Finite Group Databasebeta

← Group #13104145

Character table — Group #13104145

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size111122444444444444444444444444888888888888101010101010101020202020202020202020202020202020202020202525252540404040404040405050100100100100
order12448855551010101020202020202020204040404040404040510202040404040404040402244888824881010101020202020404040404040404022441010202040404040884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1
χ911-1-1i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−ii−i1-1i−i
χ1011-1-1i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i-11−ii1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiii−i-11−ii
χ1111-1-1i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i-1-111−i−iii1-1i−i-1-1-1-11111−i−i−i−iiiii11-1-111-1-1ii−i−ii−i-11−ii
χ1211-1-1i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii-1-1-1-11111−i−i−i−iiiii11-1-1-1-111−i−iiii−i1-1i−i
χ1311-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−ii1-1−ii
χ1411-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii-11i−i1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−ii-11i−i
χ1511-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii-1-111ii−i−i1-1−ii-1-1-1-11111iiii−i−i−i−i11-1-111-1-1−i−iii−ii-11i−i
χ1611-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i-1-1-1-11111iiii−i−i−i−i11-1-1-1-111ii−i−i−ii1-1−ii
χ172222222222222222222222222222222222222222220000000000000000000000000000-2-2-2-200000000-2-20000
χ182222-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000-2-2-2-200000000220000
χ1922-2-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000-2-22200000000−2i2i0000
χ2022-2-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000-2-222000000002i−2i0000
χ212-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392-22i−2i00000000000000
χ222-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392-22i−2i00000000000000
χ232-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i000000002-22i−2i0000000022-2-22i2i−2i−2i00000000-22−2i2i00000000000000
χ242-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i00000000-22−2i2i00000000-2-222−2i−2i2i2i00000000-22−2i2i00000000000000
χ252-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372-2−2i2i00000000000000
χ262-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372-2−2i2i00000000000000
χ272-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i000000002-2−2i2i0000000022-2-2−2i−2i2i2i00000000-222i−2i00000000000000
χ282-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i00000000-222i−2i00000000-2-2222i2i−2i−2i00000000-222i−2i00000000000000
χ29444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13−523+523−523+52-1-1-1-100000000222200000000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ30444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13−523+523−523+52-1-1-1-100000000-2-2-2-2000000000000000000001−521+521−521+521−521+521−521+52000000
χ314444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−523−523+523+523−523−523+523+52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-1222222220000−1+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+52−1−52000000000000000000
χ324444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−523−523+523+523−523−523+523+52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-1-2-2-2-2-2-2-2-200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ334444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+523+523−523−523+523+523−523−52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-1222222220000−1−52−1+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+52000000000000000000
χ344444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+523+523−523−523+523+523−523−52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-1-2-2-2-2-2-2-2-200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ35444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13+523−523+523−52-1-1-1-100000000222200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ36444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13+523−523+523−52-1-1-1-100000000-2-2-2-2000000000000000000001+521−521+521−521+521−521+521−52000000
χ374444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−51−51+51+51−51−51+51+5-1-1-1-1−3+52−3−52−3+52−3−5211110000000022-2-200000000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ384444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−51−51+51+51−51−51+51+5-1-1-1-1−3+52−3−52−3+52−3−52111100000000-2-222000000000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ394444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11+51−51+51−511112222-2-2-2-20000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ404444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11+51−51+51−51111-2-2-2-2222200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ414444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11−51+51−51+511112222-2-2-2-20000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ424444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11−51+51−51+51111-2-2-2-2222200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ434444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+51+51−51−51+51+51−51−5-1-1-1-1−3−52−3+52−3−52−3+5211110000000022-2-200000000000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ444444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+51+51−51−51+51+51−51−5-1-1-1-1−3−52−3+52−3−52−3+52111100000000-2-222000000000000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ4544-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-1-111ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii000000002-22i−2i00000000000000000000−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000
χ4644-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-1-111ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii00000000-22−2i2i000000000000000000001−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000
χ4744-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii22-2-22i2i−2i−2i0000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ4844-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii-2-222−2i−2i2i2i00001−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ4944-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+522ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-1-111−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii22-2-22i2i−2i−2i0000−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ5044-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+522ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-1-111−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii-2-222−2i−2i2i2i00001+521−521+521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ5144-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-1-1112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii000000002-22i−2i00000000000000000000−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000
χ5244-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-1-1112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii00000000-22−2i2i000000000000000000001+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000
χ5344-4-4−4i4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+52ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14-1-111−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i000000002-2−2i2i00000000000000000000−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000
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χ724-4−4i4i003−52−1−5−1+53+52−3+521+51−5−3−52−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ393ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ392ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37-11i−i0000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37-222i−2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700001−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29000000000000000000
χ734-4−4i4i003+52−1+5−1−53−52−3−521−51+5−3+52−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ393ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37-11i−i0000−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ372-2−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000000000000
χ744-4−4i4i003+52−1+5−1−53−52−3−521−51+5−3+52−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ393ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37-11i−i0000−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37-222i−2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700001+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000000000000
χ754-4−4i4i003+52−1+5−1−53−52−3−521−51+5−3+52−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ383ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37-11i−i0000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ372-2−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37000000000000000000
χ764-4−4i4i003+52−1+5−1−53−52−3−521−51+5−3+52−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ383ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37-11i−i0000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37-222i−2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700001+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37000000000000000000
χ77888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23333-2-2-2-233330000000000000000000000000000000000000000000000
χ788888-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222233332222-3-3-3-30000000000000000000000000000000000000000000000
χ7988-8-88i−8i-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i2i2i2i2i33-3-3−2i−2i2i2i3i3i−3i−3i0000000000000000000000000000000000000000000000
χ8088-8-8−8i8i-2-2-2-2-2-2-2-2222222222i2i2i2i−2i−2i−2i−2i33-3-32i2i−2i−2i−3i−3i3i3i0000000000000000000000000000000000000000000000
χ818-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ37−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ393-33i−3i0000−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ390000000000000000000000000000000000000000000000
χ828-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ372ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ393-33i−3i0000ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ390000000000000000000000000000000000000000000000
χ838-88i−8i00−2+253−53+5−2−252−25−3+5−3−52+25−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ144ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ1400000000-22−2i2i000000000000000000000000000000000000000000000000000000
χ848-88i−8i00−2−253+53−5−2+252+25−3−5−3+52−25−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ3800000000-22−2i2i000000000000000000000000000000000000000000000000000000
χ858-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ392ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ373-3−3i3i0000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ370000000000000000000000000000000000000000000000
χ868-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i2ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ39−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ373-3−3i3i0000−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ370000000000000000000000000000000000000000000000
χ878-8−8i8i00−2+253−53+5−2−252−25−3+5−3−52+254ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ1400000000-222i−2i000000000000000000000000000000000000000000000000000000
χ888-8−8i8i00−2−253+53−5−2+252+25−3−5−3+52−254ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ3800000000-222i−2i000000000000000000000000000000000000000000000000000000

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