Finite Group Databasebeta

← Group #13087720

Character table — Group #13087720

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444418183030303036363636363636363660606060606060606060
order12223355666666101010101010346661212121212121212151515151515151520202020303030303030303030303030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606044444442020202020202020441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-111
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
χ7111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1111-1-1-1-111
χ8111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-11111-1-1
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
χ1722222-1222-12-12-1222222-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000000000200-1-100-1-1
χ1822222-1222-12-12-1222222-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000000000-200110011
χ1922222-1222-12-12-1222222-1-2-1-1-1-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000220000000000-200-1-10011
χ2022222-1222-12-12-1222222-1-2-1-1-1-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-200000000002001100-1-1
χ212222-1222-12-12-12222222-12-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220000000000020-1-100-1-100
χ222222-1222-12-12-12222222-12-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200000000000-2011001100
χ232222-1222-12-12-12222222-1-2-1-1-111-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111002200000000000-20-1-1001100
χ242222-1222-12-12-12222222-1-2-1-1-111-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100-2-200000000000201100-1-100
χ2522-2-222222-2-22-2-22-22-2-2-2202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-200000000000002-20000
χ2622-2-222222-2-22-2-22-22-2-2-2202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-220000000000000-220000
χ2722-2-22-12221-2-1-212-22-2-2-2-10-111003−333−3−32-1-1-12-1-1-100002-2-11-1-1112-2-11-1-111-2111-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300002-20000000000000-11003−3
χ2822-2-22-12221-2-1-212-22-2-2-2-10-111003−333−3−32-1-1-12-1-1-100002-2-11-1-1112-2-11-1-111-2111-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−30000-2200000000000001-100−33
χ2922-2-22-12221-2-1-212-22-2-2-2-10-11100−33−3−3332-1-1-12-1-1-100002-2-11-1-1112-2-11-1-111-2111-21110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300002-20000000000000-1100−33
χ3022-2-22-12221-2-1-212-22-2-2-2-10-11100−33−3−3332-1-1-12-1-1-100002-2-11-1-1112-2-11-1-111-2111-21110000−3−333−3−3−3−333330000−3−333−3−3−3−333330000-2200000000000001-1003−3
χ312-22-22222-222-2-2-2-22-22-2-220-22-200000000222222220000-22-22-2-222-22-22-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000002-200000000000002-2000000
χ322-22-22222-222-2-2-2-22-22-2-220-22-200000000222222220000-22-22-2-222-22-22-2-222-2-2-2-2-2-2-2-20000000000000000000000000000000000-220000000000000-22000000
χ332-22-2-122212-1-21-2-22-22-2-2-101-113−3003−33−3-12-1-1-12-1-100001-1-2211-1-11-1-2211-1-11-2111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−3002-20000000000000-11003−300
χ342-22-2-122212-1-21-2-22-22-2-2-101-113−3003−33−3-12-1-1-12-1-100001-1-2211-1-11-1-2211-1-11-2111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−300-2200000000000001-100−3300
χ352-22-2-122212-1-21-2-22-22-2-2-101-11−3300−33−33-12-1-1-12-1-100001-1-2211-1-11-1-2211-1-11-2111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−333002-20000000000000-1100−3300
χ362-22-2-122212-1-21-2-22-22-2-2-101-11−3300−33−33-12-1-1-12-1-100001-1-2211-1-11-1-2211-1-11-2111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−33300-2200000000000001-1003−300
χ372-2-222222-2-2-2-222-2-2-2-22220-2-2200000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-2000002-22-200000000000000
χ382-2-222222-2-2-2-222-2-2-2-22220-2-2200000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2200000-22-2200000000000000
χ392-2-2222−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+5220-2-2200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−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+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582-200000−1−521+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000
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χ1214-4-44-2-2−1−5−1+52222-2-21+51+51−51−5−1−5−1+510-1-110000-333-31+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ580000000000000000000000000
χ1224-4-44-2-2−1−5−1+52222-2-21+51+51−51−5−1−5−1+510-1-110000-333-31+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ580000000000000000000000000
χ1234-4-44-2-2−1+5−1−52222-2-21−51−51+51+5−1+5−1−510-1-1100003-3-331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ460000000000000000000000000
χ1244-4-44-2-2−1+5−1−52222-2-21−51−51+51+5−1+5−1−510-1-1100003-3-331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ460000000000000000000000000
χ1254-4-44-2-2−1+5−1−52222-2-21−51−51+51+5−1+5−1−510-1-110000-333-31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ460000000000000000000000000
χ1264-4-44-2-2−1+5−1−52222-2-21−51−51+51+5−1+5−1−510-1-110000-333-31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ460000000000000000000000000

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