Finite Group Databasebeta

← Group #13087724

Character table — Group #13087724

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444418183030303036363636363636363660606060606060606060
order12223355666666101010101010346661212121212121212151515151515151520202020303030303030303030303030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606022222241010101020202020246666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ5111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-11-1-111-1-111
χ8111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-111-1-111-1-1
χ9222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222222222222−1−52−1−52−1−52−1−52−1+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+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+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+522200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ10222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222222222222−1−52−1−52−1−52−1−52−1+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+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+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+52-2-20000-21+521+521−521−521+521+521−521−520000000000
χ11222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522-2222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52220000-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ12222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522-2222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-2000021+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ13222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ14222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-20000-21−521−521+521+521−521−521+521+520000000000
χ15222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522-2222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52220000-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ16222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522-2222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52-2-2000021−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ1722222-1222-1-12-12222222-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000000002000-1-1-1-100
χ1822222-1222-1-12-12222222-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-2000111100
χ1922222-1222-1-12-12222222-1-2-1-1-1-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200000000000-2000-1-11100
χ2022222-1222-1-12-12222222-1-2-1-1-1-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-200000000000200011-1-100
χ212222-1222-122-12-1222222-12-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000002-1-10000-1-1
χ222222-1222-122-12-1222222-12-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-20000000000-211000011
χ232222-1222-122-12-1222222-1-2-1-1-111-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000220000000000-2-1-1000011
χ242222-1222-122-12-1222222-1-2-1-1-111-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-200000000002110000-1-1
χ2522-2-22222-2-2-222-2-2-222-2-220-2-2200000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000002-20000000000000002-20000
χ2622-2-22222-2-2-222-2-2-222-2-220-2-2200000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000-22000000000000000-220000
χ2722-2-22-122-2112-1-2-2-222-2-2-1011-100−i3i3−i3−i3i3i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002-2000000000000000-11−i3i300
χ2822-2-22-122-2112-1-2-2-222-2-2-1011-100−i3i3−i3−i3i3i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300-220000000000000001-1i3−i300
χ2922-2-22-122-2112-1-2-2-222-2-2-1011-100i3−i3i3i3−i3−i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002-2000000000000000-11i3−i300
χ3022-2-22-122-2112-1-2-2-222-2-2-1011-100i3−i3i3i3−i3−i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300-220000000000000001-1−i3i300
χ312-22-2222222-2-2-2-2-2-2-2-222202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2000000000002-2000000
χ322-22-2222222-2-2-2-2-2-2-2-222202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2200000000000-22000000
χ332-22-2-1222-12-21-21-2-2-2-222-10-1113−3003−33−3-12-1-1-12-1-10000-112-2-1-111-112-2-1-1111-2111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−300002-200000000000-1100003−3
χ342-22-2-1222-12-21-21-2-2-2-222-10-1113−3003−33−3-12-1-1-12-1-10000-112-2-1-111-112-2-1-1111-2111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−30000-22000000000001-10000−33
χ352-22-2-1222-12-21-21-2-2-2-222-10-111−3300−33−33-12-1-1-12-1-10000-112-2-1-111-112-2-1-1111-2111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−33300002-200000000000-110000−33
χ362-22-2-1222-12-21-21-2-2-2-222-10-111−3300−33−33-12-1-1-12-1-10000-112-2-1-111-112-2-1-1111-2111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−3330000-22000000000001-100003−3
χ372-2-222222-2-22-2-2222-2-2-2-220-22-200000000222222220000-22-22-2-222-22-22-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000002-2000002-22-200000000000000
χ382-2-222222-2-22-2-2222-2-2-2-220-22-200000000222222220000-22-22-2-222-22-22-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000-2200000-22-2200000000000000
χ392-2-2222−1−52−1+52-2-22-2-22−1−52−1+521+521−521+521−5220-22-200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521+52−1−521+521+52−1−52−1−521−52−1+521−52−1+521−521−52−1+52−1+521+521+521+521+521−521−521−521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−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−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-200000−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000
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χ1224-4-44-2-2−1−5−1+522-222-2−1−5−1+51+51−51+51−510-11-10000−3i3i3i−3i1+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ470000000000000000000000000
χ1234-4-44-2-2−1+5−1−522-222-2−1+5−1−51−51+51−51+510-11-100003i−3i−3i3i1−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47ζ7+2ζ23+2ζ43+ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ472ζ7+ζ23+ζ43+2ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ590000000000000000000000000
χ1244-4-44-2-2−1+5−1−522-222-2−1+5−1−51−51+51−51+510-11-100003i−3i−3i3i1−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ462ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ592ζ11+ζ19+2ζ31+ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59ζ11+2ζ19+ζ31+2ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ590000000000000000000000000
χ1254-4-44-2-2−1+5−1−522-222-2−1+5−1−51−51+51−51+510-11-10000−3i3i3i−3i1−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ472ζ7+ζ23+ζ43+2ζ47ζ7+2ζ23+2ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11+ζ19+2ζ31+ζ59ζ11+2ζ19+ζ31+2ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ592ζ11+ζ19+2ζ31+ζ59ζ11+2ζ19+ζ31+2ζ590000000000000000000000000
χ1264-4-44-2-2−1+5−1−522-222-2−1+5−1−51−51+51−51+510-11-10000−3i3i3i−3i1−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7+2ζ23+2ζ43+ζ472ζ7+ζ23+ζ43+2ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47−2ζ7−ζ23−ζ43−2ζ47−ζ7−2ζ23−2ζ43−ζ47ζ7+2ζ23+2ζ43+ζ472ζ7+ζ23+ζ43+2ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59−2ζ11−ζ19−2ζ31−ζ59−ζ11−2ζ19−ζ31−2ζ59ζ11+2ζ19+ζ31+2ζ592ζ11+ζ19+2ζ31+ζ590000000000000000000000000

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