Finite Group Databasebeta

← Group #13103688

Character table — Group #13103688

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size1111222222224444444445555888888888888888888101010101010101010101010101020202020202020202020202020202020202020202020202040404040505050505050100100100
order12225510101010101045101010202020204444551010101010102020202020202020202044888820202020202020202488101010104040404040404040404040404040404020202020448888288
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111-1-11111111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111111-1-1-1-111111111111111111111ii−i−i-1-1-1-1-1-1-1-1-11i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−i-1i−i
χ6111111111111111111111-1-1-1-111111111111111111111−i−iii-1-1-1-1-1-1-1-1-11−ii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii-1−ii
χ7111111111111111111111-1-1-1-1111111111111111111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111−i−iii1−ii
χ8111111111111111111111-1-1-1-1111111111111111111-1-1−i−iii-1-1-1-1-1-1-1-1-1-1−ii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111ii−i−i1i−i
χ9111111111111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1
χ10111111111111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-111
χ11111111111111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111
χ12111111111111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111-1-1
χ13111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-11-1−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1ii−i−i1−ii
χ14111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-11-1i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1−i−iii1i−i
χ15111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-111−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111−i−iii-1i−i
χ16111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-111i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111ii−i−i-1−ii
χ172222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ182222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5220-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000
χ192222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002i2i−2i−2i1−521−521+521+521−521−521+521+52-202i−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+ζ140000000000000
χ202222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−2i−2i2i2i1−521−521+521+521−521−521+521+52-20−2i2i1−521−521+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−ζ140000000000000
χ212222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222221−521−521+521+522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+52002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-20-2-21−521−521+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+520000000000000
χ222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222221−521−521+521+522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+5200-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-20221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ232222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+52002i2i−2i−2i1−521−521+521+521−521−521+521+5220−2i2i−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−ζ140000000000000
χ242222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+5200−2i−2i2i2i1−521−521+521+521−521−521+521+52202i−2i−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+ζ140000000000000
χ252222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+522222−1−52−1+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+52002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000
χ262222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+522222−1−52−1+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+5200-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5220-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000
χ272222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002i2i−2i−2i1+521+521−521−521+521+521−521−52-202i−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+ζ380000000000000
χ282222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−2i−2i2i2i1+521+521−521−521+521+521−521−52-20−2i2i1+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−ζ380000000000000
χ292222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222221+521+521−521−522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−52002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-20-2-21+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+521−521−520000000000000
χ302222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222221+521+521−521−522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−5200-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-20221+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+520000000000000
χ312222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222221+521+521−521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−52002i2i−2i−2i1+521+521−521−521+521+521−521−5220−2i2i−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−ζ380000000000000
χ322222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222221+521+521−521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−5200−2i−2i2i2i1+521+521−521−521+521+521−521−52202i−2i−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+ζ380000000000000
χ3322-2-2222-22-2-2-202-22-200002i−2i2i−2i222-22-2-2-200000000002-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000002-2002i−2i0000000
χ3422-2-2222-22-2-2-202-22-200002i−2i2i−2i222-22-2-2-20000000000-2200002i−2i2i−2i2i−2i2i−2i000000000000000000000000-2200−2i2i0000000
χ3522-2-2222-22-2-2-202-22-20000−2i2i−2i2i222-22-2-2-200000000002-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002-200−2i2i0000000
χ3622-2-2222-22-2-2-202-22-20000−2i2i−2i2i222-22-2-2-20000000000-220000−2i2i−2i2i−2i2i−2i2i000000000000000000000000-22002i−2i0000000
χ372-22-222-2-2-2-22202-2-22000022-2-222-2-2-2-2220000000000002i−2i2i−2i2222-2-2-2-2000000002i−2i2i−2i00002i−2i2i−2i00000000000000000
χ382-22-222-2-2-2-22202-2-22000022-2-222-2-2-2-222000000000000−2i2i−2i2i2222-2-2-2-200000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000
χ392-22-222-2-2-2-22202-2-220000-2-22222-2-2-2-2220000000000002-2-22-2-2-2-22222000000002-22-20000-22-2200000000000000000
χ402-22-222-2-2-2-22202-2-220000-2-22222-2-2-2-222000000000000-222-2-2-2-2-2222200000000-22-2200002-22-200000000000000000
χ412-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3622-2-2−1+52−1−521−521−521+521+52−1+52−1−5200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36002i−2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000
χ422-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3622-2-2−1+52−1−521−521−521+521+52−1+52−1−5200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−2i2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000
χ432-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-222−1+52−1−521−521−521+521+52−1+52−1−5200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36002-2-221−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000000000
χ442-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-222−1+52−1−521−521−521+521+52−1+52−1−5200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600-222-21−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000000000
χ452-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3622-2-2−1+52−1−521−521−521+521+52−1+52−1−5200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36002i−2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000
χ462-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3622-2-2−1+52−1−521−521−521+521+52−1+52−1−5200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−2i2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000
χ472-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-222−1+52−1−521−521−521+521+52−1+52−1−5200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36002-2-221−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000000000
χ482-22-2−1+52−1−521−521−521+521+52−1+52−1−5202-2-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-222−1+52−1−521−521−521+521+52−1+52−1−5200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600-222-21−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000000000
χ492-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2822-2-2−1−52−1+521+521+521−521−52−1−52−1+5200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002i−2i2i−2i−1−52−1−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000
χ502-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2822-2-2−1−52−1+521+521+521−521−52−1−52−1+5200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−2i2i−2i2i−1−52−1−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000
χ512-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-222−1−52−1+521+521+521−521−52−1−52−1+5200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2-221+521+521−521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000000000
χ522-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-222−1−52−1+521+521+521−521−52−1−52−1+5200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800-222-21+521+521−521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000000000
χ532-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2822-2-2−1−52−1+521+521+521−521−52−1−52−1+5200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002i−2i2i−2i−1−52−1−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000
χ542-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2822-2-2−1−52−1+521+521+521−521−52−1−52−1+5200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−2i2i−2i2i−1−52−1−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000
χ552-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-222−1−52−1+521+521+521−521−52−1−52−1+5200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2-221+521+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000000000
χ562-22-2−1−52−1+521+521+521−521−52−1−52−1+5202-2-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-222−1−52−1+521+521+521−521−52−1−52−1+5200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800-222-21+521+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000000000
χ572-2-2222-22-22-2-2022-2-200002i−2i−2i2i22-22-22-2-200000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000
χ582-2-2222-22-22-2-2022-2-200002i−2i−2i2i22-22-22-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000
χ592-2-2222-22-22-2-2022-2-20000−2i2i2i−2i22-22-22-2-20000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000
χ602-2-2222-22-22-2-2022-2-20000−2i2i2i−2i22-22-22-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000
χ614444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144000000000000040000000000000000000000-1-1-1-1000000000
χ624444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-40000000000000-400000000000000000000001111000000000
χ63444444444444-4-1-1-1-1-4-4-4-40000-1-1-1-1-1-1-1-11111111111440000000000000-40000000000000000000000-1-111000000000
χ64444444444444-4-1-1-1-1-4-4-4-40000-1-1-1-1-1-1-1-11111111111-4-400000000000004000000000000000000000011-1-1000000000
χ6544-4-4444-44-4-4-40-11-1100000000-1-1-11-1111i5−i5i5−i5i5−i5i5−i5i5−i54-4000000000000000000000000000000000000-11i5−i5000000000
χ6644-4-4444-44-4-4-40-11-1100000000-1-1-11-1111i5−i5i5−i5i5−i5i5−i5i5−i5-440000000000000000000000000000000000001-1−i5i5000000000
χ6744-4-4444-44-4-4-40-11-1100000000-1-1-11-1111−i5i5−i5i5−i5i5−i5i5−i5i54-4000000000000000000000000000000000000-11−i5i5000000000
χ6844-4-4444-44-4-4-40-11-1100000000-1-1-11-1111−i5i5−i5i5−i5i5−i5i5−i5i5-440000000000000000000000000000000000001-1i5−i5000000000
χ6944-4-4−1+5−1−5−1+51−5−1−51+51−51+504-44-400004i−4i4i−4i−1+5−1−5−1+51−5−1−51+51−51+50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000
χ7044-4-4−1+5−1−5−1+51−5−1−51+51−51+504-44-40000−4i4i−4i4i−1+5−1−5−1+51−5−1−51+51−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000
χ7144-4-4−1−5−1+5−1−51+5−1+51−51+51−504-44-400004i−4i4i−4i−1−5−1+5−1−51+5−1+51−51+51−50000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000
χ7244-4-4−1−5−1+5−1−51+5−1+51−51+51−504-44-40000−4i4i−4i4i−1−5−1+5−1−51+5−1+51−51+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000
χ734-4-44−1+5−1−51−5−1+51+5−1−51−51+5044-4-400004i−4i−4i4i−1+5−1−51−5−1+51+5−1−51−51+50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000
χ744-4-44−1+5−1−51−5−1+51+5−1−51−51+5044-4-40000−4i4i4i−4i−1+5−1−51−5−1+51+5−1−51−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000
χ754-4-44−1−5−1+51+5−1−51−5−1+51+51−5044-4-400004i−4i−4i4i−1−5−1+51+5−1−51−5−1+51+51−50000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000
χ764-4-44−1−5−1+51+5−1−51−5−1+51+51−5044-4-40000−4i4i4i−4i−1−5−1+51+5−1−51−5−1+51+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000
χ778888−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−258-2-2-2-2−2+25−2+25−2−25−2−2500001−521+521−521−521+521+521−521+52-2-21−521−521−521−521+521+521+521+52000000000000000000000000000000000000000000000000000
χ788888−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25-8-2-2-2-22−252−252+252+2500001−521+521−521−521+521+521−521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000
χ798888−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+258-2-2-2-2−2−25−2−25−2+25−2+2500001+521−521+521+521−521−521+521−52-2-21+521+521+521+521−521−521−521−52000000000000000000000000000000000000000000000000000
χ808888−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25-8-2-2-2-22+252+252−252−2500001+521−521+521+521−521−521+521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000
χ8188-8-8−2+25−2−25−2+252−25−2−252+252−252+250-22-22000000001−521+521−52−1+521+52−1−52−1+52−1−522i5−2i52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38000000000000000000000000000000000000000000000000000
χ8288-8-8−2+25−2−25−2+252−25−2−252+252−252+250-22-22000000001−521+521−52−1+521+52−1−52−1+52−1−52−2i52i5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38000000000000000000000000000000000000000000000000000
χ8388-8-8−2−25−2+25−2−252+25−2+252−252+252−250-22-22000000001+521−521+52−1−521−52−1+52−1−52−1+522i5−2i5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38000000000000000000000000000000000000000000000000000
χ8488-8-8−2−25−2+25−2−252+25−2+252−252+252−250-22-22000000001+521−521+52−1−521−52−1+52−1−52−1+52−2i52i53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38000000000000000000000000000000000000000000000000000
χ858-88-888-8-8-8-8880-222-200000000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000
χ868-88-8−2+25−2−252−252−252+252+25−2+25−2−250-222-24ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600001−521+52−1+52−1+52−1−52−1−521−521+5200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000000000000000000000000000000000000
χ878-88-8−2+25−2−252−252−252+252+25−2+25−2−250-222-2−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600001−521+52−1+52−1+52−1−52−1−521−521+5200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000000000000000000000000000000000000
χ888-88-8−2−25−2+252+252+252−252−25−2−25−2+250-222-2−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800001+521−52−1−52−1−52−1+52−1+521+521−5200ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000000000000000000000000000000000000
χ898-88-8−2−25−2+252+252+252−252−25−2−25−2+250-222-24ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800001+521−52−1−52−1−52−1+52−1+521+521−5200−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000000000000000000000000000000000000
χ908-8-8888-88-88-8-80-2-22200000000-2-22-22-2220000000000000000000000000000000000000000000000000000000000000
χ918-8-88−2+25−2−252−25−2+252+25−2−252−252+250-2-222000000001−521+52−1+521−52−1−521+52−1+52−1−52002ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38000000000000000000000000000000000000000000000000000
χ928-8-88−2+25−2−252−25−2+252+25−2−252−252+250-2-222000000001−521+52−1+521−52−1−521+52−1+52−1−5200−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38000000000000000000000000000000000000000000000000000
χ938-8-88−2−25−2+252+25−2−252−25−2+252+252−250-2-222000000001+521−52−1−521+52−1+521−52−1−52−1+5200−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38000000000000000000000000000000000000000000000000000
χ948-8-88−2−25−2+252+25−2−252−25−2+252+252−250-2-222000000001+521−52−1−521+52−1+521−52−1−52−1+5200ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38000000000000000000000000000000000000000000000000000

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