Finite Group Databasebeta

← Group #13099781

Character table — Group #13099781

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222444444444444888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020100100100100100100
order12442455101020202020510101010102020202020205510101010101020202020202020202244101010102020202044448810102020202020202020202020202020202020204040404040404040444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111ii−i−i-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1−i−iii11
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−iii-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1ii−i−i11
χ91111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-11-11-1111111111-11-1i−i-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−ii−ii−ii−i
χ101111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-11-11-1111111111-11-1−ii-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−ii−ii−ii
χ111111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-11-11-111111111-11-11i−i-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−ii−iii−i
χ121111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-11-11-111111111-11-11−ii-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiii−ii−i−ii
χ131111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1i−i−iii−i1111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1−ii
χ141111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1i−i−ii−ii1111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-11i−i
χ151111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1−iii−ii−i1111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-11−ii
χ161111-1-1111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1−iii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-1i−i
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222200−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-200−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+522i2i−2i−2i001−521+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
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−2i−2i2i2i001−521+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
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222200−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-200−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−522i2i−2i−2i001+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
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−2i−2i2i2i001+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
χ252222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2001−521+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
χ262222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-22001−521+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
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+521−521−521+521+522i−2i−2i2i00−1+52−1−52−1+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
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+521−521−521+521+52−2i2i2i−2i00−1+52−1−52−1+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
χ292222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2001+521−521+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
χ302222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22001+521−521+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
χ312222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−521+521+521−521−522i−2i−2i2i00−1−52−1+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
χ322222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−521+521+521−521−52−2i2i2i−2i00−1−52−1+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
χ3322-2-22-22222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-200000022-2-2000000000000000000000000000000
χ3422-2-22-22222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222000000-2-222000000000000000000000000000000
χ3522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+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
χ3622-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+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
χ3722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+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
χ3822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+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
χ3922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+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
χ4022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+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
χ4122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+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
χ4222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+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
χ4322-2-2-222222-2-2-2-22-2-2-2-2222-2-22222-2-2-2-222-2-2-2-222222-2-222222-2-2-2-2000000-2-222000000000000000000000000000000
χ4422-2-2-222222-2-2-2-22-2-2-2-2222-2-22222-2-2-2-222-2-2-2-22222-222-2-2-2-2-2222200000022-2-2000000000000000000000000000000
χ4522-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+52-2-22−1+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+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
χ4622-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+52-2-22−1+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+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
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χ5222-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5221+521−52-2-22−1−52−1+52-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+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
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χ644-44i−4i0044-4-44i−4i4i−4i-100−55100−ii−i5i5-1-1−55−5511−ii−ii−i5i5−i5i500000000000000000000000000000000000000−ζ13+ζ31+ζ37−ζ39ζ13−ζ31−ζ37+ζ39−ζ7+ζ21+ζ23−ζ29ζ7−ζ21−ζ23+ζ29−ζ13−ζ31+ζ37+ζ39ζ13+ζ31−ζ37−ζ39ζ7+ζ21−ζ23−ζ29−ζ7−ζ21+ζ23+ζ29000000
χ654-44i−4i0044-4-44i−4i4i−4i-100−55100−ii−i5i5-1-1−55−5511−ii−ii−i5i5−i5i500000000000000000000000000000000000000ζ13−ζ31−ζ37+ζ39−ζ13+ζ31+ζ37−ζ39ζ7−ζ21−ζ23+ζ29−ζ7+ζ21+ζ23−ζ29ζ13+ζ31−ζ37−ζ39−ζ13−ζ31+ζ37+ζ39−ζ7−ζ21+ζ23+ζ29ζ7+ζ21−ζ23−ζ29000000
χ664-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1440000-4004i−4i00−1+5−1−500001−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
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χ79888888−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25-2−2+25−2−25-2-2-2−2+25−2−25-2-2-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000000000000000000000
χ80888888−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-2−2−25−2+25-2-2-2−2−25−2+25-2-2-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000000000000000000000
χ818888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25-22−252+2522-22−252+25-2-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000
χ828888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-22+252−2522-22+252−25-2-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000
χ8388-8-88-8−2+25−2−25−2+25−2−252−252−252+252+25-2−2+25−2−25-2-2-22−252+2522221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000
χ8488-8-88-8−2−25−2+25−2−25−2+252+252+252−252−25-2−2−25−2+25-2-2-22+252−2522221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000
χ8588-8-8-88−2+25−2−25−2+25−2−252−252−252+252+25-22−252+2522-2−2+25−2−2522-2-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ8688-8-8-88−2−25−2+25−2−25−2+252+252+252−252−25-22+252−2522-2−2−25−2+2522-2-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ878-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-20025−25200−2i2i2i5−2i51−521+525−52−5+52−5−525+52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ888-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-200−2525200−2i2i−2i52i51−521+52−5+525−525+52−5−52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ898-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-20025−25200−2i2i2i5−2i51+521−52−5−525+525−52−5+52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ380000000000000000000000000000000000000000000000000000
χ908-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-200−2525200−2i2i−2i52i51+521−525+52−5−52−5+525−52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ380000000000000000000000000000000000000000000000000000
χ918-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-20025−252002i−2i−2i52i51−521+525−52−5+52−5−525+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ928-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-200−25252002i−2i2i5−2i51−521+52−5+525−525+52−5−52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ938-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-20025−252002i−2i−2i52i51+521−52−5−525+525−52−5+52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ380000000000000000000000000000000000000000000000000000
χ948-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-200−25252002i−2i2i5−2i51+521−525+52−5−52−5+525−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ380000000000000000000000000000000000000000000000000000

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