Finite Group Databasebeta

← Group #13013802

Character table — Group #13013802

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222224444444444444444444444444444444444444444444444444444444444444444444444444444202020204040404040408080808080808080
order1244248888245881010101010101016161616161616162020202020202020404040404040404040404040404040408080808080808080808080808080808080808080808080808080808080808080888844161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-1-1-111111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1ii−i−i1-1i−i1-1i−i
χ10111111-1-1-1-1-1-111111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1ii−i−i-11−ii-11−ii
χ11111111-1-1-1-1-1-111111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-11−i−iiii−i-11−ii1-1
χ12111111-1-1-1-1-1-111111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-11−i−iii−ii1-1i−i-11
χ13111111-1-1-1-1-1-111111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11-1−i−iii1-1−ii1-1−ii
χ14111111-1-1-1-1-1-111111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11-1−i−iii-11i−i-11i−i
χ15111111-1-1-1-1-1-111111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-11ii−i−ii−i1-1−ii-11
χ16111111-1-1-1-1-1-111111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-11ii−i−i−ii-11i−i1-1
χ172222222222-2-22-2-222-2-2-2-220000000022-2-2-2-222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000022-2-2-22000000000000
χ182222222222-2-22-2-222-2-2-2-220000000022-2-2-2-222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2222-2000000000000
χ19222222-2-2-2-2222-2-222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2000000000000
χ20222222-2-2-2-2222-2-222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222000000000000
χ2122-2-22-200002-2200222222222−2−222−2−2-2-2-2-2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22i−2i2i−2i00i2−i2i2−i200000000
χ2222-2-22-200002-2200222222222−2−222−2−2-2-2-2-2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2−2i2i−2i2i00−i2i2−i2i200000000
χ2322-2-22-200002-22002222222−2−222−2−222-2-2-2-2-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222222222i−2i2i−2i00−i2i2−i2i200000000
χ2422-2-22-200002-22002222222−2−222−2−222-2-2-2-2-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2i2i−2i2i00i2−i2i2−i200000000
χ2522-2-22-20000-2220022-2-2-2-22i2i2−i2−i2−i2−i2i2i2-2-22222-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i22i−2i−2i2i00−222−200000000
χ2622-2-22-20000-2220022-2-2-2-22i2i2−i2−i2−i2−i2i2i2-2-22222-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−2i2i2i−2i002−2−2200000000
χ2722-2-22-20000-2220022-2-2-2-22−i2−i2i2i2i2i2−i2−i2-2-22222-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i22i−2i−2i2i002−2−2200000000
χ2822-2-22-20000-2220022-2-2-2-22−i2−i2i2i2i2i2−i2−i2-2-22222-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−2i2i2i−2i00−222−200000000
χ29444444444444-144-1-1-1-1-1-1-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ30444444444444-144-1-1-1-1-1-1-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000000
χ314444444444-4-4-1-4-4-1-11111-100000000-1-11111-1-111111111-1-1-1-1-1-1-1-15555−5−5−5−55555−5−5−5−55555−5−5−5−55555−5−5−5−5000000000000000000
χ324444444444-4-4-1-4-4-1-11111-100000000-1-11111-1-111111111-1-1-1-1-1-1-1-1−5−5−5−55555−5−5−5−55555−5−5−5−55555−5−5−5−55555000000000000000000
χ33444444-4-4-4-444-1-4-4-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111111111111111i5i5i5i5−i5−i5−i5−i5i5i5i5i5−i5−i5−i5−i5−i5−i5−i5−i5i5i5i5i5−i5−i5−i5−i5i5i5i5i5000000000000000000
χ34444444-4-4-4-444-1-4-4-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111111111111111−i5−i5−i5−i5i5i5i5i5−i5−i5−i5−i5i5i5i5i5i5i5i5i5−i5−i5−i5−i5i5i5i5i5−i5−i5−i5−i5000000000000000000
χ35444444-4-4-4-4-4-4-144-1-11111-14i4i4i4i−4i−4i−4i−4i-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii000000000000000000
χ36444444-4-4-4-4-4-4-144-1-11111-1−4i−4i−4i−4i4i4i4i4i-1-11111-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000
χ374444-4-400000044i−4i-4-40000400000000440000-4-44i4i4i4i−4i−4i−4i−4i0000000000000000000000000000000000000000000000000000000000
χ384444-4-40000004−4i4i-4-40000400000000440000-4-4−4i−4i−4i−4i4i4i4i4i0000000000000000000000000000000000000000000000000000000000
χ394444-4-4000000-14i−4i1155−5−5-100000000-1-155−5−511−i−i−i−iiiiii5i5−i5−i5i5i5−i5−i5ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58000000000000000000
χ404444-4-4000000-14i−4i1155−5−5-100000000-1-155−5−511−i−i−i−iiiiii5i5−i5−i5i5i5−i5−i5−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58000000000000000000
χ414444-4-4000000-14i−4i11−5−555-100000000-1-1−5−55511−i−i−i−iiiii−i5−i5i5i5−i5−i5i5i5−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78000000000000000000
χ424444-4-4000000-14i−4i11−5−555-100000000-1-1−5−55511−i−i−i−iiiii−i5−i5i5i5−i5−i5i5i5ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78000000000000000000
χ434444-4-4000000-1−4i4i1155−5−5-100000000-1-155−5−511iiii−i−i−i−i−i5−i5i5i5−i5−i5i5i5−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78000000000000000000
χ444444-4-4000000-1−4i4i1155−5−5-100000000-1-155−5−511iiii−i−i−i−i−i5−i5i5i5−i5−i5i5i5ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78000000000000000000
χ454444-4-4000000-1−4i4i11−5−555-100000000-1-1−5−55511iiii−i−i−i−ii5i5−i5−i5i5i5−i5−i5−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26+ζ62−ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14−ζ42−ζ46+ζ58000000000000000000
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χ984-4−4i4i00−2i22i222−2200-1005−5−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ7212ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73i−iζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−i5i5−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58−ζ11−ζ13−ζ59+ζ77ζ11+ζ13+ζ59−ζ77−ζ11+ζ13−ζ59−ζ77ζ11−ζ13+ζ59+ζ77−ζ27−ζ29−ζ43+ζ61ζ27+ζ29+ζ43−ζ61−ζ27+ζ29−ζ43−ζ61ζ27−ζ29+ζ43+ζ61ζ31+ζ57−ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ31−ζ57+ζ73+ζ79−ζ31+ζ57−ζ73−ζ79−ζ9+ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63ζ9−ζ41+ζ47+ζ63−ζ9+ζ41−ζ47−ζ63ζ27+ζ29−ζ43+ζ61−ζ27−ζ29+ζ43−ζ61−ζ27+ζ29+ζ43+ζ61ζ27−ζ29−ζ43−ζ61−ζ11+ζ13+ζ59+ζ77ζ11−ζ13−ζ59−ζ77ζ11+ζ13−ζ59+ζ77−ζ11−ζ13+ζ59−ζ77ζ9+ζ41−ζ47+ζ63−ζ9−ζ41+ζ47−ζ63ζ9+ζ41+ζ47−ζ63−ζ9−ζ41−ζ47+ζ63ζ31+ζ57+ζ73−ζ79−ζ31−ζ57−ζ73+ζ79−ζ31+ζ57+ζ73+ζ79ζ31−ζ57−ζ73−ζ79000000000000000000
χ994-4−4i4i00−2i22i222−2200-1005−5ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ721−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ592ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ772ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ73i−i−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−i5i5ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58ζ11−ζ13+ζ59+ζ77−ζ11+ζ13−ζ59−ζ77ζ11+ζ13+ζ59−ζ77−ζ11−ζ13−ζ59+ζ77ζ27−ζ29+ζ43+ζ61−ζ27+ζ29−ζ43−ζ61ζ27+ζ29+ζ43−ζ61−ζ27−ζ29−ζ43+ζ61−ζ31+ζ57−ζ73−ζ79ζ31−ζ57+ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ31+ζ57−ζ73+ζ79−ζ9+ζ41−ζ47−ζ63ζ9−ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63−ζ9+ζ41+ζ47+ζ63ζ27−ζ29−ζ43−ζ61−ζ27+ζ29+ζ43+ζ61−ζ27−ζ29+ζ43−ζ61ζ27+ζ29−ζ43+ζ61−ζ11−ζ13+ζ59−ζ77ζ11+ζ13−ζ59+ζ77ζ11−ζ13−ζ59−ζ77−ζ11+ζ13+ζ59+ζ77−ζ9−ζ41−ζ47+ζ63ζ9+ζ41+ζ47−ζ63−ζ9−ζ41+ζ47−ζ63ζ9+ζ41−ζ47+ζ63ζ31−ζ57−ζ73−ζ79−ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73+ζ79ζ31+ζ57+ζ73−ζ79000000000000000000
χ1004-4−4i4i00−2i22i222−2200-1005−5ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ7212ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73i−i−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−i5i5ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58−ζ11+ζ13−ζ59−ζ77ζ11−ζ13+ζ59+ζ77−ζ11−ζ13−ζ59+ζ77ζ11+ζ13+ζ59−ζ77−ζ27+ζ29−ζ43−ζ61ζ27−ζ29+ζ43+ζ61−ζ27−ζ29−ζ43+ζ61ζ27+ζ29+ζ43−ζ61ζ31−ζ57+ζ73+ζ79−ζ31+ζ57−ζ73−ζ79ζ31+ζ57−ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ9−ζ41+ζ47+ζ63−ζ9+ζ41−ζ47−ζ63−ζ9+ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63−ζ27+ζ29+ζ43+ζ61ζ27−ζ29−ζ43−ζ61ζ27+ζ29−ζ43+ζ61−ζ27−ζ29+ζ43−ζ61ζ11+ζ13−ζ59+ζ77−ζ11−ζ13+ζ59−ζ77−ζ11+ζ13+ζ59+ζ77ζ11−ζ13−ζ59−ζ77ζ9+ζ41+ζ47−ζ63−ζ9−ζ41−ζ47+ζ63ζ9+ζ41−ζ47+ζ63−ζ9−ζ41+ζ47−ζ63−ζ31+ζ57+ζ73+ζ79ζ31−ζ57−ζ73−ζ79ζ31+ζ57+ζ73−ζ79−ζ31−ζ57−ζ73+ζ79000000000000000000
χ1014-4−4i4i00−2i22i222−2200-100−55−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ721−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ592ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ772ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ73i−iζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76i5−i5−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78ζ27+ζ29+ζ43−ζ61−ζ27−ζ29−ζ43+ζ61ζ27−ζ29+ζ43+ζ61−ζ27+ζ29−ζ43−ζ61ζ11−ζ13+ζ59+ζ77−ζ11+ζ13−ζ59−ζ77ζ11+ζ13+ζ59−ζ77−ζ11−ζ13−ζ59+ζ77ζ9−ζ41−ζ47−ζ63−ζ9+ζ41+ζ47+ζ63−ζ9+ζ41−ζ47−ζ63ζ9−ζ41+ζ47+ζ63−ζ31+ζ57−ζ73−ζ79ζ31−ζ57+ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ31+ζ57−ζ73+ζ79−ζ11−ζ13+ζ59−ζ77ζ11+ζ13−ζ59+ζ77ζ11−ζ13−ζ59−ζ77−ζ11+ζ13+ζ59+ζ77−ζ27−ζ29+ζ43−ζ61ζ27+ζ29−ζ43+ζ61ζ27−ζ29−ζ43−ζ61−ζ27+ζ29+ζ43+ζ61ζ31−ζ57−ζ73−ζ79−ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73+ζ79ζ31+ζ57+ζ73−ζ79−ζ9−ζ41+ζ47−ζ63ζ9+ζ41−ζ47+ζ63−ζ9−ζ41−ζ47+ζ63ζ9+ζ41+ζ47−ζ63000000000000000000
χ1024-4−4i4i00−2i22i222−2200-100−55−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ7212ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73i−iζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76i5−i5−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78−ζ27−ζ29−ζ43+ζ61ζ27+ζ29+ζ43−ζ61−ζ27+ζ29−ζ43−ζ61ζ27−ζ29+ζ43+ζ61−ζ11+ζ13−ζ59−ζ77ζ11−ζ13+ζ59+ζ77−ζ11−ζ13−ζ59+ζ77ζ11+ζ13+ζ59−ζ77−ζ9+ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63ζ9−ζ41+ζ47+ζ63−ζ9+ζ41−ζ47−ζ63ζ31−ζ57+ζ73+ζ79−ζ31+ζ57−ζ73−ζ79ζ31+ζ57−ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ11+ζ13−ζ59+ζ77−ζ11−ζ13+ζ59−ζ77−ζ11+ζ13+ζ59+ζ77ζ11−ζ13−ζ59−ζ77ζ27+ζ29−ζ43+ζ61−ζ27−ζ29+ζ43−ζ61−ζ27+ζ29+ζ43+ζ61ζ27−ζ29−ζ43−ζ61−ζ31+ζ57+ζ73+ζ79ζ31−ζ57−ζ73−ζ79ζ31+ζ57+ζ73−ζ79−ζ31−ζ57−ζ73+ζ79ζ9+ζ41−ζ47+ζ63−ζ9−ζ41+ζ47−ζ63ζ9+ζ41+ζ47−ζ63−ζ9−ζ41−ζ47+ζ63000000000000000000
χ1034-4−4i4i00−2i22i222−2200-100−55ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ721−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ592ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ772ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ73i−i−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76i5−i5ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78ζ27−ζ29+ζ43+ζ61−ζ27+ζ29−ζ43−ζ61ζ27+ζ29+ζ43−ζ61−ζ27−ζ29−ζ43+ζ61ζ11+ζ13+ζ59−ζ77−ζ11−ζ13−ζ59+ζ77ζ11−ζ13+ζ59+ζ77−ζ11+ζ13−ζ59−ζ77−ζ9+ζ41−ζ47−ζ63ζ9−ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63−ζ9+ζ41+ζ47+ζ63−ζ31−ζ57+ζ73−ζ79ζ31+ζ57−ζ73+ζ79−ζ31+ζ57−ζ73−ζ79ζ31−ζ57+ζ73+ζ79ζ11−ζ13−ζ59−ζ77−ζ11+ζ13+ζ59+ζ77−ζ11−ζ13+ζ59−ζ77ζ11+ζ13−ζ59+ζ77ζ27−ζ29−ζ43−ζ61−ζ27+ζ29+ζ43+ζ61−ζ27−ζ29+ζ43−ζ61ζ27+ζ29−ζ43+ζ61−ζ31−ζ57−ζ73+ζ79ζ31+ζ57+ζ73−ζ79ζ31−ζ57−ζ73−ζ79−ζ31+ζ57+ζ73+ζ79−ζ9−ζ41−ζ47+ζ63ζ9+ζ41+ζ47−ζ63−ζ9−ζ41+ζ47−ζ63ζ9+ζ41−ζ47+ζ63000000000000000000
χ1044-4−4i4i00−2i22i222−2200-100−55ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ7212ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73i−i−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76i5−i5ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ14−ζ42+ζ46−ζ58ζ26−ζ62+ζ74−ζ78−ζ26+ζ62−ζ74+ζ78−ζ27+ζ29−ζ43−ζ61ζ27−ζ29+ζ43+ζ61−ζ27−ζ29−ζ43+ζ61ζ27+ζ29+ζ43−ζ61−ζ11−ζ13−ζ59+ζ77ζ11+ζ13+ζ59−ζ77−ζ11+ζ13−ζ59−ζ77ζ11−ζ13+ζ59+ζ77ζ9−ζ41+ζ47+ζ63−ζ9+ζ41−ζ47−ζ63−ζ9+ζ41+ζ47+ζ63ζ9−ζ41−ζ47−ζ63ζ31+ζ57−ζ73+ζ79−ζ31−ζ57+ζ73−ζ79ζ31−ζ57+ζ73+ζ79−ζ31+ζ57−ζ73−ζ79−ζ11+ζ13+ζ59+ζ77ζ11−ζ13−ζ59−ζ77ζ11+ζ13−ζ59+ζ77−ζ11−ζ13+ζ59−ζ77−ζ27+ζ29+ζ43+ζ61ζ27−ζ29−ζ43−ζ61ζ27+ζ29−ζ43+ζ61−ζ27−ζ29+ζ43−ζ61ζ31+ζ57+ζ73−ζ79−ζ31−ζ57−ζ73+ζ79−ζ31+ζ57+ζ73+ζ79ζ31−ζ57−ζ73−ζ79ζ9+ζ41+ζ47−ζ63−ζ9−ζ41−ζ47+ζ63ζ9+ζ41−ζ47+ζ63−ζ9−ζ41+ζ47−ζ63000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.