Finite Group Databasebeta

← Group #13088960

Character table — Group #13088960

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222224444444444444466668888888888888101012121212121212121212121218181818181820202020242424242424242430303030303030303636404060609090
order123345566101036121215151515202030303030224412151530306060606060606060446610101010121220202020242020202012121212303030306060606022446612121010121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-1111-1-1-1
χ4111111111111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-111-11-1-1
χ61111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-11-111
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
χ91111-111111111-1-11111-1-111111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-11-1-1-1-1-11-11-111-1-111-1-11-1-11-1-1-1-1111-1111-1
χ101111-111111111-1-11111-1-111111-11-1-11111-1-1-1-1-1-1-1-1-111-111-1-11-111-1-11-1-1-1-1-1-11-1111-1-111-1-1-111-1111111-11-1-1-11
χ111111-111111111-1-11111-1-111111-1-11-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1111111-11-111-1-1-1-11111-1-111-1-1-1-11-11-1-11
χ121111-111111111-1-11111-1-111111-1-11-11111-1-1-1-1-1-1-1-1-111-111-1-1-11-1-111-111111-11-1111-1-1-1-111-1-111-1-111-1-1-11-111-1
χ131111-111111111-1-11111-1-11111-111-1-11111-1-1-1-1-1-1-1-11-1-11-1-1111-111-1-1-1111111-11-1-1-11111-1-1-1-111-1-111-1-11-1-11-11
χ141111-111111111-1-11111-1-11111-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-111111-11-11-1-11111-1-111-1-111-1-1-1-1-111-11-1
χ151111-111111111-1-11111-1-11111-11-11-11111-1-1-1-1-1-1-1-11-1-11-1-111-11-1-1111-1-1-1-1-11-11-1-1-111-1-111-111-11111111-1-1-11-1
χ161111-111111111-1-11111-1-11111-11-11-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1111-1-1-1-1-1-11-11-1-111-1-1111-1-11-1-1-1-111-1111-11
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+520022−1−52−1+52−1−52−1+5222−1−52−1+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+520022−1−52−1+52−1−52−1+52-2-21+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+5200-2-21+521−521+521−5222−1−52−1+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+5200-2-21+521−521+521−52-2-21+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+52−1−52−1−520022−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−520022−1+52−1−52−1+52−1−52-2-21−521+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+52−1−52−1−5200-2-21−521+521−521+5222−1+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+52−1−52−1−5200-2-21−521+521−521+52-2-21−521+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+521−521−52002-2−1−52−1+521+521−522-2−1−52−1+521+521−522-21+521+521−521−520000−1−52−1+521+521−52−1−52−1+521+521−5200000000−1−52−1+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+521−521−52002-2−1−52−1+521+521−52-221+521−52−1−52−1+52-22−1−52−1−52−1+52−1+520000−1−52−1+521+521−521+521−52−1−52−1+52000000001+521−52000000
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+521−521−5200-221+521−52−1−52−1+522-2−1−52−1+521+521−52-22−1−52−1−52−1+52−1+5200001+521−52−1−52−1+52−1−52−1+521+521−52000000001+521−52000000
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+521−521−5200-221+521−52−1−52−1+52-221+521−52−1−52−1+522-21+521+521−521−5200001+521−52−1−52−1+521+521−52−1−52−1+5200000000−1−52−1+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+52002-2−1+52−1−521−521+522-2−1+52−1−521−521+522-21−521−521+521+520000−1+52−1−521−521+52−1+52−1−521−521+5200000000−1+52−1−52000000
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+52002-2−1+52−1−521−521+52-221−521+52−1+52−1−52-22−1+52−1+52−1−52−1−520000−1+52−1−521−521+521−521+52−1+52−1−52000000001−521+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+5200-221−521+52−1+52−1−522-2−1+52−1−521−521+52-22−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52−1+52−1−521−521+52000000001−521+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+5200-221−521+52−1+52−1−52-221−521+52−1+52−1−522-21−521−521+521+5200001−521+52−1+52−1−521−521+52−1+52−1−5200000000−1+52−1−52000000
χ33222-1222-1222-1-1-1222-1-122-1-1222200-1-1-1-1-1-1-122-1-1-1-122-1-12222000000000000-1-122-1-1-1-10000202000-1-100-1-1-1000
χ34222-1222-1222-1-1-1222-1-122-1-1222200-1-1-1-1-1-1-122-1-1-1-1-2-2-1-1222200000000000011-2-2-1-1-1-10000-20-20001100111000
χ35222-1222-1222-1-1-1222-1-122-1-122-2-200-1-1-1-1-1-1-122-1-1-1-12211-2-2-2-2000000000000-1-12211110000-20-20001100-1-11000
χ36222-1222-1222-1-1-1222-1-122-1-122-2-200-1-1-1-1-1-1-122-1-1-1-1-2-211-2-2-2-200000000000011-2-211110000202000-1-10011-1000
χ37222-1-222-1222-1-11-222-1-1-2-2-1-1222-2001-1-1-1-111-2-211112-2-1122-2-2000000000000-112-2-1-111000020-20001100-11-1000
χ38222-1-222-1222-1-11-222-1-1-2-2-1-1222-2001-1-1-1-111-2-21111-22-1122-2-20000000000001-1-22-1-1110000-202000-1-1001-11000
χ39222-1-222-1222-1-11-222-1-1-2-2-1-122-22001-1-1-1-111-2-211112-21-1-2-222000000000000-112-211-1-10000-202000-1-100-111000
χ40222-1-222-1222-1-11-222-1-1-2-2-1-122-22001-1-1-1-111-2-21111-221-1-2-2220000000000001-1-2211-1-1000020-200011001-1-1000
χ4122-122222-122-1-12-1-1-1222222-1-10022-1-1-1-1-122-1-1-1-1-1-122000000-1-1222200000022-1-10000-1-1-1-10202-1-10000-1-10-100
χ4222-122222-122-1-12-1-1-1222222-1-10022-1-1-1-1-122-1-1-1-1-1-1-2-2000000-1-12222000000-2-2110000-1-1-1-10-20-2110000110100
χ4322-122222-122-1-12-1-1-1222222-1-100-2-2-1-1-1-1-122-1-1-1-1-1-12200000011-2-2-2-200000022-1-1000011110-20-2110000-1-10100
χ4422-122222-122-1-12-1-1-1222222-1-100-2-2-1-1-1-1-122-1-1-1-1-1-1-2-200000011-2-2-2-2000000-2-211000011110202-1-10000110-100
χ4522-12-2222-122-1-1-21-1-122-2-222-1-1002-21-1-1-1-1-2-21111112-2000000-1122-2-20000002-2-110000-1-1110-202110000-110-100
χ4622-12-2222-122-1-1-21-1-122-2-222-1-1002-21-1-1-1-1-2-2111111-22000000-1122-2-2000000-221-10000-1-111020-2-1-100001-10100
χ4722-12-2222-122-1-1-21-1-122-2-222-1-100-221-1-1-1-1-2-21111112-20000001-1-2-2220000002-2-11000011-1-1020-2-1-10000-110100
χ4822-12-2222-122-1-1-21-1-122-2-222-1-100-221-1-1-1-1-2-2111111-220000001-1-2-222000000-221-1000011-1-10-2021100001-10-100
χ49444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+54400-21+521−521+521−521+521−52−1−5−1+51+521+521−521−5200-2-2−1−5−1+5−1−5−1+500000000000000001+521−521+521−5200000000000000000000
χ50444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5-4-400-21+521−521+521−521+521−52−1−5−1+51+521+521−521−5200221+51−51+51−50000000000000000−1−52−1+52−1−52−1+5200000000000000000000
χ51444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−54400-21−521+521−521+521−521+52−1+5−1−51−521−521+521+5200-2-2−1+5−1−5−1+5−1−500000000000000001−521+521−521+5200000000000000000000
χ52444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5-4-400-21−521+521−521+521−521+52−1+5−1−51−521−521+521+5200221−51+51−51+50000000000000000−1+52−1−52−1+52−1−5200000000000000000000
χ53444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−5−1+51+521−521+51−51+521−52−1−5−1+54-40021+521−521+521−52−1−52−1+521+51−5−1−52−1−52−1+52−1+5200-22−1−5−1+51+51−500000000000000001+521−52−1−52−1+5200000000000000000000
χ54444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−5−1+51+521−521+51−51+521−52−1−5−1+5-440021+521−521+521−52−1−52−1+521+51−5−1−52−1−52−1+52−1+52002-21+51−5−1−5−1+50000000000000000−1−52−1+521+521−5200000000000000000000
χ55444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+5−1−51−521+521−51+51−521+52−1+5−1−54-40021−521+521−521+52−1+52−1−521−51+5−1+52−1+52−1−52−1−5200-22−1+5−1−51−51+500000000000000001−521+52−1+52−1−5200000000000000000000
χ56444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+5−1−51−521+521−51+51−521+52−1+5−1−5-440021−521+521−521+52−1+52−1−521−51+5−1+52−1+52−1−52−1−52002-21−51+5−1+5−1−50000000000000000−1+52−1−521−521+5200000000000000000000
χ5744-244−1−5−1+54-2−1−5−1+5-2-24-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−520044-21+521−521+521−52−1−5−1+51+521−521+521+521−521−5200000000-2-2−1−5−1+5−1−5−1+5000000000000001+521−521+521−520000000000000000
χ5844-244−1−5−1+54-2−1−5−1+5-2-24-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−5200-4-4-21+521−521+521−52−1−5−1+51+521−521+521+521−521−5200000000221+51−51+51−500000000000000−1−52−1+52−1−52−1+520000000000000000
χ5944-244−1+5−1−54-2−1+5−1−5-2-24-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+520044-21−521+521−521+52−1+5−1−51−521+521−521−521+521+5200000000-2-2−1+5−1−5−1+5−1−5000000000000001−521+521−521+520000000000000000
χ6044-244−1+5−1−54-2−1+5−1−5-2-24-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+5200-4-4-21−521+521−521+52−1+5−1−51−521+521−521−521+521+5200000000221−51+51−51+500000000000000−1+52−1−52−1+52−1−520000000000000000
χ6144-24-4−1−5−1+54-2−1−5−1+5-2-2-421+521−52−1−5−1+51+51−5−1−5−1+51+521−52004-421+521−521+521−521+51−5−1−52−1+52−1−52−1−52−1+52−1+5200000000-22−1−5−1+51+51−5000000000000001+521−52−1−52−1+520000000000000000
χ6244-24-4−1−5−1+54-2−1−5−1+5-2-2-421+521−52−1−5−1+51+51−5−1−5−1+51+521−5200-4421+521−521+521−521+51−5−1−52−1+52−1−52−1−52−1+52−1+52000000002-21+51−5−1−5−1+500000000000000−1−52−1+521+521−520000000000000000
χ6344-24-4−1+5−1−54-2−1+5−1−5-2-2-421−521+52−1+5−1−51−51+5−1+5−1−51−521+52004-421−521+521−521+521−51+5−1+52−1−52−1+52−1+52−1−52−1−5200000000-22−1+5−1−51−51+5000000000000001−521+52−1+52−1−520000000000000000
χ6444-24-4−1+5−1−54-2−1+5−1−5-2-2-421−521+52−1+5−1−51−51+5−1+5−1−51−521+5200-4421−521+521−521+521−51+5−1+52−1−52−1+52−1+52−1−52−1−52000000002-21−51+5−1+5−1−500000000000000−1+52−1−521−521+520000000000000000
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
χ6744-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-20000-111112222-1-1-1-14-4000000000000000000-22-220000000000000000001-10000
χ6844-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-20000-111112222-1-1-1-1-440000000000000000002-22-2000000000000000000-110000
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+51−5000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000
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+51−50000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000
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+50000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000
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+5000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000
χ744-44-20442-4-4-4-220044-2-20022-4-400000-2-222000000000000000000000000000000000000000000000023−2300000000
χ754-44-20442-4-4-4-220044-2-20022-4-400000-2-2220000000000000000000000000000000000000000000000−232300000000
χ764-4-24044-42-4-4-2200-2-24400-4-42200000-2-22200000000000000000000000000000000000000000000−2i32i30000000000
χ774-4-24044-42-4-4-2200-2-24400-4-42200000-2-222000000000000000000000000000000000000000000002i3−2i30000000000
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+254-82+252−25-4400−2−25−2+251+51−500−1−5−1+52+252−25000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ838-88-40−2+25−2−254-82−252+25-4400−2+25−2−251−51+500−1+5−1−52−252+25000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ848-8-480−2−25−2+25-842+252−25-44001+51−5−2−25−2+25002+252−25−1−5−1+5000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ858-8-480−2+25−2−25-842−252+25-44001−51+5−2+25−2−25002−252+25−1+5−1−5000001−51+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); i = ζ15.