Finite Group Databasebeta

← Group #13088949

Character table — Group #13088949

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222444444444444444466668888888888881010101010101212121212121212121212121818181818182020202020202424242424242424303030303636606060609090
order1233455661010361212121215151515202030303030444415153030606060606060606024661212121212122020202020202020241010101066612121260606060606060602244202066121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-111111111-1-1-1-11111-1-111111-11-11111-1-1-1-1-1-1-1-11-111-1-11-11-111-1-111-1-11-11111111-1-1-111-1-111-1-11-11-1-1-11-11-1-11
χ101111-111111111-1-1-1-11111-1-111111-11-11111-1-1-1-1-1-1-1-1-11-1-1111-11-111-1-111-1-11-11111-1-1-111111-1-111-1-1-11-11-1-1-11-111-1
χ111111-111111111-1-1-1-11111-1-111111-1-111111-1-1-1-1-1-1-1-11-111-1-11-1-1111-1-1-1-111-11-1-1-1-1111-1-1-111-1-1-1-1111-1-11111-1-111-1
χ121111-111111111-1-1-1-11111-1-111111-1-111111-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-1-1-111-11-1-1-1-1-1-1-111111-1-1-1-111-111-111-111-1-11
χ131111-111111111-1-1-1-11111-1-11111-111-11111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-11111-1-1-11-1-1-1-1111-1-1-1-1-11111-1-1-111-111-111-11-1
χ141111-111111111-1-1-1-11111-1-11111-111-11111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-11111-1-1-11-1-1-1-1-1-1-1111-1-11111-1-11-1-11111-1-11-11
χ151111-111111111-1-1-1-11111-1-11111-11-111111-1-1-1-1-1-1-1-11-111-1-1-11-11-1-111-1-1111-11111111-1-1-1-1-111-1-111-11-11-1-1-11-11-11
χ161111-111111111-1-1-1-11111-1-11111-11-111111-1-1-1-1-1-1-1-1-11-1-111-11-11-1-111-1-1111-11111-1-1-1111-1-111-1-1111-11-1-1-11-11-11-1
χ1722222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000−1−52−1+52000000
χ1822222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022-2-2−1−52−1+52−1−52−1+521+521−521+521−52-2-21+521+521−521−52000000−1−52−1+52−1−52−1+521+521−521+521−5200001+521−52000000
χ1922222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+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+52000000-2-2221+521−521+521−52−1−52−1+52−1−52−1+52-2-21+521+521−521−520000001+521−521+521−52−1−52−1+52−1−52−1+5200001+521−52000000
χ2022222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-2-21+521−521+521−521+521−521+521−5222−1−52−1−52−1+52−1+520000001+521−521+521−521+521−521+521−520000−1−52−1+52000000
χ2122222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000−1+52−1−52000000
χ2222222−1+52−1−5222−1+52−1−52222222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022-2-2−1+52−1−52−1+52−1−521−521+521−521+52-2-21−521−521+521+52000000−1+52−1−52−1+52−1−521−521+521−521+5200001−521+52000000
χ2322222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52000000-2-2221−521+521−521+52−1+52−1−52−1+52−1−52-2-21−521−521+521+520000001−521+521−521+52−1+52−1−52−1+52−1−5200001−521+52000000
χ2422222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-21−521+521−521+521−521+521−521+5222−1+52−1+52−1−52−1−520000001−521+521−521+521−521+521−521+520000−1+52−1−52000000
χ252222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+522-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000002-22-2−1−52−1+521+521−52−1−52−1+521+521−522-2−1−52−1−52−1+52−1+52000000−1−52−1+521+521−52−1−52−1+521+521−5200001+521−52000000
χ262222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+522-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000002-2-22−1−52−1+521+521−521+521−52−1−52−1+52-221+521+521−521−52000000−1−52−1+521+521−521+521−52−1−52−1+520000−1−52−1+52000000
χ272222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-222-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000-222-21+521−52−1−52−1+52−1−52−1+521+521−52-221+521+521−521−520000001+521−52−1−52−1+52−1−52−1+521+521−520000−1−52−1+52000000
χ282222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-22-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000-22-221+521−52−1−52−1+521+521−52−1−52−1+522-2−1−52−1−52−1+52−1+520000001+521−52−1−52−1+521+521−52−1−52−1+5200001+521−52000000
χ292222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−522-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000002-22-2−1+52−1−521−521+52−1+52−1−521−521+522-2−1+52−1+52−1−52−1−52000000−1+52−1−521−521+52−1+52−1−521−521+5200001−521+52000000
χ302222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−522-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000002-2-22−1+52−1−521−521+521−521+52−1+52−1−52-221−521−521+521+52000000−1+52−1−521−521+521−521+52−1+52−1−520000−1+52−1−52000000
χ312222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-222-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000-222-21−521+52−1+52−1−52−1+52−1−521−521+52-221−521−521+521+520000001−521+52−1+52−1−52−1+52−1−521−521+520000−1+52−1−52000000
χ322222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-22-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000-22-221−521+52−1+52−1−521−521+52−1+52−1−522-2−1+52−1+52−1−52−1−520000001−521+52−1+52−1−521−521+52−1+52−1−5200001−521+52000000
χ33222-1222-1222-1-1-12-1-12-12-1222-12-12200-1-1-1-12-12-1-1-1-1-12222-1-1-1-10022220000000000-1-1-12-1-1-1-1-1-10000220000-1-10000
χ34222-1222-1222-1-1-12-1-12-12-1222-12-12200-1-1-1-12-12-1-1-1-1-1-2-2-2-211-1-10022220000000000111-211-1-1-1-10000-2-20000110000
χ35222-1222-1222-1-1-12-1-12-12-1222-12-1-2-200-1-1-1-12-12-1-1-1-1-12222-1-11100-2-2-2-20000000000-1-1-12-1-111110000-2-20000110000
χ36222-1222-1222-1-1-12-1-12-12-1222-12-1-2-200-1-1-1-12-12-1-1-1-1-1-2-2-2-2111100-2-2-2-20000000000111-21111110000220000-1-10000
χ37222-1-222-1222-1-11-2112-12-1-2-22-12-12-200-1-1-1-1-21-2111112-22211-110022-2-20000000000-1-1-1-211-1-11100002-20000-110000
χ38222-1-222-1222-1-11-2112-12-1-2-22-12-12-200-1-1-1-1-21-211111-22-2-2-1-1-110022-2-200000000001112-1-1-1-1110000-2200001-10000
χ39222-1-222-1222-1-11-2112-12-1-2-22-12-1-2200-1-1-1-1-21-2111112-222111-100-2-2220000000000-1-1-1-21111-1-10000-2200001-10000
χ40222-1-222-1222-1-11-2112-12-1-2-22-12-1-2200-1-1-1-1-21-211111-22-2-2-1-11-100-2-22200000000001112-1-111-1-100002-20000-110000
χ4122-122222-122-1-12-1-1-1-12-1222-12-120022-1-1-1-1-12-12-1-1-1-122-1-12200-1-1000022220000002-1-1-1-1-10000-1-1-1-100220000-1-100
χ4222-122222-122-1-12-1-1-1-12-1222-12-120022-1-1-1-1-12-12-1-1-1-1-2-211-2-200-1-100002222000000-2111110000-1-1-1-100-2-200001100
χ4322-122222-122-1-12-1-1-1-12-1222-12-1200-2-2-1-1-1-1-12-12-1-1-1-122-1-12200110000-2-2-2-20000002-1-1-1-1-10000111100-2-200001100
χ4422-122222-122-1-12-1-1-1-12-1222-12-1200-2-2-1-1-1-1-12-12-1-1-1-1-2-211-2-200110000-2-2-2-2000000-2111110000111100220000-1-100
χ4522-12-2222-122-1-1-2111-12-12-2-2-12-12002-2-1-1-1-11-21-211112-2-1-1-2-200-11000022-2-20000002-1-11110000-1-111002-20000-1100
χ4622-12-2222-122-1-1-2111-12-12-2-2-12-12002-2-1-1-1-11-21-21111-22112200-11000022-2-2000000-211-1-1-10000-1-11100-2200001-100
χ4722-12-2222-122-1-1-2111-12-12-2-2-12-1200-22-1-1-1-11-21-211112-2-1-1-2-2001-10000-2-2220000002-1-1111000011-1-100-2200001-100
χ4822-12-2222-122-1-1-2111-12-12-2-2-12-1200-22-1-1-1-11-21-21111-221122001-10000-2-222000000-211-1-1-1000011-1-1002-20000-1100
χ49444-24−1−5−1+5-24−1−5−1+5-2-2-24-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−5244001+521−521+521−52−1−51+52−1+51−521+521+521−521−52000000-2-200−1−5−1+5−1−5−1+500000000000000001+521−521+521−520000000000000000
χ50444-24−1−5−1+5-24−1−5−1+5-2-2-24-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−52-4-4001+521−521+521−52−1−51+52−1+51−521+521+521−521−5200000022001+51−51+51−50000000000000000−1−52−1+52−1−52−1+520000000000000000
χ51444-24−1+5−1−5-24−1+5−1−5-2-2-24-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+5244001−521+521−521+52−1+51−52−1−51+521−521−521+521+52000000-2-200−1+5−1−5−1+5−1−500000000000000001−521+521−521+520000000000000000
χ52444-24−1+5−1−5-24−1+5−1−5-2-2-24-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+52-4-4001−521+521−521+52−1+51−52−1−51+521−521−521+521+5200000022001−51+51−51+50000000000000000−1+52−1−52−1+52−1−520000000000000000
χ53444-2-4−1−5−1+5-24−1−5−1+5-2-22-422−1−51+52−1+51−521+51−5−1−51+52−1+51−524-4001+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+52000000-2200−1−5−1+51+51−500000000000000001+521−52−1−52−1+520000000000000000
χ54444-2-4−1−5−1+5-24−1−5−1+5-2-22-422−1−51+52−1+51−521+51−5−1−51+52−1+51−52-44001+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+520000002-2001+51−5−1−5−1+50000000000000000−1−52−1+521+521−520000000000000000
χ55444-2-4−1+5−1−5-24−1+5−1−5-2-22-422−1+51−52−1−51+521−51+5−1+51−52−1−51+524-4001−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−52000000-2200−1+5−1−51−51+500000000000000001−521+52−1+52−1−520000000000000000
χ56444-2-4−1+5−1−5-24−1+5−1−5-2-22-422−1+51−52−1−51+521−51+5−1+51−52−1−51+52-44001−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−520000002-2001−51+5−1+5−1−50000000000000000−1+52−1−521−521+520000000000000000
χ5744-244−1−5−1+54-2−1−5−1+5-2-24-2-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+500441+521−521+521−521+52−1−51−52−1+51+521+521−521−5200000000-2-20000−1−5−1+5−1−5−1+500000000000000001+521−521+521−52000000000000
χ5844-244−1−5−1+54-2−1−5−1+5-2-24-2-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+500-4-41+521−521+521−521+52−1−51−52−1+51+521+521−521−52000000002200001+51−51+51−50000000000000000−1−52−1+52−1−52−1+52000000000000
χ5944-244−1+5−1−54-2−1+5−1−5-2-24-2-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−500441−521+521−521+521−52−1+51+52−1−51−521−521+521+5200000000-2-20000−1+5−1−5−1+5−1−500000000000000001−521+521−521+52000000000000
χ6044-244−1+5−1−54-2−1+5−1−5-2-24-2-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−500-4-41−521+521−521+521−52−1+51+52−1−51−521−521+521+52000000002200001−51+51−51+50000000000000000−1+52−1−52−1+52−1−52000000000000
χ6144-24-4−1−5−1+54-2−1−5−1+5-2-2-42221+52−1−51−52−1+51+51−51+52−1−51−52−1+5004-41+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+5200000000-220000−1−5−1+51+51−500000000000000001+521−52−1−52−1+52000000000000
χ6244-24-4−1−5−1+54-2−1−5−1+5-2-2-42221+52−1−51−52−1+51+51−51+52−1−51−52−1+500-441+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+52000000002-200001+51−5−1−5−1+50000000000000000−1−52−1+521+521−52000000000000
χ6344-24-4−1+5−1−54-2−1+5−1−5-2-2-42221−52−1+51+52−1−51−51+51−52−1+51+52−1−5004-41−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−5200000000-220000−1+5−1−51−51+500000000000000001−521+52−1+52−1−52000000000000
χ6444-24-4−1+5−1−54-2−1+5−1−5-2-2-42221−52−1+51+52−1−51−51+51−52−1+51+52−1−500-441−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−52000000002-200001−51+5−1+5−1−50000000000000000−1+52−1−521−521+52000000000000
χ6544-2-2444-2-24411-2-211-2-2-2-244-2-2-2-200001111-2-2-2-2111144-2-2-2-2000000000000000000-211-21100000000000000000000
χ6644-2-2444-2-24411-2-211-2-2-2-244-2-2-2-200001111-2-2-2-21111-4-422220000000000000000002-1-12-1-100000000000000000000
χ6744-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-2000011112222-1-1-1-14-4-2-222000000000000000000-2112-1-100000000000000000000
χ6844-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-2000011112222-1-1-1-1-4422-2-20000000000000000002-1-1-21100000000000000000000
χ694-444044-4-4-4-44-40000444400-4-4-4-4000044-4-40000000000000000000000000000000000000000000000000000000000
χ704-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−50000−1−5−1+51+51−50000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000
χ714-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−50000−1−5−1+51+51−500000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000
χ724-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+50000−1+5−1−51−51+500000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000
χ734-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+50000−1+5−1−51−51+50000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000
χ744-44-20442-4-4-4-2200004-24-200-42-420000-2-22200000000000023−23000000000000000000000023−2300000000000000000000
χ754-44-20442-4-4-4-2200004-24-200-42-420000-2-222000000000000−23230000000000000000000000−232300000000000000000000
χ764-4-24044-42-4-4-220000-24-24002-42-40000-2-2220000000000−2i32i3000000000000000000000−2i32i300000000000000000000000
χ774-4-24044-42-4-4-220000-24-24002-42-40000-2-22200000000002i3−2i30000000000000000000002i3−2i300000000000000000000000
χ784-4-2-204422-4-41-1003i−3i-2-2-2-2002222000011-1-100003i−3i3i−3i00−2i32i323−230000000000000000000i3−i30−3300000000000000000000
χ794-4-2-204422-4-41-1003i−3i-2-2-2-2002222000011-1-100003i−3i3i−3i002i3−2i3−23230000000000000000000−i3i303−300000000000000000000
χ804-4-2-204422-4-41-100−3i3i-2-2-2-2002222000011-1-10000−3i3i−3i3i00−2i32i3−23230000000000000000000i3−i303−300000000000000000000
χ814-4-2-204422-4-41-100−3i3i-2-2-2-2002222000011-1-10000−3i3i−3i3i002i3−2i323−230000000000000000000−i3i30−3300000000000000000000
χ8288-4-48−2−25−2+25-4-4−2−25−2+2522-4-4221+51+51−51−5−2−25−2+251+51+51−51−50000−1−52−1+52−1−52−1+521+51+51−51−5−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000
χ8388-4-48−2+25−2−25-4-4−2+25−2−2522-4-4221−51−51+51+5−2+25−2−251−51−51+51+50000−1+52−1−52−1+52−1−521−51−51+51+5−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ8488-4-4-8−2−25−2+25-4-4−2−25−2+252244-2-21+51+51−51−52+252−251+51+51−51−50000−1−52−1+52−1−52−1+52−1−5−1−5−1+5−1+51+521+521−521−5200000000000000000000000000000000000000000000000000
χ8588-4-4-8−2+25−2−25-4-4−2+25−2−252244-2-21−51−51+51+52−252+251−51−51+51+50000−1+52−1−52−1+52−1−52−1+5−1+5−1−5−1−51−521−521+521+5200000000000000000000000000000000000000000000000000
χ868-88-40−2−25−2+254-82+252−25-440000−2−251+5−2+251−5002+25−1−52−25−1+500001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ878-88-40−2+25−2−254-82−252+25-440000−2+251−5−2−251+5002−25−1+52+25−1−500001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ888-8-480−2−25−2+25-842+252−25-4400001+5−2−251−5−2+2500−1−52+25−1+52−2500001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ898-8-480−2+25−2−25-842−252+25-4400001−5−2+251+5−2−2500−1+52−25−1−52+2500001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ908-8-4-40−2−25−2+25442+252−252-2006i−6i1+51+51−51−500−1−5−1−5−1+5−1+50000−1−52−1+521+521−520000−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ4700000000000000000000000000000000000000000000000000
χ918-8-4-40−2−25−2+25442+252−252-200−6i6i1+51+51−51−500−1−5−1−5−1+5−1+50000−1−52−1+521+521−5200003ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ4700000000000000000000000000000000000000000000000000
χ928-8-4-40−2+25−2−25442−252+252-2006i−6i1−51−51+51+500−1+5−1+5−1−5−1−50000−1+52−1−521−521+520000−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ5900000000000000000000000000000000000000000000000000
χ938-8-4-40−2+25−2−25442−252+252-200−6i6i1−51−51+51+500−1+5−1+5−1−5−1−50000−1+52−1−521−521+5200003ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ5900000000000000000000000000000000000000000000000000

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