Finite Group Databasebeta

← Group #12012051

Character table — Group #12012051

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244888888888888888888888888888888888888888888888816161616161616161616161616168080808080808080
order1222225510101010101010101010101010104422222244441010101010101010101010101010101010101010101010102020202020202020202020204420202020202020202020202044888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1
χ9222222222222222222222222220000-2-2-2-22222222200000000000000002222-2-2-2-2-2-2-2-200-2-2-2-20000000000000000
χ10222222222222222222222222-2-2000022-2-2-2-2-2-2-2-2-2-2000000000000000022222222222200-2-2-2-20000000000000000
χ112222222222222222222222-2-2000022002-2000000000000000022222222-2-2-2-2000000000-222-2-20000-2-2-2-200000000
χ122222222222222222222222-2-20000-2-2002-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000000222-2-20000222200000000
χ132222222222222222222222-2-200220000-22000000002222222200000000-2-2-2-200000000-20-2-222-2-2-2-2000000000000
χ142222222222222222222222-2-200-2-20000-2200000000-2-2-2-2-2-2-2-200000000-2-2-2-20000000020-2-2222222000000000000
χ15222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222220000-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ16222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222220000-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222222222−1+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+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+52−1−52−1−5200000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2000022-2-21−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−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+52−1−52−1−52−1−52−1−52001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2000022-2-21−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−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+52−1−52−1−52−1−52−1−52001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-222-2-2-2-2221−521−521−521−521+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+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-222-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2000022002-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360-2−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+5200000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2000022002-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360-2−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+5200000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-20000-2-2002-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3602−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−5200000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-20000-2-2002-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3602−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−5200000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-200220000-22ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-201−521+52−1+52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-200220000-22−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-201−521+52−1+52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ29222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-200-2-20000-22ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+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+ζ36201−521+52−1+52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ30222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-200-2-20000-22−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+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−ζ36201−521+52−1+52−1−52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ31222222−1−52−1+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+5222220000-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ32222222−1−52−1+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+5222220000-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ33222222−1−52−1+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+52222222222222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5200000000
χ34222222−1−52−1+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+522222-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+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+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000
χ35222222−1−52−1+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+5222-2-2000022-2-21+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ36222222−1−52−1+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+5222-2-2000022-2-21+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ37222222−1−52−1+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+5222-2-222-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ38222222−1−52−1+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+5222-2-2-2-222-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ39222222−1−52−1+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+52-2-2000022002-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−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+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280-2−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−5200000000
χ40222222−1−52−1+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+52-2-2000022002-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−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+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280-2−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−5200000000
χ41222222−1−52−1+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+52-2-20000-2-2002-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2802−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+5200000000
χ42222222−1−52−1+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+52-2-20000-2-2002-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2802−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+5200000000
χ43222222−1−52−1+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+52-2-200220000-22−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+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-201+521−52−1−52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ44222222−1−52−1+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+52-2-200220000-22ζ4−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+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-201+521−52−1−52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ45222222−1−52−1+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+52-2-200-2-20000-22−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52ζ4−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+ζ28201+521−52−1−52−1+52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ46222222−1−52−1+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+52-2-200-2-20000-22ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52−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−ζ28201+521−52−1−52−1+52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ4722-2-2-2222-2-22-2-22-2-222-222-22-22-2000000002-22-22-22-200000000000000002-22-200000000000000000000000000i2−i2i2−i2
χ4822-2-2-2222-2-22-2-22-2-222-222-22-22-2000000002-22-22-22-200000000000000002-22-200000000000000000000000000−i2i2−i2i2
χ4922-2-2-2222-2-22-2-22-2-222-222-22-2-2200000000-22-22-22-2200000000000000002-22-200000000000000000000000000i2−i2−i2i2
χ5022-2-2-2222-2-22-2-22-2-222-222-22-2-2200000000-22-22-22-2200000000000000002-22-200000000000000000000000000−i2i2i2−i2
χ514444-4-444444-4-44-4-4-4-44-4-44000000000000000000000000000000000000000000000000000000000000002-2000000
χ524444-4-444444-4-44-4-4-4-44-4-4400000000000000000000000000000000000000000000000000000000000000-22000000
χ5344-4-44-444-4-4444444-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000002i−2i0000
χ5444-4-44-444-4-4444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000−2i2i0000
χ5544-4-4-4444-4-44-4-44-4-444-444-4-440000000000000000000000000000000000-44-44000000000000000000000000000000
χ5644-4-4-44−1+5−1−51−51+5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+54-44-400000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000−1+51−5−1−51+5000000000000000000000000000000
χ5744-4-4-44−1+5−1−51−51+5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+54-4-44000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000
χ5844-4-4-44−1+5−1−51−51+5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+5-4400000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000001−5−1+51+5−1−5000000000000000000000000000000
χ5944-4-4-44−1+5−1−51−51+5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+5-440000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000001−5−1+51+5−1−5000000000000000000000000000000
χ6044-4-4-44−1−5−1+51+51−5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−54-44-400000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000−1−51+5−1+51−5000000000000000000000000000000
χ6144-4-4-44−1−5−1+51+51−5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−54-4-44000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000
χ6244-4-4-44−1−5−1+51+51−5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−5-440000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000001+5−1−51−5−1+5000000000000000000000000000000
χ6344-4-4-44−1−5−1+51+51−5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−5-4400000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000001+5−1−51−5−1+5000000000000000000000000000000
χ644-4-440044-4-4-400-40000400400002-22-22-200000000002-22-22-22-22-22-22-22-200002-22-22-22-20000000000000000000000
χ654-4-440044-4-4-400-40000400400002-2-22-2200000000002-22-22-22-2-22-22-22-220000-22-22-22-220000000000000000000000
χ664-4-440044-4-4-400-4000040040000-222-2-220000000000-22-22-22-222-22-22-22-20000-22-22-22-220000000000000000000000
χ674-4-440044-4-4-400-4000040040000-22-222-20000000000-22-22-22-22-22-22-22-2200002-22-22-22-20000000000000000000000
χ684-4-4400−1+5−1−51−51+51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−500002-22-22-20000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000000000
χ694-4-4400−1+5−1−51−51+51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−500002-2-22-220000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ362ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000000000
χ704-4-4400−1+5−1−51−51+51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−50000-222-2-2200000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ36−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000000000
χ714-4-4400−1+5−1−51−51+51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−50000-22-222-200000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000000000
χ724-4-4400−1+5−1−51−51+51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−500002-22-22-20000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000000000
χ734-4-4400−1+5−1−51−51+51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−500002-2-22-220000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ42ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000000000
χ744-4-4400−1+5−1−51−51+51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−50000-222-2-2200000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ4−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000000000
χ754-4-4400−1+5−1−51−51+51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−50000-22-222-200000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000000000
χ764-4-4400−1−5−1+51+51−51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+500002-22-22-20000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000000000
χ774-4-4400−1−5−1+51+51−51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+500002-2-22-220000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ282ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000000000
χ784-4-4400−1−5−1+51+51−51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+50000-222-2-2200000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000000000
χ794-4-4400−1−5−1+51+51−51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+50000-22-222-200000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000000000
χ804-4-4400−1−5−1+51+51−51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+500002-22-22-20000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000000000
χ814-4-4400−1−5−1+51+51−51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+500002-2-22-220000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ122ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000000000
χ824-4-4400−1−5−1+51+51−51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+50000-222-2-2200000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000000000
χ834-4-4400−1−5−1+51+51−51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+50000-22-222-200000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000000000
χ848888-8-8−2+25−2−25−2+25−2−25−2+252−252−25−2−252+252+252−252−25−2+252+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
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χ8688-8-88-8−2+25−2−252−252+25−2+25−2+25−2+25−2−25−2−25−2−252−252−252−252+252+252+250000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-88-8−2−25−2+252+252−25−2−25−2−25−2−25−2+25−2+25−2+252+252+252+252−252−252−250000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8008888-800-80000-800-80000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800−2+25−2−25−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282−254ζ4−4ζ36−4ζ4+4ζ362+250000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800−2+25−2−25−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282−25−4ζ4+4ζ364ζ4−4ζ362+250000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800−2−25−2+25−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362+254ζ12−4ζ28−4ζ12+4ζ282−250000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800−2−25−2+25−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362+25−4ζ12+4ζ284ζ12−4ζ282−250000000000000000000000000000000000000000000000000000000000000000000000

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