Finite Group Databasebeta

← Group #12018359

Character table — Group #12018359

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222222222444444444444444444888888888888888888888888888888888888881616161616161616161616161616168080808080808080
order1224455101020202020222444101010101010202020202020224488101010101010101010101010202020202020202020202020404040404040404044820202020202020204040404044448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-11-11-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-11-1111-1-1
χ922222222222222-2-2-22-222-2-2-2-2-2-2-2-22200000022-2-20000000022-2-20000000000000000000000000000000020-20000
χ1022222222222222-2-2-22-222-2-2-2-2-2-2-2-22200000022-2-20000000022-2-200000000000000000000000000000000-2020000
χ112222222222222-22-2-2-2222-2-2-2-2-2-2-2-222000000-2-22200000000-2-222000000000000000000000000000000020-200000
χ122222222222222-22-2-2-2222-2-2-2-2-2-2-2-222000000-2-22200000000-2-2220000000000000000000000000000000-20200000
χ132222222222222-2-222-2-2222222222222000022-2-2-2-200000000-2-2-2-2000000002222222200-200000000-2-2-2-200000000
χ142222222222222-2-222-2-22222222222220000-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-200200000000222200000000
χ1522222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1622222−1+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+52−1−522222-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-21−521−521−521−521+521+521+521+521−521−521+521+5200000000
χ1722222−1+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+52−1−52-2-2-2-222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000
χ1822222−1+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+52−1−52-2-2-2-2-2-2−1+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+521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5200000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000221−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+5200000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000221−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+5200000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-21−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52002−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−5200000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-21−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52002ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−5200000000
χ2322222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ2422222−1−52−1+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+522222-2-2−1−52−1+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+521+521+521+521+521−521−521−521−52-2-2-21+521+521+521+521−521−521−521−521+521+521−521−5200000000
χ2522222−1−52−1+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+52-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000000
χ2622222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5200000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000221+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−5200000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000221+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−5200000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-21+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52002ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+5200000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-21+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52002−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+5200000000
χ31222-2-22222-2-2-2-222-22-2-222-2-2-2-22222-2-2000000222200000000-2-2-2-200000000000000002i−2i02i−2i2i−2i2i−2i2i−2i000000000000
χ32222-2-22222-2-2-2-222-22-2-222-2-2-2-22222-2-2000000222200000000-2-2-2-20000000000000000−2i2i0−2i2i−2i2i−2i2i−2i2i000000000000
χ33222-2-22222-2-2-2-22-22-2-22222222-2-2-2-2-2-200000022-2-200000000-2-222000000000000000000000000000000000002-200
χ34222-2-22222-2-2-2-22-22-2-22222222-2-2-2-2-2-200000022-2-200000000-2-22200000000000000000000000000000000000-2200
χ35222-2-22222-2-2-2-2-222-22-2222222-2-2-2-2-2-2000000-2-2220000000022-2-200000000000000000000000000000000000002-2
χ36222-2-22222-2-2-2-2-222-22-2222222-2-2-2-2-2-2000000-2-2220000000022-2-20000000000000000000000000000000000000-22
χ37222-2-22222-2-2-2-2-2-2-222222-2-2-2-22222-2-22-22-200-2-2-2-22-22-22-22-222222-22-22-22-20000000000000000000000000000000
χ38222-2-22222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-22-2200-2-2-2-2-22-22-22-222222-22-22-22-220000000000000000000000000000000
χ39222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52000000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ142i−2i0−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000
χ40222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52000000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−2i2i0ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000
χ41222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52000000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−2i2i0ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000
χ42222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52000000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ142i−2i0−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000
χ43222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+522-22-2001−521+521−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000
χ44222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+522-22-2001−521+521−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000
χ45222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52-22-22001−521+521−521+521−52−1+521−52−1+521+52−1−521+52−1−52−1+52−1−52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000
χ46222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52-22-22001−521+521−521+521−52−1+521−52−1+521+52−1−521+52−1−52−1+52−1−52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000
χ47222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52000000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−2i2i0ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000
χ48222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52000000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ382i−2i0−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000
χ49222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52000000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ382i−2i0−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000
χ50222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52000000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−2i2i0ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000
χ51222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−522-22-2001+521−521+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000
χ52222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−522-22-2001+521−521+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000
χ53222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-22-22001+521−521+521−521+52−1−521+52−1−521−52−1+521−52−1+52−1−52−1+52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000
χ54222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-22-22001+521−521+521−521+52−1−521+52−1−521−52−1+521−52−1+52−1−52−1+52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000
χ5544444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-4-4-44-4−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5000000−1+5−1−51−51+500000000−1+5−1−51−51+5000000000000000000000000000000000000000
χ5644444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-4-4-44−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−50000001−51+5−1+5−1−5000000001−51+5−1+5−1−5000000000000000000000000000000000000000
χ5744444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-4-4-44-4−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5000000−1−5−1+51+51−500000000−1−5−1+51+51−5000000000000000000000000000000000000000
χ5844444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-4-4-44−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+50000001+51−5−1−5−1+5000000001+51−5−1−5−1+5000000000000000000000000000000000000000
χ59444-4-4−1+5−1−5−1+5−1−51−51−51+51+54-44-4-44−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+5000000−1+5−1−51−51+5000000001−51+5−1+5−1−5000000000000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-444-44-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+50000001−51+5−1+5−1−500000000−1+5−1−51−51+5000000000000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1+51+51+51−51−54-44-4-44−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−5000000−1−5−1+51+51−5000000001+51−5−1−5−1+5000000000000000000000000000000000000000
χ62444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-444-44-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−50000001+51−5−1−5−1+500000000−1−5−1+51+51−5000000000000000000000000000000000000000
χ6344-44-444444444000000-4-400000000-4-42-2-220000002-22-22-22-20000-22-22-22-220000000000000000000000000000000
χ6444-44-444444444000000-4-400000000-4-4-222-2000000-22-22-22-2200002-22-22-22-20000000000000000000000000000000
χ6544-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52-2-22000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000000000000000000
χ6644-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-222-20000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000000000000000000
χ6744-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52-2-22000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000000000000000000
χ6844-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-222-20000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000000000000000000
χ6944-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52-2-22000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000000000000000000
χ7044-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-222-20000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000000000000000000
χ7144-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52-2-22000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000000000000000000
χ7244-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-222-20000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000000000000000000
χ7344-4-444444-4-4-4-4000000-4-4000000004422-2-2000000222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000
χ7444-4-444444-4-4-4-4000000-4-40000000044-2-222000000-2-2-2-2-2-2-2-20000222222220000000000000000000000000000000
χ7544-4-44−1+5−1−5−1+5−1−51−51−51+51+50000001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−522-2-2000000−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ400002ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ40000000000000000000000000000000
χ7644-4-44−1+5−1−5−1+5−1−51−51−51+51+50000001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−5-2-2220000002ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ40000−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ40000000000000000000000000000000
χ7744-4-44−1+5−1−5−1+5−1−51−51−51+51+50000001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−522-2-2000000−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ3600002ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ360000000000000000000000000000000
χ7844-4-44−1+5−1−5−1+5−1−51−51−51+51+50000001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5-2-2220000002ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ360000−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ360000000000000000000000000000000
χ7944-4-44−1−5−1+5−1−5−1+51+51+51−51−50000001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+522-2-2000000−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ1200002ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ120000000000000000000000000000000
χ8044-4-44−1−5−1+5−1−5−1+51+51+51−51−50000001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5-2-2220000002ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ120000−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ120000000000000000000000000000000
χ8144-4-44−1−5−1+5−1−5−1+51+51+51−51−50000001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+522-2-2000000−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ2800002ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ280000000000000000000000000000000
χ8244-4-44−1−5−1+5−1−5−1+51+51+51−51−50000001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5-2-2220000002ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ280000−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ280000000000000000000000000000000
χ838-800088-8-80000000000000000000000000022−2200000000000000000000000022−2222−2222−2222−2200000000000000000000000
χ848-800088-8-800000000000000000000000000−2222000000000000000000000000−2222−2222−2222−222200000000000000000000000
χ858-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14000000000000000000000022−22000000000000000000000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ3100000000000000000000000
χ868-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000000000000000000−22220000000000000000000000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ3100000000000000000000000
χ878-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14000000000000000000000022−22000000000000000000000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ3900000000000000000000000
χ888-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000000000000000000−22220000000000000000000000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ3900000000000000000000000
χ898-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38000000000000000000000022−220000000000000000000000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ1300000000000000000000000
χ908-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000000000000000000−2222000000000000000000000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ1300000000000000000000000
χ918-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38000000000000000000000022−220000000000000000000000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ3700000000000000000000000
χ928-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000000000000000000−2222000000000000000000000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ3700000000000000000000000

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