Finite Group Databasebeta

← Group #13103530

Character table — Group #13103530

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222444444445555888888888888888888101010101010101010102020202020202020202020202020202020202020202020202020404040405050505050505050100100
order12224455101010101010510101020202020444455101010101010202020202020202020202220202020202020202288881010101040404040404040404040404040404040101010108888888844
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−i−i−iiiii-1-1
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ81111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1iiii−i−i−i−i11
χ91111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1
χ111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ121111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ131111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1i−i−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-11
χ141111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-11
χ151111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11i−i−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i1-1
χ161111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii1-1
χ17222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52002i2i−2i−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+ζ1400000000000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200−2i−2i2i2i1−521−521+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+522222−1−52−1−52−1+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+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+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+522222−1−52−1−52−1+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+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+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+522222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52002i2i−2i−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+ζ3800000000000000
χ24222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5200−2i−2i2i2i1+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+52−1−5222221−521−521+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+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002-22-21−521−521+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+5200000000000000
χ262222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521+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+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-22-221−521−521+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+52−1−5222221−521−521+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+52221−521−521+521+521−521−521+521+52002i−2i−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−ζ1400000000000000
χ282222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521+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+52221−521−521+521+521−521−521+521+5200−2i2i2i−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+ζ1400000000000000
χ292222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+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+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002-22-21+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+521−521−5200000000000000
χ302222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+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+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-22-221+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+5222221+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+521−521−521−521−52221+521+521−521−521+521+521−521−52002i−2i−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−ζ3800000000000000
χ322222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+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+521−521−521−521−52221+521+521−521−521+521+521−521−5200−2i2i2i−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+ζ3800000000000000
χ3322-2-200222-22-2-2-222-2-200002i−2i2i−2i222-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900
χ3422-2-200222-22-2-2-222-2-200002i−2i2i−2i222-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900
χ3522-2-200222-22-2-2-222-2-20000−2i2i−2i2i222-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700
χ3622-2-200222-22-2-2-222-2-20000−2i2i−2i2i222-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700
χ372-22-20022-22-22-2-22-22-200002i−2i−2i2i22-22-22-2-2000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ382-22-20022-22-22-2-22-22-200002i−2i−2i2i22-22-22-2-2000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ392-22-20022-22-22-2-22-22-20000−2i2i2i−2i22-22-22-2-20000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ402-22-20022-22-22-2-22-22-20000−2i2i2i−2i22-22-22-2-20000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ412-2-222-222-2-2-2-2222-2-222-22-222-2-222-2-2-2-2222-222-2-222-2-22-2-2-2-2-222220000002-22-2000000000000000000000000000000
χ422-2-222-222-2-2-2-2222-2-222-22-2-2-22222-2-2-2-2222-222-2-222-2-2-222222-2-2-2-2000000-22-22000000000000000000000000000000
χ432-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+521−52−1−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+521−521−52−1−52−1−521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+521−52−1−521+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
χ442-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+521−52−1−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+521−521−52−1−52−1−521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+521−52−1−521+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
χ452-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+521−52−1−521+52-2-222−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+521−521−52−1−52−1−521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+520000001−52−1+521+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
χ462-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+521−52−1−521+52-2-222−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+521−521−52−1−52−1−521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+520000001−52−1+521+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
χ472-2-222-2−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−521+52−1+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−521+521+52−1+52−1+521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−521+52−1+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
χ482-2-222-2−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−521+52−1+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−521+521+52−1+52−1+521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−521+52−1+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
χ492-2-222-2−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−521+52−1+521−52-2-222−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−521+521+52−1+52−1+521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−520000001+52−1−521−52−1+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
χ502-2-222-2−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−521+52−1+521−52-2-222−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1−521+521+52−1+52−1+521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−520000001+52−1−521−52−1+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
χ512-2-22-2222-2-2-2-2222-2-22-22-2222-2-222-2-2-2-222-22-2-222-2-222-22-2-2-2-22222000000-22-22000000000000000000000000000000
χ522-2-22-2222-2-2-2-2222-2-22-22-22-2-22222-2-2-2-222-22-2-222-2-2222-22222-2-2-2-20000002-22-2000000000000000000000000000000
χ532-2-22-22−1+52−1−521−521−521+521+52−1+52−1−522-2-221−52−1+521+52−1−5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52-221−521−52−1+52−1+521+521+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000001−52−1+521+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
χ542-2-22-22−1+52−1−521−521−521+521+52−1+52−1−522-2-221−52−1+521+52−1−5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52-221−521−52−1+52−1+521+521+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000001−52−1+521+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
χ552-2-22-22−1+52−1−521−521−521+521+52−1+52−1−522-2-221−52−1+521+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−52-221−521−52−1+52−1+521+521+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ562-2-22-22−1+52−1−521−521−521+521+52−1+52−1−522-2-221−52−1+521+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−52-221−521−52−1+52−1+521+521+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ572-2-22-22−1−52−1+521+521+521−521−52−1−52−1+522-2-221+52−1−521−52−1+5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52-221+521+52−1−52−1−521−521−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+520000001+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ582-2-22-22−1−52−1+521+521+521−521−52−1−52−1+522-2-221+52−1−521−52−1+5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52-221+521+52−1−52−1−521−521−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+520000001+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ592-2-22-22−1−52−1+521+521+521−521−52−1−52−1+522-2-221+52−1−521−52−1+52-2-222−1−52−1+521+521+521−521−52−1−52−1+52-221+521+52−1−52−1−521−521−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ602-2-22-22−1−52−1+521+521+521−521−52−1−52−1+522-2-221+52−1−521−52−1+52-2-222−1−52−1+521+521+521−521−52−1−52−1+52-221+521+52−1−52−1−521−521−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−521+52−1+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
χ6144444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000044000000000000000000000000-1-1-1-10000000000
χ6244444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-4-400000000000000000000000011110000000000
χ634444-4-444444444-1-1-1-1-4-4-4-40000-1-1-1-1-1-1-1-1111111111100000000004-4000000000000000000000000-1-1110000000000
χ644444-4-444444444-1-1-1-1-4-4-4-40000-1-1-1-1-1-1-1-111111111110000000000-4400000000000000000000000011-1-10000000000
χ6544-4-400−1+5−1−5−1+51−5−1−51+51−51+544-4-400004i−4i4i−4i−1+5−1−5−1+51−5−1−51+51−51+5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ6644-4-400−1+5−1−5−1+51−5−1−51+51−51+544-4-40000−4i4i−4i4i−1+5−1−5−1+51−5−1−51+51−51+50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ6744-4-400−1−5−1+5−1−51+5−1+51−51+51−544-4-400004i−4i4i−4i−1−5−1+5−1−51+5−1+51−51+51−5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ6844-4-400−1−5−1+5−1−51+5−1+51−51+51−544-4-40000−4i4i−4i4i−1−5−1+5−1−51+5−1+51−51+51−50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ694-44-400−1+5−1−51−5−1+51+5−1−51−51+54-44-400004i−4i−4i4i−1+5−1−51−5−1+51+5−1−51−51+50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ704-44-400−1+5−1−51−5−1+51+5−1−51−51+54-44-40000−4i4i4i−4i−1+5−1−51−5−1+51+5−1−51−51+5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ714-44-400−1−5−1+51+5−1−51−5−1+51+51−54-44-400004i−4i−4i4i−1−5−1+51+5−1−51−5−1+51+51−50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ724-44-400−1−5−1+51+5−1−51−5−1+51+51−54-44-40000−4i4i4i−4i−1−5−1+51+5−1−51−5−1+51+51−5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ734-4-444-444-4-4-4-444-111-14-44-40000-1-11111-1-1-11-1-111-1-1110000000000000000000000000000000000005−55−50000000000
χ744-4-444-444-4-4-4-444-111-14-44-40000-1-11111-1-1-11-1-111-1-111000000000000000000000000000000000000−55−550000000000
χ754-4-44-4444-4-4-4-444-111-1-44-440000-1-11111-1-11-111-1-111-1-10000000000000000000000000000000000005−5−550000000000
χ764-4-44-4444-4-4-4-444-111-1-44-440000-1-11111-1-11-111-1-111-1-1000000000000000000000000000000000000−555−50000000000
χ77888888−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25-2-2-2-2−2+25−2+25−2−25−2−2500001−521+521−521−521+521+521−521+52-2-21−521−521−521−521+521+521+521+5200000000000000000000000000000000000000000000000000
χ78888888−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25-2-2-2-2−2−25−2−25−2+25−2+2500001+521−521+521+521−521−521+521−52-2-21+521+521+521+521−521−521−521−5200000000000000000000000000000000000000000000000000
χ798888-8-8−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25-2-2-2-22−252−252+252+2500001−521+521−521−521+521+521−521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000000000000000000000000000
χ808888-8-8−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25-2-2-2-22+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+5200000000000000000000000000000000000000000000000000
χ8188-8-800888-88-8-8-8-2-22200000000-2-2-22-2222000000000000000000000000000000000000000000000000000000000000
χ8288-8-800−2+25−2−25−2+252−25−2−252+252−252+25-2-222000000001−521+521−52−1+521+52−1−52−1+52−1−52002ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ3800000000000000000000000000000000000000000000000000
χ8388-8-800−2+25−2−25−2+252−25−2−252+252−252+25-2-222000000001−521+521−52−1+521+52−1−52−1+52−1−5200−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ3800000000000000000000000000000000000000000000000000
χ8488-8-800−2−25−2+25−2−252+25−2+252−252+252−25-2-222000000001+521−521+52−1−521−52−1+52−1−52−1+5200−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ3800000000000000000000000000000000000000000000000000
χ8588-8-800−2−25−2+25−2−252+25−2+252−252+252−25-2-222000000001+521−521+52−1−521−52−1+52−1−52−1+5200ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ3800000000000000000000000000000000000000000000000000
χ868-88-80088-88-88-8-8-22-2200000000-2-22-22-222000000000000000000000000000000000000000000000000000000000000
χ878-88-800−2+25−2−252−25−2+252+25−2−252−252+25-22-22000000001−521+52−1+521−52−1−521+52−1+52−1−52002ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ3800000000000000000000000000000000000000000000000000
χ888-88-800−2+25−2−252−25−2+252+25−2−252−252+25-22-22000000001−521+52−1+521−52−1−521+52−1+52−1−5200−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ3800000000000000000000000000000000000000000000000000
χ898-88-800−2−25−2+252+25−2−252−25−2+252+252−25-22-22000000001+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+2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ3800000000000000000000000000000000000000000000000000
χ908-88-800−2−25−2+252+25−2−252−25−2+252+252−25-22-22000000001+521−52−1−521+52−1+521−52−1−52−1+5200ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ3800000000000000000000000000000000000000000000000000
χ918-8-888-8−2+25−2−252−252−252+252+25−2+25−2−25-222-2−2+252−25−2−252+2500001−521+52−1+52−1+52−1−52−1−521−521+52-221−521−52−1+52−1+521+521+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ928-8-888-8−2−25−2+252+252+252−252−25−2−25−2+25-222-2−2−252+25−2+252−2500001+521−52−1−52−1−52−1+52−1+521+521−52-221+521+52−1−52−1−521−521−52−1+52−1+5200000000000000000000000000000000000000000000000000
χ938-8-88-88−2+25−2−252−252−252+252+25−2+25−2−25-222-22−25−2+252+25−2−2500001−521+52−1+52−1+52−1−52−1−521−521+522-2−1+52−1+521−521−52−1−52−1−521+521+5200000000000000000000000000000000000000000000000000
χ948-8-88-88−2−25−2+252+252+252−252−25−2−25−2+25-222-22+25−2−252−25−2+2500001+521−52−1−52−1−52−1+52−1+521+521−522-2−1−52−1−521+521+52−1+52−1+521−521−5200000000000000000000000000000000000000000000000000

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