Finite Group Databasebeta

← Group #13104202

Character table — Group #13104202

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size112444444444444888888101010102020202020202020202025254040404050100100112444444444444888888101010102020202020202020202025254040404050100100
order12455551010101020202020510202020208888224040404040404040221010101044422410101010101010102020202010102020202088882240404040404040402210101010444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111111111-1-1-1-11-1-11111111111111111111111111-1-11111111111-1-1-1-11-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511-111111111-1-1-1-111-1-1-1-1ii−i−i1-1iiii−i−i−i−i-1-111-1-11i−i11-111111111-1-1-1-111-1-1-1-1ii−i−i1-1iiii−i−i−i−i-1-111-1-11i−i
χ611-111111111-1-1-1-111-1-1-1-1ii−i−i-11iiii−i−i−i−i-1-1-1-1111−ii11-111111111-1-1-1-111-1-1-1-1ii−i−i-11iiii−i−i−i−i-1-1-1-1111−ii
χ711-111111111-1-1-1-111-1-1-1-1−i−iii1-1−i−i−i−iiiii-1-111-1-11−ii11-111111111-1-1-1-111-1-1-1-1−i−iii1-1−i−i−i−iiiii-1-111-1-11−ii
χ811-111111111-1-1-1-111-1-1-1-1−i−iii-11−i−i−i−iiiii-1-1-1-1111i−i11-111111111-1-1-1-111-1-1-1-1−i−iii-11−i−i−i−iiiii-1-1-1-1111i−i
χ922222222222222222222200000000000000-2-20000-20022222222222222222222200000000000000-2-20000-200
χ1022-222222222-2-2-2-222-2-2-2-200000000000000220000-20022-222222222-2-2-2-222-2-2-2-200000000000000220000-200
χ112-202222-2-2-2-200002-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i22-200000002-202222-2-2-2-200002-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i22-20000000
χ122-202222-2-2-2-200002-200002−2−220022−2−2−2−222-2200000002-202222-2-2-2-200002-200002−2−220022−2−2−2−222-220000000
χ132-202222-2-2-2-200002-20000−222−200−2−22222−2−2-2200000002-202222-2-2-2-200002-20000−222−200−2−22222−2−2-220000000
χ142-202222-2-2-2-200002-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-200000002-202222-2-2-2-200002-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-20000000
χ15444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000220000000000−1+52−1−52−1+52−1−52000444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000220000000000−1+52−1−52−1+52−1−52000
χ16444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000-2-200000000001−521+521−521+52000444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000-2-200000000001−521+521−521+52000
χ174443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1222200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000004443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1222200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ184443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1-2-2-2-2001−521+521−521+521−521+521−521+520000000004443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1-2-2-2-2001−521+521−521+521−521+521−521+52000000000
χ194443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1222200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000004443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1222200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ204443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1-2-2-2-2001+521−521+521−521+521−521+521−520000000004443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1-2-2-2-2001+521−521+521−521+521−521+521−52000000000
χ21444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000220000000000−1−52−1+52−1−52−1+52000444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000220000000000−1−52−1+52−1−52−1+52000
χ22444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000-2-200000000001+521−521+521−52000444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000-2-200000000001+521−521+521−52000
χ2344-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−521100002-20000000000−1+52−1−521−521+5200044-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−521100002-20000000000−1+52−1−521−521+52000
χ2444-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52110000-2200000000001−521+52−1+52−1−5200044-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52110000-2200000000001−521+52−1+52−1−52000
χ2544-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−5112i2i−2i−2i00−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000044-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−5112i2i−2i−2i00−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000
χ2644-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511−2i−2i2i2i00ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000044-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511−2i−2i2i2i00ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000
χ2744-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+5112i2i−2i−2i00−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000044-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+5112i2i−2i−2i00−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000
χ2844-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511−2i−2i2i2i00ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000044-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511−2i−2i2i2i00ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000
χ2944-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+521100002-20000000000−1−52−1+521+521−5200044-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+521100002-20000000000−1−52−1+521+521−52000
χ3044-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52110000-2200000000001+521−52−1−52−1+5200044-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52110000-2200000000001+521−52−1−52−1+52000
χ314-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ390000000004-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39000000000
χ324-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ390000000004-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39000000000
χ334-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ290000000004-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29000000000
χ344-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ290000000004-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000
χ354-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ370000000004-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000
χ364-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ370000000004-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000
χ374-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ230000000004-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23000000000
χ384-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ230000000004-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23000000000
χ39888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000000888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000000
χ4088-8-2-2-2-2-2-2-2-222223322-3-30000000000000000000000088-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000000
χ418-80-2-2-2-222222i5−2i52i5−2i53-300−i5i5000000000000000000000008-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000000
χ428-80-2-2-2-22222−2i52i5−2i52i53-300i5−i5000000000000000000000008-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000000
χ438-80−2+25−2−253−53+52−252+25−3+5−3−50000-220000000000000000000000000008-80−2+25−2−253−53+52−252+25−3+5−3−50000-22000000000000000000000000000
χ448-80−2−25−2+253+53−52+252−25−3−5−3+50000-220000000000000000000000000008-80−2−25−2+253+53−52+252−25−3−5−3+50000-22000000000000000000000000000
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111
χ47111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ48111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1
χ4911-111111111-1-1-1-111-1-1-1-1ii−i−i1-1iiii−i−i−i−i-1-111-1-11i−i-1-11-1-1-1-1-1-1-1-11111-1-11111−i−iii-11−i−i−i−iiiii11-1-111-1−ii
χ5011-111111111-1-1-1-111-1-1-1-1ii−i−i-11iiii−i−i−i−i-1-1-1-1111−ii-1-11-1-1-1-1-1-1-1-11111-1-11111−i−iii1-1−i−i−i−iiiii1111-1-1-1i−i
χ5111-111111111-1-1-1-111-1-1-1-1−i−iii1-1−i−i−i−iiiii-1-111-1-11−ii-1-11-1-1-1-1-1-1-1-11111-1-11111ii−i−i-11iiii−i−i−i−i11-1-111-1i−i
χ5211-111111111-1-1-1-111-1-1-1-1−i−iii-11−i−i−i−iiiii-1-1-1-1111i−i-1-11-1-1-1-1-1-1-1-11111-1-11111ii−i−i1-1iiii−i−i−i−i1111-1-1-1−ii
χ5322222222222222222222200000000000000-2-20000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000220000200
χ5422-222222222-2-2-2-222-2-2-2-200000000000000220000-200-2-22-2-2-2-2-2-2-2-22222-2-2222200000000000000-2-20000200
χ552-202222-2-2-2-200002-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i22-20000000-220-2-2-2-222220000-220000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-220000000
χ562-202222-2-2-2-200002-200002−2−220022−2−2−2−222-220000000-220-2-2-2-222220000-220000−222−200−2−22222−2−22-20000000
χ572-202222-2-2-2-200002-20000−222−200−2−22222−2−2-220000000-220-2-2-2-222220000-2200002−2−220022−2−2−2−2222-20000000
χ582-202222-2-2-2-200002-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-20000000-220-2-2-2-222220000-220000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2-220000000
χ59444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000220000000000−1+52−1−52−1+52−1−52000-4-4-41−51+5−3+52−3−521−51+5−3+52−3−521−51−51+51+511−3+52−3−52110000-2-200000000001−521+521−521+52000
χ60444−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-10000-2-200000000001−521+521−521+52000-4-4-41−51+5−3+52−3−521−51+5−3+52−3−521−51−51+51+511−3+52−3−52110000220000000000−1+52−1−52−1+52−1−52000
χ614443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1222200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000-4-4-4−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3+52−3−52−3−52111+51−511-2-2-2-2001−521+521−521+521−521+521−521+52000000000
χ624443−523+52−1−5−1+53−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-1-2-2-2-2001−521+521−521+521−521+521−521+52000000000-4-4-4−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3+52−3−52−3−52111+51−511222200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ634443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1222200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000-4-4-4−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3−52−3+52−3+52111−51+511-2-2-2-2001+521−521+521−521+521−521+521−52000000000
χ644443+523−52−1+5−1−53+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-1-2-2-2-2001+521−521+521−521+521−521+521−52000000000-4-4-4−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3−52−3+52−3+52111−51+511222200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ65444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000220000000000−1−52−1+52−1−52−1+52000-4-4-41+51−5−3−52−3+521+51−5−3−52−3+521+51+51−51−511−3−52−3+52110000-2-200000000001+521−521+521−52000
χ66444−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-10000-2-200000000001+521−521+521−52000-4-4-41+51−5−3−52−3+521+51−5−3−52−3+521+51+51−51−511−3−52−3+52110000220000000000−1−52−1+52−1−52−1+52000
χ6744-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−521100002-20000000000−1+52−1−521−521+52000-4-441−51+5−3+52−3−521−51+5−3+52−3−52−1+5−1+5−1−5−1−5113−523+52-1-10000-2200000000001−521+52−1+52−1−52000
χ6844-4−1+5−1−53−523+52−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52110000-2200000000001−521+52−1+52−1−52000-4-441−51+5−3+52−3−521−51+5−3+52−3−52−1+5−1+5−1−5−1−5113−523+52-1-100002-20000000000−1+52−1−521−521+52000
χ6944-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−5112i2i−2i−2i00−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000-4-44−3+52−3−521+51−5−3+52−3−521+51−53−523−523+523+5211−1−5−1+5-1-1−2i−2i2i2i00ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000
χ7044-43−523+52−1−5−1+53−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511−2i−2i2i2i00ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000-4-44−3+52−3−521+51−5−3+52−3−521+51−53−523−523+523+5211−1−5−1+5-1-12i2i−2i−2i00−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000
χ7144-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+5112i2i−2i−2i00−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000-4-44−3−52−3+521−51+5−3−52−3+521−51+53+523+523−523−5211−1+5−1−5-1-1−2i−2i2i2i00ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000
χ7244-43+523−52−1+5−1−53+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511−2i−2i2i2i00ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000-4-44−3−52−3+521−51+5−3−52−3+521−51+53+523+523−523−5211−1+5−1−5-1-12i2i−2i−2i00−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000
χ7344-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+521100002-20000000000−1−52−1+521+521−52000-4-441+51−5−3−52−3+521+51−5−3−52−3+52−1−5−1−5−1+5−1+5113+523−52-1-10000-2200000000001+521−52−1−52−1+52000
χ7444-4−1−5−1+53+523−52−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52110000-2200000000001+521−52−1−52−1+52000-4-441+51−5−3−52−3+521+51−5−3−52−3+52−1−5−1−5−1+5−1+5113+523−52-1-100002-20000000000−1−52−1+521+521−52000
χ754-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39000000000-440−3+52−3−521+51−53−523+52−1−5−1+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ381-100−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39000000000
χ764-403−523+52−1−5−1+5−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39000000000-440−3+52−3−521+51−53−523+52−1−5−1+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ381-100−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39000000000
χ774-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29000000000-440−3+52−3−521+51−53−523+52−1−5−1+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ381-100i5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000
χ784-403−523+52−1−5−1+5−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000-440−3+52−3−521+51−53−523+52−1−5−1+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ381-100i5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29000000000
χ794-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000-440−3−52−3+521−51+53+523−52−1+5−1−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ381-100−i5i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000
χ804-403+523−52−1+5−1−5−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i52ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000-440−3−52−3+521−51+53+523−52−1+5−1−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ381-100−i5i5−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000
χ814-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23000000000-440−3−52−3+521−51+53+523−52−1+5−1−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ381-100i5−i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23000000000
χ824-403+523−52−1+5−1−5−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i52ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23000000000-440−3−52−3+521−51+53+523−52−1+5−1−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ381-100i5−i5−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23000000000
χ83888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000000-8-8-8222222222222-3-322-3-300000000000000000000000
χ8488-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000000-8-8822222222-2-2-2-2-3-3-2-23300000000000000000000000
χ858-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000000-8802222-2-2-2-2−2i52i5−2i52i5-3300i5−i500000000000000000000000
χ868-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000000-8802222-2-2-2-22i5−2i52i5−2i5-3300−i5i500000000000000000000000
χ878-80−2+25−2−253−53+52−252+25−3+5−3−50000-22000000000000000000000000000-8802−252+25−3+5−3−5−2+25−2−253−53+500002-2000000000000000000000000000
χ888-80−2−25−2+253+53−52+252−25−3−5−3+50000-22000000000000000000000000000-8802+252−25−3−5−3+5−2−25−2+253+53−500002-2000000000000000000000000000

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