Finite Group Databasebeta

← Group #11753379

Character table — Group #11753379

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222222244444444444444448888888888888888881212121212121212121212122020202020202020242424243030303040406060
order122234455666101010101010441212151520202020303030303030121220202020606060606060606060606060444420202020202020202444661212202020204444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ911111-1-1111111111111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11-11-111-1-111-1-1-1-1111-11-1
χ1011111-1-1111111111111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-11-11-1-11111-1-111-1-1-11-11
χ1111111-1-1111111111111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-111111-11-111-1-1-1-11111-1-11-1-11
χ1211111-1-1111111111111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-11-11-1-111-1-111-1-111-111-1
χ1311111-1-111111111111-11-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-11-11
χ1411111-1-111111111111-11-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-1
χ1511111-1-111111111111-11-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111-1-1111-1-111-1-111-1-1-111-1
χ1611111-1-111111111111-11-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-111-1-1-11111-1-1-1-1111-1-11
χ172222222−1−52−1+52222−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1+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+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000
χ202222222−1−52−1+52222−1−52−1+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+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000
χ212222222−1+52−1−52222−1+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+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000
χ222222222−1+52−1−52222−1+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+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000
χ232222222−1+52−1−52222−1+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+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000
χ242222222−1+52−1−52222−1+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+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−5200000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+5200000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+5200000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−5200000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+5200000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−5200000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−5200000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+5200000000
χ332222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-100
χ342222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111000000001100
χ352222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-11111111100000000000022-2-2-1-1-1-1000000001100
χ362222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111000000000000-2-222111100000000-1-100
χ372222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-1-1122-2-21111-1-1-1-111110000000000002-22-2-1-11100000000-1100
χ382222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-1-1122-2-21111-1-1-1-11111000000000000-22-2211-1-1000000001-100
χ392222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-11-1-2-22211111111-1-1-1-10000000000002-2-22-1-111000000001-100
χ402222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-11-1-2-22211111111-1-1-1-1000000000000-222-211-1-100000000-1100
χ412-2-2222-222-2-2222-2-2-2-2002-2222-22-2-2-222-2-20000002-22-2000000000000000000000000000000002i−2i2i−2i0000
χ422-2-2222-222-2-2222-2-2-2-2002-2222-22-2-2-222-2-20000002-22-200000000000000000000000000000000−2i2i−2i2i0000
χ432-2-222-2222-2-2222-2-2-2-200-2222-22-22-2-222-2-2000000-22-22000000000000000000000000000000002i−2i−2i2i0000
χ442-2-222-2222-2-2222-2-2-2-200-2222-22-22-2-222-2-2000000-22-2200000000000000000000000000000000−2i2i2i−2i0000
χ454444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−52-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ464444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−52221+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ474444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+52-2-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ484444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+52221−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ494444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4221+521−521+51+51−51−51+521−521+521−521+521−52-22−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ504444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44221+521−521+51+51−51−51+521−521+521−521+521−522-21+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
χ514444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4221−521+521−51−51+51+51−521+521−521+521−521+52-22−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ524444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44221−521+521−51−51+51+51−521+521−521+521−521+522-21−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ5344-4-440044-44-4-4-444-4-40000440000-4-4-4-44400000000000000000000000000000000000000000000000000
χ5444-4-4400−1−5−1+5-44-41+51−5−1−5−1+51+51−50000−1−5−1+500001+51−51+51−5−1−5−1+500000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000
χ5544-4-4400−1−5−1+5-44-41+51−5−1−5−1+51+51−50000−1−5−1+500001+51−51+51−5−1−5−1+5000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000
χ5644-4-4400−1+5−1−5-44-41−51+5−1+5−1−51−51+50000−1+5−1−500001−51+51−51+5−1+5−1−5000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000
χ5744-4-4400−1+5−1−5-44-41−51+5−1+5−1−51−51+50000−1+5−1−500001−51+51−51+5−1+5−1−500000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000
χ5844-4-4-200442-22-4-444-4-40000-2-200002222-2-200000000000000000000000000000000000023−23000000000000
χ5944-4-4-200442-22-4-444-4-40000-2-200002222-2-2000000000000000000000000000000000000−2323000000000000
χ604-44-4400444-4-4-4-4-4-444000044000044-4-4-4-400000000000000000000000000000000000000000000000000
χ614-44-4400−1−5−1+54-4-41+51−51+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−50000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000
χ624-44-4400−1−5−1+54-4-41+51−51+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−500000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000
χ634-44-4400−1+5−1−54-4-41−51+51−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+500000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000
χ644-44-4400−1+5−1−54-4-41−51+51−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+50000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000
χ654-44-4-20044-222-4-4-4-4440000-2-20000-2-222220000000000000000000000000000000000−2i32i300000000000000
χ664-44-4-20044-222-4-4-4-4440000-2-20000-2-2222200000000000000000000000000000000002i3−2i300000000000000
χ674-4-4444-4−1−5−1+5-4-44−1−5−1+51+51−51+51−5004-4−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+51+51−5000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ684-4-4444-4−1+5−1−5-4-44−1+5−1−51−51+51−51+5004-4−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−51−51+5000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ694-4-444-44−1−5−1+5-4-44−1−5−1+51+51−51+51−500-44−1−5−1+51+5−1−51−5−1+51+51−5−1−5−1+51+51−50000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ704-4-444-44−1+5−1−5-4-44−1+5−1−51−51+51−51+500-44−1+5−1−51−5−1+51+5−1−51−51+5−1+5−1−51−51+50000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ714-4-44-24-44422-244-4-4-4-400-22-2-24-44-422-2-222000000-22-220000000000000000000000000000000000000000
χ724-4-44-24-4−1−5−1+522-2−1−5−1+51+51−51+51−500-221+521−52−1−51+5−1+51−5−1−52−1+521+521−52−1−52−1+520000001+52−1−521−52−1+52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ734-4-44-24-4−1−5−1+522-2−1−5−1+51+51−51+51−500-221+521−52−1−51+5−1+51−5−1−52−1+521+521−52−1−52−1+520000001+52−1−521−52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000000
χ744-4-44-24-4−1+5−1−522-2−1+5−1−51−51+51−51+500-221−521+52−1+51−5−1−51+5−1+52−1−521−521+52−1+52−1−520000001−52−1+521+52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000000
χ754-4-44-24-4−1+5−1−522-2−1+5−1−51−51+51−51+500-221−521+52−1+51−5−1−51+5−1+52−1−521−521+52−1+52−1−520000001−52−1+521+52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000000
χ764-4-44-2-444422-244-4-4-4-4002-2-2-2-44-4422-2-2220000002-22-20000000000000000000000000000000000000000
χ774-4-44-2-44−1−5−1+522-2−1−5−1+51+51−51+51−5002-21+521−521+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+52000000−1−521+52−1+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000000
χ784-4-44-2-44−1−5−1+522-2−1−5−1+51+51−51+51−5002-21+521−521+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+52000000−1−521+52−1+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ794-4-44-2-44−1+5−1−522-2−1+5−1−51−51+51−51+5002-21−521+521−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−52000000−1+521−52−1−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000000
χ804-4-44-2-44−1+5−1−522-2−1+5−1−51−51+51−51+5002-21−521+521−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−52000000−1+521−52−1−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000000
χ8188-8-8-400−2−25−2+254-442+252−25−2−25−2+252+252−2500001+51−50000−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000
χ8288-8-8-400−2+25−2−254-442−252+25−2+25−2−252−252+2500001−51+50000−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000
χ838-88-8-400−2−25−2+25-4442+252−252+252−25−2−25−2+2500001+51−500001+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000
χ848-88-8-400−2+25−2−25-4442−252+252−252+25−2+25−2−2500001−51+500001−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000

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