Finite Group Databasebeta

← Group #13086130

Character table — Group #13086130

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444444888888881212121212121212121212121212121212121212121212121212121212121818202020202020202020303030303636363660606060180
order1222335566666610101010101036661515151530303030303030303030303015153030303030302266661010101010101010303030303030303030303030303030304441212121212121212444420202020121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111111111111111111111111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111111-1-111-1-1-1-1-1-111-1
χ6111111111111111111111111111111111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1
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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220000000000000−1−52−1−52−1+52−1+5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-222-2-2−1−52−1−52−1+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+521−521−521−521−52-2-200000000000001+521+521−521−5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2221+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+52-2-200000000000001+521+521−521−5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52220000000000000−1−52−1−52−1+52−1+5200000
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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220000000000000−1+52−1+52−1−52−1−5200000
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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-222-2-2−1+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+52-2-200000000000001−521−521+521+5200000
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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2221−521−521+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+52−1−52−1−52−1−52−1−52-2-200000000000001−521−521+521+5200000
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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52220000000000000−1+52−1+52−1−52−1−5200000
χ1722222-1222-12-12-1222222-1-1-1-12-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-10200-1-10000222200000000-1-1-1-1-1-1-1-100222-1-1-1-1-1-10022000000-1-10
χ1822222-1222-12-12-1222222-1-1-1-12-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-10200-1-10000222200000000-1-1-1-1-1-1-1-100-2-2-211111100-2-2000000110
χ1922222-1222-12-12-1222222-1-1-1-12-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-10-200110000-2-2-2-2000000001111111100222-1-1-1-1-1-100-2-2000000110
χ2022222-1222-12-12-1222222-1-1-1-12-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-10-200110000-2-2-2-2000000001111111100-2-2-21111110022000000-1-10
χ212222-1222-12-12-12222222-1-1-1-1-12-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-120-1-10022220000-1-1-1-1-1-1-1-100000000002-1-122-1-1-1-122000000-1-1000
χ222222-1222-12-12-12222222-1-1-1-1-12-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-120-1-10022220000-1-1-1-1-1-1-1-10000000000-211-2-21111-2-200000011000
χ232222-1222-12-12-12222222-1-1-1-1-12-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-201100-2-2-2-200001111111100000000002-1-122-1-1-1-1-2-200000011000
χ242222-1222-12-12-12222222-1-1-1-1-12-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-201100-2-2-2-20000111111110000000000-211-2-2111122000000-1-1000
χ2522-2-222222-2-2-2-222-22-2-2-222-2-222222-2-22-2-22-2-22-2-2222-2-22-2-2000000000000000000000000000000000000000002i−2i0000002i−2i000
χ2622-2-222222-2-2-2-222-22-2-2-222-2-222222-2-22-2-22-2-22-2-2222-2-22-2-200000000000000000000000000000000000000000−2i2i000000−2i2i000
χ2722-2-2-1222-1-21-2122-22-2-2-2-1-111-12-12-1112-2-2-1112-2-2-1-1-111-11100−i3i30000000000−i3−i3i3i3−i3−i3i3i3000000000003−30033−3−32i−2i000000−ii000
χ2822-2-2-1222-1-21-2122-22-2-2-2-1-111-12-12-1112-2-2-1112-2-2-1-1-111-11100−i3i30000000000−i3−i3i3i3−i3−i3i3i300000000000−3300−3−333−2i2i000000i−i000
χ2922-2-2-1222-1-21-2122-22-2-2-2-1-111-12-12-1112-2-2-1112-2-2-1-1-111-11100i3−i30000000000i3i3−i3−i3i3i3−i3−i3000000000003−30033−3−3−2i2i000000i−i000
χ3022-2-2-1222-1-21-2122-22-2-2-2-1-111-12-12-1112-2-2-1112-2-2-1-1-111-11100i3−i30000000000i3i3−i3−i3i3i3−i3−i300000000000−3300−3−3332i−2i000000−ii000
χ312-22-22222-22-2-22-2-22-22-2-22-22-22222-22-2-22-2-22-2-22-222-22-2-22-200000000000000000000000000000000000000000002i−2i0000002i−2i0
χ322-22-22222-22-2-22-2-22-22-2-22-22-22222-22-2-22-2-22-2-22-222-22-2-22-20000000000000000000000000000000000000000000−2i2i000000−2i2i0
χ332-22-22-122-2-1-2121-22-22-2-2-11-112-12-1-22-21-11-22-21-11-1-11-111-110000−i3i30000000000000000−i3−i3i3i3−i3−i3i3i3000003−33−33−3002i−2i000000−ii0
χ342-22-22-122-2-1-2121-22-22-2-2-11-112-12-1-22-21-11-22-21-11-1-11-111-110000−i3i30000000000000000−i3−i3i3i3−i3−i3i3i300000−33−33−3300−2i2i000000i−i0
χ352-22-22-122-2-1-2121-22-22-2-2-11-112-12-1-22-21-11-22-21-11-1-11-111-110000i3−i30000000000000000i3i3−i3−i3i3i3−i3−i3000003−33−33−300−2i2i000000i−i0
χ362-22-22-122-2-1-2121-22-22-2-2-11-112-12-1-22-21-11-22-21-11-1-11-111-110000i3−i30000000000000000i3i3−i3−i3i3i3−i3−i300000−33−33−33002i−2i000000−ii0
χ372-2-222222-2-222-2-2-2-2-2-2222-2-222222-2-22-2-22-2-22-2-2222-2-22-2-220000000000000000000000000000002-200000000000002-22-200000
χ382-2-222222-2-222-2-2-2-2-2-2222-2-222222-2-22-2-22-2-22-2-2222-2-22-2-22000000000000000000000000000000-220000000000000-22-2200000
χ392-2-2222−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+52−1−521+521+52−1−521−521−52−1+521−521−52−1+52−1−52−1+521+521+52−1−521−521−52−1+52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−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−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+ζ582-20000000000000−1−521+52−1+521−5200000
χ402-2-2222−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+52−1−521+521+52−1−521−521−52−1+521−521−52−1+52−1−52−1+521+521+52−1−521−521−52−1+52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−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+ζ58ζ14−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−ζ58-2200000000000001+52−1−521−52−1+5200000
χ412-2-2222−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+52−1−521+521+52−1−521−521−52−1+521−521−52−1+52−1−52−1+521+521+52−1−521−521−52−1+52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−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−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+ζ58-2200000000000001+52−1−521−52−1+5200000
χ422-2-2222−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+52−1−521+521+52−1−521−521−52−1+521−521−52−1+52−1−52−1+521+521+52−1−521−521−52−1+52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−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−ζ58ζ14−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−ζ582-20000000000000−1−521+52−1+521−5200000
χ432-2-2222−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−52−1+521−521−52−1+521+521+52−1−521+521+52−1−52−1+52−1−521−521−52−1+521+521+52−1−52000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+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+ζ46ζ2+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+ζ462-20000000000000−1+521−52−1−521+5200000
χ442-2-2222−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−52−1+521−521−52−1+521+521+52−1−521+521+52−1−52−1+52−1−521−521−52−1+521+521+52−1−52000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+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−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−ζ46-2200000000000001−52−1+521+52−1−5200000
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χ904-4-44-24−1−5−1+52-4-242-41+51+51−51−5−1−5−1+5-222-21+52−1−51−52−1+5−1−52−1−521+521+51+5−1−5−1+52−1+521−521−51−5−1+51+521−52−1−52−1−521+52−1+52−1+521−520000002ζ14−2ζ26+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+ζ5800000000000000000000000000000000
χ914-4-44-24−1+5−1−52-4-242-41−51−51+51+5−1+5−1−5-222-21−52−1+51+52−1−5−1+52−1+521−521−51−5−1+5−1−52−1−521+521+51+5−1−51−521+52−1+52−1+521−52−1−52−1−521+520000002ζ2+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−ζ4600000000000000000000000000000000
χ924-4-44-24−1+5−1−52-4-242-41−51−51+51+5−1+5−1−5-222-21−52−1+51+52−1−5−1+52−1+521−521−51−5−1+5−1−52−1−521+521+51+5−1−51−521+52−1+52−1+521−52−1−52−1−521+52000000−2ζ2−2ζ22+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+ζ4600000000000000000000000000000000
χ934-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-222-222-222-222-211-1-11-1-1100000000000000000000000000000000000003-3-330000000000000
χ944-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-222-222-222-222-211-1-11-1-110000000000000000000000000000000000000-333-30000000000000
χ958888-4-4−2−25−2+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+51−51−51−51−51−51−5−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
χ968888-4-4−2+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+5−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4−2−25−2+25-44444-4−2−252+25−2+252−252+252−2522-2-21+51+51−51−51+5−1−5−1−51+5−1−5−1−51−5−1+5−1+51−5−1+5−1+5−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4−2+25−2−25-44444-4−2+252−25−2−252+252−252+2522-2-21−51−51+51+51−5−1+5−1+51−5−1+5−1+51+5−1−5−1−51+5−1−5−1−5−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−2−25−2+254-444-442+25−2−252−25−2+252+252−252-22-21+51+51−51−5−1−51+5−1−5−1−51+5−1−5−1+51−5−1+5−1+51−5−1+5−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4−2+25−2−254-444-442−25−2+252+25−2−252−252+252-22-21−51−51+51+5−1+51−5−1+5−1+51−5−1+5−1−51+5−1−5−1−51+5−1−5−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4−2−25−2+2544-4-4442+252+252−252−25−2−25−2+252-2-221+51+51−51−5−1−5−1−51+5−1−5−1−51+5−1+5−1+51−5−1+5−1+51−5−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−2+25−2−2544-4-4442−252−252+252+25−2+25−2−252-2-221−51−51+51+5−1+5−1+51−5−1+5−1+51−5−1−5−1−51+5−1−5−1−51+5−1+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.