Finite Group Databasebeta

← Group #13086185

Character table — Group #13086185

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444666666888888881010101010101212121212121212121212121212121212121212121212121212122020202020203030303030303636363636606060180
order122233556666661010101010103666151515153030303030303030303030304412121212151530303030303044121212122661010101020202020303030303030303060606060606060601212121212124412121212420202020412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ9222222−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000222−1−52−1−52−1+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+520000000000002−1−52−1−52−1+52−1+520000
χ10222222−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-21+521+521−521−520000
χ11222222−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000-21+521+521−521−520000
χ12222222−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000002−1−52−1−52−1+52−1+520000
χ13222222−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000222−1+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+52−1−52−1−52−1−52−1−520000000000002−1+52−1+52−1−52−1−520000
χ14222222−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-21−521−521+521+520000
χ15222222−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-21−521−521+521+520000
χ16222222−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000002−1+52−1+52−1−52−1−520000
χ1722222-122-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-12222222-1-122220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1000000000002-1-10
χ1822222-122-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1222222-211-2-2-2-200001111111100000000-1-1-1-1-1-100000000000-2110
χ1922222-122-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-22-1-122220000-1-1-1-1-1-1-1-10000000011111100000000000-2110
χ2022222-122-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-2-2-200001111111100000000111111000000000002-1-10
χ212222-12222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000222200000000-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000000
χ222222-12222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000222200000000-1-1-1-1-1-1-1-1-2-21111-2-21111000000000
χ232222-12222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-21111-1-1-1-1-1-1-1-122-1-1-1-10000000-2-2-2-2000000001111111122-1-1-1-1-2-21111000000000
χ242222-12222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-21111-1-1-1-1-1-1-1-1-2-211110000000-2-2-2-20000000011111111-2-2111122-1-1-1-1000000000
χ2522-2-22222-2-222-2-2-2-2-2-2222-2-2222222-22-22-2-22-2-2-2-2000000222-2-22-2-20000000000000000000000000000000000000002i−2i2i2i−2i−2i000000000
χ2622-2-22222-2-222-2-2-2-2-2-2222-2-2222222-22-22-2-22-2-2-2-2000000222-2-22-2-2000000000000000000000000000000000000000−2i2i−2i−2i2i2i000000000
χ2722-2-2-1222-21-121-2-2-2-2-222-111-1-1-122-11-112-2-22-2-2110033−3−3-1-1-111-11100−i3−i3i3i3000000000000000000033−3−333−3−300−i3−i3i3i32i−2i−i−iii000000000
χ2822-2-2-1222-21-121-2-2-2-2-222-111-1-1-122-11-112-2-22-2-2110033−3−3-1-1-111-11100i3i3−i3−i3000000000000000000033−3−333−3−300i3i3−i3−i3−2i2iii−i−i000000000
χ2922-2-2-1222-21-121-2-2-2-2-222-111-1-1-122-11-112-2-22-2-21100−3−333-1-1-111-11100−i3−i3i3i30000000000000000000−3−333−3−33300−i3−i3i3i3−2i2iii−i−i000000000
χ3022-2-2-1222-21-121-2-2-2-2-222-111-1-1-122-11-112-2-22-2-21100−3−333-1-1-111-11100i3i3−i3−i30000000000000000000−3−333−3−33300i3i3−i3−i32i−2i−i−iii000000000
χ312-22-22222-2-2-2-22222-2-2-2-222-2-22222-22-22-22-2-22-2-2-22i−2i2i−2i2i−2i22-22-2-22-200000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000
χ322-22-22222-2-2-2-22222-2-2-2-222-2-22222-22-22-22-2-22-2-2-2−2i2i−2i2i−2i2i22-22-2-22-20000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ332-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521+521−52−1+521−521+521−522i−2i2i−2i2i−2i−1−52−1+521+52−1−521+521−52−1+521−52000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ342-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521+521−52−1+521−521+521−522i−2i2i−2i2i−2i−1−52−1+521+52−1−521+521−52−1+521−52000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ352-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521+521−52−1+521−521+521−52−2i2i−2i2i−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ362-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521+521−52−1+521−521+521−52−2i2i−2i2i−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ372-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521−521+52−1−521+521−521+522i−2i2i−2i2i−2i−1+52−1−521−52−1+521−521+52−1−521+52000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
χ382-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521−521+52−1−521+521−521+522i−2i2i−2i2i−2i−1+52−1−521−52−1+521−521+52−1−521+52000000000−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+ζ59−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000
χ392-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521−521+52−1−521+521−521+52−2i2i−2i2i−2i2i−1+52−1−521−52−1+521−521+52−1−521+52000000000ζ2+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−ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000
χ402-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521−521+52−1−521+521−521+52−2i2i−2i2i−2i2i−1+52−1−521−52−1+521−521+52−1−521+52000000000−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−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
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χ864-44-4-24−1+5−1−5-422-4-24−1+5−1−51−51+51−51+5-2-2221−521+52−1+5−1−5−1+521−52−1−521+521−5−1+51−51+5−1−51+5−1+52−1−52−4i4i2i−2i2i−2i1−521+52−1+521−52−1+52−1−521+52−1−5200000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000
χ874-44-4-2-2442222-2-244-4-4-4-411-1-1-2-2-2-22-22-22-222-222200000011-11-1-11-10023−2323−2300000000000000000000000000000−33−33000000000000000
χ884-44-4-2-2442222-2-244-4-4-4-411-1-1-2-2-2-22-22-22-222-222200000011-11-1-11-100−2323−2323000000000000000000000000000003−33−3000000000000000
χ894-4-4444−1−5−1+544-4-4-4-41+51−5−1−5−1+51+51−54-44-4−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1+5000000−1−5−1+51+51+5−1−51−51−5−1+5000000000000000000000000000000000000000000000000000000
χ904-4-4444−1+5−1−544-4-4-4-41−51+5−1+5−1−51−51+54-44-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−5000000−1+5−1−51−51−5−1+51+51+5−1−5000000000000000000000000000000000000000000000000000000
χ914-4-444-2−1−5−1+5-24-42-421+51−5−1−5−1+51+51−5-22-22−1−5−1+51+521−521+51+51−51−5−1−52−1−521+52−1+52−1+521−52−1−5−1+50000001+521−52−1−52−1−521+52−1+52−1+521−520000000−2i32i300000000ζ14+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+ζ5800000000000000000000000000000
χ924-4-444-2−1−5−1+5-24-42-421+51−5−1−5−1+51+51−5-22-22−1−5−1+51+521−521+51+51−51−5−1−52−1−521+52−1+52−1+521−52−1−5−1+50000001+521−52−1−52−1−521+52−1+52−1+521−5200000002i3−2i300000000−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−ζ5800000000000000000000000000000
χ934-4-444-2−1+5−1−5-24-42-421−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51−51+51+5−1+52−1+521−52−1−52−1−521+52−1+5−1−50000001−521+52−1+52−1+521−52−1−52−1−521+520000000−2i32i300000000ζ2−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+ζ4600000000000000000000000000000
χ944-4-444-2−1+5−1−5-24-42-421−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51−51+51+5−1+52−1+521−52−1−52−1−521+52−1+5−1−50000001−521+52−1+52−1+521−52−1−52−1−521+5200000002i3−2i300000000−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−ζ4600000000000000000000000000000
χ954-4-44-24−1−5−1+54-22-42-41+51−5−1−5−1+51+51−5-22-221+521−52−1−5−1+5−1−52−1−52−1+52−1+521+51+5−1−51−51−5−1+51+521−5200−2i32i32i3−2i31+521−52−1−52−1−521+52−1+52−1+521−520000000000000000000000000ζ14+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−ζ58000000000000000000000
χ964-4-44-24−1−5−1+54-22-42-41+51−5−1−5−1+51+51−5-22-221+521−52−1−5−1+5−1−52−1−52−1+52−1+521+51+5−1−51−51−5−1+51+521−52002i3−2i3−2i32i31+521−52−1−52−1−521+52−1+52−1+521−520000000000000000000000000−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+ζ58000000000000000000000
χ974-4-44-24−1+5−1−54-22-42-41−51+5−1+5−1−51−51+5-22-221−521+52−1+5−1−5−1+52−1+52−1−52−1−521−51−5−1+51+51+5−1−51−521+5200−2i32i32i3−2i31−521+52−1+52−1+521−52−1−52−1−521+520000000000000000000000000ζ2−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−ζ46000000000000000000000
χ984-4-44-24−1+5−1−54-22-42-41−51+5−1+5−1−51−51+5-22-221−521+52−1+5−1−5−1+52−1+52−1−52−1−521−51−5−1+51+51+5−1−51−521+52002i3−2i3−2i32i31−521+52−1+52−1+521−52−1−52−1−521+520000000000000000000000000−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+ζ46000000000000000000000
χ994-4-44-2-244-2-22222-4-444-4-41-11-1-2-2-2-2222222-222-2-2-200000011-1-11-1-114i−4i−2i2i2i−2i000000000000000000000000000−2i2ii−i−ii000000000000000
χ1004-4-44-2-244-2-22222-4-444-4-41-11-1-2-2-2-2222222-222-2-2-200000011-1-11-1-11−4i4i2i−2i−2i2i0000000000000000000000000002i−2i−iii−i000000000000000
χ1018888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51−51+51−51+51+51−51−51+51+51+51−51−51−51+51−5000000−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
χ1028888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51+51−51+51−51−51+51+51−51−51−51+51+51+51−51+5000000−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4−2−25−2+2544-4-4442+252−252+252−25−2−25−2+252-2-221+51−51+51−51+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+5−1−5−1+5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−2544-4-4442−252+252−252+25−2+25−2−252-2-221−51+51−51+51−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−5−1+5−1−5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+254444-4-4−2−25−2+252+252−252+252−2522-2-21+51−51+51−5−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+5000000−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−254444-4-4−2+25−2−252−252+252−252+2522-2-21−51+51−51+5−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−5000000−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4−2−25−2+25-4-444442+252−25−2−25−2+252+252−252-22-21+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−51+5−1+5−1+51−51+51−5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−25-4-444442−252+25−2+25−2−252−252+252-22-21−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+51−5−1−5−1−51+51−51+5000000−1+52−1−521−521−52−1+521+521+52−1−52000000000000000000000000000000000000000000000000000000

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