Finite Group Databasebeta

← Group #12016089

Character table — Group #12016089

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244444444448888888888888888888888881616161616161616161616161616161616161616161616164040404040404040404040408080
order1244245510102020202022244410102020888810101010101020202020202040404040404040408888404040404040404040404040404040404040404024448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-11111-1-1-1-11-11-11-111-1-1i−ii−i1111-1-1-1-111-1-1iiii−i−i−i−ii−i1-1ii−i−iiiii−i−i−i−i1111-1-1-1-11-11-1i−iii−i−ii−i1-1
χ1011-1-11-11111-1-1-1-11-11-11-111-1-1i−ii−i1111-1-1-1-111-1-1iiii−i−i−i−ii−i1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−ii−i−iii−ii-11
χ1111-1-11-11111-1-1-1-11-11-11-111-1-1i−ii−i1111-1-1-1-111-1-1iiii−i−i−i−i−ii-11ii−i−i−i−i−i−iiiii-1-1-1-111111-11-1i−i−i−iiii−i-11
χ1211-1-11-11111-1-1-1-11-11-11-111-1-1i−ii−i1111-1-1-1-111-1-1iiii−i−i−i−i−ii-11ii−i−i−i−i−i−iiiii-1-1-1-11111-11-11−iiii−i−i−ii1-1
χ1311-1-11-11111-1-1-1-11-11-11-111-1-1−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiiii−i-11−i−iiiiiii−i−i−i−i-1-1-1-111111-11-1−iiii−i−i−ii-11
χ1411-1-11-11111-1-1-1-11-11-11-111-1-1−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiiii−i-11−i−iiiiiii−i−i−i−i-1-1-1-11111-11-11i−i−i−iiii−i1-1
χ1511-1-11-11111-1-1-1-11-11-11-111-1-1−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiii−ii1-1−i−iii−i−i−i−iiiii1111-1-1-1-11-11-1−ii−i−iii−ii1-1
χ1611-1-11-11111-1-1-1-11-11-11-111-1-1−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiii−ii1-1−i−iii−i−i−i−iiiii1111-1-1-1-1-11-11i−iii−i−ii−i-11
χ17222222222222222-2-2-2-222222000022-2-2-2-2-2-2-2-2220000000000000000000000000000000022-2-20000000000
χ18222222222222222-2-2-2-222222000022-2-2-2-2-2-2-2-22200000000000000000000000000000000-2-2220000000000
χ1922222222222222-22-2-22-222220000-2-2-2-222-2-222-2-2000000000000000000000000000000000000220000-2-200
χ2022222222222222-22-2-22-222220000-2-2-2-222-2-222-2-2000000000000000000000000000000000000-2-200002200
χ2122222222222222-2-222-2-2222222-2-2-2-222-2-222-2-2-2-2222222220000-2-2-2-2000000000000000000000000000000
χ2222222222222222-2-222-2-22222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000
χ23222222−1+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
χ24222222−1+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
χ25222222−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-21−521+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+5200000000000000
χ26222222−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−5222-2-21−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+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
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−5222-2-21−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+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
χ29222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52-2-2221−521+52−1+52−1−521−521+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−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ30222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52-2-2221−521+52−1+52−1−521−521+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+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ31222222−1−52−1+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
χ32222222−1−52−1+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
χ33222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-21+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+521−521−5200000000000000
χ34222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+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+5200000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+5222-2-21+521−52−1−52−1+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+5200001+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+5222-2-21+521−52−1−52−1+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+5200001+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ37222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52-2-2221+521−52−1−52−1+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+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ38222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52-2-2221+521−52−1−52−1+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−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ3922-2-22-22222-2-2-2-222-22-2-222-2-2000022-2-22222-2-2-2-2000000000000000000000000000000002-2-220000000000
χ4022-2-22-22222-2-2-2-222-22-2-222-2-2000022-2-22222-2-2-2-200000000000000000000000000000000-222-20000000000
χ4122-2-22-22222-2-2-2-2-222-2-2222-2-22i−2i−2i2i-2-22222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000−2i−2i2i2i000000000000000000000000000000
χ4222-2-22-22222-2-2-2-2-222-2-2222-2-2−2i2i2i−2i-2-22222-2-2-2-222−2i−2i−2i−2i2i2i2i2i00002i2i−2i−2i000000000000000000000000000000
χ4322-2-22-22222-2-2-2-2-2-2-222222-2-20000-2-2-2-2-2-22222220000000000000000000000000000000000002i−2i0000−2i2i00
χ4422-2-22-22222-2-2-2-2-2-2-222222-2-20000-2-2-2-2-2-2222222000000000000000000000000000000000000−2i2i00002i−2i00
χ4522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522-22-22-2−1+52−1−521−521+522i−2i2i−2i−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ142i−2i2-2−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+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+522-22-22-2−1+52−1−521−521+522i−2i2i−2i−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−2i2i-22−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521−521+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+522-22-22-2−1+52−1−521−521+52−2i2i−2i2i−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ142i−2i-22ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ4822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522-22-22-2−1+52−1−521−521+52−2i2i−2i2i−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−2i2i2-2ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ4922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+522i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ5022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+522i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ5122-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+52−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ5222-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22−1+52−1−521−521+52−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ5322-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-2−1−52−1+521+521−522i−2i2i−2i−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ382i−2i2-2−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ5422-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-2−1−52−1+521+521−522i−2i2i−2i−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−2i2i-22−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ5522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-2−1−52−1+521+521−52−2i2i−2i2i−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ382i−2i-22ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ5622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-2−1−52−1+521+521−52−2i2i−2i2i−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−2i2i2-2ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ5722-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−522i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ5822-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−522i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ5922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−52−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ6022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22−1−52−1+521+521−52−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ61444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-4-4-4-44−1+5−1−5−1+5−1−50000−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-4-44-4−1+5−1−5−1+5−1−500001−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-4-4-4-44−1−5−1+5−1−5−1+50000−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-4-44-4−1−5−1+5−1−5−1+500001+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ654444-4-444444444000000-4-4-4-40000000000000000000000000000000000000000000000000000002-22-20000
χ664444-4-444444444000000-4-4-4-4000000000000000000000000000000000000000000000000000000-22-220000
χ6744-4-44-4−1+5−1−5−1+5−1−51−51−51+51+544-44-4-4−1+5−1−51−51+50000−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51+51−51+50000000000000000000000000000000000000000000000
χ6844-4-44-4−1+5−1−5−1+5−1−51−51−51+51+5-4-4-4444−1+5−1−51−51+500001−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ6944-4-44-4−1−5−1+5−1−5−1+51+51+51−51−544-44-4-4−1−5−1+51+51−50000−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51−51+51−50000000000000000000000000000000000000000000000
χ7044-4-44-4−1−5−1+5−1−5−1+51+51+51−51−5-4-4-4444−1−5−1+51+51−500001+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ7144-4-4-444444-4-4-4-4000000-4-4440000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ7244-4-4-444444-4-4-4-4000000-4-444000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ738888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−250000002−252+252−252+2500000000000000000000000000000000000000000000000000000000000000
χ748888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+250000002+252−252+252−2500000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-88−2+25−2−25−2+25−2−252−252−252+252+250000002−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-88−2−25−2+25−2−25−2+252+252+252−252−250000002+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000
χ778-88i−8i0088-8-88i−8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000
χ788-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ292ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ3900000000000000000000000000000000000000
χ798-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000002ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ29−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ3900000000000000000000000000000000000000
χ808-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000000000000000000000−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000000000000000
χ818-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000002ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ372ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000000000000000
χ828-8−8i8i0088-8-8−8i8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000
χ838-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ2900000000000000000000000000000000000000
χ848-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ2900000000000000000000000000000000000000
χ858-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ3700000000000000000000000000000000000000
χ868-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000002ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ3700000000000000000000000000000000000000

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