Finite Group Databasebeta

← Group #13088996

Character table — Group #13088996

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222224444444444444466668888888888888101012121212121212121212121218181818181820202020242424242424242430303030303030303636404060609090
order122335566101036661010151515153030303022446151530303030303030303030246610101010121220202020221010101066121230303030606060602244661212101061261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111-11-11111111111111111-111-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-11-1-1
χ411111111111111111111111111-11-11111111111111-1-11-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-111
χ51111111111111111111111111-11-11111111111111111-11-1-1111-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1111-1-1-1
χ61111111111111111111111111-11-111111111111111-1-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1111
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
χ911-1111111111-1-11-1-11111111111-1-1-111-1-1-1-111-1-1-1-11-1111111-1-1-1-1-1-11-1111111-1-11111-1-1-1-11-11-111-1-1-1-11-1-11-11
χ1011-1111111111-1-11-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-1-1-11-11111-1-1111111-1-1-1-1-11-11-1-111-1-1-111-11-1
χ1111-1111111111-1-11-1-1111111111-1-11-111-1-1-1-111-1-1-1-11-11-111-1-11-1-1-111-11-1-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1111-1111-1
χ1211-1111111111-1-11-1-1111111111-1-11-111-1-1-1-111-1-1-1-1-111-111-1-11-1-1-111-11-1-1-1-1-1-11111-1-1-1-1111-1-11111111-11-1-1-11
χ1311-1111111111-1-11-1-111111111-111-1-111-1-1-1-111-1-1-1-11-1-11-1-111-1111-1-1-11-1-1-1-111-1-1-1-11111-1-11-1-111111111-1-1-11-1
χ1411-1111111111-1-11-1-111111111-111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1111-1-1-11-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-1-111-1111-11
χ1511-1111111111-1-11-1-111111111-1-111-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-11111-11-11-1-111-1-11-11-1-11
χ1611-1111111111-1-11-1-111111111-1-111-111-1-1-1-111-1-1-1-1-11-1-1-1-1-1-11111111-11111-1-111-1-1-1-111111-11-111-1-1-1-1-11-111-1
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+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+522-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-2−1−52−1+521+521−52-22−1−52−1+521+521−52-2-21+521+521−521−520000−1−52−1+521+521−52−1−52−1+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+52-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-221+521−52−1−52−1+522-21+521−52−1−52−1+52-2-21+521+521−521−5200001+521−52−1−52−1+521+521−52−1−52−1+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+52−1−52−1−522-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-2−1+52−1−521−521+52-22−1+52−1−521−521+52-2-21−521−521+521+520000−1+52−1−521−521+52−1+52−1−521−521+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+52−1−52−1−52-22-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-221−521+52−1+52−1−522-21−521+52−1+52−1−52-2-21−521−521+521+5200001−521+52−1+52−1−521−521+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
χ252222-122-1222-12-1-1222-12-12-12-10202-1-1-12-12-1-1-1-1-1-1-1220-10022-1000220000002-1-1200-1-100-1-12200-1-10000-1-1-1000
χ262222-122-1222-12-1-1222-12-12-12-10202-1-1-12-12-1-1-1-1-1-1-1-2-20-10022-100022000000-211-200-1-100-1-1-2-200110000111000
χ272222-122-1222-12-1-1222-12-12-12-10-20-2-1-1-12-12-1-1-1-1-1-1-1220100-2-21000-2-20000002-1-1200110011-2-200110000-1-11000
χ282222-122-1222-12-1-1222-12-12-12-10-20-2-1-1-12-12-1-1-1-1-1-1-1-2-20100-2-21000-2-2000000-211-2001100112200-1-1000011-1000
χ29222-12222-122-1-12-122-12-12-12-122020-1-1-1-12-12-1-1-1-1-1-122-1022000-12200000000-122-1-1-100-1-100002200-1-100-1-10-100
χ30222-12222-122-1-12-122-12-12-12-122020-1-1-1-12-12-1-1-1-1-1-1-2-2-1022000-122000000001-2-21-1-100-1-10000-2-2001100110100
χ31222-12222-122-1-12-122-12-12-12-12-20-20-1-1-1-12-12-1-1-1-1-1-12210-2-20001-2-200000000-122-11100110000-2-2001100-1-10100
χ32222-12222-122-1-12-122-12-12-12-12-20-20-1-1-1-12-12-1-1-1-1-1-1-2-210-2-20001-2-2000000001-2-2111001100002200-1-100110-100
χ3322-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520022−1−52−1+52−1−52−1+52-2-21+521−521+521−522-2−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+521+521−521+521−52000000001+521−52000000
χ3422-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52002-2−1−52−1+521+521−522-21+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
χ3522-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5200-221+521−52−1−52−1+52-22−1−52−1+521+521−52-221+521+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−5200000000−1−52−1+52000000
χ3622-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5200-2-21+521−521+521−5222−1−52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+5200001+521−521+521−52−1−52−1+52−1−52−1+52000000001+521−52000000
χ3722-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520022−1+52−1−52−1+52−1−52-2-21−521+521−521+522-2−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52000000001−521+52000000
χ3822-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52002-2−1+52−1−521−521+522-21−521+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
χ3922-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5200-221−521+52−1+52−1−52-22−1+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
χ4022-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5200-2-21−521+521−521+5222−1+52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52000000001−521+52000000
χ4122-22-122-1222-1-21-1-2-22-12-12-12-1020-21-1-1-21-21-1-111112-20-100221000-2-20000002-11-200-1-100112-200-1-10000-111000
χ4222-22-122-1222-1-21-1-2-22-12-12-12-1020-21-1-1-21-21-1-11111-220-100221000-2-2000000-21-1200-1-10011-22001100001-1-1000
χ4322-22-122-1222-1-21-1-2-22-12-12-12-10-2021-1-1-21-21-1-111112-20100-2-2-1000220000002-11-2001100-1-1-2200110000-11-1000
χ4422-22-122-1222-1-21-1-2-22-12-12-12-10-2021-1-1-21-21-1-11111-220100-2-2-100022000000-21-12001100-1-12-200-1-100001-11000
χ4522-2-12222-122-11-2-1-2-2-12-12-12-1220-201-1-11-21-2-1-111112-2-10220001-2-200000000-12-21-1-1001100002-2001100-110-100
χ4622-2-12222-122-11-2-1-2-2-12-12-12-1220-201-1-11-21-2-1-11111-22-10220001-2-2000000001-22-1-1-100110000-2200-1-1001-10100
χ4722-2-12222-122-11-2-1-2-2-12-12-12-12-20201-1-11-21-2-1-111112-210-2-2000-12200000000-12-211100-1-10000-2200-1-100-110100
χ4822-2-12222-122-11-2-1-2-2-12-12-12-12-20201-1-11-21-2-1-11111-2210-2-2000-122000000001-22-11100-1-100002-20011001-10-100
χ494444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−51+52−1+51−52−1−51+52−1+51−520404-21+521−52−1−51+52−1+51−521+521−521+521+521−521−52000-200−1−5−1+5-2000−1−5−1+50000000000001+521−52001+521−520000000000000000
χ504444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−51+52−1+51−52−1−51+52−1+51−520-40-4-21+521−52−1−51+52−1+51−521+521−521+521+521−521−520002001+51−520001+51−5000000000000−1−52−1+5200−1−52−1+520000000000000000
χ514444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+51−52−1−51+52−1+51−52−1−51+520404-21−521+52−1+51−52−1−51+521−521+521−521−521+521+52000-200−1+5−1−5-2000−1+5−1−50000000000001−521+52001−521+520000000000000000
χ524444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+51−52−1−51+52−1+51−52−1−51+520-40-4-21−521+52−1+51−52−1−51+521−521+521−521−521+521+520002001−51+520001−51+5000000000000−1+52−1−5200−1+52−1−520000000000000000
χ53444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+52−1−51−52−1+51+52−1−51−52−1+54040-21+521−521+52−1−51−52−1+51+521−521+521+521−521−5200-20−1−5−1+5000-2−1−5−1+50000000000001+521−52001+521−52000000000000000000
χ54444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+52−1−51−52−1+51+52−1−51−52−1+5-40-40-21+521−521+52−1−51−52−1+51+521−521+521+521−521−5200201+51−500021+51−5000000000000−1−52−1+5200−1−52−1+52000000000000000000
χ55444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−52−1+51+52−1−51−52−1+51+52−1−54040-21−521+521−52−1+51+52−1−51−521+521−521−521+521+5200-20−1+5−1−5000-2−1+5−1−50000000000001−521+52001−521+52000000000000000000
χ56444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−52−1+51+52−1−51−52−1+51+52−1−5-40-40-21−521+521−52−1+51+52−1−51−521+521−521−521+521+5200201−51+500021−51+5000000000000−1+52−1−5200−1+52−1−52000000000000000000
χ57444-2-244-2-2441-2-2144-2-2-2-2-2-2-2-20000111-2-2-2-211111144000000000000000000-2-2-2-2000000000000000000110000
χ58444-2-244-2-2441-2-2144-2-2-2-2-2-2-2-20000111-2-2-2-2111111-4-40000000000000000002222000000000000000000-1-10000
χ5944-44-2−1−5−1+5-24−1−5−1+5-2-42-21+51−5−1−51+52−1+51−52−1−51+52−1+51−52040-421+521−521+5−1−521−5−1+521+521−52−1−52−1−52−1+52−1+52000-200−1−5−1+520001+51−50000000000001+521−5200−1−52−1+520000000000000000
χ6044-44-2−1−5−1+5-24−1−5−1+5-2-42-21+51−5−1−51+52−1+51−52−1−51+52−1+51−520-40421+521−521+5−1−521−5−1+521+521−52−1−52−1−52−1+52−1+520002001+51−5-2000−1−5−1+5000000000000−1−52−1+52001+521−520000000000000000
χ6144-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+51−52−1−51+52−1+51−52−1−51+52040-421−521+521−5−1+521+5−1−521−521+52−1+52−1+52−1−52−1−52000-200−1+5−1−520001−51+50000000000001−521+5200−1+52−1−520000000000000000
χ6244-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+51−52−1−51+52−1+51−52−1−51+520-40421−521+521−5−1+521+5−1−521−521+52−1+52−1+52−1−52−1−520002001−51+5-2000−1+5−1−5000000000000−1+52−1−52001−521+520000000000000000
χ6344-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+52−1−51−52−1+51+52−1−51−52−1+540-4021+521−52−1−521+5−1+521−51+521−52−1−52−1−52−1+52−1+5200-20−1−5−1+500021+51−50000000000001+521−5200−1−52−1+52000000000000000000
χ6444-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+52−1−51−52−1+51+52−1−51−52−1+5-404021+521−52−1−521+5−1+521−51+521−52−1−52−1−52−1+52−1+5200201+51−5000-2−1−5−1+5000000000000−1−52−1+52001+521−52000000000000000000
χ6544-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−52−1+51+52−1−51−52−1+51+52−1−540-4021−521+52−1+521−5−1−521+51−521+52−1+52−1+52−1−52−1−5200-20−1+5−1−500021−51+50000000000001−521+5200−1+52−1−52000000000000000000
χ6644-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−52−1+51+52−1−51−52−1+51+52−1−5-404021−521+52−1+521−5−1−521+51−521+52−1+52−1+52−1−52−1−5200201−51+5000-2−1+5−1−5000000000000−1+52−1−52001−521+52000000000000000000
χ6744-4-2-244-2-2441221-4-4-2-2-2-2-2-2-2-20000-111222211-1-1-1-14-4000000000000000000-2-2220000000000000000001-10000
χ6844-4-2-244-2-2441221-4-4-2-2-2-2-2-2-2-20000-111222211-1-1-1-1-4400000000000000000022-2-2000000000000000000-110000
χ694-404444-4-4-4-4400-4004444-4-4-4-400000440000-4-40000000000000000000000000000000000000000000000000000
χ704-4044−1−5−1+5-4-41+51−5400-400−1−5−1−5−1+5−1+51+51+51−51−500000−1−5−1+500001+51−500000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000
χ714-4044−1−5−1+5-4-41+51−5400-400−1−5−1−5−1+5−1+51+51+51−51−500000−1−5−1+500001+51−5000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000
χ724-4044−1+5−1−5-4-41−51+5400-400−1+5−1+5−1−5−1−51−51−51+51+500000−1+5−1−500001−51+5000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000
χ734-4044−1+5−1−5-4-41−51+5400-400−1+5−1+5−1−5−1−51−51−51+51+500000−1+5−1−500001−51+500000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000
χ744-404-2442-4-4-4-2002004-24-2-42-4200000-2-20000220000000000000000000000000000000000000000−2i32i30000000000
χ754-404-2442-4-4-4-2002004-24-2-42-4200000-2-200002200000000000000000000000000000000000000002i3−2i30000000000
χ764-40-2444-42-4-4-200200-24-242-42-400000-2-200002200000000000000000000000000000000000000000023−2300000000
χ774-40-2444-42-4-4-200200-24-242-42-400000-2-2000022000000000000000000000000000000000000000000−232300000000
χ78888-4-4−2−25−2+25-4-4−2−25−2+252-4-42−2−25−2+251+51+51−51−51+51+51−51−500002−1−52−1+521+51+51−51−5−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000000
χ79888-4-4−2+25−2−25-4-4−2+25−2−252-4-42−2+25−2−251−51−51+51+51−51−51+51+500002−1+52−1−521−51−51+51+5−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000000
χ8088-8-4-4−2−25−2+25-4-4−2−25−2+2524422+252−251+51+51−51−51+51+51−51−50000-2−1−52−1+52−1−5−1−5−1+5−1+5−1−52−1+521+521+521−521−52000000000000000000000000000000000000000000000000
χ8188-8-4-4−2+25−2−25-4-4−2+25−2−2524422−252+251−51−51+51+51−51−51+51+50000-2−1+52−1−52−1+5−1+5−1−5−1−5−1+52−1−521−521−521+521+52000000000000000000000000000000000000000000000000
χ828-808-4−2−25−2+254-82+252−25-400400−2−251+5−2+251−52+25−1−52−25−1+5000001+51−50000−1−5−1+50000000000000000000000000000000000000000000000000000
χ838-808-4−2+25−2−254-82−252+25-400400−2+251−5−2−251+52−25−1+52+25−1−5000001−51+50000−1+5−1−50000000000000000000000000000000000000000000000000000
χ848-80-48−2−25−2+25-842+252−25-4004001+5−2−251−5−2+25−1−52+25−1+52−25000001+51−50000−1−5−1+50000000000000000000000000000000000000000000000000000
χ858-80-48−2+25−2−25-842−252+25-4004001−5−2+251+5−2−25−1+52−25−1−52+25000001−51+50000−1+5−1−50000000000000000000000000000000000000000000000000000
χ868-80-4-48844-8-8200-200-4-4-4-4444400000220000-2-20000000000000000000000000000000000000000000000000000
χ878-80-4-4−2−25−2+25442+252−25200-2001+51+51−51−5−1−5−1−5−1+5−1+500000−1−52−1+5200001+521−52−3ζ14+3ζ26−3ζ34+3ζ463ζ14−3ζ26+3ζ34−3ζ463ζ2+3ζ22−3ζ38−3ζ58−3ζ2−3ζ22+3ζ38+3ζ58000000000000000000000000000000000000000000000000
χ888-80-4-4−2−25−2+25442+252−25200-2001+51+51−51−5−1−5−1−5−1+5−1+500000−1−52−1+5200001+521−523ζ14−3ζ26+3ζ34−3ζ46−3ζ14+3ζ26−3ζ34+3ζ46−3ζ2−3ζ22+3ζ38+3ζ583ζ2+3ζ22−3ζ38−3ζ58000000000000000000000000000000000000000000000000
χ898-80-4-4−2+25−2−25442−252+25200-2001−51−51+51+5−1+5−1+5−1−5−1−500000−1+52−1−5200001−521+523ζ2+3ζ22−3ζ38−3ζ58−3ζ2−3ζ22+3ζ38+3ζ583ζ14−3ζ26+3ζ34−3ζ46−3ζ14+3ζ26−3ζ34+3ζ46000000000000000000000000000000000000000000000000
χ908-80-4-4−2+25−2−25442−252+25200-2001−51−51+51+5−1+5−1+5−1−5−1−500000−1+52−1−5200001−521+52−3ζ2−3ζ22+3ζ38+3ζ583ζ2+3ζ22−3ζ38−3ζ58−3ζ14+3ζ26−3ζ34+3ζ463ζ14−3ζ26+3ζ34−3ζ46000000000000000000000000000000000000000000000000

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