Finite Group Databasebeta

← Group #12253883

Character table — Group #12253883

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size112222222222222222244444444444444444444444444444448888888888888888888816161616161616161616161616161616161616162020202020202020202020202020202080808080
order12222444455881010101010102244888888810101010202020202020202040404040404040401010101020202020404040404040404040404040228810101010101010104040404040404040161616161616161616161616161616162488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-1-1-1-1111111-1-1-1-1111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ10111-1-1-1-1111111-1-1-1-1111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ11111-1-1-1-1111111-1-1-1-1111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ12111-1-1-1-1111111-1-1-1-1111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ13111-1-1-1-1111111-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ14111-1-1-1-1111111-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ15111-1-1-1-1111111-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ16111-1-1-1-1111111-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ1722222222222-2-22222222222-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222222-2-2222222-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ20222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2-2-2−1+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+52−1−52−1−52−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ22222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2-2-2−1+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+52−1−52−1−52−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ24222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ25222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-22222−1+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+521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ26222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-22222−1+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+521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ27222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ28222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ29222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ30222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+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+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ32222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+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+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ33222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-22222−1−52−1+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+521−521−521+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ34222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-22222−1−52−1+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+521−521−521+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ3522222-2-2-2-2220022222200000002i−2i2i−2i2222-2-2-2-2-2-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000
χ3622222-2-2-2-2220022222200000002i−2i2i−2i2222-2-2-2-2-2-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000
χ3722222-2-2-2-222002222220000000−2i2i−2i2i2222-2-2-2-2-2-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000
χ3822222-2-2-2-222002222220000000−2i2i−2i2i2222-2-2-2-2-2-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000
χ39222-2-222-2-22200-2-2-2-22200000002i−2i−2i2i22-2-22222-2-2-2-2000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000
χ40222-2-222-2-22200-2-2-2-22200000002i−2i−2i2i22-2-22222-2-2-2-2000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000
χ41222-2-222-2-22200-2-2-2-2220000000−2i2i2i−2i22-2-22222-2-2-2-200000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000
χ42222-2-222-2-22200-2-2-2-2220000000−2i2i2i−2i22-2-22222-2-2-2-200000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000
χ43222-2-2-2-22222-2-2-2-2-2-2222-22-2-222-2-22222-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000
χ44222-2-2-2-22222-2-2-2-2-2-222-22-22-22222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-222-2-222-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ45222-2-2-2-222−1+52−1−52221−521−521+521+52−1+52−1−522-22-22-2-222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ46222-2-2-2-222−1+52−1−52221−521−521+521+52−1+52−1−522-22-22-2-222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ47222-2-2-2-222−1+52−1−52221−521−521+521+52−1+52−1−52-22-222-2-2-2-222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ48222-2-2-2-222−1+52−1−52221−521−521+521+52−1+52−1−52-22-222-2-2-2-222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ49222-2-2-2-222−1+52−1−52-2-21−521−521+521+52−1+52−1−522-22-2-222-2-222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ50222-2-2-2-222−1+52−1−52-2-21−521−521+521+52−1+52−1−522-22-2-222-2-222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ51222-2-2-2-222−1+52−1−52-2-21−521−521+521+52−1+52−1−52-22-22-22222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ52222-2-2-2-222−1+52−1−52-2-21−521−521+521+52−1+52−1−52-22-22-22222-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ53222-2-2-2-222−1−52−1+52221+521+521−521−52−1−52−1+522-22-22-2-222-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ54222-2-2-2-222−1−52−1+52221+521+521−521−52−1−52−1+522-22-22-2-222-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ55222-2-2-2-222−1−52−1+52221+521+521−521−52−1−52−1+52-22-222-2-2-2-222−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ56222-2-2-2-222−1−52−1+52221+521+521−521−52−1−52−1+52-22-222-2-2-2-222−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ57222-2-2-2-222−1−52−1+52-2-21+521+521−521−52−1−52−1+522-22-2-222-2-222−1−52−1+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+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ58222-2-2-2-222−1−52−1+52-2-21+521+521−521−52−1−52−1+522-22-2-222-2-222−1−52−1+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+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ59222-2-2-2-222−1−52−1+52-2-21+521+521−521−52−1−52−1+52-22-22-22222-2-2−1−52−1+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+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ60222-2-2-2-222−1−52−1+52-2-21+521+521−521−52−1−52−1+52-22-22-22222-2-2−1−52−1+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+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ6122-22-22-22-222222222220000-22-20000-2-2-2-22-22-22-22-22222222200000000-2-2-2-200000000000000000000000000002-22-22-22-2000000000000
χ6222-22-22-22-222222222220000-22-20000-2-2-2-22-22-22-22-22222222200000000-2-2-2-20000000000000000000000000000-22-22-22-22000000000000
χ6322-22-22-22-222-2-222222200002-220000-2-2-2-22-22-22-22-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ6422-22-22-22-222-2-222222200002-220000-2-2-2-22-22-22-22-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ6522-22-2-22-22220022222222-2-20000000-2-2-2-2-22-22-22-22000000002222-2-2-2-2000000000000000000000000000000002−2−222−2−222−2−222−2−220000
χ6622-22-2-22-22220022222222-2-20000000-2-2-2-2-22-22-22-22000000002222-2-2-2-200000000000000000000000000000000−222−2−222−2−222−2−222−20000
χ6722-22-2-22-222200222222-2-2220000000-2-2-2-2-22-22-22-2200000000-2-2-2-22222000000000000000000000000000000002−2−222−2−22−222−2−222−20000
χ6822-22-2-22-222200222222-2-2220000000-2-2-2-2-22-22-22-2200000000-2-2-2-2222200000000000000000000000000000000−222−2−222−22−2−222−2−220000
χ6922-2-222-2-222200-2-2-2-2222-2-220000000-2-2222-22-2-22-220000000022-2-2-2-222000000000000000000000000000000002−2−22−222−22−2−22−222−20000
χ7022-2-222-2-222200-2-2-2-2222-2-220000000-2-2222-22-2-22-220000000022-2-2-2-22200000000000000000000000000000000−222−22−2−22−222−22−2−220000
χ7122-2-222-2-222200-2-2-2-222-222-20000000-2-2222-22-2-22-2200000000-2-22222-2-2000000000000000000000000000000002−2−22−222−2−222−22−2−220000
χ7222-2-222-2-222200-2-2-2-222-222-20000000-2-2222-22-2-22-2200000000-2-22222-2-200000000000000000000000000000000−222−22−2−222−2−22−222−20000
χ7322-2-22-222-22222-2-2-2-2220000-2-220000-2-222-22-222-22-22222-2-2-2-200000000-2-22200000000000000000000000000002-22-2-22-22000000000000
χ7422-2-22-222-22222-2-2-2-2220000-2-220000-2-222-22-222-22-22222-2-2-2-200000000-2-2220000000000000000000000000000-22-222-22-2000000000000
χ7522-2-22-222-222-2-2-2-2-2-222000022-20000-2-222-22-222-22-2-2-2-2-222220000000022-2-20000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000
χ7622-2-22-222-222-2-2-2-2-2-222000022-20000-2-222-22-222-22-2-2-2-2-222220000000022-2-2000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000
χ7744444-4-4-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−500000004i−4i4i−4i−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ7844444-4-4-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−50000000−4i4i−4i4i−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ7944444-4-4-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+500000004i−4i4i−4i−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ8044444-4-4-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+50000000−4i4i−4i4i−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ81444-4-444-4-4−1+5−1−5001−51−51+51+5−1+5−1−500000004i−4i−4i4i−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ82444-4-444-4-4−1+5−1−5001−51−51+51+5−1+5−1−50000000−4i4i4i−4i−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ83444-4-444-4-4−1−5−1+5001+51+51−51−5−1−5−1+500000004i−4i−4i4i−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ84444-4-444-4-4−1−5−1+5001+51+51−51−5−1−5−1+50000000−4i4i4i−4i−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ8544-44-44-44-4−1+5−1−544−1+5−1+5−1−5−1−5−1+5−1−50000-44-400001−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5000000001−51+51−51+5000000000000000000000000000000000000000000000000
χ8644-44-44-44-4−1+5−1−5-4-4−1+5−1+5−1−5−1−5−1+5−1−500004-4400001−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51−51+51+51−51−51+51+500000000−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000
χ8744-44-44-44-4−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1+50000-44-400001+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5000000001+51−51+51−5000000000000000000000000000000000000000000000000
χ8844-44-44-44-4−1−5−1+5-4-4−1−5−1−5−1+5−1+5−1−5−1+500004-4400001+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51+51−51−51+51+51−51−500000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ8944-44-4-44-44−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−544-4-400000001−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000−1+5−1−5−1+5−1−51−51+51−51+50000000000000000000000000000000000000000000000000000
χ9044-44-4-44-44−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−5-4-44400000001−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−5000000001−51+51−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000
χ9144-44-4-44-44−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+544-4-400000001+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000−1−5−1+5−1−5−1+51+51−51+51−50000000000000000000000000000000000000000000000000000
χ9244-44-4-44-44−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+5-4-44400000001+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+5000000001+51−51+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000
χ9344-4-444-4-44−1+5−1−5001−51−51+51+5−1+5−1−54-4-4400000001−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−500000000−1+5−1−51−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000000000
χ9444-4-444-4-44−1+5−1−5001−51−51+51+5−1+5−1−5-444-400000001−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000001−51+5−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000
χ9544-4-444-4-44−1−5−1+5001+51+51−51−5−1−5−1+54-4-4400000001+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000−1−5−1+51+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ9644-4-444-4-44−1−5−1+5001+51+51−51−5−1−5−1+5-444-400000001+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000001+51−5−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000
χ9744-4-44-444-4−1+5−1−5441−51−51+51+5−1+5−1−50000-4-4400001−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51−51+51+5000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ9844-4-44-444-4−1+5−1−5-4-41−51−51+51+5−1+5−1−5000044-400001−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000
χ9944-4-44-444-4−1−5−1+5441+51+51−51−5−1−5−1+50000-4-4400001+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51+51−51−5000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ10044-4-44-444-4−1−5−1+5-4-41+51+51−51−5−1−5−1+5000044-400001+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000−1−5−1+51+51−5000000000000000000000000000000000000000000000000
χ1018-800000008842−420000-8-80000000000000000000000042−4242−420000000000000000000000000000000000000000000000000000000000000000
χ1028-8000000088−42420000-8-800000000000000000000000−4242−42420000000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2+25−2−2542−424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+2500000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2+25−2−2542−42−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+2500000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ1058-80000000−2+25−2−25−42424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ1068-80000000−2+25−2−25−4242−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ1078-80000000−2−25−2+2542−42−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000
χ1088-80000000−2−25−2+2542−424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000
χ1098-80000000−2−25−2+25−4242−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−2500000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000
χ1108-80000000−2−25−2+25−42424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−2500000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000

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