Finite Group Databasebeta

← Group #13088945

Character table — Group #13088945

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222224444444444444466668888888888888101012121212121212121212121218181818181820202020242424242424242430303030303030303636404060609090
order123345566101036121215151515202030303030444412151530306060606060606060221212121220202020202020202410101010666660606060606060602244121212122020666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111-1-1-1
χ4111111111111111111111111111-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1111
χ51111111111111111111111111-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-11-1-1
χ61111111111111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-11-111
χ71111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ91111-111111111-1-11111-1-111111-11-1-11111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11-1111111-1-111-1-111-1-11-1-11-1-111-1-11-11-11-1
χ101111-111111111-1-11111-1-111111-11-1-11111-1-1-1-1-1-1-1-1-111-11-111-1-111-1-11-11111-1-11111-1-111-1-1-111-111-1-1-1-1-11-11-11
χ111111-111111111-1-11111-1-111111-1-11-11111-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-111-11
χ121111-111111111-1-11111-1-111111-1-11-11111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-111111111-11-1-11-1
χ131111-111111111-1-11111-1-11111-111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-11
χ141111-111111111-1-11111-1-11111-111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-11-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-11111-1
χ151111-111111111-1-11111-1-11111-11-11-11111-1-1-1-1-1-1-1-11-1-11-11-1-111-1-1111-1111111-1-1-1-111-1-111-111-111-1-1-1-11-1-111-1
χ161111-111111111-1-11111-1-11111-11-11-11111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1111-11111-1-111-1-111-1-1111-1-11-1-111-1-1-111-1-11
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+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+52000000
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+5222-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022-2-2−1−52−1+52−1−52−1+521+521−521+521−52-2-21+521+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52000000001+521−52000000
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+52-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2221+521−521+521−52−1−52−1+52−1−52−1+52-2-21+521+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+52000000001+521−52000000
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+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-21+521−521+521−521+521−521+521−5222−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−5200000000−1−52−1+52000000
χ2122222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000−1+52−1−52000000
χ2222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022-2-2−1+52−1−52−1+52−1−521−521+521−521+52-2-21−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+52000000001−521+52000000
χ2322222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2221−521+521−521+52−1+52−1−52−1+52−1−52-2-21−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−52000000001−521+52000000
χ2422222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-21−521+521−521+521−521+521−521+5222−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+5200000000−1+52−1−52000000
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+522-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52002-22-2−1−52−1+521+521−52−1−52−1+521+521−522-2−1−52−1−52−1+52−1+520000−1−52−1+521+521−52−1−52−1+521+521−52000000001+521−52000000
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+522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52002-2-22−1−52−1+521+521−521+521−52−1−52−1+52-221+521+521−521−520000−1−52−1+521+521−521+521−52−1−52−1+5200000000−1−52−1+52000000
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+52-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200-222-21+521−52−1−52−1+52−1−52−1+521+521−52-221+521+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−5200000000−1−52−1+52000000
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+52-22-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200-22-221+521−52−1−52−1+521+521−52−1−52−1+522-2−1−52−1−52−1+52−1+5200001+521−52−1−52−1+521+521−52−1−52−1+52000000001+521−52000000
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+52−1−52−1−522-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52002-22-2−1+52−1−521−521+52−1+52−1−521−521+522-2−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−521−521+52000000001−521+52000000
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+52−1−52−1−522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52002-2-22−1+52−1−521−521+521−521+52−1+52−1−52-221−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−5200000000−1+52−1−52000000
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+52−1−52−1−52-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200-222-21−521+52−1+52−1−52−1+52−1−521−521+52-221−521−521+521+5200001−521+52−1+52−1−52−1+52−1−521−521+5200000000−1+52−1−52000000
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+52−1−52−1−52-22-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200-22-221−521+52−1+52−1−521−521+52−1+52−1−522-2−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−52000000001−521+52000000
χ33222-12222-122-1-12-12-12-1222-12-10022-1-1-1-1-12-12-1-1-1-1-12200-1-1000022220000002-12-10000-1-1-1-1020200-1-100-1-10-100
χ34222-12222-122-1-12-12-12-1222-12-10022-1-1-1-1-12-12-1-1-1-1-1-2-200-1-100002222000000-21-210000-1-1-1-10-20-2001100110100
χ35222-12222-122-1-12-12-12-1222-12-100-2-2-1-1-1-1-12-12-1-1-1-1-12200110000-2-2-2-20000002-12-1000011110-20-2001100-1-10100
χ36222-12222-122-1-12-12-12-1222-12-100-2-2-1-1-1-1-12-12-1-1-1-1-1-2-200110000-2-2-2-2000000-21-2100001111020200-1-100110-100
χ37222-1-2222-122-1-1-212-12-1-2-22-12-1002-21-1-1-1-1-21-2111112-200-11000022-2-20000002-1-210000-1-1110-20200-1-100-110100
χ38222-1-2222-122-1-1-212-12-1-2-22-12-1002-21-1-1-1-1-21-211111-2200-11000022-2-2000000-212-10000-1-111020-20011001-10-100
χ39222-1-2222-122-1-1-212-12-1-2-22-12-100-221-1-1-1-1-21-2111112-2001-10000-2-2220000002-1-21000011-1-1020-2001100-110-100
χ40222-1-2222-122-1-1-212-12-1-2-22-12-100-221-1-1-1-1-21-211111-22001-10000-2-222000000-212-1000011-1-10-20200-1-1001-10100
χ4122-12222-1222-1-1-12-12-1222-12-122200-1-1-1-1-1-12-12-1-1-1-122-1-10022220000000000-12-12-1-1-1-100002020-1-10000-1-1-1000
χ4222-12222-1222-1-1-12-12-1222-12-122200-1-1-1-1-1-12-12-1-1-1-1-2-2-1-100222200000000001-21-2-1-1-1-10000-20-20110000111000
χ4322-12222-1222-1-1-12-12-1222-12-12-2-200-1-1-1-1-1-12-12-1-1-1-1221100-2-2-2-20000000000-12-1211110000-20-20110000-1-11000
χ4422-12222-1222-1-1-12-12-1222-12-12-2-200-1-1-1-1-1-12-12-1-1-1-1-2-21100-2-2-2-200000000001-21-2111100002020-1-1000011-1000
χ4522-12-222-1222-1-11-2-12-12-2-2-12-122-2001-1-1-1-11-21-211112-2-110022-2-20000000000-121-2-1-111000020-20110000-11-1000
χ4622-12-222-1222-1-11-2-12-12-2-2-12-122-2001-1-1-1-11-21-21111-22-110022-2-200000000001-2-12-1-1110000-2020-1-100001-11000
χ4722-12-222-1222-1-11-2-12-12-2-2-12-12-22001-1-1-1-11-21-211112-21-100-2-2220000000000-121-211-1-10000-2020-1-10000-111000
χ4822-12-222-1222-1-11-2-12-12-2-2-12-12-22001-1-1-1-11-21-21111-221-100-2-22200000000001-2-1211-1-1000020-201100001-1-1000
χ49444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−520044-21+521−521+521−52−1−51+52−1+51−521+521+521−521−520000-2-20000−1−5−1+5−1−5−1+5000000000000001+521−521+521−520000000000000000
χ50444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−5200-4-4-21+521−521+521−52−1−51+52−1+51−521+521+521−521−5200002200001+51−51+51−500000000000000−1−52−1+52−1−52−1+520000000000000000
χ51444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+520044-21−521+521−521+52−1+51−52−1−51+521−521−521+521+520000-2-20000−1+5−1−5−1+5−1−5000000000000001−521+521−521+520000000000000000
χ52444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+5200-4-4-21−521+521−521+52−1+51−52−1−51+521−521−521+521+5200002200001−51+51−51+500000000000000−1+52−1−52−1+52−1−520000000000000000
χ53444-2-4−1−5−1+54-2−1−5−1+5-2-2-42−1−51+52−1+51−521+51−5−1−51+52−1+51−52004-421+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+520000-220000−1−5−1+51+51−5000000000000001+521−52−1−52−1+520000000000000000
χ54444-2-4−1−5−1+54-2−1−5−1+5-2-2-42−1−51+52−1+51−521+51−5−1−51+52−1+51−5200-4421+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+5200002-200001+51−5−1−5−1+500000000000000−1−52−1+521+521−520000000000000000
χ55444-2-4−1+5−1−54-2−1+5−1−5-2-2-42−1+51−52−1−51+521−51+5−1+51−52−1−51+52004-421−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−520000-220000−1+5−1−51−51+5000000000000001−521+52−1+52−1−520000000000000000
χ56444-2-4−1+5−1−54-2−1+5−1−5-2-2-42−1+51−52−1−51+521−51+5−1+51−52−1−51+5200-4421−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−5200002-200001−51+5−1+5−1−500000000000000−1+52−1−521−521+520000000000000000
χ5744-244−1−5−1+5-24−1−5−1+5-2-2-241+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+54400-21+521−521+521−521+52−1−51−52−1+51+521+521−521−5200-2-200−1−5−1+5−1−5−1+5000000000000001+521−521+521−5200000000000000000000
χ5844-244−1−5−1+5-24−1−5−1+5-2-2-241+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+5-4-400-21+521−521+521−521+52−1−51−52−1+51+521+521−521−520022001+51−51+51−500000000000000−1−52−1+52−1−52−1+5200000000000000000000
χ5944-244−1+5−1−5-24−1+5−1−5-2-2-241−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−54400-21−521+521−521+521−52−1+51+52−1−51−521−521+521+5200-2-200−1+5−1−5−1+5−1−5000000000000001−521+521−521+5200000000000000000000
χ6044-244−1+5−1−5-24−1+5−1−5-2-2-241−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−5-4-400-21−521+521−521+521−52−1+51+52−1−51−521−521+521+520022001−51+51−51+500000000000000−1+52−1−52−1+52−1−5200000000000000000000
χ6144-24-4−1−5−1+5-24−1−5−1+5-2-22-41+52−1−51−52−1+51+51−51+52−1−51−52−1+54-40021+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+5200-2200−1−5−1+51+51−5000000000000001+521−52−1−52−1+5200000000000000000000
χ6244-24-4−1−5−1+5-24−1−5−1+5-2-22-41+52−1−51−52−1+51+51−51+52−1−51−52−1+5-440021+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+52002-2001+51−5−1−5−1+500000000000000−1−52−1+521+521−5200000000000000000000
χ6344-24-4−1+5−1−5-24−1+5−1−5-2-22-41−52−1+51+52−1−51−51+51−52−1+51+52−1−54-40021−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−5200-2200−1+5−1−51−51+5000000000000001−521+52−1+52−1−5200000000000000000000
χ6444-24-4−1+5−1−5-24−1+5−1−5-2-22-41−52−1+51+52−1−51−51+51−52−1+51+52−1−5-440021−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−52002-2001−51+5−1+5−1−500000000000000−1+52−1−521−521+5200000000000000000000
χ6544-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2000011111-2-2-2-2111144000000000000000000-2-2-2-2000000000000000000110000
χ6644-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2000011111-2-2-2-21111-4-40000000000000000002222000000000000000000-1-10000
χ6744-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-20000-111112222-1-1-1-14-4000000000000000000-2-2220000000000000000001-10000
χ6844-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-20000-111112222-1-1-1-1-4400000000000000000022-2-2000000000000000000-110000
χ694-444044-4-4-4-44-400444400-4-4-4-40000044-4-400000000000000000000000000000000000000000000000000000000
χ704-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51+51−51−500000−1−5−1+51+51−5000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000
χ714-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51+51−51−500000−1−5−1+51+51−50000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000
χ724-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51−51+51+500000−1+5−1−51−51+50000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000
χ734-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51−51+51+500000−1+5−1−51−51+5000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000
χ744-44-2044-42-4-4-22004-24-200-42-4200000-2-222000000000000000000000000000000000000000000000023−2300000000
χ754-44-2044-42-4-4-22004-24-200-42-4200000-2-2220000000000000000000000000000000000000000000000−232300000000
χ764-4-240442-4-4-4-2200-24-24002-42-400000-2-2220000000000000000000000000000000000000000000023−230000000000
χ774-4-240442-4-4-4-2200-24-24002-42-400000-2-22200000000000000000000000000000000000000000000−23230000000000
χ7888-4-48−2−25−2+25-4-4−2−25−2+2522-4-41+51+51−51−5−2−25−2+251+51+51−51−500002−1−52−1+52−1−52−1+521+51+51−51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000000
χ7988-4-48−2+25−2−25-4-4−2+25−2−2522-4-41−51−51+51+5−2+25−2−251−51−51+51+500002−1+52−1−52−1+52−1−521−51−51+51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000000
χ8088-4-4-8−2−25−2+25-4-4−2−25−2+2522441+51+51−51−52+252−251+51+51−51−50000-2−1−52−1+52−1−52−1+52−1−5−1−5−1+5−1+51+521+521−521−52000000000000000000000000000000000000000000000000
χ8188-4-4-8−2+25−2−25-4-4−2+25−2−2522441−51−51+51+52−252+251−51−51+51+50000-2−1+52−1−52−1+52−1−52−1+5−1+5−1−5−1−51−521−521+521+52000000000000000000000000000000000000000000000000
χ828-88-40−2−25−2+25-842+252−25-4400−2−251+5−2+251−5002+25−1−52−25−1+5000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ838-88-40−2+25−2−25-842−252+25-4400−2+251−5−2−251+5002−25−1+52+25−1−5000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ848-8-480−2−25−2+254-82+252−25-44001+5−2−251−5−2+2500−1−52+25−1+52−25000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ858-8-480−2+25−2−254-82−252+25-44001−5−2+251+5−2−2500−1+52−25−1−52+25000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ868-8-4-408844-8-82-200-4-4-4-40044440000022-2-200000000000000000000000000000000000000000000000000000000
χ878-8-4-40−2−25−2+25442+252−252-2001+51+51−51−500−1−5−1−5−1+5−1+500000−1−52−1+521+521−520000−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ593ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ47000000000000000000000000000000000000000000000000
χ888-8-4-40−2−25−2+25442+252−252-2001+51+51−51−500−1−5−1−5−1+5−1+500000−1−52−1+521+521−5200003ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ59−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ47000000000000000000000000000000000000000000000000
χ898-8-4-40−2+25−2−25442−252+252-2001−51−51+51+500−1+5−1+5−1−5−1−500000−1+52−1−521−521+5200003ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ473ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ59000000000000000000000000000000000000000000000000
χ908-8-4-40−2+25−2−25442−252+252-2001−51−51+51+500−1+5−1+5−1−5−1−500000−1+52−1−521−521+520000−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ47−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ59000000000000000000000000000000000000000000000000

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