Finite Group Databasebeta

← Group #11987079

Character table — Group #11987079

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244444444448888888888888888888888881616161616161616161616161616161616161616161616162020202020202020808080808080
order1222225510101010101044444410101010444420202020202020202020202020202020202020208888202020204040404040404040404040404040404088888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1ii−i−i
χ6111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−i−iii
χ7111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−i−iii
χ8111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111ii−i−i
χ91-11-1-1111-1-1-1-111111-1-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−ii−ii−ii−i
χ101-11-1-1111-1-1-1-111111-1-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−ii−ii−ii
χ111-11-1-1111-1-1-1-111111-1-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−ii−i−ii−ii
χ121-11-1-1111-1-1-1-111111-1-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−iii−ii−i
χ131-11-1-1111-1-1-1-111111-1-1-1-1-111-11-1111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii-111-1
χ141-11-1-1111-1-1-1-111111-1-1-1-1-111-11-1111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−i1-1-11
χ151-11-1-1111-1-1-1-111111-1-1-1-1-111-11-1111-1-111111111-1-1-1-1-1-1-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii1-1-11
χ161-11-1-1111-1-1-1-111111-1-1-1-1-111-11-1111-1-111111111-1-1-1-1-1-1-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i-111-1
χ17222222222222222-2-2-2-2222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000
χ18222222222222222-2-2-2-222222-222-222222222-2-2-2-2-2-2-2-222220000-2-2-2-2000000000000000000000000000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ21222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i2i−2i−2i1−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ22222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i−2i2i2i1−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ23222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−522-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ24222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−522-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ25222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−52-222-2−1+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+52−1−52−1−5200001−521+521−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ26222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−52-222-2−1+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+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i2i−2i−2i1+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i−2i2i2i1+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ31222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+522-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ32222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+522-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ33222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+52-222-2−1−52−1+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+5200001+521−521+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ34222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+52-222-2−1−52−1+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+5200001+521−521+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ352-22-2-2222-2-2-2-2222-2-222-2-2-22222-2-222-2-22222-2-2-2-22222-2-2-2-2000022-2-2000000000000000000000000000000
χ362-22-2-2222-2-2-2-2222-2-222-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2222222220000-2-222000000000000000000000000000000
χ372-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52222-2-2-21−521+52−1+52−1−522-22-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ382-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52222-2-2-21−521+52−1+52−1−522-22-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ392-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52222-2-2-21−521+52−1+52−1−52-22-22−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i−2i2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ402-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52222-2-2-21−521+52−1+52−1−52-22-22−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i2i2i−2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ412-22-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2-222-21−521+52−1+52−1−5222-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ422-22-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2-222-21−521+52−1+52−1−5222-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ432-22-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2-222-21−521+52−1+52−1−52-2-222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ442-22-2-22−1+52−1−521−521−521+521+52−1+52−1−522-2-222-21−521+52−1+52−1−52-2-222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ452-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52222-2-2-21+521−52−1−52−1+522-22-2−1−52−1+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+522-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ462-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52222-2-2-21+521−52−1−52−1+522-22-2−1−52−1+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+52-22-22−1−52−1+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+5200000000000000
χ472-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52222-2-2-21+521−52−1−52−1+52-22-22−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i−2i2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ482-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52222-2-2-21+521−52−1−52−1+52-22-22−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i2i−2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ492-22-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2-222-21+521−52−1−52−1+5222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ502-22-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2-222-21+521−52−1−52−1+5222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ512-22-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2-222-21+521−52−1−52−1+52-2-222−1−52−1+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+5200001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ522-22-2-22−1−52−1+521+521+521−521−52−1−52−1+522-2-222-21+521−52−1−52−1+52-2-222−1−52−1+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+5200001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ5344444444444444-40000-444440000-4-4-4-4000000000000000000000000000000000000000000000000000000
χ54444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40000-4−1+5−1−5−1+5−1−500001−51+51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ55444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40000-4−1+5−1−5−1+5−1−500001−51+51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ56444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40000-4−1−5−1+5−1−5−1+500001+51−51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ57444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40000-4−1−5−1+5−1−5−1+500001+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ584444-4-444444444000000-4-4-4-400000000000000000000000000000000000000000000000022-2-222-2-2000000
χ594444-4-444444444000000-4-4-4-4000000000000000000000000000000000000000000000000-2-222-2-222000000
χ6044-4-400444-44-4-4-402-22-2000000000000000002-22-22-22-200000000000000000000000000000022−220022−22000000
χ6144-4-400444-44-4-4-402-22-2000000000000000002-22-22-22-2000000000000000000000000000000−222200−2222000000
χ6244-4-400444-44-4-4-40-22-2200000000000000000-22-22-22-22000000000000000000000000000022−220022−2200000000
χ6344-4-400444-44-4-4-40-22-2200000000000000000-22-22-22-220000000000000000000000000000−222200−222200000000
χ644-44-44-444-4-4-4-44400000044-4-40000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000
χ654-44-44-444-4-4-4-44400000044-4-4000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000
χ664-44-4-4444-4-4-4-444-400004-4-4440000-4-444000000000000000000000000000000000000000000000000000000
χ674-44-4-44−1+5−1−51−51−51+51+5−1+5−1−5-4000041−51+5−1+5−1−500001−51+5−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ684-44-4-44−1+5−1−51−51−51+51+5−1+5−1−5-4000041−51+5−1+5−1−500001−51+5−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ694-44-4-44−1−5−1+51+51+51−51−5−1−5−1+5-4000041+51−5−1−5−1+500001+51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ704-44-4-44−1−5−1+51+51+51−51−5−1−5−1+5-4000041+51−5−1−5−1+500001+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ714-4-440044-44-44-4-402-2-22000000000000000002-22-2-22-220000000000000000000000000000002i2−2i200−2i22i2000000
χ724-4-440044-44-44-4-402-2-22000000000000000002-22-2-22-22000000000000000000000000000000−2i22i2002i2−2i2000000
χ734-4-440044-44-44-4-40-222-200000000000000000-22-222-22-200000000000000000000000000002i2−2i200−2i22i200000000
χ744-4-440044-44-44-4-40-222-200000000000000000-22-222-22-20000000000000000000000000000−2i22i2002i2−2i200000000
χ758888-8-8−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−250000002−252+252−252+2500000000000000000000000000000000000000000000000000000000000000
χ768888-8-8−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+250000002+252−252+252−2500000000000000000000000000000000000000000000000000000000000000
χ7788-8-800−2+25−2−25−2+252−25−2−252+252−252+2504-44-400000000000000000−1+51−5−1−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000
χ7888-8-800−2+25−2−25−2+252−25−2−252+252−252+250-44-44000000000000000001−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000
χ7988-8-800−2−25−2+25−2−252+25−2+252−252+252−2504-44-400000000000000000−1−51+5−1+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000
χ8088-8-800−2−25−2+25−2−252+25−2+252−252+252−250-44-44000000000000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000
χ818-88-88-8−2+25−2−252−252−252+252+25−2+25−2−25000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000
χ828-88-88-8−2−25−2+252+252+252−252−25−2−25−2+25000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000
χ838-8-8800−2+25−2−252−25−2+252+25−2−252−252+2504-4-4400000000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000
χ848-8-8800−2+25−2−252−25−2+252+25−2−252−252+250-444-4000000000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000
χ858-8-8800−2−25−2+252+25−2−252−25−2+252+252−2504-4-4400000000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000
χ868-8-8800−2−25−2+252+25−2−252−25−2+252+252−250-444-4000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000

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