Finite Group Databasebeta

← Group #65129

Character table — Group #65129

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222222222224444444444444444444444444444101010101010101020202020
order1222444455888810101010101020202020202020204488202020202020202040404040404040404040404040404040444488882488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ121111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i
χ131111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ141111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i
χ151111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−ii
χ1722222222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ1822222222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ1922222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ2022222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2122222222−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ2222222222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ2322222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ2422222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ252222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+522-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ262222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-22−2i2i1−521−521+521+52−1+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−ζ14000000000000
χ272222-2-2-2-2−1+52−1−52−2i−2i2i2i−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+522-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ282222-2-2-2-2−1+52−1−52−2i−2i2i2i−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-222i−2i1−521−521+521+52−1+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+ζ14000000000000
χ292222-2-2-2-2−1−52−1+522i2i−2i−2i−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−522-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ302222-2-2-2-2−1−52−1+522i2i−2i−2i−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−52-22−2i2i1+521+521−521−52−1−52−1−52−1+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−ζ38000000000000
χ312222-2-2-2-2−1−52−1+52−2i−2i2i2i−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−522-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ322222-2-2-2-2−1−52−1+52−2i−2i2i2i−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−52-222i−2i1+521+521−521−52−1−52−1−52−1+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+ζ38000000000000
χ3322-2-222-2-22200002-2-22-2-2-2-2-2-2222200000000000000000000000000002i−2i2i−2i00000000
χ3422-2-222-2-22200002-2-22-2-2-2-2-2-222220000000000000000000000000000−2i2i−2i2i00000000
χ3522-2-2-2-2222200002-2-22-2-22222-2-2-2-200000000000000000000000000002i−2i−2i2i00000000
χ3622-2-2-2-2222200002-2-22-2-22222-2-2-2-20000000000000000000000000000−2i2i2i−2i00000000
χ372-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ382-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ392-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ402-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ412-2-222i−2i−2i2i22−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39-2-22-2-22−2i2i−2i2i2i−2i2i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ422-2-222i−2i−2i2i222ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ432-2-222i−2i−2i2i−1+52−1−52−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−521−52−1+521+521+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ13+ζ37−ζ13−ζ37ζ21+ζ29−ζ21−ζ29ζ7+ζ23−ζ7−ζ23ζ31+ζ39−ζ31−ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000000000000
χ442-2-222i−2i−2i2i−1+52−1−52−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−521−52−1+521+521+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ13+ζ37−ζ13−ζ37ζ21+ζ29−ζ21−ζ29ζ7+ζ23−ζ7−ζ23ζ31+ζ39−ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000000000000
χ452-2-222i−2i−2i2i−1+52−1−522ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−521−52−1+521+521+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ13−ζ37ζ13+ζ37−ζ21−ζ29ζ21+ζ29−ζ7−ζ23ζ7+ζ23−ζ31−ζ39ζ31+ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000000000000
χ462-2-222i−2i−2i2i−1+52−1−522ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−521−52−1+521+521+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ13−ζ37ζ13+ζ37−ζ21−ζ29ζ21+ζ29−ζ7−ζ23ζ7+ζ23−ζ31−ζ39ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000000000000
χ472-2-222i−2i−2i2i−1−52−1+52−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+521+52−1−521−521−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ21+ζ29−ζ21−ζ29ζ13+ζ37−ζ13−ζ37ζ31+ζ39−ζ31−ζ39ζ7+ζ23−ζ7−ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000000000000
χ482-2-222i−2i−2i2i−1−52−1+52−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+521+52−1−521−521−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ21+ζ29−ζ21−ζ29ζ13+ζ37−ζ13−ζ37ζ31+ζ39−ζ31−ζ39ζ7+ζ23−ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000000000000
χ492-2-222i−2i−2i2i−1−52−1+522ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+521+52−1−521−521−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ21−ζ29ζ21+ζ29−ζ13−ζ37ζ13+ζ37−ζ31−ζ39ζ31+ζ39−ζ7−ζ23ζ7+ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000000000000
χ502-2-222i−2i−2i2i−1−52−1+522ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+521+52−1−521−521−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ21−ζ29ζ21+ζ29−ζ13−ζ37ζ13+ζ37−ζ31−ζ39ζ31+ζ39−ζ7−ζ23ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000000000000
χ512-2-22−2i2i2i−2i22−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37-2-22-2-222i−2i2i−2i−2i2i−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ522-2-22−2i2i2i−2i222ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37-2-22-2-222i−2i2i−2i−2i2i−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ532-2-22−2i2i2i−2i−1+52−1−52−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−521−52−1+521+521+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ7+ζ23−ζ7−ζ23ζ31+ζ39−ζ31−ζ39ζ13+ζ37−ζ13−ζ37ζ21+ζ29−ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000000000
χ542-2-22−2i2i2i−2i−1+52−1−52−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−521−52−1+521+521+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ7+ζ23−ζ7−ζ23ζ31+ζ39−ζ31−ζ39ζ13+ζ37−ζ13−ζ37ζ21+ζ29−ζ21−ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000000000
χ552-2-22−2i2i2i−2i−1+52−1−522ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−521−52−1+521+521+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ7−ζ23ζ7+ζ23−ζ31−ζ39ζ31+ζ39−ζ13−ζ37ζ13+ζ37−ζ21−ζ29ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000000000
χ562-2-22−2i2i2i−2i−1+52−1−522ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−521−52−1+521+521+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ7−ζ23ζ7+ζ23−ζ31−ζ39ζ31+ζ39−ζ13−ζ37ζ13+ζ37−ζ21−ζ29ζ21+ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000000000
χ572-2-22−2i2i2i−2i−1−52−1+52−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+521+52−1−521−521−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ31+ζ39−ζ31−ζ39ζ7+ζ23−ζ7−ζ23ζ21+ζ29−ζ21−ζ29ζ13+ζ37−ζ13−ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000000000
χ582-2-22−2i2i2i−2i−1−52−1+52−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+521+52−1−521−521−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ31+ζ39−ζ31−ζ39ζ7+ζ23−ζ7−ζ23ζ21+ζ29−ζ21−ζ29ζ13+ζ37−ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000000000
χ592-2-22−2i2i2i−2i−1−52−1+522ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+521+52−1−521−521−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ31−ζ39ζ31+ζ39−ζ7−ζ23ζ7+ζ23−ζ21−ζ29ζ21+ζ29−ζ13−ζ37ζ13+ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000000000
χ602-2-22−2i2i2i−2i−1−52−1+522ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+521+52−1−521−521−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ31−ζ39ζ31+ζ39−ζ7−ζ23ζ7+ζ23−ζ21−ζ29ζ21+ζ29−ζ13−ζ37ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000000000
χ6144-4-444-4-4−1+5−1−50000−1+51−51−5−1−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000
χ6244-4-444-4-4−1−5−1+50000−1−51+51+5−1+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000
χ6344-4-4-4-444−1+5−1−50000−1+51−51−5−1−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000
χ6444-4-4-4-444−1−5−1+50000−1−51+51+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000
χ654-44-44i−4i4i−4i−1+5−1−500001−5−1+51−51+5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ664-44-44i−4i4i−4i−1−5−1+500001+5−1−51+51−5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ674-44-4−4i4i−4i4i−1+5−1−500001−5−1+51−51+5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ684-44-4−4i4i−4i4i−1−5−1+500001+5−1−51+51−5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000

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