Finite Group Databasebeta

← Group #13103586

Character table — Group #13103586

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11222224444445588888888101010101010102020202020202020202020202020202050501001001122222444444558888888810101010101010202020202020202020202020202020205050100100
order12455101051020202020225510102020202048810101010442020202020202020202040404040884422410101010101020202020221010101020202020488101010104420202020202020202020404040408844
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111-1-111111111-111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1-1i−i1111111111111-1-111111111-111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1-1i−i
χ61111111111111-1-111111111-111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1-1−ii1111111111111-1-111111111-111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1-1−ii
χ71111111111111-1-111111111-1-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−ii1111111111111-1-111111111-1-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−ii
χ81111111111111-1-111111111-1-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111i−i1111111111111-1-111111111-1-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111i−i
χ9222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ10222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+5200000000222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+5200000000
χ11222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000
χ12222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000
χ13222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ14222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−5200000000222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−5200000000
χ15222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000
χ16222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000
χ1722-2222222-2-2-2-2222222-2-2-2-2-200222200-2-2000000000000000022-2222222-2-2-2-2222222-2-2-2-2-200222200-2-20000000000000000
χ1822-2222222-2-2-2-2-2-22222-2-2-2-2200-2-2-2-20022000000000000000022-2222222-2-2-2-2-2-22222-2-2-2-2200-2-2-2-200220000000000000000
χ1922-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000022-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ2022-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000022-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ2122-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000
χ2222-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000
χ2322-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000022-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ2422-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000022-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ2522-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000
χ2622-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000
χ272-2022-2-22-200002-222-2-2000002−222-2-200000000000022−2−22−2002-2022-2-22-200002-222-2-2000002−222-2-200000000000022−2−22−200
χ282-2022-2-22-200002-222-2-200000−2222-2-2000000000000−2−222−22002-2022-2-22-200002-222-2-200000−2222-2-2000000000000−2−222−2200
χ292-2022-2-22-20000-2222-2-2000002−2-2-22200000000000022−2−2−22002-2022-2-22-20000-2222-2-2000002−2-2-22200000000000022−2−2−2200
χ302-2022-2-22-20000-2222-2-200000−22-2-222000000000000−2−2222−2002-2022-2-22-20000-2222-2-200000−22-2-222000000000000−2−2222−200
χ314444444-1-144-1-100-1-1-1-1-1-1-1-10440000000000000000-1-1-1-100004444444-1-144-1-100-1-1-1-1-1-1-1-10440000000000000000-1-1-1-10000
χ324444444-1-144-1-100-1-1-1-1-1-1-1-10-4-40000000000000000111100004444444-1-144-1-100-1-1-1-1-1-1-1-10-4-4000000000000000011110000
χ3344-44444-1-1-4-41100-1-1-1-111110000000000000000000i5−i5i5−i5000044-44444-1-1-4-41100-1-1-1-111110000000000000000000i5−i5i5−i50000
χ3444-44444-1-1-4-41100-1-1-1-111110000000000000000000−i5i5−i5i5000044-44444-1-1-4-41100-1-1-1-111110000000000000000000−i5i5−i5i50000
χ354-4044-4-4-1100i5−i500-1-111i5−i5i5−i5022−220000000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ3900004-4044-4-4-1100i5−i500-1-111i5−i5i5−i5022−220000000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ390000
χ364-4044-4-4-1100i5−i500-1-111i5−i5i5−i50−22220000000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ3900004-4044-4-4-1100i5−i500-1-111i5−i5i5−i50−22220000000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ390000
χ374-4044-4-4-1100−i5i500-1-111−i5i5−i5i5022−220000000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ2900004-4044-4-4-1100−i5i500-1-111−i5i5−i5i5022−220000000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ290000
χ384-4044-4-4-1100−i5i500-1-111−i5i5−i5i50−22220000000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ2900004-4044-4-4-1100−i5i500-1-111−i5i5−i5i50−22220000000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ290000
χ394-40−1+5−1−51−51+54-400004-4−1+5−1−51−51+50000000−1+5−1−51−51+5000000000000000000004-40−1+5−1−51−51+54-400004-4−1+5−1−51−51+50000000−1+5−1−51−51+500000000000000000000
χ404-40−1+5−1−51−51+54-40000-44−1+5−1−51−51+500000001−51+5−1+5−1−5000000000000000000004-40−1+5−1−51−51+54-40000-44−1+5−1−51−51+500000001−51+5−1+5−1−500000000000000000000
χ414-40−1−5−1+51+51−54-400004-4−1−5−1+51+51−50000000−1−5−1+51+51−5000000000000000000004-40−1−5−1+51+51−54-400004-4−1−5−1+51+51−50000000−1−5−1+51+51−500000000000000000000
χ424-40−1−5−1+51+51−54-40000-44−1−5−1+51+51−500000001+51−5−1−5−1+5000000000000000000004-40−1−5−1+51+51−54-40000-44−1−5−1+51+51−500000001+51−5−1−5−1+500000000000000000000
χ43888−2+25−2−25−2+25−2−25-2-2−2+25−2−25-2-2001−521+521−521+521−521−521+521+52000000000000000000000000000888−2+25−2−25−2+25−2−25-2-2−2+25−2−25-2-2001−521+521−521+521−521−521+521+52000000000000000000000000000
χ44888−2−25−2+25−2−25−2+25-2-2−2−25−2+25-2-2001+521−521+521−521+521+521−521−52000000000000000000000000000888−2−25−2+25−2−25−2+25-2-2−2−25−2+25-2-2001+521−521+521−521+521+521−521−52000000000000000000000000000
χ4588-8−2+25−2−25−2+25−2−25-2-22−252+2522001−521+521−521+52−1+52−1+52−1−52−1−5200000000000000000000000000088-8−2+25−2−25−2+25−2−25-2-22−252+2522001−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ4688-8−2−25−2+25−2−25−2+25-2-22+252−2522001+521−521+521−52−1−52−1−52−1+52−1+5200000000000000000000000000088-8−2−25−2+25−2−25−2+25-2-22+252−2522001+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ478-80−2+25−2−252−252+25-22002i5−2i5001−521+52−1+52−1−522ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ380000000000000000000000000008-80−2+25−2−252−252+25-22002i5−2i5001−521+52−1+52−1−522ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38000000000000000000000000000
χ488-80−2+25−2−252−252+25-2200−2i52i5001−521+52−1+52−1−52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ380000000000000000000000000008-80−2+25−2−252−252+25-2200−2i52i5001−521+52−1+52−1−52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38000000000000000000000000000
χ498-80−2−25−2+252+252−25-22002i5−2i5001+521−52−1−52−1+52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ380000000000000000000000000008-80−2−25−2+252+252−25-22002i5−2i5001+521−52−1−52−1+52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38000000000000000000000000000
χ508-80−2−25−2+252+252−25-2200−2i52i5001+521−52−1−52−1+523ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ380000000000000000000000000008-80−2−25−2+252+252−25-2200−2i52i5001+521−52−1−52−1+523ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38000000000000000000000000000
χ5111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ52111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ53111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ54111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111-1-1
χ551111111111111-1-111111111-111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111−ii11−i−i−i−iiiii-1-1-1-111−ii
χ561111111111111-1-111111111-111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111i−i11iiii−i−i−i−i-1-1-1-111i−i
χ571111111111111-1-111111111-1-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−ii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111−ii11−i−i−i−iiiii1111-1-1i−i
χ581111111111111-1-111111111-1-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111i−i11iiii−i−i−i−i1111-1-1−ii
χ59222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-21−521+521−521+52-2-21−521+52-2-2-2-21−521+521−521+521−521−521+521+52-2001−521+521−521+52-2-21−521+521−521−521+521+521−521−521+521+5200000000
χ60222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52200−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+5200000000-2-2-21−521+521−521+52-2-21−521+52-2-2-2-21−521+521−521+521−521−521+521+52-2001−521+521−521+52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ61222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000-2-2-21−521+521−521+52-2-21−521+52-2-2221−521+521−521+521−521−521+521+52200−1+52−1−52−1+52−1−52−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000
χ62222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+521−521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000-2-2-21−521+521−521+52-2-21−521+52-2-2221−521+521−521+521−521−521+521+52200−1+52−1−52−1+52−1−522i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000
χ63222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-21+521−521+521−52-2-21+521−52-2-2-2-21+521−521+521−521+521+521−521−52-2001+521−521+521−52-2-21+521−521+521+521−521−521+521+521−521−5200000000
χ64222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52200−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−5200000000-2-2-21+521−521+521−52-2-21+521−52-2-2-2-21+521−521+521−521+521+521−521−52-2001+521−521+521−52221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ65222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000-2-2-21+521−521+521−52-2-21+521−52-2-2221+521−521+521−521+521+521−521−52200−1−52−1+52−1−52−1+52−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000
χ66222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−521+521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000-2-2-21+521−521+521−52-2-21+521−52-2-2221+521−521+521−521+521+521−521−52200−1−52−1+52−1−52−1+522i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000
χ6722-2222222-2-2-2-2222222-2-2-2-2-200222200-2-20000000000000000-2-22-2-2-2-2-2-22222-2-2-2-2-2-22222200-2-2-2-200220000000000000000
χ6822-2222222-2-2-2-2-2-22222-2-2-2-2200-2-2-2-200220000000000000000-2-22-2-2-2-2-2-2222222-2-2-2-22222-200222200-2-20000000000000000
χ6922-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000-2-221−521+521−521+52-2-2−1+52−1−5222-2-21−521+521−521+52−1+52−1+52−1−52−1−522001−521+521−521+5200−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ7022-2−1+52−1−52−1+52−1−52221−521+52-2-222−1+52−1−52−1+52−1−521−521−521+521+52-200−1+52−1−52−1+52−1−52001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000-2-221−521+521−521+52-2-2−1+52−1−5222-2-21−521+521−521+52−1+52−1+52−1−52−1−522001−521+521−521+5200−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ7122-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000-2-221−521+521−521+52-2-2−1+52−1−5222221−521+521−521+52−1+52−1+52−1−52−1−52-200−1+52−1−52−1+52−1−52001−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000
χ7222-2−1+52−1−52−1+52−1−52221−521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522001−521+521−521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000-2-221−521+521−521+52-2-2−1+52−1−5222221−521+521−521+52−1+52−1+52−1−52−1−52-200−1+52−1−52−1+52−1−52001−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000
χ7322-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000-2-221+521−521+521−52-2-2−1−52−1+5222-2-21+521−521+521−52−1−52−1−52−1+52−1+522001+521−521+521−5200−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ7422-2−1−52−1+52−1−52−1+52221+521−52-2-222−1−52−1+52−1−52−1+521+521+521−521−52-200−1−52−1+52−1−52−1+52001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000-2-221+521−521+521−52-2-2−1−52−1+5222-2-21+521−521+521−52−1−52−1−52−1+52−1+522001+521−521+521−5200−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ7522-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000-2-221+521−521+521−52-2-2−1−52−1+5222221+521−521+521−52−1−52−1−52−1+52−1+52-200−1−52−1+52−1−52−1+52001+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000
χ7622-2−1−52−1+52−1−52−1+52221+521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522001+521−521+521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000-2-221+521−521+521−52-2-2−1−52−1+5222221+521−521+521−52−1−52−1−52−1+52−1+52-200−1−52−1+52−1−52−1+52001+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000
χ772-2022-2-22-200002-222-2-2000002−222-2-200000000000022−2−22−200-220-2-222-220000-22-2-22200000−22-2-222000000000000−2−222−2200
χ782-2022-2-22-200002-222-2-200000−2222-2-2000000000000−2−222−2200-220-2-222-220000-22-2-222000002−2-2-22200000000000022−2−22−200
χ792-2022-2-22-20000-2222-2-2000002−2-2-22200000000000022−2−2−2200-220-2-222-2200002-2-2-22200000−2222-2-2000000000000−2−2222−200
χ802-2022-2-22-20000-2222-2-200000−22-2-222000000000000−2−2222−200-220-2-222-2200002-2-2-222000002−222-2-200000000000022−2−2−2200
χ814444444-1-144-1-100-1-1-1-1-1-1-1-10440000000000000000-1-1-1-10000-4-4-4-4-4-4-411-4-41100111111110-4-4000000000000000011110000
χ824444444-1-144-1-100-1-1-1-1-1-1-1-10-4-4000000000000000011110000-4-4-4-4-4-4-411-4-41100111111110440000000000000000-1-1-1-10000
χ8344-44444-1-1-4-41100-1-1-1-111110000000000000000000i5−i5i5−i50000-4-44-4-4-4-41144-1-1001111-1-1-1-10000000000000000000−i5i5−i5i50000
χ8444-44444-1-1-4-41100-1-1-1-111110000000000000000000−i5i5−i5i50000-4-44-4-4-4-41144-1-1001111-1-1-1-10000000000000000000i5−i5i5−i50000
χ854-4044-4-4-1100i5−i500-1-111i5−i5i5−i5022−220000000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ390000-440-4-4441-100−i5i50011-1-1−i5i5−i5i50−22220000000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ390000
χ864-4044-4-4-1100i5−i500-1-111i5−i5i5−i50−22220000000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ390000-440-4-4441-100−i5i50011-1-1−i5i5−i5i5022−220000000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ390000
χ874-4044-4-4-1100−i5i500-1-111−i5i5−i5i5022−220000000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ290000-440-4-4441-100i5−i50011-1-1i5−i5i5−i50−22220000000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ290000
χ884-4044-4-4-1100−i5i500-1-111−i5i5−i5i50−22220000000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ290000-440-4-4441-100i5−i50011-1-1i5−i5i5−i5022−220000000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ290000
χ894-40−1+5−1−51−51+54-400004-4−1+5−1−51−51+50000000−1+5−1−51−51+500000000000000000000-4401−51+5−1+5−1−5-440000-441−51+5−1+5−1−500000001−51+5−1+5−1−500000000000000000000
χ904-40−1+5−1−51−51+54-40000-44−1+5−1−51−51+500000001−51+5−1+5−1−500000000000000000000-4401−51+5−1+5−1−5-4400004-41−51+5−1+5−1−50000000−1+5−1−51−51+500000000000000000000
χ914-40−1−5−1+51+51−54-400004-4−1−5−1+51+51−50000000−1−5−1+51+51−500000000000000000000-4401+51−5−1−5−1+5-440000-441+51−5−1−5−1+500000001+51−5−1−5−1+500000000000000000000
χ924-40−1−5−1+51+51−54-40000-44−1−5−1+51+51−500000001+51−5−1−5−1+500000000000000000000-4401+51−5−1−5−1+5-4400004-41+51−5−1−5−1+50000000−1−5−1+51+51−500000000000000000000
χ93888−2+25−2−25−2+25−2−25-2-2−2+25−2−25-2-2001−521+521−521+521−521−521+521+52000000000000000000000000000-8-8-82−252+252−252+25222−252+252200−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ94888−2−25−2+25−2−25−2+25-2-2−2−25−2+25-2-2001+521−521+521−521+521+521−521−52000000000000000000000000000-8-8-82+252−252+252−25222+252−252200−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ9588-8−2+25−2−25−2+25−2−25-2-22−252+2522001−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000000000000-8-882−252+252−252+2522−2+25−2−25-2-200−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000000000000
χ9688-8−2−25−2+25−2−25−2+25-2-22+252−2522001+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000-8-882+252−252+252−2522−2−25−2+25-2-200−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000000000000
χ978-80−2+25−2−252−252+25-22002i5−2i5001−521+52−1+52−1−522ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38000000000000000000000000000-8802−252+25−2+25−2−252-200−2i52i500−1+52−1−521−521+52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38000000000000000000000000000
χ988-80−2+25−2−252−252+25-2200−2i52i5001−521+52−1+52−1−52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38000000000000000000000000000-8802−252+25−2+25−2−252-2002i5−2i500−1+52−1−521−521+522ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38000000000000000000000000000
χ998-80−2−25−2+252+252−25-22002i5−2i5001+521−52−1−52−1+52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38000000000000000000000000000-8802+252−25−2−25−2+252-200−2i52i500−1−52−1+521+521−523ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38000000000000000000000000000
χ1008-80−2−25−2+252+252−25-2200−2i52i5001+521−52−1−52−1+523ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38000000000000000000000000000-8802+252−25−2−25−2+252-2002i5−2i500−1−52−1+521+521−52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38000000000000000000000000000

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