Finite Group Databasebeta

← Group #12090607

Character table — Group #12090607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444448888888888888888888888888888881010101016161616161616161616161616161616161616202020202020404040404040808080
order1222444455101010101010224448888202020202020202024441010101010101010202020202020202020204040404040404040888844820202020202020202020202040404040888888248888448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-111-11111-1-1-1-1111111-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1
χ4111111111111111111111111111111111-111-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111111111111-1-11-1-1-1-11111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1
χ6111111111111111111-1-11-1-1-1-11111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111
χ7111111111111111111-1-11-1-1-1-111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-111
χ8111111111111111111-1-11-1-1-1-111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-1111-1-1
χ91111111111111111-1-1111-1-1-1-1111111111-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1
χ101111111111111111-1-1111-1-1-1-1111111111-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-11
χ111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-11
χ121111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111-1-111111111-1-1-11-1
χ131111111111111111-1-1-1-111111111111111-1-11-1-1-1-1111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11
χ141111111111111111-1-1-1-111111111111111-1-11-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1
χ151111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1
χ161111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222−1+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
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000-222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ2122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-22-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ2222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200002-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ2322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ2422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ2522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+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+52−1−52−1−52−1+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+520000222−1−52−1+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
χ2622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
χ2722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000
χ2822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000-222−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ2922222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-22-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ3022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200002-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ3122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-221+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ3222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ33222222-2-2222222222222-2-2-222-2-2-2-222220-2-2022220000-2-222220000-2-2-2-222220000000-2-2-2-2000000000000000000000000000
χ34222222-2-22222222222-2-2-222-2-2-2-2-2-222220-22022220000-2-2-2-2-2-200002222-2-2-2-20000000-2-222000000000000000000000000000
χ35222222-2-222222222-2-222-222-2-2-2-2-2-2222202-20-2-2-2-20000-2-2222200002222-2-2-2-2000000022-2-2000000000000000000000000000
χ36222222-2-222222222-2-2-2-2-2-2-222-2-2-2-222220220-2-2-2-20000-2-2-2-2-2-20000-2-2-2-2222200000002222000000000000000000000000000
χ37222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−520-2-20−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ38222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−520-2-20−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ39222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−520-220−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ40222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−520-220−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ41222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-222-2-21−521−521+521+52−1+52−1−52−1+52−1−5202-201−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ42222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-222-2-21−521−521+521+52−1+52−1−52−1+52−1−5202-201−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ43222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−5202201−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ44222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−5202201−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ45222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+520-2-20−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ46222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+520-2-20−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ47222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+520-220−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ48222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+520-220−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ49222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-222-2-21+521+521−521−52−1−52−1+52−1−52−1+5202-201+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ50222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-222-2-21+521+521−521−52−1−52−1+52−1−52−1+5202-201+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ51222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+5202201+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ52222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+5202201+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ532222-2-222222222220000-200002222-2-2-2-2200-200002222-2-20000-2-2-2-20000000022220000000000000000000-2-200002-20000000
χ542222-2-222222222220000-200002222-2-2-2-2200-200002222-2-20000-2-2-2-200000000-2-2-2-20000000000000000000220000-220000000
χ552222-2-222222222220000-200002222-2-2-2-2-20020000-2-2-2-2-2-2000022220000000022220000000000000000000-2-20000-220000000
χ562222-2-222222222220000-200002222-2-2-2-2-20020000-2-2-2-2-2-20000222200000000-2-2-2-200000000000000000002200002-20000000
χ572-2-22-220022-2-2-2-2222-22-20002-20000-2-22200002-22-20000002-22-2000000002-22-222−2−200000000000000000002−222−2−2002−22−2000
χ582-2-22-220022-2-2-2-2222-22-20002-20000-2-22200002-22-20000002-22-2000000002-22-2−2−2220000000000000000000−22−2−22200−22−22000
χ592-2-22-220022-2-2-2-2222-2-22000-220000-2-22200002-22-2000000-22-2200000000-22-2222−2−200000000000000000002−2−2−222002−2−22000
χ602-2-22-220022-2-2-2-2222-2-22000-220000-2-22200002-22-2000000-22-2200000000-22-22−2−2220000000000000000000−2222−2−200−222−2000
χ612-2-22-220022-2-2-2-222-222-2000-220000-2-2220000-22-220000002-22-200000000-22-2222−2−200000000000000000002−2−2−22200−222−2000
χ622-2-22-220022-2-2-2-222-222-2000-220000-2-2220000-22-220000002-22-200000000-22-22−2−2220000000000000000000−2222−2−2002−2−22000
χ632-2-22-220022-2-2-2-222-22-220002-20000-2-2220000-22-22000000-22-22000000002-22-222−2−200000000000000000002−222−2−200−22−22000
χ642-2-22-220022-2-2-2-222-22-220002-20000-2-2220000-22-22000000-22-22000000002-22-2−2−2220000000000000000000−22−2−222002−22−2000
χ654444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-40000−1+5−1+5−1−5−1−51−51+51−51+5400-40000−1+5−1+5−1−5−1−51−51+500001−51−51+51+50000000000000000000000000000000000000000000000
χ664444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-40000−1+5−1+5−1−5−1−51−51+51−51+5-400400001−51−51+51+51−51+50000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000
χ674444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-40000−1−5−1−5−1+5−1+51+51−51+51−5400-40000−1−5−1−5−1+5−1+51+51−500001+51+51−51−50000000000000000000000000000000000000000000000
χ684444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-40000−1−5−1−5−1+5−1+51+51−51+51−5-400400001+51+51−51−51+51−50000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000
χ694444-4-4-4-444444444000040000-4-4-4-4-4-4-4-400000000000044000000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000400001−51−51+51+51−51+51−51+5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ714444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000400001−51−51+51+51−51+51−51+500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ724444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000400001+51+51−51−51+51−51+51−500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ734444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000400001+51+51−51−51+51−51+51−5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ7444-4-40000444-44-4-4-40000022−220000000000000000000000000000000022−2222−22000022−2222−220000000000000000000002-22-2000000000
χ7544-4-40000444-44-4-4-40000022−220000000000000000000000000000000022−2222−220000−2222−2222000000000000000000000-22-22000000000
χ7644-4-40000444-44-4-4-400000−222200000000000000000000000000000000−2222−2222000022−2222−22000000000000000000000-22-22000000000
χ7744-4-40000444-44-4-4-400000−222200000000000000000000000000000000−2222−22220000−2222−22220000000000000000000002-22-2000000000
χ784-44-4004-444-44-44-4-40000000004-44-40000000000000000000000000000000000000000000000000000000000022−22−2222000000000
χ794-44-4004-444-44-44-4-40000000004-44-400000000000000000000000000000000000000000000000000000000000−222222−22000000000
χ804-44-400-4444-44-44-4-4000000000-44-4400000000000000000000000000000000004-4-440000000000000000000000000000000000
χ814-44-400-4444-44-44-4-4000000000-44-440000000000000000000000000000000000-444-40000000000000000000000000000000000
χ824-4-444-40044-4-4-4-444000000000000044-4-40000000000000000000000000000002222−22−220000000000000000000−22220000000000000
χ834-4-444-40044-4-4-4-444000000000000044-4-4000000000000000000000000000000−22−222222000000000000000000022−220000000000000
χ844-4-44-4400−1+5−1−51−51−51+51+5−1+5−1−54-44-40004-400001−51+5−1+5−1−50000−1+51−5−1−51+5000000−1+51−5−1−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000
χ854-4-44-4400−1+5−1−51−51−51+51+5−1+5−1−54-4-44000-4400001−51+5−1+5−1−50000−1+51−5−1−51+50000001−5−1+51+5−1−5000000001−5−1+51+5−1−500000000000000000000000000000000000000
χ864-4-44-4400−1+5−1−51−51−51+51+5−1+5−1−5-444-4000-4400001−51+5−1+5−1−500001−5−1+51+5−1−5000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000
χ874-4-44-4400−1+5−1−51−51−51+51+5−1+5−1−5-44-440004-400001−51+5−1+5−1−500001−5−1+51+5−1−50000001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000
χ884-4-44-4400−1−5−1+51+51+51−51−5−1−5−1+54-44-40004-400001+51−5−1−5−1+50000−1−51+5−1+51−5000000−1−51+5−1+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000
χ894-4-44-4400−1−5−1+51+51+51−51−5−1−5−1+54-4-44000-4400001+51−5−1−5−1+50000−1−51+5−1+51−50000001+5−1−51−5−1+5000000001+5−1−51−5−1+500000000000000000000000000000000000000
χ904-4-44-4400−1−5−1+51+51+51−51−5−1−5−1+5-444-4000-4400001+51−5−1−5−1+500001+5−1−51−5−1+5000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000
χ914-4-44-4400−1−5−1+51+51+51−51−5−1−5−1+5-44-440004-400001+51−5−1−5−1+500001+5−1−51−5−1+50000001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000
χ9288-8-80000−2+25−2−25−2+252−25−2−252+252−252+250000042−4200000000000000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000
χ9388-8-80000−2+25−2−25−2+252−25−2−252+252−252+2500000−4242000000000000000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000
χ9488-8-80000−2−25−2+25−2−252+25−2+252−252+252−250000042−42000000000000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000
χ9588-8-80000−2−25−2+25−2−252+25−2+252−252+252−2500000−424200000000000000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000
χ968-88-8008-8−2+25−2−252−25−2+252+25−2−252−252+25000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8008-8−2−25−2+252+25−2−252−25−2+252+252−25000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-88−2+25−2−252−25−2+252+25−2−252−252+250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-88−2−25−2+252+25−2−252−25−2+252+252−250000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-800−2+25−2−252−252−252+252+25−2+25−2−250000000000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-800−2−25−2+252+252+252−252−25−2−25−2+250000000000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000

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