Finite Group Databasebeta

← Group #13099791

Character table — Group #13099791

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11112222222222222222224444555588888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010202040404040100100100100100100
order12224455101010101010202020202020202051010102222551010101010102020202020202020202044888888881010101010101010202020202020202040404040404040404040404040404040404040404040404040404040404040404420202020444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1ii−i−i
χ611111111111111111111111111-1-1-1-1111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-111−i−iii
χ711111111111111111111111111-1-1-1-1111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii111111-1-1−i−iii
χ811111111111111111111111111-1-1-1-1111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-111ii−i−i
χ91-11-11-111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1111-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−iii−i−ii−ii−ii−i
χ101-11-11-111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1111-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−iii−ii−ii−ii
χ111-11-11-111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1111-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−iii−i−ii−i−ii−ii
χ121-11-11-111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1111-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−i−iii−iii−ii−i
χ131-11-11-111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-1-1111-11111-1-1-1-11-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−i−ii-111-1
χ141-11-11-111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-1-1111-11111-1-1-1-11-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iiii−i1-1-11
χ151-11-11-111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-1-1111-11111-1-1-1-11-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−i−ii1-1-11
χ161-11-11-111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-1-1111-11111-1-1-1-11-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iiii−i-111-1
χ17222222−1+52−1−52−1+52−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ18222222−1+52−1−52−1+52−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+52000000000000
χ19222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22i2i2i2i−2i−2i−2i−2i1−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14000000000000
χ20222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−2i−2i−2i−2i2i2i2i2i1−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14000000000000
χ21222222−1−52−1+52−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ22222222−1−52−1+52−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ23222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22i2i2i2i−2i−2i−2i−2i1+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38000000000000
χ24222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−2i−2i−2i−2i2i2i2i2i1+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38000000000000
χ252222-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ262222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ272222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+52-2-200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
χ282222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+52-2-200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000
χ292222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+5222000000001−521−521+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+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ302222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+5222000000001−521−521+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−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ312222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52-2-200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000000
χ322222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52-2-200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000000
χ332222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−5222000000001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ342222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−5222000000001+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+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ3522-2-200222-22-2-2-20000000022-2-22-22-2222-22-2-2-20000000000002−22−22−22−22-22-22-22-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000000000
χ3622-2-200222-22-2-2-20000000022-2-22-22-2222-22-2-2-2000000000000−22−22−22−222-22-22-22-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000000000
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χ832-2-2200−1+52−1−521−52−1+521+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-2-22-222-2−1+52−1−521−52−1+521+52−1−521−521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400i2−i2−i2i2−i2i2i2−i21−52−1+521+52−1−52−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31000000000000
χ842-2-2200−1+52−1−521−52−1+521+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-2-22-222-2−1+52−1−521−52−1+521+52−1−521−521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400−i2i2i2−i2i2−i2−i2i21−52−1+521+52−1−52−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31000000000000
χ852-2-2200−1−52−1+521+52−1−521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382-2-222-2-22−1−52−1+521+52−1−521−52−1+521+521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38002−2−222−2−22−1−521+52−1+521−521+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13000000000000
χ862-2-2200−1−52−1+521+52−1−521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382-2-222-2-22−1−52−1+521+52−1−521−52−1+521+521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800−222−2−222−2−1−521+52−1+521−521+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13000000000000
χ872-2-2200−1−52−1+521+52−1−521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382-2-22-222-2−1−52−1+521+52−1−521−52−1+521+521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800i2−i2−i2i2−i2i2i2−i21+52−1−521−52−1+52−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37000000000000
χ882-2-2200−1−52−1+521+52−1−521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382-2-22-222-2−1−52−1+521+52−1−521−52−1+521+521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800−i2i2i2−i2i2−i2−i2i21+52−1−521−52−1+52−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37ζ29+ζ31−ζ29−ζ31ζ21+ζ39−ζ21−ζ39ζ7+ζ13−ζ7−ζ13ζ23+ζ37−ζ23−ζ37−ζ29−ζ31ζ29+ζ31−ζ21−ζ39ζ21+ζ39−ζ7−ζ13ζ7+ζ13−ζ23−ζ37ζ23+ζ37000000000000
χ892-2-2200−1−52−1+521+52−1−521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382-2-222-2-22−1−52−1+521+52−1−521−52−1+521+521−5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38002−2−222−2−22−1−521+52−1+521−521+52−1−521−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37000000000000
χ902-2-2200−1−52−1+521+52−1−521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382-2-222-2-22−1−52−1+521+52−1−521−52−1+521+521−5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800−222−2−222−2−1−521+52−1+521−521+52−1−521−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37000000000000
χ912-2-2200−1−52−1+521+52−1−521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382-2-22-222-2−1−52−1+521+52−1−521−52−1+521+521−5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800i2−i2−i2i2−i2i2i2−i21+52−1−521−52−1+52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13000000000000
χ922-2-2200−1−52−1+521+52−1−521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382-2-22-222-2−1−52−1+521+52−1−521−52−1+521+521−5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800−i2i2i2−i2i2−i2−i2i21+52−1−521−52−1+52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13ζ21+ζ39−ζ21−ζ39ζ29+ζ31−ζ29−ζ31ζ23+ζ37−ζ23−ζ37ζ7+ζ13−ζ7−ζ13−ζ21−ζ39ζ21+ζ39−ζ29−ζ31ζ29+ζ31−ζ23−ζ37ζ23+ζ37−ζ7−ζ13ζ7+ζ13000000000000
χ934444444444444444444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000044-1-1-1-1000000
χ944444444444444444444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000-4-41111000000
χ954444-4-444444444-4-4-4-4-4-4-4-4-1-1-1-10000-1-1-1-1-1-1-1-111111111110000000000000000000000000000000000000000000000000000000000005−55−5000000
χ964444-4-444444444-4-4-4-4-4-4-4-4-1-1-1-10000-1-1-1-1-1-1-1-11111111111000000000000000000000000000000000000000000000000000000000000−55−55000000
χ974-44-44-444-4-4-4-4444444-4-4-4-4-11-110000-1-11111-1-1-11-1-1-1-1111100000000000000000000000000000000000000000000000000000000004i−4i−i−iii000000
χ984-44-44-444-4-4-4-4444444-4-4-4-4-11-110000-1-11111-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000000000000000−4i4iii−i−i000000
χ994-44-4-4444-4-4-4-444-4-4-4-44444-11-110000-1-11111-1-11-11111-1-1-1-1000000000000000000000000000000000000000000000000000000000000i5−i5−i5i5000000
χ1004-44-4-4444-4-4-4-444-4-4-4-44444-11-110000-1-11111-1-11-11111-1-1-1-1000000000000000000000000000000000000000000000000000000000000−i5i5i5−i5000000
χ101888888−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2+25−2−25−2−25-2-2-2-200001−521+521−521−521+521+521−521+52-2-21−521−521+521+521−521−521+521+520000000000000000000000000000000000000000000000000000000000000000000000
χ102888888−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2−25−2+25−2+25-2-2-2-200001+521−521+521+521−521−521+521−52-2-21+521+521−521−521+521+521−521−520000000000000000000000000000000000000000000000000000000000000000000000
χ1038888-8-8−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−252−252−252+252+252−252−252+252+25-2-2-2-200001−521+521−521−521+521+521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000000000000000
χ1048888-8-8−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+252+252+252−252−252+252+252−252−25-2-2-2-200001+521−521+521+521−521−521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800888-88-8-8-800000000-2-2220000-2-2-22-222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800−2+25−2−25−2+252−25−2−252+252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14-2-22200001−521+521−52−1+521+52−1−52−1+52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800−2+25−2−25−2+252−25−2−252+252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14-2-22200001−521+521−52−1+521+52−1−52−1+52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-800−2−25−2+25−2−252+25−2+252−252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38-2-22200001+521−521+52−1−521−52−1+52−1−52−1+5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-800−2−25−2+25−2−252+25−2+252−252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38-2-22200001+521−521+52−1−521−52−1+52−1−52−1+5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-8−2+25−2−252−252−252+252+25−2+25−2−25−2+25−2+25−2−25−2−252−252−252+252+25-22-2200001−521+52−1+52−1+52−1−52−1−521−521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-8−2−25−2+252+252+252−252−25−2−25−2+25−2−25−2−25−2+25−2+252+252+252−252−25-22-2200001+521−52−1−52−1−52−1+52−1+521+521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-88−2+25−2−252−252−252+252+25−2+25−2−252−252−252+252+25−2+25−2+25−2−25−2−25-22-2200001−521+52−1+52−1+52−1−52−1−521−521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88−2−25−2+252+252+252−252−25−2−25−2+252+252+252−252−25−2−25−2−25−2+25−2+25-22-2200001+521−52−1−52−1−52−1+52−1+521+521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-880088-88-88-8-800000000-222-20000-2-22-22-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800−2+25−2−252−25−2+252+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14-222-200001−521+52−1+521−52−1−521+52−1+52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800−2+25−2−252−25−2+252+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14-222-200001−521+52−1+521−52−1−521+52−1+52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800−2−25−2+252+25−2−252−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38-222-200001+521−52−1−521+52−1+521−52−1−52−1+5200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800−2−25−2+252+25−2−252−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38-222-200001+521−52−1−521+52−1+521−52−1−52−1+5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000000000000000000000000000000000000000000000000000000000000

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