Finite Group Databasebeta

← Group #12130741

Character table — Group #12130741

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222222222224444444444444444444444444488888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222244445510101010101022444410101010101010101010101020202020202020202444488202020202020202020202020202020202020202048101020202020202040404040404040402244224444448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111111111111111111-1-1-1-11111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11-1
χ61111111111111111111-1-1-1-11111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-11
χ71111111111111111111-1-1-1-111111111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-11
χ81111111111111111111-1-1-1-111111111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11-1
χ911111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1
χ1011111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-111
χ1211111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11111111-1-1
χ1311111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111111111-11-11-1-111-1-1-11
χ1411111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-1111-1
χ1511111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1
χ1611111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ17222222222−1+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+52−1−52−1−522222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+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
χ18222222222−1+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+52−1−52−1−52-2222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ19222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ20222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−522-2-2-22221−521−521+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+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ22222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−52-2-2-2-2-2-2-21−521−521+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+52221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ23222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−522-2222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ24222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−52-2-222-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ25222222222−1−52−1+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+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ26222222222−1−52−1+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+52-2222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ27222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-22-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ28222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ29222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1+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+522-2-2-22221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ30222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1+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+52-2-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ31222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+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+522-2222-2-21+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+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ32222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+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+52-2-222-2221+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+522-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3322222-2-2-2-222222222220000222222222222-2-2-2-2-2-2-2-20-200000-2-2-2-200000000000000000000000000000000002-22-200002-2000000
χ3422222-2-2-2-222222222220000222222222222-2-2-2-2-2-2-2-20-200000-2-2-2-20000000000000000000000000000000000-22-220000-22000000
χ3522222-2-2-2-222222222-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20200000222200000000000000000000000000000000002-22-20000-22000000
χ3622222-2-2-2-222222222-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2020000022220000000000000000000000000000000000-22-2200002-2000000
χ37222-2-2-22-22222222220022-2-2-2-2-2-200000000-2-2-2-222222000-22-2000022-2-222-2-20000000000220000-2-22-22-200000000000000000000
χ38222-2-2-22-22222222220022-2-2-2-2-2-200000000-2-2-2-22222-20002-22000022-2-222-2-20000000000-2-2000022-22-2200000000000000000000
χ39222-2-2-22-222222222200-2-222-2-2-2-200000000-2-2-2-222222000-2-220000-2-222-2-2220000000000220000-2-2-22-2200000000000000000000
χ40222-2-2-22-222222222200-2-222-2-2-2-200000000-2-2-2-22222-200022-20000-2-222-2-2220000000000-2-20000222-22-200000000000000000000
χ41222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022-2-21−521−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−521−521+521+52−1+52−1+52−1−52−1−522000-22-2ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+52−1+521−521−52−1−52−1−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+52−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000000
χ42222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022-2-21−521−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−521−521+521+52−1+52−1+52−1−52−1−52-20002-22ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+52−1+521−521−52−1−52−1−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+52−1−521−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000000
χ43222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022-2-21−521−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−521−521+521+52−1+52−1+52−1−52−1−522000-22-2−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+52−1+521−521−52−1−52−1−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+52−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000000
χ44222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022-2-21−521−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−521−521+521+52−1+52−1+52−1−52−1−52-20002-22−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+52−1+521−521−52−1−52−1−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+52−1−521−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000000
χ45222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2221−521−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−521−521+521+52−1+52−1+52−1−52−1−522000-2-22ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521−52−1+52−1+521+521+52−1−52−1−52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+521−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000000
χ46222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2221−521−521+521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−521−521+521+52−1+52−1+52−1−52−1−52-200022-2ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521−52−1+52−1+521+521+52−1−52−1−52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+52−1−52−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000000
χ47222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2221−521−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−521−521+521+52−1+52−1+52−1−52−1−522000-2-22−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521−52−1+52−1+521+521+52−1−52−1−52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+521−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000000
χ48222-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2221−521−521+521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−521−521+521+52−1+52−1+52−1−52−1−52-200022-2−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521−52−1+52−1+521+521+52−1−52−1−52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+52−1−52−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000000
χ49222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022-2-21+521+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+521+521−521−52−1−52−1−52−1+52−1+522000-22-2ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−52−1−521+521+52−1+52−1+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−52−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000000
χ50222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022-2-21+521+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+521+521−521−52−1−52−1−52−1+52−1+52-20002-22ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−52−1−521+521+52−1+52−1+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−52−1+521+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000000
χ51222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022-2-21+521+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+521+521−521−52−1−52−1−52−1+52−1+522000-22-2−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−52−1−521+521+52−1+52−1+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−52−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000000
χ52222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022-2-21+521+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+521+521−521−52−1−52−1−52−1+52−1+52-20002-22−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−52−1−521+521+52−1+52−1+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4001+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−52−1+521+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000000
χ53222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2221+521+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+521+521−521−52−1−52−1−52−1+52−1+522000-2-22ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521+52−1−52−1−521−521−52−1+52−1+52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−521+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000000
χ54222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2221+521+521−521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+521+521−521−52−1−52−1−52−1+52−1+52-200022-2ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521+52−1−52−1−521−521−52−1+52−1+52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4001+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−52−1+52−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000000
χ55222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2221+521+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+521+521−521−52−1−52−1−52−1+52−1+522000-2-22−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521+52−1−52−1−521−521−52−1+52−1+52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−521+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000000
χ56222-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2221+521+521−521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+521+521−521−52−1−52−1−52−1+52−1+52-200022-2−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521+52−1−52−1−521−521−52−1+52−1+52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−52−1+52−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000000
χ5722-22-2-2-22222-2-2-2-222002-22-22-22-2000000002-22-22-22-2000000000002-22-22-22-2000000000000000000000000000000020-200002-200
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χ6944444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5440000−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+51−51−51+51+50-4000001−51−51+51+500000000000000000000000000000000000000000000000000
χ7044444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-40000−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51+51+51−51−51+51+50400000−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000
χ7144444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5440000−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−51+51+51−51−50-4000001+51+51−51−500000000000000000000000000000000000000000000000000
χ7244444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-40000−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51−51−51+51+51−51−50400000−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000
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χ76444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−52ζ2−2ζ32ζ2−2ζ3−2ζ2+2ζ3−2ζ2+2ζ3−2ζ+2ζ4−2ζ+2ζ42ζ−2ζ42ζ−2ζ4−1−5−1−5−1+5−1+51+51+51−51−50000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000000000000000000000000000000000
χ77444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−5−2ζ2+2ζ3−2ζ2+2ζ32ζ2−2ζ32ζ2−2ζ32ζ−2ζ42ζ−2ζ4−2ζ+2ζ4−2ζ+2ζ4−1−5−1−5−1+5−1+51+51+51−51−500000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000000000000000000000000000000000
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χ8044-44-444-4-4−1+5−1−51−51−51+51+5−1+5−1−5000000−1+51−5−1−51+5000000001−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000−2ζ+2ζ42ζ−2ζ42ζ−2ζ4−2ζ+2ζ4−2ζ2+2ζ32ζ2−2ζ32ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000000000
χ8144-44-444-4-4−1−5−1+51+51+51−51−5−1−5−1+5000000−1−51+5−1+51−5000000001+5−1−51−5−1+51+5−1−51−5−1+500000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ+2ζ42ζ−2ζ42ζ−2ζ4−2ζ+2ζ40000000000000000000000000000000000
χ8244-44-444-4-4−1−5−1+51+51+51−51−5−1−5−1+5000000−1−51+5−1+51−5000000001+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ−2ζ4−2ζ+2ζ4−2ζ+2ζ42ζ−2ζ40000000000000000000000000000000000
χ8344-44-4-4-444−1+5−1−51−51−51+51+5−1+5−1−5004-44-4−1+51−5−1−51+500000000−1+51−5−1−51+5−1+51−5−1−51+500000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000
χ8444-44-4-4-444−1+5−1−51−51−51+51+5−1+5−1−500-44-44−1+51−5−1−51+500000000−1+51−5−1−51+5−1+51−5−1−51+5000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000
χ8544-44-4-4-444−1−5−1+51+51+51−51−5−1−5−1+5004-44-4−1−51+5−1+51−500000000−1−51+5−1+51−5−1−51+5−1+51−500000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000
χ8644-44-4-4-444−1−5−1+51+51+51−51−5−1−5−1+500-44-44−1−51+5−1+51−500000000−1−51+5−1+51−5−1−51+5−1+51−5000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000
χ8744-4-444-4-44−1+5−1−51−51−51+51+5−1+5−1−5004-4-441−5−1+51+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000000000000000000000000000
χ8844-4-444-4-44−1+5−1−51−51−51+51+5−1+5−1−500-444-41−5−1+51+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000000000000000000000000000
χ8944-4-444-4-44−1−5−1+51+51+51−51−5−1−5−1+5004-4-441+5−1−51−5−1+5000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000000000000000000000000000
χ9044-4-444-4-44−1−5−1+51+51+51−51−5−1−5−1+500-444-41+5−1−51−5−1+5000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000000000000000000000000000
χ9144-4-44-444-4−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−5004-4000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000
χ9244-4-44-444-4−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−500-440000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000
χ9344-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+5004-4000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000
χ9444-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+500-440000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000
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χ978-80000000−2+25−2−254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ32−252+254-4000000004ζ−4ζ4ζ4−4ζ44ζ2−4ζ24ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000000000000
χ988-80000000−2+25−2−254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ32−252+25-4400000000−4ζ4ζ−4ζ44ζ4−4ζ24ζ2−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000000000000
χ998-80000000−2+25−2−25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ32−252+254-4000000004ζ4−4ζ44ζ−4ζ4ζ3−4ζ34ζ2−4ζ2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-80000000−2+25−2−25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ32−252+25-4400000000−4ζ44ζ4−4ζ4ζ−4ζ34ζ3−4ζ24ζ2000000000000000000000000000000000000000000000000000000000000000000000
χ1018-80000000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ42+252−254-4000000004ζ2−4ζ24ζ3−4ζ34ζ4−4ζ44ζ−4ζ000000000000000000000000000000000000000000000000000000000000000000000
χ1028-80000000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ42+252−25-4400000000−4ζ24ζ2−4ζ34ζ3−4ζ44ζ4−4ζ4ζ000000000000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ42+252−254-4000000004ζ3−4ζ34ζ2−4ζ24ζ−4ζ4ζ4−4ζ4000000000000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ42+252−25-4400000000−4ζ34ζ3−4ζ24ζ2−4ζ4ζ−4ζ44ζ4000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).