Finite Group Databasebeta

← Group #11749145

Character table — Group #11749145

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222222444444444444444444444448888888888888888202020202020202020202020242424242424242424246060120
order1223445561010226666610101212151520202020303030303030101010103030303030303030606060602244666612121212884040404040404040444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11111-1-1-1-111-1
χ611111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-11-1-1-1-11111-1-11
χ711111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-11111-1-1-1-1-1-11
χ811111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11-1-1-1-1111111-1
χ9222222−1−52−1+522−1−52−1+522222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ10222222−1−52−1+522−1−52−1+522222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−52000
χ11222222−1−52−1+522−1−52−1+52-2-22-2-2-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000
χ12222222−1−52−1+522−1−52−1+52-2-22-2-2-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+52000
χ13222222−1+52−1−522−1+52−1−522222222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ14222222−1+52−1−522−1+52−1−522222222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+52000
χ15222222−1+52−1−522−1+52−1−52-2-22-2-2-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000
χ16222222−1+52−1−522−1+52−1−52-2-22-2-2-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000000000000-221−521−521+521+52−1+52−1+52−1−52−1−52000
χ172222-2-2222222-2222-2-222-2-222-2-2-2-22222222-22-222-2-222-2-2-2-2-2-20000000000000000000000000
χ182222-2-222222-222-2-22222-2-222-2-2-2-2222222-22-22-2-222-2-222-2-2-2-20000000000000000000000000
χ192222-2-2−1−52−1+522−1−52−1+522-2222-2-2−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200000000000000−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−ζ47000
χ202222-2-2−1−52−1+522−1−52−1+522-2222-2-2−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200000000000000ζ11−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+ζ47000
χ212222-2-2−1−52−1+522−1−52−1+52-222-2-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200000000000000−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+ζ47000
χ222222-2-2−1−52−1+522−1−52−1+52-222-2-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200000000000000ζ11−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−ζ47000
χ232222-2-2−1+52−1−522−1+52−1−522-2222-2-2−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+521−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200000000000000ζ7−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+ζ59000
χ242222-2-2−1+52−1−522−1+52−1−522-2222-2-2−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+521−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200000000000000−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−ζ59000
χ252222-2-2−1+52−1−522−1+52−1−52-222-2-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200000000000000ζ7−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−ζ59000
χ262222-2-2−1+52−1−522−1+52−1−52-222-2-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200000000000000−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+ζ59000
χ27222-12222-12222-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000
χ28222-12222-12222-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000
χ29222-12222-122-2-2-1111122-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12-22-2-1-111-1-1110000000000000
χ30222-12222-122-2-2-1111122-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-22-2211-1-111-1-10000000000000
χ31222-1-2-222-1222-2-1-1-1112211-1-1-2-2-2-2-1-1-1-1-1-12-22-2-1-111-1-11111110000−i3i3−i3i3−i3i3−i3i30000000000000
χ32222-1-2-222-1222-2-1-1-1112211-1-1-2-2-2-2-1-1-1-1-1-12-22-2-1-111-1-11111110000i3−i3i3−i3i3−i3i3−i30000000000000
χ33222-1-2-222-122-22-111-1-12211-1-1-2-2-2-2-1-1-1-1-1-1-22-2211-1-111-1-111110000−i3i3i3−i3−i3i3i3−i30000000000000
χ34222-1-2-222-122-22-111-1-12211-1-1-2-2-2-2-1-1-1-1-1-1-22-2211-1-111-1-111110000i3−i3−i3i3i3−i3−i3i30000000000000
χ3522-222-22222200-20000-2-22-2222-22-2-2-2-2-2220000000000002-22-2020-2002200-2-20000000000000
χ3622-222-22222200-20000-2-22-2222-22-2-2-2-2-2220000000000002-22-20-20200-2-200220000000000000
χ3722-22-222222200-20000-2-2-2222-22-22-2-2-2-222000000000000-22-2220-202200-2-2000000000000000
χ3822-22-222222200-20000-2-2-2222-22-22-2-2-2-222000000000000-22-22-2020-2-20022000000000000000
χ3922-2-12-222-122001−i3i3−i3i3-2-2-11-1-12-22-21111-1-10000−i3i3−i3i3−i3i3−i3i3-11-11020-2−i3i3-1-1i3−i3110000000000000
χ4022-2-12-222-122001−i3i3−i3i3-2-2-11-1-12-22-21111-1-10000−i3i3−i3i3−i3i3−i3i3-11-110-202i3−i311−i3i3-1-10000000000000
χ4122-2-12-222-122001i3−i3i3−i3-2-2-11-1-12-22-21111-1-10000i3−i3i3−i3i3−i3i3−i3-11-11020-2i3−i3-1-1−i3i3110000000000000
χ4222-2-12-222-122001i3−i3i3−i3-2-2-11-1-12-22-21111-1-10000i3−i3i3−i3i3−i3i3−i3-11-110-202−i3i311i3−i3-1-10000000000000
χ4322-2-1-2222-122001−i3i3i3−i3-2-21-1-1-1-22-221111-1-10000−i3i3i3−i3−i3i3i3−i31-11-120-20-1-1−i3i311i3−i30000000000000
χ4422-2-1-2222-122001−i3i3i3−i3-2-21-1-1-1-22-221111-1-10000−i3i3i3−i3−i3i3i3−i31-11-1-202011i3−i3-1-1−i3i30000000000000
χ4522-2-1-2222-122001i3−i3−i3i3-2-21-1-1-1-22-221111-1-10000i3−i3−i3i3i3−i3−i3i31-11-120-20-1-1i3−i311−i3i30000000000000
χ4622-2-1-2222-122001i3−i3−i3i3-2-21-1-1-1-22-221111-1-10000i3−i3−i3i3i3−i3−i3i31-11-1-202011−i3i3-1-1i3−i30000000000000
χ47444-244−1−5−1+5-2−1−5−1+544-2-2-2-2-2−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−520000000000000000000000000
χ48444-244−1−5−1+5-2−1−5−1+5-4-4-22222−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−521+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−520000000000000000000000000
χ49444-244−1+5−1−5-2−1+5−1−544-2-2-2-2-2−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+521−521−521+521+520000000000000000000000000
χ50444-244−1+5−1−5-2−1+5−1−5-4-4-22222−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+521−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+520000000000000000000000000
χ51444-2-4-4−1−5−1+5-2−1−5−1+54-4-2-2-222−1−5−1+5221+521−521+51+51−51−51+521+521−521−521+521−52−1−51+5−1+51−51+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000
χ52444-2-4-4−1−5−1+5-2−1−5−1+5-44-222-2-2−1−5−1+5221+521−521+51+51−51−51+521+521−521−521+521−521+5−1−51−5−1+5−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000
χ53444-2-4-4−1+5−1−5-2−1+5−1−54-4-2-2-222−1+5−1−5221−521+521−51−51+51+51−521−521+521+521−521+52−1+51−5−1−51+51−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000
χ54444-2-4-4−1+5−1−5-2−1+5−1−5-44-222-2-2−1+5−1−5221−521+521−51−51+51+51−521−521+521+521−521+521−5−1+51+5−1−5−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000
χ5544-444-4−1−5−1+54−1−5−1+500-400001+51−54-4−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+5000000000000−1−51+5−1+51−50000000000000000000000000
χ5644-444-4−1+5−1−54−1+5−1−500-400001−51+54-4−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−5000000000000−1+51−5−1−51+50000000000000000000000000
χ5744-44-44−1−5−1+54−1−5−1+500-400001+51−5-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+50000000000000000000000000
χ5844-44-44−1+5−1−54−1+5−1−500-400001−51+5-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−50000000000000000000000000
χ5944-4-24-4−1−5−1+5-2−1−5−1+5002−2i32i3−2i32i31+51−5-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+52−1−521−52−1+520000000000000000000000000
χ6044-4-24-4−1−5−1+5-2−1−5−1+50022i3−2i32i3−2i31+51−5-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+52−1−521−52−1+520000000000000000000000000
χ6144-4-24-4−1+5−1−5-2−1+5−1−5002−2i32i3−2i32i31−51+5-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−52−1+521+52−1−520000000000000000000000000
χ6244-4-24-4−1+5−1−5-2−1+5−1−50022i3−2i32i3−2i31−51+5-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−52−1+521+52−1−520000000000000000000000000
χ6344-4-2-44−1−5−1+5-2−1−5−1+5002−2i32i32i3−2i31+51−52-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−521+52−1+521−520000000000000000000000000
χ6444-4-2-44−1−5−1+5-2−1−5−1+50022i3−2i3−2i32i31+51−52-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−521+52−1+521−520000000000000000000000000
χ6544-4-2-44−1+5−1−5-2−1+5−1−5002−2i32i32i3−2i31−51+52-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+521−52−1−521+520000000000000000000000000
χ6644-4-2-44−1+5−1−5-2−1+5−1−50022i3−2i3−2i32i31−51+52-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+521−52−1−521+520000000000000000000000000
χ674-4040044-4-4-4000000000004400000000-4-4000000000000000000000000000000000000002i−2i0
χ684-4040044-4-4-4000000000004400000000-4-400000000000000000000000000000000000000−2i2i0
χ698-80800−2−25−2+25-82+252−2500000000000−2−25−2+25000000002+252−2500000000000000000000000000000000000000000
χ708-80800−2+25−2−25-82−252+2500000000000−2+25−2−25000000002−252+2500000000000000000000000000000000000000000
χ718-80-400884-8-800000000000-4-4000000004400000000000000000000000000000000000000000
χ728-80-400−2−25−2+2542+252−25000000000001+51−500002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+500000000000000000000000000000000000000000
χ738-80-400−2−25−2+2542+252−25000000000001+51−50000−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+500000000000000000000000000000000000000000
χ748-80-400−2+25−2−2542−252+25000000000001−51+50000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500000000000000000000000000000000000000000
χ758-80-400−2+25−2−2542−252+25000000000001−51+500002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500000000000000000000000000000000000000000

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