-2-2-200000220000-2-22-22-22i−2i000000000000000000-2200000002i−2i2i−2i00000-220000−2i2i00000
χ4322-2-2222-22-222-2-2-2-200000220000-2-22-22-2−2i2i0000000000000000002-20000000−2i2i−2i2i000002-20000−2i2i00000
χ4422-2-2222-22-222-2-2-2-200000220000-2-22-22-2−2i2i000000000000000000-220000000−2i2i−2i2i00000-2200002i−2i00000
χ454444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5444-2-21+521−52−1−5−1−5−1+5−1+51+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+521−521−520000000000000000000000000000000
χ464444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4-4221+521−521+51+51−51−51+521−521+521+521−521−5200-2−1−5−1+521+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ474444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44-4-2-21+521−521+51+51−51−51+521−521+521+521−521−520021+51−52−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ484444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-44221+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−520021+51−5-21+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000
χ494444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5444-2-21−521+52−1+5−1+5−1−5−1−51−521+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+520000000000000000000000000000000
χ504444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4-4221−521+521−51−51+51+51−521+521−521−521+521+5200-2−1+5−1−521−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ514444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44-4-2-21−521+521−51−51+51+51−521+521−521−521+521+520021−51+52−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ524444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-44221−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+520021−51+5-21−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000
χ5344-4-44−1−5−1+5-44-4−1−5−1+51+51−51+51−500000−1−5−1+500001+51−5−1−51+5−1+51−54i−4i000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000
χ5444-4-44−1−5−1+5-44-4−1−5−1+51+51−51+51−500000−1−5−1+500001+51−5−1−51+5−1+51−5−4i4i0000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000
χ5544-4-44−1+5−1−5-44-4−1+5−1−51−51+51−51+500000−1+5−1−500001−51+5−1+51−5−1−51+54i−4i000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000
χ5644-4-44−1+5−1−5-44-4−1+5−1−51−51+51−51+500000−1+5−1−500001−51+5−1+51−5−1−51+5−4i4i0000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000
χ5744-4-4-2442-2244-4-4-4-400000-2-2000022-22-22000000000000000000004-40000000000000000-2200000000000
χ5844-4-4-2442-2244-4-4-4-400000-2-2000022-22-2200000000000000000000-4400000000000000002-200000000000
χ594-44-4444-4-44-4-4-4-44400000440000-4-4-44-44000000000000000000000000000000000000000000000000000
χ604-44-44−1−5−1+5-4-441+51−51+51−5−1−5−1+500000−1−5−1+500001+51−51+5−1−51−5−1+50000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000
χ614-44-44−1−5−1+5-4-441+51−51+51−5−1−5−1+500000−1−5−1+500001+51−51+5−1−51−5−1+500000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000
χ624-44-44−1+5−1−5-4-441−51+51−51+5−1+5−1−500000−1+5−1−500001−51+51−5−1+51+5−1−500000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000
χ634-44-44−1+5−1−5-4-441−51+51−51+5−1+5−1−500000−1+5−1−500001−51+51−5−1+51+5−1−50000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000
χ644-44-4-24422-2-4-4-4-44400000-2-20000222-22-2000000000000000000000000000000000000−2i32i30000000000000
χ654-44-4-24422-2-4-4-4-44400000-2-20000222-22-20000000000000000000000000000000000002i3−2i30000000000000
χ664-4-444444-4-4-4-444-4-40000044000044-4-4-4-4000000000000000000000000000000000000000000000000000
χ674-4-444−1−5−1+54-4-41+51−5−1−5−1+51+51−500000−1−5−1+5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−5−1+51+51+51−51−50000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000
χ684-4-444−1−5−1+54-4-41+51−5−1−5−1+51+51−500000−1−5−1+52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−5−1+51+51+51−51−500000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000
χ694-4-444−1+5−1−54-4-41−51+5−1+5−1−51−51+500000−1+5−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+5−1−51−51−51+51+500000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000000
χ704-4-444−1+5−1−54-4-41−51+5−1+5−1−51−51+500000−1+5−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+5−1−51−51−51+51+50000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000
χ714-4-44-244-222-4-444-4-400023−23-2-20000-2-2222200000000000023−2323−2300000000000000000000000000000000000
χ724-4-44-244-222-4-444-4-4000−2323-2-20000-2-22222000000000000−2323−232300000000000000000000000000000000000
χ734-4-44-2−1−5−1+5-2221+51−5−1−5−1+51+51−500023−231+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+5200000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000000000000000000000000000
χ744-4-44-2−1−5−1+5-2221+51−5−1−5−1+51+51−500023−231+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+5200000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000000000000000000000
χ754-4-44-2−1−5−1+5-2221+51−5−1−5−1+51+51−5000−23231+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+5200000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000000000000000000000000000
χ764-4-44-2−1−5−1+5-2221+51−5−1−5−1+51+51−5000−23231+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+5200000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000000000000000000000
χ774-4-44-2−1+5−1−5-2221−51+5−1+5−1−51−51+500023−231−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−5200000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000000000000000000000000000
χ784-4-44-2−1+5−1−5-2221−51+5−1+5−1−51−51+500023−231−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−5200000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000000000000000000000000000
χ794-4-44-2−1+5−1−5-2221−51+5−1+5−1−51−51+5000−23231−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−5200000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000000000000000000000000000
χ804-4-44-2−1+5−1−5-2221−51+5−1+5−1−51−51+5000−23231−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−5200000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000000000000000000000000000
χ8188-8-8-4−2−25−2+254-44−2−25−2+252+252−252+252−25000001+51−50000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000
χ8288-8-8-4−2+25−2−254-44−2+25−2−252−252+252−252+25000001−51+50000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000
χ838-88-8-4−2−25−2+2544-42+252−252+252−25−2−25−2+25000001+51−50000−1−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000
χ848-88-8-4−2+25−2−2544-42−252+252−252+25−2+25−2−25000001−51+50000−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000

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