Finite Group Databasebeta

← Group #12253413

Character table — Group #12253413

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222444444444444444444448888888888888888888888888888888816161616161616161616161616161616161620204040404040404080808080
order1222255101022224410101010101010101010101010102224444410101010101010101010101020202020202020202020202044101020202020202020202020202020204422244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ41111111111111111111111111111111-111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ511111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ611111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-111
χ911-1-111111-1-111-11-1-1-1-1-1-1-1-11111111-111-1-11-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1111-11-1-11-11-11-1
χ1011-1-111111-1-111-11-1-1-1-1-1-1-1-11111111-111-1-11-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-11-111-11-11-11
χ1111-1-111111-1-111-11-1-1-1-1-1-1-1-11111111-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111111-1-11-1-11-111-1
χ1211-1-111111-1-111-11-1-1-1-1-1-1-1-11111111-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-111-111-11-1-11
χ1311-1-111111-1-111-11-1-1-1-1-1-1-1-1111111-111-11-11-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1-11111111-11-1-11-1-11-11
χ1411-1-111111-1-111-11-1-1-1-1-1-1-1-1111111-111-11-11-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1-11111-1-1-11-111-111-11-1
χ1511-1-111111-1-111-11-1-1-1-1-1-1-1-1111111-11-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1111-1-11-1-111-1-11
χ1611-1-111111-1-111-11-1-1-1-1-1-1-1-1111111-11-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-111-111-1-111-1
χ172222222222-22-2-2-222222222222222002002-2-2-2-2-2-200000000-2-2-2-200000000002222-2-2-2-2000000000000000000000
χ182222222222-22-2-2-22222222222222200-200-222-2-2-2-200000000-2-2-2-20000000000-2-2-2-22222000000000000000000000
χ19222222222-22-22-2-22222-2-2-2-222-2-2-2-200000000222200000000-2-2-2-2000000000000000000000000000000220-2-20000
χ20222222222-22-22-2-22222-2-2-2-222-2-2-2-200000000222200000000-2-2-2-2000000000000000000000000000000-2-20220000
χ21222222222-2-2-2-2222222-2-2-2-222-2-2-2-200000000-2-2-2-20000000022220000000000000000000000000022-2-2002000000
χ22222222222-2-2-2-2222222-2-2-2-222-2-2-2-200000000-2-2-2-200000000222200000000000000000000000000-2-22200-2000000
χ2322222−1+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+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000000000000
χ2422222−1+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+52−1−52−1−5222-222-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000000
χ2522222−1+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+52−1−52−1−52-2-22-2-2222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000
χ2622222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ2722222−1+52−1−52−1+52−1−522-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002002-2-21−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300−1+52−1−52−1+52−1−521−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000
χ2822222−1+52−1−52−1+52−1−522-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002002-2-21−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300−1+52−1−52−1+52−1−521−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000
χ2922222−1+52−1−52−1+52−1−522-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-200-2221−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3001−521+521−521+52−1+52−1−52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000
χ3022222−1+52−1−52−1+52−1−522-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-200-2221−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3001−521+521−521+52−1+52−1−52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000
χ3122222−1−52−1+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+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+520000000000000
χ3222222−1−52−1+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+5222-222-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−520000000000000
χ3322222−1−52−1+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+52-2-22-2-2222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000
χ3422222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000
χ3522222−1−52−1+52−1−52−1+522-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002002-2-21+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400−1−52−1+52−1−52−1+521+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000
χ3622222−1−52−1+52−1−52−1+522-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002002-2-21+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400−1−52−1+52−1−52−1+521+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000
χ3722222−1−52−1+52−1−52−1+522-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-200-2221+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4001+521−521+521−52−1−52−1+52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000
χ3822222−1−52−1+52−1−52−1+522-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-200-2221+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4001+521−521+521−52−1−52−1+52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000
χ3922-2-22222222-2-2-22-2-2-2-2222222-2-2-2-200000000-2-2220000000022-2-20000000000000000000000000022-2200-2000000
χ4022-2-22222222-2-2-22-2-2-2-2222222-2-2-2-200000000-2-2220000000022-2-200000000000000000000000000-2-22-2002000000
χ4122-2-2222222-2-222-2-2-2-2-2222222-2-2-2-20000000022-2-200000000-2-2220000000000000000000000000000002-20-220000
χ4222-2-2222222-2-222-2-2-2-2-2222222-2-2-2-20000000022-2-200000000-2-222000000000000000000000000000000-2202-20000
χ4322-2-222222-222-22-2-2-2-2-2-2-2-2-222222200200-2-22-2-22200000000-2-222000000000022-2-2-2-222000000000000000000000
χ4422-2-222222-222-22-2-2-2-2-2-2-2-2-222222200-20022-2-2-22200000000-2-2220000000000-2-22222-2-2000000000000000000000
χ4522-2-22−1+52−1−52−1+52−1−52-222-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200200-2-221−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300−1+52−1−521−521+521−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000
χ4622-2-22−1+52−1−52−1+52−1−52-222-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200200-2-221−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300−1+52−1−521−521+521−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000
χ4722-2-22−1+52−1−52−1+52−1−52-222-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200-20022-21−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3001−521+52−1+52−1−52−1+52−1−521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000000000000
χ4822-2-22−1+52−1−52−1+52−1−52-222-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200-20022-21−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3001−521+52−1+52−1−52−1+52−1−521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000000000000
χ4922-2-22−1+52−1−52−1+52−1−52-2-222-221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-222-2-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ5022-2-22−1+52−1−52−1+52−1−52-2-222-221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-22-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ5122-2-22−1+52−1−52−1+52−1−52-2-222-221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-222-22-22-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ5222-2-22−1+52−1−52−1+52−1−52-2-222-221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ5322-2-22−1−52−1+52−1−52−1+52-222-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200200-2-221+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400−1−52−1+521+521−521+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000
χ5422-2-22−1−52−1+52−1−52−1+52-222-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200200-2-221+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400−1−52−1+521+521−521+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000
χ5522-2-22−1−52−1+52−1−52−1+52-222-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200-20022-21+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4001+521−52−1−52−1+52−1−52−1+521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000000000000
χ5622-2-22−1−52−1+52−1−52−1+52-222-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200-20022-21+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4001+521−52−1−52−1+52−1−52−1+521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000000000000
χ5722-2-22−1−52−1+52−1−52−1+52-2-222-221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-222-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ5822-2-22−1−52−1+52−1−52−1+52-2-222-221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-22-22−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ5922-2-22−1−52−1+52−1−52−1+52-2-222-221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-222-22-22-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ6022-2-22−1−52−1+52−1−52−1+52-2-222-221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ6144444−1+5−1−5−1+5−1−5-44-44-4-4−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+500000000−1+5−1−5−1+5−1−5000000001−51+51−51+5000000000000000000000000000000000000000
χ6244444−1+5−1−5−1+5−1−5-4-4-4-444−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+5000000001−51+51−51+500000000−1+5−1−5−1+5−1−5000000000000000000000000000000000000000
χ6344444−1−5−1+5−1−5−1+5-44-44-4-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−500000000−1−5−1+5−1−5−1+5000000001+51−51+51−5000000000000000000000000000000000000000
χ6444444−1−5−1+5−1−5−1+5-4-4-4-444−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−5000000001+51−51+51−500000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000
χ65444-4-444440000004-44-40000-4-40000220-2-20000000222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000
χ66444-4-444440000004-44-40000-4-40000-2-20220000000-2-2-2-2-2-2-2-20000222222220000000000000000000000000000000
χ67444-4-4−1+5−1−5−1+5−1−5000000−1+51−5−1−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ31−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3220-2-200000002ζ2ζ42ζ22ζ32ζ2ζ42ζ22ζ30000−2ζ−2ζ4−2ζ2−2ζ3−2ζ−2ζ4−2ζ2−2ζ30000000000000000000000000000000
χ68444-4-4−1+5−1−5−1+5−1−5000000−1+51−5−1−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ31−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3-2-20220000000−2ζ−2ζ4−2ζ2−2ζ3−2ζ−2ζ4−2ζ2−2ζ300002ζ2ζ42ζ22ζ32ζ2ζ42ζ22ζ30000000000000000000000000000000
χ69444-4-4−1+5−1−5−1+5−1−5000000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ31−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3220-2-200000002ζ42ζ2ζ32ζ22ζ42ζ2ζ32ζ20000−2ζ4−2ζ−2ζ3−2ζ2−2ζ4−2ζ−2ζ3−2ζ20000000000000000000000000000000
χ70444-4-4−1+5−1−5−1+5−1−5000000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ31−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3-2-20220000000−2ζ4−2ζ−2ζ3−2ζ2−2ζ4−2ζ−2ζ3−2ζ200002ζ42ζ2ζ32ζ22ζ42ζ2ζ32ζ20000000000000000000000000000000
χ71444-4-4−1−5−1+5−1−5−1+5000000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ41+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4220-2-200000002ζ22ζ32ζ42ζ2ζ22ζ32ζ42ζ0000−2ζ2−2ζ3−2ζ4−2ζ−2ζ2−2ζ3−2ζ4−2ζ0000000000000000000000000000000
χ72444-4-4−1−5−1+5−1−5−1+5000000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ41+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4-2-20220000000−2ζ2−2ζ3−2ζ4−2ζ−2ζ2−2ζ3−2ζ4−2ζ00002ζ22ζ32ζ42ζ2ζ22ζ32ζ42ζ0000000000000000000000000000000
χ73444-4-4−1−5−1+5−1−5−1+5000000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ41+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4220-2-200000002ζ32ζ22ζ2ζ42ζ32ζ22ζ2ζ40000−2ζ3−2ζ2−2ζ−2ζ4−2ζ3−2ζ2−2ζ−2ζ40000000000000000000000000000000
χ74444-4-4−1−5−1+5−1−5−1+5000000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ41+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4-2-20220000000−2ζ3−2ζ2−2ζ−2ζ4−2ζ3−2ζ2−2ζ−2ζ400002ζ32ζ22ζ2ζ42ζ32ζ22ζ2ζ40000000000000000000000000000000
χ7544-44-44444000000-44-440000-4-400002-20-2200000002222-2-2-2-20000-2-2-2-222220000000000000000000000000000000
χ7644-44-44444000000-44-440000-4-40000-2202-20000000-2-2-2-2222200002222-2-2-2-20000000000000000000000000000000
χ7744-44-4−1+5−1−5−1+5−1−50000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ31−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ32-20-2200000002ζ42ζ2ζ32ζ2−2ζ4−2ζ−2ζ3−2ζ20000−2ζ4−2ζ−2ζ3−2ζ22ζ42ζ2ζ32ζ20000000000000000000000000000000
χ7844-44-4−1+5−1−5−1+5−1−50000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ31−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3-2202-20000000−2ζ4−2ζ−2ζ3−2ζ22ζ42ζ2ζ32ζ200002ζ42ζ2ζ32ζ2−2ζ4−2ζ−2ζ3−2ζ20000000000000000000000000000000
χ7944-44-4−1+5−1−5−1+5−1−50000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ31−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ32-20-2200000002ζ2ζ42ζ22ζ3−2ζ−2ζ4−2ζ2−2ζ30000−2ζ−2ζ4−2ζ2−2ζ32ζ2ζ42ζ22ζ30000000000000000000000000000000
χ8044-44-4−1+5−1−5−1+5−1−50000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ31−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3-2202-20000000−2ζ−2ζ4−2ζ2−2ζ32ζ2ζ42ζ22ζ300002ζ2ζ42ζ22ζ3−2ζ−2ζ4−2ζ2−2ζ30000000000000000000000000000000
χ8144-44-4−1−5−1+5−1−5−1+50000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ41+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ42-20-2200000002ζ32ζ22ζ2ζ4−2ζ3−2ζ2−2ζ−2ζ40000−2ζ3−2ζ2−2ζ−2ζ42ζ32ζ22ζ2ζ40000000000000000000000000000000
χ8244-44-4−1−5−1+5−1−5−1+50000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ41+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4-2202-20000000−2ζ3−2ζ2−2ζ−2ζ42ζ32ζ22ζ2ζ400002ζ32ζ22ζ2ζ4−2ζ3−2ζ2−2ζ−2ζ40000000000000000000000000000000
χ8344-44-4−1−5−1+5−1−5−1+50000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ41+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ42-20-2200000002ζ22ζ32ζ42ζ−2ζ2−2ζ3−2ζ4−2ζ0000−2ζ2−2ζ3−2ζ4−2ζ2ζ22ζ32ζ42ζ0000000000000000000000000000000
χ8444-44-4−1−5−1+5−1−5−1+50000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ41+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4-2202-20000000−2ζ2−2ζ3−2ζ4−2ζ2ζ22ζ32ζ42ζ00002ζ22ζ32ζ42ζ−2ζ2−2ζ3−2ζ4−2ζ0000000000000000000000000000000
χ8544-4-44−1+5−1−5−1+5−1−544-4-4-441−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5000000001−51+5−1+5−1−500000000−1+5−1−51−51+5000000000000000000000000000000000000000
χ8644-4-44−1+5−1−5−1+5−1−54-4-444-41−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+500000000−1+5−1−51−51+5000000001−51+5−1+5−1−5000000000000000000000000000000000000000
χ8744-4-44−1−5−1+5−1−5−1+544-4-4-441+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5000000001+51−5−1−5−1+500000000−1−5−1+51+51−5000000000000000000000000000000000000000
χ8844-4-44−1−5−1+5−1−5−1+54-4-444-41+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−500000000−1−5−1+51+51−5000000001+51−5−1−5−1+5000000000000000000000000000000000000000
χ898-800088-8-800000000000000000000000000000000000000000000000000000000000000000000004-400000000000
χ908-800088-8-80000000000000000000000000000000000000000000000000000000000000000000000-4400000000000
χ9116-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9216-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000000000000000000000000000000

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