Finite Group Databasebeta

← Group #11752955

Character table — Group #11752955

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444466668888888888888888881010101012121212121212121212202020202020242424243030303040406060
order122235566610101010101024410101010121215153030303030304444612202020203030303060606060606060604444242020202020202020241212121210102020444461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-111-1-1-1-111-1-11-1-11
χ611111111111111111-1-11111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1111-1-1-1-1-1-1-1-111-111-1
χ711111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1-1111-11-1
χ811111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-11-11
χ91111111111111111-11-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111
χ101111111111111111-11-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-11-111-1-111-1-111111-1-1-1
χ111111111111111111-11-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-11111-11-1-111-1-1111111-11-1-1
χ121111111111111111-11-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-111111-111-1-1-1-111-1-1-1-11-111
χ131111111111111111-1-11-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ141111111111111111-1-11-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ151111111111111111-1-11-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-1
χ161111111111111111-1-11-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-11
χ1722222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+5200000000
χ1822222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−5200000000
χ1922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−5200000000
χ2022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+5200000000
χ2122222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−5200000000
χ2222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000
χ2322222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+5200000000
χ2422222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−5200000000
χ2522222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−5200000000
χ2622222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+5200000000
χ2722222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+5200000000
χ2822222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−5200000000
χ2922222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000
χ3022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−5200000000
χ3122222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−5200000000
χ3222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+5200000000
χ332222-122-1-1-12222222222222-1-1-1-1-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-100000000-1-100
χ342222-122-1-1-12222222222222-1-1-1-1-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-21111000000001100
χ352222-122-1-1-12222222-2-2222211-1-1-1-1-1-1-1-10000-11-2-2-2-2-1-1-1-11111111122-2-200000000002-211-1-100000000-1100
χ362222-122-1-1-12222222-2-2222211-1-1-1-1-1-1-1-10000-11-2-2-2-2-1-1-1-111111111-2-2220000000000-22-1-111000000001-100
χ372222-122-1-1-1222222-22-2-2-2-2-211-1-1-1-1-1-1-1-100001-122-2-21111-1-1-1-1111122-2-20000000000-2211-1-1000000001-100
χ382222-122-1-1-1222222-22-2-2-2-2-211-1-1-1-1-1-1-1-100001-122-2-21111-1-1-1-11111-2-22200000000002-2-1-11100000000-1100
χ392222-122-1-1-1222222-2-22-2-2-2-2-1-1-1-1-1-1-1-1-1-1000011-2-22211111111-1-1-1-122220000000000-2-2-1-1-1-1000000001100
χ402222-122-1-1-1222222-2-22-2-2-2-2-1-1-1-1-1-1-1-1-1-1000011-2-22211111111-1-1-1-1-2-2-2-2000000000022111100000000-1-100
χ4122-2-2222-2-222-22-2-2-200000000022-2-22-22-2002i−2i0000000000000000002-2000000002i−2i2i−2i00002-200002i−2i000000
χ4222-2-2222-2-222-22-2-2-200000000022-2-22-22-2002i−2i000000000000000000-22000000002i−2i2i−2i0000-220000−2i2i000000
χ4322-2-2222-2-222-22-2-2-200000000022-2-22-22-200−2i2i0000000000000000002-200000000−2i2i−2i2i00002-20000−2i2i000000
χ4422-2-2222-2-222-22-2-2-200000000022-2-22-22-200−2i2i000000000000000000-2200000000−2i2i−2i2i0000-2200002i−2i000000
χ452-2-222222-2-2-22-22-2-200000000022-2-2-22-222i−2i00000000000000000000002i−2i002i−2i2i−2i0000002i−2i000000002-20000
χ462-2-222222-2-2-22-22-2-200000000022-2-2-22-222i−2i0000000000000000000000−2i2i002i−2i2i−2i000000−2i2i00000000-220000
χ472-2-222222-2-2-22-22-2-200000000022-2-2-22-22−2i2i00000000000000000000002i−2i00−2i2i−2i2i0000002i−2i00000000-220000
χ482-2-222222-2-2-22-22-2-200000000022-2-2-22-22−2i2i0000000000000000000000−2i2i00−2i2i−2i2i000000−2i2i000000002-20000
χ494444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5444−1−5−1−5−1+5−1+5-2-21+521−521+521−521+521+521−521−520000-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ504444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-4-4−1−5−1−5−1+5−1+5221+521−521+521−521+521+521−521−520000-221+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ514444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-44-41+51+51−51−5221+521−521+521−521+521+521−521−5200002-2−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ524444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-441+51+51−51−5-2-21+521−521+521−521+521+521−521−520000221+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
χ534444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5444−1+5−1+5−1−5−1−5-2-21−521+521−521+521−521−521+521+520000-2-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ544444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54-4-4−1+5−1+5−1−5−1−5221−521+521−521+521−521−521+521+520000-221−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ554444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-44-41−51−51+51+5221−521+521−521+521−521−521+521+5200002-2−1+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
χ564444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-4-441−51−51+51+5-2-21−521+521−521+521−521−521+521+520000221−51+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
χ5744-4-44−1−5−1+5-4-44−1−51+5−1+51−51+51−5000000000−1−5−1+51+51−5−1−51+5−1+51−5004i−4i0000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000
χ5844-4-44−1−5−1+5-4-44−1−51+5−1+51−51+51−5000000000−1−5−1+51+51−5−1−51+5−1+51−500−4i4i00000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000
χ5944-4-44−1+5−1−5-4-44−1+51−5−1−51+51−51+5000000000−1+5−1−51−51+5−1+51−5−1−51+5004i−4i0000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000
χ6044-4-44−1+5−1−5-4-44−1+51−5−1−51+51−51+5000000000−1+5−1−51−51+5−1+51−5−1−51+500−4i4i00000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000
χ6144-4-4-24422-24-44-4-4-4000000000-2-222-22-2200000000000000000000004-40000000000000000-22000000000000
χ6244-4-4-24422-24-44-4-4-4000000000-2-222-22-220000000000000000000000-4400000000000000002-2000000000000
χ634-44-4444-44-4-4-4-4-4440000000004444-4-4-4-4000000000000000000000000000000000000000000000000000000
χ644-44-44−1−5−1+5-44-41+51+51−51−5−1−5−1+5000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800−1−5−1+5−1−5−1+51+51+51−51−50000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000000000000
χ654-44-44−1−5−1+5-44-41+51+51−51−5−1−5−1+50002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800−1−5−1+5−1−5−1+51+51+51−51−500000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000000000000000
χ664-44-44−1+5−1−5-44-41−51−51+51+5−1+5−1−50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600−1+5−1−5−1+5−1−51−51−51+51+500000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000
χ674-44-44−1+5−1−5-44-41−51−51+51+5−1+5−1−5000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600−1+5−1−5−1+5−1−51−51−51+51+50000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000
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χ694-44-4-2442-22-4-4-4-4440000000−2323-2-2-2-22222000000000000000000−2323−232300000000000000000000000000000000
χ704-44-4-2−1−5−1+52-221+51+51−51−5−1−5−1+5000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5823−231+521−521+521−52−1−52−1−52−1+52−1+520000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+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
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χ734-44-4-2−1−5−1+52-221+51+51−51−5−1−5−1+50002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−23231+521−521+521−52−1−52−1−52−1+52−1+520000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+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
χ744-44-4-2−1+5−1−52-221−51−51+51+5−1+5−1−50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4623−231−521+521−521+52−1+52−1+52−1−52−1−520000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000
χ754-44-4-2−1+5−1−52-221−51−51+51+5−1+5−1−50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−23231−521+521−521+52−1+52−1+52−1−52−1−520000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000000
χ764-44-4-2−1+5−1−52-221−51−51+51+5−1+5−1−5000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4623−231−521+521−521+52−1+52−1+52−1−52−1−520000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000
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χ784-4-444−1−5−1+54-4-41+5−1−51−5−1+51+51−5000000000−1−5−1+51+51−51+5−1−51−5−1+54i−4i00000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000
χ794-4-444−1−5−1+54-4-41+5−1−51−5−1+51+51−5000000000−1−5−1+51+51−51+5−1−51−5−1+5−4i4i000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000
χ804-4-444−1+5−1−54-4-41−5−1+51+5−1−51−51+5000000000−1+5−1−51−51+51−5−1+51+5−1−54i−4i00000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000
χ814-4-444−1+5−1−54-4-41−5−1+51+5−1−51−51+5000000000−1+5−1−51−51+51−5−1+51+5−1−5−4i4i000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000
χ824-4-44-244-222-44-44-4-4000000000-2-2222-22-20000000000000000000000004i−4i000000000000−2i2i00000000000000
χ834-4-44-244-222-44-44-4-4000000000-2-2222-22-2000000000000000000000000−4i4i0000000000002i−2i00000000000000
χ8488-8-8-4−2−25−2+2544-4−2−252+25−2+252−252+252−250000000001+51−5−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000
χ8588-8-8-4−2+25−2−2544-4−2+252−25−2−252+252−252+250000000001−51+5−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000
χ868-8-88-4−2−25−2+25-4442+25−2−252−25−2+252+252−250000000001+51−5−1−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000
χ878-8-88-4−2+25−2−25-4442−25−2+252+25−2−252−252+250000000001−51+5−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000

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