Finite Group Databasebeta

← Group #12019610

Character table — Group #12019610

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244444444448888888888888888888888881616161616161616161616161616161616161616161616162020202020202020808080808080
order1244245510102020202024444410102020224410101010101020202020202020202020202020204444101020202020202020202020202020202020202088888888244444
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
χ5111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1ii−i−i
χ6111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−i−iii
χ7111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−i−iii
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111ii−i−i
χ911-1-11-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ1011-1-11-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11
χ1111-1-11-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11
χ1211-1-11-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1
χ1311-1-11-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11i−i−ii
χ1411-1-11-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1−iii−i
χ1511-1-11-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11−iii−i
χ1611-1-11-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1i−i−ii
χ17222222222222222-2-2-2-2222222-22-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000
χ18222222222222222-2-2-2-222222-22-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000
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+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522i2i−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+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−2i−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+52−1−522-22-2−1+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+5200001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
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+52−1−522-22-2−1+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+5200001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
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+52−1−52-22-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
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+52−1−52-22-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
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+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+522-22-2−1−52−1+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+521−521−5200001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
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+522-22-2−1−52−1+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+521−521−5200001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
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+52-22-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
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+52-22-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ3522-2-22-22222-2-2-2-2-2-2-222222-2-22-2-22-2-2222222-2-2-2-2-2-2-2-222220000-2-222000000000000000000000000000000
χ3622-2-22-22222-2-2-2-2-2-2-222222-2-2-222-2-2-2-2-2-2-2222222-2-2-2-22222000022-2-2000000000000000000000000000000
χ3722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+5222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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
χ3822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+5222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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
χ3922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+52-2-2221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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
χ4022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+52-2-2221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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
χ4122-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521+522-2-221−521+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+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ4222-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521+522-2-221−521+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+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ4322-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521+52-222-21−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ4422-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2222−1+52−1−521−521+52-222-21−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ4522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−5222-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1+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
χ4622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−5222-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-22−1−52−1+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
χ4722-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−52-2-2221+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+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
χ4822-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−52-2-2221+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+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
χ4922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521−522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ5022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521−522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ5122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521−52-222-21+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ5222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2222−1−52−1+521+521−52-222-21+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ5344444444444444-40000-444440000-4-40000-4-400000000000000000000000000000000000000000000000000
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+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
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+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
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+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
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+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ584444-4-444444444000000-4-4-4-400000000000000000000000000000000000000000000000022-2-222-2-2000000
χ594444-4-444444444000000-4-4-4-4000000000000000000000000000000000000000000000000-2-222-2-222000000
χ6044-4-44-44444-4-4-4-440000-444-4-40000440000-4-400000000000000000000000000000000000000000000000000
χ6144-4-44-4−1+5−1−5−1+5−1−51−51−51+51+540000-4−1+5−1−51−51+50000−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ6244-4-44-4−1+5−1−5−1+5−1−51−51−51+51+540000-4−1+5−1−51−51+50000−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ6344-4-44-4−1−5−1+5−1−5−1+51+51+51−51−540000-4−1−5−1+51+51−50000−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ6444-4-44-4−1−5−1+5−1−5−1+51+51+51−51−540000-4−1−5−1+51+51−50000−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ6544-4-4-444444-4-4-4-4000000-4-44400000000000000000000000000000000000000000000000022-2-2-2-222000000
χ6644-4-4-444444-4-4-4-4000000-4-444000000000000000000000000000000000000000000000000-2-22222-2-2000000
χ674-44i−4i0044-4-44i−4i4i−4i02-22i−2i0000000000000000000002-22-22i−2i2i−2i0000000000000000000000000022−22002i2−2i2000000
χ684-44i−4i0044-4-44i−4i4i−4i02-22i−2i0000000000000000000002-22-22i−2i2i−2i00000000000000000000000000−222200−2i22i2000000
χ694-44i−4i0044-4-44i−4i4i−4i0-22−2i2i000000000000000000000-22-22−2i2i−2i2i00000000000000000000000022−22002i2−2i200000000
χ704-44i−4i0044-4-44i−4i4i−4i0-22−2i2i000000000000000000000-22-22−2i2i−2i2i000000000000000000000000−222200−2i22i200000000
χ714-4−4i4i0044-4-4−4i4i−4i4i02-2−2i2i0000000000000000000002-22-2−2i2i−2i2i0000000000000000000000000022−2200−2i22i2000000
χ724-4−4i4i0044-4-4−4i4i−4i4i02-2−2i2i0000000000000000000002-22-2−2i2i−2i2i00000000000000000000000000−2222002i2−2i2000000
χ734-4−4i4i0044-4-4−4i4i−4i4i0-222i−2i000000000000000000000-22-222i−2i2i−2i00000000000000000000000022−2200−2i22i200000000
χ744-4−4i4i0044-4-4−4i4i−4i4i0-222i−2i000000000000000000000-22-222i−2i2i−2i000000000000000000000000−2222002i2−2i200000000
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
χ7788-8-8-88−2+25−2−25−2+25−2−252−252−252+252+250000002−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-88−2−25−2+25−2−25−2+252+252+252−252−250000002+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000
χ798-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1404-44i−4i000000000000000000000−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ808-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140-44−4i4i0000000000000000000001−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ818-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3804-44i−4i000000000000000000000−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ828-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380-44−4i4i0000000000000000000001+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ838-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1404-4−4i4i000000000000000000000−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ848-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140-444i−4i0000000000000000000001−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ858-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3804-4−4i4i000000000000000000000−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ868-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380-444i−4i0000000000000000000001+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000

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