Finite Group Databasebeta

← Group #12016331

Character table — Group #12016331

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222222222222244444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order122224444558810101010101088810101010202020202020202040404040404040408888161616164040404080808080808080808080808080808080221010101010101010404040404040404022448888881616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i1-11-11-1ii−i−iii−i−i1-1
χ10111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-11-11-11−i−iii−i−iii-11
χ11111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111iiii−i−i−i−i1-11-11-1ii−i−i−i−iii-11
χ12111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111iiii−i−i−i−i-11-11-11−i−iiiii−i−i1-1
χ13111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111−i−i−i−iiiii1-11-11-1−i−iiiii−i−i-11
χ14111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111−i−i−i−iiiii-11-11-11ii−i−i−i−iii1-1
χ15111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1−i−i−i−iiiii1-11-11-1−i−iii−i−iii1-1
χ16111-1-1-111-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1−i−i−i−iiiii-11-11-11ii−i−iii−i−i-11
χ1722222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000002222-2-20000000000
χ1822222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ20222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ22222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ23222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+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
χ24222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ25222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ26222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ27222-2-2-222-22222-2-2-2-222-2-2222-2-222-2-222-2-2-2-2-2-2222200000000-2-22200000000000000000000000000000000002-22-2-220000000000
χ28222-2-2-222-22222-2-2-2-222-2-2222-2-222-2-222-2-2-2-2-2-2222200000000-2-2220000000000000000000000000000000000-22-222-20000000000
χ29222-2-2-222-2−1+52−1−52-2-21−521−521+521+52−1+52−1−5222-2−1+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+522i2i−2i−2i2i2i−2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142-2−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ30222-2-2-222-2−1+52−1−52-2-21−521−521+521+52−1+52−1−5222-2−1+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+522i2i−2i−2i−2i−2i2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14-221−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ31222-2-2-222-2−1+52−1−52-2-21−521−521+521+52−1+52−1−5222-2−1+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+52−2i−2i2i2i2i2i−2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14-221−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ32222-2-2-222-2−1+52−1−52-2-21−521−521+521+52−1+52−1−5222-2−1+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+52−2i−2i2i2i−2i−2i2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142-2−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ33222-2-2-222-2−1−52−1+52-2-21+521+521−521−52−1−52−1+5222-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522i2i−2i−2i2i2i−2i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382-2−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ34222-2-2-222-2−1−52−1+52-2-21+521+521−521−52−1−52−1+5222-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522i2i−2i−2i−2i−2i2i2i−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38-221+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ35222-2-2-222-2−1−52−1+52-2-21+521+521−521−52−1−52−1+5222-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i−2i2i2i2i2i−2i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38-221+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ36222-2-2-222-2−1−52−1+52-2-21+521+521−521−52−1−52−1+5222-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i−2i2i2i−2i−2i2i2i−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382-2−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ3722-22-222-2-222222222222-2-2-2-2-2-2-2-22222-2-22222222200000000-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i000000
χ3822-22-222-2-222222222222-2-2-2-2-2-2-2-22222-2-22222222200000000-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i000000
χ3922-22-222-2-222-2-2222222-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i00002222000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4022-22-222-2-222-2-2222222-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i0000222200000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4122-22-222-2-2−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+522i−2i2i−2i0000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ4222-22-222-2-2−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+522i−2i2i−2i0000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
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χ8544-44-4-4-444−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−50001−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−500000000000022−2222−220000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000000000000000
χ8644-44-4-4-444−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−50001−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5000000000000−2222−22220000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000000000000000
χ8744-44-4-4-444−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+50001+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+500000000000022−2222−220000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000
χ8844-44-4-4-444−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+50001+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5000000000000−2222−22220000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000
χ8944-4-444-44-4−1+5−1−5001−51−51+51+5−1+5−1−50001−51+5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+50000000000002i2−2i2−2i22i20000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000000000000000
χ9044-4-444-44-4−1+5−1−5001−51−51+51+5−1+5−1−50001−51+5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+5000000000000−2i22i22i2−2i20000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000000000
χ9144-4-444-44-4−1−5−1+5001+51+51−51−5−1−5−1+50001+51−5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−50000000000002i2−2i2−2i22i20000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000
χ9244-4-444-44-4−1−5−1+5001+51+51−51−5−1−5−1+50001+51−5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−5000000000000−2i22i22i2−2i20000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000
χ9344-4-44-44-44−1+5−1−5-4-41−51−51+51+5−1+5−1−54-441−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ9444-4-44-44-44−1−5−1+5-4-41+51+51−51−5−1−5−1+54-441+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ958-800000008842−420000-8-8000000000000000000042−4242−4200000000000000000000000000000000000000000000000000000000000000
χ968-8000000088−42420000-8-80000000000000000000−4242−424200000000000000000000000000000000000000000000000000000000000000
χ978-80000000−2+25−2−2542−424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000
χ988-80000000−2+25−2−2542−42−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+250000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000
χ998-80000000−2+25−2−25−42424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+250000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000
χ1008-80000000−2+25−2−25−4242−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000
χ1018-80000000−2−25−2+2542−42−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−250000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1028-80000000−2−25−2+2542−424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000000000000000−2ζ21+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+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+25−4242−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000000000000000−2ζ21+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+2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+25−42424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−250000000000000002ζ21−2ζ29−2ζ31+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+2ζ3700000000000000000000000000000000000000000000000000000000000000

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