Finite Group Databasebeta

← Group #12019670

Character table — Group #12019670

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122222444448888888888881616161616161616161616162020202080808011222224444488888888888816161616161616161616161620202020808080
order1225510104441010242020202020202020202088101040404040404040408888444222101010104441010242020202020202020202088101040404040404040408888444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1i−i111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1i−i
χ6111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-11−ii111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-11−ii
χ7111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1−ii111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1−ii
χ8111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-11i−i111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-11i−i
χ92222222-2-22222-222-2-2-2-2-2-2-2-200220000000000000002222222-2-22222-222-2-2-2-2-2-2-2-20022000000000000000
χ102222222-2-2222-2222-2-2-2-2222200-2-20000000000000002222222-2-2222-2222-2-2-2-2222200-2-2000000000000000
χ11222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−520000000222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−520000000
χ12222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000
χ13222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ14222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ15222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ16222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ17222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000
χ18222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000
χ19222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ20222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000
χ21222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ22222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ23222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ24222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ25222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000
χ26222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000
χ27444444400-44400-4-4000000000000000000000000000444444400-44400-4-4000000000000000000000000000
χ28444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000
χ29444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000
χ30444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000
χ31444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000
χ3244-44444000-4-40000000000000000000000002i2i−2i−2i00044-44444000-4-40000000000000000000000002i2i−2i−2i000
χ3344-44444000-4-4000000000000000000000000−2i−2i2i2i00044-44444000-4-4000000000000000000000000−2i−2i2i2i000
χ344-4044-4-42i−2i00000002i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390004-4044-4-42i−2i00000002i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000
χ354-4044-4-42i−2i00000002i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390004-4044-4-42i−2i00000002i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000
χ364-4044-4-4−2i2i0000000−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370004-4044-4-4−2i2i0000000−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000
χ374-4044-4-4−2i2i0000000−2i2i−2i2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370004-4044-4-4−2i2i0000000−2i2i−2i2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000
χ3888-8−2+25−2−25−2+25−2−250002−252+25000000000000000000000000000000088-8−2+25−2−25−2+25−2−250002−252+250000000000000000000000000000000
χ3988-8−2−25−2+25−2−25−2+250002+252−25000000000000000000000000000000088-8−2−25−2+25−2−25−2+250002+252−250000000000000000000000000000000
χ408-80−2+25−2−252−252+254i−4i0000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000008-80−2+25−2−252−252+254i−4i0000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000
χ418-80−2+25−2−252−252+25−4i4i00000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000008-80−2+25−2−252−252+25−4i4i00000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000
χ428-80−2−25−2+252+252−254i−4i0000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000008-80−2−25−2+252+252−254i−4i0000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000
χ438-80−2−25−2+252+252−25−4i4i00000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000008-80−2−25−2+252+252−25−4i4i00000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ45111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ46111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111
χ47111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1
χ48111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i1111-1i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−ii11−i−i−i−iiiii-1-1-1-11−ii
χ49111111111111-1-1111111-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-11−ii-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−ii11−i−i−i−iiiii1111-1i−i
χ50111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii1111-1−ii-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−i11iiii−i−i−i−i-1-1-1-11i−i
χ51111111111111-1-1111111-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-11i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−i11iiii−i−i−i−i1111-1−ii
χ522222222-2-22222-222-2-2-2-2-2-2-2-20022000000000000000-2-2-2-2-2-2-222-2-2-2-22-2-22222222200-2-2000000000000000
χ532222222-2-2222-2222-2-2-2-2222200-2-2000000000000000-2-2-2-2-2-2-222-2-2-22-2-2-22222-2-2-2-20022000000000000000
χ54222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−520000000-2-2-21−521+521−521+52-2-2-21−521+52-2-21−521+521−521−521+521+521−521−521+521+52-2-21−521+521−521−521+521+521−521−521+521+520000000
χ55222−1+52−1−52−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000-2-2-21−521+521−521+52-2-2-21−521+52-2-21−521+521−521−521+521+521−521−521+521+52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ56222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000-2-2-21−521+521−521+52-2-2-21−521+52221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ57222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000-2-2-21−521+521−521+52-2-2-21−521+52221−521+521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ58222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000-2-2-21−521+521−521+5222-21−521+52-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ59222−1+52−1−52−1+52−1−52-2-22−1+52−1−522-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000-2-2-21−521+521−521+5222-21−521+52-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ60222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000-2-2-21−521+521−521+5222-21−521+522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000
χ61222−1+52−1−52−1+52−1−52-2-22−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ360000000-2-2-21−521+521−521+5222-21−521+522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−52ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ360000000
χ62222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-2-2-21+521−521+521−52-2-2-21+521−52-2-21+521−521+521+521−521−521+521+521−521−52-2-21+521−521+521+521−521−521+521+521−521−520000000
χ63222−1−52−1+52−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000-2-2-21+521−521+521−52-2-2-21+521−52-2-21+521−521+521+521−521−521+521+521−521−52221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ64222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000-2-2-21+521−521+521−52-2-2-21+521−52221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ65222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000-2-2-21+521−521+521−52-2-2-21+521−52221+521−521+521+521−521−52−1−52−1−52−1+52−1+522i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ66222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000-2-2-21+521−521+521−5222-21+521−52-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ67222−1−52−1+52−1−52−1+52-2-22−1−52−1+522-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000-2-2-21+521−521+521−5222-21+521−52-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ68222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000-2-2-21+521−521+521−5222-21+521−522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000
χ69222−1−52−1+52−1−52−1+52-2-22−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ280000000-2-2-21+521−521+521−5222-21+521−522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000
χ70444444400-44400-4-4000000000000000000000000000-4-4-4-4-4-4-4004-4-40044000000000000000000000000000
χ71444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000-4-4-41−51+51−51+50041−51+500−1+5−1−50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000
χ72444−1+5−1−5−1+5−1−500-4−1+5−1−5001−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000-4-4-41−51+51−51+50041−51+500−1+5−1−500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000
χ73444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000-4-4-41+51−51+51−50041+51−500−1−5−1+500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000
χ74444−1−5−1+5−1−5−1+500-4−1−5−1+5001+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000-4-4-41+51−51+51−50041+51−500−1−5−1+50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000
χ7544-44444000-4-40000000000000000000000002i2i−2i−2i000-4-44-4-4-4-400044000000000000000000000000−2i−2i2i2i000
χ7644-44444000-4-4000000000000000000000000−2i−2i2i2i000-4-44-4-4-4-4000440000000000000000000000002i2i−2i−2i000
χ774-4044-4-42i−2i00000002i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000-440-4-444−2i2i0000000−2i2i−2i2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000
χ784-4044-4-42i−2i00000002i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000-440-4-444−2i2i0000000−2i2i−2i2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000
χ794-4044-4-4−2i2i0000000−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000-440-4-4442i−2i00000002i−2i2i−2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000
χ804-4044-4-4−2i2i0000000−2i2i−2i2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000-440-4-4442i−2i00000002i−2i2i−2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000
χ8188-8−2+25−2−25−2+25−2−250002−252+250000000000000000000000000000000-8-882−252+252−252+25000−2+25−2−250000000000000000000000000000000
χ8288-8−2−25−2+25−2−25−2+250002+252−250000000000000000000000000000000-8-882+252−252+252−25000−2−25−2+250000000000000000000000000000000
χ838-80−2+25−2−252−252+254i−4i0000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000-8802−252+25−2+25−2−25−4i4i00000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000
χ848-80−2+25−2−252−252+25−4i4i00000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000-8802−252+25−2+25−2−254i−4i0000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000
χ858-80−2−25−2+252+252−254i−4i0000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000-8802+252−25−2−25−2+25−4i4i00000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000
χ868-80−2−25−2+252+252−25−4i4i00000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000-8802+252−25−2−25−2+254i−4i0000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000

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