Finite Group Databasebeta

← Group #12135349

Character table — Group #12135349

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1122222222222444444444444444444888888888888888888888888888888881010161616161616161616161616161616161616202020404040404040404040408080
order1222244445510102244101010101010202020202020202022224488101010101010101010101010101010102020202020202020884810102020202020204040404040404040888222444888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-11-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ41111111111111111111111111111111111-11-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-1
χ61111111111111111111111111111111-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-111-1-1
χ91111111111111-1-1-1-11111111111111111-11-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1
χ101111111111111-1-1-1-11111111111111111-11-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-11
χ121111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111111-1
χ131111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-11
χ141111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-11-1
χ151111111111111-1-1-1-111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-11-1
χ161111111111111-1-1-1-111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-11111-11
χ17222222222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−520022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ18222222222−1+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+52−1−52−1−52222-22-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000
χ19222222222−1+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+52−1−52−1−52-2-2-22-2222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ20222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ21222222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-22-22-2-21−521−521+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+521−521−521+521+52002-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000
χ22222222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2221−521−521+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+521−521−521+521+5200-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ23222222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ24222222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-22-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52002-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ25222222222−1−52−1+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+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+520022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ26222222222−1−52−1+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+52222-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
χ27222222222−1−52−1+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+52-2-2-22-2222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ28222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ29222222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-22-22-2-21+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+521−521−521+521+521−521−52002-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000
χ30222222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2221+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+521−521−521+521+521−521−5200-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ31222222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ32222222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-22-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52002-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ33222-2-222-2-2222222-2-22-22-2-2-22-22-22-22-2000000002222000000000000-2-2-2-200000000000000000000000000000002i−2i002i−2i00
χ34222-2-222-2-2222222-2-22-22-2-2-22-22-22-22-2000000002222000000000000-2-2-2-20000000000000000000000000000000−2i2i00−2i2i00
χ35222-2-222-2-22222-2-2222-22-2-2-22-22-22-22-200000000-2-2-2-2000000000000222200000000000000000000000000000002i−2i00−2i2i00
χ36222-2-222-2-22222-2-2222-22-2-2-22-22-22-22-200000000-2-2-2-200000000000022220000000000000000000000000000000−2i2i002i−2i00
χ37222-2-2-2-222222200002-22-2-2-2-22-22-22-220020-200000000000000022220000-2-2-2-2220000000000000000002-2-2002-200000000
χ38222-2-2-2-222222200002-22-2-2-2-22-22-22-220020-200000000000000022220000-2-2-2-2-2-2000000000000000000-22200-2200000000
χ39222-2-2-2-222222200002-22-2-2-2-22-22-22-2200-202000000000000000-2-2-2-200002222220000000000000000002-2-200-2200000000
χ40222-2-2-2-222222200002-22-2-2-2-22-22-22-2200-202000000000000000-2-2-2-200002222-2-2000000000000000000-222002-200000000
χ4122-22-2-22-2222222-22-2-22-22-2-2-22-222-22-2000000002-22-20000000000002-22-2000022000000000000000000-22-20000002-20000
χ4222-22-2-22-2222222-22-2-22-22-2-2-22-222-22-2000000002-22-20000000000002-22-20000-2-20000000000000000002-22000000-220000
χ4322-22-2-22-222222-22-22-22-22-2-2-22-222-22-200000000-22-22000000000000-22-22000022000000000000000000-22-2000000-220000
χ4422-22-2-22-222222-22-22-22-22-2-2-22-222-22-200000000-22-22000000000000-22-220000-2-20000000000000000002-220000002-20000
χ4522-2-222-2-2222220000-2-2-2-2222222-2-2-2-22-2000000000022-2-222-2-200000000000022000000000000000000-2-222-20000000000
χ4622-2-222-2-2222220000-2-2-2-2222222-2-2-2-22-2000000000022-2-222-2-2000000000000-2-200000000000000000022-2-220000000000
χ4722-2-222-2-2222220000-2-2-2-2222222-2-2-2-2-220000000000-2-222-2-22200000000000022000000000000000000-2-22-220000000000
χ4822-2-222-2-2222220000-2-2-2-2222222-2-2-2-2-220000000000-2-222-2-222000000000000-2-200000000000000000022-22-20000000000
χ4922-2-22-222-222222-2-22-2-2-2-222-2-2-2-2222200020-22-22-22-2000000000000-22-220000000022-2-200002-22-20000000000000000000
χ5022-2-22-222-222222-2-22-2-2-2-222-2-2-2-22222000-202-222-22-2000000000000-22-2200000000-2-2220000-22-220000000000000000000
χ5122-2-22-222-22222-222-2-2-2-2-222-2-2-2-2222200020-2-22-22-220000000000002-22-20000000022-2-20000-22-220000000000000000000
χ5222-2-22-222-22222-222-2-2-2-2-222-2-2-2-22222000-2022-2-22-220000000000002-22-200000000-2-22200002-22-20000000000000000000
χ5322-2-22-222-2−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200020-22-2−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ5422-2-22-222-2−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200020-22-2−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ5522-2-22-222-2−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000-202-22−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ5622-2-22-222-2−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000-202-22−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ5722-2-22-222-2−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200020-2-221−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ5822-2-22-222-2−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200020-2-221−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ5922-2-22-222-2−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000-2022-21−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ6022-2-22-222-2−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000-2022-21−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ6122-2-22-222-2−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200020-22-2−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ6222-2-22-222-2−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200020-22-2−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ6322-2-22-222-2−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000-202-22−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ6422-2-22-222-2−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000-202-22−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ6522-2-22-222-2−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200020-2-221+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ6622-2-22-222-2−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200020-2-221+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ6722-2-22-222-2−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000-2022-21+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ6822-2-22-222-2−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000-2022-21+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ6944444-4-4-4-444440000444444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000
χ7044444-4-4-4-4−1+5−1−5−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+50000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000
χ7144444-4-4-4-4−1+5−1−5−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000
χ7244444-4-4-4-4−1−5−1+5−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000
χ7344444-4-4-4-4−1−5−1+5−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−50000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000
χ74444-4-444-4-4−1+5−1−5−1+5−1−544-4-4−1+51−5−1−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+500000000−1+5−1+5−1−5−1−50000000000001−51−51+51+5000000000000000000000000000000000000000
χ75444-4-444-4-4−1+5−1−5−1+5−1−5-4-444−1+51−5−1−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+5000000001−51−51+51+5000000000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000
χ76444-4-444-4-4−1−5−1+5−1−5−1+544-4-4−1−51+5−1+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−500000000−1−5−1−5−1+5−1+50000000000001+51+51−51−5000000000000000000000000000000000000000
χ77444-4-444-4-4−1−5−1+5−1−5−1+5-4-444−1−51+5−1+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−5000000001+51+51−51−5000000000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000
χ78444-4-4-4-444−1+5−1−5−1+5−1−50000−1+51−5−1−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50040-4000000000000000−1+5−1+5−1−5−1−500001−51−51+51+500000000000000000000000000000000000
χ79444-4-4-4-444−1+5−1−5−1+5−1−50000−1+51−5−1−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−500-4040000000000000001−51−51+51+50000−1+5−1+5−1−5−1−500000000000000000000000000000000000
χ80444-4-4-4-444−1−5−1+5−1−5−1+50000−1−51+5−1+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+50040-4000000000000000−1−5−1−5−1+5−1+500001+51+51−51−500000000000000000000000000000000000
χ81444-4-4-4-444−1−5−1+5−1−5−1+50000−1−51+5−1+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+500-4040000000000000001+51+51−51−50000−1−5−1−5−1+5−1+500000000000000000000000000000000000
χ8244-44-44-44-444440000-44-44-4-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000
χ8344-44-44-44-4−1+5−1−5−1+5−1−500001−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000
χ8444-44-44-44-4−1+5−1−5−1+5−1−500001−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000
χ8544-44-44-44-4−1−5−1+5−1−5−1+500001+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000
χ8644-44-44-44-4−1−5−1+5−1−5−1+500001+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000
χ8744-44-4-44-44−1+5−1−5−1+5−1−54-44-41−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+500000000−1+51−5−1−51+5000000000000−1+51−5−1−51+5000000000000000000000000000000000000000
χ8844-44-4-44-44−1+5−1−5−1+5−1−5-44-441−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5000000001−5−1+51+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000
χ8944-44-4-44-44−1−5−1+5−1−5−1+54-44-41+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−500000000−1−51+5−1+51−5000000000000−1−51+5−1+51−5000000000000000000000000000000000000000
χ9044-44-4-44-44−1−5−1+5−1−5−1+5-44-441+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5000000001+5−1−51−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000
χ9144-4-444-4-44−1+5−1−5−1+5−1−500001−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+54-40000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000
χ9244-4-444-4-44−1+5−1−5−1+5−1−500001−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5-4400000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000
χ9344-4-444-4-44−1−5−1+5−1−5−1+500001+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−54-40000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000
χ9444-4-444-4-44−1−5−1+5−1−5−1+500001+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5-4400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000
χ958-8000000088-8-80000000000000000000000000000000000000000000000000042−42000000000000000000000000000000000
χ968-8000000088-8-800000000000000000000000000000000000000000000000000−4242000000000000000000000000000000000
χ9716-160000000−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-160000000−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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