Finite Group Databasebeta

← Group #14512574

Character table — Group #14512574

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11244444444444446688101012161616161616161616161616161616161616202020202024242424303040404040606060606080808080808080808080
order12223356610101010101010446644466151530303030303030303030303030302888820202020221212121248888662424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111111111111111111-1ii−i−i1111-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i
χ411111111111111111111-1-11111111111111111111-1−i−iii1111-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii
χ51111−1−i32−1+i321−1−i32−1+i32111111111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111−1−i32−1+i321−1−i32−1+i32111111111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321-1-1-1-1111111−1−i32−1−i32−1+i32−1+i321-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ71111−1−i32−1+i321−1−i32−1+i32111111111−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1ii−i−i1111-1-11+i321+i321−i321−i32-1ii−i−i1+i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ81111−1−i32−1+i321−1−i32−1+i32111111111−1−i32−1+i32-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1−i−iii1111-1-11+i321+i321−i321−i32-1−i−iii1+i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ91111−1+i32−1−i321−1+i32−1−i32111111111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ101111−1+i32−1−i321−1+i32−1−i32111111111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321-1-1-1-1111111−1+i32−1+i32−1−i32−1−i321-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ111111−1+i32−1−i321−1+i32−1−i32111111111−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1ii−i−i1111-1-11−i321−i321+i321+i32-1ii−i−i1−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ121111−1+i32−1−i321−1+i32−1−i32111111111−1+i32−1−i32-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1−i−iii1111-1-11−i321−i321+i321+i32-1−i−iii1−i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ13111-11111111-1-1-1-11111111-1-1-111111-1-1-1-1111-1-1-1-1-11-11-111-1-1111111-11-11-1-1-11-11-11-11-1
χ14111-11111111-1-1-1-11111111-1-1-111111-1-1-1-1111-1-1-1-1-1-11-1111-1-1111111-1-11-11-1-1-11-11-11-11
χ15111-11111111-1-1-1-111111-1-1-1-1-111111-1-1-1-1111-1-1-1-11i−i−ii11-1-1-1-1-1-1-1-11i−i−ii11i−ii−i−ii−ii
χ16111-11111111-1-1-1-111111-1-1-1-1-111111-1-1-1-1111-1-1-1-11−iii−i11-1-1-1-1-1-1-1-11−iii−i11−ii−iii−ii−i
χ17111-1−1−i32−1+i321−1−i32−1+i3211-1-1-1-1111−1−i32−1+i3211-11+i321−i32−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-11-111-1-111−1−i32−1−i32−1+i32−1+i32-11-11-11+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ18111-1−1−i32−1+i321−1−i32−1+i3211-1-1-1-1111−1−i32−1+i3211-11+i321−i32−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-11-1111-1-111−1−i32−1−i32−1+i32−1+i32-1-11-111+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ19111-1−1−i32−1+i321−1−i32−1+i3211-1-1-1-1111−1−i32−1+i32-1-1-11+i321−i32−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321i−i−ii11-1-1-1-11+i321+i321−i321−i321i−i−ii−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ20111-1−1−i32−1+i321−1−i32−1+i3211-1-1-1-1111−1−i32−1+i32-1-1-11+i321−i32−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−iii−i11-1-1-1-11+i321+i321−i321−i321−iii−i−1−i32−1+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ21111-1−1+i32−1−i321−1+i32−1−i3211-1-1-1-1111−1+i32−1−i3211-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-11-111-1-111−1+i32−1+i32−1−i32−1−i32-11-11-11−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ22111-1−1+i32−1−i321−1+i32−1−i3211-1-1-1-1111−1+i32−1−i3211-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-11-1111-1-111−1+i32−1+i32−1−i32−1−i32-1-11-111−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ23111-1−1+i32−1−i321−1+i32−1−i3211-1-1-1-1111−1+i32−1−i32-1-1-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321i−i−ii11-1-1-1-11−i321−i321+i321+i321i−i−ii−1+i32−1−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ24111-1−1+i32−1−i321−1+i32−1−i3211-1-1-1-1111−1+i32−1−i32-1-1-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−iii−i11-1-1-1-11−i321−i321+i321+i321−iii−i−1+i32−1−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ2522-2022222-2-2000022-2-2-22-2000222-2-200002-2-20000000002-2002-22-22-2000000000000000
χ2622-2022222-2-2000022-2-2-2-22000222-2-200002-2-20000000002-200-22-22-22000000000000000
χ2722-20−1−i3−1+i32−1−i3−1+i3-2-2000022-21+i31−i32-2000−1−i3−1+i3−1−i31+i31+i30000−1+i31−i31−i30000000002-2002-2−1−i31+i3−1+i31−i3000000000000000
χ2822-20−1−i3−1+i32−1−i3−1+i3-2-2000022-21+i31−i3-22000−1−i3−1+i3−1−i31+i31+i30000−1+i31−i31−i30000000002-200-221+i3−1−i31−i3−1+i3000000000000000
χ2922-20−1+i3−1−i32−1+i3−1−i3-2-2000022-21−i31+i32-2000−1+i3−1−i3−1+i31−i31−i30000−1−i31+i31+i30000000002-2002-2−1+i31−i3−1−i31+i3000000000000000
χ3022-20−1+i3−1−i32−1+i3−1−i3-2-2000022-21−i31+i3-22000−1+i3−1−i3−1+i31−i31−i30000−1−i31+i31+i30000000002-200-221−i3−1+i31+i3−1−i3000000000000000
χ313333003003333333-1-10033-100000000000000000033333-1-1-1-1-1-10000-1-1-1-1-10000000000
χ323333003003333333-1-10033-10000000000000000003-3-3-3-3-1-1-1-1-1-10000-111110000000000
χ333333003003333333-1-100-3-3-1000000000000000000-33i3i−3i−3i-1-1-1-11100001−i−iii0000000000
χ343333003003333333-1-100-3-3-1000000000000000000-3−3i−3i3i3i-1-1-1-11100001ii−i−i0000000000
χ35333-30030033-3-3-3-33-1-100331000000000000000000-33-33-3-1-111-1-100001-11-110000000000
χ36333-30030033-3-3-3-33-1-100331000000000000000000-3-33-33-1-111-1-1000011-11-10000000000
χ37333-30030033-3-3-3-33-1-100-3-3100000000000000000033i−3i−3i3i-1-111110000-1−iii−i0000000000
χ38333-30030033-3-3-3-33-1-100-3-310000000000000000003−3i3i3i−3i-1-111110000-1i−i−ii0000000000
χ39444444-144-1-1-1-1-1-1-1444400444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-1-1-1-1000000000000000000000
χ404444−2−2i3−2+2i3-1−2−2i3−2+2i3-1-1-1-1-1-1-144−2−2i3−2+2i3004−2−2i3−2+2i31+i321−i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i3200000-1-1-1-1000000000000000000000
χ414444−2+2i3−2−2i3-1−2+2i3−2−2i3-1-1-1-1-1-1-144−2+2i3−2−2i3004−2+2i3−2−2i31−i321+i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i3200000-1-1-1-1000000000000000000000
χ42444-444-144-1-11111-1444400-4-4-4-1-1-1-1-11111-1-1-1111100000-1-111000000000000000000000
χ43444-4−2−2i3−2+2i3-1−2−2i3−2+2i3-1-11111-144−2−2i3−2+2i300-42+2i32−2i31+i321−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000-1-111000000000000000000000
χ44444-4−2+2i3−2−2i3-1−2+2i3−2−2i3-1-11111-144−2+2i3−2−2i300-42−2i32+2i31−i321+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000-1-111000000000000000000000
χ4544-4044-14411−5−555-14-4-4-400000-1-1-111−5−555-111−5−55500000-11−55000000000000000000000
χ4644-4044-1441155−5−5-14-4-4-400000-1-1-11155−5−5-11155−5−500000-115−5000000000000000000000
χ4744-40−2−2i3−2+2i3-1−2−2i3−2+2i311−5−555-14-42+2i32−2i3000001+i321−i321+i32−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ581−i32−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ3800000-11−55000000000000000000000
χ4844-40−2−2i3−2+2i3-1−2−2i3−2+2i31155−5−5-14-42+2i32−2i3000001+i321−i321+i32−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ581−i32−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ3800000-115−5000000000000000000000
χ4944-40−2+2i3−2−2i3-1−2+2i3−2−2i311−5−555-14-42−2i32+2i3000001−i321+i321−i32−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ381+i32−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ5800000-11−55000000000000000000000
χ5044-40−2+2i3−2−2i3-1−2+2i3−2−2i31155−5−5-14-42−2i32+2i3000001−i321+i321−i32−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ381+i32−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ5800000-115−5000000000000000000000
χ5166-6000600-6-600006-22006-6000000000000000000000000-2200-220000000000000000000
χ5266-6000600-6-600006-2200-66000000000000000000000000-22002-20000000000000000000
χ538-800-4-4844000000-8000000000-4-440000004000000000000000000000000000000000000
χ548-800-4-4-244−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58200000000011-1−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58-1−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58000000000000000000000000000000
χ558-800-4-4-244−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58200000000011-1−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58-1−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58000000000000000000000000000000
χ568-800-4-4-24425−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58200000000011-15−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58-15−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58000000000000000000000000000000
χ578-800-4-4-24425−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ58200000000011-15−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58-15−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58000000000000000000000000000000
χ588-8002+2i32−2i38−2−2i3−2+2i3000000-80000000002+2i32−2i3−2−2i3000000−2+2i3000000000000000000000000000000000000
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χ618-8002+2i32−2i3-2−2−2i3−2+2i325−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ582000000000−1−i32−1+i321+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ581−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38000000000000000000000000000000
χ628-8002+2i32−2i3-2−2−2i3−2+2i325−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582000000000−1−i32−1+i321+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ581−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38000000000000000000000000000000
χ638-8002−2i32+2i38−2+2i3−2−2i3000000-80000000002−2i32+2i3−2+2i3000000−2−2i3000000000000000000000000000000000000
χ648-8002−2i32+2i3-2−2+2i3−2−2i3−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582000000000−1+i32−1−i321−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ381+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58000000000000000000000000000000
χ658-8002−2i32+2i3-2−2+2i3−2−2i3−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582000000000−1+i32−1−i321−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ381+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58000000000000000000000000000000
χ668-8002−2i32+2i3-2−2+2i3−2−2i325−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ582000000000−1+i32−1−i321−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2−ζ14+ζ26+ζ38ζ2+ζ14−ζ26−ζ38ζ2−ζ14+ζ26−ζ38−ζ2+ζ14−ζ26+ζ381+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22−ζ34+ζ46+ζ58ζ22+ζ34−ζ46−ζ58ζ22−ζ34+ζ46−ζ58−ζ22+ζ34−ζ46+ζ58000000000000000000000000000000
χ678-8002−2i32+2i3-2−2+2i3−2−2i325−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582000000000−1+i32−1−i321−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ381+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58000000000000000000000000000000
χ681212121200-300-3-3-3-3-3-3-3-4-40000-4000000000000000000000001111000000000000000000000
χ69121212-1200-300-3-33333-3-4-4000040000000000000000000000011-1-1000000000000000000000
χ701212-12000-30033−35−353535-3-4400000000000000000000000000001-15−5000000000000000000000
χ711212-12000-300333535−35−35-3-4400000000000000000000000000001-1−55000000000000000000000

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