Finite Group Databasebeta

← Group #10615607

Character table — Group #10615607

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222444444444444444488888888810102020202020401111222222222244444444444444448888888881010202020202040
order1222445510101010101044882020202040404040404040404202020202020202044444882222244101010101010101044882020202040404040404040404202020202020202044444882
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111
χ511111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-1
χ611111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11111-1
χ9222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ10222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ11222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000
χ12222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ13222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ14222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ15222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000
χ16222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ172222-2-2222222220000-2-2-2-20000000000000000022-2000002222-2-2222222220000-2-2-2-20000000000000000022-200000
χ182222-2-2222222220000-2-2-2-200000000000000000-2-22000002222-2-2222222220000-2-2-2-200000000000000000-2-2200000
χ1922-2-22-222-2-2-2-222000022-2-2000000000000000000002i−2i00022-2-22-222-2-2-2-222000022-2-2000000000000000000002i−2i000
χ2022-2-22-222-2-2-2-222000022-2-200000000000000000000−2i2i00022-2-22-222-2-2-2-222000022-2-200000000000000000000−2i2i000
χ2122-2-2-2222-2-2-2-2222-200-2-2220000000002-22-200000000000022-2-2-2222-2-2-2-2222-200-2-2220000000002-22-2000000000000
χ2222-2-2-2222-2-2-2-222-2200-2-222000000000-22-2200000000000022-2-2-2222-2-2-2-222-2200-2-222000000000-22-22000000000000
χ2322-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ2422-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ2522-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3601−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3601−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ2622-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3601−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3601−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ2722-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ2822-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ2922-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2801+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2801+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ3022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2801+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2801+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ312-2-2200222-22-2-2-2002−200002−22−22−22−20000000002i−2i000i2−i202-2-2200222-22-2-2-2002−200002−22−22−22−20000000002i−2i000i2−i20
χ322-2-2200222-22-2-2-2002−200002−22−22−22−2000000000−2i2i000−i2i202-2-2200222-22-2-2-2002−200002−22−22−22−2000000000−2i2i000−i2i20
χ332-2-2200222-22-2-2-200−220000−22−22−22−220000000002i−2i000−i2i202-2-2200222-22-2-2-200−220000−22−22−22−220000000002i−2i000−i2i20
χ342-2-2200222-22-2-2-200−220000−22−22−22−22000000000−2i2i000i2−i202-2-2200222-22-2-2-200−220000−22−22−22−22000000000−2i2i000i2−i20
χ354444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51+51−51+500000000000000000000000004444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51+51−51+50000000000000000000000000
χ364444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51−51+51−500000000000000000000000004444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51−51+51−50000000000000000000000000
χ3744-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−51+5000000000000000000000000044-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−51+50000000000000000000000000
χ3844-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+51−5000000000000000000000000044-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+51−50000000000000000000000000
χ394-44-40044-44-44-4-40000000000000000000000000000000004-44-40044-44-44-4-4000000000000000000000000000000000
χ404-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000004-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ414-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000004-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ424-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000004-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ434-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000004-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ444-4-4400−1+5−1−5−1+51−5−1−51+51−51+50022−220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000004-4-4400−1+5−1−5−1+51−5−1−51+51−51+50022−220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000
χ454-4-4400−1+5−1−5−1+51−5−1−51+51−51+500−22220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000004-4-4400−1+5−1−5−1+51−5−1−51+51−51+500−22220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000
χ464-4-4400−1−5−1+5−1−51+5−1+51−51+51−50022−220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000004-4-4400−1−5−1+5−1−51+5−1+51−51+51−50022−220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000
χ474-4-4400−1−5−1+5−1−51+5−1+51−51+51−500−22220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000004-4-4400−1−5−1+5−1−51+5−1+51−51+51−500−22220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000
χ4811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ49111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ501111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1111111111-1-1-1
χ5211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11
χ5311111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1
χ5411111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-1-1-1-1-1-1-11111-1
χ5511111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-1-1-1-1111-1-1-1-11
χ56222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-2-2-21−521+521−521−521+521+521−521+52-2-2-2-21−521+521−521+521−521−521−521−521+521+521+521+52-21−521−521+521+521−521−521+521+5200000000
χ57222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-2-2-2-2-21−521+521−521−521+521+521−521+52-2-2221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ58222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000-2-2-2-2-2-21−521+521−521−521+521+521−521+5222-2-21−521+521−521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ59222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000-2-2-2-2-2-21−521+521−521−521+521+521−521+5222221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ60222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-2-2-21+521−521+521+521−521−521+521−52-2-2-2-21+521−521+521−521+521+521+521+521−521−521−521−52-21+521+521−521−521+521+521−521−5200000000
χ61222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-2-2-2-2-21+521−521+521+521−521−521+521−52-2-2221+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ62222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000-2-2-2-2-2-21+521−521+521+521−521−521+521−5222-2-21+521−521+521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ63222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000-2-2-2-2-2-21+521−521+521+521−521−521+521−5222221+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ642222-2-2222222220000-2-2-2-20000000000000000022-200000-2-2-2-222-2-2-2-2-2-2-2-20000222200000000000000000-2-2200000
χ652222-2-2222222220000-2-2-2-200000000000000000-2-2200000-2-2-2-222-2-2-2-2-2-2-2-2000022220000000000000000022-200000
χ6622-2-22-222-2-2-2-222000022-2-2000000000000000000002i−2i000-2-222-22-2-22222-2-20000-2-22200000000000000000000−2i2i000
χ6722-2-22-222-2-2-2-222000022-2-200000000000000000000−2i2i000-2-222-22-2-22222-2-20000-2-222000000000000000000002i−2i000
χ6822-2-2-2222-2-2-2-2222-200-2-2220000000002-22-2000000000000-2-2222-2-2-22222-2-2-220022-2-2000000000-22-22000000000000
χ6922-2-2-2222-2-2-2-222-2200-2-222000000000-22-22000000000000-2-2222-2-2-22222-2-22-20022-2-20000000002-22-2000000000000
χ7022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000-2-2222-21−521+52−1+52−1+52−1−52−1−521−521+52-2200−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3601−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ7122-2-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000-2-2222-21−521+52−1+52−1+52−1−52−1−521−521+52-2200−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3601−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ7222-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3601−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000-2-2222-21−521+52−1+52−1+52−1−52−1−521−521+522-200−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ7322-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22001−521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3601−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000-2-2222-21−521+52−1+52−1+52−1−52−1−521−521+522-200−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ7422-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000-2-2222-21+521−52−1−52−1−52−1+52−1+521+521−52-2200−1−52−1+521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2801+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ7522-2-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000-2-2222-21+521−52−1−52−1−52−1+52−1+521+521−52-2200−1−52−1+521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2801+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ7622-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2801+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000-2-2222-21+521−52−1−52−1−52−1+52−1+521+521−522-200−1−52−1+521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ7722-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22001+521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2801+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000-2-2222-21+521−52−1−52−1−52−1+52−1+521+521−522-200−1−52−1+521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ782-2-2200222-22-2-2-2002−200002−22−22−22−20000000002i−2i000i2−i20-222-200-2-2-22-222200−220000−22−22−22−22000000000−2i2i000−i2i20
χ792-2-2200222-22-2-2-2002−200002−22−22−22−2000000000−2i2i000−i2i20-222-200-2-2-22-222200−220000−22−22−22−220000000002i−2i000i2−i20
χ802-2-2200222-22-2-2-200−220000−22−22−22−220000000002i−2i000−i2i20-222-200-2-2-22-2222002−200002−22−22−22−2000000000−2i2i000i2−i20
χ812-2-2200222-22-2-2-200−220000−22−22−22−22000000000−2i2i000i2−i20-222-200-2-2-22-2222002−200002−22−22−22−20000000002i−2i000−i2i20
χ824444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51+51−51+50000000000000000000000000-4-4-4-4441−51+51−51−51+51+51−51+50000−1+5−1−5−1+5−1−50000000000000000000000000
χ834444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51−51+51−50000000000000000000000000-4-4-4-4441+51−51+51+51−51−51+51−50000−1−5−1+5−1−5−1+50000000000000000000000000
χ8444-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−51+50000000000000000000000000-4-444-441−51+5−1+5−1+5−1−5−1−51−51+500001−51+5−1+5−1−50000000000000000000000000
χ8544-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+51−50000000000000000000000000-4-444-441+51−5−1−5−1−5−1+5−1+51+51−500001+51−5−1−5−1+50000000000000000000000000
χ864-44-40044-44-44-4-4000000000000000000000000000000000-44-4400-4-44-44-444000000000000000000000000000000000
χ874-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000-44-44001−51+5−1+51−5−1−51+5−1+5−1−500000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ884-44-400−1+5−1−51−5−1+51+5−1−51−51+500000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000-44-44001−51+5−1+51−5−1−51+5−1+5−1−500000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ894-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000-44-44001+51−5−1−51+5−1+51−5−1−5−1+500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ904-44-400−1−5−1+51+5−1−51−5−1+51+51−500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000-44-44001+51−5−1−51+5−1+51−5−1−5−1+500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ914-4-4400−1+5−1−5−1+51−5−1−51+51−51+50022−220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000-444-4001−51+51−5−1+51+5−1−5−1+5−1−500−22220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000
χ924-4-4400−1+5−1−5−1+51−5−1−51+51−51+500−22220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000-444-4001−51+51−5−1+51+5−1−5−1+5−1−50022−220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000
χ934-4-4400−1−5−1+5−1−51+5−1+51−51+51−50022−220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000-444-4001+51−51+5−1−51−5−1+5−1−5−1+500−22220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000
χ944-4-4400−1−5−1+5−1−51+5−1+51−51+51−500−22220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000-444-4001+51−51+5−1−51−5−1+5−1−5−1+50022−220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.