Finite Group Databasebeta

← Group #13086160

Character table — Group #13086160

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
χ2522-2-22222-22-2-2-22-2-222-2-222-2-22222-2-2-2-22-2-22-2-222000000222-2-22-2-20000000000000000000000000000000000000002i−2i2i2i−2i−2i000000000
χ2622-2-22222-22-2-2-22-2-222-2-222-2-22222-2-2-2-22-2-22-2-222000000222-2-22-2-2000000000000000000000000000000000000000−2i2i−2i−2i2i2i000000000
χ2722-2-2-1222-2-11-212-2-222-2-2-1-111-1-12211112-2-22-2-2-1-100−i3−i3i3i3-1-1-111-1110033−3−30000000000000000000−i3−i3i3i3−i3−i3i3i30033−3−32i−2i−i−iii000000000
χ2822-2-2-1222-2-11-212-2-222-2-2-1-111-1-12211112-2-22-2-2-1-100−i3−i3i3i3-1-1-111-11100−3−3330000000000000000000−i3−i3i3i3−i3−i3i3i300−3−333−2i2iii−i−i000000000
χ2922-2-2-1222-2-11-212-2-222-2-2-1-111-1-12211112-2-22-2-2-1-100i3i3−i3−i3-1-1-111-1110033−3−30000000000000000000i3i3−i3−i3i3i3−i3−i30033−3−3−2i2iii−i−i000000000
χ3022-2-2-1222-2-11-212-2-222-2-2-1-111-1-12211112-2-22-2-2-1-100i3i3−i3−i3-1-1-111-11100−3−3330000000000000000000i3i3−i3−i3i3i3−i3−i300−3−3332i−2i−i−iii000000000
χ312-22-222222-2-2-22-2-2-2-2-2222-22-222222-22-2-22-2-22-2-2-200000022-22-2-22-22i−2i2i−2i2i−2i0000000000000000000000000002i−2i2i−2i2i−2i000000000000000
χ322-22-222222-2-2-22-2-2-2-2-2222-22-222222-22-2-22-2-22-2-2-200000022-22-2-22-2−2i2i−2i2i−2i2i000000000000000000000000000−2i2i−2i2i−2i2i000000000000000
χ332-22-22-122-1-2-2121-2-2-2-222-11-1122-1-12-22-21-111-11-2-2000000-1-11-111-112i−2i2i−2i2i−2i0−i3i300000000−i3−i3i3i3−i3−i3i3i300000000−ii−ii−ii0000000000003−30
χ342-22-22-122-1-2-2121-2-2-2-222-11-1122-1-12-22-21-111-11-2-2000000-1-11-111-112i−2i2i−2i2i−2i0i3−i300000000i3i3−i3−i3i3i3−i3−i300000000−ii−ii−ii000000000000−330
χ352-22-22-122-1-2-2121-2-2-2-222-11-1122-1-12-22-21-111-11-2-2000000-1-11-111-11−2i2i−2i2i−2i2i0−i3i300000000−i3−i3i3i3−i3−i3i3i300000000i−ii−ii−i000000000000−330
χ362-22-22-122-1-2-2121-2-2-2-222-11-1122-1-12-22-21-111-11-2-2000000-1-11-111-11−2i2i−2i2i−2i2i0i3−i300000000i3i3−i3−i3i3i3−i3−i300000000i−ii−ii−i0000000000003−30
χ372-22-2-1222211-2-1-2-2-2-2-222-11-11-1-122-11-11-22-2-22-211003−33−3-1-11-111-112i−2i−ii−ii00000000000000000003−33−33−33−32i−2i−ii−ii00−i3i3−i3i3000000000
χ382-22-2-1222211-2-1-2-2-2-2-222-11-11-1-122-11-11-22-2-22-211003−33−3-1-11-111-11−2i2ii−ii−i00000000000000000003−33−33−33−3−2i2ii−ii−i00i3−i3i3−i3000000000
χ392-22-2-1222211-2-1-2-2-2-2-222-11-11-1-122-11-11-22-2-22-21100−33−33-1-11-111-112i−2i−ii−ii0000000000000000000−33−33−33−332i−2i−ii−ii00i3−i3i3−i3000000000
χ402-22-2-1222211-2-1-2-2-2-2-222-11-11-1-122-11-11-22-2-22-21100−33−33-1-11-111-11−2i2ii−ii−i0000000000000000000−33−33−33−33−2i2ii−ii−i00−i3i3−i3i3000000000
χ412-2-222222-2-222-2-222-2-2-2-22-2-222222-22-22-2-22-2-22-2-22i−2i2i−2i−2i2i22-2-22-2-2200000000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000
χ422-2-222222-2-222-2-222-2-2-2-22-2-222222-22-22-2-22-2-22-2-2−2i2i−2i2i2i−2i22-2-22-2-220000000000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ432-2-2222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+521+521−522i−2i2i−2i−2i2i−1−52−1+521+521+52−1−521−521−52−1+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+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ442-2-2222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+521+521−522i−2i2i−2i−2i2i−1−52−1+521+521+52−1−521−521−52−1+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−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ452-2-2222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+521+521−52−2i2i−2i2i2i−2i−1−52−1+521+521+52−1−521−521−52−1+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+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ462-2-2222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+521+521−52−2i2i−2i2i2i−2i−1−52−1+521+521+52−1−521−521−52−1+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−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ472-2-2222−1+52−1−52-2-222-2-2−1+52−1−521−521+521−521+522-2-22−1+52−1−52−1+52−1−521−52−1+521+52−1−521−521−52−1+521+521+52−1−521−521+522i−2i2i−2i−2i2i−1+52−1−521−521−52−1+521+521+52−1−52000000000ζ2+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−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+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+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+5−1−5422-4-2-41−51+51−51+5−1+5−1−5-22-221−521+52−1+5−1−51−52−1+521+52−1−521−5−1+51−51+5−1−51+5−1+52−1−520023−2323−231−521+52−1+521−52−1+52−1−521+52−1−520000000000000000000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000
χ874-44-4-24−1+5−1−5422-4-2-41−51+51−51+5−1+5−1−5-22-221−521+52−1+5−1−51−52−1+521+52−1−521−5−1+51−51+5−1−51+5−1+52−1−5200−2323−23231−521+52−1+521−52−1+52−1−521+52−1−520000000000000000000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000
χ884-44-4-2-244-2222-22-4-4-4-4441-11-1-2-2-2-2-22-222-222-222200000011-11-1-11-14i−4i−2i2i−2i2i000000000000000000000000000−2i2ii−ii−i000000000000000
χ894-44-4-2-244-2222-22-4-4-4-4441-11-1-2-2-2-2-22-222-222-222200000011-11-1-11-1−4i4i2i−2i2i−2i0000000000000000000000000002i−2i−ii−ii000000000000000
χ904-4-444-2442-44-2-4244-4-4-4-4-222-244-2-2-44-4422-222-2-4-4000000-2-222-222-2000000000000000000000000000000000000000000000000000000
χ914-4-444-2−1−5−1+52-44-2-42−1−5−1+51+51−51+51−5-222-2−1−5−1+51+521−521+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−521+51−50000001+521−52−1−52−1−521+52−1+52−1+521−52000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000000000000000000
χ924-4-444-2−1−5−1+52-44-2-42−1−5−1+51+51−51+51−5-222-2−1−5−1+51+521−521+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−521+51−50000001+521−52−1−52−1−521+52−1+52−1+521−520000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000000000000000000
χ934-4-444-2−1+5−1−52-44-2-42−1+5−1−51−51+51−51+5-222-2−1+5−1−51−521+521−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+521−51+50000001−521+52−1+52−1+521−52−1−52−1−521+520000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000−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
χ944-4-444-2−1+5−1−52-44-2-42−1+5−1−51−51+51−51+5-222-2−1+5−1−51−521+521−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+521−51+50000001−521+52−1+52−1+521−52−1−52−1−521+52000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000ζ2+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
χ954-4-44-24−1−5−1+5-42-242-4−1−5−1+51+51−51+51−5-222-21+521−52−1−5−1+5−1−521+52−1+521−521+51+5−1−51−51−5−1+5−1−52−1+524i−4i−2i2i2i−2i1+521−52−1−52−1−521+52−1+52−1+521−520000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000
χ964-4-44-24−1−5−1+5-42-242-4−1−5−1+51+51−51+51−5-222-21+521−52−1−5−1+5−1−521+52−1+521−521+51+5−1−51−51−5−1+5−1−52−1+52−4i4i2i−2i−2i2i1+521−52−1−52−1−521+52−1+52−1+521−5200000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000
χ974-4-44-24−1+5−1−5-42-242-4−1+5−1−51−51+51−51+5-222-21−521+52−1+5−1−5−1+521−52−1−521+521−51−5−1+51+51+5−1−5−1+52−1−524i−4i−2i2i2i−2i1−521+52−1+52−1+521−52−1−52−1−521+520000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000
χ984-4-44-24−1+5−1−5-42-242-4−1+5−1−51−51+51−51+5-222-21−521+52−1+5−1−5−1+521−52−1−521+521−51−5−1+51+51+5−1−5−1+52−1−52−4i4i2i−2i−2i2i1−521+52−1+52−1+521−52−1−52−1−521+5200000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000
χ994-4-44-2-24422-2-22244-4-4-4-41-1-11-2-2-2-22-22-222-222-22200000011-1-11-1-1100−2i32i32i3−2i300000000000000000000000000000i3−i3−i3i3000000000000000
χ1004-4-44-2-24422-2-22244-4-4-4-41-1-11-2-2-2-22-22-222-222-22200000011-1-11-1-11002i3−2i3−2i32i300000000000000000000000000000−i3i3i3−i3000000000000000
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+254-4444-42+252−25−2−25−2+252+252−2522-2-21+51−51+51−5−1−5−1−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51−5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−254-4444-42−252+25−2+25−2−252−252+2522-2-21−51+51−51+5−1+5−1+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51+5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+25-4444-442+252−252+252−25−2−25−2+252-22-21+51−51+51−51+5−1−51−5−1+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+25−2−25-4444-442−252+252−252+25−2+25−2−252-22-21−51+51−51+51−5−1+51+5−1−5−1+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+2544-4-444−2−25−2+252+252−252+252−252-2-221+51−51+51−5−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−2544-4-444−2+25−2−252−252+252−252+252-2-221−51+51−51+5−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−5000000−1+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.