Finite Group Databasebeta

← Group #13089020

Character table — Group #13089020

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222444444444444444466668888888888881010101010101212121212121212121212121818181818182020202020202424242424242424303030303636606060609090
order122335566101036666610101515151530303030224415153030303030303030303044121212126610101010121220202020442020202012121212121230303030606060602244202066121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-11-11111111111111111111-111-1-11-111-1-1-1-1-1-1-1-111111111-1-111-1-11-11-1-1-11-11-1-1-1
χ41111111111111111111111111111-11-1111111111111-1-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-1-1-11-1111
χ5111111111111111111111111111-11-11111111111111111111-11-1-111-11-1-111-1-1-1-1-1-1111111-1-111-1-111-11-11-1-1-11-11-1-1
χ6111111111111111111111111111-11-11111111111111-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-11-11-111
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
χ911-1111111111-1-1-1-11-1-11111111111-1-111-1-1-1-111-1-1-1-11-111-1-1111111-1-1-1-1-1-11-1-1-1-1-11-111-1-11111-1-1-1-11-1-11111-1-111-1
χ1011-1111111111-1-1-1-11-1-11111111111-1-111-1-1-1-111-1-1-1-1-11-1-111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-1111111-1-1-1-1-111-111-111-1-11
χ1111-1111111111-1-1-1-11-1-1111111111-1-1111-1-1-1-111-1-1-1-11-111-1-11-111-1-1-11-1-111-1111111-111-1-111-1-1-1-11111-1-1-1-111-1-1-11
χ1211-1111111111-1-1-1-11-1-1111111111-1-1111-1-1-1-111-1-1-1-1-11-1-1111-111-1-1-11-1-111-111111-11-1-11111-1-1-1-111-1-111-1-1-1-1111-1
χ1311-1111111111-1-1-1-11-1-111111111-111-111-1-1-1-111-1-1-1-11-111-1-1-11-1-1111-111-1-1-1111111-111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1411-1111111111-1-1-1-11-1-111111111-111-111-1-1-1-111-1-1-1-1-11-1-111-11-1-1111-111-1-1-111111-11-1-111-1-11111-1-111-1-1-1-111-1-11-1
χ1511-1111111111-1-1-1-11-1-111111111-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-111-1-1-1-1-1-11111-111-111-111-11-1
χ1611-1111111111-1-1-1-11-1-111111111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-1-1-1-111111-1-11111-1-11-11
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+5200000022−1−52−1+52−1−52−1+5222−1−52−1+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+522-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000002-2−1−52−1+521+521−522-2−1−52−1+521+521−52-2-21+521+521−521−52000000−1−52−1+521+521−52−1−52−1+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+52-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-221+521−52−1−52−1+52-221+521−52−1−52−1+52-2-21+521+521−521−520000001+521−52−1−52−1+521+521−52−1−52−1+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+52000000-2-21+521−521+521−52-2-21+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+52−1−52−1−5200000022−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−522-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000002-2−1+52−1−521−521+522-2−1+52−1−521−521+52-2-21−521−521+521+52000000−1+52−1−521−521+52−1+52−1−521−521+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+52−1−52−1−52-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-221−521+52−1+52−1−52-221−521+52−1+52−1−52-2-21−521−521+521+520000001−521+52−1+52−1−521−521+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+52−1−52−1−52000000-2-21−521+521−521+52-2-21−521+521−521+5222−1+52−1+52−1−52−1−520000001−521+521−521+521−521+521−521+520000−1+52−1−52000000
χ252222-1222-122-12-1-1-1-1222-12-12-12-10202-1-12-12-1-1-1-1-1-1-122-1-1220-100220-100220000002-1-1-1-1-100-1-100-1-10202000-10-100
χ262222-1222-122-12-1-1-1-1222-12-12-12-10202-1-12-12-1-1-1-1-1-1-1-2-211-2-20-100220-10022000000-21111100-1-100-1-10-20-200010100
χ272222-1222-122-12-1-1-1-1222-12-12-12-10-20-2-1-12-12-1-1-1-1-1-1-122-1-1220100-2-20100-2-20000002-1-1-1-1-1001100110-20-200010100
χ282222-1222-122-12-1-1-1-1222-12-12-12-10-20-2-1-12-12-1-1-1-1-1-1-1-2-211-2-20100-2-20100-2-2000000-211111001100110202000-10-100
χ29222-1222-1222-1-12-1-1-122-12-12-12-122020-1-1-12-12-1-1-1-1-1-12222-1-1-102200-102200000000-12-1-1-1-1-1-100-1-100202000-10-1000
χ30222-1222-1222-1-12-1-1-122-12-12-12-122020-1-1-12-12-1-1-1-1-1-1-2-2-2-211-102200-1022000000001-21111-1-100-1-100-20-2000101000
χ31222-1222-1222-1-12-1-1-122-12-12-12-12-20-20-1-1-12-12-1-1-1-1-1-12222-1-110-2-20010-2-200000000-12-1-1-1-111001100-20-2000101000
χ32222-1222-1222-1-12-1-1-122-12-12-12-12-20-20-1-1-12-12-1-1-1-1-1-1-2-2-2-21110-2-20010-2-2000000001-2111111001100202000-10-1000
χ3322-222−1−52−1+5222−1−52−1+522-2-2-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5200000022−1−52−1+52−1−52−1+52-2-21+521−521+521−522-21+521+521−521−52000000−1−52−1+52−1−52−1+521+521−521+521−520000−1−52−1+52000000
χ3422-222−1−52−1+5222−1−52−1+522-2-2-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000002-2−1−52−1+521+521−52-221+521−52−1−52−1+52-22−1−52−1−52−1+52−1+52000000−1−52−1+521+521−521+521−52−1−52−1+5200001+521−52000000
χ3522-222−1−52−1+5222−1−52−1+522-2-2-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000-221+521−52−1−52−1+522-2−1−52−1+521+521−52-22−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52−1−52−1+521+521−5200001+521−52000000
χ3622-222−1−52−1+5222−1−52−1+522-2-2-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000-2-21+521−521+521−5222−1−52−1+52−1−52−1+522-21+521+521−521−520000001+521−521+521−52−1−52−1+52−1−52−1+520000−1−52−1+52000000
χ3722-222−1+52−1−5222−1+52−1−522-2-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5200000022−1+52−1−52−1+52−1−52-2-21−521+521−521+522-21−521−521+521+52000000−1+52−1−52−1+52−1−521−521+521−521+520000−1+52−1−52000000
χ3822-222−1+52−1−5222−1+52−1−522-2-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000002-2−1+52−1−521−521+52-221−521+52−1+52−1−52-22−1+52−1+52−1−52−1−52000000−1+52−1−521−521+521−521+52−1+52−1−5200001−521+52000000
χ3922-222−1+52−1−5222−1+52−1−522-2-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000-221−521+52−1+52−1−522-2−1+52−1−521−521+52-22−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52−1+52−1−521−521+5200001−521+52000000
χ4022-222−1+52−1−5222−1+52−1−522-2-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000-2-21−521+521−521+5222−1+52−1−52−1+52−1−522-21−521−521+521+520000001−521+521−521+52−1+52−1−52−1+52−1−520000−1+52−1−52000000
χ4122-22-1222-122-1-2111-1-2-22-12-12-12-1020-2-1-1-21-21-1-111112-2-1-1-2-20-100220100-2-200000021-1-11100-1-100110-20200010-100
χ4222-22-1222-122-1-2111-1-2-22-12-12-12-1020-2-1-1-21-21-1-11111-2211220-100220100-2-2000000-2-111-1-100-1-10011020-2000-10100
χ4322-22-1222-122-1-2111-1-2-22-12-12-12-10-202-1-1-21-21-1-111112-2-1-1-2-20100-2-20-1002200000021-1-111001100-1-1020-2000-10100
χ4422-22-1222-122-1-2111-1-2-22-12-12-12-10-202-1-1-21-21-1-11111-2211220100-2-20-10022000000-2-111-1-1001100-1-10-20200010-100
χ4522-2-1222-1222-11-211-1-2-2-12-12-12-1220-20-1-11-21-2-1-111112-22211-10220010-2-200000000-1-2-1-111-1-100110020-2000-101000
χ4622-2-1222-1222-11-211-1-2-2-12-12-12-1220-20-1-11-21-2-1-11111-22-2-2-1-1-10220010-2-2000000001211-1-1-1-1001100-20200010-1000
χ4722-2-1222-1222-11-211-1-2-2-12-12-12-12-2020-1-11-21-2-1-111112-2221110-2-200-102200000000-1-2-1-1111100-1-100-20200010-1000
χ4822-2-1222-1222-11-211-1-2-2-12-12-12-12-2020-1-11-21-2-1-11111-22-2-2-1-110-2-200-1022000000001211-1-11100-1-10020-2000-101000
χ494444-2−1−5−1+54-2−1−5−1+5-24-2-2-2-2−1−5−1+5−1−51+52−1+51−52−1−51+52−1+51−5204041+521−52−1−51+52−1+51−521+521−521+521+521−521−520000000-200−1−5−1+50-200−1−5−1+5000000000000001+521−52001+521−52000000000000
χ504444-2−1−5−1+54-2−1−5−1+5-24-2-2-2-2−1−5−1+5−1−51+52−1+51−52−1−51+52−1+51−520-40-41+521−52−1−51+52−1+51−521+521−521+521+521−521−5200000002001+51−502001+51−500000000000000−1−52−1+5200−1−52−1+52000000000000
χ514444-2−1+5−1−54-2−1+5−1−5-24-2-2-2-2−1+5−1−5−1+51−52−1−51+52−1+51−52−1−51+5204041−521+52−1+51−52−1−51+521−521+521−521−521+521+520000000-200−1+5−1−50-200−1+5−1−5000000000000001−521+52001−521+52000000000000
χ524444-2−1+5−1−54-2−1+5−1−5-24-2-2-2-2−1+5−1−5−1+51−52−1−51+52−1+51−52−1−51+520-40-41−521+52−1+51−52−1−51+521−521+521−521−521+521+5200000002001−51+502001−51+500000000000000−1+52−1−5200−1+52−1−52000000000000
χ53444-24−1−5−1+5-24−1−5−1+5-2-24-2-2-2−1−5−1+51+52−1−51−52−1+51+52−1−51−52−1+540401+521−521+52−1−51−52−1+51+521−521+521+521−521−52000000-20−1−5−1+500-20−1−5−1+5000000000000001+521−52001+521−5200000000000000
χ54444-24−1−5−1+5-24−1−5−1+5-2-24-2-2-2−1−5−1+51+52−1−51−52−1+51+52−1−51−52−1+5-40-401+521−521+52−1−51−52−1+51+521−521+521+521−521−52000000201+51−500201+51−500000000000000−1−52−1+5200−1−52−1+5200000000000000
χ55444-24−1+5−1−5-24−1+5−1−5-2-24-2-2-2−1+5−1−51−52−1+51+52−1−51−52−1+51+52−1−540401−521+521−52−1+51+52−1−51−521+521−521−521+521+52000000-20−1+5−1−500-20−1+5−1−5000000000000001−521+52001−521+5200000000000000
χ56444-24−1+5−1−5-24−1+5−1−5-2-24-2-2-2−1+5−1−51−52−1+51+52−1−51−52−1+51+52−1−5-40-401−521+521−52−1+51+52−1−51−521+521−521−521+521+52000000201−51+500201−51+500000000000000−1+52−1−5200−1+52−1−5200000000000000
χ57444-2-244-2-2441-2-211144-2-2-2-2-2-2-2-2000011-2-2-2-211111144-2-2-2-2000000000000000000-2-2111100000000000000000000
χ58444-2-244-2-2441-2-211144-2-2-2-2-2-2-2-2000011-2-2-2-2111111-4-4222200000000000000000022-1-1-1-100000000000000000000
χ5944-44-2−1−5−1+54-2−1−5−1+5-2-4222-21+51−5−1−51+52−1+51−52−1−51+52−1+51−52040-41+521−521+5−1−521−5−1+521+521−52−1−52−1−52−1+52−1+520000000-200−1−5−1+502001+51−5000000000000001+521−5200−1−52−1+52000000000000
χ6044-44-2−1−5−1+54-2−1−5−1+5-2-4222-21+51−5−1−51+52−1+51−52−1−51+52−1+51−520-4041+521−521+5−1−521−5−1+521+521−52−1−52−1−52−1+52−1+5200000002001+51−50-200−1−5−1+500000000000000−1−52−1+52001+521−52000000000000
χ6144-44-2−1+5−1−54-2−1+5−1−5-2-4222-21−51+5−1+51−52−1−51+52−1+51−52−1−51+52040-41−521+521−5−1+521+5−1−521−521+52−1+52−1+52−1−52−1−520000000-200−1+5−1−502001−51+5000000000000001−521+5200−1+52−1−52000000000000
χ6244-44-2−1+5−1−54-2−1+5−1−5-2-4222-21−51+5−1+51−52−1−51+52−1+51−52−1−51+520-4041−521+521−5−1+521+5−1−521−521+52−1+52−1+52−1−52−1−5200000002001−51+50-200−1+5−1−500000000000000−1+52−1−52001−521+52000000000000
χ6344-4-24−1−5−1+5-24−1−5−1+5-22-422-21+51−51+52−1−51−52−1+51+52−1−51−52−1+540-401+521−52−1−521+5−1+521−51+521−52−1−52−1−52−1+52−1+52000000-20−1−5−1+500201+51−5000000000000001+521−5200−1−52−1+5200000000000000
χ6444-4-24−1−5−1+5-24−1−5−1+5-22-422-21+51−51+52−1−51−52−1+51+52−1−51−52−1+5-40401+521−52−1−521+5−1+521−51+521−52−1−52−1−52−1+52−1+52000000201+51−500-20−1−5−1+500000000000000−1−52−1+52001+521−5200000000000000
χ6544-4-24−1+5−1−5-24−1+5−1−5-22-422-21−51+51−52−1+51+52−1−51−52−1+51+52−1−540-401−521+52−1+521−5−1−521+51−521+52−1+52−1+52−1−52−1−52000000-20−1+5−1−500201−51+5000000000000001−521+5200−1+52−1−5200000000000000
χ6644-4-24−1+5−1−5-24−1+5−1−5-22-422-21−51+51−52−1+51+52−1−51−52−1+51+52−1−5-40401−521+52−1+521−5−1−521+51−521+52−1+52−1+52−1−52−1−52000000201−51+500-20−1+5−1−500000000000000−1+52−1−52001−521+5200000000000000
χ6744-4-2-244-2-244122-1-11-4-4-2-2-2-2-2-2-2-2000011222211-1-1-1-14-4-2-222000000000000000000-2211-1-100000000000000000000
χ6844-4-2-244-2-244122-1-11-4-4-2-2-2-2-2-2-2-2000011222211-1-1-1-1-4422-2-20000000000000000002-2-1-11100000000000000000000
χ694-404444-4-4-4-440000-4004444-4-4-4-40000440000-4-4000000000000000000000000000000000000000000000000000000
χ704-4044−1−5−1+5-4-41+51−540000-400−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+500001+51−5000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000
χ714-4044−1−5−1+5-4-41+51−540000-400−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+500001+51−50000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000
χ724-4044−1+5−1−5-4-41−51+540000-400−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−500001−51+50000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000
χ734-4044−1+5−1−5-4-41−51+540000-400−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−500001−51+5000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000
χ744-404-244-42-4-4-200002004-24-2-42-420000-2-200002200000023−23000000000000000000000023−230000000000000000000000
χ754-404-244-42-4-4-200002004-24-2-42-420000-2-2000022000000−23230000000000000000000000−23230000000000000000000000
χ764-40-24442-4-4-4-20000200-24-242-42-40000-2-20000220000000023−23000000000000000000000023−2300000000000000000000
χ774-40-24442-4-4-4-20000200-24-242-42-40000-2-200002200000000−23230000000000000000000000−232300000000000000000000
χ784-40-2-24422-4-41003-3-100-2-2-2-222220000110000-1-13-33-30023−2323−2300000000000000000000−33−3300000000000000000000
χ794-40-2-24422-4-41003-3-100-2-2-2-222220000110000-1-13-33-300−2323−2323000000000000000000003−33−300000000000000000000
χ804-40-2-24422-4-4100-33-100-2-2-2-222220000110000-1-1-33-330023−23−232300000000000000000000−333−300000000000000000000
χ814-40-2-24422-4-4100-33-100-2-2-2-222220000110000-1-1-33-3300−232323−23000000000000000000003−3−3300000000000000000000
χ82888-4-4−2−25−2+25-4-4−2−25−2+252-4-4222−2−25−2+251+51+51−51−51+51+51−51−50000−1−52−1+521+51+51−51−5−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000
χ83888-4-4−2+25−2−25-4-4−2+25−2−252-4-4222−2+25−2−251−51−51+51+51−51−51+51+50000−1+52−1−521−51−51+51+5−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ8488-8-4-4−2−25−2+25-4-4−2−25−2+25244-2-222+252−251+51+51−51−51+51+51−51−50000−1−52−1+52−1−5−1−5−1+5−1+5−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000
χ8588-8-4-4−2+25−2−25-4-4−2+25−2−25244-2-222−252+251−51−51+51+51−51−51+51+50000−1+52−1−52−1+5−1+5−1−5−1−5−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000
χ868-808-4−2−25−2+25-842+252−25-40000400−2−251+5−2+251−52+25−1−52−25−1+500001+51−50000−1−5−1+5000000000000000000000000000000000000000000000000000000
χ878-808-4−2+25−2−25-842−252+25-40000400−2+251−5−2−251+52−25−1+52+25−1−500001−51+50000−1+5−1−5000000000000000000000000000000000000000000000000000000
χ888-80-48−2−25−2+254-82+252−25-400004001+5−2−251−5−2+25−1−52+25−1+52−2500001+51−50000−1−5−1+5000000000000000000000000000000000000000000000000000000
χ898-80-48−2+25−2−254-82−252+25-400004001−5−2+251+5−2−25−1+52−25−1−52+2500001−51+50000−1+5−1−5000000000000000000000000000000000000000000000000000000
χ908-80-4-4−2−25−2+25442+252−252006-6-2001+51+51−51−5−1−5−1−5−1+5−1+50000−1−52−1+5200001+521−52−3−3523+352−3+3523−35200000000000000000000000000000000000000000000000000
χ918-80-4-4−2−25−2+25442+252−25200-66-2001+51+51−51−5−1−5−1−5−1+5−1+50000−1−52−1+5200001+521−523+352−3−3523−352−3+35200000000000000000000000000000000000000000000000000
χ928-80-4-4−2+25−2−25442−252+252006-6-2001−51−51+51+5−1+5−1+5−1−5−1−50000−1+52−1−5200001−521+52−3+3523−352−3−3523+35200000000000000000000000000000000000000000000000000
χ938-80-4-4−2+25−2−25442−252+25200-66-2001−51−51+51+5−1+5−1+5−1−5−1−50000−1+52−1−5200001−521+523−352−3+3523+352−3−35200000000000000000000000000000000000000000000000000

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