Finite Group Databasebeta

← Group #11993292

Character table — Group #11993292

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222222222222222222224444444488888888888888888888888888888888888888888888888888888888888888888840404040404040404040404040404040
order1222222222225510101010101010101010101010101010101010101010101010101010101044444444444444444420202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020204444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ911-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1ii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−ii−ii−i11-1-111-1-1
χ1011-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1ii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−ii−ii−ii-1-111-1-111
χ1111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−ii−ii−ii−i-1-111-1-111
χ1211-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−ii−ii11-1-111-1-1
χ1311-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11ii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii11-1-1-1-111
χ1411-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11ii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i-1-11111-1-1
χ1511-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii-1-11111-1-1
χ1611-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i11-1-1-1-111
χ17222222222222222222222222222222222222222222222222-2-2-2-2-2-200000000222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222222222222222222222222222222222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-200000000−1+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−ζ361−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-200000000−1+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+ζ361−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-22222-2-2-2-21−521−521+521+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+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−520000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-222221−521−521+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+520000000000000000
χ25222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-222000000001−521−521+521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+521−521−521+521+52−1+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+ζ360000000000000000
χ26222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-222000000001−521−521+521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+521−521−521+521+52−1+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−ζ360000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222222222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-200000000−1−52−1−52−1+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−ζ281+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-200000000−1−52−1−52−1+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+ζ281+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-22222-2-2-2-21+521+521−521−521+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−520000000000000000
χ33222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-222000000001+521+521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+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+ζ280000000000000000
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χ1114-44-4-44-440000−1+5−1−51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−1+51−51−5−2ζ12+2ζ282ζ12−2ζ28−1−51+51+52ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5−1+5−1−50000000000-22-22000000000000000000000000000000000000000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ42ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000
χ1124-44-4-44-440000−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−1−51+51+5−2ζ4+2ζ362ζ4−2ζ36−1+51−51−5−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−1−5−1+500000000002-22-200000000000000000000000000000000000000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000
χ1134-44-4-44-440000−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−1−51+51+5−2ζ4+2ζ362ζ4−2ζ36−1+51−51−5−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−1−5−1+50000000000-22-22000000000000000000000000000000000000000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ282ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000
χ1144-44-4-44-440000−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−1−51+51+52ζ4−2ζ36−2ζ4+2ζ36−1+51−51−52ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5−1−5−1+500000000002-22-200000000000000000000000000000000000000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000
χ1154-44-4-44-440000−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−1−51+51+52ζ4−2ζ36−2ζ4+2ζ36−1+51−51−52ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5−1−5−1+50000000000-22-22000000000000000000000000000000000000000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ122ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000
χ1164-4-44-444-4000044-40000-40000-44400-44400-4-4000044-4-400000000002i−2i−2i2i000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000
χ1174-4-44-444-4000044-40000-40000-44400-44400-4-4000044-4-40000000000−2i2i2i−2i00000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000
χ1184-4-44-444-40000−1+5−1−51−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−1+5−1+5−2ζ12+2ζ282ζ12−2ζ281+5−1−5−1−52ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−51−51+500000000002i−2i−2i2i00000000000000000000000000000000000000000000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ62ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ60000000000000000
χ1194-4-44-444-40000−1+5−1−51−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−1+5−1+5−2ζ12+2ζ282ζ12−2ζ281+5−1−5−1−52ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−51−51+50000000000−2i2i2i−2i000000000000000000000000000000000000000000002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ60000000000000000
χ1204-4-44-444-40000−1+5−1−51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−5−1+5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−1−5−1−5−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−51−51+500000000002i−2i−2i2i00000000000000000000000000000000000000000000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ142ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ140000000000000000
χ1214-4-44-444-40000−1+5−1−51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−5−1+5−1+52ζ12−2ζ28−2ζ12+2ζ281+5−1−5−1−5−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−51−51+50000000000−2i2i2i−2i000000000000000000000000000000000000000000002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ140000000000000000
χ1224-4-44-444-40000−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+5−1−5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+5−1+52ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+51+51−500000000002i−2i−2i2i00000000000000000000000000000000000000000000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ382ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ380000000000000000
χ1234-4-44-444-40000−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ361−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+5−1−5−1−52ζ4−2ζ36−2ζ4+2ζ361−5−1+5−1+52ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+51+51−50000000000−2i2i2i−2i000000000000000000000000000000000000000000002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ380000000000000000
χ1244-4-44-444-40000−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+5−1−5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−1+5−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+51+51−500000000002i−2i−2i2i00000000000000000000000000000000000000000000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ222ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ220000000000000000
χ1254-4-44-444-40000−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ361−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+5−1−5−1−5−2ζ4+2ζ362ζ4−2ζ361−5−1+5−1+5−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+51+51−50000000000−2i2i2i−2i000000000000000000000000000000000000000000002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ220000000000000000
χ1264-4-4-44-4444-4-44−1+5−1−51−5−1+5−1+51−51−51+5−1−5−1−51+51+51−51−5−1+51−51−51+51+5−1−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+5−1+5−1−54-4-4400000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000
χ1274-4-4-44-4444-4-44−1+5−1−51−5−1+5−1+51−51−51+5−1−5−1−51+51+51−51−5−1+51−51−51+51+5−1−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+5−1+5−1−5-444-4000000000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-44-4444-4-44−1−5−1+51+5−1−5−1−51+51+51−5−1+5−1+51−51−51+51+5−1−51+51+51−51−5−1+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−5−1+54-4-4400000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-44-4444-4-44−1−5−1+51+5−1−5−1−51+51+51−5−1+5−1+51−51−51+51+5−1−51+51+51−51−5−1+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−5−1+5-444-4000000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-44-444-444-444-4-4-444-4-4-444-4-4444-4-444444-4-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-44-444-444-4−1+5−1−51−51−51−5−1+5−1+51+51+51+5−1−5−1−51−51−5−1+5−1+5−1+51+51+5−1−5−1−5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−500000000000000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000
χ1324-4-4-44-444-444-4−1+5−1−51−51−51−5−1+5−1+51+51+51+5−1−5−1−51−51−5−1+5−1+5−1+51+51+5−1−5−1−5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−5000000000000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000
χ1334-4-4-44-444-444-4−1−5−1+51+51+51+5−1−5−1−51−51−51−5−1+5−1+51+51+5−1−5−1−5−1−51−51−5−1+5−1+5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+5000000000000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000
χ1344-4-4-44-444-444-4−1−5−1+51+51+51+5−1−5−1−51−51−51−5−1+5−1+51+51+5−1−5−1−5−1−51−51−5−1+5−1+5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+500000000000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000

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