Finite Group Databasebeta

← Group #11749493

Character table — Group #11749493

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222222224444444444444444444444444444444444444444444444121212121212121212121212121212121212121220202020202020202020202060606060
order122222223556666666101010101010101010101010101022666610101010101010101515303030303030303030303030303030303030303030303030303030303030224410101010101010102020202020202020444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+520000000000000000
χ10222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000
χ11222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000
χ12222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ13222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ14222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000
χ15222222222−1+52−1−522222222−1+52−1+52−1+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+52−1+52−1−52−1+52−1+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+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000000000
χ16222222222−1+52−1−522222222−1+52−1+52−1+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+52−1+52−1−52−1+52−1+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+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ1722222222-122-1-1-1-1-1-1-12222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-122-1-1-1-1-1-1-12222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111110000
χ1922222222-122-1-1-1-1-1-1-122222222222222-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000022-2-2-1-1-1-111110000
χ2022222222-122-1-1-1-1-1-1-122222222222222-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2221111-1-1-1-10000
χ21222-22-2-2-222222-2-2-22-2222-2-2-2222-2-2-2-2-20000000000000022222-2-2-2-2222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i
χ22222-22-2-2-222222-2-2-22-2222-2-2-2222-2-2-2-2-20000000000000022222-2-2-2-2222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i
χ2322-22-22-2-22222-22-2-2-222-2-222-22-2-222-2-2-200000000000000222-2-222-2-22-2-222-2-20000000000000000000000000000000000000000000000002i−2i00
χ2422-22-22-2-22222-22-2-2-222-2-222-22-2-222-2-2-200000000000000222-2-222-2-22-2-222-2-2000000000000000000000000000000000000000000000000−2i2i00
χ2522-2-2-2-2222222-2-222-2-22-2-2-2-222-2-2-2-22222-222-2-222-2-222-2-2222-2-2-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2622-2-2-2-2222222-2-222-2-22-2-2-2-222-2-2-2-2222-22-2-222-2-222-2-222222-2-2-2-2222-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2722-2-2-2-2222−1−52−1+522-2-222-2-2−1−521+521+521+521+52−1−52−1+521−521−521−521−52−1+52−1−52−1+522-222-2-2−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−521+521+521+521+52−1−52−1−52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ580000000000000000
χ2822-2-2-2-2222−1−52−1+522-2-222-2-2−1−521+521+521+521+52−1−52−1+521−521−521−521−52−1+52−1−52−1+522-222-2-2−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−521+521+521+521+52−1−52−1−52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ580000000000000000
χ2922-2-2-2-2222−1−52−1+522-2-222-2-2−1−521+521+521+521+52−1−52−1+521−521−521−521−52−1+52−1−52−1+52-22-2-2221+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52−1−521+521+521+521+52−1−52−1−52−1+521−521−521−521−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+520000−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ580000000000000000
χ3022-2-2-2-2222−1−52−1+522-2-222-2-2−1−521+521+521+521+52−1−52−1+521−521−521−521−52−1+52−1−52−1+52-22-2-2221+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52−1−521+521+521+521+52−1−52−1−52−1+521−521−521−521−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+520000ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ580000000000000000
χ3122-2-2-2-2222−1+52−1−522-2-222-2-2−1+521−521−521−521−52−1+52−1−521+521+521+521+52−1−52−1+52−1−522-222-2-2−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52−1+521−521−521−521−52−1+52−1+52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
χ3222-2-2-2-2222−1+52−1−522-2-222-2-2−1+521−521−521−521−52−1+52−1−521+521+521+521+52−1−52−1+52−1−522-222-2-2−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52−1+521−521−521−521−52−1+52−1+52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ460000000000000000
χ3322-2-2-2-2222−1+52−1−522-2-222-2-2−1+521−521−521−521−52−1+52−1−521+521+521+521+52−1−52−1+52−1−52-22-2-2221−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52−1+521−521−521−521−52−1+52−1+52−1−521+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ460000000000000000
χ3422-2-2-2-2222−1+52−1−522-2-222-2-2−1+521−521−521−521−52−1+52−1−521+521+521+521+52−1−52−1+52−1−52-22-2-2221−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52−1+521−521−521−521−52−1+52−1+52−1−521+521+521+521+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
χ3522-2-2-2-222-122-111-1-1112-2-2-2-222-2-2-2-22222-2-1-11122-2-222-2-2-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000000033−3−333−3−30000
χ3622-2-2-2-222-122-111-1-1112-2-2-2-222-2-2-2-22222-2-1-11122-2-222-2-2-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000−3−333−3−3330000
χ3722-2-2-2-222-122-111-1-1112-2-2-2-222-2-2-2-2222-2211-1-1-2-222-2-222-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000000033−3−3−3−3330000
χ3822-2-2-2-222-122-111-1-1112-2-2-2-222-2-2-2-2222-2211-1-1-2-222-2-222-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000−3−33333−3−30000
χ392-222-2-22-2222-2222-2-2-2-22-22-22-22-22-22-2-20000000000000022-22-22-22-2-22-22-22-2000000000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ402-222-2-22-2222-2222-2-2-2-22-22-22-22-22-22-2-20000000000000022-22-22-22-2-22-22-22-200000000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ412-222-2-22-2-1221-1-1-1111-22-22-22-22-22-22-2-200−i3i3−i3i300000000-1-11-11-11-111-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000002i−2i3−33−3−ii−ii0000
χ422-222-2-22-2-1221-1-1-1111-22-22-22-22-22-22-2-200−i3i3−i3i300000000-1-11-11-11-111-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000000000−2i2i−33−33i−ii−i0000
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χ964-444-4-44-4-2−1−5−1+52-2-2-22221+5−1−51+5−1−51+5−1−51−5−1+51−5−1+51−5−1+51+51−5002i3−2i32i3−2i3000000001+521−52−1−521+52−1−521+52−1−521+52−1−52−1+521−52−1+521−52−1+521−52−1+52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000
χ974-444-4-44-4-2−1+5−1−52-2-2-22221−5−1+51−5−1+51−5−1+51+5−1−51+5−1−51+5−1−51−51+500−2i32i3−2i32i3000000001−521+52−1+521−52−1+521−52−1+521−52−1+52−1−521+52−1−521+52−1−521+52−1−52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000
χ984-444-4-44-4-2−1+5−1−52-2-2-22221−5−1+51−5−1+51−5−1+51+5−1−51+5−1−51+5−1−51−51+5002i3−2i32i3−2i3000000001−521+52−1+521−52−1+521−52−1+521−52−1+52−1−521+52−1−521+52−1−521+52−1−52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000
χ994-44-4-44-44-2442-222-22-2-44-4-44-4-44-4-44-44400000000000000-2-22-222-22-22-222-22-20000000000000000000000000000000000000000000000000000
χ1004-44-4-44-44-2−1−5−1+52-222-22-21+5−1−51+51+5−1−51+51−5−1+51−51−5−1+51−5−1−5−1+5000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521−52−1−521+52−1−52−1−521+52−1−521+52−1+521−52−1+52−1+521−52−1+521−52ζ14−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−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−ζ58000000000000000000000000000000000000
χ1014-44-4-44-44-2−1−5−1+52-222-22-21+5−1−51+51+5−1−51+51−5−1+51−51−5−1+51−5−1−5−1+50000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−52−1−521+52−1−52−1−521+52−1−521+52−1+521−52−1+52−1+521−52−1+521−52−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−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+ζ58000000000000000000000000000000000000
χ1024-44-4-44-44-2−1+5−1−52-222-22-21−5−1+51−51−5−1+51−51+5−1−51+51+5−1−51+5−1+5−1−50000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+52−1+521−52−1+52−1+521−52−1+521−52−1−521+52−1−52−1−521+52−1−521+52−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−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−ζ46000000000000000000000000000000000000
χ1034-44-4-44-44-2−1+5−1−52-222-22-21−5−1+51−51−5−1+51−51+5−1−51+51+5−1−51+5−1+5−1−5000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+52−1+521−52−1+52−1+521−52−1+521−52−1−521+52−1−52−1−521+52−1−521+52ζ2+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+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+ζ46000000000000000000000000000000000000
χ1044-4-444-4-44-24422-22-2-22-4-444-4-4-4-444-4-44400000000000000-2-222-2-222-222-2-222-20000000000000000000000000000000000000000000000000000
χ1054-4-444-4-44-2−1−5−1+522-22-2-221+51+5−1−5−1−51+51+51−51−5−1+5−1+51−51−5−1−5−1+5000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000000000000000
χ1064-4-444-4-44-2−1−5−1+522-22-2-221+51+5−1−5−1−51+51+51−51−5−1+5−1+51−51−5−1−5−1+50000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521−52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−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+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000000000000000
χ1074-4-444-4-44-2−1+5−1−522-22-2-221−51−5−1+5−1+51−51−51+51+5−1−5−1−51+51+5−1+5−1−50000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+52−1+52−1+521−521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+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−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000000000000000000000000
χ1084-4-444-4-44-2−1+5−1−522-22-2-221−51−5−1+5−1+51−51−51+51+5−1−5−1−51+51+5−1+5−1−5000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+52−1+52−1+521−521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−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−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000000000000000000000000
χ1094-4-4-4444-44−1−5−1+5-4-4-44-4441+51+5−1−51+5−1−5−1−51−51−5−1+51−5−1+5−1+51+51−500000000000000−1−5−1+51+51+5−1−51+5−1−5−1−51+51−51−5−1+51−5−1+5−1+51−50000000000000000000000000000000000000000000000000000
χ1104-4-4-4444-44−1+5−1−5-4-4-44-4441−51−5−1+51−5−1+5−1+51+51+5−1−51+5−1−5−1−51−51+500000000000000−1+5−1−51−51−5−1+51−5−1+5−1+51−51+51+5−1−51+5−1−5−1−51+50000000000000000000000000000000000000000000000000000
χ1114-4-4-4444-4-2−1−5−1+5222-22-2-21+51+5−1−51+5−1−5−1−51−51−5−1+51−5−1+5−1+51+51−500−2i32i32i3−2i3000000001+521−52−1−52−1−521+52−1−521+521+52−1−52−1+52−1+521−52−1+521−521−52−1+52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000
χ1124-4-4-4444-4-2−1−5−1+5222-22-2-21+51+5−1−51+5−1−5−1−51−51−5−1+51−5−1+5−1+51+51−5002i3−2i3−2i32i3000000001+521−52−1−52−1−521+52−1−521+521+52−1−52−1+52−1+521−52−1+521−521−52−1+52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000
χ1134-4-4-4444-4-2−1+5−1−5222-22-2-21−51−5−1+51−5−1+5−1+51+51+5−1−51+5−1−5−1−51−51+500−2i32i32i3−2i3000000001−521+52−1+52−1+521−52−1+521−521−52−1+52−1−52−1−521+52−1−521+521+52−1−52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000
χ1144-4-4-4444-4-2−1+5−1−5222-22-2-21−51−5−1+51−5−1+5−1+51+51+5−1−51+5−1−5−1−51−51+5002i3−2i3−2i32i3000000001−521+52−1+52−1+521−52−1+521−521−52−1+52−1−52−1−521+52−1−521+521+52−1−52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000

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