Finite Group Databasebeta

← Group #13086165

Character table — Group #13086165

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444666666888888881010101010101212121212121212121212121212121212121212121212121212122020202020203030303030303636363636606060180
order122233556666661010101010103666151515153030303030303030303030304412121212151530303030303044121212124121220202020202020206060606060606060606060606060606012121212121244121212124202020202664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
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+52000000-2-2-2−1−52−1−52−1+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
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+520000002221+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
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+52−1−52−1−52−1−52000000-2-2-2−1+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
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+52−1−52−1−52−1−520000002221−521−521+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
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
χ1722222-122-12-12-12222222-1-1-1-12-12-122-1-122-1-12-12-1000000-1-1-1-1-1-1-1-12222222-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000002-1-10
χ1822222-122-12-12-12222222-1-1-1-12-12-122-1-122-1-12-12-1000000-1-1-1-1-1-1-1-1222222-2110000-2-2-2-20000000011111111-1-1-1-1-1-100000000000-2110
χ1922222-122-12-12-12222222-1-1-1-12-12-122-1-122-1-12-12-1000000-1-1-1-1-1-1-1-1-2-2-2-2-2-22-1-10000222200000000-1-1-1-1-1-1-1-111111100000000000-2110
χ2022222-122-12-12-12222222-1-1-1-12-12-122-1-122-1-12-12-1000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2110000-2-2-2-20000000011111111111111000000000002-1-10
χ212222-12222-12-12-1222222-1-1-1-1-12-12-1-122-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100022220000-1-1-1-1-1-1-1-10000000022-1-1-1-122-1-1-1-1000000000
χ222222-12222-12-12-1222222-1-1-1-1-12-12-1-122-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100022220000-1-1-1-1-1-1-1-100000000-2-21111-2-21111000000000
χ232222-12222-12-12-1222222-1-1-1-1-12-12-1-122-1-122-12-12-2-21111-1-1-1-1-1-1-1-122-1-1-1-1000-2-2-2-20000111111110000000022-1-1-1-1-2-21111000000000
χ242222-12222-12-12-1222222-1-1-1-1-12-12-1-122-1-122-12-12-2-21111-1-1-1-1-1-1-1-1-2-21111000-2-2-2-200001111111100000000-2-2111122-1-1-1-1000000000
χ2522-2-22222-222-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222000000222-2-22-2-20000000000000000000000000000000000000002i−2i2i2i−2i−2i000000000
χ2622-2-22222-222-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222000000222-2-22-2-2000000000000000000000000000000000000000−2i2i−2i−2i2i2i000000000
χ2722-2-2-1222-2-121-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-1200−i3−i3i3i3-1-1-111-1110033−3−300000000000−i3−i3i3i3−i3−i3i3i3000000000033−3−32i−2i−i−iii000000000
χ2822-2-2-1222-2-121-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-1200−i3−i3i3i3-1-1-111-11100−3−33300000000000−i3−i3i3i3−i3−i3i3i30000000000−3−333−2i2iii−i−i000000000
χ2922-2-2-1222-2-121-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-1200i3i3−i3−i3-1-1-111-1110033−3−300000000000i3i3−i3−i3i3i3−i3−i3000000000033−3−3−2i2iii−i−i000000000
χ3022-2-2-1222-2-121-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-1200i3i3−i3−i3-1-1-111-11100−3−33300000000000i3i3−i3−i3i3i3−i3−i30000000000−3−3332i−2i−i−iii000000000
χ312-22-22222-2-2-222-2-2-2-2-2222-2-2222222-22-22-22-2-2-2-2-22i−2i2i−2i2i−2i22-22-2-22-20000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000
χ322-22-22222-2-2-222-2-2-2-2-2222-2-2222222-22-22-22-2-2-2-2-2−2i2i−2i2i−2i2i22-22-2-22-2000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000
χ332-22-222−1−52−1+52-2-2-222-21+521−521+521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−522i−2i2i−2i2i−2i−1−52−1+521+52−1−521+521−52−1+521−52000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−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+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ342-22-222−1−52−1+52-2-2-222-21+521−521+521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−522i−2i2i−2i2i−2i−1−52−1+521+52−1−521+521−52−1+521−52000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−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+ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ352-22-222−1−52−1+52-2-2-222-21+521−521+521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−2i2i−2i2i−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11+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−ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ362-22-222−1−52−1+52-2-2-222-21+521−521+521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−2i2i−2i2i−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+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−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ372-22-222−1+52−1−52-2-2-222-21−521+521−521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+522i−2i2i−2i2i−2i−1+52−1−521−52−1+521−521+52−1−521+52000000000−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+ζ59−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+ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ382-22-222−1+52−1−52-2-2-222-21−521+521−521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+522i−2i2i−2i2i−2i−1+52−1−521−52−1+521−521+52−1−521+52000000000−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−ζ59−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+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
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χ864-44-4-24−1+5−1−5-42-4-2421−51+51−51+5−1+5−1−5-222-21−52−1+51+52−1−51−52−1+52−1+51−51+52−1−52−1−51+5−1+521−5−1−521+5−4i4i2i−2i2i−2i1−521+52−1+521−52−1+52−1−521+52−1−520000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−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+ζ5900000000000000000000000000000
χ874-44-4-2-244222-2-22-4-4-4-4441-1-11-2-2-2-2-22-22-22-22222200000011-11-1-11-100−2i32i3−2i32i300000000000000000000000000000i3−i3i3−i3000000000000000
χ884-44-4-2-244222-2-22-4-4-4-4441-1-11-2-2-2-2-22-22-22-22222200000011-11-1-11-1002i3−2i32i3−2i300000000000000000000000000000−i3i3−i3i3000000000000000
χ894-4-4444−1−5−1+54-4-4-4-44−1−5−1+51+51−51+51−54-44-4−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−5000000−1−5−1+51+51+5−1−51−51−5−1+5000000000000000000000000000000000000000000000000000000
χ904-4-4444−1+5−1−54-4-4-4-44−1+5−1−51−51+51−51+54-44-4−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+5000000−1+5−1−51−51−5−1+51+51+5−1−5000000000000000000000000000000000000000000000000000000
χ914-4-444-2−1−5−1+5-2-42-424−1−5−1+51+51−51+51−5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+520000001+521−52−1−52−1−521+52−1+52−1+521−52000000023−230000000000000000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000
χ924-4-444-2−1−5−1+5-2-42-424−1−5−1+51+51−51+51−5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+520000001+521−52−1−52−1−521+52−1+52−1+521−520000000−23230000000000000000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000
χ934-4-444-2−1+5−1−5-2-42-424−1+5−1−51−51+51−51+5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−520000001−521+52−1+52−1+521−52−1−52−1−521+52000000023−230000000000000000ζ7−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
χ944-4-444-2−1+5−1−5-2-42-424−1+5−1−51−51+51−51+5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−520000001−521+52−1+52−1+521−52−1−52−1−521+520000000−23230000000000000000−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
χ954-4-44-24−1−5−1+542-42-4-2−1−5−1+51+51−51+51−5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−50023−23−23231+521−52−1−52−1−521+52−1+52−1+521−5200000000000000000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000
χ964-4-44-24−1−5−1+542-42-4-2−1−5−1+51+51−51+51−5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−500−232323−231+521−52−1−52−1−521+52−1+52−1+521−5200000000000000000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000
χ974-4-44-24−1+5−1−542-42-4-2−1+5−1−51−51+51−51+5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+50023−23−23231−521+52−1+52−1+521−52−1−52−1−521+5200000000000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000
χ984-4-44-24−1+5−1−542-42-4-2−1+5−1−51−51+51−51+5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+500−232323−231−521+52−1+52−1+521−52−1−52−1−521+5200000000000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000
χ994-4-44-2-244-22222-244-4-4-4-41-11-1-2-2-2-22-22-22-22-2222200000011-1-11-1-114i−4i−2i2i2i−2i000000000000000000000000000−2i2ii−i−ii000000000000000
χ1004-4-44-2-244-22222-244-4-4-4-41-11-1-2-2-2-22-22-22-22-2222200000011-1-11-1-11−4i4i2i−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+254-4-44442+252−25−2−25−2+252+252−2522-2-21+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−254-4-44442−252+25−2+25−2−252−252+2522-2-21−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+25444-4-442+252−252+252−25−2−25−2+252-2-221+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1−5−1+5−1+5000000−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−25444-4-442−252+252−252+25−2+25−2−252-2-221−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+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+25-44444-4−2−25−2+252+252−252+252−252-22-21+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−25-44444-4−2+25−2−252−252+252−252+252-22-21−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+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.