Finite Group Databasebeta

← Group #13088944

Character table — Group #13088944

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222244444444444444444466666666668888888888810101212121212121212121212121212121212181820202020242424243030303030303636363640406060609090
order123345566101036121215151515202030303030606060602444101010101212121515303060606060606022612122020202020203030303060606060446666606060602444121220202020666121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11-1-111
χ511111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-1-1-1-1
χ611111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111-1-1
χ91111-111111111-1-11111-1-11111-1-1-1-11-11-11111-1-1-11111-1-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-1-1-111-1-11-111-1-11
χ101111-111111111-1-11111-1-11111-1-1-1-11-11-11111-1-1-11111-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11-1-11-1111-1-1-1-1111111-1-1-11-1-111-1
χ111111-111111111-1-11111-1-11111-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-11-11-11-1-1-1-1111111-1-1-1-1-111-11-1-1-111-11-1111-1-1111-1-11-11-1
χ121111-111111111-1-11111-1-11111-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-11-11-11-1-1111-11-1-1-1-1-111-111-11-11
χ131111-111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-111-11-111-1-11-11-1-1-1-1-1111-11-111-1
χ141111-111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-11111-11-11-1111-1-1-11-1111-1-111-11-11-1-11
χ151111-111111111-1-11111-1-11111-1-1-1-1-11-11-1-1-1-111-11111-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-111111-11-11-1-1-111-1-1111111-1-11-1-1-11-11
χ161111-111111111-1-11111-1-11111-1-1-1-1-11-11-1-1-1-111-11111-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111111-1-11-11-1-11111-1-1-1-111-1-1-1111-11-1
χ1722222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+520000000
χ1822222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-2-2−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200001+521−521+521−520000001+521−521+521−520000000
χ1922222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2221+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-20000−1−52−1+52−1−52−1+520000001+521−521+521−520000000
χ2022222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52-2-22−1−52−1+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+521−521−521+521+521−521−522200001+521−521+521−52000000−1−52−1+52−1−52−1+520000000
χ2122222−1+52−1−5222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52220000−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−520000000
χ2222222−1+52−1−5222−1+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+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-2-2−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200001−521+521−521+520000001−521+521−521+520000000
χ2322222−1+52−1−5222−1+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+52−1−52−1−52-2-2221−521−521+521+52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2221−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-20000−1+52−1−52−1+52−1−520000001−521+521−521+520000000
χ2422222−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+52-2-22−1+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+521−521−521+521+521−521−521+521+522200001−521+521−521+52000000−1+52−1−52−1+52−1−520000000
χ252222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+52-2-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−520022-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000−1−52−1+521+521−52000000−1−52−1+521+521−520000000
χ262222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-2-22−1−52−1−52−1+52−1+52-2-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52002-221+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2200001+521−52−1−52−1+520000001+521−52−1−52−1+520000000
χ272222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-222-21+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5200-22-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-220000−1−52−1+521+521−520000001+521−52−1−52−1+520000000
χ282222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-22-221+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5200-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-200001+521−52−1−52−1+52000000−1−52−1+521+521−520000000
χ292222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+520022-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000−1+52−1−521−521+52000000−1+52−1−521−521+520000000
χ302222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-2-22−1+52−1+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52002-221−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200001−521+52−1+52−1−520000001−521+52−1+52−1−520000000
χ312222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-222-21−521−521+521+5222-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5200-22-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-220000−1+52−1−521−521+520000001−521+52−1+52−1−520000000
χ322222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-22-221−521−521+521+5222-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5200-2-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-200001−521+52−1+52−1−52000000−1+52−1−521−521+520000000
χ33222-1222-1222-1-1-12-1-1222222-1-122220022000000-1-1-1-1-1-1-1-1-1-1-1220-1-1002222000000000022-1-1-1-1-1-12002-1-10000-1-1-10000
χ34222-1222-1222-1-1-12-1-1222222-1-122220022000000-1-1-1-1-1-1-1-1-1-1-1-2-20-1-10022220000000000-2-211-1-1-1-1-200-21100001110000
χ35222-1222-1222-1-1-12-1-1222222-1-1222200-2-2000000-1-1-1-1-1-1-1-1-1-1-12201100-2-2-2-2000000000022-1-11111-200-2110000-1-110000
χ36222-1222-1222-1-1-12-1-1222222-1-1222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-2-201100-2-2-2-20000000000-2-21111112002-1-1000011-10000
χ37222-1-222-1222-1-11-2-1-122-2-222-1-1-2-2-2-2002-20000001-1-1-1-11111112-20-110022-2-200000000002-2-11-1-111200-2110000-11-10000
χ38222-1-222-1222-1-11-2-1-122-2-222-1-1-2-2-2-2002-20000001-1-1-1-1111111-220-110022-2-20000000000-221-1-1-111-2002-1-100001-110000
χ39222-1-222-1222-1-11-2-1-122-2-222-1-1-2-2-2-200-220000001-1-1-1-11111112-201-100-2-22200000000002-2-1111-1-1-2002-1-10000-1110000
χ40222-1-222-1222-1-11-2-1-122-2-222-1-1-2-2-2-200-220000001-1-1-1-1111111-2201-100-2-2220000000000-221-111-1-1200-21100001-1-10000
χ4122-122222-122-1-12-122-1-122-1-122-1-1-1-122002222-1-1-1-1-1-1-122-1-1-1-122-100220000-1-1-1-1-1-1-1-100-1-12200000220000000-1-10-1-100
χ4222-122222-122-1-12-122-1-122-1-122-1-1-1-122002222-1-1-1-1-1-1-122-1-1-1-1-2-2-100220000-1-1-1-1-1-1-1-10011-2-200000-2-200000001101100
χ4322-122222-122-1-12-122-1-122-1-122-1-1-1-1-2-200-2-2-2-211-1-1-1-1-122-1-1-1-122100-2-200001111111100-1-12200000-2-20000000-1-101100
χ4422-122222-122-1-12-122-1-122-1-122-1-1-1-1-2-200-2-2-2-211-1-1-1-1-122-1-1-1-1-2-2100-2-20000111111110011-2-200000220000000110-1-100
χ4522-12-2222-122-1-1-2122-1-1-2-2-1-12211112-2002222111-1-1-1-1-2-211112-2-100-2-20000-1-1-1-1111100-112-2000002-20000000-110-1100
χ4622-12-2222-122-1-1-2122-1-1-2-2-1-12211112-2002222111-1-1-1-1-2-21111-22-100-2-20000-1-1-1-11111001-1-2200000-2200000001-101-100
χ4722-12-2222-122-1-1-2122-1-1-2-2-1-1221111-2200-2-2-2-2-1-11-1-1-1-1-2-211112-21002200001111-1-1-1-100-112-200000-220000000-1101-100
χ4822-12-2222-122-1-1-2122-1-1-2-2-1-1221111-2200-2-2-2-2-1-11-1-1-1-1-2-21111-221002200001111-1-1-1-1001-1-22000002-200000001-10-1100
χ49444-24−1−5−1+5-24−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+50044000000-21+521−521+521−521+521−521+521+521−521−52000-2-200−1−5−1+5−1−5−1+5000000000000001+521−521+521−5200000000000000000
χ50444-24−1−5−1+5-24−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+500-4-4000000-21+521−521+521−521+521−521+521+521−521−5200022001+51−51+51−500000000000000−1−52−1+52−1−52−1+5200000000000000000
χ51444-24−1+5−1−5-24−1+5−1−5-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−50044000000-21−521+521−521+521−521+521−521−521+521+52000-2-200−1+5−1−5−1+5−1−5000000000000001−521+521−521+5200000000000000000
χ52444-24−1+5−1−5-24−1+5−1−5-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−500-4-4000000-21−521+521−521+521−521+521−521−521+521+5200022001−51+51−51+500000000000000−1+52−1−52−1+52−1−5200000000000000000
χ53444-2-4−1−5−1+5-24−1−5−1+5-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−521+51+51−51−5004-400000021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52000-2200−1−5−1+51+51−5000000000000001+521−52−1−52−1+5200000000000000000
χ54444-2-4−1−5−1+5-24−1−5−1+5-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−521+51+51−51−500-4400000021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520002-2001+51−5−1−5−1+500000000000000−1−52−1+521+521−5200000000000000000
χ55444-2-4−1+5−1−5-24−1+5−1−5-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+521−51−51+51+5004-400000021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52000-2200−1+5−1−51−51+5000000000000001−521+52−1+52−1−5200000000000000000
χ56444-2-4−1+5−1−5-24−1+5−1−5-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+521−51−51+51+500-4400000021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520002-2001−51+5−1+5−1−500000000000000−1+52−1−521−521+5200000000000000000
χ5744-244−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+51+521+521−521−524400−1−5−1−5−1+5−1+5-2-2-21+521−521+521−52−1−5−1+51+521+521−521−5200-200−1−5−1+500001+521+521−521−521+521+521−521−52000000000000000000000000000
χ5844-244−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+51+521+521−521−52-4-4001+51+51−51−522-21+521−521+521−52−1−5−1+51+521+521−521−52002001+51−50000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ5944-244−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−51−521−521+521+524400−1+5−1+5−1−5−1−5-2-2-21−521+521−521+52−1+5−1−51−521−521+521+5200-200−1+5−1−500001−521−521+521+521−521−521+521+52000000000000000000000000000
χ6044-244−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−51−521−521+521+52-4-4001−51−51+51+522-21−521+521−521+52−1+5−1−51−521−521+521+52002001−51+50000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ6144-24-4−1−5−1+54-2−1−5−1+5-2-2-42−1−5−1+51+521−521+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+524-400−1−5−1−5−1+5−1+52221+521−521+521−521+51−5−1−52−1−52−1+52−1+5200-2001+51−500001+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ6244-24-4−1−5−1+54-2−1−5−1+5-2-2-42−1−5−1+51+521−521+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+52-44001+51+51−51−5-2-221+521−521+521−521+51−5−1−52−1−52−1+52−1+5200200−1−5−1+50000−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000
χ6344-24-4−1+5−1−54-2−1+5−1−5-2-2-42−1+5−1−51−521+521−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−524-400−1+5−1+5−1−5−1−52221−521+521−521+521−51+5−1+52−1+52−1−52−1−5200-2001−51+500001−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ6444-24-4−1+5−1−54-2−1+5−1−5-2-2-42−1+5−1−51−521+521−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−52-44001−51−51+51+5-2-221−521+521−521+521−51+5−1+52−1+52−1−52−1−5200200−1+5−1−50000−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000
χ6544-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-2000000000011111-2-21111440000000000000000000-2-2-2-2000000000000001100000
χ6644-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-2000000000011111-2-21111-4-40000000000000000000222200000000000000-1-100000
χ6744-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-222220000000000-1111122-1-1-1-14-40000000000000000000-22-22000000000000001-100000
χ6844-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-222220000000000-1111122-1-1-1-1-4400000000000000000002-22-200000000000000-1100000
χ694-444044-4-4-4-44-400444400-4-4-4-400000000000000044-4-40000000000000000000000000000000000000000000000000000
χ704-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−500000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000−1−5−1+51+51−500000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000
χ714-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−5000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000−1−5−1+51+51−5000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000000
χ724-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000−1+5−1−51−51+5000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000
χ734-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000−1+5−1−51−51+500000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000
χ744-44-20442-4-4-4-2200-2-24400-4-422000000000000000-2-22200000000000000000000000000000000000000023−2300000000000
χ754-44-20442-4-4-4-2200-2-24400-4-422000000000000000-2-222000000000000000000000000000000000000000−232300000000000
χ764-4-24044-42-4-4-220044-2-20022-4-400000000000023−230-2-22200000000000000000000023−2323−23000000000000000000000000000
χ774-4-24044-42-4-4-220044-2-20022-4-4000000000000−23230-2-222000000000000000000000−2323−2323000000000000000000000000000
χ784-4-240−1−5−1+5-421+51−5-2200−1−5−1+51+521−5200−1−52−1+521+51−5ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5823−2301+521−52−1−52−1+5200ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000ζ14−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+ζ47000000000000000000000000000
χ794-4-240−1−5−1+5-421+51−5-2200−1−5−1+51+521−5200−1−52−1+521+51−5ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−232301+521−52−1−52−1+5200ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000−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−ζ47000000000000000000000000000
χ804-4-240−1−5−1+5-421+51−5-2200−1−5−1+51+521−5200−1−52−1+521+51−5−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−232301+521−52−1−52−1+5200−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000ζ14−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−ζ47000000000000000000000000000
χ814-4-240−1−5−1+5-421+51−5-2200−1−5−1+51+521−5200−1−52−1+521+51−5−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5823−2301+521−52−1−52−1+5200−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000−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+ζ47000000000000000000000000000
χ824-4-240−1+5−1−5-421−51+5-2200−1+5−1−51−521+5200−1+52−1−521−51+5−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4623−2301−521+52−1+52−1−5200−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000−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+ζ59000000000000000000000000000
χ834-4-240−1+5−1−5-421−51+5-2200−1+5−1−51−521+5200−1+52−1−521−51+5−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−232301−521+52−1+52−1−5200−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000ζ2+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−ζ59000000000000000000000000000
χ844-4-240−1+5−1−5-421−51+5-2200−1+5−1−51−521+5200−1+52−1−521−51+5ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−232301−521+52−1+52−1−5200ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000−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−ζ59000000000000000000000000000
χ854-4-240−1+5−1−5-421−51+5-2200−1+5−1−51−521+5200−1+52−1−521−51+5ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4623−2301−521+52−1+52−1−5200ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000ζ2+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+ζ59000000000000000000000000000
χ8688-4-48−2−25−2+25-4-4−2−25−2+2522-4-41+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−500000000002−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000
χ8788-4-48−2+25−2−25-4-4−2+25−2−2522-4-41−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+500000000002−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000
χ8888-4-4-8−2−25−2+25-4-4−2−25−2+2522441+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+50000000000-2−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−520000000000000000000000000000000000000000000000
χ8988-4-4-8−2+25−2−25-4-4−2+25−2−2522441−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−50000000000-2−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+520000000000000000000000000000000000000000000000
χ908-88-40−2−25−2+254-82+252−25-44001+51−5−2−25−2+25002+252−25−1−5−1+50000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ918-88-40−2+25−2−254-82−252+25-44001−51+5−2+25−2−25002−252+25−1+5−1−50000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000
χ928-8-4-408844-8-82-200-4-4-4-400444400000000000000022-2-20000000000000000000000000000000000000000000000000000
χ938-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+52ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ4700000000000−1−52−1+521+521−5200−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000000000000000000000000000
χ948-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ4700000000000−1−52−1+521+521−5200ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000000000000000000000000000
χ958-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ5900000000000−1+52−1−521−521+5200ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000000000000000
χ968-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ5900000000000−1+52−1−521−521+5200−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000000000000000000000000000

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